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ive p(8). 25 Let g(n) = -9*n**3 + 26*n**2 + 63*n + 15. Give g(-2). 65 Let g(x) = -x**3 + 16*x**2 - 29*x - 9. Determine g(15). -219 Let f(u) = 6*u + 727. What is f(-59)? 373 Let o(w) = -187*w - 16460. What is o(-88)? -4 Let r(y) = 655*y + 61561. Calculate r(-94). -9 Let h(j) = -2*j - 75. Determine h(-35). -5 Let b(l) = -2*l**3 - 184*l**2 - 191*l - 829. What is b(-91)? -10 Let d(v) = 59*v**2 + 7*v + 3. Give d(1). 69 Let x(b) = -b**3 - 19*b**2 + 7*b - 255. Give x(-20). 5 Let k(f) = -f**2 - f + 135. Calculate k(11). 3 Let z(b) = -312*b + 7803. What is z(25)? 3 Let a(j) = 5*j + 624. Give a(-37). 439 Let u(n) = n**3 - 77*n**2 - 161*n + 245. Determine u(79). 8 Let o(l) = -377*l - 748. Determine o(-2). 6 Let i(j) = 16*j**3 + 145*j**2 + 32*j + 214. Calculate i(-9). 7 Let z(k) = -k**2 + 684*k - 13278. Determine z(20). 2 Let h(r) = 101*r**2 + 13*r + 14. Calculate h(-1). 102 Let l(h) = 38*h - 1028. Determine l(27). -2 Let k(p) = 15*p - 10. What is k(5)? 65 Let m(v) = -206*v**2 - 5*v + 4. Calculate m(1). -207 Let r(b) = 4*b**2 + 8*b + 104. Calculate r(0). 104 Let y(z) = -60*z - 538. Give y(-9). 2 Let w(h) = h**2 + 214*h + 9142. What is w(-59)? -3 Let l(o) = 7320*o + 182995. What is l(-25)? -5 Let m(n) = -n**3 + 28*n**2 - 258*n + 4576. Calculate m(25). 1 Let s(r) = 21*r**3 - 15*r**2 - 36*r - 5. Give s(-2). -161 Let n(b) = 21*b**3 + b**2 + 4*b - 5. Give n(1). 21 Let w(c) = c**3 + 19*c**2 + 2*c + 439. Calculate w(-20). -1 Let z(o) = 7*o + 84. Calculate z(-14). -14 Let u(q) = -18*q**3 - 1098*q**2 - q - 54. Calculate u(-61). 7 Let a(j) = 411*j + 5823. What is a(-14)? 69 Let p(h) = 17*h**2 + 2*h + 21. Give p(-4). 285 Let s(v) = -2*v - 135. What is s(-21)? -93 Let y(o) = 2*o**3 + 6*o**2 - 78*o - 604. Determine y(-9). -874 Let k(p) = -88*p - 4. Calculate k(-3). 260 Let q(b) = -199*b - 1426. What is q(-7)? -33 Let g(i) = -i**3 - 13*i**2 + 47*i + 580. What is g(-13)? -31 Let f(w) = -11*w**2 + 935*w - 5. What is f(85)? -5 Let g(n) = n**3 + 15*n**2 - 46*n - 5. Determine g(3). 19 Let x(g) = 43*g + 646. Give x(-15). 1 Let g(o) = -2*o**3 - 9*o**2 - 69*o - 369. Determine g(-5). 1 Let p(s) = -s + 29. Give p(23). 6 Let q(j) = -1163*j + 10457. Give q(9). -10 Let f(m) = -52*m - 3959. Determine f(-76). -7 Let d(s) = 12*s**2 - 14*s - 14. Calculate d(11). 1284 Let h(k) = -62*k - 4. What is h(2)? -128 Let a(j) = 2*j**2 - 33*j + 95. What is a(23)? 394 Let n(d) = -64*d + 708. What is n(11)? 4 Let g(v) = -10*v - 36. Calculate g(0). -36 Let l(n) = -709*n - 20551. Calculate l(-29). 10 Let z(s) = -s + 35. Calculate z(-6). 41 Let x(v) = 11*v**3 + 39*v**2 - 10*v - 1. What is x(-3)? 83 Let y(w) = 2537*w + 10154. Give y(-4). 6 Let q(p) = p**2 - 5657*p + 118349. Give q(21). -7 Let x(a) = 232*a + 36188. Calculate x(-156). -4 Let w(d) = -343*d - 8584. Determine w(-25). -9 Let h(d) = d**3 + 39*d**2 + 139*d - 31. Give h(-35). 4 Let r(a) = -200*a + 6305. Give r(31). 105 Let n(t) = t**2 - 314*t - 3863. Give n(-12). 49 Let f(b) = -2*b**2 - 149*b - 287. Determine f(-2). 3 Let c(m) = m**2 - 108*m + 1184. What is c(13)? -51 Let n(b) = 1762*b + 12354. Give n(-7). 20 Let c(p) = -p**3 - 15*p**2 - 112*p - 1380. Give c(-14). -8 Let q(c) = -109*c + 1213. Calculate q(11). 14 Let y(v) = 3*v**3 - 2*v**2 + 59*v - 216. What is y(3)? 24 Let v(y) = -y**2 - 102*y + 292. Determine v(-105). -23 Let y(c) = c**2 + 41*c + 231. Give y(-28). -133 Let w(t) = -3*t**2 - 481*t + 1982. Determine w(4). 10 Let q(v) = v**3 - 38*v**2 + 7*v + 35. Calculate q(38). 301 Let c(z) = -306*z + 26306. Determine c(86). -10 Let p(n) = -571*n**2 - 11*n - 10. Give p(-1). -570 Let d(x) = 4*x - 121. Calculate d(29). -5 Let z(g) = -9751*g - 29249. Calculate z(-3). 4 Let i(h) = -h**2 + 46*h - 190. Determine i(41). 15 Let l(i) = 59*i - 1632. What is l(27)? -39 Let b(l) = l**2 + 62*l - 4671. What is b(44)? -7 Let m(j) = -39*j**3 + 154*j**2 - 16*j + 5. Determine m(4). -91 Let l(x) = 383*x**2 + 9192*x + 6. What is l(-24)? 6 Let j(z) = 4*z**3 - 43*z**2 - 69*z - 17. Determine j(12). -125 Let h(t) = -119*t - 1038. Calculate h(-9). 33 Let b(i) = 22*i + 33. Give b(-1). 11 Let c(o) = o**3 - 16*o**2 + 30*o + 2. Calculate c(14). 30 Let p(u) = u**2 - u + 199. Determine p(0). 199 Let o(x) = 4838*x + 14581. Give o(-3). 67 Let x(u) = -u**2 - 29*u - 178. Determine x(-23). -40 Let v(p) = -179*p**3 + 3*p**2 - 8*p + 4. Determine v(1). -180 Let v(h) = 36*h - 323. What is v(16)? 253 Let x(m) = m**2 + 35*m + 16. Determine x(-39). 172 Let v(x) = -x**3 - 52*x**2 - 51*x. Determine v(-51). 0 Let p(c) = -482*c + 1023. What is p(2)? 59 Let m(t) = 315*t + 53237. Give m(-169). 2 Let g(b) = b**2 - 62*b + 58. What is g(0)? 58 Let d(h) = 650*h - 1297. Give d(2). 3 Let k(q) = q**3 - 51*q**2 + 597*q - 50. Determine k(20). -510 Let t(h) = -26*h + 8. What is t(2)? -44 Let l(h) = 118*h - 1279. Determine l(11). 19 Let v(p) = 10*p**3 - 137*p**2 - 27*p - 217. What is v(14)? -7 Let f(v) = -3*v**3 + 65*v**2 - 40*v - 28. Give f(21). 14 Let i(o) = -o**3 - 10*o**2 - 5*o + 38. Determine i(-7). -74 Let v(z) = -1049*z - 7104. What is v(-7)? 239 Let x(n) = -n**3 + 10*n**2 + 30*n - 20. What is x(7)? 337 Let r(g) = g**3 + 54*g**2 - 90*g + 4. Give r(0). 4 Let x(w) = -406*w + 2190. Determine x(6). -246 Let f(s) = -5*s - 39. Give f(-11). 16 Let z(f) = 67*f + 207. Calculate z(-3). 6 Let x(d) = d**3 + 8*d**2 + 5*d + 41. Give x(-8). 1 Let k(i) = -7*i**2 - 170*i - 27. Calculate k(-25). -152 Let m(f) = -8*f**2 + 1149*f - 2306. Calculate m(2). -40 Let r(c) = c**2 + 5*c - 24. Give r(10). 126 Let y(c) = c**3 + 32*c**2 + 89*c + 16. Determine y(-3). 10 Let i(l) = 57*l - 405. What is i(7)? -6 Let r(o) = 83*o + 766. Give r(-9). 19 Let i(u) = -6*u**3 + 9*u**2 + 9*u + 6. Give i(-3). 222 Let r(t) = 14*t**2 - 59*t - 95. Determine r(-2). 79 Let d(o) = -14*o**2 + 23*o - 82. Determine d(3). -139 Let y(w) = 6*w**2 + 82*w + 249. Give y(-3). 57 Let d(r) = -5*r**3 - 13*r**2 + 7*r + 16. Give d(-4). 100 Let r(d) = -49*d**2 + 316*d - 20. What is r(6)? 112 Let v(i) = 5*i**2 - 62*i - 41. Give v(16). 247 Let w(a) = -64*a - 253. Determine w(-5). 67 Let w(c) = 4*c**2 - 106*c - 103. Determine w(-1). 7 Let c(y) = 19*y**2 - 49*y - 8. Give c(4). 100 Let m(z) = 228*z + 9347. Give m(-41). -1 Let f(j) = j**2 - 57*j - 415. What is f(64)? 33 Let o(a) = 36*a + 21. Calculate o(-10). -339 Let b(t) = 3*t**2 + 10*t - 1031. Give b(17). 6 Let r(z) = -40*z - 539. Determine r(-11). -99 Let g(z) = z**3 - 36*z**2 + 29*z + 190. Calculate g(35). -20 Let r(m) = m**3 - 7*m**2 + 27*m - 130. What is r(6)? -4 Let j(q) = 11*q + 20. Determine j(14). 174 Let t(u) = 2*u**2 - 7*u - 125. Determine t(9). -26 Let r(n) = -13*n**2 + 201*n - 90. What is r(15)? 0 Let r(w) = 20*w + 105. Calculate r(-10). -95 Let a(y) = -2*y**2 + 6765*y - 33774. What is a(5)? 1 Let r(b) = -158*b - 132. Calculate r(-1). 26 Let p(z) = z + 25. Determine p(-16). 9 Let y(p) = 21*p**2 + 5*p + 3. What is y(2)? 97 Let m(u) = -36*u - 155. What is m(-18)? 493 Let r(o) = -o**2 + 200*o - 6876. Calculate r(44). -12 Let c(d) = 88*d - 75. What is c(2)? 101 Let v(t) = -18*t**2 + 80*t + 163. Calculate v(-2). -69 Let w(k) = k**3 + 21*k**2 - 96*k - 8. Calculate w(-25). -108 Let v(b) = 3*b - 32. Give v(33). 67 Let h(o) = -29*o**3 + 56*o**2 + 58*o + 4. Determine h(-1). 31 Let d(t) = t**3 + 26*t**2 - 91*t - 117. Determine d(-29). -1 Let a(j) = 9*j**2 + 59*j + 91. Calculate a(-4). -1 Let w(t) = -53*t - 907. Determine w(-17). -6 Let n(k) = -70*k**2 + 778*k - 63. Calculate n(11). 25 Let v(b) = 3*b**2 + 12*b. Calculate v(0). 0 Let p(z) = -79*z - 735. Calculate p(-10). 55 Let h(g) = 3*g**3 - 58*g**2 + 186*g + 140. Determine h(15). 5 Let q(p) = -7*p**2 + 215*p - 619. Give q(28). -87 Let d(r) = 550*r - 134. Give d(1). 416 Let l(h) = 11*h**3 + 50*h**2 - 2*h - 3. Give l(-6). -567 Let c(l) = -30*l + 2. What is c(0)? 2 Let g(m) = m**2 - 833*m + 27. What is g(0)? 27 Let z(i) = 5230*i - 209195. Give z(40). 5 Let q(f) = 2*f**3 + 52*f**2 + 53*f + 53. Determine q(-25). -22 Let d(f) = 2*f**3 + 63*f**2 + 193*f + 34. Determine d(-28). 118 Let m(c) = -54*c + 29. What is m(4)? -187 Let v(c) = -c**3 - 447*c**2 + 1352*c - 11. What is v(3)? -5 Let r(v) = 2*v + 449. Give r(1). 451 Let t(u) = 10*u - 202. Give t(43). 228 Let p(h) = -39*h + 356. What is p(9)? 5 Let a(n) = 219*n - 873. Calculate a(4). 3 Let o(p) = 4*p**3 + 8*p**2 + 1
{ "pile_set_name": "DM Mathematics" }
and 11. 11 Let y = 654 + -604. Suppose 177 = 3*t - i - y, -5*i - 395 = -5*t. What is the highest common divisor of 555 and t? 37 Let j be -4*25/(-20) - -3. Let o = 267 - 107. What is the greatest common divisor of j and o? 8 Let h = -28752 + 28914. What is the highest common divisor of h and 2538? 54 Suppose k - q - 125 = 154, q + 559 = 2*k. What is the greatest common divisor of k and 25? 5 Let f(r) = 3*r**2 + 11*r - 11. Suppose x + 2*n = -1 + 6, 2*x + 3*n - 5 = 0. Let c be f(x). Calculate the highest common factor of 3 and c. 3 Suppose 296 + 236 = 21*g + 70. Suppose 6*m - 165 = 3*m. What is the highest common divisor of m and g? 11 Let a(m) = -m**3 + 15*m**2 - 56*m + 251. Let z be a(11). What is the highest common divisor of z and 204? 17 Let t(q) = 66*q + 1502. Let k be t(13). What is the highest common divisor of k and 80? 40 Let u = 141 - 131. Let b(z) = z**2 - 11*z + 13. Let d be b(u). Let t be d - (-1 - -6) - -86. What is the greatest common divisor of 126 and t? 42 Let p be (-30348)/(-90) + (-4)/14 + (-64)/70. Calculate the highest common factor of 216 and p. 24 Let u = -238 + 127. Let p = -762 + 668. Let b = p - u. Calculate the greatest common factor of b and 68. 17 Let k be 14/42*(-54)/2. Let r be 6/(-4)*384/k + -1. Let y(u) = u**3 - u**2 + 7. Let m be y(0). What is the greatest common divisor of m and r? 7 Let g(k) = 4 + k + k**2 + k**3 - 3 - 8*k**2 + 1. Let x be g(7). Let v be ((-30)/18)/(40/(-144)). What is the greatest common factor of v and x? 3 Let y(t) = 28*t + 183. Let c be y(-6). Suppose l = c*l - 238. Suppose 0 = 3*u - 75 - 384. What is the greatest common factor of l and u? 17 Let x(i) = 354*i**2 + 2*i - 8. Let o be x(4). Suppose -34*t - 14*t + o = 0. What is the greatest common divisor of 177 and t? 59 Let p be ((-5)/20*-4*22)/((-2)/(-42)). Calculate the greatest common divisor of 112 and p. 14 Let x be (365 + 56/(-8))*(4 - 3). Calculate the greatest common factor of 6 and x. 2 Let m be (7 + -3 - 9)*-3. Let w be (0 - -10)/(m + -13). Suppose -3*k - 5*u - 40 = -111, 69 = w*k - 4*u. What is the highest common factor of 119 and k? 17 Let h(b) be the first derivative of 3*b - 16*b**2 + 7*b**2 - 18*b**2 - b - 35. Let n be h(-1). What is the highest common divisor of n and 14? 14 Suppose -102*c - 6045 = -107*c - 2*x, 3*c = 2*x + 3627. Calculate the highest common factor of 468 and c. 39 Let u = 5924 - 2914. Calculate the greatest common factor of u and 350. 70 Suppose 9*i - 284 = 5*i - 4*q, 4*q + 260 = 4*i. Calculate the greatest common factor of 164 and i. 4 Suppose -2*r + 11*x - 8*x + 8799 = 0, -5*r + 2*x + 22025 = 0. Let c be r/565 - (-8)/(-10). Calculate the highest common factor of 13 and c. 1 Let r = -40 - -20. Let j be (-158)/(-20) - 2/r. Suppose -f = c - 6, -3*f + 19 = 4*c - j. What is the highest common factor of c and 27? 9 Suppose -24*x + 6431 = -3553. Let p = x + -341. What is the highest common divisor of p and 30? 15 Let t(o) = 36*o**2 - 2203*o - 6605. Let x be t(-3). Let f(m) = 6*m**3 - m**2 - 2*m + 1. Let n be f(2). Calculate the greatest common factor of x and n. 41 Suppose 4518 = 6*z + 4326. Calculate the greatest common divisor of z and 92. 4 Suppose 3*o + 2*y - 1216 = 0, 2*o + 2*y = 178 + 632. Calculate the highest common divisor of 667 and o. 29 Suppose -62*g - 3158024 = -156*g. What is the greatest common factor of 74 and g? 74 Let s(x) = -x**2 + 2*x + 2. Let j = 32 - 32. Let r be s(j). Suppose -3*l - 5*y = 1, -3*l - r*y + 5 = -0. What is the highest common divisor of l and 3? 3 Let f be 331 - (-23 + 14 + -5). Calculate the highest common divisor of 6 and f. 3 Suppose t = 3*x - 813, -6*t - 813 = -3*x - 11*t. Suppose -4*i + 2*i - 3*q = -x, 3*q + 113 = i. What is the highest common divisor of i and 8? 8 Let o(k) = -k + 29. Let z be o(-7). Let h be ((-21)/3 + 5)*(-2 - 0). What is the highest common divisor of z and h? 4 Let i be 0 - -1 - (-284)/2. Let j be (25*(-34)/(-1700))/(2/(-4))*-26. What is the highest common factor of j and i? 13 Let g be 141/(-2) + 20/(-40). Let k be 0 - 2 - (-3)/((-3)/g). Let h = k + -48. What is the highest common factor of h and 63? 21 Let c(t) = -15*t + 11. Let f be c(-9). Suppose 156*o - 159*o + h + 652 = 0, o = -3*h + 234. What is the greatest common divisor of o and f? 73 Let f be 10 + ((-7)/21 - 22/6). Suppose 4*b + 4*z = 0, -5 = 4*b - f*b + 3*z. What is the highest common factor of 49 and b? 1 Let i be 13 + -6 + (11 - 11). What is the greatest common factor of 4291 and i? 7 Suppose 0 = 9*k - 2*k + 231. Let a be (-1)/((-8)/30) - k/132. Let l(d) = -d**2 - 10*d + 6. Let u be l(-10). Calculate the highest common factor of a and u. 2 Let d(f) = 6*f**3 + 6*f**2 - 4*f + 2. Let b be d(-5). Let w = -298 - b. What is the greatest common divisor of 40 and w? 40 Let t be ((-402)/36)/(40/(-24)*1/10). Calculate the greatest common factor of 8576 and t. 67 Let t(p) = -p**3 + 12*p**2 - p - 13. Let x be t(9). Let a = -204 + x. Calculate the greatest common factor of a and 51. 17 Let a(r) be the first derivative of 1/3*r**3 + 11/2*r**2 + 2*r - 1. Let p be a(-12). Calculate the highest common factor of 28 and p. 14 Suppose 0 = -2*p + 7*p - 5. Suppose 27*u - 761 = 49. Suppose u*g - 27*g + 6 = 3*r, 2*g - 31 = -5*r. What is the greatest common factor of r and p? 1 Let b be 2/(-5) + (-422)/(-5). Suppose 4*z - 4*k = 80, -2*z - 4*z = -5*k - 121. What is the greatest common factor of b and z? 21 Let q(a) = -a**2 + 8*a + 4. Let p be q(8). Let o = -50 - -106. Suppose 3*g - p*h + 12 = 5*g, -3*h - o = -5*g. Calculate the greatest common divisor of 25 and g. 5 Let w(m) = 6*m**3 + 9*m**2 - m - 3. Let s(t) = t**3 + t**2 - t - 1. Let y(k) = -5*s(k) + w(k). Let r be y(3). What is the highest common factor of r and 7? 7 Let b be 962/14 + (27/21 - 1). Suppose -5*v + b = 79. Let y be v/(4 + -3) - (-2 + -28). Calculate the greatest common factor of 112 and y. 28 Let c(w) = -4*w - 9. Let v(f) = 8*f + 20. Let x(q) = -5*c(q) - 3*v(q). Let g = 15 - 24. Let j be x(g). Calculate the greatest common divisor of 84 and j. 21 Suppose 5*f - 3*d = 855, -4*f - 14*d + 684 = -11*d. What is the greatest common divisor of 747 and f? 9 Suppose 4*y = -8, -4*y = 2*p - y. Suppose -2*t - p*w = -52, -2*t + 2*w = 3*t - 168. What is the highest common divisor of 56 and t? 8 Suppose 4*c - 328 = -5*a, 5*c + 219 = 5*a - 2*a. Suppose 15 = -a*r + 73*r. Calculate the highest common divisor of r and 39. 3 Let u(m) = -m**3 - 5*m**2 - 3*m + 5. Let r be (-7 - -5) + 4/(-2). Let v be u(r). Let w be (-60)/(-5) - (v + 2). Calculate the highest common divisor of w and 9. 9 Let x(l) = -18*l**3 - 214*l**2 - 7*l + 24. Let b be x(-12). What is the greatest common divisor of b and 2640? 132 Let g(f) = f - 16. Let y be g(21). Let r(c) = c + 4. Let q be r(y). Let p = -187 - -286. What is the highest common divisor of p and q? 9 Let s = -7450 - -7801. Calculate the greatest common factor of 8541 and s. 117 Suppose -5*j = -a - 8069, -3*a = -j + 930 + 681. Calculate the highest common factor of j and 3. 3 Suppose b - 2 = 1, -b + 4 = f. Let w be 23 + f*14/2. Calculate the greatest common divisor of w and 24. 6 Suppose 0 = l + 3*o - 315, 21*l + 1480 = 26*l - 4*o. Let x = l - 296. Calculate the greatest common divisor of 196 and x. 4 Let r(s) = -s**2 + 852*s + 185862. Let u be r(-180). Suppose 0 = 3*y - 2*g - 150, -5*y + 225 = 3*g + 2*g. Calculate the greatest common divisor of u and y. 6 Let y(r) = 1 + 0 - 20*r - 6 - 40. Let z be y(-9). Suppose -2*g - 208 = -3*f, 2*f + 0*g = 5*g + z. What is the greatest common factor of f and 28? 14 Let h be (-11)/(-99) - 7/((-252)/824). Calculate the greatest common factor of 17779 and h. 23 Suppose -b - l - 157 = 0, 4*b - 3*l + 583 = 2*l. Let x = -241 - b. Let i = -53 - x. Calculate the greatest common factor of 18 and i. 18 Suppose -2*z = -k + 5*k - 6, 3*k = -z + 6. Suppose 425 + 103 = k*d. Let r = -1 - -23. What is the greatest common factor of r and d? 22 Suppose 22 = o - 2*f, -f = -4*o + f + 82. Suppose -17*n = -o*n + 21. Let h be -7*(-12)/756 + (-440)/(-9). What is the highest common divisor of n and h? 7 Suppose -k - 2*y + 18 = 0, -3*k = 74*y - 72*y - 42. What is the highest common divisor of k and 42684? 12 Suppose -l = 5*g + 346, g + 1753 = -5*l - g. Let y be (-2)/(-13) - 56457/l. What is the greatest common diviso
{ "pile_set_name": "DM Mathematics" }
- 2*r + r**4 + j*r wrt r. 4*r**3 Let h be (-216)/(-52) - 4/26. Find the second derivative of -6*d**h - d**4 + d + 4*d**4 - 2*d wrt d. -36*d**2 Find the second derivative of 93*w**2 - 93*w**2 + 3*w + 0*w**3 - 8*w**3 wrt w. -48*w Let m(t) be the first derivative of 0*t**3 + 0*t + 0*t**4 + 3/2*t**2 + 3 + 3/5*t**5. What is the second derivative of m(r) wrt r? 36*r**2 Let t(r) be the first derivative of -r**7/7 + 2*r**3 + 5. What is the third derivative of t(y) wrt y? -120*y**3 Let y = -1 + 3. Suppose y*k = 4*k - 8. Find the second derivative of -k*p**4 + p**5 + 4*p**4 + p wrt p. 20*p**3 Let s be (-10)/4*4/(-5). What is the third derivative of s*f**5 + 2*f**5 - 3*f**2 + 8*f**2 wrt f? 240*f**2 Differentiate 7*a**4 - 47*a + 47*a - 4 with respect to a. 28*a**3 Let p(q) = 9*q**3 - 10. Let u = 10 + -5. Let t(y) = 6*y**3 - 7. Let n(j) = u*p(j) - 8*t(j). What is the first derivative of n(z) wrt z? -9*z**2 Let f(p) be the second derivative of -p**5/20 - p**3/3 + 4*p. What is the second derivative of f(k) wrt k? -6*k Let j(t) be the third derivative of -3*t**2 + 0 + 0*t + 0*t**4 - 1/6*t**3 + 1/30*t**5. What is the derivative of j(d) wrt d? 4*d Let w(l) be the second derivative of -9*l**8/56 + 5*l**4/4 + 10*l. Find the third derivative of w(z) wrt z. -1080*z**3 Let d(l) = -l**4 + 2*l**3 + 2*l**2 - 2*l - 1. Let z(n) = 2*n**4 - 3*n**3 - 3*n**2 + 3*n + 2. Let c(t) = 3*d(t) + 2*z(t). What is the derivative of c(q) wrt q? 4*q**3 Let p(h) be the second derivative of h**7/210 - h**5/30 - h**2 - 4*h. Let u(k) be the first derivative of p(k). Find the third derivative of u(b) wrt b. 24*b Let r = 5 + -3. Differentiate -1 + 2*m**2 + r*m**3 - 2*m**2 - 4*m**3 wrt m. -6*m**2 What is the derivative of -13*s**3 + 49 + 46*s**3 - 78*s**3 wrt s? -135*s**2 What is the first derivative of 0*j**2 + 12 + 2*j**2 - 5 wrt j? 4*j Let p(h) = 1. Let j(r) = -26*r**2 + 16. Let q(u) = j(u) + p(u). Differentiate q(t) wrt t. -52*t Let b(v) = 2*v - 8. Let w be b(7). Suppose 0 = f - 3, 4*f = -n + 4*n + w. Find the first derivative of 3*r + 1 + 2*r**n - 3*r wrt r. 4*r Let v(t) be the first derivative of -t**4 + 17*t**2/2 + 2*t + 28. What is the second derivative of v(c) wrt c? -24*c Differentiate 13*x**4 + 0*x**4 + 5 - 2*x**4 wrt x. 44*x**3 Let l(o) = o + 3. Let s be l(2). Differentiate 13*g**4 - 5*g**4 + 16 - s - 13 with respect to g. 32*g**3 Suppose d + 5 = 0, -d = -2*h + 8 + 1. Suppose 0 = -3*i - 0*i + 15. Find the second derivative of -2*m + i*m - h*m**5 - 2*m wrt m. -40*m**3 Suppose 3*h - p = -14, 3*p - 2 = 4. Let w be (10/h)/(4/(-8)). What is the second derivative of -g + 2*g**w + 0*g + 0*g**5 wrt g? 40*g**3 Let j(n) = -4*n**4 + 2*n**2 + 2*n. Let d(y) = -y**4 + y**2 + y + 1. Let h(m) = 6*d(m) - 3*j(m). Differentiate h(i) with respect to i. 24*i**3 Let s(y) be the first derivative of 7*y**4/4 - y**2 - 47*y + 53. What is the first derivative of s(c) wrt c? 21*c**2 - 2 Let y be (27/(-18))/(2/4). Let g be (2 + -5)/(y/2). Find the third derivative of -3*l**2 + 4*l**4 + l**g - 7*l**4 - l**2 wrt l. -72*l Suppose 3*j + 2 = -1. Let u(l) = 3*l**2 + 2*l + 1. Let k be u(j). Differentiate n**k + 0 + 0*n**2 - 2 wrt n. 2*n Let j = 1 - -3. What is the derivative of -2 + x**j - 1 - 5*x**4 wrt x? -16*x**3 Let g be (-1)/7*2 - (-80)/35. Let u(b) = b**3 + 4*b**2 + 2*b - 1. Let d be u(-2). Find the third derivative of -d*t**3 - 2*t**g - 2 + 2 + 4*t**3 wrt t. 6 Let w(a) = a**3 - a**2 - 3*a + 1. Let g be w(3). Let l = -7 + g. What is the first derivative of 0*z**4 - 2 + 1 - 1 - l*z**4 wrt z? -12*z**3 Let s(y) be the first derivative of -4*y**5/5 + 5*y**2/2 - 5. Find the second derivative of s(i) wrt i. -48*i**2 Let t(i) = 51*i - 44. Let d(w) = -w - 1. Let g(r) = 3*d(r) + t(r). What is the first derivative of g(x) wrt x? 48 Find the third derivative of 0*i**6 - 3*i**6 - 5*i**6 - i**2 + 0*i**6 wrt i. -960*i**3 Let b(n) = n**3 - 5*n**2 - 5*n - 4. Let o be b(6). What is the second derivative of -2*k**o - k + 2 + 2*k - 2 wrt k? -4 Let c(y) = y**3 - 4*y**2 - 4*y - 5. Let k be c(5). Let p be 10/4 - 1/2. Find the third derivative of q**p + k*q**3 - q**3 + q**2 wrt q. -6 Let f be 36/27*(-3)/(-2). What is the second derivative of c - 3*c**2 - 2 + f wrt c? -6 Let k(a) = 16*a**3 - 7*a**2 - 12. Let z(d) be the second derivative of -d**5/4 + d**4/6 + 2*d**2 - d. Let h(l) = -2*k(l) - 7*z(l). Differentiate h(f) wrt f. 9*f**2 Let n be (-2)/1*(0 + -1). Differentiate -4 + 4 - 4 + i**n wrt i. 2*i Let v be (-3 - (-4 + 1))/(-2). What is the first derivative of 6*a**2 + 0*a + 7 + v*a + 4*a**2 wrt a? 20*a Suppose -5*f + 75 = -2*o, -3*f + 17 = 4*o - 54. What is the third derivative of 7*m**2 - f*m**4 + 17*m**4 + 6*m**6 wrt m? 720*m**3 Let q(b) = -6*b**4 - 3*b**2 + b - 3. Let v(l) = l**4 + l**2 + 1. Let h(p) = -2*q(p) - 6*v(p). What is the second derivative of h(d) wrt d? 72*d**2 Let k(s) be the first derivative of -5*s**6/3 + 13*s**2/2 - 1. What is the second derivative of k(a) wrt a? -200*a**3 What is the second derivative of -123*b - b**4 + 121*b + 0*b**4 wrt b? -12*b**2 Let x(n) = -8*n**4 + 4*n**3 - n. Let k(f) = f**4 - f**3 + f. Let c(r) = 4*k(r) + x(r). What is the second derivative of c(j) wrt j? -48*j**2 Let s = 37 + -37. Let p(l) be the third derivative of 1/20*l**5 - 1/8*l**4 + 0*l + 2*l**2 + s*l**3 + 0. Find the second derivative of p(o) wrt o. 6 Let z(i) be the first derivative of -2*i**3 + 6 + 7*i**2 + i**4 + 3*i**3 - 7*i**2. What is the third derivative of z(a) wrt a? 24 Let h(i) be the second derivative of i**7/504 + i**5/30 + i**4/6 + 6*i. Let b(t) be the third derivative of h(t). What is the first derivative of b(w) wrt w? 10*w Let f(p) = -14*p**3 + 3*p**2 + 3*p - 2. Let o(b) = 42*b**3 - 8*b**2 - 8*b + 7. Let c(x) = -8*f(x) - 3*o(x). What is the first derivative of c(u) wrt u? -42*u**2 Suppose k = -2*z - 3*k - 12, -3*k = -z + 4. Let m = 1 - z. Find the first derivative of 3*q**4 - 4*q**4 - m*q**4 - 3 wrt q. -16*q**3 Suppose -d + 3*s = -5, 2*d + 0*s + s - 3 = 0. What is the first derivative of -2*r - d + 1 - r + 0 wrt r? -3 Let i(l) be the first derivative of 5*l**3/3 - l**2/2 + 17. What is the second derivative of i(r) wrt r? 10 Let s(w) = -w - 1. Let v(h) = -7*h**3 + 5*h - 5. Let u(d) = 5*s(d) - v(d). Find the second derivative of u(g) wrt g. 42*g Let d(j) = j**4 + j**3 - 1. Let c(u) = -22*u**4 + 5*u**3 - 15. Let b(o) = -c(o) + 5*d(o). Differentiate b(t) with respect to t. 108*t**3 Let z(k) = k**3 + k**2 - k - 1. Let n(y) = -8*y**2 + 8*y + 18. Let b(j) = n(j) + 8*z(j). Find the first derivative of b(r) wrt r. 24*r**2 Let n be (-10)/4*4*-1. Suppose -3*x = -5*x + n. Find the third derivative of 0*i**x - 2*i**2 - i**5 - i**5 wrt i. -120*i**2 Let q be 2/6 + 10/6. Let o = -1 - -4. Differentiate o - 2 - 2 + 2*x**q with respect to x. 4*x Let b(g) be the first derivative of 0*g**2 + 0*g**3 - 4*g - 1 - 1/2*g**4. What is the first derivative of b(n) wrt n? -6*n**2 Let y = -13 - -18. Suppose 18 = y*z - 2*s, 0 = 2*z - s - 3 - 5. What is the third derivative of 6*i - 3*i**3 - 6*i - z*i**2 wrt i? -18 Let h(g) be the third derivative of -g**7/30 + 7*g**5/30 + 8*g**2. What is the third derivative of h(l) wrt l? -168*l Let j(c) = -4*c + 4. Let d(r) = -3 + 6*r - 3*r + 0*r. Let t(q) = 8*d(q) + 5*j(q). What is the first derivative of t(g) wrt g? 4 Let l(g) be the first derivative of 0*g**6 - 7 + 0*g + 0*g**5 + 0*g**2 + 0*g**4 + 3*g**3 - 9/7*g**7. Find the third derivative of l(u) wrt u. -1080*u**3 Let o(r) be the third derivative of 53*r**5/60 + 5*r**4/12 - 3*r**2 + 11. What is the second derivative of o(p) wrt p? 106 Let f(j) = j**4 + 1. Let g(u) = 11*u**5 + u**4 + 26*u + 1. Let h(s) = -f(s) + g(s). What is the second derivative of h(v) wrt v? 220*v**3 Let j be 1/((-1)/(-2)) - -1. Find the first derivative of 3*v**2 - 3*v**2 - 3*v**3 - j wrt v. -9*v**2 Suppose 0 = 4*c - 2*c + 4. Let w be -1*(c - -2) + 4. Differentiate -3 - 1 + 3 - j**w wrt j. -4*j**3 Let v(f) = -f**3 + 5*f**2 - 5*f + 3. Let q be v(3). Find the third derivative of -3*y**2 - 6 + q - 2*y**5 wrt y. -120*y**2 Let l(z) be the second derivative of z**5/20 - z**3/6 + 2*z**2 - 2*z. Let h be l(0). What is the second derivative of -p + 4*p**4 + p**h - 3*p**4 wrt p? 24*p**2 Find the first derivative of -33*d**2 + 56*d**2 - 20 - 39*d**2 wrt d. -32*d Let q be 6/(5 - 3) + -1. What
{ "pile_set_name": "DM Mathematics" }
Calculate the remainder when p is divided by 18. 16 Let t = -3 - -22. Suppose z - t = -5. Calculate the remainder when z is divided by 8/3*(-1 - -4). 6 Let l = 42 - 40. What is the remainder when 5 is divided by l? 1 Suppose 213 = 4*g + 89. What is the remainder when g is divided by (-4 - (1 - (-4 + -8)))*-1? 14 Suppose 56 = 6*q - 172. Calculate the remainder when q is divided by 13. 12 Suppose -3*t + 6 = -0*t. Suppose t*n = 1 + 11. What is the remainder when n is divided by 2? 0 Suppose -2*z = -0*z - 28. What is the remainder when 69 is divided by z? 13 Calculate the remainder when 11 is divided by ((-90)/10)/((-6)/4). 5 What is the remainder when 49 is divided by 13 + -5 + (1 - -1)? 9 Let z = -5 + 14. Let a be (1/3)/((-2)/6). Let i(h) = -16*h + 1. What is the remainder when i(a) is divided by z? 8 Suppose 2*l = 3*m + 2*m - 127, 0 = m + l - 31. Suppose 5*o - 88 = m. What is the remainder when o is divided by 12? 11 Let z(d) = -2*d**2 - 6*d - 3. Let b(y) = 5*y**2 + 17*y + 8. Let j(v) = -3*b(v) - 8*z(v). Let c = -60 - -67. Calculate the remainder when c is divided by j(4). 3 Let j = 51 + -20. What is the remainder when 122 is divided by j? 29 Let h = -6 + 21. Let u(b) be the first derivative of 2*b**3 + 2*b**2 - 3*b - 3. What is the remainder when u(2) is divided by h? 14 Suppose -j - 30 = -2*p + j, 3*p - 2*j - 46 = 0. Calculate the remainder when p is divided by 10. 6 Let a = -21 - -46. What is the remainder when 48 is divided by a? 23 Let c(m) = -m**2 - 9*m. Suppose -4*l + 28 = -5*t, -2*t = 4*l - t - 28. What is the remainder when c(-5) is divided by l? 6 Suppose 14 + 35 = 7*g. Calculate the remainder when (16 - -2)/1 - -2 is divided by g. 6 What is the remainder when 15 is divided by 2/3*(-16 - -31)? 5 Let b = -9 + 35. Let o be ((-5)/4)/((-3)/24). Suppose p - o - 19 = 4*s, -3*s = 3*p - 12. Calculate the remainder when b is divided by p. 8 Suppose 2*x - 114 = -5*s, -2*s = s + 12. What is the remainder when x is divided by 19? 10 Suppose 2*k = 2*d - 38, -4*d = d - 2*k - 89. Calculate the remainder when 2/(3/75*1) is divided by d. 16 What is the remainder when ((-1)/3)/(1/(-93)) is divided by -3 + 4 + 0 - -10? 9 Let i = 112 - 79. What is the remainder when i is divided by 19? 14 Let r be -1*3/3 + 6. Suppose a = -2*p + r, -a - 11 = p - 3*p. Let w = -11 + 21. What is the remainder when w is divided by p? 2 Let f(q) = q + 1. Let j be f(-7). Calculate the remainder when (-24)/j + (3 - 1) is divided by 2. 0 Calculate the remainder when -23*(-1 - (2 + 1)) is divided by 31. 30 Let i = -9 + 16. Let s = 17 - i. Calculate the remainder when 42 is divided by s/55 + 119/11. 9 Suppose 2*q = 7*q. Suppose 4*j + q = 8. Let n(d) = d**2 - 3*d + 1. What is the remainder when j is divided by n(3)? 0 Calculate the remainder when 96 is divided by (50/6)/((-6)/(-18)). 21 Let k = 10 - 11. What is the remainder when (2 - 22)/k - -1 is divided by 11? 10 Let b(l) = 4*l**2 + 12 + 11*l - 3*l**2 + 0*l. Let v(o) = o**2 + o - 8. Calculate the remainder when v(-6) is divided by b(-11). 10 Suppose 67 = -17*b + 560. What is the remainder when 141 is divided by b? 25 Let o = -61 + 63. Calculate the remainder when 5 is divided by o. 1 Let v = 2 - -2. Suppose 0 = v*p - 127 + 27. What is the remainder when p is divided by 13? 12 Suppose 2*r - 2 - 46 = 0. What is the remainder when 69 is divided by r? 21 Suppose 0 = -3*x - 2 - 10. What is the remainder when 23 is divided by (2/(-4))/(x/48)? 5 Let z = 12 + -8. Suppose -5*i + 2*i = -3*f - 9, z*f - i = 3. Suppose f*s - 12 - 18 = 0. Calculate the remainder when 42 is divided by s. 12 Let v(p) be the second derivative of p**4/6 + p**3/2 - 5*p. What is the remainder when 105 is divided by v(3)? 24 Let j(p) = p**2 - 4*p + 1. Suppose 4 = -2*d - d + 4*c, -3*c = -3*d. Calculate the remainder when 1/(((-16)/(-12))/(-4)) - -5 is divided by j(d). 0 Let w = 27 - -101. What is the remainder when w is divided by 26? 24 Suppose -2*s = -4*j + s + 192, 5*j - 5*s - 235 = 0. What is the remainder when j is divided by ((-52)/(-6))/(60/(-18) - -4)? 12 Let n(x) = -x**2 + 7*x + 4. What is the remainder when 14 is divided by n(7)? 2 Suppose -i + 5*c - 70 = 3*i, 2*i = -2*c - 26. Calculate the remainder when 7 is divided by (12/(-9) - -1)*i. 2 Suppose 2*q + 0 = 8, z - 4*q + 16 = 0. Let m(w) = -w**2 - w + 6. Let u(b) = 4*b - 3. Calculate the remainder when u(6) is divided by m(z). 3 Let l = -4 + 4. Suppose l*a = -2*a + 42. Suppose -2*c + 2 = 8, 2*c + a = 5*y. Calculate the remainder when y is divided by 3. 0 Suppose -12 = r + r. Calculate the remainder when 7 is divided by (-5 - r)/((-2)/(-8)). 3 Suppose -3*b - 3*a + 180 = 0, -5*a - 148 = -5*b + 2*b. Calculate the remainder when b is divided by 19. 18 Let b(t) = 4*t - 20. Calculate the remainder when b(15) is divided by 21. 19 Let l = -2 - -2. Suppose -j + 6 = 3*g, l = -4*j + 5*j - 5*g - 22. Suppose -n = -4*n + j. Calculate the remainder when 13 is divided by n. 1 What is the remainder when 55 is divided by ((-98)/(-21))/((-1)/(-3))? 13 Let s = 4 - 3. Let a be (-15)/(-3) - s/1. What is the remainder when 26 + 1 + (a - 5) is divided by 14? 12 Calculate the remainder when 26 is divided by (-2)/(6/21 - (-120)/(-273)). 0 Suppose s - 5*s = 4*o - 40, 0 = 3*s + 4*o - 34. Calculate the remainder when 20 is divided by s. 2 Let i be (12/8)/((-3)/(-78)). Let n = i + 25. Calculate the remainder when n is divided by 33. 31 Let h be 0 - (-1 + -51) - 0. Let i = h - 20. Let f(b) = b**2 - 2*b + 3. Calculate the remainder when i is divided by f(4). 10 Let b(k) = k**3 - 2*k**2 - 6*k + 2. Let o be ((-4)/(-5))/(2/140). Calculate the remainder when 9/6*o/3 is divided by b(4). 8 Let l = 19 - 13. Let y(o) = o**3 + 5*o**2 - 8*o - 2. Let z be -6 - 0/((-2)/(-2)). Calculate the remainder when y(z) is divided by l. 4 Let g(v) = -v**3 + 3*v**2 + 3*v + 5. Let m be g(4). Calculate the remainder when ((-31)/4)/(3/(-12)) is divided by (-2 - -1) + m - -11. 9 Suppose -4*o + 3 = -9. Suppose o*q = -5*r + 53, 35 = 2*q - 3*r + 6. Calculate the remainder when 31 is divided by q. 15 Let f be (0/(-1) + 1)*6. Suppose -h = -5*q - 8, 2*q = f*q - h + 6. What is the remainder when (4/(-6))/(q/57) is divided by 10? 9 Let z = 30 - 27. Suppose -3*q - z = -12. Let k(l) = -l**3 + 3*l**2 + 4*l - 2. What is the remainder when k(3) is divided by q? 1 Let k = -20 + 41. Let g = k - 8. What is the remainder when 37 is divided by g? 11 Let h(d) = -3*d**2 - d + 2. Let p be h(-2). Let a = -17 - p. Let l(r) = -r**2 - 12*r - 11. What is the remainder when 46 is divided by l(a)? 14 Let k = 41 - 19. What is the remainder when 195 is divided by k? 19 Let f be ((1 + 0)*1)/1. Calculate the remainder when 62 is divided by 1 - (-12 - (f - -2)). 14 Calculate the remainder when (7/(-7))/(2/(-58)) is divided by 8. 5 Suppose -5*x - 22 = -62. What is the remainder when 54 is divided by x? 6 Suppose -4*h + 32 = 4. Let p = -3 + h. Suppose -x - p*x = -2*k + 83, 0 = 4*x - 4. Calculate the remainder when k is divided by 15. 14 Suppose 5*w + 36 = u, -2*w = -3*u + 32 + 11. Let x(y) = y + 6. Calculate the remainder when u is divided by x(0). 5 Calculate the remainder when 52 is divided by 31*1 - (33 + -30). 24 Suppose -3 = 3*s - 0. Let k(n) = 54*n**2 - 2*n - 1. Calculate the remainder when k(s) is divided by 29. 26 Let v = -29 + 16. Let n = v - -28. Suppose 3*b - n = -u, -5*u + 0*u - b = -33. What is the remainder when 9 is divided by u? 3 Let g(f) = 9*f**2 - f + 1. Let p be g(1). Let k be (-1)/3 - (-3)/p. Let h(x) = -x**3 - x**2 + x + 2. What is the remainder when h(k) is divided by 2? 0 Let q be -1 + 1 - (0 - -3). Calculate the remainder when 7 is divided by 5*-3*q/15. 1 Let i(t) = -3*t - 3. Let c be i(-7). Let o = -4 + -5. Let h = c + o. Calculate the remainder when 25 is divided by h. 7 Calculate the remainder when (-9 + 6)/(2/58*-1) is divided by 15. 12 Let b(r) = -4*r**3 - 2*r**2 - r + 2. Let w be b(-3). Suppose -4*z = -w - 65. What is the remainder when z is divided by 14? 12 Calculate the remainder when ((-560)/(-24))/((-2)/(-3)) is divided by 13. 9 Suppose 18 = -5*w - 167. Let q = w + 87. What is the remainder when q is divided by 13? 11 Let s(w) = w**3 - 3*w**2 + 10*w - 10. Calculate the remainder when s(6) is divided by 40. 38 Let o = -8 - -12. Suppose -b - 6 - 8 = -f, o*b = 12.
{ "pile_set_name": "DM Mathematics" }
the prime factors of 3519557? 191, 18427 List the prime factors of 77606035. 5, 13, 1193939 List the prime factors of 41882126. 2, 11, 13, 23, 6367 What are the prime factors of 493003352? 2, 41, 1503059 List the prime factors of 2536084062. 2, 3, 140893559 List the prime factors of 17228604. 2, 3, 53, 103, 263 List the prime factors of 7483193977. 7, 17, 62883983 What are the prime factors of 4124722711? 19, 89, 2439221 List the prime factors of 4863501573. 3, 7, 19, 2741, 4447 What are the prime factors of 132463001? 11, 12042091 List the prime factors of 215104475. 5, 53, 162343 List the prime factors of 65418310. 2, 5, 6541831 List the prime factors of 5522148994. 2, 571, 1129, 4283 What are the prime factors of 531555671? 531555671 What are the prime factors of 33319319? 11, 163, 18583 List the prime factors of 2730368628. 2, 3, 13, 19, 5387 List the prime factors of 659704908. 2, 3, 54975409 List the prime factors of 168523357. 1889, 89213 What are the prime factors of 737444678? 2, 31, 173, 197, 349 List the prime factors of 594575132. 2, 19, 7823357 List the prime factors of 5293155632. 2, 17, 29, 671039 What are the prime factors of 978257818? 2, 489128909 List the prime factors of 2310393456. 2, 3, 7, 28297 What are the prime factors of 44903642? 2, 7, 1061, 3023 What are the prime factors of 6916665276? 2, 3, 64043197 List the prime factors of 1352755933. 1352755933 List the prime factors of 129995147. 129995147 What are the prime factors of 94691752? 2, 11836469 List the prime factors of 6420045747. 3, 2140015249 List the prime factors of 87428018. 2, 43714009 What are the prime factors of 305647293? 3, 7, 14554633 List the prime factors of 10696964. 2, 2674241 List the prime factors of 144838279. 144838279 List the prime factors of 50670184. 2, 1423, 4451 List the prime factors of 1257578188. 2, 89, 3532523 What are the prime factors of 82107560? 2, 5, 2052689 What are the prime factors of 1078929875? 5, 61, 141499 What are the prime factors of 1720639225? 5, 89, 8689 List the prime factors of 1147854006. 2, 3, 13, 257, 19087 List the prime factors of 2520797161. 37, 68129653 What are the prime factors of 258683778? 2, 3, 31, 53, 8747 List the prime factors of 1418031729. 3, 31, 5082551 What are the prime factors of 527665845? 3, 5, 7, 5025389 List the prime factors of 27413019. 3, 643, 1579 What are the prime factors of 790753970? 2, 5, 19, 1831, 2273 List the prime factors of 13111473. 3, 1019, 4289 What are the prime factors of 25476232? 2, 3184529 What are the prime factors of 19902887? 19902887 List the prime factors of 324629353. 1163, 279131 What are the prime factors of 164904908? 2, 7, 5889461 What are the prime factors of 2316946372? 2, 13, 4231, 10531 List the prime factors of 331444946. 2, 7, 43, 401, 1373 What are the prime factors of 513104910? 2, 3, 5, 17103497 What are the prime factors of 35227266? 2, 3, 5871211 List the prime factors of 312334530. 2, 3, 5, 839, 12409 What are the prime factors of 4968147528? 2, 3, 29, 149, 5323 What are the prime factors of 1210848800? 2, 5, 7, 17, 23, 79 What are the prime factors of 2584689779? 7, 52748771 What are the prime factors of 52335845? 5, 103, 151, 673 What are the prime factors of 874359458? 2, 7, 1471, 42457 What are the prime factors of 86229308? 2, 11, 431, 4547 What are the prime factors of 69303650? 2, 5, 13, 106621 List the prime factors of 424577996. 2, 106144499 What are the prime factors of 425004083? 7, 71, 173, 4943 What are the prime factors of 388268555? 5, 7537, 10303 List the prime factors of 54107699. 54107699 What are the prime factors of 62481356? 2, 7, 2231477 List the prime factors of 1995599006. 2, 101, 107, 127, 727 What are the prime factors of 1041245876? 2, 11, 23664679 What are the prime factors of 923146563? 3, 17, 2417, 7489 What are the prime factors of 87625013? 7, 43, 291113 List the prime factors of 1388801578. 2, 107, 211, 30757 List the prime factors of 51662889. 3, 5740321 What are the prime factors of 1250414671? 11, 59, 83, 139, 167 List the prime factors of 20359795. 5, 17, 239527 What are the prime factors of 167032087? 167032087 List the prime factors of 210924605. 5, 19, 23, 37, 2609 List the prime factors of 624293804. 2, 331, 471521 What are the prime factors of 1320949246? 2, 29, 31, 251, 2927 List the prime factors of 285183812. 2, 1013, 70381 List the prime factors of 84096020. 2, 5, 1097, 3833 What are the prime factors of 10447148? 2, 53, 49279 List the prime factors of 350255188. 2, 87563797 What are the prime factors of 95834898? 2, 3, 19, 280219 List the prime factors of 118237779. 3, 11, 19, 23, 911 What are the prime factors of 1933180032? 2, 3, 7, 719189 List the prime factors of 456276131. 456276131 What are the prime factors of 1398436385? 5, 19, 774757 What are the prime factors of 1537826479? 7, 457, 647, 743 List the prime factors of 767156656. 2, 7, 509, 13457 What are the prime factors of 542032222? 2, 8059, 33629 What are the prime factors of 17586889? 31, 567319 What are the prime factors of 107745088? 2, 11, 31, 4937 What are the prime factors of 7052889? 3, 67, 35089 List the prime factors of 32706532. 2, 59, 138587 List the prime factors of 331669327. 11, 2689, 11213 List the prime factors of 2117829. 3, 7, 14407 List the prime factors of 86276932. 2, 7, 3081319 List the prime factors of 261255885. 3, 5, 11, 1583369 What are the prime factors of 483956472? 2, 3, 20164853 List the prime factors of 184887379. 31, 443, 13463 List the prime factors of 1955698777. 1955698777 List the prime factors of 182498695. 5, 36499739 What are the prime factors of 97486810? 2, 5, 9748681 What are the prime factors of 199838495? 5, 39967699 What are the prime factors of 254952629? 59, 4321231 What are the prime factors of 1159005254? 2, 11, 52682057 List the prime factors of 2098660103. 31, 71, 953503 What are the prime factors of 3948107893? 3948107893 What are the prime factors of 1288003960? 2, 5, 83, 387953 What are the prime factors of 1937981054? 2, 223, 4345249 List the prime factors of 6630823. 97, 197, 347 List the prime factors of 3761323440. 2, 3, 5, 7, 17, 61, 127 What are the prime factors of 6688901722? 2, 23, 43, 78643 List the prime factors of 18782839. 18782839 What are the prime factors of 34255672? 2, 11, 389269 List the prime factors of 2119726685. 5, 17, 997, 25013 What are the prime factors of 3053163906? 2, 3, 13, 29, 449921 List the prime factors of 80728186. 2, 7, 11, 74887 List the prime factors of 2348670187. 2348670187 What are the prime factors of 30549628? 2, 7637407 What are the prime factors of 54137768? 2, 23, 294227 What are the prime factors of 265140950? 2, 5, 5302819 What are the prime factors of 469565813? 71, 6613603 List the prime factors of 239359838. 2, 119679919 What are the prime factors of 6314059643? 6314059643 List the prime factors of 751997572. 2, 12433, 15121 What are the prime factors of 383202025? 5, 43, 356467 What are the prime factors of 564998185? 5, 269, 420073 What are the prime factors of 1607444638? 2, 491, 1636909 What are the prime factors of 18606603? 3, 29, 31, 6899 List the prime factors of 72896954. 2, 13, 43, 65203 What are the prime factors of 69245031? 3, 23081677 What are the prime factors of 123991924? 2, 7, 4428283 What are the prime factors of 44393309? 103, 293, 1471 What are the prime factors of 346201388? 2, 13, 1877, 3547 List the prime factors of 6710031. 3, 193, 3863 What are the prime factors of 48092364? 2, 3, 1335899 What are the prime factors of 150233608? 2, 7, 19, 23, 877 List the prime factors of 565665131. 19, 53, 561733 What are the prime factors of 7648879? 7, 181, 6037 List the prime factors of 29192377. 151, 193327 What are the prime factors of 893410514? 2, 19, 31, 61, 12433 List the prime factors of 4129699046. 2, 11, 187713593 List the prime factors of 560345725. 5, 2267, 9887 What are the prime factors of 2454776413? 2454776413 List the prime factors of 265224431. 23, 47, 107, 2293 List the prime factors of 30636197. 30636197 What are the prime factors of 20972380? 2, 5, 11, 13, 7333 What are the prime factors of 445525666? 2, 29, 43, 178639 What are the prime factors of 171310940? 2, 5, 109, 78583 List the prime factors
{ "pile_set_name": "DM Mathematics" }
der when (-2 + 45)/(578/187 + -3) is divided by 232. 9 Suppose -2*l + 3*i = 7*i - 32, 4*l = 4*i + 124. Let y(g) = -4*g**2 - 360*g + 1927. What is the remainder when y(-95) is divided by l? 1 Suppose 964 = 17*t - 192. Suppose -3 = -3*q - 9, t = 5*j - 4*q. What is the remainder when j is divided by 3 + (-2 - (2 + -9))? 4 Let q(u) = -663*u + 14. Let x be q(-2). Suppose b - 6*b - 5*s = -x, 3*b - 796 = -s. Calculate the remainder when b is divided by 38. 36 Let a be (-54)/15*(-150)/45. Suppose -54 = -3*v - 2*h, 24 = 2*v + 3*h - a. Calculate the remainder when 123 is divided by v. 15 Let z(u) = 8*u**2 - 36*u - 35. What is the remainder when z(-8) is divided by 78? 63 Suppose 0 = 5*p - 5*k - 140, -2*p = -46*k + 43*k - 52. What is the remainder when 7356 is divided by p? 28 Let d(p) = -p**3 - 6*p**2 - 17*p - 319. Calculate the remainder when d(-10) is divided by 29. 19 Suppose w + 2319 = y + 300, 5*w = -3*y + 6097. What is the remainder when y is divided by 1006? 12 Let b = 4 - 4. Let p be (-1696)/(-6) + (-10)/15. Suppose b = -5*d + 28 + p. Calculate the remainder when d is divided by 32. 30 Suppose 5*m - 48 = 9*m + 4*o, -2*o + 48 = -4*m. What is the remainder when 87 is divided by (-10 - -6) + (0 - -3 - m)? 10 Suppose 745 = -5*f + 215. Let n = -71 - f. What is the remainder when 125 is divided by n? 20 Let f = 9418 - 9119. Calculate the remainder when f is divided by 116. 67 Suppose 4*m + 8 + 40 = 2*r, -16 = 4*m. What is the remainder when 4/(-32)*-4*10 - -88 is divided by r? 13 Suppose -5*p - 938 = -6518. What is the remainder when p is divided by 26? 24 Let k(l) = -l**2 + 6*l + 48. Let c(b) = -4*b**2 + 19*b + 144. Let t(y) = -6*c(y) + 17*k(y). What is the remainder when 150 is divided by t(-3)? 48 Suppose -2*y + 5*y - 9 = 0. Suppose 9 = 6*f - y. Suppose 2*q + 18 + 14 = 3*k, -k = -f*q - 16. What is the remainder when 21 is divided by k? 5 Let v = -128 + 267. Let g = -138 + v. Calculate the remainder when 33 + (-6 - (-5)/g) is divided by 3. 2 Suppose b + 2*s + 245 = 0, s + 244 + 6 = -b. Let z = b + 296. What is the remainder when z is divided by 26? 15 Let m(r) = r**3 + 8*r**2 - 12*r - 33. Let n = -217 + 209. What is the remainder when m(n) is divided by 18? 9 Let t(x) = x + 16. Let l be -4 + (-2 - -3 - 5). Let m be t(l). Let h = 20 + m. What is the remainder when 54 is divided by h? 26 Let q = 1208 + -12. Calculate the remainder when (-2)/9 - q/(-36) is divided by 344/(-1548) + 94/18. 3 Suppose 19714 - 476 = 128*q + 1958. Calculate the remainder when 153 is divided by q. 18 Let l = -94 - -100. Suppose 934 - 412 = 6*w. What is the remainder when w is divided by l? 3 Suppose -3*m + 18 = -0*s - 3*s, -12 = -5*m - 4*s. Suppose 5*y - 388 = m*h, -3*y - 3*h + 144 = -78. What is the remainder when y is divided by 65? 11 Let d(m) = -m**2 + m + 97. Let z be d(0). Suppose 0 = -j + 2*u + 4, -5*j - 6*u = -7*u - 47. Suppose 3*o + j = z. What is the remainder when o is divided by 15? 14 Let g(h) = -2*h**3 - 3*h**2 + 25*h + 244. Calculate the remainder when g(-22) is divided by 13. 12 Let h be (708/(-24))/(2/(-8)). Let a = h + -116. What is the remainder when 24 is divided by a? 0 Let x be 4/(-5) - (-1278)/(-15). Let m = 300 - x. Calculate the remainder when m is divided by 65. 61 Suppose z - 244 = -25*k + 28*k, 4*z = -3*k + 1021. Let v = -182 + z. What is the remainder when v is divided by 27? 17 Suppose -1456 = -14*n + n. What is the remainder when n is divided by 56? 0 Suppose 0 = -4*x - x + 115. Let v(r) = r**2 - 49*r + 607. Calculate the remainder when v(32) is divided by x. 17 Suppose -m - 21 = -c, -m - 70 = -5*c - 3*m. Suppose -c*o = -170 - 390. What is the remainder when o is divided by 13? 9 Let r = 274 - 300. Suppose -3*l = -47 - 40. Let i = l + r. Calculate the remainder when 5 is divided by i. 2 Suppose 5*t = 2*l + 7, 5*l + 30 = -3*t + 59. Calculate the remainder when 319 is divided by (l/(-7))/((-6)/147 - 0). 11 Suppose -102*c - 36 = -111*c. Suppose c*t = -9*q + 8*q + 36, 3*t + 4*q - 40 = 0. What is the remainder when t is divided by 5? 3 Suppose -4*i + i = -3*j - 894, -3*j + 2*i - 891 = 0. Let d = j - -318. Calculate the remainder when 108 is divided by d. 16 Suppose u - 2*h = -0*h + 9, -5*u = 4*h + 11. Suppose -2*z + u + 7 = 0. Calculate the remainder when -24*(-1 + z/(-6)) is divided by 15. 10 Let b = -243 - -351. Suppose 5*m = b + 57. Calculate the remainder when m is divided by (-20)/(-600)*-18 - 38/(-5). 5 Suppose -2*v + 3*v - 3*k + 7 = 0, 5*k - 33 = -v. Suppose -81*g + 54*g + 999 = 0. Calculate the remainder when g is divided by v. 5 Suppose -217*b + 47304 = -55*b. What is the remainder when b is divided by 94? 10 Suppose 0 = -12*n - 93 - 75. Let l(h) = 2*h**2 + 23*h - 17. Suppose -2*f - 1 = -39. What is the remainder when l(n) is divided by f? 15 Suppose 3 = -0*g - g, 0 = 5*a + 3*g - 1571. Suppose 0*t + 48 = t - 4*w, 5*t - w = a. Let b = t - 17. What is the remainder when b is divided by 12? 11 Let f = -12 - -15. Suppose -g = 4*y - 65, g - f*y = -y + 41. Calculate the remainder when 1149/12 + 4/16 is divided by g. 47 Suppose -36*b + 474 = -34*b + h, 3*b = -4*h + 696. Suppose 7*f - 33 = 4*f. Calculate the remainder when (f/(-3))/((-10)/b) is divided by 31. 26 Let p = -18 + 84. Suppose -27*o + 24*o + p = 0. What is the remainder when o is divided by 21? 1 Suppose 0 = -l + 2, 37*l - 39*l - 281 = -3*j. Calculate the remainder when 389 is divided by j. 9 Suppose 0 = -7*o - 48*o - 58*o + 230972. Calculate the remainder when o is divided by 84. 28 Let v = 41 + -36. Suppose -182 = -v*j - 2*j. What is the remainder when 98 is divided by j? 20 Suppose 4*w - 696 = 4*b, 239*b + 332 = 2*w + 238*b. Suppose g - 4*r - 18 = 6, -3*r = 0. Calculate the remainder when w is divided by g. 14 Let s = -4514 + 4652. Calculate the remainder when 1100 is divided by s. 134 Suppose -129*d + 1980 = -30*d. What is the remainder when d is divided by 16? 4 Suppose 2*r + 6 = 0, q = 2*q + r. Suppose -q*d - 3*d = -66. Calculate the remainder when 65 is divided by d. 10 Suppose -7*d + 104 = 34. Suppose 18*w - 24*w + 828 = 0. What is the remainder when w is divided by d? 8 Suppose -56*g + 580 + 765 + 335 = 0. Calculate the remainder when 135 is divided by g. 15 Let t(w) = 1651*w - 4449. What is the remainder when t(3) is divided by 86? 74 Suppose -3*d + 2*z + 14 = d, 0 = -4*d - z + 5. Let g(u) = -2*u**2 - 4 - 5*u - 1 + d*u**2 + 7*u**2. Calculate the remainder when g(-2) is divided by 7. 5 Suppose f - 19*f = -6912. Suppose -8*c - 32 = -f. Calculate the remainder when c is divided by 15. 14 Suppose -j - 13 = -17. Let r be 5*(2 - (-5)/(-25)). What is the remainder when ((2 - j) + 5)/(r/159) is divided by 9? 8 Let h = 3221 - 2237. Suppose 0 = -7*m + 15*m - h. What is the remainder when m is divided by 18? 15 Let n = -24731 + 27987. What is the remainder when n is divided by 19? 7 Let k(z) = 11*z**2 - 116*z - 45. Calculate the remainder when 15758 is divided by k(11). 8 Let n(y) = 5*y + 28. Calculate the remainder when 744 is divided by n(16). 96 Suppose m + 347 = 4*x, 3*x - 261 = -30*m + 31*m. Calculate the remainder when x is divided by 15. 11 Let x be (18/27)/((-3)/(-99)). Suppose 5*c = -q - q + 59, q - 5*c - x = 0. What is the remainder when (-4)/(-18) + 399/q is divided by 8? 7 Let m be (10/3)/((-1)/(2 - -1)). Let a = m - 60. Let p = 86 + a. What is the remainder when 31 is divided by p? 15 Let g = 3327 - 3214. What is the remainder when 440 is divided by g? 101 Suppose 30*t = 271*t - 403193. Calculate the remainder when 1681 is divided by t. 8 Let i = 85 + 6. Let j = 93 - i. Let w(d) = 45*d + 6. Calculate the remainder when w(j) is divided by 14. 12 Let o(w) = -23*w**3 + 16*w**2 + 13*w + 5. Calculate the remainder when o(-4) is divided by 840. 1 Suppose -5*u + 5*t + 30 = 0, -5 = 3*u - 5*t - 31. Suppose -u*g = 27*g - 145. What is the remainder when 39 is divided by g? 4 Suppose -f + 31836 = 11*f + 16*f. Calculate the remainder when f is divided by 106. 77 Suppose -148*v + 159*v = 462. What is the remainder when 5585 is divided by v? 41 Let p(s) = 17*s**2 + 800*s + 55. Calculate the remainder when 14 is divided by p(-47). 6 Suppose 23*f = 22*f - 3*g + 13651, -5*f = 4*g - 68156. Calculate the remainder when f is divided by 6. 4 Suppose 28*s - 32*s = -1804. Suppose -6*p = -5*c - 3
{ "pile_set_name": "DM Mathematics" }
4*c - 3*a + 3 = -4, -5*a + 25 = 0. Let n(g) = -g + 3 + g**c - 8 + 3*g - g. What is 9*f(p) + 2*n(p)? 2*p**2 + 2*p - 1 Let j(i) = -i + 1. Suppose -11*c = -7*c + 4. Let o(f) = f - 5. What is c*o(t) - 4*j(t)? 3*t + 1 Let u(p) = 2*p + 3. Suppose 4*l - 3*r = 0, r - 1 = l - 2. Let k(v) be the second derivative of -v**3/6 - v**2/2 + v. Calculate l*k(n) - u(n). n Let s(i) = 0 + 6 + 0*i + 9*i - 6*i + 3*i. Let o(l) = 3*l + 3. Determine -5*o(q) + 3*s(q). 3*q + 3 Let x(k) = 1. Suppose -48 = -5*w - 33. Let f(c) = c**2 + 9*c + 9. Let t be f(-8). Let r(p) = 3*p - 1. Give t*r(d) + w*x(d). 3*d + 2 Let a(m) = 1. Let w be 24/(-16)*(-10)/(-15). Let l(v) be the first derivative of v**4/4 - 2*v**3/3 + v**2 + 5*v - 1. Determine w*l(k) + 5*a(k). -k**3 + 2*k**2 - 2*k Let i(d) = -18*d - 8. Let k(x) = 46*x + 15. Determine -7*i(j) - 3*k(j). -12*j + 11 Let i(d) = -73. Let v(m) = 44. Let g(p) = 3*i(p) + 5*v(p). Let x(z) = -z. Let o(n) = -6*n + 1. Let c(a) = -o(a) + 5*x(a). Calculate 3*c(k) + 3*g(k). 3*k Let c(z) = 3*z**3 + 6*z**2 - 5. Suppose 3*v = 2*v + 5. Let f(o) = -32 - 2*o**3 - 26 + 87 - 25 - 5*o**2. Let t be (6/(-5))/(3/(-10)). Calculate t*c(y) + v*f(y). 2*y**3 - y**2 Let o(t) = -t - 1. Let k(m) = m - 1. Let b be k(6). Let s be 0 + 1 - (-3 - 0). Let u(a) = -s*a**2 - 2 - a + b*a**2 - a. Calculate -6*o(n) + 2*u(n). 2*n**2 + 2*n + 2 Let f(r) = -3*r**3 - 57*r**2 - 6*r + 6. Let n(u) = 5*u**3 + 114*u**2 + 11*u - 11. Determine -11*f(c) - 6*n(c). 3*c**3 - 57*c**2 Let f(b) = -7*b**2 - 42. Let v(a) = -15*a**2 - 85. Give -13*f(d) + 6*v(d). d**2 + 36 Let z(i) be the third derivative of i**5/60 + i**4/8 + i**3/6 - 270*i**2. Let r(c) = -2*c**2 - 5*c - 2. Calculate -5*r(j) - 8*z(j). 2*j**2 + j + 2 Let j(n) = -43 - 39 + 9 + 9 + 4*n + 36*n. Let w(r) = -3*r + 5. Give 5*j(c) + 64*w(c). 8*c Let k(q) = 13393*q**2 + 295. Let v(x) = -181*x**2 - 4. Determine -4*k(m) - 295*v(m). -177*m**2 Let w(d) = 3*d + 1. Let o(t) = 10*t - 74. Determine -o(a) + 4*w(a). 2*a + 78 Let c(z) = 2*z - 4. Let p be 2 + 1 + -8 + 2 + -1. Let t(h) be the third derivative of -h**4/24 + h**3/2 + 4*h**2. Give p*c(o) - 5*t(o). -3*o + 1 Let a(b) = -100*b - 17. Let h(g) = -200*g - 41. Determine 5*a(k) - 2*h(k). -100*k - 3 Suppose -5 = j - 0. Let w(t) = 177*t + 48. Let m(z) = -22*z - 6. Let h(l) = -51*m(l) - 6*w(l). Let k(i) = 17*i + 5. Determine j*h(c) + 18*k(c). 6*c Let k(n) = 24*n**2 + 10*n - 14. Let q be 8/(-6)*245/(-196). Let z(b) be the first derivative of q*b**3 - 3*b + b**2 - 1. Determine 3*k(y) - 14*z(y). 2*y**2 + 2*y Let g(h) = -2*h**3 + 6*h**2 - 8. Let u(s) = 4*s**3 - 13*s**2 + 17. Let t = 584 + -571. Give t*g(y) + 6*u(y). -2*y**3 - 2 Let p(a) = 13*a**2 + 50*a - 13. Let n(q) = 7*q**2 + 24*q - 7. Determine -11*n(s) + 6*p(s). s**2 + 36*s - 1 Let r(m) = 135*m - 142*m + 8 - 2. Let g(t) = 20*t - 17. Suppose -a + 2 = -4. Determine a*g(v) + 17*r(v). v Let h(i) = -5*i - 3. Let a(b) = -9*b - 5. Let t be (2 + 3/(-2))/((-1)/110). Let v = -49 - t. What is v*a(r) - 11*h(r)? r + 3 Let i be 1/3*(7 - 4). Let t(m) = -m + 1. Let c(y) = 14*y + 1. Let g(l) = 32*l + 2. Let b(d) = 7*c(d) - 3*g(d). Determine i*b(r) - t(r). 3*r Let o(j) = j + 2. Let c(z) = 8*z + 13. Let l(a) = a + 7. Let i be l(-4). Let y(n) = -n - 1. Let m(q) = i*y(q) + c(q). Give -2*m(s) + 11*o(s). s + 2 Let b(v) = 20*v - 5. Suppose -4*s - 2*g - 4 = -2, -10 = 2*s - 2*g. Let f(j) = 4*j - 1. Calculate s*b(p) + 11*f(p). 4*p - 1 Let w(b) = -111*b**2 + 9*b + 7. Let c(x) = 55*x**2 - 5*x - 4. Calculate -5*c(g) - 3*w(g). 58*g**2 - 2*g - 1 Let d(b) = 415*b**2 + 3*b - 2. Let i(s) = 417*s**2 + 4*s - 2. Give 4*d(z) - 3*i(z). 409*z**2 - 2 Let k(b) = 6*b - 77. Let y(p) = 5*p - 79. Calculate 3*k(s) - 4*y(s). -2*s + 85 Let s(j) = -j - 1. Let x(k) = -7*k - 382. Calculate -5*s(p) + x(p). -2*p - 377 Let j(v) = 2*v + 4. Suppose 4*g = -3*m + m + 86, 3 = 3*m. Let t = g + -12. Let o(h) be the second derivative of -h**3/6 - h**2 - 2*h. Calculate t*o(f) + 4*j(f). -f - 2 Let y(v) = -119*v. Let m(n) = -1780*n. Give -6*m(f) + 89*y(f). 89*f Let h(s) = -17*s**3 + 10*s - 7. Let v(y) = -6*y**3 + 3*y - 2. Let q = 687 - 694. Give q*v(o) + 2*h(o). 8*o**3 - o Suppose 0 = -2*a - 3*a + 15. Suppose 0 = f + 4*j + 2, 5*f + 2*j + 31 = a*j. Let r(i) = 2*i**3 + 6*i + 5. Let d(s) = 3 - 4 + 2 + s. Determine f*d(g) + r(g). 2*g**3 - 1 Let q(y) = -15*y + 21. Let m be 4/(-8)*7*2. Let s = m + 28. Let o(w) = 3*w - 4. Determine s*o(j) + 4*q(j). 3*j Let z(c) = c - 6. Let n(x) = -x + 5. Let h be (10/6)/((-2)/(-6)). What is h*z(f) + 6*n(f)? -f Let s(a) = -6*a**2 - 3. Let d = 17 + -18. Let z(r) = 7*r**2 + r + 3. Let v be z(0). Let b(g) = -g**2 - 1. Determine d*s(m) + v*b(m). 3*m**2 Let w(g) = -g**3 - g**2 + 2*g. Let p(r) = -r. Suppose -2*h = 2*m, -2*m + 6*m + 18 = 5*h. Calculate h*p(d) + w(d). -d**3 - d**2 Let t(a) = -5*a. Let k(v) = -18*v - 315. Give k(d) - 4*t(d). 2*d - 315 Let i(w) = -7*w + 7. Let t(p) = -6*p + 9. What is 4*i(r) - 5*t(r)? 2*r - 17 Let q(i) = i**2 + 8*i - 5. Let v(r) = 13*r + 5. Let n(t) = -28*t - 11. Let g(c) = -6*n(c) - 13*v(c). Determine -5*g(u) - q(u). -u**2 - 3*u Let m be -14 + 8 - (2 + -3). Let i(n) = 11*n - 5. Let x(v) = 54*v - 24. What is m*x(q) + 24*i(q)? -6*q Let t = -20 - -11. Let b(a) = -a - 3 - 4 - 2*a + 2 + 0. Let s(j) = j + 1. Calculate t*s(g) - 2*b(g). -3*g + 1 Let j(c) = 13*c**3 + 24*c. Let k(m) = -m**3 - m. Determine 2*j(l) + 18*k(l). 8*l**3 + 30*l Let v(q) = 9*q**3 - 8*q**2 + 6*q. Suppose 5*p - 2*p - 9 = 0. Let r(z) = 17*z**2 - 2*z**p + 4*z**3 - 18*z**2 + z - z**3. Determine -6*r(k) + v(k). 3*k**3 - 2*k**2 Let o(y) = -4*y**2 + 2*y - 4. Let t(r) = 11*r**2 - 5*r + 13. Calculate -8*o(q) - 3*t(q). -q**2 - q - 7 Let j(n) = 4*n + 14. Let m be j(-8). Let d = m - -24. Let g(s) = 6*s**2 + 17*s + 11. Let x = 19 + -2. Let p(h) = -2*h**2 - 6*h - 4. Calculate d*g(a) + x*p(a). 2*a**2 - 2 Let p(m) = -2*m**3 - 2*m**2 - 14*m. Let s(t) = 5*t**3 + 5*t**2 + 43*t. Give -11*p(v) - 4*s(v). 2*v**3 + 2*v**2 - 18*v Let i = 128 + -127. Let c(k) = -1. Let f(n) = -2. Let s(d) = 11*c(d) - 6*f(d). Let g(t) = 0 + 2*t**2 - t**2 + 2*t + 2*t**3 - 2. Give i*g(w) + 2*s(w). 2*w**3 + w**2 + 2*w Let m(n) = 3*n - 2. Let j(w) = -4*w - 767. Calculate j(z) + m(z). -z - 769 Let w(u) = u + 1. Let n(f) = -f**2 + 3*f + 26. What is -n(v) + 4*w(v)? v**2 + v - 22 Suppose 5*g + 23 = f, 4*f + 8 = -0. Suppose 0 = 15*c - 4*c - 22. Let m(j) = -31*j + 22 + 10*j + 9*j + c*j. Let i(w) = -4*w + 9. Calculate g*m(n) + 12*i(n). 2*n - 2 Let f(z) = 5*z**3 + 2*z**2 - 3*z + 2. Let w(x) = -x**3. Calculate f(l) + 4*w(l). l**3 + 2*l**2 - 3*l + 2 Suppose j = -3*j + i - 18, -4*i + 8 = 0. Let w(p) = 5*p**2 + 2. Let r(o) = -6*o**2 - 1. Calculate j*w(g) - 3*r(g). -2*g**2 - 5 Suppose -4*i - i + 40 = 4*k, 2*i = 8. Let w(p) be the second derivative of p**3/6 - p**2 + 133*p - 1. Let a(f) = f**2 + 2*f - 5. Calculate k*w(t) - 2*a(t). -2*t**2 + t Let l(w) be the third derivative of -w**5/10 + w**4/6 + 117*w**2. Let b(v) = -11*v**2 + 7*v - 1. Calculate 4*b(x) - 7*l(x). -2*x**2 - 4 Let n(m) = -4*m + 1. Let z be n(-1). Let o(d) = 2. Let h(c) = -26*c - 260. Let i(a) = -2*h(a) - 260*o(a). Let t(w) = -8*w. Give z*i(j) + 32*t(j). 4*j Suppose 2*x - 9 = 5*x. Let k(t) be the third derivative of t**5/30 + t**4/8 + 4430*t**2. Let q(c) = -c**3 - 3*c**2 - 4*c. Determine x*k(n) - 2*q(n). 2*n**3 - n Let w(t) be the third derivative of t**6/120 + t**5/60 + t**4/24 + t**3/6 - 25*t**2. Let l(v) = -7*v + 3 + 3*v**3 - 1 + 3*v**2 + 7*v. Calculate -l(b) + 2*w(b). -b**3 - b**2 + 2*b Let h(m) = 3*m**3 + 6*m**2 + 3*m - 64. Let n(g) = -3*g**3 - 8*g**2 - 4*g + 65. Determine 4*h(t) + 3*n(t). 3*t**3 - 61 Let c(j) = 1. Let w(o) = -3*o + 11. Let x(h) = 7*h**2 - 4*h + 2. Let r be x(2). Let y = 5670 + -5672. Give r*c(m) + y*w(m). 6*m Let m(y) = -21*y + 6. Let u(p) = 17*p - 6. Let l(j) = -2*m(j) - 3*u(j). Let k(g) = -3*g + 2. Give 7*k(r) - 2*l(r). -3*r + 2 Suppose 2 = -2*c + 14. Let f(u) = -u**2 + 2*u + 896351 + 4*u**2 - u**3 - 896351. Let l(j) = j**2 + j. Calculate c*l(h) - 2*f(h). 2*h**3 + 2*h Let o(g) = -108 + 55 + 8*g**2 + 61. Let u(r) = 3*r**2 + 3. Let b be 6 - 19 - (0 - 2). Give b*u(j) + 4*o(j). -j**2 - 1 Let s(h) = -6*h**2 - 8*h - 14. Let r(d) = -2*d**2 - 5*d - 3. Let u(p) = -4*p**2 - 11*p - 5. Let k(i) = 5*r(i) - 2*u(i). Give 8*k(b) - 3*s(b). 2*b**2 + 2 Let g(u) = -5*u**2 + 4*u + 1. Suppo
{ "pile_set_name": "DM Mathematics" }
prob of sequence pcp when three letters picked without replacement from gupuggpccccppu? 2/91 Calculate prob of sequence tbtr when four letters picked without replacement from {b: 1, c: 2, r: 6, t: 2}. 1/660 Two letters picked without replacement from yyygyygygyyygygyyy. What is prob of sequence yy? 26/51 Three letters picked without replacement from wcwwwwcwwwwwcwwwww. Give prob of sequence www. 455/816 Four letters picked without replacement from {t: 3, d: 7, y: 2}. Give prob of sequence ytdd. 7/330 Calculate prob of sequence ff when two letters picked without replacement from nfnnnnnnfnnnnnnnnn. 1/153 Calculate prob of sequence yv when two letters picked without replacement from vyvvyvvvvvyyvvvvvv. 28/153 What is prob of sequence bc when two letters picked without replacement from crrrrcgbrcgcrrrr? 1/60 Three letters picked without replacement from cgplnlce. What is prob of sequence pcn? 1/168 What is prob of sequence vqeb when four letters picked without replacement from {q: 8, v: 2, b: 2, e: 4}? 4/1365 Four letters picked without replacement from {c: 15, r: 3}. What is prob of sequence rcrr? 1/816 Four letters picked without replacement from {b: 4, q: 4, o: 3, v: 9}. What is prob of sequence oqqb? 2/1615 Four letters picked without replacement from vhpzpvzphhmbzpz. What is prob of sequence zvzb? 1/1365 What is prob of sequence hea when three letters picked without replacement from cakeh? 1/60 Three letters picked without replacement from {n: 2, a: 11, r: 2, h: 3, c: 1}. What is prob of sequence crh? 1/969 What is prob of sequence sr when two letters picked without replacement from osoolrow? 1/56 Four letters picked without replacement from aaaaaazaaaaazaaaaaa. What is prob of sequence zzaa? 1/171 Three letters picked without replacement from efefeffefeeee. Give prob of sequence fee. 70/429 What is prob of sequence ld when two letters picked without replacement from {n: 1, b: 3, x: 2, d: 4, l: 1}? 2/55 Calculate prob of sequence nk when two letters picked without replacement from {d: 2, k: 3, n: 1, j: 4}. 1/30 What is prob of sequence ggp when three letters picked without replacement from ppppdpdpgpppdpp? 0 Three letters picked without replacement from {c: 7, i: 5, r: 1, v: 1}. Give prob of sequence ccc. 5/52 Two letters picked without replacement from sddddxsssxds. Give prob of sequence dx. 5/66 Calculate prob of sequence ty when two letters picked without replacement from {t: 2, z: 4, y: 2, b: 11}. 2/171 Two letters picked without replacement from annppaadnnadbopdn. Give prob of sequence od. 3/272 Three letters picked without replacement from {l: 2, x: 2, v: 4, a: 5}. Give prob of sequence avl. 10/429 Calculate prob of sequence uuuu when four letters picked without replacement from uuuuuuuuuu. 1 Three letters picked without replacement from {p: 5, n: 1, m: 3, c: 1}. What is prob of sequence mpp? 1/12 Three letters picked without replacement from {a: 1, p: 6, n: 1, i: 2, c: 3}. Give prob of sequence pic. 3/143 Four letters picked without replacement from {v: 2, o: 7, a: 11}. What is prob of sequence ooao? 77/3876 Two letters picked without replacement from {q: 5, m: 8, j: 3}. Give prob of sequence mq. 1/6 Four letters picked without replacement from {g: 2, s: 8, k: 2, n: 3}. Give prob of sequence knkg. 1/2730 What is prob of sequence zzz when three letters picked without replacement from {z: 3, u: 1}? 1/4 Three letters picked without replacement from {n: 1, u: 2, j: 1, s: 1}. What is prob of sequence jus? 1/30 Four letters picked without replacement from {q: 2, n: 1, g: 2, e: 1, w: 1, z: 1}. What is prob of sequence gqqw? 1/420 Two letters picked without replacement from xccneanauncuaccacaxc. What is prob of sequence cx? 7/190 Two letters picked without replacement from zpapzaakzagaa. Give prob of sequence zz. 1/26 Calculate prob of sequence mv when two letters picked without replacement from mmwmmwvwwmjmwmwmmmjv. 1/19 What is prob of sequence ugg when three letters picked without replacement from {u: 4, d: 6, g: 2}? 1/165 What is prob of sequence og when two letters picked without replacement from zimmogjj? 1/56 Calculate prob of sequence eqr when three letters picked without replacement from qqqqeqrreeeeeeqq. 7/240 Three letters picked without replacement from cqcnzccczcnnccnnnccg. Give prob of sequence qgn. 1/1140 Two letters picked without replacement from ssssss. What is prob of sequence ss? 1 What is prob of sequence nvvv when four letters picked without replacement from {n: 3, v: 13}? 33/280 Three letters picked without replacement from kkwjjkwwjxljhll. Give prob of sequence xkx. 0 What is prob of sequence zj when two letters picked without replacement from tsjzutul? 1/56 Calculate prob of sequence uuu when three letters picked without replacement from {u: 10}. 1 What is prob of sequence ynn when three letters picked without replacement from yxlynydpdndy? 1/165 What is prob of sequence vw when two letters picked without replacement from {v: 1, c: 1, w: 2, t: 2}? 1/15 Four letters picked without replacement from {u: 14, e: 4}. What is prob of sequence euue? 91/3060 What is prob of sequence ffyg when four letters picked without replacement from fgffgygggffffg? 3/286 Two letters picked without replacement from {g: 11, r: 3, m: 4}. Give prob of sequence mg. 22/153 What is prob of sequence cic when three letters picked without replacement from iccc? 1/4 Three letters picked without replacement from {n: 1, w: 1, e: 1, z: 3, j: 1}. What is prob of sequence wjz? 1/70 Two letters picked without replacement from hnrhrhqhrnnmnnrn. What is prob of sequence mr? 1/60 Two letters picked without replacement from {i: 4, v: 1, s: 1, u: 1, q: 1}. What is prob of sequence qi? 1/14 Three letters picked without replacement from qlqdcqddddddqdcdlddd. Give prob of sequence qcl. 2/855 Calculate prob of sequence brw when three letters picked without replacement from bwjibrrdi. 1/126 What is prob of sequence xbj when three letters picked without replacement from xbajl? 1/60 What is prob of sequence yvyq when four letters picked without replacement from {y: 3, q: 1, v: 1}? 1/20 Four letters picked without replacement from {u: 2, x: 5}. Give prob of sequence xxxx. 1/7 Three letters picked without replacement from cfbccfcfbfc. What is prob of sequence fcb? 4/99 Calculate prob of sequence tw when two letters picked without replacement from {w: 3, s: 3, b: 5, f: 4, t: 3}. 1/34 What is prob of sequence ttr when three letters picked without replacement from {t: 8, r: 3}? 28/165 Three letters picked without replacement from aljjaoa. What is prob of sequence joj? 1/105 What is prob of sequence jm when two letters picked without replacement from mmrnjmjrjnjvnjmjm? 15/136 Four letters picked without replacement from {w: 1, d: 1, c: 1, g: 1, l: 1}. Give prob of sequence wldc. 1/120 Three letters picked without replacement from {b: 3, k: 5}. Give prob of sequence bbb. 1/56 Calculate prob of sequence dff when three letters picked without replacement from fdffdffyydyd. 2/33 Four letters picked without replacement from yywyyw. Give prob of sequence wyyy. 2/15 Calculate prob of sequence rfr when three letters picked without replacement from rfhfrrkhkhkhkhrkhhr. 20/2907 Two letters picked without replacement from {q: 1, j: 2, o: 1, y: 4}. Give prob of sequence jo. 1/28 Two letters picked without replacement from yyyyykyyyyyyyyxyyyy. What is prob of sequence yx? 17/342 Two letters picked without replacement from wgwwwhhbhhhhbuw. Give prob of sequence gw. 1/42 Three letters picked without replacement from xooxoooooo. What is prob of sequence oox? 7/45 Three letters picked without replacement from iiiipiippiiiiiipiii. What is prob of sequence ppi? 10/323 Three letters picked without replacement from vezevfesfef. What is prob of sequence ves? 4/495 Three letters picked without replacement from knkzikjizzjzjzkirj. Give prob of sequence zkz. 5/306 Calculate prob of sequence egr when three letters picked without replacement from {r: 7, e: 1, g: 10}. 35/2448 Three letters picked without replacement from {j: 5, v: 9, s: 2}. Give prob of sequence sjs. 1/336 Two letters picked without replacement from {r: 1, e: 2, x: 4, u: 3}. What is prob of sequence ux? 2/15 What is prob of seque
{ "pile_set_name": "DM Mathematics" }
to five decimal places? 0.00462 What is -0.0014164449 rounded to four dps? -0.0014 What is -1044871160 rounded to the nearest 100000? -1044900000 What is 0.00094594478 rounded to seven dps? 0.0009459 What is -0.00069569423 rounded to six dps? -0.000696 Round -0.5271412697 to one decimal place. -0.5 What is 16846756430 rounded to the nearest 1000000? 16847000000 What is -924504.486 rounded to the nearest one hundred thousand? -900000 Round 0.00000263030562 to 7 dps. 0.0000026 Round 574546.767 to the nearest 100000. 600000 What is 3673236890 rounded to the nearest one million? 3673000000 Round -1624.77927 to one dp. -1624.8 What is 0.00001791597936 rounded to seven dps? 0.0000179 What is 0.0416878958 rounded to 4 dps? 0.0417 Round 1.81846208 to 3 dps. 1.818 What is 0.0000862858911 rounded to seven decimal places? 0.0000863 Round -4909276.52 to the nearest one hundred thousand. -4900000 Round -663991.99 to the nearest 10000. -660000 What is -0.0000447830168 rounded to five dps? -0.00004 What is 54.123837 rounded to zero dps? 54 Round -1294827.89 to the nearest one thousand. -1295000 What is -0.003966456594 rounded to five dps? -0.00397 Round -26.115296551 to three decimal places. -26.115 What is -26140842.5 rounded to the nearest 1000000? -26000000 Round 21443411.49 to the nearest 10000. 21440000 Round -3.1654501 to two decimal places. -3.17 What is -2104724.839 rounded to the nearest 10? -2104720 Round 0.0102001168 to 3 decimal places. 0.01 Round -41.727139 to the nearest 10. -40 What is -0.37843859 rounded to 3 decimal places? -0.378 Round -0.0288939647 to 5 dps. -0.02889 Round 0.0610616237 to 6 dps. 0.061062 What is 61.990585 rounded to 2 dps? 61.99 What is 891.327 rounded to the nearest 10? 890 What is -10715098.88 rounded to the nearest 100? -10715100 Round -0.00740368907 to seven decimal places. -0.0074037 What is -474159.3555 rounded to the nearest ten thousand? -470000 What is -1.6989731 rounded to four dps? -1.699 Round -0.0053469542 to five decimal places. -0.00535 What is -0.23118362 rounded to one decimal place? -0.2 Round 781088869 to the nearest 10000. 781090000 What is 661201.926 rounded to the nearest 1000? 661000 Round 0.3814473774 to one decimal place. 0.4 Round -1828446.474 to the nearest 100. -1828400 Round -0.00259412171 to 5 decimal places. -0.00259 Round -4739442.93 to the nearest ten thousand. -4740000 What is 69417.549 rounded to the nearest 100? 69400 What is -10749891588 rounded to the nearest 1000000? -10750000000 Round -132.741025 to the nearest ten. -130 What is 0.0000018288466 rounded to 7 dps? 0.0000018 What is 903735.22 rounded to the nearest 1000000? 1000000 What is 3771.300953 rounded to 0 decimal places? 3771 Round -186549.318 to the nearest one hundred. -186500 What is -117475.42973 rounded to the nearest 1000? -117000 What is -0.00417211851 rounded to four dps? -0.0042 What is -14987840.98 rounded to the nearest 100? -14987800 What is -142.5309155 rounded to the nearest ten? -140 What is -0.000041346489 rounded to five dps? -0.00004 What is 145346.97 rounded to the nearest one thousand? 145000 What is -3994109403 rounded to the nearest 1000000? -3994000000 Round -0.0000118710865 to seven dps. -0.0000119 Round -58551.46935 to the nearest integer. -58551 What is -40604.458 rounded to the nearest ten? -40600 What is -363.02706 rounded to the nearest 100? -400 What is -0.0000670930155 rounded to six dps? -0.000067 What is 5228.593174 rounded to the nearest 1000? 5000 Round -0.00100041373 to 4 decimal places. -0.001 What is 77151.84536 rounded to the nearest integer? 77152 Round 5764778.608 to the nearest 100. 5764800 Round 29.8920582 to 2 decimal places. 29.89 What is 0.0002507955594 rounded to five dps? 0.00025 What is -716140.999 rounded to the nearest one hundred thousand? -700000 Round 1898032.59 to the nearest 100000. 1900000 Round -1705.5621 to the nearest 100. -1700 What is -2547896.67 rounded to the nearest one million? -3000000 What is -20.812471 rounded to one dp? -20.8 Round 30678.5741 to the nearest 1000. 31000 Round 60.0199135 to two decimal places. 60.02 Round 1.2773781914 to 5 dps. 1.27738 Round 13073570.681 to the nearest one thousand. 13074000 Round -8839.78787 to the nearest 1000. -9000 What is 0.0145321745 rounded to 5 decimal places? 0.01453 What is -0.000008266908055 rounded to 7 dps? -0.0000083 Round -289.7961451 to the nearest 10. -290 Round -3387498.66 to the nearest 100. -3387500 What is 18592778.362 rounded to the nearest 1000000? 19000000 What is -3437274250 rounded to the nearest 1000000? -3437000000 Round -1.0719596638 to 1 dp. -1.1 Round -3414.728466 to the nearest 100. -3400 Round 2.05799535 to four decimal places. 2.058 Round 109.1250249 to 1 dp. 109.1 Round 66.24879 to the nearest integer. 66 What is -0.152405439 rounded to 4 dps? -0.1524 What is -0.000084106561 rounded to 6 dps? -0.000084 What is -223.75157 rounded to the nearest one hundred? -200 Round -0.00002699661394 to 7 decimal places. -0.000027 What is 549692.07 rounded to the nearest one hundred? 549700 Round -108.388299 to one decimal place. -108.4 Round -4023387200 to the nearest 1000000. -4023000000 Round -21161.8882 to the nearest ten. -21160 What is 0.000051652317 rounded to seven decimal places? 0.0000517 What is -362111075.6 rounded to the nearest 100000? -362100000 Round -0.108432231 to five dps. -0.10843 Round -24.766134 to zero dps. -25 Round 85885.5877 to zero dps. 85886 Round 111560.337 to the nearest 10. 111560 Round -112819593.1 to the nearest 10000. -112820000 What is -0.231107041 rounded to 3 decimal places? -0.231 What is -0.288514184 rounded to two decimal places? -0.29 Round 257.921938 to 2 decimal places. 257.92 What is -0.00010363326636 rounded to 5 dps? -0.0001 Round 1703819.69 to the nearest 100000. 1700000 What is -253826.9895 rounded to the nearest 10? -253830 Round 0.00303734429 to 3 decimal places. 0.003 Round 13068987.88 to the nearest one million. 13000000 What is 195.4130244 rounded to two decimal places? 195.41 Round -55774.99922 to the nearest integer. -55775 Round 14766506600 to the nearest 1000000. 14767000000 Round -0.210266824 to two dps. -0.21 What is -0.0277347935 rounded to four dps? -0.0277 Round 1202.87157 to 1 decimal place. 1202.9 What is -17.6513816 rounded to 3 decimal places? -17.651 What is -523965.8366 rounded to the nearest ten thousand? -520000 What is 15202.6825 rounded to the nearest integer? 15203 Round 297549.98 to the nearest 10000. 300000 Round 2819.293205 to 1 dp. 2819.3 What is -95.0364405 rounded to 0 dps? -95 Round -265275060 to the nearest one hundred thousand. -265300000 Round 650957.9 to the nearest ten thousand. 650000 What is 87.131869 rounded to the nearest 10? 90 What is -16661.4085 rounded to the nearest one hundred? -16700 Round 6140.886 to the nearest integer. 6141 What is 0.00000090073234 rounded to 7 dps? 0.0000009 What is -123.8792046 rounded to 1 decimal place? -123.9 What is -421784360 rounded to the nearest 1000000? -422000000 What is -10538871.9 rounded to the nearest 1000? -10539000 What is 0.01803145093 rounded to 3 decimal places? 0.018 Round -481.9811 to the nearest 100. -500 What is 7.161537954 rounded to 3 decimal places? 7.162 What is 3877.555 rounded to the nearest ten thousand? 0 What is -12500658.1 rounded to the nearest 1000000? -13000000 Round 341.0287389 to the nearest integer. 341 Round -0.0460918337 to four decimal places. -0.0461 Round -598133948 to the nearest 10000. -598130000 What is 0.001159171839 rounded to 7 decimal places? 0.0011592 Round 153009.7742 to zero dps. 153010 What is 415491.031 rounded to the nearest ten thousand? 420000 Round -0.0804266063 to 4 dps. -0.0804 What is 0.02200500199 rounded to three decimal places? 0.022 What is 208.2836235 rounded to one decimal place? 208.3 Round 0.000574769745 to 6 dps. 0.000575 What is -15738.21827 rounded to the nearest integer? -15738 What is 0.00256291774 rounded to 6 dps? 0.002563 Round 891305.8913 to the nearest 100. 891300 What is 384889.983 rounded to the nearest ten? 384890 Round 6359911600 to the nearest one million. 6360000000 Round -0.0334105447 to three decimal places. -0.033 Round 0.583573516 to 2 decimal places. 0.58 Round 654.3222486 to two decimal places. 6
{ "pile_set_name": "DM Mathematics" }
0.5, 5, -205/4? 0.03 What is the closest to 0.2 in -4, -682, 1? 1 What is the nearest to -28 in -2/25, 4, -12/7, 0.9? -12/7 What is the nearest to 0.1 in 5/168, -4, 13, 0.5? 5/168 Which is the closest to 2/3? (a) 26 (b) -0.04 (c) 0.4 (d) -0.3 c Which is the closest to 2? (a) 2 (b) 1/6 (c) -6/11 (d) 60 a Which is the nearest to -1/48? (a) -1 (b) -2/15 (c) 3/2 (d) -3/8 b What is the nearest to 2/137 in 0.15, 4, -6.9, -1/2? 0.15 What is the nearest to 9/5 in -71, -0.7, -2/7, 0.1? 0.1 Which is the closest to -1? (a) 1/4 (b) 0.95 (c) -4 (d) 14 a Which is the closest to -37.15? (a) 1/15 (b) 0.5 (c) -6 c Which is the nearest to -3? (a) 8 (b) -0.7 (c) 0.02 (d) -5 d Which is the nearest to -0.316? (a) 12 (b) 0 (c) -0.5 c Which is the closest to 9.31? (a) -5/2 (b) 4 (c) 53 b What is the nearest to 1 in -0.2, 5, 0.2, 0.009? 0.2 Which is the nearest to 1? (a) 4 (b) -14 (c) -2/55 c Which is the nearest to -75? (a) 40 (b) 5/4 (c) -0.4 c Which is the closest to -1? (a) 0.03 (b) 2 (c) 70 (d) 0.2 (e) -5/6 e Which is the nearest to 0? (a) 24 (b) -2 (c) -1 (d) 141 c Which is the closest to 0.57? (a) 1/2 (b) -3 (c) -0.5 (d) -15 a Which is the closest to -3? (a) 396 (b) -1 (c) 2/5 (d) -1/6 (e) -1/9 b Which is the closest to 0.3? (a) 1450 (b) -0.5 (c) 5/4 b Which is the closest to 2? (a) -4 (b) -57886 (c) 1 (d) 2 d What is the nearest to -63 in 1/3, -332, 4, 0.4? 1/3 What is the closest to -65 in -4/5, 4, -0.3, 1/3? -4/5 What is the closest to -481 in 0, 1, -2/3, 4? -2/3 What is the closest to -1 in 0.208, 0.5, 1/3, -0.3, -80? -0.3 What is the closest to -7 in 1/2, 0.4, -433? 0.4 What is the nearest to 7/4 in 1839, -0.5, -3? -0.5 Which is the nearest to 1/18960? (a) -2 (b) -0.2 (c) -0.5 b What is the nearest to -7 in 0.2, -877, 0.3? 0.2 What is the nearest to -0.1 in 0.3, 15232, -1/5? -1/5 What is the nearest to 12.7 in -445/12, 1/3, 1/4? 1/3 What is the nearest to -4/3 in -0.3, -0.04899, -0.1? -0.3 Which is the closest to 0? (a) 0.5 (b) 1/43 (c) -0.23 (d) 1.2 b Which is the nearest to -2? (a) 4/9 (b) 3/10 (c) -1/19 c What is the closest to -1 in -2, 4, 0.5, -14, -1/4? -1/4 What is the nearest to 2 in 0.2, -2/7, -61, 2/487, 0.1? 0.2 What is the closest to 64/7 in -1, 0.01, -0.2? 0.01 Which is the nearest to 50? (a) -5 (b) 1.02 (c) -1/8 b Which is the nearest to -2? (a) 4.9 (b) -0.1 (c) 14 b Which is the closest to -2/3? (a) -36 (b) -34 (c) -0.4 (d) -6 (e) 0 c What is the closest to -1/3 in -4, -2, 1064? -2 Which is the closest to -3/5? (a) -1/3 (b) -5 (c) -173 a Which is the nearest to 0.2? (a) 5 (b) 0.4 (c) 3380 (d) -0.3 b Which is the nearest to 5? (a) 29 (b) -2 (c) 1.2 c What is the closest to 39515 in 0.1, -4, 5, -0.1? 5 What is the nearest to -1 in -0.7, -5, 0, -10.7? -0.7 Which is the nearest to 0.1? (a) 5 (b) 2568 (c) -24.8 a Which is the closest to -0.1? (a) -0.02 (b) -3/20 (c) 4076 b Which is the closest to -2.1? (a) 3 (b) 19 (c) -1/14 c What is the closest to -0.8 in -3, -1/3, -0.5, 127, 3? -0.5 What is the nearest to -14 in 10, 1, -1/11, 17? -1/11 Which is the nearest to -2? (a) -1/18 (b) 14 (c) -1.1 c What is the nearest to -387 in 2/5, -1, 2/11, -3, -0.5? -3 Which is the nearest to 0? (a) -0.11 (b) 1/2 (c) -0.3 (d) -3 a What is the nearest to 0 in 1.31, 1322, 3, 0? 0 Which is the nearest to -2? (a) -5 (b) -3/4 (c) 112 (d) 2 (e) 56 b Which is the nearest to -2/17? (a) 0.3 (b) -4/5 (c) 3 (d) 5 (e) 0.67 a Which is the closest to 6? (a) 4 (b) 3/53 (c) -2.3 a Which is the closest to -1/9? (a) -67 (b) 29 (c) 1/4 (d) 3 c Which is the nearest to 3? (a) -1 (b) -4972/5 (c) 0.01 (d) 0.2 d Which is the nearest to -0.2? (a) 9755 (b) 5 (c) -2/5 c What is the closest to -4/5 in -0.5, -1.1323, 0.2? -0.5 Which is the nearest to -0.0714? (a) -2 (b) 2.04 (c) -1/4 c Which is the nearest to 4? (a) -3 (b) -0.4 (c) 59 b What is the closest to -1 in -243/2, -2, 11? -2 What is the nearest to 2/5 in 13.8205, 3, -4? 3 What is the nearest to 1/4 in -0.3, 2/7, 1038, -14/3, -0.1? 2/7 Which is the nearest to -2/7? (a) 1/2 (b) 0 (c) 5 (d) 1 (e) 8/63 b Which is the closest to -1? (a) -966/13 (b) -2 (c) -0.3 c What is the nearest to 0.29 in -0.2, -3/5, 2/27, 3? 2/27 Which is the closest to -0.3? (a) -1/4 (b) 0.4 (c) 0.2 (d) -2318 a Which is the nearest to 0? (a) 1/2 (b) 1/5 (c) -3 (d) -63260 b Which is the nearest to 1? (a) -4 (b) 15/2 (c) 3.42 (d) -2 c What is the nearest to -6/11 in -6, 0.6, 2/11, -9/5, 2? 2/11 Which is the closest to 0? (a) -1 (b) 4 (c) -6 (d) -2/9 (e) -7 d What is the closest to -1 in -2/21, 1.4, 0.06, -2, 2/5? -2/21 What is the closest to -0.2 in 0.17, 1, -0.2, -97? -0.2 Which is the closest to 1/4? (a) 0.05 (b) -1/250 (c) -2/61 (d) -0.5 (e) 0 a What is the nearest to -1/10 in -48, 8, -1? -1 Which is the closest to -3/37? (a) -2/5 (b) -264 (c) -3 (d) -0.04 (e) 0 d Which is the closest to -0.5? (a) -0.4 (b) -5 (c) -105 (d) 8 (e) -10 a What is the closest to 5 in 1/9, -149, 0.7? 0.7 Which is the nearest to -2.25? (a) -48 (b) -1 (c) -5 (d) -2/3 b Which is the closest to 0.05? (a) 2/13 (b) 0.4 (c) 2.7 a Which is the nearest to 1/4? (a) -131/22 (b) -4 (c) -5 (d) 2/13 d Which is the nearest to -1/4? (a) 0 (b) 52921 (c) -0.4 (d) 5 c Which is the closest to -0.3? (a) -842 (b) -2 (c) 0.4 c What is the closest to -4 in 1.2, 57, -63? 1.2 Which is the closest to -11? (a) -2/75 (b) 5 (c) -2.6 c Which is the closest to 0.1? (a) -0.972 (b) 0.7 (c) -2 b What is the closest to -0.1 in 0.4, -0.4, -1043, -28.7? -0.4 What is the closest to 0.2 in -5, -801, -4, 0.01, 1/18? 1/18 Which is the closest to -0.1? (a) 0.4 (b) 0.05 (c) -0.037 (d) 1 (e) 4 c Which is the closest to 0.1? (a) 168/5 (b) 0.9 (c) -7 b What is the closest to -0.1 in 3, -2, -0.5, 2570? -0.5 What is the closest to 2/275 in -2/9, -5/2, -42, -0.04? -0.04 What is the nearest to 0 in -1/25, 1, -4, 0.02, 17/3? 0.02 What is the closest to 2 in 0, 26, 50/7? 0 What is the nearest to 2 in -1, 1/4, -0.1, -1282, 2/35? 1/4 Which is the nearest to 3? (a) -2 (b) 40 (c) 2/3 (d) 2/11 c Which is the closest to -0.1? (a) 5 (b) -0.5 (c) -119 (d) -26 b Which is the closest to -7? (a) 0.3 (b) -8 (c) -4908 b Which is the nearest to -0.5? (a) 24 (b) 1 (c) 11 (d) 7 b Which is the nearest to 2? (a) -21/8 (b) -1/9 (c) -356 b Which is the closest to 0? (a) 662 (b) 10 (c) -1.2 (d) 1/11 d What is the closest to -253 in -2/21, 0.4, -0.4, 4/7? -0.4 What is the nearest to 0.14 in 1/934, 2, 0? 1/934 Which is the closest to -0.9? (a) -657 (b) 5 (c) -5 (d) -2/41 d What is the nearest to -54/7 in -2/13, -12, 3/2? -12 Which is the nearest to 634? (a) 3/7 (b) 2 (c) -3/4 (d) 1 b Which is the closest to 3/8? (a) 2/51 (b) 1/4 (c) 1 b What is the closest to -2/31 in 6, 1/3, -2? 1/3 What is the nearest to -3 in 0.04, 1/8, -5, -7? -5 Which is the nearest to -3/166? (a) -0.5 (b) 1/6 (c) -2/17 (d) 2 (e) -5 c Which is the nearest to 1/76? (a) 2/13 (b) -0.1 (c) 3 (d) -64 b What is the nearest to 0.2 in 3/4, -1/20, -0.06, -72/7? -1/20 What is the nearest to -1/23 in -5, -1/6, -4, -0.5, 0.062? 0.062 What is the closest to 5 in -4, 0.19, 31, 1? 1 What is the nearest to -1 in 0.401, 0.2, 6? 0.2 Which is the closest to -1/4? (a) 2 (b) -2 (c) -5/222 (d) 3 c What is the nearest to 783 in 3/5, 3, 0? 3 Which is the nearest to -37? (a) 41 (b) 24/11 (c) -5 c Which is the nearest to 0? (a) 3 (b) -0.184 (c) -2/3 (d) 2 (e) 1/2 b Which is the nearest to -10? (a) -0.12 (b) -2/9 (c) 0.02 (d) 1 b What is the nearest to -1 in -5, 357, -0.1, 2/3? -0.1 Which is the nearest to -2? (a) -0.5 (b) -3/4 (c) -4.8 (d) 6 b What is the closest to -1168 in -3, -2/9, 0.3, 0.05, -2/3? -3 Which is the nearest to 1/2? (a) 0.8 (b) -12 (c) -134 a What is the closest to 38 in 6/5, 6.7, -5, -0.3? 6.7 What is the nearest to 0 in 1/9, -1/4, -3, -1725, -0.3? 1/9 What is the closest to -3/2 in -0.05, -7, -117? -0.05 Which is the nearest to 1/8? (a) 4 (b) -4 (c) 12/11 (d) -6/13 (e) 1/2 e What is the nearest to -199 in -2/7, -3, 4, 10? -3 What is the nearest to 0.18 in 1/5, -0.5, 17, 4? 1/5 What is the nearest to 8/31 in 2/5, 2/11,
{ "pile_set_name": "DM Mathematics" }
n base 2, what is -100001011 - 101? -100010000 In base 3, what is 1 + -210? -202 In base 5, what is 11 - 101? -40 In base 2, what is -11 - 110001010? -110001101 In base 16, what is -2 + 1ac7? 1ac5 In base 6, what is 2242 - 0? 2242 In base 7, what is 2 - 33? -31 In base 9, what is -207 - -18? -178 In base 6, what is 2 + 1551? 1553 In base 4, what is 131 + 1? 132 In base 11, what is -6a9 - 13? -711 In base 11, what is 7 + 7? 13 In base 9, what is 2 + -153? -151 In base 7, what is -5 + -2053? -2061 In base 15, what is -e + 0? -e In base 16, what is ff + d? 10c In base 16, what is 0 - 25? -25 In base 13, what is 2 - -78? 7a In base 6, what is 4 + -31? -23 In base 8, what is -2440 + -2? -2442 In base 6, what is -31 - -2? -25 In base 10, what is 0 - -708? 708 In base 11, what is 5 - 12? -8 In base 13, what is -1 - 39? -3a In base 11, what is -19 + 22? 4 In base 14, what is 3 + 69? 6c In base 5, what is 301 + -1433? -1132 In base 15, what is 2a - 5? 25 In base 3, what is 221200 + 2? 221202 In base 16, what is -e + -cb? -d9 In base 6, what is -21525 - -3? -21522 In base 10, what is 33 + -3? 30 In base 11, what is 4 + -809? -805 In base 9, what is 5 + -36? -31 In base 2, what is 1101 + 111110? 1001011 In base 10, what is 1 + 59? 60 In base 4, what is 10310 + 11? 10321 In base 7, what is 1 - 66? -65 In base 11, what is -1 - -1038? 1037 In base 6, what is 4 + -44? -40 In base 12, what is 184 + 2? 186 In base 9, what is 21 - 613? -582 In base 13, what is 77 - 2? 75 In base 6, what is -10 - 42? -52 In base 13, what is 86 + -2? 84 In base 3, what is -12 + 101211? 101122 In base 2, what is -10 + 100101111010? 100101111000 In base 12, what is 3 - 175? -172 In base 4, what is -12203 + -2? -12211 In base 8, what is 273 - -32? 325 In base 13, what is 45b + -5? 456 In base 12, what is -2 + 82? 80 In base 15, what is 2 + b0? b2 In base 15, what is 0 + 2a? 2a In base 9, what is 1352 + 2? 1354 In base 12, what is -3 + -3a? -41 In base 5, what is -3241 - 3? -3244 In base 12, what is -130 - -3? -129 In base 10, what is -2 + -1566? -1568 In base 15, what is 0 - 40d? -40d In base 14, what is -3 + d? a In base 9, what is -7506 - 2? -7508 In base 6, what is -11 - -14? 3 In base 6, what is -25143 + -3? -25150 In base 2, what is 10010100 + 1? 10010101 In base 8, what is -142 - -2? -140 In base 7, what is 5 + -23116? -23111 In base 15, what is -53 - 5? -58 In base 9, what is 0 + 528? 528 In base 6, what is 0 + -114? -114 In base 2, what is -11 + 10100011? 10100000 In base 14, what is a2 - -5? a7 In base 16, what is 3 + -1e0? -1dd In base 15, what is 1 + -11e? -11d In base 7, what is 0 + -305? -305 In base 15, what is 1 + -5d? -5c In base 9, what is -1 - 230? -231 In base 8, what is 4774 - 3? 4771 In base 10, what is -4 + 178? 174 In base 6, what is -15 + 10? -5 In base 10, what is -146 + 4? -142 In base 4, what is 101230 + -2? 101222 In base 14, what is 34 + a? 40 In base 6, what is 12230 + -3? 12223 In base 9, what is -17 - 4? -22 In base 14, what is 4 + 1a? 20 In base 4, what is -330 + 10? -320 In base 16, what is -10 + -1? -11 In base 8, what is 5 - 666? -661 In base 6, what is 1224 - -2? 1230 In base 8, what is 27 - -14? 43 In base 6, what is -1 - -455? 454 In base 3, what is 12 - -200020? 200102 In base 15, what is -74 + c? -67 In base 13, what is -1c + 17? -5 In base 16, what is 22 - 6? 1c In base 10, what is 116 + 26? 142 In base 4, what is -112231 + 20? -112211 In base 10, what is 37 - -3? 40 In base 7, what is -40 + -332? -402 In base 16, what is -6 - 30? -36 In base 2, what is 1010011111 + 10? 1010100001 In base 5, what is 2 - -3030? 3032 In base 12, what is 727 - 3? 724 In base 9, what is -5 + 113? 107 In base 11, what is -3 + -170? -173 In base 6, what is 11 - -32? 43 In base 16, what is e - 2c? -1e In base 4, what is 200 + 21? 221 In base 8, what is -62 - 31? -113 In base 15, what is -60c - 3? -610 In base 13, what is -1 + -16? -17 In base 4, what is 30 - -12? 102 In base 10, what is -8 - 124? -132 In base 7, what is -40 - -6? -31 In base 10, what is 61 + -3? 58 In base 10, what is -20 - 23? -43 In base 12, what is b7 + 17? 112 In base 6, what is -1 - -124? 123 In base 3, what is 10 + 2021? 2101 In base 14, what is -5 - 1a2? -1a7 In base 5, what is 31341 + -3? 31333 In base 15, what is 9c + 3? a0 In base 12, what is -994 + 4? -990 In base 15, what is -3 + -42? -45 In base 16, what is -1 + d64? d63 In base 4, what is 20 + 20? 100 In base 8, what is -56 - -4? -52 In base 11, what is -5 - 27? -31 In base 8, what is -2 - 224? -226 In base 9, what is 5 + -6? -1 In base 16, what is 100 - -4? 104 In base 14, what is -19d6 + -1? -19d7 In base 3, what is -1221 - 2212? -11210 In base 9, what is -360 - 2? -362 In base 8, what is 15 + 76? 113 In base 9, what is 241 + 24? 265 In base 5, what is -102 + 32? -20 In base 4, what is 13 + -230? -211 In base 15, what is 15 - 10? 5 In base 4, what is 22 - -213? 301 In base 11, what is 9957 + -2? 9955 In base 6, what is 2 - -545? 551 In base 7, what is -21 + -32? -53 In base 5, what is 12 + -233? -221 In base 8, what is 10737 + 3? 10742 In base 6, what is -15 + 240? 221 In base 13, what is 4 - -31? 35 In base 10, what is -2 - 751? -753 In base 13, what is -312 - -1? -311 In base 7, what is -653 + -20? -1003 In base 15, what is 149 + -1? 148 In base 15, what is -2e + -21? -50 In base 5, what is 10 - 1212? -1202 In base 7, what is 1360 - 4? 1353 In base 12, what is 3 + 8? b In base 7, what is -114 + 1? -113 In base 6, what is -1054 + 34? -1020 In base 14, what is -18 + da? c2 In base 3, what is -2 - -11? 2 In base 9, what is 5 + -5720? -5714 In base 8, what is 10 - -7? 17 In base 3, what is 211 + 10? 221 In base 16, what is -6 - -a7? a1 In base 15, what is 4 + -813? -80e In base 6, what is 143 - -4? 151 In base 10, what is 191 + -4? 187 In base 16, what is -142 + 13? -12f In base 2, what is 1000001 - 1000010? -1 In base 10, what is 841 + -2? 839 In base 10, what is -1332 - 10? -1342 In base 11, what is 183 - 1? 182 In base 10, what is -394 + -1? -395 In base 5, what is 2 + 3344? 3401 In base 12, what is -4 - -2107? 2103 In base 2, what is -100101110 + 100? -100101010 In base 4, what is 1131203 - 11? 1131132 In base 4, what is 11303 - -10? 11313 In base 13, what is -a + -1c? -29 In base 15, what is c - 3c? -30 In base 16, what is -2f9b + -3? -2f9e In base 12, what is -5 - -1109? 1104 In base 10, what is 38 - -2? 40 In base 12, what is -261 - -4? -259 In base 3, what is -11 - -10101111? 10101100 In base 12, what is 5 + 1b07? 1b10 In base 13, what is 17a - -4? 181 In base 7, what is 0 - -1312? 1312 In base 4, what is 133202 + -11? 133131 In base 2, what is 10000011000 + -10? 10000010110 In base 7, what is 55455 + -4? 55451 In base 2, what is 1000 + 10001? 11001 In base 12, what is -19 + -8? -25 In base 8, what is -44 - 55? -121 In base 4, what is 10002300 - -3? 10002303 In base 4, what is 1 - -232202? 232203 In base 7, what is -33 + 11? -22 In base 13, what is 1360 + -4? 1359 In base 12, what is 5 + -3? 2 In base 10, what is -196 + 1? -195 In base 11, what is 125 - -5? 12a In base 12, what is 2 + 22? 24 In base 11, what is -22 + 11? -11 In base 13, what is -5b - -7? -54 In base 13, what is 4 + 36? 3a In base 16, what is 0 - -8? 8 In base 11, what is -9 + 408? 3aa In base 15, what is -4 - ec6? -eca In base 15, what is 2e0 + -2? 2dd In base 8, what is -614 + -2? -616 In base 13, what is -3 - -43? 40 In base 6, what is 113035 + -4? 113031 In base 8, what is 3544 - -3? 3547 In base 5, what is 1242 + -3? 1234 In base 2, what is -101 + 110101? 110000 In base 16, what is 4 - -23? 27 In base 7, what is 1215 - 100? 1115 In base 15, what is 1 + -62? -61 In base 8, what is 426 - 10? 416 In base 16, what is -5 + -5b? -60 In base 15, what is -4 - 126d? -1272 In base 2, what is -111011 + 10? -111001 In base 6, what is -3201 + -4? -3205 In base 7, what is 0 - -14016? 14016 In base 4, what is -2 + 2212? 2210 In base 10, what is 4 + -23? -19 In base 4, what is -2 - 223? -231 In base 16, what is -8 - -4b8? 4b0 In base 2, what is 11010111011 - 100? 11010110111 In base 10, what is -583 + -3? -586 In base 6, what is 2043 + -2? 2041 In base 7, what is -4542 - -5? -4534 In base 8, what is -7 + -44? -53 In base 2, what is -101100 - 10000? -111100 In base 15
{ "pile_set_name": "DM Mathematics" }
) = -4*t + 4. Let n = 19 + 2. Suppose n*x = 18*x + 15. Let l(j) = 2*j - 2. Calculate x*l(o) + 2*s(o). 2*o - 2 Let r(t) = -3*t**3 - 5*t**2 + 3. Let d(j) = -2*j**3 - 4*j**2 + 2. Let p = 15 + -11. Suppose -l = 4*l - 25. Suppose 6*h + 25 = -l. What is h*d(k) + p*r(k)? -2*k**3 + 2 Let y(o) = -o + 1. Let q = -25 + 31. Suppose 6*s - q = 3*s. Let r(t) = t**2 - t + 1. Suppose -2 + 7 = -4*v + j, 2*j + 14 = -4*v. Determine s*r(k) + v*y(k). 2*k**2 Let o(t) = -6*t**3 - 69*t**2 - 6*t + 30. Let g(n) = n**3 + 14*n**2 + n - 6. Determine 11*g(p) + 2*o(p). -p**3 + 16*p**2 - p - 6 Let v(o) = -5*o - 43. Let y(q) = q. Determine v(g) + 4*y(g). -g - 43 Let r(d) be the third derivative of -d**6/120 + d**5/60 - d**4/24 - d**3/6 + 72*d**2. Let p(l) = 6*l**3 - 2*l**2 + 2*l + 2. Give -p(k) - 2*r(k). -4*k**3 Let q(j) = 2*j**3 - j**2 + 3*j - 3. Let y(v) = -v**2 - v + 1. Let d = -723 - -724. Determine d*q(s) + 3*y(s). 2*s**3 - 4*s**2 Let a(d) = 67*d**3 - 4*d**2 + 4*d - 13. Let j(f) = -267*f**3 + 15*f**2 - 15*f + 51. Give 15*a(m) + 4*j(m). -63*m**3 + 9 Let w(q) = 2*q**3 + 6*q**2 + q + 5. Let x(d) = 4*d**3 + 12*d**2 + 3*d + 13. Determine 5*w(u) - 2*x(u). 2*u**3 + 6*u**2 - u - 1 Let l(p) = -2*p + 6. Let w(t) = 5*t - 17. Let a = -89 + 44. Let u be ((-72)/a)/(4/10). Suppose -5*n + 5 = 5*d - 0, 32 = 5*d - u*n. What is d*w(r) + 11*l(r)? -2*r - 2 Let f(r) = r + 41. Let c(t) = t + 42. What is 3*c(l) - 2*f(l)? l + 44 Let x(j) = -j. Let q(u) = -8*u. Suppose 0 = 4*z - 3*z + 18. Let f(p) = z*x(p) + 2*q(p). Let r(b) = -6*b + b + 4*b. Calculate -5*f(k) - 12*r(k). 2*k Let l(f) = -51*f - 14. Let s(w) = -100*w - 25. Give 5*l(a) - 3*s(a). 45*a + 5 Let n(w) be the second derivative of -w**4/3 - w**3/3 + w**2 - 155*w. Let v(s) = -5*s**2 - 3*s + 3. Give -6*n(y) + 4*v(y). 4*y**2 Let a(x) = 10*x**3 + 4. Let p(h) = 11*h**3 + 5. Let m = 276 + -281. Determine m*p(i) + 6*a(i). 5*i**3 - 1 Let y(m) = -7*m**2 + 6*m + 6. Let h(z) = -14*z**2 + 12*z + 12. Let d(i) = 6*h(i) - 11*y(i). Let n(k) = k**2 - k - 1. Determine d(s) + 6*n(s). -s**2 Let z(u) be the first derivative of u**2/2 - u - 1. Let s(p) = -p. Suppose 0 = -24*b + 13425 - 13377. Give b*z(x) + 3*s(x). -x - 2 Let j(y) = -9*y - 7. Let m(d) = -11*d - 8. What is -7*j(r) + 6*m(r)? -3*r + 1 Let v(g) = 31*g**3 + 2*g**2 - 2*g + 2. Let m(c) = 187*c**3 + 13*c**2 - 13*c + 13. Determine -6*m(i) + 39*v(i). 87*i**3 Let t(s) = 28*s**2 - 9*s. Let x(l) = -7*l**2 + 2*l. Let v(k) = -3*t(k) - 11*x(k). Let o(b) = b**2 - b. Calculate 5*o(f) + v(f). -2*f**2 Let c(x) = 11*x - x**2 - 2 + 19*x - 52*x + 21*x. Let l(b) = b**2 - b - 1. Calculate c(r) - l(r). -2*r**2 - 1 Let j(b) = b**3 + 3*b + 3. Let k(u) be the second derivative of 0 - 2*u**2 - 2/3*u**3 + 4*u. Give 4*j(a) + 3*k(a). 4*a**3 Let s(x) = 2*x**2 - 6*x - 1. Let g(h) = -5*h**2 - 17*h - 1. Let p(i) = -4*i**2 - 15*i - 1. Let f(n) = -5*g(n) + 6*p(n). Determine 4*f(r) - 3*s(r). -2*r**2 - 2*r - 1 Let t(v) = -2. Let h(n) = -309*n**3 - n**2 + 12. Give -h(r) - 6*t(r). 309*r**3 + r**2 Let i(z) = 4 - 10 + 4 - 2 + 3. Let o(w) = 7*w**2 + 5. Determine -10*i(q) - 2*o(q). -14*q**2 Let u be (-256)/(-24) - ((-21)/9 - -2). Let c(n) = 21*n**3 - 15*n**2 - 11*n - 13. Let l(a) = 11*a**3 - 8*a**2 - 6*a - 7. What is u*l(d) - 6*c(d)? -5*d**3 + 2*d**2 + 1 Let d(r) = -3*r**2. Let g(m) = 2*m**2 + 70*m + 67. Let j be g(-34). Let o(n) = -n**2. Calculate j*d(b) + o(b). 2*b**2 Suppose -31*h = -87*h - 56. Let u(m) = -m - 1. Let s(b) = 2*b**2 + 4*b + 5. Determine h*s(v) - 4*u(v). -2*v**2 - 1 Let d(v) = 11*v**2. Let r(p) = 208*p**2. Suppose -125*j = -101*j + 2688. Calculate j*d(f) + 6*r(f). 16*f**2 Let p(v) = -4 + 4 - 1. Let z(j) = j + 3. Let f(g) = -g**2 + 11*g + 3. Let h be f(11). Calculate h*p(d) + z(d). d Let l(w) = 11*w**3 - 3*w**2 + 11*w - 5. Let x(d) = 5*d**3 - d**2 + 5*d - 2. Give -2*l(k) + 5*x(k). 3*k**3 + k**2 + 3*k Suppose v + 2*w = 4, -5*w = -6*w + 3. Let q(k) = -k**2 + 0*k + 1 + 0*k. Let b(g) = g. What is v*q(r) + b(r)? 2*r**2 + r - 2 Let l(j) = 4*j**2 + 4*j + 9. Let i(r) = -12*r**2 - 11*r - 26. Let q(c) = 4*i(c) + 11*l(c). Suppose 2*n - 25 = -3*n. Let a(v) = -v**2 - 1. Give n*a(t) - q(t). -t**2 Let w(x) = 6*x. Let v be 880/72 + -6 + (-4)/18. Let d(s) = -3*s. Give v*d(p) + 2*w(p). -6*p Suppose -7*k = -5*k - 4. Let w(p) = 3 + 0 - 11*p - 14 + 20*p**k. Let r(y) = -2*y**2 + y**2 - 4*y - 4 + 8*y**2. Calculate 11*r(u) - 4*w(u). -3*u**2 Let f(u) = -u**2 + u - 1. Let i(a) = -2*a**2 - 6*a - 7. Give 5*f(t) - i(t). -3*t**2 + 11*t + 2 Let q(t) = -t + 4. Let x(l) = l**3 - l**2 - 2*l + 5. Determine -3*q(c) + 2*x(c). 2*c**3 - 2*c**2 - c - 2 Let h(t) = -19*t + 7. Suppose -4*x - 11 = 3*m + 6, -3*x = -3*m - 3. Let n(u) = -10*u + 3. Determine m*h(c) + 7*n(c). -13*c Let q(c) = -4*c**2 + 23*c - 2. Let z(w) = 23*w**2 - 113*w + 10. Give -11*q(l) - 2*z(l). -2*l**2 - 27*l + 2 Let d(q) = 2*q + 2. Let l be d(-4). Let g(t) be the second derivative of -4*t**3/3 + 11*t**2/2 + 81*t. Let m(j) = 4*j - 6. Determine l*g(x) - 11*m(x). 4*x Let c(p) = 1. Let s(h) = 2*h - 5. Let t(v) = 8*v - 2. Let j(x) = x. Let a(n) = 10*j(n) - t(n). Let d be (-12)/(-18)*54/(-12). Let k be a(d). Give k*c(g) - s(g). -2*g + 1 Let p(d) = -21*d**2 - 28*d - 42. Let c(o) = -14*o**2 - 18*o - 28. Let t(q) = -7*c(q) + 5*p(q). Let w(l) = l**2 + l + 1. Determine t(b) + 14*w(b). 7*b**2 Let z(t) = 29*t**3 + 7*t. Let k(y) = 29*y**3 + 7*y. Determine 4*k(r) - 3*z(r). 29*r**3 + 7*r Let b(j) = 7*j**3 - j**2 + 4*j + 4. Suppose 0 = 10*m - 12*m + 6. Let q(t) = -6*t**3 - 3*t - 3. Determine m*b(r) + 4*q(r). -3*r**3 - 3*r**2 Let b(i) = 8*i**2 + 1. Let c(w) = 10 + 7 - 23*w**2 - 20. Calculate -11*b(o) - 4*c(o). 4*o**2 + 1 Let i(x) be the second derivative of 17*x**5/20 + x**3/2 - 659*x. Let f(n) = -9*n**3 - n. Determine 11*f(r) + 6*i(r). 3*r**3 + 7*r Let b = -23 + 24. Suppose -8*h - 7 - b = 0. Let s(y) = y**3 + 5*y**2 + 2*y - 7. Let a(o) = -o**2 + 1. Determine h*s(z) - 5*a(z). -z**3 - 2*z + 2 Let j(b) = 182*b + 6. Let t(v) = -182*v - 9. Determine -4*j(l) - 3*t(l). -182*l + 3 Let k(l) = -7*l - 9. Let g(a) = -10*a - 13. Suppose -5*d + 0*i = -5*i - 30, 10 = d - 5*i. Suppose -786*j + 779*j = 49. What is d*g(q) + j*k(q)? -q - 2 Let s(i) = 32*i + 2. Let c(j) = 1343*j + 85. What is -6*c(n) + 255*s(n)? 102*n Let b(w) = 5369*w**3 + 130*w**2 + 65*w. Let f(h) = 244*h**3 + 6*h**2 + 3*h. What is -3*b(m) + 65*f(m)? -247*m**3 Let k(a) = -331*a + 655*a + 3 - 321*a - 3*a**3. Let q(g) = 0*g**3 + 5 + g**3 - 14*g + 15*g**3 - 19. What is 14*k(b) + 3*q(b)? 6*b**3 Let m(i) = 5*i + 28. Let l be m(-5). Let w(a) = -2*a**2. Let j(z) = -z**2 + 1. Calculate l*j(o) - w(o). -o**2 + 3 Let d(w) = 4*w**2 + 4*w - 4. Let y(r) = -2852 + 1429 + 1428 - 4*r**2 - 5*r. What is 3*d(i) + 2*y(i)? 4*i**2 + 2*i - 2 Let q(d) = -2*d**2 + 23*d + 12. Let c be q(12). Let b(k) = -10*k + c + 22*k**2 - 4 - 31*k**2 + k. Let p(v) = 5*v**2 + 5*v + 2. What is 4*b(n) + 7*p(n)? -n**2 - n - 2 Let r(w) = -3*w**2 - 6*w + 5. Let b(c) = -2*c**2 - 3*c + 3. Let a = -127 + 134. What is a*b(i) - 4*r(i)? -2*i**2 + 3*i + 1 Let u(q) be the first derivative of q**4/2 + 2*q**2 - 182. Let j(r) = 9*r**3 + 15*r. What is -4*j(b) + 15*u(b)? -6*b**3 Let w be 1 - 3/(9/3). Suppose w*p + p = -8. Let d be (p/(-12))/(3/(-18)). Let n(v) = -v**3 - 3*v**2 + 1. Let y(k) = -k**3 - k**2. Give d*y(s) + 2*n(s). 2*s**3 - 2*s**2 + 2 Let d(t) = t**2 + 18*t + 21. Let f(a) = 10*a + 11. Give 6*d(x) - 11*f(x). 6*x**2 - 2*x + 5 Let l(b) = 77*b - 1. Let y(v) = -v. Give 2*l(p) + 18*y(p). 136*p - 2 Let n(c) be the third derivative of 0 + 0*c**5 + 5*c**2 - 1/40*c**6 - 1/8*c**4 + 0*c + 2/3*c**3. Let a(m) = 4*m**3 - m**2 + 4*m - 5. Give 4*a(f) + 5*n(f). f**3 - 4*f**2 + f Let j(g) = -g + 3. Let f(c) = 33. Let h(z) = 20. Let u(q) = -3*f(q) + 5*h(q). What is 3*j(y) - 7*u(y)? -3*y + 2 Let l(k) = -6*k + 2. Suppose 6*z - d = 2*z + 76, 3*z + 4*d = 76. Let m be (2/(-2))/(4/z). Let h(q) = 7*q - 2. What is m*h(f) - 6*l(f)? f - 2 Let p(r) = -5*r + 70. Let w be p(15). Let d(q) = -q. Let b(u) = 7*u + 5. What is w*d(f) - b(f)? -2*f - 5 Let t(n) = -2197*n + 27. Let s(o) = 439*o - 5. What is -11*s(g) - 2*t(g)? -435*g + 1 Let b(z) = -26*z + 1. Let r(x) = 9*x. Suppose -143*i = -91*i - 312. What is i*b(q) + 17*r(q)? -3*q + 6 Let h(z) = -3*z**3 + z**2 - 4*z + 2. Let u(b) = 2 + 8*b**3 - 4*b + 15*b - 1 - 6 - 3*b**2 + 0*b**3. Calculate 11*h(r
{ "pile_set_name": "DM Mathematics" }
