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= 2*q**2 - 31*q. Let r(w) = -919*w**2. Calculate f(r(y)). 1689122*y**4 + 28489*y**2 Let s(q) = 6*q**2 + 563*q. Let c(k) = k - 11. Calculate c(s(g)). 6*g**2 + 563*g - 11 Let d(i) = -38*i - 5*i - 4*i - 16*i + 28*i. Let c(g) = -11*g**2. What is c(d(p))? -13475*p**2 Let k be 32/(-8) + (2 - 1). Let b(t) = -14*t**2 + 8. Let h(c) = 5*c**2 - 3. Let z(a) = k*b(a) - 8*h(a). Let i(v) = -151*v**2. What is z(i(s))? 45602*s**4 Let j(c) = -2*c**2. Let t(n) be the second derivative of -n**4/3 + 4*n**3/3 + 2*n - 12. Determine j(t(o)). -32*o**4 + 128*o**3 - 128*o**2 Let z(r) = 3*r**2. Let l(q) = 118455*q - 4023. Let o(d) = -442*d + 15. Let k(c) = -5*l(c) - 1341*o(c). Determine k(z(v)). 1341*v**2 Let h(c) = -384*c**2 + c - 2. Let p(v) = -9*v. Calculate p(h(t)). 3456*t**2 - 9*t + 18 Let f(h) = 129*h**2. Let t(y) = 8*y + 10. What is f(t(z))? 8256*z**2 + 20640*z + 12900 Let j(s) = 2*s**2. Let c(d) = -154*d**2 - 6*d + 6. Let h(g) = 925*g**2 + 35*g - 35. Let n(b) = 35*c(b) + 6*h(b). Give n(j(f)). 640*f**4 Suppose 8 + 7 = 5*p - 3*b, 0 = 4*p - 4*b - 20. Suppose 56 - 8 = 4*j. Let q(c) = -j + c + 12 + p*c. Let y(r) = -6*r**2. What is q(y(g))? -6*g**2 Let v(u) = -10*u**2 + 2. Let z(d) = 70*d**2 - 15. Let b(o) = -15*v(o) - 2*z(o). Let y(x) = -7*x**2. Determine y(b(k)). -700*k**4 Let y(k) = 4*k**2. Let w(v) = -169*v - 56. Let l(n) = 11660*n + 3850. Let g(b) = -4*l(b) - 275*w(b). Determine g(y(o)). -660*o**2 Let r(j) = -j**2 + 7*j + 18. Let l be r(9). Let o(m) be the third derivative of 0*m + l + 0*m**3 - 1/24*m**4 - m**2. Let c(h) = -5*h. Give o(c(u)). 5*u Let h(g) = -g**2. Let d(c) = 321577*c**2. Determine d(h(s)). 321577*s**4 Let r be 4/(-6)*(-108)/432. Let z(h) be the third derivative of 0*h**3 + r*h**4 + 0 + 0*h + 7*h**2. Let u(q) = -4*q**2. Calculate u(z(s)). -64*s**2 Let z(u) = u**3 + 6*u**2 + 5*u. Let s be z(-5). Let l(f) = 0*f**2 + f**2 + f**2 + s*f**2. Let h(c) = c. What is l(h(k))? 2*k**2 Let h(l) = 2*l. Let f(v) be the second derivative of -v**3/6 + 53*v**2/2 - 469*v. Calculate h(f(w)). -2*w + 106 Let q(a) be the second derivative of -13*a**4/12 - a. Let p(u) be the first derivative of 0*u**2 + 0*u + 1/3*u**3 + 39. What is q(p(d))? -13*d**4 Let j(z) = -z. Let o(i) = 2193926*i**2. Determine j(o(q)). -2193926*q**2 Let o(n) = -3*n**2. Suppose 8 = 51*f - 53*f. Let c(r) = -3*r**2 - 4. Let i(y) = -15*y**2 - 21. Let p(j) = f*i(j) + 21*c(j). Determine o(p(m)). -27*m**4 Let g(v) = 41*v**2. Let z(c) be the third derivative of -1/12*c**4 + 0*c + 29 + c**2 + 0*c**3. Determine z(g(i)). -82*i**2 Let k(m) be the first derivative of 3*m**3 - 1. Let c(n) = -9*n + 10*n + 0*n - 4*n. What is c(k(y))? -27*y**2 Let y(v) = -2*v + 1579 - 2*v - 1579 + 3*v. Let s(w) = -w**2 - 130*w. Determine s(y(d)). -d**2 + 130*d Let s(i) = -23*i**2. Let d(a) = -2143*a**2 - 2. Determine d(s(u)). -1133647*u**4 - 2 Let p(a) = 8963*a**2 - 5*a. Let u(c) = -4*c**2. Give p(u(v)). 143408*v**4 + 20*v**2 Let k(l) = -2*l**2 - 4*l - 4. Let n(q) = 2*q**2 + 3*q + 3. Let s(p) = 3*k(p) + 4*n(p). Let h(i) = -315*i. Calculate s(h(v)). 198450*v**2 Let w(t) = -t. Let g(d) be the second derivative of -d**5/20 - 5*d**2/2 - 11*d. Let r(o) be the first derivative of g(o). Give w(r(q)). 3*q**2 Let n(l) = 3*l**2. Let x(i) be the first derivative of -i**2 + 59*i + 523. Determine n(x(t)). 12*t**2 - 708*t + 10443 Let s(d) = -18151*d. Let y(p) = -43*p. What is s(y(z))? 780493*z Let v(p) = -13*p**2. Let y = 992 - -188. Let b(m) = m**2 + 1180 - y. Give v(b(h)). -13*h**4 Let n(z) = -3*z**2. Let s(k) = 3*k**2 + 7*k + 24166. What is s(n(f))? 27*f**4 - 21*f**2 + 24166 Let b be 2 + 16/(-9) - 14/(-18). Let f(u) = -5*u**2 + u**2 + b - 1. Let n(w) = 8*w**2. Give f(n(k)). -256*k**4 Let u(z) be the second derivative of 11*z**3/6 + 2*z. Let q(r) = 12*r. Let t(p) = -5*q(p) + 6*u(p). Let n(w) be the first derivative of w**2 - 10. Give t(n(m)). 12*m Let d(b) be the second derivative of b**3/2 + b. Let j(o) = -19*o**2 + 26*o + 26. Let t(a) = 9*a**2 - 12*a - 12. Let k(r) = -6*j(r) - 13*t(r). Give k(d(n)). -27*n**2 Let g(y) be the third derivative of y**4/3 - 3*y**2 - 37*y. Let b(f) = 86*f. Give b(g(i)). 688*i Let c(p) = 30*p. Let y(o) = 20283*o - 2. Determine y(c(n)). 608490*n - 2 Let h(j) = 40*j. Let a(y) = -56*y**2 - 2*y. Calculate h(a(d)). -2240*d**2 - 80*d Let v(w) = 25*w + 2. Let d(q) = 401*q**2. Determine v(d(z)). 10025*z**2 + 2 Let t(l) = -7 + 15 + 14*l**2 - 8 - 10*l**2. Let j(p) = -22*p. Calculate t(j(o)). 1936*o**2 Let o(y) = -6*y + 20. Let a(v) = -v. What is o(a(s))? 6*s + 20 Let k(a) = 3*a + 11 - 4 + 0 - 7. Let w(r) = -24*r - 22*r**2 + 45*r - 21*r. Determine k(w(q)). -66*q**2 Let q(a) = -2*a**2 - 2603844*a + 2. Let s(v) = v. Give q(s(b)). -2*b**2 - 2603844*b + 2 Let y(c) = c. Let k(a) be the third derivative of -a**7/630 - a**6/80 - a**4/24 - 34*a**2. Let q(b) be the second derivative of k(b). Give q(y(v)). -4*v**2 - 9*v Let f(l) = 1528660*l. Let b(g) = 2*g**2. What is f(b(u))? 3057320*u**2 Let d(k) = 0 - 2*k**2 + 0. Let z(y) = 4*y - 7*y + 5*y + 18*y. Calculate d(z(j)). -800*j**2 Let l(i) = -11*i**3 + 16*i**2 + 6*i**3 + 18*i + 21 + 4*i**3. Let a be l(17). Let y(c) = a*c - 20*c - 19*c. Let g(k) = -11*k. Give y(g(z)). 11*z Let m(p) = 0 + 0 + 2*p. Let g(c) be the first derivative of 10*c**3/3 - 22. What is m(g(v))? 20*v**2 Let k(b) = 8*b**2. Let o(i) = 144595*i. Calculate o(k(r)). 1156760*r**2 Let r(l) be the second derivative of -l**4/6 - 7*l. Let n(t) = 32*t + 17*t - 60*t. Calculate r(n(b)). -242*b**2 Let s(x) = -10*x**2. Let f(a) = 4*a. Suppose -j + 5*h = -6, -2*j = -6*j - 3*h + 24. Let l(c) = -15*c. Let r(k) = j*l(k) + 22*f(k). Determine s(r(t)). -40*t**2 Suppose 16*h = 14*h + 410. Let r(g) = 204*g - 1 - h*g + 1. Let u(a) = 8*a**2. Determine r(u(v)). -8*v**2 Let k(v) = -7*v. Let o(r) = -22*r**2 + 4*r - 204. Give o(k(n)). -1078*n**2 - 28*n - 204 Let p(b) = b**2. Let j(u) = -77 - 28*u**2 + 0*u**2 - 82 - 54*u**2 + 154. What is p(j(m))? 6724*m**4 + 820*m**2 + 25 Let o(d) = -4*d**2. Let a(u) = -u - 1. Let z be a(-5). Suppose -3*b = z*q, 4*q + 3*b - 6*b - 24 = 0. Let j(g) = -q*g - 3 + 4*g + 3. Calculate o(j(c)). -4*c**2 Let b(s) = -2*s. Let z(q) = q. Let k(c) = -4*b(c) - 10*z(c). Let r(x) = -19*x. Let o(l) = 15*l. Let d(u) = -6*o(u) - 5*r(u). Calculate d(k(j)). -10*j Let w(s) be the second derivative of 0 + 41*s + 5/6*s**3 + 0*s**2. Let n(k) = -4*k**2. What is n(w(u))? -100*u**2 Let n(i) = -i**2 + 4*i + 5. Let f be n(4). Let k(u) = -13*u**2 + 7*u**2 - f*u**2. Let h(b) = -b. Calculate k(h(w)). -11*w**2 Let d(m) = 3*m**2. Let n(q) = 2424 + 6*q**2 - 2424. Determine n(d(k)). 54*k**4 Let i(u) = 3*u. Let a be 18/8 + (-7)/28. Suppose -a = -2*g, -g + 5 = 2*c - 0. Let y(r) = 0*r**2 + 7*r**c - 6*r**2. What is i(y(s))? 3*s**2 Let t(g) = 21*g**2. Let w(v) be the second derivative of v**4/2 + 2*v - 216. Calculate t(w(o)). 756*o**4 Let t(c) = c. Let o(h) = -30650*h. Calculate o(t(m)). -30650*m Let z(i) = 2*i + 9971. Let r(v) = v**2. Give z(r(g)). 2*g**2 + 9971 Let d(h) = -17*h - 10. Let k(s) = -3*s - 2. Let x(f) = d(f) - 5*k(f). Let u(t) = -7*t**2 - t**2 - t**2. Calculate x(u(y)). 18*y**2 Let r(o) be the third derivative of -31*o**4/24 - o**2. Let z(t) be the first derivative of t**2/2 + 308. Determine r(z(v)). -31*v Let s(z) = z**2 + 97*z. Let t(c) = 1831*c. Give t(s(m)). 1831*m**2 + 177607*m Let i(b) be the third derivative of -b**4/12 - 8*b**3/3 - 2*b**2 + 29*b. Let m(o) = -4*o**2. Give i(m(c)). 8*c**2 - 16 Let y(j) be the second derivative of 5*j**4 - 290*j. Let g(w) = 6*w**2. Calculate g(y(r)). 21600*r**4 Let l(p) = -4*p**2 + 3*p**2 + 15*p**2 + 4*p**2 - 20*p**2. Let v(r) = -915*r**2. Give v(l(x)). -3660*x**4 Let m(l) = -12*l. Let j(z) be the first derivative of -z**4/6 - 12*z + 12. Let f(h) be the first derivative of j(h). What is f(m(w))? -288*w**2 Let o(q) = -q. Let z(i) = -15*i**2 + 47*i**2 + 80*i**2. Determine o(z(m)). -112*m**2 Let k(g) = 2*g - 3. Let d(z) = 17*z - 3. Let x(c) = -d(c) + k(c). Let f(t) = -t - 15. Let v(h) = 3. Let a(n) = -3*f(n) - 15*v(n). Calculate a(x(q)). -45*q Let d(l) = 165*l**2. Let a(b) = 323*b. Determine a(d(q)). 53295*q**2 Let o(p) = 260*p. Let n(f) = -2*f + 10. What is o(n(v))? -520*v + 2600 Let b(i) = 8*i + 48. Let w(h) = -3. Let u(x) = b(x) + 16*w(x). Let s(a) = 1. Let d(v) = -v - 9. Let t = 2 + 0. Let j(g) = t*d(g
{ "pile_set_name": "DM Mathematics" }
0. Suppose -4*m = -p*s - 64, -3*m = -s - 0 - 36. Let c be (0 - -3)/((-9)/s). What is c rounded to the nearest 10? 10 Let i = 0 - -16. Let g be (-34)/(-8) - 4/i. Suppose -4*b + 880004 = -t + 3*t, -g*t - 3*b + 1760003 = 0. Round t to the nearest 100000. 400000 Let f(t) = 141*t - 8. Suppose 4*b + 3*c = 26, -44 = -5*b + 2*c - 0*c. Let n be f(b). What is n rounded to the nearest 100? 1100 Let w = 0.12 + -1.16. Let p = 1.04047 + w. What is p rounded to 4 dps? 0.0005 Suppose b + 2 = -0. Let x be b/(-4) + 601990/4. Let p = -490498 + x. What is p rounded to the nearest one hundred thousand? -300000 Let a = -0.2187 + 0.231. What is a rounded to three decimal places? 0.012 Let m = -2 + 2.14. Round m to one decimal place. 0.1 Let d = 0.3114378 + -0.31843. Let l = -0.007 - d. Round l to six dps. -0.000008 Let u = -45543590000537.3999946 + 45544154901982.4. Let i = u - 564901382. Let x = i - 63. What is x rounded to 6 dps? 0.000005 Let p = -126.898 + 127. Round p to 2 dps. 0.1 Let y = -13.7 - 0.3. Let m = -14.0000012 - y. What is m rounded to six decimal places? -0.000001 Let u = -181.137276 - -150.13725. Let j = -100 + 69. Let y = u - j. What is y rounded to 5 decimal places? -0.00003 Let j = 49.00000015 - 49. What is j rounded to seven decimal places? 0.0000002 Let h = 0.5 - 0.604. Round h to two dps. -0.1 Let l = -39.3 - -6.8. Let i = l - -38.66. Let n = i + 0.34. Round n to 0 decimal places. 7 Let b = -48 + 47.99943. What is b rounded to four dps? -0.0006 Let n = 27 + 2653. Round n to the nearest 1000. 3000 Let t = -0.07309 - -0.0768. What is t rounded to 3 dps? 0.004 Let z(h) = 425*h**3 + 11*h**2 + 8*h + 6. Let m be z(-9). What is m rounded to the nearest 10000? -310000 Let c(l) be the second derivative of 2*l - 3*l**2 + 1/6*l**4 - 8889/4*l**5 + 3/2*l**3 + 0. Let x be c(6). What is x rounded to the nearest one million? -10000000 Let g = 980 - 989.62. Let c = -0.18 + g. Round c to the nearest integer. -10 Let z = 200 - 195.95. Round z to 0 dps. 4 Let h = -570438 - 429562. What is h rounded to the nearest 100000? -1000000 Let j = 4 - 5. Let v = -0.9999937 - j. What is v rounded to six decimal places? 0.000006 Let h = -28.7 - -13.4. What is h rounded to the nearest ten? -20 Let y = 5690.1337 + -0.1337. Let a = -5687.00025 + y. Let o = a + -3. What is o rounded to 4 dps? -0.0003 Let w = -0.014021 + -0.01598. Let j = -0.67 + 0.7. Let m = w + j. What is m rounded to five decimal places? 0 Suppose -5*b = 4095 + 2405. Round b to the nearest 1000. -1000 Let p = 1.1099765 + -1.11. What is p rounded to five dps? -0.00002 Let w = -7.99999982 - -8. What is w rounded to seven decimal places? 0.0000002 Suppose 4*m + 13 - 5 = 0. Let q be (20580 - -5) + -1 + m. Suppose -5*o - 10918 = q. Round o to the nearest 1000. -6000 Let m = -0.552 + 0.012. Let g = -0.96 - m. What is g rounded to one dp? -0.4 Let w = 1.61 + -3.04. Let g = 1.43171 + w. What is g rounded to 4 decimal places? 0.0017 Let z = -29.99875921605993 - 16894891.70124021394007. Let o = 16894795.7 + z. Let j = -126 - o. Round j to 7 dps. -0.0000006 Let j = 5.32 - 232.32. Let q = j - -227.0109. Round q to three dps. 0.011 Suppose 0 = x + 3*o + 3, o = 5*x - 1 - 0. Let w be x + 2 + -9404 + 2. Round w to the nearest one thousand. -9000 Let t = 15 + 1. Let s be t/6 - 3/(-9). Suppose j = -g + s*j - 49, 0 = 5*g - 4*j + 275. What is g rounded to the nearest 10? -60 Let q = 0.46 + -10.26. Let z = q + 29.3. What is z rounded to the nearest integer? 20 Let d = -81.05 + 0.05. Let g = d + 81.86. What is g rounded to 1 dp? 0.9 Let x = 487162.0082 - 487240. Let l = -78 - x. What is l rounded to 3 dps? -0.008 Let g = -5.8 + 0.8. Let t = g + 0. Let k = -5.055 - t. Round k to 2 decimal places. -0.06 Let u = -40247.5 - -40247.5900005. Let q = u + -0.09. What is q rounded to 7 decimal places? 0.0000005 Let i = 48 + -64.5. Let t = -15 - i. What is t rounded to 0 decimal places? 2 Let c = -0.503 + 0.5. What is c rounded to 2 dps? 0 Let g = -11.7 - -1.7. Let k = 10.000002 + g. Round k to 5 dps. 0 Let s = 75 - 116. Let p = -42.27 - s. What is p rounded to one decimal place? -1.3 Let u = 22.964 + -23. What is u rounded to 2 decimal places? -0.04 Let q = -1.3 + 0. Let v = 1.52 + q. What is v rounded to one dp? 0.2 Let l = 7 + -10. Let t be -1 - (l - -2) - -2. Suppose t*f - 7*f = -215000. What is f rounded to the nearest 10000? 40000 Suppose -m + 4*q + 144 = 4*m, 5*m = 5*q + 145. Suppose 188 = -2*b + m. What is b rounded to the nearest one hundred? -100 Let f be (-1)/(3 - (-42)/(-15)). Let o(d) = 15599*d - 5. Let r be o(f). What is r rounded to the nearest ten thousand? -80000 Let n = 52 - 52.00065. What is n rounded to 4 decimal places? -0.0007 Suppose -2*v + 5*b = v - 202, 0 = 5*b - 20. Suppose -4*y = y - 3*i - v, -4*y + 58 = -2*i. What is y rounded to the nearest 10? 10 Let b be (-2 - -1)*-5101 + -1. Round b to the nearest 1000. 5000 Let s = -7 - -1. Let q = s + 6.000003. Round q to 5 dps. 0 Let o = 69.4 + -62. Let v = o - 6.51. Let d = 4.79 - v. What is d rounded to 0 dps? 4 Let o be 19460/9 + (-2)/9. Let a(c) = c**3 - 6*c**2 + 6*c. Let y be a(4). Let x be o/(-4) - 4/y. What is x rounded to the nearest one hundred? -500 Suppose 0 = -5*g - 2*i - 250002, -4*i + 249996 = 2*g - 7*g. What is g rounded to the nearest one hundred thousand? -100000 Let u = -62 + 62.00057. What is u rounded to 4 decimal places? 0.0006 Let f be 6/4 - (-299994)/4. What is f rounded to the nearest 10000? 80000 Let c = 29610192 - 15010207. Suppose 0 = -0*r - r - c. Let p be r/20 + 6/(-8). What is p rounded to the nearest 100000? -700000 Suppose -s = -2 - 1. Let m(o) = o**2 - 2*o + 2. Let y be m(s). Let a be -43003 + (y + -2)*1. Round a to the nearest 10000. -40000 Suppose -9*b + 11*b - 7900000 = 0. What is b rounded to the nearest one hundred thousand? 4000000 Suppose -4*a - 96315 = -a. Let x = -54099 - a. Let t = 11994 + x. Round t to the nearest one thousand. -10000 Let d = 0.71 - 0.06. What is d rounded to one decimal place? 0.7 Let r = 5.6 + -0.7. Let g = 4.90000114 - r. What is g rounded to seven dps? 0.0000011 Let a = -574 - -575.215. Let m = a + -1.2. What is m rounded to 2 decimal places? 0.02 Let b = 156 - 78. Let r = -80.04 + -7.76. Let n = r + b. What is n rounded to 0 dps? -10 Suppose t - 2*t + 2 = 0. Let s be 12 - 13 - t*-1. What is s rounded to 1 dp? 1 Let y be (-1 + 0)*(0 - 5). Suppose 6 - 1 = -y*n + i, -4*i = -n - 1. Round n to the nearest integer. -1 Let j = 242.6 - 198. Let m = j - 32. What is m rounded to the nearest integer? 13 Let b = -204 - -146. Let f = b - -57.9773. What is f rounded to three dps? -0.023 Let x = -4 - -9. Suppose 0 = 3*v + 3*j - 54, 117 = 2*v + 2*v - x*j. Round v to the nearest ten. 20 Let h = 81319 + -81313.99986. Let g = h + -5. What is g rounded to four dps? 0.0001 Let r = 271 - 240.1. What is r rounded to the nearest integer? 31 Let b = -0.85 - -24.65. What is b rounded to the nearest integer? 24 Let f = -0.45999918 + 0.46. Round f to 7 decimal places. 0.0000008 Let v = 128212206.0000026 - 128212190. Let o = v + -16. Round o to 6 decimal places. 0.000003 Let v = -0.15 - -0.07. Let w = v + 0.080051. What is w rounded to 5 decimal places? 0.00005 Suppose 0*p + p = -702. Let l = 127 - -1045. Let z = p + l. Round z to the nearest 100. 500 Let k be 5 - (0 + (2 - 0)). Suppose -4*t - 2*q = q + 11600000, 2*t = -k*q - 5800000. What is t rounded to the nearest one million? -3000000 Let m = -223.0000133 - -223. What is m rounded to six decimal places? -0.000013 Suppose 0 = -2*o + 3*o. Let q be 9/2 + (-3)/(-6). Suppose o*m = -q*m + 5750. What is m rounded to the nearest one hundred? 1200 Let r(x) = 1327*x**2 + 9*x + 6. Let y be r(11). Let u = -99672 + y. Round u to the nearest ten thousand. 60000 Let p = -1166 + 1156.14. Let s = p - -10. Let m = s + -0.212. What is m rounded to two dps? -0.07 Let k = -11.6 - -11.737. What is k rounded to 1 dp? 0.1 Let i = 203.49 + -202. Round i to one dp. 1.5 Let k be (2617181 - -2) + (3 - 0). Suppose -917186 + k = -o. What is o rounded to the nearest one million? -2000000 Let n = -2.522 + 2.28. What is n rounded to 2 decimal places? -0.24 Let o = 64283 - -1243435. Let p be (-5)/(-1) - 0/(-2). Suppose -p*k = -o - 2342282. Round k to the nearest one hundred thousand. 700000 Let z = -14.986 + 15
{ "pile_set_name": "DM Mathematics" }
uch that -a**5 - 627*a**4 + 1265*a**3 + 4407*a**2 + 2516*a = 0. -629, -1, 0, 4 Solve 5*u**3/6 + 103*u**2/3 - 375*u/2 + 231 = 0. -231/5, 2, 3 Factor 3*z**2 - 103617*z + 207222. 3*(z - 34537)*(z - 2) Solve v**3/3 - 8837*v**2/3 - 230269*v/3 - 1497847/3 = 0. -13, 8863 Solve 4*d**4 - 1100*d**3 + 5416*d**2 - 4320*d = 0 for d. 0, 1, 4, 270 Factor -f**4 + 94*f**3 - 363*f**2 + 270*f. -f*(f - 90)*(f - 3)*(f - 1) Factor -2*q**2/5 - 1338*q/5 + 17732/5. -2*(q - 13)*(q + 682)/5 Let -4*h**2/7 + 444608*h/7 - 12354767104/7 = 0. Calculate h. 55576 Determine y, given that -8815*y**2 + 35250*y + 40 = 0. -2/1763, 4 Determine w, given that 3*w**2 - 124962*w + 1374219 = 0. 11, 41643 What is j in j**5/10 - 3*j**4/5 - 197*j**3/10 + 309*j**2/5 - 208*j/5 = 0? -13, 0, 1, 2, 16 Find l, given that 10*l**5/7 - 314*l**4/7 + 2554*l**3/7 - 746*l**2 - 5300*l/7 + 400 = 0. -1, 2/5, 5, 7, 20 Factor 2*c**5 + 18*c**4 + 46*c**3 + 6*c**2 - 72*c. 2*c*(c - 1)*(c + 3)**2*(c + 4) Find s, given that -4*s**2 - 1539096*s = 0. -384774, 0 Let -o**2/3 + 626354*o/3 - 98079833329/3 = 0. What is o? 313177 Factor 27500*z**3 + 11150*z**2/3 + 149*z + 3/2. (50*z + 3)**2*(66*z + 1)/6 Determine o, given that 249*o**2/4 - 2595*o/4 + 1491 = 0. 284/83, 7 Factor s**3 + 233*s**2 + 1816*s + 3600. (s + 4)**2*(s + 225) Find d, given that -2*d**2 - 1773964*d - 393368534162 = 0. -443491 Find l, given that -3*l**5/2 - 105*l**4 + 984*l**3 + 12177*l**2 - 205821*l/2 = 0. -77, -11, 0, 9 Suppose 3*o**5 + 3219*o**4 - 171825*o**3 + 165381*o**2 + 171822*o - 168600 = 0. What is o? -1124, -1, 1, 50 Suppose -16*o**3 - 441448*o**2 - 220721*o - 27590 = 0. Calculate o. -27590, -1/4 Determine a so that 244*a**3 - 612*a**2 - 17440*a - 8400 = 0. -7, -30/61, 10 Let -3*q**5 - 1164*q**4 - 114048*q**3 - 217686*q**2 + 565683*q + 670482 = 0. Calculate q. -193, -3, -1, 2 Let 3*k**5 + 63*k**4 - 306*k**3 - 13938*k**2 - 82017*k - 68445 = 0. What is k? -13, -9, -1, 15 Factor 300763*h**5/5 + 49953592*h**4/5 + 4471848*h**3/5 + 133472*h**2/5 + 1328*h/5. h*(h + 166)*(67*h + 2)**3/5 Determine j so that -5*j**5 - 190*j**4 - 535*j**3 - 350*j**2 = 0. -35, -2, -1, 0 Factor p**4/6 + 11*p**3 - 141*p**2/2 + 108*p. p*(p - 3)**2*(p + 72)/6 Suppose 3*t**5 - 6*t**4 - 495*t**3 - 1362*t**2 + 60*t + 1800 = 0. What is t? -10, -2, 1, 15 Factor 2*a**3/19 - 382*a**2/19 + 3638*a/19 - 3258/19. 2*(a - 181)*(a - 9)*(a - 1)/19 Factor v**3 - 176*v**2 + 3604*v + 404496. (v - 106)**2*(v + 36) Factor -2*u**2/15 + 478*u/5 - 1988/3. -2*(u - 710)*(u - 7)/15 Factor -14018*j**2/5 + 126166*j/5 - 36/5. -2*(j - 9)*(7009*j - 2)/5 Factor 3*r**3/4 + 2331*r**2/2 + 1829691*r/4 + 3585174. 3*(r + 8)*(r + 773)**2/4 Factor -62*g**2/5 + 228*g/5 + 82. -2*(g - 5)*(31*g + 41)/5 What is u in -2*u**4/11 + 13120*u**3/11 - 13116*u**2/11 - 13120*u/11 + 13118/11 = 0? -1, 1, 6559 Factor 5*k**3/6 - 1595*k**2/6 + 2345*k/3 + 7900/3. 5*(k - 316)*(k - 5)*(k + 2)/6 Factor -95*s**3 + 695*s**2 + 550*s - 240. -5*(s - 8)*(s + 1)*(19*s - 6) Factor z**2/5 - 84917*z/5 - 50952. (z - 84920)*(z + 3)/5 Factor 5*f**3 - 12715*f**2 + 8051680*f + 40576900. 5*(f - 1274)**2*(f + 5) Factor t**3 - 11864*t**2 + 35188624*t. t*(t - 5932)**2 Find v, given that -v**3/4 - 17635*v**2/2 - 35269*v/4 = 0. -35269, -1, 0 Determine b so that 2*b**3/19 - 14*b**2 + 1640*b/19 + 45000/19 = 0. -10, 18, 125 Factor 3*f**4/5 + 228231*f**3/5 + 868179312*f**2 + 4340668332*f/5. 3*f*(f + 1)*(f + 38038)**2/5 Determine w so that 2*w**4/13 + 1592*w**3/13 + 4756*w**2/13 - 1592*w/13 - 366 = 0. -793, -3, -1, 1 Solve -4*q**3/7 + 15468*q**2/7 - 15114780*q/7 + 44375148 = 0. 21, 1923 Let -d**3/3 - 131*d**2/3 + 3172*d/3 - 3040/3 = 0. Calculate d. -152, 1, 20 Suppose -3*j**3 + 2229*j**2 + 11238*j - 13464 = 0. What is j? -6, 1, 748 Suppose -2*p**2 - 237670*p + 1901488 = 0. Calculate p. -118843, 8 Factor -755*z**3 - 1511*z**2/2 - z/2. -z*(z + 1)*(1510*z + 1)/2 Solve 84*u**2 - 31904*u + 63472 = 0. 2, 7934/21 Factor -u**3/11 - 570*u**2/11 + 3447*u/11 - 5184/11. -(u - 3)**2*(u + 576)/11 Find q such that 2*q**5/9 + 40*q**4/3 + 1436*q**3/9 + 1280*q**2/3 - 1438*q/9 - 440 = 0. -45, -11, -4, -1, 1 Let -3*i**4/7 - 4608*i**3/7 - 3924*i**2 + 110352*i/7 + 293760/7 = 0. What is i? -1530, -8, -2, 4 Determine p so that 149*p**4/3 + 547*p**3 - 7989*p**2 - 25801*p/3 - 114 = 0. -19, -1, -2/149, 9 Let 4*j**5/3 - 200*j**4 - 6556*j**3/3 + 24976*j**2/3 - 784*j - 33280/3 = 0. Calculate j. -13, -1, 2, 160 What is s in 5*s**2 + 17995*s = 0? -3599, 0 Suppose -2*f**3/3 - 172*f**2/3 + 2128*f = 0. What is f? -114, 0, 28 Let 28*u**5 + 11236*u**4 - 42012*u**3 + 43724*u**2 - 6496*u - 6480 = 0. What is u? -405, -2/7, 1, 2 Suppose 11*y**2 - 553*y + 686 = 0. Calculate y. 14/11, 49 Find d such that -20*d**3 - 57180*d**2 - 40869405*d = 0. -2859/2, 0 Let -2*h**4 - 260*h**3 + 1350*h**2 = 0. Calculate h. -135, 0, 5 Let 2*z**2 + 66316*z = 0. Calculate z. -33158, 0 Factor 238050*g**2/7 - 11040*g/7 + 128/7. 2*(345*g - 8)**2/7 Let -10*q**4 - 1510*q**3 + 34335*q**2/2 + 173950*q + 670565/2 = 0. What is q? -161, -7/2, 17 Factor 3*q**3 - 918*q**2 + 49536*q - 743424. 3*(q - 242)*(q - 32)**2 Factor 4*r**4 - 3336*r**3 + 692176*r**2 + 1424544*r - 5591168. 4*(r - 418)**2*(r - 2)*(r + 4) Factor d**2 + 46713*d + 93422. (d + 2)*(d + 46711) Find q such that -4*q**2 - 5984296*q - 2238237413476 = 0. -748037 Find b such that -2*b**3 - 86*b**2 + 2*b + 86 = 0. -43, -1, 1 Factor -o**4/4 - 39510*o**3 - 4162852617*o**2/2 - 36553314784052*o - 438564850328517/4. -(o + 3)*(o + 52679)**3/4 Suppose -z**3/4 - 16165*z**2/2 - 32327*z/4 + 32329/2 = 0. Calculate z. -32329, -2, 1 Determine f, given that -52*f**3/9 + 56*f**2/3 + 28*f/9 - 64/3 = 0. -1, 16/13, 3 Find h such that -h**4/4 - 217*h**3/2 - 216*h**2 = 0. -432, -2, 0 Let -13*o**3 - 2455*o**2 + 10414*o - 1544 = 0. Calculate o. -193, 2/13, 4 What is b in -55*b**3/2 - 4690*b**2 - 98910*b - 52560 = 0? -146, -24, -6/11 Factor -227*o**2/2 - 32235*o/4 - 71/4. -(o + 71)*(454*o + 1)/4 Determine b so that b**4/10 + 109*b**3/5 - 21*b**2/10 - 2279*b/5 + 436 = 0. -218, -5, 1, 4 Solve 165*u**3/4 + 635*u**2/2 + 405*u/4 = 0 for u. -81/11, -1/3, 0 Suppose -820*p**5 - 3493*p**4 - 1674*p**3 + 4699*p**2 + 1276*p + 12 = 0. Calculate p. -3, -2, -1/4, -2/205, 1 Let -54*d**2/11 - 592*d/11 + 2 = 0. Calculate d. -11, 1/27 Determine i so that 18*i**4/11 - 18032892*i**3/11 + 4516455015194*i**2/11 + 3010976021096*i/11 + 501829670792/11 = 0. -1/3, 500914 Factor -i**3/8 + 110025*i**2/4. -i**2*(i - 220050)/8 Solve 2*d**4/13 + 3374*d**3/13 + 106144*d**2 - 36636800*d/13 = 0 for d. -856, 0, 25 Factor -4*r**4 + 4768*r**3 - 1420864*r**2. -4*r**2*(r - 596)**2 Factor d**3/6 - 341*d**2/2 + 6107*d/6 - 1695/2. (d - 1017)*(d - 5)*(d - 1)/6 Let -14*q**2/3 - 50*q + 1800 = 0. What is q? -180/7, 15 Solve 5*k**2 - 1330*k + 37440 = 0 for k. 32, 234 What is a in 164738*a**3 + 165312*a**2 + 1149*a/2 + 1/2 = 0? -1, -1/574 Find h, given that -h**2 + 1929*h + 11610 = 0. -6, 1935 Factor -2*x**3 - 1268*x**2 - 199704*x + 404496. -2*(x - 2)*(x + 318)**2 Solve 2*z**4 + 2234*z**3 - 8958*z**2 + 11206*z - 4484 = 0 for z. -1121, 1, 2 Determine u so that 48*u**4/11 + 5378*u**3/11 - 10854*u**2/11 - 15768*u/11 - 4104/11 = 0. -114, -2/3, -3/8, 3 Solve -5*a**3/2 + 169015*a**2/2 - 1428049955*a/2 - 4285671135/2 = 0. -3, 16903 Determine l so that -169280*l**5 + 460000*l**4 - 273860*l**3 + 65260*l**2 - 6725*l + 250 = 0. 5/46, 1/4, 2 Let -2*z**4 + 5698*z**3 - 5694*z**2 - 5698*z + 5696 = 0. Calculate z. -1, 1, 2848 Find u such that u**3/6 - 8*u**2 - 4561*u/6 - 752 = 0. -47, -1, 96 Suppose -3*w**3/2 - 26115*w**2/2 + 629352*w - 7562592 = 0. What is w? -8753, 24 Factor 2*o**2/7 + 10148*o/7 - 1450. 2*(o - 1)*(o + 5075)/7 Factor -148225*t**4/3 - 198660*t**3 - 605236*t**2/3 - 4128*t - 64/3. -(t + 2)**2*(385*t + 4)**2/3 Determine r, given that -4*r**2 - 10008*r + 10012 = 0. -2503, 1 Let 45*w**3 - 1445*w**2 + 6280*w - 4880 = 0. What is w? 1, 4, 244/9 Factor 4*w**4 + 1812*w**3 + 305040*w**2 + 22571968*w + 617746176. 4*(w + 81)*(w + 124)**3 Factor i**2/4 - 401*i/2 + 53217/4. (i - 729)*(i - 73)/4 Factor 2*k**3/17 - 2712*k**2/17 - 5432*k/17. 2*k*(k - 1358)*(k + 2)/17 Factor -m**2/7 - 56253*m/7. -m*(m + 56253)/7 Factor -3*q**3 - 348*q**2 - 2889*q. -3*q*(q + 9)*(q + 107) Suppose j**3 + 1433*j**2 + 672715*j + 103851675 = 0. Calculate j. -603, -415 Solve d**3/3 +
{ "pile_set_name": "DM Mathematics" }
ate prob of sequence ppo when three letters picked without replacement from orpropporpoppppro. 7/102 Three letters picked without replacement from macsg. Give prob of sequence scm. 1/60 Two letters picked without replacement from {k: 10, o: 4}. What is prob of sequence oo? 6/91 Three letters picked without replacement from yfywfyarrrayfyfry. What is prob of sequence ayr? 1/85 What is prob of sequence ans when three letters picked without replacement from nlnlsca? 1/105 Three letters picked without replacement from {g: 1, u: 2, d: 1, q: 3}. Give prob of sequence qug. 1/35 Two letters picked without replacement from hwwrrwv. Give prob of sequence rr. 1/21 Four letters picked without replacement from wwztzwiwzzttww. What is prob of sequence tzwt? 6/1001 What is prob of sequence oo when two letters picked without replacement from {m: 1, o: 2, x: 2}? 1/10 What is prob of sequence fff when three letters picked without replacement from ffffffffff? 1 Three letters picked without replacement from xxxiiivxixxxxxxxvxix. What is prob of sequence vix? 13/684 Three letters picked without replacement from {l: 2, j: 1, d: 1, b: 1, p: 2, w: 1}. Give prob of sequence jbd. 1/336 Two letters picked without replacement from eeepepppelpeeppelppv. What is prob of sequence ep? 18/95 Two letters picked without replacement from {k: 1, o: 4, g: 3, l: 2, z: 2}. Give prob of sequence ll. 1/66 Four letters picked without replacement from dxddxxxdddxadaadxaxx. Give prob of sequence dxdd. 112/4845 Calculate prob of sequence latt when four letters picked without replacement from {a: 1, l: 7, y: 1, t: 2, j: 5}. 1/3120 Three letters picked without replacement from {x: 7, o: 4}. Give prob of sequence oxo. 14/165 Two letters picked without replacement from dddddidididddi. Give prob of sequence dd. 45/91 Two letters picked without replacement from qaafaafaaqy. What is prob of sequence ay? 3/55 Two letters picked without replacement from {l: 2, u: 1, h: 1, d: 1}. What is prob of sequence hu? 1/20 Four letters picked without replacement from fkfkfktkkttffkkk. Give prob of sequence ktff. 1/91 Calculate prob of sequence oo when two letters picked without replacement from {h: 5, o: 5, u: 8}. 10/153 Calculate prob of sequence mv when two letters picked without replacement from {m: 1, v: 2, n: 1}. 1/6 Three letters picked without replacement from {f: 3, l: 3, z: 4, p: 2, r: 4, d: 2}. Give prob of sequence lpr. 1/204 Two letters picked without replacement from {e: 3, g: 2, w: 2, f: 4, q: 2}. What is prob of sequence qw? 1/39 Two letters picked without replacement from rrzzrrrrwwr. What is prob of sequence zw? 2/55 Two letters picked without replacement from kvvkovvk. Give prob of sequence vv. 3/14 Three letters picked without replacement from vviivv. What is prob of sequence viv? 1/5 Three letters picked without replacement from {k: 1, e: 1, f: 1, z: 1, a: 1}. What is prob of sequence aef? 1/60 Four letters picked without replacement from {v: 6, p: 7, k: 5, o: 1}. Give prob of sequence pokp. 35/15504 Four letters picked without replacement from {z: 8, k: 4, s: 1}. What is prob of sequence zkkk? 8/715 Three letters picked without replacement from {n: 1, q: 1, p: 4, v: 5, y: 3}. What is prob of sequence yqn? 1/728 Two letters picked without replacement from {o: 6, q: 4, c: 1, e: 2, h: 4}. What is prob of sequence qh? 1/17 Two letters picked without replacement from fbieuee. Give prob of sequence ib. 1/42 What is prob of sequence cgo when three letters picked without replacement from ttrttgrtrrcgrcot? 1/840 Three letters picked without replacement from ndnnuunnuudnnnnunu. Give prob of sequence nnu. 15/136 Calculate prob of sequence pdd when three letters picked without replacement from {d: 3, r: 1, z: 4, s: 1, p: 4}. 2/143 Calculate prob of sequence jlx when three letters picked without replacement from aqqqxjaqaqlq. 1/1320 Three letters picked without replacement from {n: 2, u: 10}. What is prob of sequence nnu? 1/66 Two letters picked without replacement from pphhpphhpphphh. Give prob of sequence ph. 7/26 What is prob of sequence usiu when four letters picked without replacement from uusuiiiuiuuux? 7/715 Two letters picked without replacement from {n: 2, f: 5, c: 2}. What is prob of sequence nc? 1/18 Four letters picked without replacement from {f: 6, a: 7, r: 6}. What is prob of sequence aarr? 35/2584 Calculate prob of sequence hhhh when four letters picked without replacement from {h: 4}. 1 Calculate prob of sequence tssw when four letters picked without replacement from wssstwswssw. 1/66 What is prob of sequence utt when three letters picked without replacement from ppppupnttnnnunpx? 1/840 Two letters picked without replacement from {r: 8, m: 1, s: 2, i: 2}. Give prob of sequence si. 1/39 What is prob of sequence ng when two letters picked without replacement from xnnmmmgmmgmpmgmg? 1/30 Three letters picked without replacement from {l: 7, y: 9}. Give prob of sequence yyy. 3/20 Four letters picked without replacement from qpqqpq. Give prob of sequence qqpp. 1/15 Two letters picked without replacement from {r: 1, k: 2, w: 1, z: 1, e: 1, s: 1}. Give prob of sequence ze. 1/42 Four letters picked without replacement from {m: 5, b: 4, n: 3}. What is prob of sequence mmbm? 2/99 Two letters picked without replacement from {e: 1, p: 1, v: 2, a: 2}. Give prob of sequence va. 2/15 What is prob of sequence wr when two letters picked without replacement from rwrrrrwrwwwrw? 7/26 Two letters picked without replacement from ukududkdududu. What is prob of sequence uu? 5/26 Two letters picked without replacement from {x: 7, r: 2, d: 5, c: 4}. Give prob of sequence cc. 2/51 Two letters picked without replacement from {l: 4, w: 3, b: 4, q: 1, k: 1}. What is prob of sequence qw? 1/52 Two letters picked without replacement from {t: 2, y: 1, r: 2, c: 7}. What is prob of sequence yt? 1/66 Calculate prob of sequence os when two letters picked without replacement from wojsasi. 1/21 Calculate prob of sequence uu when two letters picked without replacement from uhhuu. 3/10 Calculate prob of sequence mmm when three letters picked without replacement from mmm. 1 Two letters picked without replacement from {v: 2, x: 2, e: 1, z: 1, q: 2}. Give prob of sequence ex. 1/28 What is prob of sequence erpr when four letters picked without replacement from {h: 1, r: 2, q: 1, e: 1, p: 2, b: 1}? 1/420 Three letters picked without replacement from zssurzjyuruujj. What is prob of sequence yus? 1/273 Two letters picked without replacement from iiiiiieiiiiiiiieiiii. Give prob of sequence ii. 153/190 Calculate prob of sequence jlu when three letters picked without replacement from lvlsluvslljjlvnlsj. 7/1632 Calculate prob of sequence cct when three letters picked without replacement from ctttttctctttttcctc. 5/68 What is prob of sequence hpn when three letters picked without replacement from {j: 1, h: 3, y: 1, n: 1, p: 6}? 3/220 Calculate prob of sequence xcec when four letters picked without replacement from {x: 3, c: 5, z: 2, e: 3}. 3/286 What is prob of sequence bo when two letters picked without replacement from {o: 1, i: 1, p: 9, b: 2}? 1/78 Two letters picked without replacement from {v: 2, r: 1, w: 3, d: 6, m: 2}. What is prob of sequence vd? 6/91 Two letters picked without replacement from {p: 2, w: 1, r: 1}. Give prob of sequence rw. 1/12 What is prob of sequence uu when two letters picked without replacement from {u: 2, c: 3, g: 4}? 1/36 What is prob of sequence ufo when three letters picked without replacement from {a: 2, f: 3, u: 4, h: 2, z: 2, o: 1}? 1/182 Calculate prob of sequence ggvg when four letters picked without replacement from {v: 2, y: 1, g: 4, k: 3}. 1/105 Calculate prob of sequence cl when two letters picked without replacement from kklc. 1/12 Two letters picked without replacement from opivjjt. What is prob of sequence jp? 1/21 Four letters picked without replacement from {c: 4, v: 2, z: 7}. Give prob of sequence vcvc. 1/715 Three letters picked without replacement from zrzaeaaemzaa. What is prob of sequence rza? 1/88 Calculate prob of sequence gzg when three letters picked without replacement from {z: 3, g: 5}. 5/28 What is prob of sequence ll when two letters picked without replacement from pyyjpjpjyk
{ "pile_set_name": "DM Mathematics" }
ulate 8 - (-1 + 1 + -22 + 27). 3 What is -28 + 33 + 1 + -8? -2 What is -2 - (-1 + 7 + -3 - 7)? 2 What is the value of 2 - (-3 - (-2 - 0))? 3 17 - (4 + 9) - -1 5 Calculate 6 + (-5 - -2) + 0. 3 Evaluate 2 - (3 + 2 - (1 - 1)). -3 What is 29 + -32 - (0 - 6 - -1)? 2 Calculate 1 + (6 - (-3 + 6 - -6)). -2 What is the value of (6 - (10 - 5)) + 7 + -3? 5 0 + -8 - (3 + -10 + -8) 7 What is the value of -2 + 2 + 1 + (-1 - -3)? 3 What is -4 + -3 + (9 - 3) + 6? 5 Evaluate 22 + -28 - (5 - (0 + 2)). -9 What is 4 - (2 + -1 - 2)? 5 Calculate (5 - 0) + 13 + -16. 2 (-11 - 0) + 4 + (-5 - -5) -7 Evaluate -6 + 5 - -6 - 3. 2 What is the value of 9 - 18 - (-3 + (3 - 3))? -6 -1 - 0 - (0 - 6) 5 -10 - (-6 + -7 + 6) -3 Calculate (-21 - -18) + 4 + -1. 0 -1 - (12 + -3) - -11 1 Evaluate 2 - (5 - (0 + 3)) - 0. 0 What is the value of -3 - (-4 + 7) - -1? -5 What is the value of 3 - -7 - (12 + -8)? 6 Calculate 6 + (-20 - -8) - (-5 - 1). 0 What is the value of -3 + 2 - (-4 - -3 - -4)? -4 Evaluate -24 - -15 - (2 - 8). -3 Evaluate (-9 - 2) + 2 - (-57 - -49). -1 Evaluate (-3 - (0 - 2)) + (-2 - -3). 0 What is the value of -2 + 1 + 7 - 11? -5 20 - 23 - (3 + -1) -5 What is -10 + (-5 - -6) + 7? -2 What is 1 - (-1 - (-3 - (4 - 4)))? -1 Evaluate (-2 + -1 + -2 - 1) + 3. -3 What is the value of 3 - (1 + 2 + (-4 - -1))? 3 What is 1 + (2 - 3) + -3 + 2? -1 What is -6 + (4 - -4 - 1) - -3? 4 Calculate 3 + -4 + 1 + 2. 2 What is -1078 + 1078 + 1 + -11 + 1? -9 What is the value of -11 - 0 - (0 - (15 + -10))? -6 What is 1 + -5 - -4 - 5 - -3? -2 What is the value of (-1 - -3 - 4) + (-1 - -2)? -1 What is the value of (2 - (4 - 1)) + 4? 3 Calculate 9 - (-6 + 12 + -3). 6 What is the value of -22 - -8 - -7 - -8? 1 Calculate (-1 + 3 - 5 - -2) + 6. 5 6 + -1 + (-3 - 1 - -1) 2 What is (1 - (4 - -5)) + 5? -3 What is (2 + 0 - 3) + 5? 4 What is the value of 3 - (3 + -9 + 4 - -9)? -4 Evaluate -6 + -1 - (-31 - -18). 6 Evaluate -3 + 6 + 7 + -6. 4 What is the value of 0 - (-7 + 10 - -2)? -5 Evaluate -23 + 11 + 20 - 15. -7 What is the value of -3 + 4 + -1 + 0 - 2? -2 What is -2 + -2 + 3 + 2? 1 Calculate 5 + -3 + (1 - 2). 1 What is the value of 3 + -3 + (2 - -2) + -2? 2 6 + 0 - (-8 - (7 - 19)) 2 Evaluate 12 + -10 + -8 + 10. 4 Evaluate -14 + -13 + 9 + 12. -6 What is -15 + 10 - ((-1 - -1) + 0)? -5 What is the value of 2 + -4 - (7 + -11)? 2 Evaluate (11 + -3 - 3) + -4. 1 Evaluate -5 + (8 - (17 + -8)) + 11. 5 Calculate -1 + (-11 - (5 - 25)). 8 What is -1 - (2 - 4) - 0? 1 What is 2 + (2 - (-6 + 3)) + -3? 4 -12 - (-14 - (-5 + 12)) 9 -2 - (-4 + -3 + 3 + -3) 5 What is the value of -26 - -27 - (0 + 2 + -5)? 4 What is the value of 2 - 10 - -4 - 0? -4 (-14 - -1) + 44 + -42 - -6 -5 What is -5 + (6 - (3 + 1))? -3 What is the value of (1 - (0 + 3)) + 127 + -120? 5 -2 - 0 - (0 - (0 + 0)) -2 What is the value of (-1 - -6 - 1) + (13 - 19)? -2 Calculate 7 + 3 + 3 + -14. -1 Evaluate -6 - ((-7 - -6) + -3 + -2). 0 What is the value of 2 + 0 + (-9 - -4) + 1? -2 What is the value of 6 + -2 + -8 + 4 - 1? -1 What is 0 - -6 - (-10 - -17)? -1 What is the value of (-6 - (-2 + 8 + -4)) + 2? -6 What is 12 + -1 - (45 - 37)? 3 What is (0 - -1) + 2 + 2 + -3? 2 What is 2 + -3 - (0 + 3 + -6)? 2 What is 0 - (0 + (-3 - -7))? -4 Evaluate -1 + 0 + 0 + 294 + -299. -6 What is the value of -2 + (3 - (3 - -3))? -5 What is 1 - (1 - -5 - 3) - -8? 6 What is 1 + -3 + (6 + 3 - 3)? 4 Evaluate 4 + -5 + (0 - 3). -4 What is the value of 3 + (-9 + 2 - -9)? 5 What is 1 - -1 - (2 + -2)? 2 Evaluate (6 - 1) + -12 + 2 + 1. -4 What is 10 - 1 - (1 - (-8 - -6))? 6 Evaluate -3 - ((-4 - -4) + -4 + -1). 2 Evaluate 4 - (5 + 1) - (0 + 2). -4 Evaluate 5 + -10 + 4 - -6. 5 What is the value of 7 + -1 + (-31 - -30) - 5? 0 Evaluate 1 - (-4 + 2 + (-3 - 2)). 8 Calculate -5 + 23 + -8 - 0. 10 Calculate 2 + (-1 - -2) + -5. -2 Calculate 5 + -7 + -4 + 1. -5 2 + (3 - -7 - 19) -7 Evaluate (6 + -9 - -5) + (2 - 4). 0 Evaluate 1 + (6 - (7 + 2)). -2 Calculate 10 + -18 + 8 - (0 - -3). -3 What is the value of -2 + -6 + -4 - -19? 7 What is 6 + (0 + 3 - (1 - -3))? 5 What is -3 + 3 - (3 - (2 - 1))? -2 Calculate 20 - 26 - (1 + -8). 1 What is -5 - -4 - (3 + -1)? -3 What is the value of -5 + -2 + 4 + -2 + 6? 1 1 - (2 + 1 + -1) - -1 0 What is 72 + -73 - (0 + (-2 - -5))? -4 7 + (0 - 5) + -3 -1 What is the value of (10 - 8 - (1 + -1)) + -2? 0 Evaluate 2 + 4 + -6 - 1. -1 Evaluate 3 + 6 - (1 + 3) - -2. 7 What is the value of (5 - 4 - -4) + -3? 2 What is 1 - ((0 - -3) + -1 - 0)? -1 Calculate -1 - -1 - (-1 - 2). 3 What is the value of 4 - (7 + (-6 - -2) + 1)? 0 What is the value of 2 + (2 - (-6 - -7))? 3 Evaluate 3 + (-1 - 3) - -5. 4 Evaluate -4 - (-3 - 1 - 3). 3 Evaluate (2 - -4) + (-20 - -10). -4 What is -2 + (-9 + 1 - -5)? -5 4 + (5 - (0 + 3)) + -1 5 What is -10 - -10 - (-8 - -2)? 6 5 + 0 + -5 + (-1 - -5) 4 Evaluate (-6 + 4 - 1) + 3. 0 Calculate 0 + -2 + (-29 - -30). -1 Evaluate (4 + -2 - -8) + -14. -4 What is the value of -1 - (-13 + 1) - (-13 + 15)? 9 What is the value of -4 - -11 - 11 - -5? 1 What is -8 - -7 - (-3 + 6 - 4)? 0 What is the value of 0 + (-6 + 11 - 3) + -2? 0 9 + (1 - 6) - (-1 - -9) -4 Calculate 1 + -1 - (0 + 1). -1 What is the value of -2 + (-8 - -18 - 8)? 0 Calculate 0 + -6 + 5 + 1. 0 Evaluate (5 - 19 - -3) + 6. -5 Calculate 10 + 0 - (13 + -9). 6 What is 1 + -9 - (-8 + 2)? -2 -7 - 0 - (-4 - -2) -5 What is -7 + 0 - (-1 - (10 - 11))? -7 Calculate (5 - (3 + 1)) + 1 - 3. -1 What is the value of 1 + 1 + (-6 - -1)? -3 What is 6 + (-4 - 6 - 2 - -6)? 0 -10 + (-7 + 6 + -1 - -1) -11 -3 + 4 + 7 + -11 -3 Evaluate (-2 + 3 - 1) + 3. 3 What is the value of 2 - (-4 + (-1 - -6))? 1 What is the value of 5 + -12 + 5 + (0 - 1)? -3 What is the value of -3 + 3 + -9 - -11? 2 What is 2 + (-2 - (-3 + 3))? 0 4 + 17 + (0 - 13) 8 What is 0 + 10 + (79 - 84)? 5 Evaluate 9 + 10 + -17 + 7. 9 Evaluate (-4 - -5 - -3) + 0. 4 What is the value of 0 - (1 + -1 - -7) - -2? -5 What is 10 + -10 - ((-1 - -3) + -7)? 5 Evaluate 1 - ((0 - (6 + -5)) + -5). 7 Evaluate (2 - 2) + -20 + 21. 1 Calculate 0 - (-4 - -15) - -3. -8 Evaluate (11 - 6) + 0 + -5 + 6. 6 Calculate -26 - -36 - (3 - -2). 5 What is the value of -1 + (-7 - (2 - 5))? -5 Evaluate 29 + -23 - (2 + -4) - 10. -2 What is the value of (2 - (0 - -5)) + 5? 2 Calculate 13 + (2 + 1 - 5) - 1. 10 Calculate -8 + (4 - (2 + -2)). -4 1 + (7 + 1 - 4) 5 What is the value of (-1 + (-2 - -4) - 3) + 0? -2 5 + -5 + (-7 - -3 - -9) 5 -5 + (-1 - (-19 - -7)) 6 6 - (4 + -2) - (2 + 4) -2 Evaluate -4 - (-6 - -3 - 4). 3 What is the value of 2 + (-8 + (3 - 1) - -3)? -1 What is the value of -2 + 1 - (1 + -8)? 6 What is the value of 1 - (4 + 1 + -4 + 3)? -3 Evaluate -16 + 7 + 26 + -7. 10 Evaluate -1 - (11 + (-5 - 2) - 4). -1 Evaluate -2 + 12 - (-10 - (13 - 26)). 7 Evaluate (-2 - 4) + (8 - 2) + 0. 0 What is the value of (15 - 7) + -8 + 1 - 3? -2 (-4 - -8 - 1) + -1 + -3 -1 Evaluate 10 + -14 - (-2 + 1 + 2). -5 What is the value of 10 + -12 - -4 - 10? -8 7 + (-7 - -3) + 2 5 Evaluate (-3 - -1) + 17 + -11 - 9. -5 Calculate -1 + 6 + (-8 - -7) - -1. 5 What is the value of -3 - (1 + -1 + 3 + -5)? -1 Calculate (9 - 4) + -11 + 0 - 1. -7 2 + -3 + -3 - -7 3 Calculate (3 + 1 - 6) + -2 + 0. -4 What is the value of 3 + 0 - (1 + 0) - 1? 1 -3 + (-4 - -3 - 2) -6 What is -4 - 1 - (-7 - (4 - 3))? 3 (-3 - 1) + 10 + -6 0 (-2 - -5) + -21 + 13 -5 Evaluate 3 - 6 - (-2 - (-1 - 2)). -4 Evaluate 5 + 0 - (-2 - (-12 - -9)). 4 Calculate (-6 - -1) + 3 - (-8 - -1). 5 -4 - (6 - 6 - 10) 6 Calculate -8 + (-2 + 12 - -3). 5 What is 2 - (-5 + 4 + 2)? 1 Calculate (1 - (1 + 4)) + 9 - 3. 2 What is the value of 5 - 3 - (-2 + -1)? 5 Evaluate (2 - 4) + 12 + -10. 0 What is -3 + -8 + 14 - 11? -8 What is 18 - 16 - (4 - (-6 + 4))? -4 Calculate (2 + 0 - 0) + -177 + 178. 3 Calculate (-8 - (-2 - -2 - 1)) + 3. -4 Calculate -3 + (15 - -1) - 8. 5 (3 - (-1 - -2)) + -11 + 6 -3 Calculate 5 + 9 + -7 - 5. 2 What is the value of (0 + -3 - -5) + 2 - 2? 2 What is (-6 - (-1 - -2)) + (1 - -9)? 3 Evaluate 10 + 8 + -4 + -9. 5 Calculate 5 + -5 + 5 - (-1 + 6). 0 What is the value of 6 + -8 + 6 + -1 + 1? 4 What is the value of -11 - -6 - (-6 - 2)? 3 What is the value of (1 - 3) + -6 - (-34 - -31)? -5 Evaluate -4 + 2 + 0 + 0 + -3. -5 What is the value of (0 - -2) + -2 + -2? -2 Calculate 7 + 8 + -18 - (-1 + 7). -9 What is the value of -2 + (-4 - (0 - 6)) - -3? 3 Evaluate 5 -
{ "pile_set_name": "DM Mathematics" }
