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1*c. Let a(x) = 29*x**3 - 9*x**2 - 23*x + 6. Let m(n) = -a(n) + 3*u(n). What is the second derivative of m(q) wrt q? -138*q + 12 What is the first derivative of -778*y - 1521 - 84187*y**2 + 84190*y**2 - 6947 - 4516 wrt y? 6*y - 778 Let f(d) be the first derivative of -5*d**5 - 21*d**4/4 - 3425*d**3/3 - 703. Find the third derivative of f(v) wrt v. -600*v - 126 What is the third derivative of -698*c**2 + 22*c**3 + 91*c**2 + 57*c**4 + 8*c**3 - 204*c**2 wrt c? 1368*c + 180 Let w be 160/140*14/4. Find the first derivative of -103 + 4*d**2 - 238*d**4 + 709*d**4 - 238*d**4 - 232*d**w wrt d. 4*d**3 + 8*d Let u(f) be the second derivative of 3*f**5/5 - f**4/12 + 229*f**3/3 - 1282*f. Find the second derivative of u(w) wrt w. 72*w - 2 Suppose -1888 + 7022 = 34*t. What is the second derivative of -28*x + 44*x - 10*x**3 + t*x + 2*x**2 wrt x? -60*x + 4 Let p(o) be the second derivative of 1/6*o**3 - 3 + 3/2*o**2 + 10/3*o**4 + 2*o + 3/20*o**5. Find the second derivative of p(i) wrt i. 18*i + 80 Let m be 18/14 - 96/(-56). Let q(h) be the first derivative of 2*h + 0*h**m - 18 + 0*h**2 + 13/5*h**5 + 0*h**4. Find the first derivative of q(a) wrt a. 52*a**3 Let t be ((-12)/5)/(-2 - (-74)/40). What is the first derivative of 397*f**4 + 2*f - 399*f**4 + 18 + t - 22*f wrt f? -8*f**3 - 20 Let o(d) be the first derivative of d**6/6 + 337*d**5/5 + 2*d**3/3 - 39*d**2/2 - 2*d + 2752. What is the second derivative of o(a) wrt a? 20*a**3 + 4044*a**2 + 4 Let j(f) be the third derivative of -107*f**4/2 + 415*f**3/3 - 4*f**2 + 38. Differentiate j(x) wrt x. -1284 Let n(y) be the second derivative of 1083*y**4/4 - 12*y**3 - y**2/2 - 5082*y. Find the second derivative of n(b) wrt b. 6498 Let x be 18/48 - 85/(-8). Let s(z) = 55*z + 4. Let q be s(4). Find the second derivative of -q + 224 + x*p + 21*p**2 wrt p. 42 What is the derivative of -49 + 47*r**4 + 335643*r**3 - 335643*r**3 wrt r? 188*r**3 Let d(f) be the third derivative of -59/120*f**6 + 0*f**3 + 0 + 0*f**5 - 3*f**2 - 19*f - 49/12*f**4. Find the second derivative of d(s) wrt s. -354*s Suppose 3*c = 5*s + 233 + 11, c - 3*s = 80. Let p = c - 71. Differentiate 11*k - 12*k - 32 - p*k wrt k. -13 What is the second derivative of 1907*h**5 - h**4 - 643 + 1 - 27*h + 30*h + h**4 wrt h? 38140*h**3 Suppose 2*f - 25 = o - 76, 0 = 2*o + 4*f - 126. Let n = 72 - o. What is the second derivative of -22*m + n*m + m**3 - 3*m**3 wrt m? -12*m Let s(w) = 14*w**2 + 69*w - 2001. Let k(b) = 18*b**2 + 68*b - 2004. Let i(h) = -4*k(h) + 5*s(h). What is the first derivative of i(r) wrt r? -4*r + 73 Let x(b) be the second derivative of -2*b**6/15 - 5*b**5/4 - 320*b**2 + 3*b - 283. Differentiate x(l) with respect to l. -16*l**3 - 75*l**2 Suppose -6*n + 60 = 6*n. Find the second derivative of 3*w + 4*w**4 - n*w**2 + w**2 - w**4 + 8 + 28*w**2 wrt w. 36*w**2 + 48 Let j be (1296/180)/((-2)/(-40)). What is the first derivative of -18*l + 87 - 45*l - j*l - 123*l + 75*l wrt l? -255 Suppose -o = -7 + 4. Let f(s) = s**2 + s + 18. Let l be f(0). Differentiate -1253*c - l - 15*c**o + 1253*c with respect to c. -45*c**2 What is the derivative of -4804*v**2 + 4502 - 924*v**2 - 1899*v**2 + 362 wrt v? -15254*v Let i(d) = 15*d**2 + 3*d + 4. Let m = 56 - 57. Let s be i(m). What is the third derivative of -2*j**6 + 5*j**2 - s*j**3 + 8*j**3 + 8*j**3 wrt j? -240*j**3 Suppose -10 = -29*b + 164. What is the derivative of 90*k - 10 + 127*k - 24*k - 221 + b*k wrt k? 199 Let y(a) = 3*a - 2. Let i(f) = 3356*f + 14268. Let n(s) = i(s) + 7*y(s). Find the first derivative of n(c) wrt c. 3377 Let r = -13695 - -13695. Let q(v) be the second derivative of -3/2*v**5 + 0*v**2 + r*v**3 - 13/12*v**4 + 0 + 43*v. Find the third derivative of q(p) wrt p. -180 Let r(c) = 23942*c**3 + 133*c - 23003. Let a(s) = 7981*s**3 + 42*s - 7667. Let i(l) = 19*a(l) - 6*r(l). Differentiate i(m) with respect to m. 23961*m**2 Let o = 169 + -167. Find the third derivative of -2596 + 2596 - 66*q**5 + 22*q**o wrt q. -3960*q**2 Let m(u) be the second derivative of u**8/28 + 85*u**7/42 - 3*u**5/10 - u**4/12 + 803*u**3/3 + u**2/2 - 695*u - 1. What is the third derivative of m(y) wrt y? 240*y**3 + 5100*y**2 - 36 Let r(x) be the second derivative of 49*x + 0*x**3 + 7/20*x**5 + 0 + 109/2*x**2 + 0*x**4. Find the first derivative of r(m) wrt m. 21*m**2 Let q be 1 - -74*(-3)/(-6). Let f = 41 - q. Differentiate 2 + c**f + 1 + 10 wrt c. 3*c**2 Let h(f) be the first derivative of 1076*f**2 + 8908*f - 653. What is the first derivative of h(r) wrt r? 2152 Suppose 3*l = -t + 17, -5*t + 19 = 3*l + l. Find the second derivative of -s + 2*s - s**5 - 156*s**4 - l + 343*s**4 wrt s. -20*s**3 + 2244*s**2 Differentiate -2959 - 5*o + 7*o - 46*o**3 - 763 - 67*o**2 + 43*o**3 wrt o. -9*o**2 - 134*o + 2 Let f(j) be the second derivative of 439*j**5/4 - 192*j**4 + 3484*j. What is the third derivative of f(y) wrt y? 13170 Suppose -2*g + 201 = -2*b + b, -3*b + 315 = 3*g. Let d(s) be the first derivative of -g - 11*s**2 + 53 + 56 + 6*s. Find the first derivative of d(x) wrt x. -22 Let x(a) be the third derivative of 17*a**7/35 + a**6/120 - 337*a**5/30 - 497*a**2. What is the third derivative of x(t) wrt t? 2448*t + 6 Suppose 2*q - q + 18 = 0. Let p be (-6)/q*-15*(-6)/10. Find the third derivative of -25*l**5 + 14*l**3 + p*l**2 - 14*l**3 wrt l. -1500*l**2 Differentiate 555*i**3 + 71*i**3 + 4*i**2 - 4*i**2 - 1856 + 327 with respect to i. 1878*i**2 What is the derivative of -1332082*t - 265 + 1332082*t - 232*t**4 wrt t? -928*t**3 Let o(w) = -2786*w**2 + 1719*w + 30. Let b(p) = 928*p**2 - 573*p - 11. Let u(c) = 8*b(c) + 3*o(c). What is the second derivative of u(v) wrt v? -1868 Let g(s) be the third derivative of 0*s**6 + 0*s**4 + 0*s**5 + 1/3*s**3 + 4*s**2 + 137/210*s**7 + 0 - 7*s. What is the first derivative of g(m) wrt m? 548*m**3 Suppose 47 - 12 = 5*w. Find the third derivative of -w*k**2 - 125 + 60 - 35*k**3 - 22*k**3 + 61 wrt k. -342 Let y = -300 - -310. Find the first derivative of y*r**3 - 338*r**4 - 267*r**4 - 10*r**3 + 201 + 294*r**4 wrt r. -1244*r**3 Let h(k) be the third derivative of 275*k**8/168 + 457*k**4/24 + 3*k**2 - 151. Find the second derivative of h(v) wrt v. 11000*v**3 Suppose -46*a = -4*a - 126. Differentiate 3*n**3 - 6*n**4 - 5*n**a - 98 - 12*n**3 wrt n. -24*n**3 - 42*n**2 Let d(r) be the first derivative of 2421*r**4/2 + 1795*r**3/3 - 2992. What is the third derivative of d(b) wrt b? 29052 Let l(p) = p**2 - 3. Let k = -119 + 125. Let c(z) = 16*z**3 - 7*z**2 + 86*z + 18. Let s(j) = k*l(j) + c(j). Find the second derivative of s(g) wrt g. 96*g - 2 Suppose 2*l - 114 - 74 = 0. Let k(c) = 7*c**2 - 11*c - 16. Let z be k(-3). What is the derivative of z - 3*q**3 - l - q**3 wrt q? -12*q**2 Let s(y) be the third derivative of -169*y**7/42 - y**5/60 - 207*y**4/4 - 271*y**2 - 3. Find the third derivative of s(p) wrt p. -20280*p Let z(l) = 2*l**2 - 5*l - 2. Let q be z(4). Find the third derivative of -q*g**2 - 22 + 22 + 2*g**3 + 27*g**5 + 223*g**2 - 3*g**3 wrt g. 1620*g**2 - 6 Let b(i) be the second derivative of i**7/21 - 47*i**6/30 + i**4/6 - 402*i**3 - 14632*i. What is the third derivative of b(r) wrt r? 120*r**2 - 1128*r Suppose -119*j = -115*j - 24. Suppose -j*u = -14*u + 96. What is the third derivative of u*o**2 + 10*o**2 + 1889 - 17*o**6 - 1889 wrt o? -2040*o**3 Let p(l) be the second derivative of 3*l**7/2 - l**6/6 - 118*l**3/3 + 25*l**2/2 - 87*l - 18. Find the second derivative of p(m) wrt m. 1260*m**3 - 60*m**2 Let q(o) be the third derivative of o**6/120 - o**5/15 + o**3/6 - 45*o**2. Let d be q(7). What is the first derivative of 52*i - 27 - d*i + 56*i wrt i? -40 Suppose -6*a - 36 = -0. Let b be (-1*16/a)/((-2)/(-3)). What is the third derivative of 19*v**b - 10*v**2 + 18*v**2 + 6*v**2 wrt v? 456*v Suppose 0 = -z - 5*i + 23, 2*i + 0*i - 5 = z. Let c(n) = -56*n + 65. Let s(x) = 2*x. Let k(a) = z*s(a) - c(a). What is the first derivative of k(f) wrt f? 62 What is the third derivative of 19*x**4 - 1084*x**2 - 14*x**6 + 53*x**6 - x**4 - 12*x**4 + 220*x**2 wrt x? 4680*x**3 + 144*x Let c(a) be the first derivative of 11/20*a**5 + 2*a**2 + 0*a + 0*a**4 - 23 - 10/3*a**3. Let v(i) be the second derivative of c(i). Differentiate v(y) wrt y. 66*y What is the second derivative of 752*x + 716*x + 742*x + x**2 + 504*x - 360*x**
{ "pile_set_name": "DM Mathematics" }
0 Let s be -4*(-7)/(21/6064992). Suppose 5*t + 6259968 = 2*t. Let h = s + t. What is h rounded to the nearest 1000000? 6000000 Let v = -0.061 + -1.339. Let u = v + 1.40000005. Round u to 7 dps. 0.0000001 Let n = 47 - 97. Let u = -50.0014 - n. What is u rounded to 4 dps? -0.0014 Let h = 1379381986 + -1379382059.6999639. Let n = h + 73.7. Round n to 6 decimal places. 0.000036 Let v = 8.054 + -8. Let m = 0.0540027 - v. What is m rounded to 6 decimal places? 0.000003 Let s = -1023.70484515 - -1021.51485. Let n = s - -2.19. What is n rounded to seven dps? 0.0000049 Let d = -0.04 - 0.01. Let c = -0.29 - d. What is c rounded to one decimal place? -0.2 Let w = -2369 - -2368.995194. Round w to 3 decimal places. -0.005 Let i = 12 - 11.99. Let a = 0.01042 - i. What is a rounded to 4 dps? 0.0004 Let f = -358651.8 - -358655.799999. Let o = f - 4. Round o to 6 dps. -0.000001 Let d be -1*((-160)/(-12))/(8/3012). Round d to the nearest 1000. -5000 Let r = -15793 + 25193. What is r rounded to the nearest one hundred? 9400 Let s = 88 + -83. Suppose 0 = 2*p - s*p - 5*c + 102005, 5*p - 169997 = 3*c. What is p rounded to the nearest one hundred thousand? 0 Let h = 16.039 - 16.74. Let s = h + -0.069. What is s rounded to one dp? -0.8 Let c = 30.7 + 1.3. Let b = -17 + c. Let i = -15.0000016 + b. Round i to 7 decimal places. -0.0000016 Let f(l) = -7*l**3 - 12*l**2 + 8*l - 7. Let j be f(13). Let i = j - 42690. Round i to the nearest ten thousand. -60000 Suppose 0 = -5*a + 4*t + 2078751 + 2671104, 4749900 = 5*a + 5*t. Suppose 5*y = r - 3*r - 950010, -5*r + a = -5*y. What is y rounded to the nearest 100000? -200000 Let p = -0.2763 - 21.8537. Round p to 0 dps. -22 Suppose 211809420 = -5*s + 17*s. Let n = -9250785 + s. What is n rounded to the nearest 1000000? 8000000 Suppose 3*j + 8080759 = -7969241. Round j to the nearest one hundred thousand. -5400000 Let s = -1141153784791661.09500053 + 1141153780135403. Let g = s - -4656258. Let i = g + 0.095. What is i rounded to 7 decimal places? -0.0000005 Let r = 889 - 885.24. Round r to zero dps. 4 Let p = -2045 - -2044.9997382. What is p rounded to six dps? -0.000262 Suppose -3*n = 1 + 23. Let j = -4 - n. Suppose -5*g + 380968 + 234028 = 2*m, 492002 = j*g - m. Round g to the nearest 10000. 120000 Let r = 5.256 + -4.03. Round r to one decimal place. 1.2 Let k = -15 + 17. Suppose 4*v - 2*z = -4*z + 284004, 0 = -z + k. Let m be -4*(2*v)/(-4). Round m to the nearest 10000. 140000 Let s = 0.155 - -102.845. Let h = s - 103.000082. Round h to 5 dps. -0.00008 Suppose -2977 = 5*i + 11023. What is i rounded to the nearest ten thousand? 0 Suppose 2 = 4*w - 5*n, 0 = 4*w + n - 3 - 11. Suppose 3*c = c + 5*t + 46, w*c = 4*t + 76. Suppose 3*j - c = 4*j. What is j rounded to the nearest 10? -30 Let t = 0.03 - 7.53. Let d = t - -7.583. Let l = d - -0.011. Round l to 2 dps. 0.09 Let x = -0.586 - -0.5860363. What is x rounded to five dps? 0.00004 Let f = -25.18 - -25.17994724. What is f rounded to 6 dps? -0.000053 Let p = -490238 + 757738. Let s be 10/((-1)/4*(-10)/p). What is s rounded to the nearest 100000? 1100000 Suppose 2*t + 125879998 = 3*w, 5*w - 209799996 = -23*t + 27*t. What is w rounded to the nearest 1000000? 42000000 Let t(a) = -10*a**2 + 1. Let l(h) = -2*h**3 + 2*h**2 - 1. Let b be l(1). Let c be t(b). Let m(g) = 433*g - 3. Let p be m(c). Round p to the nearest 1000. -4000 Let q = -6926580 + 6926579.7000031. Let w = -2.7 - -3. Let t = w + q. What is t rounded to 6 dps? 0.000003 Let j(c) be the second derivative of c**4/6 - 4*c**3/3 - c**2/2 + 6*c. Let q be j(-9). Round q to the nearest ten. 230 Let i = -735.402 - -734.732037. Let n = -0.99 + 1.66. Let g = n + i. Round g to 5 dps. 0.00004 Suppose 0 = 3*y - h + 1140005, -5*y = 4*h + 1079027 + 820953. What is y rounded to the nearest 1000000? 0 Let q = -0.073 + -0.0506. Let l = -0.1236621 - q. Round l to five decimal places. -0.00006 Let j = 0.1 + 0.5. Let q = -5.4 - j. Let s = q + 6.0000002. What is s rounded to six dps? 0 Suppose -2*n - s + 2*s + 15 = 0, -3*n + 5*s = -40. Suppose -m - 4040002 = -n*m + b, -5*b + 4039990 = 4*m. Round m to the nearest 100000. 1000000 Let b be (-20*5)/((-8)/67440*1). Round b to the nearest 10000. 840000 Suppose 3*n = 5*g - 2*n - 35, 17 = 2*g - 3*n. Let b be 2 - 6865/(-2)*172. Suppose 18209608 = -g*a - b. What is a rounded to the nearest one million? -5000000 Let p(g) = -g**2 + 10*g + 2. Let y be p(10). Suppose -h = -y*h + 1. Let l be 0 - h - 10799998/2. Round l to the nearest 1000000. -5000000 Let c(v) = 4*v**2 + v + 12. Let i be c(-6). Suppose -7*n + 2*n = -i. Round n to the nearest 100. 0 Let f = 32.961 - -0.039. Let q = -33.00000003 + f. What is q rounded to seven decimal places? 0 Let u = -0.0231992 - -1.1830112. Let n = u + -1.16. Round n to five decimal places. -0.00019 Let j = -185.93 - 36.97. Round j to the nearest 10. -220 Let n = -0.0569 - 0.0771. Round n to one dp. -0.1 Suppose -d + 5*l = -23130, d + 4*l - 7127 = 15967. What is d rounded to the nearest one thousand? 23000 Let y(g) = -g - 1. Suppose 0 = -4*i - 0*i + 8. Let s be y(i). Let o be (-1)/s + 1492/(-12). What is o rounded to the nearest ten? -120 Let i = -984 - 2696. What is i rounded to the nearest 1000? -4000 Let z = 1487896 - 1487906.79923. Let g = z + 10.8. Round g to 4 decimal places. 0.0008 Let j = -631 - -631.00000912. Round j to seven dps. 0.0000091 Let b = -935.99999081 - -936. Round b to 6 dps. 0.000009 Suppose 24*g + 24090000 = 27*g. Round g to the nearest one hundred thousand. 8000000 Let w = 4.8 - 4.79932. Let x = 0 + w. What is x rounded to four decimal places? 0.0007 Let a = -73.4 + 73.39998793. Round a to six decimal places. -0.000012 Let s = 707.0000002453 - 707. What is s rounded to 7 decimal places? 0.0000002 Let v = 1890.02926 - 1890. Let w = v + -0.031. What is w rounded to 4 decimal places? -0.0017 Let t = -24.66278 + 39.60439. Let j = t - 14.0121. Let p = -0.93 + j. What is p rounded to four decimal places? -0.0005 Let o(c) = 11497*c + 3. Let s be o(1). Suppose 10*i - 5*i + s = 0. What is i rounded to the nearest 1000? -2000 Let w(h) = -1194*h**2 + 8655*h**2 + 5339*h**2. Let u be w(5). What is u rounded to the nearest one hundred thousand? 300000 Let k = 0.25 + -0.53. Let q = 0.2 + k. Let a = q - -0.24. Round a to 1 decimal place. 0.2 Let l = 87.00956 + -87. Round l to three dps. 0.01 Let g = -1211 + 1211.70176. Let h = g - 0.7. What is h rounded to four decimal places? 0.0018 Suppose -3*b + 11 = -4. Suppose -5*i = -2*l - 256, -185 = -5*i + i - b*l. Suppose 3*w = -2*w + i. What is w rounded to the nearest ten? 10 Let x = -0.0223 - 0.0403. What is x rounded to one decimal place? -0.1 Let q = -117 - 611. Round q to the nearest one hundred. -700 Let x be 29/4 - 9/(-12). Let l = x - 4. Suppose 5*t - 6*q + q + 90 = 0, -l*t - q = 72. What is t rounded to the nearest 10? -20 Let h = 1497190 - 1497160.99979. Let o = 29 - h. What is o rounded to 4 decimal places? -0.0002 Let c = -0.0064 - 32.9436. Round c to the nearest integer. -33 Let j = -0.161 + -9.446. Let z = 0.093 - j. What is z rounded to zero dps? 10 Let l = -0.179353 + -42.301047. Let u = 5.9981 + l. Let z = -36.5 - u. Round z to three decimal places. -0.018 Let n = 22003 - 22157.664. Let w = n + -0.336. Let u = -155.202 - w. Round u to two dps. -0.2 Let m = 0.45 - 0.859. Let i = m + 0.48. What is i rounded to two decimal places? 0.07 Suppose 2*q = -7 - 1. Let w be ((-2)/q)/(5/2905330). Suppose 4*g - 16 = 0, -4*r - 3*g = 774521 - w. Round r to the nearest ten thousand. -120000 Let v be 15220768/56 - 4*(-3)/21. What is v rounded to the nearest ten thousand? 270000 Let b = -8945467 + 8944370.9611. Let d = 1091.04 + b. Let t = d - -5. What is t rounded to 4 decimal places? 0.0011 Let a = -3795993.01678929 - -3795993. Let h = 0.0168 + a. What is h rounded to 6 decimal places? 0.000011 Let r = -1513.000773 - -1513. Round r to four decimal places. -0.0008 Let j = 0.15 + -0.21. Let t = j - 0.3. Round t to 1 decimal place. -0.4 Let i = -27720 + 1977720. What is i rounded to the nearest 1000000? 2000000 Let w = 1077.8881 + -1078. Round w to two dps. -0.11 Let x = -176.0566 - -176. What is x rounded to 2 dps? -0.06 Let w = 53880348512.3360257 + -53880318214. Let c = w - 30298.3. Let b = c - 0.036. Round b to 6 decimal
{ "pile_set_name": "DM Mathematics" }
e y = -1 + o. Solve g = -g + y for g. 4 Suppose -7 + 3 = -3*q - 4*u, 3 = -4*q + 3*u. Let c be ((-16)/(-12))/(4/18). Suppose c*g - 8 - 10 = 0. Solve -g*i = -q*i - 6 for i. 2 Let l be (-110)/(-5)*(2 + 6/(-4)). Suppose 10*s - 5*s = 0. Suppose 0 = u - 3 - s. Solve l = -4*f + u for f. -2 Let x be ((-4)/(-6))/1*333/74. Solve 0 = b - 0*b + x for b. -3 Let n(v) = v**3 + 6*v**2 - 7*v + 4. Let r(l) = l**3 + 6*l**2 + 4*l. Let x be r(-4). Let d be -3 - x/4*1. Let h be n(d). Solve -h*m - 25 = -9*m for m. 5 Let g(x) = 2*x**2 - 3*x + 8. Let q be g(0). Suppose -12 - q = -2*f. Solve f = -3*j - 2*j for j. -2 Suppose -9*z + 6*z + 15 = 0. Suppose -2*s - 8 + 6 = -y, -4*y + z*s + 11 = 0. Solve 0*k + 8 = -y*k for k. -2 Let u = -25 - -35. Let b(y) = 3*y - 21. Let j be b(u). Let a be ((-6)/8)/(j/(-36)). Solve -7 = 5*k + a for k. -2 Suppose -l = -j - 1, 4*j = 6*l - 4*l - 2. Solve j = -4*x - x + 10 for x. 2 Let o be 7/21*(6 + 0). Suppose -o*p = -6*p + 12. Solve -b = -p*b + 4 for b. 2 Let z = 18 - 12. Let r be 7/(-77)*-2 - (-4)/(-22). Solve n - z*n = r for n. 0 Let t(i) = -i + 6. Let n(s) = 2*s - 13. Let c(v) = 2*n(v) + 5*t(v). Let a be c(2). Solve -u + 3*u + a = 0 for u. -1 Let g be 26/169 + (-230)/(-26). Suppose -g = -m - 1. Solve 4*r = -0*r - m for r. -2 Let h = 382 - 382. Solve 11*p - 5 + 60 = h for p. -5 Let q = 204 - 110. Suppose -q - 146 = -8*t. Solve -4*h - t = -10 for h. -5 Let n(s) = -s - 2. Let w be n(-2). Suppose -2*h = 3*z - w*h - 25, 2*h + 63 = 5*z. Solve 4 = -5*g - z for g. -3 Suppose -o + m = 2, -5*m = -2*o - 8 - 2. Solve 7*y + o = 14 for y. 2 Let m be 10 - (-15)/(4 - 9). Suppose m*j = 5*j + 30. Solve n + j = 4*n for n. 5 Suppose 18 = -3*g + 18. Suppose -2*i = -g*i - 10. Solve -8 = i*a + 7 for a. -3 Suppose -5*z = -4*b - 3, 4*z + 2 = 5*b - 1. Suppose -g = z - 8. Solve f = g*f + 12 for f. -3 Suppose 0 = -y - 4*o + 2, -5*y - o = 2*o + 7. Let k(l) = -l**3 - 4*l**2 + 5*l - 1. Let h be k(-5). Let d be (5 + -3)/(h - y). Solve 5*x - d*x - 9 = 0 for x. 3 Let f = 35 + -102. Let k = -64 - f. Solve -k*u + 0*u = -12 for u. 4 Suppose 171*c - 177*c = -60. Solve 0 = -122*t + 120*t + c for t. 5 Suppose -i = 5*i. Let w be (i - 0)*(-2)/8. Suppose 2*f - 2 - 2 = 0. Solve f*x - x = w for x. 0 Suppose -j - 5 = -2*p + 24, 2 = -2*j. Solve -h - 15 = -p for h. -1 Let b = 41 - 65. Suppose 5*k + 8 = 4*r - 16, -9 = 2*k - r. Let u be (-6)/b - (-1)/k. Solve 0 = -3*g + 15 - u for g. 5 Let h(t) = 4*t - 6. Let d(g) = 5*g - 5. Let f(p) = -5*d(p) + 6*h(p). Let s be f(-8). Let w be (s - -4)*(2 - 1). Solve 2*z + w + 3 = 0 for z. -2 Let q = -59 - -61. Suppose -4*i + 12 = 4*g, 0 = -2*g - i + q*i. Solve -5*c + g = -19 for c. 4 Suppose -3*x + 135 = 12*x. Suppose 9 = -3*l + x. Solve c = -l*c for c. 0 Suppose -2*l = -3*l + 2. Suppose 56 - 52 = 2*o. Solve -o = x + l for x. -4 Let d be 3 + -8 + 3 + -4. Let a be (-7 + -5)/(d/4). Solve 3*x = -x + a for x. 2 Let f(m) be the second derivative of -m**3/3 - 7*m**2 + 2*m. Let g be f(-8). Suppose g*n + n = 21. Solve -2*v - n = -1 for v. -3 Let n(m) = m**3 - 4*m**2 + 2. Suppose 5*j - 3*j = 40. Suppose y - j = -2*z - 2*z, 0 = 2*y - 2*z. Let q be n(y). Solve -c + q*c - 5 = 0 for c. 5 Suppose -4 = -t + 2*h, h + 23 = -10*t + 14*t. Solve t*v - 9*v + 3 = 0 for v. 1 Suppose 0*q - 2*q = -5*x + 98, -4*x - 101 = 3*q. Let l = 41 + q. Solve 2*n = 2 + l for n. 2 Suppose -3*g + 21 = y - 4, -3*y + 27 = 3*g. Let r be -3 - (-5)/((-10)/g). Let v be r/(-4) - (-15)/(-20). Solve v = -0*b + b for b. 1 Let x be 1 + -3*(-16)/12. Suppose x*r = -3*p + 5, -r - 2*r + 19 = 5*p. Suppose -4 + 21 = 4*j + a, -3*j + 17 = p*a. Solve -u - j = 1 for u. -5 Let m be 12*(0 + (-9)/(-12)). Let q be 7 - m/((-9)/4). Suppose -q = 4*h - 35. Solve -u + h*u = 0 for u. 0 Let v be (-3)/(-12) + 45/12. Suppose -v*n - 42 = -n. Let k = 14 + n. Solve y + k*y = 1 for y. 1 Let g(y) = 3*y. Let b(t) = -4*t - 1. Let n(d) = 2*b(d) + 3*g(d). Let i be n(4). Suppose 7*x - 369 = 28*x - 537. Solve -i*c + 2 + x = 0 for c. 5 Suppose 0 = 3*m + 2*t - 3 - 8, -m - 1 = 3*t. Solve 2*f = -7 + m for f. -1 Suppose -360 + 45 = -45*a. Solve -a*h - 6 = -5*h for h. -3 Suppose 2*s - 111 - 49 = 0. Suppose 3*r = -2*r + s. Solve 5*h = -6 + r for h. 2 Let k = 14 + -9. Suppose 4*i = p - 2, -10 = -p - 0*p - 4*i. Suppose -k*u + p = -9. Solve 4 = -u*r + r for r. -2 Let m be 155/(-20)*(-12)/3. Let d = m + -31. Suppose d = 3*y + 4 - 22. Solve -y*o = -2*o for o. 0 Let o(z) = z**2 + 11*z - 15. Let f be o(-7). Let m = f + 43. Solve 3*k - k = m for k. 0 Let v = -61 - -96. Let x = 38 - v. Solve x*b - 4 = 2*b for b. 4 Let x(q) = -q**3 - 20*q**2 + 43*q - 22. Let c be x(-22). Solve c = d + 3*d + d for d. 0 Let x = -9 + 36. Let s = x - 46. Let m = -13 - s. Solve m = t + 2 for t. 4 Suppose -136 = -29*k + 676. Solve -k*x = -6*x + 66 for x. -3 Let j = 283 + -250. Solve -37*q = -j*q + 20 for q. -5 Suppose 3919 - 979 = 42*u. Solve -72*c + u*c = 10 for c. -5 Let y = 12 + -18. Let q = -24 + 34. Let i = y + q. Solve -12 - 4 = i*h for h. -4 Suppose -5*d - 7*k + 180 = -8*k, -2*k + 130 = 4*d. Solve 14*w - 35 - d = 0 for w. 5 Suppose -2*z - 4*p = 40, 5*z + 124 = -0*p - 2*p. Let t = z - -26. Suppose -2*g - 2*f - 2 = t, 5*g - 2*f - 40 = 2*f. Solve -n + 5 = g for n. 1 Suppose -2*f + 3*f - 5 = 0. Suppose -5*d = -f*h - 0 + 5, -5*h - d + 17 = 0. Let u be (-4)/(-4*1)*h. Solve -u*m + 8*m - 20 = 0 for m. 4 Suppose -r - 2*r + 27 = 0. Let v be 40/220 + 4/(-22). Suppose -5*a + r*a = v. Solve 2*g - g + 5 = a for g. -5 Suppose -7*o = -c - 6*o, 0 = 2*c - 3*o. Suppose -10*j + 0*j = c. Solve j*l + 3*l = 0 for l. 0 Let a be 48/6 + 16/(-4). Suppose 5*x = z + 67, 7*x + 2*z = a*x + 35. Solve -2*d = 3 - x for d. 5 Let a be (-8)/(-36) - (-183)/27. Suppose a*n - 2*n = 10. Let o be n/8 + (-1)/4. Solve -3*u + 6 = -o*u for u. 2 Suppose -32*t + 33*t = 8. Solve 3*f = -2 + t for f. 2 Let u be (-5457)/(-119) + 18/(-21). Solve 3*b + 45 - u = 0 for b. 0 Let h(x) = -x**3 - 10*x**2 - 18*x - 14. Let l be h(-8). Suppose l*m + 2 = 8. Let d be 34/10 + (-2)/5. Solve 0*i + d = m*i for i. 1 Suppose -12*f + 40 + 68 = 0. Solve f = 6*v - 3 for v. 2 Let t(z) = -z**2 + 9*z - 12. Let u be t(6). Suppose 3*g - 21 = -u. Solve 2 = -g*v + 7 for v. 1 Let q(j) = 68*j - 671. Let g be q(10). Solve g*c = 5*c for c. 0 Suppose 7*y + 12 = 3*y, 5*m - y - 23 = 0. Let g be 2/5 + m/(-10). Solve 2*o + 0*o = g for o. 0 Let w be 2*(-4)/12 + (-6)/(-9). Solve w = -2*f + 7*f + 10 for f. -2 Let o(a) = a**2 - 3*a + 1. Let k be o(2). Let q = k - -3. Solve q*z - 8 = 4*z for z. -4 Let c be -1 + 7/5 - (-760)/100. Solve -5*i - c = -i for i. -2 Let g = 2984 - 2927. Solve 0 = -6*x + 51 - g for x. -1 Let c = 2044 + -2043. Solve x = 3 - c for x. 2 Let i be 4 + -1 - (-8)/(-2). Let c be 188/i*(-2)/2. Let f be c/36 + (-2)/9. Solve f*o - 12 = 2*o for o. 4 Let b(v) = 7*v - 2. Let i be b(-4). Let x = -26 - i. Let q be (-7)/(-1) - x - 3. Solve q = -4*u - 10 - 6 for u. -4 Suppose -10*u - 1435 + 1485 = 0. Solve 11 = -3*b + u for b. -2 Suppose -l - 3*l + 5*s = -84, 5*l - 105 = 3*s. Solve -l*d + 4 = -22*d for d. -4 Suppose 5*r + 41 = 4*o, 0*o - 2*r + 34 = 2*o. Suppose 2*m + o = 3*j, 4*j - 5*m = 15 + 6. Suppose b - j = -b. Solve -b = 4*t - 5*t for t. 2 Let p(q) = 18*q + 275. Let j be p(-15). Solve 0 = -j*h - 25 + 10 for h. -3 Suppose -c = 4*n + 4, 5*n + 6 = c - 8. Let q be 2/17 - (-2 + 60/(-68)). Solve o + c = -q*o for o. -1 Let k(h) = -2*h**2 + 4*h - 3. Let w be (-2)/((-2 + -1)/3). Let y be k(w). Let s be (2 + y + 1)/(-1). Solve s = 4*q - 0*q + 16 for q. -4 Let h = 28 - 15. Suppose h = 2*s + 5*t, -s - 7*t + 2*t = -9. Solve 2*w + s = 6*w for w. 1 Let h be ((-4)/(-6))/((-4)/(-12)). Suppose 0*d - h*d = -3*l - 22, 4*d + 5*l = 0. Solve -2*k + d*k = -3 for k. -1 Let u = -1095 - -1105. Solve -6*y + u*y = 0 for y. 0 Suppose -2*i - 2*v + 23 = 11, -12 = -3*i - 5*v. Let n be -3 - (-1 + 0) - -2. Solve n = -7*c + 4*c + i for c. 3 Suppose 0*j - 3*j = 0. Suppose 2*p + p - 12 = j. Solve o = p*o for o. 0 Suppose 2*s = 5*r + 4, s + 3*s - 5*r - 8 = 0. Suppose 2*c + 5*w - 4 = -15, 2*w + s = -2*c. Suppose t + 2 = c*t. Solve 0 = -u - t*u for u. 0 Let d be 30/45 - 4/6. Let z be (-1)/((3/(-7))/3). Suppose 4*v = z*v - 6. Solve -2*p - v - 4 = d for p. -3 Let i(x) = 3*x - 7. Let c be i(3). Suppose -2*l - 10 = 0, -r - l = c*l + 10. Solve -p = 4*p + r for p. -1 Suppose -4*p = -p. Supp
{ "pile_set_name": "DM Mathematics" }
*p + f, i + 2 = -4*p. Is i a composite number? True Suppose 60 = -p + 6*p. Suppose -5*l - p = -177. Is l a composite number? True Let g = 24 - 13. Suppose -3*j - 4*o - 16 = o, o + g = 2*j. Suppose j*y = -5*f + 120, f = 4*y + 2*f - 143. Is y a composite number? True Let q(o) = 8*o**3 - 4*o**2 + 6*o - 3. Suppose 0 = -2*z + 3*g - 2*g + 9, 0 = -z - 4*g. Is q(z) a prime number? False Let k = 6 + -8. Is k - (-6)/3 - -58 a prime number? False Let k be (-2)/9 - 33/(-27). Suppose 2*d = 3 + k. Suppose d*l = 4 + 126. Is l a composite number? True Let x = 90 + 4. Is x composite? True Let k = -419 + 798. Is k prime? True Let n(l) = l**2 - 5*l + 3. Let j(m) = -m**3 - 4*m**2 - 3*m + 4. Let k be j(-3). Let z be n(k). Is ((-39)/6 - z)*-2 a composite number? False Let p = 16 - 10. Suppose p*t - 7*t + 93 = 0. Is t prime? False Let o(n) be the third derivative of 9*n**4/8 - 13*n**3/6 - 4*n**2. Is o(6) prime? True Let z(y) = 3*y + 85 - 2*y - 2*y + y**2. Let w be z(0). Let r = w + -48. Is r a prime number? True Let j be 6/(-15) + 189/35. Suppose -2*m - 344 = -p, -2 = 2*m - 4. Suppose -249 - p = -j*i. Is i composite? True Suppose 4*p + 5*w = 4*w + 12394, 3*w + 6204 = 2*p. Is p a prime number? False Let l(c) be the second derivative of -63*c**5/10 - c**3/3 - c**2/2 - 2*c. Let s be 3/(-3) - 0/4. Is l(s) a prime number? True Suppose 0*n + 6 = 2*n. Suppose -h + 1020 = n*h. Suppose 2*d - h = -3*d. Is d composite? True Suppose -3*s + 877 = -2*v, -s + 5*v + 1174 = 3*s. Is s a composite number? True Suppose -o + 6*o + 25 = 0. Let x(q) = 2*q**2 - 2*q + 6. Let n be x(-6). Is (-2)/(-1) + o + n a prime number? False Let m be (-1)/(0 + 3/(-6)). Suppose 0 = m*t - 282 + 56. Is t a composite number? False Let x(a) = -a**3 - 3*a**2 - 5*a - 7. Let l be ((-6)/(-7))/((-1)/7). Is x(l) a composite number? False Let n(o) = -38*o + 1. Is n(-2) prime? False Suppose 0 = -k - 4*k + 5. Let p(l) = 11*l**2 + 0*l**2 - 3*l + l + 27*l**2 + 1. Is p(k) prime? True Suppose -3*c + 5*l + 377 = 0, 3*c + 0*c + 2*l - 391 = 0. Suppose 2*j + c = 383. Is j composite? False Is (1908/(-8))/(-9)*14 a composite number? True Let p = -9 - -30. Let x = -2 + p. Is x a prime number? True Suppose 2*k - 280 = -o, 2*o = k + 6*o - 133. Is k prime? False Let j(t) = -141*t - 2. Let i be j(-12). Let q = i + -939. Is q a composite number? False Let o(b) = -3*b**3 - 2*b**2 - 2*b. Let t be o(-2). Suppose -5*f + 0*f - 5*x = -t, 0 = 3*x + 3. Suppose -15 + 50 = f*a. Is a a prime number? True Suppose 0 = -2*i - 0*g - 2*g, 2*g + 12 = 2*i. Let f(d) = d - 2. Let c be f(4). Suppose 174 = 3*v + 3*b, -i*v - 49 = -4*v + c*b. Is v composite? True Suppose 3*i = 7*i + 12. Let z be ((-18)/8)/(i/12). Is (-231)/(-9) + (-6)/z a prime number? False Let d = 77 + 1022. Is d a composite number? True Let u(b) = -b**3 + 30. Let z be u(0). Suppose -7 = -3*x + 2*x. Let g = z - x. Is g prime? True Let m be (-2 - 6) + 2/2. Is -67*(m + 3 + 3) prime? True Is 6/((-6)/(-3109)) - 0 a composite number? False Let z = 47 + 70. Is z/6*1*2 a prime number? False Suppose -1958 + 673 = -5*g. Is g composite? False Let i(m) = m**2 - 5*m + 22. Is i(12) a prime number? False Let v = -11 - -15. Suppose -23 = -s - v*p, -s - 3*s = 4*p - 92. Suppose 2*a + 9 = s. Is a a composite number? False Let g be (-2)/(-5) - (-1864)/40. Let m = g + 30. Is m a composite number? True Let t(r) = -144*r - 21. Let o be t(-6). Suppose 5*y - o = 172. Is y a prime number? False Let x(o) = -o**3 + 9*o**2 + 3*o - 12. Let n be x(9). Suppose 2*t - 3*t = -n. Is t composite? True Let q = 1 - -3. Suppose -4*m + 66 = 2*g, 4*g - 158 = m + q*m. Is g a composite number? False Is (-372)/10*(-10)/4 prime? False Let l be (-38)/(-14) + (-4)/(-14). Let s be ((-4)/(-12))/((-3)/(-9)). Let y = l - s. Is y prime? True Let x be (-95)/(-1*(2 - 1)). Suppose 0 = 5*m - 5*j, 0 = 2*m + 2*m + 2*j - 12. Is m*(x/(-2))/(-5) a composite number? False Is -1 + (-1)/(3/(-1068)) a prime number? False Let m(i) = -i**2 - 3*i - 4. Let c(k) = k + 9. Let a be c(-12). Let w be m(a). Let h(x) = -x**3 - 2*x**2 - 6*x - 3. Is h(w) prime? True Is 381/(-2)*6/(-9) a composite number? False Let y(j) = 6*j - 3. Let o be (-1)/(-1*1/3). Is y(o) composite? True Let l(k) = -5 + 2*k + 4 + 4*k**2 - 8*k. Is l(-4) prime? False Let h(d) = -d**3 + 7*d**2 - 11*d + 6. Let j be h(7). Is (-1)/(143/j - -2) a composite number? False Suppose 0 = -20*n + 17*n + 4443. Is n prime? True Let j(m) = m**3 - 8*m**2 + 5*m + 4. Let c be j(4). Let x = 34 - c. Suppose k - x = -5*n + 28, 274 = 2*k - 4*n. Is k prime? True Let m = 1620 + -1109. Is m prime? False Suppose 5*d - 1140 - 2455 = 0. Is d a prime number? True Let v(y) = -1 - 5*y + y**3 + y + 4 - 7*y**2. Let s be ((-24)/9)/(2/(-6)). Is v(s) a prime number? False Let u be 2 + -2 - (1 - 207). Let k = u + -45. Is k prime? False Is 2/(-3) + (-5537)/(-3) + -6 a composite number? True Let f be (1/2)/(2/(-220)). Let x = 0 - f. Is x composite? True Let r be 10 + -7 + (-18)/(-2). Let n = r - 10. Suppose b + 2*s - 3 - n = 0, -5*b = -2*s - 61. Is b a prime number? True Suppose 94 + 691 = u. Suppose -n - u = -6*n. Is n composite? False Let i(l) = -3*l + 3. Let x(m) = -4*m + 4. Let t(z) = -5*i(z) + 4*x(z). Let u be t(-6). Is (-318)/(-14) - (-2)/u composite? False Is 19142/5 - (-6 + 135/25) a composite number? True Suppose -4*v + 3 = -4*h - 1, -4*h - 36 = 4*v. Let z = h + 7. Is z/(-3)*57/(-2) a prime number? True Let a(w) = -w**3 - 5*w**2 + 12*w - 2. Let g be a(-11). Suppose g = 4*u - 4*h, -220 = -5*u - 2*h + 485. Is u prime? False Suppose 4*o - 2463 = o. Is o a prime number? True Let y(v) = 3*v + 0 - 4*v + 2. Let s be y(-6). Let i = 111 - s. Is i a composite number? False Let l(f) = 6*f**3 - f**2 + 2*f - 2. Let j be l(1). Suppose 16 = j*h - 19. Is h prime? True Let n(h) = h**2 - h - 8. Let k be n(8). Let q = k + -15. Suppose q = -c + 2*c. Is c a prime number? False Suppose a - 1 = 4*f, -1 = -3*a + 3*f + 11. Suppose a*p - 456 + 131 = 0. Is p prime? False Let b(k) = -k**3 + 3*k**2 + 3*k + 4. Let v be b(4). Suppose -30 - 4 = -2*s - 4*m, 4*s - 4*m - 20 = v. Is s a composite number? True Suppose -2*v = -9*v + 2779. Is v a composite number? False Let r(f) = 47*f - 12. Is r(5) prime? True Let v = -1083 + 1701. Suppose 2*s + v = 5*s. Is s prime? False Suppose 0 = -3*d + 7*d - 424. Is d/8 - 1/4 a composite number? False Let a = -9 - -16. Let p be a/2 + (-2)/(-4). Suppose -p*d + 0*d = -348. Is d a composite number? True Suppose m - 2*k - 61 = 2, 3*k + 315 = 5*m. Suppose -3*y - 2*z = -43, -8*y + 3*y + z = -m. Suppose 5*r - y = 92. Is r composite? True Let i = 100 - -19. Is i a prime number? False Let i(b) = -b**2 + 6*b + 4. Let p be i(4). Let t be (p/(-9))/((-2)/3). Suppose z = -t*z + 111. Is z composite? False Let m(x) = 14*x - 39. Is m(16) a composite number? True Suppose -3*c + 5*u = -109 - 58, -5*u - 39 = -c. Let z = c - 41. Is z a composite number? False Is (-1)/(-2)*6/15*655 prime? True Let m = 9 - 6. Let w be 50/15 - 1/m. Is -1*w/(3/(-37)) a prime number? True Let t be 1 + (112 - (-2 - -1)). Is (0 + t/15)*5 a prime number? False Suppose -11*y + 1533 = -1184. Is y prime? False Let o be ((-80)/(-25))/(4/30). Suppose -i + 31 = -o. Is i prime? False Let z(d) = d - 1. Let q be z(-2). Is (3/5)/(q/(-15)) a prime number? True Is ((-4146)/(-18))/(-1)*(-1 + -20) a prime number? False Let r(f) = 2*f**2 - 2*f + 7. Is r(-7) prime? False Let s(j) = j**3 - 9*j**2 + 17*j - 16. Is s(11) a prime number? False Suppose 4*p = -a + 1176, 2*a - 3*a = p - 297. Is p a prime number? True Let c(l) be the third derivative of -3*l**4/8 + l**3/6 + 6*l**2. Is c(-13) composite? True Suppose 0 = j + 6*h - h - 22, 3*j - 26 = -5*h. Suppose -j*l = -3*s - 174, 3*l - 261 = -0*l - 3*s. Is l a composite number? True Is -1*(-2)/(-6)*-201 a prime number? True Let x = -6 - -8. Suppose k + 0*k = -x. Is (-67)/(-6)*k*-3 a composite number? False Let o(m) = -m**3 - 2*m**2 + 12. Is o(-7) a prime number? True Suppose 2*v = -4*n + 20, -4*n + 4*v = -v - 20. Suppose -3 - 1 = -2*y - 4*d, -5*d + 35 = n*y. Let j = 22 - y. Is j prime? False Let r(l) be the second derivative of 13*l**3/3 + 7*l**2/2 - 6*l. Is r(4) prime? False Suppose -m + 13056 = 4*p, -4*m = -8 - 8. Is p composite? True Let v(a) = 6*a**3 + 4*a**2 + a - 10. Is v(3) composite? False Let r be (-565 - 0)*(-30)/50. Suppose -
{ "pile_set_name": "DM Mathematics" }
6*w**2 Let r(p) be the second derivative of p**4/6 + p**3/3 + p**2/2 + 2625*p + 2. Let j(q) = 1. Calculate -2*j(b) - r(b). -2*b**2 - 2*b - 3 Let g(a) = 14*a - 5. Let b = 89 + 34. Let u(n) = n - 68 + b - 56. What is -g(t) + 5*u(t)? -9*t Let o = 7 - 15. Let x be ((-15)/20)/((-1)/8*2). Let n(b) = 5*b - 1. Let t(k) = -2*k - 6*k + 22*k - 2 + 0*k. Give o*n(u) + x*t(u). 2*u + 2 Let q(g) = 9*g**3 + 12*g**2 + 5*g - 324. Let m(h) = -2*h**3 - 3*h**2 - h + 2. Give -5*m(a) - q(a). a**3 + 3*a**2 + 314 Let h(d) = 74*d**2 - 287*d - 35. Let b(a) = -23*a**2 + 96*a + 11. Calculate 19*b(q) + 6*h(q). 7*q**2 + 102*q - 1 Let k(m) = 77*m - 4. Let r(c) = 64*c - 6. Let j(q) = -2*k(q) + 3*r(q). Let b(h) = -15*h + 4. Determine -12*b(u) - 5*j(u). -10*u + 2 Let n(h) = -6*h - 6. Let i(r) be the third derivative of -7*r**4/24 - 5*r**3/6 - 4*r**2 + r + 496. Calculate -4*i(u) + 5*n(u). -2*u - 10 Let f = 4 + -3. Let z(l) be the second derivative of l**4/12 + l**2/2 + 8*l - 39. Let k(t) = -7*t**2 + 3*t - 4. What is f*k(c) + 5*z(c)? -2*c**2 + 3*c + 1 Let u(l) be the first derivative of l**4/4 + 4*l - 3991. Let i(s) = 4*s**3 - s**2 + 21. Let g = -4 - -6. What is g*i(c) - 11*u(c)? -3*c**3 - 2*c**2 - 2 Let a(t) = 2*t**3 - 357*t**2 - 2. Let f(y) = -4*y**3 + 14*y**2 + y + 1. Give -a(v) - 2*f(v). 6*v**3 + 329*v**2 - 2*v Let n(p) = -p - 2*p + 2*p + 565*p**2 - 296*p**2 + 1 - 270*p**2. Let c(k) = -4*k**3 - 3*k**2 - 3*k - 8. What is -c(w) + 3*n(w)? 4*w**3 + 11 Let z(i) = -6*i**3 + 9*i**2 + i. Let u(b) = -24*b**3 + 37*b**2 + 5*b + 3. What is -2*u(w) + 9*z(w)? -6*w**3 + 7*w**2 - w - 6 Let y(k) = -2*k**3 + 135*k**2 + 5*k + 21. Let z(s) = 5*s**3 - 406*s**2 - 14*s - 58. Calculate 11*y(v) + 4*z(v). -2*v**3 - 139*v**2 - v - 1 Let k(g) = -240*g**2 - 2*g - 13. Let z(f) = -120*f**2 - f - 7. Calculate 5*k(d) - 9*z(d). -120*d**2 - d - 2 Let r(b) = -1553*b**2 - 4*b + 10. Let f(v) = -35720*v**2 - 94*v + 235. Calculate 4*f(x) - 94*r(x). 3102*x**2 Let u(l) = -31*l**2 + 5. Let a(c) = -1147*c**2 + 186. Suppose 5*o + 4*k - 930 = 0, -372 = -2*o + 131*k - 136*k. Determine o*u(f) - 5*a(f). -31*f**2 Let p(m) = m**2 + 5*m + 5. Suppose 0 = -2*v - v - 4*z - 7, -2*z = -4. Let d(g) = -181*g**2 + 4*g + 14*g**2 + 167*g**2 + g**2 + 4. What is v*d(h) + 4*p(h)? -h**2 Suppose 0 = -32*u + 35*u - 33. Let q(v) be the first derivative of 2*v**2 - 4*v - 1343. Let y(j) = j**2 + 11*j - 11. Determine u*q(s) - 4*y(s). -4*s**2 Let q(k) = -k**3 - k**2 - k. Let t(a) = 6*a**3 + 9*a**2 + 4*a. Let b be 5 + -17 + 5 + 11. Determine b*q(j) + t(j). 2*j**3 + 5*j**2 Let z(p) = 17*p**2 + 85*p + 5. Let h be z(-5). Let f(g) be the third derivative of 17*g**6/120 - 5*g**2. Let o(c) = 162*c**3. Give h*o(i) - 48*f(i). -6*i**3 Let y(l) = 7*l - 1. Let n(g) be the second derivative of g**3/2 + 26*g - 10. Let w be ((-1)/(-2))/(1/(-4)). Let p = w + -3. What is p*n(v) + 2*y(v)? -v - 2 Suppose 7 + 1 = w. Let s(q) = 4*q + 2. Let a(j) = j + 13. Let r(n) = 36*n + 45*n - 11 - 83*n. Let u(b) = 4*a(b) + 5*r(b). What is w*s(k) + 5*u(k)? 2*k + 1 Let y(t) = -78*t - 4. Let c(a) = -5*a + 1. What is c(f) - y(f)? 73*f + 5 Let i be (-21*(-16)/(-48))/7. Let t(y) = -y**3 - y**2 + 1. Let q(m) = 2*m**3 + 6*m**2 + m - 4. Determine i*q(c) - 6*t(c). 4*c**3 - c - 2 Let v(s) = -5381*s**3 + 12*s**2 - 6. Let z(r) = -82221678*r**3 + 183362*r**2 - 91681. What is 91681*v(q) - 6*z(q)? -5393*q**3 Let a(t) = 34 + 30 - 131 + 37 + 31. Let q(h) = 25*h**2 - 3. Give -3*a(s) - q(s). -25*s**2 Let p(f) = -11*f**3 + 7*f**2 + 23*f + 24. Let v(d) = 12*d**3 - 6*d**2 - 21*d - 20. Give 5*p(x) + 6*v(x). 17*x**3 - x**2 - 11*x Let r(p) = -2*p**2 - 84*p + 570. Let o be r(-48). Let f(k) = 24*k + 7. Let a(z) = 25*z + 8. Give o*f(c) + 5*a(c). -19*c - 2 Let c(t) = -5*t**3 + 4*t**2 + 3*t - 16. Let h(w) = -w**3 + w**2 + 2*w - 5. Determine c(s) - 2*h(s). -3*s**3 + 2*s**2 - s - 6 Let w(m) = 106*m**2. Let b(d) = -91*d**2 - 10*d - 10. Let f(l) = -5777*l**2 - 636*l - 636. Let i(t) = -318*b(t) + 5*f(t). Give 5*i(o) - 2*w(o). 53*o**2 Let a(v) = -80*v - 4340. Let n(c) = 11*c + 620. Calculate -2*a(p) - 15*n(p). -5*p - 620 Let s(h) = -6*h**3 - 12*h**2. Let n = -1198 - -1322. Let j = 184 + -121. Let c(q) = -q**3 + n - q**2 - 61 - j. What is -12*c(b) + s(b)? 6*b**3 Let q(y) = y**3 - 2*y**2 + 2. Let j(d) = -d**3 - 2*d**2 - d. Let v(l) = 12*l**3 + 17*l**2 + 10*l + 3. Let t(r) = 10*j(r) + v(r). Give 10*q(s) - 6*t(s). -2*s**3 - 2*s**2 + 2 Let l(w) = -11*w**2 + 5*w - 7. Let p = -11 + 11. Suppose -2*u - 6 + 20 = p. Suppose -25 = -2*x + u*x. Let t(h) = -5*h**2 + 2*h - 3. What is x*t(s) + 2*l(s)? 3*s**2 + 1 Let k(g) = -20*g + 39. Let u(i) = -11*i + 27. Calculate -2*k(o) + 5*u(o). -15*o + 57 Let l(x) be the first derivative of x**4/2 - x**3 - 3*x**2 - 1392. Let n(d) = -2*d**3 + 2*d**2 + 6*d. Calculate 2*l(m) + 3*n(m). -2*m**3 + 6*m Let o(u) = 23*u - 14. Let s(g) = 2*g**2 - 4*g + 0 + 4*g**2 + 1 - 4*g**2. Let m be s(4). Let k(n) = 8*n - 5. What is m*k(y) - 6*o(y)? -2*y - 1 Let f(m) = -215*m**3 + 18*m**2 + 8*m + 7. Let q(b) = 2*b**3 - 3*b**2 - 1. Determine f(r) + 6*q(r). -203*r**3 + 8*r + 1 Let b(m) = m. Let t(k) be the second derivative of -2*k**3/3 - k. Let r be -1 - -14 - (2 - (6 + 1)). Let j = r + -10. What is j*b(h) + t(h)? 4*h Let y(b) = 5*b**2 + 3*b - 1. Let u(v) = -14*v**2 - 10*v + 4. Suppose -16*g + 17*g - 3*w = -13, 5*w = g + 23. Calculate g*u(n) + 7*y(n). 7*n**2 + n + 1 Let v(n) = -25*n - 1. Let c(f) be the second derivative of -25*f**3/3 - f**2 - 66*f + 7. Give 2*c(p) - 5*v(p). 25*p + 1 Let j(a) = -53*a + 5. Let u = -9457 + 9452. Let m(c) = 54*c - 6. Calculate u*m(f) - 6*j(f). 48*f Let o(z) = -2*z - 4. Let q(k) be the second derivative of k**2/2 + 865*k. Calculate -o(y) - 2*q(y). 2*y + 2 Let o(v) = -45*v - 34. Let i(s) = -3*s - 3. What is 4*i(x) + o(x)? -57*x - 46 Let y(r) = 10*r**3 + 117*r**2 - 8*r + 14. Let f(b) = b**3 - 2*b**2 - b + 1. Determine 11*f(h) - y(h). h**3 - 139*h**2 - 3*h - 3 Let z(w) = 3*w**3 + 11*w**2 - 5*w - 10. Let l(y) = -y**3 - 5*y**2 + 3*y + 4. Determine -5*l(h) - 2*z(h). -h**3 + 3*h**2 - 5*h Let b(x) = -41*x**2 - 3*x + 5. Let c(n) = -3*n**2 + 1. Let k(d) = -3*b(d) + 24*c(d). Let a(i) = -25*i**2 - 5*i - 5. Give -9*a(p) - 5*k(p). -30*p**2 Let o(b) = 5690*b**2 - 40*b + 7. Let p(y) = -2845*y**2 + 16*y - 3. What is 2*o(t) + 5*p(t)? -2845*t**2 - 1 Let m(f) = 2. Let l(s) = -s + 1. Let p(q) = 5*q + 22. Let t be p(-12). Let k = 49 + t. Suppose -o - 3*x - 6 + k = 0, 2*o + 3*x = 4. Give o*m(b) + l(b). -b - 1 Suppose -w = n, 0*w - 6 = 5*n - w. Let q(k) = 3*k**3 + 3*k + 6. Let x(b) = b**3 + 1. Let y(d) = 2*d**3 - 2*d**2 + 4*d - 10. Let t be y(2). Give n*q(z) + t*x(z). 3*z**3 - 3*z Let g(y) = -y**2 + 5*y - 1. Let w(o) = 698*o**2 + 25*o - 5. Determine 5*g(i) - w(i). -703*i**2 Let u(r) = -24*r**2 - 9*r + 4. Let h(l) = -12*l**2 - 4*l + 2. Suppose -256 + 334 = 26*f. Give f*u(k) - 7*h(k). 12*k**2 + k - 2 Let r(s) = -110*s + 727. Let l(t) = -238*t + 1453. Calculate -6*l(d) + 13*r(d). -2*d + 733 Let q(d) = d**2 - d - 3. Let g(j) = j**2 - j. Let v(s) = 1 - 228*s + 231*s + 6. Let o be v(0). Suppose a = -o*a - 8. What is a*q(h) + 3*g(h)? 2*h**2 - 2*h + 3 Let v(b) = 631*b + 21. Let c(o) = -3*o - 4. Calculate -3*c(l) - v(l). -622*l - 9 Let l = 5635 - -4469. Let w(t) = 10098*t + 9 + 1 - l*t. Let x(c) = c. Let z(b) = -2*b - 3. Let m(d) = -4*x(d) - z(d). Calculate -7*m(o) + 2*w(o). 2*o - 1 Let g(q) be the first derivative of -3*q**4 - 2*q**3 + 3*q**2/2 - 6*q + 3551. Let a(s) = 13*s**3 + 7*s**2 - 3*s + 7. What is -6*a(d) - 7*g(d)? 6*d**3 - 3*d Let j(d) = 26*d**2 + 20*d + 5. Let c(a) = 2*a + 2. What is -3*c(z) + j(z)? 26*z**2 + 14*z - 1 Let v(y) = 13*y**3 + 8*y**2 + 3. Let p(l) = -12*l**3 - 6*l**2 - 2. Calculate -4*p(o) - 3*v(o). 9*o**3 - 1 Let q(k) = 9*k + 4. Let t(n) = -136*n - 53. Let p(w) = 2155*w + 840. Let u(r) = -6*p(r) - 95*t(r). Give 3*q(m) + 2*u(m). 7*m + 2 Let k(w) = w - 9. Let o(s) = -144*s + 99. Calculate -7*k(z) - o(z). 137*z - 36 Let r(s) = 1. Suppose 2821 = -5*t + 2761. Let v(x) = 48*x - 12. Determine t*r(k) - v(k). -48*k Let q(d) = -d**2. Suppose -13*a + 8*a - t = 5, 0 = -a - 3*t - 1. Let u(j) = 6*j**2 - 2*j + 3. Give a*u(k) - 4*q(k). -2*k**2 + 2*k - 3 Let r(b) = 34*b - 2. Let s(m) = -170*m + 11. Determine -12*r(v) - 3*s(v). 102*v - 9 Suppose 0 = 5*k - 15, 2*q - 642*k + 639*k + 7 = 0. Let b(t) = 1. Let g(n)
{ "pile_set_name": "DM Mathematics" }
3. Let z(d) = 11*k(d) + 4*l(d). Calculate m(y) - 5*z(y). -2*y**2 - y + 1 Let b(q) = 76*q**3 - 28*q**2 + 4*q + 5. Let l(o) = 153*o**3 - 49*o**2 + 7*o + 10. Give -7*b(j) + 4*l(j). 80*j**3 + 5 Let z(a) be the first derivative of -a**4/4 - a**2/2 - 6109. Let m(p) be the third derivative of -p**6/20 - 5*p**4/24 + 2*p**2. What is m(y) - 5*z(y)? -y**3 Let b(d) = -3633947*d - 10003. Let j(r) = 1453*r + 4. Calculate 4*b(p) + 10003*j(p). -1429*p Let f(c) = 7*c**2 - 517*c + 3. Let m(l) = 12*l**2 - 1032*l + 5. Calculate -5*f(p) + 3*m(p). p**2 - 511*p Let q(r) = -9*r + 11. Let n(m) = 4*m - 5. Let g = 4273 - 4270. Give g*q(s) + 7*n(s). s - 2 Let a(j) = -6*j**2 + 4*j - 4. Suppose 0 = 4*y + f + 707, 4*f - 910 = 4*y + y. Let l = 181 + y. Let p(t) = 6*t**2 - 3*t + 3. Determine l*a(z) + 4*p(z). 6*z**2 Let d(v) = 21*v**2 + 17*v - 13. Let p(k) = 14*k**2 - k + 1. Let w(a) = -66*a**2 - 4*a + 2. Let t(x) = 4*p(x) + w(x). What is -6*d(g) - 13*t(g)? 4*g**2 + 2*g Let r(g) = -29*g**3 + 6*g + 3. Let v(z) = -22*z**3 + 5*z + 3. Let d(k) = 3*r(k) - 4*v(k). Let h(i) = i**3 + i + 1. Give -d(y) - 3*h(y). -4*y**3 - y Let b(x) = x. Suppose 19 = 2*r - 3. Suppose -41 + r = -15*p. Let n(m) = 4*m. Determine p*b(q) + n(q). 6*q Let h(o) = 21*o - 241. Let q(p) = -7*p. Determine -h(k) - 4*q(k). 7*k + 241 Let g(h) = 3*h**3 - 2*h**2 + 4*h - 6. Let r(w) = 5*w**3 + w**2 + 4*w - 8. Calculate -4*g(v) + 3*r(v). 3*v**3 + 11*v**2 - 4*v Let q(w) = -96*w + 1153. Let j be q(12). Let n(s) = 1. Let g(b) = -b + 4. Give j*g(m) - 6*n(m). -m - 2 Let q be (-10)/3*1200/(-125). Suppose 0 = -q*h - 57 + 281. Let n(l) = -7*l + 2. Let w(u) = -7*u - 6*u + 6 - 2. Give h*n(z) - 4*w(z). 3*z - 2 Let d = -1919 - -1952. Let o(k) = 26*k. Let s(m) = -417*m. Give d*o(t) + 2*s(t). 24*t Let w(v) = 62*v**2 - 87*v + 1. Let j(n) = 34*n**2 - 44*n + 1. Calculate -11*j(i) + 6*w(i). -2*i**2 - 38*i - 5 Suppose -15*g - 3*g = 30*g - 672. Let p(m) = 18*m + 3. Let u(s) = -35*s - 7. Let b(j) = -7*p(j) - 3*u(j). Let v(y) = 4*y. Calculate g*v(q) + 3*b(q). -7*q Let k(b) = 34*b - 3. Let y(o) be the third derivative of o**4/24 + o**3/6 + 55*o**2. What is k(j) + 5*y(j)? 39*j + 2 Let u(q) = 7*q - 5. Let f(r) = -r + 1. Suppose 0*o = -5*o - 70. Let k(a) = 3*a. Let g(l) = o*f(l) + 2*k(l). Let p = -188 + 185. Determine p*g(n) + 8*u(n). -4*n + 2 Let l(f) be the second derivative of 3*f**5/5 + f**4/4 + f**3/6 + 3*f**2/2 + 6*f + 3. Let r(m) = -36*m**3 - 10*m**2 - 4*m - 10. Give 10*l(g) + 3*r(g). 12*g**3 - 2*g Let z(v) = -37*v + 69. Let b(u) = 31*u - 70. Determine -5*b(a) - 4*z(a). -7*a + 74 Let m(q) = q**3 - 5*q**2 - 11*q - 9. Suppose 0 = -1451*w + 1473*w + 110. Let d(b) = -b**3 + 2*b**2 + 5*b + 4. Determine w*d(t) - 2*m(t). 3*t**3 - 3*t - 2 Let j(b) = 84*b - 2. Let h(n) = -27*n + 2. Let u(v) = 3*h(v) + j(v). Let f(r) = r - 1. What is -4*f(q) + u(q)? -q + 8 Suppose 3*l + 3 = 3*g, -6*l = -5*l - 2*g. Let n(j) = -9*j**2 + 2 + j**2 + 13*j**2 - 4*j + 6*j. Let f(y) = 21*y**2 + 9*y + 8. Determine l*f(h) + 9*n(h). 3*h**2 + 2 Let p(c) = 16*c**2 + 5*c + 5. Let s(i) be the second derivative of -11*i**4/4 - 3*i**3/2 - 9*i**2/2 - 2985*i. Give 5*p(x) + 3*s(x). -19*x**2 - 2*x - 2 Let c(l) = 4*l**2 - 324*l. Let r(a) = 6*a**2 - 487*a + 1. Give 7*c(h) - 5*r(h). -2*h**2 + 167*h - 5 Let u(r) = 21*r**2 + 4*r - 3. Let a(s) = 95*s**2 + 18*s - 13. Let k(b) = -2*a(b) + 9*u(b). Let i(j) = 3*j - 6. What is -i(g) + 2*k(g)? -2*g**2 - 3*g + 4 Let i(o) = -2*o + 3. Suppose -3*z = 5*k - 2, -2*k = 1 - 3. Let v(q) be the second derivative of -13*q - 1/6*q**3 + 0*q**2 + 0. Calculate z*i(f) + 3*v(f). -f - 3 Suppose -5*s + 35 = -12*s. Let u(o) = -15*o + 9. Let l(w) = -8*w + 5. Let v be ((-25)/(-15))/((-40)/(-72)). Give s*l(n) + v*u(n). -5*n + 2 Let g(v) = -11*v - 203. Let t(a) = 8*a + 131. What is 10*g(y) + 14*t(y)? 2*y - 196 Let p(s) = -1 + 0 + 2. Let l(z) = 10294 - 20594 - z + 10296. Give 3*l(v) + 12*p(v). -3*v Let s(k) = -17*k**3 + 4*k**2 - 4*k + 24. Let f(y) = 33*y**3 - 7*y**2 + 7*y - 45. Give 4*f(q) + 7*s(q). 13*q**3 - 12 Let a(m) be the third derivative of 0*m + 1/20*m**6 + 5/3*m**3 + 0 + 0*m**4 + 0*m**5 + 2*m**2. Let o = 8 + -24. Let i(k) = k**3 + 2. Give o*i(y) + 3*a(y). 2*y**3 - 2 Let y(d) = d**2 - d - 34. Let g(i) = i**2 - 3*i - 72. Give 4*g(p) - 7*y(p). -3*p**2 - 5*p - 50 Let o(u) = 11*u - 19. Let d be (-15*4/(-20) + 4)/1. Let l(s) = 16*s - 28. What is d*o(h) - 5*l(h)? -3*h + 7 Suppose 0 = -4*p + 654 + 830. Let y = 374 - p. Let s(c) = c**2 - c + 1. Let n(f) = f**2 - f. Let h(k) = -k + 2. Let x(w) = -2*h(w) - 2*n(w). Give y*s(d) + x(d). d**2 + d - 1 Let q(x) be the first derivative of x**4/4 - 3*x**2/2 + 2*x - 601. Suppose -13*z - 25 = -8*z. Let r(i) = -2*i**3 + 5*i - 4. Give z*q(w) - 3*r(w). w**3 + 2 Let v(m) = 217*m**2 + 66*m - 9. Let k(n) = 108*n**2 + 28*n - 4. Give -7*k(x) + 3*v(x). -105*x**2 + 2*x + 1 Let z(d) = -7*d + 4. Suppose -1 + 36 = 5*a + 5*n, 5*n - 2 = 6*a. Let i(h) = 13*h - 7. Give a*i(o) + 5*z(o). 4*o - 1 Let i = -2 - -16. Let d = i - 13. Let t(h) = -2*h**3 + 5*h**2 - 5*h. Let s(r) = -350*r**3 - r**2 + 120*r**3 + r + 116*r**3 + 115*r**3. Give d*t(k) + 4*s(k). 2*k**3 + k**2 - k Let y(c) = -c + 3. Let o(r) = 370 - 30*r - 28*r + 56*r - 368. What is -2*o(b) + 3*y(b)? b + 5 Let u(j) = -3*j + 177*j**2 + 178*j**2 - 361*j**2 - 3*j + 13*j. Let d(t) = 13*t**2 - 15*t. What is 2*d(q) + 5*u(q)? -4*q**2 + 5*q Let l(s) = -5 - 23*s - 3*s**2 + 20 - 39*s + 15*s + 2. Let p be l(-10). Let o(v) = -528*v**2 + 187. Let k(u) = -17*u**2 + 6. Give p*k(m) - 6*o(m). -11*m**2 Suppose -63*s = -56*s + 21. Let f be s - 24/(-36)*(-153)/(-6). Let o(q) = 40*q + 10. Let c(w) = -8*w - 2. Give f*c(t) + 3*o(t). 8*t + 2 Let l(i) = -10418*i + 14. Let d(h) = -46880*h + 64. Determine 7*d(t) - 32*l(t). 5216*t Let b(c) = 15*c + 81. Let d(l) = -5*l + 13 + 4*l - 53 + 22 + 13. Let z be ((-4)/5)/(6/15). Give z*b(h) - 33*d(h). 3*h + 3 Let a(n) = -n**2 - 2*n + 57. Let q(u) = -u + 3. What is -a(v) - 4*q(v)? v**2 + 6*v - 69 Let j(p) = -3*p**2 - 2*p - 6. Let i(w) = 5*w**2 + 3*w + 11. Suppose -3*a + 3*x + 45 = 0, -83 = -5*a - 9*x + 15*x. Give a*j(n) + 4*i(n). -n**2 - 2*n + 2 Let o(b) = -1. Let i(l) = -3*l + 4. Suppose -5*n - 5*s + s = 8, -4*s - 8 = -2*n. Suppose n = 10*x - 93 + 103. What is x*i(m) - 3*o(m)? 3*m - 1 Let v(o) = 14*o + 1. Let i(h) = 40*h + 3. Let y be 5 - 9 - (0 + 1 + -11). Let u(q) = y*i(q) - 17*v(q). Let r(t) = t. Calculate 4*r(p) - 3*u(p). -2*p - 3 Let r(o) = o**3 + 2*o**2 - 4*o + 458. Let y(v) = -v**2 + v. Give -r(b) - 4*y(b). -b**3 + 2*b**2 - 458 Let j(q) = 2*q + 2. Let v be (2 - -1)*(-3 + 2). Let l be (-1 - (1 + 0))/(-2). Let a(f) be the second derivative of f**2/2 + 90802*f. Give l*j(p) + v*a(p). 2*p - 1 Suppose -44 = 18*h - 68*h + 6. Let u(f) be the second derivative of -f**2/2 + 2*f. Let o be (3 - 1)*2/4. Let a(q) = -6*q + 2. What is h*u(n) + o*a(n)? -6*n + 1 Let h(i) = -317151*i**2 + 538*i - 269. Let d(t) = 5873*t**2 - 10*t + 5. Give -269*d(x) - 5*h(x). 5918*x**2 Let m(w) = -1062*w**3 - 590*w**2 - 118*w + 118. Let b(h) = -5*h**2 - h + 1. Determine -472*b(t) + 4*m(t). -4248*t**3 Let d(s) = 3*s - 6. Let g(q) = -3*q + 5. Let k(u) = 5*d(u) + 6*g(u). Let z(w) = -4*w. Let l = 21 - 26. Calculate l*k(y) + 4*z(y). -y Let s(y) = 2*y**3 - 1. Let v(i) = -6*i**3 - 3*i**2 + 2*i + 10. Determine 2*s(n) + v(n). -2*n**3 - 3*n**2 + 2*n + 8 Suppose 20 = 7*r - 3*r. Suppose -t + 672*z + 16 = 675*z, 2*z = 4*t - 22. Let b(y) = 10*y**2 + 7*y + 10. Let v(p) = -7*p**2 - 5*p - 7. Give r*b(k) + t*v(k). k**2 + 1 Suppose 22*u + 2 = 26*u + 6. Let x(w) = 27*w**2 + 2. Let v(z) = z**2 - z - 1. Determine u*x(r) - v(r). -28*r**2 + r - 1 Suppose -2*k = 3*s - 17, 6 = 3*s - s. Let p(v) = 8*v + 72 - 73 - k*v. Let c(j) = -j - 1. Let x = 1 - 0. What is x*p(a) + c(a)? 3*a - 2 Let g(s) = 6 - 11*s**2 - 11*s**2 - s**2 + 22*s**2. Let x = 12 + -11. Let v = x + -8. Let f(a) = -a**2 + 7. Calculate v*g(z) + 6*f(z). z**2 Suppose 4*n - 29 = -5. Let s(p) = 7*p + 6. Let h(q) = 12. Let j(a) = -7*a - 89. Let o(f) = 7*h(f) + j(f). What is n*o(r) + 5*s(r)? -7*r Let t(b) = -4*b - 1. Let o(u) = 3409*u - 6. Determine o(z) - 6*t(z). 3433*z Let y(l) = -4*l**2. Let a(f) = 31*f**3 - 9*f**2 - 6*f - 6. Let x(o) = -26*o**3 + 7*o**2 + 5*o + 5. Let h(s) = 5*a(s) + 6*x(s). Calculate 8*h(w) - 6*y(w). -8*w**3 Let i(c) = -6206*c - 11. Let l(a) = 3385*a + 6. Let
{ "pile_set_name": "DM Mathematics" }
j - 1)**3*(9*j - 2) Determine o, given that 10/9*o**3 + 44/3*o**2 + 16/9 - 50/9*o**4 + 88/9*o = 0. -1, -2/5, 2 Factor -5/2*z**3 + 0 + 0*z + 0*z**2 - 15/2*z**4. -5*z**3*(3*z + 1)/2 Let d(m) be the second derivative of 1/2*m**2 - m + 1/12*m**4 - 1/3*m**3 + 0. Let d(x) = 0. Calculate x. 1 Let g(a) be the third derivative of -a**7/8820 + a**6/840 - a**5/210 - a**4/8 + 4*a**2. Let m(s) be the second derivative of g(s). Factor m(o). -2*(o - 2)*(o - 1)/7 Factor 0*m**4 + 3/5*m**3 + 0*m - 1/5*m**5 - 2/5*m**2 + 0. -m**2*(m - 1)**2*(m + 2)/5 Let w be 2/7 + (-408)/(-42). Suppose -i = -5*v + 2, -v + 5*i = -6*v - w. Suppose 4/9*j + 2/9*j**2 + v = 0. What is j? -2, 0 Let q(y) be the second derivative of 0*y**3 + 2*y + 1/70*y**5 + 2/105*y**6 + 0*y**2 - 1/42*y**4 + 0. Factor q(n). 2*n**2*(n + 1)*(2*n - 1)/7 Let v(t) be the second derivative of -t**7/280 + t**6/120 - t**3/2 + 5*t. Let o(p) be the second derivative of v(p). Determine i, given that o(i) = 0. 0, 1 Let i(h) be the first derivative of -1 - 1/15*h**5 + 0*h + 0*h**2 + 0*h**4 + 0*h**3. Let i(n) = 0. What is n? 0 Let o(n) be the first derivative of 9*n**5/10 + 3*n**4/2 - 5*n**3/6 - 3*n**2 - 2*n - 9. Factor o(i). (i - 1)*(i + 1)*(3*i + 2)**2/2 Let y = 388/3 - 128. Suppose -2/3 + 4/3*a**3 + y*a**2 - 2/3*a**5 - 2/3*a - 2/3*a**4 = 0. What is a? -1, 1 Suppose w + 2*w = 2*x - 12, 11 = 5*x + 2*w. Find k such that 1/2*k**x + 0*k + 0 + 1/2*k**2 = 0. -1, 0 Let l(x) be the third derivative of x**6/10 - 7*x**5/20 - x**4/4 - 7*x**2. Factor l(g). 3*g*(g - 2)*(4*g + 1) What is z in 0*z - z**3 + 5/8*z**4 + 0 - 1/2*z**2 = 0? -2/5, 0, 2 Let j be 4/(144/(-69)) + 2. Let q(u) be the third derivative of j*u**4 + 0 + 0*u**3 - 1/12*u**5 - 2*u**2 - 7/120*u**6 + 0*u. Suppose q(k) = 0. What is k? -1, 0, 2/7 Suppose -2*t = -5 + 1. Let x(a) = -a + 10. Let r be x(7). Solve s + r*s**2 - 4*s**2 - t*s = 0. -1, 0 Let w(d) be the third derivative of -d**6/360 + d**5/180 + d**4/72 - d**3/18 + 9*d**2. Factor w(t). -(t - 1)**2*(t + 1)/3 Suppose 0 = -5*y - 2*w - 6, 2*w = 4*y + 2 - 8. Let s(i) be the first derivative of -2 + 1/15*i**3 + 0*i + 0*i**2 + y*i**4 - 1/25*i**5. Factor s(m). -m**2*(m - 1)*(m + 1)/5 What is t in 2*t - 4*t**5 + 2*t**5 + 13*t**4 + 4*t**2 - 17*t**4 = 0? -1, 0, 1 Suppose 0 = 4*z + 3*a - 21, 4*z + 5 = 5*a + 2. Factor -42*i + 30*i**2 + 14*i + 8 + 0*i**3 - 9*i**z. -(i - 2)*(3*i - 2)**2 Let r(m) be the first derivative of -3/2*m**2 - 1/4*m**4 - m**3 - m - 2. Solve r(c) = 0. -1 Let s be 0*((-4)/2)/(-6). Let y(n) be the first derivative of -n**2 - 3 + s*n - 3/4*n**4 - 5/3*n**3. Factor y(u). -u*(u + 1)*(3*u + 2) Let u be (23 + -23)*2/4*2. Factor -1/2*q**2 + u - 1/2*q**4 - q**3 + 0*q. -q**2*(q + 1)**2/2 Let 12*i**2 + 4*i**2 + 2*i**3 - 4*i**2 + 8*i + 2*i**3 = 0. Calculate i. -2, -1, 0 Let n be 46/(-69)*1/(-2). Find j such that 1/3*j**2 + 1/3*j - 1/3*j**3 - n = 0. -1, 1 Suppose b + 2*t = 4, -3*b + t - 2 = -b. Suppose 0*g - 3*g - 12 = 0, -5*r - 4*g - 6 = b. Factor 2 - 4*c**r - 3*c**2 - 5*c + 0*c. -(c + 1)*(7*c - 2) Factor -2/11 + 2/11*s**2 + 2/11*s - 2/11*s**3. -2*(s - 1)**2*(s + 1)/11 Let c(i) = 11*i**2 + 8*i + 17. Let k(w) = w**2 + w + 1. Let s(v) = -c(v) + 6*k(v). Let l(p) = 2*p**2 + p + 5. Let z(j) = 7*l(j) + 3*s(j). Factor z(f). -(f - 2)*(f + 1) Suppose 5*k + 1 = 3*u, 3*k + 0 = 2*u - 2. Suppose 2*a**3 - u*a + 9*a - a**4 + 1 - 4*a = 0. Calculate a. -1, 1 Let u be ((-16)/(-6))/(16/24). Determine i, given that 0 - 9*i**2 + 0 - 4*i**u + 13*i**2 = 0. -1, 0, 1 Let w(t) be the second derivative of 3*t**4/22 - 2*t**3/33 - 22*t. Determine p so that w(p) = 0. 0, 2/9 Let k be (-23)/(-10)*(-5)/2. Let c = 6 + k. Suppose 1/2*p**2 - 1/4*p - c*p**3 + 0 = 0. Calculate p. 0, 1 Suppose -2*q + 9 = 2*q + 3*l, 5*l = -q - 2. Factor -r**3 - 2 + 4*r**3 + q*r**2 + r + 2 + r**4. r*(r + 1)**3 Let c(n) be the first derivative of -5*n**2 + 3 - 3/8*n**4 - 7/3*n**3 - 4*n. Factor c(o). -(o + 2)**2*(3*o + 2)/2 Let v(a) be the third derivative of -a**5/180 + a**4/72 - 8*a**2. Suppose v(u) = 0. What is u? 0, 1 Let n = 13/12 + -5/6. Let a = 12 - 23/2. Factor -5/4*s - n*s**3 - a - s**2. -(s + 1)**2*(s + 2)/4 Suppose 0*t - 15 = -5*t. Suppose -6*n + t*n = 0. Factor n - 2/7*o - 2/7*o**2. -2*o*(o + 1)/7 Determine v so that -4/3*v - 10/3*v**2 - 2/3*v**4 - 8/3*v**3 + 0 = 0. -2, -1, 0 Suppose 1/2*m**2 - 1/2*m**4 - 1/6*m**5 - 1/6*m**3 + 0 + 1/3*m = 0. What is m? -2, -1, 0, 1 Let z(r) = -r**2 - r + 5. Let a be z(4). Let n = -44/3 - a. What is j in 2/3*j + n*j**2 + 1/3 = 0? -1 Factor -2*w**4 - 20*w**2 + 50*w**3 - w**4 - 12*w**4 - 40*w. -5*w*(w - 2)**2*(3*w + 2) Let k(l) = l**2 - 16*l + 15. Let p be k(15). Suppose p = -u - 0*u. Suppose 0*f**2 + u + 0*f - 1/4*f**3 = 0. What is f? 0 Let s = 6 - 4. Suppose 6 = -0*f + s*f. Solve 2*c + 2*c**2 - c + 4 - f*c - 4*c = 0. 1, 2 Let l(v) be the first derivative of 8*v**3 + 18*v + 5/3*v**4 + 18*v**2 + 2/15*v**5 + 6. Solve l(u) = 0. -3, -1 Let x(f) be the third derivative of f**5/330 - f**4/33 + 4*f**3/33 + 7*f**2. Solve x(t) = 0 for t. 2 Let z(b) be the first derivative of -b**5/80 + b**3/8 + b**2/2 + 4. Let j(i) be the second derivative of z(i). Suppose j(f) = 0. Calculate f. -1, 1 Let g(m) = 5*m**4 + 2*m**3 + m**2 + 4*m - 6. Let s(r) = 6*r**4 + 2*r**3 + r**2 + 5*r - 7. Let x(w) = -7*g(w) + 6*s(w). Determine k so that x(k) = 0. -1, 0, 1, 2 Let o(g) = g**3 + 10*g**2 + 3*g - 6. Let w be o(-9). Suppose -4*n**2 + 1 - 1 - 46*n**3 + w*n**3 + 2*n = 0. Calculate n. 0, 1 Let w(r) = -49*r**3 - 9*r**2 + 55*r + 9. Let u(o) = 50*o**3 + 10*o**2 - 54*o - 10. Let m(k) = -3*u(k) - 2*w(k). Factor m(z). -4*(z - 1)*(z + 1)*(13*z + 3) Let -2/5*j**4 - 2*j + 6/5*j**2 + 4/5 + 2/5*j**3 = 0. Calculate j. -2, 1 Let z(l) be the second derivative of l**6/225 + 2*l**5/75 - 13*l**4/45 - 4*l**3/3 + 15*l**2 + 56*l. Factor z(q). 2*(q - 3)**2*(q + 5)**2/15 Let j(p) be the second derivative of p**5/30 + p**4/3 + 3*p**2 + 2*p. Let w(s) be the first derivative of j(s). Factor w(i). 2*i*(i + 4) Let r = 6 - 3. Suppose r*l - 21 = 5*p, -5 = 6*l - 4*l + 3*p. Find g, given that -4*g**4 - 2*g**3 - l*g**3 + 7*g**3 + g**2 = 0. -1/4, 0, 1 Suppose f - 3*g + 0*g + 9 = 0, 2*f - 5*g + 14 = 0. Factor -1/5*m**2 - 2/5*m + 1/5*m**f + 0. m*(m - 2)*(m + 1)/5 Let l be 4/(-12) - (-2)/6. Suppose 0 = -r - l*r + 6. Suppose 2 + 1 + 2*v**2 + 1 - r = 0. Calculate v. -1, 1 Determine d so that 8 + 4*d - d**3 + 4*d**4 - 12*d**2 + 6*d**3 - 9*d**3 = 0. -1, 1, 2 Let f(t) be the third derivative of 1/120*t**6 + 0*t - 2/3*t**3 - t**2 + 0 + 0*t**4 + 1/20*t**5. Find u such that f(u) = 0. -2, 1 Let m be (((-3)/(-6))/1)/(-14). Let s = m - -2/7. Let 0*j - s*j**3 + 0*j**2 + 3/4*j**4 + 0 + j**5 = 0. What is j? -1, 0, 1/4 Solve 1 + 5/2*p + 1/2*p**3 + 2*p**2 = 0. -2, -1 Let w(g) be the second derivative of g**4/42 + g**3/7 - 5*g. Factor w(n). 2*n*(n + 3)/7 Let a(d) be the third derivative of d**7/420 - d**6/12 + 5*d**5/4 - 125*d**4/12 + 625*d**3/12 - 43*d**2. Solve a(v) = 0 for v. 5 Let n(a) = 5*a**5 - 5*a**4 - 41*a**3 - 19*a**2 + 6*a - 6. Let p(r) = -r**5 - r**4 + r**3 - r**2 - r + 1. Let w(b) = n(b) + 6*p(b). Factor w(f). -f**2*(f + 1)*(f + 5)**2 Let u(z) = 4*z**4 - 5*z**2 - 4*z - 4. Let q(f) = 4*f**4 - 6*f**2 - 5*f - 5. Suppose 5*o + 9 = -16. Let p(b) = o*u(b) + 4*q(b). Factor p(x). -x**2*(2*x - 1)*(2*x + 1) Let j(g) be the third derivative of g**7/420 - g**5/120 - 11*g**2. What is n in j(n) = 0? -1, 0, 1 Suppose 3*g - 19 = -0*g - 2*h, 3*g - h - 13 = 0. Suppose -15 = -2*y + g. Factor 73*w**2 + 32 + 7*w**2 + 80*w + 40*w**3 + w**5 + y*w**4 + 0*w**5. (w + 2)**5 Let g be (-630)/(-1176) - 2/7. Factor 1/4*u + g*u**3 - 1/2*u**2 + 0. u*(u - 1)**2/4 Let p(r) be the first derivative of 4*r**5/25 - r**4/5 - 4*r**3/15 + 2*r**2/5 - 6. Factor p(v). 4*v*(v - 1)**2*(v + 1)/5 Let s(y) = -5*y**3 - 5*y**2 - 10*y - 4. Suppose 3*n = n - 4. Let l(j) = -4*j**3 - 6*j**2 - 10*j - 4. Let b(q) = n*s(q) + 3*l(q). Factor b(w). -2*(w + 1)**2*(w + 2) Let m(y) = y**4 - y**3 + y**2 - y. Let l(s) = 6*s**4 - 2*s**3 + 8*s**2 - 4*s. Let j(o) = l(o) - 5*m(o). Find f such that j(f) = 0. -1, 0 Let c(l) = -l**3 + 2*l**2 + 2*l - 1. Let b be c(2). Factor 2/5*n**b + 0*n + 0 + 2/5*n**2 - 2/5*n**5 - 2/5*n**4. -2*n**2*(n - 1)*(n + 1)**2/5 Factor m**4 + 1/3*m**5 - m - 1/3 + 2/3*m**3 - 2/3*m**2. (m - 1)*(m + 1)**4/3 Let g(i) be the first derivative of -135*i*
{ "pile_set_name": "DM Mathematics" }
3 Let z(n) = n**3 + 7*n**2 - 6*n - 44. Let g be z(-5). Calculate the remainder when 1/6 + (-6)/(g/(-461)) is divided by 13. 12 Let j = 4252 + -4234. Let w = -16 - -57. Calculate the remainder when w is divided by j. 5 Suppose 9*h - 4*h = -165. Let u = h - -42. Suppose i - 15 = -0*i. What is the remainder when i is divided by u? 6 Let a = 2683 + -2191. Suppose 5*s - 322 = -4*v, 4*s - v = 79 + 166. What is the remainder when a is divided by s? 58 Suppose 5*u + 3579 = 2*x, -3*u + 1806 = -8*x + 9*x. What is the remainder when x is divided by 29? 28 Suppose -4*u + 2 = -f - 14, -f + 2*u - 6 = 0. Let g = f - -42. What is the remainder when g is divided by 32? 14 Let k(b) = -b**2 - 10*b - 2. Let l be (3/9 - 15/(-36))*-4. What is the remainder when 65 is divided by k(l)? 8 Let x = -1173 - -1640. What is the remainder when x is divided by 446? 21 Suppose -22*m + 27*m + 4*k - 12589 = 0, 3*m + 3*k - 7554 = 0. What is the remainder when m is divided by 84? 81 Let c(o) = 2*o + 4*o - 6 - 4. Suppose 5*z - 3*z = 6. Calculate the remainder when c(z) is divided by 5. 3 Let m = 381 + -346. Suppose -18*a + 23*a = m. Suppose -15 = -3*l, 7*l - 4*l + 50 = 5*x. Calculate the remainder when x is divided by a. 6 Suppose -2*i - i = -4*l - 676, -l - 4 = 0. Let o be ((-3)/(-5) + (-910)/(-25))/1. Let t = 74 - o. What is the remainder when i is divided by t? 35 Let r(h) = 7*h**2 + 2*h - 3. Let f be r(-3). Let d be 88*(3/14 + (-6)/(-21)). Let w = f - d. What is the remainder when 57 is divided by w? 7 Suppose -11*d + 67970 + 41357 - 19809 = 0. Calculate the remainder when d is divided by 185. 183 What is the remainder when 0 + (-3 - -1) + 4 + (-2 - -236) is divided by 120? 116 Let s be (1 - 13/4)*(-29 - -25). Suppose 3*j = 3*k - 39, -2*j - 3*k = 7 + s. Let y(w) = 2*w + 39. What is the remainder when 30 is divided by y(j)? 13 Let w be (-41 + 38)*(-13)/(-3)*-14. Let n(u) = 2*u + 6. Let p be n(3). What is the remainder when 18 is divided by (p/(-14))/((-26)/w)? 0 Let u(d) = d**3 + 6*d**2 + 4*d. Let l be u(-5). Suppose 3*x = 3*s - 21, -l*x = -0*x - 5. What is the remainder when s is divided by 4? 0 Suppose z + 4 = 19. Let i be 5/(-5) + 0/(-7). Calculate the remainder when ((-27)/5)/(i - 12/(-15)) is divided by z. 12 Let d be 18/4 + -5 - (-93)/6. Calculate the remainder when 8*d - (-2 + 8 - 3) is divided by (-2)/(-2)*19 + -4. 12 Let z(p) = -p**3 + 7*p**2 + p - 2. What is the remainder when 1796 is divided by z(6)? 36 Suppose -3*l + 4 = -5. Suppose -l*v + 223 = -4*m, -2*m + 88 = v - 3. What is the remainder when v is divided by 41? 40 Suppose 2*a = 5*k - 236, 0*k - 96 = a + 3*k. Let f = -71 - a. What is the remainder when 72 is divided by (-3)/(-6)*f + (-15)/(-10)? 12 Suppose 0 = 5*d - 25, 3*i + 4*d + 337 = -2703. Suppose 4*f - 140 = -0*f - 4*o, f - 43 = 3*o. Calculate the remainder when ((-4)/5)/(12/i) - -3 is divided by f. 34 Let q = 217 - 314. Let x = -68 - q. Let z = 88 + -33. What is the remainder when z is divided by x? 26 Suppose -o = 5*t - 2504, -6*o + 3*t + 2512 = -5*o. Suppose 0 = -21*y + 8*y + o. What is the remainder when y is divided by 39? 37 Let l = -15967 + 24191. Calculate the remainder when l is divided by 46. 36 Let t(a) = -2. Let l(s) = -s + 21. Let c(b) = 2*l(b) + 22*t(b). Let o be c(-6). Calculate the remainder when 2/(-12)*(o - 8)*-57 is divided by 6. 1 Suppose 4*n - 27 = -2*w + 7, 0 = 5*n - 2*w - 65. Let v = 45 + n. What is the remainder when 166 is divided by v? 54 Let z be -488*3/9*(-12)/8. Let h = z + -215. What is the remainder when 81 is divided by h? 23 Suppose 20520 = 5*w - 5*l, 9*w + 262*l - 258*l = 36832. What is the remainder when w is divided by 372? 4 Let t = 942 + -562. Suppose 12*x - 28 = t. Calculate the remainder when 98 is divided by x. 30 Suppose -2*w - 168 = 3*c, -4*c + w - 129 - 106 = 0. What is the remainder when 75 is divided by (-2 + 1 - c) + -34 + 30? 22 Suppose -2*b - 54*i = -57*i - 234, b = -4*i + 95. Calculate the remainder when b is divided by 35. 6 Suppose -3*r + 107 + 64 = 0. What is the remainder when 54/(6 + 3) + r is divided by 11? 8 Suppose -223*s = 60*s - 203194. Calculate the remainder when s is divided by 13. 3 Let y(d) = -d**3 - 108*d**2 + 110*d + 148. Calculate the remainder when y(-109) is divided by 38. 1 Let v(h) = 25*h - 5. Suppose 0 = -3*x - 14281 + 14500. What is the remainder when v(6) is divided by x? 72 Let s(f) = f**2 - 3*f - 4. Suppose 3*u = -u + 16, u = -2*o + 142. Calculate the remainder when o is divided by s(7). 21 Suppose -k + 0*k + 40 = -4*y, 2 = -2*y. Let a(b) = -b**2 + 5*b - 6. Let t be a(7). Let x = k + t. What is the remainder when 61 is divided by x? 13 Suppose -s + 0*q = -4*q, -s - 16 = 4*q. Let d(f) = -5*f - 37. Let r be d(s). What is the remainder when (-1)/(6*164/330 - r) is divided by 28? 27 What is the remainder when 170/(-1)*(35/(-2) + -1 + 13) is divided by 157? 150 Suppose 15*q = 14*q + 5*p + 4983, 5*p - 24825 = -5*q. Calculate the remainder when q is divided by 11. 7 Suppose -2*m + 3*s = -35, 2*m + 5*s = -48 + 123. Let a(f) = 5*f**2 + 21*f - 7. Calculate the remainder when m is divided by a(-5). 12 Let c = -22 + 44. Suppose -586 = 8*g + 278. Let b = g - -151. What is the remainder when b is divided by c? 21 Let j(n) = 3*n**2 - 10*n - 10. Suppose 0 = 8*q + 15*q - 115. What is the remainder when 237 is divided by j(q)? 12 Let k = 4 - 29. Let q be 1/(2 + k/15). Suppose -q*d + 60 = 2*d. What is the remainder when 44 is divided by d? 8 Suppose -3010*i + 2979*i + 434 = 0. Suppose 3*f = 5*f - u - 218, -2*f + 4*u = -212. Calculate the remainder when f is divided by i. 12 What is the remainder when 746 is divided by (-275)/15*(-114)/95? 20 Let v(m) = -2*m**2 + 90*m + 2409. Calculate the remainder when v(-17) is divided by 143. 15 Let f = -998 + 380. Let h = f + 632. Calculate the remainder when 320 is divided by h. 12 Let k(c) = 266*c. Let w(i) = -7*i. Let r(b) = 4*k(b) + 154*w(b). Let d(o) = 2*o**3 - 93*o**2 + 48*o + 15. What is the remainder when d(46) is divided by r(-2)? 23 Suppose -41474 = -74*f + 50138. Calculate the remainder when f is divided by 255. 218 What is the remainder when 301 is divided by 33/((-71 + 77)/(1*8))? 37 Suppose 4*v = -4*r + 480, 5*v - 120 = -r + 16. Calculate the remainder when 574 is divided by r. 110 Let d = 74 - 53. Calculate the remainder when (-93)/(1674/1248)*6/(-8) is divided by d. 10 Calculate the remainder when (-4815)/(-25) - 3 - (36/(-15) + 3) is divided by 97. 92 Let n(k) = 12*k**2 + k - 1. Let f be n(3). Let u be (-12545)/325 + (0 - (-9)/15). Let w = u + f. What is the remainder when w is divided by 19? 15 Suppose 9*u + 37793 - 276797 = 0. Calculate the remainder when u is divided by 98. 96 Let o(b) = -10*b. Let c be o(3). Let g be (-4)/c - (-3592)/60. Suppose 7*x - x = g. Calculate the remainder when 16 is divided by x. 6 Let m = -18 - -14. Let u(b) = b**2 - b - 3. Let j be u(m). Suppose 19 = 4*x - j. Calculate the remainder when x is divided by 4. 1 Suppose u + v = 4, 3*u = v + 11 + 5. Suppose -7*z = -19*z + 684. Let k = u + z. What is the remainder when k is divided by 18? 8 Let u(c) = 11*c**3 + 2*c**2 + 2*c - 2. Suppose 1027 - 286 = -13*h. Let i = h - -77. Calculate the remainder when u(2) is divided by i. 18 Suppose 50*m - 46*m = -4*f + 4972, 5*f - 3715 = -3*m. What is the remainder when m is divided by 114? 110 Suppose 5*k = -227 + 247. Calculate the remainder when (-3)/2*-1*120/18 is divided by k. 2 Suppose 0 = -8*u + 995 - 947. Let v be (-132)/(-55)*(-5)/(-2). What is the remainder when (2 + (2 - -14))*4/v is divided by u? 0 Suppose -3*f + 4*h = 1367 - 1613, 328 = 4*f - 3*h. Calculate the remainder when 308 is divided by f. 62 Let g = -30331 - -30355. Suppose 20 = 2*p + 5*z - 94, 3*z + 213 = 3*p. Calculate the remainder when p is divided by g. 19 Let z be 15/(-5) + (-2)/(-1) + 2. Let f(a) = 26*a - 2. What is the remainder when 188 is divided by f(z)? 20 Suppose a - w - 2*w = 27, 3*w + 12 = 0. Suppose a = 5*q - 0*q. Suppose q*j = 4*j - 26. Calculate the remainder when j is divided by 14. 12 Let o = 189 - 199. Calculate the remainder when 48 is divided by 21/5 + (1 - (-2)/o). 3 Suppose 295034 + 41491 = 35*d. What is the remainder when d is divided by 26? 21 Suppose -34*g + 576 = -1090. Suppose -487 = -637*o + 636*o. What is the remainder when o
{ "pile_set_name": "DM Mathematics" }
s. 3 Suppose 3*o + w = 5, -1 = -2*o + 5*w - 26. Suppose o = -2*v - 0 + 4. Suppose -5*t = -2*t - 4*q - 14, -2*t + 3*q + 9 = 0. Solve v*a - t = -0*a for a. 3 Suppose i = f, 3*i + 2*f - 15 = -0*i. Let b(o) = -o**2 + 6*o - 4. Let g be b(4). Solve i*v + g = 1 for v. -1 Let s = -36 + 52. Suppose -s = -h - h. Solve -4 = -3*u + h for u. 4 Suppose 4*b + 76 = 3*o - 0, b - 142 = -5*o. Suppose -8*w = -4*w + o. Let c = 12 + w. Solve 12 = c*l - 8 for l. 4 Suppose 6*g = 2*g - 5*x - 7, -3*x - 1 = 4*g. Let u(b) = -b**2 - 2 + 5 - 4 + 5*b. Let t be u(g). Solve -t*k = -k + 4 for k. -1 Suppose 3*r = -7 + 1. Let q be ((-27)/18)/(r/4). Solve 24 - 9 = q*y for y. 5 Let p be 3 + 0/2 - 2. Suppose f + p = 5. Suppose -4*i - 2*r + 4 = 0, -3*i + 2*r + 2 = 3*r. Solve i = -f*a + 5 + 3 for a. 2 Let r = -2 + 6. Solve b = -r + 1 for b. -3 Let b = 5 - 5. Solve b*m - 3 = -m for m. 3 Let h be (6/4)/(15/(-20)). Let c = h - -4. Suppose -3*v - 1 = 5*d + c, 0 = -v - 2*d - 2. Solve -v + 1 = -j for j. 3 Suppose v - 23 = -2*r - 9, 0 = -2*r - 3*v + 18. Let t = r + -4. Let b(y) = y**3 - 5*y**2 + 5*y - 2. Let z be b(4). Solve -t*q = -0*q + z for q. -1 Let d = 31 + -31. Solve d = -2*w + 5*w - 12 for w. 4 Suppose 5*t - 3*t = -14. Let u = 8 + t. Let p(m) = -m**2 - 5*m - 2. Let j be p(-3). Solve 9 = j*a + u for a. 2 Let v(r) = -r**2 + 2*r + 2*r**2 + 2 + 2 - 1. Let c be v(-2). Solve 16 = -f - c*f for f. -4 Suppose 0 = 3*h - 3, -7*h + 3*h + 14 = 5*w. Solve 0 = a - w*a + 4 for a. 4 Let m(l) = -l**2 - 6*l - 4. Let y be m(-3). Suppose -z + y*z = 0. Solve z = -2*s - 2*s + 20 for s. 5 Let t(k) = -5*k**3 - k**2 - k. Let d be t(-1). Solve -d*s - 4 = -s for s. -1 Let a be (0 + 1)*35/(-7). Let c(b) = -2*b - 7. Let o be c(a). Solve o*q = -6 - 0 for q. -2 Let m(f) = -f**3 - 5*f**2 - 3*f + 2. Let v be m(-4). Let y = v - -4. Solve -y*w + 3 = w for w. 1 Let u be 4/(-10) + 3 + (-15)/25. Solve 0*s - u*s + 10 = 0 for s. 5 Let c(i) = -i + 2. Let v be c(-7). Suppose -11*h = -v*h - 10. Solve 0 = -h*m + 2*m - 3 for m. -1 Let c(q) = q**3 + 11*q**2 - 12*q + 15. Suppose -4*b + 50 = -2*j + 18, b - 50 = 4*j. Let o be c(j). Solve o = 2*d + 3*d for d. 3 Let a = -1 - -1. Let t = 1 + a. Let w = t - -1. Solve w = -p - p for p. -1 Suppose 2*j + j - 12 = 0. Solve j = -3*f + 4*f for f. 4 Let h = 15 - 4. Let o = 40 + -38. Solve o*s + 1 = h for s. 5 Let r be (-2 - -5)*2/6. Suppose -1 = 2*x + c, x - 2*c = 4*x + 3. Let q = x - r. Solve q*b = 2*b + 6 for b. -3 Suppose -8*v - 5*f + 90 = -3*v, 0 = 2*v - 3*f - 26. Solve 0 = -4*j + 4 + v for j. 5 Let j(r) = -6*r**3 - 2*r**2 + 1. Let n be j(-1). Suppose -n*i + 13 = 2*k, 0 = 2*i - 5*k - 0*k + 18. Let t be 4 + i*(-3 + 2). Solve 2*h = t*h for h. 0 Let v be (-2)/(-8) - 105/20. Let z be v/10 + 3/6. Solve -4*u + 0*u = z for u. 0 Let n(b) = 2*b**2 + 3*b + 1. Let p be ((-1)/(-2))/((-1)/4). Let i be n(p). Solve -i*u + 2 + 1 = 0 for u. 1 Suppose -r - 116 = -5*r. Solve r - 4 = 5*y for y. 5 Suppose -3*v - v = 0. Suppose 2*b - 1 = g - v*b, -5 = -5*g + 5*b. Solve 2*y + 1 = g*y for y. 1 Suppose -9 - 1 = -5*o. Let m = 2 - o. Let a = m + 1. Solve c + a = 2*c for c. 1 Let q(f) be the first derivative of -f**4/4 + 2*f**3/3 + 5*f**2/2 - 4*f - 1. Let x be -1 + 7 - (5 + -2). Let b be q(x). Solve -15 = -b*k - k for k. 5 Let z = -33 - -36. Solve 0 = o - z*o for o. 0 Suppose -3*q + 1 + 2 = 0. Let s(j) = 4*j - 2. Let c be s(q). Solve y - c*y = 0 for y. 0 Let d(w) = -2*w + w**2 + 7*w + 5 + 0*w. Let g be d(-4). Let n = 138 - 138. Solve n = f + 1 + g for f. -2 Suppose -4*l + 5*l - w = 0, l = -4*w + 10. Solve 6*p = l*p for p. 0 Let c be ((-5)/(-4))/((-1)/(-16)). Let h(w) = w + 5. Let d be h(-5). Solve c = -d*i + 4*i for i. 5 Let k = -19 + 20. Let y = k + 3. Solve 0 = 4*t + y for t. -1 Suppose 6*d - 18 = -0*d. Solve d*v - 3 = -9 for v. -2 Let i be (-6)/(-21) + (-24)/(-14). Let y be (1 + -2)*-6 - i. Solve y = 3*j - j for j. 2 Let k = -4 - -4. Suppose -5*n = -k*n. Solve 0 = -n*j - j - 2 for j. -2 Let k(f) = -f - 3. Let u(o) = 3*o. Let j be u(-2). Let v be k(j). Solve -v*q = q + 8 for q. -2 Let x(l) = -l**3 + 6*l**2 - 4*l - 1. Let v be x(5). Let i = -7 - -5. Let s be 1/i + (-11)/(-2). Solve -v = s*n - 29 for n. 5 Let z be (-176)/(-48) - (-1)/3. Solve -2*s = -z*s + 4 for s. 2 Let i = 38 - 33. Solve -8 = i*k + 2 for k. -2 Let h(j) = -2*j - 25. Let d(l) = -3*l - 37. Let f(s) = 5*d(s) - 7*h(s). Let n be f(-8). Let c be (n/4)/(1/(-4)). Solve 3*x - 10 = -c*x for x. 2 Let u = 13 - 16. Let k be (-7)/((-42)/(-4))*u. Solve k*h = h for h. 0 Let j be (1 - (-12)/(-9))/((-2)/18). Solve 0 = j*k - 4*k - 3 for k. -3 Let f be (-1)/((-3)/15 + 0). Suppose -4*v - f*t - 1 = 0, 2*t = 5*v + 6*t - 1. Suppose -q + 0*q + 11 = 4*k, -3*q - v = -5*k. Solve 0 = k*u + 3*u for u. 0 Suppose 1 = -2*f - 11. Let t = 6 + f. Solve t = -0*r - r + 3 for r. 3 Let y = 51 + -35. Suppose -y = -u + 3*j, j + 31 = 3*u + u. Solve -13 = 5*w + u for w. -4 Suppose -12 = 3*f + 4*x - 0*x, 2*x = f + 4. Let p(a) = -2*a + 4. Let q be p(f). Solve -s = -4*s + q for s. 4 Let p(a) = a**2 - 6 + a**3 - 4*a**2 + 2 + 3*a - 2*a**3. Let n be p(-4). Solve n = -z + 3*z - 6 for z. 3 Let y = 19 + -33. Let k be 6/4 - 161/y. Solve 2*n + k = 3 for n. -5 Suppose -2*q + q = 0. Let w be 4 + (3 - q/(-3)). Let y = -7 + w. Solve -3*p + 0 + 3 = y for p. 1 Let o(w) = 7*w + 1. Let t be o(2). Let x be 1/(-3) - (-80)/t. Suppose 0 = -2*c, x*c + 16 = 5*q + 6. Solve -m + q = -2 for m. 4 Let b(v) = -3*v + 4*v**2 + 3 + 3*v - 2*v - 3*v**2. Let f be b(2). Solve 0 = 4*k - 1 - f for k. 1 Let r(o) be the first derivative of -o**3/3 + o - 4. Let s be r(1). Solve 5*l - 2*l = s for l. 0 Suppose 4 = 5*w + 3*h, -11 = -4*w + 2*h + 1. Solve x + w*x = 15 for x. 5 Let k(i) = -i**3 - 28*i**2 + i + 37. Let q be k(-28). Solve -x - q = -4*x for x. 3 Suppose 4*v + 4 = -2*q, 3*v = -5*q - v - 4. Solve n + 2 = -q for n. -2 Let k = 5 - 5. Suppose k = j + 1 - 0. Let y be j/(2 + -3) - 0. Solve b + y = -3 for b. -4 Let k = -42 + 75. Let o = -12 + k. Suppose -3*f = 4*n, -5*n + 6 + o = -3*f. Solve 8 = b + n*b for b. 2 Suppose -w - 19 = -4*r, 5*r + 0*w - 30 = -5*w. Suppose m + 5*i + 45 = 6*m, -r*m + 45 = -i. Solve 4*a + 7 = -m for a. -4 Suppose -4*z = -4*f - 16, 2*f = 2 - 0. Suppose -v = 5*s + 5, -3*s - z*v - 25 = -5*s. Suppose c - 4*c = s. Solve -16 = -c*k + 4*k for k. -4 Let w = 31 + -29. Solve -4*y = -w*y + 2 for y. -1 Let z = -11 + 16. Let m = 4 + z. Let r(t) = -t + 4. Let l be r(0). Solve -3 - m = -l*h for h. 3 Suppose 0 = -4*y + 33 - 25. Solve 0 = -d - y*d for d. 0 Let p = 11 + -7. Solve 0 = -a - p - 0 for a. -4 Let k(a) = -2*a**3 + 3*a**2 + 2*a + 2. Let m be k(-2). Suppose -3*i = -2*b - 9, -2*i - m = -2*b - 6*i. Solve b*c = -c for c. 0 Let q = 13 - -1. Let d be 1 - (-1 - 0 - -3). Let t = q - d. Solve 0 = 5*l + t + 5 for l. -4 Let s(c) be the second derivative of -c**5/20 + c**4/6 + c**3/2 + 2*c**2 - 2*c. Let x be s(3). Solve 20 = g + x*g for g. 4 Suppose -b - 45 = -6*b. Let o = -6 - -5. Let d = 5 + o. Solve n = d*n + b for n. -3 Let z be 33/(-22) + 81/2. Suppose 9 = 4*n - z. Solve 3*r + 0*r = n for r. 4 Let n = -29 - -40. Suppose -2*w = 3*t + n, 6*w - w + 5*t = -15. Solve 0 = w*m - 6 - 0 for m. 3 Let c(a) = -a**2 - 4*a + 2. Let t be c(-3). Suppose 0*m = 4*m - 3*y + 9, 15 = -t*m + 5*y. Solve m*d + d - 3 = 0 for d. 3 Suppose -64*r - 15 = -69*r. Suppose 3*j + 4*v = 32, 4*v + 10 = 5*j + 2*v. Suppose 11 + 10 = 5*t - j*w, 5*w - 10 = -t. Solve b - r + t = 0 for b. -2 Let f(a) = -3*a + 12. Let r be f(3). Solve -2*y + r = 7 for y. -2 Let j(u) = -u**2 - 5*u - 2. Let h be j(-3). Suppose 0*n - 4*n + 8 = 0, 5*i = h*n + 2. Solve i*c = -2*c - 20 for c. -5 Let l(z) = -5*z + z + z**3 - 4 - 3*z + 3*z**2 + 2*z. Let q be l(-4). Solve q = 3*t - 0*t + 15 for t. -5 Let l = 24 + -22. Solve 6*s = l*s for s. 0 Let i = -95 + 100. Solve 7 + 8 = -i*o for o. -3 Let q = 59 + -34. Suppose -3*l = -0*l + 4*w + q, -3*w = 12. Let s(k) = -k**3 - 3*k**2 - 5*k - 4. Let x be s(l). Solve 0 = 4*j + x + 9 for j. -5 Let h = 2 - -1. Let l = -41 + 61. Solve z + l = -h*z for z. -5 Suppose 0 = 2*u - 4, -5*a + 4 = -2*u - 2. Solve -a*l = -0*l for l. 0 Suppose -5*o + 3*o = 46. Let k = 23 + o. Solve k = 5*v - 1 + 6 for v. -1 Let u(o) = -o**3 + 5*o**2 + 5*o + 11. Let z be (-192)/(-36) + 2/3. Let p be u(z). Solve -24 = p*h + 1 for h. -5 Let w be ((-6)/4)/(1/(-2)). Let r be -1*(3 -
{ "pile_set_name": "DM Mathematics" }
d**2 + 28*d + 39. What are the prime factors of x(12)? 3, 7, 11 Let n(v) = v**2 + 7*v - 15. Suppose -r + 0*u + u - 16 = 0, -5*r - 40 = 3*u. What are the prime factors of n(r)? 29 List the prime factors of 40/(-12) - (-4492)/3. 2, 3, 83 Let m(j) = 7*j - 46. Let h be m(6). List the prime factors of (178/(-4))/(h/8). 89 Suppose 2*l - 73 = 25. Let z = -35 + l. Let n = z - 1. What are the prime factors of n? 13 Let p(s) = s**2 + 19*s + 4. Let z be p(-19). Suppose -3*i - z*i + 399 = 0. What are the prime factors of i? 3, 19 Suppose -4*k - 5*f = k + 5, -5*k = -f - 13. Suppose k*b + 3*r + r = 36, -4*r = -4*b + 108. List the prime factors of b. 2, 3 Suppose -2*k = -k - 4. Suppose 4*j - 2*z + 18 = 5*j, -5*z = k*j - 60. What are the prime factors of j? 2, 5 Suppose 304 = 4*j + 4*d, 5*j - 189 = 4*d + 164. Let z = j + 72. List the prime factors of z. 5, 29 Let q be (17 - 14)/((-6)/28). Let r = q + 33. What are the prime factors of r? 19 Suppose 0 = 4*z - 3*n - 20, -2*z + 5*n = z - 15. Suppose 0 = -3*q + z*q. Suppose 3*k = -q*v - 4*v + 35, -v - 4 = 5*k. What are the prime factors of v? 11 Let g = 1519 - 919. Suppose -6*i = -g + 168. List the prime factors of i. 2, 3 Suppose 0 = -5*k + q + 35, 4*q - 4 = -3*k + 5*k. Let c(p) = 9*p - 16. List the prime factors of c(k). 2, 7 Let s(r) = -2*r - 17. Let y be s(-12). Let z(c) = y*c + 3 + 0 - 11 + 2*c**2. List the prime factors of z(-8). 2 Suppose 2*o - 4 = -0*d - 3*d, -5*o - 13 = -4*d. Let c be ((-564)/(-30))/(o/5). List the prime factors of (-8)/(-28) - c/14. 7 Let b(u) = 3*u**2 - 18*u. Let y(o) = -5*o**2 + 36*o. Let c(l) = 7*b(l) + 4*y(l). List the prime factors of c(-20). 2, 5 Let x(o) = 34*o - 1. Let f be (1 + -3)*(-3)/6. What are the prime factors of x(f)? 3, 11 Let d = -3 - -18. Let c(f) = -f + 35. Let g be c(d). Suppose 8 + g = 2*h. List the prime factors of h. 2, 7 Suppose -7*n + 8*n = -a + 820, -n = -3*a - 816. List the prime factors of n. 3, 7, 13 Let h(p) = -p**3 - 13*p**2 + 8*p - 10. Let s be h(-12). What are the prime factors of (2/4)/(((-15)/s)/3)? 5 Suppose 0*l = 12*l. Suppose 2*x = -l*m + m + 146, -m = 3*x - 219. List the prime factors of x. 73 Suppose -48 = 5*v - 4*s + 9, -60 = 5*v - 5*s. Let k(i) = -i - 8. Let h(b) = -b + 1. Let u(c) = 4*h(c) + k(c). What are the prime factors of u(v)? 41 Suppose -3*s - 1317 = -2*i + 5109, 0 = -3*s. What are the prime factors of i? 3, 7, 17 Suppose -u + 5*a + 1353 = 0, 5*u + 5*a - 6877 = 2*a. What are the prime factors of u? 1373 Suppose 28796 = 34*b - 11*b. List the prime factors of b. 2, 313 Suppose -445 - 716 = -3*y. What are the prime factors of y? 3, 43 Suppose -5*x = -u - 4468 - 784, 0 = x + 2*u - 1057. List the prime factors of x. 1051 Suppose a = -4*a - 5. Suppose -3*y = 3, 0 = 5*x - 3*y - y + 16. List the prime factors of 31 - (a - -1)/x. 31 Let x = -31 + 31. Suppose -3*d = u - 132, 3*u + x*u - 4*d - 448 = 0. List the prime factors of u. 2, 3 Let s(p) = 22*p**2 + 3*p - 7. What are the prime factors of s(-2)? 3, 5 Suppose 0 = -3*g - 4*t + 10203, -40*g + 45*g - 2*t = 17031. What are the prime factors of g? 3, 5, 227 Suppose 4*b + 20 = 0, -3*b - 160 = -2*o - 5*b. List the prime factors of 7*28 + o/17. 3, 67 Let h be -9 + 14 - 1/1. Suppose h*q = t - 75, -3*q = -4*t + 111 + 163. List the prime factors of t. 67 Let h = -2705 - -5109. List the prime factors of h. 2, 601 Let c = 299 - -721. What are the prime factors of c? 2, 3, 5, 17 Let u(c) = -c**2 - 50*c - 44. What are the prime factors of u(-24)? 2, 5, 29 Suppose a - 523 + 65 = 0. Let g be -4*1 - (0 - a). Suppose -8*y = -42 - g. What are the prime factors of y? 2, 31 Let x be (2/4)/(14/(-168)). Let d be x/8*(-20)/5. Suppose -d*a + 41 = 2. List the prime factors of a. 13 Suppose 3*s - 10 = -2*s, -3*s + 29 = j. Suppose -j*m + 30*m = 2289. What are the prime factors of m? 3, 109 Let t(a) = a**2 + 8*a + 3. Let n be t(-8). Suppose n*q - 2 = d - 7, -1 = -d - q. Suppose d*p = 8, -2*i + 0*p + 28 = -2*p. What are the prime factors of i? 2, 3 Suppose 924 + 1092 = 8*b. Let q = b - 180. What are the prime factors of q? 2, 3 Suppose -4*n - 3256 + 11282 = c, 8034 = 4*n - 3*c. What are the prime factors of ((-6)/18)/((-3)/n)? 223 Let a(y) = 1 + 1 - 310*y + 308*y. Suppose -3*r + 4 = z + 18, 0 = -3*r + 5*z - 20. What are the prime factors of a(r)? 2, 3 Let j be (-8)/(-24) - (-64)/6. What are the prime factors of (1 - 7)/((j/4)/(-11))? 2, 3 Suppose 3*w + 2*g + 14 = 8*w, 4*w - 3*g - 14 = 0. Let c be 13 + -4 - 2*-1. Suppose 129 - c = w*i. List the prime factors of i. 59 Suppose 17*x - 6965 = 3728. What are the prime factors of x? 17, 37 Let s = 376 - -56. List the prime factors of s. 2, 3 Let x = 19 - 15. Let w be x/14 + (-1643)/(-7). Suppose -115 - w = -5*t. List the prime factors of t. 2, 5, 7 Let w(l) = 6*l**2 - 55*l - 15. What are the prime factors of w(18)? 3, 313 Let m = 16 - -87. List the prime factors of m. 103 Suppose 70*a = 52*a + 15912. What are the prime factors of a? 2, 13, 17 Let n(l) be the third derivative of l**5/20 + l**4/8 - 4*l**3/3 + 2*l**2. Let f be n(-4). Let j = f + -7. What are the prime factors of j? 3, 7 Let o = 126 + 2. What are the prime factors of o? 2 Let u be 3/(54/(-4)) + 1470/(-189). List the prime factors of ((-6)/u)/(3/(-101))*-4. 101 Let a = 2073 - 423. What are the prime factors of a? 2, 3, 5, 11 Let z(b) = -2*b**2 - 3*b + 8. Let j be z(-4). Let u(t) = t**3 + 13*t**2 + 10*t - 10. List the prime factors of u(j). 2, 7 Let j be (-8)/(-16) - (-10)/4. Suppose -32 = -u + 2*g, u + j*u - 5*g = 113. List the prime factors of 2/4*2 + u. 23 Let s = 4360 + -2333. List the prime factors of s. 2027 Let n = 283 + -166. Suppose 2*p - 4*f + n = 5*p, 3*p - 126 = -f. List the prime factors of p. 43 List the prime factors of (-237)/(-2 + 18/10) + 0. 3, 5, 79 Let z = 47 - 42. Suppose -6 = -3*a, -z*i + 5*a + 30 = -0*i. List the prime factors of i. 2 Let s(j) = -2*j + 7. Let i(m) = 2*m - 6. Let f(v) = 5*i(v) + 6*s(v). Let q = 51 + -59. List the prime factors of f(q). 2, 7 Suppose 3*d + c + 3 = 15, 2*d - 2*c = 8. Suppose 0 = d*p - 2 - 6. Suppose 0 = 3*t - 4*k - 61, -p*t = -t - 3*k - 27. List the prime factors of t. 3, 5 Let x(h) = 2*h + 9. Suppose -24 = 4*b - 4*f, -4*b = b + 3*f + 30. Let s be x(b). List the prime factors of (-7)/(s/(5 + 1)). 2, 7 Suppose -14 + 4 = -5*t. Suppose -38 = h - t*h. Let n = h + -14. List the prime factors of n. 2, 3 Let t = -1 + 3. Suppose -8*y + 6*y - i + 276 = 0, -5*y = 4*i - 696. Suppose t*g = -2*m + y, -g + 3*m = -m - 63. What are the prime factors of g? 67 Suppose 0*t + 4 = t, 0 = 4*y + 2*t + 20. Let p be (-240)/9 + 2/3. Let o = y - p. List the prime factors of o. 19 What are the prime factors of 1196 - (-2)/4*16? 2, 7, 43 Let y = 36 - 21. Let f = 7 - y. Let x = 14 + f. List the prime factors of x. 2, 3 Let y = 94 + -4. List the prime factors of y. 2, 3, 5 Suppose -q - 17 = -211. What are the prime factors of q? 2, 97 Suppose o = 3*y + y - 55, -o - 34 = 3*y. Suppose -4*g + 4*c = -15 - 353, -365 = -4*g + 5*c. Let p = g + o. What are the prime factors of p? 2, 13 Let o = 784 + 1630. What are the prime factors of o? 2, 17, 71 Suppose -11*s + 60 = s. Suppose -y + n = 6*n - 77, s*n = -5*y + 465. What are the prime factors of y? 97 Let h(s) = -s**3 + 14*s**2 - 14*s + 23. What are the prime factors of h(13)? 2, 5 Suppose 727 + 144 = 2*j - 3*u, -j + 431 = -3*u. What are the prime factors of j? 2, 5, 11 Let f = 12 + -39. What are the prime factors of (f/(-3))/((-5)/(20/(-3)))? 2, 3 Let a be (-24)/(-42) + (-34)/(-14). Suppose 2*n = -5 - a, -p + 5*n = -22. Suppose 0 = -p*f + 1 + 39. List the prime factors of f. 2, 5 What are the prime factors of 446/2*8 + 6/(-1)? 2, 7, 127 Suppose 2*c + 4*p = -2*c + 20, -2*p = -5*c + 11. Suppose -3*v = 2*j - 2*v + 2, 0 = -2*j - c*v - 10. What are the prime factors of 7 - (2 - 1/j)? 2, 3 Let q be (-102)/18 + 5 + 159/9. Let w = 4 - -22. Let b = w - q. List the prime factors of b. 3 Let l = -1224 + 1931. What are the prime factors of l? 7, 101 Let n(r) = -r**3 + 4*r**2 - 5. Let b be n(5). Let k = b - -30. Suppose 5*g - g - 100 = k. List the prime factors of g. 5 Suppose -4*m - m = 0. Suppose 8 + m = 2*f. What are the prime factors of f/6*441/14? 3, 7 Suppose g - 6*g = 4*m - 771, 5*m + 4*g - 957 = 0. Suppose 4*j - 463 = m. List the prime factors of j. 163 Le
{ "pile_set_name": "DM Mathematics" }
our dps. 0.0007 Let w = 121710 - 122239.57. Let u = w - -518.5752. Let v = u + 11. What is v rounded to three dps? 0.005 Let d = -1.32 + 1. Let k = d - -32.32. Let s = -31.99896 + k. What is s rounded to 4 dps? 0.001 Let v = -8070948520.00034 - -8070703574. Let k = 244965 + v. Let c = k - 19. What is c rounded to 4 dps? -0.0003 Let b = 0 - -2. Let m(l) = 58*l**3 - 2*l - 1. Let a be m(b). Let i = 169 - a. What is i rounded to the nearest one hundred? -300 Let h = -2474 + 2474.000006588. Round h to 7 dps. 0.0000066 Let d be (-4)/6*(-12)/(-4). Let m be (-1353)/(-22)*d*(-20)/(-6). Round m to the nearest 100. -400 Let r = 0.03 + 0.01. Let y = 0.099 - r. Let w = y - -1.301. What is w rounded to 1 decimal place? 1.4 Suppose -4*d + 4*z - 83217 = -271693, -2*d - 5*z + 94210 = 0. Let k = d - 31115. What is k rounded to the nearest 100000? 0 Let q be 5540/7*(-1 + 36/8). Round q to the nearest 1000. 3000 Let s = 121.08 - 117.2985. Let t = s - 3.8. Round t to three decimal places. -0.019 Suppose 0*u - 4*u = -40. Let a(r) = 2*r - 5. Let f be a(u). Suppose -62012 = v + v + 4*t, f = -5*t. What is v rounded to the nearest 10000? -30000 Let o = 0.78 + -66.78. Let q = 65.9796 + o. What is q rounded to 3 decimal places? -0.02 Let w = -44745 + 44744.57074. Let l = -8 + 8.43. Let k = w + l. Round k to four decimal places. 0.0007 Let k = 4357246.1599829 - 4357249.7. Let h = k - -3.54. Round h to 5 decimal places. -0.00002 Let j = 829526 - 829524.780158. Let c = 1.22 - j. What is c rounded to five decimal places? 0.00016 Let a = -381.9412 + 381.3. Round a to one dp. -0.6 Let d(f) = -f**3 + 6*f**2 - 4*f. Let s be d(4). Let x(h) = -11*h - 21. Let a be x(s). What is a rounded to the nearest 10? -200 Let n = -854078 + 1435078. Round n to the nearest 100000. 600000 Let l be 2/(4/(-5))*-2. Let k be 4/(-6)*(-8 + (6 - 4)). Suppose 0*s + l = 3*q - k*s, -3*q = s + 5. What is q rounded to the nearest ten? 0 Let u = -237 - 736. Let q = 961.03 + u. Round q to the nearest integer. -12 Suppose 4*p = 0, 2 = 3*y - 2*y + p. Let i be (2/4)/(2/18008). Suppose -5*u - y*q + q = -4498, 5*u - q - i = 0. What is u rounded to the nearest one thousand? 1000 Let g = -12 - -17. Let s be g*(-123 - 3)/3. Round s to the nearest 100. -200 Let r = 5.46 + -5.26. Let w = 3 + -3.75. Let d = w + r. Round d to 1 dp. -0.6 Let f(h) = -87021*h + 137. Let n be f(-3). Round n to the nearest 100000. 300000 Let n = -55042 - -82314. Let m = n + -27268.3121. Let y = m + -3.7. Round y to 3 decimal places. -0.012 Let i = -1004 + 1000.635. What is i rounded to one dp? -3.4 Let j = -97 - -101.76. Let y = 4.76267 - j. What is y rounded to three decimal places? 0.003 Let q = -24081045 + 24082486.8431. Let z = q - 1358.834. Let d = -83 + z. What is d rounded to 3 decimal places? 0.009 Let m be (0 - -15)*(-14 - 4866126/(-9)). Round m to the nearest one hundred thousand. 8100000 Let j = -105 + 105.095. Let r = 0.09474 - j. Round r to 4 dps. -0.0003 Let y = -20.7 - -22. Let c = -1.15 - -3. Let g = c - y. What is g rounded to 1 dp? 0.6 Let n = 1.33999 - 0.34014. Let j = 1 - n. Round j to four dps. 0.0002 Let y = 437008 - 133010. Let h be y/(-8) + (-10)/40. What is h rounded to the nearest 10000? -40000 Let u = -1.405 - -0.91. Let l = 3871.595 - 3891. Let b = l + u. What is b rounded to zero dps? -20 Let i = 5871 - 5870.5517. What is i rounded to 2 decimal places? 0.45 Suppose -2 = -2*k + 2, 3*k = -4*x - 28210. Let q = -2946 + x. Round q to the nearest 1000. -10000 Let y = -26 + 26.031. Let s = 17.109 + y. Let g = s - -2.26. Round g to 0 dps. 19 Suppose 4*x - 12 = 0, 4*x + 2424 + 45418 = g. Let y = g - 31254. Round y to the nearest 1000. 17000 Let j = -2.72 + 3. Let b = -74001 + 74001.280156. Let w = b - j. Round w to five dps. 0.00016 Let y = 9.13 + -7.7. Let k = 1.43000292 - y. Round k to 7 dps. 0.0000029 Let v(u) = -186*u**3 + 17*u**2 + 33*u + 18. Let w be v(16). Let p = w - 260042. What is p rounded to the nearest one hundred thousand? -1000000 Let b = -14526 + 14525.2581. What is b rounded to 1 decimal place? -0.7 Let q(o) = -o**2 + 1. Let h(z) = -3690*z**3 + 12*z**2 - 1. Let r(a) = h(a) + 6*q(a). Let k be r(-5). Let j = 161405 - k. Round j to the nearest one million. 0 Suppose -o = 8 + 8. Let c = 16 + o. Let d(u) = -u - 1300000. Let p be d(c). Round p to the nearest one million. -1000000 Let f = 18 + -26. Let l = f + 7.971. Let m = 0.116 + l. What is m rounded to 2 dps? 0.09 Let d = 65.8 - 61. Let p = d + 18.3. Let a = -19 + p. Round a to the nearest integer. 4 Let d(a) be the second derivative of 4*a**2 + 0 + 245833/2*a**3 + 3*a. Let r be d(8). Round r to the nearest one million. 6000000 Let p = -2171 - -2262. What is p rounded to the nearest 100? 100 Let t = 0.228 - 0.193. Round t to 3 dps. 0.035 Let z be (-200)/(-15)*393/2. Let c(t) = -3*t + 17. Let h be c(-4). Suppose 0 = -h*b + 27*b + z. Round b to the nearest 100. 1300 Let m = -4759 - -4721.93. Let o = -37 - m. Let i = -0.79 - o. Round i to 1 dp. -0.9 Let r = 0.3674 - 0.3675999. Round r to 5 decimal places. -0.0002 Let v = 602 + -1430. What is v rounded to the nearest 100? -800 Let c = -461.22 + 7.22. Let k = -454.579 - c. Round k to one decimal place. -0.6 Let l = -227461.460156 - -227461. Let k = 0.46 + l. Round k to 5 decimal places. -0.00016 Let g = 627020 + -54601. Let l = -132164 + g. Let x = 860255 - l. What is x rounded to the nearest 100000? 400000 Let h(d) = -3*d + 31. Let i be h(12). Let p(q) = 3*q**3 + 2*q + 15. Let x be p(i). Round x to the nearest one hundred. -400 Let j(p) = -p**3 + p**2 + 359. Let v be j(0). Let y(q) = -4*q**2 + 2015*q**3 + 359 - 6*q - v. Let k be y(-4). Round k to the nearest ten thousand. -130000 Suppose 91*w = 97*w - 3336000. What is w rounded to the nearest 100000? 600000 Suppose -5*c = -5474 - 4386. Round c to the nearest 100. 2000 Let s = -18.8 - -18.703. Let a = s + 0.09415. What is a rounded to 4 dps? -0.0029 Let c = 85381.087923541557 - 0.017924501557. Let j = c + -85381. Let w = j - 0.07. Round w to seven decimal places. -0.000001 Let b be 4/(-18) - 38/(-9). Suppose -2*d = b*u - 1056, -4*u = 5*d - u - 2612. Round d to the nearest 100. 500 Let i = -4.269999016 + 4.27. Round i to 7 decimal places. 0.000001 Let w(n) = 86*n**2 - 15*n + 51. Let j be w(-13). Round j to the nearest 10000. 10000 Let q = 0.035612 - 0.03993. Round q to 4 decimal places. -0.0043 Let i = 1311902095494.2000006 + -1311901797483. Let v = i - 298011. Let l = -0.2 + v. What is l rounded to 7 decimal places? 0.0000006 Let t(u) be the first derivative of 91999/4*u**4 + 1/3*u**3 + 1/2*u**2 - u + 3. Let w be t(-1). What is w rounded to the nearest 10000? -90000 Let u = 0.06 - 5.98. Let m = -5.1 - u. Round m to 1 decimal place. 0.8 Suppose 0 = 6*l - 15206679 - 2971041. Let g = l - -6970380. Round g to the nearest 1000000. 10000000 Let h = -1382.19 - -1375. What is h rounded to zero dps? -7 Let z = 1.8 - 8.8. Let r = z + 7.12. Let p = -0.12000121 + r. What is p rounded to 7 dps? -0.0000012 Let w(h) = -404166*h**3 - h**2 - 17*h - 6. Let r be w(6). What is r rounded to the nearest one million? -87000000 Let f = -42 + -106. Let m = f + 47. Let n = m - -99.28. Round n to one decimal place. -1.7 Let d(m) = 89997*m - 3. Let l(c) = c**3 - 4*c**2 + 2*c + 3. Let j be l(2). Let y be d(j). What is y rounded to the nearest ten thousand? -90000 Let i = -1643227.66 + 38826.57. Let w = i - -1604368.08999941. Let m = w - -33. What is m rounded to 7 decimal places? -0.0000006 Let f = -14.9203182 - -14.92. What is f rounded to five dps? -0.00032 Let x = 22.4927632 - 72.4928317. Let t = -50 - x. Round t to five decimal places. 0.00007 Let y = -10.4 - -11. Let g = -0.62 + y. Round g to 1 dp. 0 Let u = -4815 + 4821.227. What is u rounded to the nearest integer? 6 Let g = -365 + 238.5. What is g rounded to the nearest 10? -130 Suppose 2*u - 9772 = 1848. Round u to the nearest one hundred. 5800 Let y = 632769.00200091 + -632724.002. Let p = 186 + -141. Let h = y - p. Round h to seven decimal places. 0.0000009 Suppose -45*p - 5670 = -54*p. Round p to the nearest one thousand. 1000 Let q = -0.032595868 - 163.967561132. Let x = q + 164. What is x rounded to 5 decimal places? -0.00016 Let a = -355.9864 + 356. What is a rounded to 3 dps? 0.014 Let u = 38.3655 + 0.4545. Let l = -39 +
{ "pile_set_name": "DM Mathematics" }
? -90 Let i(g) = -122000*g. Let r(x) = -4*x**2 - x. Let f be r(-2). Let c = f + 9. Let m be i(c). What is m rounded to the nearest 100000? 600000 Suppose 0*w - 6984 = 2*x - 3*w, 0 = -4*w - 8. Let p = x + -5505. Round p to the nearest 1000. -9000 Let u = -594.27 - -594.4700008. Let a = 0.1 - -0.1. Let n = a - u. What is n rounded to six decimal places? -0.000001 Let u = 2 - -1.5. Let v = 0.12 - -5.88. Let m = v - u. Round m to the nearest integer. 3 Let h = -0.04 - -0.01. Let f = 89.97 - h. Let s = 85.3 - f. Round s to zero decimal places. -5 Suppose 3*h = -2*h + 15. Suppose 3*d - 590 = -5*b, -4*d - d - h*b = -1010. Round d to the nearest 10. 210 Suppose 2*g + 2*g + 5*j = -205, -2*g + 5*j = 125. What is g rounded to the nearest ten? -60 Suppose 5*l - 9 - 1 = 0. Suppose 4*i + 2*n = 15196, -i + l*n = -3*i + 7596. What is i rounded to the nearest 1000? 4000 Suppose 0 = -a - a + 328. Let u be (-1)/(-6) + a/24. Suppose b - 11 = u. Round b to the nearest ten. 20 Let b = -111.999651 - -112. What is b rounded to 4 dps? 0.0003 Suppose 0 = 2*b + b. Suppose b*i = -i + 5. Suppose 4*h = -17 + i, 4*d - 2*h = 6. What is d rounded to two dps? 0 Let u = -0.14 - 1.86. Let g = 2.000348 + u. What is g rounded to 5 decimal places? 0.00035 Let q = 13.50000138 + -13.5. What is q rounded to 7 dps? 0.0000014 Suppose -o = -5*o + 120. Suppose -5*s - 5*q = -10*q - o, 3*s + 2*q + 2 = 0. Suppose z = s*z - 1800000. Round z to the nearest one million. 2000000 Suppose 852020 = -3*r - 4*s, 3*s + 1135995 = -4*r + 4*s. Round r to the nearest 10000. -280000 Let v = 43.9994 + -44. What is v rounded to four dps? -0.0006 Let u = -225 - -225.00278. What is u rounded to 4 dps? 0.0028 Let j be -55*(6 + -4)*(-2 - 0). What is j rounded to the nearest 100? 200 Let z = -70609566 + 70609554.0000006. Let l = z + 12. What is l rounded to 6 dps? 0.000001 Let y = 23 - -7. Let t = -29.71 + y. Round t to one dp. 0.3 Let x be 4619990/(-55) + (-8)/44. What is x rounded to the nearest 10000? -80000 Suppose 1704313 = 2*d - 895707. Suppose 4*i = -2*z - 519992, -z = 4*z - 5*i + d. What is z rounded to the nearest 100000? -300000 Let x be (1 - 1) + (1038 - 1). Let n = 328 - 1865. Let u = x + n. Round u to the nearest one thousand. -1000 Let h(l) = 2*l**2 + l + 8. Let r be h(-4). What is r rounded to the nearest ten? 40 Let z = -0.8200528 - -0.82. Round z to 6 decimal places. -0.000053 Let v = -77.066 - -77. What is v rounded to 2 dps? -0.07 Let v = -10.3 - -11. Let a = -0.5 + v. What is a rounded to the nearest integer? 0 Let s(m) = 221*m**3 - 7*m**2 + m - 6. Let x be s(-6). Round x to the nearest ten thousand. -50000 Let m = 28 + -3. Suppose -2*j - 2*a - 68 = 0, -j + 3*a - 9 - m = 0. Round j to the nearest ten. -30 Let z = -15.4 + 15.4968. Let k = 0.1 - z. Round k to 3 dps. 0.003 Let y = -11 + 50. Let o = 655714.99929 - 655676. Let z = y - o. What is z rounded to 4 decimal places? 0.0007 Let h = 7 + -11. Let l be (6/(-8))/(1/h). Let p be ((-20)/l)/(2/159000). Round p to the nearest one hundred thousand. -500000 Let s be ((-21)/12 + 3)*12. Suppose -3*g + 0 = -s. Suppose g*n + 12824 + 7676 = 0. Round n to the nearest 1000. -4000 Let p = 11 - 10.999952. Round p to 5 dps. 0.00005 Let m = 149 - 148.99999578. Round m to 7 decimal places. 0.0000042 Let o = 0.2900512 - 0.29. What is o rounded to 5 dps? 0.00005 Let w = 102 + -32. Let v = -70.074 + w. Round v to two dps. -0.07 Let g = -1848538 + 2875585. Let r = 227047 - g. What is r rounded to the nearest 1000000? -1000000 Let h be (-6)/(-9) + 93421/3. Let r = h - -6859. What is r rounded to the nearest ten thousand? 40000 Let n = 65.033 - 0.033. Let h = 54555.973 - 54491. Let f = n - h. Round f to two dps. 0.03 Let r = -0.934 + -0.026. Round r to one dp. -1 Let d = 1746.94373 + -1747. Let v = 0.061 + d. Let a = v - 0.005. Round a to 4 dps. -0.0003 Let n = 42 + -16. Let c = 17 - n. Let q = 8.999982 + c. Round q to five decimal places. -0.00002 Let w = 37 + -32. Let k = 16306947 + -16306941.9999996. Let z = k - w. What is z rounded to seven dps? 0.0000004 Let v = -3.6005 - -3.6. What is v rounded to three decimal places? -0.001 Suppose 22 = -3*k + 5*k. Let l be (-2)/k + 9248/44. Suppose -3*b - 840 = -l. What is b rounded to the nearest 100? -200 Suppose 0*c + 2*c = 15000. Let w be (120/(-9))/5*c. Round w to the nearest 10000. -20000 Let n be 7 - (9/(-3))/((-9)/(-6)). Round n to the nearest 10. 10 Let c(j) = 6 - 1 + 2551*j - 1. Let n be c(-4). What is n rounded to the nearest 1000? -10000 Let o be -7 - -6 - -1*19. Suppose -28 = -j - o. Round j to the nearest one hundred. 0 Suppose -5*w + 490 + 410 = 0. Suppose y + y = -w. What is y rounded to the nearest one hundred? -100 Let l = -28310 - -75310. Round l to the nearest ten thousand. 50000 Let s = -0.051 - -0.253. What is s rounded to two decimal places? 0.2 Let n = 0.05 - 0.05. Let m = -0.2 + n. Round m to 1 dp. -0.2 Let c = -85 + 150. Suppose 4*t + 164 = 3*p - 62, t = 5*p - c. Round t to the nearest ten. -60 Let i = 35 - 25. Let y be (-4)/i + (-1449998)/5. What is y rounded to the nearest one hundred thousand? -300000 Let a = -957519104 + 957519081.99999988. Let n = a - -22. What is n rounded to 7 decimal places? -0.0000001 Let s = -2.4171 + -0.0129. Let a = s - 191.57. Let q = -193.907 - a. What is q rounded to two dps? 0.09 Let g = -2.8790407 + -0.1209543. Let m = g - -3. Round m to 6 dps. 0.000005 Let u(h) = -h**3 + 1. Let a(n) = -15630*n**3 - 4*n**2 - n. Let s(f) = a(f) - 4*u(f). Let x = -19 + 15. Let l be s(x). What is l rounded to the nearest 1000000? 1000000 Let v be 4/6*(6 - 9). Let j be (2/2)/(v/(-8)). Suppose j*g - 13 = -525. Round g to the nearest 10. -130 Let z = 6.553 - -0.147. Let r = 6.33 - z. What is r rounded to 1 decimal place? -0.4 Let c = -5 - -5. Suppose -2*f = c, 5*f - 800000 = -z - 3*z. Round z to the nearest one hundred thousand. 200000 Let d = 691.91016 + -692. Let u = 0.09 + d. Round u to four dps. 0.0002 Let l = 0.731 + 67.069. Let w = 74 - l. What is w rounded to the nearest integer? 6 Let m(v) = 4854*v - 44. Let d be m(-14). What is d rounded to the nearest ten thousand? -70000 Let h = -22.15 + 22. What is h rounded to 2 decimal places? -0.15 Let z = 251 - 121. Round z to the nearest one hundred. 100 Let g = -162.2 + 135. Let i = g + 319.2. Let d = i + -292.0000133. Round d to 6 dps. -0.000013 Let t(g) = -g - 4. Suppose 22 = -5*q - 13. Let o be t(q). Let f be 1200/((-1)/(-6750)*o). Round f to the nearest one million. 3000000 Let w(z) = -19*z**3 - 11*z**2 + 9*z - 7. Let f be (70/15)/((-2)/(-3)). Let m be w(f). What is m rounded to the nearest one thousand? -7000 Let p = -314384 - -124384. Round p to the nearest 100000. -200000 Let w = 2.86670261 + 0.13329389. Let v = 0.5 - 3.5. Let j = v + w. Round j to six decimal places. -0.000004 Let l = -840 + 839.9661. Let v = -0.038 - l. Round v to 3 dps. -0.004 Let o = 0.2 - 0.06. Round o to 1 decimal place. 0.1 Let x = 18 + -14.8. Let f = x - 17.2. Let y = f + 13.999986. What is y rounded to five dps? -0.00001 Let k(v) = -310*v + 4. Let f be k(-13). Let d = 254 + -7688. Let x = f + d. What is x rounded to the nearest 1000? -3000 Let w = -196 - 181. Let v(b) = 4*b**2 + 13*b + 3. Let r be v(-12). Let f = r - w. What is f rounded to the nearest 1000? 1000 Let j = 59 - 63.3. Let c = j - -4.299979. Round c to 5 decimal places. -0.00002 Let i = -10.0000023 + 10. Round i to six decimal places. -0.000002 Let m(q) be the third derivative of q**4/12 - 65*q**3 + 3*q**2. Let w be m(0). What is w rounded to the nearest one hundred? -400 Let o = 0.17631 + 13.81089. Let l = o - 14. What is l rounded to three decimal places? -0.013 Let n = 12434667 + -6754667. Round n to the nearest one hundred thousand. 5700000 Let t = -9 - -8. Let w = t - -0.999998. Round w to 5 dps. 0 Let j = 96.142 - 96. Let k = 0.15 - j. Round k to three decimal places. 0.008 Let k = -153 + 323. Suppose -3*s = -n - 7*s - 49, 5*n + 5*s = -k. What is n rounded to the nearest 10? -30 Let b = -0.0214 + 0.011. Round b to 3 decimal places. -0.01 Let w = -16 + 16.0000162. Round w to 6 decimal places. 0.000016 Let a = 2.7 + -8.1. Let d = 7.5 + a. Let j = d + -2.09999895. Round j to seven decimal places. 0.0000011 Let u = -5.5 - -6. Let y = -1 + u. Let i = -9.8 - y. What is i rounded to the n
{ "pile_set_name": "DM Mathematics" }