Sort 98, 2, 0.11, -6, 0.2, -0.11. -6, -0.11, 0.11, 0.2, 2, 98 Sort 0.5, 4, 2, -335/17, -4 in ascending order. -335/17, -4, 0.5, 2, 4 Put -1, -3, 2, -111, -12 in decreasing order. 2, -1, -3, -12, -111 Put -4.5, 2/7, 2/9, 0.1, 1/2 in decreasing order. 1/2, 2/7, 2/9, 0.1, -4.5 Sort 1.8, 0.5, -3, -1, 5, 0.005. -3, -1, 0.005, 0.5, 1.8, 5 Sort -3, 5, 1, -5106, 3. -5106, -3, 1, 3, 5 Put 1, 10, -4, -375 in increasing order. -375, -4, 1, 10 Sort 3, -6605, 5 in decreasing order. 5, 3, -6605 Put 3/8, -9, 78, 21/4 in decreasing order. 78, 21/4, 3/8, -9 Put 2/15, -2, -3, 939, 3 in descending order. 939, 3, 2/15, -2, -3 Sort 0.047, -5, 0, 6/11 in increasing order. -5, 0, 0.047, 6/11 Sort 0, 2, -359, -2, 9 in descending order. 9, 2, 0, -2, -359 Put -6, -153, 8, -5 in decreasing order. 8, -5, -6, -153 Put -0.5, -2/7, 5, 1, 1656, -4 in increasing order. -4, -0.5, -2/7, 1, 5, 1656 Sort -1366/79, 1/6, -4/5 in descending order. 1/6, -4/5, -1366/79 Sort -4, 39, 2, -3 in descending order. 39, 2, -3, -4 Put 2, -68, 180 in decreasing order. 180, 2, -68 Sort -3, 9127, 1, -1 in descending order. 9127, 1, -1, -3 Put 3/7, -5.1, -3/43 in descending order. 3/7, -3/43, -5.1 Put 11, 4, -23 in decreasing order. 11, 4, -23 Put 0, 3, -3, -50, -2 in descending order. 3, 0, -2, -3, -50 Sort -2/9, 66/17, -1/5, 1/6, 31 in decreasing order. 31, 66/17, 1/6, -1/5, -2/9 Put 15, -5, -1, 0.5, -10 in decreasing order. 15, 0.5, -1, -5, -10 Put -16, -0.3, -2.8, -2/7, -42/59 in ascending order. -16, -2.8, -42/59, -0.3, -2/7 Put 373, -10, 4, 5 in descending order. 373, 5, 4, -10 Sort 1, 217621, 2 in ascending order. 1, 2, 217621 Sort 1, -14, -1742. -1742, -14, 1 Sort -1/4, 2/5, 0.2, -0.5, 0.11 in increasing order. -0.5, -1/4, 0.11, 0.2, 2/5 Put 3/5, 0.02, -86, 0.5, 3/22 in increasing order. -86, 0.02, 3/22, 0.5, 3/5 Sort 61.64, -1/2, 407 in descending order. 407, 61.64, -1/2 Put -3, 2, 0, 150615, -2 in decreasing order. 150615, 2, 0, -2, -3 Sort 2, 0, 1201. 0, 2, 1201 Sort -2/7, -0.6, -696 in descending order. -2/7, -0.6, -696 Put -3, 1/3, -0.5, 5, -1/3 in increasing order. -3, -0.5, -1/3, 1/3, 5 Sort 0.0375, 0, 1/21 in increasing order. 0, 0.0375, 1/21 Put 5, -0.09, 2, -1/28, 1/2 in descending order. 5, 2, 1/2, -1/28, -0.09 Put 6, -5, -91, -15 in increasing order. -91, -15, -5, 6 Sort 2, -2/5, 1/10, -3.6, -0.1, 1/9 in ascending order. -3.6, -2/5, -0.1, 1/10, 1/9, 2 Sort -19041, -3, 0 in decreasing order. 0, -3, -19041 Put 25, 1, 5992, -3 in increasing order. -3, 1, 25, 5992 Sort 4, 159, -2, 7 in ascending order. -2, 4, 7, 159 Sort 13/6, 0.1, -0.02, -0.08, -0.1 in decreasing order. 13/6, 0.1, -0.02, -0.08, -0.1 Put -3, -2, 0, 42, 2, 5 in descending order. 42, 5, 2, 0, -2, -3 Put -5, 64, 3, 251 in descending order. 251, 64, 3, -5 Sort 168, -2, 35 in increasing order. -2, 35, 168 Put -0.2, 0.1, -4/105, -18 in ascending order. -18, -0.2, -4/105, 0.1 Sort -1/6, -2, 36/11, 2/7, 612 in descending order. 612, 36/11, 2/7, -1/6, -2 Sort -2/17, -5, 1/2, 251.6, -4/3 in descending order. 251.6, 1/2, -2/17, -4/3, -5 Sort 1, -4, -1927/5. -1927/5, -4, 1 Put 0.13, -1, 6225 in decreasing order. 6225, 0.13, -1 Put -320, -47, 5 in descending order. 5, -47, -320 Put 1, 2, 17, -2, -56, -1 in ascending order. -56, -2, -1, 1, 2, 17 Sort 5, -5637, 4 in descending order. 5, 4, -5637 Sort -0.4, 1/5, 180, -4, -19.2 in decreasing order. 180, 1/5, -0.4, -4, -19.2 Put 843, 85, 5 in increasing order. 5, 85, 843 Sort -2/281, 7/12, 4, -1/4, 3, 0. -1/4, -2/281, 0, 7/12, 3, 4 Put 762, 1, -22.7 in ascending order. -22.7, 1, 762 Sort 26, -16.04, -1 in decreasing order. 26, -1, -16.04 Sort -218, -6/7, -2, 2, -0.2. -218, -2, -6/7, -0.2, 2 Sort 1/5, -2/11, 0.218 in descending order. 0.218, 1/5, -2/11 Sort -28, 3, 149, -91 in descending order. 149, 3, -28, -91 Sort -3, 4, -25, -6 in descending order. 4, -3, -6, -25 Put -2, -3, 557, 0 in ascending order. -3, -2, 0, 557 Put -0.5, -1/6, 15/8, 41, -4 in descending order. 41, 15/8, -1/6, -0.5, -4 Sort -2, -147, 7/2, 272, 5 in descending order. 272, 5, 7/2, -2, -147 Sort 0.39, -4, -2/329, -0.1, 4, -3 in increasing order. -4, -3, -0.1, -2/329, 0.39, 4 Sort 11, 0, 2754, 5, 9. 0, 5, 9, 11, 2754 Sort -1, 1139, 0, 180. -1, 0, 180, 1139 Put 2, -5, 3477, 3, -3 in decreasing order. 3477, 3, 2, -3, -5 Put -3, 196, -2, 2, -6, 4 in ascending order. -6, -3, -2, 2, 4, 196 Sort 1/2, -0.1, 151, -2/3, 0.4, -5 in increasing order. -5, -2/3, -0.1, 0.4, 1/2, 151 Put -1/4, 8/4137, 2/13 in ascending order. -1/4, 8/4137, 2/13 Put -2/3, 15.3, -2/85 in ascending order. -2/3, -2/85, 15.3 Sort 69, -7, -8, -5 in increasing order. -8, -7, -5, 69 Sort -15, 5, -17, -200 in decreasing order. 5, -15, -17, -200 Sort -5, 10, -0.18, -6, -4, 5/3 in ascending order. -6, -5, -4, -0.18, 5/3, 10 Put -5, 12, -10194 in ascending order. -10194, -5, 12 Sort -1, -5, 4, 413, 5, -7 in increasing order. -7, -5, -1, 4, 5, 413 Sort -74, 5, -5, -66, -1, 4. -74, -66, -5, -1, 4, 5 Sort -0.3, -2, -148, -14.2. -148, -14.2, -2, -0.3 Sort 5, -5, 3, 276 in ascending order. -5, 3, 5, 276 Sort 2, -3, -111, -4, 15 in decreasing order. 15, 2, -3, -4, -111 Sort 4, 131, -5417. -5417, 4, 131 Sort -0.5, 2/13, -328, 3.2, -5, 2 in ascending order. -328, -5, -0.5, 2/13, 2, 3.2 Sort 2, 1/2, 0.1, 1604. 0.1, 1/2, 2, 1604 Put -413, -1/5, 0.2, -2/39, -1 in decreasing order. 0.2, -2/39, -1/5, -1, -413 Sort -3, 3, 2, -4, -730. -730, -4, -3, 2, 3 Put -21, -11, -2, -6, 4 in increasing order. -21, -11, -6, -2, 4 Put -220, 3, 9 in increasing order. -220, 3, 9 Put -59, 198, -2/9 in descending order. 198, -2/9, -59 Sort 129, -11, -2. -11, -2, 129 Put -79, 3, 10, -1/4 in decreasing order. 10, 3, -1/4, -79 Put -181, -2, 14 in descending order. 14, -2, -181 Put 5/4, 12, -30, -0.3, -0.09 in decreasing order. 12, 5/4, -0.09, -0.3, -30 Sort -2, -3, 15, 2, 4, 3. -3, -2, 2, 3, 4, 15 Put -4, 2, 16, 0, 20, 3 in ascending order. -4, 0, 2, 3, 16, 20 Sort 8, -3, -58, 5, -4 in descending order. 8, 5, -3, -4, -58 Put 7, 35, -3/2, -24 in decreasing order. 35, 7, -3/2, -24 Put 1, 5, -5, -77/4, -1, 4/5 in decreasing order. 5, 1, 4/5, -1, -5, -77/4 Sort -4, 3, 28, -5, 6, 1 in decreasing order. 28, 6, 3, 1, -4, -5 Sort -15, 17, -4, -2, 11, 5 in ascending order. -15, -4, -2, 5, 11, 17 Sort -1, 5, -36, 2, -2 in increasing order. -36, -2, -1, 2, 5 Put 2.1, -2, 1/3, -12, 0.2 in descending order. 2.1, 1/3, 0.2, -2, -12 Put 7, -7, -6, -5, 120 in decreasing order. 120, 7, -5, -6, -7 Sort -4, -3/7, -2, 6/4787 in increasing order. -4, -2, -3/7, 6/4787 Sort 57, -4, 259, -1 in increasing order. -4, -1, 57, 259 Put 11, -194, 30 in ascending order. -194, 11, 30 Put -26, -1011, -7, 4 in ascending order. -1011, -26, -7, 4 Sort -64, -3, -31, -1, 4, -4. -64, -31, -4, -3, -1, 4 Sort 1/10, -25, 20, 3, 5, 2. -25, 1/10, 2, 3, 5, 20 Sort -2, -4, 16, 50, 19. -4, -2, 16, 19, 50 Sort -14, 0, 9011, 4. -14, 0, 4, 9011 Sort -16, 0, 4, 7, -2 in decreasing order. 7, 4, 0, -2, -16 Sort 0, 784, 3, -3, -6. -6, -3, 0, 3, 784 Put 0, -2, 1, -22934 in descending order. 1, 0, -2, -22934 Sort 0, 4, -71272 in descending order. 4, 0, -71272 Sort 9, -1/6, -549 in increasing order. -549, -1/6, 9 Put -5, -45/61, 4, -9 in increasing order. -9, -5, -45/61, 4 Sort 2, 1, 3000, -2, -4 in decreasing order. 3000, 2, 1, -2, -4 Sort -2, 112, 3, -5, 5, 418. -5, -2, 3, 5, 112, 418 Put 60, -8, -791 in decreasing order. 60, -8, -791 Put 0, -383, 0.7, 0.4, 21 in increasing order. -383, 0, 0.4, 0.7, 21 Sort 2/11, -4, 8902, 4 in decreasing order. 8902, 4, 2/11, -4 Put -23, -0.1, -1/4, 0.16, -3, 0.3 in increasing order. -23, -3, -1/4, -0.1, 0.16, 0.3 Put 1, 0, 58, 4, 2, 29 in ascending order. 0, 1, 2, 4, 29, 58 Sort -8, 3, 0.2, -1/7, -1.2, -2 in increasing order. -8, -2, -1.2, -1/7, 0.2, 3 Put 4/9, -256, -1/5 in decreasing order. 4/9, -1/5, -256 Put 1, 5, 4, -3934 in descending order. 5, 4, 1, -3934 Sort -1/5, -2/421, -0.06, -0.35 in descending order. -2/421, -0.06, -1/5, -0.35 Sort 40, 599, 1, -2 in increasing order. -2, 1, 40, 599 Sort 1, -3, 16, 40158, -2 in ascending order. -3, -2, 1, 16, 40158 Sort -10, 3, 2, -3, -195. -195, -10, -3, 2, 3 Sort -30/143, -1/7, -27 in ascending order. -27, -30/143, -1/7 Put 6/7, 8, 629/7 in decreasing order. 629/7, 8, 6/7 Put -7, -0.19, -1/124 in decreasing order. -1/124, -0.19, -7 Sort 2/37, -1, 1/5, -0.06,
{ "pile_set_name": "DM Mathematics" }
at is the greatest common factor of 1196 and 25093874? 598 What is the greatest common divisor of 16135200 and 180? 180 Calculate the greatest common factor of 73278 and 1137166. 2714 Calculate the highest common divisor of 1219752304 and 1226. 1226 Calculate the greatest common factor of 586 and 107795872. 586 What is the greatest common factor of 116643699 and 27? 27 Calculate the highest common factor of 954327 and 22227. 717 What is the highest common factor of 928 and 1086166? 58 What is the highest common divisor of 222982732 and 42? 14 What is the greatest common factor of 76 and 317784861? 19 What is the highest common divisor of 97463364 and 30? 6 What is the greatest common divisor of 51 and 14551473? 51 Calculate the highest common divisor of 36 and 24428439. 9 Calculate the greatest common divisor of 820 and 1536700. 20 Calculate the highest common factor of 264 and 22842468. 132 Calculate the greatest common divisor of 845853 and 688. 43 Calculate the highest common divisor of 1113863665 and 230. 115 Calculate the highest common factor of 14931150 and 1710. 570 What is the greatest common divisor of 10697 and 16632709? 563 Calculate the greatest common factor of 40411855 and 135300. 2255 What is the highest common factor of 344618855 and 3580? 895 What is the highest common divisor of 56 and 137464? 8 Calculate the greatest common divisor of 3505 and 6888727. 701 What is the highest common divisor of 2210 and 4765865? 1105 Calculate the greatest common divisor of 21108 and 966312. 12 What is the highest common divisor of 435 and 5555130? 15 Calculate the highest common factor of 521920 and 4130. 70 What is the greatest common divisor of 29080928 and 1424? 1424 What is the greatest common factor of 3350 and 3914810? 670 Calculate the greatest common divisor of 40 and 6697230. 10 Calculate the highest common factor of 19848 and 14792. 8 What is the highest common divisor of 54610 and 51514? 86 Calculate the highest common divisor of 20 and 23289124. 4 Calculate the greatest common divisor of 43989 and 1115628. 93 Calculate the highest common factor of 150371808 and 192. 96 What is the greatest common factor of 94092312 and 240? 24 Calculate the highest common divisor of 807138710 and 14. 14 What is the highest common divisor of 34358085 and 333? 9 Calculate the greatest common divisor of 792 and 112535280. 792 Calculate the highest common divisor of 1466055612 and 3402. 1134 What is the greatest common divisor of 2262834 and 12768? 42 Calculate the greatest common factor of 255589557 and 203. 29 Calculate the greatest common divisor of 29 and 794831855. 29 Calculate the highest common divisor of 1674 and 7495938. 18 What is the highest common divisor of 10 and 1130730? 10 Calculate the greatest common factor of 246 and 6976929. 123 What is the greatest common divisor of 12517692 and 6512? 1628 Calculate the highest common factor of 2664375 and 1545. 15 Calculate the greatest common divisor of 378 and 1610166600. 378 What is the greatest common factor of 8844823 and 247? 247 What is the greatest common divisor of 78700 and 1049858? 1574 Calculate the greatest common divisor of 1078 and 29224118. 154 Calculate the greatest common divisor of 120 and 8760072. 24 Calculate the highest common factor of 36981 and 31633. 7 Calculate the highest common divisor of 440 and 24105125. 55 What is the highest common divisor of 74434466 and 136? 34 What is the highest common divisor of 43550 and 145457? 871 Calculate the greatest common factor of 424 and 15341804. 212 Calculate the highest common factor of 1075863 and 858390. 213 Calculate the greatest common divisor of 37155765 and 3. 3 What is the highest common factor of 1053 and 7340463? 1053 Calculate the greatest common divisor of 33829845 and 735. 735 Calculate the highest common divisor of 127186 and 24434. 38 What is the highest common factor of 63493152 and 27136? 1696 Calculate the greatest common factor of 599721 and 5977. 43 What is the highest common factor of 264269477 and 123? 41 Calculate the highest common factor of 168585 and 120. 15 Calculate the highest common divisor of 19610339 and 3087. 343 What is the highest common divisor of 405 and 4918293? 27 What is the greatest common factor of 1375 and 23102875? 125 What is the greatest common divisor of 1078 and 1405773446? 1078 What is the highest common divisor of 663549 and 80736? 2523 Calculate the greatest common divisor of 11761010 and 70. 10 Calculate the greatest common divisor of 25474614 and 1452. 726 What is the highest common factor of 93969 and 36051? 591 Calculate the highest common factor of 1000 and 19717000. 1000 What is the greatest common factor of 571445760 and 1850? 370 Calculate the greatest common divisor of 40 and 76988. 4 Calculate the greatest common factor of 184442928 and 5904. 1968 What is the highest common factor of 58 and 10030781? 29 Calculate the highest common factor of 464615 and 16. 1 Calculate the greatest common factor of 15358135 and 18239. 299 Calculate the highest common divisor of 8093988 and 1764. 252 Calculate the highest common divisor of 4300175 and 715. 55 Calculate the highest common divisor of 266211 and 137687. 11 What is the highest common divisor of 9280 and 388? 4 What is the highest common factor of 12881 and 16808? 11 Calculate the highest common factor of 6668100 and 1241127. 2151 Calculate the highest common factor of 20680 and 1565560. 40 Calculate the greatest common divisor of 453188 and 821826. 3382 What is the highest common divisor of 29785 and 146076? 259 Calculate the highest common divisor of 405 and 184455. 45 What is the greatest common divisor of 3279 and 985155? 3 What is the greatest common factor of 19097 and 257753? 113 What is the greatest common factor of 1301228 and 4? 4 What is the highest common factor of 8188 and 68183523? 2047 Calculate the greatest common divisor of 53880 and 2910. 30 Calculate the highest common divisor of 147188379 and 156. 39 Calculate the highest common divisor of 59087322 and 5796. 2898 What is the highest common divisor of 90184117 and 235? 47 Calculate the highest common divisor of 3963059294 and 8054. 8054 Calculate the highest common factor of 8472 and 230089989. 1059 What is the greatest common divisor of 54491793 and 13212? 1101 Calculate the greatest common factor of 127959 and 1233077. 193 What is the highest common factor of 1653852 and 466546? 974 What is the highest common factor of 9860 and 152540? 580 What is the highest common divisor of 5211596 and 24180? 1612 What is the greatest common divisor of 13270656 and 1792? 896 What is the greatest common factor of 30764993 and 603? 67 Calculate the highest common factor of 40194894 and 12435. 2487 Calculate the greatest common divisor of 7956312 and 2184. 2184 What is the greatest common factor of 987 and 34065864? 21 Calculate the greatest common factor of 504284918 and 118. 118 What is the highest common divisor of 1834434 and 63? 63 What is the greatest common divisor of 34311654 and 11544? 2886 Calculate the highest common factor of 3384 and 20645032. 376 Calculate the greatest common divisor of 512 and 2831936. 64 What is the greatest common divisor of 719187 and 14973? 483 Calculate the greatest common divisor of 163192 and 1016. 8 What is the highest common factor of 311385825 and 225? 225 Calculate the highest common factor of 21544 and 9756. 4 Calculate the greatest common factor of 77351454 and 102. 6 Calculate the greatest common factor of 286 and 39662194. 286 What is the greatest common divisor of 104 and 301064? 8 What is the highest common factor of 206897401 and 2963? 2963 Calculate the highest common divisor of 495016 and 6536. 344 Calculate the greatest common factor of 264 and 19603656. 24 What is the highest common factor of 103909886 and 40671? 4519 Calculate the highest common divisor of 10975 and 4428193. 439 Calculate the greatest common divisor of 32 and 4671008. 32 Calculate the greatest common factor of 867783 and 47859. 903 What is the greatest common factor of 1866599 and 153643? 3269 What is the highest common factor of 135 and 324081? 27 What is the highest common divisor of 5319 and 34869? 591 What is the highest common divisor of 3863
{ "pile_set_name": "DM Mathematics" }
e? False Let v(s) = -9973*s - 4940. Is v(-7) a prime number? True Suppose 448*i = 453*i - 140. Suppose -18*g = -i*g + 168650. Is g a composite number? True Suppose 14*u - 998 = -q + 10*u, -3*u = 3*q - 2985. Let h be (-1)/(-3) - (-33)/9. Suppose h*r - 8 = 0, -2*r + q + 177 = 3*n. Is n prime? True Suppose -110*v = -113*v - 2289. Let o = v + 4748. Is o a prime number? False Suppose 0 = 3*l - 33841 + 1516. Suppose -f + 4330 = f - 3*u, -5*u + l = 5*f. Is f composite? True Let o = 13998 - -16635. Is o composite? True Let b = 163837 + 75324. Is b prime? False Suppose r - 18 = -2*m, -m - 9 = -2*m - 3*r. Let t(u) = -39*u**2 - 11*u + 7. Let i(p) = 46*p**2 + 12*p - 7. Let a(l) = -3*i(l) - 4*t(l). Is a(m) composite? False Let z(d) = -3122*d**2 - d - 1. Let r be z(-1). Let q = 9934 - 14617. Let g = r - q. Is g a prime number? False Let r(f) = -f**3 - 3*f**2 + 70*f - 1. Let x be r(-10). Is (x + 2039)*1334/116 composite? True Let c(r) = -1279*r - 2116. Is c(-63) composite? True Is 3/(-6*(-15)/11755410) a prime number? True Let p(c) = -97347*c - 10471. Is p(-16) a composite number? True Let v = -81 - -93. Suppose -v*k + 13203 + 7989 = 0. Let s = k + -975. Is s composite? True Let z(j) = -95*j + 1186. Is z(-24) prime? False Let d(f) = 388*f - 175 - 103 + 373. Is d(12) composite? False Let u(p) be the first derivative of -155*p**2/2 + 11*p - 1. Let l be u(-5). Is (-1 + l - -2)*(2 + -1) composite? False Suppose -3*p = -1045 - 1145. Let b = -1317 - p. Is 1*b*1/(-1) a composite number? True Suppose -323028 + 69333 = -5*d - 2*w, 0 = 4*d - 3*w - 202933. Is d composite? True Is ((-4)/(-5))/((-32)/80)*(-19554)/12 composite? False Suppose 5*k - 7*k = 0. Suppose 2*y - z - 26515 = 0, k = -3*y + 5*z - 8100 + 47883. Suppose 14*f - y = 6*f. Is f prime? True Let f = 60 - 57. Suppose -3*c + f*a = -a - 2667, 5*a - 1801 = -2*c. Is c a prime number? False Let q(h) = 5*h - 46. Let t be q(11). Is (t - (-23368)/16)/(2/4) composite? False Suppose 5*q - 4*q - 8 = 0. Suppose -2*g - 15 = 3*c + 1, -2*c = -q. Is g/(-77) + (-1)/(11/(-19325)) a composite number? True Let r = 7636274 - 5406031. Is r a prime number? True Let f(a) = 691*a - 256. Is f(9) a prime number? False Suppose 114 = 5*m + 464. Let h be (10/(-35) + 22/m)*-5. Suppose 2*c - 158 = -h*u + 323, -162 = -u - c. Is u a composite number? False Suppose 6 = 66*v - 72*v. Is ((-4430)/4 + v)/(12/(-16)) a composite number? True Suppose 4*k + 2*j - 3*j + 7003 = 0, -7015 = 4*k - 5*j. Let d = k - -3012. Is d prime? False Let n(y) = 64*y**2 - 13*y - 1. Let z be n(9). Let u be (5 + -5)/(3 + -2). Suppose 5*w = 0, -x - x + 3*w + z = u. Is x composite? True Let u = 84954 - -5375. Is u composite? True Suppose -2*c = -3*q + 16, -4*q = -3*c - 21 - 1. Suppose -4*v + 23824 = -4*h, 2*h = q*v - 19107 - 4707. Is v a prime number? False Suppose 3*v + 5*m - 4*m - 3102536 = 0, -2*m + 1034182 = v. Suppose 6530 = -64*b + v. Is b a prime number? True Suppose -17152 = -8*z + 6*z. Let j = z + -2055. Is j a prime number? True Suppose 151*j + 150*j = 266*j + 5859665. Is j a prime number? False Suppose 4*c - 5 = 5*y, -9*y + 7*y - 9 = -3*c. Suppose -c*d = p - 21241, -5*p + 12767 = 3*d - 10*p. Is d a composite number? True Suppose 3*d - 2*u - 3271615 = 0, -36*u = -5*d - 38*u + 5452665. Is d a prime number? False Let p = -18 + 37. Let s = p + -26. Is (s/3)/(5/(-105)) a composite number? True Suppose g + 0 = 4. Suppose 0 = -n + 2 + g. Is 321/3*(8 - n) a prime number? False Suppose -3*a - 4*x - 8 = 2*a, 4*a + 3*x + 6 = 0. Suppose -7*m + 28 + 0 = a. Suppose m*g + 2225 = 9*g. Is g composite? True Let m be (-192)/9 - (-2 + (-16)/(-6)). Is (-7)/(m + 8)*26798 a prime number? True Suppose 3*z = -4*z - 245. Let w be (52/65)/((-2)/z). Suppose w*v = 11*v + 6693. Is v composite? True Suppose -24*a + 54*a = 640290. Is a prime? False Let z(l) be the first derivative of -l**4/4 + 4*l**3/3 + l**2/2 - 2*l + 9. Let h be z(3). Let u(k) = 5*k**2 - 2*k + 13. Is u(h) a composite number? True Is (4/16)/(12/12595344) a prime number? False Let v(f) = -7243*f - 285. Is v(-28) a composite number? False Suppose 369*o - 355*o = 728. Suppose 38 = j + 16. Let v = j + o. Is v a prime number? False Suppose 59*n = 38*n - 359793. Is ((-2)/6*-2)/((-2)/n) composite? False Suppose 0 = -3*i - 9, v - 7 = 5*i + 10. Suppose -v*t + 2*o - 4*o = -18, -12 = -2*t + 4*o. Suppose 5*b = t + 437. Is b a composite number? False Let u = -41 + 55. Suppose -21 = -4*z - o + 32, -2*o = -2*z + u. Is (-667)/(-4) + z/(-16) composite? True Let w(u) = -u**3 + 11*u**2 + 13*u. Let x be w(12). Suppose x*g - 5*g = 28. Is g/8 - (-3554)/4 composite? True Suppose 39*o + 310354 = 88*o - 38*o. Is o prime? False Let a(k) = 2*k**3 + 2*k**2 - 6*k + 3. Let j be a(2). Let d be (14 - j)*0/1. Suppose d = -t + 5*t - 2348. Is t composite? False Suppose -102391 - 72587 = 5*a - k, 5*a - 2*k = -174981. Is a/25*5/(-3) a prime number? True Let p be 1/22*-4 - 665856/99. Let o = p + 9545. Is o a prime number? True Let x(p) = -6747*p**2 - 62. Let z be x(-7). Is 8/60 + z/(-75) a composite number? False Let s(k) = 63*k**2 + k - 3. Let c be (-2 + 10/3)*(-12)/(-8). Suppose -c*z + 74 = 70. Is s(z) prime? True Suppose 11*k + 48131 = -3*k + 4021905. Is k composite? True Suppose -65 = -18*o - 11. Suppose j + 55293 = 6*j - 4*p, -4*j + 44222 = o*p. Is j composite? False Is ((-4)/3)/(100/(-2112975)) a prime number? False Suppose 27*g - 24*g - 70092 = 0. Let d = g - 13847. Is d prime? False Suppose -c + 10*c = -51957. Let q = -2114 - c. Is q prime? True Let i(m) = m + 13. Let r(q) = 4*q + 5. Let k be r(-3). Let l be i(k). Suppose -2*z = l*s - s - 9007, 0 = 4*s - 4*z - 7200. Is s prime? True Let u(b) = 59996*b - 327. Is u(4) prime? False Let x = 14083 + 49868. Is x a prime number? False Let l = -16 - -20. Let n be (-72)/l*(-175)/(-10). Let i = -174 - n. Is i a composite number? True Suppose 28*n - 209 + 237 = 0. Let v(t) = -t**2 - 4*t - 3. Let l be v(-3). Is (l - (-3 + n)) + (-1755)/(-3) a composite number? True Let f be 46 + -2 - (-2 - -3). Let v = f - 45. Is -2*v*327/6 prime? False Let c(d) = -d**3 + d**2 + 3*d + 1. Let o be c(-2). Suppose 1765 = -o*q + 17186. Is q a composite number? False Let x = -9892 - -21951. Let s = x + -6346. Is s a composite number? True Suppose 23 + 17 = 20*a. Suppose a*x + 27359 = 5*k, 5467 = -0*k + k + 2*x. Is k prime? True Let t be 36/8 + 2/4. Suppose -5*l - 13 = 267*p - 263*p, -17 = p + 4*l. Suppose -k + 1491 = -4*z, p*k + t*z = 5*k - 2976. Is k composite? False Let y(i) = 279*i**2 - 195*i + 1003. Is y(5) a composite number? True Suppose -3*t + 5*r = -2*t - 25, 0 = t + 2*r + 10. Suppose t = -8*k + 238 + 81882. Suppose -2*l = 3*l - k. Is l a prime number? True Suppose -39*v + 162*v + 356330 = 2073779. Is v a composite number? False Let h(l) = -2611*l + 22. Is h(-1) a prime number? True Suppose -s + 2*g = 7, -2*s + g - 2 = -s. Suppose 5*t - s*b - 590 = 195, 460 = 3*t - 4*b. Suppose o = t - 3. Is o a prime number? True Let f = -243 + 237. Let x(p) = -42*p**3 + 6*p**2 + 35*p + 13. Is x(f) prime? True Let g be ((-22745)/20 + 5)*-8. Suppose g = -118*y + 120*y. Is y composite? True Let u(w) = 2*w**3 + 115*w**2 + 249*w + 16. Is u(-54) a prime number? False Let a be 3 + 1 - (12 - 179). Let h be (12/3)/(1/2). Suppose v + h = a. Is v prime? True Let h(q) = 3*q**3 - 6*q**2 - 4*q - 17. Let u be h(3). Let w(b) = -4 + 70*b - 7 - 396*b. Is w(u) a composite number? False Let a = 6697 - -624. Let b = 468 + a. Is b a prime number? True Let g be (-10 - -681)*(4 - 3). Let v = g + -325. Is v a prime number? False Let m = 322498 - 153635. Is m composite? False Let s(k) = -8*k**2 + 4*k**3 - 7*k**2 - 3 - 10*k**2 + 23*k**2 - 4*k. Suppose 169*c - 4 = 168*c. Is s(c) composite? True Let y = -96013 - -167754. Is y a composite number? False Let n = 204 + -296. Let l = -87 - n. Suppose -4*m = 3*j - 597 - 44, m - l*j = 143. Is m a composite number? True Let r = 11430 + 39409. Is r a composite number? False Suppose -4*r = 39*n - 34*n - 110176, -5*r = 4*n - 137711. Is r prime? True Let r = -2534 + 12669. Is r prime? False Suppose 5*d + a = 2 - 7, -d - 5*a - 25 = 0. Suppose -4*l + 16 = d, -7*g = -3*g + 4*l - 24. Is 1/((-2272)/(-11260) + g/(-10)) a composite number? False Suppose 5*k - 2*m = 19, 2*m + 0*m - 21 = -3*k. Suppose 8*w = 4*d + 4*w - 7760, 9670 = k*d + 5
{ "pile_set_name": "DM Mathematics" }
10. Let k be f(-5). Suppose k*u + 129 = 4*s, s - 21 = 2*u - 3*u. Calculate the highest common factor of s and 39. 13 Suppose -l - 3*l = 12. Let i be l/6*2*-15. Suppose 2*s + 4*o - 10 = 0, s + 2*s - 4*o - 5 = 0. Calculate the highest common divisor of i and s. 3 Suppose -v = -3, 3*d - 2 + 5 = -2*v. Let r be (0 + d)/((-2)/24). Calculate the greatest common divisor of 24 and r. 12 Suppose -10*o + 728 - 78 = 0. Let m be 104/10 - (-39)/o. Calculate the highest common divisor of m and 77. 11 Suppose -2*w - 4*x + 46 = 0, -2*x + 0*x + 44 = 2*w. Let j = w + -20. Let l be (-42)/(12/(-4)) - j. Calculate the greatest common factor of 13 and l. 13 Let k(v) = 2*v - 11. Let a be k(7). Suppose -4*u + 120 - 46 = -5*n, 80 = 4*u - 2*n. What is the greatest common divisor of u and a? 3 Let i(w) = 13*w**2 - 6*w + 3. Let x be i(-10). Let b be x/13 + (-8)/(-52). Calculate the greatest common divisor of b and 15. 15 Let y be (-48)/4*3/(-9). Let t(u) = -u - 2. Let x be t(-4). Suppose -y*m - 4*h + 60 = 0, m - 2*m = x*h - 18. What is the greatest common divisor of m and 18? 6 Suppose 5*s + 16 = 31. Suppose -6 = -f - s*j, -3*j + 9 = -f + 45. Calculate the greatest common factor of 84 and f. 21 Let g(u) = -u**2 - 76*u - 97. Let m be g(-28). Calculate the highest common factor of 29 and m. 29 Suppose -18 = -y + x, -3*y + 3*x = 2*y - 84. Let o = -2 + 4. Suppose 1 = 4*n - 5*b + o, 2*n + b = 17. What is the greatest common divisor of y and n? 3 Let h(c) = -2*c - 4 + 0*c - 3*c - 2. Let g(x) = -10*x - 11. Let j(v) = 3*g(v) - 5*h(v). Let k be j(-5). What is the highest common divisor of 198 and k? 22 Suppose 130 = 5*k - 4*k + 5*u, -5*u + 340 = 3*k. What is the greatest common factor of k and 245? 35 Let x = 6217 + -6189. Let p(s) = -s**2 - 7*s - 3. Let g be p(-5). Calculate the highest common divisor of x and g. 7 Let o(u) = -7*u**3 - 2*u**2 - 2*u - 1. Let a be o(-1). Suppose 0 = -3*x + a + 3. Calculate the highest common factor of 3 and x. 3 Suppose 2*q - 332 = 618. What is the greatest common divisor of q and 25? 25 Let r = -200 - -470. What is the greatest common divisor of 108 and r? 54 Let k(s) = -s**3 - 8*s**2 - 7*s + 2. Let m be k(-7). Let x be (m*(10 - 4))/(4 + -3). What is the greatest common divisor of x and 3? 3 Let p = -22 + 34. Let w(z) = 3*z**2 - 4*z - 1. Let t be w(-2). Let c = 23 - t. What is the greatest common factor of c and p? 4 Let l(j) = -2*j. Let x be l(-6). Suppose -18*u + 15*u = -1128. Suppose u = 9*d + 106. What is the highest common divisor of x and d? 6 Suppose 22*m + 900 = 32*m. Calculate the greatest common divisor of m and 1035. 45 Suppose 0 = q + 16 - 126. Suppose -44 - 66 = -5*h. What is the greatest common divisor of q and h? 22 Let f = -251 + 262. Calculate the highest common factor of f and 154. 11 Let m = 599 - 845. Let s be ((14 - 1) + 2)*m/(-205). Suppose -3*y = b - 50 - 76, -y = 0. Calculate the highest common divisor of s and b. 18 Let u(o) = -o**3 + 19*o**2 - 4*o - 35. Let c be u(17). Calculate the highest common divisor of c and 50. 25 Suppose -5*q = 3*q. Suppose -5 = -2*u - 3*t, -5*u + q*t = -4*t - 47. Suppose 4*z = u*z - 99. Calculate the greatest common factor of 11 and z. 11 Suppose -3*p + p = 2*k - 2, 5*p = -3*k + 15. Let y be (-4)/p + ((-176)/(-6))/2. What is the greatest common factor of y and 154? 14 Suppose 0*s = 3*s - 4*t - 9, -t - 5 = 2*s. Let l be (3 - (4 - s))*-12. What is the greatest common factor of l and 192? 24 Let u(t) = -8*t**2 - 10 - t**3 + 9*t**2 + 2 + 3*t**2. Let f be u(-4). What is the greatest common divisor of f and 15? 15 Suppose -66*a + 5 = -71*a. Let w be (-2)/(-8)*a - (-2883)/124. Calculate the greatest common factor of w and 92. 23 Let j = -5 - -4. Let t = -7 - j. Let m be (t - -7) + 10/2. Calculate the highest common factor of m and 6. 6 Let o = 525 + -457. Calculate the highest common factor of 34 and o. 34 Let i(n) = -n**3 + 13*n**2 - 17*n + 40. Let w be i(11). Suppose -2*h = v - 34, -2*h - v = 3*v - 22. Calculate the highest common factor of h and w. 19 Let j = -6 - -11. Suppose f = -l + j*f + 54, -3*l + 5*f = -155. Let h = 19 + -9. What is the highest common factor of l and h? 10 Let a be 120*((-6)/2 - -5). Suppose 6*o - a = 2*o. What is the greatest common divisor of 15 and o? 15 Let u(b) = -18*b - 12. Let w be u(-2). Calculate the highest common factor of w and 3. 3 Let t = -602 - -622. Calculate the highest common divisor of t and 70. 10 Let u(p) = 2*p**3 - p**3 - 14*p + 12*p - 1. Let f be u(2). What is the highest common divisor of f and 1? 1 Let v = 23 + -26. Let i = 17 + v. Let y(z) = -z**3 - 11*z**2 - 13*z - 2. Let r be y(-10). Calculate the highest common divisor of i and r. 14 Suppose 3*j = 5*j + 8. Let y be (-2 - 21/(-2))/((-2)/j). Calculate the highest common divisor of y and 17. 17 Suppose a = -3*a - 3*k + 11, -2*a + 4*k = -22. Suppose a*j + t + 0*t = 36, 0 = -5*t + 5. Calculate the highest common factor of 21 and j. 7 Let i(v) = 2*v**3 - 2*v**2 - 6 - 3*v**3 - v**3 - 6*v. Let a be i(-3). What is the greatest common factor of 12 and a? 12 Let o(k) = -3*k - 5. Let l be o(6). Let n = l + 27. Suppose y = 0, -a - n*a = -4*y - 195. Calculate the highest common factor of a and 13. 13 Suppose -5*y + 2831 = 451. Calculate the highest common divisor of 833 and y. 119 Suppose -2*y + 22 + 48 = 0. Suppose 4*f - 4*p = 52, -f + 18 - 3 = p. Calculate the greatest common factor of f and y. 7 Let p be (-120)/(-54)*-3*3/(-2). What is the greatest common factor of 320 and p? 10 Suppose 3*d + 279 = 2871. Suppose 13*x = 7*x + d. Calculate the greatest common divisor of x and 18. 18 Suppose -2*s = n - 82 - 114, -4*n - 516 = -5*s. Let z = 45 + -20. What is the greatest common divisor of s and z? 25 Suppose -4*z + 135 = s - 2*s, 0 = -3*z + 3*s + 90. Suppose 0 = 5*u - z - 15. What is the highest common divisor of u and 40? 10 Suppose -2*m + 4*a + 7 = -11, -21 = -m + 5*a. Let j be (2/(-3))/m - 10505/(-165). What is the greatest common factor of j and 9? 9 Suppose 0 = 2*h - 391 + 231. What is the highest common divisor of h and 620? 20 Suppose -2*v + 6 = -v. Let a(y) = 2*y**3 + 21*y**2 + y + 146. Let s be a(-11). Calculate the greatest common factor of v and s. 2 Let n = 38 - 23. Let v be (320/28)/((-8)/(-56))*(-3)/(-2). Calculate the highest common factor of v and n. 15 Let f = 13 + -12. Let z = 4 - f. Suppose 228 = z*n - 168. Calculate the highest common divisor of 12 and n. 12 Let v(p) = -p**2 + 7. Let m be v(-3). Let o be m*(-4 - 7/2). Calculate the greatest common factor of o and 5. 5 Suppose 3*w + 0*w - 15 = 0. Let q be 3/(-2)*(12/6)/(-1). Suppose -w*l = o - 31, 2*l + q*l = 5*o - 95. Calculate the highest common factor of o and 21. 21 Suppose 0 = 4*a + 24. Let q be (a + (-7)/(-2))*(-44 - 0). What is the highest common divisor of 22 and q? 22 Suppose -6*w = -11*w + 10. Let y(q) = -11 - q**w + 15*q + 1 - 4*q. Let r be y(9). Calculate the greatest common factor of 16 and r. 8 Suppose -3*g - 21 = -3*z, 2*z + 10*g - 18 = 11*g. Calculate the greatest common factor of 99 and z. 11 Let x(d) = -d**3 + 3*d**2 + 2*d - 2. Let v be x(3). Suppose v*w = -w + 115. What is the greatest common factor of 253 and w? 23 Suppose 2 = 10*f + 22. Let r be -3 + f - 42/(-2). Calculate the greatest common factor of 144 and r. 16 Let r be ((-4)/6)/(9/(-81)). Let v be 2*((-705)/r)/(-5). Suppose -10 = -3*c + v. Calculate the highest common divisor of 209 and c. 19 Suppose -15*b = -56 - 19. Let j be 1/5 - (-3816)/45. Calculate the greatest common factor of b and j. 5 Let a be 150/20 + (-4)/(-8). What is the highest common factor of a and 2? 2 Let s(y) = 53*y - 99. Let h be s(3). What is the greatest common divisor of h and 240? 60 Let v be (-6)/(4/2 + -4). Suppose -y - v*y + 12 = 0. Calculate the greatest common divisor of 12 and y. 3 Let x = 223 - 218. Calculate the greatest common divisor of x and 85. 5 Suppose 136 = 3*x + 43. Let h = -25 + x. Let g be 46 - 4/(2/(-1)). Calculate the greatest common divisor of h and g. 6 Let n be 54 + -55 + (1 - -13). Let i(m) = -2 - 1 - 27*m + 2. Let u be i(-1). What is the highest common factor of n and u? 13 Suppose 3*l + 5*s = 2047, -5*l + 5*s = 3*s - 3422. What is the highest common divisor of l and 108? 36 Suppose -a = 5*x - 6876, -2*a = 20*x - 23*x + 4136. What is the greatest common divisor of
{ "pile_set_name": "DM Mathematics" }
4). -87 Let x(l) be the first derivative of l**3/3 - 3*l**2/2 + 4*l - 2265. Suppose 2*d = 7*d - 15. Calculate x(d). 4 Let p(x) be the second derivative of 1/20*x**5 + 10 - x**2 + x - 1/3*x**3 + 1/6*x**4. Determine p(-2). 2 Let i(t) = t**3 - 8*t**2 + 16*t - 27. Let p be i(6). Let a be 18 - 3 - (-2 - p). Let r(d) = a - 47 + 13 + 16 - d. Give r(-3). -1 Let d(b) = 52*b**2 + 8*b - 7. Let f be d(6). Let l be 3/(-8)*78/117 - 17/(-4). Let q(k) = 3*k + l - k + f*k**2 - k**3 - 1910*k**2. What is q(4)? -4 Let c(m) be the second derivative of -m**5/20 - m**2/2 - 1757*m. Give c(0). -1 Let c(q) = -q**3 + 3*q**2 + 3*q - 7. Let k(y) = -4*y**2 + 81*y - 217. Let j be k(17). Give c(j). -11 Suppose 3*f - 5*f = 4*l + 14, -5*f = 2*l + 11. Let p be 8 - (-1)/(-1)*(3 + f). Let c(v) = 4 + 5*v + 3*v - v**2 - 2*v. Give c(p). 4 Let v(x) = 2*x - 7. Let l(p) be the third derivative of -p**4/12 + p**3 + 10*p**2 - 2*p. Let j(m) = -3*l(m) - 2*v(m). Give j(0). -4 Let j(a) = 9*a + 2*a - 13*a. Let n(d) be the third derivative of d**5/60 - 3*d**4/8 + 7*d**3/6 - 6*d**2. Let l be n(8). Calculate j(l). 2 Let k = -2952 + 2949. Let m(x) = 12*x + 21. What is m(k)? -15 Let c(p) be the first derivative of -4*p - 27 - 1/3*p**3 - 2*p**2. Determine c(-6). -16 Let f(z) = z**2 - 2*z - 11. Let l be -1*(-5 + 49)/(-11). What is f(l)? -3 Let c(a) = 17*a + 9. Let f(y) = 2*y + 4. Let l(r) = 2*c(r) - 14*f(r). Give l(6). -2 Let w(l) = 78*l**2 - 158*l + 4. Let i be w(2). Let k(a) = 2*a - 14. Let j(r) = 2*r - 13. Let g(c) = -3*j(c) + 2*k(c). What is g(i)? 11 Let f(y) = 18*y**2 - 30*y - 48. Let j(z) = z**2 - z - 3. Let h(o) = -3*f(o) + 45*j(o). Let s be h(5). Let a(n) = -n + 7. What is a(s)? -2 Let q(u) = -34*u**2 + u + 1. Suppose 62 + 42 = -103*i + 1. Calculate q(i). -34 Let s(d) = -d**3 - 5*d**2 - 2*d + 5. Let z(y) = y**3 + 2*y**2 - 6*y + 7. Let q be z(2). Suppose 8*c + q + 21 = 0. What is s(c)? -3 Let b(t) = 2*t**2 + 9*t - 1. Let k(g) = -2*g**2 - 9*g. Let y(o) = -10*b(o) - 8*k(o). Determine y(-7). -60 Let z(a) = 4*a - 6307*a**2 - 4*a + 6305*a**2 + a**3. Let x = -192 + 194. Give z(x). 0 Let c(u) = 54 + 127 + 139 - 30*u - 50 + 9*u. Give c(13). -3 Suppose -9*w - 76*w - 693 = -8*w. Let t(j) = -j**2 - 4*j + 4. Calculate t(w). -41 Let r be ((-132)/(-2))/((-1)/(-5)). Let z = r + -339. Let d(x) = -x**3 - 10*x**2 - 9*x - 8. Give d(z). -8 Let l(a) = -a + 3. Let q(m) = -2*m + 23. Let d(s) = 6*l(s) - q(s). Suppose -3*u + r = -2, -2*u + 4 = 2*u - 2*r. Let v be -3 - ((u - -6) + -4). Give d(v). 15 Let y(q) = -18*q**2 - 10*q + 24. Let m(r) = 5*r**2 + 4*r - 7. Let b(g) = -7*m(g) - 2*y(g). Let v = 13 - 5. Give b(v). 1 Let k(g) = 28*g + 273. Let v(n) = 3*n + 17. Let q(o) = -k(o) + 6*v(o). What is q(-18)? 9 Let c(i) = -16*i - 38. Let h be c(-4). Let u = 31 - h. Suppose -2*n - 2*v = -n + 3, u*v = 3*n + 9. Let p(a) = a**3 - 2*a + 4. What is p(n)? -17 Let g(i) = i**2 + 6*i - 4. Let w(s) = 5*s**2 + 53*s - 7. Let h(b) = 6*g(b) - w(b). Let c be ((-10)/(-4) - -2)*4. Let z be h(c). Let v(d) = 2*d. Determine v(z). 2 Let u(r) = -r**3 - 6*r**2 - 7*r. Suppose -w - 2 = -3*z, -17 + 6 = 2*w + z. Give u(w). 10 Let w(y) = -41*y**2 - 123*y - 3. Let d be w(-3). Let s(z) = z**3 + 4*z**2 + 3*z - 4. Calculate s(d). -4 Let a(k) = -23*k**2 + 8*k - 7. Let j = 21555 + -21554. Determine a(j). -22 Let c(z) = -6*z**2 - 17. Let b(s) = s**2 + 8. Let t(w) = 5*b(w) + 2*c(w). Give t(3). -57 Let a(d) be the third derivative of 1/6*d**4 + 10*d**2 + 0 - 2/3*d**3 + 0*d. Let v be 39/15 + 6*(-2)/(-30). Determine a(v). 8 Suppose 0 = 26*b - 12 - 40. Let k(l) = -2 + 157*l - 62*l - l**b - 92*l. Suppose -5*f = -o + 6*o - 55, -5*f + 19 = -o. Give k(o). -20 Let f(q) be the third derivative of -q**5/60 + q**4/24 - 5*q**3/2 + q**2 + 13*q. Let a be (-115)/(-25) + -4 - (-9)/(-15). What is f(a)? -15 Let n(u) be the first derivative of -u**3/3 - 3*u**2/2 - 6*u + 61541. Let q = -3 + 8. Give n(q). -46 Let f(h) = -h**2 - h + 1. Let n(m) = 5*m**2 + 19*m + 1. Let s(z) = 6*f(z) + n(z). Suppose 4*j + 2*k = 2*j + 20, 4*j + 5*k - 36 = 0. Give s(j). -7 Let d(q) = 9*q**2 + 21*q + 11. Let x(i) = i**2 + 2*i. Let m(a) = -d(a) + 6*x(a). Let b(r) = -2*r**2 - 8*r - 11. Let n(u) = -4*b(u) + 3*m(u). Give n(8). -13 Let z be ((-8)/10)/(3 - 124/40). Let b(m) = -1 - 3*m**2 + z*m + 4*m**2 - 5 + 0. Determine b(-8). -6 Let g be -3 - (2 - 1184/2). Suppose 18 = 4*v - 5*p, -5*p - 2 - 18 = -5*v. Let w(a) = -a - g + v*a + 583. What is w(6)? 2 Let s be 17/4 + (-6)/24. Suppose s*f = 2*f. Let x(l) = -9*l + 14 + 7 + 2*l + 2*l + 4*l. What is x(f)? 21 Let s(t) be the third derivative of 5/24*t**4 - 2*t**2 + 0*t + 2/3*t**3 + 0. Let x be (-4800)/1125 + (-84)/(-315). Calculate s(x). -16 Let x(o) = o**3 + 7*o**2 + 6*o + 13. Let h be x(-6). Suppose c - 6 = -3*q, -5*q - 3*c - 3 = -h. Let k(s) = 3 - 5*s**q + 2*s + 4*s**2 - 6 + 5. Give k(3). -1 Let w(h) = -h**3 - 11*h**2 - 12*h - 1. Let k(a) = a**3 + 12*a**2 + 14*a + 3. Let d = -611 - -615. Let m(p) = d*w(p) + 3*k(p). Calculate m(-7). -2 Suppose 4*n - 11 = 98*c - 97*c, 4*n - 4*c = 20. Let x(l) be the first derivative of -2*l**n + 3*l - 12 + 0*l**3 + 3/4*l**4. Give x(2). 19 Let q(n) be the second derivative of -n**5/20 - 11*n**4/12 - n**3/3 - 17*n**2/2 + 1102*n. What is q(-11)? 5 Suppose 0 = -3*l + 8 - 8, 3*l = 2*o - 18. Let c(z) = -z**3 + 9*z**2 + 11. Give c(o). 11 Let j(l) = l**3 - l**2 - 2. Let m(w) = -31*w + 33. Let f(v) = -v**3 + 2*v**2 + 6*v + 1. Let d be f(0). Let i be m(d). Give j(i). 2 Let s(y) = -y**2 - y. Let o be 1 + 2*3/(-12)*-2. Suppose -6*j - o = -5*j. Let h(u) = 3*u**2 - 4*u + 3. Let g(q) = j*s(q) - h(q). Give g(5). 2 Let y(p) = -p**2 + 10*p - 5. Suppose 0 = 2*u + 3*f + 7, 3*u + 4*f - 1354 = -1360. Give y(u). -5 Suppose 3*a + y - 9 = 0, 2*a - 12 = -2*a - 2*y. Let f(p) = -a*p + 2 + 7*p + 5 - 14 - 3. Calculate f(-7). -38 Let r(n) be the first derivative of n**6/360 + 7*n**5/120 - n**4/8 + n**3/3 - 153. Let u(v) be the third derivative of r(v). Calculate u(-6). -9 Let n(h) be the second derivative of -h**4/12 + 5*h**3/6 - 7*h**2/2 - 672*h. What is n(6)? -13 Suppose -6*u + u = 10. Let x(l) = 18*l**2 - 4*l**2 - 5*l**2 + 2*l**3 - 2*l + l**3 - 2 - 10*l**2. Determine x(u). -26 Let g(l) = l**2 + 4*l + 10. Let i(q) = 2*q**2 + 4*q - 206. Let j be i(-11). Determine g(j). 42 Let l(o) = o + 2. Let w be 474/1027 + -1*2127/(-39). Let k = 131 + -192. Let y = k + w. What is l(y)? -4 Suppose -4 = -2*n + 2*o, 26 + 0 = 5*n + 3*o. Let l(h) = -h + n - 9 - h + h. Suppose 2*g - 5*g - 9 = 0. Determine l(g). -2 Let n(k) = k**3 + 48*k**2 + 45*k - 80. Let r be n(-47). Let t(p) = 7*p - 53. What is t(r)? 45 Let f(s) = 3*s - 94. Let m(y) = 2*y - 59. Let u(p) = -5*f(p) + 8*m(p). Let l = 7 - -1. Give u(l). 6 Let g = 34 + -30. Suppose -g*k + 7*k = -5*f - 5, -12 = 4*f + 4*k. Suppose f*b - 19 = 5*a - 2, b + 9 = -a. Let w(r) = -r**3 - 4*r**2 + 7*r + 4. Determine w(a). -6 Let j(q) = 2*q + 3323 - 3315 - 4*q. Suppose 3*b - 35 = -8. Give j(b). -10 Suppose -2*g + 3*t = -g + 14, 0 = -5*g + t. Let y(o) = 1 + 0 - o + 0*o + g - o**3. Let d = 187 - 185. What is y(d)? -8 Suppose 0 = 2*k + k + 2*j + 17, 5*j + 20 = -5*k. Let u(d) be the third derivative of d**6/120 + d**5/6 + 7*d**4/24 + 7*d**3/6 + 4*d**2 + 5. Determine u(k). 25 Let d = -639 - -638. Let m(j) be the third derivative of 0 + 0*j + 7/120*j**6 + 1/30*j**5 - 1/6*j**3 + 5*j**2 + 0*j**4. Give m(d). -6 Let h(t) = t**3 + 5*t**2 + 4*t + 4. Suppose 2*p - 180 = -3*p. Suppose p = 7*y - 16*y. Determine h(y). 4 Let k(y) = 2*y + 4*y + 6 - 4*y. Suppose -4*f = 2*t + 7962 - 7970, 0 = -4*f - 5*t + 2. Calculate k(f). 12 Let w be -3 + (0 - -1) - 2. Let t(a) = -5*a**3 - 14*a**2 - 6*a + 20. Let q(p) = -14*p**3 - 40*p**2 - 17*p + 56. Let s(y) = -4*q(y) + 11*t(y). Give s(w). 20 Suppose -2*l + 18*l - 192 = -16*l. Let m(g) be the third derivative of -1/30*g**5 + 0*g - 1/4*g**4 - l*g**2 + 0 + 0*g**3. Give m(-4). -8 Let o(p) = 44*p - 2. Suppose -4*h + 24 = -3*c, -2*h + 3 = 3*c - 9. What is o(c)? -2 Let q(z) = z**2 - 2*z + 4. Suppose -44*x + 327 = -56*x - 97*x. Give q(x). 19 Let z(k) be the second derivative of -k**5/20 + 2*k**2 - 2486*k. Calculate z(0). 4 Let i(u) = u**2 + 1. Let v(z) = 2*z**2 + z + 3. Let b(y) = -7*i(y) + 3*v(y). Suppose 11 - 2 = -3*s, -4*t + 115 = -s. Let p = 33 - t. Determine b(p). -8 Let i be ((-6)/5)/((-3)/120). Let b(c) = 53*c**3 - 13*c**
{ "pile_set_name": "DM Mathematics" }
47794. Let y = b + x. What is y rounded to 7 decimal places? 0.0000021 Let x = 14880275.400087 + -14880259. Let a = -16.4 + x. Round a to five decimal places. 0.00009 Let t(g) = -9*g + 29. Let w(k) = -10*k + 30. Let l(y) = y**2 + 7*y - 1. Let r be l(-8). Let q(i) = r*t(i) - 6*w(i). Let x be q(13). Round x to the nearest ten. -20 Let a = 459.637 + -0.637. Let w = -459.000129 + a. What is w rounded to four decimal places? -0.0001 Let u = -0.19957 + 0.37939. Round u to two dps. 0.18 Let f = 297.409 - 247.4024. Let q = -49.85 - 0.15. Let a = f + q. Round a to 3 decimal places. 0.007 Let y = 39152 + -39151.99979879. What is y rounded to six dps? 0.000201 Let t be 291970 + ((-1)/(-5)*0)/(6/6). What is t rounded to the nearest one thousand? 292000 Let n = -5.6 - -3.84. Let m = -8.44 + n. What is m rounded to zero decimal places? -10 Let c be (-73)/(1 - (-240)/(-244)). Let y be -5 + ((-6 - -3) + 8)*c. Round y to the nearest one thousand. -22000 Let p = -89.997647 - -90. Round p to 4 decimal places. 0.0024 Let p = -0.58 - 43.42. Let r = 1276976.8 - 1277020.799986. Let b = r - p. Round b to 5 decimal places. 0.00001 Let a = 15006359 - -5549641. What is a rounded to the nearest one hundred thousand? 20600000 Let b = 7467212.5330760081 + 4255280459.4669142919. Let c = b + -4262747852. Let j = -180 - c. Round j to 6 decimal places. 0.00001 Suppose -201319 = -f + l, 3*l - 1 = -7. Suppose 319 = 8*o + 303. Suppose r = 4*p - 195996, 3*p - o*r = -54325 + f. Round p to the nearest 10000. 50000 Suppose 5*c + 22 = -4*j, -25 = 5*j + 3*c + 9. Suppose 36*b - 42*b = -12. Let g be 6632/32 + b/j. Round g to the nearest 10. 210 Suppose -10*p = -12*p. Let n = p - 14. Let c be 108/378 - ((-104999990)/n - -1). Round c to the nearest 1000000. -8000000 Let x be -80*(((-408522)/(-8))/(-3) - (-2 + 4)). What is x rounded to the nearest one hundred thousand? 1400000 Let q = -1201680.58009 - -1201121.41. Let y = q - -559.2. Round y to two dps. 0.03 Let t(l) = -517272*l + 8. Suppose 0 = -5*u + 3*r - 13, 3*u - 5*r + 1 = -10. Let d be (-6)/(u + 14)*22. Let i be t(d). Round i to the nearest one million. 6000000 Let q = -12031.51 + 11664. Let j = q + 364. What is j rounded to one decimal place? -3.5 Suppose 20*l - 44*l - 100281600 = 0. What is l rounded to the nearest one hundred thousand? -4200000 Let s(n) = -295*n - 1. Let r be s(5). Let b = r - 1894. Round b to the nearest one hundred. -3400 Suppose 289*y - 38*y = -1935712000. Round y to the nearest one million. -8000000 Let r = -209.82436 + 209.9. What is r rounded to 3 decimal places? 0.076 Let x = 2011.7 - 2011.34758. Let d = -0.349 + x. What is d rounded to four decimal places? 0.0034 Let n = 12887 - 12876.363. Round n to one decimal place. 10.6 Suppose -z + 32 = -5*z. Let a be (6/z)/((-3)/(-14))*1780. Round a to the nearest 1000. -6000 Suppose 0 = -3*b + v - 8765, 0 = 3*b + 2*b + 3*v + 14613. Let z = 4425 + b. What is z rounded to the nearest 100? 1500 Suppose 5542 = 2*n + 2*m, -5*n - 2*m = -4*n - 2774. Let t = 5388 - n. Suppose -2*b + t = -380. Round b to the nearest one thousand. 2000 Let c = 58697481.999979 + -58697337. Let y = 145 - c. What is y rounded to six decimal places? 0.000021 Let l = 1408 - 977. Let m = -430.9459 + l. Round m to 3 decimal places. 0.054 Let u = -7263 - -11814. Suppose -317751 = -9*x - u. What is x rounded to the nearest 1000? 35000 Let l = 1.55 - 77.05. Let t = l + 83. Let g = -8.52 + t. What is g rounded to 1 dp? -1 Let s be ((-9)/6 + 1)*-6. Suppose 0 = -s*g + 57153 + 81447. What is g rounded to the nearest 10000? 50000 Let d = -37 + 27.9. Let g = d + 5.42. What is g rounded to 1 decimal place? -3.7 Let h = -287 + -210. Let g = h + 497.753. Round g to 1 dp. 0.8 Let t = -7776 + 7769.8916. Round t to the nearest integer. -6 Let g(a) be the third derivative of -623*a**5/12 + 7*a**4/8 - 7*a**3 - 16*a**2. Let d be g(2). Round d to the nearest one thousand. -12000 Let p = 2041 - -437. Suppose 2*x = -4*l + 4588, -3*l + x = -881 - 2565. Let c = p - l. What is c rounded to the nearest 100? 1300 Let g(a) = 1799*a**3 - 26*a**2 - a + 58. Let m be g(6). Round m to the nearest ten thousand. 390000 Let q = 29571 - 29570.9931992. What is q rounded to five dps? 0.0068 Let v = -1065 + 1683. Let o = v + -611.82. What is o rounded to zero decimal places? 6 Let s(n) = -2*n**2 - 11*n - 19. Let h be s(-7). Let w be 12/5*h/(-16). Let z be (-32)/w*(-13125)/(-10). Round z to the nearest 1000. -7000 Let f = -130 + 130. Suppose f = -22*w + 1238 - 14438. What is w rounded to the nearest 1000? -1000 Suppose 0 = 71*h + 18*h + 29503500. What is h rounded to the nearest ten thousand? -330000 Let p = -95221661141.60005267 - -95221661772. Let u = p - 630.4. Round u to 6 decimal places. -0.000053 Suppose -507*f + 643282 = -470*f. What is f rounded to the nearest one hundred? 17400 Let y = -27435.55 + 26701. Round y to the nearest one hundred. -700 Let k = -75.314 + 11.944. Let j = -63 - k. Let i = 0.36988 - j. What is i rounded to 5 dps? -0.00012 Let l = -753.9143 + 754. Let n = l + 0.0712. What is n rounded to 3 decimal places? 0.157 Let k = 437.4001915 - 437.4. What is k rounded to 6 dps? 0.000192 Let q = 2143 + -2143.1791. Let j = 0.179101103 + q. What is j rounded to seven dps? 0.0000011 Let w = 174.9914 - 0.0914. Let a = w - 177.022. What is a rounded to 1 dp? -2.1 Let h = 7112.02511 - 7112. What is h rounded to 2 dps? 0.03 Let a = -2.82 - -0.42. Let t = 2.23 + a. Let u = t - -0.64. What is u rounded to one decimal place? 0.5 Let t = 1254229 + -1255795.799. Let c = -1566 - t. Round c to two decimal places. 0.8 Let z = -152.48025624 + 152.48. What is z rounded to six decimal places? -0.000256 Let b = -2612.1155 - -2611. What is b rounded to 1 dp? -1.1 Let c(a) = -1366*a**2 + 53*a - 175. Suppose -3*u + 3*k + 96 = 0, 3*u = -5*k - 0*k + 104. Let t be c(u). What is t rounded to the nearest 100000? -1500000 Let m = 33924 + -33923.999934396. What is m rounded to seven dps? 0.0000656 Let h = 299 + -301. Let z = h - -1.99989. Round z to 5 decimal places. -0.00011 Let w = -1652 - -1652.7698. Round w to one decimal place. 0.8 Let f = 25708.9 + -28319. Round f to the nearest 1000. -3000 Let j(s) = 32*s**2 + 3*s - 7. Let w be j(-5). Suppose 5*k + 97342 = -3*d + 270464, 5*k - 173126 = -4*d. Suppose -2*q + k + w = 0. Round q to the nearest 1000. 18000 Let y = 0.92633527 + 289.07342973. Let z = -290 + y. What is z rounded to four decimal places? -0.0002 Let l = -4.01907 + 3.7735. Round l to three decimal places. -0.246 Let b = -2.6179 + 2.2117. Round b to one dp. -0.4 Let g = -116360.334 + 116245. What is g rounded to the nearest 10? -120 Let v = 15.381 - 15.38125156. What is v rounded to 5 dps? -0.00025 Let t = -3321 + 3320.99995105. Round t to 5 dps. -0.00005 Let l = -0.37 + -2.83. Let m = l + 2.19. Let b = 1 + m. Round b to two decimal places. -0.01 Let t = 5180973605 + -5629069645.4. Let m = 448095983.40000186 + t. Let i = 57 + m. What is i rounded to 7 dps? 0.0000019 Suppose 45 = 2*c - 41. Suppose 0*j - j = 2*x + c, x = -j - 24. Let z be 10/95 + (-13850998)/x. Round z to the nearest one hundred thousand. 700000 Let t = -68 + 950. Let s = t + -881.99999127. Round s to six decimal places. 0.000009 Let g = -249.0006474 - -249. What is g rounded to five dps? -0.00065 Suppose 0 = -b - i - 1940121, 46*b - 4*i - 5820363 = 49*b. Suppose -2700605 = -3*o + 8*o. Let n = o - b. What is n rounded to the nearest one hundred thousand? 1400000 Let h(l) = -l + 8. Let t be h(8). Suppose -14*r + 19*r + 30 = t. Let g be (64/r)/((-1)/(2 + -227)). Round g to the nearest 1000. -2000 Let u = -7773937.9747 - -7774403. Let a = u - 465. Round a to 2 dps. 0.03 Suppose c = -2*i + 109256, -48*c + 50*c = 4*i - 218496. Round i to the nearest 10000. 50000 Let t = -299.471 + 14.561. Let u = -0.032 + 281.032. Let c = t + u. Round c to one dp. -3.9 Let u = 0.53136 + 3.27854. What is u rounded to 1 dp? 3.8 Let h = -22265.899864557 - -22265.9. Round h to 6 decimal places. 0.000135 Let p = -169573 - -169573.0000190453. What is p rounded to 7 decimal places? 0.000019 Let n = 131.14 + -141.757. What is n rounded to 0 dps? -11 Let z = 219 + -672. Let n = z - -453.0000042. Round n to 6 decimal places. 0.000004 Let p be (-1773504054)/72 + (-9)/(-12). What is p rounded to the ne
{ "pile_set_name": "DM Mathematics" }
*2 + 35*x - 191. Let n be p(-43). Suppose -9*y + n = -738. Is 99 a factor of y? True Let l be 371/9 - (3 + (-175)/63). Let i = 122 + l. Is i a multiple of 23? False Let b = 12034 + -7187. Does 55 divide b? False Let k = 12679 - 10479. Is k a multiple of 22? True Suppose 10*u - 5*u - 60 = 0. Suppose u*v - 904 = -172. Is v a multiple of 17? False Let t(r) = -7*r + 9 - 2*r - 7 - 12 + 97*r**2. Is 6 a factor of t(-1)? True Let y be -2*(-2 + (-5)/(-10)). Suppose y*k - 10*k = -1771. Is 49 a factor of k? False Suppose -3*q + 6*q - 17 = -l, 0 = 2*q + l - 12. Suppose 0 = 6*o + 7 + q. Let n(d) = -12*d - 1. Does 14 divide n(o)? False Let z(f) = 7*f - 11. Let c(b) = -7*b + 11. Let i(s) = 6*c(s) + 5*z(s). Let l(w) = 14*w - 21. Let r(d) = -11*i(d) - 6*l(d). Is r(-9) a multiple of 17? True Suppose -3*q + 173 = 4*h - 344, 2*q - 2*h = 326. Does 167 divide q? True Let w(j) = -j**3 + 21*j**2 + 51*j - 67. Suppose 0 = -10*g - 57 + 287. Is w(g) a multiple of 8? True Let k(f) = -f**3 + 7*f**2 - 7*f - 22. Let l be k(5). Let i(d) = -25*d + 83. Is 6 a factor of i(l)? True Is -8 + -1 + (4310 - 58) a multiple of 46? False Let t(z) = -714*z + 3747. Is 9 a factor of t(-41)? True Suppose -4*u + l = -6087, 769*u + 7615 = 774*u + 5*l. Does 9 divide u? False Let p = 3327 - 1181. Is 64 a factor of p? False Suppose -39 + 51 = 2*k. Let g be -20426*(-1)/k + (-6)/(-9). Suppose 11*z = g - 1425. Is z a multiple of 30? True Let d = -141 + 10. Let a = d - -185. Does 27 divide a? True Let i be ((-249)/4)/(135/(-2880)). Is 8 a factor of (-1)/((-2660)/i + 2)? False Let j = 263 + -263. Suppose j = -5*v - 2*c + 5639, 0 = -3*v + 7*v - c - 4519. Does 73 divide v? False Let q(k) = 182*k**3 + 9*k**2 + 21*k + 6. Is 16 a factor of q(6)? False Let q(u) = -4*u**3 - 11*u**2 - 7*u - 11. Let r = -234 + 229. Does 15 divide q(r)? False Suppose -4*p = 2 - 10. Suppose 7*v = p*h + 6*v - 220, -544 = -5*h + 4*v. Does 4 divide h? True Suppose p - 3*k + 1 = 0, 6*p - p - 5 = 5*k. Let f = -1036 + 1038. Suppose -2*q + f + 40 = p*g, g - 5*q = 3. Does 18 divide g? True Let l(d) = 11*d**2 - 59*d + 26. Let a be l(9). Suppose n = -5*t + 1199, -4*t = -4*n - 578 - a. Does 6 divide t? True Suppose 8928 = 3*r + 3*v, 4*r - 39*v + 34*v - 11931 = 0. Does 4 divide r? False Is (-2340)/((0 + 1)/(-3 - 2)) a multiple of 52? True Suppose -4*s = -4*k + 3*k + 175, -2*k + s + 315 = 0. Let w = 53 + k. Is 26 a factor of w? True Suppose x + 46 = -5*t, 5*t + 143 = -5*x + 9*t. Let f = x - -255. Does 21 divide f? False Let l be (3586/(-44))/(2/(-8)). Let k = l + -96. Is k a multiple of 23? True Let o be 18/5*430/3. Let v(s) = -s**2 - 9*s + 49. Let m be v(-12). Suppose -o = m*z - 1556. Is z a multiple of 6? False Let b = 189 + -184. Suppose -v = b*u - 563, 0*u + 2*u - 236 = 5*v. Does 6 divide u? False Suppose 33836 = 13*h + 24*h - 103804. Is h a multiple of 24? True Suppose -476229 + 3913509 = 124*a. Does 30 divide a? True Suppose 31*w - 403500 = 6*w. Does 60 divide w? True Is 73/657 + (-3616)/(-18) a multiple of 2? False Suppose -51*n = -71*n - 1140. Is 27 a factor of 36/(-8)*(-3 + n)? True Suppose 42 - 146 = 2*h - 3*s, -5*s - 118 = 3*h. Does 30 divide (-24321)/(-27) + -1 - h/207? True Suppose 0 = -4*g - 3*b + 44691, g + 395*b = 397*b + 11170. Does 28 divide g? True Let o = 18 + -41. Let g = o + 25. Suppose g*d - 112 = 154. Is 28 a factor of d? False Let b = 11927 - 9215. Is b a multiple of 24? True Let f(c) = 57*c + 69. Let y be f(11). Suppose 8*m - y = 528. Does 51 divide m? True Let n(c) = 12*c**3 - 5*c**2 - 10*c + 21. Is n(7) a multiple of 13? True Suppose -2350070 - 2029354 = -147*f. Does 14 divide f? True Let t(s) = 3*s**3 - 51*s**2 - 122*s - 32. Is t(23) a multiple of 128? False Let k(g) = -11*g - 13. Suppose 0 = -2*w - 5*f - 115, -w - 8 = -f + 32. Let o = 37 + w. Is k(o) a multiple of 25? True Let c be 30/25 - (-36)/(-30). Suppose c = -f - 5*y + 212 + 168, 5*f = -y + 1948. Does 6 divide f? True Let p = 176 - 171. Suppose 2*g = -z + 113, 5*z = p*g - 374 + 129. Is g a multiple of 3? True Let u = -147367 - -210214. Does 20 divide u? False Suppose 5*h = -3*p + 7*p - 65, -3*p + 45 = -3*h. Suppose -p*m = -452 + 12. Is 5 a factor of m? False Suppose 4*d = 2*o + 20768, -166*d = -169*d - o + 15591. Is 59 a factor of d? False Let a = 474 + 5756. Is a a multiple of 89? True Let j(h) = 127*h + 102. Let o be j(8). Suppose -6457 - o = -25*m. Is 71 a factor of m? False Suppose -59454*o - 117046 = -59456*o. Is 19 a factor of o? False Let g(y) = -y**3 + 21*y**2 + 24*y - 42. Let o be g(22). Let q(h) = 88*h**2 + 3*h + 46*h**o - 2 - 80*h**2 + 59*h**2. Is q(1) a multiple of 38? True Let u(a) = 10*a**2 - 26*a + 31. Let m be u(12). Suppose -4*j + m - 3583 = -5*b, 485 = b - j. Is 44 a factor of b? True Is 120 a factor of ((-594076)/(-5) + 7/(-35))*(-28)/(-84)? False Let w = 72596 - 46290. Is 14 a factor of w? True Let i(k) be the second derivative of k**5/20 - 5*k**4/2 - k**3/3 + 62*k**2 + 22*k. Is 32 a factor of i(30)? True Suppose -1650*s = -1654*s - 3*b + 80372, s - 4*b = 20074. Is s a multiple of 10? True Suppose 0 = 3*o - 5*v + 1, -3*o - 13 = -5*v + 3*v. Let a = o - -11. Suppose 0 = 6*n - 2*n - 5*m - 228, -a*m = 4*n - 264. Does 31 divide n? True Let b(u) = 50 + 0*u - 2*u - 52. Let i be b(-7). Does 14 divide ((-21)/i)/(1/(-72))? True Let g = 14889 - -2501. Does 154 divide g? False Let t(v) = 3*v**3 + 2*v**2 + 7. Let f be t(-3). Let k = -64 - f. Is k/6*3*-2*1 a multiple of 2? True Suppose 49*q + 20856 = 21*q + 30*q. Is q a multiple of 33? True Suppose 55*w + 2132 = 32162. Is w a multiple of 13? True Let i = -190 + 193. Let q(b) = 6*b**3 + b**2 - 6. Does 11 divide q(i)? True Suppose t - 7 + 5 = 0. Suppose -2273 + 179 = -t*v. Is 6 a factor of 2 + (v/12 - 3/(-4))? True Suppose -12*b + 8*b = -12. Let d(j) = j**b - 9 + 8 + j + 3*j**2 + 6*j**2. Is 11 a factor of d(-8)? True Suppose -4*r = -34*y + 41*y - 70158, 4*y - 87669 = -5*r. Does 199 divide r? False Let m be (-9)/(162/(-4)) + 569/(-9). Let g = m + 75. Suppose 432 = 16*x - g*x. Does 18 divide x? True Let l be 6 + (64/(-34) - (-2)/(-17)). Let k = 26 + l. Suppose -23 = -4*j - 5*u + 1, 5*j - 2*u - k = 0. Is j a multiple of 2? True Suppose 3*t = -t - 12, 2*t = 5*a - 266. Let o be 28 - ((-41)/(-13) + (-8)/a). Suppose 0 = 4*k - 9*k + o. Is 3 a factor of k? False Let v = -37 + 39. Suppose -2 = -v*y + 2. Let z = 86 - y. Does 14 divide z? True Let w(g) = 517*g**2 + 71*g + 216. Is w(-3) a multiple of 16? True Let z = 56 - 51. Is (-5 + 21/z)/((-2)/1295) a multiple of 16? False Let x(p) = -33*p + 16. Suppose -2*f - 3 - 5 = 0. Let m be x(f). Is 20 a factor of (m/(-3) + 1)*(-30 + 27)? False Suppose -4*w - 2*w = -642. Let x = w + -71. Is x a multiple of 9? True Is 97940/10 + (3/1 - 12) a multiple of 100? False Suppose 3*t - 28 = -0*s - 2*s, -10 = -2*t + 3*s. Suppose 3*v + 323 = 4*v. Suppose -t*w = -835 + v. Is w a multiple of 8? True Let b(s) = -s**2 - 5*s - 2. Let n be b(-6). Let d be ((-183)/2)/(n/(-32)). Is 6/24 + d/(-8) a multiple of 23? True Let u(r) = 56*r**3 + 3*r**2 - 2*r + 7. Let w be u(-5). Let y = -11665 + 11671. Is w/(-33) + 4/y a multiple of 20? False Suppose 0 = 16*q - 6698 - 12982. Does 15 divide q? True Suppose -2*h + 0*h + 2 = 0, -5*u + 3*h + 12092 = 0. Let f be 6/24 + u/4. Is 10 a factor of f/20 - 1/4? True Suppose -6*r + 29252 + 22270 = 0. Is 18 a factor of r? False Let o = -3389 + 3738. Is 2 a factor of o? False Suppose 5*z - 7 - 13 = 0, 0 = h + 2*z - 13. Suppose 5*c = h*w - 295, -5*w + 3*c = -243 - 54. Is w a multiple of 10? True Let a(j) = -3*j - 78. Let n be 12/(10/6 + -4 + 2). Is a(n) a multiple of 3? True Let q = -1883 + 9449. Is q a multiple of 78? True Let v = -330 - -230. Let x = 130 + v. Is (-7000)/16*3/(x/(-8)) a multiple of 14? True Let j(l) = -27*l - 11*l - 4*l + 9. Let x be j(4). Let h = 255 + x. Is 16 a factor of h? True Suppose -5*d = 2*k + k + 7, 4*d = -k. Does 6 divide (-4)/(-4)*k + 193 + 2? False Suppose 26 = -3*w - m, -m = 5*w + m + 42. Let g be (0/2 + w)/((-3)/18). Let v = g + -8. Is v a multiple of 5? False Let o be (4 + 0)*23835/84. Suppose -10*s - 155 = -o. Is 14 a factor of s? True Let l be 2205 - (-4 + (-3 - (-6 - -2))). Suppose 0 = 3*u - 3*j - l, 5*j = -3*u + 1635 + 613. Suppose u = 2*s + 53. Does 41 divide s? False Suppose 0*f = f + 26. Let i = 30 + f. Suppose i*q - 32
{ "pile_set_name": "DM Mathematics" }
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40038864 What comes next: -157, -27, 89, 191, 279, 353, 413? 459 What is the next term in 332359, 664698, 997029, 1329352, 1661667, 1993974, 2326273? 2658564 What is the next term in 3187, 2996, 2805, 2614? 2423 What comes next: -122096416, -244192823, -366289230, -488385637, -610482044? -732578451 What comes next: -8059, -15920, -23593, -31078, -38375, -45484? -52405 What comes next: 66243, 66397, 66815, 67629, 68971, 70973, 73767? 77485 What comes next: -50580, -50648, -50712, -50772, -50828? -50880 What comes next: 1043, 3242, 6595, 11096, 16739, 23518? 31427 What is the next term in -452, -292, -102, 118, 368? 648 What is the next term in 175, 940, 2621, 5548, 10051? 16460 What is the next term in 4056, 8181, 12306, 16431, 20556? 24681 What is the next term in -81008, -80981, -80944, -80897, -80840, -80773? -80696 What comes next: -73030, -153055, -233080? -313105 What is next in -47971, -48025, -48185, -48481, -48943, -49601, -50485, -51625? -53051 What is next in 595288, 1190498, 1785724, 2380966, 2976224, 3571498? 4166788 What is the next term in -1000, -6031, -19744, -46489, -90616, -156475? -248416 What is next in 241, 352, 447, 514, 541, 516, 427? 262 What is the next term in 5854, 9542, 13230, 16918, 20606? 24294 What is the next term in 31590846, 63181692, 94772538, 126363384? 157954230 What is next in 2468, -6792, -16052, -25312, -34572? -43832 What is next in -353499, -352390, -349375, -343500, -333811, -319354, -299175, -272320? -237835 What comes next: 8906576, 17813193, 26719810, 35626427? 44533044 What is the next term in 266, -13302, -40694, -81916, -136974, -205874, -288622, -385224? -495686 What is next in 3501, 4763, 6867, 9813? 13601 What comes next: -2012436, -4024701, -6036966, -8049231? -10061496 What comes next: -244042, -488095, -732142, -976183, -1220218, -1464247, -1708270? -1952287 What is the next term in -30032, -30102, -30172, -30242? -30312 What is the next term in -2642, -2847, -2812, -2417, -1542, -67, 2128? 5163 What comes next: 13111, 52483, 118105, 209977? 328099 What comes next: -1024174, -1022996, -1021032, -1018282, -1014746, -1010424, -1005316? -999422 What comes next: 91628, 733079, 2474152, 5864657, 11454404, 19793203, 31430864, 46917197? 66802012 What is next in -105678, -209754, -313830? -417906 What comes next: -2639, -8936, -19439, -34148, -53063? -76184 What comes next: -112, -684, -2198, -5128, -9948, -17132, -27154? -40488 What comes next: 41058925, 41058906, 41058887, 41058868, 41058849? 41058830 What is the next term in -15378408, -30756785, -46135174, -61513581, -76892012, -92270473? -107648970 What is the next term in 428584, 428605, 428626? 428647 What comes next: -57432, -58321, -59172, -59973, -60712, -61377, -61956? -62437 What is next in 2206, 6147, 10090, 14035? 17982 What is the next term in -2449, -17740, -57725, -134266, -259225, -444464? -701845 What is next in 47941, 192091, 432329, 768649, 1201045, 1729511, 2354041, 3074629? 3891269 What comes next: 58492, 58682, 58872, 59062, 59252, 59442? 59632 What is the next term in -4684, -20645, -47870, -86359, -136112, -197129, -269410? -352955 What is next in 9178, 35385, 79058, 140191, 218778, 314813, 428290? 559203 What comes next: -44272, -177171, -398680, -708805, -1107552? -1594927 What is next in 22051, 44445, 66841, 89239, 111639? 134041 What is the next term in -3911, -5732, -5463, -3110, 1321, 7824, 16393, 27022? 39705 What comes next: -1381, -2601, -3821, -5041, -6261, -7481? -8701 What is next in -661, -1448, -2251, -3052, -3833, -4576, -5263, -5876? -6397 What is the next term in 1115, 8528, 28479, 67238, 131075, 226260, 359063? 535754 What is next in 1737222, 1737220, 1737218? 1737216 What is next in 3699642, 7399257, 11098872, 14798487, 18498102? 22197717 What comes next: 920, 316, -658, -1996, -3692, -5740, -8134, -10868? -13936 What comes next: 12429, 51340, 116187, 206970, 323689? 466344 What is the next term in -9335, -16706, -28997, -46214, -68363, -95450? -127481 What is the next term in 63413, 126763, 190051, 253277, 316441, 379543, 442583? 505561 What comes next: 466806, 467127, 467448? 467769 What is the next term in -24832741, -49665501, -74498261, -99331021, -124163781? -148996541 What comes next: -1407, -3111, -5461, -8781, -13395? -19627 What is the next term in -88374, -353490, -795342, -1413930? -2209254 What is next in 28697, 230180, 777069, 1842068, 3597881, 6217212, 9872765? 14737244 What is the next term in 1064, 4670, 14424, 33404, 64688, 111354? 176480 What comes next: -174111, -696528, -1567253, -2786286, -4353627, -6269276? -8533233 What is the next term in 4447, 9054, 13647, 18220, 22767, 27282, 31759, 36192? 40575 What is the next term in 3532, 8161, 13886, 20713, 28648, 37697? 47866 What comes next: -1603, -1487, -1283, -991, -611, -143, 413? 1057 What is next in -3752163, -3752156, -3752149, -3752142? -3752135 What is next in 31662, 63542, 95418, 127290, 159158, 191022, 222882? 254738 What is next in 98754, 100044, 101332, 102618, 103902, 105184? 106464 What is the next term in 128, 469, 990, 1691, 2572, 3633? 4874 What is next in 5728071, 22912272, 51552615, 91649106, 143201751, 206210556, 280675527, 366596670? 463973991 What is next in 9163, 36722, 82649, 146938, 229583? 330578 What is next in -2472472, -4944942, -7417412, -9889882, -12362352, -14834822? -17307292 What is next in 1635931, 3271874, 4907825, 6543784, 8179751? 9815726 What is the next term in 68123, 129299, 190475? 251651 What comes next: 10671, 21356, 32053, 42756, 53459, 64156, 74841? 85508 What is next in 3711, 3680, 3675, 3708, 3791, 3936, 4155, 4460? 4863 What is next in -24832, -99360, -223624, -397666, -621528, -895252, -1218880, -1592454? -2016016 What is next in 1120, 2211, 3288, 4351, 5400? 6435 What is next in 28626, 28615, 28566, 28461, 28282, 28011, 27630, 27121? 26466 What is next in 601546, 1203080, 1804606, 2406124, 3007634, 3609136, 4210630? 4812116 What is the next term in -10125, -17913, -25701, -33489, -41277? -49065 What is the next term in -24775, -49514, -74221, -98896? -123539 What is next in -260335, -1041421, -2343229, -4165759, -6509011, -9372985, -12757681? -16663099 What is the next term in -1764, -3424, -5086, -6750, -8416, -10084, -11754? -13426 What is next in 31486, 47483, 63480, 79477, 95474? 111471 What comes next: 11675, 45966, 102901, 182486, 284727? 409630 What is the next term in 107968, 431833, 971608, 1727293, 2698888? 3886393 What is the next term in -6229626, -12459252, -18688876, -24918498, -31148118? -37377736 What is next in -21690, -173404, -585158, -1386960, -2708818? -4680740 What is next in -3717, -15213, -34341, -61101, -95493, -137517? -187173 What is the next term in -6546, -6549, -6600, -6729, -6966? -7341 What is next in 6560, 12969, 19488, 26117, 32856, 39705? 46664 What is the next term in 2240, 3507, 5608, 8543? 12312 What is the next term in -578, -1654, -3210, -5264, -7834, -10938, -14594, -18820? -23634 What comes next: -14551397, -14551392, -14551385, -14551376, -14551365, -14551352? -14551337 What comes next: 4905, 6517, 8129? 9741 What is the next term in -1223, -5205, -15951, -36839, -71247, -122553, -194135, -289371? -4
{ "pile_set_name": "DM Mathematics" }
= p - u. What is the units digit of l? 7 Suppose 5*a = -z - 1418 + 6491, 5*a = -3*z + 15189. What is the tens digit of z? 5 Let h(a) = 38*a - 56. What is the units digit of h(13)? 8 Suppose 10 = 3*j + 2*b, 5*b - 15 = -5*j - 0. Suppose 4*d - 11 = g, -j*g + 30 = 10. Suppose -v = 3*v - d. What is the units digit of v? 1 Suppose 0*b + 4*d - 677 = -b, 1336 = 2*b + 2*d. Suppose a = -6*a + b. What is the tens digit of a? 9 Let w = 4 + 0. Let p be 0*(w - 3)*-1. Suppose p = -2*j + j + 5. What is the units digit of j? 5 Let a = 2015 - 1499. What is the units digit of a? 6 Let v(d) = -d**3 + 10*d**2 + 4*d - 13. Let s be v(10). Suppose -s = -5*a + 8*a. What is the units digit of (-65)/a - (-24)/(-108)? 7 Let a(z) = 2*z**2 - 15*z + 52. What is the units digit of a(6)? 4 Let w = 5 - 8. Let o(p) = 10*p**2 - p + 4. What is the units digit of o(w)? 7 Let j = -129 + 41. Let w = j + 123. What is the units digit of w? 5 Let x(m) = m**2 + m + m - 10*m - 10. Let i(u) = -4*u + 46. Let a be i(9). What is the tens digit of x(a)? 1 Let d(m) = -3*m**2 + 12*m - 7. Let a(t) = -16*t**2 + 60*t - 35. Let x(o) = 2*a(o) - 11*d(o). What is the units digit of x(16)? 1 Let z = 142 + 1851. What is the tens digit of z? 9 Let o = -10 + -4. Let k be ((-2)/4)/((-1)/30). Let x = o + k. What is the units digit of x? 1 Let q(g) = -5*g**3 + 1. Let j = -1 - -1. Suppose -n - 5 + 4 = j. What is the units digit of q(n)? 6 What is the tens digit of (-208)/260*(-745)/4? 4 Let d(n) = -53 - 4*n + 3*n - 2*n + 48. Let h = 1 + -4. What is the units digit of d(h)? 4 Let p be 2*(4/10 - (-310)/(-25)). What is the units digit of ((-12)/p)/(2/476)? 9 Let m = 23 - 20. What is the tens digit of m*-1*(-261)/27? 2 Suppose -66*u + 224 = -85048. What is the thousands digit of u? 1 Let r(u) be the third derivative of u**4/8 + 4*u**3/3 - 2*u**2 + 90*u. Suppose -4*n + 4 = -3*n. What is the tens digit of r(n)? 2 Suppose t + 6*t - 3822 = 0. What is the hundreds digit of t? 5 Let l = -4 - -9. Suppose -3*d + 3 = 2*p, -l*d = -5*p - 7 + 2. Suppose p = -2*z + 5*z - 9. What is the units digit of z? 3 Suppose 0 = -2*x + 5 + 3. Suppose 4*b - t + 0*t + 6 = 0, 12 = -x*b + 4*t. What is the tens digit of 11 + b/(-3)*3? 1 Suppose -8 = 4*u + 4*w, -3*w = 2*u + w + 12. Let z = 12 - u. Let l = z + 6. What is the units digit of l? 6 Let b(k) = -148*k + 483. What is the hundreds digit of b(-3)? 9 Let y = -12151 - -17050. What is the tens digit of y? 9 Suppose 3*h + 199 = -2*c, -2*c - 2*h - 296 = c. What is the tens digit of (-15 + 20)*c/(-10)? 4 Let k(s) = -s**2 - 3*s + 2. Let p be k(-4). Let y be p/(-14) - 1004/(-28). Let o = -12 + y. What is the units digit of o? 4 Let b = 6 - 1. Let x(l) = 3*l + 17. Let n be x(8). Suppose -11 = b*r - n. What is the units digit of r? 6 Let j = 1121 - 65. What is the tens digit of j? 5 Let k be 274/10 - 2/5. Suppose 0 = -2*r + 3*y - 8, 5*y = -4*r + 8 - 2. Let g = r + k. What is the tens digit of g? 2 Let u(f) = -f**3 + 4*f**2 - 4*f + 5. Let n be u(3). Suppose 3*x + 108 = 2*m, 3*m + n*m - x - 257 = 0. What is the tens digit of m? 5 Let t = -4 + 7. Suppose 5*h = 3*y - 136, -t*y = -5*y + 4*h + 94. Let u = y - 23. What is the units digit of u? 4 Let a be ((-5)/2 - -1)*-2. Suppose 0 = a*l + h - 22, -5*l + 18 = -2*l - 3*h. Suppose -p - 2*b = -20, 4*b = 2*p - 65 - l. What is the units digit of p? 8 Suppose -4*o = -3 - 1. Let n be 18/(3 + o + -3). Let i = 25 - n. What is the units digit of i? 7 Let k(r) = 10*r**2 + 4*r - 2. Let a be k(3). Suppose 0 = -n + a - 41. What is the units digit of n? 9 Suppose 0 = 3*y - y - 2988. What is the units digit of ((-2)/(-3))/(12/y)? 3 Let f(q) = 35*q - 268. What is the units digit of f(21)? 7 Suppose -23*q + 15576 = 10*q. What is the hundreds digit of q? 4 Let v = 13 - -38. Suppose f = -3*m + v, -3*m + 40 + 89 = 3*f. What is the units digit of f? 9 Let k = -8 + 10. Let h(t) = -3*t**3 + 6*t - 10*t**k + 1 - 4*t + 11*t**2. What is the units digit of h(-1)? 3 Let a be (-3)/(((-27)/(-699))/(-3)). Suppose -a - 348 = -7*p. What is the units digit of p? 3 Suppose 560 - 4055 = -5*n. What is the tens digit of n? 9 Let v(u) = 50*u**2 - 12*u + 101. What is the thousands digit of v(-8)? 3 Let r(a) = -61*a - 1. Let n be r(16). What is the units digit of n/(-3) - (-8 + -1)/27? 6 Let z(y) = 2*y - 7. Let i be z(5). Suppose i*a + 22 = 334. Suppose 2*u + 18 - a = 0. What is the tens digit of u? 4 Let l(o) = 402*o + 218. What is the tens digit of l(4)? 2 Let j(g) = -13*g**3 - 2*g**2 + 4*g + 4. What is the hundreds digit of j(-3)? 3 Suppose 250 = 5*z - 5*r, 0 = 3*z + 4*r - 5*r - 158. What is the units digit of z? 4 Suppose 7*a - 687 - 3156 = 0. What is the units digit of a? 9 Let f be 3 - 1 - (-1 - 1). Suppose -f*w + 1 = 2*u - u, 2*w = 3*u - 3. Suppose -20 = -j - 2*x, w = -0*j + 2*j - x - 40. What is the tens digit of j? 2 Let w(i) = -i**2 - i + 4. Let r be w(0). Suppose 4*c - 66 = d + 12, r*c - 2*d - 76 = 0. What is the tens digit of c? 2 Let f = 1741 - -1376. What is the units digit of f? 7 Let n(s) = -s**3 - 5*s**2 - s + 1. Let b be n(-4). Let i be (-1153)/b - 4/(-22). Suppose 4*m + m - i = 0. What is the units digit of m? 1 Suppose -4*f = -3*f + 4*t + 9, 3*f - 3*t - 18 = 0. Suppose -79 = -4*r - 4*v + 77, 2*v = f*r - 132. What is the tens digit of r? 4 Let k(q) = -720 - 13*q**2 - q + 724 - q**3 + 0*q. Let b be (5/(-10))/((-1)/(-26)). What is the units digit of k(b)? 7 Let g be 0/(-3 + -4 + 5). Suppose g = -11*d + 12*d - 210. What is the tens digit of d? 1 Let n = 102 + -126. What is the units digit of (1 - -2)*(-1288)/n? 1 Suppose 0 = -3*w + 4*w - 5. Let v be 11/w - 2/10. Suppose 0 = 3*b + v*b - 60. What is the units digit of b? 2 Let r be 28/36 - 1 - (-182)/9. Suppose 21*w - r*w - 186 = 0. What is the hundreds digit of w? 1 Let s = -6699 + 12556. What is the thousands digit of s? 5 Let u = 102 - 100. Suppose -u*r = -573 + 121. What is the tens digit of r? 2 Let n(k) be the first derivative of k**6/72 + k**5/120 - k**4/12 + 4*k**3/3 - 1. Let l(u) be the third derivative of n(u). What is the tens digit of l(-3)? 4 Suppose -9 = -6*p + 3*p. Suppose 6 = 3*m - 48. Suppose b - m = -p. What is the units digit of b? 5 Let k be (0*4/(-12))/2. Suppose -2*c + 18 + 46 = k. What is the units digit of c? 2 Let x = -102 + 72. Let k = x + 70. What is the units digit of k? 0 Let w(s) = s - 4. Let l be w(7). Suppose -12 = -5*d + l. Suppose -5*o - d + 13 = 0. What is the units digit of o? 2 Let a(m) = -m**3 + 6*m**2 + 7*m - 3. Let w be 6 + (0 - -4)/4. Let y be a(w). Let v = 5 + y. What is the units digit of v? 2 Let c(o) = o**3 - 3*o**2 - 4*o + 3. Suppose 2*x - 3 + 7 = 0, -s + 2*x + 8 = 0. Let m be c(s). What is the units digit of m*88/12 + 1? 3 Suppose 0 = -y + 2*j + 10, j = 4*y - 4*j - 28. Let k(d) = -d**2 + 3*d + 7. Let l be k(5). What is the units digit of y + 24 + 1 + l? 4 What is the tens digit of (-1)/(-11) + 85148/154? 5 Let l be ((-2)/(-4))/((-3)/30). What is the units digit of l/(-15) - 3/((-9)/101)? 4 Let a = 18 + -20. What is the hundreds digit of a/(-15)*-51*-30 + -1? 2 Let t = -100 + 152. Suppose 3*m - t = -5*a + 104, -2*m = 3*a - 105. Suppose -g + m = 2*g + 4*q, 3*q = 3*g - 78. What is the tens digit of g? 2 Suppose -3 = 4*h + 5*m, -6 = 2*h + m - 3. What is the hundreds digit of h - -127 - (2 - 6)? 1 Let n be 40/(-10) - (1*455)/(-1). Suppose 10*b - 29 - n = 0. What is the tens digit of b? 4 Let u = -6130 - -10960. What is the units digit of u? 0 What is the tens digit of (-6929)/(-13) + 2 + (2 - 0)? 3 Suppose 3*q + 3*w = 10 - 4, -4*w + 2 = 2*q. Suppose -c - q*c + 16 = 5*l, 12 = 3*c - 5*l. What is the units digit of (-42)/(-7) + c + -1? 9 Suppose -3*u = 2*u - 270. Suppose -58 = 2*y + 16. Let h = u + y. What is the tens digit of h? 1 Suppose 7*d - 2*d = 30. Let v(s) = s**3 - 6*s**2 + 4*s + 8. What is the tens digit of v(d)? 3 What is the units digit of -3 - (-31)/11 - (-3744)/22? 0 Let u = 2656 - 1764. What is the tens digit of u? 9 Let a = -28 + 31. Suppose 3*h - 2*s = 87, 2*h - 132 = -a*h - s. What is the units digit of h? 7 Let f(t) = -t**3 + 5*t**2 - 33*t - 19. What is the units digit of f(-7)? 0 Let a = 1000 - -1154. What is the thousands digit of a? 2 Suppose z + 14 = s - 0, -5*s + 3*z = -76. Let g = -18 + s. What is the units digit of (0 - -6)*g/(-2)? 3 Let d be (-4)/6*246/(-2). Sup
{ "pile_set_name": "DM Mathematics" }
). -224 Let u(x) = -7*x**2 - 1478*x + 9687. Determine u(-218). -777 Let x(z) = -z**3 + 71*z**2 - 9*z - 18. Give x(0). -18 Let s(y) = 5*y**2 + 51*y + 146. What is s(-23)? 1618 Let t(y) = 74*y**2 + 4662*y - 550. Determine t(-63). -550 Let l(u) = 975*u**2 + 49703*u - 1114. Calculate l(-51). 8 Let d(n) = -n**2 - 44*n + 119180. Determine d(-368). -52 Let i(j) = -413*j + 19916. Give i(48). 92 Let j(m) = -96*m**3 + 2399*m**2 + 17*m + 108. Determine j(25). -92 Let r(t) = -14405*t - 216075. What is r(-15)? 0 Let l(b) = b**3 - 6*b**2 + 3599*b - 14367. Give l(4). -3 Let u(t) = -t**2 - 971*t - 231273. Give u(-552). 15 Let d(b) = 27*b**2 - 1933*b - 564. What is d(72)? 228 Let r(l) = -1131*l + 33001. Give r(29). 202 Let l(p) = p**3 - 2*p**2 + 11*p - 4. Determine l(-3). -82 Let d(h) = -6*h**3 + 439*h**2 - 2817*h - 1357. Determine d(66). 29 Let j(f) = f**3 + 15*f**2 - 1788*f - 28290. Give j(-16). 62 Let j(y) = -274*y**3 + 10*y**2 + 7*y + 3. What is j(-1)? 280 Let f(c) = -631*c + 58708. What is f(93)? 25 Let g(i) = -1164*i - 18823. Calculate g(-16). -199 Let j(d) = -1065*d - 38140. Give j(-35). -865 Let k(z) = -172*z - 49185. What is k(-286)? 7 Let g(o) = o**3 - 34*o**2 - 1406*o - 10021. Calculate g(-11). 0 Let d(y) = 487667*y + 487657. Give d(-1). -10 Let r(s) = -10*s**2 + 42*s + 201. Give r(-7). -583 Let w(a) = a**3 - 20*a**2 + 32*a - 2306. Determine w(23). 17 Let g(n) = -1211*n**2 - 7*n - 9. Determine g(-1). -1213 Let h(i) = -7*i**2 - 30*i + 649. Give h(8). -39 Let z(p) = 2*p**3 - p**2 - 3317*p + 6650. Determine z(2). 28 Let h(f) = -2*f**3 + 62*f**2 + 7356*f + 1135. Give h(-47). 7 Let o(b) = -6521*b - 20015. What is o(-3)? -452 Let h(f) = -f**2 - 11740*f - 502960. Give h(-43). 11 Let k(v) = 1051*v**2 - 10390*v - 1195. Calculate k(10). 5 Let s(j) = 168544*j - 3033790. Calculate s(18). 2 Let t(l) = l**2 + 196*l - 15318. Give t(60). 42 Let r(c) = c**2 + 598*c - 21194. Determine r(33). -371 Let c(j) = -3*j**2 - 85849*j + 12858105. Determine c(149). 1 Let r(z) = 2*z**3 - 28*z**2 + 22*z - 295. Give r(19). 3733 Let g(s) = -s**3 - 140*s**2 - 2686*s - 287. Give g(-117). -872 Let f(a) = a**3 - 26*a**2 - 89*a + 244. Give f(24). -3044 Let h(i) = -20*i**2 + 182*i - 1637. Determine h(12). -2333 Let x(m) = -5*m**3 + 145*m**2 - 1018*m + 69. Determine x(16). 421 Let m(g) = -5020*g - 351383. Give m(-70). 17 Let c(k) = -k**3 - 6*k**2 + 9302*k + 55809. What is c(-6)? -3 Let v(b) = -12*b**3 + 1043*b**2 - 10018*b - 29. Calculate v(11). 4 Let x(b) = -38724*b - 193633. Determine x(-5). -13 Let x(i) = -4*i**3 - 20*i**2 + 370*i + 2260. Give x(-6). 184 Let w(r) = r**3 + 66*r**2 + 539*r - 740. Determine w(-56). 436 Let u(w) = -2032*w - 46730. Calculate u(-23). 6 Let u(z) = 3*z**3 + 202*z**2 + 474*z + 1252. Determine u(-65). 17 Let l(n) = -241*n - 9451. What is l(-35)? -1016 Let h(y) = -y**3 + 40*y**2 - 94*y + 2166. Give h(37). 2795 Let q(o) = -7*o**2 - 743*o - 9401. Give q(-14). -371 Let m(k) = -9*k**2 + 329*k + 365231. Determine m(-184). -9 Let w(y) = 40761*y + 3260878. Determine w(-80). -2 Let g(v) = -218450*v - 2403033. Calculate g(-11). -83 Let s(j) = 6022*j + 295052. What is s(-49)? -26 Let w(q) = -q**3 + 6*q**2 + 63*q - 280. Determine w(12). -388 Let n(q) = -7*q**2 + 609*q - 4203. Give n(7). -283 Let k(r) = 101*r**2 + 787*r + 1485. Give k(-3). 33 Let k(l) = 7*l**2 - 157*l - 1644. Determine k(-7). -202 Let d(i) = 1379*i + 45431. Determine d(-33). -76 Let k(t) = 31*t + 5146. Give k(-156). 310 Let p(v) = -136*v**2 + 7018*v - 35060. Give p(5). -3370 Let a(s) = -s**2 + 5*s + 498. What is a(40)? -902 Let i(k) = 2*k**2 - 473*k + 136. Calculate i(0). 136 Let z(r) = -r**3 - 173*r**2 + 706*r - 233. Determine z(-177). 121 Let f(n) = -88158*n - 442418. Give f(-5). -1628 Let q(o) = -11572*o + 80952. Calculate q(7). -52 Let o(q) = q**3 - 7*q**2 + 164*q - 1844. What is o(10)? 96 Let p(c) = -2*c**2 - 2470*c + 131126. What is p(51)? -46 Let w(i) = 279*i - 2983. What is w(7)? -1030 Let n(k) = 3*k**2 - 15205*k + 767660. Calculate n(51). 8 Let d(h) = 477*h + 26372. Calculate d(-55). 137 Let v(o) = 84220*o + 252684. Calculate v(-3). 24 Let h(q) = 17*q**2 - 496*q - 1456. Give h(-3). 185 Let h(o) = 945*o - 129306. Determine h(136). -786 Let l(f) = -f**3 - 163*f**2 + 1733*f + 449. What is l(-173)? -70 Let g(s) = 7*s**3 - 461*s**2 + 368*s + 143. What is g(65)? -1287 Let j(a) = 486*a + 6790. Calculate j(-14). -14 Let j(y) = 14252*y + 755378. Determine j(-53). 22 Let j(l) = 29*l**2 + 156*l - 117. Calculate j(-6). -9 Let v(r) = -1026*r + 487250. Calculate v(475). -100 Let p(d) = -2*d**2 + 5967*d + 77724. Give p(-13). -185 Let f(i) = 65077*i + 3384001. Calculate f(-52). -3 Let u(p) = p**3 - 239*p**2 + 1402*p + 9. Determine u(6). 33 Let v(t) = -t**2 - 63124*t + 631363. Give v(10). 23 Let a(t) = 56407*t - 5527896. Determine a(98). -10 Let n(i) = 2*i**3 - 5*i**2 + 25*i - 522. Calculate n(8). 382 Let h(x) = -x**3 + 16*x**2 + 407*x + 886. Give h(-11). -324 Let g(p) = -2*p**3 + 46*p**2 - 216*p + 85. What is g(17)? -119 Let z(u) = 8*u**3 + 4*u**2 + 140*u - 147. Determine z(1). 5 Let k(p) = p**2 + 76*p - 10592. Calculate k(-151). 733 Let r(m) = -m**3 + 2*m**2 + 564*m - 1685. Determine r(3). -2 Let c(p) = -7*p**2 + 12880*p - 38616. What is c(3)? -39 Let f(k) = k**3 - 22*k**2 - 156*k + 3922. What is f(15)? 7 Let u(n) = -12720*n**2 - 50961*n - 319. Determine u(-4). 5 Let j(s) = s**3 - 150*s**2 - 1625*s - 260. What is j(-10)? -10 Let f(u) = -9259*u - 101897. Calculate f(-11). -48 Let u(m) = -2*m**2 + 9868*m - 127943. Give u(13). 3 Let l(u) = 108*u - 9703. Determine l(88). -199 Let j(g) = -184708*g + 23827348. Determine j(129). 16 Let a(n) = -96461*n + 1929218. Calculate a(20). -2 Let l(n) = -62*n + 13231. Give l(184). 1823 Let h(n) = -175*n - 19243. Calculate h(-107). -518 Let v(s) = -s**3 + 45*s**2 - 301*s - 348. Give v(9). -141 Let w(g) = 585*g - 253976. Give w(434). -86 Let m(u) = -120*u**3 - 2*u**2 - 41*u + 82. Calculate m(2). -968 Let x(z) = 112*z**2 + 350*z + 48. Give x(-3). 6 Let o(n) = 1252*n + 51317. Give o(-41). -15 Let c(q) = 4251*q - 271460. What is c(64)? 604 Let p(n) = -n**3 - 9*n**2 - 38*n - 136. What is p(-7)? 32 Let n(m) = m**3 - 156*m**2 - 134*m - 3705. Give n(157). -94 Let b(z) = 15*z**2 - 744*z - 77. Determine b(52). 1795 Let d(y) = 61*y**2 - 6952*y - 227. Determine d(114). 1 Let p(i) = 8*i**3 + 273*i**2 - 268*i - 801. Give p(-35). 4 Let s(w) = -10*w**2 + 211*w + 5747. Determine s(35). 882 Let s(r) = -14278*r + 742457. Give s(52). 1 Let q(s) = 126*s - 28437. Calculate q(225). -87 Let p(b) = 5*b**2 + 8022*b - 56268. What is p(7)? 131 Let k(x) = 4*x**3 - 95*x**2 + 527*x - 154. Determine k(8). 30 Let t(a) = 2*a**2 + 151*a - 16602. Calculate t(61). 51 Let x(p) = -p**3 - 15*p**2 + 2798*p + 25663. Calculate x(-9). -5 Let j(t) = 2*t**3 - 133*t**2 - 52*t - 898. Calculate j(67). 107 Let i(c) = 979*c - 40263. Give i(41). -124 Let n(a) = -4*a**2 - 3386*a - 637340. What is n(-564)? -20 Let s(f) = -5314*f + 594860. Calculate s(112). -308 Let a(f) = f**3 - 28*f**2 - 71*f - 668. Determine a(31). 14 Let f(h) = -4859*h - 9167. Give f(-2). 551 Let r(m) = 14*m**2 - 4524*m - 18073. Determine r(-4). 247 Let p(o) = o**3 + 92*o**2 + 1676*o + 2052. Calculate p(-23). 5 Let m(z) = -12799*z - 255951. What is m(-20)? 29 Let n(q) = -q**3 - 17*q**2 - 2633*q - 15368. What is n(-6)? 34 Let t(p) = 3*p**2 + 3879*p + 11628. Calculate t(-3). 18 Let z(i) = 4745*i - 28465. Determine z(6). 5 Let f(i) = 2*i**2 + 946*i + 106611. Give f(-188). -549 Let o(m) = 10560*m + 18712313. Determine o(-1772). -7 Let q(j) = 284586*j - 52. Determine q(0). -52 Let q(p) = -p**3 - 19*p**2 + 55*p + 555. What is q(-17)? -958 Let x(v) = -652*v + 94930. Give x(145). 390 Let w(m) = 2*m**2 - 85917*m + 945152. Determine w(11). 307 Let x(s) = -535728*s - 95895304. Determine x(-179). 8 Let j(r) = -r**3 - 19*r**2 - 60*r - 756. Determine j(-18). 0 Let x(j) = -89063*j + 890463. Calculate x(10). -167 Let v(g) = -28*g**2 - 529*g - 1058. What is v(-2)? -112 Let c(l) = -4*l**3 + 31*l**2 + 31*l - 312. What is c(3)? -48 Let v(l) = -3*l**2 + 128*l - 992. Give v(34). -108 Let f(h) = -210*h - 83. Determine f(1). -293 Let o(r) = 4*r**2 + 10173*r + 40717. Determine o(-4). 89 Let z(r) = r**2 - 36*r - 6586. What is z(-74)? 1554 Let h(i) = 12*i**2 + 154*i - 2164. Calculate h(1
{ "pile_set_name": "DM Mathematics" }
Let j = -1300 + 2619. Is j composite? False Suppose n - 13 = z - 6, -3*n = z - 1. Suppose -3*a = -4 + 16. Is (-14)/a - n/4 composite? False Is (2/2)/(1/307) a composite number? False Let y(v) = -v**2 - 14*v + 10. Let s be y(-11). Let p = -88 + 156. Let b = p - s. Is b a prime number? False Suppose 5 = 2*o + 3*o. Suppose -8 = -3*a + o. Is a a composite number? False Let y(t) = t**2 - 3*t + 2. Let c be y(3). Suppose 0 + 10 = c*m. Suppose 0 = -g - 2*d + 5, 0 = -m*g - 4*d + 10 + 33. Is g prime? True Let d = -1 - -10. Let o(f) = -f**2 + 14*f + 8. Is o(d) a composite number? False Is 0/(3 - 4) + 1294 composite? True Suppose -5*r = -17 - 8. Let b be -10 + r - (-2 - -1). Is (2 + -9)*b/14 a prime number? True Let h = -4 + 10. Suppose -4*r = -h*l + l + 301, -2*r = 3*l - 163. Is l a composite number? True Let p(b) = -b**3 - 6*b**2 - 8*b - 1. Is p(-8) a composite number? False Suppose 0 = -4*r + 4*q + 328, 2*q + 466 = 5*r + 47. Suppose 0 = 3*h - 0*h + 4*b - 283, -b - r = -h. Is h a prime number? True Let l(h) = h**3 + 3*h + 3. Is l(4) a composite number? False Suppose -3*s = -2*o + 9641, -5*o - 3*s = s - 24091. Is o prime? False Let c = -5 - -4. Let j = 0 + c. Is 83 + 0*j/2 composite? False Let i = 160 - 45. Is i a prime number? False Let k = -142 + 273. Is k prime? True Let o = 179 + 197. Suppose 2*c = -2*c - 4*w + o, 4*c - 4*w = 376. Suppose -6*d + 4*d = -c. Is d a composite number? False Let l be 3 - 1*(-1 - -2). Let s be 74*(l - (-5)/(-2)). Let k = -18 - s. Is k a composite number? False Suppose -3*j + 62 + 193 = 0. Is j a composite number? True Suppose 0 = 3*h - 7*h + 88. Let f be 2/(-11) - 524/h. Let u = 13 - f. Is u composite? False Suppose b + 596 = 3*v - 0*b, -v - 5*b = -204. Is v a prime number? True Let i(n) = n**3 - 11*n**2 - 11*n - 14. Let o be i(12). Let k(a) = 5*a + 1 - 40*a - 31*a. Is k(o) composite? True Let y be (2/(-4))/(7/(-14)). Let p = 2 + y. Suppose -4*b + 85 = -p. Is b composite? True Suppose 17*x - 5570 = 12*x. Is x a composite number? True Suppose n - 32 = 132. Let y = 267 - n. Is y prime? True Let x be 2/1 + (-7 - -5). Suppose -4*n + 21 + 23 = x. Is n*(0 + 1) + 2 a prime number? True Let r be (2 + 0 + -1)/(-1). Let x be (r*1)/(6/(-12)). Suppose 0 = x*p - c - 38, -5*p = -2*p - 5*c - 57. Is p a composite number? False Suppose -3*m + m + 98 = 0. Is m a composite number? True Let m(d) = -157*d - 30. Is m(-7) composite? False Suppose 4*r - 3915 = -r. Suppose 4*m - 5*h - 1046 = 0, -3*m - 2*h = -5*h - r. Is m a composite number? True Let w(d) = d**3 + 12*d**2 + d + 7. Let x be w(-5). Suppose x = 4*p + 2*u - 677, 0 = 4*p - u - 839. Is p a composite number? False Let k = 403 - 164. Is k a composite number? False Suppose -13557 = -12*f + 13647. Is f composite? False Let k(z) = 0 - 2 - 8*z - 1. Let p = -7 + 2. Is k(p) composite? False Is (261/12)/(21/644) a prime number? False Let o(c) = -c**3 + 9*c**2 - 2*c + 4. Let n be o(8). Is ((-5)/4)/((-1)/n) composite? True Suppose 3*a - 5*a + 5*w + 11 = 0, 0 = w + 1. Suppose 0 = -8*s + a*s + 1315. Is s prime? True Suppose -4*t = 2*u - 336, t - 77 = u + 2*u. Let m = -18 + t. Is m a prime number? False Let z(k) = 2*k**2 - 27*k + 25. Is z(18) a composite number? True Suppose 9 = 4*t - 0*t - b, 2*t = -b + 3. Let a = 4 + t. Suppose -2*n + 22 = -a. Is n prime? False Is (-620)/(-5) - (1 - 2/(-1)) composite? True Let a = 4 + -3. Let h = 48 + a. Is h a prime number? False Suppose 0 = 5*k - 3*y - 379, -3*y - y + 358 = 5*k. Is k prime? False Let j(b) = -b**3 + b**2 - 1. Let v be j(-2). Suppose -2*z = -v + 3. Suppose 0 = -u + c + 43, -2*c + 196 = -0*u + z*u. Is u prime? True Let t(r) = 10*r**2 + 34*r - 17. Is t(-15) a composite number? False Let r(c) = -c**2 + 6*c + 1. Suppose -3*a + 8 = -a. Suppose a*m + m = 20. Is r(m) prime? False Let h(m) = 2*m**2 + m + 3. Let v = -15 + 11. Is h(v) prime? True Is (-587 - 0)*25/(-5) a composite number? True Suppose 1826 = u - 1881. Is u composite? True Is (-14)/35 + (-6814)/(-10) + 2 prime? True Let t(z) = -78*z**3 - 2*z**2 - z. Let s(n) = -n**3 - 5*n**2 - n - 6. Suppose -4*m + 4*x - 8 = 0, -3*x = 2*m + 3*m + 34. Let a be s(m). Is t(a) prime? False Let j(d) = d**2 + 4*d + 22. Is j(15) composite? False Let r(j) be the first derivative of -15*j**2/2 - 8*j + 8. Is r(-6) composite? True Is (-1)/4 - (-12471)/12 a prime number? True Let o(n) = -5*n**2 + 4 + 3*n**3 + 0*n**3 + n + 5*n**3 - 3*n**3. Is o(3) composite? False Let c(h) = -h**3 + 13*h**2 + 11*h. Let j(z) = -z**3 + 14*z**2 + 11*z + 1. Let v(b) = 7*c(b) - 6*j(b). Is v(7) prime? True Let v(n) = -n**3 + n + 1. Let s be v(-6). Is (s - (-3 - 0)) + -3 composite? False Let w be 24/8*(-11)/(-3). Let d = w + -8. Suppose d*r = 15 + 54. Is r composite? False Let q = 196 + -136. Let s(p) = 2*p - 3. Let g be s(4). Suppose 0 = -3*w - 3*m + q, g*w - 3*m + 19 = 159. Is w a prime number? False Let m be ((-12)/5)/((-6)/(-30)). Let p = -27 + 58. Let j = p + m. Is j composite? False Let g = -3 + 5. Suppose 2*t - 6 = -3*o - g, 2*o + 2*t = 2. Suppose -5*h + 3*s = -394, -o*h + 163 + 0 = -3*s. Is h a composite number? True Let i = 5 + -3. Suppose 0 = i*d, -b - d = -14 - 65. Is b prime? True Let j = 374 - 217. Is j prime? True Let o be (-6)/3 - (-14)/2. Suppose -3*r + 34 = -o*f, -3*r - 2*r + 25 = -2*f. Is r composite? False Let g = 45 - -18. Is 14/g + (-2257)/(-9) composite? False Let f(k) = 9*k**2 - 4*k - 3. Is f(8) a prime number? True Is (42746/33)/((-5)/((-30)/4)) prime? False Let y = -2598 - 630. Is y/(-28) + 2/(-7) a prime number? False Suppose -4*y - 50 = y. Let f(i) = -8*i - 3. Let p(o) = 8*o + 3. Let g(j) = -5*f(j) - 6*p(j). Is g(y) prime? False Let y be ((-1)/(-3))/((-3)/(-18)). Suppose 2*n + 258 = 4*n + y*v, 5*n - 669 = v. Suppose -2*o - n = -3*o. Is o prime? False Let s be ((-12)/10)/((-15)/(-50)). Let q be 0/4*2/s. Is q/(-1 - -2) - -35 composite? True Suppose 4*t = -r + 8, 4*r + 12 - 4 = 4*t. Let p be ((-3)/t + 2)*0. Suppose 3*v - o + 10 - 47 = p, -29 = -3*v - o. Is v a prime number? True Suppose -z = -b + 135, -127 = -b + z + 2*z. Is b a composite number? False Suppose -2*d + 1485 = 5*l, 0 = -d + 4*l - 100 + 849. Suppose -c + 248 - d = -2*o, 0 = -5*o + 5*c + 1250. Is o prime? False Let w = 922 - 425. Is w composite? True Suppose 0 = 3*w + 3*j + 6, -5*w + 22 = -j - 2*j. Let o = w - -1. Is o a composite number? False Let r(k) = 69*k + 3. Let j(f) = 70*f + 4. Let o(w) = 4*j(w) - 5*r(w). Is o(-2) prime? True Suppose -7*w - 16 = -3*w. Is 171/15 + w/10 composite? False Let y = 20297 + -13390. Is y prime? True Suppose -b = -3*f + 14 + 4, 0 = 5*f - b - 30. Let z = 5 - 3. Suppose -f = z*p - 76. Is p prime? False Let f be 3/(-5) - 6/15. Let j(n) = -470*n**3 - n**2 - n - 1. Is j(f) prime? False Let q be (4/16)/((-3)/(-60)). Suppose q*u = 4*u + 221. Is u a prime number? False Let z(w) = -w. Let y(t) = 22*t - 4. Let g(o) = y(o) + z(o). Let x(s) = 43*s - 9. Let b(n) = 13*g(n) - 6*x(n). Is b(4) a composite number? True Let p be -1 + 2 + 4 + 0. Let t be (8/(-10))/((-3)/90). Suppose -p*v + v = -t. Is v prime? False Let a(b) = b**2 + 3. Let n be a(0). Let l be (-22)/(-1) + n + -4. Is l/(-3)*(-1 + 0) prime? True Let x(k) = -k**2 - 5*k. Let t be (5/1)/(2 - 3). Let o be x(t). Suppose 0 = -2*l - 5*u - 14, o*u = -5*l + 5*u + 35. Is l a composite number? False Suppose -8 = -u + 23. Is u a prime number? True Let h = -11 + 6. Is -1*(-4 - h)*-377 a prime number? False Suppose 7*v - 6*v - 5*n - 254 = 0, -5*v + 3*n = -1292. Is v a prime number? False Is (-5)/(1*(3/(-9))/1) a prime number? False Suppose -w = q - 432, -3*q - 2*q = -5*w + 2210. Is w composite? True Let o(y) = 4*y**2 + 4*y - 7. Let g be o(-9). Let m = 534 - g. Is m a prime number? False Let j(r) = r**2 + 6*r + 4. Let m be j(-5). Let y = m + 4. Suppose y*i + 3*n - 354 = 0, 3*i + 5*n = 156 + 196. Is i a composite number? True Suppose 5*j + 0 = 15. Let i = 3 + j. Is i a prime number? False Is 338/18 + (-4)/(-18) prime? True Let x(o) = -o**3 + 9*o**2 - 7*o - 5. Let q be x(8). Suppose -q*s + s = -340. Suppose m - s = -m. Is m a composite number? True Suppose 3*i - 290 = l - 23, -l = -3. Let u be (6/9)/(2/i). Suppose -u = -5*k - 0*k. Is k a composite number? True Let v = 313 + -179. Is v prime? False Suppose -3*h = 6*l - 2*l - 2683, 5*l + 4425 = 5*h. Is h prime? False Suppose -3*m + f + 14 = 2*f, -5
{ "pile_set_name": "DM Mathematics" }
2 + 0*j**u + j**2 + 0*j**2. Let i(o) = -5*o**2. Calculate i(r(b)). -20*b**4 Let i(u) = -152*u. Let j(p) = 3*p**2. Calculate j(i(k)). 69312*k**2 Let i(c) = -84*c**2 + 2. Let q(r) = 34*r**2 - 2. Determine i(q(b)). -97104*b**4 + 11424*b**2 - 334 Let b(z) = -z. Let d(j) = -2*j - 26. Determine b(d(x)). 2*x + 26 Let g(f) = -2*f. Let z(h) be the third derivative of 0 + 2*h**2 + 0*h**3 + 0*h + 1/24*h**4. What is z(g(o))? -2*o Let j(c) = 3*c. Let k(a) = 532*a - 532*a + 5*a**2. Give k(j(x)). 45*x**2 Let a(q) = -58 - 18*q**2 + 58. Let f(o) = -o**2. Give f(a(w)). -324*w**4 Let b(d) = 8*d**2. Let i(j) = -158 + 158 - 5*j**2. Determine b(i(q)). 200*q**4 Let n(c) = -4*c - 48 + 48. Let u = 15 - 10. Let k(t) = t - u*t + 3*t. Calculate k(n(h)). 4*h Let p = 15 + -13. Let c(m) = 4*m + p*m - 8*m. Let n(v) = -4*v**2 - 1 + 1. What is n(c(k))? -16*k**2 Let d(c) = 39*c**2 - 41*c**2 - 2 + 2. Let x(u) = -24*u. Calculate x(d(s)). 48*s**2 Let v(p) = 287*p. Let x(g) = 4*g. Give x(v(y)). 1148*y Let u(c) = c**2. Let y be -33*3*(-3)/27. Let g(o) = 76 - y*o - 76. Determine g(u(f)). -11*f**2 Let s(c) = -2*c**2 - 20. Let a(b) = -5*b**2. Determine s(a(k)). -50*k**4 - 20 Let t(p) = -2*p**2. Suppose 3 = -3*n, -n = 2*s + 2*n - 1. Let b(y) be the first derivative of 0*y + 0*y**s + 1/3*y**3 - 1. Determine b(t(g)). 4*g**4 Let z(b) = -2*b**2. Let y(f) = 4*f - 6*f + 3*f. What is y(z(h))? -2*h**2 Let l(r) = 1 - 1 + r**2. Let j = 0 + 3. Let c(d) = j*d - 4*d - d. What is l(c(m))? 4*m**2 Let t(i) be the second derivative of i**3/6 - 41*i**2/2 + 32*i. Let j(c) = c**2. Calculate j(t(b)). b**2 - 82*b + 1681 Let a(m) = -2*m. Suppose 0 = -4*l - 3*p - 11 - 4, l - 4*p - 20 = 0. Let h(u) be the first derivative of u**2 + l + 0 - 3 + 4. Calculate a(h(c)). -4*c Let k(b) = -11*b**2 - 4*b. Let x(f) = -12*f**2 - 5*f. Let n(z) = -5*k(z) + 4*x(z). Let s(v) = 3*v**2. Determine n(s(d)). 63*d**4 Let g(r) = 3*r**2 - 6. Let t(d) = 6*d**2 - 13. Let q(h) = -13*g(h) + 6*t(h). Let l(o) = 3*o**2. Give q(l(j)). -27*j**4 Let c(v) = -11*v**2. Let r(t) = -6*t**2. What is r(c(w))? -726*w**4 Let u(n) = -1. Let d(x) = -x - 7. Let b(q) = -4*d(q) + 28*u(q). Let g(k) = 2*k**2. What is b(g(a))? 8*a**2 Let k(g) = 2*g. Let j(x) = -839*x**2. Calculate j(k(i)). -3356*i**2 Let d(j) = 14771*j. Let n(i) = 2*i. What is n(d(u))? 29542*u Suppose -5*l - 5 = -5*d, 0*l = l + 4*d - 19. Suppose 0 = -l*w + 6*w - 6. Let p(y) = -6*y**w + 0*y**2 + 4*y**2. Let m(t) = 2*t**2. Give p(m(u)). -8*u**4 Let u = -6 - -10. Let o(p) = p - 4 + 0 + u. Let t(r) = 2*r**2. Determine t(o(d)). 2*d**2 Let b(g) = 0*g**2 + 0*g**2 + g**2. Let j(y) = 2*y - 1. Let c(m) = -9*m + 5. Let h(w) = -c(w) - 5*j(w). Give b(h(z)). z**2 Let r(j) = 6*j**2. Let n = 8 + -4. Suppose -q + f - 2 = 0, -2*f + 0 + n = -4*q. Let u(k) = 0*k + q*k - 4*k + 2*k. What is r(u(o))? 24*o**2 Let a(z) = 5*z. Let p = -3 + 6. Let f(x) = -6*x + p*x + 5*x. Calculate f(a(h)). 10*h Let o(d) = -4*d. Let i(g) = -240*g. Determine i(o(a)). 960*a Let b(d) = d**2 - 2. Let z(a) = 6*a**2 - 11. Let s(n) = -22*b(n) + 4*z(n). Let l(c) be the third derivative of c**5/20 + 6*c**2. Determine s(l(u)). 18*u**4 Let a(x) = 30*x**2 - 2. Let n(z) be the first derivative of -2*z**3/3 + 23. Calculate a(n(k)). 120*k**4 - 2 Let g(l) = 10 - 10 + l**2. Let u(a) = 1 - 1 + 0 + 2*a. Give g(u(x)). 4*x**2 Let q(r) = 0*r + 4*r + 2*r - 8*r. Let t(v) = -3*v**2. What is t(q(c))? -12*c**2 Let r(a) be the third derivative of -7*a**5/60 - 11*a**2. Let h(i) = 2*i**2. Calculate r(h(x)). -28*x**4 Let h(u) = -2*u**2. Let a(m) = -m - 7. Let r(z) = z + 6. Let t(c) = 6*a(c) + 7*r(c). Determine t(h(d)). -2*d**2 Let u(p) be the third derivative of -3*p**2 + 0*p + 0 - 1/12*p**4 + 0*p**3. Let y(t) = t**2. Determine u(y(s)). -2*s**2 Let m(b) be the first derivative of 0*b**4 + 1/120*b**5 + 0*b**2 + 0*b - 1/3*b**3 - 3. Let v(f) be the third derivative of m(f). Let h(g) = 2*g. Give h(v(c)). 2*c Let m(o) = -6*o - 26. Let a(k) = -5*k**2. Give m(a(x)). 30*x**2 - 26 Let u(v) = -2*v. Let w(a) be the first derivative of a**6/360 - 2*a**3/3 + 2. Let n(s) be the third derivative of w(s). Give u(n(k)). -2*k**2 Let w(f) = -2*f. Let r(t) = -5*t**2 + 9. Give w(r(a)). 10*a**2 - 18 Let d(s) = 35*s**2. Let k(p) be the second derivative of p**3/3 - 17*p. Determine k(d(c)). 70*c**2 Let v(q) = 2*q**2. Let j(m) = m**2 + 8*m + 7. Let l be j(-7). Let p(a) = 5*a - a + l*a + a. Give p(v(k)). 10*k**2 Let q(v) = -18*v + 21. Let l(s) = -8*s + 9. Let g(b) = -7*l(b) + 3*q(b). Let t(u) be the first derivative of 5*u**3/3 - 1. Give t(g(c)). 20*c**2 Let m(v) = 13*v**2 + 18*v**2 - 16*v**2. Let j(y) = y. Determine j(m(g)). 15*g**2 Let o(r) = 37*r**2. Let i(g) = 2*g - 3. What is o(i(f))? 148*f**2 - 444*f + 333 Let x(h) = -2*h. Let b(r) = -331*r. Calculate x(b(m)). 662*m Let r(u) = 2*u. Let x(b) = 5*b - 2*b**2 - 5*b. Calculate x(r(n)). -8*n**2 Let x(h) = 2*h. Let l(o) = -8*o**2 + 211*o + 1. Give l(x(a)). -32*a**2 + 422*a + 1 Let w(u) = -u. Suppose 2*l + i = -4, -2*i + 0 - 8 = -5*l. Let v(q) be the third derivative of 0*q**4 + l*q + 0 - q**2 + 0*q**3 + 1/30*q**5. Give w(v(j)). -2*j**2 Let q(k) be the third derivative of k**5/30 + k**2. Let x(f) be the first derivative of -f**3 + 3. Calculate x(q(z)). -12*z**4 Let f(i) = 9*i - 15. Let w be f(7). Let n(p) = -3*p**2 + 48 - w. Let d(q) = -4*q**2. What is d(n(b))? -36*b**4 Let v(d) = 33 - 2*d**2 - 17 - 16. Let z(x) = -21*x**2. Calculate v(z(q)). -882*q**4 Let n be ((-3)/(-1))/(-3) - -3. Let z(y) = 10 - 10 - y**n. Let r(f) = -5*f**2. Give r(z(c)). -5*c**4 Let u(q) = 6*q. Let r(j) = 16*j + 6. Let h(k) = 16*k + 5. Let n(l) = -6*h(l) + 5*r(l). Calculate u(n(s)). -96*s Let v(x) be the second derivative of -3*x + 0*x**2 + 0 - 1/3*x**3. Let t(l) = -2*l - 10. Let d(y) = -1. Let b(h) = 20*d(h) - 2*t(h). Give v(b(q)). -8*q Let v(c) = -5*c**2. Let d(i) be the first derivative of -5*i**2/2 - 5. What is v(d(f))? -125*f**2 Let x(u) = -204*u**2 - u. Let a(t) = t. Calculate x(a(v)). -204*v**2 - v Let v(m) = -2*m. Let h(c) = 4063*c**2. Determine h(v(b)). 16252*b**2 Let m(y) be the third derivative of y**4/24 + y**2. Let g(j) = 1 + 0 - 2. Let w(h) = -h + 3. Let u(k) = 3*g(k) + w(k). Give m(u(s)). -s Let d(f) = -5*f + 3. Let z(v) = 4*v - 2. Let l(p) = -2*d(p) - 3*z(p). Let g(a) = 15*a**2. Calculate g(l(u)). 60*u**2 Let m(b) = -2*b**2 + 8*b. Let q = 5 + -1. Let l = q + -1. Let w(v) = -v**2 + 3*v. Let u(r) = l*m(r) - 8*w(r). Let d(h) = -h**2. Determine d(u(k)). -4*k**4 Let g(n) = -n + n + 3*n. Let s(y) = -5*y**2. What is g(s(m))? -15*m**2 Let i(h) = 2*h**2. Let v(l) = -5*l**2 - 11*l + 13*l - 2*l. Determine i(v(a)). 50*a**4 Let z(c) = -c**2. Let s(h) = h - h - h**2 + 9*h**2. Give z(s(w)). -64*w**4 Let j(v) be the third derivative of -v**4/24 - 3*v**2. Let y(g) = 2*g**2. Determine j(y(n)). -2*n**2 Let z(f) = 28*f**2 - 12. Let w(p) = -p. Give z(w(u)). 28*u**2 - 12 Let i(k) = -2*k. Let o(m) = -m**2 + 180*m. What is o(i(d))? -4*d**2 - 360*d Let m(f) = 1942*f + 3. Let p(z) = 2*z**2. Calculate p(m(i)). 7542728*i**2 + 23304*i + 18 Let h(c) = -11678*c. Let x(d) = 3*d**2. Give h(x(a)). -35034*a**2 Let c(v) = -2*v**2. Suppose 2*t + 1 = 3*g, -4*t = 5*g - 20 - 11. Let l(f) be the first derivative of 0*f + 0*f**2 + 1/3*f**g + 1. Determine c(l(x)). -2*x**4 Let x(g) = g. Let p(a) be the second derivative of -7*a**3/6 - 5*a**2/2 - 4*a. Let t(n) = -18*n - 12. Let i(d) = -12*p(d) + 5*t(d). Calculate i(x(l)). -6*l Let a(x) be the third derivative of -x**4/6 - 11*x**2. Let w(s) = s. Give w(a(r)). -4*r Suppose 0*z = -2*r + 4*z + 2, 0 = 3*r - 4*z - 7. Let u(x) = -5 + x + 0*x + r. Let t(i) = -16*i. Determine t(u(q)). -16*q Let g(i) = 3*i**2. Let l(t) = -t + 2. Let m(o) = 3*o - 5. Let y(z) = 5*l(z) + 2*m(z). What is g(y(r))? 3*r**2 Let p(u) = -6*u**2 + 2*u**2 + 8*u**2. Let l(y) = 3*y**2. Determine p(l(s)). 36*s**4 Let r(y) = -y. Let h(j) be the first derivative of 0*j + 0*j**2 - 2 - 4/3*j**3. Give h(r(x)). -4*x**2 Let v(i) = 26*i. Let l(t) = 2*t. Let d(o) = 28*l(o) - 2*v(o). Let y(c) be the third derivative of 5*c**4/24 + c**2. What is d(y(u))? 20*u Let r(i) = i + 2*i**2 + 6*i - 7*i. Let t(v) = 2*v. What is t(r(x))? 4*x**2 Let y(v) = -1130*v**2 - 3*v. Let g(m) = m. Give g(y(u)). -1130*u**2 - 3*u Let i(u) = -2*u**2 + 1578*u. Let d(k) = k**2. Determine i(d(y)). -2*y**4 + 1578*y**2 Let c(t)
{ "pile_set_name": "DM Mathematics" }
1, -10 in descending order. 446, 2, 1, 0.42, -10 Put -41354/7, 1, -1/3 in ascending order. -41354/7, -1/3, 1 Sort 23, -5, -730, -1/6 in increasing order. -730, -5, -1/6, 23 Sort 19, -2, 1869, 51. -2, 19, 51, 1869 Put 19.6, -2/3, -0.03, -1/4, 1/122 in descending order. 19.6, 1/122, -0.03, -1/4, -2/3 Sort 3, -1, 782, 0.04737 in decreasing order. 782, 3, 0.04737, -1 Sort -3, -31, 5, -24, 3, -5, -2 in decreasing order. 5, 3, -2, -3, -5, -24, -31 Sort 0.1, -23200, 2, -10/51 in decreasing order. 2, 0.1, -10/51, -23200 Sort -2, 3, 0, 2, -3, 990 in increasing order. -3, -2, 0, 2, 3, 990 Put 100, 0, -635, 1, 7, 36 in decreasing order. 100, 36, 7, 1, 0, -635 Sort 3, -157, 11, 59630 in increasing order. -157, 3, 11, 59630 Sort -0.044, 0.16, 0.0954 in ascending order. -0.044, 0.0954, 0.16 Sort 5248, -8, 7, -2, 3, 5, 4 in ascending order. -8, -2, 3, 4, 5, 7, 5248 Sort 35, 130244, 10, -5 in decreasing order. 130244, 35, 10, -5 Sort -69, -19, 0, -3, -5, 2 in descending order. 2, 0, -3, -5, -19, -69 Put 18, -7, 1273, -1 in ascending order. -7, -1, 18, 1273 Sort 3, -3, 179501 in decreasing order. 179501, 3, -3 Put -0.1, -7, 73, 2, 4, 3, -4/3 in descending order. 73, 4, 3, 2, -0.1, -4/3, -7 Put 0, 415, -2/65, 1/5, 2 in decreasing order. 415, 2, 1/5, 0, -2/65 Sort 38, 45.664, -0.4. -0.4, 38, 45.664 Put 1713, -147, 8, 0 in ascending order. -147, 0, 8, 1713 Sort -1, -5434, 13, 17, -2 in decreasing order. 17, 13, -1, -2, -5434 Sort -7, -2, -5, 1145, -1, -4 in decreasing order. 1145, -1, -2, -4, -5, -7 Put -1096, 2/13, 4, 12/175, -0.5 in increasing order. -1096, -0.5, 12/175, 2/13, 4 Sort 2, 6, -4, -3, 22, 14 in ascending order. -4, -3, 2, 6, 14, 22 Put -5, 2, -4, 5, 4, 10, -4485 in ascending order. -4485, -5, -4, 2, 4, 5, 10 Sort -83, -1, 42621, -3, 3 in descending order. 42621, 3, -1, -3, -83 Put -43830, 89, 0, -1 in descending order. 89, 0, -1, -43830 Sort -0.2, 127661, 4/3, -5 in descending order. 127661, 4/3, -0.2, -5 Put -2, -49470465, -5, -3, 2 in decreasing order. 2, -2, -3, -5, -49470465 Sort 17, -14612, 4, -2. -14612, -2, 4, 17 Put -6987, -34/9, -2, 2/17 in decreasing order. 2/17, -2, -34/9, -6987 Sort 2, 5, -136075376 in ascending order. -136075376, 2, 5 Sort 3, 4, -187/2209, 3/7, 3/4 in descending order. 4, 3, 3/4, 3/7, -187/2209 Put -359, -0.07, -4, -1443 in ascending order. -1443, -359, -4, -0.07 Put -488047, -0.5, 2.4 in decreasing order. 2.4, -0.5, -488047 Sort 65, 4/7, -0.5, -998/13 in ascending order. -998/13, -0.5, 4/7, 65 Put 9, -4, -875 in descending order. 9, -4, -875 Sort 2/15, 629, -2408, 4. -2408, 2/15, 4, 629 Sort 4, -4, 2, -526, 0, 48, -2. -526, -4, -2, 0, 2, 4, 48 Put -2/7, 4, 28, -46, 46/47 in increasing order. -46, -2/7, 46/47, 4, 28 Sort -415, 1, 28, -10, -22 in increasing order. -415, -22, -10, 1, 28 Sort 108, 0.1, 83.3, 6/7 in ascending order. 0.1, 6/7, 83.3, 108 Sort -1, 4, -7, 1, 5038, -5 in descending order. 5038, 4, 1, -1, -5, -7 Sort 0.07, 69, 0, -101.13, -5. -101.13, -5, 0, 0.07, 69 Sort 6798, 0.3, 108 in descending order. 6798, 108, 0.3 Put -2, -5, -72936, -8932 in ascending order. -72936, -8932, -5, -2 Put -861, -33, -4, -0.1, -0.3 in decreasing order. -0.1, -0.3, -4, -33, -861 Sort -216, 4, -30, -5401 in descending order. 4, -30, -216, -5401 Sort 1/144, -315.8, 16 in decreasing order. 16, 1/144, -315.8 Put -81, -10857, 2, -2, 4, -0.02 in decreasing order. 4, 2, -0.02, -2, -81, -10857 Sort 0.3, 4.7, 0.00338. 0.00338, 0.3, 4.7 Sort -184, 56, -285, -3, 0 in increasing order. -285, -184, -3, 0, 56 Sort -21, -2, 0, -611, 26 in increasing order. -611, -21, -2, 0, 26 Put 56, 1/5, 0.17863 in decreasing order. 56, 1/5, 0.17863 Sort 374, -1/6, -315, 2/11, -0.3, 2 in descending order. 374, 2, 2/11, -1/6, -0.3, -315 Put -4/85, 2, 1/2, 0.16, 479, 1 in decreasing order. 479, 2, 1, 1/2, 0.16, -4/85 Sort 0, -2, 13, -241, 2, 1/9. -241, -2, 0, 1/9, 2, 13 Put -1909757, -5, 27 in ascending order. -1909757, -5, 27 Sort 64, -6, 112541. -6, 64, 112541 Sort -892, -0.1, -173, -2/5, -3, 2. -892, -173, -3, -2/5, -0.1, 2 Sort -3, -4, -5393192 in ascending order. -5393192, -4, -3 Sort -3, -1/271, -182, 23 in descending order. 23, -1/271, -3, -182 Put -4, 2/9, 0.2, -84, -1.104 in increasing order. -84, -4, -1.104, 0.2, 2/9 Sort -5, 2/723, 0.1, -8/21 in ascending order. -5, -8/21, 2/723, 0.1 Sort -1, 2, -1859, 5, -1088 in increasing order. -1859, -1088, -1, 2, 5 Put 2910, -4, -5, -12587 in decreasing order. 2910, -4, -5, -12587 Sort 3143, 43, -1, 5, -4, 0 in ascending order. -4, -1, 0, 5, 43, 3143 Sort -1790, 0.1, 0.23, -2 in ascending order. -1790, -2, 0.1, 0.23 Put 160, 0, 13, 5, -4, -1, 19 in decreasing order. 160, 19, 13, 5, 0, -1, -4 Sort 1, 28, 29, -2, 4, -1, 6. -2, -1, 1, 4, 6, 28, 29 Put 0, 14, 0.3, -32, 2/3, -2, 45.6 in decreasing order. 45.6, 14, 2/3, 0.3, 0, -2, -32 Sort 658, -1/2, -264 in decreasing order. 658, -1/2, -264 Put 28526, 0.002, 16 in increasing order. 0.002, 16, 28526 Put -4, 2, 1822, -1, 4258 in decreasing order. 4258, 1822, 2, -1, -4 Sort -5/3, -3, -14356, 0.1, 6 in descending order. 6, 0.1, -5/3, -3, -14356 Sort 5, 1035, 8, -3, 3 in descending order. 1035, 8, 5, 3, -3 Sort 5, -0.2, -100, 371, 1/5 in descending order. 371, 5, 1/5, -0.2, -100 Put -0.5, -161, -325, 7/5 in increasing order. -325, -161, -0.5, 7/5 Put 13, -10.284479, 1/5, -1 in increasing order. -10.284479, -1, 1/5, 13 Sort 8, 4, 55330, 2, 0. 0, 2, 4, 8, 55330 Put -13, -626, 9, 12, 1 in decreasing order. 12, 9, 1, -13, -626 Sort -4, 5, -14, -13, -8117. -8117, -14, -13, -4, 5 Put -5, -2, 139539 in descending order. 139539, -2, -5 Put 1, -5, -119, 2, -124, -19 in descending order. 2, 1, -5, -19, -119, -124 Sort -196, 0, 2.1258, 12 in descending order. 12, 2.1258, 0, -196 Sort 2, -4, -1, 5, 8884. -4, -1, 2, 5, 8884 Put -3, -1, 8, 11, 527, -15 in decreasing order. 527, 11, 8, -1, -3, -15 Put -13, 0.4, -183/140, 0.7, 6/5 in descending order. 6/5, 0.7, 0.4, -183/140, -13 Sort -0.044, -0.1, 0.02, 30, -6 in decreasing order. 30, 0.02, -0.044, -0.1, -6 Sort 2/13, 53, -25727, 3, 0.1, 1/5 in decreasing order. 53, 3, 1/5, 2/13, 0.1, -25727 Sort 1, -1, -1007, 6, -2, -211 in ascending order. -1007, -211, -2, -1, 1, 6 Put 0, -146, 1, -1, 5, -17 in decreasing order. 5, 1, 0, -1, -17, -146 Sort -1483, -13.6, -4 in decreasing order. -4, -13.6, -1483 Put -60541, 1, 5, 2 in descending order. 5, 2, 1, -60541 Put 0.16, -4.5, -2.8, -0.0948 in decreasing order. 0.16, -0.0948, -2.8, -4.5 Put 42, 0, -1, 78, 3, 5, 10 in increasing order. -1, 0, 3, 5, 10, 42, 78 Sort -607, 2/15, 1535 in decreasing order. 1535, 2/15, -607 Put -3, -171, 3, -0.037, -0.5, 1 in decreasing order. 3, 1, -0.037, -0.5, -3, -171 Put -2, 54, 1, 514, 5 in ascending order. -2, 1, 5, 54, 514 Put -132, -2, 82905 in decreasing order. 82905, -2, -132 Put 11733, -2, 164, -4, 5 in ascending order. -4, -2, 5, 164, 11733 Sort 634, -11, 347 in decreasing order. 634, 347, -11 Sort 1, 5, -5, 1084, 69, -2. -5, -2, 1, 5, 69, 1084 Put -2, 1, -9, 1272, 52 in decreasing order. 1272, 52, 1, -2, -9 Sort 5, -2, -3072, 0, -7. -3072, -7, -2, 0, 5 Sort -65, -713, -94. -713, -94, -65 Put -1513, 0, 4, -2, 3, -5 in increasing order. -1513, -5, -2, 0, 3, 4 Sort 2.4, -3/2, -354, 3/7 in descending order. 2.4, 3/7, -3/2, -354 Sort 3078592, 2, 4 in increasing order. 2, 4, 3078592 Sort -1, 5, -2, -3, 0, -3873, 44. -3873, -3, -2, -1, 0, 5, 44 Sort 3/5, 5, -1/3, 60/56689. -1/3, 60/56689, 3/5, 5 Put 4, -0.2, 0.5, -1/19336, -37 in descending order. 4, 0.5, -1/19336, -0.2, -37 Put 0, 30, 26, -2, -4, 173 in descending order. 173, 30, 26, 0, -2, -4 Put 164, 16, -8, -5, -175, 2, 4 in decreasing order. 164, 16, 4, 2, -5, -8, -175 Sort -4, -18372, 1, 0, 109 in decreasing order. 109, 1, 0, -4, -18372 Put 4, 14, 5, -2147, -9, -2, -3 in descending order. 14, 5, 4, -2, -3, -9, -2147 Sort 0.062, -26/5, -102, 1 in descending order. 1, 0.062, -26/5, -102 Put 1687, 29, -15, -2, 3, 2 in decreasing order. 1687, 29, 3, 2, -2, -15 Sort -4, 10359, 4, 319 in increasing order. -4, 4, 319, 10359 Put 2/9, -581, 31, -4 in descending order. 31, 2/9, -4, -581 Put 1.553, -3/7, 0.12, 174/35 in decreasing order. 174/35, 1.553, 0.12, -3/7 Sort 16, 1, 5, 2, 4, -8497, -2 in decreasing order. 16, 5, 4, 2, 1, -2, -8497 Sort -4, -94448, 1, -5, 0 in descending order. 1, 0, -4, -5, -94448 S