135*p**4/8 + 205*p**3/6 - 696*p. Factor m(t). -5*t*(t - 1)*(t + 82)/2 Let k(z) = -3*z**3 + 150*z**2 - 1869*z + 12. Let o(f) = -6*f**3 + 300*f**2 - 3737*f + 26. Suppose 0 = -11*r - 25 - 41. Let h(s) = r*o(s) + 13*k(s). Factor h(p). -3*p*(p - 25)**2 Let p(g) be the first derivative of 2*g**5/5 - 25*g**4/2 - 62*g**3/3 + 133*g**2 - 156*g - 412. Factor p(d). 2*(d - 26)*(d - 1)**2*(d + 3) Let r(g) be the third derivative of -g**6/200 + 37*g**5/100 + 169*g**4/40 - 41*g**3/2 - 2347*g**2. Factor r(d). -3*(d - 41)*(d - 1)*(d + 5)/5 Let w be (-44)/220*4/(-4)*10. Let z(v) be the first derivative of -40*v + 6*v**w + 4/3*v**3 + 2. Suppose z(k) = 0. What is k? -5, 2 Let f = -20404/645 - -850/43. Let m = f + 184/15. Factor -m*x**5 + 2*x**4 + 0*x - 16/5*x**3 + 8/5*x**2 + 0. -2*x**2*(x - 2)**2*(x - 1)/5 Let f = 763673/8 + -96017. Let w = f + 559. Determine g, given that -9/4*g**3 - 1/4 + 9/8*g**5 - 1/4*g**4 + 1/2*g**2 + w*g = 0. -1, 2/9, 1 Let v = 114928 + -574638/5. Factor -v*q**2 + 36/5 + 14/5*q. -2*(q - 9)*(q + 2)/5 Find j, given that -129/4*j**2 + 4347/4*j + 1/4*j**3 - 11907/4 = 0. 3, 63 Let a(g) be the second derivative of g**4/30 + 23*g**3/5 + 1188*g**2/5 - 8718*g. Let a(p) = 0. Calculate p. -36, -33 Suppose 217 - 199 = 9*i. Let q(p) be the first derivative of i - 13/11*p**2 + 12/11*p - 10/33*p**3. Factor q(o). -2*(o + 3)*(5*o - 2)/11 Let r(k) be the second derivative of k**5/90 - 5*k**4/9 + 83*k**3/27 - 6*k**2 + 87*k + 7. Factor r(i). 2*(i - 27)*(i - 2)*(i - 1)/9 Let f(l) be the second derivative of -l**4/20 + 22*l**3/5 - 129*l**2/10 - 20*l + 65. Factor f(k). -3*(k - 43)*(k - 1)/5 Let w = 84 + -82. Solve 3*o**2 - 7*o**w - 3*o + 3*o + 4 = 0 for o. -1, 1 Find i such that 10/3*i**3 + 1024/7*i**2 - 120/7*i - 352/21 = 0. -44, -2/7, 2/5 Let a(q) = -8*q + 56. Let g be a(6). Factor g - 490*l**3 - 64*l**5 - 115*l - 11*l**5 + 310*l**4 + 360*l**2 - 12 + 14. -5*(l - 1)**4*(15*l - 2) Let t(g) be the third derivative of 7/132*g**4 + 1/330*g**5 + 0*g + 4/11*g**3 + 3*g**2 + 0. Factor t(m). 2*(m + 3)*(m + 4)/11 Solve -5*r**2 - 855 + 95*r - 1087 + 332 + 90*r = 0. 14, 23 Let p(u) = -u**2 - 3*u + 2. Let j be p(-3). Find i such that -17*i**2 - 16*i**2 + 59*i**j - 21*i**2 + 140*i + 135 = 0. -27, -1 Let c(j) = -2*j**2 + 19*j - 32. Let o be c(7). Suppose 6*p - 15 = -o. Find t, given that -6/11*t - 4/11 + 4/11*t**p = 0. -1/2, 2 Let a(i) be the third derivative of i**6/1980 - i**5/165 - 25*i**3/6 + 5*i**2 + 3. Let o(l) be the first derivative of a(l). What is v in o(v) = 0? 0, 4 Let k = 31362 - 31358. Factor 1/6*i**k + 169/6*i + 0 - 25/6*i**3 + 143/6*i**2. i*(i - 13)**2*(i + 1)/6 Let m(c) be the first derivative of -c**5/10 - 605*c**4/4 + 2423*c**3/6 - 303*c**2 + 11997. Factor m(g). -g*(g - 1)**2*(g + 1212)/2 Let h(o) = -8*o**2 + 4344*o - 1192460. Let q(n) = -47*n**2 + 26070*n - 7154761. Let y(j) = -23*h(j) + 4*q(j). Let y(i) = 0. Calculate i. 546 Let g(x) = -119*x**2 - 2022*x + 19. Let a be g(-17). Solve 0 - 3*k + 1/2*k**4 + k**3 - 5/2*k**a = 0 for k. -3, -1, 0, 2 Let k(c) = 6*c**3 - 86*c**2 + 26*c + 33. Let f be -2*5/25*-35. Let i be k(f). Factor -16 - 20*y**3 - 40*y - 1/2*y**i - 5*y**4 - 40*y**2. -(y + 2)**5/2 Find y such that 1/2*y**4 + 0*y + 0 + 1/2*y**2 - y**3 = 0. 0, 1 Let z(a) be the second derivative of -148*a - 5/9*a**4 - 27*a**2 + 0 + 1/60*a**5 + 13/2*a**3. What is v in z(v) = 0? 2, 9 Let q(s) be the third derivative of -s**6/360 + s**5/30 - 139*s**3/6 + 2*s**2. Let d(h) be the first derivative of q(h). Find k such that d(k) = 0. 0, 4 Let m(d) = -d**3 + 7*d**2 + 3*d - 10. Suppose 0*a = 4*a - 28. Let k be m(a). Factor -2 - 9*i + 2*i + 2*i**4 - 4*i**3 + k*i. 2*(i - 1)**3*(i + 1) Find f, given that 16/7*f**2 - 68/7*f**4 + 0 + 128/7*f**3 + 0*f = 0. -2/17, 0, 2 Let q be (-2)/(-13) + ((2465/442)/((-9)/18) - -13). Suppose 22/5 - 2/5*m + 2/5*m**3 - 22/5*m**q = 0. Calculate m. -1, 1, 11 Let n(g) = 3*g + 5. Let m be n(-4). Let i(u) = u**2 + 9*u + 19. Let l be i(m). Factor 3*p**l + 2*p**3 - 2*p**2 - 3*p**5 + 2*p**4 + 3*p**5 - 5*p**5. -2*p**2*(p - 1)**2*(p + 1) Let t = 110747/5 - 775219/35. What is m in 36/7 + t*m**4 - 50/7*m - 6/7*m**2 + 18/7*m**3 = 0? -9, -2, 1 Let p(i) = -8536*i + 8538. Let w be p(1). Let -20/17*h - 22/17 + 2/17*h**w = 0. Calculate h. -1, 11 Let r(p) = p + 11 + 0*p + 13 - 20. Let j be r(-1). Factor 28*g**3 - 10*g**3 + 20 - 2*g**j - 11*g**3 - 20*g**2 - 5*g. 5*(g - 4)*(g - 1)*(g + 1) Suppose 6*c**2 + 31/8*c**3 + 0 + 2*c - 1/4*c**5 - 3/8*c**4 = 0. What is c? -4, -1, -1/2, 0, 4 Let p = 67 - 63. Suppose 8 = p*q, -6*q + 2*q = 3*c - 8. Factor -7*l - 4*l**3 + 8*l**2 + c*l**2 + 0*l**2 - 32 + 23*l. -4*(l - 2)**2*(l + 2) Let y = 423801/4 + -105950. Factor 0*v - 1/4*v**4 + y*v**3 + 1/2*v**2 + 0. -v**2*(v - 2)*(v + 1)/4 Let a(c) be the second derivative of 32/3*c**3 + 0 - 26*c + 34*c**2 - 1/3*c**4. Factor a(l). -4*(l - 17)*(l + 1) Let h(a) be the first derivative of 9*a**4/4 - 224*a**3 - 231*a**2/2 + 450*a + 1625. Factor h(u). 3*(u - 75)*(u + 1)*(3*u - 2) Suppose 190 + 696 = 2188*r - 3490. Suppose 69/10*x - 19/5 - 9/5*x**r = 0. What is x? 2/3, 19/6 Let y(n) = 2*n**4 - 15*n**3 - 17*n**2 - 7. Let x(q) = q**3 - 1 - 8*q**2 + 18*q**2 + 0*q**3 - 9*q**2. Let h(p) = -14*x(p) + 2*y(p). Find a such that h(a) = 0. -1, 0, 12 Factor 7*r**3 - 50*r**3 + 909*r**2 + 84*r**3 - 44*r**3 + 29955 + 38448 - 69309*r. -3*(r - 151)**2*(r - 1) Let u = 39/1604822 + -8538513171/2375136560. Let w = 3/592 - u. Find l, given that 6/5*l**4 + 0 - w*l**3 + 2/5*l**2 + 4/5*l**5 + 6/5*l = 0. -3, -1/2, 0, 1 Let v(y) = -y**4 - y**3 - y + 1. Let d(j) = -j**4 - 10*j**3 + 7*j**2 - 2*j + 2. Suppose 54 = -7*p - 16. Let f(n) = p*v(n) + 5*d(n). Factor f(o). 5*o**2*(o - 7)*(o - 1) Let l(t) = t**3 + 2*t**2 - 8*t. Let v(g) = -21*g**3 + 78*g**2 - 63*g - 324. Let i(s) = 18*l(s) + v(s). Factor i(y). -3*(y - 36)*(y - 3)*(y + 1) Let c(x) be the third derivative of -x**8/6720 + x**7/240 + x**6/30 - 9*x**5/5 + 126*x**2. Let m(w) be the third derivative of c(w). What is y in m(y) = 0? -1, 8 Find v such that -104/5*v**2 + 2/5*v**5 - 68/5*v**3 + 128/5 - 6/5*v**4 + 48/5*v = 0. -2, 1, 8 Let i = -199 - -298. Factor 5*v + i*v**2 + 73*v + 5*v**3 + 24*v - 8*v**3. -3*v*(v - 34)*(v + 1) Suppose -26*b + 10*b**2 - 141 - 8*b**2 - 368 - 91 = 0. Calculate b. -12, 25 Let n = 175493/6 - 87742/3. Determine d so that -n*d + 6 - 9/4*d**2 = 0. -2, 4/3 Let n(w) be the first derivative of 5*w**4/4 + 100*w**3/3 + 625*w**2/2 + 1250*w - 965. Suppose n(x) = 0. Calculate x. -10, -5 Let l(h) be the first derivative of 7*h**4/3 - 2288*h**3/9 - 1490*h**2/3 - 664*h/3 + 5074. Suppose l(n) = 0. What is n? -1, -2/7, 83 Let p(g) be the third derivative of -g**8/2520 + 2*g**7/175 - 47*g**6/900 + g**5/15 - 12*g**2 + 11*g. What is k in p(k) = 0? 0, 1, 2, 15 Let r(v) be the first derivative of 4*v**3/3 - 54*v**2 + 720*v + 1243. Suppose r(m) = 0. Calculate m. 12, 15 Let a(g) be the second derivative of 5*g**4/12 + 65*g**3/3 + 825*g**2/2 + 184*g. Factor a(m). 5*(m + 11)*(m + 15) Suppose -52*z + 53*z = i + 7, -3*z + 2*i + 16 = 0. Let r be (-709)/(-4) - (-1)/(-4). Factor 19 - 56*m + 7*m**2 - 3*m**z + r. 4*(m - 7)**2 Let q(r) be the third derivative of 0 - 74*r**2 - 2/15*r**5 + 0*r + 21/4*r**4 + 16/3*r**3. Let q(o) = 0. What is o? -1/4, 16 Let p(s) = -s**4 - s**3 - s**2 - 3*s. Let i(v) = -8*v**4 + 72*v**3 - 63*v**2 - 149*v. Let d(n) = i(n) - 3*p(n). Find f, given that d(f) = 0. -1, 0, 2, 14 Let l(p) = -5*p**3 + 262*p**2 + 1056*p + 1074. Let o(n) = -32*n**3 + 1572*n**2 + 6334*n + 6449. Let r(t) = 39*l(t) - 6*o(t). Suppose r(g) = 0. What is g? -2, 266 Let i(t) be the first derivative of t**2/2 + 13*t - 11. Let h be i(-8). Solve -h*y**3 + 0*y**2 - y**2 - 4*y**2 - 23*y + 33*y = 0 for y. -2, 0, 1 Suppose -44*i - 843 = 4525. Let q = 2076/17 + i. Determine p so that -q*p**3 - 2/17*p**4 + 0*p**2 + 0 + 0*p = 0. -1, 0 Let -t**4 + 234*t**3 + 3037*t**2 + 7*t**3 - 3*t**4 + 2604*t + 99*t**3 - 89*t**2 = 0. What is t? -7, -1, 0, 93 Factor -179*i**3 - 7*i + 36*i**2 - 3*i + 204*i**3 - 71*i**2 + 20*i**4. 5*i*(i - 1)*(i + 2)*(4*i + 1) Let r(v) be the third derivative of v**5/510 - 7*v**4/34 + 147*v**3/17 + 1623*v**2. Factor r(h). 2*(h - 21)**2/17 Let h(q) be the first derivative of -q**6/360 - 2*q**5/15 + 2*q**3/3 - 73*q - 209. Let g(y) be the third derivative of h(y). Let g(n) = 0. Calcul
{ "pile_set_name": "DM Mathematics" }
e the remainder when 6576891 is divided by 368. 363 Calculate the remainder when 626602799 is divided by 20. 19 Calculate the remainder when 1499275 is divided by 749636. 3 What is the remainder when 752333 is divided by 75233? 3 Calculate the remainder when 97974 is divided by 97094. 880 Calculate the remainder when 39913 is divided by 5920. 4393 What is the remainder when 23208354 is divided by 9? 0 Calculate the remainder when 234084 is divided by 1357. 680 What is the remainder when 825033 is divided by 63417? 612 What is the remainder when 52415144 is divided by 9? 8 What is the remainder when 2149300 is divided by 337? 251 Calculate the remainder when 20644 is divided by 859. 28 Calculate the remainder when 2375075 is divided by 66. 65 Calculate the remainder when 946435 is divided by 306. 283 What is the remainder when 447190 is divided by 223590? 10 What is the remainder when 3876024 is divided by 695? 9 What is the remainder when 2325418 is divided by 4030? 108 Calculate the remainder when 1239995 is divided by 516. 47 What is the remainder when 21221588 is divided by 253? 201 Calculate the remainder when 6328256 is divided by 134. 106 What is the remainder when 182855 is divided by 259? 1 Calculate the remainder when 578206 is divided by 6966. 28 Calculate the remainder when 12109109 is divided by 1830. 1829 Calculate the remainder when 7745220 is divided by 131. 107 Calculate the remainder when 8381945 is divided by 489. 485 What is the remainder when 368302867 is divided by 83? 78 What is the remainder when 23185332 is divided by 3442? 20 What is the remainder when 5954069 is divided by 313371? 20 Calculate the remainder when 1333627 is divided by 59. 50 Calculate the remainder when 49780 is divided by 16345. 745 Calculate the remainder when 678436 is divided by 95938. 6870 Calculate the remainder when 967987 is divided by 94. 69 What is the remainder when 446980 is divided by 186? 22 Calculate the remainder when 3317554 is divided by 19. 2 What is the remainder when 241053427 is divided by 23? 18 What is the remainder when 118595 is divided by 14514? 2483 What is the remainder when 21028121 is divided by 2628505? 81 Calculate the remainder when 250661720 is divided by 171. 2 Calculate the remainder when 396423 is divided by 4080. 663 What is the remainder when 7211186 is divided by 230? 226 What is the remainder when 49138984 is divided by 7? 6 Calculate the remainder when 545720 is divided by 1909. 1655 Calculate the remainder when 3795590 is divided by 2634. 2630 Calculate the remainder when 46074 is divided by 546. 210 Calculate the remainder when 802923 is divided by 724. 7 What is the remainder when 18826799 is divided by 600? 599 What is the remainder when 73214908 is divided by 1771? 1768 Calculate the remainder when 6856803 is divided by 34. 23 What is the remainder when 534381 is divided by 5641? 4127 What is the remainder when 443421 is divided by 443416? 5 What is the remainder when 499888 is divided by 31243? 0 What is the remainder when 5173618 is divided by 1063? 1060 Calculate the remainder when 138606 is divided by 3149. 50 What is the remainder when 547934 is divided by 1943? 8 Calculate the remainder when 482361 is divided by 160749. 114 Calculate the remainder when 4434340 is divided by 70386. 22 Calculate the remainder when 4914149 is divided by 867. 860 Calculate the remainder when 36668 is divided by 2295. 2243 What is the remainder when 15234091 is divided by 285? 271 What is the remainder when 17947352 is divided by 8973663? 26 What is the remainder when 3668778 is divided by 418? 410 What is the remainder when 48494661 is divided by 485? 481 What is the remainder when 200843 is divided by 24944? 1291 What is the remainder when 38979 is divided by 252? 171 Calculate the remainder when 207731508 is divided by 14. 12 What is the remainder when 1167685 is divided by 53073? 79 Calculate the remainder when 301032359 is divided by 150516174. 11 Calculate the remainder when 2457818 is divided by 13139. 825 Calculate the remainder when 4639780 is divided by 15. 10 Calculate the remainder when 99244 is divided by 49517. 210 What is the remainder when 369007 is divided by 3690? 7 What is the remainder when 1751245 is divided by 328? 53 Calculate the remainder when 150407095 is divided by 14. 13 Calculate the remainder when 35754412 is divided by 1912. 12 What is the remainder when 844049 is divided by 26? 11 Calculate the remainder when 155287 is divided by 2594. 2241 Calculate the remainder when 8064938 is divided by 620365. 193 What is the remainder when 101472 is divided by 454? 230 Calculate the remainder when 258734897 is divided by 34. 31 Calculate the remainder when 18723955 is divided by 17. 2 Calculate the remainder when 1345379 is divided by 1823. 5 What is the remainder when 1050756 is divided by 3593? 1600 What is the remainder when 1740877 is divided by 158257? 50 Calculate the remainder when 1044886 is divided by 2. 0 What is the remainder when 251329225 is divided by 3088? 3081 What is the remainder when 431031 is divided by 86200? 31 Calculate the remainder when 75529 is divided by 150. 79 Calculate the remainder when 1556245 is divided by 43. 32 Calculate the remainder when 446756 is divided by 26. 24 What is the remainder when 510236 is divided by 987? 944 Calculate the remainder when 84021 is divided by 1900. 421 What is the remainder when 66815709 is divided by 102? 99 What is the remainder when 93025 is divided by 408? 1 Calculate the remainder when 130888 is divided by 7699. 5 What is the remainder when 4124031 is divided by 3019? 77 Calculate the remainder when 12381652 is divided by 694. 692 Calculate the remainder when 7637346 is divided by 2085. 2076 Calculate the remainder when 14385044 is divided by 334. 332 What is the remainder when 6590196 is divided by 830? 826 Calculate the remainder when 2900743 is divided by 32. 7 What is the remainder when 442261 is divided by 963? 244 What is the remainder when 39426545 is divided by 27? 11 Calculate the remainder when 1411762 is divided by 235149. 868 What is the remainder when 12314083 is divided by 6157041? 1 Calculate the remainder when 669838 is divided by 103. 29 What is the remainder when 10425481 is divided by 1087? 64 What is the remainder when 1241644312 is divided by 13? 12 What is the remainder when 99974 is divided by 152? 110 What is the remainder when 139132406 is divided by 47? 45 What is the remainder when 17081 is divided by 285? 266 What is the remainder when 54453 is divided by 351? 48 Calculate the remainder when 744353693 is divided by 63. 62 What is the remainder when 6847842 is divided by 1419? 1167 What is the remainder when 2558979 is divided by 19239? 192 Calculate the remainder when 92852 is divided by 138. 116 What is the remainder when 205537292 is divided by 17? 16 What is the remainder when 3512697 is divided by 585441? 51 What is the remainder when 13730235 is divided by 4576700? 135 What is the remainder when 58150749 is divided by 21? 6 Calculate the remainder when 8212722 is divided by 24. 18 Calculate the remainder when 2164742 is divided by 3798. 3680 What is the remainder when 58783802 is divided by 61? 54 What is the remainder when 1575435 is divided by 1085? 15 What is the remainder when 49943651 is divided by 20? 11 Calculate the remainder when 32489118 is divided by 16244552. 14 Calculate the remainder when 132212268 is divided by 62. 58 Calculate the remainder when 361458 is divided by 3932. 3646 What is the remainder when 16816352 is divided by 8? 0 What is the remainder when 30862767 is divided by 10287587? 6 Calculate the remainder when 193408 is divided by 1100. 908 Calculate the remainder when 81954 is divided by 40633. 688 What is the remainder when 696680 is divided by 203? 187 What is the remainder when 2053810 is divided by 2532? 358 Calculate the remainder when 154812 is divided by 4553. 10 Calculate the remainder when 189770 is divided by 10512. 554 What is the remainder when 234580 is divided by 113? 105 What is the remainder when 1126089 is divided by 375304? 177 Calculate the remainder when 10326201 is divided by 2271. 2235 What is the remainder when 314973 is divided by 18523? 82 What
{ "pile_set_name": "DM Mathematics" }
2*n + 6*n = 3, 3*f = n + b. What is the biggest value in w, f, 1? f Let t = -0.7 - -0.3. Let f = -2 + 2.1. What is the third biggest value in 2/7, t, f? t Let f = -11.8 + 12. Which is the second smallest value? (a) -0.2 (b) f (c) 3/7 b Let v = 39 + -38.77. Let j = v - 4.23. Which is the second biggest value? (a) -0.1 (b) j (c) -0.3 c Suppose 0 = -2*b - b + z - 2, z = 5*b. Let i be (b/7)/((-6)/(-18)). Let v = -0.06 + -2.94. What is the smallest value in v, 0.2, i? v Let k be (-2)/20 + 0 + 0. Suppose x + 2 = 3*v + 1, 8 = 4*x. Which is the third biggest value? (a) v (b) 0.1 (c) k c Let u = -2.3 + -14.7. Let j = u - -21. Which is the smallest value? (a) -2 (b) j (c) -0.5 a Suppose i + 2*d = -6, 3*i + 3 = -3*d - 9. Let f be i + 4 + 51/(-24). Which is the smallest value? (a) -0.2 (b) -3/4 (c) f b Let b = -5.1 - -0.1. Let u = -7 - -4. Let l = -0.2 - 0.3. What is the second smallest value in l, u, b? u Let t be (-80)/(-182) + 4/(-26). Let v be 11 - (-2 - (0 + -3)). Let o be (-4)/v*(-5)/6. Which is the biggest value? (a) t (b) o (c) 2/5 c Let j = 0.01 + 0.09. Let t = j - -0.2. Let b = 0 + -2. What is the second biggest value in -4/5, t, b? -4/5 Let r = 33 - 28. Let q = 1.4 + 0.6. Which is the second smallest value? (a) q (b) r (c) -0.2 a Suppose -2*u + 0 = -0. Which is the second biggest value? (a) -3/7 (b) 5 (c) u c Let h = 4 + -54/13. What is the second smallest value in 2, h, -1? h Let s = -70.7 + 71. Suppose -2*x = -4*r + 22, 2*x - 10 = -r - 3*r. What is the second smallest value in r, -1/10, s? s Let k(z) = z**3 - 7*z**2 + 5*z + 1. Let i be k(6). Let u = 2 + i. Let s = 115/4 - 29. Which is the smallest value? (a) -0.1 (b) u (c) s b Suppose 227 = -12*t + 11. What is the third smallest value in 0.1, t, 0.2? 0.2 Let y = 11.7 + -11. Let f = y - 3.7. Let d = 4 + f. Which is the second smallest value? (a) -5 (b) -1/3 (c) d b Let r = 2 + -2.5. Let u = 5.152 + -0.102. Let f = 0.05 - u. What is the third biggest value in f, r, 1? f Let l = 3/16 - -5/16. Which is the second smallest value? (a) 3 (b) l (c) -0.06 b Let d = -4/23 - 18/161. Let o be ((-3)/18)/(1 - 0). Which is the third biggest value? (a) d (b) o (c) 1/4 a Let y = 0.041 + -5.041. Which is the fourth smallest value? (a) -1 (b) y (c) 3/4 (d) 4 d Suppose x + 1 - 13 = 0. Let y = 8 - x. Which is the smallest value? (a) y (b) -2/7 (c) -2/13 a Let m = -0.3 - -0.4. Let n = m + 0.1. Let j be -3*12/(-27)*-3. What is the second biggest value in j, n, -0.1? -0.1 Let w = 0.406 - 0.106. Let l be 0/(-3) + 2/12. What is the second smallest value in w, l, 6? w Suppose -5*n - 113 = -w, -w = 4*w - 15. Let o be 1/3 + n/30. Let d = 2.04 + -0.04. Which is the second smallest value? (a) d (b) -1 (c) o c Suppose -2*z = -z - 100. Suppose -4*j - z = j. Let t be 2 - 4 - j/14. Which is the third biggest value? (a) -0.2 (b) 2/13 (c) t c Suppose 0 = 9*v - 13*v - 12. Which is the third biggest value? (a) -0.1 (b) 5 (c) v c Let w = 19 - 39. Let v be (1/(-14))/(5/w). Suppose 0*i + 3*i = 5*b, b - 3*i - 12 = 0. What is the smallest value in b, -4, v? -4 Let u = 0.14 - -1.86. Which is the smallest value? (a) 0.2 (b) u (c) -5 c Let v = -6.6 + 2.6. Which is the second biggest value? (a) -1/3 (b) -2/17 (c) v a Let t = 0.34 - 0.64. Which is the smallest value? (a) 0.2 (b) -0.2 (c) t (d) -0.5 d Suppose 403 = -4*n - o, 0 = -5*n + 2*o + 3*o - 485. Let c be n/28 + 3 - 0. What is the third biggest value in c, -2, 0.12? -2 Let l be (56/(-105))/(-2 - 32/(-10)). What is the second biggest value in 0.3, 5, l, 0? 0.3 Let h be (-6)/(-8)*(-10)/(-30). Which is the fourth smallest value? (a) h (b) 3/4 (c) -4 (d) 0.3 b Suppose 4*t = 8 - 12. Which is the fourth smallest value? (a) t (b) 4 (c) -0.1 (d) 0.1 b Suppose 3*o + 0*p + p + 4 = 0, 0 = p - 2. Let k = 31 + -28. What is the biggest value in o, -3, k? k Let r = -0.13 + -14.87. Let d = r - -15.1. Which is the smallest value? (a) -3 (b) -0.2 (c) d a Let c be ((-38)/76)/(14/16 + 0). Let l = -0.4 - -0.7. What is the smallest value in l, c, 2/7? c Let f = 101/6 - 17. Let n = 2.06 - 0.06. Let y = n + -7. Which is the second smallest value? (a) y (b) f (c) 3 b Let u(g) = -8*g + 2. Let j be u(1). Which is the smallest value? (a) j (b) 0 (c) 2/3 a Let n = -55 - -107/2. Suppose -2*h = h + 3*w - 15, -3*w - 9 = -h. Let i = -3 + h. Which is the second smallest value? (a) n (b) 5 (c) i c Let v = -2 + -1. Let z be (-2)/3*v/4. Let d = 26 + -26. Which is the third smallest value? (a) d (b) z (c) 2/15 b Let h = 1.969 - -0.031. What is the second smallest value in h, 4, -4? h Let d = 0.7 - 1. Let z = 4 + -5. Let t = 1.3 + z. Which is the second smallest value? (a) t (b) -3/4 (c) d c Let z be (-5)/(1125/(-85)) + (-6)/10. Which is the second smallest value? (a) 0.5 (b) z (c) -1/6 c Let i = -597 + 1726/3. Let d = i + 22. Which is the smallest value? (a) -0.1 (b) 0 (c) d a Let k be (1/5)/(3/6). Which is the smallest value? (a) k (b) 0.5 (c) 0 c Let v = 1213 + -625. Let l = v - 582.99. Let o = -0.01 + l. Which is the smallest value? (a) 1/6 (b) 0.1 (c) o b Let t = -6 - -9. Let u = 4.6 - 0.6. Which is the third smallest value? (a) u (b) t (c) 3/4 a Suppose -3 = -4*k - 3*j, -2*j = -5*k - 41 + 16. What is the third biggest value in -3/8, k, 2/5? k Let t = 0.96 + -0.06. Which is the second biggest value? (a) t (b) 0.1 (c) 0.3 c Let y = -0.19 - -0.09. Which is the second smallest value? (a) 3 (b) -1/5 (c) y c Let x be 4/22 + 375/55. Let j = 12 - 11. Let u = x - j. Which is the second biggest value? (a) u (b) -3 (c) 0.2 c Let m be (-10)/35 - 24/14. Let p be (-4)/2*m/(-4). Suppose 0 = 3*j - 8*j + 25, 2*o - 3*j + 15 = 0. What is the second biggest value in o, p, 0.3? o Let s = -1.4 + 0.4. What is the second smallest value in -5, s, -0.2? s Let q = 8.7 + -10. Let t = q - -2. Let r = t - -0.3. Which is the smallest value? (a) r (b) 0.5 (c) 2/5 c Let b(n) = 6*n**3 + 2*n + 2. Let p be b(-2). Let f = p + 199/4. What is the smallest value in -1/9, -3, f? -3 Let x = -0.04 + 0.44. Suppose o + 2 = 3, -2*i = 5*o - 9. Suppose i*g - g = 3. Which is the third smallest value? (a) g (b) -0.2 (c) x a Let y = 45 + -31. Let d(b) = b**2 - 15*b + 16. Let f be d(y). What is the third smallest value in f, 0, 5? 5 Let x = 7 - 7. Let g be (-6)/(-4)*8/3. Suppose -4*d = -g*u + 9 + 7, -u - 14 = 5*d. What is the third smallest value in u, 0.2, x? u Let j = -4.3 + 4.7. Which is the second smallest value? (a) j (b) -5 (c) -4 c Let a = 2/279 + -580/3069. Let y = 0.9 + -0.4. What is the second biggest value in y, -1/9, a? -1/9 Let y = 119/645 + 2/129. Which is the second smallest value? (a) -5 (b) y (c) -6 a Let h(p) = 6*p**3 + 2*p**2 + p. Let u be (-2)/4*(3 - 1). Let o be h(u). What is the biggest value in o, -2/3, -4? -2/3 Let j = 46 + -45.7. What is the third biggest value in -20, 1, -0.5, j? -0.5 Let i = -124 + 621/5. Which is the second biggest value? (a) -2/3 (b) 2/3 (c) i c Suppose 5*w = 2*l + 31, -7 = -2*w + 2*l + 3. Let n be 2 + ((-60)/w)/4. What is the second biggest value in 0.2, -5, n? n Suppose -2*k - n + 0 + 6 = 0, 4*k = -n + 10. Let y be (1/(-14))/(2/8). What is the smallest value in 1, k, y? y Suppose 3*b = -2*b + 10. Let w = -4.5 + 4. Let m = 1 + w. What is the second smallest value in b, m, 0.2? m Let d be (-1)/12*(-3)/2. Let y be 40/(-42) - 14/(-49). Which is the third smallest value? (a) y (b) d (c) -5 b Let j = 2.5 - 2.3. Which is the third smallest value? (a) -2 (b) -1 (c) j c Let v be (-19)/45 - 2/(-9). Let l = -0.56 + 4.86. Let r = -4 + l. Which is the smallest value? (a) r (b) 3 (c) v c Suppose 0 = 3*w + w + 4, w + 9 = -4*o. Let v be (-16)/(-6) - o/(-3). Let b = 2 + v. What is the smallest value in 0.4, b, 2/7? 2/7 Let h = 2.18 - 0.18. What is the biggest value in 1.3, 0, h? h Suppose 2*q = -3*d + 1, -q = 2*d - 5 + 3. Let v be 0*(4 - (-9)/(-2)). Which is the biggest value? (a) q (b) 5 (c) v b Let w = 6.7 - 7. Let i = -3.3 - w. Let t = i - -1. Which is the second smallest value? (a) 4 (b) 2/11 (c) t b Let g be 3*1/(-9)*-3. Let q be (-7)/9 + -1 + 2. Let b = 23 + -24. What is the third biggest value in g, b, q? b Let d be (-1)/((-1)/(-18)) + -1. Let u = d - -96/5. Suppose -10*o = -16*o. What i
{ "pile_set_name": "DM Mathematics" }
) Simplify ((t**(1/3)/t)**(9/7)/(t/(t**(-1)/t))**36)/(t*t**(-3/5)*t/(t*t/t**(-6)))**(14/5) assuming t is positive. t**(-15816/175) Simplify ((j/j**(-2/3))/(j**(-6)/j)*(j/j**6)/(j**5/j))/(((j*j*j**5)/j*j)/j**(-2))**5 assuming j is positive. j**(-136/3) Simplify ((o**(-3/2))**(2/15)*o**4/((o*o**(-1/10)*o)/o))**(2/87) assuming o is positive. o**(1/15) Simplify (z*z**(2/11)*z/((z**1/z)/z*z*z)*z*((z*z**0)/z)/z**(-5))/(z**5*z**(-1/8)*z**(1/3)/z**(2/19)) assuming z is positive. z**(10427/5016) Simplify (q**(-3/4)*q/(q*q/(q*q*q**(-8)/q*q)))**(-50)*(q**4*q)/(q/(q/((q/(q*q**(-3/4)))/q))*q)*(q**(2/7))**33 assuming q is positive. q**(11233/28) Simplify (i**5*i**(-1/5)*(i**(-1))**(2/61))/(((i*i**(-2)/i)/((i/(i/(i*i**(-2/11))))/i))/(((i*i**(7/2))/i)/i**(1/2))) assuming i is positive. i**(32159/3355) Simplify (c/(c/(((c/(c**(-8/5)*c))/c)/c))*c**(-3)*c**17*c*c/(c/((c/(c**32*c)*c)/c))*c)**(6/5) assuming c is positive. c**(-492/25) Simplify (((q/q**(2/7))/q)/q*q*q*q)**(14/3)/((q/(q*(q*q**(-1/4))/q*q))/q*q*q*(q/q**(1/6))/q)*((q/(q**(-1)*q))**(-4/3))**(-1/44) assuming q is positive. q**(1049/132) Simplify (((j*j**(-2/5)/j)/j**(2/3))/(j**(-4)/(j*j*j/(j/((j/(j/j**2))/j))*j*j)))/((j*j*j*j**0/j*j*j)**48*j*j**(-2/15)*j*j**(2/5)) assuming j is positive. j**(-559/3) Simplify (j**(1/8)*j**(1/3))/(j*j/(j*j/(j/j**(-2/5))*j)*j**0)*(j*j**(-1))**(2/33)*(j/(j/(j/j**(-1/3))))/j**(1/5) assuming j is positive. j**(143/120) Simplify ((((g/g**(-2/3))/g)**(8/13)*(g*g**0)**2)**(-7/2))**(-3) assuming g is positive. g**(329/13) Simplify (h*h/((h*h**(-5/9)*h)/h)*h/(h**(-1/11)/h)*(h/(h*h/(h/(h*h**(-4/5))))*h)**27)**(2/9) assuming h is positive. h**(24994/4455) Simplify (w**(-1/3)/(w*(w/(w**(1/5)*w*w))/w*w*w*w))/(w**(1/4))**(-7/8)*(w/(w**(-1/6)*w*w)*w**(-2/3))/(w**(-1/2)/w**3) assuming w is positive. w**(41/480) Simplify (z**1)**(3/13)*(z/(z*z**(-1)))/(z/(z/(z*z**(-4/3)/z)))*((z/((z**(-2)/z)/z*z))/z**(-5/6))/((z/z**(-4/5))/(z/z**(-2))) assuming z is positive. z**(3353/390) Simplify (b/(b/(b*b**(-4)*b*b)*b)*b**(-2/7)*(b/(b**(3/5)*b))/(b*b**(1/7)))/(b**(-8)*b/((b*b/b**(-8))/b))**(-39) assuming b is positive. b**(-21981/35) Simplify (y**(-5)/y**(-4))/(y**(-2/5)/y)**(-2/47)*y**(-1/2)*y**(-1/14)*y*y**(-1/4)*y**(-1/2) assuming y is positive. y**(-9087/6580) Simplify (u**(-3/10)*u/(u/(u/(u**(-1)*u*u)))*u/u**(-1/17)*u**1)**(-36) assuming u is positive. u**(-5382/85) Simplify (y**6*y*y/y**(2/11))**(-18)/((y**(-2/3)/y*y*(y*y/y**6)/y)/(y**(-6)*y*y/y**(2/7))) assuming y is positive. y**(-32189/231) Simplify (g**(13/3)*g*g)**(1/2)*(g/g**28*g)**(-36) assuming g is positive. g**(5635/6) Simplify ((h/h**1)**8*(h**(1/26)/h)/(h/(h/(h*h*h**24*h))))**(2/9) assuming h is positive. h**(-727/117) Simplify (((t**0/t)/t)**(38/5)*(t*t*t*(t/(t/((t*t**(-2/5))/t)*t))/t*t)**(-30))/(t*(t**(2/33)*t*t)/t*t*t/(t**(-8/7)/t*t))**(-15) assuming t is positive. t**(5718/385) Simplify ((k**(-2)/k*k)/k**(-2/23))/((k/(k**2*k*k))/k)**(10/3)*(k/(k**7/k)*k**16)**29 assuming k is positive. k**(22799/69) Simplify ((l/l**(-2/27)*l**(-11))/(l/(l**17/l)*l**(-34)*l))**45 assuming l is positive. l**(5140/3) Simplify (((l*((((l/(l**(-1)*l*l*l))/l)/l*l)/l)/l*l)/l)**(-11/5)/(l**(1/4)/l**5))/((l**(-2/11)/l**(-4/7))/(l**(2/3))**47) assuming l is positive. l**(195397/4620) Simplify (r**(-3)/(r*r**25)*(r/(r*r/(r*r**(-1/4)*r*r)))**(3/19))**(-1/5) assuming r is positive. r**(2183/380) Simplify ((a*a**(-6))/a*a/(a/(a/(a/a**12))))**(-28)/(a**(1/6)*a**(-6)/a)**(2/41) assuming a is positive. a**(-503/3) Simplify ((n**(-3/5)*n**7)/((n/n**(-2)*n*n)/(n**(-1)*n)))/((n*(n*n**(-1/4)/n)/n)**(-3/34))**(-21/5) assuming n is positive. n**(203/136) Simplify a**(2/7)*a*a*a**(-1)*a*a*(a/(a*a**4)*a)/(a*a/(a/(a**(2/37)/a)))*(a/((a**7*a)/a))/((a**(-5)/a)/a)*(a*a**1*a)**8 assuming a is positive. a**(6535/259) Simplify (((c*c**(-1/3)/c)/c**(-20/3))/(c**24/(c*c*c*c*c**8)))**(2/47) assuming c is positive. c**(-34/141) Simplify ((a*a*a/((a/(a*a**(-1/3)))/a))**7)**2*(a**(-2/7)*a*a)**(33/7)*((a*a*a/((a/((a**0/a)/a))/a*a*a))/a)**(-1/49) assuming a is positive. a**(8740/147) Simplify ((y*y/((y/(y*y*y/(y/y**(1/3))*y))/y))/y**7)**12*(y*y**0)**12/(y/(y/(y**(-2/3)*y*y)))**(2/13) assuming y is positive. y**(-320/39) Simplify ((p/(p**(2/35)/p*p)*(p**(-1/4)*p)/p)/(p**(-19)*p**(16/7)/p))**(-2) assuming p is positive. p**(-2577/70) Simplify ((v*v**(1/3))**(-1/22))**(-6/11)/((v**(3/2)/v)**(-26))**(3/5) assuming v is positive. v**(4739/605) Simplify (t*t/(t/(t*t**(6/7)*t)*t)*t/(t/t**(-7))*(t/(t**(1/5)/t*t))/(t**(-3)*t))/(t**(-6/11)/t**(-11/3))**(-6/7) assuming t is positive. t**(513/385) Simplify ((l/l**(-7/4))/l*l**(-11)*(l**(3/2)*l)**(-19))**(-49) assuming l is positive. l**(11123/4) Simplify (((c*c**0)**(-10/11)*c**3*c/(c*c/c**(2/5)))**(-25))**(-2/9) assuming c is positive. c**(820/99) Simplify ((p*p**(-5/4))/p**(2/25)*(p/(p**1/p))**(9/11))/(p**(-1/6)/((p**(-2/5)*p)/p))**(-29) assuming p is positive. p**(23941/3300) Simplify (i**1/(((i/i**(-3))/i)/i)*(i**(-1)*i)**34)/(i*(i/(i/(i/i**(-3))))/i*i**3)**5 assuming i is positive. i**(-36) Simplify (b**(-1/10)*(b*b*b/(b/b**5))/b)/(b**(-2)/b)**(-1/2)*(b*b/b**(-8)*b*b*(b/b**(-2/9))/b*b)/(b**(6/5)/b*b*b*b/(b**(5/3)*b)) assuming b is positive. b**(769/45) Simplify ((((s/s**(3/8)*s)/s)/s*s**3)/((s/s**(-1))/((s**(-5/4)/s*s)/s)))/(s*s**9/s*s**4*s*s**(4/5)/s*s*(s**(2/17)*s)/s*s) assuming s is positive. s**(-11929/680) Simplify ((m**0)**(-2/25)/(m**1)**(7/6))/((m*m/(m*(m/(m/((m*(m*m/m**5)/m)/m)))/m)*m**(-1/4))/(m**3/(m*m/(m*m*m**0)*m*m*m*m))) assuming m is positive. m**(-95/12) Simplify ((m/(((m/((m*m/m**(2/5)*m)/m))/m)/m)*m)**0)**(-16)*m**0*m**(-2/7)/m*m**(-3)/m**(4/3) assuming m is positive. m**(-118/21) Simplify ((y*(y**(5/4)*y)/y)/y*y**8*(y*y**(-1/2))**32)**(-31) assuming y is positive. y**(-3131/4) Simplify d**(-3)*d/(d*d*d**(2/11)/d*d)*d*(d**(-1)*d)/(d/d**(-3/2))*(d/((d**0/d)/d))**(-1)/(d**(1/11)/(((d/d**2)/d)/d)) assuming d is positive. d**(-259/22) Simplify ((o/o**(1/7)*o)/o)**(-2/47)/((o*o**(-1/66)*o)/(o*(o/(o**4*o))/o)) assuming o is positive. o**(-130747/21714) Simplify ((j/(j/(j/j**(-2/21))))/j**6)/(j*j**(1/4))**(3/10)*j**(-3/2)*j*j**(-1)*j*(j**(-6)/j)/j**1 assuming j is positive. j**(-2315/168) Simplify (d**(-2/11)*d*d*(d/(d*d**(1/13)/d*d))/d*d**(1/5)/(d**5*d*d))/(d/(d*d*(d/(d*d/(d/(d*(d**6/d)/d))))/d*d)*d*d**6)**(-7/11) assuming d is positive. d**(673/715) Simplify ((o/(o**(1/2)/o))**(-18)*o**(-1/9)/(o*o**(-7)/o*o*o))/((o**0)**(-40))**(2/117) assuming o is positive. o**(-199/9) Simplify ((t/(t*t**(2/15))*(t**(2/15)/t*t*t)/t*t)/(t*t*t/((t**0/t)/t)*t*t*t)**13)/(t/(t**(2/7)*t*t)*t**(-4))**(-9/5) assuming t is positive. t**(-3938/35) Simplify ((((t/(t*((t**3*t)/t*t)/t*t)*t*t)/t)/(t*t**(-1/2)/t*t*t*t))/((t/t**3*t*t)/t)**(-2/15))**(10/11) assuming t is positive. t**(-169/33) Simplify ((h**(-2/7))**(-17))**(-9/2)/((h*h**(-2/5))**(-47))**15 assuming h is positive. h**(2808/7) Simplify ((y*y**2)**36)**40*((y**1)**24)**(-25) assuming y is positive. y**3720 Simplify ((v/(v*v*v/v**(-8)))/v*v**(-2/3)/v*(v*v*(v*v**(4/3)*v)/v*v)/(v*v**(2/9)*v))**(-33) assuming v is positive. v**(946/3) Simplify ((p**(2/101)*p)/p)**(-37)/(p**(-15))**(-1/58) assuming p is positive. p**(-5807/5858) Simplify ((p/((p*p*p*p**(9/4)/p*p*p)/p)*p**19)/(((p**(-1/20)*p)/p)/((p**(-2)*p)/p)))**26 assuming p is positive. p**(1664/5) Simplify x**2/(x*x*x*x/(x*x**(-1/5)/x*x))*(x*x/(x/(x/x**(-1/4))))**(-7/11)*(x*x/x**(-2/7)*x)**(-2/61)*(x**(-1))**(2/63) assuming x is positive. x**(-2343017/845460) Simplify (k**(4/11)/k*k*(((k/k**16)/k)/k)/k*k**19/((k**(2/11)/k)/k))**(3/10) assuming k is positive. k**(21/22) Simplify ((i**(-3/4))**(-19))**(-2/73)/(((i*i*(i**(-1/2)/i)/i)/i)**(-11/7)*i**(1/6)/(i**(-7)*i)) assuming i is positive. i**(-27331/3066) Simplify (b**(-24)/(b**(-17)/b*b)*(b**28/b*b*b)/b**18)**(3/44) assuming b is positive. b**(3/11) Simplify ((o**(-1)*o)/(o*o/(o*o**(2/7))))**(-37)*(o**4*(o**(1/4)/o)/o)**46 assuming o is positive. o**(1819/14) Simplify (l**(5/2)/(l/l**(-1/10)))**(-14/5)/(((l*l**(1/3))/l*l**(-1))/((l*l**(-8)/l)/l**(-3/10))) assuming l is positive. l**(-1643/150) Simplify ((i/((i**13*i)/i))/(i**9/i))**45*((i*i**4)**41)**(-6) assuming i is positive. i**(-2130) Simplify (g**(-4)*g*g/g**(-5))**25*(((g/(g*g**(-1/4)*g))/g)/(g**(-4/3)*g))**(-4/5) assuming g is positiv
{ "pile_set_name": "DM Mathematics" }
-b**8/5040 + b**5/10 + 6*b**2. Let q(d) be the third derivative of h(d). Calculate q(v(z)). -4*z**2 Let g(w) = 1810*w**2 - w + 2. Let r(u) = 7*u. Determine r(g(x)). 12670*x**2 - 7*x + 14 Let w(q) = q. Let t(z) = 0*z**2 - 6*z**2 - 41*z + 41*z. Give t(w(r)). -6*r**2 Let i(z) = -11*z - 6. Let h(g) = 89*g**2. Determine i(h(q)). -979*q**2 - 6 Let z(x) = x. Let y(m) = 936 - 936 + m. Suppose 5*w = 4*w - 1. Let v(l) = w*y(l) + 5*z(l). Let u(j) = 2*j. Calculate u(v(s)). 8*s Let b(y) be the second derivative of 1/12*y**4 + 5*y + 0 + 0*y**3 + 0*y**2. Let n(g) = -2*g**2. What is n(b(a))? -2*a**4 Suppose 2*l - 30 = 3*l. Let h be (l/(-20))/((-6)/(-8)). Let o(a) = -8*a**2 - 2*a**h + 9*a**2. Let p(n) = n**2. Calculate o(p(j)). -j**4 Let n(z) = z**2. Let a(k) = -1395*k. Give n(a(w)). 1946025*w**2 Let s(j) = j**2. Let c(a) = -30*a**2 + 9*a. Give s(c(v)). 900*v**4 - 540*v**3 + 81*v**2 Let r(x) = -6*x**2. Let i(v) = 31*v**2. Let a(g) = 2*i(g) + 11*r(g). Let o be 1 + (0 - -2)/2. Let t(s) = 0*s**2 + 13*s - 13*s - 2*s**o. Determine t(a(f)). -32*f**4 Let v(h) = 81*h. Let a(l) = -l. Give v(a(j)). -81*j Let z(d) = d + 1. Let s(n) = -8*n - 6. Let h(c) = -s(c) - 6*z(c). Let i(k) = 0*k**2 + 0*k + 0*k - k**2. Calculate i(h(j)). -4*j**2 Let u(t) = -3*t**2. Let o(c) = -2*c**2 - c. Calculate u(o(i)). -12*i**4 - 12*i**3 - 3*i**2 Let t(g) = -g**2. Let u(i) = -i**3 + 8*i**2 + i - 6. Let a be u(8). Let o(d) = 3*d**a + d - d - 2*d**2. Calculate o(t(r)). r**4 Let i(s) = 33005 - 33005 - 19*s**2. Let b(j) = -2 + 2*j + 2. Give i(b(p)). -76*p**2 Let n(x) = -108*x**2. Let y(j) = j - 12. Calculate n(y(i)). -108*i**2 + 2592*i - 15552 Let v(g) = -6*g**2 + 5*g. Let x(o) = -12*o. Determine x(v(r)). 72*r**2 - 60*r Let w(o) = -57*o. Let f(b) = -3*b. Let i(s) = 63*f(s) - 3*w(s). Let a(c) = 2*c**2. Give i(a(t)). -36*t**2 Let v(r) = -3*r**2 + 2*r - 2. Suppose 0 = 2*f, u - 1 = -3*f + 1. Let w(i) = i**2 - i + 1. Let c(s) = u*w(s) + v(s). Let x(g) = -g. Give c(x(z)). -z**2 Let t(p) = -p. Let r(b) be the third derivative of 5*b**4/8 - 2*b**2. Calculate t(r(x)). -15*x Let z(t) = t**2. Let f(x) = 1. Let r(q) = 17*q**2 + 102. Let g(l) = -102*f(l) + r(l). What is g(z(j))? 17*j**4 Let j = 2 + 2. Let p(o) = j*o - o + 0*o - o. Let w(m) = -m**2. Give p(w(r)). -2*r**2 Let y(v) = -22*v**2. Let k(i) = -67*i + 4 - 4 + 66*i. Determine k(y(g)). 22*g**2 Let x(n) = 19*n**2. Let u(i) = 4*i**2. What is x(u(l))? 304*l**4 Let j(g) = 2*g + 6 + 0*g - 6. Let q(y) = y**2 - 2*y. Let n(b) = -b**2 + b. Let o(c) = 4*n(c) + 2*q(c). Determine o(j(m)). -8*m**2 Let z(s) = -436*s. Let w(p) = -p**2. Calculate z(w(h)). 436*h**2 Let c(x) = -480*x**2. Let m(q) = 4*q. Give m(c(u)). -1920*u**2 Let u(x) = -2*x. Let i(q) be the second derivative of 0 + 0*q**2 + 5*q - 2/3*q**3. Determine u(i(f)). 8*f Let b(w) = -w**2. Let r be 7/21 + (-4)/(-6). Let y(t) = -t. Let g(o) = -6*o. Let x(p) = r*g(p) - 8*y(p). Calculate b(x(s)). -4*s**2 Let m(o) = 3. Let n(k) = k - 7 + 3 + 4 + 1. Let g(p) = m(p) - 3*n(p). Let v(r) = -2*r**2. Determine v(g(y)). -18*y**2 Let l(j) = 4268*j**2. Let w(o) = -3*o**2. Give w(l(q)). -54647472*q**4 Let b(z) be the third derivative of -z**5/60 + 13*z**2. Let i(c) = c. Calculate b(i(s)). -s**2 Let f(v) = -10*v. Let r(z) = 7*z. Give f(r(c)). -70*c Let k(r) = 48*r**2. Let d(z) = -2*z**2. Determine d(k(j)). -4608*j**4 Let i(o) = -2*o. Let g(u) = -4*u**2 + 6 + 0*u + 5*u**2 + 5*u. Let p be g(-4). Let b(h) = -h**p + 4*h**2 - h**2. Give b(i(s)). 8*s**2 Let k(f) = 6087*f**2. Let i(a) = 2*a. Determine i(k(r)). 12174*r**2 Let v(w) = -14*w - 20*w + 60*w. Let c(i) = -i. What is c(v(p))? -26*p Let y(m) = -5*m**2. Let c(b) = 43*b - 2. What is c(y(v))? -215*v**2 - 2 Let p(v) = 26*v + 8. Let u(z) = -9*z - 3. Let k = 7 + -4. Let s(w) = k*p(w) + 8*u(w). Let x(c) = -2*c**2. Give s(x(g)). -12*g**2 Let k(d) = 7*d**2 + 6. Let n(h) = -5*h + 3 + 2 + 5*h + 6*h**2. Let x(o) = 5*k(o) - 6*n(o). Let f(l) = -2*l. Give x(f(z)). -4*z**2 Let j(r) = 2*r. Let c(u) be the second derivative of 0*u**2 + 3*u + 0 + 5/6*u**3. Calculate c(j(q)). 10*q Let a(z) = -z**2. Let k(f) = 13*f - 9*f + 11*f. Determine a(k(j)). -225*j**2 Let d(t) = 39*t - 7. Let o(x) = -3*x**2. Determine o(d(m)). -4563*m**2 + 1638*m - 147 Let u(j) be the second derivative of -j**4/12 - 21*j. Let i(o) = -6*o**2 - 1. Give u(i(n)). -36*n**4 - 12*n**2 - 1 Suppose -4*c - 2*o + 105 = 21, 92 = 4*c - 2*o. Let x(s) = 17*s + 5. Let p(d) = 77*d + 22. Let j(k) = c*x(k) - 5*p(k). Let t(b) = b. Calculate t(j(v)). -11*v Let z(f) = 2*f - 9. Let b(n) = -n + 4. Let k(q) = -9*b(q) - 4*z(q). Let p be 6/4*(-8)/(-6). Let y(l) = l**p + l**2 - l**2. Give y(k(o)). o**2 Let y(h) = -9*h. Let n(k) = 63*k. Calculate n(y(g)). -567*g Let h(b) = 2*b + 2. Let n(t) = t. Let l(c) = c + 5. Let p(s) = -l(s) - 3*n(s). Let i(w) = 5*h(w) + 2*p(w). Let u(o) = -3*o. Determine u(i(g)). -6*g Let p(l) be the second derivative of 11*l**3/6 + 7*l. Let x(u) = -7*u**2 + 6*u - 6. Let y(f) = -f**2 + f - 1. Let z(b) = x(b) - 6*y(b). Calculate z(p(m)). -121*m**2 Let a(h) = -h + 1. Let f(t) = t**2 - 6*t + 6. Let g(k) = -6*a(k) + f(k). Let p(w) = 3*w - 3*w + 3*w - 5*w. Determine g(p(d)). 4*d**2 Let n(a) = -166*a. Let b(o) = -4*o. Calculate b(n(k)). 664*k Suppose 5*c = -11 - 4, -5*c = -5*h + 45. Suppose -3*a - h = -5*a. Let w(g) = 0 - g + a*g + 0. Let j(x) = -2*x. Calculate w(j(l)). -4*l Let v(w) = 4*w**2. Let m(b) = -5*b**2 - 11. Let t be (-5)/(-2)*(-16)/(-10). Let x(s) = s**2 + 2. Let g(u) = t*m(u) + 22*x(u). Give g(v(i)). 32*i**4 Let i(v) = 2*v**2. Let q(z) = 4 + 0*z + 4*z - z - 4*z. Let s be q(4). Let c(n) = n**2 + s*n**2 + n**2. Determine i(c(t)). 8*t**4 Let h(k) = 0*k**2 + 4*k**2 - 7*k**2. Let s(w) = 11*w. Give h(s(b)). -363*b**2 Let z(q) = 8*q + 2. Let d(r) = -6*r. Determine z(d(a)). -48*a + 2 Let u(h) be the second derivative of -h**3/3 + 25*h + 1. Let a(v) = -29*v**2 + 2*v. Determine a(u(w)). -116*w**2 - 4*w Let o(j) = -21*j**2 - 20*j**2 + 40*j**2. Let v(g) be the first derivative of g**3 + 1. Give o(v(d)). -9*d**4 Let l(j) = j. Let x(o) = 83*o + 9. Give l(x(d)). 83*d + 9 Let v(k) = 11*k**2. Let b(z) = 361*z**2. Give b(v(m)). 43681*m**4 Let h(i) = 2*i. Let q(f) = 4*f. Suppose 3*j + 0 = 5*u - 6, 0 = -u. Let d(v) = j*q(v) + 5*h(v). Let r(t) = -t. What is r(d(b))? -2*b Let s(x) = 5*x**2 + 6. Let u(l) = 5*l**2 + 5. Let z(c) = 5*s(c) - 6*u(c). Let p(i) = -1 - 2*i + 1. Calculate z(p(r)). -20*r**2 Let a = 46 - 25. Let w(z) = -23*z - 1 + 1 + a*z. Let f(u) = 14*u. Give w(f(q)). -28*q Let y(n) = -52*n. Let d(f) be the first derivative of f**2 - 9. What is y(d(w))? -104*w Let k(o) = -3*o + 4. Let x(w) = 5*w - 7. Let q be -8 - (-2 + 4/(-2)). Let m(b) = q*x(b) - 7*k(b). Let v(i) = 5*i**2. Determine v(m(f)). 5*f**2 Let n(d) = 2*d + 3. Let f(w) = -4*w - 7. Let s(k) = 3*f(k) + 7*n(k). Let x(o) = 4*o**2. Give x(s(h)). 16*h**2 Suppose 2*v + 35 = 7*v. Let w(o) = -v*o + 0*o + 4*o. Let l(s) = 0 - 3*s**2 + 0. Give w(l(r)). 9*r**2 Let j(y) be the third derivative of -13*y**4/24 - 3*y**2. Let q(z) = -2*z. Give q(j(w)). 26*w Let r(i) be the second derivative of -i**5/30 - 3*i**2/2 + 4*i. Let a(v) be the first derivative of r(v). Let p(b) = -b. Calculate a(p(k)). -2*k**2 Let c(f) = 2*f - 7. Let z(g) = -g + 4. Let l(x) = 4*c(x) + 7*z(x). Let t(r) = -6*r. What is l(t(m))? -6*m Let s(j) be the first derivative of j**2 - 1. Let i(p) be the third derivative of -p**5/60 + 9*p**2. Determine i(s(t)). -4*t**2 Let b(h) = -h**2 + 5*h + 3. Let w be b(5). Let s(p) = p - p - w*p. Let z(u) = -4*u + 2*u + 0*u. Give s(z(r)). 6*r Let h(g) = -2*g - 4. Let c be h(-4). Let q(t) = -2*t + c*t + t. Let i(a) = 2*a - a + 3*a - 5*a. What is i(q(z))? -3*z Let s(a) = 3*a**2. Let n(d) = -2*d**2. Let q(r) = 7*n(r) + 5*s(r). Suppose -2*k = 3*k. Let z(t) = k*t + t - 3*t. Determine q(z(w)). 4*w**2 Let h(f) = f**2. Suppose 8*t - 11*t = -6. Let p(z) be the third derivative of 0*z**3 + 0*z + t*z**2 + 0 - 1/8*z**4. Give h(p(g)). 9*g**2 Let q(k) = -k**2. Let w(g) be the second derivative of 37*g**4/12 - 12*g. What is w(q(n))? 37*n**4 Let x(a) = 6*a. Let q(v) = 2*v. Let o(n) = 3*n. Let y(t) = t. Let b(l) = 2*o(l) - 5*y(l). Let k(g) = -3*b(g) + q(g). Calculate k(x(h)). -6*h Let z(u) = -4 - 120*u**2 + 4 + 122*u**2. Let v(c) = c. Let k(g) = 4*g. Let p(h) = -6*k(h) + 26*v(h). Determine z(p(d)). 8*d**2 Let
{ "pile_set_name": "DM Mathematics" }
ng order. 15, -1, -2 Sort -1357, 3, -2 in descending order. 3, -2, -1357 Sort -5, 18, 1, -2. -5, -2, 1, 18 Sort 6, 0.4, 2, -3/16 in descending order. 6, 2, 0.4, -3/16 Sort -5, 275, 3 in descending order. 275, 3, -5 Sort 4, 0.2, 1/6, 1/33. 1/33, 1/6, 0.2, 4 Put -4/23, -2, 1/2 in descending order. 1/2, -4/23, -2 Sort 0.08, -0.3, -1/5, -7, 0 in descending order. 0.08, 0, -1/5, -0.3, -7 Sort -1039, 2, -3 in increasing order. -1039, -3, 2 Sort -2, -23, 4, 0.09 in descending order. 4, 0.09, -2, -23 Put 0, -8, 2, -0.8 in increasing order. -8, -0.8, 0, 2 Sort 24/59, -2, 3/5 in decreasing order. 3/5, 24/59, -2 Sort 3, 5, -8, -4 in descending order. 5, 3, -4, -8 Put 2/7, 2/29, 4, 13/5 in increasing order. 2/29, 2/7, 13/5, 4 Sort 3, -19, -23 in increasing order. -23, -19, 3 Sort -11, 6, -7, 4, -1 in descending order. 6, 4, -1, -7, -11 Sort -9, -1/5, 0.04, 0.3 in increasing order. -9, -1/5, 0.04, 0.3 Put -5, -4.3, -35 in decreasing order. -4.3, -5, -35 Sort -2/13, -0.14, -4, -5, 103 in descending order. 103, -0.14, -2/13, -4, -5 Sort -3, 5, -5, 23 in ascending order. -5, -3, 5, 23 Put -2/3, 0.5, -26 in descending order. 0.5, -2/3, -26 Put 14, 2, -3, -2 in increasing order. -3, -2, 2, 14 Sort 3, -1, -5, -79, 8 in ascending order. -79, -5, -1, 3, 8 Sort -0.08, 5, -0.1, 4. -0.1, -0.08, 4, 5 Sort 0.5, -0.11, 1/523. -0.11, 1/523, 0.5 Put 8, 4, -3, 0 in descending order. 8, 4, 0, -3 Sort -3, -1, 0, 1. -3, -1, 0, 1 Sort 0.04, 1, -2 in increasing order. -2, 0.04, 1 Put 1, -0.1, 0.04, -8 in descending order. 1, 0.04, -0.1, -8 Sort 5, -6, -4 in decreasing order. 5, -4, -6 Put -116/13, 1/3, -2 in ascending order. -116/13, -2, 1/3 Put -1, -93, 2, 3, 0 in descending order. 3, 2, 0, -1, -93 Sort -209, -3, 0.5 in ascending order. -209, -3, 0.5 Sort -4, 6, -0.12, 0.1, 1. -4, -0.12, 0.1, 1, 6 Put -0.67, -1, 4, 3/5 in descending order. 4, 3/5, -0.67, -1 Sort 2/7, 1/7, -1 in descending order. 2/7, 1/7, -1 Put -3, -9, -5 in decreasing order. -3, -5, -9 Put 2/15, -5, 7, -0.01 in descending order. 7, 2/15, -0.01, -5 Sort -5, -4, 2, 58 in descending order. 58, 2, -4, -5 Put -22, -69, 3 in decreasing order. 3, -22, -69 Sort 11, -3, 0 in increasing order. -3, 0, 11 Put 5, -0.1, 1/5, -4 in descending order. 5, 1/5, -0.1, -4 Sort -1, -4, 1, 29 in descending order. 29, 1, -1, -4 Sort -1, -2, -16, -13. -16, -13, -2, -1 Sort 3, -0.4, -1/883. -0.4, -1/883, 3 Sort -6, -0.9, -61. -61, -6, -0.9 Sort -20, -2, -7, -5 in descending order. -2, -5, -7, -20 Sort 2, -10, -5, -8. -10, -8, -5, 2 Sort -3, -4, -263. -263, -4, -3 Put -1, 7, 5 in descending order. 7, 5, -1 Sort -6, 0, 68, 5 in ascending order. -6, 0, 5, 68 Put -66, -1, 1, 4, 10 in decreasing order. 10, 4, 1, -1, -66 Put -6, 25, -0.2 in decreasing order. 25, -0.2, -6 Sort 45, -8, -5, 4 in increasing order. -8, -5, 4, 45 Put -3, -1, -17, -2 in decreasing order. -1, -2, -3, -17 Sort -3, 3, -289 in descending order. 3, -3, -289 Sort 1, 0, 11. 0, 1, 11 Put 1, -1, -100, -2, 5 in increasing order. -100, -2, -1, 1, 5 Sort -0.4, 2099, -0.3 in decreasing order. 2099, -0.3, -0.4 Sort 4, -5, 5, -16, 2 in decreasing order. 5, 4, 2, -5, -16 Sort -5, 31, -6, 17, -2 in ascending order. -6, -5, -2, 17, 31 Put 4, 5, -1, 150, -2 in increasing order. -2, -1, 4, 5, 150 Sort 5, 1, -52. -52, 1, 5 Sort -0.8, 3, -0.5 in descending order. 3, -0.5, -0.8 Sort 5, -0.5, 15.9 in descending order. 15.9, 5, -0.5 Sort 3, 0, -1, -23. -23, -1, 0, 3 Sort 90, 4, -14 in descending order. 90, 4, -14 Sort 1/2, 2, -0.2, 24 in ascending order. -0.2, 1/2, 2, 24 Sort -41, -4, 5. -41, -4, 5 Sort -3, -2, 2, 12. -3, -2, 2, 12 Sort -3/7, 1, 3, 0.4, 56/5. -3/7, 0.4, 1, 3, 56/5 Put 116, 4, -6, 2, -3 in ascending order. -6, -3, 2, 4, 116 Sort 2, 5, -6, 3 in decreasing order. 5, 3, 2, -6 Sort 3/8, -20, -0.4, 0. -20, -0.4, 0, 3/8 Sort 1, 6, -3, -12. -12, -3, 1, 6 Put -3/2, -5, 0.5, 3/10, 5 in ascending order. -5, -3/2, 3/10, 0.5, 5 Sort -4, -2, 168/11, 0.5, -0.2 in ascending order. -4, -2, -0.2, 0.5, 168/11 Sort -2, 4, 860 in ascending order. -2, 4, 860 Sort -3, 3, 4, 0. -3, 0, 3, 4 Sort 1, 17, -3, 2 in descending order. 17, 2, 1, -3 Put 0, -3, -2, 4 in ascending order. -3, -2, 0, 4 Put -18, 3, 0.01 in decreasing order. 3, 0.01, -18 Put -5, -1, -2/13, -2/29 in descending order. -2/29, -2/13, -1, -5 Sort -3/5, -5/6, -5, 2/189 in decreasing order. 2/189, -3/5, -5/6, -5 Put 2, -31, 1 in ascending order. -31, 1, 2 Sort 5, -2, -2783. -2783, -2, 5 Sort -3, 2, -1, -4. -4, -3, -1, 2 Sort 0, 1, -6, 3 in descending order. 3, 1, 0, -6 Sort 8, -6, -5, 5. -6, -5, 5, 8 Put 596, -4, 0 in ascending order. -4, 0, 596 Put 0.064, -2, -0.1, 2/13 in decreasing order. 2/13, 0.064, -0.1, -2 Put -2, 923, -1 in increasing order. -2, -1, 923 Sort -553, -0.4, -2/11. -553, -0.4, -2/11 Sort -4, -7, -6, 3, -2. -7, -6, -4, -2, 3 Put -124, -5, 4 in descending order. 4, -5, -124 Put -5, -4, -11, -2 in decreasing order. -2, -4, -5, -11 Put -1/4, 9, 1, 0.5 in decreasing order. 9, 1, 0.5, -1/4 Put 5, -2, -1381, 3 in ascending order. -1381, -2, 3, 5 Put 2/15, -2, -122 in ascending order. -122, -2, 2/15 Put -9, 4, -5, 3 in descending order. 4, 3, -5, -9 Put 0.3, 0.5, -2/7, 1/3, 1/15 in descending order. 0.5, 1/3, 0.3, 1/15, -2/7 Put -3, 70, 0, -17 in ascending order. -17, -3, 0, 70 Put 44/35, 1/2, 2/7, 5 in ascending order. 2/7, 1/2, 44/35, 5 Sort 4, 3, -9 in descending order. 4, 3, -9 Put -1, -161, -4 in decreasing order. -1, -4, -161 Put 3, 0, -221 in descending order. 3, 0, -221 Sort 0.1, -2, 7, 1/12. -2, 1/12, 0.1, 7 Put -1, -28, 7 in decreasing order. 7, -1, -28 Sort -0.1, 4/73, -0.4 in increasing order. -0.4, -0.1, 4/73 Put 2, -4, 12 in decreasing order. 12, 2, -4 Put 14, 2, -78 in increasing order. -78, 2, 14 Sort 3, 22, 220 in descending order. 220, 22, 3 Sort 5, 28, 1, 3 in decreasing order. 28, 5, 3, 1 Sort 3, 0.5, -0.0536 in decreasing order. 3, 0.5, -0.0536 Sort 1, -3, -4, 18, 2 in ascending order. -4, -3, 1, 2, 18 Put 2/17, 9, -0.3, 1/13, 0 in decreasing order. 9, 2/17, 1/13, 0, -0.3 Sort -2/17, -1/4, -2/41 in descending order. -2/41, -2/17, -1/4 Sort 0.2, -4, 2, 0.7. -4, 0.2, 0.7, 2 Put 4, -28/3, -5 in decreasing order. 4, -5, -28/3 Sort 0, 2, -6, -60. -60, -6, 0, 2 Put 0.78, 17, 0.1 in ascending order. 0.1, 0.78, 17 Sort 5, -8, -5 in increasing order. -8, -5, 5 Sort -1, -17, -10 in increasing order. -17, -10, -1 Sort 44, -5, 4 in increasing order. -5, 4, 44 Put -5/3, 0, -4, -9 in descending order. 0, -5/3, -4, -9 Put -2, 1, -3, 6, 4 in descending order. 6, 4, 1, -2, -3 Put 0.4, -6, 1 in decreasing order. 1, 0.4, -6 Sort -4, 1, 5, -159 in decreasing order. 5, 1, -4, -159 Put -1, -5, 3, 22 in decreasing order. 22, 3, -1, -5 Sort 6/7, 3.1, -2/19. -2/19, 6/7, 3.1 Put 2, -2, -2/3, -11 in increasing order. -11, -2, -2/3, 2 Sort 3, -25, -1. -25, -1, 3 Sort 5/4, -3, -2/15, 22 in decreasing order. 22, 5/4, -2/15, -3 Put 2, 59, -1/2, 3, -0.02 in descending order. 59, 3, 2, -0.02, -1/2 Put -3, 4, -1, 5 in decreasing order. 5, 4, -1, -3 Put 5, -1, 4, 43, -3/2 in descending order. 43, 5, 4, -1, -3/2 Sort 0.5, 0, -4, -0.18. -4, -0.18, 0, 0.5 Put 1/3, 135, 2/9 in decreasing order. 135, 1/3, 2/9 Put -25, 5, 13 in descending order. 13, 5, -25 Put -2, -91, -16, -5 in ascending order. -91, -16, -5, -2 Put -3, 1, -4, -163 in ascending order. -163, -4, -3, 1 Put 4, 1, 2, 10 in increasing order. 1, 2, 4, 10 Sort 4, 5, -10, -3, 3 in descending order. 5, 4, 3, -3, -10 Put 36, -16, 3, 4 in ascending order. -16, 3, 4, 36 Sort 0.5, -2/25, 0, -1. -1, -2/25, 0, 0.5 Put 29, 2, 4, 10, -2 in ascending order. -2, 2, 4, 10, 29 Sort -4, 0, 7947. -4, 0, 7947 Sort 5, -1, -4, -2 in decreasing order. 5, -1, -2, -4 Sort -1, -0.3, -1/3, -0.21 in descending order. -0.21, -0.3, -1/3, -1 Sort -4.348, -0.4, -2. -4.348, -2, -0.4 Put 1, 10, 3, 11, -4 in ascending order. -4, 1, 3, 10, 11 Put -2/3, 3, 0.3, 117 in descending order. 117, 3, 0.3, -2/3 Put 239/2, -0.2, 5 in descending order. 239/2, 5, -0.2 Put 0.3, -0.5, -46, -0.3 in descending order. 0.3, -0.3, -0.5, -46 Sort 1260, 2/7, -4 in decreasing order. 1260, 2/7, -4 Put -4, 29, -3 in decreasing order. 29, -3, -4 Sort 0, 37, -1, 2 in decreasing order. 37, 2, 0, -1 Put -158, -30, -1 in ascending order. -158, -30, -1 Sort 1, 0, -4 in increasing order. -4, 0, 1 Sort 1, 4, 2, -15 in descending order. 4,