ctor 3/7*i**2 + 0 + d*i. 3*i*(i + 1)/7 Suppose y = -0 + 4. Let l(t) = 2*t**2 + 4*t - 2. Let q(o) = -o. Let a(i) = y*q(i) + l(i). Solve a(s) = 0. -1, 1 Let t(s) = -s**3 + s**2 + 1. Let j(r) = 8*r**3 + 16*r**2 + 48*r + 31. Let u(z) = j(z) + 5*t(z). Determine f so that u(f) = 0. -3, -2 Let h(c) be the third derivative of -c**6/120 + c**5/120 + 2*c**2. Factor h(s). -s**2*(2*s - 1)/2 Suppose 32/3 + 2/3*p**3 + 16*p + 6*p**2 = 0. Calculate p. -4, -1 Let j(p) be the first derivative of -5*p**6/6 - 4*p**5 - 25*p**4/4 - 10*p**3/3 - 1. Factor j(h). -5*h**2*(h + 1)**2*(h + 2) Let u(s) be the first derivative of -4*s - 2/3*s**3 + 3*s**2 - 1. Factor u(n). -2*(n - 2)*(n - 1) Factor 0 + 2/5*k + 2/5*k**2 - 8/5*k**5 + 22/5*k**4 - 18/5*k**3. -2*k*(k - 1)**3*(4*k + 1)/5 Let j = 177585 + -1600486/9. Let z = j - -247. Factor -2/9*c**2 + 0 - z*c**3 + 2/9*c**4 + 2/9*c. 2*c*(c - 1)**2*(c + 1)/9 Let q(v) = -3*v**3 - 5*v**2 - 7*v + 5. Let o(p) = 61*p**3 + 66*p**3 - 129*p**3 + 3 - 4*p - 3*p**2. Let t(l) = 5*o(l) - 3*q(l). Factor t(g). -g*(g - 1)*(g + 1) Factor 9/2*z - 3/4*z**2 - 27/4. -3*(z - 3)**2/4 Let f = -151/4355 + 8/201. Let u(m) be the second derivative of 0 + 0*m**3 + 1/130*m**5 + 2*m - f*m**6 + 0*m**4 + 0*m**2. Solve u(l) = 0 for l. 0, 1 Let x(l) = -3*l**3 + 13*l**2 + 3*l. Let m(w) = -w**3 + 6*w**2 + 2*w. Suppose -s + 25 = -6*s. Let p(a) = s*m(a) + 2*x(a). Find o, given that p(o) = 0. -2, 0 Let w be (-4)/(-2) - ((-882)/56)/(-9). Let i be 0 + 0*(-1)/2. Factor 0 + w*c**3 + 0*c**2 + i*c. c**3/4 Let v(n) = n**3 + n**2 + 1. Let f(c) = 5*c**4 + 18*c**3 + 29*c**2 + 20*c. Let h(q) = f(q) + 4*v(q). Factor h(k). (k + 1)**2*(k + 2)*(5*k + 2) Let m(h) be the second derivative of h**6/40 - 3*h**5/10 + 3*h**4/2 - 4*h**3 + 6*h**2 - 5*h. Factor m(q). 3*(q - 2)**4/4 Let f(q) be the third derivative of q**9/30240 + q**8/5760 - q**7/5040 - q**5/20 + q**2. Let l(r) be the third derivative of f(r). Factor l(a). a*(a + 2)*(4*a - 1)/2 Let b(g) = -16*g - 1. Let j(s) = 3*s. Let w(r) = 2*b(r) + 11*j(r). Let y be w(6). Find h such that 1/6*h**5 + 0*h + 1/6*h**3 + 0*h**2 + 0 + 1/3*h**y = 0. -1, 0 Let a(w) = -35*w**4 - 13*w**3 + 167*w**2 - 155*w + 36. Let u(f) = 17*f**4 + 7*f**3 - 83*f**2 + 77*f - 18. Let y(o) = 2*a(o) + 5*u(o). Factor y(t). 3*(t - 1)**2*(t + 3)*(5*t - 2) Let h = 29 - 24. Let x(b) = -b**4 - 4*b**3 - b**2. Let z(s) = 3*s**4 + 9*s**3 + 3*s**2. Let u(a) = h*x(a) + 2*z(a). Factor u(k). k**2*(k - 1)**2 Let p(m) = m**4. Let k(v) be the first derivative of -4*v**5/5 + v**4 + 14*v**3/3 + 4*v**2 - 2. Let n(c) = 2*k(c) + 4*p(c). Factor n(b). -4*b*(b - 4)*(b + 1)**2 Let p(j) = 8*j. Let y be p(1). Suppose 6*l - y = 2*l. What is f in 6*f**3 + 0*f - 3*f**4 - l*f - f**4 = 0? -1/2, 0, 1 Let j = 2/19 - -24/133. Factor 4/7*n + j + 2/7*n**2. 2*(n + 1)**2/7 Let n = -1/224 - 575/224. Let q = 20/7 + n. Find t such that 2/7*t**3 + 0*t - q*t**5 + 0 - 2/7*t**4 + 2/7*t**2 = 0. -1, 0, 1 Let g(r) = -19*r**4 - 88*r**3 - 43*r**2 + 30*r - 4. Let h(s) = 18*s**4 + 87*s**3 + 42*s**2 - 30*s + 3. Let z(x) = 3*g(x) + 4*h(x). Find t such that z(t) = 0. -5, -1, 0, 2/5 Let m(f) = f - 2. Let n be m(2). Let 1/4*p**2 + 1/2*p + n = 0. What is p? -2, 0 Suppose 2*q = 4*d - 0*d + 22, -29 = 5*d - q. Let s be (-1)/(-6) - 35/d. Let -2*g**2 + 2 + 0*g**3 + 2 - s*g**3 - 2*g**4 + 6*g = 0. What is g? -2, -1, 1 Let z(v) be the third derivative of -v**7/735 + v**6/420 + v**5/210 - v**4/84 + v**2. Factor z(r). -2*r*(r - 1)**2*(r + 1)/7 Let -3*r + 2 - r**2 - 5 + 1 = 0. What is r? -2, -1 Let c(d) be the second derivative of -d**6/120 + d**5/16 - d**4/16 - 3*d**3/8 + 20*d. Suppose c(q) = 0. Calculate q. -1, 0, 3 Let r(q) be the second derivative of -1/30*q**6 + 1/10*q**5 - 1/12*q**4 + 0*q**2 + 0 - 4*q + 0*q**3. Factor r(y). -y**2*(y - 1)**2 Let h(v) = v**3 + 3*v**2 - 3*v - 3. Let l be h(-3). Suppose -9*s = -l*s. Let 0*i + 2/7*i**5 - 2/7*i**4 - 2/7*i**3 + 2/7*i**2 + s = 0. Calculate i. -1, 0, 1 Let k be 12/9*2 - 6/(-18). Let q(a) be the third derivative of 0*a - 1/3*a**k - 1/30*a**5 - 1/6*a**4 + 0 + 3*a**2. Find y such that q(y) = 0. -1 Let d(l) = -4*l**3 - 2*l**2 + 4 + 3*l**3 + 2*l**3 + l**3. Let s(b) = b**3 - b**2 + 1. Let j(p) = d(p) - 4*s(p). Factor j(m). -2*m**2*(m - 1) Suppose -15 = -4*y + 1. Let g(j) = 2*j**2 - 6*j. Let n be g(y). Factor -24*s**3 - 10*s**2 + 18*s**4 + 8*s - n + 10*s + 6*s. 2*(s - 1)*(s + 1)*(3*s - 2)**2 Suppose -r = 3*t - 25, -3*t + 4*r + 23 = 3*r. Suppose t*v - 3*v = 0. Factor v + 2/9*u**2 + 0*u. 2*u**2/9 Suppose -5*g = 5*q - 15, 6*g - 11 = 2*g - 5*q. Let p be 0 - (-32)/6 - g. Factor -p - 2/3*l + 2/3*l**2. 2*(l - 2)*(l + 1)/3 Suppose 4*q = 6*q. Suppose -7*z + 8*z = q. Suppose 4/3*f**3 + 0*f + 14/3*f**4 + z + 0*f**2 = 0. What is f? -2/7, 0 Let i(q) = q**3 + 15*q**2 + 15*q + 14. Let m be i(-14). Find d such that -6/5*d**3 + 2/5*d + 4/5*d**2 + m = 0. -1/3, 0, 1 Let y = -5 - 0. Let t be (5 + y)*(-2)/(-4). Find d, given that -1/2*d**2 + t + 1/2*d = 0. 0, 1 Let k be (0 + (3 - 2))*(-4)/(-2). Factor -1/2*s**2 - 2 - k*s. -(s + 2)**2/2 Suppose 3*y = -28 - 26. Let z be (y/15)/(-2)*1. Solve -2/5 - z*c**2 + 7/5*c + c**4 - 7/5*c**3 = 0. -1, 2/5, 1 Let d be 3/2*60/135. Solve d*p - 2/3 + 2/3*p**2 - 2/3*p**3 = 0. -1, 1 Let b(w) be the third derivative of w**7/525 - w**6/75 + w**5/25 - w**4/15 + w**3/15 - 25*w**2. Let b(o) = 0. What is o? 1 Let o(f) be the first derivative of f**4/8 + f**3/2 + 3*f**2/4 - f + 1. Let z(h) be the first derivative of o(h). Factor z(b). 3*(b + 1)**2/2 Let f(l) be the first derivative of 4 + 0*l**2 + 1/20*l**5 + 0*l - 1/16*l**4 - 1/6*l**3. Solve f(m) = 0 for m. -1, 0, 2 Factor -9/2*d + 6 - 21/2*d**2. -3*(d + 1)*(7*d - 4)/2 Let m(a) be the third derivative of a**9/3024 - a**7/840 - 2*a**3/3 - a**2. Let z(q) be the first derivative of m(q). Factor z(d). d**3*(d - 1)*(d + 1) Let d(r) be the third derivative of r**7/3360 + r**6/720 - r**3/6 - 2*r**2. Let c(b) be the first derivative of d(b). Solve c(w) = 0. -2, 0 Suppose -m - 4 = 0, -4*m - 61 = -i - 4*i. Let o be (-8)/(-3) - 6/i. Factor d**2 - 2*d**o - 2*d**3 + 2*d + d**2. -2*d*(d - 1)*(d + 1) Let i = 5083/7 - 725. Let q be (-24)/(-14) - (-1 - -1). Let -2/7*y**4 - i*y - 8/7*y**3 - 2/7 - q*y**2 = 0. What is y? -1 Factor 4*b**2 + b - 8*b - 6*b + 12 - 3*b. 4*(b - 3)*(b - 1) Let b be 8/(-10)*(-95)/38. Factor 0 - l**4 - 2*l**b + 5/2*l**3 + 1/2*l. -l*(l - 1)**2*(2*l - 1)/2 Factor 0 - 4*u**2 - 2*u - 3/2*u**3. -u*(u + 2)*(3*u + 2)/2 Let m(u) be the first derivative of 3 + 1/20*u**5 + 5/8*u**2 - 1/4*u**3 - 1/2*u - 1/16*u**4. Factor m(i). (i - 1)**3*(i + 2)/4 Suppose -4 = 11*c - 59. Let m(f) be the second derivative of -1/35*f**7 + 0 - 27/100*f**c + 0*f**2 + 1/4*f**4 + 3*f - 1/10*f**3 + 7/50*f**6. Factor m(n). -3*n*(n - 1)**3*(2*n - 1)/5 Let y = -9 + 12. Determine s, given that -2*s**4 - 9*s**3 - 3*s - 9*s**2 - y*s**4 + 2*s**4 = 0. -1, 0 Factor 3/4*o - 3/4*o**3 - 3/4*o**4 + 3/4*o**2 + 0. -3*o*(o - 1)*(o + 1)**2/4 Suppose -15*k = -16*k. Find n, given that k*n - 2/5*n**2 + 2/5 = 0. -1, 1 Suppose 4*z - o = 6, -2 = -2*z + 3*o - 2*o. Find i, given that i**4 + 3*i**3 + i**4 - 3*i**3 - z*i**2 = 0. -1, 0, 1 Let d(f) = -f + 4. Let t be d(6). Let n be t + (-13 + 1)/(-3). Find z such that n + 2*z**2 + 0 - 4*z**2 = 0. -1, 1 Let i(v) be the third derivative of v**7/280 - 3*v**6/160 + v**5/80 + 3*v**4/32 - v**3/4 - 18*v**2. Factor i(s). 3*(s - 2)*(s - 1)**2*(s + 1)/4 Let m be 1 - (2/(-8) - (-30)/(-8)). What is j in 8/3*j**2 - 6*j**4 + 0*j - 9*j**m + 0 + 4*j**3 = 0? -2/3, 0, 2/3 Let -3/2*y + 0*y**2 + 0 + 0*y**4 - 3/2*y**5 + 3*y**3 = 0. What is y? -1, 0, 1 Let n = -16/5 + 18/5. Find z such that -4/5*z**3 - n*z**2 - 2/5*z**4 + 0*z + 0 = 0. -1, 0 Let m(a) = -a**3 - a**2 - a - 10. Let b be m(0). Let k be -2 + (-1 - b - 2). Suppose -k*d - d**3 - 2 - 4*d**2 - d**3 + d**3 = 0. What is d? -2, -1 Let z be 74/24 + -6 + 3. Let k(h) be the first derivative of -1/4*h + z*h**3 - 2 + 0*h**2. What is n in k(n) = 0? -1, 1 Let q(o) = 2 - 26*o - 12 + 23*o. Let w be q(-8). Determine g so that 2*g + g**5 + 7*g**2 - 3*g**3 - w*g**2 - 5*g**4 + 12*g**3 = 0. 0, 1, 2 Let a = 5 + 27. Let u be (-19)/(-40) + 4/a. Factor -3/5*d**2 - 3/5*d**3 + 0 + 3/5*d**5 + 0*d + u*d**4. 3*d**2*(d - 1)*(d + 1)**2/5 Suppose r = -2*r. Let t(g) be the first derivative of 2/15*g**3 + r*g**2 - 2/5*g - 2. Determine a so that
{ "pile_set_name": "DM Mathematics" }
= -48*a - 38. Let u be b(-1). Solve 5*y = u, -4*y = 2*o + 3 - 13 for o. 1 Let t be ((-1)/2)/((-44)/264). Solve 9*p + 27 = 4*p + l, -t*p - 5*l = 5 for p. -5 Let v be (-30)/60 - (-10)/4. Suppose -5*i - k = -6, 0 = -i - v*k - 3*k - 18. Solve -p + i + 2 = -5*n, -5*n = 2*p - 8 for n. 0 Let m be 2*-2*(-18 - -16). Suppose -m = c - 5*c. Suppose 3*b + 2*i + 19 = 4*b, 0 = 5*b - 4*i - 65. Solve 3*z - 1 = -h - 6, 5*z + b = -c*h for z. -1 Let a = -26 + 39. Let s = a - 12. Let y = -8 - -10. Solve s = -l + y*h, 4*h - 3 = -l - 10 for l. -3 Let a(s) be the second derivative of -s**5/20 + 5*s**4/12 + s**3 + 24*s. Let h be a(6). Solve h = q - 1, 3*d + 2 + 3 = 2*q for d. -1 Let u(x) = x**2 - x - 1. Let s(f) = -17*f + 35. Let g(c) = s(c) + u(c). Let p be g(16). Solve 3*o + 5 = -4*j - p*o, 2*j - 2*o = -16 for j. -5 Suppose -3*u = -5*u + 4. Suppose 18*g = 5*g + 65. Solve 3*b - 5*m - 1 = g, -4 = -u*b + 5*m for b. 2 Suppose 5*s - s = 96. Let i be ((-42)/63)/((-1)/s). Solve -4*h + 3*a = -a - i, a + 6 = -h for h. -1 Suppose t = 12 - 11. Let o be (-45)/35 + t - (-60)/14. Solve o*n + 20 = -4*k, -2*n + 3*n - 20 = 4*k for k. -5 Suppose b - 18 + 2 = 0. Suppose 10*a - b*a + 36 = 0. Solve 0 = -2*k - 6, -a*v + 2*v - 24 = 4*k for v. -3 Let b(v) = v**2 - 28*v - 55. Let n be b(30). Solve n*g - 19 = p, 2*p + g + 4 = -1 for p. -4 Let l = -882 + 887. Let f be (4/(-2) - -2)/(-2). Suppose -5*q + 141 = -c - 3*c, f = -4*q + 2*c + 108. Solve q = -4*n + k, -l*n + n - 35 = -3*k for n. -5 Let x(q) = -q**2 + 17*q + 113. Let f be x(22). Solve -5*l = -2*h - 2 - 9, -f*h + 4*l = 6 for h. 2 Let r(l) = 17*l - 119. Let v be r(8). Solve 4*c + 5*h = 4*h - 3, c - 3*h = -v for c. -2 Suppose -2*r + r = 0. Suppose r*x + 18 = x. Let c = 31 - x. Solve v - 2 = 5*b + c, -v = 5*b + 25 for v. -5 Suppose 0 = -3*g - 9, -23*b = -19*b + 3*g - 3. Solve 0 = b*y + 3*o + 10 + 2, -2*o - 6 = 0 for y. -1 Suppose -5*b + 20 = -4*b. Solve -4*x = b - 8, 3*x + 9 = 2*d for d. 0 Let r = 108 + -106. Solve -r*a - k - 15 = 2*a, k = 4*a + 17 for a. -4 Let u(c) = -c + 7. Let j be (-15 + 0)/5*(-4)/6. Let r be u(j). Solve 0 = 3*d - r*d, g + 2 = -2*d for g. -2 Let f(b) = 3*b**2 + b - 3. Let m be f(3). Solve -4*z - 14 = 3*u, 5*z = -u + 2*u - m for z. -5 Let m = 56 + -51. Suppose 12 = 4*k - 5*o, 3*k - m*o = -2*o + 9. Solve -3*q - 4 = -4*q - t, k*t = 0 for q. 4 Let y be (-56)/(-24) + (-2 - (-10)/6). Solve 0*u = -3*u + 2*w - 4, -u + y*w = 8 for u. 2 Suppose 42 = -14*m + 28*m. Solve 3*b = -3*g + 5*g - m, -3*b = g - 6 for g. 3 Let q(g) = 20*g**2 - g - 1. Suppose -11 = 6*p - 17. Let x be q(p). Solve 4*b - 3*f = -f + 20, x = 2*b - 3*f for b. 3 Suppose -5*j - 5*b + 25 = 0, 2*j - b - 4 = 6. Let x = j - 5. Suppose -4*t + v + 12 = 0, v + 20 = t + 5*v. Solve x = 3*h - 5*h + 2, 2*h = -t*y + 6 for y. 1 Let q be 290/(-15) + (-2)/(-6). Let h = q - -22. Solve -h*w - w + 2*c = 26, -w + 21 = 5*c for w. -4 Let q(u) = -u**2 - 9*u + 5. Let s be q(-9). Solve -c - 4*c = s*w + 5, 3*w + 3 = -2*c for c. 0 Suppose -52*r - 44 + 148 = 0. Solve -r*i - 8 = -0*c + 4*c, 0 = -3*i + 3*c - 12 for i. -4 Let n = -8 + 3. Let q = -2 - n. Suppose q - 2 = m. Solve -r + m = -2*l - 0*r, 0 = -l + r - 1 for l. 0 Suppose -4*q = -8*q. Suppose 0*f + f - 2 = q. Solve 5*x - f*j + 35 = 0, -6 = -x + 4*j - 31 for x. -5 Let u = -26 - -19. Let y = 10 + u. Solve 0 = 2*v + 4*o + 10, -1 = 5*v - 5*o + y*o for v. -1 Let f(j) = -j - 9. Let u be f(-12). Let m(s) = -2 - u*s**2 - 7*s + 2*s + s**3 + 5*s**2. Let i be m(-3). Solve 3*k - 4*v = -5, v + i + 6 = -3*k for k. -3 Suppose 5*t + 5 = 0, -k = -0*k - 4*t - 16. Suppose -3*a + 19 = 5*q, 3*a + 2*q - 1 = 4*a. Suppose -2*s = -a - 5. Solve 4*h = z - 4*z, 0 = -s*h - k for z. 4 Let a = 96 + -50. Let n be -43*(-2)/4 - a/92. Solve -f - n = -7*o + 3*o, -2*f - 2 = 0 for o. 5 Let q = 70 + -66. Solve -r - 4*s + 11 = 0, q + 7 = 4*r + 5*s for r. -1 Let a be 1 + ((-4)/32 - 50/(-16)). Solve 4*x + a = 4*d, 6*x + 5*d + 45 = x for x. -5 Let s(t) = 2*t**3 + 7*t**2 + 19*t + 57. Let z be s(-3). Solve -3*c - 5*j - 19 = -z*j, c - 2*j = -7 for c. -5 Suppose -31 = 2*m - 7. Let t = -24 - m. Let f be -6*(t/(-8) + -2). Solve -3*b - r - f = 0, 2*r + 2 = -3*b - 1 for b. -1 Let z = -13 + 29. Let m(c) = -z - c + 0*c + 8. Let h be m(-12). Solve 2*w - 5*f + 21 = 0, -3*f + 4*f = h*w + 15 for w. -3 Let n(f) = f**2 - 4*f + 0*f**2 - 9*f + 11 - 3. Let v be n(15). Let z = 60 - v. Solve 5*x - 6 = -w, -3*w + 5*x - z = -0*x for w. -4 Let f(m) be the third derivative of -m**6/120 + m**4/8 - m**3 + 8*m**2. Let x be f(-3). Solve -3*h = 5*t, -t - 4*h - x = -h for t. 3 Suppose -92 = -3*s - 62. Solve 2*z = 2*y - 7*y + s, -5*y = z - 5 for z. 5 Let l = -38 + 51. Solve 3*j = 4*x + j + 2, -2*x + 5*j - l = 0 for x. 1 Suppose -4*z = -3*z - 2. Let a be -1*z*(45/(-10) - -3). Let u(d) = -d**2 - 5*d - 1. Let q be u(-4). Solve q*y + 3*m = a, 4*m + 2 + 4 = y for y. 2 Suppose -g - 5*o + 5 = 0, -5*o + 10*o - 5 = g. Solve 20 = -4*w, g*w - w = -f + 8 for f. 3 Suppose 0 = v - 9 + 1. Let z(o) be the third derivative of -o**4/24 + 2*o**3 - 8*o**2. Let k be z(7). Solve -k*d = -3*t - 9, d + 7 = v*t - 3*t for t. 2 Let i be 2/(-2*(-1)/(-8)). Let q(v) = v**2 + 7*v + 1. Let w be q(i). Let u be (1 - 0)*(w + -5). Solve -2 = 2*t - u*r, -3*t + r + 4 = 2*r for t. 1 Let b(t) = -2*t**3 - 45*t**2 - 23*t - 22. Let u be b(-22). Let j be (-7)/(14/4) - -7. Solve u = n - 5*a + 11, 5*a - 14 + j = -n for n. -1 Let w(z) = -z**3 - z**2 - z + 6. Let a = 1 - 1. Let c be w(a). Suppose t - c = -1. Solve -4*k = t*u - 4, -3*u - 5 = 5*k + 3 for u. 4 Suppose h + 2 - 11 = -2*v, -7*h + 27 = 5*v. Solve 5*d + a = 5*a - h, 5*a - 11 = 3*d for d. 3 Let o(w) = -w**3 + 15*w**2 + 13*w + 17. Let t be o(16). Let c = 31 + t. Solve 0 = 2*k - 2 - 4, c = 2*d + k - 11 for d. 4 Let i(q) = -q**3 + 3*q**2 + 2*q + 3. Let f be i(3). Let d be f*2*(-1)/(-2). Let y be 2/9 + 16/d. Solve -y*t - v - 5 = 0, -t - 3 = -2*v + 2 for t. -3 Suppose 81*p = 68*p + 52. Suppose 2*c + 0 = -4*f + 4, 2*c - 4*f = 12. Solve -c*m = -p*j, 2*m + 3*m = 2*j + 15 for j. 5 Let v(y) = 2*y**3 - 24*y**2 + 37*y - 165. Let k be v(11). Let c be ((-6)/(-4))/((-6)/(-8)). Solve 5*h - g - 11 = k, -c - 6 = -4*h + g for h. 3 Suppose 78*l = 81*l - 9. Solve -5*h = o + l - 4, -h + 5 = -o for h. 1 Let u(b) = b**3 - 7*b**2 + 42*b - 212. Let m be u(6). Solve s - 11 = 5*f, 2*f - 3*s = -m*s - 10 for f. -3 Suppose 6*g - 2*g - 16 = 0. Let h be (2/g)/(5/30). Let d = -108 + 129. Solve -2*c + d = h*a, -4*a - 1 + 24 = c for a. 5 Let a(u) = u**3 - 6*u**2 + 3. Suppose -2*m + 18 = m. Let q be a(m). Let n = -128 + 130. Solve 0 = 2*s + o - 3, -q*o + 29 = -4*s + n*o for s. -1 Let f(n) = n**2 + 2*n - 4. Let i(b) = -b**2 - 16*b - 13. Let x be i(-15). Let y be f(x). Solve -4*p - 18 = 4*l - 54, -y*l + 8 = -3*p for p. 4 Let u = -50 + 66. Suppose -5*v + 4*d + 6 = 0, v - 15 + u = 3*d. Solve -4*b + 3*y + 28 = 0, 0 = 4*b - v*b - y - 12 for b. 4 Let a(y) = -2*y - 2. Suppose 0 = 3*s + s - 16. Suppose s = 4*w + 20. Let d be a(w). Solve -3*v - 19 = 5*x, -2 = -3*v - 2*x - d for v. 2 Let a(y) = -50*y + 55. Let x be a(1). Solve c + 2*t = 1, -10*t - x = -5*c - 8*t for c. 1 Let o = 46 + -6. Let a = 43 - o. Solve 0 = -d - 3*f - 5, 0 = a*d - 7*d - 2*f for d. 1 Let y(q) = -19*q + 103. Let x be y(5). Solve 0 = 4*s - 3*s + i - 2, -x = -s + i for s. 5 Let p = -16 - -21. Let c(q) = -2*q - 7 - 2*q + p*q. Let y be c(11). Solve -3*h - 2*h = -y*i - 12, -4*i - h = 12 for i. -3 Suppose 7*g = 5*g + 10. Suppose -n + 55 = 10*n. Solve 0*z - n*o = -z + 24, g*z = o for z. -1 Let c = 26 - 17. Let x = 11 - c. Suppose 0 - x = -g. Solve -t - g*i = t, 2 = -2*t - i for t. -2 Let c = 24 - 21. Suppose d - 9 = -o, -c*d - 2*o + 26 = 4. Solve 4*x - 4*u - 8 = 0, -d*u = -2*x + u + 16 for x. -2 Suppose -2*f = -8*n + 7*n - 19, -3*f = -3*n - 21. Solve -2*m + 3*j - f = 7*j, -2*m + 3*j + 16 = 0 for m. 2 Let a = -2 + 2. Suppose 33*w - 249 + 150 = 0. Solve 4*x + w*p + 9 = a, -5*x + 5*p - p - 19 = 0 for x. -3 Let f(c) = 16*c + 117. Let o be f(-7). Solve -v + 5 = -o*y - 1, -24 = 2*y + 5*v for y. -2 Let k(n) = -n**2 + 8*n - 15 - 7*n - 10*n. Let x be k(-6). Solve 5*g - 3*f = -8, x*g + 7 = -2*g + 2*f for g. -1 Let p(k) = k**2 + 6*k + 5. Let n be p(-5). Let t(c) = -23*c - 90. Let q be t(-4). Suppose n*j = j - q. Solve r - j*r = -5*g - 12, 4*r = 4*g + 16 for g. -2 Suppose -47*p + 52*p - 15
{ "pile_set_name": "DM Mathematics" }
3)? False Let k = -16 + 31. Suppose r - 5 = k. Is 6/10 - (-968)/r a multiple of 15? False Let j = 52 + -45. Suppose 0 = j*r - 684 - 828. Is r a multiple of 12? True Let q = 86 + 596. Is q a multiple of 62? True Is (3 - 66/42)/(4/5614) a multiple of 34? False Let v(y) = -10*y + 224. Does 6 divide v(6)? False Suppose 3771*j - 3776*j = -1080. Is j a multiple of 18? True Suppose 2746 - 506 = 8*g. Does 28 divide g? True Let s be (-6)/(8/(-12)*3) + -72. Let d = 108 + s. Does 21 divide d? False Let m(w) = -w**2 - 29*w - 94. Let c be m(-25). Let b = -158 + 226. Let j = b - c. Does 21 divide j? False Suppose 6*n = 4*n - 2. Let m(f) = 3*f**2 + 2*f + 1. Let q be m(n). Suppose q*w - 126 = -w. Does 21 divide w? True Let z(d) = 2*d + 30. Let o be z(-14). Suppose -o*y + 57 = 1. Does 28 divide y? True Let z(y) = y**3 - 6*y**2 - 2*y + 17. Let i be z(6). Suppose -3*o + 6*o = -2*q + 14, q + 45 = i*o. Is 2 a factor of o? True Let n(a) = -8*a - 28. Let x(m) = 25*m + 85. Let t(r) = -8*n(r) - 3*x(r). Does 5 divide t(-6)? True Let w(o) = -o**2 + 19*o - 24. Is w(15) even? True Suppose -266 = -10*z + 394. Does 11 divide z? True Let m(w) = -60*w - 89. Does 9 divide m(-5)? False Let p = 2 + 6. Let x(f) = 3*f + 10*f**2 - p*f**2 + 5*f + 2. Is x(-7) a multiple of 11? True Let y = 147 - 144. Suppose y*h - 172 = 248. Is h a multiple of 25? False Suppose 0 = -0*c + 5*c + 1590. Let o = c + 202. Let z = o - -164. Is 13 a factor of z? False Let i = 1474 + -890. Is 8 a factor of i? True Let w = -91 + 131. Is 8 a factor of w? True Let m(h) = 5*h**2 - 8*h. Suppose x - 12 = 3*x. Let q(s) = 9*s**2 - 15*s. Let t(c) = x*q(c) + 11*m(c). Is t(-7) a multiple of 11? False Suppose 34*t = 37*t - 15. Suppose 188 = -w + t*w. Is w a multiple of 9? False Let r(b) = -b**3 - 8*b**2 - 7*b + 6. Let y(q) = -q**3 + 2*q**2 - q + 5. Let k be y(3). Let t be r(k). Is 11 a factor of (-1)/(-3) + 262/t? True Let l(i) = -i**3 + 9*i**2 - 6*i + 4. Suppose -10*x = -6*x - 12. Let h be (-7 + x)/(-16)*28. Is l(h) a multiple of 20? True Does 16 divide (-11)/((-330)/7695) + 1/(-2)? True Suppose -k - 4*k + 2075 = 5*o, 2*o = k + 830. Suppose o = 3*m - 4*t, -t + 143 = m - 0. Is m a multiple of 30? False Let z(l) be the first derivative of l**6/360 + l**5/12 + 3*l**4/8 - l**3/3 - 5. Let k(y) be the third derivative of z(y). Is 8 a factor of k(-10)? False Let j = 6 + -3. Suppose 0 = -10*k + 15*k. Suppose q + 0*q - j = k. Is 3 a factor of q? True Let j(k) = 5*k + 10. Let x be j(-5). Does 11 divide ((-176)/(-10))/((-3)/x)? True Is ((-72)/(-10))/(14/35) a multiple of 2? True Suppose 2*x - 4 = 3*p + 13, 0 = -2*x - 3*p + 47. Suppose x*q = 11*q. Suppose 0 = v - 5*h - 1, h + 21 = v - q*h. Does 11 divide v? False Let d(l) = -8*l + 3. Let s be (-20)/6 + 46/(-69). Is 7 a factor of d(s)? True Let s = -235 - -261. Is s a multiple of 26? True Let i = -11 - -7. Let t(u) = u**2 + u - 2. Let l be t(3). Is 2 a factor of ((-30)/25)/(i/l)? False Let h be (5 - (-3 - -9))*(-141 + 0). Suppose 5*o = -2*b + h, 0 = b + 2*o - 60 - 9. Is 21 a factor of b? True Let c(m) = 2*m**3 + 20*m**2 - 2*m + 8. Let z(h) = h**3 + 10*h**2 - h + 4. Let x(j) = -6*c(j) + 13*z(j). Does 15 divide x(-6)? False Does 18 divide (-4)/18 - 16460/(-36)? False Let t be (29/(-3))/((-6)/18). Suppose 4*l - t = 39. Is 5 a factor of l? False Does 3 divide ((-5)/20)/((-37)/199652)? False Let i be 1 - (1/(-1) - -2). Suppose -5*y + i*y = -430. Is 6/27 + y/18 even? False Let k = -1735 - -1122. Let r = k - -906. Suppose 7*p = 1 + r. Is 22 a factor of p? False Suppose 4*c + 180 = -4*i, -i + 2*c - 60 = -0*i. Let b = i + 62. Is b even? True Suppose -20 = g - 6*g. Let c be (g - 1 - -48)*-1. Let a = 83 + c. Is 12 a factor of a? False Let l = 55 + -51. Suppose z - 2*w - 14 = 0, 0 = 4*z - l*w + 41 - 113. Is 3 a factor of z? False Let j(n) = -3*n + 2. Let i be j(-8). Suppose -l = l + i. Let z = l - -20. Does 4 divide z? False Let w = 397 - 192. Suppose -204*z - 26 = -w*z. Does 13 divide z? True Let f(x) = x**3 - 1 - 5*x**2 + 10 - 2*x**2 - 5*x. Let j be f(8). Is 29 a factor of 963/33 + (-6)/j? True Suppose 6*s + 8 - 128 = 0. Suppose 1844 = -s*b + 4784. Is b a multiple of 7? True Let o be 4 + (1 + -2)*1. Suppose 4*x - 5*x - 2*c = -18, 4*c - 44 = -o*x. Does 2 divide x? True Is (28/(-56))/((-51322)/(-17108) + -3) a multiple of 28? False Suppose -2*w + 6*w - 32 = 0. Suppose -105 = w*u - 11*u. Does 12 divide u? False Suppose 3*o - 6 - 3 = 0. Suppose 6*g - 51 = o*g. Suppose g = i - 10. Is i a multiple of 13? False Let b(x) = -2*x - 45. Let m be b(-24). Is 0 + 1/m + 624/18 a multiple of 5? True Suppose -3*h = -79 + 244. Let x = h - -86. Let s = x - 15. Is 6 a factor of s? False Let q be 44/(-33)*(-3)/(-2). Let x be (-2)/(-2)*(-119 - q). Is 6 a factor of ((-4)/12)/(3/x)? False Suppose -3*g = -6*g - 153. Let q = -19 - g. Suppose -c + 12 + 26 = 3*a, -3*a = -2*c - q. Does 12 divide a? True Suppose -21040 = -33*h + 13*h. Does 55 divide h? False Let s = 12 + -21. Let j = s - -12. Suppose -2*h + 74 = 2*p, 0 = j*p - h - 111 - 16. Does 11 divide p? False Let r = -1524 + 1566. Is r a multiple of 42? True Let a(f) = -163*f + 1. Let n be a(-1). Suppose -n = -4*t + 260. Does 15 divide t/6*(-6)/(-2)? False Suppose -2*n + m = -0*n + 300, 4*m - 445 = 3*n. Let c(f) = 10*f**2 + 4*f - 7. Let t be c(5). Let b = n + t. Does 33 divide b? False Let m = -55 + 29. Let d = 0 - m. Does 25 divide d? False Suppose -4*j - 2*v + 133 = -977, -3*j + 2*v + 822 = 0. Does 6 divide j? True Let y(j) = -2*j**3 + 6*j**2 + 3. Let o be y(3). Let s(h) = h**2 + 5*h + 4. Let n be s(-4). Suppose 5*w - o*w - 138 = n. Is w a multiple of 17? False Is (10074/24)/1 - 1/(-4) a multiple of 20? True Suppose -3*t + 6 = 2*k - 5*t, -k + 4*t + 18 = 0. Let h be k/(-3)*(-30)/20. Is 48/(-16)*h*11 a multiple of 5? False Suppose 32 - 522 = -3*q + 2*x, 810 = 5*q - 2*x. Is q a multiple of 8? True Let k(j) = -99*j - 78. Let f(u) = -496*u - 392. Let r(y) = -3*f(y) + 16*k(y). Is 51 a factor of r(-5)? True Suppose 0 = -2*g - 4*o + 30, -2*o + 0 = 6. Suppose 4*y + g = 5. Let s(t) = -t**2 - 5*t - 1. Is s(y) a multiple of 3? True Let j be -94*(3 + 3 + -5)/1. Let s = 156 + j. Is s a multiple of 10? False Let m = -19 - -28. Let y be (4 + (-20)/6)*m. Suppose -v + 0*v = -y. Is v a multiple of 2? True Let c(u) = 5*u - 14. Let l(t) = -2*t + 7. Let f(i) = 4*c(i) + 9*l(i). Let r be f(4). Suppose -4*b + 75 - r = 0. Is b a multiple of 12? False Let a(i) = i**2 - 12*i - 18. Let b be a(16). Let m = 82 - b. Is 18 a factor of m? True Suppose 3*y + 21*r - 584 = 16*r, y = -4*r + 190. Is y a multiple of 6? True Suppose -6*l = -9*l + 210. Suppose -23*f + l = -22*f. Let n = 142 - f. Does 18 divide n? True Let k(l) = -2*l**2 - 24*l + 44. Is 5 a factor of k(-12)? False Let x = -7 - -28. Let g(i) = -i**3 - 11*i**2 - 12*i - 15. Let s be g(-10). Let r = x - s. Is r a multiple of 4? True Let n = -120 + 218. Does 7 divide n? True Suppose 2*y - 142 = -0*y. Let l = -33 + 143. Let f = l - y. Is 8 a factor of f? False Suppose 78*v = 54*v + 5808. Is v a multiple of 7? False Let r(n) = -12*n - 1. Let x(q) = -11*q. Let j(m) = -2*r(m) + 3*x(m). Let b(k) = 8*k - 2. Let d(h) = 6*b(h) + 5*j(h). Is 6 a factor of d(9)? False Suppose -5*i = -3*p + 2*p + 83, i + 5*p + 1 = 0. Let y be (i/28)/(6/(-21)). Is 16 a factor of 0 + 1 + y + 36? False Let f(x) = x**2 + 22*x - 117. Is f(17) a multiple of 14? True Let g(x) = -189*x**3 + x + 2. Does 20 divide g(-1)? False Let o(h) = -2*h**2 - 8*h - 3. Let r be o(-3). Does 8 divide 5/5 + r + 17? False Suppose 0 = u - 4*n - 77, -3*u + 214 = 3*n + 2*n. Suppose -5*o = -6*o + u. Does 25 divide o? False Let t = 208 - 85. Suppose 2*j - t - 29 = 0. Does 19 divide j? True Let v = 1223 - 1106. Is 8 a factor of v? False Does 16 divide 1823 + (-1 - -7) + (-45 - -40)? True Let t = 42 - 37. Suppose -t*v - 2*i + 178 = -112, -115 = -2*v - i. Does 5 divide v? True Let y be 2/13 + (-2338)/(-13). Does 4 divide 1 + (y/(-3))/(-3)? False Suppose v + 15 = 2*z, 3*v + 5*z - 1 - 9 = 0. Let a = v - -7. Suppose 4*g + 0 = -5*w + 8, 4*w - 4 = -a*g. Does 2 divide g? True Let y = -441 + 752. Is y a multiple of 18? False Let f(z) = -z**3 + 6*z**2 + 4*z - 3. Let w be f(-3). Is 14 a factor of (2 - w/15)*-20? False Suppose 48*f - 1663 - 4673 = 0. Is 22 a factor of f? True Let y = 48 + -25. Suppose 0*l - 3*r
{ "pile_set_name": "DM Mathematics" }
fferentiate y(r) wrt r. 16*r**3 + 9*r**2 Let m(c) be the first derivative of c**3 + 0*c + 168 + 169/6*c**6 + 0*c**5 + 0*c**2 + 0*c**4. Find the third derivative of m(r) wrt r. 10140*r**2 Let h(j) be the third derivative of 1/24*j**4 + 0*j + 53/40*j**6 + 152*j**2 + 1 + 61/60*j**5 + 0*j**3. Find the third derivative of h(l) wrt l. 954 Let l(m) be the first derivative of 70 + 4*m**3 + 0*m**4 + 0*m**5 + 3/2*m**2 - 1/3*m**6 - 32*m. What is the second derivative of l(f) wrt f? -40*f**3 + 24 Let g(t) = 7*t**2 - 7*t + 13. Let d be g(3). Let a = 57 - d. Differentiate -2 + 4*s + 6*s + a*s - 3 wrt s. 12 Let n = 12049 - 12049. Let r(g) be the second derivative of 0*g**3 + 5/4*g**5 - 17*g + 14*g**2 + n + 0*g**4. What is the first derivative of r(v) wrt v? 75*v**2 Let c(j) = 482*j**4 + 4*j**2 + 1476. Let z(t) = -1446*t**4 - 13*t**2 - 4427. Let l(v) = 13*c(v) + 4*z(v). Find the first derivative of l(q) wrt q. 1928*q**3 Let n(j) = -648*j**2 + 261*j**2 - 757*j**2 - 304*j + 1384*j. Let p(b) = -88*b**2 + 83*b. Let y(k) = -3*n(k) + 40*p(k). Find the second derivative of y(c) wrt c. -176 Let b(q) = 2*q**3 + 9*q**2 - 5*q - 4. Let i be b(-5). Let k be ((-30)/i)/5 + 2/4. Find the third derivative of x**2 + 3*x**5 - 3*x**k + 22*x**2 wrt x. 180*x**2 Let m(k) be the second derivative of 69*k**8/8 - k**4/2 - 167*k**2/2 + 614*k - 2. What is the third derivative of m(r) wrt r? 57960*r**3 What is the derivative of -3*g - 89 - 371 + 200*g**2 + 13*g**2 + 5*g wrt g? 426*g + 2 Let v(i) = -195*i**2 + 103*i**2 + 101*i**2 + 89 + 5*i + 37*i**3. Let z(q) = -9*q**3 - 2*q**2 - q - 22. Let o(n) = -2*v(n) - 9*z(n). Differentiate o(r) wrt r. 21*r**2 - 1 Let x(f) be the second derivative of -f**3/6 - 5*f**2/2 - 12*f. Let z be x(-8). Find the third derivative of z*k**5 + 118*k**3 + 3*k**2 - 118*k**3 wrt k. 180*k**2 Let l(y) = 3026*y**2 - 3063*y + 88. Let z(t) = 3025*t**2 - 3065*t + 77. Let o(n) = 7*l(n) - 8*z(n). Find the second derivative of o(h) wrt h. -6036 Let b(t) be the third derivative of -347*t**7/35 - t**6/120 + 6941*t**4/24 - 1462*t**2 + 5*t. What is the second derivative of b(j) wrt j? -24984*j**2 - 6*j Let m be 5/30 - 123/(-18). Suppose m*y = 11*y - 8. What is the third derivative of 8*o**2 + 7*o**y + 13*o**3 + o**3 + 5*o**2 wrt o? 84 What is the third derivative of 3488 - 953*d**5 + 3480 + 73*d - 6968 + 15*d - 5*d**2 wrt d? -57180*d**2 Let y(l) = 46*l**3 + 57. Suppose 5*k + 14 = 6*k. Let o(f) = 31*f**3 - 6 - 6 + 36 + k. Let d(n) = 7*o(n) - 5*y(n). What is the first derivative of d(x) wrt x? -39*x**2 Let u(c) = -c**3 - 12*c**2 + 12*c - 842. Let l(j) = -2*j**3 - 22*j**2 + 24*j - 1686. Let n(y) = 6*l(y) - 11*u(y). Differentiate n(w) wrt w. -3*w**2 + 12 Differentiate 2478 - 194*a**4 - 192*a**4 - 197*a**4 + 581*a**4 + 905*a**2 wrt a. -8*a**3 + 1810*a Suppose -3*v = -4*d - 198, -7*v + 4*v + 198 = 2*d. What is the second derivative of 158*h**3 - 158*h**3 - 4*h - h**2 - 5 + v*h**4 wrt h? 792*h**2 - 2 Suppose b = m + 6*b - 26, 16 = 4*b. What is the second derivative of 11 - k + m*k + 16*k**5 - 6*k + 3*k**4 + 2*k wrt k? 320*k**3 + 36*k**2 Suppose -2*s - 8 = 4*l, 3*s - 2 + 5 = -3*l. Let j be (-1)/(s/30*5/(-2)). Let i(t) = t. Let r(b) = 3*b - 11. Let f(q) = j*i(q) - r(q). Differentiate f(k) wrt k. 3 Differentiate 130104*s - 64500*s - 71702*s - 2118 wrt s. -6098 Let i be (-1)/(3*4/(-396)). Suppose 4*p - 47 = i. What is the derivative of -122*d**2 - 9 + p*d**3 - 122*d**2 + 244*d**2 wrt d? 60*d**2 Let p(k) = -k**3 - k + 9. Let z(v) = 2298*v**3 - 42*v**2 - 10*v + 122. Let x(n) = -10*p(n) + z(n). Find the third derivative of x(a) wrt a. 13848 Let h(i) = 541*i**2 - 17*i + 4188. Let f(a) = -4*a**2 - 4*a - 1. Let q(c) = 3*f(c) - h(c). Find the first derivative of q(z) wrt z. -1106*z + 5 Let u(n) be the third derivative of 0*n + 35/6*n**3 + 15 - 3*n**2 + 41/12*n**4. What is the derivative of u(l) wrt l? 82 Let n = -42 - -46. Let x be n*(-2)/(-4) - 4 - -3. Differentiate -9*f**4 - 10*f**4 + x + 9*f**4 with respect to f. -40*f**3 Let m be ((-90)/(-72) - (-6)/(-8))*0. Let r(v) be the second derivative of 0*v**2 - 7/2*v**3 + 27*v - 3/4*v**4 + m. Find the second derivative of r(y) wrt y. -18 Let j(x) be the second derivative of -53*x**4/3 + 5*x**3/6 - 1601*x**2/2 + 2*x + 3763. What is the derivative of j(k) wrt k? -424*k + 5 Find the third derivative of 1804 - 1804 + 1131*n**3 - 172*n**2 + 2060*n**2 wrt n. 6786 Let u(g) be the second derivative of 337*g**8/7 - 1613*g**4/12 + 238*g + 4. Find the third derivative of u(y) wrt y. 323520*y**3 Let o(t) be the second derivative of -713*t**6/15 - 1599*t**2/2 - 313*t + 2. Find the first derivative of o(v) wrt v. -5704*v**3 Let i(y) be the second derivative of -922*y**6/15 - 755*y**2/2 + 610*y. Differentiate i(f) with respect to f. -7376*f**3 Let c(x) be the second derivative of 0*x**3 + 0*x**2 + 5/4*x**4 + 20*x - 2 - 13/10*x**5. Find the third derivative of c(y) wrt y. -156 Let c be (-105)/75 + 22*6/30. Let y(m) be the first derivative of 0*m**2 - 13 + 20/3*m**c + 0*m + 0*m**4 + 9/5*m**5. Find the third derivative of y(f) wrt f. 216*f Let t(h) = -905*h + 1682. Let c(q) = 1767*q - 3365. Let w(k) = 4*c(k) + 10*t(k). Find the first derivative of w(l) wrt l. -1982 Let j(w) = -7*w**3 - 3*w**2 + w + 2. Let y be j(-1). Find the third derivative of -607*m**5 + 32*m**2 + 747*m**y + 68*m**2 wrt m. 8400*m**2 Let x(p) = p + 3. Let a be x(-1). Find the second derivative of -16*y + 21*y + 40*y**a + 48*y wrt y. 80 Let o = 341 + -335. What is the third derivative of -o - k**4 + 7 - 16*k**4 + 34*k**2 wrt k? -408*k Suppose -3*m = -0*m - 3*z - 900, 4*z + 1501 = 5*m. Let c be 38/95 - 16/(-10). What is the second derivative of -14*x - 301 + m - 19*x**c wrt x? -38 Let i(p) = -p + 7. Let t be i(5). Let a = 4 - -2. Find the second derivative of a*j**2 + 0*j + 14*j**t + 5*j**2 + 38*j wrt j. 50 Suppose -23*g + 2*g = -1113. What is the second derivative of -4 + 18 - 5 + g*r**2 - 5 - 4*r wrt r? 106 Let k = -210 - -272. Find the third derivative of -25*c + 26 - 26 - k*c**5 + 2*c**2 wrt c. -3720*c**2 Let i(q) = 627 - 973 + 560 + 507*q. Let t(x) = 169*x + 72. Let p(m) = 6*i(m) - 17*t(m). Differentiate p(h) with respect to h. 169 Suppose 0 = 2*w - g - 53, -5*w + 9*w - 109 = g. What is the derivative of -258 - 3*b + 22*b + 10*b + 2*b**2 + w*b wrt b? 4*b + 57 Suppose -3*m = -10*m + 231. Let j be 1 + 0 + m + -30. Find the second derivative of -1742*k**4 - 6*k - 11*k + 1739*k**j wrt k. -36*k**2 Let d(a) be the third derivative of 41*a**6/120 - a**5/60 + 2422*a**3/3 - 1902*a**2. What is the first derivative of d(u) wrt u? 123*u**2 - 2*u Let r(q) be the third derivative of 31*q**4 - 296*q**3/3 - 37*q**2 - 9. Differentiate r(h) wrt h. 744 Suppose -26*f - 14*f + 120 = 0. Find the third derivative of 2*y**f - 61*y**2 + y + 4188*y**4 - 4155*y**4 - 2*y**3 wrt y. 792*y Let u(x) be the third derivative of 0*x + 1/60*x**5 + 1/20*x**6 - 6 - 2*x**2 + 11/6*x**4 + 0*x**3. What is the second derivative of u(j) wrt j? 36*j + 2 Let u be (-6)/(4/(-2)) + -41 + 41. Find the second derivative of 84 - 83 + 9*v**2 + 41*v - v**u + 3*v wrt v. -6*v + 18 What is the second derivative of 38 - 81082*v - 1821*v**5 - 37 - 355*v**5 + 80701*v wrt v? -43520*v**3 Let t(l) be the third derivative of -229*l**9/72 - l**5/20 + 17*l**4/8 + 2570*l**2. Find the third derivative of t(m) wrt m. -192360*m**3 Let j(q) be the third derivative of 253*q**7/210 + q**6/40 + q**5/60 - 3859*q**3/6 + 4720*q**2. Find the first derivative of j(t) wrt t. 1012*t**3 + 9*t**2 + 2*t Let t(v) be the second derivative of 29/20*v**5 - 1/12*v**4 + 0*v**2 - 20*v - 4/3*v**3 + 1. What is the third derivative of t(i) wrt i? 174 Let n(q) = -q**2 + 24*q + 25. Let j be n(25). Find the third derivative of 3*g**4 - g**4 - 3*g**4 - 25*g**2 + j*g**4 + 3*g**3 wrt g. -24*g + 18 What is the second derivative of 1085*x - 360*x**3 + 384*x**3 - 690*x**3 - 249*x wrt x? -3996*x Let y = -3596 - -3634. Let z(p) be the first derivative of 1/2*p**4 - 35*p - 5*p**3 - y + 0*p**2. What is the first derivative of z(c) wrt c? 6*c**2 - 30*c Find the second derivative of 226*h - 1 + 38*h**4 - 2 + 0*h**5 + 22*h**5 - 16*h**4 + 9*h**4 wrt h. 440*h**3 + 372*h**2 Let w = 58 + -47. Suppose 4*a + k = w, a + 4*k + 0*k + 16 = 0. Find the second derivative of 13*b**4 - 8*b**4 + 13*b**a - 13*b wr
{ "pile_set_name": "DM Mathematics" }
f 3/2*r**4 + 0*r + 0*r**3 + n*r**2 + 1. Find the second derivative of q(g) wrt g. 36*g Let t(k) = -881*k**2 - 2*k + 39. Let p(n) = -882*n**2 - 3*n + 28. Let v(x) = 4*p(x) - 3*t(x). What is the second derivative of v(y) wrt y? -1770 Suppose 171*i - 152*i = 0. Let x(s) be the second derivative of 0 + i*s**2 - 2*s - 11/12*s**4 - 11/6*s**3. Find the second derivative of x(b) wrt b. -22 Find the third derivative of 9*b**3 - 41*b**2 + 433*b**4 - 21*b**2 - 30*b**2 + 3*b**3 - 11*b**3 wrt b. 10392*b + 6 Differentiate -6*l**3 - 5 + 61*l**3 - 12*l**3 - 16 with respect to l. 129*l**2 Let i be -5 + 13/(26/24) + -2. Let y(z) be the second derivative of 1/5*z**i + 0*z**4 + 0*z**3 - 5*z + 0 + 2*z**2. What is the first derivative of y(g) wrt g? 12*g**2 Let p(d) be the first derivative of 11*d**4/12 + 5*d**3/2 + 12*d - 5. Let c(u) be the first derivative of p(u). Find the second derivative of c(b) wrt b. 22 Let d(s) = 13*s**3 - 9*s**2 - 5*s - 71. Let b(t) = 7*t**3 - 5*t**2 - 2*t - 35. Let x(l) = -5*b(l) + 2*d(l). Differentiate x(u) with respect to u. -27*u**2 + 14*u Let b be 0/(0 + 1 + -2). Suppose -2*r - 3 + 11 = b. What is the first derivative of 0*d**4 - 2 + 1 - 4*d**4 - d**r wrt d? -20*d**3 Differentiate 3*z**3 + 123*z**4 - 28*z**3 - 34 + 23*z**3 with respect to z. 492*z**3 - 6*z**2 Let x(d) be the third derivative of 0*d**3 + 0*d**4 + 0*d + 11/30*d**5 + 24*d**2 + 1/30*d**6 + 0. What is the third derivative of x(m) wrt m? 24 Let r = 185 + -183. Let t(z) be the first derivative of -1 + 1/2*z**r + 2*z. Find the first derivative of t(m) wrt m. 1 Let k(a) be the third derivative of 61*a**6/120 - a**5/3 - 6*a**2 + 5. Find the third derivative of k(o) wrt o. 366 Let a(w) = -w**3 + 2*w**2 + w. Let n be a(1). Find the first derivative of 133 + 0*d**n - 3*d**2 - 149 wrt d. -6*d Let d(j) = 370*j**3 + j**2 - 7*j + 6. Let h be d(1). Let p be -3*4/(8/(-6)). Differentiate h*k + p - 370*k - k**4 with respect to k. -4*k**3 Suppose 2*j - 15 = x, -3*x + 17 = 4*j + 2. Find the third derivative of -j*u**2 - 71*u**6 + u**2 + 41*u**6 wrt u. -3600*u**3 Let d(r) = 4*r**2 + r. Let m(y) = -44*y**2 - 11*y - 5. Let p(n) = -6*d(n) - m(n). What is the second derivative of p(t) wrt t? 40 Let w(q) be the third derivative of -q**7/105 + q**5/20 + 55*q**3/6 + q**2 - 15. Find the first derivative of w(j) wrt j. -8*j**3 + 6*j Let t(j) = j**2 + j + 1. Let z(h) = -4*h**2 + 6*h + 29. Suppose 36*m = 40*m + 4. Let d(n) = m*z(n) + 6*t(n). Differentiate d(s) wrt s. 20*s Let s(w) be the third derivative of -73*w**5/10 + 5*w**4 - w**3/3 + 286*w**2. What is the second derivative of s(u) wrt u? -876 Let p = 18 - 14. Find the first derivative of 9*g**4 - 2 - 1 - g**p wrt g. 32*g**3 Let o(x) = -50*x**3 - 14*x**2 + x + 148. Let n(s) = -33*s**3 - 10*s**2 + s + 99. Let i(t) = 7*n(t) - 5*o(t). What is the first derivative of i(m) wrt m? 57*m**2 + 2 Let x(q) be the second derivative of 323*q**4/12 + 166*q**2 + 72*q - 3. Differentiate x(w) with respect to w. 646*w Suppose 0 = 6*m - m - 0*m. Find the third derivative of m*q**6 + 33*q**2 + 12*q**6 + 4*q**6 wrt q. 1920*q**3 Let b(w) be the first derivative of -2*w**5/5 - 15*w**4 - 123*w**2/2 + 30. Find the second derivative of b(x) wrt x. -24*x**2 - 360*x Find the first derivative of 82*z**2 - 534 - 24*z**2 - 138 wrt z. 116*z Let s(a) be the first derivative of -164*a**5/5 - 2*a**2 + 16*a - 184. Find the second derivative of s(l) wrt l. -1968*l**2 Let c(k) = -k**3 - k + 1. Let q = -122 - -128. Let d(g) = 11*g**3 - 2*g**2 + 3*g - 6. Let m(z) = q*c(z) + d(z). What is the third derivative of m(a) wrt a? 30 Let w(l) be the second derivative of -23*l**6/15 - 145*l**3/6 + 77*l. Find the second derivative of w(x) wrt x. -552*x**2 Let p(u) be the first derivative of 743*u**6/6 - 51*u**2 + u - 437. Find the second derivative of p(d) wrt d. 14860*d**3 Suppose -3*h - 2 + 8 = 0. Let k = 5 - h. Find the third derivative of -k*v**2 + 5*v**3 - 4*v**3 - v**2 + 2*v**3 wrt v. 18 Find the third derivative of -65*l**2 - 45*l**2 + 34*l**2 - 87*l**3 - 16*l**2 wrt l. -522 Suppose -3*p - 4*b = -220, -3*p - 3*b = p - 284. Let t be 2*3/(-3) - (-13 + 9). What is the second derivative of -67*o - o**2 + p*o - o**t wrt o? -4 Let y = -12 - -16. What is the third derivative of 28*h**2 - y*h**4 - 15*h**4 - 26*h**2 wrt h? -456*h Find the third derivative of -66*c + 2*c**2 + 3*c**3 - 3*c**3 + 67*c - 415*c**4 wrt c. -9960*c Let h(k) = 6*k - 2. Let n(w) = -6*w + 1. Suppose 0 = -2*u + 24 - 16. Let p = -8 - -13. Let s(f) = p*n(f) + u*h(f). What is the first derivative of s(r) wrt r? -6 Let x = 1 - -8. Let n be (4/1)/(12/x). What is the second derivative of -3*r + 2*r - n*r + 12*r**2 wrt r? 24 Let w(p) be the third derivative of -7*p**6/20 - p**5/10 - 83*p**2. Find the third derivative of w(d) wrt d. -252 Let p(i) be the first derivative of -250*i**7/7 - 164*i**3 + 195. What is the third derivative of p(d) wrt d? -30000*d**3 Let t(z) be the first derivative of -19/2*z**4 + 0*z**3 - 21*z - 36 + 0*z**2. Differentiate t(g) wrt g. -114*g**2 Suppose 9*j = -0*j. Find the second derivative of 54*y - 3*y**4 + j*y**2 + 0*y**2 - 55*y wrt y. -36*y**2 What is the derivative of -71*l + 157*l - 79 - 74*l wrt l? 12 Let r(i) be the first derivative of -i**5/5 + 58*i**4 - i**3/3 - 358*i**2 - 764. Find the third derivative of r(w) wrt w. -24*w + 1392 What is the second derivative of -1 - 25179*d**2 + 25180*d**2 + 1 + 209*d + 39*d**5 wrt d? 780*d**3 + 2 What is the third derivative of 2*c - 30 + 40*c**2 - 17 - 9*c**3 + 49 - 2*c - 3*c**5 wrt c? -180*c**2 - 54 Let t(q) be the first derivative of 13*q**5/10 - 5*q**2/2 - 16*q + 5. Let v(b) be the first derivative of t(b). What is the first derivative of v(f) wrt f? 78*f**2 Let d(h) be the first derivative of -63*h**5/5 - 149*h**3/3 - 198. Find the third derivative of d(i) wrt i. -1512*i Let d(b) = -87*b**3 - 109*b**2 + 5*b - 5. Let o(r) = -44*r**3 - 55*r**2 + 3*r - 3. Let a(p) = -3*d(p) + 5*o(p). What is the third derivative of a(h) wrt h? 246 Suppose -n + 4*z = 4*n - 90, -3*n + 5*z + 41 = 0. Find the second derivative of -n*m**5 + 9*m**5 + 11*m + 18*m wrt m. -260*m**3 Let y(c) be the first derivative of 7*c**5/5 + c**4 + 5*c**3/3 - c - 12. Find the third derivative of y(u) wrt u. 168*u + 24 Suppose -d - 5*v + 9 - 1 = 0, -2*d - v + 7 = 0. Differentiate 3*j**d + 317*j - 317*j + 14 wrt j. 9*j**2 Let u(d) be the first derivative of 8*d**4 - d**3/3 - 369*d**2/2 + 290. What is the third derivative of u(o) wrt o? 192 Find the first derivative of -72*y - 42*y - 759 - 238*y + 61*y wrt y. -291 Suppose -3 = 5*p - 2*s - 21, -5*p + 4*s + 26 = 0. Let j be (-2)/((-3 + 1)/p). What is the second derivative of 91*w**2 - 91*w**j + w - 4*w**3 wrt w? -24*w Let l = -24 + 22. Let q(i) = -i. Let r be q(l). Find the third derivative of a**r - 2*a**3 - 3*a**2 + 4*a**2 wrt a. -12 Suppose b - 13 = -5*m, m - b = -0*m + 5. Differentiate -55 + 63 + v**m - 11*v**3 wrt v. -30*v**2 Suppose 6 = 9*y - 6*y. Let g be (14/(-6))/((-2)/48). Find the third derivative of -g*j**y + 61*j**2 - 7*j**3 + 3*j**3 wrt j. -24 Let h(c) be the first derivative of -176*c**5/5 - 27*c**3 + 142. What is the third derivative of h(s) wrt s? -4224*s Let j(k) be the first derivative of -11*k**5/30 - k**4/2 - 10*k**2 + 5. Let x(s) be the second derivative of j(s). What is the second derivative of x(n) wrt n? -44 Let x(u) be the first derivative of 0*u**5 + 0*u**2 + 0*u + 0*u**6 - 3 + 20/3*u**3 - 6*u**7 + 0*u**4. Find the third derivative of x(w) wrt w. -5040*w**3 Let b(g) be the first derivative of 17 + 4/3*g**3 + 0*g**2 + 8*g. Find the first derivative of b(p) wrt p. 8*p Suppose -2*s + 26 = 5*f - s, 2*f = -2*s + 4. What is the third derivative of -27*n**2 + n**2 + f*n**2 - 13*n**3 wrt n? -78 Find the second derivative of 77*s**2 - s - 107 + 518 - 212 wrt s. 154 Let p be (2 + -2 + 1)*4. What is the second derivative of 25*i + p*i**3 - 3*i**3 - 12*i wrt i? 6*i Let p be (-117)/26*4/(-9). What is the first derivative of -121 + 146 + p*y**4 + 2*y**4 wrt y? 16*y**3 Let f(k) be the first derivative of 2*k**6/15 + k**2/2 - 8*k - 4. Let p(d) be the first derivative of f(d). Differentiate p(v) with respect to v. 16*v**3 Let i(s) be the first derivative of -71*s**4/2 + 2*s**3/3 + 3*s + 24. Find the third derivative of i(v) wrt v. -852 Suppos
{ "pile_set_name": "DM Mathematics" }
Which is the nearest to v? (a) -3/7 (b) 1/8 (c) 3 b Let q be 2/20 - 0/1. Let m = -358/9 + 40. What is the closest to -1 in q, m, 0.2? q Let f = 7 - 8. Let d be 1 - f - (-6)/(-4). Let q = 0 - -4. Which is the nearest to -1? (a) d (b) q (c) -0.5 c Let q = -69 + 45. Let g = q - -22. Let p = -1265/2919 + 2/417. What is the nearest to -2 in p, g, 1? g Let r be 12/28*(-2)/(-3). Let v = -6 + 33/5. Which is the closest to r? (a) v (b) -0.02 (c) -4 b Let d = 2562/1595 + -2/319. Let k = 2 - d. Which is the nearest to -2/3? (a) 1 (b) k (c) 2 b Let s = -20/21 + 2/3. Let f = 0.05 - 4.05. Which is the closest to s? (a) -1/4 (b) f (c) -2 a Let d = -0.3 - 0.7. Let u be 1*(-15)/(0 + -3). Suppose 25 = -u*w - 0*w. Which is the closest to 0? (a) d (b) -3 (c) w a Let v = -5/2 - -2. Let o = -1/6 - 1/2. What is the closest to v in -0.5, o, 0.2? -0.5 Let l = 283/4 - 71. What is the nearest to -6 in l, 0, 0.2? l Let f = 14.5 - 14. Which is the nearest to 4? (a) -1/4 (b) -3 (c) f c Let d = 3/208 + -35/208. Which is the nearest to -1? (a) -2 (b) d (c) -1/4 c Let d = 0.02 + 0.08. Let q = -2.9 - d. Which is the nearest to -1? (a) 0.2 (b) q (c) 4 a Let k = -2.17 - -2.1. Let t = k + -0.13. Which is the nearest to 1/4? (a) t (b) 0.3 (c) -2 b Let f = -136.9 - -129. Let d = f - -8. What is the nearest to d in 0.3, 4, -4? 0.3 Let k = 8 + -4. Let i = 2.05 + -0.05. Which is the nearest to 0? (a) k (b) i (c) -0.4 c Let k(l) = l**3 + 12*l**2 + 11*l + 1. Let m be k(-11). What is the closest to m in 1, -3, -2/9? 1 Let f = 1.21 - 3.21. What is the nearest to -1/3 in -2/7, 1/3, f? -2/7 Let o = 0.9 - -0.1. Suppose -45 = 7*g - 4*g. Let h(z) = z + 17. Let t be h(g). Which is the closest to 1? (a) o (b) 4 (c) t a Let f be -2*(5/12)/(-5). Let z(w) = w**2 + w + 1. Let r be z(-2). Suppose h + 29 = 5*y, h - r*h - 2*y = -2. Which is the nearest to 0.1? (a) f (b) h (c) -1/6 a Let z be 3/7*-2 - 0. Let r = z + 4/21. Which is the closest to -1? (a) r (b) 4 (c) 3 a Let m = -21 + 25. Which is the closest to -1/4? (a) 5 (b) m (c) 0.1 c Let n be 2 - (1 + 0)/1. Let w be (-7)/(-12) + n/(-3). Which is the closest to 0.1? (a) 2 (b) w (c) 4 b Let q = 1 + -0.6. Let s be 5/((-70)/32) + 2. What is the closest to 2 in -0.4, q, s? q Let t = 30 - 47. Let w = t + 12. What is the closest to 0.2 in w, -6/7, 5/6? 5/6 Let u = -0.36 + 0.06. Let f(y) = y**3 - 3*y**2 - 5*y + 4. Let n be f(4). Which is the nearest to -1? (a) -0.1 (b) n (c) u c Let x be (-5 + 360/66)*2/5. Let n = -0.6 - -0.2. What is the nearest to x in -0.1, -1/2, n? -0.1 Let u = -29 - -25. Which is the nearest to -1? (a) -1/3 (b) 0.3 (c) u a Let f = -37 + 36.5. Let m = 1165/7657 - -1/589. Which is the closest to 1? (a) m (b) -4 (c) f a Let h = -74 + 293/4. What is the closest to 0.1 in h, -0.4, 0.3? 0.3 Let l = 0.02 - -0.08. Which is the closest to l? (a) -3 (b) 2 (c) -0.2 c Let i = 3.96 + 0.04. Let k = 0.6 + -0.3. Let t = 0.2 - k. What is the nearest to t in 0.3, 1, i? 0.3 Let p = -5.3 + 5. Let o = -3 - -8. Suppose -5*m + 19 = -3*v, -m + 4 = o*v - 11. What is the closest to 3 in m, p, -2/9? m Let u be (-3 + (-22)/(-6))*-3. Let n be (u/36)/1*-2. Which is the nearest to 2/3? (a) 2 (b) n (c) -2 b Suppose 4*v - 28 = 76. Let r be -2 + 3 + (-30)/v. Which is the nearest to 1? (a) -0.03 (b) 5 (c) r a Let i = -1304/7 + 186. What is the closest to -0.1 in 2, i, -1/10? -1/10 Let g be 34/9 - ((-12)/54 - 0). Which is the nearest to -0.2? (a) g (b) -2 (c) 8 b Let r = 3 - 5. Let n = r + 3. Let k = -11.79 - -11.29. Which is the closest to -2? (a) n (b) k (c) -0.4 b Let l = -41 - -41.1. Which is the closest to l? (a) 2/7 (b) -7 (c) 3 a Let j = 58 + -55. Let v be (-4)/(-6) + 5/(-15). Which is the closest to v? (a) 0.3 (b) 0 (c) j a Let j = 13.7 - 14. What is the nearest to 2/7 in -0.5, 5, j? j Let a be (3/15)/((-8)/10). Let g be (-4 - -2)/(-2)*7. Let l be 10/g - (0 - -1). What is the closest to -1 in a, -5, l? a Let o = 89/7 - 13. What is the closest to 1/4 in o, -1/4, -1? -1/4 Suppose -3*p + 48 = 12. Suppose 0*u - 4*u = p, -r + 14 = -4*u. Which is the closest to 0.1? (a) r (b) -1/4 (c) 0.4 c Let h be ((-3)/(-10))/(3 + (-5)/2). Which is the closest to 0.1? (a) 4 (b) h (c) 2/3 b Let z = -0.1 + 0.04. Let y = z - -0.06. Let l = 13 - 9. Which is the nearest to y? (a) -3 (b) -5 (c) l a Let a(b) = -b**2 - b + 3. Let p be a(-3). Let v = 0.1 - 0.1. Let l = 0.2 + -0.1. What is the nearest to l in v, -1, p? v Let u = -0.2 - -0.2. Let s = -13 + 9. Let i = -7 - s. What is the nearest to u in 3/2, i, -2/7? -2/7 Suppose -2*p + 5*m + 3 = 18, 2*p + 2*m - 6 = 0. Suppose -5*x - 10 = -2*t + 7, 0 = -5*x - 2*t - 33. Which is the closest to 1/3? (a) p (b) 0.3 (c) x b Let i = -8.97 - 0.03. Let b = i + 11. Let h = -0.2 - 0.3. What is the nearest to 0.1 in -5, h, b? h Let o = 1.7 + 0.3. Let t = -17 + 16.88. Let z = 0.08 - t. What is the closest to z in o, -3, 2/7? 2/7 Let i = 0.05 + -0.05. Let y = 36 - 32. What is the nearest to i in -0.2, y, 3/5? -0.2 Let q(a) = -23*a + 1. Let p be q(7). Let t = p + 1122/7. What is the closest to -0.1 in 0.2, t, 4? 0.2 Let p = 0.74 + 14.26. What is the nearest to -1 in 0.4, -2/7, p? -2/7 Let b = -35 + 31. What is the nearest to -1/3 in 0.3, b, -3/7? -3/7 Let h = -1.9 - -2. Let d(i) = -i**2 - i - 138. Let l be d(0). Let t = l - -968/7. Which is the closest to h? (a) t (b) -0.5 (c) 2 a Let z = -54 - -55. Let r(h) = -h**2 - 4*h - 2. Let j be r(-4). Which is the nearest to -0.2? (a) -4 (b) z (c) j b Let l(r) = 2*r**2 - r - 2. Let u be l(-2). Suppose -5*z + 33 - u = 0. Let g be (-26)/70 + 5/(-25). What is the closest to -1 in z, -1, g? -1 Let q = 3.05 - 0.05. What is the closest to q in -0.5, 0.2, -0.2? 0.2 Let z = -12 - -12.5. Which is the closest to 2/5? (a) -0.3 (b) z (c) 5 b Let w = 32.2 - 32. What is the closest to w in 0, 0.7, 2? 0 Let m be (4/10)/(1/5). Suppose 0 = -m*k - 3*k - 25. Let v = 5 + -3. What is the closest to -1 in k, v, -0.4? -0.4 Let i = 0.127 - -0.073. What is the nearest to i in 5, 1/6, -2? 1/6 Let i = 4 - 4.1. Let f = 0.15 + 0.35. Which is the closest to i? (a) 1/9 (b) f (c) -3 a Let m(o) = o + 7. Let t be m(-4). Suppose -1 - t = -f. Let x = 2 + -4. Which is the closest to 2/3? (a) x (b) f (c) -3 a Let t = -21.4 - 4.6. Let y = t + 21. What is the nearest to 3 in 0.03, y, 5? 5 Suppose 3*s - 4*t - 29 = 0, 0 = -2*s + t + 8 + 3. Let y = -0.2 + 0.4. Which is the closest to -0.1? (a) 0.1 (b) s (c) y a Let q = -0.5 + 5.5. Which is the nearest to -1? (a) -0.1 (b) q (c) 3 a Suppose 3*s - 25 = q, 0 = -q - q - 2. Let t be 3/(-17)*s/(-12). What is the nearest to 2 in 0, t, -0.4? t Let y(z) = z + 8. Let m be y(-6). Let u be (-2 - -1)*m/(-2). Let r = -793/5 + 158. What is the nearest to u in -0.5, r, -6/11? -0.5 Let w = 9 - 3. Let q = w + 0. What is the nearest to 1 in q, -2/5, 2/25? 2/25 Let l = 73 - 67. What is the nearest to -1 in 1/3, l, 2/5? 1/3 Let s = -32 - -36. Which is the nearest to -2/7? (a) 0.08 (b) -2/21 (c) s b Let p = -4.02 - -0.02. Let y be 2 + 1/(26/(-56)). Let w = 2 - 1.9. Which is the closest to w? (a) p (b) y (c) 0.4 b Let z be -7 + 7 + (-6)/2. Let j = -1 - z. Let h be j*(-22)/(-16) - 3. What is the closest to h in 1/2, -2, 0? 0 Let j = 1088/7 + -156. Which is the closest to -1? (a) 2 (b) j (c) -0.2 b Let u be ((6 + -4)/2)/4. Let o = 9 + -12. What is the closest to u in 2/21, o, 1? 2/21 Let k be (-3)/(-1 - 0/2). Suppose 2*x - x = 1. Let p be 4/(-40) - x/(-2). Which is the nearest to p? (a) -5 (b) -0.3 (c) k b Let v = 36 - 182/5. Which is the nearest to v? (a) -1 (b) 4 (c) 1 a Let a = -23958/7 - -3672. Let p = a + -249. What is the closest to 0 in p, -3, 4? p Let f = -4 + 2. Let k be (-710)/24*(-1)/(-35). Let v = k - -5/12. What is the nearest to -1 in f, -3, v? v Let x = -15 + 15. Which is the nearest to 0? (a) -1/3 (b) -0.3 (c) x c Let r = -51/5 + 209/20. Which is the closest to -0.2? (a) r (b) 0.1 (c) -2/15 c Let w = -16 - -50/3. Which is the closest to 2? (a) -1/2 (b) 0.4 (c) w c Let n = -3.8 + 4. Let l = n - -0.8. Let s = l + -5. Which is the closest to -1? (a) -5 (b) -0.2 (c) s b Let u = 76/315 + 2/45. Let t be ((-1)/(-3))/((-16)/6). Which is the nearest to u? (a) t (b) 2/7 (c) 0.2 b Let
{ "pile_set_name": "DM Mathematics" }
0000 Let a = 1202.4529 + -1149.361. Let l = a - 52.81. Round l to one decimal place. 0.3 Let v(r) = 196 + 134500000*r**3 + 5*r**2 - 5*r - r**2 - 195. Let b be v(1). Round b to the nearest one million. 135000000 Let d = -10.5 - 157.94. What is d rounded to the nearest 10? -170 Let p be 0*((-10)/15)/2 + 5. Suppose -5*c = -p*b + 26550000, 5310000 = 5*c - 6*c - 5*b. What is c rounded to the nearest one hundred thousand? -5300000 Let f = -202 + 381. Let c = 174.1 - f. Round c to 0 decimal places. -5 Suppose 10*r + 7*r - 14221820 = 103*r. What is r rounded to the nearest 1000? -165000 Suppose p - 2*i - 13264 = 0, 59*p + 5*i + 26527 = 61*p. Round p to the nearest 100. 13300 Let d(u) = -10*u**3 - 20*u**2 - 25*u - 1. Let p be d(-14). Suppose 3*h = -p - 89831. Round h to the nearest 1000. -38000 Let q = 72 - 68. Let h = q - 4.25. Let a = h - -0.2489. What is a rounded to 3 dps? -0.001 Let h = -25452193 + 60292193. Round h to the nearest one million. 35000000 Let t = 519 - 517. Suppose s = t*q - 4*s + 6632015, -13263994 = 4*q + 2*s. Round q to the nearest 100000. -3300000 Let y(m) = 234236*m**2 + 9*m + 3. Let a be y(-3). Round a to the nearest one hundred thousand. 2100000 Let f(l) = 332*l**2 - 9*l + 4. Let c be f(4). Suppose -c = -10*r + 4*r. Round r to the nearest 100. 900 Let l = -375 + 374.759. Let j = 1.177 + l. Round j to one dp. 0.9 Let u = 172.21 - 190.045. Round u to the nearest integer. -18 Let h = -5.7 - 0.8. Let t = h - 0.5. Let c = -6.985 - t. Round c to 2 dps. 0.02 Let m = -112.1 + 51.1. Let d = m - -60.8992. What is d rounded to three dps? -0.101 Let h = 108 + -5. Let g = h - 101.766. Round g to one decimal place. 1.2 Let c = 296.48 + -296.47983369. Round c to six dps. 0.000166 Let t = -387 + 387.000008324. Round t to six dps. 0.000008 Let f = -0.5578887 - -0.56075. Round f to 5 decimal places. 0.00286 Let z = 65 + -93. Let p = z + 28.08. Let f = -0.184 + p. What is f rounded to two dps? -0.1 Let b = 115.85 - 115.880005. Let a = -1.03 - -1. Let c = b - a. Round c to 5 decimal places. -0.00001 Let n = 0.146 + 0.006. Let a = 12.052 - n. Let y = -11.89953 + a. What is y rounded to 4 dps? 0.0005 Let t(y) = -y. Let r(v) = -6*v + 13. Let a(s) = -2*r(s) + 2*t(s). Let i be (-1)/(248/(-186) + (-62)/(-42)). Let m be a(i). What is m rounded to the nearest ten? -100 Let a = -204.1 + 204.099965648. What is a rounded to 7 dps? -0.0000344 Let j be 15*(15018/(-18) + 9 - -2). Round j to the nearest ten thousand. -10000 Let l = 6759.1847 - -1336.8058. Let n = -8089 + l. Let w = n - 7. What is w rounded to 3 dps? -0.01 Let y = 88229 - 88228.9999942611. What is y rounded to 7 decimal places? 0.0000057 Let p = -3175426532.95522888 - -3175426418. Let l = 0.04774112 - p. Let r = -115 + l. What is r rounded to 4 dps? 0.003 Suppose -4*i - 3420 = -3*q + 51239, 3*q + 21 = 0. Round i to the nearest ten thousand. -10000 Let n be -20 - 24330880/5 - (-8)/(-2). Round n to the nearest 100000. -4900000 Let p = 7967.8 - 7967.26601. What is p rounded to 1 dp? 0.5 Let o = -11.9537656 + 12.0156. Let v = 73.0527344 - o. Let t = v + -73. Round t to three dps. -0.009 Let h = -10104 + 10103.9933521. Let g = -0.0067 - h. What is g rounded to 5 decimal places? -0.00005 Let c = -136271.192 + 135763. Let h = -511 - c. Round h to one decimal place. -2.8 Let n = 69311.17 + -68999. Round n to the nearest ten. 310 Let i = -3610 + 10419. Let d(o) = -8190*o**2 - o. Let h be d(1). Let k = h - i. Round k to the nearest 10000. -20000 Let o = 0.335 - 151.335. Let x = -196.5 - o. What is x rounded to zero decimal places? -46 Let k = 0.348 + 17.352. Let f = 17 - k. Let m = f + -0.17. Round m to one dp. -0.9 Let m(z) = 4231*z + 61. Let r(c) = 8461*c + 123. Let n(y) = 7*m(y) - 4*r(y). Let f be n(5). Round f to the nearest one thousand. -21000 Suppose -x - 4*g = 5 + 7, 0 = x + g + 24. Let o be 1 + 149584/x - (-8)/28. Let c = o - -351. Round c to the nearest one thousand. -5000 Let i = 13.6 - 122.6. Let v = -306.66328687 + 197.6632856. Let w = v - i. Round w to 7 dps. -0.0000013 Let b = -120971321.9 - -6303186.9. Let f = -114668204.0000114 - b. Let t = f - -69. What is t rounded to 6 dps? -0.000011 Let p = -10218.23324 - -10218. Let m = 0.239 + p. What is m rounded to four dps? 0.0058 Let t = 724.29982 - 724.3. What is t rounded to three dps? 0 Let n = -3549.0001257 + 3549. What is n rounded to 4 dps? -0.0001 Let s(h) = h - 2. Let i be s(6). Suppose i*v - 5*u = -43625, 4*v - 13*u + 14*u = -43643. Round v to the nearest one thousand. -11000 Let g = 1366.3999993269 - 1366.4. What is g rounded to 7 decimal places? -0.0000007 Let n = -632 - -632.0896. Let r = 0.089595634 - n. What is r rounded to 6 dps? -0.000004 Let b(c) = -15*c**3 - c**2 - 2*c. Let i be b(-1). Suppose 4*d - i = -0. Suppose d*u + 5941456 = 20741456. Round u to the nearest 1000000. 4000000 Let u be (-2 - 62488/6)*(-19296)/12. Let k = 2 + 8. Suppose -5*f - u = -k*f. Round f to the nearest one hundred thousand. 3400000 Let u(g) = -761*g + 13660. Let m be u(62). Round m to the nearest one hundred. -33500 Suppose 5*n - 4*y = 376474976, -n - 5*y + 56239230 = -19055800. What is n rounded to the nearest 1000000? 75000000 Suppose g + 9 = -g - 3*d, 2*g + d = 1. Let m be (-72)/(-27) - 2/g. Suppose a - 2*x + 5*x = 541, -2*x = m*a - 1094. Round a to the nearest one hundred. 600 Let u = -623862908933021.0000024 - -623863115664932. Let o = u - 206732015. Let n = -104 - o. Round n to six decimal places. 0.000002 Let m = -2472.9988041 - -2473. Round m to 5 dps. 0.0012 Let n = 0.017543 + -0.01754205409. Round n to 7 decimal places. 0.0000009 Let p = -0.7043 - -0.761. Let j = p + -0.0568772. What is j rounded to 5 dps? -0.00018 Let u = -0.0205 + 0.2297. Let s = 0 - -0.2. Let c = u - s. Round c to three dps. 0.009 Let n = 391373.9999772033 - 391374. What is n rounded to seven dps? -0.0000228 Let d = -188.417 + 196.83. Let q = -8.409133 + d. Round q to three decimal places. 0.004 Let b = -55567.99897039 - -55568. What is b rounded to four dps? 0.001 Let n be 1/((-3)/6) + 20. Suppose -n*o - 881000 = -17*o. Round o to the nearest 100000. -900000 Let f = 0.085075 - 0.10552. Round f to four dps. -0.0204 Let p = -6928970063.00000218 + 6928969403. Let s = -660 - p. What is s rounded to seven decimal places? 0.0000022 Let v be (-80)/(-4) - (-1 + -1). Let m be 2 + 48/(-22) - (-4)/v. Suppose -3*q + 7*q + 400000 = m. Round q to the nearest 1000000. 0 Let t = 373 + -206. Let n = t + -166.99837. What is n rounded to four dps? 0.0016 Let j = -24649 - -24656. Let y(s) = 0*s**2 - 6*s**2 + 2*s + 3 + 7*s. Let g be y(j). What is g rounded to the nearest one hundred? -200 Let f = -20493.000004039 - -20493. Round f to 7 dps. -0.000004 Let g(r) = -152999*r**3 - r**2 - 10*r - 8. Suppose 12*o - 6 = 15*o. Let c be g(o). What is c rounded to the nearest 10000? 1220000 Let o = -268.9 + -46.8. Let g = 31.284 + 298.716. Let p = g + o. What is p rounded to the nearest ten? 10 Suppose -5*o = -5*t + 8082525, 140*o + 4*t - 1616520 = 141*o. Round o to the nearest 10000. -1620000 Let i = -701.4459094 + 709.27592. Let a = -7.83 + i. What is a rounded to 7 decimal places? 0.0000106 Let q = 723.874 - 724. Let i = q - -0.12599105. Round i to 6 decimal places. -0.000009 Let z = 0.8 + -3.8. Let r = z + 40. Let b = r + -36.999948. What is b rounded to five decimal places? 0.00005 Let g = -48 - -56. Let l be (30400/(-12))/(g/(-48)). Round l to the nearest 1000. 15000 Let m = -9813001707681.2999926 - -9813004016994. Let i = m - 2309315. Let k = i - -2.3. Round k to six dps. 0.000007 Let l(c) = 508319*c + 258. Suppose 0 = -2*z - m + 35, -4*z = -6*z + 5*m + 41. Let o be l(z). Round o to the nearest one hundred thousand. 9200000 Let r be 8572387/7 + 66/231. Suppose -23*b + r = 15392627. What is b rounded to the nearest 100000? -600000 Let r = -32.5 + 32.6952. Let x = -0.1133 + r. What is x rounded to two dps? 0.08 Let h = 59201.1653 - 59204. Round h to one dp. -2.8 Let i = 1575 - -110. Let u = i + -3885. What is u rounded to the nearest 10000? 0 Let w = 13.36 + -1.16. Let b = w - -3.2. Let m = b + -15.59. What is m rounded to one decimal place? -0.2 Let m = -2.71008 - -2.7. Let y = -666.99 + 667. Let v = m + y. Round v to 4 dps. -0.0001 Let w(c) = -308*c**2 + 47*c - 1. Let d be w(-3). Round d to t
{ "pile_set_name": "DM Mathematics" }
t b(p) = -p**2 - p + 3. Let g be b(4). Let x = g - -29. Let h = 16 - x. Calculate the least common multiple of h and 2. 4 Let k = 1231 - 951. What is the least common multiple of 35 and k? 280 Suppose -5*w + 10*w - 55 = 0. Suppose -3*i = -16 + 4. What is the smallest common multiple of i and w? 44 Let f be 6/(-30) - 128656/7170. Let l = f - 11/478. Calculate the common denominator of (-4)/(-32) + 1/(-4) and l. 24 Suppose -2*l = k - 14, -40 = -2*k - l - 0*l. Calculate the lowest common multiple of (-4)/(-1)*-21*-1 and k. 924 Suppose p - 31 + 10 = -5*i, i = -5*p + 9. What is the least common multiple of 2 and i? 4 Let x be -12*1/2*-2. Let m = x + -14. Let i = 2 - m. Calculate the least common multiple of 8 and i. 8 Let t(a) = -a**3 + 6*a**2 - 4*a + 4. Let j(r) = -r**2 + 4*r + 6. Let o be j(4). Let w(m) = -m + 16. What is the smallest common multiple of w(o) and t(4)? 20 Calculate the common denominator of -29/147 and ((-2)/(-36))/(252/(-621)). 1176 Let c be ((-20)/15)/((-2)/3). Suppose -16 = -c*i - 4. Let n = i - -6. What is the smallest common multiple of 2 and n? 12 Let m(g) = 22*g + 64. Let r(f) = -7*f - 21. Let z(u) = 2*m(u) + 7*r(u). What is the lowest common multiple of z(-5) and 88? 264 Let p = -52/25 + 691/200. Let h = 47361/7520 - -3/1504. Find the common denominator of h and p. 40 Let q(g) = -9*g + 2. Let r be q(2). Calculate the common denominator of 2/4 + r/(-10) and 1/1*97/(-4)*2. 10 Find the common denominator of -37/84 and 770/144 + (2 - 26 - -18). 504 Let d be ((-1491)/6 - -3) + 4. Let u = d - -1719/7. Find the common denominator of 33/26 and u. 182 Let a = -6135/16 + 384. Let g = -38020072/95 - -400206. Let h = 31/38 - g. What is the common denominator of h and a? 80 Let a(c) be the first derivative of c**3/3 - 5*c**2/2 + 4*c - 1. Let n be a(6). Let b = -2 + n. What is the smallest common multiple of 5 and b? 40 Find the common denominator of -13/12 and (-22)/((-55)/5) - 417/154. 924 Let v(s) = s - 12. Let d(l) be the second derivative of l**3/6 - 6*l**2 - 2*l. Let x(t) = 7*d(t) - 6*v(t). What is the lowest common multiple of 18 and x(16)? 36 Suppose 4*l + 2*k = 6*k + 72, -90 = -5*l + 2*k. Suppose -2 = 3*s - 8. Suppose 0*v - s*v = -12. Calculate the smallest common multiple of l and v. 18 Let c(q) = 65*q - 421. What is the smallest common multiple of c(8) and 99? 99 Let a(d) = 3*d**2 - 2*d. Let s be a(-2). Suppose 5*c - s = 4*c. Suppose -m = -q - c, -39 = -m - 2*q - 11. What is the lowest common multiple of m and 2? 20 Let r = 4/1295 - -145028/3885. Let c = r + -263/6. Find the common denominator of (-21)/42*67/(-3) and c. 6 Suppose 529*c - 528*c = 12. Calculate the lowest common multiple of 21 and c. 84 Let m = -110 - -69. Let a = 57 + m. Calculate the least common multiple of 2 and a. 16 Let i(k) = -3*k + 99. What is the least common multiple of i(28) and 579? 2895 Let a(t) = -t**2 + 12*t - 7. Let r(x) = 3*x - 12. Calculate the smallest common multiple of a(11) and r(6). 12 Let i(y) be the second derivative of y**3/2 - 4*y**2 + y. Let f = 32 + -24. Calculate the smallest common multiple of i(f) and 20. 80 Suppose -22*h + 23*h = 2. What is the lowest common multiple of 232 and h? 232 Find the common denominator of (-110)/(-30)*(-39)/180 and -5/132. 1980 Suppose -2*v - 6*v = 0. Find the common denominator of (4 + v)*(2 + 145/(-110)) and 101/8. 88 Let i = -20 - -14. Let m = 15 + i. Let q(x) = x**3 + 12*x**2 + 12*x + 15. What is the least common multiple of m and q(-11)? 36 Suppose 2*q + q = p - 14, 3*p - 30 = 3*q. Calculate the lowest common multiple of 9 and p. 72 Let p(j) = -32*j**3 - j**2 + 1. Let v be p(1). What is the common denominator of -51/2 and 6/v*-58 + 0? 8 Let k = -263 + 343. What is the least common multiple of 50 and k? 400 Calculate the lowest common multiple of 126 and (44/5)/(112/140). 1386 Let c(m) = 4*m - 13. Let x be c(4). Suppose 0 = 4*w + 2*r - 118, -x*w - 12 = 2*r - 103. Calculate the smallest common multiple of 30 and w. 270 Let i be (-4094)/9618 - (-4 - (-150)/42). Let f = i + 8875/19236. Calculate the common denominator of 23/24 and f. 168 Calculate the common denominator of -11/12 and -1 - ((-9)/(-10))/(231/805). 132 Calculate the least common multiple of 64 and (-1 + 4)/(60/320). 64 Let d(n) = n**3 + 14*n**2 + 1. Let p(a) = a**2 - 1. Let h(r) = d(r) - 5*p(r). What is the least common multiple of h(-9) and 10? 30 Let q = -12980/9 + 1444. Let n be (3 + -3737)/(7515/(-17)). Let f = -2/835 + n. Find the common denominator of q and f. 9 Let y(f) = f - 2. Suppose -4*k = -k - 27. Let d be y(k). Suppose -5*l = -p - d, 3*l = -2*l + 15. What is the smallest common multiple of 34 and p? 136 Let o(t) = 1686*t**2 - 3. Let d be o(2). Suppose f = -5*m - 5540, d = -2*f + 5*m - 4324. Let x = -33301/6 - f. Calculate the common denominator of 1/11 and x. 66 Let z(m) = -m**3 + 7*m**2 - 5*m - 4. Suppose 0 = 2*f - 6 - 26. What is the least common multiple of f and z(6)? 16 Find the common denominator of -111/28 and (-99)/198 + 41/272. 1904 Let d = -59/106 + -251/2120. Find the common denominator of d and 53/12. 120 Let t(u) = -4*u**3 + 2*u**2. Let m be t(-2). Let r = 126 - 100. Let i = m - r. Calculate the smallest common multiple of i and 10. 70 Let w = 286 + -237. Calculate the least common multiple of w and 2. 98 Let d = -94/921 + 1717/296562. Find the common denominator of d and -13/21. 966 Let q = -901 + 1021. What is the smallest common multiple of q and 45? 360 Let p be -2*582202/(-96) + 1. Let o = 12127 - p. What is the common denominator of 470/44*15/(-75) and o? 264 Suppose 2*v - 3*v = 21. Calculate the lowest common multiple of 16 and (0 + v/2)/(33/(-44)). 112 Let c(o) = 2*o**3 - 23*o**2 - 88*o + 2. Let i(b) = -b + 9. Calculate the least common multiple of i(6) and c(-3). 15 Let y = -214 - -234. Calculate the lowest common multiple of 2 and y. 20 Calculate the common denominator of (-2)/(-12)*2196/60 and (-459)/12*4/(-66). 110 Suppose 2*r - 5*n + 103 = 412, 0 = 4*r + 3*n - 579. Calculate the smallest common multiple of r and 21. 147 Let w = -1799 - -17869/10. Calculate the common denominator of w and (-25)/(-30)*258/20. 20 Let n(p) be the second derivative of 14*p**3/3 - p. Let z be n(-1). Let x = -14 - z. Calculate the lowest common multiple of 16 and x. 112 Suppose q - 2 = -0*q, 4*u = 3*q + 24226. Let l = -36215/6 + u. What is the common denominator of 103/20 - (-4)/8 and l? 60 Let c(s) = 9*s**3 - 2*s + 4. Let z be c(3). Suppose -2*m + 61 = -3*m + f, 0 = -4*m + f - z. What is the common denominator of 6/(-36) - (-458)/m and -49? 5 Suppose 9*a - 4*a + y = -13, -2*y - 16 = 5*a. Let t = -273769/18 + 15203. Calculate the common denominator of 1313/52*(-1)/a and t. 72 Find the common denominator of 1943/116*(-4)/9 and -107/450. 450 Let h be (-13 + 9)*23/(-4). Let j = h - 7. What is the smallest common multiple of (-12)/(-4)*1 - 3 - -20 and j? 80 Let l(s) = 4*s**2 - s + 6. Let x(u) = u**2 - 1. Let c(o) = l(o) - 3*x(o). Calculate the smallest common multiple of c(0) and 27. 27 Let m = 39721/16860 - 5/843. Find the common denominator of 41/38 and m. 380 Find the common denominator of (-1713)/(-272) - (-36)/(14 - 20) and 25/128. 2176 Let o = -470713/24 + 56585/3. Let r = 745 + o. What is the common denominator of r and 29/8? 8 Let q = 130 + -87. Find the common denominator of (-897)/135 + 2/(-15) and q/(-5) + 3/3. 45 Let f(w) = -w**3 + 6*w**2 + 7*w + 2. Let n be f(7). Suppose n*v - v = 0. What is the common denominator of -81/14 and v - (-2 - 46/12)? 42 Suppose 0 = 2*o - 7 - 23. Let x = 8369 - 8360. Calculate the least common multiple of x and o. 45 Let l = 85 + -108. Let g(m) = -m**2 - 21*m + 47. What is the smallest common multiple of g(l) and 5? 5 Suppose -2*t + 11 = -5. Suppose 6*h + 2 = 26. Calculate the smallest common multiple of t and h. 8 Suppose 3*d - 24 = 138. Let u = 55 - d. What is the lowest common multiple of u and 11? 11 Let s = 419 - 411. What is the lowest common multiple of s and 29? 232 Let p = -3 + 7. Suppose p*i - 2*i = 20. What is the lowest common multiple of i and 9 - 0 - (-10)/5? 110 Let j = -6/5363 + -380653/107260. Calculate the common denominator of j and (-213)/(-15)*(-10)/4. 20 Let b = 7/704 - -14601/704. Let q = -4/6317 - 840113/75804. Calculate the common denominator of q and b. 12
{ "pile_set_name": "DM Mathematics" }
+ 3*g + 1. Let n(m) = 4*i(m) + q(m). Let o be n(1). Which is the biggest value? (a) o (b) 1 (c) 1/6 a Let t = 2 - 0.1. Let r = 2.9 + -3. Let m = t - r. Which is the smallest value? (a) 1 (b) -4 (c) m b Suppose 5*m = -5 + 5. Which is the fourth biggest value? (a) 0.3 (b) 1 (c) m (d) 4 c Let b = -146 + 145.9. Let h = 8 + -5. What is the smallest value in -2, b, h? -2 Let q = 0.75 - 11.75. Which is the second smallest value? (a) 0.3 (b) q (c) -2 c Let o = 8.03 - 0.03. Let p = o - 9. Let v = 79/44 + -28/11. Which is the third biggest value? (a) p (b) v (c) 4/7 a Let v = 0.6 + 0.4. What is the second smallest value in v, -4/3, -4? -4/3 Let g be 3*((-9)/(-3))/27. Let a = 8 - 7.9. What is the third smallest value in -0.3, g, a? g Let q = -3.5 + 6.5. Which is the second smallest value? (a) -4 (b) -2/3 (c) q b Let i = 7.6 - 12.6. Which is the second smallest value? (a) -15/7 (b) 1/5 (c) i a Let r = 14.07 + -14. Let y = r - 3.07. Let l = -17.2 + 17. What is the third smallest value in y, 0.1, l? 0.1 Suppose 4*j = 5*j + 4. Let n = j + -1. Suppose -1 = 3*f - 7. What is the third smallest value in n, 3/4, f? f Let r = -25.89 + 26. Let m = -1.89 - r. What is the second smallest value in m, 0.3, -4? m Suppose 3*z = 2*o - 2, 0 = -3*o - z + 3*z + 8. What is the second smallest value in o, -3, 1? 1 Let r be ((-4)/(-10))/(-1 - 1). Which is the third biggest value? (a) r (b) -5 (c) 5 b Let r = -4 - -2. Let v(x) = x**2 - 5*x - 1. Let q be v(6). Which is the third smallest value? (a) r (b) q (c) 0.2 b Let u = 14 + -19. Which is the third smallest value? (a) -3 (b) u (c) -2/15 c Let t = -0.3 - -1.21. Let c = 0.09 + t. Suppose 20 = -2*q - 2*q. What is the third biggest value in q, -4, c? q Let g = -6 - -3. Let o be ((-8)/60)/(g/5). Let u = 0.9 - -0.1. What is the third smallest value in o, -2/11, u? u Let d = -1.6 + 1.1. Which is the third smallest value? (a) d (b) -5 (c) -2/9 c Let h = -0.1 - -0.3. Let q be 2/10 + 14322/(-35). Let z = q - -6951/17. What is the second biggest value in z, h, -4? z Let l = -149 - -149.3. What is the smallest value in l, -3, 0.5, -1? -3 Let s = 62 + -65. What is the second biggest value in s, 2, 4? 2 Let v be ((-32)/(-12) - 3)*-3. Let o = 9 + -9.1. Which is the smallest value? (a) v (b) o (c) -4 c Let s = -14/5 - -37/15. Which is the biggest value? (a) 4 (b) 0 (c) -3 (d) s a Let z = 107.6 - 108. Which is the fourth smallest value? (a) 1/4 (b) 1/5 (c) -21/4 (d) z a Let o be 6/(-33) - (-2 + (-2)/(-1)). Which is the biggest value? (a) -0.03 (b) 1 (c) -3/5 (d) o b Let p = -6009 - -6004.797. Let v = 0.003 + p. Let g = v - -0.2. Which is the third smallest value? (a) g (b) 5 (c) -0.5 b Suppose -x - 50 = -4*r + 4*x, 5*r - 44 = -3*x. Let v be (-6)/r - (-34)/(-10). Let n = -2 - -1.5. Which is the third biggest value? (a) v (b) n (c) 0.4 a Let v = 0.7 - 0.2. Which is the third smallest value? (a) 5 (b) -1/5 (c) v a Let q = -0.84 + 0.04. Let b = 0.5 + q. Let i be 40/(-18) + (0 - -2). What is the biggest value in 3, i, b? 3 Let w be (6 + -2)*(-21)/(-4). Suppose d + 3 = -0*d, -2*s = -4*d - 8. Let i be 1 - (w/6 + s). Which is the smallest value? (a) i (b) -1 (c) 2 b Let i be 88/28*-1 + 3. What is the smallest value in i, 3, -1/5? -1/5 Let k = -0.05 - 0.01. Let i = -4.06 - k. What is the third smallest value in 2, 0, i? 2 Let l = -22 - -22.13. Let n = 0.63 - l. Which is the biggest value? (a) n (b) 1/3 (c) 4 c Let m = 23/38 + -2/19. Which is the second smallest value? (a) m (b) -1 (c) 0.3 c Let d = 7.06 + -7. Let t = 0.56 - d. Which is the smallest value? (a) t (b) 1 (c) -0.5 c Let g be -21*(16/(-6) + 3). Let l(m) = m**3 + 7*m**2 - 3. Let o be l(g). Which is the third smallest value? (a) o (b) -0.3 (c) 1 c Let b be (1 - 1)*(-5)/5. Suppose -2*z = -b + 2. What is the second smallest value in 1, -2/5, z? -2/5 Let y = 24.98 + -23. Let h = y + 0.02. Let s = 21 + -21.3. Which is the second smallest value? (a) s (b) 5 (c) h c Let r = 29 - 29. What is the fourth smallest value in -2/17, -0.3, r, 0.1? 0.1 Let i = -9 + 2. Let w = i - -17. Let l = w - 14. Which is the biggest value? (a) 5 (b) -3 (c) l a Let w = -1.4 + 1.2. Let j = -7 - -3. What is the second biggest value in j, 3, w? w Let g = -3.7 + -0.3. Let s = g + 3.7. Which is the smallest value? (a) -0.5 (b) s (c) 0 a Let d(n) = n**3 - 9*n**2 - 9*n - 10. Let x be d(10). What is the biggest value in -1, x, 1? 1 Let o = -0.5 + 9.5. Let v = o + -14. Which is the second smallest value? (a) v (b) -1/6 (c) 1/2 b Suppose 0 = 3*j - 5*j + 6. Which is the third biggest value? (a) 4 (b) 0.2 (c) j (d) 0 b Suppose u - 5*n = -3, 3*n + 12 = -4*u - 0. What is the smallest value in 4, 3, u? u Let p = 0.2 + -5.2. What is the second smallest value in p, 3, 0.5? 0.5 Let n = 4 - 2. Suppose -2*x - 3*x = w, 2*x = -n*w + 8. What is the second biggest value in -4, 0.01, w? 0.01 Let b = -12 - -12.3. What is the second smallest value in -5, 1/7, b? 1/7 Let p = 0.0694 + 0.0306. Let z = -1.1 - -1. Let h = -0.2 - z. Which is the third smallest value? (a) p (b) -0.3 (c) h a Let s = -8 + 5. Let l = 36 + -179/5. What is the second biggest value in l, s, -5? s Let v = 1.4 - -0.6. Let d = -12 - -10. What is the biggest value in d, -1, v? v Let m = 14 + -22. Let v = -13 - m. Which is the third smallest value? (a) v (b) -0.1 (c) 0.1 c Let j be (4/20)/(2/6). Let d = 2 + -1.7. Let w = -0.58 + 0.18. Which is the smallest value? (a) d (b) w (c) j b Let d = -0.05 - -0.15. Let p = d - 3.1. What is the third biggest value in -1, -0.1, p? p Let n be (-255)/66*(-2)/28. Let j = n + -2/77. Which is the third smallest value? (a) -2 (b) j (c) 0.1 b Suppose -5*g - 16 = -g. What is the third biggest value in g, 2, 0.12? g Let u = -6 - 7. Let i = 15 + u. Which is the smallest value? (a) 2/3 (b) i (c) 3 a Let z = -0.061 - 0.139. Which is the second biggest value? (a) 0.07 (b) 5 (c) z a Suppose 2*o + 31 = 5*k, 4*k + 4*o + o = 5. Let d = 0.47 + 0.03. What is the third biggest value in 2, d, k? d Let g(q) = -q**3 - 11*q**2 - 10*q + 3. Let h be g(-10). Which is the second biggest value? (a) 4/3 (b) -3/7 (c) h (d) 0.2 a Let b be ((-18)/12)/((-3)/(-8)). Let g = 3.6 - 4. What is the third smallest value in 0.1, g, b? 0.1 Let g be (-3*3/63)/((-3)/(-9)). Which is the smallest value? (a) -1 (b) 0 (c) g (d) -0.5 a Let w be 24/(-45)*18/(-24). What is the second biggest value in w, 1, 2? 1 Let z = 2.6 + -5.71. Let h = z + 0.11. Let r = 0.3 + -0.2. What is the third smallest value in r, 5, h? 5 Let p = 55 + -55.2. What is the fourth biggest value in p, 4, 0, 3? p Let z = -8.117 + -0.083. Let w = -8 - z. Which is the third smallest value? (a) 3 (b) 0.4 (c) w a Let m be ((-8)/42)/(4/(-1212)). Let y = 58 - m. What is the biggest value in 0, y, 7? 7 Let k = 0.36 + 0.14. What is the second biggest value in 0.4, k, 4? k Let g = 77 - 79. Let f = -19/24 - -2/3. Which is the second smallest value? (a) g (b) -0.03 (c) f c Let v = -0.015 - 2.985. Which is the second smallest value? (a) -0.2 (b) -0.05 (c) v (d) 4 a Let k(r) = -r**3 + 3*r**2 + 6*r - 5. Let n be k(4). Suppose -14 = -n*u + 1. Which is the third smallest value? (a) -2/3 (b) u (c) -1/2 b Let g = 0.5 - 1. Let u = 1/12 + -4/3. Which is the third smallest value? (a) 0.5 (b) u (c) g a Let h = 78.9 + -79. Which is the biggest value? (a) h (b) -1/7 (c) 2/9 c Let i = -0.032 + 4.832. Let g = 5 - i. Which is the second biggest value? (a) -1 (b) g (c) -3 a Let o be (1 + 1)*(-1)/4. Let x(d) = -d**3 + 7*d**2 + 7*d + 11. Let k be x(8). Let p be (k/(-54))/((-1)/(-4)). What is the biggest value in p, 1, o? 1 Let r = 8 + -5. Which is the second smallest value? (a) 0.2 (b) 4 (c) r c Let q = -117 - -116.8. What is the second biggest value in -3, -1, -4, q? -1 Let r = -216 - -217. Which is the second smallest value? (a) 6/5 (b) r (c) 3 a Let p = 3 - 2. Let g(u) = u**2 + 6*u - 2. Let z be g(-6). Let r be 22/20 - (-3)/z. Which is the third smallest value? (a) 2/11 (b) r (c) p c Let j = -0.116 + 0.026. Which is the third biggest value? (a) -0.3 (b) -5 (c) j b Let b = -12.2 - -10.2. What is the third smallest value in -0.3, 1, b? 1 Let v = 0.3 + 2.7. Let j = -6.3 + 3.1. Let l = v + j. Which is
{ "pile_set_name": "DM Mathematics" }
/5, -3/5, b Let w be (-24)/(-10) + 0 + -2. Let n = 47.8 + -53. Let y = n + 5. Sort -5/6, y, w in descending order. w, y, -5/6 Let b = 2/7 - 31/84. Put -3, -0.4, b in descending order. b, -0.4, -3 Let x = -1/45405 - 13141/90537570. Let v = x + 173977/2991. Let r = -58 + v. Sort r, 5, 0. 0, r, 5 Suppose 4*q + 5*w + 10 = 0, -2*q - w + 7 = -3*q. Let l(t) = -t - 8. Let y be l(-4). Sort q, y, 2. q, y, 2 Let m = 0.07 + -5.07. Let x = 0.082 - 0.082. Sort m, x, 5 in ascending order. m, x, 5 Let i = -25 - -25. Suppose -c - 4*c = i. Put c, -5, 4 in descending order. 4, c, -5 Suppose -2*u - 7*u = -9. Put -2, 9, u in descending order. 9, u, -2 Let v = 85 + -70. Sort 0.4, v, -2/17 in ascending order. -2/17, 0.4, v Let f be (1/(-2))/((-2)/16). Suppose 18 = f*c + 2. Sort 2/11, -2, c in increasing order. -2, 2/11, c Let i(j) = -j**3 + 7*j**2 - 6*j. Let r be i(6). Suppose -3 + r = -s. Put 2, 4, s in descending order. 4, s, 2 Suppose 3*f = -2*f - 2*d - 15, 0 = -2*f - 2*d - 6. Let g be f/10*8/6. Let x be -3 + ((-324)/96)/((-2)/2). Sort g, -2, x in decreasing order. x, g, -2 Let k = -2 + -2. Let y = k + 7. Let s be 3 - ((-9)/(-2) + 0). Put s, 1/4, y in descending order. y, 1/4, s Suppose -4*u = 4*l - 24, -3*l - 5*u - 12 = -36. Let p be (-5)/l - 5/15. Suppose 4*y - 2 = -14. Sort p, -4, y in ascending order. -4, y, p Let j be 66/55*(-5)/(-2). Sort 5, 4, j, -7 in increasing order. -7, j, 4, 5 Suppose -3 - 12 = -3*u. Sort 4, 0, u, -5 in decreasing order. u, 4, 0, -5 Suppose a = -0*a. Let h = 0 - a. Sort 2, h, -5 in decreasing order. 2, h, -5 Let o = -0.7 - 0.3. Let n = -0.17 + -4.83. Let b = n + 7. Put b, o, 2/3 in ascending order. o, 2/3, b Let i = -36 - -110/3. Sort i, 5, 0.2, 0 in increasing order. 0, 0.2, i, 5 Suppose -5*h + 2*o + 4 = -52, 12 = -4*o. Suppose 2*a + h = -0*a. Put 2, a, -4 in decreasing order. 2, -4, a Let o = 19.1 + -18.6. Put -0.8, o, 4 in decreasing order. 4, o, -0.8 Let j(t) = 3 - 1 + 4*t**2 + t**3 + 0*t**2. Let d be j(-4). Suppose i = 2*f + 7, i - 4*i - 4*f - 29 = 0. Sort d, i, 0. i, 0, d Let p = -19.9 + 19. Let n = p + 0.5. Sort 0.1, -1/7, n in descending order. 0.1, -1/7, n Let g(z) = -z**3 - z**2 + 1. Let u = -7 - -8. Let h be g(u). Put -3, h, 3 in decreasing order. 3, h, -3 Let t be 57/(12/(-32)*-4). Sort 3, t, 1, 4. 1, 3, 4, t Let r be ((-14)/105)/(-2 - (-23)/10). Put r, -3/7, 1 in descending order. 1, -3/7, r Suppose 2*v = 2*i, 0*v = -v + 3*i - 8. Let o be 2/v - (-18)/(-4). Put 4, -3, o in decreasing order. 4, -3, o Let s = -245 - -2207/9. Let v = -544579 + 21236287/39. Let y = -176/3 - v. Sort s, y, 0.3. y, s, 0.3 Let m(i) = i**2 - 5*i + 2. Let t be m(5). Let v = 11/6 - 2. Sort -0.1, t, v in descending order. t, -0.1, v Let p = 3.9 + -6.9. Sort p, 1, 4, 0.4 in decreasing order. 4, 1, 0.4, p Suppose 9*y - 10*y + 20 = 0. Suppose -5*b + 2*f - y - 8 = 0, -b - 3*f + 8 = 0. Sort -5, 4, b in increasing order. -5, b, 4 Let g be 5 + -4 - (-2 + -7). Suppose 2*r = -3*s - g, -2*s - 4 = -s + r. Put s, -4, 1 in descending order. 1, s, -4 Let h = -1 + 1. Let z = 9 - 19. Let p = z - -9. Sort h, -2, p in increasing order. -2, p, h Suppose -2*z - 14 = 5*z. Sort 5, z, -4, -17 in decreasing order. 5, z, -4, -17 Suppose 0*t + 3*t + 4*o + 5 = 0, 47 = -5*t + 3*o. Let r(p) = p + 9. Let y be r(t). Let m = 10 - 6. Sort m, -2, y. -2, y, m Let p(s) = 13*s**2 + 20*s - 11. Let i(m) = 7*m**2 + 10*m - 6. Let a(c) = 11*i(c) - 6*p(c). Let z be a(-10). Put z, 2, -4 in increasing order. -4, z, 2 Let w = 5 - 4. Let r = -5 + w. Sort 0, r, 2 in ascending order. r, 0, 2 Let x(i) = -6*i - i**2 - 3 + 0*i + 0. Let n be x(-4). Let a be -1*((-6)/(-21) - 26/(-7)). Sort 0, a, n in descending order. n, 0, a Let q be (-4)/(-6)*(-5)/2. Let n be (-106)/(-22) + (-10)/(-55). Sort n, q, 0.1 in descending order. n, 0.1, q Let s be (-2)/6 - 31/(-3). Put 5, -2, s, -5 in descending order. s, 5, -2, -5 Suppose -4*l = -g - 3, -4*l - l + g = -5. Let u = 0.04 - -0.26. Let f(r) = r**3 - 5*r**2 + r - 5. Let x be f(5). Put x, u, l in decreasing order. l, u, x Let f(o) = 2*o + 1. Let g be f(2). Suppose -g*w + 1 = 2*l - 4, 4*l - 2*w + 26 = 0. Let v(i) = -i - 5. Let u be v(-6). Put l, u, 5 in descending order. 5, u, l Let n = 128 + -1662/13. Let u = 0.1 - 0.5. Let b = -0.06 - -0.06. Put u, n, b in ascending order. u, b, n Suppose -n - 3 = n - 3*m, 4*n + 2 = 2*m. Suppose 2*o = 3*s - n*o + 23, s + 5*o = 15. Sort 2, s, -1 in increasing order. s, -1, 2 Let p(n) = 2*n**3 - 11*n**2 + 7*n - 6. Let q be p(5). Put 5, -33, q in decreasing order. 5, q, -33 Suppose -2*d + 0 - 16 = -2*x, 3*d + 3*x = 0. Let u be 22/4 + 2/d. Let z be 1/(-3) + (-2)/3. Put z, 4, u in increasing order. z, 4, u Let r = 27 - 27.2. Let d = -0.3 - 1.7. Sort d, 4, r in decreasing order. 4, r, d Let t be -3*(-2)/(1 - 3). Suppose -p - 6 = 2*p. Let m be (-1)/4 - 3/(-4). Sort t, m, p. t, p, m Let g = -47 - -42. Put 0.03, -2, g in ascending order. g, -2, 0.03 Let k = 37 - 35. Sort k, -9, -5 in descending order. k, -5, -9 Suppose -2*w = 3*w - 20. Suppose -3*t + 14 = -h, -4*t - 23 = 2*h - 9*t. Put w, -3, h in descending order. w, h, -3 Let z(t) = 5*t. Let m be z(-1). Let q = m + 2. Sort -1/4, q, -2/3 in decreasing order. -1/4, -2/3, q Let d(p) = p. Let k(x) = -4*x. Let v(q) = -10*d(q) - 2*k(q). Let u be v(-1). Put u, -4, 3 in descending order. 3, u, -4 Let q = 1.5 - 2.5. Sort 5/6, q, -5. -5, q, 5/6 Let v = -1.79 - 0.21. Sort v, 5, 6. v, 5, 6 Let r = 3 - 1. Suppose -6*t + t + 33 = -r*j, 20 = 4*t. Suppose 2*h - 4 = 4*f, f - 1 = -4*h - 2. Sort -2, j, f in increasing order. j, -2, f Let b be -3 + 7 + 14/2. Suppose -2*u + 2*s = s - b, -5*s - 40 = -5*u. Sort -3, u, 0.04. -3, 0.04, u Let c = -42 + 37. Put -4, 0, c in descending order. 0, -4, c Let a be (-8)/(-12) + (-42)/9. Put 1, -3, 0, a in increasing order. a, -3, 0, 1 Let h(y) = -y**3 - 7*y**2 + 10*y + 12. Let a(b) = 2*b**3 + 14*b**2 - 20*b - 24. Let t(m) = -3*a(m) - 5*h(m). Let j be t(-8). Put -1, 4, j in increasing order. j, -1, 4 Suppose b = 3*k - 3, 5*b - 4*k + 4 = -0*k. Put -4, 3, b in increasing order. -4, b, 3 Suppose 4*h + 4 = 4*l, 0*l + h - 7 = -3*l. Let r be (-10)/(-20) - (-2)/(-4). Sort r, 5, l in decreasing order. 5, l, r Let l be (-116)/(-36) - 3*1. Let y be 1 + 1 - (-7)/(-3). Sort l, -0.2, y. y, -0.2, l Suppose i - 26 = 5*j + 4*i, -2*j - 2*i - 12 = 0. Let b be 2/(-4) + 14/44. Put j, -0.3, b in decreasing order. b, -0.3, j Let a = -4 + 5.5. Let b = -1.4 + a. Put b, 2, 0.2 in ascending order. b, 0.2, 2 Let d be 39/33 - 2/2. Let t = 19 + -18. Put -1, t, d in descending order. t, d, -1 Suppose -2*m - 7 + 3 = 0. Put -1, 0, m in descending order. 0, -1, m Let d = 3 - 3. Sort d, 2, -2. -2, d, 2 Let a = 83 - 86. Sort 5, a, 34. a, 5, 34 Let o = 0.23 + 1.07. Let x = o + -1.6. Put x, 4/3, -1/4 in increasing order. x, -1/4, 4/3 Let w = 185/8 - 23. Put w, 0.1, 13 in ascending order. 0.1, w, 13 Let d = 566 - 3964/7. Let m = -3/49 + 88/637. Sort d, 0, m in increasing order. d, 0, m Suppose -4*y = 4*f - 20, 0*f + f + 3*y - 9 = 0. Sort -5, f, -4, -3. -5, -4, -3, f Let o = 0.05 - -3.95. Let a = 1402 - 2753/2. Let d = a - 26. Sort o, 5, d. d, o, 5 Suppose -2*v - 10 = 0, 2*i = 5*i - 3*v - 3. Let p = 14 - -1. Suppose 0 = -0*d + 5*d - p. Put d, -5, i in increasing order. -5, i, d Suppose -10 = 2*w, -5*j - 12 + 62 = 4*w. Suppose -5*y + 6 = -j. Suppose -3*a = -3*o + 24, a = 8*o - y*o - 23. Put -2, -3, o in descending order. o, -2, -3 Let v = -491803/42 - -11709. Let p = 3/7 + v. Sort 0, 2/5, p. p, 0, 2/5 Suppose -4*d = -2*d - 2. Let a = -3 + d. Suppose -1 = -q + 2*r, 0*q = q + r - 1. Sort -4, a, q in ascending order. -4, a, q Suppose -4 = 6*s + 8. Put -5, -3, 5, s in descending order. 5, s, -3, -5 Suppose 0 = y - 6*y. Suppose 5*x - x - 3*u - 29 = 0, y = -5*x - u + 22. Put x, -5, -3 in descending order. x, -3, -5 Let w be (3*5)/((-3)/(-4)). Suppose 0 = -2*t + 8. Suppose -j = -4*q - 5, j + 3*j - w = t*q. Sort 4, q, -5 in increasing order. -5, q, 4 Let h(u) = 3*u**2 + 2*u - 2. Let w(d) = -4*d**2 - d + 3. Let f(q) = 3*h(q) + 2*w(q). Let b be f(-2). Sort -0.2, b, 4 in decreasing order. 4, -0.2, b Suppose -2*s - 5*b + 9 = 0, 3*b + 1 = 5*s - 6. Suppose -v + s = v. Put v, -4, -2 in descending order. v, -2, -4 Let p = 0.074 + 27.926. Sort -5, p, -0.5 in descending order. p, -0.5, -5 Suppose -2 = n + 2. Suppose -4 + 0
{ "pile_set_name": "DM Mathematics" }
iple of 15? True Let i(d) = 5*d**2 - 3*d - 4. Let b be i(4). Let t = 38 - b. Let j = -10 - t. Is 16 a factor of j? True Let r be ((-18)/(-5))/((-6)/(-60)). Suppose -4*i + 4*y + r = 0, 5*i + 2*y + 3 = 69. Is 6 a factor of i? True Suppose 0 = 2*y - 0 - 18. Suppose 0*q + y = 3*d + 3*q, -4*d + 12 = -5*q. Suppose a = -4*k + 8, d*k - 4*k = -4*a + 117. Is a a multiple of 15? False Suppose 0 = 3*x - 7*p + 3*p - 33, 4*x - 4*p - 40 = 0. Suppose -4*l + 161 = -x. Does 14 divide l? True Suppose 4 = -5*s - 1. Let k be (0/((-1)/s))/2. Suppose k = m - 2*m + 20. Is m a multiple of 8? False Let q = 9 + -7. Suppose 117 - 47 = 5*o + 2*h, -q*h - 50 = -5*o. Does 4 divide o? True Let c be 1/(-3) + 200/24. Suppose -c + 36 = 2*m. Suppose -3*o + m = -49. Is 11 a factor of o? False Suppose j - 7 + 2 = 0. Suppose 5*t + 45 = 4*u - 0*t, -j*t - 40 = -3*u. Is 5 a factor of u? True Suppose j + d = 190, 6*j - 938 = j - d. Is 40 a factor of j? False Let h be (1/2)/((-2)/(-8)). Is ((-12)/15 + h)*15 a multiple of 16? False Let m = -20 - 20. Let p = -29 - m. Does 3 divide p? False Let a be (1/(-2))/(3/(-744)). Suppose -4*r + 0*r = -a. Does 15 divide r? False Suppose -3*m + 622 = 2*v, 5*m + 5*v = 3*v + 1030. Is 22 a factor of m? False Let x be 1 + -1 + 21 - 0. Let k = -9 + x. Is k a multiple of 4? True Suppose -2*r = -4*k + 3*r - 17, 8 = -4*k - 4*r. Let b be (-488)/(-12) + 2/k. Suppose b = -4*f + 104. Does 8 divide f? True Suppose -3*h + 5*g = 3, -4*g = 2*h - 2*g - 14. Let m be 30/((-2)/h*2). Is 3 a factor of -4*(3 + m/8)? True Let y = -10 - -52. Let p = y - 59. Let g = p - -30. Is 6 a factor of g? False Let w(m) = m - 4. Let s(d) = 2*d - 4. Suppose -4 - 4 = -2*q, 2*y - q = 2. Let u(f) = y*w(f) - 4*s(f). Is u(-11) a multiple of 23? False Suppose -3*i - 3 = 0, -2*n - 2*i + 169 = -81. Does 9 divide ((-12)/(-14))/(3/n)? True Is (5/(-2))/(3/(-134 + -4)) a multiple of 19? False Suppose 0*r - 2*r + 73 = v, -2*v + 134 = -2*r. Does 12 divide v? False Let z(l) be the first derivative of -l**4/4 + 7*l**3/3 - 5*l**2/2 + 6*l - 4. Does 4 divide z(6)? True Let d(a) = 3*a**2 + 10*a - 5. Let j be d(-4). Let i = 6 - 4. Suppose i*u = -j*u + 75. Is 9 a factor of u? False Let s(u) be the second derivative of u**3/3 + u**2/2 - 2*u. Let r be s(1). Suppose 20 = -q + r*q. Does 5 divide q? True Let y(n) = n**3 + 5*n + 0 - 5 + 0 - 6*n**2. Let f be y(5). Does 20 divide f/4*64/(-2)? True Suppose -6*d - 4*g - 164 = -9*d, 4*d = 5*g + 219. Is d a multiple of 18? False Let i(o) = -3*o**3 - 4*o**2 - o + 4. Let q be (1 - 0)/((-2)/(-14)). Let a = -10 + q. Does 17 divide i(a)? False Suppose 0 = 3*j - 2*z + 3*z - 88, 0 = -2*j + 3*z + 55. Suppose -3*s + 0*s + 423 = 0. Suppose -j + s = 4*o. Is 14 a factor of o? True Suppose -5*c + 18 = -2*i, 3*c + 3*i = 2*c - 10. Suppose -128 = -c*g - 8. Does 19 divide g? False Suppose r - 1 = -l, -2*l = -2*r - r + 13. Let g(k) = 4*k**r + 4*k**2 - 5*k + 0*k - 1 - 3*k**3 + k**2. Is g(-5) a multiple of 12? True Let r(x) = x**3 - x + 2. Does 8 divide r(3)? False Suppose -8*p = -4*p + 240. Let u = p - -100. Is 16 a factor of u? False Suppose -2 = 3*g - 11. Suppose -2*z + g*q = -169, 0*z - 3*z - 2*q = -273. Is z a multiple of 25? False Let w(n) = n**3 - n**2 - 1. Let q be w(2). Suppose q*r - 51 = -4*s + s, -2*s = 4. Let c = -10 + r. Is 3 a factor of c? True Let g = 49 + -86. Let h be (183/(-9))/(4/(-12)). Let b = h + g. Is b a multiple of 8? True Suppose 2*f - 125 = 5*c, 2*f - 6*c = -3*c + 115. Suppose 3*l - f = 10. Is l a multiple of 17? False Let j(w) = -6. Let u(b) = -b + 13. Let n(o) = -9*j(o) - 4*u(o). Let k be n(-3). Is (-23)/(-5) - 4/k a multiple of 3? False Let i(p) = -2*p - 9. Let h be i(-6). Let g be (-3 + h)/(4/2). Suppose g = -d - 1 + 32. Is 12 a factor of d? False Is 29 a factor of ((-3255)/6)/(-5) - 2/(-4)? False Suppose 2*s - z = -0*z - 14, 4*z = 2*s + 14. Let h(u) = 3 - 4*u - 3*u - u + 7*u. Is h(s) a multiple of 5? True Suppose -4*h - 36 = -4*b, -h - 5*b + 0*b = -9. Let k(z) = z**2 + 4*z - 8. Let p be k(h). Suppose -f - p*x = -2*f - 10, 2*f = -5*x + 45. Is 5 a factor of f? True Let b(q) = 6*q**2 - 5*q + 4. Let g be b(3). Suppose 3*t - 64 = -i - i, g = t + 5*i. Is t a multiple of 8? False Let y(r) = r**3 - r**2 - r. Let j(p) = 2*p**3 - 9*p**2 + 3*p + 8. Suppose 3*b = -4*c - 15, c + 9 = -5*b + 1. Let h(n) = c*y(n) + j(n). Is 15 a factor of h(-7)? True Suppose -4*c - 3*a + 4 = -5*a, 13 = 3*c + a. Is c a multiple of 2? False Does 9 divide (1 + 2)/(2/12)? True Let n be -3 - (-8)/(-2)*-1. Does 17 divide ((-60)/8 - n)*-8? True Suppose 3*i - 8 = -i. Suppose 0 = -i*o + y + 3*y + 4, -3*y + 10 = 5*o. Suppose -2*s + 53 = 3*f, o*f + 3*s + 2 = 44. Is f a multiple of 7? False Does 31 divide (-6)/(-4)*(-248)/(-6)? True Suppose 3*n - 10 = n. Suppose -q + 10 = z, 5*q - n*z = -0*q. Is q a multiple of 2? False Let u = 112 - 90. Is u a multiple of 6? False Suppose -2*x - 4*r = -9*r + 11, -3*r = -2*x - 5. Let s be 3/(-12)*2*x. Does 6 divide 11 + 2/(s - 1)? False Let j be 1 - 21/(12/4). Is j/10 + (-386)/(-10) a multiple of 22? False Let q(f) = f + 31. Does 11 divide q(0)? False Suppose 0 = -0*c - 2*c + 8. Suppose 3*p - 29 = -c*b, 0 = 5*p + 4*b - 17 - 34. Is p a multiple of 4? False Let s be 35/14*6/5. Suppose s*r - r - 14 = -2*g, -2*g + 3*r - 1 = 0. Does 2 divide g? True Let l(t) = -t**3 + 15*t**2 - 15*t + 20. Does 5 divide l(14)? False Let q be (2 + 0/(-2))/(-2). Let g be 1/(5/6 + q). Let k(u) = -u. Is 5 a factor of k(g)? False Let f(c) = -c + 2. Is f(-10) a multiple of 3? True Let c(r) = -5*r - 4*r**2 - 1 - r**2 + 2 - r**3. Let z be c(-4). Suppose 0 = -z*y + 97 + 63. Does 20 divide y? False Let w = -333 + 505. Is 15 a factor of w? False Let d = 3 - 1. Suppose 0 = -6*l + d*l - 132. Let x = l - -61. Is x a multiple of 14? True Suppose -2*l + 24 = 2*l. Is 29/4 + l/(-24) a multiple of 3? False Let t be (2/2)/(3/(-6)). Let m be 17*t*(0 - -1). Let a = m - -56. Is a a multiple of 8? False Let v = 73 - 37. Is v a multiple of 9? True Suppose -10*k - 60 = -15*k. Is k a multiple of 2? True Suppose 8 = f - 3*w, 2*f + 0*w = -2*w. Suppose 2*l - x = 19, f = -3*l + 2*x + 33. Is 2 a factor of l? False Let t be 2 + 0 + 2 + -2. Let k(u) = -u**t + 4*u**2 - 1 + 0. Is k(2) a multiple of 11? True Let i(a) = a**2 + 12*a - 4. Is 15 a factor of i(-15)? False Let x(k) = -30*k - 3. Is 9 a factor of x(-1)? True Suppose -285 = -2*b + k, 4*k = -13*b + 9*b + 564. Is b a multiple of 56? False Let v(w) = -7*w - 40. Is v(-12) a multiple of 8? False Let g(z) = -z**3 + 6*z**2 + 10*z - 7. Is 3 a factor of g(7)? False Suppose 31 + 37 = 4*a. Suppose -c + a = -14. Is 12 a factor of c? False Suppose 2*p = q + 1, 2*q + 0*p + 2 = 5*p. Let g be 1673/21 - q/3. Suppose -g = -4*k - k. Does 8 divide k? True Suppose -22*y = -19*y - 840. Is 40 a factor of y? True Let l be ((-2)/(-3))/((-6)/(-45)). Suppose l*j - 5 = 5*v, -4*j - 4*v + 44 = -0*j. Let s(r) = r**3 - 5*r**2 - r - 2. Does 14 divide s(j)? True Suppose 0 = 9*b + 4*b - 2028. Is 39 a factor of b? True Let y(z) = -z - 8. Let i be y(-8). Suppose i*q - 145 = -5*q. Suppose n - b - 20 = 0, q = n - 0*n - 4*b. Does 7 divide n? False Suppose 2*r = -4*c + 14, -1 + 7 = 3*c + 3*r. Is c a multiple of 2? False Let l(o) = o - 2. Let t(s) = s + 1. Let r(c) = 6*l(c) + 6*t(c). Does 21 divide r(5)? False Let c(f) = 25*f + 27. Does 19 divide c(4)? False Let r be 6*((-10)/(-4))/5. Suppose -3*f + 53 = o, 0 = 3*f - 5*f + r*o + 28. Does 17 divide f? True Let l(a) be the third derivative of 0 - 1/24*a**4 + 2*a**2 + 0*a + 8/3*a**3. Is l(10) a multiple of 3? True Let w(z) = -z + 20. Suppose 0 = 2*x - 3*g - 12, -2*g = -0*g + 8. Does 10 divide w(x)? True Suppose u - 4*t = -u - 12, 2*u + 4*t = 20. Let x(g) = 3*g**3 - 2*g**2 + g + 1. Let p be x(u). Let h = p - 10. Is h a multiple of 9? True Is 18 a factor of 19 + 2*1*11/(-22)? True Suppose -5*f = 2*i - 59, -2*i - 2*f = 3*i - 200. Is i a multiple of 14? True Let h(b) = 2*b**2 + 5*b + 6. Does 7 divide h(-5)? False Let a be (3 - 4 - -3)*-1. Is 2 + (11 - a) + 0 a multiple of 15? True Is 20 - 4 - 12/(-4) a multiple of 2? False Let n(h) = 3*h**3 + 3*h**2 + 5*h - 6. Is n(3) a multiple of 13? True Is 2 a factor of 2/(-36)*-94 + (-12)/54? False Let c(d) = -d - 2. Let u be c(-4). Suppose -u*n - 3*n = -30. Suppose n*j = 2*j + 32. Is j a multiple of 8? True Let h(o) = o**2 + 5
{ "pile_set_name": "DM Mathematics" }
v(-5) and z. 9 Let z(i) = i**3 - 2*i. What is the least common multiple of z(2) and 20? 20 Let u(z) = -z + 3. Let i be 2/5 - 8/20. Let w be u(i). Calculate the common denominator of 95/6 and 43/20 - w/(-6). 60 Let n = -4 - -10. Let c = 17 + -1. Calculate the common denominator of 3/2 - 60/c and n. 4 What is the common denominator of (-10)/(9*4/(-51)) and -89/10? 30 Let l be (9/(-3))/(-3)*-282691. Let j = -3107538/11 - l. Let k = j + -187. What is the common denominator of -61/9 and k? 99 Let d = -1004/129 - -67951/4902. Let j = d - -84/19. Calculate the common denominator of 17/7 and j. 14 What is the lowest common multiple of 14 and (-11)/(-22) + (9/2)/3? 14 Let q be ((-6)/9)/(4/(-66)). Suppose 2*a - q = 3. Calculate the common denominator of 47/10 and 2 - (a/8 - -2). 40 Let b(g) = 2*g - 3*g + 1 + 0*g. Let j be b(6). Let y(u) = -u - 3. Calculate the lowest common multiple of y(j) and 7. 14 Suppose m - 3 = 1, -9 = -5*r + 4*m. Suppose 0 = a + 2*j + 41 - r, -3*j + 46 = -a. Calculate the smallest common multiple of 22 and ((-2)/5)/(1/a). 176 What is the smallest common multiple of 30 and (-6)/((-66)/295) - 2/(-11)? 270 Let q = -9945 - -178891/18. Calculate the common denominator of -93/14 and q. 126 Let r = 250711/20 - 12531. Let n = -1685/728 - 11/182. What is the common denominator of r and n? 40 Suppose 5*d + 45 = 2*h - 7*h, -h + 7 = -d. Let w = -5 + 2. Let s = w - d. Calculate the smallest common multiple of s and 5. 5 Calculate the common denominator of -29/2 and (348/(-8)*1)/(-5). 10 Suppose -3*c = -4*u - 58, 0*c + 78 = 4*c - 5*u. What is the smallest common multiple of 22 and c? 22 Suppose -5*n + 61 - 1 = 0. Suppose t + 4*t - 5 = 0. Calculate the least common multiple of n and 18 - (0 - 1 - t). 60 Let g(c) = -8*c**3 + 2*c**2 + 2. Let n be g(3). Let k be ((-18)/7)/(21/n). What is the smallest common multiple of (k/20)/(1/5) and 10? 30 Let q = -305917/7 - -43834. Let o = q - 9371/70. Calculate the common denominator of o and (-1)/(-4) - 2/(-4). 20 Let k be ((-1)/(-2))/((-6)/(-480)). Suppose 0 = -2*c + k + 4. Calculate the least common multiple of 8 and c. 88 Let l(z) = z**2 + 7*z - 1. Let r be l(-7). Let s = -11003 - -242171/22. Calculate the common denominator of s and (67/(-12)*1)/r. 132 Let o(h) = 8*h**2 - 11*h - 3. Let a be o(8). What is the common denominator of a/(-72) - 24/(-108) and -43/2? 8 Suppose -9 = -l + 11. Calculate the least common multiple of l and 10. 20 Let s = 423/8 + -117/2. Let l = 734 + -2231/3. What is the common denominator of s and l? 24 Let l = 66 - 56. What is the least common multiple of 14 and l? 70 Let w = -16 + 32. What is the common denominator of -61/5 and (3/w)/((-6)/100)? 40 Let o(b) = -12*b + 1. Let u be o(-7). Suppose 5*v - u = 85. What is the lowest common multiple of v and 6? 102 Let f be (-1 - 33) + (0 - -1). What is the common denominator of (-2)/(-3) - (-64)/f and -31/8? 88 Let z = 1277 + -7693/6. Calculate the common denominator of z and 19/22. 66 What is the lowest common multiple of 45 and (100/(-30))/(1/(-18))? 180 Let h be 6987 + (-4)/(-2) + -1. Let q = -42061/6 + h. Calculate the common denominator of q and (-3)/(-12) - 82/24. 6 Let d be ((8/2)/(-4))/1667. Let u = d + -38323/30006. What is the common denominator of u and (-1)/(-4) - 54/16? 72 Let k be 2/(-4) - 196/(-8). Let f = -14 + k. Let i = f - 5. What is the least common multiple of 9 and i? 45 Calculate the least common multiple of 8 and (-1 + 2)/((-4)/(-44)). 88 Let h(m) = m**3 + 11*m**2 + 8*m + 7. What is the lowest common multiple of h(-10) and 2? 54 Let r(s) = -2*s - 6. What is the smallest common multiple of 20 and r(-10)? 140 Let q be 6/27 - (-248)/18. Calculate the smallest common multiple of ((-2)/4)/(6/(-264)) and q/(-35)*-7*5. 154 Let g = -690769/44 - -15697. What is the common denominator of -23/48 and g? 528 Let w(b) = -2*b. Let h be w(-1). Suppose y = 5*x + 28, -h = -y - 4*x - 19. Let v = y - -7. Calculate the least common multiple of v and 10. 10 Find the common denominator of 1/(6/134) - 16/24 and -41/10. 30 Find the common denominator of (1172/90)/2 + 44/(-110) and -67/16. 144 Let j = 3 - -4. Let m = 9 + -4. Suppose 2*p + 7 + 1 = -g, m*g + 2*p = 0. Calculate the lowest common multiple of g and j. 14 Let k be -1 + 4/((-3360)/9729). Let y = -16/35 - k. What is the common denominator of y and 7/4? 8 Calculate the common denominator of (-590)/50*(-10)/(-12) and -17/9. 18 Let s = 4170 + -29142/7. Calculate the common denominator of 20/19 and s. 133 Suppose 2*j = j. Suppose j = r + 43 - 400. What is the common denominator of (r/18)/7 + -1 and 117/10? 30 Let d = 38 - 33. What is the least common multiple of 4 and d? 20 Let z = 61 - 39. What is the lowest common multiple of z and 16? 176 Let z(o) = o - 1. Let u(q) = 4*q**2 - 17*q + 3 + 9*q + 5. Let j(x) = u(x) + 8*z(x). Calculate the least common multiple of 20 and j(1). 20 Suppose p - 10 = 2*a - 0*a, -p = -3*a - 17. Let q(b) = -b - 4. Let t be q(3). Calculate the smallest common multiple of 1 and a/(t/10) + -2. 8 Suppose -5*s - 12782 = -38617. Let p = s + 2372. Let o = p - 150897/20. Find the common denominator of o and 77/20. 20 Let w(l) be the second derivative of -l**3/6 + 11*l**2/2 + 4*l. Let b be w(-9). Calculate the common denominator of -49*(1/b - 0) and 97/2. 20 Let f(n) = n**3 - 6*n**2 - 9*n + 21. Calculate the smallest common multiple of f(7) and 9. 63 Let u = 8 - 6. Suppose 0 = -u*r + 2. Suppose g - 2*v = 5 - r, 2*g + v - 23 = 0. What is the smallest common multiple of 4 and g? 20 Let c(q) = -3*q + 2. Let w(r) = -7*r + 5. Let p(b) = -5*c(b) + 2*w(b). Let u be (-2)/(-1)*(-3)/(-2). Calculate the smallest common multiple of 11 and p(u). 33 Suppose 0*j + j - 36 = -4*v, -v = -5. Find the common denominator of 3*j/18 + 0 and 73/6. 6 Suppose 113200 = -3*d - 2*d. Let y = -452921/20 - d. Calculate the common denominator of 2/5 - (-63)/330 and y. 220 Let j(z) = 4*z + 2. Let x be j(-2). Calculate the lowest common multiple of 11 and 92/20 + x/10. 44 Let f be (1 - 2)*(-3)/3. Let z(p) = p**2 + 3*p. Let o be z(-3). What is the common denominator of o + 134/(-16) + f and -26? 8 What is the common denominator of (-211)/(-180) + (-16)/72 and -63/10? 20 Let a = -827224/3 + 285744. Let n = a + -332293/33. Let h = n - -11551/176. Calculate the common denominator of h and 133/18. 144 Calculate the smallest common multiple of 20 and (-254)/(-14) + (-11)/77. 180 Let v = -6913 - -41629/6. Let x be 1898/(-5)*(-5)/3. Let r = 3947/6 - x. What is the common denominator of r and v? 6 Let f = -6 - -2. Calculate the common denominator of 357/f*14/105 and -19/10. 10 Let o be ((-8)/10)/((-2)/(-5)). Let y be ((-6)/(-4))/(o/12). Let j = -1 - y. What is the lowest common multiple of j and 2? 8 Let v = -15649/12 + 2601/2. What is the common denominator of v and -19/20? 60 Suppose 46 = 4*z - 4*t + t, 5*z = -3*t + 44. Calculate the least common multiple of 20 and z. 20 Let u = -292 + 2331/8. Calculate the common denominator of u and 113/40. 40 Suppose w = 2*w - 44. Find the common denominator of (-12)/(-66) - 679/w and 2/7 - (-393)/70. 20 Let x(a) = -a**2 + 8*a - 4. Let v(p) be the first derivative of p**2/2 + 17*p - 1. Calculate the least common multiple of x(6) and v(-9). 8 Let t be (3/(-9))/(2/(-174)). Let n = 61 - t. Let h = n - 12. What is the smallest common multiple of h and 12? 60 Let o(b) = -2*b - 4. Suppose -4*s + 3*t = 44, s + 4*s - t = -44. Calculate the lowest common multiple of 18 and o(s). 36 Let y = -1155/43 + 27. Let k = y + 3987/86. Calculate the common denominator of k and -5. 2 Suppose -6*f = -10*f + 4. What is the common denominator of 34/(f*(-1 - 0)) and -41/3? 3 Suppose 10 = -f + 5*f - 3*u, -24 = -5*f - 2*u. Suppose 3 = -3*c + 9. Calculate the least common multiple of c and f. 4 Let h = 2784385/107 + -26022. Calculate the common denominator of 77/8 and h. 856 Let o = 17/21 - 107/14. Calculate the common denominator of o and 23/8. 24 Suppose 0 = -o + 3*c + 10, -3*o - c = -2*c - 62. What is the least common multiple of o and 36? 396 What is the least common multiple of 14 and (-207)/(-18) - ((-3)/2 + 1)? 84 Suppose 2*r - 5 = r. Suppose r*u + 2*h = -32924, -u - 32916 = 4*u - 2*h. Let m = u - -92287/14. What is the common denominator of 37/8 and m? 56 Let x = 9283/42 - 656/3. Find t
{ "pile_set_name": "DM Mathematics" }
1, s, g Let c = 142.61 - 142. Let t = c - 0.01. Let r = t + -0.5. Sort 1, r, -2/17 in descending order. 1, r, -2/17 Let s = -3 - 4. Let u = 5 + s. Sort u, 3/7, 5. u, 3/7, 5 Suppose -w + 6*w = 40. Suppose 4*r - 16 - 1 = 3*a, -2*a + r = w. Suppose -o - 3 - 4 = -5*d, 5*o = 4*d - 14. Put a, o, 3 in decreasing order. 3, o, a Let s(w) = -w**3 + 6*w**2 - 5. Let m be s(6). Let h(r) = -r**3 - 5*r**2 + r + 4. Let n be h(m). Let q(k) = -k. Let a be q(-1). Sort n, 0, a. n, 0, a Let r(o) = o + 5. Let c(i) = -i**2 - 7*i - 8. Let g be c(-7). Let f be r(g). Sort -2, 1, f. f, -2, 1 Let x(y) = -y**2 - 7*y - 7. Let g be x(-6). Sort g, 16, -2 in ascending order. -2, g, 16 Let a = -10 + 15. Put a, -1, -6/5 in decreasing order. a, -1, -6/5 Let c = -73 - -78. Let s = 0.06 - -0.02. Sort s, c, -4 in decreasing order. c, s, -4 Let j = 0.27 + -0.27. Suppose -2*y - 3*y = 0. Suppose -2*h = o - y*o - 9, -3 = -4*h + 3*o. Put -4, j, h in decreasing order. h, j, -4 Let h(r) = -r**3 + 8*r**2 - 8*r + 6. Let o be h(7). Let w be 1 + (2 - 2) - o. Put -0.5, w, -1/10 in decreasing order. w, -1/10, -0.5 Let a(t) = -10*t - 46. Let s be a(-5). Sort 2, -24, s in descending order. s, 2, -24 Let i = 0.6 - 0.4. Sort 0.02, 3/8, i in descending order. 3/8, i, 0.02 Let q = -11 + 15. Let n be (1 - 3)*(-6)/q. Sort -4, n, 1/4 in decreasing order. n, 1/4, -4 Let c(o) = -o**2 + 7*o - 7. Let k be c(4). Suppose -4*g - 11 = 5. Put k, g, -5 in increasing order. -5, g, k Suppose 4*a + 14 = 2*z - 4*z, 0 = 2*z + a + 11. Let w = -21 + 14. Let j = -11 - w. Put j, 5, z in increasing order. z, j, 5 Let x be (-14)/24 + 3/9. Sort -1, -0.4, -2, x. -2, -1, -0.4, x Let n = 8 - 7. Sort -4, 0.1, -0.5, n in decreasing order. n, 0.1, -0.5, -4 Let h = -5 + 15. Suppose -4*j + h = j. Put j, 0, -5 in descending order. j, 0, -5 Let b = 1.9 - -0.6. Let h = -3 + 6. Let l = b - h. Sort 4, l, 0.3 in increasing order. l, 0.3, 4 Suppose 2*f + 3 = -3, -i + 2*f = -11. Suppose -i = -2*o + 3*o. Sort o, -4, -2. o, -4, -2 Let x(c) = 0 + 5 + c - 4 + 2. Let u be x(-6). Let m = 0.1 + -0.1. Sort m, 1, u in descending order. 1, m, u Let d = -0.19 - -8.19. Let q = d - 11. Put -1, q, -5 in descending order. -1, q, -5 Let c be -2 + 2 + -1 + -1. Suppose 5*o - 6*o = 0. Let z = o - c. Sort z, 5, 3 in decreasing order. 5, 3, z Let a = -2 - -3. Let t(u) = u**2 + 10*u + 3. Let j be t(-10). Sort j, 0, a. 0, a, j Let n = 0.11 + -0.01. Put 2, n, -4 in ascending order. -4, n, 2 Let r(z) = 3*z**3 + 2*z**2 + 4*z - 12. Let w(c) = 2*c**3 + 3*c**2 + 3*c - 11. Let t(n) = 3*r(n) - 4*w(n). Let d be t(6). Suppose d = 7*p - 3*p. Sort 4, p, 1. 1, p, 4 Let a(x) = 7*x + 51. Let z be a(-7). Suppose 4*p - w = 4 + 1, -3*p + 3*w = -15. Sort -4, p, z in decreasing order. z, p, -4 Let a = -89 + 88.6. Sort -4, -26, 1, a in descending order. 1, a, -4, -26 Suppose -8 = -3*a - 2. Suppose z - 24 = 3*z. Let g be z/(-20) + (-3)/5. Put a, g, -5 in increasing order. -5, g, a Suppose 12*a - 17*a - 20 = 0. Sort 14, 0, a in descending order. 14, 0, a Let p = -0.1 + 0.2. Put p, -0.3, -5 in decreasing order. p, -0.3, -5 Let w = 0.03 - 4.85. Let h = 0.18 - w. Sort h, 0, -3 in descending order. h, 0, -3 Let i = 5 - 2. Let h = -3.5 + 3. Sort i, -0.3, h in descending order. i, -0.3, h Suppose -5 - 10 = 3*a. Sort -4, -1/2, a in increasing order. a, -4, -1/2 Let y = 74 + -299/4. Sort y, 0, -2/9 in ascending order. y, -2/9, 0 Let m = -16 + 23. Put -4, m, -7 in descending order. m, -4, -7 Let m = -3 + 3. Let v be (-72)/(-105) + (-2)/7. Sort v, -2, m in descending order. v, m, -2 Let g = -9 + 14. Let v = -8 - -10. Let y = 2.5 - v. Sort g, y, 2/7 in increasing order. 2/7, y, g Let f be ((-5)/(-2))/(6/(-12)). Sort f, -1, 5 in increasing order. f, -1, 5 Let q be (1/1)/(1/(-5)). Put -3, 5, q in decreasing order. 5, -3, q Let s = 2 + -3. Let m be (-9 - -8) + (-2)/(-4). Put m, 0, s in increasing order. s, m, 0 Suppose 4*x = 5 + 3. Let f be 2/(-3)*3*(-2)/(-1). Put -1, f, x in decreasing order. x, -1, f Let g be 4*1/3*3. Let j(d) be the first derivative of d**2/2 - 6*d - 2. Let i be j(g). Put -3, i, 2 in ascending order. -3, i, 2 Suppose 4 = -5*m + 3*m. Let a = -1 + m. Sort -1/4, -0.2, a. a, -1/4, -0.2 Let m = -2 - -3. Put 5, 0, m in descending order. 5, m, 0 Let h be (-4 + (-111)/(-27))/(2/(-6)). Put 2/11, -1, h, 4 in decreasing order. 4, 2/11, h, -1 Suppose s = 34 - 30. Sort -5, 6, -1, s in increasing order. -5, -1, s, 6 Suppose 0 = n - 2*n. Let m be 2 + (n - 3) - -65. Let z = m - 125/2. Sort z, -3/7, 2/3 in descending order. z, 2/3, -3/7 Suppose 3 - 5 = -2*b. Let k be (-1 + b)*1*-1. Put -5, 4, k in decreasing order. 4, k, -5 Let g = -189 + 1887/10. Suppose -9 = -3*r - 4*t, 2*r = 4*t - 16 + 22. Sort g, r, -1/3 in decreasing order. r, g, -1/3 Let o = -1027.055 - -1030. Let l = -0.145 - o. Let q = l - -0.09. Sort q, -1/5, -5. -5, q, -1/5 Let z be (-16)/(-20) - (1 + -1). Let v be ((-4)/(-6))/(3/9). Put 5, z, v in descending order. 5, v, z Let f = -29 - -33. Put f, -1, 3 in increasing order. -1, 3, f Let u be 4/14*1235/2. Let b = u + -177. Sort 0, 1, b in decreasing order. 1, 0, b Suppose 0 = 3*i - 15 + 3. Let m = 20 - 18. Suppose i*r - 6*r = -m. Put 5, r, -4 in decreasing order. 5, r, -4 Let r = -0.06 + 0. Let b = 5.06 + r. Let i = -3 + b. Sort i, -0.5, -5. -5, -0.5, i Let u = -88 - -81. Sort 0.2, -1/6, u. u, -1/6, 0.2 Suppose -4*n + 5*m = -n - 10, -4 = -5*n + 2*m. Let s = -1 - n. Let h = s + -1. Put 2, h, 4 in decreasing order. 4, 2, h Let b = 0.3 + 0.1. Put b, 0.3, 3 in increasing order. 0.3, b, 3 Let b = -5 - -7. Suppose -3*z - n = -2*z, 0 = 3*z + b*n - 2. Put z, -1, -5 in decreasing order. z, -1, -5 Let r be 5/25 + (-14)/(-5). Suppose r*a - 20 = -a. Sort 1, 0, a in ascending order. 0, 1, a Let p = 0.72 - 0.69. Sort -3/5, -0.2, p in descending order. p, -0.2, -3/5 Let h = -0.67 + 0.07. Let q = h + 5.6. Let d be 0 - (1 + 0)/1. Put q, d, 3 in descending order. q, 3, d Suppose 2*c - 14 = -12. Put 2, 9, c in descending order. 9, 2, c Let l(t) be the third derivative of -t**5/60 - 5*t**4/24 - t**3/6 - t**2. Let f be l(-4). Put 4, -1, f in decreasing order. 4, f, -1 Suppose 4*f = -2*c - 52, -4*f - 2*c - 3*c - 58 = 0. Let w be 0*(f/9)/4. Suppose -4*z + 2*u = -0*u + 4, 4*z - 5*u + 4 = w. Put 0.1, 1/3, z in ascending order. z, 0.1, 1/3 Let q = 0.12 - 1.02. Let i = -1.1 - q. Suppose a = -a - 2*j - 4, 0 = 3*a + j + 6. Put a, 0.1, i in ascending order. a, i, 0.1 Let g = 0.06 - -4.94. Suppose -1 = -2*y + 7. Let p = -200 + 3398/17. Put g, y, p in descending order. g, y, p Let n(l) = l + 5. Let f be n(0). Let x(o) = -o**2 + 5*o + 4. Let v be x(f). Suppose -4*u + m = -16, 5*u + m - 6*m = 35. Sort 1, v, u. 1, u, v Let j = 0.24 - 0.64. Put j, -3, 5, 3 in decreasing order. 5, 3, j, -3 Let i(g) = g**3 - 2*g - 1. Let n be i(-2). Let p(t) = -t**2 - 4*t + 8. Let q be p(-6). Let k be (-4 - -3)/(1/q). Sort -3, n, k in ascending order. n, -3, k Suppose -5*o = 2*r - 5, 23 = -3*o + r + 3*r. Sort o, 0.06, 2/7, -2. -2, o, 0.06, 2/7 Let z = 2 - 6.5. Let b = -10 + 6. Let f = b - z. Put 3, -0.2, f in ascending order. -0.2, f, 3 Let g = 18 - 30. Let v = -7 - g. Sort v, -2, 3 in descending order. v, 3, -2 Let z = 0 + 0.5. Let s = -0.37 - -0.07. Let v = 0.2 + s. Put v, 4/5, z in decreasing order. 4/5, z, v Let w be ((-1)/4)/(5/(-80)*2). Sort w, 1, 18. 1, w, 18 Let a = -0.83 - 0.17. Sort 3/8, -5, a in ascending order. -5, a, 3/8 Let h = -4.7 + -0.3. Let j = -7 - -11. Let o = 0 + j. Sort o, h, -0.1. h, -0.1, o Let n = -4 + 3.6. Let f = n + 0.45. Put 1/8, f, 1/2 in descending order. 1/2, 1/8, f Let x = -1 - 0. Let f be x/2 + (-21)/(-14). Sort -1, -5, f in increasing order. -5, -1, f Let p be ((-2)/(-5))/(11/(-5)). Let u = 57.5 + -57. Put -0.3, u, p in increasing order. -0.3, p, u Suppose 0*o - 4*o = 0. Suppose 5*y - 19 + 99 = o. Let r be (3/12)/(3/y). Sort 2, r, 3 in increasing order. r, 2, 3 Let m(d) = d**3 + 3*d**2 - 4*d + 4. Let p be m(-4). Suppose -p = -q - 3. Let j be ((2 - 1) + 2)/1. Put j, -4, q in decreasing order. j, q, -4 Let o(b) = b**3 - 3*b**2 - b + 2. Let j be o(2). Let f be (3 - 6/(-2)) + -1. Suppose 2*y + 0 + 4 = 0. Sort f, y, j in increasing order. j, y, f Let s = -64 - -131/2. Let b be (-3)/3 - (-5 - 1). Put s, -2, b in increasing order. -2, s, b Suppose 0 = 2*z + 8, -2*x + 5*x - 3 = -3*z. Suppose -3*k + 4*o + 16