{ "pile_set_name": "DM Mathematics" }
**3 - 55*v**3. Calculate u(-10). -1 Suppose -i - 5 = -8. Let d(w) = 11 - i*w - w - 5 + 7*w. Determine d(-7). -15 Let h(r) = 2*r + 4. Suppose 3*n = -n - 4. Let k = -3 - n. Let x(c) = c - 1. Let u be x(k). Calculate h(u). -2 Let d(c) be the third derivative of 0*c + 0 - 1/24*c**4 + 7*c**2 - 1/60*c**5 - 1/3*c**3. What is d(0)? -2 Let z be 2 - (-1)/(-2 - -1). Let j(x) = x**2 + x. Let q be j(0). Let t(y) = 0*y**2 + 1 + q - y**2 - y. Determine t(z). -1 Suppose -5*w + 24 = 2*z - w, -2*z + w + 19 = 0. Suppose 300*y + 221 = 317*y. Suppose -y*j + z = -11*j. Let h(p) = p**2 - 7*p. What is h(j)? -10 Let v(b) = b**2 + 12*b - 7. Let r be v(-16). Suppose 4*d + 2*o - r = -3*o, 81 = 4*d - 3*o. Let i = d + -18. Let t(m) = -m**3 - m**2 + m + 7. Calculate t(i). 7 Let t(u) be the first derivative of -u**6/360 - 7*u**5/120 + 5*u**4/24 + 6*u**3 + 7. Let a(j) be the third derivative of t(j). What is a(-8)? -3 Let r(c) = 9*c**2 - 2*c - 19. Let o(d) = -4*d**2 + 2*d + 10. Let n(u) = 7*o(u) + 3*r(u). What is n(9)? 4 Let h(v) = v - 3. Let o(f) = f + 9. Let n be o(-8). Suppose 9*w + 20 = 4*w. Let k = w - n. What is h(k)? -8 Let t(m) = 11*m**2 - 15*m + 6. Let i(p) = -7*p**2 + 10*p - 4. Suppose -3*r = -d - r + 9, 12 = 2*d - r. Let c(h) = d*t(h) + 8*i(h). Calculate c(4). 2 Let i(w) be the second derivative of -1/3*w**3 - 3*w**2 + 0 - 9*w. Calculate i(-4). 2 Let t(k) = -5*k - 2*k + 9*k - 4*k - 6. Give t(5). -16 Let r(d) = d**3 + 3 - 2*d**3 - 5*d**2 - 1. Suppose z = -3*c + 5*z - 25, -3*c - z = 5. What is r(c)? -16 Suppose 9*a + 9*a = 54. Let r be (2 - (-2)/(-2)) + 3. Let v(d) = d**2 + r - a + 1 - 9*d - 1. Calculate v(9). 1 Let n(d) = -d - 1. Suppose 39*g - 38*g - 12 = 0. Let l(f) = -f**3 + 13*f**2 - 13*f + 14. Let c be l(g). Determine n(c). -3 Let q(l) = 3*l + 5 + l + 14*l**2 + 1 - 13*l**2 - 5. What is q(-4)? 1 Let c = 273 + -273. Let q(j) = -j**3 + j**2 + j - 3. Give q(c). -3 Suppose 0 = -2*l - l - 3. Let k(d) = -193 + 95 - 4*d + 3*d + 99 - 10*d. What is k(l)? 12 Let q = -462 - -469. Let h(d) = -3*d + 24. Determine h(q). 3 Let b(n) = -20*n + 108. Let a be b(6). Let i(f) = f**3 + 11*f**2 - 12*f + 4. What is i(a)? 4 Suppose 0 = 3*j - 3*j - 2*j. Let q(o) be the first derivative of 0*o**3 + 2 + o + 1/4*o**4 + 1/2*o**2. Calculate q(j). 1 Let t(l) = 2*l + 1. Let q = 15 - 15. Suppose 5*s + q*g + 16 = -4*g, 20 = 3*s - 5*g. Suppose 2*d + s*d - 2 = 0. Give t(d). 3 Suppose -r + 4 = -1. Let a(i) = 12*i**2 - 15*i + 9. Let m(j) = 5*j**2 - 7*j + 4. Let u(y) = 2*a(y) - 5*m(y). What is u(r)? -2 Let r(u) be the first derivative of -30 + 5/2*u**2 + 1/4*u**4 - 4*u - u**3. Give r(3). 11 Let p = 234 - 149. Let h = p - 85. Let j(x) = x + 1. Determine j(h). 1 Let x(a) = 133*a**2 - 138*a**2 - a**3 + 2*a - 3 - 5*a + a. Determine x(-2). -11 Let u(s) = s**2 - 10*s + 6. Let q be u(9). Let m be 1 + -3*4/q. Let c(p) = p**3 - 4*p**2 - 6*p. Determine c(m). -5 Let l(x) = x**2 - 19*x + 58. Let z be l(4). Let b(r) be the first derivative of -4*r**3/3 - r**2 + 2. Calculate b(z). -12 Let v be (1 + -2)*0/2. Let l(y) = -1 + v - 5*y**2 - y**3 + 2*y**2 + 3*y. Let x be (-8)/4*(-6)/(-4) + -1. Determine l(x). 3 Let o(x) = 2*x + 9. Let k = 251 + -257. Give o(k). -3 Let k = -125 - -135. Let l(i) = 2*i**2 - 21*i - 1. Calculate l(k). -11 Let k(p) = -11*p**2 + 3*p**2 + 8 + 7*p + 2 + p**3. Let s(t) = -8*t**2 + 41*t + 2. Let n be s(5). Determine k(n). 10 Let f(k) be the second derivative of k**4/12 + 2*k**3/3 + 5*k**2/2 - 103*k. Determine f(-2). 1 Let q(w) = w**2. Let h(j) = -7*j**2 + j - 2. Let r(d) = -h(d) - 6*q(d). Calculate r(3). 8 Let u(t) = -t**3 - 27*t**2 + t + 74. Let q(f) = 6*f**3 + 136*f**2 - 7*f - 371. Let i(o) = -2*q(o) - 11*u(o). What is i(25)? 3 Let u(t) be the third derivative of -1/120*t**6 + 1/12*t**5 - 5/6*t**3 - 1/12*t**4 - 24*t**2 + 0*t + 0. What is u(4)? 3 Let k = -3 - -16. Let i be (k - 12)/((-1)/(-5)). Let r(h) = -2*h**2 - h. Let y(z) = -4*z**2 - 3*z. Let n(v) = i*r(v) - 2*y(v). Determine n(-2). -10 Let h(p) = 2*p**2 + p + 9. Let m(w) = 5*w**2 + 3*w + 26. Let d(u) = 8*h(u) - 3*m(u). Determine d(4). 6 Let h(s) = -s**2 - 6*s + 1. Let v be ((-9)/(-3))/((-3)/14). Let i = v + 13. Let r be i*1 + 7 + -9. What is h(r)? 10 Let z(o) = -o**2 - 3*o - 1. Let f(i) = 2*i**2 + 7*i + 2. Let p(c) = -6*f(c) - 13*z(c). Let m = 10 - 7. Let q be p(m). Let d(g) = g + 1. Calculate d(q). 2 Let n be (-171)/(-18) + ((-5)/2)/(-5). Suppose 12 = -4*i + 4*z, -z = 3*i - 5*z + n. Let y(h) = h**2 + 4*h - h - 5*h - 3. Calculate y(i). 5 Let h(j) = -j**3 + 8. Let b be h(0). Let p(c) = 0*c**2 + 2*c + 10 - 5*c - c**2 - 1 + 9*c. Calculate p(b). -7 Suppose 12 - 8 = 2*p. Suppose -2*l + 0*l + 4 = 0. Let a(y) = -6*y**l + 2*y**2 - y**3 - 4*y - y**2 - 1 + p. Determine a(-4). 1 Suppose -32*y - 8 = -36*y. Let n(t) = -4*t**3 - t**2 + t - 2. Determine n(y). -36 Let k(t) be the third derivative of -5/3*t**3 - 10*t**2 + 0 + 1/120*t**5 + 0*t**4 + 0*t. Let v(q) be the first derivative of k(q). Calculate v(0). 0 Let l(j) = j**3 - 3*j**2 - 4*j + 1. Suppose 3*s + 124 = -s - 4*c, 5*s + 183 = 2*c. Let i = s - -38. Give l(i). -11 Let h(i) be the third derivative of i**6/120 - i**5/60 - i**4/24 + i**3/6 - 14*i**2 + 4. What is h(0)? 1 Let i(y) be the third derivative of y**6/720 - y**5/30 - y**4/4 + 11*y**2. Let g(k) be the second derivative of i(k). Determine g(6). 2 Let x be (1 + -1)/(2/(-1)). Let s be x/2 + -4 + 3. Let w = -6 - s. Let y(g) = -g**3 - 5*g**2 - 2*g - 7. Give y(w). 3 Let q(v) be the third derivative of -v**5/60 + v**4/24 + v**3/6 + v**2. Let w be ((-2)/(-7) - 0) + 5/(1260/(-72)). Give q(w). 1 Let u = 15 + -10. Let v(r) = -3*r + u + 4*r - 3. Let j(p) = p**2 - 166*p + 1109. Let a be j(7). Determine v(a). -2 Let c(u) = 3*u**2 - 2*u - 3. Let v(q) = 1 + 13*q**2 + 14 + q - 26 - 8*q. Suppose 3*w = -10 - 17. Let a(g) = w*c(g) + 2*v(g). Calculate a(5). 0 Suppose -10*h = -3 - 27. Let a(c) = 6*c - 16 + 6 + 8 - 2*c. Calculate a(h). 10 Suppose 0 = -0*p - 3*p. Let s(a) be the first derivative of a**2/2 - 6*a - 8. Determine s(p). -6 Let b(j) = j - 1. Suppose -72 = 5*l + 58. Let r be 2 - (-4)/(-8)*l. Suppose -m = f, -r = -f + 3*m - 7*m. Determine b(f). -6 Suppose 3*n + 3*l = 147 - 12, n - 25 = 3*l. Let z(d) = 83*d - n*d - 37*d - 2. Calculate z(-2). -14 Suppose -z + 2*z = 2*a + 12, 3*z = -a + 8. Let c(h) = 5*h - 6*h - z + h**3 + 10*h**2 - 13*h**2. Give c(4). 8 Let m(p) = -p - 2 - 2 + 2 + 0*p. Let x be 5/1*(-1 - 0). Let l be 2/x + 10/25. Calculate m(l). -2 Let b(h) = -2*h + 3. Let g(j) = j - 7. Let c be g(9). Suppose 4*r + c = -14. Let t = r + 7. Determine b(t). -3 Let m(z) = z**3 - 177 + 3*z + 178 - 4*z + 5*z**2. Give m(-5). 6 Let o(p) = -p**2 - p - 1. Let s(m) = -5*m**2 - 4*m - 8. Let a(d) = -4*o(d) + s(d). Let i(c) = -2*c**2 - 87*c - 126. Let n be i(-42). Determine a(n). -4 Let c be 4/2 + 0/(-1). Let s(g) be the second derivative of g**4/12 - 4*g**3/3 + 4*g**2 + 29*g. Let k(z) = 1. Let p(i) = c*k(i) - s(i). Calculate p(5). 9 Let j(c) = 2*c - 32. Let a be j(17). Let m(o) = -a*o + 2 - o + 0 + o. Let w = -11 - -16. Calculate m(w). -8 Let r be ((-6 + 1)*1)/(45/(-54)). Let h(d) be the first derivative of -r - 4*d - 1/2*d**2. Calculate h(-4). 0 Let h be (-6)/(-9) + (-28)/(-3). Suppose p - 4*v = h, -p + 7 = -4*v + v. Let w(t) be the second derivative of t**5/20 - t**4/12 - t**3/3 + 285*t. Give w(p). -8 Let o(d) = 2*d + 3. Suppose 2*j - 15 + 9 = 0. Let i(h) = 3*h + 7. Let x(g) = j*i(g) - 7*o(g). Calculate x(3). -15 Let b(q) = q. Suppose 87*p - 4 = 85*p. Let y(g) = -3*g. Let s(w) = p*y(w) + 4*b(w). Calculate s(1). -2 Let p be (3 - 0) + 0 + -1. Let s(d) be the first derivative of -4*d + 0 + p*d**2 - 3*d - d + 2. What is s(6)? 16 Let r be 3 - (-4 + 20/4). Suppose 2*a = -r*a. Let p(l) be the third derivative of -l**5/60 - 7*l**3/6 - 2*l**2. What is p(a)? -7 Let j be (-685)/411 + (-14)/(-3). Let t(d) = -2*d + 2. Let z(g) = 5*g - 5. Let f(o) = -14*t(o) - 6*z(o). Give f(j). -4 Suppose 3*g - g = -4. Let n(h) = h**2 - 5*h. Let m(w) = 21 - w**2 + w - 22 + 0*w**2. Let j(z) = 2*m(z) + n(z). Calculate j(g). 0 Let i = -4 - -1. Let k = i - -6. Let r(v) = -24*v + 5 + 23*v - 1 - k. Give r(-4). 5 Let w(h) = -h**2 + 15*h - 18. Suppose 0 = 7*s - 445 + 361. What is w(s)? 18 Let z(w) = 7*w + 96 - 183 + 89. Give z(-5). -33 Let u(a) = a**2 - 11*a - 13. Suppose 2 = b - 5*c - 0, 4*b = 5*c + 38
{ "pile_set_name": "DM Mathematics" }
-6)/22). -11 What is ((-1)/(-9))/(45*54/21870)? 1 Calculate (1/4)/((-3)/(-24)*336/(-28)). -1/6 What is the value of (-875)/840*8*6/(-10)? 5 What is the value of (8/(-504)*-18)/(-1)? -2/7 ((9639/(-630))/(2*6/20))/(-6) 17/4 What is the value of (600/240*4/75)/((-4)/42)? -7/5 Evaluate ((-175)/(-4))/(-7)*(-100)/(-500). -5/4 Calculate (7/(-4))/(130/40)*60/70. -6/13 What is the value of (-12180)/(-53592)*-1*8/(-5)? 4/11 Evaluate ((-6)/8)/((-66)/(-17600)*-20). 10 Calculate (-1863)/414*(-8)/(-12). -3 Evaluate ((58/(-4930))/(15/75))/(2/(-8)). 4/17 -8*(-13)/((-78)/9) -12 Evaluate ((-455)/315)/(52/(-48)). 4/3 What is (-10)/14*(-32)/80? 2/7 Calculate 18*(-1)/(-3)*342/(-76). -27 Evaluate 5317/(-409)*3/3. -13 Evaluate ((-25)/(-5))/((15*(-7)/399)/(-1)). 19 What is ((12*(-24)/(-63))/1)/(1674/5859)? 16 What is the value of 11/(-396)*-27*21/21? 3/4 What is 8/(-60)*60/8? -1 What is the value of -10*((-14)/12)/((-133)/(-285)*-5)? -5 What is the value of (-6)/304*-4*(-41)/((-123)/(-2))? -1/19 Evaluate (9/46)/3*10728/(-4023). -4/23 (-532)/(-114)*60/35 8 Calculate (-1)/2*6/(-57)*-19*17. -17 What is (35/(-14))/(28/280)? -25 (5/(45/6))/(((-1460)/(-30))/2) 2/73 ((-14)/(-7))/((80/10)/16) 4 Evaluate 28/(-2128)*-95*-2*(-4)/6. 5/3 ((-411)/(-137))/(2*10/(-4)) -3/5 Evaluate ((4/10)/(-1))/((-40)/73600*-46). -16 Calculate (-1372)/(-1078)*(-55)/15*6/4. -7 What is the value of ((266/(-112))/(-19))/((-2)/(-8))? 1/2 What is (-12)/8*((-8)/(-54))/(4/6)? -1/3 What is the value of (-15)/(-135)*3*25? 25/3 Calculate -1*3/(-3)*20/(1320/18). 3/11 Calculate (14/14*3)/((-3)/9). -9 What is the value of ((2/25)/(1/5))/(526/(-17095))? -13 (1/(-15))/((-43)/645) 1 What is the value of ((-2568)/2247)/(2/14)? -8 6*(-13)/78*(-20)/630 2/63 What is (18/88)/((-3)/(6*(-80)/(-30)))? -12/11 What is the value of ((-5040)/(-1050))/((-4)/10)? -12 What is the value of (18/108)/((-2)/6)*(-42)/105? 1/5 What is -6*4*(-4)/(-36)*75/(-20)? 10 169/(-1352)*(1/2)/(3/(-6)) 1/8 ((-36)/12)/((-6)/(-120)*4) -15 (4*4/168)/((-3)/14) -4/9 ((-672)/(-1960))/(-1*5/70) -24/5 (204/1020*-1*1)/(2/(-25)) 5/2 (-8)/3*(-60)/(-20)*(-2)/2 8 Calculate (90/(-18))/(5/35)*-1*1. 35 Calculate (-4)/(((-2)/7)/((-16)/28)). -8 What is 147/63*1/7? 1/3 What is 14/(-4)*(-1)/((-252)/(-432))? 6 What is the value of (7/(-14))/(12/4)*24? -4 Evaluate (-50)/250*(-10)/43. 2/43 What is the value of 78/(-676)*(-16)/(-3)*(-1)/4? 2/13 107/107*2/(-6)*2/(-2) 1/3 What is the value of ((-48)/108)/(672/(-1764))? 7/6 Calculate 20/(-45)*(-675)/(-30). -10 (-50)/125*(-3)/((-99)/(-5)) 2/33 Calculate ((-4)/24)/(1/(-3))*144/(-126). -4/7 (254/(-23114))/(2/(-14)) 1/13 Evaluate ((-6)/((-6)/5))/((-6)/(-6)). 5 What is ((-27)/(-3))/(45/(-3)*-1)*1? 3/5 What is ((-4)/(-245))/((-56)/700*(-35)/7)? 2/49 Calculate 6/(-42)*8*147/(-462). 4/11 What is the value of 1/1*7*(-36)/84? -3 What is (-10*13/(-39))/((-3)/((-3)/2))? 5/3 ((-650)/(-40))/65*8/6 1/3 What is 16/(-24)*9/(-42)? 1/7 What is (-72)/3*308/462? -16 What is (-44)/88*30/(-3)? 5 (-14)/(-14)*(-12)/6 -2 What is the value of ((-54)/(-3))/36*16/34? 4/17 What is 8*115/368*-2? -5 Evaluate (0/102)/(2/1). 0 What is (6/(-32)*-2)/(411/(-548))? -1/2 Evaluate ((-112)/32)/(2*(-6)/24). 7 Calculate ((-7)/((-70)/36))/(71/(140225/237)). 30 Calculate ((-11)/((-286)/(-91)))/((-1)/(-1)). -7/2 What is 1*2/(118/(-767)*(-2)/2)? 13 What is (-10)/(-60)*-3*378/(63/(-7))? 21 Evaluate 14*(42/(-385))/((-133)/(-95)). -12/11 (-10)/4*((-13)/39)/((-20)/12) -1/2 Evaluate 812/11368*((-2)/(-27))/(1/6). 2/63 (156/819)/(((-18)/(-8))/((-21)/(-8))) 2/9 What is the value of 70*55/(-165)*12/14? -20 Calculate ((-32)/(-40))/(88/55). 1/2 What is the value of (-17*162/1836)/(-6*(-1)/(-92))? 23 Calculate (-3)/1*(-215)/(-258). -5/2 (-5)/(285/38)*39 -26 ((-418)/38)/22*(20*2)/(-1) 20 What is the value of 32/14*(-4)/(-6)*3003/572? 8 Evaluate (-60)/(-300)*(-3)/6*-30. 3 Calculate ((-168930)/24401)/(6/(-26)). 30 Calculate ((-10)/(-20))/((-1)/2)*-11. 11 Calculate -4*6*5/(-120). 1 6/3*9/((-270)/(-2)) 2/15 What is ((-3857)/(-6061))/((-2)/(-22))? 7 What is (-4)/(-8)*-1*(-56)/(-252)? -1/9 What is (15*(-1)/(-4))/((-1340)/5360)? -15 Calculate (75/(-1175))/(242/88*(-6)/11). 2/47 (-6)/136*1*16/132*-11 1/17 (-2)/(-1)*((-1050)/25)/42 -2 Calculate (4/1)/(-2)*-37*(-28)/6734. -4/13 What is the value of (-9)/95*930/558? -3/19 What is ((-10)/7)/(735/(-1029))? 2 What is the value of (-1)/((-14)/378*(-1)/(-1))? 27 What is -18*3*(-1)/5*31450/(-9435)? -36 What is the value of ((-456)/(-532)*21/99)/((-2)/4)? -4/11 1*-9*(-644)/(-966) -6 Evaluate (((-324)/(-405))/((-28)/10))/(36/(-6)). 1/21 ((-103)/((-36256)/(-320)))/(8/22) -5/2 What is (-215)/129*(-465)/(-25)? -31 390/(-2730)*(-7)/11 1/11 What is (42/70)/((18/4)/3)? 2/5 Evaluate ((-364)/208)/(4/16). -7 What is -6*12/(-32)*(-65)/(-1170)? 1/8 Calculate 112/(-128)*(-106)/371. 1/4 Evaluate 14/(-60)*70*(-6)/(-7). -14 What is 1*(-15)/(-30)*(320/(-15))/4? -8/3 Evaluate (-208)/26*15/4*18/81. -20/3 What is the value of (-14)/49*-3*70/(30/(-15))? -30 Calculate ((-6)/2)/(2*(-7)/28). 6 Calculate 5880/1372*(-28)/6. -20 What is the value of (20/(-6)*1)/(26/(6864/(-220)))? 4 Evaluate 3/(-3)*(-86)/(-946). -1/11 What is the value of -6*-3*(124/(-465))/(6/(-10))? 8 What is the value of (22/(-8))/(176/(-64))? 1 (-381)/(-254)*((-96)/9)/(-4) 4 Evaluate (-1260)/(-168)*(-66)/(-45). 11 ((-4)/(-7))/((-1500)/(-3150)) 6/5 Calculate 70*35/1960*6/35. 3/14 8/((-9)/((-63)/(-14))*7/7) -4 What is the value of ((-88)/32)/(3/(-12))? 11 Evaluate 8/(-5)*1620/(-432). 6 Calculate -12*((-15)/6)/(9*2/(-9)). -15 Calculate 44/((-5)/(-25*(-6)/120)). -11 What is (-26)/(-117)*15/34*12/10? 2/17 (-5*1/(-4))/((-351)/8424) -30 What is the value of (-10)/2*(2/(-10))/((-4)/(-28))? 7 What is the value of (6/13)/(-5*27/(-5265))? 18 What is (-22*34/(-187))/((-6)/15)? -10 What is the value of ((-6)/28)/((-297)/693)*0? 0 Evaluate (-57)/(-38)*(-34)/1*6/18. -17 What is the value of (((-24)/(-135))/((-30)/75))/(-2)? 2/9 Calculate 283/(-566)*3*(-39)/(-9). -13/2 Calculate 2/(-4)*-1*(4921/76)/37. 7/8 Evaluate 8/5*495*8/288. 22 Calculate (4/(-42)*-7)/(9*28/(-4914)). -13 Evaluate (-125)/(-800)*16*16/(-2). -20 What is ((-16)/112)/(((-117)/1547)/(-9))? -17 Evaluate (3*2/(-30))/(30/210). -7/5 ((-60)/300)/((-4)/360*3) 6 (37/(1776/45))/(15/10) 5/8 What is 39/((-8619)/(-26))*1*3/(-3)? -2/17 ((-69)/138)/((-2)/56) 14 What is the value of (6/3)/((48/30)/((-946)/(-215)))? 11/2 Evaluate (1/1*-6)/((-24)/((-48)/6)). -2 (-12100)/(-1100)*5*(-1)/11 -5 What is (-4)/(-2)*(-8)/((-576)/900)? 25 What is (4/(-8))/((-14)/476)? 17 Calculate ((-168)/60*(-2)/14)/(2/(-4)). -4/5 (-60)/(-2)*(-9)/189*-14 20 What is the value of (1710/76)/(-3)*1/12? -5/8 Calculate (6/(-4)*16/60)/(1/(-20)). 8 Calculate ((-15)/(-12))/(-1)*-13*184/(-598). -5 Calculate ((-28)/(-7))/(5/(-20)*-10*-1). -8/5 What is the value of ((-16)/(-3))/(30/(-45))? -8 Evaluate (48/15)/((-4)/((-12)/(-3))). -16/5 Evaluate (-4)/(-50)*((-17)/(34/(-20)))/(-6). -2/15 Evaluate (6/130)/((-96)/(-208)). 1/10 What is (-56)/(-63)*3*(-5)/60? -2/9 (13/20)/(571/11420) 13 Calculate (21/18*117/(-182))/(189/(-144)). 4/7 What is the value of (-2)/15*(-150)/140*105/50? 3/10 What is the value of ((-7)/56*4)/((-9)/(-36))? -2 What is the value of 2*((-110)/3630)/(1/18)? -12/11 Calculate (((-19)/76)/(10/(-24)))/((-4)/(-2)). 3/10 Calculate (1/20)/((-142)/(-568)). 1/5 (((-81)/(-84))/(-9))/((-14)/((-1232)/(-198))) 1/21 What is ((-5)/((-9)/450*-5))/2? -25 Calculate 16282/1163*(-11)/(-7). 22 Evaluate ((-12)/(-2))/(-1)*(-240)/(-480). -3 What is the value of (((-24)/54)/((-16)/60))/((-7)/(-7))? 5/3 Evaluate (60/(-16))/((-620)/(-2976)). -18 What is the value of (-63)/(33264/32)*-9*3? 18/11 What is 1/(-33)*(-1209)/806? 1/22 Evaluate (8/21)/(6840/(-2565)). -1/7 What is -2*2/52*(-31)/((-1488)/144)? -3/13 Evaluate 12/29*(-270)/1620. -2/29 Calculate (416/(-104))/((12/152)/(-3)*4). 38 What is (-1)/((-4)/(-28))*-3? 21 What is the value of (156/9)/(90/(-15)*(-19)/171)? 26 Evaluate (-22*(-42)/(-1617))/(1/(-14)). 8 (10*18/720)/(8/4) 1/8 Calculate (((-2)/4)/(1/3))/(235/(-3290)). 21 Evaluate (7/35*-1*6)/((-396)/2640). 8 What is the value of (-67)/804*24/2*17/1? -17 (-110)/3135*19*-2*24 32 What is the value of (-84)/(168/8)*3/4? -3 What is (34/340*-65)/(-26)? 1/4 What is the value of (-14)/78*7668/(-4473)? 4/13 Evaluate 184
{ "pile_set_name": "DM Mathematics" }
/(-9). Let s = -346568 + b. Round s to the nearest one million. 0 Let o = -247.2 + 5.2. Let m = o + 242.0302. Round m to 3 decimal places. 0.03 Let x = 21947.57 + -22056. Let y = x + 109. Round y to 1 decimal place. 0.6 Let o = -4989 - -8694. Let d be 40/1*o/(-26). Round d to the nearest 1000. -6000 Let p = 654.5 + -654.499996991. Round p to seven dps. 0.000003 Let w = -480.903440472 + 481.81344. Let y = w - 0.91. Round y to 7 dps. -0.0000005 Suppose 5*v - t - 1200246 = 3*v, 3*v + 3*t - 1800351 = 0. Let m = 1183121 - v. What is m rounded to the nearest ten thousand? 580000 Suppose -5*i + 285 = -3*a, 3*i - 462 = 5*a - i. Let d = a - -227. Round d to the nearest 10. 140 Let m = -0.02 + -22.48. Let o = 28 + m. Let w = 5.49999947 - o. Round w to 7 decimal places. -0.0000005 Let x be (-1)/(2*(-5)/(-41530)). Let l = x + 2903. What is l rounded to the nearest one hundred? -1300 Let k(s) = -2738*s + 56. Let t be k(-3). What is t rounded to the nearest one thousand? 8000 Let d = -675.86322 + 0.06322. Let b = 96.8 + d. Let s = b - -579.247. What is s rounded to two decimal places? 0.25 Let m = -43 - -21. Let n = -1028 + m. Let f be n*6*(-4)/4. What is f rounded to the nearest 1000? 6000 Let d = 18548.602 - 18567. Let z = -18.6 - d. What is z rounded to one decimal place? -0.2 Let u = 8.4 - 10. Let h = u - -1.9. What is h rounded to 0 dps? 0 Let a = -345.2 + 345.1993252. Round a to 4 decimal places. -0.0007 Let m = -0.6974 + -2.4496. Round m to one decimal place. -3.1 Let r be 2/7 + 54/7. Let s be (-281985)/(-6) + 20/r. What is s rounded to the nearest 10000? 50000 Let l = -0.037 + 50.037. Let m = -49.9904 + l. What is m rounded to three dps? 0.01 Let g = 665 - 681.28. Let u = 4.76 - g. Let l = u - 22. What is l rounded to 1 dp? -1 Let i = -31135006.94999715 - -31135006. Let q = 0.95 + i. Round q to seven dps. 0.0000029 Let y = -298.7111 + 299. Round y to two decimal places. 0.29 Let m(s) = 13*s**3 - 13*s**2 + s + 2. Let o be m(-11). Let r = -149115 + o. What is r rounded to the nearest ten thousand? -170000 Let y be 240/(-100)*5/(-2). Suppose y*p = p - 565. What is p rounded to the nearest 10? -110 Let y = 207 + -206.99904. Round y to 4 decimal places. 0.001 Let o = -11861.0700192 - -11861. Let z = o - -0.07. Round z to 5 dps. -0.00002 Let f = -6837.49 + 6776. Round f to the nearest ten. -60 Let k = 376 - 376.08368. Round k to two decimal places. -0.08 Let h = -115.939 - -116. Let k = -0.03 + h. Round k to two dps. 0.03 Let h = 211 - 214.6. Let u = 7.25 - 10.8475. Let j = h - u. What is j rounded to 3 dps? -0.003 Let d be 3034*((-9)/18 + -1). Round d to the nearest 1000. -5000 Let v be ((-18)/(-8))/(4/(-32)). Let j be ((-10)/(-45))/((-2)/v). Let z be j/(-4) + 13199999/(-2). Round z to the nearest one million. -7000000 Let j(f) = -4*f**2 - f + 16. Let v(q) = 4*q**2 + 2*q - 15. Let p(m) = 2*j(m) + 3*v(m). Let a be p(-6). What is a rounded to the nearest ten? 110 Let r be ((-1773)/(-12)*-1)/(15/(-1200)). Round r to the nearest 1000. 12000 Let t = -71.71675284 - 7.28328456. Let w = t - -79. Round w to 6 decimal places. -0.000037 Let g = 14 - -39. Let i = -53.5921824 - -0.5921284. Let w = g + i. What is w rounded to 5 decimal places? -0.00005 Suppose 509 = -4*p - 2423. Let g = p - -1473. What is g rounded to the nearest 100? 700 Let y = -1.74 + 12.64. Let t = y - 10.9049. What is t rounded to three decimal places? -0.005 Let p = -0.3800076 - 37.6200124. Let c = p - -38. What is c rounded to five decimal places? -0.00002 Suppose -2*k - 3*l + 6 = -2*l, -l = 5*k - 18. Let o be 2/k + (-3260)/(-8). Let q = o + -8708. What is q rounded to the nearest one thousand? -8000 Let y(w) be the third derivative of 907*w**4/4 + 11*w**3/3 + 16*w**2. Let g be y(9). Round g to the nearest 10000. 50000 Let v = 10562.3 - 9692. What is v rounded to the nearest one hundred? 900 Let n = 38.00000051 - 38. What is n rounded to 6 decimal places? 0.000001 Let p = 104.98 + -4.26. Let w = 100.87 - 1.87. Let u = w - p. What is u rounded to one decimal place? -1.7 Let s(q) = q**3 + 24*q**2 - 112*q - 20. Let x be s(-28). Round x to the nearest one hundred. 0 Let d = 3.60755 - 3.5335618. Let l = d - 0.074. What is l rounded to six decimal places? -0.000012 Let j = -538189 + 538184.999992. Let o = -1 + -3. Let d = o - j. Round d to five dps. 0.00001 Let h = 496 + -498.6. Let c = 20463.39905 + -20466. Let j = c - h. What is j rounded to four decimal places? -0.001 Let s = -4241 + 4240.9976815. What is s rounded to five dps? -0.00232 Let f = 2957327 - 4865327. Round f to the nearest one hundred thousand. -1900000 Let r = 2.396 + 7.674. Round r to one decimal place. 10.1 Let m be (-7)/((-7)/(-2)) + 7. Suppose 0 = -m*h + 7*h - 500000. Round h to the nearest one hundred thousand. 300000 Let x = 0.3004 - 0.1494. What is x rounded to 0 decimal places? 0 Let f = -11.660000571 - -11.66. What is f rounded to seven decimal places? -0.0000006 Let y(j) = -j - 3. Let h be y(-6). Suppose -2*x + v - 21309 = 3*x, h*x + 5*v + 12791 = 0. Let i = x + -1738. What is i rounded to the nearest ten thousand? -10000 Let n = 209 - 207.91. Let s = n + 6.01. Let o = s - 7.099949. What is o rounded to 5 dps? 0.00005 Let b = 47.992 + -47. Let z = b + -1. What is z rounded to two dps? -0.01 Let v = -1345 + 1344.995315. Round v to four decimal places. -0.0047 Let j = 461544441.99999795 + -461544454. Let w = j + 12. Round w to seven decimal places. -0.0000021 Suppose n + n + 3*z = 2, -2*z = -2*n - 18. Let l = -2 - n. Let x(t) = -157*t**3 + 4*t**2 + t. Let k be x(l). What is k rounded to the nearest 1000? -4000 Let s = -7886 + 7872.732. Round s to the nearest integer. -13 Let g = 47.6 - 51.29. Let i = g - -3.8. Round i to one dp. 0.1 Suppose g - 3593 = -4*f, f + 10844 = 3*g - 0*f. Let u = g - 713. What is u rounded to the nearest 1000? 3000 Let a = -578.689944 - -579.03. Let c = -0.34 + a. What is c rounded to four decimal places? 0.0001 Let u = 845.1 + -810. Let t = -33 + u. Let f = t + 1.3. What is f rounded to 0 dps? 3 Let f = -14.089594 + 6.08969. Let v = f + 8. What is v rounded to five decimal places? 0.0001 Let d = 5 - -1. Suppose -4*y - 4*o - 940 = 0, -y - 4*o + 10 = 254. Let h be (-1875)/d*y*8. What is h rounded to the nearest one hundred thousand? 600000 Let c = 0.1416657 - 0.14252. What is c rounded to five dps? -0.00085 Let x(u) = -464443*u - 101. Let s be x(-7). Round s to the nearest one hundred thousand. 3300000 Let k = -12629.73 + 12578. What is k rounded to the nearest ten? -50 Let y = 2170 + -2179.86. What is y rounded to the nearest 10? -10 Let o = -3 + 0. Let l(h) = 8*h - 8*h - 3*h - 281*h**3 - h + 1. Let d be l(o). Round d to the nearest one thousand. 8000 Let n = -0.365208764 - -25.365217064. Let y = 25 - n. Round y to six dps. -0.000008 Let k = -88.4403 + 899483.4403. Let s = k + -899394.6499924. Let t = s + -0.35. Round t to six decimal places. 0.000008 Let b = -36.6 - -33. Let z = b - 0. Let p = 3.6232 + z. Round p to 3 decimal places. 0.023 Let l = 13285.9 + -14683.84. Let x = -1403.93938 - l. Let y = -6 - x. What is y rounded to 4 decimal places? -0.0006 Let q(l) = -2127572*l - 576. Let k be q(-8). Round k to the nearest 1000000. 17000000 Suppose 0 = 3*t, -3 = -s - 0*t - t. Let w = s - -1. Suppose 6*r = 2*g + 3*r - 66, -r - w = 0. What is g rounded to the nearest ten? 30 Let c = -684.999358 - -685. What is c rounded to 4 decimal places? 0.0006 Let n = 41513 + -41516.99992. Let r = n + 4. What is r rounded to four decimal places? 0.0001 Let a = -23.456 - -23.2. What is a rounded to two decimal places? -0.26 Suppose 2*j - 4472 = -2*j - 2*c, -2*c - 3347 = -3*j. Let k = j + -484. Let l = k + -1133. What is l rounded to the nearest 100? -500 Let z = -31646170 - -20005084. Let c = -11641085.70000036 - z. Let n = c - 0.3. What is n rounded to 7 dps? -0.0000004 Let j = 166006 - 166005.8900455. Let v = j + -0.11. Round v to 5 decimal places. -0.00005 Let i = 91.9234 + -92. What is i rounded to two dps? -0.08 Let u = 1552 + 4278. What is u rounded to the nearest 100? 5800 Let h = -2 - -2.06. Let n = 331 - 331.05928. Let a = h + n. What is a rounded to four dps? 0.0007 Let g = -56.12 - -1.12. Let k = 55.72 + g. Round k to 1 decimal place. 0.7 Let v(t) = 284385*t + 5. Let p be v(-3). Let h = p + 393150. Rou
{ "pile_set_name": "DM Mathematics" }
ify 6*((sqrt(68) - (-5 + (sqrt(68) - (1*sqrt(68))**2))) + sqrt(68)). 12*sqrt(17) + 438 Simplify (((sqrt(68) - (sqrt(68) - 1*sqrt(68)))/sqrt(4))**2 - sqrt(17)) + 1*sqrt(2057). 17 + 10*sqrt(17) Simplify sqrt(19) + sqrt(171) + 0 + sqrt(19) - sqrt(76)/(sqrt(4)*1). 4*sqrt(19) Simplify (sqrt(320) + 2*sqrt(320))/(-3*(sqrt(4) - sqrt(4)*-1)). -2*sqrt(5) Simplify (sqrt(7) - sqrt(42)/sqrt(6)) + 3 - (sqrt(70)/(sqrt(40) - sqrt(10)) - sqrt(7) - sqrt(7))**2. -4 Simplify (sqrt(10)/(1*sqrt(2)))**2 + (sqrt(720))**2. 725 Simplify sqrt(768) + (4 + sqrt(6)/sqrt(2))**2. 19 + 24*sqrt(3) Simplify 4 + -4 + -4 + (sqrt(20) + sqrt(5))**2. 41 Simplify (-5*1*sqrt(91))/(sqrt(7) - (sqrt(35)/(sqrt(15)/sqrt(3)) - sqrt(7))). -5*sqrt(13) Simplify (sqrt(119)*-2)/sqrt(7) - ((-1 + sqrt(17))**2 + -3). -15 Simplify -2*sqrt(343)*-2*-1. -28*sqrt(7) Simplify (6*(1 + sqrt(432) + sqrt(432)) - (4 + -1*sqrt(432)))**2. 624*sqrt(3) + 73012 Simplify -2 + -2*sqrt(5) - (sqrt(5) - (sqrt(605) + 1)**2). 19*sqrt(5) + 604 Simplify ((sqrt(3) - (sqrt(192)/sqrt(4) - sqrt(3))) + sqrt(3) + (sqrt(3) + 0 + sqrt(3) + 2 + sqrt(3) + sqrt(3) - sqrt(3)))**2. 8*sqrt(3) + 16 Simplify ((sqrt(11) - sqrt(44)) + 0 + 1)*-1. -1 + sqrt(11) Simplify ((sqrt(100)*-2)/sqrt(5))/((sqrt(30) + sqrt(270) + sqrt(30) + sqrt(30))/sqrt(3)). -sqrt(2)/3 Simplify -4 + sqrt(13) + (sqrt(117) - sqrt(13)) - sqrt(156)/sqrt(48). -4 + 5*sqrt(13)/2 Simplify 5*1*(sqrt(18) + -1) + -2. -7 + 15*sqrt(2) Simplify sqrt(21)/sqrt(3)*5 - ((sqrt(112))**2 + -1). -111 + 5*sqrt(7) Simplify (sqrt(25)/sqrt(5))**2*-5*-6*6. 900 Simplify (sqrt(189) + (sqrt(189) - ((1*sqrt(189) - sqrt(189)) + sqrt(189))) + sqrt(189) + sqrt(189))/(-5*-2*sqrt(7)). 9*sqrt(3)/10 Simplify (sqrt(108)*5)/(sqrt(288)/sqrt(3)). 15*sqrt(2)/4 Simplify ((3*sqrt(55))/sqrt(11) + -1)**2 + -4. -6*sqrt(5) + 42 Simplify (sqrt(22)/sqrt(18) - sqrt(11)) + sqrt(11) + (6*sqrt(22)/sqrt(2))**2. sqrt(11)/3 + 396 Simplify (2 + 0 + sqrt(3) + -4)**2 - 1*(0 + sqrt(432)). -16*sqrt(3) + 7 Simplify 1*(sqrt(637)*-5 + -1). -35*sqrt(13) - 1 Simplify 3*(sqrt(36)/sqrt(192))**2*-5. -45/16 Simplify 2 + sqrt(68)/(sqrt(64) + sqrt(4)) + -4. -2 + sqrt(17)/5 Simplify ((sqrt(152) + 2*sqrt(152) + sqrt(38))/(sqrt(16)/(-2*sqrt(8)) - sqrt(2)))**2. 3724/9 Simplify (sqrt(153) - sqrt(153)*1)/sqrt(9) + (4*sqrt(34))/sqrt(2). 4*sqrt(17) Simplify ((-2*sqrt(640) - sqrt(10))/(sqrt(2) - sqrt(8)/sqrt(4)*3))**2 + -1. 1441/4 Simplify -2 + sqrt(2) + sqrt(16)/(sqrt(24)/sqrt(3)). -2 + 2*sqrt(2) Simplify sqrt(35)/(sqrt(7) + sqrt(7) + sqrt(2268)). sqrt(5)/20 Simplify 0 + 2 + 4*sqrt(11). 2 + 4*sqrt(11) Simplify -3 + (sqrt(30)*2 - sqrt(30) - sqrt(30))/sqrt(10). -3 Simplify sqrt(68)/(sqrt(48)/(-1*sqrt(12))). -sqrt(17) Simplify sqrt(19) + 0 + sqrt(19) + 1 - (sqrt(19) + -3 + 0 + sqrt(19)). 4 Simplify (sqrt(49)/(5*sqrt(28)))**2. 7/100 Simplify (-1*sqrt(170)*3 - sqrt(170))/((sqrt(120)*1 + sqrt(120))/sqrt(12) + sqrt(10)). -4*sqrt(17)/3 Simplify sqrt(55)/(sqrt(704) + sqrt(704)*-2). -sqrt(5)/8 Simplify ((5*sqrt(99))**2 - sqrt(11)) + sqrt(11) - sqrt(66)/sqrt(96) - (3*sqrt(88)/(sqrt(24)/sqrt(3)))**2. -sqrt(11)/4 + 2376 Simplify (-1 + sqrt(3)*-2 + 5)**2. -16*sqrt(3) + 28 Simplify (-3 + sqrt(612) + 0)*1. -3 + 6*sqrt(17) Simplify (-4*(sqrt(432) - (sqrt(432) + -1)) + -1)**2. 25 Simplify (((sqrt(119) + -2*sqrt(119))*-2)/(sqrt(7) - sqrt(21)/sqrt(48)))**2. 1088/9 Simplify (sqrt(162) - (sqrt(162) + 0))*-2 + 4. 4 Simplify -2 + 4 + sqrt(7) + -2 + sqrt(7) + 0. 2*sqrt(7) Simplify 0 + sqrt(228)/(sqrt(48)*-3). -sqrt(19)/6 Simplify 4 + 2 + sqrt(13) - (sqrt(13) + 3 + 3). 0 Simplify (1*(sqrt(110) - 3*sqrt(110)))/(sqrt(60)/sqrt(6)*-3). 2*sqrt(11)/3 Simplify sqrt(4)/(sqrt(6)/sqrt(3)*1) + -5 + 1 + sqrt(200). -4 + 11*sqrt(2) Simplify -1*(0 + sqrt(99) + sqrt(220)/sqrt(5))**2. -275 Simplify (sqrt(147) + -1 + sqrt(147) + 0 - -4*sqrt(147)*1)**2. -84*sqrt(3) + 5293 Simplify (-1 + sqrt(112))**2*-6*6. -4068 + 288*sqrt(7) Simplify -3 + sqrt(432) + 2 + -4. -5 + 12*sqrt(3) Simplify -3 + (-2 + sqrt(19) - sqrt(19)) + (sqrt(304) + (sqrt(304) - (sqrt(304) + -2)))**2. 16*sqrt(19) + 303 Simplify (((sqrt(128) + 0)*-3 + -3)*-2)**2. 576*sqrt(2) + 4644 Simplify -3 + (2*sqrt(56))/sqrt(8). -3 + 2*sqrt(7) Simplify sqrt(66)/sqrt(96) - (sqrt(110) - (sqrt(110)*-1 + sqrt(110)))/sqrt(10). -3*sqrt(11)/4 Simplify sqrt(42)/sqrt(54) + (-2*sqrt(7) + 5)**2 + -3. -59*sqrt(7)/3 + 50 Simplify (sqrt(228)/sqrt(96))/(sqrt(18)/(sqrt(144) + sqrt(9) - sqrt(9))). sqrt(19) Simplify (6*(sqrt(136)*-2 - sqrt(136)) + sqrt(136))/(2*sqrt(128)). -17*sqrt(17)/8 Simplify sqrt(130)/sqrt(10) + -4 + sqrt(208)*-4 + sqrt(13). -14*sqrt(13) - 4 Simplify sqrt(2448)*-5 + -1*(sqrt(833) - sqrt(17)). -66*sqrt(17) Simplify sqrt(44)*-2*3 + 3. -12*sqrt(11) + 3 Simplify 3*(sqrt(2) + -4 + sqrt(72)). -12 + 21*sqrt(2) Simplify (sqrt(1872) + sqrt(1872) + 0 + -2)**2. -96*sqrt(13) + 7492 Simplify (sqrt(704)*-2 + -2)**2. 64*sqrt(11) + 2820 Simplify ((sqrt(21) + sqrt(21) + sqrt(756)*-4 + sqrt(21))/(-2*sqrt(12) - sqrt(3)))**2. 3087/25 Simplify 2*sqrt(50) + -4. -4 + 10*sqrt(2) Simplify -3*(2*-4*sqrt(130))/sqrt(10). 24*sqrt(13) Simplify 6*(sqrt(1008) + sqrt(1008)*3 - sqrt(1008))*-6. -1296*sqrt(7) Simplify 3 + -1 + sqrt(7) + 1. sqrt(7) + 3 Simplify 5*(sqrt(80)/sqrt(2))/sqrt(8). 5*sqrt(5) Simplify sqrt(605) + -2 + -5 - (sqrt(605)*-2 + -1). -6 + 33*sqrt(5) Simplify 6*(sqrt(3) - sqrt(3)*3)*1*6. -72*sqrt(3) Simplify sqrt(847) + 2 - sqrt(28)/sqrt(4)*-4. 2 + 15*sqrt(7) Simplify ((sqrt(120)/sqrt(5))/sqrt(12) + -5*2*sqrt(2))**2 + 4. 166 Simplify sqrt(200)*1 + -5 - ((sqrt(200) + 0 + sqrt(200))*2)**2. -3205 + 10*sqrt(2) Simplify sqrt(9)/(sqrt(3)*-1) - (2*sqrt(432))**2. -1728 - sqrt(3) Simplify ((sqrt(120)/sqrt(2))/sqrt(2))/(sqrt(12)/(sqrt(10)/sqrt(5))). sqrt(5) Simplify -3*(1 + 0 + sqrt(405) + (sqrt(5) - sqrt(180)*-2)). -66*sqrt(5) - 3 Simplify ((sqrt(187) - (sqrt(187) - 1*-2*sqrt(187)))/(-1*2*sqrt(11)))**2. 17 Simplify 0 + (sqrt(3) + -1)**2*-6. -24 + 12*sqrt(3) Simplify 1 + ((sqrt(3400)*1 - sqrt(3400))/(sqrt(32)*-1))**2. 1 Simplify -4*(-3 + sqrt(200)*2 - sqrt(200))**2. -836 + 240*sqrt(2) Simplify (sqrt(25) - (sqrt(50)/(sqrt(8)/sqrt(4)) - sqrt(25)))/sqrt(5) + -2. -2 + sqrt(5) Simplify (sqrt(34)/sqrt(8))**2 - (sqrt(17) + ((sqrt(170) + 2*sqrt(170))/sqrt(10) - sqrt(17))). -3*sqrt(17) + 17/4 Simplify (1*sqrt(3900))/sqrt(3). 10*sqrt(13) Simplify (-4 + sqrt(162))**2 - (sqrt(88)/sqrt(11))**2. -72*sqrt(2) + 170 Simplify ((sqrt(36)/(-2*sqrt(4)) + sqrt(9))/sqrt(3))**2 + -4. -13/4 Simplify -1 + sqrt(425) + -2. -3 + 5*sqrt(17) Simplify (sqrt(2)*-1 + -5 - 2*sqrt(72))*1. -13*sqrt(2) - 5 Simplify 4*4*sqrt(5)*3. 48*sqrt(5) Simplify sqrt(2) + 1*sqrt(98) + 2. 2 + 8*sqrt(2) Simplify (sqrt(108) + (6*(1*sqrt(108) + sqrt(108)) - sqrt(108)) - sqrt(108))/((sqrt(99)*-1 - sqrt(99))/sqrt(11)). -11*sqrt(3) Simplify (-2*sqrt(27) + sqrt(96)/sqrt(2))**2. 12 Simplify (sqrt(400)/(sqrt(10) - -2*sqrt(10)))/((-3*sqrt(96))/sqrt(12) + sqrt(8)). -sqrt(5)/6 Simplify -3 + -5 + (sqrt(1872) + 2)**2. 48*sqrt(13) + 1868 Simplify (-6*(sqrt(2736) + -1*sqrt(2736)))**2. 0 Simplify (0 + sqrt(5) + 0 - sqrt(5) - (2*sqrt(45))/sqrt(9))*2. -4*sqrt(5) Simplify -4 + 5*(3 + sqrt(1872) - sqrt(1872)). 11 Simplify 3*5*(-1 + sqrt(2057)). -15 + 165*sqrt(17) Simplify 5*-2*((-1 + -1 + sqrt(72))**2 + sqrt(72)). -760 + 180*sqrt(2) Simplify -3*sqrt(33)/sqrt(3)*6. -18*sqrt(11) Simplify (-2*sqrt(102))/sqrt(6)*3. -6*sqrt(17) Simplify 3*(sqrt(190) - (sqrt(190) + (sqrt(190)*4 - sqrt(190))))/sqrt(10)*5. -45*sqrt(19) Simplify -2*sqrt(153) - -6*(-1 + sqrt(17)). -6 Simplify (sqrt(102)*-1*-1)/sqrt(6) - (-4 + sqrt(17)*2 + 3). -sqrt(17) + 1 Simplify (sqrt(28)/sqrt(4))**2 + 2 - (sqrt(448) + 2). -8*sqrt(7) + 7 Simplify sqrt(68) + -3 + 0. -3 + 2*sqrt(17) Simplify sqrt(51)/(sqrt(9)/sqrt(3))*-6. -6*sqrt(17) Simplify (-1 + sqrt(1728) + 5)**2. 192*sqrt(3) + 1744 Simplify (sqrt(343)*3 + 5 + 5)**2. 420*sqrt(7) + 3187 Simplify (sqrt(468)/(sqrt(9) - sqrt(144)))/(2*sqrt(4)*3). -sqrt(13)/18 Simplify sqrt(60)/sqrt(3) + (sqrt(20) - (sqrt(20) + -1)). 1 + 2*sqrt(5) Simplify (sqrt(931)*-2*-2 + 4 + 1 + sqrt(931))**2. 350*sqrt(19) + 23300 Simplify 2*sqrt(18)*6*-2. -72*sqrt(2) Simplify -4 + (2 + sqrt(117)*1)**2. 12*sqrt(13) + 117 Simplify (sqrt(77)/(sqrt(11)*4))**2*3. 21/16 Simplify (sqrt(176)*-3)**2 + -5 + sqrt(176) + 4*sqrt(176)*-1 + sqrt(176). -8*sqrt(11) + 1579
{ "pile_set_name": "DM Mathematics" }
16? False Suppose 123*q - 1312850 = 46*q. Does 233 divide q? False Let n = -116909 - -194194. Does 41 divide n? True Suppose -4*t + 3*z + 8143 = -2*z, t + z = 2029. Suppose 3*f - 5*r - 879 - 674 = 0, -4*f + t = 3*r. Is 73 a factor of f? True Let m(r) = 8*r - 12. Let u be 13 + (8 - 5 - 5). Does 3 divide m(u)? False Let l = 3 + -4. Let q = -342 + 367. Is (-3 + l + q)/1 a multiple of 16? False Let s = 3 - 3. Suppose s = -p, v - p = -0*v. Suppose 0 = -5*t - 4*g + 200, 3*g = -v*g - 15. Is 11 a factor of t? True Is 9 a factor of 336/(-48) - 5/(-1)*2358? False Does 39 divide ((-2)/4)/(12 - 10) - 1220109/(-132)? True Suppose -4*j + z + 175545 - 31147 = 0, 3*z = -2*j + 72220. Is 56 a factor of j? False Let o = 102 - 98. Suppose o*h - 10 = -46. Does 2 divide (-6)/4*60/h? True Let r(u) = 2*u**2 - 7*u + 23. Let t be r(-17). Suppose -t = -47*p - 250. Is 2 a factor of p? True Let b(y) be the third derivative of y**6/120 + y**5/30 + 13*y**4/24 - 8*y**3/3 - 158*y**2. Does 13 divide b(8)? True Suppose 0 = -5*d - 4*q - 478, -2*d - 4*q - 148 - 48 = 0. Let y = 144 + d. Is y a multiple of 10? True Suppose 5 = 7*k + 12. Let n(b) = b**2 - 1. Let p(g) = -4*g**2 + 10*g + 15. Let j(v) = k*p(v) - 2*n(v). Is j(-7) a multiple of 13? False Suppose -o - m + 1975 = m, 7885 = 4*o + 5*m. Is 7 a factor of o? False Suppose 2*n + m + 5 - 15 = 0, 2*n + 5*m - 26 = 0. Suppose -4*u - 842 = 5*r, -u = -n*u - 2*r - 422. Let v = u - -375. Is v a multiple of 27? True Let r(l) = 2*l**2 - 9*l - 6. Let m be r(8). Let z = m + -51. Let d(p) = -207*p**3 + 3*p**2 + 3*p + 2. Is 13 a factor of d(z)? False Suppose 31*f - 28*f - 141 = 3*g, -f = 2*g + 103. Let p be (8/5)/((-2)/(-185)). Let i = p + g. Is 14 a factor of i? True Let f be (-40)/(-16)*2/5. Let z be ((-6)/21)/(f/(-287)). Is 3 a factor of z/10 + 3/(-15)? False Let q(u) = u**2 + 17*u + 91. Let a be q(-16). Suppose -28*d - 32759 = -a*d. Does 50 divide d? False Suppose 6*b = -5*b + 2*b + 175617. Does 47 divide b? False Let t(c) = c**2 + 10*c - 43. Let v = -103 + 90. Let z be t(v). Does 3 divide z/(16/12) + 8? False Let n(x) = 15*x**3 - 12*x**2 + 38*x + 4. Is n(7) a multiple of 15? False Does 13 divide -5 + 89404 - (-10 - -24)? False Let u(a) = a**3 + 8*a**2 + a + 1. Let r be u(-7). Let q = -48 + r. Is (26/q)/((-3)/30) a multiple of 13? True Let l(c) = -c**2 + 3*c - 2. Let j be l(10). Let r = 38 + j. Let q = r - -74. Does 40 divide q? True Suppose -3*m + 18255 = -3*s - 159, 5*s - 6132 = -m. Suppose -m = 7*t - 24*t. Is t a multiple of 19? True Suppose -3*c + 288 = 3*c. Let t = c + -46. Is 3 a factor of (-18 - (-4 + 1))/((-2)/t)? True Let p = 9334 - 8299. Is p a multiple of 18? False Let w be -2715 + 0 - (-4 - (-6)/6). Let a = -1676 - w. Does 28 divide a? True Let v = 4288 - 2768. Suppose 5*k = 2*d + 1520, 3*d - 6*d = -5*k + v. Suppose k = 7*o - 578. Is o a multiple of 26? False Suppose 0*j + 5*j + 3*p = 138, -p = -4*j + 124. Suppose 4*d - j = -2*k, -2*d + 0 = -4. Is k a multiple of 5? False Suppose -3*o - 4*j = -8956, j - 1605 = -3*o + 7366. Is 55 a factor of o? False Let b be (1164/(-8)*1)/(2/(-32)). Let q be b/(-14) - 12/(-42). Let g = -62 - q. Does 35 divide g? False Suppose 11*h - 28 = 18*h. Let r(g) = -g - 6*g - 2*g + 1 - 7 + 8*g**2. Is r(h) a multiple of 29? False Does 41 divide -9*(0 + 22148/(-42))? False Suppose -3*y = -4*t - 652, -5*y = 3*t - 3*y + 506. Does 3 divide (-18)/27 + t/(-6)? True Let c = 19355 - 13139. Is 28 a factor of c? True Suppose -41*k = -13*k - 84. Suppose -47*m + 45*m + k*i = -959, -5*i = 5*m - 2435. Is m a multiple of 11? True Suppose -5*k + 10 = 25. Let u(o) = -o**3 + o**2 + o - 14. Let c(d) = -2*d**3 - 5*d**2 - 3*d + 13. Let a(z) = c(z) + u(z). Is 10 a factor of a(k)? True Let h be (-13 - -9)*(-3)/6. Suppose m - 8 = -h*b, 2*m + 1 + 4 = 3*b. Does 13 divide ((-4563)/36)/(b/(-8))? True Suppose 0 = -17*p + 21*p + 5*q - 27882, -3*q + 27878 = 4*p. Does 19 divide p? False Let u(g) = -g**3 - g - 9. Let r be u(3). Let i = 576 - 411. Let d = i + r. Is 18 a factor of d? True Suppose 0 = 5*n + 47 - 32, -9791 = -2*v + 5*n. Is v a multiple of 47? True Let b = -1097 + 1634. Suppose 821 + b = 7*v. Does 64 divide v? False Let p be (-1188)/4*(0 + 66/18). Let m = 1899 + p. Does 62 divide m? False Let v(f) = -21*f**3 + 12*f**2 + 7*f + 10. Is v(-2) a multiple of 4? True Let m(p) = 61*p + 5. Suppose 5*l = 4*t + 14, -4*l = -2*t - t - 11. Suppose 2*z = y + l, -z + 0 = -4*y - 1. Does 22 divide m(z)? True Let v(y) = 7*y**2 + 3*y - 28. Let l(p) = -6*p**2 - 2*p + 28. Let t(x) = -6*l(x) - 5*v(x). Suppose 0 = -5*o + 11 - 56. Does 20 divide t(o)? True Suppose 2*a = -2*w + 486, -4*w + 558 = 3*a - 174. Let l = a - 53. Does 13 divide l? False Suppose -70*f + 69*f + 15 = 0. Let a(o) = -2*o**2 + 46*o + 16. Is 13 a factor of a(f)? False Let i(f) = -12*f + 25. Suppose -18*k + 19*k = -11. Does 31 divide i(k)? False Suppose -2*x = -x. Let u(k) = k**2 - 7*k + 19. Is 5 a factor of u(x)? False Let h be (-78)/(-16) - (-4)/96*3. Suppose -h*o - 686 = -1866. Is 10 a factor of o? False Let y(r) = 2*r**3 - 28*r**2 + 20*r - 42. Does 3 divide y(23)? False Let v = -2579 + 5728. Is 6 a factor of v? False Suppose -81*g + 74*g + 56 = 0. Suppose g*k - 665 = 3*k. Is 5 a factor of k? False Let z = 81430 - 58056. Suppose 9*v = -4*v + z. Is 102 a factor of v? False Suppose 0 = -2*y - w - 85 + 92, 2*y + 7 = w. Let b(m) = -66*m + 162. Let s(o) = -7*o + 17. Let u(j) = -5*b(j) + 48*s(j). Is 6 a factor of u(y)? True Let n be (1 - 2) + 12/8*226. Suppose 0 = 3*f + 5*y - 636, 3*f - 2*y - n - 298 = 0. Let x = -92 + f. Does 12 divide x? True Suppose -2*d + 106 = 2*t, -8*d - 167 = -4*t - 3*d. Let v = t + -7. Suppose 0 = 4*r - 63 - v. Is 14 a factor of r? False Let g(w) be the first derivative of w**4/4 - 2*w**3 + 7*w**2/2 + 481. Let c be (-5)/(-2)*4/2. Is g(c) a multiple of 10? True Suppose -20*c = -5*c - 2145. Suppose 25*j - c = 26*j. Is j/(2/(-2) - (3 - 3)) a multiple of 21? False Is 52 a factor of ((-12)/(-24))/(1 - 539934/539940)? False Suppose 100*m - 2062830 = 2335265 - 408095. Is m a multiple of 30? True Let j(b) = b**3 + 5*b**2 - 2*b. Let f be j(3). Let w = -64 + 248. Let o = w - f. Does 24 divide o? False Suppose -2*u = 4*k - 16516, 3*k = 73*u - 72*u + 12377. Is 23 a factor of k? False Let d(a) = 9*a**2 + 114*a - 196. Is d(8) even? True Let o(u) = 6*u + 126. Let d be o(21). Is 18 a factor of (d/(-10))/(19/(-190))? True Let g(z) = 22*z**3 - 5*z**2 + 7*z - 15. Is 7 a factor of g(7)? False Let c = 1 + 54. Let j = c - -2. Let x = j + 133. Does 22 divide x? False Suppose -4*z + 32 = -4*d + 2*d, -5*z = -4*d - 46. Let s be -2 + (14 - 4 - 6). Suppose s*v - 4 = -z, -v - 35 = -l. Is l a multiple of 11? False Let f = 35 - 34. Let g(c) = 178*c**3 + c**2 - c + 1. Let b be g(f). Suppose 2*y = 3*p + b, 5*p = -y - 0*y + 109. Is 38 a factor of y? False Let q be 30/(-25)*35/(-21). Suppose 875 = 4*n + 5*a, 17*a - 15*a = -q. Is n a multiple of 11? True Suppose 4*v = 5*x - 140, -18 = -2*x + 2*v + 36. Let j = 3599 + -3598. Let h = j + x. Is 11 a factor of h? True Let x = -1150 - -623. Let v = -511 - x. Is 6 a factor of v? False Suppose -14*d = -16*d + 50. Is 242/10*8/(40/d) a multiple of 11? True Let u(v) = v**3 + 44*v**2 - 86*v + 315. Does 23 divide u(-45)? False Suppose -14*l = -19*l. Suppose -4*h + 200 = 2*s, l = -h - s - 0 + 50. Does 12 divide h? False Let d(n) = n**3 + 8*n**2 - 6*n + 9. Let h be d(-8). Let q = -55 + h. Suppose 7*b = q*b + 55. Is 6 a factor of b? False Suppose -g + 140 - 23 = 0. Let f(v) = -2*v**2 - 19*v - 128. Let d be f(-5). Let t = g + d. Is t a multiple of 3? False Let u(j) = 241*j**2 - 1. Let r(o) = -o**2 + 10*o - 15. Let v be r(8). Is 16 a factor of u(v)? True Let r(p) = -8*p + 94. Let o be r(-27). Suppose -7*j = -12*j - o. Let t = j - -74. Is t a multiple of 5? False Suppose 3*p - 6*g + 2*g - 27 = 0, -5*p + g = -28. Suppose 0 = 5*s - p*d - 940, 0 = 2*s + 2*d - 424 + 52. Is s a multiple of 30? False Suppose 18605 = 5*q - 2*s, q + 79*s - 3721 = 81*s. Does 14 divide q? False Suppose k = 5*k - 5*f - 3, -f = 2*k - 5. Let i(t) = 54*t - 45. Does 6 divide i(k)? False Let h(q) = 2*q + 20. Let i be h(-6). Let d(g) = -2*g**2 + 40*g + 28. Let p be d(21). Is (-508)/(-7) + i/p a multiple of 37? False Suppose 0*g = 3*g + 6. Let f(m) be the first derivative of -31*m**2/2 + 8*m - 1
{ "pile_set_name": "DM Mathematics" }
v = -s - 1272621, 4*s - 4*v = 1696836. Let j(x) = 18508*x + 84. Let q be j(16). Let u = q - s. What is u rounded to the nearest 10000? -130000 Let a = 0.92289 + 0.09231. Round a to 1 dp. 1 Let b = -11.1 - -135.1. Let d = b - 123.8449. What is d rounded to two decimal places? 0.16 Let x = 23873910.04060424 - 23873909. Let j = x + -0.3906056. Let m = j - 0.65. Round m to seven dps. -0.0000014 Let o(g) be the second derivative of g**5/20 + g**4 - 5*g**3/3 + 34*g. Let y be o(-10). Let l be (0 + -17 + -4)*y. What is l rounded to the nearest 1000? -6000 Suppose -6 = -0*l + 2*l. Let p(x) = -2736*x + 12. Let o be p(l). Suppose 2*v - o = v. Round v to the nearest 1000. 8000 Let z = 1.1813 - 1.1841326. Round z to 5 dps. -0.00283 Let u be 15/5*3/9. Let d(v) = -263001*v + 2 - 1 + 0. Let o be d(u). What is o rounded to the nearest ten thousand? -260000 Let a = 76726.70753 - 76797.70752998. Let x = 70.5266 + 0.4734. Let z = x + a. What is z rounded to six decimal places? 0 Let r(s) = s**2 - 3*s + 6. Let a be r(6). Let f = a + -23. Let b be (20100002 - f) + (4 - 1 - 4). Round b to the nearest one million. 20000000 Let w(a) = 525528*a - 18168. Let l be w(6). What is l rounded to the nearest 10000? 3140000 Let t = -11.957 + -40.813. What is t rounded to 0 dps? -53 Let d = -9990 + -174580. What is d rounded to the nearest one hundred thousand? -200000 Let d = -0.112306 + -17.137994. Let n = -17.04 - d. Round n to two dps. 0.21 Suppose n - 116454 = -3*u + 4*u, -5*n - 5*u + 582260 = 0. Suppose -f + 51547 + n = 0. Suppose -d + f = 3*d. Round d to the nearest 10000. 40000 Let p = -6585 + 6650.39. What is p rounded to zero dps? 65 Suppose -19*q + 14 = -20*q. Let v be (24/q)/((-42)/(-2205)). Let n = 34 + v. What is n rounded to the nearest 10? -60 Let g = 12.398 + -12.39797983. Round g to five dps. 0.00002 Suppose 111529704 = 6*t + 18*t. Let n = t + 7602929. What is n rounded to the nearest one million? 12000000 Suppose 14*s - 124379 + 34513 = 0. Let r be (-1)/((-8)/8) + s. Round r to the nearest 1000. 6000 Suppose -3716972 = -10*o - 4*o. Suppose -102*g - x = -105*g - o, 2*g + 4*x = -177008. What is g rounded to the nearest 10000? -90000 Let z be 12/1*(-952)/(-51)*-130625. Round z to the nearest 1000000. -29000000 Let f = -39.6 + -0.4. Let y = 897.3 - 854. Let r = f + y. What is r rounded to one decimal place? 3.3 Let f = -53700024.014221 + 53700049. Let d = -0.016779 + f. Let w = 25 - d. What is w rounded to 2 dps? 0.03 Let d = -10113 - -10112.99898202. Round d to four dps. -0.001 Let q = 4142.2746 - 4141. Round q to one dp. 1.3 Let q(a) = -283*a**3 + 53*a**2 - 6*a + 61. Let c be q(4). Round c to the nearest one thousand. -17000 Let o = -104.11 + 0.11. Let t = -45610.0224 - -45714. Let m = o + t. What is m rounded to 3 dps? -0.022 Let g = 239 - 238.475. Let p = g - 0.08. What is p rounded to 1 decimal place? 0.4 Let l = 2119 + -2119.000000564. What is l rounded to six dps? -0.000001 Let c = -4.74 + 4.7591. Let s = -0.0189892 + c. Round s to 5 decimal places. 0.00011 Let g = 151.212 - 151.211917383. Round g to 5 dps. 0.00008 Let t = 1.4 - 2.442. Let h = -1.04201286 - t. What is h rounded to six dps? -0.000013 Let u = 2131.4003941 + -2131.4. Round u to five decimal places. 0.00039 Let r = -1022.24 + 1056.1. Round r to one dp. 33.9 Let d = 55346892 - 55346607.99979. Let m = 284 - d. Round m to four decimal places. -0.0002 Let m = -1014465 - -1014480.62663. Let g = 4552 - 4536.38. Let r = m - g. Round r to 4 decimal places. 0.0066 Let s = 52.279 - 69.5186. What is s rounded to the nearest integer? -17 Let p = 7.803 - 7.49. Let h = p - 0.45. What is h rounded to 1 decimal place? -0.1 Let p = 9.88 + -9.880394. What is p rounded to four decimal places? -0.0004 Let t = 10609.34822667 + -10128.3482294. Let f = -480.9334 + -0.0666. Let r = f + t. Round r to 7 dps. -0.0000027 Suppose -18*p - 3 = -19*p. Suppose -p*m + 9 + 9 = 0. Suppose 0 = -m*f - 0*f - 1476000. Round f to the nearest one hundred thousand. -200000 Let d = -9305.0001572 + 9305. What is d rounded to 4 decimal places? -0.0002 Let j = 3.293 - 3.36608. Let a = 3.671 - 3.6. Let b = j + a. Round b to 4 decimal places. -0.0021 Let w = -642 - -961. Let r = 267.2576 - -51.7726. Let m = r - w. Round m to 3 decimal places. 0.03 Let v = -11.178 - 18.058. Round v to one decimal place. -29.2 Suppose -8937 + 1962 = 5*q. Let g = q + 3516. Let i = g - 3371. Round i to the nearest 100. -1300 Let i = 17.3 - 86.3. Let l = -34 - i. Let b = l + -34.9964. Round b to three dps. 0.004 Let c(u) = -5*u**2 - 25*u - 17. Let g be c(-4). Suppose 0 = -g*l - 3291 + 672. What is l rounded to the nearest 100? -900 Let y = -1758.2 + 1758.1973606. Round y to 5 dps. -0.00264 Let q = 4461362 - 4461206.03928. Let o = 156 - q. What is o rounded to three decimal places? 0.039 Let h = 164.465 - -0.535. Let r = -165.000003883 + h. What is r rounded to six decimal places? -0.000004 Let p = -0.00996 + -233.09004. Let o = p - -222. Let k = 11.09813 + o. Round k to 4 decimal places. -0.0019 Let u = -8.62 - 2.08. Let s = u - -5.6. Let o = s + 3.6. Round o to one dp. -1.5 Let j = -118971.999756652 + 118972. What is j rounded to five dps? 0.00024 Let c be -13 + (-5949476)/(-195) + (-2)/15. Suppose 3*s + 4*r + 33378 = 0, 4*r + c = -4*s - 14011. Round s to the nearest one hundred. -11100 Let d = -6.99 - -5.73. Let a = d - 0.991. What is a rounded to 1 dp? -2.3 Let v = 29.2 + 0.8. Let b = -29.9595 + v. Let d = b - 0.0405669. What is d rounded to 5 dps? -0.00007 Let v = 106846 + -106845.9999902793. Round v to seven dps. 0.0000097 Let f = -498.15 + 498.127657. Round f to four dps. -0.0223 Let z = 1171.58602 - 1357.593. Let o = z + 186. What is o rounded to 3 dps? -0.007 Let v = -8176663 + 8176210.0353. Let j = v - -453. Round j to two dps. 0.04 Let a = 8999651064.99999922 + -8999650923. Let x = a - 142. Round x to 7 dps. -0.0000008 Let j = 38096 - 50010. What is j rounded to the nearest one thousand? -12000 Let p = -0.067231 - -5598.467231. What is p rounded to the nearest 100? 5600 Let x = 10.969 + 0.031. Let z = -11.00000148 + x. What is z rounded to six dps? -0.000001 Let s = 7063 - 7062.999990778. What is s rounded to six decimal places? 0.000009 Let j(s) = -2567*s - 536. Let x be j(-38). What is x rounded to the nearest 1000? 97000 Let l be 106/(-53)*(26629/(-2) - 1). Suppose 29*b + 4*b = -l. Round b to the nearest 100. -800 Let z = 23772 - 23773.1729. Round z to 1 decimal place. -1.2 Let x be 20/(-6)*(-180)/150. Let b = -22 - 10. Let i be 92792/b + (-1)/x. What is i rounded to the nearest one thousand? -3000 Suppose 21*p - 19*p = 4*b - 60991994, -2*p = -b + 15247994. What is b rounded to the nearest 100000? 15200000 Let s = -41.110022836 + 41.11. Round s to six decimal places. -0.000023 Suppose 0 = -2*o + 1628 - 240. Let c be o + (1 - (-8)/28*-7). What is c rounded to the nearest 100? 700 Let v = 1.125 - 1.26. Let o = -0.1350896 - v. What is o rounded to 5 decimal places? -0.00009 Let n = -0.4334 + -0.541. Round n to one decimal place. -1 Suppose -169*y + 170*y = 227360168. Let o be y/(-28) + 2*3. Round o to the nearest 1000000. -8000000 Let q = 2178.1 + -667.25. Let i = q + -1481. What is i rounded to 0 dps? 30 Let m be (-6)/10 + (-90)/(-25). Suppose 0 = -m*n + 400 + 11. Let a = -99 - n. Round a to the nearest ten. -240 Let o(d) = -200*d**2 + 62*d + 146. Let k(z) = -29*z**2 - z - 3. Let c be k(1). Let l be o(c). What is l rounded to the nearest 100000? -200000 Let t = -0.056114 - -0.056161982. Round t to seven dps. 0.000048 Let w = 0.05815 + 0.56935. What is w rounded to two dps? 0.63 Let j be ((-21)/(-6))/(2/48) - 3. Let d be (320*j/(-6))/(12/(-5000)). What is d rounded to the nearest 1000000? 2000000 Let m = 4443.569200716 + 0.002199284. Let r = m - 4444. What is r rounded to 2 dps? -0.43 Let f = 47.86524 - 0.02024. What is f rounded to zero dps? 48 Suppose 0 = -5*b + w - 60091, 2*b + 3*b + 60086 = -4*w. Let o be 6 - (2 + 1) - 93. Let l be (b/9 + 2)*o. Round l to the nearest 100000. 100000 Let f = -1640 - 13. Let w = -1652.94098 - f. Let b = -0.059 + w. Round b to four decimal places. 0 Let f = -605828376.9999342 - -605827714. Let w = -663 - f. What is w rounded to 5 dps? -0.00007 Let f = -26736500 - -26736499.59199518. Let s = 0.408 + f. Round s to 6 d
{ "pile_set_name": "DM Mathematics" }
3, -2362, -1361, -238, 1049, 2542? 7*d**3 - 2*d**2 + 878*d - 4166 What is the f'th term of -150711801, -301423606, -452135411, -602847216, -753559021, -904270826? -150711805*f + 4 What is the d'th term of 133598559, 133598555, 133598547, 133598535, 133598519, 133598499? -2*d**2 + 2*d + 133598559 What is the n'th term of 2992394, 5984740, 8977086? 2992346*n + 48 What is the w'th term of -2159, -1909, -1215, 145, 2393, 5751, 10441? 37*w**3 - 9*w - 2187 What is the t'th term of 111367128, 111367129, 111367130, 111367131, 111367132, 111367133? t + 111367127 What is the r'th term of -2328, -13980, -44350, -102798, -198684? -1560*r**3 + r**2 - 735*r - 34 What is the o'th term of -203664, -212226, -226504, -246504, -272232? -o**3 - 2852*o**2 + o - 200812 What is the r'th term of -37221, -297884, -1005429, -2383302, -4654949? -37241*r**3 + 5*r**2 + 9*r + 6 What is the y'th term of -1994, -1731, -1484, -1253, -1038, -839? -8*y**2 + 287*y - 2273 What is the h'th term of 1423, 7515, 17669, 31885? 2031*h**2 - h - 607 What is the r'th term of 23688, 94605, 212836, 378387, 591264? r**3 + 23651*r**2 - 43*r + 79 What is the l'th term of 67521653, 67521659, 67521665, 67521671, 67521677? 6*l + 67521647 What is the x'th term of 17532, 140266, 473406, 1122156, 2191720, 3787302, 6014106? 17534*x**3 - x**2 - x What is the o'th term of 589435, 589431, 589417, 589387, 589335, 589255, 589141, 588987? -o**3 + o**2 + 589435 What is the i'th term of 17, -471, -1487, -3049, -5175, -7883? -3*i**3 - 246*i**2 + 271*i - 5 What is the c'th term of -241540, -483063, -724590, -966121, -1207656, -1449195, -1690738? -2*c**2 - 241517*c - 21 What is the c'th term of 1952, 7783, 17466, 30971, 48268? -5*c**3 + 1956*c**2 - 2*c + 3 What is the a'th term of 1329, 5613, 12789, 22887, 35937, 51969, 71013, 93099? 5*a**3 + 1416*a**2 + a - 93 What is the o'th term of -29437934, -58875875, -88313816? -29437941*o + 7 What is the z'th term of 745, 1840, 2943, 4060, 5197, 6360, 7555? z**3 - 2*z**2 + 1094*z - 348 What is the y'th term of 267453, 267312, 267185, 267072? 7*y**2 - 162*y + 267608 What is the z'th term of 584085, 583938, 583793, 583650, 583509, 583370, 583233? z**2 - 150*z + 584234 What is the r'th term of 141802, 283375, 424948, 566521? 141573*r + 229 What is the m'th term of -70592534, -70592533, -70592532, -70592531, -70592530? m - 70592535 What is the v'th term of -1880, -1981, -2130, -2345, -2644? -3*v**3 - 6*v**2 - 62*v - 1809 What is the z'th term of 209976, 209939, 209888, 209817, 209720? -z**3 - z**2 - 27*z + 210005 What is the b'th term of -921448, -921466, -921484, -921502, -921520? -18*b - 921430 What is the s'th term of -604840, -2419423, -5443742, -9677797, -15121588, -21775115? -604868*s**2 + 21*s + 7 What is the u'th term of -710944, -1422457, -2133968, -2845477? u**2 - 711516*u + 571 What is the a'th term of 46539592, 46539577, 46539564, 46539553, 46539544, 46539537? a**2 - 18*a + 46539609 What is the u'th term of -4627, -4257, -3251, -1291, 1941, 6763, 13493, 22449? 53*u**3 - u - 4679 What is the t'th term of -156669, -626636, -1409923, -2506536, -3916481? -t**3 - 156654*t**2 + 2*t - 16 What is the f'th term of 160210, 160215, 160220, 160225, 160230, 160235? 5*f + 160205 What is the x'th term of -1853, -3606, -5265, -6830? 47*x**2 - 1894*x - 6 What is the v'th term of -115684, -115630, -115538, -115408, -115240? 19*v**2 - 3*v - 115700 What is the y'th term of 24118, 24062, 23956, 23800, 23594, 23338, 23032? -25*y**2 + 19*y + 24124 What is the a'th term of 6868, 6486, 6100, 5710? -2*a**2 - 376*a + 7246 What is the l'th term of -594197, -1188400, -1782605, -2376812, -2971021? -l**2 - 594200*l + 4 What is the k'th term of -141503, -141481, -141463, -141449, -141439? -2*k**2 + 28*k - 141529 What is the c'th term of -13976741, -13976744, -13976749, -13976756, -13976765? -c**2 - 13976740 What is the l'th term of -1409770, -1409763, -1409754, -1409743, -1409730, -1409715, -1409698? l**2 + 4*l - 1409775 What is the i'th term of 12178, 12090, 12008, 11932, 11862, 11798? 3*i**2 - 97*i + 12272 What is the j'th term of 238, 744, 1532, 2590, 3906, 5468, 7264? -2*j**3 + 153*j**2 + 61*j + 26 What is the d'th term of -161760, -161449, -161126, -160785, -160420? d**3 + 304*d - 162065 What is the z'th term of -44534, -79237, -113940? -34703*z - 9831 What is the k'th term of 5579, 11121, 16619, 22073, 27483, 32849? -22*k**2 + 5608*k - 7 What is the a'th term of 116713330, 116713328, 116713326, 116713324, 116713322, 116713320? -2*a + 116713332 What is the u'th term of -303440, -1213727, -2730886, -4854929, -7585868, -10923715? -2*u**3 - 303424*u**2 - u - 13 What is the p'th term of 42341, 81671, 121001, 160331, 199661? 39330*p + 3011 What is the z'th term of 40197, 81902, 123607, 165312, 207017? 41705*z - 1508 What is the c'th term of -100004008, -200008017, -300012026, -400016035, -500020044, -600024053? -100004009*c + 1 What is the g'th term of -14536, -29317, -44098? -14781*g + 245 What is the b'th term of 283476612, 283476613, 283476614, 283476615, 283476616? b + 283476611 What is the t'th term of 19230976, 38461953, 57692930, 76923907, 96154884, 115385861? 19230977*t - 1 What is the o'th term of -688, -964, -1430, -2098, -2980, -4088? -2*o**3 - 83*o**2 - 13*o - 590 What is the d'th term of 5239, 7610, 7103, 3718, -2545, -11686, -23705? -1439*d**2 + 6688*d - 10 What is the a'th term of -1044654, -2089451, -3134248, -4179045, -5223842? -1044797*a + 143 What is the o'th term of 1101806, 2203381, 3304956, 4406531, 5508106, 6609681? 1101575*o + 231 What is the a'th term of 12207, 11553, 10899? -654*a + 12861 What is the x'th term of -184081, -368178, -552287, -736408, -920541, -1104686, -1288843? -6*x**2 - 184079*x + 4 What is the v'th term of 6027995, 6027996, 6027997, 6027998, 6027999? v + 6027994 What is the l'th term of 6380, 5943, 5222, 4223, 2952, 1415? l**3 - 148*l**2 + 6527 What is the k'th term of 46566, 372477, 1257096, 2979777, 5819874, 10056741, 15969732? 46559*k**3 - 2*k + 9 What is the k'th term of 1239891, 1239907, 1239923, 1239939, 1239955, 1239971? 16*k + 1239875 What is the k'th term of 2446538, 2446510, 2446458, 2446376, 2446258, 2446098, 2445890? -k**3 - 6*k**2 - 3*k + 2446548 What is the j'th term of -15281, -30749, -46219, -61685, -77141? j**3 - 7*j**2 - 15454*j + 179 What is the q'th term of -66788, -68678, -71828, -76238? -630*q**2 - 66158 What is the d'th term of 30897, 31380, 31863? 483*d + 30414 What is the g'th term of -74590, -298391, -671418, -1193671, -1865150, -2685855, -3655786? -74613*g**2 + 38*g - 15 What is the p'th term of -147963, -147805, -147657, -147519, -147391, -147273? -5*p**2 + 173*p - 148131 What is the t'th term of -4109, -10699, -19777, -31337, -45373? t**3 - 1250*t**2 - 2847*t - 13 What is the s'th term of -1551894, -3103788, -4655682, -6207576, -7759470, -9311364? -1551894*s What is the c'th term of -21036525, -84146092, -189328695, -336584328, -525912985, -757314660? c**3 - 21036524*c**2 - 2*c What is the k'th term of 23162, 47678, 72194? 24516*k - 1354 What is the x'th term of -12373, -13125, -13879, -14635, -15393, -16153? -x**2 - 749*x - 11623 What is the k'th term of -2129765, -4259539, -6389313, -8519087? -2129774*k + 9 What is the o'th term of 3272, 3297, 3366, 3503, 3732, 4077, 4562? 4*o**3 - 2*o**2 + 3*o + 3267 What is the n'th term of -27244, -108923, -245070, -435697, -680816? -2*n**3 - 27222*n**2 + n - 21 What is the o'th term of -20275, -40518, -60733, -80920, -101079, -121210? 14*o**2 - 20285*o - 4 What is the z'th term of 1042, 1860, 2656, 3424, 4158, 4852? -z**3 - 5*z**2 + 840*z + 208 What is the b'th term of 15, -1196, -3235, -6120, -9869, -14500? -3*b**3 - 396*b**2 - 2*b + 416 What is the i'th term of -155, -574, -1253, -2186, -3367, -4790, -6449, -8338? i**3 - 136*i**2 - 18*i - 2 What is the y'th term of -4850914, -9701771, -14552606, -19403407, -24254162? 2*y**3 - y**2 - 4850868*y - 47 What is the v'th term of 769215, 1538849, 2308483, 3078117, 3847751, 4617385? 769634*v - 419 What is the f'th term of 21, 265, 609, 1053, 1597, 2241? 50*f**2 + 94*f - 123 What is the y'th term of -22505, -23454, -24395, -25328, -26253, -27170? 4*y**2 - 961*y - 21548 What is the d'th term of 73049, 149252, 225455, 301658, 377861, 454
{ "pile_set_name": "DM Mathematics" }
r**2 - 86*r + 495. Determine z(10). 135 Let a(v) = -v**2 + 311*v + 2532. What is a(-8)? -20 Let a(n) = -53476*n - 106964. Give a(-2). -12 Let p(y) = 6087*y + 298235. What is p(-49)? -28 Let s(v) = 283726*v - 1134447. Give s(4). 457 Let n(d) = 386*d**2 - 18526*d - 99. What is n(48)? -3 Let t(x) = 66033*x + 330164. Determine t(-5). -1 Let d(w) = 29*w + 6602. Determine d(-37). 5529 Let f(l) = -42*l**3 - 10*l**2 + 41*l - 88. Give f(2). -382 Let u(x) = -6*x**3 - 519*x**2 + 3581*x + 7. What is u(7)? -2415 Let o(r) = -222*r + 16630. Calculate o(75). -20 Let k(x) = -x**2 + 6061*x - 126831. What is k(21)? 9 Let d(l) = -2*l**3 + 44*l**2 - 40*l + 862. Determine d(22). -18 Let b(l) = -2*l**3 + 1019*l**2 - 465*l - 22430. What is b(509)? -34 Let s(n) = -73*n**2 + 1834*n - 207. Give s(25). 18 Let t(p) = -82761*p - 331123. Determine t(-4). -79 Let w(l) = -l**3 + 44*l**2 + 840*l - 38764. What is w(42)? 44 Let x(k) = 137*k**2 + 40*k - 58. Determine x(2). 570 Let w(m) = 3841*m - 199715. What is w(52)? 17 Let u(d) = 3860*d - 19420. Calculate u(5). -120 Let h(f) = -81*f**2 - 813*f - 67. Give h(-9). 689 Let i(r) = 9*r**3 + 27*r**2 - 316*r + 288. Give i(1). 8 Let w(n) = -3159*n + 2923. Determine w(1). -236 Let b(j) = j**3 - 3*j**2 - 88*j + 301. What is b(3)? 37 Let l(s) = 39*s + 1702. Calculate l(-36). 298 Let s(f) = f**3 + 46*f**2 - 343*f + 191. Determine s(6). 5 Let j(w) = 18*w**2 - 553*w - 2001. Calculate j(34). 5 Let w(z) = -18531*z**2 + 74094*z + 120. What is w(4)? 0 Let w(f) = 7*f**3 - 221*f**2 + 1747*f - 1797. Determine w(11). -4 Let f(o) = -o**2 - 123*o + 1505. Calculate f(12). -115 Let i(l) = -52*l**2 - 499*l + 297. Calculate i(-6). 1419 Let r(q) = -q**2 - 2252*q - 393686. Give r(-191). -35 Let p(k) = k**2 - 23652*k + 1109425. Determine p(47). -10 Let x(g) = 3*g**2 - 170*g - 25893. Determine x(125). -268 Let s(f) = -85*f**2 + 973*f + 1965. Give s(-2). -321 Let u(z) = 6*z**2 + 190*z - 3855. Give u(15). 345 Let z(b) = 205*b**3 - 2667*b**2 - 3*b + 372. Give z(13). -5 Let g(y) = -2*y**3 - 550*y**2 + 2238*y + 1667. What is g(-279)? -7 Let x(q) = -3414*q - 11360. Determine x(-4). 2296 Let b(r) = r**2 + 162*r + 4217. Determine b(-106). -1719 Let r(c) = -4*c**3 + 733*c**2 - 194*c - 925. What is r(183)? -2938 Let o(v) = 10*v**2 - 922*v - 862. What is o(95)? 1798 Let y(c) = c**3 - 105*c**2 + 464*c + 3603. Calculate y(100). 3 Let m(h) = 102*h + 9508. Calculate m(-91). 226 Let v(k) = -487967*k + 2927796. Determine v(6). -6 Let f(l) = -17*l**2 + 301*l + 2960. What is f(-7)? 20 Let t(b) = -2*b**3 + 163*b**2 + 117*b - 574. Calculate t(82). 2296 Let f(c) = 283*c**2 + 2245*c - 5. Calculate f(-8). 147 Let h(u) = 34*u**3 + 2072*u**2 - 118*u + 122. Give h(-61). -122 Let l(b) = 542637*b - 4883748. Give l(9). -15 Let x(i) = -68004*i + 2040223. Calculate x(30). 103 Let n(b) = 1518*b - 34950. What is n(23)? -36 Let b(g) = 74*g - 2782. Give b(39). 104 Let p(s) = s**3 + 21*s**2 - 711*s - 39. Give p(-39). 312 Let g(z) = z**3 - 49*z**2 + 420*z - 3921. Determine g(41). -149 Let t(l) = 15*l**2 - 1981*l + 7. Calculate t(0). 7 Let z(c) = 195*c**2 + 60*c + 4. Calculate z(-3). 1579 Let b(v) = -40929*v + 163724. Determine b(4). 8 Let z(i) = 2*i**2 - 12339*i + 73944. Calculate z(6). -18 Let f(d) = -2*d**2 + 2186*d - 193214. Calculate f(996). 10 Let p(x) = -963*x - 35836. Calculate p(-37). -205 Let i(p) = -73492*p - 514451. Give i(-7). -7 Let s(d) = -138*d**2 + 19877*d - 584. Determine s(144). 136 Let d(n) = -174*n + 21355. Determine d(123). -47 Let p(i) = 11*i**3 + 10*i**2 + 9*i - 110. Give p(5). 1560 Let u(o) = o**3 + 16*o**2 - 11*o - 477. What is u(-16)? -301 Let d(h) = -h**3 + 56*h**2 + 1673*h - 3570. What is d(2)? -8 Let u(f) = 428*f + 49432. Calculate u(-115). 212 Let m(z) = -2*z**3 - 8*z**2 + 175*z + 1026. What is m(-6)? 120 Let g(j) = 3*j**3 + 74*j**2 - 77*j - 688. What is g(-25)? 612 Let x(f) = -9994*f - 210028. Determine x(-21). -154 Let w(i) = 41*i**3 - 127*i**2 + 28*i - 47. Determine w(3). 1 Let t(v) = -121*v**2 - 27*v - 50. Calculate t(-2). -480 Let d(a) = 62*a + 4053. Calculate d(-66). -39 Let j(m) = m**3 + 9*m**2 - 108*m + 25. What is j(10)? 845 Let o(j) = -j**3 - 21*j**2 - 152*j - 452. Determine o(-11). 10 Let x(r) = -35273*r + 282192. Calculate x(8). 8 Let h(w) = -1232*w + 1029958. Give h(836). 6 Let u(z) = -8311*z - 772981. Calculate u(-93). -58 Let s(d) = -2*d**2 - 2761*d + 2759. Determine s(1). -4 Let g(t) = -6*t**2 - 7615*t - 2005616. Give g(-373). 5 Let g(q) = -q**3 - 1634*q**2 + 3267*q + 6. Determine g(2). -4 Let k(q) = -31*q**2 - 1146*q + 4601. Give k(4). -479 Let b(u) = -u**2 - 16207*u + 275919. Calculate b(17). 111 Let k(p) = p**3 + 36*p**2 - 23*p + 414. What is k(-38)? -1600 Let s(t) = -t**3 - 35*t**2 - 71*t + 49. Determine s(-33). 214 Let k(p) = 3282*p + 98871. Calculate k(-30). 411 Let k(t) = -112*t + 5752. What is k(49)? 264 Let b(z) = 105*z**2 - 3961*z + 2818. Calculate b(37). 6 Let p(h) = 3*h**3 + 78*h**2 - 168*h - 3438. Give p(-29). -6135 Let j(p) = -3*p**3 - 12*p**2 + 1797*p + 12491. Give j(-7). 353 Let k(i) = i**3 - 43*i**2 - 132*i - 250. Give k(46). 26 Let k(b) = b**3 + 57*b**2 + 408*b + 5204. What is k(-51)? 2 Let q(j) = j**3 - 55*j**2 - 409*j + 22481. Give q(55). -14 Let r(a) = -a**3 + 118*a**2 + 701*a - 82727. Determine r(118). -9 Let r(a) = 3728*a + 4947085. Determine r(-1327). 29 Let g(q) = 7613*q - 7521653. Give g(988). -9 Let t(s) = 7*s**3 - 137*s**2 + 450*s - 178. Determine t(16). 622 Let z(m) = 191*m**3 + 4202*m**2 + 14*m + 116. Calculate z(-22). -192 Let s(l) = 4*l**3 - 1674*l**2 - 840*l + 839. What is s(419)? 1 Let b(x) = 6517*x + 289. Determine b(0). 289 Let a(z) = -8*z**2 + 994*z - 6558. Give a(7). 8 Let d(a) = 3285*a + 18837. Determine d(-6). -873 Let h(g) = -138*g + 5586. Give h(38). 342 Let v(i) = -i**3 + 20*i**2 + 30*i - 601. Determine v(20). -1 Let b(v) = v**3 - 7224*v**2 - 232193*v - 47. What is b(-32)? -15 Let o(r) = 265*r**2 - 87713*r - 663. Give o(331). -1 Let g(j) = -131*j - 1645. Determine g(-10). -335 Let v(w) = 151*w + 220. Determine v(-2). -82 Let l(w) = 22*w**2 + 1565*w + 3305. Give l(-69). 62 Let x(l) = -4*l**2 - 529*l - 5448. What is x(-121)? -3 Let a(i) = i**2 + 555*i - 140614. Calculate a(189). 2 Let i(g) = 5*g**2 + 1013*g - 120462. Give i(84). -90 Let s(y) = 162*y - 7575. Give s(43). -609 Let n(c) = 5044*c - 22390. Give n(5). 2830 Let x(j) = -j**3 + 13*j**2 - 444*j + 5778. Determine x(13). 6 Let p(r) = -2*r**3 - 267*r**2 + 44066*r - 185. What is p(96)? 7 Let u(m) = -m**3 + 835*m**2 + 5935*m - 34501. Calculate u(842). 21 Let q(l) = -l**3 - 74*l**2 + 224*l - 543. What is q(-77)? -4 Let d(v) = -2*v**2 + 447*v + 87615. Determine d(-125). 490 Let r(m) = 1080*m + 5088. Give r(-5). -312 Let f(y) = 4*y**2 - 921*y + 14758. Give f(17). 257 Let w(t) = -t**3 + 92*t**2 + 45*t - 4342. What is w(92)? -202 Let s(o) = -4224*o + 20950. What is s(5)? -170 Let k(a) = -a**3 - 38*a**2 - 235*a - 21. What is k(-8)? -61 Let i(l) = -2*l**2 - 184*l - 1211. Calculate i(-85). -21 Let i(k) = 144*k + 4743. Give i(-38). -729 Let y(f) = -75*f**3 + 63*f**2 + 143*f + 39. Determine y(-2). 605 Let a(u) = 21*u**2 + 1347*u - 19. Give a(-64). -211 Let k(w) = 22*w**3 + 152*w**2 - 443*w + 10. What is k(3)? 643 Let l(x) = -x**3 - 62*x**2 - 14*x - 358. What is l(-62)? 510 Let p(o) = 13*o**2 - 222*o - 8206. Give p(-18). 2 Let a(r) = -2*r**2 + 19930*r + 139631. What is a(-7)? 23 Let t(q) = 374*q**2 + q + 20. Calculate t(0). 20 Let t(o) = 448249*o + 9861476. What is t(-22)? -2 Let i(u) = 18*u**3 - 161*u**2 + 130*u + 46. Calculate i(8). -2 Let n(k) = -6846*k + 5381011. Calculate n(786). 55 Let j(z) = 5*z**2 - 158*z + 1033. Determine j(10). -47 Let n(d) = 3*d**2 - 1651*d - 83599. Give n(597). -19 Let o(y) = -63308*y + 506460. What is o(8)? -4 Let k(t) = t**3 - 88*t**2 - 538*t + 24111. Calculate k(91). -4 Let s(l) = -l**3 - 20*l**2 + l - 2296. Calculate s(-24). -16 Let s(h) = 571603*h - 4001222. Calculate s(7). -1 Let p(u) = -36*u**2 + 406*u + 30. Calculate p(10). 490 Let i(o) = -23*o**3 + 1133*o**2 + 864*o - 16. What is i(50)? 684 Let q(h) = 3*h**2 - 303*h - 46. What is q(101)? -46 Let n(k) = 11735*k - 117058. Determine n(10). 292 Let l(i) = 90*i**3 + 18179*i**2 - 201*i - 353. Determine l(-202). -555 Let i(h) = 4270399*h - 12811201. What is i(3)? -4 Let l(p) = p**2 - 5
{ "pile_set_name": "DM Mathematics" }
5. Let b be (-60)/u - 4/(-6). Calculate k(b). -5 Let a(w) = -w**3 - 6*w**2 - 6*w - 2. Suppose 23*p = -11 - 35. Determine a(p). -6 Let k(z) = -3*z + 9. Let y(s) = 8*s - 26. Let i(d) = 11*k(d) + 4*y(d). Let t be i(-7). Suppose -t*p - 2*p = -28. Let a(n) = -n**3 + 7*n**2 + n - 4. Give a(p). 3 Let r(x) = -x**2 - 3*x. Suppose -7*l - 148 = 713. Let y be l/6 + (-2)/4. Let u = y + 18. What is r(u)? 0 Let h(s) = -2*s - 5. Let w(i) = 7*i + 14. Suppose 5*m + 0*y + 12 = 2*y, 4 = -4*m + 3*y. Let g(b) = m*w(b) - 11*h(b). Let c = 2 - 3. Calculate g(c). 5 Let p = -316 - -446. Let l(n) = n**2 - p*n + 128*n + 3 + 0. What is l(2)? 3 Let f(l) = -l**3 - 2*l**2 + 5*l - 3. Suppose 2*g + 5 - 7 = 5*i, -3*i - 18 = 3*g. Calculate f(g). 9 Let h(g) be the third derivative of g**6/120 - 2*g**5/15 - g**4/12 + 3*g**3/2 + g**2 - 2*g. Suppose -5*u + 17 = -v, 2*v + 4 + 0 = 4*u. Calculate h(v). -7 Let o be (-1 - -1 - 6/(-21))*7. Let k(c) = 113 + o*c - c - 113. Calculate k(5). 5 Let c(t) = -t**3 - 2*t**2 + 10*t + 1. Let n be (7 - 2) + (-48)/12 + 2. Give c(n). -14 Let z(x) = 3*x**2 - x - 6. Let o(m) = -10*m**2 + 4*m + 18. Let q(c) = 2*o(c) + 7*z(c). Let k(w) = -w**3 + 13*w**2. Let y be k(13). Give q(y). -6 Let n(y) be the third derivative of 1/2*y**3 - 30*y**2 - 1/24*y**4 + 0*y + 0. Calculate n(10). -7 Suppose -2*g - 16 = -6*g. Suppose -3*t + g*t - 2 = 0. Suppose -i + s - 3*s - 10 = 0, -5*s - 24 = t*i. Let y(m) = -m**2 - 3*m + 1. Give y(i). 3 Let p = 53 - 39. Suppose -3*c = -x + 14, 0 = -6*c + c + 4*x - p. Let i(s) = s. Calculate i(c). -6 Let l = 11 + -9. Let r(d) be the second derivative of -d**3/6 + 11*d + 4. Determine r(l). -2 Let j(g) = 7*g**2 + 4*g + 115. Let c(w) = -3*w**2 - 5*w - 58. Let s(z) = -5*c(z) - 2*j(z). Give s(-11). -6 Let d(o) = -2*o**2 + 19*o - 16*o + 3*o**2 + 3 + 0*o**2. Calculate d(-2). 1 Let h(j) = 5*j + 1 - 4*j + 0. Suppose -5*m + f - 92 = 0, 11*f + 72 = -3*m + 6*f. Let o = m + 25. What is h(o)? 7 Let c(u) = u**2 - 13*u - 14. Let b(g) = -g**3 + 28*g**2 + 60*g + 13. Let v be b(30). What is c(v)? -14 Suppose 4*l + 4*g - 3 = -35, 0 = 4*l + g + 41. Let r(w) = -w**2 - 11*w + 11. Give r(l). 11 Let n(c) = -c**2 - 5*c + 7. Let p(g) = g**2 - 11*g - 5. Let d = 11 + 0. Let b be p(d). Give n(b). 7 Let f be 35/28*(-24)/(-10). Suppose 2*n + 0 - 1 = -c, 0 = n + 4*c + 10. Let w(o) = -n*o + 1 + 4*o - o. Calculate w(f). 4 Suppose 0 = 48*k - 43*k - 25. Suppose -6*h + 2*h - 19 = x, 35 = -5*h - k*x. Let a(d) = d + 1. Calculate a(h). -3 Let h(p) = -p**2 + p - 30. Let g = 1026 + -1026. What is h(g)? -30 Let t be (-6)/(-2)*((-120)/(-18) - 5). Let a(m) = m**2 - 5*m + 7. Let b be a(t). Let h(k) = -k**2 + 9*k - 10. What is h(b)? 4 Suppose 0 = -2*f + 49 - 71. Let v(t) = 3*t + 35. Calculate v(f). 2 Suppose -3*o - 12*s + 9*s = -21, -4*o + 8 = -s. Let h(j) = j**2 - 3*j + 4. Determine h(o). 4 Suppose 0 = 10*t - 14 - 16. Let i(w) be the second derivative of 0 - 3*w - t*w**2 + 1/2*w**3. Determine i(5). 9 Let c = 246 + -246. Let s(l) = -l - 9. Calculate s(c). -9 Let w(a) = a**3 - 2*a**2 + 3. Suppose 15*k = 4*k + 44. What is w(k)? 35 Let i(x) = -x + 6. Let p be i(13). Let l(r) = -r**3 - 6*r**2 + 7*r - 3. Determine l(p). -3 Let d(w) be the first derivative of -w**3/3 + 6*w**2 + 13*w - 59. Calculate d(13). 0 Let u be (3/(-9))/(2/18). Let p(n) = 2*n**2 + 5*n - 2. Let o(x) = -3*x**2 - 5*x + 1. Let s(f) = u*o(f) - 4*p(f). Let q = -40 - -45. Determine s(q). 5 Let r(j) = -j**3 + j**2 - j - 1. Let z be r(0). Let s(v) = 23 + 6*v - 48 - 4*v + 25. Calculate s(z). -2 Let w(v) be the second derivative of -v**5/20 - v**4/2 - v**3/3 - 6*v**2 + 526*v. Determine w(-6). 0 Let r(h) = -h**2 + h + 1. Let l(g) = -4*g**2 + 5*g + 1. Let q = -8 + 10. Suppose -q*t - 18 + 8 = 0. Let b(w) = t*r(w) + l(w). What is b(-3)? 5 Suppose -4*r = -12, 26 - 7 = -2*m - 3*r. Let l(y) = -y**2 - 12*y + 9. Give l(m). -19 Let b(y) = -y**3 + 9*y**2 + 8*y + 23. Let u be b(10). Let o(w) = 5*w**2 + w**3 + 0 + u - 5*w**2 + w. What is o(0)? 3 Let h(m) = -3*m**2 + 7*m + 1. Let n be 13 + (-11)/((-11)/(-10)). What is h(n)? -5 Let c = 1690 + -1686. Let y(i) be the first derivative of -c*i**2 - i - 12 - 1/3*i**3. Calculate y(-6). 11 Suppose -4*p + 107 - 43 = 0. Let c = p - 13. Let s(x) = -2 - 3*x + 0*x - x**2 - 4*x + c*x. Give s(-4). -2 Let o(z) = 3*z - 4*z - 324 + 120 + 106 + 118. What is o(17)? 3 Suppose -2*d - 3*g - 5 = 0, -2*d + 3*g + 9 = -4. Let j(s) = -8 + 0*s**2 - 6*s + s - 4*s - s**d. Give j(-7). 6 Let d = 21 + -15. Suppose 0 = -b - b - 5*o - 16, -b - d = 2*o. Let g(w) = w**2 - 2*w + 3. Determine g(b). 3 Let s(b) = -3*b**3 + 217*b**2 - 73*b + 78. Let n be s(72). Let m be (2/(-4))/((-3)/12). Let q(o) = 3*o + 6 - 3 - m*o. Determine q(n). 9 Let i(h) be the first derivative of h**4/4 + 2*h**3 + 7*h**2/2 + 2*h - 684. Give i(-5). -8 Let p(f) = 4 + 1328*f - 1324*f - 5 - f**2. What is p(3)? 2 Let s(n) be the second derivative of -n**3/6 + 23*n**2/2 + 179*n. What is s(12)? 11 Let q(i) = 2*i - 7. Let t = 420 - 412. Determine q(t). 9 Let d = 3 - 5. Let y(b) = b**3 - 5*b**2 - b + 7. Let a be y(5). Let v(o) = -3*o**a + 11*o + 2*o**2 - 10*o. Determine v(d). -6 Let w(a) = -a**2 - 3. Suppose 4*d + 4*p - 16 = 0, 4*p = -6 - 14. Suppose -5*k - 2*v + d = v, 3*v = -4*k + 9. Determine w(k). -3 Let m(c) be the third derivative of -7*c**4/24 - c**3/6 + c**2. Let u(p) = -p**2 - 44*p - 44. Let x be u(-43). What is m(x)? 6 Let a(u) = u - 1. Suppose 3*k - 4*y - 50 = 0, -3*k = -2*y - 38 - 8. Determine a(k). 13 Suppose -q + 11 = 4*r - 0, -2*r = -q + 29. Let p = 26 - q. Suppose 5*u - 7 = p. Let b(x) = -x**3 + 3*x - 1. Determine b(u). -3 Let l(c) = 5*c + 6*c**2 - 3*c - c**3 + 8 - 3*c. Let q(z) = z**3 + 3*z**2 - 4*z - 6. Let h(m) = -3*m**2 + 2*m + 2. Let v be h(-1). Let r be q(v). Give l(r). 2 Let h(v) = -11*v**2 - 9 + v + 14 - 4. Let n(j) = -j**3 - 9*j**2 - 7*j + 7. Let x be n(-8). What is h(x)? -11 Let z(g) = 6*g**3 - g**2 + g + 2. Let q be z(-1). Let t(m) = -m**2 - 7*m - 13. Calculate t(q). -7 Let k be 4/22 - 126/(-33). Let d(z) be the third derivative of -z**4/24 - z**3/2 + z**2 - 30*z. Calculate d(k). -7 Let c be (-2)/(-6)*-4 + 10/(-6). Let b(r) = r**3 - 2*r**2 + 3*r. Let f be b(2). Let k(j) = -4 + f*j + 3 - 3*j - j**3. What is k(c)? 17 Let r(o) = 3*o - 1. Let y(q) = -10*q + 5. Let z(f) = -7*r(f) - 2*y(f). Calculate z(3). -6 Let x(s) be the second derivative of 4*s**3/3 + 59*s**2/2 + 736*s. Determine x(-8). -5 Suppose b + 10 = l, -4*b + 2 = -2*l + 30. Let v be (3 - 21/9)/((-1)/l). Let x(u) = -2*u + 5. Calculate x(v). 13 Let n(d) = -2*d**2 + 4*d + 16. Let v(w) = -3*w**2 + 6*w + 23. Let x(c) = -7*n(c) + 5*v(c). What is x(-2)? -5 Let b = -1107 + 1100. Let n(t) = t**3 + 9*t**2 + 14*t - 3. Give n(b). -3 Let v be 2/8 - (124/(-16) + 6). Suppose -t + j = v*t + 11, -4 = 4*j. Let w(h) = h**3 + 3*h**2 - 3*h - 2. What is w(t)? -6 Let g(y) = -4*y**3 + 3*y**2 + 2*y + 3. Let n(f) = 3*f**3 - 3*f**2 - 2*f - 3. Let r(v) = -2*g(v) - 3*n(v). Let z be ((-8)/(-5))/((-16)/(-40)). Give r(z). -5 Let z(l) = l**2 + 8*l + 7. Let w = 81 + -77. Suppose 1 = -b - w. Calculate z(b). -8 Let x = 746 + -741. Let w(v) = -v**3 + 5*v**2 - v - 6. Give w(x). -11 Let c = 206 - 199. Let o(l) = l**2 - 6*l + 8. Give o(c). 15 Let z(i) be the third derivative of i**6/120 + i**5/15 + i**4/12 + i**3/3 + 7*i**2. Let m be z(-4). Let r(l) = -l**2 - 7*l - 1. What is r(m)? 5 Let r(m) = m**3 - 1. Let a be (-2)/(-1*(-8)/4)*1. Let o(y) = -y - 1. Let z(h) = h**2 + 4*h + 4. Let i(j) = 2*o(j) + z(j). Let n be i(a). Calculate r(n). 0 Let k(v) = -4*v - 18. Let l be k(-6). Suppose 20*y = 17*y + l. Let u(f) = f**3 - 3*f**2 + 2*f + 1. Determine u(y). 1 Let z(b) be the third derivative of -b**9/60480 - b**8/2520 - b**7/5040 - b**6/360 + b**5/15 + 4*b**2. Let j(g) be the third derivative of z(g). Give j(-8). 6 Let o(b) = -10 + 5*b + 7 + 4. Suppose 5*l = 3*m - 37, m + 20*l + 21 = 15*l. Calculate o(m). 21 Let o(h) = -46*h - 25. Let l(b) = 11*b + 6. Let s(u) = -9*l(u) - 2*o(u). Calculate s(3). -25 Let p(n) = -9*n - 8. Let z(d) = 1. Let a(o) = p(o) + 3*z(o). Determine a(-4). 31 Suppose -71*d + 30 = -69*d. Let c(x) = -d*x - 5 + 4 - 5 + 12*x. Give c(-5). 9 Let f(j) = 6*j - 5*j**2 - 3*j - 6*j**2 + 3 + j**3 + 4*j**2 - 4*j. What is f(7)? -4 Let r = -64 + 68. Suppose -2*k + 6*k + 13 = q, -33 = r*q + k. Let g(o) = o + 3. What is g(q)? -4 Le
{ "pile_set_name": "DM Mathematics" }
l(w) and 6. 12 Let f = 109 + -106. Suppose -f*m = -2*m - 120. Calculate the common denominator of 23/38 and (-4)/(-6) + (-452)/m. 190 Suppose 0 = -2*y + 37 + 51. Suppose 63*p - 8961 = 2127. Calculate the smallest common multiple of p and y. 176 Let q = 9757/84 + -886/7. Let p be 1053/(-26) + 9/6 + -1. Calculate the common denominator of 3 - 114/p - (11 + -4) and q. 60 Let d(j) = -3 + 3 + 5 - 3*j - 4. Let i = -9792 + 9798. Calculate the smallest common multiple of i and d(-1). 12 Suppose -109 = -8*w + 7*w - m, 2*m = -4*w + 428. What is the common denominator of 2/5 + 88/w and 125/36? 252 Let z be (-4)/(-10) - (-72)/20. Let n = 386 + -326. Suppose 50 = 2*x - h - h, -2*x + z*h = -n. What is the smallest common multiple of x and 20? 20 Let q = -2062 + 2030. Let w be (1 - 0)*(2 + 38). What is the common denominator of (6/123)/(q/w) and 101/6? 246 Let b = -16933 + 35901. What is the common denominator of 4/(-34) + (5 - b/4080) and 113/70? 210 Let f be (3 + -18)/5 + 3. Let a = 10 - f. What is the lowest common multiple of 28 and a? 140 Let f be (-1 + 2)/(48/15 + -3). Let z be 75/1 - f/(-1). Suppose z = 4*y - 2*y. Calculate the smallest common multiple of 3 and y. 120 Let y = 11441/8244 + 1/916. Let g = -15310/841 - 6614199/58870. Let u = g - -874/7. Find the common denominator of u and y. 90 Let q be 111/21 - (-2)/(-7). What is the common denominator of (q/(-125))/(2/(-5)) and (-1568)/11760 - (-308)/(-15)? 30 Suppose -t = r + 114 - 140, -3*t + 18 = 0. Calculate the common denominator of 85/474 and r. 474 Find the common denominator of ((4/27)/4)/((-46)/(-9798)) and 94/(-215) + 12/(-30). 387 Let q be (3 - 85/(-40)) + -2 - 2. Let u = q - -79/24. Find the common denominator of u and 91/8. 24 Find the common denominator of -6 + 9 + (-44652)/15336 and 22/27. 3834 Let k = -50138/5 + 72799981/7260. What is the common denominator of k and -27/56? 20328 Find the common denominator of 79/60 and (79122/(-6588) + 84/7)*(-21)/2. 3660 Let c be 9202/18 - (-9 + (-830)/(-90)). Suppose -17*f + c = -50. Calculate the lowest common multiple of f and 33. 33 Suppose 3*c - 11 = -4*g, -4*c + 2*g + 27 = c. Let r = 11 - c. What is the lowest common multiple of r and 42? 42 Let c = -717598/5 - -232501571/1620. Find the common denominator of c and -61/90. 1620 Suppose -3*z - z + 16 = 0. Suppose 3*o + 2*q - 58 = 0, z*q + q = -3*o + 64. Let g = 45 - 33. Calculate the lowest common multiple of g and o. 36 Let v = -52507 - -35494751/676. What is the common denominator of 11/2 and v? 676 Suppose 71920 = -21*h + 7891. Let u = h + 128141/42. Find the common denominator of -53/5 and u. 210 Suppose 0 = -23*q + 22*q, 5*q = 3*z + z - 12. Calculate the smallest common multiple of z and 163. 489 Let q be ((-15)/4)/((-1)/4). Let w = q - 10. Let t(y) = 2*y**2 - 147*y + 631. Calculate the lowest common multiple of w and t(69). 10 Suppose 47*m - 3608 = 36*m. Let g = m + -306. What is the lowest common multiple of g and 38? 418 Suppose -4*g + 2*y = -4410, -11*g = -14*g - y + 3315. Calculate the lowest common multiple of g and 138. 1104 Suppose 5*p = -14*p - 1330. Let z = 43807/16 + -2740. Find the common denominator of z and ((-345)/p)/1 + -1. 112 What is the smallest common multiple of 8 and 2767 + -174 + (4/(-6) - 65/15)? 5176 Let m be 1/4 + 73074/56. Let u = m + -183273/140. What is the common denominator of 12 - 15 - (-1065)/240 - 6 and u? 80 Let k = 2318590825/173767219 + 34/1698051. Let b = -3/307 + k. Calculate the common denominator of (-27)/21*((-308)/(-16) + 0) and b. 12 Let s be -2*(111230/45 + 3). Let g = 4943 + s. Let u = -1800 + 32383/18. Calculate the common denominator of g and u. 18 Let y = 213549/8 - 21141617/792. Find the common denominator of 45/16 and y. 1584 Let v(o) = o**3 + 81*o**2 - 487*o + 6. What is the smallest common multiple of v(6) and 23? 4968 Let o be (1 + 274937383765 + 0)*5/(-40100). Let z = o - -34281470. Let q = 1/401 - z. Calculate the common denominator of q and -117/56. 280 Let a be (((-1296)/21)/2)/(26/(-273)). What is the least common multiple of 60*-9*(-6)/a and 8? 40 Let t(f) = 8*f**2 - 6*f + 24. Calculate the lowest common multiple of 1212 and t(2). 13332 Suppose 0*u = -10*u + 1400. Calculate the smallest common multiple of u and 45. 1260 Let w = 12136 - 11916. Calculate the smallest common multiple of 32 and w. 1760 What is the common denominator of (-219)/(-30) - (-6)/(-3) and (-1647)/45600 + 17/(-323)? 800 Suppose 256*c - 4*t = 260*c - 6524, 9*c - 2*t = 14646. Calculate the least common multiple of 1184 and c. 13024 Let m(r) = -r**3 + 3*r**2 - r + 18. Let c be m(4). What is the common denominator of 39/275 and ((-100)/8 + -3 - c) + 2? 550 Suppose -5*w = k - 2*k - 393, 162 = 2*w - 2*k. Let o = 13 - 31. Find the common denominator of ((-18)/80)/(o/w) and 19/16. 80 Suppose -6*f + 339 = 333. Suppose -l - f = h, 11*l - h + 3 = 13*l. Let w = -20/19 - 1037/152. Find the common denominator of l and w. 8 Let n = 4369 + -113573/26. Let p = 1243/15 - 426/5. What is the common denominator of n and p? 78 Let m(y) = y**2 - 6*y - 7. Let o be (-1)/(-2)*18 - 3. Let t be m(o). Let z(j) = j**2 + 8*j + 12. What is the lowest common multiple of z(t) and 6? 30 Suppose 723 - 19 = 85*b - 656. What is the lowest common multiple of 80 and b? 80 Suppose -3*z = -4*i - 50, -3*z - 5 = -z + 5*i. Suppose 0 = 3*d - 3, 6*d - z*d = -2*j + 374. Find the common denominator of 70/27 and 77/j + -1 + 0. 27 Calculate the lowest common multiple of 35 and (69/9)/(220/3300). 805 Let r = -5/43 + 22/559. Let i = -190/273 - r. Calculate the common denominator of i and 7/3. 21 Suppose 0*n + 5*q = -n + 22, 3*q = -n + 24. Let h(v) be the first derivative of 3*v**2/2 + 6*v - 14. What is the smallest common multiple of h(3) and n? 135 Let m(q) = -q**3 + 14*q**2 - 21*q - 23. Calculate the smallest common multiple of 46/5*((-665)/38)/(-7) and m(12). 299 Let x(i) be the third derivative of i**5/60 - 13*i**4/12 - 25*i**3/2 - 18*i**2. What is the least common multiple of 878 and x(29)? 5268 Let p be 24/(-32) - (1 + 159/12). Let u = p - -168. What is the lowest common multiple of u and 24? 1224 Let d = 40/4047 + -153281/631332. Find the common denominator of d and 44/3159. 12636 Let f = -2341 + 28033/12. Let i = 25243 - 1363211/54. Find the common denominator of i and f. 108 Let g be 224/105 + (-2)/15. Suppose -n - 5451 = g*n + 2*u, 3*u = -4*n - 7269. Let b = -21665/12 - n. Calculate the common denominator of -79/12 and b. 12 Let o be (1212/(-1010))/(16/(-10) - -1). What is the least common multiple of 87 and 20054/370 + o + (-22)/10? 1566 Suppose 4*a + g + 3 = -44, 2*g = a + 14. Suppose 5*w - 28 = 102. Let c = w + a. What is the smallest common multiple of c and 16? 112 Let i(d) = d**3 - 54*d**2 - 291*d + 60. What is the lowest common multiple of i(59) and 407? 3256 Let l(x) = -x**3 - 10*x**2 - 16*x + 3. Let n be l(-8). Suppose g = -3*r + n, 5*r + 6 = g - 5. Calculate the least common multiple of 8 and g. 24 Let u = -45114/11 - -3520091/858. Let z be (67/2)/(4/232). Let a = z + -31123/16. What is the common denominator of a and u? 624 Let s be (-3709)/3 + (3 - 2). Let j = s + 1220. Calculate the common denominator of 25/14*49/(-42) and j. 12 Suppose 5*x + 3*g + 5 = -2*g, g - 8 = 2*x. Let m = -258169/20 + 12911. What is the common denominator of m and (x/(108/87))/(9/30)? 180 Let j = 187 + -297. Let w = 158 + j. What is the least common multiple of w and 10? 240 Let l = -2172 + -1790. Let k = -23839/6 - l. Let t = 183067/35430 - 2/5905. Find the common denominator of t and k. 6 Let p(v) = 4*v**2 + 50*v + 22. Let y be p(-16). Let u = y - 1941/8. Calculate the common denominator of u and 111/28. 56 Suppose -5*f + 0*o - 3*o + 822 = 0, 0 = -5*o - 5. Suppose 7*w - 473 = -f. Calculate the smallest common multiple of w and 56. 616 Suppose -20 = -9*d - 107 + 303. Suppose 0 = 4*h - 67 - 293. Suppose k = -2*k + h. What is the least common multiple of k and d? 120 Suppose 399*j = 400*j - 2. Let z(g) = -63*g + 130. What is the smallest common multiple of 32 and z(j)? 32 Suppose 2*b - 19 = -7. Let g(p) = -p**2 + 5*p + 4. Let v be g(b). Calculate the lowest common multiple of 4 and 4 + 4/v + 4. 12 Suppose 0*l + 3*l - 3*w = 1569, -4*l - w = -2112. Suppose l + 43 = y - 4*t, -3*y + 2*t = -1660. What is the smallest c
{ "pile_set_name": "DM Mathematics" }
/5 = 0? -2, 318 Factor -4*u**2 - 56*u - 96. -4*(u + 2)*(u + 12) Factor 51*j**2/2 + 45*j/2 - 3. 3*(j + 1)*(17*j - 2)/2 Factor 3*o**4/2 + 9*o**3/2 - 15*o**2/2 - 9*o/2 + 6. 3*(o - 1)**2*(o + 1)*(o + 4)/2 Factor -s**3 - 14*s**2 - 44*s - 40. -(s + 2)**2*(s + 10) Find a, given that 2*a**5 + 131*a**4/2 + 451*a**3/2 + 467*a**2/2 + 85*a/2 - 29 = 0. -29, -2, -1, 1/4 Factor -5*v**2 + 35*v. -5*v*(v - 7) Factor 2*q**2/11 - 13616*q/11 + 23174432/11. 2*(q - 3404)**2/11 Suppose -9*w**5 + 24*w**4 + 9*w**3 - 36*w**2 - 12*w = 0. Calculate w. -1, -1/3, 0, 2 Factor -2*a**3/11 - 10356*a**2/11 - 17874456*a/11 - 10283770352/11. -2*(a + 1726)**3/11 Factor -z**2/4 + 33*z/4. -z*(z - 33)/4 Factor 4*z**2/7 - 150*z/7 + 74/7. 2*(z - 37)*(2*z - 1)/7 Find f such that f**4 + 2*f**3 - 24*f**2 = 0. -6, 0, 4 Let -3*r**3 + 39*r**2 - 153*r + 189 = 0. What is r? 3, 7 Factor -z**4 - 80*z**3 + 163*z**2 - 82*z. -z*(z - 1)**2*(z + 82) Factor 5*w**3/4 + 1537*w**2/4 + 307*w/2. w*(w + 307)*(5*w + 2)/4 What is d in -d**5/2 + 12*d**4 - 183*d**3/2 + 148*d**2 + 864*d - 2304 = 0? -3, 3, 8 Find b, given that b**4 + 8*b**3 + 18*b**2 - 27 = 0. -3, 1 Solve n**4/3 + n**3 - 5*n**2 + 17*n/3 - 2 = 0 for n. -6, 1 Solve 16*l**5/7 - 6*l**4/7 - 48*l**3/7 + 50*l**2/7 - 12*l/7 = 0. -2, 0, 3/8, 1 Find x, given that -8*x**2 + 2540*x - 2532 = 0. 1, 633/2 Find r such that -4*r**5 + 10*r**4 - 2*r**3 - 4*r**2 = 0. -1/2, 0, 1, 2 Suppose -4*z**2/9 - 212*z/9 = 0. What is z? -53, 0 Let 4*m**2 + 452*m + 448 = 0. Calculate m. -112, -1 Let t**2/3 + 97*t/3 + 460/3 = 0. Calculate t. -92, -5 Factor -i**5/5 - 161*i**4/5 - 1247*i**3 + 19681*i**2/5 - 20008*i/5 + 6724/5. -(i - 1)**3*(i + 82)**2/5 Factor 24*t**2/7 + 3*t/7 - 27/7. 3*(t - 1)*(8*t + 9)/7 Solve -2*i**3/13 + 230*i**2/13 - 8704*i/13 + 108664/13 = 0. 34, 47 Let -b**3/4 + 30*b**2 - 837*b - 3844 = 0. What is b? -4, 62 Let -3*t**3 + 6*t**2 + 27*t - 54 = 0. Calculate t. -3, 2, 3 Factor 5*z**4 - 40*z**3 + 30*z**2 + 40*z - 35. 5*(z - 7)*(z - 1)**2*(z + 1) Factor s**4 - 11*s**2 + 18*s - 8. (s - 2)*(s - 1)**2*(s + 4) Factor 3*g**3 + 149*g**2 + 238*g - 96. (g + 2)*(g + 48)*(3*g - 1) Find v, given that -2*v**5/3 + 26*v**4/3 + 4*v**3/3 - 52*v**2/3 - 2*v/3 + 26/3 = 0. -1, 1, 13 Factor 3*k**3/5 + 17*k**2/5 + 22*k/5 + 8/5. (k + 1)*(k + 4)*(3*k + 2)/5 Solve -3*a**5/4 + 3*a**4/4 + 57*a**3/4 + 33*a**2/4 - 45*a/2 = 0. -3, -2, 0, 1, 5 Factor -o**3/3 - o**2/3 + o/3 + 1/3. -(o - 1)*(o + 1)**2/3 Factor -2*d**3 + 4*d**2 + 30*d - 72. -2*(d - 3)**2*(d + 4) Let 5*t**5 + 50*t**4 + 180*t**3 + 270*t**2 + 135*t = 0. What is t? -3, -1, 0 Factor u**5/4 + 74*u**4 + 147*u**3. u**3*(u + 2)*(u + 294)/4 Solve s**5/3 - 8*s**4/3 - 20*s**3/3 - 2*s**2/3 + 19*s/3 + 10/3 = 0. -1, 1, 10 Suppose 2*w**4 - 158*w**3 + 3624*w**2 - 19872*w + 31104 = 0. What is w? 3, 4, 36 Factor -4665027*b**3 - 9345018*b**2 - 29940*b - 24. -3*(b + 2)*(1247*b + 2)**2 Factor -5808*s**4 - 35112*s**3 - 53859*s**2 - 2394*s - 27. -3*(s + 3)**2*(44*s + 1)**2 Determine r, given that -r**2/3 - 4*r/3 = 0. -4, 0 Factor -5*w**4 - 80*w**3 - 140*w**2. -5*w**2*(w + 2)*(w + 14) Factor 3*q**2 + 66*q + 63. 3*(q + 1)*(q + 21) Factor 3*s**2 - 252*s. 3*s*(s - 84) Factor 4*h**2 + 7776*h + 3779136. 4*(h + 972)**2 Factor -2*c**2/15 + 18*c/5 - 304/15. -2*(c - 19)*(c - 8)/15 Find l, given that 5*l**2 + 35*l - 150 = 0. -10, 3 Let -2*q**2/13 - 2*q + 28/13 = 0. What is q? -14, 1 Let 3*g**4 + 15*g**3 + 24*g**2 + 12*g = 0. What is g? -2, -1, 0 Solve 3*o**5 + 1227*o**4 + 166455*o**3 + 7376217*o**2 - 15428118*o = 0. -137, 0, 2 Suppose 2*t**5/7 - 52*t**4/7 - 298*t**3/7 - 380*t**2/7 + 232*t/7 + 496/7 = 0. Calculate t. -2, 1, 31 Factor -2*i**4/11 - 1132*i**3/11 - 213192*i**2/11 - 13288212*i/11 + 13502538/11. -2*(i - 1)*(i + 189)**3/11 Let -5*d**4 + 20*d**3 + 85*d**2 - 300*d = 0. Calculate d. -4, 0, 3, 5 Factor 5*c**5 - 50*c**4 + 40*c**3 + 50*c**2 - 45*c. 5*c*(c - 9)*(c - 1)**2*(c + 1) Suppose 2*j**3 + 28*j**2 - 34*j - 60 = 0. Calculate j. -15, -1, 2 Factor 2*s**2/9 + 140*s/9 - 592/9. 2*(s - 4)*(s + 74)/9 Determine g so that -3*g**3/7 + 3*g**2/7 + 12*g/7 - 12/7 = 0. -2, 1, 2 Factor 2*q**2/13 - 96*q/13 + 1152/13. 2*(q - 24)**2/13 Factor 12*g**4 + 4*g**3. 4*g**3*(3*g + 1) Factor -2*l**2/19 - 902*l/19 + 904/19. -2*(l - 1)*(l + 452)/19 Solve b**4 + 106*b**3 - 4*b**2 - 424*b = 0. -106, -2, 0, 2 Factor -2*a**3 + 26*a**2 - 44*a. -2*a*(a - 11)*(a - 2) Factor 6*h**3 + 2452*h**2 + 4074*h + 1628. 2*(h + 1)*(h + 407)*(3*h + 2) Factor -2*v**2/7 + 4576*v/7 - 2617472/7. -2*(v - 1144)**2/7 Suppose 2*t**5/13 - 194*t**4/13 - 808*t**3/13 = 0. Calculate t. -4, 0, 101 Factor -2*d**4/9 + 2*d**3/3 - 4*d**2/9. -2*d**2*(d - 2)*(d - 1)/9 Factor -2*o**2 - 18*o + 20. -2*(o - 1)*(o + 10) Find i, given that 2*i**3 + 194*i**2 - 196*i = 0. -98, 0, 1 Factor -h**2/2 + 555*h/2 - 553. -(h - 553)*(h - 2)/2 Factor m**4 + 34*m**3 + 384*m**2 + 1440*m. m*(m + 10)*(m + 12)**2 Let 5*g**3 - 460*g**2 + 455*g = 0. What is g? 0, 1, 91 Factor -2*m**3 + 296*m**2/5 - 426*m - 180. -2*(m - 15)**2*(5*m + 2)/5 Factor 3*b**3 + 59*b**2 - 83*b + 21. (b - 1)*(b + 21)*(3*b - 1) Find u such that 2*u**5 + 96*u**4 + 1138*u**3 - 660*u**2 - 7488*u + 6912 = 0. -24, -3, 1, 2 Factor 3*c**3/2 - 3*c/2. 3*c*(c - 1)*(c + 1)/2 Factor 2*j**5 - 22*j**4 + 36*j**3 + 4*j**2 - 38*j + 18. 2*(j - 9)*(j - 1)**3*(j + 1) Determine h so that 4*h**4 - 40*h**3 + 96*h**2 + 128*h - 512 = 0. -2, 4 Factor -155*z**4 - 165*z**3 - 10*z**2. -5*z**2*(z + 1)*(31*z + 2) Factor -2*o**3/5 - 472*o**2/5 - 5474*o + 56644/5. -2*(o - 2)*(o + 119)**2/5 Factor -k**5/4 + 199*k**4/4 + 50*k**3. -k**3*(k - 200)*(k + 1)/4 Suppose 3*h**3 - 756*h**2 - 759*h = 0. Calculate h. -1, 0, 253 Factor 10*w**3 + 38805*w**2 + 37655400*w + 18818000. 5*(w + 1940)**2*(2*w + 1) Factor -k**3/4 - 837*k**2/4 + 840*k - 841. -(k - 2)**2*(k + 841)/4 Factor 48*q**2 - 1876*q + 156. 4*(q - 39)*(12*q - 1) What is j in 8*j**2/3 - 56*j/3 + 98/3 = 0? 7/2 Suppose -3*k**4 - 171*k**3 - 2343*k**2 + 2871*k + 5046 = 0. Calculate k. -29, -1, 2 Determine b, given that -3*b**5 + 441*b**4 - 15534*b**3 - 49278*b**2 - 50175*b - 16875 = 0. -1, 75 Factor -4*c**3 - 24*c**2 + 16*c + 96. -4*(c - 2)*(c + 2)*(c + 6) Factor x**5 + 9*x**4 + 22*x**3 - 32*x. x*(x - 1)*(x + 2)*(x + 4)**2 Let 450*n**4 + 6180*n**3 + 20378*n**2 - 5768*n + 392 = 0. Calculate n. -7, 2/15 Let 28*b**3 + 2*b**2 = 0. Calculate b. -1/14, 0 What is r in r**3 + 180*r**2 + 8277*r + 15842 = 0? -89, -2 Let 1116*f**5 + 3312*f**4 + 3612*f**3 + 5096*f**2/3 + 272*f - 32/3 = 0. Calculate f. -1, -2/3, 1/31 Factor 726*k**3 + 4422*k**2 + 795*k/2 + 9. 3*(k + 6)*(22*k + 1)**2/2 Suppose 3*m**2/4 + 3*m - 45 = 0. What is m? -10, 6 Let 4*j**4 + 110*j**3 + 822*j**2 + 754*j - 1690 = 0. What is j? -13, -5/2, 1 Determine p so that -6*p**2/5 + 146*p/5 + 432/5 = 0. -8/3, 27 Factor 3*i**4 - 84*i**3 + 882*i**2 - 4116*i + 7203. 3*(i - 7)**4 Factor -x**3/3 - 29*x**2/3 - 60*x - 84. -(x + 2)*(x + 6)*(x + 21)/3 Find c, given that c**4/2 + 21*c**3 - 3*c**2/2 - 64*c - 42 = 0. -42, -1, 2 Factor h**2/5 + 32*h + 159/5. (h + 1)*(h + 159)/5 Let 4*n**2/5 - 3232*n/5 = 0. What is n? 0, 808 Find h, given that h**2 + 50*h - 275 = 0. -55, 5 Determine x, given that 2*x**2 - 19*x + 9 = 0. 1/2, 9 Solve -14*i**5/5 - 88*i**4/5 - 202*i**3/5 - 40*i**2 - 72*i/5 = 0. -2, -9/7, -1, 0 Suppose j**2 - 107*j - 1170 = 0. Calculate j. -10, 117 Factor -5*u**2 - 145*u - 500. -5*(u + 4)*(u + 25) Let 4*n**3/5 + 76*n**2/5 - 1344*n/5 + 4464/5 = 0. Calculate n. -31, 6 Suppose 6*m**2/11 - 82260*m/11 + 281946150/11 = 0. What is m? 6855 Factor -2*h**2/3 + 9116*h/3 - 10387682/3. -2*(h - 2279)**2/3 Factor -5*n**4 + 125*n**3 - 945*n**2 + 2035*n - 1210. -5*(n - 11)**2*(n - 2)*(n - 1) Factor -2*c**3/9 - 668*c**2/9 - 56440*c/9 - 110224/9. -2*(c + 2)*(c + 166)**2/9 Determine q so that -22*q**5/13 - 158*q**4/13 - 138*q**3/13 + 134*q**2/13 + 160*q/13 + 24/13 = 0. -6, -1, -2/11, 1 Factor 4*q**2 + 396*q. 4*q*(q + 99) Factor -3*i**2/4 - 55*i/4 + 19/2. -(i + 19)*(3*i - 2)/4 Factor -2*v**3/11 - 28*v**2/11 - 26*v/11. -2*v*(v + 1)*(v + 13)/11 Factor 8000*k**5/11 - 17200*k**4/11 + 10460*k**3/11 - 1321*k**2/11 + 62*k/11 - 1/11. (k - 1)**2*(20*k - 1)**3/11 Let -4*x**4/3 - 20*x**3 + 24*x**2 + 128*x/3 = 0. Calculate x. -16, -1, 0, 2 Solve -5*j**5 + 205*j**3 - 780*j**2 + 1060*j - 480 = 0 for j. -8, 1, 2, 3 Factor -2*w**4/13 - 22*w**3/13 + 50*w**
{ "pile_set_name": "DM Mathematics" }
ate j(3). 188 Let o(n) = -29*n**3 - 68*n**2 - 2*n - 12. Determine o(-4). 764 Let z(q) = -3*q**3 + 9*q**2 + 13*q - 19. Determine z(6). -265 Let w(o) = 2*o**2 + 57*o - 1025. Determine w(17). 522 Let k(d) = 2*d**2 - 295*d + 1011. Give k(140). -1089 Let v(f) = 6436*f - 12969. Give v(2). -97 Let x(h) = -14*h**3 - 137*h**2 - 214*h + 116. Determine x(-2). 108 Let i(h) = -h**3 + 20*h**2 + 216*h - 1542. Calculate i(26). 18 Let u(o) = -o**3 + 57*o**2 - 12*o + 2695. What is u(58)? -1365 Let m(w) = 11*w**2 - 419*w - 1874. Give m(-4). -22 Let t(o) = -841*o**3 + 14*o**2 - 29*o + 16. What is t(1)? -840 Let t(z) = 2516*z - 128851. What is t(51)? -535 Let g(k) = 13*k**3 - 9*k**2 + 34*k + 98. Determine g(-2). -110 Let s(y) = -2285*y**2 - 6850*y - 4. What is s(-3)? -19 Let u(f) = 550*f**2 - 20895*f - 186. Determine u(38). 4 Let n(k) = 11*k**3 - 873*k**2 + 319*k - 237. Determine n(79). 0 Let p(h) = -4071*h - 240198. Determine p(-59). -9 Let k(l) = -9*l**3 + 490*l**2 - 695*l + 320. What is k(53)? 2 Let i(p) = -9*p**3 + 32*p**2 - 124*p + 750. Calculate i(5). -195 Let t(j) = j**2 - 1129*j + 26687. Calculate t(24). 167 Let c(g) = -64*g**3 + 21*g**2 + 94*g + 57. What is c(-3)? 1692 Let u(x) = 11*x**2 - 1139*x + 468. Give u(104). 988 Let y(q) = 2*q**3 - 133*q**2 - 12849*q + 959. Determine y(120). -121 Let s(x) = -x**2 + 196*x + 31339. Determine s(-105). -266 Let m(s) = -99*s**2 + 917*s - 106. Give m(9). 128 Let a(l) = 137*l**2 - 834*l - 87. Calculate a(6). -159 Let t(l) = 201*l**3 + 1004*l**2 - 33*l - 160. Calculate t(-5). -20 Let v(n) = 5*n - 18. What is v(5)? 7 Let k(m) = -m**3 - 40*m**2 - 366*m + 280. Calculate k(-24). -152 Let c(q) = 2*q**2 + 8066*q - 64585. Calculate c(8). 71 Let x(i) = -i**3 + 117*i**2 - 1071*i + 115. Determine x(107). 8 Let s(l) = 137*l**2 - 257*l + 116. Determine s(1). -4 Let p(z) = -115*z**2 - 18124*z + 120708. Give p(-164). 4 Let v(w) = 7*w**3 - 10*w**2 - 20610*w - 20600. Give v(-1). -7 Let n(y) = -4*y**3 - 61*y**2 - 2*y - 1859. Calculate n(0). -1859 Let l(a) = 2028*a - 70173. Calculate l(35). 807 Let d(t) = -10*t**2 + 3455*t + 13678. Give d(349). 1463 Let x(z) = -1044*z + 52126. Determine x(50). -74 Let m(v) = -6903*v + 158718. Calculate m(23). -51 Let i(v) = -5331*v - 5192381. What is i(-974)? 13 Let f(d) = -17*d**3 + 18*d**2 - 17*d - 14. Calculate f(-4). 1430 Let j(o) = -o**3 - 61*o**2 - 267*o + 12322. What is j(-51)? -71 Let a(m) = m**3 - 590*m + 295. Give a(24). -41 Let q(i) = -i**2 - 35*i - 118. Calculate q(12). -682 Let w(f) = -f**2 + 477*f + 9424. Determine w(-19). 0 Let p(w) = 2*w**2 - 1033*w - 11350. Give p(-11). 255 Let i(f) = -4*f**3 - 75*f**2 - 321*f - 6445. Give i(-19). 15 Let y(b) = 12*b**2 - 9024*b - 54585. What is y(-6)? -9 Let f(a) = -a**3 - 30*a**2 + 4149*a + 121308. What is f(-29)? 146 Let m(y) = -y**3 + 168*y**2 + 2472*y + 13822. What is m(182)? -10 Let y(c) = -15349*c + 168873. What is y(11)? 34 Let w(r) = 3*r**2 + 4820*r + 52757. Calculate w(-11). 100 Let y(c) = -309*c**2 - 8341*c + 55. What is y(-27)? 1 Let p(s) = -283*s + 53. What is p(-11)? 3166 Let i(y) = 31*y**3 - 2019*y**2 + 219*y + 2684. Give i(65). 19 Let g(a) = a**3 + 65*a**2 + 133*a + 1143. Give g(-63). 702 Let i(q) = 4439*q + 426143. Determine i(-96). -1 Let h(n) = -26*n**3 - 859*n**2 - 31*n - 109. Give h(-33). -175 Let m(n) = 11*n**3 - 128*n**2 + 379*n - 42. What is m(6)? 0 Let g(l) = -323*l + 26076. Calculate g(82). -410 Let u(o) = 2*o**2 + 3460*o + 1444621. Determine u(-1026). 13 Let d(s) = 2*s**3 - 69*s**2 - 75*s - 201. Determine d(35). -1601 Let i(j) = -36*j**2 + 1867*j + 12464. Give i(-6). -34 Let y(m) = 4212*m - 10399427. What is y(2469)? 1 Let y(b) = b**2 - 132*b + 1736. Give y(14). 84 Let i(m) = -9807*m - 48973. Give i(-5). 62 Let u(r) = 198883*r + 1193274. Calculate u(-6). -24 Let q(o) = -o**3 - 36*o**2 - 360*o - 173. What is q(-19)? 530 Let d(a) = 35*a**3 + 3777*a**2 - 322*a + 180. What is d(-108)? -36 Let p(b) = 6*b**3 - 22*b**2 - 130*b + 449. What is p(5)? -1 Let g(m) = -16002*m + 160073. What is g(10)? 53 Let u(m) = 3333*m + 1603168. Give u(-481). -5 Let t(m) = -7*m**2 + 10070*m + 302411. Calculate t(1468). 3 Let m(q) = 82*q**2 + 9*q + 11. What is m(-1)? 84 Let h(r) = -21482*r - 13. Calculate h(0). -13 Let r(z) = -2*z**2 + 4916*z - 19678. What is r(4)? -46 Let v(k) = 3*k**3 - 446*k**2 + 310*k - 2142. What is v(148)? -70 Let b(s) = -s**2 - 1213*s - 24155. What is b(-20)? -295 Let n(r) = -33*r**3 + 19236*r**2 + 1743*r + 3442. Calculate n(583). -56 Let y(i) = 3063*i + 23867. What is y(-8)? -637 Let o(h) = -5*h**2 - 313*h - 1050. Determine o(-59). 12 Let x(s) = -30*s**3 + 975*s**2 - 481*s + 23. Calculate x(32). -9 Let y(p) = -1673*p - 4236. What is y(-2)? -890 Let k(d) = d**3 + 40*d**2 + 197*d + 718. What is k(-35)? -52 Let a(q) = 12*q**2 + 5877*q + 35261. Calculate a(-6). 431 Let o(w) = 14772*w - 590888. Calculate o(40). -8 Let w(d) = 79*d**3 - 790*d**2 + 142*d - 1441. Determine w(10). -21 Let t(i) = 2*i**3 - 132*i**2 + 1374*i + 426. What is t(53)? 214 Let w(u) = 2*u**2 + 1217*u - 206024. What is w(138)? 10 Let m(z) = -916*z - 13512. What is m(-15)? 228 Let q(j) = -33260*j + 66532. Calculate q(2). 12 Let i(a) = -31*a**2 + 55761*a - 111513. Give i(2). -115 Let y(c) = -25565*c - 358090. What is y(-14)? -180 Let z(s) = -s**3 - 45*s**2 + 356*s - 443. Determine z(-52). -27 Let n(w) = 933*w - 42919. What is n(46)? -1 Let f(w) = -50499*w - 51086. Give f(-1). -587 Let m(d) = -d**3 + 160*d**2 - 126*d + 19945. Calculate m(160). -215 Let r(x) = 2*x**3 - 1180*x**2 + 6974*x + 19838. Determine r(584). -18 Let c(u) = 6*u**3 - 111*u**2 - 348*u + 3390. What is c(20)? 30 Let o(a) = -713983*a + 2855936. Give o(4). 4 Let u(r) = 4737*r - 18. What is u(0)? -18 Let s(z) = 75*z**2 - 686*z - 1370. Calculate s(-2). 302 Let z(d) = -35280*d + 34893. Determine z(1). -387 Let u(b) = 64*b**2 + 133*b + 107. Determine u(-5). 1042 Let c(p) = 450*p**2 - 5402*p + 16. Determine c(12). -8 Let r(y) = -4484*y + 67284. Calculate r(15). 24 Let h(l) = 3237*l + 29878. What is h(-9)? 745 Let m(c) = -5*c**2 + 1896*c - 17021. Calculate m(370). -1 Let a(p) = -p**3 - 357*p**2 - 862*p + 70795. What is a(-354)? -5 Let z(p) = 8064*p - 80758. Calculate z(10). -118 Let l(c) = 39*c**3 + 5*c**2 - 6*c - 28. Calculate l(-3). -1018 Let b(k) = k**2 - 95*k - 224. Determine b(9). -998 Let t(l) = 4*l**2 + 83*l - 1703. Give t(-33). -86 Let b(y) = 6*y**2 - 79*y + 257. Determine b(6). -1 Let h(z) = -591*z + 2154. Calculate h(2). 972 Let j(m) = m**3 - 180*m**2 + 258*m + 17063. What is j(178)? -381 Let n(g) = 11921*g**2 + 23843*g + 1. Give n(-2). -1 Let a(i) = -30661*i - 1349092. What is a(-44)? -8 Let c(t) = 32*t - 1911. Determine c(56). -119 Let w(g) = -171*g**2 + 19503*g - 1050. Give w(114). -24 Let v(z) = -3*z**2 + 1830*z + 1713591. Give v(-510). -9 Let p(d) = 600*d**2 - 12*d + 42. Calculate p(0). 42 Let b(v) = -v**3 + 7*v**2 + 385*v + 325. Calculate b(-16). 53 Let q(h) = 10*h**2 + 5507*h + 63074. Determine q(-539). 11 Let k(v) = 223151*v - 446315. Give k(2). -13 Let q(f) = -f**3 + 21*f**2 - 17*f + 72. Calculate q(22). -786 Let x(t) = t**3 + 40*t**2 + 1824*t + 69614. Calculate x(-39). -1 Let o(m) = m**3 + 2*m**2 - 52*m + 91. Determine o(5). 6 Let k(i) = -30*i**3 - 4501*i**2 - 166*i - 2324. Calculate k(-150). 76 Let k(p) = -92385*p - 1662934. Determine k(-18). -4 Let c(g) = g**2 + 140950*g + 1268472. Give c(-9). 3 Let l(b) = 697*b - 12974. Determine l(19). 269 Let m(c) = -17013*c - 561438. Give m(-33). -9 Let y(b) = -17*b**3 + 156*b**2 - 35*b + 112. Calculate y(9). 40 Let f(i) = 16*i**2 + 231*i + 631. Calculate f(-7). -202 Let g(j) = 101221*j - 1012154. Determine g(10). 56 Let z(b) = -22*b**2 + 814*b - 47. What is z(37)? -47 Let f(m) = 4*m**2 + 1358*m + 22373. Determine f(-17). 443 Let n(k) = -4179*k + 25263. What is n(6)? 189 Let m(j) = 16044*j - 3625924. What is m(226)? 20 Let z(y) = -244*y - 15091. Give z(-62). 37 Let s(c) = 769*c + 232452. Determine s(-302). 214 Let w(s) = 4*s**3 + 15*s**2 - 74*s + 54. What is w(5)? 559 Let c(r) = -r**3 - 13*r**2 - 312*r - 5056. Calculate c(-16). 704 Let l(s) = 2703*s**2 + 335210*s + 4711. Give l(-124). -1 Let l(p) = 2*p**3 + 265*p**2 + 408*p + 1835. Determine l(-131). -130 Let w(v) = v**2 - 11863*v + 319567. Calculate w(27). -5 Let t(y) = -1245*y - 58536. Give t(-47).