{ "pile_set_name": "DM Mathematics" }
/98)/(30/370) and -13/63. 441 Suppose -51*l + 1716 = -40*l. What is the lowest common multiple of l and 234? 468 Let a = -386 + 397. What is the least common multiple of 20 and a? 220 Suppose -4*k = -3*g + 49, 0*g = g + 5*k - 29. Let v = g - 3. What is the lowest common multiple of v and 14? 112 Suppose 0 = -t + 2*t - 28. Suppose 0*v - 84 = 3*v + 4*i, -v = -2*i + t. Calculate the lowest common multiple of (-162)/(-21) - 8/v and 7. 56 Let g = 5422609/15 - 360692. Let c = g - 814. Find the common denominator of c and -11/3. 15 Let o = -246 + 248. What is the smallest common multiple of 339 and o? 678 Suppose -4*z + n + 131 + 15 = 0, -10 = 5*n. Suppose -5*m + z = -2*m. Suppose 0 = 10*b - 39 - 15 - 6. Calculate the least common multiple of b and m. 12 Let l = 23 + -15. Suppose 137 = 4*o + 4*y - 95, -2*y - 2 = 0. Suppose 4*m - o = -0*c + c, -4*c - 28 = -3*m. What is the lowest common multiple of m and l? 16 Let w = 595775 - 1808383/3. Let u = -252821/36 - w. What is the common denominator of u and 27/16? 144 What is the common denominator of (1/7)/(6*6/693) and (-441)/230 + 3/15? 92 Find the common denominator of 149/6 and (-1437)/252 - 26/(-91). 12 Let u = -1275 - -1547. What is the smallest common multiple of u and 32? 544 Find the common denominator of -48 and (-2)/(-9) + (-1529)/(-198) - 1. 18 Let a = 82 - 24. What is the lowest common multiple of 568/(-852)*(-1)/(-2)*-3 and a? 58 Let x = -2/28133 + 225598/7511511. Let g = -1146/623 + x. What is the common denominator of g and 151/6? 42 Let z = 2866 + -438508/153. Calculate the common denominator of z and -8/3. 153 Suppose -i + 1566 = 1544. Suppose -3*r = -7*o + 3*o - 12, -r = 2*o - 4. Suppose o = 3*t - 0*t - 24. What is the least common multiple of i and t? 88 What is the common denominator of -59/24 and (-4568)/(-1632) + 8/68? 24 What is the smallest common multiple of (((-156)/14)/(-1))/((-16)/(-560)) and 10? 390 Suppose -2 + 202 = 2*g. Find the common denominator of ((-1337)/g)/(-7) + -3 and -37/10. 100 Suppose -12 = 4*f, 4*k - 11*f - 157 = -12*f. What is the smallest common multiple of 40 and k? 40 Suppose 3*p + 0*p + 2883 = -3*z, 4*z = -16. Let n = p - -3789/4. Find the common denominator of n and 345/50 - 2/(-5). 20 Suppose k - 90 = -2*k. Calculate the common denominator of ((-186)/8)/(k/(-20)) and -77/20. 20 Let i be -2 - (482220/56)/5. Let h = 1723 + i. Calculate the common denominator of -31 and h. 14 Suppose q - 6 + 3 = 0. Suppose 0 = q*u + 10 - 40. What is the lowest common multiple of u and 22? 110 Suppose 9*d = d - 160. Let g(u) = u**2. What is the lowest common multiple of (-15)/(-1) + d/4 + 2 and g(-4)? 48 Let l(n) = 94*n + 2. Let g be l(3). Let c be (g/(-6))/((-1)/(-3)). Let v = 305/2 + c. What is the common denominator of 115/6 and v? 6 Let f = -937137/11938 + 2/5969. Let r = f + 80. Find the common denominator of 53/9 and r. 18 Let z(j) = 8*j - 33. Let o = -22 + 33. What is the least common multiple of z(5) and o? 77 Let x(s) = -2*s**2 + 15*s + 3. Calculate the lowest common multiple of 12 and x(7). 60 Suppose 118*c + 2520 = 130*c. Calculate the lowest common multiple of c and 112. 1680 Calculate the common denominator of -65/24 and 1 + -6 + -3*(-4186)/2688. 192 Suppose 4*w = -0*w - 4*b + 64, -5*w + 98 = -4*b. Let v = -766 + 784. Calculate the lowest common multiple of w and v. 18 Let j = -1 - -4. Suppose -j*n = -0*n - 18. Suppose -n*g = -7*g + 18. What is the lowest common multiple of 10 and g? 90 Let f = 214 - 135. Suppose r + 2*o - 37 = 0, -3*r - 5*o + f = -30. What is the least common multiple of r and 30? 330 Suppose -b = 5*s - 4*b - 24, 0 = 5*b - 10. Suppose 161 = v + 3*v + 3*q, -35 = -v + q. Calculate the least common multiple of v and s. 114 Let k = 189/4 + -135/4. Let x = 2/1331 + 49227/13310. What is the common denominator of x and k? 10 Suppose 5*c = 4*q + 3630, -2*q + 717 = 2*c - 717. Let i = -1610 + c. What is the common denominator of (-2)/(-7) - i/126 and 59/2? 6 Let u = 4807 + -8798. Let t = -2545 - u. Let w = -2819/2 + t. Find the common denominator of w and -28/9. 18 What is the smallest common multiple of 16 and 1/2 - (-504)/336? 16 Calculate the common denominator of 3782/(-279) + 14/2 and 70/9. 9 Find the common denominator of 23/28 and 5262/(-360) - (-1 + (-34)/(-30)). 28 Let j = -279/104 - -359/26. Calculate the common denominator of j and 73/16 + (-1 - -1). 16 Let t be (1008/(-254) - -4)/3. Let b = 37013/5334 - t. Find the common denominator of -83/18 and b. 126 Let s = 47 + 6. Let v = -35 + s. Calculate the least common multiple of 20 and v. 180 Let g be (3/6*(-16)/(-2))/2. Find the common denominator of ((-1)/g*-4)/(272/(-1037)) and 31/40. 40 Let c = 610 - 1802/3. What is the common denominator of c and 6/21 - 1186/(-112)? 24 Let c(u) = -88*u - 517. What is the least common multiple of 5 and c(-9)? 275 Let q = 35 + -13. Let v(c) = -4*c - 2. Let t(g) = -g**2 - 21*g - 9. Let o(n) = -2*t(n) + 11*v(n). Calculate the lowest common multiple of o(4) and q. 220 Let v(o) = -5*o - 7. Let j be v(-4). Suppose j = 4*s + c, 5*s - c = -3 + 8. Suppose -s*z = 42 + 50. What is the common denominator of z and 61/4? 4 Let a = 1385/522 - 114/29. Find the common denominator of 131/120 and a. 360 Suppose -23 + 77 = f - s, 55 = f - 2*s. Let j = 67 + f. What is the smallest common multiple of j and 14? 840 What is the common denominator of -101/4 and (-663)/(-1152) + 34/204? 128 What is the common denominator of 3/(((-21)/3)/(20/(-30))) and -67/70? 70 What is the common denominator of 10/(-855)*1*(-33)/(-13) and 103/18? 4446 Let q(k) = 77*k**2 + k + 1. Let o be q(-1). Find the common denominator of -63/32 and o/(-60)*(-15)/9. 288 Let r = 3816422 - 45886813/12. Let b = r + 7469. Find the common denominator of b and 87/44. 132 Let c(n) = 3*n**2 - 25*n + 33. Let t(v) = -4*v**2 + 26*v - 32. Let i(a) = -3*c(a) - 2*t(a). What is the lowest common multiple of i(21) and 61? 427 Suppose -5*w + 2*c + 1026 = 0, 15*w - 13*w + 3*c - 418 = 0. What is the common denominator of -4 - (4 + -5) - w/(-16) and -85/16? 16 Find the common denominator of -4 + 5/(-5) - 1257/(-264) and -37/319. 2552 Let w = -12 - -20. Suppose -d - d = 4*d. Find the common denominator of w/20*6 - d and -61/8. 40 Suppose -9*b + 55 + 215 = 0. What is the least common multiple of 18 and b? 90 Suppose 11*h = -14264 + 5838. What is the common denominator of 2/3 + 47/(-48) and h/476 + (-12)/(-42)? 272 Let d be ((-48)/10)/((-18)/(-60)). Let f = d - -22. Suppose -22*l + 8*l = -140. What is the lowest common multiple of l and f? 30 Suppose 152 = -0*f + 4*f. Suppose -f = 2*m - 10. Calculate the common denominator of 4/(-12) + 141/27 and m. 9 Suppose -4*q + 3939 = -1621. Calculate the common denominator of (q/(-84) - 1) + (-20)/70 and -89/4. 12 Let y(h) = 2*h**3 - 19*h**2 + 13*h - 34. Let o(w) = w - 5. Let v be o(4). What is the lowest common multiple of y(9) and -1 - 1 - 18/v? 16 Let k(s) = s**3 + 10*s**2 - 15*s. Let z = -131 - -135. What is the lowest common multiple of z and k(-11)? 44 Suppose -5*x + h = -20, 4*x - 1 = h + 15. Let d = -163 + 185. Calculate the smallest common multiple of x and d. 44 Let y = -87384 - -1046681/12. Let a = -675/4 - y. Calculate the common denominator of (-156)/32 + 6/12*2 and a. 24 Let q(b) = -b**2 - 7*b + 21. Let g be q(-9). Suppose 5*o + 2*i + g*i - 10 = 0, -4*i - 34 = -3*o. Calculate the least common multiple of o and 30. 30 Let t = 119 + -85. Suppose 2*b - t = 2*r, -5*b + 4*r = 19 - 102. Calculate the smallest common multiple of 18 and b. 90 Let r = 21409/20 + -1068. Let q = -13 - -3. Find the common denominator of 1 - (-1 + (-141)/q) and r. 20 Let g = -2 + 10. Let n be (-438)/(-24) - (-3)/(-12). Suppose -j + 0*l = 3*l - n, -4*j - 3*l = -72. What is the lowest common multiple of j and g? 72 Let j(n) = n - 2. Let k be j(4). Suppose 0*o + 12 = k*o. Suppose 4*h + o = 34. What is the smallest common multiple of 8 and h? 56 Let g(t) = 12*t**2 + 9*t - 22. Suppose 28 = -8*w + 10*w. What is the smallest common multiple of g(2) and w? 308 Suppose -32 - 8 = -4*u. Let p = -16644 + 432693/26. Find the common denominator of u/(-12)*(-114)/90 and p. 234 Calculate the least common multiple of 10/(-1 - -6) + 5 + 9 and 320. 320 Suppose -6 = -2*y - d, -38*y = -39*y + 5*d + 25. What is the least common mu
{ "pile_set_name": "DM Mathematics" }
- 48*x + 49. Calculate the remainder when q(o) is divided by h(0). 10 Let k be (-28 - -26)*(1 + -1 + -22). Let a(n) = -11*n + k + 3*n + 7*n. What is the remainder when a(15) is divided by 17? 12 Let n(z) = 18*z + 4. Let h = 27 + -25. Let p be n(h). Let r = -27 + p. Calculate the remainder when 36 is divided by r. 10 Let p be (-6)/(-69) - 136230/(-1311). Suppose -3*l - 25 = -271. Let a = p - l. Calculate the remainder when 78 is divided by a. 12 Suppose y + 2*w - 1 - 1 = 0, 15 = 5*w. Let b be y/((-1 + 2)*-1*1). Suppose 5*l = -4*x + 41, -x = -4*l + b*x + 41. What is the remainder when l is divided by 6? 3 Let u(y) = 111*y + 9. Let q be u(3). Suppose 28*o + q = 31*o. Calculate the remainder when o is divided by 29. 27 Suppose 9*p + 58 = 688. Suppose -p*h + 952 = -53*h. What is the remainder when 193 is divided by h? 25 Let g = -611 - -608. Calculate the remainder when 311 is divided by (-225)/(-50)*21/g*-2. 59 What is the remainder when (-2 + 1 - 0)/(7/(-511)) is divided by (836/66)/(1*2/6)? 35 Suppose c - t - 5 = 0, 3*c = -4*t - 3 - 3. Suppose -4*d = -20, -7*h - d - 10 = -c*h. Let f = 36 + h. What is the remainder when f is divided by 13? 7 Let a(g) = -g**3 - 94*g**2 - 84*g + 2884. Calculate the remainder when a(-93) is divided by 292. 3 Suppose -10 - 71 = -3*j. Let p be (72/(-14))/((-32)/448). Let i = 61 + p. Calculate the remainder when i is divided by j. 25 Suppose -5*y = -2*y + 6. Calculate the remainder when 5*1*(-60)/(-50) is divided by ((-1)/(-3))/(y/(-12)). 0 Suppose 0 = -107*i + 86*i + 210. Calculate the remainder when 127 is divided by i. 7 What is the remainder when (18/(-10) - (-347446)/170) + -1 is divided by 28? 25 Let q be 9764/44 - (-4)/44. Let m = 274 - q. Calculate the remainder when m is divided by 11. 8 Suppose 5*l - 3*f - 280 = 0, 9*f + 113 = 2*l + 8*f. Calculate the remainder when 931 is divided by l. 46 Let s(n) = 5*n - 77. Let c(z) = -6*z + 74. Let f be c(9). Calculate the remainder when 90 is divided by s(f). 21 Calculate the remainder when 982 is divided by (-43 + -17 - -14)*-2. 62 Let r(p) = -30*p + 15. Let m be r(5). Let w = 142 + m. Calculate the remainder when 158 is divided by w. 4 Let x(z) be the second derivative of z**4/12 + 2*z**3/3 - 8*z**2 - z. Suppose 0 = -290*a + 246*a + 176. What is the remainder when 141 is divided by x(a)? 13 Let v(y) = -30*y - 2024. Calculate the remainder when v(-78) is divided by 74. 20 Suppose -4521 = 43*x - 76*x. Calculate the remainder when 1914 is divided by x. 133 Let j = -5454 - -5734. What is the remainder when 604 is divided by j? 44 Let j = -202 + 190. Calculate the remainder when 449 is divided by (-490)/j - 4*(-8)/192. 39 Suppose -3*x - 7*v + 2*v = -383, 2*x = -3*v + 257. Let h = -203 - -231. Calculate the remainder when x is divided by h. 24 Suppose -1577 = -8*g + 2023. Calculate the remainder when g is divided by 2. 0 Suppose -457*j - 3 = -458*j, -5*z + 3*j + 13181 = 0. Calculate the remainder when z is divided by 15. 13 Let p(h) = -h**3 + 48*h**2 - 48*h + 105. Calculate the remainder when 191 is divided by p(47). 17 Let x = -154 - -186. Suppose -x*d - 144 = -44*d. What is the remainder when (-56)/(-21)*69/2 is divided by d? 8 Let s(v) = -v**2 - 5*v + 9. Let b be s(-6). Let r be (2/b)/(12/450). Let k = -6 + r. Calculate the remainder when k is divided by 4. 3 Let h(d) = 10*d**2 + d + 20. What is the remainder when h(-4) is divided by 45? 41 Suppose 2*l + 0*l = -5*d + 41, 3*d - 23 = -l. Suppose 16 - l = 8*z. What is the remainder when 9 is divided by z? 0 Let c = -26 - -44. Let s = -1155 - -1149. Let j(m) = m**3 + 8*m**2 + m + 57. Calculate the remainder when j(s) is divided by c. 15 Let g(j) = j**3 - 24*j**2 + 3*j - 6. Let q be g(24). Suppose -64*f + 70*f = q. What is the remainder when 75 is divided by f? 9 Suppose -105*k - 2106 = -111*k. Calculate the remainder when k is divided by 59. 56 Let s(n) = 52*n + 707. Calculate the remainder when 978 is divided by s(-13). 17 Let t(b) = -b**3 + 21*b**2 + 46*b + 14. Let h be t(23). Suppose -h*a - 316 = -18*a. What is the remainder when 392 is divided by a? 76 Suppose -2*t = 3*v - 1164, -19*v + 4*t - 388 = -20*v. What is the remainder when 2286 is divided by v? 346 Let s = -2247 + 2347. Let v be ((-79)/(-3))/((-2)/6). What is the remainder when s is divided by 1/(-3) + v/(-3)? 22 Let o(u) = -u**2 + 7*u - 7. Let d be o(-8). Let w = 140 + d. What is the remainder when 38 is divided by w? 12 Suppose -60 = -3*o + 5*y, 0*o = 5*o + 2*y - 131. Let p = -166 - -238. Calculate the remainder when p is divided by o. 22 What is the remainder when 130 is divided by (-11 - -22 - 16) + (2 - (-10 - 2))? 4 Let p = 200 - 271. Let s = p + 113. Calculate the remainder when s is divided by 16. 10 Let t be (-1 + 16 - 3)*1. Let p(x) = 4*x + 57. Calculate the remainder when p(t) is divided by 28. 21 Suppose -263 = -7*a + 1361. Calculate the remainder when a is divided by 39. 37 Suppose 31*g + 26*g = -143*g + 5600. Suppose -4*y + y - 2 = 4*i, -5*y - 11 = -i. Suppose d - 13 = -i. Calculate the remainder when g is divided by d. 4 What is the remainder when 8486 is divided by 14 + -43 + 10 + 32? 10 Suppose -19 = -3*l - 22, -5*a - 5*l = -55. What is the remainder when 4522 is divided by a? 10 Let s = 20 + -10. Suppose -2*p + 16 = 2*w, -2*p + s = 2*w + 3*w. What is the remainder when 149 is divided by p? 9 Suppose -4*h + 18856 = d, 11*h - 3*d - 4714 = 10*h. What is the remainder when h is divided by 20? 14 Suppose 0 = -13*r + 36 + 900. Let g = r + -53. Calculate the remainder when 69 is divided by g. 12 Suppose -255 = -3*o - 3*r, -59*o + 62*o + 2*r - 256 = 0. What is the remainder when 195 is divided by o? 23 Suppose -26*y = -5*y + 25*y - 184966. Calculate the remainder when y is divided by 9. 7 Suppose 343 = 2*d + 3*a, 848*d - 847*d - a = 164. What is the remainder when d is divided by 52? 11 Let u be -282*(-3)/6 - (0 + -3). Suppose u = 3*a + 3*y, -109 = -3*a - 5*y + 35. Calculate the remainder when 2/(-12) - (-1448)/a is divided by 8. 6 Suppose 3 = 16*h + 3. What is the remainder when 119 is divided by 22 + (h + -3)*2? 7 Let u(c) = -c**3 - 12*c**2 - 51*c + 2. What is the remainder when 921 is divided by u(-8)? 151 Suppose -4*i + 4827 + 6489 = 0. Calculate the remainder when i is divided by 10. 9 Calculate the remainder when 146 is divided by (-5434)/(-104) + -53 + (-2)/8*-199. 48 Suppose -5*q + 4*l + 1117 = 0, 2*l + 673 = 13*q - 10*q. What is the remainder when 434 is divided by q? 205 Suppose -2*g = 3*q - q - 40, 5*g - 2*q - 93 = 0. Suppose -8*m = -g + 11. What is the remainder when 8 is divided by (m + 9)/(8 - 6)? 3 Let k be 1*-2*((-1)/2 + -2). Suppose -5*n = -k, -n - 24 = -v - 4*n. What is the remainder when 99 is divided by v? 15 Suppose 0*g + 2*g - 1225 - 671 = 0. Calculate the remainder when g is divided by 34. 30 Suppose 167*f - 29254 = 22665 + 33919. Calculate the remainder when 2064 is divided by f. 8 Let y = 3033 - 2960. Calculate the remainder when y is divided by 26. 21 Suppose 35*a - 77*a + 25242 = 0. What is the remainder when a is divided by 28? 13 Suppose 32*i - 71 = -x + 27*i, -4*x - i + 113 = 0. What is the remainder when 2379 is divided by x? 13 Let b(l) be the second derivative of -l**4/12 - 2*l**3 + 6*l**2 + 2*l - 35. Calculate the remainder when b(-5) is divided by 21. 5 Suppose 0 = -50*z + 169200 + 590350. What is the remainder when z is divided by 24? 23 Let v(p) = 168*p**3 + p**2. Let y be v(1). Let g = y - 263. Let c = g - -140. What is the remainder when 182 is divided by c? 44 Suppose 8*w - 14334 + 13798 = 0. Calculate the remainder when 209 is divided by w. 8 Let f(q) = 8*q**2 - 7*q + 10. Let v be f(3). Suppose 7*u = v + 2. What is the remainder when 537 is divided by u? 6 Let z = 13420 + -13412. What is the remainder when 1113 is divided by z? 1 Let o(f) = 2*f**2 - 32*f + 181. Calculate the remainder when o(16) is divided by 107. 74 Let j(o) = o**3 - 67*o**2 - 138*o + 80. What is the remainder when 1836 is divided by j(69)? 76 Let d(h) = -5*h + 13. Let u be d(14). Let k be (-3)/9*u + -1. What is the remainder when 342/k + 4/1 is divided by 3? 2 Suppose z = -3*g + 21, 95 - 19 = 3*z - 4*g. What is the remainder when 138 is divided by 24 + -3*z/(-18)? 26 Suppose -283*i = -278*i - 200. What is the remainder when 41 is divided b
{ "pile_set_name": "DM Mathematics" }
d = x - 18 for x. 2 Solve -15*j + 17*j = -31*l - 97, -2*j - 3*l - 13 = 0 for j. -2 Solve 3*y = 2*h - 18, -220*y + 217*y = 2*h + 6 for y. -4 Solve 0 = -2*o + 2*y - 28, -133*o - 5*y + 56 = -124*o for o. -1 Solve -i - 262 + 270 = -3*p, -2*p = -3*i + 3 for p. -3 Solve 2*i = 3*i - 4*x - 17, -3*i + 5*x = -16 for i. -3 Solve -3*j + 20 = -5*o, o - 1976 + 2027 = 10*j for o. -1 Solve 0 = 5*a + 4*g - 28 + 79, 0 = -5*a + 4*g - 19 for a. -7 Solve -18 = 6*g, 6 = -4*m - 3*m + 8*m - 5*g for m. -9 Solve -10 = -5*b + 2*s, 0 = -368*s + 366*s - 10 for b. 0 Solve 29385*t - 36 = 3*g + 29382*t, 2*t = -2*g + 12 for g. -3 Solve -4*j - 4*t + 98 = 14, 26 = 2*j + t for j. 5 Solve 2*o - 8 = -4*i, 5*o - 5*i + 8 = 7*o for o. 4 Solve 4*s + b = -2304 + 2316, 3*s - 19 = -2*b for s. 1 Solve 87*o - 82*o - 65 = -4*i, -8*i + 85 = 5*o for o. 9 Solve 42 = 6*o - 106*z + 111*z, 5*o + 5*z - 35 = 0 for o. 7 Solve -964*m = -959*m + 4 + 11, 3*m = -3*p for p. 3 Solve 0 = 4*q + 3*h + 5, -50*q + 51*q = 3*h + 10 for q. 1 Solve 2*n + 2 = -h, 2761*n - 6*h = 2766*n + 12 for n. 0 Solve -2*f + 10 = 2*c, -482*f + 45 = -477*f for c. -4 Solve 8 = 2*r - 236*n + 239*n + 24, 4*n + 30 = -7*r for r. -2 Solve 4*o = -8, -k - 18 = -o - 20 for k. 0 Solve -5*w + 126 = -4*q + 145, 0 = -3*q - 4*w + 53 for q. 11 Solve z = -2*i + 3, 0 = -33*z + 15*z + 14*z - 12 for i. 3 Solve 7*t + 2*w - 7*w = 47, 2*w + 14 = 2*t for t. 6 Solve 0 = -3*c + 5*c - 3*k - 10, 4*c - 2*k = 28 for c. 8 Solve 2*n - 6 = -4*w, 6115*n = 6118*n - 3*w + 9 for n. -1 Solve -4 = -2*u - 2*w, -80*u - 27 = -83*u + 4*w for u. 5 Solve 0 = m + 3*h + 6, -m - 30 + 26 = 5*h for m. -9 Solve -4*y = 4*k - y + 4, 29*k + 5*y = 105 for k. 5 Solve 3*a - 122*b = -117*b + 30, 0 = -3*a - 7*b - 6 for a. 5 Solve -2594*x + 2598*x - 4*o = 80, -6*o - 63 = -3*x for x. 19 Solve 5*g = -10*j + 90, 304 = 5*j + 5*g + 219 for j. 1 Solve 4*i + 20 = 0, 1 = 3*y - i - 4 for y. 0 Solve -5*h - v + 36 = 0, h + 4*v - 140 = -148 for h. 8 Solve -4*o + 21 = -b + 44, -4*b = 2*o - 2 for b. 3 Solve -c = 27*a - 15, -356*a = c - 359*a - 15 for c. 15 Solve 4*h - 16 = -4*l, -3*h + 78*l = 73*l - 20 for h. 5 Solve 5*u - 5*x = -35, 57*x = 58*x - 2 for u. -5 Solve -2*d - 5*o = 23, -23647 = 5*d + 2*o - 23621 for d. -4 Solve -20 = -4*b - 4*n, 4*b = -n - 1270 + 1302 for b. 9 Solve 5*p - 30 = 4*i, 23 = -3*i + 24*p - 20*p for i. -5 Solve s - 2*l = 13, 11*s + 3*l = 15*s - 27 for s. 3 Solve 444*i - u = 444*i - 15, 45 = 5*i + 2*u for i. 3 Solve 3*b - o - 1 + 1 - 9 = 0, 0 = 5*o for b. 3 Solve 4*s = 3*q - 39, 2*q - 2*s = 207 - 189 for q. -3 Solve i = -1, 7 = 145*u - 141*u + 5*i for u. 3 Solve 3*x + 3*b + 601 = 622, -3*b = 4*x - 26 for x. 5 Solve -2*o - 3 = 5*p, 115*o - 119*o + 3*p = -7 for o. 1 Solve 13 = -3*z + 153*q - 157*q, -3*z - 5 = 2*q for z. 1 Solve -84*z - 83 = -4*o - 81*z, 5*z + 105 = 5*o for o. 20 Solve 0 = -899*w + 896*w + 5*a + 17, 0 = -6*w + 4*a + 10 for w. -1 Solve -4*v - m - 27 + 4 = 0, -5*v = -5*m + 10 for v. -5 Solve -4*p - 5*b - 28 = 0, 0 = -3*p + 328*b - 329*b - 10 for p. -2 Solve 5*n + 4*i + 64 = 0, -4 = -348*n + 346*n - 9*i for n. -16 Solve -3*f + 6343*l - 6337*l = -48, 0 = -3*f + 4*l + 38 for f. 6 Solve 1977*y = -j + 1974*y + 5, 0 = j - 2*y + 5 for j. -1 Solve 0 = -4*f + 5*n + 9, -1587*f = -1583*f + 2*n + 26 for f. -4 Solve -4*r + 3*b + 43 = 0, 684944*r - 684942*r - b - 19 = 0 for r. 7 Solve -3*g - 96 + 97 = -2*n, -3*n + 2*g = -6 for n. 4 Solve 5*g - 3 = -3*a, 0 = 5*a + g + 3914 - 3919 for a. 1 Solve 60*u + 5 = 59*u, 0 = -2*v + u + 25 for v. 10 Solve q - 5*j + 28 = -5, 2*q + 24 = 4*j for q. 2 Solve 0 = 3*y - 5*s - 1650 + 1622, 3*y - 18 = 3*s for y. 1 Solve 5*f = -2*r - 1, -r = 4*f - 141 + 143 for r. 2 Solve 2 = b + j, 60*b + 4*j - 6 = 58*b for b. 1 Solve -2*a - 644 = 39*l - 205, 4*l - 5*a + 19 = 0 for l. -11 Solve 4*t + 30*s = 96, 5*t + 5 = 3*s - 37 for t. -6 Solve 4*f - 3*f = 5*o, 755*f - 757*f = -5*o + 15 for o. -3 Solve -94*f - 2*h + 9 = -93*f, 3*h = -4*f + 46 for f. 13 Solve 0 = 2*a - 3*z - 8, a - 3 = 1230*z - 1229*z for a. 1 Solve 10*r = -5*f + 63 - 113, 2*r + 7*f - 14 = 0 for r. -7 Solve 3*t - 2 = -4*q, 165*q + 9 = 3*t + 162*q for t. 2 Solve 0 = -j - 12*r - 65, -7*j - 3*r = -5*j + 25 for j. -5 Solve -33 = 4*m + 3*z, 4*m = 3*z - 39 + 48 for m. -3 Solve -4*k - 8 - 18 = g, -4*k - 38 = 3*g for k. -5 Solve -2*n - 2*q + 4 = 0, -3*n = -8*n - 3*q + 4 for n. -1 Solve -5*a - m + 42 = 0, 3*a - 129*m + 130*m = 26 for a. 8 Solve 4*l - 3*x = 12, 0 = -32*l + 28*l - 4*x + 12 for l. 3 Solve 4816 = 5*g - 5*j + 4831, -3*g = 6*j - 27 for g. 1 Solve 584*x = 580*x + 6*y + 2, -3*y + 9 = 3*x for x. 2 Solve 2*u + 36 = -4*i, 3*i - 5*u = 51 - 13 for i. -4 Solve 0 = -4*b - 5*l + 13, b - 46*l + 51*l = 7 for b. 2 Solve 36 = -c + 4*g, 2*g = 151 - 135 for c. -4 Solve -1 = 3*f - 2*l, -23*f - 12 = -27*f - 4*l for f. 1 Solve -2*s - u = -16, -s - 5*u + 95 = 51 for s. 4 Solve 2 = 9*c + 2*n - 39, -4*n + 17 = 5*c for c. 5 Solve 9*j - 14*j + 5*s = 15, 4*j - 5*s + 15 = 0 for j. 0 Solve 5*a - 70756 = -2*m - 70749, -m = -3*a - 31 for a. -5 Solve -1562 = 2*v - 1568, -3*z + 3*v = -6 for z. 5 Solve -o - 5*b - 22 = 0, 7*o + 101*b = 99*b + 11 for o. 3 Solve 33 = -q + 93*r - 101*r, 4*q + 3*r = 13 for q. 7 Solve 0 = -5*k - 5*p - 0*p + 15, -4*k + 4*p = -28 for k. 5 Solve 39 = 5*l + 2*j, -390*j + 385*j = -l - 3 for l. 7 Solve 5*m - 6*w - 20 = 0, -m = -18*w + 23*w + 27 for m. -2 Solve -q = 2*h - 5 - 4, 5*q - 21 = -2*h - 8 for q. 1 Solve -4*r + 2*p - 170 + 178 = 0, -2*r - 3*p = 4 for r. 1 Solve 4*k + 5*v = 26, -7*k = -9*k - 2*v + 10 for k. -1 Solve -2*a + 211*u + 12 = 209*u, -2*u = 10 for a. 1 Solve a - 4 = -4*x, -7*a + 9*a - 2*x + 2 = 0 for a. 0 Solve -k + 8 = 2*w, w + 12*k - 4 = 6*k for w. 4 Solve -3*i + 9*u - 45 = 3*u, 3*i - 11 = -u for i. 1 Solve -g - 2*c = 9, -3*g = 10*c - 648 + 691 for g. -1 Solve d + 11*r = 6*r - 7, -d + 9*r + 7 = 0 for d. -2 Solve -8*o + 5*b = -2*o - 43, -54*o = -59*o + 3*b + 30 for o. 3 Solve 4*z + 152 = 25*s - 45*s, 4*s + 26 = -3*z for s. -8 Solve -4*o - 7*k - 55 = 0, -48*k + 44*k - 20 = 0 for o. -5 Solve m - 9 = 4*z, -738*m + 762*m = 3*z - 63 for m. -3 Solve -20*l + 15*l + j = 3, -2*l - 14 = -2*j for l. 1 Solve 0 = -5*u + 5*o, -5*u - 2*o - 25 - 10 = 0 for u. -5 Solve -87*y + 96*y = 5*z + 55, 0 = 2*z - 4*y + 24 for z. -2 Solve 0 = 5*y + 4*l + 101 - 62, 2 = -y + 5*l for y. -7 Solve 0 = -u - 3*u - 4*w + 20, -3*u = 5*w - 21 for u. 2 Solve 3*g + 35 = -4*z, z - 10 = 85*g - 82*g for g. -5 Solve 2*w - 6 = -2*j, 2497 = 12*w - j + 2474 for w. 2 Solve -4*g + 33 = -3*q, -10*q - 926*g = -922*g + 58 for q. -7 Solve 2*h = -5*b - 38, 0*h - 43 = 5*b - 3*h for b. -8 Solve -100*p = -r - 98*p + 12, 0 = -4*r + 3*p + 28 for r. 4 Solve 2*x - 4*r - 60 = 0, 44*x = 41*x + r + 5 for x. -4 Solve 5*p - 20 = -8764*v + 8762*v, 3*p - 12 = -v for v. 0 Solve l + 5*z - 22 = 0, 22*l - z = 17*l + 6 for l. 2 Solve 0 = 2*a + 6*m - 38, 3*a - 5*m = -5 + 6 for a. 7 Solve 40*q - g - 8 = 38*q, -q + 7 = g for q. 5 Solve 0 = 412*z - 411*z - 3*g + 5, -2 = 2*z + 2*g for z. -2 Solve 28 + 2 = -5*a + 3*f, -4*a + 222*f - 218*f - 24 = 0 for a. -6 Solve -2*f + 4 = -d, 11*d - 3*f + 15 = 14*d for d. 2 Solve 10*l + 7 = 2*i - i - 0, -2*i = 15 - 9 for l. -1 Solve -5*o + 5 = -4*z, 8238*o = -z + 8234*o - 17 for z. -5 Solve 0 = -4*c + 16, -141*z - 2*c + 0 = -145*z - 4 for z. 1 Solve 4*o - 5*r = -42, 3*o + 3839 - 3825 = -5*r for o. -8 Solve -9 = -3*t - 4*o, -34*t + 5*o = -32*t - 29 for t. 7 Solve -3*s = 19*m - 15*m + 19, 5*m = 5*s + 20 for m. -1 Solve -m = 5*j + 10 + 12, -2*m = 5*j + 19 for j. -5 Solve 0 = -3*u - 2*k + 23, -3*u + 1212*k - 5 = 1210*k for u. 3 Solve -f + 3 = -5*n + 2*n, n - 3*f + 1 = 0 for n. -1 Solve 5*l = -p - 19, 89*p - 87*p - l = -5 for p. -4 Solve k = -2*a - 67 + 52, 4*k + 42 = a for k. -11 Solve -92*n + 10 = -87*n + v, -4*n - v = -9 for n. 1 Solve 0 = -y + 2*m + 11, 5*y + 1786*m - 1789*m = 27 for y. 3 Solve 35 + 5 = -5*r + 5*z, 7*r + z - 16 = 0 for r. 1 Solve x - 2*x = 2*m - 27, 0 = 3*m + 3*x - 45 for m. 12 Solve -29*t - 16 = 9*s - 28*t, 0 = -4*s + 5*t - 18 for s. -2 Solve 118*n = 113*n + 3*j - 10, -j = n - 6 for n. 1 Solve -2*d + 6 = 4*u, -u - 25 + 13 = -4*d for u. 0 Solve 31 = -3*f + 4*d, -118 + 111 = 3*f + 2*d for f. -5 Solve -61 = -5*z - 5*d - 41, -z + 6*d = 59 for z. -5 Solve 0 = c + 5*s + 15, -9 = -4*s - 25 for c. 5 Solve -3*h - 3*j + 39
{ "pile_set_name": "DM Mathematics" }
in h, z, j? h Let n be 16/(-88) + 46/11. Suppose -5*b = -3*i + 15, 6*b + 9 = 3*b + n*i. Let x = 0.1 - 0.1. What is the nearest to 2 in b, -0.2, x? x Let p = -9.9 - -10. Let t be (-1)/(-2) + 3/(-18). Let m = 36 - 109/3. Which is the closest to t? (a) 5 (b) m (c) p c Let b be ((-4)/15)/(4/(-6)). Let x = -0.7 - -0.3. Let y be (-9)/6 + 0 + 1. What is the closest to -1 in b, x, y? y Let p = -107/255 - -1/51. Let d be -2*(6/(-2))/27. Which is the nearest to -0.04? (a) d (b) p (c) -4 a Let v be (-5)/(-15)*(-6)/(-16). Let y = 185/4 - 46. What is the closest to 1 in y, 0.06, v? y Let r(y) = -y**3 + y**2 - y - 2. Let p be r(0). Which is the nearest to 7? (a) 1 (b) p (c) 0.3 a Let w = -1 - -2. Let u be 4/(-18) + 64/(-36). Let h = u + 2. Which is the closest to h? (a) -2 (b) w (c) 3 b Let s = -0.8 + 1. Which is the closest to s? (a) 1 (b) 0.2 (c) 4 b Let o(s) = s**2 + 4*s + 3. Let p be o(-4). Let y = 309.1 - 309. Which is the nearest to y? (a) 0.2 (b) -0.1 (c) p a Let q = 4.87 - 2.87. Let g be ((-1)/(-4) - 0) + 0. Which is the nearest to g? (a) q (b) 0.4 (c) -1 b Let r = -5 + 3. Let n = -0.44 - -0.84. Which is the nearest to r? (a) -2/11 (b) 1/4 (c) n a Let u = -9.8 - -20. Let y = u + -10. Which is the closest to 3? (a) y (b) 2/3 (c) 0.4 b Let t be (-2)/(-6) + (-6)/45. What is the nearest to -2 in 1/3, -0.5, t? -0.5 Let m(z) = -z**2 + 8*z - 8. Let r be m(6). Suppose 6 = g - 5*y, r*g - y = -12 - 2. Which is the nearest to -0.2? (a) g (b) -0.1 (c) -1/5 c Let q be 1*(20/(-16) - 0). What is the nearest to 1/2 in q, -0.2, -11? -0.2 Let g be (-1 - 1)*(-17)/136. Which is the nearest to 0? (a) 3/8 (b) g (c) -5 b Let j = -0.995 + -0.005. What is the closest to j in 1, -1/8, 27? -1/8 Let j be 9/(-15)*(-6)/9. Let q = 3209/13 + -247. Which is the closest to j? (a) q (b) -0.5 (c) 4/7 c Let n be (4/10)/(12/(-20)). Let j = -0.05 - 0. Let h = -0.05 + j. Which is the closest to h? (a) -2/13 (b) n (c) -5 a Let i = 0.33 + -0.53. Let n = -0.1 - 0. Let v = -0.3 - n. Which is the closest to i? (a) v (b) -5 (c) 1 a Let h = -14 + 27/2. What is the closest to -0.1 in h, 3/7, 1/6? 1/6 Let s = 0.048 - -4.952. Let f(w) = -w**2 - 4*w + 4. Let v be f(-5). Which is the closest to v? (a) 2/13 (b) s (c) 0 c Let z = 137 - 156. Which is the nearest to 0.2? (a) 0 (b) -0.2 (c) z a Let w(y) = y**2 - 3*y + 2. Let s be w(1). What is the closest to -8 in s, -1/3, 3? -1/3 Let w = 68 + -69. Which is the closest to -0.2? (a) w (b) -0.3 (c) -5 b Let n = 6 - 8. What is the closest to -0.2 in 3, n, -3/5? -3/5 Suppose -2*j = -3*j + 4. Let q = 0.5 - 0.9. Which is the closest to -2? (a) q (b) j (c) -4 a Let j = 9 - 13. Suppose -4*o - 8 = -3*u, 5*o - 3 = 4*u - 14. What is the nearest to 2 in 1, u, j? 1 Let n = -105 - -105. Let x = -2.3 - -1.88. Let v = 0.02 + x. Which is the closest to -1? (a) -4 (b) n (c) v c Let m = -0.02 - -0.22. What is the closest to m in 2/11, -0.2, -4/7? 2/11 Let x be 33/42 + 1/(-2). Let s = -0.36 + -0.04. Let z = -69 + 64. What is the nearest to x in s, z, 4? s Let p(k) = k**3 + k**2 + k + 3. Let z be p(0). Suppose -z*j = -2*j. Suppose x - 6*x + 20 = j. What is the nearest to -1/2 in 2/5, x, -4? 2/5 Let f = 0.34 - 0.64. Let t = 122/429 - 4/39. Which is the nearest to -1? (a) 1 (b) f (c) t b Let l = 9 - 9. Suppose l*g + 4*g = -2*k - 2, 5*g = -4*k - 1. Let o be (-38)/92 - (-1)/2. Which is the closest to -0.1? (a) k (b) o (c) -5 b Suppose -1 - 2 = -3*d. Let f = -74/3 - -25. Let q be -1*8*2/20. Which is the closest to d? (a) f (b) q (c) -1/2 a Let t = 41.73 - 42. Let z = -0.27 - t. Which is the nearest to z? (a) 0 (b) -1 (c) 2 a Let o be 3/6*-3*(-8)/(-6). Which is the closest to 1? (a) 0.4 (b) o (c) -1/6 a Let o = 108 + -114. Which is the closest to o? (a) -1/3 (b) 0.3 (c) 0 a Suppose 0 = f + f. Which is the closest to -2? (a) 1/3 (b) f (c) -3 c Suppose -3*g + 7*g = -5*r + 72, 0 = 4*r + 3*g - 57. Let h be (6/4)/(63/r). What is the closest to -1/5 in h, -0.2, 5? -0.2 Let h = 0.05 - -0.05. Let u = h - 0.56. Let z = 0.06 + u. What is the nearest to -0.1 in z, 1/4, -0.1? -0.1 Let i be 76/266*7/4. Let z = -113 + 789/7. What is the nearest to i in 0.1, 2/7, z? 2/7 Let t = 180/7 + -26. Let a be (-183)/(-16)*(-3 + 5). Let v = a + -45/2. What is the nearest to t in v, -0.5, -5/2? -0.5 Let g be 2/(-3) + 4 + -3. Let f = -2/56961 - -5867053/1993635. Let v = 22/7 - f. Which is the nearest to g? (a) v (b) 0.4 (c) -1 b Let d = 15 + -14. What is the closest to 0 in d, 2/3, 4/3? 2/3 Suppose 6*s + 13 = 5*s - b, 7 = -4*s + 5*b. Let k be (-5)/s + (1 - 2). What is the nearest to 0.2 in -1, 2/9, k? 2/9 Suppose -g + 3 = -0*g, -5*g + 17 = t. Which is the closest to 1? (a) t (b) 24 (c) -1/6 a Let o = -67.5 - -67. Let i = -0.07 + 0.37. What is the nearest to 1 in i, 5, o? i Let u = 10 - 10.14. Let l = u + 0.04. What is the nearest to l in -1/6, 1, -5? -1/6 Let g = -13837379 + 346004023/25. Let h = g - 184184/75. Let v = 326 - h. Which is the closest to 1? (a) 4/7 (b) -5 (c) v a Let u be 1*(4/6 + -1). Let v = 32.2 - 32. Which is the nearest to 1? (a) v (b) u (c) -1/5 a Let n = -6 - -6. Let m = 4 + -4.2. Which is the closest to n? (a) 1 (b) m (c) -0.4 b Let m = 0.09 + -0.09. Let j = 13 + -9. Let q = 0.6 + 1.4. Which is the closest to m? (a) j (b) -0.1 (c) q b Let q = -5.27 + 0.27. Which is the closest to 1? (a) 0 (b) q (c) -3 a Let u be 2/(3 - 4) + 0/4. Which is the nearest to 2/3? (a) 1 (b) 4/5 (c) u b Let d = -2.9 - -3. Let i = -41 + 124/3. What is the closest to d in -0.5, 3, i? i Let j be (-75)/60 - 27/(-28). Which is the nearest to -2? (a) j (b) -3 (c) 1/7 b Let y = 4.5 - 0.5. Let d = 3.6 - y. Let l = 0.3 - -0.2. Which is the nearest to -1? (a) l (b) d (c) -0.3 b Let x = 157525/2346 - -8/391. Let o = x - 67. What is the nearest to -1 in 2, o, 0? 0 Let s = -207/1784 - 2/223. What is the closest to 1 in 0.2, 3, s? 0.2 Let q = -0.05 - -0.15. Let f = 0.2 - 0.1. Let r = -1 - -1. Which is the nearest to q? (a) r (b) -3/2 (c) f c Let m = -509 + 509.1. Suppose -20 = -x - 3*x. What is the nearest to m in -2, -1, x? -1 Let y = -20.5 - -21. Which is the nearest to -2/5? (a) y (b) -4 (c) 0.3 c Let f be (-3*2/24)/1. What is the closest to f in 0.4, -0.3, 1? -0.3 Let a = 55 + -57. What is the closest to 0.2 in 4, a, 1/2? 1/2 Let g be (-2)/(48/(-45)) - (-6)/(-3). Which is the nearest to 2? (a) g (b) -0.2 (c) 4 c Let m be (-4)/(-10) - 688/20. Let t = -137/4 - m. Which is the closest to 0? (a) -5 (b) 3 (c) t c Let u = -9.1 + 9. Let s = u - -0.2. Which is the closest to s? (a) -0.5 (b) -2/7 (c) 0.4 c Let z = 2.4 + -0.4. Suppose 0 = -0*g - 2*g - 2. Let h be (1 - 1)/(2/g). Which is the closest to h? (a) 1 (b) 0.2 (c) z b Let b(x) = 1. Let r(k) = k - 5. Let z(p) = -2*b(p) + r(p). Let w be z(11). What is the closest to -1/4 in 2/9, -2/13, w? -2/13 Let f be (-4 - 1)/(-1 + 0). Let w = -6 - -2. Let n = w - 1. Which is the closest to 1? (a) f (b) n (c) 1 c Let o = -0.14 - 0.86. Which is the nearest to 2? (a) -0.4 (b) o (c) 0.3 c Let m = 2.4 + 2.6. Let l be (-1)/21 - (-2)/6. Which is the closest to -1? (a) m (b) l (c) -5 b Let s = 6 - 3. Let n = s - 3.5. Which is the closest to -0.2? (a) n (b) -1/7 (c) 4 b Let z = 1.3 - 0.9. Which is the closest to 1.2? (a) 1/4 (b) z (c) -0.3 b Let m be 0 - (-12)/15 - 1. Let r = m + -3/10. Let b = -0.3 - -1.3. What is the closest to -1 in -2, b, r? r Let t = 17.7 - 18. What is the closest to -0.3 in -1/4, t, -4/7? t Let r = -2.5 - -0.5. What is the closest to -1/5 in 2, r, -1? -1 Let f be ((-2)/(-24))/(30/(-12) + 2). Which is the closest to 0? (a) f (b) 0.1 (c) -1 b Let p(v) = -v**3 + 3*v**2 - 2. Let c be p(2). Suppose 4*j - 15 = 7*j. What is the nearest to c in -2, -0.3, j? -0.3 Let l = 4.4 + -4. Let u = -0.49 + -4.91. Let v = u - -5. What is the closest to 1 in l, v, 1? 1 Let m = 3.5 + -3.1. Which is the closest to -0.1? (a) m (b) 9 (c) -5 a Let g = -0.08 + -3.82. Let v = -0.1 + g. Let l = -109 + 439/4. What is the closest to v in -5, 5, l? -5 Let g = -0.09 + -3.91. Let q be 9/(-12) - (107/(-36) - -2). Which is the nearest to q? (a) g (b) -2 (c) 4 b Let o be 4/18*(-3)/5. Let r = -2.93 + -0.07. Let z = r - -4. Which is the nearest to z? (a) o (
{ "pile_set_name": "DM Mathematics" }
of q? 0 Let f(z) = z**3 - 9*z**2 + 8*z + 6. What is the units digit of f(11)? 6 Suppose -2*o = 3*u + 40, 2*o = -4*u - 15 - 37. Suppose -2*z = z - 30. What is the units digit of (u/(-10))/(4/z)? 3 Suppose -2*b + z = -4, 0 = -2*b - 2*b - 5*z + 8. What is the units digit of 3 + 168 + 8*1/b? 5 Let z(y) = -8*y - 9. Let w(x) = 15*x + 17. Let k(p) = -3*w(p) - 7*z(p). What is the units digit of k(6)? 8 Let q(h) = -h**2 - 13*h - 13. Let j = -12 - -2. What is the units digit of q(j)? 7 Let h = -1840 + 3066. What is the units digit of h? 6 Suppose 3*u + 0*u - u = 0. Suppose u = -6*m + 258 + 384. What is the units digit of m? 7 Suppose 2*x + 110 = 7*x. Let o = x - -38. What is the units digit of o? 0 Let q(m) = -2*m**3 + 10*m**2 - 13*m - 6. Let n be q(5). Let y = n - -132. What is the units digit of y? 1 Let m(n) = -161*n + 6. Let s(y) = 323*y - 10. Let r(l) = 9*m(l) + 4*s(l). What is the hundreds digit of r(-1)? 1 Suppose -i + 11 + 539 = 0. What is the units digit of i? 0 What is the hundreds digit of (14/3 - -1)/((-2)/(-108))? 3 Let p(z) = -56*z**2 - z + 44*z**3 - 49*z**2 + 107*z**2. Let v = 0 + 1. What is the tens digit of p(v)? 4 Let t be 1*(-1 + 3)*(-3)/6. Let s(m) = m + 3. Let u be s(-5). What is the tens digit of (t - 0 - u)*19? 1 What is the hundreds digit of 11 + -12 + (-1884)/(-3)? 6 Let r(u) be the second derivative of u**4/12 - 3*u**2/2 + 5*u. Let y be r(0). What is the tens digit of (-54)/y*1*1? 1 Let o be (2 - (-12 - 2))/1. Let s(c) = 14*c - 30. Let u be s(2). What is the tens digit of ((-8)/o)/(u/60)? 1 Let l = 1826 + -1185. What is the tens digit of l? 4 Let h(g) be the first derivative of -g**4/2 - 2*g**3/3 + g**2/2 + 3*g + 9. What is the units digit of h(-3)? 6 Let h(m) = -8*m + 2. Let u be h(1). Let x(f) = 28*f + 1. Let b(j) = -57*j - 2. Let l(c) = u*b(c) - 13*x(c). What is the units digit of l(-1)? 1 Let n(t) = -t**3 + 2*t**2 + 5*t - 3. Suppose -6*z + z = -v - 22, 4*z - 8 = 4*v. Let q be n(v). Suppose -b - 42 = -q*b. What is the units digit of b? 1 Let c(o) = -3*o + 19. Let v be c(-12). Suppose -35 - v = -p. What is the tens digit of p? 9 Let i(m) = m**3 + 12*m**2 - 15*m - 17. Suppose -4*g - 61 = g - l, 0 = g - 5*l - 7. Let n be i(g). Suppose 0 = n*s - 2*s - 497. What is the tens digit of s? 7 Let v be 0 + 0*4/(-4). Suppose -5*r - 36 = -2*a - 155, -5*r + 5*a + 125 = v. Let f = -13 + r. What is the units digit of f? 0 Suppose -5*f = 2*f + 560. Let h = f - -118. What is the units digit of h? 8 Let f be (-10)/3*-3 - -3. Let d = 138 - f. What is the units digit of d? 5 Let q = -14 + 20. Let a(m) = 8*m - 2. Let g be a(q). Let b = -29 + g. What is the units digit of b? 7 Let j(v) = 54*v**2 + 142*v + 4. What is the hundreds digit of j(-7)? 6 Let b = 23 - -11. Suppose 2*y = 2*v + 12, y - 5*y = v - b. Let c(i) = i + 11. What is the tens digit of c(y)? 1 Suppose 0 = 18*t - 13*t + 580. What is the hundreds digit of (2 - (4 - 2))*-1 - t? 1 Let o = 3 - 3. Suppose o*i - 3 = -i. Suppose 13 = z + i*w + 2*w, -w - 52 = -4*z. What is the tens digit of z? 1 Suppose -5*t + 4*f - 460 = 0, t - 3*f + 106 = -5*f. Let o = t + 147. What is the units digit of o? 1 Suppose 12775 = -21*t + 46438. What is the tens digit of t? 0 What is the hundreds digit of 15/9 + 4116/36? 1 Suppose -7*h + 4*o + 416 = -5*h, -3*h + 596 = o. What is the hundreds digit of h? 2 Let g = -81 + 80. Let r(y) = 3*y**3 - 13*y**2 - 9*y + 2. Let p(b) = -2*b**3 + 6*b**2 + 4*b - 1. Let s(h) = 9*p(h) + 4*r(h). What is the units digit of s(g)? 7 Suppose 7*o - 2251 = 360. What is the hundreds digit of o? 3 Let b(x) = 26*x + 1. Let p be (-45)/(-18)*(-24)/(-15). What is the hundreds digit of b(p)? 1 Let v be 3/(-5) + 2/(-5). Let o be 3/v*8/(-12). Let x = o - -27. What is the tens digit of x? 2 What is the hundreds digit of (3252/(-18))/(2/(-3))? 2 Suppose 0*k + 2*k + 333 = 5*o, k + 183 = -3*o. Let d = -113 - k. What is the tens digit of d? 6 Suppose 6*x - 2*x = -24. What is the tens digit of 3/x*2 + 101? 0 Let k(i) = i**2 + 15*i - 54. Let l be k(-18). What is the tens digit of (-15 - 2)*(-5 + l)? 8 Suppose 1806 - 277 = g - 5*v, 1489 = g + 5*v. What is the thousands digit of g? 1 Let j(a) be the first derivative of -a**4/4 + a**3/3 + 116*a - 1. Let t be j(0). Suppose 0 = -3*u - 14 + t. What is the tens digit of u? 3 Suppose -v = 2*v - 5*q - 21, -4*v = q - 51. Let t be 23*90/((-100)/(-10)). What is the units digit of (t/v)/((-3)/(-12))? 9 Let p(o) = -3*o - 29. Let t be p(-11). What is the units digit of t/(-6) + (-1340)/(-12)? 1 Suppose 0 = -3*l + 5*a + 10, -2*a - 3*a = l + 10. Suppose 0 = 4*r - l*r + 60. Let n = -4 - r. What is the units digit of n? 1 Let p = -17 + 45. Suppose -p*v = -26*v - 104. What is the units digit of v? 2 Let n(j) = -j - 2. Let d(h) = -6*h - 11. Let v(c) = 6*d(c) - 34*n(c). Let z be v(-5). Suppose -z = -2*x + 2. What is the units digit of x? 7 Suppose 17*u + 54 = 1057. What is the tens digit of u? 5 Suppose -5 = -8*t + 7*t. Suppose -4*n + 284 = 2*y, -3*n + 0*n + 200 = -t*y. What is the tens digit of n? 7 Let j be 130/(-4)*(2 - 4). Suppose 4*d - j = 199. Let v = d + -46. What is the units digit of v? 0 Let q(v) = 2*v**2 - 40*v - 25. Let f be q(18). Let u = f + 207. What is the tens digit of u? 1 Suppose -4 = -4*i + 16. Let g(n) = -5*n + 19. Let v be g(7). What is the units digit of (-16 - v) + i*1? 5 Suppose 4*t - 2*t = 8. Suppose 2*c - 14 = 4*z, -t*c + 9 = c + 3*z. Suppose c*i - 62 = 7. What is the units digit of i? 3 Let c be (0 + 12/(-3))/((-23)/(-759)). Suppose 4*r - 5 = l + 3, -2*l + 3*r - 26 = 0. What is the tens digit of (c/l)/((-1)/(-8))? 6 Suppose -a - a = -24. Let z = a + -7. Suppose -z*p + 76 = -69. What is the units digit of p? 9 Let n = 270 - 447. Let c = n - -250. What is the tens digit of c? 7 Let s(w) = w**2 - 12*w + 23. Let l be s(10). Let r be (1 - 0)/((-2)/(-4)). Suppose -10 = -4*b + r*z + 52, -65 = -4*b + l*z. What is the units digit of b? 4 Let x(g) = 7*g + 23. Let b be x(-8). What is the units digit of (b/(-2))/(11/44)? 6 Let m(p) = p**2 + 4*p + 3. Let t be m(-6). Suppose 2*v = -3*v + t. Suppose -4*u = v*n - 34, n + 24 = 2*u - n. What is the tens digit of u? 1 Let l(f) = 2*f**2 + 10*f - 4. Let m be l(-8). Suppose -5*j = -25, j + 91 + m = 4*x. Suppose 12 = u - x. What is the units digit of u? 7 Let v(p) = -p**2 + 2*p - 11. Let q be v(0). Let g = 27 + q. What is the tens digit of g? 1 Let y be (-7)/(-21) - 22/(-6). Let u be y/(2 - (1 + 0)). What is the units digit of u - 14/(-4)*18? 7 Suppose -2 - 3 = -m. Suppose -m = -8*a + 27. What is the units digit of a? 4 Suppose 2 = 2*k + x, -3*k - 3*x = k - 6. Suppose k = 4*h - v - 228, -5*h - 6*v + 3*v + 285 = 0. What is the tens digit of h? 5 Let g be 60/(-25)*10/(-4). Let f = g - 6. Suppose 3*q - 5*i - 152 = f, 3*i - 80 = -5*q + 128. What is the units digit of q? 4 Let g = -37 + 92. Let v = g - 46. What is the units digit of v? 9 Let o(w) = 3*w + 2. Let g be o(2). Let i = -57 - -95. Let l = i + g. What is the units digit of l? 6 Suppose f - 5*f - 5*c = 10, 4*f - c - 2 = 0. Suppose 4*l - u - 469 = f, -4*l - u + 111 = -3*l. What is the units digit of l? 6 Let b(i) = -i**3 - i**2 + 28. Let u(v) = v**2 - 5*v + 4. Let a be u(4). Let x = 0 + a. What is the tens digit of b(x)? 2 Let p(o) = 44*o**2 - o + 20. What is the thousands digit of p(-5)? 1 Suppose 0 = -0*i + 3*i + 12. Let u be 110 + i/4 + 1. Let k = u + -64. What is the units digit of k? 6 Suppose 3 = 11*o - 10*o. Suppose 264 = o*u + 12. What is the units digit of u? 4 Let k(l) = -1 + 9*l - 19 - 23. What is the tens digit of k(21)? 4 Suppose -4*c - 2748 = -5*h, h + 2746 = 6*h - 3*c. What is the tens digit of h? 4 Let t(n) = -2*n - 10. Let f = 9 - 5. Suppose f*y = 5*h - 77, y + 5*h - 10 = 2. What is the units digit of t(y)? 6 Let g = 58 + 3658. What is the tens digit of g? 1 Suppose -295 = -2*m + 519. What is the units digit of m? 7 Suppose 6*a - 17 = a - q, 4*q = -12. Suppose 244*z = 248*z - 324. Suppose 5*m + 19 - 84 = c, -5*c + z = a*m. What is the tens digit of m? 1 Suppose -3*g + 2*l + 2*l = 32, -3*g = l + 37. Let j = 25 + g. What is the tens digit of j? 1 Suppose 8*w - 1772 - 3212 = 0. What is the units digit of w? 3 Let o = 43 - 39. Suppose -2*h - 74 = -o*v - 0*h, 3*h + 90 = 5*v. What is the tens digit of v? 2 Let m(y) = -2*y**2 - 16*y + 5. Let k be m(-6).