{ "pile_set_name": "DM Mathematics" }
Let u(r) = r**3 + 15*r**2 + r + 18. Let i be u(-15). Suppose i*k - 86 = -23. Suppose 2*c = -0*m - m + 9, 0 = -3*c - 3*m + k. Solve 0*g - 2*g = c for g. -1 Let i(a) = -183*a + 1481. Let s be i(8). Solve 46*f = -s*f for f. 0 Let q = -15090 - -15096. Solve -46 = 13*p + q for p. -4 Suppose -20*i - 31 + 112 + 159 = 0. Solve -4*h = i + 16 for h. -7 Let a = -86 + 90. Let p be (-7 + 3 - a)*-1. Let y be 0/((30/(-40))/((-2)/p)). Solve y = -o - 0 - 2 for o. -2 Let k = 15 - 6. Suppose 69*u - 293*u = -896. Solve 10*q + u = k*q for q. -4 Let v(x) be the second derivative of x**4/2 + x**3/3 - 13*x**2/2 - 9*x. Let j be v(-4). Let k be j/3*(1 - 0). Solve -2*p + 7*p = -k for p. -5 Suppose 80*u = 75*u + 250. Suppose -3*n + 204 = 54. Let q = n - u. Solve 0*s + s = q for s. 0 Suppose -28*u = -110*u - 59*u + 564. Solve 5*l - u*l = 4*l for l. 0 Let r(m) = -4*m - 42. Let d be r(-12). Suppose 7*z - 2 = d*z. Suppose -6 = -4*n + 2. Solve n*k + z*k = 0 for k. 0 Let m = 642 + -482. Let n be 368/m - 9/30. Solve 2 = -h + n*h for h. 2 Let j(b) = 8*b - 506. Let t be j(72). Solve -107*k + t = -72*k for k. 2 Let t(z) = -163*z + 40. Let g be t(0). Solve -14*p = 12 - g for p. 2 Let w = -20 + 35. Suppose b - 14 = -f, -48 = -4*b + 27*f - 30*f. Solve m + w = b*m for m. 3 Let y(z) = -4*z - 1. Let n be y(-7). Let v = n + -24. Let s be v*((-12)/(-3) - (-1 - -4)). Solve s = -p + 7 for p. 4 Suppose n - 2*m - 20 = 0, -2*n + 2*m = -7 - 33. Suppose 0 = 783*c - 778*c - n. Solve c*o = 5*o - 3 for o. 3 Let z(h) = -h**3 - 13*h**2 + 16*h + 34. Let v be z(-14). Suppose 3*b + 2*r - 13 = 0, -9*r = 4*b - v*r - 18. Solve -d - b*d = 4 for d. -1 Suppose 0 = -4*p + 6*p. Suppose p = -5*f - 6*f + 583. Suppose f*n - 78 = 47*n. Solve n = -3*h + 4 for h. -3 Let n(p) = -p**2 - 20*p + 17. Let j be n(-8). Let y = -112 + j. Solve -r + 0 - y = 0 for r. -1 Suppose 476*v - 383*v - 144 = 42. Let q be (1 + 0)*(7 - 4). Solve -v*i - 2 = -q*i for i. 2 Suppose -6939*x + 6950*x - 22 = 0. Solve -18 = -x*w - 4*w for w. 3 Suppose -21*k + 3151 = -3821. Solve 13*y + k = 410 for y. 6 Let a(g) = -19*g + 46. Let n be a(3). Let t be (3/7)/(n/(-77)). Solve -t = -6*c + 7*c for c. -3 Let g be 1*(-4330)/22 - 8/44. Let m = g + 197. Solve m = -0*b + 3*b for b. 0 Suppose 670 = 84*w - 590. Solve -w = 4*l - 35 for l. 5 Let d(a) = a**2 + 40*a - 276. Let j(l) = -l**2 + 40*l - 5. Let y be j(41). Let g be d(y). Solve g = 4*w + 10 - 2 for w. -2 Let d be (3/(-2))/((-1)/2). Suppose 22*v - 73*v + 7140 = 0. Let w be (-80)/v*(-8 + 1). Solve d*z - 16 = -w for z. 4 Let v be (-100 + 100)/((-1)/(2/4)). Suppose v = 4*c - k - 77 - 33, -2*c + 64 = -5*k. Solve 4*t - c = -7 for t. 5 Suppose 12*p + 39 = -16*p + 375. Solve 42*o + 60 = p*o for o. -2 Suppose -34 = -15*f - 259. Let d be 12/(-30) - (-3 + 111/f). Solve d = k + 9 for k. 1 Let u(b) = -2*b + 24. Suppose 5*c - i - 49 = 0, -45 = -5*c + 3*i + 2*i. Let p be u(c). Suppose -p*t - 62 = -70. Solve -5*n = -t*n - 9 for n. 3 Let v = 43 + 2. Suppose -265 = -20*a - v. Solve 0 = -a*d + 10*d + 3 for d. 3 Let u = 216 + 27. Let q be u/36 + -6 + 13/4. Solve -q = -6*c - 34 for c. -5 Let g = -54 + 76. Suppose -4*x - 14 = -g. Suppose 5 = 3*r - 4, 0 = 4*m - x*r - 2. Solve i = -i + m for i. 1 Let u(s) = -2*s**2 - 7*s - 3. Let j be u(-7). Let x = -59 - j. Let v = 19 + x. Solve -v = 4*i - i for i. -4 Let v(u) = -u**2 - 11*u + 22. Suppose 0 = -4*p - p - 65. Let o be v(p). Let z = o + 10. Solve t = -3 + z for t. 3 Let c = -2 + 4. Suppose -3*b + c + 4 = 0. Let u = 1560 + -1555. Solve b*t = u*t for t. 0 Let t(v) = v**2 - v - 5. Let u be t(-3). Suppose -3 = -5*z - 5*w + u, z - 4 = w. Suppose -7*f + 8 = -z*f + 3*r, -2*f - r + 6 = 0. Solve -10 = -0*p - f*p for p. 2 Let f(g) = -78*g + 4. Let c be f(0). Solve -4*x + c = -3*x for x. 4 Suppose -7*a + 41 = 20. Suppose -c = 2*z - 11, 6*c + 39 = 10*c + a*z. Solve -c*i - 10 = -11*i for i. 5 Suppose -w + 2 + 12 = 4*f, f - w - 1 = 0. Suppose 0 = -p - 5*n + 3*n - f, -2*n = -3*p + 15. Solve 0 = p*r - 9 - 6 for r. 5 Suppose -34*g + 41*g = 35. Suppose g*j = -4*w + 24 + 8, -j + 7 = w. Solve k = j*k for k. 0 Suppose -n + 13 = 9. Suppose -3*u + 23 = -n*v, -2*u + 5*v = 3*v - 12. Let j(i) = -i + 4. Let g be j(u). Solve -13 = 2*c - g for c. -5 Let t(l) = -l**2 + 20*l - 70. Let v(w) = w**2 - 11*w + 43. Let d be v(4). Let k be t(d). Solve 5*c - k = -0 for c. 1 Let c = -84 - -85. Let h be (-1*c/5)/(1/(-85)). Solve 16*k - h*k + 5 = 0 for k. 5 Let v = -35 - 94. Let g = v - -131. Solve g*p = -4*p - 24 for p. -4 Let h = -108 - -165. Let o = 81 - h. Let v(f) = -f**3 + 24*f**2 + 12. Let z be v(o). Solve -4*t - z + 32 = 0 for t. 5 Suppose -3*i + 4*n = -18, -2*i = -3*n + 368 - 381. Solve 2*h = -0*h - i for h. -1 Let s be (-87)/(-29) + (-4)/4 + 6. Solve 16 = s*l - 0*l for l. 2 Suppose -o + 469 = -g, -5*o = -g - 0*o - 489. Let d = 468 + g. Solve -i = -2*i + d for i. 4 Suppose 23*w - 1 = 22*w. Let c be w - (6/(-24) + 22/(-8)). Suppose -4*v + c*l + 12 = -v, 0 = 4*v - 4*l - 12. Solve 2 = -h - v*h for h. -2 Let y be (-598)/(-16) - 30/80. Let f be (-5)/(-110)*-8*-11. Solve -f*t + 49 = y for t. 3 Let g = -49 + 53. Suppose -10*l + 16 + g = 0. Let r be 13 - (-4 - (-9 + l)). Solve x - r = -x for x. 5 Let q(u) = 2*u + 6. Let g be q(-2). Let r(c) = -c + 4 + 6*c + 1 - 2*c. Let z be r(g). Solve 1 = -4*m - z for m. -3 Suppose 15*h - 922 - 53 = 0. Suppose 4*x = 5*c - 3*c + 118, -177 = 3*c + 5*x. Let r = c + h. Solve -2*m = -4*m + r for m. 3 Let h = 11498 + -11340. Solve -h*x + 159*x = 0 for x. 0 Suppose -4*l - 29 = -x - 3*l, 190 = 5*x + 4*l. Let i be 66 - 0 - (-42 + x). Solve i*b - 78*b = -16 for b. 4 Suppose -2*u - 2*i - 107 = -311, 5*u = 3*i + 478. Let p be (4/16*2)/(1/202). Let b = p - u. Solve -4*g = -g - b for g. 1 Suppose -2*p + 0*w + 20 = -5*w, -4 = 4*p + w. Suppose 8*f - 10*f + 72 = p. Let v be 14*(f/(-21) - (-1 + -1)). Solve -2*g = 2*g - v for g. 1 Let b(o) = 5*o - 25. Let x be b(7). Suppose -16 + 6 = -u. Suppose -5*k = 3*h - 14 - 2, 0 = k + 4*h - u. Solve k*p + 3*p = x for p. 2 Suppose -23864 = -28*j + 4192. Solve -7*i - j + 953 = 0 for i. -7 Let v(o) = o + 1. Let u be v(-1). Let f(g) = -29*g + 2. Let d be f(0). Suppose 3*j - 8*j + 6 = -k, 2*j = d*k - 4. Solve p + u*p + k = 0 for p. -4 Let m(p) = p**2 + 6*p - 14. Let g be m(2). Suppose 0 = -5*c - 3*v + 24, 1 = g*v - 5. Solve 0 = -y - c*y + 8 for y. 2 Let x(d) = -d**3 - 7*d**2 - 9*d - 8. Let h be x(-6). Let p(u) = 7*u + 495. Let q be p(-65). Suppose 2*r + h = 3*i + 3, 5*r - q = -4*i. Solve k + r = -3*k for k. -1 Let b be (-1)/((-21)/28) - (-76)/6. Suppose -63 - 49 = -b*k. Suppose -a - a = 0. Solve -q - 3*q + k = a for q. 2 Let z = 2889 - 2667. Solve z*n + 32 = 230*n for n. 4 Suppose 10*l - 46 - 234 = 0. Suppose 0 = -7*y - l*y + 105. Solve -1 = -y*d + 11 for d. 4 Let g(s) = -s**3 - 10*s**2 - 23*s + 14. Let y be g(-5). Suppose -12 - 133 = -29*c. Solve -3*h = -y*h + c for h. 5 Suppose 50*l - 46*l = 47*l - 13588. Solve 312*r - l*r - 20 = 0 for r. -5 Let t be (56/12 + -5)*(1 + -25). Suppose -4*z - 6 = 3*d - 0*d, -4*d - t = -4*z. Solve -3 = -v - z for v. 3 Let v(a) = 35*a**2 - 1054*a + 120. Let l be v(30). Solve 73*o - 316 - 122 = l for o. 6 Let u = -9133 - -9148. Solve 18*j + u*j = 0 for j. 0 Suppose -6*o = 6 + 54. Let p be 13/1 + o + 3. Solve p*q + 0*q = -18 for q. -3 Let y = 59 - 56. Suppose 0 = y*j + 3*s - 2 - 7, j - 5 = s. Let f be (3 - 2)*(j*2 - 2). Solve -3*o = -f*o for o. 0 Let t be 2*-1 - ((-63)/9 + -67). Suppose -22*n + t = -16*n. Solve v - n = -5*v for v. 2 Let y be 171/12 + 5/(-20 - 0). Let h be y/(-2) + (-9 - -16). Solve -c + 8*c = h for c. 0 Let z = -7608 - -7616. Solve -168*m = -176*m - z for m. -1 Let p = -24 - -26. Suppose 3*m - p*m - 4 = 0. Suppose -23*b + 35 = -80. Solve -m*l = -1 + b for l. -1 Let p(l) = l**2 - 7*l - 40. Let a be p(11). Suppose -a*k - 48 = 4*j, -5*k = -7 + 32. Let d(u) = u**2 + 7*u + 5. Let i be d(j). Solve -g - 12 = -i*g for g. 3 Let t = 100 - 21. Suppose -20*f = -t - 41. Solve 5*z + z = -f for z. -1 Suppose -153*y + 165*y - 3540 = 0. Let j = y - 244. Solve j = 4*a + 31 for a. 5 Suppose 5*k - 17*k + 96 = 0. Suppose b - 27 = -k*b. Solve 12 = -b*h - 3 for h. -5 Let o be (-95)/((-90)/108 - 0). Solve 5*j = -84 + o for j. 6 Let r(m) be the second derivative of -m**4/6 - 7*m**3/2 + 19*m**2 - 81*m. Let w be r(-12). Solve -w = g - 0 for g. -
{ "pile_set_name": "DM Mathematics" }
(f - 1)*(f + 222316) Let 2*k**5/3 - 58*k**4/3 - 496*k**3/3 - 104*k**2 + 288*k = 0. Calculate k. -6, -2, 0, 1, 36 Determine i so that -5*i**3 - 8040*i**2 + 8055*i + 16090 = 0. -1609, -1, 2 Let -16*u**4 - 212*u**3 + 1884*u**2 + 2612*u + 532 = 0. What is u? -19, -1, -1/4, 7 Factor j**3 - 1949*j**2 - 9854*j + 164136. (j - 1954)*(j - 7)*(j + 12) Let -595*x**5 + 800*x**4 + 9305*x**3 + 8630*x**2 - 3940*x + 200 = 0. What is x? -2, 1/17, 2/7, 5 Determine c so that 4*c**2 - 2864*c + 299212 = 0. 127, 589 Factor 3*n**3 + 117*n**2 - 2856*n. 3*n*(n - 17)*(n + 56) Factor -g**4/6 - 10*g**3/3. -g**3*(g + 20)/6 Find a such that -3*a**4 - 13152*a**3 - 366492*a**2 - 2561328*a = 0. -4356, -14, 0 Let 4*m**4/7 - 144*m**3/7 + 944*m**2/7 - 192*m = 0. Calculate m. 0, 2, 6, 28 Find t such that -2*t**3/5 + 14346*t**2/5 - 5149494*t + 15422670 = 0. 3, 3585 Let -3*y**2/7 + 141*y + 380988/7 = 0. What is y? -228, 557 Let -3*p**3 - 44427*p**2 + 133308*p = 0. Calculate p. -14812, 0, 3 Factor -s**3/6 + 1357*s**2/6 + 5452*s/3 + 3640. -(s - 1365)*(s + 4)**2/6 Suppose 2*u**4 + 364*u**3 + 4152*u**2 + 12240*u = 0. Calculate u. -170, -6, 0 Let 9*a**5 + 3354*a**4 - 7892*a**3 - 6378*a**2 - 1125*a = 0. What is a? -375, -1/3, 0, 3 What is q in 4*q**2 + 1308*q - 68632 = 0? -373, 46 Determine d so that -5*d**4 - 395*d**3 - 4105*d**2 - 5545*d + 10050 = 0. -67, -10, -3, 1 Find i, given that -3*i**5/4 - 333*i**4/2 + 1722*i**3 - 8319*i**2/2 + 15291*i/4 - 1218 = 0. -232, 1, 7 Determine c so that -5*c**4 + 120*c**3 - 565*c**2 + 390*c + 1080 = 0. -1, 3, 4, 18 Let -4*s**2 - 186368*s - 2170814464 = 0. What is s? -23296 Factor -y**2/3 - 6408*y + 19225/3. -(y - 1)*(y + 19225)/3 Factor -69*s**3 + 1059*s**2 - 360*s. -3*s*(s - 15)*(23*s - 8) Solve -9*v**3/5 - 582*v**2/5 + 789*v/5 - 198/5 = 0. -66, 1/3, 1 Solve 4*a**5/5 - 1428*a**4/5 - 36888*a**3/5 + 119192*a**2/5 - 122028*a/5 + 41148/5 = 0 for a. -27, 1, 381 Find x such that -5*x**4 + 1560*x**3 - 10635*x**2 - 12200*x = 0. -1, 0, 8, 305 Solve -3*b**4/4 + 2079*b**3/4 - 23295*b**2/2 + 60192*b + 72360 = 0 for b. -1, 12, 670 What is n in -2*n**2/3 - 60578*n/3 + 40388 = 0? -30291, 2 Factor -o**2/2 - 2515*o - 6325225/2. -(o + 2515)**2/2 Factor 2*j**2/3 - 112952*j/3 - 112958. 2*(j - 56479)*(j + 3)/3 Let 2*j**5/15 + 44*j**4/15 + 114*j**3/5 + 372*j**2/5 + 432*j/5 = 0. Calculate j. -9, -6, -4, -3, 0 Determine w, given that -2*w**3 - 488*w**2 - 15370*w + 1934300 = 0. -145, 46 Factor i**4/2 + 327*i**3/2 + 808*i**2 + 966*i. i*(i + 2)*(i + 3)*(i + 322)/2 Factor 6*g**4 - 673*g**3 + 1438*g**2 - 881*g + 110. (g - 110)*(g - 1)**2*(6*g - 1) What is z in 5*z**2 - 49790*z + 149325 = 0? 3, 9955 Suppose -2*b**2/9 + 152*b/3 - 1792/9 = 0. Calculate b. 4, 224 Factor 3*v**3/2 - 12495*v**2 + 548691*v/2 - 1507902. 3*(v - 8308)*(v - 11)**2/2 What is a in 36*a**5 - 13062*a**4 - 221831*a**3/4 + 598293*a**2/4 + 26054*a + 1101 = 0? -6, -1/12, 2, 367 Factor 2*l**2 - 664868*l + 55256182178. 2*(l - 166217)**2 What is d in 1907161*d**3/10 + 22888694*d**2/5 + 13258*d + 48/5 = 0? -24, -2/1381 Find x such that -20*x**3 + 375*x**2 + 500*x = 0. -5/4, 0, 20 Find k, given that -22*k**5 + 182*k**4 + 1602*k**3 + 2322*k**2 - 756*k = 0. -3, 0, 3/11, 14 Suppose -b**4/8 - 19115*b**3/4 - 364847613*b**2/8 + 2559555845*b/2 - 17930013409/2 = 0. Calculate b. -19129, 14 What is h in -2209*h**5/5 - 81451*h**4/5 - 28841*h**3 + 19407*h**2/5 - 126*h = 0? -35, -2, 0, 3/47 Factor -3*t**2/2 + 8192*t + 5462. -(t - 5462)*(3*t + 2)/2 Let 5*a**4/2 - 165545*a**3/2 + 1826899425*a**2/2 - 6718726677195*a/2 - 6722381138265 = 0. Calculate a. -2, 11037 Solve -3*m**4 + 474363*m**3/4 - 533613*m**2/2 - 1185849*m/4 + 88938 = 0 for m. -1, 1/4, 3, 39528 Solve -48*t**3/7 - 2883*t**2 - 2145594*t/7 - 5110677/7 = 0 for t. -209, -39/16 Factor -4*f**3 - 328*f**2 - 7388*f - 45080. -4*(f + 10)*(f + 23)*(f + 49) Let 2*g**3/7 - 3812*g**2/7 + 302720*g - 275131200/7 = 0. Calculate g. 186, 860 Let -b**2 + 6290*b + 18879 = 0. What is b? -3, 6293 Find a such that 191*a**4/9 + 13756*a**3/9 + 77833*a**2/3 - 518074*a/9 - 10952/9 = 0. -37, -4/191, 2 Find m, given that -2*m**4/7 + 1716*m**3/7 = 0. 0, 858 Factor -4*q**2 + 1108*q - 7560. -4*(q - 270)*(q - 7) Let -4*h**4 - 59*h**3 + 1999*h**2 - 496*h = 0. What is h? -31, 0, 1/4, 16 Determine q so that -q**3/6 - 431*q**2/3 - 11921*q/6 - 20776/3 = 0. -848, -7 Factor n**3 - 816*n**2 + 213204*n - 17429264. (n - 326)**2*(n - 164) Factor 5*a**2 + 3060*a - 1000640. 5*(a - 236)*(a + 848) What is d in 2*d**4/21 - 22*d**3/21 - 478*d**2/7 + 418*d/3 - 1472/21 = 0? -23, 1, 32 Factor -5*o**5 + 200*o**4 - 1400*o**3 - 39200*o**2 + 686000*o - 3073280. -5*(o - 14)**4*(o + 16) Find a, given that -2*a**2 + 1146*a + 2300 = 0. -2, 575 Suppose -u**4 - 5561*u**3 - 5560*u**2 = 0. What is u? -5560, -1, 0 Factor -5*i**2 - 7560*i - 207760. -5*(i + 28)*(i + 1484) Let 4*b**2 + 29708*b - 118896 = 0. What is b? -7431, 4 Find k such that -21*k**5 - 9942*k**4 + 35676*k**3 - 47166*k**2 + 27177*k - 5724 = 0. -477, 4/7, 1 Suppose -r**2/2 + 869*r/2 + 265581 = 0. Calculate r. -414, 1283 Suppose 3*h**2/2 + 18726*h + 262017/2 = 0. What is h? -12477, -7 What is d in 3*d**3/8 - 207*d**2/4 + 7353*d/8 - 16107/4 = 0? 7, 13, 118 Determine y so that -24*y**3/5 + 393*y**2/5 + 51336*y/5 - 3861 = 0. -39, 3/8, 55 Suppose -2*x**4/5 - 598*x**3/5 - 23314*x**2/5 - 220754*x/5 + 107916 = 0. What is x? -255, -23, 2 Determine r, given that -2*r**2 - 21486*r + 1057616 = 0. -10792, 49 Factor r**2/5 - 29816*r/5 + 222248464/5. (r - 14908)**2/5 Find n such that 3*n**5/7 - 120*n**4/7 - 597*n**3/7 + 1290*n**2 = 0. -10, 0, 7, 43 Suppose -3*c**4 + 11457*c**3 - 45792*c**2 + 45780*c = 0. Calculate c. 0, 2, 3815 Factor 3*h**3 + 2178*h**2 + 372627*h - 8347740. 3*(h - 20)*(h + 373)**2 Factor -2*n**2/9 + 7072*n/9 - 7070/9. -2*(n - 3535)*(n - 1)/9 Find d, given that 5*d**4 + 1500*d**3 + 20195*d**2 + 50160*d + 31460 = 0. -286, -11, -2, -1 Solve 4*p**2 + 98436*p + 2065392 = 0 for p. -24588, -21 Suppose 15*i**5/2 - 87*i**4/4 - 39*i**3/4 + 87*i**2/4 + 9*i/4 = 0. Calculate i. -1, -1/10, 0, 1, 3 Solve -6*j**4/7 + 106*j**3 - 9136*j**2/7 + 1816*j + 5280/7 = 0. -1/3, 2, 12, 110 Factor t**3 - 65*t**2 + 500*t + 12500. (t - 50)*(t - 25)*(t + 10) Suppose -l**2/5 - 24462*l/5 + 14679 = 0. Calculate l. -24465, 3 Let -5*x**5 + 215*x**4 + 30*x**3 - 1330*x**2 + 1735*x - 645 = 0. What is x? -3, 1, 43 Factor d**3/6 - 9*d**2/2 - 224*d/3 - 130. (d - 39)*(d + 2)*(d + 10)/6 Find p such that -p**2/10 - 46*p/5 + 3744/5 = 0. -144, 52 Solve 3*d**4/2 + 16149*d**3/2 + 10829844*d**2 - 98058912*d + 87220992 = 0 for d. -2696, 1, 8 Let 7*h**3/3 + 7221*h**2 - 6190*h/3 = 0. What is h? -3095, 0, 2/7 Solve t**2/5 - 12189*t + 60944/5 = 0 for t. 1, 60944 Factor -2*b**2/11 + 300*b/11 + 112. -2*(b - 154)*(b + 4)/11 Factor 2*k**2/9 - 3652*k/9 + 3646/3. 2*(k - 1823)*(k - 3)/9 Find q, given that 3*q**2 + 13200*q + 118557 = 0. -4391, -9 Let -s**4/5 + 5579*s**3/5 - 194107*s**2/5 + 371481*s/5 - 182952/5 = 0. Calculate s. 1, 33, 5544 Factor 8*r**3 - 479*r**2/6 + 595*r/3 + 25/6. (r - 5)**2*(48*r + 1)/6 Determine r so that -r**2/4 - 917*r/2 - 94393/4 = 0. -1781, -53 Determine i so that 8*i**5/7 - 11476*i**4/7 + 17180*i**3/7 + 22940*i**2/7 - 17188*i/7 - 11464/7 = 0. -1, -1/2, 1, 2, 1433 Solve 2*o**2/3 - 489238*o/3 - 978484/3 = 0 for o. -2, 244621 Determine k, given that -4*k**3 + 134384*k**2 + 268780*k + 134392 = 0. -1, 33598 Factor j**2/5 - 101*j - 92664/5. (j - 648)*(j + 143)/5 Solve 3*d**2 + 634050*d + 33501616875 = 0. -105675 Let -10*l**2/7 + 174308*l/7 - 19920 = 0. Calculate l. 4/5, 17430 Factor 3*j**2/5 + 39297*j/5. 3*j*(j + 13099)/5 Solve -5*c**3 + 1200*c**2 - 7065*c + 10530 = 0 for c. 3, 234 Let -4*i**2/3 + 3284024*i/3 - 3284020/3 = 0. What is i? 1, 821005 Factor -2*c**3/7 + 1308*c**2/7 - 3910*c/7 + 372. -2*(c - 651)*(c - 2)*(c - 1)/7 Find k such that 375*k**4/7 - 60981075*k**3/7 + 73176930*k**2/7 - 4181532*k + 3902760/7 = 0. 2/5, 162615 Let -972*b**4 + 2223504*b**3 + 3213096*b**2 + 1510640*b + 228900 = 0. Calculate b. -5/9, -1/3, 2289 Determine m so that 3*m**3/2 + 822*m**2 - 262389*m/2 - 132015 = 0. -677, -1, 130 What is i in -5*i**4/4 - 2203*i**3/4 - 245493*i**2/4 - 620865*i/4 + 143883/2 = 0? -219, -3, 2/5 Suppose 12*t**3 - t**2 - 30218*t + 584495 = 0. What is t? -695/12, 29 Suppose 5*h**4 - 85*h**3 - 7160*h**2 + 6400
{ "pile_set_name": "DM Mathematics" }
Suppose -3*o - 4*b = b - k, -2*o + b = -6. Suppose 0 = -0*q - o*q + 2235. Is q composite? True Let m(c) = -2383*c - 1656. Is m(-11) prime? False Let z = 17087 - 7436. Is z composite? True Suppose 3051650 = 58*t + 21*t - 2262759. Is t composite? False Let a(g) = g**2 - 5*g + 6 - 2*g**2 - 3 - 17*g**3. Let z = -3997 + 3995. Is a(z) a prime number? False Let u = 19 + -23. Let l be 0/(u/12*3). Suppose -8*v + v + 1897 = l. Is v prime? True Suppose 6*l - 10*l = 64. Let q be l/(-20)*(-445)/(-4)*46. Suppose 0 = 7*f - q - 5139. Is f a composite number? False Suppose -30 = c - 28. Is 108058/97*(0 - 11/c) a prime number? False Let b = 20 + -10. Is 269/((16/b)/8) composite? True Let c(i) = -10*i**3 - 8*i**2 + 32*i + 51. Let h be c(-34). Suppose -43*n = -h - 520288. Is n prime? True Let n = 67928 + -38449. Is n a composite number? True Let m(g) be the second derivative of g**7/504 - 7*g**6/720 + 7*g**5/120 + 2*g**4/3 + 4*g. Let y(n) be the third derivative of m(n). Is y(4) a prime number? True Let l be (96543/(-36))/((-1)/(-4)). Let m = l - -15448. Is m a prime number? True Let h = 756 - 1267. Let r = 2948 + h. Is r a prime number? True Is (-22)/(286/11700377)*(1 + -2) composite? True Let s = 469395 - 264166. Is s a composite number? True Let m = -683826 + 1069483. Is m composite? False Let h = 97116 + -21589. Is h a composite number? False Let y(q) = -q**2 - q + 24. Let n be y(4). Suppose n*w + p - 6626 = 0, 2*p + p = 3*w - 4977. Is w composite? False Let w = 84 - 96. Let n be 51/21 - w/(-28). Suppose 0 = -n*h - z + 794, -5*h + 4*z = -10*h + 1985. Is h prime? True Let r be 862 + 8 + 8/(-2). Suppose -3*z + 5*i + 1027 = 0, 4*z + 2*i = r + 538. Suppose -33 = 4*y - z. Is y a prime number? True Suppose 5*n - 4*n - 4*v = -8, -n - 5*v + 10 = 0. Let z(x) = x**3 + 70. Let h be z(n). Suppose -h = -2*i + 516. Is i a composite number? False Let y be ((-28)/140)/((-2)/170). Suppose 5*g = -s + 241750, -3*s = -y*g + 15*g + 96683. Is g a composite number? True Suppose 4*h = -5*p + 545, -4*p - 4*h = 183 - 615. Let t = 3090 - p. Is t a composite number? True Let n(z) = 5392*z**2 + 353*z + 1401. Is n(-4) prime? False Let l = 701009 - 352392. Is l prime? True Suppose -11522 = -4*w + 5*j - 7*j, 2*j - 14402 = -5*w. Suppose -3*a = -3*t - w, a + 0*a = 2*t + 965. Is a prime? False Let j be 2/2*9*6/(-9). Let n(f) = -9*f**3 - 5*f. Let h be n(j). Let r = h + -1096. Is r composite? True Let u(s) = 10066*s**2 - 52*s - 37. Is u(6) a prime number? True Suppose 3362 = r - 4*y, 7*r = 4*r + y + 10141. Let a = 7371 - r. Is a a prime number? True Let u(p) = 4*p**3 - 6*p**2 + p - 1869. Let q(v) = -13*v**3 + 21*v**2 - 4*v + 5609. Let w(f) = -2*q(f) - 7*u(f). Is w(0) composite? True Let w = 481373 - 318556. Is w composite? True Suppose -6 - 4 = -5*z. Suppose z*v = 3*v + 280. Let i = v - -435. Is i prime? False Suppose -7*i + 635 + 5420 = 0. Suppose -5*p = 11*p - 6528. Let w = i - p. Is w a prime number? True Let f(j) = 32*j**3 - j**2 - j + 1. Let p be f(1). Let q = p - 59. Is -699*3/(36/q) composite? True Suppose 6*w + 11 - 281 = 0. Let l be (w - -1) + 1 - 4. Let y = -18 + l. Is y composite? True Let h = 422769 - 232406. Is h a composite number? True Let d(w) = 12*w**3 + 77*w**2 + 88*w + 157. Let p(f) = -7*f**3 - 39*f**2 - 44*f - 79. Let v(y) = -3*d(y) - 5*p(y). Is v(-37) a composite number? True Let k = 112727 + 123882. Is k composite? False Suppose 4*h = 5*o - 5 - 12, -4*o + 28 = 4*h. Suppose 3*j + c = 3065, -h*j + j - c + 1021 = 0. Suppose z + x = 1281, x + 251 + j = z. Is z a composite number? False Let j = -196 + 76. Let q = j + 120. Suppose 10*v - 14*v + 3676 = q. Is v prime? True Let z(w) = -w**3 + 5*w**2 - 12. Let j(b) = 3*b**3 - 15*b**2 + 35. Let d(x) = 6*j(x) + 17*z(x). Let v be d(5). Suppose -v*n + 5*n + 145 = 0. Is n composite? True Let h = 1389 + -548. Is h a composite number? True Let c(f) = 13*f**3 + 3*f**2 + 23*f - 22. Let s be (-35)/21*3*-1. Is c(s) a prime number? False Suppose -3*k - 2*c = -1278197, -c - 3232422 = -5*k - 1102124. Is k a composite number? False Let n be (-1 + (-3)/(-6))/(1/(-84)). Suppose 5*o - 313 = n. Suppose 4*f + o = 5*i - 44, 115 = 5*i - 2*f. Is i prime? True Suppose 5*k = -4*u + 605896, 138*k - 137*k = 4*u - 605872. Is u prime? False Suppose 0 = 6*c + 3*c - 27. Suppose -c*r - 7 + 31 = 0. Is (2342/8)/(2/r) composite? False Let a = 1785 - -16214. Is a a prime number? False Suppose 15*w - 178*w + 352582 + 33749137 = 0. Is w a prime number? True Suppose -10*g = -14*g + 696. Suppose -5*i - 3*q + 1106 = 0, -i + q + g = -52. Let h = i + 84. Is h a prime number? True Suppose 517*u - 520*u = 33. Is (8247/3 - 0)/(u/(-33)) composite? True Suppose 40*j - 5*j = 202720. Let g = j + -2745. Is g a prime number? False Let z be 29/(-6) + 3*3/(-54). Let h be 184770/z - 4/(-1). Is h/(-18) - 10/(-45) composite? False Is 12689*69 + (-14 - -10 - 1 - -7) composite? False Suppose -3*n = -3*h - 2840724, 0 = -10*n + 7*n + h + 2840710. Is n a composite number? False Let x = 26 - 21. Suppose -x*u = -3*u - 6. Is (-1262)/u*(-21)/14 a prime number? True Suppose 9*m = 11*m - 84. Let o be (-15)/(-35) + (-3)/(m/(-20266)). Let p = -1005 + o. Is p prime? True Suppose 14*v + 2*i = 11*v + 753, -4*v + 3*i + 1021 = 0. Let n = 264 - v. Is n composite? False Is ((-191606)/(-14))/(442/3094) prime? True Suppose 291*i - 288*i - 82863 = 0. Let s = i - 13030. Is s a prime number? True Let y(p) = p**3 + 39*p**2 - 365*p + 365. Is y(64) a composite number? True Let d(b) = 29*b**2 - 76*b + 4. Let w be d(-5). Suppose -m + 4036 = w. Is m composite? False Suppose 3*i - 100269 + 9681 = 0. Suppose -36*c + i + 8288 = 0. Is c composite? False Let j(r) = -1333*r + 165. Let c be j(-21). Let i = 42871 - c. Is i composite? False Suppose -4*y - 8 = 0, 4*i + 5*y + 48 - 6 = 0. Let a(c) = 142*c**2 - 14*c + 27. Is a(i) a composite number? False Suppose 28*b - 31*b - 3*p = -190914, -2*b + 127278 = 4*p. Is b prime? False Suppose -242*o = -246*o + 16. Suppose -4*d = 3*z - 8*d - 27307, -o*d + 18238 = 2*z. Is z composite? False Let x be 0 + 3*1 + (-14 - -14). Suppose 5*m = -2*r + x*r - 652, -2*r + 1280 = 2*m. Let n = -227 + r. Is n prime? False Let a(y) = 11*y**3 + 3*y**2 - 2*y + 17. Let o be a(-5). Let t = -556 - o. Let j = t + -380. Is j composite? False Let z = -47 - -49. Let i be z - (11 - 3)/(-2). Let h(t) = t**3 - 4*t**2 + 2*t + 3. Is h(i) composite? True Let r(c) = -11464*c - 5359. Is r(-98) a prime number? True Let c(b) = -4*b - 3. Let a be c(-2). Let t = 24694 + -16931. Suppose t = a*g - 2372. Is g composite? False Let n(y) = 9631*y**2 + 15*y - 25. Is n(-3) a prime number? False Let u(w) = 33*w**2 + 19*w - 11. Let c(y) = y + 17. Let h be c(-14). Suppose h*a + 23 = -4. Is u(a) prime? False Let a(r) = -4*r**2 + 6*r - 43. Let o(n) be the third derivative of -3*n**5/20 + n**4/2 - 29*n**3/2 + 18*n**2. Let s(l) = -5*a(l) + 2*o(l). Is s(20) composite? True Let f = 291077 + -191116. Is f a composite number? False Let a(l) = -2*l**3 + 5*l**2 - 2*l + 8. Let x be 45/(-15) - (-6 + -1). Suppose -s + 4*g - 7 = 0, x*s + 3*g = -0*g - 28. Is a(s) a composite number? False Let y = 4075 - -297. Suppose -704 - 2561 = 3*x + 5*j, 4*x + y = -2*j. Let f = x + 1784. Is f a composite number? True Let t(o) = o**2 - o + 8292. Let j be t(0). Let f = 1047 - 1047. Suppose 8*r - 20*r + j = f. Is r a prime number? True Is (-1516)/(21/(882/(-60))) + (-1)/5 a composite number? False Is 2/10 - (2118580/250)/(4/(-60)) a prime number? False Let y(o) = 4026*o**2 - 9*o + 58. Is y(7) a composite number? False Let f(p) = -3*p - 4 + p + p + 2*p. Let u be f(1). Is (4293 - -1)*u/(-6) a composite number? True Let u(z) = 44426*z**2 - 9*z + 4. Let q be u(2). Suppose -14*c + 8*c = -q. Is c prime? False Suppose 19*t + 11 = 68. Let b(x) be the second derivative of 4*x**4/3 + x**3/6 + x**2 + 2*x. Is b(t) composite? False Suppose -4*r = -2*r + 3*y + 1789, 0 = r + 3*y + 887. Let b = 2115 + r. Is b prime? True Let i(m) = m**2 - 76*m + 5228. Is i(63) a composite number? False Let h(p) = 4583*p**2 - 5*p - 179. Is h(-13) composite? True Suppose -d - 5*j + 22477 = -5702, -j = -5*d + 140791. Is d a composite number? True Suppose 0 = -4*o + 2*o + 18. Let t(l) = 0*l - 6*l - 2*l + 16 - o*l. Is t(-11) prime? False Let t(h) = 2*h**3 - 9*h**2 + 3*h + 4. Let u be t(4). Suppose
{ "pile_set_name": "DM Mathematics" }
5, 3*n = 3*i - 15. Let p(r) = -6*r + n*r**2 + 5*r - r**2 + 5 - 15. Calculate p(k). -10 Let q be 3/(-1)*(-1)/9*3. Let p(j) = 29*j - 3. Give p(q). 26 Let a = 283 - 248. Suppose 0 = -4*f - 5*k - a, 2*k + 26 = 2*f - 6*f. Let d(p) = p**3 + 5*p**2 - 2*p + 7. Give d(f). 17 Suppose -2*u = -5*z + 46, -3*z - 5*u + 14 = -26. Suppose 6*a + z = 4*a. Let f(x) = 11*x + 6*x**2 - 48*x**3 + 2*x - 5 + 49*x**3 - 5*x - 7*x. Calculate f(a). 15 Let u(q) be the third derivative of 13*q**5/60 + 7*q**4/4 + 7*q**3/6 - 3*q**2 - 4*q + 5. Calculate u(-3). -2 Let v be 6*(1 + (-4)/6). Let m(u) = 9*u + 7. Let r(q) = -11*q - 9. Let z(b) = b**2 - 40. Let k be z(6). Let n(i) = k*r(i) - 5*m(i). Determine n(v). -1 Let d(m) = -m - 7. Let k(a) = -2*a - 19. Let t(f) = -3*f - 36. Let s(c) = -7*k(c) + 3*t(c). Let r be s(-5). Calculate d(r). -7 Suppose -30 = 3*q + 5*y + 37, 3*q = 2*y - 32. Let o(d) = -d**3 - 16*d**2 - 17*d + 34. Give o(q). -120 Let p(g) be the second derivative of g**6/360 + g**5/24 + 5*g**4/24 - 5*g**3/3 + g**2/2 - 73*g. Let j(z) be the second derivative of p(z). Calculate j(-5). 5 Let h(v) = 4*v**2 + 4*v**2 - 19*v + v**2 - 80 + v**2 - 11*v**2. What is h(-5)? -10 Let x be (-2)/(((-4)/(-6))/(-1)). Suppose -34 = 2*l - 82. Suppose -4*f + 4*d = l, 7*f - x*d + 20 = 3*f. Let z(r) = -4*r - 2. Calculate z(f). 6 Suppose -341 - 89 = -126*p + 40*p. Let s(l) = 2*l**2 - l - 7. Determine s(p). 38 Let z(q) = -14*q**2 - 4*q - 19. Let m(d) = d**2 + 2*d + 13. Let p(g) = 2*m(g) + z(g). Give p(3). -101 Let x(p) be the second derivative of p**5/20 + 5*p**4/12 + p**3/3 - 3*p**2/2 + 2*p - 797. Suppose -5*n + 3*i - 6 = 0, 0*n + 4*i = -n - 15. Determine x(n). 9 Let p(h) = 1008*h - 245*h - 244*h - 183 - 250*h - 254*h. What is p(12)? -3 Let q(x) = -2*x**2 - 6*x - 6. Let m be q(-3). Let g(l) = 7*l**2 + 3*l - 2. Let t(a) = a**2 + a. Let h(i) = m*t(i) + g(i). Let w = -369 - -371. What is h(w)? -4 Suppose 1003*n = 1008*n - 15, 15 = 6*x - 3*n. Let z(y) = 16*y - 12. Determine z(x). 52 Let j(g) = 12*g - 45. Let r(q) = -q**3 - 26*q**2 + 68*q + 338. Let k be r(-28). Calculate j(k). -21 Suppose 5*z = -392 + 167. Let q = z - -38. Let k(h) = h**3 + 8*h**2 + 7*h. What is k(q)? 0 Let t(b) be the third derivative of b**3 + 1/24*b**4 + 0*b - 4 - 6*b**2. Give t(-6). 0 Let q(f) = -f**2 + 11*f + 82. Let p = 3892 - 3876. Calculate q(p). 2 Let y(k) = -4*k - 63. Let b(l) = -l + 21. Let p(i) = 6*b(i) + y(i). Give p(6). 3 Suppose 4*g - 5*h = -24, 4*g - 11 = 2*h - 35. Let q(b) be the second derivative of 1/2*b**2 - b + 0 - 1/3*b**3. What is q(g)? 13 Let j(l) = -2*l**3 - 9*l**2 - 10*l - 13. Suppose -3*g = -4*v, v - 22 + 17 = 2*g. Let f be j(g). Let k(n) = -3 - 1 - 8 + 2*n - n. Give k(f). -1 Let l(t) = -t**3 - 9*t**2 - 8*t + 13. Let r = -8199 + 8191. Determine l(r). 13 Let r(i) = 54*i**2 - 9*i - 30. Let p(q) = -13*q**2 + 2*q + 7. Let a(v) = -25*p(v) - 6*r(v). What is a(-6)? 17 Let u(y) = -3*y + 17. Let f(a) = 3*a + 13. Let m(c) = -c - 2. Let x(v) = -5*f(v) - 20*m(v). Let b(o) = 8*u(o) + 5*x(o). Give b(-10). 1 Let a(d) be the first derivative of -10*d + 101 - 1/2*d**2. Give a(-11). 1 Suppose -128*r - 3408 = 156*r. Let m(a) = -a**2 - 15*a - 7. Calculate m(r). 29 Let w(x) = -x**3 - 6*x**2 - 2*x + 6. Let g be w(-5). Let o(s) = 323*s - 45. Let p(y) = -149*y + 22. Let n(f) = -6*o(f) - 13*p(f). Calculate n(g). -7 Let l(b) = b**2 + 5*b + 4. Let h be l(-4). Let q(a) = a**2 + 11*a - 76. Let j(t) = t**2 + 10*t - 68. Let f(n) = -12*j(n) + 11*q(n). Calculate f(h). -20 Let l(a) = 267*a + 25*a**3 - 46*a**3 - 23*a**3 + 2 + a**2 - 16*a**3 - 270*a. Give l(1). -60 Let x(a) be the third derivative of -a**6/120 + a**5/30 - a**4/24 - 17*a**3/6 - 12992*a**2. Calculate x(-2). 1 Let z = 3652 + -3648. Let r(q) = 13*q - 39. Give r(z). 13 Suppose p - 13 = -c + 3*p, 3*c + 16 = -5*p. Suppose 0 = 28*n - 30*n. Let f(x) = x**3 + 9 - 2*x**2 - 5 + n - 3*x. Calculate f(c). 4 Let h(x) = 321*x + 7 + 13*x**2 - 14*x**2 + 318*x - 632*x. Determine h(5). 17 Let v(h) = 54*h + 1475. Let p(g) = -136*g - 3686. Let w(i) = 5*p(i) + 13*v(i). Give w(-34). -3 Let c(w) = 54*w + 9. Let y(o) = -19*o - 4. Let r(a) = -6*c(a) - 17*y(a). Let m(p) = p**2. Let v be m(3). Calculate r(v). 5 Suppose -28*r = -30*r + 164. Suppose -r = -4*t - 86. Let c be t*(1 + 0 + 0). Let l(z) = z**2 + 2*z + 1. Calculate l(c). 0 Let z be 1/((-959)/161 - -6). Suppose 7 = -z*p + 22*p. Let t(u) = -3*u. Give t(p). 21 Let m(w) = 0*w**3 + 94 + 0*w**3 - 15*w**2 - 55*w - 47*w + 109*w - w**3. Give m(-15). -11 Let u(q) = -4*q - 2. Let m be (87/(-116))/((-21)/8)*28. Let i be -6*(-15)/(-21) + m/28. Give u(i). 14 Let m be -2*(-5)/20*-4. Let k(y) be the second derivative of -4*y**3 + 508*y + 1. Determine k(m). 48 Let n(c) be the first derivative of c**4/4 - 2*c**3 + 3*c**2/2 - 6*c - 844. Let j = 10 - 6. Let l = j + 2. Determine n(l). 12 Suppose -2*w + w + 27 = l, 21 = w + 4*l. Suppose -w = 5*n - 9. Let m(g) = -g - 1. Determine m(n). 3 Let t(r) = r**2 + 5*r + 1. Let x be (2/(-4))/((-2)/4). Let l be (2/(-4))/(x/(-12)). Suppose -1 = -b - l. Determine t(b). 1 Let w(m) = -1 + 2 - 6 - 3*m. Suppose -92*q + 4*c - 36 = -88*q, -11 = 3*q + c. Determine w(q). 10 Let u(t) = -t**3 + 2*t**2 + 3*t + 7. Suppose 36 = 7*a - 32*a + 111. Determine u(a). 7 Let a(u) = -2*u**2 - 2*u - 1. Let y(v) = -12*v - 3 + 3*v**2 + 9*v + 8 - 4 - 3. Let p(d) = a(d) + y(d). Give p(-3). 21 Let p = 426 - 134. Let t(x) = -x**2 + 301 + 0*x + x - p. Give t(-4). -11 Suppose 3*i + 5*y - 11 = 0, 3 = -2*i - 2*y + 9. Suppose -6 = -5*k + 4*m, k = 5*k - i*m - 6. Let z(v) = 0 + 3*v**k - 2*v**3 - 5 + 5. Give z(2). -4 Let s(k) = 455*k - 919*k + 7 + 469*k. Give s(-3). -8 Let z(x) be the second derivative of -x**5/20 - 3*x**4/4 - 5*x**3/3 - x**2 + 860*x. Calculate z(-7). -30 Let q(d) be the third derivative of 1/120*d**5 - 6*d**3 + 0 + 0*d + 17*d**2 + 7/12*d**4. Let i(c) be the first derivative of q(c). Calculate i(-9). 5 Let u(f) be the first derivative of -f**4/4 - 4*f**3/3 + 3*f**2 + 7*f + 1. Suppose -279*b + 2006 - 3401 = 0. Calculate u(b). 2 Let l = -113 + 158. Let n be (-210)/4 + 2/4. Let w = n + l. Let h(s) = s - 9. What is h(w)? -16 Let d(c) = -24*c + 8766 + 7*c - 8760. Calculate d(-1). 23 Suppose 0 = -k - 1 + 2. Let z be (1 + 2 - k)*2. Let y(n) be the third derivative of -n**4/12 + 638*n**2. Calculate y(z). -8 Let o(s) = -4*s**2 + 82*s + 42. Suppose -116 = -4*p - 4*n, 167*n + 60 = 4*p + 164*n. Give o(p). 0 Let j(o) = o**2 + 5*o + 0*o**2 - 6 - 14 + 10*o. Let t be (-640)/(-80)*(-3 + 4 - 3). Calculate j(t). -4 Let k(o) be the third derivative of -o**5/30 + 25*o**4/24 - o**3 - 227*o**2. Let f(t) = 4*t**2 - 46*t + 11. Let j(h) = 6*f(h) + 11*k(h). Give j(-2). 10 Let d(t) = t**3 + 3*t**2 + 3*t + 5. Suppose -55*v + 70*v = -60. Calculate d(v). -23 Suppose -t = -2*s - 5, -5 = 2*t + 2*s - 3. Let a(z) be the second derivative of -3*z**5/10 - z**4/12 + z**3/6 - z**2/2 + z. What is a(t)? -7 Let b(k) = 5*k**2 - 3*k**2 - 3*k + 1 - 3*k**2 - 5. Let q(f) = -f**3 - 58*f**2 - 4*f - 235. Let c be q(-58). Calculate b(c). -4 Let a(q) = 17*q**3 + 6*q**2 - 25*q + 44. Let m(t) = 27*t**3 + 9*t**2 - 37*t + 67. Let j(u) = 8*a(u) - 5*m(u). Give j(-6). -1 Let q(a) = a**3 + 10*a**2 + 6*a - 14. Let v(b) = 5*b**3 + 42*b**2 + 25*b - 56. Let k(o) = 9*q(o) - 2*v(o). What is k(6)? 10 Let z be (-81 + 80)*(-42 - (2 + -1)). Let j(m) = 3 + 1 + 3*m**2 - z*m - 4*m**2 + 36*m. What is j(-8)? -4 Let i(f) = -f**3 - 8*f**2 + 2*f + 15. Suppose -895*u + 923*u + 127 = -69. Determine i(u). -48 Suppose -5*o = 5*r + 35, -r + 9 = -13*o - 26. Let j(i) = -3*i + 0*i + 2*i - 3. Calculate j(o). 0 Let k be -1 - (4/(-18) + ((-808)/(-72) - -1)). Let x(c) = 6*c + 19. What is x(k)? -59 Let i(w) be the second derivative of w**3/3 + 2*w**2 - 6*w. Let k be ((-4)/14)/((27/63)/(-3)). What is i(k)? 8 Suppose 95*g + 407 = -163. Let j(q) = q**3 + 5*q**2 - 17*q - 76. Determine j(g). -10 Let z(x) = -15*x + 1. Suppose 3*y - 8*y + 3*l = 30, -y - 2*l - 6 = 0. Suppose 0*b - 16 = 4*b. Let c be (-45)/15*b/y. Give z(c). 31 Let t(z) = -z + 8. Let y be t(6). Let m(v) = -2*v + 3*v**y - 8*v**2 + v. Let n be (-6 - (-6 - -1))/(2/4). Give m(n). -18 Suppose -4*y - 81 = -109. Let h(a) = 3*a**2 - 26*a + 28. What is h(y)? -7 Let c(j) = j + 1. Let v(i) = 1. Let k(o) = 5*c(o) - 4*v(o). Let z = 0 + 14. Let q(p) = p**3 - 16*p**2 + 28*p + 3. Let f be q(z)
{ "pile_set_name": "DM Mathematics" }
se 0*m = 4*m. Suppose 14 = -z + 3*c, -2*z + m*c = 4*c - 22. Determine o*r(i) + z*n(i). i - 2 Let k be 4*3/(-18)*-3. Let h(j) = k + 3 - 3 - j. Let y(c) = -4*c + 9 - 1 + 0*c. Calculate 9*h(z) - 2*y(z). -z + 2 Let y(k) = -3*k**3 - 7*k**2 - 10*k. Let o(s) = -s**3 - 3*s**2 - 5*s. Calculate -7*o(t) + 3*y(t). -2*t**3 + 5*t Let a(v) be the first derivative of 5*v**4/2 - 16*v**3/3 - 10*v + 37. Let m(n) = -2*n**3 + 3*n**2 + 2. Calculate -3*a(d) - 16*m(d). 2*d**3 - 2 Let u(r) = -10*r**3 - 5*r + 5. Let f(j) = 5*j**3 + 3*j - 3. Determine 10*f(y) + 6*u(y). -10*y**3 Let w(l) = 7*l**2 - 4*l + 7. Let x(i) = i**2 + 1. What is -w(v) + 6*x(v)? -v**2 + 4*v - 1 Let k(a) = -a. Let z(p) be the first derivative of -p**2/2 - 2. Calculate -6*k(t) + 5*z(t). t Let d(q) = -10*q - 2. Let t(j) = 11*j + 2. Suppose -n + 23 = -6*o + 2*o, 27 = -3*o + 4*n. Give o*t(g) - 6*d(g). 5*g + 2 Let k(f) = 36 - 35 + 3*f + f. Let o(v) = -v - 1. Let a(n) = 3*n**2 - 1. Let u be a(1). Let y be (2 - (0 + u)) + 1. What is y*k(l) + 3*o(l)? l - 2 Let j = 3 - 5. Let u(g) be the third derivative of -1/3*g**3 + 0*g + 3*g**2 + 5/24*g**4 + 0. Let a(s) = -4*s + 2. What is j*u(w) - 3*a(w)? 2*w - 2 Let k(t) = -3*t**3 - 15*t**2 + 4*t + 6. Let f(p) = -3*p**3 - 15*p**2 + 3*p + 5. Give 6*f(o) - 5*k(o). -3*o**3 - 15*o**2 - 2*o Let t be -2 - 2/4*-2. Let q(n) = -3*n**2 - n - 4. Let i(b) = -b**2 - b - 1. Let s = -23 - -25. What is s*i(p) + t*q(p)? p**2 - p + 2 Let n(d) = -d. Let u(b) = 5*b**2 - b - 1. Let k be u(-1). Let l(c) = -c. Let p = -9 + 5. Determine k*l(s) + p*n(s). -s Let y(i) = 1. Let j(z) = 44*z**2 - 264. Give j(g) + 264*y(g). 44*g**2 Let f(l) = l**3 + 3*l - 3. Let d be 2*((-17)/(-2) - 3). Suppose 9 = 2*m - d. Let y(x) = -4*x**3 - 10*x + 10. Give m*f(b) + 3*y(b). -2*b**3 Let b(c) = c**2 + 2*c + 7. Let y(h) = -8 - 4*h + h**2 - 2*h**2 + 2*h + 0*h. Let v = 9 + -14. Calculate v*y(f) - 6*b(f). -f**2 - 2*f - 2 Let a(f) = 7*f**3 + 4*f**2. Let d(k) = -28*k**3 - 17*k**2. What is -9*a(l) - 2*d(l)? -7*l**3 - 2*l**2 Let z(y) = 9*y**3 + 7*y**2 - 7. Suppose -6*o + 11 = 53. Let b(c) = -8*c**3 - 6*c**2 + 6. Give o*b(f) - 6*z(f). 2*f**3 Let z(s) = -4*s + 1. Let k(f) = 5*f - 1. Let h be -1*3*(13 - 12). Let j be 6 + (0 + h - -1). Determine j*z(r) + 3*k(r). -r + 1 Let s = -18 - -25. Let n(c) = -26*c + 13*c + 10*c - 4. Let v(u) = 2*u + 3. What is s*v(i) + 5*n(i)? -i + 1 Let u(m) = -m + 11. Let v be (-13)/(-3) - (-1)/(-3). Let n(p) = -v + 5 + 0 + 1. Let x = 25 - 14. Determine x*n(o) - 2*u(o). 2*o Let j(c) = 44*c - 14. Let f(a) = 9*a - 3. Determine -14*f(q) + 3*j(q). 6*q Let s(f) = 2*f + 12. Let g be s(-5). Let q(n) = n - 11. Let d(i) = -1. Give g*q(u) - 22*d(u). 2*u Let l(o) = o + 2. Let m(y) = y + 2. Suppose 0 = -7*d - 25 - 10. Determine d*l(j) + 6*m(j). j + 2 Let c(t) = -t. Let s be c(8). Let f(p) = -5*p**3 - 6*p**2 - 8*p. Let j = 6 + -4. Let a(g) = -5*g**3 + g**3 - 3*g - 2*g**j + 2*g**3. What is s*a(x) + 3*f(x)? x**3 - 2*x**2 Let u(w) = w**2 - w - 1. Let x = 46 - 49. Suppose 14 = 3*z + 5. Suppose 7 = -z*n + 2*c + 2, 22 = 2*n + 5*c. Let y(v) = v**2 - 3*v - 1. Give n*y(k) + x*u(k). -2*k**2 + 2 Let m(d) = d**2 + 5*d - 5. Let v(j) = 0 + 14*j + 3 - 17*j. Calculate -3*m(i) - 5*v(i). -3*i**2 Let o(n) = 3*n**3 + n - 8. Let j = -9 + 14. Let w(a) = -2*a**3 - a + 7. Determine j*w(k) + 4*o(k). 2*k**3 - k + 3 Suppose 946 = -2*k + 936. Let s(q) = 2*q**2 - 5*q + 1. Let i(d) = -4*d**2 + 9*d - 2. Let r = 5 - 8. Calculate k*s(a) + r*i(a). 2*a**2 - 2*a + 1 Let r(p) = -9*p + 7. Let s(u) = 3*u + 4. Let y(b) = -b - 1. Let n(z) = 2*s(z) + 7*y(z). Calculate -6*n(i) + r(i). -3*i + 1 Let r(j) = -j. Let h(l) = l + 1. Let o be h(-5). Suppose 4*x + 3*d - 19 = 0, -2*x + 5*d + 8 - 31 = 0. Let m(f) = -3*f. Determine o*r(w) + x*m(w). w Let p(o) = o**3 - o**2 - 5*o + 5. Let w(j) = -j**3 + 6*j - 6. Calculate -6*p(q) - 5*w(q). -q**3 + 6*q**2 Let u(b) = -4*b**2 - 5*b - 2. Suppose 0 = -5*t + 82 - 57. Let y(s) = -7*s**2 - 9*s - 3. Let p(m) = -m. Let h be p(3). Determine h*y(o) + t*u(o). o**2 + 2*o - 1 Let n(d) = -d + 0*d**3 - 5*d**2 - 11*d**3 + 8*d. Let l(i) = -6*i**3 - 3*i**2 + 4*i. Let c be 5 - (-2)/(4/(-6)). Let p be (3 - 1)/c*-7. What is p*l(m) + 4*n(m)? -2*m**3 + m**2 Let i(v) = v**2 + 1. Let y = 1 + 3. Let p be 2/(y*1/2). Let h(o) = 3*o**2 + 4 + 4 - 4. Determine p*h(d) - 4*i(d). -d**2 Let c(f) = 8*f + 7. Let o(w) = w + 1. Suppose 2*d + 24 = -2*d. What is d*o(i) + c(i)? 2*i + 1 Let d be (1/(-4))/(1/(-20)). Let k(i) = 3*i + 9. Let f(n) = -2*n - 8. Give d*f(b) + 4*k(b). 2*b - 4 Let n(c) = 3*c - 2. Let r(m) = m + 1. Give -n(v) - 4*r(v). -7*v - 2 Let y(q) = 0*q**2 + 2*q**2 - q**2. Let i be (-32)/(-18) + (-4)/(-18). Let k(z) = 0*z**2 - 7*z**2 + 11*z**2. Calculate i*k(v) - 6*y(v). 2*v**2 Suppose -3*a = 8 - 2. Let l(y) = 2*y**2 + 2*y - 3. Let u(d) = -d**2 - d + 1. Give a*l(i) - 6*u(i). 2*i**2 + 2*i Let h(d) = 3*d + 8. Let i = -7 + 11. Let p(w) = -15 + 3*w - w - 5*w - i*w. Let t(s) = 5*h(s) + 3*p(s). Let c(r) = 7*r + 6. What is 5*c(x) + 6*t(x)? -x Let i(c) = -12*c**3 - 15*c**2. Let o(q) = -3*q**2 + 2*q**2 + 0*q**3 - q**3 + 0*q**2. What is i(t) - 15*o(t)? 3*t**3 Let d(x) be the third derivative of 0*x + x**2 + 0 + 0*x**3 - 1/24*x**4. Let g(w) be the second derivative of w**3/6 - 2*w. Calculate 3*d(t) + g(t). -2*t Let y(j) = 16*j**2 - 4. Let h(g) = -g**2. Calculate -20*h(v) - y(v). 4*v**2 + 4 Let u = 14 + -16. Let o(x) = 135*x + 55. Let p(c) = 5*c + 2. Determine u*o(y) + 55*p(y). 5*y Let j(c) = -2*c - 3*c - 3*c**2 + 2*c**2 + 3*c. Let d(a) = -a**2 - a. Let x(o) = 11*o**2 + 15*o. Let b(g) = -6*d(g) - x(g). Determine -2*b(l) + 9*j(l). l**2 Let b(f) = -3*f + 5. Let c(l) be the second derivative of -l**3/3 + 2*l**2 + 14*l. Let h be (1 + -2)*(-5 - -2). Calculate h*b(a) - 4*c(a). -a - 1 Let r(k) = 6*k**2 + 4*k. Let l(u) = -5*u**2 - 5*u. What is 3*l(h) + 4*r(h)? 9*h**2 + h Let u(x) = -14*x + 5. Let d(m) = -41*m + 16. What is -2*d(w) + 7*u(w)? -16*w + 3 Let b(n) = 7*n + 45. Let v(c) = -8*c - 45. Give 6*b(d) + 5*v(d). 2*d + 45 Let g(d) = -6*d - 45 + 4*d**3 + 39 - 6*d**3. Let q(l) = 7 - 2*l + 9*l + 2*l**3 + 0. Suppose -3*h + 10 = 4*s - 0, 4*h + s - 22 = 0. Give h*q(p) + 7*g(p). -2*p**3 Let v(w) = -13*w**2 - 13*w + 30. Let k(c) = 6*c**2 + 6*c - 15. Calculate 9*k(l) + 4*v(l). 2*l**2 + 2*l - 15 Suppose 0 = 5*o + 64 + 66. Let b = -13 - -19. Let x(d) = 17*d**3 + 13*d**2 - 17*d + 13. Let s(w) = 4*w**3 + 3*w**2 - 4*w + 3. Determine b*x(v) + o*s(v). -2*v**3 + 2*v Let i(q) = -5*q**3 + 5*q**2 + q - 5. Let z(r) = r**3 - r**2 + 1. Let w(v) = i(v) + 6*z(v). Let k(l) = 4*l**3 - 3*l**2 + 4*l + 4. Calculate k(s) - 3*w(s). s**3 + s + 1 Let i(q) = 6*q**3 - 3*q**2 - 3*q - 3. Let w(p) = -5*p**3 + 2*p**2 + 2*p + 2. Let u = -23 + 25. Determine u*i(g) + 3*w(g). -3*g**3 Let g(r) = -4*r**2 + 2. Let j be (32/10)/(-2)*5. Let u(z) = -6*z**2 + 3. Calculate j*g(m) + 5*u(m). 2*m**2 - 1 Let r = -4 + 7. Let z(y) = 5 - r + 3 + 3*y. Let w(g) = 1. Give -5*w(s) + z(s). 3*s Let o(t) = 2*t**3 + t - 2. Let c(v) = -4*v**3 - 2*v + 4. Let g(b) = b**3 - 13*b**2 + 12*b + 11. Let z be g(12). Give z*o(r) + 6*c(r). -2*r**3 - r + 2 Let l(u) = -u**2 - 2*u + 1. Let b(v) = 3*v - 1. Give 3*b(d) + 4*l(d). -4*d**2 + d + 1 Let n(a) = -a**3 + 5*a**2 - 6*a. Let m(h) = h**3 - 4*h**2 + 5*h. Suppose 3*o - 24 - 13 = 5*q, -3*o = 2*q - 2. What is q*n(k) - 6*m(k)? -k**3 - k**2 Let j be (-6)/8 + 17/(-4) + 0. Let s be (-3)/(-12) - (-25)/(-4). Let w(v) = 7*v**3 - 6. Let o(i) = -6*i**3 + 5. What is j*w(z) + s*o(z)? z**3 Let l(k) = 3*k**3 + 5*k**2 + 5*k - 5. Let p(a) = 4*a**3 + 6*a**2 + 6*a - 6. Let w = 33 - 39. Calculate w*l(o) + 5*p(o). 2*o**3 Let u(h) = 5*h + 8. Let j(w) = -3*w + 5. Let q(x) = 4*x - 6. Let d(z) = -5*j(z) - 4*q(z). Calculate -6*d(g) - u(g). g - 2 Let c(u) = -1. Let z(k) = k + 2. Suppose 22*a + 16 = 14*a. Determine a*c(p) + z(p). p + 4 Let h(d) = -8 - 12*d + 6*d + 0*d. Let c(b) = -5*b - 7. Let s(l) = -l**2 + l + 6. Let f be (0 - 1/2)*0. Let u be s(f). Give u*h(m) - 7*c(m). -m + 1 Let t = -1 - -2. Let c(r) = 1 + 0*r - r + r**2 + 0*r**2. Let k(u) = -4*u**2 - 7. Let f(l) = -l**2 - 1. Let a(p) = 3*f(p) - k(p). What is t*a(v) - 2*c(v)? -v**2 + 2*v + 2 Let y be 3 - 0 - -10 - 1. Suppose -a - y = -3*a. Let m(d) = d - 5. Let r(h) = -1. Calculate a*r(j) - m(j). -j - 1 Suppose -30*f = -31*f + 1. Let r(b) be the first derivative of
{ "pile_set_name": "DM Mathematics" }
t h be (u/10)/((-2)/(-5)). Solve h*b - 3 - 3 = 0 for b. 3 Suppose 3*s + 5*v - v = -76, s - 4*v = -4. Let f = s - -25. Suppose 4*r - f*r = 0. Solve c + c + 10 = r for c. -5 Suppose -4*q + 11 = -5*c - 10, 4*c = -20. Let j be q/3*-21 - -1. Solve -2*o - 2 = -j for o. 3 Let h(a) = 3*a**3 + 22*a**2 - 23*a - 30. Let n be h(-7). Solve 2*q + 28*q = -n for q. -6 Suppose -9 = -4*j - 5*b, -3*j = -0*j - 3*b - 27. Suppose -j*g - g - 672 = 0. Let y = g - -98. Solve -y*p = 2*p - 20 for p. 5 Let w(h) = -5*h**2 - 72*h - 58. Let p be w(-17). Let b = p - -318. Solve b*r - 44*r = -5 for r. 1 Let t(c) = -2*c**2 + 25*c + 15. Let z be t(13). Suppose -z*u - 2 = -8. Suppose -2*i + 2 = 2*s, 3 = -2*i + i + u*s. Solve w + 0*w = i for w. 0 Suppose -4*x - 4288*a + 184 = -4300*a, -2*x + 3*a + 56 = 0. Let u(t) = t + 4. Let s be u(6). Solve x*j - s = -60 for j. -5 Let p(g) = g**3 - 47*g**2 + 397*g - 986. Let d be p(37). Let w = -20 + 32. Solve w*c - d*c = 2 for c. -2 Suppose 2*s = k - 621, 3*k = 3*s + 8*k + 951. Let n be (-18)/63 - s/14. Solve n - 2 = 4*y for y. 5 Let z(b) = -b + 28. Let f be z(3). Suppose 8*a + f - 49 = 0. Solve a*q - 3 + 12 = 0 for q. -3 Let z(y) = -y**2 - 86*y - 1520. Let x be z(-61). Solve -81 = x*g - 56 for g. -5 Let p(n) = n**3 + 2*n**2 - 14*n - 3. Let h be p(3). Let m be 1*-3 - (63 - -9). Let i = m + 77. Solve i*g + 9 + 1 = h for g. -5 Let x = -2713 + 3337. Solve 4*z = -604 + x for z. 5 Let s be 67*(176/11 + -15). Solve -4*c - 51 = -s for c. 4 Suppose -x + 34 = -3*o, -40*x + 44*x - 70 = o. Solve -x*t - 10 = -11*t for t. -2 Suppose 0 = -6*x + 3*x + 6. Suppose -5*b - x*f - 4 + 0 = 0, -4*f = 2*b + 8. Solve 3 = -b*h - h for h. -3 Let k be ((174/24)/(-29))/((-1)/1532). Solve k*j - 32 = 391*j for j. -4 Suppose 5*a - 851 = 2*c - 853, -4*c - 5*a + 94 = 0. Solve -20*x - 144 = c for x. -8 Let p(g) = 6*g + 43. Let t be p(9). Let c = -95 + t. Solve c*d - 7*d - 25 = 0 for d. -5 Let m = -15251 - -15251. Solve m = 3*b - 453 + 459 for b. -2 Let i = 4979 + -4977. Let b be (0/1)/(2/(-2)). Solve b*f = -i*f + 6 for f. 3 Suppose 4*z = 725 - 713. Solve 18*k = -51 - z for k. -3 Let z = -740 - -755. Solve -z*y + 145 = 14*y for y. 5 Suppose -500*r = -620*r + 480. Let p(q) = -q**3 + 0*q**3 - 1 + 4*q**2 - 5*q**2 - q. Let u be p(-2). Solve m + r = u*m for m. 1 Let d = 131 - 123. Suppose d*p = 9*p + 6*p. Solve 0 = -p*c + 3*c - 15 for c. 5 Suppose 0 = 5*h - 5*j + 140, h + 2*j = -4*h - 161. Let s = -7 + h. Let w = -36 - s. Solve 0 = q - w - 0 for q. 2 Suppose 0*o + 2*o - 4*c + 10 = 0, 0 = o + 5*c - 30. Suppose -2 = -4*s - 2*w, 0*s = -2*s + w - o. Let l be (13/(-65))/(s/5). Solve -l = 2*x + 1 for x. -1 Let l(s) = 8*s - 27. Let p(k) = -7*k + 24. Let i(f) = 4*l(f) + 3*p(f). Let n be i(5). Solve -10 = -3*q - n for q. -3 Suppose 51 = -v + 2*k - 49, 3*v + 2*k = -260. Suppose -390 + 132 = 3*n. Let w = n - v. Solve -9 + 1 = -w*i for i. 2 Let p be 0/((-7 - -2)/1). Suppose 20*j - 22*j - 1 = u, 4*u - 2*j - 16 = p. Solve -u = -t - 2*t for t. 1 Suppose 0*y - 8 = -3*r + y, -r + 4 = y. Suppose -4*l = -r*l + 2*q - 2, -4*q = l + 6. Let v be (-1)/((-26)/(-52)*(-8)/12). Solve -v*j - 2*j - l = 0 for j. -2 Let q be (-113)/226*(-7 - 1) + 5*3. Solve 20*o - 4 = q*o for o. 4 Let o be (18/126 + 1*(-5)/35)/1. Solve o = -26*g + 37*g + 22 for g. -2 Let j(b) = 2*b**2 - b + 39. Let k be j(0). Suppose 4*l + k = 5*u + 742, -4*u - 569 = -l. Let x be 4/(-26) - 308/u. Solve -2*n = -0 + x for n. -1 Let i be 15/15 + 0*(-2)/4. Suppose 4*t = -88 + 436. Suppose -2*d = 4*y - 40, -4*d + 2*y + t = 27. Solve 3*r = -d + i for r. -5 Let v be (-5)/(((-5)/1)/5) + -12. Let z be v + (-670)/(-45) - 2/(-18). Solve -2*w + z*w + 12 = 0 for w. -2 Let v(s) = s - 2. Let y be v(2). Let a = -1225 - -1230. Solve a*t + y = -15 for t. -3 Suppose 5 = 12*o - 7*o + 3*x, 2*o + 2*x - 6 = 0. Let a be -1 + -3 + o + 11. Solve -a*k = -7*k - 8 for k. -4 Let u(x) = -x**3 - 8*x**2 + x + 10. Let n be u(-8). Suppose n*w + 7*w = 18. Solve -3 = d + w*d for d. -1 Let w = -1 - -5. Suppose 56 = 14*h - 10*h. Suppose 0 = -4*v - s + h, -24 + 6 = -2*v + 5*s. Solve v = -w*k + 3*k for k. -4 Let l(m) = -118*m + 11365. Let c be l(96). Solve -34*k + c - 275 = 0 for k. -7 Let a(k) = -k**2 + 7*k + 3. Let s be a(6). Suppose 89 = 2*z - 1. Let r be (1458/z)/6 - 3/(-5). Solve -r = f - s for f. 3 Let t(r) = 3*r**2 + 28*r - 365. Let c be t(-18). Solve 109*x = c*x + 36 for x. 6 Suppose -4 + 19 = -2*o - 3, q + 3*o + 22 = 0. Suppose 6*d - 25 = d. Solve -d = -2*l + q for l. 5 Suppose 224*i + 216*i - 407*i - 14058 = 0. Solve 427*c = i*c - 3 for c. -3 Suppose d + 5*s + 0 + 32 = 0, 0 = -5*d - 4*s - 76. Let h(c) = -c - 10. Let y be h(d). Suppose y*j + j = 6. Solve -j*i = i + 3 for i. -1 Suppose 9 = 4*x - 3*k, x + k + k - 5 = 0. Let g be 80/30 + (-13)/(-39). Let u(i) = i**3 + 4*i**2 - 2*i + 4. Let d be u(-4). Solve -d = g*p - x for p. -3 Suppose -21 = -3*c - k, 3*c + 3*k = 38 - 11. Let m(p) = -6*p**3 + 26*p**2 - 6*p - 5. Let z be m(4). Solve c + 6 = z*q for q. 4 Suppose 2*t + 9 = 17. Suppose p = -p + 5*o + 13, 0 = -t*p + o + 35. Let i be -12 + p + 7 + (1 - 1). Solve -2*u - 6 - i = 0 for u. -5 Suppose 46*f = -46*f + 7*f + 3655. Solve -25*z - f = 32 for z. -3 Let g = -16449 + 16485. Solve 24 = -20*a - g for a. -3 Let y(a) = -2*a**2 + 8*a - 52. Let t be y(8). Let d = -116 - t. Solve -w + 2*w + 3 = d for w. -3 Let p(o) = 12*o - 9. Let a be p(4). Let i(s) = -38*s**2 + a*s**2 + 21 + 11 - 4 - 15*s. Let w be i(13). Solve m + 5 = w*m for m. 5 Suppose -96*q + 3220 = -4*q. Solve 8*l = q*l for l. 0 Let h = 9590 - 9565. Solve -h = -4*y - y for y. 5 Let x be 6 - (-52 - (5 - 7)). Solve 70 = 42*d - x for d. 3 Let a(y) = y**3 - 4*y**2 - 19*y + 75. Let m be a(3). Solve -m*c - 231 = -42*c for c. 7 Let w(n) = -8*n**2 - 3*n + 4. Let q be w(-4). Let t = 127 + q. Suppose 0*d + 165 = t*d. Solve 0 = -2*h - d + 3 for h. -4 Suppose 36*v = 32*v - 1292. Let z = -320 - v. Solve -5 = -z*b - 2 for b. 1 Let l(b) = 1611*b - 7960. Let g be l(5). Solve -g = 156*m - 175*m for m. 5 Let z = 10870 + -10831. Solve -7*p - z = -11 for p. -4 Let p = 61 + -53. Suppose -w + 5*l + 30 = 0, p*l - 11*l - 62 = -5*w. Let n be w + 1/((-5)/25). Solve -3*t + 4 + n = 0 for t. 3 Suppose 223*l - 317*l = -11280. Solve -9*p - 156 = -l for p. -4 Let d(o) = 18*o**2 + 78*o + 84. Let x be d(-3). Solve 44 = x*r - r for r. 4 Let n be 63/9 + 16/(-4). Suppose n*h - 18 + 9 = 0. Solve 3*t + 0 = h for t. 1 Suppose 0 = 11*s - 7*s - 144. Suppose 19*q - s = 10*q. Solve -2 = -2*n + q for n. 3 Suppose -2*b + 3*q + 11 = 2*q, 2*b + 14 = -4*q. Let x = 55 + -52. Suppose x*j = 0, f + 8*j - 2 = 7*j. Solve 0 = b*s + 5 - f for s. -1 Let j(g) = g**3 - 88*g**2 - 12*g + 1065. Let r be j(88). Solve r*w - 47 - 7 = 0 for w. 6 Suppose 4*x - 336 = -3*v, -3*v = 3*x - 6*x - 294. Solve -57*u - 67 = v for u. -3 Let u be (-14)/42 - (-26)/6. Let h(j) = j + j - u*j + 14 + j. Let t be h(8). Solve 3*x = -3 - t for x. -3 Let m(l) = -l - 83. Let z be m(-11). Let t = -72 - z. Solve t*i - 6 = 3*i for i. -2 Let m = -15 + 58. Suppose h - 41 = 4*y - 8, h + y = m. Let b = h + -36. Solve -12 = -b*k + 8 for k. 4 Let w(j) = j**2 - 20*j + 95. Let n be w(10). Let t(x) = -2*x**3 - 4*x**2 + 29*x + 1. Let a be t(n). Solve 0 = 2*p + p + a for p. -2 Let l = -4 - -4. Suppose l = -71*p + 64*p. Solve p = -0*v - 2*v + 8 for v. 4 Let q be (-4)/18 + (-44857)/279. Let n = q + 164. Solve -n*g + 1 = -5 for g. 2 Let m = 31 - 11. Let y = m - 15. Suppose 0 = 4*s - 5*h - 25, 4*s + 5*h = -20 - 5. Solve s*r = y*r for r. 0 Let g(f) = -3*f - 6*f - 9 + 5*f + 0*f. Let d be g(-11). Let p = d + -32. Solve -p*x + 5*x = 10 for x. 5 Suppose 5*a + 23*a - 2024 = 6*a. Solve 0 = 14*g + 78 - a for g. 1 Let r = 324 - 739. Let g = r - -430. Solve -g*k + 17*k - 2 = 0 for k. 1 Let o be (7/(-6)*952/833)/((-2)/192). Solve -71*q + 39*q - o = 0 for q. -4 Let s(y) = 109*y - 951. Let x(h) = -22*h + 192. Let j(n) = -2*s(n) - 11*x(n). Let d be j(9). Solve -2*p = -d*p - 8 for p. -2 Suppose -54 = -2*n + 5*k, -2*n - k = -8 - 34. Solve -19*a - 16 = n for a. -2 Let k be 17/(-2)*(-4)/17. Let t be 0/(3*(-3)/(-9)). Suppose 3*n + d = 18, t = -4*n + 4*d + 10 + 30. Solve n*w = k*w for w. 0 Let r be (-6)/(-12) - 138/(-4). Suppose -30*g + 95 = r. Solve 2*z - g - 2 = 0 for z. 2 Suppose 0 = -r - 3*y + 56, 96*y + 7 = -r + 102*y. Solve 0 = r*g - 26*g - 9 for
{ "pile_set_name": "DM Mathematics" }
3*i + q = -5*i for i. -4 Let s(q) = -7*q + 117. Let y be s(16). Solve 19 - 9 = -y*a for a. -2 Suppose -4*h + 14 = 3*o, 1 = 4*o + 5*h - 18. Solve -3*v + 6*v - o = 0 for v. 2 Let o be 3 - 0 - (-12)/1. Suppose -10*v + o*v = 60. Solve w - 5*w = v for w. -3 Let m = 31 - 19. Suppose 0 = 2*t + 2*t + 4*q + m, 0 = t + 2*q + 6. Suppose -3*s = -2*z + 4, 0 = -t*z - 2*z + 4*s + 2. Solve 3*h - z = -2*h for h. 1 Suppose 22*q = 22 + 22. Solve -q*p = 16 - 10 for p. -3 Suppose -2*h = t - 11, 0 = h + 2*h + 3*t - 24. Suppose -h*o = -166 + 154. Solve -3 = -o*p + 13 for p. 4 Suppose 0 = 2*j + 2*v - 5*v - 20, 2*j - 4 = -5*v. Let d be (-4)/(-8)*-8 + j. Solve d*x - 20 = -2*x for x. 4 Let m(s) = -6*s + 6. Let u be m(-11). Let z be (2/12)/(4/u). Solve z*k + 2*k = 15 for k. 3 Let z = -7 + 11. Suppose z*j + 8 = -2*f, -5*f + 5*j - 2 + 12 = 0. Let r be (296/111)/(4/3). Solve f*m - 2 = -r*m for m. 1 Suppose 0 = j - 4 - 1. Suppose -6*b = -j*b. Suppose -y = -b*y. Solve y = c + 3*c for c. 0 Suppose 2*k = 5*g + 105, 21*k - 17*k + 3*g - 145 = 0. Solve 6*u + 14*u = -k for u. -2 Let t(o) = -o**3 - 25*o**2 - 2*o - 40. Let i be t(-25). Solve 6 = -2*j + i for j. 2 Suppose -o - 11 = -24. Solve 33 = 5*n + o for n. 4 Let d(g) be the first derivative of -g**2 - 2. Let i be d(0). Suppose 0 = 16*j - 13*j - 12. Solve i*r = r + j for r. -4 Let w(u) = 7*u - 1. Let p be 2/1 + (1 - -3). Let b be w(p). Let z = b + -21. Solve 3*n = -n + z for n. 5 Suppose -9*i = -7*i - 38. Suppose i*p + 13 = 20*p. Suppose 5*f - 20 = 3*t + 2, 2*f - p = -3*t. Solve -t = -r - 3 for r. -2 Suppose q = c - 2*c + 21, 4*c - 9 = -q. Let j = 40 - q. Solve 0 = 2*g + 5 - j for g. 5 Suppose 3*f + 21 = 5*q, -4*q + 6*f = 11*f - 39. Solve 9*o + q = 7*o for o. -3 Let m(u) be the second derivative of -u**5/20 - 7*u**4/12 - 5*u**3/6 + 5*u**2 + 19*u. Let x be m(-6). Suppose p = -2*p + 21. Solve -x*b - p - 9 = 0 for b. -4 Let h(p) = -p**3 - 6*p**2 - p - 4. Let o be h(-6). Solve -c + 0 = o for c. -2 Let c be 2 + (-5 - 92/(-12))*6. Solve -c*t - 27 = -9*t for t. -3 Suppose -g + 3*n + 22 = 0, g = -2*g - 2*n + 11. Suppose 2*a + f - g = 0, -f - 2*f = a - 11. Let s be 5 - 3 - (1 - -1). Solve s = b + 3 - a for b. -1 Suppose -2*j + 4*j - 8 = 0. Suppose 5*l - 9 - 11 = -k, 0 = l - k - 10. Suppose -2*o - 4*z = -20, 3*z - 31 - 47 = -l*o. Solve -j*d + o = -2 for d. 5 Let t(h) = 8*h - 31. Let b be t(6). Let s = -15 + b. Solve s*g = -g for g. 0 Let k(w) = -3*w + 13. Let p be k(5). Let h be (3 - 8)*p*1. Solve 3*t - 1 = -h for t. -3 Let b(w) = w**2 - 21*w + 71. Let t be b(17). Solve -c - t*c = 4 for c. -1 Suppose -10*z - 28 + 108 = 0. Solve -10*l = -z*l - 4 for l. 2 Suppose 2*m = 0, -17*q = -16*q - 3*m. Solve q*p - 11*p - p = 0 for p. 0 Suppose 2*h + k = -2*h + 15, 4*k = -5*h + 16. Solve h*n + 16 = -4 for n. -5 Suppose 0 = 5*q + 10, 4*p + 0*q + 338 = q. Let x = p - -89. Solve -2*l - 2*l + x = 0 for l. 1 Let d(l) = -l**2 + 16*l + 7. Let v be d(12). Suppose 3*o = 3*n + 10 + 11, n = 5*o - v. Let p = 12 - o. Solve p = -2*f + 3*f + 2 for f. -2 Suppose z = -3*k + 6*z + 21, k - 7 = 2*z. Suppose 5 + k = 4*q. Suppose d = -5, -4*g - q*d + 25 = -0*g. Solve g = c + 4*c for c. 2 Let t = 753 + -751. Solve 9*z + t = -25 for z. -3 Let k(d) = 2*d**2 - 27*d + 18. Suppose 5*g - 2*u - 63 = 0, 0 = -2*g - g - 2*u + 41. Let o be k(g). Solve 6*q - 1 = o*q for q. 1 Suppose y - 3*f + 11 = 0, 12 = 2*y + 2*y + 2*f. Let u = -115 - -114. Let s be (-5 + y + -1)/u. Solve 5 = s*a + 25 for a. -4 Let j = 49 - 136. Let a = j + 93. Solve 0 = 15*z - 12*z + a for z. -2 Suppose -22 + 162 = 35*o. Solve o*z - 6*z = -0*z for z. 0 Let b = -254 + 258. Solve -s = b*s for s. 0 Let f be ((-684)/(-209))/(-18) + 57/11. Solve -42*q - f = -43*q for q. 5 Suppose 0 = -4*i + 2*y + 10, -2*y - 15 = 5*i + y. Solve -17*g + 3*g = i for g. 0 Let n = 7 + -5. Suppose -b - 6*o = -2*o + 12, 8 = 4*b + n*o. Solve -c = -b*c for c. 0 Suppose -l + 6 = -30. Suppose -t = 2*t - l. Suppose -p - 2*p + t = 0. Solve 4 = -p*k + 8 for k. 1 Suppose -156 = 2*c + 4. Let j = 84 + c. Solve j*q - 11 = 1 for q. 3 Let p = -300 + 305. Solve -8*y - 19 - p = 0 for y. -3 Let r(z) = 10*z - 33. Let h be r(4). Let c be 2/(-3) - 44/(-3). Let p be 4/c - (-5)/h. Solve -2*x - p = 3 for x. -2 Suppose -5 = 5*q, -3*u - 3*q = -2*q - 8. Solve u*t - 2 = 1 for t. 1 Let m be ((4 - 3) + 1)/((-1)/(-4)). Solve -m*u - 4*u = -12 for u. 1 Let m(y) = -y**3 + 9*y**2 - 5*y - 15. Let p be m(8). Suppose h = 4*z - 2 - 5, -3*h + p = 3*z. Solve z = -g - 1 for g. -3 Suppose 17*y - 208 = -72. Solve -32 = -y*i - 0 for i. 4 Suppose 35*k - 135 - 215 = 0. Solve h + k*h = -22 for h. -2 Let i(s) = s - 3. Let o be i(3). Let g(r) = 4*r**3 + r**2 - 3*r + 1. Let c be g(1). Suppose 0 = 5*d + c*y - 54, -2*d + y + 17 = 2. Solve -3*n + d = -o*n for n. 3 Suppose -13*t = 2*t. Solve q + q - 4 = t for q. 2 Let v(i) = -i**3 - 25*i**2 + i + 34. Let x be v(-25). Let u be (-2)/((6/x)/(2/(-3))). Solve m = -1 + u for m. 1 Suppose -3*g = -5*g. Suppose -5*h = -3*n + 5, -2*n + 10 = 5*h + 15. Solve -2*c + n*c + 6 = g for c. 3 Suppose -5*g = -25, 13 = 18*j - 20*j + 5*g. Solve j*p + 50 = 20 for p. -5 Let d be (-7 + 4)*(-5)/3. Suppose 0 = -3*o + o - c + 39, 5*c = -2*o + 59. Let z be 0 - 3/(-3)*o. Solve -4*l = z - d for l. -3 Let k = 1 - -1. Suppose 0*m = 2*m + 3*w - 13, -k*m = 4*w - 16. Solve -8 = -m*a - 2*a for a. 2 Let l = 1333 + -1326. Solve -n = -l*n + 24 for n. 4 Suppose 16 = 4*j - 4. Let a = 7 - j. Suppose 0 = 3*t - 7 - a. Solve t*h = h for h. 0 Let z = -91 + 95. Suppose -2*i + 3*i - 19 = 0. Suppose 4*b - i = 41. Solve z*j + 3 = b for j. 3 Suppose -13*s = 22*s - 630. Solve -s + 14 = -2*j for j. 2 Let x(o) = 3*o - 1. Let f be x(1). Suppose -4*k + 3*g = -f, 9 + 1 = k + 4*g. Solve 0*u - k*u = -2 for u. 1 Suppose 454 + 586 = 52*w. Solve 8*y + w = -12*y for y. -1 Let m = -1959 - -1990. Solve -4*j - m + 19 = 0 for j. -3 Suppose 15 = -3*d + 8*d. Let u be 15/(-12) - (-27)/(-36). Let g be ((-3)/u)/(12/32). Solve 2*a - d*a - g = 0 for a. -4 Suppose -t + i + 13 = 0, 2*t + 6*i - 16 = 3*i. Solve -4*b - t - 9 = 0 for b. -5 Let i(q) = -6*q - 31. Let p be i(-13). Solve p*o + 8 = 43*o for o. -2 Let c(v) = v**3 - 5*v**2 + 5*v - 21. Let b be c(5). Solve b*h + 27 = 7 for h. -5 Let d be 2*-2*(-3)/4. Let z(v) = 2*v**2 - 4*v + 3. Let a be z(d). Solve 0*j = -3*j + a for j. 3 Let k = 354 + -354. Solve k*t + 2*t = 6 for t. 3 Let m(n) = -n**2 - 13*n + 0*n**2 - 24 - 2*n. Let o be m(-13). Solve o*f - 1 = 5 for f. 3 Suppose 3*p - 7*p = 20. Let y = 5 + p. Solve -2 = -y*u - u for u. 2 Let r be ((-3)/2)/(18/(-192)). Let z = -9 + r. Let k = z + -5. Solve 0 = k*p + 8 - 4 for p. -2 Suppose 4*h - 8*h - 12 = 0, -4*t = -4*h - 44. Suppose 4*r = 5*u - 32, 2 = 2*r + t. Solve 0 = -0*o + u*o + 16 for o. -4 Suppose -5*h = -h - 8. Suppose -5*b - 4*y = -0*b + 18, -2*y - 4 = 0. Let v be 4 - (-1 - 6/b). Solve 4*q - h = v for q. 1 Let j be 56/6*(-6)/4. Let m = j + 18. Suppose i + 9 = m*i. Solve -i*t + 2*t = -2 for t. 2 Let t = -124 - -133. Suppose -30 = -4*c - c. Solve -t = -5*r + c for r. 3 Suppose 11*o + 1 = 1167. Solve o*a = 111*a for a. 0 Let w be -2 + (-44 + -2)*-1. Suppose 5*d - 149 = -w. Let l = -433 + 433. Solve -5*m + d - 6 = l for m. 3 Let l = -12 - -47. Suppose 5 = -3*x + l. Let t be (24/x)/((-2)/(-5)). Solve 3*q + t = -0 for q. -2 Suppose t - 13 = -w + 22, 2*t + 50 = 2*w. Suppose w*x + 12 = 32*x. Suppose x = g + 1. Solve g = -3*m + 14 for m. 3 Let m(u) = u**3 - 7*u**2 + u - 5. Suppose 2*w - 21 = -3*p, p + 4*w - 14 = -p. Let r be m(p). Solve -2 = r*i - i for i. -2 Suppose -16 = -3*n + 2*k, 6*n = 2*n + 5*k + 26. Solve 76*r - 72*r + n = 0 for r. -1 Let f(j) = 6*j - 18. Let a be f(7). Suppose 2*x + x - 8 = -5*m, a = 3*m - 3*x. Solve 3 = h - m*h for h. -1 Let t = 9 - 30. Let o = t + 41. Solve o = -v + 5*v for v. 5 Let j = -3143 - -3149. Solve j*a = a for a. 0 Suppose 4*a + 4*t - 41 = -9, -28 = -3*a - 4*t. Solve -a*o + 4 = 4 for o. 0 Let c(o) = -19*o**3 + o**2 - 1. Let a be c(-1). Solve 4*j + 7 = a for j. 3 Suppose -5*r - 10*j = -8*j - 23, 6 = -6*j. Solve 0 = r*b - 6*b for b. 0 Let n = 171 + -171. Let g = -2 - -14. Suppose t - 4*t - 3*a = g, -4*a - 20 = 0. Solve z + n + t = 0 for z. -1 Let j(s) = 208*s - 821. Let u be j(4). Solve -16*w = 53 + u for w. -4 Suppose 221 = 11*n + 34. Solve n = 3*u + 11 for u. 2 Suppose 3*d = -j + 16 - 2, -
{ "pile_set_name": "DM Mathematics" }
t z(b) be the first derivative of 1/3*b**3 - 2 + 3*b + q*b**2. Determine z(-4). 7 Let b be 2 - (-3)/((-9)/(-3)). Let z be b*1*7/(-3). Let s(d) = -7*d + 14. Let g(p) = -2*p + 1. Let w(y) = -4*g(y) + s(y). What is w(z)? 3 Let a(z) = -z + 23. Let n(r) = r**2 + 28*r + 45. Let v be n(-27). Calculate a(v). 5 Let x(r) = -2 - 5 - r - 1. Let y(o) = -2*o - 2. Let f be y(-6). Let k be (54/(-45))/(2/f). Determine x(k). -2 Let m be ((-1)/(12/20) - -2)*3. Let y be m*4*(-6)/4. Let l(s) = -2*s - 6. Determine l(y). 6 Let q(r) = -r**3 + 7*r**2 - 7*r + 1. Suppose 0 = 5*d + 2*j - 31, -2*d - 4*j + 29 = 7. What is q(d)? 16 Let c be -2*(-1 - (-15)/10). Let b be (3*c)/((-5)/(-5)). Let j(q) be the first derivative of -q**4/4 - 4*q**3/3 - q**2/2 + q + 3. What is j(b)? -5 Suppose 5*c + c - 6 = 0. Let p(z) = -z - c - 8 + 1 + 1. Suppose -12 = -0*b + 2*b. What is p(b)? -1 Suppose 37 + 44 = -27*u. Let w(t) = -t**3 - 5*t**2 - 2*t - 1. What is w(u)? -13 Let k(b) = -4*b. Let j be -5*5/(-50)*(2 - 4). Let m be j - (-5 + -1)/(32/16). Determine k(m). -8 Suppose 9 + 19 = 5*y - x, 0 = -3*y + 3*x + 24. Let f(l) = 0 + 4*l**3 - 6*l**2 + 5 - 8 + 3*l - 3*l**3. Determine f(y). -13 Let p(r) = r**3 + r**2 + 10. Let w be p(0). Suppose -u = u - w. Let x(s) = -20*s + 6*s**2 - s**3 - 7*s + 5 + 35*s - 13*s. What is x(u)? 5 Let y(s) be the first derivative of 2*s**3/3 + 11*s**2/2 + 10*s + 118. Determine y(-7). 31 Let n be 4/1 - 7 - -8. Let v(i) = -i**3 + 3*i**2 + 14*i - 11. Calculate v(n). 9 Let x(r) = r**2 + 17*r + 6. Let u(j) = 2*j**2 + 29*j + 11. Let t(d) = -3*u(d) + 5*x(d). Calculate t(-3). -6 Let z = -1809 - -1803. Let p(m) = -m**2 + 2*m + 2. What is p(z)? -46 Let i(j) be the first derivative of -j**4/4 - 20*j**3/3 - 19*j**2/2 - 5*j - 134. Calculate i(-19). -5 Let p(n) = -n**3 - 4*n**2 + 4*n - 10. Suppose -75*h - 389 = -14. Give p(h). -5 Let r(c) = 5*c**3 + 20*c**2 - 4*c - 16. Let n(f) = f**3 + 4*f**2 - f - 3. Let q(j) = 11*n(j) - 2*r(j). What is q(-5)? -11 Let o = 326 + -316. Let n(m) = 2*m - 22. Calculate n(o). -2 Suppose -5*n - 21 = -12*n. Let c be ((-8)/12)/(-1)*n. Let o(u) = u**3 - u**2 - u. Determine o(c). 2 Let q(y) = -y**2 - 7*y + 91. Let c be q(-13). Let j(p) = p**3 - 12*p**2 - 14*p + 17. What is j(c)? 4 Let x(k) be the first derivative of 3*k**2 - 14*k - 11. Let v be x(3). Let r(d) = -d + 1. Determine r(v). -3 Let f(s) = 1 - 45*s**2 - 41*s**2 + 2*s + 85*s**2. Calculate f(2). 1 Let o(n) = n + 48. Let b(p) = -p**2 - 6*p + 40. Let s be b(-10). Calculate o(s). 48 Suppose 5*k = 3*i - 17, -4*k + 4*i = 6*i - 4. Let s(f) be the first derivative of f**2 - f + 117. Calculate s(k). -3 Let h(k) = -k - 1. Let q = 217 - 209. What is h(q)? -9 Suppose 4*u - 4*d + 32 = 0, -34*u = -35*u - 2*d + 1. Let v(s) = -s**2 + 5*s + 6. Determine v(u). -44 Let b(x) = -32*x**2 + x + 2. Let o(i) = 3*i**2 + 24*i - 28. Let c be o(-9). What is b(c)? -31 Let d(y) = 2*y + 29. Let p(n) = n + 14. Let m(i) = -2*d(i) + 5*p(i). Suppose 19 + 30 = -7*q. Determine m(q). 5 Let k(o) be the third derivative of o**6/120 + o**4/8 - o**3/2 + 275*o**2. Determine k(2). 11 Let c(v) = v + 22. Let f(o) = -o**3 - 13*o**2 + 16*o + 11. Let t be f(-14). Give c(t). 5 Let x(v) be the first derivative of -v**3/3 + 11*v**2/2 - 2*v + 15. Calculate x(10). 8 Let s(h) be the first derivative of 5/3*h**3 - 2*h - 1/4*h**4 - 9 + h**2. Determine s(5). 8 Let y(v) = -v**2 + 4*v - 1. Let z be y(2). Let t(o) = -2*o - 5*o**2 + 2*o**2 + 1 - o**z + 4*o**2. Suppose 19 = -n - 4*d, 5*n = -2*d - 2 - 3. Calculate t(n). -1 Let m(h) = h**3 + 5*h**2 + 6*h + 5. Let y be m(-3). Let t(x) = 8 - 4 - x**2 - y*x - 4. Determine t(-5). 0 Let c(p) = 2*p - 4. Let a(b) = 5*b - 13. Let h(x) = -3*a(x) + 8*c(x). Suppose 0*j + 2*j = -36. Let v = j + 15. Calculate h(v). 4 Let r = -1 + 4. Let w(j) be the first derivative of j**4/4 - 2*j**3/3 + j**2 - 3*j + 1. What is w(r)? 12 Let z(w) be the third derivative of -w**6/120 + w**5/15 + w**4/12 + w**3/6 + 3*w**2. Determine z(4). 9 Let r(w) be the first derivative of -10*w**3/3 + w**2/2 + w - 27. Let x = 1 + -2. Give r(x). -10 Suppose 5*y - 64 = 9*y. Let p = y - -20. Suppose p = -4*i - 16. Let l(r) = r**2 + 3*r + 2. Give l(i). 12 Let u(i) = -i**2 + 2*i. Suppose 3*f + k + 10 = 0, 0*f + 3*k + 16 = -2*f. What is u(f)? -8 Suppose -4*u + 2 + 2 = 0, -4*y - 5*u = -13. Let q(p) = 0 + p**3 - 4*p**2 + 3 + 4*p**2 - 3*p. What is q(y)? 5 Let a(b) = -4*b + 2. Let x(h) = 3*h - 1. Let s(v) = 2*a(v) + 3*x(v). Let f(w) = 5*w + 11. Let y(k) = f(k) - 4*s(k). What is y(-7)? 0 Let z(t) be the third derivative of -t**6/120 + t**5/60 + t**4/6 - 462*t**2. Determine z(2). 4 Let h(b) = 2*b - 7. Let t(z) = -z + 4. Let d(w) = -6*h(w) - 10*t(w). Let l = 33 - 35. Let k = 7 + l. Calculate d(k). -8 Let h(r) be the second derivative of -r**3/2 - 11*r**2/2 - 30*r - 3. Give h(-9). 16 Suppose -2*v + 2 = -8. Suppose -4*h + v = 5*r - 7, 5*h = 4*r - 26. Let i(p) = p**3 - 2*p**2 - 2*p - 3. Give i(r). 21 Let f = -50 + 41. Let w(c) = -2*c**3 - 25*c**2 - 11*c - 23. Let j(h) = h**3 + 12*h**2 + 5*h + 11. Let a(u) = f*j(u) - 4*w(u). What is a(-8)? 1 Suppose -5*q = 4 - 19. Suppose -q*h - h = -12. Let c(m) = 3*m + 8*m**2 - 17 + 21 - m**h - 11*m. Calculate c(7). -3 Let v be (2 - 0)*3*-1. Let x be 4/(-8)*v + 2. Let a(k) = -1 + 0*k + k**2 + 2*k - x*k**2. Determine a(1). -3 Let f(k) be the third derivative of 13*k**4/24 - 15*k**2 - 3*k. What is f(-1)? -13 Let s be (0 + -3)/((-6)/14). Let d(b) = 1 - s*b + 6*b + b + 9*b. Calculate d(-1). -8 Let b(u) = -10*u**3 - u**2 + u + 1. Let g = -4 + 15. Suppose g - 31 = -4*j. Suppose j*c - 15 = -5*h, -3*h + 1 = -c + 8. Determine b(h). 9 Suppose h + 41 = 5*g, 3*g + 5*h = 75 - 28. Let q(v) = v**2 - 5*v - 10. Determine q(g). 26 Let g(p) = -4*p**3 + 48*p**2 + 21*p - 29. Let z(m) = -m**3 + 16*m**2 + 8*m - 10. Let h(f) = 2*g(f) - 7*z(f). What is h(-15)? -3 Let o(m) = -6*m**2 - 4 - 15*m + 5*m + 7*m**2. Determine o(8). -20 Let k(x) be the second derivative of 0*x**4 - x + 0*x**3 + 0 - 11/60*x**5 - 5/2*x**2. Let t(h) be the first derivative of k(h). Give t(1). -11 Let l(s) = 3*s - 5*s + 3*s + 7 + 0. Determine l(-9). -2 Let s(y) = 32*y**3 - 2*y**2 + y. Suppose -3 = 3*t - 3*l, 5*t - 3*l - 13 = -7*l. Determine s(t). 31 Let o(y) = -y**2 + 3*y + 4. Let k be -1 + -38 + 6 + -3. Let t = -33 - k. Give o(t). 4 Let b = -1969 - -1950. Let p(n) = n**3 + 20*n**2 + 16*n - 49. Give p(b). 8 Let v(w) = w**3 + 2*w**2 - 2. Suppose 17 = 4*j - 11. Suppose 0 = -5*k + j + 3. Give v(k). 14 Let r(p) be the second derivative of p**4/6 + p**3/3 + 7*p**2 - 710*p. What is r(0)? 14 Suppose -5*z - 26 = 4. Let b = 10 + z. Suppose 3*m - 5*m + 8 = -4*n, -b*n - 4*m - 20 = 0. Let q(j) = j**3 + j**2 - 2*j - 3. Give q(n). -15 Let m(n) be the third derivative of -n**4/24 - n**3/3 + 14*n**2. Suppose -3*l = -4 + 28. What is m(l)? 6 Let t be (-12)/(-2 + 7/((-35)/(-20))). Let p(i) = -i**2 - 7*i - 7. Give p(t). -1 Let y(m) be the second derivative of 2*m**2 - 3*m + 0 + 1/6*m**3. What is y(-3)? 1 Let h = 53 + -100. Let b = h + 41. Let d(z) = z + 6. Give d(b). 0 Let r = -221 + 217. Let z(g) = -3*g**2 - 12*g - 10. Calculate z(r). -10 Let r(n) be the second derivative of -n**3/6 - 12*n**2 + 7*n + 29. What is r(-9)? -15 Let g(q) be the first derivative of q**4/4 + 2*q**3 + 7*q**2/2 - 2*q + 35. Give g(-5). -12 Suppose -2*i - 2*i + 4*q = -20, 0 = -i - 2*q + 5. Suppose -i*u = -c + 34, c + 19 = -3*u + 3*c. Let s(g) = g**3 + 6*g**2 - 6*g + 8. Calculate s(u). 1 Let o(n) be the third derivative of -n**5/60 - 5*n**4/24 - 5*n**3/6 - 14*n**2. What is o(-3)? 1 Let k(w) = w**3 + 5*w**2 + 3*w - 5. Suppose -10 = -2*q + q. Suppose 0 = -14*a + q*a - 16. Determine k(a). -1 Let f(m) = 6*m**3 - 9*m**2 - 8*m + 9. Let l(z) = -5*z**3 + 8*z**2 + 7*z - 8. Let b(s) = 4*f(s) + 5*l(s). Suppose 16 = v + 4*q, 3*q - 2*q + 9 = 3*v. Give b(v). 8 Let w(b) = b + 7. Suppose 4*s = -12, 4*s = -5*a - 2 - 0. Suppose -a*z - 2 = -12. What is w(z)? 12 Let b(j) = -j**3 - 6*j**2 - 3*j + 3. Suppose -6 - 34 = 8*s. Determine b(s). -7 Suppose 20 = -10*z + 30. Let a(q) = -18*q**3 - q**2 - q + 1. What is a(z)? -19 Let u(y) = y**2 - 12*y + 20. Suppose -4*j = x - 32, 4*j + 60*x - 61*x = 40. Calculate u(j). -7 Let d = 32 + -34. Let n be (3 + -2)*d/(-2)*-1. Let k(t) = 2*t + 10*t**2 - 3*t - 3*t**2. What is k(n)? 8 Let b(t) = t**3 - 4*t**2 + 3*t + 2. Let s(g) be
{ "pile_set_name": "DM Mathematics" }
180 - m**5/120 - 9*m**4/8 + m**3/6 - 8*m. Let d(c) be the second derivative of h(c). What is the tens digit of d(8)? 9 Suppose 5*h + 121 = -104. Let c be 18/h - 734/(-10). Let i = -50 + c. What is the tens digit of i? 2 Suppose 32*v - 65040 = 2*v. What is the units digit of v? 8 What is the tens digit of 1/((-4)/8) + 5/((-15)/(-35961))? 8 Let w(p) be the third derivative of 17*p**4/6 + 4*p**3/3 - 18*p**2. Let m(r) = r**3 - 11*r**2 - 2*r + 24. Let u be m(11). What is the hundreds digit of w(u)? 1 Let r be (-2)/(-8) + (-1761)/(-12). Let h be (-304)/16*(-20 + 1) + (-6 - -6). Suppose c + y + h = 6*c, -2*c + r = -3*y. What is the tens digit of c? 7 Suppose -d + p + 13 = 4, 40 = 5*d - 4*p. Suppose 5*b = 4*t + 31, -9 = d*b - 3*t - 34. Suppose -b*w = -100 - 5. What is the units digit of w? 5 Suppose 0 = 2*j - 10*g + 8*g - 5630, 4*j - 11270 = 2*g. What is the thousands digit of (7 + 180/(-24))/((-1)/j)? 1 What is the units digit of (1 - (-3)/(-2))*(-2 + 20206)*-1? 2 Let o be (5 - 2)*-11 + (6 - 9). Let f = o + 286. What is the units digit of f? 0 Let m(r) = 2*r**2 - 50*r + 69. Let c(l) = 25*l + 159. Let s be c(-5). What is the hundreds digit of m(s)? 6 Let g = 40 + 74. Let b = g - 6. Suppose 3*n - 3*z = b, 2*z - 25 = -3*z. What is the units digit of n? 1 Let j = -647 + 204. Let k = j + 870. What is the tens digit of k? 2 Let x(i) = -5*i + 9. Let j be x(-9). Let c = 368 - 368. Suppose 0 = 3*n - c*n - j. What is the units digit of n? 8 Suppose -20083 = -4*k + 16*n - 13*n, -5*n + 20107 = 4*k. What is the tens digit of k? 2 What is the thousands digit of 20361/(-6)*(-7 + 1 + 3 + 1)? 6 Suppose 264*g - 274*g = -21480. What is the tens digit of g? 4 Suppose 1596*l - 1593*l = 3*a + 55020, 0 = l - 2*a - 18342. What is the tens digit of l? 3 Suppose 0 = -h + 2*h + h. Suppose -4*j + 4*s - 9*s + 2021 = h, -5*j - 4*s + 2524 = 0. What is the hundreds digit of j? 5 Let w be 4926/34 + 34/289. Let h = w + 269. What is the tens digit of h? 1 Let h(k) = -8*k**3 + k**2 - 2*k + 2. Let g be h(1). Let l be g/(((-15)/24)/5). Let q = -29 + l. What is the units digit of q? 7 Suppose 3*m = 5*p + 237, -61 - 54 = 3*p + 5*m. Let n = 1240 + p. What is the units digit of n? 5 Suppose -4*g + 24186 = -2*i - 3626, 4*i - 6980 = -g. What is the tens digit of g? 5 Let h(a) = -2*a**2 - 5*a - 2. Let r be h(-3). Let b(p) be the first derivative of -p**4/2 - 7*p**3/3 - 5*p**2/2 + 4*p + 1696. What is the tens digit of b(r)? 0 Suppose 254*k - 80638 = 231*k. What is the units digit of k? 6 Suppose 26 = 4*o + r, -o + 4*r + 36 = 3*o. Suppose 0 = -5*u - 5*c + 55, -4*u + 2*u + o = -3*c. What is the tens digit of 144 + (-14)/56 + (-30)/u? 4 Suppose 2*x = 3*q + 12640, -3*q - 41 = -47. What is the thousands digit of x? 6 Let h = 23792 + -11894. What is the hundreds digit of h? 8 Let h(f) = f**3 - 6*f**2 - 6*f - 38. Let v be h(10). Suppose v*y + 40 = 297*y. What is the units digit of y/(-12)*138 + 2 + -4? 0 Let r(o) = -o - 12. Let h be r(-14). Let q(w) = h - 1 + 57*w + 96*w - 16*w. What is the units digit of q(1)? 8 Let f(g) be the third derivative of -1/120*g**6 + 0 - 21*g**2 + 0*g - 1/24*g**4 - 1/30*g**5 - 1/6*g**3. What is the units digit of f(-2)? 1 Let m be 9 + -1*(17 + -8). Suppose m = 5*g + f - 1045, -2*f + 836 = 4*g - 7*f. What is the hundreds digit of g? 2 Suppose m = 2*h + 3*m - 616, h - m = 318. Suppose r - 4*u - h = 0, 15*r - 4*u - 1517 = 10*r. What is the tens digit of r? 0 Let v(n) = n**2 + 2*n + 15. Suppose -8 = 11*x - 13*x. Let o = -11 + x. What is the tens digit of v(o)? 5 Let h be (-3)/(-8)*4*(-14928)/(-36). Let n = h - 215. What is the units digit of n? 7 Let z be (-2)/(-8) - (-14)/8. Suppose -20 = -z*y - 2*y. Suppose y*o + 24 - 69 = 0. What is the units digit of o? 9 Let r = 2255 - 748. Suppose m - 4*n = r, 2*m + n - 2978 = -0*m. What is the tens digit of m? 9 Let n(i) = -i**3 - 11*i**2 + 17*i - 55. Let t be n(-14). Suppose 126*x - 130*x = 28. What is the tens digit of x + 5 - (3 - t)? 9 Let u(s) = 17422*s**2 - 23*s + 24. What is the hundreds digit of u(1)? 4 Let w(d) = 3*d**3 - 23*d**2 + 38*d - 237. What is the ten thousands digit of w(31)? 6 Suppose -14*l + 8*l - 12 = 0. Let u be 4/l*((-36)/8 - -3). Suppose -5*x = -3*o + 290, 0*x = -u*o + 3*x + 282. What is the tens digit of o? 9 Suppose 7*o + 40 = 5*v + 2*o, 9 = -3*o. Suppose 2*t + 5 = v*y + 4*t, 2*y + 22 = 4*t. What is the tens digit of 178*y/5*(-20)/8? 8 Suppose 4*p + d = 179994, 22*p = 20*p - 7*d + 89984. What is the ten thousands digit of p? 4 Let w(l) be the first derivative of 7*l**2/2 - 5*l + 81. Let x(a) = 2*a**2 - 4*a + 3. Let u be x(2). What is the tens digit of w(u)? 1 Let k(q) = -q**2 - 2*q + 1. Let y be k(-3). Let n be 1*35/21 + (-2)/(-6). What is the units digit of n/(y/5 + 148/360)? 0 Let v(n) = -2*n**2 + 24*n - 5. Let x be v(12). Let c(i) = -61*i + 17. What is the units digit of c(x)? 2 What is the tens digit of (42/5)/((-7)/(-3710))? 5 Let i = 191 - 762. Let l = 1000 + i. What is the units digit of l? 9 Suppose -s = 4*f - 41, -s + 1 - 4 = 0. What is the units digit of 2/(-11) - (-19945)/f? 3 Let s(t) = 2*t**3 - t + 1. Let o(z) = 37*z**3 + 4*z**2 - 4*z + 8. Let d(g) = -o(g) + 4*s(g). What is the units digit of d(-3)? 3 Suppose -5*m = -3*b - 812, 4*m - 3*b = 92 + 560. Suppose -3*j + 200 + m = 0. What is the tens digit of j? 2 Let v(q) = -q - 2. Let t be v(-2). Let y be 6/(36/110) - (7/3 + -2). Suppose t = a - 14 - y. What is the units digit of a? 2 Let y = 11425 - -4124. What is the tens digit of y? 4 Let q(j) = -6*j - 7. Let t be q(-4). Let y = t - 17. Suppose h + y*p = -3*p + 22, 4*h + 5*p = 123. What is the units digit of h? 7 Let c(i) be the second derivative of i**3/6 + 111*i**2/2 + 4*i. Let j = 202 - 202. What is the hundreds digit of c(j)? 1 Let i = 424 - -6788. What is the units digit of i? 2 Let a = -2322 + 3264. Suppose -11*n + 5*n + a = 0. What is the tens digit of n? 5 Let i be (-22)/(-121) - (90/11 + -2). Let x be ((-879)/i)/(2/(-4)). Let g = 479 + x. What is the units digit of g? 6 Suppose m = -h + 3661, -7*h = -8*h + m + 3669. What is the thousands digit of h? 3 Let h = 546 - 545. Let p(m) = -m**3 + 5*m**2 + 3*m - 9. Let f be p(6). What is the tens digit of (-1)/(h/4) - f? 2 Let z(y) = -5*y**2 - 265*y + 411. Let b(u) = u**2 + 53*u - 82. Let x(v) = -11*b(v) - 2*z(v). What is the tens digit of x(-32)? 5 Suppose -7*h - 606 = -4*h. Let p = -136 - h. What is the units digit of p? 6 Suppose -30 + 18 = 4*z, -2*a - 2*z + 9164 = 0. What is the thousands digit of a? 4 Suppose 6*v - 79 + 43 = 0. What is the units digit of 11630/20 + v/(-4)? 0 Suppose -2762*x + 2581800 = -2662*x. What is the ten thousands digit of x? 2 Let o = -88024 + 127495. What is the thousands digit of o? 9 Suppose -10*q = -5*q + 5*h + 20, -h + 10 = -q. What is the units digit of (-189)/((-49)/q)*94/(-2)? 9 Suppose 2860 = -67*n + 72*n. Let g = 109 + n. What is the hundreds digit of g? 6 What is the tens digit of -6817*(4/(-6))/(228/18 + -12)? 1 Suppose 31*q - 3264376 = -32*q - 43*q. What is the tens digit of q? 9 Let t(c) = -3*c + 9. Let d be t(10). Let u = d + 26. Suppose u*r - 100 = 5. What is the units digit of r? 1 Let d(a) = -281*a - 1910. What is the thousands digit of d(-73)? 8 Let w = -492 - -495. Suppose r = w*u - 3293, 3*r = -u + 1120 - 39. What is the thousands digit of u? 1 Let p(s) = -s**2 - 3*s - 2. Let o(a) = a**2 + 8*a + 10. Let c be o(-6). Let w be p(c). Suppose -3*x + 6 = 18, w = -g - 5*x + 28. What is the tens digit of g? 4 Suppose 0 = -5*h - 28*i + 25*i + 125006, 5*h - i - 124998 = 0. What is the ten thousands digit of h? 2 Suppose 0 = -5*i + 449 - 89. Suppose i = 2*q + 7*q. Suppose -q*j = -3*j - 475. What is the units digit of j? 5 Let a = 592 + -216. What is the hundreds digit of a + (-2 + 3)/(-1*1)? 3 Let t = -41 - -43. Suppose -10*m = -t*m - 72. What is the units digit of 99*12/m + 4? 6 Let y = 157 + -79. Suppose -5*n + y = -22. What is the hundreds digit of (-16)/4*(-725)/n? 1 What is the thousands digit of 100302/16 + 1161/72 + -16? 6 Let j = 432 - 438. What is the hundreds digit of (-23 - -38)*(-64)/j? 1 Let c = 3650 + -1594. What is the units digit of c? 6 Let f(d) = 4190*d**2 + 54*d + 86. What is the units digit of f(4)? 2 Let m = -53 - -46. Let b(n) = 9*n**2 - 6*n - 4. What is the units digit of b(m)? 9 Let s
{ "pile_set_name": "DM Mathematics" }
t g(n) = -n**3 + 6*n**2 + 7*n + 3. Let u(h) = 17 + h**3 - 4*h**3 + 11*h**2 + 11*h - 2*h**3 + 6*h**3. Let q be u(-10). What is g(q)? 3 Let y be 4/(-1) - (3 - 10). Let h be y/(-9) + (-80)/(-15). Suppose -2*p + 2 = v - 2, 2*p = -h*v + 4. Let a(s) = 6*s**2 - 2*s - 1. Determine a(p). 19 Let m(p) = -3*p - 6. Let o(g) = -10*g - 17. Let f(b) = -8*m(b) + 3*o(b). Let a(s) = 8*s - 130. Let l be a(16). Determine f(l). 9 Suppose -527*b + 531*b - 20 = 0. Let x(j) = 3*j - 1. Calculate x(b). 14 Let i(r) = 11*r**2 + r - 5. Let b(q) = 11*q**2 + q - 7. Let u be 2/(-3)*(-4 - (2 + 0)). Let v(x) = u*i(x) - 3*b(x). Give v(-1). 11 Let s(h) = h**3 - 14*h**2 + 13*h - 1. Let j = -333 - -346. Calculate s(j). -1 Suppose 3*b - 4*b + 4*g = -10, -4*g - 4 = -4*b. Let t(z) = 10*z - 1. Let y(x) = -7*x + 1. Let j(k) = 5*t(k) + 7*y(k). Calculate j(b). 0 Let b(x) = x**3 - 5 + 4*x**2 - 4*x - 4*x + x. Suppose 5*i + 3*z = 18, 4*i - z - 17 = -6. Suppose 0 = 3*r - i*m + 6, 2*r + 2 - 7 = 5*m. Determine b(r). 5 Let u(m) = 4 + 2*m + 0 + 7. Let l = -2141 + 2133. Calculate u(l). -5 Let z(j) = -132 - 6*j + 2*j - j**2 + 0*j**2 + 59 + 79. Give z(-6). -6 Let q(l) be the first derivative of 1/3*l**3 - 3*l - 3 + l**2. Let k be 3/(-2)*8/(-6). Calculate q(k). 5 Let l(p) = 12*p**2 + 3*p + 0*p - 11*p**2 - 7*p - 3. Let z(b) = 2*b**2 - 9*b + 14. Let j be z(2). Determine l(j). -3 Let l(g) = -10*g - 18. Let j(r) = -13*r - 22. Let f(n) = -4*j(n) + 5*l(n). Let q = 8 + -3. Determine f(q). 8 Let f(k) = k + 17. Let u(j) = 3*j**3 - 25*j**2 - 18*j - 12. Let y be u(9). Determine f(y). 5 Let q(z) be the third derivative of -z**5/60 + z**4/4 + 5*z**3/6 - 3*z**2. Let g = -9 - -12. Suppose 21 = -0*c + g*c. Determine q(c). -2 Let f(t) = -t**2 + t. Suppose 0 = -2*k + 6*k - 56. Let w be (4/(-6))/(k/(-21)). Let c(z) = z**3 + z**2 + z - 4. Let b(u) = w*c(u) - 4*f(u). Calculate b(-5). 11 Let b = -20 - -22. Let q = 10 - b. Let d(k) = -k**2 + 7*k + 7. Give d(q). -1 Let i be ((-4)/3)/(2/(-6)). Suppose -i*v - 38 = 5*z, -5*v + z - 64 = -z. Let a be (-57)/(-18) - (-2)/v. Let y(g) = -2*g**2 + 4*g. What is y(a)? -6 Let p(w) = -w**2 + 5*w + 7. Let r be p(6). Let b(v) = 1 - 5*v**2 + r + v + 7*v**2 - 3*v**2. Give b(4). -10 Let w = -8 - -12. Let o(p) = -2 + 4*p - 7*p + w*p - 3*p**2 + 3 + p**3. Let d be ((-28)/(-21))/(2/3). Calculate o(d). -1 Let t(z) = 3*z**2 + 9*z - 2. Let y be t(-4). Suppose -o = 3*v + 11, o = 2*v + y + 4. Let c(p) = -p**3 + 3*p**2 + 4*p + 5. Give c(o). 5 Let m(i) be the first derivative of i**5/20 + i**4/4 - i**3/6 - 2*i - 1. Let t(b) be the first derivative of m(b). Suppose 31*j = -5 - 88. Calculate t(j). 3 Suppose -14*q - 13*q - 270 = 0. Let d(u) = u**3 + 9*u**2 - 11*u - 11. Calculate d(q). -1 Let j(t) = -t**2 - 13*t - 38. Let p be j(-4). Let y(l) = -l**2 - 2*l. What is y(p)? 0 Let w(z) = z**2. Let c be (-5 + 0)*(-6)/15. Let b be (c + 0)/2*(-72)/(-24). Calculate w(b). 9 Suppose 4*b = -g, 44*g - b + 15 = 48*g. Let s(p) be the second derivative of p**4/12 - p**3 + 2*p**2 - p. Determine s(g). -4 Let r(a) = 2*a. Let n(p) = p**3 - 28*p**2 + 23. Let i be n(28). Suppose 5*m = -2 - i. Give r(m). -10 Let y(m) = -13*m - 70. Let r(t) = 48*t + 279. Let g(b) = 4*r(b) + 15*y(b). Give g(20). 6 Suppose 3*s - 36 = 5*q, 0*s - q = s - 4. Let y(n) = -7*n**2 + 36*n - 26. Let v(k) = 4*k**2 - 20*k + 14. Let b(t) = 5*v(t) + 3*y(t). Determine b(s). -1 Let g = -4 + 5. Suppose -5*a + g + 4 = 0. Let m(p) = 0 + 5*p - p + 0 - a. Determine m(1). 3 Suppose 3*w = 5*w - 12. Let v(l) = -l**2 - 12*l - 9. Let g(n) = -269*n**2 + 4 + 138*n**2 + 13*n + 5 + 132*n**2. Let b(t) = w*v(t) + 5*g(t). Calculate b(-6). -3 Let b be (-2)/(-5) + (-1696)/40. Let k be (-1)/(-7) + 342/b. Let y(i) = i + 11. What is y(k)? 3 Let l(c) = 3*c**2 - 5*c. Let p(b) = 2*b**2. Let a(u) = l(u) - 2*p(u). Give a(-5). 0 Let g(y) = -y**3 + y**2 + y + 2. Let j(w) = -24*w**2 + 6*w - 7. Let h be j(2). Let x = 91 + h. Determine g(x). 2 Let y(f) = -f**3 + 10*f**2 + f - 8. Let r be y(10). Let o(t) = r*t**2 - 4*t**3 + 16*t + 2 + 5*t**3 - 13*t. Give o(-2). -4 Suppose 3*r + 2*r + 5 = 0, -g = r + 5. Let a(o) = -o**3 - 4*o**2 - 4*o - 5. Let n(x) = -2*x**3 - 9*x**2 - 9*x - 10. Let l(j) = g*n(j) + 7*a(j). Determine l(-7). -2 Let g = -64 + 103. Let f = 40 - g. Let o(a) = -10*a**3 + a - 1. Determine o(f). -10 Suppose -38*o - 56 = -52*o. Let n(u) = -4*u + 12. What is n(o)? -4 Suppose 7 = -26*t + 27*t. Let w(k) = 0*k**2 + 13 + t - 19 - k + 2*k**2. What is w(-2)? 11 Suppose 14 = -4*r - 6. Let d(o) = -7*o**2 - 12*o - 7. Let j(s) = 15*s**2 + 25*s + 15. Let p(x) = -13*d(x) - 6*j(x). Determine p(r). -4 Let y(g) be the first derivative of -3/8*g**4 + 0*g + 9 + 3*g**2 + 1/60*g**5 + 4/3*g**3. Let b(z) be the second derivative of y(z). Calculate b(6). -10 Let r be -1 - (-2 - -2 - 11). Suppose 2 = -2*z + r. Let p(u) = 4*u**2 + 10*u - 8. Let a(l) = 5*l**2 + 11*l - 10. Let s(d) = 5*a(d) - 6*p(d). Determine s(z). -6 Let f be (-1)/(58/10 + -6). Let z(c) be the second derivative of -5/12*c**4 - 12*c + 1/20*c**f + 1/2*c**2 + 0 + 1/6*c**3. Give z(5). 6 Let u = 57 - 56. Let n(z) = -3 + z + u + 2 + 2. Calculate n(-6). -4 Let m(s) = 7*s - 1. Let j(i) = i + 37. Let y be j(-18). Suppose -y = 14*d + 5*d. Calculate m(d). -8 Let m(x) = -3*x + 1. Let w be (-3 + 7)/2 - -2. Suppose 4*t - 4 = -4*i, w*t + 4 = -3*i + 6. Let k be i + 2 + -7 + 0. What is m(k)? 10 Let h(a) = -a**2 - 6*a. Suppose -7*u - 8 = -5*u. What is h(u)? 8 Let a(m) be the third derivative of m**8/3360 + m**7/2520 + m**4/6 + 4*m**3/3 + 2*m**2 - 8*m. Let v(z) be the second derivative of a(z). Give v(1). 3 Let f(s) be the second derivative of -5*s**3/6 + 14*s**2 + 195*s. What is f(5)? 3 Let j = -284 - -178. Let l = 102 + j. Let o(h) be the third derivative of h**5/60 + h**4/12 - h**3/2 - h**2. Calculate o(l). 5 Let i(l) be the second derivative of -l**4/12 + 2*l**3/3 + l**2 - 14*l - 3. Suppose 2*o - 17 = -7. What is i(o)? -3 Let b(m) = -6*m**2 - 3*m**2 + m + 7*m**2. Let v(n) = n**3 - 3*n**2 - 3*n. Let i be v(4). Suppose -5*u = i*j - 6, -5*u - 4*j + 7*j = -13. Determine b(u). -6 Let t = -59 + 53. Let k(x) = 3*x + 11. Let r(b) = 2*b + 10. Let i(w) = 3*k(w) - 4*r(w). Let n(f) = 6. Let z(y) = -2*i(y) - 3*n(y). Give z(t). 8 Let h(l) = l - 2. Suppose 15 + 75 = 5*f. Suppose -2*r = f - 14. What is h(r)? -4 Suppose 0 = -0*b + 5*b + 5. Let l = -6 - b. Let n(g) = -g**2 - 2*g + 1. Let p(c) = -c**3 - 9*c**2 - 10*c + 1. Let d(h) = -3*n(h) + p(h). Calculate d(l). -7 Let m(c) be the second derivative of c**3/6 - 2*c**2 - 220*c. Determine m(-4). -8 Suppose 2*f - f = -1. Let n(i) = 15*i**3 - i**2 + 3 + 8 - 10. Determine n(f). -15 Suppose -1101*j + 1096*j = 5. Let d(p) be the second derivative of p**4/4 - p**3/6 - p. Calculate d(j). 4 Let o(p) = 11*p + 28. Let a(v) = -18*v - 43. Let t(h) = -5*a(h) - 8*o(h). Give t(7). 5 Let k be 1 + (11 - (-245)/(-21)). Let y(p) be the third derivative of 1/4*p**4 - 1/60*p**5 - k*p**3 - p**2 + 0 + 0*p. Give y(3). 7 Let x be 3/(-1) + 7 - 14. Let b be x*-3*1/6. Let m(s) = s**2 - 6*s + 6. Give m(b). 1 Let m(y) = y**3 + 17*y**2 + 18*y + 17. Suppose -30*p + 33*p - u + 52 = 0, 0 = -p + 3*u - 28. Calculate m(p). -15 Let b(l) = -l**2 - 7*l - 8. Let m(k) = 2*k**2 + 12*k + 12. Let x(i) = 8*b(i) + 5*m(i). Calculate x(-4). 12 Let r = 23 + -61. Let w = r + 41. Let d(n) = -2*n - 4. What is d(w)? -10 Let z(q) = -2*q**2 + 4*q - 5. Let r(n) = -6*n - 50. Let i be r(-9). Calculate z(i). -21 Let m(p) = -p**2 - 2. Let b = -112 - -112. Calculate m(b). -2 Let w(g) = 6*g**2 - 12*g + 17. Let o(z) = 7*z**2 - 14*z + 20. Let s(l) = 5*o(l) - 6*w(l). Determine s(5). -17 Let a(z) = -14*z + 2. Let d(t) = -4*t. Let v(w) = a(w) - 3*d(w). Give v(-5). 12 Suppose k + 3*h = -0*k + 9, -5*k + h - 19 = 0. Let z(q) be the third derivative of -q**4/12 - q**3/3 + 76*q**2. What is z(k)? 4 Let d = -215519/120 - -1796. Let q(z) be the third derivative of -1/3*z**4 + 8*z**2 + 1/10*z**5 + 2/3*z**3 - d*z**6 + 0 + 0*z. Give q(5). -11 Let v(h) = h**3 - 6*h**2 - 7*h - 8. Let j(u) = -2*u**2 - 7*u + 37. Let d be j(-6). Give v(d). -8 Suppose 3*n - 6 = -0. Suppose 2*k - 2 = -g, 3*k = 5*k + 2*g - n. Let b(h) be the second derivative of h**5/20 - h**4/12 + h**2/2 + 71*h. Give b(k). 1 Let u(o) = 4*o**2 - 2*o - 1. Let a be u(2). Suppose -2*g - 5*v + 6 = -a, g = -4*v + 13. Let i(f) = 8*f**3 + f**2 - 1. Wh
{ "pile_set_name": "DM Mathematics" }
o) = p*a(o) + 12*d(o). Determine t(w(y)). 9*y**4 Let f(z) = 6*z**2. Let a(m) = -4*m + 3*m - 10*m + 0*m. Calculate a(f(o)). -66*o**2 Let q(u) = -u**2. Let z(c) = -21*c - 21. Let r(i) = -10*i - 10. Let f(g) = -5*r(g) + 2*z(g). Determine q(f(d)). -64*d**2 - 128*d - 64 Let q(y) = y**2. Let s(v) = -19084*v. Give q(s(f)). 364199056*f**2 Let f(b) = 5*b. Let q(a) = -4*a - 6. Calculate q(f(r)). -20*r - 6 Let a(i) = 225 - 225 - i**2. Let m(w) = -4*w. Determine a(m(h)). -16*h**2 Let y(o) = -o**2 + 2*o**2 - 2*o**2. Let i(q) = -2*q + 8. Suppose 0 = -5*g - 2 - 3. Let f(x) = -1. Let v(a) = g*i(a) - 8*f(a). Calculate y(v(z)). -4*z**2 Let f(u) = -u**3 - 4*u**2 - 2*u + 3. Let i be f(-3). Let r(c) = i*c - c + 2*c. Let k(d) be the second derivative of d**4/4 + 3*d. Give k(r(t)). 3*t**2 Let v(p) = 4*p**2 - 4*p**2 - 3*p**2. Let d(j) be the third derivative of j**6/360 + j**3/3 - j**2. Let x(t) be the first derivative of d(t). Calculate v(x(l)). -3*l**4 Let j(v) = 1102*v. Let s(w) = -w. Calculate j(s(n)). -1102*n Let r(i) = 2*i**2 - 5*i. Let s(a) = -9*a**2 + 24*a. Let t(f) = -24*r(f) - 5*s(f). Let b(v) = -v**2. Calculate b(t(n)). -9*n**4 Let l(m) be the first derivative of m**2/2 + 4. Let x(d) = 13*d**2. Calculate l(x(c)). 13*c**2 Let b(k) = -9*k**2. Let z(m) = -5*m. Let l(o) = o. Let c(t) = 6*l(t) + z(t). What is c(b(g))? -9*g**2 Let k(b) = -67*b - 3. Let s(j) = 6*j. Give s(k(r)). -402*r - 18 Let s(c) = -5*c**2. Let x(p) = -2*p + p**2 - p + 3*p. What is s(x(l))? -5*l**4 Let z(w) = 877*w**2. Let n(x) = x**2. Determine z(n(t)). 877*t**4 Let w(z) = 2*z**2. Let i(v) = -2*v - 5. Let d(r) = r + 2. Let c(j) = 5*d(j) + 2*i(j). Determine w(c(l)). 2*l**2 Let g(y) = 5*y - 7. Let u(b) = 5*b**2. What is g(u(h))? 25*h**2 - 7 Let z(k) be the second derivative of k**4/12 + 4*k. Let m(a) = 0 + 5*a + 0. What is m(z(g))? 5*g**2 Let u(o) = 9*o**2 - 8*o. Let t(n) = -2*n**2. Calculate u(t(w)). 36*w**4 + 16*w**2 Let p(q) = 10349*q**2. Let c(l) = 2*l**2. Determine p(c(w)). 41396*w**4 Let v(q) = 11*q. Let l(g) = 82*g - 1. What is v(l(t))? 902*t - 11 Let q(a) = -3*a. Suppose 0 = 7*i - 8*i + 2. Let r(c) be the second derivative of 0*c**3 + 0 + 0*c**i - 1/12*c**4 - 3*c. What is q(r(p))? 3*p**2 Let l(w) = -w. Let f(d) = d. Suppose 3 = 5*m - 7. Let g(c) = m*l(c) + 3*f(c). Let a(y) = 2*y**2. Calculate a(g(b)). 2*b**2 Let y(r) = -3*r. Let p(b) = -8*b**2 + 2*b**2 - 2*b**2 - 4*b**2. Determine y(p(i)). 36*i**2 Let g(z) be the first derivative of -4*z**2 - 13. Let r(s) = -s**2. Calculate r(g(q)). -64*q**2 Let k(l) = 2*l. Let z = -20 + 12. Let w(v) = 3*v**2 + 8*v. Let d(j) = -j**2 - 3*j. Let n(y) = z*d(y) - 3*w(y). Give n(k(x)). -4*x**2 Let f(x) = 2 - 3 + 1 - 12*x. Let v(u) = u**2. What is v(f(g))? 144*g**2 Let z(j) = -2*j**2. Let q(a) = -19*a**2. Give q(z(r)). -76*r**4 Let t(i) = -42*i**2. Let j(n) = 108*n**2 + n. What is j(t(f))? 190512*f**4 - 42*f**2 Let k(v) = -4*v**2. Let p be (5/3)/(35/42). Let i(z) = -4*z**2 + 0*z**p + 6*z**2. What is i(k(f))? 32*f**4 Let v(u) = 6*u**2. Let g(r) be the third derivative of -r**4/12 - 27*r**2. Give g(v(a)). -12*a**2 Let s(d) = -2*d. Let n(b) = -30*b**2 + 18*b**2 + 10*b**2. Determine s(n(m)). 4*m**2 Let b be (-3)/(3/(-2)) - -2. Let k(f) = f**2 - 3*f - 2. Let y be k(b). Let p(i) = 3*i + 0*i - y*i. Let m(c) = -3*c**2. What is m(p(n))? -3*n**2 Let n(j) = -5*j**2. Let l(u) = 53*u + 16. Let s(f) = 35*f + 10. Let m(r) = 5*l(r) - 8*s(r). Calculate n(m(w)). -1125*w**2 Let u(g) = -g**2 + g - 1. Let z = -2 + 0. Let d(w) = -w**2 - 2*w + 2. Let j(t) = z*u(t) - d(t). Let n(p) = -22*p + 51*p - 25*p. Determine n(j(y)). 12*y**2 Let c(d) = 2*d. Let x(v) be the second derivative of v**3/3 + 11*v. What is x(c(y))? 4*y Let y(a) = -5*a. Let r(z) = -z**3 + 5*z**2 - 3*z + 7. Let x be r(5). Let g = x + 11. Let d(b) = -7*b - g + 3 + 9*b. Determine d(y(k)). -10*k Let c be (1 - -2)/((-6)/(-4)). Let j(h) = 0*h**2 - 3*h**2 + h**2 - 2*h**c. Let i(n) = -1. Let b(u) = -u + 3. Let v(r) = 2*b(r) + 6*i(r). What is j(v(g))? -16*g**2 Let b(m) = 2*m. Let y(q) be the second derivative of -3*q + 0 + 0*q**3 + 0*q**2 - 1/3*q**4. What is b(y(o))? -8*o**2 Let b(r) = -11*r. Let h(u) = 2*u**2 - 21 + 21. Give h(b(d)). 242*d**2 Let w(v) = 59*v. Let q(k) = 3*k**2 + 5. Give w(q(o)). 177*o**2 + 295 Suppose k + 2*q - 100 = 6*q, -3*k + 300 = -5*q. Let f(y) = k - 100 + 2*y. Let d(p) = 2*p. Calculate f(d(x)). 4*x Let z(x) be the second derivative of x**4/3 - 2*x. Let g(n) be the third derivative of -n**4/6 - 2*n**2. Give z(g(b)). 64*b**2 Let x(q) = 1 - 1 + 4*q**2. Suppose -25 = -4*t + a, -10 = -t + 2*t + 3*a. Let k(u) = 2*u + t*u - 3*u - 2*u. Determine k(x(n)). 8*n**2 Let o(x) = -5*x - 2. Let z(b) = 26*b + 11. Let a(t) = -11*o(t) - 2*z(t). Let q(y) = 14*y - 2. Calculate a(q(v)). 42*v - 6 Let z(x) = -4*x**2. Let b(t) = -7*t**2 + 56*t. Calculate b(z(m)). -112*m**4 - 224*m**2 Let v(p) = 4*p. Let j(l) = -219*l**2. Determine j(v(t)). -3504*t**2 Let x(j) = -j. Let z(f) = -20*f. Let s(b) = 44*x(b) - 2*z(b). Let i(m) = 5*m. Calculate s(i(y)). -20*y Let i(w) = -24*w. Let l(y) = -5 + 11 - y - 6. Calculate l(i(b)). 24*b Let n(s) = 2*s. Let h(j) = 299*j + 91. Let p(l) = 13*l + 4. Let o(x) = 4*h(x) - 91*p(x). Calculate o(n(u)). 26*u Let b(j) = -1. Let z(l) = 4*l - 5. Let r(y) = -5*b(y) + z(y). Let u(a) be the third derivative of -a**5/30 - a**2. What is r(u(p))? -8*p**2 Let g(i) = -2*i. Let c(x) = 0*x + 0*x - 16*x**2 - 11*x**2. Determine c(g(j)). -108*j**2 Let c(o) = 3*o. Let j(p) be the first derivative of -1/2*p**2 + 0*p - 3. Determine j(c(m)). -3*m Let g(m) be the third derivative of -7*m**4/24 - 7*m**2. Let a(p) = 2*p**2. Calculate a(g(w)). 98*w**2 Let f(n) = -2*n. Let i(c) = 3*c**2 - 4*c + 4. Let x(k) = -k**2 + k - 1. Let j(q) = 3*i(q) + 12*x(q). Give f(j(y)). 6*y**2 Let z(c) = -c**2. Let o(n) = 989*n**2. What is z(o(j))? -978121*j**4 Let i(d) = 985*d + 1. Let p(w) = 4*w**2. Give i(p(b)). 3940*b**2 + 1 Let y be ((-10)/4)/(-5)*0. Let w(a) = y - 3*a + 0. Let h(k) be the first derivative of -k**3/3 - 11. Calculate h(w(o)). -9*o**2 Let c(n) = 4*n. Let j(d) = -d**2 - 114*d. Give j(c(u)). -16*u**2 - 456*u Let b(i) = 39*i + 18. Let a(d) = 11*d + 5. Let z(w) = 18*a(w) - 5*b(w). Let o = -9 + 17. Let g(r) = -19 + o + 11 + 2*r. Calculate g(z(m)). 6*m Let q(h) = -5*h**2 - 3*h - 3. Let k(b) = 4*b**2 + 2*b + 2. Let s(r) = -3*k(r) - 2*q(r). Let z(v) be the third derivative of v**4/8 + v**2. What is s(z(i))? -18*i**2 Let x(a) be the first derivative of a**6/120 - a**3 - 2. Let i(z) be the third derivative of x(z). Let s(j) = j. Give i(s(b)). 3*b**2 Let x(w) = -14 - 2*w**2 + 14. Let m(n) = -73*n**2. Determine m(x(a)). -292*a**4 Let y(n) be the second derivative of n**4/12 + 5*n. Let o(a) = -15*a. Give o(y(c)). -15*c**2 Let i(k) = 2*k**2. Let f(b) = -743*b**2. What is f(i(z))? -2972*z**4 Let f(v) = -v**2. Let p be (8 - 6) + (-59)/30. Let t(u) be the third derivative of 0*u + 0*u**3 - p*u**5 + 0*u**4 - 3*u**2 + 0. Calculate f(t(x)). -4*x**4 Let p(c) = 2*c. Let z(t) = -1312*t + 4. Calculate z(p(u)). -2624*u + 4 Let i(x) = -x. Let f(l) = -19*l. Determine f(i(o)). 19*o Let r(g) = g - 14. Let p(h) = 7*h. Determine r(p(u)). 7*u - 14 Let c(w) = 2*w**2. Let g(x) = 2*x - 5. Let i be g(4). Let f(m) = -5*m + i*m + m**2 + 2*m. What is c(f(s))? 2*s**4 Let a(k) be the second derivative of 47*k**3/6 - 23*k. Let n(r) = -2*r. Determine a(n(t)). -94*t Let z(q) = -5*q + 3*q + 0*q + 5*q. Let h(r) = -8*r. Calculate h(z(y)). -24*y Let d(k) be the first derivative of -1 + 25*k**2 - 24*k**2 + 5. Let m(b) = -b**2. Calculate d(m(f)). -2*f**2 Suppose q + 3*n + 13 = 0, q + 5*n - 2 = -25. Let i(x) = -4 + q*x - 4*x + 4. Let m(f) = 2*f**2. Give m(i(o)). 8*o**2 Let p(n) = 2*n. Let d(f) be the third derivative of -f**5/30 + 7*f**3/6 - 6*f**2. Let y(a) be the first derivative of d(a). Determine p(y(v)). -8*v Let f(h) = 35*h - 3. Let q(b) = 3*b. Give q(f(g)). 105*g - 9 Let d(g) = 2*g**2. Let r(p) = 2934*p**2. Calculate d(r(m)). 17216712*m**4 Let l(o) = -2*o**2. Let v(h) = 60*h - 35. Let w(n) = -5*n + 3. Suppose 2*i = 104 - 34. Let x(m) = i*w(m) + 3*v(m). Give x(l(u)). -10*u**2 Let t(q) = 7 + 5*q - 6*q - 7. Let u = 11 + -7. Let r(j) = 4 - u + 2*j. Determine r(t(v)). -2*v Let v(l) = 104*l**2. Let x(k) = 13*k**2. Let m(s) = 5*v(s) - 39*x(s). Let y(a) = 4*a**2. Determine m(y(d
{ "pile_set_name": "DM Mathematics" }
ive n(m). -2 Let q(w) = -w**2 + 6*w - 6. Let y = -53 - -57. Determine q(y). 2 Suppose -5*v = 0, v - 4*v + 20 = 4*n. Let w = -37 + 38. Let j(o) = -o**3. Let u(y) = -5*y**3 - 4*y**2 - 4*y - 1. Let k(m) = w*u(m) - 6*j(m). Give k(n). 4 Let b be (-2)/(-4) + (-10)/4. Let q be b/(-4) - 17/(-2). Suppose 4*v + q = -7. Let f(w) = -w**3 - 3*w**2 + 4*w - 5. What is f(v)? -5 Let a(z) be the first derivative of 0*z**2 + 12 + z + 1/3*z**3. Calculate a(1). 2 Let y(l) = l**2 + 3*l. Let d(o) = o**2 + 7*o - 2. Let q be (-2)/3 + 224/(-24). Let t be d(q). Suppose -6*v = v + t. Give y(v). 4 Let s(i) = 3*i**3 - 7*i**2 + 16*i - 10. Let j(k) = -10*k**3 + 20*k**2 - 49*k + 31. Let q(w) = 2*j(w) + 7*s(w). Calculate q(7). -8 Let a(o) = o**2 - 10*o - 4. Let d be (72/(-144))/((-1)/26). Calculate a(d). 35 Let d(w) = w**3 + 8*w**2 + 6*w - 6. Let q be 35*(3 - 6/3). Suppose 3*a + j - 18 - 77 = 0, 0 = a + 2*j - q. Suppose -a = 5*r + 4. Determine d(r). 1 Let i(a) = a - 1. Suppose 0 = x - 2*x + 15. Let m(w) = -x + 6 + w + 9. Let p(c) = -i(c) - m(c). Calculate p(2). -3 Let s(l) = -l + 1. Suppose 0*j = j - 4. Suppose j*x - 16 = 8*x. Let v be 0*(-1 - 0) + x. Determine s(v). 5 Suppose 4*y + 0 = 2*l - 2, -2*y + 11 = -5*l. Let q(u) = -5*u**2 - 4*u. Give q(l). -33 Let u(h) = -2*h - 8. Suppose 2*a = 0, -a + 2 = -t + 4. Suppose 5*k - 8 = -2*v, t*k = -k + 3*v + 9. Suppose -p - 2*l = 7 + 5, -18 = 2*p + k*l. Determine u(p). 4 Let t(p) = -4*p - 5. Let u(r) = r**2 - 65*r + 811. Let x be u(48). What is t(x)? 15 Suppose -q + 2 = -0. Let o(m) = -3*m**3 - m**3 - 2*m**q + 3*m**3 + 1 + 3*m - 4. Let r = 380 - 383. Determine o(r). -3 Let i(v) = -21*v - 2 - 3 + 4. Suppose -563*m = -3*d - 567*m + 5, 2*d - m + 4 = 0. Give i(d). 20 Let y(b) be the third derivative of b**5/60 - b**4/12 - b**3/6 + b**2. Let n be y(2). Let s(a) = 4189*a - 4191*a - 4*a**2 + 4*a**3 - 1 + 2*a**2. Determine s(n). -5 Let s(m) = -12*m + 1. Let w(b) = b. Let n(c) = 2*s(c) + 22*w(c). Let d(p) = p. Let z(o) = -3*d(o) - n(o). Let f be (-3)/1 - (-2 + -3). Calculate z(f). -4 Let s(w) = -5. Let f(t) = -2. Let r(b) = 7*f(b) - 3*s(b). Let u(p) = p - 8. Let i(x) = -4*r(x) - u(x). Give i(0). 4 Suppose 4*l = -0*l - 32. Let a(z) = -9 - 4*z - 2*z**3 - z**2 - 10*z - 14*z + 26*z. Let x(g) = -g**3 - g**2 - g - 6. Let y(k) = l*x(k) + 5*a(k). Calculate y(2). -5 Let c(v) = -2 + 2 + 129*v - 127*v + 4. Give c(-10). -16 Let u(x) be the second derivative of -x**5/20 + 5*x**4/12 + x**3/6 - 7*x**2/2 - 12*x + 9. What is u(6)? -37 Let j(r) = r**3 - 2*r**2 + 4*r - 2. Let n = 26 + -22. Suppose 7*u - 30 = 2*u. Suppose -n*p + u = -2. Determine j(p). 6 Let o = 86 + -82. Suppose o*z = -5*s - 8, 5*s - 3*z - 2*z + 35 = 0. Let i(w) = -w**2 - 5*w - 5. What is i(s)? -1 Let y(m) be the second derivative of 9*m + 13/2*m**2 - 1/6*m**3 + 0. What is y(6)? 7 Let a(y) = 2*y**2 - 37*y + 17. Let d(v) = -v**2 + 17*v - 7. Let f(m) = 4*a(m) + 9*d(m). Suppose -11 = -3*j - 4*c, -2*j - 4*c = -6*j + 24. Give f(j). 5 Suppose -5*g = -22 + 2. Let f be -3*(g + -3 + -2). Let a(l) be the first derivative of -l**4/4 + 4*l**3/3 + l**2 + l + 2. Give a(f). 16 Suppose -28*b + 248 = -59*b. Let w(p) = -p**2 - 6*p + 7. Determine w(b). -9 Let s(p) = 3*p + 1. Let q = -10 - -13. Suppose 0 = -3*t - 2*i + 11, -t + 8 = q*t - 4*i. Determine s(t). 10 Let r(v) = -v**2 + 11*v - 24. Let m = -991 - -998. What is r(m)? 4 Let w(n) = -2*n + 3. Let d be ((-20)/5 + -3)/(-1). Let h(g) = g + 9. Let p be h(-4). Suppose -d = -4*x + p. What is w(x)? -3 Let z(l) = -8*l + 9. Let n(f) = 33*f - 42. Let r(g) = 2*n(g) + 9*z(g). What is r(0)? -3 Let q be -2 + (2 - 0) - -1. Let v(a) = 4*a - 1. Let w be 1/6 + -33*4/(-72). Let u(t) = -t - 1. Let r(f) = w*u(f) - v(f). What is r(q)? -7 Let r(t) = -t**3 + 2*t**2 + 9*t**2 + t - 2*t - 6*t**2. Give r(2). 10 Let s(r) be the first derivative of -r**4/4 - 2*r**3 + r**2/2 + 5*r - 129. Calculate s(-4). -31 Let g(j) = 3*j - 32. Let z(s) = 2*s**2 + 25*s - 5. Let v be z(-13). Calculate g(v). -8 Let j be 24/4 - 3 - -11. Suppose -4*t - o = -0*o - 9, j = 5*t + 4*o. Let z(p) = 2*p + 3*p - 2*p. Give z(t). 6 Suppose 105 + 165 = -9*r. Let f be 3/(-3*(-5)/r). Let q(c) = -c**3 - 8*c**2 - 9*c - 1. Give q(f). -19 Let l(y) be the third derivative of y**4/24 + 5*y**3/6 - 6*y**2. Let t = 55 + -59. Give l(t). 1 Let o(y) be the second derivative of y**7/840 + y**5/120 + y**4/12 - 4*y**3/3 + 11*y. Let g(b) be the second derivative of o(b). Determine g(2). 12 Suppose -5*n + 2*n + 5*j - 1 = 0, 4*j = -3*n - 37. Let d(g) = g + 4. Give d(n). -3 Let l be -4 + (-15)/(1 - 4). Let q(s) = -21*s**2 - 1. Give q(l). -22 Let l(b) = -39 + 19 - 34 - b + 42. Let n = 0 + -5. What is l(n)? -7 Let t be 4*(30/(-4) + 7). Let p(a) = a**2 + 4*a + 4. Give p(t). 0 Let h(o) = 2*o**2 + 19*o - 28. Let m be h(-11). Let t(n) = n**3 - 6*n**2 + 7*n - 2. Calculate t(m). 8 Let x(p) = -p**3 - 5*p**2 - 4*p - 4. Let i = -1 + 11. Let l be ((-3)/(-5))/((-2)/i). Determine x(l). -10 Let h be 4/(-6) - (-336)/18. Let q = 20 - h. Let w(l) = l**2 - 3*l. Give w(q). -2 Let t(w) = w**3 + 24*w**2 - 53*w - 22. Let k be t(-26). Let m(c) be the third derivative of c**5/60 - 5*c**4/24 - c**3/2 + 3*c**2. Give m(k). -7 Let i(o) = 2*o**2 - o - 11. Let g(b) = 4*b**2 - b - 20. Let l(h) = 4*g(h) - 7*i(h). Determine l(2). 11 Let g(a) = -2*a - 4. Let w(u) = -u**2 + 12*u + 3. Let c be w(12). Suppose 4 = 2*n - 2. Suppose n*q + c = -6. What is g(q)? 2 Let l = -26 - -73. Suppose 1 = -8*v - l. Let n(y) = -y - 5. Determine n(v). 1 Let k be (-6)/(-21)*(-7)/(-4)*0. Suppose y + 5*f + 30 = 0, k = -y + 4*f - 0 + 15. Let x(a) = a**3 + 4*a**2 - 3*a + 4. What is x(y)? -6 Let d(q) = 4*q - 15. Let h be d(7). Suppose 4*z = g + h, -z - 2*z = -3*g - 12. Let x(b) = -b - 4 - b**2 + z + b. Determine x(-2). -5 Let w(o) = o**2 + 4*o - 12. Let a be w(-6). Suppose 5*v + a*v - 10 = 0. Suppose -v*j + 3*h + 24 = 0, 2 = j + h - 0. Let b(k) = -k**2 + 7*k + 8. Give b(j). 14 Let s(z) = 3 + 6*z - 13*z + z**2 - 5 + 6. Determine s(7). 4 Let x be 2 - (2/(-6))/((-3)/(-117)). Suppose -6*w = -x*w - 18. Let q(a) = -4*a. Give q(w). 8 Let c(a) = 11*a + 3 + 6242*a**3 - 3*a**2 - 6243*a**3 + 10*a. Calculate c(-6). -15 Let d(t) be the first derivative of t**4/12 + 2*t**3/3 - t**2/2 + 3*t + 12. Let o(n) be the first derivative of d(n). Calculate o(-3). -4 Let n(l) be the third derivative of -l**6/60 - l**5/60 - l**3/2 - 33*l**2. Determine n(-2). 9 Let u be (3 + -4)/(9/45). Let v(t) = -7*t - 32. What is v(u)? 3 Let p(a) = -4*a - 16. Let h(d) = -8*d - 27. Let j(k) = 3*h(k) - 5*p(k). Determine j(-4). 15 Suppose 2*c = h + 12, -3*h + c = 6*c + 80. Let k = h + 22. Let o(y) = 2 - 7*y + 2*y**3 + 4*y**3 + y**3 - 5*y**k - 6*y**3. What is o(6)? -4 Let z(g) = 17*g - 17. Let i(p) = 13*p - 17. Let q(v) = -5*i(v) + 4*z(v). Give q(-6). -1 Let s(u) = u**3 + 5*u**2 + 3*u. Let y be -3 + (30/(-27) - (-4)/36). Give s(y). 4 Let r be (-4)/8*-26 - 8. Let v(l) be the second derivative of l**5/20 - 5*l**4/12 + l**3/2 - 5*l**2/2 + l. What is v(r)? 10 Suppose 43 - 13 = -5*h. Let n = -56 + 63. Let y(p) = -2*p + 0*p + 4*p - 6*p**2 + 0*p + n - p**3. Calculate y(h). -5 Let j = -128 - -123. Let g(y) = -y**2 - 7*y + 3. What is g(j)? 13 Let m = 1145 - 1153. Let r(o) = 2*o**2 + 10*o - 2. Determine r(m). 46 Let i(m) = -24*m + 3. Let u(s) = 11*s - 2. Let c(a) = 6*i(a) + 13*u(a). What is c(-4)? -4 Suppose 2*m + 0 = -4*v + 26, -m + 2*v - 3 = 0. Let g(y) = -268 + 136 - m*y + 132. What is g(1)? -5 Let k(d) = 4*d**3 + d**2 - 5*d + 1. Let h(c) = 3*c**3 + 2*c**2 - 5*c + 1. Let j(x) = -5*h(x) + 4*k(x). Suppose -429*r = -432*r + 15. Calculate j(r). -1 Let y = -35 - -11. Let f be 2 + 0 + 1 + y. Let n be (-70)/f*3/(-2). Let i(r) = 2*r - 6. Calculate i(n). -16 Let o(q) = q**3 - q**2 + q - 1. Let d(b) = b**2 - b + 1. Suppose -4*w + 3 = -1. Let m(l) = w*o(l) - d(l). Calculate m(3). 13 Suppose -9 = -5*n + 2*v + 9, 4*n + 5*v + 12 = 0. Let o(g) = 10*g - 2. What is o(n)? 18 Let q(y) = -y**2 + 6*y - 2. Let c(o) = o**2 - 7*o + 2. Let f(l) = -2*c(l) - 3*q(l). Let j(z) = 2*z - 3. Let t be j(3). Give f(t). -1 Let m(s) = -s. Suppose -3*q - 3*a - 7 = 5, -a = -q. Let t be m(q). Suppose -21 = -t*d - d. Let o(z) = -z + 2. What is o(d)? -5 Let u be (-9)/7 - 4/(-14). Let j(x) be the first derivative of -x**2 - 4 + 2*x + 4*x - 5*x - 7. Give j(u). 3 Let v(c) = -4*c - 2 - c**3 + 0*c
{ "pile_set_name": "DM Mathematics" }