{ "pile_set_name": "DM Mathematics" }
e second biggest value in 14, 1/3, -15? 1/3 Which is the fourth biggest value? (a) -1/4 (b) -319 (c) -2 (d) -0.5 (e) 5 c What is the smallest value in 0, 1/10, 2.42, 0.5? 0 What is the second smallest value in 30/17, 2, 0.22? 30/17 Which is the biggest value? (a) -21 (b) -2/13 (c) -0.87 b Which is the fourth smallest value? (a) -2 (b) -0.013 (c) 4 (d) -0.1 (e) 1/4 e What is the fifth biggest value in -1/4, 12, -5, -0.06, 3? -5 What is the second smallest value in -4/13, -2/3, 2/13, 0.4, 5? -4/13 What is the fifth smallest value in 47, 0.6, 0.5, -3, -0.1? 47 Which is the third biggest value? (a) 1/14 (b) 0.06 (c) -5 (d) 0.1 b Which is the smallest value? (a) 40 (b) -6 (c) 5 (d) -1/8 b What is the third biggest value in -2, -3, -158? -158 Which is the third biggest value? (a) 3/8 (b) 1/7 (c) 45/2 b What is the second smallest value in 0.231, 0, 4, -1/3? 0 Which is the third smallest value? (a) 0.521 (b) 1/7 (c) 0.4 a What is the third biggest value in -2, -3, 6, -3/10? -2 What is the third biggest value in -0.02, -1/2, 7? -1/2 What is the fifth smallest value in 4, -1/4, -4, -0.21, -5? 4 What is the third smallest value in 0.5, 14/9, 0.1? 14/9 What is the second biggest value in -4, 118, 2? 2 Which is the third smallest value? (a) 0 (b) -0.227 (c) -1/3 (d) -1/2 (e) -10 c What is the smallest value in -2, 1/11, 0.03, 3, 4? -2 What is the second biggest value in 0, -0.2, 28? 0 What is the biggest value in -1, 13, -4/5? 13 Which is the third biggest value? (a) 5/3 (b) -1 (c) 0.057 (d) 1/6 (e) 0.3 d Which is the fourth smallest value? (a) 0.04 (b) -5 (c) 0.075 (d) -1/4 (e) 0 a What is the fourth biggest value in -11, 0, 2/11, 1/3? -11 Which is the third smallest value? (a) 2/9 (b) -2074 (c) -0.2 a What is the third biggest value in -1/3, -3/11, 0? -1/3 What is the fourth smallest value in 3, -0.2, -2/7, 11/2? 11/2 What is the fourth biggest value in 0.1, 1, -4, -13, 1/3? -4 Which is the second biggest value? (a) -2 (b) 0.2 (c) 2 (d) 1 d What is the smallest value in 1/5, 3, -2, 1? -2 Which is the third smallest value? (a) 2/5 (b) -2/9 (c) 0.01 a Which is the fourth smallest value? (a) -368 (b) -4 (c) -2 (d) -0.2 d Which is the third smallest value? (a) -2/5 (b) -1 (c) -2 (d) 0.2 a What is the third smallest value in 1, -0.1, 11, -1? 1 Which is the biggest value? (a) 0.694 (b) 1 (c) 5 (d) 0 c Which is the fifth biggest value? (a) 2/3 (b) 1/4 (c) 30 (d) -3/5 (e) 4 d Which is the biggest value? (a) 25 (b) 2 (c) -1/8 a Which is the biggest value? (a) -5 (b) 2 (c) -22/7 b What is the smallest value in -3/7, 1/7, 3? -3/7 Which is the second biggest value? (a) -1/3 (b) -1.4 (c) -3 b What is the third smallest value in 0.3, -41, 2/9, 1? 0.3 Which is the second smallest value? (a) 2/7 (b) 3 (c) 0.58 (d) -4 (e) 3/2 a What is the second smallest value in 0, -0.5, -579, -0.4, -4? -4 Which is the third smallest value? (a) -1.3 (b) -5 (c) 25 c Which is the second smallest value? (a) 336 (b) -3/4 (c) 0.4 (d) 2/11 d Which is the smallest value? (a) -0.4 (b) 1/4 (c) -224 c Which is the biggest value? (a) -161 (b) -21 (c) 1 c What is the fourth smallest value in 1, 0.6, -16, -0.16? 1 What is the fourth biggest value in -71, 0.4, 35, -0.2, 3? -0.2 Which is the smallest value? (a) 0.2 (b) -2/7 (c) -0.1 (d) 0 b What is the biggest value in -4, 3, 97, -0.1? 97 Which is the biggest value? (a) 4/7 (b) -1/3 (c) 4 c Which is the second smallest value? (a) -3 (b) 2/15 (c) 0.04 c Which is the smallest value? (a) -32 (b) -36 (c) -0.2 (d) 0 (e) 0.4 b What is the third smallest value in 5/3, 2/5, -2, -22, 5? 2/5 Which is the smallest value? (a) -11 (b) -10.9 (c) -6/5 a Which is the biggest value? (a) -0.1 (b) 19 (c) 3/14 (d) 0.2 b What is the third smallest value in 2/3, 0.01, -0.1, 29? 2/3 Which is the second smallest value? (a) -2/19 (b) 1 (c) -0.11 a Which is the third biggest value? (a) -3 (b) 132 (c) 3/2 (d) -2 d What is the third smallest value in 0.5, -1/12, 5, 2? 2 What is the third biggest value in 511, 3/4, -2? -2 What is the smallest value in -2/17, -60, -1? -60 What is the third smallest value in 2/9, 1, 6, 2/5, -29? 2/5 What is the third smallest value in -34, 4/7, 0.03? 4/7 Which is the third biggest value? (a) 1 (b) 11 (c) -87 (d) 2/7 d What is the fourth biggest value in -10/13, 4, -4, 0.7? -4 Which is the third biggest value? (a) -2/9 (b) 3 (c) 0.5 (d) -3/23 (e) 2/3 c What is the third smallest value in 8, -14, 2/3? 8 Which is the third biggest value? (a) -2 (b) -26 (c) -0.4 (d) 2/5 a What is the second biggest value in 1/3, -1/7, -46, -0.05? -0.05 Which is the smallest value? (a) 3 (b) -2/3 (c) 1269 b Which is the biggest value? (a) -3 (b) 5 (c) -0.3 (d) -2/5 (e) -30 b Which is the third smallest value? (a) 4/3 (b) 0 (c) 3 (d) -0.3 a What is the second smallest value in 1/155, 0, -1/5? 0 What is the second smallest value in 2/5, 2/19, 84? 2/5 What is the fourth biggest value in 10, 0.2, -1/2, -3.8? -3.8 Which is the second smallest value? (a) 0 (b) -2 (c) 47/4 a What is the second biggest value in 0.3, -3, -0.06, -1? -0.06 What is the second biggest value in -0.03, 0.08, 0.2, 2, 5? 2 Which is the second biggest value? (a) 3 (b) -3 (c) 2/7 (d) -15 (e) 5 a What is the smallest value in 2/5, -2/3, -8, -1/5? -8 What is the third smallest value in -3, 0.11, 0.2, -115? 0.11 Which is the second biggest value? (a) 0.1 (b) 1144 (c) 1/3 c Which is the third biggest value? (a) -23 (b) 2 (c) 3/5 (d) -1 d Which is the second biggest value? (a) 0.2 (b) 5 (c) -4 a What is the third smallest value in -9/5, 8, 1/4? 8 Which is the second biggest value? (a) -2/9 (b) 3 (c) 167/3 b What is the third biggest value in 74, 3, -2, -1/21, -0.1? -1/21 What is the third biggest value in -0.4, 4.44, -2/19, -3, -0.1? -2/19 What is the smallest value in 5.1, -55, 3? -55 Which is the third biggest value? (a) -24 (b) -5 (c) 0.02 a Which is the second biggest value? (a) 0.3 (b) 0.4 (c) -14 (d) -3 (e) 0.1 a Which is the third smallest value? (a) -0.2 (b) 1/4 (c) 1.6 (d) -6 (e) 0 e What is the second biggest value in -0.5, -2, -20/9? -2 Which is the second smallest value? (a) -4 (b) 0.05 (c) 10.68 b What is the fifth smallest value in -4, -0.029, 3, 2, -3? 3 What is the third smallest value in 4/7, 1, 247/2? 247/2 What is the fifth smallest value in -1/2, 8, -5, -3/2, -0.3? 8 What is the second biggest value in 0.4, -0.3, -5.24? -0.3 Which is the biggest value? (a) -1 (b) 1.5 (c) 0.5 (d) 1.6 (e) -4 d Which is the third biggest value? (a) 4 (b) -0.1 (c) 6 b Which is the smallest value? (a) -4 (b) 2 (c) 2/11 (d) -0.1 (e) 4 a What is the biggest value in 2/15, -0.4, 1/5, 170? 170 Which is the smallest value? (a) -5/4 (b) -5 (c) -0.4 (d) 2 b What is the biggest value in 2, -3, 15.4, 1? 15.4 What is the second biggest value in 7, 1/2, 1? 1 Which is the smallest value? (a) -3 (b) -1.2 (c) 588 a Which is the biggest value? (a) 1 (b) 41 (c) -4/7 b What is the third smallest value in 3/7, 10, 1, 0, 0.4? 3/7 Which is the biggest value? (a) 0.4 (b) 4.3 (c) 121 (d) 1 (e) 3 c What is the second biggest value in -2/13, 0.1, -17, 2/5? 0.1 What is the smallest value in -56, 1/4, 1/22? -56 Which is the second biggest value? (a) 18 (b) -2/15 (c) -1/3 b Which is the fourth biggest value? (a) -1/19 (b) -0.2 (c) 0.1 (d) -276 d What is the third smallest value in 3, 4, 240? 240 What is the third smallest value in -1/7, 378, 0, -1/10? 0 What is the third smallest value in 1, -8, -1/3, 0.5? 0.5 Which is the biggest value? (a) 21 (b) -2/5 (c) 4 a Which is the fourth smallest value? (a) -3/7 (b) 0 (c) 3 (d) 13 d Which is the second biggest value? (a) 1 (b) -3 (c) -5 b What is the smallest value in 3, -2, 5, 2/19? -2 Which is the second smallest value? (a) 2/3 (b) 1/3 (c) -2/21 (d) 1 b What is the second biggest value in 0.5, -1/3, 2, 22/3? 2 Which is the biggest value? (a) -0.2 (b) 0.071 (c) -3 (d) -1/6 b Which is the third smallest value? (a) 2 (b) 1/9 (c) -2/29 a Which is the fourth smallest value? (a) -18/5 (b) -15 (c) 0.1 (d) -3/7 c What is the smallest value in 0.2, 4, 0
{ "pile_set_name": "DM Mathematics" }
are root of 77522 to the nearest integer? 278 What is 311817 to the power of 1/2, to the nearest integer? 558 What is the cube root of 34322 to the nearest integer? 32 What is the cube root of 6050816 to the nearest integer? 182 What is 95255 to the power of 1/7, to the nearest integer? 5 What is 9818905 to the power of 1/2, to the nearest integer? 3134 What is 597249 to the power of 1/2, to the nearest integer? 773 What is 607343 to the power of 1/2, to the nearest integer? 779 What is the third root of 171315 to the nearest integer? 56 What is the third root of 337295 to the nearest integer? 70 What is the eighth root of 356057 to the nearest integer? 5 What is 1006285 to the power of 1/8, to the nearest integer? 6 What is the fifth root of 2550613 to the nearest integer? 19 What is the third root of 10731147 to the nearest integer? 221 What is the third root of 2155300 to the nearest integer? 129 What is 16162425 to the power of 1/6, to the nearest integer? 16 What is 559403 to the power of 1/3, to the nearest integer? 82 What is 3807486 to the power of 1/2, to the nearest integer? 1951 What is the square root of 1107986 to the nearest integer? 1053 What is the third root of 35984 to the nearest integer? 33 What is 9391784 to the power of 1/3, to the nearest integer? 211 What is 23704848 to the power of 1/3, to the nearest integer? 287 What is 270839 to the power of 1/2, to the nearest integer? 520 What is the tenth root of 1160685 to the nearest integer? 4 What is the third root of 355589 to the nearest integer? 71 What is the third root of 314662 to the nearest integer? 68 What is the cube root of 118813 to the nearest integer? 49 What is 164777 to the power of 1/10, to the nearest integer? 3 What is 13617717 to the power of 1/2, to the nearest integer? 3690 What is 3302271 to the power of 1/4, to the nearest integer? 43 What is the sixth root of 1683782 to the nearest integer? 11 What is the cube root of 1810644 to the nearest integer? 122 What is the square root of 259601 to the nearest integer? 510 What is 896844 to the power of 1/6, to the nearest integer? 10 What is the third root of 893608 to the nearest integer? 96 What is the sixth root of 54651 to the nearest integer? 6 What is the third root of 11021752 to the nearest integer? 223 What is 1555103 to the power of 1/2, to the nearest integer? 1247 What is the square root of 3897577 to the nearest integer? 1974 What is the square root of 1854560 to the nearest integer? 1362 What is 306450 to the power of 1/2, to the nearest integer? 554 What is 804849 to the power of 1/2, to the nearest integer? 897 What is the third root of 9892 to the nearest integer? 21 What is the cube root of 234659 to the nearest integer? 62 What is 2696649 to the power of 1/8, to the nearest integer? 6 What is the fourth root of 2700558 to the nearest integer? 41 What is 11017672 to the power of 1/2, to the nearest integer? 3319 What is 948655 to the power of 1/3, to the nearest integer? 98 What is the square root of 2327509 to the nearest integer? 1526 What is 298193 to the power of 1/2, to the nearest integer? 546 What is the square root of 130769 to the nearest integer? 362 What is 68295 to the power of 1/6, to the nearest integer? 6 What is the square root of 9136803 to the nearest integer? 3023 What is the sixth root of 1271780 to the nearest integer? 10 What is 3649554 to the power of 1/2, to the nearest integer? 1910 What is the square root of 1863582 to the nearest integer? 1365 What is 43529 to the power of 1/6, to the nearest integer? 6 What is 874945 to the power of 1/8, to the nearest integer? 6 What is the tenth root of 8265165 to the nearest integer? 5 What is the third root of 193153 to the nearest integer? 58 What is 417790 to the power of 1/2, to the nearest integer? 646 What is 22885563 to the power of 1/7, to the nearest integer? 11 What is 943360 to the power of 1/2, to the nearest integer? 971 What is 399952 to the power of 1/2, to the nearest integer? 632 What is the cube root of 5336034 to the nearest integer? 175 What is 109344 to the power of 1/5, to the nearest integer? 10 What is the square root of 372733 to the nearest integer? 611 What is 20503774 to the power of 1/2, to the nearest integer? 4528 What is the square root of 3105801 to the nearest integer? 1762 What is 23864527 to the power of 1/2, to the nearest integer? 4885 What is 155831 to the power of 1/8, to the nearest integer? 4 What is the cube root of 187626 to the nearest integer? 57 What is the ninth root of 1478421 to the nearest integer? 5 What is 422574 to the power of 1/7, to the nearest integer? 6 What is 802782 to the power of 1/3, to the nearest integer? 93 What is 132478 to the power of 1/7, to the nearest integer? 5 What is 3434679 to the power of 1/5, to the nearest integer? 20 What is 534584 to the power of 1/2, to the nearest integer? 731 What is 2587 to the power of 1/7, to the nearest integer? 3 What is 248198 to the power of 1/5, to the nearest integer? 12 What is 771332 to the power of 1/7, to the nearest integer? 7 What is 1067954 to the power of 1/2, to the nearest integer? 1033 What is 183206 to the power of 1/2, to the nearest integer? 428 What is 1134010 to the power of 1/7, to the nearest integer? 7 What is the fourth root of 5939128 to the nearest integer? 49 What is the third root of 173363 to the nearest integer? 56 What is the third root of 5283285 to the nearest integer? 174 What is the cube root of 1944954 to the nearest integer? 125 What is 5717 to the power of 1/2, to the nearest integer? 76 What is 62152 to the power of 1/8, to the nearest integer? 4 What is the sixth root of 8389742 to the nearest integer? 14 What is the seventh root of 6939190 to the nearest integer? 9 What is 814558 to the power of 1/3, to the nearest integer? 93 What is the tenth root of 32450 to the nearest integer? 3 What is 1723528 to the power of 1/3, to the nearest integer? 120 What is 1458161 to the power of 1/2, to the nearest integer? 1208 What is 456166 to the power of 1/3, to the nearest integer? 77 What is 567018 to the power of 1/4, to the nearest integer? 27 What is the cube root of 347312 to the nearest integer? 70 What is the sixth root of 280895 to the nearest integer? 8 What is the seventh root of 7946974 to the nearest integer? 10 What is the eighth root of 26778465 to the nearest integer? 8 What is the cube root of 2768581 to the nearest integer? 140 What is the square root of 3138729 to the nearest integer? 1772 What is the square root of 130542 to the nearest integer? 361 What is 1040692 to the power of 1/2, to the nearest integer? 1020 What is the third root of 235524 to the nearest integer? 62 What is the third root of 246460 to the nearest integer? 63 What is 396219 to the power of 1/2, to the nearest integer? 629 What is the square root of 3717793 to the nearest integer? 1928 What is 120110 to the power of 1/3, to the nearest integer? 49 What is the ninth root of 7352738 to the nearest integer? 6 What is the fifth root of 1553087 to the nearest integer? 17 What is 3282571 to the power of 1/2, to the nearest integer? 1812 What is 66266 to the power of 1/2, to the nearest integer? 257 What is 35489 to the power of 1/6, to the nearest integer? 6 What is the seventh root of 1633333 to the nearest integer? 8 What is 19639570 to the power of 1/2, to the nearest integer? 4432 What is the fourth root of 13711194 to the nearest integer? 61 What is the ninth root of 3843444 to the nearest integer? 5 What is 983069 to the power of 1/2, to the nearest integer? 991 What is the seventh root of 138903 to the nearest integer? 5 What is the sixth root of 15003825 to the nearest integer? 16 What is 1258966 to the power of 1/6, to the nearest integer? 10 What is 416591 to the power of 1/3, to the nearest integer? 75 What is the square root of 742569 to the nearest integer? 862 What is the square root of 826190 to the nearest integer? 909 What is the square root of 731191 to the nearest integer? 855 What is 10099865 to the power of 1/3, to the nearest integer? 216 What is 6245101 to the power of 1/3, to the nearest integer? 184 What is the cube root of 16610323 to the nearest integer? 255 What is 239316 to t
{ "pile_set_name": "DM Mathematics" }
- 23. Suppose 2*f + 0*f - 78 = 0. Suppose f = z + b. What is the tens digit of z? 3 Let p = 5339 - 3412. What is the thousands digit of p? 1 Let a(o) = -o + 18. Let w be a(15). Suppose 0 = w*u - 4*u + 207. What is the units digit of (u/15)/(9/45)? 9 Suppose 17*m - 9701 = -538. What is the tens digit of m? 3 Let a(t) = 21*t + 29. Let p(k) = -10*k - 14. Let g(q) = -3*a(q) - 5*p(q). What is the tens digit of g(-10)? 1 Suppose 16 + 507 = z. What is the units digit of z? 3 Let b be 6/9 + (-14)/(-6). Let w = -1 + b. Suppose 0 = w*z - z - 17. What is the units digit of z? 7 Suppose 85 = 3*c - 2*c. Suppose c = b + 3*w, 110 = -3*b - 3*w + 377. What is the units digit of b? 1 Let q be (-8)/(-5) - (-4)/10. Suppose -u + q*d + d = -13, 0 = -4*u - d. Suppose 0 = -3*f - u + 58. What is the units digit of f? 9 Let q(j) be the second derivative of -8*j**3/3 + 4*j**2 + j. What is the units digit of q(-5)? 8 Let y = -5 - -13. Let b be (-6)/(-5)*20/y. Suppose b*a + 78 = 6*a. What is the units digit of a? 6 Let a = -16 + 67. What is the units digit of a - 0/(-7 + 4)? 1 Let v(j) = 0*j**2 + 4*j**2 + j**2 + 5*j. What is the units digit of v(3)? 0 Let h(d) = -d**3 - 4*d**2 - 5*d - 3. Let t(x) = -x. Let c be t(0). Suppose 4*u + 4*y = -c*y, u + 5*y - 12 = 0. What is the units digit of h(u)? 3 Suppose 0 = -4*q + 3*q + 2. Suppose 2*p = 2*a + q, -p + 7*a = 2*a + 19. Suppose -3*x - 30 = -p*x. What is the units digit of x? 0 Let c be (-7 - -1)/(16/192). Let p = c + 113. What is the units digit of p? 1 Suppose c + 0*c = 8. Let f = c + -23. What is the tens digit of 130/f*6/(-2)? 2 Suppose 88357 = 33*m - 43874. What is the hundreds digit of m? 0 Suppose 1 = 3*c + 5*v, 1 = -c - 4*v - 1. What is the tens digit of 10*(c - (-1 + 1))? 2 Let i be 0/((-10)/5) - -4. Suppose -i*z + 10 = -214. What is the units digit of z? 6 Suppose -16*s + 18 = -19*s. Let y(n) = -n**2 - 9*n - 10. What is the units digit of y(s)? 8 Let d(f) = f + 14. Let o be d(-14). Suppose o*r = 3*r - 324. Let z = r + -59. What is the tens digit of z? 4 Suppose -4*k = 3*s - 0*s - 24, -3*k - 5*s = -29. Suppose 0 = 3*c - 2*g + 6*g - 38, 2*c - k*g - 48 = 0. Let o = 32 - c. What is the units digit of o? 4 Let b be ((-12)/(-30))/((-1)/55*-1). Suppose -b*d + 250 = -20*d. What is the units digit of d? 5 Let m = -8988 + 15242. What is the hundreds digit of m? 2 Suppose -w - 70 = -5*t, 3*t + 5*w - 11 = 3. Let v = 0 - t. What is the units digit of (-470)/v - 2/13? 6 Let y = -24 - -647. What is the units digit of y? 3 Let y(d) = -3*d + 5. Let l be y(4). Let q = 4 + l. What is the units digit of -1 + 0 + 14 + q? 0 Let b(z) = 685*z - 3. What is the units digit of b(2)? 7 Let n be 10/35 - 2/7. Suppose 3*o + 0*o + 288 = 5*m, n = 3*m + o - 170. Suppose 3*y = 117 + m. What is the units digit of y? 8 Suppose 0 = -2*s - 4*k - k + 2333, 5*k + 4741 = 4*s. What is the tens digit of s? 7 Suppose -111260 = -70*t + 50*t. What is the thousands digit of t? 5 Let d(j) = -j**2 + 5*j + 6. Let t be -2*(-4 - 4*-2). Let m = t - -13. What is the units digit of d(m)? 6 Suppose -2294 = -3*k - 5*x + 342, -5*k - 3*x + 4372 = 0. What is the hundreds digit of k? 8 Suppose -16 = -3*j - 1. Suppose 0 = -j*k - 6 + 31. What is the units digit of k? 5 Let n(q) = -5*q + 1496. What is the hundreds digit of n(0)? 4 Let p(q) = -2*q - 2. Let o be p(-2). Let m be -16*((-12)/(-8) - o). Let l = 15 - m. What is the units digit of l? 7 Suppose -4*s + 328 = -0*s. Suppose x - 1160 = -28*x. Let f = s - x. What is the units digit of f? 2 Let h = -44 + 258. What is the units digit of h? 4 Suppose -5*f + 1613 = -527. What is the hundreds digit of f? 4 Suppose 1 = -j + 4*n - 6, 49 = 3*j + 2*n. Let c = j + 38. What is the units digit of c? 1 Let g(v) = -2 - 6 + 14 + 0 - 3*v. Let t be g(2). Suppose -2*n - 2 = 0, t*q - 5*n - 19 = -q. What is the tens digit of q? 1 What is the units digit of 3099*((-133)/(-21) - 6)? 3 Let a(z) = -1481*z**3 - 2*z**2 - 5*z - 2. What is the units digit of a(-1)? 2 Let f = 43 - 52. Let o = 23 + f. What is the tens digit of o? 1 Let y be -1 + (1510 - (8 - 3)). What is the units digit of (-5*2/4)/((-16)/y)? 5 Let j(t) = t**3 - 5*t**2 - 5*t - 4. Let d be j(6). Let u(c) = 6*c**3 - 2*c**2 - 3*c + 6. What is the units digit of u(d)? 0 Let d(w) = 1. Let l(a) = 4*a**2 - 4*a - 2. Let s(z) = 6*d(z) + l(z). Let o be s(5). Suppose -2*m = -6*m + o. What is the units digit of m? 1 Let j(w) = -3*w**2 + 44*w - 32. What is the tens digit of j(12)? 6 Let n(r) = -r**2 + 7*r - 6. Let i be n(4). Let s be 0/(-2) - (4 - i). Suppose d - 5*t + 12 - 66 = 0, 3*t - 82 = -s*d. What is the tens digit of d? 4 Let y(c) = -c**3 + 4*c**2 + 6*c - 1. Let n be y(5). Suppose 3*u + 4*d = 30, -n*u + 5*d + 0*d = -9. Suppose 5*f = u*f - 42. What is the tens digit of f? 4 What is the tens digit of (-3 - -9)/((-2)/(-156))? 6 Let i = 660 - 410. What is the units digit of i? 0 Suppose -q - 706 = -s, -q = 4*s - 6*s + 1417. Suppose s = 63*c - 60*c. What is the hundreds digit of c? 2 Let c(m) = m**3 + 24*m**2 - 32*m + 31. Let j(q) = -q**3 - 25*q**2 + 33*q - 31. Let r(f) = 4*c(f) + 3*j(f). What is the hundreds digit of r(-22)? 1 Let r(j) = -9*j**2 - j**3 + 6*j + 4*j + 3*j - 14 - 9*j. What is the tens digit of r(-10)? 4 Suppose -j + o = 4*j, 5*j + 5*o + 30 = 0. Let c = j - -5. What is the tens digit of 48 + 0*1/c? 4 Let h(b) = -3*b**3. Let g be h(-1). Let t(l) = 1 - 7*l - 9*l + 6*l - g*l. What is the units digit of t(-2)? 7 Suppose -7*i + 3*i = 5*g - 87, -4*i + 91 = g. Let j = i + -20. Suppose -j*q + 6 = -5*t, q - t = -4*t + 2. What is the units digit of q? 2 Let c(s) = -3*s - 3. Let g be c(-5). Suppose -23*w + 6*w = -221. Suppose w*u = g*u + 3. What is the units digit of u? 3 Let j(z) = -9*z**2 + 141*z + 10. What is the hundreds digit of j(11)? 4 Suppose 0 = 4*u - 0 - 8. Suppose 2*y + 2*j - 138 = 0, -153 + 6 = -u*y + j. What is the units digit of y? 2 Suppose -53790 = 232*c - 243*c. What is the hundreds digit of c? 8 Suppose 5*h = 2*u - 864, -u - h + 2*h + 435 = 0. Suppose 4*y + 362 = -3*o, -5*y - 3*o = -7*o + u. Let z = y + 157. What is the tens digit of z? 6 Suppose 3*g + 2*y = -3*y + 809, 3*g = 5*y + 799. What is the units digit of g? 8 Suppose -3*s = -3*y - 9 + 96, y = -4*s + 34. Let d(w) = 5*w - 91. Let p be d(16). Let n = p + y. What is the units digit of n? 9 Suppose -a = 5*f + 2*a - 22, -3*f = 5*a - 26. Suppose 0 = -b + f*v + 159, 4*b - 608 = v - 0*v. What is the units digit of b? 1 Let d(g) be the first derivative of 75*g**2/2 - 3*g + 5. Let o be d(-6). What is the units digit of o/(-18) - (-1)/(-6)? 5 Let c be 2 - 1 - -1 - -10. Let m(g) = 14*g + 6. What is the units digit of m(c)? 4 Let j = 2 - 0. Suppose -w = 2*o + 1, -5 = -5*o + 3*w + j*w. Suppose o = -4*m + 39 + 65. What is the tens digit of m? 2 Suppose 91*y = 46*y + 33930. What is the units digit of y? 4 Let k(x) = 5*x**2 - 10*x. Let z be k(-8). Suppose -8*w = -12*w + z. What is the hundreds digit of w? 1 Suppose 8*n + 24 = 16*n. Let g(x) = 9*x**3 + 2*x**2 - 5*x - 5. What is the hundreds digit of g(n)? 2 Let d(w) = 3*w**3 - 3*w**2 + 3*w. Suppose 3*j + 11 = 3*g - 10, 3*j - 19 = -5*g. Suppose -g*f + 10 = -0. What is the units digit of d(f)? 8 Let m(k) = -k**3 + 1 - 10*k**2 - 7*k - 2 - 2*k + 5. Let c be m(-9). Suppose -c*y = -2*y - 36. What is the tens digit of y? 1 Suppose -2252 = -y + 1967. What is the hundreds digit of y? 2 Let f = -2726 - -4273. What is the thousands digit of f? 1 Let j be (-1)/(3 + 76/(-24)). Suppose 0 = y - 0*y. Suppose y = -d + j + 5. What is the tens digit of d? 1 Let p be (-30)/4*80/(-24). Let u = p - 17. What is the units digit of u? 8 Suppose 12423 = 3*o + 2*c, -4*c = -4*o - 5*c + 16564. What is the hundreds digit of o? 1 Let d = 109 - 106. What is the tens digit of 143 + 1/d*3? 4 Let u(x) = -x**3 + 53*x**2 - 15*x - 46. What is the thousands digit of u(52)? 1 Suppose -4*q - 946 = -3*g, -g + 3*q + 632 = g. What is the hundreds digit of g? 3 Let u be (2 + -1)*(8 - 1). Suppose -u*y + 1745 - 576 = 0. What is the units digit of y? 7 Let f(b) be the second derivative of -b**4/12 + 44*b**2 + 5*b. Let l be f(0). Suppose -174 = -4*g - 5*p, 2*g + p - l = -p. What is the tens digit of g? 4 Let x(d) = 8*d**2 - 17*d - 16. Let l be x(-6). Let n = -221 + l. What is the units digit of n? 3 Suppose -7620 = -16*m + 6*m. What i
{ "pile_set_name": "DM Mathematics" }
0. What is the units digit of w? 2 Let c(q) = -q**3 - 3*q**2 + 3*q - 3. Let n be c(-4). Suppose 37 = k - n. What is the tens digit of k? 3 Suppose -x - 10 = -2*x. Suppose 4*v = -u + 4 + 2, -v = -4*u - x. Suppose -b - v*c - 6 = 0, 3*c + 26 = 3*b - 2*c. What is the units digit of b? 2 Suppose -4*h + 116 = 4*u, -2*u + 7*u - 121 = 3*h. What is the tens digit of u? 2 Suppose -89 = -5*j - 9. What is the tens digit of j? 1 Suppose m + 128 = 5*m. Let x be (24/m)/((-2)/(-16)). Suppose 0 = -2*o + x + 4. What is the units digit of o? 5 What is the units digit of (-4)/(-14) + 159/7? 3 Let d(u) be the third derivative of -u**6/120 - 7*u**5/60 - u**4/12 - u**3/3 + u**2. Let z(t) = -t - 12. Let n be z(-5). What is the tens digit of d(n)? 1 Suppose -4*a - 34 = -y, a + 172 = 4*y + 3*a. What is the units digit of y? 2 Suppose 0 = 9*f - 233 - 478. What is the units digit of f? 9 What is the units digit of (-134)/(-10) + 6/(-15)? 3 Let y(h) = h**3 - 6*h**2 + h + 3. Let r be y(6). Suppose -5*f - r = -4*p - 2*f, 7 = -3*p + 5*f. What is the units digit of p? 6 Suppose z + 2*z - 24 = 0. Let s(b) = b**3 - 9*b**2 + 10*b - 7. What is the units digit of s(z)? 9 Let s(u) = u**3 + 4*u**2 - u + 2. What is the units digit of s(-4)? 6 Let x be -10 - (-5)/(10/4). Let s = x + 7. Let a(g) = -9*g**3 + g + 1. What is the units digit of a(s)? 9 Suppose 0 = -0*s - s. Suppose -2*k + 7*k = s. Suppose -r - 4*r + 55 = k. What is the tens digit of r? 1 Let l(h) = 2*h**2 - 3*h**2 + 0 + 4. Let y be l(0). Suppose y*k + 8*i - 3*i = 44, -2*i + 8 = 0. What is the units digit of k? 6 Suppose 3*y = -f + 4 + 16, 13 = 2*f - 3*y. Suppose 3*p + 3*m - 39 = -6, -p = 3*m - f. What is the units digit of p? 1 Let j be 1 + 4 + 1 + -1. Suppose -j*z = -z + a - 112, 5*a = -3*z + 84. Let v = z - 14. What is the units digit of v? 4 Let b = 8 + 66. What is the tens digit of b? 7 Let v(t) = -2*t**2 + 4*t - 3. Let f be v(3). What is the units digit of f/(-6) - 3/6? 1 Let o(v) = -v - 3. Let b be o(-4). Suppose 2*d - b = 9. What is the units digit of d? 5 Let i = 8 - 6. What is the tens digit of (1/i)/(4/120)? 1 Let o = -1 + 11. Let l = 9 + o. What is the units digit of l? 9 Let v(c) = c**2 - 10*c - 7. Let o be v(9). What is the units digit of (1 - -2)/((-3)/o)? 6 Let k(a) = -3*a**2. Suppose -2*o + 11 = -o - 4*n, 2*n + 1 = 5*o. Let x be k(o). Let m = -2 - x. What is the units digit of m? 1 Suppose -3*v - 2*k - 2*k + 59 = 0, 4*k = 8. What is the tens digit of v? 1 Suppose 676 = 3*a + 109. What is the tens digit of a? 8 Let g be -2 - -3 - (1 - -30). Let b = -17 - g. What is the tens digit of b? 1 Let z be (12 - -2)/((-3)/(-3)). Suppose 0 = 2*h - 4*h - 8, 3*p - 5*h - 8 = 0. Let f = p + z. What is the tens digit of f? 1 Suppose s = 4*s + i - 170, 5*i = 25. What is the tens digit of s? 5 Let f(b) = 24*b**3 - b**2 + 1. What is the units digit of f(1)? 4 Suppose 2*v - 79 = -2*d + 61, -320 = -5*d + v. What is the tens digit of d? 6 Let m(a) = a**2 - a + 5. What is the units digit of m(-6)? 7 Suppose -s + 46 = 13. Let x = -18 + s. What is the units digit of x? 5 Suppose -4*v - y = 4*y - 395, -2*y + 196 = 2*v. Suppose v = -j + 6*j. What is the tens digit of j? 1 Suppose -f + c = -4 - 4, 5*c + 5 = -2*f. Let i(k) = -k**2 - 9*k - 4. Let t be i(-8). Suppose -f*r = -r - t. What is the units digit of r? 1 Let o(f) = -1. Let h(j) = -j**2 + 4*j - 2. Let t(g) = h(g) - 2*o(g). Let q = 4 - 2. What is the units digit of t(q)? 4 Let v be (-5 + -1 + 2)*-1. Suppose -v = d - 10. What is the units digit of d? 6 Let a be -2 - -19 - (1 + 1). What is the tens digit of ((-16)/(-12))/(2/a)? 1 Let l(m) = -m**2 + 10*m. Let f be l(6). Suppose -4*r - f = -2*t, -r + 135 = 5*t + 4*r. Suppose -2*a - 4 + t = 0. What is the units digit of a? 9 Let x(u) = -u**2 + 10*u - 12. Let o be x(8). Let z = 9 - o. Suppose z*q = 3*q + 28. What is the units digit of q? 4 Suppose -5*v = 2*n + 2*n - 3, -5*v = 5*n. Let t be (-10)/n*(-6)/(-5). Suppose t*a - 2*d - 13 - 9 = 0, -2*d = -a - 2. What is the units digit of a? 8 Let o = -2 + 5. Suppose -3 = -2*u + o*z + 21, 3*u = -2*z + 36. What is the units digit of u? 2 What is the units digit of (-444)/(-10) + 2/(-5)? 4 Let m(k) = -3*k**2 + 6*k - 11. Let t(s) = -3*s**2 + 6*s - 12. Let n(f) = -7*m(f) + 6*t(f). Let r be n(4). Let h = r + -11. What is the tens digit of h? 1 Suppose -z = 5*z - 252. What is the units digit of z? 2 Suppose 2*b - 15 = -w, 5*b + w - 33 = 9. Let u = -4 + b. Suppose 4 = -y + u*y. What is the units digit of y? 1 Suppose -5 = -5*w - 2*z, -3*w + 0*z + 4 = z. Let c(h) = -h**3 + 4*h**2 - 1. What is the units digit of c(w)? 8 Let f(u) = u - 1. Let y be f(0). What is the units digit of (3 - 0) + y + 3? 5 Let v(i) = i**2 - 2*i + 3. Let a be v(3). Suppose 2*q - a*q = -160. Suppose q = -2*h + 7*h. What is the units digit of h? 8 Let d be (8/(-6))/((-1)/6). Let o = d - 5. Suppose 0 = o*j + j - 28. What is the units digit of j? 7 Let u(z) = -z**3 + 12*z**2 - 10*z + 13. What is the tens digit of u(11)? 2 Let h be (-20)/6*(-171)/6. Suppose 5*v + 2*l + 3*l + h = 0, 5*v + 83 = -2*l. What is the tens digit of (-3)/v - 138/(-10)? 1 Suppose 0 = -3*w - 7 + 19, 0 = -2*d + w - 8. Let l be d + 0 + -2 + -1. Let y(x) = -x**3 - 4*x**2 + 5*x + 4. What is the units digit of y(l)? 4 Let i = 51 + -5. What is the tens digit of i? 4 Let g = 495 + -314. What is the units digit of g? 1 Suppose 0 = 3*c - 12, 2*d + 3*c = c + 54. What is the units digit of d? 3 Let g be 209/6 + (-6)/(-36). Suppose -3*l + g = 2*l. What is the units digit of l? 7 Let c(u) = u**3 + 3*u**2 - 2*u - 1. What is the units digit of c(-3)? 5 Suppose 123 = 12*w - 11*w. What is the units digit of w? 3 Let f = 3 - 6. What is the units digit of (-2)/3 + (-74)/f? 4 Suppose 3*z + a = 7, -4*z + 3*a = 2*a - 14. Suppose 0 = -2*g - z - 3. What is the units digit of (10/g)/(4/(-18))? 5 Let r be -4 + 54 - -1 - 1. Let s = -21 + r. What is the tens digit of s? 2 Let u(w) = 2*w**2 + 5*w + 3. What is the tens digit of u(4)? 5 What is the units digit of (-3)/1 + -1 - -19? 5 Let g = 12 - -9. What is the units digit of g? 1 Let i(h) = -14*h + 5. Let w(b) = -42*b + 16. Let j(t) = -7*i(t) + 2*w(t). What is the tens digit of j(3)? 3 Let a = -6 + 2. Let u be (2/a)/((-1)/10). Suppose -20 = -4*f + d, -6*d = u*f - d. What is the units digit of f? 4 Suppose 15 = 2*p - 67. What is the tens digit of p? 4 Let f(u) = u**2 + 10*u + 3. What is the units digit of f(-12)? 7 Let v = 2 + 2. Suppose -v*b + 57 = -11. What is the tens digit of b? 1 Let j(n) = 3*n + 0*n + 0*n + 9. What is the units digit of j(16)? 7 Let d = 4 - 6. Let o be -2 + (-6)/d - -2. Suppose o*t - 9 = 0, 5*t + 4 = 4*m - 9. What is the units digit of m? 7 Let d(x) = 0*x - 3*x**3 - 1 + x**2 + 4*x**3 - 3*x. Suppose 0 = 4*i + 11 - 3. What is the units digit of d(i)? 1 Suppose -n = 2*y - 201, -4*n + 0*n = -y + 123. Suppose h + 137 = 5*v - 30, 3*v - 2*h - y = 0. What is the tens digit of v? 3 Let d(s) = s + 4. Suppose 0 = -4*t + 15 + 1. Suppose 8 = 4*k + 2*h, 18 = 4*k - 7*h + t*h. What is the units digit of d(k)? 7 Let d(y) = -y**2 + 5*y + 3. Let l be 1*2 + (-7 - -9). What is the units digit of d(l)? 7 Let z(i) = 2*i**3 - 3*i**2 + 6*i - 7. What is the units digit of z(3)? 8 Let l be 3 + (-1)/1*8. Let i(n) = 2*n**2 + 6*n - 3. What is the tens digit of i(l)? 1 Let k be (-4)/(-18) - (-176)/18. Let o be (148/k)/((-2)/(-10)). What is the units digit of o/10 + (-2)/5? 7 Suppose i = -3*u - 2*i + 48, -2*i - 23 = -3*u. What is the units digit of u? 1 What is the units digit of 4/6*(-11 - -14)? 2 Let i = 1 + 1. Suppose d = 3*u - d - 32, 0 = 4*u + i*d - 52. What is the units digit of u? 2 Suppose 2*v - 1050 = -5*l, 2*l + 28 - 448 = 5*v. Suppose 3*p - 59 = -5*n + 75, -5*p = 5*n - l. What is the units digit of p? 8 Let l be 2/(16/(-28))*-14. Let v = 102 - l. What is the tens digit of v? 5 Let l(f) = -f**3 + 4*f**2 - f - 2. Suppose -2*i = -6*i + 48. Suppose -11 = -2*b + 5*j, 5 = -b + 4*j + i. What is the units digit of l(b)? 4 Let q(h) = h**2 + h - 8. Let g be q(0). Let a be 17/((1 - 1) + 1). Let o = a + g. What is the units digit of o? 9 Let p = 18 - 21. What is the units digit of 1 + 0 + 10 + p? 8 Suppose 5*w - 461 = 3*y, -2*w + 3*y - 111 + 290 = 0. What is the tens digit of w? 9 Suppose -7*r = 3 - 52. Suppose -c - 5*l = -22, c = 5*l - r - 1. Wh
{ "pile_set_name": "DM Mathematics" }
- 170 + 84. Is o(3) composite? False Let w(q) = 587*q - 14. Let u be w(2). Suppose -2*r + 2308 = -2*s, r - s - u = 2*s. Is r composite? False Let y = -13 - -19. Let m(p) = 10 + p**3 - 6*p**2 + p + p**3 - 3 - p**3. Is m(y) prime? True Is (4/2)/(-2)*((2 - -9) + -7510) a prime number? True Let p = -300 - 296. Let l = 971 - p. Is l composite? False Suppose -159 + 39 = -6*t. Let a(x) = -20*x - 89. Let k be a(-6). Suppose -11539 = t*q - k*q. Is q a prime number? True Let m(l) = -966*l - 23 - 4 - 337*l. Is m(-2) a composite number? False Let j(x) = 1831*x + 12. Let q be j(3). Let h = 8776 - q. Is h composite? False Let b be (-138)/(-10) + 1/5. Suppose -112*f + 113*f - b = 0. Is 15634/f + 16/56 a composite number? False Suppose -22*f = 4*f + 11*f + 396677. Let n be (-2)/8 - (-69165)/(-12). Let g = n - f. Is g a composite number? False Let x = 157859 - 58686. Is x a composite number? False Let d(r) = 1289*r**2 + 91*r + 230. Is d(-3) a composite number? True Suppose 10*f - 4*o = 12*f - 170454, 0 = 5*f - 5*o - 426165. Is f a composite number? True Suppose 1945659 = 5*z + 79*r - 83*r, 3*r + 389134 = z. Is z prime? False Let j(z) = -9*z + 79. Let r be j(-14). Let u = 1386 - r. Is u composite? False Suppose -24*a + 11599 = -23*a. Let v = 17279 - a. Suppose 16*r - v = 10464. Is r prime? True Let y be 1/(4/12) + 4380. Let c = y + -8254. Let j = c + 5912. Is j prime? False Let s be 7/(-21) + 4/(-24)*-25334. Suppose -2792 - s = -6*v. Is v composite? True Let s(z) = -z**2 - z - 1. Let w(y) = 488*y**2 - 13*y + 5. Let u(t) = -6*s(t) + w(t). Is u(2) composite? False Suppose 0 = -10*q - 3431 - 4209. Let j = q + 8175. Is j a prime number? True Let z = -1555 - -2256. Is z a composite number? False Suppose -1 = -3*o - 43. Let z be 12 + o + (0 - -3). Is (z/1)/(-3 - (-21590)/7195) a prime number? True Suppose -2*b - 3*b + 0*b = 0. Suppose -8*i + b = -16. Suppose 2*n = -i*g - 0*n + 166, 0 = 5*g + n - 423. Is g composite? True Suppose -10*b - 10 = -12*b. Suppose -j - 1240 = -z, -5*j = b*z - z - 4933. Is z a composite number? False Suppose 13*a - 14*a + 18947 = -16884. Is a prime? True Let i(u) = -u**3 - 44*u - 74. Is i(-19) composite? False Suppose 0*j - 5*j + 5*v - 10 = 0, v + 4 = 4*j. Let o(l) = 314*l**2 - 37*l**2 + 320*l**j + 278*l - 277*l. Is o(-2) prime? False Suppose 4*o - 2*o = -6. Let k be (-6)/(o*2/10). Suppose 15426 = k*v - v. Is v a prime number? False Suppose -h = 5*m - 731, -h + m + 865 = 158. Is (h/9)/(2/46) composite? True Let h(a) be the third derivative of -a**6/120 + a**5/5 - 5*a**4/8 + 5*a**3/2 + 2*a**2. Suppose -116 + 276 = 16*f. Is h(f) a composite number? True Let h = -436 - -436. Suppose 3*i = -g + 2003, h*g + 1328 = 2*i - 3*g. Is i composite? True Suppose 2*z = 3*j + 8 - 30, -3*z = 4*j - 18. Suppose -j*a = -2*a - 2536. Suppose -s + 2*y = -0*y - 308, 2*s = -2*y + a. Is s prime? False Let q = -6783 - -19204. Is q prime? True Let y(r) = -7*r + 44. Let h(v) = 6*v - 44. Let f(t) = -5*h(t) - 4*y(t). Let m be f(15). Suppose -1056 = -m*i + 38522. Is i a prime number? False Let l(z) = -3*z**3 - z**2 - 2*z + 7. Let a be l(0). Suppose -10*k + 106097 = a*k. Is k a composite number? True Let y(c) = c**3 + c**2 - c + 21. Let b be y(5). Suppose 6*n - 3*n - 6 = 0. Suppose 2 = j - n, l - b = -2*j. Is l prime? False Suppose 13012 = -184*l + 180*l. Is 2 - l - 8/(-12)*6 composite? False Let i be (3 - 14/10)/(2/(-75)). Let j = i - -65. Suppose 2346 = j*o + o. Is o prime? False Let q(t) be the third derivative of 23*t**4/24 + 4*t**3/3 - 25*t**2. Is q(3) composite? True Suppose -5*j + 696457 = -o, 4*o + 498397 = 4*j - 58775. Is j a composite number? False Let o(f) = -f**2 + 11*f - 9. Let r be o(9). Let w = 416 - -2168. Suppose r*n = 7667 + w. Is n prime? False Let l be (-42952)/(-4) - 0/((-6)/2). Let u = -6047 + l. Is u composite? False Suppose 7*k + 83932 = 31082. Let y = 12213 + k. Is y a prime number? True Let x = -16 - -26. Let s be 2 - (-44)/23 - (14 - (-7776)/(-552)). Suppose x*g = -s*g + 35826. Is g prime? False Is 6/((-72)/(-3))*(-13164084)/(13 - 22) prime? True Is (2323656288/(-1440))/((-8)/5 - -1) a composite number? True Suppose 0 = -33*m - 16*m + 5956979. Is m a prime number? True Let q(r) = -r - 1. Let m be q(-1). Suppose -5*h - 5*l = -3*h + 39, m = h - 2*l + 15. Is 281790/306 - (-1 - 15/h) a composite number? True Suppose 15*q = 3*q + 12. Is (-56 - -57) + q + 989 a composite number? False Let d(i) = 21*i - 26. Let s be d(-15). Let w = s - -1014. Is w prime? True Suppose 22*z - 25*z + 170915 = -5*y, -3*z - 5*y = -170935. Suppose z = 15*a + 10*a. Is a a composite number? True Let m be (96/(-54))/(-4)*-140538*-3. Suppose -43216 + m = 24*n. Is n prime? True Let b be 1*(-1)/3 - (-16)/3. Suppose -4*u - 26921 = -b*o, -o + 904 = 4*u - 4461. Is o composite? False Let z(p) = 7944*p - 5447. Is z(5) a prime number? True Suppose -3*w - 69 = -81. Suppose -i = 3*c - 6378, w*c - 468 = 5*i + 8036. Suppose -7*r = -5679 - c. Is r composite? True Let j(x) = -28*x + 15*x + 5452*x**2 - 5417*x**2 - 34*x - 25. Is j(-27) prime? True Suppose -6*u = -3*s + 13 + 8, 3 = 2*u - 3*s. Let t(h) be the third derivative of -133*h**4/24 - 11*h**3/6 - h**2. Is t(u) a composite number? False Let v = -44 + 60. Suppose -5*y = 3*u - v, u = -u - y + 6. Let d(s) = 197*s - 5. Is d(u) prime? True Suppose -4*s = -4, -2*s + 1595 = 4*l - 5*l. Let k = 2832 + l. Suppose 3*h + 0*h - k = 0. Is h a composite number? True Suppose 2*w - 6 = 0, -5*g - 2*w + 10 = -3*g. Suppose 0 = -g*c + 296 + 2592. Suppose 3*f - c = 449. Is f a composite number? False Let q be (-3107)/39*(55 + -1). Let y = -2939 - q. Is y a prime number? False Suppose 0 = -y + 2*f + 818, 3*f + 6083 = 5*y + 2028. Suppose b = -0*b - y. Let v = 1251 + b. Is v a composite number? False Let z = -167387 + 297208. Is z prime? False Let c(m) = -5*m**3 + 3*m**2 - 3. Let a be c(-4). Suppose -12*o = 3*o - 16*o + 521. Suppose -a - o = -2*b. Is b a prime number? True Is (4/(16/(-14)) + 3)*(10 - 170672) prime? True Suppose -4*z + 3*l = -75577, -4*z + 5*l = -z - 56691. Suppose -2*x + z = 2*x. Let f = 8418 - x. Is f composite? True Let l(t) = 1364*t**2 + 41*t - 274. Is l(17) a composite number? False Let n = 52 + -55. Let v be 2/(-9)*n - 418/(-66). Suppose 4*r - 229 = v. Is r prime? True Suppose 33 + 3 = 4*z - 4*l, 0 = -z + 3*l + 17. Suppose z*r + g - 13167 = 0, -5*g + 6139 + 1770 = 3*r. Is r a prime number? True Let j(q) = q**3 + 8*q**2 - 10*q - 8. Let m be j(-9). Let a be (-1)/(m*(-1 - 0)). Is ((-6)/2 + a)/(4/(-3086)) a prime number? True Suppose 0 = 4*t - 3*g - 60 + 15, -28 = -2*t - 4*g. Let k(o) = 897*o + 253. Is k(t) a prime number? False Let o = 34958 - -56143. Is o composite? True Suppose -9602*x + 9623*x - 1347339 = 0. Is x a prime number? False Let h(a) = a**2 - 10*a - 9. Let o be h(11). Suppose -1 = o*t + 5*q - 19, -2*q = -t. Suppose 8*c - t*c = -r + 523, -2*c - 1541 = -3*r. Is r composite? True Is (-3)/(23/(23850862/(-42))) a prime number? True Let a(r) = -17*r - 10. Let b be a(1). Is 100374/18*(b/(-3))/3 a prime number? True Suppose -993 - 417 = 5*g. Let o = g - -442. Suppose -4*a = -a + 2*k - 161, -o = -3*a - k. Is a prime? True Let w(k) = -46*k**3 - 18*k**2 + 31*k + 154. Is w(-13) a prime number? True Let v = 53343 + -37832. Is v composite? False Let r(p) = -99*p**2 - 3*p + 7. Let v be r(-11). Let b = v + 17184. Is b a composite number? True Suppose -2720869 - 7936483 = -16*c + 5327720. Is c a prime number? True Is (-29)/((-87)/40725) - 1/(1/(-4)) composite? True Suppose -2*i + 13 = -3*v - 67, 3*i - 134 = v. Let a(l) = i*l - 1 + 79*l + 15*l + 168*l. Is a(1) composite? False Suppose 576*d - 14610355 = 309803789. Is d a composite number? False Let a = 286 + -282. Suppose 3*o + a*g = 6*o - 18571, -o + 3*g = -6182. Is o a composite number? False Suppose 2*n + 3*v - 1158295 = 0, 0*v - 2895800 = -5*n + 5*v. Is n prime? False Let l(k) = k**3 - 2*k**2 - k + 1. Let s be (1 - -2) + -1*(-3)/(-3). Let i be l(s). Is i + (-7)/((-7)/1152) a composite number? False Let t be 1*-1*(-4 - -3). Let i(b) = 166*b**3 - b**2 + 3*b - 2. Let p be i(t). Suppose k - p = -47. Is k composite? True Let j = -694501 + 1035210. Is j a prime number? True Let p(n) = -18*n + 14. Let f be p(3). Let b = f - -44. Suppose a - 555 = -2*j, -4*a + 2051 = b*j - 153. Is a a prime number? Tr
{ "pile_set_name": "DM Mathematics" }
er: -1/6 or -152? -152 Does 463 = 464? False Is 526 < 527? True Which is greater: 122/7 or -2? 122/7 Is 0 equal to 59/166? False Is 15 >= -2/11? True Is 1 greater than or equal to -9/53? True Which is smaller: 2 or 18391? 2 Is -1/401 smaller than 1? True Which is greater: 1003/3 or 335? 335 Is -2/33 bigger than -70/13? True Which is smaller: -1/4 or 10.913? -1/4 Which is greater: 639 or 0.1? 639 Is -0.54 less than 1? True Is 1 at least -0.04127? True Which is smaller: -1874 or -1878? -1878 Which is smaller: -11/111 or 0? -11/111 Which is smaller: -11 or -153? -153 Are -0.1 and 307 unequal? True Do -167 and -166 have different values? True Which is greater: -2651 or -0.1? -0.1 Is 30 at least -25? True Are 7773 and 7773 equal? True Which is bigger: 0 or 3/403? 3/403 Are -1 and -1/4032 equal? False Is 1/88 greater than or equal to 1? False Is -740 >= -739? False Is -5/427 bigger than -1? True Is -2/17 smaller than 637? True Which is smaller: 3549 or 3550? 3549 Which is bigger: 0 or -70884? 0 Is 1/143 <= -1? False Which is bigger: 6/149 or 1? 1 Is -1 less than -2/1251? True Which is smaller: 3965 or 3967? 3965 Is 1/839 greater than or equal to -1? True Which is bigger: 36 or 177/5? 36 Which is greater: 3 or 681? 681 Is 0.1 at most as big as -7/13? False Is -0.29 smaller than -49? False Is 0.06 less than or equal to 517? True Which is bigger: 1 or 12/2239? 1 Which is bigger: -3 or -557? -3 Is -56/523 bigger than 1? False Is -2/7 bigger than 94/15? False Is 2 at most as big as 51/19? True Is 1030 at least as big as 1032? False Is -3/4895 at least 0? False Is -100 less than or equal to -33? True Is -3/23 at least as big as -1/3? True Is -6/5 bigger than -2? True Which is smaller: -56 or -47? -56 Is -3/1889 smaller than -1/4? False Is 1 at most as big as 6/215? False Which is greater: -93 or -462/5? -462/5 Is 28 >= 14? True Is -569 at least as big as -531? False Which is smaller: 104 or 43? 43 Which is smaller: -118/3 or -38? -118/3 Is 60 smaller than -140? False Is 2583 smaller than 0.05? False Is -28 smaller than -26? True Which is bigger: -1 or -6/1187? -6/1187 Which is smaller: -131 or -392/3? -131 Is 11560 greater than or equal to 11559? True Which is greater: 368/9 or 40? 368/9 Which is smaller: -182/9 or 0.2? -182/9 Which is smaller: -219/5 or -2? -219/5 Which is greater: 0 or 1/3929? 1/3929 Are -291 and -290 nonequal? True Which is smaller: 1.1 or 21? 1.1 Is -92 smaller than -108? False Which is greater: -113 or -0.4? -0.4 Is -5/34 bigger than 1? False Is 0.1 at most as big as 0.1173? True Which is smaller: -347 or -81? -347 Are 37 and 43 unequal? True Which is smaller: -23.9 or -36? -36 Which is bigger: -1 or 7/592? 7/592 Which is bigger: -5 or -9? -5 Is -4 != -4? False Which is greater: 33 or 348/11? 33 Is 68/3 <= 22? False Which is smaller: 99 or 491/5? 491/5 Is -76 greater than or equal to -73? False Which is greater: 113 or 118? 118 Which is bigger: -3/1751 or -1? -3/1751 Is -34 less than or equal to -20? True Which is smaller: 2 or 2213? 2 Is -27/37 < -1? False Which is bigger: -1664 or -1674? -1664 Which is smaller: -776 or -775? -776 Which is smaller: -5 or 3/4? -5 Is 166 smaller than 175? True Which is smaller: 4171/4 or 1042? 1042 Which is smaller: -277 or -37? -277 Which is smaller: -1571 or -1572? -1572 Which is greater: -4126 or -4124? -4124 Which is greater: 24 or 13? 24 Is 831/7 greater than 119? False Is 2461/2 equal to 1231? False Which is smaller: -7 or -93? -93 Which is bigger: 0.1 or 76? 76 Which is greater: -278 or -12? -12 Which is smaller: 11 or -29? -29 Is 1 less than or equal to 26/379? False Which is smaller: 0 or 8/479? 0 Which is smaller: 854 or 853? 853 Which is bigger: 83 or -2/7? 83 Is 0.231 > 0? True Is 276 not equal to 277? True Is -2/9 equal to 2075? False Which is smaller: -52 or -58? -58 Which is smaller: 30 or 26? 26 Which is greater: 2 or -1747? 2 Which is smaller: -14 or 117? -14 Is 16207 < 16206? False Is 9/1075 smaller than 1? True Do 9276 and 4 have different values? True Is 22 equal to 188/9? False Is 110/21 equal to 5? False Which is smaller: -129 or -12? -129 Which is bigger: -67 or -66? -66 Is 9/4 less than or equal to 2? False Are -40 and -39 equal? False Are 1847 and 1843 unequal? True Is 822 greater than 825? False Which is greater: -219 or -3? -3 Is 6 greater than 1? True Which is greater: 1418 or 0.1? 1418 Which is smaller: -82/45 or -2? -2 Which is smaller: 37 or 65? 37 Is 28 smaller than 23? False Are -283 and -281 non-equal? True Which is smaller: 20278 or 20277? 20277 Are 2/3 and -820 nonequal? True Which is smaller: 2/51 or 1? 2/51 Is -88 at most as big as 8.5? True Which is smaller: -1 or 234/7? -1 Is 1 smaller than -60/839? False Is -100 equal to -96? False Is -47/5 less than or equal to -8? True Is 1 <= 1/42? False Is -5490 <= -5494? False Which is bigger: -4/9 or 65? 65 Which is greater: -180 or -181? -180 Which is bigger: -26/5 or -6? -26/5 Which is smaller: -2/1857 or 0? -2/1857 Which is smaller: 0 or 1/12323? 0 Is -701 < -698? True Is -29/21 >= 0? False Which is smaller: 2 or 4188? 2 Which is bigger: -12/7 or -3? -12/7 Are 5 and 70 nonequal? True Is 838 not equal to 838? False Is -2730 less than or equal to -2733? False Is -36 >= -77? True Which is bigger: -1/4 or -111? -1/4 Which is bigger: -1 or -12/949? -12/949 Which is bigger: 3/5762 or 0? 3/5762 Are 1/2216 and 0 equal? False Is -2/7 bigger than 28817? False Which is bigger: 0.039 or -6/11? 0.039 Is -2/5 at least as big as -12/31? False Is -16/1117 at most as big as 0? True Which is smaller: -0.03 or -174? -174 Is -13391 smaller than -13388? True Which is bigger: 1/18 or 1? 1 Is 0 greater than 112? False Is 116 smaller than 118? True Which is greater: -1/2968 or 0? 0 Which is bigger: 1/24 or 0.086? 0.086 Do -128 and -129 have the same value? False Which is greater: -1/2 or 0.0296? 0.0296 Which is smaller: -135 or -1744/13? -135 Do -663 and -663 have the same value? True Is 69 smaller than 679/10? False Which is smaller: 6/7 or -1? -1 Which is smaller: -15/4519 or 1? -15/4519 Do 4714 and 4715 have the same value? False Is -7 at most as big as 3? True Which is smaller: -0.08 or -454? -454 Do -1 and -1/2073 have the same value? False Which is smaller: -572 or -571? -572 Which is greater: -1/25699 or -1? -1/25699 Which is smaller: 19 or -2? -2 Which is bigger: -3/47 or 1? 1 Which is smaller: -0.05 or 528? -0.05 Are 223 and 222 equal? False Which is bigger: 339 or 337? 339 Is -210 > 3/7? False Which is greater: 11 or 0? 11 Which is smaller: 1268 or 1275? 1268 Is 2/351 greater than -1? True Is -58/7 >= -0.1? False Is -124 > 2? False Is 1/5 less than or equal to -0.32? False Which is greater: 2 or 38? 38 Is 423 != 424? True Which is bigger: 1172 or 1168? 1172 Which is bigger: -1 or 0.0236? 0.0236 Is 328/19 less than 17? False Is -489/100 equal to -4? False Is -290 less than or equal to -300? False Which is smaller: 841/3 or 281? 841/3 Is -245 > -247? True Is 23364 less than 2/3? False Is 0.325 greater than -1/9? True Is -290 >= -288? False Which is smaller: -218 or 1? -218 Which is smaller: 7/103 or -5? -5 Are -1/45 and -44 equal? False Which is smaller: -22/19 or 2/5? -22/19 Does 46 = -3/4? False Is -389 bigger than -1948/5? True Are 1/982 and 1 nonequal? True Which is smaller: 36 or 21? 21 Is 6.9 bigger than -10? True Which is bigger: -411/2 or -207? -411/2 Are 9 and 149/15 equal? False Is -246 smaller than -246? False Is -19 <= -56/3? True Is -85 greater than -84? False Which is smaller: 33 or -6? -6 Are -1/2 and 2/179 nonequal? True Which is smaller: 10/311 or 1? 10/311 Is -27/23 < -2? False Is 418 equal to 417? False Which is bigger: 446 or 445? 446 Is -457 greater than or equal to -455? False Does 247 = 4/13? False Is -1 less than 2/809? True Is -171 at most -173? False Is -143 smaller than -140? True Which is bigger: -800 or -803? -800 Is -54 greater than -85? True Is -1 at most as big as -4/4937? True Which is greater: -226 or -2/7? -2/7 Which is bigger: 94/9 or 11? 11 Is 1208 at least as big as 1208? True Which is smaller: -1 or 1/78? -1 Is 567 at most as big as 1? False Which is smaller: 252 or 501/2? 501/2 Is -253 less than -7? True Which is greater: 22 or -0.34? 22 Is -108 greater than -105? False Which is smaller: -6
{ "pile_set_name": "DM Mathematics" }
common divisor of 16 and g? 2 Let f = 811 + -755. What is the highest common divisor of 14 and f? 14 Suppose -251 = -u + 5*v, -u = u + v - 557. Let c = u + -101. What is the greatest common factor of c and 25? 25 Let t be 0 + 1 + (83 - -2). What is the highest common factor of 215 and t? 43 Let k = -63 - -93. Let m = k - 24. What is the highest common factor of m and 42? 6 Let f = 399 + 52. What is the highest common factor of f and 41? 41 Let w = -161 - -165. Calculate the greatest common divisor of 4 and w. 4 Suppose k + 3*k - 131 = -5*n, 3 = -3*n. Calculate the highest common divisor of k and 85. 17 Suppose -3*z = -9*z. Suppose 3*y + 1 + 11 = z. Let f(w) = -w**2 - 4*w + 4. Let r be f(y). What is the greatest common divisor of 4 and r? 4 Let c be 15*5*3/15. What is the greatest common factor of 12 and c? 3 Let t = 7 - -29. Let y(k) = 2*k + 6. Let z be y(3). Calculate the highest common factor of z and t. 12 Let l = 117 - 81. Let u be 42/l + 1/(-6). Let y be (0 + u)/((-5)/(-70)). Calculate the highest common divisor of y and 21. 7 Suppose 0*w - w + 5 = 2*h, 0 = 3*h + 9. Let s(n) = -2*n + 24. Let a be s(-32). Calculate the greatest common divisor of a and w. 11 Let j = 2 + -17. Let b be (-369)/j - (-4 + 69/15). What is the highest common factor of 8 and b? 8 Suppose 4*n = 9 + 15. Let j(r) = 16*r + 2. Let f be j(-2). Let i be 3/((f/(-4))/5). What is the highest common divisor of n and i? 2 Let k be 50 + (-1 - -1*1). Suppose -2*n - 2*p - p = -25, n = -3*p + 5. Let l be ((-6)/12)/(-1)*n. What is the highest common factor of l and k? 10 Let g = -3 + 3. Let i = 13 - g. Let r = 40 - i. Calculate the greatest common factor of r and 9. 9 Let p be (2 + -1 + 11)/1. Suppose 5*h = 3*b - 5*b + 194, -5*h = 3*b - 191. Let m = 88 - h. What is the greatest common divisor of p and m? 12 Let x be 0/((-1 + 2)*-3). Suppose -10*s + 3*s + 7 = x. What is the highest common factor of s and 1? 1 Let p = 398 - 28. Calculate the highest common factor of 20 and p. 10 Let b = 208 - 113. Let n = -53 + b. What is the greatest common divisor of 6 and n? 6 Suppose -77 = -3*n - 5*x, 3*x - 6 - 6 = 0. Let t(d) = 10*d + 108. Let j be t(-7). Calculate the greatest common factor of j and n. 19 Let a be (-7)/(-2)*20/35. Let w(i) = -i + 3*i**2 + 2 - 6*i**a + 8*i**2. Let v be w(2). Calculate the greatest common factor of 50 and v. 10 Suppose -8*v + 2*k = -5*v - 2416, 0 = 2*k + 4. What is the highest common factor of 12 and v? 12 Let s(p) = 3*p**2 + 19*p + 77. Let v be s(-7). What is the greatest common divisor of v and 26? 13 Let w(b) = 332*b + 1. Let t = -2 + 4. Let p be w(t). Suppose 0 = -6*l + p + 343. What is the greatest common divisor of 24 and l? 24 Let h be (-10)/35 - 256/(-14). Let y be (-8)/6*h/(-1). Calculate the highest common divisor of y and 8. 8 Let o be 288*1*4/8. What is the greatest common divisor of o and 180? 36 Let o(p) = -p**3 - 2*p**2 + 8*p - 9. Let v be o(-5). Let q = -6 + 34. Let z = q - v. What is the highest common factor of z and 18? 2 Let u(g) = -g**2 + 6*g + 34. Let r be u(14). Suppose -10 = -5*z - 0. Let o be ((-4)/z)/(6/r). What is the highest common divisor of 65 and o? 13 Let t be ((-72)/28)/(2/(-7)). What is the greatest common factor of t and 9? 9 Suppose 12*p = -1315 - 389. Let j = -88 - p. Calculate the highest common divisor of 135 and j. 27 Let m = 64 + -36. Let h(w) be the first derivative of w**4/4 + 2*w**3/3 - 3*w**2/2 + 4*w + 2. Let n be h(-3). Calculate the highest common factor of m and n. 4 Suppose 0 = 2*l + d - 52, -4*l - 3*d + 48 = -2*l. Let p = 13 + l. What is the greatest common factor of 16 and p? 8 Let n be (-1*56/(-2))/2. Suppose 5*t + 4*k - 140 = 0, 0 = -5*t + 3*k + 95 + 45. What is the highest common factor of t and n? 14 Let g(b) = -b**2 - 12*b - 19. Let m be g(-5). Calculate the greatest common divisor of m and 88. 8 Suppose -v = 3*v - 288. Let f be 2/(-24)*-50 - 1/6. Let o(s) = -4*s + 25. Let q be o(f). Calculate the highest common divisor of q and v. 9 Let v(u) = u**2 - u. Let q(h) = -3*h - 22. Let m be q(-9). Let o be v(m). Calculate the highest common factor of 20 and o. 20 Let p(y) = -y**2 - 9*y - 4. Let r be p(-4). Suppose u + 4 = 3*f, -u - 7 = -5*f + 5. Calculate the greatest common factor of u and r. 8 Suppose 10*n = 30*n - 40. Suppose 0 = 3*f - 2*f - 16. What is the greatest common divisor of n and f? 2 Suppose 3*r - 40 = f, r - 3*r + 5*f + 44 = 0. What is the highest common divisor of 15 and r? 3 Suppose -5*w + 44 = 49. Let x be (w - (3 + -1))*-2. Calculate the highest common divisor of x and 42. 6 Let d be (-363)/(-8) + (-207)/552. Calculate the highest common divisor of d and 1335. 15 Suppose 0 = 4*d - 58 - 74. Let f(r) = r**3 + 7*r**2 + 5*r - 3. Let p be f(-5). Calculate the highest common factor of d and p. 11 Let j = 1 - -1. Suppose -3 = -a + j. Suppose u + a*u = 96. Calculate the greatest common divisor of 8 and u. 8 Let d be (9/18)/((-1)/(-46)). Let i = 427 - 220. What is the highest common divisor of d and i? 23 Let u be (-39)/7 + 30/(-70). Let w(s) = 2*s**2 - s - 2. Let z be w(-1). Let y be (9/u)/(z/(-4)). What is the greatest common factor of 60 and y? 6 Let p(q) = q**2 + 46*q + 33. Let g be p(-51). What is the greatest common factor of 9 and g? 9 Let x(d) = d**2 + 3*d + 7. Let h be x(-6). Let a = 483 - 233. Calculate the highest common factor of a and h. 25 Suppose 0 = -3*g - 8 - 4. Let v be (-2 - (g - -4))/(1/(-51)). What is the highest common divisor of 68 and v? 34 Suppose -11*s + 23 = -98. Let z(i) = -75*i**2 + i - 1. Let y be z(1). Let u = -20 - y. What is the greatest common divisor of s and u? 11 Suppose -34*t = -41*t + 1001. Calculate the greatest common factor of 11 and t. 11 Let f be (-2)/5 - 127/(-5). Let t = 34 - 30. Suppose 7*k - t*k - 15 = 0. Calculate the highest common divisor of k and f. 5 Let o = 47 - 42. Let c be ((-5)/15)/(o/(-135)). Calculate the highest common divisor of c and 1. 1 Let g(l) = -l**3 + 9*l**2 - 27*l + 59. Let w be g(6). Let h be (30/(-4))/(1/(-2)). What is the highest common factor of w and h? 5 Let u(d) = d + 6. Let z be u(-6). Let w = z + 1. Let v = -1462 - -1470. What is the highest common factor of v and w? 1 Let h be 4/(-6) + 9 + (-3115)/(-15). Calculate the greatest common divisor of 32 and h. 8 Let p(o) = -o**3 + 13*o**2 - 13*o + 1. Let c be p(7). Let z = c + -132. Let r(w) = 2*w**2 + 4*w. Let n be r(4). Calculate the highest common divisor of z and n. 24 Let s = 7 - 5. Let p be s/6 + (-272)/(-3). Let z = -15 + 28. What is the greatest common divisor of z and p? 13 Suppose 4*h - u = 499 + 302, 3*u - 597 = -3*h. Calculate the greatest common divisor of 140 and h. 20 Let l = 772 + -712. Suppose -2*q + q + 24 = 0. What is the greatest common divisor of l and q? 12 Let m = -1362 + 1412. Calculate the highest common divisor of m and 140. 10 Suppose -19 - 365 = -6*y. What is the greatest common factor of 416 and y? 32 Suppose -235*y + 19383 = -22*y. Suppose 2*v - 2 = -0, -v - 74 = 3*d. Let g = d + 38. Calculate the highest common factor of g and y. 13 Let b = -169 - -186. What is the greatest common factor of b and 119? 17 Let i be 10*4 + (-7)/(-7). Suppose i = 2*a - 19. Calculate the greatest common divisor of 15 and a. 15 Suppose 4*l + a = 4, 6*a - 4 = 3*l + 5*a. Suppose -4*k + k + 3*n = -27, l = -k - 4*n - 11. Calculate the highest common divisor of k and 65. 5 Suppose -5*q = -12 - 13. Let r(b) = -b**2 - 3*b - 3. Let g be r(-2). Let m(c) = 40*c**2 - 2*c - 2. Let o be m(g). What is the highest common factor of q and o? 5 Let m be ((-136)/(-51))/(1/39). Let t = 62 + -29. Let w = t + -20. What is the greatest common factor of m and w? 13 Suppose -2*x - 13 = -8*i + 3*i, 0 = 4*x + 3*i + 39. Let a be (x + 10)/(2/56). Calculate the highest common factor of a and 70. 14 Let u be (4/6)/((-48)/(-3096)). Let f = -27 + u. Calculate the greatest common divisor of 176 and f. 16 Let b(j) = -2*j + 28. Let l be b(-9). Let x be l/4 - (2/(-4) - 0). Let k be 0/(-1) + -2 + 8. Calculate the highest common factor of k and x. 6 Suppose -8*h + 255 = -3*h. Suppose -c - 3 = -h. Suppose -4*f - 3*r + 54 = 0, f + 1 = -5*r + 23. Calculate the greatest common factor of f and c. 12 Let w = -5846 + 5863. Let p = -782 - 49. Let x be 2/7 - p/7. What is the highest common factor of w and x? 17 Let z
{ "pile_set_name": "DM Mathematics" }
nder when 103173060 is divided by 20634609? 15 Calculate the remainder when 160233 is divided by 12. 9 Calculate the remainder when 51939019 is divided by 1305. 19 What is the remainder when 26219068 is divided by 67? 25 What is the remainder when 13207 is divided by 1013? 38 What is the remainder when 7235345 is divided by 7? 5 What is the remainder when 3077482 is divided by 2826? 2794 What is the remainder when 20306 is divided by 16386? 3920 Calculate the remainder when 3046036 is divided by 71. 65 Calculate the remainder when 1403028 is divided by 233776. 372 Calculate the remainder when 1595570 is divided by 2834. 28 What is the remainder when 22779 is divided by 21941? 838 What is the remainder when 158578 is divided by 129? 37 What is the remainder when 82520568 is divided by 667? 662 What is the remainder when 6878574 is divided by 8? 6 What is the remainder when 27513335 is divided by 36? 11 Calculate the remainder when 304874 is divided by 152032. 810 Calculate the remainder when 1386733 is divided by 240. 13 What is the remainder when 5860465 is divided by 338? 221 Calculate the remainder when 23204745 is divided by 12. 9 What is the remainder when 34150 is divided by 17070? 10 Calculate the remainder when 4079331 is divided by 679884. 27 Calculate the remainder when 85889 is divided by 419. 413 What is the remainder when 4366505 is divided by 1531? 93 Calculate the remainder when 118841 is divided by 1507. 1295 Calculate the remainder when 2083846 is divided by 27. 13 What is the remainder when 1452927 is divided by 1452922? 5 What is the remainder when 6050608 is divided by 19969? 1 Calculate the remainder when 291210383 is divided by 1688. 1687 What is the remainder when 367733 is divided by 1268? 13 Calculate the remainder when 98170 is divided by 245. 170 What is the remainder when 12524239 is divided by 778? 773 What is the remainder when 408276 is divided by 1453? 1436 Calculate the remainder when 39100384 is divided by 1303346. 4 Calculate the remainder when 5242693 is divided by 291239. 391 What is the remainder when 532111 is divided by 3146? 437 What is the remainder when 20019 is divided by 2403? 795 What is the remainder when 8885 is divided by 1472? 53 What is the remainder when 24506826 is divided by 730? 726 Calculate the remainder when 567240 is divided by 1565. 710 Calculate the remainder when 40858 is divided by 1631. 83 What is the remainder when 43842443 is divided by 1623793? 32 What is the remainder when 3127735 is divided by 105? 100 Calculate the remainder when 26207312 is divided by 547. 542 Calculate the remainder when 15931132 is divided by 414. 412 Calculate the remainder when 704396 is divided by 88043. 52 Calculate the remainder when 104021 is divided by 77. 71 Calculate the remainder when 11136855 is divided by 991. 988 What is the remainder when 2870552 is divided by 5640? 5432 What is the remainder when 2559877 is divided by 853138? 463 What is the remainder when 484016 is divided by 3312? 464 Calculate the remainder when 1618904 is divided by 231269. 21 Calculate the remainder when 1304693 is divided by 1184. 1109 What is the remainder when 319299 is divided by 105515? 2754 Calculate the remainder when 116323259 is divided by 284. 267 Calculate the remainder when 525628175 is divided by 11. 6 What is the remainder when 165446 is divided by 165376? 70 What is the remainder when 176857230 is divided by 35371446? 0 What is the remainder when 21449051 is divided by 186? 89 Calculate the remainder when 9229592 is divided by 615304. 32 What is the remainder when 3097212 is divided by 9414? 6 Calculate the remainder when 29917822 is divided by 15. 7 Calculate the remainder when 16209901 is divided by 1080660. 1 What is the remainder when 963464 is divided by 240860? 24 What is the remainder when 51375282 is divided by 4971? 4968 What is the remainder when 1113705 is divided by 1270? 1185 Calculate the remainder when 37621070 is divided by 74. 62 Calculate the remainder when 3489043 is divided by 2067. 2014 Calculate the remainder when 1022639 is divided by 1880. 1799 What is the remainder when 689652 is divided by 25? 2 Calculate the remainder when 5621457 is divided by 340. 237 What is the remainder when 11451067 is divided by 163? 154 Calculate the remainder when 93448 is divided by 45931. 1586 What is the remainder when 171628993 is divided by 473? 470 Calculate the remainder when 36589797 is divided by 130. 127 Calculate the remainder when 114454 is divided by 56331. 1792 Calculate the remainder when 15579 is divided by 5050. 429 What is the remainder when 9988810 is divided by 587565? 205 Calculate the remainder when 58328 is divided by 546. 452 What is the remainder when 28551 is divided by 8229? 3864 Calculate the remainder when 48068 is divided by 23596. 876 Calculate the remainder when 28811941 is divided by 1303. 5 Calculate the remainder when 234066 is divided by 2959. 305 Calculate the remainder when 50716 is divided by 1682. 256 What is the remainder when 14546803 is divided by 969781? 88 What is the remainder when 60141 is divided by 11383? 3226 Calculate the remainder when 513979 is divided by 128401. 375 Calculate the remainder when 6861949 is divided by 87. 85 What is the remainder when 16393179 is divided by 38? 17 What is the remainder when 76727227 is divided by 2526? 2503 Calculate the remainder when 2623234 is divided by 3721. 3650 Calculate the remainder when 161089277 is divided by 673. 670 Calculate the remainder when 1849916 is divided by 924934. 48 What is the remainder when 27378 is divided by 1949? 92 What is the remainder when 267460 is divided by 93? 85 What is the remainder when 95835636 is divided by 636? 612 What is the remainder when 2577489 is divided by 257748? 9 What is the remainder when 26053 is divided by 2024? 1765 Calculate the remainder when 37040 is divided by 12334. 38 What is the remainder when 29022422 is divided by 85360? 22 What is the remainder when 22738 is divided by 1259? 76 Calculate the remainder when 81239948 is divided by 189. 188 What is the remainder when 1663695 is divided by 62? 49 What is the remainder when 406621 is divided by 835? 811 What is the remainder when 24258 is divided by 444? 282 Calculate the remainder when 50315618 is divided by 2136. 2 Calculate the remainder when 412972 is divided by 1811. 64 What is the remainder when 131124 is divided by 4211? 583 Calculate the remainder when 1416860 is divided by 658. 186 Calculate the remainder when 203642 is divided by 1340. 1302 What is the remainder when 10239 is divided by 9845? 394 Calculate the remainder when 9353573 is divided by 328. 325 What is the remainder when 33424 is divided by 69? 28 What is the remainder when 549182 is divided by 18937? 9 What is the remainder when 20924874 is divided by 2366? 2336 Calculate the remainder when 2380919 is divided by 661. 658 Calculate the remainder when 16420091 is divided by 1232. 1227 What is the remainder when 5262034 is divided by 18? 4 What is the remainder when 457323 is divided by 226384? 4555 What is the remainder when 34072 is divided by 177? 88 What is the remainder when 194436073 is divided by 17676006? 7 Calculate the remainder when 20263136 is divided by 14. 12 What is the remainder when 342550 is divided by 2182? 2158 What is the remainder when 161482 is divided by 342? 58 Calculate the remainder when 11785670 is divided by 397. 328 Calculate the remainder when 2549095 is divided by 4846. 99 What is the remainder when 1725275 is divided by 17? 13 What is the remainder when 583253 is divided by 24302? 5 What is the remainder when 73241 is divided by 5990? 1361 What is the remainder when 97207 is divided by 829? 214 Calculate the remainder when 8919 is divided by 148. 39 What is the remainder when 54648612 is divided by 1015? 1012 Calculate the remainder when 112649919 is divided by 187. 184 Calculate the remainder when 82260 is divided by 37. 9 Calculate the remainder when 126502 is divided by 1304. 14 Calculate the remainder when 582953 is divided by 1584. 41 Calculate the remainder when 365443 is divided by 365432. 11 What is the remainder when 11752628 is divided by 22? 8 What is the remainder when 84945145 is divided by
{ "pile_set_name": "DM Mathematics" }
x) be the first derivative of -x**8/112 - 13*x**6/360 + 6*x**3 + 1. Let z(a) be the third derivative of l(a). Find the third derivative of z(g) wrt g. -360*g Let o(t) be the third derivative of 73*t**5/20 + t**4/12 - 73*t**3/2 + 350*t**2. Find the first derivative of o(f) wrt f. 438*f + 2 Let g(o) be the second derivative of o**3/6 + 101*o**2/2 - 155*o. Differentiate g(r) wrt r. 1 Let b(t) be the third derivative of 23*t**5/10 - 101*t**3/6 - 177*t**2. What is the derivative of b(u) wrt u? 276*u Let q be (-13)/(-26)*(0 - -2)*2. Find the second derivative of 13*m - 11*m + 16*m**q + 17*m**2 wrt m. 66 Let h(u) = -55*u**2 + u - 201. Let d(i) = -110*i**2 + 3*i - 401. Let p(b) = 2*d(b) - 5*h(b). Differentiate p(y) wrt y. 110*y + 1 Let w(a) = 5*a + 6. Let m be w(0). Let l(s) be the first derivative of 0*s + 0*s**3 + s**4 + m + 3/2*s**2. Find the second derivative of l(k) wrt k. 24*k Let g(w) be the first derivative of w**8/60 - 3*w**4/2 - 6*w**3 + 40. Let p(d) be the third derivative of g(d). Differentiate p(v) wrt v. 112*v**3 Let d(l) be the first derivative of 878*l**7/7 + 247*l**3/3 - l**2 + 209. What is the third derivative of d(g) wrt g? 105360*g**3 Suppose 0 = 4*m - 2 - 2. Let b = m - -1. Differentiate -5 - 4*o + b + 4*o - 5*o**3 wrt o. -15*o**2 Suppose 8 = 2*b - z, 6*b - 29 = b - 2*z. What is the second derivative of 1292 + 27*m - 1292 - 24*m**b wrt m? -480*m**3 Differentiate -23*c**2 - 450 - 21*c**2 + 67*c**2 - 20*c**2 + 3*c wrt c. 6*c + 3 Let s = 10 + -7. Let f(a) be the second derivative of 2/3*a**s - 7/12*a**4 + 5*a + 0*a**2 + 0. What is the second derivative of f(z) wrt z? -14 Let g(n) be the first derivative of -45*n**5 + n**3 + 88*n + 209. What is the third derivative of g(p) wrt p? -5400*p Suppose -105*s = -92*s. Let d(c) be the second derivative of -2*c**2 - 1/10*c**5 + 2*c + 0*c**4 + s + 0*c**3. Find the first derivative of d(v) wrt v. -6*v**2 Let h = 63 - 34. Find the first derivative of -9 + 20 - 4*a + h*a wrt a. 25 Let f(g) be the second derivative of 519*g**5/20 - 101*g**4/12 + 514*g. What is the third derivative of f(q) wrt q? 3114 Let n be 2/3 + (-292)/(-12). Find the third derivative of k**2 - n*k**3 - 10*k**4 - 5*k**2 + 25*k**3 wrt k. -240*k Let r(s) be the second derivative of 23*s**6/10 - 3*s**4/4 + s**2 + 10*s + 2. Find the third derivative of r(a) wrt a. 1656*a Let y(u) be the third derivative of -85*u**4/6 + 16*u**3 - 199*u**2. Differentiate y(t) with respect to t. -340 Suppose 0*y + 3*y - 18 = 0. Find the first derivative of 3*n**2 + y*n**2 - 11 - 2*n**2 + 6*n**2 wrt n. 26*n Differentiate -2*t**4 - 7 - 8 + 436*t**2 - 436*t**2 - 3*t**3 wrt t. -8*t**3 - 9*t**2 Let o = 66 - 65. Let y(r) = -r**2 - 1. Let w(q) = -4*q**2 - 27. Let z(v) = o*w(v) - 3*y(v). Differentiate z(a) wrt a. -2*a Let w(d) be the second derivative of -25/12*d**4 + 17/2*d**2 - 9*d + 0 + 0*d**3. What is the derivative of w(a) wrt a? -50*a What is the first derivative of 95 + 172 + 82 - 3*p + 137 + 3*p**3 - p wrt p? 9*p**2 - 4 Let f(y) be the first derivative of y**4/2 + 2*y**3 - 13*y**2 - 102. What is the second derivative of f(u) wrt u? 12*u + 12 Let h(j) = j - 2*j + 2*j. Let k be -9 - (-3 + (0 - 0)). Let d(g) = -3*g**2 + 3*g. Let n(v) = k*h(v) + d(v). Find the second derivative of n(o) wrt o. -6 Let m be 3*((-112)/(-105) - 4/10). What is the first derivative of 539*j**4 - 527*j**4 + 0 - m wrt j? 48*j**3 Let j(b) = 24*b + 44. Let q(g) = -2*g - 1. Let o(l) = -j(l) - 6*q(l). Differentiate o(t) wrt t. -12 Suppose u + 2 = t, -t - t - 5*u = -4. What is the third derivative of -r + r + 0*r + 2*r**t - r**3 wrt r? -6 Suppose 5*v - w - 38 = 2*w, 0 = -5*v + w + 36. Find the first derivative of -3 + 15*f - v + 3 wrt f. 15 Let n(j) = -73*j + 10. Let v be (-1 + 0)*36/12. Let p be n(v). What is the second derivative of 7*r - 229 + p - r**2 wrt r? -2 What is the second derivative of 134*k**2 + 10 + 25 + 4*k + 122*k**2 + 2*k - 2*k wrt k? 512 Let l(r) = 127*r**3 - 12*r**2 - 14*r - 4. Let t(g) = 128*g**3 - 10*g**2 - 15*g - 3. Let z(j) = -3*l(j) + 4*t(j). What is the third derivative of z(w) wrt w? 786 Let a(z) = -z**2 + 19*z + 46. Let i be a(21). Differentiate -2 + 13*u + 3 - 4*u + i with respect to u. 9 Differentiate 450 + 25*h + 372*h + 16*h with respect to h. 413 Let i(o) be the third derivative of -13*o**6/30 - 7*o**5/6 - 41*o**2 + 1. What is the third derivative of i(t) wrt t? -312 Suppose 53*q - 58*q = -25. Let t(m) be the second derivative of 0 - 2*m**2 - 3*m + 0*m**4 - 3/10*m**q + 0*m**3. What is the first derivative of t(r) wrt r? -18*r**2 Find the first derivative of 6 + 28*w**2 + 124*w**2 - w - 14 - 185 wrt w. 304*w - 1 Let x(b) be the second derivative of -431*b**5/20 - 29*b**4/6 - b**3/6 + 3*b + 6. Find the third derivative of x(d) wrt d. -2586 Suppose 2*f - 2*c - 4 = 2*c, 0 = -2*f + 3*c + 5. What is the derivative of 2 - 12*h**2 - 1 - 1 + f wrt h? -24*h Let n(c) = -c**4 + c**3 - c**2 + c - 1. Let o(x) = -4*x**2 - 5 + 6*x - 2*x + 4*x**3 - 7*x**4 + 5 + 12. Let u(q) = 4*n(q) - o(q). Differentiate u(t) wrt t. 12*t**3 Let y(w) be the third derivative of 131*w**5/30 - 17*w**3/2 - 10*w**2 + 7*w. Find the first derivative of y(l) wrt l. 524*l Suppose 2*q + 17 = 15. Let u = 0 - q. Differentiate u + 4*y + 1 - 7*y with respect to y. -3 Let l(j) = -7*j**3 + 229*j**2 + 763. Let x(q) = -2*q**3 + 2*q**2 + 1. Let g(a) = -l(a) + 3*x(a). What is the first derivative of g(r) wrt r? 3*r**2 - 446*r Let t(p) be the first derivative of p**9/252 - p**5/15 - 10*p**3/3 - 10. Let g(q) be the third derivative of t(q). Find the second derivative of g(b) wrt b. 240*b**3 Find the third derivative of 8*r**5 + 7*r**5 + 8*r**5 + r**5 + 46625*r**3 - 348*r**2 - 46623*r**3 wrt r. 1440*r**2 + 12 Let z(a) be the second derivative of a**9/126 - a**5/15 + 5*a**3/3 + 24*a. Let m(f) be the second derivative of z(f). Find the second derivative of m(v) wrt v. 480*v**3 Let i be 19/2 - 1/2. Suppose i*o = 7*o. What is the second derivative of -2*a + o*a + 5*a + 0*a + a**5 wrt a? 20*a**3 Let k(z) = 7*z**3 + 12*z**2 + 6*z - 138. Let o(q) = -q**2 - q - 2. Let u(n) = k(n) + 6*o(n). Differentiate u(b) with respect to b. 21*b**2 + 12*b What is the third derivative of 739*m**2 + 1110*m**4 + 61*m**5 - 555*m**4 - 560*m**4 wrt m? 3660*m**2 - 120*m Let d(x) = 83*x + 96. Let n(z) = -82*z - 97. Let u(v) = -2*d(v) - 3*n(v). Differentiate u(q) with respect to q. 80 Let a be (-1 + -1)*(2 - 1). Let j = a - -5. What is the third derivative of -n**2 - 3*n**5 - j*n + 3*n + 3*n**2 wrt n? -180*n**2 Let s(b) = -24*b**4 - 4*b**3 + 4*b - 76. Let f(o) = o**3 - o. Let v(h) = 4*f(h) + s(h). Differentiate v(u) wrt u. -96*u**3 Suppose -4*g + 12 = -6*g. Let l be 2/g - (-310)/30. What is the first derivative of -12 - l + 23 + 6*m**2 - m**2 wrt m? 10*m Let r(b) = -2*b - 8. Let z be r(-7). Let d(q) = q - 3. Let h be d(z). What is the second derivative of -6*a**3 - 2*a**h - 7*a + 3*a**3 + 0*a wrt a? -30*a Let k(z) = 2*z**2 + z - 6. Let f be k(-3). Differentiate -12*b**4 - f + 6 + 5 with respect to b. -48*b**3 Suppose 6*q = 4*q + 4. Find the first derivative of 10 - 9 + 3*c**q + 4*c**2 wrt c. 14*c Let t(a) = -6*a**2 - 7*a - 5. Let z(s) = 12 - 6*s - 2*s**2 - s**2 - 2*s**2 - 18. Let r(c) = 6*t(c) - 5*z(c). What is the second derivative of r(q) wrt q? -22 Let b(p) be the second derivative of 0*p**2 - 1/8*p**4 - 1/120*p**5 + 1/3*p**3 + 0 + 4*p. Let r(x) be the second derivative of b(x). Differentiate r(f) wrt f. -1 Let x be 86/18 + (-14)/(-63). Find the second derivative of -4*z**2 + z - x*z + 8*z**2 wrt z. 8 Suppose 6*a = 2*a + 3*v + 88, -5*a + 2*v + 110 = 0. Find the third derivative of -6*z**4 - 18*z**2 + 11*z**2 - a*z**4 wrt z. -672*z Let w(o) be the first derivative of 0*o + 0*o**4 + 0*o**5 + 0*o**3 - 15/2*o**2 + 2/3*o**6 - 14. Find the second derivative of w(f) wrt f. 80*f**3 Suppose 2*q + q = -2*z + 2, -8 = q + 5*z. Find the third derivative of -13*d**6 - 9*d**2 + 31*d**6 + d**q wrt d. 2160*d**3 Let u(t) = -2*t - 10. Let l be u(-6). Let z = 22 - 18. What is the derivative of -3*s**l + 52 - 56 + z*s**2 wrt s? 2*s What is the third derivative of -413*l**5 - 436*l**5 + 51*l**2 - 158*l**2 + 831*l**5 wrt l? -1080*l**2 Let s(p) be the second derivative of 5*p + 45/56*p**8 - 23/12*p**4 + 0*p**5 + 0*p**3 + 0 + 0*p**2 + 0*p**7 + 0*p**6. What is
{ "pile_set_name": "DM Mathematics" }
+ 12 for r. -3 Solve -4*w + 9*w - 6 = 4*r, -r = -5*w - 6 for r. -4 Solve 3*x = -4*m + 10, m - 3*x + 5 = -0*x for m. 1 Solve -2*g + 5*t = 9, -22 + 9 = 4*g - 5*t for g. -2 Solve 6 = 5*s + 3*f - 24, -s - f = -8 for s. 3 Solve -n + 12*r - 18 = 7*r, -4*n = 4*r for n. -3 Solve -2*u - 64*t = -63*t + 4, 0 = u - 3*t + 9 for u. -3 Solve 5*w = 4*z - 17, 5*z = -3*w - 23 - 2 for z. -2 Solve 0 = -5*i + 4*l + 22, -5*i - l - 9 = -8*i for i. 2 Solve 3*j = -2*r + 13, 5 = -r - 4*r for j. 5 Solve 3*i - 5*g = 29, -3*i - 10*g = -12*g - 17 for i. 3 Solve 2*w + 2*l = 4, -w + 3*l = -3*w + 4 for w. 2 Solve g + 5*j + 10 = -0*g, g + 4 = j for g. -5 Solve -i - 10 = -6*i - 5*o, 0 = -2*i - o + 7 for i. 5 Solve 18 = -3*i + 5*o, 4*o - 7 = i + 2*o for i. -1 Solve -4*p = -l + 12, -37*p + 4*l = -38*p + 14 for p. -2 Solve 26*v - 6 = 24*v - 3*n, 3*v - 9 = -3*n for v. 3 Solve -4*l + 12 = 3*c + 1, 0 = 3*l + 3 for c. 5 Solve 0 = -2*c + 4*u + 6, 0*c - 4*c = -5*u - 6 for c. -1 Solve 13*c = -5*k + 15*c - 15, 0 = -5*c for k. -3 Solve -s - 2*s + 8 = 4*r, 2*s = -r + 2 for r. 2 Solve v = 4*j - 14, 4 = 2*j - v - 4 for j. 3 Solve -7*c + 8*c + 5*r = -7, 4*c + r = 10 for c. 3 Solve -5*c + 34 = -3*u + 15, -2*c + 12 = u for u. 2 Solve 5*x + 13*n + 5 = 8*n, x + 5*n = -9 for x. 1 Solve 4*p - 3*k - 5 + 17 = 0, 0 = 2*k for p. -3 Solve 4*g = 3*y + 20, 2*g - 5*y = -9*y + 10 for g. 5 Solve -32 = 3*d - 4*g, -4*g = 2*d + 2*d - 4 for d. -4 Solve -39*f + 42*f + 11 = 5*w, 0 = -4*f + 3*w for f. 3 Solve -23 = -2*c + 22*b - 17*b, -4*c = -2*b - 22 for c. 4 Solve -k - w = 0, -37*k = -41*k + w - 10 for k. -2 Solve 4*x + 6*d = 3*d + 1, d = -4*x - 5 for x. -2 Solve -2 = 5*j - 6*y + 4*y, 12 = -4*j - y for j. -2 Solve 2*o - 5*c - 30 = -3*o, -5*o + 3*c = -24 for o. 3 Solve 3*a = -5*j + 48, a - 51*j - 46 = -56*j for a. 1 Solve -2*b + 0*b + 5*s = 28, -4*s = 3*b - 4 for b. -4 Solve 2*k + 18*t + 6 = 21*t, 0 = 5*k - 5*t + 5 for k. 3 Solve 3*f = -5*q, 2*f - 5*q + 22 = -3 for f. -5 Solve i + 4*h = -20, -2*i - 5*h + 3 = 28 for i. 0 Solve -6*s + 23 = w, 5*w - 31*s = -32*s + 28 for w. 5 Solve -2*o - b - 5 = 0, -26*o + 22*o + b + 5 = 0 for o. 0 Solve 0 = 4*u - 4, 4*w = -w + 3*u - 18 for w. -3 Solve 0 = 2*j + 5*r + 6, -3*j + 5*r = -j + 6 for j. -3 Solve -15*y = 4*v - 10*y, 0 = v + 3*y for v. 0 Solve -4 = -3*x + 4*x, -5*m = -4*x - 1 for m. -3 Solve -3*r + 5*f = -5, -15*r = -20*r + 3*f + 3 for r. 0 Solve -10*z + 7*z + k - 1 = 0, 0 = z - 3*k - 13 for z. -2 Solve 2*j + 1 = u, -13*j - 4*u + 12 = -17*j for j. 2 Solve -x + 2 = -3*t + 3, t = 5*x - 9 for t. 1 Solve -4*t - 112 = 4*n - 88, -2*n = -t for n. -2 Solve -4*b - 3*r = 9, -5*r - 15 = 58*b - 55*b for b. 0 Solve -4*p = 2*c + 26, -3*p + 5*c + 6 = -7 for p. -4 Solve -5*v + 5*n = 25, -7*n = 5*v - 9*n + 19 for v. -3 Solve -4*u + 4*j - 7 + 19 = 0, 2*u = -j + 9 for u. 4 Solve -4*w = y - 2, -4*y - 2*w = -3*y for y. -2 Solve -5*i - k - 19 = 0, -4*i + 0*i - 2*k = 14 for i. -4 Solve 5*r + 3*h - 5*h = -18, -4*h = -2*r - 20 for r. -2 Solve 0 = -o + 2*w - 4, -3*o + 4*w = 2*o + 14 for o. -2 Solve -3*u - 3*c = 24, 5*u + 88 - 66 = c for u. -5 Solve -n - 2*n - 12 = 0, -3*h - 4*n = 25 for h. -3 Solve 0 = -c + 5*g - 3*g + 9, 2*c + 5*g = -18 for c. 1 Solve -7*h + 4*h = -p - 9, p + 5*h = 7 for p. -3 Solve 3*i = 6, -2*y + 2 - 12 = 3*i for y. -8 Solve 10 = -0*m - 4*m + 2*n, 3*m + 5*n = -40 for m. -5 Solve 3*r = -3*c - 12, 3*r = 2*c + c - 18 for r. -5 Solve 0 = -3*z - 4*a - 28, 5*a - 7 + 43 = -4*z for z. -4 Solve -19 = -5*f - 2*k, -55*f - 3*k = -57*f for f. 3 Solve 0 = -5*y + 4*v, 5*y - 10*v + 25 = -11*v for y. -4 Solve m = -3*h + 2, h = 6*h - 10 for m. -4 Solve -20 = -4*q, 4*m - 4*q + 6 + 22 = 0 for m. -2 Solve 0*d = r - d, 0 = 5*r + d + 24 for r. -4 Solve 4*s = 4*b - 2*b + 28, 5*b + 20 = 0 for s. 5 Solve j = -2*j + 3*g - 6, -2*j = -g for j. 2 Solve 0 = -4*t - 3*x - 32, 5*t + 28 - 7 = x for t. -5 Solve 10 = 12*f - 17*f + 3*y, 0 = -2*f + 2*y for f. -5 Solve -5*z + 4*c - 28 = 0, 0*c - 3*c + 26 = -5*z for z. -4 Solve 2*k + 6*p + 18 = 2*p, 0 = 3*k + p + 7 for k. -1 Solve -x = -3*w - 0*w - 5, -4*x - 5*w + 20 = 0 for x. 5 Solve -t + 5 = 4*z - 15, -5*t = 3*z - 15 for t. 0 Solve -2 = -2*h, -4*h = 5*m - 2*m - 7 for m. 1 Solve -5*l = 3*i + 37, -9 + 0 = l + i for l. -5 Solve 5*m - 18 = 2*h, 5*h - 8 + 23 = 5*m for m. 4 Solve 9 - 4 = 4*q + n, -q + 4*n - 3 = 0 for q. 1 Solve 3*a - 4*l + 25 = -2*a, -3*l = 0 for a. -5 Solve -3*d = 2*f - 10, -4*d = -0*f + 3*f - 14 for f. 2 Solve 2*x + 4*n + 14 = 0, -4*x + 0*x = -5*n - 11 for x. -1 Solve 1 + 1 = 2*f + d, 5*d = 2*f - 2 for f. 1 Solve -5*y + 15 = 0, 4*y + 8 = -5*b + 5*y for b. -1 Solve -37 = -4*h - 3*p, -3*h - 4*p - 372 = -412 for h. 4 Solve t + 9 = -3*t + 5*z, 3 = -3*t + 3*z for t. 4 Solve -4*v = r + 9, 8*r - 4*r + 10 = -3*v for v. -2 Solve -4*s + 28 = 4*l, -9*l + 7*l - 4*s + 18 = 0 for l. 5 Solve 5*b - 10*n = -11*n + 12, -3*b + 3 = 2*n for b. 3 Solve 3*g - 15 = -3*i, -g + 20 - 7 = 5*i for g. 3 Solve 0 = -3*k - 2*x - x - 9, -3*x - 2 = -4*k for k. -1 Solve -14*f + 5*y = -9*f + 30, y - 11 = 2*f for f. -5 Solve 2*f - 18 = 4*v, -36*f + 37*f = -1 for v. -5 Solve -n + 19 = -3*g, -2*n + 3*g + 6 = -17 for n. 4 Solve -5*z + 11 = -2*n, -22 + 8 = -4*z - n for z. 3 Solve f + 294*g = 299*g + 6, -5 = -2*f + 3*g for f. 1 Solve -2*m - 812 = 4*u - 804, 3*u = -m - 6 for u. -2 Solve -5*m = -0*m + 4*u - 25, 3*m - 2*u = 15 for m. 5 Solve 0*k + 5*h - 10 = -2*k, 3*h - 37 = 5*k for k. -5 Solve -30 = 2*g - 4*a, 2*g = 5*a - 58 + 23 for g. -5 Solve 8*m - 8 = -4*b, 9*b = 10*b + m for b. -2 Solve -2*t + 3 = -4*h + 1, 0 = -3*h - 5*t + 31 for h. 2 Solve -6 = -2*g - 5*f, 9*g - 6*g + 14 = 4*f for g. -2 Solve 3*r - 5*y = -17, -2*r - y + 13 = -5*r for r. -4 Solve -5*r + 6*m - 5*m = 10, -r - 3*m - 18 = 0 for r. -3 Solve -w - 1 = -2*u, 0 = 3*w - 6*w - 2*u - 11 for w. -3 Solve 13 + 12 = -2*k - 3*p, -3*p = -5*k - 10 for k. -5 Solve -4*p + 0*p = 2*t + 16, -3*p = 5*t + 12 for p. -4 Solve 0 = 3*d + 9*y + 12, 57*d - 3*y = 54*d + 12 for d. 2 Solve 2*x - 4*x + 24 = 4*d, d = 5*x - 5 for d. 5 Solve -2*z - l + 4 = 0, 3*z - 3*l - 9 = 6 for z. 3 Solve 0 = h + h + 4*l, 3*h + 5*l - 1 = 0 for h. 2 Solve -5*y + 5*l - 26 = 9*l, 0 = -y + 3*l + 10 for y. -2 Solve -z + 4*c - 2 = 0, 6 - 4 = -z + 3*c for z. -2 Solve -2*z + 21 = -5*l, z + 12 = 2*l + 20 for l. -5 Solve 0 = 3*i - 5*n - 20, 4*i - 6*i = -3*n - 12 for i. 0 Solve -a + 9 = 9*j - 10*j, 4*j = -a - 16 for j. -5 Solve -5*i + 5*o = 45, -3*o - 13 = 107*i - 102*i for i. -5 Solve -2*x = 4*y + 5 + 1, -4*y = 3*x + 5 for x. 1 Solve v - 122*n + 14 = -127*n, 6 = -3*v - 3*n for v. 1 Solve 2*s + 2*j + 4 = 0, -2*s - 5*j = -3*s - 14 for s. -4 Solve -3 = 5*z + 4*k - 0*k, -z - 4*k - 7 = 0 for z. 1 Solve 5*h + 4*l - 13 = 0, 0 = -36*h + 34*h + 2*l - 20 for h. -3 Solve -8*q + 3*q + d + 14 = 0, -3*d + 26 = 2*q for q. 4 Solve 4*y - 10 = -2*s + y, s = y for s. 2 Solve 0 = 4*r + 4*f - 28, 2 + 1 = -r + 4*f for r. 5 Solve 3*d - 5*p + 9 = 2*d, 3*p - 19 = 4*d for d. -4 Solve -13*v - 5 = -15*v + t, -5*v + 3*t = -15 for v. 0 Solve -3*j + 2*p = 2 + 1, 3*p = 2*j + 7 for j. 1 Solve -4*y + 13 = 4*o - 3*o, -y + 4*o - 18 = 0 for y. 2 Solve -5*s + 9*b - 35 = 5*b, s - 12 = -3*b for s. -3 Solve 4*c + 1 = -4*q + 3*q, 5*q - 19 = 4*c for q. 3 Solve 2*c - g + 4 = -3*c, -6*c - g + 15 = 0 for c. 1 Solve -186*g = -3*l - 183*g - 9, 0 = 4*l + 3*g - 2 for l. -1 Solve -5*s + 15 = -2*t + 10, -2*s + 2 = 2*t for t. 0 Solve -28*w + 27*w + 13 = 3*m, -2*w - 4*m + 18 = 0 for w. 1 Solve 0 = -4*q - 4*l + 8 - 0, -l = -5*q - 20 for q. -3 Solve -5*n + 5 = 5*d, 11 = 2*d - 6*n + 5*n for d. 4 Solve -r = -i + 8, 3*r - 20*i + 25*i - 8 = 0 for r. -4 Solve -3*i + i = -2, 5*i - 11 = 2*q for q. -3 Solve -2*g - 25 = -5*u, -u - 194 = 4*g - 199 for g. 0 Solve -5*z + 12 = 2*k - 16, -2*z = -4*k + 8 for z. 4 Solve k = 5*o - 1, k + o + 0 = 5 for k. 4 Solve -13*b = -14*b - 3, -3*j - 12 = 5*b for j. 1 Solve 7*j = 2*j - 2*l + 7, 0 = 4*j - 2*l - 2 for j. 1 Solve -6*b + 10*b = -5*z + 8, -4*z = 5*b - 1 for z. 4 Solve -5*l + 5*j - 22 = -7, -3*l - 9 = 4*j for l. -3 Solve -l - 5*s + 40 = -6*l, 0 = -l - 5*s + 16 for l. -4 Solve 3*t + 0*t + 4*y = 3, -2*t - y + 2 = 0 for t. 1 Solve -4 = -4*l - 4*c, l + 0*c = -2*c + 1 for l. 1 Solve 2*l + 5*s - 7 = 0, 0 = 5*l - s - 4 for l. 1 Solve 4*m + 24 = 5*w, -m - 6 = -5*w + 15 for m. -1 Solve -5*b - t = 3*t - 14, -2*b - 2
{ "pile_set_name": "DM Mathematics" }
+ 5)*5. 200*sqrt(5) + 595 Simplify 1 + ((sqrt(432) - 4*(sqrt(432)*-1 - sqrt(432) - sqrt(432)))**2 - (sqrt(432) + 1*sqrt(432))**2*-5)*-1*4. -326591 Simplify ((-2*-6*sqrt(1200) - sqrt(1200))/(6*-2*sqrt(6) + sqrt(12)/sqrt(2)*5) + 3)*-6. -18 + 660*sqrt(2)/7 Simplify ((sqrt(15) + 5*sqrt(1815) + -1*sqrt(540))/((sqrt(75) + sqrt(75) + sqrt(75)*-2*-4)*5))**2. 1/5 Simplify -5*(sqrt(171)*1 + 3 + sqrt(171) + 2 + 0 + sqrt(171)*1*4 + 6*(sqrt(171) + 3))**2. -125765 - 8280*sqrt(19) Simplify ((sqrt(390) - 5*(sqrt(390)*1 + sqrt(390) + sqrt(390)))/((1*sqrt(120))/sqrt(12)))/(sqrt(243)*1 + 6*sqrt(12)). -2*sqrt(13)/3 Simplify -4*(5*(2 + (sqrt(605) - -1*sqrt(605))**2 + -4 + sqrt(605)) - (1 + -1*sqrt(605) + sqrt(605) + (sqrt(605) - 6*(sqrt(605)*1)**2) + sqrt(605))). -62876 - 132*sqrt(5) Simplify ((1*(-4*sqrt(720)*2 + sqrt(720) - sqrt(720))*4 + (sqrt(720) - (sqrt(720)*2 + 5) - (5 + -3*sqrt(720))))*1)**2. 7200*sqrt(5) + 648100 Simplify ((sqrt(240) - ((3*1*sqrt(240) - sqrt(240) - sqrt(240) - sqrt(240) - sqrt(240)) + sqrt(240)))*-6)/(-4*-1*sqrt(5) + (-1*sqrt(5)*1 - sqrt(5))). -12*sqrt(3) Simplify (-1 + (5*(sqrt(2) + sqrt(32) + sqrt(2)) - (sqrt(2) - -4*-2*sqrt(2))))**2 - (4*(sqrt(2) + 0) + sqrt(2)*-4*3). -66*sqrt(2) + 2739 Simplify (4*sqrt(200) + sqrt(4)/sqrt(2) + 3)*-5 + 1 + ((sqrt(132)*-1)/sqrt(6) + sqrt(22))/((2*sqrt(132))/sqrt(12)). -205*sqrt(2) - 14 Simplify (-1*sqrt(99)*1*-1*1)/(-3*sqrt(1089) + -5*sqrt(36)). -sqrt(11)/43 Simplify (sqrt(98) + sqrt(98)*3*-2 + (sqrt(98) - (sqrt(98) + sqrt(98) + -1 + -3) - sqrt(98)) + 4)**2 + 4 + 2 + ((sqrt(98)*2 + 4)*-4)**2. 1008*sqrt(2) + 11400 Simplify (sqrt(1260)*-3)/(2*sqrt(245)) + (sqrt(49) + 2*sqrt(1225) + sqrt(1225))/(sqrt(1008)*-2 - sqrt(1008) - sqrt(1008)) + 1. -34*sqrt(7)/21 + 1 Simplify (2*(sqrt(108) + (sqrt(108) + (sqrt(108) - (sqrt(108) - 1*sqrt(108))))*-2)*-5 - ((sqrt(108) + (-1*sqrt(108) + 1 - sqrt(108)))*-3 + -2))**2. 1620*sqrt(3) + 78757 Simplify (0 + -5 + 5*(2*sqrt(3087) + sqrt(3087)) + (sqrt(3087) + (sqrt(3087)*-1 - sqrt(3087)))*-1 + 0 + 0 + sqrt(3087) + -4)**2. -6426*sqrt(7) + 892224 Simplify (-2*((2 + (sqrt(300) + -2 - sqrt(300)) + sqrt(300) - sqrt(300)) + -2*-3*sqrt(300) - (3*sqrt(300)*6 - (2 + sqrt(300) + -3))))**2. 880*sqrt(3) + 145204 Simplify ((1*(sqrt(154) - (sqrt(154) - -4*sqrt(154))))/sqrt(7)*-6)/((4*sqrt(66))/sqrt(6) + sqrt(1584) + -5*sqrt(1584)). -6*sqrt(2)/11 Simplify ((-2*(2 + sqrt(325)) + (sqrt(325) - (sqrt(325) + -1*sqrt(325) + sqrt(325))*-1) + 2)*-6 + 0)**2. 144 Simplify ((sqrt(720) + -3)*2)**2 - (sqrt(720)*-1*5 + sqrt(720)) - 5*(1 + (sqrt(720) + -1 + sqrt(720))**2*1). -11494 Simplify (sqrt(1694) + sqrt(1694)*-1*-3 - sqrt(1694) - -3*(sqrt(1694) + (sqrt(1694)*1 - sqrt(1694))))/(-1*(6*sqrt(224))/sqrt(8)). -11*sqrt(2)/2 Simplify ((-1*sqrt(343) + sqrt(343) + 0 - sqrt(343)) + -6*3*sqrt(343) + (sqrt(1512)*-4 + sqrt(42))/(sqrt(42)/(sqrt(49)/sqrt(7)) + sqrt(6)))**2. 584647/4 Simplify -2*4*(sqrt(114) + (sqrt(114) + sqrt(114) + sqrt(114)*-2)*1)/(2*sqrt(294) - sqrt(6))*1. -8*sqrt(19)/13 Simplify ((sqrt(121)/sqrt(176) + -2 + sqrt(11) + -4 - (sqrt(11) + (sqrt(1100) - (1 + sqrt(1100))) + sqrt(1100) - sqrt(132)/(sqrt(12) + sqrt(588))))*5)**2. 9625*sqrt(11)/4 + 1670475/64 Simplify (-3*(sqrt(4000) - (sqrt(4000) + sqrt(4000)*5*6 + sqrt(4000))))/(sqrt(8) - sqrt(128)*-5 - sqrt(8) - (sqrt(8) - sqrt(8)*-3*2)). 930*sqrt(5)/13 Simplify ((-2*sqrt(64) + sqrt(16))/sqrt(4))/(sqrt(16)/(sqrt(24)/sqrt(3)*4)). -12*sqrt(2) Simplify -6*6*(5 + sqrt(252)*5 + sqrt(252) + (3*(sqrt(252) + 4 - sqrt(252) - sqrt(252)))**2)*1. -87012 + 14256*sqrt(7) Simplify ((sqrt(900) - 2*sqrt(900) - sqrt(900)) + sqrt(900) + sqrt(900) + sqrt(900) - (sqrt(36) - -5*sqrt(900)))/((sqrt(768) + 6*(sqrt(768) + -2*sqrt(768)))*2). 21*sqrt(3)/80 Simplify 3*5*(-1 + sqrt(448) + 1 + -5 + ((2*(-1 + sqrt(448) + sqrt(448)))**2 - (-3 + sqrt(448) + sqrt(448)*2)**2))*-2. -93780 - 720*sqrt(7) Simplify (3*-2*(2*(sqrt(1088) + 1 + sqrt(1088)) - (-3 + -1 + sqrt(1088))))**2*3*2. 62208*sqrt(17) + 2122848 Simplify -4*((5 + sqrt(272))*-5 + -5 + -5 + sqrt(272)*3*-4 + 0)**2. -319332 - 19040*sqrt(17) Simplify 3 + ((1*sqrt(11) + sqrt(11) + 2)**2 - -1*(sqrt(11)*-2)**2) - 1*(0 + sqrt(11) + 4 + sqrt(99)/(-1*sqrt(9))). 8*sqrt(11) + 91 Simplify 5*(5*(2 + 3*((2 + sqrt(500))*-3)**2) + -1). 27000*sqrt(5) + 340245 Simplify (sqrt(114)/(sqrt(6)*3) + sqrt(19) + sqrt(171)*-2 + (-5 + 1 + sqrt(1539))*6 + -2)**2*-4. -1689040/9 + 30784*sqrt(19)/3 Simplify sqrt(297)/(sqrt(11)*1) + (sqrt(486)/sqrt(2))**2 + (sqrt(6) + sqrt(6)*2*4)/sqrt(2)*-2. -15*sqrt(3) + 243 Simplify (-1*sqrt(204))/sqrt(12) + 4 + -1 - (sqrt(187)*-2*-4)/(sqrt(11) - sqrt(275)*-1). -7*sqrt(17)/3 + 3 Simplify ((sqrt(441)/(-2*sqrt(700))*6 + 4)*-3)**2. -324*sqrt(7)/5 + 19503/100 Simplify (3 + -2*(-5 + sqrt(343) + (0 + sqrt(343))**2 + sqrt(343) + sqrt(343))*-3)*3. 378*sqrt(7) + 6093 Simplify (3*(-1*sqrt(468)*4*4 - (2*(2*sqrt(2548) + sqrt(2548)) + sqrt(2548) + (0 + sqrt(2548))*-5)))**2. 1798992 Simplify (((sqrt(114)*-1*-4)/(sqrt(162) + sqrt(162) + sqrt(162)*-1 + sqrt(162) - sqrt(162)))/((-6*sqrt(147)*2 + sqrt(147))*1))**2. 304/480249 Simplify (-6*sqrt(170)*1)/(2*sqrt(360))*3 + (sqrt(2057) + (sqrt(2057) - (0 + sqrt(2057) + sqrt(2057))))**2*-5*-2*-5. -3*sqrt(17)/2 Simplify (sqrt(2940)*-1)/(-5*sqrt(108) + sqrt(12)) - ((sqrt(80) - (-1 + sqrt(720))**2) + ((sqrt(90)/sqrt(3)*3)/sqrt(6))**2). -55*sqrt(5)/2 + 676 Simplify -2 + (5*6*(sqrt(1053) + (sqrt(1053)*-2 - sqrt(1053)) + sqrt(1053) + -5 + sqrt(1053)))**2 + 0 + -1. 22497 Simplify (-4*(6*(sqrt(1573) - 2*sqrt(1573)) + sqrt(78)/(sqrt(216) + sqrt(216)*-1 - sqrt(6)) + 2))**2. -4288*sqrt(13) + 933776 Simplify (-2*(sqrt(171)*2 + 5) + (sqrt(19) - sqrt(684)) + 3 + (sqrt(228)*-4)/sqrt(12))**2. 294*sqrt(19) + 8428 Simplify (-1*((sqrt(612) - (3*sqrt(612) + 4))*-2 + -6*(-4 + -3*sqrt(612))) + -1)**2. 8712*sqrt(17) + 297297 Simplify (5*2*sqrt(700)*-1 + 1 - ((sqrt(700) + 0)*-1 + sqrt(700) + (sqrt(700) - (-2*sqrt(700) + -4))))**2. 780*sqrt(7) + 118309 Simplify -4 + (sqrt(72) - (sqrt(72)*-1 + -1) - -6*(0 + sqrt(72))) - 5*(-4*4*(-1 + sqrt(2)))**2*1. -3843 + 2608*sqrt(2) Simplify -2 + -5*((sqrt(8)*-6 + -2)**2 + 3 + (-1 + (2 + sqrt(8)/sqrt(4) + sqrt(2))**2)*-3). -1312 - 120*sqrt(2) Simplify ((2 + sqrt(17))*2 + (2 + sqrt(17) + -2 - sqrt(17)) + 5)**2 + ((1*(sqrt(204) + 1*sqrt(204)))/sqrt(12) - (sqrt(2057) + -1 + 0))**2. 18*sqrt(17) + 1527 Simplify 5*1*(-5 + ((-3*sqrt(12))/sqrt(6))**2 - ((sqrt(2) + -2 + sqrt(2))*4 + sqrt(2) + (-2*sqrt(288) + sqrt(288) - sqrt(288)))). 105 + 75*sqrt(2) Simplify ((-4 + -4*(sqrt(162) + (sqrt(162) - sqrt(162)*-4)) + (sqrt(162) - 3*(0 + sqrt(162) + sqrt(162))))*2)**2*5. 41760*sqrt(2) + 2725160 Simplify (-3 + -3*(-2 + (-2*(1 + sqrt(684)) + (sqrt(684) + 0)*-1)*5*2))**2. 68040*sqrt(19) + 5544369 Simplify (sqrt(44)/sqrt(32))/(sqrt(1100) - (sqrt(1100) + 2*sqrt(1100))) + -2 + ((sqrt(8)*-1)/sqrt(4) - (1 + sqrt(72))). -561*sqrt(2)/80 - 3 Simplify -6*(-3 + (2*(sqrt(1008) - sqrt(28)))/(4*(sqrt(4) + sqrt(24)/sqrt(6)))*5)*3. -225*sqrt(7)/2 + 54 Simplify (-4*(-3*sqrt(528)*-1)/(1*sqrt(66)/sqrt(6) + sqrt(11) + sqrt(11)))**2*-4. -3072 Simplify (3*(-2*-2*sqrt(204)*-1)/((2*sqrt(144))/sqrt(12)*-1) + -2)**2. -24*sqrt(17) + 616 Simplify 4*((sqrt(2448) + 1 + -1 - sqrt(2448))**2*-4 + (2 + 2*sqrt(1088) + sqrt(1088) - (sqrt(1088)*-2 + 4)**2)). -17464 + 608*sqrt(17) Simplify (((-2*sqrt(65) + sqrt(65))*-3*3)/((sqrt(80)*1 - sqrt(5))*-5))**2 + -1. 92/25 Simplify (-3*sqrt(34)/sqrt(2) - 1*-2*sqrt(17) - (sqrt(1700) - ((-1*sqrt(1700))**2 + 4))) + 3*(sqrt(612) + 1*sqrt(612) + -3)*-4. -155*sqrt(17) + 1740 Simplify (-3*sqrt(20)*-1 - sqrt(20) - (sqrt(20) - sqrt(120)/sqrt(6))*3)/(-5*-5*sqrt(490)*-2). -sqrt(2)/175 Simplify ((-4*((sqrt(171)*1 + sqrt(171) - sqrt(171)) + 2) - (2 + -3 + sqrt(76)/sqrt(4))*-4)*-3)**2. 1728*sqrt(19) + 12240 Simplify 5 + ((3 + 0 + sqrt(245) - (sqrt(245) - (sqrt(245)*1 + 1 + sqrt(245)))) + -4 + sqrt(245) + 1 + 5)**2. 252*sqrt(5) + 2246 Simplify (4*sqrt(66)*-2 + sqrt(66)*-2*-1)/((-1*sqrt(384) + sqrt(384))*-5 - (sqrt(384) + 2*sqrt(384))*-3). -sqrt(11)/12 Simplify (2*(4 + -1*(sqrt(2816)*4 - sqrt(2816)) + (sqrt(2816) + (sqrt(2816) - (sqrt(2816) + 2)))*5))**2. -1536*sqrt(11) + 45200 Simplify 2 + -1*(sqrt(432) - (1 + sqrt(432) + sqrt(432)))**2 + (sqrt(81)/sqrt(12) + sqrt(108)/sqrt(64))**2. -6653/16 - 24*sqrt(3)
{ "pile_set_name": "DM Mathematics" }
Solve q(s) = 0. -3, 2 Suppose -18*u + 86 = 14. Let t(z) be the first derivative of 16/9*z**3 + 0*z + 0*z**2 + 0*z**u - 2/9*z**6 + 17 - 4/5*z**5. Factor t(g). -4*g**2*(g - 1)*(g + 2)**2/3 Let v(a) be the first derivative of -a**4/6 - 4*a**3/3 - 3*a**2 + 118*a + 124. Let w(d) be the first derivative of v(d). Factor w(p). -2*(p + 1)*(p + 3) Suppose 2*j = d + 11 + 66, -2*d - 10 = 0. Factor 4*m**2 + j*m + m**2 - 16*m. 5*m*(m + 4) Let o(n) be the third derivative of 1/20*n**4 + 18*n**2 + 0*n + 0*n**7 + 1/840*n**8 - 1/75*n**6 + 1/75*n**5 - 2/15*n**3 - 2. Let o(j) = 0. Calculate j. -2, -1, 1 Let u(g) be the third derivative of 4*g + 0*g**3 + 0 - 8/27*g**4 - 13*g**2 - 2/945*g**7 + 0*g**6 + 4/45*g**5. Solve u(n) = 0 for n. -4, 0, 2 Factor 56*i + 3367*i**2 - 3972*i**2 + 224*i - 125 + 270*i. -5*(11*i - 5)**2 Let -5*c**4 + 0*c**4 - 43*c**3 + 3*c**4 - 23*c + 51*c**3 + 22*c**2 - 37*c = 0. What is c? -3, 0, 2, 5 Let -2/11*f**3 + 306/11*f + 234/11 + 70/11*f**2 = 0. Calculate f. -3, -1, 39 Let s(b) be the second derivative of b**6/3 - 3*b**5/10 - b**4/12 + 39*b. Let j(a) = -9*a**4 + 7*a**3. Let p(d) = -3*j(d) - 2*s(d). Factor p(o). o**2*(o - 1)*(7*o - 2) Let j(h) = 12*h**2 - 64*h + 67. Let x be j(1). Let c(g) be the first derivative of -1/2*g**4 + 18 + 14*g + 6*g**3 - x*g**2. Factor c(q). -2*(q - 7)*(q - 1)**2 Suppose 1 = 4*g - 19. Suppose 10 = g*c - 5. Suppose 11*f + 0 - 29*f + 8 - 2*f**2 + 10*f + 2*f**c = 0. What is f? -2, 1, 2 Let c = -199 - -204. Suppose 0 = -g - 4*w + 11, 11*g - 12*g - c*w + 13 = 0. Suppose -1/3*q**5 + 0 - 1/3*q**4 - 2/3*q + q**g + 1/3*q**2 = 0. Calculate q. -2, -1, 0, 1 Let g = -128 + 130. Factor 4*x + 5748 + 2*x**g + 107*x - 30*x + 119*x - 748. 2*(x + 50)**2 Let r = -171 + 173. Factor 18*u**4 - 3*u + 0*u**3 + 50*u**r + 2 + 48*u**3 + 22*u + 3*u**3. (u + 1)**2*(3*u + 2)*(6*u + 1) Let p(w) be the second derivative of w**5/4 + 1045*w**4/6 + 110240*w**3/3 + 216320*w**2 + 44*w + 2. Factor p(m). 5*(m + 2)*(m + 208)**2 Suppose -1391*t + 4 = -1393*t - a, 19*a + 160 = 4*t. Factor -4/5 - 3/5*s - 1/10*s**t. -(s + 2)*(s + 4)/10 Solve 1450*i**2 - 139*i**5 - 100*i**4 - 1981 - 185*i**5 + 329*i**5 + 631 + 100*i**3 - 105*i = 0. -3, -1, 1, 5, 18 Let y(b) = b**2 + 25*b + 24. Let x be y(-24). Find f, given that -f**2 + x*f**2 - 33*f + 29*f = 0. -4, 0 Let u(z) be the first derivative of 2*z**3/5 - 49*z**2 + 1517. Find f such that u(f) = 0. 0, 245/3 Let t(b) be the third derivative of b**5/36 + 815*b**4/72 - 410*b**3/9 + 15*b**2. Factor t(c). 5*(c - 1)*(c + 164)/3 Let a(f) = -16*f**4 + 8755*f**3 + 4387*f**2 + 22*f. Let s(v) = -8*v**4 + 4378*v**3 + 2194*v**2 + 12*v. Let g(j) = -6*a(j) + 11*s(j). Factor g(d). 4*d**2*(d - 547)*(2*d + 1) Let b(n) be the third derivative of n**8/151200 - n**7/18900 - n**6/1800 + 5*n**5/3 - 276*n**2. Let r(s) be the third derivative of b(s). Factor r(a). 2*(a - 3)*(a + 1)/15 Determine n so that 567*n**4 - 7255*n**3 + 858*n**4 - 1710*n + 8975*n**2 - 1400 + 1176*n**5 - 609*n**5 - 602*n**5 = 0. -2/7, 1, 4, 35 Let f(c) be the first derivative of 2*c**5/65 + 11*c**4/26 + 76*c**3/39 + 4*c**2 + 48*c/13 - 4202. What is m in f(m) = 0? -6, -2, -1 Find y, given that 20*y**4 + 104*y**3 + 36 - 184*y**2 + 402*y + 189*y**5 - 366*y - 201*y**5 = 0. -3, -1/3, 1, 3 Let r(a) be the first derivative of 82369*a**4/26 - 438536*a**3/13 - 9180*a**2/13 - 64*a/13 + 328. Factor r(n). 2*(n - 8)*(287*n + 2)**2/13 Factor 256/21*p - 254/21 - 2/21*p**2. -2*(p - 127)*(p - 1)/21 Let c(o) be the third derivative of o**5/30 - 109*o**4/4 - 953*o**2 + o. Suppose c(y) = 0. What is y? 0, 327 Let t(r) be the third derivative of -r**5/60 + 5*r**4/24 + 2*r**3/3 + 16*r**2. Let j be t(5). Factor -6*y**2 + 3*y**2 + j*y + 3*y**2 + 4*y**2 - 8. 4*(y - 1)*(y + 2) Let j(p) = -4*p**5 - 38*p**4 + 64*p**3 - 40*p**2. Let f(w) = 4*w**5 + 36*w**4 - 68*w**3 + 40*w**2. Let d(u) = 3*f(u) + 2*j(u). Solve d(r) = 0 for r. -10, 0, 1 Let h(y) be the second derivative of 5*y**6/24 + 13*y**5/12 - 5*y**4/4 + 95*y**2/2 + 41*y. Let l(w) be the first derivative of h(w). Let l(v) = 0. Calculate v. -3, 0, 2/5 Factor 256*p**2 - 260*p**2 + 409 + 88 - 572*p + 79. -4*(p - 1)*(p + 144) Let j(k) be the second derivative of k**7/189 + 38*k**6/135 - 41*k**5/30 + 2*k**4/27 + 164*k**3/27 - 1228*k. Find t such that j(t) = 0. -41, -1, 0, 2 Suppose 1197*j - 2129*j - 2236*j + 1264 + 709*j**3 + 2273*j**2 - 721*j**3 - 357*j**2 = 0. Calculate j. 2/3, 1, 158 Let x(u) be the first derivative of -42 + 0*u**2 + 0*u - 3/4*u**4 + 8/7*u**3 - 3/35*u**5. Find v, given that x(v) = 0. -8, 0, 1 Let o be (-63)/28*24/(-63). Let a = 108/77 - o. Let 0 + 10/11*b**3 - 14/11*b**2 - 2/11*b**4 + a*b = 0. What is b? 0, 1, 3 Let c(r) be the first derivative of -5*r**3/3 - 5*r**2/2 + 660*r + 2729. Factor c(h). -5*(h - 11)*(h + 12) Let u(w) be the third derivative of -w**8/560 - 57*w**7/350 + 73*w**6/40 - 807*w**5/100 + 94*w**4/5 - 126*w**3/5 + 4*w**2 - 1836*w. Solve u(n) = 0 for n. -63, 1, 2 Let b(a) be the third derivative of 7/180*a**6 + 1/18*a**4 - 2*a - 18*a**2 + 1/10*a**5 + 0 + 0*a**3. Solve b(u) = 0 for u. -1, -2/7, 0 Let q be (10/225*(-270)/(-36))/(2/34). Factor -20/3 + 1/3*a**4 - 59/3*a - q*a**3 - 19*a**2. (a - 20)*(a + 1)**3/3 Factor -633*j - 2003445/2 - 1/10*j**2. -(j + 3165)**2/10 Solve -16/3*m**3 - 106/9*m**2 + 2/9*m**4 + 16/3*m + 104/9 = 0 for m. -2, -1, 1, 26 Suppose -6*r**3 - 39*r - 35616 - 3*r**4 - 207*r + 111*r**2 + 35760 = 0. Calculate r. -8, 1, 2, 3 Let y be -26 + 3 - -9 - (-5 + 3) - -15. Factor 0 - 8/9*m - 2/3*m**2 + 2/9*m**y. 2*m*(m - 4)*(m + 1)/9 Let c(d) be the second derivative of -1/10*d**6 - 3/2*d**4 - 3/4*d**5 + 22 + 0*d**3 + 0*d**2 + d. Let c(f) = 0. Calculate f. -3, -2, 0 Let p(h) be the third derivative of 0 + 0*h**3 - 1/3*h**4 + 1/30*h**5 + 0*h + 13*h**2. Let p(d) = 0. Calculate d. 0, 4 Let k(d) be the first derivative of -d**4/16 + 9*d**3/8 - 27*d**2/4 - 42*d + 89. Let i(o) be the first derivative of k(o). Factor i(t). -3*(t - 6)*(t - 3)/4 Let j(w) be the second derivative of -17*w**7/189 + 25*w**6/27 - 331*w**5/90 + 391*w**4/54 - 68*w**3/9 + 4*w**2 + 3*w - 404. Suppose j(v) = 0. Calculate v. 6/17, 1, 2, 3 Let h(w) be the second derivative of -w**4/6 - 26*w**3/3 - 48*w**2 - 5097*w. Factor h(c). -2*(c + 2)*(c + 24) Let d = 19516 + -78063/4. Suppose -d*r**2 + 0 - 9/4*r = 0. What is r? -9, 0 Let z(y) be the second derivative of -841*y**7/189 + 87*y**6/5 - 67*y**5/3 + 173*y**4/27 + 49*y**3/9 + y**2 + 1104*y. Let z(j) = 0. Calculate j. -3/29, 1 Let g be 4 + -10 + 30/3. Factor -10*m**4 + 3*m**2 + 19*m**g - m**2 + 5*m**3 + m**5 - 5*m**4. m**2*(m + 1)**2*(m + 2) Suppose -4*h = -40, 3368*r + 5*h - 38 = 3371*r. Factor -24/5*d + 4/5*d**r + 32/5*d**2 - 36/5 + 24/5*d**3. 4*(d - 1)*(d + 1)*(d + 3)**2/5 Suppose 4*p = 4*w, -5*p - 6*w = -w. Suppose p = 4*k - 11 - 1. Factor -9*q - 6 - 7*q**3 - 10*q**2 + q**k - 5*q + 4*q**3. -2*(q + 1)**2*(q + 3) Let l(r) be the second derivative of -r**5/150 - 11*r**4/30 - 46*r**3/9 - 1897*r + 2. Factor l(o). -2*o*(o + 10)*(o + 23)/15 Suppose 8*p + 0*p - 24 = 0. Find y such that 6*y**3 + y**5 - p*y**5 + 4*y**4 - 8*y**4 = 0. -3, 0, 1 Factor 1/4*v**3 - 226*v**2 - 203401/2 + 205205/4*v. (v - 451)**2*(v - 2)/4 Let x(h) be the third derivative of -h**6/720 + h**5/8 + 31*h**4/48 + 47*h**3/36 + 2*h**2 - 812*h. Factor x(b). -(b - 47)*(b + 1)**2/6 Factor -952/3 - 36*l + 4/3*l**2. 4*(l - 34)*(l + 7)/3 Let y = -635 + 227. Let w be (-221)/y - 5/(-40). Suppose -8*m + 2/3*m**4 - 16/3*m**2 + 0 + w*m**3 = 0. Calculate m. -2, 0, 3 Let o(q) be the second derivative of -q**5/40 - 45*q**4/4 + 181*q**3/4 - 68*q**2 + 792*q. Solve o(a) = 0. -272, 1 Suppose 502/15*n + 0 - 2/15*n**2 = 0. Calculate n. 0, 251 Let b = 740 + -7387/10. Let a(q) be the first derivative of b*q**2 + 2 + 4/5*q + 1/5*q**3. Factor a(z). (z + 4)*(3*z + 1)/5 Let r = 66 - 21. Factor 2 - 35*t**2 + 55*t**3 - 1744*t + r*t**4 + 1689*t - 12. 5*(t - 1)*(t + 1)**2*(9*t + 2) Let t(c) = -c**2 - 10*c + 147. Let x be t(-18). Find h such that -90 + 24*h + x*h**4 + 42 + 13*h**3 - 37*h**3 + 45*h**2 = 0. -1, 1, 4 Let q(o) be the second derivative of -3*o**5/100 + 341*o**4/20 + 2510*o. Solve q(w) = 0 for w. 0, 341 Let h(z) be the third derivative of 169*z**7/6300 - 13*z**6/50 + 27*z**5/25 + 17*z**4/24 + 114*z**2. Let v(l) be the second derivative of h(l). Factor v
{ "pile_set_name": "DM Mathematics" }
What is the third root of 79924 to the nearest integer? 43 What is 44466 to the power of 1/6, to the nearest integer? 6 What is the square root of 1652751 to the nearest integer? 1286 What is 23977292 to the power of 1/2, to the nearest integer? 4897 What is the square root of 8083874 to the nearest integer? 2843 What is 748382 to the power of 1/3, to the nearest integer? 91 What is the third root of 3229952 to the nearest integer? 148 What is 9534751 to the power of 1/3, to the nearest integer? 212 What is 204369 to the power of 1/2, to the nearest integer? 452 What is the cube root of 1850316 to the nearest integer? 123 What is the ninth root of 79709 to the nearest integer? 4 What is the cube root of 8417 to the nearest integer? 20 What is 2323739 to the power of 1/9, to the nearest integer? 5 What is 1988619 to the power of 1/3, to the nearest integer? 126 What is the square root of 1290721 to the nearest integer? 1136 What is the eighth root of 298697 to the nearest integer? 5 What is 32011 to the power of 1/3, to the nearest integer? 32 What is 412684 to the power of 1/2, to the nearest integer? 642 What is the fifth root of 1969606 to the nearest integer? 18 What is 5169027 to the power of 1/2, to the nearest integer? 2274 What is 4531321 to the power of 1/2, to the nearest integer? 2129 What is 22333849 to the power of 1/9, to the nearest integer? 7 What is 1271227 to the power of 1/3, to the nearest integer? 108 What is 276124 to the power of 1/2, to the nearest integer? 525 What is 91003 to the power of 1/2, to the nearest integer? 302 What is the square root of 598367 to the nearest integer? 774 What is 1111630 to the power of 1/10, to the nearest integer? 4 What is the third root of 5492689 to the nearest integer? 176 What is the ninth root of 5054698 to the nearest integer? 6 What is the eighth root of 3419920 to the nearest integer? 7 What is 1184852 to the power of 1/9, to the nearest integer? 5 What is the cube root of 227906 to the nearest integer? 61 What is 658497 to the power of 1/3, to the nearest integer? 87 What is the tenth root of 139054 to the nearest integer? 3 What is 599466 to the power of 1/9, to the nearest integer? 4 What is 25689148 to the power of 1/2, to the nearest integer? 5068 What is the square root of 1678926 to the nearest integer? 1296 What is the fifth root of 18235 to the nearest integer? 7 What is the square root of 200153 to the nearest integer? 447 What is the square root of 2101100 to the nearest integer? 1450 What is 160580 to the power of 1/3, to the nearest integer? 54 What is 10869551 to the power of 1/10, to the nearest integer? 5 What is the fourth root of 4639992 to the nearest integer? 46 What is the seventh root of 9236844 to the nearest integer? 10 What is the cube root of 8083893 to the nearest integer? 201 What is the seventh root of 675605 to the nearest integer? 7 What is the square root of 19025716 to the nearest integer? 4362 What is 147934 to the power of 1/5, to the nearest integer? 11 What is the cube root of 567615 to the nearest integer? 83 What is 4567212 to the power of 1/3, to the nearest integer? 166 What is the cube root of 21626196 to the nearest integer? 279 What is the square root of 718386 to the nearest integer? 848 What is 145719 to the power of 1/2, to the nearest integer? 382 What is the seventh root of 5648838 to the nearest integer? 9 What is the square root of 43152389 to the nearest integer? 6569 What is 871570 to the power of 1/4, to the nearest integer? 31 What is the square root of 1495923 to the nearest integer? 1223 What is the square root of 295200 to the nearest integer? 543 What is the third root of 3633701 to the nearest integer? 154 What is 501462 to the power of 1/7, to the nearest integer? 7 What is 1121228 to the power of 1/3, to the nearest integer? 104 What is 2981347 to the power of 1/6, to the nearest integer? 12 What is the square root of 58258 to the nearest integer? 241 What is 52078 to the power of 1/10, to the nearest integer? 3 What is the third root of 12902533 to the nearest integer? 235 What is 10361696 to the power of 1/2, to the nearest integer? 3219 What is 4851438 to the power of 1/6, to the nearest integer? 13 What is the square root of 3869596 to the nearest integer? 1967 What is 10625620 to the power of 1/2, to the nearest integer? 3260 What is 9249379 to the power of 1/6, to the nearest integer? 14 What is 3711688 to the power of 1/5, to the nearest integer? 21 What is 3526213 to the power of 1/6, to the nearest integer? 12 What is 181309 to the power of 1/10, to the nearest integer? 3 What is the fourth root of 1924726 to the nearest integer? 37 What is 153387 to the power of 1/3, to the nearest integer? 54 What is 4392622 to the power of 1/3, to the nearest integer? 164 What is 36564455 to the power of 1/2, to the nearest integer? 6047 What is the third root of 202029 to the nearest integer? 59 What is the tenth root of 6584521 to the nearest integer? 5 What is 2517072 to the power of 1/3, to the nearest integer? 136 What is the fifth root of 91015 to the nearest integer? 10 What is 4698731 to the power of 1/3, to the nearest integer? 167 What is 520722 to the power of 1/2, to the nearest integer? 722 What is the seventh root of 1461380 to the nearest integer? 8 What is the seventh root of 484830 to the nearest integer? 6 What is the cube root of 257359 to the nearest integer? 64 What is 148228 to the power of 1/3, to the nearest integer? 53 What is the third root of 616038 to the nearest integer? 85 What is the fourth root of 18466777 to the nearest integer? 66 What is 545582 to the power of 1/2, to the nearest integer? 739 What is the fourth root of 277382 to the nearest integer? 23 What is 797968 to the power of 1/10, to the nearest integer? 4 What is the ninth root of 28998 to the nearest integer? 3 What is the sixth root of 258643 to the nearest integer? 8 What is the square root of 4373297 to the nearest integer? 2091 What is the third root of 5906483 to the nearest integer? 181 What is 9858361 to the power of 1/5, to the nearest integer? 25 What is 90163 to the power of 1/4, to the nearest integer? 17 What is the eighth root of 1078685 to the nearest integer? 6 What is 274424 to the power of 1/2, to the nearest integer? 524 What is 2581455 to the power of 1/2, to the nearest integer? 1607 What is 19562951 to the power of 1/3, to the nearest integer? 269 What is 5157481 to the power of 1/2, to the nearest integer? 2271 What is 3945943 to the power of 1/2, to the nearest integer? 1986 What is 3253725 to the power of 1/3, to the nearest integer? 148 What is the square root of 688461 to the nearest integer? 830 What is the square root of 7744387 to the nearest integer? 2783 What is the third root of 2428768 to the nearest integer? 134 What is the cube root of 3868631 to the nearest integer? 157 What is the third root of 4180567 to the nearest integer? 161 What is 170218 to the power of 1/2, to the nearest integer? 413 What is 72705 to the power of 1/10, to the nearest integer? 3 What is the third root of 2849039 to the nearest integer? 142 What is the cube root of 1367228 to the nearest integer? 111 What is 2353657 to the power of 1/5, to the nearest integer? 19 What is 609243 to the power of 1/5, to the nearest integer? 14 What is the cube root of 6054 to the nearest integer? 18 What is the third root of 346335 to the nearest integer? 70 What is 3666521 to the power of 1/2, to the nearest integer? 1915 What is 38562289 to the power of 1/6, to the nearest integer? 18 What is the square root of 12054084 to the nearest integer? 3472 What is 3694562 to the power of 1/6, to the nearest integer? 12 What is the eighth root of 2725976 to the nearest integer? 6 What is the ninth root of 206231 to the nearest integer? 4 What is the ninth root of 425648 to the nearest integer? 4 What is 739498 to the power of 1/5, to the nearest integer? 15 What is 852982 to the power of 1/3, to the nearest integer? 95 What is 5076961 to the power of 1/4, to the nearest integer? 47 What is 521306 to the power of 1/8, to the nearest integer? 5 What is 6638 to the power of 1/2, to the nearest integer? 81 What is the ninth root of 211676 to the
{ "pile_set_name": "DM Mathematics" }