{ "pile_set_name": "DM Mathematics" }
equal? False Which is smaller: 2/9 or -32/7? -32/7 Is 291 greater than or equal to 291? True Which is smaller: -36/319 or 2? -36/319 Is 21 != 259/13? True Are -13/184 and 1 equal? False Which is greater: -195/4 or -49? -195/4 Is -0.1 less than -1/535? True Is 1 less than -57/7? False Which is smaller: -50568 or 0? -50568 Which is greater: -35 or -143/4? -35 Is 96 at most as big as 95? False Which is greater: 14811 or 14812? 14812 Is 801 >= 802? False Which is smaller: 2369 or 2367? 2367 Which is bigger: 76 or 78? 78 Which is greater: -26/29 or -1? -26/29 Is -116 >= -115? False Is -28830/13 less than -2219? False Which is smaller: -2/3 or -386? -386 Which is greater: 4323/8 or 541? 541 Which is smaller: -0.4 or 2/5? -0.4 Which is greater: -0.1 or -264? -0.1 Are -107/10 and -10 equal? False Is 458 < 458? False Is -6 less than or equal to -6? True Which is smaller: -1621 or 5? -1621 Are 12/29 and -1 equal? False Is 3455 bigger than 3454? True Which is greater: -3/6497 or 0? 0 Is 230 >= 2520/11? True Which is smaller: -11 or -53/5? -11 Which is smaller: -25/6 or 1? -25/6 Which is smaller: 0.6 or -0.02? -0.02 Is 14 not equal to 138/11? True Which is greater: 86 or 79? 86 Which is smaller: 2/5 or 2/2291? 2/2291 Is 19593 at most as big as 2/3? False Is -8578 less than or equal to -8577? True Is -4652 != -4648? True Which is bigger: 20 or -169? 20 Is 42 >= 459/11? True Are 131 and 1 equal? False Is -1 < 3/1957? True Is 106/9 at most as big as 12? True Is 1 less than 325? True Which is smaller: 18/13 or 1? 1 Is -0.3 equal to 126? False Is 0 <= -16/85? False Which is bigger: 347/2 or 173? 347/2 Which is smaller: 8955 or 8956? 8955 Is -1/2 at least as big as -866? True Is -5 != -84? True Does 2387 = 2380? False Which is smaller: -3/4 or -13? -13 Is 20 greater than 18? True Which is smaller: -0.1 or 2531/3? -0.1 Which is greater: -2/3 or 1370? 1370 Which is greater: 5/2193 or -1? 5/2193 Is 22 < 18? False Is 570 greater than or equal to 599? False Which is smaller: 10 or 2? 2 Which is bigger: 8/5 or 2/275? 8/5 Does -5182 = -5182? True Is 8 >= -0.21? True Which is greater: 1 or 2/8187? 1 Which is greater: 1300 or 1318? 1318 Are 80 and 81 non-equal? True Is 39 less than or equal to 1194/31? False Is -2/4955 greater than or equal to -0.1? True Is 1/4 greater than or equal to -512? True Is 0 bigger than 10/231? False Is 8/11 < 2? True Which is smaller: 6/4613 or -1? -1 Is -615 >= -614? False Which is bigger: -1 or 1/1253? 1/1253 Which is smaller: 1600/53 or 31? 1600/53 Are -1/4 and 7340 nonequal? True Which is smaller: 1/8 or 27? 1/8 Which is bigger: -1 or -3/2450? -3/2450 Is -1 less than -1/16? True Is -5/2 less than -4? False Do 0 and -423.88 have the same value? False Which is greater: -489 or -484? -484 Which is greater: -1.55 or -3/5? -3/5 Is -486 smaller than 4? True Which is smaller: -1037 or -1033? -1037 Which is bigger: 13/53 or 1? 1 Is -156 < -3582/23? True Is -1799 greater than -3595/2? False Which is smaller: 0 or -6/23? -6/23 Which is bigger: 0 or -1/64155? 0 Which is greater: -0.056 or -1/6? -0.056 Is 137/8 < 18? True Which is smaller: 1 or 1/3570? 1/3570 Is -10 bigger than -3? False Which is smaller: -19 or -39/2? -39/2 Which is greater: 0.1 or -124? 0.1 Do -41/9 and -6 have the same value? False Which is greater: 0.17 or 15? 15 Which is bigger: 14.8 or 1/3? 14.8 Which is smaller: -10832 or -10831? -10832 Is 55.91 >= 1? True Is -10 < -8? True Which is bigger: 87/14 or 6? 87/14 Is 85 less than or equal to 74? False Is 1 < 191? True Is 1 greater than or equal to -19/84? True Is 273 not equal to 2/5? True Which is bigger: -32 or 0.021? 0.021 Which is greater: 0 or -1954? 0 Which is greater: 3111 or 3113? 3113 Which is greater: -447 or -448? -447 Which is smaller: 124 or 125? 124 Which is greater: -10933 or -10932? -10932 Which is smaller: -10 or 1837? -10 Do 11 and 19 have the same value? False Which is smaller: 1 or 1/18410? 1/18410 Is -531 greater than -534? True Do 3/4757 and -1 have the same value? False Is 0 <= -4.65? False Which is smaller: 164 or 655/4? 655/4 Is -365 less than -368? False Which is smaller: -0.038 or 3? -0.038 Is 96 >= 97? False Which is bigger: 19/71 or 0.1? 19/71 Which is bigger: 6/3323 or -1? 6/3323 Which is smaller: 0.3994 or 3? 0.3994 Which is bigger: -2 or 433? 433 Is 75 smaller than 74? False Is -1825 at most -1825? True Which is smaller: 0.11 or -29? -29 Which is smaller: -4/6401 or -1? -1 Which is smaller: -2/5 or 4/33? -2/5 Which is bigger: -106/9 or -12? -106/9 Which is smaller: -45 or -63? -63 Which is greater: 1148 or 5733/5? 1148 Is -0.11 at least -0.9? True Is -10/13 bigger than 1/15? False Is 54 less than -13? False Is -36 not equal to -182/5? True Which is smaller: -7/3 or 183? -7/3 Is 2.058 > -2? True Which is smaller: 79 or -0.71? -0.71 Is -38 smaller than -5? True Is 16.6 != -5? True Which is bigger: -0.2 or 308.1? 308.1 Is -2522 at least -2525? True Which is bigger: -63 or -62? -62 Which is bigger: -40 or 2/145? 2/145 Is -22631 less than -22631? False Which is smaller: -0.8 or 0.083? -0.8 Which is smaller: -3 or -8? -8 Is 1/2 at most 730? True Which is smaller: -1 or -6/103? -1 Which is smaller: 57/5 or 10? 10 Is -4 < -50? False Is 64/9 greater than 7? True Is -386 > -381? False Is 3 < 70/23? True Is 99 smaller than 102? True Is 2/53 greater than -0.005? True Is -285/83 less than -4? False Is 15603 at most as big as -1? False Which is bigger: 0 or 46/35? 46/35 Which is bigger: 1 or -1/414? 1 Is -199 not equal to -201? True Is -1319 at least -1317? False Which is greater: -1/8 or 0.0848? 0.0848 Is 1823 smaller than -1? False Which is smaller: 68/35 or -1/2? -1/2 Which is greater: -0.3 or -32? -0.3 Is 80/9 >= 10? False Are -1 and 2/57 nonequal? True Which is greater: 0 or 1274? 1274 Is 0.04 != 0.22? True Is 1/1748 > 0? True Which is smaller: 8 or 0? 0 Which is bigger: -1/3 or -288? -1/3 Which is smaller: 1 or -2/195? -2/195 Which is greater: 1 or -2/59? 1 Is 2811 greater than or equal to 2811? True Is 1/47 at most 2/7? True Which is smaller: -43 or -37? -43 Which is smaller: 1 or 23/48? 23/48 Is 1104 less than or equal to 1104? True Which is smaller: 138 or 142? 138 Which is bigger: 0.8 or -1/13? 0.8 Is 147 less than 149? True Is 427 < 427? False Which is smaller: 24/11 or 3? 24/11 Which is smaller: -11 or -0.0471? -11 Is 13559 at least as big as 13559? True Is 15/7 at most 2? False Which is greater: 9813 or -1? 9813 Is 1 at most -2/17? False Which is bigger: 2127 or 2129? 2129 Is -1 at least -405.6? True Which is bigger: -35 or -33? -33 Which is smaller: -5 or 5? -5 Which is smaller: -1969/13 or -152? -152 Is -593 smaller than -592? True Is 1577/2 > 789? False Is 64/29 less than 1? False Which is smaller: -909 or -913? -913 Are -991 and -992 equal? False Which is smaller: -734/21 or -36? -36 Which is smaller: 0.1 or -4/27? -4/27 Which is greater: -166/9 or 1? 1 Is 0 <= 10/113? True Which is bigger: 427 or 428? 428 Which is smaller: 1 or 40/473? 40/473 Which is bigger: 0 or -32? 0 Is 831 <= -0.2? False Is -0.2 < 40? True Which is smaller: -1 or -3783? -3783 Is 204 equal to 203? False Is -4/91 at least as big as 1? False Is -1 greater than 2/71? False Is 1/16 <= -1? False Which is greater: -97/28 or -4? -97/28 Are 3 and -117 equal? False Which is greater: -4/379 or 0? 0 Is -387 > -392? True Is 445 greater than 444? True Which is smaller: 207 or -0.2? -0.2 Does -209 = -0.27? False Is 3/185 greater than or equal to 1? False Is -259 greater than or equal to -229? False Which is bigger: -11625 or 2/5? 2/5 Which is greater: -2 or -4.5? -2 Which is bigger: -718/5 or 1? 1 Is -456 >= -454? False Is 0 greater than -5/514? True Is -2356 bigger than -2354? False Is 107 greater than 106? True Is 3/24560 equal to 0? False Which is greater: 12 or 13? 13 Is 34 <= 36? True Which is smaller: -88/683 or 1? -88/683 Which is bigger: -0.4 or -0.071? -0.071 Is 1/3 less than 8540? True Which is greater: -838 or -833? -833 Is 19 less than or equal to 746/37? True Which is greater: -74 or -5? -5 Which is smaller: 102 or 107? 102 Is -1067 < -1068? False Do 133 and -2/5 have the same value? False Which is smaller: 22/161 or -1? -1 Which is smaller: -5736 or -5740? -5740 Which is bigger: 165/107 or 1? 165/107 Are -1/5895 and 1 une
{ "pile_set_name": "DM Mathematics" }
173863754? 2, 86931877 List the prime factors of 233635522. 2, 17, 241, 28513 List the prime factors of 30834995. 5, 6166999 List the prime factors of 15125537. 7, 157, 13763 List the prime factors of 132747695. 5, 26549539 What are the prime factors of 1827603568? 2, 7, 2331127 List the prime factors of 4005511656. 2, 3, 166896319 What are the prime factors of 695882953? 107, 661, 9839 What are the prime factors of 1561707389? 11, 563, 252173 What are the prime factors of 44738096? 2, 13, 215087 What are the prime factors of 93123232? 2, 2910101 What are the prime factors of 41937173? 41937173 What are the prime factors of 114111431? 7, 16301633 What are the prime factors of 418021904? 2, 1021, 25589 What are the prime factors of 181423861? 12241, 14821 List the prime factors of 239406923. 7, 409, 83621 What are the prime factors of 1675599552? 2, 3, 11, 373, 709 What are the prime factors of 23137219? 7, 3305317 What are the prime factors of 229330959? 3, 11, 13, 534571 What are the prime factors of 7789490346? 2, 3, 11, 118022581 List the prime factors of 10162263. 3, 3387421 What are the prime factors of 68170629? 3, 17, 149, 8971 List the prime factors of 432719013. 3, 6863, 21017 What are the prime factors of 4410677087? 23, 1499, 127931 What are the prime factors of 536028566? 2, 4421, 60623 What are the prime factors of 56233511? 787, 71453 What are the prime factors of 3189331974? 2, 3, 531555329 What are the prime factors of 5279185? 5, 769, 1373 List the prime factors of 819477551. 9227, 88813 List the prime factors of 3405218685. 3, 5, 11, 173, 119293 List the prime factors of 3359498067. 3, 373277563 What are the prime factors of 186886880? 2, 5, 1168043 What are the prime factors of 850039235? 5, 170007847 What are the prime factors of 167678441? 7, 23, 148783 What are the prime factors of 1691225285? 5, 79, 4281583 What are the prime factors of 39269194? 2, 19634597 List the prime factors of 349246109. 433, 809, 997 List the prime factors of 47497566. 2, 3, 37, 213953 What are the prime factors of 130651366? 2, 37, 1765559 List the prime factors of 5411857269. 3, 7, 13, 19823653 List the prime factors of 85765210. 2, 5, 8576521 What are the prime factors of 213141478? 2, 11, 17, 569897 List the prime factors of 2443376291. 2443376291 List the prime factors of 15031806. 2, 3, 2505301 What are the prime factors of 1565211535? 5, 227, 479, 2879 List the prime factors of 50293931. 19, 2647049 What are the prime factors of 383992366? 2, 271, 708473 What are the prime factors of 92485088? 2, 43, 67213 List the prime factors of 87417000. 2, 3, 5, 11, 883 What are the prime factors of 248006375? 5, 37, 53623 List the prime factors of 4985232845. 5, 41, 24318209 List the prime factors of 86735750. 2, 5, 346943 List the prime factors of 1336965903. 3, 7, 13, 1632437 What are the prime factors of 2846912742? 2, 3, 158161819 List the prime factors of 273292313. 7, 241, 161999 What are the prime factors of 5185607156? 2, 1296401789 What are the prime factors of 34962966? 2, 3, 1942387 What are the prime factors of 101359760? 2, 5, 379, 3343 List the prime factors of 6896658785. 5, 107, 719, 17929 List the prime factors of 2616327532. 2, 7, 13, 659, 839 List the prime factors of 12920603. 317, 40759 What are the prime factors of 61364531? 31, 509, 3889 List the prime factors of 165186691. 67, 2465473 What are the prime factors of 63426227? 631, 100517 List the prime factors of 248986827. 3, 3137, 8819 What are the prime factors of 137689578? 2, 3, 13, 196139 List the prime factors of 580348589. 37, 331, 47387 List the prime factors of 937615845. 3, 5, 53, 79, 14929 What are the prime factors of 115142626? 2, 101, 570013 What are the prime factors of 16940870? 2, 5, 199, 8513 What are the prime factors of 157002221? 157002221 List the prime factors of 2700310663. 8287, 325849 What are the prime factors of 4480517? 4480517 List the prime factors of 83920262. 2, 17, 43, 61, 941 List the prime factors of 34325808. 2, 3, 11, 65011 What are the prime factors of 309808842? 2, 3, 7, 1693, 4357 List the prime factors of 179023598. 2, 13, 67, 102769 What are the prime factors of 1109645428? 2, 277411357 What are the prime factors of 304946110? 2, 5, 7, 41, 43, 353 List the prime factors of 3249185025. 3, 5, 197, 219911 List the prime factors of 471577813. 7, 9624037 What are the prime factors of 389675604? 2, 3, 32472967 What are the prime factors of 601970071? 967, 622513 What are the prime factors of 73388409? 3, 283, 86441 List the prime factors of 118145147. 118145147 List the prime factors of 2324069347. 269, 8639663 What are the prime factors of 3705492378? 2, 3, 7, 88226009 What are the prime factors of 80372137? 29, 83, 33391 What are the prime factors of 36794521? 1459, 25219 What are the prime factors of 7883130902? 2, 389, 439, 23081 What are the prime factors of 66896190? 2, 3, 5, 17, 23, 1901 What are the prime factors of 1806171867? 3, 163, 1231201 List the prime factors of 26081928. 2, 3, 151, 2399 What are the prime factors of 52755884? 2, 79, 166949 List the prime factors of 13334598. 2, 3, 246937 List the prime factors of 157261800. 2, 3, 5, 262103 List the prime factors of 3590225083. 67, 101, 530549 What are the prime factors of 147405409? 8647, 17047 What are the prime factors of 321788964? 2, 3, 7, 73, 97, 541 List the prime factors of 2553054669. 3, 11, 101, 311, 821 What are the prime factors of 372168104? 2, 7, 11, 233, 2593 What are the prime factors of 3925726717? 11, 17, 20993191 List the prime factors of 835187900. 2, 5, 17, 443, 1109 What are the prime factors of 50955609? 3, 83, 204641 What are the prime factors of 197373122? 2, 98686561 List the prime factors of 60514077. 3, 13, 31, 50053 List the prime factors of 268618611. 3, 67, 73, 18307 What are the prime factors of 138256554? 2, 3, 739, 31181 What are the prime factors of 643974699? 3, 263, 816191 List the prime factors of 135049787. 135049787 List the prime factors of 325169904. 2, 3, 101, 67073 What are the prime factors of 1972942039? 43, 45882373 List the prime factors of 815522319. 3, 90613591 List the prime factors of 31416239. 31416239 List the prime factors of 55156222. 2, 11, 1297, 1933 What are the prime factors of 336691966? 2, 13, 12949691 What are the prime factors of 1419038494? 2, 107, 6631021 What are the prime factors of 473745378? 2, 3, 78957563 List the prime factors of 1278219297. 3, 149, 2859551 What are the prime factors of 735265004? 2, 5107, 35993 What are the prime factors of 359270582? 2, 11, 19, 163, 5273 List the prime factors of 14281566. 2, 3, 13, 277, 661 What are the prime factors of 11610716? 2, 13, 223283 What are the prime factors of 83761586? 2, 1163, 36011 List the prime factors of 35507434. 2, 157, 113081 List the prime factors of 2070976027. 1277, 1621751 List the prime factors of 57655148. 2, 79, 182453 What are the prime factors of 139192527? 3, 23, 2017283 List the prime factors of 74791566. 2, 3, 73, 18973 List the prime factors of 47632859. 47632859 List the prime factors of 299492038. 2, 5087, 29437 What are the prime factors of 753719737? 10273, 73369 What are the prime factors of 170977239? 3, 23, 157, 5261 List the prime factors of 4169473578. 2, 3, 103, 347, 6481 List the prime factors of 8282128. 2, 17, 30449 List the prime factors of 34856752. 2, 7, 139, 2239 What are the prime factors of 41158502? 2, 7, 11, 67, 3989 List the prime factors of 177784370. 2, 5, 17778437 What are the prime factors of 460837986? 2, 3, 7, 1693, 6481 What are the prime factors of 1272932998? 2, 636466499 What are the prime factors of 146190293? 17, 37, 232417 What are the prime factors of 47132451? 3, 23, 227693 List the prime factors of 537334690. 2, 5, 53733469 What are the prime factors of 35557316? 2, 8889329 What are the prime factors of 3553344? 2, 3, 31, 199 What are the prime factors of 229417550? 2, 5, 17, 29, 41, 227 What are the prime factors of 391193458? 2, 195596729 List the prime factors of 855292946. 2, 427646473 What are the prime factors of 119102098? 2, 59551049 List the prime factors of 2831978097. 3, 13, 53, 456697 List the prime factors of 3620962768. 2, 226310173 List the prime factors of 233146107. 3, 959449
{ "pile_set_name": "DM Mathematics" }
Let w(b) = 12 - 4 + 4*b + 8*b**2 - 5*b + 3*b. Let x(p) = -23*p**2 - 5*p - 23. Let u(h) = t*x(h) - 17*w(h). Factor u(g). 2*(g - 1)**2 Factor 100*o**3 + 14*o**5 - 60*o**4 + 19*o + 22*o - 4 - 80*o**2 - 11*o. 2*(o - 1)**4*(7*o - 2) Let a be (-66)/396 - ((-10)/(-12))/(-5). What is m in 3/4*m**2 + 3/8*m**3 + 0 + a*m = 0? -2, 0 Let d(j) be the third derivative of j**8/2856 - j**6/340 - j**5/255 + 8*j**2. Factor d(p). 2*p**2*(p - 2)*(p + 1)**2/17 Let o(x) = x - 2. Let n be o(7). Let k(q) = -q + 7. Let w be k(0). Factor n*m - 9*m**2 - 7*m**3 - w*m**2 - 2 - 16*m. -(m + 1)**2*(7*m + 2) Let o(r) be the third derivative of -r**6/240 - r**5/30 - r**4/12 - 22*r**2. Factor o(y). -y*(y + 2)**2/2 Let c(y) = -2*y**3 + 7*y**2 + 3*y - 3. Let u(v) = v**3 - 4*v**2 - v + 1. Let q(p) = -3*c(p) - 5*u(p). Factor q(m). (m - 2)*(m - 1)*(m + 2) Let g(t) = t**2 - t + 1. Suppose -1 = -3*r + 5. Let x be g(r). Find y, given that 6*y + 0 - x + 0*y**2 - 3*y**2 = 0. 1 Let j(o) be the first derivative of 5*o**4/4 - 40*o**3/3 - 95*o**2/2 - 50*o + 8. Let j(p) = 0. Calculate p. -1, 10 Let a(d) be the first derivative of -d**6/6 - 13*d**5/20 - 11*d**4/16 - d**3/6 + 17. Let a(m) = 0. Calculate m. -2, -1, -1/4, 0 Let o(g) be the third derivative of g**6/30 + g**5/15 - g**4/3 - 10*g**2. Solve o(m) = 0 for m. -2, 0, 1 Let n(x) = 3*x**5 - 3*x**4 + 7*x**3 - 3*x**2 + 2. Let a(y) = -4*y**5 + 2*y**4 - 7*y**3 + 3*y**2 - 3. Let q(j) = -4*a(j) - 6*n(j). Factor q(g). -2*g**2*(g - 3)*(g - 1)**2 Let b be 1/((-6)/28*(-7)/6). Let x(t) be the third derivative of 1/60*t**5 + 0 + 1/12*t**b + 0*t**3 + 0*t - 2*t**2. Suppose x(d) = 0. Calculate d. -2, 0 Let d(h) be the third derivative of h**5/60 + h**4/2 + 6*h**3 + h**2. Suppose d(g) = 0. Calculate g. -6 Let z(d) be the third derivative of 1/300*d**6 + 0*d**4 - 1/525*d**7 + 0*d**3 + d**2 - 1/840*d**8 + 1/150*d**5 + 0 + 0*d. Factor z(m). -2*m**2*(m - 1)*(m + 1)**2/5 Let z = -184 - -1292/7. Find a, given that -2/7*a**2 - 2/7 + z*a = 0. 1 Factor -1/4 - 1/4*x**2 + 1/2*x. -(x - 1)**2/4 Let l(a) be the third derivative of a**5/10 + 7*a**4/24 + 5*a**3/6 - 2*a**2. Let z(p) = -25*p**2 - 28*p - 21. Let f(v) = 26*l(v) + 6*z(v). Factor f(h). 2*(h + 2)*(3*h + 1) Suppose -y + w + 10 = 0, -5*y + 40 = -3*y + 2*w. Factor 12*u + 4 + 2*u**3 + 4*u**2 - 8 - y*u**3 + u**3. -4*(u - 1)*(u + 1)*(3*u - 1) Let b = -26099/180 - -145. Let c(d) be the third derivative of 0*d**3 - b*d**5 + 0*d + 0 - 2*d**2 - 1/72*d**4. Factor c(w). -w*(w + 1)/3 Let h(b) be the third derivative of -b**5/15 - 4*b**4/3 - 32*b**3/3 + 4*b**2. Let h(c) = 0. Calculate c. -4 Let h(y) be the second derivative of -y**8/13440 + y**6/480 - y**5/120 - y**4/12 + 6*y. Let x(n) be the third derivative of h(n). Factor x(d). -(d - 1)**2*(d + 2)/2 Suppose j + 0*j + 4 = 0. Let w be 3 - (-1 - j/1). Factor 0*a + w + 1/3*a**3 + 1/3*a**2. a**2*(a + 1)/3 Suppose 3*b = -2*w - 4, w = -5*b - 2*w - 6. Let k be b/(1 - 0/4). Factor k + 1/2*u - 1/4*u**2. -u*(u - 2)/4 Determine x so that -19*x**2 + 3*x**4 - 6 + 9 + 4*x**2 + 9 = 0. -2, -1, 1, 2 Suppose 2*w - 5*g = -22, -4*w = -0*w - 3*g + 30. Let b(d) = 3*d**2 + 23*d + 17. Let t(z) = -z**2 - 8*z - 6. Let j(f) = w*b(f) - 17*t(f). Factor j(a). -a*(a + 2) Let z(y) = y**2 - 2*y - 2. Let q be z(3). Let c be (-1 + q + 1)*4. Suppose 2 - 5*v + 0*v**c + 5*v**3 + 0*v**4 - 14*v**2 + 12*v**4 = 0. What is v? -1, -2/3, 1/4, 1 Suppose -3*n = -3 - 12. Let t be 12/n + (-21)/(-35). Factor t*z + 3*z**4 + 2*z**2 - z - 3*z**3 - z**3 - 3*z**2. z*(z - 1)**2*(3*z + 2) Let x = -156 + 158. Let g(j) be the second derivative of 0 + x*j + 0*j**3 - 1/75*j**6 + 0*j**5 + 1/30*j**4 + 0*j**2. Factor g(u). -2*u**2*(u - 1)*(u + 1)/5 Solve 8/7 + 30/7*g**2 + 2/7*g**4 + 26/7*g + 2*g**3 = 0 for g. -4, -1 Let r(f) be the third derivative of -1/18*f**3 + 1/90*f**5 - 1/630*f**7 + 0*f - 2*f**2 + 0 + 0*f**6 + 0*f**4. Solve r(j) = 0 for j. -1, 1 Suppose 4*v - 2*v = 6. Let -m**2 + 2 + 3 - 4 - v*m - 3 = 0. Calculate m. -2, -1 Let d(j) = 2*j**4 - 4*j**3 + 2*j**2 + 2*j + 2. Let y(p) = 1 - 6*p + 9 + 9*p**2 + 8*p**4 - 1 - 16*p**3 + 15*p. Let l(u) = 9*d(u) - 2*y(u). Factor l(z). 2*z**3*(z - 2) Let i(n) be the second derivative of -n**7/56 - n**6/12 + 5*n**4/24 + n**3/8 - 21*n. Find g such that i(g) = 0. -3, -1, -1/3, 0, 1 Let b(i) be the first derivative of -i**6/1440 + i**5/240 - i**4/96 - 2*i**3/3 - 2. Let c(f) be the third derivative of b(f). Solve c(p) = 0 for p. 1 Solve a**2 - 4 + 2 - 1 - 3*a + 5*a = 0. -3, 1 Let a(g) = -2*g**3 - 6*g**2 - 4*g - 4. Let j(z) = -5*z**3 - 17*z**2 - 12*z - 11. Let c(p) = 11*a(p) - 4*j(p). Factor c(m). -2*m*(m - 2)*(m + 1) Let -2 - 4*d**2 - d**3 + 1 - 5*d - 3 + 2 = 0. Calculate d. -2, -1 Suppose -3 = 3*w, -6*d + 4*d + 2 = -2*w. Factor -1/5*r - 3/5*r**2 - 3/5*r**3 + d - 1/5*r**4. -r*(r + 1)**3/5 Let r(j) be the first derivative of -4*j + 1/7*j**2 + 3 + 1/42*j**4 + 2/21*j**3. Let x(h) be the first derivative of r(h). Factor x(u). 2*(u + 1)**2/7 Let k(b) be the first derivative of 5*b**6/63 + 2*b**5/15 + b**4/21 - 21. Factor k(v). 2*v**3*(v + 1)*(5*v + 2)/21 Let m(k) be the third derivative of -5*k**8/336 + k**7/42 + k**6/24 - k**5/12 + 5*k**2. Factor m(q). -5*q**2*(q - 1)**2*(q + 1) Let d be -3*2/(-2)*-3. Let t = 11 + d. Factor 1/3*o**3 + 1/3*o**t + 0*o + 0. o**2*(o + 1)/3 Let c(u) be the second derivative of -19*u**4/48 - 7*u**3/8 - u**2/4 + 12*u. Find j, given that c(j) = 0. -1, -2/19 Let m(k) = -k**4 - k**2 - 1. Let l(n) = -5*n**4 - 135*n**3 + 240*n**2 - 105*n - 70. Let a(d) = -l(d) + 25*m(d). What is f in a(f) = 0? -1/4, 1, 3 Let o(m) be the second derivative of -m**4/4 + m**3 - 3*m**2/2 + 6*m. Factor o(f). -3*(f - 1)**2 Let d(t) = -17*t**3 - 10*t**2 + 3*t - 5. Let o(a) = -9*a**3 - 5*a**2 + 2*a - 3. Let r(l) = 3*d(l) - 5*o(l). Factor r(p). -p*(2*p + 1)*(3*p + 1) Let a be (3 + 5 + -5)*(-2)/(-12). Factor a + 7/4*t + 5/4*t**3 + 1/4*t**4 + 9/4*t**2. (t + 1)**3*(t + 2)/4 Let r(g) be the first derivative of g**6/6 - 4*g**5/5 + g**4/4 + 2*g**3 - 47. Factor r(y). y**2*(y - 3)*(y - 2)*(y + 1) Let c be -6 + (5 - (2 - 6)). Factor -4/9*r**2 + 0 - 2/9*r**c - 2/9*r. -2*r*(r + 1)**2/9 Let d(p) be the first derivative of -4*p**3/15 - 36*p**2/5 - 324*p/5 + 13. Factor d(b). -4*(b + 9)**2/5 Factor 12/5 + 2/5*a**4 + 42/5*a**2 + 18/5*a**3 + 38/5*a. 2*(a + 1)**3*(a + 6)/5 Let g(p) = 6*p**3 + 2*p + 3*p - 4*p + 7*p**2 - 3*p**4 - 7*p. Let l(w) = 10*w**4 - 17*w**3 - 21*w**2 + 17*w. Let x(v) = 11*g(v) + 4*l(v). Factor x(q). q*(q - 1)*(q + 1)*(7*q - 2) Let m be (-5 - 1)/(3/(-2)). Let u = -2 + m. Find c, given that 2/9*c**u - 4/9*c + 0 = 0. 0, 2 Factor -3/5*d**2 + 0 + 0*d - 1/5*d**4 + 4/5*d**3. -d**2*(d - 3)*(d - 1)/5 Let m(z) be the first derivative of 1/4*z**2 + 1/2*z - 1/3*z**3 - 1 + 1/10*z**5 + 1/12*z**6 - 1/4*z**4. Factor m(r). (r - 1)**2*(r + 1)**3/2 Let c(f) = -2*f - 2. Let s be c(-6). Suppose 0 = 3*i - 4 - 2, -4*j + 3*i + s = 0. Suppose 0 - 1/3*y**2 + 0*y - y**3 - 1/3*y**5 - y**j = 0. Calculate y. -1, 0 Let o(x) be the second derivative of -7*x**5/50 - x**4/30 + 7*x**3/15 + x**2/5 + 25*x. Find u such that o(u) = 0. -1, -1/7, 1 Suppose k - 6*w + w + 8 = 0, 6 = 5*k - 2*w. Suppose -14/3*x**k + 4/3*x + 0 = 0. Calculate x. 0, 2/7 Solve 4/9*w**2 + 1/9*w**3 - 1/9*w**4 - 4/9*w + 0 = 0. -2, 0, 1, 2 Let f(h) be the third derivative of 0 + 0*h + 1/15*h**6 + 1/24*h**4 + 1/60*h**7 + 4*h**2 + 11/120*h**5 + 0*h**3. Determine o so that f(o) = 0. -1, -2/7, 0 Let n(x) be the second derivative of x**6/660 - x**5/165 - x**4/132 + 2*x**3/33 + x**2 - 2*x. Let l(c) be the first derivative of n(c). Factor l(w). 2*(w - 2)*(w - 1)*(w + 1)/11 Let c be (-60)/54 - (-12)/27 - -1. Solve -2/3*b + c + 2/3*b**3 - 1/3*b**2 = 0 for b. -1, 1/2, 1 Let h(i) be the first derivative of i**3/8 - 3*i**2/16 - 3*i/4 - 31. Factor h(a). 3*(a - 2)*(a + 1)/8 Let l(i) = i**2 + 4*i + 2. Let w be l(-5). Suppose 5*c = -h + 22, h + w*c - 18 = 3*c. Let 0*u - 1/3*u**4 + 1/3*u**5 + 0 - 1/3*u**3 + 1/3*u**h = 0. Calculate u. -1, 0, 1 Let q = -15 - -9. Let r be (21/q)/(-1) - 3. Factor 1/2*j + r - 1/2*j**2 - 1/2*j**3. -(j - 1)*(j + 1)**2/2 Let f(h) be the third derivative of 0 - 1/120*h**6 + 0*h - 1/12*h**4 - 1/20*h**5 + 5*h**2 + 0*h**3. Determine q so that f(q) = 0. -2, -1, 0 Solve -32/5*r - 128/5 - 2/5*r**2 = 0 for r. -8 Factor 0 - 2/7*w**2 - 2/7*w. -2*w*(w + 1)/7 Suppose 3*q
{ "pile_set_name": "DM Mathematics" }
many minutes are there between 12:15 PM and 10:31 PM? 616 How many minutes are there between 12:33 AM and 1:11 AM? 38 What is 51 minutes after 5:10 PM? 6:01 PM What is 71 minutes after 3:27 AM? 4:38 AM How many minutes are there between 8:16 PM and 1:37 AM? 321 What is 605 minutes before 2:31 PM? 4:26 AM How many minutes are there between 12:02 AM and 7:01 AM? 419 How many minutes are there between 7:14 PM and 9:15 PM? 121 How many minutes are there between 10:53 AM and 10:59 AM? 6 How many minutes are there between 5:30 AM and 5:19 PM? 709 How many minutes are there between 12:05 AM and 8:32 AM? 507 What is 186 minutes after 11:03 PM? 2:09 AM How many minutes are there between 6:25 AM and 10:16 AM? 231 What is 69 minutes after 10:07 AM? 11:16 AM What is 127 minutes before 5:46 AM? 3:39 AM What is 530 minutes after 7:40 PM? 4:30 AM How many minutes are there between 1:37 AM and 6:58 AM? 321 What is 552 minutes after 2:21 AM? 11:33 AM How many minutes are there between 5:28 PM and 1:14 AM? 466 How many minutes are there between 12:27 AM and 9:43 AM? 556 How many minutes are there between 9:43 AM and 9:53 AM? 10 What is 203 minutes before 12:20 AM? 8:57 PM How many minutes are there between 1:41 PM and 12:57 AM? 676 How many minutes are there between 8:39 AM and 3:58 PM? 439 How many minutes are there between 2:54 PM and 3:33 PM? 39 What is 9 minutes after 12:26 AM? 12:35 AM How many minutes are there between 6:48 PM and 8:49 PM? 121 How many minutes are there between 12:32 PM and 9:18 PM? 526 How many minutes are there between 2:58 AM and 11:57 AM? 539 What is 620 minutes before 11:50 PM? 1:30 PM What is 599 minutes after 11:37 AM? 9:36 PM What is 605 minutes after 1:28 PM? 11:33 PM What is 265 minutes after 3:38 PM? 8:03 PM How many minutes are there between 4:27 AM and 6:03 AM? 96 How many minutes are there between 12:55 PM and 4:22 PM? 207 How many minutes are there between 12:21 AM and 11:52 AM? 691 What is 48 minutes after 7:20 AM? 8:08 AM What is 583 minutes before 9:34 AM? 11:51 PM How many minutes are there between 7:33 AM and 4:49 PM? 556 What is 676 minutes after 8:28 AM? 7:44 PM How many minutes are there between 2:11 AM and 2:53 AM? 42 How many minutes are there between 9:53 PM and 9:40 AM? 707 How many minutes are there between 2:17 AM and 2:52 AM? 35 What is 289 minutes after 6:25 AM? 11:14 AM How many minutes are there between 8:07 AM and 1:07 PM? 300 How many minutes are there between 6:34 PM and 9:26 PM? 172 What is 38 minutes before 5:56 PM? 5:18 PM How many minutes are there between 8:13 PM and 5:55 AM? 582 What is 697 minutes before 2:47 AM? 3:10 PM How many minutes are there between 11:03 PM and 11:42 PM? 39 How many minutes are there between 9:35 PM and 4:06 AM? 391 What is 237 minutes before 10:04 AM? 6:07 AM What is 560 minutes before 9:14 AM? 11:54 PM How many minutes are there between 7:47 AM and 2:18 PM? 391 How many minutes are there between 6:50 AM and 2:00 PM? 430 How many minutes are there between 4:12 PM and 7:08 PM? 176 How many minutes are there between 7:22 PM and 3:27 AM? 485 What is 25 minutes after 9:01 PM? 9:26 PM How many minutes are there between 6:34 AM and 1:02 PM? 388 How many minutes are there between 7:07 AM and 9:29 AM? 142 What is 670 minutes after 3:23 AM? 2:33 PM What is 374 minutes after 3:25 AM? 9:39 AM What is 185 minutes before 3:24 AM? 12:19 AM How many minutes are there between 11:15 AM and 4:10 PM? 295 What is 52 minutes after 2:20 PM? 3:12 PM How many minutes are there between 9:04 PM and 4:05 AM? 421 What is 402 minutes after 11:23 PM? 6:05 AM What is 137 minutes before 12:29 AM? 10:12 PM What is 277 minutes after 2:12 PM? 6:49 PM What is 27 minutes before 10:09 PM? 9:42 PM What is 688 minutes before 7:03 PM? 7:35 AM What is 676 minutes before 9:30 PM? 10:14 AM What is 175 minutes before 5:32 AM? 2:37 AM What is 719 minutes before 4:25 AM? 4:26 PM What is 444 minutes before 7:27 PM? 12:03 PM How many minutes are there between 3:23 PM and 10:11 PM? 408 How many minutes are there between 10:59 PM and 6:46 AM? 467 What is 194 minutes after 7:54 PM? 11:08 PM What is 685 minutes after 10:07 PM? 9:32 AM What is 617 minutes after 1:54 PM? 12:11 AM How many minutes are there between 1:23 AM and 4:24 AM? 181 How many minutes are there between 7:50 PM and 4:14 AM? 504 How many minutes are there between 3:57 AM and 11:47 AM? 470 How many minutes are there between 9:47 PM and 9:36 AM? 709 How many minutes are there between 2:04 PM and 3:55 PM? 111 What is 584 minutes before 2:35 AM? 4:51 PM What is 111 minutes before 3:48 AM? 1:57 AM What is 715 minutes before 1:07 PM? 1:12 AM How many minutes are there between 8:41 PM and 2:04 AM? 323 How many minutes are there between 4:55 PM and 3:42 AM? 647 What is 376 minutes after 5:52 PM? 12:08 AM How many minutes are there between 4:30 AM and 7:05 AM? 155 How many minutes are there between 5:47 PM and 6:23 PM? 36 How many minutes are there between 10:56 PM and 1:08 AM? 132 What is 136 minutes before 8:48 PM? 6:32 PM What is 530 minutes after 1:01 PM? 9:51 PM What is 244 minutes after 8:48 AM? 12:52 PM What is 406 minutes before 12:37 AM? 5:51 PM What is 159 minutes before 9:03 AM? 6:24 AM How many minutes are there between 11:47 PM and 11:17 AM? 690 What is 618 minutes after 4:24 PM? 2:42 AM What is 429 minutes after 7:20 PM? 2:29 AM What is 714 minutes before 8:00 PM? 8:06 AM How many minutes are there between 10:45 AM and 10:34 PM? 709 How many minutes are there between 8:23 AM and 7:54 PM? 691 What is 96 minutes before 10:51 AM? 9:15 AM What is 194 minutes before 3:25 AM? 12:11 AM What is 391 minutes before 11:19 PM? 4:48 PM What is 707 minutes after 6:30 PM? 6:17 AM What is 11 minutes before 10:54 PM? 10:43 PM How many minutes are there between 9:53 PM and 1:59 AM? 246 What is 71 minutes after 2:11 PM? 3:22 PM What is 286 minutes after 10:32 AM? 3:18 PM How many minutes are there between 2:20 AM and 11:38 AM? 558 How many minutes are there between 8:23 PM and 1:14 AM? 291 How many minutes are there between 1:39 AM and 3:07 AM? 88 What is 557 minutes after 12:40 PM? 9:57 PM What is 300 minutes before 10:51 AM? 5:51 AM What is 76 minutes before 7:50 AM? 6:34 AM What is 532 minutes after 6:55 AM? 3:47 PM What is 677 minutes before 10:15 AM? 10:58 PM How many minutes are there between 1:08 PM and 1:58 PM? 50 What is 570 minutes after 10:01 PM? 7:31 AM How many minutes are there between 10:48 PM and 9:04 AM? 616 How many minutes are there between 8:20 PM and 6:04 AM? 584 What is 582 minutes before 10:40 AM? 12:58 AM How many minutes are there between 4:01 AM and 11:49 AM? 468 What is 202 minutes before 11:05 PM? 7:43 PM How many minutes are there between 8:25 AM and 9:55 AM? 90 What is 376 minutes before 1:37 AM? 7:21 PM How many minutes are there between 6:24 AM and 2:18 PM? 474 What is 610 minutes after 11:36 AM? 9:46 PM What is 69 minutes before 5:04 AM? 3:55 AM What is 337 minutes before 5:39 AM? 12:02 AM What is 599 minutes after 5:03 AM? 3:02 PM How many minutes are there between 10:08 AM and 4:36 PM? 388 What is 538 minutes after 8:32 PM? 5:30 AM What is 482 minutes after 6:11 PM? 2:13 AM What is 97 minutes before 8:22 PM? 6:45 PM How many minutes are there between 3:10 AM and 9:37 AM? 387 How many minutes are there between 12:01 AM and 5:24 AM? 323 How many minutes are there between 5:59 AM and 1:33 PM? 454 What is 120 minutes before 8:58 PM? 6:58 PM What is 20 minutes after 11:05 PM? 11:25 PM What is 646 minutes before 3:22 PM? 4:36 AM How many minutes are there between 10:14 PM and 6:42 AM? 508 What is 564 minutes after 10:37 AM? 8:01 PM What is 159 minutes before 10:27 PM? 7:48 PM How many minutes are there between 6:02 PM and 6:35 PM? 33 What is 535 minutes after 12:27 PM? 9:22 PM What is 539 minutes after 7:39 AM? 4:38 PM How many minutes are there between 10:11 PM and 8:16 AM? 605 What is 327 minutes before 4:30 PM? 11:03 AM What is 501 minutes before 8:38 AM? 12:17 AM How many minutes are there between 3:52 PM and 9:12 PM? 320 How many minutes are there between 3:50 AM and 6:12 AM? 142 What is 135 minutes after 7:05 AM? 9:20 AM What is 609 minutes before 2:05 PM? 3:56 AM How many minutes are there between 2:28 PM and 12:04 AM? 576 What i
{ "pile_set_name": "DM Mathematics" }
to the nearest integer? 5089 What is 2144822 to the power of 1/3, to the nearest integer? 129 What is the third root of 534275 to the nearest integer? 81 What is the cube root of 1556917 to the nearest integer? 116 What is 1023 to the power of 1/3, to the nearest integer? 10 What is the sixth root of 863677 to the nearest integer? 10 What is 2565973 to the power of 1/3, to the nearest integer? 137 What is 67549 to the power of 1/6, to the nearest integer? 6 What is 230469 to the power of 1/8, to the nearest integer? 5 What is the eighth root of 11432867 to the nearest integer? 8 What is 287302 to the power of 1/10, to the nearest integer? 4 What is 12505702 to the power of 1/2, to the nearest integer? 3536 What is the fourth root of 226285 to the nearest integer? 22 What is the seventh root of 886571 to the nearest integer? 7 What is the ninth root of 2424054 to the nearest integer? 5 What is 1094447 to the power of 1/5, to the nearest integer? 16 What is 3943715 to the power of 1/3, to the nearest integer? 158 What is 3643328 to the power of 1/3, to the nearest integer? 154 What is 2100608 to the power of 1/2, to the nearest integer? 1449 What is 4822988 to the power of 1/8, to the nearest integer? 7 What is 4693403 to the power of 1/7, to the nearest integer? 9 What is 574421 to the power of 1/2, to the nearest integer? 758 What is the sixth root of 594962 to the nearest integer? 9 What is 107155 to the power of 1/6, to the nearest integer? 7 What is the cube root of 1608219 to the nearest integer? 117 What is the cube root of 233636 to the nearest integer? 62 What is the fourth root of 268284 to the nearest integer? 23 What is the square root of 6569830 to the nearest integer? 2563 What is 859793 to the power of 1/3, to the nearest integer? 95 What is 672374 to the power of 1/5, to the nearest integer? 15 What is 297119 to the power of 1/4, to the nearest integer? 23 What is 176372 to the power of 1/5, to the nearest integer? 11 What is the cube root of 13090269 to the nearest integer? 236 What is 12074964 to the power of 1/8, to the nearest integer? 8 What is the third root of 16887903 to the nearest integer? 257 What is the cube root of 171902 to the nearest integer? 56 What is 957886 to the power of 1/3, to the nearest integer? 99 What is the tenth root of 1260930 to the nearest integer? 4 What is 350567 to the power of 1/2, to the nearest integer? 592 What is the third root of 36638782 to the nearest integer? 332 What is the fourth root of 22682 to the nearest integer? 12 What is the seventh root of 2016406 to the nearest integer? 8 What is the fourth root of 407052 to the nearest integer? 25 What is the square root of 20313057 to the nearest integer? 4507 What is the third root of 1971650 to the nearest integer? 125 What is the ninth root of 564473 to the nearest integer? 4 What is the cube root of 4023329 to the nearest integer? 159 What is 30107024 to the power of 1/7, to the nearest integer? 12 What is the cube root of 353477 to the nearest integer? 71 What is the fifth root of 2454639 to the nearest integer? 19 What is 7876302 to the power of 1/7, to the nearest integer? 10 What is 1975574 to the power of 1/8, to the nearest integer? 6 What is 10384094 to the power of 1/2, to the nearest integer? 3222 What is 15160045 to the power of 1/3, to the nearest integer? 247 What is 519817 to the power of 1/3, to the nearest integer? 80 What is the cube root of 3426970 to the nearest integer? 151 What is the fifth root of 4072067 to the nearest integer? 21 What is the square root of 47535 to the nearest integer? 218 What is 334061 to the power of 1/2, to the nearest integer? 578 What is the eighth root of 1886309 to the nearest integer? 6 What is the square root of 2222523 to the nearest integer? 1491 What is the square root of 4950854 to the nearest integer? 2225 What is 1890798 to the power of 1/2, to the nearest integer? 1375 What is the third root of 6994810 to the nearest integer? 191 What is 5954854 to the power of 1/4, to the nearest integer? 49 What is the third root of 5654766 to the nearest integer? 178 What is 4151093 to the power of 1/8, to the nearest integer? 7 What is 577291 to the power of 1/2, to the nearest integer? 760 What is 1124092 to the power of 1/2, to the nearest integer? 1060 What is the ninth root of 151055 to the nearest integer? 4 What is 1062936 to the power of 1/9, to the nearest integer? 5 What is 22992 to the power of 1/2, to the nearest integer? 152 What is the fourth root of 244961 to the nearest integer? 22 What is 95490 to the power of 1/8, to the nearest integer? 4 What is the square root of 2406112 to the nearest integer? 1551 What is 9324527 to the power of 1/3, to the nearest integer? 210 What is the seventh root of 28054092 to the nearest integer? 12 What is 210784 to the power of 1/2, to the nearest integer? 459 What is the ninth root of 236323 to the nearest integer? 4 What is the ninth root of 2668765 to the nearest integer? 5 What is 650919 to the power of 1/3, to the nearest integer? 87 What is the square root of 1350747 to the nearest integer? 1162 What is 206067 to the power of 1/2, to the nearest integer? 454 What is 4023301 to the power of 1/6, to the nearest integer? 13 What is 21039547 to the power of 1/8, to the nearest integer? 8 What is the fifth root of 99312 to the nearest integer? 10 What is 232493 to the power of 1/5, to the nearest integer? 12 What is 15694850 to the power of 1/3, to the nearest integer? 250 What is 162871 to the power of 1/8, to the nearest integer? 4 What is the tenth root of 75439 to the nearest integer? 3 What is 4606209 to the power of 1/10, to the nearest integer? 5 What is 1375759 to the power of 1/2, to the nearest integer? 1173 What is the eighth root of 7458806 to the nearest integer? 7 What is the fifth root of 10692618 to the nearest integer? 25 What is the ninth root of 275871 to the nearest integer? 4 What is 856570 to the power of 1/2, to the nearest integer? 926 What is the eighth root of 886235 to the nearest integer? 6 What is the square root of 5319 to the nearest integer? 73 What is 344046 to the power of 1/3, to the nearest integer? 70 What is 144327 to the power of 1/2, to the nearest integer? 380 What is the fourth root of 715368 to the nearest integer? 29 What is 881622 to the power of 1/8, to the nearest integer? 6 What is the cube root of 14723080 to the nearest integer? 245 What is 273810 to the power of 1/7, to the nearest integer? 6 What is the square root of 25100 to the nearest integer? 158 What is the seventh root of 144042 to the nearest integer? 5 What is the cube root of 9618673 to the nearest integer? 213 What is 226204 to the power of 1/5, to the nearest integer? 12 What is 3459635 to the power of 1/2, to the nearest integer? 1860 What is 1391594 to the power of 1/4, to the nearest integer? 34 What is 13312116 to the power of 1/10, to the nearest integer? 5 What is the third root of 524825 to the nearest integer? 81 What is the square root of 5307 to the nearest integer? 73 What is 164852 to the power of 1/8, to the nearest integer? 4 What is 864537 to the power of 1/6, to the nearest integer? 10 What is the third root of 127581 to the nearest integer? 50 What is the seventh root of 16643433 to the nearest integer? 11 What is the ninth root of 6033744 to the nearest integer? 6 What is 18172621 to the power of 1/4, to the nearest integer? 65 What is the cube root of 827965 to the nearest integer? 94 What is the third root of 428537 to the nearest integer? 75 What is 470622 to the power of 1/10, to the nearest integer? 4 What is 447239 to the power of 1/8, to the nearest integer? 5 What is the third root of 548197 to the nearest integer? 82 What is 3185914 to the power of 1/2, to the nearest integer? 1785 What is 19434310 to the power of 1/5, to the nearest integer? 29 What is 1395388 to the power of 1/3, to the nearest integer? 112 What is 79711 to the power of 1/3, to the nearest integer? 43 What is 452854 to the power of 1/5, to the nearest integer? 14 What is the square root of 16006731 to the nearest integer? 4001 What is 499607 to the power of 1/2, to the nearest integer? 707 What is 2454194 to the power of 1/2, to th
{ "pile_set_name": "DM Mathematics" }
equence nlsn. 1/1430 What is prob of sequence uz when two letters picked without replacement from {z: 6, i: 4, u: 3, t: 1, x: 1}? 3/35 What is prob of sequence ttct when four letters picked without replacement from {c: 15, t: 4}? 5/1292 Calculate prob of sequence yyii when four letters picked without replacement from {y: 6, v: 1, c: 3, i: 4, x: 2}. 3/364 Two letters picked without replacement from iixxixiiiixiixiiii. What is prob of sequence ix? 65/306 Calculate prob of sequence pbv when three letters picked without replacement from ppvvavpibvvbap. 5/273 What is prob of sequence gzg when three letters picked without replacement from {z: 2, g: 2}? 1/6 Four letters picked without replacement from hshsssssshs. What is prob of sequence hhss? 7/165 Calculate prob of sequence mt when two letters picked without replacement from lgtemtms. 1/14 Two letters picked without replacement from cchdpccpjcddpr. What is prob of sequence pc? 15/182 Two letters picked without replacement from qlvfmlmvfqqnvqnn. Give prob of sequence vm. 1/40 Three letters picked without replacement from {y: 5, x: 1, d: 3, z: 3}. Give prob of sequence yxy. 1/66 Calculate prob of sequence bb when two letters picked without replacement from fbbff. 1/10 Calculate prob of sequence ljw when three letters picked without replacement from {w: 2, t: 3, j: 2, k: 1, s: 3, l: 1}. 1/330 What is prob of sequence iwb when three letters picked without replacement from {d: 2, j: 1, w: 9, b: 1, i: 7}? 7/760 What is prob of sequence pcrz when four letters picked without replacement from {t: 1, c: 2, r: 1, o: 1, p: 1, z: 1}? 1/420 Two letters picked without replacement from {t: 2, z: 6, h: 2, c: 1, p: 4}. What is prob of sequence ct? 1/105 Calculate prob of sequence pp when two letters picked without replacement from {p: 13, f: 5}. 26/51 What is prob of sequence llk when three letters picked without replacement from lkkkkklkkllkklll? 9/80 Calculate prob of sequence tkl when three letters picked without replacement from {t: 1, z: 5, o: 1, k: 1, l: 9}. 3/1360 What is prob of sequence wej when three letters picked without replacement from jeezweeeeewej? 8/429 Two letters picked without replacement from zaxrnzazxz. Give prob of sequence xr. 1/45 Four letters picked without replacement from ccwdcawalcacaacc. What is prob of sequence lwcc? 1/520 Two letters picked without replacement from ddddddddddddndd. What is prob of sequence nd? 1/15 Calculate prob of sequence kee when three letters picked without replacement from {e: 4, k: 6, v: 1, b: 7, a: 2}. 1/95 Calculate prob of sequence sbts when four letters picked without replacement from ttpptssppbptbpgxgg. 1/4590 Calculate prob of sequence ikr when three letters picked without replacement from wwwipkppwrikww. 1/546 What is prob of sequence bbb when three letters picked without replacement from {b: 4, o: 2}? 1/5 Three letters picked without replacement from {t: 4, z: 2, i: 2, g: 3}. What is prob of sequence zig? 2/165 Calculate prob of sequence vvv when three letters picked without replacement from nnnnvvnvnn. 1/120 Calculate prob of sequence vp when two letters picked without replacement from ppzphpvzzpzz. 5/132 Three letters picked without replacement from tyotrty. Give prob of sequence ryo. 1/105 What is prob of sequence djod when four letters picked without replacement from {j: 4, o: 1, y: 2, d: 4, s: 5}? 1/910 Four letters picked without replacement from ksksfkskkkfkskkkkf. Give prob of sequence kfsf. 11/3060 Four letters picked without replacement from lyfuf. Give prob of sequence fuyf. 1/60 Calculate prob of sequence xxx when three letters picked without replacement from xxdx. 1/4 Two letters picked without replacement from ussuuusdudsqdsq. Give prob of sequence us. 5/42 What is prob of sequence qjmq when four letters picked without replacement from {f: 2, q: 4, j: 2, m: 3, o: 1, e: 6}? 1/1020 Four letters picked without replacement from iijvnvjjjvhvjvhjjj. What is prob of sequence hjnh? 1/4590 What is prob of sequence diid when four letters picked without replacement from ddddiidddddddddi? 3/140 What is prob of sequence wi when two letters picked without replacement from {e: 1, i: 5, b: 9, w: 1}? 1/48 Calculate prob of sequence ajrv when four letters picked without replacement from rjajvrr. 1/140 What is prob of sequence oooe when four letters picked without replacement from {b: 3, e: 3, k: 1, o: 6}? 3/143 Two letters picked without replacement from eyse. Give prob of sequence sy. 1/12 Four letters picked without replacement from eybeyyynnneenyynyn. Give prob of sequence enen. 1/204 Three letters picked without replacement from wggwwjjwgjgggwj. Give prob of sequence wjw. 8/273 Two letters picked without replacement from zxvvxvq. What is prob of sequence zx? 1/21 What is prob of sequence qh when two letters picked without replacement from {l: 1, h: 7, q: 1, x: 2, y: 5, w: 4}? 7/380 Four letters picked without replacement from {p: 3, o: 1, t: 3, r: 4, z: 3, f: 2}. What is prob of sequence prfp? 1/910 Three letters picked without replacement from bssssnntnscwb. What is prob of sequence scs? 5/429 Two letters picked without replacement from xfsfsimxfiimiis. What is prob of sequence ss? 1/35 Calculate prob of sequence ovo when three letters picked without replacement from vvvvvzvovvovovvv. 3/140 What is prob of sequence aqt when three letters picked without replacement from ooqtoaoaoaoqoggqjg? 1/544 Calculate prob of sequence hncm when four letters picked without replacement from mnrmhhncnonmnrr. 1/1092 Calculate prob of sequence jccc when four letters picked without replacement from {j: 2, c: 18}. 8/95 Four letters picked without replacement from {q: 3, l: 2, p: 3}. Give prob of sequence plpq. 3/140 Calculate prob of sequence ao when two letters picked without replacement from {y: 2, s: 4, o: 4, m: 8, c: 1, a: 1}. 1/95 Three letters picked without replacement from {b: 1, e: 5, a: 4}. What is prob of sequence eab? 1/36 Two letters picked without replacement from bhdd. Give prob of sequence hd. 1/6 Calculate prob of sequence ctnu when four letters picked without replacement from {t: 6, j: 3, u: 1, n: 5, c: 2}. 1/952 Two letters picked without replacement from rodtrkoy. What is prob of sequence rr? 1/28 What is prob of sequence wx when two letters picked without replacement from {x: 2, w: 18}? 9/95 Calculate prob of sequence ym when two letters picked without replacement from cccedmuyddudcyc. 1/105 Four letters picked without replacement from {q: 10, e: 2}. What is prob of sequence qqee? 1/66 What is prob of sequence kk when two letters picked without replacement from {k: 5, c: 2}? 10/21 Calculate prob of sequence llaa when four letters picked without replacement from {l: 6, a: 2, m: 4}. 1/198 Calculate prob of sequence aa when two letters picked without replacement from atutpapuutptt. 1/78 Two letters picked without replacement from bvbbqqqqbbbv. Give prob of sequence qv. 2/33 Two letters picked without replacement from yyyppyyyyyyy. What is prob of sequence yp? 5/33 What is prob of sequence au when two letters picked without replacement from uuauauauuaaa? 3/11 Four letters picked without replacement from jjjjj. What is prob of sequence jjjj? 1 Two letters picked without replacement from bbbzzb. What is prob of sequence bz? 4/15 Two letters picked without replacement from sddssdtddss. What is prob of sequence dd? 2/11 What is prob of sequence pp when two letters picked without replacement from pddddp? 1/15 What is prob of sequence kz when two letters picked without replacement from kzzzzzkkkzkk? 3/11 Two letters picked without replacement from {h: 1, v: 2, c: 7, d: 2, q: 7}. What is prob of sequence qc? 49/342 Three letters picked without replacement from vovvvvvrvvv. Give prob of sequence rvv. 4/55 Two letters picked without replacement from dyy. Give prob of sequence yd. 1/3 Three letters picked without replacement from jhhhjhhhhllhljxyyh. Give prob of sequence xlh. 3/544 Two letters picked without replacement from wbbcacbdwadacwcxcwda. Give prob of sequence cb. 3/76 What is prob of sequence dx when two letters picked without replacement from xxgiudd? 2/21 What is prob of sequence pcgg when four letters picked without replacement from {y: 1, k: 1, g:
{ "pile_set_name": "DM Mathematics" }
= 7*m - 4*r for m. 36 Solve -2*m + 515*j - 4 = 516*j, 6*m - 9*m - 31*m + j - 104 = 0 for m. -3 Solve -4*r = -5*j + 1211 - 1244, 16*j + 80 = 0 for r. 2 Solve 5*x = 2*s - 153, 2*s = -s + 4*s - 205*x + 195*x - 309 for s. -1 Solve -4*p + 28 = -9*p - 2*u, -9*p + 200 = -11*p - 48*u for p. -4 Solve 1905*g = 1908*g - 21, 3*g + 7 = 31*y - 35*y for y. -7 Solve -2*g - 2177*p + 15 = -2172*p, 8 = g + 2*p for g. 10 Solve 314 = -3*l + 10*v, 5*l - 565 = 2*v - 619 for l. 2 Solve -277 = 7*v - 319, -y + 3*v = 3*y + y + 23 for y. -1 Solve 0 = -3*m - 2*i + 4, -7*m + 350*i + 20 = 352*i for m. 4 Solve -4*s - 152 = 1529*d - 1525*d, 96 = 3*s - 2*d for s. 4 Solve c - 29 = -20150*k + 20147*k, 5*k = -c + 39 for c. 14 Solve 6 = -2*m + 3*b, 2*b + 9 - 7 = 7*b - 8 for m. 0 Solve 9 = 2*w + 2*v + 49, 5*v + 122 = -6*w for w. -22 Solve -6*q - 12 = -0*q, 9*d - 8*d + 25 = -11*q for d. -3 Solve 88*q - 43*q + 5*h = 49*q + 132, -5*h = -10*q - 360 for q. -38 Solve g + 36 = -5*o, 161551*o + g + 41 = 161545*o for o. -5 Solve a - 14*m = 0, 0*m + 4*m = 85*a - 167*a + 83*a + 7*m for a. 0 Solve -1210 = 18*r - q - 1086, 3*q = 5*r + 29 for r. -7 Solve 21*s - 16*s - 10 = 0, 3*f - s = -f - 2*f - 14 for f. -2 Solve -418*d - 25 = -423*d + 5*s, 0 = 12*d + 2*s - 4 for d. 1 Solve 0 = 209*z - 214*z, 0 = 4*d + z for d. 0 Solve -21008*n - 70 = 5*j - 42018*n + 21005*n, -n = j - 4 for j. -5 Solve -38*u - 36 = 5*i + 121, -10 = -3*i + 5*i + 2*u for i. -1 Solve -b - 4*b - 55*h + 50 - 195 = 0, -4*b - 2*h = -3*h - 19 for b. 4 Solve -3*r + 7*s - 278 = -343, -5*r + 2*r + 5*s + 49 = 0 for r. 3 Solve a + 6*a = 4*a + 4*u, 32*u - 153 = 3*a - 23*u for a. 4 Solve -w = 2*b + w - 10, 2033 - 2048 = -3*b - 5*w for b. 5 Solve -5*c - 19 = 2*k + 4, c - 1 = 11*k - 18 + 1 for c. -5 Solve 486584*l = 486584*l + 4*i - 16, 2*l = 2*i - i + 8 for l. 6 Solve -51*k + 2776 = -c + 5*c + 113*k, -k = -3*c - 26 for c. -3 Solve 2073281*q - 2073276*q - 6*t = 2*t - 3*t - 40, 3*q + 43 + 26 = 12*t for q. -3 Solve 15*z - 13*m = -37*z + 48*z - 638, 0 = -3*m + 108 + 42 for z. 3 Solve -125*u + 5473 = -130*u + 9*k - 296*k, 5*u = -k - 39 for u. -4 Solve 2261*q - 3*g = 2260*q + 18, 2*g = -4*q + 72 for q. 18 Solve -x + 3 = -2, -650*k + 116 + 140 = -310*k - 302*k - 2*x for k. 7 Solve v + 9 = 2*s, -10*v + 200 = 130*s - 92*s for s. 5 Solve -u = 9*m - 47 - 60, -2*u - 236 = -14*m - 66 for u. -1 Solve 1489*q - 1493*q + 6*p - 3*p - 2 + 28 + 22 = 0, 2*q + 5*p + 2 = 0 for q. 9 Solve 44 = 3*r - 2*x, -25*x + 6*x - 364 - 117 = 3*r for r. -2 Solve -24707*h = -24703*h - 16, 7*x + 7*h = 77 for x. 7 Solve u + 64843 = 5*f + 64857, -2*u - 14 = 4*f for u. -1 Solve 4*f - 100 = -12*w, -305*f + 302*f - 55 = -4*w for f. -5 Solve 19*r = 17*r + 2*z - 14, -3*r + 12 = 4*z - 2 for r. -2 Solve 5*i - 6*p + 59 = 0, -10 = i - 10689*p + 10688*p for i. -1 Solve -6*b + 2*b = 4*t - 120, 18636*b - 18631*b + t - 166 = 0 for b. 34 Solve -u = -4*c - 6, -81*u + 157*u + 18 = 73*u for c. -3 Solve -4*c + 4 - 24 = -8*r, 2*c + c + 5*r - 13 = 6*c for c. -1 Solve -2*z + 108*q - 330*q = -111*q - 114*q + 44, 2*z = 4*q - 48 for z. -16 Solve 3*c - 215536 + 215629 = u, -4*u + 2*c = -62 for u. 0 Solve -z - 4*v - 329 = -5*z - 2*z - v - 368, -75 = -5*v for z. 1 Solve 62797 = -3*r + 62830, -3*k + 4*r = 29 for k. 5 Solve 546 = -8*p - 10*i + 1050, 0 = 2*p + 4*i - 126 for p. 63 Solve -400*d = 400*d - 803*d - 3*j - 9 - 0, -2*j + 30 = -4*d for d. -6 Solve -4*t + x = -72, -5*t + 3*x - 715 + 924 = 0 for t. 1 Solve 25*b - 3*b + 2*l - 170 = 0, -8894*b + 8896*b + l = 40 for b. 5 Solve 1067 - 250 = -33*m - b - 139, 33 = -m + 4*b for m. -29 Solve -5*i + 143 = -2*t + 122, 4*i - 2*t - 10 = 3*t for i. 5 Solve -2*i + 1051*s - 529*s = 527*s - 20, -50 = -5*i - 13*s for i. 10 Solve -9392*q + 9373*q - 441 = 4*r, q + 5*r + 28 = 0 for q. -23 Solve a + 29*f = -50, -80*f - 159*f = -4*a - 235*f + 40 for a. 8 Solve v - 4*y = -6, 149 = -4*v + 6*y + 105 for v. -14 Solve n - l + 38 + 36 + 29 = 89, -3*l = 3*n - 42 for n. 0 Solve -6*u + 1954*c - 1952*c - 24 = 0, 3*u + 48 = 5*c for u. -1 Solve 28 = 4*l - 504*b + 503*b, 180 = -9*b for l. 2 Solve 2*h + 13325 = -2*u - h + 13315, -5*u - 15 = 5*h for u. 1 Solve 0 = -4*u - 5*r - 20, 4890*r + 137 = 5*u + 2434*r + 2442*r for u. 5 Solve -14770*h + 5*m = -14772*h + 59, 24 = 5*h + 3*m for h. -3 Solve 30 = -2*h + 4*f, 15 = -25147*f + 25142*f + 40 for h. -5 Solve 3*v + k - 23 + 56 = 26, v - 5*k = 19 for v. -1 Solve 0 = -5*f + 4*b + 46, -5889 = 5*b - 5869 for f. 6 Solve 0 = w - 2*c - 91, 0 = 64*w + 551*c - 546*c - 5824 for w. 91 Solve -301*x + 305*x - 16*k + 116 = 0, -5*k = 2*x + 110 for x. -45 Solve -2*f + 446*a = 415*a + 83, 3 = -a for f. -88 Solve 0 = -2*i - 5*m + 32, 2*m + 25 - 23 = -3*i + 6 for i. -4 Solve -10*l - 28 = -14*l - 3*z - z, -3*z = -18 + 3 for l. 2 Solve 3*s + 3*p = -75, -p + 2*p + 20 + 20 + 25 = 70 for s. -30 Solve -59*h - 2*a + 2714 = 0, 0 = 2*h + a + 4 - 96 for h. 46 Solve -22*c + 2*g + 46 = 28*c - 46*c, -3*c = -4*c - 19*g - 86 for c. 9 Solve -2*s - 5*v + 30 = 0, 4*s + 19 - 85 = -11*v for s. 0 Solve -4*d - 2*d + 6 = 0, 5*w = 5*w + 5*w - 4*d + 147 - 23 for w. -24 Solve m - 3*w = 230, 5*m = -4*w - 4*w + 11*w + 250 for m. 5 Solve 0 = 10*s + 4*m - 33 + 185, 2*s + 10*m + 82 = -3*s + 6*m for s. -14 Solve 0 = -3*n - 4*o - 11 - 16 + 29, 2*n - o = -3*o for n. -2 Solve -4*n + 4*h + 1 = 29, -29*n + 33*n + 4*h + 68 = 0 for n. -12 Solve 0 = 38*b + 3*f + 1178, 3*f + 22823 - 22730 = -3*b for b. -31 Solve -103*y - 5*h = -25, 28 + 21 = -2*y + 5*h - 35 + 59 for y. 0 Solve -2*g + 45 = -3*f, 46 + 99 = 4*g + 5*f for g. 30 Solve -p - 2*m = -5*m - 123, 0 = -294*p + 591*p - 301*p - m - 28 for p. 3 Solve -2*p + 1676 + 137 = 361*i - 4*p, 3*i - 2*i = -4*i - 2*p + 17 for i. 5 Solve -2*f - 1409*r = -1410*r - 33, -4*f + 141 = -5*r for f. 4 Solve 5*j = -h + 59, -637917*h + 3*j - 42 = -637911*h for h. -1 Solve s = -s + 3*w + w - 2, 0 = 170*s - 167*s + 42*w - 45 for s. 1 Solve 4*g - 1 - 15 = 0, 128*c = -20*c - 2*g + 164 + 140 for c. 2 Solve -5*i = -0*o + 3*o + 11, -15270*i = -15271*i - 6*o + 14 for i. -4 Solve 0 = 5*j + b - 77, 60 = 3*j - 3*b + 399 - 162 for j. 3 Solve 3*u - 4 = -2*b + 2, 3*u + 15*b - 5*b - 21*b + 10*b - 15 = 0 for u. 4 Solve -2*o + 290 = -4*n, 10*o + 93 + 52 - 23 = -n - 3 for n. -75 Solve -36 = -5*d - 27*m - 14*m, 2*d + 17 = -2*m - 24 + 41 for d. -1 Solve -5*u = 5*q + 195, -43*q + 26*q = -3*u - 15*q - 112 for u. -38 Solve w - 2*o = -10*w - 23, -6*o - 1334 = -4*w - 1548 for w. 5 Solve -18*r - 3*w + 57 = -6, -2*r - 9 = -3*w - 2*w for r. 3 Solve 8*m - 1 = 5*p, -8*p - 412*m - 28 = -416*m for p. -5 Solve -2*i + 3*w + 318174 = 318203, -2*i = -4*w + 36 for i. -4 Solve -5*p + j = -10*p + 10, -400*j - 191*j = 0 for p. 2 Solve i + 4*g = 2*i - 928 + 926, 55 = 2*g + 57 for i. -2 Solve -3*b = -8*b - 3*p - 13, 5*p - p = 2*b + p + 22 for b. -5 Solve h + 5*d = 21, -770*h - 3*d - 78 = -775*h - d for h. 16 Solve -28*d + 18*d + n = -21, -4*n = -n - 0*n + 12 - 9 for d. 2 Solve -2*j + 20 = -4*i, 243*j + 4*i + 24 = 247*j for j. 2 Solve -17 + 107 = -5*f + 2*h, 0 = 12*f - 4*h + 118 + 66 for f. -2 Solve -2*n - 3*n - 45 = 4*b, b + 15*b + 31 = 11*b + 6 for n. -5 Solve -15*c + 12*c - 99 = 0, 15*c - 309 + 126 = -5*j + 21*c for j. -3 Solve -3*v = -4*s - 26, -7*s + 1050 = -0*v + 2*v + 1081 for v. 2 Solve 1862*h - 1863*h - y = -26, 0 = h - 11*y + 286 for h. 0 Solve -2*v = l, 5*l + 0*v - 19 = -13*v - 34 for l. 10 Solve 0 = 12*z - r - 96, -13*z + r - 2*r = 3*r + 11 - 50 - 65 for z. 8 Solve 4*z - z = 3*y + 51, -2*z - 2*y + 0 + 5 + 9 = 0 for z. 12 Solve -3*b - 26 = -2*x + 38, -3*x - 55 + 47 = b - x for b. -18 Solve 3*r - 36 = -2*z - r, 3*z + 4677 - 4563 = 15*r for z. 2 Solve -9*l + w - 539 = 0, 0 = 239*l - 236*l - 3*w + 177 for l. -60 Solve -3*v + 35 - 6 = -q, 3*q - v = -37 + 66 - 28 for q. 4 Solve 0 = -k + 3*k - 2*s + 18, 0 = 31305*k - 31312*k + s - 21 for k. -2 Solve -k - 7*h + 137 = 0, -441*h + 446*h - 107 = 133*k - 136*k for k. 4 Solve 2 = 4*j + 2*d, -541*j - 24*d - 23 = -540*j for j. 1 Solve 84 = 4*d + 5*t, 40*d + 15*t - 241 = 39*d for d. 1 Solve -9*y + 61*l - 300 = -8*y, -4*y - l = 4*l - 45 for y. 5 Solve 7*y + 66*p - 9 = 4*y + 68*p, -3*p = -6*y + 21 for y. 5 Solve q = -4*q + t - 80 + 25, t - 8 + 24 = 11 for q. -12 Solve 118 = -p, -4*i + 0*p + 7*p = 2*i + 5*i - 14*i - 811 for i. 5 Solve -i + 1 - 35 = 4*x, 72*i + 112 = -448
{ "pile_set_name": "DM Mathematics" }
30*h + (3 + 3*h**4 - 3 + (4*h + 2*h**2 - 4*h)*(-h**2 + 0 + 0) + 0*h**4 - 4*h**4 + h**4)*(-24 - 2*h + 24). -73*h**5 Expand (-24*l + 53 - 53)*(-8*l**2 - 90 + 90) + 2*l**3 - 4*l**3 + 3*l**3. 193*l**3 Expand -16 + 16 + 4*b**5 + (-5*b**4 + 3*b**4 + 0*b**4)*(-2*b - b + 2*b) + 99*b**5 + 134*b**5 + 8*b**5. 247*b**5 Expand (3*p + p - 8*p)*(-89 - 41 + 30). 400*p Expand (5*d + 0*d - 3*d)*(-2*d + 3*d + 0*d) + 3*d**2 - 4*d**2 + 5*d**2 - d**2 + 0*d**2 + 2*d**2 + 3 - 2*d**2 - 3 + (3*d - 7*d + 3*d)*(d + 5 - 5). 4*d**2 Expand (3*r - 3*r - r**3)*(-r - 3*r + 3*r) + (0*r**4 - r**4 + 0*r**4)*(-23 - 15 + 8). 31*r**4 Expand (y**2 + 33*y - 30*y + y**2)*((-11 + 5 - 11)*(-3*y - 2*y + 3*y) - 3*y - 17 - y + 2*y). 64*y**3 + 62*y**2 - 51*y Expand (-5 + 3 + 3)*(0 - k + 0) - 1 - 5922*k + 1997*k - 2218*k. -6144*k - 1 Expand 5*v**2 + v**3 - 5*v**2 + (3*v + 2*v**2 - 3*v)*(3*v + 1 - 1) - 2 + 5*v**3 + 2*v**3 + 0*v**3. 14*v**3 - 2 Expand (6*f**3 + 0*f**3 - 21*f**3)*(-69*f**2 - 8 - 16 + 27). 1035*f**5 - 45*f**3 Expand -57*y**5 - y**5 - 21*y**5 - 3*y**5 + 7*y**5 - 2*y**5 + (-y + 0*y + 4*y)*(-y**4 + 0*y**3 + 0*y**3). -80*y**5 Expand ((-1 - 2 + 4)*(-11*h - 2*h - 8*h) + h - 4 + 4)*((1 + 3 - 2)*(7 - 3 - 2) + 1 + 2 - 4). -60*h Expand (2 - 2 + 1)*(l**2 - 2*l**2 + 3*l**2) - 5*l**2 + 2*l**2 - 14*l**2 + 2*l**2 - l**2 + 3*l**2 + (4*l - 4*l - l**2)*(-3 + 1 + 1). -10*l**2 Expand (1 - 1 - 2*c)*(2*c**3 + 6*c**3 + 0*c**3) - 202 + 63*c**4 + 202. 47*c**4 Expand (-7*b + b**2 + 7*b)*(-2*b**2 - 2*b**2 + 6*b**2) + 15 + 175*b**4 - 15. 177*b**4 Expand c + 5*c + 3*c**2 - 2*c + (20 - 41 + 22)*(-c**2 - c**2 - 5*c**2). -4*c**2 + 4*c Expand (10 - 10 - 8*s)*(-1 - 5 - 13)*(-1 + 1 + 11*s**2). 1672*s**3 Expand (h**2 + 0*h**2 + 3*h**2)*(-4*h**2 + 5*h**2 - 3*h**2) + (0*h**2 - 3*h**2 - 34*h**2)*(-3*h**2 + 5 - 5). 103*h**4 Expand 261*z**4 - 182*z**4 - 161*z**4 + (0*z**3 + z**3 - 5*z**3)*(3*z + 0 + 0) - 2*z**4 + z**4 + 3*z**4. -92*z**4 Expand (1 - 1423990*d**4 - 1 + 1423808*d**4)*(0*d + 2*d - 7*d). 910*d**5 Expand (272*y**5 + 32*y**5 - 56*y**5)*(1 - 1 - 1). -248*y**5 Expand (4 + 1 + 0)*(-5 + 23 + 3160*y - 38 + 20)*(0*y**3 - 2*y**3 + 0*y**3). -31600*y**4 Expand (-h - 3 + 3)*(h - h + 2*h**2)*(-2*h + 455 - 455) - 3*h**4 + 4*h**4 + 0*h**4 + (0*h**3 + h**3 - 3*h**3)*(17 + 6*h - 17). -7*h**4 Expand (50*d + 114*d + 168*d)*(-d**2 - 91 + 91) - d - 2*d**3 + d. -334*d**3 Expand (0*p + 3*p + 2*p)*(-68*p**2 + 264*p**2 - 64*p**2 - 55*p**2 - 58*p**2) + 0*p**2 + 0*p**2 + 3*p**3. 98*p**3 Expand (-5*v**2 - 10*v**2 - 11*v**2)*(-26*v + 29*v + 3*v) + (5 + 3 - 4)*(2*v**3 + 5*v**2 - 5*v**2). -148*v**3 Expand (5 - 41 + 5)*(1 - 3 + 3)*((-a - 3*a + a)*(-1 - 3 + 3) - 54*a + 26*a + 29*a). -124*a Expand (-4 + 2*m**2 + 4)*(-588*m - 361*m - 902*m) - m**2 + 2*m**3 + m**2. -3700*m**3 Expand (m - 3 + 3)*(-6*m + 3*m + 0*m) + (-1 + 1 + m)*(-5*m - 3*m + 0*m)*(-33 + 52 + 30). -395*m**2 Expand (-9*q + 13*q + 9*q)*(0*q**4 + 0*q**4 + 2*q**4) - 5*q**5 + 3*q**5 - 8*q**5. 16*q**5 Expand -2 - 2 + 5 - 11*t**4 + (-7343 + 7343 + 37*t**3)*(2 - 5 - 3*t + 2*t). -48*t**4 - 111*t**3 + 1 Expand (1 - 5 + 1)*(3 - 3 - 2*w)*(-4 + 4 - 1)*(2 + 1 + 0)*(0 - 2 + 0)*(38 + 28 - 28). 1368*w Expand -1 - 4*j**4 + 1 + (0 - 2 + 1)*(j**4 - j**4 + 2*j**4) - 12*j**4 - 13*j**3 + 13*j**3 + 32*j - 60*j**4 + 27*j + 437*j**4 - 59*j. 359*j**4 Expand (u**3 + 2*u**3 - 5*u**3 + (-2*u + 2*u - 4*u**2)*(-4 - u + 4) + u - u + u**3)*(78 - 330 + 114). -414*u**3 Expand (-98 + 49 + 48 - 65*a)*(-7*a - 9*a + 0*a). 1040*a**2 + 16*a Expand (-4 + 1 + 2)*(783 - 2028 - 4*l + 718 + 691). 4*l - 164 Expand 3*c**3 - 3*c**3 + 2*c**5 + (-2*c**3 + 11*c**3 - 2*c**3)*(-2 + 2 + 3*c**2) + 2*c**5 - 2*c**5 + 2*c**5 + 34*c**5 + 29*c**5 + 23*c**5. 111*c**5 Expand (-2*w**2 + 0*w + 0*w)*(10*w**3 + 23*w**3 - 12*w - 17*w**3 - 8*w). -32*w**5 + 40*w**3 Expand ((1 - 1 - 5*g)*(13*g + 56*g - 13*g) + 0*g**2 + 0*g**2 + 4*g**2)*(3*g - 2*g - 3*g). 552*g**3 Expand (766 + 21*v**2 - 766)*(3 - 3 + v + (-6*v - 3*v - 15*v)*(-1 + 2 + 0)). -483*v**3 Expand (-514 + 914 - 471)*(2*b**3 - 11*b**3 + 10*b**3 + 23*b). -71*b**3 - 1633*b Expand -7*m**3 + 49*m - 49*m - 2*m**4 + (-2*m**4 + 4*m**3 - 4*m**3)*(14 + 48 - 16). -94*m**4 - 7*m**3 Expand (0 - 2 - 1 + (0 + 2 + 0)*(-5 + 5 - 2) - 230 + 257 + 143)*(0*f**2 - f**4 + 0*f**2). -163*f**4 Expand (3 - 2 + 0)*(-7 - 2 + 1)*(h**2 - 12*h + 27*h - 9*h). -8*h**2 - 48*h Expand (y + 2*y**2 - y)*(-2 + 2 + y**2) + (348*y**3 - 700*y**3 + 3*y**2 - 2 + 366*y**3)*(-12*y - 50 + 50). -166*y**4 - 36*y**3 + 24*y Expand (3 - 1 - 1)*(4 - 2*y - 4) + 2*y - 5*y + y + 0*y + y - 3*y + 4 - y - 4 + (3 + y - 3)*(-2 + 3 - 3) + (1 - 2 + 4)*(-210*y + 102*y + 106*y). -15*y Expand (-2 + 0 + 1 + 2*q)*(4 - 1 - 1 + (0 + 1 - 3)*(-7 + 0 + 2) - 1 + 0 + 2 + 2 + 2 - 6 + (0 + 0 + 1)*(6 + 2 + 3)). 44*q - 22 Expand (13*c**2 + 137*c - 137*c)*(-1059*c + 3419*c + 1 - 1379*c). 12753*c**3 + 13*c**2 Expand 270 - 2*m**2 - 140 + 639*m**3 - 131 - m**2 + m**3 + m**2 + (-m**2 - 3 + 3)*(3 - 3 - 2*m). 642*m**3 - 2*m**2 - 1 Expand 2*k + 3*k - 4*k + (15 + 84 - 707)*(6*k - 2*k - 3*k) - 1 + 1 + 2*k + (-1 + 1 + 2*k)*(-4 + 0 + 3)*(1 + 1 - 4). -601*k Expand (2 + 2 - 2)*(w - 2*w - 2*w)*(1013*w**4 + 1040*w**4 - 1706*w**4). -2082*w**5 Expand 11*s**3 + 5*s - 5*s + (5 - 7 + s + 0)*(s**2 - 118 + 118) + (s**2 - 3*s**2 + 3*s**2)*(-s + 0 + 0). 11*s**3 - 2*s**2 Expand -12*j**5 - 16*j**5 + 6*j**5 + (-3 + 2*j**3 + 3)*(0 - j**2 + 0) - 3*j**5 + 3*j**5 + 3*j**5 - 3*j**5 - 3*j**5 + 2*j**5. -25*j**5 Expand -5*r**4 - 3*r**4 + r**4 - 20504*r**2 + 170*r**4 + 20504*r**2 + (-3*r**2 + 7*r**2 - 2*r**2)*(2*r**2 + 4 - 4). 167*r**4 Expand (23*b**3 + 9*b**3 + 19*b**3)*(-12 + 4 - 5*b + 9*b). 204*b**4 - 408*b**3 Expand (-39 + 21 + 13)*(-3 + 2*y**2 + 6 - 2) + (-3 + 3 + 8*y)*(5*y - 7*y + 4*y + 4). 6*y**2 + 32*y - 5 Expand -4*g + 5*g - 4*g + (-3 + 2 + 0)*(2*g + 0 + 0) + 0*g - 4*g + 5*g + (7*g - 19*g + 0*g)*(2 - 3 - 15) + 4*g - g - 2*g - 5*g + 4*g - 2*g. 186*g Expand (-4*u + u - u)*(5410 - 887 - 106 - 1157 + 8268 + 2230). -55032*u Expand (-6 + 2 + 0)*(45 + 7 + 11)*(-2*b - 2*b + 5*b)*(0 + 2 - 1). -252*b Expand (-100 - 72 + 147)*(0*a - a - 6*a)*(a - 6*a + 3*a)*(-5 + 3 - 12). 4900*a**2 Expand (27*w**2 - 9*w**2 - 2*w**2)*(-171 - 224 - 119). -8224*w**2 Expand (2*l**2 + 9*l - 9*l)*(-l**3 - 3*l**3 + 17*l**3) - 1 + 2*l**5 - 1 + l**4 - 8*l**5. 20*l**5 + l**4 - 2 Expand 2*w**3 + 2*w**4 - 1 + 1 + (-6*w**2 - 339 + 339)*(w**2 + 6*w**2 - 5*w**2) + 3*w**4 - 3*w**4 - w**4. -11*w**4 + 2*w**3 Expand (-12 - 6 + 1)*(7*m + 11 - 6*m - 6*m + (-2 + 2 - 2*m)*(4 - 5 + 3)). 153*m - 187 Expand (6 - 3 + 0)*(-3 + 3 - j)*(985792*j**4 - 1 - 4 - 985790*j**4). -6*j**5 + 15*j Expand (2*x - x - 2*x)*(7234*x**2 + 4185*x**2 + 1134*x**2). -12553*x**3 Expand (-23*b - 19*b - 7*b)*(-3 + 1 + 14)*(-1 + 3 - 4). 1176*b Expand (-2 + 1 - 1)*(4 + 1 - 6)*(64*r + 102 - 102). 128*r Expand (-30*q - 1121 + 1121)*(-3*q - 12*q - 4*q). 570*q**2 Expand -21*i**5 + 4*i**5 - 29*i**5 - 4*i**5 + 7*i**5 + 4*i**5 - 2*i**5 - i**5 + 4*i**5 - 3*i**2 - i**5 + 3*i**2 + (i**4 + 2*i**4 - 4*i**4)*(1 - 2*i - 1). -37*i**5 Expand (-1191*d - 110*d**3 + 1191*d)*((-d + 3*d - 4*d)*(2*d + 3*d - 6*d) + d**2 - 3*d**2 + 3*d**2). -330*d**5 Expand (-3287 + 3287 - 3815*n)*(-n + 1 - 1). 3815*n**2 Expand -1 + 45*n - 45*n - 4*n**5 + (-2*n**5 + n**5 + 2*n**5)*(3 - 3 - 1) + n**5 + 12*n**5 - 7*n**5. n**5 - 1 Expand (-1935*h + 3234*h - 4843*h - 3389*h)*(0*h + h + 0*h). -6933*h**2 Expand (-102*c + 195*c + 250*c)*(-1691 + 1691 + 76*c**3). 26068*c**4 Expand (-2 + 3 - 4 - 2 - 2 + 7 + (0 + 2 + 0)*(-2 + 1 - 1))*(-119*u + 119*u - 124*u**5). 496*u**5 Expand (0*a**2 - 4*a**2 + 2*a**2)*(-1 + 3 + 3 + (4 - 2 - 1)*(-6 + 4 + 3) + 3 - 4 + 2). -14*a**2 Expand (-2 + 2 + n)*(2 + 0 + 1 + (-407 - 462 + 1210)*(1 - 2 - 1)). -679*n Expand (6578 + 172*n + 94*n - 6578)*(7*n - 8*n + 18*n)*(1 + 1 - 3). -4522*n**2 Expand (-3*x + 6*x + 3*x)*(2*x + 3*x - 2*x)*(-60*x**2 + 385 - 385). -1080*x**4 Expand (89*p - 10 - 7 + p**2 + 16)*(-2 + 3 - 2). -p**2 - 89*p + 1 Expand (-d - 2*d + 4*d + (-3 + 0 + 2)*(-2*d + 0*d + 0*d) + d + 2*d - 5*d)*(0*d + 0*d - d)*(179 - 602 - 144). 567*d**2 Expand -1 - 8 + 129*p + 20 + (-2*p - 3*p + 6*p)*(0 + 2 - 4). 127*p + 11 Expand (3 + 2 - 2*v - 3)*(15709 - 2049 - 3756 + 8015 + 16752). -69342*v + 69342 Expand (69 - 34 - 33 + 98*z)*(-2*z - 2*z + 0*z) + (3 - 3 - z)*(z + 2*z - z) + z**2 - 2*z**2 + 0*z**2. -
{ "pile_set_name": "DM Mathematics" }
(e) 0.3 (f) 2/9 e What is the fifth smallest value in -3/7, -3168/29, -5, 2, -1, 0? 0 Which is the smallest value? (a) 62 (b) -2 (c) 3 (d) -67 (e) 0 (f) 0.4 d What is the second smallest value in 50, 7, 5/7, 661? 7 Which is the smallest value? (a) -0.3 (b) -1 (c) -133121 (d) -2.1 (e) -5 c Which is the third biggest value? (a) -1 (b) -3 (c) 2149 (d) 20/3 a What is the second smallest value in -1535, -4/7, -1977, -2/7? -1535 Which is the fifth biggest value? (a) 1/6 (b) -0.3 (c) 1/60 (d) -2/7 (e) 0.9 (f) 1/41 (g) 20 c Which is the biggest value? (a) 4 (b) -1.093 (c) -99.6 (d) 0 a What is the fourth biggest value in -3, 108, 0.3, -0.5, -443? -3 What is the fourth biggest value in 1/7, -2703.3, -4, -1, -197/4? -197/4 What is the smallest value in 976/5, -0.3, 1928? -0.3 Which is the fifth smallest value? (a) -33 (b) 0.03 (c) 3 (d) -3/4 (e) -1.3 (f) 3/11 (g) -1/5 b Which is the third smallest value? (a) 6232 (b) 3 (c) -0.45 a Which is the fourth biggest value? (a) 1655 (b) -0.13 (c) 4 (d) 2/13 b Which is the second smallest value? (a) -0.1 (b) 2/5 (c) -0.3 (d) 0.05 (e) -1.56 (f) -12.7 (g) -3/5 e Which is the smallest value? (a) 1.969 (b) 0.321 (c) -7/2 c What is the second smallest value in -4050, -1072, 2/7, 0, 1? -1072 Which is the third smallest value? (a) -3 (b) -1.1 (c) 0.00807 (d) 0.6 c What is the third biggest value in -927, -573, -4? -927 Which is the third biggest value? (a) -1733 (b) 0.05 (c) 1 (d) -0.15 (e) 3 b What is the third smallest value in -7569233, -2, 19? 19 What is the second biggest value in 20/73, -0.02, -0.1, -0.16? -0.02 What is the biggest value in -2/25, -0.2, -51, -2, 18793, 5? 18793 What is the sixth smallest value in -3/5, -0.2, 3, -2026, 5, -268? 5 Which is the fourth biggest value? (a) 0.01 (b) -2 (c) 1/9 (d) -10270 (e) 3 (f) 0.5 a What is the biggest value in -1/9, -0.113, -2, -43/3, 5? 5 Which is the second smallest value? (a) 0.2 (b) 1 (c) 107575147 b What is the third smallest value in 10, -5, 0.14, 4, -0.6, 5/74, 0.1? 5/74 What is the fourth smallest value in -455, 568, 5/4, 0.4? 568 Which is the third biggest value? (a) 1/2 (b) -5 (c) 46 (d) -7684 (e) 1 a Which is the fifth smallest value? (a) -2/7 (b) -4 (c) 5.5 (d) 12813 (e) 1/16 (f) 3 (g) 0.3 f Which is the seventh smallest value? (a) 564 (b) 5/12 (c) -4/13 (d) -4 (e) 0.4 (f) -0.4 (g) 1 a What is the biggest value in -12668, 1, -6, -0.1, -0.06, -2? 1 Which is the third biggest value? (a) -5 (b) 44 (c) -2/9 (d) 165 (e) -251 (f) -3/8 c Which is the fifth smallest value? (a) 1/4 (b) -4 (c) -1/8 (d) -1/977 (e) 42/11 e Which is the third biggest value? (a) 110 (b) -0.2 (c) 20.82 b What is the second biggest value in -90, 2, -3, -15, 0.3, 209/3? 2 Which is the second smallest value? (a) 20 (b) 2/11 (c) 142/5 a Which is the biggest value? (a) 3 (b) -412237 (c) -5 a Which is the smallest value? (a) 2/25 (b) 2/3 (c) -4 (d) -2 (e) -6185 (f) -3/5 (g) -0.5 e What is the third biggest value in 5314121, -0.4, 0.2? -0.4 What is the fourth biggest value in 157, 15, -2/9, 5, 33, 0.3? 5 What is the fourth biggest value in -2, -3/83, -0.3, -624, 0, 1/4? -0.3 What is the biggest value in 2477041, 11, 2/3? 2477041 What is the smallest value in 198, -8, -931/6? -931/6 What is the sixth biggest value in -2, 1/8, 0.06, -506915, -0.2, 0.2? -506915 What is the second smallest value in 237, -1, -0.15, -0.75, -4, 2? -1 What is the third smallest value in -0.4, -0.5, 3, -4/193, 2/79? -4/193 What is the fifth biggest value in 3, 10/581, -2, -4, -165, -0.1? -4 Which is the third biggest value? (a) 2.6 (b) 1/3 (c) -0.3 (d) -10 (e) 2/11 (f) 4469 b Which is the third smallest value? (a) 53.1 (b) -0.6 (c) 47 a What is the sixth smallest value in -1, -5, 1.6, 9, 1/6, 13.254? 13.254 What is the fourth smallest value in 15.1, -20.79, 2/15, 0.2, 0.11? 0.2 Which is the second biggest value? (a) 5 (b) -7/1283 (c) -617 b What is the sixth biggest value in -11, 5, -0.05, -8, 1/4, -93, 122? -11 What is the third smallest value in -32407, -0.04, 3/131? 3/131 What is the fourth biggest value in -1/106, -5, -2/9, 610/203? -5 What is the biggest value in -1/6, 81, -1.28, -5? 81 What is the fourth biggest value in 1.7, 38, 520.4, 5, -35/4? 1.7 Which is the biggest value? (a) 4 (b) 2/11 (c) 11997 (d) -3 c What is the third smallest value in -0.3, -173237, -463? -0.3 What is the second smallest value in 0, -0.1, 2/7, 8/3, -20, -0.09? -0.1 What is the smallest value in -2/9, -26.792, 22, 1/2, -2/11, 1, 2? -26.792 What is the second smallest value in 0.1, 0, 4, -200988, 0.3, 3? 0 What is the third smallest value in 3, -1.1, 17, 293? 17 What is the second biggest value in -225061, 0.1, -0.021, -0.1? -0.021 Which is the smallest value? (a) 110 (b) -2 (c) -140655 (d) 3 c Which is the smallest value? (a) -1 (b) -28 (c) 573 (d) 2/5 (e) -5 (f) 2/11 (g) -3/2 b What is the smallest value in -1/256, -35, -3/178, 2/9? -35 Which is the third biggest value? (a) 1/27 (b) 5 (c) -5 (d) 613 (e) 0.04 (f) 6/101 f Which is the third biggest value? (a) 9.981 (b) -0.5 (c) -12.5 (d) 0.4 (e) 1/5 e What is the fourth biggest value in -4/5503, -8, 43, -2? -8 Which is the second smallest value? (a) 2/215 (b) -3 (c) -1608 (d) -1/4 (e) 0.3 (f) 0 b What is the third biggest value in -118122, -0.5, -1/43? -118122 What is the third smallest value in 4, 2/3, 0, 2, -1/4, -45, 1243? 0 What is the third biggest value in -2/83, -4, 0.4, 1824? -2/83 What is the third smallest value in 0.56485, 6, 13, -2? 6 What is the sixth biggest value in -0.052, -3, -2/13, -16/7, 0.12, -53? -53 Which is the third smallest value? (a) 0.7 (b) 41.8 (c) -4/77 (d) -14/3 (e) 0 e Which is the seventh smallest value? (a) 0.2 (b) -2615 (c) 1 (d) -9/2 (e) -0.03 (f) 0.5 (g) 5 g Which is the fourth biggest value? (a) 3 (b) 4 (c) -2/3 (d) -5 (e) 10262/9 (f) -2/19 f Which is the fourth biggest value? (a) 1/4 (b) 294 (c) 0 (d) -0.03 (e) -1/563 (f) 5 c What is the fourth smallest value in 1/339, -1, -21.2, 0.4? 0.4 Which is the smallest value? (a) 1/18 (b) 0.00416 (c) 5 b Which is the smallest value? (a) -2 (b) 10 (c) 2/19 (d) -0.2 (e) -3/5 (f) 27/55 a Which is the fourth smallest value? (a) -27 (b) -4 (c) 8.7 (d) -0.09 (e) 0.1 e Which is the second smallest value? (a) -5 (b) 0 (c) 2/7 (d) -1182 (e) -1.79 a What is the fourth smallest value in 27.12, -0.5, 2, 1, 0.2, -78, 7? 1 What is the third smallest value in 3/5, 0.5, -31, -2.2, -1, -1/2? -1 Which is the fifth biggest value? (a) 0.4 (b) -246 (c) -3.8 (d) 2/23 (e) -5 b Which is the biggest value? (a) -35 (b) 3 (c) 1 (d) 4 (e) 0.1254 d What is the third biggest value in -1, -3059, -3, 700? -3 Which is the fourth smallest value? (a) -2/7 (b) -2/129 (c) -1282 (d) 0.01 d Which is the third biggest value? (a) 3/5 (b) -632 (c) -1/4 (d) -4.128 d Which is the fourth biggest value? (a) 0.1 (b) 1/2 (c) 4 (d) -2/7 (e) 0 (f) 1/9 (g) 40 f What is the fourth smallest value in 7/36, -0.9, 2, -20, -2/13? 7/36 Which is the third smallest value? (a) 3 (b) 1/3 (c) -19 (d) -772 (e) 4 b Which is the second biggest value? (a) -1/6 (b) -38.71 (c) -472 (d) 2 a What is the biggest value in -0.5, -2, 289, -1, 1/44, -364, -1/3? 289 Which is the smallest value? (a) 13 (b) -432/11 (c) 0.5 (d) -1 (e) -0.32 b Which is the third smallest value? (a) 2/15 (b) -1 (c) -2 (d) -4 (e) 45/167 (f) -0.05 b What is the biggest value in 104533/4, -0.9, -0.14? 104533/4 What is the fourth biggest value in 134, 0.2, -1, 3/2, -1/3, -0.1153? -0.1153 Which is the second smallest value? (a) -1 (b) 1/4 (c) 1.06 (d) 51 (e) -2 (f) -0.06 (g) -165 e What is the third smallest value in 27182, -0.1, 1/7, -2/3, 0.2? 1/7 Which is the fourth smallest value? (a) -16 (b) 1 (c) -5 (d) -4 (e) -689 d What is the second biggest value in 5, 4, -642, 1/3? 4 Which is the third smallest value? (a) -0.07 (b) 3/5 (c) 0.073 (d) -0.1 (e) 8 (f) -0.3 a What is the fourth biggest value in -3, 17380/123, 0.1, -3/7? -3 What is the smallest value in 63.3103, 3/5, -6? -6 Which is the biggest value? (a) -24 (b) 0 (c) 335 (d) 9 c Wha
{ "pile_set_name": "DM Mathematics" }
d to the nearest integer? 5 Let r = -2648.3 - -2971. Let h = 306.51 - r. Round h to zero decimal places. -16 Let n = -40.28546 - -3.26326. Let i = n - -37. Round i to two dps. -0.02 Let d = 300 - 194. Suppose m - d = -111. Let t be 4/(-40)*-2 + (-499999)/m. Round t to the nearest one million. 0 Let r(g) = g**3 - 26*g**2 + 22*g + 72. Let v be r(25). Let y be 68/204 - v/(18/4936). Round y to the nearest 100. 800 Let x(s) be the second derivative of -1113*s**3/2 + 225*s**2/2 - 341*s. Let v be x(-25). Round v to the nearest 1000. 84000 Let h = 0.06858 + 2.73042. Let v = h + -6.52. Let c = -3.7 - v. Round c to 2 dps. 0.02 Suppose -7*g + 8 + 55 = 0. Suppose 10*d - 704 = g*d - 5*m, 2841 = 4*d - 5*m. Round d to the nearest ten. 710 Let i = 37.74 - 2.94. Let x = i + -34.80000404. Round x to 7 dps. -0.000004 Let n = -0.0374 - 294.9626. Let p = n + 233.4. Round p to zero decimal places. -62 Suppose 5*u - u = 2*k - 18806, -4*k = 4*u - 37600. Let b be (k/14)/(2/(-172152)). Let c be b/(-85) - (-2)/(-5). Round c to the nearest one hundred thousand. 700000 Let x = 1333241 + -520641. What is x rounded to the nearest one hundred thousand? 800000 Suppose -261*g + 1304820 = -243*g. Round g to the nearest 10000. 70000 Suppose -3*k + 0*k = -180. Let v = k - 52. Let t(q) = -q**3 + 2*q**2 + q - 4. Let s be t(v). Round s to the nearest 100. -400 Let a = 8223.771 + -8262.7. Round a to the nearest 10. -40 Let n = -0.286 + 0.415. Let v = 809.12991 + -809. Let l = n - v. What is l rounded to 4 dps? -0.0009 Suppose -4*g + 11 = -h, -4*h + 2*g - 5 + 17 = 0. Let f be (-13 - -33)*(0 - 37*h). Round f to the nearest 1000. -4000 Let s = -24723156352 + 24723156004.00000171. Let c = -348 - s. What is c rounded to 7 dps? -0.0000017 Let u = -48 + 47.982. Let p = -0.318 - u. Let d = -0.3073 - p. What is d rounded to 3 dps? -0.007 Let y = -21749 - -32080. Suppose v + 4*z + y = -11089, 0 = 2*v - 4*z + 42780. What is v rounded to the nearest 1000? -21000 Let o = 10866 - 10865.9990531. Round o to 4 decimal places. 0.0009 Let a = 0.869 - 0.099. Let t = a - 76.77. Let c = t - -76.0000007. What is c rounded to 5 dps? 0 Let u = -9678.8023 - -9684.8. Let n = -6.166 - -0.166. Let g = u + n. Round g to 3 decimal places. -0.002 Let x = 64 - 55. Suppose -x*f = 332609 - 3666479. Suppose 172770 = 8*j - f. Round j to the nearest ten thousand. 70000 Let a = 29660.9839768 + -29661. What is a rounded to three decimal places? -0.016 Let f = 228819889.3 + -228573162.29944. Let d = 246766 - f. Let k = d - 39. Round k to four decimal places. -0.0006 Let i = -171605187.3000349 + 171605158. Let w = i - -29.3. What is w rounded to five decimal places? -0.00003 Let z(t) = 12*t - 22 - 212633*t**2 - 354803*t**2 - 13 - 520565*t**2. Let s be z(5). Round s to the nearest one million. -27000000 Let q = 130 - 189. Let b = -6853432 - -6853491.00114. Let h = q + b. What is h rounded to 4 dps? 0.0011 Let l(r) = 6989*r**2 - 1 + 7239*r**2 - r + 6. Let b be l(5). What is b rounded to the nearest one hundred thousand? 400000 Let a(k) be the first derivative of 2499993*k**2/2 - 63*k + 204. Let i be a(-9). Round i to the nearest one million. -23000000 Suppose -45*l - 544150000 = 53*l - 93*l. Round l to the nearest one million. -109000000 Let y = 1156629 - 1156628.419861. Let n = -3239.42 - -3240. Let z = y - n. Round z to five dps. 0.00014 Let y(x) = -44*x - 92. Let a be y(32). Let g be (-5696)/24*a/8. What is g rounded to the nearest 1000? 45000 Let r = -3.905 - -3.90519514. What is r rounded to 5 decimal places? 0.0002 Let i(s) = -101*s - 125. Suppose x - 3*w + 27 = 0, -6*w + 1 = x - 2*w. Let c be i(x). Round c to the nearest one hundred. 1400 Let l = -7155976.03968 + 10096781.0421. Let h = -2940880 + l. Let u = h - -75. Round u to 4 decimal places. 0.0024 Let q = -0.38557 + 0.4036. What is q rounded to two dps? 0.02 Let i = 30847 - 30846.99823184. What is i rounded to four dps? 0.0018 Let r = -17013 - -17030.0144. Let f = 713 + -696. Let t = f - r. What is t rounded to three dps? -0.014 Let a = -1.4593 - -646.1593. Round a to the nearest ten. 640 Let t = -0.1135045 - -1.8535377. Let g = -15.76 + 17.5. Let r = t - g. What is r rounded to 6 decimal places? 0.000033 Let o be -7 + 66/9 + (-2)/(-3). Let y be 24431386/(-126) + ((-8)/(-9) - o). Round y to the nearest 10000. -190000 Let t = -22 - -16. Let f be ((-1040100)/(-40))/((-1)/t). Suppose -2*r = -2*w - 53979 - f, 105006 = r + 2*w. Round r to the nearest 10000. 110000 Let l = 1768 - 2981. Let j = 1212.99291 + l. Round j to 3 dps. -0.007 Let q = -4.7 - -4.666. Let f = 23.034 + q. Let g = -22.99852 + f. Round g to 4 decimal places. 0.0015 Suppose 0 = -3*o + 2*o - 178. Let y = o - -509. Round y to the nearest 100. 300 Let i = 24376.43855 + -24377. Let g = 0.56 + i. What is g rounded to three decimal places? -0.001 Suppose g - 4467 = -2*g. Let r = g + -996. Round r to the nearest 10. 490 Let x = 140359.487 - 140303. Let c = x + -56.1. Round c to two dps. 0.39 Let y = -660.1 - -817.21. Let g = 2.46 - -155.54. Let f = g - y. Round f to one decimal place. 0.9 Let s = -36951 - -37045.57. What is s rounded to 0 dps? 95 Let u = 59.10978 + -0.02978. Round u to the nearest 10. 60 Let v = -11061.9 - -10303. What is v rounded to the nearest one hundred? -800 Let x = 130 + -111. Suppose 2*r + 20115 = -24*g + x*g, -3*r + 3*g = 30141. Round r to the nearest one hundred. -10100 Suppose 0 = -29*b + 33799 + 31625. Round b to the nearest ten. 2260 Let x = 0.5267989 + 6019.7474011. Let v = x + -6019. Let m = v - 1.25. What is m rounded to three dps? 0.024 Let p(x) = -15*x - 585. Let u be p(-41). Let g = -1 - -1. Suppose -33*j + u*j + 28800 = g. Round j to the nearest one thousand. 10000 Let x(j) = 392*j - 2253. Let f be x(0). What is f rounded to the nearest 1000? -2000 Let s(z) = -148890*z**2 - 2*z + 4. Suppose 4*j - 8 = -0*j. Let t be j/(-2) + 2/(-1). Let r be s(t). Round r to the nearest one hundred thousand. -1300000 Let k = 16718 + -16718.016878. What is k rounded to four decimal places? -0.0169 Let a = 1.0475 - 0.1604. What is a rounded to 2 decimal places? 0.89 Let h = -0.0526 - 756.9474. Let a = 756.9999469 + h. Round a to 6 dps. -0.000053 Let m be -1 - (-2 + (4 - 3)). Let n be 94389236*((-28)/(-8) + 3) + m. Let x be 2/9 + n/(-153). What is x rounded to the nearest 1000000? -4000000 Let t = -4077 - -4023.79. Let r = -1.21 - t. Let g = r + -51.18. What is g rounded to 1 decimal place? 0.8 Let u = -141 + 101. Let o = 54 + u. Let h = -14.0000085 + o. What is h rounded to 6 decimal places? -0.000009 Let t(i) = 34822*i + 0 - 148819*i - 15. Let u be 4/26 - (-126)/26. Let z be t(u). Round z to the nearest one hundred thousand. -600000 Let g = 268591.2215 + -268471.32147236. Let y = -119.9 + g. What is y rounded to six dps? 0.000028 Let v(h) = 1983*h**3 - 1885*h**3 + 5*h**2 - h**2 + 2 + 6*h. Let r be v(6). Round r to the nearest one thousand. 21000 Let x = 264.59 + -23.79. Let c = -239.747 + x. Round c to 2 decimal places. 1.05 Let c = -195.28618 + 21779.39051. Let p = c - 21584. Let v = 0.105 - p. What is v rounded to 4 dps? 0.0007 Let a(p) = p**3 + 7*p**2 + 5*p - 13. Let u be a(-6). Let q(f) = 17*f**2 + 18*f + 13. Let h be q(u). Round h to the nearest one hundred. 700 Let o = 382 - 373.4. Let c = 8.6021 - o. What is c rounded to two dps? 0 Suppose x + 173*g - 90872 = 166*g, 90848 = x + 3*g. What is x rounded to the nearest ten thousand? 90000 Let w = 140 + -80. Suppose 7*p - w = -3*p. Suppose 2*g + 232 = -p*g. Round g to the nearest 10. -30 Let g = -12642 - -27602. What is g rounded to the nearest 1000? 15000 Let p(g) = 79*g + 39. Let k be p(9). Suppose 18*u + k = 16*u. What is u rounded to the nearest 10? -380 Let g = -2426.76891923 + 2426.57. Let p = 95.80121517 - g. Let s = 96 - p. Round s to 5 dps. -0.00013 Let n = -2.123999596 + 2.124. What is n rounded to 7 decimal places? 0.0000004 Let q = -5431.6871 + 5440.3. Let s = q - 9.003. Let n = -0.373 - s. What is n rounded to 3 decimal places? 0.017 Suppose 4*p - 10 = -2*h, -2*p = 2*h - 15 + 5. Suppose p*f - 4*v - 10016 = -f, -3*f = v - 30061. What is f rounded to the nearest 1000? 10000 Suppose 1759*b + 518708500 = 1904*b. What is b rounded to the nearest one hundred thousand? 3600000 Let f = -54.435 + -7.705. What is f rounded to zero de
{ "pile_set_name": "DM Mathematics" }
*d - j + 24 = 9, -61*d - 27 = -64*d + 3*j for d. 8 Solve 3711*u - 3714*u - 517 = 28*p, 5*p + 2*u - 4*u + 105 = 0 for p. -19 Solve 5*h - 500 = 3*z - 522, 2*z + h = -7 for z. -1 Solve 201*k - 399*k + 12 = -200*k + 2*u, -4*k + 3*u = 15 + 13 for k. -10 Solve 5*z = -2159225*c + 2159228*c - 132, 0 = 5*c - 2*z - 201 for c. 39 Solve -4897*n + 4901*n - 9 = i, 10*n + i + 1 = 5*n + 1 for n. 1 Solve -57*a + 0 = -57*a - j - 1, 87*a = -8*j + 601 for a. 7 Solve c + 614 = 17*k, 10*k + 3*c = -3*k + 131 + 331 for k. 36 Solve -81*t + 36*t = -44*t + 4*g, 2*t + 11*g = 0 for t. 0 Solve 14*j - 23*j - 44 = -12*j + 38*g, -6*j + 2*j = -j + 5*g - 1 for j. 2 Solve 4*v + 8 = 0, -969*p = -971*p - 3*v + 6 for p. 6 Solve -10*m - 339 = -11*j + 814, 4*j - 8*j - 545 = 5*m + j for m. -112 Solve 17*g - 18*g = f, 4*g = 4*f + 8*g + 10*g for f. 0 Solve -b - b + 6*u - 40 = 0, -b - 293 = 3*b - u - 268 for b. -5 Solve -4*g - 111 = -f, 19*g + 362 + 179 = -5*f + 43 for g. -27 Solve 0 = 18*b - 7*m + 10*m + 132, 2*b = -23436*m + 23432*m - 22 for b. -7 Solve t - 6*t - 53 = -4*n, 118*n + 6*n - 162 + 638 = -8*t for t. -13 Solve -c = 4*g + 39, 21 = -g - 836*c + 832*c for g. -9 Solve 2*z - 12 - 12 - 12 = 4*g, 4*g + 36 = -68*z for z. 0 Solve -11*x - 72 = -193*z + 183*z, -5*z + 3*x + 9 = -22 for z. 5 Solve s - z - 101 + 31 = 2*z, -3*z = s + 74 for s. -2 Solve -3*n + 582 = 4*l + 567, -33 = 7*n - 2*l for n. -3 Solve 4*i + 27 = -i - n, -5*i - 426*n = -433*n + 51 for i. -6 Solve 0 = -2*x + 12*p + 362, 4*p + 584 = -5*x + 435 for x. -5 Solve 3*c - 20361 + 20343 = -2*n, -3*n = -5*c - 8 for n. 6 Solve -g + 95 = -4*f + 40 + 58, -3*g + 5*f = -5 for g. 5 Solve 0 = 2*b - n - n + 6, -3*b + 35 = 12*n + 2*n + 10 for b. -1 Solve -19*a - 48 = 2010*f - 2012*f, -4*a + 120 = 5*f for f. 24 Solve 4*c + 2*c - 5 = 5*x + 2*c, 0 = -4*x - 9*c + 30 + 27 for x. 3 Solve 3*m + 2*m - 2*l = -124, 5*m = 2712*l - 2719*l - 151 for m. -26 Solve 0 = -3*a + 420*h - 421*h - 158, -4*a - 144*h - 924 = 0 for a. -51 Solve -2*p - 144 = -23*h, -3*h - 2283 + 2316 = -5*p for h. 6 Solve -249 = -5*l - i - 276, -5*l = 141*i + 1007 for l. -4 Solve n - 1691*o - 3 = -1693*o, -68*o - 129 = n for n. 7 Solve -1301*f - 10 = -5*d - 1297*f, d - 5 + 31 = 6*f + 2 for d. 6 Solve 2685*a = 2686*a + u + 6, 15*a + u = -4*u - 10 for a. 2 Solve -8*h + 105 = -4*o + 253, 2*h - 15 + 15 = 2*o - 40 for h. -17 Solve 439*q - 429*q + 197 = f, 4*q = 4*f + 5*q + 200 - 168 for f. -3 Solve j + h + 201 = -0*j - 2*j + 216, 0 = -3*j - 93*h - 261 for j. 6 Solve 4*c - 44 = 2*z, -10187*c + 10173*c = -9*z - 202 for c. -1 Solve 0 = 4*n - 4, 5*i - 2*n + 0*n + 44 = -34 - 44 for i. -24 Solve 4*t + 291 = -4*g + 319, -4*g = -4*t - 4 for g. 4 Solve -4*l - 202 = 952502*g - 952512*g, 3*g - 42 = -5*l for l. -3 Solve 0 = 4*w + 186*u - 181*u - 9 + 23, 4*w - 3*u - 2 = 0 for w. -1 Solve 5*r - 5 = -m, m + 334818 - 334839 = 3*r for r. -2 Solve -7*c + 14 = -2*c - 3*f, c = -4*f + 8252 - 8286 for c. -2 Solve 12*y - 280 = -4*v, -2032*v + 2040*v - 4*y - 560 = 0 for v. 70 Solve k - 6*k = -4*j + 55, 31*j + 1640 - 1600 = 34*j - 5*k for j. 15 Solve -5*a + 3*m + 2*m + 245 = 0, -368*a + 363*a - 105 = 2*m for a. -1 Solve 15*n = 2*c + 22*n - 8*n - 27, 0 = 20*c + 3*n + 2*n - 225 for c. 12 Solve -3*a - 5*c + 225 - 294 = 0, 0 = 3*a - 11*c + 9*c + 48 for a. -18 Solve 2*n - 9*n + 6*n + 21 = -5*c, 0 = -2*c + 2*n - 2 for c. -5 Solve -11*t + 13*v - 21 = -7*t + 10, -12*t + 12 = -4*v for t. 2 Solve 3*o = -z + 2*z - z + 3*z + 3, 4*o + 26*z - 154 = 0 for o. 6 Solve l - 2*o = -8*l + 28, -5*l + 9*o + 133 = 78 for l. 2 Solve 31*m - i + 120 - 206 = 0, m = i - 4 for m. 3 Solve -1412130*u = -4*n - 1412131*u - 9 - 4, 7*n + 4*u + 25 = 0 for n. -3 Solve 0 = -5*p - 89*b - 173, 13843*b + 6 = 13840*b for p. 1 Solve u - 54230 + 54499 = -33*p, 5*p + 2*u + 51 = 1 for p. -8 Solve -2*v - 8*x - x - 49 = -12*x, 59 = -4*v + 14*x - 11*x for v. -5 Solve 0 = 2*m + 4*t - 62, -4*m = -5*t + 3387 - 3576 for m. 41 Solve 20*b + 75 - 285 = -2*z, -2*b + 4*z = -6*b + 60 for b. 10 Solve 0 = -0*f + f - 72 + 75, 2*f + 18 = -z - 21 for z. -33 Solve -1408*v + 2*j - 25 = -1411*v, 68 = 8*v + 4*j for v. 9 Solve 7*m - 150*q = -147*q - 41, 41 + 99 = -20*m + 4*q for m. -8 Solve -34 = -2*n - 49*l + 44*l, 0 = 5*n - 4*l - 2*l + 26 for n. 2 Solve -2*x - 9*b + 7*b - 9 = 5, -3*x + b - 9 = -0*b for x. -4 Solve -6*u = -s + 27, -143*u + 5 = 251*u - 399*u - 5*s for u. -4 Solve -49*m - 454 = n - 298, 0*m + m = 3*m - n - 3 for m. -3 Solve 0 = j + n - 7486 + 7489, -17 = 9*j - n for j. -2 Solve 55*w - 36*w + 4*a - 33 = 16*w, -7*a = -5*w - 68 for w. -1 Solve 42 = 4*h + 5*b - 16, 5*h + 94*b + 655 + 1055 = 266*b for h. 2 Solve -3*g - g - 71 = -4*j - 7*g, -5*j + 2*g + 60 = 0 for j. 14 Solve -66*b - 668 = 2*t, 2*b + 2*t - 85 = -113 for b. -10 Solve -6*g + 36 = 4*x, -9*g + 5*g + 3*x = 10 for g. 2 Solve -i - 19 = 3*n, -8*n - 6*i - 44 = -n - 3*n for n. -5 Solve 8*z + 3*s - 38 = 0, -1209*z + 2411*z - s + 4*s - 3 = 1205*z - 9 for z. 4 Solve f + 3 = -g, f + 43*g + 5237 = 4982 for f. 3 Solve 2*y + x - 34885 = -34896, 4*y + 3*x = -37 for y. 2 Solve -a = -10*o - 19, -a + 2268 = -4*o + 2261 for a. -1 Solve 5*d = -4*g - 40, -8 = 729*d - 730*d - 4*g for d. -12 Solve 0 = 8*w + 9*w - b - 289, -22*w + 27*w - 5*b - 85 = 0 for w. 17 Solve 4*y + 2*s + 15 + 18 - 9 = 0, -22*y - 3*s = -12*y + 44 for y. -2 Solve a - 4*d + 172 = 152, 23 + 17 = 2*a + 11*d + 4 for a. -4 Solve -4751834*a + 12*q + 205 = -4751837*a - 131, 2*a = 3*q + 95 for a. 4 Solve -5*l - 41 = -15985*x + 15981*x, 3*x = 3*l + 27 for l. -5 Solve 125 - 325 = 21*w + 5*j, 3*j + 120 = -3*w for w. 0 Solve 3*o + 23 = 5*c - o + 109, 0 = -5*c - 5*o - 45 - 5 for c. -14 Solve 2*h = 31*w - 992, w + 7621 = -3*h + 7653 for h. 0 Solve -l - 4*c = -6*l - 25, 3*l - 20978*c + 20977*c + 1 = 0 for l. 3 Solve 2519 = l - 3*z + 2309, 0 = -5*l + 27*z + 1902 for l. -3 Solve 0 = 4*v + 4*q + 32, 8*v + 2*q = -133 + 63 for v. -9 Solve 135080*l + 0*r = 135081*l - 5*r - 4, 0 = -6*r - 12 for l. -6 Solve -2*u - 47885 = 4*o - 47881, -u - 6*o = -2 for u. -4 Solve 9*v + 2*l = 145, 4*v - 12879 = -5*l - 12794 for v. 15 Solve -23*a = 2*x - 56, 105 = 2*x + 4*a + 87 for x. 5 Solve 0 = 3*q - m - 0*m + 8, 2*q - 25*m + 46*m - 103 = 0 for q. -1 Solve -g - 3*u + 137 = 41 + 48, 19*g - 126*u - 11 = -130*u for g. -3 Solve -8*h + 51*h = -53*h + 4*h + z + 96, z = 5*h - 9 for h. 1 Solve -3*k = -4*o + 229, -7*o + 832 + 545 = -13*k - k - 5*k for o. 4 Solve -8*z - 203 = q, -4*z = 2*q + 936655 - 936561 for q. 5 Solve 4*n = 5*v - 107, -3395*v - 5*n - 127 = -3399*v for v. 3 Solve 4*n = y - 31, -5*y - n + 9*n + 95 = 3*n for y. 15 Solve -535*a + 531*a = 3*x + 45, 2*a + 39 = -3*x for a. -3 Solve -105 = -1670*o + 1693*o + 4*a, -5*a = 45 for o. -3 Solve 0 = -55*s + 2*c + 169004 - 168568, -2*s + 4*c + 8 = 0 for s. 8 Solve -4*n - 3802 = 3*p - 3896, 0 = 27*n - 4*p - 586 for n. 22 Solve -3*k + 41*u = 45*u - 17, 9 = 4*k + 3*u - 2 for k. -1 Solve 25*y + 2*r = 17, -36*y - r - 7 + 2 = -37*y for y. 1 Solve -114*i + 3*x = -109*i - 110, 27*x + 154 = i + 22*x for i. 4 Solve 0 = 3*u - 4*t - 4, 0 = -2*u - 5*t - 153103 + 153121 for u. 4 Solve -4*a - 5*n - 11 = 2 + 10, 0 = -25*a + 23*a + 3*n + 5 for a. -2 Solve -3*r = 5*m - 64, -2972006 + 2972014 = -2*m for r. 28 Solve 11*h - 15*h = -15*x + 138, 31*h - 109 + 280 + 26 = -2*x - 163 for h. -12 Solve -65 = -5*f - 5*a, 5*f = -14684*a + 14683*a + 21 for f. 2 Solve -j + 7 - 4 = b, 5*j - 14*b - 97 = -82 for j. 3 Solve -5*j + 86 = -3*s + 112, s + 2*j - 4 + 10 = 0 for s. 2 Solve 4*j + 8 = -118*d + 116*d, -16*d - 163 = -j for j. 3 Solve 0 = 2*v - 2*r - 384 + 426, 5*v + 4*r = 102 for v. 2 Solve -13*k + 12*k + 300*a = 297*a - 7, -3*k + a + 45 = 0 for k. 16 Solve -26 = -11*g - 12*g + 37*g - 10*g + 2*t, -4*g + 2*t = -66 for g. 5 Solve 0*x + x + 129 = -72*y - 19*y + 97*y, y - 203 = 2*x for x. -99 Solve 0 = 2*s - 2*z + 6, -4859*z + 24 = -4*s - 9711*z + 4853*z for s. -7 Solve -5*n = -11*l + 73, 0 = 100036*l - 100040*l + n + 20 for l. 3 Solve -8*n - 9*k - 50 = 2*n - 4*k, 6*k = 4*k + 8 for n. -7 Solve -2*k - 7 = -43*b - 1430, -5*k - 5*b - 122 = -b for k. 2 Solve 0 = -2*c + 4*d - 18, -5*c - 566*d = -570*d + 45 for c. -9 Solve -5*v = -5*u + 10, -169*u - 5*v + 21 = -164*u + 1 for u. 3 Solve -5*v + 6*v + 43334 = -3*x + 43373, 5*v + 9 = 24 for x. 12 Solve -5*n - 30*d + 4828 = 5233, 68 = 4*n
{ "pile_set_name": "DM Mathematics" }
a factor of 2235? False Is 308 a factor of 117658? False Is 46 a factor of 83? False Does 9 divide 22392? True Is 48760 a multiple of 44? False Is 4886 a multiple of 30? False Does 24 divide 61969? False Is 105 a factor of 8400? True Is 57 a multiple of 3? True Does 14 divide 446? False Is 153476 a multiple of 244? True Is 10 a factor of 5290? True Is 37884 a multiple of 123? True Is 12 a factor of 1368? True Does 52 divide 48204? True Is 9 a factor of 5911? False Is 11954 a multiple of 60? False Is 32472 a multiple of 36? True Is 61 a factor of 1708? True Does 26 divide 22659? False Is 4 a factor of 3767? False Is 92 a multiple of 13? False Is 3 a factor of 5828? False Is 47 a factor of 63175? False Is 500 a multiple of 100? True Is 87 a multiple of 29? True Is 27 a factor of 108? True Is 89 a multiple of 8? False Is 15 a factor of 960? True Is 34015 a multiple of 13? False Is 423 a multiple of 4? False Is 3141 a multiple of 47? False Is 11413 a multiple of 234? False Is 1090 a multiple of 5? True Does 8 divide 523? False Is 51402 a multiple of 113? False Does 68 divide 5124? False Does 7 divide 367? False Does 7 divide 1312? False Is 1760 a multiple of 55? True Is 19 a factor of 1080? False Is 184 a factor of 24315? False Is 2 a factor of 6417? False Does 13 divide 8156? False Is 870 a multiple of 6? True Is 14444 a multiple of 7? False Is 16 a factor of 2368? True Is 372 a multiple of 53? False Does 126 divide 802? False Does 9 divide 630? True Does 12 divide 326? False Does 42 divide 4872? True Is 280 a multiple of 7? True Is 11361 a multiple of 15? False Is 29 a factor of 957? True Is 7 a factor of 1309? True Is 2 a factor of 579? False Does 15 divide 8865? True Is 10 a factor of 1666? False Is 44835 a multiple of 61? True Is 88085 a multiple of 220? False Is 31 a factor of 775? True Is 6 a factor of 1416? True Is 1239 a multiple of 21? True Does 36 divide 247? False Is 7389 a multiple of 9? True Does 47 divide 13010? False Is 9 a factor of 8253? True Is 1261 a multiple of 25? False Is 454 a multiple of 108? False Is 34 a factor of 667? False Is 204 a multiple of 6? True Does 27 divide 880? False Does 4 divide 1637? False Does 237 divide 15484? False Is 15387 a multiple of 69? True Is 116 a factor of 116? True Is 20541 a multiple of 41? True Does 104 divide 2080? True Does 28 divide 420? True Does 33 divide 528? True Is 21615 a multiple of 165? True Is 14 a factor of 683? False Is 403 a multiple of 4? False Does 2 divide 218? True Is 11 a factor of 1067? True Is 13 a factor of 520? True Does 16 divide 1092? False Is 11 a factor of 10098? True Does 9 divide 4536? True Does 3 divide 227? False Is 112 a factor of 1008? True Does 3 divide 246? True Does 13 divide 221? True Is 56 a factor of 512? False Does 42 divide 584? False Is 8485 a multiple of 204? False Is 12705 a multiple of 3? True Is 13 a factor of 1066? True Is 180 a multiple of 45? True Does 29 divide 3799? True Is 8 a factor of 1272? True Is 81 a factor of 3449? False Is 1163 a multiple of 16? False Does 4 divide 184? True Is 132 a multiple of 66? True Is 3344 a multiple of 44? True Does 9 divide 2016? True Is 344 a multiple of 51? False Is 57 a factor of 4332? True Does 11 divide 525? False Is 44 a factor of 428? False Is 107 a factor of 62256? False Is 53 a factor of 3021? True Is 6 a factor of 43? False Is 57180 a multiple of 20? True Does 9 divide 1027? False Does 39 divide 3008? False Does 64 divide 4686? False Is 194 a multiple of 4? False Is 6 a factor of 109? False Does 58 divide 696? True Is 6900 a multiple of 25? True Is 80588 a multiple of 17? False Is 8190 a multiple of 39? True Does 14 divide 112? True Is 22156 a multiple of 58? True Is 4073 a multiple of 34? False Does 44 divide 3036? True Does 129 divide 30697? False Is 27117 a multiple of 207? True Is 115 a factor of 2386? False Does 4 divide 2736? True Does 127 divide 190? False Is 49 a factor of 7791? True Does 18 divide 4567? False Is 465 a multiple of 21? False Is 29157 a multiple of 146? False Is 61 a factor of 1281? True Does 110 divide 11908? False Is 141 a factor of 280? False Is 1995 a multiple of 105? True Is 4 a factor of 584? True Is 675 a multiple of 16? False Is 3 a factor of 451? False Is 83 a multiple of 19? False Is 23 a factor of 46798? False Is 16 a factor of 893? False Does 13 divide 2483? True Is 17306 a multiple of 34? True Does 12 divide 5736? True Is 19367 a multiple of 182? False Is 28 a factor of 61040? True Does 42 divide 2544? False Is 141 a multiple of 11? False Is 17 a factor of 17? True Is 158 a factor of 12389? False Is 191580 a multiple of 15? True Does 121 divide 33880? True Is 11 a factor of 2431? True Is 26 a factor of 130? True Is 40057 a multiple of 98? False Does 125 divide 30953? False Is 6640 a multiple of 178? False Is 587 a multiple of 39? False Is 64 a factor of 1413? False Is 11 a factor of 1606? True Is 366 a multiple of 6? True Is 1090 a multiple of 5? True Is 1538 a multiple of 8? False Does 21 divide 325? False Is 1824 a multiple of 12? True Does 11 divide 55308? True Is 5589 a multiple of 27? True Is 3579 a multiple of 19? False Is 62 a factor of 431? False Does 8 divide 680? True Does 20 divide 3200? True Is 5055 a multiple of 114? False Is 4144 a multiple of 12? False Does 38 divide 29006? False Is 7574 a multiple of 9? False Is 4028 a multiple of 53? True Is 2 a factor of 5483? False Does 68 divide 27538? False Is 2 a factor of 864? True Is 5065 a multiple of 24? False Is 68 a factor of 1160? False Is 69748 a multiple of 188? True Is 3 a factor of 2160? True Is 11340 a multiple of 36? True Is 364 a multiple of 182? True Is 30 a factor of 28388? False Is 48619 a multiple of 255? False Is 16348 a multiple of 220? False Is 1048 a multiple of 8? True Is 9 a factor of 45? True Does 28 divide 476? True Is 44 a factor of 999? False Is 4 a factor of 380? True Is 351 a multiple of 27? True Is 17821 a multiple of 14? False Is 3224 a multiple of 31? True Does 12 divide 363? False Does 26 divide 160? False Does 2 divide 595? False Does 14 divide 6855? False Is 28314 a multiple of 198? True Does 20 divide 1140? True Is 8183 a multiple of 23? False Does 39 divide 47616? False Does 26 divide 3172? True Does 138 divide 120750? True Does 28 divide 31920? True Does 45 divide 2323? False Does 61 divide 3050? True Does 8 divide 928? True Is 15 a factor of 2644? False Is 3407 a multiple of 17? False Is 69258 a multiple of 12? False Is 16 a factor of 3360? True Is 297 a multiple of 9? True Is 4 a factor of 116? True Is 18 a factor of 21676? False Is 6141 a multiple of 69? True Does 3 divide 16? False Is 62 a factor of 3177? False Does 9 divide 1017? True Does 4 divide 2136? True Does 18 divide 45960? False Does 20 divide 20360? True Is 420 a multiple of 6? True Does 213 divide 11289? True Does 30 divide 8520? True Is 3156 a multiple of 6? True Is 69455 a multiple of 29? True Is 17 a factor of 10183? True Is 2117 a multiple of 29? True Is 26 a factor of 1950? True Does 7 divide 6573? True Is 11 a factor of 3548? False Is 626 a multiple of 23? False Is 843 a multiple of 23? False Does 36 divide 10836? True Is 6391 a multiple of 62? False Does 74 divide 832? False Is 9 a factor of 244? False Is 652 a multiple of 18? False Is 25 a factor of 33100? True Is 137 a multiple of 10? False Does 23 divide 5482? False Is 28 a factor of 5936? True Does 12 divide 696? True Is 190 a multiple of 10? True Does 16 divide 50780? False Is 837 a multiple of 10? False Is 12 a factor of 158? False Does 24 divide 7187? False Does 6 divide 408? True Does 21 divide 5964? True Does 42 divide 8531? False Is 154 a factor of 3052? False Is 22 a factor of 2684? True Is 65 a factor of 948? False Is 1597 even? False Is 62 a factor of 24552? True Is 64 a factor of 12543? False Is 128 a factor of 2841? False Is 2569 a multiple of 22? False Is 676 even? True Does 42 divide 592? False Does 8 divide 992? True Does 39 divide 17199? True Does 29 divide 16304? False Is 27483 a multiple of 13? False Is 368 a multiple of 16? True Does 107 divide 9147? False Does 3 divide 4255? False Is 10 a factor of 140? True Is 58 a factor of 10384? False Is 59670 a multiple of 170? True Is 674 a multiple of 7? False Is 67248 a multiple