. Let s = 0 + j. Put s, -0.1, d in descending order. -0.1, s, d Let d(r) = -2*r**2 + r - 9. Let z be d(0). Let n(m) = m**2 + 9*m - 1. Let p be n(z). Put p, 3, -4, 2 in ascending order. -4, p, 2, 3 Let g = -18 - -22. Let q = 15 - g. Let s(f) = f**2 + 7*f + 4. Let m be s(-7). Put q, m, -2 in decreasing order. q, m, -2 Let m be 60/8*((-136)/(-24) - 5). Let r(l) = 6*l + l**2 - 4 + 7 - 2. Let d be r(-5). Sort m, 0, d in increasing order. d, 0, m Let o = -20.7 - -52.7. Put -4, 5, o, -5 in increasing order. -5, -4, 5, o Suppose -4*l - 5 = -5*n, 2*n = -6*l + 8*l + 2. Suppose -2 = -k - l. Let r = 1 - -2. Put 4, r, k in decreasing order. 4, r, k Let d = 91/3 + -30. Put 5, -1/4, d, 1/2 in decreasing order. 5, 1/2, d, -1/4 Let y(b) = b**2 - 3*b + 2. Let f(n) = -2*n + 31. Let i be f(13). Let r be y(i). Sort -4, r, 0 in decreasing order. r, 0, -4 Suppose -3*t + 3*d - 6*d = 0, -2*t = -3*d - 20. Put 0, 3, t in increasing order. 0, 3, t Let p be (-60)/(-12) + (-3 - 1). Sort p, -1, 5 in ascending order. -1, p, 5 Let z = -2.04 - -8. Let w = -6 + z. Let c = 1.04 + w. Put -0.3, 9, c in ascending order. -0.3, c, 9 Let t(b) = -b**3 - 7*b**2 + 3*b + 7. Let w(g) = -2*g**3 - 13*g**2 + 6*g + 13. Let x(q) = -11*t(q) + 6*w(q). Let h be x(-3). Sort 0, 0.5, h. 0, 0.5, h Let m be (-6 + 0)/(2/4 - -1). Let r = 12 - 7. Sort r, 0.3, m. m, 0.3, r Let c be (-1)/15*13 - (-58)/290. Sort c, -21, 6. -21, c, 6 Let b(v) = -8*v - 84. Let w be b(-11). Sort 0, -86, w, -5 in descending order. w, 0, -5, -86 Let v(w) = 15*w - 2. Let o be v(0). Sort o, -4, 3, 2. -4, o, 2, 3 Let i be 35/(-20) + (-3)/(-4). Let d be (-10 - -6) + (-4)/i. Sort 4, 3, 5, d in descending order. 5, 4, 3, d Let a = 30 + -26. Suppose 5*z - 4*s - 31 = 0, -23 = -z - 3*z + 5*s. Let u = z - 9. Put a, -5, u in descending order. a, u, -5 Let h(v) = 2*v + 3*v**2 - 3*v + 2*v**2. Let w be h(1). Put 5, w, -18 in descending order. 5, w, -18 Let d be -8 - (-28 - 9)/(-1). Sort d, -3, 2. d, -3, 2 Suppose -3*l - 7 = n, -4 = -5*l + l - 4*n. Suppose -5*r - 1 = -4*u, 4*r - 1 = 4*u + 3. Let z = -4 - u. Put 1, z, l in ascending order. l, 1, z Let r(t) = -2*t + 10. Let p be r(7). Let m be 4 + (-5)/3 - (9 + 69/(-9)). Sort -3, m, -1, p in descending order. m, -1, -3, p Let q be (-5)/3 - 3381/(-2277). Put 5, -46, q in decreasing order. 5, q, -46 Let l = 2.7 - -0.4. Let m = l + -2.9. Put m, -0.3, 4/5 in ascending order. -0.3, m, 4/5 Let h(i) = i**3 - 5*i**2 - 8*i + 14. Let v be h(6). Let r be 1/v - (-75)/30. Put 5, -5, r in decreasing order. 5, r, -5 Let q(a) = -5*a**3 - 20*a**2 - 16*a - 37. Let z be q(-3). Put -1, z, -5 in decreasing order. -1, -5, z Let m(v) = v**2 - 15*v - 122. Let c be m(-6). Put -159, 2, c in descending order. c, 2, -159 Let g = 1244 + -1244.4. Let r = 1/66 + -35/132. Sort 0, g, -0.1, r. g, r, -0.1, 0 Let h = -1.9669 + -0.0331. Put 3/4, -13.1, h in decreasing order. 3/4, h, -13.1 Suppose -2*u - 60 = 3*r, 2*r = 2*u - r + 72. Let l = u - -33. Sort -1, l, -3 in ascending order. -3, -1, l Suppose 13*v - 12*v - 3 = 0. Sort 16, 1, v. 1, v, 16 Let d = -55 + -4. Let o = 57 + d. Put 0, o, -5, -1 in decreasing order. 0, -1, o, -5 Let u = 6.17 - 1.93. Let k = 0.24 - u. Put 0.02, k, -2 in decreasing order. 0.02, -2, k Let o be (24/180)/((-24)/(-30)). Put -0.8, o, -2 in decreasing order. o, -0.8, -2 Let b = 26 + -35. Let p = -8 - b. Let y = p - 1.2. Sort y, -1/6, 1 in descending order. 1, -1/6, y Let z = -1401 - -1400.5. Put 6, z, -4 in ascending order. -4, z, 6 Let a = 13.3 - 22.6. Let d = a - 0.7. Let v = -7 - d. Put v, 2/15, -1 in decreasing order. v, 2/15, -1 Let c(p) = 57*p - 455. Let r be c(8). Put -2, 9, r, -1 in decreasing order. 9, r, -1, -2 Let z(t) = -2*t + 5. Let a be (-4)/18 + (-10)/(-45). Let i be z(a). Let c be (2/(-4))/(2/(-12)). Sort c, i, 4 in descending order. i, 4, c Suppose r - 2*m - 1 = 0, -13 = -6*r + r + 2*m. Suppose q + 2 = 2*v - 0, 0 = r*v - 3*q - 3. Put -5, v, 5, 4 in ascending order. -5, v, 4, 5 Let o(q) = 6*q + 29. Let k be o(-5). Sort 18, k, 1 in decreasing order. 18, 1, k Let y = -203 + 204. Sort 2/9, -7, y in decreasing order. y, 2/9, -7 Suppose -3*n + 0*r - 10 = -4*r, -4*r - 2 = 3*n. Let h(j) = -j**2 + 6*j + 31. Let q be h(9). Sort n, q, 0. n, 0, q Let j = -3 + 5. Let o = j + 4. Let d be (-1)/o*(-12 + 10). Sort d, -2/9, 2/3 in decreasing order. 2/3, d, -2/9 Suppose 0*y = -4*y + 24. Suppose 0 = a - 0*a - y. Put a, -2, -3 in ascending order. -3, -2, a Suppose 0 = -11*s + 14*s - 108. Let y be -6*(4/s)/((-1)/(-6)). Sort y, 0, -1 in increasing order. y, -1, 0 Let b = 271/516 - 14/129. Let a = 1/4 - b. Suppose 0*n - 5*n = -35. Put n, 4, a in decreasing order. n, 4, a Suppose 10*u + 27 = u. Let i(b) = b**3 + 12*b**2 + b + 8. Let c be i(-12). Suppose -6*y + y - 10 = 0. Put y, c, u in decreasing order. y, u, c Suppose 5*r + 3*k = 4*k - 15, 5*r + 15 = -3*k. Let t = 35 + -31. Sort -1, t, r. r, -1, t Suppose 442 = 8*w + 434. Suppose 52 = -6*l + 2*l. Sort w, l, 5 in ascending order. l, w, 5 Let l = 1/16 + -37/80. Let j = -248 + 253.08. Let y = j + -0.08. Sort l, -2, y. -2, l, y Let k(s) = -s - 12. Let w be k(-9). Let i = -27 + 29. Put -4, i, 0, w in decreasing order. i, 0, w, -4 Let a be (-48)/(-160)*5/9. Put a, -1/7, -2/11, 3 in ascending order. -2/11, -1/7, a, 3 Let i = -146 + 1165/8. Sort 9/2, i, -4 in ascending order. -4, i, 9/2 Let z = 236.9 - 237. Sort -5, z, -1/6, -2 in decreasing order. z, -1/6, -2, -5 Suppose 2*u = -5*k + 13, -3*k = 2*u - 0*u - 11. Let f be (1 + -2)/(2/6). Let o be -6 - (-6 + -12) - 7. Sort o, k, f. f, k, o Let l = 65.23 + -8.23. Sort l, 0, 4/7 in increasing order. 0, 4/7, l Let m = 2 + -2. Suppose s - 2 + 6 = m. Suppose -4*f - 3 - 7 = 2*a, 5*a = 2*f - 13. Sort 1, s, a in descending order. 1, a, s Let w(p) = 2*p + 9. Let s be (-4)/18*-3 - (-84)/(-18). Let x be w(s). Sort x, 4, 0, -2. -2, 0, x, 4 Let d be (27/6 - 5)*-1. Put 3, d, 0, -5 in decreasing order. 3, d, 0, -5 Suppose -4*k + 129*k + 375 = 0. Suppose -n - 3*i = 9, 3*i = -12 + 3. Suppose b + 4*o + 25 = n, -2*o = -3*b - 5 - 0. Sort 3, k, b in increasing order. b, k, 3 Let b = -433 + 432. Put -7, 0, 5, b in increasing order. -7, b, 0, 5 Let i = 3.1 + -3.6. Let w = -3.5 + i. Sort 1/5, 4, w in increasing order. w, 1/5, 4 Let i be -11 + (8 - (-1184)/392). Put -3, -0.02, i in decreasing order. i, -0.02, -3 Let z = -387 + 2711/7. Sort -1/7, 4, z in ascending order. -1/7, z, 4 Let r = 0.32 + 15.68. Let y = r - 16.03. Let g = y + 0.03. Put 7, g, -0.4 in descending order. 7, g, -0.4 Let s be -1*4/8*-2. Let i = s - 3. Put 5, 3, i in descending order. 5, 3, i Let g be ((-10)/(-8))/(89 - 84). Suppose -2*y + y - 2*s - 3 = 0, 0 = -4*y + 2*s + 8. Let j be (-4)/8 + y/(-4). Sort j, 7, g in increasing order. j, g, 7 Let c(g) = g**3 + 12*g**2 + 19*g - 10. Let t be c(-10). Sort -5, t, 10 in increasing order. -5, t, 10 Suppose -6 = 3*w - 12. Let b = -0.04 - -0.44. Sort 3/10, w, b. 3/10, b, w Let h be -1 + 9/54 + 25/(-6). Put 0, -4, h, 1 in increasing order. h, -4, 0, 1 Let j be (28/(-16))/((-2)/120). Let l be j/(-200) + 2/16. Let x(n) = 2*n - 9. Let q be x(7). Put q, l, -0.1 in increasing order. l, -0.1, q Suppose -84 = 2*o - 92. Sort o, 9, 5, 1 in increasing order. 1, o, 5, 9 Suppose 0 = -3*o - 3*c - 9, -2*c = -11*o + 8*o + 11. Suppose -2*t = 7 - 1. Put t, o, 3 in descending order. 3, o, t Let t = -17 - -19. Suppose -2*n = 2*x + x - 10, 0 = x + t*n - 10. Suppose 4*q + q - 10 = x. Sort 4/3, -3/2, q in decreasing order. q, 4/3, -3/2 Suppose 17 = -2*d - 171. Let c be d/(-10) + 4/(-10). Let k = c + -6. Sort -2, 5, k in descending order. 5, k, -2 Suppose 5*j - 3*j - 26 = -4*v, 5*j = -v + 29. Let o(n) = 4*n - 5. Let f be o(1). Sort 5, f, v. f, v, 5 Suppose -4*b = 3*h + 49, -3*h + 31 = -4*b - 0*b. Let x be (-8)/3*15/b. Suppose -24 = -4*d - x. Sort d, 2, -3 in descending order. d, 2, -3 Suppose 3*d + 0 - 6 = 0. Suppose d*b = 5 - 11. Let x = -100 + 95. Sort 5, b, x in decreasing order. 5, b, x Let n be -4 - (-16)/(5 + -5 + 2). Put 0, -1, -5, n in increasing order. -5, -1, 0, n Let y = -2.826 - -4.826. Let n = -4 + -1. Put -1.2, -4, y, n in decreasing order. y, -1.2, -4, n Suppose 0 = 4*f - 3*f - 3. Suppose -2*t = -3*j + 32, 0 = 7*j - 2*j - 4*t - 50. Sort -4, f, j, -5 in increasing order. -5, -4, f, j Let a(u) = -4*u - 27. Let b be a(-5). Let w = 2 - 5. Sort b,
{ "pile_set_name": "DM Mathematics" }
-40)/12*(-12)/10. What is the remainder when 41 is divided by ((-14)/s)/((-5)/30)? 20 Let i(s) be the first derivative of 1/4*s**4 - s**2 + 2 - 2/3*s**3 - 3*s. What is the remainder when i(4) is divided by 12? 9 Suppose -p + 3 = 6. Let v(q) = -q**3 - 2*q**2 + q - 1. Let o be v(p). Let f = o + 57. Calculate the remainder when f is divided by 16. 14 Let o(c) = -5*c - 4. Let v be 12/(-54) - 25/9. Let u(p) = 3*p**2 - 3*p - 4. Calculate the remainder when u(v) is divided by o(-3). 10 Let q = 7 + -4. Suppose q*s - 6*s = -6. Let x = s - -1. What is the remainder when 7 is divided by x? 1 Suppose -d = q + 28, 6*d = 2*q + d + 21. Let c(p) = -p**2 - 6*p - 1. Let r be c(5). Let b = q - r. Calculate the remainder when b is divided by 9. 6 Suppose 4*y = -2*v + 62, -4*y - 204 + 32 = -4*v. What is the remainder when v is divided by 2*((-18)/(-2) - 2)? 11 Let x(q) = 2*q - 7. Let c be x(5). Suppose 8 = 2*f, 0*f = -4*w - c*f + 140. Calculate the remainder when w is divided by 11. 10 Suppose -6*o = -o. Suppose 2*p - 17 = -m, o = 3*m - 6*m - 3*p + 57. What is the remainder when 60 is divided by m? 18 Let l = 69 + -45. Calculate the remainder when l is divided by 13. 11 Let q = -36 - -61. Calculate the remainder when q is divided by 13. 12 Let s = -66 - -111. Suppose p = -2*p + s. Suppose -2*k = -10, -2*y = -y - k - 23. What is the remainder when y is divided by p? 13 Let o = 21 + -13. Let q(n) = n**2 - n + 5. Calculate the remainder when o is divided by q(0). 3 Let p = -246 - -271. Let f = 0 - 1. Calculate the remainder when p is divided by f + 3*(-20)/(-6). 7 Calculate the remainder when (93/9)/(4*4/48) is divided by 16. 15 Let r = -6 + 19. What is the remainder when 24 is divided by r? 11 Let s = -16 + 18. Suppose o = -4*w + 26, -3*o = -w - 2*w - 3. Calculate the remainder when o is divided by s. 0 Let b = 11 - 9. Let o = 9 - b. Let l = 13 + 7. Calculate the remainder when l is divided by o. 6 Let j be 2 - (2 - (0 - -2)). Suppose j*f = 0, 5*f = -2*p + 82 - 12. What is the remainder when p is divided by 18? 17 Suppose 43 = 5*j + 8. Let y = 13 - 9. Calculate the remainder when j is divided by y. 3 Let z(j) = j**2 + 8*j + 10. Calculate the remainder when 56 is divided by z(-9). 18 Let w = -4 + 39. Suppose -2*z + z = -12. What is the remainder when w is divided by z? 11 Let j be (-6)/(-5)*40/6. Suppose 70 = j*h - h. Calculate the remainder when h is divided by 7. 3 Let n = 34 - 17. Let j be 9*3*(3 - 2). What is the remainder when n is divided by j/2*(-4)/(-6)? 8 Suppose -3*x + 0*z = -5*z - 24, -3*x - 5*z = -24. Calculate the remainder when -31*(-1 - (3 + -3))/1 is divided by x. 7 Let z = -70 + 76. Calculate the remainder when 33 is divided by z. 3 Let l = 19 - -145. What is the remainder when l is divided by 33? 32 Let t = 13 + -3. Suppose 2*d + 2 + 0 = 0. Calculate the remainder when d/(-5) - 376/(-20) is divided by t. 9 Let m be (6/(-4))/(15/(-40)). Suppose 2*v - m*v = -8. What is the remainder when 11 is divided by v? 3 Let t = 1 - -4. Suppose -2*l - t*m = 9, -5*l + m = 4*m - 6. Calculate the remainder when 11 is divided by l. 2 Suppose -4*i = -3*o - 5*i + 12, 5*o - 20 = 2*i. Calculate the remainder when 9 is divided by o. 1 Let d = 27 + -8. What is the remainder when d is divided by 10? 9 Suppose -1 = -5*d + 29. What is the remainder when d is divided by 2? 0 Calculate the remainder when 550/33 - (-4)/(-6) is divided by 10. 6 Suppose -162 = -5*l + 3*h, -5*h + 50 = 3*l - 54. Suppose -3*d - 10 = -64. What is the remainder when l is divided by d? 15 Suppose -4*f - 8 = -72. Suppose -5*l - 5*i - 19 = -4*l, l + 13 = -3*i. Let g(u) = -9*u - 6. What is the remainder when g(l) is divided by f? 14 Let z(h) = 0 + 5 - h + 3. Let l be z(6). Suppose 4 = l*q - 6. What is the remainder when 8 is divided by q? 3 Suppose -4*k - 2*b = -6, 6 = -2*k + 3*b - 3. Let i(c) = 3 + 7*c + 7*c**2 + 0 + c**3 + k*c. Calculate the remainder when 34 is divided by i(-5). 16 Let f(k) = k**3 + 4*k**2 + 3*k + 6. Let b be 1/((-2)/4) + -1. Calculate the remainder when 10 is divided by f(b). 4 Let t(l) = l**3 - 2*l**2 - 4*l + 3. Let d be t(3). Suppose -3*p + d*p + 114 = 3*a, -3*p = 4*a - 148. Calculate the remainder when a is divided by 18. 16 Let s(x) = -1. Let v(i) = i - 4. Let k(p) = -5*s(p) - v(p). Let g(y) = y - 4. Let m be g(4). What is the remainder when 26 is divided by k(m)? 8 Suppose -4*s + 5 = 3*f + 17, f + 4 = -3*s. Suppose m - 3 = -s*m. What is the remainder when 8 is divided by m? 2 Let j(o) = o**3 + 5*o**2 + 4*o + 3. Let u be j(-3). Suppose 4*s - u*s + 140 = 0. What is the remainder when s is divided by 15? 13 Suppose -6*k = -9*k + 96. Suppose 3*f + 3*x - 63 = 0, -4*f + 26 = -2*f - 2*x. Calculate the remainder when k is divided by f. 15 Let d = 5 - 4. Suppose -2*s - d = -7. Calculate the remainder when 5 is divided by s. 2 Let v = -37 - -43. Calculate the remainder when 20 is divided by v. 2 Let y = -8 + 12. Suppose -3*j + 169 = 2*c, -y*c - c = 20. What is the remainder when j is divided by 30? 29 Let q be 2*3/(3 + 0). Let s(g) = 1 - 6*g + 3*g**q + 0 - 5. Calculate the remainder when s(5) is divided by 14. 13 Suppose 7*d + 5*o = 4*d + 205, 4*d + 2*o = 292. Let q = 97 + d. Suppose y - 5*y = 4*f - q, 4*f - 137 = 3*y. What is the remainder when f is divided by 13? 12 Let y(o) = -o + 34. What is the remainder when 55 is divided by y(6)? 27 Suppose 2*h = -8*h + 70. Let d be (14 - 4)*2/4. Suppose d*f - f = 44. What is the remainder when f is divided by h? 4 Let b(u) be the first derivative of u**3 - 5*u**2/2 - 7*u - 4. What is the remainder when b(5) is divided by 15? 13 Suppose 6*s - 24 - 12 = 0. What is the remainder when 9 is divided by s? 3 Suppose 4*q + 620 = 5*m, 6*m = m - 5*q + 665. What is the remainder when m is divided by 13? 11 Suppose 3*a - 132 = -a. Let z(y) = -y**2 + y + 9. What is the remainder when a is divided by z(0)? 6 Let t(f) = f**3 - 12*f**2 - 10*f - 12. What is the remainder when t(13) is divided by 14? 13 Let r = 64 + -57. What is the remainder when 76 is divided by r? 6 Let u be (-296)/(-12)*1*3. Let j = -51 + u. Calculate the remainder when j is divided by 12. 11 Let i(c) = -c - 6. Let k(z) = 4*z + 2. Let u be k(-2). Let q be i(u). Calculate the remainder when 25 is divided by (-1)/(q + (-3)/39). 12 Let j(w) = -107*w - 1. Let c be j(-1). Let x be (-4)/(-6) + 2/6. Calculate the remainder when 35 is divided by c/6 + x/3. 17 Let l(i) = -i**2. Let m(a) = 4*a**2 - 5*a + 1. Let p(n) = -3*l(n) - m(n). Calculate the remainder when p(3) is divided by 3. 2 Let b(i) = 2*i**3 + i**2 - 2*i + 1. Let v be b(1). Suppose v*h = -2*h + 4. Calculate the remainder when 50 is divided by (-52)/(-1)*h/2. 24 Let z be 2/((-248)/122 + 2). Let q = 95 + z. Calculate the remainder when q is divided by (-2 - -4)/((-1)/(-6)). 10 Suppose -23 = -5*f - 8. Suppose -2*s = 3*q - 70, 0 = 2*s - f*s + 5. Suppose -w + 33 = 2*w. What is the remainder when q is divided by w? 9 Let r = -48 - -68. Calculate the remainder when 77 is divided by r. 17 Let g = 3 + -1. Suppose 0 = l + 5*o + 8, o = g*o + 3. What is the remainder when 12 is divided by l? 5 Suppose 3*l - 88 = 2. What is the remainder when 117 is divided by l? 27 Let k(z) = 3*z**2 + 33*z + 27. Let r(f) = f**2 + 11*f + 9. Let p(b) = -6*k(b) + 17*r(b). Calculate the remainder when p(-4) is divided by 10. 9 Suppose -v = -2*p + 3*p - 66, 3*v - 3*p = 228. Let r = v + -43. What is the remainder when r is divided by 10? 8 Suppose -f = f + 10. Let j(o) = o + 8. Let h be j(f). Suppose -2 + 3 = d + h*r, 3*d - 3 = -r. What is the remainder when d is divided by 1? 0 Suppose 4 + 4 = -4*g. What is the remainder when 16 is divided by g/((-22)/18 - -1)? 7 Suppose -4*u - 3*j - 23 = 0, -u = -0*u + 4*j + 22. What is the remainder when 29 is divided by 10/(u/(-3)*1)? 14 Suppose 0 = -i + 4*k + 15, 2*k - 42 = -4*i - 0*k. What is the remainder when 54 is divided by i? 10 Suppose 2*f - 3*f - 7 = 0. Let h(a) be the first derivative of -3*a**2/2 + 7*a + 1. What is the remainder when h(f) is divided by 10? 8 Let n be ((1 - -3)*3)/2. Suppose n*l = l + 85. Calculate the remainder when 48 is divided by l. 14 Suppose -3*w - 24 = -4*b - 2*w, -2*b = 2*w - 22. Suppose 33 = 2*s - 19. Calculate the remainder when s is divided by b. 5 Let y(b) = 4*b**2 + 50*b - 9. What is the remainder
{ "pile_set_name": "DM Mathematics" }
9. Give f(24). -11 Let g(i) = 7*i**2 + 338*i + 82. What is g(-48)? -14 Let a(n) = -23*n**2 + 5*n + 4. Give a(-1). -24 Let c(o) = 49*o + 18. Calculate c(-2). -80 Let f(o) = -43*o**3 - 224*o**2 - 49*o - 24. Determine f(-5). -4 Let d(x) = -x**3 + 2*x**2 + 20*x - 23. What is d(-6)? 145 Let g(w) = -69*w**3 + 5*w**2 - 7*w + 4. Determine g(1). -67 Let m(b) = -b**3 - 103*b**2 - 827*b + 1782. What is m(-94)? -4 Let a(l) = -262*l - 26. Calculate a(1). -288 Let k(j) = 17*j**2 - 56*j - 252. Calculate k(6). 24 Let l(o) = 371*o + 4824. What is l(-13)? 1 Let d(u) = -u**2 - 20*u - 10. Give d(-20). -10 Let q(i) = i**3 + 11*i**2 - 14*i - 6. Determine q(-12). 18 Let f(r) = -r**3 + 10*r**2 + 1419*r + 19. Give f(-33). 19 Let i(z) = -7*z**2 - 40*z + 93. Calculate i(-8). -35 Let v(z) = z**3 - 9*z**2 + 3*z - 5. Calculate v(5). -90 Let k(c) = 13*c**2 - 90*c + 77. Determine k(6). 5 Let x(l) = -l + 21. Give x(34). -13 Let t(o) = 343*o - 2536. What is t(7)? -135 Let z(s) = -2*s**3 - 2*s**2 + 5*s + 8. Determine z(-3). 29 Let l(y) = y**3 - 6*y**2 + 8*y - 11. Give l(3). -14 Let x(j) = -6*j**2 - 36*j - 148. Determine x(-4). -100 Let k(j) = -160*j + 11045. What is k(69)? 5 Let b(h) = -h**2 - 7*h + 29. What is b(6)? -49 Let v(g) = -55*g + 691. What is v(14)? -79 Let x(j) = -2*j + 73. Give x(71). -69 Let o(t) = -24*t**2 - 491*t - 48. Calculate o(-20). 172 Let a(f) = 12*f**2 - 49*f - 268. What is a(7)? -23 Let k(q) = -19*q + 227. Determine k(27). -286 Let k(x) = 43*x + 1851. Give k(-43). 2 Let b(u) = u**3 + 4*u**2 - 115*u - 608. What is b(-6)? 10 Let q(y) = 91*y + 2905. Give q(-32). -7 Let c(x) = -8*x + 59. What is c(8)? -5 Let m(z) = 7*z + 144. What is m(6)? 186 Let b(s) = s**3 + 67*s**2 - 131*s + 478. What is b(-69)? -5 Let o(i) = i**3 + 3*i**2 - 73*i - 12. Calculate o(0). -12 Let w(u) = u**2 - 8*u - 29. What is w(16)? 99 Let v(f) = -18*f**2 - 37*f + 68. Give v(3). -205 Let l(s) = -5*s + 61. What is l(-5)? 86 Let w(j) = 2*j**2 + 2871*j + 17149. What is w(-6)? -5 Let y(o) = 5*o**2 + 44*o + 49. Determine y(-8). 17 Let j(f) = 12*f**2 + 209*f + 98. Give j(-17). 13 Let i(f) = -92*f**2 - 20055*f + 202. What is i(-218)? -16 Let t(v) = -3936*v - 2. Calculate t(0). -2 Let k(w) = -20*w**2 - 806*w - 197. What is k(-40)? 43 Let a(o) = -2*o**3 - 8*o**2 + 42*o + 152. What is a(-5)? -8 Let t(q) = 5*q**2 + 101*q + 75. Calculate t(-15). -315 Let v(w) = 122*w - 657. Determine v(5). -47 Let l(b) = -9*b + 32. What is l(5)? -13 Let j(v) = 29*v + 222. Calculate j(-12). -126 Let i(g) = g**3 + g**2 - 24*g - 73. Give i(-4). -25 Let l(f) = f**2 - 47*f + 183. Calculate l(43). 11 Let v(c) = -8*c**2 - 86*c + 130. Calculate v(-12). 10 Let l(z) = -1256*z + 6285. What is l(5)? 5 Let j(t) = 389*t - 3908. What is j(10)? -18 Let p(o) = 67*o**2 + 5*o - 7. Give p(1). 65 Let n(q) = -21*q**3 - 81*q**2 + 14*q + 10. Calculate n(-4). 2 Let w(z) = z**2 - 43*z + 337. Calculate w(10). 7 Let c(g) = 242*g**2 - 31*g + 60. What is c(2)? 966 Let u(w) = -30*w - 1. What is u(4)? -121 Let w(u) = -6117*u + 12242. What is w(2)? 8 Let r(o) = -96*o + 626. Calculate r(7). -46 Let t(q) = 10*q**2 - 96*q + 24. What is t(9)? -30 Let u(j) = -2*j**2 + 50*j + 295. Calculate u(-5). -5 Let x(p) = -17*p + 34. Give x(-7). 153 Let h(t) = -3*t**2 - 34*t + 170. Determine h(-19). -267 Let x(p) = -53*p + 496. Give x(10). -34 Let f(w) = w**3 - 13*w - 23. Calculate f(-2). -5 Let t(u) = -u**3 + 5*u**2 + 10*u + 118. Calculate t(8). 6 Let t(d) = 3*d**3 - 177*d**2 - 7*d + 356. Calculate t(59). -57 Let o(h) = -2630*h - 23675. Determine o(-9). -5 Let f(x) = 8*x**2 - 30*x + 1. What is f(1)? -21 Let f(w) = -83*w + 826. Determine f(9). 79 Let d(z) = -329*z - 1243. Give d(-4). 73 Let u(s) = 262*s - 1532. Give u(6). 40 Let y(w) = -387*w - 5165. Give y(-13). -134 Let q(b) = -b**2 + 74*b - 693. What is q(11)? 0 Let i(v) = v**3 - 21*v**2 - 352*v + 13. Give i(-11). 13 Let j(k) = 832*k**2 + 3331*k + 5. Calculate j(-4). -7 Let q(n) = -n**2 - 580*n - 53113. Give q(-114). 11 Let v(b) = -b**3 - 13*b**2 + 89*b + 665. Calculate v(-6). -121 Let k(a) = -3*a**2 + 325*a - 2221. Give k(101). 1 Let i(u) = -14*u**2 + 61*u + 63. Determine i(-1). -12 Let j(v) = v**3 - 63*v**2 + 63*v + 36. What is j(62)? 98 Let u(r) = -53*r + 24. Determine u(3). -135 Let k(n) = n**2 + 29*n - 61. What is k(-28)? -89 Let f(x) = -x**3 - 7*x**2 + 4*x - 5. Calculate f(-6). -65 Let w(u) = -11*u**2 + 11*u - 15. Calculate w(3). -81 Let h(f) = 23*f + 35. What is h(-5)? -80 Let v(z) = 7*z**2 - 19*z - 1. Calculate v(7). 209 Let p(s) = 36*s + 2760. Calculate p(-77). -12 Let r(o) = o**3 + 28*o**2 - 66*o - 191. Calculate r(-30). -11 Let h(w) = w**2 - 6*w + 12. What is h(2)? 4 Let o(f) = 2*f**3 + 140*f**2 - 190. Give o(-70). -190 Let f(v) = v**2 + 345*v + 4318. Calculate f(-13). 2 Let n(j) = -j**3 - 122*j**2 + 193*j + 8619. Determine n(-123). 9 Let k(g) = -g**2 + 33*g - 314. Give k(13). -54 Let w(l) = 107*l + 4133. What is w(-40)? -147 Let l(i) = -2*i**2 - 95*i - 61. Calculate l(-47). -14 Let x(w) = -w**3 - 7*w**2 - 5*w + 18. What is x(-7)? 53 Let l(m) = -5*m**2 - 23*m - 33. Calculate l(-14). -691 Let o(l) = 27*l**2 - 785*l + 106. Determine o(29). 48 Let i(u) = -374*u - 2969. Determine i(-8). 23 Let p(b) = 3*b**3 - 98*b**2 + 59*b + 40. Determine p(32). -120 Let d(c) = 67*c**2 + 930*c - 118. Calculate d(-14). -6 Let v(x) = 24*x**3 - 3*x + 14. Determine v(-2). -172 Let c(g) = g**3 - 5*g**2 - 70*g + 77. Calculate c(11). 33 Let w(m) = m**2 + 12*m - 61. Calculate w(-11). -72 Let x(a) = a**3 + 18*a**2 + 14*a - 19. Determine x(-17). 32 Let i(p) = p**3 + 60*p**2 + 4*p + 137. Determine i(-60). -103 Let z(c) = 3*c**3 - 3*c**2 - 14*c + 42. Determine z(5). 272 Let b(v) = -4*v**2 + 16*v + 339. Determine b(-14). -669 Let a(w) = -2*w**3 + 46*w**2 - 65*w - 22. What is a(21)? 377 Let h(t) = -2*t**2 - 22*t - 31. Give h(-22). -515 Let m(y) = y**3 + 62*y**2 - 62*y - 466. Determine m(-63). -529 Let u(q) = 5*q + 130. Calculate u(47). 365 Let f(u) = 29*u + 2189. What is f(-76)? -15 Let n(s) = -15*s**3 + 958*s**2 + 131*s - 205. Determine n(64). -13 Let t(m) = m**3 + 22*m**2 + 25*m - 1. Give t(-21). -85 Let z(l) = 2*l**3 - 18*l**2 - 32*l + 290. What is z(8)? -94 Let n(y) = 98*y + 945. Calculate n(-9). 63 Let v(j) = 88*j - 2161. Determine v(24). -49 Let l(h) = 3*h**2 - 175*h + 557. Determine l(55). 7 Let o(y) = -2*y**3 - 250*y**2 + 73*y + 9118. Calculate o(-125). -7 Let i(v) = -16*v**2 - 520*v + 105. Calculate i(-33). -159 Let h(o) = 117*o + 401. Calculate h(-4). -67 Let h(t) = 2954*t + 56129. What is h(-19)? 3 Let z(w) = 9*w**2 + 5*w - 1. Determine z(-7). 405 Let v(o) = o + 27. What is v(23)? 50 Let c(x) = -361*x - 34646. What is c(-96)? 10 Let u(i) = 35*i**3 + 10*i**2 + i - 8. What is u(-1)? -34 Let x(g) = -457*g - 112407. Determine x(-246). 15 Let v(d) = -161*d - 805. Calculate v(-5). 0 Let s(k) = -k + 43. What is s(16)? 27 Let x(y) = -30*y + 414. Give x(11). 84 Let a(j) = -118*j - 1895. Determine a(-16). -7 Let m(d) = 7*d**2 + 139*d + 246. Give m(-2). -4 Let d(u) = -5*u**3 - 105*u**2 + u + 44. Give d(-21). 23 Let u(y) = -10*y**3 - 2429*y**2 + 246*y + 725. Determine u(-243). -4 Let q(k) = -k**3 + 70*k**2 + 73*k - 150. Give q(71). -8 Let o(q) = q**2 - 2*q - 112. What is o(11)? -13 Let b(u) = -11*u - 750. Give b(-70). 20 Let w(d) = -198*d**2 - 58*d - 56. Give w(-1). -196 Let l(c) = -96*c - 3612. What is l(-37)? -60 Let w(x) = x**3 - 78*x**2 + 740*x - 227. Calculate w(67). -26 Let a(g) = -5*g**2 - 120*g - 217. Determine a(-22). 3 Let w(v) = -17*v**2 - 178*v - 180. What is w(-1)? -19 Let o(b) = 6*b**2 - 2*b - 20. Calculate o(5). 120 Let q(t) = -t**3 + 21*t**2 + 112*t - 311. Calculate q(25). -11 Let i(m) = m**2 + 119*m + 468. Give i(-115). 8 Let t(f) = -f**3 - 94*f**2 - 838*f + 168. Determine t(-84). 0 Let r(y) = -26*y + 2262. Calculate r(63). 624 Let z(w) = 100*w + 621. Give z(-6). 21 Let u(c) = 2*c**2 + 22*c + 13. Calculate u(-20). 373 Let o(s) = s - 94. Calculate o(-11). -105 Let z(c) = -c + 101. What is z(-11)? 112 Let p(k) = -k**3 - 64*k**2 - 5*k - 297. What is p(-64)? 23 Let w(i) = i**3 - 121*i**2 - 253*i + 861. Calculate w(123). 0 Let n(k) = 78*k - 1402. Give n(18). 2 Let r(w) = 8*w**3 - 234*w**2 + 58*w + 5. Give r(29). 5 Let c(j) = 29*j + 159. What is c(-7)? -44 Let u(t) = -10*t**3 - 16*t**2 + 548*t + 564. What is u(-1)? 10 Let
{ "pile_set_name": "DM Mathematics" }
. Determine v(-47). -3 Let d(r) = -9*r + 580. Give d(63). 13 Let f(p) = -p**2 - 265*p + 2183. Give f(8). -1 Let c(x) = 10*x**3 + 34*x**2 - 67*x + 15. Determine c(2). 97 Let l(j) = -4342*j + 221450. Determine l(51). 8 Let w(x) = -252*x - 32760. Give w(-130). 0 Let u(t) = -t**3 - 2*t**2 - 33*t - 99. Calculate u(-3). 9 Let p(m) = -36*m**2 - 3019*m + 106. Determine p(-84). -314 Let q(x) = -x**3 - 109*x**2 + 235*x + 1404. Determine q(-111). -39 Let m(u) = -120*u + 1523. What is m(13)? -37 Let g(n) = -175*n - 1028. Give g(-6). 22 Let s(p) = 2*p**2 - 38*p - 67. What is s(13)? -223 Let s(n) = 2*n**3 - 15*n**2 - 44*n + 328. What is s(8)? 40 Let l(w) = w**3 - 20*w**2 + 39*w - 23. Determine l(18). 31 Let p(r) = -330*r - 1323. Determine p(-4). -3 Let m(j) = 85*j + 9648. Give m(-113). 43 Let w(m) = -m**2 - 6*m - 73. Give w(-10). -113 Let k(n) = n**3 - 10*n**2 + 9*n + 16. Give k(8). -40 Let n(k) = -4*k**2 + 177*k - 1195. Calculate n(7). -152 Let x(b) = -70*b**2 - 32*b - 25. Calculate x(-1). -63 Let w(z) = 33*z**3 + 10*z**2 + 54*z - 62. What is w(1)? 35 Let x(v) = 115*v + 1743. What is x(-16)? -97 Let t(w) = -22*w**3 - 4*w**2 - 70*w - 67. Give t(-1). 21 Let f(g) = -g**3 + 20*g**2 + 2*g + 66. Determine f(20). 106 Let b(f) = 8*f + 837. What is b(-109)? -35 Let o(f) = -f**3 + 20*f**2 - 81*f - 24. What is o(14)? 18 Let o(s) = s**2 + 7314*s + 94907. Determine o(-13). -6 Let d(f) = 3*f**2 + 44*f - 106. Calculate d(-16). -42 Let t(r) = -r**3 + 40*r**2 - 281*r + 64. Give t(31). 2 Let h(g) = -372*g - 2923. Calculate h(-8). 53 Let x(h) = -21*h + 28. What is x(7)? -119 Let s(g) = 27*g + 896. Calculate s(-32). 32 Let g(f) = -f**3 - 12*f**2 - 26*f + 12. Calculate g(-10). 72 Let c(w) = w**3 - 23*w**2 - 61*w + 906. Determine c(24). 18 Let r(i) = -i**3 - 58*i**2 + 57*i + 100. What is r(-59)? 218 Let o(u) = -10*u**2 + 37*u + 8. Determine o(4). -4 Let m(w) = 101*w - 38. Calculate m(3). 265 Let i(n) = 131*n**2 - 293*n + 56. What is i(2)? -6 Let h(v) = -v**3 + 11*v**2 + 34*v + 12. Determine h(-4). 116 Let h(k) = k**3 + 8*k**2 + 13*k + 8. Give h(-7). -34 Let u(l) = -13*l**3 + 35*l**2 - 12*l + 13. Calculate u(2). 25 Let a(o) = -2*o**2 - 11*o + 99. Determine a(11). -264 Let d(r) = -r**3 + 8*r**2 - 4. What is d(6)? 68 Let g(t) = -t**2 + 824*t - 40150. Calculate g(52). -6 Let m(n) = -237*n - 2371. Calculate m(-10). -1 Let c(w) = 48*w**2 - 313*w - 159. Calculate c(7). 2 Let b(n) = 110*n + 493. Determine b(-4). 53 Let g(q) = -q**2 - 72*q - 1094. Determine g(-22). 6 Let s(p) = 2*p**3 + 14*p**2 - 48*p - 39. Calculate s(-9). 69 Let f(w) = -45*w**2 + 401*w + 36. Give f(9). 0 Let l(r) = -23*r**3 + 69*r**2 - 148*r + 460. Give l(3). 16 Let f(s) = 9*s**2 + 74*s + 138. Determine f(-5). -7 Let m(p) = 4*p**2 - 49*p + 9. What is m(12)? -3 Let r(f) = 1102*f - 2181. Calculate r(2). 23 Let g(v) = -128*v - 463. Calculate g(-4). 49 Let c(j) = 5*j**2 + 324*j + 230. Calculate c(-64). -26 Let i(z) = z**3 + 153*z**2 + 165*z + 1960. What is i(-152)? -16 Let q(h) = 4*h**2 + 46*h - 635. Determine q(8). -11 Let s(z) = -5573*z - 11155. Determine s(-2). -9 Let t(k) = 17*k + 575. Calculate t(-30). 65 Let x(z) = -24*z + 189. What is x(10)? -51 Let g(p) = -91*p + 4194. Give g(47). -83 Let s(u) = u**2 - 11*u - 677. Calculate s(-21). -5 Let b(r) = -3*r**2 + 10*r + 73. Calculate b(-7). -144 Let a(b) = 2*b**3 - 11*b**2 + 39*b - 373. What is a(8)? 259 Let f(v) = -v**3 + 56*v**2 + 577*v - 79. Give f(-9). -7 Let d(x) = 3*x**3 + 14*x**2 + 21*x - 4. What is d(-5)? -134 Let h(i) = -28*i + 55. Give h(4). -57 Let w(p) = 2*p - 17. Determine w(-26). -69 Let g(d) = -15734*d + 4. Calculate g(0). 4 Let g(o) = -15*o - 541. Give g(-44). 119 Let d(a) = 3*a**3 - 7*a**2 - 12*a + 8. Calculate d(-3). -100 Let h(x) = 16*x + 863. Give h(-39). 239 Let y(g) = 20*g**2 + 445*g + 145. What is y(-22)? 35 Let k(t) = 32*t - 125. Determine k(5). 35 Let g(i) = -i**2 - 2*i + 21. Calculate g(3). 6 Let p(d) = d**3 - 7*d**2 - 8*d + 1. Give p(9). 91 Let b(d) = -20*d**2 - 97*d + 257. Give b(2). -17 Let v(x) = 50*x + 4. Give v(4). 204 Let r(m) = -719*m - 7910. What is r(-11)? -1 Let v(m) = 3*m**2 - 35*m + 48. Give v(9). -24 Let r(o) = o**2 + 11*o - 94. Determine r(6). 8 Let h(m) = -2*m**2 - 142*m - 36. What is h(-70)? 104 Let z(c) = -39*c**3 - 5*c**2 + 15*c - 12. Calculate z(1). -41 Let b(u) = -u**3 - 74*u**2 - 215*u - 88. What is b(-71)? 54 Let w(c) = -20*c + 200. What is w(0)? 200 Let d(o) = 4*o**2 - 11*o + 20. Determine d(3). 23 Let t(u) = -76*u + 35. What is t(1)? -41 Let f(g) = 31*g**2 - 431*g + 45. Give f(14). 87 Let b(c) = -c**2 + 244*c + 1686. Determine b(-7). -71 Let c(m) = -87*m + 61. What is c(12)? -983 Let g(u) = 3*u**2 - 65*u - 115. Determine g(23). -23 Let j(v) = 16*v**2 - v - 3. What is j(2)? 59 Let k(h) = 22*h + 211. What is k(-17)? -163 Let o(c) = -6*c**2 + 18*c - 33. Determine o(2). -21 Let x(a) = -2*a**3 - 32*a**2 - 13*a - 14. Give x(-15). -269 Let h(j) = -105*j + 649. What is h(7)? -86 Let r(t) = 68*t - 788. Calculate r(11). -40 Let r(m) = -m**2 - 561*m - 14415. Give r(-27). 3 Let x(k) = k**2 - 520*k + 2569. Give x(5). -6 Let u(p) = -27*p - 26. Determine u(-1). 1 Let a(x) = -321*x + 328. Give a(1). 7 Let r(u) = -48*u + 191. Calculate r(13). -433 Let c(j) = 369*j - 40592. What is c(110)? -2 Let k(t) = t**3 + 30*t**2 - 62*t + 17. Give k(-32). -47 Let p(c) = -c**3 - 11*c**2 - 11*c - 50. Determine p(-8). -154 Let c(l) = l**2 - 164*l - 6493. Calculate c(-33). 8 Let s(i) = -435*i + 878. Calculate s(2). 8 Let q(w) = -354*w - 3723. Calculate q(-10). -183 Let h(u) = 17*u - 29. Calculate h(13). 192 Let g(a) = 7*a**2 - 27*a + 133. Determine g(8). 365 Let y(r) = -r**2 + 62*r + 164. Determine y(56). 500 Let x(g) = 6*g**2 + 10*g - 19. Give x(5). 181 Let x(f) = 20*f - 379. What is x(19)? 1 Let w(d) = 398*d**2 - 1201*d + 3. Determine w(3). -18 Let p(w) = w**3 - 31*w**2 + 11*w - 336. Calculate p(31). 5 Let o(q) = -12*q**3 + 10*q**2 - 30*q + 32. What is o(2)? -84 Let c(x) = 18*x**2 - 194*x + 3. Calculate c(10). -137 Let u(g) = -g**2 - 34*g + 69. Determine u(-9). 294 Let h(t) = 25*t + 2. Give h(-2). -48 Let c(l) = -7*l**2 + 113*l + 119. What is c(18)? -115 Let f(g) = -g**3 + 45*g**2 - 348*g - 68. Calculate f(35). 2 Let j(z) = -3*z**2 - 48*z - 81. Give j(-13). 36 Let g(x) = -17*x + 58. What is g(-12)? 262 Let m(p) = 922*p + 15733. What is m(-17)? 59 Let l(g) = -9*g**2 - 7*g - 20. Calculate l(-2). -42 Let h(f) = -56*f + 67. Determine h(0). 67 Let u(m) = -m**3 - 60*m**2 - 18*m - 1441. Determine u(-60). -361 Let u(g) = -10*g - 99. What is u(-11)? 11 Let c(m) = -m**3 + 47*m**2 - 417*m - 50. Give c(12). -14 Let c(l) = -l**3 + 46*l**2 + 82*l - 1683. What is c(47)? -38 Let f(q) = 409*q + 28615. What is f(-70)? -15 Let k(h) = 3*h**3 + 6*h**2 - 16*h + 77. Calculate k(-7). -546 Let m(v) = -8*v**3 + 120*v**2 - 3*v + 37. What is m(15)? -8 Let p(g) = 12*g**2 - 5*g - 5. Determine p(-3). 118 Let q(o) = -188*o + 68. Calculate q(2). -308 Let p(w) = -2*w**3 - 52*w**2 + 10*w + 207. Calculate p(-26). -53 Let b(w) = w**3 + 10*w**2 + 49*w + 140. What is b(-6)? -10 Let k(n) = 40*n**2 - 11*n + 12. What is k(1)? 41 Let n(i) = -5*i - 236. What is n(-47)? -1 Let w(r) = 138*r - 2. Calculate w(1). 136 Let x(n) = -2*n**2 - n + 321. Calculate x(-14). -57 Let v(c) = -175*c - 890. Calculate v(-5). -15 Let m(p) = -22*p + 10. What is m(1)? -12 Let p(l) = -163*l + 3626. Determine p(22). 40 Let o(d) = 30*d**2 + 181*d + 19. Determine o(-6). 13 Let d(h) = h**3 - 37*h**2 + 72*h - 73. Give d(35). -3 Let x(g) = -g**2 + 18*g - 87. What is x(8)? -7 Let o(n) = 5*n - 687. Give o(67). -352 Let o(u) = -u**2 - 32*u - 255. What is o(-18)? -3 Let h(z) = -2*z**2 + 290*z - 1119. Give h(141). 9 Let r(g) = g**2 - 60*g - 121. Give r(-2). 3 Let p(y) = 7086*y + 99205. Determine p(-14). 1 Let q(j) = j**2 + 58*j + 714. Determine q(-15). 69 Let c(r) = -r**3 + 12*r**2 - 2*r + 11. Determine c(6). 215 Let z(y) = -243*y**3 + y**2 - 2*y - 3. Calculate z(-1). 243 Let b(g) = -14*g + 54. Calculate b(0). 54 Let v(z) = z**3 - 20*z**2 - 11*z - 6. What is v(21)? 204 Let k(s) = 2*s**3 - 19*s**2 + 10*s - 41. Calculate k(9). -32 Let r(g) = -11*g + 146. Calculate r(12). 14 Let b(y) = -y**3 + 3*y**2 + 29*y - 52. Calculate b(-5). 3 Let v(q) = q**2 + 25*q + 42. Determine v(-25). 42 Let v(h) = h**2 + 27*h + 172. Give v(-8). 20 Let
{ "pile_set_name": "DM Mathematics" }
24*z Let r(c) = -c**2 + 2*c - 2. Let u(p) = 3*p**2 - 5*p + 5. Let x(w) = -5*r(w) - 2*u(w). Let f(n) be the first derivative of n**2 + 1. Determine x(f(g)). -4*g**2 Let o be (((-6)/(-9))/(-2))/(-10). Let y(n) be the third derivative of 0*n**4 + 0*n**3 + 0 + 0*n - 2*n**2 + o*n**5. Let z(c) = c. Determine z(y(s)). 2*s**2 Let y(i) = 2*i. Let h(q) = -602*q**2. What is y(h(x))? -1204*x**2 Let l(m) = 4*m**2. Let i(q) = 1011*q. Determine i(l(p)). 4044*p**2 Let f be (-3 - -1)/(10/(-20)). Let d(p) = f*p**2 + 2*p**2 - 5*p**2 + 0*p**2. Let b(y) = 3*y**2 - 5*y**2 + 0*y**2. Give b(d(v)). -2*v**4 Let s = -18 + 18. Let c(a) be the third derivative of 0 + 0*a**4 + 2*a**2 + 0*a + s*a**3 - 1/20*a**5. Let n(q) = 2*q**2. Give c(n(f)). -12*f**4 Let z(j) = -j. Let b(k) = 27*k + 15. Determine z(b(p)). -27*p - 15 Let r(p) be the first derivative of -p**2 - 1. Let o(g) be the third derivative of g**4/12 + 5*g**2. Determine r(o(y)). -4*y Let h(t) = 15*t. Let q(v) = -v + 2188 - 2188. Determine q(h(w)). -15*w Let z(k) = k**2. Let t(o) = -18*o**2 + 2. Give z(t(v)). 324*v**4 - 72*v**2 + 4 Let k(j) = -5*j + 4. Let z(n) = n - 1. Let p(d) = -k(d) - 4*z(d). Let b(f) = -3*f**2. Calculate p(b(y)). -3*y**2 Suppose -3*s + 4 + 5 = 0. Let t(m) = s - 3 - m + 2*m. Let b(x) = -1. Let h(r) = -r + 1. Let q(u) = 4*b(u) + 4*h(u). Calculate q(t(f)). -4*f Let p(m) = -2*m. Suppose 0 = -k + 7 - 5. Let b(z) = k*z + 0*z - 6*z. Calculate p(b(r)). 8*r Let g(u) be the third derivative of u**5/60 - 21*u**2. Let c(d) = -17*d**2. Determine g(c(q)). 289*q**4 Let o(k) = k**2. Let b(t) = 2*t - 7*t - 3*t + 11*t. What is b(o(h))? 3*h**2 Let d(k) be the third derivative of -k**5/60 - 7*k**2. Let b(x) be the second derivative of 2*x**3/3 + x. What is b(d(f))? -4*f**2 Suppose -3 + 15 = -2*g. Let a be (-4)/g*(-7 + 10). Let j(r) = -3*r**a + 7*r**2 - 2*r**2. Let y(x) = -4*x**2. What is y(j(p))? -16*p**4 Let r(n) = 2*n. Let u(s) = -2*s. Let p(t) = 2*t - 4. Let f be p(4). Let j(q) = f*u(q) + 5*r(q). Let v(l) = -2*l. Calculate j(v(w)). -4*w Let w(h) = 2*h. Let t(r) = -r. Let j(o) = 2*o. Let k(y) = j(y) + 4*t(y). Calculate k(w(b)). -4*b Let z(k) = -892*k. Let m(d) = d**2. What is m(z(l))? 795664*l**2 Let x(s) be the first derivative of 2*s**3/3 + 1. Let b(l) be the third derivative of 0 - 1/12*l**4 + 0*l - 2*l**2 + 0*l**3. Calculate b(x(r)). -4*r**2 Let w(l) = -7*l - 6. Let v(j) = j + 1. Let d(a) = -6*v(a) - w(a). Suppose -q - 2*b = 0, 7 = -q + 2*q - 5*b. Let i(t) = -q*t**2 - 2 + 2 + 0. Give i(d(k)). -2*k**2 Let f(v) = 43*v**2. Let k(m) = -5*m**2. What is f(k(x))? 1075*x**4 Let g(l) be the second derivative of -5*l**4/12 + 25*l. Let r(i) be the second derivative of -i**4/12 + 2*i. Calculate r(g(v)). -25*v**4 Let a(f) be the third derivative of f**5/60 + 15*f**2. Let y(t) = 28*t. What is a(y(i))? 784*i**2 Let a(z) = -4*z - 5. Let q(y) = -15*y - 21. Let g(w) = 21*a(w) - 5*q(w). Let h(u) = -2*u. Calculate g(h(i)). 18*i Let y(a) = a**2 - 34*a. Let h(o) = -o. Give h(y(g)). -g**2 + 34*g Let l(s) = -s - 3. Let f be l(-5). Let r(k) = k**2 - 2*k + f*k. Let a(h) be the third derivative of -h**5/60 + 10*h**2. Determine r(a(d)). d**4 Let f(q) = -3*q**2. Suppose 2*j + 10 = -2*u + 6*u, -4*u - j - 5 = 0. Let r(o) = 5*o - o + u*o. Give f(r(k)). -48*k**2 Let z(a) = 2*a**2. Let h(b) = 18*b**2 + 2*b. Calculate z(h(n)). 648*n**4 + 144*n**3 + 8*n**2 Let c(j) be the third derivative of -j**4/8 - 27*j**2. Let p(x) be the second derivative of -x**3/3 + x. Give c(p(f)). 6*f Let u(x) = -61*x - 2. Let l(n) = 2*n**2. Determine l(u(a)). 7442*a**2 + 488*a + 8 Let x(j) be the third derivative of 2*j**5/15 - j**2. Let g(i) = -16*i + 22. Let w(d) = -3*d + 4. Let m(p) = 6*g(p) - 33*w(p). Calculate x(m(k)). 72*k**2 Let h(v) = -1069*v. Let k(g) = 2*g**2. Determine h(k(u)). -2138*u**2 Let c(n) = n. Let m(i) be the first derivative of i**2/2 - 10. Give c(m(k)). k Let o(v) = -2*v. Let s(r) = -12290*r**2. What is s(o(f))? -49160*f**2 Let o(l) = -3*l + 4. Let z(i) = i + 6. Calculate o(z(a)). -3*a - 14 Let n(g) = 2*g**2. Let f(u) = -984*u - 1. Determine f(n(r)). -1968*r**2 - 1 Let l(o) = 4*o**2. Let f = -25 - -17. Let r = f - -11. Let a(m) = 6*m**2 + m**2 - 3*m**2 - r*m**2. What is a(l(h))? 16*h**4 Let a(i) = -7*i + 5*i - i. Let p(c) = -6*c**2. Determine a(p(o)). 18*o**2 Let z(l) = l**2 + 2*l**2 - 2*l**2. Let n = 5 - 2. Let d(h) = -n*h + 6*h - 2*h. Give d(z(u)). u**2 Let m(n) = 1. Let g be (-1)/((-1)/3) - 0. Let l(s) = s + 3. Let w(x) = g*m(x) - l(x). Let t(q) = 7 + 2*q**2 - 7 - 3*q**2. Calculate w(t(r)). r**2 Let n(g) = g**2 - 3*g - 7. Let i be n(5). Let d(f) = i*f - 6*f + 0*f. Let l(h) = -6*h**2 + 5*h. Let s(q) = -q**2 + q. Let w(o) = -l(o) + 5*s(o). Give d(w(b)). -3*b**2 Let h(k) = -6*k**2. Let i(x) = -394*x**2 + 2. Calculate h(i(f)). -931416*f**4 + 9456*f**2 - 24 Let s(m) = 6*m. Let d(p) = 2*p**2 - 153*p + 153*p. Give d(s(h)). 72*h**2 Let b(x) = -x. Let p(r) = -r + 2*r + 2*r - 5*r. Calculate b(p(g)). 2*g Let j(t) be the first derivative of -t**5/60 + t**2 - 1. Let l(o) be the second derivative of j(o). Let x(z) = -z. Calculate x(l(b)). b**2 Let f(w) = -w**2. Let o(i) = i - 5. Let d be o(7). Let c(a) = -a**2 + 4 + d - 6. What is f(c(m))? -m**4 Let c(o) = 85*o. Let i(a) = -18*a**2 + 2*a. Calculate i(c(p)). -130050*p**2 + 170*p Suppose 0 = -5*d + 2*g - 5*g + 4, 2*d + 8 = 2*g. Let l = 5 + d. Let s(c) = -l + 4 - 3*c**2. Let a(b) = -2*b**2. Calculate a(s(i)). -18*i**4 Let d be 2/(-11) - 24/(-11). Let n(c) = 5*c**2 - 6*c**d + 4*c**2. Let u(i) = 3*i. What is n(u(h))? 27*h**2 Let z(u) = -7*u. Let j(h) be the third derivative of -h**5/60 + 8*h**2. Give j(z(f)). -49*f**2 Let y(u) = -4*u**2. Let q(o) be the second derivative of o**5/120 + o**3/2 + o. Let k(l) be the second derivative of q(l). Calculate y(k(c)). -4*c**2 Suppose -2*u = -u. Let k(s) = u*s - s - 9*s + 6*s. Let v(d) = -4*d. Calculate k(v(w)). 16*w Let h(l) = 6*l. Let n(u) = -2 - 2 + 4 - u. Let y be n(-1). Let q(p) = 1 - 2 + y + p. What is h(q(i))? 6*i Let q(l) = 4*l**2. Let k(s) = 2926*s**2. Give k(q(w)). 46816*w**4 Let u(k) = -4028*k. Let z(o) = -2*o**2. What is z(u(t))? -32449568*t**2 Let r(u) be the third derivative of -u**6/720 - u**4/24 + 2*u**2. Let v(q) be the second derivative of r(q). Let y(x) = x**2. Give v(y(t)). -t**2 Let v(h) be the first derivative of 2*h**2 + 1. Let x(k) be the first derivative of k**3/3 - 2. Calculate x(v(g)). 16*g**2 Let u(g) = 7*g + 5. Let q(b) be the third derivative of 1/3*b**3 + 0*b + 0 + 3*b**2 + 1/8*b**4. Let r(p) = 5*q(p) - 2*u(p). Let n(c) = 6*c. Calculate r(n(l)). 6*l Let f(s) be the first derivative of -2*s**3/3 + 1. Let a(v) be the second derivative of -2*v**4/3 - 6*v. Calculate a(f(k)). -32*k**4 Let d(s) = 2*s. Let h(t) = 2206*t. Give h(d(c)). 4412*c Let a(c) = 2*c**2. Let h(u) = 2*u - 655. Determine h(a(f)). 4*f**2 - 655 Let o(b) = -2*b - 9. Let z(v) = -15*v**2. What is z(o(t))? -60*t**2 - 540*t - 1215 Let a(g) = -4*g**2 + 5*g**2 + g**2. Let p = 3 + -10. Let w(z) = 4*z - 7. Let j(y) = 2*y - 3. Let q(u) = p*j(u) + 3*w(u). Give a(q(m)). 8*m**2 Let j(k) = -4*k**2. Let u be ((-14)/6 + 3)/1. Let g(h) be the first derivative of 1 - u*h**3 + 0*h**2 + 0*h. Give j(g(z)). -16*z**4 Let j(s) = -4*s**2. Let l(b) = -80*b**2 + 2. Give l(j(i)). -1280*i**4 + 2 Let n(k) = 30*k**2. Let q(b) be the second derivative of b**4/12 - b + 1. Determine n(q(c)). 30*c**4 Let v(h) = -2*h. Let d(b) be the first derivative of b**5/30 + b**3 - 4. Let c(t) be the third derivative of d(t). Determine c(v(l)). -8*l Let t(n) = -3*n - 2 + 2 + n. Let w(d) be the second derivative of d**3/6 + d. What is w(t(a))? -2*a Let a(o) be the first derivative of o**3/6 + 2*o - 5. Let t(m) be the first derivative of a(m). Let l(x) = 6*x. Determine t(l(p)). 6*p Let v(o) = -2*o**2 + 12*o + 6. Let i(f) = 2*f + 1. Let j(y) = -6*i(y) + v(y). Let d(k) = 26*k. Calculate j(d(a)). -1352*a**2 Let f(l) = 4*l**2 + 24. Let u(q) = 31*q. Give u(f(k)). 124*k**2 + 744 Let h(l) = 2*l. Let u(d) = -3930*d - 2. Determine u(h(z)). -7860*z - 2 Let j(q) = -37*q + 33*q + 1 - 1. Let f(k) be the first derivative of -2*k**3/3 + 1. Calculate f(j(x)). -32*x**2 Let n(s) = -2*s - 2. Let f(o) = -2. Let q(a) = -2*f(a) + 2*n(a). Let v(b) = 7*b**2. Let j(i) = i**2. Let x(p) = -5*j(p) + v(p). Calculate x(q(k)). 32*k**2 Let j(v) = 21*v**2 +
{ "pile_set_name": "DM Mathematics" }
+ 8. Let a be r(-2). Let s be 144 + 2 + -1 + a. Suppose 4*o = 2*b - 444, s = 2*b - 3*o - 300. What is the hundreds digit of b? 2 Suppose t + 2482 = 2*n, 3728 = 3*n + 3*t - 7*t. Suppose 0 = -9*z - n + 7585. What is the units digit of z? 5 Let s(w) = w**2 - 9*w. Let a be s(9). Suppose 2*x + 6*y = 2*y + 174, -3*x - 4*y + 263 = a. What is the units digit of x? 9 Let s(f) = 64*f**2 + 17*f - 93. What is the tens digit of s(16)? 6 Let m be 4107/3 + 8/2 + -2. Suppose 1119 = 5*a - m. What is the hundreds digit of a? 4 Let n = -1121 - -1704. Let o = n - 258. What is the units digit of o? 5 Let k = 10569 + 29701. What is the ten thousands digit of k? 4 Let z(w) = -w**3 + 6*w**2 + 3*w - 17. Let a be z(6). Let l(b) = 107*b**3 - 3*b**2 + 4*b. What is the units digit of l(a)? 8 Let b = 172 - 169. Suppose b*a + 252 = 7*a. What is the units digit of a? 3 Let r(t) = -t**3 - 15 + 23 - 8 + 4*t**2 + 2*t. Let i be r(4). Suppose -n = -i - 63. What is the tens digit of n? 7 Let c(t) = 348*t**2 - 8*t + 22. What is the hundreds digit of c(3)? 1 Let c(m) = -21 + 57 - 6 - 54*m + 104. What is the units digit of c(-19)? 0 Suppose t = 4*t + 7*t - 4*t. Let v(b) = b**3 - b**2 + b + 894. Let i be v(0). Suppose 9*j - i - 330 = t. What is the units digit of j? 6 Let i = 727 + 777. Let c = i - 420. What is the units digit of c? 4 Let q(t) = -t**3 + 3*t + 3. Let f be q(-2). Suppose -3*p - 2*p = 5*w - 1590, 4*p - f*w = 1254. What is the tens digit of p? 1 Let x be ((-25)/7 - -4)/((-3)/(-63)). Let h(f) be the second derivative of -f**4/6 + 11*f**3/3 - 10*f**2 - 2*f. What is the tens digit of h(x)? 1 Let d = -130 - -134. Suppose -w + 5*o + 92 = d*o, -4*o = 8. What is the tens digit of w? 9 Suppose -3*r + 4746 = -5*f - 5216, -4*f = -r + 3323. What is the hundreds digit of r? 3 Let q be (-1044)/8*10/15. What is the units digit of (-3 - (-33)/15) + q/(-15)? 5 Let g(f) = -f - 3. Let o(a) = -2*a - 4. Let i(c) = 3*g(c) - 2*o(c). Let z be i(5). What is the tens digit of (-2 - -99) + 1/((-2)/z)? 9 Let c be (-13)/(-3) + 9/(-27). Suppose -10*a + 5*a = -c*i + 2631, 5*a = -4*i + 2641. What is the tens digit of i? 5 What is the ten thousands digit of (-19 - -18)*12/30 - (-174157)/5? 3 Let u = -1545 - -2204. Suppose u = -8*m - 341. Let t = m - -260. What is the units digit of t? 5 What is the units digit of (-1 - 11/(-9)) + (-4771)/(-117) + 26? 7 Let c(h) be the first derivative of -h**3/3 - 14*h**2 - 42*h - 95. What is the units digit of c(-11)? 5 Let n(b) = b**3 - 2*b**2 + b - 3. Suppose -z - 8 = 5*y, y = 1 - 3. Let r be n(z). Let m(o) = 81*o**2 - 1. What is the units digit of m(r)? 0 Let z = -17885 + 26083. What is the tens digit of z? 9 Let w(u) = -u + 5. Let l be w(1). What is the units digit of (-888)/6*-2 + l? 0 What is the thousands digit of 1186 + (17 - 12) - -6*1? 1 Let m = 84798 + -37271. What is the tens digit of m? 2 Suppose -29570 = -51*c + 28774. What is the tens digit of c? 4 Let w(a) = -157*a - 470. What is the tens digit of w(-26)? 1 Suppose -1966319 + 6905199 = 80*m. What is the thousands digit of m? 1 Suppose 0 = 18*k + 4*k - 22. Suppose 0 = q + 4 + k, -d + 3*q = -830. What is the tens digit of d? 1 Suppose 5*y + 9504 = -4*u, -3*u + 3*y - 3111 = 3990. Let v = -1391 - u. What is the units digit of v? 0 Suppose 40*m = 171451 + 451429. What is the tens digit of m? 7 Suppose -4*k + 3*k = -5. Suppose 0*g + 5*q - 520 = -k*g, -2*g = -3*q - 233. Let r = g + -46. What is the units digit of r? 3 Let g = -13 + 17. Suppose -3*w - i - 3 - 3 = 0, 2*w = g*i - 18. Let o = w + 23. What is the units digit of o? 0 Suppose -5*m + 186 = 2*w + 1, 225 = 3*w - 3*m. Suppose w + 37 = r. What is the hundreds digit of r? 1 Let l(i) = i**2 + 3*i + 5. Let u be l(0). Suppose -u*o - 11 = 39. What is the hundreds digit of -2 + 5/(o/(-326))? 1 Suppose 6*y + 4*z = 2*y - 16, 2*z = 3*y - 8. Suppose y = 3*t - 3*a + 6*a - 429, -4*a = -4. What is the hundreds digit of (1/4 - 10/(-8))*t? 2 Let g(c) = c**3 + 40*c**2 - 26*c + 5. What is the thousands digit of g(-35)? 7 Let p(s) = -12*s + 6*s**2 + 17 - 49 + 37 + s**3. What is the tens digit of p(-6)? 7 Suppose 0 = 9*x - 14 - 22. Suppose -x*u + 5*q + 203 = 0, -265 + 5 = -5*u + 5*q. What is the units digit of u? 7 Suppose 0 = -2*l + 8, -2*t - 5*l + 39 = -121. Suppose 0 = -4*g + t - 14. What is the units digit of g? 4 Suppose -5386092 = -257*l + 3168410. What is the units digit of l? 6 Let o(s) = 6*s**2 + 3*s + 1. Let r(g) be the first derivative of -3*g**2 - 9*g + 19. Let p be r(-2). What is the tens digit of o(p)? 6 Suppose -y + 17 = 5*c, -y = 3*y + 2*c - 50. What is the tens digit of y + -7 + 1 + 383? 8 Let r = 891 + 4501. What is the thousands digit of r? 5 Suppose -166*v - 12458 = -b - 162*v, v - 12438 = -b. What is the tens digit of b? 4 What is the hundreds digit of (2/2)/(23/80362)? 4 Let m = -488 - -486. Let t(c) = 197*c**2 - 13*c - 21. What is the tens digit of t(m)? 9 Suppose 5*d - 21*l - 64973 = -19*l, -5*d - 4*l = -64979. What is the units digit of d? 5 Suppose d = -2*k - 3*k, 0 = -5*d. Suppose 2*s = -0*s + 4*z + 156, k = -4*s - 3*z + 312. Let l = s - 70. What is the units digit of l? 8 Suppose 155*r + 108478 = 25542 + 901956. What is the tens digit of r? 8 Suppose 1949 = 29*v - 2575. Let b = 568 + v. What is the tens digit of b? 2 Let i(l) = -l**2 + l - 1. Let v(r) = -3*r**2 - 18. Let k(c) = -4*i(c) + v(c). Let o be k(-7). Suppose 5*u = 57 + o. What is the tens digit of u? 2 Suppose 0 = 37*r - 6*r - 379440. Suppose -2798*x - r = -2807*x. What is the tens digit of x? 6 Let r(v) be the second derivative of 3/4*v**4 - 1/20*v**5 + 13*v + 0 + 7/6*v**3 - 2*v**2. What is the units digit of r(8)? 6 Suppose -2420 = -5*v - p + 1302, 5*p = -3*v + 2220. Let r = -161 + v. What is the tens digit of r? 8 Let n = -64 + 73. Suppose a = 2*a - n. What is the tens digit of (-2)/(-2)*(-14 + a - -196)? 9 Let t = 503 - -387. Let x = 1628 - t. What is the units digit of x? 8 Let l(j) = 2 + 2*j + 3 - 3*j**2 - 5 + 2. Let x be l(-2). Let a(r) = -r - 10. What is the units digit of a(x)? 4 Suppose 35*q - 32304 = 32*q - 4*a, 2*q - 21528 = -4*a. What is the ten thousands digit of q? 1 Let n be (0 - 1) + (-8)/(16/550). Let h = 430 + n. Let f = -115 + h. What is the units digit of f? 9 Suppose 24*j + 1212 - 4212 = 0. Let i = 397 - j. What is the hundreds digit of i? 2 Let y(k) = k**2 - k + 1. Let m(g) = 6*g**2 + 2*g + 16. Let r(s) = -m(s) + 5*y(s). Let j be r(-9). Let n = j + 64. What is the tens digit of n? 3 Let z(u) = u**2 + 6*u - 5 + 6*u - 11 - 10. What is the hundreds digit of z(23)? 7 Suppose 0 = -5*t + 137 + 48. Let g = -32 + t. Suppose -6*i + g*i = -84. What is the units digit of i? 4 Suppose -3*p + w = -w - 13, -3*p + 4*w = -17. Suppose -3*i - 4*o - 28 = 0, p*o = -2*i - 3*i - 54. Let f(g) = -2*g - 8. What is the tens digit of f(i)? 1 Let p(k) = 3*k - 61. Let j be p(0). Let l = j + 58. Let r(g) = -4*g**3 + 2*g**2 - 4*g. What is the hundreds digit of r(l)? 1 Let k be (10/(-30))/(7/25347). Let w = 2581 + k. What is the hundreds digit of w? 3 Suppose -4*w = -3*u + 5*u - 1292, -1296 = -2*u - 5*w. Suppose 102 = 10*k - u. What is the tens digit of k? 7 What is the ten thousands digit of (-66)/(-11) + -21 - -19251? 1 Let p(h) = h**2 + 2*h - 3. Let c be p(-4). Suppose 0 = c*j - w - 5004, -3*w = -0*j + j - 988. What is the hundreds digit of j? 0 Let z be (2/4 - 1)/(4/(-9128)). Let b = 2546 - z. What is the tens digit of b? 0 Let f(j) = -j**3 - 29*j**2 - 55*j - 3. Let v be f(-27). What is the tens digit of (-234*(-6)/v)/(1/2)? 1 Suppose -4*u - 3*j = 2154, 5*u - 3*u - 2*j + 1070 = 0. Let b = 1028 + u. What is the units digit of b? 1 Suppose j + m + 3*m = 15, 4*j = m + 9. Let f be (-1)/(9/j)*-3. What is the units digit of 2/(f - 0) + 25 + 17? 4 Let m(a) = 6809*a**2 - 232*a - 232. What is the units digit of m(-1)? 9 Let q be 1/((-1)/6) - -837. Suppose -f + y + q = -0*y, -8 = 4*y. What is the hundreds digit of f? 8 Suppose -4*c = -3*s - 4048, -1705 = s + c - 351. Let z be 2/12*2 - s/(-24). What is the units digit of 4/14 + (-5024)/z? 0 Let x(j) = -9 - 8*j + 125 + 18*j + 12*j. What is the tens digit of x(24)? 4 What is the units digit of (-4)/(-7) - (-124704)/63? 0 Suppose -3*c - 2*b + 135 = 0, 5*c = -2*b - 2*b + 225. Let p = -32 + c. Suppose q = p + 66. What is the tens digit of q? 7 Let l(m)
{ "pile_set_name": "DM Mathematics" }
). Suppose 74 = -v*o + 23. Sort o, 2, g in increasing order. o, g, 2 Let y = 6732 - 6733. Put y, -235, -2 in decreasing order. y, -2, -235 Suppose 13*r - 80 = -7 - 8. Let x = -40 + 21. Let h = x - -22. Put h, 2, 1, r in decreasing order. r, h, 2, 1 Let h = -422.1 - -430.1. Sort 2/5, 45, h in ascending order. 2/5, h, 45 Suppose -4*t = -t + 13*t. Suppose 12*c = 3*c - 18. Suppose -15 = 2*a - 7*a. Sort c, a, t, -4 in decreasing order. a, t, c, -4 Let i = 1356 - 1322. Put 2, 0, i in decreasing order. i, 2, 0 Let p = -133.691 - 0.309. Let h = -145.6 - p. Let c = -12 - h. Sort 0.02, 1, c, -1/5 in ascending order. c, -1/5, 0.02, 1 Let x = -232 - -237. Let v be (-9 - -4) + 5 + x. Sort -7, -2, v, 2. -7, -2, 2, v Let r = -0.11 - -0.1. Let d = 197 + -372. Let o = 174 + d. Sort r, 4, o. o, r, 4 Suppose 0 = -4*b - b. Suppose b = -s + o, -8 = -s - o - 4. Let f = -11598 - -11602. Put s, f, -6 in decreasing order. f, s, -6 Let u be (0/3)/(-5 - (8 + -11)). Put u, -55/4, -1/5, -3 in decreasing order. u, -1/5, -3, -55/4 Let f = 243 - 244.3. Let g = -3.8 - -3. Let v = g - f. Put v, 3/16, 2 in ascending order. 3/16, v, 2 Suppose 0 = 8*y - 82 - 46. Let d be (-372)/y + (-16)/(-64). Let u(p) = p**2 + p + 5. Let g be u(0). Sort 1, g, d in increasing order. d, 1, g Let t = -270 - -367. Let i = -102 + t. Let k(f) = -f**3 - 2*f**2 - 3*f - 1. Let b be k(-2). Sort b, i, 1, 0 in descending order. b, 1, 0, i Suppose -d + 5*d = 12, 15 = -3*y + 5*d. Let q(l) = l**3 - 7*l**2 - 6*l - 1. Let t be q(8). Suppose 3*g - 6*g - t = y. Put -4, 5, g in descending order. 5, -4, g Let u = -17.5 + 14. Let g = -3 - u. Let p = 2867 - 2868. Sort g, -1/5, p in decreasing order. g, -1/5, p Let t = -0.1657 - -0.1657. Let k = 1527.6 - 1528. Let g = -0.1 - -1.1. Put -0.3, k, g, t in increasing order. k, -0.3, t, g Let y(q) = -q**3 - q - 2. Let b(w) = -5*w**3 + 14*w**2 - 38*w - 17. Let z(t) = b(t) - 6*y(t). Let i be z(-16). Sort i, 91, -1, -2. i, -2, -1, 91 Suppose -11*w = -7*w + 3272. Let r = -69 - w. Let i = r + -8245/11. Put -1, 4, i in decreasing order. 4, i, -1 Let f be 4/(60/9) - 24/120. Sort -1/2, 2/7, -4, f in increasing order. -4, -1/2, 2/7, f Suppose s + 2*l = -4, -3*s - 3*l = -5*s - 29. Let g be 54/s + 1 + 4. Let w = 150.7 + -151. Sort g, w, -3, 2 in increasing order. -3, g, w, 2 Let a be 14 + -11 + (-2)/(-2). Let y be (-14)/2*(a + -3). Let v = 121/436 - 3/109. Sort v, y, 0 in decreasing order. v, 0, y Let n = -665/5797 + -1/341. Let u = -5066/5 - -1120. Let q = 107 - u. Sort q, 2, n. n, q, 2 Let t = -128/5 + 25. Let v = 32.4 - -197.6. Let n = v + -233. Put n, t, -2 in descending order. t, -2, n Let g be (-10*3/3)/(-2). Suppose 0 = 5*u - g - 20. Suppose 5*n + 27 = -2*s + u*s, 0 = n - 5*s + 23. Put n, -1, 0 in decreasing order. 0, -1, n Suppose 0 = 2*r - 6, -r + 0 + 1 = 2*h. Suppose 3*a + 9 = -3. Let n be a/(-5)*(-3)/((-42)/35). Sort n, 5, h. h, n, 5 Let d = -76/3 + 25. Suppose -4*p - 4*g - 20 = -8*p, -2*g - 19 = -3*p. Let u be (p - 4) + 1 - 3. Sort -3, u, 0.3, d in decreasing order. u, 0.3, d, -3 Suppose 0 = -0*b - 5*b - 5. Let i(d) = -d**3 + 42*d**2 + 46*d - 123. Let v be i(43). Suppose -v = -6*m - 0. Sort 5, b, m. b, m, 5 Let k = -18.19 - -18. Let c = k - -5.19. Let x = 12.3 + -1.3. Sort -0.5, c, x. -0.5, c, x Let v = 1 + -0.95. Sort 0.1, v, 25 in decreasing order. 25, 0.1, v Let s = 39045 + -39045.4. Let v(u) = 13*u + 1. Let n be v(4). Let c = 266/5 - n. Put c, 3, s in descending order. 3, c, s Suppose -20*v + 17*v + 146 = w, -3*w - 79 = -2*v. Sort -5, v, 18 in decreasing order. v, 18, -5 Suppose 5*q + 0*t + 2*t + 1567 = 0, 5*t = 5*q + 1560. Let d = -627/2 - q. Sort -5, -3, 18, d. -5, -3, d, 18 Let b = -1739/1158 + 1/579. Put 22/3, b, 4 in increasing order. b, 4, 22/3 Let b(d) = -22*d**2 + 281*d + 83. Let j be b(13). Put -3, j, 0, -23 in decreasing order. j, 0, -3, -23 Let n be (1 + -1)*-4*26/208. Sort 3, n, 45, -5 in descending order. 45, 3, n, -5 Let p = -160/24321 - 2/201. Let d = p + 1337/363. Put 4, -3, d in increasing order. -3, d, 4 Let u = -256 + 253. Let t be 8/2 + 9/(-3) + 2. Sort 0, -6, u, t. -6, u, 0, t Let y be (6 - (-50)/(-8))*12 + 1. Let x be ((-15)/45)/(-2 - (-124)/60). Suppose -1 = -5*i - 6. Put x, 6, i, y in decreasing order. 6, i, y, x Suppose -a + w = -14, 5*w = -2*a + w + 46. Suppose 8*c + 7 = -a. Let h be c*1 - (10 + -11). Sort 2, h, -7. -7, h, 2 Let j be 4/14 + 23/(-7). Let c(s) = -s**2 - s - 1. Let m(p) = 3*p**2 + 26*p + 18. Let f(b) = -5*c(b) - m(b). Let d be f(11). Put d, -5, j, 5 in ascending order. -5, j, d, 5 Let f = -43 - -47. Suppose f*n = 2*n - 6*n. Suppose 253 = -4*y + 273. Sort y, n, -6 in decreasing order. y, n, -6 Let k be (-11)/(-9) + (3 - 4). Let w = 337 + -337. Let f = 0.2 + -0.7. Sort w, f, k, -3/5 in decreasing order. k, w, f, -3/5 Let q be (1/(-7))/((-19)/190*-25). Put q, 2, -2 in increasing order. -2, q, 2 Let m be 12/(-10) + 2295/(-255) + 116/5. Suppose 2*f + 8 = -2*f. Put -4, m, f in ascending order. -4, f, m Let a = -9939 + 9917. Put a, 1, 53 in decreasing order. 53, 1, a Let f(q) = 2*q**3 - 2*q**2 - 11*q + 6. Let r be f(8). Let x be (-10)/6 - r/(-462). Let p(h) = h**2 - 5*h - 1. Let d be p(5). Sort d, x, -0.4 in ascending order. d, -0.4, x Suppose -175 = 16*a - 19 + 500. Sort -1, 5, a, -5. a, -5, -1, 5 Let m = 383.1 + -383. Let w(r) = -r**2 - 18*r - 33. Let i be w(-15). Sort m, i, 0.5 in decreasing order. i, 0.5, m Let f(t) = -3*t - 16. Let p be f(-6). Let m be (-1)/(-2)*p*0. Let x be ((-154)/80 - -2) + 228/(-1140). Sort -3, m, 0.3, x in increasing order. -3, x, m, 0.3 Suppose -10 = -28*n + 30*n. Suppose -2 = 18*c + 52. Sort 4, c, 5, n in descending order. 5, 4, c, n Suppose -4*w + 72 = 8*n, 0 = 3*w - 7*w + n + 99. Put -5, 1, 2, 21, w in decreasing order. w, 21, 2, 1, -5 Let x = -186 - -181. Let b(i) = -i**3 - 2*i**2 + 14*i + 29. Let q be b(-3). Sort q, 5, x, -1 in increasing order. x, q, -1, 5 Let m = -0.68 + 1.46. Let g = 1.78 - m. Put -7, 0.2, g, 0 in descending order. g, 0.2, 0, -7 Let q(m) = -m**2 + 4*m - 5. Let t be q(3). Let s be (9/((-36)/(-8)))/t. Suppose 28 = -4*u + 4*k, 7 = -4*u + k - 4*k. Sort s, -5, u in decreasing order. s, u, -5 Let w = 3.3 + -2.2. Let g = -33409/6 + 5568. Sort g, -5, -0.5, w in decreasing order. w, g, -0.5, -5 Let v(y) = -216*y + 1296. Let q be v(6). Put -5, 6, q, -34 in increasing order. -34, -5, q, 6 Let i be -1 - 5*(-4 + 3). Let h = -48 - -71. Suppose -j + s + 17 = 5*s, -j = -i*s + h. Sort 1/3, j, 4, -5 in ascending order. -5, j, 1/3, 4 Let m(c) = -c**2 + 5*c + 5. Let j be m(5). Let a(x) = -x**3 - 19*x**2 - 2*x + 2*x**3 - 3 + 23*x**2. Let l be a(-3). Put l, 0, -5, j in decreasing order. l, j, 0, -5 Let d = -10 + 7. Let i be ((-12)/(-47))/(-6) + 3574/47. Sort d, i, -1. d, -1, i Suppose 3*g = -4*k + 18, 0*g - 13 = g - 5*k. Suppose 66*z - 78 + 540 = 0. Sort z, g, -2/7 in decreasing order. g, -2/7, z Suppose 0*x - 8 = -2*x. Let t be 4452/336 - 33/4. Sort -149, x, t in ascending order. -149, x, t Let z(b) = -3*b - 7. Let v be z(5). Let x = -29 - v. Suppose 2*d = -0*d + 5*y + 1, -9 = 5*d - y. Sort x, -1, 2, d. x, d, -1, 2 Let d = -2116 - -2111. Sort d, -0.2, -16 in descending order. -0.2, d, -16 Let o = -3.8 - -4.2. Suppose -2*r - 23 = -s - 3*r, 0 = -5*s - 2*r + 112. Let x be (-7)/(-3) + -24 + s. Sort 3, o, x, -1 in decreasing order. 3, o, x, -1 Let o be 408/1990 + 4/(-20). Let l be 8 + (78/(-65))/((-4)/(-40)). Sort -2/15, o, l in descending order. o, -2/15, l Let s(u) = -3*u**2 - 105*u - 917. Let t be s(-17). Suppose 3*j + 0*l + 4 = 4*l, -l + 1 = -2*j. Suppose 4*p + p - 25 = j. Put t, p, -5, 3 in descending order. p, 3, t, -5 Let c = -0.0257 - 23.8743. Let f = -24.3 - c. Sort f, -10/7, 1, -1/7 in ascending order. -10/7, f, -1/7, 1 Let n(b) = -433*b - 18187. Let o be n(-42). Let t(r) = -r - 3. Let z be t(-4). Put o, z, -9, -2 in decreasing order. z, o, -2, -9 Let r = 2 + -1.6. Let v = 0 + r. Let z be (-4)/((40/(-6))/(-10)). Put z, v, 2/15 in descending order. v, 2/15, z Let d = 2/51 - -32/51. Let w(u) = 5*u**3 - 2*u**2 - 4*u + 5. Suppose -2*x + 5 = -2*y + 17, 0 = -5*x - 25. Let b be w(y). Sort d, b, 2/19 in increasing order. 2/19, d, b Let f = 43.79 + -43.78. Put -2/17, 10, 3, f in decreasing order. 10, 3, f, -2/17 Let n = -0.46 - -0.06. Let h = 20025 + -20028. Sort h, n, 3. h, n, 3 Suppose 2*p - 3*p = 131
{ "pile_set_name": "DM Mathematics" }
0. Let u = 12 + t. Let p(d) = d**3 - d**2 - d - 3. Give p(u). -3 Let h(n) = -n**3 + 10*n**2 - 9*n - 10. Let j be 4*2 - 3*8/(-24). Calculate h(j). -10 Let u be (892/28 - -4) + 1/7. Let g be 24/u - 20/(-6). Let v(w) = w**3 - 3*w**2 - 4*w - 1. What is v(g)? -1 Let y be 130/35 + 6/21. Let b(t) = t + 2. What is b(y)? 6 Let z(q) = -q**2 - q - 1. Let c(h) = -h**3 + 5*h**2 + 2*h + 7. Let d = 10 + -8. Let i(y) = d*z(y) + c(y). Calculate i(4). -11 Let c be (0 - -1)/((-1)/3). Let m(o) be the first derivative of 16 + o - 1/2*o**2. Give m(c). 4 Let a(r) = -r - 1. Let n be (-1 - 28/(-4)) + -3. Suppose 0 = -n*q - 4*g - 19, 5*g + 14 = -2*q + 2*g. What is a(q)? 0 Let k(t) = t**2 + t - 9. Let y(b) = -b**2 + 9. Let z(v) = -6*k(v) - 5*y(v). Suppose 0 = 5*w - 3*u + 44, -86 = 5*w + 3*u - 20*u. Give z(w). 2 Let o(i) = 3*i**3 + i**2 - 3*i - 2. Let g(x) = 2*x**3 - 3*x - 2. Let z(p) = 5*g(p) - 4*o(p). Suppose -k + 13 = -3*y, 2*k - 17 = 3*y - 0*y. Give z(y). 25 Let m(l) = -425*l**2 + l + 7*l + 426*l**2 + 2. Give m(-6). -10 Suppose -1 = 5*l + 3*x, -7 = 5*l + 5*x - 2. Let r(g) = 2*g**3 - l + 4*g**3 - 11*g**3 + 2*g**2. Give r(-1). 6 Suppose 0 = 3*t - 8*t - 10. Let i(r) = -2*r - 3. Let u(f) = f**2 - 6*f - 11. Let l(z) = -7*i(z) + 2*u(z). Give l(t). 3 Let c(r) = -r - 7. Let t(k) = 2*k + 13. Let b(h) = 5*c(h) + 3*t(h). Let q be 168/(-30) - 4/10. Let x(d) = d**3 + 5*d**2 - 5*d. Let j be x(q). Determine b(j). -2 Let l(w) be the first derivative of 3*w**2/2 + 2. Let s(v) = -v. Let c(m) = 2*l(m) + 5*s(m). Suppose -2 = 5*o + 8. What is c(o)? -2 Let i(d) = 6*d**3 - d**2 - d - 1. Let c(l) = -38*l**2 - l - 4*l + 37*l**2. Let m be c(-4). Suppose h + m = -3*h. Calculate i(h). -7 Let o(n) = -n**3 + 4*n**2 + n - 2. Let j be (-1778)/(-42)*(-1 + 4). Let b = 129 - j. Give o(b). 8 Let c(v) be the second derivative of -v**3/6 - 11*v**2/2 - 16*v. Let n be c(-9). Let m(o) = 3*o**2 - o - 2. Give m(n). 12 Let b(q) = -2*q + 3. Let i(v) = -5*v + 11. Let g(j) = 8*b(j) - 3*i(j). What is g(-11)? 2 Let f(g) = -2*g**2 + 9*g - 15. Let z(j) = -j**2 + 5*j - 8. Let n = 70 + -74. Let m(t) = n*f(t) + 9*z(t). Give m(8). -4 Let j(u) = 3*u**2 - 7*u + 3. Let k(w) = -15*w + 198. Let i be k(13). Give j(i). 9 Suppose -3*i + 3*a = 6, a + 20 = 5*a. Let c(t) = -t**3 + 6*t - 6. What is c(i)? -15 Suppose o - 16 = 4*l, o + l - 4 = 2*l. Let g be o/(0 - (0 - -2)). Let s(q) = q - 2. Let h(b) = -6*b + 10. Let i(n) = -2*h(n) - 11*s(n). What is i(g)? 2 Let u = -160 - -154. Let p(q) = q**3 + 6*q**2 + 6*q + 3. Calculate p(u). -33 Let z be (6/4)/(2/(-4)). Let v(c) be the third derivative of -c**5/60 - c**4/24 + c**3/6 + 3*c**2. Calculate v(z). -5 Let k(d) = -26*d - 31. Let t(v) = -9*v - 11. Let n(r) = -6*k(r) + 17*t(r). Suppose 4 = z + z. Determine n(z). 5 Let n(s) = -s - 6. Suppose -5*c = -p + 6090, 4*p + 957 = 4*c + 5829. Let t be c/77 + 4/(-22). Let a = -21 - t. Determine n(a). -1 Let r be 0 + 980/126 - 2/(-9). Let b(m) = 3*m - 7. Let p(l) = 1. Let q(c) = 5*c - 7. Let n(h) = 3*p(h) - q(h). Let x(i) = r*b(i) + 5*n(i). Determine x(-7). 1 Suppose 3*g - 4*d + 0*d = -24, 3*d = -3*g - 24. Let t(f) = f**3 + 8*f**2 + 1. Determine t(g). 1 Let f(c) = c**2 - c + 1. Let v(r) = -r**2 + r. Let b(p) = -2*f(p) - 3*v(p). Determine b(7). 40 Let x be (0 + 60)*60/240. Let d(m) = -m**2 + 15*m - 2. Calculate d(x). -2 Let n(h) = h**2 + h - 1. Suppose 0 = 7*w + 2196 - 2210. Give n(w). 5 Let b(c) = -3*c**3 + 3*c + 2. Suppose 574 + 86 = -6*p. Let g = -112 - p. Calculate b(g). 20 Let g(b) = -b + 132 + 138 - 268. Give g(-11). 13 Let p = 1692 - 1699. Let y(s) = -3*s + 8. Let k(r) = 4*r - 9. Let d(x) = 4*k(x) + 5*y(x). Determine d(p). -3 Let m(j) = -j**3 - 13*j**2 - 4*j + 72. Let c be m(-12). Let f(x) = 2*x + 39. What is f(c)? -9 Let i(h) be the second derivative of h**4/6 - 2*h**3/3 - 148*h. Suppose 0 = -2*z - 5*w - 2, 0 = -5*z + z + 4*w - 32. Let c be (2/(-3))/(z/27). Calculate i(c). 6 Suppose a + 3 = 4*f, -3*f = 9*a - 8*a - 11. Let k(j) = j**3 - 7*j**2 + 10*j + 1. Calculate k(a). 1 Let b(n) = -7*n - 28 + n**2 + 0*n**2 + 33 - 6*n. What is b(13)? 5 Let v(y) be the first derivative of -7 - 5/2*y**2 + 0*y - 1/3*y**3. Suppose 0*m = 4*k + 4*m + 20, 23 = -3*k + 5*m. Determine v(k). -6 Let z be 2 + (-18)/12 + (-43)/(-2). Suppose -5*g + g + 92 = 0. Let o(a) = -z*a**3 - 2 + a + 0*a + g*a**3. Give o(0). -2 Let n(y) = 4*y**3 - 42*y**2 - 86*y + 5. Let k(i) = -i**3 + 14*i**2 + 28*i - 2. Let u(f) = 7*k(f) + 2*n(f). Determine u(-12). -4 Let m = 2 - 1. Suppose 0 = -2*w - m - 1. Let h(z) be the second derivative of -z**4/12 + z**3/6 + z + 3. Determine h(w). -2 Let j(k) = -k**3 - 4*k**2 - 8*k - 9. Suppose -38*v - 14 = -31*v. Determine j(v). -1 Let f(z) be the third derivative of z**5/60 - z**4/6 + z**3 + 9*z**2 + 4*z. Calculate f(5). 11 Let u(y) = -3*y + 6 + y**3 - 3*y**2 - 1 + 4*y - 2*y. Let k be 1/((-4 + 11)/28). Calculate u(k). 17 Let v = -1 - -4. Let c(f) be the second derivative of 0 - 1/2*f**2 - 1/4*f**4 - 23*f + 1/2*f**3 + 1/20*f**5. Calculate c(v). 8 Let v(o) = o**3 + 6*o**2 - 2*o - 7. Suppose -127*j + 170*j = -301. Give v(j). -42 Let s(w) = 3*w**3 + w**2 - w + 1. Let a(l) = 2*l**3 - l + 1. Let g(z) = -a(z) + s(z). Calculate g(0). 0 Let r(o) = 3*o**2 - o - 1. Let h be r(-1). Let v(j) = -8 + 10 - h + j**2 - 2*j. Suppose 0 = 2*w - 4*x - 1 - 5, w + 4*x - 3 = 0. What is v(w)? 2 Let p(d) be the first derivative of d**3/3 - 11*d**2/2 + 11*d + 97. Give p(8). -13 Let r be (-4 - -8) + 1 + 1. Let g(y) = 2*y**3 - 2*y + 7*y**2 - 6*y - 6 + 8 - 3*y**3. Calculate g(r). -10 Let m(c) be the first derivative of 2/3*c**3 - 2*c**2 - 3*c - 1. Determine m(4). 13 Let c(q) be the third derivative of -q**6/120 + q**5/60 - q**4/24 + 7*q**3/3 - 7*q**2 + 16. Give c(0). 14 Let u(b) = 0 + b - 2*b + 5 + 5*b. Suppose -l - 5*o - 17 + 28 = 0, 9 = 3*o. Give u(l). -11 Suppose 2*h - 28 - 12 = 0. Suppose h = 3*d + d. Suppose 5*o + 3*j + j + 22 = 0, 32 = -d*o + j. Let p(v) = v**3 + 7*v**2 + 5*v - 3. Determine p(o). 3 Suppose 179*g = 128*g. Let i(y) be the third derivative of 1/24*y**4 + g*y - 11/6*y**3 - 8*y**2 + 0. Give i(7). -4 Let q(k) = k**3 - k - 1. Suppose 0 = 3*w + 3*d + 6 + 3, -2*w + 6 = -2*d. Calculate q(w). -1 Let i(c) be the third derivative of -c**4/8 - 5*c**3/6 + 93*c**2 - c. Give i(-9). 22 Let n = -16 + 22. Let c(j) be the third derivative of j**4/8 - 3*j**3/2 - 5*j**2 - 4*j. Give c(n). 9 Let n(f) = -f - 5. Let s(m) = -4*m - 25 + 33 + 15 + 33. Let r be s(13). Calculate n(r). -9 Let z(i) = -i**3 + i + 2. Let t = -25 + 28. Suppose 4*o - 12 = t*v, 0*o - 15 = -4*v - 5*o. Determine z(v). 2 Let v(u) = -u**2 + 9*u - 9. Let g be 16/(-6)*(-6)/(-2). Suppose 2*i + 4 = -0. Let o = i - g. What is v(o)? 9 Let d(l) be the third derivative of -l**6/120 - l**5/30 - l**4/12 - l**3/6 + 249*l**2. Give d(0). -1 Let i(g) = 6*g - 9*g**2 + 21 - 17 + 10*g**2. Calculate i(-4). -4 Let w(x) = -2*x - 14. Let a(m) = -m - 7. Let z(b) = -5*a(b) + 2*w(b). Let v be -3 + (3 + -10)/(-1). Suppose -7*g = -v*g. What is z(g)? 7 Suppose -9 = 3*j + 5*l, 3*j - l = l + 12. Suppose j*s = 5*s - 15. Suppose 0 = 4*t - s*d + 23, 1 = -t + 2*d - 7. Let n(h) = 4*h + 2. Determine n(t). -6 Let s(m) be the first derivative of m**3/3 - 3*m**2 - 7*m - 4. Let d(a) be the first derivative of s(a). What is d(4)? 2 Let h = 11 + -10. Let a(v) = 7*v - 3. Let r be a(h). Let o(q) = -q**2 + q + 4. What is o(r)? -8 Let d(y) = -y**2 - 12*y - 10. Suppose 4*x = 2*o, 5*x = -o + 2*x - 20. Calculate d(o). 22 Let y(g) = g**3 + g**2 - 2*g + 1. Let i = -77 + 80. Let r be 24/20 - (i + -2)/5. Give y(r). 1 Let x(h) be the third derivative of h**6/120 - h**5/12 - h**4/4 - h**3 - 149*h**2. Give x(6). -6 Let r(b) = b**3 + 2*b**2 - 1. Let m be r(-1). Let y(v) = v**3 + v**2 - 2*v + 4. Let w be y(m). Let x(l) = -l**3 + 3*l**2 + 5*l. What is x(w)? 4 Let z(l) = -l - 6. Let s be 36/(-342) + ((-390)/(-95) - 0). Calculate z(s). -10 Let d(u) be the third derivative of -1/2*u**3 + 0*u + 0 + 1/60*u**5 - u**2 - 1/6*u**4. Calculate d(4). -3 Let q(y) = y**3 + y**2 - 6*y - 4. Suppose 0 = -z - 4, 4*p = 4*z - 5*z - 24. What is q(p)? -74 Let u(j) = -2 - 9*j + 2*j**3 - j**3 + 5*j**2 + 6 + 3*j. Suppose 5*i - 12 = -42. Calculate u(i). 4 Let q(f) = f + 108*f**3 + 108*f**3 - 212*f**3 + 1 + 1 + 3*f**2. Calculate q(-2). -20 Let z(i) = -2 - 5 - 3 + 10 + 1 + 2*i + 16*i**2. Give z(-1). 15 Let
{ "pile_set_name": "DM Mathematics" }
9 Suppose 0 - 50 = -10*l. Suppose l*p - 2*d = 291, -2*p + 58 + 70 = 5*d. Calculate the remainder when p is divided by 10. 9 Let g be 22/33 - 4/6. Suppose g = -57*r + 42*r + 360. Let c = -5 - -10. What is the remainder when r is divided by c? 4 Let a(j) = j - 16. Let d be a(21). Suppose 15*w + d*w - 320 = 0. Calculate the remainder when 49 is divided by w. 1 Let s = -294 - -460. Suppose t + 3*t = -3*u + s, 162 = 4*t + u. What is the remainder when 98 is divided by t? 18 Suppose 0 = 6*s + 9 - 39. Suppose 0 = -8*z + 61 - s. Suppose -z*l = -8*l + 16. Calculate the remainder when 62 is divided by l. 14 Suppose -14 = y - 2*y + 3*v, 0 = 3*y + 3*v + 6. Suppose -y*i - 84 - 48 = 0. Let a = -59 - i. What is the remainder when 17 is divided by a? 3 What is the remainder when (-80 + 84)/(6/333) is divided by 213? 9 Suppose -2*x + 7*x + 4*s = 131, -3*s + 35 = x. Suppose -1294*y + 1297*y = 4*t + 414, -712 = -5*y + 3*t. What is the remainder when y is divided by x? 8 Let g(r) = -5*r + 1. Let y be g(8). Calculate the remainder when 18*((-17)/(-3) + -4) is divided by (-3)/(-6)*(-7 - y). 14 Suppose -2*w + 14 = 2*v, -2*w + 4*v = v + 6. Suppose -4*a = -3*a - 206. Let x = a - 189. Calculate the remainder when x is divided by w. 2 Let k(a) = -295*a + 1214. What is the remainder when 1913 is divided by k(4)? 9 Suppose -9*t - 1442 = 4147. Let y = t - -667. What is the remainder when (681/6)/((-2)/(-4)) is divided by y? 43 Let p(h) = -1691*h - 35. Calculate the remainder when p(-2) is divided by 108. 107 Suppose -5*t + 2*y + 363 + 0 = 0, 2*t - 2*y - 150 = 0. Calculate the remainder when t is divided by ((-3)/6)/((-16)/800). 21 Let m(x) = 2*x**3 + 13*x**2 - 65*x - 397. What is the remainder when 133 is divided by m(-6)? 17 Suppose 4*y - 1320 = 4*u, 4*y - 2*u - 1148 - 172 = 0. Suppose 5*t - 82 = -n, -4*n - n - 5*t = -y. What is the remainder when 492 is divided by n? 58 Let m = -14 - -23. Let h(k) = -k**3 + 9*k**2 + 2*k - 2. What is the remainder when 2490/58 + (-150)/(-2175) is divided by h(m)? 11 What is the remainder when 1867 is divided by (-273)/(-13) + (-14 - -19)? 21 Suppose -2*a + 410 = -5*l, 25*l = 22*l. Let o(h) = 53*h**2 + 3*h - 3. What is the remainder when a is divided by o(1)? 46 Suppose 0 = -q + 5*o + 156, 55*q - 53*q = -2*o + 384. Calculate the remainder when q is divided by 16. 10 Let a(v) = -5*v - 98. Let h be a(-20). Suppose -2*t = -h*x - 26 - 10, x + 3 = 0. What is the remainder when 22 + (0 + 2 - 4) is divided by t? 5 What is the remainder when 30094 is divided by (-92)/(-6) + ((-168)/36)/(-7)? 14 Let v(r) = 2 - 3*r**2 + 6*r + 2*r**2 + 5*r**2. Calculate the remainder when v(-4) is divided by 18/4*(-2)/(-1). 6 Let w = -18679 + 18699. Calculate the remainder when 535 is divided by w. 15 Let l = -7330 + 7340. What is the remainder when 3815 is divided by l? 5 Suppose 300*v + 14763 + 164210 = 821573. Calculate the remainder when v is divided by 306. 0 Let o(j) = -16*j**2 + 4*j + 15*j**2 + 17 + 2*j. Let m be o(8). Let q(w) = 150*w**3 + 3*w**2 - 3*w + 1. What is the remainder when q(m) is divided by 38? 37 Let p(k) = -415*k - 1232. Let h = 82 + -28. Let y = -4 + h. What is the remainder when y is divided by p(-3)? 11 Suppose -2*l - 5 = -23. Suppose -4*i - 4 = -6*i. Suppose -3*n + 24 - 9 = 4*c, 4*n + 2 = i*c. What is the remainder when l is divided by c? 0 Let v be 8/(-12)*4*(-9)/12. Let b(g) = 9*g**3 + 4*g**2 - 7. What is the remainder when b(v) is divided by 42? 39 Let w = 226 - 181. What is the remainder when w/2*6/9 is divided by 6? 3 Let d = 1197 + -480. Calculate the remainder when d is divided by 33. 24 Suppose -497 = 5*f - l, 0 = -3*f + l - 143 - 154. Let y = f - 93. Let x = -112 - y. What is the remainder when x is divided by 14? 11 Suppose 68*m + 6080 = 49*m. Let o = m - -412. Calculate the remainder when o is divided by 11. 4 Let p(w) = -w**2 - 13*w - 9. Suppose -4*c + 1 = -3*c. What is the remainder when -12 - -12 - (c - 51/1) is divided by p(-11)? 11 Suppose -6*l = -8*l + 262. Let o = -103 + l. Calculate the remainder when 444 is divided by o. 24 Suppose 8 = -19*w + 23*w, -6*n - 3*w = -12198. What is the remainder when n is divided by 9? 7 Suppose -6*o = -4*o - 70. Let k(y) be the third derivative of 19*y**5/60 + y**4/8 - y**3/6 + 44*y**2 + y. What is the remainder when k(-2) is divided by o? 34 Suppose 3*z + z - 8 = 0, -t + 951 = 5*z. What is the remainder when t is divided by 86? 81 What is the remainder when 460 is divided by (-2)/(-10) - -12*(-342)/(-30)? 49 Suppose -2*r - 3*a - 11 = -5, -6 = 3*a. Suppose -7*x - 146 = -3*b - 3*x, r = -b + x + 49. What is the remainder when 247 is divided by b? 47 What is the remainder when -8054*4/(-10 + 2) is divided by 19? 18 Suppose -3*n - 150 = -2*h, h = 3*n + 17 + 55. What is the remainder when 262 is divided by h? 28 Suppose -427 = -2*x + 255. Let h = 188 - x. What is the remainder when (-3)/2*h*2/3 is divided by 31? 29 Suppose -15 = -14*q + 9*q. Suppose k + 25 = 4*x, k + q*k = -3*x - 5. Calculate the remainder when (156/10 - -1) + 15/(-25) is divided by x. 1 Let n(t) = -t**2 + 26*t + 331. Let x be n(33). What is the remainder when -5*10/x*-142 is divided by 5? 1 What is the remainder when 3443 is divided by 2/(-6)*(-6)/(-4)*(243 - 269)? 11 Let s = -137 + 142. Suppose -2*m - 2 = 0, s*m = 3*t - 6 - 50. Calculate the remainder when 28 is divided by t. 11 Let j(b) = -10*b**3 - 176*b**2 - 11*b + 110. What is the remainder when j(-19) is divided by 84? 81 Let k be (-9 - -4)*-158*3/30. Suppose 4*f = v + k, 0 = 5*f + 4*v - 37 - 46. Calculate the remainder when 71 is divided by f. 14 Calculate the remainder when 2632 is divided by (1/3)/(2/402) - (43 + -42). 58 Let u = -424 - -431. What is the remainder when (-2861)/(-7) + 58/u + -8 is divided by 41? 40 Suppose -3*u - 3 + 0 = -3*j, 0 = -5*j - u - 1. Suppose 6*l + j*l + 72 = 0. Let x = l + 54. Calculate the remainder when x is divided by 9. 6 Let o(d) be the second derivative of -1/20*d**5 + 3/2*d**4 + d + 13 + 15*d**2 - 8/3*d**3. Calculate the remainder when 328 is divided by o(17). 46 Let j(r) = 8*r - 36. Let u be j(5). Suppose 2*n + 2*n - 946 = 3*k, n + u*k = 246. Suppose 18*y - n = 11*y. Calculate the remainder when y is divided by 12. 10 Suppose 25*a = -4*z + 27*a + 500, 3*z - 389 = 5*a. Calculate the remainder when z is divided by 34. 21 Let b = 535 - 433. Calculate the remainder when (-658)/(-12) + 17/b is divided by 32. 23 Suppose -z + 11 = 3*r - 0, 4*z - r = 31. Suppose -7*v + 225 = -286. Suppose -g - 3*s + 12 = -5, -3*g + v = -2*s. What is the remainder when g is divided by z? 7 Suppose -4*n + 707 = -2*z + 3*z, -2*z - 366 = -2*n. Calculate the remainder when n is divided by (14/7)/(-1*(-4)/94). 37 Let c = -3 - -10. Suppose 182*i + 43*i + 3588 - 35763 = 0. What is the remainder when i is divided by c? 3 What is the remainder when 111/(-74)*(-3098)/3 is divided by 504? 37 Let s = -829 - -1417. Calculate the remainder when s is divided by 102. 78 What is the remainder when (0 + 111)/((-9)/(-6)) is divided by (-10)/(-6)*(-10 - -34)? 34 Suppose 569 - 47 = 58*t. Calculate the remainder when 235 is divided by t. 1 Suppose -2*w - w + 123 = 5*h, 4*w = 2*h - 70. Suppose -9*s = -h - 63. What is the remainder when 167 is divided by s? 7 Let b(i) = 11*i + 15. Let q be b(5). Let h(s) = 2*s**2 + 10*s. What is the remainder when (q/(-21))/(2/(-66)) is divided by h(-7)? 26 Let p(x) = 7*x + 4. Suppose -55*k + 68 + 542 = 6*k. What is the remainder when p(5) is divided by k? 9 Calculate the remainder when 1482 is divided by (0 - (-1)/2)*12 - -160. 154 Suppose 4*k - 4*f = 376, 0 = 3*k + 5*f - 365 + 51. Calculate the remainder when k is divided by 0 + ((-336)/(-33) - 12/66). 8 Suppose 0 = -5*w + 31 - 46. Let j(x) = 2*x**2 - 3*x - 13. Calculate the remainder when 54 is divided by j(w). 12 Let i = 536533 - 536495. Let f(j) = j**2 + j + 2. What is the remainder when i is divided by f(-2)? 2 Let a = 4867 - 4811. Calculate the remainder when 556 is divided by a. 52 Let p = 69 - 73. Let g = p - -317. What is the remainder when g/8 + 2/(-16) is divided by 20? 19 Let l = -102 + 102. Suppose -7*d + 10*d - 120 = l. Let y = -20 + d. Calculate the remainder when y is divided by 8. 4 Let r(g) = -g**3 - 4*g**2 + 2*g + 13. Let z be r(-4). What is the remainder when ((-207)/(-27) -
{ "pile_set_name": "DM Mathematics" }
82174 - 2782174. What is v rounded to the nearest 1000000? -1000000 Let l = 0.309 - 130.309. Let v = 2.14 - 124.44. Let n = l - v. Round n to zero dps. -8 Let p = 10 - 8. Suppose -p*l = -l - 130000. Round l to the nearest one hundred thousand. 100000 Let n = 18 - 18.095. What is n rounded to two dps? -0.1 Let v = 8 + -7.948. Let u = v + -0.05114. Round u to four dps. 0.0009 Let b = -286.9999718 - -287. What is b rounded to six dps? 0.000028 Suppose 0 = -4*g - 2 + 10. Suppose 5*v - 2*p + 205004 = 0, -g*v + 2*p + 122996 = -5*v. What is v rounded to the nearest ten thousand? -40000 Let m = 0.076999437 + -0.077. What is m rounded to seven dps? -0.0000006 Let y = 0.5 - 0.56. Let h = 0.13 + y. Round h to one decimal place. 0.1 Let u = -2771.055 - -2791. Let l = 20 - u. Round l to two decimal places. 0.06 Let h = 36 - 35.9998. Round h to 4 decimal places. 0.0002 Let z = 0.1413721 + -0.1413. Round z to five decimal places. 0.00007 Let u(i) = 759997*i + 9. Let v be u(3). Round v to the nearest 100000. 2300000 Suppose 0 = -i + 43 - 7. Suppose 0 = n + 3, -i = m - 0*n + 3*n. What is m rounded to the nearest 10? -30 Suppose o - 2*p - 2*p = 456, p = 2*o - 884. What is o rounded to the nearest 100? 400 Let d = 44201.9 + -37921.692. Let i = 6275.208007 - d. Let j = -5 - i. Round j to 6 decimal places. -0.000007 Let b = 226 - 223.512. Let n = -0.148 + b. What is n rounded to one dp? 2.3 Let c(y) = 38*y + 2. Let k be c(2). Let g be 2 - -2*(-1)/(-2). Suppose g*u = -0*u - k. What is u rounded to the nearest ten? -30 Let l(v) = v**2 - 2*v + 2900. Let w(s) = -2*s**2 + 3*s - 2900. Let z(x) = -3*l(x) - 2*w(x). Let o be z(0). Round o to the nearest one thousand. -3000 Let h = 13907 + -3707. Round h to the nearest one thousand. 10000 Let j = 113.99 - 113. Let a = j - 0.5. Let b = 0.48999969 - a. What is b rounded to 7 dps? -0.0000003 Let i be 23/8 + (-6)/(-48). Suppose -i*l - z - 16199995 = 0, 0 = l + l + 3*z + 10799985. Round l to the nearest 1000000. -5000000 Let z = -0.2118 + 24.1518. Let q = z + -24. Round q to one dp. -0.1 Let v = 43 + -46.8. Let a = v - -3.838. What is a rounded to two dps? 0.04 Let r = -0.4 + 0.56. What is r rounded to 1 dp? 0.2 Let y = -3793237 - -1893237. Round y to the nearest 1000000. -2000000 Let d = 2650974.829921 - 2650973. Let i = -1.83 + d. What is i rounded to five dps? -0.00008 Let b = 318.2 - 231. What is b rounded to the nearest ten? 90 Let k = 1030511756 + -1031594501.00034. Let i = k + 1082736. Let x = -9 - i. Round x to four decimal places. 0.0003 Let r = 0.89 + -0.8843. Round r to 3 dps. 0.006 Let i = 0.0312 - 0.03. Let a = 0 + i. What is a rounded to 3 dps? 0.001 Let r(v) = v**2 - 7*v - 6. Let w be r(8). Suppose u = 4, -2*q = w*q - 4*u + 2960016. What is q rounded to the nearest one hundred thousand? -700000 Let l = 18 + -24.6. Let c = l + 8. Let z = -0.7 - c. What is z rounded to 0 dps? -2 Let f = 747 + -1617. What is f rounded to the nearest one hundred? -900 Let t = 13387230861508.000054 - 13387206663539. Let b = t + -24197949. Let g = b + -20. Round g to 5 decimal places. 0.00005 Let l be (2 + -2 - 0)/(-2). Suppose l*k + k = -627931. Let f = k - -97931. What is f rounded to the nearest 100000? -500000 Let s = -20.99974 - -21. Round s to 4 decimal places. 0.0003 Let b = 4.4 - 10. What is b rounded to the nearest integer? -6 Let o = 0.08 - 4.08. Let k = -3.9945 - o. Round k to 3 dps. 0.006 Let m(t) = -t - 3. Let d be m(-5). Suppose 2*g - 1 = -d*u + 11, -u + 15 = 4*g. Suppose -5*o = -3*o + 5*n - 89, -5*n - 171 = -g*o. Round o to the nearest 10. 50 Let d be 5496*-1 + -6 + 2. Round d to the nearest 1000. -6000 Let d = 0.298 + -0.24. Round d to 2 dps. 0.06 Let j be (-2)/6 - (-1828622)/6. Let a = j - -55230. What is a rounded to the nearest 100000? 400000 Suppose 4*u - 9 - 11 = 0. Suppose -u*v - 2*n - 496 = 0, -2*n + 504 = -4*v - v. Round v to the nearest one hundred. -100 Let m(d) = -83*d**3 + 11*d**2 + 13*d + 9. Let t be m(10). Let l = 134761 + t. Round l to the nearest ten thousand. 50000 Let w = 9.5 + -6. Round w to the nearest integer. 4 Let o = -48 - -45.96. Let a = -2 + 4. Let p = o + a. What is p rounded to 2 decimal places? -0.04 Let p(i) = i**2 - 5*i - 3. Let j be p(5). Let f be ((-8)/j)/((-5)/750). Let l = f + 230. What is l rounded to the nearest 100? -200 Let x = -7 - -12. Suppose 90 = -x*r + 310. Let j = -100 + r. What is j rounded to the nearest 10? -60 Let d be (1996 + 4)*(-452)/8. Round d to the nearest ten thousand. -110000 Let c(b) = 14999*b - 3. Let n be c(-3). What is n rounded to the nearest ten thousand? -50000 Let i = 194136 - 95617. Let f = i + -216519. What is f rounded to the nearest 10000? -120000 Let a be (7 - (-3)/(-1))*-1. Let x be a/((-24)/(-591))*2. Round x to the nearest ten. -200 Let d = 8225.59 + -8271. Let j = 45 + d. Let h = -0.409961 - j. Round h to five dps. 0.00004 Let j(x) = -5*x + 3500000. Let z be j(0). What is z rounded to the nearest 1000000? 4000000 Let o = 0.430044 + -0.43. What is o rounded to 5 dps? 0.00004 Let t = 7.4000085 - 7.4. Round t to 6 dps. 0.000009 Let m be 6 + -3*6/9. Suppose -1800000 = i + m*i. Round i to the nearest 100000. -400000 Let p(r) = r**3 - 16*r**2 + 31*r - 7. Let b be p(13). Round b to the nearest 10. -110 Let c = -4.1245945 - -2.7245942. Let w = -1.4 - c. Round w to 6 dps. 0 Let d = -952121 + 472121. Round d to the nearest 100000. -500000 Let w = -4 - -1. Let q = -3 - w. Let n = q - -0.07. What is n rounded to 1 decimal place? 0.1 Let x = -485 - 265. Round x to the nearest 100. -800 Let x = -131 - -130.999999. Round x to five dps. 0 Let f = 14 - 14.00000018. Round f to 7 decimal places. -0.0000002 Let t = -40 + 39.905. Round t to 2 dps. -0.1 Suppose -d + 0*d + 27995 = 0. Suppose -m = -2*r - 2*m - d, 0 = r + m + 13995. Round r to the nearest 10000. -10000 Let k = 0.019 + 0.115. What is k rounded to two dps? 0.13 Let x be (-38)/(-14) + (-4)/(-14). Suppose 0 = -v + x, p - 3*v - 189 + 48 = 0. Round p to the nearest 100. 200 Let k = -221.46574 + 2.55874. Let l = 219 + k. What is l rounded to two dps? 0.09 Let z = 7 - 6.9985. Round z to three dps. 0.002 Let s = 1.6 - 2.25. Round s to 1 decimal place. -0.7 Let y = 5214.081 + -9.081. Let v = 5256.62 - y. Let o = v + -51. What is o rounded to one dp? 0.6 Let y(h) = 1213*h + 9. Let k be y(7). Round k to the nearest 1000. 9000 Let h = -56.2 + 66. Let p = 1.8 - h. Let t = -8.00006 - p. Round t to 4 dps. -0.0001 Let o = 23.57 + -22. Let l = o - 0.07. Let k = l - 1.50036. Round k to four decimal places. -0.0004 Let o = 12.3 - 12.87. Let n = o + -0.04. Round n to 1 decimal place. -0.6 Suppose -p = i - 210001, -463641 = -2*p + 5*i - 43646. Suppose -7*k = -8*k + p. What is k rounded to the nearest one hundred thousand? 200000 Let z = 0.969852 - 0.97. What is z rounded to 5 decimal places? -0.00015 Let b = 0.08 - 6.08. Let x = b - -6.032. What is x rounded to 2 dps? 0.03 Let d(k) = 4*k - 3. Let x be d(2). Suppose i + 720000 = x*i. Round i to the nearest one hundred thousand. 200000 Let d = -9 - 2. Let o(q) = -412*q**2 + 12*q - 16. Let g be o(d). Round g to the nearest one hundred thousand. -100000 Suppose a = -0*a - 3034. Let n = a - -1514. What is n rounded to the nearest 100? -1500 Let c = -9387.23 - -9340. Let x = c + 48. Round x to 1 decimal place. 0.8 Let b be (25 + 0)*-100*(-2652)/13. Round b to the nearest 100000. 500000 Let a = -58.401 + 59. Round a to two decimal places. 0.6 Let q = 6 - 6.42. What is q rounded to one dp? -0.4 Let p(y) = -1227*y - 5. Let t be ((-1 - -2) + -8)/(-1). Let m be p(t). Let d = m + 4194. What is d rounded to the nearest 1000? -4000 Suppose 0 = -w + 5*a + 3379985, 0 = 3*a - 4*a + 3. Round w to the nearest 100000. 3400000 Let u be -1 - 6/(-10) - (-299996)/(-10). What is u rounded to the nearest 100000? 0 Let m = -38.19823 + 38.2. Round m to four decimal places. 0.0018 Let y = 5 - 1. Suppose s - 6*s - 2*c + 3994 = 0, -y*c = 5*s - 3988. Suppose -s = -m + 5*m. What is m rounded to the nearest 1000? 0 Suppose -48890 = -3*n - 5*f, f = -2*n - 2*f + 32594. What is n rounded to the nearest one thousand? 16000 Let b = 99 + -98.99882. What is b rounded to 4 dps? 0.0012 Let v = 90692 - 53692. Round v to the nearest 10000. 40000 Let v = 223279.7 - 223278.7000002. Let o = v - 1. Round o to 6 dps. 0 Le
{ "pile_set_name": "DM Mathematics" }
8234 = j. What is the tens digit of x? 5 Let y(x) = x**3 - 9*x**2 + 12*x - 20. Let w be y(8). Let a be 3/(13/w + (-7)/21). Suppose 0 = -3*v - 0*v + 5*p + 568, a = 4*p. What is the tens digit of v? 9 Let i(h) = -h**3 - 15*h**2 - 21 + 17*h - 7*h**2 + 9*h**2. Let n be i(-14). What is the tens digit of (n/12 - -4)*-28? 3 Suppose -36*o = -1480 - 83552. Let z = -1184 + o. What is the units digit of z? 8 What is the tens digit of ((-239226)/(-18))/(17*(-3)/(-153))? 7 Let h = 2483 + -1869. What is the tens digit of h? 1 Let y(r) = 2*r**3 - 3*r**2 - 8*r + 51. Let s be (-1)/(-7 + (-192)/(-28)). What is the units digit of y(s)? 4 Suppose -x = 40*x - 158629. What is the thousands digit of x? 3 Let b(h) = h**3 + 44*h**2 - 53*h - 29. Let a = -356 + 311. What is the hundreds digit of b(a)? 3 Let g(o) = -4*o**3 + 3*o**2 + 20*o + 11. What is the units digit of g(-12)? 5 Suppose -833930 + 4605387 = 59*f. What is the tens digit of f? 2 Let d = -450 + 153. What is the tens digit of (-4)/18 - 11/(d/3624)? 3 Suppose -20118 = -3*y + 2*j, -3*j + 26841 = 4*y - 0*y. What is the thousands digit of y? 6 Let m = 96 - 31. Suppose 5*o + 20 = m. Suppose o*s = 222 + 1830. What is the units digit of s? 8 Let n be 38/10 + (-1)/(-5) + 1814. Suppose -32*g + n = -29*g. Suppose g + 490 = 4*l. What is the hundreds digit of l? 2 Let z = 266 + -262. What is the tens digit of 10120/(-11)*-1 + (z - 0)? 2 Suppose -j - 4*x = -4326, -2877 = -j + 5*x + 1485. What is the thousands digit of j? 4 Let q = -89 - -8013. Suppose 3*z - 17*z = -q. What is the hundreds digit of z? 5 Let k(u) = u**3 - 6*u**2 - 22 + 7 + 136*u - 133*u. Let j be k(6). Let h(v) = 8*v**3 - 2*v**2 - 6*v. What is the units digit of h(j)? 0 Let i = 19815 - 5123. What is the units digit of i? 2 Let l(p) = -p**3 - 7*p**2 - 10*p - 8. Let h be l(-9). Let z = 326 - h. What is the tens digit of z? 8 Suppose 58*i + 260623 = 708847. What is the thousands digit of i? 7 Suppose 3*g - 85 = 5*k, 4*k - 3*g = -8*g - 68. Let l be 9/(-21) - k/7. Suppose -30 - 40 = -l*j. What is the units digit of j? 5 Let c(q) = q + 0 + 127*q**2 + 4 + 0 - 3. What is the hundreds digit of c(1)? 1 Suppose 4*u + 12 = 8*u. Let b be (-12)/(-7) - 8/(-28). Suppose l = -b*x - 3, -u*l = -2*l + 4*x + 7. What is the units digit of l? 1 Suppose 2*c - 3190 = -5*m, 0 = -c + 2*m + 1953 - 358. What is the thousands digit of c? 1 Suppose -10651 - 2373 = -c - 325. What is the units digit of c? 9 Let u(i) be the second derivative of -59/3*i**3 - 5*i**2 + 0 - 11*i. What is the tens digit of u(-2)? 2 Let j be 84/(-36) + (0 + 1)/3. What is the units digit of (j*18/(-16))/(2/304)? 2 Let k be (-107)/7 - 34/(-119). What is the units digit of (-11)/55 + (-3)/k*276? 5 Suppose -2*g + 5*m = -10996, -27439 = -38*g + 33*g + 4*m. What is the tens digit of g? 8 Suppose 0 = 5*q - 5*s - 70, 4*q + 2*s - s = 36. Suppose -2968 = -q*u + 3132. What is the tens digit of u? 1 Suppose 134044 - 447840 = -145*x + 2022589. What is the hundreds digit of x? 1 Let g(l) = -529*l + 1030. What is the units digit of g(-9)? 1 Suppose -8*l + 117752 = 4*o, 5*o + 73634 = 5*l + o. What is the hundreds digit of l? 7 Let r(p) = -p**3 - 3*p**2 - 5*p - 4. Let w be (-16)/9 - 4/18. Let c be r(w). Suppose -c*m + 47 = -0*m + x, 4*x + 137 = 5*m. What is the units digit of m? 5 Let m be 1*(18 + 1) + (-20 - -22). Suppose 5*w = -m + 141. What is the hundreds digit of 16/w + 1064/6? 1 Let w(f) = -f**2 + 11*f + 39. Let o be w(12). Suppose -2*d + o*s + 134 = 23*s, 5*d + 5*s = 335. What is the units digit of d? 7 Suppose -96 = -3*z - 5*r, 2*z - 2*r = 41 + 39. Let s = 35 - z. What is the tens digit of (-103)/s + (-51)/(-34)? 5 Let v = 78424 - 45647. What is the ten thousands digit of v? 3 Let l = -15413 - -26691. What is the units digit of l? 8 What is the thousands digit of 3/13 - 1695780/(-585)? 2 Let t be (1 + -2)*(-5 + 0). Suppose 5*a = 6*w - 30, -127 = -4*a - 151. Suppose w*b - 170 = -t*b. What is the tens digit of b? 3 Suppose 3*u - 12886 = -m - 4*u, -5*u = -4*m + 51676. What is the units digit of m? 4 Suppose 11*d + 505 = 6*d. Let l = -99 - d. Suppose -93 = -f + 2*v + 2*v, -l*v = -3*f + 269. What is the units digit of f? 9 Suppose -4*v - 17 = 3*j, -13 = 2*j + 5*v + 10. What is the units digit of j + (10 - 4) - -1? 8 Suppose 0 = -3*m - 3*u + 4760 + 4465, m - 3081 = -4*u. Let p = m + -1314. What is the tens digit of p? 5 What is the hundreds digit of 4145 - ((-3)/((-9)/1))/(34/(-204))? 1 Suppose 2*h = 4*v - 36528, 13468 + 13938 = 3*v - 4*h. What is the hundreds digit of v? 1 Suppose 5*f - 56 - 184 = 0. Suppose 16*x = 17*x - f. Let u = 114 - x. What is the units digit of u? 6 Let f(d) = -10*d**2 + 4*d + 83. Let p be f(-7). What is the hundreds digit of (51/(-17))/(3/p)? 4 Suppose 0 = 142*i - 16*i + 55*i - 5374252. What is the thousands digit of i? 9 Suppose -10*l = -2*l + 2056. Let g = 1029 + l. What is the tens digit of g? 7 What is the hundreds digit of 155/(-124) - 1061140/(-16)? 3 Let b be (-72)/108*7/((-7)/120). Let q = -73 + b. What is the units digit of q? 7 Let h(b) = -b**2 + 15*b - 5. Let c be h(12). Let n(r) = r**2 - 17*r - 19. What is the tens digit of n(c)? 1 Suppose 2*q = u - 3*u + 6008, -9007 = -3*q + 2*u. What is the hundreds digit of q? 0 What is the units digit of (-3*(-7)/(-14))/(9/(-2400))? 0 Let r(d) be the third derivative of d**5/60 - d**4/24 - d**3 - 34*d**2. Let b be r(-3). Suppose 10*g - b = 7*g. What is the units digit of g? 2 What is the units digit of 3/(-81)*-3 - (-17 - (-1394090)/(-90))? 7 Suppose -13120 + 55038 = 14*g - 60142. What is the hundreds digit of g? 2 Let y = 30 + -18. Let r be (1 + -1)/(4/(y/3)). Suppose r*a + 2*a - 5*g - 279 = 0, a - 135 = g. What is the hundreds digit of a? 1 Let k(j) = -7*j + 20 + j - 6 + 11 + 9*j**2. Let q be k(-7). Suppose 9*u - 5*u = q. What is the tens digit of u? 2 Let w(v) = 199*v + 51. Let i be w(4). Suppose 23*x = 34*x - i. What is the units digit of x? 7 Suppose -d + 11 = 6. Suppose 2*c - 2395 = -d*z, -3*c + 5978 = 2*c + 3*z. Suppose q = 6*q - c. What is the tens digit of q? 3 Suppose 9*p - 77987 = 147524 - 24181. What is the hundreds digit of p? 3 Let s be 1*(5 + -4 + 3 + -1). Suppose 418 = -f - h, -f + s*h - 401 + 3 = 0. Let l = f + 690. What is the tens digit of l? 7 Suppose -5*m + 9346 = -15974. What is the units digit of m? 4 Let z(m) = -675*m - 401. What is the tens digit of z(-24)? 9 Let b = -76 - -80. Suppose b*z = -5*c + 4*c + 287, -607 = -2*c + 3*z. What is the units digit of c? 9 Suppose -4*b = 4*p - 14164, 0*p - 7076 = -2*b - 4*p. Let m be b/68 + 2/(-17). Suppose 15*k + m = 487. What is the tens digit of k? 2 Suppose y - 3*l + 6 = 0, 3*y + 5*l - 10 = -0*l. Suppose 84 = n - y*n. Suppose 18 = -u + n. What is the units digit of u? 6 Suppose 0*z - 5 = 3*r - 2*z, 3*r + 5*z - 23 = 0. What is the tens digit of -1*(r/3)/((-13)/14313)? 6 Let r be (-14)/8 + 2 + (-629)/148. What is the units digit of (166*(-1)/r)/(5/10)? 3 Suppose 3*h - 1 - 5 = -3*z, -5*z - 60 = -5*h. Let g = h + 145. What is the tens digit of g? 5 Let u be (-55)/15 - 4/(-6). Let y be 84/(-147)*(21/2)/u. Suppose 172 + 198 = y*r. What is the units digit of r? 5 Let l = 13366 - 3669. What is the thousands digit of l? 9 Suppose 0 = 201*n - 138673 - 1893327 + 342193. What is the hundreds digit of n? 4 Suppose 10*g = -g - 2695. Let v = 443 + g. Let n = v + -96. What is the tens digit of n? 0 Let a(x) = 198*x**3 + 3*x**2 + 5*x - 21. What is the thousands digit of a(2)? 1 Let t = -49 - -51. Suppose -t*d = -3*d + 4. Suppose 0 = i + 5*r - 93, 0*r + 334 = d*i + r. What is the tens digit of i? 8 Suppose 15*r - 469314 = -2*t, -9*t = -4*r - 14*t + 125137. What is the units digit of r? 8 Let j = -5687 - -8509. What is the hundreds digit of j? 8 Suppose 0 = 50*p - 16*p + 22*p - 1361136. What is the units digit of p? 6 Let b = -2732 - -5487. Suppose 5*z = -5*u + b, -70*z + 69*z - 5*u + 551 = 0. What is the tens digit of z? 5 Let o(s) = 54*s - 50. Let m be o(-3). Let f = m + 1246. What is the thousands digit of f? 1 Suppose 3*u + 15*h = 19*h + 1477, 3*u = 3*h + 1473. Suppose 0 = -2*b + 10, 6*b - 9*b - u = -2*l. What is the units digit of l? 1 Let i = -10107 - -11256. What is the hundreds digit of i? 1 Suppose 0 = 2*u + 4*x - 6, -2*u + 3 = x - 6. Suppose u*f + 5*k - 1130 = 0, 6*f = 4*f - k + 450. What i
{ "pile_set_name": "DM Mathematics" }
nits digit of (70/(-20))/(w/78)? 3 Let y be (-12 + 4)*(-2 - -1). Let i be (-2 - (-2 - y/(-4))) + 5. Suppose -i*l = 101 - 386. What is the tens digit of l? 9 Suppose 15125 = -2*r + 5*k + 93689, 0 = -k - 8. What is the thousands digit of r? 9 Let k = -860 + 28658. What is the hundreds digit of k? 7 Suppose 6*c + 17714 = 2*o, 26607 = -47*o + 50*o + 3*c. What is the hundreds digit of o? 8 Suppose 19*c + 5*m + 86651 = 23*c, 25 = 5*m. What is the ten thousands digit of c? 2 Let k be (-241*(-2 + 0))/4*12. Suppose -100*a + 106*a - k = 0. What is the hundreds digit of a? 2 Let c(t) = -7*t. Let i(l) = 342*l + 51. Let g(s) = 6*c(s) + i(s). What is the units digit of g(6)? 1 Suppose 4*j - 4642 - 10278 = 0. What is the hundreds digit of j? 7 Let a = -1575 - -1064. Let b = a + 1988. What is the hundreds digit of b? 4 What is the units digit of 57/21 - (-14)/49 - (-28734)/3? 1 Let m be -3 + 232/(-60) + (-4)/30. Let k be 2/m - (345/21)/(-5). Suppose -3*r + 108 = p + 4, -2*p + 103 = k*r. What is the tens digit of r? 3 Let a = 21376 - -11572. What is the hundreds digit of a? 9 Suppose -3*w + 8558 = 2*i, 367*w + 2*i + 14290 = 372*w. What is the tens digit of w? 5 Suppose -4*i - 6 = c, -11*i = -6*i + 15. Let d be (10/c)/((-5)/(-126)). Let p = 127 - d. What is the units digit of p? 5 Let k(a) = -2*a**3 - 46*a**2 - 60*a - 39. What is the tens digit of k(-38)? 6 Let i(d) = -13*d**2 - 21*d - 134. Let q be i(-6). Let z = 784 - q. What is the units digit of z? 0 Suppose 0 = -31*p + 11*p - 13300. What is the units digit of (19/(p/240))/((-2)/14)? 8 Suppose -2*j + 5*j + 1005 = t, -678 = 2*j + 2*t. What is the hundreds digit of (35/(-2))/(-4*(-6)/j)? 2 Let o(i) = -20 - i**2 + 14 - 7*i + 5*i**2. Let x be (-2)/(-2) - 0 - (9 + -4). What is the tens digit of o(x)? 8 Suppose -65*l = 253*l - 6112596. What is the ten thousands digit of l? 1 Let i = 1181 + 1230. What is the hundreds digit of i? 4 Let p(b) = -527*b + 9934. What is the hundreds digit of p(-62)? 6 Let u(t) = 479*t + 1220. What is the tens digit of u(8)? 5 Let b(t) = -124*t + 2362. Let u be b(19). Suppose -608 = z - 5*z. Suppose -z = -o - 0*o + 5*y, -u = -3*y. What is the units digit of o? 2 Let b be (-22)/(-6) + 16/(-24). Suppose 5*s + 3*j - 191 = 0, -103 = -b*s - 0*j + 4*j. Let y = 84 - s. What is the tens digit of y? 4 Let w(y) = -y**3 + 10*y**2 + 28*y - 40. Let l be w(12). Suppose 5*a - 330 = -5*f, 0*f + l = 4*f. What is the units digit of a? 4 Suppose p - 4*b - 6515 = 0, -p = -23*b + 27*b - 6563. What is the hundreds digit of p? 5 Suppose -7*t - 8575 = -3*c, 0 = -2*c - 7*t + 10*t + 5715. What is the hundreds digit of c? 8 Suppose 7*l + 166 = 5*l - 2*y, 3*y + 6 = 0. Let s = -81 - l. Suppose -28 = -3*r - 4*u, s = 3*r - 3*u - 17 - 4. What is the units digit of r? 8 Let m(d) = d**3 - 6*d**2 - 13*d. Let c be m(10). Suppose -c*v + 280 = -263*v. What is the tens digit of v? 4 Let g be ((-928)/20 + -3)*-5. Suppose -48 + g = q. Suppose 200 = 3*k + 4*j - 387, k + 2*j = q. What is the units digit of k? 9 Let k(b) = 11*b**2 + 15*b + 17. Let i = -309 + 306. What is the tens digit of k(i)? 7 Suppose 5*t = -5*u, 6 = 5*u - 19*t + 21*t. What is the units digit of ((-36)/(-20)*u)/(8/260)? 7 Suppose -3*m + 2*y + 185 = 0, -2*y = 3*m - 147 - 34. Let q(v) = -v**3 - 3*v**2 + 3*v + 1. Let f be q(-4). Suppose -399 - m = -f*c. What is the tens digit of c? 9 Let d(m) = 208*m**2 + 83*m - 114. What is the tens digit of d(11)? 6 Suppose 9*u = 5*u - 4. Let f = 5 + u. Suppose -f*w + 392 = 3*w. What is the units digit of w? 6 Suppose -2321 = -5*p - 4*g + 10, -g + 2319 = 5*p. Suppose -11*d + p = -10*d. What is the hundreds digit of d? 4 Suppose 4*n + 20 = 0, 4*k + 2*n - 5 - 1 = 0. Let s(c) = 40*c**2 - 11. What is the units digit of s(k)? 9 Let x(j) = -43*j + 62. Suppose l + 130 = -9*l. What is the units digit of x(l)? 1 Suppose -5*x - 3*c + 2845 = 0, -3*x + 3*c - 6*c + 1707 = 0. What is the tens digit of x? 6 Suppose 7*r - 28 = -0. Suppose 3*a = -5*g + 2759, 5*g + 1112 = 7*g + r*a. What is the hundreds digit of g? 5 Let k(x) = -x - 2. Let h be -5 + -5 + 11 - -2. Let m be k(h). What is the units digit of (-1)/(-4)*m*-136? 0 Let r(o) = -17 + 2*o + 5*o - 4*o - 15. What is the units digit of r(11)? 1 Let b = -156 - -334. Suppose -m = -2*m - z + 184, m - b = 2*z. What is the tens digit of m? 8 Let m(p) = 4*p**2 - 27*p - 9. Let s be m(14). Let l = -128 + s. What is the units digit of l? 9 What is the hundreds digit of (-7)/(91/118820)*3/(-4)? 8 Suppose -253*z = 104109 - 455133 - 173445. What is the units digit of z? 3 Let c(v) = 3115*v**2 - 3*v - 11. What is the hundreds digit of c(-2)? 4 Let a(v) = 9321*v + 773. What is the units digit of a(1)? 4 Suppose 28 = -2*k + 4*s, 43 = -2*k - 0*k - s. What is the tens digit of (2512/k)/(2/(-5))? 1 Suppose -6*a = -4*a + 48*a - 436750. What is the hundreds digit of a? 7 Suppose -28*i + 163296 = 15*i - i. What is the thousands digit of i? 3 Suppose 0 = 4*g + 3*t - 8, -5*g - 2*t = t - 10. Suppose -j - 5 = k, 0 = -2*k + 5*j + 13 - g. What is the tens digit of k + 3/(15/965)? 9 Let p be (-34)/51*3411/(-6). Let q = p - 275. What is the hundreds digit of q? 1 Let b(h) = 6350*h**3 + h**2 + 8*h - 10. What is the hundreds digit of b(1)? 3 Let l(b) be the third derivative of -b**4/8 + 5*b**3/6 - b**2. Let f(u) = -u**3 - 6*u**2 + 5*u + 12. Let r be f(-2). What is the units digit of l(r)? 7 Let z = -51506 + 73059. What is the units digit of z? 3 Let d = 14387 - 6529. What is the tens digit of d? 5 Let l(h) = -h**3 - 8*h**2 - 8*h + 6. Let u be l(-5). Let c = 20 - u. Suppose m + c = -2*p + 314, -p = -4*m - 137. What is the tens digit of p? 3 Suppose -2*y = -160 + 22. Let i = y + 36. Suppose 0 = u + i - 267. What is the hundreds digit of u? 1 Let y be ((-12)/14)/(36/(-336)). Let v(x) = 6*x**2 - 17*x + 44. What is the units digit of v(y)? 2 Let y = 72 - 57. Suppose 4*q = -i - i - 6, -5*q - y = 0. Suppose 370 = i*w - 11. What is the tens digit of w? 2 Suppose -18 = -5*y + 2. Suppose 0 = -s + y + 1. Suppose -80 = -s*r - 5*n, 4*r - 50 = r - n. What is the units digit of r? 7 Let c = -8 + 19. Suppose 9*f - c*f = -3222. Suppose 9*q = 360 + f. What is the tens digit of q? 1 Let b(v) = 182*v + 445. What is the tens digit of b(0)? 4 Suppose -191*h + 177*h + 556892 = 0. What is the units digit of h? 8 Let i(y) = -y**2 + 21*y + 2. Let a be i(11). Let p be (a/(-3))/(10/(-165)). Suppose 4*h + 338 = 4*d - 158, 5*d = h + p. What is the tens digit of d? 2 Suppose -127625 - 360748 = -66*k + 1133445. What is the tens digit of k? 7 Suppose -3*j = -3*s - 42612, -7*j - 2*s - 42616 = -10*j. What is the tens digit of j? 0 Let l(h) = 196*h + 945. What is the units digit of l(7)? 7 Suppose 353724 = 25*l + 91824. What is the ten thousands digit of l? 1 Let n be 70/6 - -2*(-1)/(-6). Suppose 4*u = -3*a + u + 15, 2*a + 4*u = n. Let c(o) = -o**3 + 5*o**2 + 2*o + 2. What is the units digit of c(a)? 6 Let k be (-1)/(0 - (-1)/(-5)). Let l be (-1)/((-3)/(-3)) + 20/k. What is the tens digit of ((-10384)/66)/(l/((-18)/4))? 3 Suppose 0 = -2*q - 680 + 2838. What is the hundreds digit of q? 0 Let o = -328 + 330. What is the hundreds digit of ((1533 - 2) + -5)/o? 7 What is the ten thousands digit of (6/(-9) + (-1191)/(-45))*2785? 7 Suppose -3*u = u - 552. Suppose 2*c = 5*c - u. Let t = c + -42. What is the units digit of t? 4 What is the ten thousands digit of (14*22/231)/((-3)/(-90603))? 4 Let n = -11350 + 21376. What is the hundreds digit of n? 0 Suppose 0*l - l = -114. Let p(m) = -64*m - 724. Let h be p(-10). Let g = l + h. What is the tens digit of g? 3 Suppose -7*f + 56*f = -48*f + 1648224. What is the units digit of f? 2 Suppose -140*i + 139*i - 3*x + 21776 = 0, 5*x + 108980 = 5*i. What is the thousands digit of i? 1 Let k = 34 + -37. Let o be ((-162)/10)/k + 8/(-20). Suppose o*u = -3*c - 0*u + 473, -4*c = -3*u - 592. What is the tens digit of c? 5 Suppose m = -4*r - 4, -8 - 4 = r + 3*m. Suppose -2*g = 4*i, -5*g + r = 2*i + 16. What is the units digit of (-48 + i)/((-150)/35 + 4)? 1 Suppose -2*m = 0, 2*w - 2*m - 10420 = -346. What is the hundreds digit of w? 0 Suppose 2500 = -352*c + 351*c. What is the hundreds digit of ((-1)/((-2)/c))/((-44)/22)? 6 Suppose 20 = 3*q + 5. Suppose -684 = -2*g - 4*n, q*n = -2*g - 0*g + 683. Let p = g - 150. What is the tens
{ "pile_set_name": "DM Mathematics" }
5*f + 10*l - 8*l = -21. Let b(t) = -10*t**2 - 465*t - 5290. Let p(r) = -5*r**2 - 233*r - 2645. Let w(q) = f*b(q) + 5*p(q). Factor w(y). 5*(y + 23)**2 Determine w, given that -25/4*w**2 + 70*w - 5/4*w**3 + 75 = 0. -10, -1, 6 Let s(n) be the second derivative of -n**5/60 - 7*n**4/36 + 23*n**3/6 - 39*n**2/2 - 2221*n. What is h in s(h) = 0? -13, 3 Suppose 3*g - 265*o + 267*o = -18, -g - 58 = 5*o. Solve 8*y + 8/5*y**4 - 28/5*y**g - 2/5*y**5 - 16/5 - 2/5*y**3 = 0 for y. -2, 1, 2 Let p(r) be the second derivative of r**5/15 - 20*r**4/3 + 122*r**3 - 980*r**2/3 + 5*r + 36. Find g, given that p(g) = 0. 1, 10, 49 Let q be (4 + -1)/(1/(-1)). Let b be 5/q*-3 - 3/1. Factor -2*x**b + 0*x**2 + 11*x - 8*x - x**2. -3*x*(x - 1) Let b(p) be the first derivative of -p**7/2100 + p**5/300 + 130*p**3/3 + 127. Let g(d) be the third derivative of b(d). Find c such that g(c) = 0. -1, 0, 1 Let a(o) be the second derivative of 1/5*o**5 - 1458*o**2 + 9*o + 162*o**3 + 4 - 9*o**4. Determine x so that a(x) = 0. 9 Let m = 621 + -601. Factor -58*l + 24 + m - 2*l**2 - 44. -2*l*(l + 29) Let x(f) be the first derivative of f**4/96 - 17*f**3/24 + 33*f**2/16 + 252*f - 171. Let j(o) be the first derivative of x(o). Factor j(h). (h - 33)*(h - 1)/8 Let t(l) be the second derivative of l**9/11340 - l**8/840 + l**7/210 - l**4/6 + 3*l - 22. Let z(o) be the third derivative of t(o). Factor z(h). 4*h**2*(h - 3)**2/3 Let p(y) be the third derivative of 0*y - 4/3*y**3 - 1 + y**2 + 0*y**4 + 1/30*y**5. Factor p(b). 2*(b - 2)*(b + 2) Factor 29/5*l**3 + 42/5*l**2 + 0*l + 1/5*l**5 - 12/5*l**4 + 0. l**2*(l - 7)*(l - 6)*(l + 1)/5 Let i(v) = -6*v + 39. Let m be i(5). Suppose m*k - 25 = 11. Determine r so that 0*r**2 + 3/2*r**k + 0*r**3 + 0*r + 0 = 0. 0 Let k(d) be the second derivative of -d**7/84 + 34*d**6/5 + d**5/20 - 34*d**4 - d**3/12 + 102*d**2 - 5775*d. Determine w so that k(w) = 0. -1, 1, 408 Let h(v) be the third derivative of -v**8/420 - 97*v**7/525 - 1199*v**6/300 - 88*v**5/25 + 48*v**4/5 + 1035*v**2. Solve h(d) = 0 for d. -24, -1, 0, 1/2 Let y(v) = 136*v**2 + 12*v + 1. Let k be y(1). Suppose 64*h = k*h - 170. Solve 1/2*r**h - 4 + 7/2*r = 0. -8, 1 Let l(i) = 4*i**4 + 64*i**3 - 225*i**2 + 236*i - 79. Let c be 5/10*(2 - (2 + 2)). Let j(w) = -w**4 - w**3 + w + 1. Let o(d) = c*l(d) + j(d). Factor o(y). -5*(y - 1)**3*(y + 16) Suppose 460*m + 166*m - 147*m = -273*m. Let 14/5*y**3 + 2*y + m + 22/5*y**2 + 2/5*y**4 = 0. What is y? -5, -1, 0 Let p = -61 + 61. Suppose 2*g = -p*g - 6, 0 = -4*b - 3*g + 7. Factor 10 + 2*x**2 + b*x - 7 - 2*x - 3*x**2. -(x - 3)*(x + 1) Let y(f) be the first derivative of f**6/120 + f**5/5 - 9*f**4/8 + 5*f**3/3 - 4*f - 107. Let p(s) be the third derivative of y(s). Determine b so that p(b) = 0. -9, 1 Let g be (24327/119)/9 + -21. Factor -32/7*v - 12/7*v**2 + g. -4*(v + 3)*(3*v - 1)/7 Let j(p) be the second derivative of -29*p**5/90 + 1016*p**4/27 - 140*p**3/27 - 5*p - 122. Solve j(s) = 0. 0, 2/29, 70 Let r(q) = -6*q**3 - 38*q**2 + 288*q - 652. Let t(p) = -2*p**3 + p**2 - 3. Let d(u) = 2*r(u) - 8*t(u). Factor d(o). 4*(o - 8)**2*(o - 5) Let a(x) be the first derivative of -x**4/30 - x**3/5 + 4*x**2/5 + 48*x - 57. Let g(m) be the first derivative of a(m). Factor g(i). -2*(i - 1)*(i + 4)/5 Factor 0 + 12*l**3 + 2*l**4 - 2/3*l**5 + 0*l**2 + 0*l. -2*l**3*(l - 6)*(l + 3)/3 Let p(k) = k**4 - 2*k**3 - k**2 - 3*k + 1. Let l(n) = -32*n**4 + 84*n**3 + 372*n**2 + 556*n + 108. Let g(u) = -l(u) - 20*p(u). Factor g(z). 4*(z - 8)*(z + 2)**2*(3*z + 1) Factor -1202/3*v**2 + 1/3*v**4 + 236/3*v**3 + 723 + 244*v. (v - 3)**2*(v + 1)*(v + 241)/3 Factor -2*v**3 + 0*v + 0 - 3*v**2 - 1/4*v**4. -v**2*(v + 2)*(v + 6)/4 Suppose 26*n - 13 = 39. Factor 72*u - 4*u**4 - 40*u**3 + 133*u**n - 67*u**2 - 94*u**2. -4*u*(u - 1)*(u + 2)*(u + 9) Let y be 21*(-3)/(-9) - 2. Suppose -k = -y*k + 24. Factor k*i**2 + 3 - 4 - 2*i + 3 - 6*i. 2*(i - 1)*(3*i - 1) Let h(i) be the first derivative of 140*i**3/3 - 156*i**2 + 64*i + 235. Factor h(j). 4*(j - 2)*(35*j - 8) Suppose 136*f = 141*f + l - 17, 2*l = -2*f + 18. Factor 1/6*j**f - 5/6*j + 1/6*j**3 + 1/2. (j - 1)**2*(j + 3)/6 Let u(r) = 7*r**5 - 8*r**4 + 59*r**3 + 36*r**2 - 5*r + 5. Let f(p) = 2*p**5 - p**4 + 7*p**3 - p + 1. Let q(k) = -5*f(k) + u(k). Solve q(b) = 0 for b. -2, 0, 3 Let k(a) be the first derivative of -a**4 + 320*a**3/3 + 2165. Determine l so that k(l) = 0. 0, 80 Let g(d) be the third derivative of d**7/1890 - 11*d**6/90 + 73*d**5/10 + 253*d**4/2 + 1587*d**3/2 + 873*d**2 - 1. Determine o so that g(o) = 0. -3, 69 Let f = -54 + 64. Suppose 0 = 9*g - 4*g - f. Factor -2*c**4 + 8*c**3 - 3*c**2 - 3*c**g + 2*c**2 - 8*c + 6. -2*(c - 3)*(c - 1)**2*(c + 1) Suppose 1 = 3*o - z, -36*o - 4*z + 18 = -37*o. Let f(m) be the first derivative of 0*m + 0*m**o - 5 - m**4 - 8/3*m**3. Factor f(w). -4*w**2*(w + 2) Factor -5*l**5 + 332*l + 190*l**4 - 1985*l**3 + 1742*l**2 + 1678*l**2 - 1952*l. -5*l*(l - 18)**2*(l - 1)**2 Suppose 3*i = -4*p + 126, -113 = -3*p - 5*i - 13. Suppose p + 946*c - 5*c**3 - 1940*c + 929*c + 40*c**2 = 0. Calculate c. 1, 6 Let y be ((-750)/40)/(((-57)/(-26724))/(-1)). Let b = y + -8787. Suppose -b - 26/19*x**2 - 2/19*x**3 - 96/19*x = 0. What is x? -6, -1 Let c(t) be the second derivative of 35*t**4/6 - 15*t**3/2 + 594*t + 1. Suppose c(z) = 0. Calculate z. 0, 9/14 Let n(t) = 6*t - 3. Let h(m) = 18*m - 14. Let q(a) = -4*h(a) + 14*n(a). Let x be q(-1). What is v in 5/3*v + x - 1/3*v**2 = 0? -1, 6 Let l(h) be the second derivative of -25*h**7/21 - 23*h**6 - 567*h**5/5 - 45*h**4 + 621*h**3 - 729*h**2 + 6*h + 155. Find n such that l(n) = 0. -9, -3, 3/5 Let i(s) be the first derivative of 3*s**5/10 + 39*s**4/8 + 24*s**3 + 27*s**2 - 4524. Find a, given that i(a) = 0. -6, -1, 0 Let r(t) be the first derivative of 5*t**8/336 + t**7/14 + t**6/8 + t**5/12 - 71*t**2 + 12. Let f(j) be the second derivative of r(j). What is a in f(a) = 0? -1, 0 Let x(m) be the third derivative of m**5/120 - 9*m**4/2 + 972*m**3 + 53*m**2 - 11*m. Factor x(s). (s - 108)**2/2 Let u(g) be the second derivative of -5*g**7/21 - 29*g**6/6 + 15*g**5/4 - 5117*g. Solve u(r) = 0 for r. -15, 0, 1/2 Let h be (8 + 30/(-4))*0. Let k(m) be the first derivative of 2/25*m**5 + h*m - 4/5*m**2 - 8/15*m**3 - 1 + 1/10*m**4. Factor k(n). 2*n*(n - 2)*(n + 1)*(n + 2)/5 Let x = 412100/7 - 58870. Factor -x*z - 8/7*z**3 - 32/7*z**2 + 50/7. -2*(z - 1)*(2*z + 5)**2/7 Determine h, given that -292/11*h - 170/11*h**2 - 16/11*h**3 - 138/11 = 0. -69/8, -1 Let s(m) = 28*m - 253. Let h be s(9). Let y(r) = -26*r - 23. Let x be y(h). Factor 3/4*a**x + 0*a**2 - 9/4*a - 3/2. 3*(a - 2)*(a + 1)**2/4 Let t = -5251 - -5253. What is m in 0*m**t - 5/2*m**3 + 5/2*m - 5/4*m**4 + 5/4 = 0? -1, 1 Let c(f) be the third derivative of -5*f**3 + 1/12*f**5 + 0 + 2*f - 5/24*f**4 - 56*f**2. Factor c(t). 5*(t - 3)*(t + 2) Let o = 206 - 176. Factor -o*h + 67*h + 5*h**3 - 7*h + 25*h**2. 5*h*(h + 2)*(h + 3) Let w(g) be the third derivative of -8*g**6/15 + 232*g**5/15 - 1121*g**4/6 + 3610*g**3/3 + 2378*g**2. Factor w(v). -4*(v - 5)*(4*v - 19)**2 Let o(d) be the first derivative of -d**3/8 + 3*d**2 + 51*d/8 - 1518. Factor o(s). -3*(s - 17)*(s + 1)/8 Let a(s) be the third derivative of 0 + 2/3*s**4 + 32/3*s**3 + 0*s + 71*s**2 + 1/60*s**5. Find u, given that a(u) = 0. -8 Let s = -6152 + 295297/48. Let f(x) be the second derivative of -1/4*x**2 + 1/8*x**3 + 3*x + 0 - s*x**4. Factor f(y). -(y - 2)*(y - 1)/4 Let n be ((-250)/35 - -7)*-7. Suppose -4*r + 4 = 2*g, n = -g + 5*r + 10. Factor -2/9*q + 0 + 2/9*q**g - 2/3*q**3 + 2/3*q**2. 2*q*(q - 1)**3/9 Let d(b) be the third derivative of 0 + 0*b + 1/42*b**7 + 0*b**4 + 91*b**2 - 1/12*b**6 + 0*b**3 - 1/4*b**5. Find r such that d(r) = 0. -1, 0, 3 Let k = 245/6 + -115/3. Let f(m) be the first derivative of m + k*m**2 + 4/3*m**3 + 19. Solve f(p) = 0. -1, -1/4 Let d = 8664 + -8668. Let q(k) = 5*k**3 + 8*k**2 + 13*k + 6. Let s(h) = 7*h**2 + 3*h + 3*h**3 + h + 9*h + 6. Let y(i) = d*s(i) + 3*q(i). Factor y(n). (n - 3)*(n + 1)*(3*n + 2) Let s(c) = 6*c**4 - 480*c**3 - 929*c**2 - 457*c + 21. Let w(m) = 2*m**4 - 240*m**3 - 465*m**2 - 229*m + 9. Let p(j) = -3*s(j) + 7*w(j). Factor p(h). -4*h*(h + 1)**2*(h + 58) Let g(a) be the third derivative of -1/3*a**3 - 1/20*a**5 + 1/210*a**7 - 5/24*a**4 + 0*a + 0 + 168*a**2 + 1/120*a*