4, -109, -116, -141, -190? -b**3 + 12*b - 125 What is the x'th term of 49, 53, 57, 61, 65? 4*x + 45 What is the q'th term of 28, 24, -8, -68, -156, -272? -14*q**2 + 38*q + 4 What is the z'th term of 144, 120, 96, 72, 48, 24? -24*z + 168 What is the g'th term of -24, -113, -262, -471, -740? -30*g**2 + g + 5 What is the m'th term of 18, 0, -30, -78, -150? -m**3 - 11*m + 30 What is the b'th term of 96, 110, 148, 222, 344, 526? 2*b**3 + 94 What is the n'th term of -10119, -10120, -10121? -n - 10118 What is the f'th term of 522, 1043, 1564, 2085, 2606, 3127? 521*f + 1 What is the o'th term of 74, 185, 308, 449, 614, 809? o**3 + 104*o - 31 What is the q'th term of 65, 61, 57? -4*q + 69 What is the h'th term of -67, -94, -121, -148? -27*h - 40 What is the v'th term of -69, -82, -107, -150, -217, -314, -447, -622? -v**3 - 6*v - 62 What is the o'th term of -23521, -23520, -23519? o - 23522 What is the c'th term of -549, -1084, -1597, -2076, -2509, -2884, -3189? 2*c**3 - c**2 - 546*c - 4 What is the d'th term of -585, -601, -621, -639, -649, -645, -621, -571? d**3 - 8*d**2 + d - 579 What is the b'th term of 3, 36, 69, 102, 135? 33*b - 30 What is the h'th term of 35772, 35771, 35770, 35769, 35768, 35767? -h + 35773 What is the n'th term of -219, -202, -177, -144, -103, -54? 4*n**2 + 5*n - 228 What is the u'th term of 797, 799, 801? 2*u + 795 What is the o'th term of 70, 55, 40, 25? -15*o + 85 What is the g'th term of 2, -12, -42, -94, -174, -288, -442, -642? -g**3 - 2*g**2 - g + 6 What is the k'th term of 1864, 3726, 5588, 7450, 9312, 11174? 1862*k + 2 What is the c'th term of -87, -90, -93, -96, -99? -3*c - 84 What is the f'th term of -16, -46, -94, -160, -244, -346, -466? -9*f**2 - 3*f - 4 What is the l'th term of -12, -24, -36? -12*l What is the n'th term of 19, 35, 67, 121, 203? n**3 + 2*n**2 + 3*n + 13 What is the r'th term of -127, -109, -73, -13, 77, 203, 371? r**3 + 3*r**2 + 2*r - 133 What is the n'th term of 34, 83, 152, 241, 350? 10*n**2 + 19*n + 5 What is the q'th term of 771, 1544, 2317, 3090? 773*q - 2 What is the d'th term of 19, 30, 55, 100, 171, 274, 415? d**3 + d**2 + d + 16 What is the u'th term of -269, -1100, -2485, -4424, -6917? -277*u**2 + 8 What is the a'th term of 170, 164, 158, 152, 146? -6*a + 176 What is the x'th term of -5, -179, -469, -875, -1397, -2035? -58*x**2 + 53 What is the t'th term of 40, 68, 114, 178, 260, 360? 9*t**2 + t + 30 What is the k'th term of 108, 256, 400, 540, 676, 808, 936? -2*k**2 + 154*k - 44 What is the i'th term of 1920, 1901, 1872, 1827, 1760, 1665, 1536, 1367? -i**3 + i**2 - 15*i + 1935 What is the h'th term of 21, 148, 373, 690, 1093? -h**3 + 55*h**2 - 31*h - 2 What is the b'th term of 1674, 1676, 1678, 1680, 1682? 2*b + 1672 What is the s'th term of -15, -56, -125, -222, -347? -14*s**2 + s - 2 What is the f'th term of 70, 139, 208? 69*f + 1 What is the z'th term of 314, 627, 940, 1253? 313*z + 1 What is the b'th term of -2578, -5155, -7732? -2577*b - 1 What is the p'th term of 2445, 2450, 2455, 2460, 2465? 5*p + 2440 What is the w'th term of 875, 873, 871, 869, 867? -2*w + 877 What is the s'th term of 1811, 1810, 1817, 1838, 1879, 1946, 2045? s**3 - 2*s**2 - 2*s + 1814 What is the w'th term of 6391, 6391, 6381, 6355, 6307? -w**3 + w**2 + 4*w + 6387 What is the g'th term of 257, 519, 781, 1043, 1305, 1567? 262*g - 5 What is the q'th term of -53, -43, -23, 13, 71? q**3 - q**2 + 6*q - 59 What is the r'th term of -40, -51, -50, -31, 12, 85, 194? r**3 - 18*r - 23 What is the f'th term of 5, -3, -25, -67, -135, -235, -373? -f**3 - f**2 + 2*f + 5 What is the z'th term of 62, 202, 444, 794, 1258, 1842, 2552, 3394? z**3 + 45*z**2 - 2*z + 18 What is the u'th term of -42, -185, -422, -753? -47*u**2 - 2*u + 7 What is the w'th term of -1276, -1284, -1292? -8*w - 1268 What is the c'th term of -195, -190, -181, -168? 2*c**2 - c - 196 What is the t'th term of -524, -511, -488, -455, -412, -359? 5*t**2 - 2*t - 527 What is the j'th term of 3341, 6678, 10015, 13352? 3337*j + 4 What is the j'th term of -351, -346, -341, -336, -331? 5*j - 356 What is the r'th term of -87, -85, -73, -45, 5, 83, 195? r**3 - r**2 - 2*r - 85 What is the q'th term of 1849, 1847, 1831, 1795, 1733, 1639, 1507, 1331? -q**3 - q**2 + 8*q + 1843 What is the g'th term of 453, 455, 459, 465, 473, 483? g**2 - g + 453 What is the c'th term of 82, 143, 176, 169, 110? -2*c**3 - 2*c**2 + 81*c + 5 What is the d'th term of -65, -119, -185, -269, -377, -515, -689, -905? -d**3 - 47*d - 17 What is the m'th term of 419, 809, 1199? 390*m + 29 What is the h'th term of 33, 42, 63, 102, 165, 258, 387? h**3 + 2*h + 30 What is the f'th term of 23, 22, 31, 56, 103? f**3 - f**2 - 5*f + 28 What is the x'th term of 438, 426, 424, 438, 474, 538? x**3 - x**2 - 16*x + 454 What is the f'th term of 213, 220, 241, 282, 349, 448, 585, 766? f**3 + f**2 - 3*f + 214 What is the m'th term of -1538, -3081, -4626, -6173, -7722, -9273? -m**2 - 1540*m + 3 What is the y'th term of 29, 4, -49, -136, -263, -436? -y**3 - 8*y**2 + 6*y + 32 What is the d'th term of -58, -57, -56, -55? d - 59 What is the u'th term of -28417, -28419, -28421? -2*u - 28415 What is the u'th term of -1083, -1035, -961, -867, -759, -643? -u**3 + 19*u**2 - 2*u - 1099 What is the q'th term of -9, -16, -29, -48? -3*q**2 + 2*q - 8 What is the v'th term of -16, -13, 8, 59, 152, 299, 512? 2*v**3 - 3*v**2 - 2*v - 13 What is the u'th term of 162, 652, 1468, 2610? 163*u**2 + u - 2 What is the n'th term of -15, -48, -139, -318, -615, -1060? -5*n**3 + n**2 - n - 10 What is the v'th term of -152, -1241, -4204, -9977, -19496? -156*v**3 - v**2 + 6*v - 1 What is the t'th term of -399, -383, -357, -321? 5*t**2 + t - 405 What is the t'th term of -76, -78, -80, -82, -84, -86? -2*t - 74 What is the z'th term of -180, -176, -170, -162, -152, -140? z**2 + z - 182 What is the d'th term of -156, -311, -468, -627, -788, -951? -d**2 - 152*d - 3 What is the p'th term of 428, 436, 446, 458, 472? p**2 + 5*p + 422 What is the l'th term of 122, 256, 392, 530, 670, 812, 956? l**2 + 131*l - 10 What is the b'th term of 24, 28, 32, 36, 40? 4*b + 20 What is the x'th term of 43, 79, 113, 145, 175, 203, 229? -x**2 + 39*x + 5 What is the p'th term of 30, 8, -16, -42, -70, -100, -132? -p**2 - 19*p + 50 What is the w'th term of 5998, 11988, 17980, 23974, 29970? w**2 + 5987*w + 10 What is the k'th term of 38, 131, 280, 485, 746? 28*k**2 + 9*k + 1 What is the t'th term of -241, -221, -201? 20*t - 261 What is the y'th term of -40, -60, -80, -100, -120? -20*y - 20 What is the f'th term of -36, -133, -300, -543, -868, -1281, -1788, -2395? -f**3 - 29*f**2 - 3*f - 3 What is the p'th term of -27204, -27203, -27202, -27201, -27200, -27199? p - 27205 What is the s'th term of 659, 714, 781, 866, 975, 1114, 1289, 1506? s**3 + 48*s + 610 What is the q'th term of -232, -489, -756, -1039, -1344, -1677, -2044? -q**3 + q**2 - 253*q + 21 What is the r'th term of 10, 5, -8, -35, -82, -155, -260, -403? -r**3 + 2*r**2 - 4*r + 13 What is the t'th term of 3, 11, 23, 39, 59? 2*t**2 + 2*t - 1 What is the h'th term of 55, 45, 29, 1, -45, -115, -215, -351? -h**3 + 3*h**2 - 12*h + 65 What is the n'th term of -406, -1487, -3294, -5833, -9110, -13131, -17902? -n**3 - 357*n**2 - 3*n - 45 What is the i'th term of -115, -228, -339, -448, -555, -660? i**2 - 116*i What is the d'th term of -191, -384, -577, -770, -963? -193*d + 2 What is the l'th term of 50, 37, 12, -31, -98? -l**3 - 6*l + 57 What is the j'th term of 79, 86, 97, 112, 131? 2*j**2 + j + 76 What is the m'th term of -280, -550, -816, -1078, -1336, -1590? 2*m**2 - 276*m - 6 What is the d'th term of 0, -25, -80, -177, -328, -545, -840? -2*d**3 - 3*d**2 - 2*d + 7 What is the y'th term of -349, -317, -247, -121, 79, 371? 3*y**3 + y**2 + 8*y - 361 What is the k'th term of 1437, 1441, 1445? 4*k + 1433 What is the c'th term of -44, -135, -282, -497, -792, -1179, -1670? -2*c**3 - 16*c**2 - 29*c + 3 What is the z'th term of 169, 180, 201, 232, 273, 324, 385? 5*z**2 - 4*z + 168 What is the g'th term of -294, -515, -758, -1035, -1358? -2*g**3 + g**2 - 210*g - 83 What is the h'th term of 169, 235, 297, 355, 409? -2*h**2 + 72*h + 99 What is the c'th term of -305, -384, -465, -548, -633? -c**2 - 76*c - 228 What is the i'th term of -
{ "pile_set_name": "DM Mathematics" }
20 + 12. Let v(z) = 5*z**2 - 7. Let t(b) = -b**2 + 1. Let c(y) = d*v(y) - 14*t(y). Let a(w) = 3*w. Determine c(a(s)). 36*s**2 Let g(y) = 66*y - 6*y - 100*y - 297*y. Let j(k) = 2*k. Give g(j(b)). -674*b Let x = 21 - 29. Let r be (-221)/(-68) - (-2)/x. Let d(a) = -3*a + 5*a - r*a. Let p(i) = -7*i**2. Calculate d(p(n)). 7*n**2 Let f(o) = 2*o**2. Let l(v) = 6*v**2 + v + 14. What is l(f(j))? 24*j**4 + 2*j**2 + 14 Let v(h) = h. Let g(q) = 85*q**2 + 10*q - 10. Let y(j) = 2*j**2 + j - 1. Let s(m) = g(m) - 10*y(m). Give v(s(r)). 65*r**2 Let m(h) = -h. Let j(d) = -2219*d**2. Calculate m(j(f)). 2219*f**2 Let g(b) = 12*b**2. Let j(f) = 581*f**2 - 2*f. Determine j(g(w)). 83664*w**4 - 24*w**2 Let q(k) = -3*k**2. Let b(v) = -148758 + 148758 + 2*v**2. Give b(q(o)). 18*o**4 Let j(f) = f. Let o(g) = 4*g**2 + 191*g + 6. Calculate j(o(m)). 4*m**2 + 191*m + 6 Let v(a) = a**2 + 2*a + 2. Let h(l) = -6*l**2 - 16*l - 16. Let y(m) = h(m) + 8*v(m). Let d(i) = 144*i. What is d(y(c))? 288*c**2 Let p(m) = -2 + 3*m**2 + 2 + 27*m**2. Let z(g) = 3*g**2 + 2*g - 2. Let b(j) = 7*j**2 + 5*j - 5. Let o(f) = -2*b(f) + 5*z(f). What is p(o(v))? 30*v**4 Let s(q) = q**3 - q**2 - 13*q + 5. Let g be s(4). Let y(w) = -9*w - 4. Let l(x) = 2*x + 1. Let a(d) = g*y(d) + 4*l(d). Let t(h) = h. Determine a(t(c)). -c Let x(g) be the third derivative of g**5/30 - 10857*g**2. Let w(q) = -6*q**2 - q**2 - 3*q**2. Determine x(w(j)). 200*j**4 Let r(h) = -50*h. Let d(x) = 2145*x - 6. What is r(d(q))? -107250*q + 300 Let v(u) = 6*u. Let f(t) = 3*t - 17. Let m(r) = -2*r + 7. Let c(g) = -4*f(g) - 9*m(g). Give v(c(o)). 36*o + 30 Let u(p) = 7*p**2. Let q(a) = -108058*a. Give q(u(x)). -756406*x**2 Suppose 2*i - 2*b + b = 21, 0 = 5*i + 4*b - 59. Let u(f) = -64 - i*f**2 + 64. Let d(s) = s**2. Give u(d(r)). -11*r**4 Let z(g) = -10*g. Let t(a) = 18381*a - 2. Give t(z(h)). -183810*h - 2 Let v(l) = -9*l**2 + 2*l - 4. Let i(x) = 440*x**2 - 99*x + 198. Let f(t) = 2*i(t) + 99*v(t). Let j(a) = 0*a - 3*a + a. Calculate f(j(u)). -44*u**2 Let d(l) = -l + 2*l - 5*l. Let u(j) = -j - 20. Let n(y) = y + 15. Let v(s) = -4*n(s) - 3*u(s). Determine d(v(x)). 4*x Let s(q) = -14*q**2. Let g(j) = 2*j**2 + 846. What is g(s(f))? 392*f**4 + 846 Let s(y) = 2*y**2. Let u(w) = -193*w - 23. What is s(u(f))? 74498*f**2 + 17756*f + 1058 Let k(y) = 5*y. Let o(j) = -1664*j**2. Determine o(k(m)). -41600*m**2 Let z(i) = -13*i**2. Let a(x) = 8*x**2 + 7*x - 6. Determine a(z(l)). 1352*l**4 - 91*l**2 - 6 Let g(d) = 3*d. Let k(m) = -42*m**2 - 16*m + 8*m + 91*m**2 + 5*m. Determine g(k(u)). 147*u**2 - 9*u Let i(d) = 2*d. Let b(a) = 162*a + 2 - 137*a + 2. What is i(b(l))? 50*l + 8 Let d(l) = 4*l. Let r(x) be the second derivative of -19*x**7/2520 - x**4/3 + 13*x - 2. Let p(k) be the third derivative of r(k). Give p(d(t)). -304*t**2 Let p(l) = 3*l. Let z(c) = -195893*c. Give p(z(h)). -587679*h Let y(w) be the first derivative of 3*w**2/2 - 127. Let d(i) = 2*i. Determine y(d(t)). 6*t Let p(q) = 13*q**2 + 40886*q - 40886*q. Let h(y) = y. Give p(h(w)). 13*w**2 Let c(y) = 2*y**2 - 2*y + 1. Let m(j) = -10*j**2 + 9*j - 4. Let v(g) = -9*c(g) - 2*m(g). Let d(s) = 4*s. What is d(v(u))? 8*u**2 - 4 Let q(g) be the second derivative of -11*g**4/3 - 143*g. Let m(h) = 2*h. Give q(m(b)). -176*b**2 Let n(b) = 3*b**2 - 21*b. Let j(m) = -2*m**2 - 6. Let x(c) = 2*c**2 + 5. Let q(a) = -5*j(a) - 6*x(a). Determine n(q(t)). 12*t**4 + 42*t**2 Let s(q) = -131*q. Let k(c) = -3*c**2 + 424*c. Calculate s(k(z)). 393*z**2 - 55544*z Let z(s) be the first derivative of 2*s**3/3 - 63*s + 225. Let i(n) = -2*n. Calculate z(i(x)). 8*x**2 - 63 Let a(s) be the first derivative of -711*s**2/2 + 480. Let m(c) = -c. Give m(a(v)). 711*v Let f(r) be the second derivative of r**4/12 - 4*r + 16. Let v(y) = 55*y**2. What is v(f(k))? 55*k**4 Let p(i) = -3*i**2 - 133*i - 6. Let s(t) = 9*t**2. Give p(s(c)). -243*c**4 - 1197*c**2 - 6 Let r(y) = 30*y. Let l(i) be the third derivative of i**5/15 - i**4/12 + 12*i**2. Let w(u) = -5*u**2 + 3*u. Let s(h) = 3*l(h) + 2*w(h). Calculate s(r(q)). 1800*q**2 Let g(b) = b + 8. Let q(a) = -119*a + 21. Let t(s) = 6*s - 1. Let m(c) = -q(c) - 21*t(c). Give g(m(p)). -7*p + 8 Let p(m) = -m**2. Let s(j) = -2*j. Let r(g) = -3 + 3 - 466*g + 460*g. Let u(n) = -2*r(n) + 5*s(n). Determine u(p(f)). -2*f**2 Let h(x) = -6*x**2 + 4. Let q(d) = d - 717 + 717. Determine h(q(r)). -6*r**2 + 4 Let k(h) = h**2 + 3*h - 58. Let l(t) = 15*t. Determine k(l(q)). 225*q**2 + 45*q - 58 Let m(i) be the third derivative of -i**5/30 - 193*i**2. Let v(p) be the third derivative of 2*p**4/3 + p**2. Determine v(m(u)). -32*u**2 Let n(a) = -3*a**2 + 5*a + 1. Let g(b) = -b**2 + b - 1. Let j(z) = -5*g(z) + n(z). Let p(o) = 4*o. What is p(j(u))? 8*u**2 + 24 Let h(x) = 3*x + 20. Let p(i) = -2*i - 114. Give h(p(r)). -6*r - 322 Let q(a) = 99 - 40 - 3*a**2 - 59. Let d(i) = i**2 - 404*i. What is d(q(g))? 9*g**4 + 1212*g**2 Let j(r) = r. Suppose -4*v = 8, 6*o - 3*o = -4*v + 4. Let m(h) = 19*h**2 - 4*h + o*h - 12*h**2. Give m(j(d)). 7*d**2 Let z(p) be the third derivative of 0 - 1/8*p**4 + 0*p + 0*p**3 - 11*p**2. Let u(o) = -5*o**2. Calculate u(z(t)). -45*t**2 Let s(a) = 264*a**2 + 260*a**2 + 269*a**2 - 791*a**2. Let q(w) = 85*w**2. What is q(s(m))? 340*m**4 Let b(a) = 13*a**2 - 3. Let f(l) = -l**2 + 1. Let u be (-5)/2 + 4/8. Let r(w) = 1. Let i(p) = u*r(p) + 2*f(p). What is i(b(v))? -338*v**4 + 156*v**2 - 18 Let x(o) = -2*o**2 - 6*o - 10. Let q(f) = 2*f. What is q(x(s))? -4*s**2 - 12*s - 20 Let v(x) = 3*x**2 + 466 - 466. Let p(f) be the third derivative of 5*f**4/24 - 5*f**2. Calculate p(v(c)). 15*c**2 Let q(u) = -22*u**2 + 5. Let b(j) = -j**2 - 1. Let c(r) = 5*b(r) + q(r). Let h(f) be the third derivative of f**5/60 - 108*f**2. Give h(c(p)). 729*p**4 Let f(u) = 5964*u. Let t(k) = 175*k. Give t(f(d)). 1043700*d Let l(d) = -7*d. Let z(o) = -206*o**2. What is l(z(y))? 1442*y**2 Let r(f) = -14*f**2. Let u(w) = 2*w + 31. Let c be u(0). Let h(v) = -31 + c + v. Determine r(h(n)). -14*n**2 Let w(y) be the first derivative of 0*y - 7 + 3/2*y**2. Let u(f) = -7 + 7 + 3*f. What is u(w(o))? 9*o Let w(z) = z. Let f(l) = -139372*l. Calculate f(w(s)). -139372*s Let l(z) = 7*z - 6. Let b(u) = 12*u - 10. Let v(c) = -3*b(c) + 5*l(c). Let r(a) = -184*a**2. What is r(v(w))? -184*w**2 Let m(r) = r. Let q(n) = -2577*n**2. Calculate m(q(z)). -2577*z**2 Let x(z) = -2*z**2. Suppose 9*d - 39 = -3. Let p(g) = 0*g + d*g + 6*g + 0*g. What is p(x(y))? -20*y**2 Let m(h) = -13520*h**2. Let r(z) = -4*z. What is m(r(w))? -216320*w**2 Let q(b) = -2*b. Let d(x) = -313*x + 1 + 1 + 274*x. What is q(d(t))? 78*t - 4 Let s(c) be the second derivative of -17*c**4/3 + 175*c. Let b(i) = -3*i. Determine b(s(q)). 204*q**2 Let q(s) be the first derivative of 2*s**2 + 13*s + 234. Let p(w) = -6*w. Give q(p(n)). -24*n + 13 Let g(u) = -5*u**2 + 5*u - 5. Let w(c) = 2*c**2 - 3*c + 3. Let z(l) = -3*g(l) - 5*w(l). Let d(n) = 627 - 4*n**2 - 627. Determine z(d(x)). 80*x**4 Suppose 5*b + l = 8, l = 3*b + 5*l + 2. Let a(x) = -2*x**2 - 4*x**b + 3*x**2. Let f(k) = -k. Give f(a(d)). 3*d**2 Suppose 7*n - 84 = n. Let q be 0*(4 - n/4). Let y(s) = s - s - s + q. Let b(o) = -o**2. Give y(b(k)). k**2 Let g(a) = -6*a**2. Let k = -46 - -65. Let d(i) = i + k*i - 20*i - i**2. Give g(d(p)). -6*p**4 Let o(p) = 3*p + 4. Let y(d) = 2*d**2 - 297. Give y(o(g)). 18*g**2 + 48*g - 265 Let q(b) = -6*b**2. Let m(o) be the second derivative of 0 + 0*o**2 - 5/3*o**3 + 18*o. What is m(q(i))? 60*i**2 Let j(k) = 10*k**2. Suppose 0 = 5*o - 2*d - 20, 4*d - 6 = -o - 24. Let n(h) = 886*h - h**o - 886*h. Calculate j(n(z)). 10*z**4 Let v(t) be the second derivative of -t**3/6 - 2*t - 27. Let j(n) = 227*n**2. Give v(j(m)). -227*m**2 Let v(c) = c**2. Let a(g) = 7*g**2. Suppose -1 = -t - 0*t. Let w(s) = t*a(s) - 14*v(s). Let q(x) = 13*x + 22*x - 33*x. What is q(w(l))? -14*l**2 Let d(r) = -7*r. Let t(u) = -4194*u**2. Calculate t(d(j)). -205506*j**2 Let b(a) = -5*a. Let p(w) = -2*w**2 - 2*w + 2. Let d(y) = -y**2 + y - 1. Let n(l) = -2*d(l) - p(l). Give b(n(v)). -20*v**2 Let o(d) = -42*d - 47*d + 93*d. Let p(l) be the second derivative of l**3/6 + 10*l. Calculate p(o(n)). 4*n Let l(x) = 2*x. Let g(d) = -23*d**2 - 28*d**2 - 48*d**2 + 14*d**2. Determine l(g(h)). -170*h**2 Let u(w) = -53*w. Let r(x) = -1554*x
{ "pile_set_name": "DM Mathematics" }
r = -0*y - 14, -786*r = -4*y - 785*r - 2 for y. -1 Solve 68*s - 73*s = -6*l - 75, 0 = -2*l + 6 + 4 for s. 21 Solve 4*o - 3*f + 18 = 0, -4*o - 22 + 12 = f for o. -3 Solve 75 = -4*s - 4*k + 87, 7*k - 14 = 0 for s. 1 Solve 0 = -5*v + 5*i + 25, -430 = -2*v + 4*i - 416 for v. 3 Solve -638*i + 635*i - 23 = -4*o, 2*o - 10 = 2*i for o. 8 Solve 9905*i + 4*b + 22 = 9903*i, 2*i - 3*b = -1 for i. -5 Solve -68 - 22 = -5*k, 2*k = -3*c + 30 for c. -2 Solve -2*w = w - 5*o - 4, 2*o = 5*w + 6 for w. -2 Solve 2*h + 5*t + 6173 - 6115 = 0, -26 = -h + 3*t for h. -4 Solve 0 = -3*r - 21*s + 11*s + 37, -5*s + 16 = 4*r for r. -1 Solve 0 = -5*d - 2*q - 21, q = 4*d + 218 - 196 for d. -5 Solve -2*n + 5*v = -29, -51*v + 47*v = 4*n + 12 for n. 2 Solve 2410*t - 2406*t - 4*z = -76, 2*t - 4*z + 48 = 0 for t. -14 Solve 4*g + 3*w + 16 = -9, -3485 = 3*w - 3476 for g. -4 Solve -20 = 4*d - 2*p, -2*p + 41 = -21*d - 64 for d. -5 Solve 4*w + 18*i + 34 = 0, 750*i - 5 = 751*i for w. 14 Solve -c = -5*k - 40, 546*c - 2*k = 549*c + 33 for c. -5 Solve 3*p + 8*f - 121 = -205, 4*f - 3*f + 12 = 0 for p. 4 Solve -344*h = -2*y - 341*h - 16, 4*y + 2*h + 32 = 0 for y. -8 Solve -j - 2*h = -3, -119*j + 4*h + 29 = -114*j for j. 5 Solve -4*j - 12 = 4*k, -2*j - 7 = 3*k - 2 for k. 1 Solve -4*y + 16 = -7*a - 19, -3*a = -4*y + 31 for a. -1 Solve 2394*l + 20 = 3*m + 2399*l, -l = -1 for m. 5 Solve 2*g = -5*z - 46 + 53, g = z for z. 1 Solve -3*n = -780*b + 781*b - 17, -176 = -24*n + 2*b for n. 7 Solve 0 = c + 5, 0 = b - 0*c + 6*c - c + 23 for b. 2 Solve v - 2 = -32*l + 31*l, 16 = -4*l + 2*v for l. -2 Solve -5*a - 10 = 5*h, 272*h - 2 = -3*a + 277*h for a. -1 Solve h = -x + 3*x + 6, -5*h = -x + 6 for x. -4 Solve 3*d = 3*c + 12, 0 = 4*c - 16*d + 21*d - 29 for c. 1 Solve -g + 2*q = 4, 5*q + 40 - 56 = g for g. 4 Solve -4*c + 17 = -23928*o + 23929*o, 2*c - 2*o = 6 for c. 4 Solve k + 621*u = 625*u - 70, 2*k + 50 = 3*u for k. 2 Solve 82*v - 80*v - 3*x + 36 = 0, 60 = -3*v + 5*x for v. 0 Solve -3*b + 11 = -f, -5*b + 28*f = 32*f - 41 for b. 5 Solve -2*l + 16 = -2*z, -1037*l + 5*z = -1042*l for l. 4 Solve 0 = 5*l - 5*z - 35, 34*z + 24 + 136 = -5*l for l. 2 Solve 0 = 3*d + 2*n + 376 - 382, -5*n + 4 = 2*d for d. 2 Solve 4*s - 4 = 4*j, -170*j = 8*s - 166*j - 8 for s. 1 Solve 2*i + 15 = -15, 4*v - 141 + 106 = i for v. 5 Solve 0 = -10*v + 2*l + 230, -3*v = -6*v - 5*l + 97 for v. 24 Solve 33*a - 31*a + 4 = -6*h, -2*h + 5*a = -27 for h. 1 Solve -7*a + 4*y = -130, -a - y = -95 + 78 for a. 18 Solve 0 = -4*h + 3*d - 2 + 32, 3*h = -2*d + 14 for h. 6 Solve 17065*w - 17063*w - 3*i + 5 = 0, 4 = w + 5*i for w. -1 Solve 185 = -30*w - 5*x, -2*w - 26*x = -25*x + 13 for w. -6 Solve -4*t - 2*j + 32 = 0, 2*t - 2*j - 1944 = -1940 for t. 6 Solve -7864*k + 4*u = -7859*k + 4, -5*k - 2*u + 2 = 0 for k. 0 Solve 3*b + 3*a + 33 = 0, b + 3*a - 76 = -87 for b. -11 Solve -5*b + 18 = 3*u - b, -u + 4*b - 10 = 0 for u. 2 Solve 0 = -5*z + 5*b + 35, 2343*b - 28 = z + 2347*b for z. 0 Solve -1 = 4*d + 3*j, -6 = -d + 4*j - 11 for d. -1 Solve b + 424*c - 5 = 423*c, -5*b + 5*c - 15 = 0 for b. 1 Solve -462*u = -3*f - 458*u - 17, 5*f - u = 0 for f. 1 Solve -h = 197*w - 198*w - 22, h = 2*h - 3 for w. -19 Solve -12*m + 8*m - c = -3, 0 = -2*m + c - 3 for m. 0 Solve 4*n - 154 = -5*l - 137, 0 = 5*n + 5*l - 20 for n. 3 Solve -3*q = 3*s + 27, -3*s - 33*q + 1 = -37*q for s. -5 Solve 2*c + 3*c + 25 = 0, -3*q + 47*c - 49*c + 17 = 0 for q. 9 Solve c + 3*l + 5 = 0, 117*c - 25 = 115*c + l for c. 10 Solve -3*r = 6522*a - 6527*a + 29, a = 4*r + 33 for r. -8 Solve 2*t = 18*g - 10, 5*g + 0*g + 7 = 3*t for t. 4 Solve -5*r - s = 19, 1 + 27 = -2*r + 3*s for r. -5 Solve 0 = -h - 5*p - 19, -99*h + 80 = -3*p - 31 for h. 1 Solve 4*s = -2*o - 14, 0 = -2*s - 136*o + 140*o + 18 for s. -1 Solve -4*q = -3*z - 22, 4*z + 209*q - 12 = 204*q for z. -2 Solve -2*d = x - 15, 5*x + 311*d - 309*d = 11 for x. -1 Solve -11*b - 11*b = -24*b + 2*q, -q = -5*b - 12 for b. -3 Solve -3*v = y - 1723 + 1712, 9 = -5*y + v for y. -1 Solve 5*j = 4*s - 13, 467*s - 472*s + 5*j + 10 = -5 for s. 2 Solve -c - c + 24 = -4*g, 297*c = 50*g + 294*c + 256 for g. -5 Solve -9*q = -5*q + 3*j + 23, 0 = -10*q + 3*j - 5 for q. -2 Solve 4*v - 637*k + 634*k + 3 = 0, 0 = 5*v + 5*k + 30 for v. -3 Solve 7*y = 0, -5*v + 2*v + 10*y = -5*v + 5*y - 4 for v. -2 Solve -4*o = -b - 2*o + 1, o + 8 = -b for b. -5 Solve 2*b = 14*s - 112, 3*s + 43*b - 24 = 47*b for s. 8 Solve -5*p = -3*c - 10, -460*c + 455*c + 45 = 4*p for c. 5 Solve -22 = -5*n + d, -37*n + 36*n = d - 8 for n. 5 Solve -279 + 256 = -4*o + 3*a, 6 = 2*o + 4*a for o. 5 Solve 0 = 4*z - 6*u + 3*u - 13, -3 = -256*z - 4*u + 241 for z. 1 Solve 0 = -8*j + 3*j - u - 31, 0 = 5*j + 2*u + 32 for j. -6 Solve b - 61*u + 118*u + 7 = 61*u, 4*u = -8 for b. -15 Solve -5*m = -x + 94 - 110, -4*x - 4*m + 32 = 0 for x. 4 Solve -2*s + 19 = 3*j, -781*j + 777*j = -4*s + 8 for s. 5 Solve 0 = -r - 2*h - 9, 80*r + 17 = 75*r + 4*h for r. -5 Solve 3*b - 4*i - 5 = 0, 99 - 101 = i for b. -1 Solve 7 = -4*w + 3*s, 5*w + 26*s - 28*s = 0 for w. 2 Solve 3*q + 9212*z + 5 = 9211*z, 0 = q + 3*z + 7 for q. -1 Solve 4*v = r, -4*v = -r + v - 2265 + 1130 + 1134 for r. 4 Solve 2*v = 5*a - 2, 0 = 11*a - 9*a + 3*v + 3 for a. 0 Solve -3*l + 4*y + 2 = 0, 2*y = l + 60 - 62 for l. -2 Solve 2*m + 6*j = 11*j + 18, -m - 5*j - 21 = 0 for m. -1 Solve 3*g = 9*l + 6, -4 = 37*g - 39*g - l for g. 2 Solve -4*i + 9*b = 14*b + 13, 3*i + 4 = 2*b for i. -2 Solve 0 = -4*d - z - 31, -4*z - 12864 + 12784 = 5*d for d. -4 Solve -4*t + 5*i + 45 = 0, t + 2167 - 2178 = i for t. 10 Solve -3*g - 232*u + 109 = -230*u, -7*g + 3*u = -285 for g. 39 Solve -g = -2*u - 9, -35*g + 12 = 866*u - 865*u - 30*g for u. -3 Solve -518 = 3*q - 2*g - 480, 0 = -q - 4*g - 8 for q. -12 Solve 3*m - 10 = 5*x, -3*x = m + 7 - 1 for m. 0 Solve -3*q - q - 4*k + 48 = 0, 6*q + 5 = k for q. 1 Solve 20 = -5*i + 5, -5*j + 9 = 3*i + 3 for j. 3 Solve 175*r - 180*r = -4*d + 63, r + 13 = d for r. -11 Solve -6*o = 5*p - 3*p - 40, o + 4*p - 47 = 0 for o. 3 Solve -58*j - 4*p - 50 = -56*j, 0 = p + 12 for j. -1 Solve -3*t - 17 = 2*y, 12422*y - 12422*y = -5*t - 25 for y. -1 Solve -5*v - 18*k = -18, 0 = -10*v + 13*v - 4*k + 4 for v. 0 Solve 209*o + 4 = 2*f + 213*o, 4*f + 2*o - 2 = 0 for f. 0 Solve -f + 3*s + 1332 - 1310 = 0, 0 = 5*f + 4*s + 4 for f. 4 Solve 3*o - b = -0*b - 3, 0 = 5*b + 41 - 11 for o. -3 Solve 2317 = -2*x - 5*f + 2297, 0 = 4*x - 2*f + 64 for x. -15 Solve 5*q = 13*f + 38 + 34, 6*f + f - 8*f = q for f. -4 Solve -38 = 4*n - 2*g - 26, 5*n + 15 = -2*g for n. -3 Solve -8*u + 195 - 167 = -2*y, -49 = u + 26*y for u. 3 Solve 0 = -5*j - 5*z - 2 - 33, -2*j + 2*z - 171 = -173 for j. -3 Solve 2*w + 11 = y, y + 117 - 110 = -4*w for y. 5 Solve 5*c = b + 15, 11*c - 80 = 2*b - 7*b - 11 for c. 4 Solve 0 = 5*i - 547*p + 548*p - 42, 2*p = 4 for i. 8 Solve -204*f - 56 = -211*f, 0 = -h + 2*h - f + 13 for h. -5 Solve 3*s + 28*m - 30*m + 2 = 0, m = s + 2 for s. 2 Solve 5*f - 4*h + 16 = 0, -5*f + 113*h = -30*h + 572 for f. 0 Solve -2*o + 121*f - 122*f - 11 = 0, -2*o - 12 = 2*f for o. -5 Solve 4*h - s = -12, 61 = 4*s - 2*s + 37 for h. 0 Solve 0 = -17*a + 12*a + 2*s - 59, 4*s = -2*a + 58 for a. -5 Solve -5*t = -4*o + 44, 5*o - 8*t = -3*t + 45 for o. 1 Solve -2*l + 2*a = 16, 428*l - 5*a - 216 = 455*l for l. -8 Solve -4*p - 116 = 4*d - 80, -3 = -d + 2*p for d. -5 Solve -5*p = -z - 5, -1263*z = -5*p - 1259*z - 10 for p. 2 Solve t + 4*y = 0, -695*t + 690*t + y = 0 for t. 0 Solve 3376*b = 3380*b + 3*f - 80, 2*f = -b + 20 for b. 20 Solve -5*x = -4*y + 26, 9227*y - 11 = 9232*y + x for y. -1 Solve 7*t - 53 = -4*p, 114*p = -2*t + 117*p - 18 for t. 3 Solve 105*f - 54*f = 55*f + 2*u, -3*u - 6 = 0 for f. 1 Solve 3*w - 13*w + 42 = -4*s - 178, 4*s + w = 0 for s. -5 Solve -3*r + 1 = -2*s, -212*r = -216*r + 4*s + 8 for r. -3 Solve -3*w + 2*d = -53, 2*w = -440*d + 434*d + 28 for w. 17 Solve -28 = 4*h - f - 35, 3*h = 6*f - 21 for h. 3 Solve -253115*x = -253114*x - 5*j - 1, 5 = 5*x - j for x. 1 Solve 40*u + 3*i + 3 = 44*u, u = -5*i - 28 for u. -3 Solve 3*f - 5*u = 41, -5*f - 54*u = -49*u + 25 for f. 2 Solve -240*x + i + 16 = -245*x, -5*i = 3*x + 14 for x. -3 Solve 0 = -z - m + 49 - 52, 6*m - 7 = -z for z. -5 Solve -p = -5*n - 1415 + 1380, -2*n = 3*p - 3 for p. 5 Solve -2*w + 1 = 3*s, 0 = 5*w + 4*s - 7 - 6 for w. 5 Solve
{ "pile_set_name": "DM Mathematics" }
/(-6). Let o = 6725/777 + s. Calculate the common denominator of o and -34/7. 21 Suppose a + q = 4*q + 21, -5*q - 55 = -5*a. Calculate the lowest common multiple of 7 and a. 42 Let s = -2 + 4. Suppose 0 = -u - h, -4*u + s*u - 2 = 3*h. Suppose -16 = -u*f - 2*f. What is the lowest common multiple of f and 22? 44 Let j be ((-566)/6)/(4/36). Let u be j/2*11/3. Let y = u - -1586. Find the common denominator of 87/10 and y. 10 Suppose -5 = -2*b + 5. Suppose -10*f + 180 = -b*f. Calculate the smallest common multiple of f and 6. 36 Suppose -3*z + g - 5*g = -13, g - 16 = -5*z. What is the least common multiple of 7 and z? 21 Let r be (0 + 1)*8/4. Suppose 3*k + 3 = -3*u, -3*u = 2*k + r*k. Calculate the lowest common multiple of u/6*3 + 9 and 8. 56 Let c(m) = m**3 + 5*m**2 - 8*m - 9. Let h = -9 - -9. Suppose -5*j - 2*f + 9 = h, f + 5 = -j + 4*f. What is the lowest common multiple of c(-6) and j? 3 Calculate the least common multiple of 18 and 20/6*((-84)/5)/(-2). 252 Let x be -6 + 5 + 121*1. Find the common denominator of -61/18 and -3 - 39/x*-2. 180 What is the smallest common multiple of 3 and -3 + -9*(16/(-6))/4? 3 Let d(t) = -2*t**2 - 10*t - 8. Let k = -23 - -16. Let c be d(k). Find the common denominator of 0/(-2) - (-76)/c and 28/5. 45 Let q = -22/629 - -70435/17612. What is the common denominator of -3/44 and q? 308 Let n = 73/19 + 689/152. Find the common denominator of n and 2/(-4)*4/3. 24 Let n = -1164454829/18 - -64673262. Suppose 9608 + 27750 = 2*h. Let f = n + h. Find the common denominator of f and 53/8. 72 Suppose 2*d = 2*q - 66, 16 = -5*q + 3*d + 189. Suppose 0*y - 40 = 5*y. Calculate the common denominator of (-154)/(-24) - 2/y and q. 3 Let u = -49983/2 - -24507. Let c = u + 517. Find the common denominator of c and 47/8. 8 Let p(f) = 7*f**2 - 1. Let q be ((-4)/(-6))/((-8)/(-48)). Let a(n) = 2*n - 5. Calculate the lowest common multiple of p(1) and a(q). 6 Suppose 5*c - 2*p - 5 = -5*p, -4*c - 5*p = 9. Calculate the common denominator of 49 and c/14 + (-88)/(-35). 5 Suppose 3*a + 4*c - 2*c = 0, -3*c = -5*a + 19. Suppose 0 = 6*i - 4 - 8. What is the least common multiple of i and a? 2 Let o(y) be the third derivative of -y**5/60 + 7*y**4/24 - 5*y**3/6 + 3*y**2. Calculate the least common multiple of 7 and o(5). 35 Let p = 2421/20 + -121. Let c = 9 - 39. Calculate the common denominator of p and (-3)/12 + 57/c. 20 Let i = 12/127 - -6453/254. Let g(q) = 5*q - 20. Let a be g(10). Find the common denominator of (-28)/3*a/(-110) and i. 22 Let c be (-28)/(1/(-2) - -1). Calculate the common denominator of (-481)/c + (-8)/(-28) and 71/16 - (-1 + 0). 16 Let x = -10 - -12. Calculate the least common multiple of 4 and x. 4 What is the common denominator of -131/6 and (9/3)/(-1) - 287/(-196)? 84 Find the common denominator of 186/32 - 12/8 and -85/2. 16 Let a be (-2)/8*2*0. Suppose a = -p - 4*t + 6, -2*p + 0 = 4*t - 8. Calculate the least common multiple of -1 + 0 - (-22 - -1) and p. 20 Let r = 206/27 - 1375/54. Calculate the common denominator of -47/22 and r. 66 Suppose 3*p - 123 = -2*j, -2*p = 3*j - 2*j - 62. Suppose c - 32 = -3*c. Calculate the smallest common multiple of c and ((-2)/6)/((-4)/j). 40 Let m(k) = 23*k**2 + k - 2. Let w be m(-3). Find the common denominator of 1/(-12)*1*w and 2 + -1 - (-23)/14. 42 Let v = -2/1407 - 26689/30954. What is the common denominator of v and 19/22? 22 Suppose -3 = -2*x - 1. Let q be -32938*3/(-72) - x. Let s = q + -1384. What is the common denominator of s and -89/2? 12 What is the least common multiple of 8*(-6)/(-120) + 28/5 and 8? 24 Suppose 5*a = -4*r + 36, -6*a = -5*r - a. Suppose -2*k - 4*n + 3*n = -6, -5*k + 21 = n. What is the least common multiple of k and r? 20 Let j = -669 - -8035/12. Calculate the common denominator of 1/6 and j. 12 Let z = -6 - -14. Find the common denominator of 81/10 and 1 + 3*76/z. 10 Calculate the smallest common multiple of ((-20)/30)/((-2)/48) and 10. 80 Let p(l) = -l**3 + 7*l**2 - 10*l. What is the smallest common multiple of p(4) and 24? 24 Let u = 41055/22 + -1867. Calculate the common denominator of u and 109/10. 110 Calculate the common denominator of 1*63/(-6)*15/(-10) and (-2)/(-7) + 426/28. 4 Suppose 4*j + j = 30. What is the lowest common multiple of 8 and (j/(-2))/(9/(-24))? 8 Let k = -47903/12 + 3988. What is the common denominator of k and -35/12? 12 Let y be 3/(-9) + (-16)/(-3). Let v(j) = 3*j - 3. Let c(l) = 2*l - 8. What is the lowest common multiple of c(7) and v(y)? 12 Let x be 2/(1 + (-23)/25). Let h = -16 + x. What is the lowest common multiple of 10 and h? 90 Calculate the common denominator of -1 + (-286)/40 + 83/332 and (42/20)/(36/10). 60 Find the common denominator of 63/4 and (-1)/5 - 452/(-40). 20 Suppose 0 = 2*c + 1 - 7. Let a be (4 - c/1) + -1. Suppose a = 4*s - 5*s + 6. What is the lowest common multiple of s and 18? 18 Let p(j) = 31*j**3 + j**2 + 2*j + 1. Calculate the common denominator of -91/32 and p(-1). 32 Calculate the least common multiple of 6 and (-295)/(-25) - (-3)/15. 12 Let z(k) = -k + 7. Let r be z(17). Let s(l) = -4*l - 25. What is the lowest common multiple of 5 and s(r)? 15 Let y(x) = x**2 - 7*x - 3. Let c be y(6). Let v be ((-652)/10)/((-2)/10). Calculate the common denominator of 7/10 and v/24 + (-6)/c. 20 Let g = 851/2 - 456. Find the common denominator of g and ((-1)/18)/((-8)/708). 12 Let b(d) = d. Calculate the least common multiple of b(6) and 48/18*(-27)/(-4). 18 Let h = 38/125 - -9973/500. Find the common denominator of (-3)/(-9) + (-56)/(-30) and h. 20 Suppose 0 = -4*b - 120389 - 3315. Let y = b - -1484551/48. What is the common denominator of 39/2 and y? 48 Let w(j) = j**3 + 4*j**2 - 7*j - 4. Let o = -25 - -33. Calculate the lowest common multiple of w(-5) and o. 24 Let p = 2501 - 7222/3. Let t = p - 1013/12. What is the common denominator of t and -37/28? 28 Let z = 9/61 + 721/488. What is the common denominator of z and -9/4? 8 Let d be 2/(-7) + 3104/10570. Let c = 17329/4530 + d. Calculate the common denominator of 86/15 + 4/6 and c. 30 Find the common denominator of 4365/108*4/10 and 119/6. 6 Find the common denominator of 2*-1 + (-402)/(-42) and -29/10. 70 Calculate the least common multiple of 3/(-18)*-22 - 2/3 and (10/4 - -1)*2. 21 Let r be (-8)/28 - (-102)/14. Let i(b) = -b**2 + 8*b + 7. Let a(o) = o**3 + 6*o**2 + 4*o + 2. Calculate the least common multiple of i(r) and a(-2). 70 Let k = -7 + 9. Let l = -4 - k. Calculate the common denominator of -39/8 and ((-4)/l)/(16/(-462)). 8 Let y be 1 + (-1845)/(-84) - 0. Let v = 11/14 + y. Find the common denominator of 6/(-1 - 50/38) and v. 44 Let i = 2/9587 + -163007/134218. Calculate the common denominator of i and 57/52. 364 Let f be (-2)/(6/(-15)) - -1. Calculate the common denominator of -7/6 and f/8*(-484)/54. 18 Let n(x) = x**2 + 12*x - 14. Calculate the smallest common multiple of n(-14) and 32. 224 Let q = 7 - 10. Let h be (-13)/q + (-4)/(-6). Suppose -5*b = -h*z + 80, -5*z = 3*b + b - 62. Calculate the least common multiple of 20 and z. 140 Suppose -16 = -3*c - 4*s, -c - 20 = c - 5*s. Let i = c + 6. Calculate the smallest common multiple of i and (5*2/10)/(2/4). 6 Suppose 4*t + 17 = -o, t + 5*o + 10 = -4*t. Let n(h) = h**2 + 4*h + 1. Calculate the lowest common multiple of n(t) and 8. 24 Let p be (1 + -2)*0 - 8. Let d(l) = -l**2 - 9*l + 4. Calculate the smallest common multiple of d(p) and (-6)/5*(-20)/6. 12 Let g = -8 - 26. Find the common denominator of (0 + g/(-10))*1 and 89/8. 40 Suppose -137 = 2*h + 273. Let x = h + 393/2. Let o = 4/2007 + 54133/28098. Calculate the common denominator of x and o. 14 Let x = -277 + 1099/4. Find the common denominator of 69/8 and x. 8 What is the lowest common multiple of 3/(-3)*(6 - 28) and 22? 22 Let k be 2 - (0/2)/(-1). Suppose -k*w - 44 = -4*w. Calculate the smallest common multiple of 14 and w. 154 Calculate the smallest common multiple of 16 and (-1)/((-12)/(-14) + -1). 112 Let a = 412 - 160. Suppose a = 3*j - 21. Calculate the common denominator of -115/14 and -1 - -2 - j/12. 84 Let o = -132/25 + 99/50. Find the common denominator of 31/6 and o. 30 Let i be (-10)/(-84)*(-8)/470. Let c = -81917/1974 + i. What is the common denominator of c and 4/(-14) + (-118)/77? 22 Calculate the lowest common multiple of 14 an
{ "pile_set_name": "DM Mathematics" }
322 - (-6)/(-21). Suppose 4*x - 3*n - 132 = -329, 3*x = 4*n - 139. Let l = -52 - x. Are b and l equal? False Suppose -19*n + 302 = -18*n. Let z = 353 + -52. Is z < n? True Let m be -4 + (951120/12525)/16 + 8/(-10). Which is greater: -2 or m? m Let m = 162/469 + -1230673/1407. Let x = 106004675 + -23214832348/219. Let r = m + x. Is r <= -1? False Suppose 3341 = -27*s + 1235. Let q(y) = -y**2 + y + 2. Let g be q(-5). Let w be (2260/g - -3) + (-6)/21. Is s > w? False Let r = 18000 - 18001. Is r greater than or equal to 6/6185? False Suppose -11*k = 13*k + 2*k. Let o be ((-5)/((-10)/12))/((-92)/20). Which is smaller: k or o? o Let a = -56 + 58. Suppose 4*z + 12 + 7 = 5*c, a*c + z - 5 = 0. Is c >= 28? False Let k = -458 + 2172. Which is greater: 1713 or k? k Let y = -812 + 1139. Suppose -297 + y = 5*r. Which is greater: 2 or r? r Let r be (-212)/8 - 6/(-4). Let f be (-16 + 50/3)*75/(-2). Is f bigger than r? False Let y(h) = -h**3 + 28*h**2 - 54*h + 51. Let o be y(26). Let v(l) = -33*l**3 + 8*l + 7. Let p be v(o). Which is greater: 34 or p? 34 Let o = 20.918 - 0.218. Let q = o - 18.7. Is 2/5 smaller than q? True Let i(j) be the first derivative of 2*j**3/3 - j**2/2 + j - 5. Let m be i(1). Let o be (408/17)/(-2*1/m). Is o less than -24? False Let d be (24/18)/((-1)/21). Let p be (42*(-40)/(-30))/(1*-2). Let z = d - p. Is 1/11 less than z? False Let y be 1/(2/(-1) + -247). Let x be (-64)/(-112) - 3327/1743. Let q = y - x. Is q smaller than 0? False Suppose -19*x = -26*x + 21. Let b be (368/72)/(1 - x). Which is smaller: -4 or b? -4 Let n = 317 + -316. Suppose 65 = -z + n. Is -66 smaller than z? True Let m = 3.8629 + -3.89. Let l = m - -0.0321. Are l and -0.4 non-equal? True Let a = 102 - 117. Let z be (-35)/(-45) - a/(-3). Which is greater: z or -4? -4 Let i = 0.042 - -3.058. Let w = -5.5 - i. Let a = -8.5 - w. Are a and 0.31 nonequal? True Let t be 2/(4 - (-77)/(-66)). Let j(v) = 2*v**2 - 5*v**3 + 4*v**3 + 1 - 3*v**2 + 2*v**3. Let p be j(1). Is p <= t? False Let g = -78.4 + -8.6. Let t = -0.1099 + 75.1099. Let w = g + t. Which is bigger: w or 0.2? 0.2 Let k = -4477 - -192486/43. Let y = 791/473 + k. Let q = 61937 + -61937. Is q smaller than y? True Let o = 685 + -682. Which is smaller: 130/77 or o? 130/77 Let s(z) = 230*z + 2206. Let h be s(-11). Do h and -323 have the same value? False Suppose -10 = 65*s - 67*s. Suppose -3*d = 5*z + 519, s*d + 865 = -4*z + z. Is d at most as big as -174? False Let p(u) = -24*u**2 + 54*u + 218. Let z be p(13). Which is greater: z or -3139? z Let g = 382 + -250. Let w(f) = 2*f**2 - 4*f + 4. Let n be w(3). Suppose 2*p + n*p - g = 0. Which is bigger: 45/4 or p? 45/4 Suppose 0*j + 3*j = 0. Suppose j = 2*w + 93 - 149. Let r be (-9)/(-6)*w/6. Is r equal to 9? False Let v(b) = -11*b**2 - 273*b + 2221. Let y be v(8). Which is smaller: y or -673? -673 Let g be 0/(-225)*1/(-4). Is g greater than -17/996? True Let k(w) = w**2 - 6*w - 5. Let a be k(5). Let h(g) = 6*g**2 - 5*g - 11. Let u(f) = -f**2 + f + 1. Let s(v) = -h(v) - 5*u(v). Let z be s(-4). Are z and a equal? True Let i be (-6)/27 + (-110)/(-9). Let c be (-2)/(-4)*-1*-110. Suppose 2*z + m - c = 6*m, 25 = -5*m. Which is smaller: z or i? i Let s(j) be the second derivative of -2*j**3/3 + j**2 + 3*j + 2. Let r be s(4). Which is smaller: r or -20? -20 Let k be 4/7*56/(-16). Let p be -19 + k*3/2. Suppose -3*c - 144 = 3*c. Is p < c? False Let l(p) = -727*p - 3387. Let c be l(19). Which is bigger: c or -17199? -17199 Let l = -10447 - -10339. Which is smaller: -120 or l? -120 Let z be 18/(-2) + (-58695)/(-6405). Is 1.2 < z? False Let t = 0.5188 - -0.7812. Which is bigger: t or -2/267? t Let z = -1068 + 1193. Is z at least as big as 751/6? False Let y = -52405 - -52413. Let v = -5 + 8. Which is smaller: v or y? v Suppose 164*r - 165*r - 4*d - 5 = 0, 0 = -r + 3*d + 2. Does r = -3/614? False Suppose -2*x + 0*x - 5*o = -55, x - 2*o - 5 = 0. Let z be ((-2)/(-15))/(153/x). Suppose 506*f - 503*f + 27 = -3*j, 5*f + 3*j = -29. Is f less than z? True Let i = -826 - -1765. Is 939 less than or equal to i? True Let v = 161001/161 + -1000. Let j be (-1)/1*(103 + -103). Which is smaller: v or j? j Let h be (-387418)/174 - 6/9. Let i = 2227 + h. Suppose 2*m + 11 = 9. Is m at most as big as i? True Let k = 14596 - 68177911/4671. Does -1 = k? False Let w = -45 - -23. Let h = -0.88 - 58.12. Let l = h - -59. Is l > w? True Let p = 283.82 + -284.82. Does p = -1108/5? False Let d = 71634/13 - 5513. Is d equal to -4? False Suppose 4*c - 2*c = -114. Let u(g) = 16*g + 5. Let q be u(0). Suppose -3*b - 5*w - 13 = 146, -q*b - 302 = -4*w. Is b at least as big as c? False Suppose k + y - 44 = 0, -3*y - 233 + 29 = -5*k. Suppose k*h = 33*h. Which is smaller: -12/11 or h? -12/11 Let o = 6 + 2. Suppose -2*t - 6 + 2 = -5*w, -8 = -4*w. Suppose u = -4*y, o*u - 15 = -5*y + t*u. Which is greater: 1/21 or y? 1/21 Let v = 16710 + -16710. Which is greater: 4905 or v? 4905 Let q = -10635.11 - -10687. Let z = q - -0.11. Is -0.3 greater than z? False Suppose -5*j - 2 = 13. Let q = j - -2. Let k be ((-33)/9)/((-60)/(-36)). Which is smaller: q or k? k Let r be 4/(-14) - (6 + 450/(-7)). Let o = 2 + r. Let x = 151 + -91. Is o <= x? True Let y(b) = 12 + 60 - 3 - 8*b + 3. Let j be y(9). Which is smaller: j or -7/11? -7/11 Suppose 4*c - 3*c = 3*o, -3*o - 5*c = 0. Let k be -1 + 8 + o - (12 + -14). Let m be 0 + 3 - 370/(-60). Which is smaller: k or m? k Let v(n) = -204*n**2 + 27*n + 37. Let q be v(-3). Which is smaller: q or -1879? q Let k(u) = -2*u - 5. Let j(o) = -o**2 + 7. Let c be j(-3). Let f be k(c). Let b = 221/3 + -889/12. Is f at least as big as b? False Let p = 874437/3668886590 - -3/303565. Which is smaller: p or 1? p Suppose 3*l + 145 + 17 = 0. Let k be (l/144)/((-2)/16). Suppose -8*t - 24 = -9*t - 3*y, 0 = -k*t - 3*y + 60. Which is greater: 37/2 or t? 37/2 Let j = 5770 - 7321. Is j less than or equal to -1551? True Let r be (172 - 4)/4 - 49. Suppose 5*i = 2*z - 46, -3*i + 3*z = 43 - 10. Which is bigger: i or r? r Let l = 4.332 - 4.432. Which is bigger: 1001 or l? 1001 Let k be ((-9)/(3996/3318) - -8)*(-4)/10. Does 0 = k? False Let g be (-2)/3 - 24/(-9). Suppose 2*b - 6 = y, -3*y - b = g + 2. Let i(j) = j**2 - 2*j - 16. Let f be i(5). Is f < y? False Suppose -4*c - 15 + 3 = 0. Suppose -5*a = -4*z, -6*z + 3*a = -7*z. Suppose -4*x + 5*s - 28 = 7*s, -x + 4*s - 7 = z. Is x >= c? False Suppose 0 = -17*t - 84 + 67. Let c be (-118)/266 + (-6)/(-21). Which is bigger: c or t? c Suppose 0 = -126*a - 2440 - 8396. Is a >= -932/11? False Let a = 52 - 45.3. Let v = a + -6.7. Are -117 and v equal? False Let o(w) = -w + 61. Let m be o(13). Let t = m + 29. Which is smaller: 78 or t? t Let m be (12/5595)/(31/1860). Is -1 greater than m? False Let g be ((-11)/(-33))/((-2)/(-1074)). Let b = g + -169. Is b < 12? True Suppose -2*f + 3*f = 3. Let z(t) = 123*t + 3076. Let x be z(-25). Suppose f*p + 13 = -4*a, 2*a - 3*a - x = 0. Is -3/2 > p? True Let s be (-8 + 2)/(-2)*(-1631)/(-147) - 6. Which is smaller: 26 or s? 26 Let v be (12/(-5))/((-75)/1250*-2295). Is -1 greater than or equal to v? False Suppose -5*m + 2*q + 47 = 0, -3*m + 21 + 5 = q. Suppose c + 13 + 6 = -5*h, -3*h - m = c. Suppose -d = -c*d. Which is smaller: d or 3? d Let u be ((-9900)/1815)/(3/(-22)). Let o = 3 + 1. Let s be o/105*u/272. Is 0 less than or equal to s? True Let v = 44.26 + -46. Let k = -39.26 + v. Is 0.1 at most as big as k? False Suppose 13*j + 28*j = -82. Let c be 0/j + (280/(-9))/7. Which is greater: -3 or c? -3 Let r(p) = -13*p + 22. Let v be r(8). Let q = v + 116. Suppose 7*t = 9*t + q. Is t greater than -31/2? False Let q(i) = 625*i**2 - 20*i - 13. Let c be q(-2). Does c = 2527? True Suppose 0 = 2*m + 3*x - 9 - 17, m = -5*x + 6. Suppose 1639 = -m*b - 1753. Is b at least as big as -213? True Let k = -0.6638 - -0.0328. Let f = 0.852 + k. Which is greater: f or 2/5? 2/5 Let d = -307 - -311. Let k be 6 + -5 - 14/d. Let u be ((-1)/(-5))/(-1 + 0). Which is bigger: u or k? u Let p = 219.394 + -219. Let x = -0.406 - p. Is x greater than 4? False Let t(b) = -b**3 - 3*b**2 + 2*b + 1. Let n be t(-4). Suppose 8*h - 1218 = -1146. Let d = h - n. Which is bigger: d or -3/13? d Let r = -68.379 - -1.379. Which is smaller: r or -7? r Suppose 5*t - 2 = 4*i, 19*i - 22*i - 4 =
{ "pile_set_name": "DM Mathematics" }
divide c? True Let d(j) = -90*j - 32. Let v be d(-9). Suppose -250 + v = 4*o. Does 33 divide o? True Suppose -5180 = -10*q - 4*q. Is 37 a factor of q? True Suppose 3*d - d = -z + 135, d + 5*z - 90 = 0. Does 8 divide d? False Suppose j = -j. Suppose -5*i - 3*p + 319 + 1 = j, -2*i + 102 = -4*p. Let u = -21 + i. Is u a multiple of 11? False Let w(d) = d - 10. Let n be w(3). Let v = -13 - n. Is 4 a factor of v/(-4)*32/4? True Let z(x) = -2*x**2 + 21*x - 20. Let r be z(9). Suppose 9 = 2*u - 3. Suppose 20 = -u*g + r*g. Is g a multiple of 7? False Let g = -1698 - -6354. Is 24 a factor of g? True Suppose 784 = 361*t - 357*t. Is 49 a factor of t? True Suppose v = -2*v + 4*x - 20, 0 = -2*v - 4*x + 20. Suppose 5*a - 4*a + 3*h - 23 = v, -4*h = 0. Suppose 61 = 2*g + 7*k - 2*k, g - a = -4*k. Is 12 a factor of g? False Suppose -2*d = -5*b + 1562, -4*b - 4*d + 1247 = -3*d. Does 11 divide b? False Let j(h) = -h**2 - 9*h + 3. Let v be j(-3). Let k = 101 - v. Does 9 divide k? False Let f be 2 - (-2 + 2*2). Let a(y) = y**3 - 8*y**2 - 8*y - 7. Let b be a(9). Suppose -3*p + b*p + 18 = f. Is 14 a factor of p? False Suppose l - 6*l - 3*f = 72, -5*f = -5*l - 40. Let p be 9/l + 6/8. Suppose w - 4*w + 31 = 2*h, 4*h + w - 77 = p. Is h a multiple of 15? False Let v be (-14)/91 - 1172/(-13). Let l = 18 + v. Does 32 divide l? False Let w be (21/6 + 1)*2. Let h = w - -55. Is h a multiple of 32? True Let t(c) = 11*c + 7. Let p be t(-1). Is 11 a factor of 62/(-4)*(p + -2) - -3? False Let x(d) = -d**3 - 16*d**2 + 17*d + 6. Let q be x(-17). Suppose 0 = -3*v + q + 81. Suppose 3*k = 127 + v. Does 26 divide k? True Suppose 3 = 4*o - 1, -x - 8 = 2*o. Let v = x + 40. Is 116/10 - v/(-75) a multiple of 2? True Let p(z) = 3*z + 7. Let s be p(0). Suppose s*w - 4*w - 4*j = 514, 5*j = -3*w + 532. Is w a multiple of 50? False Suppose -2*r + 10 = 3*r - 5*o, -3*r - 5*o + 22 = 0. Suppose r*y - 2*b + 51 = 247, 2*b = 5*y - 245. Does 5 divide y? False Let h(v) = 7*v**3 - 3*v**2 + 10*v - 3. Let i(w) = 21*w**3 - 10*w**2 + 31*w - 9. Let n(p) = 7*h(p) - 2*i(p). Is n(2) a multiple of 15? False Let g(p) = 9*p**2 + 4*p + 11. Does 7 divide g(-7)? False Let v(k) be the first derivative of -k**3/3 + 6*k**2 + 7*k + 7. Does 6 divide v(9)? False Let k = 23 + -20. Suppose 4*i = -k*o + i + 36, 0 = 4*i. Does 14 divide (o + -3 + -1)*7? True Let w(y) = -y**3 - 10*y**2 - 7*y + 5. Let f be w(-9). Let l = -8 - f. Suppose -l*x - 2*z = -46, -x + 4*z - 6 = -2. Is x a multiple of 4? True Suppose -6*t + t = -210. Let r be ((-18)/4)/((-2)/16*6). Let l = r + t. Is 16 a factor of l? True Let a(x) = 13*x**2 + 2*x. Let w be a(4). Suppose -2*t = -w + 24. Is t a multiple of 8? True Suppose -i - 2*i = 4*k - 161, 5*k - 225 = i. Let u(h) = -9*h - 8. Let j be u(-9). Let o = j - k. Is 29 a factor of o? True Suppose 5*z - 2*c - 187 - 95 = 0, 2*z = 4*c + 100. Let t = z + -15. Is 8 a factor of t? False Suppose 3*t - 3626 = -j + 310, -5*t - 2*j + 6559 = 0. Is 13 a factor of t? True Let t(i) = -4*i + 37. Is 7 a factor of t(-13)? False Is -1 - (17014/(-18) - (-92)/414) a multiple of 50? False Suppose -2*q + g + 265 = 0, q + 3*g - 27 = 123. Suppose -3*u + 5*l + q = 2*u, 2*l - 90 = -4*u. Is 15 a factor of u? False Let y(s) be the second derivative of s**4/3 + s**2 - 14*s. Does 11 divide y(4)? True Let r(z) = 2*z**3 + z**2 - 3*z + 3. Let m be r(2). Let c = 27 + m. Suppose -3*a + c = a. Is a a multiple of 8? False Suppose 3*g - 2*g = -4*k + 6, 5*g + 4*k = 30. Let t = 13 - g. Is 2 a factor of t? False Let z = 290 - 232. Is 21 a factor of z? False Suppose -22*w + 19*w = -90. Is w a multiple of 6? True Let p(n) be the first derivative of n**6/120 + n**5/5 + n**4/3 + n**3 + 5*n**2/2 - 1. Let g(c) be the second derivative of p(c). Is g(-11) a multiple of 9? False Is (-641 + -6)/((3 - 4)*1) a multiple of 21? False Let q = -149 - -443. Is q a multiple of 16? False Let t = -1690 + 1924. Is t a multiple of 3? True Suppose -2*i + 828 = -774. Is 3 a factor of i? True Suppose -2*g + 5*x - 35 = 9, -x - 8 = g. Is g/18 + 8/(-3)*-49 a multiple of 31? False Let q(i) = 2*i**2 - 2*i + 9. Suppose -2*o = -0*o - 20. Suppose o*r = 13*r - 12. Does 11 divide q(r)? True Suppose 3*c + 167 = 689. Suppose c = 34*t - 31*t. Is 30 a factor of t? False Let j(x) = 36*x. Suppose h = -3*h + 16. Suppose v - h = -3*v. Does 12 divide j(v)? True Suppose -55 + 10 = -5*w. Let d = 21 + w. Is d a multiple of 6? True Suppose -3*b + 4*b - 60 = -r, 0 = -3*r. Suppose 0*p - 5*p = -b. Is p a multiple of 5? False Let n be (-14)/(-8) + 18/(-24). Suppose -4*k + 5*f = -22 + 3, 2*f = -5*k - n. Suppose 0 = -3*h - o + 14 - k, 0 = -2*o + 2. Is 2 a factor of h? True Let j(d) = -6*d + 21. Let y be j(2). Let o(q) = -q**3 + 8*q**2 + 15*q + 22. Is 38 a factor of o(y)? True Let v(u) be the first derivative of u**2/2 + 3*u + 2. Is 3 a factor of v(13)? False Suppose 3*h = 3*k - 825, 5*k - 1030 - 361 = h. Suppose u - 5*u = -2*j - 254, 4*u - k = -3*j. Is u a multiple of 11? True Let n = 72 - -112. Is 40 a factor of n? False Let z(u) = -u**2 - 7*u + 5. Let x be z(-8). Let n(h) be the second derivative of -31*h**3/6 + 11*h**2/2 - 6*h. Is 25 a factor of n(x)? False Suppose -4*y - 4*k + 1204 = 0, -4*k + 1505 = 5*y - 9*k. Does 7 divide y? True Suppose -3*b - 19 = -124. Does 10 divide (24/(-42))/((-2)/b)? True Suppose -5*l + 1010 = 5*d, -2*d - l + 410 = 4*l. Does 5 divide d? True Let w(v) = -2*v**2 - 17*v - 16. Let s be w(-7). Suppose s*f = -2*b + 163 + 147, -20 = -4*b. Is f a multiple of 4? True Is 41 a factor of (-4)/(-42) - 283175/(-987)? True Let r(j) = 8*j**2 + 5*j - 34. Is 3 a factor of r(4)? True Let f = 13 - 24. Let u be 1/((28/128)/7). Let k = u + f. Does 7 divide k? True Suppose -d + 38 = 4*q, 0 = -4*d + 5*q - q + 132. Let h be 3*d/3 - 1. Let v = h - 27. Does 3 divide v? True Suppose -5*w - k = -305, 5*w - 295 = -0*w + k. Let f = w - -72. Is 22 a factor of f? True Let q(v) = v**3 - 34*v**2 + 14*v - 13. Does 13 divide q(34)? False Let y = 24 - 18. Let w(u) = -u + 0*u**2 + 1 + u**2 - y - 6. Is w(8) a multiple of 15? True Is 9 a factor of (12/2)/((-1)/(-57) + 0)? True Suppose 0*o - 228 = 3*o. Let f = 128 + o. Does 13 divide f? True Suppose i = 17 - 12. Let w = -21 + i. Let c = 42 - w. Does 9 divide c? False Suppose -5*o + 760 = -3*o. Let i = o + -200. Is 15 a factor of i? True Let x be (-1)/(-3)*(6 + 0). Suppose 4*y = x*h + 12, 0*y - 4*h = -2*y + 6. Let f(c) = -c**3 + 5*c**2 - 2*c - 4. Does 8 divide f(y)? True Suppose 5*b - 1973 = -4*o, -o + 13 + 476 = -3*b. Suppose 3*u + q - o = 4*q, u - 2*q = 166. Suppose 0*z = -3*z + u. Is z a multiple of 22? False Let o be (0/2)/((-2)/(-2)). Let j(l) = o*l**2 - 7 + l**2 + 5 + l. Does 6 divide j(-5)? True Let l(h) = 3*h**2 - 9*h + 36. Does 4 divide l(-13)? True Let d(x) = x**3 + 7*x - 4. Does 11 divide d(4)? True Suppose 575*q - 578*q = 3*o - 9576, q - 6384 = -2*o. Is o a multiple of 38? True Suppose -f = 4*l - 208, 126 = 4*l - 2*l - 5*f. Suppose -l - 46 = -c. Is 33 a factor of c? True Let s(g) = g + 0*g + g - 115*g**3 - 13*g**3. Does 21 divide s(-1)? True Let s be (-173)/(-7) - 10/(-35). Suppose 2*p - s = -1. Let j = p + -6. Is j a multiple of 2? True Suppose -3*q + 1179 = 5*r - 694, 4*q = 2*r + 2532. Does 31 divide q? False Suppose 0 = d - 3*a - 41 + 9, -4*d + 4*a = -88. Does 13 divide (-78)/(-18)*(-2 + d)? True Suppose 5*x + 5*u = 2865, -7*x - u + 1725 = -4*x. Does 12 divide x? True Let b(x) = -3*x. Suppose -5*r = -4*s - 7, -1 = 3*s - r - 4. Suppose 22 = -s*t + 3*i - 2, -5*i - 10 = 5*t. Is b(t) a multiple of 9? True Suppose 125 = -5*c + 10*c. Let x = c - 20. Suppose -x*z + 84 + 56 = 0. Is 7 a factor of z? True Suppose 0 = -3*h + 2*h - 4. Let u be h/12 + 11/(-3). Is 15 a factor of 60/(u*1/(-4))? True Suppose -4*a = -3*j - 17 - 17, -a + 5*j = 0. Let z be 13/2 - (-5)/a. Suppose 8*b - 14 = z*b. Does 14 divide b? True Let w = 8 + -14. Let g = w + 8. Suppose 0 = -g*n + 25 + 101. Is 15 a factor of n? False Let k(g) = -g**3 - 9*g**2 - 3*g - 9. Let d(i) = 2*i**3 + 18*i**2 + 5*i + 17. Let w(t) = -2*d(t) - 5*k(t). Does 7 divide w(-8)? True Suppose 4*f - 4*g = 16, 17 = 2*f + f + 2*g. Suppose f*b = n - 0*b - 18, 20 = 3*n + 2*b. Is n a multiple of 3? False Let w = 43 - 41. Suppose w*z - 93 = 255. Does 34 divide z? False Let s = 9 + -9. Is (s/(-4) + 11)*10 a multiple of 40? Fals
{ "pile_set_name": "DM Mathematics" }
2))**(1/60)/((t*t/(t/(t*t/(((t**0/t)/t*t*t)/t))))/((t/(t**(-6)/t))/t*t)))**14 assuming t is positive. t**(679/12) Simplify ((p**(-17)/(p**(2/13)*p))**(-2))**(-28) assuming p is positive. p**(-13216/13) Simplify (h**(-4/5))**30*(h/(h/h**13)*h)**(-1/60) assuming h is positive. h**(-727/30) Simplify q/(q*q*q*q/q**(5/9)*q)*q*q**20*q*q*q*(q*q**(8/11)*q)/(q*q*q**31) assuming q is positive. q**(-962/99) Simplify ((f*f**(-3/2)/f*f/(f/(f*(f/(f*f**5))/f)*f))**20)**(-15/11) assuming f is positive. f**(2250/11) Simplify d*d**(-11)*d**(2/11)/d*(d/(d/(d*d*d**(-9))*d*d)*d*d)/(d*d**(1/2)) assuming d is positive. d**(-425/22) Simplify (p**(-11)/p*p**(-1/6))/(p**(-11)*p*p**10) assuming p is positive. p**(-73/6) Simplify (a*a/a**(-3/26)*a**11)/((a/(a*a*a*a*a/a**(-28)))/a**(-12/7)) assuming a is positive. a**(7899/182) Simplify z**(-1/8)*z**(-9/5)*z*(z*z**6)**(1/38) assuming z is positive. z**(-563/760) Simplify (m/(((m**3*m)/m)/m))**(-1/17)*(m/m**21)/(m/m**14) assuming m is positive. m**(-118/17) Simplify (q**(-3/8)/q)/(q/(q**7/q*q*q))*q/(q/(q*q**(1/5)))*q*(q*(q*q**(1/4))/q)/q assuming q is positive. q**(323/40) Simplify (n/n**(-18)*n*n**14)/(n**(-2/17)/n)**44 assuming n is positive. n**(1414/17) Simplify (o/(o/o**(-6/11))*o)**37/(((o/(o**19/o))/o)/(o/(o/(o/o**(5/4))))) assuming o is positive. o**(1521/44) Simplify (r/r**5*r**2)/(r**(2/11)*r**6) assuming r is positive. r**(-90/11) Simplify (a**3/(a**1/a)*(a/a**(-1/4))/(a**8/a))**(-9/4) assuming a is positive. a**(99/16) Simplify ((f*f/(f*f**(4/5)))/f**(-1/17))/(f/((f**19*f*f)/f*f)*((f*f**(2/21))/f*f*f)/f) assuming f is positive. f**(34207/1785) Simplify (q**1)**(-3/28)/(q**7)**2 assuming q is positive. q**(-395/28) Simplify ((h**(-1/3))**10/(h**(1/2)/h*h**(-2/5)))**(-6/13) assuming h is positive. h**(73/65) Simplify (h*h**(1/3)*h)**37*(h*h*h*h**(-1/2))/h*h**0 assuming h is positive. h**(527/6) Simplify n/(n**(-1)*n)*(n/(n/(n*((n*n**(2/35))/n)/n)))/n*n**(2/39)*n**11 assuming n is positive. n**(15163/1365) Simplify (t/(t/t**0))**(-9/4)*t**(-2/13)*t**(6/5) assuming t is positive. t**(68/65) Simplify (((v*v*(v*v**(1/7)*v*v)/v)/(v*v**(2/13)))**(-3/34))**30 assuming v is positive. v**(-720/91) Simplify (d*d*d/(d*(d/d**2)/d)*d)**(1/6)/(((d*d**(-1)*d*d)/d)/d**1) assuming d is positive. d**(5/6) Simplify (u**(-8))**(-7)/(u**3/(u/(u/(u*u**13)))) assuming u is positive. u**67 Simplify (p**11*p**11)/(p*p*p**(-2/3))**(2/47) assuming p is positive. p**(3094/141) Simplify ((p*p**0*p*p)**48/((p**3/p)/p**(-1)))**15 assuming p is positive. p**2115 Simplify ((f*((f*f/(f**(3/5)/f))/f)/f)/(f/(f/f**(-1/4))*f)*(f**(2/17)/f)/(f/f**3))**(-50) assuming f is positive. f**(-3005/34) Simplify g**22*g*g**(-16)*g**(-7/5)/(g/(g*g/(g/(g/((g*g**(3/4))/g)))*g)) assuming g is positive. g**(137/20) Simplify (q**13*q/(q/((q**(-1/28)/q)/q)))/(q**(1/18)*q*q**16*q) assuming q is positive. q**(-1787/252) Simplify (b**(-11)/((b**(-4)/b)/b*b))/((b/b**(-5)*b)/b)**(-6) assuming b is positive. b**30 Simplify d/(d/(d/(d*d**(-2/13)*d*d)))*d*((d*(d*d/(d**(1/2)/d))/d)/d)/d*((d*(d/d**(-15)*d)/d*d*d)/d*d)/d**(11/6) assuming d is positive. d**(656/39) Simplify s**(-4/7)*s*s/s**(-5)*s*s*s**(-5)*s**(-5/4) assuming s is positive. s**(61/28) Simplify ((f**(-16)/f)/f**(-2/17))**(4/11) assuming f is positive. f**(-1148/187) Simplify ((q**(-11)*q)/q*q*q*q**(1/5)*q*q)/(q**5*q**(-4)) assuming q is positive. q**(-39/5) Simplify g**(13/2)*g*g*(g*g**8/g*g)/g*((g**(1/7)*g)/g)**(-50) assuming g is positive. g**(131/14) Simplify (j*j/(j/(j/j**(-16)))*j)**(21/5)/(j/(j*j**30)*j/(j/((j/(j/(j*j/(j*(j**0/j)/j)))*j)/j))) assuming j is positive. j**(534/5) Simplify ((p*p/p**(3/16)*p)/p)/(p*p**(-5/2)*p)*(p/p**(-21))**(15/4) assuming p is positive. p**(1357/16) Simplify ((a*a/(a*a**0*a)*a)/a)/a**5*a**(2/15)*a**(-1/12)/a assuming a is positive. a**(-119/20) Simplify (h**(-13)*h*h**0/h)/(h/h**(-1/7))**36 assuming h is positive. h**(-379/7) Simplify w**16/w**(2/21)*(w/(w/(w**34/w)))/w**40 assuming w is positive. w**(187/21) Simplify (w/w**14)**(-32)/(w**(5/3))**50 assuming w is positive. w**(998/3) Simplify (o/(o*o**(-2/9)))/(o*o*o/(o/o**(-4/5)))*(o**(2/3))**(-30) assuming o is positive. o**(-944/45) Simplify ((a*a*(a**30/a)/a)/a**3)**21 assuming a is positive. a**567 Simplify (n*(n/n**7)/n)/((n/(n/(n**(1/6)/n)))/n)*(n**(-1/4)*n)**(-36) assuming n is positive. n**(-187/6) Simplify (t/t**(1/3)*t*t*t**(-14)*t)/(t**(2/3))**(-22) assuming t is positive. t**(13/3) Simplify ((u/(((u**19*u)/u*u)/u))/u*u*u**(-5/2)*u)**(-1/42) assuming u is positive. u**(13/28) Simplify ((n*n/(n/(n/n**(3/7)))*n*n**6*n)/(n**4*n/n**(-2/13)))**32 assuming n is positive. n**(12864/91) Simplify (((w/((w**(-9)*w)/w*w))/w**(1/2))/(w**(5/4)*w*w**(-1/6)))**20 assuming w is positive. w**(385/3) Simplify ((o/((o*o**(-9))/o*o)*o*o*o*(o*o*o/(o/(o**(-15)/o)*o)*o)/o*o)**28)**(6/25) assuming o is positive. o**(-336/25) Simplify ((f*f*f**(-18)/f*f)/f)/f**(-3/4)*(f**(-2/5)*f)/(f/f**(-3/5)) assuming f is positive. f**(-69/4) Simplify j**(2/9)*j/j**(2/17)*j*(j/((j**(2/17)*j)/j))**(37/2) assuming j is positive. j**(5639/306) Simplify (p*p/(p*p/p**(-2/5))*(p/(p**(-10)/p))/p)/((p/((p*p**4)/p))/(((p*p**(-5/3))/p)/p)) assuming p is positive. p**(164/15) Simplify ((o/(o*o*o**(-7))*o)/(o/o**13*o))/(o**4*o**(-12)) assuming o is positive. o**26 Simplify (l*l/(l/(l/(l/((l/(l/((l**(1/4)/l)/l)))/l)))))**(-34)/(l/(l*l**(-3)))**4 assuming l is positive. l**(95/2) Simplify ((g**(-1/3)*g/(g/((g*(g**(2/21)/g)/g*g)/g*g)))**(-1/16))**(3/8) assuming g is positive. g**(5/896) Simplify (c**(1/2))**(-1/8)/(c*c/(c*c**2))**17 assuming c is positive. c**(271/16) Simplify ((((x*(x*x*(x/x**(-28))/x)/x*x*x)/x)/x)/(x**29*x*x))**(-22) assuming x is positive. x**22 Simplify (((r**3/r)/(r/(r**(-1/5)/r)))/(r**(-5/2)/((r/(r/(r**(-1/4)*r)*r))/r)))**(-2/5) assuming r is positive. r**(-21/50) Simplify b**(1/47)*b**(-20)*(b*b*b*(b/b**(2/43))/b)**(-2/19) assuming b is positive. b**(-779101/38399) Simplify i/((i*i**(2/7))/i)*i/(i*i/i**(-2/17))*i**(-1/16)*(((i*i/(i/(i/i**(-24)*i*i)))/i)/i)/i assuming i is positive. i**(46713/1904) Simplify (((d*d*d**2)/(d/(d**(2/3)/d)))**(-38))**(-24) assuming d is positive. d**2432 Simplify l**(-5/6)*l/l**(2/11)*(l*l/(l/l**12))**(-4/35) assuming l is positive. l**(-3467/2310) Simplify ((s/s**(-2/3))**(15/7)/(s**(-4/5)/(s**(-4/3)/s*s)))**36 assuming s is positive. s**(3828/35) Simplify (m/(m**11/m)*m*(m**0*m)/m)/(m**(-8)*m*m*m**(-2/13)) assuming m is positive. m**(-24/13) Simplify (h**(-2/5))**12*(h**(2/27)*h*h)/(h**(-18)*h) assuming h is positive. h**(1927/135) Simplify g/g**24*g*g**(-24)*g/(g*(g/g**(-1))/g)*g*g*(g**(-20)*g)/g assuming g is positive. g**(-65) Simplify (((r/((r*(r/((r*r**4/r*r)/r))/r)/r))/r*r/r**3*r)/((r/(r**(7/5)*r))/r**2))**(-2) assuming r is positive. r**(-64/5) Simplify (s/s**(-4/5)*s/s**6)/(s**14*((s/s**(-1/3))/s)/s) assuming s is positive. s**(-248/15) Simplify (h**(-5/6)/h)**(-25)*(h/((h/(h*h*h**(-2/7))*h)/h))**(8/11) assuming h is positive. h**(21751/462) Simplify ((u/(u*u**(-9)*u)*u)/u**(-1/28))/(u**7)**(-4) assuming u is positive. u**(1037/28) Simplify (q**(-2/61)*q**(-5/7))**(-2/63) assuming q is positive. q**(638/26901) Simplify (g**(6/11)/g*g)/g*g*g**1*g*(g*((g/((g**3/g)/g))/g)/g)**24 assuming g is positive. g**(-236/11) Simplify ((m**(-1/5)/m)**(-2/39)/(m*m**(-4)*m/m**(7/3)*m*m))**(-17) assuming m is positive. m**(-7939/195) Simplify (((f*f/f**0)/f)/(((f/(f*f*f**(1/2)))/f)/f))**28 assuming f is positive. f**126 Simplify s/s**(-6)*s*s**0*(s/s**(3/10))/(s/((s*s*s/(s*(s*(s/(s*s**(3/2)*s*s))/s)/s)*s)/s)) assuming s is positive. s**(71/5) Simplify (t**(-3/5)*t**(7/5)/t*t*((t*((t**(1/3)*t)/t*t)/t*t)/t)**(32/3))**33 assuming t is positive. t**(7436/15) Simplify ((u**23*u*u)/u)/u**(-36/5)*u**(-36)*u*((u*u/u**(3/25))/u)/u assuming u is positive. u**(-98/25) Simplify ((z/z**(11/4))/z)/z*z*z*(z/z**(-2/13))/z*(z/z**(-1/5)*z)/z**(3/10) assuming z is positive. z**(79/260) Simplify (((m/(m/m**(-12)*m))/m)/(m/(m/(m/((m/m**(-6))/m)*m))))/(m**(1/4)*m**(-2/59)) assuming m is positive. m**(-2411/236) Simplify (((r*r*r**14*r)**(-2/11))**(-27))**(-23) assuming r is positive. r**(-21114/11) Simplify ((s/(s/(s*s*s**2/s*s)))**50/(s/s**(2/9)*s**(3/5)))**(3/14) assuming s is positive. s**(4469/105) Simplify (v**(1/2))**(-1/48)/(v**(1/1
{ "pile_set_name": "DM Mathematics" }
for z. -5 Solve 4*r = 2*k + 6, -11*k + 60 = 5*r + 12*k - 18*k for r. 5 Solve -7*d - 3*j + 65 = 0, 2*d + 2*j - 16 + 1 = -6 + 5 for d. 11 Solve -2*z - 5503*h = -5500*h - 31, h = -42*z + 589 for z. 14 Solve 135 = 4*w - 5*x, -5*x + 106 + 1334 = 41*w for w. 35 Solve 0 = -2*a + l + 15, 26*a + 0*l = 63*a - 60*a - 2*l - 138 for a. -4 Solve 2*a + 113 = -3*u, 677 = -3*u - a + 628 for u. 5 Solve 0 = -2*h + 6*h - 8*n + 3*n - 75, 209*h - 3*n + 6*n = 3126 for h. 15 Solve -y = m + 9, -42613*m + 42617*m + 2*y = -26 for m. -4 Solve 45 - 42 = 24*c - 3*t - 99, -273*c + 4*t = -271*c - 16 for c. 4 Solve -4*m + 315 - 251 = -4*b, -3*b = 4*m - 43 for m. 13 Solve -5*n = 16*i - 10*i - 0*i + 57, 49*n + 3*i + 48 = 53*n for n. 3 Solve 61*v + 3*j = 35*v + 31*v - 2, -v + 11*j - 10*j = -2 for v. -2 Solve -949*a + 951*a = -5*q - 99, 5*q - 2*a - 26 = 63 for q. -1 Solve 57 = 4*l + 31*t, -l - 96 = t - 144 for l. 53 Solve 3*z + 2*l - 25 = 26, 16*z = 4*l - 168 for z. -3 Solve 7*p = o - 20, -369*p - 27*o - 15 = -373*p for p. -3 Solve -9 = t, -368371*t + 368365*t = 4*q + 74 for q. -5 Solve -2*h + 5*x - 801 + 673 = 0, -4*x - 228 = 4*h for h. -59 Solve -2*z = 10*r - 0*r + 320, 5*r + 120 + 40 = -5*z for z. 0 Solve 5*o + 5*s = -5, -2*o + 2 = 30*s - 15*s - 22 for o. -3 Solve 24312*v - 24312*v + 3*p + 39 = 0, -25 = -4*v + p for v. 3 Solve 0 = 4*n + 10*a + 758, -27365*n + 27362*n + 4*a + 294 = 0 for n. -2 Solve 2*q + 3*y = -72, 820*y - 815*y = -4*q - 146 for q. -39 Solve 7713*m = -5*o + 7709*m + 193, 7*o - 253 = 3*m for o. 37 Solve 47 = -9*b + 3*a + 137, 55*b - 52*b = -2*a + 39 for b. 11 Solve 2*d - 17*l = 5*d - 16*l - 51, 0*l = 2*d - 2*l + 118 for d. -2 Solve 66*y + 1533 = 5*i, 4*i = 328*y - 330*y - 30 - 4 for i. 3 Solve 2*w + h - 2962 = -2968, 2*w + 2*h = -4 for w. -4 Solve -5*i - 1 = 6*b - 48 - 4, -5*i + 3*b + 18 = 21 for i. 3 Solve -14*y + 3*z - 64 = z, 16 = 4*y - 4*z + 48 for y. -4 Solve -4*j + 24584 = -3*f + 24461, 4*f + 107 = 4*j - 17 for f. -1 Solve 74*y = -3*q + 89, 8*q + 4*y + 7 = 3*q - 6 + 42 for q. 5 Solve -58 = -4*q - 5*u, 46668*q + u = 46664*q - 3 + 21 for q. 2 Solve -18*n + 468 = 0, 5*x + 62 = 42*n - 40*n for x. -2 Solve -31*c - 44 = -16*c - 19*c - 3*f, -c - f + 13 = 0 for c. 5 Solve 14 = j + 541*n - 536*n, 2 = -5*j - n for j. -1 Solve 0 = 5*x - d + 115, 812*d - 23 = x + 810*d for x. -23 Solve 1749*o - 1746*o + 197 = 13*l, -3*o - 213 = 3*l for o. -70 Solve 32 = -q + 43735*l - 43731*l, -5*l = 5*q + 60 for q. -16 Solve -4*h - 91 = -4*y + 17, -64*y = -17*h + 19*h - 1728 for y. 27 Solve 90*f + 13*s = 11*s - 450, 5*s + 20 = 41*f - 45*f for f. -5 Solve -8*p = 5*u + 71, -4461*u + 8919*u - 12 = 4455*u + 3*p for u. -3 Solve -4*f = -4*l - 32, -58 = -797*f + 791*f + 4*l for f. 13 Solve 0*o = -4*h - o - 76, 0*h + 7*o = h + 19 for h. -19 Solve -69 = 21*k - 26*k - 114, -8*i = 3*i - 5*i - k - 39 for i. 5 Solve 44 = 5*n - 4*b, 5641*b - 274 = 2*n + 5688*b for n. 4 Solve -39 = 18*m + 51, -3*p + 4*m + 27 + 51 = 4*p - 40 for p. 14 Solve 38*p = -4*q + 2*q + 188, -206*p + 4*q - 21 = -211*p for p. 5 Solve q + 407 = -6*t + 387, -t = q - 4*t - 7 for q. -2 Solve -229*q - 2*v + 48 - 34 = -227*q, -20*q + 5*v = 9*q - 67 for q. 3 Solve -21 = 1760*y - 1763*y + 7*v, -3*v + 15 = 3*y - 8*v for y. 0 Solve 7*m + 11 = 8980056*q - 8980054*q, -9*q = 2*m + 51 for m. -3 Solve 0 = 2*w - 2*c + 56, -4064*c = -4*w - 4063*c - 115 for w. -29 Solve 53 = c + 289033*o - 289035*o, 5*c + 4*o = -71 for c. 5 Solve -81 = 4*b - 2*f - 24 + 31, 2*f = -2*b - 56 for b. -24 Solve 0 = -5*i + 22*w - 359, 2*w - 88813 + 88776 = -i for i. 3 Solve -18*l + 17*m + 11*m - 27*m + 229 = 0, m + 11 - 3 = l for l. 13 Solve 0*g - 546 = 25*u - g, 20*g = u + 3*u - 9*u + 17*g - 122 for u. -22 Solve -3*j + 1645*c + 246 = 1582*c, 0 = j - j - 2*j - 3*c + 7*c + 12 for j. -2 Solve 6*f = 3*b + 12, -78*f - b - 5 - 11 = -77*f for f. -4 Solve -2*h = 5*f + 645201 - 645186, 2*h + 39 = -13*f for h. 0 Solve 0 = 4*h + 30*o - 29*o, -5*o = 22*h + 42*h - 8 + 52 for h. -1 Solve 6*x = -4*t + 20, 3*x + 4*t + 3 - 23 = -x + 7*x for x. 0 Solve -4*h - 5*w = 7, -3*h - 4*w + 17813 - 17818 = 0 for h. -3 Solve 2*q + 275 - 1 = -5*y, -q + 468 = 43*q - 6*y for q. 3 Solve 0 = -9*n - 43*n - 52, -171*d + 176*d - n + 8 = -4*n for d. -1 Solve -z = -u + 1, 22*u + 122 = -400*z + 398*z for u. -5 Solve -2*g + 21*m - 200 = -120 - 111, -2*g + 12 = -2*m for g. 5 Solve 2*y + 3*k + 2 = -4, 6*y + 0*k + 5*k = -2 for y. 3 Solve 5*g = -a - 112 + 53, 969*g + 4811 = a for a. -34 Solve 640*c - 2*t + 7*t + 12 = 634*c, 4*c + 8 = 2*t for c. -2 Solve -11*f - 9*f + 12*f = 32*c + 16, -4*f - 5 = c + 18 for c. 1 Solve -176*a = -56*a - 62*a - 56*a - 5*r + 11, 2*a = r + 1 for a. 2 Solve -48 = 3*j - 2*s, 0 = -j + 2*s - 65 + 25 for j. -4 Solve -w + 191*v - 39 = -193*v + 389*v, 2*w = -v - 96 for w. -49 Solve -l + 13439 = 2316*a - 58361, a + 131 = 5*l + 142 for a. 31 Solve 0 = -3*s + 2*s - 16*n + 12*n + 13 + 3, 5*s - 18*n = -110 for s. -4 Solve -5 - 3 = -2*f, 2*i + 708 - 372 = -4*f + 356 for i. 2 Solve -13*p - 177 = 31*p - 14*p + 3*s, 47*p + 45 + 163 = 3*s for p. -5 Solve 3*v + 0*v - 15 = -0*v, 4*d = -2*v + 12958 - 12944 for d. 1 Solve -32 = 2*l - j, 168*j - 169*j - 274 = 16*l for l. -17 Solve -23016*u + 23041*u + 5*k - 70 = 0, 4*u + 61 = 3*k for u. -1 Solve 0 = -4*g + 2*m + 3*m + 62 - 44, -4*g - m + 2 = 2*m for g. 2 Solve -4*h - m + 2*m = -9, -8*m = -36*h - 9*m + 31 for h. 1 Solve -184*u + 87*u + 21 = -94*u - 3*g, 0 = -37*u + 6*g + 414 for u. 12 Solve -46*d - 38*d - 23 = -4*s - 87*d, 25*s + 87 = -d for s. -4 Solve -11 = 5*u - v - v - 9*v, 13*u - 1 = 16*u - v for u. 0 Solve 6*a = -16*y + 50, -3*a + 23723 = a + 2*y + 23707 for a. 3 Solve 0 = 104773*b - 104776*b - 3*x + x + 3 + 20, -5*x + 20 = 0 for b. 5 Solve 24*m = 3*g + 29*m - 118, -5*m + 154 = 4*g for g. 36 Solve u + 17696*d - 8 = 17691*d, -4*u - 3*d + 83 = 0 for u. 23 Solve -2*g + 5521 = j + 5514, j - g = -8 for j. -3 Solve w + u - 214780 = -214799, 24 = 5*w - 2*u for w. -2 Solve -7*l + 19369*o = 19365*o - 54, -3*l + 5*o - 59 = -115 for l. 2 Solve 0 = 25*x - 24*x + 11*p + 8, -11*p - 50 = 2*x - 4*x for x. 14 Solve 3*s + 87*z + 231 = 79*z, z = -2*s + 3*z + 66 for s. 3 Solve -4*a + n + 113 = 12, 3*a + 4*n + 328 = 0 for a. 4 Solve 41015 = 3*u + 41009, -22*a - 3*u - 258 = 0 for a. -12 Solve -10189 + 10367 = -2*j + 4*a, -33*a = -1386 for j. -5 Solve -618*x + t - 4 = -617*x, 2*x + 4*t = 9*t + 4 for x. -8 Solve -u - 34 = 5*l, 2*l + 5 + 26 = -8*u - 13 for u. -4 Solve 5*l + 2*m + 389 - 287 = 0, -18*m = 2*l + 58 for l. -20 Solve -5*y - 2*m = 4, -2*y + 3017*m - 3024*m + 66 = -4*y + 2 for y. -4 Solve -5*m + 14 = -d, -2892*d - 8*m = -2890*d + 64 for d. -24 Solve 4*o + 13 = -506*z + 505*z, 3*z + 259 = -67*o for o. -4 Solve 3*d - 30 = -2*w, 0 = -3108474*d + 3108479*d - w - 63 for d. 12 Solve -d = -2*c - 72, -71*c - 4*d - 72 - 62 = -66*c + 33 for c. -35 Solve 5*l + 18 - 35 = -2*q + 20 + 13, 5*l - 95 = -5*q for l. 4 Solve -27744*c + 126 = 4*p + p - 27745*c, 47 = 2*p + 3*c for p. 25 Solve -429 = 36*i + 353*p - 348*p, 4*i + 187 = -3*p for i. -4 Solve 4*k + 68 = -4*j, 871 + 227 = -2*k - 74*j - 16 for k. -2 Solve -4*y + 70 - 8 = 5*z, -8*y - 4*z = -8*z + 72 for y. -2 Solve -2*s - 466*b = -467*b + 16, 42 = 3*s - 15*b + 19*b for s. -2 Solve 2262 = -6*o - 7*i + 6*i + 2269, -i - 13 = o for o. 4 Solve -3*k - 169 - 29 = 241*d - 233*d, -269 = 9*d + 4*k for d. 3 Solve 5*g - 214887660 = 5*f - 214887550, -4*f = 9*g + 23 for f. -17 Solve -7*h + 337 = -112*t - 125, 175*t - 9 = h + 174*t for h. -14 Solve -2*b - b + 2*b + 655 - 80 = 23*d, 2*d - 2*b - 50 = 0 for d. 25 Solve -8417*v = -6*q + 11*q - 8418*v - 38, -4*q + v = -4*v - 169 for q. 1 Solve 2*r - 6519 = 2*u - 6493, 2*r - 5*u = 26 for r. 13 Solve -16*m + u - 73 = 0, -150952*m - 172 = -150948*m - 4*u for m. -2 Solve 3*h = 5*p + 2*h - 44, p - 3250*h = -3246*h + 81 for p. 5 Solve 208 = 5*j - 2*b, -266*j + 272*j - 256 = 4*b for j. 40 Solve 7*k + 115 = -5*z, 248*k + 125 = 243*k + 19*z - 14*z for k. -20 Solve 0 = -5*q - 3*w + 5 + 49, -934291*w + 77 = 4*q - 934286*w for q. 3 Solve 523*x - 519*x = -3*l - 61 - 3 - 19, -x + 2*l = -48 for x. -2 Solve 2*s - 4*s = -5*h + 12, 4*h - 33*s + 32*s - 12 = 0 for h. 4 Solve 5*r + o = 69, -23*r + 6*r - 3*o + 233 = -0*o for r. 13 Solve 32*j = 463*d - 460*d - 79, -5*j = 4*d - 10 for d. 5 Solve -5*k = 3*d, -5*d - 14
{ "pile_set_name": "DM Mathematics" }
s -78/17 at least k? True Let y(h) = -h - 20. Let d be -4*(-2 - 0 - -7). Let g be y(d). Suppose 48 = 14*v - 2*v. Which is greater: g or v? v Let k be (-2 - 1) + (11 - 12). Let p be 6/k*49*2/(-3). Let s = p - 52. Does s = -3? True Let i = 676726/5 - 134841. Which is smaller: i or 504? 504 Let t be -3 - (6 - (9 + -4 + (-1194)/56)). Which is bigger: t or -26? t Let o be 260/(-2340) - 99404/9. Is -11046 at least o? False Let y be (0 + -1)*(3 + -6). Suppose -5*x - y*m + 25 = 0, m + 5 - 2 = 4*x. Let t be -1 + (-6)/x + 3030/755. Is t smaller than 1? True Let x(d) = -4*d - 27. Let u = 36 - 48. Let t be x(u). Suppose -s = 5*y + 1, 3*s - 28 - 37 = 2*y. Is t at least s? True Let o(h) = 41*h - 320. Let w(x) = 2*x**2 - 38*x + 9. Let s be w(19). Let u be o(s). Which is greater: 54 or u? 54 Suppose 14*u - 9*u = 975. Let n = 254 - u. Is 59 at least n? True Let w be 5 + 7/(-4) + (-1)/4. Let c(s) = 2 - s**3 + 4*s - w + 6 + 1 - 3*s**2. Let k be c(-4). Which is smaller: k or 9/2? 9/2 Let t = -126 - -125. Let o be t*(15/3 - 4). Let j be (-264)/143 - (o - (0 + 1)). Is -1 < j? True Suppose -69*d + 70*d - 1 = 0. Let z(q) = 2*q - 46. Let h be z(25). Which is greater: d or h? h Let u = 9/9728 + 4944247/9728. Is 508 > u? False Let f(b) = 4*b**2 + 15*b + 3. Let y be f(8). Suppose -y = -13*s + 765. Which is smaller: s or 173/2? 173/2 Let r = -52 - -56. Let d be r + (-5)/5 + 156. Suppose -3*h - d = -4*k + 2, 2*k = 10. Is h at most -46? True Let n = -26569/5 + 5291. Let z(h) = -3*h**2 + 45*h + 26. Let q be z(16). Which is bigger: n or q? q Let n be (5 + -128)/(5 + 2). Let u = 16 - 34. Which is smaller: u or n? u Let x = 68939/17644 - -3/1604. Which is bigger: 4 or x? 4 Let x = -125 - -128. Suppose 7*f + 197 = -3*i + 3*f, -x*i - 5*f - 196 = 0. Is -71 bigger than i? False Let l = -693 + 522. Let j be -2 + 10 - (-1410)/l. Which is smaller: j or 0? j Suppose -q - 3*k - 21 = 0, -q + 5*k + 17 + 10 = 0. Let g = -9 + 6. Is q < g? False Suppose -2*q - u = 3*u + 3790, -2*u = -4*q - 7530. Let l be (-130)/q - 1816/25491. Is 1 equal to l? False Let c be (-29)/(-145) + (338/(-8))/(60/(-84)). Is 59 less than c? True Suppose -187*o + 177*o = -2110. Let j = 210 - o. Are j and -8/201 equal? False Suppose 95*j - 4*u = 91*j + 12, -3*j = 5*u + 15. Which is smaller: 3/2932 or j? j Let n be (-1)/80*(-10 - -143). Let i = n + 1/16. Which is greater: 0 or i? 0 Let s = -9.99131 + -0.00869. Is -9/2 >= s? True Let u = 7/180 - -53/180. Which is smaller: -51.7 or u? -51.7 Let w be (-22 + -2)*18/(-24). Let j = w + -24. Let g be (4 - 1 - -3)*10/(-15). Do g and j have the same value? False Let t = -125.04 + 125.943. Which is greater: t or -1/3? t Let l = 9.719 + -13.719. Is l at most 1/2629? True Suppose -8 = -3*y - 3*b + 73, -5*y = 4*b - 130. Suppose 8 - y = 14*h. Which is greater: h or -2/59? -2/59 Let c(u) = 2*u**2 + 36*u + 5. Let j be c(-18). Suppose -w = -4, t - 2*t = -j*w + 35. Let f = 19 + -35. Are t and f nonequal? True Suppose 2*l = 22 + 4. Let i = -10 + l. Let w be 14*1/i*-3. Which is smaller: -2/3 or w? w Let d = 4.73 - 0.23. Let j = 25.7 - 25.563. Let w = j + -0.037. Which is smaller: d or w? w Let d(l) be the first derivative of l**4/4 + 8*l**3/3 - l**2 - 15*l - 40. Let v be d(-8). Do 6 and v have the same value? False Let q = -132.246 + 0.246. Let v = 131.95 + q. Which is bigger: 11 or v? 11 Let v = -1102.572 - -3.572. Which is greater: v or 0.06? 0.06 Suppose 2*h = -3*x - 5, -3*h + 5 = -4*h - 2*x. Suppose 584 - 59 = h*w. Let s = -106 + w. Is 0.32 at most s? False Let m = -2893/174216 + -5/952. Suppose -5*n + 4*i = 15, 0*i + 3*i - 17 = -2*n. Which is bigger: m or n? n Let y = -617 - -616.1. Let t = 0.3 + 0.1. Which is smaller: t or y? y Suppose 5094 = -52*n - 314. Which is smaller: 1 or n? n Let q be -5 - -11 - (-1652)/(-2). Let g = -9032/11 - q. Are g and 1 unequal? True Let b = 1674 - 1674.8. Which is smaller: b or -649? -649 Let d be (11944/(-448) - 12) + 4/14. Is d less than or equal to -39? False Let g = -1 - -2. Let u = 26.3 + 23.7. Let b = -50.08 + u. Are b and g non-equal? True Let u(z) = -38*z**3 - z**2 - z + 2. Let s be u(1). Let x = s + 109. Let f = x + -70. Is -4/9 bigger than f? False Let g(b) = 3*b - 10. Let v be g(3). Let u(q) be the first derivative of 3*q**2/2 - 46*q + 15. Let i be u(12). Which is greater: i or v? v Suppose 138*g - 906 - 1389 = -363. Which is smaller: 180/13 or g? 180/13 Let l be (1899/(-6) - 3)*((-134)/18 - -7). Is l at least -26? True Let w be (-1 - -4)*(6 - ((-45)/27 + 8)). Is w smaller than 1/184? True Let m = -3.93 - 0.07. Let p = -150 - -153.1. Let b = -3.05 + p. Which is smaller: m or b? m Let m = 23546 + -24924. Is m <= 8? True Let c = 9 - 18. Let q = -97.6 - -97.8. Is c bigger than q? False Suppose -2*i - 7*i = 0. Suppose 13*k + 71 + 111 = 0. Let t be 18/(-21)*21/k. Is t at most i? False Let f be (3436 + 77)*((-8)/3 + 3). Is f less than 1174? True Let i(n) = 11*n**2 - 7*n - 8 - 11*n - 186*n**3 + 185*n**3. Let q be i(10). Is q greater than -89? True Let i = 2/105 + 101/210. Let l = -35 - -15. Let w be ((-2)/l)/((-77)/(-28)). Is w less than i? True Let a(w) = w**2 - 24*w + 140. Let r be a(15). Suppose -1212 = r*i - 412. Which is smaller: -158 or i? i Let p(a) = -53*a**3 - a**2. Let q be p(-1). Let r(z) = -z**3 + 38*z**2 - 162*z - 101. Let c be r(33). Let b be c/(-8) - q/16. Is b at least -1? False Let f = -119 + 128. Suppose 0 = -14*s + 177 - f. Which is smaller: 1.1 or s? 1.1 Let p = 48 + -82. Let j = -1456 + 1490. Let k = p + j. Is -1.1 greater than k? False Let r = 1 + -59. Let v = -14 + r. Do v and -71 have the same value? False Let k = -161 + 161. Let n be (k/2)/(76 - 73). Is 3/7 != n? True Suppose j - 2 = -u + 1, 0 = 3*u + 4*j - 5. Let o be 2/u - (-90660)/(-525). Let k = o - -171. Is 0 bigger than k? True Let v(p) = -25 + 6 + 34*p - 38*p - 15. Let o = 18 - 26. Let d be v(o). Is -3/2 < d? False Suppose 76*j = -j - 13*j - 27000. Which is bigger: j or -301? j Let u = 3670 - 3670. Do u and 273/4 have the same value? False Let o be 43/3 - 18/(-27). Let n be (o - 0 - 3)/(-1). Let i(u) = 4*u + 42. Let d be i(n). Which is smaller: d or -4? d Let x be 5/75 + 6472/(-90780). Let p = x - -193741/16643. Which is smaller: p or 12? p Suppose -6*h + 73 = -h + s, -3*h - s + 43 = 0. Let i(x) = -6 - 4 + h + 2*x. Let u be i(16). Which is smaller: u or 36? 36 Let o be (-1 + 0)*(4 - (70 - -3)). Let n = o - 152. Is n < -83? False Let z be 0 - (10*2 + -2). Let y be 8/(-2) + (-4 - 206). Let w = -229 - y. Are z and w equal? False Let m(x) = -x**2 + 199. Suppose -2*o + 4*o = -5*i + 30, -5*i = 0. Let h be m(o). Are -336/13 and h equal? False Let m = 1772 - 1772.1. Which is smaller: -0.1362 or m? -0.1362 Let g be -10 - (11 + 120/(-6)). Does -1/2974 = g? False Suppose -2*r = 4*v - 4, -r = -4*v + 1 - 3. Let u be 1/(-11) - (-14059)/191037. Which is smaller: u or v? u Let n = -554 + 269. Let u = n - -291. Is u less than 11/2? False Let y be 40271/(-40) + (-172)/(-32) + -5. Let t = 1001 + y. Let x = 1 - 6. Does x = t? False Suppose 4*s + 5*d + 38 - 39 = 0, -2*d + 1 = s. Is s equal to -304? False Suppose -u + 341*p - 342*p = -146, 2*u - 4*p - 268 = 0. Which is bigger: u or 132? u Let o = 130.8 - -11.2. Let f = o + -141.8. Let y be (1 - (-3 + 2))/9. Is f > y? False Suppose 0 = o - n + 552, -2*o = 2*o - 3*n + 2209. Let x = o - -378. Let u be 2/4 + x/320. Is u less than or equal to -1? False Let g be 76/(-494) - (1/(-13))/(21/(-121443)). Let t(a) = 76*a + 11. Let c be t(-6). Are c and g nonequal? False Let s = -2646 + 2027. Do s and -0.1 have the same value? False Let z = 264 + -274. Let i be ((-520)/(-1450))/(4/z). Which is greater: i or -1? i Let n be 7135/(-2)*(-1264)/(-1580). Is n smaller than -2855? False Suppose x = 16 - 2. Let z = -999 + 1269. Let d be (-10)/(-35) - z/x. Which is smaller: -20 or d? -20 Let i(p) = -p + 6. Let z be i(4). Suppose z*o - 4*y + 6*y = 6, o - 9 = 2*y. Suppose 0 = w + a + 15, -3*w - o*a = -w + 36. Is -12 greater than or equal to w? True Let h be 2/12 + (27825/18)/7. Let c = 331 + h. Let k be ((-9)/(-6))/(18/c). Is k at least as big as 46? True Suppose -2*g = -n + 89, -g - 3*g = -5*n + 175. Let x = 2044/3 - 636. Let y = x + g. Which is greater: -0.05 or y? y Let p = 3089 + -3063. Which is smaller: p or -13? -13 Suppose -1775 = -13*o + 6922. Let l =
{ "pile_set_name": "DM Mathematics" }
/(-5))/((-72)/(-540)) and 21. 84 Let p be (19/(-76))/(10901/(-161996)). Let l = p - -12/991. Calculate the common denominator of l and -57/2. 22 Let j be 20/6*48/20. Let n be (j/448)/(4/(-1426)). Let o = n - -15/16. What is the common denominator of o and 17/6? 42 What is the common denominator of (-110)/(-28) + -2 - (-12)/72 and 29/132? 924 Suppose o + 0*o = -4*n + 19, 0 = -5*o + n + 137. What is the smallest common multiple of o and 5? 135 Let h(r) = 6137*r**3 + r**2 - 7. Let o be h(-3). Let y be 6/(-332)*o/252. Let q = y + -2/249. Find the common denominator of q and -63/10. 40 Suppose f + 274 = -0*f. Let v = f - -385. Calculate the common denominator of -75/16 and 13/(-104) + v/(-40). 80 Suppose g + w = 4*g + 2, 0 = -4*g - 3*w + 19. Let c be 64364/(-440) - (g - 1). Let a = -1498/11 - c. Calculate the common denominator of 31/22 and a. 110 Suppose 18 = -n - 17. Let y = n - -65. What is the lowest common multiple of y and 21? 210 Let d = -77109 + 10795209/140. What is the common denominator of -131/90 and d? 1260 Let k be (-3)/5*5052/(-423). Let h be 1 + 3*(-908)/2820. Let l = h + k. Find the common denominator of -67/3 and l. 15 What is the lowest common multiple of 9 and (-7040)/(-32) - (1 - 6)? 225 Suppose g + 3*k - 14 = 0, 3*g - 4*g + 5*k + 30 = 0. Calculate the lowest common multiple of g and (0 - 1 - -32) + -1. 60 Find the common denominator of (-4)/3 + (-77)/(-162) and 121/60. 1620 Let g = -21342089/52 + 410444. Let s = 5/738 - -42739/9594. Let w = s - g. Find the common denominator of -59/4 and w. 4 Let j be (-22898)/(-728) - (-2)/(-8). Let z be (12/(-104))/((-6)/1656 + 0). Let o = j - z. Calculate the common denominator of -25/8 and o. 56 Let w(r) = 1 - 3*r**2 - 9 + 7*r**2 - r**2 - 2*r**2. Suppose -8 = c - 3*c. What is the least common multiple of 3 and w(c)? 24 Let k(h) = h**2 + 2*h + 3. Suppose -2*u - 20 = 2*u. Suppose -4*d = 5*q - 53, -4*d + 28 = 4*q - 32. Calculate the smallest common multiple of k(u) and d. 198 Let c = -23131/39634 - -35/298. What is the common denominator of c and -8/19? 133 Suppose 0 = 2*b - 20 - 152. Calculate the common denominator of 67/28 and ((-30)/40)/(6/b). 28 Let v = -6/475 + 8111/2850. Let z = 11/30 + v. Let h = 3719/5 + -10867/15. Find the common denominator of z and h. 15 Let w(v) = -v**3 - 14*v**2 - 3*v - 26. Let n be w(-14). Calculate the common denominator of 25 and (n/(-40))/(((-64)/410)/2). 8 Let x = 209 + -186. What is the lowest common multiple of x and 6? 138 Let p be 5942/(-1332) - 14/42. Let t = -348/37 - p. What is the common denominator of 53/7 and t? 126 Suppose 36 + 12 = 2*b. Let a(g) = -4*g - 20. Calculate the lowest common multiple of a(-8) and b. 24 Find the common denominator of ((-6)/(-7425)*235)/(4/(-6)) and -9/11. 165 Let v = 43294623/4 + -6277688521/580. Let j = -1350/29 + v. Let m = 2376 + -11934/5. Calculate the common denominator of m and j. 10 Suppose -48*j + 2700 = -33*j. What is the least common multiple of j and 60? 180 Let s be -1 - -1 - (5 + -9 + 2). Suppose 2*b + 2*v - 2 + 0 = 0, -3*v = -s*b + 2. What is the least common multiple of b and 3? 3 Calculate the common denominator of (-5056)/(-2640) + 3/5 and 101/24. 264 Let f = -16 - -30. Calculate the least common multiple of f and 22. 154 Calculate the lowest common multiple of (-50)/45*(-2)/(2/9) and 115. 230 Let g = 267529/145 - 1845. Let o = g - 7983/290. What is the common denominator of o and -44/17? 34 Let u be (-8)/(288/9) - 1/(-4). Suppose 15 = 5*a - 2*a - 3*f, u = -2*a - 4*f + 28. Calculate the smallest common multiple of a and (-200)/(-14) - 4/14. 56 Let n = 32 + -30. Let c(f) = -2*f**2 - 3*f + 3. What is the common denominator of ((-3)/66*-5)/(1/n) and c(2)? 11 Let u(d) = -20*d**3 + d**2 + d. Let f be u(-1). Suppose -o + f = 2. What is the least common multiple of o and 22? 198 Let j = -42 + 41. Find the common denominator of j/(-6) - 172/16 and 47/10. 60 Let n = 90865/36 - 2525. Let g = -32789/10 - -3276. Calculate the common denominator of n and g. 180 Suppose -78 = 4*f - 7*f. Let g = f + -18. What is the lowest common multiple of g and 12? 24 Suppose -2*n + 26 = -4*p, 4*n + 3*p - 19 = 11. What is the least common multiple of n and 9? 9 Suppose -5*o = -9*o + 9320. Let r = o + -1032. Find the common denominator of 11/7 and ((-1)/18)/(11/r). 63 Let j(w) = -20*w + 164. What is the least common multiple of j(-2) and 60? 1020 Let s(o) = -20*o + o**2 + 31*o + 10 - 13*o. Let d(r) = 9*r**3 - r**2 - r + 1. What is the smallest common multiple of d(1) and s(0)? 40 Calculate the common denominator of 19/206 and 6/9 + -2 - 74/30. 1030 What is the common denominator of (0 + 202/(-4))/(-2) and ((-1)/((-16)/74))/((-77)/132)? 28 Let u = 1033/10 + -374/5. Calculate the common denominator of u and -4 - -4 - (-26)/4 - 2. 2 Suppose -88 = 4*i - 4*d, -54 = -i + 3*i - 4*d. Let h be (-2)/(-4) - i/(-2). Calculate the common denominator of (-60)/(-22) + h/44 and 79/6. 66 What is the common denominator of 5/13 and -7*(-11)/(-154)*(-43)/(-52)? 104 Suppose 3*s - 5*s - 4 = 0. Let x be s + (-3737)/(-1220) + -3. Let i = x - 4/305. What is the common denominator of i and -127/6? 60 Let d = 231089/69630 - 2/3165. What is the common denominator of d and 127/102? 1122 Let b be (18/21)/(6/21). Suppose 0 = -5*o + 4*p + 12, -3*o + b*p = p - 6. Let z(y) = y**2 + y + 7. What is the smallest common multiple of 10 and z(o)? 70 Suppose 0 = 4*j + 1467 - 4203. Let i be 2/(-8) - (-8799)/j. Let s = i + -37/19. What is the common denominator of 41 and s? 3 Let k = 75 - 71. Let s = 1779/10 + -707/5. What is the common denominator of s and 166/(-6)*(-2)/k? 6 Calculate the common denominator of -83/4 and (-9*4/(-2850))/((-8)/(-30)). 380 Suppose -7*f = -125 + 62. What is the least common multiple of f and 54? 54 Suppose -4*s + a = -17, -5*s - a = 4*a - 15. Suppose s*f - 2 = 3*f. Calculate the least common multiple of 6 and 6*1/f - 0. 6 Let n(t) = -6*t - 2. Let i be n(-5). Suppose -3*v + i = 10. Suppose 12*q - 4*q - 48 = 0. What is the smallest common multiple of q and v? 6 Calculate the common denominator of 2/(-10) - 7072/(-2560) and ((-85)/33)/((-6)/(-9)). 176 Find the common denominator of ((-17)/102)/(7/(-124)) and 179/180. 1260 Let u(b) = 14*b - 113. What is the smallest common multiple of u(10) and 36? 108 Suppose -12*p + 102 = 42. Suppose -4*h - 1 = -33. What is the lowest common multiple of h and p? 40 Let c be (3 + -13)*(-1)/2. Suppose -c*r = 8 - 48. What is the lowest common multiple of 2 and r? 8 Let b(u) = u + 20. Let c be b(-17). Let l = -33669/30590 + 2/3059. What is the common denominator of l and (c/2)/((-5)/(-19))? 10 Let w(d) be the third derivative of -d**5/60 + 7*d**4/24 - 7*d**3/6 + 39*d**2. What is the least common multiple of ((-1)/2)/((-1)/4) and w(4)? 10 Let d = 4133/1616 + -50/101. Find the common denominator of d and 95/66. 528 Calculate the smallest common multiple of 18 and 7/((-21)/(-8))*(2 - -1). 72 Find the common denominator of -17/120 and 8/(-336)*(-1 + -3 + 35). 840 What is the common denominator of -35/687 and (-27)/42*286/(-33)? 4809 Let h(l) = 21*l**3 - 8*l**2 - l + 6. Let f be h(-6). Let q = -133811/14 - -9554. Calculate the common denominator of q and f/720 + 2/(-5). 84 Let b = 501 + -338. Calculate the common denominator of -63/4 and 2 + b*(-4)/72. 36 Let n = 70 + -67. Calculate the smallest common multiple of 33 and 2/n*(-1)/2*-54. 198 Let p = 11 + 4. Let w = -9 + p. Calculate the smallest common multiple of w and 11. 66 Suppose -3*s = 6, 0 = -7*z + 8*z + 2*s - 77. What is the least common multiple of 90 and z? 810 Suppose -61*q = -240 - 5372. What is the least common multiple of q and 16? 368 Let q be (-748)/(-90) + (-3 - -2). Let i = q + -223/15. Calculate the common denominator of i and -91/4. 36 Let s = 235 - 225. What is the smallest common multiple of s and 22? 110 Suppose 0 = 3*n + 3, -4*p + 17 = n - 18. Let g be (p/(-27))/(2/24). Find the common denominator of g - 177/90 - -1 and -59/6. 30 Let a = 54/209 + -20813/2090. Calculate the common denominator of a and -87/1300. 1300 Let k be ((-20)/(-3))/(-1)*(-9000)/(-16). Let r = k - -18813/5. What is the common denominator of -21/10 and r? 10 Suppose -108 = -3*k - 45. Suppose -4*o = -k + 1. Suppose -3*m - 3 + 7 = -i, 0 = m - 4*i - o. Calculate the lowest comm
{ "pile_set_name": "DM Mathematics" }
+ 36*t**2 - 3866 + 1929. 36*t**2 Collect the terms in -346 + 652 - 306 - d**2. -d**2 Collect the terms in -55*v**3 - 53*v**3 - 54*v**3 + 163*v**3. v**3 Collect the terms in 276*p**2 - 1871*p**2 - 2642*p**2 - 654*p**2. -4891*p**2 Collect the terms in -54*h - 77*h**2 + 54*h - 326*h**2. -403*h**2 Collect the terms in -4*s + 281*s**3 - 849*s**3 + 2*s. -568*s**3 - 2*s Collect the terms in -4172*h**2 - 72*h**3 - 2*h + 4178*h**2 + 2*h. -72*h**3 + 6*h**2 Collect the terms in 2*i - 4*i - 326*i**2 - 167*i**2 + 102*i**2. -391*i**2 - 2*i Collect the terms in -899*i**3 - 604*i**3 + 1177*i**3. -326*i**3 Collect the terms in -795 + 18*k**3 + 1568 - 773. 18*k**3 Collect the terms in -16*h**3 - 165*h**3 + 72*h**2 - 160*h**2 + 88*h**2. -181*h**3 Collect the terms in 5*g - 16*g + 156*g + 30*g. 175*g Collect the terms in -2*f**2 + 37 + 20 + 7 - 79 + 15. -2*f**2 Collect the terms in -130*g - 7*g + 0*g**3 + 54*g - 3*g**3 + 16*g. -3*g**3 - 67*g Collect the terms in -123120 - 2*q + 123120. -2*q Collect the terms in -13*o + 20*o + 15*o - 4. 22*o - 4 Collect the terms in 726 + 4474*h**2 + 839 - 4472*h**2 - 1565. 2*h**2 Collect the terms in -107*h + 22*h + 26*h + 25*h + 30*h. -4*h Collect the terms in 1867*k**3 - 1841*k**3 + 90*k**2 - 90*k**2. 26*k**3 Collect the terms in -3*t**2 - 278*t**3 - 68*t**3 + 66*t**3 + 3*t**2. -280*t**3 Collect the terms in -76*v**2 - 23*v**2 - 9*v**2 - 26*v**2 + 128*v. -134*v**2 + 128*v Collect the terms in -845 - 845 + 1690 + 9304*b. 9304*b Collect the terms in 14283894 - 14283894 - 4*s. -4*s Collect the terms in -471*p + 950*p - 2886*p**3 - 479*p. -2886*p**3 Collect the terms in 15*s**3 - 2*s - 69*s**3 - 65*s**2 - 32*s**3 + 65*s**2. -86*s**3 - 2*s Collect the terms in -77*u - 44*u - 47*u + 179*u. 11*u Collect the terms in -5*n + 16*n - 11*n - 2*n + 4*n. 2*n Collect the terms in 67*b - 74*b - 47*b - 64*b. -118*b Collect the terms in -22279*r**2 + 11135*r**2 + 11143*r**2. -r**2 Collect the terms in -196 - 2*x + 74 + 76 + 52. -2*x + 6 Collect the terms in -230*q**3 + 80*q**3 + 82*q**3 + 74*q**3. 6*q**3 Collect the terms in 10*t**2 + 1005521*t - 502759*t - 502762*t. 10*t**2 Collect the terms in -140*z**2 - 131*z**2 - 135*z**2 - 130*z**2 - 134*z**2 + 671*z**2. z**2 Collect the terms in -45081 + 2*r**3 + 22542 + 22539. 2*r**3 Collect the terms in -96639*w**3 + 48315*w**3 + 48327*w**3. 3*w**3 Collect the terms in 190*j - 605*j + 199*j + 3 + 201*j - 3. -15*j Collect the terms in -656*f + 197*f - 347*f - 348*f. -1154*f Collect the terms in -2672*k - 743*k - 2788*k. -6203*k Collect the terms in -33 + 0*x + 17 + 10*x + 12. 10*x - 4 Collect the terms in -591*c**2 - 58 + 31 + 27. -591*c**2 Collect the terms in -115*y**2 + 182*y**2 - 64*y**2. 3*y**2 Collect the terms in 11*p**2 - 5*p**2 - 2656*p**3 - 6*p**2. -2656*p**3 Collect the terms in 3*i + 44*i - 1 - 2*i - 43*i. 2*i - 1 Collect the terms in 495*d + 495*d - 20*d**3 - 990*d. -20*d**3 Collect the terms in 401*d - 1700*d - 2 - 504*d. -1803*d - 2 Collect the terms in -5*l + 2*l + 10*l + 88 - 2*l. 5*l + 88 Collect the terms in 8 + 82*i - 43*i - 27*i. 12*i + 8 Collect the terms in -121 - 216*g + 245 - 116. -216*g + 8 Collect the terms in -138097*w**3 - 138154*w**3 + 276252*w**3. w**3 Collect the terms in 25 - 17 - 42470*q**2 + 42481*q**2 - 8. 11*q**2 Collect the terms in -1325285 - 1325289 + 2650574 - 2*f. -2*f Collect the terms in -81 - 129 + 211 + 768*u. 768*u + 1 Collect the terms in 70235 - 35121 - n - 35114. -n Collect the terms in -3*q + 5*q - 2*q - 92023*q**3 + 91998*q**3. -25*q**3 Collect the terms in -12*f**2 - 13*f**2 - 19*f**2 - 24*f**2 + 64*f**2. -4*f**2 Collect the terms in 4 - 124*d**2 + 407*d**2 - 11 + 7. 283*d**2 Collect the terms in -264*i**3 - 3*i - 155*i**3 + 516*i**3. 97*i**3 - 3*i Collect the terms in -239*d**3 + 140*d**3 + 112*d**3. 13*d**3 Collect the terms in -137*b + 244*b - 124*b. -17*b Collect the terms in -2*m**2 - 43 + 43 - 4*m**2 - m**2. -7*m**2 Collect the terms in 1262*t**2 - 1107*t + 1107*t. 1262*t**2 Collect the terms in 113*n**3 + 19*n + 23*n - 31*n**3. 82*n**3 + 42*n Collect the terms in -932*y**2 + 146*y**2 - 147*y**2. -933*y**2 Collect the terms in 7*g + 13*g - 3*g - 2. 17*g - 2 Collect the terms in -n**2 + 2 + 3*n**2 - 9 - 3 + 10. 2*n**2 Collect the terms in -4720*y**3 + 3831*y**3 - 1665*y**3. -2554*y**3 Collect the terms in -57*t**3 - 109*t**3 - 52*t**3 + 213*t**3. -5*t**3 Collect the terms in 3*r**3 - 8*r**3 + 22*r + 7*r**3 + 76*r + 99*r. 2*r**3 + 197*r Collect the terms in -7172*g + 3602*g + 3592*g. 22*g Collect the terms in -1124*i**2 - 317*i + 632*i - 315*i. -1124*i**2 Collect the terms in -3 + 92*y**2 + 307*y**2 + 3. 399*y**2 Collect the terms in -3 + 5*w**2 + 18*w - 22 + 0*w + 11*w. 5*w**2 + 29*w - 25 Collect the terms in -86*x**2 + 6 - 489*x**2 - 5. -575*x**2 + 1 Collect the terms in 1565 + 1556 - 3121 + 14*r. 14*r Collect the terms in -31*q**3 + 6*q**3 + 117*q**3. 92*q**3 Collect the terms in -1491*t - 2 + 1491*t - 13*t**3. -13*t**3 - 2 Collect the terms in 113*c - 5 + 203*c**2 + 5 - 113*c - 199*c**2. 4*c**2 Collect the terms in -4*g**2 + 119*g**3 + 3*g**2 - g**2 + 78*g**3. 197*g**3 - 2*g**2 Collect the terms in -131994*c + 131994*c + 13*c**2 + 12*c**2. 25*c**2 Collect the terms in -y**2 + 153788*y - 307576*y + 2*y**2 + 153788*y. y**2 Collect the terms in 13 + 56*h + 7*h + 21 - 34. 63*h Collect the terms in -219299169 + 219299169 - q. -q Collect the terms in 3*n**3 - 4*n**3 + 1283*n - 242*n. -n**3 + 1041*n Collect the terms in 61*l - 58*l + 3*l - 3*l - 2*l. l Collect the terms in -16673323*l - l**2 + 2*l**3 + 16673323*l + l**2. 2*l**3 Collect the terms in -g**2 - 2*g**2 + 12*g - 12*g - 5*g. -3*g**2 - 5*g Collect the terms in -3*i**2 - 15458*i**3 + 2*i**2 + i**2. -15458*i**3 Collect the terms in -90187*i**3 + 3*i - 3*i + 90202*i**3. 15*i**3 Collect the terms in -32 - 1 - 2*o**3 - 10 + 43. -2*o**3 Collect the terms in -4*j**2 - 43117416 + 43117416. -4*j**2 Collect the terms in -2*s**3 + 6*s**3 - 9*s**3 + 42*s**2 - 202*s**2. -5*s**3 - 160*s**2 Collect the terms in 52465*b - 52465*b + 4*b**2 - 21*b**2 - 27*b**2. -44*b**2 Collect the terms in -14638 - 3*k**2 + 3*k**2 - 2*k**3 + 14932. -2*k**3 + 294 Collect the terms in 166*j + 159*j - 636*j + 155*j + 168*j. 12*j Collect the terms in 160909238682*h - 160909238682*h + 0*h**3 + h**3. h**3 Collect the terms in 41 - 3 + 10 - 5*i**3 + 9. -5*i**3 + 57 Collect the terms in 377*u**2 - 18 + 7 + 11. 377*u**2 Collect the terms in 123*j**2 - 1 + 4*j**2 + 6 - 2. 127*j**2 + 3 Collect the terms in -499*x**3 - 37*x + 101*x - 64*x. -499*x**3 Collect the terms in -372*t**2 + 196*t**2 - 369*t**2 - 3. -545*t**2 - 3 Collect the terms in -2*m + 510*m**3 - 18401*m**2 + 18401*m**2. 510*m**3 - 2*m Collect the terms in -150*a - 174*a - 74*a - 73*a + 272*a. -199*a Collect the terms in -3519*k + 1740*k - 24*k**2 + 1778*k. -24*k**2 - k Collect the terms in -2 - 1197*k + 4 + 428*k. -769*k + 2 Collect the terms in 9*h - 93708 + 46857 + 46851. 9*h Collect the terms in -3*h**3 - 4*h**3 + 7*h**3 + 6*h**3 - 2*h**3 - 3*h**3. h**3 Collect the terms in 282*d**2 - 1414*d**2 + 278*d**2 + 284*d**2 + 285*d**2 + 283*d**2. -2*d**2 Collect the terms in 4*m**3 - 21613*m + 21613*m. 4*m**3 Collect the terms in -54 - 1021*a + 54 - 1985*a. -3006*a Collect the terms in 660*p + 658*p - 1980*p + 89*p**2 + 661*p + 48*p**2. 137*p**2 - p Collect the terms in -5 + 5 - 246623383*o - o**3 + 246623383*o. -o**3 Collect the terms in 22860*s + 10 - 10. 22860*s Collect the terms in -5*n**2 - 781*n + 3*n**2 + 231*n. -2*n**2 - 550*n Collect the terms in v**2 - 90*v - v**2 - 6*v**2 + 22*v - v**2. -7*v**2 - 68*v Collect the terms in 85*v - 4 + 5 - 91*v + 1. -6*v + 2 Collect the terms in 33*v - 6 + 1 - 15*v + 4 - 17*v. v - 1 Collect the terms in 0 + 4*b**3 - 3 - 1 + 0 - 6*b**3. -2*b**3 - 4 Collect the terms in 1065*l**2 + 1059*l**2 + 2*l + 3*l**3 - 2*l. 3*l**3 + 2124*l**2 Collect the terms in -73*u - 87 + 40 + 125*u + 47. 52*u Collect the terms in 12*b**2 - 13*b**2 - 4*b**2 + 6*b**2 - 7*b**2 - 8*b**2. -14*b**2 Collect the terms in -4*n - 48 + 5*n + n - n + 4. n - 44 Collect the terms in -a + 2*a + 38 + 0*a. a + 38 Collect the terms in 349*v**3 - v + 66*v**3 - v + 2*v. 415*v**3 Collect the terms in 3*x - 26 + 55 - 23 + 24*x**2 - 2*x. 24*x**2 + x + 6 Collect the terms in 436*n*
{ "pile_set_name": "DM Mathematics" }
+ 11*g**2 + 2*g**3 wrt g? 6*g**2 Let z(u) be the first derivative of -u**5/60 + u**4/12 + u**3 + 1. Let x(c) be the third derivative of z(c). What is the derivative of x(i) wrt i? -2 Let b(d) be the second derivative of d**4/24 - d**3/2 + d**2 - 2*d. Let k(l) be the first derivative of b(l). Find the first derivative of k(p) wrt p. 1 Find the third derivative of -41*h**5 + 41*h**5 - 9*h**6 - 16*h**2 wrt h. -1080*h**3 Suppose 4*o = o + 15, 0 = 4*d + o - 21. Find the second derivative of 2*l + 3*l**5 - d*l + l**5 - l**5 wrt l. 60*l**3 Let a be 9/(-6)*(-4)/(-6). Let d be 2/a - -2 - -5. What is the second derivative of -b**4 + 2*b**d + b**4 - b wrt b? 40*b**3 What is the third derivative of 0*j**2 - 2*j**6 - j**2 + j**6 wrt j? -120*j**3 Let v(f) be the first derivative of -f**3/3 + 2*f + 13. What is the first derivative of v(m) wrt m? -2*m What is the third derivative of 6*s**3 - 9*s**3 + s**3 - 9*s**3 + 13*s**2 wrt s? -66 Let g be ((-78)/(-27) + -3)/(1/(-3)). Let s(h) be the first derivative of -3/2*h**2 + 0*h + 3 + g*h**3. What is the second derivative of s(w) wrt w? 2 Let x = -9 + 16. Suppose 8 = 5*c - x. Find the second derivative of f**c + 4*f**3 - f**3 - 3*f - 3*f**3 wrt f. 6*f What is the first derivative of 2 + 16*d**3 + 4 + 19 + 4*d**3 wrt d? 60*d**2 Let d(f) be the first derivative of -f**5/5 + 9*f + 25. What is the derivative of d(n) wrt n? -4*n**3 Suppose -3*n + 3 + 3 = 0. Suppose -c - 5 = -0, c = -n*a + 1. What is the second derivative of -19*b + 17*b + a*b**2 - 2*b**2 wrt b? 2 Let w(b) be the first derivative of -b**6/90 - b**5/30 + b**3 - 3. Let l(j) be the third derivative of w(j). What is the second derivative of l(r) wrt r? -8 What is the first derivative of -9 + 6 - 15*n + 32 wrt n? -15 Let i be 1 - (-6)/(-3)*-1. What is the second derivative of 8*x - 14*x**2 + 2*x**3 + 14*x**2 - 6*x**i wrt x? -24*x Let s(p) be the first derivative of -3*p + 0*p**3 - 1/5*p**5 - 2 + 0*p**4 + 0*p**2. Find the first derivative of s(f) wrt f. -4*f**3 Find the third derivative of 21*m**6 + 13*m**2 - 5*m**2 - 17*m**6 wrt m. 480*m**3 Let t(u) = 2*u**3 - 4*u**2 + 3*u - 4. Let v(w) = 2*w**3 - 5*w**2 + 4*w - 5. Let h(r) = -5*t(r) + 4*v(r). What is the second derivative of h(j) wrt j? -12*j Let r(f) be the first derivative of f**8/420 - f**4/6 + 2*f**3 - 7. Let a(j) be the third derivative of r(j). What is the first derivative of a(z) wrt z? 16*z**3 Let g(q) be the second derivative of 0*q**5 + 1/4*q**4 + 3*q + 2/21*q**7 + 0*q**6 + 0*q**3 + 0*q**2 + 0. What is the third derivative of g(w) wrt w? 240*w**2 Let t(h) = h**2 - 4*h + 4. Let r be t(5). Suppose 3*k + 0 + r = 0, 0 = 3*g + 2*k. Find the first derivative of 2*c**2 - c**g - 2*c**2 - 2 wrt c. -2*c Let v(q) = -2*q**3 + 4*q**2. Let l(j) = -8*j**3 + 0*j**3 + 2*j**3 + 12*j**2. Let g(c) = 3*l(c) - 8*v(c). What is the third derivative of g(s) wrt s? -12 Let p = -339/10 - -34. Let c(o) be the second derivative of p*o**6 + 0*o**4 + 0*o**5 + 0 + 0*o**2 + 3*o - 1/6*o**3. What is the second derivative of c(k) wrt k? 36*k**2 Let x(y) be the first derivative of -y**10/1008 + y**6/90 + 4*y**3/3 + 2. Let h(i) be the third derivative of x(i). What is the third derivative of h(k) wrt k? -600*k**3 Let j(f) = 5*f**4 - 5*f**3 + 5*f**2 + 5*f + 2. Let c(l) = -l**3 + l**2 + l. Let p(r) = 5*c(r) - j(r). What is the first derivative of p(t) wrt t? -20*t**3 Let j(s) be the third derivative of s**7/35 + s**4/8 - 2*s**2. Find the second derivative of j(d) wrt d. 72*d**2 Suppose 6*n = 3*n. What is the third derivative of n*x**3 + 4*x**3 + 4*x**6 - x**2 - 4*x**3 wrt x? 480*x**3 Let l(s) = 25*s**3 - 4*s**2 + 8*s - 4. Let x(n) = n**3 + n**2 - n. Let r(c) = l(c) + 4*x(c). What is the second derivative of r(z) wrt z? 174*z Let m(c) be the first derivative of -5*c**7/42 + c**3/6 - c + 3. Let z(l) be the first derivative of m(l). What is the second derivative of z(u) wrt u? -100*u**3 Differentiate 4*s**2 + 16 + 0 - 10 with respect to s. 8*s Let i(k) = -7*k**2 - 3*k - 12. Let q(z) = -z**4 + z**2 + z - 1. Let d(n) = i(n) + 3*q(n). Differentiate d(c) with respect to c. -12*c**3 - 8*c Let l(w) be the second derivative of w**7/280 - w**4/12 + w**3/3 - w. Let x(s) be the second derivative of l(s). Find the first derivative of x(v) wrt v. 9*v**2 Let q be -15*(0 - (-6)/15). Let m = q - -10. What is the first derivative of 5 - 3 - 2*i**4 + i**m wrt i? -4*i**3 Let q(a) be the second derivative of -a**5/20 + 3*a**3/2 + 14*a. What is the second derivative of q(r) wrt r? -6*r Let b(w) be the second derivative of -2*w**5/5 + 5*w**4/12 - 20*w**2 - 11*w. What is the derivative of b(q) wrt q? -24*q**2 + 10*q Let j(u) = -10*u**4 + 3*u**3 - 3*u**2 - 16. Let h(a) = 31*a**4 - 8*a**3 + 8*a**2 + 47. Let q(o) = -3*h(o) - 8*j(o). Find the first derivative of q(s) wrt s. -52*s**3 Find the third derivative of -8 - 4 + 12 - 7*y**2 + 4*y**5 wrt y. 240*y**2 Let s(v) = 5*v**3 + 14*v. Let y = -25 - -17. Let m(j) = -7*j**3 - 21*j. Let i(r) = y*s(r) - 5*m(r). Find the second derivative of i(g) wrt g. -30*g Let k(c) = c + 1. Let o(m) = 6*m - 1. Let n(v) = 4*k(v) - o(v). Differentiate n(f) with respect to f. -2 Let y(x) = -x + 8. Let l be y(6). Suppose 2*a = 2*z + z - 8, 0 = 2*z + 5*a + 1. Find the third derivative of z*k**4 - 2*k**2 - 5 + 3 + l wrt k. 48*k Let w be 9/(-12) + (-34)/8. Let x = w + 7. What is the derivative of -4*r + 1 - 3 + 1 + x wrt r? -4 Let w = -5 - -8. Find the third derivative of -j**2 - j**2 - 2*j**w + j**3 wrt j. -6 Suppose -n - 2*n + 3 = -2*a, a = n + 1. Find the second derivative of -d**2 + d + 0*d - a*d + 2*d wrt d. -2 Let l(f) be the second derivative of 0*f**3 + 0*f**4 + 2*f + 1/30*f**6 - 3/2*f**2 + 0*f**5 + 0. Differentiate l(n) wrt n. 4*n**3 Find the first derivative of 8*n**3 - 18*n**2 + 42*n**2 + 19 - 23*n**2 wrt n. 24*n**2 + 2*n Suppose -15 = -3*f - 6. Find the third derivative of -b**3 + b**2 - 5*b**f + 6*b**3 - 4*b**5 wrt b. -240*b**2 Let c(w) be the second derivative of w**9/3024 + 3*w**5/40 - w**4/6 - 6*w. Let r(q) be the third derivative of c(q). Differentiate r(o) with respect to o. 20*o**3 Let c(t) = -32*t**2 + 46*t. Let a(f) = -64*f**2 + 91*f. Let i(b) = -3*a(b) + 5*c(b). What is the second derivative of i(n) wrt n? 64 Let s(j) = -j. Let l(b) = -26*b - 15. Let n(i) = -l(i) - 2*s(i). Differentiate n(h) wrt h. 28 Let b be -1 + 3/1 + -2. Suppose 3*r = -b*r + 9. What is the second derivative of n - n - n + n**r wrt n? 6*n Find the third derivative of 8*m**2 + 7*m**4 - 7*m**2 + 20*m**2 - 33*m**4 wrt m. -624*m Let l(v) be the first derivative of v**8/840 - v**4/12 + 2*v**3/3 - 4. Let n(z) be the third derivative of l(z). What is the derivative of n(g) wrt g? 8*g**3 Let r(t) = -t**2 - t. Let j(h) = -9*h**2 - 18*h. Let n(f) = j(f) - 5*r(f). Find the second derivative of n(d) wrt d. -8 Let b = 2 - 6. Let x be (-1)/(-1 - 3/b). Differentiate -x*g + g**3 + 2 + 4*g with respect to g. 3*g**2 Let s be (20/14)/(8/56). What is the first derivative of 6 - s*v - 2 + 14*v wrt v? 4 Let r(b) = 5*b - 1. Let a(n) = 4*n. Let q(v) = 6*a(v) - 5*r(v). What is the derivative of q(i) wrt i? -1 Suppose 5*l = p + 5 + 7, 0 = -4*l - p + 15. Let z = -6 - -9. What is the third derivative of -l*k**2 - 5*k**3 + 5*k**z - 3*k**6 wrt k? -360*k**3 Let j be (17 + -1)/(0 - -2). Differentiate -2 - j + 0*l**3 + 5*l**3 + 5 with respect to l. 15*l**2 Let c be (-1)/(-2) - (-33)/6. Suppose -5*m - 10 = 5*l, -2*m = -4*m - c. Find the first derivative of l - r**3 + r**4 + r**3 wrt r. 4*r**3 Let q(t) = 5*t**2 - t + 1. Let a be q(1). Suppose 0 = -3*g - 2*g + 10. Find the third derivative of -u**2 + 0*u**4 + a*u**g - 2*u**2 - 3*u**4 wrt u. -72*u Let m(t) = t**3 + t**2 + 2*t. Let z be m(2). What is the second derivative of 7*v + 7*v**3 - v**2 - z*v + v**2 wrt v? 42*v Suppose 5*q + 11 = -4*u - 0*q, 17 = 2*u - 5*q. Let s = 0 + u. Find the first derivative of 3*p**2 - p**3 - 3*p**2 + s wrt p. -3*p**2 Suppose 24 = 2*g + 2*g. Differentiate -2 + 3 + g*h**4 + 12*h**3 - 12*h**3 wrt h. 24*h**3 Let j(h) be the third derivative of -h**5/4 + 2*h**3/3 + 17*h**2. Find the first derivative of j(i) wrt i. -30*i Let s(v) = -13*v**2 + 4. Let c(f) = 19*f**2 - 6. Let o(d) = -5*c(d) - 8*s(d). Differentiate o(t) wrt t. 18*t Let y(l) = 9*l**3 - 21*l**2 - 21*l - 9. Let f(d) = d**3 - 2*d**2 - 2*d - 1. Let t
{ "pile_set_name": "DM Mathematics" }
emainder when 74934 is divided by 17. 15 Calculate the remainder when 4554 is divided by 40. 34 Calculate the remainder when 2283665 is divided by 570914. 9 What is the remainder when 9246 is divided by 165? 6 What is the remainder when 40480 is divided by 1227? 1216 What is the remainder when 80945 is divided by 16174? 75 Calculate the remainder when 10531 is divided by 155. 146 What is the remainder when 29228 is divided by 1124? 4 Calculate the remainder when 79299 is divided by 102. 45 Calculate the remainder when 30286 is divided by 3785. 6 Calculate the remainder when 3059 is divided by 66. 23 What is the remainder when 1381 is divided by 639? 103 Calculate the remainder when 2716063 is divided by 1705. 1703 What is the remainder when 553398 is divided by 107? 101 What is the remainder when 434762 is divided by 63? 62 Calculate the remainder when 10995 is divided by 1567. 26 Calculate the remainder when 161004 is divided by 287. 284 Calculate the remainder when 7087 is divided by 1732. 159 Calculate the remainder when 453 is divided by 236. 217 Calculate the remainder when 8714 is divided by 4. 2 What is the remainder when 13455 is divided by 99? 90 Calculate the remainder when 26079 is divided by 362. 15 Calculate the remainder when 83948 is divided by 67. 64 Calculate the remainder when 255610 is divided by 443. 442 Calculate the remainder when 126668 is divided by 530. 528 Calculate the remainder when 9148 is divided by 1819. 53 Calculate the remainder when 17406 is divided by 205. 186 What is the remainder when 19138059 is divided by 20? 19 What is the remainder when 14807 is divided by 4672? 791 What is the remainder when 5241 is divided by 14? 5 What is the remainder when 139274 is divided by 477? 467 Calculate the remainder when 2401121 is divided by 82. 79 What is the remainder when 13691 is divided by 1369? 1 Calculate the remainder when 438287 is divided by 276. 275 What is the remainder when 14848 is divided by 249? 157 What is the remainder when 374424 is divided by 374416? 8 Calculate the remainder when 4332 is divided by 21. 6 What is the remainder when 43158 is divided by 40? 38 What is the remainder when 2447 is divided by 170? 67 What is the remainder when 591556 is divided by 115? 111 Calculate the remainder when 1591 is divided by 17. 10 Calculate the remainder when 112163 is divided by 603. 5 Calculate the remainder when 31624 is divided by 93. 4 Calculate the remainder when 9955 is divided by 323. 265 Calculate the remainder when 121814 is divided by 27. 17 What is the remainder when 2998 is divided by 25? 23 What is the remainder when 9256138 is divided by 843? 841 Calculate the remainder when 82105 is divided by 2932. 9 What is the remainder when 1275 is divided by 595? 85 What is the remainder when 4211 is divided by 4190? 21 What is the remainder when 5367 is divided by 28? 19 What is the remainder when 13413280 is divided by 757? 754 What is the remainder when 388116 is divided by 53? 50 Calculate the remainder when 2695 is divided by 1347. 1 What is the remainder when 49053 is divided by 32? 29 Calculate the remainder when 79005 is divided by 103. 4 Calculate the remainder when 2653 is divided by 24. 13 Calculate the remainder when 187688 is divided by 58. 0 Calculate the remainder when 217582 is divided by 108788. 6 Calculate the remainder when 125965 is divided by 189. 91 What is the remainder when 1289 is divided by 117? 2 What is the remainder when 935065 is divided by 11? 10 What is the remainder when 1784 is divided by 1639? 145 What is the remainder when 2606 is divided by 525? 506 Calculate the remainder when 7851 is divided by 394. 365 Calculate the remainder when 5821 is divided by 1940. 1 What is the remainder when 4995115 is divided by 19? 15 What is the remainder when 8098 is divided by 369? 349 Calculate the remainder when 115407 is divided by 5770. 7 Calculate the remainder when 9890 is divided by 46. 0 Calculate the remainder when 722903 is divided by 14. 13 What is the remainder when 32691 is divided by 63? 57 Calculate the remainder when 50278 is divided by 28. 18 Calculate the remainder when 121256 is divided by 9327. 5 Calculate the remainder when 15957 is divided by 15939. 18 Calculate the remainder when 1448158 is divided by 140. 138 Calculate the remainder when 2927 is divided by 2174. 753 What is the remainder when 7290 is divided by 460? 390 What is the remainder when 327084 is divided by 1062? 1050 Calculate the remainder when 56249 is divided by 3103. 395 What is the remainder when 17040 is divided by 589? 548 What is the remainder when 1309 is divided by 41? 38 What is the remainder when 1211496 is divided by 257? 255 What is the remainder when 25099 is divided by 965? 9 What is the remainder when 1707 is divided by 1668? 39 Calculate the remainder when 598322 is divided by 101. 99 Calculate the remainder when 9304 is divided by 121. 108 Calculate the remainder when 8327 is divided by 556. 543 What is the remainder when 8883 is divided by 112? 35 Calculate the remainder when 36861 is divided by 208. 45 Calculate the remainder when 132445 is divided by 75. 70 What is the remainder when 2162022 is divided by 524? 522 What is the remainder when 57809 is divided by 13? 11 Calculate the remainder when 89952 is divided by 151. 107 Calculate the remainder when 11606 is divided by 15. 11 What is the remainder when 952 is divided by 95? 2 What is the remainder when 39822 is divided by 9948? 30 Calculate the remainder when 404950 is divided by 359. 357 What is the remainder when 591579 is divided by 53? 46 Calculate the remainder when 778 is divided by 443. 335 Calculate the remainder when 7544 is divided by 14. 12 What is the remainder when 28696 is divided by 62? 52 What is the remainder when 636 is divided by 580? 56 What is the remainder when 1823 is divided by 234? 185 Calculate the remainder when 66406 is divided by 836. 362 What is the remainder when 3426 is divided by 264? 258 Calculate the remainder when 54287 is divided by 13. 12 What is the remainder when 352107 is divided by 13041? 0 What is the remainder when 308078 is divided by 71? 9 Calculate the remainder when 208398 is divided by 5. 3 Calculate the remainder when 15523 is divided by 5. 3 What is the remainder when 2958 is divided by 1531? 1427 Calculate the remainder when 94718 is divided by 47349. 20 Calculate the remainder when 37250 is divided by 1864. 1834 Calculate the remainder when 3628 is divided by 1157. 157 Calculate the remainder when 22020 is divided by 107. 85 What is the remainder when 79420 is divided by 36? 4 What is the remainder when 298359 is divided by 1530? 9 Calculate the remainder when 3891 is divided by 258. 21 What is the remainder when 102101 is divided by 66? 65 What is the remainder when 188145 is divided by 142? 137 What is the remainder when 5220 is divided by 31? 12 What is the remainder when 999 is divided by 566? 433 Calculate the remainder when 700 is divided by 94. 42 Calculate the remainder when 1424 is divided by 177. 8 What is the remainder when 126489 is divided by 139? 138 What is the remainder when 222833 is divided by 64? 49 Calculate the remainder when 1794703 is divided by 33. 31 Calculate the remainder when 35833 is divided by 164. 81 What is the remainder when 17886 is divided by 23? 15 What is the remainder when 8132 is divided by 354? 344 Calculate the remainder when 269651 is divided by 144. 83 Calculate the remainder when 4099 is divided by 903. 487 What is the remainder when 248636 is divided by 663? 11 What is the remainder when 11636 is divided by 1162? 16 What is the remainder when 3249 is divided by 425? 274 What is the remainder when 547731 is divided by 34? 25 What is the remainder when 1004932 is divided by 53? 52 Calculate the remainder when 2944 is divided by 404. 116 What is the remainder when 20081 is divided by 2008? 1 Calculate the remainder when 1263 is divided by 11. 9 What is the remainder when 43782 is divided by 63? 60 Calculate the remainder when 2617 is divided by 20. 17 Calculate the remainder when 12771 is divided by 6354. 63 What is the remainder when 437722 is divided by 145902? 16 What is the remainder when 1757 is divided by 70? 7 Calculate the