{ "pile_set_name": "DM Mathematics" }
. Let v = -15/28 + o. Let l = 1.8 - 0.8. Which is the second smallest value? (a) -0.5 (b) v (c) l b Let q(h) = 12*h + 170. Let n be q(-15). Which is the fourth biggest value? (a) -1/7 (b) n (c) 1 (d) 2 b Let j = -1 + 0.5. Let w be 54/168 - (2/(-8))/1. Which is the second biggest value? (a) j (b) -4 (c) w (d) -2/3 a Suppose -4*x - 29 = -5*x. Let u = -24 + x. Suppose 5*v - 4 = 31. Which is the third smallest value? (a) v (b) -3/5 (c) u a Let q = 289 - 294. What is the biggest value in q, 0.5, 0.8? 0.8 Let b = -19.58 + 22.58. What is the biggest value in -4, -207, 5, b? 5 Let t be (-35)/(-70)*12/(-10). Let q = 2.6 - 3. What is the third smallest value in -2, t, q, 0.5? q Let j = 0.51 + -0.01. Let k be 4 - (6/(-8))/((-39)/221). What is the third biggest value in j, k, -1? -1 Let i = 38 + -44. Let v be ((-26)/i)/(11/33). Which is the third smallest value? (a) 1 (b) v (c) 2/9 b Suppose 4*g = -5*i - 21, -27*g + i = -24*g + 11. Which is the third smallest value? (a) 0.08 (b) g (c) -0.2 a Let t = -0.88 - 1.12. Let x = -22 - -131/6. What is the smallest value in t, x, 1/4? t Let r = 1.7 - -12.3. Let p(o) = -o**2 + 51*o + 48. Let z be p(52). Which is the biggest value? (a) r (b) z (c) 4 a Let s = -98.7496 - 0.0504. Let o = s + 99. Which is the second smallest value? (a) -1/4 (b) o (c) -6 a Let s = 243 - 383. Which is the smallest value? (a) 4 (b) 5 (c) s (d) -0.4 c Let s be (-8 + 0 - (-4071)/345) + -5. What is the second smallest value in -4.3, 3, -3/5, s? s Let x be (-7)/((-126)/16)*(-24)/(-32). What is the biggest value in -0.17, 0.2, 0.5, x? x Let w = 8.9785 - -0.0215. Which is the biggest value? (a) -3 (b) w (c) -6 b Suppose n - l = -2*l + 5, 2*n - 2*l = -10. Let x be ((-4)/(-5))/(-2)*15/24. Which is the third smallest value? (a) n (b) 2 (c) x b Let d = -47/3 - -16. Let t(v) = -v - 2. Let p be t(-4). Suppose -s - 3 = 0, 3*h - 6 = -5*s + p*s. Which is the biggest value? (a) d (b) h (c) 6 c Let d = -142/33 - -62/11. Let o be (-4)/(-22) - (-57)/(-132). What is the biggest value in -3, 0.2, d, o? d Let b = -0.2 + 0.1. Let t = -6.67 - -0.37. Let z = t - -3.3. What is the third smallest value in -5, z, b? b Let m = 21 - -7. Let u = 31 - m. Let l be 6*(-2)/(-6)*-2. Which is the second biggest value? (a) u (b) l (c) 1 c Let k be (-6)/14 - (-1148)/1764. What is the second biggest value in k, -17/3, -0.5? -0.5 Let g = -26 + 18. Let o = 0.86 - 10.86. Let k = g - o. What is the third smallest value in 3, k, 4? 4 Let a = 1.2 - 0.2. Let k = 697 - 692. What is the third biggest value in -0.3, k, a? -0.3 Let z = -11514.6 - -11515. Let s = -0.7 - 2.3. Which is the third biggest value? (a) s (b) 2/9 (c) 6/7 (d) z b Let r = -2/1545 - -517/1545. Which is the second smallest value? (a) 2 (b) -1/9 (c) r c Let x = -0.2 - 0.3. Let b = 16.8 - 17. Let u be 1290/(-3311) + (-8)/(-14). What is the second biggest value in u, x, b? b Let x = 6 - 5.97. Suppose 2*l + 0*l = -5*i + 25, 0 = 2*i - 10. Suppose -4*r - 5 - 3 = l. Which is the third biggest value? (a) -2/15 (b) r (c) x b Let q be 190/(-120) + 8/(-12). What is the second biggest value in 0.5, 0.2, q? 0.2 Let m = 0.32 + -0.2. Let o = m + -0.12. Which is the third smallest value? (a) -0.4 (b) 1/5 (c) o b Suppose 0 = 1284*h - 1268*h + 48. What is the third biggest value in -7, -0.5, -5, h? -5 Let p be 20/6 + (-2)/6. Let y(f) = -f**2 + 7*f - 3. Let a be y(7). Let s be 22*(-3)/(-36) + 24/(-72). What is the third biggest value in p, s, a? a Let z = -428 + 430. What is the smallest value in z, 6/43, 0.4? 6/43 Let g = 2377/12 + -2383/12. Let l be (-6)/(-15) - 4/(-10). Which is the second biggest value? (a) g (b) l (c) -3 a Let c = 289 - 294. What is the third smallest value in c, -1/2, -2? -1/2 Suppose w + 5 = 0, 2*s = 7*w - 5*w + 10. What is the biggest value in -4/3, s, -246/11? s Let y be (13/516)/(10/147). Let l = -509551/215 - -2370. Let g = l - y. Which is the smallest value? (a) g (b) 5 (c) 3 a Let f = -1909/6 - -318. Let l = -3/53 - -221/159. What is the smallest value in f, 2, l? f Let q be ((-2)/(-3)*1)/((-938)/(-21)). What is the smallest value in 0.4, -0.2, q? -0.2 Let t = 3/125 - 289/1625. What is the second smallest value in 4/11, 8, 1, t? 4/11 Let w be 6/4*(96/(-27) + 4). Let k = 4/5 + -1. What is the third smallest value in k, w, -1? w Let x = -0.02 - -1.02. Let j be (-6)/15 + (-24)/(-10). What is the smallest value in j, 3, x? x Let z = -55.8 - -63. Let r = 7.2 - z. What is the second biggest value in -3, -0.6, r? -0.6 Suppose -2*r + 10 = 4*c, r - c - 72 = -73. Suppose -v = -3 + 8. What is the smallest value in v, -1/7, r, -0.5? v Let o = 7179/7 - 69137/70. Let z = -75/2 + o. What is the second biggest value in -1, 1/5, z? 1/5 Let w = -6 + 4.85. Let g = -0.05 + w. Which is the fourth smallest value? (a) -1/2 (b) g (c) -1 (d) 3 d Let k = 0.6 - -6.4. Let o = -4 + k. Let d = -377/14 + 206/7. Which is the third biggest value? (a) o (b) 5 (c) d c Let i = 0.87 + -2.87. Which is the second biggest value? (a) -5 (b) i (c) 3 (d) -4 b Let y be (-51)/68 + -1 + 0 + 1. What is the biggest value in y, 3/2, 0.32, 0.1? 3/2 Let w be ((-1)/(-34))/(2 - (-91)/(-42)). Which is the third smallest value? (a) -1/8 (b) w (c) -0.5 a Let j = -0.36 + -0.04. Let f = -34 - -35.6. Let k = -1.7 + f. Which is the biggest value? (a) j (b) k (c) -1/5 b Suppose 3*y - 5 = 1. Suppose -2*i + 42 = -6*i + 2*a, 0 = i - y*a + 12. Let s be 4/1 + 10/i. What is the third smallest value in s, -3, -6? s Let z be 5/(-56) - (-60)/160. Which is the third biggest value? (a) z (b) 0.2 (c) -0.5 (d) 0.1 d Let v = -42.8 - -4.8. Let t = 40 + v. What is the biggest value in 5, 0, t? 5 Let o = 2377 + -2371.735. Let q = 0.035 + o. Let j = 5 - q. Which is the smallest value? (a) 5 (b) j (c) 0 b Let u = 35.3 + -35.7. What is the third smallest value in 2/3, u, 0.01? 2/3 Suppose 0 = 2*k + 3*s + 13 - 5, 5*k + s = -20. What is the third biggest value in -8, k, 2/11? -8 Let q = 2.3 - -7.7. Let y = -11.6 + q. Let j = -2 - y. Which is the second smallest value? (a) 0.5 (b) j (c) -0.3 c Let y = 114 + -215. Let x = y + 101. What is the third smallest value in 1, x, -3? 1 Let r = 28.62 - 28.72. Let x be 6/(-3)*1*-1. Suppose 16 = 4*w + 4*q - 16, -32 = -4*w + x*q. Which is the second smallest value? (a) 1 (b) r (c) w a Let j = 187 + -186.7. What is the second smallest value in 5.8, j, 2? 2 Suppose 8*w - 5 = -u + 9*w, 5*u + 5*w - 15 = 0. What is the second biggest value in u, -1/4, 5? u Let t be (-2)/(-13) - (-2 - -2). Let n be (-14)/16*12/6 - -2. Which is the second smallest value? (a) n (b) t (c) -0.3 b Let s = 64 + -82. Let x = s + 23. Let z(a) = a**3 + 6*a**2 - a - 2. Let c be z(-6). What is the smallest value in -1/4, c, x? -1/4 Suppose 0 = -3*y - 0*y. Let x = 53 + -58. What is the fourth biggest value in -3, y, x, 1/3? x Let v(i) = 2*i**2 - 5*i + 5. Let l be v(3). Let p be (-1)/l*2*48/42. Which is the biggest value? (a) 5 (b) p (c) 3 (d) -3 a Let a = -177 - -176.87. Let y(u) = u**2 + 5*u + 2. Let v be y(-4). What is the third smallest value in a, v, 0.5? 0.5 Let t = -28 + 29. Let r be 26/39 - (1 - t). Which is the biggest value? (a) r (b) 11 (c) -3 b Let i = 1 + -0.6. Let b = -7.7 - -1.9. Let o = b + 0.8. What is the second biggest value in 4, i, o? i Let h(v) = v - 10. Let y be h(8). Let s be (-9 - y - 0) + -3. Let x be s/(-18)*(-2)/(-5). Which is the biggest value? (a) 1/7 (b) 3 (c) x b Suppose 3 = 2*u - 3. Suppose u*y + 26 = -37. Let k = 20 + y. What is the biggest value in k, 0.2, -1/4? 0.2 Let w = 0.3 + -1.3. Let q = 17.61 + -22.61. What is the second smallest value in 0, w, q, -1/5? w Let h = 38.61 - 38.51. Let k = -0.2 + 3.2. What is the third smallest value in h, 1/6, k? k Let v = 104 - 97. Suppose 28 = v*w - 0*w. What is the biggest value in -4, w, 5? 5 Let b be (-1)/12*-177 - (-3)/(-4). Suppose -b = 2*x - 6. Suppose 13 = 3*p + 2*w, -5*w + 16 = -4*p - w. What is the third smallest value in 2, x, p? 2 Let u = -29.9 - -30.1. Which is the second biggest value? (a) 4 (b) u (c) -1/6 (d) -8 b Let p be (-22)/(-77) - (-54)/(-140). What is the second smallest value in 0.2, 0.5, -0.2, p? p Let k be (-6)/4 + (-135)/(-30) + 1. Let m = -5 + 5.5. What is the fourth biggest val
{ "pile_set_name": "DM Mathematics" }
v(c) = 3*c**2 + 3*c**2 + 8 + c**3 - 7*c + c. Suppose 14 = -0*w - 2*w. Let q be v(w). Are q and 2/3 equal? False Let c = 4.9 - 2.9. Let x = -10 + 15. Suppose -4*g = -7*g + 2*d + 4, -x*g = -d - 9. Are c and g non-equal? False Suppose 0 = -5*u + 10, u + u - 16 = 2*k. Let w be (-22)/k + 4/12. Suppose -t - 3 = -3*d + 1, d + w = -t. Is -1/2 at most d? True Let m = 7 - 1. Which is greater: m or 2/3? m Let r be -1 - 10/(-5) - (-66)/(-9). Is -7 equal to r? False Let l be 0/((-1 - -2) + 1). Suppose -5*j = 4*o - 5, -3*o - 2*j + l = 5. Is o < -4? True Let n = 3.1 - 1. Let r = n + -2. Is -1 bigger than r? False Let j(b) be the second derivative of b**4/12 + 2*b**3/3 - 5*b**2/2 - 2*b. Let x be j(-5). Let p(k) = k + 7. Let w be p(-5). Is w < x? False Let b be (-6)/4*(-24)/9. Suppose b*u = -u. Let r be -1*1*(-11)/(-55). Is r bigger than u? False Let s = 2 + -1. Suppose s = -2*z + 3. Let q(f) = f - 3. Let p be q(3). Which is smaller: z or p? p Suppose -4*h = 2*c - 6 + 16, 5*h = -15. Let j = 2 + c. Is j < 1? False Let w = 204 + -3470/17. Let a = 0.2 - 1.2. Which is bigger: a or w? w Let p(j) = 2*j. Let g be p(1). Suppose 0 = n - g*n - 2, 0 = -a + 5*n + 13. Suppose -12 = h + a*m, 0*m = -2*h + 3*m + 12. Is 0 greater than or equal to h? True Let r = -0.18 - 0.12. Let b = r - -0.2. Which is greater: b or -2/3? b Let l = -56 - -58. Let i = -1.2 + 0.2. Are l and i nonequal? True Let p = -29 + 23. Let x be 6 - 3/p*-2. Which is smaller: 7 or x? x Let i(t) = -t + 3. Let b be i(-6). Suppose -b = 2*z - 11. Is -2/7 <= z? True Suppose 5*o = 2*q + 25, -2*o - 4*q - 19 = q. Let a be (2 + -1)*(o + 6). Suppose -a + 0 = s + 4*g, 5*g + 18 = s. Is s < 1? False Let v be (-18)/10 - (-2)/(-10). Let p(d) = -d**2 - d. Let m be p(-2). Is m less than v? False Suppose 3 = -3*g + 15. Let p = 4 - g. Suppose 2*b + r = 6*r + 10, p = -4*b - 4*r - 36. Are -6 and b nonequal? True Let h = -10 + 15.4. Let m = -0.4 + h. Let a = 3 - m. Which is bigger: a or 1? 1 Let y(l) be the second derivative of -l**4/12 + l**3/6 + 4*l. Let h be y(0). Is h equal to 3/16? False Let z be (-26)/72 - (-2)/8. Let m = 0.6 + -0.5. Which is smaller: z or m? z Suppose 0 = -8*n + 5*n - 12. Which is greater: n or -5? n Suppose 5*q = c - 6*c - 10, 4*q - 4*c + 48 = 0. Let z be (-5)/15 + q/(-12). Which is smaller: z or -3? -3 Suppose 4*v = -l + 10, 21 = 4*l + 3*v + 7. Let m be 14/18 - l/(-9). Is m smaller than 2/3? False Let p(u) = u**2 - 4*u - 5. Let t be p(5). Let w be (1 + 1/(-2))*t. Which is greater: -3/8 or w? w Suppose m - 5*r = 2*m - 19, 0 = 4*m + r. Let s be 3/(m - (-7)/(-2)). Let v = 0.1 + -0.1. Which is greater: v or s? v Let t = 0.8 + -2.8. Let j = t - -3. Which is smaller: 1/3 or j? 1/3 Let i(h) = -h**2 + 5*h + 8. Let c = 9 + -3. Let q be i(c). Suppose -2*t = -2*k - 11 + 3, 0 = q*t + 2. Which is smaller: k or -4? k Let n be 31 - 2/(2/3). Let f be 17/n + 1/4. Let y = f + -67/70. Which is smaller: y or 0? y Suppose -4*v = 5*a + 5, 3*v = a - 2*v + 1. Let r = 1 + a. Let y = 32/175 + -1/25. Is y != r? True Suppose v + 5 = -2*x, 2*v = -0*v + 4*x + 6. Let n = 22821364/39 - 585259. Let i = n - -287/3. Which is greater: i or v? i Let a(o) = -o**3 - 3*o**2 + 12*o + 4. Let s be a(-5). Is -2 at most as big as s? False Let w(o) = 4*o**2 - 3*o**2 - 3*o - 2 - 2*o**2 + 1. Let r be w(-3). Are 1/3 and r unequal? True Let h be 8/(-15)*(-25)/(-35). Let f = h - 2/105. Let c be 0/(1/(1/2)). Is f at least c? False Let t = 3 - -2. Suppose -3*l = 4*y - l - 2, -t = 5*l. Which is smaller: y or -3/7? -3/7 Let b(m) = m**3 - 3*m**2 + 7*m + 11. Let h be b(-4). Which is bigger: h or -128? -128 Let w = -2 - -2. Let z(k) = k**3 + 2*k - 4. Let y be z(4). Let c = -202/3 + y. Are c and w equal? False Let w = 32 - 47. Let b = -46/3 - w. Is b < 0? True Let k = 70 - 83. Which is greater: 1 or k? 1 Let n be 12/9*15/2. Suppose n = -5*x + 4*m, -m = -3*x - 6*m + 31. Which is bigger: x or 2/3? x Suppose -6 - 14 = -2*l. Let u be (-1)/(2 - 18/l). Are u and -4 equal? False Suppose -4 + 1 = 3*b. Let d = 23 - 25. Is b bigger than d? True Let i = -1 + 3. Suppose -k + i = -2*k. Is -2 < k? False Let n = 16 + -16.9. Let l = 0.8 + n. Are l and 2/3 non-equal? True Let i be 25/30*(-1)/5. Which is smaller: i or 0? i Let s(b) = b + 21. Let c be s(-4). Which is smaller: 14 or c? 14 Suppose -78 = 3*b - 21. Which is smaller: b or -21? -21 Let d be (7 - 2) + (-1)/1. Let z be d/(-28) + (-54)/14. Is -4 less than or equal to z? True Let k = 0.07 + -0.01. Let l = -2.185 + 0.185. Which is bigger: k or l? k Suppose -2*x + 0*x - 3*h - 15 = 0, -h - 5 = -4*x. Let j(l) = l**3 + l + l - l. Let w be j(0). Is x >= w? True Let a = -58 + 35. Which is greater: -1 or a? -1 Let f = -19 + 11. Let q(w) = w**3 + 7*w**2 - 10*w - 6. Let v be q(f). Suppose 0*u = 5*u + v. Is -1/2 <= u? False Let q(f) = -f**2 - 5*f + 17. Let m be q(-7). Let s(r) = -r**3 + r + 2. Let n be s(0). Which is smaller: n or m? n Let i = 9198983/63567 - -10/9081. Let t = -145 + i. Let s = 0.1 - 0.1. Is s bigger than t? True Suppose 7*t - 3 - 4 = 0. Suppose -2 = -3*l + 1. Is l smaller than t? False Let l = -4/19 + 31/57. Let o = 0.09 - 0.09. Which is bigger: o or l? l Let s = -3 + 1. Let c be s/10 + (-7)/(-35). Suppose -3*v - r - 2*r = 12, 0 = -5*r - 20. Is c > v? False Suppose 17 = 4*u - 5*g, 2 - 6 = -u + g. Suppose -1 + 4 = u*p. Which is smaller: 0 or p? 0 Suppose 5*q - 10 - 5 = 0. Let d = q - 0. Let k be ((-6)/4)/(3/(-6)). Is k at least d? True Let b = -0.01 + -0.99. Let o = b - -2. Is -0.1 less than or equal to o? True Let r = -7 + 4. Let w = 3 + r. Suppose 2*l - 6*l = w. Is l greater than -1? True Suppose 4*m = -0 + 16. Suppose 6 = -v + m*v. Suppose -21 = -t - v*t. Which is greater: t or 6? t Let s = -9 + 9. Let t be -2 - 1/(-9)*16. Which is bigger: t or s? s Let o(q) be the first derivative of q**3/3 - 2*q**2 - 5*q - 2. Let f be o(5). Let r = 6 + -5. Which is greater: f or r? r Let r be 2*-1 + (-28)/(-4). Suppose -4*w - 3*c + 19 = 0, -4*w = -r*w + 5*c - 24. Is 1 < w? False Let p(w) = w**2 - 9*w + 5. Let x be p(8). Which is greater: -4 or x? x Suppose -v = -5*d + 3, -4*v = 2*d - 5 - 5. Suppose -v*l - 4 + 0 = 0. Let o be (-3)/(l + (-26)/(-4)). Which is smaller: o or 0.1? o Suppose -3*w = -8*w - 10. Which is greater: 1 or w? 1 Suppose -3*d = d - 12. Let i = d + -3. Let n be (-2)/(1/2 - i). Which is smaller: -5 or n? -5 Let w be ((-1)/3)/(52/6). Which is greater: 1 or w? 1 Suppose 0 = -3*u + 5*c - 31, -3 = -0*u + 4*u + c. Are -5/2 and u non-equal? True Let x be (-76)/18 + 4 - (-13)/18. Which is smaller: x or -1/5? -1/5 Suppose -3*n + 19 = 2*q, -3*q - 2*q + 34 = 3*n. Is 0 less than n? True Let v = -3.7 - -1.1. Let w = v - 0.4. Let q = w - -2. Is q bigger than 1? False Let w = -0.05 - -3.05. Let t = 0.03 + -3.03. Let q = w + t. Which is smaller: 2 or q? q Suppose 2*u - 17 = -u + 2*d, 3*u = 4*d + 13. Let t be u/5 + (-2)/5. Let z = -8.9 - -9. Which is smaller: t or z? z Let o = 5 + -15. Let s(c) = -c**2 - 9*c + 10. Let r be s(o). Suppose r = -2*m + 4. Which is bigger: m or 1? m Let q = 21 + -19. Suppose -3*v + 4 = q*p, -3 = -2*p + 4*v + 29. Is 8 > p? False Suppose 3*s - 5*r = 10, -3*s = -0*r + 5*r - 20. Suppose 0 = 3*g - 8*g + 40. Which is bigger: g or s? g Suppose 8 = 4*t - 2*n, -3*n = -0*t + 2*t + 4. Are 3/4 and t nonequal? True Suppose -y + 58 = 5*c, 41 = c + 3*c - y. Let v = 112 + -103. Which is bigger: c or v? c Let h be ((-33)/(-44))/((-3)/(-16)). Suppose h*j + 23 + 41 = 0. Is -15 <= j? False Let k(u) = 14*u - 13*u - 3 + 0. Let r be k(5). Is 0 less than r? True Let l = -22 + 24. Suppose -2*a = l*a. Which is smaller: 6/7 or a? a Let b = 0.71 - -0.29. Are b and 27 equal? False Let d be 1*(-6)/3*1. Suppose 3*c - 12 = 0, 5*v - 2*c + 8 + 15 = 0. Do v and d have the same value? False Let a = -1/7 - 1/7. Let y(w) = 1. Let x(j) = j - 2. Let g(p) = -x(p) - 4*y(p). Let k be g(-2). Are k and a equal? False Suppose -3 = 3*b - 6. Let y(m) = -m**3 - 4*m**2 + 6*m. Let s be y(-5). Let w = -5 - s. Which is greater: b or w? b Let b = 349/1020 - 3/340. Let x(r) = -r - 2. Let n be x(-2). Which is smaller: n or b? n Let t be 29 - (1 - (2 + -4)). Let f be t/10 + (-6)/(-15). Which is smaller: f or 7/2? f Let n be -8 - -11 - 1*-3. Is 3 bigger than n? False Let y = -6 - -8. Is -0.07 > y? False Let o(l) = 2*l - 3 - 3*l + 1. Let t be o(-3). Let x
{ "pile_set_name": "DM Mathematics" }
10, 24151, 32906, 42963? 54310 What is next in 101060, 101053, 101024, 100961, 100852, 100685, 100448? 100129 What is next in -53791, -53794, -53797, -53800, -53803? -53806 What is next in 56, 719, 2562, 6179, 12164? 21111 What is the next term in -6, -26, -72, -156, -290? -486 What is next in -7411, -14816, -22213, -29602, -36983, -44356, -51721? -59078 What is the next term in 84, -421, -1814, -4539, -9040, -15761? -25146 What is next in -72353, -144744, -217137, -289532, -361929, -434328? -506729 What is next in 22393, 89570, 201533, 358282? 559817 What comes next: -40354, -40356, -40358, -40360, -40362, -40364? -40366 What comes next: -208, -545, -1106, -1891, -2900, -4133? -5590 What comes next: -89, -281, -701, -1463, -2681, -4469, -6941, -10211? -14393 What is next in -4644, -4646, -4646, -4644, -4640? -4634 What comes next: 2018, 4339, 6660, 8981, 11302? 13623 What is next in 7761, 7753, 7733, 7695, 7633, 7541, 7413? 7243 What is next in 8, 8, 72, 200, 392, 648, 968? 1352 What is next in -261, -236, -195, -138, -65, 24? 129 What comes next: 141304, 282614, 423924? 565234 What is the next term in 29321, 117261, 263827, 469019, 732837, 1055281? 1436351 What comes next: 83925, 167853, 251783, 335715? 419649 What is the next term in -8517, -8650, -8783, -8916? -9049 What comes next: 5618, 5617, 5616, 5615, 5614? 5613 What is the next term in 73, 339, 1061, 2467, 4785, 8243? 13069 What is the next term in 39685, 79369, 119051, 158731, 198409, 238085? 277759 What is next in 1256, 4976, 11182, 19874, 31052, 44716? 60866 What is next in 331, 1080, 2243, 3820, 5811, 8216, 11035? 14268 What is next in -1376, -5526, -12454, -22160, -34644, -49906, -67946? -88764 What is the next term in -388067, -388090, -388113? -388136 What comes next: 77, 52, 27, 2, -23? -48 What is the next term in 543, 4320, 14575, 34548, 67479, 116608? 185175 What is the next term in 669, 1771, 3619, 6219, 9577, 13699, 18591, 24259? 30709 What comes next: -212339, -212340, -212341, -212342? -212343 What comes next: 658, 770, 868, 946, 998, 1018, 1000, 938? 826 What is the next term in 10862, 10872, 10882, 10892, 10902? 10912 What comes next: 2503, 3224, 4425, 6106? 8267 What comes next: 39511, 39513, 39517, 39523, 39531? 39541 What comes next: -542, -416, -206, 88, 466, 928? 1474 What is next in -11472, -11415, -11314, -11163, -10956, -10687? -10350 What is next in -206875, -206873, -206871? -206869 What is the next term in 532807, 1065614, 1598421, 2131228, 2664035, 3196842? 3729649 What is the next term in 91978, 91993, 92008, 92023, 92038? 92053 What is next in -2305, -4604, -6903? -9202 What is the next term in -9383, -9374, -9365, -9356, -9347, -9338? -9329 What is the next term in -4523, -4603, -4665, -4703, -4711, -4683, -4613, -4495? -4323 What is next in 81748, 81747, 81746, 81745? 81744 What is the next term in 19, 121, 341, 721, 1303, 2129, 3241? 4681 What comes next: -90678, -181355, -272032? -362709 What is next in -25, -65, -107, -133, -125, -65, 65, 283? 607 What comes next: 41213, 41119, 40973, 40781, 40549, 40283? 39989 What is the next term in 774, 3002, 6720, 11928, 18626? 26814 What is next in 3214, 12694, 28500, 50632, 79090? 113874 What comes next: -519, -2099, -4733, -8421, -13163? -18959 What is the next term in -40, -56, -78, -100, -116? -120 What is the next term in 843, 835, 829, 825? 823 What comes next: -136, -41, 60, 173, 304, 459, 644, 865? 1128 What comes next: 67541, 135082, 202627, 270176? 337729 What is next in -35360, -70671, -105982? -141293 What comes next: -273110, -273100, -273076, -273032, -272962, -272860? -272720 What is next in 4666, 4676, 4696, 4732, 4790? 4876 What is the next term in 510, 730, 950? 1170 What is next in 34940, 34939, 34938, 34937? 34936 What comes next: 4620, 18407, 41394, 73587, 114992, 165615, 225462? 294539 What comes next: -575, -2321, -5235, -9317, -14567, -20985, -28571? -37325 What comes next: -216, -449, -676, -897, -1112, -1321, -1524? -1721 What is next in -164, -164, -156, -134, -92, -24, 76? 214 What is next in -751, -626, -417, -124, 253, 714? 1259 What comes next: -4527, -4530, -4533, -4536, -4539? -4542 What comes next: 4972, 5036, 5102, 5170, 5240, 5312? 5386 What is the next term in 35908, 36064, 36220, 36376? 36532 What comes next: 353, 760, 1179, 1616, 2077, 2568, 3095, 3664? 4281 What is next in -17637, -70559, -158767, -282261, -441041, -635107? -864459 What is the next term in 4561, 9062, 13501, 17884, 22217, 26506, 30757, 34976? 39169 What comes next: -134878, -269765, -404652, -539539, -674426, -809313? -944200 What is the next term in -138, -1218, -4158, -9894, -19362? -33498 What is the next term in 1429, 2849, 4277, 5713? 7157 What is the next term in -277, -344, -443, -574, -737? -932 What is next in -857, -1657, -2457, -3257? -4057 What is next in -82, -170, -240, -292? -326 What is next in -3031, -12101, -27209, -48349, -75515, -108701, -147901? -193109 What is next in -32099, -64197, -96273, -128315, -160311? -192249 What is next in -144, -256, -366, -474? -580 What is next in 12670, 12636, 12602, 12568, 12534, 12500? 12466 What is the next term in -9413, -37625, -84635, -150437, -235025, -338393, -460535? -601445 What is next in 4207, 3903, 3599, 3295, 2991? 2687 What is the next term in 151, 610, 1347, 2338, 3559, 4986, 6595, 8362? 10263 What comes next: 184, 708, 1580, 2800, 4368, 6284? 8548 What is the next term in -3714, -7423, -11132, -14841, -18550? -22259 What comes next: -23808, -47619, -71430, -95241, -119052, -142863? -166674 What comes next: -2136, -4358, -6580, -8802, -11024, -13246? -15468 What is next in -439, -401, -309, -139, 133? 531 What comes next: -608950, -608951, -608952, -608953, -608954? -608955 What is the next term in 177, 558, 1121, 1842, 2697, 3662, 4713? 5826 What is next in -292, -1263, -2880, -5143, -8052, -11607? -15808 What comes next: 50712, 50689, 50680, 50691, 50728, 50797? 50904 What comes next: -14, -81, -168, -275, -402? -549 What is next in 705, 707, 713, 723? 737 What comes next: 28, -7, -42? -77 What is the next term in 8703, 17409, 26129, 34869, 43635, 52433? 61269 What is the next term in 15001, 15003, 15007, 15013, 15021? 15031 What comes next: 20, 290, 718, 1304, 2048, 2950, 4010? 5228 What is next in 42, 72, 68, 12, -114, -328, -648, -1092? -1678 What is the next term in 16879, 16876, 16873, 16870, 16867? 16864 What is next in 43, 59, 87, 133, 203, 303, 439, 617? 843 What is the next term in 2234, 4459, 6678, 8891? 11098 What is next in 218, 2072, 7106, 16910, 33074, 57188, 90842? 135626 What is next in -7982, -63966, -215918, -511820, -999654, -1727402? -2743046 What is next in -1465, -5854, -13179, -23446, -36661? -52830 What is next in -1981, -7891, -17741, -31531? -49261 What comes next: 79357, 79355, 79343, 79315, 79265? 79187 What is the next term in -922, -3624, -8126, -14428, -22530, -32432? -44134 What is the next term in 1106, 604, 102, -400, -902, -1404? -1906 What is next in 69679, 69684, 69689? 69694 What is the next term in -3665, -3672, -3693, -3734, -3801? -3900 What is the next term in -276, -1161, -3224, -7053, -13236? -22361 What is next in -53, -181, -465, -983, -1813, -3033, -4721, -6955? -9813 What comes next: 109995, 110007, 110043, 110115, 110235? 110415 What comes next: 217, 240, 271, 310? 357 What comes next: 295157, 295159, 295161? 295163 What is the next term in -530, -285, 380, 1675, 3810, 6995, 11440? 17355 What is the next term in -747776, -747774, -747772, -747770, -747768, -747766? -747764 What is the next term in -342, -569, -630, -441, 82, 1023, 2466? 4495 What is next in -519, -2355, -5467, -9861, -15543, -22519, -30795? -40377 What is the next term in -49, -478, -1193, -2194, -3481? -5054 What is the next term in 9850, 19755, 29652, 39535, 49398, 59235, 69040, 78807? 88530 What is next in -5250, -5265, -5288, -5319, -5358, -5405, -5460? -5523 What is the next term in -2789, -2838, -2919, -3032, -3177, -3354, -3563? -3804 What is next in 860, 1733, 2602, 3467? 4328 What is the next term in -1170, -2170, -3172, -4176, -5182? -6190 What comes next: -35125, -140459, -316015, -561793, -877793, -1264015, -1720459? -2247125 What is next in -4443, -4447, -4453, -4461, -4471? -4483 What comes next: -16
{ "pile_set_name": "DM Mathematics" }
. Which is greater: y or 2/7? y Let z be (-147)/1911 + 3356/26. Which is smaller: z or 132? z Let z = 606 - 35752/59. Is z at most as big as -1? False Let d(q) = q**2 + 8*q - 10. Let n be d(4). Suppose -n*s = -33*s + 125. Are s and -24 nonequal? True Let m = 625 + -925. Is m equal to -302? False Let h = 667 - 610. Which is smaller: 54 or h? 54 Let w(p) = -6*p - 16. Let t be w(-3). Suppose 2*r + t*r + 2*r = 0. Is r > 12/5? False Suppose -5*x + 0*x = 0. Let h be 4/172*(2/(-6) + 0). Which is smaller: x or h? h Let q(x) = x**3 + 12*x**2 - 10*x - 25. Let p be q(-13). Which is greater: p or -47? -47 Let p = -14473/348036 - -17/388. Let v = -168/14053 - p. Are 0 and v equal? False Let g = 74.055 - 0.055. Let f = -75 + g. Is 1/3 smaller than f? False Let k(w) = -w**2 + 6*w - 8. Let n be k(9). Let f(m) = 34*m - 308. Let u be f(8). Which is greater: n or u? n Suppose -4*j = 114 - 78. Which is smaller: -7 or j? j Let i = 0.17 + -0.1. Let j = -1.7 - -1.67. Let w = i - j. Which is smaller: w or -0.08? -0.08 Let c(u) = -u**3 + 7*u**2 - 4*u - 7. Let x be c(6). Suppose 0*d = x*d + 10. Do d and -16/7 have different values? True Let r = 0 + -3. Let o = 67.9 + 0.1. Let h = -68 + o. Which is smaller: r or h? r Let b(x) = -6*x + 6*x + x. Let o be b(2). Suppose -s = s. Which is smaller: s or o? s Let i = -317 - -297.3. Let h = -6.3 + i. Let f = h + 28. Which is bigger: f or -0.2? f Let l be 63/(-15) - -2 - (-1 - 1). Let z = 161/5 + -2717/85. Which is greater: l or z? z Let b = -2.1 - -12.1. Let g = b - 4. Let w be 9/(-21) + (-10)/(-7). Is w less than g? True Let j = -175 + 174.8. Which is smaller: j or 57? j Let o be 27/45 + (-492)/(-30). Which is greater: 143/8 or o? 143/8 Let r(d) = d + 2. Let l be r(2). Let a(q) = -q**2 + 8*q - 5. Let w be a(7). Suppose 0 = -k - w*y, -k - l*y = 4*k. Which is smaller: k or 1/2? k Let m be (-5 - -5) + 8/(-2). Let q be 3/(247 + -1)*m. Which is smaller: q or -1? -1 Let i be (-2 + 4)/((-6)/9). Suppose 0 = -3*t - 4*x - 19, 2*t + 4 = 4*x - 2. Which is bigger: t or i? i Let s = -259 + 2077/8. Let t(z) = z**3 - 2*z**2 - 9*z + 6. Let j be t(4). Suppose -7*h + 5 = -j*h. Which is smaller: h or s? s Let f = 17.58 - 29.31. Let z = 0.27 - f. Let h = -11 + z. Which is bigger: h or 4/5? h Let c = -595 - -8926/15. Is c equal to -2/7? False Let p = -1208.2 + 1208. Suppose -358 + 79 = -3*w. Let t be w/390 + 3/(-15). Are t and p nonequal? True Let c be 1 + 0 - (1 - -330). Suppose 0 = 4*t - 158 + 150. Let x be 5/c - t/(-11). Which is greater: -2 or x? x Let u(b) = b + 7. Let t be u(-7). Which is bigger: -1/17 or t? t Let o be 7*(-205)/190 - -3 - -4. Is o at most -1? False Let d = 477 - 478. Let p = -47/123 + 2/41. Which is bigger: d or p? p Let y be 26008/(-34) - 37/629. Which is bigger: y or -764? -764 Let m = -241 + 223. Which is smaller: m or -88/5? m Suppose 15 = -27*b - 12. Does -15/17 = b? False Let i = 718.8 - 719. Which is smaller: i or 1/20? i Suppose 258*h = 287*h. Is 6/55 equal to h? False Let d = 724 - 733. Which is greater: 15 or d? 15 Let d be 93/186*520/7. Which is smaller: d or 38? d Let c = 0.28 - -14.72. Let g = -25 + c. Let s = -9 - g. Which is smaller: s or 3? s Let a = -21 - -49. Let t be 30/(-7) + 8/a. Let z be (-6)/t*-1*-2. Which is greater: z or 4? 4 Let k be 1 + 0 - 1*-11. Suppose -3*b = -4*r - 6*b - k, -5*r + 3*b + 12 = 0. Let h be 598/(-483) - (-12)/21. Are h and r unequal? True Let y be (13*2/(-3))/18*6. Is -4 bigger than y? False Let u = 486 - 487. Which is greater: u or -2/1921? -2/1921 Suppose 0 = 2*y + 3*y - 15, -5*f = 4*y - 22. Suppose -5*v = -4*v - f. Is 3 > v? True Let d be (-7 - (-102)/15)/(1/(-4)). Is 0 not equal to d? True Let n(k) = -15*k - 3. Let a be n(-2). Suppose -4*j = 3*m - 43 - 32, j - 2*m - a = 0. Are j and 19 unequal? True Let a be (1/(-134))/((-30)/(-4) + -1). Let w = 10457/4355 + a. Is 3 bigger than w? True Let t be (-16)/56 + (-312)/(-945). Suppose 1 = w - 2*u, 7 = 5*w + 4*u + 2. Which is smaller: t or w? t Let g = 149 - 170.1. Let c = -21 - g. Is -64 at most as big as c? True Let m(g) = g**3 + 4*g**2 - 11*g - 52. Let h be m(-4). Let n(w) be the third derivative of w**5/60 - w**4/3 - 2*w**2. Let d be n(7). Which is smaller: h or d? h Let i(o) = 2*o**3 - 4*o**2 + 6*o + 3. Let j be i(-4). Let t be j/(-45) - (-2)/(-5). Let v = t + -41/9. Which is greater: v or 1? 1 Let v = 410 + -481. Which is bigger: -72 or v? v Let x = -13192/73245 - -6/1285. Which is smaller: x or 0? x Let n = 97 + 19. Let h = n - 115.8. Is h less than -0.6? False Let h = -806 + 710. Is h < -98? False Let v(i) = -5*i + 4. Let l be v(-2). Suppose -l*o = -11*o - 9. Is o > 3? False Let n = 238.9885 - -0.0115. Which is greater: 0 or n? n Let o = -1140 - -2049. Do o and 910 have the same value? False Suppose 0*u + 2*u - 10 = 0. Let k be 10*u/((-75)/(-6)). Let c(y) = -y**2 - 20*y - 31. Let s be c(-18). Is s bigger than k? True Suppose -o = 3*w + 9, 2*w + 6 = o - 0*o. Suppose -c + 2*c = -3*h + 7, o = -5*c - 10. Is h less than 1? False Let p(q) = -q**2 + 8*q - 13. Let n be p(6). Let i = -2/7 - -39/112. Are n and i non-equal? True Let w(d) = -2*d - 8. Let c be w(-4). Suppose 5*r + 4 - 89 = c. Let n = r - 28. Is n smaller than -1/3? True Let f be 884/(-65) - (-4)/(-10). Let m(x) = -x + 8. Let w be m(-6). Let r = w + f. Are r and -2/5 equal? False Let m be ((-6)/(-4) - (-82)/(-60))*5. Is 165 equal to m? False Let v(g) = g + 2. Let u be v(4). Let p = -3 + u. Suppose p*b - 3 = -0. Is b bigger than 1/3? True Let u be ((-3)/(-1))/(9/6). Suppose -13 = 3*g - z, -3*z = -g - u*g - 9. Let q be (-8)/28*(-21)/9*(-60)/8. Do q and g have different values? False Suppose 0 = 2*h - 3*p - 2*p + 7, 2*h + 2*p = 14. Let n be 8/(-20) + (-152)/(-5). Suppose -4*d - 4*y - 18 = d, 3*d = h*y - n. Is -5 equal to d? False Suppose -f + 2*n - 4 = 0, 4*f + n + n - 14 = 0. Let q be -7 + (-3 - -9 - f). Which is smaller: q or -24/7? -24/7 Let b(v) = v + 7. Let o be b(-7). Suppose o = -m - 3 + 16. Let y = -9 + m. Are 4 and y unequal? False Let t(v) = v**2 + 3*v + 1. Let p be t(-4). Let l be (-5)/(-10)*p/(-3). Suppose -2*n = 2*k + 12, 3*k - 6*k = -4*n + 4. Which is bigger: n or l? l Suppose 0 = -4*p - 38 + 106. Let u = 20 + -2. Which is smaller: p or u? p Let u be 2/(-12) - 657/(-54). Let k(s) = -s**2 + 12*s + 1. Let f be k(u). Which is bigger: f or 10/17? f Let u = 93 - 161. Let q = u - -70. Are 5/9 and q unequal? True Let d(v) = v**3 - 25*v**2 + 53*v - 137. Let t be d(21). Are -2/5 and t non-equal? True Let y be (-40)/15*((-49)/4 + 1). Suppose 4*v - 14 = y. Let k(x) = 5*x + 1. Let g be k(2). Are g and v equal? True Let f be ((15/60)/(6/8))/(-2). Let d = f - -1/15. Which is bigger: d or -1? d Let q = -27.51 - -28.7. Let c = 0.89 - q. Is c <= 6/23? True Suppose 0*o + o - 3 = -z, 3*z - 3*o = 9. Let i be (-2 + 0)/(z - 2). Do -1/2 and i have the same value? False Let k be (6 + (-262)/45)*10. Which is greater: k or -1? k Let u(n) = -n**2 + 5*n + 8. Let h be u(6). Is -3/53 smaller than h? True Let x = -2680 + 2673. Is x at most as big as -9? False Let a(f) = -f**3 + 62*f**2 - 173*f + 83. Let m be a(59). Do 317 and m have different values? True Suppose -30*i + 312 = -18*i. Which is bigger: 4/7 or i? i Let o be (-5)/(6/(-4) + -1). Suppose 4*l + o*l + 12 = 0. Let d be ((-81)/36)/(l/(-8)). Are -8 and d unequal? True Let n = 312849 + -12203216/39. Let v = n + 54. Is v at most -1? False Let c = -5.92 - 0.08. Let l = 1.34 - 1.84. Which is smaller: l or c? c Suppose 9*q = 32*q + 2714. Is q less than or equal to -117? True Let n be 0/1 - (0 - 3). Suppose n*h + r + 4 = 0, h - 3*r + 1 = 3. Let c = h - 1. Is c greater than 2? False Let z = 8 - -60. Let g be 4 + (-4 - 8/z). Does g = -3/5? False Suppose 0 = -2*k - 3*v - 13, 8*v - 5*v - 12 = 3*k. Which is bigger: k or -4? -4 Let r be ((-4)/6)/((268/(-9))/(-2)). Which is smaller: r or 0? r Let r = -467.97 - -468. Is r > -2/177? True Suppose 4*u - 154 = 11*u. Let y = 23 - 48. Let z = y - u. Is 0 less than z? False Let x = -187 + 266. Which is smaller: x or 78? 78 Let c be (-14)/(-70) - (-6)/(-5). Which is greater: -1/24 or c? -1/24 Let r(p) = -p**3 - 57*p**2 - 87*p + 131. Let h be r(-56). Are 1867 and h unequal? False Let j = -7 - -9. Suppose -w - 5*o - 26 = j*w, w + 6 = -o. Let p = w + 3. Which is bigger: p or 2? 2 Let a(o) = o - 4. Let u be a(4
{ "pile_set_name": "DM Mathematics" }
2/19)/c)/c)) assuming c is positive. c**(1525/133) Simplify (l*l**(-1/5)/l*(l**6*l)/l*l)/((l/l**(-3)*l)/(l/(l*l**(-4)*l))) assuming l is positive. l**(24/5) Simplify (q**15/(q**(-11)*q))**11 assuming q is positive. q**275 Simplify (m**(1/14))**(-1/13) assuming m is positive. m**(-1/182) Simplify y/y**25*(((y/(y/(y*y**(-12))))/y)/y)/y*y assuming y is positive. y**(-37) Simplify ((n/n**(1/6))/(n*n**(1/11)))/((n/n**(-8))/n**(2/19)) assuming n is positive. n**(-11477/1254) Simplify (d*d**(-2/13)/d*d/(d/(d*d/d**10*d)*d*d))/(d**(-5/3)/d**(2/5)) assuming d is positive. d**(-1382/195) Simplify (d/((d*d**12)/d*d))**(6/13) assuming d is positive. d**(-72/13) Simplify ((o*o**(-4))/(o/o**2))/(o*o/(o**(4/3)/o)*o*o*o**(-3)*o) assuming o is positive. o**(-11/3) Simplify (l/((l/(l*l*(l/(l*l**(-3)/l))/l*l))/l))/l*l*l**9*l*(l*l/l**8)/(l/l**(2/25)) assuming l is positive. l**(252/25) Simplify ((v*v**6)**(12/11))**(-32) assuming v is positive. v**(-2688/11) Simplify (j/(j/j**(-2))*j*j*j)**(-16) assuming j is positive. j**(-16) Simplify g**(-7)/g**(7/5)*g**(5/2)/(g/((g/(g/g**(-3/4)))/g)) assuming g is positive. g**(-173/20) Simplify ((b**2)**(1/15))**42 assuming b is positive. b**(28/5) Simplify (b**6)**(21/8) assuming b is positive. b**(63/4) Simplify q/q**(-1/23)*q/(q**(-1/16)*q) assuming q is positive. q**(407/368) Simplify (y**(1/5)*y**2)**(-1/9) assuming y is positive. y**(-11/45) Simplify y/y**(1/11)*y**(1/4)/y*y/((y**6*y)/y)*y/(y*(y/(y*y**(-1/4)*y))/y)*y assuming y is positive. y**(-23/11) Simplify ((t**(-2/3)*t)**(9/7))**(-2/3) assuming t is positive. t**(-2/7) Simplify (v/(v/((((v/v**(-2/19))/v)/v)/v*v)))**(3/2) assuming v is positive. v**(-51/38) Simplify (s**23*s)**(1/17) assuming s is positive. s**(24/17) Simplify (o**(-4/9)/o*o*o**(-5))/(o/((o**(-2)*o)/o))**(-10/11) assuming o is positive. o**(-269/99) Simplify z**(-6)*z*z**(-2/15)*z assuming z is positive. z**(-62/15) Simplify (k/(k**(2/29)/k))/k**26 assuming k is positive. k**(-698/29) Simplify q**(-2/5)/q**(-3/7)*q**(1/15)/q**(-8) assuming q is positive. q**(170/21) Simplify (i*i*i/((i*i**5*i)/i)*i/(i**(1/3)/i))/(i**(3/5)*i**(2/13)/i*i) assuming i is positive. i**(-407/195) Simplify x/((x/(x**(-10)*x*x))/x)*x**(-5)*x**(3/7)*x**(2/7)*x assuming x is positive. x**(-72/7) Simplify (x*x**0)/x*x*x/((x**(5/3)/x)/x)*x*(x*(x*(x*x**(-2))/x*x)/x)/x*x*(x*x/(x**(-2/7)/x*x))/x assuming x is positive. x**(97/21) Simplify y**13*y*y**(-20)*y assuming y is positive. y**(-5) Simplify (i/(i*i**(-1/4)))**(-6/7)*(i**2)**(4/11) assuming i is positive. i**(79/154) Simplify (s/(s/(s*s**(2/7)*s)*s)*s)**(8/15)*(s/(s/s**1*s))**(-3/7) assuming s is positive. s**(128/105) Simplify u**(-8)*u**(-1/5)*u*u**(-2/5)/(u*(u/(u*u**3/u)*u)/u*u) assuming u is positive. u**(-38/5) Simplify (g/(g**3/g)*g**(2/5)*g)/(g*g**(2/9)*((g*g**(1/9)*g)/g)/g) assuming g is positive. g**(-14/15) Simplify (u/u**(17/4))/u**(-3/4) assuming u is positive. u**(-5/2) Simplify u**(-42)*u*u/(u**0*u*u*u) assuming u is positive. u**(-43) Simplify j*j**4*j**23 assuming j is positive. j**28 Simplify (r**(2/15)*r)**(2/5) assuming r is positive. r**(34/75) Simplify l**(2/9)/(l/l**(1/3)) assuming l is positive. l**(-4/9) Simplify z*((z/z**(-4))/z)/z*z*z**9*(z*z*z/(z/(z*z**4*z)))/z*z**7 assuming z is positive. z**28 Simplify (p/((p*p**17)/p))**8 assuming p is positive. p**(-128) Simplify (l**(-2/9)/l)**(-3)*(l*l*l*((l*(l*l**(-7))/l)/l)/l*l)/l*l*l**(-1/3) assuming l is positive. l**(-2/3) Simplify ((o**2)**(1/4))**17 assuming o is positive. o**(17/2) Simplify m**(-4/7)/m**(-1)*m**(-9)/m**(4/7) assuming m is positive. m**(-64/7) Simplify (h**(6/7))**(1/4) assuming h is positive. h**(3/14) Simplify r**(-4/7)/(r**(1/12)/r)*(r**(2/7))**24 assuming r is positive. r**(605/84) Simplify (s**(2/25))**(-29) assuming s is positive. s**(-58/25) Simplify v**0*v**2*(v/((v/v**(2/11))/v))/(v/(v*v**(3/4))) assuming v is positive. v**(173/44) Simplify d**(-3)*d*d**7*d*d*d*(d**(2/3))**39 assuming d is positive. d**34 Simplify ((c/c**(-2/17))/c**(2/7))**(-26) assuming c is positive. c**(-2574/119) Simplify (c**(-7))**(-38) assuming c is positive. c**266 Simplify (k*k**(2/13))/k*k**(-1/11)*k*k**(1/3)*k*k/(k*k/(k**2/k)*k*k*k)*k assuming k is positive. k**(170/429) Simplify (g*g**(-3/22)*g**(-5)/g)**5 assuming g is positive. g**(-565/22) Simplify (v**(-10)/v)**(-18) assuming v is positive. v**198 Simplify (v**(-5/2)*v*v/(v*v/v**(-1)*v))**20 assuming v is positive. v**(-90) Simplify t**(4/3)*t**(-3/10) assuming t is positive. t**(31/30) Simplify (f*f**(-7))/f**(4/17) assuming f is positive. f**(-106/17) Simplify (z**(-1))**15/(z/(z*z/(z/(z/(z**(1/4)*z))))*z/(z**(-3/7)/z)) assuming z is positive. z**(-495/28) Simplify (c**(-38)*c*c)/c**(2/23) assuming c is positive. c**(-830/23) Simplify (d**(-2)*d*d**(-2/25)*d)/(d**(1/2)*d**(-5)*d) assuming d is positive. d**(171/50) Simplify (z/(z/(z**(4/11)/z)))/(z*z**(-11)) assuming z is positive. z**(103/11) Simplify (h**0)**(4/7)/((h*h/(h/(h**(1/2)/h)))/h*h)**(-35) assuming h is positive. h**(35/2) Simplify (r*r/r**(-15)*r)/r**4 assuming r is positive. r**14 Simplify t**(-7)/t**19 assuming t is positive. t**(-26) Simplify ((c*c/c**3*c)/(c*c*c**(-6)*c))/(c**(-6/11)*c**1) assuming c is positive. c**(28/11) Simplify (v/v**(1/2)*v**(-1/3)/v)**10 assuming v is positive. v**(-25/3) Simplify ((j*j*j**(-2/5)*j)/j**(-7))/(j*j**(1/3))**(43/3) assuming j is positive. j**(-428/45) Simplify n**(-3/2)*n**(3/7) assuming n is positive. n**(-15/14) Simplify d**(-19)*(d/((d**20*d)/d))/d assuming d is positive. d**(-39) Simplify (t*t**(-2/7)*t*(t**0*t*t)/t)**16 assuming t is positive. t**(304/7) Simplify q**(-6)/(q**(-5/8)/q) assuming q is positive. q**(-35/8) Simplify g/(g**(1/5)/g*g*g)*g**(-5)*(g/((g*g**1*g*g)/g))**(-2/31) assuming g is positive. g**(-786/155) Simplify (h**(-1/4)/h*h)/((h*h/((h/h**(-16))/h)*h)/h) assuming h is positive. h**(55/4) Simplify (u**(-38))**(-7/11) assuming u is positive. u**(266/11) Simplify m/(m**9/m)*m/(m**2*m) assuming m is positive. m**(-9) Simplify h**(-4/3)/(h/h**(-3)*h)*(h**2/h)/(h/((h/(h*h/h**(-2/7)))/h)) assuming h is positive. h**(-181/21) Simplify (((c/(c/c**(2/3)*c))/c)/c*c/(c*(c*c**11*c)/c*c))**(1/12) assuming c is positive. c**(-23/18) Simplify ((u**(-2/9))**(-27))**(-5/4) assuming u is positive. u**(-15/2) Simplify (r**(-1/4)*r/r**(5/2))**(-31) assuming r is positive. r**(217/4) Simplify i**(1/5)*i*i**(-35) assuming i is positive. i**(-169/5) Simplify ((g*g**7)/g)/(g*(g*g/(g*g**(2/7))*g)/g)*g**(-1/5)*g*g*g**(1/2) assuming g is positive. g**(531/70) Simplify (w**0*w*w)**(-26)*((w/(w*w**(-1/2)))/w)**(-8) assuming w is positive. w**(-48) Simplify (m**(-13))**(-5/9) assuming m is positive. m**(65/9) Simplify (x**(-3)*x)/x**(-1/21) assuming x is positive. x**(-41/21) Simplify (o**0)**(-3/4) assuming o is positive. 1 Simplify (x/(x/(x*x*x*x**(-1/3)*x*x))*x**4)/(x*x**(-1/2))**(-1/82) assuming x is positive. x**(4267/492) Simplify s**(-24)*s*s**(2/25) assuming s is positive. s**(-573/25) Simplify ((y*y**10)/((y**(1/4)/y*y)/y))/(y**3/y**(2/7)) assuming y is positive. y**(253/28) Simplify (d**(2/13)/(d/(d**(2/19)/d)))**(-2/149) assuming d is positive. d**(860/36803) Simplify ((r*r*r/r**(-6/11))/r**(-6))/((r/(((r**5*r)/r)/r))/(r*r**7)) assuming r is positive. r**(226/11) Simplify x**(-12)/x*x/(x**(2/15)/x) assuming x is positive. x**(-167/15) Simplify (p/(p/((p/(p*p**(-1/2)))/p*p*p)*p))/p*p*p**(-20) assuming p is positive. p**(-39/2) Simplify s**(5/2)*s**(-1/2)*(s*s**4)/(s*s/(s**4/s)) assuming s is positive. s**8 Simplify i**(-2/5)*i**4*i**(-2/21)/i**(-4) assuming i is positive. i**(788/105) Simplify (i**(-7)*i)/((i*i**(-18))/i) assuming i is positive. i**12 Simplify y**6*y*y*y**(-12) assuming y is positive. y**(-4) Simplify (k**(-1/7)/(k**8/k))/(k**(-7)*k/(k**(2/13)/k)) assuming k is positive. k**(-181/91) Simplify (l**2)**20*l*(l*l**4)/l*l*l*l**(-10) assuming l is positive. l**37 Simplify (f*f**5*f**0)**(1/3) assuming f is positive. f**2 Simplify u**(-23)/u**(-6/7) assuming u is positive. u**(-155/7) Simplify (o*o*((o*o*o**6*o*o)/o*o*o)/o*(o/(o/(o**15/o)))/o)**(-49) assuming o is positive. o**(-1225) Simplify (o*o**0)**(11/5)*(o/(o*o**(2/5)))**(-1/21) assuming o is positive. o**(233/105) Simplify (k**(-3/2)/k*(k/k**(1/9))/k)**(-17)
{ "pile_set_name": "DM Mathematics" }