{ "pile_set_name": "DM Mathematics" }
)/(-1)*10/m. Suppose -6*a + 3*a + 2*v + 30 = 0, -2*v - 50 = -5*a. What is the greatest common factor of r and a? 10 Suppose 2*d + 0*c + 3*c = 12, -17 = -d + 4*c. Let y = -4 + 9. Suppose y*v - 405 = 3*x, -4*x + 324 = 3*v + v. What is the highest common factor of d and v? 9 Let s(m) = -m**3 + 15*m**2 + 12*m - 24. Let l be s(15). Calculate the highest common factor of 12 and l. 12 Suppose -27*m + 2*z + 16 = -25*m, -4*m + 2*z = -28. Calculate the highest common factor of m and 678. 6 Suppose -3*l + 29 = 5. Let m be l/(-20) + 27/5. What is the highest common divisor of 45 and m? 5 Let s(y) be the first derivative of y**3/3 + 4*y**2 + 14*y + 1. Let q be s(-6). Let p be (1/(-3))/(q/(-6)). What is the greatest common factor of p and 3? 1 Let d be (-94)/(-7) + -6 + (-39)/(-7). Suppose x + 348 = d*x. What is the highest common divisor of x and 116? 29 Suppose 4*p + 541 = 4*o + 3*p, 4*o - 5*p = 529. Calculate the highest common factor of o and 238. 34 Let x be 4/(-2) + 1 - -29. Suppose -4*a = -2*d + 3*d - 59, -3*a = d - 45. What is the greatest common factor of a and x? 14 Suppose -12 = -4*l, 0 = -2*p + 3*p + 3*l - 75. What is the greatest common factor of 726 and p? 66 Let l(t) = t**3 - 6*t**2 + 5*t + 10. Let q(x) = -x**3 - 6*x**2 + 5*x - 9. Let r be q(-7). Let i be l(r). Calculate the highest common divisor of 15 and i. 5 Suppose l = -4*p + 24, -2*l + 21*p - 23*p + 66 = 0. What is the highest common factor of l and 288? 36 Suppose 1489 = 3*d + 1225. What is the highest common divisor of d and 616? 88 Suppose 9 + 2 = d. Suppose 3*k = -23 + 386. Calculate the highest common divisor of d and k. 11 Suppose -4*z = -4*h - 100, -99 = -23*z + 19*z + 3*h. Calculate the highest common factor of z and 184. 8 Let u(c) = -15*c + 395. Let k be u(10). What is the highest common divisor of k and 35? 35 Suppose -35 = -s + u - 6, 0 = -5*s - u + 121. What is the highest common divisor of s and 325? 25 Let t be (53 - 2) + (6 - 8). Let a = 74 - t. What is the highest common divisor of a and 50? 25 Let h be 2 - -7*((-2064)/(-14))/4. Suppose -8*k = 12*k - h. What is the greatest common factor of 286 and k? 13 Let j(d) = d**2 + 15*d - 20. Let u be j(-16). Let z be (-6 - (0 - u))*18/(-15). What is the greatest common factor of z and 20? 4 Suppose -2*p + 104 = 4*k - 5*p, 0 = -2*k + 5*p + 38. Suppose -3*j - 24 = 27. Let s = k + j. What is the highest common divisor of 18 and s? 6 Let r(v) = v**3 + 6*v**2 + 5*v - 2. Let w be r(-5). Let a = 0 - w. Suppose -a*b + 50 = -b. Calculate the greatest common divisor of 10 and b. 10 Suppose 5*g - 105 = -5*b, -3*g + 95 = 3*b + 2*b. Let a(x) = x + 8. Let w be a(-6). What is the highest common factor of w and b? 2 Let k be 4/(8/4)*16. Let f = k - 23. What is the highest common factor of 99 and f? 9 Let d be ((-18)/24)/((-2)/(-16)). Let s(h) = h**2 + 4*h + 2. Let c be s(d). What is the greatest common factor of c and 14? 14 Let x(h) = h**3 + 16*h**2 - 15*h + 49. Let l be x(-17). Suppose -19 = 5*s - 169. What is the greatest common factor of l and s? 15 Let z = 263 - 214. What is the greatest common factor of z and 7? 7 Let m = -99 + 358. Calculate the greatest common divisor of m and 7. 7 Let d(m) = m**2 + 2*m - 4. Let i be d(-3). Let y = i + 7. Suppose 4*s - 47 = z, -2*s + 22 = -y*z + 4*z. What is the greatest common factor of s and 12? 12 Suppose 0 = 2*j + 34*s - 31*s - 783, 0 = 5*j + s - 1925. What is the greatest common factor of j and 6? 6 Let x = 1 + -2. Let a be x - (-1)/(2 - 177/89). What is the greatest common divisor of 11 and a? 11 Suppose 25*g = 16*g + 216. Let t(m) = -3*m + 6. Let l be t(-6). What is the greatest common divisor of l and g? 24 Let o = -12 + 32. Let y = -9 + o. Let l = -103 - -136. Calculate the greatest common divisor of l and y. 11 Let o(i) = -4*i**2 + 2*i**3 - 3*i**3 + i**2. Let d be o(-3). Suppose -t - 4 + 79 = d. Calculate the highest common factor of t and 50. 25 Suppose -51*u - 2499 = -58*u. Calculate the highest common factor of u and 21. 21 Suppose 0 = 3*z - a - 44, -2*z = -13*a + 9*a - 36. What is the greatest common divisor of z and 14? 14 Suppose 2*r - 3 = 5. Suppose 4*h - 3*y = -0*y, h = 5*y. Let f = h + r. Calculate the highest common divisor of f and 20. 4 Suppose 0 = -30*g + 37*g - 294. Calculate the greatest common factor of g and 266. 14 Suppose -1074 = -34*j + 3516. Calculate the greatest common factor of j and 81. 27 Let r be 6/2*1*1. Let b(c) = -4 - 1 - 2*c + c**r + 4*c**2 + 0*c**3 + 2*c**2. Let l be b(-6). Calculate the highest common factor of l and 21. 7 Let q(w) = -w**3 - 4*w**2 - 2*w - 6. Let i be q(-4). Suppose -i*u - 4 = -4*u. Let f be u + 15 - (-2 - -1). What is the greatest common divisor of 72 and f? 18 Suppose 0 = -2*g + 21 + 49. Let n be 357/(-34)*2/(-3). Calculate the greatest common divisor of g and n. 7 Let x(m) = -m**3 - 17*m**2 - 49*m - 13. Let u be x(-14). Calculate the greatest common factor of u and 17. 17 Let m = -4 + 10. Let x be (-12)/(-36) + 214/m. Let i be ((-1)/(-2))/(1/x). What is the highest common divisor of i and 2? 2 Let q = 25 - 25. Suppose 0 = -q*z + 4*z - 12. Suppose -z*g + 364 = 34. Calculate the greatest common divisor of g and 44. 22 Let l be 408/9 - 24/72. What is the greatest common divisor of 81 and l? 9 Suppose 3*a - 5*c - 235 = 0, -2*a - a = 5*c - 215. Suppose 0 = 3*k - 160 - 8. Let w = k - 26. Calculate the greatest common factor of a and w. 15 Let c = 96 - -8. Calculate the highest common divisor of c and 13. 13 Let k = 129 - 72. Let a = k + -52. Let n = 50 - 35. Calculate the greatest common divisor of a and n. 5 Let u(l) = 2*l**2 + 10*l + 21. Let t be u(-5). What is the highest common divisor of 30 and t? 3 Let z(l) = l**3 + 12*l**2 - 5*l - 17. Let u be z(-12). Suppose 3*y - u + 10 = 0. Let t = 28 - 6. What is the highest common factor of t and y? 11 Let h = -206 + 582. Suppose 2*z - 3*z + 84 = -2*m, -5*z - m + h = 0. What is the greatest common factor of z and 19? 19 Let l = -156 - -170. What is the highest common divisor of 301 and l? 7 Let a be 21/(-28) - 5/4. Let u be (a + 2 - 0) + 8. Let r(h) = h**3 - 2*h**2 + 2*h - 3. Let n be r(2). Calculate the greatest common factor of u and n. 1 Let q be (0/2 - 1)*2. Let w = -2 - q. Suppose 3*y - 551 + 23 = w. Calculate the highest common factor of y and 16. 16 Let s(c) be the second derivative of -10*c**3 + 6*c**2 + 42*c - 2. Let w = -7 - -3. Let f be s(w). Calculate the highest common divisor of 36 and f. 36 Let b = -1028 - -1055. What is the greatest common divisor of 117 and b? 9 Suppose 45*c - 55*c + 7680 = 0. What is the highest common factor of 36 and c? 12 Suppose 2*s = 2*z - 3*z - 116, 2*s - z = -116. Suppose -g = 2, c - 4*g - 43 = -3*g. Let w = c - s. Calculate the highest common divisor of 9 and w. 9 Let w be (-604)/(-24) + (-13)/78. Calculate the highest common divisor of 625 and w. 25 Suppose 34 = -2*k + 66. Suppose 5*g - d - k = 2, d = -5*g + 22. What is the highest common divisor of 4 and g? 4 Let w = 469 - 466. Calculate the highest common factor of 753 and w. 3 Let m = -275 + 295. Calculate the highest common divisor of 100 and m. 20 Suppose -7 + 26 = s - 5*u, -2*s + 4*u + 26 = 0. Suppose m - 3 = v - s, 0 = -4*v + m + 30. Calculate the greatest common divisor of 32 and v. 8 Let a = 178 - 148. Calculate the greatest common divisor of 25 and a. 5 Let t be 3 - (-4 + -23 - -3). Let h = t - 21. Suppose -7*w + h*w + 102 = 0. Calculate the highest common divisor of 34 and w. 34 Let s(f) be the second derivative of -7/2*f**2 - 3*f + 0 - 4/3*f**3. Let y be s(-2). What is the highest common factor of y and 6? 3 Let h(s) = 3 - 4*s**3 - 2*s**3 + 0*s**3 + 5*s**3. Let m be h(4). Let p = 99 + m. Calculate the highest common divisor of p and 57. 19 Suppose 4*m + 5*g - 9 = 155, -5*m = -4*g - 164. Let h = 22 - 18. What is the highest common factor of m and h? 4 Let m = -106 + 214. Calculate the highest common factor of 162 and m. 54 Suppose 5*b + 5*a = 225, 2*b + 5*a - 49 = 56. What is the highest common divisor of 8 and b? 8 Let z be (-7715)/(-7) + (-15)/105. Calculate the greatest common factor of z and 19. 19 Let o be ((-5)/(10/(-6)))/(-1) - -6. Calculate the greatest common divisor of o and 31. 1 Suppose 4*p - 456 - 1404 = 0. Calculate the highest common factor of 45 and p. 15 Suppose 0 = -6*i + 22*
{ "pile_set_name": "DM Mathematics" }
*a + 7. Let l(v) = -v - 10. Let m be l(-4). Let p(k) = 4*k - 13. Give m*p(t) - 11*z(t). -2*t + 1 Let w(i) = -2*i**2 + 2. Let m(o) = -3*o**2 + 2. Let a = -21 + 30. Let k = -14 + a. Give k*w(t) + 4*m(t). -2*t**2 - 2 Let i(k) = -4*k + 3*k + 3 + k + 4*k. Let v(w) = -10*w - 17. Let h(c) = 5*c + 8. Let r(y) = -9*h(y) - 4*v(y). Give -7*i(b) - 6*r(b). 2*b + 3 Let u(z) = -9*z**2 - 2*z. Let n(q) = -117*q**2 - 27*q. Calculate 2*n(g) - 27*u(g). 9*g**2 Let i(h) = -2*h**2 - 3*h + 3. Let n = 0 - 4. Suppose -g = -2*g. Let q(f) = 4*f - 4 + g*f**2 + 0 + 2*f**2. Determine n*i(j) - 3*q(j). 2*j**2 Let x(i) = 26*i**2 - 4*i - 20*i**2 + 5*i**3 + 6*i. Let l be ((-9)/2)/(2/(-4)). Let q = -5 + l. Let v(y) = -y**3 - y**2 - y. Calculate q*v(s) + x(s). s**3 + 2*s**2 - 2*s Let g(p) = -9*p**2 + 7*p + 2. Let r be (1*-6)/(3 + -4). Let n be (-2)/r - 22/6. Let c be (2/(-2))/(n/28). Let i(w) = 8*w**2 - 6*w - 2. Give c*i(s) + 6*g(s). 2*s**2 - 2 Let d(l) = -2*l**3 - 5*l**2 - 5*l - 5. Let p = -12 + 6. Let j(h) = h - 1. Let a be j(p). Let x(u) = -3*u**3 - 7*u**2 - 7*u - 7. Determine a*d(m) + 5*x(m). -m**3 Let f(h) = 5*h**2 + 6. Let n(t) = -t**2 - 1. Determine -2*f(x) - 11*n(x). x**2 - 1 Suppose -m + 9 - 7 = 0. Let n(a) = -4*a - 1. Let r(g) = 3*g. Give m*n(w) + 3*r(w). w - 2 Let f(c) = c**3 - c**2 + c + 1. Let o(s) = 7*s**3 - 4*s**2 + 6*s + 7. What is 4*f(j) - o(j)? -3*j**3 - 2*j - 3 Let i(d) = 9*d**2 - 3*d + 6. Suppose 0 = 4*s - 3*s - 3. Let x(u) = 5*u**2 - 2*u + 3. What is s*i(q) - 5*x(q)? 2*q**2 + q + 3 Let l(g) = -14*g - 6. Let j(a) = -11*a + 16. Let h(t) = -10*t + 13. Let o(q) = 6*h(q) - 5*j(q). Suppose -2*u - 28 = -6. Calculate u*o(i) + 4*l(i). -i - 2 Let j(z) = 2*z - 5. Let p be 132/(-20) - (-2)/(-5). Let v = p + 3. Let a(f) = -f + 2. What is v*j(d) - 9*a(d)? d + 2 Let g(w) be the first derivative of -w**4/4 - 4*w**3/3 + w**2 + 5. Let c(p) = -p**3 - 2*p**2 + p. Calculate -7*c(z) + 4*g(z). 3*z**3 - 2*z**2 + z Let l(h) = 15*h**3 - 11*h**2 + 13*h + 17. Suppose 0 = q - 2*q - 1, 27 = 4*n - 3*q. Let f(d) = -7*d**3 + 5*d**2 - 6*d - 8. Determine n*l(z) + 13*f(z). -z**3 - z**2 - 2 Let g = -49 + 47. Let u(y) = -4 + 13*y**2 - 2*y + 2*y. Let v(k) = 3*k**2 - 1. Give g*u(q) + 9*v(q). q**2 - 1 Let n be 60/27 - 2/9. Let u(y) = -3*y**n + 9*y**2 + 0*y - 5*y. Let i(m) be the third derivative of m**5/12 - m**4/6 + 2*m**2. Give 5*i(w) - 4*u(w). w**2 Suppose -2*m - 1 + 3 = -s, -2*s - 2 = -3*m. Let w(u) = -3*u**2 + u - 2. Let r(i) = -13*i**2 + 5*i - 9. Determine m*r(t) - 9*w(t). t**2 + t Let k(m) = -1. Let r = 7 + -13. Let o be (4 + r)/(2/(-122)). Suppose -5*v - 3*i = -o, -v + 0*v + 6 = -4*i. Let p(y) = -y - 11. Give v*k(n) - 2*p(n). 2*n Let j(r) = -5*r**2 + 3*r + 3. Let p(c) = 4*c**2 - 4*c - 2. Determine -2*j(l) - 3*p(l). -2*l**2 + 6*l Suppose 3*c - 24 = -c. Let b(g) = 0*g - g + 14 + g - c*g. Let v(x) = 4*x - 9. Give 5*b(m) + 8*v(m). 2*m - 2 Let u(v) = 6*v + 0*v - 5*v - 1. Let h(d) be the first derivative of -d**2/2 + 1. Suppose -2*y = 2*g + 10, -2*y = y - 4*g - 6. Give y*h(c) - u(c). c + 1 Let f(g) = 8*g**2 - 6*g - 6. Let k(c) be the second derivative of 3*c**4/4 - 7*c**3/6 - 7*c**2/2 + 6*c. What is 7*f(t) - 6*k(t)? 2*t**2 Let y(o) = 9*o**2 - 3. Let l(m) = -1. Calculate -l(h) + y(h). 9*h**2 - 2 Let b(t) = t**2 + 2. Let k(f) = 82*f**2 - 1 - 2 - 83*f**2. Calculate -7*b(n) - 5*k(n). -2*n**2 + 1 Let l(q) = -q - 1. Let y(g) = -g**2 - g - 1. Let v(j) = 4*j**2 + 2*j - 2. Let o(a) = -v(a) - 5*y(a). Give -4*l(r) - o(r). -r**2 + r - 3 Let t(i) = 24*i - 1. Let a(b) = 25*b - 1. What is -4*a(n) + 3*t(n)? -28*n + 1 Let g(f) = 8*f**2 + 6*f + 6. Let j(p) = -p**3 + 4*p**2 + 6*p + 1. Let u be j(5). Let l(d) = 17*d**2 + 13*d + 13. Determine u*l(y) - 13*g(y). -2*y**2 Let h(y) = 3*y**2 + 7*y - 2. Let b(v) = 2 + 0 - 2*v**2 - 1 - 4*v. Give 5*b(s) + 3*h(s). -s**2 + s - 1 Let r(k) = -13*k + 4. Let s(t) = 12*t - 3. What is 5*r(a) + 6*s(a)? 7*a + 2 Let k(r) = -26*r**3 - 10*r**2 - 16*r. Let d(f) = -5*f**3 - 2*f**2 - 3*f. Let j = 10 - 8. Let u = j - -14. What is u*d(g) - 3*k(g)? -2*g**3 - 2*g**2 Let u(f) = 3*f**2 + 2*f - 4. Let o(y) = -7*y**2 - 5*y + 9. Let s(z) = z**3 - 13*z**2 - 2*z + 31. Let a be s(13). Calculate a*u(q) + 2*o(q). q**2 - 2 Let y(w) = 5*w + 3. Let d(c) = 29*c + 17. Calculate 6*d(p) - 34*y(p). 4*p Let c(n) = -4*n + 4. Let l(y) = y - 1. What is -c(h) - 3*l(h)? h - 1 Let q be 27/(-4) + 15/20. Let z(j) be the second derivative of 11*j**3/6 - j**2 - j. Let w(v) = -5*v + 1. Give q*z(o) - 13*w(o). -o - 1 Let k(y) = 513*y**2 + 95*y. Let w(h) = -16*h**2 - 3*h. Give -3*k(i) - 95*w(i). -19*i**2 Let m(u) = 5*u**3 - 3*u**2 + 1. Let i(b) = -2*b - 2. Let l be i(-3). Let a be 10/(-4) + (-3)/6. Let j(v) = 6*v**3 - 4*v**2 + 1. Give a*j(s) + l*m(s). 2*s**3 + 1 Suppose p + 17 = 4*p - 5*u, -p - u - 5 = 0. Let w(s) = s - 1. Let m(q) be the second derivative of q**3/2 - q**2 + 13*q. Give p*m(v) + 2*w(v). -v Suppose -4*l + 2*l - 6 = 0. Let x be ((-11)/(-3))/(l/(-9)). Let j(b) = 9*b**2 - 2*b - 4. Let a(h) = 5*h**2 - h - 2. Give x*a(w) - 6*j(w). w**2 + w + 2 Let q(c) = -8*c - 5. Let o be ((-6)/4)/(-3)*14. Suppose 14 = -0*a + 2*a. Let p(r) = -2 - a + 3 - 9*r. Give o*q(h) - 6*p(h). -2*h + 1 Suppose 0 = 3*d + 6 - 30. Let i(w) = 14*w**2 + 8*w - 8. Let c(a) = 5*a**2 + 3*a - 3. Give d*c(u) - 3*i(u). -2*u**2 Let k(j) be the third derivative of 0 + 0*j + 0*j**3 - j**2 + 1/4*j**4. Let s(v) = -4*v - 6*v + 3*v. What is -5*k(i) - 4*s(i)? -2*i Let t(s) = 4*s - 2. Let j be t(1). Let p(c) = 1 + 2*c + 2*c - 6*c**3 - 6*c**2 + 5*c**j. Let b(v) = 13*v**3 + 2*v**2 - 9*v - 2. What is 4*b(y) + 9*p(y)? -2*y**3 - y**2 + 1 Let t(m) = -m + 6. Let y(a) = 2*a**3 + 19*a**2 - 9*a + 11. Let p be y(-10). Let i(f) = 1. What is p*t(q) - 6*i(q)? -q Let x(b) = b**2 + 5*b - 5. Let y(n) be the second derivative of n**3/6 - n**2/2 + 2*n. Let s be (0 + -1 + 7)/1. Suppose 5*z = 1 - s. Give z*x(w) + 5*y(w). -w**2 Let j(m) = -m**3 + 5*m**2 - 4*m + 2. Let a be j(3). Let v(k) = -a*k**2 + 6*k**2 + 4 - 2*k + 5*k. Let p(z) = -4 + 5 - 2*z + 3*z - z**2. What is 3*p(c) - v(c)? -c**2 - 1 Let o(y) = 17*y**3 - 5*y**2 - 6*y - 6. Let j(f) = -50*f**3 + 14*f**2 + 17*f + 17. Determine 6*j(i) + 17*o(i). -11*i**3 - i**2 Let y(h) = 35*h**3 - h**2 - h - 1. Let z be y(-1). Let k be (2/3)/((-8)/z). Let g(p) = 2*p. Let l(t) = -3*t. Give k*l(r) + 4*g(r). -r Let g(j) = -j**3 - 9*j**2 + 8*j - 14. Let k be g(-10). Let u(h) = k*h + 7 - 3*h + 5*h + 5*h. Let x(i) = -7*i - 4. Calculate -6*u(o) - 11*x(o). -o + 2 Let o(n) = 2*n**2 - 2*n - 7. Let i(a) = -16*a**2 + 16*a + 26. Let x(h) = -3*h**2 + 3*h + 5. Let q(s) = -2*i(s) + 11*x(s). Determine 6*o(k) + 14*q(k). -2*k**2 + 2*k Let n(d) = -16*d + 6. Let l(t) = 15*t - 5. Determine -7*l(q) - 6*n(q). -9*q - 1 Let a(d) = d + 1. Let z(t) = t**2 - 4*t + 3. Determine 2*a(h) + z(h). h**2 - 2*h + 5 Let q be 1 + 0/(-3 + 1). Let b be (-1)/q*(1 + 0). Suppose -5*z - 7 = 8, -4 = f + 2*z. Let y(m) = 2. Let u(g) = g**2 + 1. What is b*y(c) + f*u(c)? 2*c**2 Let z(d) = 6*d**2 - 5*d + 2. Let c(j) = 12*j**2 - 11*j + 4. Determine -4*c(t) + 9*z(t). 6*t**2 - t + 2 Let a be ((-6)/(-27))/(7/63). Let p(t) be the first derivative of 5/2*t**a - 2 + 4*t. Let q(d) = 4*d + 3. Calculate -2*p(h) + 3*q(h). 2*h + 1 Let m = 11 + -28. Let g = m + 19. Let s(k) = -k**2 + 11*k - 11. Let z(x) = 2*x - 2. Give g*s(b) - 11*z(b). -2*b**2 Let u(n) = -4*n**3 + 4*n**2 - 5*n + 9. Let w(k) = -10*k**3 + 10*k**2 - 12*k + 22. Determine 12*u(q) - 5*w(q). 2*q**3 - 2*q**2 - 2 Suppose 0 = -c - 0*c + 10. Suppose -b = b - c. Let t(x) = x**2 + b*x + x**3 - 3*x - 3*x**3. Let f(z) = -z**2. Calculate 2*f(m) + t(m). -2*m**3 - m**2 + 2*m Let f be (12 - 8)/((-4)/6). Let b(x) = -5*x**3 - 6. Let v(h) = 6*h**3 + 7. Let t(j) = j**2 - 5*j + 2. Let o be t(3). Let m = -11 - o. Calculate f*v(i) + m*b(i). -i**3 Let j(a) = -a. Suppose -5*h = -4*x - 20, 0*h + 2*x = -2*h - 10. Suppose d + 4*t + 14 = 0, h = d - 5*t - 18 - 13. Let m(i) = 3*i. Determine d*j(n) + 3*m(n). 3*n Let o(r) = r**3 - 2*r**2 + 2*r + 2. Let t(s) be the first derivative of 3*s**4/4 - 5*s**3/3 + 5*s**2/2 + 4*s - 22. Give 5*o(i) - 2*t(i). -i**3 + 2 Let y(m) = -2*m + 4. Let q(i) = 3*i - 7. Let v be (-2)/((2/2)/(-5)). Suppose 0 = a - 4. Suppose g + 18 = a*g. What is g*q(o) + v*y(o)? -2*o - 2 Let r(a) = 13*a + 8. Let s(h) = 3*h + 2. Calculate -2*r(t) + 9*s(t). t + 2 Let a
{ "pile_set_name": "DM Mathematics" }
540 = 5*b + 9*k - 10*k. Let c = b + 3537/5. What is the second smallest value in -16, w, c? w Let y = -280.9 + 268. What is the second biggest value in 1, y, 0.5? 0.5 Suppose -5*k - 37 + 74 = 2*h, 0 = 4*k + 12. Let w = -0.2 + -0.8. What is the second biggest value in 4, h, w? 4 Let m = 9.1795 + -0.1795. Let s = -10.08 + 10. Let w = 0.58 + s. Which is the fourth smallest value? (a) 0 (b) w (c) m (d) -2/13 c Let w(q) be the third derivative of 11*q**4/24 + 10*q**3/3 - 111*q**2. Let k be w(-2). Let z be (-2)/(-3) - 46/42. What is the smallest value in k, -1, z, -4? -4 Let i be 38/(-90) + 19/((-1539)/(-18)). Let k = 55 + -13. Let s = k + -45. What is the fourth biggest value in -0.05, i, -2, s? s Let z = 22.98 + -18. Let y = z - 9.98. Which is the second biggest value? (a) -35 (b) y (c) 2 (d) -4 d Let m = 329 + -347. Let i = -22 - m. Let n = 3 - 2.8. What is the second smallest value in 4, n, 2/7, i? n Let f(k) = 19*k**2 - 3. Let d be f(1). Let s = 39 - 115/3. Which is the second biggest value? (a) d (b) s (c) -2 b Let k = -4.92 - -5. Let a = 2.7585 - 2.9585. What is the third smallest value in -6, k, a? k Let r = -3176 + 3185. Let l = 2.94 - -0.06. Let y = 2.5 - l. Which is the second smallest value? (a) -1 (b) r (c) y c Suppose -27*r - 32*r = -52*r - 28. Which is the biggest value? (a) r (b) 10/11 (c) -100 a Let s(h) = -2*h**3 + 12*h**2 - 20*h - 11. Suppose 0 = 175*x - 178*x + 18. Let o be s(x). What is the third biggest value in 2, o, 0.4? o Let w be 1/(-6)*1*5*(-16)/(-40). Which is the third smallest value? (a) 0.5 (b) -3/5 (c) -0.4 (d) -3 (e) w c Let j = 1.31 - 0.11. Let z = j + -8.2. Let p = -7337 - -7337.5. Which is the third smallest value? (a) z (b) 0 (c) p c Let r = -5945 + 5940. What is the third smallest value in -3, 0.23, r, 3? 0.23 Let l be (-2)/(-7)*(-812)/3132. Which is the second smallest value? (a) l (b) 5 (c) -0.01 c Suppose -234 = 42*y - 48*y. Suppose -5*z = -18*z + y. Let f = -439/3 - -145. What is the third biggest value in -4, z, f? -4 Let t = -15/434 + -3427/1302. Let y = 4/15 - 3/5. What is the biggest value in 2, y, t, 0.2? 2 Let z = 2311 + -2316. Which is the second biggest value? (a) z (b) -9 (c) -7 c Let y = 2 - 2.3. Suppose -5*t - 2*u + 1998 = 0, -3*t + 8*t - 1997 = -3*u. Let q = 403 - t. What is the second biggest value in q, -4, y, 10? q Let a = 8327 + -308100/37. What is the fourth biggest value in 2, a, 0.5, 3? a Let w = -696.8 - -837. Let d = -140 + w. Let t = -5.1 + 0.1. What is the fourth smallest value in 0, -4, d, t? d Suppose -26 = -4*j - 6. Let o be (12/9)/(-2) - (-10)/24. Let t = 1/1588 + -993/794. Which is the second smallest value? (a) t (b) j (c) o (d) -1 d Let m(x) = x**3 - 6*x**2 - 4*x + 22. Let d be m(6). Let k = 74.1 + -84. Let q = -2.1 + k. Which is the second smallest value? (a) q (b) -0.3 (c) d c Let t = 1.982 + 0.018. Let i = -51.2552 + 0.0952. Let q = i + 51. What is the smallest value in t, q, 0, -0.1? q Let y = 0.4 + 0.1. Suppose 1743*t - 45 = 1738*t - 4*u, -u - 2 = -12*t. Which is the biggest value? (a) -2 (b) t (c) y (d) 3 d Let s = -39.9343 - 0.0657. What is the second smallest value in -9, 5, s? -9 Let n = 7.5 - 8. Let h = 35 - 313/9. Suppose -2*q + 12 = 3*q + 3*t, 2*q = t - 4. Which is the fourth smallest value? (a) -1/5 (b) n (c) q (d) h d Let s = -5189/3 - -1731. Which is the biggest value? (a) 1.5 (b) 6/5 (c) 5 (d) s c Let b = -8070 + 8067. Let q be 4/6*(0 + -3). What is the second biggest value in -0.4, q, 5/4, b? -0.4 Let x = -58 + -48. Let o = 106.3 + x. What is the second smallest value in 2/3, o, 4? 2/3 Let a = -55 - -36. Let r = -490 + 493. What is the smallest value in a, r, -1, -2/9? a Let g = 422 - 426.55. Let h = g + -0.45. What is the second smallest value in 7, -0.5, h, 4? -0.5 Suppose 0 = -3*w + 5*t + 20, 18 = 3*w - 0*w - 3*t. Let z be 280/25 - 270/27. Which is the smallest value? (a) w (b) z (c) -5 c Suppose -5*d - j - 1 = 0, -2*d - 8 = 4*j - 22. Let g be d - 2 - (-1 - 33). Which is the biggest value? (a) g (b) -0.5 (c) -2 a Let p = 2.1 + -2. Let t = 95.4 - 96.1. Which is the smallest value? (a) 5/3 (b) t (c) p b Let u = -1 - -5. Suppose -4 = -538*j + 536*j. Let k be (-8)/5 + (-3 - j)/(-5). Which is the fourth biggest value? (a) 0.1 (b) u (c) k (d) 4/7 c Let m be (0 - (-6)/(-8))*(-2160)/405. What is the fifth biggest value in m, -19, 5, 3, -0.4? -19 Let r = 0.3 + -0.3. Let s(n) = n**2 + 1973*n + 19632. Let c be s(-10). What is the smallest value in 0.03, r, c? r Let t = 4 + -3.9. Let l be (-3 + 16/8)*((-4 - -10) + -8). Let y = 4 - 9. Which is the smallest value? (a) y (b) t (c) l a Let s = -0.08592 - -4.08592. What is the biggest value in s, -97, 0.3, -3, -0.07? s Let q(j) = 5*j**2 - 49*j - 608. Let x be q(18). Which is the third smallest value? (a) x (b) 2/11 (c) -0.4 (d) -0.3 (e) 4/5 b Let m be (-1)/5 + 480/25. Let v(k) = k**2 - 22*k + 53. Let t be v(m). Which is the biggest value? (a) 3/5 (b) 2/11 (c) -35 (d) t a Let v be (-36)/(-77) + 20/(-70). Let u be 1 - 14 - -16 - 4. Which is the third biggest value? (a) v (b) u (c) 10 b Let d = -281/28 + 39/4. Let u be (3/21)/((-2)/7). Which is the second smallest value? (a) u (b) -42 (c) d a Let s be 0 + (-3)/7 - (-399)/588. Which is the second biggest value? (a) -0.02 (b) -4 (c) s (d) 2/3 c Let l = -312 + 477. Let x = -164.9 + l. Let t = 28 - 51. Which is the smallest value? (a) x (b) -1/9 (c) t c Let m be (-24)/(-66)*40/(-48)*3. Which is the biggest value? (a) 0.2 (b) m (c) 5/11 c Let x = -10 + 12. Suppose -z = -d - 1, x*z - 5*d - 5 = 7*z. Let q = -13.7 + 16.7. Which is the biggest value? (a) z (b) 4/3 (c) q c Let z = 0 - 0.1. Let d = 908.08 + -908.98. Which is the smallest value? (a) d (b) z (c) 0 a Let s be (7/6)/(-7)*(-20)/15. What is the third smallest value in -1/143, 1/5, s? s Let c = 1/1330 - -164917/3990. Let a = c + -2114/51. What is the biggest value in -2/27, a, 5/6? 5/6 Let l = 0.2 + -0.2. Suppose -124*o - 21 = -248*o + 131*o. Let c = 0.3 + -1.3. What is the second smallest value in l, o, c? c Let z = 7014 + -6985. Which is the third biggest value? (a) -0.5 (b) z (c) 0 (d) -5 (e) 2 c Let z(c) = c**2 + 6*c + 1. Let x be z(-4). Let k = 4 + x. Let i = 11311 + -11306. What is the biggest value in i, 1, 3/8, k? i Let p be 9 - (0 + -6 + 7). Suppose p*w = 39*w - 124. Which is the third smallest value? (a) w (b) 7 (c) 1/4 b Let a = -17.8 - -16. Let c = 2009 + -2007. Let l = a + c. What is the second biggest value in l, 5, -1? l Let n = 417/5 - 83. Suppose -317 - 789 = 7*v. Let h = 631/4 + v. Which is the biggest value? (a) h (b) n (c) 0.5 c Let h = -2.2 - -2. Let w be 4/(-42)*(-3 + 17 - 17). Which is the fourth smallest value? (a) 0.4 (b) w (c) h (d) 5 d Let z = 43515.2 + -43515. What is the fourth biggest value in 0.1, 7/8, z, -1? -1 Let f = -9.1 + 40.9. Let y = 30.7 - f. What is the second smallest value in y, -2/15, 3? -2/15 Let m = 31 + -10. Let p = m + -24. Let h = -7.8 + 7.4. Which is the biggest value? (a) h (b) p (c) 3 c Let n be 4/(((-66)/8)/(9/(-144)*-6)). What is the third biggest value in -45, -3, n, -1/12? -3 Let n = 4055 - 16221/4. What is the second biggest value in -35, 0, n, -8? n Let w = -129 - -126. Let n be 15*w/36*-4. Let o be ((-3)/(-78))/((-2)/4). Which is the smallest value? (a) o (b) 1 (c) 0.5 (d) n a Let f be 4 + -7 - 2121/(-6). Let x = -351 + f. Which is the biggest value? (a) -0.4 (b) 1 (c) x (d) -1 b Let p = -35.41 + 0.41. Let k = -446.6 + 412. Let q = k - p. Which is the second smallest value? (a) -3 (b) q (c) 3 b Let j be 2/8*(-4)/9. Let g = 40.51 - 1.51. What is the fourth biggest value in 3, g, j, -4? -4 Let k = -1042442/5355 + 2/5355. Let c = -193 - k. Suppose -m + 3*w = -1, 16 = -3*m + 2*w - 2. What is the second biggest value in m, -1/2, c? -1/2 Let t = 22857 + -22857. What is the biggest value in t, -2/7, -486/5? t Let o = -489 + 586. Let r = -97.2 + o. Which is the second biggest value? (a) r (b) 0.39 (c) 0 c Let z = 25466 - 25465.2. Let t = -13 + 11. What is the second biggest value in z, 0.3, t, -4? 0.3 Let i = 1.48 - 0.18. Let w be (-8)/(-60) + (782/255)/(-23). Let n be (-2)/(-56) - 1/(-4). What is the third biggest value in w, i, n, 1/2? n Suppose -
{ "pile_set_name": "DM Mathematics" }
(r) be the third derivative of r**2 + 0 + 0*r + 1/24*r**4 - 1/3*r**o + 1/60*r**5. What is u in f(u) = 0? -2, 1 Suppose 7*y = 4 + 10. Suppose -2*n = -y*b - 10 - 12, -4*n + 2*b + 42 = 0. Factor -12*a**3 + 2*a**4 + n + 16*a**2 + 12*a - 11 - 17. 2*(a - 3)**2*(a - 1)*(a + 1) Let y = 3440/3 + -24071/21. Let f(t) be the first derivative of 6/7*t**2 - 3/14*t**4 + 3/35*t**5 + 12/7*t - y*t**3 + 18. Factor f(m). 3*(m - 2)**2*(m + 1)**2/7 Find d, given that -40/3*d**4 - 2314/9*d**3 - 40000/9 - 15764/9*d**2 - 2/9*d**5 - 4800*d = 0. -25, -4, -2 Suppose 2*g = -y - 1213, g + 828 - 227 = 5*y. Let t = -334 - g. Find a, given that -t*a**2 + 180*a**3 - 32 + 176*a - 160*a**2 + 120*a**2 = 0. 2/5, 2/3 Let c(n) = 2573*n - 43741. Let t be c(17). Solve 4/7*j**3 - 16/7*j**2 + t - 12*j = 0 for j. -3, 0, 7 Let v(y) = -8*y**2 - 18*y - 10. Let m(g) = 9*g**2 + 19*g + 10. Let b(a) = -12*a + 1 + 5*a - 2*a**2 + 0. Let t be b(-4). Let p(d) = t*m(d) - 4*v(d). Factor p(q). 5*(q + 1)*(q + 2) Factor 0 + 25/3*d**4 + 78*d**3 + 1/3*d**5 + 324*d**2 + 504*d. d*(d + 6)**3*(d + 7)/3 Let b(o) be the first derivative of -o**8/420 + o**7/60 + 31*o**6/1440 + o**5/120 - 4*o**3/3 + o - 74. Let l(m) be the third derivative of b(m). Factor l(a). -a*(a - 4)*(4*a + 1)**2/4 Let f(a) be the third derivative of 5/9*a**3 - 1/90*a**5 + 26*a**2 + 0 - 1/9*a**4 + a. Factor f(o). -2*(o - 1)*(o + 5)/3 Let l(a) be the first derivative of a**6/270 - 29*a**5/270 + 13*a**4/108 + 14*a**3/27 - 19*a**2/2 - 2. Let q(j) be the second derivative of l(j). Factor q(h). 2*(h - 14)*(h - 1)*(2*h + 1)/9 Let v(z) be the second derivative of z**5/10 - 635*z**4/6 + 99847*z**3/3 + 305283*z**2 + 1732*z + 2. Suppose v(g) = 0. What is g? -3, 319 Let s be 4/5 - (748/85 + -10). Solve 0 - 50/13*y + 2/13*y**5 + 20/13*y**s - 20/13*y**4 + 48/13*y**3 = 0 for y. -1, 0, 1, 5 Let w = -148 + -27. Let k be ((-280)/w)/((-18)/(-5)). Let k - 2/9*q**2 + 2/9*q = 0. Calculate q. -1, 2 Let s(v) be the second derivative of 3*v**5/20 + 403*v**4/4 + 39991*v**3/2 - 370881*v**2/2 + 1847*v + 1. Factor s(c). 3*(c - 3)*(c + 203)**2 Let t be ((-114)/12)/((-2)/(-4)). Let m = 23 + t. Factor -2*d**m + 6*d**2 - d**4 + 703*d**3 - 706*d**3. -3*d**2*(d - 1)*(d + 2) Suppose 101*w = -28*w - 126*w + 4845. Let u(v) be the first derivative of w + 4/19*v - 2/57*v**3 + 1/19*v**2. Solve u(i) = 0. -1, 2 Let k(y) be the third derivative of -y**8/2520 + y**7/1260 + y**6/108 + y**5/60 - 67*y**3/6 + 85*y**2. Let s(o) be the first derivative of k(o). Factor s(i). -2*i*(i - 3)*(i + 1)**2/3 Let m(p) be the third derivative of p**5/300 - 23*p**4/12 - 232*p**3/15 + 2241*p**2. Factor m(n). (n - 232)*(n + 2)/5 Let p = 2132/425 - 11099/2975. Factor p*u + 3/7*u**4 + 12/7 - 9/7*u**3 - 15/7*u**2. 3*(u - 4)*(u - 1)*(u + 1)**2/7 What is b in 33*b**3 + 1721*b - b**3 - 41231*b**2 + 3*b**4 + b**4 - 529*b - 576 + 40579*b**2 = 0? -18, 1, 8 Let q(j) = 4*j**3 + 15*j**2 - j + 13. Let z be q(-4). Let x be z*(-40)/12 + 4. What is f in -4/3*f + x - 2/3*f**4 + 4/3*f**3 + 0*f**2 = 0? -1, 1 Let o(i) be the first derivative of 34/5*i**2 - 177 - 9/20*i**4 - 4/3*i**3 + 16/5*i. Suppose o(h) = 0. Calculate h. -4, -2/9, 2 Find o such that -2960*o**2 - 52555*o + 1730491 - 230797*o - 303627*o + 154879*o - 5*o**3 + 45589 = 0. -298, 4 Let v be (-3)/(7/301*-3). Find u, given that v*u**2 - 5*u**3 - 9*u + 39*u**2 - 88*u**2 + 4*u**3 = 0. -3, 0 Let y(w) be the third derivative of w**8/504 + 4*w**7/315 + w**6/36 + w**5/45 - 1094*w**2. Factor y(d). 2*d**2*(d + 1)**2*(d + 2)/3 Let n(f) be the first derivative of f**7/231 - 3*f**5/110 - f**4/33 - 112*f + 98. Let v(c) be the first derivative of n(c). Solve v(u) = 0 for u. -1, 0, 2 Let w be (-8)/(-28)*7*(-18)/(-324)*27. Factor 0 + 10/17*i - 8/17*i**2 - 2/17*i**w. -2*i*(i - 1)*(i + 5)/17 Let l(j) = 2*j**2 + 12*j + 2. Let f(u) = -3*u**2 - 28*u - 9. Let w(s) = 2*f(s) + 5*l(s). Suppose w(c) = 0. Calculate c. -2, 1 Let d = -1069455 - -1069457. Let 14*s**3 - 14*s + 3/4*s**d - 3 + 9/4*s**4 = 0. Calculate s. -6, -1, -2/9, 1 Suppose 2/13*b**3 + 788/13*b**2 + 78400/13*b + 153664/13 = 0. What is b? -196, -2 Let j(z) be the third derivative of 2*z**2 + 4*z**3 + 79/240*z**6 + 19/30*z**5 + 0 - 25*z - 49/12*z**4 - 1/60*z**7. What is o in j(o) = 0? -2, 2/7, 1, 12 Let q(h) be the first derivative of 1083*h**4/16 + 57*h**3/2 + 27*h**2/8 - 2006. Solve q(k) = 0. -3/19, 0 Let o(q) be the third derivative of q**6/300 - q**5/25 + 2*q**4/15 + 300*q**2. Factor o(v). 2*v*(v - 4)*(v - 2)/5 Factor -106*a - 57*a - 496 + 31 + 20*a**2 + 768*a. 5*(a + 31)*(4*a - 3) Let j(v) = 3*v**4 - 33*v**3 - 53*v**2 + 82*v + 64. Let o(x) = -2*x**4 + 17*x**3 + 27*x**2 - 38*x - 31. Let y(m) = -3*j(m) - 7*o(m). Find g such that y(g) = 0. -1, 1, 5 Let l(k) = -126 + k**2 + 159 - 2*k - 27*k. Let c be l(28). Solve 0*x**2 + 0 + 8/3*x**3 + 2/3*x**c + 0*x + 8/3*x**4 = 0. -2, 0 Factor 2/5*r**3 + 166/5*r + 24 + 48/5*r**2. 2*(r + 1)*(r + 3)*(r + 20)/5 Let -27*y + 1/4*y**5 + 0 - 9*y**2 + 5/2*y**4 + 21/4*y**3 = 0. Calculate y. -6, -3, 0, 2 Let y = -730 - -735. Let j be 2/4*-1*(-1)/y. Factor 1/10*h**3 - 1/10*h**4 + 0*h + 1/10*h**2 + 0 - j*h**5. -h**2*(h - 1)*(h + 1)**2/10 Let m(b) = 12*b**2 + 14*b + 10. Suppose -5*i + 3 = 2*w - 34, 2*w = i + 7. Let o(k) = 4*k**2 + 4*k + 3. Let z(j) = w*m(j) - 20*o(j). Factor z(t). -4*t*(2*t - 1) Let w(r) be the third derivative of 1/18*r**4 + 0 + 0*r**3 + 57*r**2 + 1/45*r**5 + 0*r. Factor w(l). 4*l*(l + 1)/3 Let f(y) be the first derivative of y**4/21 - 4*y**3/7 + 16*y**2/7 + 188*y - 296. Let k(v) be the first derivative of f(v). Solve k(m) = 0 for m. 2, 4 Let f be (2 - 0)/(-2)*2807/(-7). Solve -f*n - 19 + 113*n - 17 + 5*n**2 - 82*n - 339 = 0 for n. -1, 75 Let k = 66 + -74. Let v be (-1)/(-8) - (k - 244/(-32)). Factor 5/4*u - v + 1/4*u**3 - u**2. (u - 2)*(u - 1)**2/4 Determine l, given that -98/3*l**2 + 116/3*l - 40/3 + l**4 + 19/3*l**3 = 0. -10, 2/3, 1, 2 Suppose 21698 = -12*b + 21734. Let x(j) be the first derivative of 12*j + 14 + 1/9*j**b + 2*j**2. Factor x(i). (i + 6)**2/3 Determine s so that 159*s + 510 + 7*s**2 + s**2 + 2*s**2 - 5*s**2 - 44*s = 0. -17, -6 Let i(j) be the first derivative of 14*j**5/5 + 79*j**4/2 - 866*j**3/3 - 655*j**2 - 300*j - 7934. Find c, given that i(c) = 0. -15, -1, -2/7, 5 Let g(u) be the first derivative of 3*u**4/22 - 376*u**3/33 + 303*u**2/11 + 244*u/11 + 1353. Determine w so that g(w) = 0. -1/3, 2, 61 Let y(f) be the third derivative of f**5/135 - 253*f**4/54 + 500*f**3/9 - 4795*f**2. Factor y(g). 4*(g - 250)*(g - 3)/9 Let l(n) be the first derivative of -n**5/30 - n**4/9 + n**3/9 + 2*n**2/3 + 14*n + 67. Let d(k) be the first derivative of l(k). Factor d(c). -2*(c - 1)*(c + 1)*(c + 2)/3 Let f(m) = -6*m - 13. Suppose -9 = -g - 15. Let k be f(g). Determine u so that -k*u - u**3 + 47*u + 4*u**2 - 28*u = 0. 0, 2 Suppose -9*s + 8*s - 2*a = 10, 3*a + 15 = 0. Let t(o) be the second derivative of -2*o + s + 1/4*o**4 + 0*o**2 + 3/2*o**3. Factor t(u). 3*u*(u + 3) Find v such that -2/5*v**4 + 8/5*v**2 + 0 - 1/5*v**5 - 12/5*v + 7/5*v**3 = 0. -3, -2, 0, 1, 2 Let t(x) be the second derivative of -x**6/15 + 53*x**5/20 - 25*x**4/12 - 13*x**3/3 - 6590*x. Factor t(b). -b*(b - 26)*(b - 1)*(2*b + 1) Let j(y) be the first derivative of -y**4/28 + 15*y**3/14 + 24*y**2/7 - 91*y + 293. Let r(c) be the first derivative of j(c). Factor r(t). -3*(t - 16)*(t + 1)/7 Let r(p) be the second derivative of 64*p + 9/5*p**3 + 0 - 1/35*p**7 - 12/25*p**5 - 3/5*p**4 + 6/25*p**6 + 0*p**2. Solve r(s) = 0. -1, 0, 1, 3 Let t(g) be the third derivative of 5*g + 1/5*g**6 - 2/105*g**7 - g**4 - 7/15*g**5 + 0 + 2*g**2 + 16/3*g**3. Let t(c) = 0. What is c? -1, 1, 2, 4 Let g = -822/6245 - -664/1249. Find t, given that 1/5*t**5 + 12/5*t**2 - g*t**3 - 8/5*t + 0 - 3/5*t**4 = 0. -2, 0, 1, 2 Let s be ((-57520)/71900)/(1 - (-11)/(-5)). Find a such that 0 - 2/3*a**4 + 7/3*a**3 - a - s*a**2 = 0. -1/2, 0, 1, 3 Let f(z) = -17*z**2 + 2437*z - 249509. Let x(d) = 25*d**2 - 3656*d + 374272. Let c(j) = 16*f(j) + 11*x(j). Factor c(y). 3*(y - 204)**2 Let m(v) = 9*v**4 - 36*v**3 - 356*v**2 - 215*v - 30. Let y(b) = -18*b**4 + 73*b**3 + 711*b**2 + 432*b + 62. Let x(s) = -5*m(s) - 3*y(s). Factor x(r). (r - 9)*(r + 4)*(3*r + 1)**2 Factor 420*n**4 - 45 - 417*n**4 - 84*n + 10*n**3 - 19*n**2 + 2*n**3 - 6*n**2 - 5*n**2. 3*(n - 3)*(n + 1)
{ "pile_set_name": "DM Mathematics" }
j**3 + j**2 + 2 Let a(c) = 2*c + 2. Let n(q) = q - 1 + 1 + 1. Suppose -3*j - j = 8, 2*b + 4 = 2*j. Let g(h) = -h**2 - 5*h + 2. Let o be g(b). Calculate o*n(t) - 2*a(t). 2*t + 2 Let y(l) = -2*l**3 + 2*l**2 - 9. Let q(i) = 5 + 15*i**2 + i**3 + i**2 - 17*i**2. What is -11*q(f) - 6*y(f)? f**3 - f**2 - 1 Let q(t) = -2*t**3 - 4*t**2 + 2*t. Let s(x) = -11*x**2 + 9*x - 18*x + 9*x - 6*x**3 + 6*x. Calculate -11*q(u) + 4*s(u). -2*u**3 + 2*u Let t(d) = -62*d - 5. Let w(l) = 61*l + 4. Determine 4*t(k) + 5*w(k). 57*k Let y(n) = 3*n**2 - 41 + 4*n**2 + 38 - 3*n. Let u(h) = -8*h**2 + 4*h + 4. Give -3*u(p) - 4*y(p). -4*p**2 Let f(j) = -4 + 1 + 4 - 2. Let o = -4 - -6. Let c(u) = -4*u**2 + 2 + 2*u + 2*u**o + u**2. Calculate -c(i) - 4*f(i). i**2 - 2*i + 2 Let i(k) = -k**3 + 3*k**2 + k + 46. Let s(x) = x**2 + x. Calculate -i(n) + 3*s(n). n**3 + 2*n - 46 Let f(u) = -3*u**3 + 3*u**2 - 4*u. Let q(g) = 2*g**3 - 4*g**2 + 5*g - 1. Determine -5*f(n) - 4*q(n). 7*n**3 + n**2 + 4 Let c = 4 + -2. Let w = 5 - c. Let p(f) = 6*f**2 - 3*f**2 + 2 + 0*f**3 + w*f + 2*f**3. Let t(j) = -6*j**3 - 8*j**2 - 8*j - 5. Determine 8*p(h) + 3*t(h). -2*h**3 + 1 Let l(n) = -2*n**3 - n + 6. Let w(a) = 3*a**3 + a - 7. Give 5*l(o) + 4*w(o). 2*o**3 - o + 2 Let t(q) = 5*q**2 - 4*q - 5. Let h(f) = -8*f**2 - f + 8. Let n(r) = -23*r**2 - 2*r + 23. Let p(v) = -11*h(v) + 4*n(v). What is -3*p(u) - 2*t(u)? 2*u**2 - u - 2 Let z(n) = 3*n + 3. Let u(q) = -3*q - 4. Calculate -4*u(w) - 5*z(w). -3*w + 1 Let j(q) = -q**2 + 3*q. Let m(s) = -2*s**2 + 23*s. Let h(u) = -u**2 + 11*u. Let g(l) = 13*h(l) - 6*m(l). Let d = -4 + 1. Determine d*g(x) + 5*j(x). -2*x**2 Let k(w) = -5*w**2 + 10*w + 15. Let l(s) = -s**2 + 2*s + 3. Determine -2*k(o) + 11*l(o). -o**2 + 2*o + 3 Let u(m) = 2*m**2 + 4*m - 2. Let j(d) = -d**3 + 2*d**2 + 3*d - 2. Determine -4*j(k) + 3*u(k). 4*k**3 - 2*k**2 + 2 Let m(z) = z + 5. Let w be (12/(-10))/(6/(-20)). Suppose -u + 4*o - 2 = 5*o, 0 = -u + w*o + 18. Let q(k) = -1. Give u*m(y) + 9*q(y). 2*y + 1 Suppose -3*c - 2*c - 10 = 0. Let w = 10 + c. Let d = 1 - -2. Let o(y) = -5*y**3 + y**2. Let u(q) = 14*q**3 - 2*q**2. Calculate d*u(s) + w*o(s). 2*s**3 + 2*s**2 Let k(q) = -3*q**2 - q + 1. Let v be k(2). Let b(p) = 3*p**3 + 6*p. Let x(u) = -6*u**3 - 13*u. Determine v*b(d) - 6*x(d). -3*d**3 Let s(x) = 7*x. Let v(u) = -6*u. Let a = -5 + 9. Suppose -k + a*k = -12. Determine k*v(t) - 3*s(t). 3*t Let i(q) be the second derivative of q**3/2 + q**2 - 7*q. Let f(w) = 7*w + 5. Give -2*f(a) + 5*i(a). a Let l(g) = -16 + 5*g**2 + 0*g**2 + g**2. Let w(c) = -1 + 4*c**2 - 6*c**2 + 4 + c**2. Give 2*l(s) + 11*w(s). s**2 + 1 Let i = -1 + 2. Let r(b) = 3*b**2 - b + 1. Let a = 9 + -7. Let y(z) = z + 0*z**2 + z**a - 2*z**2. Calculate i*r(x) + 2*y(x). x**2 + x + 1 Suppose -4*a = 2*t + t + 11, -2*a + t = -7. Let g(c) be the third derivative of -c**3/6 + 2*c**2. Let i(o) = 2*o + 4. Determine a*i(b) + 2*g(b). 2*b + 2 Let g(p) = p + 2*p - 4*p + 1. Let q be (-7)/(-3) + 2/(-6). Let j be (-12)/(-10) + q/(-10). Let w(n) = -7*n + 8. Calculate j*w(d) - 6*g(d). -d + 2 Let h be 51/18 + (-6)/(-36). Let g(t) = -t + 3. Let o(w) = 2*w - 4. Determine h*g(l) + 2*o(l). l + 1 Let q(j) = 0*j - 1 + 4 + 2*j. Let b(h) = -4*h - 7. Let n(g) = 8*g + 14. Let i(t) = -13*b(t) - 6*n(t). Determine 2*i(d) - 5*q(d). -2*d - 1 Let l be ((-10)/(-15))/((-2)/9). Let t be l*20/(-12)*-1. Let z(h) = -3*h + 9*h + 8*h - 6. Let k(f) = -9*f + 4. Give t*z(j) - 8*k(j). 2*j - 2 Let y(k) = -16*k**3 - 5*k**2. Let a(m) = -104*m**3 - 32*m**2. Determine 5*a(p) - 32*y(p). -8*p**3 Suppose 2*g + 15 = -b + g, 0 = b + 2*g + 19. Let z(l) = -20*l**2 + 11*l. Let q(w) = -7*w**2 + 4*w. Calculate b*q(r) + 4*z(r). -3*r**2 Let i(t) = 2*t + 5. Let w(n) = 1. Suppose -2*r + 5*r = -15. Let z = -2 - r. Suppose -z*g + 0*g - 15 = 0. Determine g*w(h) + i(h). 2*h Let x = -19 - -41. Let j(w) = -w**2 + 3*w - 3. Let v(h) = -4*h**2 + 11*h - 11. Determine x*j(a) - 6*v(a). 2*a**2 Let c = -5 - 8. Suppose -2*u = -14 - 0. Let v = -13 + u. Let r(i) = 8*i**3 - 5*i + 1. Let x(g) = -17*g**3 + 11*g - 2. What is c*r(q) + v*x(q)? -2*q**3 - q - 1 Let s(m) = -2*m + 1. Let d(f) = 6 + 2 - 9 - f + 2. Let g be 3/(2 - (2 + -1)). Let z be ((-10)/(-4))/((-1)/2). Give g*s(b) + z*d(b). -b - 2 Let h(o) be the second derivative of -o**3/6 + 4*o. Let f(x) = 2*x**2 - 7*x - 1. Suppose -6*t + 4 = -2*t. Calculate t*f(c) - 6*h(c). 2*c**2 - c - 1 Let d = -14 + 15. Let m(z) = -3*z - 3. Let x(b) = -b. What is d*m(j) - x(j)? -2*j - 3 Suppose 24 = z + 3*z. Let i(k) = 2*k**3 + 11*k - 2. Let m(g) = -3*g**3 - 6*g - 1. Let w(h) = -h**3 - 1. Let y(b) = -m(b) + 2*w(b). Calculate z*i(r) - 11*y(r). r**3 - 1 Let t(g) = -g - 4. Suppose 3*f = f + 34. Suppose 5*m = 3*y - 23, -2*y - 2*m + f + 9 = 0. Let k(l) = y*l - 10*l + 5 - 2. Give -4*k(v) - 3*t(v). -v Let a(i) = i - 1. Let u(k) = k**3 + 9*k - 9. Determine 18*a(r) - 2*u(r). -2*r**3 Let l(o) = o - 3*o - 1 - 8*o. Suppose -3*g + 3*w = -21, 0 = -g - w - 2 - 1. Let h(b) = b. What is g*l(y) + 18*h(y)? -2*y - 2 Let g(l) = -3*l + 4 - l + l. Let h(d) = 12*d - 15. Give 15*g(f) + 4*h(f). 3*f Let k(u) = u - 1. Let c(i) = -5*i + 8. Let a(f) = -5*f + 7. Let y(g) = 4*a(g) - 3*c(g). Let z be ((-4)/(-5))/(4/10). Determine z*y(n) + 9*k(n). -n - 1 Let k(v) = -13*v**2 - 9*v - 9. Let z(j) = -3*j**2 - 2*j - 2. Calculate -4*k(m) + 18*z(m). -2*m**2 Suppose 0 = 6*i - i + 20. Let q(w) = -w + 1. Let d(b) be the third derivative of 0 + 2*b**2 + 0*b + 1/12*b**4 - 1/6*b**3. Give i*q(x) - 3*d(x). -2*x - 1 Suppose -3*c + p = -45, -9 + 3 = 2*p. Let h(i) = i - 6 + 4*i + c. Let t(a) be the third derivative of -3*a**4/8 - 5*a**3/2 - a**2. What is -11*h(d) - 6*t(d)? -d + 2 Let m(g) = -3*g**2 - 5*g - 1. Let q(x) = -x**2 - 1. Calculate m(b) - q(b). -2*b**2 - 5*b Let o(b) = -b**3 + b**2 - 1. Let p(c) = 3*c**3 + 2. Let x be ((-6)/4)/((-21)/28). Suppose 0 = -g - 2 + 3. Give g*p(l) + x*o(l). l**3 + 2*l**2 Let q = -22 + 18. Let v(d) = 3*d**3 + 4*d**2 + 4. Let f(w) = -w**3 - w**2 - 1. Calculate q*f(g) - v(g). g**3 Let i(c) = -5*c - 4. Let v(l) = l**3 + 5*l**2 + 3*l - 3. Let s be v(-3). Let a(h) = 3*h - s*h - 5 - 4*h + h. Calculate 3*a(w) - 4*i(w). 2*w + 1 Let f(g) = -5*g**3 + 13*g**2 + 9*g - 9. Suppose i - 3*i = 36. Let o(v) = 3*v**3 - 3*v**3 - v**3 - 2 + 3*v**2 + 2*v. What is i*o(z) + 4*f(z)? -2*z**3 - 2*z**2 Let m(h) = -14*h**2 + 11*h + 9. Let x(b) = 5*b**2 - 4*b - 3. Determine -6*m(f) - 17*x(f). -f**2 + 2*f - 3 Let b(m) = m. Let q(f) = -f - 1. What is 6*b(w) + q(w)? 5*w - 1 Let h(g) = 8*g**3 - 4*g**2 - 2*g + 10. Let t(v) = -v**3 - 1. What is h(i) + 10*t(i)? -2*i**3 - 4*i**2 - 2*i Let v(j) = 4*j + 101. Let n(f) = -f. What is -6*n(t) - v(t)? 2*t - 101 Suppose 5 = -27*y + 32*y. Let r(o) = o - 1. Let x(g) = 6*g - 10. What is y*x(k) - 5*r(k)? k - 5 Let g(k) = 9*k**3 + 3*k. Let j(n) = 14*n**3 + 5*n. Determine -8*g(y) + 5*j(y). -2*y**3 + y Let r(u) = -u**2 - 10*u - 5. Let o(c) = -c**2 - 9*c - 4. Calculate 5*o(p) - 4*r(p). -p**2 - 5*p Let p(r) = 2*r + 2. Let c be 2/6 + 72/27. Let y(m) = -m. Determine c*y(s) + p(s). -s + 2 Let r(i) = 14*i - 2. Let m(d) be the first derivative of d**2/2 + 3. Let h be 6/4*(-9 + 1). Calculate h*m(y) + r(y). 2*y - 2 Let r(p) be the second derivative of -p**4/3 + p**3/6 + 7*p**2/2 - p. Let k(i) be the third derivative of -i**5/60 + i**3/6 - i**2. Give 6*k(d) - r(d). -2*d**2 - d - 1 Let t(q) = q**2 - 5*q - 1. Let j be t(6). Let b(f) = -6*f - 5. Let m(d) = 5*d + 4. Let g(n) = 14*n + 11. Let a(s) = 2*g(s) - 7*m(s). What is j*b(w) - 4*a(w)? -2*w - 1 Let p(q) = 5*q + 2. Let n(s) = -19*s - 9. What is 2*n(f) + 9*p(f)? 7*f Let a(l) be the first derivative of -2/3*l**3 + 0*l - 7/24*l**4 - 1 - l**2. Let b(o) be the second derivative of a(o). Let x(v) = 3*v + 2. Give 2*b(h) + 5*x(h). h + 2 Let g(m) = 14*m**2 + 84*m. Let v(q) = 5*q**2 + 28*q. Give 3*g(k) - 8*v(k). 2*k**2 + 28*k Let v = 13 + -7. Let w(z) = 2 + 5 - v + 16*z. Let h(f) = f**2 + 6*f - 9. Let c be h(-7). Let j(u) = 3*u. Give c*w(o) + 11*j(o). o - 2 Let n(q) = -18*q. Let s(i) = -i. Determine -n(y) - s(y). 19*y Let c(k) = -k + 9. Let o(h) = -h + 8. Calculate -2*c(u) + 3*o(u). -u + 6 Let q(k) = -8*k**3 + 3*k + 3. Let f(o) = -15*o**3 + 5*o + 5. Determine -3*f(x) + 5*q(x). 5*x**3 Let m(v) = 27*v**2 + 9. Let b(s) = 7*s**2 + 2. Calculate 9*b(q) - 2*m(q). 9*q**2 Let w(u) = -2*u**
{ "pile_set_name": "DM Mathematics" }
prime factors of q. 7, 29 Suppose 2*m = -2*i + 21100, -3*m + 9516 = 4*i - 32679. What are the prime factors of i? 3, 5, 19, 37 Suppose 2*r - 14 = -f, -11*r = -3*f - 6*r - 13. List the prime factors of (4 - 6)/(f/(-302)). 151 Let i = 44 + -53. Let r = -7 - i. Suppose -4*h = -f + 47, 0*f + h - 130 = -r*f. List the prime factors of f. 3, 7 Suppose 5*x = -3*f + 19, 3 = 4*x + 3*f - 11. Suppose 3*l = l + x*v + 1730, -5*l + 4*v = -4291. List the prime factors of l. 3, 5, 19 Suppose 88021 + 340094 = -595*t + 610*t. What are the prime factors of t? 28541 Let n(q) = -q**3 - q**2 - 71*q + 244. List the prime factors of n(-32). 2, 3, 5, 571 Let f(g) = -31*g + 44. Let s = 250 + -256. List the prime factors of f(s). 2, 5, 23 Let m(g) = 101*g - 5405. List the prime factors of m(70). 3, 5, 37 Let q = 109 + -89. Suppose 6*v - q*v = -1260. What are the prime factors of v? 2, 3, 5 Let c(m) = -2489*m**3 - 2*m**2 - 73*m - 142. What are the prime factors of c(-2)? 2, 3, 7, 79 Let b(l) = -13*l - 18. Let a be b(-3). Let z be (a/6)/7*412. Let k = -119 + z. What are the prime factors of k? 3, 29 Let y = 268 + -273. Let x(g) = -3*g**2 - 22*g. List the prime factors of x(y). 5, 7 Suppose u - 84 = -u. Let s = -39 + u. Suppose s*k + 16 = 4*k. What are the prime factors of k? 2 Let a = 47 - 49. Let f be -1*4390 + 16/(-7 + 3). List the prime factors of f/(-52) + a/4. 2, 3, 7 Let u(p) = 6*p**2 - 54*p + 33. What are the prime factors of u(-11)? 3, 11, 41 Let r(p) = p**3 - 16*p**2 + 26*p + 17. Let n = 20 - 5. Let g be r(n). Suppose -5*y + 3*y + g = 0. What are the prime factors of y? 7, 13 Suppose 5*k - 2160 = -21*j + 19*j, -2*j = 2*k - 858. Let m = k + 100. What are the prime factors of m? 2, 3, 89 Suppose -2*w - 836*g + 838*g + 14614 = 0, 0 = 2*w - g - 14618. What are the prime factors of w? 3, 2437 Let h be (3/4)/((-10)/(-120)). Let l(n) = -53 - n + h*n + 2*n. What are the prime factors of l(6)? 7 Let j(i) = 7 - 6 - 22 + 5*i. Let w be j(5). Suppose 10 = -2*v - 0*v, v = w*n - 385. What are the prime factors of n? 5, 19 What are the prime factors of -14*272/(-357)*(74250/(-8))/(-5)? 2, 3, 5, 11 Let n be -48*((-4)/22 - (-39)/33). Suppose 5*s + 5*f = 55, 2*s - f - f = 18. Let h = s - n. What are the prime factors of h? 2, 29 Let w(l) = -35*l**3 - 2*l**2 + 34*l + 82. What are the prime factors of w(-3)? 907 Let y = -368 - -1478. Suppose 3*d - 2*x - y = 0, 2*d + 3*x + 0*x = 753. List the prime factors of d. 2, 3, 31 Suppose -2*q = 5*j - 10, 0 = -2*q + 3*j - 6. Let r be 2/2*-1*q. Suppose 2*a + 32 + 23 = 5*k, r = 3*a - 15. List the prime factors of k. 13 Suppose -20840 + 170202 = 23*h. List the prime factors of h. 2, 17, 191 Let n = -13523 - -19466. What are the prime factors of n? 3, 7, 283 Suppose -r = -4*j - 13433, -5*j = 39 - 34. List the prime factors of r. 13, 1033 Let y = 231 - 227. Suppose y*k = k + 2454. What are the prime factors of k? 2, 409 Let m(z) = -520*z - 1592. What are the prime factors of m(-64)? 2, 17, 233 Let z(v) = -v**3 - 12*v**2 + 2*v - 5. Let k be z(-9). Let w be 3/(2/4*9/(-21)). List the prime factors of k/w*1*4. 2, 19 Let x(a) be the first derivative of -a**4/4 - a**3/3 + a**2 + 7*a + 64. What are the prime factors of x(-2)? 7 Suppose -5*d + 10 = -0. Let n(h) = -h**3 - 16 + 89*h**d - 20*h + 93*h**2 - 192*h**2. What are the prime factors of n(-10)? 2, 23 Let u(c) be the second derivative of c**5/20 + 5*c**4/6 + 13*c**3/6 + 11*c**2 + 8*c. Let l be u(-9). List the prime factors of l/(-21)*474/4. 79 Let y be (8/((-32)/(-6)))/((-6)/(-556)). Suppose 1693 = 2*t + y. Suppose t = 4*r + 181. What are the prime factors of r? 149 Suppose -41*x = -31*x - 1220. Suppose -f = -253 - x. What are the prime factors of f? 3, 5 Suppose 5*p + 714 = -5*h - 481, -2*p = -h - 242. Let y = h + 344. What are the prime factors of y? 2, 13 Let x(b) = -32*b - 16 - 45*b + 91*b - 37*b. List the prime factors of x(-30). 2, 337 Suppose -12 = -2*f - 4*o, 4*f + 0 = 3*o + 2. Suppose -320 = g - 3*g + f*k, -4*g + 638 = -5*k. Suppose 9*w = 10*w - g. What are the prime factors of w? 2, 3 Let m(r) = -33*r + 56. Let s be (-2)/10*-4 - (-6216)/(-370). What are the prime factors of m(s)? 2, 73 Let r = 294 - 162. Let q = r + -124. What are the prime factors of q? 2 Let v(s) = 94*s**3 - 6*s**2 - 5*s + 7. Let d be v(3). Suppose -1460 = -3*r + d. List the prime factors of r. 2, 41 Suppose 5*p - 4*o = 44, -8*o = p - 11*o. Suppose 2*y = -p*y + 16156. List the prime factors of y. 2, 577 Suppose 4*w - 13 + 967 = 3*g, 4*g + 8*w = 1192. What are the prime factors of g? 2, 5, 31 Let q = -2354 + 13060. List the prime factors of q. 2, 53, 101 Suppose -254 = 8*y + 258. Let d = y - -104. What are the prime factors of d? 2, 5 Suppose 5*w = 5*d + 55, 0*w - 5*d = -w + 7. Let n(h) = 2 + 1 + 13*h + 4 - w. What are the prime factors of n(12)? 151 Suppose -11*y = -10*y - 4*b - 5104, 5*y = 3*b + 25384. List the prime factors of y. 2, 317 Suppose -2*t - 33950 = -k, -2*k + 2*t + 27824 + 40076 = 0. List the prime factors of k. 2, 5, 7, 97 Let u(h) = h**2 + 7*h - 37. Suppose -2*d = -0 - 10. Let y be -15*-5*((-16)/d + 3). List the prime factors of u(y). 83 Suppose 3*t - 9*t = 13*t. Suppose -17*j - 3510 = -21*j + 2*m, -4*j - 4*m + 3504 = t. What are the prime factors of j? 877 Let f(s) = s**3 + 9*s**2 + 3*s - 5. Let c = -6 - 2. Let b be f(c). Suppose 2*p = x - 2*p + 1, x = -5*p + b. List the prime factors of x. 3, 5 Let z(y) be the first derivative of y**2/2 - y + 26. Let h be z(3). Suppose 11*i = h*i + 2250. List the prime factors of i. 2, 5 Suppose -3*z + 2*q = 8, -2*z + 3*q - 5*q = -8. Suppose -7*g + 588 = -3*g. Suppose z = -5*j + 23 + g. List the prime factors of j. 2, 17 Let q(u) = -4*u - 15. Let m be q(-5). Suppose 0 = m*k + 4*n + 1701, -3*k - 1031 = -0*k + 5*n. Let x = -202 - k. List the prime factors of x. 3, 5 Let p = 99 - -43. Let t = -130 + p. Suppose -5*s - 4*q = -167, -t*s + 2*q + 144 = -8*s. What are the prime factors of s? 5, 7 Let l(n) = 2*n**3 - 7*n**2 - 8*n. Let o be l(6). Let j(c) = 5*c**2 + 148*c + 353. Let u be j(-27). Suppose -u*g + 50 = -o. List the prime factors of g. 7, 13 Let p(b) = 131 - 33*b - 26*b - b**3 + b**2 + 58*b. What are the prime factors of p(0)? 131 Let w = 10586 + -3700. What are the prime factors of w? 2, 11, 313 Let q(i) = 68*i - 272. Suppose 5*b + 3*u - 126 = 0, -2*b - 3*u = -2*u - 50. List the prime factors of q(b). 2, 5, 17 Let n be 3*(4 - (-7)/(-3)). Suppose -n*s - k = -0*s - 825, -3*s + k + 503 = 0. Suppose 3*l - s = -5*f, -3*l = -3*f - 221 + 47. List the prime factors of l. 3, 19 Let l(z) = 280*z - 1105. List the prime factors of l(14). 5, 563 Let q be 1748/(-23)*2/(-4). Suppose 0 = 12*l - q*l + 2704. List the prime factors of l. 2, 13 Let x be (-14)/84 - 10009*(-2)/12. Suppose 0 = -27*w + 33*w - x. What are the prime factors of w? 2, 139 Let m = 127 + -124. Suppose 2*c - m*v - 8 = 0, 9 = c + 5*v - 4*v. Let w(s) = 6*s**2 - 6*s + 18. List the prime factors of w(c). 2, 3, 5 Let l(x) = -4*x**2 + 2*x - 8. Let d be l(-2). List the prime factors of -216*(77/d - -1). 2, 3, 7 Let n(z) = 82*z**2 + 13*z - 210. List the prime factors of n(7). 7, 557 Suppose 5*k - 28 = -3. Let i(a) = 2*a**3 - 8*a**2 + 5*a - 10. Let n be i(k). Suppose -p + b + n = 0, -2*p + b - 29 + 158 = 0. What are the prime factors of p? 2 Let s = 8105 + 1838. List the prime factors of s. 61, 163 Suppose 102724 = 4*r - 32*k + 7*k, -5*k = -2*r + 51332. What are the prime factors of r? 2, 3, 1069 Suppose -y - 4 = -5*o + 27, o - 4*y = 10. Let k(z) = -9*z + 10. Let t be k(o). Let s = 79 + t. List the prime factors of s. 5, 7 Let f(w) = -16*w - 8. Let j be f(-4). Let l = j - 54. Let t(v) = 22*v**2 - 6*v + 3. List the prime factors of t(l). 79 Suppose -w = -8*w - 56. Let f be (-2)/1*2148/w. Suppose 3*x = f + 234. What are the prime factors of x? 257 Let u(q) = 29*q + 290. Let k be u(-10). Suppose c - 3*y + 12 = k, 15*c + 4*y - 23 = 14*c. List the prime factors of c. 3 Let c = 16141 - 9199. What are the prime factors of c? 2, 3, 13, 89 Let c(o) = -5*o**2 + 3*o**3 - 4*o**3 + 11 + 0*o + 4*o + 3*o. Let a be c(-6). List the prime factors of 1/a - 164/(-5). 3, 11 Let t = 330 - 164. Let b = t - 157. What are the prime factors of b? 3 Let s = 384 - -151. Let a = 342 + s. What are the prime factors of a? 877 Suppose 3*u = -u + 152. Suppo
{ "pile_set_name": "DM Mathematics" }
a(h) = -h**3 - 11*h**2 - 14*h - 2. Determine a(-10). 38 Let l(f) = -f**2 + 10*f + 4. Calculate l(8). 20 Let j(r) = 49*r + 838. Determine j(-17). 5 Let c(k) = k**3 + 4*k**2 - 9*k - 3. What is c(-7)? -87 Let h(q) = 5*q**2 - 6. Give h(4). 74 Let v(u) = -u**3 + 13*u**2 + 4*u - 40. Calculate v(13). 12 Let l(q) = 2*q**2 + 6*q - 6. What is l(-6)? 30 Let z(h) = -h**2 + 13*h - 2. Calculate z(13). -2 Let h(t) = -t + 25. Determine h(19). 6 Let t(s) = s**3 + 6*s**2 - 4*s + 9. What is t(-7)? -12 Let f(r) = -3*r + 5. What is f(3)? -4 Let i(d) = -d**3 + 25*d**2 + 49*d - 6. What is i(-2)? 4 Let b(k) = -2*k + 9. Determine b(0). 9 Let j(q) = q**2 - 20*q - 306. Determine j(-10). -6 Let y(u) = 3*u**2 - 15*u. Calculate y(5). 0 Let t(n) = -13*n + 8. What is t(4)? -44 Let b(d) = -3*d**2 + 14*d + 3. What is b(6)? -21 Let v(t) = -t**3 + 5*t**2 - t + 5. Calculate v(5). 0 Let y(b) = 10*b - 26. Determine y(7). 44 Let r(j) = -j**2 - 6*j + 4. Determine r(-4). 12 Let b(g) = 2*g**3 + 21*g**2 + 51*g - 1. Give b(-6). 17 Let a(d) = 7*d + 18. Give a(4). 46 Let m(q) = -4*q + 1. Give m(-6). 25 Let m(q) = -q**3 - 9*q**2 - 2. What is m(-9)? -2 Let b(a) = -a**3 + a**2 + a - 18. What is b(0)? -18 Let c(m) = -11*m - 25. Calculate c(9). -124 Let l(d) = -4*d + 4. Determine l(5). -16 Let h(m) = m**3 + 13*m**2 + 11*m - 12. Determine h(-12). 0 Let n(t) = 27*t - 30. Calculate n(4). 78 Let q(v) = -v**3 + 5*v**2 + 7*v - 6. Determine q(5). 29 Let i(t) = t - 47. What is i(16)? -31 Let x(g) = -2*g**2 - g + 3. Determine x(-4). -25 Let v(r) = 3*r + 18. What is v(-10)? -12 Let j(y) = -2*y**2 - 12*y + 20. Determine j(-8). -12 Let v(u) = u**3 - 29*u**2 - 62*u + 4. Give v(31). 4 Let q(v) = 8*v + 128. Give q(-17). -8 Let s(h) = h**3 + 6*h**2 + 5*h + 43. What is s(-7)? -41 Let a(d) = d**3 + 3*d**2 - 2*d - 6. Determine a(-4). -14 Let s(k) = -k**3 - 6*k**2 + 17*k + 2. Give s(-8). -6 Let i(s) = s**2 - 4*s + 6. What is i(4)? 6 Let t(n) = -2*n**3 + 36*n**2 - 34*n + 19. What is t(17)? 19 Let n(q) = q**3 - 13*q**2 + 24*q - 28. Determine n(11). -6 Let l(q) = 5*q + 15. What is l(7)? 50 Let p(t) = -3*t**3 + 36*t**2 - 3*t + 26. Give p(12). -10 Let v(j) = -2*j**3 - 37*j**2 + 22*j + 55. Determine v(-19). -2 Let m(o) = -o**2 - 2*o + 3. Give m(-3). 0 Let x(d) = 80*d - 314. Calculate x(4). 6 Let v(n) = -2*n**2 - 25*n + 18. Calculate v(-13). 5 Let h(y) = 8*y**2 - 4*y + 3. Give h(2). 27 Let i(l) = l + 20. Give i(13). 33 Let o(p) = p**3 + 2*p**2 + p + 16. Calculate o(0). 16 Let h(u) = u**3 - 3*u**2 - 9*u - 5. What is h(5)? 0 Let g(x) = 7*x - 78. Determine g(12). 6 Let c(j) = -2*j + 13. Give c(8). -3 Let o(c) = -c - 15. Calculate o(-6). -9 Let a(y) = -y**3 + y**2 + 1. What is a(-3)? 37 Let v(s) = s**3 - 16*s**2 - 3*s + 13. What is v(16)? -35 Let g(z) = z**2 + 2*z - 43. What is g(0)? -43 Let j(d) = 3*d**2 - 3*d - 9. Give j(5). 51 Let i(z) = 6*z**2 - 54*z - 41. Give i(10). 19 Let m(p) = 6*p - 1. Give m(5). 29 Let w(y) = -5*y - 30. Determine w(-7). 5 Let t(x) = 92*x - 1475. Give t(16). -3 Let g(x) = x**3 + 6*x**2 - 9*x - 2. Calculate g(-7). 12 Let i(y) = -y**2 - 11*y + 50. Determine i(-14). 8 Let u(h) = -7*h**2 + 2*h. What is u(1)? -5 Let u(x) = -x**3 - 23*x**2 - x - 22. Determine u(-23). 1 Let k(i) = 7*i**3 + 3*i**2 - 2*i - 1. Calculate k(1). 7 Let h(m) = -2*m**3 + 13*m**2 - 8*m + 1. Calculate h(6). -11 Let y(h) = 2*h**2 + 27*h + 8. What is y(-13)? -5 Let n(j) = 4*j**2 + 5*j - 3. What is n(1)? 6 Let p(d) = d**2 + 14*d + 42. Give p(-9). -3 Let t(q) = -q**2 + 4*q. Give t(7). -21 Let u(p) = p**2 - 11*p - 29. Calculate u(14). 13 Let v(c) = c**2 - 4*c + 9. What is v(3)? 6 Let g(h) = -h**3 + 5*h**2 - 6*h + 3. Calculate g(5). -27 Let s(l) = -11*l + 183. Calculate s(17). -4 Let b(v) = -3*v**2 - 6*v + 4. What is b(-3)? -5 Let r(t) = -t**2 - 9*t + 28. Calculate r(8). -108 Let l(d) = d**3 - 8*d**2 - 3*d + 4. What is l(8)? -20 Let b(q) = -2*q**3 - 88*q**2 - 87*q - 51. Give b(-43). -8 Let m(f) = 4*f**2 - 2*f - 3. What is m(3)? 27 Let j(h) = h**3 + 7*h**2 + h - 23. Determine j(-6). 7 Let w(b) = 27*b**3 - 2*b**2 - 4*b - 2. What is w(-1)? -27 Let b(m) = m**2 - 5*m - 16. Give b(11). 50 Let i(s) = 2*s + 19. What is i(19)? 57 Let y(v) = v**2 - 7*v - 4. Calculate y(7). -4 Let m(q) = -16*q + 7. Give m(1). -9 Let h(u) = 16*u**3 - u**2 - 3*u - 1. Give h(-1). -15 Let n(i) = i**3 + 2*i**2 - 10*i - 6. Give n(-4). 2 Let j(t) = -t**3 - 12*t**2 + 10*t - 45. Determine j(-13). -6 Let j(t) = t**2 - 1. Determine j(-5). 24 Let d(w) = -5*w + 10. Determine d(5). -15 Let q(l) = -l**2 + 24*l + 48. Determine q(26). -4 Let v(f) = -2*f**2 - 13*f + 25. Calculate v(-8). 1 Let n(j) = -2*j**3 - j**2 + j - 3. What is n(2)? -21 Let q(x) = x**3 + 9*x**2 + 3*x - 19. Give q(-9). -46 Let q(f) = -2*f**3 + 21*f**2 - 5*f - 5. Calculate q(10). 45 Let q(f) = 9*f + 23. What is q(-7)? -40 Let c(p) = -p**2 + p + 3. Give c(5). -17 Let b(w) = w**3 - w + 6. Calculate b(0). 6 Let v(d) = -8*d - 21. What is v(10)? -101 Let c(d) = -16*d**3 + 2*d**2 - d - 3. Determine c(2). -125 Let k(l) = -l**3 + 21*l**2 + l - 20. Determine k(21). 1 Let j(h) = h - 15. Give j(-16). -31 Let p(y) = -4*y**2 + 3*y - 3. Calculate p(2). -13 Let o(q) = -2*q**2 - 9*q. What is o(-4)? 4 Let v(c) = 5*c + 67. Calculate v(-10). 17 Let c(x) = -2*x - 12. Determine c(-5). -2 Let q(f) = -4*f - 2. Give q(-3). 10 Let c(z) = 3*z**2 - 3*z - 1. Calculate c(-1). 5 Let f(g) = -2*g + 23. What is f(8)? 7 Let r(x) = -x**2 + 10*x. Calculate r(4). 24 Let x(l) = -l**3 - 9*l**2 + 3*l + 12. Give x(-9). -15 Let v(f) = -52*f**3 - f**2 - 5*f - 4. What is v(-1)? 52 Let u(x) = -x**3 - 3*x**2 + 5*x + 6. What is u(-5)? 31 Let j(h) = 2*h**3 - 5*h**2 - 5. Calculate j(3). 4 Let v(a) = -6*a + 78. Calculate v(14). -6 Let p(u) = 2*u - 19. Give p(10). 1 Let f(u) = -u**3 - 8*u**2 - 9*u - 2. Calculate f(-7). 12 Let t(p) = -p**3 + 22*p**2 + 25*p - 47. Calculate t(23). -1 Let k(u) = 7*u**2 - 95*u - 96. Calculate k(-1). 6 Let t(y) = 14*y - 82. Calculate t(5). -12 Let q(m) = -22*m - 26. Determine q(-2). 18 Let k(z) = z**2 + 13*z + 34. What is k(-9)? -2 Let t(z) = 2*z**3 - 12*z**2 + z + 1. Determine t(6). 7 Let f(d) = -d**3 - 4*d**2 - d - 4. Give f(-4). 0 Let z(p) = -p**3 + 10*p**2 + 25*p + 1. Give z(12). 13 Let p(g) = g**2 + 2*g - 4. Give p(4). 20 Let p(w) = 9*w - 7. Give p(6). 47 Let s(z) = z**3 + 3*z**2 - 13*z - 6. What is s(-5)? 9 Let a(l) = l**2 - 16*l + 21. Determine a(14). -7 Let g(o) = -o**2 - 6. What is g(-6)? -42 Let x(v) = -10*v**3 - 2*v**2 - v + 1. Give x(-1). 10 Let v(o) = -o**2 - 5*o - 10. Give v(-3). -4 Let g(l) = -l**2 - 5*l - 4. Determine g(-9). -40 Let l(m) = -m**2 + 3*m - 17. Determine l(5). -27 Let j(k) = -42*k - 533. Calculate j(-13). 13 Let w(l) = 10*l + 39. Give w(-4). -1 Let a(d) = -d**2 - 10*d - 2. Give a(-8). 14 Let f(c) = c**3 + 9*c**2 + 10*c + 19. Determine f(-8). 3 Let j(o) = 3*o + 36. Calculate j(-13). -3 Let c(y) = y**2 - 17*y - 116. Determine c(23). 22 Let s(u) = -3*u**2 + 32*u - 43. Determine s(8). 21 Let h(r) = 2*r**2 + 19*r - 87. Calculate h(4). 21 Let h(w) = 4*w**3 + w**2 - 5*w + 5. Calculate h(1). 5 Let a(k) = -k**2 + 8*k - 21. Determine a(4). -5 Let l(r) = -r**3 + 18*r**2 + 20*r - 44. Calculate l(19). -25 Let n(y) = -22*y - 48. What is n(-3)? 18 Let b(i) = i**3 - 6*i**2 + 5*i - 4. What is b(5)? -4 Let a(f) = -f**3 - 9*f**2 - 8*f + 5. What is a(-8)? 5 Let u(v) = 2*v + 16. Give u(-11). -6 Let l(o) = 6*o + 26. What is l(-6)? -10 Let x(v) = v**2 - 9*v + 11. Give x(8). 3 Let m(g) = 19*g - 18. Determine m(1). 1 Let m(g) = g**3 + 2*g**2 - 4*g - 4. Give m(-2). 4 Let k(y) = -y**2 + 2*y - 2. Calculate k(-3). -17 Let t(h) = -h**3 - 4*h**2 - 5*h - 4. Give t(-2). -2 Let b(g) = -5*g + 48. Calculate b(5). 23 Let m(n) = 3*n + 3. Determine m(-6). -15 Let o(j) = -j**2 + 18*j + 5. Give o(11). 82 Let j(v) = -v**2 - v - 3. Determine j(-3). -9 Let q(p) = 3*p + 50. Give q(-9). 23 Let u(m) = -5*m**2 - 5*m - 1. Give u(0). -1 Let b(r) = -r**3 - r**2 + 3*r - 6. Calculate b(0). -6 Let m(v) = 2*v + 47. Calculate m(-22). 3 Let i(k) = 11*k**3 + k - 2. What is i(1)? 10 Let m(w) = -2*w**3 + 3*w - 4. Give m(-3). 41 Let o(i) = -i**3 - 6*i**2 - 6*i - 17. Calculate o(-4). -25 Let h(i) = -66*i**2 - 16*i - 1. Determine h(-1). -51 Let z(a) = -8*a**2 - 15*a - 7. Give z(-1). 0 Let s(l) = l**2 + 8*l - 9. Determine s(-8). -9 Let a(w) = -w**2 + 1. What is a(5)?
{ "pile_set_name": "DM Mathematics" }
60))/((4 - 2)/20). Suppose -f*l + 25 + 479 = 0. What is the remainder when 277 is divided by l? 25 Let i(z) = -z**3 + 6*z**2 - 10*z + 8. Let n be i(3). Suppose 2*l - n*y = 49, 3*y = 3*l - 50 - 10. What is the remainder when 67 is divided by l? 16 Let y = 60 + 126. Calculate the remainder when y is divided by 39 + 13/(39/24). 45 Let b = 31 + -63. Calculate the remainder when 21 + -24 - (b + 1) is divided by (-2 + -1)/(14/((-1694)/33)). 6 Suppose -51*a + 90*a + 59*a = 2156. Calculate the remainder when 4001 is divided by a. 19 Let y = -119 - -307. Let d = y + -155. Calculate the remainder when 261 is divided by d. 30 Let u(a) = 2*a**3 - 3*a**2 + 2*a + 405. Let q be u(0). Let v = -385 + q. Calculate the remainder when v is divided by 4/18 + 212/18. 8 Let q(t) = -t**2 + 6*t + 32. Let y = 45 + -21. Suppose -5*g = 5*m - 20, -2*m + 5 + y = -5*g. What is the remainder when q(7) is divided by m? 4 Suppose 3*b + 205*j = 201*j + 1159, -8 = 4*j. Calculate the remainder when b is divided by 76. 9 Suppose -35615 = -43*s - 75*s + 33*s. What is the remainder when s is divided by 97? 31 Let h = -357 + -37. Let w = h + 437. Calculate the remainder when 147 is divided by w. 18 What is the remainder when 568 is divided by 14/665*-5 + (-3120)/(-38)? 76 Suppose 538*a = 519*a + 418. Calculate the remainder when 2/(-1 + 3) + 100 is divided by a. 13 Suppose 3336*b - 3328*b - 152 = 0. Suppose -n - n = 2*x - 120, 4*x - n - 225 = 0. Calculate the remainder when x is divided by b. 0 Let m(q) = 113*q - 3. Suppose c - 1 = 6*c + 2*x, -3*x = 3*c + 6. Let h be m(c). Suppose 2*w - 456 = -h. Calculate the remainder when w is divided by 25. 23 Suppose -4*q = -2*f + 4*f + 88, -5*q - 3*f = 108. Let g = q + 104. Calculate the remainder when g is divided by 23. 11 Let y(u) = -u**2 + 31*u + 31. Suppose 19*v + 122 = 21*v. What is the remainder when y(25) is divided by v? 59 Suppose -1376 = -5*t - 3*t. Calculate the remainder when t is divided by (-6)/(-10) + (-11176)/(-440). 16 Let k(s) be the first derivative of s**3 + 15*s**2/2 + 10*s + 69. What is the remainder when 28 is divided by k(-5)? 8 Let p be 10*((-2)/(-4) - (-15 + 15)). Suppose p*c = 188 - 68. Suppose -h = h - c. Calculate the remainder when 31 is divided by h. 7 Let d = 15 + -9. Suppose -2*c = 3*s + 35, c + 14 + d = -4*s. What is the remainder when 57 is divided by (c/(-10))/(12/90)? 9 Let g be (0 - -4)*(-5)/(-4). Suppose 0 = -0*m - g*m, 5*m - 351 = -3*h. Suppose -54*i - 2561 = -397*i + 11159. Calculate the remainder when h is divided by i. 37 What is the remainder when (-2)/11 + ((-12519)/52)/((-121)/176) is divided by 8? 6 Let j = -1084 + 1110. What is the remainder when 309 is divided by j? 23 Let c = 15828 - 10397. What is the remainder when c is divided by 22? 19 Suppose 0 = 2*c - 12 + 6, -5*t = -c - 22. What is the remainder when 6157 is divided by t? 2 Suppose -6*y + 2*z + 14 = -4*y, 2*y - 3*z - 10 = 0. Let s(u) = 27*u - 2. Calculate the remainder when s(2) is divided by y. 8 Let w(c) = 18*c + 8. Let a = -7 - -9. Let d be w(a). Suppose -t + d = -44. Calculate the remainder when t is divided by 18. 16 Let o = -91 + 96. Suppose -4*h + 252 = o*h. Calculate the remainder when 80 is divided by h. 24 Suppose -5*o = 2*n + 2*n - 20, 3*n = -3*o + 15. Suppose 0 = 2*q - 5*i - 103, 19 = q - n*i - 45. What is the remainder when q is divided by 14? 11 Suppose 12 = -9*p + 3*p. Suppose 5*x - 41 = 54. Calculate the remainder when (111/p)/(-3)*2 is divided by x. 18 Let x = -24 - -22. Let s(u) = -5*u - 10. Let r be s(x). Suppose -2*b = -5*y - 48, 5*b = y - r*y + 166. Calculate the remainder when 129 is divided by b. 27 Let a(z) = 8*z + 2. Suppose w + 3*j + 12 = 3, 2*w = -2*j - 14. Calculate the remainder when (-4 - -11 - 4)*(-200)/w is divided by a(4). 32 Let n(m) = 65*m + 2700. What is the remainder when 3008 is divided by n(-41)? 33 Let f = -11 - -8. Let l = -56 + 52. Calculate the remainder when 8/f*(l - 205/20) is divided by 21. 17 Let v = 12460 - 12298. What is the remainder when v is divided by 59? 44 Let t(d) = d**2 + 3*d - 718. What is the remainder when 322 is divided by t(-31)? 22 Let m(l) = -l**2 + 3*l + 18. Let i be m(5). Suppose h + 553 = i*h. Let t = 32 - 23. Calculate the remainder when h is divided by t. 7 Let s be (15/(-10))/(((-21)/30)/(-7)). Let v(j) = -j**3 - 17*j**2 - 32*j - 18. Suppose -3*d - 2*d + 35 = 0. What is the remainder when v(s) is divided by d? 5 Calculate the remainder when (-18328)/(-237) + 22/6 is divided by 8. 1 Let v(o) = 3*o**3 - 136*o**2 - 223*o + 16. What is the remainder when v(47) is divided by 188? 16 Calculate the remainder when 873 is divided by -9 + -5 + 228/4 + 8. 6 Let t(o) = -7*o**3 + o**2 - 100*o - 100. What is the remainder when t(-1) is divided by (2 - -3) + 3*-1? 0 Suppose -3*j - 2*p - 50 = 0, 18 + 74 = -5*j + p. What is the remainder when 26*((-22)/(-14) + (-3)/(-7)) is divided by j/(2 - (8 + -4))? 7 Suppose 51 + 5 = -8*r. Suppose -n - 4*j = -44, 5*j - j = 12. What is the remainder when 38*(2 - (r/2 - -3)) is divided by n? 31 Let h(q) = -5*q - 7. Suppose -29*v + 41 + 2540 = 0. Calculate the remainder when v is divided by h(-6). 20 Suppose 3*t + 48*c - 44*c + 80 = 0, -5*t + 5*c = 110. Let r be (-33)/4 + (-1)/(-4). Let q = r - t. Calculate the remainder when 41 is divided by q. 9 Let d(x) = 37*x**2 + 215*x + 1. Suppose 0 = 4*y - 3*z + 6 + 9, y - 20 = -4*z. Let n = 16 - y. Calculate the remainder when d(-6) is divided by n. 11 Suppose 0 = 4*d + 2*v - 62, 5*d + 86 - 163 = -3*v. Suppose -23*t + 1088 = -1672. Calculate the remainder when t is divided by d. 8 Let i be (14/(-28))/((-3)/24). Suppose 0 = 5*r - i*d - 43, 3*r + 5*d = 3*d + 39. What is the remainder when r is divided by ((-4)/6)/(6/(-45))? 1 Suppose -p + 5*y + 375 = -499, -25 = -5*y. What is the remainder when p is divided by 22? 19 Let j(x) = -141*x**3 + 9*x**2 - 23*x - 30. What is the remainder when j(-1) is divided by 38? 29 Suppose 124 = 3*f + m, -37*f + 39*f + 5*m = 87. Calculate the remainder when 4877 is divided by f. 39 Let i(g) = -927*g**2 - 7439*g - 14. Calculate the remainder when 172 is divided by i(-8). 2 Suppose -j + 5*s + 1219 = 0, 5*s - 129 + 2537 = 2*j. Calculate the remainder when j is divided by 590. 9 Let v(s) be the second derivative of -41*s - 1/6*s**3 + 4*s**2 + 0. What is the remainder when v(-4) is divided by 8? 4 Let c(f) be the second derivative of 1/12*f**4 + 0 + 1/6*f**3 + 5*f**2 - 14*f. Calculate the remainder when c(-8) is divided by 35. 31 Suppose 4452 = 36*g - 31*g - t, -3*g - 4*t + 2685 = 0. Calculate the remainder when g is divided by 296. 3 Let l(i) = 5*i + 345. Let y(v) = -v + 29. What is the remainder when y(0) is divided by l(-65)? 9 Let o = 41 + -95. Let q = 30 + o. Let n = 49 + q. What is the remainder when 48 is divided by n? 23 Let m(f) = -28*f. What is the remainder when m(-6) is divided by ((-2034)/(-72) - 7)/((-10)/(-16))? 32 Let n(m) = 2*m**2 - 487*m - 5419. Suppose -d - 248 = -5*d. Calculate the remainder when n(-11) is divided by d. 56 Suppose 5*y = 4*s + 161, 5*y - 24*s - 165 = -19*s. What is the remainder when y is divided by 13? 3 Suppose -4*p - 5*s + 1396 = -1693, -p = 4*s - 786. Suppose 6*d = 794 + p. What is the remainder when d is divided by 11? 7 Let p be 3*((-10)/(-15))/(4/6). Suppose r + p*f + 3 - 2 = 0, -2*r + 14 = -2*f. Suppose r*v = 217 + 13. What is the remainder when v is divided by 12? 10 Let t(s) = -8*s + 331. Calculate the remainder when 6369 is divided by t(30). 90 Let o be 1 + (7/14)/((-4)/16). Calculate the remainder when (o - 4) + -4 + 4 + 347 is divided by 49. 48 Suppose -3*a = 2*a + 3*d - 50, 3*a - 30 = 5*d. Suppose 0 = -2*k - 44 + a. Let g = 27 + k. What is the remainder when g is divided by 5? 0 Suppose -t - 2*u = -122, -3*u + 129 = t - 0*u. Calculate the remainder when 108 is divided by t. 0 Let x be (-16)/(-3) - 12/9. Suppose 2*q = -0*q + x. Suppose -2*i = -3*s - 53, q*i - 2*s + s - 43 = 0. What is the remainder when i is divided by 10? 9 Suppose 0 = 4*t - 71 - 73. Suppose -3121 = -28*b + 1492 + 1351. Calculate the remainder when b is divided by t. 33 Let y(f) = -23*f - 678. What is the remainder when 124 is divided by y(-30)? 4 Let u be 146/(-30) + 5 + 17/(-15). Calculate the remainder when 461 is divided by u*(1 - -7)*(54 + -56). 13 Suppose -6*c
{ "pile_set_name": "DM Mathematics" }
u(d). -6 Let h(y) = 4*y - 1. Let w(i) = 4*i - 1. Suppose 3*b - 4 = 11. Let p(a) = b*h(a) - 6*w(a). What is p(-2)? 9 Let v(g) be the second derivative of g**3/6 - 3*g**2 + 3*g. Determine v(5). -1 Suppose -4*v + 3*v = -2. Let c(y) = -y**3 - y. Determine c(v). -10 Let r(q) be the third derivative of q**8/6720 + q**7/420 + q**6/144 - q**5/20 + q**4/24 - 4*q**2. Let v(c) be the second derivative of r(c). Calculate v(-5). -6 Suppose 3 = 4*i + 2*x - 3, 10 = 4*i - 2*x. Let k be -2 - (i - 2) - -6. Let m(f) = -k - 2*f + 5*f - 2*f. What is m(5)? 1 Let k(r) be the second derivative of -r**5/120 + r**4/6 - 4*r**3/3 - r. Let q(c) be the second derivative of k(c). Give q(5). -1 Let p be (12/10)/((-12)/(-40)). Let k(r) = -p + 2*r**2 - 2*r - r + 5. Give k(2). 3 Suppose -2*o + 10 = -14. Suppose 0*d + 3*d = -o. Let g = -2 - d. Let y(a) = -a**2 - a + 1. Calculate y(g). -5 Let h(j) be the first derivative of -j**4/4 - j**2/2 + 2*j - 25. What is h(0)? 2 Suppose 0 = -v - 0 - 5. Let t = v - -10. Suppose -t*r = -3*j - 3 - 3, -5*j = -5*r + 10. Let n(q) = -q**3 - q**2 - q - 3. Calculate n(r). -3 Let l(c) = -c - 13. Let b(m) be the second derivative of -m**3/6 + m**2/2 + m. Let j be b(2). Let w be (j - -3)/((-8)/28). What is l(w)? -6 Suppose 38 = -4*m - 3*w + 11, 7 = -4*m + w. Let u(g) be the second derivative of -g**4/6 - g**3/3 + 2*g**2 + 8*g. Determine u(m). -8 Let c(h) be the first derivative of h**2 + 4*h + 13. Calculate c(-5). -6 Let s = -101 - -94. Let n(f) = 3*f**2 - 5 - 7*f - 3*f**2 - f**2. Give n(s). -5 Let n(d) = -4*d + 5*d**2 + 10*d - 4*d**2. Determine n(-7). 7 Let f(a) = -5*a - 1. Let g be f(-4). Suppose g + 1 = 2*i. Let k = 14 - i. Let s(j) = j**2 - 2*j - 2. Give s(k). 6 Let a(r) = -r + 1. Let f(s) = 4*s. Let g be f(4). Suppose -5*p - 4 - g = 0. Let b = p - -7. Determine a(b). -2 Suppose -9 = f + 3*j, 0 = -3*f + 4*j + 31 - 6. Let q(a) be the second derivative of -1/6*a**f + 0 + 2*a + 0*a**2. Give q(0). 0 Suppose 3*w = 4*l + w + 10, -4*l - 19 = w. Let m(c) = -c**3 - 6*c**2 - 5*c. Determine m(l). -12 Let u(f) = -f**3 + f**2 + f - 11. Suppose 12 = -4*l - p + 5*p, -12 = 2*l - 4*p. What is u(l)? -11 Let s(j) = 14*j - 10. Let n(a) = -a + 1. Let v(d) = 10*n(d) + s(d). Determine v(-3). -12 Let d(r) be the first derivative of r**2/2 - 3*r + 2. Suppose 4*s - 3 = 9. Suppose -7*m = -3*m - s*k - 6, 0 = m + 5*k - 13. What is d(m)? 0 Let m(d) = -20*d - 16*d + 7 + 32*d - d**2. Give m(-5). 2 Let k = -1 - -3. Let j = 0 + k. Let c(v) = -4 + j + 4 - 7 - v. Determine c(-6). 1 Let y(a) be the first derivative of -2*a**3/3 + 2*a**2 - 3*a - 2. Let c(l) = 3*l - 2*l + 6 - 2*l + 2. Let h be c(6). Give y(h). -3 Let q = 2 - 0. Let r = q + 0. Let g be 7 - (-2)/r*-2. Let w(n) = -n + 9. Determine w(g). 4 Let l be 0*(3 + (2 - 4)). Let o = 1 + l. Let n(j) be the third derivative of j**5/60 - j**3/6 + 3*j**2. Give n(o). 0 Let v = 12 - 13. Let n(p) = 6*p**3 + p. Give n(v). -7 Let q(u) be the first derivative of u**4/4 + 5*u**3/3 + 3*u**2/2 + u + 1. Let f be ((-4)/(-10))/((-2)/20). Determine q(f). 5 Let s(l) = 2*l**2 + 3*l + 1. Let d(x) be the third derivative of 0*x - 1/60*x**5 - 5/12*x**4 - 3*x**2 + 4/3*x**3 + 0. Let y be d(-11). Give s(y). 10 Suppose g - 5*g + 12 = 0. Let f(m) = 7*m - 4*m**2 + 5 - 3*m + g*m**2. Let p be (-4)/3*(-9)/3. Determine f(p). 5 Let p(r) = -4*r + 5. Let n(h) = 5*h - 6. Let g(i) = 5*n(i) + 6*p(i). Let x be g(5). Suppose x*a - 2 = 5*t - 12, 8 = 4*t + 4*a. Let d(c) = 2*c + 1. What is d(t)? 5 Let a = 5 + -1. Suppose -21*p - a = -20*p. Let s(m) = 2*m + 3. Give s(p). -5 Let t be 4 + (3 - 2)*-1. Suppose 0 = g + u, 0 = 5*g + 3*u + 1 - 7. Let s(l) = -5*l - 1 + g*l - t*l. What is s(-1)? 4 Let u(o) = o**3 + 7*o**2 - 3. Let p be u(-7). Let c(g) = 3*g**2 + 4*g + 2. What is c(p)? 17 Let h(n) = -n**2 - 5*n. Let u be (-2)/(-11) - 60/(-33). Let c(m) = 4*m**2 + 21*m. Let y(j) = u*c(j) + 9*h(j). Determine y(-2). 2 Let c be ((-9)/(-12))/((-12)/(-32)). Let v(f) be the first derivative of -c*f**2 + 4/3*f**3 + 1 + 1/4*f**4 + 4*f. Calculate v(-5). -1 Let q = -14 + 16. Let x(l) = 2*l**2 - 2*l - 1. Determine x(q). 3 Let g = 3 - 8. Let l(x) = -3*x + 2. Let i(t) = -1. Let n(d) = -7*d. Let b(m) = 5*i(m) - n(m). Let k(s) = -2*b(s) - 5*l(s). Calculate k(g). -5 Suppose -5*c + 3*y = 0, -2*c + 4*c = -y. Let h(a) = a - 7. What is h(c)? -7 Let i(g) be the first derivative of g**4/4 + g**3 + g**2 + 3*g - 9. What is i(-2)? 3 Let j be (-1 - 26/4)*(-40)/(-50). Let m(b) = -b**2 - 4*b - 5. Give m(j). -17 Let k(b) be the third derivative of b**6/60 + b**5/30 + b**4/12 + b**3/6 - 4*b**2. What is k(-1)? -1 Let x(c) = 15*c**2 - 14*c**2 + 130*c - 1 - 129*c. Give x(1). 1 Let d(s) = 2*s**3 - s. Let w(r) = r**2 - 18*r + 2. Let f be w(18). What is d(f)? 14 Let o(u) = -9*u + 7 - 69*u**2 + 143*u**2 - 73*u**2. Determine o(6). -11 Let u(z) be the second derivative of -z**6/720 + z**5/60 - z**4/4 - 2*z. Let i(c) be the third derivative of u(c). Calculate i(-3). 5 Let l(t) = -t + 1. Suppose 4*y - 2 - 18 = 0. What is l(y)? -4 Let f be (-3 - (0 - 2))*-3. Let p(d) = 4*d**3 - 5*d - f*d**3 + 3*d - 3*d**2. Suppose -3*n = 3*u - u - 9, 3*u - 12 = -3*n. Calculate p(u). -6 Let c(r) = r**2 - 4*r - 3. Let w be c(5). Let p(u) = 6*u. What is p(w)? 12 Let x(w) = -w**2 + 6*w + 2. Let r be (-3)/((-3)/12*2). Let p be x(r). Let v be p*-1 - (-1 + 2). Let s(c) = -c**3 - 2*c**2 + c - 4. Determine s(v). 2 Let g(f) = -6*f + 1. Let v = 40 + -41. Determine g(v). 7 Let z(q) = -q**3 + 5*q**2 - 4*q - 2. Let k = -11 - -15. Calculate z(k). -2 Let n(j) = -5*j**3 - 4*j**2 + 9*j + 2. Let d(q) = 113*q**3 + 2 - q - 2 - 112*q**3. Let p(z) = 4*d(z) + n(z). Suppose -r + 4*r = -15. Determine p(r). 2 Let j(t) be the first derivative of 13*t**3/3 + t**2/2 + 3. Give j(1). 14 Let q(p) be the second derivative of p**4/12 + p**3/3 + p**2/2 + p. Let b be -5 + -2*(3 - 4). Calculate q(b). 4 Let i(v) = -v**2 - v + 7. Let f be i(-3). Let p(y) = 10*y. Give p(f). 10 Let l(h) = -3*h - 1 + 5 - 2. Let w(p) = -p**3 + 3*p**2 + 9*p + 3. Let n be w(5). Calculate l(n). 8 Let j(q) be the third derivative of -3*q**2 - 1/6*q**3 - 1/60*q**5 + 7/120*q**6 + 0 + 0*q + 1/24*q**4. Calculate j(1). 6 Let f(p) = -p**3 + 4*p**2 + 6*p + 1. Let a(j) = -j**2 - 5*j - 7 + 6*j + 7*j. Let w be a(6). Suppose 2*b = -3*v - 5, w*v = -3*b + 2*v. Determine f(b). 6 Let f(p) = 4*p - 8. Let w(r) = 7*r - 15. Let a(u) = 5*f(u) - 3*w(u). Suppose 0 = 4*s + 4 + 8. Let v be (-1 - 0)*(s + -2). What is a(v)? 0 Let c = -74 - -76. Let y(q) be the first derivative of q + 1/2*q**c - 1. What is y(-2)? -1 Let u = 14 - 17. Let d(s) = -s**3. Let r(z) = 3*z**3 - 4*z**2 - 3*z + 3. Let i(y) = -4*d(y) - r(y). Calculate i(u). -3 Let c(f) be the first derivative of f**4/4 - f**3/3 - f - 2. Let y(v) = -2*v**3 + 3*v**2 + 4*v + 2. Let g = -39 - -38. Let p(x) = g*c(x) - y(x). Determine p(3). -4 Let a(w) = -5*w - 1. Let f be 3 - 6/(-9)*-3. Suppose 0 = s + 2, 4*s + 0 + 8 = 5*m. Let i = m + f. Give a(i). -6 Let j(q) = 2*q - 8. Let m be (-21)/(-2)*(10/15 + 0). What is j(m)? 6 Let x be (2/14)/(12/84). Let p(a) be the third derivative of 3*a**4/8 + a**3/6 - a**2. Give p(x). 10 Let y(k) be the third derivative of -k**4/24 + k**3/2 + 25*k**2. Suppose 0 = -4*v + 2*d - 24, -v - 3*d - 2 = -3. Determine y(v). 8 Let d(v) be the second derivative of v**7/2520 - v**6/144 + v**5/40 - v**4/6 + 2*v. Let t(i) be the third derivative of d(i). Calculate t(2). -3 Let k(p) = p**3 + 9*p**2 - 4*p**2 - 4*p**3 - 8 - 4*p**3 - 10*p. Let n(y) = -10*y**3 + 8*y**2 - 15*y - 12. Let z(r) = -7*k(r) + 5*n(r). Determine z(4). -8 Let c(z) = z**2 - 6*z + 1. Let w be (10 - 0)/(12/6). Calculate c(w). -4 Let j(t) = -18*t**3 - t**2 - 2*t - 1. Suppose -2*g + 3*w - 8 = 0, 0 = -g + 3*w - 7. Calculate j(g). 18 Suppose t = 4*o - 16, 3*t = 2*t - o + 9. Suppose -4*g = -2*i - 3*g + 12, g + 24 = 5*i. Let w(m) = -m + i*m - t*m. Calculate w(5). -5 Suppose 3*m = -2*m - 120. Let k be 460/(-8)*m/10. Let s be k/(-42) - (-4)/14. Let t(w) = -w. Calculate t(s). 3 Let m(x) = 2 - 5 + x + 1. Give m(-3). -5 Suppose 0 = 3*z + 2*w + 2 + 7, z - 3*w = 8. Let q(p) = -3*p + 1. Let o(n) = -2*n + 1. Let j(b) = 3*o(b) - 4*q(b). Give j(z). -7 Let i(z) = -7*z**2 + 1. Let m(n) be the third derivative of n**4/12 - 7*n**3/6 - 4*n**2. Let r be m(3). Determine i(r). -6 Let s(c) be the third derivative of -c**6
{ "pile_set_name": "DM Mathematics" }
+ c*o + 6 = 0. List the prime factors of (-4 - o)/((-1)/5). 5 Let y(u) = 13*u + 25. List the prime factors of y(11). 2, 3, 7 Let f be 14 - (2/(-2) + 1). Suppose m + 2*p - f = -3*p, 0 = -p. List the prime factors of m. 2, 7 Let s(k) = 2*k**2 + 4*k + 3. Let o be s(-2). Suppose 5*b + c + o*c - 75 = 0, 1 = -b - 4*c. What are the prime factors of b? 19 Let w = 46 - 13. What are the prime factors of w? 3, 11 Let o(k) = -k**3 + 4*k**2 + 4*k + 3. Let z be o(6). List the prime factors of 345/27 - 10/z. 13 What are the prime factors of 5/15*(-234)/(-3)? 2, 13 Suppose 0*z - 12 = -3*z. Let b be (8 - 2)/(6/z). Suppose 3*g + 3*o - 32 = o, b*o + 46 = 5*g. What are the prime factors of g? 2, 5 Suppose g = -3*t + 6, -t = 3*g + 2*g + 12. What are the prime factors of (-1 + t)/(4/76)? 2, 19 Let l = 1 - -2. Suppose l*b = -b. Suppose -3*h = 5*f + 2*h, b = -5*h - 15. List the prime factors of f. 3 What are the prime factors of 0 + 4/(-2 - -4)? 2 Suppose f = 2*f - 16. Suppose 5*w = 5*l, 0*w - 4*w + f = 4*l. List the prime factors of w/(-7) - 90/(-21). 2 Let y be (20/(-25))/((-2)/5). Suppose 2*n = 14 + y. List the prime factors of n. 2 Suppose y + 34 = 5*g + 4*y, -g = -4*y + 7. Suppose 5*p - 250 - g = 0. Suppose 4*n - p = 1. What are the prime factors of n? 13 Let h(g) = -5*g - 3. What are the prime factors of h(-6)? 3 Let l(h) = -16*h**2 - 16*h + 26. Let f(y) = -3*y**2 - 3*y + 5. Let d(v) = -11*f(v) + 2*l(v). What are the prime factors of d(-5)? 17 Let h = -3 - -4. Let t be -3*(h - 15/9). Suppose 4*q = -t*y + 42, -1 = -q + 2*y + 7. List the prime factors of q. 2, 5 Suppose -2*z = -t + 5*t - 278, t + 3*z - 57 = 0. What are the prime factors of t? 2, 3 Let z be (0 + 174/2)*1. Suppose 37 = 2*v - 5*y, -2*v + 5*y = -4*v + z. What are the prime factors of v? 31 Let d(u) = u**2 + 13*u + 14. Let s be d(-12). Let i(j) = -5*j**s - 3*j**3 - 5*j - 2*j**3 + 1 + 6*j**3 + 1. List the prime factors of i(6). 2 Let p(a) = -a + 6. Let s(g) = -g + 5. Let i be s(10). What are the prime factors of p(i)? 11 Suppose -2*g = 3*g - 75. Suppose 3*u = 4*u + 4*a - 10, 0 = -u + 5*a - 26. Let i = u + g. List the prime factors of i. 3 Let x(z) = z**2 - 8*z - 1. Let j be x(8). Let i(v) = -26*v**3 + 2*v + 2. List the prime factors of i(j). 2, 13 List the prime factors of 0 + (-404)/(-8) + 2/(-4). 2, 5 Let b(k) = k**2 - 4*k - 2. Let m be -1 + -1 - (1 - 6). Let z be b(m). List the prime factors of z/((0 + 1)/(-1)). 5 Let y = 20 + -11. Let k = y + 8. List the prime factors of k. 17 Let w = 8 - 3. Let a(z) = -w*z - 3*z + 11 + 10*z**2 - 3*z + z**3 + 0*z. What are the prime factors of a(-11)? 11 Suppose 3*o + 4 - 13 = 0. Suppose -o*i + 6 = -21. What are the prime factors of i? 3 Suppose 12 = -2*h - 5*i, -2*i - 3*i - 28 = -2*h. Let y(k) = 0 - k**3 + k + 5*k**2 - 2 - 2*k. What are the prime factors of y(h)? 2, 5 Let q(d) = -d**2 + 6*d - 4. Let j be (3/2)/((-5)/(-10)). List the prime factors of q(j). 5 Let v = -7 - -10. Suppose -35 = -v*y - 2*y. Let j = 17 - y. List the prime factors of j. 2, 5 Let h be -2 - (0 + -1 - -1). Let k be 32/2 - (h + 4). Let d = k - 4. What are the prime factors of d? 2, 5 Let v = -29 + 17. Suppose 0*o = 2*o. Let y = o - v. What are the prime factors of y? 2, 3 Let m = -72 + 110. What are the prime factors of m? 2, 19 Suppose j + 1 - 5 = 0. Suppose 21 + 39 = j*f. What are the prime factors of f? 3, 5 Let v(w) be the first derivative of w**4/2 - 2*w**3/3 - 3*w**2/2 - 4*w + 2. Let c be v(3). Let t = -13 + c. What are the prime factors of t? 2, 5 Let v(t) = -t**3 - 4*t**2 - 2*t. Let s be v(-5). Let x = -19 + s. What are the prime factors of x? 2 List the prime factors of 3/9 - (-2276)/12. 2, 5, 19 Let u = -207 - -350. List the prime factors of u. 11, 13 List the prime factors of (-116)/(-6)*9/6. 29 Let c(h) = 8*h**2 - 2*h**2 + h**2 + 3*h - 1. Let g be c(2). Suppose q + 0*o = -o + 12, 5*q - g = 4*o. List the prime factors of q. 3 Let g = 6 - 11. Let h = -2 - g. Suppose -h*f - 7 = -52. What are the prime factors of f? 3, 5 Let b(y) = -9*y. Let i be b(-2). List the prime factors of i/63 + (-192)/(-14). 2, 7 Let b(z) = -z**3 + 6*z**2 - 6*z + 3. Let d be b(5). Let f = 0 + d. List the prime factors of f/(0 + 1 + -2). 2 Suppose 32 + 31 = l. Suppose -5*b + 72 = -l. What are the prime factors of b? 3 Let p be 5 - 6/(2 - 0). Suppose 3*x - f + p*f = 52, 4*x - 61 = -3*f. What are the prime factors of x? 19 Suppose 0 = -4*g + 502 + 614. List the prime factors of g. 3, 31 Suppose 45 = v + 5*d, 4*v - 92 = -5*d + 73. Suppose -5 - v = 3*b. What are the prime factors of (b/10)/((-3)/32)? 2 Let y be (-1)/(-2)*-6 - 6. Let v = y - -15. What are the prime factors of v? 2, 3 Suppose -4*u - p + 68 = -0*p, -40 = -3*u + 2*p. Suppose -r + u = -34. Suppose 0*f = -5*f + r. What are the prime factors of f? 2, 5 Let j = -33 + 58. What are the prime factors of j? 5 Suppose a + 1 - 35 = 0. List the prime factors of a. 2, 17 Let w(o) = -5*o - 4. Let s be w(-4). Suppose 3*k + 4 = 2*u, 0 = 2*k - 4*u - 0*u + s. List the prime factors of k. 2 List the prime factors of (-772)/(-16) + (-1)/4. 2, 3 Suppose 0 = -4*j - 4*m - m + 194, -4*j + 5*m + 214 = 0. What are the prime factors of j? 3, 17 Suppose 0 = -2*z - 21 + 115. What are the prime factors of z? 47 Let b be (2 + (-2 - -1))*0. Suppose b = d - 4 - 10. What are the prime factors of d/6 + (-6)/(-9)? 3 Let c be 82/(-1 - 4/4). Let q = 68 + c. List the prime factors of q. 3 Let p = 112 + 109. List the prime factors of p. 13, 17 What are the prime factors of 123 + 20 - (-1 - (-2 - -3))? 5, 29 Suppose 13 = 3*m + 55. Let b = -6 - m. Suppose -5*q + b = -3*q. List the prime factors of q. 2 Suppose -19 = -2*l + 5. List the prime factors of l. 2, 3 Let p(z) be the third derivative of 5*z**4/3 + 3*z**2. Let f(g) = 13*g. Let j(s) = -7*f(s) + 2*p(s). List the prime factors of j(-1). 11 Let t = 17 - 13. Suppose -t*o + 17 = -43. List the prime factors of o. 3, 5 Let s be 1 - (-37)/(-2)*-2. Let l = s + -26. What are the prime factors of l? 2, 3 Let m(p) = 8*p**2 + 5*p - 1. List the prime factors of m(2). 41 Let k(v) = -11*v. Suppose 0 = 2*f + 5*w - 18, -w = -3 + 1. Suppose 0 = 4*j + 8 - f. What are the prime factors of k(j)? 11 Let j = 8 - 8. Suppose 0 = -j*a - 4*a + 164. Let g = a - 29. What are the prime factors of g? 2, 3 Let n = 7 + 29. Let p be ((-2)/(-2) - 1)/(-2). Suppose 0 = 3*x, 2*s + p*s - 4*x = n. List the prime factors of s. 2, 3 Let w(t) = t**3 - 7*t**2 - 1. Let r be w(7). List the prime factors of 3/((-1)/(r/1)). 3 Let j = -81 - -154. Let x = j - 51. List the prime factors of x. 2, 11 Let p be (4/(-2))/(-2 + 1). Let b = 3 - p. Suppose b - 24 = -w - 5*f, -2*f - 22 = -2*w. What are the prime factors of w? 13 Suppose -2*i + 4 = 5*h, h + 3*h + 8 = 4*i. Suppose -k + 5*k + 12 = h. Let t = 20 + k. What are the prime factors of t? 17 List the prime factors of -1*((-8)/(-4 + 8) + -193). 3, 5, 13 Let y = -14 + 0. Let o = 28 + y. List the prime factors of o. 2, 7 Let i = 3 + -1. Let w = 7 + i. What are the prime factors of w? 3 Let w be 4 - (0 - (0 - 1)). Let x(g) = 4*g**3 - 3*g**w + 2*g**2 + 5*g**2 + 9 + 4*g. List the prime factors of x(-6). 3, 7 Let c(v) = -3*v + 9 + 0*v + 4*v + 0*v. Suppose 0*a - 5*h = a - 21, 0 = -2*a + 2*h - 18. What are the prime factors of c(a)? 5 Let r(v) = 8*v + 14. List the prime factors of r(16). 2, 71 List the prime factors of ((-18)/(-8))/((-4)/(-32)). 2, 3 Let u = 64 + 293. What are the prime factors of u? 3, 7, 17 Let m(w) = w**3 - w + 5. Let k be m(0). Suppose -k*a - 5*c + c + 22 = 0, -a - 3*c = 0. Let v = a - 3. What are the prime factors of v? 3 Suppose 3*d + 4*i - 220 = -0*i, 4*i = -4*d + 292. What are the prime factors of d? 2, 3 Suppose 1 + 35 = 3*n. Suppose z + n = 3*z. List the prime factors of z. 2, 3 Suppose -2*m = -4*m. Suppose m = 3*w + 6 + 3. Let d = w + 23. What are the prime factors of d? 2, 5 What are the prime factors of (-1)/2*-367 - 1/2? 3, 61 Suppose 3*d - 43 = 17. Suppose 0 = u + 3*u - d. Suppose 5*k + 25 = h, -5*h + 35 = -2*h - u*k. What are the prime factors of h? 5 Suppose -4*w = -2*y + 82, -2*w - 53 = 5*y + 6. Let a = 36 + w. What are the prime factors of a? 2, 7 Let u = -4 + 1. List the prime factors of (1 - (7 + u))*-2. 2, 3 Let o be (-6)/21 - 205/(-7). Let s be -4*3/(-12)*o. Let d = 43 - s. What are the prime factors of
{ "pile_set_name": "DM Mathematics" }
t t(l) = -2*l**2 + 8. Let z(b) = 3*q(b) - 5*t(b). Differentiate z(u) wrt u. -4*u Let i(b) = -19*b**5 - 8*b**4 + 8*b**2 + 6*b. Let h(l) = -6*l**5 - 3*l**4 + 3*l**2 + 2*l. Let t(c) = -8*h(c) + 3*i(c). Find the second derivative of t(z) wrt z. -180*z**3 Suppose 8*i - 3*i = -5*p + 10, i - p - 2 = 0. Let s(o) be the first derivative of -o**i + 0*o - 2/3*o**3 - 2. What is the second derivative of s(b) wrt b? -4 Let h(v) be the second derivative of v**9/1512 + v**6/360 + v**3/6 - v. Let k(f) be the second derivative of h(f). What is the third derivative of k(r) wrt r? 120*r**2 Let q(w) = 29*w**5 + 3*w. Let a(u) = 14*u**5 + u. Let t(h) = -5*a(h) + 3*q(h). Find the second derivative of t(v) wrt v. 340*v**3 What is the second derivative of -4*k**4 - 5*k + 6*k - 2*k**4 wrt k? -72*k**2 Suppose 5*d + 0 = 20. Suppose 33 - 5 = d*a + 3*c, 5*a = 5*c. Differentiate -4 - a*t + 3*t + 3 with respect to t. -1 Let n(o) = -20*o**2 + 11*o. Let i(c) = 20*c**2 - 11*c. Let p(r) = 4*i(r) + 3*n(r). Find the second derivative of p(f) wrt f. 40 Find the first derivative of 4 - 3 + 6 - 6*x**2 wrt x. -12*x Let d(u) be the second derivative of u**10/7560 - u**7/504 + u**4/3 + 7*u. Let k(o) be the third derivative of d(o). Find the third derivative of k(g) wrt g. 240*g**2 What is the third derivative of o**3 - 21*o**3 + o**3 - o**2 wrt o? -114 What is the second derivative of -d**2 - 11*d + 19*d - 4*d**2 wrt d? -10 Let z(h) be the second derivative of -h**8/2240 + h**7/504 - h**4/4 + h. Let f(q) be the third derivative of z(q). What is the third derivative of f(l) wrt l? -18 Let p(n) be the first derivative of 2*n**2 + 7*n - 9. What is the first derivative of p(u) wrt u? 4 Let p(u) be the third derivative of -23*u**6/120 + 11*u**4/8 - 2*u**2. Find the second derivative of p(c) wrt c. -138*c Let u(s) be the third derivative of -s**9/3024 + s**5/20 + s**4/6 + 4*s**2. Let m(v) be the second derivative of u(v). Find the first derivative of m(g) wrt g. -20*g**3 What is the first derivative of -5*z**2 + 17*z**2 - 3 + 8 wrt z? 24*z Find the second derivative of m - 6*m + 20*m**5 - 2*m wrt m. 400*m**3 Let d(v) be the third derivative of 5*v**9/168 + v**5/30 - 11*v**3/6 + 6*v**2 + 7*v. What is the third derivative of d(h) wrt h? 1800*h**3 Let t(a) = 2*a**2 + 2*a - 5. Let r(c) = c**2 - c + 1. Let b(o) = 5*r(o) + t(o). What is the second derivative of b(k) wrt k? 14 Let t(y) = 2*y**2 - 3*y. Let l be t(2). Differentiate -4 + 7*a**4 + 23*a**l - 23*a**2 wrt a. 28*a**3 Let i be 1 - -3 - 10/5. Suppose 0 = 2*v - v + 4*k + 13, -5*v + 7 = i*k. What is the derivative of -5 + 2*g**4 + v - g**4 wrt g? 4*g**3 Suppose 3*y - 52 = -4. What is the second derivative of -y + 16 + o - 3*o**5 wrt o? -60*o**3 Let o(c) be the second derivative of 1/7*c**7 + 0*c**2 + 0 + c - 1/6*c**3 + 0*c**5 + 0*c**4 + 0*c**6. What is the second derivative of o(h) wrt h? 120*h**3 Let m(i) = 4*i - 6. Let d(x) = 12*x - 19. Let f(b) = -4*d(b) + 14*m(b). Differentiate f(p) wrt p. 8 Suppose -17 + 2 = -5*g - r, 9 = 3*g + 5*r. Let l(y) be the second derivative of 2*y + 0 - y**2 - 1/6*y**4 + 0*y**g. Find the first derivative of l(p) wrt p. -4*p Let v(o) be the third derivative of 11*o**7/105 + o**4/6 - 20*o**2. What is the second derivative of v(l) wrt l? 264*l**2 Let u(l) = -8*l**4 + 10*l**2 + 4*l - 4. Let v(f) = 8*f**4 - 11*f**2 - 3*f + 3. Let p(x) = 3*u(x) + 4*v(x). What is the third derivative of p(a) wrt a? 192*a Let j = 4 - 2. Let v(g) = g**3 + 4*g**2 - 5*g + 4. Let k be v(-5). What is the second derivative of -2*p**4 + k*p - j*p + 0*p**4 wrt p? -24*p**2 Suppose -2 = -2*a - 2*r - 4, -a = -3*r - 11. Differentiate -2 + a*w**3 - 7 - 2*w**3 + w**3 wrt w. 3*w**2 Let t(w) = w**2 + w + 1. Let z(x) = 21*x**3 + 6*x**2 - 5*x + 6. Let f(a) = -6*t(a) + z(a). Find the second derivative of f(j) wrt j. 126*j Let b(f) be the third derivative of f**6/60 + f**5/20 + 17*f**2. What is the third derivative of b(n) wrt n? 12 Let f(k) be the second derivative of k**4/3 - k**3/6 + k**2/2 - 4*k. Let h be f(1). Differentiate 4 + 4*c + 4*c - h*c wrt c. 4 Let f(v) be the second derivative of -1/3*v**3 + 0 - 3/2*v**2 - v. Differentiate f(j) wrt j. -2 Let y be ((-3)/2)/((-27)/36). Find the first derivative of 3 - 3*q - q**y + 3*q wrt q. -2*q Let s(a) be the first derivative of 46*a**5/5 + 40*a - 34. What is the derivative of s(d) wrt d? 184*d**3 Let y(c) = 61*c**5 + 13*c**3 - 101*c**2. Let r(s) = 31*s**5 + 6*s**3 - 50*s**2. Let b(m) = -13*r(m) + 6*y(m). Find the third derivative of b(v) wrt v. -2220*v**2 Let t(k) be the first derivative of -16*k**3/3 + 5*k - 17. What is the first derivative of t(r) wrt r? -32*r What is the third derivative of m - 6*m**2 - m - 109*m**3 + 118*m**3 wrt m? 54 Let u(i) be the second derivative of 19*i**4/12 + 4*i**3/3 + 11*i. What is the second derivative of u(q) wrt q? 38 Let c(l) be the second derivative of 0*l**2 + 0*l**5 + 0 + 0*l**3 + 5/12*l**4 + 4*l - 1/10*l**6. What is the third derivative of c(a) wrt a? -72*a Let v(l) = -2*l - 5. Let i be v(-5). Suppose i*u - 2 = 23. What is the third derivative of -2*j**5 - j**2 + j**6 + 2*j**u wrt j? 120*j**3 Suppose -55 = -k - 4*k. Find the third derivative of 3*o**2 + k*o**4 - 5*o**4 - 2*o**5 - 6*o**4 wrt o. -120*o**2 Let b(v) be the first derivative of 6*v**5/5 + v**3/3 + 1. Find the third derivative of b(m) wrt m. 144*m Differentiate -3 + 4*w - 11 - 1 - w with respect to w. 3 Let f = 54 - 28. Let w be 4/f - 72/(-39). Find the second derivative of -2*y + 2*y - w*y**3 - y + 0*y**3 wrt y. -12*y What is the derivative of -9 - 9*q**2 + 9*q**2 + 33 + 7*q**4 wrt q? 28*q**3 Let x(g) be the first derivative of -7*g**5/5 - 8*g + 3. Find the first derivative of x(p) wrt p. -28*p**3 Suppose -2*v - v = -12. Suppose v*d + d = 10. Find the second derivative of -3*t + d*t**3 - t**4 + 0*t**3 - 2*t**3 wrt t. -12*t**2 Let t = 5 - 2. Let y(a) = 7*a**3 + 4*a + 4. Let u(l) = -6*l**3 + l**2 - 3*l - 3. Let j(v) = t*y(v) + 4*u(v). What is the third derivative of j(x) wrt x? -18 Let s(f) be the second derivative of f**5/5 - 3*f**2/2 - 10*f. Find the first derivative of s(x) wrt x. 12*x**2 What is the second derivative of 11*g**3 + 0*g - 3*g**3 + 2*g wrt g? 48*g Let n(k) = -k**3 + 2*k**2 + 4*k. Let j be n(3). What is the second derivative of h - j*h**5 - h - h + 2*h**5 wrt h? -20*h**3 Suppose -12 = -4*n + 2*n. Differentiate 2 - 8*u + n*u + 0*u wrt u. -2 Suppose -2*s = u, s - 17 = 4*u + 1. What is the third derivative of s - 2*a**5 - a**2 + 2*a**2 - 2 wrt a? -120*a**2 Let r(n) be the first derivative of -1/2*n**2 + 2 + 2*n. What is the derivative of r(a) wrt a? -1 Let i(s) = -19*s**2 + 16*s. Let z(q) = -39*q**2 + 32*q. Let v(j) = -7*i(j) + 3*z(j). What is the second derivative of v(o) wrt o? 32 Let r(l) = l**5 + l**4 - l**2 - l. Let n(x) = -39*x**5 - 6*x**4 + 37*x**2 + 6*x. Let g(a) = n(a) + 6*r(a). What is the third derivative of g(o) wrt o? -1980*o**2 Let a be (-2 - -2)/(-10 - -8). Let l(d) be the second derivative of d + 0 - 1/10*d**5 + 0*d**2 + a*d**4 - 2/3*d**3. Find the second derivative of l(p) wrt p. -12*p Let j(b) be the second derivative of -9*b**8/56 + 7*b**4/12 + 5*b. Find the third derivative of j(q) wrt q. -1080*q**3 Suppose -5*c - w + 61 = 0, 0 = -2*c - w + 13 + 9. Suppose 0 = -2*o - 3*z + c, o - 8 = -z - z. Find the second derivative of -o*d**5 + 0*d**5 + 0*d + 3*d wrt d. -40*d**3 Let d = 6 + -1. Let r(a) = 3*a**2 + 4. Let q(c) = 4*c**2 + 6. Let y(v) = d*q(v) - 8*r(v). Differentiate y(x) wrt x. -8*x What is the third derivative of 709*f**4 + 5*f - 3*f**2 - 56*f**6 - 709*f**4 wrt f? -6720*f**3 Let c(a) = 2*a**3 + 0*a**2 - a**3 - 1 - a**2 + 2*a**2. Let g(b) = 3*b**3 + b**2 - 2. Let t(w) = 2*c(w) - g(w). What is the third derivative of t(z) wrt z? -6 Let k(j) be the first derivative of -2*j**3 - 4*j**2 + 4. Find the second derivative of k(t) wrt t. -12 Let h(g) = -g**3 + g**2 + 1. Let l(p) = -4*p**3 - 2*p**2 - p - 2. Let i = 8 + -6. Let r(s) = i*h(s) + l(s). What is the second derivative of r(y) wrt y? -36*y Let d be (2/(-4))/((-1)/(-6)). Let t(m) = 4*m**2 + 11. Let w(k) = -4*k**2 - 10. Let h(s) = d*w(s) - 2*t(s). Differentiate h(y) with respect to y. 8*y What is the second derivative of -2*d**2 + 6*d**2 + 11*d - 58 + 58 wrt d? 8 Let l be 3/(-2)*(-24)/9. Differentiate -6 + 0*b - l*b + 2 with r
{ "pile_set_name": "DM Mathematics" }
et j(k) = 5*k**2 - 3*k + 0 + k**2 - 3 - 4*k**3. Let c(y) = r*j(y) + 3*v(y). Factor c(t). -t**2*(t - 3) Let r be 128 + (-5 - (-30)/2). Let y be r/(-23) + (6 - 0). Factor 0 + y*p - 2/3*p**4 - 2*p**2 - 8/3*p**3. -2*p**2*(p + 1)*(p + 3)/3 Let d(v) be the second derivative of -v**6/15 + 6*v**5/5 - 25*v**4/3 + 28*v**3 - 45*v**2 - v + 1605. Factor d(l). -2*(l - 5)*(l - 3)**2*(l - 1) Let i(m) = -m**3 + 11*m**2 + 18*m - 68. Let z be i(12). Suppose 300*v**2 + 350*v**2 + 50*v**3 - 785*v**2 - 5*v**z + 90*v = 0. What is v? 0, 1, 3, 6 Let x(u) = -60*u**2 + 43208*u - 38880008. Let n(l) = 22*l**2 - 14403*l + 12960003. Let r(s) = 8*n(s) + 3*x(s). Factor r(c). -4*(c - 1800)**2 Let y(x) = 7*x**3 - 45*x**2 - 7*x. Let k(v) = 20*v**3 - 134*v**2 - 28*v. Let m(s) = -5*k(s) + 14*y(s). Find r such that m(r) = 0. -1, 0, 21 Suppose -u + 3 = k + 2, -2*k + 2 = 3*u. Let w be (29 + -1)*1*k. Let 696*x**5 + 4*x**2 - 716*x**5 - 10*x - 12*x**4 + 8*x**2 + 2*x + w*x**3 = 0. What is x? -1, 0, 2/5, 1 Let z(n) be the second derivative of -n**4/18 - 17*n**3/9 - 52*n**2/3 - 2114*n. Determine y, given that z(y) = 0. -13, -4 Let h be 3/(-6)*(90/(-36) + 1). Let j(k) be the second derivative of -h*k**2 - 21*k - 5/24*k**3 + 0 + 1/80*k**5 + 1/24*k**4. Factor j(i). (i - 2)*(i + 1)*(i + 3)/4 Suppose -2*s = 2*c + 2, 7*c - 2*c - 2*s - 2 = 0. Let t(p) be the first derivative of -3/25*p**5 - 13 + c*p + 1/5*p**3 + 3/10*p**2 - 3/20*p**4. Factor t(g). -3*g*(g - 1)*(g + 1)**2/5 Let z(b) be the first derivative of 0*b**2 + 4/51*b**3 - 2/17*b - 186 + 0*b**4 - 2/85*b**5. What is m in z(m) = 0? -1, 1 Let p(r) be the first derivative of r**4/8 + 16*r**3/3 + 285*r**2/4 + 225*r - 10979. What is d in p(d) = 0? -15, -2 Let d(h) be the second derivative of 0*h**2 - 2*h**3 - 27*h - 17/16*h**4 + 0 - 3/80*h**5. Determine a so that d(a) = 0. -16, -1, 0 Let u(w) = 14*w**3 - 93*w**2 + 366*w - 607. Let h(f) = -15*f**3 + 95*f**2 - 365*f + 605. Let i(x) = -9*h(x) - 10*u(x). Factor i(n). -5*(n - 5)**3 Let y(i) be the first derivative of -9*i**4/4 - 233*i**3/2 - 1767*i**2 - 5415*i/2 - 22. What is k in y(k) = 0? -19, -5/6 Let z(h) = -h**3 - h**2 + h. Let l be (-6)/8*22/(-33)*-12. Let b(k) = 7*k**3 + 21*k**2 - 6*k. Let u(y) = l*z(y) - b(y). Factor u(f). -f**2*(f + 15) Suppose 0 = 2957*o - 2938*o - 57. Let 1/5*p**o + 2/5 + p + 4/5*p**2 = 0. Calculate p. -2, -1 Suppose -74 + 1024 = 2*z. Let v = -471 + z. Find q such that 5/3*q**2 - 7/3*q**5 - 5/3*q**v + 0 - 2/3*q + 3*q**3 = 0. -1, 0, 2/7, 1 Let y(o) be the second derivative of -o**5/30 + 21*o**4/2 - 2813*o**3/3 - 47045*o**2/3 + 3871*o. Factor y(l). -2*(l - 97)**2*(l + 5)/3 Let d be ((-250)/(-200))/(90/96). Factor 10/3*v**2 + 8/3*v**3 - d*v - 2. 2*(v + 1)**2*(4*v - 3)/3 Let y be 2*1/(-16) + (796898/3344 + -28 - 24). Factor -2/11*p**2 - y - 128/11*p. -2*(p + 32)**2/11 Let s(r) be the second derivative of -7/10*r**4 - 144/5*r**2 - 162*r + 3/100*r**5 + 0 + 32/5*r**3. Determine i, given that s(i) = 0. 4, 6 Let w be (-38285)/57 + (15/(-9))/5. Let c = 4724/7 + w. Factor -8/7 + c*y + 12/7*y**2. 4*(y + 2)*(3*y - 1)/7 Let b(t) be the second derivative of t**5/5 + 25*t**4/3 + 8*t**3 - 576*t**2 + t + 453. Let b(i) = 0. Calculate i. -24, -4, 3 Let n(y) = 5*y**2 - 1183*y + 59537. Let p be n(164). Let l = -32 - -65/2. Factor -2*k + 0 - l*k**p - 3*k**4 - 6*k**2 - 13/2*k**3. -k*(k + 1)**2*(k + 2)**2/2 Factor -43*q**2 - 54*q**2 + 544 - 110 + 99*q**2 - 436*q. 2*(q - 217)*(q - 1) Let z(g) be the second derivative of -g**6/90 - 13*g**5/15 - 92*g**4/9 - 352*g**3/9 - 69*g + 5. Suppose z(t) = 0. Calculate t. -44, -4, 0 Let d be (((-1275)/12)/(-25))/((-10)/(10400/(-110))). What is t in -50/11*t**3 + 282/11*t**2 + 2/11*t**4 - 676/11 + d*t = 0? -2, 1, 13 Suppose -18 + 282 = 4*t. Suppose 25*j - t = -8*j. Suppose -2/15*i**4 + 0 + 0*i**3 + 2/15*i**j + 0*i = 0. Calculate i. -1, 0, 1 Let u = 7578/413 + -1032/59. Let x be (-1)/(1/4*-2). What is k in -u*k**4 - 16/7*k**3 - 2*k**x - 4/7*k + 0 = 0? -1, -2/3, 0 Let k be 2/(3522/(-1764) + 2). Factor -k - 13*h**3 + 29*h**3 + 672*h - 87*h**2 - 13*h**3. 3*(h - 14)**2*(h - 1) Let n(q) be the third derivative of q**6/40 + 11*q**5/20 + 5*q**4/2 - 16*q**3 + 1347*q**2. Suppose n(i) = 0. Calculate i. -8, -4, 1 Suppose -2*x = 5 - 11. Suppose -15 = -3*m + 2*g, 6 = -2*m + x*g + 21. Factor 3/4*q - 1/2 + 0*q**2 - 1/4*q**m. -(q - 1)**2*(q + 2)/4 Suppose -13 = 4*c - 21. Factor 3*z**5 - 25*z + 13*z + 5*z + 10*z - 12*z**c - 12*z**4 + 18*z**3. 3*z*(z - 1)**4 Let u be (91/(-77))/(128/(-176)). Let r(n) be the first derivative of -u*n**2 + 3/2*n - 1/16*n**4 + 2/3*n**3 - 24. Factor r(v). -(v - 6)*(v - 1)**2/4 Suppose 5*b = -2*j - 1453, 5*j + 3374 + 299 = b. Let i = j - -738. Factor -2*p**2 - i - 1/4*p**3 - 5*p. -(p + 2)**2*(p + 4)/4 Let u(i) be the first derivative of 14/13*i**2 + 2/39*i**3 + 0*i + 35. Find l, given that u(l) = 0. -14, 0 Let u(p) be the second derivative of p**7/1890 - p**6/30 + 17*p**5/90 + 23*p**4/12 + 60*p. Let y(x) be the third derivative of u(x). Factor y(m). 4*(m - 17)*(m - 1)/3 Let a be 41 - -6*6/9. Let n = a + -30. Factor 4*h + 4*h**2 - 7*h - 2 - 14 + n*h. 4*(h - 1)*(h + 4) Let t(a) = -a. Let l(d) = 5*d**2 - 6*d - 20. Let y(v) = -v**2 + 3*v + 44. Let q be y(0). Suppose -4*s = q - 68. Let i(h) = s*t(h) - l(h). Factor i(g). -5*(g - 2)*(g + 2) Determine w so that 38829*w + 40373*w - 1050*w**3 + 1052*w**3 - 796*w**2 = 0. 0, 199 Let q be 12/42*14/60*2. Let i(z) be the second derivative of -11*z + 2/15*z**3 + 0*z**2 + 0 + 33/100*z**5 + 1/3*z**4 + q*z**6 + 2/105*z**7. Factor i(p). p*(p + 2)**2*(2*p + 1)**2/5 Let n = -46 - -50. Factor -2*x**4 + 57*x**5 + 0*x**n - 55*x**5. 2*x**4*(x - 1) Suppose 882*d**2 - 4310*d + 2/5*d**4 + 7100 - 314/5*d**3 = 0. Calculate d. 5, 142 Let z(c) be the first derivative of -1/8*c**4 - 4/9*c**3 - 7/12*c**2 - 1/3*c - 20. Factor z(v). -(v + 1)**2*(3*v + 2)/6 Let a be (8265/(-60610))/(8/(-66)). Find i such that -87/8*i**2 + 57/8*i + 39/8*i**3 - a = 0. 3/13, 1 Let j(d) be the second derivative of 88*d + 0 + 5/48*d**4 - 1/20*d**5 - 1/12*d**3 + 1/120*d**6 + 0*d**2. Suppose j(c) = 0. What is c? 0, 1, 2 Factor 13*k - 18*k**2 - 20*k + 3*k. -2*k*(9*k + 2) Let g = -387119/30 - -12904. Let b(a) be the second derivative of 4/9*a**4 + 13/9*a**3 + g*a**5 - 7*a + 0 + 2*a**2. Factor b(m). 2*(m + 1)**2*(m + 6)/3 Let o(j) be the second derivative of -j**6/200 - j**5/20 - 3*j**4/20 + 29*j**2 + 126*j. Let c(n) be the first derivative of o(n). Factor c(h). -3*h*(h + 2)*(h + 3)/5 Suppose -16*u + 17*u - 194 = 0. Suppose u = -r + 204. Factor 5/2*i**2 + 10 + r*i. 5*(i + 2)**2/2 Let j be (2/(-2))/((-14)/4). Let w = 2018139 + -2018136. Factor -2/7*a**2 + 0*a - 2/7*a**w + 0 + j*a**4 + 2/7*a**5. 2*a**2*(a - 1)*(a + 1)**2/7 Factor 3*i**3 - 25*i**2 - 252666 + 252666 + 66*i - 44*i**2. 3*i*(i - 22)*(i - 1) Factor -102*g**2 - 7*g**3 - 22*g**2 + 29*g**2 - 545*g**2 + 2*g**3 - 1875*g. -5*g*(g + 3)*(g + 125) Let c(a) be the second derivative of a**4/96 + 23*a**3/24 - 1071*a**2/16 + 9582*a. Let c(t) = 0. What is t? -63, 17 What is m in 117/7*m + 34 - 1/7*m**2 = 0? -2, 119 Find x such that -54*x**2 - 3/4*x**5 + 1/2*x**4 + 81/4*x**3 + 0 + 27*x = 0. -6, 0, 2/3, 3 Let x be (-17172)/306 + (-4)/(-34). Let s be (60/45)/((x/12)/(-1)). Let -10/7*o + 8/7 + s*o**2 = 0. What is o? 1, 4 Solve 5/2*m + 0 + 3*m**2 + 1/2*m**3 = 0. -5, -1, 0 Let c(p) be the second derivative of p**6/6 - 21*p**5 + 415*p**4/12 + 9243*p. What is l in c(l) = 0? 0, 1, 83 Let f be (4/8)/(-25 + 46). Let t(o) be the second derivative of 5/21*o**3 + 0 + 6/7*o**2 + 19*o - f*o**4. Let t(h) = 0. What is h? -1, 6 Let q be ((-300)/24 - -13)*8. Let v(y) be the second derivative of -5/12*y**q + 5/6*y**3 + 0 - 13*y + 5*y**2. Factor v(i). -5*(i - 2)*(i + 1) Let x(d) be the second derivative of d**4/66 - 256*d**3/33 + 255*d**2/11 - 1551*d. Factor x(q). 2*(q - 255)*(q - 1)/11 Suppose -40*s - 45*s + 44*s = 0. Let a(m) be the second derivative of s*m**2 + 0 - 1/3*m**3 + 1/3*m**4 - 1/40*m**5 + 21*m - 1/20*m**6. Factor a(k). -k*(k - 1)*(k + 2)*(3*k - 2)/2 Let k(x) be the first derivative of 9*x**4/4 + 628*x**3/3 + 481*x**2/2 - 138*x - 352. Solve k(y) = 0 for y. -69, -1, 2/9 Determine m, given that -21*m**2 - 96 - 3/4*m**3 + 93*m = 0. -32, 2 Determine x, given that -1/4*x**4 - 1/2*x**3 + 0*x**2 + 1/4 + 1/2*x = 0. -1, 1 Suppose 9*l - 4
{ "pile_set_name": "DM Mathematics" }