{ "pile_set_name": "DM Mathematics" }
(a + 1) Suppose -5*t**2 - 215*t + 3640 = 0. Calculate t. -56, 13 Factor 3*g**2 + 3*g. 3*g*(g + 1) What is k in -k**2/5 + 4206*k/5 - 4422609/5 = 0? 2103 Solve -2*x**5/15 + 554*x**4/15 - 12508*x**3/5 - 23296*x**2/3 - 15680*x/3 = 0. -2, -1, 0, 140 Factor -841*u**2/6 - 58*u/3 - 2/3. -(29*u + 2)**2/6 Factor l**5/3 + 4*l**4/3 - 35*l**3/3 - 2*l**2 + 48*l. l*(l - 3)**2*(l + 2)*(l + 8)/3 What is o in o**5/3 - 11*o**4/6 - 17*o**3/2 + 46*o**2/3 - 16*o/3 = 0? -4, 0, 1/2, 1, 8 Suppose b**2/6 - 253*b/3 + 64009/6 = 0. What is b? 253 Factor -q**2/3 + 5*q/3. -q*(q - 5)/3 Factor -5*k**3 - 25*k**2 + 110*k + 280. -5*(k - 4)*(k + 2)*(k + 7) Find t such that 2*t**2 - 52*t/3 + 32/3 = 0. 2/3, 8 Let 2*a**4/11 + 542*a**3/11 + 47430*a**2/11 + 1193562*a/11 - 12869712/11 = 0. What is a? -93, 8 Solve p**3 + 31*p**2 - 65*p + 33 = 0. -33, 1 Find x, given that 2*x**5/13 + 368*x**4/13 + 1444*x**3/13 + 712*x**2/13 - 1446*x/13 - 1080/13 = 0. -180, -3, -1, 1 Factor -n**4/2 - 9*n**3 + 80*n**2 - 183*n + 225/2. -(n - 3)**2*(n - 1)*(n + 25)/2 Factor 4*w**4 + 4*w**3 - 40*w**2 + 32*w. 4*w*(w - 2)*(w - 1)*(w + 4) Find l such that 5*l**4 - 35*l**3 + 20*l**2 + 60*l = 0. -1, 0, 2, 6 Factor -u**2 - 216*u - 215. -(u + 1)*(u + 215) Determine o, given that -2*o**3 - 107*o**2/2 - 341*o/2 + 46 = 0. -23, -4, 1/4 Solve -2*m**4/7 + 8*m**3/7 + 6*m**2/7 - 4*m + 16/7 = 0. -2, 1, 4 Factor 22*n**3 - 48*n**2 - 58*n + 12. 2*(n - 3)*(n + 1)*(11*n - 2) Factor -2*l**3/3 - 8*l**2/3 + 440*l/3 + 896/3. -2*(l - 14)*(l + 2)*(l + 16)/3 Suppose -9*a**4/7 - 507*a**3/7 - 162*a**2 + 12*a/7 + 648/7 = 0. Calculate a. -54, -2, -1, 2/3 Factor -78*t**3/11 + 628*t**2/11 - 32*t/11. -2*t*(t - 8)*(39*t - 2)/11 Factor 3*u**5 - 17*u**4 + 35*u**3 - 31*u**2 + 10*u. u*(u - 2)*(u - 1)**2*(3*u - 5) Find i such that 4*i**2/7 + 1592*i/7 + 158404/7 = 0. -199 Find g such that -g**5/4 - g**4/2 + g**3/4 + g**2/2 = 0. -2, -1, 0, 1 Suppose -k**3 - 308*k**2 - 1519*k - 1212 = 0. What is k? -303, -4, -1 Factor 2*x**2/17 - 208*x/17 + 5408/17. 2*(x - 52)**2/17 What is h in -14*h**5/9 - 6*h**4 + 2*h**3/9 + 134*h**2/9 + 4*h/3 - 80/9 = 0? -20/7, -2, -1, 1 Solve -2*p**4 + 2*p**3 + 6*p**2 - 2*p - 4 = 0. -1, 1, 2 Factor 4*d**5 + 136*d**4 + 260*d**3 + 128*d**2. 4*d**2*(d + 1)**2*(d + 32) Factor 5*a**2 - 79*a - 102. (a - 17)*(5*a + 6) What is h in -3*h**4 - 807*h**3 - 73656*h**2 - 2392896*h - 10222080 = 0? -88, -5 Let -2*v**2 - 26*v - 24 = 0. Calculate v. -12, -1 Let 20*l**4 + 92*l**3 - 300*l**2 + 244*l - 56 = 0. Calculate l. -7, 2/5, 1 Solve 4*i**2 + 28*i + 48 = 0 for i. -4, -3 What is l in 2*l**2 + 768*l + 73728 = 0? -192 Find x, given that 2*x**3/9 + 16*x**2/9 + 22*x/9 - 40/9 = 0. -5, -4, 1 Determine l, given that l**3 + 4*l**2 + l - 6 = 0. -3, -2, 1 Let -2*d**3/11 - 6*d**2/11 + 794*d/11 + 798/11 = 0. Calculate d. -21, -1, 19 Factor -d**2 + 10*d. -d*(d - 10) Solve 10*u**5 - 22*u**4 - 26*u**3 + 46*u**2 + 32*u - 8 = 0. -1, 1/5, 2 Factor 4*t**5 + 64*t**4 + 168*t**3 + 160*t**2 + 52*t. 4*t*(t + 1)**3*(t + 13) Find q, given that -10*q**4 - 1346*q**3/5 - 9642*q**2/5 - 1534*q + 676/5 = 0. -13, -1, 2/25 Find z, given that z**4/2 + 11*z**3/2 + 29*z**2/2 - 35*z/2 - 75 = 0. -5, -3, 2 Factor -5*i**4 + 145*i**3 - 390*i**2 - 20*i + 520. -5*(i - 26)*(i - 2)**2*(i + 1) Factor -a**4 + 4*a**3 + a**2 - 4*a. -a*(a - 4)*(a - 1)*(a + 1) What is g in 3*g**4 + 84*g**3 - 3*g**2 - 84*g = 0? -28, -1, 0, 1 Factor -n**5/7 - 4*n**4/7 - 5*n**3/7 - 2*n**2/7. -n**2*(n + 1)**2*(n + 2)/7 Factor -s**3/3 - 5*s**2/3. -s**2*(s + 5)/3 Solve 4*k**2 + 596*k - 600 = 0 for k. -150, 1 Let 18*d**5/19 + 96*d**4/19 + 80*d**3/19 - 164*d**2/19 - 66*d/19 + 36/19 = 0. Calculate d. -3, -2/3, 1/3, 1 Determine o, given that 5*o**5 - 120*o**4 + 270*o**3 + 920*o**2 + 525*o = 0. -1, 0, 5, 21 Factor 4*x**4 - 28*x**3 - 836*x**2 + 7260*x. 4*x*(x - 11)**2*(x + 15) Find h such that -2*h**5/9 + 4*h**4/3 - 14*h**3/9 - 4*h**2/3 + 16*h/9 = 0. -1, 0, 1, 2, 4 Determine a, given that 66*a**5/13 - 1178*a**4/13 + 480*a**3 - 680*a**2 + 4224*a/13 - 512/13 = 0. 2/11, 2/3, 1, 8 Find t, given that 3*t**2 + 3*t - 18 = 0. -3, 2 Determine z, given that -20*z**3 + 7132*z**2 - 637952*z + 380208 = 0. 3/5, 178 Factor z**2/2 + 245*z/2 + 122. (z + 1)*(z + 244)/2 Solve -p**2/4 - 5*p/4 = 0 for p. -5, 0 Factor g**5/7 - 5*g**4/7. g**4*(g - 5)/7 Factor -2*o**4/19 + 74*o**3/19. -2*o**3*(o - 37)/19 Factor -f**2/2 + 5463*f/10 + 1093/5. -(f - 1093)*(5*f + 2)/10 Factor 3*m**4 - 225*m**3/2 + 2691*m**2/2 - 8619*m/2 - 19773/2. 3*(m - 13)**3*(2*m + 3)/2 Let -4*g**4/3 + 30*g**3 - 122*g**2/3 - 28*g = 0. What is g? -1/2, 0, 2, 21 What is u in 2*u**5/7 - 72*u**4/7 - 344*u**3/7 + 960*u**2/7 = 0? -6, 0, 2, 40 Let 63*f**5/4 - 93*f**4 + 180*f**3 - 108*f**2 - 12*f = 0. What is f? -2/21, 0, 2 Solve -h**2/2 + 137*h/2 = 0. 0, 137 Find y, given that 4*y**2/3 - 24*y - 160/3 = 0. -2, 20 Solve -4*o**2 + 116*o - 216 = 0. 2, 27 Find l, given that -4*l**5 + 704*l**4 - 33424*l**3 + 196416*l**2 + 1209600*l + 1354752 = 0. -2, 12, 84 Determine h, given that 15*h**3 + 73*h**2 - 220*h + 28 = 0. -7, 2/15, 2 Let 2*x**2 + 120*x + 118 = 0. Calculate x. -59, -1 Factor -2*x**5/13 - 2*x**4/13 + 64*x**3/13 + 272*x**2/13 + 32*x + 224/13. -2*(x - 7)*(x + 2)**4/13 Factor -d**4/5 - 2*d**3 - 13*d**2/5 + 12*d - 36/5. -(d - 1)**2*(d + 6)**2/5 Find o, given that -2*o**4 + 37*o**3 - 112*o**2 + 107*o - 30 = 0. 1/2, 1, 2, 15 Suppose 2*b**2/9 + 2*b/9 - 4/9 = 0. What is b? -2, 1 Factor -4*y**5 + 68*y**4. -4*y**4*(y - 17) Find p, given that 4*p**2 - 364*p - 368 = 0. -1, 92 Factor i**2 - 251*i - 252. (i - 252)*(i + 1) Solve -3*u**3/2 - 33*u**2/2 + 141*u - 204 = 0. -17, 2, 4 Determine y, given that 2*y**3 - 38*y**2/5 + 22*y/5 + 6/5 = 0. -1/5, 1, 3 Factor 20*n**3 + 8045*n**2 - 14150*n - 4040. 5*(n - 2)*(n + 404)*(4*n + 1) Solve 3*o**5/2 - 51*o**4 - 225*o**3/2 + 156*o**2 + 222*o - 216 = 0. -2, 1, 36 Factor 4*b**3/3 - 136*b**2/3 + 380*b/3 - 248/3. 4*(b - 31)*(b - 2)*(b - 1)/3 Determine v, given that 4*v**4 + 28*v**3 - 12*v**2 - 92*v - 56 = 0. -7, -1, 2 Factor -46*c**2/7 + 52*c + 32/7. -2*(c - 8)*(23*c + 2)/7 Find j, given that -2*j**4 + 6*j**3 + 54*j**2 - 118*j + 60 = 0. -5, 1, 6 What is g in g**4/4 + g**3/2 - 5*g**2/4 - 3*g/2 = 0? -3, -1, 0, 2 Factor 4*m**2 - 16*m - 660. 4*(m - 15)*(m + 11) Factor 4*p**5 - 16*p**4 - 20*p**3. 4*p**3*(p - 5)*(p + 1) Suppose b**4/2 + 25*b**3/2 + 109*b**2/2 - 297*b/2 + 81 = 0. Calculate b. -18, -9, 1 Suppose -4*u**4 + 148*u**3 + 16*u**2 - 592*u = 0. Calculate u. -2, 0, 2, 37 Factor 3*y**4 + 144*y**3 + 1725*y**2 - 144*y - 1728. 3*(y - 1)*(y + 1)*(y + 24)**2 Factor -7*n**3/6 - 19*n**2/6 - 4*n/3 + 2/3. -(n + 1)*(n + 2)*(7*n - 2)/6 Factor -b**2 - 327*b. -b*(b + 327) Suppose -x**2/5 + 314*x/5 + 2907/5 = 0. Calculate x. -9, 323 Let k**3 + 40*k**2 + 308*k - 1936 = 0. Calculate k. -22, 4 Factor 2*y**4/15 - 4*y**3/3. 2*y**3*(y - 10)/15 Find l such that l**3 + 96*l**2 + 2205*l - 4802 = 0. -49, 2 What is b in 4*b**2 - 1656*b + 171396 = 0? 207 Find w, given that -w**3 + 28*w**2 - 27*w = 0. 0, 1, 27 Factor -x**2/5 + 3*x/5. -x*(x - 3)/5 Find f such that f**2 + 36*f - 37 = 0. -37, 1 Suppose -v**2 + 78*v - 152 = 0. Calculate v. 2, 76 Factor -4*p**3 + 48*p**2 + 256*p. -4*p*(p - 16)*(p + 4) Solve 4*b**4 + 68*b**3 - 228*b**2 + 236*b - 80 = 0. -20, 1 What is a in -a**5/4 - 15*a**4/4 = 0? -15, 0 Solve -289*l**3/2 + 391*l**2 - 222*l + 36 = 0 for l. 6/17, 2 Factor 2*p**3/5 + 2*p**2/5 - 2*p + 6/5. 2*(p - 1)**2*(p + 3)/5 Let h**2/5 + 274*h/5 = 0. What is h? -274, 0 Let -3*w**5 + 21*w**4 + 207*w**3 + 363*w**2 - 120*w - 468 = 0. Calculate w. -3, -2, 1, 13 Solve -c**4/3 + 301*c**3/3 - 299*c**2 + 895*c/3 - 298/3 = 0 for c. 1, 298 Factor -2*a**3 - 1322*a**2 + 3984*a. -2*a*(a - 3)*(a + 664) Factor -2*y**2/7 + 128*y/7 + 544/7. -2*(y - 68)*(y + 4)/7 Factor a**3 - 42*a**2 + 540*a - 1944. (a - 18)**2*(a - 6) Factor 20*s**3 - 884*s**2 + 1000*s + 1376. 4*(s - 43)*(s - 2)*(5*s + 4) Factor 2*k**3 - 606*k**2 + 46206*k - 45602. 2*(k - 151)**2*(k - 1) Factor -d**5/7 - 75*d**4/7 - 2160*d**3/7 - 29160*d**2/7 - 174960*d/7 - 314928/7. -(d + 3)*(d + 18)**4/7 Suppose -b**3 + 15*b**2 + b - 15 = 0. Calculate b. -1, 1, 15 What is r in 3*r**2/5 - 96*r/5 + 93/5 = 0? 1, 31 Factor 4*p**2 + 43488*p + 118200384. 4*(p + 5436)**2 Find q such that 2*q**3/9 + 44*q**2/9 - 94*q/9 + 16/3 = 0. -24, 1 Factor -2*l**5 + 20*l**4 + 48
{ "pile_set_name": "DM Mathematics" }
+ r. Is b a prime number? False Suppose 33*c - 505099 = 43427. Is c a prime number? False Let d = -7 + 12. Suppose f + f + 3*k - 453 = 0, 0 = 4*f - d*k - 851. Is f prime? False Let q = -5 - -2. Let p(c) = -c**3 - 3*c**2 + 4. Let y be p(q). Suppose -y*j = 3*o - 327 - 137, j - 129 = -4*o. Is j a prime number? True Suppose 52*q + 18 = 58*q. Suppose -4*x + 5*h = -1205, -x - h + 299 = -q*h. Is x prime? False Let z(w) = w**3 + 13*w**2 + 7*w + 2. Suppose 0 = b - 0*b + 9. Let i be z(b). Suppose 5*v - 482 - i = 0. Is v prime? True Let d(a) = -22 - 4 + 13 + 70*a. Let l be ((-64)/(-20))/(2/5). Is d(l) a composite number? False Let g be (1 + -6)*(-5 - -4). Is 8/(-36) - ((-70850)/18)/g prime? True Let l(y) = -102*y - 19. Is l(-5) composite? False Let x be 28/4 + 2 + -4. Is (x - 0)*(-21)/(-15) composite? False Suppose -4*a = -4*x + 1977 + 271, -2810 = 5*a - x. Let m = 1959 + a. Is m a composite number? True Suppose 0 = -3*m - 6, 17386 = -3*r + 5*r - 2*m. Let u = r - -1665. Is (-2)/3 - u/(-36) prime? False Let k = 4761 - 2824. Suppose -3*v = 3*a - 1932, 3*a - k = -0*v - 2*v. Is a a composite number? True Let i = -3 - -5. Suppose i*f - 2 = 4. Suppose -2*w - 3*w - f*q = -262, -5 = 5*q. Is w prime? True Let b(x) = 2*x + 34 - 15*x - 10*x. Is b(-19) prime? False Let j(w) = 29*w**2 - 2*w + 3. Is j(2) prime? False Suppose 33364 = 5*j - 2*k - 12089, 2*j = 2*k + 18180. Is j a prime number? True Let n = 2922 + 1549. Is n composite? True Is 94/(-4)*(3 - (-6 - -91)) composite? True Suppose -p - 2*a = -4*a - 8, 0 = 2*p - 3*a - 13. Let v(x) = -14*x - 4 - x**3 + 6*x**p + 21*x - 3 + 2*x**2. Is v(7) prime? False Suppose -2*h + 2*r = 724, 6*h + 5*r = h - 1780. Suppose -2*a - 3*x - 1002 = 3*a, a + 204 = 3*x. Let k = a - h. Is k a prime number? False Let u(n) = 9*n**2 - 45*n - 7. Is u(-13) composite? False Suppose 6814 = -3*l + c, -2*c + 7*c - 2248 = l. Let u = -289 + 1507. Let p = u - l. Is p a composite number? False Let s = 21 + -16. Suppose -j = -s*f + 2917, 6*f - f - 3*j = 2921. Is f a prime number? False Let b be (4 + -5)*(1 + -4). Let z(r) = -11*r**3 + 2*r. Let x be z(b). Is (3 - 0) + -3 - x composite? True Let l be (-18)/(-30) + 3/(-5). Suppose -5*d = -l*d - 15. Suppose -622 = d*w - 5*w. Is w a prime number? True Let p = 4656 - 757. Is p a prime number? False Suppose -3809 = -m + 2*z, 0 = -6*z + 19 + 5. Is m prime? False Let z(l) = -l**3 - 8*l**2 + 14*l - 1. Suppose 6*m + 65 = -7. Is z(m) a prime number? False Let n(m) = 2*m**2 - 9*m + 10. Let z be n(5). Is -3*(0 - 265/z) a prime number? True Let d(o) = -83*o - 15. Is d(-16) a prime number? False Suppose -2*z = 5*m - 4*z - 7437, -z = -5*m + 7441. Suppose 3*c + m = 5*d - 3381, 5*c = 2*d - 1929. Is d prime? True Suppose 4*a - 2*a = -4*h - 1902, 2*a = 5*h + 2391. Let w = 916 + h. Is w a composite number? False Let d be ((3/(-6)*0)/2)/(-2). Suppose -13*g + 0*g + 19253 = d. Is g a composite number? False Let a(h) = 76*h**3 - 2*h**2 + 11. Is a(5) composite? False Suppose 5*f + 1351 + 2212 = 3*p, 0 = -p - 4*f + 1199. Is p composite? True Suppose 4*h = 2*m + 884, 0 = 3*m + 3*h - 0*h + 1371. Let v = 1417 + m. Is v prime? False Suppose -5*v + 54485 = o + 4*o, 4*o + 5*v - 43591 = 0. Is o/8 - (-3)/(-12)*3 prime? True Let a(d) = d**2 + 8*d - 5. Let z = -19 - -16. Let g(h) = -2*h**2 - 16*h + 10. Let b(r) = z*g(r) - 5*a(r). Is b(6) composite? False Let x(q) = -q**3 - 5*q**2 + 6*q + 2. Let f be x(-6). Suppose 564 = f*j - 2*z, -j + z + 267 = -3*z. Is j composite? True Let c = -76 + 313. Suppose -m = -c - 1160. Is m a prime number? False Suppose -5*h = -5*l - 3878 + 19228, 0 = 2*l - h - 6141. Is l composite? True Suppose 3*a = 2*a + 16. Suppose 2779 = 3*g - 4*k, -8*k - a = -4*k. Is g a composite number? True Let m(p) = -p + 13. Let y be m(17). Is 439*1*(-5)/(-1 + y) prime? True Is (-1)/((11/131549)/(1/(-1))) prime? True Let d be ((-18)/(-15))/(1/15). Suppose f + 2*f = d. Suppose 0 = -3*q - f, 2*r - 2*q - 819 = -3*r. Is r a composite number? False Suppose -60*y + 16*y = -417164. Is y a composite number? True Suppose 5559 = x - 7510. Is x prime? False Suppose -1762 - 650 = -12*r. Is r prime? False Is (-1*831/(-15))/((-3)/(-105)) prime? False Suppose 5*a = 5*x - 4*x - 11, -x + a = -15. Suppose -7*g = -x*g + 2763. Is g composite? False Is (-20266)/6*(2 - -7)/(-3) a composite number? False Let v(q) = -36*q**3 - 8*q**2 - 2*q + 1. Is v(-3) a composite number? False Let t(g) = -5*g**2 + 3 + 16*g**2 + 6*g**2 + 7*g - 4*g. Is t(-5) prime? False Let c(f) = 2*f - 8. Let n be c(6). Suppose -n*x - 3*x + 12551 = 0. Suppose x = 4*k - 3*d, -d = 3*k + 3*d - 1351. Is k a prime number? True Suppose 0 = 3*l - 2*h + 1192 + 229, -4*l - 3*h = 1923. Let w = 724 + l. Is w a composite number? True Suppose 0 = -15*r + 7*r + 48. Is (-142)/(-3) + 4/r + -2 a composite number? True Let x(h) = -h**3 + 20*h**2 + 2*h - 24. Let y be x(20). Is (176/y)/((-2)/(-10)) prime? False Suppose 6314 = 2*m + 4*o, -3*m + o + 3*o = -9471. Suppose -4*h = c - m, -3*h + 788 = -2*h - c. Is h a composite number? True Let x be 48/(-120) - (-12)/5. Suppose -x*c + 971 = y + c, c + 1942 = 2*y. Is y a prime number? True Let r be (-4)/(-16) + (-1202)/8. Let g(d) = 5*d**3 + d**2 - 6*d + 4. Let m be g(-3). Let p = m - r. Is p composite? True Suppose -10*x + 13218 = -4*x. Is x composite? False Let a = -100 - -105. Is 4/(-10) - (-3957)/a a composite number? True Let h = -903 + 1444. Is h composite? False Let s be (-2 + 1 + -365)*1. Let n = s - -160. Let b = n + 463. Is b a composite number? False Let b = 68 - 62. Let t(c) = 284*c - 31. Is t(b) a composite number? True Suppose 5*d = 5*z + 40, 3*d - 4*z = 11 + 18. Suppose d*h - 2*h = 2. Suppose 0 = v - 5*i - 28, -v + h*v + 3*i = 68. Is v composite? False Let g(l) = 216*l + 3. Let a(h) = 1. Let j(i) = -3*a(i) - g(i). Let d be j(-13). Suppose 0 = 5*u - d - 563. Is u a composite number? False Let q(y) = -y**3 - 4. Let b be q(0). Let o be (-4 + 2)/(b/8). Suppose -4528 = -o*l - 4*s, -3*s - 458 - 5242 = -5*l. Is l prime? False Let k(b) = -b**3 + 15*b**2 + 20*b - 25. Is k(-24) a prime number? False Let k = -150 - -345. Suppose 0 = -2*s + 2, -5*s + k = -4*h + 518. Let b = h + 1. Is b prime? True Suppose g - 3*v + 6*v = 21689, -5*g + 4*v = -108521. Is g prime? True Let z = -159096 + 223205. Is z a composite number? False Suppose -6232 = -o + 3*m, -2*m = -2*o - 3*o + 31186. Suppose 2*s + 2*s = -2*z + 3110, -s - o = -4*z. Is z prime? True Let b = -21 + 25. Let p be ((-24)/((-16)/b))/1. Is -3 + 37 - 18/p a composite number? False Let g be 2/(-11) + (-3120)/143. Is (-8)/(-44) + (-4462)/g composite? True Let z be 18/45*5*1. Suppose -5*q + 701 - 144 = -4*w, -z*q + 3*w = -220. Is q a prime number? True Is 3 - (-45286 - (2 - (2 + 0))) prime? True Suppose -4*u = s - 74995, -5*u = 3*s - 124713 - 100300. Is s a composite number? False Let r(l) = -l**2 - 4*l + 3. Let q be r(-4). Suppose -4*p + 388 = 2*i, -q*p + 381 = 2*i + 90. Is p prime? True Let q(c) = c + 2. Suppose -10*d + 3 = -7*d. Suppose x = -4*j + 12, -2*j = -x - d + 7. Is q(x) composite? True Suppose -20 = -5*u + 2*a - 0*a, -4*u - 3*a = 7. Suppose 0*m = -u*m + 10. Suppose m*g - 10*g = -665. Is g a prime number? False Let s(h) be the second derivative of -3*h**5/20 + 5*h**4/12 + 7*h**3/6 + 14*h**2 + 34*h. Is s(-7) a composite number? True Let k = 24 + -20. Suppose 0 = 4*s + 8, -2*q - k*s + 204 + 64 = 0. Suppose -x - 2*g = -3*g - q, 3*g = -5*x + 714. Is x prime? False Let i(g) = -121*g + 9. Suppose 0 = 4*m + m + 10. Is i(m) a prime number? True Suppose -2247 - 48473 = -5*j. Suppose -3*f - 2*s + j = 0, -f - 2*f + 10119 = -3*s. Suppose 5*x - f = -x. Is x a composite number? False Suppose -11*u = 833 - 31270. Suppose 0 = -4*v - 5*w + 5531, -2*v + 4*w + u = 7*w. Is v composite? True Let f be 2/(-2) + 1 + 0/(-3). Suppose 2*p - 698 = -2*r + 138, -3*r - 4*p + 1257 = f. Is r a composite number? True Let s(f) = -332*f - 41. Is s(-27) composite? False Let i be 3/(-5) + (-396)/(-60). Suppose -c + i*c + 405 = 0. Is (-14643)/c - 4/(-18) prime? True Let n be 3/((-4)/10784*6). Let k = -2318 - n. Is -2*(-1 - k/(-4)) prime? True Let p = -161 + 275. Suppose -o + 575 = -p. Is o composite? True Let s = 59 + -58. Is (2051/21)/((1 + s)/6) prime? True Let h(v) = 2*v**2 + 20*v - 2. Let w be h(-10). Is (w/(-2 - 0))/((-35)/(-41755)) a com
{ "pile_set_name": "DM Mathematics" }
of 11185 and 52578448? 2237 Calculate the highest common divisor of 203604 and 4028. 76 Calculate the highest common factor of 230952 and 328. 8 What is the greatest common factor of 163432 and 22816? 248 What is the highest common factor of 1275182 and 492? 82 Calculate the highest common factor of 10330819 and 139641. 523 Calculate the highest common divisor of 13621472 and 5311. 113 What is the greatest common divisor of 3934100 and 840? 20 Calculate the greatest common factor of 8734620 and 7660. 20 What is the greatest common factor of 252 and 54063786? 42 Calculate the highest common divisor of 8083 and 4103627. 59 Calculate the greatest common divisor of 88 and 87704. 8 Calculate the greatest common divisor of 1698630 and 375. 15 What is the greatest common factor of 1835950 and 89790? 730 Calculate the greatest common divisor of 73152 and 1345311. 1143 What is the highest common factor of 33888894 and 342? 114 What is the highest common factor of 3856 and 115712776? 1928 What is the highest common divisor of 854 and 288979082? 854 What is the highest common factor of 16037 and 49329? 203 Calculate the highest common divisor of 22353408 and 37800. 1512 What is the greatest common factor of 1140427 and 143803? 769 What is the greatest common factor of 515 and 139552743? 103 Calculate the greatest common factor of 30597354 and 18. 18 What is the highest common divisor of 66 and 93939186? 66 What is the highest common divisor of 332 and 24032? 4 What is the highest common factor of 3 and 152458? 1 Calculate the highest common factor of 2020 and 5180780. 20 Calculate the highest common factor of 255856537 and 3628. 907 What is the highest common factor of 265058255 and 7? 7 What is the highest common divisor of 176145216 and 2496? 2496 What is the greatest common divisor of 37366968 and 24? 24 What is the greatest common factor of 58912 and 4725847? 1841 What is the highest common divisor of 11 and 230830721? 11 Calculate the highest common factor of 2657125 and 757625. 3625 What is the highest common divisor of 14139641 and 23276? 529 Calculate the highest common divisor of 25648 and 766234. 3206 What is the highest common factor of 24 and 33722496? 24 What is the greatest common factor of 403005 and 519295? 2005 Calculate the highest common divisor of 2560 and 22576000. 640 What is the greatest common factor of 672096 and 10884? 12 What is the highest common divisor of 12558272 and 64? 64 What is the greatest common divisor of 117056 and 17728? 64 Calculate the highest common divisor of 8326 and 101000534. 362 What is the greatest common factor of 50 and 73198480? 10 Calculate the highest common divisor of 6831 and 1807623. 27 What is the greatest common divisor of 182872185 and 135? 15 What is the greatest common divisor of 2497085 and 26533? 157 Calculate the greatest common factor of 8637189 and 183117. 1023 What is the highest common factor of 114 and 2369984? 38 What is the highest common factor of 13480985 and 1855? 35 Calculate the highest common factor of 526635 and 14715. 135 Calculate the greatest common divisor of 543 and 28650852. 543 Calculate the greatest common factor of 3397215 and 464830. 4945 What is the highest common factor of 78756862 and 152? 38 What is the greatest common factor of 6 and 8275746? 6 Calculate the highest common divisor of 1420 and 3312520. 20 What is the greatest common divisor of 247676742 and 3933? 3933 Calculate the greatest common divisor of 10085 and 23191466. 2017 What is the highest common divisor of 64 and 1972298? 2 Calculate the highest common factor of 751050 and 15300. 450 What is the greatest common divisor of 3071658 and 236? 118 Calculate the highest common divisor of 30756 and 60324. 132 What is the highest common divisor of 109670554 and 86? 86 What is the greatest common factor of 255 and 11486271? 51 What is the greatest common factor of 86350 and 129250? 550 Calculate the greatest common factor of 8195439 and 45570. 651 What is the highest common divisor of 6779745 and 3285? 45 What is the greatest common divisor of 80 and 3394660? 20 Calculate the greatest common divisor of 475495 and 488. 61 Calculate the greatest common factor of 315909 and 730739. 3191 What is the highest common factor of 5512138 and 1? 1 Calculate the highest common divisor of 2147958 and 6642. 162 What is the greatest common divisor of 18290 and 17784370? 590 What is the greatest common factor of 7607078 and 906? 302 What is the greatest common factor of 1030 and 2584080? 10 Calculate the greatest common factor of 14 and 893690042. 14 Calculate the greatest common factor of 4378745 and 280. 35 Calculate the highest common factor of 15203 and 4393. 23 Calculate the greatest common divisor of 5753085120 and 18. 18 Calculate the greatest common factor of 297692 and 14402. 38 What is the greatest common factor of 1107027 and 96534? 1557 Calculate the highest common factor of 513 and 5251201. 19 What is the greatest common factor of 1199 and 306473883? 109 What is the highest common factor of 353652872 and 302? 302 What is the greatest common factor of 5051547 and 7599? 447 Calculate the greatest common factor of 239880 and 66360. 120 Calculate the highest common divisor of 3903 and 40102024. 1301 What is the greatest common factor of 1091759 and 10871? 1553 What is the highest common factor of 185 and 770331305? 185 What is the highest common divisor of 766267670 and 70? 70 Calculate the highest common divisor of 91002 and 2436. 174 Calculate the greatest common divisor of 5 and 5496190. 5 Calculate the greatest common factor of 254065 and 2805085. 5185 Calculate the greatest common factor of 106250 and 48931250. 6250 Calculate the greatest common factor of 355 and 7950793. 71 What is the highest common factor of 3965423 and 4204? 1051 Calculate the highest common divisor of 851 and 33234103. 851 What is the highest common factor of 528451595 and 315? 35 What is the greatest common divisor of 4754268 and 828? 36 Calculate the greatest common factor of 18914250 and 3450. 150 What is the greatest common divisor of 556 and 309767338? 278 What is the greatest common factor of 532 and 335390356? 532 Calculate the greatest common divisor of 5615269 and 209. 11 What is the greatest common divisor of 368 and 124542608? 368 Calculate the highest common divisor of 169752 and 31768. 88 Calculate the greatest common factor of 22864080 and 320. 80 What is the highest common factor of 161109 and 1599? 39 What is the greatest common factor of 1800 and 53544744? 72 What is the highest common factor of 98394902 and 10276? 734 What is the highest common divisor of 465905 and 231770? 2365 What is the highest common factor of 56331 and 2101? 11 What is the highest common divisor of 77608883 and 22? 11 What is the greatest common divisor of 8 and 2655896608? 8 Calculate the greatest common factor of 1362317020 and 10. 10 Calculate the greatest common divisor of 1984380 and 247860. 60 Calculate the greatest common divisor of 3458 and 2636858. 266 Calculate the greatest common divisor of 140900890 and 31. 31 What is the greatest common factor of 184 and 15019736? 184 Calculate the highest common divisor of 27938 and 910046. 458 What is the greatest common divisor of 17008 and 1709872? 16 What is the greatest common divisor of 432881 and 67424? 43 What is the greatest common factor of 39519765 and 54? 27 What is the greatest common factor of 29164084 and 876? 292 What is the greatest common divisor of 11256933 and 1086? 543 What is the highest common divisor of 275 and 3481841? 11 Calculate the highest common divisor of 785721 and 9231. 543 What is the highest common divisor of 169267 and 1855? 7 Calculate the greatest common factor of 33 and 10528713. 3 Calculate the highest common divisor of 81221 and 3227. 7 What is the greatest common factor of 5 and 266946235? 5 Calculate the highest common factor of 336 and 608461. 7 Calculate the highest common factor of 783371 and 218470. 3121 What is the highest common divisor of 77908800 and 120? 120 Calculate the highest common divisor of 93783872 and 1664. 832 Calculate the greatest common factor of 178 and 422389461. 89 Calculate the greatest common factor of 13420 and 270230. 610 Wha
{ "pile_set_name": "DM Mathematics" }
- 1 What is the t'th term of -71015, -142002, -212989, -283976, -354963? -70987*t - 28 What is the u'th term of -99, -235, -423, -663, -955? -26*u**2 - 58*u - 15 What is the c'th term of 8, 18, 0, -58, -168, -342? -2*c**3 - 2*c**2 + 30*c - 18 What is the f'th term of -361, -326, -239, -76, 187, 574, 1109, 1816? 4*f**3 + 2*f**2 + f - 368 What is the o'th term of -6593, -6568, -6495, -6350, -6109, -5748, -5243, -4570? 4*o**3 - 3*o - 6594 What is the o'th term of -878, -1485, -2118, -2777, -3462, -4173, -4910? -13*o**2 - 568*o - 297 What is the j'th term of -2780, -11105, -24972, -44381, -69332? -2771*j**2 - 12*j + 3 What is the w'th term of 207, 850, 1921, 3420, 5347, 7702, 10485? 214*w**2 + w - 8 What is the f'th term of 5005, 9999, 14993, 19987? 4994*f + 11 What is the x'th term of 1042019, 1042015, 1042011, 1042007, 1042003, 1041999? -4*x + 1042023 What is the b'th term of 317, 2506, 8443, 20000, 39049, 67462, 107111, 159868? 312*b**3 + 2*b**2 - b + 4 What is the x'th term of -613, -1138, -1657, -2170, -2677? 3*x**2 - 534*x - 82 What is the w'th term of -7613, -15177, -22725, -30257? 8*w**2 - 7588*w - 33 What is the o'th term of 92, 180, 274, 374, 480, 592, 710? 3*o**2 + 79*o + 10 What is the g'th term of -26152, -26149, -26144, -26137, -26128, -26117, -26104? g**2 - 26153 What is the r'th term of -11584, -23167, -34750, -46333? -11583*r - 1 What is the p'th term of -897861, -897860, -897859, -897858? p - 897862 What is the m'th term of 953, 327, -299, -925, -1551? -626*m + 1579 What is the r'th term of -22853, -22857, -22865, -22877? -2*r**2 + 2*r - 22853 What is the y'th term of -381, -2908, -9723, -22962, -44761, -77256? -356*y**3 - 8*y**2 - 11*y - 6 What is the s'th term of -134559, -134556, -134553, -134550, -134547, -134544? 3*s - 134562 What is the o'th term of -823, -846, -883, -940, -1023, -1138, -1291, -1488? -o**3 - o**2 - 13*o - 808 What is the m'th term of -147, 23, 307, 705? 57*m**2 - m - 203 What is the c'th term of -1425, -3000, -4575? -1575*c + 150 What is the j'th term of 664202, 1328409, 1992616, 2656823? 664207*j - 5 What is the k'th term of -281, -968, -1653, -2336, -3017, -3696? k**2 - 690*k + 408 What is the u'th term of 95, 714, 2385, 5630, 10971? 87*u**3 + 4*u**2 - 2*u + 6 What is the o'th term of 438, 1706, 3812, 6750, 10514, 15098? -o**3 + 425*o**2 + 14 What is the z'th term of -19, -13, -9, -7? -z**2 + 9*z - 27 What is the o'th term of -4, 21, 74, 173, 336, 581? 3*o**3 - 4*o**2 + 16*o - 19 What is the n'th term of 271, 1125, 2549, 4543, 7107? 285*n**2 - n - 13 What is the i'th term of 23038, 23037, 23034, 23029, 23022? -i**2 + 2*i + 23037 What is the m'th term of 13476, 13475, 13474? -m + 13477 What is the o'th term of 11332, 11330, 11328? -2*o + 11334 What is the o'th term of 859662, 859663, 859664, 859665, 859666? o + 859661 What is the z'th term of 37904, 37856, 37808, 37760, 37712? -48*z + 37952 What is the r'th term of 300, 245, 152, 3, -220? -3*r**3 - r**2 - 31*r + 335 What is the q'th term of -174, -758, -1342, -1926, -2510, -3094? -584*q + 410 What is the l'th term of -3656, -7231, -10806, -14381, -17956? -3575*l - 81 What is the y'th term of -22373, -22386, -22409, -22442, -22485, -22538? -5*y**2 + 2*y - 22370 What is the d'th term of -191, -373, -527, -641, -703, -701? 2*d**3 + 2*d**2 - 202*d + 7 What is the q'th term of 38890, 38877, 38860, 38845, 38838, 38845, 38872? q**3 - 8*q**2 + 4*q + 38893 What is the a'th term of -2297, -2295, -2293, -2291, -2289? 2*a - 2299 What is the o'th term of -1, -225, -597, -1117, -1785? -74*o**2 - 2*o + 75 What is the f'th term of -3143, -12756, -28779, -51218, -80079, -115368, -157091? -f**3 - 3199*f**2 - 9*f + 66 What is the n'th term of -33882, -33873, -33852, -33813, -33750, -33657? n**3 + 2*n - 33885 What is the k'th term of 85202, 85205, 85208, 85211? 3*k + 85199 What is the y'th term of 2113, 4279, 6447, 8617, 10789, 12963, 15139? y**2 + 2163*y - 51 What is the c'th term of -2468, -4627, -6786, -8945, -11104? -2159*c - 309 What is the s'th term of 18711, 20293, 21861, 23409, 24931, 26421? -s**3 - s**2 + 1592*s + 17121 What is the z'th term of 164, 709, 1728, 3311, 5548, 8529, 12344, 17083? 15*z**3 + 147*z**2 - z + 3 What is the u'th term of 249, 1034, 2343, 4176? 262*u**2 - u - 12 What is the w'th term of 52, 1356, 4900, 11806, 23196, 40192, 63916, 95490? 187*w**3 - 2*w**2 + w - 134 What is the h'th term of -184, -184, -196, -220? -6*h**2 + 18*h - 196 What is the a'th term of -470, -386, -246, -50, 202, 510? 28*a**2 - 498 What is the g'th term of -17084, -34183, -51306, -68465, -85672? -2*g**3 - 17085*g + 3 What is the q'th term of -67595, -135184, -202773? -67589*q - 6 What is the b'th term of -343545, -687106, -1030683, -1374282, -1717909? -b**3 - 2*b**2 - 343548*b + 6 What is the t'th term of -197, -241, -295, -365, -457, -577? -t**3 + t**2 - 40*t - 157 What is the g'th term of 1679, 3392, 5173, 7058, 9083, 11284? 6*g**3 - 2*g**2 + 1677*g - 2 What is the h'th term of -7227, -8880, -13365, -22098, -36495, -57972, -87945, -127830? -236*h**3 - h - 6990 What is the r'th term of -292, -588, -886, -1186? -r**2 - 293*r + 2 What is the b'th term of 234325, 234331, 234341, 234355, 234373, 234395, 234421? 2*b**2 + 234323 What is the s'th term of -79159, -79149, -79127, -79087, -79023, -78929, -78799, -78627? s**3 + 3*s - 79163 What is the b'th term of 582, 2313, 5200, 9243, 14442, 20797, 28308? 578*b**2 - 3*b + 7 What is the a'th term of -2999, -6097, -9195? -3098*a + 99 What is the d'th term of 12045, 24089, 36133, 48177? 12044*d + 1 What is the m'th term of 1113, 1668, 2609, 3948, 5697, 7868, 10473, 13524? 2*m**3 + 181*m**2 - 2*m + 932 What is the h'th term of -1408, -2818, -4232, -5650, -7072, -8498? -2*h**2 - 1404*h - 2 What is the d'th term of 32264, 32266, 32268, 32270, 32272? 2*d + 32262 What is the a'th term of -675, -728, -781, -834, -887, -940? -53*a - 622 What is the m'th term of 985, 2008, 3031, 4054, 5077? 1023*m - 38 What is the w'th term of 11640, 46715, 105226, 187179, 292580? w**3 + 11712*w**2 - 68*w - 5 What is the o'th term of 2190, 4396, 6662, 9018, 11494, 14120, 16926, 19942? 5*o**3 + 2171*o + 14 What is the s'th term of -462, -483, -526, -597, -702, -847, -1038, -1281? -s**3 - 5*s**2 + s - 457 What is the f'th term of 16716, 33523, 50330? 16807*f - 91 What is the a'th term of -5870, -5744, -5616, -5486, -5354, -5220? a**2 + 123*a - 5994 What is the v'th term of -17, -25, 73, 367, 947, 1903, 3325, 5303? 15*v**3 - 37*v**2 - 2*v + 7 What is the q'th term of 1214, 1187, 1160, 1133, 1106? -27*q + 1241 What is the b'th term of -13269, -26539, -39809, -53079? -13270*b + 1 What is the o'th term of 4130368, 4130370, 4130374, 4130380, 4130388, 4130398? o**2 - o + 4130368 What is the p'th term of 268, -358, -1382, -2798, -4600, -6782? p**3 - 205*p**2 - 18*p + 490 What is the j'th term of -6367, -6355, -6343, -6331, -6319? 12*j - 6379 What is the o'th term of 31869, 255114, 861063, 2041068, 3986481? 31892*o**3 + o - 24 What is the w'th term of 3165, 3239, 3327, 3435, 3569? w**3 + w**2 + 64*w + 3099 What is the y'th term of -35728, -35733, -35738, -35743, -35748? -5*y - 35723 What is the z'th term of 542, 1085, 1642, 2219, 2822, 3457, 4130, 4847? z**3 + z**2 + 533*z + 7 What is the n'th term of -459, -1927, -5421, -11955, -22543, -38199, -59937, -88771? -169*n**3 + n**2 - 288*n - 3 What is the k'th term of 2, 10, 42, 98, 178? 12*k**2 - 28*k + 18 What is the f'th term of 5271, 5724, 6175, 6624? -f**2 + 456*f + 4816 What is the m'th term of -199369, -398739, -598109, -797479? -199370*m + 1 What is the v'th term of -3154, -3155, -3156, -3157? -v - 3153 What is the b'th term of 39951, 79898, 119843, 159786? -b**2 + 39950*b + 2 What is the m'th term of 421, 1508, 3323, 5866? 364*m**2 - 5*m + 62 What is the y'th term of 127, 142, 147, 136, 103? -y**3 + y**2 + 19*y + 108 What is the a'th term of 24439, 48862, 73283, 97702, 122119, 146534? -a**2 + 24426*a + 14 What is the v'th term of 468, 428, 380, 336, 308, 308, 348, 440? 2*v**3 - 16*v**2 - 6*v + 488 What is the m'th term of -6301, -12661, -19017, -25363, -31693? m**3 - 4*m**2 - 6355*m + 57 What is the l'th term of 1645, 1523, 1317, 1027, 653? -42*l**2 + 4*l + 1683 What is the f'th term of 75, 509, 1651, 3855, 747
{ "pile_set_name": "DM Mathematics" }
lilitres? 9495087 What is 3.777101mm in meters? 0.003777101 How many kilograms are there in 3/40 of a tonne? 75 How many milligrams are there in 6/5 of a gram? 1200 How many nanoseconds are there in 0.5985608 weeks? 362009571840000 What is fourty-five quarters of a gram in milligrams? 11250 How many millimeters are there in fourty-five halves of a centimeter? 225 What is three eighths of a week in minutes? 3780 Convert 12691.611us to minutes. 0.00021152685 What is 83280.01 grams in tonnes? 0.08328001 How many millilitres are there in fourty-five halves of a litre? 22500 What is fifty-one fifths of a micrometer in nanometers? 10200 What is 11/2 of a meter in millimeters? 5500 What is 7/18 of a week in minutes? 3920 What is 2.695742um in meters? 0.000002695742 What is 17/2 of a kilometer in meters? 8500 What is 58064.85g in kilograms? 58.06485 What is 3/25 of a century in years? 12 How many micrograms are there in 374791.5mg? 374791500 What is 87/5 of a litre in millilitres? 17400 Convert 82176.3l to millilitres. 82176300 What is 4.305111 kilometers in meters? 4305.111 How many milligrams are there in 360.4344 kilograms? 360434400 How many millilitres are there in 0.1168795l? 116.8795 Convert 288665.6 millennia to centuries. 2886656 What is 3.882171 millimeters in nanometers? 3882171 What is 7.766695l in millilitres? 7766.695 Convert 1890.652ml to litres. 1.890652 How many microseconds are there in 2955.376 days? 255344486400000 How many millimeters are there in 1/10 of a kilometer? 100000 What is 1/4 of a micrometer in nanometers? 250 How many millilitres are there in 7/4 of a litre? 1750 How many kilograms are there in 21/2 of a tonne? 10500 What is one fifth of a gram in milligrams? 200 What is 53/5 of a decade in months? 1272 How many millilitres are there in seventeen quarters of a litre? 4250 How many millilitres are there in 968.7612 litres? 968761.2 How many millilitres are there in 52807.4l? 52807400 How many minutes are there in 3/7 of a week? 4320 What is 1/4 of a micrometer in nanometers? 250 What is 38.80656 litres in millilitres? 38806.56 What is 4484.78um in millimeters? 4.48478 How many years are there in 8.870203 decades? 88.70203 How many centuries are there in 6901.22 millennia? 69012.2 How many nanograms are there in fourty-seven quarters of a microgram? 11750 Convert 86948.42ns to milliseconds. 0.08694842 How many millilitres are there in 1558.088l? 1558088 What is 21/5 of a millennium in centuries? 42 How many millilitres are there in twenty-five halves of a litre? 12500 How many nanometers are there in twenty-five eighths of a micrometer? 3125 How many kilograms are there in one tenth of a tonne? 100 How many meters are there in 1/20 of a kilometer? 50 What is 247298.238s in days? 2.862248125 What is 1.5444792 nanoseconds in hours? 0.000000000000429022 Convert 587367.4um to millimeters. 587.3674 What is 38.69053g in tonnes? 0.00003869053 How many hours are there in eight thirds of a day? 64 What is 5/4 of a kilometer in meters? 1250 How many meters are there in 766.1593km? 766159.3 Convert 2.312354 centuries to years. 231.2354 How many seconds are there in 5/24 of a day? 18000 What is 52.50562 kilograms in nanograms? 52505620000000 What is 0.8636039l in millilitres? 863.6039 How many days are there in 87153.93 hours? 3631.41375 What is seven sixths of a minute in milliseconds? 70000 How many millilitres are there in 53/4 of a litre? 13250 What is five eighths of a hour in seconds? 2250 How many milliseconds are there in 7/25 of a second? 280 How many nanograms are there in 39155.26ug? 39155260 How many years are there in 149394.3 millennia? 149394300 How many millilitres are there in fifteen quarters of a litre? 3750 What is 8.997534nm in meters? 0.000000008997534 How many milligrams are there in 6763.917 tonnes? 6763917000000 How many millilitres are there in one twentieth of a litre? 50 What is 0.0393458 nanometers in kilometers? 0.0000000000000393458 What is five sixths of a decade in months? 100 How many millimeters are there in 7/4 of a meter? 1750 What is 0.0272806 litres in millilitres? 27.2806 How many millilitres are there in 6.856549 litres? 6856.549 How many millilitres are there in 11/4 of a litre? 2750 How many millilitres are there in 7443.96 litres? 7443960 How many micrograms are there in sixty-three eighths of a milligram? 7875 Convert 864.6312km to centimeters. 86463120 How many microseconds are there in five quarters of a millisecond? 1250 How many months are there in 3/32 of a millennium? 1125 What is 13/8 of a century in months? 1950 What is 1/4 of a litre in millilitres? 250 What is 262044.1 centuries in years? 26204410 How many millilitres are there in 7292.403l? 7292403 How many nanograms are there in twenty-one eighths of a microgram? 2625 How many grams are there in 1/4 of a kilogram? 250 What is 6.067697 micrograms in kilograms? 0.000000006067697 How many millilitres are there in 5/4 of a litre? 1250 What is three fifths of a millennium in centuries? 6 How many millilitres are there in 727520.2 litres? 727520200 How many milligrams are there in 615.0789ug? 0.6150789 How many milliseconds are there in 1/4 of a second? 250 Convert 531739.2 minutes to hours. 8862.32 How many kilograms are there in fourty-two fifths of a tonne? 8400 Convert 827.1302 kilometers to nanometers. 827130200000000 What is 8.684634 millennia in months? 104215.608 How many millilitres are there in twenty-five quarters of a litre? 6250 How many centimeters are there in one fifth of a meter? 20 What is thirteen fifths of a meter in millimeters? 2600 What is 2/9 of a day in minutes? 320 How many millilitres are there in 145174.4 litres? 145174400 Convert 63.996 meters to millimeters. 63996 What is 78274.6t in grams? 78274600000 Convert 4995.761 weeks to minutes. 50357270.88 How many grams are there in 8971.729 micrograms? 0.008971729 How many months are there in ten thirds of a decade? 400 How many years are there in 20.442948 months? 1.703579 What is three tenths of a gram in milligrams? 300 How many litres are there in 8.79021 millilitres? 0.00879021 How many millilitres are there in 59039.25 litres? 59039250 What is 21/5 of a micrometer in nanometers? 4200 What is 5/8 of a decade in months? 75 What is three fifths of a milligram in micrograms? 600 How many months are there in ten thirds of a millennium? 40000 How many centuries are there in 3/5 of a millennium? 6 How many nanograms are there in 8918.683kg? 8918683000000000 Convert 98.65887ml to litres. 0.09865887 What is 99.48067 centuries in years? 9948.067 How many years are there in six fifths of a millennium? 1200 How many grams are there in 7.801692kg? 7801.692 What is 0.847409 milligrams in grams? 0.000847409 What is 31452.46 litres in millilitres? 31452460 How many months are there in five sixths of a decade? 100 How many microseconds are there in 73.96207s? 73962070 How many litres are there in 9.31296 millilitres? 0.00931296 How many minutes are there in sixteen ninths of a week? 17920 How many micrometers are there in 1/4 of a centimeter? 2500 How many minutes are there in 2/21 of a week? 960 Convert 35485.8462us to weeks. 0.0000000586736875 What is thirteen fifths of a gram in milligrams? 2600 How many meters are there in 908748.2 micrometers? 0.9087482 What is 1/10 of a litre in millilitres? 100 What is 17/2 of a centimeter in millimeters? 85 What is 7.736278 meters in nanometers? 7736278000 What is seven eighths of a kilometer in meters? 875 How many centimeters are there in 6/25 of a kilometer? 24000 How many millilitres are there in twenty-seven fifths of a litre? 5400 How many minutes are there in 1.5859704s? 0.02643284 Convert 1245.2412 nanoseconds to minutes. 0.00000002075402 What is seventeen halves of a milligram in micrograms? 8500 What is 2844.124 milligrams in tonnes? 0.000002844124 How many seconds are there in 16/15 of a day? 92160 Convert 64131.05um to meters. 0.06413105 How many micrograms are there in thirty-three fifths of a milligram? 6600 What is thirteen fifths of a century in decades? 26 How many grams are there in one twentieth of a tonne? 50000 Convert 8729.611 millilitres to litres. 8.729611 What is 6197.52 years in centuries? 61.9752
{ "pile_set_name": "DM Mathematics" }
of 34096*d**2*o - d*o**2 + 4*d*o - 6*d + 352546645*o**2 wrt d. 68192*d*o - o**2 + 4*o - 6 Find the second derivative of 14727440*y**2*z**2 + 12*y**2*z - y**2 + 334*y*z + 5*y - 21 wrt z. 29454880*y**2 Find the third derivative of -136966143*v**4 - 4480*v**2 + 5331. -3287187432*v What is the third derivative of -661*a*b**3*f**3 + 89*a*b**2*f**3 + a*f*l - 6297*b**3*f*l - 3016*b**2*f**3 - b**2*l wrt b? -3966*a*f**3 - 37782*f*l Find the third derivative of -48528738*p**4 + 2*p**2 + 130*p + 126885 wrt p. -1164689712*p What is the second derivative of -b**2*j**2 + 3*b**2*j + 13776998*b*j**2*m**2 + 2*b*j - 11615146*j*m**2 wrt j? -2*b**2 + 27553996*b*m**2 What is the third derivative of -43*y**2*z**4 - 7935*y**2*z**2 - 3*y**2 + 132898*y*z**3 - y + 2*z**3 - z**2 + 17 wrt z? -1032*y**2*z + 797388*y + 12 Find the third derivative of 13509508*l**3 - 14327786*l**2. 81057048 Differentiate -66850344*w - 57176246 with respect to w. -66850344 What is the derivative of -2*b*v**2*w - 12*b*v**2 - 21021*b*v*w + 222647*v**2 + 76*w wrt w? -2*b*v**2 - 21021*b*v + 76 What is the first derivative of -57011878*q**4 - 145890674? -228047512*q**3 What is the third derivative of 232*b**4 - 2461*b**3 + 2*b**2 + 17320*b - 50 wrt b? 5568*b - 14766 What is the second derivative of 1757551*l*w**2*z**3 - 14*l*w**2 - 54368321*l*w*z - 2*w**2*z**2 + 2*w*z**3 + w wrt w? 3515102*l*z**3 - 28*l - 4*z**2 Find the second derivative of -2*h**3*l**2 + 284*h**3 - 4*h**2*l + 5*h**2 - 29495688*h*l**2 - 2*h*l - l**2 + 9*l wrt l. -4*h**3 - 58991376*h - 2 What is the second derivative of 82017812*j**4 - 3*j**3 - 32529*j - 4084? 984213744*j**2 - 18*j Differentiate 2310396*z**2 + 6356082 with respect to z. 4620792*z Find the third derivative of -25254533*x**3 + 2*x**2 - 7501*x - 97 wrt x. -151527198 Find the third derivative of 94248738*x**4 - 253537865*x**2 wrt x. 2261969712*x What is the second derivative of -b**3*m**2*p - 264909*b**3*m*p**2 - 16*b**2*m**2 - 258018*b**2*p - 6*m**2*p**2 - m**2*p wrt p? -529818*b**3*m - 12*m**2 Find the second derivative of -7519736*d**5 - 81225964*d wrt d. -150394720*d**3 Find the second derivative of -1033746380*k**2 + 66885213*k. -2067492760 What is the third derivative of -102966149*m**3*o**3 + 82*m**2*o**3 + 2*m**2 - 19*m*o**2 + 2*m*o - 3*o + 15 wrt m? -617796894*o**3 Find the third derivative of -2*a**4*g + 40024*a**4 - 284*a**3*g**3 + 23*a**2*g**3 + 181774*a*g**3 wrt a. -48*a*g + 960576*a - 1704*g**3 Find the first derivative of 68*a**3 + 2652*a**2 - 52*a + 51299440 wrt a. 204*a**2 + 5304*a - 52 What is the derivative of -2109590*j**4 - 1687560 wrt j? -8438360*j**3 Find the third derivative of -8*p**5*s + 157878*p**3*s + 2*p**2*s + 3*p**2 + 25*s + 23125 wrt p. -480*p**2*s + 947268*s Differentiate 304*k**3 - 2*k**2*t - 15*k**2 - 50*k*t - 3900195*t with respect to k. 912*k**2 - 4*k*t - 30*k - 50*t What is the second derivative of -48*t**3 - 489144*t**2 + 519587434*t? -288*t - 978288 Find the second derivative of -84*v**5 - 6996*v**2 + 321168043*v wrt v. -1680*v**3 - 13992 Find the second derivative of -5023306*v**3 + v**2 - 46340074*v - 1 wrt v. -30139836*v + 2 Find the first derivative of -4790*a**2*x**2 + 70*a**2*x + 2*a**2 - 69*x**2 + 259126067 wrt x. -9580*a**2*x + 70*a**2 - 138*x Find the first derivative of -82293647*n - 7605184. -82293647 What is the second derivative of -f**2*r - 1702461*f**2 - 48*f*r - 11*f - 3*r + 525 wrt f? -2*r - 3404922 What is the third derivative of -31592*s**4 + 8*s**3 + 2*s**2 - 11*s + 20829 wrt s? -758208*s + 48 What is the second derivative of -2420*n**4 - 2*n**3 + 248*n**2 - 12*n + 1536456? -29040*n**2 - 12*n + 496 Differentiate 90*c*u*y + 2*c*y + 289077*c - 18661*u**2*y + 5*y - 2 with respect to u. 90*c*y - 37322*u*y What is the second derivative of -116046654*i**2 + 77494669*i wrt i? -232093308 What is the second derivative of -66682918*r**2 + 2*r - 41647454 wrt r? -133365836 Differentiate -284*k**2*o - 4745*k**2 + 2*o - 8251761 wrt k. -568*k*o - 9490*k What is the third derivative of -5342024*u**5 - 5399*u**2 - 45*u + 6 wrt u? -320521440*u**2 What is the derivative of 4477*m*y**3*z - 1710*m*y*z**3 + 8*y**3*z**3 - 2*y**3*z**2 + 14696*y*z**3 wrt m? 4477*y**3*z - 1710*y*z**3 What is the second derivative of -44302929*s**4 + 23173077*s wrt s? -531635148*s**2 Find the third derivative of 551005455*s**3 + 120*s**2 + 209348*s. 3306032730 What is the derivative of -27110352*h*i**2 - 27972943*i**2 wrt h? -27110352*i**2 What is the first derivative of -2*t**3 - 35468*t**2 + 6*t - 720011? -6*t**2 - 70936*t + 6 What is the second derivative of w*z**2 + 27901450*w*z + w + 29341810*z**2 wrt z? 2*w + 58683620 What is the derivative of -1552*k*y**4 + 6*k*y + 3898*k + 6309*y - 47888 wrt y? -6208*k*y**3 + 6*k + 6309 Find the first derivative of 103151112*u**3 + 56050307. 309453336*u**2 What is the derivative of 27*p**4 - 4*p**2 + 678*p + 13176955 wrt p? 108*p**3 - 8*p + 678 What is the third derivative of -4134*l**2*o*z**3 + 13033069*l**2*o*z**2 - 4*l**2*o - 2*l*o*z**2 - 3*l*z - 24527*o*z**3 wrt z? -24804*l**2*o - 147162*o What is the second derivative of -7145*l*n**3*x**2 - 1110*l*n**3*x - 3*l*n**3 - 9080*l*n**2*x**2 + l*x + 829*n*x wrt x? -14290*l*n**3 - 18160*l*n**2 What is the third derivative of 41097270*f**2*h**3 - 68*f**2*h**2 + 25*f**2*h + 2*f**2 + 4*f*h**3 + 7*h**2 + 25*h wrt h? 246583620*f**2 + 24*f Find the first derivative of 425920845*b*j**3 - 2*j**3 - 59747*j**2 + 2*j + 185 wrt b. 425920845*j**3 Find the second derivative of 3312*f*k**2 - 211872161*f*k + 14406*k**2 wrt k. 6624*f + 28812 Find the second derivative of 19940*f*n**4 - 21*f*n**2 + 1243*f*n - 3*f - 351*n wrt n. 239280*f*n**2 - 42*f Find the second derivative of 99*o**5 + 1726648*o**3 - 89714741*o - 4. 1980*o**3 + 10359888*o What is the third derivative of 1227*k**4 + 1700*k**3 - 23351*k**2 - 48*k - 1 wrt k? 29448*k + 10200 What is the first derivative of -1660*v**3*w - 30*v*w**3 - 18*v*w + w**3 - 12*w**2 + w - 6128 wrt v? -4980*v**2*w - 30*w**3 - 18*w What is the second derivative of 15580*t**4 - 60*t**2 + 9686088*t? 186960*t**2 - 120 What is the third derivative of -5313820*i**4 - 4262*i**2 + 60*i + 2? -127531680*i Find the second derivative of -292833998*i**2 - 134053802*i. -585667996 What is the third derivative of 18663528*w**3 - 306*w**2 + 3*w - 4933? 111981168 Differentiate 91*v*w + 36184337*v - 124235*w + 2 with respect to w. 91*v - 124235 What is the second derivative of -55626608*l**4 + 33383*l - 656? -667519296*l**2 Find the second derivative of -229222045*a**2 - 1548*a - 8532. -458444090 What is the third derivative of 159776237*d**3 - 14*d**2 + 11715497*d wrt d? 958657422 What is the third derivative of 18*a*q**3*s + 7*a*q**3 + 12446*a*q**2*s + a*q**2 + 3*a*s + 2*q**3*s - 4744*q**3 - s wrt q? 108*a*s + 42*a + 12*s - 28464 What is the second derivative of 27482229*p**3*v**3 - 20*p*v**3 + 106300 wrt p? 164893374*p*v**3 What is the second derivative of 7815908*a**2 - 14792038*a wrt a? 15631816 What is the second derivative of -8753984*p**3 - 38313*p - 7 wrt p? -52523904*p What is the second derivative of -5386429*s**2 + 1062699*s + 5? -10772858 Differentiate 1385949*z**2 - 17402675 wrt z. 2771898*z Differentiate 5*u**3 - 158*u**2 - 948*u + 629043209 with respect to u. 15*u**2 - 316*u - 948 Find the second derivative of 16604509*k**5 - 14*k**2 - 560461704*k. 332090180*k**3 - 28 Differentiate -1081*t**3 + 7*t**2 + 1988*t + 148070374 with respect to t. -3243*t**2 + 14*t + 1988 Find the second derivative of -23*s**5 - 9923047*s**3 + 6*s + 13125203. -460*s**3 - 59538282*s What is the second derivative of 18*c*d*i**3 + c*d*i - 34*c*i**2 + 27850*c*i + 4354*d*i**3 - 579 wrt i? 108*c*d*i - 68*c + 26124*d*i What is the third derivative of 2*q**2*u**3 - 2*q**2*u**2 - 9*q**2 - 46*q*u**3 - q*u**2 + 309*u**3 + 2672 wrt u? 12*q**2 - 276*q + 1854 Differentiate 8*t*z**2 - 7060562*t*z + t + 85541025*z**2 with respect to t. 8*z**2 - 7060562*z + 1 Differentiate o**3*w + 8709001*o*w**3 - 1779*w**3 - 5*w**2 + 2*w - 66 with respect to o. 3*o**2*w + 8709001*w**3 Find the first derivative of -3620130*q**2*s - 28686091*q**2 wrt s. -3620130*q**2 What is the second derivative of 45*q**3 + 601327*q**2 + 44983650*q? 270*q + 1202654 What is the third derivative of 114156847*i**3 -
{ "pile_set_name": "DM Mathematics" }
. -27 Solve 67*h - 144 = 27*h + 24*h for h. 9 Solve 0 = -62610*f + 62614*f + 44 for f. -11 Solve 118*z - 68 = -1313 - 171 for z. -12 Solve -17*x - 312 = -175 + 169 for x. -18 Solve 0 = -28*o - 139 + 139 for o. 0 Solve -81*a - 136 - 917 = 0 for a. -13 Solve 79*z + 500 = 184 for z. -4 Solve 48 = -7*y - 4 + 17 for y. -5 Solve -130 = 3619*p - 3609*p for p. -13 Solve 57*j - 327*j = -2839 - 1211 for j. 15 Solve 275 + 597 = 43*d - 74 for d. 22 Solve -32 - 277 = 28*c - 1 for c. -11 Solve -637 = 15*f - 442 for f. -13 Solve -7496 + 7501 = -5*w for w. -1 Solve -105 + 12 = 31*s for s. -3 Solve -42*o - 567 = -1785 for o. 29 Solve 284*q - 926 - 3486 - 2972 = 0 for q. 26 Solve -4*i + 655 = -14*i + 565 for i. -9 Solve -45*r + 263*r = 536 + 2734 for r. 15 Solve -16*u - 16*u - 1248 = 16*u for u. -26 Solve 0 = -0*n + 28*n - 250*n - 666 for n. -3 Solve -39*x - 22 = -13*x + 30 for x. -2 Solve 61*b = -105*b + 2158 for b. 13 Solve -65*x + 3975 = 18*x + 76*x for x. 25 Solve -114*p - 736 = -8*p + 112 for p. -8 Solve 646*v + 42 = 639*v for v. -6 Solve 32*a - 77*a + 90 = -36*a for a. 10 Solve 519*k + 2064 - 20748 = 0 for k. 36 Solve 130*f - 23*f + 162 + 266 = 0 for f. -4 Solve -9*b - 200 = 34*b - 18*b for b. -8 Solve -134*i - 2186 = 63*i + 178 for i. -12 Solve 29*p + 371*p + 77*p + 1431 = 0 for p. -3 Solve -4759*p = -4762*p - 36 for p. -12 Solve -w - 21 = -7*w + 57 for w. 13 Solve -43*r + 25*r - 60 = -33*r for r. 4 Solve -2618 = 321*b + 913 for b. -11 Solve 3*f + 214 = -29*f - 74 for f. -9 Solve 0 = 101*q + 16762 - 16156 for q. -6 Solve -49*u - 38*u - 312 = -9*u for u. -4 Solve -77*s = -34*s - 86 for s. 2 Solve 0 = -11*l - 139451 + 139638 for l. 17 Solve 6116*i - 6152*i + 792 = 0 for i. 22 Solve 0 = 16*j - 0*j + 58*j - 1554 for j. 21 Solve 24*k + 27*k = k - 700 for k. -14 Solve 24*c = 2 + 190 for c. 8 Solve 193*x - 1986 = -219*x + 2546 for x. 11 Solve 2505 = -42*t + 1917 for t. -14 Solve 0 = -25*g + 888 - 288 for g. 24 Solve -202 - 195 = -99*p + 98 for p. 5 Solve 145*r = 205*r + 1860 for r. -31 Solve 8*u - u + 480 = -25*u for u. -15 Solve -4327*f + 1914 = -3689*f for f. 3 Solve -122 = 7*p - 40 + 37 for p. -17 Solve -6*b - 104 = b + 57 for b. -23 Solve -1781 + 77 = -213*q for q. 8 Solve 41*h + 142*h + 65*h = -8432 for h. -34 Solve 170*z + 166 + 286 = 57*z for z. -4 Solve 532 - 283 = -8*k + 281 for k. 4 Solve -31*w + 197 + 427 = 47*w for w. 8 Solve 744 = -89*t - 146 for t. -10 Solve 382*m + 312 = 200*m + 208*m for m. 12 Solve 256*t + 86 = 140*t + 159*t for t. 2 Solve -72 = 19*p - 31*p for p. 6 Solve 20*b - 77 = 65*b + 418 for b. -11 Solve -827*c - 25 = -852*c for c. 1 Solve -80*n - 151*n + 2665 = -26*n for n. 13 Solve 909 = 27*a + 1260 for a. -13 Solve -82*x + 404*x = 1610 for x. 5 Solve -150*q + 75*q + 40 + 35 = 0 for q. 1 Solve -368*y + 2163 = -1885 for y. 11 Solve 146*r + 5 = 147*r - 4 for r. 9 Solve 0 = 9*g - 4240 + 3961 for g. 31 Solve 86*k = -5*k + 1183 for k. 13 Solve -495*o + 476*o - 418 = 0 for o. -22 Solve -7456 = -13*g - 7586 for g. -10 Solve 23*s + 439 = 94 for s. -15 Solve o - 18 + 18 = -8 for o. -8 Solve 29*g + 131*g = -288*g - 448 for g. -1 Solve -7 + 10843 = 516*d for d. 21 Solve 3*l + l = 127 - 75 for l. 13 Solve 270*y - 296*y - 312 = 0 for y. -12 Solve 36*n = -25*n + 30*n + 217 for n. 7 Solve -1550*k + 1581*k = 186 for k. 6 Solve -12*f - 121 = 5*f - 410 for f. 17 Solve -603*p + 398*p = -1230 for p. 6 Solve 34*i - 800 = -38*i - 224 for i. 8 Solve 32*q - 13*q + 10 = -237 for q. -13 Solve 330 = 942*v - 920*v for v. 15 Solve -44 = 915*k - 877*k + 70 for k. -3 Solve 39*v + 4 = -20 - 15 for v. -1 Solve -752*u + 780*u - 224 = 0 for u. 8 Solve 12 = 110*r + 452 for r. -4 Solve -10*v + 306 = 146 for v. 16 Solve 81 = -39*y + 581 + 358 for y. 22 Solve 348*l - 9216 + 3300 = 0 for l. 17 Solve -8*d + 3*d = 8 + 7 for d. -3 Solve -62*i - 428 - 123 = 69 for i. -10 Solve 599894*l = 599935*l + 123 for l. -3 Solve -124 - 84 - 30 = -17*v for v. 14 Solve 6*f - 84 - 698 = -40*f for f. 17 Solve -37*q - 61*q - 1525 = -37*q for q. -25 Solve -108*y + 99*y + 18 = 0 for y. 2 Solve -342 = 86*i - 1202 for i. 10 Solve 203*f + 3*f = 3708 for f. 18 Solve -216 + 144 - 489 = 33*z for z. -17 Solve -125*v + 3718 = -118*v + 279*v for v. 13 Solve 17*n - 3033 + 3424 = 0 for n. -23 Solve -42*f - 1780 = -1318 for f. -11 Solve -28 = 14741*k - 14737*k for k. -7 Solve -291*s - 173 = -355*s + 467 for s. 10 Solve 4351 = 38*g - 11*g + 202*g for g. 19 Solve -1313 = -300*h - 296 + 183 for h. 4 Solve -383*h + 1631 - 1887 = -9065 for h. 23 Solve -216*v + 266*v - 700 = 0 for v. 14 Solve -444 = -20*v + 25*v + 69*v for v. -6 Solve -193*k = -47*k - 1022 for k. 7 Solve -21*p - 16 = -18 - 82 for p. 4 Solve 13*v + 78 = 82 + 87 for v. 7 Solve 33*b + 325 = 200*b - 844 for b. 7 Solve -39*s - 15 = -34*s for s. -3 Solve 147*l = 4*l + 3146 for l. 22 Solve -189*i = -66*i - 1845 for i. 15 Solve 118*t - 2 - 82 = 106*t for t. 7 Solve -32 = 353*y - 738 for y. 2 Solve 44*v = -47*v - 218 - 692 for v. -10 Solve 118 = 23*d + 440 for d. -14 Solve -135*u + 217*u - 2214 = 0 for u. 27 Solve -56*b - 1680 = 56*b for b. -15 Solve -20*a - 424 = 18*a - 144*a for a. 4 Solve -2036*c + 2479*c - 15062 = 0 for c. 34 Solve -586 = 131*w - 174*w + 317 for w. 21 Solve 50*g + 93*g = -14*g - 628 for g. -4 Solve 860*n = 861*n + 23 for n. -23 Solve -330 = 74*q - 41*q for q. -10 Solve -20*c - 2765 + 3025 = 0 for c. 13 Solve -1516*v + 1538*v - 792 = 0 for v. 36 Solve 34*c - c = 23*c - 90 for c. -9 Solve -15*q = -163 - 33 + 91 for q. 7 Solve -21*q + 556 = 241 for q. 15 Solve 497*t = 5387 + 12505 for t. 36 Solve -1952 = 4066*z - 4005*z for z. -32 Solve 737 = -33*r + 275 for r. -14 Solve 34*g - 3075 = -171*g for g. 15 Solve 7829 = -771*h - 5234 - 7754 for h. -27 Solve 311 = -198*o + 2093 for o. 9 Solve 68*p = -19 + 699 for p. 10 Solve 108*u - 90 = 126*u for u. -5 Solve 53*z - 50*z = -129*z - 396 for z. -3 Solve 1549 - 4447 = -161*a for a. 18 Solve -32*j - 729 - 739 = -476 for j. -31 Solve -190*n + 328 = -231*n for n. -8 Solve 0 = -354*k + 263 + 706 + 1863 for k. 8 Solve -5963 = -682*z - 116*z + 9997 for z. 20 Solve 182*v = 111*v - 497 for v. -7 Solve -101 = 7*t - 33 + 86 for t. -22 Solve 72*b - 133 = 179 + 192 for b. 7 Solve 52*o - 991 = -9*o - 3065 for o. -34 Solve 26*m + 595 = 112*m + 1111 for m. -6 Solve -136*d = -188*d - 364 for d. -7 Solve 27*f - 287 = 31 - 21 for f. 11 Solve -1428 + 267 = 129*k for k. -9 Solve 297*a + 26 = 281*a + 10 for a. -1 Solve -1909*b + 5890 = -1719*b for b. 31 Solve -7*u - 15 = -131 + 32 for u. 12 Solve -5*z + 5*z = 84*z - 924 for z. 11 Solve -23473 = -1313*r + 5489 + 5176 for r. 26 Solve 0 = 139*k - 61*k + 28 + 908 for k. -12 Solve -38683*u = -38654*u + 609 for u. -21 Solve 26*a + 35 = 139 for a. 4 Solve -56*b - 90*b = -25*b for b. 0 Solve -69*f = -0*f + 5*f - 740 for f. 10 Solve -20*y + 488 - 111 - 237 = 0 for y. 7 Solve 90*x = -151*x + 1205 for x. 5 Solve 47*n + 24938 - 26207 = 0 for n. 27 Solve 60*q = 127 - 847 for q. -12 Solve 82*l - 122 = -300 - 232 for l. -5 Solve 1200 = -13*m + 15*m - 77*m for m. -16 Solve -9*h + 1280 = 1469 for h. -21 Solve -3163 + 18 = 629*f for f. -5 Solve 1538*a = 1199*a - 9831 for a. -29 Solve -83*h = 232*h - 9*h + 612 for h. -2 Solve 180505*y - 180508*y - 21 = 0 for y. -7 Solve 2*u - 9 + 25 - 36 = 0 for u. 10 Solve 97*c - 780 = -98*c for c. 4 Solve 5*l = 14*l + 45 for l. -5 Solve 9*g + 11*g = 17*g - 3 for g. -1 Solve 0 = -12*b - 10*b - 4*b + 29*b for b. 0 Solve -19*g + 10914 = 115*g + 7564 for g. 25 Solve 15 = -107*p + 67 + 162 for p. 2 Solve 0 = 100*f - 233 - 323 + 156 for f. 4 Solve 80*z - 170*z = -106*z + 112 for z. 7 Solve 36 = 62*v - 212 for v. 4 Solve 459*y = 3662 - 368 + 4509 for y. 17 Solve -63*h - 176*h - 3066 = -20*h for h. -14 Solve 44 = -33*i + 3*i - 376 for i. -14 Solve 60 = -12*v - 11*v + 35*v for v. 5 Solve -589*q + 591*q = -28 for q. -14 Solve 13738*s - 13717*s - 63 = 0 for s. 3 Solve k - 30 = -10*k - 107 for k. -7 Solve -2795*f + 414 = -2818*f for f. -18 Solve 24 = 101*a - 89*a for a. 2 Solve 85*z - 374 = -79*z + 181*z for z. -22 Solve 138*j - 141*j + 822 - 741 = 0 for j. 27 Solve 1914*y = 1983*y + 138 for y. -2 Solve -322 = -31190*r + 31204*r for r. -23 Solve -96*p = -57 - 231 for p. 3 Solve -242 + 12770 = 464*u for u. 27 Solve -1524*i - 1384 + 292 = -1433*i for i. -12 Sol
{ "pile_set_name": "DM Mathematics" }
? -5 Which is the fifth biggest value? (a) -11 (b) -0.4 (c) 0.2 (d) -7 (e) -5 (f) -1 d Which is the third biggest value? (a) -3 (b) 0.09 (c) 17/541 a Which is the third smallest value? (a) -1 (b) 1/3 (c) -64 (d) -0.093 d Which is the fifth biggest value? (a) 2/9 (b) -4 (c) -0.1 (d) 4/25 (e) -7 (f) 2/17 b Which is the fifth biggest value? (a) -21/2 (b) -0.04 (c) -5 (d) -2/9 (e) -35 e Which is the fifth smallest value? (a) -6 (b) -2/7 (c) 1 (d) 0.3 (e) 0 c What is the biggest value in 5657, 11, -4? 5657 What is the third smallest value in 0.5, -8, 47, -2/21, -0.2, -2/19? -2/19 Which is the second smallest value? (a) 59 (b) -0.4 (c) 0.2 (d) 1 c What is the biggest value in -179, -8, 1/3, 4, 1? 4 What is the third smallest value in 6, 23, 217, 2? 23 Which is the third smallest value? (a) 577 (b) 0.2 (c) 0.209 a What is the second biggest value in 2, 5, -143, 125? 5 Which is the smallest value? (a) -1/5 (b) -0.5 (c) 1.53 (d) -1/179 b What is the third biggest value in 20/9, 2, -3, -2/3, 7126? 2 Which is the second biggest value? (a) 0.1 (b) -2/33 (c) 3/2 (d) -0.4 (e) -0.085 a What is the biggest value in -1/2, -0.48, -10838? -0.48 Which is the biggest value? (a) 20732 (b) 1/4 (c) 1/7 a Which is the third smallest value? (a) -2/7 (b) 23 (c) 0.537 b What is the fourth smallest value in 94, -1/4, 1/6, -1.2? 94 What is the biggest value in -3, -226.7, -2/15, -4? -2/15 What is the third biggest value in 48/35, 1/3, 619? 1/3 What is the third biggest value in 3.6, 1/15, -1? -1 Which is the third smallest value? (a) 1 (b) 6.202 (c) -0.4 b What is the fourth smallest value in 5, 117, -42, -3/2? 117 Which is the smallest value? (a) -7730 (b) -0.02 (c) -2/3 a Which is the fifth biggest value? (a) 5 (b) -59 (c) -27.2 (d) -5 (e) -2 b Which is the third biggest value? (a) -18/611 (b) 1 (c) -1 (d) 3 (e) -0.81 a Which is the biggest value? (a) -3/4 (b) 15.5 (c) 3/23 (d) -3/5 b What is the fifth biggest value in -221, 0.04, -1, -16, -3, 1? -16 What is the second biggest value in -4, 86, -17? -4 What is the second biggest value in -5/3, 1, -4, -0.27, -1/46, 5? 1 Which is the fourth biggest value? (a) 97 (b) 0 (c) 1.7 (d) 4 b Which is the smallest value? (a) -3/2 (b) 9 (c) -1/3 (d) -2859 (e) -3 d What is the second smallest value in 5, 1407, 4, -1, 0.069, -5? -1 Which is the third smallest value? (a) 5/3 (b) 16 (c) -689 (d) -1 (e) -2/5 e What is the fifth smallest value in 0.5, -10.7, -1, 2/9, -5? 0.5 What is the smallest value in -4, 4, 1/2408? -4 What is the third smallest value in -1/2, 1/9, 4/9, 0.243, -2? 1/9 What is the biggest value in -29, -3, -1, 9, -0.2? 9 What is the third biggest value in 0.155461, -5, 0.4? -5 Which is the biggest value? (a) -4 (b) -3/55 (c) 3/8 (d) -0.19 (e) -2/53 (f) -1/4 c Which is the biggest value? (a) 3 (b) -0.5 (c) 4 (d) -4 (e) 5 (f) -0.607 e What is the fourth smallest value in -0.031, -0.3, 1, -1/2, 1/140? 1/140 Which is the fourth biggest value? (a) -0.1 (b) -2.94 (c) 112 (d) 5 b What is the third smallest value in -33.78, 2, -1/12? 2 Which is the fourth smallest value? (a) -3 (b) 10 (c) -2/13 (d) 10/9 (e) 4 (f) -16 d What is the fifth biggest value in -2, -0.4, 0, -4.27, 5, -3/2? -2 Which is the second biggest value? (a) 3 (b) 0.1 (c) -2071 (d) -0.2 (e) -8 (f) -2/17 b Which is the second smallest value? (a) 5 (b) -4/119 (c) -7 b What is the fifth smallest value in 74, -3, 0.5, 3/7, 2? 74 What is the second smallest value in -15, 1/69, 4/3, 0? 0 Which is the third biggest value? (a) -82421 (b) 0.4 (c) 3/8 (d) -0.4 (e) -3/4 d What is the biggest value in -4, 0.5, 0.044, -1, -0.6? 0.5 What is the third biggest value in -1/19, 4/25, -0.037, -4? -1/19 Which is the smallest value? (a) -20.49 (b) -10 (c) 1.5 a Which is the fourth smallest value? (a) 4/3 (b) 3 (c) 0.9 (d) -17 (e) 2 e What is the biggest value in -5/3, -5, 5, 1764/11? 1764/11 Which is the third smallest value? (a) 21 (b) 3/4 (c) 0.69 a What is the third biggest value in 0.4, -0.4, 41/4, 0.037? 0.037 Which is the biggest value? (a) 1/5 (b) -2 (c) 0.3 (d) 497 (e) -3/4 d Which is the smallest value? (a) 37 (b) -1/16 (c) -3/2 c What is the smallest value in -25, -1/7, -5.47? -25 What is the fourth biggest value in -5, -20, 0.38, 4? -20 What is the biggest value in 4, -1/2140, 0.1? 4 What is the third biggest value in -5, 3953, -1? -5 What is the biggest value in 4, 2/51, 24/7, 0, -0.8? 4 Which is the biggest value? (a) 5 (b) -2 (c) -47 (d) 443/4 (e) -1 (f) 0.1 d Which is the smallest value? (a) -0.1 (b) 0.2 (c) 158280 a What is the sixth biggest value in -4, 1/3, -134, 0.5, 54, -0.4? -134 Which is the smallest value? (a) 33 (b) -1/4 (c) -6 (d) 47 c Which is the second biggest value? (a) -0.5 (b) 66.16 (c) -0.4 (d) 25 (e) -5 d What is the biggest value in -416, -0.5, -1061? -0.5 What is the third biggest value in -5, -1, 0.056, 0.217, 0.5? 0.056 What is the second smallest value in 4, 260, 2/7, -3? 2/7 Which is the second smallest value? (a) 1.5 (b) -625 (c) 1/3 (d) 3/5 (e) -0.1 e Which is the fourth smallest value? (a) 591 (b) -0.2 (c) -1 (d) -5 (e) 5 e What is the fourth smallest value in -0.35, -3, -5, -0.1, 1/5? -0.1 Which is the smallest value? (a) -1 (b) -240 (c) -10/199 (d) 0.3 b What is the second biggest value in 0, 1/26040, 3? 1/26040 What is the sixth biggest value in 57, 0.3, 0.5, -0.3, -5, 378? -5 What is the smallest value in 0.1, -11, 1346? -11 What is the third biggest value in 3984, -0.1, -1? -1 What is the fifth biggest value in -0.7, -5, -130, -1/3, -8? -130 Which is the third biggest value? (a) 15753 (b) 0.4 (c) 2/17 c Which is the biggest value? (a) 8.4 (b) -2.1 (c) 3/5 (d) -3 (e) 4 a What is the fifth biggest value in -0.039, -0.1, 4, 0.18, 0.5? -0.1 Which is the smallest value? (a) -22 (b) -3.9 (c) -1 (d) -3 (e) -3/7 (f) 1 a Which is the smallest value? (a) 62 (b) -3.46 (c) 0.12 b Which is the third biggest value? (a) -71 (b) -39/19 (c) -2/17 (d) 4 b What is the fourth smallest value in -17, -14, -11.6, -1/3? -1/3 What is the fourth smallest value in -8/3, -20, -1, 1/5? 1/5 Which is the third smallest value? (a) -2212 (b) -2 (c) -5 b What is the fourth biggest value in 2/9, 0, 5, 612? 0 What is the biggest value in -7, -2, 0.4, -5, 63714? 63714 What is the biggest value in -0.3, 4, 2/9, -113? 4 What is the biggest value in 4, 2/3, 2/5, -149? 4 What is the second biggest value in 1/8, -43, 0.5, 0.6, 2/5, -2/11? 0.5 Which is the smallest value? (a) -6208/9 (b) -5 (c) -75 a What is the sixth biggest value in 2, -0.03, 5, -6, -5, -0.24? -6 Which is the fourth biggest value? (a) 15/2 (b) -173 (c) 2/5 (d) 0.3 (e) 5 d Which is the second biggest value? (a) -1/2 (b) -1496.6 (c) 4 (d) 1/3 d What is the second smallest value in -640, -5, 2/11, -2? -5 What is the biggest value in 0.6, -2/15, 1/3966, -0.4? 0.6 Which is the third smallest value? (a) 49.021 (b) 3 (c) 2/5 (d) 1/3 b What is the fifth biggest value in 0.13, 0, -3, -0.02, -2/11, -6? -3 Which is the biggest value? (a) -0.06 (b) 13 (c) -0.0915 b Which is the biggest value? (a) 5 (b) -18.2187 (c) 0 a What is the biggest value in -0.5, 2/7, 102.5, -3/4, -1/3, 4/9? 102.5 Which is the smallest value? (a) -5 (b) -79 (c) 20/741 b What is the third biggest value in 0, -3107/5, 2? -3107/5 What is the fourth smallest value in -20, -2/5, -0.3, 5? 5 Which is the fourth smallest value? (a) 0.1 (b) 2/7 (c) -1.1 (d) -0.3 (e) -1 (f) 1 a What is the fourth biggest value in -3/2, -0.4, -5, 2591, -2/3? -3/2 What is the second smallest value in -29, 1/5, -5, -4, 4/7? -5 What is the sixth biggest value in -0.3, 2.14, -8/3, -5/3, -3, -1/4? -3 Which is the second biggest value? (a) 0 (b) -5 (c) 73 (d) 4 d What is the fifth biggest value in -1, -1/35, 0.31, -0.054, -0.2? -1 Which is the third biggest value? (a) 2/11 (b) -4 (c) 0.5 (d) 1.17 (e) -2 a Which is the fourth biggest value? (a) -1/2 (b) 1 (c) 2 (d) -2 (e) 6 (f) -2/1927 f What is the smallest value in 3, -2, 1, -1/2, -1/140? -2 What is the third smallest value in -2, 12, 2/11, 2/27, -0.14? 2/27 What is the smallest value in -3
{ "pile_set_name": "DM Mathematics" }
re the prime factors of 230974254? 2, 3, 7, 353, 577 List the prime factors of 375892990. 2, 5, 11, 37, 92357 What are the prime factors of 51940664? 2, 101, 64283 What are the prime factors of 33315545? 5, 31, 214939 What are the prime factors of 599017648? 2, 37438603 List the prime factors of 5737177902. 2, 3, 373, 947, 2707 List the prime factors of 26179060. 2, 5, 23, 56911 List the prime factors of 575785712. 2, 37, 972611 List the prime factors of 115971236. 2, 179, 161971 What are the prime factors of 2955361051? 37, 4049, 19727 What are the prime factors of 48112666? 2, 7, 1373, 2503 What are the prime factors of 115619034? 2, 3, 61, 315899 What are the prime factors of 16214496? 2, 3, 168901 List the prime factors of 380670277. 13, 29282329 List the prime factors of 28010687. 257, 108991 What are the prime factors of 5506747988? 2, 7, 139, 202127 What are the prime factors of 3835494566? 2, 53, 36183911 What are the prime factors of 62240496? 2, 3, 29, 61, 733 List the prime factors of 2031771436. 2, 29, 59, 307, 967 List the prime factors of 1478904420. 2, 3, 5, 7, 3521201 List the prime factors of 881725401. 3, 23, 4259543 List the prime factors of 188734505. 5, 19, 1986679 List the prime factors of 2535227827. 11, 37, 168353 What are the prime factors of 17072165? 5, 11, 17, 19, 31 What are the prime factors of 293677193? 17, 1811, 9539 What are the prime factors of 30258940? 2, 5, 1512947 List the prime factors of 6764099746. 2, 31, 109098383 List the prime factors of 194325649. 7, 27760807 What are the prime factors of 269061635? 5, 17, 557, 5683 What are the prime factors of 40927239? 3, 691, 6581 What are the prime factors of 492622265? 5, 367, 268459 List the prime factors of 17536155. 3, 5, 7, 13, 29, 443 List the prime factors of 138963602. 2, 69481801 What are the prime factors of 120714483? 3, 191, 210671 List the prime factors of 153587199. 3, 659, 77687 List the prime factors of 24408070. 2, 5, 2440807 List the prime factors of 339428843. 13, 4153, 6287 What are the prime factors of 1784521050? 2, 3, 5, 13, 915139 List the prime factors of 9179610. 2, 3, 5, 11, 27817 List the prime factors of 374456507. 263, 1423789 List the prime factors of 529307182. 2, 264653591 List the prime factors of 320810877. 3, 19, 23, 81569 What are the prime factors of 41085002? 2, 7, 71, 41333 List the prime factors of 81704560. 2, 5, 7, 19, 1097 List the prime factors of 136241359. 136241359 What are the prime factors of 106527823? 229, 465187 List the prime factors of 3987044666. 2, 11, 359, 504817 What are the prime factors of 139689821? 53, 643, 4099 What are the prime factors of 8052560657? 8052560657 What are the prime factors of 17338532? 2, 373, 11621 What are the prime factors of 1148370735? 3, 5, 19, 4029371 List the prime factors of 10202045. 5, 7, 41641 List the prime factors of 96831019. 96831019 List the prime factors of 1685145793. 1685145793 List the prime factors of 360558221. 107, 3369703 What are the prime factors of 981242869? 29, 4019, 8419 What are the prime factors of 31883860? 2, 5, 47, 107, 317 List the prime factors of 1441625439. 3, 43, 11175391 List the prime factors of 317231911. 347, 914213 List the prime factors of 36324019. 17, 2136707 List the prime factors of 112410710. 2, 5, 11241071 What are the prime factors of 1745120281? 37, 379, 124447 List the prime factors of 111338819. 111338819 List the prime factors of 43102501. 13, 3315577 What are the prime factors of 8431949? 17, 89, 5573 What are the prime factors of 69648070? 2, 5, 127, 173, 317 List the prime factors of 863097992. 2, 107887249 List the prime factors of 676526499. 3, 11, 283, 2683 What are the prime factors of 268789495? 5, 13, 157, 26339 What are the prime factors of 65340123? 3, 1301, 16741 List the prime factors of 163772614. 2, 41, 881, 2267 List the prime factors of 24839600. 2, 5, 62099 List the prime factors of 267614077. 267614077 What are the prime factors of 130651988? 2, 4027, 8111 What are the prime factors of 98315046? 2, 3, 17, 29, 1231 What are the prime factors of 3245344683? 3, 7, 89, 353, 4919 List the prime factors of 417250999. 11, 281, 134989 List the prime factors of 14165816. 2, 7, 131, 1931 What are the prime factors of 286641563? 13, 113, 195127 List the prime factors of 31074950. 2, 5, 29, 739 List the prime factors of 112211115. 3, 5, 7480741 What are the prime factors of 2083160406? 2, 3, 263, 1320127 List the prime factors of 206996002. 2, 311, 332791 What are the prime factors of 1622123265? 3, 5, 7, 29, 67, 7951 List the prime factors of 659699797. 659699797 List the prime factors of 249627051. 3, 919, 30181 What are the prime factors of 412883999? 11, 37, 1014457 List the prime factors of 10810307. 1583, 6829 What are the prime factors of 2047857837? 3, 223, 941, 3253 What are the prime factors of 153329371? 13, 53, 139, 1601 What are the prime factors of 513325416? 2, 3, 21388559 What are the prime factors of 5373896201? 5373896201 List the prime factors of 600093752. 2, 29, 2586611 List the prime factors of 2381633013. 3, 793877671 List the prime factors of 5262191091. 3, 23, 43, 569, 1039 What are the prime factors of 9871582? 2, 7, 705113 List the prime factors of 62979577. 17, 47, 78823 What are the prime factors of 60459034? 2, 3541, 8537 List the prime factors of 49382715. 3, 5, 227, 14503 List the prime factors of 113218630. 2, 5, 7, 41, 103, 383 List the prime factors of 301787893. 11, 17, 47, 34337 What are the prime factors of 117513245? 5, 23502649 What are the prime factors of 5742173739? 3, 29, 313, 210869 What are the prime factors of 719772016? 2, 83, 349, 1553 What are the prime factors of 3504989091? 3, 4021, 290557 What are the prime factors of 105737009? 7, 37, 408251 List the prime factors of 395707107. 3, 367, 359407 List the prime factors of 60472100. 2, 5, 13, 181, 257 What are the prime factors of 62122618? 2, 31061309 List the prime factors of 30264472. 2, 7, 540437 What are the prime factors of 3188171099? 31, 271, 379499 List the prime factors of 347021832. 2, 3, 103, 140381 What are the prime factors of 2524786408? 2, 179, 541, 3259 What are the prime factors of 16857557? 17, 991621 List the prime factors of 46223418. 2, 3, 31, 181, 1373 What are the prime factors of 379931180? 2, 5, 61, 311419 List the prime factors of 2225713245. 3, 5, 7, 21197269 List the prime factors of 1019615. 5, 61, 3343 What are the prime factors of 99793085? 5, 7, 2851231 List the prime factors of 881383832. 2, 7, 1451, 10847 What are the prime factors of 35387344? 2, 317, 6977 List the prime factors of 159734972. 2, 1601, 24943 What are the prime factors of 1890839825? 5, 7, 1697, 6367 List the prime factors of 281821329. 3, 10437827 List the prime factors of 126237146. 2, 7, 31, 290869 List the prime factors of 22501481. 67, 335843 What are the prime factors of 397404567? 3, 7, 233, 27073 What are the prime factors of 223034533? 613, 363841 List the prime factors of 68442784. 2, 29, 131, 563 List the prime factors of 55612935. 3, 5, 7, 176549 What are the prime factors of 88113208? 2, 101, 167, 653 What are the prime factors of 160788896? 2, 631, 7963 What are the prime factors of 119113433? 119113433 What are the prime factors of 2206775? 5, 103, 857 What are the prime factors of 151682213? 821, 184753 What are the prime factors of 8822690? 2, 5, 127, 6947 What are the prime factors of 213120186? 2, 3, 35520031 List the prime factors of 1213708596. 2, 3, 157, 701, 919 What are the prime factors of 66352765? 5, 2239, 5927 What are the prime factors of 3162475875? 3, 5, 13, 139, 359 List the prime factors of 5988285430. 2, 5, 383, 521, 3001 List the prime factors of 416671642. 2, 208335821 List the prime factors of 513310621. 14879, 34499 What are the prime factors of 160114348? 2, 41, 976307 What are the prime factors of 86800702? 2, 19, 2284229 List the prime factors of 270121590. 2, 3, 5, 3001351 List the prime factors of 90786242. 2, 45393121 What are the prime factors of 76342845? 3, 5, 43, 118361 List the prime factors of 31304471. 11, 1163, 2447 What are the prime factors of 1328785731? 3, 7, 13, 1622449 What are the prime factors of 237805712? 2, 31, 47, 101 List the prime factors of 9203842
{ "pile_set_name": "DM Mathematics" }
6 - 3)*(-2 - 3 + 2)). 2*j Expand 14*o + 11 - 11 + (6 - 12 - 2)*(2*o + 0*o - 4*o) - 3*o - 2*o + 4*o. 29*o Expand (2*c**2 + c**2 - 5*c**2)*(-c - 4*c + 31*c + (-2 + 3 - 2)*(1 + c - 1)). -50*c**3 Expand (-3 + 3 - n**2)*(7*n**3 - 18*n**3 + 6*n**3) + (3*n + 4*n - 5*n)*(-n + 7*n - 3*n)*(2*n**3 + n**3 - 2*n**3). 11*n**5 Expand -7*i - 18*i + 15*i + (2 - 5 + 4)*(i + 3 - 3). -9*i Expand (-3*c**2 + 6*c**2 - 2*c**2)*(-2*c + 3*c - 4*c)*(-263*c + 419*c - 221*c). 195*c**4 Expand (0*d - 2*d + 3*d)*(4 - 4 - d)*(-94*d + 94*d - 27*d**2). 27*d**4 Expand (-16*d**2 - 2*d**2 + 79*d**2)*(2*d + d**2 - 2*d + (4 + 0 - 6)*(-d + d - 2*d**2) + 1 + d - d + 2*d**2) + (-d**3 - 3*d**3 + 2*d**3)*(0*d - 2*d + 0*d). 431*d**4 + 61*d**2 Expand 21258 + 2*a**3 + 2*a**4 - 21258 + 55*a + 0 + 0 + 2*a**4 + (-a**4 + a**4 - 2*a**4)*(-1 + 2 - 2). 6*a**4 + 2*a**3 + 55*a Expand (28 + 21 - 34)*(1 - 1 - v) - 6*v + 5*v - v. -17*v Expand (-3*a - 20*a**2 + 3*a + (2 + a - 2)*(-3*a + 3*a - a))*(6 + 1 + 0). -147*a**2 Expand (-4 + 4*p - 5*p + 2*p)*(-35 - 4*p + 35). -4*p**2 + 16*p Expand -1884*b**4 + 89 - 42 - 47 + 3*b**2 - 3*b**2 + 2*b**4 + (-3*b**2 + 4*b**2 + b**2)*(6*b**2 - b**2 - 4*b**2) - 5*b**4 + 2*b**4 + b**4. -1882*b**4 Expand -6*x**4 - 5*x**4 + 7*x**4 + (-x**3 - 2*x**2 + 2*x**2)*(4*x + x - 3*x) - x**4 - 4*x + 4*x + x - x - 2*x**4. -9*x**4 Expand (0 + 0 - f**3)*(-2 + 2 - 2)*(-4*f - 2*f - 5*f). -22*f**4 Expand (1 - 2 - 9)*(4*o + 2*o - 5*o)*(19 - 6 + 5). -180*o Expand (-39*j**2 - 20*j + 39*j**2 - 3*j**3)*(1 + 3*j**2 - 1). -9*j**5 - 60*j**3 Expand (-3*j + 7*j**2 + 4*j - 2 + 6*j**2)*(96*j - 78*j - 56*j). -494*j**3 - 38*j**2 + 76*j Expand (-d - 4 + 4)*(-2*d - 22*d + 25*d - 10). -d**2 + 10*d Expand (-3*g - 6*g - g)*(22 + 7 + 17). -460*g Expand (-305 + 5*q - 330 - 3*q)*(q + 1 - 1). 2*q**2 - 635*q Expand 0*k**4 - k**4 - 3*k**4 + (-k**2 - 11*k**2 - 17*k**2)*(k**2 + 0*k**2 - 2*k**2). 25*k**4 Expand -28*j**3 + 194*j**2 - 394*j**2 + 202*j**2 + 3*j**3 - 3*j**3 + 2*j**3 + (0*j - j - j)*(3 + 2*j**2 - 3) - 2 - j**3 + 2. -31*j**3 + 2*j**2 Expand (n + 2*n + 3*n)*(-4 + 3 + 0) - 2*n - 2 + 2 + (-5 + 3 + 4)*(-1 + 2*n + 1). -4*n Expand (-268*q - 61*q**2 + 268*q)*(4*q**2 + 0*q**2 + q**2). -305*q**4 Expand (-3*k - 2*k + 0*k + (1 + 2 - 1)*(-21 - 2*k + 21) - 3*k - 3*k + 5*k)*(-3 + 3 + 4*k**3). -40*k**4 Expand (-41 - 1 - 70)*(4*a - 3*a + a). -224*a Expand (6*a**2 + 243*a - 266*a + 100*a**2)*(a**3 + a**3 - 4*a**3). -212*a**5 + 46*a**4 Expand (0 - 2 + 25)*(-39*p + 1 + 90*p + 3*p**2 - 46*p). 69*p**2 + 115*p + 23 Expand (5*p - p - 3*p)*(-2 + 0 - 1) + (-2*p + 2*p + p)*(-19 + 2 + 3) + 4*p - 6*p + 0*p. -19*p Expand 2*l**4 - 3*l**4 - l**4 - 20*l**4 - 18*l**4 + 14*l**4 + (-4*l**3 + 4*l**3 + 8*l**3)*(-4*l + 4*l - 2*l). -42*l**4 Expand s**5 + 3*s**5 + 6*s**5 + (2*s**2 - 2*s**2 - 2*s**2)*(4*s**3 - 4*s**3 - s**3). 12*s**5 Expand (y**3 - y**3 - 2*y**3)*(-3*y**2 + 4*y**2 - 4*y**2) - 150*y**5 + 62*y**5 - 70*y**5. -152*y**5 Expand (8*p**4 - 2*p**2 + 3*p - p**4 - 11*p**4)*(-1 + 1 - 2*p + (0*p - 3*p + p)*(0 - 2 + 0) + 4*p - 3*p + 0*p - p + 2*p + 0*p - 22*p - 8*p - 17*p). 172*p**5 + 86*p**3 - 129*p**2 Expand -j**2 - 3*j**2 + 18*j**2 + (2*j + 2*j - 3*j)*(4*j - 2*j - 3*j) - 3*j**2 + 2*j**2 + 0*j**2. 12*j**2 Expand (-464 - 179 + 204 - 480)*(v**2 - v + v). -919*v**2 Expand (16 - 9 + 14)*(28*r**2 + 16 - 16) - 4*r + 2*r**2 + 4*r. 590*r**2 Expand (277*i + 50*i + 0*i)*(2 - 2 - 3). -981*i Expand (u + u - 1733 + 1552)*(2*u**2 - u**2 - 3*u**2). -4*u**3 + 362*u**2 Expand (-2*h**2 - 2*h**2 + 0*h**2)*(15*h - 36*h + 18 + 12*h). 36*h**3 - 72*h**2 Expand (-z + 2*z - 2*z)*(253 + 603 - 238). -618*z Expand (-3 - 2*l**2 + 4 + 0*l**2)*(-1572*l + 92*l**3 + 1572*l). -184*l**5 + 92*l**3 Expand (x**4 - x**4 + x**4)*(1 + 0 + 1) - 56*x**4 + 305 - 305 - x**4 - 2*x**4 + 2*x**4. -55*x**4 Expand 36*m**5 - 13*m**5 - m**5 + m**5 - 5*m**5 + 3*m**5 - 1 + 1 - 2*m**5 + (-m**4 + 0 + 0)*(-m + 0 + 0). 20*m**5 Expand (-2 + 2*t**2 + 2)*(-607*t**2 - 111*t + 111*t + 211*t**2). -792*t**4 Expand (107 + 39 - 15)*(x**3 + 4*x**5 - x**3). 524*x**5 Expand (-z**3 + z - z)*(-1 + 2*z + 1) + 31455*z**3 + 27*z - 31455*z**3 - z**4. -3*z**4 + 27*z Expand ((1 + 4*q - 1)*(-q + q - q**3) + (q**3 + q**3 - 7*q**3)*(2*q + q + 0*q))*(-4 + 0 + 3). 19*q**4 Expand 49256 - 37*p - 49256 + (3*p - 4*p - p)*(1 + 5 - 2). -45*p Expand (58 + 22 + 80)*(4*j + 2*j - 7*j). -160*j Expand (0*a**3 + 0*a**3 - 4*a**3)*(-8*a + 4*a + 6*a)*(5 - 4 - 4). 24*a**4 Expand -1 + 1 - w**3 + (3 + 0 - 4)*(w**3 + w**2 - w**2) + 2395*w - 2395*w - 318*w**3. -320*w**3 Expand (-48*w - 61*w + 26*w)*(-2*w**3 + 3*w**2 - 3*w**2)*(w - w + 3*w). 498*w**5 Expand (c**3 + 5*c**3 - 3*c**3)*(8 + 80 - 33)*(-2 + 6 - 3). 165*c**3 Expand (2822*s + 878*s**3 - 2822*s)*(-2*s - s + 2*s + (-2 - s + 2)*(-5 + 4 + 2) - 2*s + 2*s - 2*s). -3512*s**4 Expand (-68 + 32*s + 68)*(5*s**2 - 7*s**2 - 2*s**3 + 3*s - s). -64*s**4 - 64*s**3 + 64*s**2 Expand (-3*g**2 - g**2 + 3*g**2)*(-2*g**2 - 1 + 1)*(-104*g - 90*g + 185*g). -18*g**5 Expand (-277 + 277 + 2*h + 6*h**2)*(-1 + 1 + 1). 6*h**2 + 2*h Expand (-x**2 - 2*x**2 - 3*x**2)*(33 - 33 - 9*x**3) + 2*x**5 - 2*x**2 + 2*x**2. 56*x**5 Expand (-63 - 42 + 92)*(-2 + 2 + 2*o). -26*o Expand 0*y + 0*y - 4*y + (1 + 0 + 0)*(-3*y + 0*y + 5*y) + 0*y - 4*y - y. -7*y Expand (2*d**3 - d**3 - 3*d**3)*(-2 + d + 2 + (-1 + 6 - 3)*(d + 3*d - 3*d) + 0*d + 0*d + d + d - 2*d + 2*d - d + 3*d - d - 12*d + 9*d - 11*d). 16*d**4 Expand -57*k - k**5 + 57*k + 3 + (k**2 - k**2 + 2*k**3)*(-3*k**2 + k**2 + 3 - 2). -5*k**5 + 2*k**3 + 3 Expand (2*i**3 - i**3 + 4 + 2)*(82*i**2 - 243*i**2 - 68*i**2 + (-2 + 2 - i)*(3 - 3 - i)). -228*i**5 - 1368*i**2 Expand -3 - 5*b**3 + 3 + (-7*b**2 - 2*b**2 - 20*b**2)*(b - b + b). -34*b**3 Expand 13*z + 9*z**5 - 13*z + (120*z + z**2 - 120*z)*(3*z**3 - 2*z**3 + z**3). 11*z**5 Expand (-5 + 5 - 3*s - 2*s**4)*(18 + 38 + 34) - s**2 + s**4 + s**2. -179*s**4 - 270*s Expand (-6 - 8 + 5 + r)*(907*r - 909*r - r**2 + 1 + 0). -r**3 + 7*r**2 + 19*r - 9 Expand ((-1 + i**2 + 1)*(-2 - i + 2) - 3*i**3 + i**3 + 0*i**3)*(-35*i - 11*i - 21*i). 201*i**4 Expand (2 + 1 - 2)*(-l**5 + 2*l**5 - 2*l**5)*(-140 + 321 - 118)*(2 - 2 - 3). 189*l**5 Expand -10*p + 10*p - 13*p**4 + 3 + p**4 - 3 + (0*p**2 + 0*p**2 + 3*p**3)*(3*p - 6*p - 3*p). -30*p**4 Expand (2*z**2 + z - z)*(62 + 287 + 121 + 508). 1956*z**2 Expand (-2 - 3 + 7 - 1 - 1 + 1 + (7 + 0 + 6)*(3 - 6 + 1))*(2*h**5 + 0*h**5 + 0*h**5). -50*h**5 Expand (-2*k + 4 - 4)*(-6 + 2 + 2) + (-7 - 6 + 24)*(0*k + 0*k + k). 15*k Expand (2*c + 0*c + 2*c)*(-2*c + 2*c - c) + (c**2 + c**2 - c**2)*(2 + 1 + 2) + 2*c**2 - c**2 + 3*c**2. 5*c**2 Expand -4*h**4 - 12*h**2 + 12*h**2 - 9 + (3*h**3 - 3*h**3 - 2*h**3)*(h - 2*h + 3*h). -8*h**4 - 9 Expand (-1 + s + 1)*(s + 3 - 3)*(-226*s**3 + 98*s**3 + 176*s**3) - 4*s**5 + 1 - 1. 44*s**5 Expand (3*k - k + 0*k + (2 - 3 + 3)*(243*k - 73*k + 183*k))*((3 - 2 + 0)*(5 - 2 - 2) + (-5 + 4 + 3)*(-3 - 4 + 1)). -7788*k Expand h - 4*h - 4*h + (3 - 9 - 4)*(5*h + h - 4*h + (1 - 3 + 3)*(6*h - 4*h + 0*h)). -47*h Expand -126 - 123 + 255 + 22*t**3 + 6*t**3 - 3*t**3 - 4*t**3 + (-2*t - 6*t + 3*t)*(-t**2 + 3*t**2 - 4*t**2). 31*t**3 + 6 Expand (1 + 1 - 1)*(-1165*a + 11*a + 893*a - 1137*a - 2149*a). -3547*a Expand (g**2 - g**2 + g**2 + g**2 - 3*g + 3*g + g**2 + 0*g**2 + 0*g**2 + (-g - g + g)*(-3*g - g + 2*g) + 2*g**2 + 3*g - 3*g)*(6 - 8 + 12). 70*g**2 Expand (0*t + 0*t - 4*t)*(6*t + 7*t - 2*t + 2 - 2 - 2*t + (1 + 1 + 0)*(2*t - 5 + 5) + 2*t + 0*t + 0*t). -60*t**2 Expand (106*y**3 - 106*y**3 + 26*y**4)*(5*y - 3*y - y + (-y - y + y)*(-3 - 2 + 4) + 2*y + 1 - 1 + (2 - 3*y - 2)*(5 + 3 - 3)). -286*y**5 Expand -14 + 14 + 13*j**2 + (j - 3*j + j)*(-7*j + 0*j + 3*j). 17*j**2 Expand ((4*i - 3*i - 3*i)*(-2 + 5 - 2) - 2 - 2*i + 2)*(2 + 1 - 5) + 71*i + 25*i - 149*i. -45*i Expand (10*o**4 + 4*o**4 + 2*o**4)*(0 + 3 - 1)*(0*o + 4*o - 7*o). -96*o**5 Expand (-8*d**3 + 9*d**3 + 4*d**3)*(-46 - 70 - 12). -640*d**3 Expand (-499 + 312 + 259)*(15 - 15 - 12*y). -864*y Expand (1 + 0 - 2)*(-4*y**5 - 3*y**5 + 6*y**5)*(248 - 17 + 111). 342*y**5 Expand (-13 + 54*q**3 - 4 + 18)*(-5*q**2 + q**2 + q**2). -162*q**5 - 3*q**2 Expand 0*k**2 - k**2 + 0*k**2 + (-k**2 - 3*k**2 + 2*k**2)*(4 + 0 - 1) - 71*k**2 - 49*k**2 + 16 - 16. -127*k**2 Expand (2 + 1 + 0)*(-3*g**3 + 4*g**3 - 3*g**3) + (2 - 1 + 0)*(-g**3 - 40*g**3 - 37*g**3) - 4*g**2 + g**3 + 4*g**
{ "pile_set_name": "DM Mathematics" }
t 0.6, -1/2, h, 4 in increasing order. -1/2, h, 0.6, 4 Let i(v) = -14*v**2 + 38*v - 16. Let u(a) = -5*a**2 + 13*a - 5. Let t(f) = 4*i(f) - 11*u(f). Let n be t(6). Sort -1/2, 4, n, 0.5 in descending order. n, 4, 0.5, -1/2 Let a = 13073 - 13073. Sort 4, a, 8, 12 in ascending order. a, 4, 8, 12 Let d = -6 - -5.7. Let l = 14225 + -14225.4. Let k = 1.1 + -0.6. Sort 3, l, d, k in ascending order. l, d, k, 3 Let y = 1.39 - 105.39. Let w = -104.1 - y. Put 25, -1, w in ascending order. -1, w, 25 Let c be (40/100 - (-358)/(-70)) + 5. Let g be 4/63 - (-4)/(-14). Put c, g, 11 in decreasing order. 11, c, g Let w(s) = s**3 + s**2 + 12. Let i be w(0). Suppose -i*o = -48 + 12. Sort -4, o, 9 in ascending order. -4, o, 9 Let c(k) = -4*k - 392. Let b be c(-97). Sort 3, -5, -6, 23, b in ascending order. -6, -5, b, 3, 23 Let q be (-7 - -1)*305/(-366). Let t(g) = 2*g**2 - 7*g - 23. Let h(i) = i**2 + i - 1. Let r(a) = 3*h(a) - t(a). Let x be r(-6). Sort x, q, 0. x, 0, q Let l = 47/3 - 15. Let q be (4 - 7)*-4 - -2*(-630)/108. Sort q, 0.07, l, -0.3. -0.3, 0.07, q, l Let k = -2.9 - -3.01. Let v = -28 + 28.09. Let j = k + v. Put 0.3, j, -1/4, 1 in increasing order. -1/4, j, 0.3, 1 Let d = -2223 + 2234.7. Put d, 5, 0 in ascending order. 0, 5, d Let t be 13 + (1815/12)/(-11). Put 2/9, 3, 2, t, 4/9 in decreasing order. 3, 2, 4/9, 2/9, t Let u = 70 + -69.7. Let d = -0.053 + -0.047. Let c(x) = 2*x**3 + 16*x**2 + 3*x + 20. Let l be c(-8). Put d, u, l in decreasing order. u, d, l Let t = -122 + 121.739. Let w = 0.661 + t. Sort w, -4, -10, -5 in descending order. w, -4, -5, -10 Let n = -11 - -16. Suppose 3*b - b = 2*s + 18, 0 = 4*b + 5*s - 27. Suppose -g + b = 7*g. Put -3, n, g in descending order. n, g, -3 Suppose 0 = 68*l - 66*l + 4*w + 1608, 0 = 4*l - w + 3171. Sort 3, l, -5 in ascending order. l, -5, 3 Let r = 65 + -47. Suppose -8*v + r + 22 = 0. Let x be ((-8)/(-20))/((-7)/(-70)). Put v, x, 0 in descending order. v, x, 0 Let v be (-1)/((236/48 + -5)/(2/(-6))). Put -12, v, -15, 22 in increasing order. -15, -12, v, 22 Let v be 2/20*15/(-6). Let f = 29.63 - -125.47. Let r = 155 - f. Sort -5, v, 0.5, r. -5, v, r, 0.5 Let o = -2244 + 2525. Sort 1, o, -3. -3, 1, o Let q be ((-306)/27)/((-2)/90). Let h = 509 - q. Sort -2, h, 31. -2, h, 31 Let y be -6 - 287/(-2856)*62. Let m = y + 1/51. Let g = 2 + 0. Sort m, -2, 0.1, g in descending order. g, m, 0.1, -2 Let s = -21409.9 + 21410.9. Let v = -131 - -76. Sort s, 3, v in decreasing order. 3, s, v Let b = 96 + -175. Let m = -107 - -77. Let w be (-2)/(m/9) - 1. Put w, 1/6, b in ascending order. b, w, 1/6 Let y = 38.18 - 38.08. Let a = 7.3 - 1.3. Let q = 9 - a. Put q, y, 1/5 in descending order. q, 1/5, y Let z(a) = 30*a - 240. Let k be z(8). Suppose 17*b - 2*b = k. Sort b, 22, -4, 5 in decreasing order. 22, 5, b, -4 Let x = 1656 + -1656. Sort -3/8, x, -0.06, 2 in ascending order. -3/8, -0.06, x, 2 Suppose -5*m + 66 = 36. Let c(d) = d - 8. Let o be c(m). Sort -6, o, -1 in increasing order. -6, o, -1 Suppose -36*b + 36135 = -45*b. Let p be 6/10 - (-1679)/b. Put 0.5, p, -5, -7 in descending order. 0.5, p, -5, -7 Let j = 35 + 60. Let w(k) = 3*k**3 - 14*k**2 - 15*k + 1. Let i be w(-1). Sort i, 4, j in ascending order. i, 4, j Let d be -8 + 7/1 + -1. Let v be ((-297)/30 - -11)*4/d. Put v, -1/8, -5 in descending order. -1/8, v, -5 Let l = 35.03 - 107.03. Sort 3/4, 0.5, l in decreasing order. 3/4, 0.5, l Let y = -29447 + 29447. Suppose 2*o + 5*h + 2 + 7 = 0, -5*h = 5*o + 15. Sort -5, o, -3, y in decreasing order. y, o, -3, -5 Suppose y - 5*v = -25, -214*y = -212*y - 3*v + 15. Sort -11, 4, -5, y. -11, -5, y, 4 Suppose -5*q + 8*q = 5*d - 19, 0 = d - 5. Let u = 2 + -6. Let x = -8 - u. Put 5, q, x in decreasing order. 5, q, x Let u be (8/(3 + -1))/(-1). Let d(t) = t**2 - 21*t + 79. Let z be d(18). Let c be 5/z*0/(-1). Put -7, c, u in ascending order. -7, u, c Let g(z) = -2*z**3 - 14*z**2 + 168*z + 1200. Let r be g(-8). Sort -2, -6, 0, 4, r in ascending order. r, -6, -2, 0, 4 Suppose -2*t = 4*j + 12, -19*t = -17*t - 4. Sort 421, j, -29. -29, j, 421 Let r = -0.06568 - 0.13432. Put -2, r, 2/7, -0.1, 8/129 in descending order. 2/7, 8/129, -0.1, r, -2 Suppose 0 = -0*f - f. Suppose x - 5*x - 12 = f. Let t be 14*-7*22/539. Put 1, x, t in ascending order. t, x, 1 Let y be (3 - 234/66)/(6/(-88)). Sort y, 3, 4, 5, -5 in descending order. y, 5, 4, 3, -5 Let c = -1.1 + 1. Let r = -27239 - -27249. Sort c, -0.4, r, -2/11 in decreasing order. r, c, -2/11, -0.4 Let b = -53 - -119. Suppose -5*a = b - 181. Let n = -53 + a. Sort -2, n, 3 in increasing order. n, -2, 3 Let f be (-8)/(-10) - (-62031)/(-345). Sort -3, f, -6 in ascending order. f, -6, -3 Let u(y) = -2*y - 3. Let o be u(-2). Let t be o + (16/100)/(2/10). Put 5, t, 1 in descending order. 5, t, 1 Let d be (64/320)/(9/72*1*-2). Put -2/7, d, -853 in descending order. -2/7, d, -853 Let s = -25 - -24. Let g be -4*((-58)/(-6))/(12/(-9)). Sort g, -5, s in descending order. g, s, -5 Suppose 16*y + 9*o + 57 = 13*y, 5*y + 29 = -4*o. Sort y, 0.1, 9/26 in descending order. 9/26, 0.1, y Let x = 31 + -28.2. Let w = -0.389 + 2.189. Let u = w - x. Sort 0.2, 2/3, u in increasing order. u, 0.2, 2/3 Let i = -464 - -463. Let s = 1077 - 1075. Let j = -0.08 - 4.92. Sort -2, j, i, s. j, -2, i, s Let m(h) = -4*h**2 + 244*h - 244. Let y be m(60). Sort -18, y, 10. -18, y, 10 Let n = -118.94 + 115.94. Sort 123, 0, n in decreasing order. 123, 0, n Let v be (2/6)/((-3)/3). Let c = -0.56563 + 0.06563. Sort 1, c, v, -33 in ascending order. -33, c, v, 1 Let h = 3 - 2. Let p(i) = -6*i - 21. Let r be p(-11). Suppose -r = -63*s + 54*s. Put s, 3, -3, h in descending order. s, 3, h, -3 Let c be (-452)/(-60) + -2 + 276/(-30) + 9. Sort 5, 2/311, c in ascending order. 2/311, 5, c Let o(i) = -2*i**3 + 12*i**2 - 17*i + 98. Let h be o(5). Sort h, 1, 5 in decreasing order. h, 5, 1 Let u be 3 - (6/6)/((-2)/(-2)). Let p(z) = -z**2 - 19*z + 39. Let a be p(u). Put a, -2, 188 in increasing order. a, -2, 188 Let h be -2 - (-2)/(-4)*2. Let i = -400 - -598. Let l be 18/(-63) - i/42. Sort 1, 5, h, l in descending order. 5, 1, h, l Suppose -2*i + 0 + 6 = 0. Let p = 744700 - 744701. Put p, 38, i in decreasing order. 38, i, p Suppose -135*w + 1548 = -72. Sort w, 0, 13. 0, w, 13 Let o = 14 - 26. Let q = 621 + -617. Sort -2, o, 3, q in increasing order. o, -2, 3, q Let p(x) = x**2 + 5*x + 3. Let y be p(-5). Suppose w = -8 - y. Let q be (-1700)/(-150) - (1 + 10). Sort q, w, -1/2. w, -1/2, q Let d = 4 - 3.9. Suppose 591 = 128*b + 33*b + 36*b. Sort d, -2/27, -4, b in ascending order. -4, -2/27, d, b Let r be 528/(-42) + 9 - 8/(-14). Suppose 0 = 3*w - 2*w, 3*w = 5*a - 40. Let k be 10/(-4)*a/(-5). Put r, k, 2 in increasing order. r, 2, k Let j be (-5)/(-1 - 0) + -1. Suppose 0 = -j*a + 6*a. Suppose 3 - 35 = 4*n - 2*f, 0 = n - 3*f + 13. Sort a, n, -4, 0.4 in ascending order. n, -4, a, 0.4 Let o be (0 + -1)*(-36)/4. Let r(n) be the first derivative of n**3/3 - 5*n**2/2 + 58. Let z be r(0). Put z, o, -1 in decreasing order. o, z, -1 Let c = -3006.42 - -2929. Let d = c - -77. Let l = d + 0.22. Sort 1, -4, l in ascending order. -4, l, 1 Suppose -2*z - 66 = -3*g, -65*z + 147 = -70*z + 3*g. Let s = 242 - 246. Put 3, z, s in decreasing order. 3, s, z Let d(a) = 3*a**2 + a + 2. Suppose -n + 4*y = 38, n = -2*n - y - 75. Let u = 25 + n. Let z be d(u). Sort z, -1, -6 in descending order. z, -1, -6 Let h(l) = -3*l**3 + 4*l**2 - 7*l - 23. Let w be h(0). Put w, 0, 3, -3 in decreasing order. 3, 0, -3, w Let r = -168 + 198. Let k = 28 - r. Put k, 1, -1, 0.1 in descending order. 1, 0.1, -1, k Suppose -3*w + 15 = 2*q, -3*q - 2*w + 35 = 20. Put -2, q, -26 in decreasing order. q, -2, -26 Let y be 1268/(-951)*(-1 - 1/2). Sort y, -5, 0, 65 in ascending order. -5, 0, y, 65 Let l = -753.7 + 753.485. Let k = -0.3 + 0.385. Let d = k - l. Sort 0.2, 0, -2/3, d in increasing order. -2/3, 0, 0.2, d Let l = 1 - 4. Let h = 0.38 - -0.02. Let y = 1220 + -1220.1. Put h, l, 3/5, y in increasing order. l, y, h, 3/5 Let y(c) = -154*c + 157. Let m be y(1). Sort -100, 0, -4, m in decreasing order. m, 0, -4, -100 Suppose -117*c + 296 = 31*c. Sort c, -9, -2 in descending order. c, -2, -9 Let i be (-1)/5 - (6/5)/3. Put -1/2, -0.9, -12, 5, i in descending order. 5, -1/2, i, -0.9, -12 Let y = 1975.06 + -1975.
{ "pile_set_name": "DM Mathematics" }
t w be ((-1)/(2/(-4)))/(-10). What is the third smallest value in -20/7, w, -0.4? w Let i = -15432/7 + 2205. Which is the third smallest value? (a) 0.065 (b) -2 (c) i c Let o be (-2 - -1) + 0/1. Let x be -6 + 0 - 2/o. Let h = -3 + 3.2. What is the second smallest value in h, x, 2? h Let z = 967.1 - 965. Which is the biggest value? (a) z (b) -0.3 (c) -8 a Let f = 4.71 - 5.21. Which is the biggest value? (a) 1/5 (b) 9 (c) f b Let o = 728 - 706. Let t(h) = h**3 + 2*h**2 + 2. Let f be t(-2). Suppose -4*u + f*d + o = 0, -16 = 4*u - u + 5*d. What is the third biggest value in -4, u, 0.5? -4 Suppose 0 = 37*y + 358 + 1418. What is the smallest value in 3/5, y, -1/4, 0.1? y Let k = -5 + 4.6. Let u = 46 - 45.727. Let z = u - -0.027. What is the second smallest value in k, -3, z? k Let t(j) = 2*j**2 - 11*j + 19. Let y be t(5). Let i be (-30)/75 - 2*y/80. What is the third biggest value in -0.3, -1/26, i? i Let w = 0.14 + 6.86. Let s be (-6)/(-7) - (1 + 0). Let l = -6766 + 6765.8. What is the biggest value in w, l, s? w Suppose -4*q = -q + 24. Let i(b) = -b**2 - 7*b + 10. Let c be i(q). Let g be (c/(-9))/((-11)/33). What is the second smallest value in g, -4, -4/9? -4/9 Let n = -0.1 + 0.1. Let j be (-108)/(-18)*(-8)/84. What is the second smallest value in j, -1/4, n? -1/4 Suppose -2*g - 2*g + 16 = 0. Let d = -2079 - -8267/4. Let z = d + 43/4. What is the smallest value in z, -5, g? -5 Suppose -58 = -3*y - 52. Suppose t - 4*n - y = 0, 0*n - 2 = -t - n. Let p = -177/7 + 25. What is the second smallest value in -3/4, t, p? p Let d = -515 + 514.6. Which is the smallest value? (a) -3/2 (b) d (c) -2 c Let h be 3*(7 + -3 + 1). Suppose -5*m - 56 = 4*q, -2*q - 23 = -m - 9. Let o be (-12)/q*h/(-190). What is the second biggest value in o, -0.1, 3/2? -0.1 Let r = 52 - 191. Let n = 59 + r. Let f be (-128)/n - 2*1. Which is the smallest value? (a) -0.5 (b) -26 (c) f b Let f = 4 + -6. Let v be (-15)/(30/(-4))*34/(-16). What is the biggest value in f, -3, v? f Let n be 7*6/924*11. Which is the third biggest value? (a) n (b) 0 (c) -0.3 c Let v = 341 - 339. What is the third biggest value in -17/6, -2, v? -17/6 Let y = 9.64 + 0.36. What is the fourth smallest value in 1/10, y, 1, 0.2? y Let t = 2.9 - 0.3. Let p = 0.6 - t. Let f be (-141)/45 + 3/1. Which is the biggest value? (a) 1/3 (b) f (c) p a Let q = -6.69 - -0.69. Let i = -11 - q. What is the second biggest value in i, -0.4, -0.9? -0.9 Let y be 2020/(-300) + (7 - 2). Which is the second smallest value? (a) 0.3 (b) -0.4 (c) y b Let z be 2/3*9/21. Let d = -190 - -187. What is the biggest value in -4, d, z? z Let o be (-14)/6 - (24/3)/48. Which is the second smallest value? (a) 0.4 (b) o (c) -3/19 c Let v = -37.6 + 38. Let l = -2817/82 + -6/41. Let x = 36 + l. What is the second smallest value in x, v, 0.3? v Let w(o) = 3*o**2 - 14*o + 46. Let t be w(8). Let s be (-72)/t*14/(-20). Which is the third smallest value? (a) 0.5 (b) 0 (c) s a Suppose 5*s = q + 17, 4*q - q = -3*s + 39. Suppose 3*y + 40 = q*y. Let t be (y/6)/((-8)/12). What is the second smallest value in 1, t, -3/4? -3/4 Let c be (-23)/69 - (-2)/12. What is the third biggest value in c, -442, 3/7? -442 Let j = -0.28 - -0.48. Let d = -20 + 13. What is the fourth smallest value in d, -0.02, j, 0.4? 0.4 Let z = -0.3 - -0.6. Let n be ((-8)/6)/((-24)/252). Let o = 27/2 - n. Which is the biggest value? (a) z (b) 3 (c) o b Let z = 4771.1 - 4971. Let n = z + 173. Let v = n + 27. Which is the second smallest value? (a) -0.5 (b) v (c) -0.02 c Let l be (-2)/(-9) + (-8)/(-18). Let c = 268/7 + -271/7. What is the biggest value in c, 1, 3, l? 3 Let y = -4.907 + -0.093. Which is the second smallest value? (a) -2/183 (b) y (c) -2/7 c Let r = 14.5 + -20.6. Let g = 6.1 + r. Let t = -0.2 - -0.6. Which is the second biggest value? (a) t (b) g (c) 3/16 c Let b = -86 + 1288/15. What is the second biggest value in 2/5, -0.1, -0.06, b? -0.06 Let t = -233 + 232. Which is the second biggest value? (a) t (b) 4 (c) -5 (d) 1/6 d Let n = 3.6 + -6.9. Let j = n - -15.3. Let i = j - 13. What is the second smallest value in -0.02, i, -2/5? -2/5 Suppose -4*p + 12 = 5*k, -5*p - 6*k + 4*k = 2. Which is the second biggest value? (a) -0.4 (b) p (c) 0.56 a Let p = 46.2 - 42. Let u = 1.777 + 1.723. Let h = u - p. What is the smallest value in h, 3, -0.2? h Let w = 5.9602 - 0.9602. Let g = -2 + 1. Let y = 0.99 + g. What is the third biggest value in 2, w, y? y Suppose -5*q = 114 + 1176. Let m = q + 3352/13. What is the second biggest value in -4, 0.4, m? m Let f(h) = -h**2 + 17*h + 18. Let v be f(18). Suppose 4*t - 5*s - 21 = v, 2*t - 4*s + 0*s - 12 = 0. Let n be 2/2*2/(-9). What is the biggest value in 5, n, t? 5 Let u = 100.3 + -107. Let q = -0.7 - u. What is the third biggest value in 3, q, 0.4, -4? 0.4 Let f = 183 - 131. Let t = 56 - f. Let l = 5/13 + -33/52. Which is the third biggest value? (a) t (b) 5/4 (c) l c Let w be -23546642744*(4/(-15064) + 0). Let b = w - 6252428. Let p = 2/269 + b. What is the third smallest value in 5, -0.2, p? 5 Let l be (-3 + (-7 - -1))*1/(-21). What is the smallest value in l, -6, 0.5? -6 Let w = -3.4 - -3. Let s = 51 - 18. Let r be (-2 - 4/(-8))/(s/4). Which is the second smallest value? (a) -1 (b) r (c) w c Let m = -0.2 - -1.6. Let t = m - 0.4. Suppose 24*g + 4 = -44. Which is the smallest value? (a) g (b) -0.01 (c) t a Let n = 97.1 - 9.1. Let x = n - 88.3. Which is the fourth smallest value? (a) 1/4 (b) x (c) -3 (d) -0.8 a Let q(i) = -2*i**2 - 3*i + 2. Let r be q(1). Which is the third smallest value? (a) 2/7 (b) 14 (c) r (d) 4 d Let v be (-4)/14*8/(-8). Let r be -1 + 7 - (-12 - 189/(-9)). Let u = 61/5 - 57/5. Which is the smallest value? (a) v (b) u (c) r c Let j = 610.6 + -611. Let k = 4 + -3.6. Let f = k + j. Which is the second biggest value? (a) f (b) -1/2 (c) -2/3 b Suppose -19*l + 3 = -20*l. Which is the fourth biggest value? (a) l (b) 0.1 (c) -7/5 (d) -5 d Let a = 107 - 112. What is the third biggest value in 18, 1, a, 0.5? 0.5 Let o = -0.23 + -2.97. Let d = 3.1 + o. Let m = 7 + -4. Which is the second biggest value? (a) -0.4 (b) m (c) d c Let x(z) = z**3 - 2*z**2 + 4*z - 3. Let v be x(0). What is the fourth smallest value in 0.7, 4, -5, v? 4 Let f be (7 + -9)/((-4)/18). Suppose -q + f = 3*h - 0, 0 = 5*q + 4*h + 10. What is the third smallest value in 3, 2/7, q? 3 Let l be (2/10)/((-3)/(-6)). Let z = 2.84 + -2.9. Let t = z - -0.56. What is the smallest value in l, t, 3/2? l Suppose l - 5 = -6. Let a(v) = 30*v - 3. Let g be a(1). Let x be (9/g)/(24/(-9)). What is the third biggest value in -1/7, x, l? l Let y = 0.022 - -0.178. What is the third smallest value in -0.5, 0.3, -2/7, y? y Let l = 2.08 - -0.92. Which is the third smallest value? (a) 19 (b) l (c) -0.5 a Let v be (-286)/13 - (-1 + -1 - -1). Let g = v - -29. What is the third smallest value in 1/6, g, -1? g Let j = 2063/9 + -229. Let c(u) = 2*u**3 + 9*u**2 + 6*u + 8. Let i be c(-4). What is the second biggest value in j, i, 3? j Let i = 2849/4 - 712. What is the smallest value in -0.5, -0.2, -31, i? -31 Let h = 79 - 77. Suppose -7*i + 117 = 2*i. Which is the fourth smallest value? (a) 5 (b) h (c) i (d) 2/9 c Suppose -14*m + v = -18*m + 5, 0 = m - v. What is the biggest value in -3, 2, m, -4? 2 Let h = 2090 - 2086. Which is the second biggest value? (a) h (b) 2 (c) -0.042 b Suppose 0 = 120*r - 88*r - 192. What is the biggest value in -11, 3/4, -3, r? r Let g = -12.5 + 13.5. Let m be -1 - -5*2/4. Which is the second smallest value? (a) g (b) 5 (c) m c Let z = -0.2413 - 0.0587. Which is the second biggest value? (a) 0.2 (b) z (c) -1/2 (d) -5/2 b Let o = 13 + -17. Which is the second smallest value? (a) -2/17 (b) 1/5 (c) o a Let s = 18 + -19. Suppose 0 = -4*w - 2 - 6. Suppose 0 = 2*x + 4*u - 8, 3*x + u = -2*x + 11. Which is the third smallest value? (a) x (b) w (c) s a Let q(y) = 2*y**3 + 8*y**2 - y - 7. Let v be q(-4). What is the biggest value in v, 5, 0? 5 Let y = 748.4 + -748. Let d(s) = s - 2. Let h be d(6). Let i be h/(-15) - 2/5. What is the second biggest value in y, i, -0.2? -0.2 Let t = -1959 + 1963. Which is the smallest value? (a) 3/5 (b) 6 (c) t a Let g = -332.8 + 333. What is the
{ "pile_set_name": "DM Mathematics" }
288 + v. What is p rounded to 4 dps? 0.0001 Let p = -467631 + 467630.070039. Let i = -163 + 163.93. Let k = p + i. What is k rounded to five dps? 0.00004 Let k = 2.541712 + -2.556. Round k to four decimal places. -0.0143 Let y = -5470.75226 - -5461.05225323. Let g = y - -9.7. Round g to 7 dps. -0.0000068 Let i = -10225 - -10224.99994759. Round i to 6 decimal places. -0.000052 Let n(k) = -7612*k + 62. Let c(b) = 7612*b - 63. Let m(l) = 2*c(l) + 3*n(l). Let v be m(5). Round v to the nearest 10000. -40000 Suppose 1724*h - 1708*h = 1450884 + 3153916. Round h to the nearest 10000. 290000 Let d = 197248604 - 197249360.9998355. Let t = 757 + d. Round t to 5 decimal places. 0.00016 Suppose 27 = d - 6*d + n, -4*d + 5*n = 9. Let f be (212/d)/(18/3753). Let y = 1367 + f. Round y to the nearest ten thousand. -10000 Let t be 2/(-12) + 604859394/(-36). Let p = t - -11101650. Round p to the nearest 1000000. -6000000 Let a = 1634.1 - 1805.79. Round a to the nearest 10. -170 Let p = 29.84 - 25.9. Let w = 3.93999686 - p. What is w rounded to 7 dps? -0.0000031 Let j = 1164.7728 - 1164. Let l = j + -0.79. Round l to 2 decimal places. -0.02 Let j be (-751632008)/(-56) + (-7)/49. What is j rounded to the nearest one million? 13000000 Let v = 154 + -161.814. What is v rounded to 2 decimal places? -7.81 Let t = 18956 + -18956.0044387. Round t to three decimal places. -0.004 Suppose 5*j = 9 + 1. Suppose j*p - 55 = -3*p. Let r = -87 - p. Round r to the nearest 10. -100 Let i = -66.882 + 64.9. Let t = -2.32 - i. What is t rounded to 1 dp? -0.3 Let a = 11634 + -11633.9938532. Round a to five dps. 0.00615 Let r = 926.01 - -5921.69. Round r to the nearest ten. 6850 Let k = -22.56 + 23. Let w = 14.44 - k. Let p = w + -14.00041. What is p rounded to four dps? -0.0004 Let d = -540970 - -540969.9411687. Let t = d - -0.0588. Round t to 5 decimal places. -0.00003 Let k = 263 + -116. Let f = 147.00000214 - k. Round f to 7 decimal places. 0.0000021 Let v = -3743.999999126 + 3744. What is v rounded to 6 decimal places? 0.000001 Let m = -1177.7 - -1251. Let g = -77 + m. Let i = 3.707 + g. What is i rounded to 2 decimal places? 0.01 Let w = -1261.6 + 1261.588867. Round w to 3 decimal places. -0.011 Let m(c) = -22*c + 268. Let u be m(16). Let s be 48599/(-1) + u + 83. What is s rounded to the nearest ten thousand? -50000 Let z = -67.1 + -662.9. Let x = -729.997764 - z. What is x rounded to four decimal places? 0.0022 Let u = 2904.984 - 2897. What is u rounded to 1 dp? 8 Let u = 344.4 + -0.4. Let h = -328.004 + u. Let f = h + -16. Round f to three dps. -0.004 Let v = -351.0604 + 0.0604. Let f = 351.000036 + v. What is f rounded to six dps? 0.000036 Let s = -0.4169 + 0.2558. Let j = -9.8779 + s. Let y = 10.1 + j. Round y to two dps. 0.06 Let j = 305209 - 305262.7068. Let d = -106 + 159.8. Let l = d + j. What is l rounded to 2 dps? 0.09 Let a = -2624357 + 3941157. What is a rounded to the nearest ten thousand? 1320000 Let w = -4156.00001218 - -4156. Round w to 6 decimal places. -0.000012 Let p = -15117.4 - -3531.1. Round p to the nearest 1000. -12000 Let f = -361 - -59. Let j = 169 + f. Let b = -132.999999208 - j. Round b to seven dps. 0.0000008 Let i = -15307.947 - -15319. What is i rounded to one decimal place? 11.1 Let h = 10543.00010337 - 10543. Round h to 5 dps. 0.0001 Let w = -0.3114 - -1.2418. Round w to one decimal place. 0.9 Let a = 10.739 - 2.371. Let i = a + 53.6212. Let o = 62 - i. Round o to 3 decimal places. 0.011 Let f = 10789.99965262 + -10790. What is f rounded to six dps? -0.000347 Suppose 622623 - 2170943 = -16*q. Round q to the nearest 10000. 100000 Let k = 342 + -257. Let g = -85.001215 + k. What is g rounded to four dps? -0.0012 Let f = -0.500602 - -0.57034. Let z = f + -10.469964. Let t = 10.4 + z. Round t to 5 decimal places. -0.00023 Let x = 40.0500825 + -40.05. What is x rounded to 5 decimal places? 0.00008 Let s = 4278 + -4265.782. What is s rounded to 1 dp? 12.2 Let a(p) = -329*p + 89. Let h be a(4). Let w = h - -6687. What is w rounded to the nearest one hundred? 5500 Suppose 2*v = 5*i - 2 - 4, 2 = -4*v + 5*i. Suppose -4*j + 0*j - 2*h = -26, 3*j - v*h - 23 = 0. Suppose j*p - 18969 - 6231 = 0. Round p to the nearest 1000. 4000 Let h = -176187 - -507357. Round h to the nearest 1000. 331000 Let x(n) = 2*n**2 + 3*n - 7. Let q be x(-3). Suppose -5*k + 80499980 = -5*z, -5*k - q*z + 31664979 = -48835029. Round k to the nearest one million. 16000000 Let a = -4455 - -5136.6. Let j = a + 20.4. Let n = -701.99307 + j. Round n to three dps. 0.007 Let p = -601082.5633 + 601056. Round p to one decimal place. -26.6 Let d = 21.6988 - 0.0888. Let u = -0.39 - d. Let r = u - -21.88. What is r rounded to 2 decimal places? -0.12 Let n = -1.04 + 7.42. Let q = n + -6.4303. What is q rounded to two dps? -0.05 Suppose -4*r + 2*r + 6 = 0, 62040012 = -4*w + 4*r. Round w to the nearest one million. -16000000 Let m = -987 - -986.146. Let w = m - 0.029. What is w rounded to 1 decimal place? -0.9 Let k = 64947 + -35523. Suppose 2*t - k = 116746. Suppose 11*l + t - 18635 = 0. What is l rounded to the nearest 1000? -5000 Let o = 5585.4 - 6511.62. What is o rounded to the nearest 10? -930 Suppose 0 = -154*t + 153*t + 2*r - 370954, 2*t = -4*r - 741932. What is t rounded to the nearest one hundred thousand? -400000 Let k(o) = -o**3 + 16*o**2 + 15*o + 50. Let l be k(17). Suppose -l*n - 89500106 = 107299894. What is n rounded to the nearest one million? -12000000 Suppose -3*c + 16 = 4. Let s be 40295 - (2/(-2) - c). Round s to the nearest 10000. 40000 Let h be (-1 + 1 - 4)/(59 - 61). Suppose 500235 + 379766 = h*a - r, 2*a = 4*r + 880004. Round a to the nearest 100000. 400000 Let m = 2.28189118 + -485.28409618. Let s = -483 - m. Round s to four decimal places. 0.0022 Let o = -8933 - -8931.7012. What is o rounded to two dps? -1.3 Let i = 73860 - 186210. Round i to the nearest 1000. -112000 Let o(i) = -322009*i - 8. Let j be o(-8). Let c be j/16 - (4 - 0). What is c rounded to the nearest 10000? 160000 Let g(c) = -212*c + 675. Let o be g(-38). Round o to the nearest one thousand. 9000 Let u = -7127310 - -11267146. Suppose 0 = -5*n - 9160164 - u. Round n to the nearest 100000. -2700000 Suppose 5*l - 73070 = -2*c, -2*c + 25744 = -3*l - 47310. Round c to the nearest 1000. 37000 Let v = 4.68 - -426.32. Let m = v - 431.0000779. Round m to 5 decimal places. -0.00008 Let r = 4113 + -4112.99164. Round r to 3 dps. 0.008 Let c = 748.6 - 840. Let p = -15.6 - c. Let k = -83.83 + p. What is k rounded to 0 dps? -8 Let q = 290.9 + 17.1. Let z = -308.00000103 + q. What is z rounded to 6 dps? -0.000001 Let h(k) = 132999*k**2 + 19*k + 95. Let x be h(-8). Suppose u + 3*b - x = 5918127, -5*u = -5*b - 72149990. Round u to the nearest 1000000. 14000000 Let o = 67 - -105. Let n = 171.99999236 - o. What is n rounded to seven decimal places? -0.0000076 Let o be (-95256)/(-10) - (-2 + ((-136)/40 - -5)). Round o to the nearest 100. 9500 Let v(g) = -3*g - 21. Let h be v(8). Let u = 85 + h. Let y be (-4)/(-10) + (-96)/u - -4. Round y to the nearest ten. 0 Let k = 32050483 + -32050482.194329716. Let a = k + -8.805669104. Let h = a - -8. Round h to seven dps. 0.0000012 Let b = -26 + -149. Let x = -122 - b. Let q = 52.899 - x. Round q to two dps. -0.1 Let h = 45827 + -45826.954638. What is h rounded to 2 decimal places? 0.05 Let l = -288 - -315. Let s be (-5760)/l*(-1248 - -3). What is s rounded to the nearest 10000? 270000 Let d = -0.0941 - -36.0941. Let q = -134807745.0000013 + 134807709. Let l = d + q. What is l rounded to 7 decimal places? -0.0000013 Suppose -161*m - 60*m - 669366771 = -238962641. Round m to the nearest one hundred thousand. -1900000 Let x be 794*(-42)/4*(-2168)/(-24). Let y be ((-2)/(-4))/(3/(-1160673))*-2. Let b = y - x. What is b rounded to the nearest one hundred thousand? 1100000 Let k = 15003 - 15124.34. Round k to 0 decimal places. -121 Let a = 1.433 - -809.567. Let t = a + -902.6. What is t rounded to zero dps? -92 Let s = 74184 - 48908. Let m = 25095.826 - s. Let f = 180 + m. What is f rounded to two decimal places? -0.17 Let x = 0.276 - 121.276. Let f = x + 117.71. Let v = f - -3.431. What is v rounded to 2 dps? 0.14 Let w = -250776.387653 + 0.387653. Let i = -250884.941 - w. Let s = i - -109.