derivative of a(d) wrt d. 36 Let s(p) = -p**3 - 7*p**2 - 10*p + 4. Let d be s(-5). Find the second derivative of 32*o**4 - 7*o**4 - d*o**5 + 3*o**5 - 113*o wrt o. -20*o**3 + 300*o**2 Let g(m) = m**3 - 9*m**2 + 4*m - 114. Let o be g(10). What is the first derivative of -61 + o + j - 49 wrt j? 1 Suppose -m - 5*p + 21 = -0*m, -4*m = 5*p - 24. Let c be (16 + m - 3)/(8/32). What is the third derivative of -8*h**3 + 3 + 14*h**2 + c*h**3 - 13*h**2 wrt h? 288 Let x(i) = 13*i**4 + 8*i**2 - 5*i - 226. Let n(a) = -225 + 14*a**4 + 18*a + 18*a + 9*a**2 - 42*a. Let t(k) = -5*n(k) + 6*x(k). Differentiate t(y) wrt y. 32*y**3 + 6*y Find the third derivative of 719*x**2 - 3*x**4 + 0*x**2 + 3*x**4 - 87*x**6 + 1834*x**6 wrt x. 209640*x**3 Let k(q) be the third derivative of q**8/56 + 23*q**7/210 + 79*q**5/60 - 5*q**4/24 - 90*q**2 + q. What is the third derivative of k(m) wrt m? 360*m**2 + 552*m Let l(u) be the third derivative of -u**7/210 + 239*u**4/8 - 4*u**3/3 - 13*u**2 + 40. Differentiate l(t) wrt t. -4*t**3 + 717 Let w(j) be the second derivative of 0 + 1/6*j**3 + 25/4*j**4 + 85/2*j**2 + 3*j. Find the second derivative of w(a) wrt a. 150 Suppose -4*f + 9 = -7, 3*x = -3*f + 21. Find the third derivative of -w**2 + 53*w - 14*w**x - 49*w**3 + 24*w**3 wrt w. -234 Find the third derivative of -218 + 212 - 12*k**2 - 2*k**2 - 933*k**3 wrt k. -5598 What is the second derivative of -12937*h - 4080*h**3 - 1527 + 1527 - 2*h**4 + 3096*h**3 wrt h? -24*h**2 - 5904*h What is the second derivative of 1639*a**2 + 564*a**2 + 288*a - 133*a**2 + 216*a wrt a? 4140 Let m(h) be the first derivative of 3172*h**7/7 + 2881*h**3/3 + 1640. Find the third derivative of m(p) wrt p. 380640*p**3 Let m(f) = 3*f + 46. Let s be m(-12). What is the derivative of -103*g**4 + 112*g**4 + 6*g**2 - 2*g**2 - s*g**2 - 184 wrt g? 36*g**3 - 12*g Let j(v) = v**3 + v**2 - 3*v - 2. Let i be j(-2). What is the third derivative of 295*c**4 - 1 + 10*c**3 - 593*c**4 + 297*c**4 - 4*c**2 + i wrt c? -24*c + 60 Let l = -1183 - -1197. Let m(p) be the first derivative of -5/4*p**4 - 23/2*p**2 + l + 0*p**3 + 0*p. What is the second derivative of m(j) wrt j? -30*j Let n(j) = -87*j**2 - 14*j - 6786. Let m(q) = 39*q**2 + 6*q + 3394. Let o(d) = -7*m(d) - 3*n(d). What is the derivative of o(x) wrt x? -24*x What is the second derivative of -14*i**4 + 6 - 10*i**3 + 11*i + 5 - 11 - 10 - 8 wrt i? -168*i**2 - 60*i Let s(b) be the first derivative of 54*b**5/5 - 3*b**4/4 - 196*b**3 - 1273. What is the third derivative of s(f) wrt f? 1296*f - 18 Let d(g) = g + 8. Let f be d(-5). Suppose 0 = f*c - 31 - 20. Find the second derivative of -c*u**3 + 9*u - 17*u**3 + 12*u**3 wrt u. -132*u Find the first derivative of 312*i**2 + 434 + 228*i**2 + 556*i**2 wrt i. 2192*i Let n(h) = 4*h**2 + 2*h - 57. Let z(o) = 140 - 33 + 6 - 7*o**2 - 5*o - o**2. Let b(l) = 5*n(l) + 2*z(l). Differentiate b(a) wrt a. 8*a Let u(h) be the first derivative of -466*h**2 + 131*h - 2318. Differentiate u(i) with respect to i. -932 Suppose -2*c - 8*c + 300 = 0. Suppose -18 = 4*z - c. What is the first derivative of -1 - 35*d + 8*d**z - 33*d + 68*d wrt d? 24*d**2 Differentiate -269*q**2 + 7002 + 10*q**2 + 2*q**3 - 240*q**2 - 950 - 318*q**2 wrt q. 6*q**2 - 1634*q Let n(r) = 116*r + 3596. Let i be n(-31). Let u(b) be the first derivative of 8 + i*b**3 + 13/4*b**4 + 0*b**2 + 9*b. What is the first derivative of u(d) wrt d? 39*d**2 Let y(r) = -4686*r**3 - 5*r - 3107. Let c(u) = 2342*u**3 + 3*u + 1556. Let d(p) = -5*c(p) - 3*y(p). Find the first derivative of d(z) wrt z. 7044*z**2 Let z(q) be the third derivative of -5*q**2 - 1 - 7/10*q**5 - 13/8*q**4 + 0*q**3 + 0*q. Find the second derivative of z(h) wrt h. -84 What is the derivative of -23051*f**4 + 10637*f**4 - 3489 + 10048*f**4 wrt f? -9464*f**3 Let u(v) be the third derivative of -v**5/60 + 497*v**4/24 - 12161*v**3/6 + 2363*v**2. What is the derivative of u(w) wrt w? -2*w + 497 Let t(z) be the first derivative of -3 - 3 + 141*z + 86*z**2 + 4 - 3 - 1. What is the first derivative of t(h) wrt h? 172 Let b(f) = f**3 - 6*f**2 + 2*f - 2. Suppose 18 = 58*r - 55*r. Let i be b(r). What is the first derivative of -8*q**4 - 16*q**4 + 36 - i wrt q? -96*q**3 Let y(r) be the first derivative of r**6/3 - 62*r**5/5 + 13*r**4/4 - 23*r**3/3 + 36*r**2 + 4150. Find the third derivative of y(k) wrt k. 120*k**2 - 1488*k + 78 Find the third derivative of 29*l**2 - 3 + 6 - 12*l - 184366285*l**3 + 184356714*l**3 wrt l. -57426 Suppose -14 = -13*g + 38. Find the first derivative of -3*v**2 - v**g + 16*v**2 - 155 - 7*v**2 + 11*v**2 wrt v. -4*v**3 + 34*v Let d = -408 - -415. What is the third derivative of 2*m**4 - 5*m**4 + 3*m**4 + d*m**5 - 4*m**4 - 109*m**2 wrt m? 420*m**2 - 96*m Let t(r) be the first derivative of 89/3*r**3 + 130*r**2 - 19 + 0*r. What is the second derivative of t(z) wrt z? 178 Let l(c) be the third derivative of -357*c**6/40 + 433*c**3/6 + 27*c**2 - 20*c. Differentiate l(o) wrt o. -3213*o**2 Differentiate 23*q + 198*q**2 + 187*q**2 - 3441 - 35*q - 380*q**2 wrt q. 10*q - 12 Let s = -45 + 49. Let x be 1*-3*(-8)/12. Find the first derivative of s*p**4 + x + 2 - p**4 + 2*p**4 wrt p. 20*p**3 What is the second derivative of 13165*h**5 - 20746*h + 12389*h + 539*h**5 wrt h? 274080*h**3 Let m(k) be the third derivative of k**6/60 + 469*k**5/20 + k**4/24 + 2455*k**3/6 - 433*k**2 - 7*k. Differentiate m(w) with respect to w. 6*w**2 + 2814*w + 1 Let y(n) = 960*n**3 - 24*n**2 - 718*n - 5. Let g(k) = 960*k**3 - 18*k**2 - 716*k - 4. Let z(h) = -4*g(h) + 3*y(h). What is the second derivative of z(m) wrt m? -5760*m Differentiate 26*k - 2*k - 8*k + 74*k - 2329 + 204*k wrt k. 294 What is the third derivative of 13209*t**2 + 561*t**5 - 10582*t**2 + 42*t**5 wrt t? 36180*t**2 Let t(z) be the third derivative of -1509*z**7/70 + 361*z**4/3 - 704*z**2 + 2. Find the second derivative of t(a) wrt a. -54324*a**2 Differentiate -5*b**3 + 7*b**3 - 628 + b**3 + 103*b**3 + 73*b**3 wrt b. 537*b**2 Let r(h) = h**3 + 6*h**2 + 3*h - 8. Let i be r(-5). What is the third derivative of 23*l**i + 5*l**3 + 2*l**5 + l - 18 - l - 24*l**2 wrt l? 120*l**2 + 30 Let r(i) be the first derivative of -5385*i**4/2 - 14*i**3/3 + i**2/2 + 35*i + 6334. What is the third derivative of r(k) wrt k? -64620 Let h(c) be the first derivative of 4*c**3/3 + 193*c**2/2 + 81*c - 208. Let t(a) be the first derivative of h(a). Differentiate t(s) wrt s. 8 Let f(g) be the first derivative of -g**5/5 - 517*g**3/3 - 3*g**2/2 + 86*g + 2250. What is the second derivative of f(a) wrt a? -12*a**2 - 1034 Let v = -599 + 599. Find the third derivative of 2*p**3 + 160*p + v*p**2 - 39*p**3 - 170*p + 5*p**2 wrt p. -222 Let a(w) = 170*w**4 - 3*w**2 + 391*w - 12. Let g(f) = 339*f**4 - 5*f**2 + 781*f - 20. Let m(p) = 5*a(p) - 3*g(p). Find the second derivative of m(c) wrt c. -2004*c**2 Let t(h) = h**2 - 2. Let u be t(2). Let k be -1 + 614/7 - (-72)/252. Find the second derivative of -k + 87 + 12*o**u - 9*o wrt o. 24 Let y(h) be the first derivative of -5*h**6/3 - 46*h**5/5 + 366*h**2 + 3*h + 1039. What is the second derivative of y(j) wrt j? -200*j**3 - 552*j**2 Let g be ((-22)/(-10) + -3)*-5. Suppose -5*h + g*n = 1, -h + 2 - 3 = -n. What is the third derivative of 11*i**2 - 12*i**2 - 7*i**3 - 6*i**h wrt i? -78 Let l(g) be the second derivative of -1/5*g**6 - 4*g + 0*g**4 + 0*g**5 + 0*g**3 + 10 - 135/2*g**2. Differentiate l(b) wrt b. -24*b**3 Let w(b) be the third derivative of -b**4/4 - 13*b**3/6 + 11*b**2. Let i be w(-4). Find the third derivative of -8*d**3 + 2*d**3 - 8*d**2 - i*d**3 wrt d. -102 Find the second derivative of -377*p + 2913*p**2 + 2 + 5245*p**2 + 0 + 862*p**2 + 65*p**2 wrt p. 18170 Let q(x) be the second derivative of 4181*x**6/15 + 2144*x**2 - 6*x + 341. Differentiate q(d) with respect to d. 33448*d**3 Let y = 351 + -343. Find the second derivative of 15*s - 64*s**5 - y*s - 36*s**5 + 51*s + 50*s wrt s. -2000*s**3 What is the third derivative of 33*v**3 - 2*v - 15*v**3 - 653*v**2 - 261*v**4 + 430*v**2 - 838*v**2 wrt v? -6264*v + 108 Let y = 266 + -266. Differentiate -172 - 6*b**4 + 0*b**4 + y*b**3 - b**3 + 41 wrt b. -24*b**3 - 3*b**2 Let r(f) be the first derivative of 95/2*f**2 + 0*f + 0*f**3 + 9*f**5 - 20 - 1/4*f**4. Find the second derivative of r(p) wrt p. 540*p**2 - 6*p Suppose
{ "pile_set_name": "DM Mathematics" }
e (-64)/100*(-2895525)/(-13626). -136 What is 8/(5/(-150)*-15)? 16 Evaluate 47*(-5)/(-235)*((-2)/(-2))/((-7)/7). -1 Evaluate -232*(-5)/30*(-18)/24. -29 Evaluate ((-18)/(-75))/((-138)/(-2300))*(-5)/4. -5 What is (12/(-10))/((-84)/(-165))*240/(-180)? 22/7 Calculate ((-88)/24)/((-1240)/(-1488)). -22/5 (388/(-582))/((-2)/195) 65 Calculate (-11)/(660/(-24))*((-11725)/14)/(-5). 67 Evaluate (137/(-2877))/(((-286)/(-91))/11). -1/6 Calculate 102*(275/(-5))/55*(4/4)/3. -34 What is the value of (-66)/30*(-863630)/14179? 134 What is (4/(-56)*-76)/(18/(-252)*-24)? 19/6 What is (-28*(-16)/(-192))/((-40)/(-24)*(-8)/20)? 7/2 What is (3250/30)/5*384/(-112)*21/(-60)? 26 What is the value of (3520/(-16))/((-664)/(-166))? -55 (-9)/(189/(-10))*25/((-2250)/(-324)) 12/7 What is the value of (-7)/((30*72/3780)/(-2))? 49/2 Evaluate 5/13*(-3676)/18380. -1/13 What is ((-1178)/(-1612))/((-152)/(-96))? 6/13 What is (1*-3)/((-108)/(-16)*(-1150)/(-1035))? -2/5 Calculate ((-189)/(-180))/(10/(360/(-27)))*(-15)/(-6). -7/2 What is the value of -165*(-17)/(-561)*(-11)/(-1)? -55 Calculate (10640/114)/(-70)*(-8652)/112. 103 What is the value of (14/52)/((-10920)/(-1248))? 2/65 Calculate ((-168)/4)/(-7)*(-23)/((-966)/189). 27 What is (-882)/(-160965)*15/(-3)? -2/73 What is -24*(-43)/(-774)*3/92? -1/23 8/(320/25)*1*8/(-20)*-1 1/4 Calculate (-144)/1320*15*1. -18/11 What is the value of 8*(-663)/(-104)*1*(-14)/(-63)? 34/3 Calculate (((-2829)/451)/69)/(2/110). -5 Evaluate (5093/(-15279))/(2/12). -2 What is the value of 16/22*(-75)/(-135)*9/8? 5/11 Evaluate ((54/(-40))/(2178/(-968)))/((-6)/(-40)*2). 2 (-17160)/910*(28/(-2))/(8/(-2)) -66 What is the value of (16/119)/((-140)/(-60)*((-78)/637)/1)? -8/17 Evaluate (-4749)/12664*(-232)/3. 29 Evaluate ((1600/(-75))/8)/((7/105)/(44/(-20))). 88 ((-4)/(-72))/((-377)/4524) -2/3 What is the value of (-1*258)/((-11388)/1898)? 43 What is (-1)/(((3705/(-70))/57)/(1/7))? 2/13 What is the value of -15*(-6)/35*(-6)/12*-7? 9 Calculate (-77)/(-588)*(-140)/2310*(-21)/18. 1/108 (320/2400)/((-9)/(-2160)) 32 ((-486)/(-26649))/(((5/(-35))/1)/((-7)/(-7))) -6/47 Evaluate 1/(-1)*-2*(-330)/1386*-3. 10/7 (1742/8710)/(9/15) 1/3 Evaluate (((-21)/9)/(3941/6756))/(-162). 2/81 What is the value of ((70/(-170))/7)/((44/6)/((-512)/384))? 2/187 Calculate ((-264)/16)/(9/(-3))*(-36)/3. -66 Calculate (-27)/(-53946)*222*(-1)/(1/(-12)). 4/3 What is the value of (-44)/(-77)*110/(-44)*28? -40 Calculate (4/70)/((-7376)/(-4610)). 1/28 Calculate (8/13)/(-85*666/(-1839825)). 20 Calculate (-200)/12*6/60*-15. 25 What is (-16)/2*(-258)/(-36)*216/(-288)? 43 Evaluate (25440/31800)/(6/(-250)*(-12)/(-18)). -50 What is (-6)/28*(-23348)/(-17511)? -2/7 Evaluate 432/252*(-3430)/140. -42 -18*(-22)/(-2244)*153 -27 Calculate ((-6)/12)/(((-41)/(-287))/((60/(-14))/(-1))). -15 Calculate (((-4)/(-6))/(4/(-21)))/(100/(113100/87)). -91/2 Evaluate ((-6042)/(-19133))/(21/(-5852)). -88 What is the value of ((-42)/(-8))/((55/(-66))/(10/3))? -21 Evaluate ((-32)/(-5))/((-12*60/90)/(-40)). 32 Calculate ((-660)/288)/(-11)*2/(30/(-27)). -3/8 ((70/(-21))/((-21)/9))/((-820)/(-205)) 5/14 What is the value of ((-4)/(180/(-81)))/(((-6)/2)/15*-4)? 9/4 What is (-270)/(-405)*(-553)/474? -7/9 Calculate 4*(-155)/5208*2/(-4)*(-30)/75. -1/42 ((-44)/(-26))/((-8)/(-52)) 11 What is the value of (6/(-9))/(74/(131868/45)*8/(-10))? 33 Calculate 27*-1*((-10)/24)/(25/(-20)). -9 What is the value of (-9*10/(-8))/((1/28)/((-60)/(-252)))? 75 Calculate (((-550)/(-75))/((-4)/3))/((-1035)/(-10350)). -55 What is the value of (2067/(-689))/((-26)/(-2))? -3/13 What is the value of (-1920)/(20640/172)*10/16? -10 What is (-23)/(920/(-5310))*(-556)/1251? -59 What is the value of (2/(280/21))/((63/126)/((-4)/6))? -1/5 What is (2*(-3)/27)/((-23)/(291042/148))? 19 What is (-8)/((6*(-6)/189)/((-378)/567))? -28 What is 3392/(-11872)*(567/(-3))/3? 18 What is the value of ((3/10)/(258/430))/((-51)/4386)? -43 What is ((-14)/(-4))/((-51)/54060*53)? -70 Evaluate (((-11)/33*-3)/((-2)/4))/((-52)/2210). 85 What is the value of ((-7)/(35/(-45)))/((-11064)/151208)? -123 What is the value of (-10*(-20)/(-400)*0/5)/4? 0 What is 6/26*(-11596)/10704? -1/4 What is the value of (5/65)/((-35)/25935)? -57 What is the value of (-489)/1141*(-2464)/24? 44 What is the value of ((-175404)/(-13684))/(6/(-44))? -94 Calculate ((-393)/(-5109))/(25/3185)*(-6)/(-7). 42/5 What is the value of ((6/(-45))/(14/(-35)*-2))/((-7)/(-490))? -35/3 What is the value of ((-5)/((-30)/(-392)))/((-99234)/(-148851))? -98 Evaluate ((-772)/579)/(276/(-36)). 4/23 ((-8)/(-4))/(((-15)/3510)/(2/(-8))) 117 What is ((1/5)/((-4)/(-5)))/((-5930)/66416)? -14/5 What is (8*-11*(-27)/(-5940))/(20/(-8))? 4/25 Calculate ((-156)/10)/1*(-1085)/48174*-74. -26 216/324*((-297)/(-18))/(-11)*(-158)/(-2) -79 What is the value of ((-147)/(-189))/((-20)/(-1440)*-8)? -7 What is ((-259)/185)/(847/(-2783))? 23/5 Evaluate 2/(-8)*(-107)/((-40339)/(-174))*39. 9/2 What is the value of (14/(-102))/((-95137)/(-81546))? -2/17 What is the value of (152/380)/((20/1750*10)/(-14))? -49 ((-6)/10*118/177)/(((-2610)/(-25))/(-3)) 1/87 Evaluate (3/4)/((((-8037)/(-94))/57)/(228/(-2))). -57 -1*((-53)/6)/((-22)/33)*-4 53 79443/(-83226)*8/(-42) 2/11 What is the value of (-231)/18*17040/3976? -55 What is (24/132)/((-306)/(-187))*-87? -29/3 What is ((56/(-588))/((-80)/(-84)))/(18/(-40))? 2/9 What is (42/(-140)*-5)/(((-1)/106)/((-1)/(-3)))? -53 3/125*((-120)/72)/(2/6) -3/25 (((-207)/345)/(45/25))/((-6)/(-27)) -3/2 What is ((-2)/5)/((1435752/(-1020))/(-153))? -1/23 Calculate ((-10)/4)/((-9)/(29304/(-220))). -37 34/(-10)*403/((-6851)/(-170)) -34 Calculate ((-658465)/(-18337))/((-20)/44). -79 -4*-2*377/(-1664)*16 -29 (-75)/(-250)*-10*(-4160)/240 52 Calculate -90*(-209)/(-114)*12/(-44). 45 ((-580)/58)/((119/17)/(-21)) 30 Calculate (4/((-51)/((-5508)/40)))/(3/((-90)/16)). -81/4 ((168/(-13536))/(294/(-224)))/((-12)/(-9)) 1/141 What is (9/5)/(14466/(-313430))? -39 What is (200/20)/((-420)/252)? -6 Calculate (2/(-15))/((-67)/(-45225)*-9). 10 Evaluate 4*-1*3*(-70)/(-70)*1/(-2). 6 ((-63)/6)/((7/84*-6)/1) 21 Evaluate (778/(-11670))/((-20)/(-6)). -1/50 What is the value of -4*((-2030)/(-8584))/(-35)? 1/37 What is the value of 4248/1062*(2/(-5))/(-2)? 4/5 What is the value of ((2/(4*-1))/(-8))/(((-9384)/(-102))/(-552))? -3/8 What is the value of (1/2)/(2/4)*(3286/53)/(-5146)? -1/83 ((-9)/(-2))/((-7)/48*36) -6/7 6/(-8)*-1*(-17)/((-2142)/(-28))*16 -8/3 (38475/1260)/95*2 9/14 (-1130085)/41094*-1*2 55 What is 18*1722/(-984)*(-12)/(-14)? -27 Calculate (-3)/(-18)*84*104/(-832). -7/4 (-28)/15*19/133*15/21*-15 20/7 Evaluate 252/(-81)*(-60)/(-1120)*-7. 7/6 Evaluate (-240)/(-5940)*11*3/22*12. 8/11 Calculate 26/((-52)/(-42))*15/(-9). -35 What is the value of (-117)/(-5850)*8/(-14)? -2/175 What is ((-11)/33)/((-2)/(-2))*((-1782)/(-3))/27? -22/3 Evaluate (4*2/(-16))/((-44)/2728). 31 Calculate (-18189)/141*-3*2/(-18). -43 Calculate (2/(-12))/(((9/15)/(234/(-260)))/6). 3/2 ((-13)/(-260))/(1063/616540) 29 What is the value of ((70/(-280))/((-6)/32))/(209/10773*7)? 108/11 64/(-16)*(-11760)/672 70 Evaluate ((-130)/40)/((1/(60/(-8)))/(240/(-150))). -39 Evaluate (-4)/1*20/6*((-840)/8)/(-35). -40 1*6/(-13)*338*382/(-19864) 3 Calculate (-2)/(-4)*(((-36)/70)/(-3))/(339/2260). 4/7 What is the value of 1408/(-24)*(-756)/2772? 16 What is the value of 46088/(-128388)*26/(-7)? 4/3 Evaluate (-22*370/6512)/(2/(-8)). 5 ((-141)/(-6))/(35532/7560) 5 What is (2448/(-1368))/(4/76)? -34 What is the value of (1/((-10)/6))/((-44964)/131145)*-24? -42 Evaluate (((-12)/(-15))/(-6*364/1560))/((-92)/(-14)). -2/23 (-1)/((51/(-2244))/((-1)/(-4))) 11 Calculate 96/(-132)*((-33)/(-3))/((100/5)/(-20)). 8 1/1*1904/5376*12 17/4 What is ((-552)/45*(-12)/(-16))/((-14)/7*-1)? -23/5 ((-83)/(-996))/((-32)/(-768)) 2 What is (-35*(-1722)/735)/(1/1)? 82 Calculate 231/1155*(-15)/6*-22. 11 Evaluate (-21)/(-6)*(-1)/(-9)*11*(-960)/(-1232). 10/3 Calculate (-4)/(1173/(-5244)*-38). -8/17 What is 7/94*19096/(-33418)? -2/47 What is the value of ((-630)/3087)/((-75)/420)*-1? -8/7 Calculate 15*1611/2148*44/9. 55 What is 483/(-322)*4/15*3*(-43260)/(-504)? -103 Evaluate ((8/(-966))/(8/72))/(-38*(-45)/5985). -6/23 (15598/54593)/(4/54*(-9)/(-12)) 36/7 Evaluate ((-24)/(-81)*(-12)/(-8)*6)/(17/153). 24 Evaluate (((-35)/(-20))/
{ "pile_set_name": "DM Mathematics" }
ve decimal places? 0.0005 Round -0.00000091803 to 7 dps. -0.0000009 What is 0.4213 rounded to one dp? 0.4 What is 0.71558 rounded to 3 decimal places? 0.716 Round -0.001601 to four decimal places. -0.0016 What is -84.49 rounded to the nearest 10? -80 What is 0.0845 rounded to three decimal places? 0.085 What is 86.34 rounded to zero decimal places? 86 What is -0.0003176 rounded to five decimal places? -0.00032 Round -21.5902 to one decimal place. -21.6 Round 7.2589 to one dp. 7.3 What is -9370000 rounded to the nearest one hundred thousand? -9400000 What is -234010 rounded to the nearest 10000? -230000 What is 32010 rounded to the nearest ten thousand? 30000 What is -50298400 rounded to the nearest 100000? -50300000 Round -0.1281 to 3 dps. -0.128 Round 929.23 to the nearest 10. 930 Round 0.000008805 to 6 dps. 0.000009 What is -0.00227 rounded to 5 dps? -0.00227 Round 327 to the nearest 1000. 0 What is 0.0405 rounded to two decimal places? 0.04 Round 514910 to the nearest one thousand. 515000 What is -113300 rounded to the nearest 10000? -110000 What is 8.672 rounded to 1 decimal place? 8.7 What is 57.17 rounded to the nearest 10? 60 What is 1.422 rounded to one dp? 1.4 Round 4690.7 to the nearest one hundred. 4700 Round -0.0015159 to 4 dps. -0.0015 Round 0.014982 to four dps. 0.015 What is 0.00014654 rounded to 6 decimal places? 0.000147 What is 563000 rounded to the nearest 100000? 600000 Round 1780 to the nearest 1000. 2000 Round 12.317 to the nearest integer. 12 What is -0.302659 rounded to 3 decimal places? -0.303 Round -0.00002927 to 5 dps. -0.00003 Round 0.00009389 to five decimal places. 0.00009 Round -0.0000050406 to six decimal places. -0.000005 Round 180560 to the nearest 10000. 180000 What is 0.000009102 rounded to seven decimal places? 0.0000091 What is 0.0494 rounded to 2 dps? 0.05 Round -20760000 to the nearest one million. -21000000 What is 8.626 rounded to the nearest integer? 9 What is -6583600 rounded to the nearest one hundred thousand? -6600000 Round -0.000001974 to six dps. -0.000002 Round -0.8846 to 2 dps. -0.88 Round -232.9 to the nearest ten. -230 What is -0.12325 rounded to three decimal places? -0.123 Round -0.17713 to three decimal places. -0.177 What is -1583100 rounded to the nearest one hundred thousand? -1600000 Round -32198.3 to the nearest one hundred. -32200 Round 920 to the nearest one hundred. 900 What is 561300 rounded to the nearest ten thousand? 560000 What is 205.975 rounded to the nearest integer? 206 What is 43.786 rounded to 1 decimal place? 43.8 What is 1342.8 rounded to the nearest one hundred? 1300 What is 0.00198693 rounded to five dps? 0.00199 What is -0.0063936 rounded to 3 decimal places? -0.006 Round -682.2 to the nearest one hundred. -700 Round 0.0000012039 to 6 dps. 0.000001 Round -0.000001952 to six decimal places. -0.000002 Round 0.0018562 to 5 decimal places. 0.00186 What is 0.981 rounded to 1 dp? 1 Round -60180 to the nearest one thousand. -60000 What is 26888 rounded to the nearest 1000? 27000 What is -1222000 rounded to the nearest 10000? -1220000 Round 2517000 to the nearest one hundred thousand. 2500000 Round -6506 to the nearest 1000. -7000 What is 0.000104191 rounded to 7 decimal places? 0.0001042 What is -4890000 rounded to the nearest one hundred thousand? -4900000 Round -5.9022 to one dp. -5.9 What is -0.0000001036 rounded to 7 decimal places? -0.0000001 What is 0.00000004407 rounded to 7 decimal places? 0 Round 204.6 to the nearest 10. 200 Round -82026 to the nearest ten thousand. -80000 What is -4.21 rounded to 1 decimal place? -4.2 What is -0.00000528 rounded to 6 dps? -0.000005 What is -0.0000110406 rounded to seven dps? -0.000011 Round -1115.6 to the nearest 10. -1120 What is -22474000 rounded to the nearest one million? -22000000 What is 31944 rounded to the nearest one hundred? 31900 What is 7.942 rounded to the nearest ten? 10 What is 0.00017775 rounded to 5 dps? 0.00018 Round 31299000 to the nearest one million. 31000000 What is 0.90813 rounded to two decimal places? 0.91 What is 354.316 rounded to the nearest ten? 350 Round 791.48 to zero dps. 791 What is 116 rounded to the nearest 100? 100 What is 0.000157162 rounded to five decimal places? 0.00016 Round 46425200 to the nearest 1000000. 46000000 What is 2.352 rounded to 1 dp? 2.4 What is 464.19 rounded to 0 decimal places? 464 What is 4694000 rounded to the nearest one hundred thousand? 4700000 Round 1479000 to the nearest one million. 1000000 Round -451.9 to the nearest 1000. 0 What is 0.0045098 rounded to 4 dps? 0.0045 What is -2617.18 rounded to the nearest 100? -2600 What is 0.2321 rounded to three decimal places? 0.232 What is 70730 rounded to the nearest one thousand? 71000 What is 437020 rounded to the nearest ten thousand? 440000 Round -2304000 to the nearest ten thousand. -2300000 Round -0.0000794 to six dps. -0.000079 Round -0.2509 to two decimal places. -0.25 Round -0.02678 to 3 dps. -0.027 Round -0.005318 to four decimal places. -0.0053 What is 7.56 rounded to zero decimal places? 8 What is 4.2871 rounded to zero decimal places? 4 Round 29200000 to the nearest one million. 29000000 What is 0.12031 rounded to two decimal places? 0.12 Round 0.000029504 to 6 decimal places. 0.00003 What is 0.13192 rounded to two dps? 0.13 Round 0.000000859929 to 7 decimal places. 0.0000009 What is -203898000 rounded to the nearest one million? -204000000 Round -0.008371 to 4 dps. -0.0084 Round -569.12 to the nearest 10. -570 Round 103759000 to the nearest one million. 104000000 What is 1.211 rounded to two dps? 1.21 What is -0.00049 rounded to 4 dps? -0.0005 What is 0.0357 rounded to one dp? 0 What is 595.75 rounded to the nearest 10? 600 Round 84497 to the nearest 10000. 80000 What is 0.00008469 rounded to 5 decimal places? 0.00008 What is -1287 rounded to the nearest ten? -1290 Round 138.287 to the nearest 100. 100 What is 0.000000289 rounded to seven decimal places? 0.0000003 Round 0.000061253 to 7 dps. 0.0000613 What is 48995000 rounded to the nearest one million? 49000000 What is 8483200 rounded to the nearest 100000? 8500000 Round 15.1056 to one decimal place. 15.1 Round 605700 to the nearest one hundred thousand. 600000 What is 0.0018534 rounded to four decimal places? 0.0019 Round 5.7204 to 2 decimal places. 5.72 What is -18933 rounded to the nearest 10000? -20000 What is -1.4758 rounded to two dps? -1.48 Round 125.065 to the nearest 10. 130 Round -0.0000746 to five dps. -0.00007 Round -0.000000629 to 7 decimal places. -0.0000006 What is 0.010002 rounded to three dps? 0.01 What is -0.001193 rounded to four decimal places? -0.0012 What is 22399000 rounded to the nearest 1000000? 22000000 Round 0.005225 to four decimal places. 0.0052 Round -141.56 to the nearest 10. -140 What is 0.1287 rounded to 3 dps? 0.129 Round -2952170 to the nearest one hundred thousand. -3000000 Round -0.25503 to three dps. -0.255 Round 1.1778 to 2 decimal places. 1.18 What is 11.801 rounded to one decimal place? 11.8 Round 10670000 to the nearest 1000000. 11000000 What is 0.058901 rounded to three decimal places? 0.059 What is -40650 rounded to the nearest one thousand? -41000 Round 144532 to the nearest one thousand. 145000 Round 17080000 to the nearest one million. 17000000 What is -0.00324 rounded to four dps? -0.0032 What is -0.0009355 rounded to four dps? -0.0009 What is 0.0008869 rounded to 5 decimal places? 0.00089 What is 98480000 rounded to the nearest one million? 98000000 Round -0.9513 to 2 decimal places. -0.95 What is 33037 rounded to the nearest 100? 33000 Round -0.21771 to 3 dps. -0.218 Round -8.555 to 1 decimal place. -8.6 Round -0.0000058186 to seven decimal places. -0.0000058 Round -5.1729 to zero dps. -5 What is -0.0091317 rounded to 3 decimal places? -0.009 What is 0.0882 rounded to 3 dps? 0.088 Round 1386450 to the nearest one hundred thousand. 1400000 What is -0.000003977 rounded to six decimal places? -0.000004 Round -5.4664 to 0 decimal places. -5 Round 5.755 to the nearest integer. 6 What is 26 rounded to the nearest 10? 30 Round 0.000361 to 6 decimal places. 0.000361 What is -1591000 rounded to the nearest 10000? -1590000 Round -828.2 to the nearest ten. -830 What is -0.00000682 rounded to six dps? -0.000007 Round
{ "pile_set_name": "DM Mathematics" }
a**2 + 580*a + 4 Find the first derivative of -412*f**3 + 2452*f**2 - 2417852. -1236*f**2 + 4904*f Differentiate 2*h*n**3 + 107274*h*n**2 + h*n - 4565282*n**3 wrt h. 2*n**3 + 107274*n**2 + n Find the third derivative of 290*c*i**2*p**3 - c*i**2*p**2 - 2*c*i**2 - 14*c*i*p**3 - 403*c*p - 51*p**2 wrt p. 1740*c*i**2 - 84*c*i Find the third derivative of -26298*a**5 - 5*a**3 + 161245*a**2. -1577880*a**2 - 30 Find the third derivative of 42*r**6 - 282*r**5 + 342*r**2 + 2*r + 11. 5040*r**3 - 16920*r**2 What is the second derivative of -9*d**5 + 3008*d**3 - 224257*d wrt d? -180*d**3 + 18048*d What is the second derivative of -2*a**4 - 53310*a**2 - 112484*a wrt a? -24*a**2 - 106620 What is the second derivative of -1475516*s**5 - 20*s - 25989 wrt s? -29510320*s**3 What is the third derivative of 63986*r**2*s*z**3 + 2*r**2*s*z**2 - 12401*r**2*s - r**2*z**2 - 2*r*s*z**3 + r*s - 2*s wrt z? 383916*r**2*s - 12*r*s What is the third derivative of -2*d**2*l**3 + 102*d**2*l**2 + 4*d**2*l - 4823*d*l**4 - 24*d wrt l? -12*d**2 - 115752*d*l Find the third derivative of -40216*p**5 - 2723*p**2 - 2. -2412960*p**2 What is the third derivative of 2*j**6 + 3*j**4 + 30850*j**3 + 18*j**2 - 11*j - 154? 240*j**3 + 72*j + 185100 Find the third derivative of 4069*c**3*o + 2*c**3 - 4*c**2*o + 125*c**2 + c*o wrt c. 24414*o + 12 What is the derivative of -22*q**3 + 20114*q**2 + 3674517? -66*q**2 + 40228*q Find the third derivative of 23336*o**3 - 9*o**2 - 455*o - 2. 140016 Find the third derivative of -f**6 - 223*f**4 - 15*f**3 - 7*f**2 - 143*f - 45. -120*f**3 - 5352*f - 90 Find the third derivative of -1920304*l*w**4 - 16*l*w**2 - 6*l*w + w**2 - 91*w wrt w. -46087296*l*w Differentiate -3*h**3 - 3*h**2 - 293*h - 6846. -9*h**2 - 6*h - 293 Differentiate 317748*g**2 + 1400206 wrt g. 635496*g What is the third derivative of -u**2*x**3 + 275159*u**2*x**2 - 6*u**2 - 94911*u*x**3 wrt x? -6*u**2 - 569466*u Differentiate -11047*i**2 - i + 32724 wrt i. -22094*i - 1 Differentiate g*o**3 - 18241*g - 11*o**3 - 457*o with respect to g. o**3 - 18241 What is the first derivative of -2*c**4 - 2250*c**2 - 6*c - 74657 wrt c? -8*c**3 - 4500*c - 6 Find the second derivative of 63604*s**4 - 111381*s. 763248*s**2 What is the first derivative of -117*f*k*m - 570998*f*k + 2*f*m + 3*k*m + m wrt m? -117*f*k + 2*f + 3*k + 1 What is the second derivative of -49461*a**2 + 42571*a wrt a? -98922 What is the second derivative of 2*b**3*t**3 + 20015*b**3*t + 2*b**3 - 2*b**2*t - 2*b*t + 255863*t**3 wrt t? 12*b**3*t + 1535178*t Find the second derivative of 9788*b**3*c**2*z**3 - b**3*c*z**3 + 43*b**3 + 2*b*c*z**2 - 124*b*z**3 - 4*c**2*z**3 wrt c. 19576*b**3*z**3 - 8*z**3 What is the second derivative of -1825*a**3*b**3 - 9*a**2*b**3 - a*b + 2*b**3 + 61*b**2 + 28 wrt a? -10950*a*b**3 - 18*b**3 What is the derivative of f**4 - 8072*f*w + 59167*w + 1 wrt f? 4*f**3 - 8072*w Find the third derivative of 3030332*g**4 - 8*g**2 - 189804. 72727968*g Find the third derivative of -3*r**3*x**2 - r**3*x - 49756*r**3 + r**2*x + 3684*r**2 - x**2 - 3*x wrt r. -18*x**2 - 6*x - 298536 Find the second derivative of -119042*o**2 - 3675*o. -238084 Find the third derivative of -3884430*r**3 - 34345*r**2 - 4*r + 4 wrt r. -23306580 What is the second derivative of -3*q**3*v**5 - 600*q**3*v**2 + 2*q**3*v + 2*q**2*v + 142 wrt v? -60*q**3*v**3 - 1200*q**3 What is the second derivative of -57866*c**5*i**3 - 3068*c*i**2 - 5*i**3 wrt c? -1157320*c**3*i**3 Find the second derivative of -112194*n**2 - 7*n + 7906. -224388 Find the second derivative of -228531*k**5 - k**4 - 2*k**2 - 358871*k wrt k. -4570620*k**3 - 12*k**2 - 4 Find the second derivative of 5005*i**2*n*t**2 - 2*i**2*t - 14*i*n**3 - 59*n**3*t**2 + 42*n**3*t - 6*n**3 + 4*n**2*t wrt t. 10010*i**2*n - 118*n**3 What is the third derivative of h**5 - 3*h**4 + 19440*h**3 + 191399*h**2 wrt h? 60*h**2 - 72*h + 116640 Find the second derivative of -14029*m**2 + 103590*m wrt m. -28058 Find the third derivative of -85967*m**4 - 5728*m**2 + 2*m. -2063208*m What is the second derivative of -37*y**5 + 129*y**3 + 2*y**2 - 10*y + 76 wrt y? -740*y**3 + 774*y + 4 Find the second derivative of -8613*s**3 + 3*s**2 + 14961*s. -51678*s + 6 Find the first derivative of -36*r**4*t**3 - 236*r**3*t**3 - 3*t**3 + 6281*t wrt r. -144*r**3*t**3 - 708*r**2*t**3 What is the second derivative of 145633*g**2 + 76590*g? 291266 What is the second derivative of 1785471*j**2 + 2418415*j? 3570942 Differentiate -679217*m**3 - m - 374595. -2037651*m**2 - 1 Find the second derivative of -276910*z**2 - 12*z - 3114 wrt z. -553820 What is the second derivative of -1201863*o**2 + 518857*o + 1? -2403726 Find the first derivative of 70*n*v**2 + 3*n*v - 106*n - 2*v**2 - 2483*v + 16 wrt n. 70*v**2 + 3*v - 106 Find the first derivative of -3091*a**3*h**2*n**3 + a**3*n*v - a**2*h**2*n**3 - a*h**2*n**2 - 4*a*h**2*v + 77*a*n**3*v + 2*n**3 wrt v. a**3*n - 4*a*h**2 + 77*a*n**3 Differentiate -2*f**3*m*q - 65*f**3*q**3 - f**2*q**3 + 6*f**2*q**2 + 72*m*q**3 - 17*m*q**2 + q**3 wrt m. -2*f**3*q + 72*q**3 - 17*q**2 Find the third derivative of -4*l*s**4 - 3*l*s**3 + 1326*l*s**2 - l*s + s**4 + 7*s**3 wrt s. -96*l*s - 18*l + 24*s + 42 What is the third derivative of -557096*d**5 - 5463*d**2 - d + 129 wrt d? -33425760*d**2 What is the first derivative of -2818*g*z**3 - 124*g*z**2 - 4286*z**3 - 83 wrt g? -2818*z**3 - 124*z**2 Find the second derivative of -107588*o**2 - 13283*o wrt o. -215176 Find the third derivative of -1123639*l**6 + 22*l**2 + 25438*l wrt l. -134836680*l**3 Find the third derivative of -46112*l**2*m**3 + 141*l**2*m**2 - 22*l**2*m - 3*l*m wrt m. -276672*l**2 What is the second derivative of 33*s**4 - 2*s**3 - 2936*s**2 - 1052*s - 29 wrt s? 396*s**2 - 12*s - 5872 What is the derivative of 2829*y**3 - 2*y**2 + 3*y - 213889? 8487*y**2 - 4*y + 3 Find the second derivative of 9024*q*r**2 + 177593*q*r wrt r. 18048*q Differentiate -d**2*f - 1435715*d**2 - 2*d*f - 53828*f wrt f. -d**2 - 2*d - 53828 Find the first derivative of 37816*d**3*n**3 + d*n**3 + 2*n**3 - 5*n**2 + 4368*n wrt d. 113448*d**2*n**3 + n**3 What is the second derivative of -55*n**4 - 16184*n**2 - 3431257*n? -660*n**2 - 32368 Find the third derivative of -361154*k**5 + 593690*k**2 wrt k. -21669240*k**2 Differentiate 5*u**2 + 5713*u - 68429 with respect to u. 10*u + 5713 Find the first derivative of 173955*z - 16468 wrt z. 173955 Differentiate 192215*m + 235171. 192215 Differentiate g*t*z**2 + g*t*z - 8103*g*t - 15*g*z - 1553*t*z**2 + 53*t with respect to g. t*z**2 + t*z - 8103*t - 15*z What is the second derivative of 1085*m**3*z**3 + 3*m**3*z - 4*m**2*z - m - 6*z**3 + 1065*z wrt z? 6510*m**3*z - 36*z What is the second derivative of -1435548*j**2 + 1928189*j? -2871096 Differentiate 440*a*c**2 - 160*a - 30*c**2 - 2*c + 577 with respect to c. 880*a*c - 60*c - 2 What is the second derivative of 25488*f**2*h**2 + 165*f**2*h + 4*h**2 - 1010*h wrt h? 50976*f**2 + 8 Find the second derivative of 29071*u**2 - 123419*u. 58142 Find the second derivative of -1366444*p*u**5 + 6*p*u + 120*p + 50*u wrt u. -27328880*p*u**3 What is the second derivative of 1368*s**3 + 8*s**2 + 15389*s wrt s? 8208*s + 16 Find the third derivative of -740894*h**3 + 592424*h**2. -4445364 What is the third derivative of -33036*c**2*n**3 + 85778*c**2*n**2 + c**2 - 2*c*n**3 - 2*c*n**2 - 3*n**3 wrt n? -198216*c**2 - 12*c - 18 Find the first derivative of 132164*c*s + 195948*c wrt s. 132164*c Find the second derivative of -91904*d**3 + 162*d + 33. -551424*d What is the third derivative of 2206*h**4 + 74958*h**2 wrt h? 52944*h What is the third derivative of -6475*i**6*n + 5*i**4*n + i**2*n + 17*i*n - 12*i + 2*n wrt i? -777000*i**3*n + 120*i*n What is the third derivative of -3*y**3*z**3 + 1148*y**3*z**2 - 63*y**3*z + y**2*z**3 + 8*y**2*z + 150*y*z**3 + 8*y*z**2 - 9*y*z wrt y? -18*z**3 + 6888*z**2 - 378*z What is the second derivative of -1507*k**3 - 14326*k? -9042*k What is the third derivative of -98439*y**6 + 64036*y**2 wrt y? -11812680*y**3 Find the third derivative of 162*k**4 + 889*k**3 - 676322*k**2 wrt k. 3888*k + 5334 Find the first derivative of 132125*h**2*r**2 + 22*r**2 + 6642*r + 2 wrt h. 264250*h*r**2 Find the third derivative of -5*s**2*z**3 + 2*s**2*z**2 + 3*s**2 + 2*s*z**3 - 358*z**3 - 30
{ "pile_set_name": "DM Mathematics" }
composite number? True Let k be (1 - 0)*(-1 - 2). Let f(z) = 6*z**2 - 3*z + 2. Let n(w) = 12*w**2 - 7*w + 5. Let b(l) = k*n(l) + 7*f(l). Is b(-3) a prime number? True Let w be 1 - 0 - (-168 - -3). Let q = -109 + w. Suppose -m = -2*p + q, -m = 2*p - 3*m - 52. Is p a composite number? False Let a = -1888 - -3325. Is a composite? True Let m be (-2)/(-4)*1*-8. Let t = m - -3. Is t/(2 + (-23)/11) composite? False Let r(z) be the first derivative of 5*z**4/4 + z**3/6 + z**2/2 + 2. Let k(q) be the second derivative of r(q). Is k(1) a prime number? True Suppose 1539 = 4*j + 527. Is j prime? False Let t be -5 + 352 - (2 - 3). Suppose -4*a + 0*a = -t. Is a a prime number? False Let w(m) = -4*m**3 - 2*m**2 - 2*m - 1. Let y be w(-1). Suppose j = -y*j + 80. Is j - 3*(-3)/(-9) composite? False Let n(v) = 13*v. Is n(1) composite? False Let k(u) be the second derivative of 7*u**5/20 - u**3/6 + u. Is k(1) a composite number? True Let i = -717 - -1508. Is i a composite number? True Let l = 11 + -9. Suppose -7*w + 395 = -l*w. Is w composite? False Suppose 0*b + 12 = 4*b. Suppose -3 = -0*f - b*f. Let z = f - -30. Is z a prime number? True Suppose 33708 = 4*f + 8*f. Is f prime? False Let a(v) = -2*v**2 - 8*v - 3. Let m(l) = -7*l - 3. Let z(g) = g**2 + g. Let k(x) = -m(x) + 2*z(x). Let n(f) = -7*a(f) - 6*k(f). Is n(-2) prime? True Suppose j = o - 6, 8*o + j - 24 = 3*o. Suppose -v - 403 = -3*w, o*w = v - 85 + 754. Is w composite? True Let i(f) be the second derivative of f**4/2 + f**3/2 + 3*f**2/2 - 3*f. Is i(-2) prime? False Suppose 502 = w + 2*f - 7*f, -4*w + 2008 = 2*f. Is w a prime number? False Suppose 0 = 2*z - 3*o - 293, 0 = z + 3*o - 119 - 23. Is z composite? True Let f(a) = -9 + 9 - a**2. Let d(g) = -7*g**2 - 4*g - 3. Let p(v) = -d(v) - 3*f(v). Is p(-2) prime? False Suppose 5*j = 3*k + 2*k + 2685, 2*k + 1076 = 3*j. Let l = 229 + k. Is (-2)/6*l/3 composite? True Let b(d) = 6*d**3 - 2*d**2 - d + 1. Let z(t) = t**2 - t + 2. Let s be z(0). Is b(s) composite? True Suppose -2*r + 4*c - 12 = -36, -2*r + c = -12. Suppose r*x - 2*x - 232 = -2*k, 4*k - 461 = -x. Is k composite? True Is (2/6)/((-1)/(-5847)) a prime number? True Let b(x) = 4*x**2 - 2*x**2 + 7 - 3*x**2 - 4*x. Let o be b(-5). Suppose s + p = 33, 5*s - 6*p - 201 = -o*p. Is s prime? True Suppose 3*a - 23 = -4*z, 0 = -0*a - 3*a - 2*z + 25. Suppose 4*v = 7*v - a. Suppose 2*q + 0*y - 153 = -y, 3*q = -v*y + 222. Is q a prime number? True Suppose 0*j + 5 = 3*j + 2*g, 2*j + 4*g + 10 = 0. Is 10/25*j*89 prime? False Suppose 0 = -4*g + 8, 2*l - 3*l + 2*g = -469. Is l a prime number? False Suppose -20 = 3*l + 2*l, y + 2 = -l. Let v(n) = 18*n + 29*n + y*n. Is v(1) prime? False Let n(k) = 5*k**2 + 3*k + 2*k**2 - 5 - 5*k**2. Is n(6) composite? True Let d(q) = -q + 3. Let n be (1 - (2 + -1))/(-1). Let z be d(n). Is z*-1*(-149)/3 a composite number? False Suppose -1525 = -3*r + 12215. Suppose -3*l + r = l. Is l composite? True Let h be (-3930)/(-4) - (-2)/4. Suppose -h = -4*j + 3*u, -u - 469 - 24 = -2*j. Is j/(-12)*3/(-2) composite? False Let u be ((-16)/3)/((-2)/183). Suppose -4*x + 5*f = -0*x - u, -3*x - 3*f = -393. Is x a prime number? True Let k(u) = 3*u**2 - 13*u + 9. Let a = -11 - -19. Is k(a) prime? True Suppose 5 = -4*v - v. Is v*(2 + -12 + -3) a composite number? False Let m = -263 - -378. Is m prime? False Let c(x) = 2*x**2 + 3*x - 40. Is c(-17) prime? True Is (-4 - -3)/6 - 5030/(-12) a prime number? True Suppose 0 = -13*l + 11129 + 8930. Is l a prime number? True Let a(c) = -c**2 + 203. Is a(0) prime? False Let l(t) = -2*t + 10. Let h be l(9). Let g be (-6)/(-2) - 8/h. Is (3 + (-47)/(-4))*g prime? True Suppose -36*q + 34*q + 40 = 0. Suppose -n + 4*j = n - q, -3*n - j + 44 = 0. Is n a composite number? True Let c(k) = k**3 + 4*k**2 - 6*k. Let j be c(-5). Let s be 62 - (1*-2 - -4). Suppose o - j*o - 5*q + 61 = 0, 3*o = q + s. Is o a prime number? True Suppose 5*b = 0, 2*b - 1 = 3*i - 7. Is i prime? True Suppose 2*b = -b - 33. Let q = b + 15. Suppose 5*c - 18 = v, -10 = -q*c + v + 2*v. Is c a composite number? True Suppose 84 = -s + 3*s. Suppose 3*a = s + 3. Is a prime? False Let u(j) = -2*j**2 - j - 1. Let y be u(-1). Let x be ((-41)/2)/(1/y). Suppose 100 = 3*r - x. Is r prime? True Suppose 5*n = -2*u + 1392, -20 + 1430 = 2*u - 4*n. Is u a composite number? False Let x(r) = -6 + 14*r**3 + 7 + 3*r**2 - 4*r**3. Let d be x(3). Suppose 0 = -5*l - 113 + d. Is l composite? False Let s = 20412 - 455. Is s a composite number? True Let p(j) = j**3 + 6*j**2 + 6*j + 1. Let o be p(-5). Let c be (5 + o)/((-1)/(-273)). Let n = -190 + c. Is n a composite number? False Let x = -686 + 399. Let d = x - -478. Is d a composite number? False Is (-6)/(5/(1335/(-6))) composite? True Let u(h) = 2*h + 2. Let p be u(-5). Let j be ((-317)/4)/((-2)/p). Let n = -224 - j. Is n prime? False Let v = 27 + 62. Suppose 0 = 5*g + 4*w - 81, 5*g - 7*w = -3*w + v. Is g - (2*-1 - -4) a composite number? True Suppose 3*f = -m + 2, 5*f + 0*m + 2*m = 4. Let w = -2 + f. Is 0 + 3 + w - -5 composite? True Suppose 19 = b - 89. Let r = b - 11. Is r composite? False Let d(i) = -4*i + 3*i - 8*i - 3. Is d(-6) composite? True Let x be (-2)/2 - 10/(-2). Suppose x*c - 47 = f, 5*c - 6 = 19. Let a = f - -50. Is a composite? False Suppose 3*m = 4*m - 51. Let x = m + 20. Is x prime? True Suppose 11*r = 557 + 20992. Is r composite? True Suppose 0 = -5*f + 15, -2*b - 3*f + 6*f = -105. Let h be ((-18)/(-24))/((-9)/(-24)). Suppose -a + b = h*a. Is a prime? True Suppose u = -u + 198. Let r = u + -66. Is r composite? True Suppose -5*k = -4*c + 1, 2*k = 3*c - 2*k. Suppose 74 = c*j - 110. Is j a composite number? True Suppose 0 = 5*a - 35 - 240. Is a prime? False Let p be 8/3 + 6/(-9). Suppose 4*r + p*n - 19 = -n, 21 = 4*r + 5*n. Let u(q) = -q**3 + 4*q**2 + q - 1. Is u(r) composite? False Is 973/5 - 42/70 composite? True Let p(j) = j**3 - 6*j**2 + 11. Is p(9) a composite number? True Suppose 4*q + 5*s - 1 - 2 = 0, s - 2 = -q. Let g be 0 - (0 - q) - 2. Let w(y) = -y**3 + 7*y**2 - 2*y - 5. Is w(g) a composite number? True Let z(d) = -d**2 + 8*d + 7. Let x be z(7). Suppose q + 0 - 5 = 0. Suppose -b = -x - q. Is b composite? False Let d(a) = a**3 - 2*a**2 + a - 5. Suppose -m - 2*m + 32 = 5*k, 0 = k + 2*m - 12. Is d(k) a prime number? True Let r(n) = 5*n**3 + n**2. Let m be r(1). Let u(h) = 3*h - 7. Let a be u(m). Let z = a - -68. Is z composite? False Suppose -4*g = -4, -4*y + 4*g + 6 = 2*g. Suppose y*n - 4*n = -106. Is n prime? True Suppose 190 - 70 = 3*b. Let k = 75 - b. Is k a prime number? False Let h = 1011 - 56. Is h composite? True Let l = 4 + -1. Let p(f) = 11*f. Is p(l) a composite number? True Suppose 3*z + 360 = -z. Let f = -16 - z. Is f a prime number? False Suppose -5*f + 10 = 0, u - 4*f = -f - 1. Let i = u - 3. Suppose -3 - 3 = -i*d. Is d composite? False Is (-446)/(-4) + (-3)/(-2) composite? False Suppose -165 = -5*v + 2*u, 7*v - 3*v = 2*u + 130. Let s = v - -18. Is s prime? True Let x = 5 - 5. Suppose 2*d + 0*d - 182 = x. Is d prime? False Let n(t) be the third derivative of -5*t**4/6 + 7*t**3/6 + 4*t**2. Is n(-6) prime? True Is 3/(-2)*264/(-36) a prime number? True Suppose 495 = 3*j + 2*j. Let q = j + -68. Is q composite? False Let u be ((-11)/(-4) - 2)*-12. Let r(n) = n**3 + 9*n**2 - 5*n + 8. Is r(u) a composite number? False Suppose -18 = -4*u - 2. Suppose 2*m - u = -0*m - 3*o, -m = -o + 3. Is (-14)/(m - 15/(-21)) a composite number? True Let d(q) = -297*q. Let u be d(1). Is (-2)/8 - u/4 composite? True Suppose -g + 0*g = -178. Is g a prime number? False Let w = -9 + 13. Is (-83)/2*(w + -6) composite? False Let c(l) = -6*l + 6. Suppose 3*w - 39 = -4*j - 0, w - 4*j = -3. Let q be c(w). Let d = -29 - q. Is d composite? False Let j(n) = -n + 1. Let g be j(-3). Suppose g = -2*r + r. Let t(d) = -d**2 - 7*d + 1. Is t(r) composite? False Suppose -2*h - 119 = -569. Let z = 117 - 263. Let l = z + h. Is l composite? False Let n = -14 - -10. Let m = n - -4. Suppose -3*c - 3 - 9 = m, -27 = -d + 2*c. Is d a prime number? True Let m(l) = -201*l**3 + l**2 - 1. Let d = -7 + 6. Is m(d) a prime number? False Let f(x) = x**2 + 9*x. Let c(d) = -d**2 - d. Let j(q) = 2*c(q) + f(q). Let r be j(5). Suppose -h - 6*u + r = -3*u, 2*h - 47 = 3*u. Is h composite? False Let c(a) = 59*a
{ "pile_set_name": "DM Mathematics" }
8266.876 How many millilitres are there in fourty-five eighths of a litre? 5625 What is fifty-five sixths of a decade in months? 1100 Convert 95.8229 centuries to millennia. 9.58229 What is 51/2 of a litre in millilitres? 25500 What is fifteen quarters of a centimeter in micrometers? 37500 How many millilitres are there in 59/5 of a litre? 11800 What is 1/10 of a decade in months? 12 How many milligrams are there in 5.671861 micrograms? 0.005671861 How many millennia are there in 3281.788 centuries? 328.1788 How many millilitres are there in 5/4 of a litre? 1250 How many tonnes are there in 0.8386502mg? 0.0000000008386502 How many months are there in fifty-seven halves of a decade? 3420 How many kilograms are there in 15/4 of a tonne? 3750 How many hours are there in 7/3 of a day? 56 Convert 8316.328 tonnes to nanograms. 8316328000000000000 What is 46/5 of a kilometer in meters? 9200 What is 0.9307112 milligrams in nanograms? 930711.2 What is one fifth of a meter in centimeters? 20 What is 13/5 of a second in milliseconds? 2600 How many micrometers are there in three tenths of a centimeter? 3000 What is 744102.6 nanograms in kilograms? 0.0000007441026 What is 0.409833 centimeters in nanometers? 4098330 How many micrograms are there in 3/40 of a gram? 75000 How many millilitres are there in 3/10 of a litre? 300 Convert 0.9554305mg to nanograms. 955430.5 How many minutes are there in 7/6 of a week? 11760 Convert 44252.97l to millilitres. 44252970 Convert 217.1461 hours to seconds. 781725.96 What is 3/40 of a micrometer in nanometers? 75 What is 2.239033 centimeters in nanometers? 22390330 How many years are there in 27/2 of a decade? 135 How many tonnes are there in 13053.02 micrograms? 0.00000001305302 How many weeks are there in 5047036.47 minutes? 500.6980625 How many grams are there in 1.771728kg? 1771.728 What is 11/2 of a meter in millimeters? 5500 Convert 6434.087 years to millennia. 6.434087 What is 8267.602 weeks in days? 57873.214 What is 3/10 of a micrometer in nanometers? 300 How many millilitres are there in 21/8 of a litre? 2625 What is fourty-five halves of a centimeter in millimeters? 225 Convert 1473.357km to micrometers. 1473357000000 How many millimeters are there in thirty-seven halves of a meter? 18500 What is eleven quarters of a microgram in nanograms? 2750 What is 3/25 of a millennium in years? 120 What is seven halves of a millennium in years? 3500 What is 9.322126 millilitres in litres? 0.009322126 How many years are there in 1/5 of a decade? 2 What is 3/40 of a gram in micrograms? 75000 Convert 84172.7 nanometers to meters. 0.0000841727 Convert 1.343766 kilograms to nanograms. 1343766000000 What is nineteen quarters of a litre in millilitres? 4750 How many seconds are there in 1/64 of a week? 9450 Convert 95.94926 decades to millennia. 0.9594926 What is eleven quarters of a gram in milligrams? 2750 What is 71/5 of a litre in millilitres? 14200 What is 2.06115 millimeters in kilometers? 0.00000206115 What is 28.16021 decades in years? 281.6021 Convert 44463.7 decades to millennia. 444.637 How many millilitres are there in seven halves of a litre? 3500 What is fifty-four fifths of a milligram in micrograms? 10800 Convert 0.6767393t to micrograms. 676739300000 How many nanoseconds are there in 51499.34 weeks? 31146800832000000000 How many years are there in 93.3162 months? 7.77635 How many millilitres are there in nine tenths of a litre? 900 Convert 0.1009519 millennia to years. 100.9519 How many litres are there in 24836.02ml? 24.83602 How many millilitres are there in 0.072662l? 72.662 What is 227656.8 hours in weeks? 1355.1 What is 1/4 of a millennium in years? 250 What is 330704.4 months in millennia? 27.5587 Convert 1131.643 litres to millilitres. 1131643 How many decades are there in 534861.9 millennia? 53486190 What is 83837.83 seconds in microseconds? 83837830000 Convert 98056.99ms to microseconds. 98056990 How many grams are there in twenty-one fifths of a kilogram? 4200 How many centimeters are there in 12/25 of a meter? 48 How many years are there in 83049.24 decades? 830492.4 Convert 7.407775l to millilitres. 7407.775 What is 51/2 of a litre in millilitres? 25500 How many months are there in 3/10 of a millennium? 3600 What is twenty-seven quarters of a litre in millilitres? 6750 What is 526192.1 meters in centimeters? 52619210 What is twenty-three eighths of a day in minutes? 4140 How many meters are there in 2031.688km? 2031688 What is 535104.3 milligrams in grams? 535.1043 How many months are there in 64/5 of a century? 15360 What is 639.4222nm in micrometers? 0.6394222 How many millimeters are there in three fifths of a meter? 600 How many millilitres are there in 3/10 of a litre? 300 What is 98856.46kg in tonnes? 98.85646 What is 263426.1ug in kilograms? 0.0002634261 What is 21/8 of a gram in milligrams? 2625 How many months are there in one quarter of a decade? 30 Convert 6526.698 meters to centimeters. 652669.8 How many centuries are there in 49/5 of a millennium? 98 How many milligrams are there in 11.64019 nanograms? 0.00001164019 How many minutes are there in 3/7 of a week? 4320 How many nanometers are there in thirty-one halves of a micrometer? 15500 What is 7.168194 seconds in nanoseconds? 7168194000 Convert 894.7961 days to nanoseconds. 77310383040000000 What is 647.718 litres in millilitres? 647718 What is 44889.18 weeks in minutes? 452482934.4 Convert 1.21813s to nanoseconds. 1218130000 Convert 8386.454 millennia to months. 100637448 What is 21/2 of a tonne in kilograms? 10500 Convert 179.6204214 milliseconds to weeks. 0.0000002969914375 Convert 546333.7 millennia to years. 546333700 What is 19831.94 decades in months? 2379832.8 What is 2/125 of a kilogram in milligrams? 16000 What is fourty-seven quarters of a millennium in decades? 1175 Convert 96654.75 kilograms to tonnes. 96.65475 What is 0.0216833 days in milliseconds? 1873437.12 What is 13/4 of a litre in millilitres? 3250 Convert 0.1302265 litres to millilitres. 130.2265 How many tonnes are there in 0.5218034 grams? 0.0000005218034 What is 67/5 of a millennium in decades? 1340 How many millilitres are there in 2838.094 litres? 2838094 What is 658.3112l in millilitres? 658311.2 How many nanograms are there in seventy-five quarters of a microgram? 18750 What is 1/10 of a millisecond in microseconds? 100 What is one quarter of a meter in millimeters? 250 Convert 7450.7 nanometers to millimeters. 0.0074507 How many millimeters are there in 809643.7 centimeters? 8096437 What is 1.659896ng in micrograms? 0.001659896 What is 13/4 of a litre in millilitres? 3250 What is 1/4 of a litre in millilitres? 250 Convert 250.2235 days to hours. 6005.364 How many hours are there in 51/2 of a week? 4284 What is 3/50 of a millennium in months? 720 How many millimeters are there in 0.3434945 kilometers? 343494.5 How many nanograms are there in 17/4 of a microgram? 4250 How many litres are there in 0.6347838 millilitres? 0.0006347838 What is 91407.73 micrograms in grams? 0.09140773 Convert 986.7179ml to litres. 0.9867179 What is 13/4 of a week in minutes? 32760 How many millimeters are there in thirty-three fifths of a centimeter? 66 What is one fifth of a microgram in nanograms? 200 What is 16814.3 years in decades? 1681.43 How many micrometers are there in three fifths of a millimeter? 600 What is 6/25 of a hour in seconds? 864 How many nanometers are there in 0.4914761 millimeters? 491476.1 How many milligrams are there in 1/4 of a gram? 250 What is 15/4 of a micrometer in nanometers? 3750 How many kilograms are there in 1/4 of a tonne? 250 Convert 243368.5ug to nanograms. 243368500 What is 217137.7ml in litres? 217.1377 What is 0.107019ml in litres? 0.000107019 What is one sixth of a day in hours? 4 What is seventy-three quarters of a litre in millilitres? 18250 What is 11/4 of a microgram in nanograms? 2750 What is one quarter of a centimeter in micrometers? 2500 Convert 83093.9mm to micrometers. 83093900 Convert 7511.095 weeks to days. 52577.665 What is 39.03845 tonnes in milligrams? 39038450000 How many tonnes are there in 35.12967 grams? 0.00003512967 What is 11/2 of a century in decades? 55 Convert 99170.68ml to litres. 99.17068 Convert 264.3313 m
{ "pile_set_name": "DM Mathematics" }