-z**5/15 - 6*z**2. Let g(r) be the third derivative of 5*r**4/8 + r**2 - 40*r. Determine g(t(n)). -60*n**2 Let f(a) = -4*a - 7*a + 9*a. Let y(c) = 3532 - c**2 - 3*c**2 - 3542 + 2*c**2. What is y(f(v))? -8*v**2 - 10 Let t(z) = 3*z**2 + 3. Let k(c) = -1. Let j(d) = 3*k(d) + t(d). Let p(r) = 33*r**2 + 24*r**2 - 53*r**2. Determine p(j(v)). 36*v**4 Suppose 0 = 88*a - 91*a. Let s(u) be the second derivative of -1/3*u**3 - 5*u + 0*u**2 + a. Let z(j) = -6*j. What is s(z(l))? 12*l Let v(k) be the second derivative of -7*k**3/6 + 281*k. Let q(l) = 12*l**2. Calculate q(v(j)). 588*j**2 Let g(l) = -113*l**2 + 63*l**2 - 1 + 1 + 54*l**2. Let x(w) = 9*w**2. Give x(g(i)). 144*i**4 Suppose 6*j = 20 - 8. Let k(y) = 0*y**2 + 9*y**j - 11*y**2. Let p(d) = 11*d. Determine p(k(z)). -22*z**2 Let m(s) = 192*s**2. Let c(n) = 4410*n. Calculate m(c(i)). 3734035200*i**2 Let d(n) = 327*n**2 - 5*n - 13. Let k(q) = -2*q. What is k(d(z))? -654*z**2 + 10*z + 26 Let l(h) = 0 + 112701*h + 0 - 112699*h. Let r(c) be the third derivative of -c**5/60 + c**2. What is r(l(y))? -4*y**2 Let d(o) = 18*o. Let k(l) = -53848*l. Give k(d(b)). -969264*b Let r(d) = 7*d. Let k(h) = 22*h + 8*h - 20*h. Calculate k(r(t)). 70*t Let x(o) = -11*o**2. Let p(t) = -3*t + 18*t - 3*t - 13*t. Calculate p(x(s)). 11*s**2 Let x = 18 - 7. Let i(y) = x*y**2 + 13*y**2 - 4*y**2. Let n(q) = -3*q. Calculate n(i(d)). -60*d**2 Let w(g) = 762*g**2. Let k(l) = 2*l - 2. What is w(k(h))? 3048*h**2 - 6096*h + 3048 Let x(y) = 101*y**2. Let h(n) = 16*n**2 + 2. Determine x(h(d)). 25856*d**4 + 6464*d**2 + 404 Let d = 145 - 96. Let x(a) = -51 + 100 - d - a. Let r(l) = -12*l**2. Calculate r(x(t)). -12*t**2 Let d(b) be the second derivative of -3/2*b**2 - 1/3*b**3 - 38*b + 0. Let w(f) = f**2. Calculate w(d(m)). 4*m**2 + 12*m + 9 Let h(o) = 1089*o + 132*o - o**2 - 2124*o. Let v(q) = -q. Determine h(v(z)). -z**2 + 903*z Let o(l) = l. Suppose 5*f + 5*y - 195 = -0*f, 0 = f - 2*y - 51. Let n(v) = 2*v - v - f*v**2 - v. Determine n(o(p)). -43*p**2 Let t(q) = 2*q**2. Let p(f) be the first derivative of -f**5/10 + 20*f**3/3 - 15. Let i(j) be the third derivative of p(j). What is t(i(d))? 288*d**2 Let h(x) = -17*x. Let c(y) be the second derivative of 0 - 1/6*y**3 + 0*y**2 + 3*y. What is c(h(j))? 17*j Let i(v) = v**2 - 26. Let h(q) = -q**2 + 2*q + 1. Let n(c) = -3*c**2 + 8*c + 4. Let r(s) = -4*h(s) + n(s). Determine r(i(p)). p**4 - 52*p**2 + 676 Let o(j) = 212*j. Let q(w) = -121*w. Let t(k) = 4*o(k) + 7*q(k). Let a(m) = m - 4 + 4. Determine t(a(d)). d Let p(u) = -30*u - 12. Let a(y) = -12*y - 5. Let x(v) = 12*a(v) - 5*p(v). Let l(i) = 2*i**2. Give x(l(q)). 12*q**2 Let v be -2*(-9)/24*(-12 + 16). Let s(x) be the second derivative of 0*x**v + 0 - 1/6*x**4 + 0*x**2 + x. Let c(i) = -2*i**2. Calculate s(c(r)). -8*r**4 Let k(h) = -3*h. Let n(p) = -416*p + 16. Let v(y) = -3*y + 1. Let u(j) = -n(j) + 16*v(j). Determine k(u(s)). -1104*s Let x(i) = -22*i. Let g(r) be the second derivative of r**4/12 + 19*r**2/2 - 13*r. Let o(c) be the first derivative of g(c). Give o(x(n)). -44*n Let x(o) = -o**2 + 2*o - 1. Let g(l) = 2*l**2 - 8*l + 4. Let b(c) = g(c) + 4*x(c). Let m(a) = 4*a - 5. Determine b(m(t)). -32*t**2 + 80*t - 50 Let l(o) = -54 + 22 + 32 + 23*o**2. Let c(k) = -20*k. Calculate l(c(t)). 9200*t**2 Let k(q) = -8170*q. Let b(j) = -5*j. Determine k(b(x)). 40850*x Let j(g) = -7*g**2. Let f(i) be the second derivative of i**4/12 + 48*i. Calculate j(f(l)). -7*l**4 Let c(u) = 2*u + 3. Let t(d) = 20687*d. Give t(c(h)). 41374*h + 62061 Let q(u) = -10*u**2 - 6*u**2 - 8*u**2 + 22*u**2. Let w(x) be the first derivative of 4*x**2 - 10. Calculate w(q(y)). -16*y**2 Let l(v) be the third derivative of -v**5/60 - 34*v**2 + 2. Let t(y) = 185*y. Calculate l(t(w)). -34225*w**2 Let v(l) = -29*l**2. Let p(q) = -5*q**2 - 6*q - 166. Determine p(v(a)). -4205*a**4 + 174*a**2 - 166 Let p(d) = -6*d. Let f(i) = 6*i**2 + 568. What is p(f(s))? -36*s**2 - 3408 Let n(p) = 22*p + 20. Let b(y) = -3*y - 3. Let r(l) = -20*b(l) - 3*n(l). Let i(o) = 15*o. What is i(r(q))? -90*q Let z(d) = 376*d. Let o(n) = -78*n. Determine z(o(f)). -29328*f Let y(i) = -170889*i. Let h(l) = -8*l. Determine y(h(s)). 1367112*s Let t(u) be the third derivative of 2*u**5/3 - 41*u**2 - 1. Let d(w) = 4*w + 3. Let v(p) = 3*p + 2. Let r(x) = 2*d(x) - 3*v(x). What is t(r(f))? 40*f**2 Let u(l) = -15*l**2. Let c(m) = 32*m**2 - 3*m. Let w(d) = 6*d**2 - d. Let g(b) = c(b) - 3*w(b). Give g(u(r)). 3150*r**4 Let l(t) = 101*t - 172*t + 100*t. Let b(f) = 3*f**2. Calculate b(l(i)). 2523*i**2 Let s(r) = 182*r**3 - 3*r + 3. Let u be s(1). Let t(d) = -182*d - d**2 + u*d. Let k(v) = -3*v**2. Give t(k(h)). -9*h**4 Let w(s) = 133*s**2 - 2. Let a(h) = -87*h + 1. Calculate w(a(t)). 1006677*t**2 - 23142*t + 131 Let s(i) be the second derivative of -i**7/630 - 7*i**4/6 - 16*i. Let u(g) be the third derivative of s(g). Let m(f) = -5*f. Determine u(m(c)). -100*c**2 Let c(m) be the third derivative of m**5/12 + 3*m**2. Let b(n) be the third derivative of n**5/20 + 3*n**2 + n. Calculate b(c(u)). 75*u**4 Let s(c) be the first derivative of 3*c**2/2 - 66. Let d(i) = 5*i. Give d(s(o)). 15*o Let f(h) = 4*h. Let r(c) = 8*c - 22. Let m(t) = -t + 3. Let a(l) = -35*m(l) - 5*r(l). Calculate a(f(z)). -20*z + 5 Let t(k) = 8*k + 3. Let j(h) = -8*h - 4. Let m(f) = 3*j(f) + 4*t(f). Suppose -2*x - 57 = -365. Let r(q) = -51*q + x*q - 49*q - 55*q. Calculate r(m(w)). -8*w Let h(j) = -17*j. Let i(d) = -1882*d. Calculate h(i(k)). 31994*k Let c(k) be the second derivative of -k**5/30 - 19*k**2/2 + 17*k. Let x(y) be the first derivative of c(y). Let f(i) = 3*i + 0*i + 3*i. What is x(f(j))? -72*j**2 Let d(f) = 0*f + 0*f - 5*f + 2*f. Let y(p) = -5*p. Let t(c) = -5*c. Let w(s) = 3*t(s) - 2*y(s). What is w(d(k))? 15*k Let q(u) = u - 21. Let b(d) = 7. Let h(i) = -3*b(i) - q(i). Let a(z) = -z - 881. Give a(h(t)). t - 881 Let g(m) be the third derivative of 11*m**5/30 - m**2. Let s(i) = -10*i. Let d(p) = -3*p. Let k(n) = -7*d(n) + 2*s(n). Give k(g(l)). 22*l**2 Suppose -4*m + w - 2*w + 65 = 0, -3*m + 40 = -w. Let j = -13 + m. Let k(x) = -2*x + 4*x**j + 2*x - 5*x**2. Let c(t) = 5*t. Determine c(k(g)). -5*g**2 Let l(v) = 3*v + 0*v - 7*v + 18*v - 15*v. Let g(f) = 99*f. Let k(u) = -14*u. Let j(c) = 3*g(c) + 22*k(c). What is l(j(h))? 11*h Let v(p) = -40*p. Let u(a) = -12068*a. Determine v(u(m)). 482720*m Suppose -8 = 78*n - 82*n. Let z(s) = 2*s**n - 11 - 4 + 15. Let f(l) = -9*l**2. Calculate f(z(m)). -36*m**4 Let d(r) be the third derivative of 2*r**5/15 + 46*r**2. Let k(z) = 2*z + 11*z - 22*z. Calculate d(k(x)). 648*x**2 Let d(t) = -2*t**2. Let c(r) = -2*r - 2. Let f be c(-2). Let w(i) = i - i - 4*i + f*i. Calculate w(d(n)). 4*n**2 Let t(r) = 2*r**2 - 16. Let g(j) = -570*j**2. Calculate t(g(d)). 649800*d**4 - 16 Let z(c) = -3*c**2. Let b(s) = -s + 4. Let a be b(3). Let k be 0 + (-9)/(-3)*a. Let w(y) = y**2 + 5*y**2 + k*y**2 - 4*y**2. Give z(w(i)). -75*i**4 Suppose -t + 12 = 2*f, 4*t + 1 = 3*f - 6. Let x(a) = -18*a**t - 7*a**2 + 2*a**2 + 0*a**2. Let j(h) = 2*h**2. Give j(x(c)). 1058*c**4 Suppose 9 - 9 = -9*q. Let m(p) be the third derivative of 1/60*p**5 + q + 5*p**2 + 0*p**3 + 0*p**4 + 0*p. Let n(o) = 4*o**2. What is n(m(u))? 4*u**4 Let k(i) = 156 - 156 - 2*i**2. Let t(r) = 4*r**2. Give t(k(f)). 16*f**4 Let g(t) = -13*t - 6. Let d(o) = -285*o - 133. Let l(z) = -6*d(z) + 133*g(z). Let y(n) be the first derivative of 3*n**2/2 - 71. Give y(l(i)). -57*i Let l(c) = -6*c**2. Let g(w) = -3*w - 921. Give g(l(i)). 18*i**2 - 921 Let x(u) be the third derivative of u**4/12 - 974*u**2. Let r(l) be the second derivative of l**3/3 + l. Give r(x(o)). 4*o Let l(z) = 16*z**2 - 1. Let i(r) be the third derivative of -r**5/30 - 41*r**2 + 2. Give l(i(x)). 64*x**4 - 1 Let o(q) = -5*q**2 + 3*q + 12. Let s(d) = -d**2 + d + 2. Let n(y) = -o(y) + 6*s(y). Let u(r) = r. Determine u(n(t)). -t**2 + 3*t Suppose 4*l + 2*h = 2*l - 4, 0 = 4*l - 4*h - 24. Let a(f) = f**2 - f**2 + 4*f**l - 3*f**2. Let t(n) = -5*n. Calculate a(t(d)). 25*d**2 Let c(z) = -15*z**2. Let m(a) = 27171*a**2 - 3. Give m(c(i)). 6113475*i**4 - 3 Let l(z) = -2*z. Let w(x) = 11 + 2*x + 0 - 4*x + x - 3. Determine w(l(m)). 2*m + 8 Let v = 16 - 10. Let p(o) = 13*o**2 + 6*o - v*o + 0*o. Let b(u) be the first derivative of u**2 +
{ "pile_set_name": "DM Mathematics" }
2 - o**3 - 4*o**2 + 2*o**2 + 4. Does 8 divide i(-7)? False Suppose 0 = -u + 2. Let q be (u/(-2))/((-1)/79). Let o = q - 55. Is 15 a factor of o? False Let f = -43 - -89. Is f a multiple of 8? False Let a = -62 + 36. Let c = 40 + a. Is c a multiple of 9? False Is 30 a factor of ((-2)/(-9) - 176/(-18))*12? True Let o = -6 + 4. Let u = 9 + o. Does 4 divide u? False Suppose -5*j = -11 - 4. Suppose -5*q = -j*r - 16, 6*r + 14 = 2*q + r. Suppose 3*l = -7 - q, 4*l = 5*n - 82. Is 5 a factor of n? False Suppose 4*x - 6*x + 104 = 0. Is x a multiple of 13? True Let u(y) = -y**3 + 9*y**2 + 9*y + 12. Let v be u(10). Suppose -12 = -2*k - 2*g, k + v*k - g = 10. Is k a multiple of 2? True Suppose -4*k + 2*p - p = -14, -3*k + 2 = -5*p. Let r(j) = -2*j + 6*j**2 - j**3 - 2 - 4 + 1. Does 14 divide r(k)? False Let d(l) = 5*l**2 - 2*l - 3. Let c be d(3). Let j be (3/(-6))/(2/c). Is 9/(-4)*(j - -1) a multiple of 12? False Let b(n) = 23*n**2 - 2*n + 1. Let s = -4 - -5. Does 11 divide b(s)? True Let i be 0*4/16 - -3. Suppose -2*y + i*y = -5*c + 17, y + 2*c - 11 = 0. Is 7 a factor of y? True Is 4/(4/41) + 3 a multiple of 11? True Let h be (-7)/2 + 3/(-6). Does 7 divide ((-10)/(-3))/(h/(-18))? False Is (0 - 5)*8856/(-120) a multiple of 41? True Suppose 2*c = 5*l - 96, -4*l + 0 = 3*c - 63. Is l a multiple of 6? True Suppose 2*h = -4*x + 16, h - x - 8 = 2*x. Let l = h + 20. Is l a multiple of 28? True Let m(c) = -c**3 - 3. Let s be m(0). Let b = s + 10. Is b a multiple of 7? True Suppose -7 = -c + 41. Suppose 4*i - 2*d + c = -4*d, 0 = -4*d - 16. Is ((-4)/i)/(6/120) a multiple of 8? True Suppose -u = -0*u. Let c(j) = j + 21. Is c(u) a multiple of 7? True Let s(o) = -o - 4. Let f be s(-2). Does 5 divide (10/(-6))/(f/6)? True Let j be 2*2/1 - 2. Let c be 1*(34 + j + -1). Suppose -73 = -4*y + c. Is y a multiple of 14? False Let q = -97 - -173. Is q a multiple of 5? False Suppose -i + 3*b = -1, 4 = 3*i + 5*b - 13. Suppose -8 = 3*l + i. Let u = 12 - l. Does 8 divide u? True Let h be -2 + 5 + 39/(-1). Let w = h + 52. Does 8 divide w? True Let d(i) = -9*i - 28. Does 4 divide d(-8)? True Let h = -8 + 18. Let l(n) = -6*n + 0*n + h*n + 2 - 8*n. Is l(-2) a multiple of 10? True Let g(i) = 102*i**2 + 2*i - 1. Does 23 divide g(1)? False Let y be (-3)/(((-12)/(-5))/(-4)). Suppose 5*o + 87 = 5*v - 108, 39 = v - y*o. Does 13 divide v? True Let h be (2/3)/(4/(-42)). Let o(m) = -m**2 + m + 1. Let b(q) = -2*q**2 - 4*q - 2. Let t(r) = -b(r) + o(r). Is 9 a factor of t(h)? False Is 5 a factor of 128/13 + (-2)/(-13)? True Let d(a) = a**3 - 8*a**2 + 12*a + 5. Is 8 a factor of d(7)? True Let f(c) be the first derivative of 11*c**2/2 - c - 4. Suppose -o + 4*o - 3 = 0. Is 10 a factor of f(o)? True Suppose 4*l - 3*p = 2*l + 58, 38 = l + 3*p. Let s = l + -4. Is 7 a factor of s? True Suppose 5*s - 9 = 6. Suppose -2*c - 3*k = -7*c, s*c = -3*k + 24. Is c a multiple of 3? True Let y be 1/(-2)*2 - -3. Suppose -39 = -4*u + 5*p, u = y*p - p + 9. Is 5 a factor of u? False Let p = -7 - 4. Let v = p + 18. Is v a multiple of 3? False Let i be 2/7 - (-38)/14. Suppose -m + i = -1, -4*u + 264 = 2*m. Is 6 a factor of (9/(-6))/((-6)/u)? False Suppose 2*v + 3*z = 4 + 65, 2*v - 2*z = 84. Is 9 a factor of v? False Let d be 93 - (3 + 0 + 0). Suppose 5*z - 3*b = -6*b + d, 5*b = -z + 40. Does 6 divide z? False Suppose -4*x + 16 = 4*p - 48, 3*p = 2*x - 37. Suppose 2*i - 13 - x = 0. Is i a multiple of 5? True Let p = 352 - 214. Suppose 4*w - p - 42 = 0. Is 18 a factor of w? False Let h = 11 - -19. Is 10 a factor of h? True Suppose 0*m + 5 = m. Suppose m*c - 220 - 162 = -2*t, 2*t = 3*c - 226. Is c a multiple of 19? True Suppose -5*c + c - 22 = -i, -15 = 5*i + 5*c. Suppose 0 = -i*s + 6*s - 108. Is 8 a factor of s? False Suppose -19*t + 432 = -15*t. Does 18 divide t? True Suppose 760 = 4*s - 600. Suppose -s = -7*h + 2*h. Suppose -w + 23 = -i, -5*w - 2*i = -w - h. Does 19 divide w? True Let x be (-2 + (-15)/(-6))*46. Let d(t) = -t**3 - 5*t**2 + 3. Let z be d(-3). Let c = x + z. Does 5 divide c? False Let n = 10 + -5. Let t be (n/(-15))/((-2)/(-6)). Is t*((-33)/3 - -2) a multiple of 5? False Suppose 2*q + 2*q + 2*x = 30, 5*x = -3*q + 5. Suppose -q - 10 = 5*y + 5*d, -3*d = 4*y + 13. Is 3/(-6)*-74 + y a multiple of 18? True Let w = 71 + -33. Suppose 5*f + 13 = 3*j + w, -2*j = f - 5. Suppose d = -j + 2. Is d a multiple of 2? True Let p(s) = -2*s - 1. Let r be p(1). Is 8 - 2*(r - -2) a multiple of 4? False Let g = 70 - 26. Is g/(7/((-7)/(-2))) a multiple of 10? False Let u(f) = 2*f**2 + 7*f. Let o = 9 - 14. Is 15 a factor of u(o)? True Suppose -5*t - 12 = 4*v + 5, -v - t = 3. Suppose -v*r + 270 = 3*r. Does 18 divide r? True Let x(j) = 2*j + 8. Let z be x(11). Let r = -47 + z. Let b = 4 - r. Is b a multiple of 11? False Let c(i) = -3 + 2*i**2 + 2 - 4*i**2 - 2*i. Let l be c(3). Let r = 56 + l. Does 12 divide r? False Let x(r) = 2*r**3 - 4*r**2 + 3*r - 6. Is x(3) a multiple of 21? True Let y = 2 - 0. Suppose -y*v = v. Let z = v + 13. Is z a multiple of 9? False Let q be ((-33)/(-6))/((-4)/(-8)). Suppose -q = -5*x + 34. Is x a multiple of 7? False Let y(t) = 6*t**3 - 3*t**2 + t. Is y(2) a multiple of 38? True Let g = -32 - -123. Let m = g + -31. Is 20 a factor of m? True Let v(p) = -p**2 + 5*p + 6. Let d be v(6). Suppose d = 4*z + 8, -z + 4 - 1 = j. Suppose j = -a, 3*a - 2 - 1 = -2*w. Does 9 divide w? True Let t(c) = c**3 - 2*c**2 + c + 7. Let h be t(5). Suppose -r + h = 2*r. Suppose u = -3*s + r, -2*s = -2*u + 59 - 9. Is 13 a factor of u? True Let y = 0 - -8. Let x = 18 - y. Is 4 a factor of x? False Let x be (-4)/(1*-2*1). Suppose 0 = 3*g - x*g + 4*i - 83, 4*g - 257 = -i. Let t = -29 + g. Is 12 a factor of t? False Let u = 43 + -21. Let w = 37 - u. Is 9 a factor of w? False Suppose -m + 2 + 34 = 0. Is 9 a factor of m? True Suppose 3*h - 28 = 2*h. Does 7 divide h? True Let o = 6 - 8. Let u(w) = 3*w**2 + 5*w - 1. Let y(n) = -n**2 - n. Let j(c) = -u(c) - 5*y(c). Is j(o) a multiple of 5? False Let v(a) = a**2 - 5*a - 16. Is 38 a factor of v(14)? False Let b = 52 + -12. Does 10 divide b? True Let h(t) = t - 1. Let z be h(6). Suppose 2*k + z*a - 52 = 31, 47 = k - 3*a. Is k a multiple of 13? False Let w be -4 + 1 + (4 - 1). Does 9 divide 3 + (-33)/(-3 - w)? False Let n = 29 - 42. Let c(j) = -4*j**2 - 3*j - 1. Let o be c(-3). Let x = n - o. Is x a multiple of 15? True Let y be 4*(-5 + 1 + 0). Suppose -30 = -3*t - 4*p + 56, -5*p - 94 = -4*t. Let m = y + t. Is 5 a factor of m? True Is (2 - 8/2 - -6) + 15 a multiple of 19? True Let q(l) = -3*l**3 + 4*l**2 + 2. Let w be q(3). Suppose 0 = v + 29 - 9. Let n = v - w. Is 12 a factor of n? False Suppose -3*n = -2*l - 11, 4*n - 5*n - 4*l - 1 = 0. Does 3 divide (7/2)/(n/6)? False Let k(t) = -t**3 + 6*t**2 - 4*t - 2. Let o be k(5). Let v = o + 0. Does 13 divide 80/v - 6/9? True Is ((-132)/16)/3*-8 a multiple of 7? False Let r(w) = -w + 2. Let u be r(2). Suppose -3*d = -p - p + 9, 0 = 4*p - 2*d - 6. Suppose u*k - 2*k + 26 = p. Is 9 a factor of k? False Let u = 2 - 10. Is ((-45)/12)/(2/u) a multiple of 9? False Let r be 7 + (-2 - (1 + -1)). Suppose -3 = 2*l - r*l. Does 5 divide -1 + (l - -1) - -15? False Suppose 2*c - 3*c + 5 = 0. Suppose -c*a + 30 = -2*a. Is 3 a factor of a? False Let o = -34 - -54. Does 12 divide o? False Let f = -5 - -8. Suppose 0 = f*a - 32 - 19. Is 16 a factor of a? False Suppose -3*d - 4*o - 164 = -8*d, 0 = 2*o + 2. Does 8 divide d? True Let v = 7 + 12. Suppose z + 5 = 0, -3*o + v = -o - z. Is 7 a factor of o? True Let d(w) = w**3 + 8*w**2 + 6*w. Is 18 a factor of d(-6)? True Is 90/75*(-130)/(-4) a multiple of 13? True Suppose -284 = -5*d + 166. Suppose 3*m - d = -2*m. Is m a multiple of 13? False Suppose 48 = -4*p + 156. Is 2 a factor of p? False Let z be (-3)/(-4)*(-96)/(-6). Let d = z + -5. Does 7 divide d? True Suppose -x = -9 + 5. Is 2 a factor of x? True Is 6 a factor of (-5)/2*(-4)/1? False Let m(v) be the first derivative of -6*v - 3/2*v**2 - 3. Is m(-7) a multiple of 5? True Let z = -40 - -22. Let a = z + 24. Is 6 a factor of a? True Suppose 56 = 4*t - 5*c, -2*c + c + 4 = 0. Is 11 a factor of t? False Let a(o) = o**2 + 5*o - 12. Does 12 divide a(-9)? True Let u = 11 + 15. Let r = u - 18. Is r even? True Let j(n) = n**3 - 8*n**2 + 10*n - 3. Let p be j(7). Let m = 66 - p. Is
{ "pile_set_name": "DM Mathematics" }
j(h)? 4 Let t = -2306 + 4247. What is the tens digit of t? 4 Suppose 3*d + y = 519, -d - 3*d - 2*y = -690. What is the hundreds digit of d - (4 + -5 + 2)? 1 Let p(a) = -a**3 + 4*a**2 + 6*a - 4. Suppose f - d = -4*d + 35, 0 = 3*f - 4*d - 40. Suppose f = 6*n - n. What is the units digit of p(n)? 0 Suppose -13*z - 5*z = -918. Suppose -39 = -5*s + 2*k + 24, -k = 5*s - z. What is the tens digit of s? 1 Suppose 40 - 36 = 2*o. Suppose 0 = 16*c - o*c - 2016. What is the tens digit of c? 4 Suppose 7*z + 21 = 4*z. Let h(p) = 2*p**2 - 3*p - 2. What is the units digit of h(z)? 7 Let n be (16/20)/((-19)/5 - -4). What is the tens digit of ((-127)/(-4) - 1)*n? 2 Suppose 5*r - 146 = -4*q, -2*r + 3*r = 3*q + 33. Suppose 0 = -2*c - r + 58. What is the units digit of c? 4 Let z be 11*(-2 + 7 + -4). Let g = 78 - z. Suppose q - 4*q + 152 = 5*o, -2*o + g = -5*q. What is the tens digit of o? 3 Let r(z) = -2 + 9 + 3*z**2 - 49*z + 0 - 2. What is the tens digit of r(19)? 5 Suppose -8*v + 2 = 34. What is the units digit of -4 - (v/14 + 9558/(-63))? 8 Let i = -13 + 18. Suppose -i*r + 6*r - 159 = 0. What is the hundreds digit of r? 1 Let l = -283 + 926. Let w = l - 385. What is the units digit of w? 8 Suppose -4*z + 5 = 3*l, 60 - 20 = 4*z - 4*l. Let m(g) = -z - 2*g - g**2 + 1 - 1 - 7*g. What is the units digit of m(-8)? 3 What is the units digit of 8/5*30/12 + 1217? 1 Suppose -5*o + 32 = 2. Suppose -8*u + 120 = -o*u. What is the units digit of u? 0 Let c(j) = 85*j**3 + 2*j**2 - 2*j + 2. Let z be c(1). What is the tens digit of 11542/z + (-2)/(-6)? 3 Suppose -4*z - 4*s = -356, -7*s + 94 = z - 5*s. What is the units digit of z? 4 Suppose 2*h = 5*h + 60. What is the units digit of 16/h*(-190)/4? 8 Let g(d) = 4*d**2 - 2*d + 56. What is the units digit of g(-8)? 8 Let u(v) = -7*v - 4. Let z(k) = 15*k + 9. Let p be 1 - (-3)/(3 + 0). Let q(b) = p*z(b) + 5*u(b). What is the units digit of q(-2)? 8 Suppose 116 = -i + 687. What is the tens digit of i? 7 Let q(m) be the second derivative of 16*m**3/3 - 3*m**2 + 14*m. What is the tens digit of q(2)? 5 Let w(k) = 2*k**2 - 2*k - 1. Let u be w(-1). Let g(y) = -y**2 + 5*y - 2. Let v be g(u). Suppose 12 = v*o - 8. What is the units digit of o? 5 Let i = -15 + 17. Suppose -5*f - i*w = -126, 0*f = f - 4*w - 34. What is the tens digit of f? 2 Suppose 5*t = -5*h - 30, -t = 2*h + h + 20. What is the tens digit of (23 + -1)/(h - -8)? 2 Suppose 10*v = 11*v - 1008. Suppose v = -10*j + 19*j. What is the units digit of j? 2 What is the hundreds digit of 7 + 7/(14/1724)? 8 Suppose 2*k = z + 4832, -z + 4965 = 3*k - 2283. What is the thousands digit of k? 2 Let v(b) = 78*b - 4. Let t be v(1). Let j = t - 34. What is the units digit of j? 0 Let o be (-3 + 3)*(-1)/(-2). Suppose v - 2*u - 89 = 2*u, v - 3*u - 88 = o. What is the tens digit of v? 8 Suppose -4*t + 7*t - 740 = -5*q, -q + 246 = t. What is the tens digit of t? 4 Let i = -44 + 181. Suppose -6*k + 569 = i. Suppose -2*a - k = -7*a + n, -4*a + n = -58. What is the units digit of a? 4 Let j(r) = 10*r - 5. Let l be j(1). Suppose f - 868 = -5*n, l*n - 4*f = 419 + 434. What is the units digit of n? 3 Let n(g) = -7*g**3 - 3*g. Let d be n(-4). What is the hundreds digit of 3 - 0 - (-6)/(24/d)? 1 Let x be ((-167)/4 + 0)/(10/(-40)). Suppose 2*a + 5*b = -189 + 527, -2*b + x = a. What is the hundreds digit of a? 1 Let a(x) = -3*x + 12. Let c be a(-9). Let w be c - (-2 - (-3 + 0)). Suppose -3*v + 5*v - w = 0. What is the units digit of v? 9 Let t(a) = a**3 - 15*a**2 - 2*a + 29. Let w be t(15). Let g(k) = 17*k**2 - k + 19*k**2 + 2*k**2 + 1. What is the units digit of g(w)? 0 Let o be (-8)/3*(7 - 4). Let u(t) = -t**3 - 7*t**2 + 4*t - 6. Let j be u(o). Let r = 40 - j. What is the tens digit of r? 1 Let f be 498/15 - 1/5. Suppose 0 = 9*v - 14 - 13. Suppose 0*c = -2*c - z + 19, -v*z + f = 4*c. What is the tens digit of c? 1 Let k = 8 - 13. Let x = k - -6. What is the tens digit of (17/(-3))/(x/(-3))? 1 Suppose 0 = -654*c + 658*c - 20572. What is the units digit of c? 3 Suppose 3900 = -9*z + 975. Let h = 458 + z. What is the hundreds digit of h? 1 Let i(a) = -a**3 - 2*a**2 + 9. Let x be 6/(7/(42/(-9))). What is the units digit of i(x)? 1 Let r(m) = -3*m**2 + 1 + 4 - 5*m**3 + 4*m**3 + 3*m + m. Let l be r(-4). Suppose 0 = -0*x - l*x + 140. What is the units digit of x? 8 Let p(a) = -2*a + 31. Let h be p(-5). Let l = -13 + h. What is the tens digit of l? 2 Let d = 100 - 85. What is the tens digit of 159/4 - (360/32)/d? 3 Let h = 4 + -6. Let g = -49 + 48. What is the units digit of ((-354)/(-12))/(g/h)? 9 Let v be (2/(-1))/((-1)/8). Let o = v + -7. Let x(u) = -u**2 + 9*u + 8. What is the units digit of x(o)? 8 Let w(k) = 5*k**2 - 4*k + 3. Let d(h) = -h**2 - 1. Let b(g) = 6*d(g) + w(g). Let y be b(-2). Let n = 5 - y. What is the units digit of n? 4 Let z(h) = -3*h**3 - 16*h**2 + 6*h + 13. Suppose o = 2*v + 10 + 7, -29 = 5*v + 2*o. What is the hundreds digit of z(v)? 2 Let u(c) = c**3 - 20*c**2 - 2*c + 39. What is the units digit of u(21)? 8 What is the units digit of (-20085)/618*(124/(-1))/2? 5 What is the units digit of (495/2)/((-30)/(-80))? 0 Let w = 525 + -302. What is the units digit of w? 3 Suppose 36 = 4*j + 4*i, 5*j - 38 - 2 = -4*i. Let u be ((-8)/5)/(j/(-10)). Suppose 3*o + 2*l - 65 = u*l, -4*o = 4*l - 100. What is the tens digit of o? 2 Let o be (1437/9 - 3)/((-2)/(-6)). Suppose 2*z = o + 18. What is the tens digit of z? 4 Suppose -5*v = 4*w - 0*w - 863, 4*v - 864 = -4*w. What is the units digit of w? 7 Let n be -3 + (-12)/(-4) - -4. What is the tens digit of (6/n)/(3/82)? 4 Let j(r) = r**2 - 2*r + 3. Let s be j(3). Let y(u) = 12*u - 27. What is the tens digit of y(s)? 4 Suppose -2*c = 3*d - 1111 - 463, 0 = 2*c - 3*d - 1574. What is the hundreds digit of c? 7 Let r(t) = 2*t + 19. Let m = 18 + -18. Let c be (m*4/8)/(-2). What is the tens digit of r(c)? 1 Let n(h) be the first derivative of 3*h**4/2 - h**3/3 - 12*h - 7. Let m(r) be the first derivative of n(r). What is the tens digit of m(1)? 1 Suppose 0 = 4*x + 2*w - 10926, 5*x - 13675 = -4*w + 5*w. What is the thousands digit of x? 2 Let a = 5 + -2. Suppose a*k - 104 - 86 = h, k - 3*h - 58 = 0. What is the units digit of k? 4 Suppose 5*y - 343 - 512 = 0. Let p = y - 31. Suppose 4*h - p = h + 5*b, 5*b - 140 = -4*h. What is the tens digit of h? 4 Suppose 4*w + h - 3 = -0*h, 2*w - 3*h - 19 = 0. What is the units digit of 612/8 + 3/w? 8 Suppose -3*j = -3*p + 1077, j - 1092 = -3*p - j. What is the tens digit of p? 6 Let o = -3450 - -5860. What is the tens digit of o? 1 Let f(g) = -2*g**2 + g. Let r be f(0). Suppose 2*u + 496 + 672 = r. What is the tens digit of u/(-10) - (-16)/(-40)? 5 What is the hundreds digit of 4*((-39)/12 - -3) + 533? 5 Suppose 107*j - 272134 = 165924. What is the tens digit of j? 9 Suppose 3*i - 7053 = -2685. Let t be (9/6)/((-6)/i). What is the tens digit of t/(-16) - (-9)/(-12)? 2 Let z = 1822 - 445. What is the hundreds digit of z? 3 Suppose -7*m = 76 - 3478. What is the units digit of m? 6 Let i = 3518 - 2179. What is the units digit of i? 9 Let c(i) = -i + 1. Let g be c(0). What is the tens digit of 32 + 1 + (0 - (g - -1))? 3 Let o be ((-2)/10*4)/((-208)/(-520)). Let y(n) = -47*n - 29. Let x(f) = -31*f - 19. Let p(s) = 8*x(s) - 5*y(s). What is the units digit of p(o)? 9 Suppose -53825 = -9*b - 11138. What is the tens digit of b? 4 Let s(h) = 12 - 2*h**2 - 9 - 4*h + 0 + 11*h. What is the units digit of s(3)? 6 Let n be 2/(-4)*(-98 - 0). Let r = n + 11. What is the units digit of r? 0 Suppose 4*d - 67 = d + 2*w, -d - 5*w - 6 = 0. Suppose -4*a - 3 = -d. What is the units digit of (a/(-6))/((-22)/957)? 9 Let l = -19 - -24. Let t be ((-4)/l)/(4/(-20)). Let x(c) = 12*c - 8. What is the tens digit of x(t)? 4 Let l = 276 - 183. What is the units digit of l? 3 Let t = 1729 + -778. What is the units digit of t? 1 Suppose 5*o - 35*d - 2952 = -34*d, d - 588 = -o. What is the tens digit of o? 9 Suppose -2*s - 2*g = 1 + 19, s - 5*g = -16. Let l = s + 19. What is the units digit of l? 8 Let d = 574 + -193. What is the tens digit of d? 8 Suppose 0 = -v - 5, 0 = 5*k + 7*v - 2*v + 650. Let s = -11 - k. What is the hundreds digit of s? 1 Let q(t) = -2*t**3 + 47*t**2 - 41*t + 33. What is the tens digit of q(21)? 7 Let c(i) = i. Let r be c(-6). Let p(
{ "pile_set_name": "DM Mathematics" }
t x = n + -14. What is the second derivative of -k**3 + k**3 + 21*k**4 - x*k - 17*k**4 wrt k? 48*k**2 Let x(z) be the second derivative of -1919*z**6/30 + 319*z**3/6 - 11*z**2/2 - 5259*z. What is the second derivative of x(q) wrt q? -23028*q**2 Suppose 5*c - 50 = 3*i, 1 + 11 = c - i. Find the second derivative of -x**3 + 3128 - 4*x**4 - 22*x - 3126 - c*x**3 wrt x. -48*x**2 - 48*x Let u(t) = t**3 - t**2 + 5*t + 2. Let g(r) = 582*r**3 - 3*r**2 + 15*r - 2466. Let y(w) = 4*g(w) - 12*u(w). Differentiate y(h) with respect to h. 6948*h**2 Let g = 18 + -16. Let k be (-2)/10 - ((-1132)/10 - 2). What is the first derivative of 60*u + 55*u + 20*u**g + 22 - k*u wrt u? 40*u Let b(n) be the second derivative of n**6/30 - 217*n**5/4 + 355*n**3 - 3945*n. What is the second derivative of b(w) wrt w? 12*w**2 - 6510*w Suppose -78 = -4*o - 98. Let i be (o*1)/(45/(-54)). Find the third derivative of -46*g**4 - 18*g**2 + 46*g**4 - g**i wrt g. -120*g**3 Let n(i) be the second derivative of -10 + 0*i**4 + 0*i**5 + 2*i + 23/2*i**2 - 1/6*i**3 - 7/3*i**6. Find the second derivative of n(k) wrt k. -840*k**2 Let c(s) = -s**2 + 2*s + 12. Let j be c(0). Suppose 0*h + k = 2*h - j, -h - 5 = 5*k. What is the third derivative of -2*z + 0*z + 2*z + 2*z**2 - 12*z**h wrt z? -720*z**2 Let j(r) be the first derivative of -49/3*r**6 - 52 + 0*r**4 + 0*r**3 - 1/2*r**2 + 0*r**5 + 15*r. Find the second derivative of j(u) wrt u. -1960*u**3 Find the second derivative of 258*v + 50*v**4 - 59*v**4 - v**3 + 11*v**4 + 637*v**2 + v**3 wrt v. 24*v**2 + 1274 Let z(g) = -g**2 + 5*g + 28. Let l be z(8). Find the second derivative of -10*m**4 + 2*m - 3*m**l + 52*m**2 + 15*m**4 - 4*m**4 + 11 wrt m. -24*m**2 + 104 Find the second derivative of -1691*r**4 + 3962*r**3 - 3962*r**3 + 615*r wrt r. -20292*r**2 Let t be (4 + 1)*(-2)/(-5). Suppose -60 = -t*x - 38. What is the derivative of -8 + x*u**3 + 0 - 3 wrt u? 33*u**2 Let v(m) = 3*m**2 + 53*m - 12. Let y be v(-20). What is the second derivative of -y*p**3 - 102*p**3 - 437 + 321 - 4*p + 3*p wrt p? -1380*p Let z(s) be the third derivative of -11*s**8/24 - s**7/70 - s**5/30 + 5*s**4/24 - 34*s**3/3 + 124*s**2 - 2*s + 2. What is the third derivative of z(i) wrt i? -9240*i**2 - 72*i Let p(x) be the third derivative of -52*x**7/35 - x**6/60 + 89*x**3/3 + 761*x**2. What is the derivative of p(j) wrt j? -1248*j**3 - 6*j**2 Let b(z) be the first derivative of 4*z**6/3 + 51*z**4/4 - 2673*z**2/2 + 2*z - 424. What is the second derivative of b(i) wrt i? 160*i**3 + 306*i Differentiate 272*d**3 + 32*d**3 + 669*d**3 - 865 + 639*d**3 - 10*d**3 with respect to d. 4806*d**2 Find the first derivative of 1568324*i**2 - 9*i - 7663 + 9*i - 1569128*i**2 wrt i. -1608*i Let q(s) be the third derivative of 5593*s**5/60 + 12737*s**3/6 - 8361*s**2. Find the first derivative of q(r) wrt r. 11186*r Let u(m) = -1445*m - 477. Let d(w) = 1446*w + 474. Let f(x) = 4*d(x) + 3*u(x). What is the first derivative of f(o) wrt o? 1449 Let j(v) = 4*v**3 - 3*v**2 + 2*v + 1. Let g be j(1). Let l = -32 - -35. What is the second derivative of g*r**3 + 8*r - 22*r + 12*r**l wrt r? 96*r What is the first derivative of 1071 - 6592 - 2742 - 5764 + 3615*c**3 + 513*c**3 wrt c? 12384*c**2 Let j(n) be the third derivative of -271*n**7/10 - 827*n**4/8 + 4401*n**2. Find the second derivative of j(t) wrt t. -68292*t**2 Let t(y) = -238*y**2 - 236*y**2 + 1 + 472*y**2. Let b(v) = 7*v**3 + 4*v**2 - 38*v - 2. Let g(i) = -b(i) - 2*t(i). What is the second derivative of g(n) wrt n? -42*n Suppose 0 = -j + 2*j - 30. Let r be (-2 + -1)*329/(-7) - 8. Find the third derivative of -27*x**2 - r + 133 - j*x**3 wrt x. -180 Find the third derivative of 12*v**2 + 17 + 2*v + 20 + 24 + 10*v**2 - 3415*v**5 - 84 wrt v. -204900*v**2 Find the third derivative of -50 + 7292*o**4 + 7426*o**4 + 3*o - 3*o**5 - 14083*o**4 + 299 - 2*o**2 wrt o. -180*o**2 + 15240*o Let h(a) = -1345*a - 460. Let x(m) = 1347*m + 447. Let v(w) = 7*h(w) + 6*x(w). Find the first derivative of v(d) wrt d. -1333 Let a(o) be the first derivative of -31*o**6/60 + 33*o**4/8 + 2*o**3/3 - 47*o**2/2 + 21. Let n(b) be the third derivative of a(b). Differentiate n(w) wrt w. -372*w What is the first derivative of 127*p**2 - 61*p**2 - 18*p + 1231 - 73*p**2 - 61*p - 19*p wrt p? -14*p - 98 Let l(b) be the first derivative of b**7/7 - 1277*b**5/5 - b**3/3 + 1947*b + 2936. Find the third derivative of l(x) wrt x. 120*x**3 - 30648*x Let k(w) = 56*w**3 - 20*w**2 + 7*w - 1617. Let m(c) = 55*c**3 - 18*c**2 + 6*c - 1616. Let f(r) = 6*k(r) - 7*m(r). Differentiate f(i) wrt i. -147*i**2 + 12*i Find the second derivative of -1406 + 6448*k**4 - 5*k - 3265*k**4 - 3317*k**4 + 3*k wrt k. -1608*k**2 Let l(t) be the first derivative of 913*t**5/5 - 16*t**3/3 + t**2/2 - 3804. Find the third derivative of l(y) wrt y. 21912*y Let a = 700 - 696. Find the second derivative of -2 + 64*k**a - 8*k - 19*k**4 - 198*k**4 - 164*k**4 - 3*k wrt k. -3804*k**2 What is the derivative of 435 - 569*x + 387 - 209 + 7*x**3 + 27*x**3 - 28*x**3 wrt x? 18*x**2 - 569 Let r(n) = 2*n**3 - n - 1. Let q(z) = 11*z**3 - 708*z**2 - 5*z + 2064. Let f(w) = -q(w) + 4*r(w). What is the second derivative of f(h) wrt h? -18*h + 1416 Let g(c) be the first derivative of -570*c**7/7 - 652*c**3/3 + 3*c**2/2 + 2186. What is the third derivative of g(z) wrt z? -68400*z**3 Let v(j) be the third derivative of -41/6*j**3 - 10*j**2 - 1/210*j**7 + 0*j + 0*j**6 + 8 + 0*j**4 - 1/60*j**5. Find the third derivative of v(q) wrt q. -24*q Find the third derivative of 0*l**2 - 4*l**2 + 2*l**4 - 4369*l**3 + 3882*l**3 + 0*l**2 - 37*l wrt l. 48*l - 2922 Let g(y) be the third derivative of y**8/112 - 2*y**7/15 - y**6/60 + y**5/30 + y**4/24 - 1870*y**3/3 - 223*y**2. Find the third derivative of g(x) wrt x. 180*x**2 - 672*x - 12 Let j(b) = 68*b**3 + 4*b**2 - 10*b - 1175. Let t(z) = -66*z**3 - 5*z**2 + 13*z + 1178. Let x(o) = 5*j(o) + 4*t(o). Differentiate x(y) with respect to y. 228*y**2 + 2 Let i(w) be the third derivative of 3*w**7/10 + w**6/40 + 998*w**3/3 + 1772*w**2. What is the first derivative of i(y) wrt y? 252*y**3 + 9*y**2 Suppose -10*h - 15*h = -675. What is the third derivative of 86*i**3 + 82*i - h*i**3 - 163*i + 101*i**3 - 2*i**2 + 84*i wrt i? 960 Let w be 9/(-6)*84/(-18). What is the third derivative of 20*b**3 + w*b**3 - 9*b**2 - 24*b**2 - 27*b**2 wrt b? 162 Let c(g) = 2*g - 3. Let t be c(2). Let n(x) = -22*x + 135. Let f be n(6). What is the first derivative of 3 - t - f*m**4 + 6*m**4 + 2 wrt m? 12*m**3 Let v = 366 - 360. Find the third derivative of 86*x**2 + 31*x**4 - 10*x**v - 25*x**4 + 16 - 16 wrt x. -1200*x**3 + 144*x Let g(u) = -171*u**5 - 306*u**2 - 30. Let r(f) = -3*f**5 + f**2 + 2. Let b(m) = -4*g(m) - 60*r(m). What is the third derivative of b(z) wrt z? 51840*z**2 Let q(b) be the first derivative of 19*b**6 + b**4/2 + 6*b**3 + 2*b**2 + 5*b - 11521. What is the third derivative of q(i) wrt i? 6840*i**2 + 12 Let j(m) be the second derivative of 761*m**3/3 - 1718*m**2 - 313*m. Differentiate j(t) wrt t. 1522 Let q = 189 - 6. What is the first derivative of 34 + q*v - 33*v - 142 + 68 wrt v? 150 What is the derivative of -1162 - 373 - 1326*n + 2050 wrt n? -1326 Let q(b) = -4*b + 3. Suppose 10 = 4*a + f - 6*f, 2*a + f + 2 = 0. Let y be q(a). What is the second derivative of 6*s**3 + 3*s - 2*s + 6*s**y + 4*s wrt s? 72*s Let y(j) be the second derivative of 143*j**4/4 + 7*j**3/6 + 171*j**2/2 - 1697*j + 1. Find the second derivative of y(q) wrt q. 858 Let q(u) = 11728*u**3 - 201*u**2 - 21*u - 6. Let f(y) = -2*y**2 + 3. Let t(x) = 2*f(x) + q(x). Find the third derivative of t(g) wrt g. 70368 Let i(o) = o + 6. Let y = -8 - -13. Let m be i(y). Find the third derivative of -31*d**6 - 9*d**2 + m*d**6 - 10*d**6 - 23*d**2 wrt d. -3600*d**3 Let k be -6*4/18*18/(-8). Let c be (-3)/k*-77*1/1. What is the first derivative of -149 + c + 40*w + 77 wrt w? 40 Suppose -5*l + 224 - 149 = 0. Find the second derivative of -10*k**5 - 31*k - l*k**4 + 67*k + 12*k**5 wrt k. 40*k**3 - 180*k**2 Let g(a) be the first derivative of 2578*a**3/3 + 333*a**2 + 2606. Find the second derivative of g(k) wrt k. 5156 Let a(d) be the first derivative of 48*d**5/5 + 2*d**4 - 3*d**2/2 - 463*d - 724. What is the second derivative of a(r) wrt r? 576*r**2 + 48*r What is the
{ "pile_set_name": "DM Mathematics" }
= -v - 2. What is the tens digit of h(v)? 1 Let p(z) = -z**2 - 6*z - 5. Let s be p(-5). Let c be 3*(-1 + 2) + 0. Suppose -4*d + 29 + c = s. What is the units digit of d? 8 Suppose 5*m - 28 - 17 = 0. Suppose 13*f - m*f - 208 = 0. What is the tens digit of f? 5 Let z(o) = -1 + 1 - o. What is the units digit of z(-7)? 7 Let n = -64 + 109. What is the tens digit of n? 4 Let p = -4 - 1. What is the units digit of (15/p)/((-1)/9)? 7 Let n(b) = 5*b**2 + 3*b. Let l(j) = 4*j. Let m(u) = 3*u - 1. Let q(x) = 2*l(x) - 3*m(x). Let z be q(5). What is the units digit of n(z)? 4 Let z(i) = i**2 + 3*i - 1. Let b be z(4). Let t be 2*3*b/(-6). Let c = -19 - t. What is the units digit of c? 8 Suppose 2*d - 4*d = 0. Suppose -5*q + 80 = -d*t + 2*t, -2*t + 10 = 0. What is the tens digit of q? 1 Let z = -75 + 126. What is the tens digit of z? 5 Suppose -4*u + 2*b = -2*b - 172, -3*u = 4*b - 101. What is the tens digit of u? 3 Let o(g) = g**3 + g + 1. Let y(b) = 6*b**3 - 9*b**2 + 11*b - 1. Let i(m) = 5*o(m) - y(m). Let s be i(8). Suppose s - 6 = 4*t. What is the units digit of t? 4 What is the tens digit of 12 - (2 + -4 - -3)? 1 Let s(u) = -3*u**2 - 9*u - 4. Let f be s(-7). Let q = -52 - f. What is the tens digit of q? 3 Suppose -18 = -2*f - 3*c, 0*c = 2*f - 3*c + 6. What is the units digit of f? 3 Let o(s) = 7*s - 1. Let d be o(1). Let r(u) = -u**3 + 6*u**2 + 2*u - 5. Let b be r(d). Suppose 0 = -b*c + 2*c + 45. What is the units digit of c? 9 Let n(g) = g**3 - 5*g**2 + 8*g - 5. Suppose 3*s - 30 = 3*q, -5*q = -2*s - 0*s + 35. What is the units digit of n(s)? 5 Suppose -2*v = -7*v - 15. Let t be (v*2)/(6/(-9)). Suppose -3*k - 3 + t = 0. What is the units digit of k? 2 Let s = 140 + -78. What is the units digit of s? 2 Let y(s) = s**3 - 5*s**2 - 4*s - 4. Let l = 13 + -9. Suppose 32 = 5*f - w, -14 = -l*f + 4*w - 9*w. What is the units digit of y(f)? 8 Suppose n - 5*p + 2*p + 31 = 0, 2*p + 71 = -3*n. Let g = 35 + n. What is the tens digit of g? 1 Let c = -17 - -48. What is the tens digit of c? 3 Let m(a) = -a**2 + 6*a + 1. Let p be m(3). What is the tens digit of 476/20 - (-2)/p? 2 Let x = 15 - 12. What is the tens digit of 0 + (20 - -3) - x? 2 Suppose 0 = -2*n + 6, 0*n - n - 481 = -4*w. What is the tens digit of w? 2 Suppose 3*m - 477 = -4*d + 481, 2*m - 4 = 0. What is the hundreds digit of d? 2 Let r = 19 - 5. What is the tens digit of r? 1 Suppose -4*u = -7 - 21. Suppose u*d = 2*d + 145. Let m = d - 16. What is the units digit of m? 3 Suppose -5*y + 21 - 6 = 0. Suppose 0 - y = -x. Suppose 0 = x*c - 0*c - 30. What is the tens digit of c? 1 Let u = -11 - -14. Suppose -2*k = -u*k + 5. Suppose -2*x - 11 - 15 = -4*t, k*x = 5*t - 40. What is the units digit of t? 5 Suppose 0 = 5*y, -6 = -n + 4*y + 185. What is the tens digit of n? 9 Let u be (5 + -11)*(-2)/4. Suppose 126 = -u*n + 21. What is the units digit of n/(-20) - (-2)/8? 2 Suppose 321 + 94 = 5*t. What is the tens digit of t? 8 Let p(h) = 5*h - 2*h**2 + 4*h**2 + 2 + 2. Let t be p(-6). Suppose 4*a - 2 - t = 0. What is the tens digit of a? 1 Suppose -200 = -4*a + 4*o, 2*o = o - 4. What is the tens digit of a? 4 Let m(c) = 7*c**2 + 3*c - 5. What is the units digit of m(2)? 9 Let g be (-1)/(-4) + 63/4. Suppose -2*z + 2 - g = 0. What is the units digit of 4/(-14) - 37/z? 5 Suppose 6 = 2*c - 4*i, -c - 4*i = -5*i - 4. Let l(v) = v + 6. What is the units digit of l(c)? 1 Suppose 3*v - 7 = h + 4*h, 23 = 5*v + 3*h. Suppose -j - v*t - 32 = -2*j, -j = -5*t - 28. What is the units digit of j? 8 Let r(j) = 6*j**3 - j**2 + j - 1. Let h = 3 - 9. Let q be ((-3)/((-9)/h))/(-2). What is the units digit of r(q)? 5 Suppose h + 34 = 3*k + 3*h, 5*k - 55 = -5*h. Suppose 0 = y - j - 2*j - k, -4*y + j + 26 = 0. What is the units digit of y? 6 Let t = -24 + 14. What is the units digit of ((-4)/t)/(11/1265)? 6 Let r(u) = u - 7. Let j be r(0). Suppose 0 = 2*t - 4*b + 16, -5*b - 13 = 5*t - 6*b. Let a = t - j. What is the units digit of a? 5 Let s(h) = 8*h + 1 - h**2 + 15 + 4*h - 1. What is the units digit of s(11)? 6 Suppose 0*f = -4*f + 192. Suppose 5 - 53 = 4*g - y, 3*y + f = -4*g. Let o = g - -25. What is the tens digit of o? 1 Suppose -16*l + 12*l + 284 = 0. What is the tens digit of l? 7 What is the tens digit of 268/8 + (-1)/(-2)? 3 Let u(a) = 3*a + 3. Let k be u(5). Suppose -c - 5*f = k, c + 4*f + 13 = -0*f. What is the units digit of c? 7 Suppose 0 = 3*g + 3 - 0. Let j be 6*(1 + (-3 - g)). What is the tens digit of (9/j)/(3/(-20))? 1 What is the units digit of (29 - 6)*-2*(-1 + -3)? 4 Let i = -22 + 45. Suppose -i = -2*d + 5*c, -3*c = 2*d + 3 - 2. Suppose -5*t - d*l - 3 + 1 = 0, 5*l = -2*t - 11. What is the units digit of t? 2 Suppose -11 = -3*u + 34. Suppose 8*z - 3*z = u. What is the units digit of z? 3 Suppose -2*d + 28 + 28 = 0. What is the tens digit of d? 2 Suppose 1 = -2*y + 7, 2*s - 303 = -5*y. What is the tens digit of s? 4 Suppose 39 + 381 = 6*c. What is the units digit of c? 0 Let m(c) = -6*c + 8*c - 1 + 16. What is the units digit of m(11)? 7 Let u be ((-4)/(-10))/((-7)/(-35)). Suppose -45 = -3*s + 15. Suppose -u*l = 3*w - 7, 5*w = -l + 4*l - s. What is the units digit of l? 5 Let n(j) = -j**3 + j**2 + j. Let k be n(2). Let o be (k/4)/((-2)/44). Suppose 2*x - o = -5*y, 3*x = 2*y + 4*x - 5. What is the units digit of y? 1 Let g(f) = -4*f - 3 + 6 - 1 - 4. What is the tens digit of g(-4)? 1 Suppose q = -3*p + 49, 5*p - 50 = -3*q + 77. Let o = -25 + 5. Let g = q + o. What is the units digit of g? 4 Let s = 0 - -2. Suppose o - 1 = s. What is the units digit of o? 3 Suppose h - 4*h + 132 = 0. What is the tens digit of h? 4 Let x(l) = l**3 + 8*l**2 - 5*l - 4. Let f be x(-8). Suppose -5*n + f = -3*n. What is the tens digit of n? 1 Suppose j - 2*l - 1 = 4, -4*l = j + 1. Suppose 9 = 2*s + j. Suppose 0*f = -s*f + 12. What is the units digit of f? 4 Let s(k) = -405*k**3 + 2*k + 2. What is the hundreds digit of s(-1)? 4 Let v = 3 + 9. What is the tens digit of v? 1 Let n = 50 - 31. Suppose -5*r + n + 166 = 0. What is the tens digit of r? 3 Let i = -146 - -260. What is the tens digit of i? 1 What is the hundreds digit of -4 + 22/(4/((-28)/(-1)))? 1 Let c(b) = 2*b**3 - 5*b**2 + b + 7. Let j be c(5). Suppose -3*s - 14 = -j. Suppose -2*i = -10, -4*i + 9*i = -2*a + s. What is the units digit of a? 8 Suppose 0 = 5*a + 4*x - 72, 90 - 12 = 5*a + x. What is the units digit of a? 6 What is the tens digit of 4/22 + (-7130)/(-110)? 6 Let a = 3 + -4. Let o be -2 + 5 + (a - 0). What is the units digit of (-2 + -1 + o)*-1? 1 Let o = 14 - 13. What is the units digit of 48/2 + 3*o? 7 Let b(s) = 7*s**3 - s**2 + s - 1. Let m be 2 - (-1 - -4) - -4. Let n = m + -2. What is the units digit of b(n)? 6 Let q(v) = 13*v**2 - v - 2. What is the units digit of q(-2)? 2 Let y be 8/8 - 1*-1. Suppose 2*l + 4*g = 20, y*g + g = l + 15. Let f = 9 - l. What is the units digit of f? 9 Let w(z) = -7*z - z**2 + 13 - 14 + z. What is the units digit of w(-5)? 4 Let v(d) = d**2 + 3*d + 6. Let g be v(-3). Suppose -4*b + 84 = -5*y + y, b + 2*y = g. What is the units digit of b? 6 Let m = 16 + -7. Let n be (-25)/(-3) + (-3)/m. Suppose 4*k - 5*s - n = -s, -5*k = -3*s - 12. What is the units digit of k? 3 Suppose -3*d - 28 = -5*c, -d - c = 2 + 2. Let o(w) = -2*w - 9. What is the units digit of o(d)? 3 Let w(k) = 6*k**2 - 4*k - 11. What is the tens digit of w(7)? 5 Let v be (18/(-3))/(2/(-3)). What is the units digit of 2/v - (-122)/18? 7 What is the units digit of (-164)/(-6) + (7 - (-114)/(-18))? 8 Let f(v) = v + 21. What is the units digit of f(16)? 7 Suppose -3 = -2*z + 3. What is the units digit of z? 3 Let z = -117 + 81. Suppose -580 = 2*i + 3*i. What is the units digit of i/z + (-2)/9? 3 Let v = 0 + 13. Suppose -4*c + 3*g = -2*g - v, -5 = 5*g. Suppose -l + 7 = -0*l - 3*p, 0 = -c*p. What is the units digit of l? 7 Let y(v) = -2*v**3 - v**2 + v + 1. Let k be y(-1). Let o be -1 + (k - -2) + 1. What is the units digit of 8/12 + 28/o? 0 Suppose c + 29 = 316. What is the units digit of c? 7 Suppose -8*d + 4*d + 4*s = -244, -5*s - 15 = 0. What is the tens digit of d? 5 Let v(i) = -i**2 - 17*i - 13. What is the tens digit of v(-14)? 2 Suppose 4*b - 20 = 16. Let y be (1 + 1)/4*0. Let k = b - y. What is the units digit of k? 9 Let z = -9 - -17. Let c = 6 - z. What is the units digit of
{ "pile_set_name": "DM Mathematics" }
11*g**2. Let b(h) be the first derivative of r(h). Give q(b(y)). 3200*y**4 Let b(q) = 2363*q. Let r(u) = 87*u**2 + 3. Let a(p) = -115*p**2 - 4. Let t(g) = -3*a(g) - 4*r(g). Determine b(t(m)). -7089*m**2 Let u(n) = -11524*n**2. Let d(l) = 873*l. Calculate u(d(f)). -8782774596*f**2 Let l(f) be the first derivative of 7*f**2 - 3*f - 7. Let x be l(1). Let m(p) = 5*p - x*p + p + 0*p. Let u(q) = 3*q**2. Calculate m(u(s)). -15*s**2 Let j(z) = -8175*z**2 + 1618. Let u(c) = 2*c. Give u(j(i)). -16350*i**2 + 3236 Let t(j) be the first derivative of 13*j**2/2 + 7. Let i(h) be the first derivative of 0*h + 0*h**2 + 2/3*h**3 - 5. Give i(t(l)). 338*l**2 Suppose -5*u - 4*c = -18, 2*u + 7*c = 6*c + 6. Let i(v) be the second derivative of 1/6*v**4 + 0*v**3 + 7*v + 0*v**u + 0. Let l(z) = 25*z. What is l(i(a))? 50*a**2 Let s(n) = -3022738*n**2. Let r(k) = 3*k. Determine s(r(v)). -27204642*v**2 Let p be 3 + (24 - (-5 - -1)). Let u(f) = p*f**2 - 62*f**2 - 20*f**2 - 50*f**2. Let q(x) = -x**2. Calculate q(u(i)). -10201*i**4 Let s(x) = -5*x**2 + 908460*x. Let z(m) = -2*m**2. What is s(z(t))? -20*t**4 - 1816920*t**2 Let x(b) be the third derivative of -b**5/120 + b**4/2 + 19*b**3/3 + 31*b**2. Let w(i) be the first derivative of x(i). Let u(m) = 3*m. Determine w(u(d)). -3*d + 12 Let l(w) = 14 - 10 - 3 - 1 + w. Let u(r) = -724*r**2 + 1. Give u(l(d)). -724*d**2 + 1 Let k(x) = -22*x**2. Suppose 0 = 2*i + 2*h - 104, -3*i = -h + 2*h - 146. Let r(b) = -i*b + 4*b**2 - 41*b + 88*b. Determine r(k(m)). 1936*m**4 Let q(s) = -3 + 3 + s. Let a(r) = 810*r - 16. Let j(c) = -1417*c + 31. Let f(i) = -7*a(i) - 4*j(i). Calculate f(q(x)). -2*x - 12 Let u = -2849 - -2852. Let k(z) be the first derivative of 0*z**2 - 7 + 0*z - 1/3*z**u. Let c(m) = 2*m. Calculate c(k(y)). -2*y**2 Let h(j) be the first derivative of 527*j**2 - 51 - 534*j**2 + 17. Let f(z) be the second derivative of -z**4/6 - z. Determine h(f(a)). 28*a**2 Let c(d) = 1182954*d**2. Let i(z) = 19*z. What is i(c(o))? 22476126*o**2 Let s(h) = 3*h. Let r = -166 + 170. Let l(u) = r*u - 21 + 21. Determine l(s(g)). 12*g Let i(d) = 2*d - 23. Let p(g) = 316*g + 306. Calculate p(i(q)). 632*q - 6962 Let l(b) be the third derivative of b**4/12 + 1669*b**2. Let i(h) = -343*h**2. Calculate l(i(n)). -686*n**2 Suppose 4*l - 33 = 2*p - 55, -3*p - 7 = 2*l. Let b(g) = -4 - 1 + g**2 + 9 + 15 - p. Let a(o) = -o**2. Calculate b(a(t)). t**4 + 18 Let f(k) = 190*k + 150*k - 375*k. Let r(o) = -2*o**2 + 0*o**2 + 4*o**2. Give f(r(w)). -70*w**2 Let g(s) = -12*s - 64. Let t(b) = -8*b - 40. Let p(w) = 5*g(w) - 8*t(w). Let n(x) = -955*x**2. Calculate p(n(c)). -3820*c**2 Let i(x) = -16*x**2. Let s(t) = -49*t. Let p(g) = 48*g. Let r(h) = 4*p(h) + 3*s(h). Calculate i(r(u)). -32400*u**2 Let l(n) = n + 13. Let h(d) = -d**3 - 9*d**2 - 11*d - 97. Let c be h(-9). Let j(x) = -776*x - c*x**2 + 776*x. Determine l(j(w)). -2*w**2 + 13 Suppose 39*g - 34*g = 215. Let b = g - 34. Let u(x) = 1 - 1 + b*x**2 - 11*x**2. Let s(o) = -o. Determine u(s(y)). -2*y**2 Let k(y) be the first derivative of -y**3/3 - 759. Let u(i) = 11*i + 32. What is u(k(w))? -11*w**2 + 32 Let r(a) = -32*a. Let y(p) = -344988*p**2. Calculate r(y(q)). 11039616*q**2 Let j(z) = 22*z - 7. Let b(g) = -28*g**2 - 5*g + 4. Determine j(b(t)). -616*t**2 - 110*t + 81 Let r(h) be the first derivative of 1 + 77 - 5*h**2 - h**2 + 2*h**2. Let j(a) = 3*a. Determine r(j(v)). -24*v Let m(v) = -189*v + 101*v + 86*v. Let b(l) be the first derivative of -122*l**3/3 + 16. Calculate m(b(r)). 244*r**2 Let s(y) = 347959856*y. Let b(i) = 2*i**2. What is s(b(l))? 695919712*l**2 Let i(z) = 3*z. Suppose 4960 = -0*u + 2*u. Suppose -175 - 43 = -35*b - 74*b. Let h(s) = -2480 - b*s + u. Determine i(h(m)). -6*m Let s(q) = -3 + 9302*q**2 - 4391*q**2 + 3 - 4296*q**2. Let u(f) = 7*f. Give u(s(j)). 4305*j**2 Let v(s) be the first derivative of -64*s**3/3 + 9. Let r(c) = -42*c + 72. Let x(w) = -12*w + 20. Let h(j) = 5*r(j) - 18*x(j). Give h(v(g)). -384*g**2 Let i(l) be the first derivative of l**3/3 + 1274. Let h(x) = -x - 87. Give i(h(g)). g**2 + 174*g + 7569 Let q(k) = 151886*k**2. Let a(i) = 462*i. What is q(a(u))? 32419155384*u**2 Let a(n) = -1554*n. Let v(l) = 7 - 5 - 2 - 139*l**2 + 135*l**2. What is a(v(w))? 6216*w**2 Let l(f) = -639610*f. Let a(g) = g + 22. What is l(a(r))? -639610*r - 14071420 Let c(s) be the first derivative of -13*s**2/2 - 2380. Let l(j) = 7*j**2 + 3 - 3. Give l(c(x)). 1183*x**2 Let s(x) = -3*x. Let q(n) = 17*n + 2955. Calculate s(q(o)). -51*o - 8865 Let r(o) = 19119*o**2 - 55 + 55 - 19120*o**2. Let p(z) = z**2 + 125*z - 2. Calculate p(r(d)). d**4 - 125*d**2 - 2 Suppose 0 = 11*f - 75 + 9. Let a(y) = -9*y + 11*y + f*y + 2*y**2 + 13*y. Let z(o) = -2*o**2. Determine z(a(p)). -8*p**4 - 168*p**3 - 882*p**2 Let g(a) = -a**2. Let n be 6 - (4*(-15)/20 + 7). Let h(y) = 50 + 795*y**n - 178 - 797*y**2. Determine h(g(t)). -2*t**4 - 128 Suppose m = 5*m - 8. Let k be (m + -8)/(2/6*-3). Let q(i) = 10*i - k*i + i - 3*i. Let v(n) = 13*n**2. What is v(q(s))? 52*s**2 Let s(p) = 20*p - 6. Let c(w) = -17*w + 5. Let g(y) = 6*c(y) + 5*s(y). Let z(d) = -4*d**2 - 6. Calculate z(g(o)). -16*o**2 - 6 Let d(y) = -20*y - 44. Let o(n) = 13*n + 31. Let p(a) = -7*d(a) - 10*o(a). Let f(q) = -9*q + 2*q + 4*q. What is f(p(r))? -30*r + 6 Let x(i) = 2*i**2. Let f = -50 + 43. Let c be -1 - (f + -6 + 3). Let v(m) = -m - c*m + 0*m - m. What is v(x(a))? -22*a**2 Let i(d) = -64700455*d + 25*d**2 + 64700455*d. Let v(r) = r**2 - 92*r. What is v(i(q))? 625*q**4 - 2300*q**2 Let a(m) = -526 + 271 + 2340*m + 255. Let g(f) = -f. Calculate a(g(u)). -2340*u Let h(z) = -49*z**2 + 36*z + 36. Let l(b) = -139*b**2 + 107*b + 102. Let y(k) = 17*h(k) - 6*l(k). Let w(u) = -72*u. Calculate y(w(v)). 5184*v**2 + 2160*v Let a = -100 - -102. Let i(g) = -40*g**2 + 93*g**2 - 34*g**a. Let t(z) = -z**2. Give i(t(u)). 19*u**4 Let c(f) = -3234845*f. Let p(d) = -6*d**2. Determine c(p(g)). 19409070*g**2 Let l(p) = -107*p. Let v(d) = -62 + 62 + 32*d**2 + d - 33*d**2. What is l(v(s))? 107*s**2 - 107*s Let i(r) be the second derivative of 0*r**4 + 0*r**2 - 1/60*r**5 + r**3 + 0 - 23*r. Let v(x) be the second derivative of i(x). Let m(t) = -18*t. Give v(m(p)). 36*p Let x(b) = -2*b - 6*b - 17*b. Let t be 54/(-405) + (-317)/(-15). Let c(q) = -17 + 2*q**2 - t - 21 + 59. What is x(c(v))? -50*v**2 Suppose -14*j + 3 + 39 = 0. Let k(m) = 2512 + j*m + 11*m - 2512. Let a(o) = -3*o. Give a(k(x)). -42*x Let s(y) = y**2. Let u(o) = 3*o - 3*o + 1749*o**2 - 1261 + 1261. Give u(s(x)). 1749*x**4 Let s(p) = 16*p. Let j = 113 - 66. Let t = j + -45. Let f(n) = -7*n + t*n + 2*n + 5*n. Determine f(s(r)). 32*r Let c(b) = 222*b - 115*b + 883*b + 2510*b. Let r(w) = -2*w**2. What is c(r(h))? -7000*h**2 Let l(c) = -9*c. Let d(s) = -50*s - 49*s + 108*s + 5335 - 5335. Give l(d(i)). -81*i Let h(d) = -4*d**2. Let r = 9 + -15. Let o(k) = -k - 3 + 32 - 28. Let y(a) = -3*a**2 + 6*a - 6. Let b(c) = r*o(c) - y(c). Determine h(b(z)). -36*z**4 Let i(j) = 123*j**2 - 10*j + 8*j + 439*j**2 - 1 + j - 50*j**2. Let u(x) = x. Calculate i(u(f)). 512*f**2 - f - 1 Let a(v) = 3*v**2 - 5*v. Let i = 452 - 176. Let z(w) = 281*w**2 - 556*w**2 + i*w**2. Determine z(a(t)). 9*t**4 - 30*t**3 + 25*t**2 Let x(i) = -i**2. Let o = 16 - 13. Suppose 3*m = 8*m - 5*l - 35, 0 = m - o*l - 5. Let k(q) = m*q**2 + 3*q**2 - 12*q**2 - q**2. Determine k(x(t)). -2*t**4 Let s(o) be the third derivative of 19*o**7/5040 - o**5/15 - o**4/24 - 60*o**2. Let g(z) be the third derivative of s(z). Let r(i) = -2*i**2. Give g(r(h)). -38*h**2 Let o(p) = -4*p. Let s be (-19)/(741/(-72)) - (-2)/13. Let l(n) = -3*n - s*n + n - 9*n. Determine o(l(y)). 52*y Let h(t) = 3*t. Let r(k) = -3853762*k. What is r(h(u))? -11561286*u Suppose 2*u + 72 = 82. Let k(g) = 4*g**2 + 50*g. Let w(y) = -2*y**2 - 26*y. Let m(v) = u*w(v) + 3*k(v). Let f(c) = c. What is m(f(d))? 2*d**2 + 20*d Let b(x) = -2254*x. Let r(v) be the first derivative of 2*v**2 + 2093. Calculate r(b(d)). -9016*d Let a(l) be the second derivative of 203*l**4/12 + 25*l**3/6 + l - 309. Let g(w) = w. What is g(a(y))? 203*y**2 + 25*y Let m(v) = v - 4. Let f(i) = i - 5. Let z(u) = 4*f(u) - 5*m(u). Let o(w) be the third derivative of 25*w**4/4 + 18*w**2 - 16*w. Calculate o(z(b)). -150*b Let l(k) = -4*k. Let b(n) = 20037461*n. Dete
{ "pile_set_name": "DM Mathematics" }
hat is k? 0, 2, 35 Determine r so that 3*r**3/4 - 33*r**2/4 + 93*r/4 - 63/4 = 0. 1, 3, 7 Let -3*r**4/11 - 58*r**3/11 - 316*r**2/11 - 342*r/11 - 81/11 = 0. What is r? -9, -1, -1/3 Let -2*g**5/7 - 10*g**4/7 + 12*g**3/7 = 0. Calculate g. -6, 0, 1 Factor c**2 - c - 6. (c - 3)*(c + 2) Determine y, given that 6*y**4 - 44*y**3 - 2*y**2 + 104*y + 56 = 0. -1, -2/3, 2, 7 What is d in 2*d**5/13 + 10*d**4/13 + 18*d**3/13 + 14*d**2/13 + 4*d/13 = 0? -2, -1, 0 Solve 5*q**3/2 + 825*q**2/2 + 3235*q/2 + 2415/2 = 0 for q. -161, -3, -1 Factor -21*q**3/8 + 11*q**2/4 - q/8. -q*(q - 1)*(21*q - 1)/8 Factor 9*z**3 - 1893*z**2 - 1265*z - 211. (z - 211)*(3*z + 1)**2 Find a, given that 16*a**2 - 9676*a - 2420 = 0. -1/4, 605 Suppose -3*v**4/4 + 21*v**3/4 + 57*v**2/4 - 21*v/4 - 27/2 = 0. What is v? -2, -1, 1, 9 Factor -21*f**3 + 150*f**2 - 333*f + 216. -3*(f - 3)**2*(7*f - 8) Let -r**2 - 696*r - 1388 = 0. What is r? -694, -2 Factor -i**2/6 - 89*i/3 - 176/3. -(i + 2)*(i + 176)/6 Solve -5*k**3 - 45*k**2 - 30*k + 80 = 0. -8, -2, 1 Factor -5*b**3 + 15*b**2 - 15*b + 5. -5*(b - 1)**3 Solve 4*r**2 + 492*r + 488 = 0 for r. -122, -1 Factor -4*x**4/3 - 4*x**3/3 + 4*x**2/3 + 4*x/3. -4*x*(x - 1)*(x + 1)**2/3 What is k in 2*k**4/9 - 22*k**3/9 + 22*k**2/9 + 118*k/9 + 8 = 0? -1, 4, 9 Factor -2*d**4 + 8*d**3 + 74*d**2 - 80*d. -2*d*(d - 8)*(d - 1)*(d + 5) Factor 5*z**2 + 990*z + 1960. 5*(z + 2)*(z + 196) Solve 10*n**5 - 176*n**4 + 728*n**3 + 500*n**2 - 738*n - 324 = 0. -1, -2/5, 1, 9 Factor y**3 - 3*y**2 - 10*y + 24. (y - 4)*(y - 2)*(y + 3) Suppose 3*f**5/2 + 33*f**4/2 + 141*f**3/2 + 291*f**2/2 + 144*f + 54 = 0. Calculate f. -3, -2, -1 Factor 4*w**2 - 12896*w + 10394176. 4*(w - 1612)**2 Factor -a**2/6 + 55*a/3 - 107/2. -(a - 107)*(a - 3)/6 Determine g so that -6*g**4/13 + 316*g**3/13 - 1778*g**2/13 - 2836*g/13 - 736/13 = 0. -1, -1/3, 8, 46 Factor -31*v**2/3 + 800*v/3 + 52. -(v - 26)*(31*v + 6)/3 Let 5*k**4/4 + 35*k**3/4 + 55*k**2/4 - 35*k/4 - 15 = 0. What is k? -4, -3, -1, 1 What is d in 14*d**5/13 - 990*d**4/13 + 4448*d**3/13 - 6096*d**2/13 + 1568*d/13 + 1056/13 = 0? -2/7, 1, 2, 66 Solve 3*z**4 + 327*z**3/4 + 69*z**2/4 - 327*z/4 - 81/4 = 0 for z. -27, -1, -1/4, 1 Solve 2*s**2 + 4712*s + 2775368 = 0 for s. -1178 Find t such that -t**2 + 869*t - 868 = 0. 1, 868 Suppose 2*s**2 - 448*s + 1760 = 0. Calculate s. 4, 220 Find h such that 3*h**4/10 + 19*h**3/10 - 3*h**2/5 - 38*h/5 - 12/5 = 0. -6, -2, -1/3, 2 Determine c, given that 2*c**5/17 - 2*c**3 - 72*c**2/17 - 40*c/17 = 0. -2, -1, 0, 5 Factor 5*h**4 + 15*h**3 - 20*h**2 - 60*h. 5*h*(h - 2)*(h + 2)*(h + 3) Determine o so that 3*o**3 + 153*o**2 - 27*o - 1377 = 0. -51, -3, 3 Let 34*p**5/9 - 26*p**4 + 278*p**3/9 + 274*p**2/9 - 104*p/3 - 40/9 = 0. What is p? -1, -2/17, 1, 2, 5 Determine x, given that -8*x**4/9 - 28*x**3/9 - 16*x**2/9 + 28*x/9 + 8/3 = 0. -2, -3/2, -1, 1 Factor 5*u**2/6 + 5*u/2 - 90. 5*(u - 9)*(u + 12)/6 Factor -4*q**2 + 152*q + 156. -4*(q - 39)*(q + 1) Factor 43*j**5/3 + 2*j**4/3. j**4*(43*j + 2)/3 Suppose 2*k**3 - 48*k**2 - 102*k - 52 = 0. Calculate k. -1, 26 Suppose -z**3/2 + 29*z**2/4 + 47*z/4 + 4 = 0. What is z? -1, -1/2, 16 Factor -x**4/2 + 13*x**3/2 + 19*x**2/2 - 73*x/2 + 21. -(x - 14)*(x - 1)**2*(x + 3)/2 Factor h**2 - 18*h + 81. (h - 9)**2 Let -r**3/7 - 5*r**2/7 - r - 3/7 = 0. Calculate r. -3, -1 Find x, given that -x**3/4 + 7*x/4 + 3/2 = 0. -2, -1, 3 Determine v so that -3*v**5/7 + 33*v**4/7 - 129*v**3/7 + 207*v**2/7 - 108*v/7 = 0. 0, 1, 3, 4 Factor y**5 + 9*y**4 + 18*y**3 - 4*y**2 - 24*y. y*(y - 1)*(y + 2)**2*(y + 6) Factor -2*a**4 + 36*a**3 - 194*a**2 + 288*a - 128. -2*(a - 8)**2*(a - 1)**2 Factor -s**4 - 3*s**3 + 418*s**2. -s**2*(s - 19)*(s + 22) Factor j**4/2 + 19*j**3 + 180*j**2 + 413*j - 1225/2. (j - 1)*(j + 7)**2*(j + 25)/2 What is k in 7*k**2/8 - 101*k/2 - 29/2 = 0? -2/7, 58 Determine a so that 5*a**4 + 4590*a**3 + 1048805*a**2 - 2111400*a + 1058000 = 0. -460, 1 Let -2*h**4 + 888*h**3/5 - 1572*h**2/5 + 104*h + 174/5 = 0. Calculate h. -1/5, 1, 87 Determine m so that -3*m**3 - 93*m**2 + 3*m + 93 = 0. -31, -1, 1 Let 25*o**4 - 160*o**3 - 1740*o**2 + 720*o = 0. Calculate o. -6, 0, 2/5, 12 Solve 3*z**5/4 - 15*z**4/2 + 15*z**3 + 15*z**2/2 - 63*z/4 = 0 for z. -1, 0, 1, 3, 7 Let -n**4 + 20*n**3 - 150*n**2 + 500*n - 625 = 0. Calculate n. 5 Suppose 3*v**4/2 - 9*v**3 - 12*v**2 + 9*v + 21/2 = 0. What is v? -1, 1, 7 Find l, given that -4*l**2 + 2888*l - 2884 = 0. 1, 721 Suppose 98*v**5/3 + 1960*v**4/3 - 4222*v**3/3 + 1996*v**2/3 + 344*v/3 - 176/3 = 0. What is v? -22, -2/7, 2/7, 1 Determine v so that v**5/2 + 19*v**4/8 - 33*v**3/8 - 109*v**2/8 + 149*v/8 - 15/4 = 0. -5, -3, 1/4, 1, 2 Solve p**3/6 - 5*p**2/6 - p = 0. -1, 0, 6 Find m such that -9*m**3/2 - 242*m**2 + 558*m - 112 = 0. -56, 2/9, 2 Solve h**3/10 - 219*h**2/10 = 0 for h. 0, 219 Let -5*f**4 + 105*f**3 + 360*f**2 + 20*f - 480 = 0. Calculate f. -2, 1, 24 Solve 27*o**5/2 - 81*o**4/2 + 27*o**3/2 + 77*o**2/2 - 25*o + 4 = 0. -1, 1/3, 4/3, 2 Find k such that 5*k**2 + 5225*k - 15720 = 0. -1048, 3 Find c such that 3*c**2/7 - 54*c/7 + 96/7 = 0. 2, 16 Find l, given that -l**2 - 934*l - 218089 = 0. -467 Factor 7*n**4 + 2*n**3 - 28*n**2 - 8*n. n*(n - 2)*(n + 2)*(7*n + 2) Factor 3*a**4/5 - 42*a**3/5 + 171*a**2/5 - 108*a/5 - 324/5. 3*(a - 6)**2*(a - 3)*(a + 1)/5 Determine j so that 25*j**3/8 + 3055*j**2/8 - 307*j + 123/2 = 0. -123, 2/5 Find n such that 3*n**4 + 225*n**3 + 1269*n**2 + 1863*n = 0. -69, -3, 0 Suppose x**3 - 18*x**2 + 45*x = 0. What is x? 0, 3, 15 Solve 8*y**4/5 + 14*y**3/5 + 4*y**2/5 - 2*y/5 = 0. -1, 0, 1/4 Solve -2*d**4/9 - 38*d**3/9 - 190*d**2/9 - 274*d/9 - 40/3 = 0. -12, -5, -1 Find u, given that 4*u**2 - 564*u + 560 = 0. 1, 140 Factor -u**3 + 34*u**2/3 - 65*u/3 + 6. -(u - 9)*(u - 2)*(3*u - 1)/3 Factor 3*j**3 + 561*j**2 - 1143*j - 1701. 3*(j - 3)*(j + 1)*(j + 189) Factor 3*c**4 - 12*c**3. 3*c**3*(c - 4) What is h in h**2 + 65*h + 64 = 0? -64, -1 Determine c, given that 25*c**5 + 70*c**4 - 536*c**3 - 464*c**2 + 4048*c - 3872 = 0. -22/5, 2 Solve b**4 + 28*b**3 + 173*b**2 + 266*b + 120 = 0. -20, -6, -1 Factor -2*o**2/25 - 46*o/25 + 48/25. -2*(o - 1)*(o + 24)/25 What is j in 3*j**5/2 - 3*j**3 + 3*j/2 = 0? -1, 0, 1 What is d in d**3 - 124*d**2 - 125*d = 0? -1, 0, 125 Find r such that 36*r**4 - 80*r**3 - 1028*r**2 - 1280*r + 336 = 0. -3, -2, 2/9, 7 Determine q, given that 2*q**4/7 - 146*q**3/7 - 300*q**2/7 = 0. -2, 0, 75 Factor u**3/7 - 6*u**2 - 283*u/7 - 240/7. (u - 48)*(u + 1)*(u + 5)/7 Factor -3*m**3/5 + 321*m**2/5 + 3*m/5 - 321/5. -3*(m - 107)*(m - 1)*(m + 1)/5 Solve -3*n**5/4 - 33*n**4/4 - 36*n**3 - 78*n**2 - 84*n - 36 = 0. -3, -2 Find z such that 14*z**5/9 + 290*z**4/9 - 350*z**3/3 + 1270*z**2/9 - 620*z/9 + 32/3 = 0. -24, 2/7, 1 Solve -3*j**4 - 72*j**3 + 3*j**2 + 72*j = 0. -24, -1, 0, 1 Factor 3*i**4/2 + 9*i**3 - 36*i**2 + 39*i - 27/2. 3*(i - 1)**3*(i + 9)/2 Let -3*d**5 - 17*d**4 - 37*d**3 - 39*d**2 - 20*d - 4 = 0. What is d? -2, -1, -2/3 Determine g so that -5*g**3/6 - 1055*g**2/6 + 5*g/6 + 1055/6 = 0. -211, -1, 1 Suppose 18*r**2/7 + 3588*r/7 + 178802/7 = 0. What is r? -299/3 Let -22*o**5/5 + 246*o**4/5 - 638*o**3/5 + 658*o**2/5 - 276*o/5 + 32/5 = 0. Calculate o. 2/11, 1, 8 Factor -8*z**3/3 + 2*z**2 + 6*z + 4/3. -2*(z - 2)*(z + 1)*(4*z + 1)/3 Suppose 8*c**5/7 + 398*c**4/7 + 4484*c**3/7 - 11546*c**2/7 + 1144*c - 1352/7 = 0. Calculate c. -26, 1/4, 1 Factor -z**2/8 - 121*z/8 + 112. -(z - 7)*(z + 128)/8 Determine c so that 75*c**5 + 545*c**4 - 430*c**3 + 80*c**2 = 0. -8, 0, 1/3, 2/5 Let 4*d**4 - 8*d**3 - 4*d**2 + 8*d = 0. What is d? -1, 0, 1, 2 Suppose -g**3/8 - 29*g**2/4 + 119*g/8 - 15/2 = 0. Calculate g. -60, 1 Find d, given that 64*d**3/3 + 1376*d**2/3 + 676*d/3 + 28 = 0. -21, -1/4 Factor -5*i**2/3 - 75*i + 2120/3. -5*(i - 8)*(i + 53)/3 Factor -26*n**2/5 - 1096*n/5 - 168/5. -2*(n + 42)*(13*n + 2)/5 Factor 2*r**3/19 - 42*r**2/19 + 78*r/19 - 2. 2*(r - 19)*(r - 1)**2/19 Factor 5*y**3 - 4495*y**2 + 4490*y. 5*y*(y - 898)*(y - 1) Suppose b**5/2 + 9*b**4/2 + 29*b**3/2 + 39*b**2/2 + 9*b = 0. What is b? -3, -2, -1, 0 Factor -p**3/2 + 4*p**2. -p**2*(p - 8)/2 Determine i, given that 132*i**5 + 32*i**4 - 224*i**3 - 24*i**2 + 92*i - 8 = 0. -1, 1/11, 2/3, 1 What is x in 30*x**4 + 164*x**3 - 654*x**2 - 356*x + 96 = 0? -8, -2/3, 1/5, 3 Find f, given that -3*f**2/5 + 216*f/5 = 0. 0,
{ "pile_set_name": "DM Mathematics" }
18 Let q(n) = -n**3 + 7*n**2 + 6*n - 5. Suppose 11*y = 16*y - 25. Let u be q(y). Calculate the highest common factor of 25 and u. 25 Suppose -3*v - 38 = 1. Let f = v + 28. Suppose 8*d + 105 = f*d. What is the highest common divisor of d and 30? 15 Let b be 285 + 4 + (-14 - -21). What is the highest common factor of b and 3108? 148 Let l(o) = 23*o**2 + 143*o + 1172. Let p be l(-9). What is the greatest common divisor of 276 and p? 92 Let g be ((-112)/(-252) - (-22)/(-9)) + 0. Let l be (-2)/(-4) + g/((-4)/71). Calculate the greatest common factor of 126 and l. 18 Suppose 830 + 87 = -7*l. Let f = -66 - l. What is the greatest common factor of 39 and f? 13 Suppose -2*g + 3096 = c, 5*c + 327*g - 324*g - 15522 = 0. What is the highest common factor of 592 and c? 148 Let u be (-243)/(-5) - (-171)/(-285). Calculate the highest common factor of u and 352. 16 Let s = 172 + -48. Suppose 0 = -4*x + 3*w + 396, 3*w = 86*x - 95*x + 813. Calculate the highest common divisor of x and s. 31 Let j be 24*(0 - -76)*150/30. Calculate the greatest common divisor of j and 95. 95 Let w(p) = 2*p**2 + 6*p - 8. Suppose 0 = -4*x - 2*i + 54, -1 = -i + 2. Let z = x + -17. Let y be w(z). Calculate the highest common divisor of 60 and y. 12 Let h(a) = -a**2 + 41*a - 133. Let x be h(14). Calculate the greatest common divisor of 455 and x. 35 Let n = 7036 - 7012. Calculate the greatest common factor of 132 and n. 12 Let d(v) = -3*v**3 + 4*v**2 + 3*v + 4. Let c(x) = x + 14. Let l be c(-17). Let f be d(l). Let y = f + -27. Calculate the highest common divisor of 17 and y. 17 Let t = -113 + 113. Suppose t = -2*y + 3*v + 83, 0 = -y - 13*v + 11*v + 24. What is the highest common divisor of 2 and y? 2 Let y = 60 - -230. Let m = -101 - -111. What is the highest common divisor of y and m? 10 Let m(n) = -n**3 + 25*n**2 - 144*n + 24. Let g be m(15). Let d be (14/4)/(g/39672). What is the greatest common divisor of d and 42? 42 Let k be (1 + 1)/((-8)/(-17901)) + 217/(-868). What is the highest common divisor of 75 and k? 25 Let l = 821 - 820. Let y = -22 - -38. What is the greatest common divisor of y and l? 1 Let l = -47 - -54. Let c be (1 + -8)*-2*100/8. Calculate the highest common factor of l and c. 7 Suppose -4*f + 1812 = -4*t, -12*f + 2*t = -14*f + 914. Let a = f - 453. Calculate the greatest common divisor of a and 70. 2 Suppose -5*s - 3*d - 432 = -9*s, -5*d = 0. Calculate the highest common divisor of 2322 and s. 54 Let j(a) = -177*a - 7705. Let l be j(-45). Calculate the highest common divisor of 2340 and l. 260 Suppose 39*h - 380 = 13*h + 36. What is the greatest common factor of 1 and h? 1 Let h = -3251 - -3332. Calculate the highest common divisor of 126 and h. 9 Suppose -73 = -3*p - 2*k, -2*p - k - 21 = -3*p. Suppose -4*s = -p*s + 171. Calculate the greatest common divisor of 4 and s. 1 Let s(d) = 36*d - 53. Let a be s(8). Suppose -163 + 53 = -22*v. Calculate the highest common factor of a and v. 5 Let l be ((-4)/8)/((-2)/48) + -7. Suppose k - 2*q - 89 = -0*k, -273 = -3*k + 4*q. Calculate the highest common divisor of l and k. 5 Let r = 4739 - 4579. Calculate the greatest common divisor of r and 2070. 10 Let x(f) be the third derivative of -3*f**3 - 21*f**2 + 1/4*f**4 + 0*f + 0. Let y be x(7). Calculate the highest common factor of 18 and y. 6 Suppose -10 = -4*s + 6. Let o(l) = -6 + 363*l**3 - 559*l**3 + 195*l**3 + 5*l**2. Let y be o(s). What is the greatest common divisor of 25 and y? 5 Let s = 9264 + -9203. What is the greatest common divisor of s and 183? 61 Suppose z + 6 = 0, 0 = -31*g + 29*g + 4*z + 36. Calculate the greatest common factor of 6414 and g. 6 Let o(s) = -1296*s - 1297*s + 2588*s + 107. Let v be o(10). Let a be 55/3 + 2/3. Calculate the greatest common factor of a and v. 19 Let n be (7 + -1 + 39/(-9))/(3/711). Calculate the greatest common factor of n and 948. 79 Let v = 70 + -47. Let t be (-900)/153 - -6 - (-5)/(-170)*-778. Calculate the greatest common divisor of v and t. 23 Suppose 0 = -43*g + 75 + 742. What is the highest common factor of 31 and g? 1 Suppose 0 = 3*p - 131 - 16. Let d(v) = v**3 - 35*v**2 + 312*v - 18. Let n be d(17). What is the greatest common factor of p and n? 7 Let d(k) = 145*k**2 + k. Let y be d(-1). Let u = -3045 - -3141. What is the highest common factor of u and y? 48 Suppose -23*n + 85 = -299 - 53. Calculate the highest common divisor of 5168 and n. 19 Let g be (0 + 11554)/(1/30*60). Calculate the highest common divisor of 371 and g. 53 Let c(q) = 2*q**2 - 20*q - 4. Let o be c(12). Suppose 0 = -13*b + 47 + o. Suppose -k + b*k = 264. Calculate the greatest common factor of k and 4. 4 Let h(a) = -25*a**3 - 5*a**2 + 8*a + 15. Let b be h(-3). Calculate the greatest common factor of 276 and b. 69 Let c = 372 - 391. Let z be (c/(-57))/((-4)/(-1020)). Calculate the highest common divisor of 221 and z. 17 Suppose 5*c + 2185 = -5*o + 2*o, 0 = -3*o - 15. Suppose 5*f - 4*f = -298. Let i = f - c. What is the greatest common factor of 34 and i? 34 Let x(p) = p**2 - 13*p - 99. Let a be x(18). Let i be 93*(-6 - 57/a). Let m = 39 - 8. What is the greatest common factor of m and i? 31 Let d = -277 - -584. Let v = d - 299. Calculate the highest common divisor of v and 6. 2 Let q = 307 + -304. Suppose 0 = -m - 2*r + 6*r + 103, -2*m + 195 = q*r. What is the highest common divisor of 22 and m? 11 Let q be ((-3)/4)/(63/(-2352)). Calculate the highest common factor of 875 and q. 7 Let a be 13580 + 21 - (-2 - (-5)/(-3 + -2)). Calculate the greatest common factor of 76 and a. 76 Let c(y) = 147*y**2 + 1752*y + 10. Let v be c(-12). Calculate the highest common factor of 49 and v. 7 Let c = -18 - -32. Suppose -5*x + c = -86. Suppose 94 = 2*j - 2*f, 0 = 4*j + 18*f - 14*f - 212. Calculate the greatest common factor of x and j. 10 Let n be 22/4 - 3/(-6). Suppose -h + n*h = 50. Let o = -7991 + 8071. Calculate the greatest common factor of h and o. 10 Let s(j) = -24*j + 8. Let t be s(-3). Let v be 1010/12 + 12/(-72). Suppose 2*n = -n + 4*r + v, 4*n = -r + 131. Calculate the greatest common divisor of n and t. 16 Let k = -64 + 67. Suppose -22*q + k*o = -23*q + 116, 3*q - 336 = -3*o. Calculate the highest common factor of q and 30. 10 Let f be 81/(-2) - 25/(-50). Let x be (-410)/f*(4 + 0). What is the greatest common factor of x and 328? 41 Suppose 812 = 14*r - 5348. Suppose r = 9*s - 20*s. Let d = -16 - s. Calculate the greatest common divisor of d and 72. 24 Suppose 27*g = 17 + 901. Calculate the highest common divisor of g and 238. 34 Let f be (-260)/8 - 2/4. Let a be f/12 + 3 + 782/8. Suppose 110 = 103*r - a*r. What is the highest common factor of 77 and r? 11 Suppose -3*k = -24*k + 19320. Let d = 1453 - k. Calculate the greatest common factor of d and 13. 13 Let a be -3 + (-6 + 81 - -4). Suppose -2*x + 11 = 3. What is the greatest common divisor of x and a? 4 Let m = -180 - -183. Suppose 2*p + 2*p = g, g = m*p + 1. Calculate the greatest common factor of 9 and p. 1 Suppose 0 = 3*q - s - 1 - 10, -5*s = 2*q + 21. Suppose 0 = -q*d + 1 + 23. Suppose -d*m - 252 = -13*m. Calculate the highest common factor of 28 and m. 28 Let o(p) = 18*p + 936. Let h be o(-51). Calculate the highest common divisor of h and 477. 9 Let i be (-2 - (0 - -1))*(18 - 19). Let s be (-10)/((i - 144/(-76)) + -5). What is the greatest common divisor of s and 380? 95 Let a(y) = y**3 - 2*y**2 - y - 4. Let z be a(3). Let f be (-2 - (1 - z)) + 5. Suppose -14*b + 4*b = -40. Calculate the greatest common factor of f and b. 4 Suppose 4*m - 754 = -2*p, 3*p - 196 = -2*m + 179. Let w be (-1)/((-4)/16) + -27. Let b = w - -44. Calculate the highest common divisor of b and m. 21 Let m = 7691 - 5754. Calculate the highest common divisor of 13 and m. 13 Suppose -13 = 4*z - 17. Let x be (z + 1)/((-8)/(-12)). Suppose -4*g + x*a = -159, -2*a + 106 = 4*g - 28. Calculate the greatest common divisor of 54 and g. 18 Suppose -2*d - 10 = -v + 3, 2*d = -8. Suppose -10 + 660 = v*r. What is the greatest common factor of 26 and r? 26 Let n(u) = 342*u + 171. Let i be n(-15). Let a be (-3)/(-8) + i/(-152). Calculate the highest common divisor of a and 11. 11 Suppose -2*d + 973 = -3*r - 32, 0 = -5*d - 3*r + 2544. Calculate the highest common divisor of 52 and d. 13 Suppose 11*y - 33*y + 704 = 0. Let o(b) = -b**3 + 32
{ "pile_set_name": "DM Mathematics" }
). k*(k - 3)*(k - 1)*(k + 1) Let l(g) = -g**2. Let w(v) = -v**3 + 3*v**2 + 5*v + 2 - 5*v**2 + 0 + 2*v**3. Let b(a) = 6*l(a) - w(a). Factor b(y). -(y + 1)**2*(y + 2) Determine j, given that -9/2*j**4 + 0 + 5/2*j**2 - 1/2*j - 3/2*j**3 = 0. -1, 0, 1/3 Let y(b) be the second derivative of 0 + 2/3*b**3 + 3*b + 1/60*b**5 + b**2 + 1/6*b**4. Let u(c) be the first derivative of y(c). Suppose u(x) = 0. Calculate x. -2 Let g(t) be the second derivative of t**7/840 - t**6/80 + t**5/20 + t**4/4 + 5*t. Let d(c) be the third derivative of g(c). Suppose d(f) = 0. Calculate f. 1, 2 Suppose -32*n + 10 = -27*n. Suppose 2/11*u + 0 - 8/11*u**3 - 6/11*u**n = 0. Calculate u. -1, 0, 1/4 Let d(q) = -q**4 - q**3. Let u(j) = -j**4 - 3*j**3 - 2*j**2. Let p(v) = 10*d(v) - 5*u(v). Factor p(h). -5*h**2*(h - 2)*(h + 1) Suppose 16 = 2*n + 3*z, -3*n - 3*z = -8*n + 19. Let m(v) = v**2 - v. Let h be m(2). Factor -5*w + 6*w**h - 8 - 2*w**3 + n*w. -2*(w - 2)**2*(w + 1) Determine c so that 1/2*c**3 + 0 + c + 3/2*c**2 = 0. -2, -1, 0 Let m = -1031 + 2065/2. Find i, given that 0*i + 0*i**2 - m*i**4 + 0 + 0*i**3 = 0. 0 Suppose 24*y - 9 = 21*y. Let h = -2 + 2. Factor 0 - 4/3*q**y + 0*q - 14/3*q**4 + h*q**2. -2*q**3*(7*q + 2)/3 Let u(a) be the second derivative of -a**4/18 + a**3/9 - 6*a. Factor u(z). -2*z*(z - 1)/3 Factor 2*j**4 + 4/3 - 6*j - 22/3*j**3 + 10*j**2. 2*(j - 1)**3*(3*j - 2)/3 Let j(x) = 51*x**3 + 72*x**2 - 50*x + 10. Let v(c) = 103*c**3 + 145*c**2 - 99*c + 21. Let q(f) = -10*j(f) + 4*v(f). Factor q(k). -2*(k + 2)*(7*k - 2)**2 Let n(o) = -9*o**2 - 4*o + 5. Let u(c) = c**2 + c - 1. Let m(w) = -5*n(w) - 40*u(w). Factor m(j). 5*(j - 3)*(j - 1) Let z be 0/(16/(-4) - -3). Let u(n) be the third derivative of -1/1008*n**8 + 0*n + 0*n**6 - 1/630*n**7 + 0 + 0*n**3 + 0*n**5 + z*n**4 - 2*n**2. Factor u(i). -i**4*(i + 1)/3 Let a(s) be the second derivative of -4/135*s**6 + 1/189*s**7 - 5*s - 2/27*s**4 + 1/27*s**3 + 1/15*s**5 + 0 + 0*s**2. Factor a(m). 2*m*(m - 1)**4/9 Let h(x) be the second derivative of -x**4/54 - 5*x**3/27 - 2*x**2/3 + 33*x. Factor h(v). -2*(v + 2)*(v + 3)/9 Let y(b) be the third derivative of -b**6/420 - b**5/210 - 17*b**2. What is v in y(v) = 0? -1, 0 Let q = -4 - -7. Determine p, given that p - 6*p**2 + 3*p - 4*p**3 + 6*p**q = 0. 0, 1, 2 Let l be (-13)/((-715)/10) + 5/(-88). Let 0 + 1/8*f**3 + 0*f - l*f**2 = 0. Calculate f. 0, 1 Let b(s) be the third derivative of 0*s + 4*s**2 + 1/360*s**6 + 1/6*s**4 - 1/6*s**3 + 0 - 1/30*s**5. Let c(i) be the first derivative of b(i). Factor c(p). (p - 2)**2 Let y(k) = -3*k**2 + 9*k + 14. Let r be y(4). Suppose 2/7*f**4 + 2/7 + 8/7*f**3 + 12/7*f**r + 8/7*f = 0. Calculate f. -1 Let j = -27 + 30. Factor 0*a**2 - 6/5*a + 2/5*a**j + 4/5. 2*(a - 1)**2*(a + 2)/5 Let s(g) be the third derivative of -10*g**8/63 + 32*g**7/315 + g**6/12 - 17*g**5/180 + g**4/36 - 63*g**2. Solve s(x) = 0 for x. -1/2, 0, 1/4, 2/5 Let g(n) be the third derivative of n**6/48 + n**5/40 - n**4/24 + 7*n**2. Solve g(k) = 0 for k. -1, 0, 2/5 Let b(v) be the second derivative of 1/6*v**4 + 1/3*v**3 + 0 - 2*v - 2*v**2. Factor b(l). 2*(l - 1)*(l + 2) Find d, given that 2*d**3 + 4*d**2 + 35 - 4*d - 47 - 6*d = 0. -3, -1, 2 Let m(c) be the first derivative of 2/9*c**2 + 2/27*c**3 + 4 + 2/9*c. Determine r, given that m(r) = 0. -1 Let f = 9 + -7. Factor 5 - 4 + f + 3*o**2 - 6*o. 3*(o - 1)**2 Factor -48*x - 12*x - 32 - 12*x**3 + 2*x**2 + 102*x**2. -4*(x - 8)*(x - 1)*(3*x + 1) Let n(g) = -5*g**4 + 4*g**2 + 3*g - 5. Let k be (0 + -8)*2/2. Let z(x) = -14*x**4 + 12*x**2 + 8*x - 14. Let v(c) = k*n(c) + 3*z(c). Find a such that v(a) = 0. -1, 1 Let a(i) = -3*i**3 - 53*i**4 + 27*i**2 - 12*i**3 + 26*i**4 + 3 + 18*i. Let s(t) = -t**3 - t**2. Let b(f) = a(f) + 3*s(f). What is h in b(h) = 0? -1, -1/3, 1 Let w(t) be the third derivative of -t**7/105 - t**6/15 + 17*t**2. Factor w(i). -2*i**3*(i + 4) Suppose -6*n + 3*n - 4*k - 24 = 0, -n + 2 = -2*k. Let u(f) = -f. Let t be u(n). Find p such that -p**t - p**3 + 2*p**5 - 3*p**5 + 3*p**4 = 0. 0, 1 Factor 16/7 - 24/7*a + 12/7*a**2 - 2/7*a**3. -2*(a - 2)**3/7 Solve -4/7*g**4 + 1/7*g**5 + 4/7*g**2 + 0 - 4/7*g + 3/7*g**3 = 0. -1, 0, 1, 2 Let s = -472/5 - -98. Let 56/5*c - s*c**5 - 38/5*c**3 + 16/5 - 12*c**4 + 44/5*c**2 = 0. What is c? -2, -1, -2/3, 1 Let d(u) be the first derivative of u**7/7 - 2*u**6/15 - 2*u**5/5 + u**4/3 + u**3/3 - u - 3. Let x(c) be the first derivative of d(c). What is k in x(k) = 0? -1, -1/3, 0, 1 Let w(k) be the first derivative of -k**4/7 - 2*k**3/7 - k**2/7 + 3. Find g such that w(g) = 0. -1, -1/2, 0 Let 12*b**4 + 57*b**5 - 18*b**3 + 8*b**2 + 4*b**4 - 2*b**3 - 61*b**5 = 0. Calculate b. 0, 1, 2 Let s(o) be the second derivative of -o**9/4536 - o**8/2520 + o**7/1260 + o**6/540 - o**3/6 + 4*o. Let q(j) be the second derivative of s(j). Factor q(k). -2*k**2*(k - 1)*(k + 1)**2/3 Suppose 0*m - 8 = -4*m. Suppose 1 - 72*k + k**4 - m*k**2 + 72*k = 0. Calculate k. -1, 1 Let y(f) = 2*f**2 + 3*f - 9. Let a be 8*(0 - 4/8). Let m(b) = -2*b**2 - 2*b + 8. Let u(v) = a*y(v) - 5*m(v). Find o such that u(o) = 0. -1, 2 Find r such that 0*r**4 + 0 + 3/2*r**3 + 0*r + r**2 - 1/2*r**5 = 0. -1, 0, 2 Suppose 2*r**2 - 2*r**5 + 2*r**3 + 7*r**3 - r**5 - 8*r**2 = 0. What is r? -2, 0, 1 Let a = -39 + 69. Suppose -3*y = -0*y - a. Factor 4*j - 4*j**2 - 4*j**4 - y*j**3 - 4*j. -2*j**2*(j + 2)*(2*j + 1) Let b(t) = -t**2. Let s be b(1). Let h be s - (-5)/((-5)/(-3)). Suppose h*k**4 - 2*k**4 + 2*k**5 + 2*k**3 + 4*k**4 = 0. Calculate k. -1, 0 Let -2*w**4 - 183 - 5*w**3 + 0*w**2 + 175 + 0*w**2 + 4*w + 10*w**2 + w**5 = 0. What is w? -2, -1, 1, 2 Let g(t) be the second derivative of t**5/40 - t**3/4 + t**2/2 - 14*t. Find s, given that g(s) = 0. -2, 1 Let c(a) = -2*a**4 - a**2 + 3. Let h(p) = 2*p**4 + 2*p**2 - 4. Suppose -3*o + 4*o = -6. Let d(g) = o*c(g) - 5*h(g). Factor d(z). 2*(z - 1)**2*(z + 1)**2 Let q(f) be the second derivative of f**4/4 - f**3/2 + 2*f. Solve q(a) = 0. 0, 1 Let t = 2 - -5. Factor 1 + 2 + 3*o**3 - 4*o - 3*o**2 - 6*o**3 + t*o. -3*(o - 1)*(o + 1)**2 Let j(n) be the third derivative of 0*n**4 + 1/60*n**6 + 0 + 1/105*n**7 - 3*n**2 + 0*n**3 + 0*n + 0*n**5. Let j(f) = 0. What is f? -1, 0 Let c(t) be the third derivative of t**9/90720 - t**8/15120 - t**7/7560 + t**6/540 - t**5/10 + 6*t**2. Let p(g) be the third derivative of c(g). Factor p(z). 2*(z - 2)*(z - 1)*(z + 1)/3 Let t be 3/70*3684/(-9). Let d = t - -134/7. Suppose -8/5*r - d - 2/5*r**2 = 0. What is r? -2 Suppose 0 = 6*n - 218 + 206. Let y + 0*y**n - 1/2*y**4 - y**3 + 1/2 = 0. What is y? -1, 1 Let b = -14 - -17. Let f(p) = -3*p**3 + 3*p**2 - 9*p - 5. Let h(a) = -2*a**3 + 2*a**2 - 5*a - 3. Let u(q) = b*f(q) - 5*h(q). Let u(n) = 0. Calculate n. -1, 0, 2 Suppose -4*y = -3*y - 19. Let m = 23 - y. What is r in 1/2 + 12*r**3 + 11*r**2 + 9/2*r**4 + m*r = 0? -1, -1/3 Factor 1/2*s - 1/2*s**3 - 1/2*s**2 + 1/2. -(s - 1)*(s + 1)**2/2 Suppose 0 = 4*r - 3*u - 5 + 1, 0 = -5*r - 5*u + 5. Suppose -3*j**2 - 2 + 0 + 4 + r = 0. Calculate j. -1, 1 Let f be -1*2 - 8749/(-4368). Let a(g) be the third derivative of -1/60*g**5 + 0*g + 0*g**4 - 1/70*g**7 + f*g**8 + 1/40*g**6 + 0*g**3 + 0 - g**2. Factor a(s). s**2*(s - 1)**3 Factor 0*w + 3/4*w**2 + 0. 3*w**2/4 Let y(d) be the second derivative of -5*d**5/16 + 5*d**4/8 + 3*d**3/2 + d**2 - 18*d. Factor y(i). -(i - 2)*(5*i + 2)**2/4 Factor -1/7 - 3/7*p + 4/7*p**2. (p - 1)*(4*p + 1)/7 Let z(l) be the first derivative of l**6/330 + l**5/110 + l**4/132 - 2*l**2 - 2. Let k(r) be the second derivative of z(r). Let k(d) = 0. What is d? -1, -1/2, 0 Let r = 15 - 17. Let l be (-5)/((-90)/(-32)) - r. Solve 2/9 - l*j**2 + 0*j = 0. -1, 1 Let h(z) be the first derivative of -50*z**5 - 140*z**3 + 68*z**2 - 16*z + 275/2*z**4 + 2. Find q, given that h(q) = 0. 2/5, 1 Let v(d) be the first derivative of d**5/90 + d**4/27 + d**3/27 - d - 2. Let c(a) be the first derivative of v(a). Factor c(m). 2*m*(m + 1)**2/9 Let c(r) = -2*r - 16. Let n be c(-9). Let s(q) be the first derivative of 3 - q - 3*q**4 - 4/5*q**5 - 3*q**n - 13/3*q**3. Factor s(j). -(j + 1)**2*(2*j + 1)**2 Solve 2*k + 0*k + 8*k**2 + k - 36 - 2*k**3 + 3*k = 0. -2, 3 Let t(r) = -9*r**2 - 14*r + 10. Let m(j) = 36*j**2 + 57*j - 39. Let u(o) = -2*m(o) - 9*t(o). Determine x so that u(x) = 0. -2, 2/3 Suppose x - 4 = -1. Factor k*
{ "pile_set_name": "DM Mathematics" }
ivisor of c and 110? 22 Let m = 78 + 26. Let h = m - 94. Calculate the greatest common divisor of h and 50. 10 Suppose l - 658 = -3*z, z + 10*l - 5*l = 210. Calculate the greatest common factor of 20 and z. 20 Let m(r) = -17*r + 34. Let d be m(-6). What is the highest common divisor of d and 24? 8 Let o(d) = -5*d**2 - 4*d - 13. Let u be o(-15). Let s = u - -1519. Calculate the highest common divisor of s and 49. 49 Let r(v) = 30*v - 168. Let n be r(6). What is the greatest common divisor of n and 78? 6 Suppose 9*x = 4*x + 10. Suppose 4*a + r - 2*r - 36 = 0, 28 = 2*a - 3*r. Calculate the highest common factor of x and a. 2 Let o(t) = -36*t**3 - t**2 - t. Let g be o(-1). Suppose 139*m + 180 = 141*m. Calculate the greatest common divisor of m and g. 18 Let h = 0 - -42. Suppose 3*x - 188 = b, -3*x + 5*b - 129 = -313. Calculate the greatest common factor of x and h. 21 Suppose -2*h = 5*w - 44, 4*w = -2*h + 1 + 45. Let p(v) = -5*v + 2*v + h + 3*v - v. Let z be p(12). Calculate the highest common factor of 30 and z. 15 Let k be (-4 - -1 - -3)/(-4). Suppose -100 = -5*d + 2*j, k = -3*d + 5*j + 72 + 7. What is the greatest common divisor of 36 and d? 18 Let l = -40 + 44. Suppose l*k = 2*k + 104. Let p(o) = -o**3 - 6*o**2 - 2*o + 1. Let m be p(-6). Calculate the greatest common factor of m and k. 13 Let z be (-4 + -24)/(2/(-28)). Calculate the greatest common factor of 49 and z. 49 Suppose 0 = 40*n - 21*n - 114. Calculate the highest common divisor of n and 27. 3 Let f be 30 - 1 - ((-54)/(-9) - 10). Let m = 38 + -27. Calculate the highest common factor of f and m. 11 Suppose 27*j = 25*j + 6. Suppose -j + 59 = y. What is the highest common factor of y and 7? 7 Let y(g) = g**2 - 2*g - 40. Let p be y(13). Let h = -91 + p. What is the highest common factor of 36 and h? 12 Let s be (-24)/(-144) + 62/(-12). Let m be 1*(2/1 - -2). Let l be 10 - (s - (m + -8)). What is the greatest common divisor of l and 77? 11 Let z(w) = w**3 + 27*w**2 + 18*w - 1. Let m be z(-26). Let j = 302 - m. What is the greatest common factor of j and 38? 19 Suppose 5 - 3 = -y. Let v be (10/(-15))/(y/12). Suppose 365 = v*t + 5*p, -t + 51 = p - 39. What is the highest common factor of t and 34? 17 Let w = -2 - -42. Calculate the highest common divisor of w and 280. 40 Let p(h) = 31*h + 62. Let i be p(13). Calculate the greatest common divisor of 15 and i. 15 Suppose 0*v + 5*v = -3*d + 85, 0 = v - 4*d + 6. Suppose -43976 = -19*i - 43444. What is the greatest common factor of i and v? 14 Suppose 3*l + 2*u - 424 = -l, 3*u + 414 = 4*l. Calculate the highest common factor of l and 270. 15 Let j = -31 - -32. Let i be j*-1 + (-220)/(-10). Calculate the greatest common divisor of i and 14. 7 Let g be (-2)/(-15) + (-20)/150. Suppose g = -0*p - 3*p + 9. Suppose -j = p*j - 300. Calculate the greatest common divisor of 25 and j. 25 Let c be ((-1)/(-1))/(1/9). Suppose -69 = -3*o + 3*v + 6, -5*v + 10 = 0. What is the highest common factor of o and c? 9 Suppose 0 = -2*f - 4*f - 78. Let c = f + 32. What is the greatest common factor of c and 19? 19 Suppose 2*f - l + 4*l - 14 = 0, -l + 2 = 0. Suppose f*n - 10 = 2*r - 0, 9 = 3*r. What is the greatest common factor of 1 and n? 1 Suppose -27*i = -30*i, 600 = 4*r + i. Calculate the highest common factor of 4 and r. 2 Let g = 129 + 22. Let z = g - 95. What is the greatest common factor of 28 and z? 28 Let d = -254 - -744. Suppose -m = -6*m + d. What is the highest common divisor of 14 and m? 14 Let w(v) = -v**3 - 50*v**2 - 401*v + 13. Let u be w(-10). Suppose -s + 828 = 3*s. Calculate the highest common divisor of u and s. 23 Suppose -4*g - 5*x + 40 = -34, -3*g + 58 = 5*x. Calculate the highest common divisor of g and 160. 16 Suppose -5 = p, 2*y - 81 = 6*p - 3*p. Let v = -23 - -25. Let i be (v/6)/((-18)/(-162)). What is the greatest common factor of y and i? 3 Let x(v) = 26*v + 148. Let f be x(-3). What is the highest common divisor of 4200 and f? 70 Let t = -251 - -275. Calculate the greatest common factor of t and 6. 6 Suppose 0 = -l + 53*d - 49*d + 1400, 0 = 2*l - 3*d - 2810. What is the greatest common divisor of l and 44? 44 Let a(k) = 2*k**2 + 11*k + 9. Suppose -21*m + 15*m - 54 = 0. Let q be a(m). What is the greatest common divisor of q and 9? 9 Suppose -y = 3*z - 13, 4*z + 1 = -3. Let w(v) = 2*v - 1. Let a be w(5). Let i = a - 5. Calculate the highest common divisor of y and i. 4 Let m be (-7)/(-4) + (-168)/(-32). Let k(l) = l + 49. Let a be k(0). Calculate the greatest common divisor of a and m. 7 Suppose -5*p + 53 = -7. Let o(v) = -v**3 + 12*v**2 + 16*v - 11. Let w be o(13). Let h = 46 - w. Calculate the greatest common divisor of p and h. 6 Let j be 130/14 - 4/14. Let l = 213 + -150. What is the highest common factor of l and j? 9 Let u(a) = -7*a - 16. Let k = -14 + 10. Let y be u(k). Let o(x) = -x**3 - 3*x**2 - x + 1. Let i be o(-3). Calculate the greatest common factor of i and y. 4 Let g be 604/(-10) - 2/(-5). Let l = 48 - g. What is the greatest common divisor of 12 and l? 12 Suppose 12 = 5*b + 2. Suppose 5*n = i + 109, 13*i - 111 = -5*n + 12*i. What is the highest common divisor of n and b? 2 Let v = -205 - -214. Suppose 3*x + 2*x = 10. Suppose -x*t = -6*t + 396. Calculate the highest common divisor of v and t. 9 Suppose 0 = 2*d - 3*k - 30, 5*d - 4*k - 13 = 48. Let l = 11 + d. What is the highest common factor of 8 and l? 4 Let b(f) = -f + 22. Let u be b(11). Suppose 30*y - 33*y = -132. Calculate the highest common divisor of u and y. 11 Let m = 204 - 120. Calculate the greatest common divisor of 24 and m. 12 Let y(x) = -x**3 + 9*x**2 + 9*x + 18. Let t be y(8). Suppose -3*b - 14 = -4*b. What is the highest common factor of b and t? 14 Suppose 5*v - 3*f - 1380 = 0, -v + 253 = -f + 5*f. What is the highest common factor of v and 39? 39 Let m be (0 + -33)/(-15 + (-792)/(-55)). Suppose 3*p - 22 = -7. What is the highest common divisor of m and p? 5 Let n be (6 + -7)*(-5 + 0). Let o be (-4224)/(-198) - (2 + (-2)/3). Calculate the greatest common divisor of o and n. 5 Let n = -165 + 216. What is the greatest common divisor of 153 and n? 51 Let i be (-1911)/52*8/(-3). Let a = i + -42. Let y be 581/a - 3/8. What is the greatest common factor of 5 and y? 5 Let k = 8 - 5. Suppose 2*y + 5*w - 22 = 0, -3*y + 88 - 17 = -2*w. Calculate the highest common factor of y and k. 3 Suppose -476 = 8*g - 10*g + 4*v, 4*g = -5*v + 926. What is the greatest common divisor of 312 and g? 78 Let x = -14 - -222. Let f = -91 + x. Let l = f + -37. What is the highest common factor of l and 16? 16 Suppose -1496 = -15*p - 2*p. What is the highest common factor of 33 and p? 11 Suppose -2*r - 5*q = -34, r + q - 16 + 2 = 0. Let i be 168*((-15)/(-6) + -2). Calculate the highest common divisor of i and r. 12 Let s be -1*(1 - 0)*6. Let d be ((-11)/(-2))/(s/(-12)). Suppose -q + 2*q = d. What is the greatest common factor of q and 44? 11 Suppose -4*i - 5*j = -1922 - 1765, -3*j + 4599 = 5*i. What is the greatest common factor of 54 and i? 54 Let l(g) = -32*g - 280. Let k be l(-9). What is the greatest common divisor of 720 and k? 8 Suppose 0 = 3*f + 2*f - 20. Suppose -4 = -2*g - f*d, 3*g - 20 = 2*d + 18. Suppose 3*p = 2*p + g. Calculate the greatest common factor of 2 and p. 2 Let v be (2/(-17) - 10868/2992)*-20. Calculate the greatest common divisor of v and 60. 15 Let t = 10 - 5. Let d be 4/(-18) + (-9380)/(-90) + -3 - 6. Calculate the highest common divisor of t and d. 5 Let w be (-3)/(4 - (3 + 2)). Suppose w*y - 133 = 182. Suppose -d + 17 + 18 = 0. Calculate the greatest common factor of y and d. 35 Let m = -16 + 9. Let b = -14 + m. Let s = b + 29. Calculate the greatest common divisor of s and 72. 8 Suppose 212 = -9*f - 337. Let a = -30 - f. Calculate the highest common factor of 341 and a. 31 Let t = 278 - 254. What is the highest common factor of 18 and t? 6 Let p = 50 - 76. Let b = 34 + p. What is the greatest common divisor of 32 and b? 8 Let m(a) = a**3 - a**2 + a + 20. Let c be m(0). Let i be (6*(-5)/3)/((-2)/3). Calculate the highest common divisor of c and i. 5 Let t = 29 - 20. Suppose 0 = 2*j + 27 + 17. Let d be j/(-99) + 691/t. What is the highest common divisor of 11 and d? 11 Let w(i) = -2*i**3 + 19*i**2 + 14*i - 26. Let j be w(10). Calculate the highest common fa
{ "pile_set_name": "DM Mathematics" }
/8. Let w = r + 13. Calculate the remainder when z(2) is divided by w. 1 Let o = -28 - -47. What is the remainder when 56 is divided by o? 18 Let j = -39 + 70. What is the remainder when 121 is divided by j? 28 Suppose 0*a = -5*a + 20, 0 = -4*l + 4*a + 16. Calculate the remainder when 21 is divided by l. 5 Let o be ((-10)/(-4))/((-16)/(-32)). Let b = o - -1. Calculate the remainder when 22 is divided by b. 4 Let l(t) = t**2 - 8*t + 4. Let b be 4/(-10) + (-57)/(-5). Suppose 3*o - b = -q + 11, -2*q + 3*o = -53. Calculate the remainder when q is divided by l(9). 12 Let c(k) = 0 - 6 - 17*k + 8. What is the remainder when c(-1) is divided by 10? 9 Suppose 0*u - s = -4*u + 98, 4*s = -u + 33. Calculate the remainder when 72 is divided by u. 22 Let g(b) = -b**2 - 5*b - 2. Let i be g(-4). Suppose -i*j - j = -201. Calculate the remainder when j is divided by 23. 21 Let h(q) = -q**3 - 10*q**2 - 8*q + 8. What is the remainder when h(-10) is divided by 45? 43 Let s(b) = b + 49. Calculate the remainder when s(9) is divided by 15. 13 Let t(h) = -h**3 + 16*h**2 + 17*h - 12. Let r be t(17). Let j = -4 - r. Calculate the remainder when 23 is divided by j. 7 Suppose a - 13 = 6. Suppose 51 + 241 = 5*u - 4*g, 2*g - 50 = -u. What is the remainder when u is divided by a? 18 Let m be 36/(-10)*(-475)/38. Suppose 0 = 5*w + 4*i - 58, -2*w - i - m = -5*w. What is the remainder when 26 is divided by w? 12 Suppose 2*m = 16 + 52. Let i = 69 + -9. Suppose i = 8*f - 3*f. What is the remainder when m is divided by f? 10 Suppose 3*l - 4*t - 118 + 40 = 0, -5*l + 122 = -4*t. Calculate the remainder when l is divided by 12. 10 Let l(d) = d**2 - d + 25. Calculate the remainder when 73 is divided by l(0). 23 Suppose 0 = -5*i + a + 111 + 88, i + 4*a - 44 = 0. Calculate the remainder when i is divided by 7. 5 Let u = -47 - -86. Suppose 0 = -6*m + 3*m + 42. Calculate the remainder when u is divided by m. 11 Suppose -3*g - g = -20. Suppose 2*x - 3 = 23. What is the remainder when x is divided by g? 3 Let b = 127 + -190. Let i = b - -115. What is the remainder when i is divided by 14? 10 What is the remainder when 7 - -81 - (2 + 0) is divided by 11? 9 Let t(j) = j**2 - 3*j - 2. Let w be t(4). Suppose w*c + 3*d + 2 = 42, 3*d = 4*c - 62. Calculate the remainder when 33 is divided by c. 16 Suppose -6*p + 106 = -86. Calculate the remainder when 93 is divided by p. 29 Let b(n) = 66*n**2. Let d = 11 + -10. Calculate the remainder when b(d) is divided by 23. 20 Let k(p) = 60*p - 2. Calculate the remainder when k(3) is divided by 15. 13 Let z be (-1 - -1)*3/6. Let k = z - 0. Suppose k = 5*h - 12 + 2. What is the remainder when 4 is divided by h? 0 Let y = 23 - 16. What is the remainder when 25 is divided by y? 4 Suppose 8*g - 156 = 164. Calculate the remainder when g is divided by 11. 7 Let w = -3 + 2. Let r(x) = x**2 + 7*x + 9. What is the remainder when (4 - -2) + 2 + w is divided by r(-6)? 1 Let v(l) = 14*l + 3. Calculate the remainder when 64 is divided by v(1). 13 Suppose -2*t - t - 2*h = 2, 2*t - 3*h - 3 = 0. Suppose q = 4*m - 11, -2*m - 3*q + 1 - 6 = t. What is the remainder when 9 + 1*(-12)/3 is divided by m? 1 Let m(f) = 9*f**3 + f**2 + f - 1. Let b be m(1). What is the remainder when b*15/(-12)*-4 is divided by 13? 11 Suppose 3*k = k. Suppose k = y - 6*y + 30. Suppose 0 = -2*v - y + 34. Calculate the remainder when 27 is divided by v. 13 Let x(k) = -k**3 + 6*k**2 - 3*k - 5. What is the remainder when x(4) is divided by 8? 7 Let r(y) = 16*y**3 + y**2 - y. Suppose 0 + 9 = 3*x. Suppose 80 = 2*v - 4*z, 0 = 3*v - 8*z + x*z - 123. What is the remainder when v is divided by r(1)? 14 Let u(l) = 51*l**2 - 2*l + 2. Calculate the remainder when u(2) is divided by 34. 32 Suppose 3*c + 66 = 5*c + 3*n, -2*c + 5*n + 50 = 0. Calculate the remainder when 55 is divided by c. 25 Let i = -4 - -8. Let k = -9 + 5. Let l = 10 + k. Calculate the remainder when l is divided by i. 2 Let y = 71 + -25. Calculate the remainder when 227 is divided by y. 43 Let d be (-102)/(-5) + (-4)/10. Let u(w) = w**2 + 10*w - 6. Let y be u(-11). Suppose y = -n + d. What is the remainder when 28 is divided by n? 13 Let f(h) = h**2 - h + 4. Let o be f(4). Suppose 2*v + 2 = o. What is the remainder when 12 is divided by v? 5 Suppose 3*i + 5 = 4*i. Let u = i + 6. Calculate the remainder when 43 is divided by u. 10 What is the remainder when 13 is divided by (-6 - 0 - -5)/((-2)/4)? 1 Calculate the remainder when (-181)/(4/(-2) + 1) is divided by 46. 43 Let j = 22 + -16. Calculate the remainder when 16 is divided by j. 4 Let n(p) = -p**3 + 10*p**2 + 3. Let r be n(10). Suppose -k + 3*c - c = -64, r*c + 195 = 3*k. What is the remainder when k is divided by 17? 15 Suppose -6*p + 2*p = -84. Let j(s) = 2*s - 15. Let k be j(10). Calculate the remainder when p is divided by 10/k - (0 + -4). 3 Let v(i) = i**3 + 2*i + 15. Let x(p) = 2*p + 1. Let j be x(-2). What is the remainder when ((-172)/(-6))/((-2)/j) is divided by v(0)? 13 Suppose 0 = m - 2*m + 10. Let k = m + -3. Let o = 46 + k. What is the remainder when o is divided by 18? 17 Let i(l) = 72*l + 4. Calculate the remainder when i(2) is divided by 38. 34 Suppose z + 50 = -5*v, -25 = -z + 6*z. Let p(t) = -t**3 - 3*t**2 - 14. Calculate the remainder when p(-5) is divided by 1 + (4*v)/(-2). 17 Let b = 63 + 19. Calculate the remainder when b is divided by 17. 14 Suppose -4*k = -k + 4*t - 4, 2*k - 6 = -t. Suppose 5*w + 4*h - 31 = -0*h, -8 = k*w - 5*h. Suppose 4*n = -0*n + 20. What is the remainder when n is divided by w? 2 Let z = -4 + 38. What is the remainder when z is divided by 18? 16 Calculate the remainder when 33 is divided by 132/8 - (-1)/2. 16 Let m(s) = -3*s + 3. Let o be m(-5). Suppose o = 4*z - 114. Suppose 3*l + 0*l = z. What is the remainder when 21 is divided by l? 10 Let j = -21 + 34. Calculate the remainder when ((-2)/14)/1 + (-1040)/(-28) is divided by j. 11 Suppose -10 = x - 3*x, -l = x - 5. Suppose l = -n + 4*n. Suppose 2*p = -n*p + 90. What is the remainder when p is divided by 23? 22 Let t(x) = 3*x - 6. Let y(q) = 2*q**2 + 4*q + 1. Let s(p) = -p**2 + 8*p - 3. Let n be s(8). What is the remainder when t(6) is divided by y(n)? 5 Let w(k) = -k - 12. Let l be w(-14). Let d(s) = 19*s - 1. What is the remainder when d(l) is divided by 19? 18 Calculate the remainder when (32/(-20))/(0 - (-4)/(-10)) is divided by 3. 1 Suppose 3*c + 2*f - 22 - 14 = 0, -30 = -3*c - 4*f. Let d(n) = -19*n. Let g be d(-3). Let u = g + -17. Calculate the remainder when u is divided by c. 12 Let y(t) = -2*t + 2. Let h be (-9)/(-6)*(2 - 0). Suppose -h*v = -4*v + 37. What is the remainder when v is divided by y(-4)? 7 Let d(g) = -3*g - 3. Let y be d(-6). Let b = 59 + -38. Suppose 2*h - 46 = -3*a - b, -a - 4*h = -y. What is the remainder when a is divided by 4? 3 Let c(g) = -4*g - 6. Let d(z) = -9*z**2 + 1. Let n be d(-1). What is the remainder when c(n) is divided by 9? 8 Let t(r) = -r**3 - 3*r**2 - 4*r + 5. Let j(f) = f**2 + f + 1. Let h(q) = -4*j(q) + t(q). What is the remainder when 38 is divided by h(-6)? 12 Suppose -5*b = -z - 312, -3*z + 324 = -b + 6*b. What is the remainder when b is divided by 13? 11 Let w(g) = -g**3 + 3*g**2 + 5*g. Let o(f) = -f**3 + 12*f**2 + 2*f - 22. Calculate the remainder when w(4) is divided by o(12). 0 Let i be (-70)/15*(-6)/4. Suppose j + i = 27. Calculate the remainder when 57 is divided by j. 17 Suppose 2*w + 6 = -2*y - 6, w - 4*y + 6 = 0. Let o be (-45)/(-12)*(w - -2). Let c = -11 - o. What is the remainder when 10 is divided by c? 2 Let z be 26 + 1 + (1 - 3). Let i = -16 + z. Calculate the remainder when 1/(-1)*-16 - 1 is divided by i. 6 Let v(y) = y**3 - y**2 - 2*y - 3. Let r(u) = -u**2 - 7*u - 1. Let h be r(-6). Suppose -2*f + 29 = -h. Calculate the remainder when f is divided by v(3). 8 Let u = -1 - -1. Suppose -5*n + d + 81 = 16, u = 3*n - 5*d - 39. What is the remainder when n is divided by 5? 3 Let p(q) = q**2 - 7*q + 5. Let n be p(7). Suppose m = 3*i - 1, -n = -5*i + 3*m - 2*m. What is the remainder when 3 is divided by i? 1 Suppose 6 = 4*q - 3*q. What is the remainder when 26 is divided by q? 2 Let h be 0 - (3 - 6)/3. What is the remainder when 28 is divided by 4 - -3 - -3*h? 8 Suppose 4*r - 26 = 2*q, -4*r - 5*q + q = 4. Suppose 3*j - r*a - 28 = -7, 0 = 5
{ "pile_set_name": "DM Mathematics" }
on multiple of o and 7? 56 Let c = 887 + 3961. Calculate the least common multiple of c and 16. 4848 Let x = 2123/40 - 523/8. Calculate the common denominator of x and -71/10. 10 Suppose -5*m + 21 + 14 = 0. Let i be m/2 + 18/36. Suppose -i*n - 2*r + 63 + 45 = 0, -n = -3*r - 34. What is the least common multiple of n and 6? 84 Let f = 6255 - 450365/72. Let y = -3307/4 + 847. Calculate the common denominator of y and f. 72 Find the common denominator of -87/28 and 3433/(-4560) - -2 - 136/102. 10640 Let w = -76301/15 + 5087. Calculate the common denominator of 101/1554 and w. 7770 Suppose -9*b + 5*b + 2260 = 2*m, 0 = -3*b - 15. Suppose -z - 4*z = -m. Calculate the lowest common multiple of 33 and z. 2508 What is the common denominator of (-17 - 4347/(-147))/((-60)/(-14)) and ((-1)/(-12))/(1/(-166))? 30 Suppose 112*n - 108*n + 2*h - 1270 = 0, 0 = -4*n - 3*h + 1265. Calculate the lowest common multiple of n and 200. 1600 Let u = 46 + -65. Let f = -25 - u. Let p(o) = -7*o - 38. What is the least common multiple of p(f) and 32? 32 Suppose 0 = -2*q + 42*q - 9280. What is the lowest common multiple of 8 and q? 232 Let q = 15690/11 + -1422. Suppose 10 = 3*m + 2*g, -3*m + 2 = -2*g - 0. Find the common denominator of (-1)/(3/m) + (-75)/10 and q. 66 Suppose -5*b = -4*o - 96, -6*o + 24 = 2*b - 10*o. Calculate the lowest common multiple of 36 and b. 72 Suppose 21*s = 20*s - 48. Let g = s - -59. Suppose -35 = -6*v - g. Calculate the smallest common multiple of v and 16. 16 Let n = -36952 - -2327938/63. Find the common denominator of -81/8855 and n. 79695 Let k = -23/132 + 1/11. Let w = -296975/12 - -24760. Calculate the common denominator of k and w. 12 Let b(t) = t**3 - 16*t**2 + 14*t - 3. Let r be b(15). What is the common denominator of (-1 - -9)/4 + (-153)/150 and 4/r - (-2706)/108? 150 Suppose 165*z = 167*z - 3*c - 4, -4*c + 16 = 0. What is the lowest common multiple of 288 and z? 288 What is the common denominator of 55/6 and (730/230972)/(1*5)? 4746 Let a = -2129/12 - -176. Find the common denominator of a and (-43)/4 + 7/(-42). 12 Suppose -2*y + f - 29 = -6*y, -5*f = -25. What is the smallest common multiple of 108 and y? 108 Suppose -2*y = 3*r - 332, 4*r + 4*y - 76 = 372. What is the least common multiple of r and 900? 2700 Let x be 2/(-20) - 74472/80. Let g = 92171/99 + x. Calculate the common denominator of -43/55 and g. 495 Let p = 3287/747 + -24/83. Find the common denominator of ((-2054)/234)/((-5)/(-45)*(-294)/14) and p. 63 Suppose 256 - 216 = 2*g. What is the common denominator of 49/11 and (g/(-66))/(((-1518)/9)/23)? 121 Let d be 2/(-1)*2 - (32 - 1042). Let m = d - 73437/73. What is the common denominator of m and -12/11? 803 Let f = 426 - 435. Let z(u) = u**2 - 3*u - 75. Calculate the least common multiple of z(f) and 27. 297 Let u be 36 - (4 + -13 + 7). Suppose 322*v - 321*v - u = 0. What is the lowest common multiple of 4 and v? 76 Let i be 22 - -1*(-20)/5. Let o = 0 + i. Suppose -b = -2*m + 22 + o, 88 = 4*m - 4*b. What is the least common multiple of m and 9? 18 Let a(d) be the second derivative of 6*d**3 + 15*d**2 + 16*d. Let l be a(10). Find the common denominator of 55/34 and -1 + 1 + l/84. 238 Let z = 279 - 174. Find the common denominator of (z/(-450))/(2/6) and -109/6. 30 Let d be 5/30*6 - -2528. Let n = 58142/23 - d. Calculate the common denominator of n and 49/11. 253 Suppose 160*o - 229 = 155*o + 3*c, -4*o = -2*c - 182. Calculate the lowest common multiple of 284 and o. 3124 Suppose 3*c + 4*q + 46 = 158, 0 = -5*c + 3*q + 206. Calculate the lowest common multiple of 96 and c. 480 Let g be (-2)/9 + (-31484)/(-9). Let c = 2311 - g. Let v = c + 2309/2. What is the common denominator of v and 41/22? 22 Suppose -3*n = -3*k + k + 1507, -4*k - 4*n = -2984. What is the common denominator of (k/28)/((-5)/(-2)) and 442/260 - (-5 - 1)? 10 Suppose -74*x + 34044 = 5036. What is the least common multiple of x and 80? 3920 Suppose -2*y + 7*n + 236 = 11*n, -4*n + 566 = 5*y. Suppose -2*a + 146 = -5*g, 2*a - g - 28 - y = 0. Calculate the smallest common multiple of 64 and a. 1088 Let u = -642100/3627813 + 380/2553. Calculate the common denominator of -31/1827 and u. 12789 Let d = 79143/21905 + 4/1685. Suppose -48 = 938*i - 932*i. What is the common denominator of d and ((-154)/5*(-70)/(-28))/i? 104 What is the least common multiple of 1358 and ((-1)/6*-9)/((-18)/(-8148))? 1358 Calculate the common denominator of (-380)/48 + 3 + (3 - 6) and (-40)/(-48)*1*(-102)/(-28). 84 Let p be (-3 - 4/(-1))/((-3)/(-12)). Suppose -p*d = 2*i - 554, 4*i = -4*d + 204 + 356. Calculate the smallest common multiple of 2 and d. 274 Let h be 330/24*(-112)/(-18). Let z = -13239/19 - -269557/342. Let f = z - h. What is the common denominator of 99/8 and f? 24 Let t(l) = l**3 - 20*l**2 + 38*l + 19. Suppose 33 = -2*y + 69. Calculate the lowest common multiple of t(y) and 25. 275 Suppose 13*t + 47 = 73. What is the common denominator of 103/536 and (213/(-18))/(t - (-6 - -6))? 1608 Let j(p) = -p**3 - 9*p**2 + 34*p + 336. What is the least common multiple of 36 and j(-10)? 288 Suppose -135009 = -100*v + 79*v. Calculate the smallest common multiple of 21 and v. 45003 Suppose -3*s = 4*z + s, 4*z = -s + 9. Calculate the common denominator of (-22)/(-143)*32/(-3 - -1) and -3 + z/(-24)*142. 52 Suppose w - 547 = -4*w + h, h = -2. Suppose 44*d - 120*d = -228. Suppose d*q = -5*o - 4 + w, o - 5*q = -7. Calculate the smallest common multiple of 4 and o. 36 Calculate the common denominator of -6 - ((-13515)/4600 + 2/(-23)) and 71/10. 40 Find the common denominator of 86/375 and (-2*(-9)/(-150))/(168/4305). 3000 Let v = 6 - 0. Let l(n) = -n**3 + 7*n**2 - 4*n - 4. Suppose t = k - 7, -4*k - 4*t + 118 = 122. What is the smallest common multiple of l(v) and k? 24 Suppose -w + 5*k - 28 = -2*w, 0 = -w - 4*k + 32. What is the lowest common multiple of 72 and w? 144 Let l = 203830/13 - 459433665/29302. What is the common denominator of 115/14 and l? 2254 Suppose -15 = -3*z, -4*z - 16 - 24 = -4*k. Suppose 3*r - k = 4*r. What is the common denominator of 73/8 and (-3)/(r/(-10)) - (-39)/34? 136 Let i be 3/5*(19 + 5 + -4). Let k be 0 + (-2 + 26)/4. Let l = i + k. Calculate the lowest common multiple of 8 and l. 72 Let d = 16491 + -15161. What is the lowest common multiple of d and 224? 21280 Let b = 12957 - 12807. Calculate the least common multiple of 2400 and b. 2400 Suppose -12*o - 202 = -2722. What is the lowest common multiple of o and 58? 6090 Find the common denominator of ((-6)/(-231))/(42/1281) and 32/203. 2233 Suppose 3*s + 9 = 0, -2*t = 3*t - 3*s - 484. Suppose 25 = 2*v + 5*b, -5*v = -5*b + 2*b - 109. Calculate the least common multiple of t and v. 380 Calculate the common denominator of -71/300 and ((-215984)/21600 + 10)/(2/344). 2700 Suppose 2045 = 105*y + 470. Suppose 0 = -3*o + 4*s - s - 789, 3*s + 807 = -3*o. Calculate the lowest common multiple of y and 4/30 - o/30. 45 Calculate the smallest common multiple of (-51 + 58)/((3/(-63))/(-1)) and 252. 1764 Let l = -591 - -621. Let s = 56 - 50. What is the smallest common multiple of s and l? 30 What is the common denominator of (-2)/(-8)*4173*6/5859 + -1 and 83/4774? 14322 Let k(f) = -11*f**2 + 7*f - 8. Let l be k(5). What is the smallest common multiple of ((-45)/2)/(124/l) and 33? 495 Suppose 5*o + 25 = 5. Let q = 41299/18 - 2293. What is the common denominator of q and o/(-34) + (-1323)/(-170)? 90 Let n be 9560/15*(-3)/(-1). Suppose 0 = 2*w - 5*h + n, -5*h = -4*w - 3801 - 3. Let a = 7655/8 + w. Calculate the common denominator of a and -103/12. 24 Suppose 5*r + p = 4670, -20*p - 925 = -r - 22*p. What is the least common multiple of r and 340? 3740 Suppose 3*o + 16458 - 48027 = 0. Let l = o + -284197/27. What is the common denominator of 85/63 and l? 189 Suppose -17489 = -339*n + 38694 + 49585. Calculate the least common multiple of 312 and n. 312 Suppose 7398 = -9*p - 4437. What is the common denominator of p/(-945) + (12/21)/1 and -125/138? 1242 Suppose 3*z + 12387 = -0*z. Let u = z - -82543/20. Let l = 5923/7 - 850. Find the common denominator of l and u. 140 What is the common denominator of 192/15408*(-9)/6 and -69/4? 428 Let d = -197593805 - -754380719. Let n = 3724904443013/6690 - d. Let u = 24/223 + n. Calculate the common d
{ "pile_set_name": "DM Mathematics" }
ve h(b(u)). -u**4 Let f(x) = -5*x**2. Let c(u) be the first derivative of 2*u**2 - 74. Give c(f(v)). -20*v**2 Let b(i) = -5 - 5 - 312*i + 10. Let k(q) = -2*q**2. Calculate k(b(j)). -194688*j**2 Let l(y) be the third derivative of -16*y**5/15 - y**3/3 + 413*y**2 + 2*y. Let x(u) = -7*u. What is x(l(q))? 448*q**2 + 14 Let a = 8 + -3. Let j = a + -3. Let y(i) = -i + 3*i - 2*i - 4*i**j. Let m(z) = -z**2. Calculate m(y(o)). -16*o**4 Let j(z) = -5*z. Let i(c) = -8*c - 5*c - 8*c + 8*c. What is i(j(m))? 65*m Let d(n) = 6*n**2. Let c(i) = 5*i. Let u(x) = -2*x**3 - x**2 + 2*x - 3. Let f be u(-2). Let b(s) = -6*s - 6*s + s. Let p(w) = f*c(w) + 2*b(w). Give p(d(o)). 18*o**2 Let g(x) = 2*x**2 - 22*x. Let v(z) = 2 - 1249*z - 2 + 1250*z. Let s(a) = -2*g(a) - 44*v(a). Let b(w) = 5*w. Calculate s(b(d)). -100*d**2 Let p(d) = 5*d**2. Let n(u) be the second derivative of 34*u**3/3 - 2*u + 19. Give n(p(q)). 340*q**2 Let m(z) = -130*z**2. Let b(r) = 574*r. Determine m(b(t)). -42831880*t**2 Let r(j) = -j**2. Let l(y) = -3*y**2 + 15*y**2 - y**2 - 6*y**2. Calculate r(l(d)). -25*d**4 Let d(q) = 5*q - 30. Let y(f) = -157*f**2 - 1. Give y(d(i)). -3925*i**2 + 47100*i - 141301 Let r(k) = 28*k + 4. Let g be 0 - (0 + (-4)/(-1)). Let w(a) = 27*a + 3. Let s(u) = g*w(u) + 3*r(u). Let c(t) = t + 4 - 4. What is c(s(z))? -24*z Let i(p) = 4*p**2. Let s(j) be the second derivative of 8*j**3 + j**2/2 - 340*j. Calculate i(s(f)). 9216*f**2 + 384*f + 4 Let n(h) = -4*h**2. Let k(a) = 2*a**2 - 5*a + 5. Let w be ((-6)/(-9) - 0) + (-51)/9. Let d(g) = g**2 - 2*g + 2. Let l(b) = w*d(b) + 2*k(b). Calculate n(l(v)). -4*v**4 Let y(v) = 3*v**2. Let f(s) be the first derivative of -7*s**2/2 + 57. Give y(f(z)). 147*z**2 Let s(v) = 22*v - 2. Let g(x) = -x. Let j(d) = 36*g(d) + 2*s(d). Let o(w) = -2*w. Calculate j(o(p)). -16*p - 4 Let p(w) = -9*w**2 + 2*w. Let m(h) = -49*h + 69. Determine m(p(n)). 441*n**2 - 98*n + 69 Let i(p) be the first derivative of 2*p**3/3 - 12. Suppose 3*z - 3*b = 12, -2*z + 5 = 5*b + 4. Let h(t) = -z - 11*t**2 + 3 + 5*t**2. Determine i(h(j)). 72*j**4 Suppose 10 = 3*u + 2*u. Let l(w) = 2*w + 2*w - u*w. Let a(z) be the first derivative of -3*z**2 - 115. Determine a(l(q)). -12*q Let x(v) = 14*v**2. Let s(m) = 5*m**2 + 2*m + 660. Calculate s(x(r)). 980*r**4 + 28*r**2 + 660 Let f(q) = 947*q. Let v(x) = -109*x**2 + x. Calculate f(v(n)). -103223*n**2 + 947*n Let l(f) = f**2. Suppose 0*g = 2*k + g - 5, -k - g = 0. Let z be (-16)/(-7) + (-6)/21. Let w(a) = -a**2 + k*a**z - 2*a**2. Determine l(w(i)). 4*i**4 Let c(u) = 12*u**2. Let r(z) = -81*z. Let x(g) = -7*g. Let k(i) = 5*r(i) - 54*x(i). Determine c(k(a)). 8748*a**2 Let p(l) = 33*l**2 - 3*l. Let m(a) be the third derivative of a**5/60 + a**2 + 21. Give p(m(v)). 33*v**4 - 3*v**2 Let n(z) be the first derivative of 5*z**3/3 + 48. Let a(i) = 10*i**2 + 5*i**2 - 12*i**2. Calculate n(a(d)). 45*d**4 Let t(g) = -3*g - 8. Let h(z) = 184*z**2. Give t(h(x)). -552*x**2 - 8 Let i(w) be the third derivative of 0 + 0*w + 45*w**2 + 5/24*w**4 + 0*w**3. Let f(k) = -2*k**2. What is i(f(o))? -10*o**2 Let n(r) = 7*r. Let o(z) be the third derivative of 15*z**4/8 - 24*z**2 + 3. Give o(n(q)). 315*q Let b(x) = -2*x - 14. Let k(s) = s**2 + 3*s + 21. Let l(y) = -3*b(y) - 2*k(y). Let p(t) be the first derivative of -3*t**3 + 1. Give p(l(f)). -36*f**4 Let c(h) = 2*h. Let a(g) = g**2 - g + 66. Let t be a(0). Let u(d) = t*d**2 - 124*d**2 + 64*d**2. Give c(u(j)). 12*j**2 Let a(f) = f. Let m(n) = 77171*n**2. Calculate a(m(g)). 77171*g**2 Let u(n) = -4*n + 2. Let p(x) = 8*x + 11. Let l(k) = 3*k + 4. Suppose s - 2 = 2. Let z(b) = s*p(b) - 11*l(b). Determine z(u(d)). 4*d - 2 Let d(v) = 41447*v**2 + 1. Let r(c) = -2*c**2. Calculate d(r(z)). 165788*z**4 + 1 Let h(q) = -2*q**2. Suppose 11*i = 14*i. Let m(w) be the second derivative of -13*w + 1/3*w**3 + i + 0*w**2. Give h(m(g)). -8*g**2 Let l(c) = -3*c. Let j(k) = -44427*k. What is j(l(h))? 133281*h Let k(r) = -430*r - 1. Let a(l) = -3*l**2 - 5*l - 55. Let c(v) = 8*v**2 + 14*v + 154. Let i(w) = -14*a(w) - 5*c(w). Determine k(i(y)). -860*y**2 - 1 Let j(h) = -284*h. Let w(q) = 271*q**2. What is w(j(a))? 21857776*a**2 Let j(m) = 12*m. Let r(y) = -y + 6. Let n be r(2). Suppose -4*i - n = -4*o, -o + 0*o = -4. Let q(g) = 2*g + i*g - 2*g**2 - 5*g. Determine j(q(p)). -24*p**2 Let b(n) = 769*n**2. Let l(x) = -80*x. Give b(l(h)). 4921600*h**2 Let f(j) = 146*j**2 + 7. Let q(u) = 2*u. What is f(q(s))? 584*s**2 + 7 Let s(w) = 3*w**2 - 503*w. Let c(l) = -51*l**2. Determine s(c(z)). 7803*z**4 + 25653*z**2 Let l(w) = 28*w. Let d(k) be the first derivative of 9*k**2/2 - 176. Determine d(l(x)). 252*x Let d(k) be the second derivative of k**3/6 - 8*k + 28. Let i(u) = -u**2 + 3*u**2 + 3*u**2. Determine d(i(v)). 5*v**2 Let l(k) = 1995*k**2. Let d(h) = -594*h**2 + h. Determine d(l(c)). -2364134850*c**4 + 1995*c**2 Let a(g) = -3*g**2. Let n(l) = -2*l. Let c be 1/(-1 - 0)*0. Suppose c = -0*b - b - 4. Let j(s) = -s. Let h(o) = b*j(o) + n(o). Determine h(a(q)). -6*q**2 Let k(f) = -4*f. Let i(u) = -195869*u. Give k(i(n)). 783476*n Let m(t) = -3*t. Let n(b) = -4305*b. Determine m(n(a)). 12915*a Let v(d) = -d**2 + 2*d - 2. Let o(l) = l**2 - 5*l + 5. Let u(c) = 2*o(c) + 5*v(c). Let y(f) = -14*f. Calculate u(y(z)). -588*z**2 Let r(u) = 138*u. Let g(s) = 6*s**2 + 1. Calculate g(r(x)). 114264*x**2 + 1 Let t(x) be the third derivative of -11*x**5/60 + 267*x**2. Let i(r) = 4*r**2. What is i(t(n))? 484*n**4 Let m(i) be the second derivative of -37*i**3/6 + 684*i. Let u(y) = 25*y. Give u(m(q)). -925*q Let n(z) = -25*z - 870. Let q(a) = a**2. Determine n(q(b)). -25*b**2 - 870 Let j(y) = -y**2. Let m(u) = -480*u**2. Let z(q) be the first derivative of -32*q**3/3 + 4. Let k(n) = 6*m(n) - 88*z(n). Calculate k(j(x)). -64*x**4 Let w(g) = 4. Let k(b) = 3 + 1 + 7*b + 1 - 6*b. Let s(c) = 4*k(c) - 5*w(c). Let l(z) = -3*z. Give l(s(u)). -12*u Let f(c) = 7 + 556*c - 7 - 555*c. Let k(v) = -88*v**2. Calculate f(k(n)). -88*n**2 Let y(z) = 10*z + 7*z - 22*z. Let r(x) = -10*x + 5. Let s(q) = 9*q - 4. Let v(k) = 4*r(k) + 5*s(k). Determine v(y(t)). -25*t Let f(q) = -2*q**2. Let c(k) = -31*k + 6. Give c(f(b)). 62*b**2 + 6 Let o(i) = -2293*i. Let z(g) = 3*g**2 + 7*g. Determine z(o(c)). 15773547*c**2 - 16051*c Let x(a) = -2*a + 9. Let q(s) = -21914*s. Calculate q(x(h)). 43828*h - 197226 Let g(m) = 6*m**2. Let s(w) = 39*w + 14. Let b(k) = 26*k + 10. Let y(z) = -7*b(z) + 5*s(z). Calculate y(g(q)). 78*q**2 Let t = 50 + -46. Let w(g) = t*g**2 - 2*g**2 - 3*g**2. Let i(b) = -4*b**2. Determine w(i(d)). -16*d**4 Let o(m) = m. Let j(g) = 169*g**2 - 240*g**2 - 48*g + 51*g**2. Give j(o(n)). -20*n**2 - 48*n Let k(c) = -253*c. Let u(p) be the second derivative of p**3/2 - 4*p + 91. Calculate k(u(x)). -759*x Let k(a) = a**2. Let u(x) be the second derivative of -3*x**4/2 - 85*x. Determine u(k(r)). -18*r**4 Let t(h) = -158*h**2 - 2*h. Let b(v) = -6*v**2 - 72*v + 144. Let n(x) = 2*x - 4. Let s(w) = -b(w) - 36*n(w). Calculate t(s(k)). -5688*k**4 - 12*k**2 Let t(l) = -294*l + 108*l + 179*l. Let y(g) = 20*g - 2. What is t(y(d))? -140*d + 14 Let k(p) = -5*p - 27. Let f(n) = -144*n - 1. What is f(k(u))? 720*u + 3887 Let q(v) be the second derivative of -109*v**4/12 + 409*v. Let a(p) = -p**2. Give q(a(h)). -109*h**4 Let o(s) = 7*s**2 - 3*s + 12. Let u(t) = 7*t**2 - 4*t + 16. Let m(g) = 4*o(g) - 3*u(g). Let r(i) = 36*i - 2. Determine r(m(v)). 252*v**2 - 2 Let c(h) = -216*h**2. Let k(m) be the third derivative of m**4/12 - 4*m**2 + 21. Determine c(k(x)). -864*x**2 Suppose 0 = -n - n + 10. Suppose 0 = n*t - 11 - 4. Let y(m) = 0*m - t*m + 4*m. Let b(j) = j. Give y(b(p)). p Let k(w) = -1043666*w. Let r(n) = 2*n. Determine r(k(j)). -2087332*j Let f(y) = -53*y. Let z(l) = -39392*l**2. Determine z(f(x)). -110652128*x**2 Let p(m) = 2*m**2 + 12*m**2 - m**2. Let f(a) be the third derivative of a**4/24 + 49*a**2. Determine p(f(o)). 13*o**2 Let n(h) = -2*h**2. Suppose -313 = 9*y - 1447. Let w(a) = 2*a**2 + 126*a - y*a. Calculate w(n(p)). 8*p**4 Let a(r) = -23*r + 10. Let m(s) = 18*s - 8. Let n(q) = 4*a(q) + 5*m(q). Let h(j) = -10*j + 1. Determine n(h(i)). 20*i - 2 Let z(y) = -147*y - 3. Let c(i) = -i**2 - 9*i. Calculate z(c(g)). 147*g**2 + 1323*g - 3 Let r(g) = g. Let k(v) = -5*v - 4. Let y(i) = -6*i - 4. Let