{ "pile_set_name": "DM Mathematics" }
qrt(8)/sqrt(4) + sqrt(2)) + 2. 2 + 8*sqrt(11)/3 Simplify (((3*sqrt(1440))/sqrt(8))**2 - (((-3*sqrt(120) - sqrt(120)) + sqrt(120))/sqrt(6) + sqrt(20))/sqrt(4))*-6. -9720 - 12*sqrt(5) Simplify -3*(1 + sqrt(312)/sqrt(6) - 3*sqrt(832)). -3 + 66*sqrt(13) Simplify 4*(sqrt(19) + sqrt(684)*-5 + (sqrt(190)/(sqrt(20)/sqrt(2)))**2) + -4. -116*sqrt(19) + 72 Simplify (-3 + 4*sqrt(12)/sqrt(4))*-2 + sqrt(33)/(sqrt(77)/sqrt(7)) + (sqrt(99)/sqrt(3) + sqrt(33) + sqrt(33))/sqrt(11). -4*sqrt(3) + 6 Simplify 3 + sqrt(6)/sqrt(2) + -3 - (1 + sqrt(75))**2*6. -456 - 59*sqrt(3) Simplify -5 + 2*(4 + -2*sqrt(1053) + sqrt(13) + (1*sqrt(156) - sqrt(156))/sqrt(12) + 3). -34*sqrt(13) + 9 Simplify 1 + 3 + (sqrt(425) + 3 + (sqrt(425) - -2*sqrt(425) - sqrt(425))**2)*2. 10*sqrt(17) + 3410 Simplify 2 + (((sqrt(1700) - (-1 + sqrt(1700)))**2 - sqrt(17)) + sqrt(17) - ((-1 + sqrt(17) - sqrt(17) - sqrt(17)) + 0)) + 0. 4 + sqrt(17) Simplify ((sqrt(1400)*1)/sqrt(4))/(-2*sqrt(14)/(1*sqrt(2))). -5*sqrt(2)/2 Simplify -4 + 3*(sqrt(704)*2 + 0 + sqrt(704) + 5 + 1). 14 + 72*sqrt(11) Simplify 5*(3*(2 + (sqrt(272) - (sqrt(272) + 1)) + sqrt(272) + sqrt(272) + sqrt(272)) - ((sqrt(272) + 0)*-3 - (1 + 1*sqrt(272))))**2. 2080*sqrt(17) + 229920 Simplify (sqrt(190) + sqrt(190)*-2*-1 - -6*-1*sqrt(190))/(-6*(sqrt(90)*-1 - sqrt(90) - sqrt(90))/sqrt(9)). -sqrt(19)/6 Simplify 3*(1*sqrt(147)/sqrt(3))/(sqrt(49)/(sqrt(7)*1)). 3*sqrt(7) Simplify sqrt(40)/(sqrt(64)/(sqrt(32)/sqrt(4))) + (5*1*sqrt(245))**2. sqrt(5) + 6125 Simplify ((sqrt(1700) + sqrt(1700)*1 - sqrt(1700)) + 1 - (sqrt(68) + -2 + 2))**2. 16*sqrt(17) + 1089 Simplify -4 + -5 + sqrt(72) - ((sqrt(32) + -2)*4 + sqrt(32) + sqrt(32))**2. -1225 + 390*sqrt(2) Simplify 4*((sqrt(700) + -1)*-2 - (sqrt(700) - (sqrt(700) + sqrt(700)*-4 + 5 + sqrt(700)))). -200*sqrt(7) + 28 Simplify ((sqrt(90)/sqrt(5) + sqrt(18))/sqrt(3))/(-3*sqrt(72)). -sqrt(3)/9 Simplify (-5*(sqrt(400) - (sqrt(400) - (sqrt(400) + sqrt(400)*-1 + sqrt(400)))))/(-5*(sqrt(180) - sqrt(180)*-1) + sqrt(180) + sqrt(180)). 5*sqrt(5)/12 Simplify -3 + (-2 + sqrt(275))**2 - (-5 + -2 + sqrt(1100)). -30*sqrt(11) + 283 Simplify (-1*(sqrt(117) - (5*-1*sqrt(117) - sqrt(117))))/(-6*-1*sqrt(1296)). -7*sqrt(13)/72 Simplify ((-6*sqrt(1500)*-2)/(sqrt(972) + ((sqrt(972)*-1 - sqrt(972)) + sqrt(972) - sqrt(972)) + sqrt(972) + -6*sqrt(36)/sqrt(3)))**2. 500 Simplify (2 + (1*sqrt(180))/(-1*sqrt(90)) + -3)**2 + 2. 2*sqrt(2) + 5 Simplify (sqrt(108)*2)/(sqrt(4) - (sqrt(28) + sqrt(112)/sqrt(4))/sqrt(7)) - (2*sqrt(147) + sqrt(147) + -3 + 4). -27*sqrt(3) - 1 Simplify (((sqrt(144)*-1)/sqrt(8) + sqrt(18))**2 + -5*(sqrt(2) + 3 + 1 + sqrt(2)))*1. -20 - 10*sqrt(2) Simplify -4*(6*sqrt(245)*3 + 6*-1*sqrt(245))**2. -141120 Simplify -3 + 3 + (3 + (1 + sqrt(2448))**2)*6 + 0. 144*sqrt(17) + 14712 Simplify ((2 + sqrt(112) - sqrt(7))*-5)**2 - (1*-1*sqrt(112))**2. 300*sqrt(7) + 1563 Simplify sqrt(88)/(sqrt(8)*3) + -4 - (sqrt(99) + 5*(sqrt(99) + ((sqrt(99)*-1 + sqrt(99))**2 - sqrt(99) - sqrt(99)))). -4 + 37*sqrt(11)/3 Simplify 2 + -2*-5*(sqrt(1872)*1 + sqrt(1872))**2 + (-2*(sqrt(1872)*2)**2 - (sqrt(1872) + 0)*-6). 72*sqrt(13) + 59906 Simplify 3 + 3 + 0 + sqrt(176) + 3 + -4. 5 + 4*sqrt(11) Simplify ((-5 + 4*(sqrt(11) + sqrt(77)/(sqrt(7)*2)))*-1)**2. -60*sqrt(11) + 421 Simplify ((1*sqrt(180) - sqrt(180) - sqrt(180))/sqrt(5))/(sqrt(12)*2*3) + -2. -2 - sqrt(3)/6 Simplify (4*(sqrt(4400) - (sqrt(4400) - sqrt(4400)*-4)))/((sqrt(16) + (sqrt(16) - (sqrt(16) - sqrt(576)*-4)))/sqrt(4)). 160*sqrt(11)/23 Simplify (0 + (sqrt(208) - (sqrt(208) + 0)) + 3)**2 - (3 + sqrt(208)*1)*2. -8*sqrt(13) + 3 Simplify (1*(-1*sqrt(396) + -2))**2 + -1. 24*sqrt(11) + 399 Simplify (0 + sqrt(891) + 1 - (sqrt(891) + 0)*3 - (2*sqrt(891)*6 + (sqrt(891) + sqrt(891) + 0)*1))**2. -288*sqrt(11) + 228097 Simplify (-2*(4 + (sqrt(3630) - sqrt(3630)*-4)/sqrt(10)*4))**2. 7040*sqrt(3) + 580864 Simplify -5 + -1*(1*sqrt(143))/sqrt(11)*-4. -5 + 4*sqrt(13) Simplify -2 + ((0 + sqrt(153))**2*5 - 4*(sqrt(153) + sqrt(153) + 2)**2). -1701 - 96*sqrt(17) Simplify ((-1 + sqrt(19))*-1 + -4)**2 - ((sqrt(19) - -1*(1 + sqrt(19))) + 5 + sqrt(171)). sqrt(19) + 22 Simplify sqrt(32) + sqrt(192)/sqrt(6) + 3 + sqrt(320)/(sqrt(10)*-3). 3 + 20*sqrt(2)/3 Simplify (sqrt(3630) - (sqrt(3630) + 1*sqrt(3630) + sqrt(3630)) - sqrt(120)/sqrt(4)*-1)/((sqrt(600) + (sqrt(600) - sqrt(600)*2))*-6 - sqrt(600))*5. 21*sqrt(5)/2 Simplify (4*(sqrt(684) - 4*(sqrt(684) - (sqrt(684) + 1 + sqrt(684)))) + 6*(sqrt(684) + 2) + 3)**2. 9672*sqrt(19) + 463345 Simplify (sqrt(1512) - (sqrt(1512) + (sqrt(1512) - (sqrt(1512) - -6*(1*sqrt(1512) - sqrt(1512)) - sqrt(1512)))))/((sqrt(18) + sqrt(864)/sqrt(3))/sqrt(3))*-1. 6*sqrt(7)/5 Simplify (sqrt(130) + -1*sqrt(130)*-5 - -2*sqrt(130)*-1)/((sqrt(10) - -2*sqrt(30)/sqrt(3)) + -6*1*sqrt(10)). -4*sqrt(13)/3 Simplify 3 + (-4*(sqrt(209) + sqrt(209)*-2))/(sqrt(704)*-1) + 5. -sqrt(19)/2 + 8 Simplify ((sqrt(242) - (1 + sqrt(242))**2) + -3 + sqrt(242))*2 - (sqrt(72) + -2 + sqrt(72) - sqrt(2) - (-3*sqrt(24) - sqrt(24))/sqrt(12)). -490 - 15*sqrt(2) Simplify (-5*(-5 + -6*sqrt(275)) + 4)**2. 8700*sqrt(11) + 248341 Simplify 2*sqrt(20)/sqrt(4)*5 + sqrt(25)/((sqrt(405) + (sqrt(405) + 1*sqrt(405) - sqrt(405) - sqrt(405)) - sqrt(405)) + sqrt(405)). 91*sqrt(5)/9 Simplify ((sqrt(832) + -4*sqrt(832) + sqrt(832) + -2)**2 - ((sqrt(832) + (sqrt(832) - (sqrt(832) + -2 - sqrt(832))))**2 + -4))*-6. -24 Simplify ((5*sqrt(81)*1)/(sqrt(33)/(-2*sqrt(1584))))**2. 388800 Simplify (((sqrt(28)/(sqrt(28)/sqrt(7)))**2 + 3)*1 + -3)*5. 35 Simplify 4*(-1*(sqrt(450) - (sqrt(450) + -1 + 4)))**2. 36 Simplify (-5*sqrt(228)*1 + sqrt(228)*1*3)/(sqrt(96)/(sqrt(1152)*-2)). 48*sqrt(19) Simplify 2*-3*((sqrt(5)*3)**2*-2 + sqrt(5))*2. -12*sqrt(5) + 1080 Simplify (-1*-3*sqrt(170)*-2)/(5*2*sqrt(10) + (-5*(sqrt(10) + sqrt(10)*-1) - sqrt(10))). -2*sqrt(17)/3 Simplify 3 + ((2*sqrt(2)*1 - sqrt(36)/sqrt(2))*2 + -2)**2. 8*sqrt(2) + 15 Simplify 4*-6*-1*sqrt(5445)*-1 + -3. -792*sqrt(5) - 3 Simplify (1 + sqrt(1216) + -2)**2 + ((1*sqrt(1216) - sqrt(1216))*4 - sqrt(1216)) + 4 + 1. -24*sqrt(19) + 1222 Simplify ((1*sqrt(6048)*-5)/(sqrt(42)/((sqrt(84)*-2)/sqrt(12))))**2. 100800 Simplify (2 + (sqrt(11) + (sqrt(11) - -3*sqrt(11)*-2))**2 - (1 + -3 + sqrt(1331))**2) + -1. -1158 + 44*sqrt(11) Simplify 2 + 6*(1 + sqrt(180) - sqrt(180))*-1 + -4 + -4. -12 Simplify (6*(sqrt(85) + 2*sqrt(85)*-2))/(sqrt(245)*1 + (sqrt(20) - sqrt(320)) + sqrt(5) + sqrt(5)). -6*sqrt(17) Simplify (sqrt(114) + -1*(3*sqrt(114) - sqrt(114)))/(sqrt(6) + (sqrt(864) - (sqrt(864) + -2*sqrt(864)))). -sqrt(19)/25 Simplify ((sqrt(200)/sqrt(196))/((sqrt(100) - sqrt(100)*-4 - sqrt(100) - sqrt(100))/sqrt(10)))**2. 5/441 Simplify (5 + -4*(sqrt(300) + -6*(-1*sqrt(300) + sqrt(300) + sqrt(300))) + -3)**2. 800*sqrt(3) + 120004 Simplify ((5 + 1 + sqrt(1900))*5 + (-3*2*sqrt(1900) - ((sqrt(1900) - -2*sqrt(1900) - sqrt(1900) - sqrt(1900)) + 4)) + -2)**2. -960*sqrt(19) + 8176 Simplify 2*((sqrt(475) + -1)**2*-4 - 4*(0 + sqrt(475))) + 5. -3803 + 40*sqrt(19) Simplify (-4*(sqrt(22) - ((sqrt(66) - -1*sqrt(66))/sqrt(3) + sqrt(22))))/(sqrt(132)/(5*sqrt(36)/sqrt(3))). 40*sqrt(2) Simplify (-6*(-4*sqrt(85) + sqrt(85) - sqrt(85)))/(sqrt(605) + sqrt(605)*-3 - sqrt(605)). -8*sqrt(17)/11 Simplify -3*(((-1*sqrt(504))/sqrt(8))/sqrt(9) - (sqrt(336)*-2 + sqrt(21))/sqrt(3)). -18*sqrt(7) Simplify (5*(sqrt(228) + 6*-3*sqrt(228) + sqrt(228) + sqrt(228) + sqrt(228)))/((sqrt(120)*2)/sqrt(10) - sqrt(24)/sqrt(2)*-6). -35*sqrt(19)/4 Simplify ((-1 + (sqrt(1900) + -1 + 3 - sqrt(1900)) + -4)*1)**2. 9 Simplify (sqrt(144)/sqrt(2) + -2*sqrt(2178))/(sqrt(384) - (sqrt(384) - 4*-1*sqrt(384))). 5*sqrt(3)/8 Simplify (-4*sqrt(20)/(5*sqrt(4)*-2 + sqrt(4)) + ((2*sqrt(160))/sqrt(8))/(1*sqrt(4)*1))**2. 2420/81 Simplify (sqrt(720) - (sqrt(720) - 6*(sqrt(720)*-1 - sqrt(720))))/(sqrt(36)/(sqrt(36)/(sqrt(81)/sqrt(9) + sqrt(9)))). -24*sqrt(5) Simplify (sqrt(104)*1*3 - sqrt(104))/sqrt(8)*-4 - (2*sqrt(832) - sqrt(13) - (-2 + (sqrt(13) + 2)**2)). -19*sqrt(13) + 15 Simplify -1*(((sqrt(408) + -3*sqrt(408))/sqrt(8))/sqrt(3) - sqrt(51)/(sqrt(36)/sqrt(3))). 5*sqrt(17)/2 Simplify ((sqrt(567)/(sqrt(45)/sqrt(5)) - sqrt(252)/sqrt(4)*3)/(-3*sqrt(2304) - sqrt(2304) - sqrt(36)))**2. 7/1089 Simplify (((sqrt(80) + -2)*5 - (-5 + sqrt(80) + -2 + sqrt(80))) + sqrt(80) + sqrt(80)
{ "pile_set_name": "DM Mathematics" }
is the units digit of r? 3 Let l(x) = -13*x + 645. What is the hundreds digit of l(0)? 6 Suppose 4*b + 5*c = c + 148, 4*b - 151 = -5*c. Let k = b - 30. Suppose 0 = 3*f - 5*a - 61, 8*a + 74 = k*f + 5*a. What is the units digit of f? 7 Let f(d) = 113*d**2 - 7*d + 4. What is the units digit of f(2)? 2 Let l be ((-2)/5)/(3/(-45)). Suppose -p + 71 - l = 0. What is the tens digit of p? 6 Let m = 19 + -13. Suppose 0*u = -3*c - 5*u - 31, -4*c = 3*u + 34. What is the units digit of 206/m - c/(-21)? 4 Suppose 11*h + 60 = 15*h. Let n be (-3 + -2)*(-213)/h. Suppose 2*d = 3*k + n, k - 5*k = 5*d - 143. What is the tens digit of d? 3 Suppose -32*x = 57*x - 390087. What is the tens digit of x? 8 Let n = -37 - -200. What is the units digit of n? 3 What is the tens digit of (-4)/8*11/(11/(-34))? 1 Let l(s) = -14*s**3 - 16*s**2 + 3*s + 4. Let m(v) = -5*v**3 - 5*v**2 + v + 1. Let q(t) = 2*l(t) - 7*m(t). Let h = 1 - -1. What is the units digit of q(h)? 7 Suppose -5*o + 145 = -5*n, 5*o - n - 100 = -5*n. Suppose 72 = 28*v - o*v. What is the units digit of v? 8 Let y = -69 + 106. Suppose -2*w + 3 = r - y, -5*r - 66 = -4*w. What is the units digit of w? 9 Let r = 4605 + -1661. What is the hundreds digit of r? 9 Suppose 9*o = 13*o - 764. Suppose 44 = -t + o. What is the hundreds digit of t? 1 Let b(i) = -11*i**3 + 2*i**2 + 3*i + 2. Let a be b(-1). Let j = a - 10. What is the units digit of 2/(-4)*(j + -4)? 1 Let m = 137 - 119. What is the tens digit of m? 1 Suppose y - 37 = -6. What is the tens digit of y? 3 Let x(v) = -2*v + 2. Let p be x(-1). Suppose -7*n = -p*n + 3*g - 273, -92 = -n - 2*g. What is the tens digit of n? 9 Suppose 11154 = 87*u - 16512. What is the units digit of u? 8 Let y(m) = 16*m - 1. Let q = 45 + -42. What is the units digit of y(q)? 7 Let s(d) = d - 23. Let f be s(17). Let a(o) = -o**3 - 5*o**2 - 17*o + 3. What is the units digit of a(f)? 1 Let c = 6 + -5. Let t(j) = -1 + c - 1 + 4*j + 3. What is the units digit of t(3)? 4 Suppose -97*m - 78 = -103*m. Suppose -68 = -4*f + 20. Let u = f - m. What is the units digit of u? 9 Let l(h) = 19*h + 31. Let w(x) = 20*x + 29. Let o(j) = -7*l(j) + 6*w(j). What is the units digit of o(-17)? 8 Suppose 2*f - 13 + 3 = 0. Suppose 8*n = -f*c + 9*n + 536, n - 544 = -5*c. What is the hundreds digit of c? 1 Suppose 3*b = -5*u - b + 14, -5*u = b - 11. Let k(m) = 16 - m**3 - 10*m**2 + 14*m - 2*m**u - 24*m. What is the units digit of k(-11)? 5 Suppose -2*p + 4 = -0*p. Suppose -p*n + 2 = -8, 0 = 5*l - 4*n - 110. Let q = 60 - l. What is the tens digit of q? 3 Let k = 102 + -172. Let i = -57 - k. What is the tens digit of i? 1 Let i(p) = p**2 - 5*p - 1. Let t be i(6). Suppose 0 = t*g - 141 - 44. Suppose 3*x = -u + 12, 8*x - 3*x = 4*u + g. What is the units digit of x? 5 Let p = 1029 + -735. What is the hundreds digit of p? 2 Let z = -22 + 38. Suppose z = -q + 61. What is the tens digit of q? 4 Let l(g) = g**3 - 12*g**2 + g - 9. Let m(h) = h**2 + 10*h - 12. Let y be m(-12). Let u be l(y). Suppose u*s - s - 86 = 0. What is the units digit of s? 3 Let w = -569 + 1357. What is the units digit of w? 8 Suppose 43*z + 18*z - 123952 = 0. What is the tens digit of z? 3 Suppose 32*s - 33500 = -18*s. What is the hundreds digit of s? 6 What is the units digit of (-108)/21*(12 + -47)? 0 Let h(f) = 33*f**2 - 4*f - 17. What is the hundreds digit of h(-9)? 6 Let f = -1511 + 2162. What is the tens digit of f? 5 Suppose -6*w - 1211 + 4481 = 0. What is the hundreds digit of w? 5 Suppose 0 = -6*d + 205 + 797. What is the hundreds digit of d? 1 Suppose -3*j + 11*j = 208. Suppose 3*m - j = 37. What is the units digit of m? 1 Let y(k) = 572*k - 1091. What is the units digit of y(12)? 3 Let l = -8 - -9. Let g be (-1)/(-2) - (-27)/6. Let x = g + l. What is the units digit of x? 6 Suppose 4*x - 1575 = -119. Suppose n - 5*n = -x. What is the units digit of n? 1 Let s(p) = p**2 - 33*p - 29. Let f(g) = g**2 - 17*g - 14. Let w(l) = 5*f(l) - 3*s(l). What is the tens digit of w(-10)? 7 Let m = 1813 - 934. What is the tens digit of m? 7 Let w = -6193 - -10760. What is the thousands digit of w? 4 Let f(v) = 2304*v**2 + 5*v - 6. What is the units digit of f(1)? 3 Let s be (-9)/7 - 10/(-35). What is the tens digit of (1*(-212)/(-1 - -5))/s? 5 Suppose 1079 + 573 = 4*n. Suppose 0*m + m = -s + 97, -4*s = -m - n. Suppose 23 = g - 7*p + 4*p, 0 = 4*g - 2*p - s. What is the units digit of g? 6 Suppose y - 203 = -f, 0*f - 1008 = -5*y + 2*f. Let b = -96 + y. What is the units digit of b? 6 Let f be (3/6 + 1)*(-112)/(-24). What is the units digit of 3/f - 1537/(-7)? 0 Let z(c) = 2*c**2 - c + 2. Let q be z(1). Suppose -3*j = 5*r - 165 - 175, 0 = -r - q*j + 68. What is the tens digit of r? 6 Suppose 5 = 5*r - 20. Suppose -2*g + 5*x = 5, 1 = r*g - 2*x + 3*x. Suppose g = 3*f - 19 - 134. What is the tens digit of f? 5 Let n = -4595 - -7077. What is the hundreds digit of n? 4 Let y(a) = 3*a**2 - 9*a - 17. What is the hundreds digit of y(21)? 1 Let p(t) be the third derivative of 17*t**5/60 - t**4/12 - 4*t**3/3 + 32*t**2. What is the hundreds digit of p(4)? 2 Let i be (4 - -2) + (3 - 6). Let v = i - 4. Let d = 2 - v. What is the units digit of d? 3 Let a = -30 + 258. What is the hundreds digit of a? 2 Suppose -3*g + 1090 = 4*o, g - 6*g + 1826 = 2*o. Suppose -31*h = -37*h + g. What is the units digit of h? 1 Suppose -8 = -4*x, -3*g - 3805 = -8*g + 5*x. What is the hundreds digit of g? 7 Suppose -5*m - 17*g + 13*g + 2605 = 0, 0 = -3*m + g + 1563. What is the tens digit of m? 2 Suppose 4*p - 5*o = -3*o + 8, -6 = -3*p - 2*o. Suppose 2*m - 4*c - 12 = 0, 0*c - 36 = -2*m - p*c. What is the tens digit of m? 1 Suppose 8*h - 2*k + 1535 = 11*h, -k - 1541 = -3*h. What is the tens digit of h? 1 Suppose 4*o - x = -2*x + 18092, -3*o + 2*x + 13580 = 0. What is the tens digit of o? 2 Let h be (-6 - -30)/4 + 6. Let x(n) = -n - 2. Let i be x(-2). What is the units digit of ((-4)/h + i)*-33? 1 Let v = -1023 + 1923. What is the tens digit of v? 0 Let m(a) = -6 - 3 + 2*a + 3 - 1. Let h be m(7). Let l = 4 + h. What is the units digit of l? 1 Let v = 30 + -45. What is the tens digit of (-7 - -2)/(3/v)? 2 Suppose 0 = -4*h - 8, -5*p + h + 7 + 10 = 0. Suppose 125 + 256 = p*d. What is the units digit of d? 7 Let y(c) = 2*c**2 - 26*c - 30. What is the hundreds digit of y(-15)? 8 Let u(g) = 7*g**2 + 9*g + 5. Let z = 41 + -45. What is the units digit of u(z)? 1 Let d(y) = 75*y - 206. What is the hundreds digit of d(7)? 3 Let x be ((-4)/(-5))/2 - (-10368)/30. Let t = x + -220. What is the units digit of t? 6 Let l(u) = 2*u**2 + 10*u + 3. Let c be l(-4). What is the tens digit of (4 + c)*15*-3? 4 What is the hundreds digit of -28 + 37 - -3*1031? 1 Let b be (2/(-5))/((-5)/(-25)). Let l(k) = 23*k + 5. Let h be l(-4). What is the tens digit of (-8)/(-12)*h/b? 2 Let x = -465 - -682. What is the units digit of x? 7 Suppose 2*c + 1998 = -2*l, -5*c = l - 13 + 992. What is the tens digit of -4 + 75/21 - l/7? 4 What is the hundreds digit of ((-2)/4)/(34/(-9112))? 1 Let t(p) = 31*p - 158. Let u be t(6). Let b(j) = -j - 14. Let d be b(0). Let l = u + d. What is the units digit of l? 4 Let s(b) = 4825*b**2 + 4*b - 2. What is the tens digit of s(-1)? 1 Suppose w + 4*i - 14 - 10 = 0, 15 = 5*w - i. Suppose -w*a + 38 = u, u - 3*a - 21 = -u. What is the tens digit of u? 1 What is the units digit of (-3)/15 + (-8712)/(-60)? 5 Let s be 1/10 - (-29)/10. Suppose -s*f = -0*l - l - 216, -3*l + 144 = 2*f. What is the tens digit of f? 7 Suppose -4*r - 227 = -3*b - 0*b, -r = 4*b - 309. Suppose -3*g = q - g - b, -226 = -3*q - 5*g. What is the units digit of q? 7 Let l = 13 + -10. Suppose o = 2*o + 3, -o = l*x + 9. Let p(s) = -4*s + 2. What is the units digit of p(x)? 0 Suppose 0 = -4*g - 4*f + 1589 + 3599, -4*g - 2*f = -5182. What is the thousands digit of g? 1 Let r(y) = y**2 - 5*y + 2. Let n be r(3). Let c(g) = 6*g. Let h be c(-1). What is the units digit of (-1 - n)/(h/(-22))? 1 Suppose 0 = -3*c + 7*c - 16. Suppose 4*n - 2*x = -18, c*n + x - 6*x + 27 = 0. What is the tens digit of -38*3/18*n? 1 Suppose 0*w = 4*w - 12. Suppose 0 = v + w*v - 4*f - 32, v - 2*f = 12. Suppose 4*g - 3*j = -v*j + 143, 2*j = -g + 41. What is the units digit of g? 5 Suppose 0*c + 4*c - 64 = 0. Suppose 5*m - 200 = -65. Let o = m - c. What is the tens d
{ "pile_set_name": "DM Mathematics" }
4)/10. Which is greater: t or c? t Let d(s) = -2*s**3 + 1. Let q be d(-1). Suppose -4 = v - 3*v. Which is smaller: q or v? v Let w = -2 + 5/2. Let h be (-15)/6 - (0 - 2). Which is greater: w or h? w Suppose 0*u = 5*u - f + 3, 2*f = 4*u. Which is bigger: -5/13 or u? -5/13 Suppose 36 = 4*v - 0*v. Let y be 3*(24/(-9) + 2). Let x be 3/y*(-6)/v. Is 0 smaller than x? True Let n(k) = 26*k - 2. Let c be n(-1). Which is smaller: c or -27? c Let j(m) = m**2 - 5*m + 4. Let h be j(3). Let o be (0 - h) + 16/(-8). Suppose -3*q + q = o. Is q at most as big as -2/7? False Let a = -21 + 43/2. Which is greater: 12 or a? 12 Let r = -8 - -8. Which is smaller: 1/3 or r? r Suppose 0 = 2*u, -2*u = 4*z - 3*u - 12. Let x be (-2)/z - (-16)/15. Is -1 greater than x? False Let q = -170 + 168. Is q at most 0.7? True Let d be -3*(1 - 4/3). Suppose -k = -5 - d. Let y = -4 + k. Is 1 equal to y? False Let g = 0.5 + 0.2. Let u = -0.33 + 1.13. Let w = u - g. Which is smaller: w or 4? w Let n = -2 - 1. Which is greater: n or -8/3? -8/3 Let h = 37/2 - 13. Which is smaller: 7 or h? h Suppose 47 = d + 11. Let y be (-4)/(d/23) + 3. Is -1 greater than or equal to y? False Let w be 0 - -3 - 3/(-3). Let k be 5 + ((-4)/10 - 39/65). Is k < w? False Let d(p) = 2*p - 21. Let c be d(11). Which is greater: c or 1/8? c Let n(g) = 11*g**2 + 3 - 13 + 9*g - 10*g**2. Let f be n(-9). Which is bigger: f or -9? -9 Let l be (-2 + 1 + 1)/(-1). Let w = 2/7 + -29/28. Which is smaller: l or w? w Let j = -5 + 2. Let g = -3 - j. Let l = -2 - 0. Which is smaller: l or g? l Let m be -3 + -2 + 1 + -1. Does m = -3? False Let k be 20/8 + 2/(-4). Suppose 4 + 4 = 4*h. Let f be h*(k - 5/2). Which is greater: -1/7 or f? -1/7 Suppose 6*y = 9*y - 15. Suppose -3*i + 15 = -2*u, -4*u = -5*u - y*i - 1. Which is smaller: u or -5? u Let u = 15 - 11. Suppose -3*w = 5*n - u*w, 0 = -n + 2*w. Which is greater: n or 1/2? 1/2 Let r(s) = -9*s**2 + 20*s**3 + 8*s - 8*s**3 + 8 - 11*s**3. Let m be r(8). Is 7 > m? False Suppose -11 = 5*k + 9. Let l = -1.6 + 0.6. Is l != k? True Let i be 1 + (-8)/36 + -1. Which is smaller: -11 or i? -11 Let l = 1 + -2. Let i = -37 + 110/3. Are i and l unequal? True Let w be (-49)/21 + 4/(-6). Let p = 1 + 3. Suppose -3*c - p - 5 = 0. Are c and w unequal? False Let k be (-162)/280 - 34/(-85). Which is greater: 0 or k? 0 Suppose 2*c - 3*w = 61, -2*c - c + 5*w + 91 = 0. Is c < 31? False Suppose -3*q + 26 = 2*p, 1 = -2*p + 3. Suppose 3*z = 3*i + 6, -2*z - q = -0*i + i. Let a(x) = x - 1. Let y be a(0). Which is greater: z or y? y Suppose a + 2 + 1 = -2*c, 2*c - a = 3. Let u(i) = i**3 + 6*i**2 + 6*i + 7. Let v be u(-5). Suppose c = 5*n - t + 1, v*n + 5 = -t - 1. Are -2 and n nonequal? True Suppose 0 = -4*d + 33 - 1. Which is smaller: d or 12? d Let z = -6 - 24. Are z and -30 equal? True Let t(v) = v**2 - 6. Let y(j) = j - 1. Let r(p) = -t(p) + 4*y(p). Let x be r(6). Which is greater: x or -11? x Let z be (1 - -1) + 4 + -10. Which is smaller: z or -5? -5 Let q = 40 + -22. Let d be ((-2)/q)/(3/6). Is d at least as big as 0? False Suppose 3*q + 10 = -89. Is q equal to -31? False Let p(y) = y + 1. Let j be p(1). Let m be j/(-8)*20/15. Is m smaller than -1/2? False Let l = 60720/29 + -2094. Is 0 != l? True Let b(f) = -f - 3. Let r be b(-8). Suppose 22 = -4*o - p, -r*o - p - 28 = -0*p. Does -6 = o? True Suppose 3*q - 17 = 2*z - 4, -4*q + 19 = -z. Suppose q = -3*i - 7. Suppose 5*o = -2*t - 31, -2*o = t - 0*t + 13. Are i and t nonequal? True Suppose -3*n = 12, 0 = -0*w - 2*w - n - 4. Suppose -4*g = 2*v - 16, w = -4*g + 5*v - 0 - 12. Let f be g - (-2 + (-7)/(-2)). Is f smaller than 0? False Suppose -17 = 5*h + 93. Let j be h/(-6) + 9/(-3). Which is smaller: -1/4 or j? -1/4 Let b(l) = -l**3 - 30*l**2 + 26*l - 13. Let h be b(-31). Are h and 141 unequal? True Let z = 3.7 + -1.7. Let r = -1.3 + 0.3. Are r and z non-equal? True Suppose 3*g + 2*b + 0*b = 10, 4*g = -3*b + 13. Suppose 0 = -m - 3, -2*o - 6 = m + 3*m. Is g <= o? False Suppose -2*j - 3*j = 0. Which is smaller: j or -2/25? -2/25 Let p = -0.3 + 0.2. Let m = 5 + -5.3. Which is greater: p or m? p Let m be (-3 - 1/1)*(-5)/(-16). Suppose 4*b + 2 = 10. Suppose 2*f = 3*i + 16, -3*f = b*i - 5 - 6. Which is greater: i or m? m Let a be 33/(-110) - 2/(-8). Does 0.2 = a? False Let r = 0.85 - 0.05. Let n = r + -1.8. Is n < 0.03? True Let n be (1 - (3 - 2))*-1. Let k = 3 + 2. Suppose -1 - k = 3*h. Which is smaller: n or h? h Suppose 11*q + 3 = 12*q. Which is bigger: 1 or q? q Let u = -853/2023 - 2/289. Is -1 < u? True Let z be (5 + -6)/((-2)/30). Suppose 5 = -5*m - z. Is m at most as big as -6? False Let a = 0.3 + -0.3. Let w = -3 - a. Let l = -137/3 - -46. Which is smaller: l or w? w Let q = 6 + -6. Let p = q + -1. Is p >= -4/5? False Suppose 5*g = k + 10, 4*g = 3*g + 4*k + 2. Let p = 3 - g. Which is smaller: p or 5/4? p Let j = 4 + -4.5. Which is smaller: -0.2 or j? j Let v(g) = -g + 9. Let b be v(9). Which is greater: 13 or b? 13 Suppose 3*h = 22 - 4. Let i = -29 + 20. Let z be (i/h)/(-1 + -2). Is z < 0? False Let m(d) = -d**3 - 11*d**2 - 10*d + 8. Let v be m(-10). Suppose v = t + t. Which is bigger: 5 or t? 5 Let k be (8/(-2) + -2)*(-1)/4. Which is smaller: k or 2? k Let h be (1 - 1)/(-1 + -3 + 0). Is h greater than or equal to 4/35? False Let c be 0 - -19 - (2 - 5). Suppose c = 3*m + 4. Which is bigger: m or -1? m Let o(v) = -8*v + 56. Let i be o(7). Is i <= -6/31? False Let j = 7 - 3. Is 0.03 bigger than j? False Let f = 1.1 - -0.9. Let w = 1 - f. Is w bigger than 0.09? False Let r = 0.06 + 0.54. Let c = r + -0.8. Is c <= 2? True Let a = -0.05 - -0.11. Let d = -3.06 + a. Let q = d - -3. Is 0.1 at most q? False Suppose -2*l - l = -12. Which is bigger: l or 3? l Let k(w) = w**2 + 6*w + 1. Let b be k(-6). Let x be (-5 - -5) + (b - 0). Which is greater: x or -1/3? x Let f be -2 + (-1 - -3 - 3). Let a = 9 - 11. Is a < f? False Suppose -209 - 636 = 5*k. Let l = -365 - k. Let a = l - -1370/7. Is a not equal to 0? True Let u = -0.3 + 0.33. Let j = 0.07 + u. Which is greater: j or 1/2? 1/2 Suppose -3*k = -6*k - 12. Let j be (-28)/(-21)*(-6)/k. Suppose -4*d + 2 = -j. Is 1/3 at most as big as d? True Let j be 5*(0 - (-4)/(-10)). Let w(t) = t**2 + 3*t + 2. Let k be w(j). Suppose 0*z - 2*z - 2 = u, 4*z = 3*u - 14. Is z equal to k? False Let u = -4 + 2. Let h be 8/(-6)*2/4. Which is smaller: u or h? u Let m be (-26)/(-10) - 14/(-35). Let o be m/1*2/3. Are 2 and o equal? True Suppose 0 = m + 3*i - 6, -m + 5*i = 27 - 9. Is m > -3? False Let s = -11 - -8. Let g = 10 + -11. Are s and g unequal? True Let k be 33/(-164) - (-1)/4. Let o(z) = z**3 + 23*z**2. Let m be o(-23). Is k less than or equal to m? False Let d = 2/27 + -37/135. Let b = 369 - 6271/17. Is d smaller than b? True Let d = 0.37 - 5.37. Which is smaller: d or -1? d Let t = -14 - -16. Let b = t + -1. Which is bigger: b or -4? b Suppose 0 = 5*q - a + 27, a - 12 = 4*q + 9. Let y be 1/(-2) + q/(-4). Is 1 >= y? True Let r = 3 + -2.99. Let z = 2.01 - r. Let p = 3 - 3.1. Is p less than z? True Suppose -2*i - 5*t + 7 = 0, 12 = 4*i + 3*t - 9. Let p be (3/i)/(1 - 0). Which is greater: p or 2? 2 Suppose -y = p - 13 + 5, -y = -5*p + 22. Does p = -1/5? False Let o be (1/(-5))/(7/(-595)). Is o > 17? False Let y = -34 + 37. Let l = 9 + -6. Is y greater than l? False Let t be (-3213)/(-68) + (2 - 18/8). Is t < 48? True Let o = 1.7 - 1.8. Which is smaller: 1/3 or o? o Let w be 0*(5/(-2) + 2). Suppose -5*r - 10 = -w. Let v = r - -5. Which is greater: v or 5? 5 Let a be (3 + 1 + -4)/2. Is a at most as big as 4/9? True Let p be 3 - 0/(-1 - -4). Suppose p*z + 10 = 1. Does 0.1 = z? False Let x = 10 - 6. Suppose x*d + 4 = 12. Let z be (4 - 2)*(-4 + 5). Is d bigger than z? False Let n be (15 - 1)/((-8)/6482). Let h = 157761/14 + n. Let u = h + 75. Is 0 at most u? True Let x = -0.2 + 0.2. Let h = 50998/85 + -600. Let m = h - 77/340. Which is smaller: m or x? m Let w be (82/(-15))/((-16)/3). Let f be 46/(-40) + (-4)/16. Let p = w + f. Which is smaller: 0 or p? p Suppose 4*j + t + 2*t = 20, -j - t = -6. Suppose 8 = -m + 3*q + 2, -5*q + 10 = 3*m. Is j not equal to m? True Let c be 0/(1*2/(-1)). Let g be (-100)/(-55) + 4/22. Suppose -3*v + 5*t = -8, -g*v - 2*v + 2 = 2*t. Is v >= c? True Let r be (-9 - 0)*2/3. Let b = -18 - r. Let k be (-10)/4*b/(-165
{ "pile_set_name": "DM Mathematics" }
(c) i c Let h = -1405 - -1392. What is the closest to 4 in -0.5, h, -3/5, -2? -0.5 Let j = -591 + 601. Which is the closest to -2/3? (a) 2/19 (b) 3 (c) j a Let g = -12.5 - -46. Let t = g - 33. Which is the closest to -2/3? (a) -5 (b) t (c) 4 b Let o = 0.216 + 0.284. Let l be 0 - (5/(-2))/5. Which is the nearest to o? (a) 0.4 (b) -1/6 (c) l c Suppose -2*p = 2*u + 10, 13 = -u - 4*p + 5. Which is the nearest to -2/15? (a) -12 (b) -2/13 (c) u (d) -5 b Let u = -39.7 + 39.9. Let o be 0/(4/2 - 3). Suppose w + 4*l - 11 = 0, -5*w - l + o*l = 2. Which is the closest to 2? (a) -4 (b) u (c) w b Let j be ((-3)/((-6)/4))/((-144)/(-6246)). Let a = j + -87. What is the nearest to a in -5, -3/2, -0.2? -0.2 Let v = -0.185 + 0.185. What is the nearest to v in -2, -1, 7/4, 0.5? 0.5 Let h = -229.012 - -230. Let m = h - -0.012. Which is the closest to -1? (a) m (b) 5 (c) -1 c Let j = -9.06 - -0.06. Let i = j + 4. Let d = 9 + i. What is the nearest to -3 in d, -2, 0.5? -2 Let i = -8 + 8.3. Suppose p + p + 4 = -5*l, 4*l + 2*p = -4. Let z be 91/35 + (-1*2 - l). Which is the nearest to -1/3? (a) z (b) i (c) -2 b Let a = 8270 + -8275. Let o be 1/(-1) + 10/6. What is the closest to o in 2/9, a, 4? 2/9 Let b = -1339 + 1339. Let k = -1 - -2. What is the nearest to k in 1, -0.1, b? 1 Let o = 14 + -9. Let s = 4627.5 - 4628. Which is the closest to -0.1? (a) s (b) o (c) 2/3 a Suppose -4*p + 1 = -7. Suppose 2*z + p*z = -4. Let u = -5 + 4.6. Which is the nearest to 2/3? (a) 4 (b) u (c) z b Let v = -6327 + 6813.1. Let r = -523 + v. Let s = -37 - r. What is the closest to -2/5 in 2, s, -0.3? -0.3 Let d = -27 - -30. Let k be (-31)/(-35) - (-9)/(-15). Which is the closest to -2? (a) k (b) d (c) -4 c Suppose -3*m = -2*t - 14 + 1, 2 = -t - 3*m. Let h be 0 - -4 - (0 + 0 + 0). Let p be (3/12)/((-4)/h). Which is the nearest to p? (a) t (b) -0.4 (c) -2/23 b Let s = -0.8 - -0.3. Let j be 49/(-98)*(3 + (-28)/12). Which is the closest to j? (a) s (b) 5 (c) -0.04 a Let u = -3.89 + -0.11. Let r be -1 - 1*4/(-5). What is the nearest to 1 in -1.1, u, r? r Let v = -556/7 - -79. Let a = 140 - 135. Suppose 4*k + 12 = 0, a*k - 31 = 5*n + 7*k. What is the nearest to 2/3 in n, v, 0? 0 Let g = -21.9 - -21.6. Which is the closest to -3? (a) 0.4 (b) g (c) -1/5 b Suppose 5*j + 4*m + 5 = 0, -5 - 5 = 2*m. Let i = -4 + j. Let z be 27/63 - 3/7. What is the nearest to i in 1/11, z, 1/8? z Let v = -1210 + 1219. What is the closest to v in -3, -0.03, -0.3? -0.03 Suppose 0 = 7*v + 19 - 33. Let l(j) = j**3 - 7*j**2 + 6*j - 1. Let g be l(6). Let n be -2 - g - 1/1. Which is the closest to 1? (a) n (b) -3/4 (c) v c Let m = -169 - -169. Which is the nearest to m? (a) -2 (b) 0.7 (c) -2/5 (d) 0.2 d Suppose -y - 2 = -4*r, r - 5 = -4. Suppose -s = -1 + y. Let v = -1 + 1.4. Which is the closest to 0? (a) s (b) v (c) 4 b Let x = -441 - -441. Let l be (-10)/35 + 1/28. Which is the closest to x? (a) 0.4 (b) l (c) 0.3 b Let y be 6/(-4)*(-8)/(-21). Let h be (0 - 4/(-10))*20/16. Let j = -28 - -30. Which is the closest to 0? (a) j (b) y (c) h c Let k = -672 - -679. What is the closest to 2/5 in 0.1, 3, k? 0.1 Let h = 465.96 - 466. Suppose -j - 9 = s + s, 4*j + 12 = 4*s. What is the nearest to -1/5 in h, 1/5, j? h Suppose 0 = -0*h + h - 3. Let s be 21/(-49)*(4/3)/(66/(-231)). Which is the nearest to 2/11? (a) h (b) 5 (c) s c Let p = -90 - -86. Let x be (-9)/4 - 6/p. Let y = -170 - -1192/7. Which is the nearest to x? (a) -1/3 (b) 2/9 (c) y a Let t = -94 - -472/5. Let r(o) = -o - 3. Let i be r(-4). Let v be (i/14)/(1/(-6)). Which is the nearest to t? (a) -2/13 (b) v (c) 1 a Let n = 2.99 - 0.09. Let y = n + -0.9. Which is the closest to 1/3? (a) 1 (b) 0.02 (c) y b Suppose 0 = -5*k + 13 + 12. Let l = -0.08 + 1.58. Let d = l + -1. What is the closest to -2 in k, d, 0.4? 0.4 Let o be (-2)/(-5) + 116654/(-210). Let x = 555 + o. Let f be (-3)/4*(1 - -1). Which is the closest to -0.3? (a) -5/4 (b) f (c) x c Let t = 1.61 - 1.71. Which is the nearest to 0.4? (a) -5 (b) t (c) 0.5 c Let u = 14 + -13.6. Let t = 2 + -2.2. Let j(a) = -a**3 + 4*a**2 + 3*a - 9. Let w be j(4). What is the closest to 1/3 in w, u, t? u Let w = 4709/5901 - -30/281. Let a = -4/7 + w. Suppose -x - 1 = -4. What is the nearest to a in -0.5, -3, x? -0.5 Let r = -0.12 + 0.16. Let v = r - 0. Let u = v + -0.15. What is the closest to u in -0.4, 0, 4? 0 Let j be ((-10)/(-140))/(21/98). Let i = 14/15 - 3/5. What is the closest to j in 1, -13, i? i Let x = -698 + 698. Let v = -96 - -387/4. What is the closest to 0.1 in v, x, 4? x Suppose -3*v + 4*v = 2. Let i be (2*9/(-21))/v. What is the closest to -19 in i, 4/5, 2/3? i Let r = -0.095 + 3.095. What is the nearest to -42 in -3, -4, r? -4 Let k = 170 - 176. Let r = 13 - 10. What is the nearest to k in r, 2, 3/7? 3/7 Let o = -4.88 + -0.12. Let l = 104 - 120. Let q be (-1 + l/(-12))/(-1). What is the nearest to 0 in q, 2/7, o? 2/7 Let j = -468 + 4214/9. What is the closest to j in 2/11, 9, -0.5? 2/11 Let m be 3*(2 + 4/(-3)). Suppose -5*y - 5 = -m*o + 2, 0 = -y - 5. Let q be (8 - 6)/(o - 1). What is the nearest to 0 in q, -3, 4? q Let q be (19/(-152))/((-10)/16). Which is the closest to -2? (a) q (b) 5 (c) -1/4 c Let i = 553 - 555. Let l be (2 - 9/6)*-4. What is the closest to i in 1/5, l, 0.4? l Let g = -109 + 108. Let v(w) = w - 1. Let o be v(-3). Let n = -0.08 + 0.38. Which is the closest to o? (a) n (b) 0.4 (c) g c Let o(r) = -r**2 + 10*r - 2. Let y be o(9). Suppose 4*t + 3 = y. Let q = 3.7 - 4. Which is the closest to t? (a) 2/3 (b) q (c) 4 a Let n = -0.2 - -0.1. Let u = 136.6 - 21.6. Let i = u - 114. Which is the closest to i? (a) 0 (b) n (c) -1 a Let d be 64/20 + -4 - (-68)/60. Which is the nearest to 1? (a) d (b) 3 (c) -2/13 a Suppose -4*g - 15 = -5*l, 2*g = -3*g. Let b = 2.2 - 2.3. What is the closest to 1/7 in l, b, -5? b Let a = -19.1 - -5. Let r = a - -13. Let y = r - -0.7. What is the closest to -2 in -4, 4, y? y Let h = 88.7 + -89. What is the nearest to 1.4 in 0.4, h, 3? 0.4 Let w = 0.034 + -0.134. Let z = 6 - 3. Which is the nearest to 1/5? (a) z (b) w (c) -4 b Let m = -0.02 + -3.98. Let b = -2357 - -2357. What is the closest to b in -2, -1/2, m? -1/2 Suppose 4*a + 0 = 5*z - 14, -5*a - 11 = -3*z. Let c be 33/6 + a + -1 + -2. What is the closest to -2 in 1, c, -2? -2 Let f = 5 + -13/3. What is the closest to 1 in f, 1/9, 1/2? f Let d = 2 + -3. Suppose -2*u = u - 6. Let l be 0 - -3 - u/1. What is the closest to d in -0.1, l, -1? -1 Let t = -372 - -370. Which is the nearest to 0.1? (a) 0.3 (b) -13/2 (c) t a Let m = 19 - 21. Let k be (m/(-5))/((-16)/80). Let w be (1 + k - -2)/1. Which is the closest to w? (a) -2 (b) -0.2 (c) -1 b Let b = -2 - -6. Let q = -4 - -48. Let o = 44.2 - q. What is the closest to o in -1, 1, b? 1 Let t = 0.1 + 0.1. Suppose -29*p = -32*p + 15. Let f = 0.1 + 0.9. What is the nearest to f in p, t, 1/2? 1/2 Let t(o) = o**2 + 20*o - 26. Let p be t(-21). Let v be ((-2)/2)/(3/p). Which is the nearest to -0.4? (a) 2/5 (b) v (c) -3 a Let y = -957 + 956.9. Which is the closest to -0.2? (a) 3 (b) -5/6 (c) y c Let w = -0.3 - -0.4. Let h = -0.5 + -2.5. Let k = -0.21 + 0.01. Which is the closest to w? (a) k (b) h (c) 3 a Let d = 7230 - 7235. Let m be (-2 - 1)*1/3. Which is the nearest to -1/2? (a) d (b) m (c) -0.5 c Let z = 76/23 - 281/92. Which is the closest to 1? (a) 0.4 (b) z (c) -1 a Let u = 2.9819 + 0.0181. What is the nearest to -2/3 in u, 20, 3/7? 3/7 Let z = -970/9 - -108. What is the nearest to -0.2 in -1, 2, z, 5/2? z Let q be (-6)/(-36) + (-150)/36. Which is the closest to 0? (a) 3 (b) q (c) 2/47 c Let l be 1/5*0 + 0. What is the nearest to 1 in 3/2, l, 3? 3/2 Let f = 62 - 61. Suppose m + 0*m - 2*v = 26, -m - 4*v = -44. Let w be (-4)/(-6) - m/66. Which is the closest to w? (a) -2/19 (b) -1 (c) f a Let k = 96108/240295 - -2/48059. Suppose 0 = g - 4*g. Let d = 0.1 + 0.1. What is the nearest to g in k, 0.3, d? d Let s = 35 - 30. Let f be (s + (-4 - 0))*-1. Let u = 1 + -0.99. What is the nearest to 0.1 in f, u, -0.4? u Let d = 1/1357 + 2711/4071. Let i = 0.1 + -0.1. What is the nearest to i in -5, -0.4, d? -0.4 Let p = 0.62 - 0.22. Suppose t = -0*t - 5. What is the closest to 0 i
{ "pile_set_name": "DM Mathematics" }
y**(-8)/y*y)*y*y)/y*y))/(y**(3/2)/(y*y**(2/19))))**16 assuming y is positive. y**(-3464/19) Simplify b**(2/57)*b**(2/33)*((b*b*b**(8/3)*b)/b*b*b)/b*b*(b*b**(1/4))/b assuming b is positive. b**(17587/2508) Simplify (r**(1/13))**(-13/4)*((r/(r**(-1/39)*r)*r)/r*r)/r**(-16) assuming r is positive. r**(2617/156) Simplify a**26*a/(a/a**(-1/20))*(a/(((a/(a/a**6))/a)/a))**32 assuming a is positive. a**(-1401/20) Simplify (x/(x/((x/x**(1/8))/x))*x*x**2)/(x**(-26)*x**(-11/3)) assuming x is positive. x**(781/24) Simplify ((z*z*z*((z/(z*z**(-2/23))*z*z)/z)/z*z)/z)**12/(z**(-9/8))**(-2/39) assuming z is positive. z**(44235/1196) Simplify (d/d**(-3/5))**(-1/71)/(d**(-1/9)/d*d**(-32)) assuming d is positive. d**(105718/3195) Simplify (f**(-13)*f/(f**(1/23)/f))/(f**(-4)*f)**(-29/2) assuming f is positive. f**(-2509/46) Simplify ((j/j**(-6/7))/j*j**(5/8)*j)/(j**(10/7)/j)**18 assuming j is positive. j**(-293/56) Simplify (h**43*h*h**(-36/11)*h)**(-28/9) assuming h is positive. h**(-1428/11) Simplify (i/(i**(3/5)*i*i))**(3/16)/(i*i**(-8)/i*i**(2/31)*i) assuming i is positive. i**(2057/310) Simplify ((s*s*s*s*s**(4/7))/(s/s**(-4/5)))/((s*s**(-17)/s)/s*s*s/s**(-18)) assuming s is positive. s**(27/35) Simplify ((s**(-3/13)/s*s)/((s/s**(2/5))/s)*(s**(-2/5)/s*s)/(s**8/s))**46 assuming s is positive. s**(-4324/13) Simplify (((c*c**(2/3)*c)/(c*c**(-1/7)*c))/(c*c**(-1/3)*c)**(19/5))**(-38) assuming c is positive. c**(4408/21) Simplify (((z/(z*z**(-10)/z))/z)/(z**(16/7)*z))/(z**(-16)/z**(-3)) assuming z is positive. z**(138/7) Simplify (k*k**(-3))**26*k**5*k/((k**12/k)/k*k) assuming k is positive. k**(-57) Simplify (p/(p**(2/5)*p))/p*p*p**11*p**(-8)*p*(p*p**11/p)/p assuming p is positive. p**(68/5) Simplify (q**(-3/4)*q*q**(-5)*q*q)/(q**(1/7)*q*q**5) assuming q is positive. q**(-249/28) Simplify ((z*z*z**(-5/6))**33)**37 assuming z is positive. z**(2849/2) Simplify (a**(-1/3))**(2/13)*(a/(a*a**(-5/2)))**(10/3) assuming a is positive. a**(323/39) Simplify (f/(f/(f*f*f/f**(7/4)*f))*(((f*f**(-3))/f*f)/f)/f)/(f**(2/15)/((f*f*f**(-11)/f*f)/f)) assuming f is positive. f**(-713/60) Simplify (((f*f**7*f)/(f*f**5))**(1/56))**(-28) assuming f is positive. f**(-3/2) Simplify (c/(c*c**(-20))*c**(-21))/(c**(-24)*c/c**3) assuming c is positive. c**25 Simplify u**(5/3)*u*(u**(-2/9)/u*u)/u*(u**(4/3))**(-12) assuming u is positive. u**(-131/9) Simplify (s**2)**48/(s**11/s**(-6)) assuming s is positive. s**79 Simplify (o**(1/2)/o)**(-1/39)/(o/o**(1/7))**11 assuming o is positive. o**(-5141/546) Simplify (k/(k*k**(2/13)/k)*(k**(10/3)*k)/k*k*k)**(4/5) assuming k is positive. k**(964/195) Simplify (s**(-3)/s)**(-6)/(s**(-7))**(-36) assuming s is positive. s**(-228) Simplify ((q/(q*((((q*(q*q*q**(-6/7)/q)/q)/q)/q)/q)/q)*q)/q**(-3))/((q/(q**(-23)/q))/q**(-6)) assuming q is positive. q**(-162/7) Simplify s**(2/5)*s*s*s*s*(s**20*s)/s*s**(-1/15)*s**(-27)*s assuming s is positive. s**(-5/3) Simplify ((z/(((((z*(z*z/(z*z/z**(-18))*z*z)/z*z*z)/z)/z)/z*z)/z))/(z**(2/27)*z))/((z*z*z**14*z*z*z)/z)**(2/7) assuming z is positive. z**(2227/189) Simplify (k*k*k/((k**15/k*k)/k)*(k/k**(2/7))/k)/(k**(-3/2)/k)**(-2/35) assuming k is positive. k**(-80/7) Simplify (((y*y**(-11))/y**(1/12))**(-7/5))**(-3) assuming y is positive. y**(-847/20) Simplify (f**(-3/4)/f)**(-1)/((f/f**3)/(f*f*f*f*f**(-14)/f*f*f)) assuming f is positive. f**(-21/4) Simplify (z/z**(-14)*z**12*z*z)/(z**(-5))**(-1/8) assuming z is positive. z**(227/8) Simplify ((l*l**(-2/19)*l)/l)/l**14*(l*l**(1/8)*l)/l*l**(-2/13)/l assuming l is positive. l**(-25953/1976) Simplify ((j/((j**(-4)*j)/j)*j/(j*j**(-3/7)*j*j))/(j**(1/2)*j)**(3/14))**(-12) assuming j is positive. j**(-261/7) Simplify ((l**33/l)/(l*l/(l*l**15)))**(-1) assuming l is positive. l**(-46) Simplify (n/(n**(-3)*n))**(2/7)/((n**(-2/5)*n)/n**(-6/11)) assuming n is positive. n**(-111/385) Simplify (((c/(c*(c**6*c)/c))/c*c*c)/c*c)**(-3/5)*(c*c**(2/9))**43 assuming c is positive. c**(500/9) Simplify (((z/z**28)/z)/(z*z/(z**(-43)/z)*z))**(-7/3) assuming z is positive. z**175 Simplify (k/(k*k**(-1)*k)*k*k**(-12))**3 assuming k is positive. k**(-33) Simplify ((p/p**(-1/5)*p*p**(-11)*p)**(-18))**(5/2) assuming p is positive. p**351 Simplify ((x/(x**11/x)*x)/x**(-12))/(x**(2/31)/x*x**(3/19)) assuming x is positive. x**(2814/589) Simplify (y*y**(2/3))**(-5/6)*y/((y*y**9)/y)*y*y*y**5/y assuming y is positive. y**(-61/18) Simplify ((r*((r**2*r*r)/r)/r)/r**(-1))/(r**(3/5)/r**(-2)) assuming r is positive. r**(7/5) Simplify ((z*z*z/z**(-1))**(13/2)*(z/(z*z**(2/5)*z))/z**(2/13))**(4/19) assuming z is positive. z**(6356/1235) Simplify ((w*w/(w**(2/3)/w*w))/(w/(w*w**25/w*w)))/((w*w/w**(-16)*w)/(w*w**(-1/8)*w*w)) assuming w is positive. w**(245/24) Simplify ((i*(i**(3/7)*i)/i*i**4)/((i/(i/(i*i**10)))/(i/((i*i/(((i*i**0)/i)/i))/i))))**45 assuming i is positive. i**(-2070/7) Simplify (l**(-3/10)/l**(-4/9)*(l**(-1/12)*l*l)/((l*l**(-7))/l))**36 assuming l is positive. l**(1631/5) Simplify ((x**(-1/6))**(-1/24))**(-19/3) assuming x is positive. x**(-19/432) Simplify f**(-4/13)/f*f**13/f*(f*f**(3/16))/f**7 assuming f is positive. f**(1015/208) Simplify (i**(12/11)/i**(6/5))**(1/3) assuming i is positive. i**(-2/55) Simplify ((j**3)**(-41)*j*j/(j**(-9)/j)*j*j**(-2))**(-2/115) assuming j is positive. j**(224/115) Simplify (d*d**(2/7)*d**(-3)*d*d*((d*(d*d*d**5*d*d)/d)/d)/d*d*d*d*d/d**(-1)*d*d)**20 assuming d is positive. d**(2000/7) Simplify x**(-3/11)/((x/(((x/(x**(5/2)*x))/x)/x))/x*x)*((x*x**(-15)/x)/x*x)/(x/(x/x**(1/12))) assuming x is positive. x**(-2753/132) Simplify (j**(1/8))**45*(j*j**(2/13))**(4/9) assuming j is positive. j**(1915/312) Simplify s/((s/s**(-18)*s)/s)*s**(-3/8)*s**13/s*s**(1/7) assuming s is positive. s**(-349/56) Simplify ((((d*d**(-5/2))/d)/d*d*d*d**(-11))**14)**32 assuming d is positive. d**(-5600) Simplify (w*w**(-2/3)*w*w**10)/(w/((w/(w**1*w))/w))**16 assuming w is positive. w**(-110/3) Simplify t**(-1/2)*(t**(-4/7)/t)/t*(t**(-5))**(2/15) assuming t is positive. t**(-157/42) Simplify (m*m**(2/29)*m*(m*m**(1/4))/m)/((m/m**(-1/13)*m)/((m/(m/(m/(m/m**13))))/m)) assuming m is positive. m**(18461/1508) Simplify ((q*q*q/q**9)/q**4)/(q**(3/2)*q**(-2/25)) assuming q is positive. q**(-571/50) Simplify (((o/o**(3/4))/o**(-1/2))/(o*o/((o*(o/(o*o**0))/o)/o)*o)**(1/5))**13 assuming o is positive. o**(-13/20) Simplify (o*o**7)**(3/7)*(o**15*o)/((o/(o**3*o))/o) assuming o is positive. o**(164/7) Simplify ((a**(-23)/a)**40)**(-1/19) assuming a is positive. a**(960/19) Simplify (b/((((b/(b*b/b**(-2/3)))/b)/b*b)/b))**(-2)/((b*b*b**(8/3))/b**(1/9)) assuming b is positive. b**(-125/9) Simplify (n/n**(-6/17)*n*n**(-10)/n*n)/(n/n**(4/7))**(-9) assuming n is positive. n**(-451/119) Simplify (k/k**(3/7))**(33/2)*k/(k/((k*k/k**(4/3)*k*k)/k))*k**(-1/6) assuming k is positive. k**(153/14) Simplify ((c/(c**0*c))/c**(-14))/(c**(-3/14)/c*c*c*c**9*c*c) assuming c is positive. c**(31/14) Simplify ((r/(r**(-2/23)*r))/(((r/(r*r**(-1)*r*r))/r*r*r)/r))/(r/((r**(1/16)*r)/r)*r**(-1)*r*r) assuming r is positive. r**(-313/368) Simplify (i/i**(4/7))**29/((i/(i/(i/(i**4*i))))/(i*i/((i*i**(6/11))/i)*i)) assuming i is positive. i**(1454/77) Simplify (((v**(-2/17))**(-1))**(-8/13))**36 assuming v is positive. v**(-576/221) Simplify ((((s*s**(-2/15))/s)/s)/s**(-6))/(s**(-5)/(s/(s*(s**(2/9)/s)/s*s*s))) assuming s is positive. s**(434/45) Simplify (a*a/(a/a**2))/(a**(2/13)*a)*(a**(4/9)*a)/a**(4/5) assuming a is positive. a**(1457/585) Simplify (p*p/((p/p**(-3/8))/p))**(7/4)*((p*p*p**5*p)/p)**36 assuming p is positive. p**(8155/32) Simplify ((d**(-1/2)/((((d*d**(-1/2))/d*d*d)/d)/d))/(d**(-2/5))**39)**(-1/8) assuming d is positive. d**(-39/20) Simplify c**3/c**7*c**5/c**4 assuming c is positive. c**(-3) Simplify l**22*l/((l/((l**(-16/7)*l)/l))/l)*l**(-8)*l*l*l**(8/3)*l assuming l is positive. l**(386/21) Simplify w/w**(-12)*w**(-6/23)*w**(-17)*w**(-15) assuming w is positive. w**(-443/23) Simplify ((w/w**(-2))/w**(5/4)*(w**(-2/7))**15)**44 assuming w is positive. w**(-781/7) Simplify (p/((p*p**2)/p))/p**(1/7)*p**(-1/4)/((p*(p*p*p**(-2/41)*p)/p)/p) assuming p is positive. p**(-3839/1148) Simplify (((x**(-7)/x)/x*x**(-5/2))**(6/11))**(-16/5) assuming x is positive. x**(1104/55) Simplify (z**(-3/14)/z**(-12))/(z/((z*z**(-2/9)/z*z)/z))**
{ "pile_set_name": "DM Mathematics" }
tive of z(l) wrt l. -50640*l**3 Let k(h) be the third derivative of 3*h**7/10 - 7*h**5/20 + 251*h**4/2 + h**2 + 25*h + 3. What is the second derivative of k(i) wrt i? 756*i**2 - 42 Differentiate 1171 - 1800 - 1919 - 495 - 141 - 3464*k with respect to k. -3464 Let y(b) = 3*b**2 - 24*b - 2. Let c(w) = w**2 - 8*w - 1. Let f(k) = -8*c(k) + 3*y(k). Let x be f(8). What is the derivative of -15*u - 5*u + x*u - 1 + u wrt u? -17 Let z(k) be the third derivative of -10*k - 4*k**2 + 13/20*k**5 + 0 + 1/12*k**4 - 3/2*k**3. Find the second derivative of z(y) wrt y. 78 What is the second derivative of 311*l - 309*l + 3561*l**3 - 167 + 40 + 2*l**2 wrt l? 21366*l + 4 Let y(s) = -2*s**2 - 24*s - 7. Let t be y(-10). Find the first derivative of 96*f - 45*f - 2 + t - 31*f wrt f. 20 Let o(m) = 8514*m**3 - 2*m**2 - 19*m - 866. Let w(l) = -6811*l**3 + 2*l**2 + 15*l + 693. Let q(x) = -15*o(x) - 19*w(x). Find the third derivative of q(n) wrt n. 10194 Suppose -a = -5*s + 20, 0 = 4*a - 5*s + s. Find the third derivative of 2*k**a - 29*k**4 + 138*k**2 + 13*k**4 + 15*k**4 - 99*k**5 wrt k. -5820*k**2 - 24*k Let b(j) be the first derivative of 169 + 38*j**2 - 1/3*j**3 + 27*j. Differentiate b(s) wrt s. -2*s + 76 Let s = -1 - 6. Let p(i) = 119*i**4 + 7*i**2 - 87*i. Let t(l) = 40*l**4 + 2*l**2 - 29*l. Let v(a) = s*t(a) + 2*p(a). Find the second derivative of v(j) wrt j. -504*j**2 Let x be 192/36 - 1/3. What is the third derivative of -10 - 27*z**x - 2*z**5 + 7*z**2 - 7*z**2 + z**2 wrt z? -1740*z**2 Suppose 3*v - 783 = -3*w, -2*w = 5*v - 904 - 413. What is the first derivative of -v*g + 12*g + 146*g + 60 wrt g? -107 Let q(w) = -490*w**2 - 2302*w + 5. Let i(h) = 735*h**2 + 3454*h - 7. Let g(r) = -5*i(r) - 7*q(r). Find the second derivative of g(p) wrt p. -490 Let q(s) be the second derivative of -589*s**6/30 - 489*s**2/2 - 135*s. Differentiate q(c) with respect to c. -2356*c**3 Let s be (0 + 1)/((3 + -4)*-1). Suppose -5*h = c - 89, c - s + 2 = 0. What is the third derivative of -24*v**2 + 22*v**3 + h*v**2 - 19*v**3 wrt v? 18 Suppose -9*h + 130 = 112. Differentiate -18*v**2 - 40 - 15*v**h + 15 - 19 with respect to v. -66*v Suppose 5*h = -2*m + 10, -3*h + 4*h - 2 = 2*m. Suppose 0 = -2*w - h*w + 296. What is the first derivative of -2 - 100*o**3 + w*o**3 + 3 wrt o? -78*o**2 Let y(u) = -5584*u**5 - 191*u**2 - 7*u - 8. Let d(p) = -22338*p**5 - 764*p**2 - 27*p - 36. Let r(j) = -2*d(j) + 9*y(j). Find the third derivative of r(v) wrt v. -334800*v**2 Suppose -2*s - 7*s = -1782. Differentiate 320*x - 163*x - s - 101*x + 24 wrt x. 56 Let h(x) = 6*x**3 - 6974*x**2 - 3*x + 3348. Let j(r) = 4*r**3 - 4650*r**2 - 2*r + 2231. Let d(b) = 5*h(b) - 8*j(b). Find the second derivative of d(u) wrt u. -12*u + 4660 Let a = 15 + -122. Let k = a + 114. Find the second derivative of k*n + 2*n + 575*n**5 - 548*n**5 wrt n. 540*n**3 Let i be (2/(-6))/(16/(-8352)). Find the first derivative of i + 43*f - 251 - 15*f wrt f. 28 What is the third derivative of -2 + 950*n**3 + 150688*n - 93*n**2 - 150688*n wrt n? 5700 Let c(r) = r**3 - r**2 + r - 2. Let t(d) = -51 - 80*d**3 + 6*d**2 + 12 + 51 - 34*d. Let f(z) = 6*c(z) + t(z). Find the second derivative of f(a) wrt a. -444*a Suppose 19*r - 36 = 59. Let t = 24 + -19. Find the second derivative of 8*x**t + 19*x**r - 10*x - 43*x**5 wrt x. -320*x**3 Let w = 192 + -130. Differentiate 90 + w - 48*r - 8*r - 48 with respect to r. -56 Let b(w) be the third derivative of -453*w**5/20 + 515*w**3/6 + 459*w**2. What is the derivative of b(r) wrt r? -2718*r Let m(z) be the first derivative of 0*z**6 + 0*z**2 + 0*z**4 + 30 + 0*z**5 + 92/7*z**7 + 0*z - 76/3*z**3. Find the third derivative of m(d) wrt d. 11040*d**3 Let s(j) be the second derivative of 10*j + 0*j**3 - 2 - 1/12*j**4 + 0*j**2 - 15/4*j**5. Find the third derivative of s(q) wrt q. -450 Suppose -537*s = -520*s - 68. Let t(w) be the second derivative of 1/6*w**s + 0*w**3 + 6*w + 0 + 4/5*w**5 + 0*w**2. What is the third derivative of t(o) wrt o? 96 Let p(g) be the third derivative of -17*g**7/42 - 31*g**4/8 - g**3/2 - 234*g**2. What is the second derivative of p(s) wrt s? -1020*s**2 Let q be ((-12)/(-33))/2 + (-174)/(-11). Suppose 2*u - q - 64 = 0. What is the second derivative of 14*t + u*t**5 + 38*t**5 - 60*t**5 wrt t? 360*t**3 Find the second derivative of 101*p + 155*p**2 - 12*p**2 + 97*p**2 + 123*p**2 + 4927*p wrt p. 726 Let y be 14/8*(-88)/(-77). Suppose -4*w = 4*h - 4, 2*w + 8*h = 3*h - 7. Find the third derivative of 66*a - 25*a**y + 16*a**w - 66*a wrt a. 384*a Let l = 66 + -53. Let w(r) = l*r - 6*r - 6*r. Let t(f) = -12*f**2 - 28*f - 16. Let p(q) = 2*t(q) + 56*w(q). What is the first derivative of p(a) wrt a? -48*a Let i(z) be the second derivative of -64*z**7/3 + 311*z**4/12 - z**3/2 - 4*z - 250. What is the third derivative of i(n) wrt n? -53760*n**2 Let s be (167 + -24)*(-1 - -2). What is the derivative of -71*p**2 - 41*p**4 - 72*p**2 + 48 + s*p**2 wrt p? -164*p**3 Let c be (-6 - -8)/(-4*2/(-8)). What is the derivative of -365 - 71*o**2 - 35*o**c + 174 wrt o? -212*o Let n(o) = 6*o + 35 - 15 - o + o**2. Let q be n(7). What is the second derivative of 17*t - 13*t**2 - 104 + q wrt t? -26 Let k(r) = 60*r**2 + 14*r + 1. Let s(p) = -90 - 2*p**2 + 89 + 37*p - 37*p. Let t(y) = -k(y) - 2*s(y). What is the second derivative of t(z) wrt z? -112 Let v(p) = 42*p + 26. Let b(x) = -x + 2. Suppose -t - 6 = -8. Let z(k) = t*v(k) - 18*b(k). What is the derivative of z(u) wrt u? 102 Let c(h) be the third derivative of 23*h**4 - 129*h**3 - 11020*h**2. What is the derivative of c(x) wrt x? 552 Let c(r) be the second derivative of -r**7/21 + r**6/6 - 18*r**4 + r**3/2 + 1306*r. Find the third derivative of c(u) wrt u. -120*u**2 + 120*u Let v(z) be the second derivative of 1/2*z**3 + 0 + 116*z + 53/12*z**4 + 33/2*z**2. Find the second derivative of v(i) wrt i. 106 Suppose -5*q + 7*k - 8*k + 30 = 0, 5 = -3*q + 4*k. What is the third derivative of -8 - 33*o**6 + 15*o**6 + o**q - 11*o**2 + 18 - 8 wrt o? -2160*o**3 + 60*o**2 Let z(j) = -5*j - j - 51*j**2 + 5*j + j**3 + 50*j**2. Let r(y) = -85*y**3 + 4*y**2 + 4*y - 23. Let w(v) = r(v) + 4*z(v). Differentiate w(f) with respect to f. -243*f**2 Differentiate -68*c - 643 - 280*c + 1757 wrt c. -348 Let c be (-5 - 5)/(10/(-4)). Find the third derivative of -4 - c + 185*j**2 - 1 + 9 + 5*j**3 - 2*j**6 wrt j. -240*j**3 + 30 Let q(i) = -176*i - 1092. Let n(u) = 356*u + 2180. Let k(b) = -3*n(b) - 5*q(b). What is the first derivative of k(v) wrt v? -188 Let m(j) be the third derivative of 5*j**9/252 - 69*j**6/20 + 3149*j**5/60 - j**3/3 - 3*j**2 + j + 161. What is the third derivative of m(o) wrt o? 1200*o**3 - 2484 Differentiate -5312 + 2824*c + 2826*c - 34*c**2 + 2814*c - 11294*c + 2815*c with respect to c. -68*c - 15 Let c(n) be the first derivative of -862*n**3 - 988*n**2 + 1070. Find the second derivative of c(m) wrt m. -5172 Let w(q) be the third derivative of -17*q**6/20 + 959*q**5/60 + q**2 - 132. Find the third derivative of w(r) wrt r. -612 Find the third derivative of 1159*o**5 + 124*o**6 + 39*o**4 - 1285*o**2 - 1159*o**5 + o**4 - 117*o**6 wrt o. 840*o**3 + 960*o What is the first derivative of 31985*c**3 + 1404 + 54 - 30163*c**3 wrt c? 5466*c**2 What is the second derivative of 9*z - 106*z**2 - 15368*z**3 - 110*z**2 + 9*z - 12 + 3*z**4 + 15368*z**3 wrt z? 36*z**2 - 432 Find the second derivative of 19*t + 160*t**3 - 615*t - 1368*t + 89*t**3 wrt t. 1494*t Let a(m) be the second derivative of 0 + 0*m**3 + 1/3*m**4 - 1/5*m**5 + 71/2*m**2 + 87*m. What is the derivative of a(o) wrt o? -12*o**2 + 8*o Let i(z) be the first derivative of 18*z**3 - 23*z**5 - 13 + 5575*z - 5575*z + 2*z**5. Find the third derivative of i(h) wrt h. -2520*h Differentiate -5048 + 5802 - 49*v**2 + 613*v**2 wrt v. 1128*v Let b(o) be the second derivative of -37*o + 49/2*o**2 - 1/30*o**6 + 1 + 0*o**4 + 1/6*o**3 + 0*o**5. Find the first derivative of b(h) wrt h. -4*h**3 + 1 Let m(r) = 5*r**2 + 27*r. Let p = -42 + 64. Let u(l) = 25*l**2 + 136*l. Let y(t) = p*m(t) - 4*u(t). What is the second derivative of y(j) wrt j? 20 Let n(x) be the second derivative of 817*x**7/42 + 5*x**3/2 + 6*x**2 + 795*x - 1. What is the second derivative of n(d) wrt d? 16340*d**3 Let a(y) be the first derivative of -y**6/120 + y**5/120 + 13*y**4/
{ "pile_set_name": "DM Mathematics" }
) = 2*w**3 + 2*w**2 - w - 1. Let l be (-12)/(-8) + 1/2. Suppose 3*j = 11 - l. Suppose j*v = -7 + 1. What is t(v)? -7 Let d(l) = l**2 - 6*l + 6. Suppose 2 = o + 2*k, 4*k - 2*k = 2*o - 16. Suppose -2*u - o = -16. Suppose -u*a + 27 = -3. What is d(a)? 6 Let h(g) = g**2. Let p be h(0). Suppose 5*u + 4*j + p*j - 12 = 0, -3*u + 14 = -j. Suppose 4 = u*n + 16. Let s(z) = z + 2. Give s(n). -1 Suppose 2*r = 7 + 5. Let g(a) = r*a - a**2 - 4 - a**2 + a**2. Give g(6). -4 Suppose 7 = -3*k + 5*t - 8, 0 = 5*k - t + 47. Let n = -5 - k. Let r be (n/10)/((-2)/4). Let b(j) = j - 1. What is b(r)? -2 Let d(v) = -v**2 - 11*v - 6. Suppose -18*t - 100 - 8 = 0. Calculate d(t). 24 Let a(s) = 8*s - 1. Suppose 0 = 12*m - 16*m + 140. Let j = m + -34. Determine a(j). 7 Let b(r) = 4*r + 14. Let u(s) = s + 3. Let h(c) = -10*c**3 - c**2 + 3*c - 2. Let v be h(1). Let y = -16 - v. Let m(k) = y*b(k) + 28*u(k). Give m(2). 8 Suppose l + 15 = 4*k, -2*l - 15 = -k + 2*l. Let m(x) be the first derivative of -3*x**2/2 + x + 7. Determine m(k). -8 Let x(b) = b**3 + 0*b**2 - 17 - 11*b**2 + 0*b**2 + b**2 - 9*b. Give x(11). 5 Let o be (-15)/90 - 38/(-12). Let g(i) = i**o - 9*i**3 - i**3 - 1 - 3*i**3 - i + i**2. Give g(-1). 13 Let w(y) be the second derivative of -y**5/120 + 5*y**4/24 - y**3 + 11*y. Let t(q) be the second derivative of w(q). Calculate t(6). -1 Let b = -103 - -151. Suppose -3*n + b = 9. Let v(l) = -175 + 174 - 11*l + n*l + 12*l. What is v(-1)? -15 Let h(r) = -r + 35. Let j be h(33). Suppose 0*f - 40 = 3*f + 5*u, 0 = 2*f + j*u + 20. Let k(b) = -2*b - 4. Determine k(f). 6 Let u(d) = 18 - 27 + 10 + d. Let g be 2/11 + (-150)/(-22). Suppose 0 = -4*x - g + 31. What is u(x)? 7 Let z be -2 - 2 - (16 - 13). Let s(c) be the third derivative of c**6/120 + c**5/10 - 5*c**4/24 + 3*c**3/2 - c**2. Determine s(z). -5 Let u(i) be the first derivative of -i**3/3 - 11*i**2/2 + 4*i - 658. Give u(-12). -8 Let m = 42 - 40. Let g(f) = -f + 4*f - m - f. What is g(7)? 12 Let b(i) = i**3 - 7*i**2 - 6. Let c(v) = v**2 + 6*v + 1. Let l be c(-3). Let y be 2/6 - (-276)/(-18). Let x = l - y. Determine b(x). -6 Let y(s) = -s**2 + 9 - 4 - s + 5*s - s. Let x be y(5). Let n(w) be the third derivative of w**4/24 + 4*w**3/3 - 4*w**2. Determine n(x). 3 Let p(o) = -o**3 - 6*o**2 - o - 6. Let n = 18 + -13. Suppose 3*f + k - 4 = n, f + 2*k = 3. Suppose -1 = f*r + 17. What is p(r)? 0 Let l(b) = 4*b - 9. Let p(a) = a**2 + 59*a + 4. Let z be p(0). What is l(z)? 7 Let o = -1921 + 1916. Let i(y) = -4*y - 13. Give i(o). 7 Suppose 29*d + 2*r - 2 = 31*d, -r + 4 = 0. Let n(j) = -j**2 + 5*j - 1. Determine n(d). 5 Let p(t) = -5*t**3 - 2*t + 1. Let k be p(1). Let l(r) be the first derivative of r**4/4 + 7*r**3/3 + r**2 - 6*r + 187. Give l(k). 18 Let q(w) = -3*w**3 - 2*w**2 - 3*w - 2. Let s(v) = -4*v**3 - 3*v**2 - 4*v - 3. Let l(j) = 5*q(j) - 4*s(j). Let o be l(0). Let x(m) = -4*m - 1. Calculate x(o). -9 Let n(l) be the second derivative of -4*l**3/3 + 3*l - 11. What is n(-2)? 16 Let p(n) = -n + 3. Let q be p(0). Let u(g) = -14*g**3 + 6 - 18*g**3 - 5*g**2 + g + 31*g**q. Determine u(-5). 1 Let n(u) = 3*u + 1094 + u**3 - 1096 + 4*u**2 - 9*u. Determine n(-4). 22 Let x(k) be the first derivative of -3*k**2/2 - 2*k + 1. Let c = -62 + 67. Let b(y) = -7*y - 5. Let z(w) = c*x(w) - 2*b(w). Calculate z(0). 0 Let f(h) = -h + 13. Let q be f(7). Suppose -q = 5*s + 4. Let z(m) = -4*m**2 - m. What is z(s)? -14 Let q(u) = -10*u**3 - 1. Let d be q(-1). Let s(b) = 5 + 2 + 3 - 15 + 5*b + 5*b - b**2. Calculate s(d). 4 Let n be (4 - 0)/(-3*4/6). Suppose 7*t = 3*t. Let o be t - (n + 4 - 3). Let s(a) = 4*a**2 - a. Calculate s(o). 3 Let h(o) = -23*o**3 + 7*o**2 - 5*o - 3. Let t(a) = 37*a**3 - 11*a**2 + 8*a + 4. Let w(i) = 8*h(i) + 5*t(i). Give w(2). 8 Let d(o) be the third derivative of o**5/60 + o**4/2 + 3*o**3/2 - 131*o**2 + 2. What is d(-8)? -23 Let l(r) = r**2 - 11*r - 8. Let p be l(12). Let b be -6*(6/p - 3). Let c be 4 - (-3)/b*-3. Let x(y) = y**2 - 5*y + 3. Determine x(c). -3 Let m be 4/(((-32)/12)/(-4)). Let i(x) = m - 11*x + 13*x - 2 - x**2. Suppose k - 6*n = -2*n + 15, 5*k - 21 = 2*n. Calculate i(k). 1 Let m(h) = h + 3 + 0*h + 7. Let c be 0/(-1)*(-1)/2*2. Determine m(c). 10 Let k(c) = 4*c**3 - 2*c**2 - 2*c - 1. Let v = 77 - 62. Let t(l) = -l**2 + 15*l - 1. Let q be t(v). Give k(q). -5 Let n(l) = -4*l**3 - 3*l**2 - 3*l + 6. Let m(x) = -7*x**3 - 7*x**2 - 7*x + 12. Let w(b) = -3*m(b) + 5*n(b). Let h = -74 - -69. What is w(h)? -11 Let z(r) = -3 - 1 + 3 + 3*r - 15*r. Let i(n) = n - 13. Let u be i(15). Suppose 2*f - 3 = -p + 6*p, -u*p = 5*f + 7. Give z(p). 11 Let h(k) = k - 14 + 3*k**2 - 7*k**2 + 3*k**2 + 7*k. What is h(5)? 1 Let j = -23 - -27. Let f be j*-1*(-4)/(-4). Let s(u) = u - 20. Let b(l) = 5. Let h(y) = 9*b(y) + 2*s(y). Give h(f). -3 Let t(c) be the first derivative of -c**4/4 + 4*c**3 - 11*c**2 - 12*c + 623. What is t(10)? -32 Suppose -1 = -3*i - 4*w - 20, -2*i - 10 = 2*w. Let b(r) = 18*r**3 + r**2. Calculate b(i). -17 Suppose -3*n = 4*t - 9, 0 = t - 4 + 1. Let m(r) be the second derivative of r**4/6 + r**3/6 - 2*r. What is m(n)? 1 Let l(u) = u + 6. Let j be (18/(-15))/(152/50 + -3). Let b be ((-18)/30 + (-68)/j)*-3. Give l(b). 1 Let r(n) be the first derivative of -3*n**2 + 7/3*n**3 + n - 6 - 1/4*n**4. Determine r(6). 1 Let a(i) = i + 1. Suppose -43*p + 41*p = 14. Let o be (6 + p - 9) + 5 + -1. Give a(o). -5 Let b(x) be the first derivative of -x**2/2 - x + 237. Let i = -10 + 7. Let k be -1 + i/(3/5). Give b(k). 5 Let l be ((-6)/(-4) + -1)*24. Suppose -p - p + l = 0. Let r(n) = 1340*n - 2717*n + 1378*n + 2. Determine r(p). 8 Let g(k) = k**3 - 2*k**2 - k + 2. Let j(t) = t**3 + 18*t**2 + 2*t + 38. Let i be j(-18). Suppose -2*a - 2*r = -4*r + 2, i*a - 5*r - 1 = 0. Calculate g(a). -12 Let l(c) = -c**3 - 11*c**2 - 10*c + 4. Let g(n) = -2*n**2 - 44*n - 10. Let m be g(-22). What is l(m)? 4 Let w(k) be the third derivative of 10*k**2 + 0*k**5 + 11/6*k**3 + 0 + 0*k**4 + 1/120*k**6 + 0*k. Determine w(0). 11 Let o(i) be the third derivative of i**7/2520 - i**6/360 + i**5/120 - 13*i**4/24 - 5*i**2. Let f(p) be the second derivative of o(p). Calculate f(3). 4 Let v(n) = 2*n + 11. Let w be (-6)/(-99) + (-606)/198. Calculate v(w). 5 Let l(c) be the third derivative of -c**5/60 + c**4/6 + 2*c**3/3 + c**2. Suppose 3*m - 8*m + 221 = s, -4*m + 2*s + 188 = 0. Suppose 18 - m = -9*f. Give l(f). 7 Let y(i) = -13*i**2 - 27*i - 14. Let g(v) = -3*v**2 - 7*v - 3. Let x(o) = -9*g(o) + 2*y(o). Give x(-8). -9 Let a(m) = -223 + m**2 + 115 + 106. Let r = 4 - 2. What is a(r)? 2 Let m(f) = f + 28. Suppose -18*o = -16*o. Determine m(o). 28 Let t(c) = 11*c**3 + 9*c**2 - 26*c + 14. Let q(l) = -5*l**3 - 5*l**2 + 13*l - 7. Let j(o) = -13*q(o) - 6*t(o). What is j(10)? -23 Let k(j) = -j**2 - 4*j - 6. Let w(q) = 8*q + 19. Let y be w(-3). Calculate k(y). -11 Let q(r) be the third derivative of -r**4/24 + 5*r**3/3 + 100*r**2. What is q(5)? 5 Let q = -15 - -11. Suppose -p + 3*r - 6 + 0 = 0, -5*p + 18 = r. Let k(x) = 15 - p + x - 9. Give k(q). -1 Suppose f - p - 2 = -4*p, 0 = 3*f - p - 16. Let a(d) be the third derivative of 0 + 5/24*d**4 + 1/12*d**f - 1/120*d**6 + 4/3*d**3 + 0*d + 5*d**2. What is a(6)? 2 Let b(d) = -d**3 + 6*d**2 + d + 1. Let s = -27 + -32. Let j = s - -30. Let p = -23 - j. What is b(p)? 7 Let r(d) = -10*d - 9. Let i(u) = 9*u + 8. Let l(o) = -5*i(o) - 4*r(o). What is l(-3)? 11 Let c(u) = -u - 6 + 0*u + 4. Suppose 3*m = 3*z - 21, -5*m + 70 = -z + 85. Calculate c(m). 0 Suppose 3*a = -a. Let t = -129 - -124. Let f = a - t. Let w(n) = -n + 2. Calculate w(f). -3 Let l(d) be the third derivative of -1/60*d**5 + d**2 + 0*d**4 + 13/6*d**3 + 0*d - 20 + 1/120*d**6. Give l(0). 13 Let j(p) = p**3 - 4*p**2 + 3*p - 2. Let w = 131 + -128. Give j(w). -2 Suppose 63 = 11*g - 14. Let c(n) = -4*n + 14. Give c(g). -14 Let p(n) = -7*n + 37. Let q be 9/2 - (289/(-34) - -6). Calculate p(q). -12 Let d(c) = -7*c**3 - c**2 + c. Let x(l) = -15*l**3 - l**2 + 3*l + 1. Let z(y) = -13*d(y) + 6*x(y). What is z(-4)? 34 Let j = 739 - 747. Let v(o) = -o**3 - 7*o**2 + 2*o - 4. Calculate v(j). 44 Let i(a) = -a**3 + 7*a**2 - 5*a. Suppose -4*v - 5*d + 503 = 0, -3*v + 263 = -4*d - 153. Let o be 24/v + (-106)/(-22). What is i(o)? 25 Let b(h) = -7*h**3 - 1. Let a be -6 + 9 + -18 + 2. Let u = a + 15. Sup
{ "pile_set_name": "DM Mathematics" }
*v + 2*v + 3*v)*(5*v**2 - 2*v**2 - v**2 + (4*v + 0*v - 2*v)*(3*v + 2*v - 3*v) + 0*v + v**2 + 0*v). 14*v**3 Expand (3 - 2 - 2)*(-f + 1 - 1 + (-6*f - f + 4*f)*(2 + 0 - 3)). -2*f Expand (-4*o + 4*o - 2*o)*(-11*o - 4*o - 6*o). 42*o**2 Expand (n - n + 4*n)*(2*n**2 + 2*n**2 - 2*n**2)*(-2*n**2 + n - n). -16*n**5 Expand -2*z + 6*z**2 + 1 + 5*z**2 - 5*z**2 + (-3*z + 4*z + z)*(2*z - 3 + 3) + 0*z**2 + 3*z**2 - 2*z**2 - 3*z**2 - 3*z**2 + 4*z**2 - z + z + 2*z**2. 11*z**2 - 2*z + 1 Expand (2*o - 3 + 3)*(-o - 2*o + 2*o) + (-3 + 6 - 2)*(0*o**2 - 4*o**2 + 2*o**2). -4*o**2 Expand (0*d - 3*d + 4*d)*(-8*d**3 - 19*d**3 - 3*d**3)*(-1 + 1 + 3*d). -90*d**5 Expand 0*y + 0*y - y + (-2*y + 3*y - 3*y)*(3 + 1 - 2) + 0*y + 4*y - y. -2*y Expand (5*g**3 - g**3 - 5*g**3)*((0*g + 4*g - 5*g)*(0 - 5 + 3) + 4*g - 2*g - g) + (3*g - 3*g + 3*g)*(g**3 - 6*g**3 + 4*g**3). -6*g**4 Expand (3*z**3 - 2*z**3 + 0*z**3)*(4*z - 4*z + z**2). z**5 Expand (-133*a + 113*a + 126*a)*(3 - 3 + a**3). 106*a**4 Expand -3*u**4 + 5*u**4 + u**4 + (3*u + u - 2*u)*(u**2 - u**2 - 2*u**3). -u**4 Expand (0*f + 6*f - 4*f + (2*f + 0 + 0)*(1 + 1 - 1) + 2*f + f - f)*(0*f**2 - 2*f**2 + 3*f**2)*(f**2 - 1 + 1). 6*f**5 Expand ((1 + 0 - 2)*(-j**4 + j**2 - j**2) + 2*j**4 - j**4 + j**4 + j**4 - 3*j**4 + 4*j**4 + 2*j**4 + j**2 - j**2)*(j + 8*j - j). 56*j**5 Expand (35*j**3 - 119*j**2 + 241*j**2 - 122*j**2)*(3*j**2 - 4*j**2 - j**2). -70*j**5 Expand -u**5 + 0 + 0 + (2*u**3 - 3*u**3 + 3*u**3)*(u**2 + 4 - 2 - 1). u**5 + 2*u**3 Expand 1 - 1 - 3*t**5 + (2*t**5 - 4*t**5 + 3*t**5)*(2 - 2 - 2) + t**5 - t**5 + 3*t**5. -2*t**5 Expand (5*x**2 + x**2 - 3*x**2)*(-2*x + x + 0*x + (4*x - x + 0*x)*(2 - 2 - 1)). -12*x**3 Expand (-20*p - 6*p - 35*p)*(-6*p + 3*p + 2*p). 61*p**2 Expand (0 + 1 + 2)*(-r + 0*r + 3*r)*(-9*r + 9*r + 9*r**2). 54*r**3 Expand 5*c**2 - 4*c**2 + 0*c**3 + c**3 - 2*c**3 - c**3 + c**3 + (-11*c**3 + 6*c**3 - 6*c**3)*(-1 - 2 + 1) + c**3 + c**3 - c**3. 22*c**3 + c**2 Expand t - 2*t + 2*t + (0 - 3 + 4)*(2*t + 0*t - 4*t) + 3*t + 7*t - 3*t. 6*t Expand (i**3 + i - 3*i + 0*i - i**2)*(5*i + 4 - 4). 5*i**4 - 5*i**3 - 10*i**2 Expand 4*h**3 - 2*h**3 - 4*h**3 + (2 - 2*h**3 - 2)*(1 - 4 + 4) + h - h - 3*h**3 + 26*h**3 + 17 - 17. 19*h**3 Expand (2*z - 4*z + z + (-2 + 0 + 3)*(-1 + 1 - 2*z))*(-1 + 1 + 1 + (-1 - 1 + 4)*(-3 - 3 + 1)). 27*z Expand -1 + 6*g**4 + 1 + (2*g**2 - 2 + 2)*(-4*g**2 + 5*g**2 + 4*g**2). 16*g**4 Expand (7 + 3*i**2 - 7)*(i + 5*i - 4*i) + (-6*i**2 + 3*i**2 + 2*i**2)*(5*i - 4*i + 0*i)*(3 - 1 + 0). 4*i**3 Expand -5*u + u + 3*u + (6*u - u - 4*u)*(3 - 3 + 1) + 2*u + 5*u - 5*u + u - u - u. u Expand (-f - 2 + 2*f + 0*f)*(-1 + 21 - 3). 17*f - 34 Expand (-3*w**2 + 0*w**2 + 6*w**2)*(-2 + 1 + 3 + 8). 30*w**2 Expand (-4 + 0 + 3 - 1 + 0 + 3 + (-6 + 4 + 0)*(3 + 2 - 4))*(-3 + 1 + 5)*(4*o - 3*o + o). -6*o Expand k**4 - 2*k**4 + 2*k**4 + (-2*k**2 - 1 + 1)*(0*k + 5*k**2 + 0*k) + (-1 + 1 - k**4)*(-1 - 1 + 1). -8*k**4 Expand (5*l**4 + 4*l**4 - 4*l**4)*(-2 + 1 - 1). -10*l**4 Expand (-j**4 - 3*j + 3*j + (-23*j - 155 + 155)*(-4 + 4 - j**3))*(0 + j + 0). 22*j**5 Expand (-6*f + 0*f + 2*f + 0*f - 3*f + f + (2*f - 4*f + f)*(-1 + 1 - 1))*(-2 + 1 + 4)*(1 - 3 + 0)*(-4*f + 0*f + 3*f). -30*f**2 Expand (2*w**4 - 8*w**4 + 2*w**4)*(-2*w + 0 + 0) + (1 - 1 + 2)*(6*w**5 + 0*w**5 - 4*w**5) - 1 + 1 - 2*w**5. 10*w**5 Expand -4*n**4 + 2*n**4 + 3*n**4 + (n**2 - 4*n**2 - 2*n**2)*(n**2 - n**2 + 2*n**2). -9*n**4 Expand (5 + 2*r**2 - 5)*(-6 + 3 + 0) + (2 - 3*r - 2)*(-3*r - 2*r + 4*r). -3*r**2 Expand (-5*q + 5*q + q)*(3 + 1 - 2)*(-5*q + 6*q + 3*q). 8*q**2 Expand (-n + n - n)*(1 - 1 - 2) - n + 3*n - n + n + n - 3*n - 15*n + 9*n + 8*n - 1. 4*n - 1 Expand (0*y**4 - 2*y**4 + 4*y**4)*(-1 + 4 - 5) - y**4 - 1 + 1 + 63*y**2 + 1 - 63*y**2 - 2*y**4. -7*y**4 + 1 Expand (-7*u + 9*u + 4*u)*(-4 + 4 + 2*u). 12*u**2 Expand -2*x**4 + 3*x + 8 - 8 + (-4*x + 3*x + 4*x)*(-x**3 + 3*x**3 - 4*x**3) + x**4 + 2*x**4 - x**4. -6*x**4 + 3*x Expand (12*z - 7*z + 28*z)*(5*z**2 - z**2 - 5*z**2). -33*z**3 Expand (-1 - 1 + 0)*(9*p**3 - 45*p + 46*p + 2*p**3). -22*p**3 - 2*p Expand (f + f - 3*f)*(4 - 4 + 3) + 0*f + 4*f - 2*f + (0*f - 2*f + 5*f)*(-2 - 8 - 1). -34*f Expand ((3*l - 5*l + 4*l)*(-1 + 0 + 3) + l + 2*l - 2*l + 0*l + 7*l + l)*(6*l - 3*l - 5*l). -26*l**2 Expand (-j**3 + 0*j + 0*j)*(-j + 3*j - j)*(-18 - 1 + 6). 13*j**4 Expand (-3 + 3*c + 3)*(-1 + 1 - 2 + 0 - 1 + 3 + (-2 + 2 - 2)*(0 - 3 + 1) + 3 - 1 - 1). 15*c Expand (w + 0*w - 3*w)*(-w + 2*w + 2*w) + 0*w**2 - 4*w**2 + w**2 + (-3 - 3 + 4)*(w**2 + 0*w + 0*w). -11*w**2 Expand (3*k**2 + 0 + 0 + (4*k - k - 2*k)*(-4*k + 3*k - k) - k + k**2 + k)*(-3 + 4 - 2)*(11 - 5*k - 11). 10*k**3 Expand (-3*o**3 + 1 - 1)*(35*o - 12*o - 22*o). -3*o**4 Expand (n**2 + 18*n + 3*n**4 - 18*n)*(-2 + 1 - 2). -9*n**4 - 3*n**2 Expand l**3 + 0*l**3 + 0*l**3 - 5*l**3 + 0*l**3 + 0*l**3 + (4*l - 4*l + 2*l**2)*(l + 0*l - 2*l). -6*l**3 Expand -4*n**3 + 0*n**2 + 0*n**2 + 3*n**3 - 3*n**3 + n**3 + (4*n**2 - n**2 - 4*n**2)*(-4*n + 3*n + 0*n). -2*n**3 Expand (5 + 0 - 1)*(0*a + 0*a + 3*a). 12*a Expand (-2*d + 4 - 4*d + 5*d)*(d**3 - 5*d**2 + 5*d**2). -d**4 + 4*d**3 Expand 1 + w**2 - 5 - 2*w**2 + (-5*w + 5*w + 4*w)*(-4*w + 0*w + 3*w). -5*w**2 - 4 Expand (-5 + 2 + 5)*(1 - 2*f - 1) - 3*f + 0*f + 0*f + (-2 - 1 + 4)*(f - f - f). -8*f Expand (-2 + 2 + d**2 - 3*d**2 + d**2 + d**2 + (d - 2*d + 3*d)*(5 - 5 - d) - d**2 + 2*d - 2*d - d**2 + 0*d**2 + 2*d**2)*(4*d**2 - 2*d**2 + 6*d**2). -16*d**4 Expand (-13 - 68 + 18)*(s**2 + s**2 + 0*s**2). -126*s**2 Expand (-3 + 1 - 1)*((-4 + 5 + 1)*(-2*u + 0*u + 3*u) + 0 + 0 + 12*u). -42*u Expand (-n - n - n)*(4*n - 4*n - n**2). 3*n**3 Expand (2 + 2 - 2)*(3*s**5 - s**5 + s - s**5 - 2). 2*s**5 + 2*s - 4 Expand 1 + 155*u - 154*u - 2*u**2 - 2 + (u**2 - 4*u**2 + 4*u**2)*(-3 - 3 + 5). -3*u**2 + u - 1 Expand (292 - 292 + 45*o)*(0 + 4 - 3)*(-5 + 2 + 1). -90*o Expand (4*s - 3*s - 5*s)*(-4*s + 4*s + 2*s**2) + (s**3 - s**3 - 3*s**3)*(-3 + 1 + 3). -11*s**3 Expand (2 + 2*k**2 - 1 + 2)*(2*k**2 + 5*k**2 - 6*k**2). 2*k**4 + 3*k**2 Expand (4 - 6 + 5)*(-3*o**3 + 3*o**3 + 2*o**4) - 2 + 2 + o**4. 7*o**4 Expand 2*v**3 + 0 + 0 + (2*v**3 - 4*v**3 + 3*v**3)*(4 - 1 - 1) - 22*v**3 + 17*v**3 + 19*v**3. 18*v**3 Expand (7*z**2 - 2*z**2 + 0*z**2)*(z - z - z**2). -5*z**4 Expand (5126 + 81*h - 5126)*(-2*h**2 + 3 - 3). -162*h**3 Expand -7*y**2 + 0*y + 0*y + (2*y - y + y)*(-2*y - 5*y + 5*y). -11*y**2 Expand (-6 + 2 + 2)*(4*x + 13*x + 6*x). -46*x Expand (-y**3 + 0*y**3 + 2*y**3)*(2*y**2 + 0*y + 0*y + 3*y**2 + y**2 - 5*y**2 + (3 - 4 + 3)*(0*y**2 + 5*y**2 - 3*y**2) - y**2 - 1 + 1) + 2*y**5 - 3 + 3. 6*y**5 Expand (-2*b**2 + 4*b**2 - 4*b**2)*(-2*b - 4 + 4) + 1 - 2*b**3 - 1 - 6*b + 3*b**3 + 6*b. 5*b**3 Expand (-1 - 2 + 0)*(-4 + 2 - 1)*(-2*b**2 + 0*b**2 + 3*b**2). 9*b**2 Expand (1 - 1 - p)*(0 - 3 + 1 + (2 + 1 - 4)*(2 - 4 + 0) + 7 + 14 + 3). -24*p Expand (-1 - 2 + 1)*(-2 + 0 - 1)*(k + 0*k - 8*k). -42*k Expand -2*o**2 + 4*o**2 + o**2 + (-1 - 4 + 3)*(2*o**2 + 2*o**2 - 5*o**2). 5*o**2 Expand (189 - 177 + 0*t**2 - 2*t**2)*(1 + 1 - 3). 2*t**2 - 12 Expand (-q - 2*q**4 + q)*(-6 + 2 - 1)*(-q + 0 + 0). -10*q**5 Expand (2*k**4 + 4*k**2 - 4*k**2)*(-6 + 0 + 2). -8*k**4 Expand 4*d + d**5 - 4*d - 2*d**5 + 2*d**5 + 2*d**5 + (3*d - 2*d - 7*d)*(2*d**3 + 3*d**4 - 2*d**3). -15*d**5 Expand (-5*x + 5*x - 5*x**3 + (-x**2 + 1 - 1)*(-2*x + 5*x - 4*x))*(-2 + 0 + 4). -8*x**3 Expand (-1 + 0 + 3)*(-2*v + v**2 + 2*v) + 3*v**2 + 3*v**2 - 4*v**2 + 5*v**2 + 2 + 0*v**2 - 4*v**2. 5*v**2 + 2 Expand (-2 + 5 - 2)*(10*u - 8*u + 13*u). 15*u Expand (-3*z - 2*z + 3*z)*(1 - 4*z - 1)*(0*z - z - z)*(2*z - 2*z + z). -16*z**4 Expand (3*i - 2*i - 2*i)*((-4 + 3 + 2)*(-i + i + 3*i) + (0 - 1 - 1)*(0 + 0 - 2*i) - 2*i - 4*i + 4*i). -5*i**2 Expand -4*t - 1 + 3*t + 5*t - 2*t + t + 4*t + (2 - 5 + 1)*(0*t + 5*t - 3*t). 3*t - 1 Expand (-2*k + 0*k + 4*k)*(0 + 4 - 2) + ((0 + 1 - 3)*(-k - 2*k + 4*k) + 2*k + 0*k + k)*(-2 - 2 + 5). 5*k Expand (-6 + 0 + 3)*(2*v + 0 + 0) + (-v - v + 0*v)*(0 + 5 + 0). -16*v Expand (5*y - 5*y + 8*y + (-4 + 1 + 1)*(-3*y - 3*y + 5*y) - y - 8*y + 3*y)*(-3*y - y + 3*y). -4*y**2 Expand -2*w**2 - w**2 + 2*w**2 + (-w + 2*w**2 + w)*(5 - 4 + 1). 3*w**2 Expand -2*h**3 + 0*h**3 + 4*h**3 + (-1 - 2*h**2 + 1)*(-2 - h + 2) - 5*h**3 + 5*h**3 + h**3 - 2 + 2*h**3 + 2 + (9*h**2 + 7*h**2 - 4*h**2)*(-2*h + 0*h - 3*h). -53*h**3 Expand -s + s - s + (-1 +
{ "pile_set_name": "DM Mathematics" }
05. Let l(d) = -74*d - 1308. Let t(h) = -7*c(h) + 6*l(h). Differentiate t(w) wrt w. 116 Let t(m) be the third derivative of -16*m**7/7 - m**5/20 + m**4/24 - 51*m**3 - 675*m**2 - 2. What is the first derivative of t(s) wrt s? -1920*s**3 - 6*s + 1 Let a(i) be the second derivative of -341*i**7/14 + i**4/12 - 795*i**2 - 2711*i. What is the third derivative of a(j) wrt j? -61380*j**2 Suppose 6 = 3*m - l - 0, -5*l = -2*m + 4. Find the third derivative of 24*a**5 + 96*a**2 + 83*a**5 - 10*a**m + 0*a**2 wrt a. 6420*a**2 Suppose 0 = g - 32 + 1. Suppose -3*t - 5*s + g = 0, 0 = -t - 5*s + 2*s + 17. Find the third derivative of -2*w**2 + 403*w**3 - 35*w**t - 404*w**3 wrt w. -6 What is the third derivative of -127*p**3 + 400*p**2 - 29*p**3 + 64*p**2 + 131*p**2 + 142*p**2 wrt p? -936 Let c(t) = t**2 + 6*t + 20. Let h be c(-4). Suppose 14*u - h = 8*u. Find the first derivative of u*j + 4*j - 9*j + 20 - 14*j wrt j. -17 Let o(s) be the second derivative of s**5/20 - 99*s**3/2 + 794*s**2 + 1559*s. Differentiate o(d) wrt d. 3*d**2 - 297 Let a(g) be the second derivative of 0*g**2 + 3/56*g**8 - 1/5*g**5 + 0*g**6 + 0*g**7 - 42*g - 15/4*g**4 + 0*g**3 + 0. Find the third derivative of a(z) wrt z. 360*z**3 - 24 Let b(o) be the first derivative of 9*o**4/4 - 7*o**3 - 3*o**2 - 44*o + 549. What is the second derivative of b(j) wrt j? 54*j - 42 What is the third derivative of 185*j**4 + 150*j**6 - 185*j**4 - 139*j**6 + 3025*j**2 + 25*j**3 wrt j? 1320*j**3 + 150 Let s(g) be the second derivative of 61/30*g**6 + 0 + 0*g**2 + 0*g**5 + 0*g**3 - 17/3*g**4 - 78*g. What is the third derivative of s(l) wrt l? 1464*l Let a(s) = 2*s**4 + s**2 - 3*s + 7. Let p(x) = x**4 - 153*x**2 - 16*x - 2. Let z(v) = -2*a(v) - p(v). Find the second derivative of z(m) wrt m. -60*m**2 + 302 Let i(v) = -30*v**2 + 1474*v - 16. Let o be i(49). Let r(m) = -m + 20. Let s be r(0). Find the second derivative of -o + 18*h + 180 + s*h**4 wrt h. 240*h**2 Let n be ((-77)/63 - -2) + 4/18. Suppose l = 2 + n. Find the second derivative of -35*z**l + 4*z**3 - z + 13*z**3 wrt z. -108*z Let v(k) be the second derivative of -307*k**6/30 - k**5/20 + 613*k**4/4 + 2217*k. Find the third derivative of v(w) wrt w. -7368*w - 6 Let g(l) = l**2 - 16*l + 42. Let y be g(3). Find the second derivative of -14*w**3 + 106*w - 32*w**3 + w**2 + 44*w**y wrt w. -12*w + 2 Let u(r) = -7196*r**3 - 26*r**2 - 9*r + 56. Let y(j) = j**3 - j - 12. Let p(k) = -u(k) - 5*y(k). Find the third derivative of p(q) wrt q. 43146 Let s(z) be the first derivative of -366*z**5/5 + 1974*z + 70. Find the first derivative of s(q) wrt q. -1464*q**3 Let q = 2112 - 2108. Let v(m) be the third derivative of -2*m**3 + 5*m**2 + 0*m + 5/24*m**q + 0. Find the first derivative of v(i) wrt i. 5 What is the second derivative of 18*n**2 - 1067*n**4 + 1 + 46*n**2 - 2986*n + 1083*n**4 + 12*n**2 + 12*n**2 wrt n? 192*n**2 + 176 Let h = 17485 - 7044. What is the third derivative of h + 299*u**2 - 10441 + 60*u**3 wrt u? 360 Let n(c) = c**3 - 26*c**2 + 48*c + 41. Let p be n(24). What is the second derivative of 8*h**3 - 21*h**3 - p*h**2 - 76*h + 15*h**3 wrt h? 12*h - 82 Let g(n) = -6*n + 69. Let y be g(-36). Find the third derivative of -285*p**3 + y*p**3 + 1 + 73*p**2 + 0 + 32*p**5 wrt p. 1920*p**2 Suppose 4*s - 122 = t - 4*t, 2*s + 238 = 5*t. Differentiate -21 + 24*m**4 + 2 - t with respect to m. 96*m**3 Let a(f) = 6161*f**3 - 54*f + 138. Let h(s) = -6166*s**3 + 54*s - 148. Let r(p) = -7*a(p) - 6*h(p). What is the second derivative of r(t) wrt t? -36786*t What is the derivative of -2962 - 407 + 547*c + 802*c + 1925*c wrt c? 3274 Let r(f) be the third derivative of f**6/24 + 115*f**4/24 + 676*f**3/3 - 98*f**2. What is the first derivative of r(s) wrt s? 15*s**2 + 115 Let c(g) = g**2 + g. Let x be c(1). Find the first derivative of -75 + x*j + j + 43 wrt j. 3 Find the second derivative of 162*t**3 + 3*t**2 - 19*t**3 - 393*t + 1 - 211*t**3 - 146*t**3 wrt t. -1284*t + 6 Let p(d) be the third derivative of 2677*d**6/120 - d**5/20 - 301*d**4/24 - 1779*d**2. Find the third derivative of p(g) wrt g. 16062 Let i = 88 - 77. What is the second derivative of 252 + 3*o**5 - 245 + i*o**4 - 5*o - 2*o**5 wrt o? 20*o**3 + 132*o**2 Let t(s) be the first derivative of -1318*s**5/5 - 768*s**2 + 425. Find the second derivative of t(d) wrt d. -15816*d**2 Find the third derivative of -30318*k**4 + 30318*k**4 - 16*k**5 + 19*k**2 + 33 - 2*k**3 + 14 wrt k. -960*k**2 - 12 What is the third derivative of 1258691*s + 3 - 1259191*s + 2*s**2 - 3 - 1306*s**3 wrt s? -7836 What is the third derivative of 119*m**2 - 29*m - 1 + 79*m - 28*m - 25*m + 1646*m**6 wrt m? 197520*m**3 Let v(y) = -6*y + 7. Let b(g) = 4357*g + 2845. Let c(s) = -b(s) + 3*v(s). What is the derivative of c(z) wrt z? -4375 Find the third derivative of 209*b**2 - 6*b - 479*b**3 + 15*b**2 - 71*b**2 - 1331*b**3 wrt b. -10860 Find the third derivative of 0 + 75622*p**2 - 12*p**4 - 72967*p**2 + 0 + 8*p**3 wrt p. -288*p + 48 Let i(j) = j**4 + j - 1. Let q(s) = 2*s**4 - 89*s**3 - 43*s**2 - 2*s + 2. Let y(p) = -2*i(p) - q(p). What is the third derivative of y(x) wrt x? -96*x + 534 Let z(i) be the first derivative of -i**6/2 - 2*i**5/5 + 33*i**4/2 + 1625*i**2/2 - i - 778. Find the second derivative of z(h) wrt h. -60*h**3 - 24*h**2 + 396*h Let a = -315 + 297. Let z(j) = -5*j**3 + 39*j + 68. Let y(f) = f**3 - 10*f - 17. Let d(r) = a*y(r) - 4*z(r). Differentiate d(t) with respect to t. 6*t**2 + 24 What is the second derivative of 1743*r**2 + 26*r**4 - 870*r**2 - 871*r**2 + 4411*r - 34*r**3 + 1023*r wrt r? 312*r**2 - 204*r + 4 Let x = -2 + 14. Let d be (-8)/(-3) + 4/x. Find the third derivative of -4*g**2 + 2*g**6 - g**6 - 2*g**2 + d*g**2 wrt g. 120*g**3 Let q = 49 - 47. Suppose 0 = -q*o - u + 118, 2*u = -2*o + 7*u + 94. Find the second derivative of -7*d**4 + 57*d**3 + 9*d - o*d**3 wrt d. -84*d**2 Let t = 7 - -11. Let k be (2/6 + 0/6)*t. Find the third derivative of -96*u**6 - 97*u**k + 3*u**2 + 8*u**2 + 183*u**6 wrt u. -1200*u**3 Let x be (-2)/1 - 96/(-4)*12. What is the second derivative of -751*n + 127*n - x*n**2 + 362*n wrt n? -572 Let b(o) be the first derivative of 0*o**2 - 13/12*o**4 + 12*o + 10 - o**3. Let m(j) be the first derivative of b(j). Find the second derivative of m(d) wrt d. -26 Let x be ((-2)/30)/((-94)/235)*27/4. Let b(r) be the third derivative of 0 + 4*r**2 + 1/3*r**3 - x*r**4 + 0*r. Differentiate b(f) with respect to f. -27 Differentiate 102*i**3 + 138*i**3 - 625*i**3 + 1416*i**3 + 2005*i**3 + 8555 wrt i. 9108*i**2 Let h(i) be the third derivative of i**7/105 + 271*i**6/15 - i**5/15 - 5*i**4/12 - 7*i**3/6 - 2*i**2 - i - 3218. Find the third derivative of h(z) wrt z. 48*z + 13008 Let l = 122 - 118. What is the first derivative of 545*q**l - 278 - 320*q**4 - 21*q**4 wrt q? 816*q**3 Let o(s) = -s**3 + 10*s**2 - 10*s + 13. Let v be o(9). Find the first derivative of -10 - 13*d**4 - 3 - 39*d**4 + 13*d**v wrt d. -156*d**3 Let i(o) be the second derivative of -53*o**5/20 - o**4/12 - 641*o**3/3 - 1552*o. What is the second derivative of i(x) wrt x? -318*x - 2 Let b be (-11 - -4)*2/(-2). Differentiate -110*s**3 - 233 - 6*s**2 - b*s**2 + 26*s**2 - 13*s**2 wrt s. -330*s**2 Let z(v) = 69*v + 56. Let u = 79 - 68. Let f(s) = 208*s + 170. Let a(r) = u*z(r) - 4*f(r). Differentiate a(t) with respect to t. -73 What is the second derivative of -441*f**5 + 867*f + 1160*f - 629*f**5 - 527*f**5 wrt f? -31940*f**3 Let y(c) be the third derivative of c**9/252 + 2269*c**6/60 + 7*c**5/60 - 65*c**3 + 13061*c**2. Find the third derivative of y(x) wrt x. 240*x**3 + 27228 Let u(n) = 15*n - 86. Let l be u(7). What is the third derivative of 45 + 16*c**5 - 37 + 2*c**3 - c**2 - 18 - l wrt c? 960*c**2 + 12 Suppose -2*q - 19 = r - 23, 3*q - 2*r = 6. Suppose 6 = t + 2*t. What is the third derivative of -2*g**t - 4*g**5 - 9*g**5 + 4*g**5 + 4*g**q wrt g? -540*g**2 What is the first derivative of 322 - 1011*m**4 + 1985 + 183 - 149*m**4 + 270 wrt m? -4640*m**3 Let u(m) be the first derivative of -100*m**7/7 - m**4 + m**3 + 436*m + 658. Find the third derivative of u(x) wrt x. -12000*x**3 - 24 Suppose 16*h - 8344 = -12*h. What is the third derivative of -674*l + 1327*l - 681*l - h*l**5 + 2*l**2 wrt l? -17880*l**2 Let s(h) = 4217*h**2 - 8*h - 4844. Let x(g) = -1
{ "pile_set_name": "DM Mathematics" }
allest value in 33/7, -97, -5, 2.2, -0.8? -5 Which is the second biggest value? (a) 0.1044 (b) -0.2 (c) 5 (d) 0.3 (e) 29 c What is the smallest value in -8/5, 53, -236? -236 What is the fifth smallest value in 3, -1, -2, 1/249, -6, -1/4? 1/249 Which is the second biggest value? (a) 0.0989 (b) 81 (c) -2/179 a Which is the smallest value? (a) -4 (b) -1474 (c) 67.1 b Which is the biggest value? (a) 1 (b) -4 (c) -1439 (d) 2 d What is the seventh smallest value in -1/35, 14, 1, -130, -2, 0, -1? 14 What is the second smallest value in -3, 3, -2/25, -4, 95, 144, -5? -4 Which is the fifth biggest value? (a) -0.5 (b) -1/4 (c) 4 (d) -0.2 (e) -2/23 (f) 0.7 b Which is the biggest value? (a) -2/13 (b) -104632/23 (c) 0.2 c Which is the smallest value? (a) 3 (b) 4/9 (c) -2/799 (d) -12 (e) 4 (f) -0.5 d Which is the smallest value? (a) -3201 (b) 5 (c) 1 (d) 4 (e) -1/64 (f) -35 a What is the fourth biggest value in -3, -1, 0.4, 2926, -8, 2, -0.07? -0.07 What is the third biggest value in 4, 0.3, -3/2, 2, 119, -2/15, 0.4? 2 Which is the fifth smallest value? (a) -5 (b) -0.12 (c) -76 (d) 0.6 (e) 0.33 (f) -3/5 (g) 4 e Which is the second biggest value? (a) 251/1667 (b) 1 (c) 14 b What is the third biggest value in -0.09, -3101, -3, -9/7, -1/4? -9/7 Which is the sixth biggest value? (a) -0.3 (b) 2/9 (c) -108/11 (d) 3 (e) -2/63 (f) -4 c Which is the fourth smallest value? (a) 3 (b) -344 (c) -0.029 (d) 422 d What is the third biggest value in 2/9, -0.5, -0.4, -0.1, -3/68, 90, -4? -3/68 Which is the smallest value? (a) -2/11 (b) 2 (c) -3 (d) -10 (e) 1001 (f) 1 (g) -2 d What is the fourth biggest value in 12, -2/9, -0.5421, -2/3, 1/2? -0.5421 What is the fifth smallest value in 0.05, -0.6, -4, -8, -2, 3/40, 14? 0.05 Which is the fifth smallest value? (a) -4 (b) 3 (c) 1 (d) -4/5 (e) 2 (f) 0.2 (g) 13/6 e What is the seventh smallest value in -0.2, 2, 0.4, 20, 5, -17.8, -7? 20 What is the second biggest value in 117848332, -4/5, -1, 4? 4 Which is the second biggest value? (a) -3 (b) 3 (c) -0.24 (d) 346 b Which is the fifth smallest value? (a) 0 (b) 40414 (c) 2/311 (d) 4 (e) 4/7 b Which is the third biggest value? (a) 5 (b) -0.138 (c) 4 (d) 2088.5 (e) 6/7 c Which is the fourth biggest value? (a) 14/11 (b) 5 (c) -55.7 (d) 16/19 c Which is the second biggest value? (a) 4 (b) 0.66593 (c) 2.4 (d) 4/7 c Which is the third biggest value? (a) -2/187 (b) 5573 (c) 4/7 (d) 2/5 d What is the smallest value in 3, 0.8, -2/37, 10/9, 1.1, -1/2? -1/2 Which is the fourth smallest value? (a) 2 (b) 2/9 (c) -2716 (d) -0.5 (e) 1/9 (f) 0.1 (g) 2/7 e What is the third smallest value in -4/3, -1, 1/8, -1.1, -18, -50, 1? -4/3 What is the third smallest value in -70, 0.14736, 0, -0.02, 0.2? 0 Which is the fourth biggest value? (a) 5144 (b) 0.3 (c) 7689 (d) 5/6 b Which is the fourth biggest value? (a) 6.8 (b) 3 (c) 8 (d) 4 (e) -71 b Which is the sixth smallest value? (a) -5 (b) -0.5 (c) 0.29 (d) -0.2 (e) 0.0858 (f) 0.8 f What is the smallest value in 0.7, -2/2591, -66, 3, -5? -66 Which is the third smallest value? (a) 0.377 (b) -115.3 (c) 2/5 (d) -5 (e) -0.5 e What is the fifth biggest value in 1/7, -2, 1/3943, -7, 2? -7 What is the biggest value in 4, -0.27, 1839/115, 1/2? 1839/115 What is the fourth smallest value in 1.7, -2/1211, -15, -5.1? 1.7 Which is the third biggest value? (a) 305/6 (b) 11/2 (c) 3.4 c What is the second biggest value in -3, -9, 3/4, -10.8204, 1/3? 1/3 Which is the second biggest value? (a) 4/5 (b) -33 (c) -0.5 (d) -13/75 (e) -4/3 d What is the fifth smallest value in 0.2, 6, 2, -2/9, 4587, 15, 4? 6 Which is the biggest value? (a) 3.5 (b) -3 (c) -1 (d) -11.1 (e) 3/8 (f) 3/5 a Which is the seventh biggest value? (a) -13 (b) -2/3 (c) 4/1173 (d) -0.5 (e) 2 (f) -1/9 (g) 2/9 a What is the second smallest value in 1, 3/59, 0, 6/11, -0.2, 3, -164? -0.2 What is the biggest value in -4, -2, 59, 1889.5? 1889.5 What is the fifth biggest value in 31, 36/5, -2/11, -3/14, 2/15? -3/14 What is the fifth biggest value in 3696, 3, 1/6, -2, -24.98? -24.98 Which is the sixth smallest value? (a) -2 (b) 5 (c) 0.3 (d) 9 (e) 1256 (f) 0 (g) -1/7 d Which is the third biggest value? (a) -2/7 (b) -556 (c) 4/5 (d) -1 (e) 3/89 a Which is the fifth biggest value? (a) 1211.5 (b) -5 (c) 5 (d) -54 (e) 2/9 d Which is the second smallest value? (a) -57 (b) -157388 (c) -1 a What is the seventh biggest value in 0.1, -1, 4, -0.04, 1/165, -5, -4? -5 Which is the fourth biggest value? (a) 1/5 (b) 520 (c) 71 (d) 36/11 a What is the third biggest value in -3/2, 0.105, 4, -0.2, -102, -5, -4? -0.2 What is the fourth smallest value in 14, 1/10, 83, -24, 137, -1, 0? 1/10 What is the third smallest value in 1, 2/5, 0, -338666? 2/5 What is the third biggest value in 93, -3/7, -108, -2.8? -2.8 What is the second biggest value in -393.3, -6, 9, -1/3, 0.3, 2? 2 What is the third smallest value in -19/2, 756, -597? 756 What is the second smallest value in 0.33517, -3/137, 6? 0.33517 What is the second smallest value in 4/3, 1.7, -2796, -1010? -1010 What is the third biggest value in 0.3, 0.4, -364904, -5, -1, 1? 0.3 Which is the fourth smallest value? (a) 0 (b) -1/8 (c) 3 (d) -5 (e) -4757 a Which is the third biggest value? (a) -9/11 (b) 58 (c) -380 c Which is the fifth biggest value? (a) -21 (b) -3.1 (c) -5 (d) -2/13 (e) -3 a What is the third smallest value in 2/7, 1/10, 2, -0.4, -18, 0.13? 1/10 Which is the third biggest value? (a) -1/6 (b) 43671 (c) 4/5 a Which is the fourth smallest value? (a) -6 (b) -5/2 (c) -2 (d) 1/2579 (e) 24 d Which is the second biggest value? (a) 1221 (b) -2 (c) 285 (d) 5 c Which is the second biggest value? (a) 0.4 (b) 0.88352739 (c) -5 a What is the fourth smallest value in -2/3, 8, 5/4, 10/3, 3? 10/3 What is the fourth smallest value in -2, -0.3, 4/7, 728, -22? 4/7 What is the fifth smallest value in 22/7, -1/42, -46, -5/32, -1/5, 1? 1 What is the second biggest value in 7/2, 4381, -2, 17? 17 What is the third smallest value in -0.006, 36, 12, 11, 0, 17? 11 Which is the second biggest value? (a) 2864.8 (b) 0.11 (c) -20 b Which is the fifth biggest value? (a) 0.04 (b) 17 (c) 0.85 (d) -9 (e) 5 d What is the fifth smallest value in -0.2, 0.06, 5/3, -1/495, -0.3, -9, 58? 0.06 Which is the second smallest value? (a) 0.5 (b) 1/3 (c) 14 (d) -4 (e) -0.71 (f) -80 d What is the second biggest value in 5.8, -1, 3196, 30? 30 What is the third smallest value in 0.03, -2/17, 0.034, -1.4, -0.8? -2/17 What is the biggest value in -5, -341, -0.069128? -0.069128 Which is the second smallest value? (a) 0.29 (b) 2 (c) 2.1 (d) 7 (e) -1.8 (f) -3 e Which is the biggest value? (a) -4/18725 (b) -4/7 (c) 4 (d) 8 (e) 0 (f) -0.5 (g) -4 d What is the third smallest value in 0, -1336958/9, -2/15, -2? -2/15 What is the seventh biggest value in -0.346, 2/5, -8, -0.3, 3, 2/29, 2/7? -8 Which is the biggest value? (a) -3 (b) 3/7 (c) 103/248 b Which is the third biggest value? (a) -136 (b) -0.4 (c) -0.1 (d) 0.2 (e) -4.456 b Which is the fourth biggest value? (a) -0.3 (b) 3 (c) 146 (d) -1 (e) -10 (f) -2 (g) 1/359 a What is the fourth smallest value in 0.4, 3, 667, 2/11, -667? 3 Which is the fifth biggest value? (a) 1/2 (b) 5/6 (c) 4 (d) -2 (e) 64 (f) 2/9 (g) 200 a Which is the biggest value? (a) 2/7 (b) 3 (c) -4.23 (d) -9 (e) 1/5 b What is the fifth biggest value in 2/15, 0.3, -4/6849, 5, 0? -4/6849 Which is the second biggest value? (a) -59186 (b) 4 (c) -2/19 c Which is the fourth smallest value? (a) 0.28 (b) 19 (c) -3/8 (d) 6/7 (e) 3 e Which is the third smallest value? (a) -402 (b) -80 (c) 67 c What is the second biggest value in -1/4203, 1/9, 4, 0.812? 0.812 Which is the second smallest value? (a) 62 (b) 11/4 (c) -2/21 (d) -0.19 (e) 3/2 (f) 1/2 c Which is the biggest value? (a) 88/19 (b) -3 (c) 5 (d) 0.2 c Which is the second biggest value? (a) 1/2 (b) 0.3 (c) 1/95 (d) 0.2729 (e) -0.4 b What is the second smallest value in -49, 3, 10/4891, -0.1? -0.1 Which is the third smallest value? (a) 10 (b) -6 (c) 6/25 (d) -471 c What is the fifth smallest valu
{ "pile_set_name": "DM Mathematics" }
32 Let o = 2 - 4. Suppose p + 2*p + 9 = 0. Which is the third smallest value? (a) p (b) o (c) 0.1 c Let t = -0.47 + -0.03. Which is the third smallest value? (a) 0 (b) -5 (c) -10 (d) t d Let k = 2382/17 - 140. Which is the fourth smallest value? (a) k (b) 1 (c) -1/3 (d) 2/9 b Let b = -1314 - -1404. What is the biggest value in b, 5, -0.3? b Let n = 4182.2 - 4182. Let t = 0.06 - -0.07. Which is the third biggest value? (a) t (b) 1/3 (c) n a Let i = 424.93 - 425. Which is the second biggest value? (a) -0.1 (b) -2/9 (c) i (d) 3/2 c Let d = 2737/8 + -337. Let g = d + -229/40. Which is the second smallest value? (a) g (b) 3 (c) 0.3 c Let u be (2 - 44/24) + (-119)/306. Let t = 0 + -0.1. Let c = -0.09 + 0.59. What is the biggest value in u, c, t? c Let a(i) = -2*i**3 + 8*i**2 - 5*i + 18. Let m be a(4). Suppose 2*g = -u + 5*g + 2, 3*u = -g - 14. What is the fourth smallest value in m, u, 2/5, 2? 2 Let g = 0.7 + -0.3. Let p = -44 + 46.1. Let y = p + -2. Which is the smallest value? (a) -0.2 (b) y (c) g a Let l = -0.1442 + 0.0842. Which is the second biggest value? (a) 5/3 (b) l (c) -3 (d) 3 a Let u = -843.38 + 844. Which is the biggest value? (a) 2/3 (b) 1/5 (c) -5 (d) u a Suppose 0 = -7*a + 2*a - 35. Let j be ((-3)/(-5))/(2/(-5)). What is the smallest value in j, 2, a? a Suppose -107*i + 108*i = 3. What is the third smallest value in -1/5, 2/19, i, 6? i Let t = 0.5 + 9. Let p = t + -10. Which is the second biggest value? (a) -0.2 (b) -2 (c) p c Let z = 38.1 - 54.1. What is the smallest value in 0.5, z, 3, -1/2? z Let u(t) = -t**2 - 2*t + 4. Let d be u(0). Suppose 2*w - d*n = -w - 12, 2*w + 9 = 3*n. Which is the smallest value? (a) -3 (b) -4 (c) w b Suppose -4*j = 2*y + 4, 3*j + 29 = 2*y + 3*y. Suppose 20*n = 24*n + 16. Which is the second biggest value? (a) n (b) -3/11 (c) y b Let q = 86/153 - 4/9. What is the smallest value in q, -3, 1/7, 3? -3 Let d = -216/5 - -43. Which is the second smallest value? (a) d (b) 20 (c) 5 c Let p = -5.7 - 0.4. Let k = p - -5.6. Let s = 1 + -0.8. Which is the second biggest value? (a) 1/8 (b) k (c) s a Let z = 4.9286 + 0.0714. Which is the third biggest value? (a) 3 (b) -2/15 (c) 0.038 (d) z c Let o = 0.16 + -1.06. Let p = o - -0.4. Let t be ((-8)/10)/(-6 + 4). Which is the smallest value? (a) t (b) -1/4 (c) p c Let s(o) = -o**2 - o + 2. Let c be s(-3). Let t be (-2)/(-6) - (4 + c). Let y = -4 + 6. What is the third smallest value in t, y, 4? 4 Let i(t) = t - 15. Let m = 7 + -7. Suppose -13*j + 8*j + 50 = m. Let c be i(j). What is the third smallest value in -4/7, c, -4? -4/7 Let o = 440.18 - 432. Let y = 0.18 - o. Let j = y - -8.1. What is the third biggest value in j, -0.2, 0.2? -0.2 Let m = 74 + -47. Let s = m - 27.8. Let l = 0.9 + s. What is the second smallest value in -5, l, 1? l Let s = -0.094 + 8.094. Let o = s + -8. What is the second smallest value in o, 3, -0.2? o Let p = 169 - 105. Let n = -4363 - -22138/5. Let g = n - p. What is the second biggest value in g, 0.02, 0.4? 0.4 Let u = -4420 - -97265/22. Let n = u + 4/11. Which is the biggest value? (a) 1/2 (b) -1/6 (c) n (d) 2 d Suppose -5*s + 3*z = -2*z, 4*s + 4*z + 8 = 0. Let h be 24/20 - (5/25 + (-45)/(-25)). What is the fourth biggest value in -7, 3, h, s? -7 Let o be 1 - (-1 - 0)/1. Let x = 4 - o. Suppose -u + x = -2*u. What is the third smallest value in 2, u, 0.1? 2 Let g = 6 - 7. Suppose 0 = -2*f + 10, 6*l = 3*l + 5*f - 13. Which is the second smallest value? (a) l (b) g (c) -4 b Let s = -295.5 + 295. What is the biggest value in 3, -0.1, s, -5? 3 Let f = -2.3 + -0.7. Let k be 6/(-2)*2547/(-126). Let u = k - 121/2. Which is the biggest value? (a) u (b) f (c) 4 c Let y be (-1075)/(-375) - 2/(-15). Let z = -10 - -6. Which is the second biggest value? (a) y (b) 2 (c) z b Let z = -4933/4 + 1233. Let j = -619/4 - -154. What is the second smallest value in j, z, 0.4? z Let h = 762.97 + -763. Which is the biggest value? (a) -0.05 (b) -4 (c) h c Let c = -701/3 + 233. What is the second biggest value in 0.2, 2/11, c? 2/11 Let l = 0.5 - -8.5. Let v = -59 - -48. Let r = v + l. Which is the second biggest value? (a) 0 (b) 2/21 (c) r a Let w = -690 - -694. What is the biggest value in -3, w, -12? w Let f = -1 + 1.2. Let g = 0.2 - f. Suppose 204*i - 199*i = -20. Which is the smallest value? (a) g (b) i (c) 5 b Let v be 495/(-12) + -4 - 0. Let z = 45 + v. Let o = 6 - 6. What is the third smallest value in z, -0.1, o? o Let z = -1/1513 - -1515/3026. What is the third biggest value in -6, z, 21? -6 Let x = -269 + 1073/4. What is the third biggest value in -4/3, 2/3, x, -17? -4/3 Let y = 84.3 + -88. Let c = 4 + y. Let m = -0.1 + c. What is the smallest value in m, -2/21, -2? -2 Let j(b) = -b**3 - 2*b**2 + 11*b + 9. Let h be j(3). Let y = 1 + 0. Let a be (-4)/2 + (-2)/y. What is the third biggest value in 0, a, h? a Let x = -3/34 + 10/17. Which is the second biggest value? (a) -3 (b) 2 (c) x c Let k = -775 - -774.5. Which is the fourth smallest value? (a) k (b) 4 (c) -1.6 (d) -1 b Let u be (-7 - 32/(-4))/(2 + -14). Which is the smallest value? (a) u (b) 8 (c) 0.3 (d) -0.3 d Let t be (-1)/5*(186 - 191). What is the second biggest value in 2/15, 1.9, t? t Let j = -2.29 - 0.26. Let n = -2.5 - j. Which is the second smallest value? (a) 0.3 (b) 2/5 (c) n a Let l = -8 - -9. Let w = -0.7 + l. Let m be 4/(-14) + (-63)/(-49). Which is the second biggest value? (a) m (b) w (c) 0.4 c Let w = -2575 + 2572. Which is the third smallest value? (a) 2 (b) w (c) 0.02 a Let l be 6/(-21) - 76/(-168). Let d = 0.8 - -0.2. Which is the smallest value? (a) l (b) d (c) -0.09 c Let g = -6 - -8. Let j(s) = s**g - 2*s**2 + 0 - 1 - 2*s. Let f be j(-1). Which is the third biggest value? (a) 3/2 (b) -2 (c) f b Let v = 0.363 - 0.163. Which is the third biggest value? (a) 9 (b) -0.1 (c) v (d) -4 b Let l be (6/(-26))/(147/(-98)). Which is the second biggest value? (a) -2 (b) l (c) 0.5 (d) -50 b Let i = 2.1 + -2. Let r = 13.86 + -14. Let g = r + -0.16. Which is the second smallest value? (a) 10 (b) g (c) i c Let h = -0.05 + 5.05. Let s = 249 + -247. What is the second smallest value in h, -4, s? s Let v(x) = -5*x - 33. Let y be v(-3). Let q be ((-2)/y*-3)/(-1). Which is the second smallest value? (a) 3/4 (b) q (c) 2/15 (d) 0.05 c Let j = -11/23 + -163/92. Let s = 23/12 + j. Which is the third biggest value? (a) -1.2 (b) 2 (c) s a Let p = 9.82 + -11.12. What is the biggest value in 6, p, -3, -4? 6 Let j = -0.487 + 0.457. What is the third smallest value in -0.35, 0.5, j? 0.5 Let h = -3.9363 + -0.0637. Which is the biggest value? (a) 1 (b) -3 (c) h (d) 2 d Let m(o) = o**3 + 2*o**2 - 7*o - 1. Let p be m(4). Let j = p - 269/4. Which is the biggest value? (a) 4 (b) 1 (c) 2/3 (d) j a Let t = -264/35 + 50/7. Let o = -1 + 6. Which is the biggest value? (a) t (b) o (c) 2/13 b Suppose 3*i - i = 2*g + 20, 0 = 6*g + 18. What is the second smallest value in -1, -3, 0.07, i? -1 Let r be (-5)/(-25)*5 - -4. Suppose -2*t + 0*t = -6. Suppose t = r*q - 2. Which is the smallest value? (a) 3/5 (b) q (c) -3 c Let w be -4 - (15 + 0)/(-5). Let f = -1 + 3. Let t be f - (2 - 4 - -6). Which is the smallest value? (a) t (b) 1 (c) w a Let m be (-4)/((-6 + 4)/2). Let c be (-20)/(-8) + 6/(-12). What is the second smallest value in c, -2/3, m? c Let r = -0.2 + 3.2. Let s = 3065 - 3065.5. Which is the third smallest value? (a) s (b) 0.4 (c) 2 (d) r c Let j = 0.476 + -1.476. What is the third smallest value in j, 11/4, 6/5? 11/4 Let w = -58 + 57.74. What is the third smallest value in w, 4, 2? 4 Let x = 1.7 - -1.3. Let o = 13 - 13. Let g = 0.09 + o. Which is the third smallest value? (a) -4 (b) x (c) g b Let o be (22/594)/(8/(-48)). Let w be (-1 + -2)*2/4. Which is the second biggest value? (a) w (b) 0.3 (c) 0.06 (d) o c Let n = -4 - -10. Let h be -1 + 45/12 + -2. Let j = -11.7 + 11.2. Which is the second biggest value? (a) j (b) n (c) h c Let h(k) = -14*k + 1. Let m be h(-1). Let i be (-2)/10 - (-9)/m. Let v = -100 - -98. Which is the biggest value? (a) v (b) i (c) -0.4 b Let r = -6 + 6.3. Let u = 0.7 + r. Let m = -31/3 + 11. What is the smallest value in -4, m, u? -4 Let u = 110
{ "pile_set_name": "DM Mathematics" }
2/41)/((z*z**(-3/13))/z))/(z**8*z**(3/10)) assuming z is positive. z**(-43269/5330) Simplify (c/((c/((c*c**42)/c)*c)/c)*c**(-5))**39 assuming c is positive. c**1443 Simplify g**(-13)*g/(g/g**7)*g*g**(-4/13)/(g*g/(g**(1/15)*g)) assuming g is positive. g**(-1217/195) Simplify (o/(o*o/(o/(((o**(2/53)*o)/o)/o)))*o**(-41))**(-45) assuming o is positive. o**(95490/53) Simplify (((c/c**(-1)*c)**(27/5))**(1/72))**9 assuming c is positive. c**(81/40) Simplify ((z*(z/z**(-1/2))/z*(z*z**(4/7))/z)**(-18))**(-30) assuming z is positive. z**(7830/7) Simplify j**(-15)/j**(1/3)*(j**4/j)**50 assuming j is positive. j**(404/3) Simplify ((n**(2/9)/(((n/(n/n**2))/n)/n*n))**(3/8))**(-1/21) assuming n is positive. n**(1/72) Simplify ((n/(n**0*n))/(n/(n**(-1/17)*n)))/(n**(-7/5)*n*n**(3/7)) assuming n is positive. n**(-52/595) Simplify ((q**(-3)/q*q)/q*q/q**(-3/4)*(q/(q*q**3*q*q)*q)**44)**(-41) assuming q is positive. q**(29233/4) Simplify ((x*x/x**(-2/7))**(1/31)*(x/((x/x**0)/x))**13)**(-18) assuming x is positive. x**(-51066/217) Simplify (x**(-5)/(x*x*x**(4/21)))/(x**10/(x*x*x**(23/3)*x)) assuming x is positive. x**(-137/21) Simplify (b/(b/b**(-15))*b*(b**(6/17)/b)/b)/(b**6)**27 assuming b is positive. b**(-3020/17) Simplify ((a/(a*a**(-3/5))*a*a**(-1/4))**(-3))**(-29/3) assuming a is positive. a**(783/20) Simplify (i*i**(3/16)*i**20)/(i**(-2))**(-15) assuming i is positive. i**(-141/16) Simplify (a**(2/51)/((a/(((a/a**(-2/31))/a)/a))/a))/(a**(-4/5))**(2/9) assuming a is positive. a**(-17039/23715) Simplify (((((y*y**(1/22)*y)/y)/y)/y**(-1/34))**41)**(-2/15) assuming y is positive. y**(-1148/2805) Simplify x**12*x**(10/3)*x**(1/3)*x/((x*(x*x**6)/x*x)/x)*x assuming x is positive. x**(32/3) Simplify (a/a**(1/4))**(6/7)/((a*a**3*a)/a**(-3/17)) assuming a is positive. a**(-1079/238) Simplify ((c**(-18)*c*c*c**(1/4)*c)**(-11/5))**(-13) assuming c is positive. c**(-8437/20) Simplify ((m*m*m*m**(1/3)*m)**(-2/65)*(m*m/m**(-3)*m)**19)**(21/8) assuming m is positive. m**(2989/10) Simplify (x*x/((x/(x*(x*x**(2/7)*x)/x*x))/x))**(-21)*x**(9/4)/x**2 assuming x is positive. x**(-443/4) Simplify w*w**(2/21)*w*w*w**(-1/3)*w**(-4)*w**(2/25) assuming w is positive. w**(-608/525) Simplify (z/z**12*z**(-8))**(1/38) assuming z is positive. 1/sqrt(z) Simplify (((c/((c*c**(-2/9))/c))**(-48))**(2/45))**(1/9) assuming c is positive. c**(-352/1215) Simplify (o**(-1/10))**12/((o/((o*o*o*o*o**(-1/4)*o*o)/o*o))/((o/(o/(o*o**(-12))))/o)) assuming o is positive. o**(-169/20) Simplify q**1*q**(7/5)*q*q*q*(q*q*q*q**(-4))**39 assuming q is positive. q**(-168/5) Simplify (f**5/f**(-2))/(f/(((f/(f/f**(2/75)))/f)/f)*f*f**(-1/2)/f*f*f) assuming f is positive. f**(379/150) Simplify ((x**5)**(-17))**(27/2) assuming x is positive. x**(-2295/2) Simplify (((r**(-11)*r)/r)/(r*(r*r*r/r**(2/19)*r)/r))/(r**(-8/5))**(26/3) assuming r is positive. r**(-293/285) Simplify (a**1/a**(-2))/(a**3/a)**(-2/23) assuming a is positive. a**(73/23) Simplify (x*x*x**(-12))/x**(9/7)*(x**(-8)*x*x)**(-36) assuming x is positive. x**(1433/7) Simplify (v**(-3)/v)**(-39)/(v**7/(v/(((v/(v*v**(-9)))/v)/v*v))) assuming v is positive. v**142 Simplify m*m**(-1/4)*m*m*m*m**(-2)*(m/m**(-7))/(m/(m**(16/7)*m)*m) assuming m is positive. m**(309/28) Simplify (((c/(c**(-6)/c))/c*c*(c*c**4)/c)/(c**(-2/3))**(-4/11))**(-6/5) assuming c is positive. c**(-776/55) Simplify ((((v*v**(-10/9))/v*v)/v)/v**(-1/2))**(-1/3) assuming v is positive. v**(11/54) Simplify (t**(-2/23))**(9/7)*t**(-1/4)/(t/t**(-7)) assuming t is positive. t**(-5385/644) Simplify (i**(-17)*i*i**(4/17)/i)**1 assuming i is positive. i**(-285/17) Simplify ((l*l**(1/2)*l)/(l*l**10))/(l/((l**(-5/4)/l)/l))**(11/4) assuming l is positive. l**(-323/16) Simplify ((m/(m*m*m**3*m))/m)**(-15)*(m*m**11)/(m/(m**(-2/15)*m)*m) assuming m is positive. m**(1513/15) Simplify ((r**(2/5)/r)/r*r*r*r/r**9)/(r**(-8/5)*r**(2/5)/r) assuming r is positive. r**(-27/5) Simplify ((j/((j*j*j**(-2))/j))/j)**(-32)/(j**(-6/13)*(j/(j*j*j**1*j))/j) assuming j is positive. j**(-358/13) Simplify (r*r**(-1/3))/r**(-1/11)*((r/(r*r*r**(-1/3)*r))/r)/r*r**(2/29) assuming r is positive. r**(-906/319) Simplify (c**(3/8)/(c*(c**11*c)/c))/((c/c**15*c)/(c**4/c)) assuming c is positive. c**(35/8) Simplify ((d**(5/2)*d*d/((d/d**5)/d))/((d**(-7)*d)/d*d**(-4/5)*d))**(-5/9) assuming d is positive. d**(-163/18) Simplify (s**(12/5)/(s/s**(-31)))/(s**(-9)/s*s)**(2/11) assuming s is positive. s**(-1538/55) Simplify (j*j*j**(-10)*j*j*j**(2/19)/j)/(j/(j/(j/(j*((j*j**(-7/2))/j)/j)))*j**(-3/2)) assuming j is positive. j**(-188/19) Simplify (p**(-4/11)*p*p*p/p**(-2/31))/(p*p**(-2/15)/p)**43 assuming p is positive. p**(43141/5115) Simplify ((x**(-17)*x*x)/x**9)/(x**(-2/15)/(x**11/x)) assuming x is positive. x**(-208/15) Simplify (b**6)**(-42/11)/(b*b**15/b*b**(14/3)) assuming b is positive. b**(-1405/33) Simplify (((((w**(-2/17)/w*w)/w)/w)/w**(-1))/(w*w*w**(-2)*w)**(2/5))**0 assuming w is positive. 1 Simplify ((p**10/p**(-1/3))**(-19))**(-33/2) assuming p is positive. p**(6479/2) Simplify (l/(l/l**(1/2)))**(-3)*(l*l**(-10)*l)/(l*l**(2/29)*l) assuming l is positive. l**(-671/58) Simplify (k**(-5)*k)**(-2/13)/(k**2)**(1/39) assuming k is positive. k**(22/39) Simplify m**(-2)*m*m**20*(m**(4/25))**(-39) assuming m is positive. m**(319/25) Simplify (v**(2/3)/(v*v*v**2*v)*v/v**(2/5)*v*v*v/(v*v**(-1)*v*v*v)*v)**7 assuming v is positive. v**(-287/15) Simplify (b**0/b)/b**(-1/20)*(b**(-1/7)*b)/b**(1/8) assuming b is positive. b**(-61/280) Simplify (v**(-8)*(v*(v**(-1)*v)/v*v)/v)/(v**18*v)**(-4) assuming v is positive. v**68 Simplify ((((i*i/(i/i**(-2/15)))/i)/i**5)/(i/((i**5/i)/i)*i*i**(-1/11)/i))**(-15) assuming i is positive. i**(502/11) Simplify (((s*s**(3/4))/s)/(((s*s*s**(-8)/s)/s)/s)*(s*(s*s/(s**2*s))/s*s*s)**32)**(7/6) assuming s is positive. s**(1169/24) Simplify ((y**(-2/7)*y*y*y/(y*(y**(-3/2)*y)/y))**(-11))**(-2/17) assuming y is positive. y**(495/119) Simplify (g*g*g**4)**(3/41)/(g/(g/(g/g**(-3/10))))**(2/65) assuming g is positive. g**(409/1025) Simplify (c**(1/9)/c*c**(-2/3)*c/((c/(c/(c/((c**(-7)*c)/c))*c))/c*c*c)*c*c*(c*c**(-1)*c)/c*c)**14 assuming c is positive. c**(-700/9) Simplify (((z*z*z/((z**(-6)*z*z)/z))/(z*z**(1/2)))/((z/z**6)/(z*z**(-2/19))))**(-5/17) assuming z is positive. z**(-2355/646) Simplify (((n*n/(n*n**14)*n)/n*n/(n*n*n/(n*n**(26/5)/n)))**5)**6 assuming n is positive. n**(-294) Simplify y**(-20)*y**(-13)*(y**(4/5))**(-2/31) assuming y is positive. y**(-5123/155) Simplify ((t*t*t**(11/4)*t)/(t**(-1/24)/t))/(t**15/t*t**19) assuming t is positive. t**(-629/24) Simplify (v*v**(2/9))**(2/95)*(v**17/v)/v*v/(v/v**(3/7)) assuming v is positive. v**(92494/5985) Simplify (y**(3/20)/y**14)/(y*y**(1/6)*y*y/(y*(y/y**(-5))/y)) assuming y is positive. y**(-661/60) Simplify ((c**(-2/5))**14*c**(-5/4)*c*c**7)**(2/29) assuming c is positive. c**(23/290) Simplify ((b*(b*b*b**(-2/11))/b)**(-2/33)/(b/b**(-1/3))**(-42))**30 assuming b is positive. b**(202880/121) Simplify (((c/(c/(c/(c**(-4/9)*c)*c))*c)/c**(-11/4))**(-9))**(-12/19) assuming c is positive. c**(561/19) Simplify ((g/((g/g**(6/5))/g))/g**(-1/9))/(g*g*g**(7/3)*g/(g/g**(-13))*g) assuming g is positive. g**(449/45) Simplify ((p*p/(p**(-3/5)*p)*p)/(((p*p**(-1)*p)/p)/p)*p**2/(p/((p*p/p**(-1))/p)))**(2/11) assuming p is positive. p**(6/5) Simplify (j**(-1/3)*(j*j/j**13)/j*j)**(-13) assuming j is positive. j**(442/3) Simplify ((y*y**(-23))/y)/y*y**3*y/(y*(y/(y/((y/(y**(-3/4)/y)*y)/y))*y)/y)*y**(2/61)*y assuming y is positive. y**(-5543/244) Simplify (u**(6/5)/u**(-10/9)*u**(5/4)/(u*u**(2/17)))**(-42) assuming u is positive. u**(-52339/510) Simplify u/(u*u**19/u)*u/(u*u**(-1/22))*u**(1/14)/(u**(10/9)*u) assuming u is positive. u**(-13856/693) Simplify d**(-7)/d**(-1/2)*(d*(d/(d*d*d*d**(-2/9)*d*d))/d)/(d*d**2) assuming d is positive. d**(-239/18) Simplify (a*a/(((a/a**10)/a)/a*a)*a)**25*a**(-8)/(a*a**(-17)) assuming a is positive. a**333 Simplify l/(l/l**(-19))*l**(-4/3)*l*(l/l**(-5))**34 assuming l is positive. l**(554/3) Simplify (o*(o*o**(2/3))/o*(o/o**(2/5))/o*o**(1/5)/o**(1/6))**40 assuming o is positive. o**52 Simplify ((w**(-1/4))**(-9/4)*(w/(w**(-2/9)/w*w))**20)**(14/3) assuming w is positive. w**(25207/216) Simplify (m/m**(1/4)*m)/((m**4/m)/m)*m**(2/3)*m*m**(3/17) assuming
{ "pile_set_name": "DM Mathematics" }