{ "pile_set_name": "DM Mathematics" }
derivative of v(y) wrt y? -66*y Let r(u) be the third derivative of u**8/56 - u**5/12 - 5*u**2. Find the third derivative of r(d) wrt d. 360*d**2 Let b(h) = 2*h**2 + 43*h + 88. Let z(f) = f**2 + 22*f + 44. Let p(s) = -3*b(s) + 5*z(s). Differentiate p(u) wrt u. -2*u - 19 Find the second derivative of -10*c**2 - 12*c + c + 6*c + 4*c wrt c. -20 Let d(u) = 2*u**5 - 4*u**3 + 4*u**2 - 11*u + 4. Let v(k) = -k**5 + k**3 - k**2 + k - 1. Let i(r) = d(r) + 4*v(r). Find the second derivative of i(b) wrt b. -40*b**3 Let u(l) be the second derivative of l**10/15120 + l**6/240 - l**4/4 + 2*l. Let k(g) be the third derivative of u(g). Find the second derivative of k(c) wrt c. 40*c**3 Let m(y) = y**2 + 2*y - 5. Let u be m(-4). Find the first derivative of -5 - 4*i**2 + 2 - u*i**2 - 2 wrt i. -14*i Let j(p) = -7*p**4 - 5*p**2 + p. Let w(b) = 1 - 3*b**2 - 4*b**4 - 1 + 0. Let n(i) = -3*j(i) + 5*w(i). What is the second derivative of n(m) wrt m? 12*m**2 Let o(j) = j**3 + j**2 - j - 1. Let y(s) = 9*s**3 + 2*s**2 - 2*s + 10. Let g(i) = 2*o(i) - y(i). What is the first derivative of g(v) wrt v? -21*v**2 Suppose 0*j + 12 = 3*j. What is the first derivative of 2*f**4 - 1 + 2*f**j - f**4 wrt f? 12*f**3 Suppose 0 = -8*y + 3*y + 15. What is the second derivative of 3*m**y - 5*m**2 - 5*m**2 + 10*m**2 - m wrt m? 18*m Let x = 1 + 1. Suppose x*m - 3*m + 3 = 0. What is the first derivative of 1 - 5*h**3 + 2*h**3 + m wrt h? -9*h**2 Suppose 0 = -5*c + 3*c. Let g(x) be the third derivative of -x**2 - 1/20*x**5 + 1/3*x**3 + 0*x + 0*x**4 + c. Find the first derivative of g(t) wrt t. -6*t Let h(k) be the first derivative of -k**7/14 + k**4/4 + 3*k - 3. Let z(q) be the first derivative of h(q). What is the third derivative of z(c) wrt c? -180*c**2 Let h(b) be the first derivative of -4*b**5/5 - 2*b**2 + 7. What is the second derivative of h(f) wrt f? -48*f**2 What is the third derivative of 26*o**3 - 26*o**3 - 2*o**4 + 2*o**2 + o**2 wrt o? -48*o Let z(u) be the third derivative of 0*u + 3*u**2 + 0*u**6 + 1/6*u**4 + 0*u**5 - 1/84*u**8 + 0*u**7 + 0 + 0*u**3. Find the second derivative of z(v) wrt v. -80*v**3 Let q(x) be the third derivative of -x**2 + 0*x**6 + 0*x**5 + 0 + 0*x**4 + 0*x + 1/70*x**7 + 1/2*x**3. What is the derivative of q(i) wrt i? 12*i**3 Let c(d) be the third derivative of -19*d**7/210 + d**4/4 + 4*d**2. Find the second derivative of c(h) wrt h. -228*h**2 Let w(x) be the third derivative of x**7/105 - x**4/4 - 4*x**2. What is the second derivative of w(q) wrt q? 24*q**2 Let o(f) = -19*f**4 + 6*f**2. Let z(v) = 38*v**4 - 12*v**2. Let j(k) = 7*o(k) + 4*z(k). Find the third derivative of j(m) wrt m. 456*m Let f(p) = p**3 - 7*p**2 - p + 9. Let b be f(7). Differentiate -9 + 6 - 7*y**b + 12 with respect to y. -14*y Let u(z) be the third derivative of 0*z**3 + 1/12*z**4 - 1/42*z**8 + 0 + 0*z**7 + 0*z + 5*z**2 + 0*z**6 + 0*z**5. What is the second derivative of u(o) wrt o? -160*o**3 Let p = 0 + 3. Suppose -p*g + 12 = g. Differentiate 1 - 5*v - v**3 + 2*v**g + 5*v wrt v. 3*v**2 Let g(k) be the third derivative of 1/168*k**8 + 0*k**7 + 1/30*k**5 + 0*k**3 + 3*k**2 + 0 + 0*k**6 + 0*k + 0*k**4. Find the third derivative of g(h) wrt h. 120*h**2 Let p(o) be the first derivative of 4*o**4 + 56*o**3/3 - 5. Find the third derivative of p(g) wrt g. 96 Let k(b) be the first derivative of 23*b**5/5 - 2*b**3/3 - 27. Find the third derivative of k(c) wrt c. 552*c Let g = -51 + 55. Let n(r) be the second derivative of 0*r**g + 4*r + 0 + 1/30*r**6 - 2*r**2 + 0*r**5 + 0*r**3. What is the first derivative of n(t) wrt t? 4*t**3 Let o(r) be the second derivative of -2*r**3/3 - r**2/2 + 27*r + 1. Differentiate o(h) with respect to h. -4 Let t = 24 + -45/2. Let h(x) be the second derivative of 0*x**3 + 0 + 2*x - 3/20*x**5 + 0*x**4 + t*x**2. Differentiate h(d) with respect to d. -9*d**2 Let d = 151/390 - -1/78. Let o(b) be the first derivative of d*b**5 - b + 0*b**4 + 1 + 0*b**3 + 0*b**2. What is the first derivative of o(j) wrt j? 8*j**3 Suppose 2*y - h - 10 = 3, -5*y + 38 = 3*h. Suppose 0 = l - y*d + 2*d + 18, 12 = 2*l + 2*d. What is the third derivative of 2 - x**2 + 2*x**3 - l wrt x? 12 What is the first derivative of -38*i + 15*i + 14*i + 3 wrt i? -9 Let c(m) = m**3 + 6*m**2 - 3*m - 9. Let w be c(-6). Suppose -4*l - 25 = -w*l. What is the derivative of l*j**2 - 2*j**2 + 2 - 4*j**2 wrt j? -2*j Let t(i) be the third derivative of -4*i**8/21 - 11*i**4/24 + 2*i**2 - 18. What is the second derivative of t(k) wrt k? -1280*k**3 Let j(h) = h**2 - h - 1. Let o(k) = -k**4 + 5*k**2 - 4*k - 4. Let n = -27 - -39. Let f(a) = n*j(a) - 3*o(a). What is the third derivative of f(u) wrt u? 72*u Let c(t) be the first derivative of -2 + 6*t**3 + 2*t**3 + 3*t + 3*t - 7*t**3. Differentiate c(u) wrt u. 6*u Let v(m) be the first derivative of -m**2/2 + 10*m + 3. Let n be v(8). Find the second derivative of n*d - 3*d**3 + d + d**3 wrt d. -12*d Let d(b) = 6*b**2 + b - 1. Let n be d(1). Suppose -n + 18 = 2*a. What is the second derivative of -h - 2*h + a*h - 2*h**2 wrt h? -4 Suppose 5*a - 11 = -1. What is the third derivative of a*v**6 - 4*v**2 + 2*v**6 + 5*v**2 - 6*v**2 wrt v? 480*v**3 Let a(g) be the third derivative of -13*g**9/504 + g**5/4 - 5*g**2. Find the third derivative of a(b) wrt b. -1560*b**3 Let u(s) = 5*s**3 + 9. Let p(h) = h**2 - 2*h**3 + 4*h**2 - 4 - 5*h**2. Let a(q) = 7*p(q) + 3*u(q). Differentiate a(w) with respect to w. 3*w**2 Let g(u) be the second derivative of -2*u**4/3 + 8*u**3/3 - 17*u. What is the second derivative of g(w) wrt w? -16 Find the second derivative of 0*z**3 + 10*z**3 + 2*z**2 + 28*z**3 + 60*z wrt z. 228*z + 4 Suppose 5*t = -30 + 40. Let j(i) be the first derivative of -i**t + 0*i**4 + 0*i + 1/6*i**6 + 3 + 0*i**3 + 0*i**5. What is the second derivative of j(f) wrt f? 20*f**3 What is the third derivative of -3*o**2 + 2*o**3 - 4*o**2 + 10*o**2 wrt o? 12 Let f(o) = 5 - o**2 + o**3 + 2*o**3 - 6*o**2 + 0*o**3. Let b(t) = 5*t**3 - 11*t**2 + 8. Let k(a) = -5*b(a) + 8*f(a). Find the third derivative of k(u) wrt u. -6 Let q(c) = -9*c**2 + 2. Let m(f) = -f**2 - 1. Let v(z) = 6*m(z) - q(z). Differentiate v(j) wrt j. 6*j Suppose -3*l = -5*l. Let m(k) be the second derivative of 1/4*k**4 + l*k**2 + 0*k**3 + 0 + k + 1/20*k**5. Find the third derivative of m(c) wrt c. 6 Let b(n) be the first derivative of n**7/140 + n**4/24 - 5*n**3/3 - 6. Let c(g) be the third derivative of b(g). Differentiate c(k) with respect to k. 18*k**2 Let n(x) = -x**2 - 27*x - 23. Let g be n(-26). Let p(u) be the first derivative of 0*u**2 + 4*u - 2/3*u**g + 2. Differentiate p(j) with respect to j. -4*j Let w(s) = 4*s**4 - 2*s**2 - 2*s. Let n(x) = -4*x**2 - 9*x**2 - 7*x + 12*x**4 + 7*x**2. Let l(i) = 2*n(i) - 7*w(i). What is the third derivative of l(z) wrt z? -96*z Let i(u) = -u + 4. Let h(r) = r**2 - r. Let a(q) = -h(q) + i(q). What is the first derivative of a(w) wrt w? -2*w Suppose 0 = -o - o + 8. What is the third derivative of -o*z**2 - z**2 - 4*z**3 + 6*z**2 + 3*z**3 wrt z? -6 Let a(k) be the third derivative of 1/60*k**6 + 0 + 0*k**5 - 1/6*k**3 + 0*k + 0*k**4 - k**2. Differentiate a(o) wrt o. 6*o**2 Let t = 4 - 2. Differentiate 1 - 1 - 4*y**t + 2 wrt y. -8*y Let v(f) be the first derivative of 3*f**5/5 - 8*f - 8. Find the first derivative of v(u) wrt u. 12*u**3 Suppose -31 = -2*n - 1. Find the second derivative of -4*v - v**2 + n - 15 wrt v. -2 Let y = 15 + -11. Find the third derivative of -2*s**4 + 5*s**2 - y*s**2 - 3*s**2 wrt s. -48*s Let b = 15 + -13. Find the second derivative of 7*w - 8*w**b - 2*w + 4*w - w wrt w. -16 Let l(w) = -3*w - 1. Let x(n) = n**4 - 7*n - 1. Let c(p) = 7*l(p) - 3*x(p). Differentiate c(f) wrt f. -12*f**3 What is the third derivative of 4*d**2 + 62 - 62 + 2*d**2 + 7*d**3 wrt d? 42 Let r(v) be the first derivative of v**10/5040 - v**6/180 - 4*v**3/3 - 2. Let h(t) be the third derivative of r(t). What is the third derivative of h(c) wrt c? 120*c**3 Let a(j) be the first derivative of 5*j**4/2 - 11*j + 10. What is the first derivative of a(f) wrt f? 30*f**2 Let n(l) = 2*l - 7. Let w be n(6). Suppose 3*v = 3*k + 18, 0*v + w*v = -5*k. What is the derivative of 6*p**3 - 2*p**3 + 1 - p**v wrt p? 9*p**2 Suppose 0*g - 3*g = -18. Let a = -4 + g. What is the third derivative of -2*q**3 + 2*q**a +
{ "pile_set_name": "DM Mathematics" }
) = -4*k**2 - 2*k - 2*k + 4*k. Let s(c) be the second derivative of -1/12*c**4 + 0 + 0*c**3 - 17*c + 0*c**2. Give s(p(x)). -16*x**4 Let c(q) = -1375*q - 34*q - 78*q. Let l(u) = 2*u. Calculate c(l(v)). -2974*v Let l(u) = u**2 + u + 1. Let n(w) = 5*w + 0*w - 6 + 3*w - 14*w. Let q(g) = -6*l(g) - n(g). Let i(c) = c**2. Calculate q(i(m)). -6*m**4 Let c(w) = 8*w. Let o(m) = -63*m + 4. Let f(l) = -2002*l + 130. Let b(n) = -4*f(n) + 130*o(n). What is c(b(i))? -1456*i Let c(d) = d**2. Let m(a) = -16567347*a**2. Calculate m(c(j)). -16567347*j**4 Let g(y) be the first derivative of -5*y**2/2 + 826. Let f(l) = 441*l. Give f(g(u)). -2205*u Suppose 17*x - 56 = -22. Let a(b) = 4*b + 46*b**x - 12*b + 3*b + 6*b + 2*b**2. Let h(l) = 2*l**2. What is a(h(r))? 192*r**4 + 2*r**2 Let h(y) = -45*y - 29*y + 167*y + 4 - 40*y - 45*y + 0. Let f(m) = 1. Let k(b) = b + 1. Let z(s) = f(s) - k(s). Give h(z(j)). -8*j + 4 Let c(s) = -49*s**3 + 10*s + 11. Let y be c(-3). Let w(b) = 658*b - y*b + 650*b. Let r(z) = -3*z + 2*z - 3*z. Give r(w(m)). -16*m Let d(r) = 10*r - 5003. Let y(f) = -35*f**2 + f. Determine d(y(b)). -350*b**2 + 10*b - 5003 Let p(j) be the second derivative of j**7/70 - 13*j**4/4 - 6*j. Let s(d) be the third derivative of p(d). Let x(h) = -2*h**2. Determine x(s(l)). -2592*l**4 Let z(q) = -14*q**2 - 59. Let b(j) = 17*j - 124. Let w(k) = -19*k + 155. Let u(m) = -5*b(m) - 4*w(m). Calculate u(z(l)). 126*l**2 + 531 Let j(f) = -1219935*f**2. Let c(q) = -3*q. Determine c(j(r)). 3659805*r**2 Let t(o) = -28*o. Let w(f) = -41*f + 15. Let s(j) = 539*j - 198. Let n(v) = -5*s(v) - 66*w(v). What is n(t(l))? -308*l Let h(q) be the third derivative of 7*q**2 + 0 + 0*q**4 + 0*q**3 + 0*q - 1/12*q**5. Let p(g) = 54*g + 57*g - 114*g. Give h(p(m)). -45*m**2 Let u(m) = -5301*m**2 + m. Let f(k) = 1157*k. What is f(u(w))? -6133257*w**2 + 1157*w Let h(t) = -5*t. Let w(q) = q**2 - 8*q + 9. Let s be w(7). Let a(j) = -s*j + 3990 - 3990. What is h(a(d))? 10*d Let o(t) = -9*t. Let f(n) be the first derivative of n**2 + 40*n - 478. Calculate f(o(j)). -18*j + 40 Let h(u) = 11*u - 166. Let o be h(16). Let m(j) = -o*j**2 + 0 + 8*j**2 - 2 + 2. Let b(l) = l + 1. Let t(q) = 10. Let s(n) = -10*b(n) + t(n). Calculate m(s(a)). -200*a**2 Let l(b) = -2590*b**2 + 857*b. Let m(y) = 18*y**2. What is l(m(p))? -839160*p**4 + 15426*p**2 Let g(h) be the third derivative of -51*h**4/4 - h**3/6 - 17964*h**2 - 2*h + 5. Let w(t) = 3*t + 2*t - 3*t. Determine g(w(u)). -612*u - 1 Let g(b) be the second derivative of b**4/2 + b. Suppose -3*t = -2*l + 42 - 260, 12 = -3*l. Let u(c) = -73*c**2 + 136*c**2 - t*c**2. Determine g(u(w)). 294*w**4 Let f(k) = 3660420*k**2 - k. Let i(r) = 28*r**2. Calculate f(i(p)). 2869769280*p**4 - 28*p**2 Let r(d) = -342*d**2. Let j(z) be the first derivative of 0*z - 111 + 1/2*z**2. What is j(r(f))? -342*f**2 Let r(k) = -194*k. Let w(c) = 1038330*c. Calculate w(r(u)). -201436020*u Let r(t) = t. Let u(w) be the second derivative of -459*w**4/4 + 3*w + 1209. What is r(u(f))? -1377*f**2 Let y(l) = 2*l**2. Let k(q) = -1222*q**2 + 61814*q - 61814*q. What is y(k(v))? 2986568*v**4 Let y(m) = -2962*m**3 - 24*m - 49. Let c be y(-2). Let v(l) = c - 23695 - l. Let h(d) = 51*d. Calculate v(h(o)). -51*o Let u(o) = -1256507*o**2. Let m(k) = -72*k**2. Determine m(u(t)). -113674308555528*t**4 Let s(r) = 8*r. Let g(k) be the first derivative of 13*k**5/60 + 11*k**2/2 - 3*k + 48. Let b(w) be the second derivative of g(w). Calculate s(b(m)). 104*m**2 Let l(o) = -o. Suppose -675 = 7*w - 2334. Let z(y) = -474 + w - 10*y - 10*y**2 + 237. Give l(z(b)). 10*b**2 + 10*b Let s(c) = -1167*c**2. Let t(q) = 74499*q**2. Give s(t(b)). -6476967868167*b**4 Let k(c) = -1 - 373*c + 1100*c - 363*c + 1 - 361*c. Let u(s) be the second derivative of -91*s**4/12 - 2*s. Determine u(k(d)). -819*d**2 Let n(s) = -59 + 26*s + 0*s + 59. Let k(d) = -d**2 - 14*d - 30. Let m be k(-11). Let a(y) = -3*y + 2*y - m*y + 2*y. Calculate a(n(g)). -52*g Let a(p) = 661*p - 327*p - 335*p. Let v(j) = -1639*j**2. Calculate a(v(h)). 1639*h**2 Suppose -8 = -12*j + 16. Let c(p) = -19*p**2 + 44*p**2 - 27*p**j. Let t(x) = 177*x. Give c(t(a)). -62658*a**2 Let h(v) = 2*v. Let x(c) = -83447217*c + 3. What is x(h(l))? -166894434*l + 3 Let v(b) = 2*b. Let w(o) = 21*o**2 + 2*o - 33. Let f(l) = -16*l**2 - l + 24. Let d(x) = 11*f(x) + 8*w(x). Calculate d(v(u)). -32*u**2 + 10*u Let f(y) = -4*y. Let n(r) = 2016*r**2 - 160. Let g(u) = -38*u**2 + 3. Let v = 499 + -496. Let z(b) = v*n(b) + 160*g(b). What is z(f(t))? -512*t**2 Let w(j) = -j. Let g(s) = -10*s**2 + 22*s - 1636. Let o(r) = 54*r**2 - 121*r + 8181. Let n(t) = 11*g(t) + 2*o(t). Determine w(n(h)). 2*h**2 + 1634 Let s(f) = 22 - 22 + f**2 - 3*f**2. Let y(p) be the first derivative of p**3/3 + 4*p - 1. Calculate s(y(r)). -2*r**4 - 16*r**2 - 32 Let s(b) = -94819442*b**2. Let w(v) = -6*v. What is s(w(u))? -3413499912*u**2 Let m(d) = 24*d**2 - 3*d. Let q(t) = 201413*t. Determine m(q(p)). 973612717656*p**2 - 604239*p Let i(f) be the first derivative of -f**2 - 2811. Let g(l) = -2*l - 931. What is g(i(w))? 4*w - 931 Let z = 131 + -127. Let h(d) = 102*d - 21. Let j(v) = 20*v - 4. Let q(s) = z*h(s) - 21*j(s). Let x(k) = -20*k**2 - 5*k + 15*k**2 + 5*k. Determine x(q(i)). -720*i**2 Let f(z) = -3*z. Let x(h) = -55*h + 1. Let b(r) = -219*r - 364. Let c(p) = b(p) - 4*x(p). What is c(f(k))? -3*k - 368 Let f(a) be the third derivative of -a**5/60 + 3*a**4/2 - 36*a**2. Let t(u) be the first derivative of -u**2/2 - 69. Give t(f(l)). l**2 - 36*l Let h(y) = 50*y**2 - 201*y**2 + 50*y**2 + 50*y**2 + 48*y**2. Let p(g) = -381*g + 1. What is p(h(x))? 1143*x**2 + 1 Let v(t) = 711*t. Let q(k) = -436*k**2 - 525. Give q(v(n)). -220407156*n**2 - 525 Let c = -33 + 65. Let l(d) = -28*d + 1 + c*d - 1. Let y(q) = 16*q**2. Let r(o) = -3*o**2. Let x(h) = -24*r(h) - 5*y(h). Calculate x(l(g)). -128*g**2 Let i(c) be the second derivative of c**7/420 - c**4/12 - 2*c + 3. Let g(y) be the third derivative of i(y). Let s(h) = -6*h. Calculate s(g(f)). -36*f**2 Let o(y) = -82*y. Let t(a) = -7*a**2 + 19*a - 42. Let h(i) = -i**2 + 4*i - 7. Let n(r) = 6*h(r) - t(r). What is o(n(c))? -82*c**2 - 410*c Let t(o) = -879*o + 1. Let j(a) = 4*a**2 + 3*a - 15. Let q(y) = -2*y**2 - y + 5. Let s(p) = j(p) + 3*q(p). Calculate s(t(l)). -1545282*l**2 + 3516*l - 2 Let p(z) = -4*z. Let m(c) = -4*c**2 + 9*c - 9. Let f(y) = y**2 - 2*y + 2. Let j(g) = g**2 + 2*g + 10. Let v be j(-4). Let a(x) = v*f(x) + 4*m(x). Give p(a(k)). -8*k**2 Let l(q) = 844*q**2. Let f(x) = 346*x. Calculate f(l(m)). 292024*m**2 Let f(d) = -114629*d**2 + 21. Let c(r) = 3*r. What is c(f(h))? -343887*h**2 + 63 Let p(x) = 473078387*x. Let y(s) = 3*s**2. Determine y(p(b)). 671409480739565307*b**2 Let b(n) = 3*n**2 - 4*n. Let j(s) = 13*s + 23*s - 37*s. What is j(b(x))? -3*x**2 + 4*x Let x(w) = -64*w**2. Let u(y) = -11*y + 21. Let g(q) = 12 - 22*q - 20*q + 36*q. Let b(m) = -7*g(m) + 4*u(m). What is b(x(s))? 128*s**2 Let n(a) = -a**2. Let l(u) = -1518*u - 5. Give l(n(b)). 1518*b**2 - 5 Let x(p) = 8514*p. Let o(i) = 2624*i**2 + 6*i. Calculate x(o(q)). 22340736*q**2 + 51084*q Let s(t) = t - 219129. Let a(n) = 17*n. What is a(s(j))? 17*j - 3725193 Let u(f) be the third derivative of -5*f**4/24 - 2561*f**2 - 3*f. Let o(n) = -646*n. Give u(o(k)). 3230*k Let r(u) = -304*u - 416*u + 1160*u - 174*u. Let n(i) = i**2. Determine r(n(h)). 266*h**2 Let f(s) = -1346*s - 585. Let u(k) = -9*k. Give u(f(c)). 12114*c + 5265 Let m(l) be the second derivative of 0*l**3 - 11/12*l**4 + 0*l**2 + 0 - 90*l. Let c(y) = -y. Give c(m(s)). 11*s**2 Let a(z) be the second derivative of -z**3/2 + 12*z. Let m(v) = -19*v - 63. Let j(u) = -9*u - 28. Let w(f) = 9*j(f) - 4*m(f). What is w(a(h))? 15*h Let g(u) = -u. Let w(n) = -2*n**2 + 15*n + 17. Let v be w(-1). Let b(a) be the second derivative of 0*a**3 + 31*a + 23/12*a**4 + 1/2*a**2 + v. What is g(b(m))? -23*m**2 - 1 Let q(z) = 5049*z + 2. Let t(a) = -314*a - 9. What is q(t(w))? -1585386*w - 45439 Let l(s) = 10*s + 324. Let n(y) = 4*y - 1. Let j(d) = l(d) - 3*n(d). Let w(z) = -z. Calculate w(j(t)). 2*t - 327 Let h(w) be the second derivative of 4*w**3/3 - 68*w - 1. Let y(g) = -9*g**2 + 11*g**2 - 4*g**2. Give h(y(k)). -16*k**2 Let v(x) = 3*x. Let h be (1 - 0)/((-32)/(-64)). Let y(u) = 10803*
{ "pile_set_name": "DM Mathematics" }
8/14)/((-12)/(-42)). Let f be (x - 0 - 1)*-5. Let q(i) = i**2 - 6. Is q(f) a prime number? True Let d(m) = -4*m + 12. Let i be d(8). Let j be (-10564)/i - 2/10. Suppose -j = -4*r - 148. Is r a composite number? True Let f = -4 + 9. Suppose 18 = f*g + 8. Suppose 0 = 3*i + m - 6, m + 3 = g*i + 2*m. Is i a composite number? False Suppose 0 = 3*i - 2*i - 11. Suppose x + i = 35. Suppose 2*t - x = 14. Is t composite? False Let z(u) = 54*u - 1. Let y be z(-5). Let d = -48 - y. Is d a prime number? True Let f be 744/84 - (-1)/7. Is (-12)/8*(-282)/f prime? True Suppose 0 = -0*h + 3*h + 2943. Is h/(-11) - (-6)/(-33) a prime number? True Let p = 410 + -227. Is p prime? False Let z = 5 - 2. Suppose -5*y = z*c - 0*y - 256, 2*c + 3*y = 169. Is c prime? False Let o(d) = 7*d**2 + d. Let p be o(1). Suppose 5*z + g = 16, g + p = -g. Let v(y) = 15*y - 1. Is v(z) a prime number? True Suppose -4*t = 6 - 14. Suppose t*s + 10 = -2*l - 0*l, 4*l = 5*s + 25. Suppose 9 = 2*b + b, l = d + 3*b - 62. Is d prime? True Let g(z) = -2*z**3 + 8*z**2 - 8*z + 35. Is g(-9) prime? True Let k(l) = 5 + 4*l - 25*l - 15*l - 1. Let y be k(-4). Suppose 2*c - y = -2*c. Is c a prime number? True Let t be 8/12 - 4/6. Suppose 0 = -s + 5*r + 21, -5*s + 3*s + 4*r + 24 = t. Is s prime? False Let z(r) = 2*r**2 + 3*r - 6. Let l be z(-7). Suppose -k + 14 + l = 0. Let b = 174 - k. Is b a prime number? True Let b(t) = -81*t + 16. Is b(-7) a composite number? True Let j(r) = r**3 - 9*r**2 - 16*r - 5. Is j(12) a prime number? False Let v = 2 - -7. Suppose -2*r - 3 = -4*x - 1, -3*r = -2*x - v. Suppose -2*u + 64 = x*t - 47, -5*u - 74 = -2*t. Is t prime? True Suppose 2*p - 732 = -2*n + 1110, -p + 2*n + 915 = 0. Is p composite? False Suppose 0 = a - 3*l - 13, -2*a + 5*l = -5*a + 67. Let d be -38*a*(-3)/6. Suppose f + d = 3*u, -3*u - 2*f - f = -345. Is u prime? False Let n(g) = 5*g**2 - 10*g - 19. Let r(p) be the third derivative of -7*p**5/30 + 5*p**4/4 + 28*p**3/3 + 2*p**2. Let s(k) = 17*n(k) + 6*r(k). Is s(-10) composite? False Suppose -3*x - 20 = -x. Let p be (1 - 1 - 20)*x. Let k = -121 + p. Is k a composite number? False Suppose -2*u = -58 - 32. Let n = 70 - u. Is n a composite number? True Suppose 2*a = -2*z - 16, -4*z = -2*z - 5*a + 30. Let b = z + 15. Suppose 0 = -2*w + b*w - 39. Is w composite? False Let i = -26 - -146. Is (2 - (2 + -1)) + i composite? True Let q = -31 + 384. Is q a prime number? True Suppose 0 + 9 = 3*c. Is ((-2)/c)/(4/(-186)) prime? True Suppose -2*h + 877 = -477. Is h a prime number? True Let a = 1392 + -652. Suppose -5*h = 2*t - 303, 10*t - 5*h - a = 5*t. Is t a composite number? False Let o = -27 - -9. Is (-1 + o)/(-1)*1 composite? False Suppose -2095 = -3*v - 94. Is v a composite number? True Let g(v) = -v**3 - 6*v**2 + 6*v. Let r be g(-7). Suppose 4*p = a + r, 2*a - 1 = 4*p - 3. Let h = p + 7. Is h a prime number? False Suppose -4*w = -w - 1749. Is w a composite number? True Let o(c) = -c + 11. Let j be o(8). Let w be 41/j + (-4)/6. Let h = w - -1. Is h a composite number? True Suppose -l + 0*m + 85 = -2*m, 3*l - 5*m - 252 = 0. Is l a prime number? True Let q(x) = -x**3 - 5*x**2 - 2*x - 1. Let i be q(-4). Let t be (-2)/9 - 358/9. Let d = i - t. Is d a composite number? False Suppose 2*g + 16380 = 4*h - 2*g, 4*h - 16368 = g. Is h a prime number? True Suppose i = 31 - 10. Let m = -2 + i. Is m a composite number? False Let z be 28/(-21)*18/(-1). Suppose -34 = -4*p - 2*u, 2 + z = 2*p + 4*u. Is p a prime number? True Let l(i) = -4 - 14*i + 9*i**3 - 5*i**2 - 9*i + 1. Let b(m) = 4*m**3 - 3*m**2 - 11*m - 2. Let x(g) = 7*b(g) - 3*l(g). Is x(8) prime? True Let j(a) = -17*a + 4. Is j(-7) a composite number? True Let l(q) = -4*q**2 - 3*q - q**3 + 0 - 2 - 5. Let i be l(-6). Let d = i - 57. Is d composite? True Let z = -17 + 17. Let y(r) = 33 - r + 4*r - 2*r. Is y(z) prime? False Suppose 6 = g + 2*g. Suppose -g*h = h - 78. Is h composite? True Let h be (2/(-4))/((-1)/(-270)). Is (2 - h/(-3))*-1 prime? True Let p(l) = 5*l**3 - 1. Suppose b = 3*t - 0*b - 6, 3*t + b = 0. Let i be p(t). Suppose -i*f = 3*r - 41, -f + 79 = 5*r + 3*f. Is r composite? False Let g be (2 + -2)/(3 + -4). Suppose 2*l - 134 = -g*l. Is l a prime number? True Suppose u - 609 = -128. Is u a prime number? False Let m = 732 - 425. Suppose -a + m = -0*a. Is a a prime number? True Let g(a) = a**3 + 23*a**2 + 13*a + 34. Is g(-15) composite? True Let n = 10 - -34. Let r = 81 - n. Is r composite? False Let c = 135 - -312. Is c composite? True Suppose 6 = -q - 4*y, 5*y = -2*q + 2*y - 2. Let v(b) = 5*b + 1. Let m be v(q). Is m - (1 + 1 + -1) prime? False Let z be (-48 - -5)*(-4 + 2). Let u = -55 + z. Is u a composite number? False Let z = 258 + 593. Is z a prime number? False Let f = 5 - 1. Is f/(-6)*(-2346)/4 a prime number? False Let r = 8266 - 5369. Is r composite? False Let z = 6338 - -1655. Is z composite? False Is 1425 + (-11)/(33/6) a prime number? True Suppose 2*u + 3*u = 40. Let s = u + -8. Is (-12)/(-6) - (-147 + s) a prime number? True Let r be (-1 - (-5)/(-2))*-40. Suppose r = 2*y - 974. Is y a composite number? False Let o = 8 - 5. Suppose -4*a - 12 = 2*m + m, 0 = o*a. Is 1/(-2) - 86/m prime? False Let p be (-3)/(12/(-8)) - -3. Suppose h + 456 = 4*m - 21, -p*m = -5*h - 600. Is m a composite number? True Let u(b) = -b**2 + 5*b - 3. Let k be u(4). Suppose 2*h + k = 3*h. Is (-3*h)/(2 - 3) composite? False Let r = -76 + 141. Suppose 5*g = 110 + r. Is g composite? True Let g(i) = i**2 - 12*i + 13. Let f be g(11). Suppose -f*w + 227 = 3*p, 2*p - 5*w + 2*w = 160. Is p prime? False Let a(c) = c**3 + 12*c**2 + 12*c + 16. Let t be a(-11). Is 2 + 1*t/1 prime? True Suppose 0 = p + 4*p. Suppose 2*n - 2*z - 2 = p, 7*n - 2*n + 13 = -z. Let v(g) = -8*g**3 - g**2 + 3*g + 1. Is v(n) a prime number? False Suppose -4*w - 5 + 32 = -3*y, -2*y + 2*w = 16. Let b be -22*(6/(-4) + 2). Is b*(0 + (y - -2)) prime? False Let g(f) be the second derivative of f**4/12 + f**3/6 + 17*f**2/2 + 2*f. Let h(s) = -3*s**2 - 3*s - 50. Let y(v) = -11*g(v) - 4*h(v). Is y(0) prime? True Let i(y) = -2*y + 1. Let l be i(-2). Suppose 31 = l*n - 119. Suppose -5*g + 2*g = -n. Is g composite? True Let w(n) = -73*n - 3. Let x(t) = 36*t + 1. Let v(k) = 3*w(k) + 5*x(k). Is v(-5) a prime number? True Suppose 5*w + 4*n - 403 = 0, -3*w + 2*n + 243 = 4*n. Is w composite? False Let a(w) = w**2 - 6*w + 2. Let d be a(4). Is 1225/21 + (-4)/d a prime number? True Let x = 1827 + -940. Is x composite? False Suppose g - 63 - 146 = 0. Is g composite? True Let r be (-7)/((-21)/60) + 2. Let c be 15/(-4) - (-9)/12. Let u = c + r. Is u a prime number? True Let p(m) = -6*m**2 - m - 1. Let r(k) = 12*k**2 + 3*k + 2. Let c(o) = -5*p(o) - 2*r(o). Is c(-6) prime? True Let g = 88 - 51. Is g composite? False Let b = -41 + 60. Let a = -12 + b. Is a prime? True Let i(a) be the first derivative of -a**4/4 + 8*a**3/3 - a**2/2 + 3*a + 2. Is i(6) composite? True Let j be 29/2 + (-1)/2. Let g(n) = n**2 - 2*n + 1. Let i be g(3). Let u = j - i. Is u composite? True Suppose -r = -5*a + 9, -5*r = 2*a - r - 8. Suppose a*y - 13 = 15. Is y a prime number? False Suppose 0 = 3*p - 2*p - 188. Let t(x) = 5*x**2 - 2*x + 1. Let a be t(-2). Let j = p - a. Is j prime? True Suppose -4*n + 3*j + 2963 = 0, -6 = -2*j - 0. Is n prime? True Let l(q) = -58*q - 3. Is l(-2) a prime number? True Suppose 2*l - t = 3697 - 1419, 0 = -2*l - t + 2270. Is l prime? False Let l be (-83)/((-9)/(-5) - 2). Suppose 0*g = -5*g + l. Is g a prime number? True Let x be (-6)/(((-2)/(-106))/1). Is (x/(-8))/(2/8) a composite number? True Let z be -1 + (1241 - 1) - -1. Let m(h) = h**2 + 10*h + 17. Let s be m(-9). Suppose 4*v + 3*j - z = 0, j = 3*j - s. Is v a prime number? True Let m = 409 - -78. Is m a composite number? False Let c(i) = 61*i**2 - 7*i - 13. Is c(-4) composite? False Suppose 3*m = -m. Suppose 5*h - 115 = -m*h. Is h prime? True Let d(f) = f**2 + 9*f + 5. Let t be d(-9). Suppose -3*q - 218 = -4*p, -4*p + 220 = -t*q + q. Is p a prime number? True Suppose 6*b + 4 = 2*b. Let c(m) = -m**2 - 3*m + 3. Let s be c(-4). Is ((-2 - s) + -48)/b a prime number? False Let x(s) = s**3 + 4*s**2 + 2*s - 2. Let g be x(-2). Let j = 10 + -8. Suppose 2*l - 34 = 2*c, -j*l - g*c - 21 = -63. Is l a prime number? True Suppose 5*g = 5*n + 15, 0*g + 3
{ "pile_set_name": "DM Mathematics" }
*p**2 + 3*p + 39. Calculate the remainder when m(c) is divided by 7. 4 Let r(o) = 14*o - 177. Calculate the remainder when r(16) is divided by 12. 11 Calculate the remainder when (6/24)/(1/104) is divided by 21. 5 Suppose 9*v + 10 = 4*v. Let t(n) be the second derivative of n**4/3 - 5*n**3/6 - n**2 + 2*n. What is the remainder when t(v) is divided by 13? 11 Let a(f) = 10 + 9*f - 14*f + 6*f. Suppose 28 = 4*c - 0*c - 5*o, -c - 18 = 5*o. What is the remainder when a(-6) is divided by c? 0 Suppose -4*y + p = 12 - 30, -3*p + 1 = -y. Suppose 147 = -0*j + 7*j. What is the remainder when j is divided by 2/(-1) - (y + -13)? 3 Suppose -2*a = 4*u + 10 - 28, -4*u = 5*a - 21. Let n be a + -1 + -1 - -1. Calculate the remainder when 87 is divided by (1 + n)/(4/88). 21 Suppose -66*o + 56*o = -1290. Calculate the remainder when 500 is divided by o. 113 Suppose -24*n + 780 = 2*n. Let s(l) = l**3 + 3*l**2 - 3*l + 3. What is the remainder when n is divided by s(-3)? 6 Suppose 0 = 4*n + 5*p - 67, -4*n - 29 = 2*p - 111. What is the remainder when 344 is divided by n? 22 Let r(s) = -s**2 - 21*s - 3. Calculate the remainder when 30 is divided by r(-20). 13 Suppose 93*c - 91*c = -36. Let n = c - -83. Calculate the remainder when n is divided by 19. 8 Let g = -15 + -7. Let u = 100 + -61. Let z = g + u. Calculate the remainder when 49 is divided by z. 15 Suppose -5*j = -15, -2*j + 63 + 75 = 3*v. What is the remainder when 300 is divided by v? 36 Calculate the remainder when 173 is divided by (-1*1 + 47)*(58 - 57). 35 What is the remainder when 16 is divided by (-299)/184*(33/(-3) + 3)? 3 Let s(u) be the first derivative of u**4/2 + u**3 - u**2/2 - 7*u + 4. What is the remainder when s(3) is divided by 37? 34 Let o(g) = g**2 + 7*g + 22. What is the remainder when 36 is divided by o(-6)? 4 What is the remainder when 21 is divided by (10 + -3)*(-40)/(-35)? 5 Suppose 3175*l = 3188*l - 143. Let b(w) = 2*w - 3. Calculate the remainder when l is divided by b(3). 2 Let s be (-5)/5 + 1*-16. Let j = 15 + s. Calculate the remainder when 7 is divided by 32/(-20)*5/j. 3 Let h(a) = a**3 - 2*a**2 - 17*a + 21. Suppose -2*l + 54 = y + 3*y, -y + 39 = 2*l. Calculate the remainder when h(6) is divided by l. 12 Let g(a) = a**3 + 6*a**2 - 5*a + 4. Suppose -10*i + 1344 = 5*b - 7*i, 0 = b + 3*i - 276. What is the remainder when b is divided by g(-5)? 51 Let n = 31 - 17. Let u(o) = 5*o**2 + 3. Let k be u(6). Let y = k + -115. Calculate the remainder when y is divided by n. 12 Let t(k) = -25*k**3 - 3 + 4*k - 10*k**2 - 4 + 24*k**3. Let l be t(-11). Let j = -31 + l. What is the remainder when j is divided by 14? 11 Suppose -4*k + 933 = 3*t, -7*t - 3*k = -11*t + 1219. What is the remainder when t is divided by 77? 76 Let o = -18 + 46. What is the remainder when 95 is divided by o? 11 Suppose -5*k - 65 = 3*y + 104, 4*k = 2*y + 76. Let p = 84 + y. Calculate the remainder when (8 - p)/((-2)/4) is divided by 19. 18 Let b(v) = -30*v - 49. Let d(l) = -20*l - 33. Let q(w) = -5*b(w) + 8*d(w). Suppose 3*c + 4*c = -42. Calculate the remainder when q(c) is divided by 11. 8 Let t = 63 - 20. Let q(b) = b**3 + 17*b**2 + 9*b + 12. What is the remainder when q(-16) is divided by t? 38 What is the remainder when 9/(-9 + 9144/1014) is divided by 10? 7 Suppose m - 535 - 99 = 0. Suppose 15*t + 918 = 49*t. Calculate the remainder when m/6 - 3/(-9) is divided by t. 25 Suppose 0 = -4837*b + 4829*b + 208. What is the remainder when 519 is divided by b? 25 Let a be (12/7)/((-4)/(-14)). Suppose 3*t = a*t - 3, 2*p = -4*t + 24. Calculate the remainder when 37 is divided by p. 7 Suppose 2*x + 5 + 3 = 0. Let h = 19 - 2. What is the remainder when h is divided by (-9)/(-1 + 2/x)? 5 Suppose q = -4 + 1. Let c(p) = 3*p**2 + 5*p + 2. Let m(z) = 4*z + 165. What is the remainder when m(-35) is divided by c(q)? 11 Let q be (-30)/25*(-10)/4. What is the remainder when (-18)/(-6 - (-85)/15) is divided by q/(9/42) - 0? 12 Suppose n - 18 = -5*r + 33, 5*r = -2*n + 52. Calculate the remainder when 39 is divided by r. 9 Let w(x) = -3*x - 49. Let q(j) = -7*j - 99. Let a(b) = 2*q(b) - 5*w(b). Let d(u) = 2*u**2 - u - 3. Calculate the remainder when a(12) is divided by d(3). 11 What is the remainder when 302 is divided by (12/10)/((-2)/(-85))? 47 Let t(d) = 5*d**3 - 2*d - 1. Let l be t(-1). Suppose 4*n + 8941 = 8993. Calculate the remainder when (-183)/l - 4/(-16) is divided by n. 7 Suppose -18*z = -730 - 728. Calculate the remainder when 221 is divided by z. 59 Let r = -88 + 128. Suppose o + t - r = 0, -13 = 3*o - t - 129. Let u(z) = z**3 - 7*z**2 + 2*z - 3. What is the remainder when o is divided by u(7)? 6 Let k be (2/4)/((-4)/(-240)). Calculate the remainder when -4 - (-6)/(k/175) is divided by 16. 15 Let v(d) = 2*d + 2. Let t be 140/44 - 4/22. Let n = 61 + -46. What is the remainder when n is divided by v(t)? 7 What is the remainder when 41396/474*18/4 is divided by 57? 51 Let k(f) be the first derivative of 3*f**2/2 + 3*f + 1. Let r = 397 - 392. Calculate the remainder when k(7) is divided by r. 4 Let z(w) = 7*w + 5. Let q(t) = -t - 1. Let v(m) = 4*q(m) + z(m). Suppose 2*u - 67 = 9. What is the remainder when u is divided by v(4)? 12 Let l be 3*5/(-45)*-33. Calculate the remainder when 86 is divided by 0 - (-21 + -1) - (l - 13). 14 Let z(q) = -q**2 + 39*q - 30. Let d be z(27). Let p = 344 - d. Let g(a) = a**2 + 17. Calculate the remainder when p is divided by g(0). 16 Suppose -6*d + 14*d = 200. Let n = 46 - d. What is the remainder when 40 is divided by n? 19 Suppose -5*y = -5*s + 565, -39*y = 3*s - 35*y - 325. What is the remainder when s is divided by 48? 15 What is the remainder when 109 is divided by (12 + (-296)/28)/(2/28)? 9 Let t = -2 - -4. Suppose -y + 141 = t*y. Let l = y + -8. What is the remainder when l is divided by 10? 9 Suppose 0*q + 90 = -5*q. Let s = 14 + -9. What is the remainder when (-202)/q + 2/(-9) is divided by s? 1 Suppose 89 - 275 = 2*g + 5*b, -8 = 2*b. Let w = -78 - g. Calculate the remainder when 27 is divided by w. 2 Suppose 2*p = -3*p. Suppose -5*a + 6 = -3*h, p = h - 6*h + 15. Suppose -103 = -5*g - a*s, -4*g - 4*s + s + 80 = 0. What is the remainder when g is divided by 6? 5 Suppose -16*w + 6*w = -2650. Calculate the remainder when w is divided by 91. 83 Calculate the remainder when 408/32*(8 - 4) is divided by 40. 11 Let q be -16*(-15)/(-10)*(-2)/1. Suppose -37*k + q = -34*k. What is the remainder when 45 is divided by k? 13 Suppose 5*n + 62 = 272. Suppose -6*h + 3*h = -n. Suppose r + 1 - 5 = 0. What is the remainder when h is divided by r? 2 Let f(t) = 3*t**2 + 42. Calculate the remainder when f(-9) is divided by 41. 39 Suppose -5*z + 2*j = -33, 0 = 2*z - 5*j + 5 - 14. Calculate the remainder when 27 is divided by z. 6 Let s(z) be the second derivative of z**4/6 + z**3/2 - 4*z**2 + 8*z - 7. Let b = -2 - 2. What is the remainder when 46 is divided by s(b)? 10 Suppose 0 = -0*d + 3*d + 4*t - 14, -4*t = -3*d - 26. Let n be (9/d)/(2/(-20)). Calculate the remainder when (n/(-25))/((-2)/10) is divided by 6. 3 Let g = 1550 + -1532. What is the remainder when 104 is divided by g? 14 Let q(n) = -21*n**3 - 2*n**2 + 3*n + 3. Let l be q(-2). Let b = -96 + l. Let h(o) = 5*o - 19. Calculate the remainder when b is divided by h(8). 19 Let p = 70 - 66. Suppose 4*r - 4 = -3*c + 8*r, 0 = -r - 1. Suppose f - 1 = c, -4*v + 6 = -2*f - 0*f. What is the remainder when p is divided by v? 0 Let y(k) = 5*k**2 - 3*k - 2. Let x be y(3). Let s = x + -27. What is the remainder when s is divided by 3? 1 Calculate the remainder when (-102)/(55/(-22)*3/5) is divided by 13. 3 Let o(y) = 2*y**2 + 6*y + 15. Calculate the remainder when 222 is divided by o(-3). 12 Let n(l) = 3*l**2 + 61*l - 519. What is the remainder when 657 is divided by n(7)? 52 Let q = 31 + -26. Suppose -198 = -6*i + 120. What is the remainder when i is divided by q? 3 Let l(p) = 18*p + 3. What is the remainder when l(3) is divided by (29/2)/((-4)/(-8))? 28 Let h(y) = -5*y**3 + y**2 + 10*y + 12. Calculate the remainder when 71 is divided by h(-2). 35 Let a = -32 + 180. What is the remainder when a is divided by 38? 34 Let k = -257 + 281. What is the remainder when 44 is divided by k? 20 Let j = -4 - -5. Let w(o) = 41*o + 2. What is the remainder when 83 is divided by w(j
{ "pile_set_name": "DM Mathematics" }
**2. Let t be m(8). Is (81 - t) + (-1 - 1) composite? False Let j(z) = -z**3 - 8*z**2 - 9*z + 7. Suppose 2*m + 0*r = -5*r - 9, 3*r = 3. Is j(m) prime? False Let k(b) = 6*b**2 - 51*b + 34. Is k(-23) a composite number? True Let v(t) = t - 1. Let q be v(6). Suppose 3*a - d + 6*d - 72 = 0, 0 = -5*a + q*d + 80. Is a a composite number? False Let w = -99 - -149. Let v(f) = 2*f + 18. Let c be v(-8). Suppose 4*g + 2*d = w + 306, 0 = c*g + 4*d - 178. Is g composite? False Suppose -8*m + 3*m = 0. Suppose m = -z - z + 628. Is z prime? False Is 4*-5613*(-6)/72 a prime number? True Suppose -i + 2 = r, 4*i + 5*r - 11 = 1. Let u = 4 + i. Suppose -5*s + 5*q + 70 = 0, u*s - 3*q + 5 = 28. Is s a prime number? True Let x(v) = -25*v**2 + v + 1. Let r(j) = -14*j**2 + 1. Let i be r(1). Let m(g) = -49*g**2 + 2*g + 2. Let y(s) = i*x(s) + 6*m(s). Is y(-1) composite? False Suppose -5*j = -3*j - 2. Let v be j/2*(-8 - -8). Let p = 23 - v. Is p a prime number? True Let u = 183 - -148. Is u a composite number? False Let q(p) = -2*p - 12. Let z be q(-9). Let s be (-2)/((z/3)/(-2)). Suppose -r + n - s*n + 155 = 0, -5*r = 3*n - 779. Is r composite? False Let y(x) = 170*x**2 - 3*x + 5. Is y(2) a composite number? True Let u(a) be the first derivative of -7*a**2 - 1. Let b be u(-3). Suppose -3*k = j + 2*k - b, -j - k + 46 = 0. Is j a composite number? False Is (-44450)/(-20) + (3/(-2))/1 prime? True Suppose 3*b - 5*y + 33 = 0, b - 4*y = -7*y + 3. Let d be (-8)/6*27/b. Is d/24 - (-118)/8 a composite number? True Let r(z) be the second derivative of 17*z**4/12 - z**3/6 - z**2/2 + 5*z. Is r(5) composite? False Let z be (-2)/6*-3 - -104. Let u = -147 + z. Is (-13)/(2*3/u) prime? False Is 276/20 - 2/(-10) prime? False Let k be (-9)/(-15) + 11319/35. Let o = -150 - 59. Let i = o + k. Is i a prime number? False Let h(d) = -55*d**3 - d**2 - 4*d + 1. Is h(-2) composite? True Let n(v) = v**2 + 5*v + 3. Is n(5) a prime number? True Let d be (-6)/9 + (-1736)/(-3). Suppose r - 3*r = -4, d = -4*f - 3*r. Is -3 - (3 - 3) - f composite? True Let o(c) = 37*c**2 - c - 1. Is o(-2) a composite number? False Let k(f) = -4*f - 8. Let v be k(9). Suppose 0 = -b + r - 16, 2*b = -3*b - 3*r - 56. Let i = b - v. Is i prime? True Let v(z) = z - 1. Let m be v(3). Is (3/m)/(3/422) composite? False Let n(z) be the third derivative of 17*z**7/360 + z**6/720 + z**5/120 + z**4/12 + z**2. Let r(w) be the second derivative of n(w). Is r(-1) composite? True Let v(n) = -n**3 + 3*n**2 - 2*n + 3. Let t be v(2). Suppose 0*u = -t*u + 18. Suppose -u*o + 220 = -2*o. Is o prime? False Suppose -z + 1 = 2, -5*x - 5*z + 35 = 0. Let v(i) = 2*i - 9. Is v(x) a composite number? False Let n(i) be the second derivative of i**5/20 - 5*i**4/12 + i**3/3 - 7*i**2/2 + i. Let x be n(6). Is 2 - (-3 + 2)*x a composite number? False Let n(v) be the second derivative of 11*v**5/20 - v**4/12 - v**3/2 + v**2/2 + 5*v. Is n(2) prime? True Let q(t) = 17*t**3 + 2*t**2 + 3*t + 4. Let r be q(-3). Let b = 13 - r. Suppose -p = -4*s + 4*p + b, -p + 489 = 4*s. Is s a prime number? False Suppose 5*o = -5*l + 10865, 5*l = 5*o + 6*l - 10881. Is o composite? True Let p = -9 + 8. Let h(b) = b**2 + b - 6. Let u be h(0). Is p/(u/(-26))*-3 a composite number? False Let v(m) = m**3 + 9*m**2 + 9*m + 6. Let n be v(-8). Let o(k) = k**3 + 2*k**2 + 2. Let w be o(n). Is 1 + -1 - (-33 + w) a prime number? True Let g(f) = -3 + 2 - 9*f + 13*f. Is g(2) prime? True Suppose -171 = -3*b + 84. Is b a prime number? False Let u(g) = 3*g**3 + 4*g**2 - 4*g + 1. Let r(q) = 10*q**3 + 11*q**2 - 13*q + 3. Let k(v) = 2*r(v) - 7*u(v). Is k(-7) a prime number? False Let z = 9 + -7. Suppose 1730 = -0*t + z*t. Is t a prime number? False Let r = -49 + 18. Let n = 130 + -192. Let j = r - n. Is j prime? True Suppose 0 = 3*q - 701 - 16. Is q composite? False Let s be 30/8*200/10. Let w = 128 - s. Is w prime? True Suppose 0 = -6*t + t + 15. Suppose 2*g - 3*p - 3 = 0, g - 2*g - 12 = t*p. Is g/(3/(-13)) + -2 a composite number? False Is 1/(-4) + -6 + (-1211)/(-28) a prime number? True Suppose -3*n - 3*u = -30, 5*u - 17 = -4*n + 24. Let y(v) = -v**3 - v**2 + v - 2. Let q be y(0). Let w = q + n. Is w composite? False Let v = 105 - 68. Is v a prime number? True Is -59*4/2*46/(-4) composite? True Let u = 0 + 141. Is u composite? True Let p(q) = q**2 - 3*q + 3. Let l be p(2). Is -20*l/(8/(-22)) a composite number? True Let q = 14 + -7. Is q prime? True Suppose 0 = -2*a + a - 5*m + 59, -96 = -2*a + m. Suppose a = -q + 2*t + 132, 3*t + 164 = 2*q. Is q a composite number? False Suppose -5*w + 56 = -4*m, 0 = -4*w + 4*m - 0*m + 48. Let f = w + -4. Suppose 0 = -3*k + f*k - 19. Is k a prime number? True Let o = 905 - 642. Is o prime? True Suppose 2*s + 2868 = 6*s. Is s a composite number? True Let k(y) be the second derivative of y - 1/10*y**5 + 0*y**2 - 1/6*y**3 + 0 - 1/6*y**4. Is k(-2) a composite number? True Let m = -15 - -25. Let q = 4 + m. Suppose q = z - 5. Is z a composite number? False Let b(u) = u - 20. Suppose -2*c + 44 = 2*c. Let s be b(c). Is (-222)/(-9)*s/(-6) a prime number? True Suppose 0 = -3*z + 11 + 13. Suppose -z = 2*h, 2*d + 3*h - 279 - 35 = 0. Is d composite? False Let s(u) = 10*u + 6. Is s(4) composite? True Let p = -1401 + 4400. Is p composite? False Let w = 2 - 0. Let m(n) = 6 - 1 + n + 5*n + n**w. Is m(-8) composite? True Suppose 4*r + 2*v = 282, 2*r + 3*v = 7*r - 358. Is r a prime number? True Let v be 0/(-1 + (-9)/(-3)). Let m(q) = -q**3 + 5*q**2 + 6*q + 6. Let i be m(6). Let s = i - v. Is s a prime number? False Let w(n) = -n**2 + 319. Is w(0) a prime number? False Suppose 6*v + 5*i + 40 = 3*v, -5*v + i - 20 = 0. Let m(h) = 8*h**2 + 7*h + 4. Let u(n) = -15*n**2 - 14*n - 8. Let a(b) = -11*m(b) - 6*u(b). Is a(v) composite? False Let n = 74 + -105. Let q = 84 - n. Is q composite? True Suppose -4*t + 14 = 2*r, -3*t + 3*r - 7 + 22 = 0. Suppose -4*k = -0*k - t. Suppose k = 2*s - 27. Is s a prime number? False Let c = -3 + 6. Suppose 5*q + 0*u - 72 = c*u, -q - 2*u = -4. Suppose -2*s - q = -4*s. Is s a prime number? False Is (-3 - -403) + 2 - 5 composite? False Let x be (1/2)/((-4)/(-40)). Suppose -z - x*y + 78 = 0, 2*z - 124 - 7 = -5*y. Is z a prime number? True Suppose -4*g + 4*z - 405 = -1665, -z = -4*g + 1266. Is g prime? True Let l = 96 + -98. Let p(f) = 0*f**2 + 0*f**2 + 2*f**2 - 4*f**3 + 3 + 4*f. Is p(l) composite? True Let d be (4/(-6))/(4/6). Let f be (7*5 + d)/2. Suppose 4*b + f = 73. Is b composite? True Suppose 2*k - 375 = 5*d - 1662, 4*k = -4. Is d composite? False Let t be 1565/10 + 1/2. Suppose -161 = -2*m + t. Suppose 5*f = 2*f + m. Is f prime? True Suppose 0 = -3*d - 3, 0 = -3*q + d - 0*d + 10. Suppose 3*x - q*z = -12 + 1266, 3*z - 2066 = -5*x. Is x a prime number? False Suppose 5*b - 20 = -5. Suppose 141 = -b*x + 945. Suppose -3*j + j = 3*a - x, 2*a = -j + 135. Is j composite? False Let i(y) = -2*y**2 + 8*y + 1. Let a(v) = 4*v**2 - 17*v - 1. Let c(j) = -4*a(j) - 9*i(j). Let x = -5 + 10. Is c(x) composite? True Let z = 510 - 219. Let u = z - 148. Is u prime? False Suppose 13*i + 1959 = 16*i. Is i composite? False Suppose p - 5*p + 40 = 0. Suppose 36 = -4*m - 4*w, -5*m - 3*w + 5 = -p*m. Is -2 - 4/(m/49) prime? True Suppose k - 3*k + 216 = 0. Let r = k + -41. Is r a prime number? True Let l = -44 + -14. Let n = -103 + 64. Let t = n - l. Is t a prime number? True Suppose 1863 = -4*a + 9467. Is a composite? False Suppose 2*w - 424 = 74. Is w composite? True Let o be 2 + 1 + -122 + 2. Let a = 472 + o. Is a a prime number? False Suppose y + 89 = -868. Let p = -656 - y. Is p prime? False Suppose u = 3*o + 4*u - 5703, 2*u = 0. Is o composite? False Let s be (-2)/(-9) + (-20)/9. Suppose -3*t - 261 = -6*t. Is (2 + t/(-6))*s a prime number? False Suppose 3*n = -n + 100. Suppose 5*a + 0 = n. Suppose 5*s + a = 110. Is s a composite number? True Let d = 34 - 20. Let u = -4 + d. Is u a prime number? False Let f(c) = 3*c**2 + 4*c - 13. Is f(-9) prime? False Let j(p) = -p**3 + 6*p**2 - 4*p - 3. Let o be j(5). Let i = 3 + o. Suppose 4*c + 53 + 268 = i*v, -3*c = -3*v + 192. Is v a prime number? False Let g(q) = q**2 + 5*q - 3. Let x(o) = -o**2 - 14*o - 9. Let z be x(-14). Is g(z) a prime number? False Let w(a) = a**3 - 7*a**2 - 7*a - 7. Let l be w(8). Let h be (-1)/(-4) + 225/12. Is
{ "pile_set_name": "DM Mathematics" }
(9/(-20)). Is d <= -3? False Let x(n) = -2*n + 1. Let t be x(-2). Suppose -d - 4*v = t, -v - 6 = d + 4*v. Let b = d + 2. Are 0.03 and b non-equal? True Let a = 47/84 - -4/21. Let l = 32 - 31. Is a greater than or equal to l? False Let x = -11.5 - 36.5. Let b = x - -49.9. Let w = -2 + b. Which is smaller: -0.4 or w? -0.4 Let t = 20 + -31. Let a = -9 - t. Let f = 1393/15 - 93. Which is smaller: f or a? f Let c be (-2)/(-10) + 45/25. Let n(t) = -t**3 - 1 + 5 - 1 - 3*t**2 - t**c. Let d be n(-4). Which is smaller: d or 0? 0 Suppose -5*a - 3 = 7, -4*v - 4*a = -76. Is 23 < v? False Let d(v) = -2*v**2 + 12*v - 4. Let s be d(5). Suppose 4*c + 1 = -w, s = -4*w - c + 2. Is -2/9 at most as big as w? False Suppose -3*v - 5*j = 21, 0*v + 3*j = -4*v - 17. Let m = -253 - -254. Which is bigger: m or v? m Let b = -2355 + 167202/71. Which is smaller: b or 1? b Let r be (-3)/(-12)*20/235. Let v be (-2)/94*(-103)/(-9). Let k = v + r. Are 0 and k non-equal? True Let y(o) = -o + 9. Let w be y(8). Let v = -7 - -7.1. Is w < v? False Let x(d) = d - 7. Let w be x(0). Which is bigger: w or 1/4? 1/4 Let x be (1 + -1)*2/4. Let s = 2/235 - 713/940. Is x equal to s? False Suppose 3*r - 150 = -2*r. Let f be 5/r*3*-1. Which is greater: 1 or f? 1 Let p(i) = -i + 25. Let w be p(11). Suppose -3*b - w = -11. Which is smaller: 2/27 or b? b Let p = -2 + 7. Suppose 6 = p*u + 1. Is 2 less than or equal to u? False Suppose -5*u - 67 = -4*s, 0*s + 5*u + 21 = 2*s. Is 23 != s? False Let p = -1 - 0. Let u = p + 2. Let n = -0.2 + 0.1. Is u greater than n? True Suppose -4*g = -11 - 17. Suppose -g*p = -4*p. Do p and -2/11 have the same value? False Suppose 0 = -3*v + 12 - 3. Let x = -3 + v. Let p be (2 + -3)*(0 - (-8)/(-92)). Which is smaller: x or p? x Let f = 3/25 + 2/25. Do -0.2 and f have the same value? False Let q = 17 + -9. Suppose 4*l = q*l. Is l bigger than -2/9? True Suppose -6*l + 2*l = 0. Let z = -2 - l. Which is bigger: z or -1? -1 Let d(y) be the second derivative of -y**5/20 + y**4/2 - 5*y**3/6 - 3*y**2 - 2*y. Let w be d(5). Which is smaller: w or -5? w Let q = -1709/972 + 2/243. Let r = q - -45/28. Suppose 0 = -a + 4 - 3. Which is greater: r or a? a Suppose -2*r = -5*r. Let o be 3 + -5 + (r - -1). Suppose 3*f = 5*n - 8, -n = -5*f - 0*n - 6. Is f at least as big as o? True Let a(c) = c**2 - 2*c - 2. Suppose 8*z - 9 = 5*z. Let v be a(z). Is 0.1 at least as big as v? False Let b = 74 - 66. Is 8 <= b? True Let d(v) = v**2 - 8*v - 3. Let y be d(8). Let b(p) = -3*p - 23. Let h be b(-7). Is h bigger than y? True Suppose -3*p - 2*c - 4 = 2*c, 2*p = -4*c - 8. Suppose -2*v + 4 = 2*v - p*n, v - 5*n = -3. Which is smaller: 3/5 or v? 3/5 Suppose i - s = 6, -i + 3*s + 13 = -3*i. Is i at least as big as 1? True Let q = 11 - 17. Let g = q + 6. Let w be (-50)/(-126) + 4/(-14). Is g > w? False Let y(s) = s + 8. Let n be y(-4). Suppose -2*r = n + 6. Let f be (6/r)/((-18)/(-20)). Which is smaller: -2 or f? -2 Let x = 6 - 6. Let o(v) = v**3 - 5*v**2 - 6*v - 3. Let p be o(6). Let c be 3/(-5) - (2 + p). Which is smaller: c or x? x Let n = -14 - -16. Suppose -5 = n*w - 7*w. Which is smaller: -2/11 or w? -2/11 Suppose 2*m - 641 = -4*j - 19, j + 5*m = 133. Let u be 3 + -2*j/108. Is 1 at least as big as u? True Let w = 9 + -18. Suppose 2*f - 18 = -f. Let v be (-50)/f + 6/w. Is -8 > v? True Suppose 0*r = 4*r. Suppose r*k - 5*k = -15. Let s = 0 - 0. Which is greater: s or k? k Let l(b) = -2*b - 4. Let u be l(-7). Suppose 2*a = 2*i - a + 32, 0 = -5*a + 20. Let w = u + i. Is -2/5 at most as big as w? True Let h be (-2)/(-8) + -2*(-39)/(-696). Which is bigger: h or 0? h Let x = -838/3 - -281. Let i(m) = -m - 2. Let g be i(-3). Are x and g unequal? True Suppose 0 = 5*p + u + 2, 4*p - 2*u - 8 = 2*u. Which is bigger: 3 or p? 3 Let g = -1.96 + 0.96. Are -17 and g equal? False Let k = -11.1 - -11. Is k <= 17? True Let b be 4/10 - (-1)/10. Is 2 equal to b? False Let a be 4/6 - 159/171. Let i = 73/133 + a. Which is smaller: 1 or i? i Suppose -2*k - 3 = -1. Let t be (k - 1) + (6 - 4). Is 0 > t? False Let i = -135 - -123. Is i != -120/11? True Let v be (-38)/(-2) + (-18 - -14). Is v <= 16? True Let f(a) = -a**2 + 9*a - 10. Let t be f(7). Let q(b) = -b**3 + 2*b**2 + 4*b - 1. Let x be q(3). Is x equal to t? False Let q be (-2)/((-16)/(-10)) + 0. Which is smaller: q or 0.2? q Let t be -1 - (-8 + 2 + 0). Suppose 3*o - 2 = 4*v, t = -2*v + v + 3*o. Let y be (-15)/156 - (-6)/(-39). Is v greater than or equal to y? True Let q(f) = 2*f**3 + 2*f**2 - 2*f - 2. Let h be q(2). Let c = -13 + h. Let j(o) = -o**3 - o**2 + 3*o - 4. Let i be j(-3). Is i at least c? True Let b(p) = -7*p - 48. Let s be b(-7). Which is bigger: s or -12/31? s Let i be 4/8 - 22/(-4). Let s = 5 - i. Let g be -1*1/s*1. Which is bigger: 0 or g? g Let u be 1 + ((-1)/2*0)/2. Does u = 14/13? False Let i be (-15)/30 - (-5)/2. Is 0 != i? True Suppose 0 = -5*h + c - 5*c + 7, -3*h + 3 = 2*c. Is h greater than or equal to -6/73? False Let y be (-14 - -21)*(1 - 0). Is y equal to 29/4? False Suppose 0 = 5*d + b + 2, 5*b - 15 = 3*d + b. Let x be 12/(-16)*32/36. Which is bigger: x or d? x Suppose -15 = -5*r, -3*c + 4*c - 7 = -r. Suppose 2*m = -5*u + 30, -m + 3*u = -2 - 2. Let i = m - c. Which is bigger: 5 or i? i Let g = -2 + 1. Let q be g/(-2)*(-14)/7. Which is greater: 1/7 or q? 1/7 Suppose 5*n - 17 = 4*t, 0*t = 3*t + 4*n + 36. Suppose -5 - 4 = l. Which is greater: l or t? t Suppose -4*q - 5*t = 4 + 6, 2 = -q - t. Which is bigger: q or 7/29? 7/29 Let p = -4.1 - -4. Are -1 and p non-equal? True Suppose 3*o - 120 = 7*o. Let l = o + 19. Let s = l - -9. Do s and 0 have different values? True Let j be (2/(-14))/(4/12). Is j >= 0.2? False Let p be (-1)/(22/(-7) - -3). Which is bigger: 5 or p? p Suppose j = 6*j + 55. Do -13 and j have different values? True Let h = 58 + -51.1. Let f = h - 7. Which is smaller: f or -0.3? -0.3 Let f = 0.06 + 0.1. Let b = -0.27 - 0.73. Is f bigger than b? True Let y(m) = 4 - 4*m - 2*m**3 + 7*m - 5*m**2 + 3*m**3. Let c(k) = 4*k - 21. Let i be c(6). Let u be y(i). Which is greater: -3 or u? -3 Let i = 9 + -6. Let l = i - 4. Are 2 and l nonequal? True Suppose -4*l + 44 = -5*l. Let w be 3/l*4/(-1). Is 1 not equal to w? True Suppose 162 = -2*d + 4*a, 5*d - a + 390 = -6*a. Is d at least as big as -78? False Suppose 0 = -3*b - 4*k - 1, 0 = -5*b + 2*k + 3*k + 10. Which is bigger: 22/9 or b? 22/9 Let a = -19 + 13. Let h be (-48)/(-18)*(-18)/8. Is h >= a? True Let p(r) = r**3 + 29*r**2 + 54*r. Let b be p(-27). Is -1/36 > b? False Suppose 4*f - 7 = 2*d + 7, 0 = 5*d + f - 9. Let l = 702/7 - 100. Is d less than l? False Let m = 171 - 135. Which is smaller: m or 35? 35 Suppose p - 3*y = 18, -y - y - 22 = -4*p. Which is greater: p or 4? 4 Let q = -1712/7 + 244. Is q not equal to 0? True Suppose 0 = 3*n - 0*n - 4*b - 22, 0 = 2*n + 3*b + 8. Suppose 3*s - 18 = -3*i, 0 = n*i + i - 2*s + 2. Let l be 2/9 - (-42)/54. Which is greater: i or l? i Let k = 29.2 + -27. Let n = k + -3.1. Let j = n - -1. Which is bigger: j or -3? j Let s = 1 + -1.01. Let x = -0.82 + -0.18. Is s <= x? False Let p be (-28)/13 - (-7 + 5). Let h(t) = -t**2 - 7*t + 8. Let v be h(-8). Is p <= v? True Let r = 114/13 + -1052/117. Which is smaller: r or -1? -1 Let o(l) = l**2 + 6*l + 5. Let q be o(-5). Does q = -2/135? False Suppose -x = -4*x - 90. Let j be 16/x + (-3)/(-9). Which is greater: j or 0? 0 Let j(f) = -f**3 + 4*f**2 - f + 4. Let n be j(3). Which is greater: 7 or n? n Let x = 13.96 - 14. Let l = x - 0.06. Is -3/4 > l? False Let u be (-12)/(-4) + 18/(-8). Do 2 and u have different values? True Let k = 0.6 - 0.2. Let a = k + -0.1. Is a > -0.1? True Let f = 38/5 - 37/5. Do f and -1/3 have different values? True Let d be (-16)/(-18) - 4/6. Let l be 200/99 - 6/3. Let c = 68/99 - l. Which is greater: d or c? c Suppose 3*u = -c - 35, -25 = -0*u + 3*u - c. Let i(o) = o**2 + 10*o. Let l be i(u). Which is greater: 1/3 or l? 1/3 Suppose -2*i + 8 = 0, 2*i - 58 = -7*c + 2*c. Is c at most 11? True Let l(i) = i**2 - i - 2. Let h be l(2). Let k be (h + (-1)/1)/2. Let x(z) = -z**3 + 2*z**2 + 3*z. Let n be x(3). Is k smaller than n? True Let l = -10 - -6. Let p = l + 2. Let b(c) = -c**3 + 2*c**2 - 2*c + 3. Let s be b(2). Which is smaller: p or s? p Let f be (6/(-40))/((-6)/(-4)). Suppose -24 = -3*v -
{ "pile_set_name": "DM Mathematics" }
v a multiple of 24? True Let h = 68 - -4. Let d = h + -2. Is 5 a factor of d? True Let p(d) = -2*d**2 - 3*d + 2. Let h be p(0). Suppose -h*a = -7*a + 285. Is a a multiple of 4? False Let p(f) = -2*f + 10*f**2 + f**3 + 9*f - 19*f - 11. Is p(-10) a multiple of 24? False Let o = 58 - 4. Suppose -57*w + 540 = -o*w. Does 19 divide w? False Suppose -k + 20 = -3*v, 2*k + 5*v + 30 = 3*k. Let w = -112 + 114. Suppose -l = -3*g + 35, w*g = -k*l + l + 28. Does 6 divide g? True Let g(k) = 107*k - 1530. Is g(22) even? True Is (-1 - 5)/((-32)/208) a multiple of 19? False Let u be (3 - (-2 + 1)) + 372. Suppose -9*h + u + 209 = 0. Is 6 a factor of h? False Let r be 62/6*21/14*18. Suppose 229 = 2*n - 5*u, -2*n + 5*u - r = -4*n. Does 13 divide n? False Suppose p + 4*p = 10. Suppose 0 = -2*x - p*k + 60, -2*x - 3*k + 39 = -18. Is 11 a factor of x? True Suppose 11*b - 6750 = -16*b. Does 50 divide b? True Does 3 divide -7 + (-160)/(-24) + 8224/12? False Suppose -n - 841 = -2*n + a, 6*a = -6. Is n a multiple of 56? True Suppose -65 - 160 = 3*i. Let g = -50 - i. Does 3 divide g? False Suppose 0 = 5*f - 2 + 17. Let y = f + 3. Suppose -q = 4*d - 26, 7*q - 3*q + 3*d - 65 = y. Does 8 divide q? False Suppose 1115 = 5*i - 2075. Is 22 a factor of i? True Suppose 4*z + 3*p - 15 = 0, -2*z + 3*p + 6 = z. Suppose 5*h - 8 = z*h. Suppose -321 = -h*k + k. Does 12 divide k? False Let s = -21 - -21. Let o(y) = 0*y**2 + 9 + 3*y**2 + 6 - 4*y**2. Is 15 a factor of o(s)? True Let t(o) = 12*o + 5. Let i(q) = -13*q - 6. Let a(j) = -3*i(j) - 4*t(j). Does 2 divide a(-1)? False Let g(m) be the second derivative of m**5/20 - 23*m**4/12 - 19*m**3/6 - 3*m**2/2 - 34*m. Is 6 a factor of g(24)? False Suppose 3*u - v = 945, 3*u + 8*v = 4*v + 930. Let k = -212 + u. Does 15 divide k? False Let g(h) = -43*h + 1. Let b be g(-1). Let k(r) = 10*r + 82. Let y be k(-8). Is y/11 + 388/b a multiple of 3? True Suppose a - j - 10 = 2*j, -4*j = -a + 11. Is 19 a factor of 130 + (-5 + a)/(-2)? False Let v be 172/10 - 3/15. Suppose 2*d - 3*t = 5, 4*d - 2*t = v + 13. Is d a multiple of 6? False Suppose 0*o + 3*o = 0. Suppose 5*b - 26 + 326 = o. Does 22 divide (-12)/b - 109/(-5)? True Suppose 0 = 5*q, y + 2*q - 14 = 20. Suppose -5*o = -334 + y. Is 16 a factor of o? False Let c = -191 + 483. Is c a multiple of 65? False Let i = 183 + -126. Suppose p + 4*c = -5, 3*c + 95 = 5*p - c. Suppose i = 4*g - p. Is g a multiple of 18? True Let b be (-128)/(-24) - (-1)/(-3). Suppose -5*x + 0*f + 4*f + 84 = 0, -b*x + 3*f = -83. Let p = x + 4. Is 5 a factor of p? True Suppose 119 = 5*v - 131. Suppose v = -f - f. Let d = f + 35. Is 5 a factor of d? True Suppose 4*g + 0*g = -5*u + 3816, 2*u - 3*g = 1531. Is u a multiple of 5? False Suppose -10*r = -2967 - 4733. Is r a multiple of 55? True Suppose -x + 23 = 2*s, -x - 3*s + 12 = -14. Suppose -p + x = f - 23, -f + 44 = 2*p. Does 12 divide f? True Let z(g) = -g**2 - 17*g - 19. Let n be z(-16). Let a(y) = 3*y**3 + y**2 - 4*y - 6. Let v be a(n). Is 11 a factor of 40/(-10) - v/2? False Let n(m) be the second derivative of 101*m**3/6 + 5*m**2/2 + 11*m. Let s be n(3). Suppose -7*j = -0*j - s. Does 15 divide j? False Is 33 a factor of (-24149)/(-82) - (-1)/2? False Let g(s) = -19*s**2 + 3*s - 3. Let l be g(3). Let n be (-58)/(-15) + (-22)/l. Suppose 5*b + 1 = -v, 2*v - 16 = -n*b - 0*b. Is v a multiple of 7? True Suppose -y - 187 = -947. Is y a multiple of 4? True Let f(j) = -j**3 - 2*j**2 - 2*j - 1. Let i be f(-2). Suppose -6*c - 1195 = -5*y - c, 3*y - 723 = -i*c. Suppose -6*o + y = -o. Is 12 a factor of o? True Let v(y) = 6 - y**2 + y**3 + 0*y + 6*y**2 - 8*y + 3*y. Let u be v(-6). Suppose 7*i - 5*i - 18 = u. Is i a multiple of 2? False Suppose 2289 = -3*x + 4*x - 2*a, 5*x - 11409 = -2*a. Does 9 divide x? False Let c = -2 + 1. Let w(l) = -27*l - 19. Let f(n) = 55*n + 35. Let g(v) = -6*f(v) - 11*w(v). Is 7 a factor of g(c)? False Let s = 1373 - 643. Is s a multiple of 10? True Let z be (6/(-9))/(8/24). Let j(c) = -c**3 + c**2 + 3*c + 3. Does 9 divide j(z)? True Suppose 0 = 2*i - 10 + 56. Let u = i + 123. Does 25 divide u? True Suppose -b = 2 + 2, 0 = -4*t - 2*b - 16. Is 2 a factor of (t - -2) + (-3 - -6)? False Suppose 0 = 10*i - 1181 - 439. Is 4 a factor of i? False Let n(d) = d**2 + 19*d + 14. Let t be n(-19). Suppose -4*w - 3*z + 103 = -7, -4*z = 5*w - 138. Let y = w - t. Is y a multiple of 4? True Let s = 5 - 8. Let b be (4 + (-7 - s))/2. Suppose -4*i + 5*i - 16 = b. Does 16 divide i? True Suppose 15 = 5*z - 10. Does 18 divide 5*(2/z*77 - 0)? False Let g = 795 - -181. Is 10 a factor of g? False Let d = 122 - 24. Is d a multiple of 8? False Let t(i) = i**2 - 7*i + 70. Is t(12) a multiple of 11? False Suppose -1172*o + 1167*o + 8100 = 0. Does 27 divide o? True Let y(g) = g**2 - 7*g + 8. Suppose 8*b - 23 + 87 = 0. Is y(b) a multiple of 16? True Let d = -24 - -31. Suppose d*t = t + 258. Does 7 divide t? False Suppose 5*y + 10 = 0, -j = -37*y + 36*y - 1003. Is j a multiple of 91? True Suppose -2 = 4*q - 5*q. Let d(j) = j + 3. Let z be d(q). Suppose 0 = z*t - 2*t - 72. Does 12 divide t? True Let g be 8/52 + (-37)/(-13). Suppose 5*y + 9 = j - 2*j, -5*j - 4*y - g = 0. Is 14 a factor of j - (-11 + -3) - 1? True Let n = 186 - 87. Suppose 5*a = -2*l - 99, 0 = -3*l + 6*a - a - 111. Let x = n + l. Is x a multiple of 19? True Let c(n) = 11*n - 59 + 56 - 4*n. Let h be c(3). Does 13 divide 0/3 + h + -1? False Let l be (2 - 0)/((-11)/(-891)). Suppose -4*s + 3*s + 3*a + 45 = 0, -4*s + l = -3*a. Does 7 divide s? False Suppose 5*m = -5*q + 3*m + 3025, 5*m + 2453 = 4*q. Does 3 divide q? False Let g(z) = -z**3 + 5*z**2 - 6*z + 2. Let q be g(2). Suppose 3*b = -b + m + 558, q*m = b - 136. Is b a multiple of 35? True Let z be (-2)/8 + 75/(-4). Let d = 150 - z. Is d a multiple of 11? False Let i = 842 + 113. Does 65 divide i? False Let a(f) = -f**3 + 20*f**2 - 20*f + 19. Let i be a(19). Suppose 0*g + g - 27 = 3*z, i = 4*g + 2*z - 122. Is g a multiple of 5? True Let w = 31 - 32. Let h be (0 - -24)/(1/1). Is (-7 + h)*(w + 2) a multiple of 7? False Does 83 divide -1494*(-12)/24 + 0 + 0? True Let n(z) = z**2 - 3*z - 24. Let s be n(7). Is 30 a factor of (-1 + 0)*(-114 + s)? False Let u = -154 + 134. Let n(o) = -3*o - 15. Does 3 divide n(u)? True Suppose 3*a + 10 = -o, 2*a = -o + 5*o - 16. Does 3 divide (-1 + o)/(6/180)? True Suppose -4*o + 8 = 0, -5*c = -2*c - 3*o + 339. Let z = c + 200. Does 11 divide z? False Suppose -2*d - 34 - 6 = 0. Let b = d + 21. Suppose -4*m = -3*u + 100, -4*m - b = -9. Is u a multiple of 12? True Suppose 2*b = 5*b - 4*a + 11, 0 = -2*b + 5*a - 19. Is 22 a factor of (b + 38 - 4)*1? False Is 2 a factor of 11 + (5 - 6)*-3? True Suppose -325 = -5*w + 5*o, -5*w = 5*o - 308 + 33. Does 20 divide w? True Let h(i) = -2*i - 9. Let o be h(-7). Let q(u) = 3*u - 11. Let g be q(o). Suppose 5*c - 64 = f + 52, -8 = -c + g*f. Is c a multiple of 12? True Let c(r) = r**2 + 4*r - 2. Let f(w) = 0*w + 3*w - 2*w. Let d(i) = c(i) - 4*f(i). Does 3 divide d(3)? False Let y(i) = i**2. Let x(h) = h**3 - h**2 + 2*h - 6. Let c(w) = -x(w) + 4*y(w). Suppose -n - 7 = -k, 0 = 4*k - 2*n + 5*n - 7. Is c(k) a multiple of 5? False Let h = -120 - -495. Is h a multiple of 25? True Suppose 18*z - 4*z = 686. Suppose -46*k - 54 = -z*k. Does 6 divide k? True Let r(a) = 39*a + 29. Let l(k) = 13*k + 10. Let b(z) = 8*l(z) - 3*r(z). Does 18 divide b(-11)? False Let h(a) = -3*a - 9. Let b be h(-3). Suppose -4*u + 2*u = b, -3*m = 3*u - 204. Suppose 4*q + m + 6 = 3*t, -4*t + 136 = 4*q. Does 6 divide t? True Let r be (-2)/8*10*-2. Let g = 34 + r. Is g a multiple of 16? False Is 29 a factor of ((-78)/(-12) + 1)*58? True Suppose -6 = 12*z - 15*z. Suppose z*o = -3*o + 375. Does 21 divide o? False Let u(g) be the third derivative of -g**4/24 + g**3/6 + 5*g**2. Let o be u(0). Suppose r - 6 - o = 0. Is r a multiple of 2? False Let p be -6*4/(-6) - -1. Let w(o) = o**2 - 6. Let g be w(p). Let f = g + -6. Is f a multiple of 8? False Let h(w) be the first derivative of 6*w**3 + w**2/2 + 2*w + 13. Suppose -4*q - q + 2*v = 14, 3*v = 6. Is 24 a factor of h(q)? True Suppose -11 = -4*a + 5. Suppose 3*g = -b + 64, a*g + 21 - 88 = -b. Does 12 divide b? False Let r be (70/8)/((-1)/4). Let o be -4 - (740/5)/(-2). Let m = r + o. Is 13 a factor of m? False Suppo
{ "pile_set_name": "DM Mathematics" }
. Give 7*o(y) + 2*w(y). y**3 - y Suppose 5*r - 3*y + 27 = 0, 2*r + 4*y + 9 = 7*y. Let o(w) = 4*w**3 + w - 3. Let m(q) = 3*q**3 - 2. Calculate r*m(t) + 4*o(t). -2*t**3 + 4*t Let o(g) = 2*g**2 + g + 2. Suppose -1 = -2*x + 1. Let p = x - -1. Let z(m) = -1 + 0*m**p + m**2 - 2*m**2. Give 2*o(u) + 6*z(u). -2*u**2 + 2*u - 2 Let m(v) = 11*v**2 - 8. Suppose -21 + 4 = -j. Suppose -j = 2*k - 1. Let d(x) = 7*x**2 - 5. Determine k*d(y) + 5*m(y). -y**2 Let l(n) = 4*n + 3. Let m(u) = 7*u + 5. Let z(a) = -a**2 + 8*a - 9. Let c be z(8). Let w be (-3)/2*(-18)/c. Determine w*m(f) + 5*l(f). -f Let m(b) = 7*b**2 + 3. Suppose -6*a + 4*i = -5*a - 12, 155 = 5*a - i. Let o(u) = 76*u**2 + 32. Determine a*m(l) - 3*o(l). -4*l**2 Let y(d) be the first derivative of d**3/3 + d**2/2 - 7*d - 41. Let c(j) = j - 6. Determine 5*c(p) - 4*y(p). -4*p**2 + p - 2 Let c(n) = -67*n**3 + 6*n**2 - 6*n. Let l(s) = -671*s**3 + 61*s**2 - 61*s. Calculate -61*c(t) + 6*l(t). 61*t**3 Let y(j) = -j**3 - j**2 - j. Let z(i) = 4*i**3 + 3*i**2 + 3*i. Let r = 99 - 96. Give r*y(g) + z(g). g**3 Let s(l) = -12*l**2 - 4*l. Let k(y) = 6*y**2 + 2*y. Give 10*k(n) + 4*s(n). 12*n**2 + 4*n Let w(m) = -2*m**2 - 5. Let z be ((-2)/6)/((-1)/6). Let h(x) = -x**z - 4 + 5 - 4. Let l(y) = y**2 - 3*y - 7. Let b be l(5). Calculate b*w(c) - 5*h(c). -c**2 Let c(z) = -2*z**3. Let k = 16 + -18. Let d(x) = -10*x**3. Determine k*d(v) + 11*c(v). -2*v**3 Let n = -8 - -12. Let k(j) = 2*j. Let o(d) = 4*d. Let h(p) = 4*p. Let y(x) = 5*h(x) - 4*o(x). Give n*y(q) - 9*k(q). -2*q Let k(d) = -1. Let z(h) = h - 3. Let r = 2 + -1. Let w = r + -3. What is w*z(i) + 5*k(i)? -2*i + 1 Let z(b) = -b**3 + b + 1. Let o(v) = 27*v**3 - 3*v - 3. Give o(g) + 3*z(g). 24*g**3 Let p(w) = 8*w**2 - 12*w + 1. Let r(u) = 9*u**2 - 13*u + 1. What is 7*p(g) - 6*r(g)? 2*g**2 - 6*g + 1 Let r(s) = 55*s. Let d(p) = -18*p. Calculate -8*d(c) - 3*r(c). -21*c Let u(r) = 38*r - 1. Let x(p) = 115*p - 4. Determine -7*u(h) + 2*x(h). -36*h - 1 Let x(l) be the first derivative of 2*l**2 + 1. Let h(i) be the third derivative of 5*i**4/24 + 12*i**2. Calculate 2*h(q) - 3*x(q). -2*q Let c(m) = -1. Let d(k) = k**2 + k - 2. Give -4*c(p) + 3*d(p). 3*p**2 + 3*p - 2 Let w(h) = 6*h**3 - 3*h**2 + 3*h. Let d(o) = o**3 + o**2 - o. Calculate -6*d(x) - 2*w(x). -18*x**3 Let j(f) = -2*f**3 - 3*f**2 + 3*f + 2. Let w(v) = v**2 - v - 1. Give -j(s) - 2*w(s). 2*s**3 + s**2 - s Let o be ((-15)/(-3) + -3)*4. Let u = o + -13. Let l(q) = -4*q**3 - 5*q**2 + 5*q + 5. Let y(t) = -3*t**3 - 4*t**2 + 4*t + 4. What is u*y(x) + 4*l(x)? -x**3 Suppose 0 = -2*x - 2*i - 4, -5*x - 26 = i. Let o(r) = r + 4. Let d(s) = s + 3. Calculate x*d(j) + 5*o(j). -j + 2 Let p(n) = -2*n - 3. Let s(m) = -m**2 + 2*m + 2. Give 2*p(j) + 3*s(j). -3*j**2 + 2*j Let p(j) = -27*j**3 + 9*j**2 + 9*j - 9. Let f(x) = -x**3 + x**2 + x - 1. What is 9*f(q) - p(q)? 18*q**3 Let t(v) = -v. Let j(d) = -7*d**3 + 6*d. Calculate j(h) + 6*t(h). -7*h**3 Let d(x) = -25*x**2 - 40*x - 40. Let y(v) be the first derivative of 2*v**3/3 + 3*v**2/2 + 3*v + 14. Calculate -3*d(h) - 40*y(h). -5*h**2 Let c(b) be the third derivative of b**6/120 - b**3/3 - b**2. Let l(p) = -3*p**3 + 5. Give -5*c(n) - 2*l(n). n**3 Let w(g) = 16 - 14*g - 1 + 2. Let y(v) = v + 4. Let c(a) = 8*a + 6. Let m(q) = -c(q) + 3*y(q). Calculate 17*m(i) - 6*w(i). -i Suppose 3*a - 4*o - 16 = 5*a, -4*a = -4*o - 28. Let i(x) = x + 11. Let j be i(-8). Let g(t) = -4*t - 2. Let u(c) = 7 + 3*c - 5 + 0. What is a*g(p) + j*u(p)? p + 2 Let b(t) = 5*t - 3. Let x(o) = 14*o - 8. Let j be 66/4*(-4)/(-6). Let m(w) = -w - 11. Let u = -11 + 4. Let h be m(u). Give h*x(r) + j*b(r). -r - 1 Let w(n) be the second derivative of -n**4/3 - 7*n**3/6 - 16*n. Let k(i) = -6*i**2 - 11*i. Let x = -7 + 15. Calculate x*w(h) - 5*k(h). -2*h**2 - h Let x(q) = -3*q + 1. Let s(k) = k - 4. Let o(m) = -2*s(m) + 6*x(m). Let z(c) = -7*c + 5. Give 4*o(g) - 11*z(g). -3*g + 1 Let f(b) = 2*b**3 - b**2 - 5*b. Let i(y) = -y**3 + y**2 + 5*y - 1. Give 2*f(x) + 3*i(x). x**3 + x**2 + 5*x - 3 Let a(o) be the second derivative of o**5/20 + o**4/3 - 2*o**3/3 - 3*o**2 + 3*o. Let f(j) = -3*j**3 - 11*j**2 + 11*j + 17. Give 17*a(k) + 6*f(k). -k**3 + 2*k**2 - 2*k Let z(w) = 11*w**2 + 11*w. Let a(q) = 7*q**2 + 2*q - 5. Let h(j) = -22*j**2 - 6*j + 16. Let i(r) = 16*a(r) + 5*h(r). Calculate 34*i(b) - 6*z(b). 2*b**2 + 2*b Let k(t) = 13*t. Let n(o) = 7*o. What is -3*k(q) + 5*n(q)? -4*q Let g(w) = -3*w**2 + 2*w - 4. Let h(t) = 6*t**2 - 4*t + 8. Calculate 5*g(b) + 3*h(b). 3*b**2 - 2*b + 4 Let z(n) = -4*n - 3. Let m(g) = g**2 - 12*g - 11. Let i be m(13). Let s(v) = -9*v - 7. What is i*s(p) - 5*z(p)? 2*p + 1 Let q(u) = -3*u**3 + 3. Let k(m) = -m**3 + m + 1. Give 5*k(a) - q(a). -2*a**3 + 5*a + 2 Let m(d) be the second derivative of d**3/6 - 2*d. Let c(x) = -2*x + 1. Give -c(z) + 2*m(z). 4*z - 1 Let i(o) = 3*o**3 + 2*o + 5. Let f(g) = 3*g**3 + 2*g + 6. What is -3*f(j) + 4*i(j)? 3*j**3 + 2*j + 2 Let g(k) = 2*k**2 - 3*k - 6. Let s(j) = j - 1. Calculate -g(v) - 4*s(v). -2*v**2 - v + 10 Let x(i) = -i**3 - i**2 - i. Let u(l) = -l**3 + 2*l**2 + 3*l - 2. Calculate u(t) + 3*x(t). -4*t**3 - t**2 - 2 Let o(r) = 2*r**3 - 3*r**2 + 3*r + 3. Let x(w) = 3*w**3 - 5*w**2 + 5*w + 5. Suppose 5*d + 12 = d. What is d*x(z) + 5*o(z)? z**3 Suppose -4 + 0 = -4*h. Let k(v) = -2*v + 4. Let n(c) = 2*c**3 - 2*c**2 - c - 2. Let p be n(2). Let a(b) = 6*b + 0*b - 6*b - 1 + b. Give h*k(o) + p*a(o). 2*o Let d(q) = -2*q - 5. Let b(c) be the third derivative of c**3/6 + 4*c**2. Calculate 3*b(v) + d(v). -2*v - 2 Let g be 0 + 3 + 8/4. Let j be 4/(-10) + 27/5. Suppose -22 = d + g*r - r, 0 = j*d - 3*r - 5. Let x(l) = -2. Let q(m) = m**2 - m - 10. Give d*q(z) + 11*x(z). -2*z**2 + 2*z - 2 Let b(f) be the first derivative of f + 1/2*f**2 - 1. Let k(g) = 1. Let r(i) = -4*i - 5. Let p(n) = -2*k(n) - r(n). Determine 14*b(m) - 4*p(m). -2*m + 2 Let m(g) = 2*g**2 + 2. Let u(j) = -10*j. Let w be u(-1). Let v = w + -5. Let z(t) = -t**3 + 5*t**2 + 5. Give v*m(r) - 2*z(r). 2*r**3 Let z(n) = n**2 + n. Let h(a) = -9*a - 2. Determine -h(s) - 3*z(s). -3*s**2 + 6*s + 2 Suppose -13*x = -32 + 6. Let z(d) = 2*d**2 + 2*d - 2. Let r(v) = -8*v**2 - 8*v + 9. Calculate x*r(g) + 9*z(g). 2*g**2 + 2*g Let s(g) = -3*g**3 + 8*g**2 - 7*g. Let c(u) = -u**3 + 4*u**2 - 4*u. Determine 5*c(v) - 2*s(v). v**3 + 4*v**2 - 6*v Let k(m) = 15*m**3 - 6*m**2 + 4*m + 4. Let s(l) = -14*l**3 + 5*l**2 - 3*l - 3. Give 3*k(a) + 4*s(a). -11*a**3 + 2*a**2 Let u(x) = -17*x + 19. Let s(t) = -17*t + 17. Let m(c) = 4*s(c) - 3*u(c). Let p(y) = -6*y + 4. Calculate -4*m(j) + 11*p(j). 2*j Let p(r) be the third derivative of -r**3/2 - 2*r**2. Let o(h) be the second derivative of -h**3/6 - h**2 + 3*h + 1. Determine -3*o(g) + 2*p(g). 3*g Let j(r) = -17*r**3 + 5*r**2 - 7*r. Let m(o) = 8*o**3 - 2*o**2 + 3*o. Determine 3*j(f) + 7*m(f). 5*f**3 + f**2 Let v(a) = -a**3 - 1. Suppose 2 = -0*w + w. Let l(m) = -m**3 + m**2 - 2*m - 2. Calculate w*v(y) - l(y). -y**3 - y**2 + 2*y Let z(a) be the first derivative of -2*a**3/3 + 2*a**2 + 3*a + 1. Let c(m) = 2*m - 9 - 11*m + 4*m**2 + 2 + 0*m**2. Calculate -3*c(u) - 7*z(u). 2*u**2 - u Let u(r) = -42*r - 7. Let a(k) = -41*k - 6. Determine -7*a(v) + 6*u(v). 35*v Let z(j) = j + 1. Let a(x) = 4*x + 2. Calculate -3*a(v) + 8*z(v). -4*v + 2 Let f(t) = 6*t + 2. Let z(p) = -15*p - 6. Let s(a) = 10*a + 4. Let w(x) = 8*s(x) + 5*z(x). What is 6*f(l) - 7*w(l)? l - 2 Suppose 0 = 2*d - 3*w + 7, 4*d + 22 = w - 3*w. Let r(s) = -5*s + 1. Suppose -3*v = 2*m - 12, -2*m = -0*v - v - 4. Let p(f) = -9*f + 1. What is d*r(c) + m*p(c)? -2*c - 2 Let f(b) = 2*b**2 - 4. Let n(z) = 1 + 7*z**2 + 6*z**2 - 14*z**2. Determine f(t) + 4*n(t). -2*t**2 Let l(c) be the third derivative of 0*c**4 + 0 + 1/3*c**3 + 0*c - 1/60*c**5 + 2*c**2. Suppose 0 = 2*v + 18 - 0. Let b(d) = 5*d**2 - 9. What is v*l(x) - 2*b(x)? -x**2 Let w(j) = -j + 5. Let v(s) = s - 6. Let y be (1/2)/((-4)/(-40)). What is y*w(i) + 4*v(i)? -i + 1 Suppose -6 = -a + 2*a. Let m(b) = b**2 + 4*b - 6. Let p(t) be the first derivative of t**3 + 11*t**2/2 - 17*t - 14. Calculate a*p(z) + 17*m(z). -z**2 + 2*z Let s(h) = -3*h**2 - 7*h - 31. Let d(n) = 2*n**2 + 5*n + 21. What is -7*d(u) - 5*s(u)? u**2 + 8 Let s(a) be the second derivative of -4*a**3/3 - 3*a**2 - 4*a. Let w(i) = 14*i + 5. Let m(u) = 7*u + 3.
{ "pile_set_name": "DM Mathematics" }
(h) = -3*h**2 + 15*h + 6. Let w(f) = 3*g(f) - 2*l(f). What are the prime factors of w(17)? 2, 3 Let c = 4 - -8. Suppose 0 = f - 16 - c. Let g = 39 - f. What are the prime factors of g? 11 Let l(z) = z**3 - 11*z**2 - z + 13. Let u be l(11). Let g be 1 + -1 + (40 - u). Suppose 8 = 4*j, 4*f + j = -0*j + g. What are the prime factors of f? 3 Let k = 6 + -5. List the prime factors of -1 + -3 - (-30)/k. 2, 13 Suppose 7*z - 8*z = -5. Suppose 0 = s + s + 2*f + 14, 5*f - 85 = z*s. Let l = 22 + s. List the prime factors of l. 2, 5 Let t(a) = -429*a**2 - 6. Let o(g) = -429*g**2 - 5. Let c(y) = 7*o(y) - 6*t(y). Let s be c(1). What are the prime factors of (-12)/(-54) + s/(-18)? 2, 3 Let d(h) = -h**3 + 7*h**2 - h + 3. Let i be d(5). Suppose i = 2*b - 5*b. What are the prime factors of (-12)/b - (-10)/8? 2 Let u(l) = -l**3 - 2*l**2 + 2*l - 1. Let y be u(-3). Let j be (-2)/(y/13) + 1. Let p = 17 + j. What are the prime factors of p? 5 Let m be (-2)/(-11) - (-218)/11. Let y = m - 7. List the prime factors of y. 13 Let j = -7 + 12. Suppose 12 = 5*y - 4*w, -j*w = -2*y - 3*w + 6. Suppose -2*p + y = -6. What are the prime factors of p? 3 Let h(j) = 2*j**3 - j**2 + 2*j - 4. Let s(b) = -b**3 + b**2 - b - 1. Let z(m) = -h(m) - s(m). What are the prime factors of z(0)? 5 What are the prime factors of ((-103)/(-3))/(33/(-9) + 4)? 103 Let i(a) = -2*a**2 - 2*a**3 + a**3 + 4 - 2. Let k(h) = h - 8. Let t be k(6). List the prime factors of i(t). 2 Suppose 0 = -5*x - 15, -3*j + 53 = j + x. List the prime factors of j. 2, 7 Let o = -2 + 80. Let b be o/(-12) + (-1)/(-2). What are the prime factors of (b/(-8))/((-2)/(-24))? 3 List the prime factors of 3 + 1/1 - -24. 2, 7 Let t(f) = f**2 + 7*f + 7. Let v be t(-6). Let q(o) = 19*o**3 - o**2. Let s be q(v). Let n = -6 + s. What are the prime factors of n? 2, 3 Let s(x) = -2*x - 6. Suppose 0 = -v - 0*v + 2. Let y be v - 1/((-3)/(-18)). List the prime factors of s(y). 2 Suppose 4*r = -4*a + 4, 0 = -5*a + 3*r - 4*r + 25. What are the prime factors of 2*(-3)/a + 8? 7 Let r(b) = 16*b**3 + b**2 - 1. Let i(u) = 8*u**2 + 1. Let p be i(-1). Let d = p - 8. List the prime factors of r(d). 2 Let m = -11 - 105. Let y = -71 - m. Suppose 11 + y = 4*k. What are the prime factors of k? 2, 7 Let z(v) = 2*v**3 - 6*v**2 + v + 4. Let t be z(4). Suppose 3*j - 5*l = 3 + 29, 3*j - l - t = 0. What are the prime factors of j? 2, 7 Let p = 346 - 164. What are the prime factors of p? 2, 7, 13 Let g(w) be the second derivative of 4*w**3/3 + w**2/2 + 2*w. What are the prime factors of g(1)? 3 Suppose 3*q + 12 = 87. Suppose 0 = -t - 3*a - 3, q = 5*t + 4*a + a. What are the prime factors of t? 3 Suppose 2*m = j + 4*j + 411, -3*m = 5*j - 604. List the prime factors of m. 7, 29 What are the prime factors of 488/12 + 3/9? 41 List the prime factors of (-2 - 232/(-12))/((-4)/(-30)). 2, 5, 13 Let j(k) = -k**3 + 3*k**2 + 8*k - 3. Let s be j(6). What are the prime factors of s/(-4) + (-2)/(-8)? 2 Suppose 21 = 5*h - 9. Let p = h + -2. List the prime factors of p. 2 Let r = -4 - -20. Suppose -5*w + 64 = -r. List the prime factors of w. 2 Suppose s + 5*a - 255 = 0, -5*s + a + 3*a + 1159 = 0. What are the prime factors of s? 5, 47 Suppose -3*z + 102 = -198. Suppose -f - 4*f = -z. List the prime factors of f. 2, 5 What are the prime factors of (16*1)/((-4)/(-6))? 2, 3 Suppose 4*x - 2*x + 6 = -2*b, -5*b = 15. Suppose 2*z + x*z = 12. Suppose -s - 60 = -z*s. What are the prime factors of s? 2, 3 Let u(z) = z + 2. Let f be u(-2). Let a = 2 + 15. Let b = a + f. What are the prime factors of b? 17 What are the prime factors of ((-142)/3)/(10/(-30))? 2, 71 Suppose 1 = 3*k + 13, -k + 52 = 2*f. List the prime factors of f. 2, 7 What are the prime factors of 180/(5 + -1 + -3)? 2, 3, 5 Let i(h) = h**3 + 4*h**2 - 4*h + 4. Let c be i(-5). Let k be 2 + c*(-2)/1. Suppose 2*u + 3*l = 24, k*u - l = 3*l + 8. List the prime factors of u. 2, 3 Let z(s) be the third derivative of -2*s**3 + 7/60*s**5 + s**2 - 1/120*s**6 + 0 + 5/12*s**4 + 0*s. What are the prime factors of z(8)? 2 Let d = 17 - 6. Let f = d + 9. What are the prime factors of f? 2, 5 Suppose -7*w - 4 = -2*p - 5*w, 0 = -4*p + 5*w + 13. Let b(m) = m**3 + 2*m**2 - 5*m - 4. List the prime factors of b(p). 2 Suppose 54 = 5*t - 281. What are the prime factors of t? 67 Let i(q) = 1. Let a(x) = 18*x**2 + x + 4. Let b(n) = a(n) - 5*i(n). List the prime factors of b(1). 2, 3 Let t = -5 - -78. What are the prime factors of t? 73 Suppose 0*j + 4*w + 20 = 4*j, 16 = 2*j + 4*w. Let d = 0 - j. List the prime factors of (-2)/3 + (-16)/d. 2 Let g be (6 - 2)/(2/(-9)). Let h = 28 + g. Let r = h - 4. List the prime factors of r. 2, 3 Let j be -1 + 3 - (-2)/2. Suppose -j*z - 2 = -29. List the prime factors of z. 3 List the prime factors of 27 - (-2 + (-1 - 1)). 31 Let z = 25 + -13. Suppose -5*u + 37 = z. What are the prime factors of u? 5 Suppose -3*s - 3 = -3*w, -2*w + 2*s + 7 = -s. Let j be 1/(-8)*2*w. List the prime factors of (-1)/((-10)/(-11) - j). 11 Let o = -64 - -98. List the prime factors of o. 2, 17 List the prime factors of -1 - 0 - (-4 - (119 + -4)). 2, 59 Suppose 0 = f - 3*f + 28. List the prime factors of f. 2, 7 Let z(o) = 3*o**2 - 4*o - 3. Let m(p) = -3*p**2 + p. Let i be m(1). What are the prime factors of z(i)? 17 Suppose -4*b = -0*b - 48. List the prime factors of b. 2, 3 Suppose 2*r - 2*g + 592 = 7*r, 0 = -3*r - 5*g + 340. What are the prime factors of r? 2, 3, 5 Let k(n) = -n**3 - 6*n**2 - 4*n - 10. What are the prime factors of k(-6)? 2, 7 Suppose 1435 - 445 = 10*h. List the prime factors of h. 3, 11 Suppose 4 = c - 30. What are the prime factors of c? 2, 17 Let f(m) = -m**3 + 7*m**2 - 7*m + 3. Suppose 6*d = 3*r + 2*d + 5, -3*r - 2*d + 25 = 0. What are the prime factors of f(r)? 2, 3 Let w be (2/2 - (-1)/(-1))/(-2). Suppose -5*i - 2*m - 6 = -20, 4*i = -5*m + 18. Suppose i*f - 24 + 6 = w. List the prime factors of f. 3 Let r = 19 - 10. What are the prime factors of r? 3 Suppose 11*n = -2*n + 2574. List the prime factors of n. 2, 3, 11 Let w = 31 - -176. What are the prime factors of w? 3, 23 Let m(b) = -b**2 - 8*b - 9. Let u be m(-6). Suppose 84 = 3*y + 3*p, 3*p + 41 = -u*y + 5*y. What are the prime factors of y? 5 Suppose 0 = 4*h - 9*h + 125. What are the prime factors of h? 5 Let d = 17 + -41. Let r be (-4)/(-6)*(1 + -4). What are the prime factors of (d/r)/(1 + 1)? 2, 3 Let t be (2 + -1)/(-1) + 2. Suppose 2*j + t = 3. What are the prime factors of (-2)/(27/33 - j)? 11 Suppose 5*v - 10 = 5*c - 30, -2*c = -3*v - 10. Suppose c*h = m + 7, 8*m + 7 = 3*h + 3*m. List the prime factors of h. 2 Let j(g) = g**3 + 8*g**2 + 3*g - 8. Let t be j(-7). List the prime factors of (-4)/t + (-16)/(-5). 3 Let s = 7 - 5. Let u(g) = g**2 - 3*g + 3. Let a be u(s). Let c = a - -6. List the prime factors of c. 7 Suppose z - 55 = 7*m - 3*m, m - 113 = -3*z. What are the prime factors of z? 3, 13 Let a(v) = 2*v - 8. Let w be a(12). Let h = w - 2. List the prime factors of h. 2, 7 List the prime factors of (3836/35)/(2/5). 2, 137 Let r be (5/(-2) - -3)*46. Let u be r + (2 - (-2 + 5)). Suppose -4*d + 3*i + u + 4 = 0, 9 = d - 2*i. List the prime factors of d. 5 Let b = -142 - -218. List the prime factors of b. 2, 19 Let s(l) = l**3 + 3*l**2 + 5*l + 2. Suppose c + 1 = -2. Let w be s(c). Let u = w - -24. List the prime factors of u. 11 Let k(q) = -q**3 + 7*q**2 - 7*q - 8. Let m be k(6). Let z = m - -25. List the prime factors of z. 11 Let y(s) = s**2 - s + 11. Let w be y(0). Suppose 0 = -5*p - 2*r + 31, 3*p + r - w = -4*r. Suppose 0 = -5*t + p + 3. What are the prime factors of t? 2 Suppose -u + 0 = -3. Suppose 2 = -u*x + 4*x. Suppose x*l - 24 = -l. List the prime factors of l. 2 Let g be -1*6/(-2)*-3. What are the prime factors of (2 - g/(-6))*32? 2 Let i = -47 - -86. What are the prime factors of i? 3, 13 What are the prime factors of 168/40 - (-2)/(-10)? 2 Suppose 0 = 5*c - 126 + 41. Suppose -2*w - c = -5. List the prime factors of (1 - w) + (-1 - 1). 5 Let w = 1 - -1. Suppose w = l - 4. List the prime factors of l. 2, 3 Suppose -3*a + 3*z = -42, a - 6*a + 2*z + 61 = 0. List the prime factors of a. 11 Let n = -145 + 254. List the prime factors of n. 109 Let n(c) = -c**3 - 8*c**2 + 3. Let l be n(-8). Suppose l*w + 5*t - 45 = 0, -3*w + 3*t = -2*t - 15. List
{ "pile_set_name": "DM Mathematics" }
d(4). Which is the nearest to p? (a) v (b) -2 (c) j c Let w = -10 - -10.2. Let s = w + -10.2. Let l = s - -10.2. Which is the nearest to 2/9? (a) l (b) -4 (c) -1 a Let h = -3 + 4. Let q be 3 + (-9)/6*2. Which is the nearest to q? (a) h (b) -5/4 (c) 4/3 a Let w = -1.1 + 5.1. Let j = -13.93 - -14. Let f = -0.13 - j. Which is the nearest to -2? (a) f (b) w (c) 2/5 a Let v = 3.1 - 3.5. Which is the nearest to -0.1? (a) v (b) 4 (c) -2/7 c Let q = -4.08 + 0.08. Let y = 54 - 53.7. Which is the closest to 2/5? (a) y (b) 0.2 (c) q a Let u(m) = -3*m + 1. Let g be u(-1). Let w = 6 - 5.6. Let p be 17/(-5) + 1 - -2. Which is the closest to -2/9? (a) g (b) w (c) p c Let b = 11 - 15. What is the nearest to 0 in -5, b, 0.1? 0.1 Let o(a) = a**2 + 4*a - 4. Let l be o(-4). Let y = -119/1725 - -11/115. Let v = 28/75 + y. What is the nearest to v in 0.4, 4, l? 0.4 Let g = 4.04 - 0.04. Let j = -0.2 - 3. Let d = 3 + j. What is the closest to 0 in d, g, -0.4? d Let v = -1.3 - -1.5. Which is the closest to 1? (a) 0.5 (b) v (c) -1/6 a Let a be (3 + 145/(-50))/1. What is the closest to 0.5 in -0.3, a, 1/8? 1/8 Let x = -0.1 - 0.4. Let y = x + 0.1. Let j = y + 0.8. Which is the closest to -1? (a) -2/5 (b) 2 (c) j a Let r be ((-67)/(-2))/((-3)/(-2)). Let n = r + -22. Let t = 2 + -1.5. Which is the closest to n? (a) t (b) 3 (c) -2/11 a Let v = 4 - 3. Which is the nearest to v? (a) -0.3 (b) 0.2 (c) -0.2 b Let y = 7 + -10. Let p = 247/2865 - -9/191. What is the nearest to 2/5 in y, 0.2, p? 0.2 Let y = -0.33 - -0.13. Let d = -8 - -7.6. What is the nearest to 0.4 in y, d, 2/5? 2/5 Let t = 2.5 - 2. Let b = -0.21 - -14.21. Let c = b + -14.2. What is the nearest to 0.1 in c, t, 2? c Let v be (-10)/(-24) - 1/(-4). Let d be 0 + ((-10)/(-8) - 1). Which is the closest to v? (a) d (b) -0.3 (c) -1/3 a Let q be (-2)/2*1/(-3). Let v = -0.5 - -1. Let p = -0.3 + v. What is the closest to q in p, -2, -3? p Let o = 0.14 - 0.04. Let j be 92/20 + (-4)/(-10). Let s = -24 - -23.8. Which is the closest to o? (a) s (b) j (c) -0.1 c Let m = 11 - 12. Which is the closest to 5? (a) m (b) 0.5 (c) -4/7 b Let u be (-278)/42 + (-4)/(-14). Let l = u - -7. Let d = 20 - 17. Which is the closest to l? (a) 0.3 (b) 0 (c) d a Suppose -2*g + 50 = 5*y, -5*y + 3*y = -3*g - 1. Which is the closest to -1/2? (a) 0.4 (b) 1/12 (c) y b Let j = -4.5 - -5. Let h = -0.5 + j. Let q = -3 - -2.5. What is the nearest to h in 0.3, 1/6, q? 1/6 Let f be 1 - 2/((-372)/(-314)). Let p = -2/93 - f. What is the closest to -0.5 in p, -3/5, -4? -3/5 Let n = -5.74 - 0.26. Which is the closest to -1? (a) -0.5 (b) n (c) -4 a Let k be 19/(-45) + (-14)/(-63). What is the nearest to -0.1 in -1, k, 0.3? k Suppose t = 3*t + 6. Let r be 6/(-10)*(-8)/6. Which is the nearest to -0.1? (a) -0.1 (b) t (c) r a Let x be (-3 - (0 - 2)) + 49/21. Which is the nearest to -0.1? (a) x (b) -2/11 (c) 0.4 b Let u = 3.23 - 3.1. Let m = u + 4.87. Let g = 0 + m. What is the closest to -2/3 in -1/2, g, -5? -1/2 Let u = 5 - 1. Suppose s + u*s = -20. What is the nearest to -2 in 2, 1, s? s Let z = 0.1 - 0.1. Which is the closest to z? (a) -0.5 (b) 2/7 (c) -1 b Let m be (-2)/(-3)*1*3. Suppose 4*h + 20 = 0, m*y + 3*y + 5*h - 105 = 0. Let n be y/(-42) - (-1)/3. What is the nearest to 2/9 in 1/8, 1/3, n? 1/8 Let t = -11.8 + 6.8. What is the nearest to 3 in 0.1, 1/2, t? 1/2 Let q = 0 + 0. Let t = 0.2 + q. Let k = t + -0.1. What is the nearest to k in -1, 1/4, -1/5? 1/4 Let m = 0.015 - -3.985. Which is the closest to -1? (a) 5 (b) m (c) 0.03 c Suppose -5*p = -10*p + 5. What is the nearest to p in 0, -0.2, -0.5? 0 Let m = -1 - -4. What is the closest to 1 in m, 5, 4? m Let x = 26 + -16. Let w = 9 + -15. Let l = x + w. Which is the closest to 0? (a) -2 (b) l (c) 3/5 c Let g be -9*(-1)/6*(-4)/6. Which is the nearest to 1? (a) -3/4 (b) 0.2 (c) g b Let d be (-72)/126 + 10/(-56). Let y = -1 + 3. Which is the closest to -0.1? (a) -1/5 (b) y (c) d a Let h = 1.7 - -1.3. What is the closest to h in 1/3, -1/6, -2/9? 1/3 Let n = 7/33 + 5/11. Let l = 0.7 + -0.4. Let o = -1.2 - -1. Which is the nearest to n? (a) -2 (b) l (c) o b Let x be 4/20 - (-2)/90. Let y = 1.94 + 0.06. Let h = -0.9 - -1.3. Which is the nearest to 0? (a) x (b) h (c) y a Let y = -25 - -123/5. What is the nearest to 2.4 in -3, -2, y? y Let z(t) = -t - 4. Let q be z(-3). Let w = -0.483 + 0.083. What is the nearest to 2/3 in 4, q, w? w Let a = 9 + -8. Suppose 0 = 3*x + t - a, 0*t + 2*t - 10 = 2*x. Let z be (1 - x)/(-1 - -2). What is the closest to -1 in z, -5, 1? 1 Let p = 1.3 - 2.6. Let n = p + 0.3. What is the closest to 1/4 in -0.1, -1/4, n? -0.1 Let g be 16/(-18)*(-3)/(-4). Let c = 2 - 1.9. What is the closest to c in 2/3, g, 2? 2/3 Let k = -1 - -3. Let d = 3.4 + 0.6. Let w = k - d. Which is the closest to w? (a) 1/5 (b) 0.5 (c) 2/9 a Let o = -1.3 - -1.2. Let i = 0.3 - 0.4. Which is the closest to o? (a) 0.1 (b) 1 (c) i c Let l be (-8)/6*21/(-154). Let y be (-12)/20 + 51/60. What is the nearest to y in -3, -0.2, l? l Let r = 0 + 0.1. Let w = -0.03 - 0.07. Which is the closest to w? (a) r (b) 0.4 (c) -5 a Let s = 0.5 + -0.9. Let f = -0.1 - 0.5. Let y = -0.4 + f. Which is the nearest to y? (a) -3 (b) s (c) -0.2 b Suppose i + 81 = 68. What is the nearest to i in 2, 2/21, -1? -1 Let f = -5/3 + 19/15. Let d = f + -21/10. Let i = -0.24 - -0.34. What is the closest to 0 in i, -0.4, d? i Let p = 0.12 - 0.12. Which is the nearest to p? (a) -2 (b) -10/3 (c) -1/4 c Let s = 196.62 - 197. Which is the nearest to 0.1? (a) -2 (b) 0 (c) s b Let z = 1.4 + -1. Let s = 0.5 - z. Which is the closest to 1/2? (a) -4 (b) 2/7 (c) s b Let z = 0.23 + 1.77. What is the closest to 1 in 3, 4, z? z Let k = -0.3 - -0.2. Let o = 0.7 + 4.3. Let i = -197/665 + 1/95. Which is the nearest to i? (a) k (b) o (c) 3 a Let t(q) = -5*q**3 + q + 1. Let v be t(-1). Let r = -0.3 - -0.4. Let m = r - 0.3. What is the closest to m in 0.4, v, 0? 0 Let p = 4 - 0. Let u = p - 3.9. Let i = -0.1 + u. Which is the closest to -0.1? (a) -1/3 (b) i (c) -3 b Let z = 1/158 + -167/1422. Let m = -4.6 - -5. Let u = 82/3 - 27. Which is the nearest to -2/5? (a) z (b) m (c) u a Suppose 0 = -2*o + 2*c - 20, -o - 15 = -2*c. Let m = o + 7. What is the nearest to -2 in -0.3, m, 3? -0.3 Suppose -2*d - 3 = -d. Let w be (2/9)/((-2)/d). Which is the nearest to 0? (a) -2 (b) w (c) -0.2 c Let k = 0.8 - 3.8. Let v(u) = u**2 - 6*u + 5. Let t be v(5). Let g = -188 + 1318/7. What is the nearest to g in 3, k, t? t Let m = 2 + 1. Let g = -6 + m. What is the nearest to -2/3 in g, 2, 0? 0 Let p = 3 + -2.6. Let z = p + -4.4. Let i = 83/387 - -1/129. What is the nearest to 0 in z, -0.1, i? -0.1 Let z = 6 + -1. Let s = -23.1 + 23. What is the nearest to s in 1/2, -4, z? 1/2 Let q = 119 + -597/5. Which is the closest to q? (a) 1 (b) 0.5 (c) 2/21 c Let q = 7 - 6.7. Let d = q - 2.3. Which is the nearest to -0.1? (a) -3 (b) 0.4 (c) d b Let d = -4.9 - -0.9. Let f = d + 2. Let y be (30/4)/3 + -3. Which is the closest to y? (a) 3 (b) -0.3 (c) f b Let l be 3/(-15)*-1 + 89/5. Which is the nearest to 0? (a) 0 (b) -1/10 (c) l a Let z = 6 + -3. Let g = 4 - z. Let h = -4 + 7. Which is the closest to 2/3? (a) h (b) g (c) 1/5 b Let u be (3/(-2))/((-14)/(-93)). Let w = u - -41/4. Which is the nearest to w? (a) 5 (b) 1/4 (c) 1 b Let y = 0.91 + 0.09. Let r = -2 - -1.9. What is the nearest to y in 4, 0, r? 0 Suppose 4*t - 24 = -5*m - 0, 5*m - 12 = -2*t. Suppose -3*p + 0*p = t. What is the nearest to -3 in -0.2, p, 0.5? p Let y = -23 - 5. Let p = y - -23. Let r = 1.98 - -0.02. Which is the nearest to r? (a) 1 (b) -0.3 (c) p a Let h be -6 + 6/(2 - 0). Let k be (9/6)/(h/8). Let z = -0.1 + -0.1. What is the nearest to -2/3 in k, 0.5, z? z Let l = 0.168 + -0.068. Let p = 11 - 6. What is the closest to l in p, -5, -4? -4 Let g = -91 + 91.4. Which is the closest to 6/5? (a) 0.5 (b) -2 (c) g a Let o be ((-5)/(-10))/(-1 - -2). Suppose 7*s = -2*g + 2*s - 5, -4*g = -3*s - 3. Let u be ((-4)/70)/(3/(-15)). Which is the nearest to g? (a) 4 (b) u (c) o b Let h be (-1)/3 + (-3)/(-6). Let r = -5 + 6. Which is the nearest to 2? (a) r (b) h (c) -1 a Suppose -3*y + 6 = -z, -z - 2*z = -2*y - 3. L
{ "pile_set_name": "DM Mathematics" }
nd t? 17 Let g be (-4)/2 - 1*10. Let u be (1*9)/(g/(-72)). Calculate the highest common divisor of 6 and u. 6 Let f be ((-34)/8)/(55/(-440)). Calculate the greatest common divisor of f and 374. 34 Suppose v + 5*i = 3*i - 272, v = -3*i - 271. Let p be 36/(-306) - v/17. What is the highest common divisor of 40 and p? 8 Suppose -4*n + 168 + 72 = 0. Suppose -5*u + 3*w = -62, 2*w + 32 = 2*u - w. What is the greatest common divisor of u and n? 10 Let s = -20 + 72. What is the greatest common divisor of s and 468? 52 Let y(g) = -2*g**2 - 9*g. Let b be y(-8). Let j = -32 - b. What is the highest common factor of 120 and j? 24 Suppose 24*q = -5*d + 25*q + 3311, d - 643 = 5*q. Calculate the greatest common factor of 39 and d. 39 Suppose 64*u - 59*u - 65 = 0. Suppose u*m - 10*m - 54 = 0. What is the greatest common divisor of m and 72? 18 Suppose 532*g = 539*g - 4123. What is the highest common divisor of g and 31? 31 Suppose 3*z + 6 = 0, 212*h - 1561 = 209*h + 5*z. Calculate the greatest common factor of 44 and h. 11 Let v be (-20)/16*(2 - 6). Let u = v - 4. Suppose -o = -u - 11. What is the highest common factor of o and 12? 12 Suppose -1661*f = -1652*f - 99. What is the greatest common divisor of 19 and f? 1 Let o = 31 - 30. Let g be ((-45)/6)/(o/(-6)). What is the highest common factor of 9 and g? 9 Let s(b) be the second derivative of -b**5/10 - 5*b**4/12 - 5*b**3/6 - b**2 - 16*b. Let k be s(-2). What is the highest common divisor of k and 3? 1 Let m(i) = 3*i**2 - 39*i + 133. Let j be m(4). Calculate the highest common factor of 175 and j. 25 Suppose -177 = 6*t - 207. What is the greatest common divisor of 1 and t? 1 Let y = -3 - -2. Let u be 1 + (-2 - -5 - (y + 0)). What is the greatest common factor of 2 and u? 1 Let s(b) = b**2 - 10*b + 3. Let d be s(28). What is the greatest common divisor of 39 and d? 39 Suppose -8*y - 78 = -14*y. What is the greatest common divisor of 793 and y? 13 Let d = 91 - 86. Calculate the highest common factor of 155 and d. 5 Suppose 101 + 79 = 3*p. What is the greatest common factor of 40 and p? 20 Let t(a) = 37*a + 108. Let y be t(11). Calculate the highest common factor of y and 25. 5 Let a(q) = 11*q**2 + 2*q + 2. Let h = 18 + -20. Let l be a(h). Calculate the greatest common divisor of 28 and l. 14 Let i be 1290/27 - (-30)/135. What is the highest common factor of i and 12? 12 Suppose 19 = d - 5*s + 2*s, -3 = -s. Calculate the highest common divisor of d and 8. 4 Suppose 10*t - 13*t = -528. Suppose 15*z - 11*z = t. Calculate the highest common divisor of z and 308. 44 Suppose -4*m + 0 = 16. Let b be 0 - 16/m - -3. Let q be 1/3*(20 + 1). What is the highest common divisor of b and q? 7 Let c(y) = -y**2. Let n(m) = -2*m**2 + 8*m - 11. Let x(b) = -3*c(b) + n(b). Let f be x(-10). Calculate the greatest common divisor of 81 and f. 9 Suppose -3*a - 20 = -8*a + 3*y, -2*y - 20 = -5*a. What is the greatest common divisor of a and 98? 2 Suppose 0 = -21*i + 22*i - 2. Suppose -i*o + 15 = -2*z - 7, 0 = 2*o + 5*z - 50. What is the greatest common divisor of 75 and o? 15 Let y = -283 + 307. Calculate the greatest common divisor of 116 and y. 4 Let v be ((-28)/35*116)/(10/(-25)). Calculate the greatest common divisor of 261 and v. 29 Let z = -232 - -233. Calculate the greatest common divisor of 7 and z. 1 Suppose 3*q - 38 = 2*c, 0 = q - 3*c + 4*c - 11. Let v be (-2 + -2)*(-87)/q. Calculate the highest common divisor of v and 145. 29 Let l = 238 + -62. Suppose -139 = -7*u - 27. What is the highest common factor of l and u? 16 Suppose -7 = -12*a + 17. What is the greatest common divisor of a and 70? 2 Let g = 339 - 255. Let o(f) = f**3 + 4*f**2 + 6*f + 7. Let w be o(-5). Let i = g + w. Calculate the highest common divisor of 4 and i. 4 Suppose -8*x + 1410 = 2*x. Suppose -5*q = -3*q - 94. Calculate the greatest common divisor of x and q. 47 Suppose -5*k = -12 + 2, -3*k - 210 = -3*f. Calculate the highest common factor of 45 and f. 9 Let w = 2 - -16. Suppose a = -5*i + 3, 2*a + w = 2*i - 12. Let m = a - -22. Calculate the greatest common factor of m and 30. 10 Suppose 0 = 10*q - 11*q + 11. Let n = 2 + q. Calculate the highest common factor of 91 and n. 13 Suppose 9*a = 685 - 190. Let s = 115 - a. Calculate the highest common divisor of s and 15. 15 Let j be 0 - (1 + -8 + 3). Let n be 46 - j - (3 + 0). Let k be 3/(-12) - 735/(-28). Calculate the highest common factor of k and n. 13 Let h be (-4)/(-1) + 0 + 1. Let l(z) = -z - h*z - z + 3*z. Let i be l(-2). What is the greatest common divisor of i and 8? 8 Let f(b) = -b**2 - 4*b + 2. Let l be f(-4). Let w = 5 - l. Suppose -15 - 7 = -4*u + 2*o, -2*o + w = u. What is the highest common divisor of u and 25? 5 Let d = -46 + 78. Let m = -11 + d. Let x = -19 + m. What is the greatest common divisor of 3 and x? 1 Suppose 0 = -y - 4*y + 195. Let u(m) be the first derivative of -9*m**2/2 - m + 1. Let w be u(-3). Calculate the highest common factor of y and w. 13 Suppose 3*d = 26 + 28. Let o be (d + -2)/(1 - 93/99). What is the greatest common factor of 24 and o? 24 Suppose 5*r - 30 = 2*t, 0*r - r - 3*t = -6. Calculate the highest common factor of r and 162. 6 Suppose -13*z - 10*z + 276 = 0. Calculate the highest common factor of z and 576. 12 Let q(w) = w**3 - w**2 + w + 14. Let t be q(0). Suppose 4*p + 2*b - 15 - 17 = 0, -5*b = -p - t. Calculate the highest common divisor of p and 18. 6 Suppose 9*s - 4*s = -5*t + 45, -2*t = -4*s + 6. Let d(x) = x**3 - 4*x**2 - 2*x + 9. Let n be d(s). Calculate the highest common factor of n and 1. 1 Let v = -26 - -28. Suppose -5*y + 70 = -v*i, -3*y - 14 = -4*y - i. Calculate the highest common divisor of y and 98. 14 Suppose -6*n + j + 148 = -5*n, 5*j - 460 = -3*n. What is the highest common divisor of n and 75? 75 Let b be 1187/12 + -10*18/(-2160). Let v(k) = 10*k**2 - 2*k + 1. Suppose 2*i = -2 + 4. Let o be v(i). Calculate the highest common divisor of o and b. 9 Suppose 5*h - 3*p = -62 + 256, 4*p = 8. Suppose -m = -4*m + 48. What is the highest common divisor of m and h? 8 Let o = -22 + 52. Suppose d + 0*d + q = 40, -d + q = -o. Calculate the highest common divisor of 7 and d. 7 Suppose 336 = 3*s + 60. Let u = 22 - 26. Let r(w) = -7*w - 5. Let v be r(u). What is the greatest common factor of v and s? 23 Suppose 21*v - 18*v - 3*n - 1359 = 0, 4*v - 1810 = 3*n. Calculate the greatest common divisor of 41 and v. 41 Suppose 36 - 28 = 4*z. Suppose -5*j = -z*u - 590, 4*u - 1 - 19 = 0. Calculate the highest common divisor of 48 and j. 24 Let t(o) = 23*o + 985. Let s be t(-21). What is the highest common factor of s and 2? 2 Let p be (-2 + 1 + -1)/(36 + -38). What is the highest common divisor of 31 and p? 1 Let w(t) = 68*t + 183. Let r be w(12). What is the highest common divisor of r and 27? 27 Let k be (-42)/28*(-15 + 1). Let b = k + -18. Let n be 34/b - (-24)/36. What is the highest common divisor of 108 and n? 12 Suppose 61*v = 37*v + 2184. Calculate the highest common divisor of 104 and v. 13 Suppose -14*j = -22*j + 1664. Calculate the greatest common divisor of j and 130. 26 Suppose 4*a = -4*q + 176, 0*a + 2*q = -a + 43. Let p = a + -25. Let g be ((-12)/(-30))/(2/20). Calculate the greatest common factor of g and p. 4 Let w(v) = 3*v**2 - 3*v + 2. Let m be w(1). Let a be (-7)/(2/(-6 + m)). Calculate the highest common factor of a and 14. 14 Let i = 87 + -86. Let y be i*((-24)/(-10))/(36/120). What is the highest common factor of y and 152? 8 Let z = -2007 - -2012. What is the highest common factor of z and 525? 5 Let t(b) = 69*b - 1488. Let k be t(22). Suppose 3*n = n + 150. Calculate the highest common factor of k and n. 15 Suppose -235 + 559 = -4*v. Let f be v/(-5) - 6*(-3)/(-90). What is the greatest common factor of 24 and f? 8 Suppose 7*k - 2153 - 493 = 0. What is the greatest common factor of k and 84? 42 Suppose -3*g - 22 = -n, 2*g = n - 3*g - 32. Suppose 4*k + 3 = n*k. Let l be 9 + (-1)/(2/4). What is the highest common factor of l and k? 1 Suppose 1456 = 3*l - 2*h - 128, l + 3*h = 539. Calculate the greatest common divisor of l and 10. 10 Let s(o) = -o**3 + o**2 - 2*o + 24. Let y be s(-7). Calculate the highest common divisor of 10 and y. 10 Suppose -4*z + 7 = 3*k, 0 = -k - 2*k - 5*z + 5. Calculate the highest common divisor of 135 and k. 5 Let k be
{ "pile_set_name": "DM Mathematics" }
ppose 53*b - 57*b + 2*u + 620 = 0, -b = -2*u - 161. What is the remainder when 747 is divided by b? 135 Let c = -248 - -422. What is the remainder when (1 - (-4)/(-6))/(2/c) is divided by -1 + 7 + 2/1? 5 Suppose 0 = 146*o - 1549 - 2023 - 516. What is the remainder when 189 is divided by o? 21 Let f = 969 + -846. Calculate the remainder when f is divided by 31. 30 Let i = -40 + 59. Suppose -14*a + i*a = 0. Suppose a = -2*p + 5*p - 3*x - 69, -3*p = 5*x - 45. What is the remainder when p is divided by 12? 8 Suppose -76 - 1206 = -56*w + 510. What is the remainder when 894 is divided by w? 30 Suppose -2*w - 201 = -3*w. Suppose 9*j = 669 - w. Calculate the remainder when 101 is divided by j. 49 Suppose -139 = -5*z - 44. Suppose -5*b = k - 86, -5*k + 3 = b - z. What is the remainder when (-6*9/3)/((-123)/328) is divided by b? 14 Suppose -2*i = 3*i - 30. Suppose -1229 = -i*z + 901. Suppose -2*d - 91 = -z. What is the remainder when d is divided by 45? 42 What is the remainder when 117 is divided by (1 - 3)/(-6) + 606/18? 15 Let c(t) = 21*t**2 + 3739*t + 7473. Suppose 0 = 2*n - 18 - 74. What is the remainder when c(-2) is divided by n? 33 Let d = -31 - -48. What is the remainder when (-504032)/(-4974) - (-20)/(-6) is divided by d? 13 Suppose -a + 95 = 3*r, 0 + 4 = -a. Let j = r + -13. Suppose -j*i + 16*i = -132. Calculate the remainder when i is divided by 7. 5 Let y = 1706 + -1457. Calculate the remainder when y is divided by 79. 12 Suppose 8*z = -0*z + 120. Suppose -325 = -z*p + 140. What is the remainder when 60 is divided by p? 29 Let x = 3022 + 1134. What is the remainder when x is divided by 11? 9 Let c = -11 - -33. Suppose -74*o = -61*o - 4732. Let s = -357 + o. Calculate the remainder when c is divided by s. 1 Let d(i) = -i**2 - 10*i + 2. Let w = -7 + 2. Calculate the remainder when ((-14)/(-5))/(-7) + (-652)/w is divided by d(-9). 9 Let w(l) = 4*l**2 - 15*l + 704. What is the remainder when w(21) is divided by 1072? 9 Let k(m) = m - 3 - 1 - 9*m. Let y(b) = -115*b - 455. Calculate the remainder when k(-4) is divided by y(-4). 3 Let w(l) = 1715*l + 15478. Calculate the remainder when 20122 is divided by w(-9). 41 Suppose 2*i + v = 6*i - 69, -5*i - 2*v = -83. Let o be 36 - (-6 + 14 + -3 + -3). Suppose o*l - 11*l - 1518 = 0. What is the remainder when l is divided by i? 15 Suppose 15*n = 71*n - 196616. Calculate the remainder when n is divided by 14. 11 Suppose -20*s = -19*s - 3. Suppose -4*t - s*r = -173, 4*r - 2 - 10 = 0. Suppose 36*n = t*n - 110. Calculate the remainder when n is divided by 5. 2 Suppose -3*t + 162 = 5*g, -g - 132 = -5*g - 3*t. What is the remainder when -50*((-472)/(-40) - 13) - 4 is divided by g? 26 Suppose 1200 = -16*f - 4*f. What is the remainder when 357 is divided by 10/(-2) + 40/(-25)*f? 84 Suppose 90 = -126*q + 136*q. Calculate the remainder when 44 is divided by q. 8 Suppose 128 = 2*t + 2*r - 104, -t + 120 = 3*r. Calculate the remainder when t is divided by 28. 2 Let g = 15498 + -15386. Calculate the remainder when 1692 is divided by g. 12 Let z = 1002 - 486. Let n = 529 - z. What is the remainder when 115 is divided by n? 11 Calculate the remainder when 28/((-84)/(-91671)) - 9/1 is divided by 114. 110 Suppose -3045 = -5*o + 5*v, -v - 4*v = 3*o - 1827. What is the remainder when o is divided by 37? 17 Let a(o) = 6*o + 62. Let f be a(8). Suppose 0 = -104*v + f*v - 354. Calculate the remainder when v is divided by 6*(0 + 40/12). 19 Suppose -3*l + 2*c = -77 - 11, 3*c = -4*l + 123. What is the remainder when (-4)/(-14) + 2924/7 is divided by l? 28 Let l be (127 + (10 - 3))*1/(-2). Let v be ((-8)/(-6))/2*-21. Let k = v - l. Calculate the remainder when k is divided by 9. 8 Suppose -3*c = -3*t + 3603, 0 = t + 2*c - 4*c - 1202. Suppose -20*o + 4*o = -t. Calculate the remainder when o is divided by 26. 23 Let g be -3 + 2 + 9 + (-1 - -3). Suppose y = 2, 5*f - y = 2*y + 14. What is the remainder when (-6*9/(-54))/(2/g) is divided by f? 1 Suppose 315 = 1193*w - 1172*w. Suppose 2*z - 5*z = -162. Calculate the remainder when z is divided by w. 9 Let v(f) = -f**3 - 8*f**2 - 9*f - 5. Suppose -56 = -0*b + 2*b. Let m = b - -53. Calculate the remainder when m is divided by v(-7). 7 Suppose 22*p - 51 = 5*p. What is the remainder when 1537/p - (2 + (-40)/15) is divided by 43? 40 What is the remainder when 1463 is divided by (-24)/(-108)*27 - 1? 3 Suppose 2*t + a + 11 = 0, -5*t - 2*a - 23 = -4*a. What is the remainder when 3/((-3)/t) + 213 is divided by 10? 8 Calculate the remainder when (-1618)/(-6) - 82/123 is divided by 77. 38 Let v(p) = -p - 15*p**2 + 1 - 4*p + 17*p**2 + 1069*p**3 + 6*p - 4*p. Calculate the remainder when v(1) is divided by 16. 13 Let u = -11 - -7. Let v(h) = -916*h**2 + 3*h + 6 - 910*h**2 - h**3 + 1823*h**2. What is the remainder when v(u) is divided by 6? 4 Let y = 31175 + -29978. What is the remainder when y is divided by 254? 181 What is the remainder when 424 is divided by (13/((-234)/891) + -6)*(-20)/6? 54 Suppose 62*g = 1281 + 455. What is the remainder when 329 is divided by g? 21 Suppose 10*z = 17*z + 28. Let f(s) = s**2 - 6*s - 12. What is the remainder when 160 is divided by f(z)? 20 Let n(f) = 15*f**2 + f + 1. Let a be n(-1). Suppose 64*y - 63*y - 23 = 5*h, -2*y - h - 9 = 0. Let q = a - y. Calculate the remainder when q is divided by 6. 5 Let c(x) = 21*x + 517. Let q(o) = -13*o - 345. Let g(k) = -5*c(k) - 8*q(k). What is the remainder when g(34) is divided by 40? 21 Suppose 1140 = 157*c - 100*c. Calculate the remainder when 2657 is divided by c. 17 Suppose -11*h = 14*h - 14*h - 110. Let m = -1079 - -1667. Calculate the remainder when m is divided by h. 8 Suppose 58 = 4*v - 2*j, -2*v - 5*j + j + 44 = 0. Let x be -1*249*4*(-4)/v. Suppose 3*c = x + 150. What is the remainder when c is divided by 34? 31 Suppose -4*k = -223 - 296 + 323. What is the remainder when 54 is divided by k? 5 Suppose -140*g = -78514 + 21394. Calculate the remainder when 475 is divided by g. 67 Let g = -464 - -468. Suppose r + 153 = -0*b + 4*b, 94 = 2*b - g*r. What is the remainder when 479 is divided by b? 35 Let h(q) = -25 - 2*q + 20*q**2 + 25*q**2 - 44*q**2. What is the remainder when h(-9) is divided by 21? 11 Suppose 4*b - 162 = 5*p + 65, 271 = 5*b - 2*p. What is the remainder when 311 is divided by b? 46 Let m be -7 + 12 - 7 - 12. Suppose -6*o + 2*o = -380. What is the remainder when o is divided by (m/(-42))/(1/42)? 11 Suppose f - 120 = -v + 53, 0 = -4*f - 8*v + 688. What is the remainder when f is divided by 77? 20 Let p(f) = 13*f**2 - 196*f + 25. Calculate the remainder when p(17) is divided by 57. 51 Let r be (8/(-10))/(20/(-50)). Let s be 45/30 + 19/r. Let l(w) = 6*w - 17. What is the remainder when l(s) is divided by 17? 15 Suppose w = -0*w - 466 + 1037. What is the remainder when w is divided by 48? 43 Suppose 24*o - 783 = 15*o. Let d = o + -52. Calculate the remainder when 111 is divided by 10/d - (-201)/7. 24 Suppose 5*s - 24*q + 20*q = 147, -4*s + 5*q = -123. Let j(v) = -13*v + 12. What is the remainder when j(-7) is divided by s? 22 Let a(q) = 12*q**2 + 395*q + 48. Calculate the remainder when a(-34) is divided by 267. 223 Let w(y) = 491*y**3 + 4*y**2 + 7*y - 12. Calculate the remainder when w(1) is divided by 29. 26 Let o = 30642 - 25650. What is the remainder when o is divided by 277? 6 Let v = -1252 - -1844. Suppose -3*m = 13*m - v. What is the remainder when 72 is divided by m? 35 Suppose 4625 = 12*d - 823. Calculate the remainder when d is divided by 58. 48 Suppose -a + 17 = -0. Suppose -19*z + 37555 = 166*z. What is the remainder when z is divided by a? 16 Let r(s) = s**3 + 10*s**2 - 12*s + 7. Let c be r(-10). Let i = c + 51. Suppose 4*k - 6*k + i = 0. Calculate the remainder when k is divided by 15. 14 Suppose 0 = -2*u - h - h - 40, 2*u + h = -41. Let k(j) = -j**3 - 22*j**2 - 28*j - 30. Calculate the remainder when k(u) is divided by 17. 15 Let m(y) be the first derivative of 5*y**2 - 48*y + 26. Suppose -3*l = -24 - 150. What is the remainder when l is divided by m(6)? 10 Let q(t) = 2*t**3 - 59*t**2 + 256*t + 107. Calculate the remainder when q(27) is divided by 135. 134 Suppose 7*h - 5*h = 4*y - 500, -3*y + 3*h = -378. What is the remainder when y is divided by (34/(-17))/((-2)/26)? 20 Let s(d) = -15*d - 18.
{ "pile_set_name": "DM Mathematics" }
1, 2 Let d(g) be the first derivative of 5*g**3/3 - g + 7. Let n be d(-1). Factor -20*f**5 - 8*f**2 - f**4 + 4*f + 16*f**5 + 9*f**n. -4*f*(f - 1)**3*(f + 1) Factor -4/3*n + 0 + 10/3*n**2 + 2/3*n**5 - 2*n**3 - 2/3*n**4. 2*n*(n - 1)**3*(n + 2)/3 Let z(y) be the second derivative of 2*y**7/21 + 2*y**6/15 - 9*y**5/5 - 3*y**4 + 21*y. Factor z(i). 4*i**2*(i - 3)*(i + 1)*(i + 3) Let k(j) be the first derivative of -j**4/14 + 2*j**3/7 + 9*j**2/7 + 10*j/7 + 32. What is f in k(f) = 0? -1, 5 Let n be (-24)/8 - -5*1. Let o(r) be the second derivative of -1/33*r**4 + 0*r**5 + 1/165*r**6 + 0*r**3 + 0 + 1/11*r**n + r. Factor o(u). 2*(u - 1)**2*(u + 1)**2/11 Find v such that 2/11*v**5 - 36/11*v**4 + 0*v + 0 + 0*v**2 + 162/11*v**3 = 0. 0, 9 Let c(a) = 5*a**3 + 18*a**2 + 9*a - 30. Let u(p) = -20*p**3 - 71*p**2 - 38*p + 120. Let r(x) = -9*c(x) - 2*u(x). Determine l, given that r(l) = 0. -3, -2, 1 Let a(t) be the third derivative of t**6/30 - t**5/15 - t**4/3 + 16*t**2. Factor a(r). 4*r*(r - 2)*(r + 1) Let k(z) be the third derivative of -5*z**7/357 + 4*z**6/51 + 67*z**5/170 + 29*z**4/51 + 20*z**3/51 + 41*z**2 - 2. Suppose k(i) = 0. What is i? -1, -2/5, 5 Let j be (-2)/4*498/(-360). Let l = -1/40 + j. Determine k, given that -l*k - 4/3 + 2/3*k**2 = 0. -1, 2 Let r(u) be the third derivative of u**9/151200 - u**7/4200 + u**6/900 + 2*u**5/5 + 20*u**2. Let l(k) be the third derivative of r(k). Factor l(v). 2*(v - 1)**2*(v + 2)/5 Let p(u) be the second derivative of 13*u + 1/28*u**4 + 0 - 3/14*u**2 + 0*u**3. Factor p(h). 3*(h - 1)*(h + 1)/7 Suppose 5*r + 3*d - 28 = 0, 7 - 3 = -r + d. Let 5*g**4 - 95/4*g**3 - 25/4*g + 115/4*g**r - 15/4 = 0. Calculate g. -1/4, 1, 3 Suppose -4*o - v = -15, 22*v - 27 = 4*o + 17*v. Let 0 - x + 1/3*x**o = 0. Calculate x. 0, 3 Let g(w) be the second derivative of 0*w**2 + 0 + 1/20*w**5 + 1/6*w**4 + 21*w + 0*w**3. Solve g(o) = 0. -2, 0 Let y(q) = -q**3 - 6*q**2 + 5*q - 10. Let i be y(-7). Suppose 0 = i*d + d. Factor 8*c**3 - 10*c**3 - 2*c**4 + d*c**4. -2*c**3*(c + 1) Let n(a) be the first derivative of a**4/22 + 2*a**3/3 + 19*a**2/11 + 18*a/11 - 56. Factor n(i). 2*(i + 1)**2*(i + 9)/11 Let z(v) be the second derivative of 0*v**3 - 1/100*v**5 - 8*v + 1/40*v**4 + 0 + 2*v**2. Let q(h) be the first derivative of z(h). Factor q(f). -3*f*(f - 1)/5 Let n(y) = 36*y + 6*y**2 - 1 + 4*y**2 - 26*y - 24. Let q(t) = 7*t**2 + 7*t - 17. Let z(u) = 5*n(u) - 7*q(u). Factor z(r). (r - 2)*(r + 3) Let k(v) be the first derivative of 2*v**3/9 - 2*v**2 - 32*v/3 + 65. Factor k(d). 2*(d - 8)*(d + 2)/3 Let -6 + 125*r**3 + 64*r**2 + 35*r + 70 + 205*r + 236*r**2 = 0. What is r? -4/5 Let l(n) be the second derivative of -1/32*n**4 - 1/32*n**5 - 1/120*n**6 + 0*n**2 - 2/3*n**3 + 0 + 5*n. Let b(m) be the second derivative of l(m). Factor b(i). -3*(i + 1)*(4*i + 1)/4 Let a(r) be the third derivative of 0*r**3 + 0*r + 19*r**2 + 0*r**4 - 1/80*r**5 - 1/560*r**7 + 3/320*r**6 + 0. Solve a(x) = 0 for x. 0, 1, 2 Factor -16*o**2 + 448*o + 41*o**2 + 266*o - 16*o**2 - 12*o**2 - 42483. -3*(o - 119)**2 Let a(z) be the third derivative of 1/1050*z**7 + 1/600*z**6 + 0 + 0*z - 1/15*z**3 - 1/24*z**4 + 21*z**2 - 1/100*z**5. Let a(w) = 0. What is w? -1, 2 Let c(j) be the second derivative of j**6/6 - 2*j**5 - 25*j**4/2 - 80*j**3/3 - 55*j**2/2 - j + 14. What is n in c(n) = 0? -1, 11 Let a(x) be the second derivative of -x**6/90 + x**5/15 + x**4/18 - 2*x**3/3 - 57*x**2/2 - x + 1. Let b(d) be the first derivative of a(d). Factor b(n). -4*(n - 3)*(n - 1)*(n + 1)/3 Let r(o) be the first derivative of 9*o**4/28 - 23*o**3/7 + 60*o**2/7 + 48*o/7 - 166. Find s, given that r(s) = 0. -1/3, 4 Let y = 76 + -74. Factor -4*t**3 - 25 + y*t**2 + 27 + 2*t**5 - 6*t**2 + 2*t + 2*t**4. 2*(t - 1)**2*(t + 1)**3 Let h(c) = -3*c**4 + 15*c**3 + 39*c**2 + 21*c - 7. Let f(l) = 3*l**4 - 15*l**3 - 39*l**2 - 21*l + 6. Let w(p) = 7*f(p) + 6*h(p). Solve w(d) = 0. -1, 0, 7 Let r(z) be the second derivative of -z**7/280 - z**6/60 + z**5/40 + z**4/4 - 35*z**3/6 + 33*z. Let a(x) be the second derivative of r(x). Solve a(h) = 0. -2, -1, 1 Let a(m) = -5*m**3 + 11*m**2 + 2. Let t(y) = 4*y**3 - y**2 - 1. Let h(n) = -a(n) - 2*t(n). Factor h(q). -3*q**2*(q + 3) Let o = 32/3 - 21/2. Suppose 8*y + 32/3 + o*y**3 + 2*y**2 = 0. Calculate y. -4 Let d(x) = -16*x**4 - 8*x**3 - 4*x**2 + 4. Let n(g) = g**5 - 2*g**4 - g**3 - g**2 + 1. Let y(i) = -d(i) + 4*n(i). Let y(s) = 0. Calculate s. -1, 0 Factor -k**2 - 1/3 + 1/3*k**3 + k. (k - 1)**3/3 Let u(m) be the third derivative of 2*m**7/105 - 4*m**6/15 - 8*m**5/5 + 16*m**4/3 + 160*m**3/3 - 22*m**2. Suppose u(j) = 0. What is j? -2, 2, 10 Let o(d) be the first derivative of -14/45*d**3 + 9 + 8/15*d**2 + 8/15*d - 1/6*d**4. Let o(v) = 0. Calculate v. -2, -2/5, 1 Let k(w) be the second derivative of w**6/135 - w**5/45 + w**4/54 - w - 62. Factor k(a). 2*a**2*(a - 1)**2/9 Let a = 104 - 144. Let x = a - -43. Factor 0 + 0*r + 1/5*r**2 - 1/5*r**x + 1/5*r**5 - 1/5*r**4. r**2*(r - 1)**2*(r + 1)/5 Let q(p) be the second derivative of -7/1620*p**6 + 1/27*p**4 - 2/3*p**3 + 0*p**2 + 0 + 1/45*p**5 - 2*p. Let v(n) be the second derivative of q(n). Factor v(k). -2*(k - 2)*(7*k + 2)/9 Let c(n) be the third derivative of -n**6/165 + n**5/330 - 55*n**2. Let c(d) = 0. What is d? 0, 1/4 Factor -180*a - 68 + 36*a**3 + 164*a**4 - 53*a**4 - 52*a**4 - 55*a**4 + 52*a**2 - 132. 4*(a - 2)*(a + 1)*(a + 5)**2 Let w(x) be the first derivative of 6*x + 0*x**2 + 3 - 1/15*x**3 - 1/50*x**5 + 1/15*x**4. Let k(v) be the first derivative of w(v). Factor k(a). -2*a*(a - 1)**2/5 Let x(h) be the second derivative of -7*h**6/60 + h**5/20 + 91*h**4/24 + 29*h**3/6 - 6*h**2 - h - 126. Find l, given that x(l) = 0. -3, -1, 2/7, 4 Let -6*a**5 + 2*a**5 + 34*a - 34*a + 459*a**4 + a**5 = 0. Calculate a. 0, 153 Let q = 398 - 1178/3. Factor q + 0*w - 4/3*w**2. -4*(w - 2)*(w + 2)/3 Determine p so that -108*p**3 + 134*p**4 - 22*p**4 + 3193*p - 1599*p + 16 - 236*p**2 - 1594*p = 0. -1, -2/7, 1/4, 2 Let v(w) be the first derivative of -w**3/4 - w**2 - w - 12. Solve v(y) = 0. -2, -2/3 Let m = -2507/13 - -193. Let z be (1*(-2 + 4))/(22 - 9). Let -m*s**2 - 4/13*s - z = 0. Calculate s. -1 Let d = -20 + 20. Determine a, given that d*a + 2*a**2 - 4 + 4*a - 7*a + a = 0. -1, 2 Let z(b) be the second derivative of 0*b**3 - 1/18*b**4 - 1/45*b**6 + 1/15*b**5 + 0 - 6*b + 0*b**2. Find k such that z(k) = 0. 0, 1 Suppose -2/9*k**3 + 0*k + 2/9*k**5 + 0 + 2*k**4 - 2*k**2 = 0. What is k? -9, -1, 0, 1 Suppose 19153*f = 19152*f + 2. Factor -86/19*b + 10/19*b**f - 36/19. 2*(b - 9)*(5*b + 2)/19 Solve 2/3*u**4 + 0 - 17/3*u**2 - 7/6*u - 23/6*u**3 = 0 for u. -1, -1/4, 0, 7 Let m(s) be the second derivative of 0*s**2 - 1/3*s**3 + 1/80*s**5 + 6*s - 7/48*s**4 - 2. Factor m(a). a*(a - 8)*(a + 1)/4 Let r = 35 + -21. Suppose 0 = -3*f - 5*l + 11, -5*l + l + r = 5*f. Determine n, given that 0*n - n - 4 + 6*n**3 - 4*n**4 - 5*n + 8*n**f = 0. -1, -1/2, 1, 2 Let z(m) = -5*m**4 + 4*m**3 + 6*m**2 - 4*m - 1. Suppose 3 = -3*f - 9. Let x(t) = -4*t**4 + 3*t**3 + 5*t**2 - 3*t - 1. Let g(s) = f*x(s) + 3*z(s). Factor g(i). (i - 1)**2*(i + 1)**2 Suppose 0 = -3*x + 5*j + 9, x - 1 - 2 = 5*j. Factor -x*h**4 - 5*h**3 - 10*h**2 + 2*h**4 + 6*h**4. 5*h**2*(h - 2)*(h + 1) Let t(b) = b**3 + 17*b**2 + 31*b + 17. Let m be t(-15). Let q(w) be the first derivative of 4/5*w**m - 5 - 8/5*w**3 - 7/10*w**4 + 0*w. Factor q(u). -2*u*(u + 2)*(7*u - 2)/5 Let x be (3 - 315/(-20))/(22/256). Let l = x - 218. Let -4/11*v**2 - l*v**3 + 0 + 0*v = 0. Calculate v. -2, 0 Let l(y) be the first derivative of -y**3/6 - 7*y**2/4 + 4*y - 22. Let l(r) = 0. What is r? -8, 1 Factor -222/5*l + 44 + 2/5*l**2. 2*(l - 110)*(l - 1)/5 Solve 0 + 3/8*b**3 + 3/8*b**2 + 0*b = 0. -1, 0 Solve -34*c**2 + 16*c + 10*c**2 + 8*c**2 + 13*c**2 + 59*c = 0 for c. 0, 25 Suppose 2*w = 6, 2*d = 2*w + 6 + 24. Suppose -3*j = 2*j - y - 14, j - 4*y - d = 0. Suppose -2/5*q**j - 2/5*q + 4/5 = 0. Calculate q. -2, 1 Let o(b) be the third derivative of b**7/105 - 13*b**6/60 + 238*b**2. Factor o(f). 2*f**3*(f - 13) Suppose -15 = -4*t - 18*x + 21*x, -5*t + 5*x + 25 = 0. Find u, given that -1/6*u**5 + t*u**4 - 1/6*u + 0 + 0*u**2 + 1/3*u**3 = 0. -1, 0, 1 Factor -4*t**2 + t**5 + t**4 - 1451*t**3 + 727*t**3 + 2*t**2 + 1 + t + 722*t**3. (t - 1)**2*(t + 1)**3 Suppose 1080 = 14*
{ "pile_set_name": "DM Mathematics" }
test common factor of i and j? 27 Let h = 15 + -41. Let y be (-273)/h*(-2)/(-3). Calculate the greatest common divisor of y and 77. 7 Suppose 1236 = -2*z + 4*x, -x - 1845 = 3*z + 2*x. Let r be z/(-63) + (-6)/(-27). What is the greatest common divisor of r and 90? 10 Let f(d) = d**2 + 12*d - 18. Let k be f(-14). What is the highest common divisor of 45 and k? 5 Let a(k) = -k + 25. Let v be a(19). Suppose -11 = -2*s - y + 10, -s - 2*y = -6. What is the greatest common divisor of v and s? 6 Let k = 3410 + -3314. Suppose 4*i - 56 = 4*c, 4*i + 2*c - 3 - 41 = 0. Calculate the greatest common divisor of k and i. 12 Let q(d) = d**3 + 18*d**2 + 16*d + 16. Let r(v) = v**3 + 21*v**2 + 19*v - 37. Let b be r(-20). Let k be q(b). Calculate the greatest common divisor of 44 and k. 11 Suppose 5*o - 19 = 26. Let t = 82 - 55. Calculate the highest common divisor of t and o. 9 Let t = 79 - 42. Let z = t + 26. Calculate the greatest common divisor of z and 21. 21 Suppose -3*b = -488 - 79. Calculate the highest common divisor of 108 and b. 27 Suppose 0 = 3*w + 6, -5*b + 185*w - 184*w + 102 = 0. Calculate the highest common factor of b and 335. 5 Suppose 5*u + k - 40 = 0, -3*u - 4*k + 3 = -4. Calculate the greatest common divisor of u and 6. 3 Let f(t) = 3*t**3 - 10*t**2 + 20*t - 16. Let m be f(4). Calculate the greatest common factor of 20 and m. 4 Suppose 30*w - 2508 = 19*w. What is the highest common factor of 57 and w? 57 Suppose d = 41 + 15. Suppose 4*u + 2*k = d, -3*k + 44 = 2*u + 2*k. What is the highest common divisor of u and 60? 12 Let h = 1962 + -1002. What is the greatest common divisor of 15 and h? 15 Let z(t) = 2*t**2 - 9*t - 5. Suppose -h = -2*h - 3. Let u be z(h). What is the highest common factor of u and 5? 5 Let s be (4 - 24/(-6))/1. What is the greatest common divisor of 22 and s? 2 Let x = -21 - -35. Let m = -91 - -97. Let t be 4/m + (-1504)/(-12). Calculate the highest common divisor of x and t. 14 Suppose 0 = -4*c + 8*c - 16. Let y be c/(2 - (-45)/(-25)). What is the highest common factor of y and 160? 20 Let w(x) = 277*x**2 - 9*x. Let t be w(-1). Calculate the greatest common factor of 52 and t. 26 Let k(y) be the third derivative of -y**4/12 - 5*y**3/2 + y**2. Let p be k(-11). Suppose 3*c - p = 2*c. What is the greatest common divisor of c and 1? 1 Let c be (-4)/(-8) + (-18)/(-4). Suppose 149 = 2*j - 5*m, j - c*j = -5*m - 293. What is the highest common divisor of 9 and j? 9 Suppose 0*k = -26*k + 1404. What is the greatest common divisor of 405 and k? 27 Suppose -3*q - 5*o + 4 = -0*q, -4*q + 3*o = -44. Suppose q = -r + 77. Calculate the highest common factor of 46 and r. 23 Suppose -4*o - 142 = -2*f, 2*f = -0*f - 2*o + 172. Let g = 16 - 7. Calculate the greatest common factor of g and f. 9 Let n(d) = -d + 12. Let t be n(6). Let p = t + 44. Let o(z) = z**2 + 6*z + 4. Let k be o(-8). Calculate the highest common factor of k and p. 10 Suppose -3*g - 555 = -3*z, 236 = 3*z + g - 327. Calculate the greatest common factor of 17 and z. 17 Let a(f) = -7 + 2*f**2 + 1 - 11*f + 0 - 11. Let y be a(7). Let h be (-4)/8*(y - 92). What is the greatest common divisor of 110 and h? 22 Let g be (-2)/(12/(-15))*-2 - -117. What is the greatest common divisor of 64 and g? 16 Let l = 698 - 671. Calculate the greatest common factor of l and 315. 9 Suppose 0 = -4*k + 24 + 28. Suppose c - 2*s = 4 + 5, -5*c - 5*s = -75. What is the greatest common divisor of c and k? 13 Let s be (23*-1)/(-9 + (-385)/(-44)). Calculate the highest common factor of 253 and s. 23 Suppose s - 2*s + 20 = 0. Let b = 38 - s. Calculate the highest common divisor of 45 and b. 9 Let n = 12 - 8. Suppose d - 5*x = 45, -4*x = n + 8. Calculate the greatest common divisor of 240 and d. 30 Let x(a) = -a**3 + a**2 + 105. Suppose -6 = 4*p - 6. Let w be x(p). Suppose 3*y = q + 47, -3*y + 6*q = 3*q - 51. What is the highest common factor of y and w? 15 Suppose -h - 9 = -29. Suppose -h = d - 5*d. Suppose -3*o - 2*t + 21 = -2*o, -15 = -d*t. Calculate the highest common factor of 60 and o. 15 Suppose 15 = 6*j - 3. Suppose -j*d = -2*f + 5*f - 84, -3*d = 6. Calculate the greatest common divisor of 90 and f. 30 Let d(b) be the first derivative of 4 + 1/3*b**3 + 0*b**2 - b. Let g be d(2). What is the greatest common divisor of 9 and g? 3 Let i be 1/(1/(-2))*-2. Suppose i*g - 2 = m, -3*m - 2*g + 35 + 1 = 0. Let d be 92/6 - (0 + 4/12). Calculate the highest common factor of m and d. 5 Suppose -2*f - 5*n = -2*n - 1531, -n = -3*f + 2313. Calculate the greatest common factor of f and 44. 22 Suppose -426 = -14*a - 146. What is the greatest common factor of a and 40? 20 Suppose 2 = -2*q - 4*u, 5*q - 4*u = 24 - 1. Let y = 2 + q. Let k be 21 + (3 - (-4 - -3)). What is the highest common factor of k and y? 5 Let o be -10*-3*(-1)/(-5). Suppose 0 = -0*f + 2*f - o. Suppose 38 = 4*u - f*k - 67, -4*k = 12. What is the greatest common divisor of u and 36? 12 Let x be -1*16/(4 + -8). Suppose -5*n + 10*n = 4*w - x, -n - 1 = -w. Suppose -2*z + n*z + 22 = 0. Calculate the highest common factor of 55 and z. 11 Let m be 44/8 - (-4)/(16/2). Calculate the highest common factor of m and 6. 6 Let l = 90 - 85. Calculate the greatest common factor of l and 60. 5 Let u be ((-12)/(-15))/(1/60). Let d = 54 + -23. Suppose 4*f + d - 3 = 4*l, 5*l = -5*f + 25. What is the greatest common divisor of l and u? 6 Suppose 25*p - 720 = p. Let b be -6 + (-104)/(-18) + 812/9. Calculate the greatest common divisor of b and p. 30 Suppose 4*n - 172 = -5*z, 3*n - 3*z - 204 = -n. Suppose 0 = 2*s - 2*t - 20, -4*t + 9 = -3*s + 37. What is the greatest common factor of n and s? 12 Let n(o) = 2*o + 6. Let x be n(5). Calculate the highest common factor of 16 and x. 16 Let u be (-15)/(-105) + ((-1341)/(-21) - 1). Calculate the highest common factor of u and 882. 63 Suppose -4*x - 12 = 0, -4*g + 30 = -5*x - 41. Calculate the highest common divisor of g and 602. 14 Suppose 5*y + 145 = 5*x, -4*x + 100 + 1 = -y. What is the greatest common divisor of x and 12? 12 Let o be 1/3*-1*-33. Let q be (-4)/(-1) + -13 + o. Calculate the highest common divisor of q and 3. 1 Let u(i) = -i**3 + i**2 + 7*i + 6. Let q be u(-4). Suppose 2*y = -4*d + q, 25 = -3*y - 4*d + 112. What is the greatest common factor of 29 and y? 29 Let d(m) be the third derivative of 5*m**4/24 + 7*m**3/2 + 40*m**2. Let f be d(-3). Suppose 0 = -0*j - j + 3. Calculate the greatest common divisor of j and f. 3 Suppose -3*l + 0*l + 12 = 0. Let g be 3/(13/3 - l). Suppose 2*y = g + 1. What is the highest common factor of 45 and y? 5 Let k be (-4 - -4) + -6 + 32. What is the greatest common divisor of k and 26? 26 Let t(d) = -d + 13. Let k be t(7). Suppose -8*c + k*c + 8 = 0. Calculate the highest common divisor of 20 and c. 4 Let r(a) = -2*a**2 - 11*a - 3. Let k be r(-4). Let j = -6 + 8. Suppose 0 = z - j*o - 8, 4*z = o + 42 - 17. What is the greatest common divisor of z and k? 3 Suppose r + 0*r - 46 = -4*d, 5*r + 4*d = 246. What is the greatest common divisor of 20 and r? 10 Suppose h + 3 - 2 = -4*z, 2*h + z = 19. Suppose -2*d + 4 + 0 = 0. Suppose 99 = d*c - c. What is the highest common factor of c and h? 11 Suppose 15*h + 1242 = 24*h. Suppose 3*w + 2*w = 0. Suppose w = 5*p - 6*p + 23. Calculate the highest common factor of h and p. 23 Let o = -360 + 414. Calculate the highest common divisor of o and 162. 54 Let v(b) = 2*b + 54. Let h be v(-20). Let i(w) = 5*w**2 + 4*w**2 + 5 - 6. Let n be i(2). Calculate the highest common factor of n and h. 7 Suppose -21*w = -51 - 159. What is the highest common factor of w and 90? 10 Suppose -5*n - 6 = 2*l, 4*l - 1 - 1 = -3*n. Suppose -6 - 9 = 3*o, -l*q - 4*o + 4 = 0. What is the highest common factor of 6 and q? 6 Let h(f) = f**3 - 5*f**2 + 5*f - 17. Let z(l) = 8*l**2 + 2*l - 4. Let w be z(1). Let d be h(w). Calculate the highest common factor of d and 14. 7 Let o be (-107)/(-3) - -3 - (-18)/(-27). Calculate the greatest common divisor of 114 and o. 38 Let v = -16 - -24. Let c = v - 4. Let b be 8/(-2 - (-8)/3). What is the highest common factor of c and b? 4 Let l(f) = -10*f - 1. Let c be l(-3). Let j = 44 - c. Let i be (-172)/(-20) - 9/j. Calculate the highest common divisor of 16 and i. 8 Let g = 85 - -32. Let f(b) = -b**2 + 4*b - 7. Let n be f(5). Let v = 1 - n. What
{ "pile_set_name": "DM Mathematics" }
arest to -2/7? (a) -0.1 (b) z (c) -0.2 c Suppose -5*m = 0, -2*u - 2*u + 2*m = 0. Let i = -2 + 2. Let q = 1.8 - -0.2. Which is the nearest to i? (a) q (b) 0.2 (c) u c Let y = 10 - 10. Let c(r) = r**2 - 4*r + 4. Let n be c(3). Let g be 2/(2 + 16/(-10)). What is the nearest to y in n, g, -0.3? -0.3 Let w = 10.89 + -11. Let n = w - -0.01. Which is the nearest to n? (a) -3 (b) 0 (c) -4/3 b Suppose 20 + 10 = -6*w. Let l = -1 - -3. Which is the closest to -2? (a) w (b) -0.5 (c) l b Let p = -1 - -0.8. Let b = 0.3 + p. Suppose -8 = 3*v + a, -6*a = 4*v - 5*a + 10. What is the nearest to v in b, 0.3, -2/5? -2/5 Let n = -0.468 - -0.068. What is the nearest to 4 in n, -2/17, 0? 0 Let u = -14 + 19. Which is the closest to 9? (a) u (b) 3 (c) -0.2 a Let q = 140 + -139.98. Which is the nearest to -1? (a) q (b) 0 (c) 1 b Suppose p = 1, -3*d + 3*p + 0 = -12. What is the nearest to -0.2 in 3/5, d, -2/13? -2/13 Let u be 0 - 0 - (-8)/(-14). What is the nearest to -0.2 in u, -5/6, 2? u Let o be ((-22)/44)/((-10)/(-12)). What is the closest to -3 in -0.5, o, 1/3? o Let g be 91/(-195) - 1/5. Which is the nearest to g? (a) 1/5 (b) -0.1 (c) -3 b Let y be (-1)/(-5)*11*-1. Let i = y + 89/45. What is the nearest to -1 in 3/2, 1, i? i Let u = 0.8 - 1. Suppose 0 = 3*t - 2*t + 4*h + 2, t = 5*h + 7. Which is the closest to u? (a) 0.4 (b) -1 (c) t a Let f be (-5)/((5 - 8)*(-2)/6). Which is the nearest to -0.3? (a) 2/3 (b) -2 (c) f a Let n = -0.5 - -0.3. Let p = 13/6 - 5/2. Which is the closest to n? (a) p (b) 0 (c) -1 a Let z = 2 + -2. Let q = -7.7 + 0.7. Let y = q - -10. What is the nearest to z in 1/10, -1, y? 1/10 Let h = 6 - 9. Let w = -29 + 25. Which is the closest to 1? (a) 4 (b) w (c) h a Let o = 0.09 - -0.21. Which is the nearest to 1? (a) o (b) 5 (c) -1 a Suppose -u = 3*q + 10, -u + 1 - 5 = q. Let s = 2 + -1.5. Let k = 1.02 + -0.02. What is the nearest to u in 4, k, s? s Let o = 111 + -111. Which is the nearest to 1/16? (a) -3 (b) -0.1 (c) o c Let k = 1.7 - 2.1. Let w = 1/23 - 55/207. Which is the closest to 0? (a) k (b) 0.2 (c) w b Let d be 12/42 - (-2)/42. Let k = -3 + 2. Let x be 0*((-10)/4 - -2). What is the nearest to k in d, -2/23, x? -2/23 Let o = 0.04 + 0.86. Let s = o - 0.6. Let f = -0.1 - -0.3. Which is the nearest to -1/3? (a) f (b) -1/3 (c) s b Let v = 0.2 + -0.2. Let w = 17/33 - 2/11. Which is the nearest to v? (a) 7 (b) -0.4 (c) w c Let i = 3 - 3.5. Let u be 1/(4 - (-14)/(-4)). What is the closest to u in -0.1, i, -0.2? -0.1 Let c = 130 - 394/3. What is the closest to -0.2 in 3, c, 2/21? 2/21 Let w = 3 - 3.2. Let i be (42/15)/(16/(-100)). Let u = i - -18. Which is the nearest to u? (a) -2/9 (b) 2/3 (c) w b Suppose 0 = -g - 5. Which is the closest to 0.2? (a) g (b) 0.1 (c) -0.5 b Let u = 0.13 + 2.87. Which is the nearest to 3? (a) u (b) -2/7 (c) -3 a Let x = -4473/17 - -263. Which is the nearest to -0.1? (a) -5 (b) x (c) 1 b Let f(t) = -t**3 - 6*t**2 - t - 3. Let x be f(-6). Suppose -x = -2*r - r. Which is the nearest to r? (a) -1/2 (b) -2 (c) 0.5 c Suppose 2*w = -0*w. Let a be 0 + (1 - 2) + 0. What is the closest to 0.1 in w, -4, a? w Let b = -2.8 - -14.8. Let j = -0.01 - 9.99. Let q = b + j. What is the nearest to q in 1/4, 4, -0.4? 1/4 Let x = 0.1 + -0.3. Let n = 93/91 - 17/13. Let d = 0.64 + -0.14. Which is the nearest to n? (a) 1 (b) x (c) d b Let m = -125 + 122. What is the nearest to -0.1 in 2/9, m, -2/3? 2/9 Let u = 2.1 + -2. Let t = 12 + -11.9. What is the closest to t in -2/3, u, -2? u Suppose 3*h + 4 = 5*h. Suppose -4*z = -5*x - 8, -z + 2*x + 0*x + h = 0. Which is the closest to 0? (a) -1/7 (b) z (c) -0.4 a Let y = 49 + -195/4. Which is the closest to -0.1? (a) 0.4 (b) 2 (c) y c Let y be (376/28)/(81/(-14)). Let s = 1/81 - y. Let w = -2 + s. Which is the closest to w? (a) 1 (b) -2/13 (c) 3 b Let g = 31/5 - 29/5. Let t = -2 + 3. Let f be 176/(-363) - 4/(-6). Which is the nearest to t? (a) g (b) f (c) -4 a Let m(q) = 2*q**2 - 2*q + 1. Let a be m(3). Suppose 3*b = a + 2. What is the nearest to 0.1 in 2, -0.3, b? -0.3 Let t = -34 - -34.01. Let k = -2.24 + 0.25. Let l = k - t. Which is the nearest to 0.1? (a) -1/3 (b) 0.5 (c) l b Let i = -234 + 1635/7. What is the closest to 2 in i, -2, -3? i Let k(p) = -2*p + 2. Let c be k(4). Let h be (11 + c)/(2 - 1). What is the nearest to 1/4 in -0.4, -4, h? -0.4 Let s be 7/(-28)*(-8)/(-14). Let m = -3 + 4.1. Let p = -0.1 + m. Which is the nearest to p? (a) 3 (b) s (c) 1/3 c Let n be -5 + (-1803)/(-378) + (-6)/(-21). Which is the closest to n? (a) 5 (b) 0.1 (c) -4 b Let d = 5.6 + -2.6. Which is the nearest to d? (a) -1/3 (b) -1 (c) 0.1 c Let t = -0.26 - 0.74. Let p be (-1)/(-2)*2/(-7). What is the closest to 1 in p, 4, t? p Let x = 6 - 2. Let i(z) = z**3 - 15*z**2 - 17*z + 16. Let m be i(16). What is the nearest to 0 in m, -0.4, x? m Let v be (-12 + 12)/(1*2). Let o = 3 + v. Which is the closest to -1? (a) -2/11 (b) o (c) 2/5 a Let z = 0.09 - 6.59. Let o = 7 + z. What is the nearest to -1/2 in -1/2, o, -4? -1/2 Suppose 2*i = 5*i. Let y be -1 + i - 24/(-60). Which is the closest to -3? (a) 1 (b) -1 (c) y b Let u = 8 - 13. Let t = -8 - u. Let y = t - -3.4. What is the closest to -1 in -1, -2, y? -1 Let b = -0.08 - 1.92. Let t = 0.16 + -0.16. What is the nearest to b in 1/5, 0.1, t? t Let r = -2.6 - -1.6. Which is the nearest to 1/3? (a) r (b) 0.4 (c) 1 b Let f be 4/(-10) - (-41922)/405. Let y = f - 103. Which is the nearest to 2/7? (a) 2/19 (b) y (c) 1/4 c Let j = -12/19 - -146/171. Let v be 5*2/(-10)*2. Let t = 0 - -0.2. Which is the closest to v? (a) j (b) t (c) 1 b Let n = -0.1 - -0.2. Let h = 0.2 - 0.1. Let f = n - h. Which is the closest to f? (a) -2/3 (b) 2 (c) -5 a Let c = -4 + 3. What is the nearest to 2 in 1/2, c, 0.1? 1/2 Let g = -27 - -29.3. Let c = -2.2 + g. What is the nearest to -0.1 in 2, c, -2/3? c Let f = 1 - -1. Suppose -3*z + 13 = -2. Let g = -5 - -4.9. Which is the closest to g? (a) 2/9 (b) z (c) f a Let n = -7.3 + 7. Let o = n + -0.1. Which is the nearest to -0.1? (a) o (b) -0.3 (c) 0.4 b Let w = -0.2 - 0.8. Let q = -0.267 - -0.227. Which is the nearest to -1? (a) w (b) q (c) -1/2 a Let t = 3.11 + -0.11. Which is the nearest to -1/3? (a) 1/2 (b) -3 (c) t a Let p = -3.7 + 6. Let d = 0.3 - p. What is the closest to -1/2 in -3, -4, d? d Let q(g) = -g - 5. Let z be q(-5). What is the closest to -1/2 in -4, z, -3? z Let m = 3 - 3.3. What is the closest to -1 in m, -1, 2/3? -1 Let f = 7.9 + -8. What is the closest to 2 in 1/4, f, 5/2? 5/2 Let j(k) = -3*k - 6. Let s be j(-2). What is the nearest to s in -4/3, -6/23, 1/5? 1/5 Let f = 92.7 + -97. Let x = f + 4. Let g = -37/4 + 10. What is the closest to 0.1 in x, g, -2? x Let y = -51.53 + 52. Let m = y - -0.03. Which is the nearest to 0.1? (a) m (b) 1/3 (c) 3/2 b Let d(z) = z + 9. Let v be d(-9). Suppose k - 1 = 1. Suppose 3*l = -k*l. What is the nearest to v in 5, 3, l? l Let c = 224 - 1337/6. Let g = c + -5/3. What is the nearest to -0.2 in g, 0, -1? 0 Let o = 48 + -47.7. Let w = -2050/9 - -228. Which is the nearest to -1? (a) 4 (b) o (c) w c Let w be (0 + 0)/(2/1). Let m be (138/207)/(2/12 + 0). What is the nearest to 2/5 in -6/11, w, m? w Let u = 3 - 2. Let n = 0.263 - -0.037. What is the closest to 0 in u, -0.2, n? -0.2 Let c = 16.5 - 8. Let u = 8 - c. What is the closest to 0.1 in 4/5, u, -3? u Let q = 6 - 0. Let y = q - 6.6. Let n = y - -2.6. Which is the closest to 2/5? (a) 0.5 (b) n (c) -2 a Let p = -6/11 + 45/22. What is the closest to p in -1/4, 0.1, 0.4? 0.4 Let x = -472/9 + 158/3. Let u = 0.6 + -0.1. Which is the closest to 1? (a) 1/6 (b) u (c) x b Let s be (-2)/(-20) - 3/6. What is the closest to -1 in s, -0.3, 2? s Let v be (20/(-30))/(42/27). Which is the nearest to -1/5? (a) v (b) -3 (c) -1 a Let z = -4 + 0. Let q = -0.33 - -0.53. Which is the closest to 2? (a) q (b) -2 (c) z a Let f = 47 - 17. Let v be 32/f + 2/(-5). Let a = 5.7 - 6. What is the nearest to v in 1/5, a, 3? 1/5 Suppose -d + 4 = -5*d. Let w = -28 - -27.9. What is the closest to w in d, 2, 5/4? d Let u = 30/17 + -69/68. Which is the nearest to 1? (a) u (b) -0.3 (c) 2 a Let j = 0 - 0.05. Let d = -4.05 - j. Let x = -0.38 + 0.08. W
{ "pile_set_name": "DM Mathematics" }
the units digit of s? 8 Let o = 247 - 140. What is the hundreds digit of o? 1 Suppose -m - 560 = -5*q - 6*m, -4*q = -4*m - 472. What is the units digit of q? 5 Suppose 7*g = 4*g + s + 14, -2*g + 3*s = -14. Let t(j) = j - 2. What is the units digit of t(g)? 2 Suppose -6 - 394 = -4*z. What is the tens digit of z? 0 Let t be 2 - (-4)/(-1 - 1). Suppose t*n + 4 = 2*n. What is the units digit of n? 2 Let v be (-16)/6 - 6/(-9). Let x be (v - -1)/(2/(-8)). Suppose 0 = 2*r - x. What is the units digit of r? 2 Let z(p) = p + 1. Let n be z(1). Let q(i) = i + 3*i**2 + n - 5 + 2*i. What is the tens digit of q(-3)? 1 Suppose -201 = -3*q - 3*g, 8 + 12 = 4*g. What is the tens digit of q? 6 Suppose 2*c = -2*c + 152. What is the units digit of c? 8 Let r(n) = -2*n - 12. Let g(s) = -3*s - 12. Let u(t) = 3*g(t) - 4*r(t). Let m be u(6). Let l(h) = -h**2 + 7*h + 4. What is the tens digit of l(m)? 1 Suppose 4*m - m - 9 = 0. Suppose 0 = -c - 2*f + 23, -c - 4*f + 72 = m*c. Suppose 5*x - 2 = c. What is the units digit of x? 3 Let i be 1/(2 + 1)*9. Let v(t) be the second derivative of t**3/6 + t**2/2 - 4*t. What is the units digit of v(i)? 4 Let h(k) = -k**2 - k. Let y be h(-2). What is the units digit of y - -2 - (-9)/1? 9 Let l(v) = -5*v + 2. Let a(i) = -11*i + 5. Let t(k) = -k**2 - 2*k + 3. Let n be t(2). Let r(w) = n*l(w) + 2*a(w). What is the units digit of r(3)? 9 Suppose 30 = 6*w - 138. What is the units digit of w? 8 Suppose 4*c - 51 = 293. Suppose -c = -5*h - 6. What is the units digit of h? 6 Let o be 208/3 + (-4)/(-6). Let w be ((-2)/4)/((-7)/o). Suppose w*k = 3*k + 4. What is the units digit of k? 2 Suppose 3 = -2*p + 5*p. What is the units digit of (6/10)/(p/10)? 6 What is the tens digit of 2 + 1023/21 - (-6)/21? 5 Let p(j) = 4*j**2 - 5*j + 2. What is the units digit of p(3)? 3 Let u(y) = -y + 4. Let j be u(4). Suppose j = h + 12 + 2. What is the units digit of (-10)/h - 2/(-7)? 1 Let d be (-5)/((-15)/(-12)) + 1. Let m = d + 5. What is the units digit of m? 2 Suppose 3*a + 5*u - 107 = 0, 3*a = 3*u + u + 125. What is the units digit of a? 9 Suppose 0 = -4*j - 4*y + 28, 3*y = -2*j + 3*j - 27. Let r = 8 + j. What is the tens digit of r? 2 Let l = 1 + -2. What is the units digit of 5 + -4 - (-9 - l)? 9 Let f(x) = x**3 - x**2 - x + 36. Let z be f(0). Suppose 2*d = 5*d - z. What is the tens digit of d? 1 Let v(d) = 2*d**2 + 5*d + 3. What is the units digit of v(-3)? 6 Suppose -z - c + 5 = c, -4*c = -4. Suppose z = -w + 5. What is the units digit of w? 2 Suppose 3*h - 8*h + 10 = 0. Suppose -h*b + 1 = 7. Let x(i) = i**2 + 3. What is the tens digit of x(b)? 1 Suppose 8*v - 3*v = 1130. What is the hundreds digit of v? 2 Let f = 7 - 10. What is the units digit of (f - -1) + 7/1? 5 Let m be (-2)/8 - 190/8. What is the tens digit of 2/(-8) + (-318)/m? 1 What is the tens digit of (-60)/50*260/(-6)? 5 Let i(s) = s**2 - 9*s + 3. Let v be i(9). Suppose 3*o + v = 4*o - 3*t, 3*o + 3*t = -3. Suppose o*u = -5*u + 15. What is the units digit of u? 3 Let c be 21/5 + (-4)/20. What is the tens digit of ((-2)/c)/((-3)/60)? 1 Suppose 4*i = 2*u - 110, -4*u + 2*u + 29 = -i. What is the units digit of (-72)/i*3/2? 4 Suppose -4 = 4*n, -n - 72 = 5*b + n. Suppose -s + 10 = -3*s. Let k = s - b. What is the units digit of k? 9 Let w = 11 - -6. What is the units digit of w? 7 Let m(r) = -r**2 + r + 52. What is the units digit of m(0)? 2 Let z = 23 + -7. Suppose 4*j - 4 - z = 0. What is the units digit of j? 5 Let x = -6 + 22. What is the units digit of x? 6 Suppose -2*i + 3*i = 3*j + 42, 2*i - 77 = -j. What is the units digit of i? 9 Let f(z) = -3*z**3 - 3*z**2 + 2*z - 1. Let l be f(2). Let o = -15 - l. What is the tens digit of o? 1 Let t = -3 - -2. Let b be (t/3)/(4/24). Let k = b - -5. What is the units digit of k? 3 Let p = 5 + -4. Let z be ((-2)/5)/(p/(-60)). Suppose 0 = -3*t + t + z. What is the tens digit of t? 1 Let v = 0 - -13. Let p = 0 + v. What is the tens digit of p? 1 Let k(c) = 69*c**3 + 2*c**2 - 2. What is the units digit of k(1)? 9 Let f be 43/(-4) - (-1)/(-4). Let w = 19 + f. What is the units digit of w? 8 Suppose 0 = -3*j + 148 - 19. What is the units digit of j? 3 Let g be -2 - ((2 - 0) + -2). Let k be g/(-3)*27/6. What is the units digit of -1 + 3 - k/3? 1 Suppose -28 = -2*b + 6. What is the tens digit of b? 1 Suppose 2*d = 6*d. Let a(r) be the third derivative of r**6/120 + r**5/60 + 2*r**3 + r**2. What is the units digit of a(d)? 2 Let h = 177 - 115. Suppose -h = -5*j + 2*b + 3, -2*b = 5*j - 65. What is the tens digit of j? 1 Let t(p) = 4*p**2 + 14*p + 7. What is the units digit of t(-4)? 5 Suppose 0 = -3*b + 7*b - 2*m - 124, -2*b + 54 = -5*m. Suppose y = -y + b. What is the units digit of y? 6 Let d(n) = -2*n - 3*n + 2 - 7*n + n. What is the tens digit of d(-2)? 2 What is the units digit of (-72)/3*(-3)/9? 8 What is the units digit of (-63)/12*(-8)/3? 4 Suppose -6*f + 962 = -328. What is the hundreds digit of f? 2 Let i be ((-6)/(-4))/(3/(-8)). Let u = i - -6. Suppose -u*o + 27 = -3. What is the tens digit of o? 1 Let o be (-82)/(-8) - (-2)/(-8). Let w be (10/(-4))/((-1)/(-2)). Let g = w + o. What is the units digit of g? 5 Let p(v) = v - 7. Let f be p(7). Suppose -6*k - 3*s = -k - 19, k + 4*s - 14 = f. What is the units digit of k? 2 Suppose 2*l + 37 - 4 = 3*y, 3*l + 57 = -3*y. Let d = -1 - l. Suppose 12 = 2*n + h, 2*h - h = -3*n + d. What is the units digit of n? 5 Let q(h) = h**3 - 12*h**2 + 9*h - 3. Let i be q(11). Let m = -4 - i. What is the units digit of m? 1 Let k = 113 + -74. What is the tens digit of k? 3 Suppose -2*q + 0*q = 2, 5*q + 21 = -2*n. Let j = -7 - n. What is the tens digit of (1 - j) + (1 - -18)? 1 Let t = 27 + -19. What is the units digit of t? 8 Suppose -8*n + 20 = -3*n, -4*t - 3*n + 28 = 0. What is the units digit of (t - 2) + (-104)/(-4)? 8 Suppose 3*w + 281 = 2*d + 3*d, 4*w = 5*d - 283. What is the tens digit of d? 5 Let s be 4/(-8) - (-11)/2. Suppose s*l + 2*h = 7, -12 = 4*h - h. What is the units digit of l? 3 Suppose -3*r - 936 = -3*b, 3*b + r = 8*b - 1552. What is the tens digit of b? 1 Let r(c) = 3*c**2 - 2*c - 12. Let v(p) = p**2 + 14*p + 18. Let z be v(-13). What is the tens digit of r(z)? 5 Suppose 5*h + 3*n = 48, 0*n = -5*h + 2*n + 43. Let s = h - -6. What is the tens digit of s? 1 Let q = 63 + 91. What is the hundreds digit of q? 1 Suppose -2*l = -p - 4 - 1, -10 = 3*p - 5*l. Let r(u) = u**2 + 18*u + 4. Let z be r(-18). Suppose q - p = -m - 3*q, -50 = -z*m - q. What is the tens digit of m? 1 Let g = 3 + 17. Let y = 5 - 2. Suppose f - y*f + g = 0. What is the units digit of f? 0 Let c(w) be the first derivative of w**3 + 3*w**2/2 - w + 3. What is the units digit of c(-3)? 7 Suppose -5*x + x + 3*z + 256 = 0, 2*x - 128 = 2*z. Suppose 7*q - 3*q = x. What is the units digit of q? 6 Suppose 0*h + h - 4 = 0. Suppose 0 = h*p + p - 10. What is the units digit of p? 2 Let s(p) = p + 18. Let j(z) = -z**3 - 5*z**2 - 3*z - 4. Let b = -2 + -2. Let r be j(b). What is the units digit of s(r)? 0 Let u(m) = -39*m + 1. Let w(l) = l + 7. Let i be w(-8). Let s be u(i). Suppose s = 4*h + h. What is the units digit of h? 8 Let u = 10 + -20. Let t = 7 - u. What is the tens digit of t? 1 Let x = 52 + -29. Suppose -4 = k - x. Suppose 5 = 3*j - k. What is the units digit of j? 8 Suppose 128 = 4*b + 2*p, -2*b + p = -0*b - 72. What is the units digit of b? 4 Let w(q) = -q**3 + 10*q**2 - 10*q + 12. Let x be w(9). Suppose x*a - 1 - 5 = 0. What is the units digit of a? 2 Let j(c) be the third derivative of -c**5/60 - 11*c**4/24 + c**3 + 3*c**2. What is the tens digit of j(-10)? 1 Let m = 64 - 21. What is the units digit of m? 3 Suppose 5*g - 632 = t, -2*t = -0*g - 2*g + 248. What is the tens digit of g? 2 Suppose 0 = k + 2*z - 51, 0*z = -3*k - z + 143. What is the units digit of k? 7 Let g(l) be the first derivative of 3/4*l**4 + 1 + 0*l + 0*l**3 - 1/2*l**2. What is the units digit of g(1)? 2 Suppose 45 = 2*i - 131. What is the tens digit of i? 8 Suppose 2*c + 10 = 4*c. Suppose -4*l + 21 = 2*w - c*l, 4*w + l = 39. What is the units digit of w? 0 Suppose 4*s - 14 = v, -5*s + 5*v + 12 + 13 = 0. Let k = s + -2. Let d = k - -1. What is the units digit of d? 2 Let a = 22 + -20. Let p be (3/(-4))/((-1)/4). What is the units digit of -2*a*(-6)/p? 8 Suppose -546 - 30
{ "pile_set_name": "DM Mathematics" }
). 6592*o**2 - 3 Suppose 2*z - 6 + 2 = 0. Let c(s) = z*s + 5*s - 13*s + 5*s. Let n(k) be the third derivative of -k**5/3 - 3*k**2. Give c(n(f)). 20*f**2 Let p(k) = 2*k**2. Let u(n) = 14979665*n**2. Calculate p(u(v)). 448780727024450*v**4 Let i(b) = 25380*b**2 + 5922*b + 658. Let f(t) = -193*t**2 - 45*t - 5. Let x(p) = -658*f(p) - 5*i(p). Let o(j) = 3*j**2. Calculate x(o(s)). 846*s**4 Let z(k) = k**2 - 412187*k. Let v(x) = 2*x. Calculate v(z(d)). 2*d**2 - 824374*d Let c(k) be the second derivative of 0*k**3 + 0*k**2 + 23 + 1/12*k**4 - 3*k. Let p(u) = 209*u**2 + 2*u. What is c(p(x))? 43681*x**4 + 836*x**3 + 4*x**2 Let r(s) be the third derivative of s**5/60 - s**4/24 - 617*s**3/2 + 17*s**2 + 3*s. Let d(h) = -2*h. Calculate r(d(j)). 4*j**2 + 2*j - 1851 Let a(p) = -97141*p. Let m(y) = 115*y + 2. What is m(a(v))? -11171215*v + 2 Let i(c) = 2. Let f(s) = 16 - 19 - 7 - 2*s + 0*s. Suppose -8 = 4*r + 12. Let d(l) = r*i(l) - f(l). Let h(o) = -o. What is d(h(x))? -2*x Let x(a) = 14509*a. Let b(r) = -1071*r**2 - 1. Determine x(b(h)). -15539139*h**2 - 14509 Suppose w + 5*i = -1, -i = -3*w + 6 + 7. Suppose -8*h + 15852 = w*h. Let v(r) = h - r**2 - 1321. Let u(c) = -13*c**2 + 3*c. What is v(u(x))? -169*x**4 + 78*x**3 - 9*x**2 Let z(u) be the first derivative of 3*u**2/2 + 2. Let l(c) = -545*c**2 - 155. Let o(q) = 21*q**2 + 6. Let w(s) = 6*l(s) + 155*o(s). Calculate z(w(a)). -45*a**2 Let i(d) = -2*d**2. Suppose -6*c - 2*b = -3*c - 69, -b = -3*c + 60. Let n(r) = r - 21 - 18 + 97 - c - 21. Determine i(n(l)). -2*l**2 - 64*l - 512 Let y(p) be the third derivative of -p**4/12 + 9*p**3 + 4*p**2 + 87. Let z(k) = 63*k. Give y(z(g)). -126*g + 54 Let r(y) = -88*y**2. Let k(t) = -4310*t**2. What is r(k(z))? -1634696800*z**4 Let l(z) = -41*z + 49*z - 9*z. Let m(a) = 195*a**2. What is m(l(q))? 195*q**2 Let x(a) = -87934634*a. Let h(p) = p**2. What is h(x(o))? 7732499856713956*o**2 Let z(u) = 124*u**2 + 134*u - 10. Let q(d) = 42*d**2 + 40*d - 3. Let f(c) = 10*q(c) - 3*z(c). Let r(a) = -21*a. Determine f(r(p)). 21168*p**2 + 42*p Let w(t) = -24823*t - 25001*t - 24166*t + 75028*t. Let g(z) = 3*z. What is g(w(o))? 3114*o Let h(a) = a. Let t(p) = -74 + 10058*p + 35 + 39. What is t(h(r))? 10058*r Let r(b) be the first derivative of -4*b**3/3 - 4462. Let o(y) = -1831*y. Calculate o(r(k)). 7324*k**2 Let m(n) = 3436*n**2. Let v(b) = 7*b**2 - 18*b - 2. Let t(u) = 45*u**2 - 117*u - 13. Let q(c) = 6*t(c) - 39*v(c). Give m(q(l)). 30924*l**4 Let k(l) = 343*l**2 - 7371428 + 7371428. Let d(y) = 2*y. Determine d(k(f)). 686*f**2 Let i(o) = -157259*o**2. Let w(q) = 195*q. Determine i(w(a)). -5979773475*a**2 Let l(g) = 15*g. Let t(m) = -185*m**2 - 50823*m + 50823*m. Calculate t(l(i)). -41625*i**2 Let n(c) = -134 - 16 + 150 + 18*c. Let x(q) = -60*q**2. Calculate x(n(y)). -19440*y**2 Let g(q) = 4584689*q - 4584689*q - 3*q**2. Let v(r) = 2*r**2 + 147*r. What is v(g(d))? 18*d**4 - 441*d**2 Suppose 0 = 2*k + 76 - 86. Let r(i) = -8*i**2. Let j(o) = -18*o**2. Let u(l) = k*r(l) - 2*j(l). Let g(m) = -3*m**2. Determine u(g(y)). -36*y**4 Let v be 4/(-3)*(-8 - -7)*21. Let x(f) = 15*f - v*f + 9*f + 6*f. Let i(m) = 6*m - 9*m - 12*m. Determine x(i(r)). -30*r Let a(h) = -1158*h - 1. Let g(l) = -22*l**2 + l - 1. Let y(n) = -133*n**2 + 6*n - 6. Let r(d) = -6*g(d) + y(d). Calculate r(a(x)). -1340964*x**2 - 2316*x - 1 Let p(o) = 1458*o. Let r(s) = 2*s**2 - 46 + 46 + 58*s - 58*s. Calculate p(r(l)). 2916*l**2 Let z(w) = 4*w + 2*w - 6 + 6. Let l(p) = -18*p - 13*p + 31*p + 20*p**2. Calculate l(z(k)). 720*k**2 Let c(p) = 7*p**2 + 9*p. Let x(f) = 5*f**2 + 6*f. Let i(t) = 2*c(t) - 3*x(t). Let b(r) = 3*r + 4. What is b(i(h))? -3*h**2 + 4 Suppose -k - 12*k = -65. Let u(n) be the third derivative of -1/30*n**k + 0*n**3 - 13*n**2 + 0*n + 0*n**4 + 0. Let z(d) = 2*d**2. Give u(z(b)). -8*b**4 Let x(b) be the first derivative of 358*b**3 + 1704. Let w(p) = p**2. Determine x(w(k)). 1074*k**4 Let m(f) = 3*f**2. Let k be ((-640)/240 + (2 - -1))*1. Let a(v) be the first derivative of 0*v**2 + k*v**3 + 0*v + 18. Calculate m(a(d)). 3*d**4 Let o(c) = 11*c. Let d be 63/(-14)*8/(-6). Let s(l) = -7*l**2 + 12*l**2 - d*l**2 - l**2. Determine o(s(k)). -22*k**2 Let n(s) be the first derivative of 2*s**3/3 + 11261. Let d(r) = 11*r - 4. Let g(t) = -45*t + 15. Let p(w) = -15*d(w) - 4*g(w). Determine n(p(c)). 450*c**2 Let b(u) = -13*u**2. Let p(o) = -1456*o + 7. Give p(b(z)). 18928*z**2 + 7 Let h(m) = -1658*m**2 + 3325*m**2 - 1666*m**2. Let b(d) = -d**2 + 75*d - 13. Calculate b(h(n)). -n**4 + 75*n**2 - 13 Let b(s) be the first derivative of 614*s**2 - 1653. Let q(h) = h. Give b(q(n)). 1228*n Let n(f) = 6*f**2 - 36*f + 2. Let u be n(6). Let x(s) = 3*s**u + 15 + 3*s**2 - 7*s**2 - 15. Let g(z) = -2*z + 36. Give x(g(j)). -4*j**2 + 144*j - 1296 Let z(g) = 13*g. Let c(h) = -107*h + 6. Let j(u) = -3115*u + 175. Let a(p) = -175*c(p) + 6*j(p). Give z(a(v)). 455*v Let w(u) = 76432*u + 3. Let a(s) = 12*s. Determine w(a(q)). 917184*q + 3 Let x(w) = -59*w**2 + 4*w + 4. Let y(a) = -44*a**2 + 3*a + 3. Let c(i) = -3*x(i) + 4*y(i). Let k(b) = -1096*b. What is c(k(m))? 1201216*m**2 Let c(v) = -2*v - 499. Let i(u) be the second derivative of -u**3/3 - 7683*u. Calculate c(i(g)). 4*g - 499 Let b(v) = -3*v. Let m = -1017 + 1011. Let d = 4 - 8. Let o(n) = -n**2 + 2*n. Let l(f) = -3*f. Let r(k) = d*l(k) + m*o(k). Give b(r(u)). -18*u**2 Let s(d) = -6*d**2. Let y(r) = -136*r - 6. Let z(j) = -131*j - 4. Let l(p) = 2*y(p) - 3*z(p). Give l(s(b)). -726*b**2 Let v(y) = -516 + 26*y + 516. Let o(m) = m + 2. Let x(k) = 1. Let c = 11 - 13. Let a(l) = c*x(l) + o(l). Determine v(a(w)). 26*w Let a(q) be the second derivative of q**4/12 + 534*q - 11. Let d(b) = 12*b**2 - 3*b + 0 + 0. Determine d(a(m)). 12*m**4 - 3*m**2 Let f(o) = 87*o - 72. Let m(u) = 26*u - 26. Let k(s) = 4*f(s) - 11*m(s). Let b(z) = 12*z. Give k(b(g)). 744*g - 2 Let h(d) = 10*d**2. Let q(r) = -7*r + 14095. What is q(h(c))? -70*c**2 + 14095 Suppose -35*n + 159*n - 481 - 15 = 0. Let a(f) be the third derivative of 0 - 1/8*f**n - 6*f**2 + 0*f**3 + 0*f. Let m(y) = 8*y**2. What is m(a(r))? 72*r**2 Let j(x) = 5*x. Let h(a) = 61*a - 4. Let b(o) = -258*o + 17. Let f(v) = -2*b(v) - 9*h(v). Calculate j(f(q)). -165*q + 10 Let i(n) = 4*n**2 - 2*n - 6. Let f(k) = k + 3. Let l(v) = 4*f(v) + 2*i(v). Let h(j) = 14*j**2 - 3*j. Determine h(l(o)). 896*o**4 - 24*o**2 Let c(m) = 3*m + 18847. Let x(f) = -5*f + 7. Calculate x(c(b)). -15*b - 94228 Let c(s) = -1406*s. Let l(u) = 1186*u**2. What is c(l(d))? -1667516*d**2 Let w(z) = -11*z**2 + 3*z - 5*z + 2*z. Let s(x) be the second derivative of -x**4/12 + 9*x - 1. Determine w(s(f)). -11*f**4 Let u(i) = i + 2. Let c(q) = -1. Let g(t) = -2*c(t) - u(t). Let n(a) = 193*a + 23. Let x(j) = 115*j + 13. Let v(o) = 3*n(o) - 5*x(o). Calculate v(g(d)). -4*d + 4 Let t(x) = -2820679*x. Let o(y) = 18*y**2. What is t(o(c))? -50772222*c**2 Let s be (78/(-52))/((-2)/44). Let i(a) = -2*a + 32 + 0*a + s - 65 + 8*a**2. Let d(t) = 3*t. Calculate i(d(r)). 72*r**2 - 6*r Let w(z) = 513351*z**2. Let n(x) = 4*x**2. Give w(n(q)). 8213616*q**4 Let t(d) = 36666*d - 1654*d**2 - 505*d**2 - 36666*d - 792*d**2. Let m(u) = 2*u. Calculate t(m(k)). -11804*k**2 Let b(h) = -6 + 5*h + 6. Let p(u) be the first derivative of 5*u**2 - 13747. Give b(p(m)). 50*m Let y be (0 - (-8)/(-28))*-14. Suppose -y*z + 21 + 11 = 0. Let q(x) = -16 - 2*x**2 + 24 - z. Let s(d) = -10*d**2. Give q(s(j)). -200*j**4 Let q(v) = -v - 162. Let y(b) = -13*b + 72. Let m(k) = 196*k - 1092. Let f(x) = -6*m(x) - 91*y(x). Determine q(f(j)). -7*j - 162 Suppose 51*h = 61*h - 520. Let i(f) = -106*f - 78. Let r(g) = 12*g + 9. Let a(z) = h*r(z) + 6*i(z). Let y(d) = -18*d. What is a(y(m))? 216*m Let y(b) = 21*b. Let t(u) = 2210*u + 12. Determine y(t(v)). 46410*v + 252 Let s(v) = 540874*v. Let t(i) = 9*i**2. Give s(t(n)). 4867866*n**2 Let p(i) be the second derivative of 0*i**2 + 6*i - 17/6*i**3 - 3. Let y(s) be the second derivative of -s**4/4 + 2*s. Give y(p(b)). -867*b**2 Let j(m) = 0*m + m**2 + 0*m. Let n(s) = 53*s - 93*s - 77 + 58*s. Let d(q) = -9*q + 42. Let z(p) = -11*d(p) - 6*n(p). Give z(j(o)). -9*o**2 Let n(m) = -2144*m**2. Let q(b) = -14*b. Let v(i) = -17*i. Let p(j) = 5*q(j) - 4*v(j). Determine p(n(t)). 4288*t**2 Suppose 24*z = 40*z - 16. Let x(o) =
{ "pile_set_name": "DM Mathematics" }
) 0.4 (c) -2/7 (d) 1/4 a Suppose -3 = m + 2*v, 5*m + 25 = 2*m - 2*v. Let p = 2.41 + -2.11. Which is the closest to p? (a) m (b) 1 (c) -2/3 (d) 3 b Suppose -19*y + 17*y = 508. Let d be (2/12*-1)/((-1)/y). Let z = d - -42. Which is the closest to z? (a) -0.4 (b) 11/5 (c) -5 a Let n = -3611/2410 - 2/1205. What is the nearest to n in -1/6, 3, 1/2, 2/7? -1/6 Let o = -1742 + 1742.3. Let i be ((-55)/22)/((-1)/(-2)). What is the nearest to 0.1 in i, o, -1/11? -1/11 Let t = 0.034 - -1.966. Let m = -443 - -424.3. Let z = 19 + m. Which is the nearest to -1? (a) t (b) z (c) 1 b Suppose -36 + 38 = -f. Let s = -0.198 + 8.048. Let k = -0.15 - s. What is the closest to f in k, -5, 0.5? 0.5 Suppose -1 = -12*r + 23. Let j be r*(18/(-6))/3. Suppose s + 0 = 4*q - 15, 4*s = 3*q - 8. Which is the closest to 2/7? (a) s (b) 0.2 (c) j b Let l = -51.1 + -4.9. Let g = 55.3 + l. What is the nearest to -4 in -4, g, 0? -4 Suppose 106 - 119 = -7*h - 5*q, -3*h = 5*q - 17. Which is the nearest to 5? (a) 70 (b) -4 (c) h c Let f(i) = 31*i - 1112. Let m be f(36). Which is the closest to 3? (a) m (b) -1/2 (c) 0.22 a Let i be (-180)/210*(23/16 + -1). Which is the closest to -0.08? (a) -1/2 (b) i (c) 3/4 (d) -1 b Let f = 0.857 + 4.143. Which is the closest to -2? (a) f (b) 4 (c) 83 b Let i = -2.658 - -2.158. What is the closest to i in -4, -2/9, 0.4, -2? -2/9 Let y = 5.5 - 0.5. Let z = y + -5. Suppose -38*o + 426 = -251*o. Which is the closest to -0.3? (a) -0.1 (b) z (c) o a Let x be (335/1675)/(-1*(-1)/(-2)). Which is the closest to x? (a) 0 (b) 13/8 (c) -1 a Let q = 13 + -12.8. Let h = -1.5 - 1.7. Let s = q + h. What is the closest to 15 in s, 2/11, 0.1? 2/11 Let j = 13.5 - 0.5. Let x = 13 - j. Let z = 0.6 + 1.4. Which is the closest to x? (a) -6 (b) -1 (c) z b Suppose -72 = 6*g + 78. Let j be -1*g/(-10)*(-1)/5. Let m = 62 + -493/8. What is the nearest to -0.6 in m, j, -1? -1 Let z = 0.77 + -0.48. Let h = 1323.29 + -1321. Let l = z - h. Which is the closest to 1/4? (a) l (b) -0.4 (c) 4 b Suppose 3*u - 2*s + 11 = 4*u, 2*u = -5*s + 26. Let t = -926 + 927. Which is the closest to t? (a) u (b) 22 (c) 2/9 c Let v = -4969/3 + 1642. Let w = v - -77/6. What is the nearest to w in 2/7, 3, -3, -70/9? -3 Let n = 0.6 - 0.4. Suppose -17*g - 5 - 1 = -6. What is the nearest to g in n, -0.05, -1? -0.05 Suppose 6*o = 13*o - 14. Suppose 0 = -o*h + 14 - 24. What is the closest to 0 in 0, 2/7, h? 0 Let b = -27 + 27.3. Let m be 6/21 - (-346)/14. What is the closest to m in -1, -0.5, b? b Let h = 17.701 + -13.701. Which is the closest to 0? (a) h (b) -5 (c) -2/15 (d) -1/4 c Let d be (-1)/9*(-978)/(-163). Which is the nearest to 2/9? (a) d (b) 0.4 (c) 0.9 b Let q = 37.09 - 36.89. What is the closest to 1.3 in -27, 3, q, 4? q Let o be (-2 - -4)/(-1)*-1. Let y = 0.8 - -0.2. Let n = 71/2 + -1345/38. Which is the nearest to y? (a) 3 (b) n (c) o b Let p = -2/23 + 98/69. Let l = 34.2 + -36. Let f = l - -1.9. Which is the nearest to 1/3? (a) 1/3 (b) p (c) f a Suppose -77*q = -9*q - 10*q + 638. What is the closest to q in -0.08, -1/6, -0.1? -1/6 Suppose 6*u - 40*u = -272. What is the nearest to 0 in 0.5, 0.04, -2, u? 0.04 Let f be (-2)/6 + 66/90. Let b = 21065.97 + -21066. What is the closest to f in b, -1/11, 1/5? 1/5 Suppose -2*p + 25 = -5*k - 5*p, 0 = -5*k + p - 5. Let i = 55577 - 55574. Which is the nearest to k? (a) 2 (b) i (c) 4 a Let z = 755.52 - 775. Let i = z + -0.52. Let x = -20 - i. What is the nearest to -1 in 1, x, 2/7? x Suppose -34*g = -g. Suppose 19*w = 15*w + 8. What is the nearest to 3 in g, 1, w, -7? w Let n = 6 - 2. Suppose -n*s - 93 = 5*u, 4*u = -3*s + 7*s - 96. Let g be 27/u + (1 - 0) + 0. Which is the nearest to -2/5? (a) 0 (b) g (c) 0.5 b Suppose -1 = 2*n - 3*k + 11, -n + 3*k = 9. What is the nearest to 1 in n, 0.0643, 4? 0.0643 Let g = -7792 + 7868. Which is the closest to 2/7? (a) 10 (b) -2 (c) 0.4 (d) g c Let x = 10376 + -10708. Which is the closest to -3? (a) x (b) 2 (c) -0.5 (d) -2/13 c Suppose 476*i - 368*i = 324. Which is the closest to -0.4? (a) -0.07 (b) i (c) 1/4 (d) 1/7 a Let c = -98913/5 - -19783. What is the closest to 8/9 in -0.1, 0.3, 0.5, c? 0.5 Let w = -2.1058 + -0.0642. Let v = 2.07 + w. What is the nearest to -2/3 in v, -4, 3, 5? v Let s = -2888.3 + 2887. Which is the closest to -0.05? (a) s (b) 0.3 (c) -1 b Let x = -38 - -38.1. Suppose 4*u - 28 = 3*w, -u + 5*w + 70 = 63. Which is the nearest to -0.3? (a) u (b) -0.3 (c) x b Let l = -0.684 - -0.384. Which is the closest to 1? (a) -0.2 (b) 10 (c) -2.2 (d) l a Let d be 611/(-231) + 3 - (12 + 3780/(-330)). Which is the closest to d? (a) -1/4 (b) -5 (c) -0.12 a Let b = 5 - 7. Let y = -193 - -210.8. Let q = 18.3 - y. What is the nearest to 1/2 in b, -4, q? q Let k = -1.147 + 1.287. What is the nearest to -1 in 0.3, -3/5, 0.4, k? -3/5 Let g = -7953.3 + 7953. Which is the closest to 0? (a) 15.15 (b) g (c) -4 b Let h = 5548 - 5547. What is the closest to -2 in -1/3, -5/6, -1/2, h? -5/6 Let l be (-327)/(-1308) + ((-151)/12 - 1). Which is the nearest to -2? (a) 0.4 (b) 3 (c) l a Let y(l) = -3*l**2 - 30*l - 20. Let p be y(-9). Suppose 3 = 2*o - w + p, 4*o + 8 = w. What is the nearest to o in 0.8, 2, -1/5? -1/5 Suppose -197*z + 9 = 5*b - 198*z, b - 5*z = -27. Suppose -5*a = f + 4, -2*f = -4*a - 0*f + 8. Let s = a + 0. What is the nearest to 2 in b, s, 2? 2 Let p = -0.056 + -112.944. Let n = p + 112.9. What is the closest to n in 0.3, -13, 0.5? 0.3 Let n = 1742.965 - 1756. Let z = n + 0.035. Let k = -13.1 - z. Which is the closest to 0.5? (a) k (b) -0.4 (c) 1 c Let k = -10 + 14. Let j(v) = -v**3 - 7*v**2 + 10*v + 19. Let q be j(-8). Let r be (2/q)/(-12 - -11). Which is the closest to r? (a) k (b) -5 (c) 0 c Let l = -4.9606 + -0.0394. Which is the closest to -14? (a) -0.24 (b) 3 (c) l (d) -1 c Let f = 3820 + -3820. Which is the closest to 1/2? (a) 0.23 (b) -1/9 (c) f (d) -3 a Let f = -1 + -3. Let n = 45.844 + -46. Let w = n + 0.216. Which is the closest to -2? (a) f (b) 3 (c) w a Suppose -145*k + 143*k - 8 = 0, 5*k + 35 = 5*j. What is the nearest to -2 in -0.43, 0.3, 2, j? -0.43 Let l = 1124.6 + -1164.6. Which is the nearest to 4? (a) 0.3 (b) -5 (c) l (d) -5/3 a Let o = -2.4 + 0.4. Let c = 31602.4 - 31602. What is the nearest to 16 in c, o, 4/7? 4/7 Let d = 154 - 87. Suppose -4*n + d = 51. Which is the nearest to -0.2? (a) 0.06 (b) -3 (c) n a Let p be 1781/822*2/13. Which is the closest to -0.2? (a) -1/6 (b) -2/5 (c) p (d) 5 a Let r = -3908/5 + 27336/35. What is the nearest to 0.1 in 2/3, -134, r? 2/3 Let y be 10/(-8) - (-280)/(-160). Which is the nearest to -0.1? (a) -49 (b) 5 (c) y c Let b = -0.6247 - 372.2753. Let r = 373 + b. Let i = 31/28 + -6/7. What is the closest to -1 in 3, r, i? r Let o be 56/(-1036) - ((-2462)/370 + 7). Let h = -2 - 0. Let f = 0 + h. Which is the nearest to o? (a) f (b) -4 (c) -1/5 c Let v = 7.46 - -5.44. Let i = 9.9 - v. Let r = 0.6 - 0.1. What is the nearest to i in r, -3, -1? -3 Let u = -7.276 + 9.276. Which is the closest to 2? (a) u (b) 2/9 (c) 536 a Let x = 357 + -356. Let k = 0.31 + -0.01. What is the nearest to -1 in -1.3, k, x? -1.3 Let p = -1.014 + 0.014. Let y = 3.1 - p. Let o = y - 3.7. Which is the nearest to 2/9? (a) 3/5 (b) 2 (c) o c Let x = -235/4 + 59. Let y(h) = 133*h - 1461. Let z be y(11). Which is the nearest to 6? (a) z (b) x (c) -4 a Let u = 0.06 + 0.34. Let m = 15923 + -15918. Which is the closest to 3? (a) m (b) -0.4 (c) u a Let j = -32 - -39. Let t = 3.2 - -4.4. Let a = t - 7.5. What is the nearest to -3 in a, -4, j? -4 Let x be (-18)/(-3)*1 - 33/6. Which is the closest to 5/4? (a) -0.3 (b) -2/5 (c) x (d) -1/7 c Let p be 6*(21 + (-645)/30). Which is the nearest to -2/911? (a) 4/3 (b) p (c) 1 (d) -1 d Let b be 2/5 + 1040/25. Suppose 51*h - 111 = b. What is the closest to -0.2 in h, 0, -12, 4? 0 Let g = 10459 - 10465. What is the nearest to g in -2, -9, 2? -9 Suppose 9 = 3*k, -9 = -p - 5*k + 4. Which is the nearest to p? (a) -0.1 (b) -0.11 (c) 3 (d) -4 b Suppose 2*w + q + 14 = 2*q, -5*w - 4*q - 22 = 0. Let m(x) = 17*x - 15. Let i be m(1). What is the nearest to i in -4, -0.4, w? -0.4 Let h = -0.73 - -0.914. Let r = h - -0.026. L
{ "pile_set_name": "DM Mathematics" }
-28307.2 - -28307. Let l = 0.2 + -0.3. What is the third smallest value in 0.3, 0.9, u, l? 0.3 Let s = -4744 - -4745.2. Let m = 0.54 - 0.04. Which is the second biggest value? (a) m (b) s (c) -0.1 (d) -4 a Let u = 57.812 - 58.212. Let w be 6 - 0 - (-2)/(-2). Let l be (-10)/6*2/w. What is the fourth biggest value in 1/2, l, 8, u? l Let r = 1858 - 1850. Let i = 0.5 - 0.6. Which is the smallest value? (a) r (b) 4 (c) -0.4 (d) i c Let q = -207.6 + 205.3. Which is the third smallest value? (a) 0.1 (b) q (c) 4 c Let f(l) = l**3 - 23*l**2 - 114*l + 164. Let o be f(27). What is the third biggest value in 27, o, 19/3? o Let q = 10186 + -10109. Which is the second smallest value? (a) 2/15 (b) q (c) 0.1 (d) 5 a Suppose -340 = 2*q + 15*q. Let o be (-2 + 7)*(-3 - 64/q). Which is the second biggest value? (a) 0.4 (b) -1 (c) o a Let f = 2.504 - 2.464. Which is the smallest value? (a) -1/16 (b) -2 (c) f (d) -1 b Let a = 5944 - 5944.2. What is the third smallest value in a, 1/8, -0.7, -1/9, -1/2? a Let x = -1052 + 1052. Which is the smallest value? (a) x (b) 1.3 (c) -0.9 (d) -3/7 c Let t = 94/11 - 387/44. Let f = -9.27 + 9.28. Which is the smallest value? (a) t (b) -0.4 (c) f b Let i = 20219 + -20219.5. Let n(y) = -14*y**2 + y. Let j be n(-4). Let l = j + 1602/7. Which is the second smallest value? (a) l (b) i (c) -4 b Let h be (46/(-540))/(2/(-6)). Let i be 2/44*-4 - 141/(-594). Let l = h - i. What is the second smallest value in l, -5, -2, -3? -3 Let r = -0.076 + -89.924. Let f = -89.76 - r. Let s = -1.76 - f. Which is the biggest value? (a) s (b) -2/11 (c) -5 b Let a = -0.2577 - 39.5423. What is the biggest value in a, -1/5, 0.5? 0.5 Suppose 0 = -4*z + 3*t + 8, 7 = -2*z - 2*t + 11. Suppose -o = z*g - 1, g - 8 = -g. Let r = 0.01 - 2.01. Which is the biggest value? (a) r (b) o (c) 0.2 c Let u = -23513 + 23511. Which is the biggest value? (a) -1/3 (b) u (c) -0.5 a Let n be 0 - -4 - ((1045/(-57))/(-11) + 2). Which is the fifth smallest value? (a) 2 (b) -0.4 (c) 3 (d) 2.62 (e) n c Let q(y) = y**3 + 9*y**2 + 26*y + 19. Let n be q(-4). What is the second biggest value in 2, -13, -1/5, 0, n? 0 Let i = 110.61 - 110.01. Which is the third biggest value? (a) i (b) 8/3 (c) -2 c Let f = 4 - 37/9. Let d = -131 - -75. Let z be -2 - d/(-30) - (-7 + 3). Which is the smallest value? (a) 4 (b) z (c) f c Let q = 407 - 405. Suppose 5 = n - f - 9, 0 = 3*n + q*f - 17. Which is the smallest value? (a) -0.1 (b) n (c) -5 (d) 0 c Let m = 21.976 + 0.024. Let y = -28.3 + m. Let c = -2.3 - y. What is the second biggest value in -3, -3/8, c? -3/8 Let y = -0.292 + 0.207. Let u = y + 4.085. Which is the smallest value? (a) u (b) 8 (c) -2 (d) -4 d Let y = -18191 - -18191.4. Which is the biggest value? (a) y (b) 4/5 (c) 29.2 c Suppose 22 - 38 = 3*g - 5*n, 0 = 3*g - 2*n + 10. What is the second smallest value in g, -0.4, -44? g Let v(c) = -2*c - 12. Let p be v(-8). Suppose -9*o = -p*o - 10. Let n be (o/(-18))/((-10)/(-75)). What is the second biggest value in 1, n, 1.2? 1 Let h = 3137 - 3137.514. Which is the biggest value? (a) 0.1 (b) h (c) 3/5 (d) -5 (e) -0.5 c Let h = -4327 + 4327.3. Let l be (-19 - -4)/(2/2). Let i be -1*(-3)/l*-3. What is the third smallest value in -7, h, i? i Let o = -124 - 170. Let p = o - -257. What is the second biggest value in 1/2, p, -1/3? -1/3 Let j = 1471 - 1470.6. Which is the third biggest value? (a) 0.1 (b) j (c) 3 (d) -6 (e) -0.2 a Let v = 0.3 - 0.3. Let i = v + 5. Let n = 3.211 + 0.789. What is the second biggest value in -1, i, n? n Let m be 731/(-1190) - (2 + (-217)/98). Let w(t) = t**3 - t**2 + 3*t + 1. Let x be w(-2). Which is the smallest value? (a) 5/2 (b) x (c) m (d) -1/3 b Suppose -3*m + 0 = h - 4, -5*h = -5. Let g = 8.84 + -6.84. What is the second smallest value in 18, m, g? g Let z be ((-5)/15)/(19/(-399)). Which is the fifth biggest value? (a) 3 (b) z (c) -1/2 (d) -5 (e) 2/3 d Let y be (8 + 15)/(-276) - (5/3)/(-5). Which is the third biggest value? (a) -0.1 (b) 7662 (c) 3 (d) y d Let s = -13/17 - -307/357. Let f = 82.24 + -86. Let m = f - 0.24. Which is the third biggest value? (a) s (b) -0.7 (c) m c Let s be (2*(-4)/(-6))/(-1 + (-90)/(-27)). What is the third smallest value in 20.73, 3, s, 5? 5 Suppose -6*q = q + 280. Let m be 2*(-2 + (-68)/q). Let v be (-57)/(-12) + -4 - (-6)/(-8). Which is the second smallest value? (a) m (b) v (c) 2 b Let p = -665/36 + 37/2. Let d = -53/36 - p. Let z = 149 + -144. Which is the biggest value? (a) d (b) 4 (c) z c Let j be (-11)/(-2)*64/176. Let i = -2.03 + 2. Let q = -0.43 - i. What is the second smallest value in -1, q, 5, j? q Let g be (-176)/(-18) + -7 + -3. Let v = -305 - -2749/9. Which is the biggest value? (a) g (b) -2 (c) v (d) 0.4 c Let n = -4339 - -4339. Which is the second smallest value? (a) 10 (b) -2 (c) -0.99 (d) n c Let z(f) = 5*f**2 + 10*f - 49. Let l be z(9). Let p = l + -3121/7. Which is the second smallest value? (a) -1/10 (b) 1/4 (c) p c Let r be (-93)/234 - (1176/312 - 4). What is the smallest value in r, 0.09, 2, 0.18, 1? r Let p = 72.958 + -73. Let c = p - -0.042. What is the second biggest value in -2/13, -6, c? -2/13 Let x be 24/110 + 2/(-5). Let q = 250 + -216. Let f = q + -33.9. Which is the second biggest value? (a) f (b) x (c) 1 a Let l = -38962 + 5493677/141. Let u = l + 4/47. Which is the second biggest value? (a) 2 (b) -6 (c) u c Let g = 77.26 + -77.3. Let f = 389/10 + -77/2. What is the second smallest value in f, g, 2, -3? g Let h = 367724/9 + -40858. Let n be (-2)/(-6) - 177/585. Which is the third biggest value? (a) h (b) n (c) 0 c Let b = 17 - -25. Let j = b - 55. What is the fourth smallest value in 0.3, 2, j, 4? 4 Let x = 14 + -10. Let q = -2719.7 - -2719.67. What is the fourth biggest value in -2, -1/4, x, q? -2 Let r = 45 - 47. Let m = -0.1 + 0.84. Let n = m + 0.46. What is the smallest value in r, -3, n, 2/3? -3 Let f = 270 - 267. Let b be 0 - (-49)/42*(-4)/14. What is the second smallest value in f, -1, 17/4, b? b Let s = 4.169 - 5.169. What is the third biggest value in -0.16, 0, s, -5, -3? s Let y be (49/14*2/14)/(-2). Let z(a) = a**3 - 13*a**2 + 11*a + 5. Let k be z(12). What is the fourth biggest value in k, -6, y, -0.2? k Let f = 73/830 - 81/166. Which is the second biggest value? (a) -4 (b) 5 (c) f (d) 5/2 (e) 6 b Let m(w) = -36*w**2 + 18*w + 34. Let k be m(-2). Which is the third biggest value? (a) 0 (b) k (c) 0.4 (d) -5 (e) -4 e Let y = -43.83 + 43.83. What is the second biggest value in y, 0.1, -0.19? y Let j = 31 - 31. Let l be (-2)/(-1) - (-2 - j). Let f = -75 + 74.8. What is the third smallest value in f, l, 2, -0.5? 2 Let z = 7.477 + -3.477. Which is the third smallest value? (a) z (b) -2/5 (c) -46 a Suppose -7*f + 15 = -20. Suppose f*j = -157 + 167. Which is the smallest value? (a) 3/7 (b) -61 (c) j b Suppose 0 = 2*v, -r - r + 710 = 4*v. Let u = 70 - r. Let g = -3701/13 - u. Which is the second smallest value? (a) 1/5 (b) -2/7 (c) g (d) -5 b Let h = 50 - 15. Let w = 68 - h. Let x(s) = -2*s**2 - 6*s - 1. Let q be x(-2). Which is the third biggest value? (a) w (b) 2/21 (c) q (d) 0.1 d Let n be -7 + (1 - (0 - -4 - (-118)/(-12))). What is the biggest value in 7053, n, -3? 7053 Let n = -0.019 + -0.981. Let g = 16 + -29. Let j = g + 12.8. Which is the second smallest value? (a) -4 (b) n (c) 2/17 (d) j b Suppose -x + 7 = 2. Suppose 3*p + 25 = -2*t, x*p + 24 = -2*t - 11. What is the second biggest value in -12, p, 0.04? p Let x = -3464 - -3469. What is the third smallest value in -11, -107, x? x Suppose 3*g + 8 = -p, 2*p + 19 = -4*g + 7. Suppose 3*i - 24 = -5*i. Let m be 1/(-5) + 66/(-70). What is the fourth biggest value in i, p, -2/3, m? p Let j be 7 + 2 + 4 + -15. Let z = -34.8 - -35. What is the biggest value in 8, -1/4, j, z? 8 Let u = 79 + -22. Let w = u + -56.8. Let y = 877/8 + -110. Which is the biggest value? (a) -0.8 (b) w (c) y b Let i = -15231 + 15232. What is the third biggest value in i, 24, -0.1? -0.1 Let p = -2026 - -2027. Let y = -11 + 8. Which is the second biggest value? (a) y (b) -0.3 (c) p (d) 2/53 d Let v be 204/18 + -48 + 37. What is the third smallest value in -5, 0.12, v, 0.2? 0.2 Let
{ "pile_set_name": "DM Mathematics" }
creasing order. -4, r, 0.1, 1/5 Let l = 9 + 64. Let w = l + -76. Sort -20, w, 1/2. -20, w, 1/2 Suppose 8*v + 24 = 4*v. Let u be (3 - 1)*v/20. Suppose -4*f + 4 = -0*f. Put f, 0.2, u in increasing order. u, 0.2, f Suppose 0 = -p + 2, 4*h + 64 = -5*p + 3*p. Let s = -14 - h. Put 5, 1, s in descending order. 5, s, 1 Let r = -1118 + 1121. Sort -2, 2, r, 29 in decreasing order. 29, r, 2, -2 Let z(j) be the first derivative of -j**2/2 + 10. Let q be z(-4). Suppose -q*d + 2*y = -8*d + 6, -2*y = -10. Sort d, 3, 0 in descending order. 3, 0, d Let i(x) = -x**3 + 8*x**2 + 8*x + 9. Let b be i(9). Let l be (-3)/(-3) + 3 + -1. Let c = 0 + l. Sort -5, b, c. -5, b, c Let l(v) = -v**3 - v**2 - 4*v - 3. Let i be l(-3). Suppose -i = -3*d - 4*f + 8, -3*f + 10 = -d. Let p = -6.3 + 5. Put 0, d, p in descending order. d, 0, p Let h(y) = y**3 + 3*y**2 - 5*y - 4. Let c be h(-4). Let z = -5 - -4. Put c, -5, z in decreasing order. c, z, -5 Let s = 0.0209 - 0.3209. Sort 1, 10, s, 4. s, 1, 4, 10 Let i(d) = 15*d**2 - d - 1. Let m be i(-1). Let l = 77/5 - m. Let k = -35.45 + 34.85. Sort l, k, 0.5 in increasing order. k, l, 0.5 Let y be 10/(-4) + 234/12. Suppose y*i - 23*i - 30 = 0. Sort i, -4/5, 0, -1 in descending order. 0, -4/5, -1, i Suppose -3*r - 5*j = -4, -2*r + 2 = j - 10. Let u(t) = t - 10. Let c be u(r). Sort c, 0.1, 3. c, 0.1, 3 Let w(o) = -2*o**2 - 59*o - 250. Let t be w(-5). Sort -3, 2, t, 12 in descending order. 12, 2, -3, t Let z = 16.82 + 0.18. Let t = z - 9. Let d be ((-6)/10)/(3/2). Sort t, d, 2/9. d, 2/9, t Let i(v) = v**3 + 12*v**2 + 35*v - 6. Let k be i(-6). Let j = 21 - 21.9. Let d = -0.5 - j. Sort -5, k, d in descending order. d, k, -5 Let d(s) = -3*s**2 + 26*s + 16. Let p be d(9). Let z be (50/4)/5*2. Put 2, 1, z, p in increasing order. 1, 2, z, p Let o(r) = 2*r**2 - r - 1. Let t be o(4). Suppose 28*g - t*g - 6 = 0. Sort g, 3, 4/3 in decreasing order. g, 3, 4/3 Let c = -92 - -81. Put 1, -5, -2, c in descending order. 1, -2, -5, c Let x = -335 - -331. Put -5, x, 23 in increasing order. -5, x, 23 Let p be (-21)/(-18)*4/21. Suppose 0 = -3*l - 4*r - 14, -27 = -0*l + 5*l + 3*r. Let i be (6/22)/(9/l). Put p, -3, i in decreasing order. p, i, -3 Suppose -2*c + 3*s = 17, -4*c + s + 2*s = 25. Let y be (2 - 3)/(1/c). Suppose -3*r + y*k + 24 = 0, 5*r - k + 5*k = 40. Put 5, r, -1 in ascending order. -1, 5, r Suppose 19*x - 24 = 11*x. Sort -8, 2, 0, x in decreasing order. x, 2, 0, -8 Let y(z) = -z**3 + 6*z**2 + 6*z + 13. Let x be y(6). Let t = x - 44. Put -1, -5, 2, t in increasing order. -5, -1, 2, t Suppose 2*p - 5 = -5*j, -11*p = -2*j - 7*p - 22. Sort 18, 1, 2, j. j, 1, 2, 18 Suppose 0 = -4*w + 20*l - 19*l + 12, 0 = w - 2*l + 4. Let j = -0.1 + 0.3. Let g = j - 0.1. Sort -2/23, w, g in increasing order. -2/23, g, w Let g = -815 - -812. Suppose a + 18 = 5*j - a, -3*a = -5*j + 17. Suppose -4*b + 2*b = -3*p + 15, 2*b + 20 = j*p. Sort -4, g, b in decreasing order. b, g, -4 Let l = 6 - 7.4. Let q = -0.9 - l. Let k be (2 + -1)/(5 - -1). Sort q, -6, k in increasing order. -6, k, q Suppose -2*d + 3*d = -4. Suppose 0 = -3*c - 2*p - 21, 4*c - 3*p + 23 = -4*p. Suppose -3 = 4*l - 7. Put c, d, l in decreasing order. l, d, c Let s = 16 + -46. Let g = 34 + s. Put g, -5, -2 in ascending order. -5, -2, g Suppose -3*z = 4*q - 3*q + 4, 2*q = -z - 3. Let c(o) = -o**3 + 15*o**2 + 15*o + 21. Let g be c(16). Sort z, 3, g in ascending order. z, 3, g Let f(y) = -3*y - 2. Let p be 2/7 - (-1)/(35/(-10)). Let s be f(p). Put s, 0, -1 in descending order. 0, -1, s Suppose -i - i + 3*c - 8 = 0, -i = -c + 3. Sort 5, i, 0 in descending order. 5, 0, i Let g = 13.06 + -0.06. Let k = g + -10. Sort k, -1, -2 in ascending order. -2, -1, k Suppose 28*f - 32*f = 4*w - 8, -4*f = 4. Put 0, w, -6, -3 in ascending order. -6, -3, 0, w Let n = 745.7 - 747. Sort -0.3, n, -0.5, 2 in descending order. 2, -0.3, -0.5, n Let k = -1.1 - -1. Let c = -37.25 + 35. Let q = -0.25 - c. Put k, q, 1 in descending order. q, 1, k Let f = -143 - -147. Suppose 0 = 2*g - n + 7, 0*n + f = g - 2*n. Sort 4, -5, 5, g in ascending order. g, -5, 4, 5 Suppose -434*n + 451*n - 68 = 0. Let z = -2 - -5. Sort -7/4, n, z. -7/4, z, n Let u = 353/9 + -39. Put 0, u, -1.2, 4/5 in descending order. 4/5, u, 0, -1.2 Let r = -18 + 2. Let z = r - -20. Suppose -z = -2*q - 0. Put 5, q, 4 in decreasing order. 5, 4, q Suppose -32 = -25*f + 17*f. Sort -3, -2, 7, f in decreasing order. 7, f, -2, -3 Suppose -11 = 3*b + 4*r, -2*b - 4*r + 3 - 17 = 0. Let a be 2/(3 - (3 + (b - 12))). Sort 0.1, a, -0.04 in ascending order. -0.04, 0.1, a Let t be ((-12)/(-15))/(2/5). Let i = t - 7. Let a be (-1)/(-2*1/10). Sort -1, i, a in descending order. a, -1, i Let p be ((-13)/3 - -4)*15. Sort p, -9, 2. -9, p, 2 Suppose -12*p - 6*p = -54. Sort p, -4, -2, 10 in descending order. 10, p, -2, -4 Let u(b) = b**3 - 3*b**2 + 3*b - 1. Let h be u(2). Suppose 38 = 5*z - r + 285, -3*r - 109 = 2*z. Let n = 55 + z. Sort n, -2, h in descending order. n, h, -2 Let h be 2/(-6) - (-50)/15. Let n = 6 - 5. Sort h, n, -1 in decreasing order. h, n, -1 Let z = 4.0296 + -0.0296. Sort -2/35, z, 0.1 in ascending order. -2/35, 0.1, z Suppose -15 = 113*i - 108*i. Sort i, -4, 7 in decreasing order. 7, i, -4 Let p = -112/117 - -10/9. Put p, 30, -1 in decreasing order. 30, p, -1 Let l = 1.07 + -1.37. Let s = 1 - 8. Sort s, l, -0.5 in ascending order. s, -0.5, l Let z = 4.255 + 0.745. Sort z, -1/6, 1/3, 0.4 in ascending order. -1/6, 1/3, 0.4, z Suppose 3*p - 2*z = -7*z + 25, -4*p - 5*z + 25 = 0. Let j(q) = -q - 2. Let w be j(-1). Let r = w - 1. Sort r, p, 3 in increasing order. r, p, 3 Let p = -1.23 + 0.39. Let f = 0.16 - p. Put f, 4, 5 in decreasing order. 5, 4, f Let d = -14 + 13. Let s be 6/(-4)*(-96)/(-36). Let f be ((-1)/3)/(s/(-36)). Sort f, -6, d in decreasing order. d, f, -6 Let o = 621 - 616. Sort 124, o, 0 in descending order. 124, o, 0 Let l = -22.95 + -0.05. Let g = 31 - 36. Put 0, l, g in increasing order. l, g, 0 Suppose 0 = 6*g - 5*g - 11. Suppose o = z + 3, 0 = -2*o - 4*z + g + 1. Suppose 0 = -8*p + o*p. Sort -2/7, -4, p. -4, -2/7, p Let w be (12/(-9) + (-1)/(-1))*-15. Let h(g) = 2*g**2. Let n be h(-1). Sort w, 1, 4, n. 1, n, 4, w Let j = -53 - -229. Let r = j + -1234/7. Let q be (-1)/(5*-1) - 0. Put r, 5, q in ascending order. r, q, 5 Let h = 3 + 0. Suppose 2*f - h = 1. Let a = -6 - -10. Sort a, f, -3 in increasing order. -3, f, a Let d = 5711/7 + -816. Sort 53, 1, d, -1/6 in descending order. 53, 1, d, -1/6 Let v(t) = -t**2 - 2*t + 13. Let o be v(-4). Let n(z) = 2*z**2 - 6*z + 4. Let j be n(5). Sort -5, o, j, 1. -5, 1, o, j Let h = -2003 - -2002.5. Let p = -485 + 7763/16. Let d = 0.3 - -2.7. Sort p, h, d in descending order. d, p, h Let l be 2/(-9) - 60/(-27). Let x be (-15)/(-300) - l/8. Put -4, x, 1 in increasing order. -4, x, 1 Suppose 3197*c - 3207*c + 10 = 0. Suppose 0*f = -5*f + 15. Let z be f/(-2 - (-22)/8). Sort z, c, 9. c, z, 9 Let m = 10 + -7. Let y be (-2)/(-4)*2*m. Suppose -y*x - 20 = -5. Put 4, x, 0 in decreasing order. 4, 0, x Let z(g) = 5 - 4 + 6 + 7*g - 2*g - g**2. Suppose -q = 5*q - 36. Let x be z(q). Sort x, 2, 5. x, 2, 5 Let q = 471.2 + -471. Sort 0.4, q, 2, 7 in ascending order. q, 0.4, 2, 7 Let a = -2 + 2. Let n(c) be the first derivative of c**2/2 - 9*c - 19. Let p be n(14). Put a, -0.04, p in decreasing order. p, a, -0.04 Let f = 856.9 + -857. Put 24, -0.4, f, -3 in descending order. 24, f, -0.4, -3 Let t(s) = -s**3 + 4*s**2 + 2*s - 6. Let l = 33 - 29. Let i be t(l). Let x = 15 + -10. Sort x, 6, i. i, x, 6 Let l be (-24)/14 - -1*2. Let r = 0.01 + 3.59. Let q = r + -1.6. Sort 2/15, l, q in descending order. q, l, 2/15 Let d = -20716/5 - -1740569/420. Let x = -9/28 - d. Sort 1/12, 1/7, x in descending order. 1/7, 1/12, x Let c be ((-15)/(-12))/((-3)/(-48)). Let h be 1/(-5) - (-14)/c. Let d = -0.8 - 4.2. Sort d, 2/15, h in descending order. h, 2/15, d Suppose 10 = w + w + 2*a, 15 = -3*w + 3*a. Suppose -u + k = 1, u - 9 = -w*k - k. Put -11, u, -2 in decreasing order. u, -2, -11 Let f = 90 - -9. Let w = -95 + f. Let h = 2.01 + -0.01. Sort 3/4, h, w in descending order. w, h, 3/4 Let p = 0.103 - 29.103. Put p, -0.1, 0.2 in descending order. 0.2, -0.1, p Let l = -18 + 23. Let v(m) = 4*m**3 + l - 1 - 3. Let a be v(1). Sort -1, a, -4 in increasing order. -4, -1, a Let
{ "pile_set_name": "DM Mathematics" }
n + 135. Let k(z) = 5*a(z) - 2*d(z). Determine w so that k(w) = 0. -1, 43 Let n(v) = 5*v**2 + 1426*v + 576. Let p(y) = -18*y**2 - 4276*y - 1728. Let t(m) = 16*n(m) + 5*p(m). Factor t(c). -2*(c - 144)*(5*c + 2) Let j(l) = -4*l**3 + 29*l**2 + 36*l + 6. Let a(x) = -20*x**3 + 148*x**2 + 184*x + 32. Let w(h) = 3*a(h) - 16*j(h). Let w(m) = 0. Calculate m. -1, 0, 6 Let s(g) = g**2 - 2. Let b(j) = 2*j**2 - 218*j + 112. Let u(p) = b(p) + 2*s(p). Determine o, given that u(o) = 0. 1/2, 54 Factor -7678/5*z - 2/5*z**3 - 3842/5*z**2 - 3838/5. -2*(z + 1)**2*(z + 1919)/5 Let h(p) = -49*p**2 - 1133*p + 5798. Let k(c) = -23*c**2 - 566*c + 2901. Let l(g) = 6*h(g) - 13*k(g). Solve l(y) = 0 for y. -117, 5 Let y(i) = -i**5 - 4*i**4 - i**2 + 2. Let s(x) = -99*x**5 + 91*x**4 + 515*x**3 + 458*x**2 + 127*x. Let t(f) = s(f) + 3*y(f). Let t(j) = 0. Calculate j. -1, -2/3, -1/2, -1/17, 3 Let v(i) be the second derivative of 0 + 7/3*i**3 - 15*i + 0*i**4 + 1/1260*i**6 + 1/210*i**5 + 0*i**2. Let s(p) be the second derivative of v(p). Factor s(z). 2*z*(z + 2)/7 Suppose -16*f + 14 = -2. Suppose -83*a + a**2 + 165*a - 2 - 84*a - f = 0. What is a? -1, 3 Let w be 360/150 - (-4 + 8)/(2 + 8). Solve -2/3*u**4 + 2*u - 2*u**3 + 0 + 2/3*u**w = 0. -3, -1, 0, 1 Suppose 6 = -5*j + 5*i - 9, j - 1 = -3*i. Let s be (-276)/(-506) - j/(-165)*12. Factor -36/5*u + s*u**2 + 162/5. 2*(u - 9)**2/5 Let v(c) be the first derivative of -1/6*c**2 - 51 - 2*c + 1/9*c**3. What is k in v(k) = 0? -2, 3 Let q be (-4 - (-6)/2)/(5/(-15)). Solve 30*o**2 + 16*o + o**2 - 75*o**2 + 8*o**q + 20 = 0. -1/2, 1, 5 Let x = 1121958 + -286097936/255. Let t = x + -62/15. Suppose -t - 10/17*g**2 - 54/17*g = 0. Calculate g. -5, -2/5 Factor 97/4*m - 1/4*m**2 - 1/4*m**3 + 385/4. -(m - 11)*(m + 5)*(m + 7)/4 Suppose -4118*i = 3*q - 4113*i - 165, -55 = -q - 4*i. Solve -10/3*z**2 + q*z + 85/3 = 0 for z. -1/2, 17 Let c = -7/117051 + 117079/468204. Factor -15/4*w**2 + c*w**3 + 0 + 9*w. w*(w - 12)*(w - 3)/4 Suppose -1600*p + 5360 = -2640. Factor -8*z + 14*z**2 + 0 + 1/2*z**p - 6*z**3 - 1/2*z**4. z*(z - 2)**2*(z - 1)*(z + 4)/2 Suppose -93*j = -117*j + 120. Let p be ((-104)/48 + 3)/j. Factor -8/3 - 4/3*r - p*r**2. -(r + 4)**2/6 Determine q so that -2/9*q + 2/9*q**3 - 12*q**2 + 12 = 0. -1, 1, 54 Factor 3/8*n**2 + 69/4*n + 387/8. 3*(n + 3)*(n + 43)/8 Factor 169*g**2 + 12*g**3 - 14*g**3 - 57*g**2 + 16*g - 49*g**2 - 61*g**2 - 24. -2*(g - 2)**2*(g + 3) Let f be 25/(-600)*21*(512/(-280) - (-10)/25). Suppose -f*d**5 + 5 + 10*d - 25/4*d**4 - 35/4*d**3 + 5/4*d**2 = 0. What is d? -2, -1, 1 Factor -16*c**4 - 4*c**5 + 132 - 62*c**2 - 10*c**2 - 24 - 595*c**3 + 491*c**3 + 108*c - 20*c**4. -4*(c - 1)*(c + 1)*(c + 3)**3 Let g be ((-21774)/(-30))/(5/(-2) + 3). Let x = g - 1451. Factor -x*u**3 - 12/5 + 12/5*u**2 + 3/5*u. -3*(u - 4)*(u - 1)*(u + 1)/5 Let q(c) be the second derivative of 3*c**5/20 - 49*c**4/2 + 1040*c**3 + 24336*c**2 + 4075*c. Solve q(t) = 0 for t. -6, 52 Suppose 3*s = 11 + 79. Suppose -28 + 12 = n - 5*x, 3*x = 12. Determine m, given that 4*m**4 + 100*m - n*m**3 - s*m - 4*m**2 - 32*m - 34*m = 0. -1, 0, 1 Find a, given that -1728/7 - 60/7*a**2 + 576/7*a + 2/7*a**3 = 0. 6, 12 Let k be (-5)/(-1) + 141 + -2. Let d = -99 + k. Suppose 90*y**4 + 35*y**3 + d*y - 2 + 2 - 95*y**4 - 75*y**2 = 0. Calculate y. 0, 1, 3 Suppose -2*n = -1 + 25. Let i be n/9 + 10/3. Determine f, given that 3*f**3 - 8*f**3 - f**i - 4*f**2 + 0*f**3 = 0. -1, 0 Let a(p) be the second derivative of 11*p**7/441 + 31*p**6/105 + 97*p**5/105 - p**4/7 - 205*p**3/63 - 25*p**2/7 + 2133*p. Determine w, given that a(w) = 0. -5, -3, -1, -5/11, 1 Let t be (0 - 4 - -1)/1 - -5. Let h = 9 - 5. Factor q**3 + t*q**4 + q**3 + 4*q**3 - 3*q**5 + q**h. -3*q**3*(q - 2)*(q + 1) Suppose -46*x - 6 = -48*x. Suppose x*o = -2*s + 7, 5*o - 5 = -5*s + 5. Let 0*h - 2/15*h**o + 0 - 4/15*h**2 + 2/5*h**4 = 0. What is h? -2/3, 0, 1 Let n(g) be the third derivative of -17*g**2 - 1/12*g**5 - 95/12*g**4 - 185/6*g**3 + 0 - 5*g. Factor n(l). -5*(l + 1)*(l + 37) Let z(o) be the first derivative of -5*o**6/3 - 256*o**5/5 + 327*o**4/2 - 500*o**3/3 + 56*o**2 - 3599. Find a, given that z(a) = 0. -28, 0, 2/5, 1 Solve 2/9*i + 1/9*i**4 + 4/9*i**3 + 0 + 5/9*i**2 = 0. -2, -1, 0 Let x(i) be the second derivative of i**4/138 + 73*i**3/23 + 10*i - 51. Suppose x(v) = 0. Calculate v. -219, 0 Suppose -3 + 17 = 7*d. Find a such that 4*a**4 + 234*a + 32*a**d + 15*a**3 + 5*a**3 - 218*a = 0. -2, -1, 0 Let c(n) be the first derivative of -n**5/10 - 53*n**4/16 - 75*n**3/2 - 1309*n**2/8 - 605*n/2 + 4647. Let c(x) = 0. Calculate x. -11, -5/2, -2 Let m(a) be the second derivative of a**5/140 + 11*a**4/84 - 76*a**3/21 - 7089*a. Find c, given that m(c) = 0. -19, 0, 8 Let z(n) = -n**2 - 47*n + 1431. Let c be z(-68). Factor 2/9*g - 2/9*g**c + 4/9 - 4/9*g**2. -2*(g - 1)*(g + 1)*(g + 2)/9 Factor -770/3*o + 1160/3*o**2 + 64 - 260*o**3 + 200/3*o**4 - 2/3*o**5. -2*(o - 96)*(o - 1)**4/3 Let n(w) be the second derivative of -w**6/75 - w**5/5 + 23*w**4/6 - 16*w**3/3 - 204*w**2/5 + 2*w - 169. Suppose n(y) = 0. What is y? -17, -1, 2, 6 Let n be 5/40*74*4. Suppose 4*y + 5 = n. Factor 3 - y - p**2 + 3*p**2 + 3*p**2 + 20*p**3 - 20*p. 5*(p - 1)*(p + 1)*(4*p + 1) Let h(i) be the second derivative of -2*i**7/315 - i**6/75 + 2*i**5/25 + 7*i**4/90 - 2*i**3/15 - 80*i + 9. Suppose h(o) = 0. Calculate o. -3, -1, 0, 1/2, 2 Let w = -449 - -447. Let c(o) = 3*o**3 + 38*o**2 - 129*o + 98. Let z(h) = -21*h**3 - 267*h**2 + 903*h - 690. Let x(r) = w*z(r) - 15*c(r). Factor x(n). -3*(n - 2)*(n - 1)*(n + 15) Let a(c) be the third derivative of -c**6/300 + 37*c**5/150 - 104*c**4/15 + 256*c**3/3 + 76*c**2 - 6*c. Factor a(o). -2*(o - 16)**2*(o - 5)/5 Let c(r) = -2*r**3 - 63*r**2 - 28*r + 95. Let k be c(-31). Let b(x) = 56*x**2 - 46*x. Let g(v) = 2*v**3 + 2*v**2 + v. Let d(l) = k*g(l) - b(l). Factor d(p). 4*p*(p - 12)*(p - 1) Let j(s) = -s**4 + 8*s**3 + 17*s**2 + 6*s. Let i = -76 + 74. Let y(n) = -n**3 - n**2 + n. Let d(a) = i*y(a) - j(a). Suppose d(h) = 0. What is h? -1, 0, 8 Suppose 4*d - 6 = 14. Let g be 52/(-130) + (-124)/(-10) + -1. Determine j, given that d*j**5 - 13*j**4 + g*j**4 + 29*j**4 + 40*j**3 + 20*j**2 - 2*j**4 = 0. -2, -1, 0 Suppose 5*b = -5*l + 140, 19 = -4*l + 4*b + 99. Find i, given that 562 - 12*i**2 + 16*i**2 - l*i + 222 + 136*i = 0. -14 Suppose -151*w + 154*w = 162. Factor 4*u**3 - 225 - w*u**3 + 1548*u**2 + 5*u**4 - 1408*u**2 - 28*u - 2*u. 5*(u - 5)*(u - 3)**2*(u + 1) Find k such that 0*k + 1/5*k**2 + 17/10*k**4 + 19/10*k**3 + 0 = 0. -1, -2/17, 0 Let q = -201779/780 + 139/156. Let v = q + 261. Solve -32/5*r + 16/5 - 108/5*r**2 - 76/5*r**3 - v*r**4 = 0 for r. -2, -1, 1/4 Suppose 9*k = -4*k + 858. Let z be (-6)/k*-2 + 97/11. Factor -z*r**3 + 2 + 14*r**3 - 2. 5*r**3 Let s = -370397/4 + 92600. Find x such that -s*x**3 - 1/4*x**2 - 1/4*x**5 - 3/4*x**4 + 0 + 0*x = 0. -1, 0 Let p(c) be the second derivative of 0*c**2 - 1/30*c**6 + 226*c + 0*c**4 + 3/4*c**5 + 0 + 0*c**3. Determine x so that p(x) = 0. 0, 15 Let m be (-2)/((-18)/5) + (-52)/(-117). Let a(x) = 4*x**2 - 7*x - 6. Let q(w) = 2*w**2 - w + 2. Let j(z) = m*q(z) - a(z). Find y, given that j(y) = 0. -1, 4 Factor -15*l**5 + 6594*l**4 - 90363*l**2 - 200037*l**2 - 778796*l**3 + 55436*l**3 - 53*l + 53*l. -3*l**2*(l - 220)**2*(5*l + 2) Let f(l) be the third derivative of l**6/60 - l**5/6 - 25*l**4/6 - 139*l**2 - 2*l. Determine g so that f(g) = 0. -5, 0, 10 Let i(z) = z**2 + 19*z + 73. Let r be i(-14). Let j(k) be the first derivative of -7 + 2/3*k**r + k**2 - 4*k. Suppose j(n) = 0. What is n? -2, 1 Factor 63 + 496*j + 92 + 100 + 164 + 4*j**3 + 253 + 88*j**2. 4*(j + 2)*(j + 6)*(j + 14) Let q = 882 + -879. Find x, given that 49 + 451 - 6*x**q + 105*x**2 + 600*x + 9*x**3 + 2*x**3 = 0. -10, -1 Solve -109*i - 3*i**3 + 11*i**2 + 240 - i**3 - 11*i**2 + 285*i + 20*i**2 = 0 for i. -3, -2, 10 Let b(t) be the second derivative of -2/15*t**4 - 1/30*t**3 - 4*t + 1/100*t**5 + 4/5*t**2 - 3. Factor b(a). (a - 8)*(a - 1)*(a + 1)/5 Let f(s) be the second derivative of 0*s**2 + 7/45*s**7 + 3/25*s**5 - 119/225*s**6 + 8/45*s**3 - 36*s + 0 + 22/45*s**4. Suppose f(g) = 0. Calculate g. -2/7, 0, 1, 2 Suppose 5*d = -5, -5 = 3*g - 2*d + 11. Let h be 8/(-48) - g/4. Let 4/3 - h*i**2 - 2*i = 0. Calculate i. -2, 1/2 Let x(f) be the second de
{ "pile_set_name": "DM Mathematics" }
e -8*u = -u + 483. Let s = u + -12. Let o = -66 - s. Solve 0*m + o = -5*m for m. -3 Let w(j) = 94 - 41*j**2 + 12*j**2 + 5*j - 90. Let o be w(-1). Let r = o - -33. Solve 5 = -2*z - r*z for z. -1 Let t be 102/30 - (2 - 24/15). Let i(l) = 3*l + 2*l - 5 - t*l**2 - 2*l**2 + l**2 + 2*l**3. Let g be i(2). Solve -4 = -g*x + x for x. 1 Let w(j) = -j**3 + 28*j**2 + 161*j + 132. Let x be w(33). Solve x = 6*r - 8 - 10 for r. 3 Suppose 4*q - 12*v + 37 - 121 = 0, -4*v - 28 = 0. Solve q = -32*r - 234 + 10 for r. -7 Let f be -4 + 272/80 + (-116)/(-10). Solve f*h - 21 = -10 for h. 1 Let m(j) = -3*j + 25 + 16 + 7 + 4*j. Let h be m(-44). Solve 5*r - h = 1 for r. 1 Let b = -15 + -7. Let f be 14*(-24)/(-33) - (-4)/b. Suppose -f*z = -21*z + 33. Solve -l = z + 2 for l. -5 Let y be (222/259)/(3/70). Solve 0 = -2*j - y + 12 for j. -4 Suppose -3*l + 5*t = 7*t - 575, -7*t + 160 = l. Solve 25*n - l = -14*n for n. 5 Let y be ((-3)/6)/((-1)/6). Suppose -y*p + 11 = -13. Suppose 130 = -27*m + 454. Solve 4*t - p*t + m = 0 for t. 3 Let z(o) = o**2 - 58*o - 583. Let r be z(67). Solve 17*h - r = 27*h for h. -2 Suppose 298*j + 89*j = 154413. Solve -c + 58*c = -j for c. -7 Let b(d) = 4*d - 1. Let h be b(3). Let l(r) = -2*r**3 - 4*r**2 - 8*r - 6. Let a be l(-2). Solve 16*g - h*g = -a for g. -2 Let k = 1470 - 1442. Solve -k*r + 34*r = 6 for r. 1 Suppose 0 = -28*j + 24 + 21 + 39. Solve 0 = -11*t + 14 - j for t. 1 Let n be ((-39)/2)/(4/((-96)/(-18))). Let h = 23 + n. Let j be (6/h - -8) + -2. Solve 0 = -7*d + j*d + 12 for d. 4 Let n = -143 + 445. Let s = -299 + n. Suppose 3*z - 10 = -4. Solve -s - z = 5*o for o. -1 Suppose 3*q - 2849 = d, 3*q + 311*d - 316*d = 2869. Solve -898 + q = 10*g for g. 5 Let y be (28/8)/(4/(-24)*-3). Solve 4*r = y*r - 12 for r. 4 Let x(u) = -4*u + 13. Let l(k) = -10*k + 38. Let h(r) = 5*l(r) - 14*x(r). Let q be h(3). Solve -2*t = -34 + q for t. 4 Suppose -5*j + 97 + 193 = 0. Suppose 53*g - j*g = -30. Let b(v) = 7*v. Let m be b(1). Solve 4 = g*y - m*y for y. -4 Let s(z) = 2*z**2 - 4*z - 1. Let d be s(3). Suppose -2*b = 4*w - 22, -d*w = 5*b - b - 44. Let m = -49 + 54. Solve 9 + b = -m*a for a. -4 Let b(x) = -2*x. Let u be b(0). Let w(p) = p**2 - 2. Let n be w(2). Let g = 2 + n. Solve -2*f + u*f = g for f. -2 Let y(w) = -w**2 + 96*w - 1084. Let s be y(14). Solve s*d = 53*d + 33 for d. 3 Suppose 8016 + 5424 = 160*r. Solve r = -14*t - 0 for t. -6 Let j = 74 - 70. Let o = -33 - -48. Suppose b + o = j*b. Solve 3*w + b = -2*w for w. -1 Suppose -v + 37 = -3*x + x, 5*x - 20 = 0. Let y = 57 - v. Suppose -175*w = -178*w + y. Solve w*q = 6 - 2 for q. 1 Let n be 4/(((-4)/9)/2). Let w be (104/(-6))/(n/27). Suppose 0*f + w = 2*f + 5*c, 3*f - 5*c = 14. Solve 7*a - f = 9*a for a. -4 Let u be 1/(261/(-938) - 30/(-105)). Solve 0 = -u*s + 118*s + 144 for s. 9 Let c(q) = -q**2 - 7*q - 9. Let a be c(-5). Suppose 4*p - h = 35, 2*p + 2*h - a = 9. Suppose -p*b - 9*b = -0*b. Solve 1 + b = -t for t. -1 Let x(t) = 536*t + 3788. Let g be x(-7). Solve 0 = 13*p - 4*p + g for p. -4 Suppose 323*y - 289*y - 1564 = 0. Solve 2*t + y = 36 for t. -5 Let v(z) = -z**3 + z - 2. Let c be v(-2). Let t = 2599 + -2595. Suppose -t*n + 26 = 2*w, c*n = -w - 4*w + 35. Solve l + 2 = w*l for l. 1 Let f be (1512/(-280))/(9/(-15)). Solve -f*p + 12 = -6*p for p. 4 Let j(y) = -9*y - 168. Let a be (-3 + 1)/((-10)/(-95)). Let q be j(a). Solve q*c + 5 - 20 = 0 for c. 5 Suppose -4*a + a = 3, 3*n + 65 = -2*a. Let c be 7/(n/12) + 2 + 2. Solve c = 5*i + 3 + 2 for i. -1 Let c = -19 + 23. Suppose d - 3*d + c = 0. Suppose 5*u - 2 = d*i, 0*i = 5*u + 4*i + 4. Solve 0 = -2*f + 4 - u for f. 2 Suppose -15*c + 18*c = -15. Let w be (c/(-2))/(40/32). Let a = -5 - -9. Solve -a*q - 6 = -w for q. -1 Suppose 7 - 25 = -2*m. Suppose -d = m*d - 30. Solve -16 = -d*y - y for y. 4 Let k be ((-310)/(-50) + -5)*30. Solve 0 = k*i + 74 - 2 for i. -2 Let b(q) = q**2 - 11*q - 3566. Let o be b(-55). Solve 12*p + o = 4*p for p. -8 Suppose 321*c = 313*c + 48. Solve 0 = c*u - 12 - 30 for u. 7 Let a(k) = k**3 + 3*k**2 - 4*k - 2. Let r be a(-3). Let z be (105/7 - 8)/(-1 - -2). Suppose -20 = -z*v - 20. Solve v = 5*w - 0*w - r for w. 2 Suppose 29408 = 6*n + 29342. Solve n*c - 6 = 5 for c. 1 Suppose 25*y = 1123 + 3102 + 75. Solve -41*h - y = 2*h for h. -4 Let t be 45/(-5) - -7 - -4. Suppose 9 - 44 = -t*j + 5*i, -j - 5*i - 20 = 0. Solve j*p = 13 + 7 for p. 4 Let b(z) = -1012*z**2 + 6*z - 4*z - 4 + 1013*z**2. Let m be b(-4). Let n(j) = -j - 2. Let a be n(-4). Solve -m*f - 6 = -a*f for f. -3 Suppose -5*l + 95 = -108*n + 111*n, 3 = 3*l. Solve -23*d - n = -13*d for d. -3 Suppose -o = -5*s - 3*o + 13, -5*o = -20. Let d = 322 + -246. Suppose -j - 73 = -d. Solve s = j*z - 5 for z. 2 Let h(n) = -15 + 34 + 7 + 11*n + 17*n**2 - 7. Let r be h(-2). Solve r*m = 62*m + 12 for m. 4 Let s(z) = -7*z - 35. Let g be s(-5). Suppose 0 = n - w + 5, 2*w = 5*n - 2*w + 24. Let u be (-1)/((-44)/(-12) + n). Solve g*b - u*b = 3 for b. -1 Let i(d) = -15*d + 43. Let g be i(3). Let v be (g - 1)*(-7)/21. Solve 5*z - v - 24 = 0 for z. 5 Let q be ((-264)/45 + 2/(-15))/(-2). Let w(b) = 2*b**3 - 3*b**2 + 6*b - 5. Let g be w(3). Let a = 44 - g. Solve -a*p + 17 = -q for p. 5 Suppose 6*t = -3*t - 198. Let r = t + 20. Let h be (r + 1)/(1/(-2)). Solve -6*x + 16 = -h*x for x. 4 Let s(r) = -4*r - 2. Let w be s(-3). Suppose -j + w = -2*i - 0, 0 = i + 5. Solve 0 = -2*z - j*z - 8 for z. -4 Let x = -483 - -532. Suppose -2*c = -57 + x. Solve 3*o - 19 + c = 0 for o. 5 Suppose 7*a - 8*a + k - 3 = 0, -k = 5*a - 9. Let m be (-54 + 54)/(4 - a). Solve 4*r - 3*r + 5 = m for r. -5 Suppose -p + 4*s + 70 = 0, -22*p - 5*s - 346 = -26*p. Solve -64 = -10*w - p for w. -3 Let h(u) = -13*u + 407. Let m be h(18). Solve 176*b = m*b - 9 for b. -3 Let s be 7/3 + (-210)/(-45) - 2. Solve -27*n + 96 = s*n for n. 3 Let v be (((-64)/12)/4)/((-16)/60) - -9. Solve 23 = 3*o + v for o. 3 Let c be 70/(-15)*5/((-15)/9). Suppose x + 3*f = 7 + c, -2*x - 4*f + 36 = 0. Solve -8*p + 5*p - x = 0 for p. -4 Suppose 5*j - 39*o + 42*o - 116 = 0, -3*o = 2*j - 50. Solve -j = -105*q + 116*q for q. -2 Suppose -2*o + 4*a = 316, -3*o = -0*o - 5*a + 470. Let i = -148 - o. Solve 3 = -i*w - 7 for w. -5 Let b(s) = -s**3 + 24*s**2 + 6*s - 30. Let z be b(24). Let x be ((-120)/(-14))/(z/532). Solve -12*f = -2*f - x for f. 4 Suppose -2*f = 3*g + 34, -f - 6 = g + 9. Let q(l) = l**2 + 12*l + 1. Let z be q(f). Let d be (-16)/z + (-2)/(-5). Solve d + 3 = -v for v. -5 Let r(b) = 2*b**3 - 3*b - 115 - 2*b - b**3 + 4*b**2 + 117. Let a be r(-5). Suppose 34 = 8*l + 2*t, 28 = l - 18*t + 23*t. Solve -l*c = a*c for c. 0 Let x be -9 + (63 - 66)/((-2)/1738). Solve x*a - 9 = 2607*a for a. -1 Let s = -117 + 117. Let p = 154 + -154. Solve s*g - g - 5 = p for g. -5 Suppose -12*n + 7*n + 60 = 0. Suppose 14*x - n*x = 0. Suppose x = -5*c + 75. Solve -c = -5*q + 5 for q. 4 Let f be ((-16)/3)/(-4)*72/32. Let x be (9/f - 3)*2/6. Solve x*c = -5*c - 25 for c. -5 Let m(r) = -r**2 - 13*r - 13. Let k(v) = 6*v - 100. Let o be k(16). Let g be m(o). Solve -9*n - g = -5 for n. -2 Let y(w) = 15*w - 48. Let o(n) = -5*n + 16. Let q(s) = -8*o(s) - 3*y(s). Let i be q(-5). Let g = i + -29. Solve -4*h - g = -4 for h. -2 Let p = 73 - 71. Suppose -11 = 6*b - 4*b - 5*u, 0 = b - p*u + 4. Suppose 0 = -o - 1, -b*m + 5*o + 10 + 5 = 0. Solve m*z - 2 = 3*z for z. 1 Suppose -3*s - 1888 = -m - 7*s, 3*s - 6 = 0. Solve m*t = 1874*t + 18 for t. 3 Suppose -7 = 4*s + 5. Let g be ((-40)/15 - s)*12. Let n(b) = b - 4. Let y be n(g). Solve y = -j - 4*j + 15 for j. 3 Let v be (8/12)/1*18. Suppose 8*w - 44 = v. Solve -4*n - 1 - w = 0 for n. -2 Let p = 323 - 195. Let n = 131 - p. Let j(c) = c**3 - 10*c**2 - 10*c - 3. Let z be j(11). Solve -z = -n*l + 7 for l. 5 Suppose 35*c - 352 = 1643. Solve 0 = -2*i + c - 59 for i. -1 Let c be ((-120)/42 + 2)*(-112)/6. Solve -10*x = 6*x + c for x. -1 Suppose 0 = -14*y + 109*y. Solve y = 11*r + 3 + 30 for r. -3 Suppose 55*u - 63 = 48*u. Suppose n - 39 = u*w - 13*w, 3*w = 2*n + 21. Solve -w*o = -5*o - 12 for o. 3 Let s(z) be the second derivative of -12*z - 5/6*z**3 - 1/2*z**2 + 0. Let m be s(-1). Solve -m = -c + 5*c for c. -1 Let w = 159 - 142. Suppose -p = -w + 6. Solve -p - 9 = -5*l for l. 4 Suppose -2*f + 127 = v, -20*f - 130 = -22*f - 2*v. Solve f*m - 70 = 48*m for m. 5 Let q(
{ "pile_set_name": "DM Mathematics" }
*p + 12. Solve -t - 1 = -w for t. 2 Let q be 148/12 - (-1)/(-3). Let z = q + -7. Solve 0 = -z*b - 0*b for b. 0 Suppose -6 = -5*r + v, 1 = -4*r - 6*v + v. Suppose a + 2 = -4*b, 0*a - 5*a - 5*b + 20 = 0. Solve r = y + a for y. -5 Let f be (-1 + 1)/(0 - 1). Suppose f = -a - a. Solve 0 = w - 5 - a for w. 5 Suppose 0 = -3*n - 2 + 35. Suppose 4*i + 4 = 0, 5*o - 4*i = 13 + n. Suppose 0 = -j - 4*j. Solve j = -4*k - o - 12 for k. -4 Let o be 4 + 1/(-2)*-2. Solve -o*t - 2 = 3 for t. -1 Suppose 1 + 5 = 2*r. Let c(p) = -3*p + 8 + p**3 - 2 - 2*p - 3. Let y be c(r). Solve -y = 4*i - i for i. -5 Suppose -i - 3 + 6 = 0. Suppose i*c + 26 = 4*c. Let l be (-2)/8 - c/(-8). Solve u - l*u = 0 for u. 0 Let i be -6*(33/(-9) + 3). Let m(h) = h**3. Let v(j) = -j**2 + 3*j + 5. Let d be v(4). Let w be m(d). Solve w + 11 = i*s for s. 3 Let m = -36 - -36. Solve m = 3*u - 5 + 17 for u. -4 Suppose 8*g + 20 = 12*g. Let n(m) = m**2 + 1. Let o be n(0). Solve g = -2*w + o for w. -2 Let y be 3 - (12/(-4))/(-3). Solve -y*q = -3*q for q. 0 Let n be 12/18*(-30)/(-4) - 3. Solve -2*p = n - 4 for p. 1 Let y be (-10)/(-4) + (-9)/(-6). Suppose 18 = y*p - 2*p. Let m = p - 4. Solve 5*a + m = -20 for a. -5 Suppose 32*v - 34*v = 0. Solve v = g - 1 - 1 for g. 2 Let n(a) = 4*a**2 - 3*a**2 + a - 5 - 2*a. Let s be n(-4). Suppose 5*j + b = 20, 4*j + 0*b + b - s = 0. Solve 0 = 2*r + 3*r + j for r. -1 Let s(j) be the second derivative of -j**4/12 + j**3 + j**2/2 - j. Let c be s(6). Let q = c - 1. Solve 0*z + 4*z - 20 = q for z. 5 Let n = 24 - 19. Solve -13 - 12 = n*p for p. -5 Suppose -5 = -u + 6. Let o(v) = -v - 2. Let c be o(7). Let t = c + u. Solve 0*g - t*g = -2 for g. 1 Let v(g) = -g + 4. Let u be v(6). Let f be (-1)/(u - 38/(-20)). Suppose 5*r + 2 = 22. Solve f = -z - r*z for z. -2 Let x = 14 + -11. Solve 0 = 2*u + u - x for u. 1 Suppose 4*d = 24 + 20. Let y = d - 8. Let m be (0/y)/(-3 - -5). Solve 0 = -c - m - 5 for c. -5 Let d(u) = u**2 + 3*u - 5. Let i be d(-5). Suppose 0 = i*x + 6*h - 2*h + 18, -3*h = -3*x. Let z be 0*(-3 - 5/x). Solve z*p + 3 = p for p. 3 Let s = 273 - 273. Let j(t) = t**2 - 4*t - 2. Let y be j(5). Solve s*k - y = 3*k for k. -1 Let t = 4 - 4. Suppose 4*u - 3*y - 18 = t, -u + 3*y + 1 = -8. Let k(z) = z + 1. Let l be k(u). Solve l = o - 5*o for o. -1 Suppose r + w = 2, -3*r + w + 6 = -2*w. Suppose -4*u - u + 2 = -v, 4*v + 8 = -r*u. Solve 6*j - 2*j = u for j. 0 Let i = 10 - 6. Let g = -6 + 6. Suppose -6*s = -2*s + 3*c - 48, g = -2*s + c + 14. Solve 0 = i*n - n + s for n. -3 Let k be (0 - -6)/((-24)/(-64)). Suppose k = 5*b - b. Suppose 4*a = 2*a + b. Solve 4*s = a*s + 8 for s. 4 Let k = 4 + -6. Let j = k + 5. Suppose j = -5*f + 33. Solve -f - 19 = 5*r for r. -5 Let f(s) = s**3 + 6*s**2 - 11*s + 6. Let i be f(-8). Let g = i - -59. Solve 3*p - g = -2*p for p. 5 Let g = -9 - -11. Suppose q - 4 = g. Let i = q - 1. Solve -3*f + 10 = -i for f. 5 Let s(o) = -o**3 - 3*o**2 + 7*o + 12. Let j be s(-5). Let r be (j/(-6))/((-1)/2). Solve 3*d + 0 = -r for d. -3 Let p(w) = w**3 - 5*w**2 - 9*w + 9. Let d be p(6). Let t be 1/(-2)*(d + 1). Solve -4*a + 16 = -t for a. 5 Let c(y) = y**3 + 7*y**2 + 6*y + 5. Let l be c(-6). Solve -l*m = 7 - 2 for m. -1 Suppose 2 = -2*b + 3*b. Suppose j - b*n = -6, 6 = -3*j + 3*n - 3. Solve j = 3*v - v for v. 0 Let v(d) = -d**3 + d**2 + 4*d - 3. Let l be v(3). Let x = -14 - l. Let q = x - -5. Solve 4*g + 0*g - 16 = q for g. 4 Suppose 9*g = 4*g. Solve g*x + 3*x + 15 = 0 for x. -5 Let z(g) = g**2 + 7*g - 5. Let d be z(-9). Let j = d - 11. Solve -j*p = 2*p + 8 for p. -2 Suppose -4*q + 2*n - 9 = 5, -n = 4*q + 5. Let h be q/(-5) - 56/(-35). Solve -t - 3 = h for t. -5 Let a(y) = -y - 1. Let k be a(-2). Solve -g = -0*g + k for g. -1 Let y = 11 + -8. Let z(b) = -y*b + 0*b + 2*b. Let m be z(-2). Solve 4*n - 14 - m = 0 for n. 4 Let v(y) = -y**2 + 8*y + 8. Let h = 19 + -11. Let g be v(h). Solve -s - g = s for s. -4 Let d(l) be the third derivative of l**4/24 - l**3/3 + l**2. Let v be d(2). Solve 5*y - 6*y + 3 = v for y. 3 Let z be (-2)/5 - 119/(-35). Suppose -1 = z*s + 4*n, 0 = 3*n + 5 + 7. Solve -s*v = -0*v - 25 for v. 5 Suppose 2*g = -3*g - 10. Let l(u) = -2*u**3 - u**2 - 2*u - 1. Let s be l(g). Suppose -k = -5*m - s, 5 = 2*k + k + 5*m. Solve 4*c = -k - 7 for c. -3 Let i(j) be the second derivative of 1/6*j**3 + 0 + 3*j**2 + 2*j. Let m be i(0). Solve g + 2*g - m = 0 for g. 2 Let l(p) = 5*p - 6. Let w(b) = 9*b - 11. Let j(q) = 7*l(q) - 4*w(q). Let h be j(-5). Suppose 0 = 5*c, 3*t - h*t + 3*c + 28 = 0. Solve 0 = 4*y + 1 + t for y. -2 Let h(w) = 4*w. Let y be h(1). Suppose -y*z + 5 = -3. Solve -z*b + 12 = b for b. 4 Let v(x) = -2*x. Let n be v(-2). Suppose -2*z = -5*s - 15 + 1, 4*s = -2*z - n. Solve -z*y = -y - 2 for y. 2 Let b = -13 - -17. Solve -b*m - m = 10 for m. -2 Suppose -22 - 11 = 3*z. Let y = -11 - z. Solve y = -b + 4*b + 12 for b. -4 Let r = 6 - 4. Let j = r - 1. Let z = 11 + -8. Solve z - j = 2*l for l. 1 Let g(s) = s**2 - 3*s + 4. Let f be g(0). Solve 0 = -f*m + m for m. 0 Suppose s + 33 = 4*s. Let k be s + 1/(-1)*3. Let w = 9 - k. Solve -2 - w = -3*a for a. 1 Suppose -2*t + 3 = y, 0*t - 5*y = -5*t + 30. Suppose 0 = -t*b - q, -2*q - 1 = -4*b + 9. Solve -v - b = 2 for v. -3 Suppose a - 2*h - 15 = 0, -2*a = 3*a - 2*h - 35. Let v(d) = d - 2. Let u be v(3). Solve 0 = -a*t - 26 + u for t. -5 Suppose 4*j - 35 = 37. Suppose 4*m + q = 24, -2*m = -5*m + 5*q + j. Solve 0 = -z + 1 - m for z. -5 Let c be (-1)/(3/6) - -2. Suppose c = -2*g + g + 50. Suppose -5*y + 4*z = -0*y - g, 3*y + z - 30 = 0. Solve -5*w = 10 + y for w. -4 Suppose 4*d - 9*d = -20. Solve d*a - 3 - 13 = 0 for a. 4 Let c(h) = -2*h - 8. Let t be c(-6). Suppose -t*q = -7*q + 24. Solve 2*l = -2*l + q for l. 2 Suppose -3*m + 10 = 3*j - 4*j, 20 = -5*j. Suppose m*n = 5*n - 12. Let u = 6 - n. Solve 3*s - 2*s = u for s. 2 Let m(f) = -6*f - 15. Let j be m(-4). Solve j*o = 4*o + 5 for o. 1 Let s(k) = k**3 - 5*k**2 + 3*k - 1. Let b be s(3). Let r(y) = y**2 + 10*y + 9. Let h be r(-8). Let g = h - b. Solve -g*z - 5 = 10 for z. -5 Suppose -r - 3*r + 8 = 0, 2*k - 2*r = 0. Let d be 0 + 0 - -7*1. Solve -d*p + k*p = 0 for p. 0 Suppose 3*d = 4*h - 32, 2*d = -6*h + h + 17. Let u = -2 - d. Solve -u*k + 5*k = -9 for k. -3 Let i = 12 + -9. Solve 2*d - d = i for d. 3 Let i be (3 - (-20)/(-8))*4. Let d be 0 + 6/3 + 14. Solve 2*q = -i*q + d for q. 4 Let o(h) = 3*h - 3. Let m be o(2). Solve -4*x + 1 = -m for x. 1 Let x(f) = -5*f**2 + 2*f - 2. Let c be x(2). Let l be 1/(-4) - c/8. Let j = 6 - 3. Solve l*d = -j*d for d. 0 Suppose 0 = -0*j + j - 25. Suppose y + 5*o + 23 = 0, -7*o - j = -2*o. Solve 8 + y = -2*l for l. -5 Let t be 2/6 - 1/3. Let k be t/(2 - 0) - 1. Let f(y) = -5*y. Let j be f(k). Solve 5 + 0 = j*q for q. 1 Let k be 10/(4/2) - 3. Suppose -3*l - 17 - 18 = -k*r, 2*r + 3*l - 5 = 0. Solve 0*f = -2*f - r for f. -5 Let c be (-4)/(-26) - (-4)/(-26). Let i = 20 - c. Solve -r = 4*r - i for r. 4 Let y(c) = c + c**2 + 18 + c**3 - 2*c**3 - 14*c**2. Let v be y(-13). Solve 0 = -6*i + i + v for i. 1 Suppose -21 = h - 4*h. Let r(p) = p**3 - 8*p**2 + 7*p + 3. Let v be r(h). Solve -v*b + 3 = -0 for b. 1 Let i = -4 + 7. Suppose 7*h - 4 = i*h. Let w(j) = j**2 - 6*j + 5. Let o be w(6). Solve 0 = o*b + h + 19 for b. -4 Suppose 2*k + 4*y = 4, -5*y + 4*y = 0. Solve -4*p = 18 + k for p. -5 Let j = 17 + -11. Solve j*v = 2*v for v. 0 Let u(a) be the second derivative of -a**5/20 - a. Let m be u(-1). Let j(w) = -w**2 + 17*w - 26. Let x be j(15). Solve -k + x = -m for k. 5 Let i be (-91)/(-6) + 6/(-36). Let l = i + -15. Solve l = 4*m + 3 + 1 for m. -1 Suppose 8 = 4*d + q - 20, 0 = -d - 4*q + 7. Suppose 3*w = -12, 0 = p - 3*w + d*w + 17. Let s be 20 - (0 + 0)*p. Solve 5*t + s = t for t. -5 Let g = 2 + 5. Suppose 0 = 4*w - g - 1. Solve b - 5 = w*b for b. -5 Let a(w) = w - 4. Let d be ((-3)/(-5))/((-7)/(-70)). Let m be a(d). Solve 2*s - 4 = -m for s. 1 Let v = 6 - 13. Let w be (-9)/12 + v/(-4). Let d = 1 + w. Solve -d*p + 5*p - 15 = 0 for p. 5 Let q = 12 + -9. Solve -q*k + 10 = -8*k for k. -2 Suppose -5*m + 5 = -3*q - 1, 0 = -2*q - 4. Solve m = z - 2 + 6 for z. -4 Let i(t) = t**2 - 4. Let y be i(3). Let s(c) = 2*c**3 + c**2 - 4*c + 3. Let x be s(2). Solve 8*g - y*g = x for g. 5 Let n be 10/4*(1 - -1). Let v(o) = o**3 - 6*o**2 + 4*o + 7. Let y be v(n).
{ "pile_set_name": "DM Mathematics" }
s digit of a? 8 Let x(c) = c**2 + 34*c + 206. What is the units digit of x(-29)? 1 Let f be (2536/16)/(2/4). Suppose 5*a - 315 = -5*v, -4*a = -4*v + f - 97. Let q = 37 + v. What is the tens digit of q? 9 Suppose -k - 4 = -x, 20 = 5*x + k - 4*k. What is the hundreds digit of 740/x + 2 - -3? 1 Let y(r) = 32*r**2 + r + 6 - 37*r**2 + 6*r**3 + 3*r**3. Let f be y(2). Suppose l = -3*a + f, 0 = 4*l - 5*a - 166 - 74. What is the units digit of l? 0 Let i = -185 + 201. Let g(w) = -w**2 + 25*w + 10. What is the units digit of g(i)? 4 Suppose 24876 = -21*y + 17258 + 81937. What is the hundreds digit of y? 5 Suppose 4106 - 193 = w - 2*b, -4*b = -4*w + 15656. Suppose -7*g = 8*g - w. What is the units digit of g? 1 Let v be 9/(45/(-152)) - (-2)/5. Let h be 2/((-2)/3) + (v - 2). Let t = h + 75. What is the tens digit of t? 4 Suppose -4815 = 6*s - 20*s + 244539. What is the ten thousands digit of s? 1 Let n = 13 - 13. Suppose 3*b - 3*d + 4*d - 7 = 0, 5*d - 5 = n. Suppose b*a + y - 234 = 0, 0*y = y + 2. What is the tens digit of a? 1 Suppose -7*c + 6*c + 20 = -4*q, -4*q - 4 = c. Suppose g + 5*k = 190, 0 = -4*g - 3*k + c*k + 760. What is the units digit of g? 0 Suppose 2*y + o - 77157 = 2*o, 38583 = y + o. What is the ten thousands digit of y? 3 Suppose 0*h + 6*h = 504. Suppose 0 = 2*r - 8 - 622. Let w = r - h. What is the tens digit of w? 3 Let z(n) = 3*n**3 - 249*n**2 - 444*n - 287. What is the thousands digit of z(86)? 8 Let p = 1935 + 869. What is the tens digit of p? 0 Suppose 33*o - 38*o + 24895 = -15. What is the hundreds digit of o? 9 Let a = -79 - -101. Suppose -b = -4, a + 34 = -2*t - 4*b. Let p = 43 - t. What is the tens digit of p? 7 Let q = 6432 - -17021. What is the tens digit of q? 5 Let f(y) = -y + 3. Let z(a) = -a + 2. Let h(t) = -5*f(t) + 4*z(t). Let w be h(7). Suppose -4*b + 694 = -v - v, w = -b - 4*v + 169. What is the tens digit of b? 7 Suppose 3*q = 2*y + 8, 0 = 4*q + 6 - 22. What is the units digit of -16 - -557 - (0/y + -5)? 6 Suppose -4*q + 19 = 5*t - 25, t = 5*q - 26. Let i(p) = -p**3 + 8*p**2 - 13*p - 2. Let j be i(q). Let k = -6 - j. What is the units digit of k? 2 Suppose 0 = -6*q + 5671 + 39089. Suppose q = -4*z - 3*g - 0*g, -5*z - 4*g = 9324. What is the tens digit of z/(-20) + (-2)/5? 9 Suppose f + 0*f - 3*x = 17, -x = -f + 11. Suppose 11*a = f*a + 6. Suppose 4*g = 0, 0*g + g = -a*j + 126. What is the tens digit of j? 6 Let k(y) = 3*y + 39. Let u be k(26). Let d = 224 - u. What is the tens digit of d? 0 Let s(i) = 2*i - 25*i**3 - 6 + 10*i**3 - 9*i - 2*i**2 + 11*i**2 + 14*i**3. Suppose 3*z - 4*l - 4 - 12 = 0, -2*l = -5*z + 36. What is the units digit of s(z)? 2 Suppose 42*h - 77088 - 177264 = 0. What is the hundreds digit of h? 0 Let j(w) = -w**3 + 15*w**2 + 18*w - 30. Let n be (16/(-12))/(6/(-72)). Let o be j(n). What is the units digit of -6*(-34 - 6/o)? 2 Suppose -5*s - 5*f + 2420 = 0, 7*s - 9*s + 5*f = -989. What is the tens digit of -1 - s*7/(-7)? 8 Suppose -71 = -4*d - 5*r + 199, -5*r = -3*d + 220. What is the tens digit of ((-714)/(-3))/(28/d)? 9 Suppose -41*h + 39*h = -6. Let r = 11 + -15. What is the tens digit of 156*(13/h + r)? 5 Suppose -4*s + z + 4*z = -14, 4*z = 24. Let j(t) be the second derivative of t**4/6 - 2*t**3 + t**2 + t. What is the hundreds digit of j(s)? 1 Let k = 122364 + -84995. What is the hundreds digit of k? 3 Let m(l) = -l**3 + 3*l**2 - 7*l. Let r be m(5). Let g = 1705 + -1372. Let z = g + r. What is the units digit of z? 8 Let q be (-395)/(-4) + 9/(-12) - -2. Suppose -118*p = -q*p - 27432. What is the units digit of p? 4 Let l = 77 - 73. Let b(z) = l*z**2 - 2*z - 7*z - 3*z + 25 - z. What is the units digit of b(6)? 1 Suppose -3*w + 7 + 2 = 0. Suppose -3*a + 5*d - 6 = 3*d, 4*a - w*d = -9. Let l(b) = b**2 - 2*b + 56. What is the tens digit of l(a)? 5 Let t(u) = -15 + 5*u + 15 + 21. Let v be t(-4). What is the tens digit of -110*v/(-2)*1? 5 What is the tens digit of ((-30)/8)/(501/(-368068))? 5 Let o be -46 - 2/5*-5. What is the hundreds digit of 8/44 - 8396/o? 1 Suppose -4*i + 4*u = 244, i - 3*i - 5*u - 87 = 0. Let t = -52 - i. Suppose -t*j = -114 - 242. What is the units digit of j? 9 Suppose -7*p + 0 = -7. Suppose 3*a + 13 = 2*u, 2*u - p - 8 = -a. Suppose 4*v - u*v = -41. What is the units digit of v? 1 Let t(y) = 4*y**3 - 2*y**2 - 10*y + 2. Let q be t(-3). Let w = q - -99. Suppose 342 = 4*m + f, -w*m - 2*f + 431 = f. What is the tens digit of m? 8 Let r be (1 - 3/(-12)) + 15/20. Suppose r*u - 540 = -40. What is the tens digit of u? 5 Let z = 1539 - 1017. Let r = z + -499. What is the units digit of r? 3 Suppose 3*k + 4*i = 37381, -30*k + 62296 = -25*k + i. What is the thousands digit of k? 2 Let c(g) = 18*g**2 + 47*g - 5. Let u(j) = -20*j**2 - 47*j + 4. Let l(i) = 3*c(i) + 2*u(i). What is the tens digit of l(-8)? 1 Suppose -42*a + 1509 = -6765. Suppose -j - 10 + 223 = 3*h, -5*h = -j + a. What is the tens digit of j? 0 Suppose 0 = -3*l + 4*d + 19501, -3*d + 25968 = 2*l + 2*l. What is the hundreds digit of l? 4 Suppose 5*l + 2*i + 404 = 0, 3*l - 2*l - 4*i + 72 = 0. Let p = l - -84. Suppose 165 = p*g - 5*v - 552, 2*g - 5*v = 371. What is the hundreds digit of g? 1 Let l(w) = w**3 + 10*w**2 + 10*w + 7. Let m be l(-9). What is the tens digit of (-3 - m)*4*-91? 6 Suppose -2*k + 17689 - 5231 = 0. What is the units digit of k? 9 Let o(z) = -38*z**2 - 2*z - 9. Let s(g) = -19*g**2 - g - 4. Let r(c) = -3*o(c) + 5*s(c). Let q be r(-5). Suppose -q = -4*i - 165. What is the units digit of i? 8 Let j(v) = -v**2 + 11*v - 7. Let q be j(10). Suppose -d - 21 = -q*n + 2*d, -3*d + 3 = n. Suppose 54 = -n*m + 15*m. What is the units digit of m? 6 Let y(n) = -4*n**3 - 39*n + 3*n**3 + 19518*n**2 - 19552*n**2 + 28. What is the tens digit of y(-33)? 2 Suppose 47*n = 135 - 41. What is the tens digit of (-63408)/(-336) + n/7? 8 Let r = 55 - 50. Suppose -r*b = 4*t - 486, 3*t = -4*b + 105 + 283. Suppose -190 - b = -2*l. What is the tens digit of l? 4 Let u(j) = -420*j - 18. What is the hundreds digit of u(-1)? 4 Let q = -205 - -435. Suppose 0 = 3*d - 4*r - q, 3*r = 2 + 1. Suppose 2*g - 101 = -w, 2*w - d = -5*g + 125. What is the units digit of w? 9 Let s be (2 - 5)/((-5)/(-4 + 9)). Suppose -4*w = s*u - 792, -3*w = -7*w - 5*u + 800. Let r = w - 57. What is the hundreds digit of r? 1 Suppose -3*f - u = 262, u + 163 = -2*f - 2*u. Let a = f - -91. Suppose -w + 22 = -4*d, -5*w - a*d = -31 - 35. What is the tens digit of w? 1 Let o(m) = -m - 4. Let r be o(-3). Let g be 3/(-7) - r/((-28)/(-1468)). What is the units digit of (-13)/(g/(-75))*16/3? 0 What is the hundreds digit of (11 - 5) + 270/(-75)*-2015? 2 Suppose o = 4*r + 3 - 0, 0 = -r. Suppose -1785 = -o*g - 4*g. What is the units digit of -3*(-2)/15*g - 1? 1 Suppose -3*m = -4*f + 2*f + 12634, f + 4*m - 6317 = 0. What is the hundreds digit of f? 3 Let h = 1255 - -95. Suppose -5*x + 4*g + h = 0, -g = -4*x - 0*g + 1091. What is the tens digit of x? 7 Let j be (2 - 20/12)/((-1)/(-12)). Suppose -17 + 3 = -j*y - 2*o, 0 = -2*o - 2. Suppose -693 - 171 = -y*v. What is the hundreds digit of v? 2 Suppose -1 = x + 3*z - 8, 2*x = -4*z + 6. What is the units digit of ((-705)/10 + x)*-6? 3 Let a be (-3 - 32/(-4))/1. Suppose -4*u + 1305 = -a*j, 2*j + 984 = 3*u - 0*j. Let k = -118 + u. What is the hundreds digit of k? 2 Suppose 5*x + a - 23053 - 21282 = 2*a, 0 = -2*a. What is the thousands digit of x? 8 Let x(j) = 2107*j**2 + 107*j - 459. What is the tens digit of x(4)? 8 Suppose 47*f = 42*f + 4*o + 515, 2*f - o - 206 = 0. What is the hundreds digit of f? 1 Let m(j) = 4*j**3 + 221*j**2 + j + 217. What is the hundreds digit of m(-16)? 3 Let d(j) = 615*j**2 + 94*j + 643. What is the hundreds digit of d(-7)? 1 Suppose -391*a - 893210 + 11100334 + 4429570 = 0. What is the hundreds digit of a? 4 Suppose -350 = -4*p + 342. Suppose -5*g - t - 77 = p, 5*g + 250 = 5*t. Let d = -22 - g. What is the tens digit of d? 2 Suppose 87*v + 124*v = 55*v + 386568. What is the thousands digit of v? 2 Let u(f) = 28*f - 120. Let s be u(34). Let g = s - 704. What is the hundreds digit of g? 1 Let c(s) be the first derivative of -19 + 39/2*s**2 - 3*s. What is the tens digit of c(3)? 1 Suppose -597*v + 3*b = -600*v + 16428, -2*b = -4. What is the hundreds digit of v? 4 Let j = -32531 - -47904. What is the ten thousands
{ "pile_set_name": "DM Mathematics" }
) = 2*u - 9. Let c be w(7). Suppose -h + 2*h + c = 0, -24 = -a + 4*h. What are the prime factors of a? 2 Let s be -3 - -3 - 5*1. Let h be 3/s + (-23)/(-5). Suppose h*i + i = 35. List the prime factors of i. 7 Suppose -u - 3*u = -20. Suppose -4*s - 17 = 5*z - 5, 0 = u*s + 5*z + 10. What are the prime factors of s? 2 Suppose 369 = 3*j - 9. List the prime factors of j. 2, 3, 7 Let c be -3*-1*(0 + 1). Let n be 2/6 + (-84)/(-18). What are the prime factors of (6/n)/(c/20)? 2 Let u(g) = 3*g - 15. What are the prime factors of u(9)? 2, 3 Suppose -2*o + s + 20 = -0*o, 3*o = 3*s + 33. List the prime factors of o. 3 Let l(p) = -p + 4. Let m be l(0). Suppose 11 = -m*n - 13. What are the prime factors of 4/n*(-36)/8? 3 Let b = -14 + 8. Let o be (-7)/((b/(-2))/(-3)). Suppose 11 = -6*t + o*t. List the prime factors of t. 11 Let a be 10/25 - (-104)/(-10). Let j = 16 + a. Suppose -5*d + 19 + j = 0. What are the prime factors of d? 5 Suppose -d - 44 = -2*j - 3*d, -2*j + 64 = -2*d. Suppose 0 = -3*v, -3*o - 17 - 28 = -2*v. Let r = o + j. What are the prime factors of r? 2, 3 Suppose 4*x = x + 303. What are the prime factors of x? 101 Let u(z) = -14*z**2 + 4*z + 8. Let q(t) = -5*t**2 + t + 3. Let b(h) = 8*q(h) - 3*u(h). Let y be b(3). Let m = y + -4. List the prime factors of m. 2 Let h = 73 - 33. List the prime factors of h. 2, 5 Let v(c) = c + 7. Let z be 8/(-12)*(-21)/2. List the prime factors of v(z). 2, 7 Let u be 90/(-12) - (-2)/(-4). Let h = u + 11. List the prime factors of h. 3 Suppose 3*d + 38 = -4*z + 199, -5*z - d = -215. What are the prime factors of z? 2, 11 Let y(w) = -w - 6. Let j be y(-6). Suppose 2*o + 3*o - 60 = j. What are the prime factors of o? 2, 3 Let g(w) = 4*w - 8. Let o be g(9). Let u = 34 - o. What are the prime factors of u? 2, 3 Suppose 38 = u + u. What are the prime factors of u? 19 Let s be (-4)/(-6)*-11*-6. Suppose -5*c + 29 + s = 3*d, 2*d - 5*c - 82 = 0. Suppose -3*k + d = 7. What are the prime factors of k? 2 Let g(j) = j**2 + j - 10. Let l(n) = -4*n**2 - 4*n + 39. Let m(u) = -9*g(u) - 2*l(u). What are the prime factors of m(0)? 2, 3 Let w(s) = s - 10. Let p be w(13). What are the prime factors of -3*(-1)/p*9? 3 Suppose b + 2 = -b. Let d(z) be the second derivative of -2*z**5/5 + z**4/12 - z**2/2 - 4*z. List the prime factors of d(b). 2 Let f be (14/4)/(2/4). Let t(k) = 5*k + 2. List the prime factors of t(f). 37 List the prime factors of (1 + 0)*4 + 18. 2, 11 Suppose -2*i + 4 = 5*n - 9, 4*i = 3*n + 13. Suppose i*a = o + 3 + 8, -4*a + 2*o + 14 = 0. Suppose 3*x + 2 = 2*x, 20 = 4*v + a*x. List the prime factors of v. 2, 3 Suppose 0 = -2*l - 0*l + 10. Let r(p) = -p**2 + 6*p + 4. List the prime factors of r(l). 3 Let y = -66 - -207. What are the prime factors of y/13 - 4/(-26)? 11 Suppose l - 2 = -0, -r + 20 = -5*l. Suppose 5*o - r - 5 = -d, -o + 3 = 0. What are the prime factors of d? 2, 5 Let b(y) = -y**3 - 6*y**2 + y - 5. Let m(g) = -2*g**2 + g. Let j be m(2). Let f be b(j). Let u = 19 + f. What are the prime factors of u? 2 Let d be (-1)/((4/8)/((-81)/6)). Suppose -14 = z + 2. Let l = z + d. What are the prime factors of l? 11 Suppose x + 5*t = 4*t + 7, 4 = 2*t. Let f be 2/(-3) + (-1)/3. List the prime factors of (x/(-2))/(f/2). 5 Let z(q) = -q**3 - 12*q**2 + 13*q + 10. What are the prime factors of z(-13)? 2, 5 Let b(g) = 34*g**2 - g. List the prime factors of b(2). 2, 67 Let t(i) = -12*i - 3. Let x be t(-2). Suppose -d - x = -0*j - 4*j, -5*d + 20 = 5*j. What are the prime factors of -2 - -7 - (d + 0)? 2, 3 Suppose w = 4*w. Suppose -15 = -3*o - w*o. What are the prime factors of o? 5 Let z = -24 + 15. List the prime factors of (2 - 53)/(z/6). 2, 17 Let m(l) = 14*l**2 + 3*l - 5. What are the prime factors of m(2)? 3, 19 Suppose -4*a + 7 = -9. List the prime factors of a. 2 What are the prime factors of (32 + 1 + -4)*4/2? 2, 29 Suppose 2*a = -4*f + 117 + 241, 0 = 3*a - 3. What are the prime factors of f? 89 Suppose 5*l - 15 = -0*l. Suppose 6*c - c = 10, 0 = -n - 2*c + 7. Suppose 20 = 3*y - 2*o + n*o, 20 = y + l*o. What are the prime factors of y? 5 Suppose 4*h - 7 = 9. Suppose 0*i = -2*d - h*i + 18, 5*i - 3 = 4*d. What are the prime factors of d? 3 Suppose 5*w = -4*r - 2, -6 = -5*w + 4*r + 16. Suppose n = -p - 2, w*p + 34 = -3*p + n. Let u = p + 13. What are the prime factors of u? 7 Let h(w) = 5*w**2 + 4*w + 2. List the prime factors of h(-2). 2, 7 Let s = 0 + -1. Suppose -3*j - 4*w = 7, j + 2*w - 11 = 4*w. Let t = j + s. List the prime factors of t. 2 Let f(r) = r**2 - 8*r - 1. Suppose k = -2*k - 5*s + 21, -5*s = 0. Let j be f(k). Let l = j + 18. What are the prime factors of l? 2, 5 Let t(g) be the second derivative of -g**4/12 - g**3/3 - 3*g**2/2 - 2*g. Let w be t(-2). Let u(b) = -3*b - 1. What are the prime factors of u(w)? 2 Suppose -3*a - a + 2*y + 268 = 0, 2*a - 134 = -4*y. Suppose a = 5*l - 38. What are the prime factors of l? 3, 7 Let a = -2 - -1. Let y be 2 - 1 - 2/a. Suppose -y*p = -6*p + 18. What are the prime factors of p? 2, 3 Let k = 0 + -7. Let w be (-4)/(-6) - k/3. Suppose i = 2 + w. What are the prime factors of i? 5 Let k be (-44)/10 - (-6)/15. Let s(h) = h**2 + 2*h - 1. What are the prime factors of s(k)? 7 Let a = -30 + 53. List the prime factors of a. 23 Let y be (-3 - 1) + -1 + -2. Let u = 11 - y. What are the prime factors of u? 2, 3 Let r be (10/(-4) + 1)*2. What are the prime factors of r*(2 + -3) + 3? 2, 3 Let z(j) = -2*j**3 - 2*j**2 - 2*j. Suppose 2*b - 9 = 5*b. Let u be z(b). Suppose -u = -5*p - 3*k, -2*p + 5 = 5*k - 8. What are the prime factors of p? 3 Let v = 83 - 41. Let t = v - 27. List the prime factors of t. 3, 5 Let w(c) = c**2 + 3*c + 4. Let y be w(-4). Let q(m) = m**2 - 8*m + 2. What are the prime factors of q(y)? 2 Let w = 11 - 7. Let b(x) = -4*x + 1 - w - 3*x. List the prime factors of b(-2). 11 Let z(g) = -g**3 - g + 5. Let o be z(0). Suppose 8 = -o*a - 5*x + 83, 0 = -2*x + 6. List the prime factors of a. 2, 3 Suppose -14 = p - 51. What are the prime factors of p + 0 + 8/(-4)? 5, 7 Let l(k) = 8*k + 7. Let n be l(5). Let r = n + -14. What are the prime factors of r? 3, 11 Suppose -t + 7 = z + 4*z, 0 = -5*t + z + 9. Suppose 3*c + 4*j - 35 = 0, -3*c - 2*c + 30 = j. Suppose t*f - 3 = c. List the prime factors of f. 2 Let f = -27 + 50. What are the prime factors of f? 23 Suppose 0*d = 3*d - 27. Let l be (3/d)/(3/279). Suppose -2*y + 3*f = -27, 0 = 4*y - y + 5*f - l. List the prime factors of y. 2, 3 Suppose -2*j + 0 = 4. Let f be -2 - (-3 - j) - -311. What are the prime factors of f/18 + (-6)/27? 17 Let k(p) be the third derivative of p**4/24 - p**3/2 - 4*p**2. Let n be k(7). Suppose -53 - 19 = -n*j - 4*w, -34 = -3*j + 2*w. What are the prime factors of j? 2, 7 Suppose v - 9 - 17 = -j, 0 = -3*v + 4*j + 113. List the prime factors of v. 31 Suppose -8 - 2 = 2*b, -n = -4*b - 131. List the prime factors of n. 3, 37 Let k(x) be the first derivative of -x**4/4 + 7*x**3/3 - 5*x**2/2 + 9*x + 1. What are the prime factors of k(6)? 3, 5 Let c be -4 - (-33)/(-6)*-4. Suppose -16*s = -c*s + 26. List the prime factors of s. 13 Suppose -8*t + t + 1050 = 0. List the prime factors of t. 2, 3, 5 Let s be (-4)/1*3/6. What are the prime factors of 26 + -3 + (-2)/s? 2, 3 Let v(r) = r**3 - 2*r**2 + 2*r - 1. List the prime factors of v(3). 2, 7 Let p(n) = n**2 - n + 41. Let q be p(0). Let z = 74 - q. List the prime factors of z. 3, 11 Let y = -17 + 10. Let n = 3 - y. List the prime factors of 8/10*n/1. 2 Suppose -4*z + 52 = -112. Suppose -r + z = -0*r. List the prime factors of r. 41 Let h = -4 - 0. Let s = h - -7. Suppose -2*m + 4*i + 10 + 8 = 0, s*m - 5*i - 24 = 0. What are the prime factors of m? 3 Suppose a - 81 = 2*q, 2*q + 294 = a + 3*a. What are the prime factors of a? 71 Let i(p) = -p**2 - 15*p + 12. List the prime factors of i(-8). 2, 17 Suppose -4*i = -i - c + 6, 2*i + 18 = -4*c. Let p = 16 + i. What are the prime factors of p? 13 Let z(h) = -h**3 + 2*h**2 + 2*h + 1. Let o be z(-1). Let y be 30/4*o/3. Let n = y + -1. List the prime factors of n. 2 Let g(v) = v**2 - 19*v + 37. What are the prime factors of g(20)? 3, 19 Let x(t) be the second derivative of -t**3/6 + t**2 + t. Let n be (-1)/2*(0 + 0). What are the prime factors of x(n)? 2 Suppose -180 = 4*z + c - 6*c, -5*c = z + 45. Let x = -24 - z. Lis
{ "pile_set_name": "DM Mathematics" }