digit of 35983? 8 What is the hundred thousands digit of 7127289? 1 What is the units digit of 248442? 2 What is the millions digit of 1114007? 1 What is the hundred thousands digit of 343539? 3 What is the millions digit of 5474115? 5 What is the ten thousands digit of 15016627? 1 What is the millions digit of 2982995? 2 What is the thousands digit of 18603022? 3 What is the ten thousands digit of 665344? 6 What is the thousands digit of 52593? 2 What is the hundreds digit of 85868? 8 What is the hundred thousands digit of 14657741? 6 What is the tens digit of 2186715? 1 What is the units digit of 5374053? 3 What is the ten thousands digit of 183446? 8 What is the thousands digit of 635889? 5 What is the thousands digit of 4564356? 4 What is the hundreds digit of 3159267? 2 What is the thousands digit of 23597624? 7 What is the tens digit of 126109? 0 What is the hundred thousands digit of 3284836? 2 What is the thousands digit of 5502603? 2 What is the ten thousands digit of 682662? 8 What is the thousands digit of 100882? 0 What is the thousands digit of 4704420? 4 What is the hundred thousands digit of 2355696? 3 What is the thousands digit of 412131? 2 What is the thousands digit of 145218? 5 What is the thousands digit of 2297815? 7 What is the hundred thousands digit of 4865967? 8 What is the hundred thousands digit of 307808? 3 What is the hundreds digit of 573222? 2 What is the hundreds digit of 8464346? 3 What is the millions digit of 2799448? 2 What is the thousands digit of 2113355? 3 What is the hundreds digit of 3358927? 9 What is the hundred thousands digit of 8714768? 7 What is the hundreds digit of 211319? 3 What is the hundreds digit of 542013? 0 What is the hundreds digit of 1686442? 4 What is the units digit of 5785998? 8 What is the hundred thousands digit of 3774253? 7 What is the millions digit of 7179339? 7 What is the units digit of 5404624? 4 What is the millions digit of 3611915? 3 What is the hundreds digit of 251452? 4 What is the hundred thousands digit of 1718666? 7 What is the hundred thousands digit of 766952? 7 What is the ten thousands digit of 927522? 2 What is the hundreds digit of 170812? 8 What is the millions digit of 6425038? 6 What is the ten millions digit of 12105993? 1 What is the tens digit of 5856335? 3 What is the thousands digit of 3693060? 3 What is the hundreds digit of 5579566? 5 What is the tens digit of 550177? 7 What is the hundred thousands digit of 288078? 2 What is the hundreds digit of 17902721? 7 What is the tens digit of 3103848? 4 What is the millions digit of 2218243? 2 What is the hundred thousands digit of 1983840? 9 What is the ten thousands digit of 257049? 5 What is the hundred thousands digit of 9703236? 7 What is the ten thousands digit of 4849268? 4 What is the ten thousands digit of 118682? 1 What is the units digit of 87048? 8 What is the tens digit of 144092? 9 What is the tens digit of 1263438? 3 What is the millions digit of 1880408? 1 What is the tens digit of 1125561? 6 What is the ten thousands digit of 442912? 4 What is the hundreds digit of 6856541? 5 What is the thousands digit of 393212? 3 What is the ten millions digit of 19409163? 1 What is the thousands digit of 6273869? 3 What is the thousands digit of 391039? 1 What is the units digit of 112783? 3 What is the hundred thousands digit of 4420272? 4 What is the ten thousands digit of 15175225? 7 What is the millions digit of 1839319? 1 What is the ten thousands digit of 109725? 0 What is the hundreds digit of 21999017? 0 What is the millions digit of 1363508? 1 What is the hundreds digit of 9897090? 0 What is the hundred thousands digit of 257899? 2 What is the millions digit of 3061356? 3 What is the millions digit of 8428866? 8 What is the units digit of 4773542? 2 What is the units digit of 1041054? 4 What is the hundred thousands digit of 910409? 9 What is the hundred thousands digit of 5995434? 9 What is the units digit of 2676535? 5 What is the units digit of 609172? 2 What is the ten thousands digit of 525093? 2 What is the hundreds digit of 55696? 6 What is the thousands digit of 36170? 6 What is the thousands digit of 215027? 5 What is the thousands digit of 222009? 2 What is the thousands digit of 6742? 6 What is the millions digit of 2461987? 2 What is the tens digit of 75145? 4 What is the hundred thousands digit of 297689? 2 What is the units digit of 96379? 9 What is the thousands digit of 990052? 0 What is the thousands digit of 43056? 3 What is the ten thousands digit of 595311? 9 What is the hundreds digit of 3355826? 8 What is the tens digit of 4356013? 1 What is the tens digit of 1440766? 6 What is the hundreds digit of 2927771? 7 What is the ten thousands digit of 23694336? 9 What is the thousands digit of 54091? 4 What is the hundreds digit of 516766? 7 What is the ten thousands digit of 115910? 1 What is the hundreds digit of 102736? 7 What is the units digit of 60207? 7 What is the tens digit of 237874? 7 What is the ten thousands digit of 26966766? 6 What is the hundreds digit of 1790508? 5 What is the units digit of 14171? 1 What is the units digit of 15592549? 9 What is the hundred thousands digit of 2513597? 5 What is the ten thousands digit of 2342935? 4 What is the millions digit of 1073009? 1 What is the tens digit of 1052249? 4 What is the millions digit of 7268953? 7 What is the hundreds digit of 142707? 7 What is the units digit of 324701? 1 What is the millions digit of 4362314? 4 What is the hundred thousands digit of 137229? 1 What is the hundreds digit of 95567? 5 What is the hundreds digit of 5190892? 8 What is the units digit of 6921684? 4 What is the units digit of 10100521? 1 What is the ten thousands digit of 121813? 2 What is the hundreds digit of 15959401? 4 What is the millions digit of 2078282? 2 What is the ten thousands digit of 125178? 2 What is the hundred thousands digit of 230809? 2 What is the tens digit of 498102? 0 What is the units digit of 1080263? 3 What is the hundreds digit of 814080? 0 What is the hundred thousands digit of 1687798? 6 What is the tens digit of 308045? 4 What is the units digit of 1098779? 9 What is the hundred thousands digit of 2576556? 5 What is the units digit of 9333666? 6 What is the hundreds digit of 1603340? 3 What is the hundred thousands digit of 1239347? 2 What is the tens digit of 312469? 6 What is the tens digit of 9471039? 3 What is the thousands digit of 1496460? 6 What is the millions digit of 30962721? 0 What is the tens digit of 195382? 8 What is the thousands digit of 98524? 8 What is the hundred thousands digit of 8530722? 5 What is the tens digit of 1374864? 6 What is the units digit of 120180? 0 What is the hundred thousands digit of 2139430? 1 What is the units digit of 283000? 0 What is the thousands digit of 2107126? 7 What is the ten thousands digit of 855282? 5 What is the ten thousands digit of 28609819? 0 What is the hundreds digit of 8971998? 9 What is the thousands digit of 112622? 2 What is the units digit of 2612725? 5 What is the tens digit of 2587723? 2 What is the ten thousands digit of 13770419? 7 What is the units digit of 343275? 5 What is the tens digit of 5698294? 9 What is the ten thousands digit of 291336? 9 What is the thousands digit of 748556? 8 What is the units digit of 7936? 6 What is the hundred thousands digit of 200556? 2 What is the millions digit of 20625533? 0 What is the hundreds digit of 1891381? 3 What is the thousands digit of 25080194? 0 What is the tens digit of 4092415? 1 What is the tens digit of 1906902? 0 What is the millions digit of 24767416? 4 What is the hundreds digit of 67253? 2 What is the hundreds digit of 104451? 4 What is the thousands digit of 3889260? 9 What is the millions digit of 7901114? 7 What is the units digit of 1268031? 1 What is the hundred thousands digit of 2315520? 3 What is the millions digit of 11777144? 1 What is the ten millions digit of 17780907? 1 What is the ten thousands digit of 99152? 9 What is the units digit of 334961? 1 What is the units digit of 95463? 3 What is the thousands digit of 1447670? 7 What is the hundreds digit of 4341665? 6 What is the ten millions digit of 20831220? 2 What is the hundreds digit of 1638151? 1 What
{ "pile_set_name": "DM Mathematics" }
1 (c) 124/11 (d) 1.2 d What is the third biggest value in 383, 1/9, -5.2, 702, 0.1? 1/9 What is the third smallest value in -2/7, 3/7, -2413, -3/5, -25? -3/5 Which is the sixth smallest value? (a) -5/2 (b) 0.4 (c) -2231/4 (d) -0.4 (e) 0.026 (f) 19 f Which is the second biggest value? (a) 2 (b) -645 (c) -0.1056 (d) 2/21 (e) 2/11 e What is the third biggest value in 5/4, 29/300, 0.5? 29/300 What is the second smallest value in 15401248, -0.17, 4? 4 What is the fourth biggest value in 5, -2/13, -2, 0.1, -8.74? -2 Which is the second smallest value? (a) 1.44 (b) 839 (c) -1.7 (d) 1 (e) -2/7 e Which is the second smallest value? (a) 7/53 (b) -6 (c) 5 (d) 789 (e) 0.2 a Which is the sixth smallest value? (a) -3 (b) -4 (c) -3928 (d) -134 (e) -0.2 (f) 0.1 (g) 3/5 f What is the second smallest value in 445, -136, -5/21? -5/21 Which is the biggest value? (a) -2/25 (b) -2/1335 (c) -3.35 b What is the sixth biggest value in 2, -1/30, -4/5, 5, -1/5, -2/3, 33/4? -2/3 Which is the second smallest value? (a) 1/4 (b) 1/7 (c) -2/5 (d) -0.1 (e) -169 c Which is the biggest value? (a) 0.3 (b) 1 (c) -732 (d) 0 (e) 29.12 e Which is the biggest value? (a) 20/3 (b) -1/4 (c) 5 (d) 2.2 (e) -3 (f) -2/25 (g) -2/9 a Which is the sixth biggest value? (a) 3 (b) 2 (c) -0.18 (d) -8 (e) 5 (f) 97 d What is the second smallest value in 1, -2/13, -0.5, 0.5, 3, -2523, 25? -0.5 Which is the third biggest value? (a) -422693 (b) 2 (c) 9 (d) -1/3 (e) -4 d Which is the smallest value? (a) 2/69 (b) -8/1797 (c) 0.67 b What is the second smallest value in -1/4, 5, -32, -1, -4, 12574, -2/5? -4 Which is the biggest value? (a) -1 (b) 3 (c) -13.5 (d) -1/6 (e) 49.749 e Which is the sixth smallest value? (a) -2/9 (b) -2 (c) -13 (d) 4/5 (e) 0.2943 (f) 0.077 d Which is the second biggest value? (a) 37 (b) 3/7 (c) -0.3 (d) 23063/6 a Which is the second biggest value? (a) 2 (b) -12 (c) -118 (d) 1950 (e) -1/2 a Which is the fifth smallest value? (a) 0.14 (b) -0.84 (c) -5 (d) -15 (e) -8/9 a Which is the third biggest value? (a) -1 (b) 575 (c) 2/21 (d) 0 (e) -0.56 (f) 4 c What is the biggest value in 151, -0.1, 1.31? 151 What is the biggest value in -239, -4/5, -57, 4, -3? 4 Which is the second biggest value? (a) -68291 (b) -2 (c) -1/2261 b Which is the biggest value? (a) 0.1 (b) -4/5 (c) -1 (d) -0.138 (e) 2/25 (f) 5 f Which is the fifth biggest value? (a) 1 (b) -0.0368 (c) -1 (d) -2/7 (e) 1/63 c Which is the third biggest value? (a) 801 (b) -73 (c) 2 (d) 20 (e) -5 c Which is the sixth smallest value? (a) 0.5 (b) 1 (c) 0.1 (d) -9/5 (e) -1255 (f) 0 (g) -3 a What is the seventh smallest value in 106, -0.3, 2, 0, -1107, -0.2, -4? 106 Which is the fifth biggest value? (a) 0.3 (b) 1.761 (c) -2 (d) 4 (e) 4/3 c What is the smallest value in 191/2, -2, 691, -3, -0.5, -2/11, 2/15? -3 What is the biggest value in -27925, -1/4, 0.0546? 0.0546 What is the second smallest value in -268, -0.59, -12, -1/170? -12 Which is the third smallest value? (a) -1/3 (b) -6 (c) 2/1539 (d) 636 c What is the biggest value in -1/10, -2, -857169? -1/10 Which is the second smallest value? (a) 33/5 (b) 27047 (c) 2/3 a Which is the smallest value? (a) -1/3 (b) 7/5 (c) -46 (d) -1 (e) -0.1 (f) 2/5 (g) -21 c What is the third smallest value in -1, -5, 2.0612? 2.0612 What is the smallest value in 10/19, -2/63, -8.8, 6/7? -8.8 Which is the second smallest value? (a) 2/49 (b) -4 (c) 2/19 (d) -90833 b Which is the biggest value? (a) -2 (b) -1 (c) -4 (d) -354 (e) -0.052 e Which is the fourth biggest value? (a) -0.3 (b) 0 (c) -449 (d) -14/59 c Which is the biggest value? (a) -2 (b) -0.37 (c) -116603 b What is the fourth biggest value in -0.07, -0.12, -2/23, 1/5, -5/6, 19? -2/23 What is the third biggest value in 4/3, -4029, -2, -0.1? -2 Which is the third biggest value? (a) 18 (b) 1 (c) -1/3 (d) -10701/44 (e) 0 e Which is the fourth smallest value? (a) -6 (b) -5 (c) -15/4 (d) -92 (e) 0.4 (f) -1/5 c Which is the sixth smallest value? (a) 1/306 (b) -33 (c) -2/23 (d) 5 (e) -0.5 (f) -0.09 (g) -0.2 a Which is the fifth smallest value? (a) 35 (b) 0.4 (c) -2/11 (d) -4 (e) 26678 e Which is the smallest value? (a) 1/865 (b) 140 (c) -60/13 (d) -2 c What is the sixth smallest value in 0, 0.4, 79, -14, -0.4, 0.2, 1/66? 0.4 Which is the fourth biggest value? (a) -0.08 (b) -31 (c) -36 (d) -12 c Which is the second biggest value? (a) 6/7 (b) 0.674643 (c) -82 b Which is the second biggest value? (a) 16/7 (b) 25 (c) 4 (d) -1.2 (e) -2/29 (f) 9 f Which is the fifth biggest value? (a) 0 (b) -18.3586 (c) -5 (d) 5 (e) 0.4 (f) -25/2 (g) 0.3 c What is the third smallest value in 6, -4, -2/9, -139, 0.5, 72? -2/9 Which is the smallest value? (a) 1 (b) 374 (c) -1/2 (d) 16 (e) -8 (f) 2 e Which is the second biggest value? (a) -4702 (b) -1/2 (c) -4 (d) 1/4 (e) 1028 d What is the fifth biggest value in -0.5, -14/27, 0, -0.2, -0.09066? -14/27 Which is the smallest value? (a) 5 (b) -6/5 (c) -224 (d) 0.3 (e) 190 (f) -0.4 c Which is the smallest value? (a) 2.2 (b) -7 (c) -369342 c What is the smallest value in -1/7, -7/223, 1/6, 0.47, -1/8? -1/7 Which is the second biggest value? (a) 123/4 (b) 0.15 (c) 5 c Which is the smallest value? (a) -1/16 (b) -2 (c) -4.05 (d) -4/9 (e) 0 (f) -0.21 (g) 1/5 c What is the fourth smallest value in -2/9, -3/2, -4.3, 4, -2.52, -185? -3/2 Which is the smallest value? (a) 0.69 (b) -0.1 (c) 0.4 (d) 8/4291 b Which is the second biggest value? (a) -1357/2 (b) -0.5 (c) -729 a What is the second smallest value in 1, -26, 384, -0.02? -0.02 Which is the smallest value? (a) -4 (b) 12870/17 (c) -315 c Which is the fourth smallest value? (a) 1.8 (b) 6 (c) 5 (d) 0.3 (e) 271/3 (f) 4/11 c What is the fourth biggest value in -2/5, -66, -4, 15253? -66 What is the sixth biggest value in -0.2, 0.3, 1, -0.5, 0.05, 336, -0.06? -0.2 What is the fourth smallest value in -5, -6, 495, -242, -4.7? -4.7 What is the second smallest value in 2/13, -320, -104/3, 3, -0.4? -104/3 What is the sixth biggest value in -1/7, -1903, 1/6, -5, 2, -8, -0.7? -8 Which is the fourth biggest value? (a) -2/3 (b) -3/7 (c) -0.246 (d) 16 (e) -0.07 (f) 2 (g) 0.17 e What is the third biggest value in -5575, 2888, -7? -5575 What is the second biggest value in 18, -5, 0.97494? 0.97494 Which is the second biggest value? (a) 15/37 (b) 7 (c) -0.04 (d) -2/5 a What is the second smallest value in -43/2, -10225, -90? -90 What is the third biggest value in 5, 22, -935, -3, -0.4, -131? -0.4 What is the biggest value in -1, -781217, -2? -1 What is the biggest value in 1.226, 2/7, -2/19, -0.3, -69? 1.226 What is the smallest value in -220, -1, 3, -3, 0.0501, -2? -220 Which is the second biggest value? (a) -3/7 (b) -1.59 (c) -126 (d) 1/7 (e) 2 d Which is the fifth biggest value? (a) 4 (b) -1 (c) -0.1 (d) 7 (e) -0.03 (f) 3956 c Which is the fourth smallest value? (a) 2/53 (b) -391 (c) 3 (d) 1/2 (e) 84 c Which is the third biggest value? (a) 4 (b) 1683121 (c) -6/25 c Which is the third smallest value? (a) -7 (b) 550625 (c) 1.07 (d) 3 d What is the biggest value in 1, -1439, -152, 2, 0.3? 2 What is the second smallest value in -33, -144611, 4/3, -1? -33 What is the third biggest value in -1/8, 577, 0.2, -0.3, 59, -5? 0.2 Which is the third biggest value? (a) 0.13 (b) 4 (c) -3644/337 c What is the fifth smallest value in -1/7, -0.5, -2, 3/2, -0.319, -1.06, 10.6? -1/7 What is the second biggest value in -1/4, -4/5, 0, -8, 3, -5, 4? 3 What is the smallest value in 5, -1, -2/3, -11, 12, -0.01, 0.9? -11 What is the second smallest value in -2/163, 4/7, -755, -5, 96? -5 What is the smallest value in 111, 44, -1/421, -1, 0.4? -1 Which is the third biggest value? (a) 2 (b) -3222 (c) 188 (d) 3/7 d What is the second biggest value in 58, 8, -220839? 8 Which is the smallest value? (a) -0.1 (b) -45 (c) -50591 (d) 0.2 c What is the fifth biggest value in 0.5, -0.5, 5, -518/11, -55, 3, 0? -0.5 Which is the third smallest value? (a) 1.5 (b) 47 (c) -6136 b What is the fourth biggest value in -2, 1/3, 28, -0.007988? -2 Which is the t
{ "pile_set_name": "DM Mathematics" }
term in -1025, -4125, -9293, -16529, -25833, -37205, -50645? -66153 What comes next: 7747, 7747, 7749, 7753? 7759 What is the next term in 3447, 6840, 10233, 13626, 17019, 20412? 23805 What is next in 165, 637, 1411, 2487, 3865, 5545? 7527 What is next in 97619, 195237, 292855, 390473? 488091 What is the next term in 41079, 82159, 123233, 164301, 205363? 246419 What is the next term in -42975, -42973, -42971? -42969 What is next in 2253, 4554, 6901, 9294? 11733 What is next in 239, 359, 461, 545, 611, 659, 689? 701 What is the next term in -109, -246, -403, -586, -801, -1054, -1351? -1698 What is next in 16512, 33023, 49534? 66045 What comes next: 717684, 717686, 717688? 717690 What is next in 86096, 172190, 258284, 344378, 430472, 516566? 602660 What is next in 3097, 12386, 27867, 49540, 77405? 111462 What is the next term in 789, 1692, 2617, 3576, 4581, 5644, 6777, 7992? 9301 What comes next: -281908, -281913, -281918, -281923, -281928, -281933? -281938 What is next in 302619, 605240, 907861, 1210482, 1513103? 1815724 What comes next: -681, -679, -661, -621, -553, -451, -309? -121 What is next in 2981, 3236, 3491, 3746? 4001 What is the next term in 2278, 2248, 2216, 2182? 2146 What is the next term in -206, -842, -1904, -3392, -5306? -7646 What is the next term in -256885, -256874, -256863, -256852? -256841 What comes next: 2814, 2832, 2850, 2868, 2886? 2904 What comes next: 184243, 184239, 184235, 184231, 184227, 184223? 184219 What is next in 25162, 50325, 75488, 100651, 125814? 150977 What is next in -321, -240, -161, -84? -9 What is the next term in -2108, -1644, -1180, -716, -252? 212 What comes next: -210, -404, -564, -684, -758, -780, -744, -644? -474 What comes next: -2285, -2323, -2363, -2405, -2449, -2495, -2543? -2593 What is next in 27029, 108139, 243325, 432587, 675925? 973339 What comes next: 9015, 17974, 26919, 35844, 44743, 53610? 62439 What comes next: -38943, -38945, -38947, -38949, -38951? -38953 What comes next: 2719, 5441, 8169, 10909, 13667, 16449, 19261, 22109? 24999 What is next in 3967, 3883, 3657, 3217, 2491, 1407, -107? -2123 What comes next: 2923, 5825, 8715, 11587, 14435, 17253, 20035, 22775? 25467 What comes next: 794, 1665, 2614, 3641, 4746? 5929 What is next in -1078, -1193, -1374, -1615, -1910, -2253, -2638? -3059 What comes next: 108, 295, 680, 1365, 2452, 4043, 6240, 9145? 12860 What is the next term in 668, 2489, 5518, 9749, 15176, 21793? 29594 What comes next: -518, -387, -256, -125, 6? 137 What is next in 308, -412, -1610, -3286, -5440, -8072? -11182 What comes next: 9480, 18976, 28508, 38094, 47752, 57500, 67356? 77338 What comes next: -74, -70, -26, 88, 302, 646, 1150? 1844 What comes next: 180108, 180110, 180112, 180114, 180116? 180118 What is next in -209, -445, -705, -989, -1297, -1629, -1985? -2365 What comes next: 257, 135, 13, -109, -231, -353? -475 What is next in 11293, 11659, 12025, 12391, 12757, 13123? 13489 What is next in 2176, 4300, 6424, 8548, 10672? 12796 What is the next term in 13, 40, 123, 292, 577, 1008? 1615 What comes next: -21946, -21955, -21966, -21979, -21994? -22011 What comes next: -13341, -26634, -39927? -53220 What is the next term in -674, -1357, -2054, -2771, -3514, -4289, -5102, -5959? -6866 What comes next: 104, 141, 134, 83? -12 What is next in 6940, 6704, 6468? 6232 What is next in -3022, -12062, -27136, -48250, -75410, -108622, -147892, -193226? -244630 What comes next: -16059, -32108, -48157, -64206, -80255? -96304 What is next in 237098, 237096, 237094, 237092, 237090, 237088? 237086 What is next in 19739, 39458, 59179, 78902, 98627, 118354, 138083? 157814 What is next in 37764, 75529, 113294, 151059? 188824 What is next in 47, 173, 389, 707, 1139, 1697, 2393, 3239? 4247 What is next in -206, -1856, -6398, -15278, -29942? -51836 What comes next: 1574, 1108, 644, 182? -278 What is the next term in 2734, 5448, 8162, 10876, 13590, 16304? 19018 What is the next term in -18, -209, -548, -1029, -1646, -2393? -3264 What is next in 284, 897, 1918, 3347? 5184 What comes next: -2445, -5720, -8995, -12270, -15545, -18820? -22095 What is the next term in 13860, 13888, 13942, 14034, 14176, 14380, 14658, 15022? 15484 What comes next: 467096, 1868392, 4203884, 7473572? 11677456 What is the next term in -2037, -4112, -6197, -8292, -10397, -12512? -14637 What is next in -382, -3118, -10588, -25174, -49258, -85222? -135448 What is the next term in -6368, -5753, -5138? -4523 What is next in 3773, 3782, 3795, 3806, 3809? 3798 What is next in 352, 653, 950, 1243, 1532, 1817, 2098? 2375 What is the next term in -218, -492, -766, -1040? -1314 What is next in -796192, -796182, -796158, -796114, -796044, -795942? -795802 What is next in 82, 490, 1588, 3718, 7222? 12442 What comes next: 1058236, 1058237, 1058238, 1058239? 1058240 What comes next: 425, 3475, 11767, 27923, 54565? 94315 What comes next: 16, 145, 274? 403 What is next in -335, -1247, -2779, -4937, -7727, -11155, -15227, -19949? -25327 What is next in 168, 1233, 4144, 9825, 19200? 33193 What comes next: 6215, 6155, 6055, 5915, 5735, 5515? 5255 What is next in 88, 278, 616, 1108, 1760, 2578, 3568, 4736? 6088 What comes next: 835896, 835902, 835918, 835950, 836004, 836086, 836202? 836358 What is next in -475986, -475979, -475970, -475959, -475946? -475931 What is next in -380, -283, -122, 103, 392, 745? 1162 What is next in -556, -648, -894, -1372, -2160, -3336? -4978 What comes next: -1444, -1462, -1490, -1528, -1576, -1634, -1702? -1780 What comes next: 2317, 2263, 2173, 2047? 1885 What is next in 238, 68, -102? -272 What is the next term in 2412, 19266, 65006, 154074, 300912, 519962, 825666? 1232466 What comes next: -2289, -4536, -6783, -9030, -11277? -13524 What comes next: 2680, 2774, 2868, 2962, 3056, 3150? 3244 What is the next term in 31650, 63355, 95068, 126795, 158542, 190315, 222120, 253963? 285850 What comes next: -1244, -2346, -3448, -4550? -5652 What is the next term in 407, 1691, 3929, 7199, 11579, 17147? 23981 What comes next: -468993, -468991, -468989? -468987 What is next in 30, 173, 382, 693, 1142, 1765? 2598 What is the next term in 180373, 180374, 180375, 180376? 180377 What is the next term in -4151, -16819, -37931, -67487? -105487 What is the next term in 77, 380, 895, 1628, 2585, 3772, 5195, 6860? 8773 What is next in -892, -1543, -1960, -2149, -2116? -1867 What is the next term in 693, 2251, 4853, 8499, 13189, 18923? 25701 What comes next: -294665, -294666, -294667, -294668, -294669, -294670? -294671 What is the next term in -800, -1365, -1926, -2483? -3036 What comes next: -85582, -85574, -85554, -85516, -85454? -85362 What is the next term in -12550, -12552, -12554? -12556 What is the next term in 276, 297, 324, 351, 372, 381, 372? 339 What is the next term in 100, 179, 252, 319, 380? 435 What is next in 2102, 2063, 2024, 1985, 1946? 1907 What is the next term in -1050593, -1050591, -1050589? -1050587 What is next in -4275, -17103, -38481, -68409? -106887 What comes next: 1581, 3160, 4739? 6318 What is the next term in 983, 707, 431, 155, -121, -397? -673 What is next in 13946, 13975, 14014, 14057, 14098, 14131, 14150? 14149 What is the next term in 3059, 3061, 3065, 3071, 3079, 3089? 3101 What is next in 1815, 1615, 1417, 1221? 1027 What comes next: 4678, 9149, 13634, 18139, 22670? 27233 What comes next: -216, -460, -766, -1164, -1684, -2356, -3210? -4276 What comes next: 126035, 252058, 378081, 504104, 630127? 756150 What is next in 15237, 15069, 14899, 14727, 14553, 14377, 14199? 14019 What comes next: 11530, 23061, 34592, 46123, 57654, 69185? 80716 What is the next term in -3731, -7380, -11029, -14678? -18327 What is the next term in -102, -812, -2748, -6528, -12770, -22092, -35112, -52448? -74718 What is next in -1246, -4637, -10250, -18079, -28118, -40361, -54802? -71435 What comes next: -163888, -163884, -163880? -163876 What comes next: -1340, -2770, -4202, -5636, -7072, -8510? -9950 What comes next: 29, 179, 467, 911, 1529, 2339, 3359, 4607? 6101 What comes next: 288, 116, -56, -228, -400, -572? -744 What comes next: 2117, 2127, 2145, 2171, 2205, 2247, 2297? 2355 What comes next: -1513, -1634, -1959, -2590, -3629? -5178 What comes next: 975, 1772, 2565, 3354, 4139? 4920 What comes next: 13
{ "pile_set_name": "DM Mathematics" }
1 is divided by 62? 23 What is the remainder when 594 is divided by 23? 19 What is the remainder when 728 is divided by 68? 48 What is the remainder when 34 is divided by 7? 6 What is the remainder when 91 is divided by 23? 22 What is the remainder when 1915 is divided by 160? 155 Calculate the remainder when 687 is divided by 138. 135 What is the remainder when 268 is divided by 10? 8 What is the remainder when 149 is divided by 65? 19 What is the remainder when 95 is divided by 20? 15 Calculate the remainder when 524 is divided by 105. 104 Calculate the remainder when 492 is divided by 8. 4 What is the remainder when 2571 is divided by 22? 19 What is the remainder when 236 is divided by 83? 70 What is the remainder when 659 is divided by 15? 14 Calculate the remainder when 169 is divided by 72. 25 What is the remainder when 1019 is divided by 14? 11 Calculate the remainder when 759 is divided by 6. 3 What is the remainder when 1246 is divided by 24? 22 What is the remainder when 318 is divided by 3? 0 What is the remainder when 79 is divided by 8? 7 Calculate the remainder when 59 is divided by 43. 16 What is the remainder when 973 is divided by 32? 13 What is the remainder when 765 is divided by 48? 45 Calculate the remainder when 232 is divided by 30. 22 What is the remainder when 1903 is divided by 471? 19 Calculate the remainder when 1061 is divided by 14. 11 Calculate the remainder when 2899 is divided by 964. 7 Calculate the remainder when 13519 is divided by 13. 12 Calculate the remainder when 864 is divided by 146. 134 Calculate the remainder when 501 is divided by 8. 5 What is the remainder when 6249 is divided by 125? 124 What is the remainder when 2048 is divided by 114? 110 Calculate the remainder when 159 is divided by 116. 43 What is the remainder when 303 is divided by 11? 6 Calculate the remainder when 98 is divided by 74. 24 Calculate the remainder when 519 is divided by 87. 84 What is the remainder when 119 is divided by 63? 56 Calculate the remainder when 328 is divided by 193. 135 What is the remainder when 163 is divided by 11? 9 Calculate the remainder when 555 is divided by 6. 3 What is the remainder when 496 is divided by 63? 55 What is the remainder when 58 is divided by 2? 0 Calculate the remainder when 2626 is divided by 12. 10 Calculate the remainder when 317 is divided by 7. 2 Calculate the remainder when 1006 is divided by 48. 46 What is the remainder when 228 is divided by 18? 12 Calculate the remainder when 65 is divided by 54. 11 Calculate the remainder when 267 is divided by 211. 56 Calculate the remainder when 628 is divided by 17. 16 What is the remainder when 42 is divided by 31? 11 What is the remainder when 330 is divided by 1? 0 Calculate the remainder when 739 is divided by 182. 11 What is the remainder when 589 is divided by 7? 1 What is the remainder when 3373 is divided by 25? 23 Calculate the remainder when 1052 is divided by 13. 12 What is the remainder when 251 is divided by 84? 83 Calculate the remainder when 270 is divided by 64. 14 Calculate the remainder when 1138 is divided by 85. 33 What is the remainder when 110 is divided by 24? 14 What is the remainder when 305 is divided by 296? 9 Calculate the remainder when 1562 is divided by 18. 14 What is the remainder when 313 is divided by 292? 21 Calculate the remainder when 233 is divided by 79. 75 What is the remainder when 643 is divided by 23? 22 Calculate the remainder when 1428 is divided by 1428. 0 Calculate the remainder when 2133 is divided by 2. 1 What is the remainder when 32740 is divided by 321? 319 What is the remainder when 242 is divided by 3? 2 Calculate the remainder when 193 is divided by 62. 7 Calculate the remainder when 191 is divided by 50. 41 Calculate the remainder when 426 is divided by 101. 22 What is the remainder when 278 is divided by 47? 43 What is the remainder when 2109 is divided by 151? 146 Calculate the remainder when 442 is divided by 7. 1 What is the remainder when 225 is divided by 57? 54 Calculate the remainder when 28844 is divided by 12. 8 Calculate the remainder when 430 is divided by 66. 34 What is the remainder when 18 is divided by 15? 3 What is the remainder when 70 is divided by 45? 25 Calculate the remainder when 127 is divided by 36. 19 Calculate the remainder when 11 is divided by 4. 3 Calculate the remainder when 49 is divided by 10. 9 What is the remainder when 193 is divided by 39? 37 What is the remainder when 1339 is divided by 51? 13 What is the remainder when 111 is divided by 34? 9 Calculate the remainder when 183 is divided by 47. 42 Calculate the remainder when 881 is divided by 289. 14 Calculate the remainder when 21597 is divided by 15. 12 What is the remainder when 40 is divided by 2? 0 Calculate the remainder when 277 is divided by 4. 1 What is the remainder when 1979 is divided by 10? 9 Calculate the remainder when 818 is divided by 20. 18 Calculate the remainder when 355 is divided by 171. 13 What is the remainder when 7 is divided by 3? 1 What is the remainder when 474 is divided by 154? 12 Calculate the remainder when 685 is divided by 341. 3 Calculate the remainder when 890 is divided by 23. 16 Calculate the remainder when 238 is divided by 61. 55 Calculate the remainder when 215 is divided by 12. 11 What is the remainder when 208 is divided by 98? 12 What is the remainder when 20081 is divided by 6? 5 Calculate the remainder when 46 is divided by 11. 2 Calculate the remainder when 1570 is divided by 195. 10 Calculate the remainder when 181 is divided by 46. 43 Calculate the remainder when 239 is divided by 89. 61 Calculate the remainder when 123 is divided by 18. 15 Calculate the remainder when 205 is divided by 23. 21 Calculate the remainder when 573 is divided by 24. 21 What is the remainder when 703 is divided by 171? 19 Calculate the remainder when 1547 is divided by 4. 3 Calculate the remainder when 84 is divided by 20. 4 What is the remainder when 120 is divided by 20? 0 What is the remainder when 478 is divided by 125? 103 Calculate the remainder when 745 is divided by 203. 136 What is the remainder when 1991 is divided by 19? 15 Calculate the remainder when 161 is divided by 95. 66 Calculate the remainder when 343 is divided by 23. 21 What is the remainder when 153 is divided by 83? 70 What is the remainder when 1531 is divided by 64? 59 Calculate the remainder when 139 is divided by 70. 69 Calculate the remainder when 53 is divided by 18. 17 What is the remainder when 345 is divided by 172? 1 Calculate the remainder when 17322 is divided by 315. 312 What is the remainder when 3900 is divided by 1296? 12 Calculate the remainder when 53 is divided by 19. 15 What is the remainder when 139 is divided by 7? 6 Calculate the remainder when 190 is divided by 94. 2 Calculate the remainder when 987 is divided by 15. 12 Calculate the remainder when 209 is divided by 24. 17 What is the remainder when 2148 is divided by 127? 116 What is the remainder when 10126 is divided by 247? 246 What is the remainder when 352 is divided by 98? 58 What is the remainder when 124 is divided by 97? 27 Calculate the remainder when 743 is divided by 124. 123 What is the remainder when 159 is divided by 80? 79 What is the remainder when 176 is divided by 36? 32 What is the remainder when 44 is divided by 30? 14 Calculate the remainder when 174 is divided by 83. 8 What is the remainder when 54 is divided by 11? 10 Calculate the remainder when 4831 is divided by 58. 17 Calculate the remainder when 281 is divided by 76. 53 What is the remainder when 94 is divided by 24? 22 What is the remainder when 3022 is divided by 121? 118 Calculate the remainder when 7849 is divided by 157. 156 Calculate the remainder when 218 is divided by 20. 18 Calculate the remainder when 2620 is divided by 23. 21 What is the remainder when 11983 is divided by 112? 111 Calculate the remainder when 1243 is divided by 43. 39 What is the remainder when 1596 is divided by 41? 38 Calculate the remainder when 303 is divided by 51. 48 Calculate the remainder when 5082 is divided by 1692. 6 Calculate the remainder when 18704 is divided by 29. 28 Calculate the remainder when 24286 is divided by 88. 86 What is the remainder when 1
{ "pile_set_name": "DM Mathematics" }
ositive. j**(-11) Simplify q**(5/12)*q**(-28/5)/q assuming q is positive. q**(-371/60) Simplify (d/(d/(((d/d**(-1)*d)/d)/d)))**(-3/7) assuming d is positive. d**(-3/7) Simplify (v/(v/v**(-8)))/(v*v**(-29)*v*v) assuming v is positive. v**18 Simplify (y*y*y**(-10/11)*y*y)/y**(-26) assuming y is positive. y**(320/11) Simplify (z*(z**(-2/5)*z)/z)**(-16/7)/((z*z**(-1/5))/z**3) assuming z is positive. z**(29/35) Simplify ((r**0*r)**(-2/39))**(-2/63) assuming r is positive. r**(4/2457) Simplify u/(((u**(-7)/u)/u)/u)*(u/(u*u**(-1))*u)/u*(u/((u/(u/(u**(-1)/u*u)))/u*u))**(1/44) assuming u is positive. u**(265/22) Simplify (c/(c/((c*c**(-1/7)*c)/c)))/c**(-2/19) assuming c is positive. c**(128/133) Simplify (q**(-18)*q)/q**25 assuming q is positive. q**(-42) Simplify (h*(h/h**(2/7))/h)**(-5)*h**(-9)*h**6/h assuming h is positive. h**(-53/7) Simplify (p/((p/p**(1/4)*p)/p*p)*p)**(-4/7)*(p*p**(-1))**(-6) assuming p is positive. p**(-1/7) Simplify ((a**(-1))**(9/2))**(-43) assuming a is positive. a**(387/2) Simplify w/(w*w**(1/5))*w*w**(-8)*(w**(-2/7))**(-13/7) assuming w is positive. w**(-1634/245) Simplify d**(-19)/(d*d**(-14)) assuming d is positive. d**(-6) Simplify (((l**0*l*l)/l)**(-4/5))**(-30) assuming l is positive. l**24 Simplify (a/a**(-1/2))**(-18/11)*(a**(-1/4))**(2/31) assuming a is positive. a**(-1685/682) Simplify (s*(s*s/(((s*(s/((s*s**(-1/3))/s))/s*s)/s*s)/s))/s)/s*s**(2/3)*((s/s**(-2/3))/s*s)/(s/(s*s**2*s)) assuming s is positive. s**5 Simplify (b**4/(b/(b*b**(2/17)/b)))**9 assuming b is positive. b**(477/17) Simplify (b**(-3)/b**(2/7))**(-50) assuming b is positive. b**(1150/7) Simplify (u/(u*(u*u/(u**8/u*u))/u))/(u/(u*u/u**4)) assuming u is positive. u**4 Simplify ((g/(g*g**(-3)))**20)**17 assuming g is positive. g**1020 Simplify ((p*p*p*p**(-2/11)/p*p)**(4/15))**(-1/50) assuming p is positive. p**(-62/4125) Simplify (x/x**(1/4)*x*x**(-4/5))**(-1/11) assuming x is positive. x**(-19/220) Simplify u**(13/4)/(u*u/(u**(-12/7)/u)*u) assuming u is positive. u**(-69/28) Simplify (g**7/(((g**(2/13)*g*g)/g)/g))/(g**(-3/4)/g**1) assuming g is positive. g**(447/52) Simplify b**(-1/17)/b*b**(-2/15)/b assuming b is positive. b**(-559/255) Simplify ((l*l**4*l)/l)**(-47) assuming l is positive. l**(-235) Simplify (l**(-2)*l)**(2/57)*(l*l**(1/3))**(-3/4) assuming l is positive. l**(-59/57) Simplify k**(1/11)/(k/(k**0/k*k))*((k/(k*k**1*k*k))/k)**(-2/55) assuming k is positive. k**(-42/55) Simplify (w/(w*w*w*w**(1/3)*w)*w)/w*w*(w**(-2/33)*w)/w*(w/w**1)**50 assuming w is positive. w**(-79/33) Simplify ((u*u**0/u)/u**(-7/2))**(20/9) assuming u is positive. u**(70/9) Simplify ((n**(5/2)/n)/(n/(n*(n/n**(-1))/n)))**(-22) assuming n is positive. n**(-55) Simplify m**(-5/2)*m*m*m**(-2)/m*m assuming m is positive. m**(-5/2) Simplify ((p/(p**(2/3)/p))/(p/(p*p**(-4))))**21 assuming p is positive. p**(-56) Simplify (x/x**(1/7)*x**(1/6))/(x*(x*x/x**(-1/2))/x*x)**(-13) assuming x is positive. x**(977/21) Simplify j**4*j/(j**(2/11)/j)*j*j*j**(1/4)*j**(2/3) assuming j is positive. j**(1153/132) Simplify (p*p**(2/13)/p*p**(3/19))**(-29) assuming p is positive. p**(-2233/247) Simplify (a/a**(-4)*a*a**(-5)/a*a)/(a*a**(2/3)*a)**(-8/5) assuming a is positive. a**(79/15) Simplify u**1*u**(-6)*u*u**(-1)*u*u**3*u assuming u is positive. 1 Simplify (w*w/(w**(-1/2)/w)*w*w*(w**10*w)/w*w)/(w**0*w)**47 assuming w is positive. w**(-61/2) Simplify (c**(3/29)*c)/c*c**(-12/11) assuming c is positive. c**(-315/319) Simplify (p*p**(-14)*p*p)/p*p**(-18) assuming p is positive. p**(-30) Simplify k*k**(4/3)*k*(k/k**15)/k assuming k is positive. k**(-35/3) Simplify d/(d*((d*d*d/((d/(d/(((d*d**(-2/19)*d)/d*d)/d)*d))/d)*d)/d)/d)*d*d**11 assuming d is positive. d**(169/19) Simplify k**7*k**5*(k**(1/4)/k)**5 assuming k is positive. k**(33/4) Simplify (s**(3/2))**(-2/55) assuming s is positive. s**(-3/55) Simplify x**(-31)*x/x**23 assuming x is positive. x**(-53) Simplify (t*(t/(t*t*t**(2/5)*t*t))/t*t/(t/t**3))/(t**0)**(1/55) assuming t is positive. t**(-2/5) Simplify (p**(-5/4))**26 assuming p is positive. p**(-65/2) Simplify (q**(1/9)*q**7*q)**(6/5) assuming q is positive. q**(146/15) Simplify (w/(w**(2/7)/w))**(3/8)/((w/w**(-1/8))/(w/w**(-2/3))) assuming w is positive. w**(199/168) Simplify (o**0/o*o)**41 assuming o is positive. 1 Simplify ((l*l**(3/5))/l)/(l/l**2*l)*(l**(2/7)*l)**(-5/7) assuming l is positive. l**(-78/245) Simplify g**6*g*g**3/g*g*(g/(g/(g/(g*g**(2/9))))*g)/g*g**(-2/5)/g assuming g is positive. g**(377/45) Simplify g*g**(2/11)*g**(1/10) assuming g is positive. g**(141/110) Simplify (b**(1/2))**(1/17)/((b*b**0*b)/b*b**5) assuming b is positive. b**(-203/34) Simplify (u**(1/7))**(-40) assuming u is positive. u**(-40/7) Simplify (v/(v*v*v*v**(-5)))/v**(-4) assuming v is positive. v**7 Simplify x/(x/((((x*(((x*x**(-9/7))/x)/x)/x*x)/x)/x*x*x)/x))*x**(-15/2)/x assuming x is positive. x**(-151/14) Simplify ((((b*b**6)/b)/b)**(2/109))**14 assuming b is positive. b**(140/109) Simplify (a/(a*a/(a/(a**(-3)/a*a))*a*a)*a)**(-49) assuming a is positive. a**(-98) Simplify ((w*w/(w/w**(6/5)*w))/((w/w**(-1/4))/w))**(3/5) assuming w is positive. w**(57/100) Simplify c**(5/7)*c**(2/7)*(c**2)**2 assuming c is positive. c**5 Simplify (l**(-10)/l**(1/13))**31 assuming l is positive. l**(-4061/13) Simplify j**(-9)/(j*j*j/(j*j/(j*j/j**(-37)*j))) assuming j is positive. j**(-50) Simplify b**18*b*b**(-9) assuming b is positive. b**10 Simplify (((p**(2/7)/p)/p)**(-17))**(8/15) assuming p is positive. p**(544/35) Simplify k**6*k**(-16)/k assuming k is positive. k**(-11) Simplify z**4*z**0*(z/z**2)/(z**(4/3)/z*z*z) assuming z is positive. z**(2/3) Simplify ((o/(o*o**(-1/2)))/o*o**(-5/4))**(6/11) assuming o is positive. o**(-21/22) Simplify (j*j**(-2/39)/j*j)**(-5/6) assuming j is positive. j**(-185/234) Simplify k**0*k*k*k*k/(k**0/k)*(k**0)**24 assuming k is positive. k**5 Simplify w**(-2/11)*w**16*w*w assuming w is positive. w**(196/11) Simplify (w**(-1/6)*(w/((w/(w/w**(-8/3)))/w)*w*w)/w)/(w**(1/2)/w)**(2/7) assuming w is positive. w**(79/14) Simplify u**(-5/3)/(u/u**(-8))*(u/(u/u**2*u))**(1/6) assuming u is positive. u**(-21/2) Simplify (k**(-1)/k)**28/(k**(-1)/k*k*k**(2/13)*k) assuming k is positive. k**(-730/13) Simplify (o**0*o)/o*(o*o**(4/17))/o*o assuming o is positive. o**(21/17) Simplify (c*c**1)**(-1/35)/((c**1*c)/c)**(-1/39) assuming c is positive. c**(-43/1365) Simplify (((q**0*q)/q*q)/q)**2 assuming q is positive. 1 Simplify ((x*x/(x*x**(-5))*x)/(x**6/x*x))**(2/81) assuming x is positive. x**(2/81) Simplify (((g**(-1)/g)/g)**(-14/11))**(-2/17) assuming g is positive. g**(-84/187) Simplify w*w**(4/5)/w*w**(4/9) assuming w is positive. w**(56/45) Simplify ((x/(x**(2/3)*x)*x)**(-2/151))**(-32) assuming x is positive. x**(64/453) Simplify o**(3/16)*((((o**(2/17)/o)/o)/o)/o)/o assuming o is positive. o**(-1277/272) Simplify (((k*k*k**(2/33)/k*k)/k*k)/k)**(-4/17) assuming k is positive. k**(-140/561) Simplify (p/(p/((p*p/(p/((p**(-2/3)*p)/p)))/p)))**(2/57)*p**(1/13)*p**(1/7) assuming p is positive. p**(3056/15561) Simplify (f/(f**(-2/5)*f))/((f*f**(16/7)*f)/f*f) assuming f is positive. f**(-136/35) Simplify m**(1/27)*m*((m*m**(-1/8))/m)/m*m assuming m is positive. m**(197/216) Simplify (h/(h/(h/h**(-6))))**(-3/2) assuming h is positive. h**(-21/2) Simplify u**(1/26)*u*u*u/(u/((u**16*u)/u)) assuming u is positive. u**(469/26) Simplify w**(3/11)*w**(-7/6) assuming w is positive. w**(-59/66) Simplify (f/f**(-10))**(-27) assuming f is positive. f**(-297) Simplify d**(-5/3)/(d*d**(-2/11)) assuming d is positive. d**(-82/33) Simplify ((a/(a**17/a))/a)/((a*a**(14/9)*a)/a*a) assuming a is positive. a**(-176/9) Simplify (x**(1/6))**43 assuming x is positive. x**(43/6) Simplify ((c*c**1/c)/c)**42*((c*c**(-1/3)*c*c)/c)**(1/3) assuming c is positive. c**(5/9) Simplify (t/(t/(t**(3/7)/t))*t)/(t*t/(t*(t/(t*t**10))/t)*t) assuming t is positive. t**(-88/7) Simplify ((r/(r/(r*r**7)*r))/r*r/r**12)**(3/20) assuming r is positive. r**(-3/4) Simplify (((r*r**(-2)/r)/r)**(22/9))**(-37/3) assuming r is positive. r**(814/9) Simplify (w**(3/5)/w**(-3))/(w*w**(-2/7))**(1/7) assuming w is positive. w**(857/245) Simplify (t*t*t/(t*t/(t**(-1/5)/t)*t)*t)**27 assuming t is positive. t**(-27/5) Simplify (((s/(s/(s*s**9)))/s)/
{ "pile_set_name": "DM Mathematics" }
26? 12 Calculate the remainder when 192 is divided by 4. 0 What is the remainder when 7589 is divided by 146? 143 Calculate the remainder when 688 is divided by 63. 58 Calculate the remainder when 24242 is divided by 209. 207 What is the remainder when 95 is divided by 23? 3 What is the remainder when 126 is divided by 13? 9 What is the remainder when 246 is divided by 33? 15 What is the remainder when 261 is divided by 24? 21 What is the remainder when 6658 is divided by 238? 232 What is the remainder when 3668 is divided by 216? 212 Calculate the remainder when 180 is divided by 87. 6 Calculate the remainder when 526 is divided by 88. 86 What is the remainder when 218 is divided by 115? 103 What is the remainder when 318 is divided by 11? 10 What is the remainder when 182 is divided by 116? 66 What is the remainder when 4073 is divided by 15? 8 What is the remainder when 4381 is divided by 51? 46 Calculate the remainder when 67 is divided by 19. 10 Calculate the remainder when 522 is divided by 77. 60 Calculate the remainder when 2243 is divided by 11. 10 What is the remainder when 1088 is divided by 27? 8 What is the remainder when 64 is divided by 13? 12 Calculate the remainder when 176 is divided by 38. 24 Calculate the remainder when 135 is divided by 14. 9 What is the remainder when 66 is divided by 29? 8 Calculate the remainder when 283 is divided by 52. 23 Calculate the remainder when 66 is divided by 30. 6 Calculate the remainder when 1278 is divided by 46. 36 What is the remainder when 6379 is divided by 2121? 16 Calculate the remainder when 130 is divided by 120. 10 What is the remainder when 172 is divided by 37? 24 Calculate the remainder when 159 is divided by 24. 15 Calculate the remainder when 180 is divided by 78. 24 Calculate the remainder when 193 is divided by 11. 6 What is the remainder when 206 is divided by 198? 8 What is the remainder when 318 is divided by 14? 10 What is the remainder when 53 is divided by 14? 11 Calculate the remainder when 56 is divided by 7. 0 Calculate the remainder when 235 is divided by 4. 3 Calculate the remainder when 14390 is divided by 117. 116 Calculate the remainder when 888 is divided by 293. 9 What is the remainder when 17016 is divided by 134? 132 Calculate the remainder when 69 is divided by 38. 31 Calculate the remainder when 2327 is divided by 137. 135 What is the remainder when 646 is divided by 8? 6 Calculate the remainder when 461 is divided by 77. 76 Calculate the remainder when 226 is divided by 114. 112 Calculate the remainder when 12949 is divided by 70. 69 What is the remainder when 806 is divided by 105? 71 Calculate the remainder when 298 is divided by 10. 8 Calculate the remainder when 105 is divided by 50. 5 What is the remainder when 2158 is divided by 45? 43 Calculate the remainder when 1509 is divided by 72. 69 What is the remainder when 307 is divided by 105? 97 Calculate the remainder when 62 is divided by 61. 1 Calculate the remainder when 918 is divided by 22. 16 What is the remainder when 299 is divided by 34? 27 Calculate the remainder when 75 is divided by 7. 5 Calculate the remainder when 319 is divided by 80. 79 Calculate the remainder when 740 is divided by 71. 30 What is the remainder when 133 is divided by 32? 5 What is the remainder when 107 is divided by 33? 8 What is the remainder when 57 is divided by 3? 0 Calculate the remainder when 294 is divided by 23. 18 What is the remainder when 397 is divided by 19? 17 Calculate the remainder when 855 is divided by 39. 36 Calculate the remainder when 248 is divided by 55. 28 Calculate the remainder when 78 is divided by 35. 8 Calculate the remainder when 549 is divided by 25. 24 Calculate the remainder when 149 is divided by 52. 45 Calculate the remainder when 130 is divided by 32. 2 What is the remainder when 154 is divided by 48? 10 What is the remainder when 192 is divided by 4? 0 What is the remainder when 39 is divided by 14? 11 What is the remainder when 40834 is divided by 332? 330 Calculate the remainder when 2036 is divided by 1001. 34 What is the remainder when 1379 is divided by 54? 29 Calculate the remainder when 1366 is divided by 10. 6 What is the remainder when 91 is divided by 36? 19 What is the remainder when 1807 is divided by 152? 135 What is the remainder when 621 is divided by 105? 96 What is the remainder when 24509 is divided by 19? 18 What is the remainder when 260 is divided by 84? 8 What is the remainder when 1925 is divided by 47? 45 Calculate the remainder when 83 is divided by 7. 6 Calculate the remainder when 1002 is divided by 63. 57 What is the remainder when 621 is divided by 89? 87 Calculate the remainder when 82 is divided by 30. 22 Calculate the remainder when 2037 is divided by 4. 1 What is the remainder when 235 is divided by 110? 15 Calculate the remainder when 52 is divided by 43. 9 What is the remainder when 387 is divided by 116? 39 What is the remainder when 366 is divided by 123? 120 What is the remainder when 28 is divided by 16? 12 What is the remainder when 1092 is divided by 535? 22 Calculate the remainder when 726 is divided by 48. 6 Calculate the remainder when 6 is divided by 5. 1 Calculate the remainder when 942 is divided by 86. 82 What is the remainder when 153 is divided by 84? 69 What is the remainder when 74 is divided by 15? 14 Calculate the remainder when 200 is divided by 101. 99 What is the remainder when 83 is divided by 26? 5 What is the remainder when 11608 is divided by 270? 268 What is the remainder when 2267 is divided by 71? 66 What is the remainder when 2669 is divided by 99? 95 What is the remainder when 422 is divided by 74? 52 What is the remainder when 78 is divided by 10? 8 Calculate the remainder when 30 is divided by 28. 2 What is the remainder when 16 is divided by 14? 2 Calculate the remainder when 128 is divided by 37. 17 What is the remainder when 116 is divided by 41? 34 What is the remainder when 320 is divided by 14? 12 What is the remainder when 1085 is divided by 34? 31 What is the remainder when 331 is divided by 115? 101 Calculate the remainder when 8590 is divided by 179. 177 What is the remainder when 140 is divided by 36? 32 What is the remainder when 101 is divided by 16? 5 What is the remainder when 272 is divided by 57? 44 What is the remainder when 9091 is divided by 28? 19 Calculate the remainder when 269 is divided by 5. 4 Calculate the remainder when 215 is divided by 196. 19 Calculate the remainder when 518 is divided by 52. 50 What is the remainder when 2655 is divided by 13? 3 What is the remainder when 429 is divided by 98? 37 Calculate the remainder when 560 is divided by 33. 32 Calculate the remainder when 3597 is divided by 4. 1 Calculate the remainder when 90 is divided by 3. 0 Calculate the remainder when 208 is divided by 46. 24 Calculate the remainder when 313 is divided by 28. 5 What is the remainder when 884 is divided by 51? 17 What is the remainder when 61 is divided by 28? 5 What is the remainder when 64 is divided by 13? 12 Calculate the remainder when 4320 is divided by 29. 28 What is the remainder when 36 is divided by 25? 11 What is the remainder when 254 is divided by 22? 12 Calculate the remainder when 572 is divided by 7. 5 What is the remainder when 191 is divided by 163? 28 What is the remainder when 2810 is divided by 112? 10 Calculate the remainder when 22397 is divided by 32. 29 Calculate the remainder when 955 is divided by 403. 149 Calculate the remainder when 132 is divided by 60. 12 Calculate the remainder when 84 is divided by 48. 36 Calculate the remainder when 155 is divided by 135. 20 What is the remainder when 137 is divided by 71? 66 Calculate the remainder when 117 is divided by 61. 56 What is the remainder when 82 is divided by 70? 12 What is the remainder when 160 is divided by 3? 1 Calculate the remainder when 1721 is divided by 286. 5 Calculate the remainder when 597 is divided by 15. 12 What is the remainder when 688 is divided by 27? 13 What is the remainder when 2433 is divided by 58? 55 What is the remainder when 386 is divided by 108? 62 Calculate the remainder when 311 is divided by 13. 12 Calculate the remainder when 1437 is divided by 359. 1 What is the remainde
{ "pile_set_name": "DM Mathematics" }
**3 + 0. Factor a(i). -2*i**2*(i - 1)**3/9 Let w(f) be the first derivative of -1/3*f**2 + 2/9*f**3 - 2 + 0*f. Factor w(n). 2*n*(n - 1)/3 Let w = -5 + 7. Factor 72*b - 27 - 157*b**w + 125*b**3 - 68*b**2 + 63*b. (5*b - 3)**3 Let g = -116 + 118. Let w(y) be the first derivative of 0*y**3 + 4 + 1/22*y**4 + 2/55*y**5 + 0*y**g + 0*y. Solve w(m) = 0 for m. -1, 0 Let h = -6 + 8. Let m be (-100)/36 + 1 + h. Factor -2/9*g**3 + 2/9 + m*g - 2/9*g**2. -2*(g - 1)*(g + 1)**2/9 Suppose -2*x - 5*x + x = 0. Let m(p) be the second derivative of 0*p**2 + 1/20*p**5 + 2*p + x + 1/6*p**4 + 1/6*p**3. Let m(q) = 0. What is q? -1, 0 Let o be (-10)/(-4) - (-5)/10. Let -h**2 + o*h**4 + 8*h**4 - 10*h**4 = 0. What is h? -1, 0, 1 Let x be ((-60)/(-14))/(9/42). Let s = -17 + x. Determine v so that -v - 1/3*v**s + 1/3 + v**2 = 0. 1 Let j = 0 + 33. Let p be (-1 - -4) + j/(-12). Solve -1/4*z - 1/4 + p*z**3 + 1/4*z**2 = 0 for z. -1, 1 Let i(d) be the second derivative of -d**5/5 - 2*d**4/3 + 2*d**3/3 + 4*d**2 + 6*d. Factor i(u). -4*(u - 1)*(u + 1)*(u + 2) Let c(r) be the second derivative of -1/3*r**4 + 0*r**2 + 1/3*r**3 - 4/5*r**5 + 0 + r. Suppose c(j) = 0. Calculate j. -1/2, 0, 1/4 Let g(x) = x**5 + x**4 - x**3 - 1. Let t(u) = -9*u**5 + 29*u**4 + 3*u**3 - 5. Let a(b) = 10*g(b) - 2*t(b). Find w, given that a(w) = 0. -2/7, 0, 2 Let b be 1 - 0 - 42/(-6). Suppose 2*o - 4 - b = 0. Let -o*l**2 - 10/3*l**3 - 2/3*l**4 - 4/3 - 14/3*l = 0. Calculate l. -2, -1 Suppose -5*h - k = k + 6, -10 = 2*h - 3*k. Let m = h + 4. Find z such that 4*z**2 - 3*z**4 + 3*z**5 - 3*z**3 + 3*z**2 - 4*z**m = 0. -1, 0, 1 Factor -8/9*q + 0 - 4/3*q**2. -4*q*(3*q + 2)/9 Let l(r) be the second derivative of r**6/180 - r**5/30 + r**4/18 + 13*r. Find a such that l(a) = 0. 0, 2 Let f(h) = 36*h**2 + 4*h + 16. Let j(b) = -7*b**2 - b - 3. Let q(s) = -3*f(s) - 16*j(s). Find v, given that q(v) = 0. -1, 0 Let c(l) be the second derivative of 0*l**3 - 3/50*l**5 + 0 - 1/105*l**7 + 0*l**2 + 1/25*l**6 + 1/30*l**4 + 4*l. Suppose c(q) = 0. Calculate q. 0, 1 Let v(m) be the first derivative of m**3 + 12*m**2 + 48*m - 39. Find l such that v(l) = 0. -4 Let k be -1 + (1 - 18/(-21)). Let t be 4/7*(-4)/(-8). Factor -t*r**3 + 0*r + 8/7 - k*r**2. -2*(r - 1)*(r + 2)**2/7 Suppose 0 = 5*j + 4 + 6. Let h = j + 2. Factor h*b**2 + 0 + 0*b**4 + 0*b - 8/7*b**5 + 2/7*b**3. -2*b**3*(2*b - 1)*(2*b + 1)/7 Let k = 41 + 5. Suppose 12 - 108*g + k*g**2 - 19*g**2 + 36*g**2 + 180*g**2 = 0. What is g? 2/9 Let a be 40/(-60)*3/(-10). Let v(k) be the second derivative of -1/15*k**3 + 2*k + 1/50*k**5 + 1/30*k**4 - a*k**2 + 0. Determine u so that v(u) = 0. -1, 1 Let s(o) be the third derivative of -o**5/240 - 5*o**4/16 - 75*o**3/8 + 2*o**2 + 5. What is y in s(y) = 0? -15 Let x be 320/(-15)*3/(-9). Factor -112*u**3 - 976/9*u**2 + 32/9 + x*u + 882*u**4. 2*(7*u - 2)**2*(9*u + 2)**2/9 Let y(b) be the third derivative of b**7/630 - b**6/120 + b**5/180 + b**4/24 - b**3/9 + 6*b**2. Find o, given that y(o) = 0. -1, 1, 2 Let z(f) = f**5 + f**4 + f**2 - f - 1. Let p(o) = -2*o**5 - 3*o**4 - o**2 + o + 1. Let b(k) = 5*p(k) + 5*z(k). Suppose b(v) = 0. Calculate v. -2, 0 Let o be (48/(-5))/(-4) - 8/4. Factor o - 4/5*j + 2/5*j**2. 2*(j - 1)**2/5 Let q(h) be the first derivative of h**3/5 + 3*h**2/10 - 2. Determine r, given that q(r) = 0. -1, 0 Let l be (-4)/((-708)/(-53)) + 1. Let s = l - 2/59. Factor 0 + 2/9*k**3 - s*k**2 + 4/9*k. 2*k*(k - 2)*(k - 1)/9 Let u(t) be the third derivative of 4*t**7/945 - t**5/90 - t**4/108 - 52*t**2. Factor u(a). 2*a*(a - 1)*(2*a + 1)**2/9 Factor 5*c**4 + 65*c**2 + 2*c**3 - 67*c**2 + 4*c**5 - 9*c**3. c**2*(c - 1)*(c + 2)*(4*c + 1) Let n = 1272 - 1270. Factor 0 + 9/4*l + 3/4*l**3 - 3*l**n. 3*l*(l - 3)*(l - 1)/4 Let q(z) = 7*z + 2. Let c be q(4). Suppose -r = -6*r + c. What is j in 0*j**3 + 6*j**3 + 2*j - r*j**2 + 0*j**2 - 2*j**4 = 0? 0, 1 Suppose -5*x = 3*h - 24 + 3, 1 = -h + x. Factor 12/5*o**3 + 9/5*o**4 + 0*o + 0 + 3/5*o**h. 3*o**2*(o + 1)*(3*o + 1)/5 Let z(s) be the first derivative of s**6/48 + 3*s**5/40 + 3*s**4/32 + s**3/24 - 24. What is b in z(b) = 0? -1, 0 Let j(u) be the first derivative of -3 + 1/15*u**6 + 0*u**4 - 4/25*u**5 + 0*u + 0*u**2 + 0*u**3. Factor j(b). 2*b**4*(b - 2)/5 Let u(c) = -10*c**3 - 3*c**2 - 2*c + 1. Let r be u(-2). Factor 6*n**2 - 10*n - r - 2*n**3 + 75 + 4*n. -2*(n - 1)**3 Let p = 8 - 8. Suppose p = 2*a - 5*a. Determine k, given that 1/4*k**3 + 0*k + 1/4*k**4 - 1/4*k**5 - 1/4*k**2 + a = 0. -1, 0, 1 What is i in -4*i - 2/9*i**2 - 18 = 0? -9 Let t(s) = 3*s**4 - 27*s**3 - 27*s**2 + 3*s - 9. Let r(x) = -x**4 + 13*x**3 + 13*x**2 - x + 4. Let q(d) = -9*r(d) - 4*t(d). Factor q(j). -3*j*(j + 1)**3 Let w(t) be the first derivative of 0*t**3 + 1/6*t**2 - 1/12*t**4 + 0*t - 3. Suppose w(a) = 0. What is a? -1, 0, 1 Let d(q) be the first derivative of -2*q**6/3 + 2*q**4 - 2*q**2 + 10. Factor d(r). -4*r*(r - 1)**2*(r + 1)**2 Let y = 15 + -13. Let l be 1/y - 13/(-6). Factor -2/3*w**3 + 0*w**2 - l*w**5 + 0 + 0*w - 10/3*w**4. -2*w**3*(w + 1)*(4*w + 1)/3 Let w(q) be the third derivative of -q**8/6720 + q**6/720 - q**4/96 + q**3/3 + q**2. Let z(x) be the first derivative of w(x). Factor z(y). -(y - 1)**2*(y + 1)**2/4 Let 0*b + 1/5*b**3 - 4/5 + 3/5*b**2 = 0. What is b? -2, 1 Let m(q) be the first derivative of 4/25*q**5 + 0*q + 0*q**4 + 0*q**3 + 1/3*q**6 + 5 + 0*q**2. Factor m(l). 2*l**4*(5*l + 2)/5 Let r(q) be the second derivative of 1/60*q**5 + 0*q**3 + 0 - q**2 + 1/12*q**4 + q. Let s(b) be the first derivative of r(b). Let s(x) = 0. What is x? -2, 0 Let n(c) be the second derivative of -c**5/90 + c**4/36 - c**2 + 4*c. Let q(l) be the first derivative of n(l). Solve q(k) = 0. 0, 1 Let q be ((-1)/(-3))/(7 - 6). Let y(j) be the third derivative of q*j**3 + 0*j - 1/4*j**4 + 1/10*j**5 - j**2 - 1/60*j**6 + 0. Factor y(k). -2*(k - 1)**3 Let u be 62/56 - 0 - (-39)/(-156). Find v, given that -2/7*v**3 + u*v**2 - 6/7*v + 2/7 = 0. 1 Let t(v) = 11*v - 85. Let m be t(8). Let i(r) be the first derivative of -1/18*r**m + 0*r - 3 + 0*r**2. Factor i(n). -n**2/6 Let u = 96 + -90. Let k(a) be the third derivative of 0*a**3 + 0 + 0*a + 0*a**4 + 0*a**5 - 4*a**2 + 1/300*a**u. Factor k(c). 2*c**3/5 Let q(y) be the second derivative of 0*y**3 - y + 1/110*y**5 + 0*y**4 + 0 + 0*y**2 - 1/165*y**6. Factor q(f). -2*f**3*(f - 1)/11 Let h = -28 + 31. Let p(s) be the second derivative of -1/10*s**2 + 1/30*s**h + 0 + 1/30*s**4 - s. Let p(n) = 0. What is n? -1, 1/2 Suppose -9 = -0*a - 3*a. Factor 2*v**2 - a*v + 4*v**3 + 3 - 5*v**2 - 4 - 5*v**3. -(v + 1)**3 Solve 8/11 + 0*a - 2/11*a**2 = 0. -2, 2 Let i(d) = 2*d**2 - d + 7. Let y(g) = -6*g + 4*g - 1 + 3*g + 0*g. Let u(b) = -i(b) - 5*y(b). Factor u(o). -2*(o + 1)**2 Let g(s) be the second derivative of s**4/12 - s**3/6 - s. Let p(o) = -2*o**2 + 10*o + 4. Let q be (-6)/3 - 1*2. Let f(l) = q*g(l) - p(l). Factor f(w). -2*(w + 1)*(w + 2) Let v(t) be the first derivative of t**4/4 - 4*t**3/3 + 5*t**2/2 - 2*t + 1. Factor v(u). (u - 2)*(u - 1)**2 Find h such that -32*h - 20 - 86*h**2 + 81*h**2 + 7*h = 0. -4, -1 Let b = -66 + 68. Factor -4/5*t**3 + 2/5*t**b + 0 + 0*t + 2/5*t**4. 2*t**2*(t - 1)**2/5 Let a(h) be the third derivative of h**7/525 + h**6/300 - h**5/50 - h**4/60 + 2*h**3/15 - 6*h**2. What is p in a(p) = 0? -2, -1, 1 Let q(x) be the third derivative of -x**6/1080 - x**5/180 + x**4/24 + x**3/6 + 5*x**2. Let n(t) be the first derivative of q(t). Find m such that n(m) = 0. -3, 1 Suppose -2*p = 4*c + 16, 2*p - 4*c - 29 = c. Let g(n) be the third derivative of -1/96*n**4 - p*n**2 + 0*n**3 - 1/240*n**5 + 0*n + 0. Solve g(q) = 0 for q. -1, 0 Let g = 533 - 531. Solve 0 + 0*r + r**g + 1/3*r**3 = 0. -3, 0 Let w(r) be the third derivative of -r**7/70 - r**6/40 + r**5/20 + r**4/8 - 5*r**2. Find v, given that w(v) = 0. -1, 0, 1 Let l(c) be the first derivative of 3*c**4 + 20*c**3/3 + 2*c**2 - 4*c + 4. Factor l(s). 4*(s + 1)**2*(3*s - 1) Suppose -15 = -5*u + 5*y, -13 + 36 = 3*u + 4*y. Suppose u*n = n. Factor -2/5 + n*f**3 + 4/5*f**2 - 2/5*f**4 + 0*f. -2*(f - 1)**2*(f + 1)**2/5 Solve 4/3*i - 2/9*i**2 - 2 = 0 for i. 3 Let r be (-11)/(-55) - 27/(-15). Factor 1/3*f**r + 2/3*f + 0. f*(f + 2)/3 Let r(k) be the second derivative of k**5/100 + k**4/30 + k**3/30 + 5*k. What is q in r(q) = 0? -1, 0 Let n(a) be the third derivative of
{ "pile_set_name": "DM Mathematics" }
*3 - 4*i**2 + 24*i. Calculate -5*b(p) + 24*f(p). 8*p**3 - 4*p**2 Let a(v) = 2*v**3 + 2*v**2 + 3*v + 1. Let y(l) be the second derivative of -l**5/5 - l**4/3 - 5*l**3/6 - l**2 + 2*l. Let n = 0 + -5. What is n*a(d) - 3*y(d)? 2*d**3 + 2*d**2 + 1 Let p(v) = -v**3 - 3. Let g = -23 + 26. Let r be g - 4 - (7 - 5). Let y(m) = -2. Suppose -4*a + 5 + 3 = 0. Give a*p(c) + r*y(c). -2*c**3 Let w(v) = 2*v**2 - 3*v - 4. Let a(c) = 3*c**2 - 5*c - 7. Calculate 4*a(y) - 7*w(y). -2*y**2 + y Let q(c) = -2*c + 4. Suppose -p - m = -3, 0 = 4*p - 0*p - 5*m - 21. Let h(d) = 0 - 2 - d - d + 5. Determine p*h(j) - 3*q(j). -2*j Let b(w) = -3*w + 1. Let y(n) = n**2 + 4*n - 4. Let j be y(-5). Let g be 10/2 + (-3)/j. Let f(t) = -t + 1. Give g*f(i) - b(i). i + 1 Let b(u) = -3*u + 5. Let v(c) = 4*c - 4. Calculate -4*b(r) - 5*v(r). -8*r Let z(j) = -3. Let h(k) be the third derivative of -1/6*k**3 + 0 + 0*k + 1/24*k**4 + 5*k**2. Calculate -3*h(b) + z(b). -3*b Let k(v) = 1 + 6*v + v - 12*v. Let n(y) = y - 1. What is k(b) + 2*n(b)? -3*b - 1 Let w(m) = -7*m**2 - 5*m + 28. Let q(x) = -15*x**2 - 11*x + 57. What is -6*q(z) + 13*w(z)? -z**2 + z + 22 Let h be 212/44 - 8/(-44). Let k(m) = 5*m**3 - 6*m**2. Let c(t) = -4*t**3 + 5*t**2. What is h*k(u) + 6*c(u)? u**3 Let c(s) = 3*s - 2*s**3 - 3*s**2 + 4*s**3 + 0*s - 4. Let i(j) be the first derivative of -j**4 + 5*j**3/3 - 5*j**2/2 + 7*j - 2. Determine -5*c(k) - 3*i(k). 2*k**3 - 1 Let q(u) = 4*u. Suppose 0 = t + 2*w + 2 - 9, -4*t + 20 = 4*w. Let y(j) = -t*j + j - 3*j + 4*j. Calculate -q(k) - 3*y(k). -k Let u(d) = 8*d**3 - 17*d**2 + 17*d - 14. Let k(j) = -3*j**3 + 6*j**2 - 6*j + 5. Suppose 0 = 4*o - 3*o, 0 = -g - 3*o - 6. What is g*u(n) - 17*k(n)? 3*n**3 - 1 Let n = -161 + 158. Let r(x) = x. Let g(i) be the third derivative of -i**4/4 + i**3/6 + i**2. Calculate n*r(y) - g(y). 3*y - 1 Let f(w) = 7*w**3 - 13*w**2 + 5*w + 5. Let l(z) = -4*z**3 + 6*z**2 - 2*z - 2. Give -2*f(u) - 5*l(u). 6*u**3 - 4*u**2 Let m(v) = -2*v**2 + 8. Suppose 77 = -4*j + 21. Let n be (-18)/j + 14/(-49). Let x = -20 + 28. Let p(z) = -1. Calculate n*m(l) + x*p(l). -2*l**2 Let f(t) = -4*t**2 + 7*t - 6. Let x(p) = 3*p**2 - 6*p + 5. What is -5*f(u) - 6*x(u)? 2*u**2 + u Let z = 7 - 13. Let w(o) = 1. Let n(y) = y - 1. Let a(l) = z*n(l) - 13*w(l). Let f(m) = -5*m - 6. Suppose -2*g + 0*g - 14 = 0. What is g*f(k) + 6*a(k)? -k Let x(r) = -10*r + 3. Let i be x(1). Let g(k) = 8*k + 17. Let m(y) = 4*y + 8. Let s(v) = i*m(v) + 3*g(v). Let w(u) = 6*u + 7. What is -7*s(t) - 5*w(t)? -2*t Let h(f) = 24*f - 2. Let d(m) = 12*m - 1. Determine 11*d(t) - 6*h(t). -12*t + 1 Let d(o) = 20*o**2 - 17. Let z(c) = 7*c**2 - 6. Let n be 0 - 6/4*8. Let v = -6 - n. What is v*d(i) - 17*z(i)? i**2 Let m(y) = 3*y. Let t(o) = o. Suppose 4*n - 2*n = 4. Suppose -4*a = -3*c - 14 + 6, -10 = -5*a - n*c. What is a*m(d) - 5*t(d)? d Let x(v) = -192*v**3 + 5*v**2. Let u(q) = -288*q**3 + 8*q**2. Give -5*u(m) + 8*x(m). -96*m**3 Let l = -31 - -33. Let h(t) = 3*t**3 + 13*t**2 - 7. Let j(v) = -v**3 - 4*v**2 + 2. What is l*h(o) + 7*j(o)? -o**3 - 2*o**2 Let w(b) = 1. Suppose f - 6*f + 30 = 0. Let c = f + -1. Let a(x) be the third derivative of x**4/24 - 7*x**3/6 - 2*x**2. Determine c*w(l) + a(l). l - 2 Let g(k) be the second derivative of 2/3*k**3 + 3/2*k**2 + 0 - k. Let c(v) = 11*v + 8. Suppose -6*b + 3 = -7*b. What is b*c(p) + 8*g(p)? -p Let a(q) be the third derivative of q**5/60 - q**4/12 - q**3/2 + 2*q**2. Let p(i) = -4*i**2 + 8*i + 13. Determine -9*a(u) - 2*p(u). -u**2 + 2*u + 1 Let m(l) = 11*l**2 + 8*l - 8. Let y = 61 + -53. Let i(a) = -4*a**2 - 3*a + 3. Determine y*i(r) + 3*m(r). r**2 Let f(v) = -2*v - 4 + 0*v + 3. Let d be f(-2). Suppose d*c + 8 = c. Let a(i) = -i**2 - 5. Let n(s) = s**2 + 4. Determine c*a(j) - 5*n(j). -j**2 Let n(q) be the third derivative of -q**6/24 + q**5/20 + q**4/8 - q**3/2 + 8*q**2. Let m(c) = c**3 - c**2 - c + 1. Give -3*m(z) - n(z). 2*z**3 Let u(y) = 7*y**3 - 2*y + 3. Let q(v) = 4*v**3 - v + 2. Suppose -12 = -375*t + 373*t. Give t*u(d) - 10*q(d). 2*d**3 - 2*d - 2 Let s = -1 + 4. Suppose -8 = s*k + g - 5*g, 5*k + 23 = -3*g. Let n(m) = -4*m + m + 2 + 2*m - 2*m**2. Let x(o) = -2*o**2 - o + 2. Give k*x(h) + 5*n(h). -2*h**2 - h + 2 Let z(p) = -p + 1. Let x(j) = 10*j - 14. Suppose -3*v = 2*n - v - 26, v = 2*n - 23. Calculate n*z(s) + x(s). -2*s - 2 Let t(b) = -3*b - 3. Let a(m) be the first derivative of -3*m**2/2 - 2*m + 19. Calculate -4*a(v) + 3*t(v). 3*v - 1 Let n(w) = w**2 + 2. Let u(h) = 5*h**3 - 5*h**2 - 5*h + 1. Let c(z) = -11*z**3 + 11*z**2 + 11*z - 2. Let j(y) = 6*c(y) + 13*u(y). What is 2*j(x) - n(x)? -2*x**3 + x**2 + 2*x Let c(p) = -p - 1. Let h(w) = 2*w + 3. Let j(d) = -6*c(d) - h(d). Let a(f) = -f**2 + 7*f - 5. Let b be a(5). Let i(k) = -3*k - 2. Determine b*i(l) + 4*j(l). l + 2 Let g(f) = -3*f**2 + 4*f + 1. Let p(m) = -9*m - 8*m - 3 - 1 + 13*m**2 - 1. Calculate 9*g(u) + 2*p(u). -u**2 + 2*u - 1 Let t(h) = -1. Let r(j) = -j - 4. Let k(p) = -r(p) + 4*t(p). Let n = 3 - 2. Let f(z) = -n - 1 + 2*z + 6*z. Give f(w) - 6*k(w). 2*w - 2 Let r(w) = 11*w - 2. Let q be 1 + (1 - 2 - 6). Let j(h) = -11*h + 2. Let v(t) = q*r(t) - 5*j(t). Let s(d) = 5*d - 1. Determine -13*s(k) - 6*v(k). k + 1 Let q(x) = 3*x**2. Let l(v) = v**2. Let b(k) = -11*l(k) + 4*q(k). Let u(j) = j**2 - 2*j - 1. Determine -2*b(c) + u(c). -c**2 - 2*c - 1 Let f(x) = 19*x**2 + 2*x. Let t(c) = c**2. Calculate -f(g) + t(g). -18*g**2 - 2*g Let m(i) be the third derivative of 23*i**5/60 - 7*i**3/3 - 7*i**2. Let g(s) = 8*s**2 - 5. What is -17*g(n) + 6*m(n)? 2*n**2 + 1 Suppose -11 - 13 = 4*w. Let s(r) = r. Let b(d) = -d**2 - d - 1. Let h(u) = 2*u**3 + u**2 + 6*u + 1. Let j(f) = b(f) + h(f). Let c = 1 - 0. Give c*j(g) + w*s(g). 2*g**3 - g Let o(q) = -q**3 + 2*q**3 - 1 + 0. Let j be (-12 + 3)*1/(-3). Let g(t) = 4*t**j + t**3 - 5 - 1. Determine -g(f) + 6*o(f). f**3 Let l(g) = g. Suppose 5*k + 19 = -0*k - 4*n, 5*k + 10 = 5*n. Let y(j) = -2*j. Determine k*l(x) - y(x). -x Let n(a) = 17*a**3 + 6*a**2 - 6. Let j(z) = -33*z**3 - 13*z**2 + 13. Determine 6*j(i) + 13*n(i). 23*i**3 Let m(h) = 3*h + 6. Let n(o) = -o - 1. Determine -m(c) - 4*n(c). c - 2 Let c(z) = -3*z**3 - 4*z**2 + 3*z - 2. Let l be ((5/(-1))/1)/((-3)/(-3)). Let h(n) = -4*n**3 - 5*n**2 + 4*n - 3. Determine l*c(r) + 4*h(r). -r**3 + r - 2 Let u(q) = 2*q - 2 + 5*q + 4 - 6*q**2. Let d(b) = -8*b**2 + 3*b + 5. Let j(o) = -9*o**2 + 2*o + 6. Let h(y) = 4*d(y) - 3*j(y). Calculate 5*h(r) - 4*u(r). -r**2 + 2*r + 2 Let u(n) = -n + 1. Let m(x) = -2*x**2 - x + 1. What is -3*m(l) + 3*u(l)? 6*l**2 Suppose -o + 1 + 0 = -4*h, 0 = 5*h - 4*o + 15. Let l(c) = 1. Let i(z) = 3*z. Let q(u) = i(u) + l(u). Let k(v) = -v - 1. What is h*q(b) + 2*k(b)? b - 1 Suppose -3 = -6*p + 33. Let i(w) = 21*w**3 - 13. Let d(g) = -10*g**3 + 6. Determine p*i(j) + 13*d(j). -4*j**3 Suppose 35 = -f - 4*f. Let w(v) = -10*v + 10. Suppose -5 = -0*n - n. Let j(l) be the second derivative of -7*l**3/6 + 7*l**2/2 + 2*l. Determine f*j(r) + n*w(r). -r + 1 Let o(z) = 8*z**3 + 6*z + 2. Suppose -25 = -4*g - 9. Let h(n) = 2*n**3 + 2*n + 9. Let t(i) = i**3 + i + 4. Let b(u) = g*h(u) - 9*t(u). Determine 6*b(l) + o(l). 2*l**3 + 2 Let a(m) = -2*m + 4. Let t(w) = 3. Let z(b) = 1. Let x(d) = -t(d) + 4*z(d). Let q be (-2)/(-7) + 26/7. Give q*x(p) - a(p). 2*p Suppose -20 = -5*k + k. Let r(n) = 5 - 4*n - 2 + 2 - 4. Let s(o) be the first derivative of 9*o**2/2 - 2*o + 5. Give k*r(w) + 2*s(w). -2*w + 1 Let l(a) = 15*a - 6. Let h(x) = -30*x + 11. Determine -4*h(i) - 7*l(i). 15*i - 2 Let f(d) = -d**2 - d + 1. Let i(y) = 45*y - 45. Determine 45*f(o) + i(o). -45*o**2 Let i(v) = v - 1. Suppose x - 2 = 10. Suppose 0 = -2*b + 4*s + x, 0*s - 22 = 3*b + 2*s. Let p(o) = o - 72 + 70 + 0*o**2 - o**2. What is b*i(q) + 2*p(q)? -2*q**2 - 2*q Let m(y) = 13*y**2 + 52*y - 52. Let k(t) = -t + 1. Calculate -52*k(d) - m(d). -13*d**2 Let f(p) = 13*p - 2. Let q(l) = -66*l + 11. Give -11*f(v) - 2*q(v). -11*v Let o(j) = -2. Suppose 4*p + 2*d = 7*d - 4, -3*p + 3*d = 0. Let i(m) = -7 + 0 + m - p. Let h(w) = -6*w - 22. Let t be h(-4). What is t*i(v) - 11*o(v)? 2*v Let p(h) = h + 3. Let j(t) = 3*t + 6. Let v be (1/3)/((-1)/(-3)). Let y(o) = -o - 1. Let d = 40 - 39. Let a(s) = d*y(s) + v*j(s). Determine 3*a(i) - 5*p(i). i Let y(b) = 25*b + 100. Let z(a) = -1. Calculate y(j) + 1
{ "pile_set_name": "DM Mathematics" }
*2 - 95*h + 19. Determine n(-24). -5 Let a(p) = -p**3 + 36*p**2 - 63*p - 170. What is a(34)? 0 Let j(g) = -g + 4. Determine j(2). 2 Let v(f) = -3*f**3 - 2*f**2 + f. Determine v(1). -4 Let p(a) = -7*a + 16. Determine p(9). -47 Let t(l) = l**2 - 17*l - 278. Calculate t(27). -8 Let b(c) = 128*c + 1415. Give b(-11). 7 Let l(c) = 2*c - 4. Give l(2). 0 Let g(a) = -8*a**2 - 2*a - 1. Give g(-1). -7 Let x(d) = 41*d + 250. Calculate x(-6). 4 Let h(i) = -2*i**3 - 11*i**2 - 7*i - 8. Calculate h(-7). 188 Let j(a) = -2*a - 2. Give j(-1). 0 Let k(h) = -h - 5. Determine k(5). -10 Let b(s) = -14*s**2 + 14*s - 5. Calculate b(4). -173 Let t(j) = -2*j**2 + 16*j - 15. Give t(6). 9 Let z(a) = -7*a**2 - 4*a - 3. What is z(-1)? -6 Let q(h) = 3*h**2 + 5*h. Determine q(-2). 2 Let h(j) = -2*j**3 - 13*j**2 + 8*j + 4. Give h(-7). -3 Let f(t) = t**2 + 9*t - 13. Calculate f(-9). -13 Let v(n) = n**3 - 19*n**2 - n + 23. Give v(19). 4 Let d(q) = -q**3 + 7*q**2 - 6*q + 6. Calculate d(4). 30 Let n(x) = x**3 + 5*x**2 - 6*x. Give n(-6). 0 Let o(u) = 3*u + 27. Give o(-17). -24 Let h(j) = j**2 - 9*j + 11. Determine h(5). -9 Let r(y) = -y**2 - 8*y + 12. What is r(-10)? -8 Let z(s) = s**2 + 4*s - 29. Determine z(-7). -8 Let i(m) = -13*m + 1. Give i(3). -38 Let i(m) = m - 12. Give i(4). -8 Let o(v) = -11*v + 7. What is o(3)? -26 Let d(y) = 4*y + 8. Determine d(-5). -12 Let n(y) = 27*y**3 + y**2 + y - 1. Determine n(-1). -28 Let j(t) = t + 5. Calculate j(-11). -6 Let p(i) = 21*i**3 + 3*i**2 - 3*i - 2. Determine p(-2). -152 Let a(p) = -p**3 - 3*p**2 + 27*p + 16. What is a(-7)? 23 Let p(t) = t**2 - 55*t + 1. What is p(55)? 1 Let z(y) = -31*y - 1. Give z(1). -32 Let v(y) = 2*y**3 - 2*y**2 - 16*y + 4. Calculate v(3). -8 Let r(k) = k - 9. Give r(-4). -13 Let j(y) = -6*y - 16. Give j(-5). 14 Let s(m) = m**2 + 4*m + 3. Determine s(-2). -1 Let b(m) = 10*m - 46. Give b(7). 24 Let n(o) = -280*o + 1951. Determine n(7). -9 Let l(m) = -2*m**3 + 24*m**2 + 4*m - 26. What is l(12)? 22 Let k(w) = w**3 - 9*w**2 + 10*w - 3. What is k(8)? 13 Let p(c) = c**3 + 3*c**2 - 2*c - 10. Calculate p(-2). -2 Let r(a) = 6*a**2 - 52*a + 1. Give r(8). -31 Let v(s) = 4*s**2 - s - 3. Determine v(-3). 36 Let l(o) = o**3 - 26*o**2 - 21. Calculate l(26). -21 Let y(l) = 5*l**2 - 20*l - 13. What is y(6)? 47 Let y(i) = -i**2 - 17*i - 2. Calculate y(-17). -2 Let k(l) = -l**2 + 8*l + 1. What is k(3)? 16 Let b(p) = p**3 - p**2 - p + 6. What is b(0)? 6 Let z(p) = p**3 + p**2 + 2*p. Determine z(-3). -24 Let c(j) = j**3 + 14*j**2 - 29*j + 27. Give c(-16). -21 Let u(d) = d**2 + 19*d + 68. Give u(-15). 8 Let o(p) = -17*p - 424. Calculate o(-25). 1 Let d(u) = -4*u**2 + 107*u + 138. What is d(28)? -2 Let z(x) = x**2 - 13*x - 97. Calculate z(-6). 17 Let v(n) = -6*n**2 + 2*n - 2. What is v(1)? -6 Let n(t) = -t**2 - 4*t - 4. Give n(-5). -9 Let t(i) = -i**2 + 5*i - 13. Give t(12). -97 Let i(m) = -m**2 + 9*m - 2. Determine i(7). 12 Let i(p) = -p**2 - 23*p - 2. Calculate i(-23). -2 Let f(i) = -i + 9. Determine f(0). 9 Let m(f) = 30*f**2 - 4*f - 1. Give m(2). 111 Let m(p) = -21*p + 1. Give m(1). -20 Let f(i) = i**3 - 9*i**2 - 7*i + 41. Determine f(9). -22 Let q(g) = -g**3 + 7*g**2 - 11*g + 1. Calculate q(5). -4 Let b(x) = -x**2 - 12*x - 31. Give b(-10). -11 Let x(u) = u**2 - 10*u + 2. Determine x(9). -7 Let c(n) = n**3 - 18*n**2 + 19*n - 16. Determine c(17). 18 Let u(s) = -5*s + 162. Determine u(32). 2 Let q(x) = x**2 - 7*x + 2. Calculate q(11). 46 Let n(k) = k**2 + 5*k + 3. Give n(-4). -1 Let j(s) = s**3 + 11*s**2 + 19*s + 16. Calculate j(-9). 7 Let m(o) = -4*o + 26. Determine m(-10). 66 Let s(k) = 3*k**2 + 13*k + 9. Give s(-3). -3 Let s(q) = -7*q**2 - 13*q + 9. Calculate s(1). -11 Let p(z) = z**3 - 12*z**2 + 18*z - 26. Calculate p(11). 51 Let w(h) = -2*h - 18. Calculate w(-7). -4 Let p(b) = b**2 + 29*b - 30. What is p(-30)? 0 Let w(d) = d**2 - 12*d + 7. Give w(9). -20 Let q(p) = -p**2 + 11*p - 23. Calculate q(9). -5 Let r(i) = 2*i**3 - 63*i**2 - 30*i - 45. What is r(32)? 19 Let a(j) = 2*j**2 - 26*j + 1. Calculate a(16). 97 Let d(u) = -6*u - 35. Determine d(-8). 13 Let j(i) = i**3 - 11*i**2 + 12*i - 10. Determine j(10). 10 Let w(b) = b**3 + 9*b**2 + 12*b. What is w(-8)? -32 Let f(g) = -g**3 - 13*g**2 - 14*g - 3. Determine f(-11). -91 Let h(r) = 45*r - 3. Determine h(-1). -48 Let b(u) = -42*u**2 - 253*u - 8. Give b(-6). -2 Let z(w) = 21*w + 108. Determine z(-6). -18 Let o(w) = w - 10. Calculate o(20). 10 Let j(n) = 3*n + 91. Give j(-27). 10 Let v(f) = -f**3 + 5*f - 21. Determine v(0). -21 Let p(z) = 120*z - 1. Calculate p(1). 119 Let b(a) = a**3 + 2*a - 7. Give b(2). 5 Let h(g) = -g**3 + 5*g**2 - 6*g - 6. Calculate h(4). -14 Let n(o) = 2*o**2 - 6*o - 4. Determine n(5). 16 Let t(r) = r**2 - 11*r + 16. Determine t(10). 6 Let a(x) = 3*x**3 + 5*x**2 + x - 2. Determine a(-2). -8 Let l(p) = -p**3 - p**2 + 15*p + 26. Determine l(-4). 14 Let j(a) = -3*a - 6. What is j(-4)? 6 Let o(s) = -s**3 - 11*s**2 + s - 1. What is o(-11)? -12 Let l(s) = -s**3 + 14*s**2 + 33*s - 264. Give l(15). 6 Let g(p) = p**3 - 18*p**2 + 2. Determine g(18). 2 Let q(d) = d**3 + 22*d**2 + 22*d - 35. Determine q(-21). -56 Let q(w) = -w**3 + 8*w**2 - 6*w - 7. What is q(7)? 0 Let v(j) = 50*j - 8. Give v(3). 142 Let o(w) = 12*w - 151. What is o(12)? -7 Let d(f) = 4*f - 26. Determine d(5). -6 Let b(g) = 2*g**2 + 45*g - 524. What is b(-31)? 3 Let s(x) = -6*x**2 + 16*x. What is s(2)? 8 Let q(d) = -5*d + 3. Give q(-4). 23 Let i(b) = -3*b - 52. Calculate i(-22). 14 Let i(g) = -3*g**2 - 35*g + 21. Give i(-13). -31 Let f(r) = r**2 + 5*r - 85. Calculate f(-12). -1 Let d(y) = -y**3 - 11*y**2 - 9*y + 9. Give d(-10). -1 Let t(f) = -4*f**2 + 7*f + 3. What is t(6)? -99 Let j(g) = 6*g + 75. Give j(-13). -3 Let f(k) = -k**2 + 3. Calculate f(5). -22 Let m(g) = 2*g**2 + 33*g - 24. Determine m(-17). -7 Let a(b) = b**3 - 18*b**2 - 3*b - 43. Calculate a(18). -97 Let i(q) = q**3 - 13*q**2 + 34*q + 7. Calculate i(9). -11 Let s(v) = -v**3 - 6*v**2 - 5*v - 4. Calculate s(-7). 80 Let a(w) = 6*w**3 + 2*w**2 - 2. Give a(1). 6 Let r(l) = l**3 - 14*l**2 + 12*l + 9. Give r(13). -4 Let j(h) = -h**3 + 7*h**2 + 6*h - 10. Give j(7). 32 Let q(b) = 5*b**2 - 49*b - 8. What is q(10)? 2 Let x(p) = -2*p**2 - 82*p - 70. Give x(-40). 10 Let z(q) = -19*q + 75. Give z(6). -39 Let x(o) = -o**2 + 32*o - 249. Give x(15). 6 Let l(o) = o**3 - 18*o**2 + 62*o + 124. What is l(12)? 4 Let w(n) = -16*n - 144. Give w(-8). -16 Let q(j) = -9*j**3 + j**2 - 3*j + 4. Give q(1). -7 Let s(h) = -h**3 - 7*h**2 + 16*h - 9. Give s(-9). 9 Let v(t) = t**2 - 2*t - 40. Determine v(14). 128 Let a(q) = 5*q + 32. Give a(22). 142 Let y(p) = 3*p**2 + 16*p + 17. Calculate y(-4). 1 Let g(b) = 90*b - 1264. Determine g(14). -4 Let x(d) = -3*d**3 - 34*d**2 - 13*d - 6. What is x(-11)? 16 Let b(v) = v**3 - 11*v**2 + 25*v - 16. Determine b(8). -8 Let p(i) = 11*i + 9. Give p(2). 31 Let u(l) = -13*l**3 - l**2 - l + 3. Calculate u(1). -12 Let s(z) = 2*z**2 + 118*z + 110. Calculate s(-58). -6 Let n(a) = -a - 8. Give n(-10). 2 Let p(i) = 2*i**2 - 10*i + 4. What is p(7)? 32 Let a(b) = -b + 18. Give a(-14). 32 Let d(z) = -z**3 + 2*z**2 + 9*z - 7. Calculate d(3). 11 Let y(h) = 27*h**3 - h + 2. Give y(1). 28 Let c(q) = q**3 - 2*q**2 - 11. Give c(0). -11 Let s(r) = r**3 - 27*r**2 + 48*r + 49. Determine s(25). -1 Let v(o) = -o**3 + o**2 - o - 5. What is v(0)? -5 Let f(q) = -7*q - 52. What is f(-13)? 39 Let h(a) = -a**3 + 8*a**2 - 10*a - 14. Calculate h(6). -2 Let o(s) = s + 17. Give o(12). 29 Let k(b) = 7*b - 6. Calculate k(-1). -13 Let m(r) = r**2 + 12*r + 10. Determine m(-5). -25 Let d(m) = 20*m - 438. Calculate d(22). 2 Let v(s) = 3*s - 14. Calculate v(6). 4 Let f(b) = -13*b**2 - 37*b + 2. Calculate f(-3). -4 Let x(m) = 3*m**2 - 20*m - 13. Give x(7). -6 Let z(h) = h**3 - 2*h**2 - 2*h - 12. Give z(0). -12 Let h(v) = v**2 + 30*v - 9. What is h(-8)? -185 Let k(s) = -3*s**3 + 62*s**2 - 39*s - 40. Give k(20). -20 Let q(b) = b**3 + 12*b**2 + 13*b + 17. Determine q(-11). -5 Let x(y) = -y**2 + 7*y - 8. Determine x(3). 4 Let n(y) = -y**3 - 10*y**2 - 13*y - 31. Give n(-9). 5 Let d(k) = -2*k**2 + 31*k - 8. What is d(15)? 7 Let v(n) = 3*n**3 + n**2 + n. Calculate v(-1). -3 Let f(w) = -w**3 + 9*w**2 - 19*w - 1. What is f(4)? 3 Let b(h) = h**2 - 7. Give b(5). 18 Let r(z) = -9*z - 12
{ "pile_set_name": "DM Mathematics" }
q Let g = 8.2 - 9. Let t = g - 4.2. Sort t, -2/7, 2 in increasing order. t, -2/7, 2 Let s = -1 + 0.9. Sort 0.4, s, 4 in decreasing order. 4, 0.4, s Let z = 7 + -3. Suppose -15 = -z*n - 7. Sort 3, -4, n in increasing order. -4, n, 3 Suppose 0 = -o - 3*o + 24. Suppose 0*a + 6 = 2*a - 3*y, 4*y = -2*a + o. Let x(c) = c - 4. Let m be x(8). Put 5, m, a in ascending order. a, m, 5 Let a = -8 + 17. Suppose -a*m + 20 = -4*m. Put m, -4, 2 in ascending order. -4, 2, m Let c be (-8)/36 - 13/9. Sort c, 0.1, -2, -0.06. -2, c, -0.06, 0.1 Let s = 2 + -1.9. Let n = 24.49 + 0.51. Let h = n - 30. Sort s, h, -0.06. h, -0.06, s Let u = 0.7 + 1.3. Let m = -2.2 - -0.2. Sort -3/4, u, m. m, -3/4, u Let x = -0.1 + 0.6. Let n = -18940/1183 + 50/169. Let t = -16 - n. Sort x, 2/5, t in descending order. x, 2/5, t Let x(y) = -5*y - 15. Let o be x(-3). Put -2, 5, 3, o in decreasing order. 5, 3, o, -2 Let x(i) = -i - 2. Let h be x(6). Let s(q) be the third derivative of -q**6/120 - 2*q**5/15 + 5*q**3/6 + q**2. Let k be s(h). Put 0.3, 4, k in increasing order. 0.3, 4, k Let u = 12 - 17. Sort 3/2, -3, -4, u. u, -4, -3, 3/2 Suppose -k + 5*g - 9 = 0, 4*g - 4 = 3*k + 1. Let x be -2 + 3 + k + 1. Sort x, 4, -0.3 in descending order. 4, x, -0.3 Let d = 0.03 - 0.07. Let q = 0.04 + d. Sort q, 3, -0.3 in increasing order. -0.3, q, 3 Let h(l) = -3*l - 10. Let y be h(-4). Put 5, y, 4 in increasing order. y, 4, 5 Let m = -2.9 - 1.1. Put -3, m, 5 in decreasing order. 5, -3, m Let o(x) = x**3 + 7*x**2 + 8*x - 5. Let t be o(-5). Put 2, t, 1, 4 in decreasing order. t, 4, 2, 1 Let g = 4.895 - -0.105. Sort 4, g, 2/7, -5 in decreasing order. g, 4, 2/7, -5 Let t = -183 + 199.6. Let o = t + -18. Let k = 0.4 + o. Sort -0.3, k, -5 in descending order. -0.3, k, -5 Let t = 15 + -11. Let h be (-6)/(-21) - (-226)/(-7). Let p be (6/h)/(1/4). Put p, t, -4 in increasing order. -4, p, t Let b = -9 + 14. Suppose m - 3 = -b. Sort 4, m, -5 in decreasing order. 4, m, -5 Suppose -3 = l - u, -4*l - 4*u = -7*u + 8. Put 0.1, -0.4, 4, l in descending order. 4, l, 0.1, -0.4 Let m be (-8)/28 - (-36)/28. Put -3/4, m, 11/6, 5 in increasing order. -3/4, m, 11/6, 5 Let d = -25 + 28. Put -3, -1, d, 2 in increasing order. -3, -1, 2, d Let f = 10 + -15. Put f, -1, -2/7, 3 in decreasing order. 3, -2/7, -1, f Let h be 0 - (1/2 - 2). Let x be (-40)/238 - (5 + (-333)/63). Put -5, x, h in decreasing order. h, x, -5 Let x = -23 + 18.3. Let y = -5 - x. Let z be 3/(-30) - 1/2. Put z, y, 1/3 in descending order. 1/3, y, z Let a = 7.4 - 7. Put a, 1/5, -3 in descending order. a, 1/5, -3 Let c = -95 + 1043/11. Let m = -4.8 + 0.8. Put m, 5, c in descending order. 5, c, m Let z = 59 + -55. Put 0, z, -3 in decreasing order. z, 0, -3 Suppose -5*u = -p - 0*u + 4, 4*u - 16 = -4*p. Let o(i) = -i**2 + 6*i - 4. Suppose 9 - 2 = j + 4*z, 0 = z - 1. Let h be o(j). Sort -4, h, p. -4, p, h Let z be -1*1 + (-1)/1. Let o = 0 - 4. Put z, 1, o in descending order. 1, z, o Let k(l) = l**3 - l**2 - l. Let t be k(0). Suppose 3*p = -t*p + 12. Suppose -p = g - 0. Put 1, 2, g in ascending order. g, 1, 2 Suppose 7 = 6*v - 5. Suppose 13 = 2*c + 3*h - v, -h = -c. Sort -2, c, -5 in increasing order. -5, -2, c Let z = 91/66 + 4/33. Let r = 1 - z. Sort r, -1/6, 3/4 in descending order. 3/4, -1/6, r Let m = -1 - -1. Let b be 2*(-3)/6*m. Let t = -4 + 6. Put t, 1, b in ascending order. b, 1, t Let i = 0.3 + -0.2. Let c = -148/585 - -2/65. Let r = -176/427 - 1/61. Sort r, c, i in decreasing order. i, c, r Suppose t + 8 = 3*t. Suppose 5*k + t = 9. Sort 2, 5, k. k, 2, 5 Suppose -7*u + 8 = -3*u. Let c(m) be the second derivative of m**3/6 - 4*m**2 + 6*m. Let v be c(13). Put u, 1, v in ascending order. 1, u, v Let f = 5/12 + -3/4. Let x = -140.8 + 141. Sort -0.1, x, f in decreasing order. x, -0.1, f Suppose w - 51 = -14. Suppose -d = -3*h - 11, -d + 5*h = -4*d - w. Let b be 32/(-14) - 10/(-35). Put d, b, 2 in descending order. 2, b, d Let j be (1/8)/(72/480). Suppose 2*c + 25 = -3*c. Sort j, c, 3/7 in decreasing order. j, 3/7, c Suppose -4*b - 14 = -0*s - 2*s, -s = 5*b + 28. Suppose -4*q = -5*q - 2. Let p be (-5)/(1/(q + 3)). Sort s, p, 1 in decreasing order. 1, s, p Let n = -1 - -2. Let i(l) = -l**3 - 2*l**2 + 1. Let w be i(-1). Sort n, 3, w. w, n, 3 Let j be (1/3)/((-1)/12). Put 3, j, 4 in descending order. 4, 3, j Let r = -1.042 - -0.042. Let o = -0.8 + 5.8. Sort -3, o, r in decreasing order. o, r, -3 Suppose 5*x - 3 = z, z - 12 = -4*x + 5*z. Let g be 7 + -4 - (x - 1). Put 3, g, -2 in descending order. g, 3, -2 Let g be ((-8)/(-3))/(2/3). Suppose 3*r = -g*a - 5, -a = r + r. Let j = 6/31 + -29/310. Sort -5, r, j. -5, j, r Let t = 104.3 + -104. Put -0.3, 1, t in decreasing order. 1, t, -0.3 Suppose r - 3*r - 4*k - 24 = 0, -5*r - 42 = k. Let w = -5 - r. Sort w, 2, 4 in decreasing order. 4, w, 2 Let u = 0.018 + 0.002. Sort -3, -0.2, 3, u in descending order. 3, u, -0.2, -3 Let m(p) be the third derivative of 2*p**2 + 0 + 2*p**3 - 1/2*p**4 - 1/60*p**5 + 0*p. Let y be m(-13). Sort y, -4, 0 in increasing order. -4, y, 0 Let s = 13 + 10. Let x = -14 + s. Let d(w) = w**3 - 9*w**2 + w - 8. Let p be d(x). Put -5, p, 3 in ascending order. -5, p, 3 Let l = 6 + -6. Suppose 5*h = 5*n + 10, 4*h + 7 = -n - l. Sort n, -2, 5 in decreasing order. 5, -2, n Let t = 71350 - 645263/9. Let r = t + 347. Put -2/7, -0.5, r in increasing order. -0.5, -2/7, r Let j = -0.05 - -3.05. Let r = -9 + j. Let n = -5.5 - r. Put -0.4, n, 5 in descending order. 5, n, -0.4 Let k = 2.9 + -4. Let j = 2.9 - k. Put 2, 1/3, j in descending order. j, 2, 1/3 Suppose 4*v - 1 = -5*g + 3, 0 = 3*v - g - 3. Sort -7, v, -3 in increasing order. -7, -3, v Let n be ((-9)/(-4))/((-3)/(-8)). Suppose 9*v + n = 12*v. Put 0, -1, v in descending order. v, 0, -1 Suppose 20 = -6*n + 2. Sort -1, 3, n. n, -1, 3 Let m be (4 + 1 - 1)/1. Suppose -a + m = 3*a. Sort a, -6, 3. -6, a, 3 Let w = -46 - -46. Sort 6, w, 1 in increasing order. w, 1, 6 Let g(w) = -4*w**3 + w. Let l be g(-1). Suppose -4*k - j - l*j + 12 = 0, 0 = -5*k - 3*j + 13. Sort k, 4, 0. 0, k, 4 Let h = 2.25 - 2.45. Let i = -2/9 - 5/18. Put -3, i, h in increasing order. -3, i, h Let v = -11.9582 - -0.0282. Let c = v - -12. Let i = -0.07 + c. Put 5, -4, i in increasing order. -4, i, 5 Suppose -5*g - 5*f = 10, -39 = -g + 3*g - 5*f. Sort 4, -5, g in decreasing order. 4, -5, g Let n = 0.8 + -0.5. Sort -0.07, n, 5. -0.07, n, 5 Let g(b) = 3*b - 2. Let l be (-2)/(-2) + 0 + 1. Let d be g(l). Sort -2, 5, d in ascending order. -2, d, 5 Let v = -5.6 + 5. Let d = v - -0.4. Put d, 2/3, 0.3 in descending order. 2/3, 0.3, d Let p be 5 - ((-4)/(-6) - 8/(-24)). Suppose o + q + 1 = 0, o + 0*q = -4*q + 2. Sort 2, o, p in descending order. p, 2, o Let g = 4.0538 - 0.0238. Let l = 0.03 - g. Sort 5, -1, l in ascending order. l, -1, 5 Let b = -7 - -2. Let q(l) = l**2 + 13*l - 18. Let z be q(-14). Let c(j) = j + 11. Let m be c(-10). Sort b, z, m in decreasing order. m, z, b Let a be (-33 - -1)/4 + 15/3. Let b(d) = -2*d + 3. Let u be b(4). Put 0, u, a in descending order. 0, a, u Let y(h) = -h**2 - 4*h - 5. Let g be y(-2). Put g, 2/3, 4 in decreasing order. 4, 2/3, g Let l = -4 + 1. Let n = 63.5 - 64. Put l, n, -4 in descending order. n, l, -4 Suppose 3*x - 17 = 5*i, -4*x - 4*i + 2*i = 12. Let s = 5 + 0. Put 0, s, x in descending order. s, 0, x Let g = -56.1 - -56. Put -2/7, 1, g, 0.08 in descending order. 1, 0.08, g, -2/7 Let b = -2.3 + 2.35. Suppose 2*v + 3*d + 8 = 0, 4*v + 4*d + 11 = -5. Sort b, 0.2, v in decreasing order. 0.2, b, v Suppose -2*n = -4*d + 12, n = -3*d + 2 + 2. Sort -5, -3, d in descending order. d, -3, -5 Let t be -9 + -1 + 0 + 4. Sort t, -2/13, 0.2. t, -2/13, 0.2 Let s be (-11)/4 - 1/4. Let o(u) = -u**3 - 4*u**2 - 3*u - 4. Let q be o(s). Let k be (2 + q)/(2/(-3)). Put k, -5, 2 in decreasing order. k, 2, -5 Let q be (20/((-16)/4))/(-1 - 0). Put 4, q, -3, 2 in decreasing order. q, 4, 2, -3 Let m = -2465/7 + 353. Put 2/9, m, 0.1 in descending order. m, 2/9, 0.1 Let b = -9 - -8.92. Let t = 0.07 + b. Let k = t + 3.01. Put 0, 2, k in ascending order. 0, 2, k Let m(n) = n**3 - n**2 - 4*n + 1. Let c be m(0). Put -2, c, -3 in descending order. c, -2, -3 Let i = 0 - 0.3. Let v = -10 - -14. Suppose -3*z = 2*y + 11, 5*y + v*z = z - 5. Put -2, y, i in increasing order. -2, i, y Suppose 2*p =
{ "pile_set_name": "DM Mathematics" }
4*b. Let j(c) be the second derivative of l(c). Determine j(q(t)). -3*t**2 Let d(z) be the third derivative of z**6/40 + 13*z**3/6 - 18*z**2. Let s(n) be the first derivative of d(n). Let u(b) = -2*b**2. Give s(u(j)). 36*j**4 Let r(m) = -2*m - 6. Let n(h) be the first derivative of h**2 + 4*h + 44. Let j(c) = -3*n(c) - 2*r(c). Let o(d) = 115*d. Give j(o(l)). -230*l Let v(y) = -4*y. Let t(k) = 3173*k - 1. Determine t(v(r)). -12692*r - 1 Let d(v) = v**2. Let p(x) = -122609*x. Determine d(p(b)). 15032966881*b**2 Let r(z) be the third derivative of z**4/12 + z**3 + 8*z**2 - 6*z. Let v(k) = 4*k**2. Give v(r(l)). 16*l**2 + 96*l + 144 Let q(o) = -o**2. Suppose 2*d - 2 = -6. Let b be 2*(-1)/d*77. Let k(s) = 5*s + 2. Let g(t) = 189*t + 77. Let y(a) = b*k(a) - 2*g(a). Calculate y(q(h)). -7*h**2 Let t(j) = -204*j. Let u(s) = 29*s. Let o(h) = -2*t(h) - 15*u(h). Let b(g) = 4*g. Let z(k) = -k. Let q(y) = -b(y) - 2*z(y). What is q(o(v))? 54*v Let h(t) = 1. Let m(s) = 88*s - 42*s - 45*s - 6. Let p(i) = 6*h(i) + m(i). Let v(b) = -21*b. Calculate v(p(d)). -21*d Let w(a) = -4*a**2. Let h(d) be the second derivative of d**3 + 11*d - 2. What is h(w(q))? -24*q**2 Let u(o) = 38*o - 22. Let z(y) = -20*y + 12. Let f(n) = 6*u(n) + 11*z(n). Let j(q) = -10*q**2. Give j(f(s)). -640*s**2 Let n(u) = u**2. Let y(x) be the third derivative of -x**6/36 + 4*x**3/3 + 14*x**2. Let k(v) be the first derivative of y(v). What is n(k(i))? 100*i**4 Let m(v) = -15*v**2. Let l(i) be the third derivative of i**7/5040 + i**5/6 - 8*i**2. Let t(o) be the third derivative of l(o). Calculate t(m(f)). -15*f**2 Let z(x) = x + 2 - 3*x - 2. Let p(i) = 0*i - 6 - 7*i**2 - 3*i - 3*i - i**2. Let c(q) = 17*q**2 + 13*q + 13. Let o(u) = 6*c(u) + 13*p(u). Determine o(z(r)). -8*r**2 Let a(z) = 5*z - 8 - 2*z + 8 - z. Let i(h) = 11*h**2. What is a(i(g))? 22*g**2 Let g(t) be the third derivative of -29*t**5/120 + 13*t**3/6 + 11*t**2. Let h(d) be the first derivative of g(d). Let k(p) = -p**2. Calculate k(h(c)). -841*c**2 Let v(s) = -27*s. Let z(x) be the third derivative of x**6/720 + 19*x**4/24 - 42*x**2. Let o(g) be the second derivative of z(g). Give v(o(k)). -27*k Let h(u) = 22*u**2. Let b(c) be the second derivative of -2*c**4/3 - 164*c. Give h(b(l)). 1408*l**4 Let d(k) = -60170*k**2. Let l(a) = -a**2. What is d(l(x))? -60170*x**4 Let r(q) = -9*q**2 + 6*q**2 - 3*q**2. Let w(n) be the first derivative of 5 - 6 - 2 - n**3. Determine w(r(i)). -108*i**4 Let c(g) = -195*g**2 + g. Let v(l) be the second derivative of l**3/3 - 11*l + 12. What is v(c(z))? -390*z**2 + 2*z Let n(u) = -2*u**2 + u**2 - 2*u**2. Let s(w) = -w**2 - w. Let h(g) = -6*g**2 - 5*g. Let x(m) = -h(m) + 5*s(m). What is n(x(y))? -3*y**4 Let o(f) = -f + f + 2*f. Let l(s) be the third derivative of -s**6/90 + 7*s**3/3 - 19*s**2. Let b(h) be the first derivative of l(h). Give b(o(p)). -16*p**2 Let w(j) = 0 + 2*j**2 + 0. Let v(x) = -6*x**2 + 5*x + 5. Let y = -51 - -45. Let n(c) = 7*c**2 - 6*c - 6. Let b(m) = y*v(m) - 5*n(m). Calculate w(b(g)). 2*g**4 Let k(x) = 1 + 29*x**2 - 1 - 31*x**2. Let z(n) = 26*n**2 + 2*n. Determine z(k(c)). 104*c**4 - 4*c**2 Let b(o) = o. Let t(u) = -11*u - 5498. Calculate b(t(v)). -11*v - 5498 Let g(m) = 3*m**2 - 2*m**2 + 0*m**2. Let a be ((-20)/(-6))/((-28)/(-126)). Let j(q) = -7*q**2 + 20*q**2 - a*q**2. What is j(g(s))? -2*s**4 Let z(i) = 2 - i - 2 + 0*i. Let k(v) be the first derivative of 5*v**3/3 - 9. Determine z(k(g)). -5*g**2 Let v(n) = -15*n**2 - 14*n. Let d(g) = 14*g**2 + 13*g. Let k(m) = -4*d(m) - 3*v(m). Let h(j) = j. Calculate h(k(i)). -11*i**2 - 10*i Let u(g) be the third derivative of -5*g**4/12 - g**2 + 40*g. Let x(p) = -27*p**2. Calculate x(u(h)). -2700*h**2 Let a(i) = -526*i. Let m(b) = 336*b**2. Calculate m(a(k)). 92963136*k**2 Let g = -2 - -4. Let b = 506 - 402. Let c(q) = b - g*q - 104. Let t(u) = -5*u. Give t(c(n)). 10*n Let r(g) = 6*g. Let j(i) be the second derivative of 35*i**3/6 - 2*i - 28. Give r(j(a)). 210*a Let a(l) = -15*l. Let t(z) = -1076*z**2 + 86*z. Calculate t(a(c)). -242100*c**2 - 1290*c Let d(t) = 8*t + 5. Let f(x) = -12*x - 8. Let y(v) = 8*d(v) + 5*f(v). Let g(n) = 192122*n + 192123*n - 384252*n. What is y(g(z))? -28*z Let p(o) = 19175*o - 1. Let n(q) = -2*q. What is n(p(i))? -38350*i + 2 Let r(i) be the second derivative of i**2/2 - 5*i. Let g(p) = 2*p - 3. Let o(c) = g(c) + 3*r(c). Let f(l) = 9*l**2. Give f(o(y)). 36*y**2 Let i(m) = -27*m - 11. Let w(t) = -5*t - 2. Let n(h) = -2*i(h) + 11*w(h). Let s(p) = -p. Give n(s(z)). z Let m(v) = v**2 + v + 1. Let i(p) = -2*p**2 - 3*p. Let z(a) = 2*i(a) + 6*m(a). Let k(w) be the first derivative of z(w). Let q(d) = 3*d**2. Calculate k(q(b)). 12*b**2 Let z(c) = -34*c**2 + 34*c - 34. Let x(w) = -w**2 - w + 1. Let i = -8 - -9. Let g(u) = i*z(u) + 34*x(u). Let k(s) = -s. Determine g(k(q)). -68*q**2 Let s(c) = 8249*c. Let q(o) = -7*o**2. Calculate q(s(v)). -476322007*v**2 Let f(w) = -611*w. Let r(d) = 6*d + 5. Calculate r(f(b)). -3666*b + 5 Let g(a) = 6*a. Let p be 4/(-6) + 4/6. Suppose -2*c - 4*v + 4 = -0*v, -v = 1. Let d(q) = 0*q**2 - c*q**2 + 2*q**2 + p*q**2. Calculate d(g(b)). -72*b**2 Let f(b) = b**2. Let a(x) = 30*x**2 - 65*x - 2. Determine a(f(r)). 30*r**4 - 65*r**2 - 2 Let u(v) be the first derivative of 2*v**3/3 + 101. Let f(c) = 59*c. Determine f(u(m)). 118*m**2 Let o(c) be the second derivative of -c**4/6 + 3*c - 12. Suppose 2 = -2*h + h - 2*q, -h = -3*q - 13. Let l(g) = -2*g + 0*g + h*g. Determine l(o(j)). -4*j**2 Let z(q) = -1 + 10*q**2 + 1. Let w(s) be the first derivative of 2*s**2 + 480. Calculate z(w(t)). 160*t**2 Let t(r) be the second derivative of 25*r**3 - 574*r. Let d(n) = n. Determine d(t(c)). 150*c Let w(h) = -248*h**2 + 13. Let o(f) = 2*f - 8. Give o(w(l)). -496*l**2 + 18 Let c(y) be the second derivative of -y**3/2 - y - 3. Let o(a) = 3 - 2 + 8*a**2 - 1. What is o(c(q))? 72*q**2 Let n(g) be the first derivative of -4*g**3/3 + 113. Let i(h) = 190*h. Give n(i(s)). -144400*s**2 Let j(z) = 2*z**2 + 28*z + 24. Let x(u) = -u**2 + u - 4. Let n(o) = j(o) + 6*x(o). Let s(q) = 6*q. Calculate s(n(a)). -24*a**2 + 204*a Let i(d) = 17202 - d - 17202. Let t(c) = 5*c**2 + 29*c. Calculate t(i(o)). 5*o**2 - 29*o Let s(i) = -205*i**2 + 10*i + 1. Let z(d) = 28*d. Calculate z(s(x)). -5740*x**2 + 280*x + 28 Let r(v) = -8*v. Let s(p) = 2*p - 3. Let n(u) = 4. Let o(a) = 1. Let b(m) = n(m) - 3*o(m). Let z(c) = -3*b(c) - s(c). What is z(r(h))? 16*h Let q(v) = -131*v**2. Let j(t) = 1506*t**2. Give j(q(d)). 25844466*d**4 Let x(j) = -4*j. Let f(o) = -16*o**2 + 91*o. Calculate f(x(k)). -256*k**2 - 364*k Let q(g) = -6*g - 10. Let b(y) = 726*y + 1. Calculate b(q(h)). -4356*h - 7259 Let f(h) = 8*h. Suppose -4*g - 2 + 10 = 0. Let d(a) = -25*a - a**g - 27*a + 52*a. Give d(f(k)). -64*k**2 Let o(y) = 3*y. Suppose 3*t + 3 - 14 = r, 4*r + 52 = 4*t. Let p(f) = 8*f. Let z(m) = r*o(m) + 5*p(m). Let q(d) = -12*d**2. Determine q(z(n)). -48*n**2 Suppose 5*p = 3*z + 1 + 7, 0 = -4*z - 2*p + 24. Let s(f) = 0*f**2 + z*f**2 - 6*f**2. Let o(d) = -12*d**2. Calculate s(o(m)). -288*m**4 Let m(x) = -3*x**2 - 5*x + 5. Let b(l) = l - 1. Let z(s) = 5*b(s) + m(s). Let k(h) = -11*h. What is z(k(a))? -363*a**2 Let t(o) = -2143790 + 2143790 + o. Let u(d) be the third derivative of -d**5/60 - 2*d**2. Calculate t(u(x)). -x**2 Let v(p) = -4 - 7*p + 10*p + 4 + 38*p. Let a(s) = -23*s. Determine a(v(j)). -943*j Let b(i) = 4*i. Let m be (-498)/4*(-62)/93. Let w(y) = 83*y + 4*y**2 - m*y. Determine b(w(h)). 16*h**2 Let o(w) = -87*w**2. Let m(c) be the second derivative of c**4/12 + 59*c. Give m(o(b)). 7569*b**4 Let q(p) = -3*p**2. Let v(n) = 4037320*n. Determine q(v(a)). -48899858347200*a**2 Let c(u) = u. Let s be 19/5 - (-6)/30. Suppose 9*v - 15 = s*v. Let z(w) = v*w**2 - 176 + 176. What is c(z(q))? 3*q**2 Let h(b) = b. Let j(p) be the second derivative of 0 - 32*p - 62/3*p**3 + 0*p**2. Give j(h(c)). -124*c Let q(h) = -h**2 - 2. Let d be (-2)/3 + (-80)/60. Let v(x) = x**2 + 1. Let m(w) = d*v(w) - q(w). Let n(l) = -28*l. Determine m(n(y)). -784*y**2 Let c(t) = t - 1. Let f(s) = -57*s + 76. Let y(j) = -76*c(j) - f(j). Let v(u) = -11*u. Determine y(v(o)). 209*o Let b(c) = -2*c**2 + 588. Let u(p) = 2*p - 164. What is b(u(a))? -8*a**2 + 1312*a - 53204 Let o(b) = -2*b**2. Let l(j) be the firs
{ "pile_set_name": "DM Mathematics" }
). Determine i*j(d) - l(d). -5*d Let k(j) = -6*j. Let c(u) = 7*u. Let r = 21 + -13. Suppose -4*a = -r, 5*m + 1 + 15 = -2*a. Calculate m*k(n) - 3*c(n). 3*n Let q(f) = -9*f - 9. Let j be (24/(-18))/(4/(-6)). Let r(a) = 4*a + 3*a - 7*a - j - 2*a. Suppose -12 = 3*k + 6. Calculate k*q(o) + 26*r(o). 2*o + 2 Let w(o) = -o**2 + 10*o - 3. Let c(p) = -3*p**2 + 29*p - 8. What is 6*c(u) - 17*w(u)? -u**2 + 4*u + 3 Let f(p) = -34*p + 1. Let i(m) = 33*m - 1. Calculate 4*f(y) + 3*i(y). -37*y + 1 Let f(w) = -4*w**2 + 3*w + 4. Let n(u) = -12 + 9 - 2*u**2 - 3*u + 4*u**2 + u**2. What is 2*f(d) + 3*n(d)? d**2 - 3*d - 1 Let a = 9 + -6. Let v(g) = 3*g**2 - 9*g + 3. Let t = -18 - -21. Let l(y) = 2 + 0*y + 4*y - y**2 - t. Calculate a*v(n) + 7*l(n). 2*n**2 + n + 2 Let d(i) = i**3 - i**2. Let h(f) = 2*f**3 - f**2 + 3*f - 2. What is -d(v) + h(v)? v**3 + 3*v - 2 Let w(c) = c. Let z(f) = 4*f + 1. Let y = 127 + -124. Calculate y*w(u) - z(u). -u - 1 Let d(r) = 4*r**3 - 7*r**2 - 7. Let c = 9 + -2. Suppose 6*t = 5*t + c. Let j(b) = -3*b**3 - 2 + 5*b**2 + 1 + 6. Calculate t*j(a) + 5*d(a). -a**3 Suppose -5*x + 70 = 5*b, 5*b + 6 = 3*x + 4. Let t(i) = i - 4. Let m be t(x). Let a(z) = -8*z - m - 3*z + 2. Let h(c) = -7*c - 2. Determine -5*a(o) + 8*h(o). -o - 1 Let w(d) = d + 1. Let l(f) = -f - 2. What is -4*l(k) - 6*w(k)? -2*k + 2 Let l(k) = 4*k**3 + k**2 + 4. Let j(i) = -4*i**3 + 3*i**2 + 3*i**3 - 2 - 2*i**2 + 1. Give 2*j(u) + l(u). 2*u**3 + 3*u**2 + 2 Let u(b) = -b**3 - b**2 - 1. Let k(r) = 8*r**3 + 5*r**2 - 2*r + 5. Determine -k(f) - 5*u(f). -3*f**3 + 2*f Let p(a) = -7*a**3 - 5*a**2 + 52*a. Let x(o) = 6*o**3 + 4*o**2 - 53*o. Calculate -4*p(i) - 5*x(i). -2*i**3 + 57*i Let d(t) = -36*t**2 + 4. Let o(q) = -1. Give -d(a) - 5*o(a). 36*a**2 + 1 Let r(o) = o - 6. Let h = 7 - 9. Let p(c) = -2. What is h*r(u) + 7*p(u)? -2*u - 2 Let a(g) = 13*g**3 - 5*g**2 - 8. Let f(d) = 32*d**3 - 12*d**2 - 20. What is 12*a(b) - 5*f(b)? -4*b**3 + 4 Let v(t) = -2*t**3 - 5*t + 14. Let j(q) = q**3 + 4*q - 13. What is -3*j(d) - 2*v(d)? d**3 - 2*d + 11 Let b(w) = -8*w**3 - 10*w**2 + 4*w + 8. Let q(k) = k**3 + k**2 - 1. Calculate b(x) + 10*q(x). 2*x**3 + 4*x - 2 Let r(k) = k**2 + k + 1. Let z(a) = -4*a**3 - 3*a**2 - 3*a - 3. What is 6*r(n) + 2*z(n)? -8*n**3 Let z(x) = -2*x**3 - 7*x**2 + 6*x + 11. Let y(f) = -f**3 - 4*f**2 + 3*f + 6. Determine -7*y(s) + 4*z(s). -s**3 + 3*s + 2 Let a(m) = m + 7. Let p be a(3). Let x(i) = i**2 + 3*i + 3. Let b(l) be the first derivative of -2*l**3/3 - 5*l**2/2 - 5*l + 1. What is p*x(w) + 6*b(w)? -2*w**2 Let t(g) = 1 - 4 + 5*g**2 + 3*g**3 - 20*g**3. Let f(w) = -92*w + 1 + 3*w**3 - 2*w**2 + 92*w + 3*w**3. Calculate -11*f(n) - 4*t(n). 2*n**3 + 2*n**2 + 1 Let n(j) = -3*j - 2. Let k(d) = 16*d + 11. Let v(o) = 2*k(o) + 11*n(o). Let h(f) = 4*f**2 + 12*f. What is h(b) + 12*v(b)? 4*b**2 Let s(f) = -2*f**2 - 9*f - 5. Let r(i) = i + 1. Determine 4*r(a) + s(a). -2*a**2 - 5*a - 1 Let z(a) = 22*a**2 - 7*a + 7. Let i(p) = 11*p**2 + 11*p**2 + 2 - 15*p**2 - 2*p. Calculate 7*i(h) - 2*z(h). 5*h**2 Let a(w) be the first derivative of w**4/4 + w**3/3 - w**2/2 + w - 6. Let s(q) = 3*q**3 + 4*q**2 - 5*q + 5. Determine -4*a(v) + s(v). -v**3 - v + 1 Let h(i) = 6*i**3 + 2*i**2 + 4. Let c(x) = x**3 + x**2 + 1. Determine -4*c(y) + h(y). 2*y**3 - 2*y**2 Let c(x) = -1 + 2 + 8*x**2 - 2 + 2*x. Let o(i) = 17*i**2 + 4*i - 2. Let g be 5*(0 - (-2)/5). Let n be g*13*(-2)/4. Calculate n*c(t) + 6*o(t). -2*t**2 - 2*t + 1 Let d(h) = -51*h**2 + 30*h - 30. Let g(u) = -5*u**2 + 3*u - 3. Let n(f) = -2*d(f) + 21*g(f). Let i(a) = -a**2 + a - 1. Give 10*i(q) - 4*n(q). 2*q**2 - 2*q + 2 Let q(d) = 2. Let s(g) = 1. Let o(z) = -6*q(z) + 13*s(z). Let v(n) = 2*n + 7. Give -5*o(f) + v(f). 2*f + 2 Let z(a) = 8*a**2 + 4*a - 1. Let x(c) = 7*c**2 + 3*c - 1. Give 3*x(f) - 2*z(f). 5*f**2 + f - 1 Let r(h) = -21*h**2 + 31*h + 5. Let n(z) = -4*z**2 + 6*z + 1. Determine 11*n(f) - 2*r(f). -2*f**2 + 4*f + 1 Let n(c) = 2*c**2 + 3*c - 1. Let i be 1/(1 + 2*-1). Let h = 6 + -2. Let o(w) = w - h - 2 + 5. What is i*n(m) + 2*o(m)? -2*m**2 - m - 1 Let m(x) = 4*x**2 - 41*x + 11. Let y(c) = 2*c**2 - 20*c + 5. Give -6*m(h) + 13*y(h). 2*h**2 - 14*h - 1 Let c(d) = 9*d**2 + 17*d - 11. Let h(q) = -7*q - 15. Let p be h(-4). Let r(t) = -4*t**2 - 8*t + 5. Calculate p*r(y) + 6*c(y). 2*y**2 - 2*y - 1 Let r(o) = 1. Let b(j) be the second derivative of -j**3/6 + 5*j**2/2 + j. Let y be ((-1)/1)/(-2 + 3). Give y*b(t) + 6*r(t). t + 1 Let m(f) = 51*f**3 - 27*f + 27. Let q(t) = -4*t**3 + 2*t - 2. What is -2*m(d) - 27*q(d)? 6*d**3 Let a(d) = -1. Let t(w) = -11*w**2 + 44. Determine -44*a(g) - t(g). 11*g**2 Let y(q) = -q**2 - q + 1. Let v(g) = -33*g**2 - 44*g + 44. Let c(i) = v(i) - 44*y(i). Let h(d) = 2*d**2. What is 6*c(w) - 34*h(w)? -2*w**2 Let p(r) = -3*r - 8. Let q(i) = 15*i + 40. Calculate 11*p(a) + 2*q(a). -3*a - 8 Let a(n) = 7*n + 1. Let z(g) = g. What is a(t) - z(t)? 6*t + 1 Let z = 22 + -25. Let u(d) = 9*d**2 - 9*d. Let n(o) = 5*o**2 - 5*o. What is z*u(k) + 5*n(k)? -2*k**2 + 2*k Let w(j) = 3*j**2 + 6*j + 5. Let c be (-16)/(-10)*-2*-5. Let o = -11 + c. Let d(i) = 2*i**2 + 5*i + 4. Determine o*d(q) - 4*w(q). -2*q**2 + q Let m(p) = 15*p + 3 - 6*p - 2*p**2 + p**2. Let q be m(9). Let f(r) = -r**3 + r**2 + 3*r + 3. Let t(a) = -a**3 + 2*a**2 + 5*a + 5. What is q*t(k) - 5*f(k)? 2*k**3 + k**2 Let s(d) = 4*d - 1. Let t(k) = 3*k - 1. Let c(z) = 5*s(z) - 6*t(z). Let r(n) = n. Determine -c(q) + r(q). -q - 1 Suppose 0 = -6*y - 0*y + 18. Let m(k) = -11*k - 8. Let p(w) = -4*w - 3. What is y*m(j) - 8*p(j)? -j Suppose 0*c = -3*c + 12. Suppose c*i = 3*g - 5, 0*g = i - g. Let u(v) = v + 1. Let y(t) = 4*t + 6. Calculate i*u(a) + y(a). -a + 1 Let w(v) = 6*v**2 + 1. Let y(s) be the second derivative of -13*s**4/12 - 3*s**2/2 - 3*s. Calculate -7*w(c) - 3*y(c). -3*c**2 + 2 Let m be ((-17)/(-34))/(2/(-24)). Let p(v) = 7*v**2 + v. Let n(b) = 6*b**2 + b. Determine m*n(h) + 5*p(h). -h**2 - h Suppose -5*j - 55 = -0*j. Let y(r) = 5*r - 2. Let s(a) = 9*a - 4. Let v(b) = -2*b - 2. Let z be v(-4). Give j*y(m) + z*s(m). -m - 2 Let x(j) = 5*j - 4. Let a(n) = 45*n - 35. Let g be 1*-3*1 + (-4)/4. Calculate g*a(p) + 35*x(p). -5*p Let n be 2*-1*(-1 - 1). Suppose -c + 9 = 2*c. Let g(b) = b - 2. Let h(r) = -r + 3. What is c*h(f) + n*g(f)? f + 1 Suppose 42 = 4*c - 2. Let s(b) = -16*b + 6. Let n(p) be the first derivative of -3*p**2/2 + p - 4. What is c*n(q) - 2*s(q)? -q - 1 Let f(t) = 2*t - 1. Let v(p) = 2*p - 2. Let h(c) = c + 10. Let i be h(-13). Determine i*v(z) + 4*f(z). 2*z + 2 Let x(g) = 4*g + 3. Let v = 12 + -10. Let u(j) = -9*j - 7. Let q(t) = 9*t + 7. Let i(z) = 4*q(z) + 3*u(z). Let m be (-1)/(1*2/10). What is m*x(y) + v*i(y)? -2*y - 1 Let c(s) = -s + 1. Suppose -3*k + 4 = -y, k - y = -4*y - 2. Let r(p) = 0*p - k - 2*p - 3*p + 5. Determine -4*c(j) + r(j). -j Let v(p) = -p**3 - 3*p**2 - 3*p + 2. Let k(y) = 2*y**3 + 7*y**2 + 5*y - 5. Determine 6*k(x) + 14*v(x). -2*x**3 - 12*x - 2 Let a be 91/(-21) + 2/6. Suppose l - 1 + 11 = 0. Let j(h) be the first derivative of h**3 - 2*h + 3. Let k(f) = -f**2 + 1. What is a*j(g) + l*k(g)? -2*g**2 - 2 Let k(a) = 1. Let c(p) = -p**2 - p + 1. Determine -c(d) + 6*k(d). d**2 + d + 5 Let b(p) = 4*p - 17. Let v(f) = 5*f - 18. Determine -3*b(r) + 2*v(r). -2*r + 15 Let k(p) = 30*p**3 - 15. Let l(z) = 1. What is -k(v) - 15*l(v)? -30*v**3 Let o(l) = -l**2 + l - 2. Let x(q) = -q**2 - q - 1. Calculate o(f) - 2*x(f). f**2 + 3*f Let g(i) = -3 + 11*i**3 - 3*i**2 + 4*i**3 + 7*i**3 - 3*i - 19*i**3. Let y(m) be the first derivative of m**3/3 + m**2/2 + m + 6. What is g(s) + 3*y(s)? 3*s**3 Let o(h) = 1. Let g(i) = i - 1. Suppose -6*a = 13 + 5. Calculate a*g(w) - 5*o(w). -3*w - 2 Let w(a) = -4*a. Let i(x) = -2*x. Let c be 37/7 + (-8)/28. Suppose -g + 28 = 30. Calculate c*i(s) + g*w(s). -2*s Let k(r) = r**2 - 34*r - 2. Let f(n) = -n - 1. Determine -2*f(l) + k(l). l**2 - 32*l Let p be (-30)/8 + ((-51)/12 - -4). Let b(w) = 2*w**2 - 3*w - 1. Let m(f) = -5*f**2 + 8*f + 3. Calculate p*m(t) - 11*b(t). -2*t**2 + t - 1 Let p(o) = -8*o**2 - 9*o - 1. Let w(s) = 12*s**2 + 14*s + 2. Let x(d) = -8*p(d) - 5*w(d). Let m(j) = 9*j**2 + 5*j - 4. Let y = 0 + 3. Give y*m(k) - 7*x(k). -k**2 + k + 2 Let j(c) = -5*c + 8. Let i(q) = -2*q + 3. Suppose 5*h - 18 = -x - 4, 4*h = x + 13. Let u = -12 - -4. Calcu
{ "pile_set_name": "DM Mathematics" }