+ 32 = 40*p for p. 1 Solve -2*s + 5218*b + 150 = 5244*b, 4*b + 5 = 21 for s. 23 Solve 0 = 4*d - 8290*v + 8285*v - 27, -3*d + 10*v + 64 = 0 for d. -2 Solve 0 = 112*u - 60*u - 55*u + 5*d + 11, 3*u = d + 31 for u. 12 Solve 22*z - 5*z - n = -49*z + 994, -z = z + 5*n - 10 for z. 15 Solve 9*t - 2*t - 2*t + 188 - 182 = 2*t, 5*t - 4 = 2*g for g. -7 Solve 8*y - 11*y + 52*x + 47*x = 381, 0 = 5*y + 2*x - 0*x - 33 for y. 5 Solve 0 = 3*h - 3*a - 33, 2*h + 1232 - 1224 = -4*a for h. 6 Solve 1633 = -71*m + 5*r, -5*m - 115 = -23*r + 28*r for m. -23 Solve 5*m + r - 36 = 0, 4*m + 5*r - 453 = -873 + 453 for m. 7 Solve -n + 46*z + 19 = 48*z, 2*n + 4*z = 8*n - 50 for n. 11 Solve -11 = -m - 1483*b + 1476*b, -4*b + 22 = -m for m. -10 Solve u = 3*h - 4, 118*u - 20*h = 115*u + 6*h - 46 for u. 2 Solve -8 = -2*i - 5*j - 78 + 7, -23*j = -79*i - 26*j + 40 for i. 1 Solve 7*q - 7*p = 4*q + 207, 0*q - 7*q + 2*p = -3*q - 56 for q. -1 Solve 0 = -g + 2*t - 78, 16513*g + 5*t - 225 = 16508*g for g. 4 Solve 0 = 5*a - 2*j - 53, -1353*a - 2*j + 28 = -1349*a for a. 9 Solve -26*f - 317 = -17*f - h, 0 = -f + 3*h - 41 for f. -35 Solve 0 = -4*m - 5*s - 56, 4*s + 28581 = -7*m + 28521 for m. -4 Solve -177 = -2*a + 7*g, -5*a - 3*g + 20 = -320 for a. 71 Solve -4*i + 9*a - 50 - 16 = 0, -3*a = -3674*i + 3679*i - 3 for i. -3 Solve -2*x + 292 - 213 = x + 4*w, -3*x - w + 22 = 0 for x. 1 Solve f - 16 = -2*z + 2*f, 255045*z + 2*f = 255046*z - 17 for z. 5 Solve -60 = -n + 2*q, 3922*n + 155 = 3927*n - 5*q for n. 2 Solve -a - 1251*z = -1254*z + 46, -2*a + 2*z - 25 = -7*a for a. -1 Solve -2*j + 130729*o + 6 = 130726*o, 7*j = 2*j + 3*o + 15 for j. 3 Solve 5*r - 56 + 75 = -3*l, -110*r - 196 = -8*l for r. -2 Solve -11*m + 3*l = -10, 5*l + l - 6 = 6*m - 7 + 13 for m. 2 Solve 4*l - 14*l - 7*l = 2*u + 71, 10*l - 13 = -4*u + 7*l for u. 7 Solve z + 611*x - 615*x + 21 = 0, -188*z = -204*z - 3*x - 403 for z. -25 Solve -4*l - 4*o - 20938 = 21006 - 42000, 2*l = 3*o + 33 for l. 15 Solve -3*w = 9*m - 93, 36*m = 34*m + 24 for w. -5 Solve 15 + 26 = 25*k + x - 65, 2*k + 4*x = 32 for k. 4 Solve 3*q = 2486*j - 2455*j - 577, 5*j - 99 = -q for j. 19 Solve 8*s - 6*p = 3*s - 23, -5*s = -45*p + 48*p - 4 for s. -1 Solve 28 - 30 + 33 = j - 4*f, 7*f = 4*j - 151 for j. 43 Solve 418 = -56*d + 2*a - 134, 2*a + 8 = 0 for d. -10 Solve -3*d + 3*a - 2*a - 12 = 0, 12*a = -5*d + 8*a - 3 for d. -3 Solve -4*y - 5*b = -37, -y - 2249947*b + 16 = -2249948*b for y. 13 Solve 5*q = d - 7, 3*q + 2*d + 9 + 36 = 6*d for q. 1 Solve -359*f = -3*v - 361*f + 53, -6*v - f + 121 = 0 for v. 21 Solve -7*f = -5*k - 34, 32*f + 2*k = -2 - 8 + 66 for f. 2 Solve -2*x - x - 551 = -20*s - 424, -5*x + 2*s - 10 - 45 = 0 for x. -9 Solve 0 = t - l - 11, -89 = -4*t + 5*l - 146 + 105 for t. 7 Solve -757*r = -3*g - 755*r + 61, -3*g - 4*r + 85 = 0 for g. 23 Solve -4*h + 4 = 3*y + 3, 0 = -4*y + 22*h - 45*h - 87 for y. 7 Solve 0 = -5*x + 4*k - 162, -2*x - 1254*k = -1258*k + 72 for x. -30 Solve 5*y + 80*u - 3895 = 0, -88 = -y + 2*u + 3*u - 338 for y. -5 Solve 21*v + 2*u = 72*v - u + 1128, 13*v - 3*u + 118 = -174 for v. -22 Solve 5*i + 35 = 0, 3022*d - 132 = 3017*d + 21*i for d. -3 Solve 7073*o = 7075*o - 5*c + 27, 33 = 10*o - c for o. 4 Solve 3*w - 6*w + 4*d = -9, -23 + 91 = 2*w - 9*d - 4*d for w. -5 Solve 0 = 5*t - 2*x + 17, 355*t = 350*t - 22*x + 367 for t. 3 Solve -2*n - n - n = -2*s + 184, -18*n + 8*n = 450 for s. 2 Solve 1661*v - 6*d - 1 - 3 = 1666*v, 2 = 3*d - 1 for v. -2 Solve z = 3*u - 298 + 310, 2*u - 3*z + 1 - 2 = -2 - 7 for u. -4 Solve -v - 5*t + 207 = -7*v, -3*v - 4*t - 6358 + 6274 = 0 for v. -32 Solve 34*m - 32*m = -z - 622 + 581, 7*z + 0 = m + 43 for m. -22 Solve -9*g + 4*g + 0 = -3*z + 3, -23*g + 6*g - 3*z + 54 = -81 for g. 6 Solve 0 = t + 3*j, 158*j = -5*t + 142*j + 4 - 1 for t. -9 Solve -4*g - 40 = 4*z, 0 = -3073*g + 3074*g - 0*z - 8*z + 37 for g. -13 Solve 12*w - 6 = -5*w + 13*w + 3*r, 6*w - 4*r - 8 = 0 for w. 0 Solve 0 = 2*i + 4*v - 4, 34*i - 22*i - 41 = 20*i - 3*v for i. -4 Solve -5*y = 9*v - 33, -26 = -4*y + 4*v - 22 for y. 3 Solve 42264*k - 42259*k - 15 = 2*f, -56*f + 305 = 5*k for f. 5 Solve -143*w + 142*w - 15 = -z, -34*z = 3*w - 221 - 141 for z. 11 Solve -127*p - 125*p + 247*p = -10*i - 195, 5*p = i + 42 for p. 5 Solve -4*o = -4*d - 136, -2*o + 1461*d - 1457*d + 140 = 0 for o. -2 Solve -29 = 2*c + i, c + 19838*i - 19842*i = -0*c - 28 - 9 for c. -17 Solve 2*w + 121 = -11616*s + 11621*s, 192 = 9*s + 5*w for s. 23 Solve 419*s + 50 = -4*r + 422*s - 0 - 65, -4*s = -3*r - 95 for r. -25 Solve 2*s + 19 + 3 = -4*i, -5*s + 8*i + 123 = 34 for s. 5 Solve -2531*a - 5*d + 75 = -2526*a, 14 = -2*a + 2*d for a. 4 Solve -952 + 990 = -3*d + 5*v, 6*d + 18 = 4*d + 7*v for d. -16 Solve 0*s - 5*k + 2*k - 34 = -2*s - 0*k, 273 - 142 - 171 = 5*k for s. 5 Solve 5*o = -2*g + 1399 - 1361, 0 = -13*o + 5*g + 109 for o. 8 Solve 4*q - 2 = 2, -f - 8*q + 6*q - 623 = -631 for f. 6 Solve 101*i + 14 = 100*i - 3*a, -5*i = 17*a + 76 for i. -5 Solve 62 = -3*t - 3*w + 80, 2*w + 99 = -t + 110 for t. 1 Solve -11*n - h = 48, -5*h + 40 - 76 = 4*n for n. -4 Solve -17*k + 215 = 4*f + 269 + 102, -8*k = -4*f - 56 for f. -22 Solve -h - 4 = -3*y, -14696*y = -14695*y - 5*h - 6 for y. 1 Solve 36*j - 6 = 49*m - 97*m + 54*m, -20 = -j + 3*m for j. -1 Solve -131*a + 2*l = -137*a + 24, -64 = 10*l + 26 for a. 7 Solve -2*u - 20 = -6*u + 3*z + 151, 3*u + 2*u - 297 = -24*z for u. 45 Solve -29*t + 386 + 109 = -0*c + 14*c, -3*c + 2*c + 91 = 5*t for c. -4 Solve 2 = f + 1, 18*l - 381*f = -384*f + 3 for l. 0 Solve m + 475183*a = 475185*a - 93, -50 = 4*m - a for m. -1 Solve 0 = u - 9*u - 4*f + 4, 0 = 3*u - 2*f - 8 - 4 for u. 2 Solve 0 = 4*m + 5*s - 165, 4*m + 14*m + 26*s - 27 = 20*m + 33 for m. 35 Solve -68 = 2*x - 0*x + 5*w, 34 = -0*w - 2*w + 23 - 17 for x. 1 Solve 168*j - 40 = 163*j + 5*y, 2*y = -2*j - 4 for j. 3 Solve -28*y + 11 = y - 31*y - 11*r + 71, -5*y - 5*r + 60 = 0 for y. 8 Solve -1810*p + 72 + 74 = -1815*p + 19*d, -4*d + 11 = -5*p for p. 5 Solve 0 = 3*m + 12, 4*j - 34*m + 89*m = 34*m + 24*m + 44 for j. 8 Solve 32*x - 4*w = 28*x - 116, -2*x = -w + 53 for x. -24 Solve 5*u - 35*h + 32*h + 238 = 0, -u + 4*u + 79*h + 878 = -103*h for u. -50 Solve 3*d = -3*i - 4963 + 4939, 0 = 5*d + i - 8 for d. 4 Solve 0*d = -7956*y + 7955*y - 5*d - 8, 16 = -2*y + 3*d for y. -8 Solve 0 = -5*i + 4*j - 188 + 117, 20*i = 2*j - 228 for i. -11 Solve -13*u = 2*b + 162, -510873*b + 510878*b = -15 for u. -12 Solve 3*t = -5*r - 20, 26121*r - 23 = 4*t + 26124*r for t. -5 Solve -3*f + 2 = 2*j, 332*f - 333*f - 46 = 10*j for j. -5 Solve 4*n = 2*m + 68 - 70, -3*m = 17*n - 95 for n. 4 Solve 53*d + 3*h - 3 + 8 = 56*d - 7, 3*h + 0*h = -5*d + 4 for d. 2 Solve -t - 1 = -11*h + 12*h - 18, 70*h - 1412 = 4*t for t. -3 Solve -82301*u - 73 = -82306*u - 3*b, -11*u + 39 = -b for u. 5 Solve -2*x - 22627 = o - 22611, 4*x - 298 = 31*o for o. -10 Solve 16*c = -3*s - 79, -s + c + 5222 = 5223 for s. -5 Solve -27*g - 34*g + 100*g - 24 = -3*c + 7*g, -3*c + 24 = -4*g for c. 8 Solve 2*s + 27*v - 7 = 4*s + 36*v, 0 = 2*s + 3*v - 11 for s. 10 Solve -10*h = 20*h - 3*h + 5*m - m + 130, -55*m = -52*m + 57 for h. -2 Solve -2*o = 2*b - 20, -b + 9770 - 9765 = 0 for o. 5 Solve -o + 43*b - 104*b + 47*b - 143 - 44 = 0, 3*o - 54 = 4*b - 17 for o. -5 Solve -3*k - 2*q = -19, -52*q = -3*k - 189 - 42 - 20 for k. 3 Solve 17*b - 57 - 12 = 7*b - z, 2*z = -14*b + 132 for b. 1 Solve 2*b + 120 = 12*q - 2*b, 6*q - 10*q + 194 = -5*b for q. -4 Solve -15*p = -2*h + 10601 - 10056, -5*h = -2*p - 49 for h. -5 Solve -2*l + 7*l = 30*c, 309*c - 313*c - l = 0 for c. 0 Solve -2*w + 19 = -5*f + 48, -w + 14 + 16 = 3*f + 28 for w. -7 Solve 4*w - 37*j = -34*j - 43, 2*w + 5*j - 3838 = -3801 for w. -4 Solve -82*y - 2*p = 15908 - 13856, -6*y - 149 = -p for y. -25 Solve 14*w + 196*u - 202*u = -84, 5*w + 3*u = 6 for w. -3 Solve 2*j - 57*l + 109*l = 43*l - 38, -5*j = 2*l + 13 for j. -1 Solve 2*f + 3*x - 2663 = -2689, -3*x + 5*x + x = -3*f - 36 for f. -10 Solve 0 = 4*x + 2*t - 80, -5*x + 2*t + 0*t - 44727 + 44367 = -17*x - 6*x for x. 20 Solve 0 = -5*i - 25840*w + 25844*w + 13, 5*w + 10 = 5*i for i. 5 Solve -22*b - 4 = 5*q + 18*b - 42*b - 14, q + 15*b = 156 for q. 6 Solve -k - 112087*m = -112084*m + 11, -34 = -22*k + 3*m for k. 1 Solve 5*s + 56 + 60 = 3*n + 125, 2*s - 15*n - 114 = 0 for s. -3 Solve 16*z -
{ "pile_set_name": "DM Mathematics" }
ferentiate k(y) wrt y. 9*y**2 Suppose -3*o + 4 = 10. Let g = 8 - o. What is the third derivative of 0*k**2 - 5*k**6 - g*k**5 + 10*k**5 - 3*k**2 wrt k? -600*k**3 Let c(j) be the first derivative of -11*j**5/10 - 23*j**2/2 - 18*j - 19. Let a(o) be the first derivative of c(o). Find the first derivative of a(l) wrt l. -66*l**2 Let p(g) = -720*g + 109. Let i(k) = 11523*k - 1746. Let y(r) = -2*i(r) - 33*p(r). What is the first derivative of y(n) wrt n? 714 Suppose -10 = -3*p - 1. Suppose -4*t = -p*t - 6. What is the third derivative of 6*z**2 - 14*z**t - 4*z**2 + 12*z**6 wrt z? -240*z**3 Let i(d) be the second derivative of 237*d**5/20 - 33*d**2 - 299*d. What is the derivative of i(o) wrt o? 711*o**2 Let w(b) be the first derivative of -17*b**6/30 - 37*b**4/12 - 6*b - 34. Let u(d) be the first derivative of w(d). What is the third derivative of u(v) wrt v? -408*v Suppose 3*p = 5*p - 6. Let b(o) = o**3 + 6*o**2 - 5*o + 16. Let s be b(-7). What is the second derivative of -s*f**p - 10*f + 6*f + 3*f**3 wrt f? 6*f Suppose 4*y - 2 = 2, j = -3*y + 101. Find the second derivative of -b**4 + j - 8*b - 98 wrt b. -12*b**2 Let r be (4 + -7)/(1*-1). Suppose 0 = -3*f - 6, -2*f = p - 5*f - 11. Find the first derivative of 0*g + p - 4*g + r*g wrt g. -1 Let a(y) be the first derivative of -y**6/6 + 16*y**5/5 - 5*y**2 - 4*y + 284. What is the second derivative of a(c) wrt c? -20*c**3 + 192*c**2 Let n = -3 + 11. Find the second derivative of n*g - 6*g**3 + 9*g - 10*g + 19*g**3 wrt g. 78*g Differentiate 201 - 3*o**2 + 0*o**2 + 9*o**2 - 903*o + 902*o + 0*o**2 with respect to o. 12*o - 1 Let w(x) = -x**3 - 7*x**2 - x - 4. Let d be w(-7). Differentiate -d*z - 8*z + 11 - 14 wrt z. -11 Let v be 3/(((-396)/(-16))/11). Let y(x) be the second derivative of 0*x**2 + 0 + 5/12*x**4 - 7*x + v*x**3. Find the second derivative of y(j) wrt j. 10 Let j = -117 - -119. What is the second derivative of -43*g - 2*g - 32*g**j + 5*g wrt g? -64 Let b(c) = -c**3 - 3*c**2 - 2*c - 3. Let g be (-13)/5 - 6/15. Let h be b(g). What is the first derivative of 3 + 6*p**3 - p**4 - 6*p**h wrt p? -4*p**3 Let u = -45 + 70. Let o = u - 23. What is the third derivative of 23*w**o - 28*w**2 + 4*w**3 - 12*w**3 wrt w? -48 Let w be 2/(-4)*5*-2. What is the second derivative of -13 + 3*b + 22*b**2 + 18 - w wrt b? 44 Find the third derivative of 1661*i**4 + i**2 + i + 2*i**3 + i - 1729*i**4 wrt i. -1632*i + 12 Let n(u) = -2*u - 37. Let b(s) = s + 38. Let o(k) = 5*b(k) + 6*n(k). Let x(h) = -6*h - 33. Let g(i) = 4*o(i) - 5*x(i). Differentiate g(v) wrt v. 2 Let b(r) = 100*r**4 + 2*r**3 - 110*r**2 - 4*r. Let l(k) = k**4 + k**2 + k. Let a(g) = -b(g) - 4*l(g). What is the third derivative of a(d) wrt d? -2496*d - 12 What is the third derivative of 0*y**4 + 9*y**4 + 2*y**5 - 58*y**2 - 38*y**2 - 4*y**4 wrt y? 120*y**2 + 120*y Let b(y) be the second derivative of 21*y**5/4 + 29*y**4/12 - 2*y**3/3 - 8*y - 23. Find the third derivative of b(t) wrt t. 630 Let c(o) = 294*o + 73. Let m(n) = 2*n - 2. Let l(j) = c(j) - 4*m(j). Differentiate l(r) with respect to r. 286 Let q(m) be the first derivative of -36*m**2 + 19*m - 15. Differentiate q(p) wrt p. -72 Find the third derivative of -103616*b**3 + 104024*b**3 + 15*b**2 - 451*b**2 wrt b. 2448 Let d(i) = -i**2 + 4*i + 21. Let t be d(7). Find the third derivative of 2*g**2 - 6*g**2 + t*g - 9*g**4 + 0*g wrt g. -216*g Let y(x) = 477*x**2 - 7*x + 336. Let f(u) = 318*u**2 - 5*u + 224. Let v(l) = -7*f(l) + 5*y(l). Differentiate v(o) wrt o. 318*o Find the second derivative of 20*z - 23 - 31 - 23*z + 5*z - z**5 - 177*z**2 wrt z. -20*z**3 - 354 What is the third derivative of -11*o**3 + 8*o - 25*o**2 - 294*o**6 + 4*o**2 - 9*o**3 + 20*o**3 wrt o? -35280*o**3 What is the first derivative of -65*f**2 - 2*f + f + 198 - 14*f + 14*f wrt f? -130*f - 1 Let x(d) be the first derivative of 27*d**2/2 + 12*d - 30. What is the derivative of x(h) wrt h? 27 Let r(g) = g**2 + 6*g - 11. Let y be r(-8). Suppose 5*s - 29 = 4*l, 0 = -y*s - 2*l - 3*l + 20. Differentiate -1 + 0*o**4 - s + 5*o**4 with respect to o. 20*o**3 Let k = -63 + 71. Find the first derivative of 7*b + k - 19*b + 2*b wrt b. -10 Let f(v) be the third derivative of -71*v**6/15 + 509*v**3/6 + 572*v**2. Find the first derivative of f(a) wrt a. -1704*a**2 Suppose -5*s - 157 + 22 = 0. Let c = -21 - s. Differentiate -q**3 + 6*q**4 + q**3 + 15 - c with respect to q. 24*q**3 Let p(l) = 21*l + 22. Let a(i) = 2*i - 25. Let c be a(10). Let n(k) = -20*k - 21. Let r(h) = c*p(h) - 4*n(h). Differentiate r(s) wrt s. -25 Suppose 3*b + 5*a = -14 + 40, b - a + 2 = 0. Let s be 232 - b - (-4 - -1). Differentiate -233*i**2 + s*i**2 + 2 + 5*i**3 with respect to i. 15*i**2 Let p(f) be the first derivative of 21*f**5/10 + 5*f**4/6 - 13*f + 30. Let s(k) be the first derivative of p(k). What is the third derivative of s(a) wrt a? 252 Let v(a) be the first derivative of -a**9/1512 - a**6/45 - 8*a**3/3 + 4. Let u(z) be the third derivative of v(z). What is the third derivative of u(d) wrt d? -120*d**2 Let j(z) be the second derivative of 89*z**6/30 - 75*z**4/2 - 2*z + 498. What is the third derivative of j(f) wrt f? 2136*f What is the second derivative of -13*o**5 - 335*o**5 - 11*o**5 + 106*o**5 - 86*o wrt o? -5060*o**3 Let b(k) be the first derivative of 943*k**7/7 - 130*k**3/3 - 351. What is the third derivative of b(x) wrt x? 113160*x**3 Let b(y) = -3*y - 6. Let v = 9 - 13. Let p be b(v). Find the second derivative of 55 - p*z + 6*z**3 - 55 wrt z. 36*z Let k(l) = -2*l + 2014. Let o be k(0). Suppose 4*b + 302 = o. What is the second derivative of -1 + 1 - b*u**3 - 8*u + 421*u**3 wrt u? -42*u Let o = -6 - -13. Find the second derivative of 6*u**2 - 7*u**2 - o*u + 20*u**2 wrt u. 38 Let z = 13 - 15. Let x = z + 7. Find the second derivative of 9*h - h**x + 7*h**5 - 4*h wrt h. 120*h**3 Let v = 25 + -29. Let x = v + 6. What is the second derivative of -18*a + a**2 - 4*a**x + 20*a wrt a? -6 Differentiate -74*r**3 - 300 - 222 + 78 with respect to r. -222*r**2 What is the first derivative of -897*m + 897*m - 89 - 9*m**2 wrt m? -18*m Let g(x) be the first derivative of 5/2*x**2 + 0*x**3 + 0*x**4 + 7/5*x**5 + 0*x + 15. What is the second derivative of g(q) wrt q? 84*q**2 Let m(v) be the second derivative of 0 + 2/5*v**5 - 6*v**2 + 8*v + 0*v**3 + 0*v**4. Differentiate m(g) wrt g. 24*g**2 Let q = 12 + -6. Find the third derivative of -3*g**q - 15*g**2 - 7*g**6 + 16*g**6 wrt g. 720*g**3 Let u(q) = q**3 - 2*q**2 - q. Let k be u(3). Suppose -k*z + 4*z + 6 = 0. What is the third derivative of -3*j**z + 5*j**4 + 3*j**3 + 2*j**2 wrt j? 120*j Find the second derivative of -3*d + 66*d**2 - 44 + 109*d**3 - 66*d**2 - 64 + 8 wrt d. 654*d Let b be 3 + 2*(4/(-8))/1. Differentiate 8 + 12*p**b - 37 + 10*p**2 wrt p. 44*p Let z be (-2 + 1)*-4 + -1. What is the third derivative of 3*i**3 + 2*i**3 + z*i**2 - 9*i**2 wrt i? 30 Let a(l) be the second derivative of -8*l**3/3 + 9*l**2/2 - 2*l - 3. What is the first derivative of a(h) wrt h? -16 What is the second derivative of -48*a + 166*a**2 - 18*a - 156*a**2 - 5*a wrt a? 20 Let z(d) be the third derivative of 2*d**6/15 - 11*d**5/30 - 116*d**2. What is the third derivative of z(n) wrt n? 96 Let q be 15/(-25) - 26/(-10). Find the third derivative of -14*i**2 - 3*i**4 + q*i**4 + 0*i**4 + 14*i**4 wrt i. 312*i Let b(i) be the second derivative of i**6/120 + i**5/120 + 3*i**3/2 + 12*i. Let c(f) be the second derivative of b(f). Find the second derivative of c(h) wrt h. 6 Let w(t) be the third derivative of 37*t**7/105 + t**6/60 - 52*t**3/3 + 91*t**2 + 2*t. What is the derivative of w(n) wrt n? 296*n**3 + 6*n**2 Let q(v) be the third derivative of 0 + 18*v**2 + 0*v + 0*v**4 + 10/3*v**3 - 7/60*v**5. Differentiate q(n) with respect to n. -14*n Let i(t) = 141*t + 47. Let u(d) = 141*d + 43. Let p(f) = -6*i(f) + 5*u(f). Find the first derivative of p(g) wrt g. -141 Suppose 0 = 3*k + 4*v - 14, -4*k - v = -0*k - 10. Suppose 4 = 3*m - k*m. What is the second derivative of -5*y**4 + 3*y**4 - 3*y**m + 6*y wrt y? -60*y**2 Let x be ((-42)/4)/((-9)/12). Let s = x + -8. Find the second derivative of s*y**5 - 2*y**5 + y + 2*y wrt y. 80*y**3 Let s(b) = 179*b**3 - 3*b**2 - 25. Let k(v) = -v**3 + v**2. Let h(x) = -3*k(x) - s(x). Differentiate h(p) wrt p. -528*p**2 L
{ "pile_set_name": "DM Mathematics" }
e 2 - (-5 - (42 + 7)) - 13 - 0. 43 Calculate (1 - -4) + -16 + (6 - 9 - -11) + 35. 32 What is the value of 1 + 3 + 24 + (-56 - -4) + 77? 53 What is the value of 33 - (123 - 115 - (-3 + -11 + 6 + 24))? 41 What is the value of 5 + 14 + -12 + -48 + -7? -48 Evaluate -6 + (2 - 17 - (32 - (-24 - -34))). -43 What is -394 + 394 + (-2 - (-28 + 3)) + 97? 120 Calculate -2 - (2 + -15) - (-7 - (-75 - -9)). -48 Calculate -45 + 63 - (110 + (-7 - 3)). -82 Evaluate 36 + -22 - (-9 - -68 - 5). -40 What is 17 - (-19 - -46 - 50)? 40 What is -61 + (9 - ((-2 - -13) + -2 + (17 - 23)))? -55 Calculate 11 - (-45 - ((-20 - -14 - -2) + -8)). 44 What is the value of -16 + (5 - (8 + 14 + -62))? 29 Evaluate (0 - (6 + (-12 - 0 - -11)) - -42) + 11. 48 -9 + (-8 - (0 + -8 + (7 - 10))) + -4 -10 Evaluate 3 - (17 - 17) - (5 + -15 + 2). 11 What is -29 + 2 + -1 + 1561 + -1524? 9 What is 2125 - 2134 - (2 - -27)? -38 What is the value of 3 + -9 + (-4 - -10) - (-7 + -44)? 51 Evaluate -49 + 9 + 18 + (-17 - -10) + -31. -60 7913 - 7886 - (-23 + 1 + 1) 48 -1818 - -1820 - ((-44 - -2) + 1 + 4 + -5) 44 (24 - (-9 - -17)) + 33 - (-36 + 23) 62 Calculate 147 - (-29 + 109 + -41). 108 (2 - 0 - 2 - 0) + 12 + 9609 + -9716 -95 What is -70 - 2 - (1574 - 1569)? -77 Calculate -31 - ((11 + -26 - -62) + -11). -67 What is the value of (12 + 50 - 24 - 39) + (-1 - -27)? 25 What is 70 + 4 + -10 + -6? 58 -120 + 110 + 4 + -17 -23 What is (-75 - 15) + (-122 - -206)? -6 142 + -97 + -81 + 90 54 Evaluate (17 - 8) + (2 - (11 - 7)). 7 -63 + 0 - (-515 + 486) -34 Calculate 6 + 48 + (-7 - 22). 25 -113 + -15 + 103 + -6 -31 What is 26 + (60 - (35 + 80))? -29 What is the value of -8 - (-11 + (20 - 23)) - -9? 15 Calculate 32 - (11 + -70 + 128). -37 What is the value of (1 - -13) + (42 - (36 - 43)) - (2 + 12)? 49 -13 + (-22 - (-73 + 18 + 8)) 12 What is (-13 - (-74 - (19 - 38))) + -8? 34 What is the value of -47 + 23 + 22 - (-1 - -12)? -13 What is the value of (9016 - 9056) + (5 + -2 - -9) + -3? -31 Evaluate 5 - -18 - 22 - 1 - 48. -48 Calculate (-18 - (-36 - -28)) + 21 + -4 + 9 - 0. 16 Evaluate 95 + -78 - (2 - (-22 + 12)) - 101. -96 Evaluate 15 - (((-2 - 4) + -15 - -6) + 29). 1 4 + 0 + -3 + (82 - 17) + -65 1 Calculate -116 + 4 - (-2927 - -2707). 108 Evaluate 69 + (16 + -10 + 3 - (5 - (9 + -2))). 80 Evaluate 3 + 33 - (-19 - (11 + 14 + -45)). 35 What is -26 - (-48 + (-56 - -50))? 28 Calculate -32 + -4 + -7 + 9 + 25. -9 Calculate (-25 - -51) + (-26 - (30 - -13)). -43 Evaluate 50 - 33 - -25 - (10 + -4 - 13). 49 What is 4 - 48 - (22 - (42 - 6) - -8)? -38 -10 - 1 - (25 + -66 + 23) - 6 1 Evaluate -4 + (-11 + -1 - -46) + -93. -63 What is -18 + (-66 - (-77 - -57))? -64 29 - (21 - -33 - -8) -33 Calculate 5 + 11 + -39 - (-6 + 0 - 1). -16 Calculate 7 - (29 + -94 + 42). 30 (-1 - 87) + (-1121 - -1103) -106 What is the value of (20 + (-5 - (-4 + -1 + 6)) - 4) + -40? -30 What is (-32 - 18 - -44) + -33? -39 Calculate 4 + 55 + 10 + (-12 - -5 - -14 - 17). 59 Evaluate 73 + -32 + -26 + (8 - -48) + (0 - -10). 81 Evaluate (-5 - -2 - -12) + (2 - 7) - 48. -44 What is the value of -34 - (24 - (47 + 21))? 10 What is the value of -113 - (-293 + -129 + 180)? 129 Evaluate 224 - 164 - (58 - 3). 5 What is the value of 16 - (15 - -18) - (-1 + 10)? -26 13 - (23 - (-21 - -20)) - 1 -12 Calculate 26 - 78 - (6 + -8 + -13) - 18. -55 What is the value of -5 + 0 + 8 + -41? -38 Evaluate 17 + -10 - 15 - (-3 - 6 - (27 + -26)). 2 What is (-4 - ((-1 - -20) + 238 + -226)) + -1 + 10? -26 What is the value of (-1 - 102) + (-294 - -305) + -4 + 9 + -20? -107 Calculate (0 - -120) + (-989 - -937). 68 What is the value of (-54 - -66) + (44 - 45 - (64 - (0 - -3)))? -50 What is the value of 9428 - 9379 - (-3 + 4 + 12)? 36 What is -80 - (-57 - (-43 - -29))? -37 What is (0 - 16 - (-5 - (-23 + 31))) + 34? 31 Evaluate 60 + -13 + (-113 - -61) - 82. -87 Evaluate (-3 - -6) + 6 + -2 + -49. -42 What is the value of ((-18 - (-5 + -4)) + 22 - 12) + 12 - 4? 9 Calculate 9 + (60 - (-11 - (-15 - -1 - 10))). 56 Calculate -1749 + 1854 + (-209 - 0). -104 -23 + -4 - (276 - 237) -66 What is -15 + 34 - (7 + (-2 - -5 - 31))? 40 What is -13 + 0 + (-120 + -1 - 14)? -148 What is the value of -16 + 5 + -4 - ((28 - (35 + 5)) + 5)? -8 What is -1 - -85 - (-3848 - -3925)? 7 What is the value of -127 - (41 - 79) - -23? -66 Evaluate 47 + 3 + -51 + -2 + 1. -2 What is -426 + 340 + (-7 - -176)? 83 Evaluate -131 + 326 + -123 + -115. -43 What is the value of 80 + 0 + -7360 + 7337? 57 What is the value of -3333 - -3260 - (0 + -48)? -25 68 - (96 + -77 + 60) -11 Evaluate -7 - 26 - (0 - (4 - (-3 - -7))). -33 What is (-87 - -42) + (3 - 6 - -4) + 7? -37 What is 4 + 10 + -4 + 13 + 1? 24 Calculate -5 + 7 - 60 - (4 + -19 + 3 + 8). -54 Calculate (-2 - 5) + 28 + -10 + 6 + -3. 14 10 + -12 + ((-17 - -7) + 23 - 39) -28 -29 - -69 - (-16 - -51) - (0 + 62) -57 Evaluate -1 + -4 + (6 - -1) + (2 - (1 + -31)). 34 What is -57 + (8 - -2 - ((148 - 151) + 6 + -1))? -49 -3 + 3 + -8 + (47 + -32 - (-1 - -53)) -45 What is the value of 53 - 46 - -61 - 46? 22 What is -12 - -6 - -30 - (-405 + 380)? 49 (46 - 58 - (1 + 44) - -14) + 14 -29 Calculate (-98 - 20) + (0 + (20 - 3) - 4) - -15. -90 What is the value of 61 + (-148 + 60 - -35)? 8 What is the value of -20 + -11 + 24 + (10 - 10 - (8 + -2))? -13 What is 12 + -2 + (-17 - -8)? 1 2483 + -2474 - (12 + -3 - -2) -2 (-85 + 69 - 12) + -29 -57 Evaluate (5 - 10) + (-11 - (-17 + (-5 - -11))). -5 What is the value of (6 - (19 - -7)) + 43 + 35? 58 Calculate 12 + -4 + (-27 + 5 - -2). -12 Calculate 52 + (-96 - (-20 + -5)). -19 66 - (-12 + -13 + (7 - (-9 + 26)) + 35) 66 Evaluate -79 + 126 + 35 - (48 + 0). 34 Evaluate 66 + -129 + 173 + (-27 - -4). 87 What is the value of (24 - 26) + 12 + 8 + -27 + 6 + 40? 37 Calculate 3 - -31 - (46 + -32). 20 What is the value of 1 + -5 + -11 + 14 + -3 + -38? -42 Calculate 1 + 98 + (-73 - -48) + 11. 85 What is the value of (1 - (3 + -4)) + -1 - (907 + -979)? 73 What is (444 - 448 - (-1 - (0 + -10))) + 2 - -83? 72 -7 + -9 - (28 - (71 + -30)) -3 Calculate 10 - (-5 - -3 - (-11 + 16 - 9)) - -25. 33 What is 139 + 81 + -150 + -40? 30 -18 - -18 - (3 + 7 + -7 + 5 - -97) -105 81 + -86 - (-6 - 0) - (6 + -14) 9 What is 82 - 85 - (-69 + (0 - 1) - (20 - 15))? 72 Evaluate -35 + (0 - -5) - (-2191 - -2043). 118 Calculate 156 - 69 - -10 - 38. 59 What is the value of -3 - -88 - -1 - (-104 + 37 + 81)? 72 Calculate (3 - 51 - -54) + -44. -38 Calculate -58 + (-74 - -120) + 127 + (-1 - (-2 - -1)). 115 Calculate (-75 - 5) + (-28 - (21 + -64)). -65 What is 36 + -7 + 15 - (9 + -19 + 13)? 41 What is the value of -62 + 19 + (-49 - -22) + 19? -51 What is 11 + -2 + 45 + (57 + -56 - -12)? 67 Evaluate 9 - (108 + (16 + (7 - 19) - 15 - -10)). -98 -1 - 2 - (-676 - -721) -48 -62 - (-29 - (-27 - -12)) -48 What is 2 + 55 + (-64 + -124 - -174)? 43 Calculate 205 + -345 - (14 - 97). -57 What is 2 + (6 - (9 + 2)) + 11 + 13? 21 4 + (7 + (2 - 7 - 10) - -3) - -49 48 What is 12 - 31 - 24 - (-24 + 4)? -23 What is the value of -16 - 0 - (-76 - (51 - 15 - 28))? 68 (8 - 109) + (-2 - -1 - (-28 + 22)) -96 What is the value of -38 + 8 + (-8 - -8) + (-15 - -9)? -36 Evaluate -40 - (-156 + 55 - 25). 86 Evaluate 6 + 54 + (-8 - 4 - 7). 41 Evaluate 0 + (-174 - -62) + 59. -53 Evaluate (-23 - (17 + -5 + -1)) + -25. -59 Calculate -13 - ((18 - (14 + 15)) + 15). -17 Evaluate -15 + 11 + -22 + (2 - -58). 34 Calculate 5 + (-27 - (15 + -55) - (-2 + 6)). 14 Evaluate -23 + 2 + -82 + -74 + 147. -30 Calculate (-5 - (11 + -6)) + 0 - ((1 - 85) + 0). 74 -2 + 11 - ((-3 - -10) + -41 + -3 + 1) 45 Evaluate (13 - 45) + (-3 - (-6 + (6 - 3)) - -4). -28 37 - (2 - (13 + (10 - 12) + -2 + -15)) 29 What is (-1 - -23) + (-16 - -9) + (-26 - -27)? 16 (7 - -2) + (-28 + 12 - 5) - 16 -28 -93 + -64 + 89 - 50 -118 Evaluate -30 - (-25 + -6) - 38. -37 Evaluate (-1 - 20) + (-82 - -78). -25 -157 + 2 - (18 - (223 - 157)) -107 Evaluate (63 + 33 - 60) + -48. -12 What is the value of -143 - (-168 + 15) - (-3 + (47 - (1 - 3)))? -36 Calculate -1 + 40 - (38 - 3). 4 What is the value of 1 + -5 - (-107 - (-46 - 74))? -17 What is -22 + (-12 - -27) + -32? -39 Calculate (13 - 9) + -58 + 61 - 136. -129 What is -34 - -30 - (7 - (5 - 13))? -19 Evaluate -1 - 53 - (-9 - (125 - 111 - (2 + 23))). -56 Evaluate -8 - (7 + 9 + -17) - (6 - (5 + -1)). -9 Calculate 16 + (64 + -13 - (51 - 25)). 41 Wha
{ "pile_set_name": "DM Mathematics" }
53) + 4 + -4 + sqrt(153) + 0)*-5*-3)**2. 137700 Simplify (sqrt(76)*5*-1)/(-3*(sqrt(324) - sqrt(4))). 5*sqrt(19)/24 Simplify (sqrt(330)/sqrt(6)*4)/sqrt(5) - (sqrt(176)*-1 + sqrt(11) + (sqrt(176)/sqrt(4))/sqrt(4)). 6*sqrt(11) Simplify (3*-3*sqrt(55))/(sqrt(121)/(sqrt(22)/sqrt(2) + sqrt(11)) - sqrt(11)) + -2. -2 + 18*sqrt(5) Simplify ((sqrt(308)*2*4)/sqrt(7))/(sqrt(100)*1*-1) + -5. -8*sqrt(11)/5 - 5 Simplify -1 + (sqrt(40) - sqrt(40)*4)/sqrt(8) + -4 + -1*sqrt(5) + (sqrt(25) + sqrt(100))/sqrt(5). -5 - sqrt(5) Simplify (2*sqrt(156)/sqrt(3)*5)/((3*sqrt(108))/sqrt(3)). 10*sqrt(13)/9 Simplify (sqrt(10) - -6*sqrt(160))/(-5*1*sqrt(2)). -5*sqrt(5) Simplify ((3*(sqrt(78) - -6*sqrt(78)*1))/(sqrt(36)/(sqrt(24)/(sqrt(16)/sqrt(4)))))**2. 5733 Simplify 3*((sqrt(288) + sqrt(288) + 0 - sqrt(288) - sqrt(288))*4 + (sqrt(288) + 1 + -3)**2). -144*sqrt(2) + 876 Simplify ((5 + sqrt(1053) + 1)**2 - ((sqrt(143)/(sqrt(11)*-2))**2 + (sqrt(13) + sqrt(52))*2)) + 3. 102*sqrt(13) + 4355/4 Simplify -5*(-2 + (4*sqrt(18)/sqrt(6) - sqrt(3) - -4*(sqrt(3) + 3))). -35*sqrt(3) - 50 Simplify (2 + sqrt(612) + -5)**2 - (sqrt(612) + (sqrt(612) + sqrt(612) + (sqrt(612) - (1 + sqrt(612))))*-2)**2. -4891 + 36*sqrt(17) Simplify (3*(1 + sqrt(1216) + sqrt(1216)*-2 + (sqrt(1216) - 4*-4*sqrt(1216))))**2. 2304*sqrt(19) + 2801673 Simplify 4 + (((sqrt(105)/sqrt(3))/sqrt(5) + (sqrt(7) - sqrt(35)/sqrt(5)) + -5)**2 - (0 + 5 + (sqrt(343))**2)). -312 - 10*sqrt(7) Simplify sqrt(2448) + sqrt(2448) + -1 + -5 + (-1 + sqrt(2448) + 3)**2 - (1 + -4 + sqrt(2448)*1). 60*sqrt(17) + 2449 Simplify 2*((sqrt(2)*4*-2)**2 - sqrt(8)/(sqrt(4)*-2)). sqrt(2) + 256 Simplify (sqrt(25)/(-3*sqrt(5)*-2) - sqrt(55)/(sqrt(44)/(1*sqrt(4))))**2. 125/36 Simplify ((sqrt(17) - (sqrt(1377) - (sqrt(1377) + 0) - sqrt(17))) + sqrt(51)/sqrt(3) + 5)**2 - -3*((sqrt(51)/sqrt(3) + 1)**2 + sqrt(17) - sqrt(17)). 36*sqrt(17) + 232 Simplify -2 + -3*sqrt(2) + -5 + (sqrt(108)/sqrt(9))/sqrt(6)*4. -7 + sqrt(2) Simplify ((sqrt(363) + (sqrt(363) + 3*(2 + sqrt(363)) - sqrt(363)) + sqrt(363) - -2*sqrt(363)*-5) + 1)**2. -770*sqrt(3) + 9124 Simplify (-5*(-2*sqrt(128) + sqrt(8)))/(sqrt(192)/sqrt(3) + (sqrt(4) - (sqrt(16)*-2)/sqrt(4))). 5*sqrt(2) Simplify -1*(2*sqrt(1300) + sqrt(1300) + 0 + (sqrt(1300) - (1 + sqrt(1300))) + 2 + 1)**2. -11704 - 120*sqrt(13) Simplify -1*(sqrt(16)/(sqrt(72)*4) + sqrt(162) + 0 + 0 + sqrt(162)). -217*sqrt(2)/12 Simplify 2*-6*6*((sqrt(32) - (sqrt(3200) + 1 - sqrt(3200))**2) + (sqrt(352)*-1)/sqrt(11)). 72 Simplify 1 + (sqrt(66)*-1*3 + sqrt(66))/((sqrt(144)/sqrt(3))/sqrt(8))*5. -10*sqrt(11) + 1 Simplify (sqrt(66)*2*-3*-1)/(4*(sqrt(6) - (sqrt(726) - sqrt(726)*-4))). -sqrt(11)/36 Simplify -3 + sqrt(44)/(sqrt(4) + 1*sqrt(4) + sqrt(4)) + sqrt(891)*-2 + sqrt(1331) + (-1 + sqrt(1331))**2 + sqrt(11) + (sqrt(11) - 1*sqrt(11)*-1). -77*sqrt(11)/3 + 1329 Simplify (-6*-4*sqrt(204))/((-5*sqrt(96))/sqrt(8)). -24*sqrt(17)/5 Simplify (1*(1 + ((sqrt(300) - (sqrt(300) + 0)) + sqrt(300) - sqrt(300)) + 2)*-1)**2. 9 Simplify ((-2*sqrt(325) - sqrt(325)) + sqrt(325) + 1 + -5*(0 + sqrt(325)))**2 + (5*(sqrt(325) + sqrt(325) + -1 - sqrt(325)) + 0)**2. -320*sqrt(13) + 24076 Simplify (5 + sqrt(2057)*2 + 5 + sqrt(2057) + sqrt(68)*1 + 1*sqrt(612) + sqrt(17) + sqrt(17))**2. 860*sqrt(17) + 31533 Simplify -4*-5*(2 + sqrt(1088)*-3 + sqrt(1088) + 1)**2*-2. -174440 + 3840*sqrt(17) Simplify (6*sqrt(187)*2)/(sqrt(704)*-6) + 5. -sqrt(17)/4 + 5 Simplify ((sqrt(539) + (sqrt(539) - (sqrt(539) + 2)))*-3)**2 - ((6*sqrt(33)/sqrt(3))**2 + (1 + sqrt(44))**2). -256*sqrt(11) + 4446 Simplify 5 + (sqrt(539) - (-2*sqrt(539) + sqrt(539) + 2) - (sqrt(539) - (2*sqrt(539) + -2)))**2. -168*sqrt(11) + 4872 Simplify (sqrt(960) + 6*(-1*sqrt(960) - sqrt(960)))/(sqrt(10)/(-2*-1*sqrt(2))). -176*sqrt(3) Simplify (5 + (sqrt(132)/(sqrt(3)*3))/(sqrt(4) + (sqrt(32)/sqrt(2))/sqrt(4)))**2. 5*sqrt(11)/3 + 911/36 Simplify 1*(sqrt(637) + -3) - sqrt(637) - (3*sqrt(1300) + 4). -30*sqrt(13) - 7 Simplify (5 + (sqrt(136)/(sqrt(8) + sqrt(72) + sqrt(8)) + sqrt(17) - sqrt(34)/(sqrt(4)/sqrt(2))))*6. 6*sqrt(17)/5 + 30 Simplify (sqrt(152)*-1*4 - sqrt(152) - (sqrt(152) - (sqrt(152) + sqrt(152)*1*2) - sqrt(152)))/(6*sqrt(128)*-1). sqrt(19)/12 Simplify (1*(-2 + -1*(sqrt(5) + -3*sqrt(10)/sqrt(2))))**2. -8*sqrt(5) + 24 Simplify 5*(5 + -5 + sqrt(2448) + -1)*-1. -60*sqrt(17) + 5 Simplify 1 + (-3*(-5 + -5 + 4*sqrt(28) + sqrt(28) + sqrt(28)))**2. -2160*sqrt(7) + 9973 Simplify 2 + (sqrt(45) - sqrt(2205)*1)/(sqrt(27)/(sqrt(6)/sqrt(2))). -6*sqrt(5) + 2 Simplify (-3*sqrt(2)*2 + 1 + sqrt(2)*1)**2 + 4 + (sqrt(18)*2)/sqrt(9). -8*sqrt(2) + 55 Simplify 1 + ((sqrt(2448) - (-2*sqrt(2448)*5 + sqrt(2448))) + 2*sqrt(2448) + 0)**2. 352513 Simplify ((sqrt(140) + -3*(sqrt(140) + -1*sqrt(140) + sqrt(140) + sqrt(140)))/(sqrt(25)/(sqrt(20)/sqrt(4)) + sqrt(5)))**2. 175 Simplify (sqrt(363) + (sqrt(363) - (sqrt(363) + -3 + (-1*sqrt(363))**2)) - (3 + sqrt(363) + -1)**2) + -4 + sqrt(363)*-2 + -5. -736 - 55*sqrt(3) Simplify ((-1 + 4*sqrt(48)*3)*-5)**2. -2400*sqrt(3) + 172825 Simplify (-2*sqrt(49)*-4 - (sqrt(784) + (sqrt(784)*-2 - sqrt(784))))/(-3*(sqrt(7) + sqrt(112) + sqrt(7))). -8*sqrt(7)/9 Simplify (5 + 4 + (4 + (sqrt(3267) - (sqrt(3267) + 2)))*-5)**2. 1 Simplify -2 + 0 + ((sqrt(588)*1 + sqrt(588))/sqrt(12))/sqrt(7)*1. -2 + 2*sqrt(7) Simplify 2*2*((sqrt(304) + 1 - sqrt(304)) + 0 + (-2 + sqrt(304) - sqrt(304))*-4). 36 Simplify ((sqrt(51) + (sqrt(102) - (sqrt(102) - (1*sqrt(102) + sqrt(102))))/sqrt(2))/(sqrt(27)*5 - sqrt(3))*-6*-5)**2. 34425/49 Simplify (-3 + (1*sqrt(8) + sqrt(2) - 1*sqrt(98)))**2 + (sqrt(896) + sqrt(896)*1)/((sqrt(21)/sqrt(3) + sqrt(7))*-6). 68*sqrt(2)/3 + 41 Simplify 4*(2*sqrt(8208) - sqrt(57))/((sqrt(45)/sqrt(5))/sqrt(3) + sqrt(3) - sqrt(3)). 92*sqrt(19) Simplify 3*(((sqrt(260) + sqrt(260)*3)*4 - sqrt(260))/(sqrt(5) + (sqrt(245)*-3 - sqrt(245))))**2. 1300/27 Simplify (2*(sqrt(605)*1*-6 + sqrt(605) - sqrt(605)) + 2 + (-1 + sqrt(605))*-4)**2. -2112*sqrt(5) + 154916 Simplify 1 + (sqrt(88)/((sqrt(128) + sqrt(8))*-1))**2 + -2. -14/25 Simplify -6*((sqrt(8) - sqrt(56)/sqrt(7))*-5 - (sqrt(8) + sqrt(56)/sqrt(7))*1)**2 + -3. -195 Simplify (1 + sqrt(2) + ((sqrt(4) + sqrt(100))/sqrt(2) - sqrt(2)) + sqrt(18)/(-1*sqrt(9)*2 - sqrt(9)))**2*5. 170*sqrt(2)/3 + 2935/9 Simplify -3*(sqrt(720) + (sqrt(720) - (1*sqrt(720))**2) + sqrt(720) + -4) + 3*(sqrt(720) - (-4 + (1 + sqrt(720))**2)). -144*sqrt(5) + 21 Simplify (sqrt(637) - (sqrt(637) - (-1 + sqrt(637) + -2)**2))*-5 - (-1*(sqrt(637) + 1)**2 + 2). -2594 + 224*sqrt(13) Simplify 4 + ((sqrt(160)/sqrt(8))**2 + sqrt(2450)/sqrt(10))*6. 42*sqrt(5) + 124 Simplify 1 + (1 + (sqrt(98) + 0 - sqrt(98)))*-2. -1 Simplify 3 + (3 + ((1*sqrt(7))**2 + -5 - sqrt(7) - -3*sqrt(7)*-2))*-4. -17 + 28*sqrt(7) Simplify (2*1*sqrt(70))/(sqrt(1440)*1) + 5. sqrt(7)/6 + 5 Simplify 2*sqrt(245)*4 + (((-4*(sqrt(245) + 4) - sqrt(245)) + sqrt(245) - sqrt(245)) + sqrt(245))**2. 952*sqrt(5) + 4176 Simplify (((4 + sqrt(700) + sqrt(700) - sqrt(700)) + -4 + 0 + 2)*2)**2. 160*sqrt(7) + 2816 Simplify ((sqrt(154)*-3)/sqrt(7))/(sqrt(2) - sqrt(288)). 3*sqrt(11)/11 Simplify -3*(0 + (5 + (-3*sqrt(9))/sqrt(3))**2). -156 + 90*sqrt(3) Simplify ((-2*sqrt(2736) + -4)*2)**2 - sqrt(2736)*-2*-2*2. 672*sqrt(19) + 43840 Simplify 1 + ((sqrt(2736) - 4*(sqrt(2736) + 1)) + 4*sqrt(2736) + 0)**2 + 5. -96*sqrt(19) + 2758 Simplify (sqrt(200) + sqrt(200)*1 + -3 - sqrt(200))**2 + sqrt(20)/(sqrt(90) + -3*sqrt(90) + sqrt(90)). -181*sqrt(2)/3 + 209 Simplify ((sqrt(625)*3*-3)/(sqrt(35)/(sqrt(252)*-4)))**2. 5832000 Simplify (-1*sqrt(26)*-6)/((sqrt(108)/sqrt(6) + sqrt(18))/sqrt(9)). 3*sqrt(13) Simplify ((sqrt(180)/(sqrt(3) + sqrt(3) + sqrt(3)*2))/sqrt(4))/(sqrt(25)/(sqrt(45)/(sqrt(27)/sqrt(3)))). sqrt(3)/4 Simplify (sqrt(66)*1*5 + 2*((sqrt(66) - sqrt(66)*-2) + sqrt(66)))/((sqrt(12) - (-1*sqrt(108) + sqrt(108)))/sqrt(2)). 13*sqrt(11) Simplify (-5 + (1 + -4*(-2 + sqrt(2736) - sqrt(2736)))*-1)**2. 196 Simplify (sqrt(84)/(sqrt(36)/sqrt(75)) - (sqrt(252) + (-3*sqrt(252) - sqrt(252))*5))**2. 99127 Simplify (3*(-2*sqrt(539))**2 + -4 + 2*(sqrt(539)*-1 + 3))*2. -28*sqrt(11) + 12940 Simplify (2*sqrt(162)*3 - (1*sqrt(1350))/sqrt(3))**2. 3042 Simplify -2 + -2 + (sqrt(114)/(sqrt(18)/sqrt(6) + sqrt(3)))/(sqrt(18) - sqrt(72) - sqrt(18)). -4 - sqrt(19)/12 Simplify 4 + ((2 + sqrt(567)
{ "pile_set_name": "DM Mathematics" }
at is the tens digit of 2722? 2 What is the units digit of 22954? 4 What is the ten thousands digit of 48032? 4 What is the hundreds digit of 3204? 2 What is the hundreds digit of 861? 8 What is the thousands digit of 20754? 0 What is the units digit of 27508? 8 What is the hundreds digit of 613? 6 What is the units digit of 26600? 0 What is the units digit of 1664? 4 What is the hundreds digit of 1912? 9 What is the thousands digit of 23571? 3 What is the hundreds digit of 622? 6 What is the tens digit of 18111? 1 What is the thousands digit of 43833? 3 What is the tens digit of 645? 4 What is the thousands digit of 1421? 1 What is the hundreds digit of 2825? 8 What is the hundreds digit of 6800? 8 What is the tens digit of 507? 0 What is the tens digit of 6540? 4 What is the units digit of 7403? 3 What is the tens digit of 2406? 0 What is the units digit of 22912? 2 What is the units digit of 33495? 5 What is the tens digit of 3167? 6 What is the tens digit of 438? 3 What is the hundreds digit of 7351? 3 What is the hundreds digit of 2911? 9 What is the hundreds digit of 22089? 0 What is the thousands digit of 34838? 4 What is the units digit of 86056? 6 What is the units digit of 12623? 3 What is the tens digit of 80? 8 What is the tens digit of 612? 1 What is the hundreds digit of 1407? 4 What is the tens digit of 284? 8 What is the units digit of 914? 4 What is the units digit of 2700? 0 What is the units digit of 3368? 8 What is the hundreds digit of 1213? 2 What is the hundreds digit of 22167? 1 What is the hundreds digit of 10367? 3 What is the units digit of 3186? 6 What is the tens digit of 1888? 8 What is the thousands digit of 86290? 6 What is the hundreds digit of 954? 9 What is the thousands digit of 94915? 4 What is the thousands digit of 28124? 8 What is the hundreds digit of 2758? 7 What is the units digit of 47? 7 What is the ten thousands digit of 42755? 4 What is the hundreds digit of 27653? 6 What is the hundreds digit of 5919? 9 What is the units digit of 647? 7 What is the tens digit of 52? 5 What is the units digit of 6766? 6 What is the units digit of 717? 7 What is the units digit of 55? 5 What is the ten thousands digit of 14261? 1 What is the hundreds digit of 119545? 5 What is the units digit of 7327? 7 What is the ten thousands digit of 45489? 4 What is the tens digit of 23446? 4 What is the hundreds digit of 9122? 1 What is the units digit of 409? 9 What is the thousands digit of 40480? 0 What is the tens digit of 10751? 5 What is the thousands digit of 2857? 2 What is the tens digit of 65430? 3 What is the tens digit of 13936? 3 What is the tens digit of 844? 4 What is the hundred thousands digit of 133921? 1 What is the thousands digit of 11900? 1 What is the units digit of 2598? 8 What is the units digit of 218? 8 What is the ten thousands digit of 49607? 4 What is the thousands digit of 94012? 4 What is the ten thousands digit of 27781? 2 What is the tens digit of 88536? 3 What is the ten thousands digit of 34534? 3 What is the units digit of 1889? 9 What is the tens digit of 3323? 2 What is the ten thousands digit of 25885? 2 What is the units digit of 21726? 6 What is the thousands digit of 13130? 3 What is the ten thousands digit of 13720? 1 What is the thousands digit of 1654? 1 What is the thousands digit of 1845? 1 What is the thousands digit of 28630? 8 What is the hundreds digit of 1537? 5 What is the thousands digit of 40505? 0 What is the hundreds digit of 502? 5 What is the tens digit of 572? 7 What is the units digit of 499? 9 What is the units digit of 84? 4 What is the tens digit of 1060? 6 What is the units digit of 1684? 4 What is the thousands digit of 87377? 7 What is the units digit of 772? 2 What is the thousands digit of 48786? 8 What is the tens digit of 7880? 8 What is the tens digit of 314? 1 What is the thousands digit of 10369? 0 What is the units digit of 149391? 1 What is the ten thousands digit of 27331? 2 What is the units digit of 478? 8 What is the hundreds digit of 771? 7 What is the units digit of 10562? 2 What is the tens digit of 993? 9 What is the tens digit of 9768? 6 What is the units digit of 6638? 8 What is the tens digit of 2270? 7 What is the thousands digit of 1418? 1 What is the hundreds digit of 2021? 0 What is the ten thousands digit of 13849? 1 What is the thousands digit of 1923? 1 What is the units digit of 721? 1 What is the tens digit of 327? 2 What is the ten thousands digit of 21500? 2 What is the hundreds digit of 9617? 6 What is the hundreds digit of 1305? 3 What is the thousands digit of 13596? 3 What is the thousands digit of 19163? 9 What is the hundreds digit of 2530? 5 What is the tens digit of 5570? 7 What is the ten thousands digit of 19312? 1 What is the tens digit of 1506? 0 What is the tens digit of 2726? 2 What is the tens digit of 15164? 6 What is the hundreds digit of 1550? 5 What is the hundreds digit of 43771? 7 What is the tens digit of 429? 2 What is the thousands digit of 43380? 3 What is the hundreds digit of 978? 9 What is the tens digit of 21475? 7 What is the hundreds digit of 1471? 4 What is the hundreds digit of 14599? 5 What is the units digit of 893? 3 What is the ten thousands digit of 15607? 1 What is the tens digit of 8127? 2 What is the thousands digit of 2930? 2 What is the tens digit of 1447? 4 What is the thousands digit of 13293? 3 What is the hundreds digit of 3028? 0 What is the units digit of 81933? 3 What is the tens digit of 5594? 9 What is the hundreds digit of 5559? 5 What is the units digit of 193? 3 What is the hundreds digit of 2631? 6 What is the hundreds digit of 442? 4 What is the hundreds digit of 222? 2 What is the units digit of 15157? 7 What is the tens digit of 21962? 6 What is the hundreds digit of 739? 7 What is the hundreds digit of 16804? 8 What is the units digit of 28983? 3 What is the hundreds digit of 33123? 1 What is the tens digit of 1950? 5 What is the thousands digit of 2359? 2 What is the ten thousands digit of 132408? 3 What is the hundred thousands digit of 178124? 1 What is the tens digit of 1531? 3 What is the units digit of 22409? 9 What is the units digit of 1921? 1 What is the ten thousands digit of 37413? 3 What is the tens digit of 62? 6 What is the thousands digit of 3977? 3 What is the thousands digit of 2071? 2 What is the thousands digit of 9535? 9 What is the hundreds digit of 2724? 7 What is the units digit of 58140? 0 What is the tens digit of 56163? 6 What is the thousands digit of 2404? 2 What is the units digit of 922? 2 What is the tens digit of 16891? 9 What is the ten thousands digit of 12394? 1 What is the ten thousands digit of 17856? 1 What is the units digit of 415? 5 What is the units digit of 2430? 0 What is the hundreds digit of 30628? 6 What is the units digit of 2388? 8 What is the hundreds digit of 88978? 9 What is the tens digit of 933? 3 What is the hundreds digit of 63713? 7 What is the units digit of 994? 4 What is the hundreds digit of 739? 7 What is the tens digit of 1375? 7 What is the units digit of 1220? 0 What is the hundreds digit of 2346? 3 What is the thousands digit of 82237? 2 What is the hundreds digit of 39597? 5 What is the tens digit of 1130? 3 What is the tens digit of 11199? 9 What is the tens digit of 764? 6 What is the thousands digit of 13381? 3 What is the thousands digit of 1143? 1 What is the hundreds digit of 12602? 6 What is the units digit of 10640? 0 What is the tens digit of 927? 2 What is the units digit of 3863? 3 What is the thousands digit of 1178? 1 What is the units digit of 3452? 2 What is the units digit of 8? 8 What is the tens digit of 1951? 5 What is the ten thousands digit of 92867? 9 What is the tens digit of 35686? 8 What is the units digit of 1865? 5 What is the ten thousands digit of 17774? 1 What is the units digit of 2897? 7 What is the hundreds digit of 628? 6 What is the tens digit of 992? 9 What is the tens digit of 18279? 7 What is the thousands digit of 1906? 1 What is the tens digit of 1018? 1 What is the units digit of 11393? 3 What is the thousands digit of 6629? 6 What is the units digit of 7702? 2 What is the tens digit of 911? 1 What is the thousands digit of 50016? 0 What is the tens digit of
{ "pile_set_name": "DM Mathematics" }
5*a + 141 + z = 0. What is the remainder when a is divided by 16? 13 Calculate the remainder when 4*2*1690/40 is divided by 43. 37 Let v(x) = -10*x - 6. What is the remainder when 52 is divided by v(-2)? 10 Suppose -5*r + 3*p = -50, 86 = 5*r + 3*p + 6. Calculate the remainder when 127 is divided by r. 10 Let x(d) = d**3 - 6*d**2 - 9*d + 2. Let r be x(7). Let y be 1/6 - 874/r. Let f = y + -46. What is the remainder when f is divided by 7? 6 Let i be (-2)/2*(-5)/1*3. Suppose 4*w - 61 = i. What is the remainder when 73 is divided by w? 16 Let j(c) = 20*c - 39. Let y(m) = m**3 - 7*m**2 - 7*m + 3. Let z be y(8). Calculate the remainder when j(z) is divided by 46. 43 Suppose -10*s - 9*s + 931 = 0. Calculate the remainder when 130 is divided by s. 32 Let d be 4/(0 - 2)*-1. Let p = -25 + 31. Suppose 2*s - 5*s - 2*x = -14, -p = -s - d*x. Calculate the remainder when 7 is divided by s. 3 Let q = -4 + 10. Calculate the remainder when (30/35)/1*(0 - -7) is divided by q. 0 Let p = 29 - 22. Let z(c) = -5*c + 1. Calculate the remainder when -1 - -64 - (p - 6) is divided by z(-4). 20 Calculate the remainder when 27/(-18) - 117/(-6) is divided by 3. 0 Let f = 28 - 31. Let t(p) = -6*p**3 - 2*p**2 + p + 1. What is the remainder when t(f) is divided by 24? 22 Suppose -9*y + 12*y = 15, -3*f = 3*y - 216. What is the remainder when 663 is divided by f? 60 Let x(i) = -15 + 7 - 3 - 24*i. Calculate the remainder when x(-5) is divided by 16. 13 Let u be (-4)/12*5*-3. Suppose 0 = -4*t - 5*o + 112, -t - 2*t = u*o - 79. Suppose t = 3*j - 36. Calculate the remainder when j is divided by 13. 10 Let y(n) = -7*n + 6*n - 11*n**2 - 7 + 2 - n**3 - 10*n. Let w = -35 + 54. Calculate the remainder when w is divided by y(-10). 4 Suppose -2*z + 3*z = 1, 0 = -g - z + 65. Let m = -43 + g. What is the remainder when 99 is divided by m? 15 Suppose 3*l - 6 = l. Suppose -2*m = 3*c - 7, -5*c + 2*c = m - 8. Suppose c*q + 9 = 6*q. What is the remainder when l is divided by q? 0 Let t be -10*((-2)/4 - 0). Suppose 4*w = -5*j + 160, 0 = -t*w - j + 3*j + 233. Calculate the remainder when 55 is divided by (-36)/w*35/(-2). 13 Suppose -6*y - 2*q = -y - 365, 292 = 4*y + 5*q. Calculate the remainder when y is divided by 28. 17 Suppose -32 = -5*h + 2*c, 3*h - 4*c = -2*c + 20. Calculate the remainder when 22 is divided by h. 4 Let j be 82 + (5 + -3)*-1. What is the remainder when 6/(-10) - (-2368)/j is divided by 7? 1 Suppose 2*u + 10 = -2*m - 0*u, -m + u + 5 = 0. Let d(n) = -6 + 3*n**3 + 6*n + 8*n**2 - 4*n**3 + 2*n**3 + m. What is the remainder when d(-6) is divided by 16? 14 Let n(h) = -h**3 + 15*h**2 - 9*h + 11. Let j be ((-7)/(-4))/(18/144). Calculate the remainder when n(j) is divided by 41. 40 Suppose 4*m + m - 190 = 0. Let z(u) = -41*u + 1056. Calculate the remainder when z(23) is divided by m. 37 Let u be ((-2 - -1)*-2)/1. Suppose 0 = u*l - 8 - 16. Calculate the remainder when (-17)/(12/(-8) + 1) is divided by l. 10 Let r(q) = q**3 - 8*q**2 + 23*q - 51. Calculate the remainder when 80 is divided by r(7). 19 Let j = 22 + -72. Suppose 2*o = 2*a + a + 215, -353 = 5*a + 2*o. Let k = j - a. Calculate the remainder when 41 is divided by k. 20 Suppose 3*r = -131 + 296. What is the remainder when r is divided by 7? 6 Suppose 5*a - 109 = -l, l + 0*a - 89 = -a. What is the remainder when l is divided by 4/(-66)*-366 - (-18)/(-99)? 18 Let o be 0 + (-3 - 1) + 12. Suppose t - o = -0*t + 3*j, -5*t + 2*j + 53 = 0. Calculate the remainder when t is divided by 4. 3 Let g(u) = u**2 - u + 48. Let r be g(13). Let x = 285 - r. What is the remainder when x is divided by 23? 12 What is the remainder when 140 is divided by 2/(-4) - 138/(-4)? 4 Suppose 3*d - 17 = -3*m + 34, -47 = -3*d - 2*m. Suppose 4*o = 2*u - 48, -6*o - 92 = -3*u - 4*o. Let z = u - 11. What is the remainder when z is divided by d? 10 Suppose -6 = -4*i + 2. Suppose 5 = -0*m - m, 0 = i*r - 5*m - 119. Calculate the remainder when r is divided by 16. 15 Suppose 23*u - 666 = 47. What is the remainder when u is divided by 6? 1 Suppose 2*y = 6 - 2. Let x(d) = 9 - 11*d**y - 5*d**2 + 17*d**2 + 10*d. What is the remainder when 26 is divided by x(-10)? 8 Let y(a) = a**3 + 5*a**2 + 3*a + 8. Let j(g) = g**3 - 9*g**2 + 8*g - 4. Let l be j(8). What is the remainder when 20 is divided by y(l)? 8 Let q = -953 - -997. Calculate the remainder when 170 is divided by q. 38 Let u be 12*1/2 + -1. Suppose -4*v + 8*v = -r + 91, 0 = r + u. Let b = 23 + -14. What is the remainder when v is divided by b? 6 Let t(h) = -h**2 - 18*h - 17. Calculate the remainder when t(-10) is divided by 1/(2 + 31/(-16)). 15 Let c(l) = l + 12. Let b be c(-9). Suppose -b*u - 2*d = -6, -5*u + 2*d + 8 = -u. Let q = 0 + u. Calculate the remainder when q is divided by 1. 0 Let v(k) = -k**2 + 41*k + 6. Let o(r) = 8*r + 1. Let t(x) = 11*o(x) - 2*v(x). What is the remainder when t(-4) is divided by 4 - 0/(-1 + 0)? 3 Suppose 16 = -9*c + 79. Suppose 4*t = 2*q - 94, 0 + 2 = 2*t. Let v = q - 16. Calculate the remainder when v is divided by c. 5 Let h = -186 - -562. Calculate the remainder when h is divided by 20. 16 Let o = 135 - 97. What is the remainder when 139 is divided by o? 25 Suppose 15*o - 1193 = 97. Calculate the remainder when 97 is divided by o. 11 Suppose -5*m = -3*m - 14. Suppose 3*z + 68 = m*z. Calculate the remainder when 66 is divided by z. 15 Suppose 18*s + 461 = 1559. Calculate the remainder when 121 is divided by s. 60 Let p(u) = -44*u + 20. What is the remainder when p(-4) is divided by 66? 64 Suppose 2*y - 5*y + 12 = 3*b, y + 1 = 4*b. Suppose -2*u + y = -5. What is the remainder when 23 is divided by u? 3 Suppose 2*l - 17 + 40 = w, 3*w - 66 = 3*l. Calculate the remainder when 60 is divided by w. 18 Let l = -2451 + 2472. Let j(n) = 34*n + 2. Calculate the remainder when j(3) is divided by l. 20 Let t be (-2 + -1 - -137) + -4. Suppose 5*d + t = 4*v, -103 = v - 4*v + d. Calculate the remainder when v is divided by 13. 9 What is the remainder when 1*(3 + 1 + 0 - -2) is divided by 4*-3*5/(-20)? 0 Let x(s) = -7*s**3 + 2*s**2 + 21*s - 3. What is the remainder when x(-4) is divided by 44? 41 Let o(i) = 7 + 4*i**2 - i**3 + 14 - 17 + 5*i. What is the remainder when 10 is divided by o(5)? 2 Let d be (-86)/(-18) - 4/(-18). Let z(y) be the third derivative of y**4/8 - y**3/3 - 7*y**2. Calculate the remainder when 23 is divided by z(d). 10 Suppose 2*m = -2*m + 32. Let w = -7 - -38. What is the remainder when (m - 6)/(4/182) is divided by w? 29 Suppose 10*a - 68 = 422. What is the remainder when a is divided by 13? 10 Let l be 8 - (4 + 0 - 2). Let y(z) = 4*z + 4. Let o be y(l). Let c = -18 + o. What is the remainder when 37 is divided by c? 7 Let r = -186 - -209. Suppose 2*z = -2*u - z + 104, -3*u + 155 = 5*z. Calculate the remainder when u is divided by r. 9 Let n(w) = w**2 + w + 1. Suppose 4*r - 192 = -2*r. What is the remainder when r is divided by n(-3)? 4 Let b = 519 - 171. Calculate the remainder when b is divided by 7. 5 Suppose z = -2*z + 6. Suppose 0 = 5*p - 2*p + d - 70, 2*p - 44 = -z*d. Let b(v) = -2*v**3 - 8*v**2 - 4*v + 1. What is the remainder when b(-5) is divided by p? 23 Suppose -2*j + 6*j + 4*d = -44, 31 = -2*j - 5*d. Let x be -1 + 2/((-4)/(-26)). Let y = x + j. Calculate the remainder when 10 is divided by y. 2 Suppose 6*x + 30 = n + 10*x, 25 = 5*x. Calculate the remainder when 99 is divided by n. 9 Let j(x) = -x**3 + 12*x**2 - 8*x + 16. Calculate the remainder when j(11) is divided by 13. 10 Suppose g - 41 = -5*h, -4*g + 18 = 5*h - 11. What is the remainder when 40 is divided by h? 4 Calculate the remainder when 6/((-11725)/(-44622) + 2/(-9)) is divided by 76. 72 Let a be (5 - 9)/((-2)/4). Let r(m) = -m**2 + 6*m + 9. Let y be r(a). What is the remainder when 6 - 4 - (y - -1) is divided by 3? 2 Let g = 52 - -17. Suppose -219 + g = -3*k. Suppose -k = -5*j + z, -4*j + 0*z + z + 39 = 0. What is the remainder when j is divided by 3? 2 Suppose 6*d = 8*d - 34. Let v = -74 - -140. What is the remainder when v is divided by d? 15 Let z = -321 - -560. What is the remainder when z is divided by 20? 19 Suppose -3*n - 156 - 114 = -4*p, -2*p - n = -140. Calculate the remainder when p is divided by 10. 9 Let v = 9 - 4. Let s be (-438)/(-10) + (-1)/(-5). Suppose s = v*h - 26. Calculate the remai
{ "pile_set_name": "DM Mathematics" }
Suppose -5 = 3*z - 2*x, -5*z + 2*x - 13 = x. Let o be (-11)/z - (-44)/(-66). Find the first derivative of -6 - 30*v**o - 8 - 7 + 2 wrt v. -90*v**2 Let a(q) be the third derivative of 0*q**4 + 1/15*q**6 + 11/210*q**7 + 0*q + 0 - 60*q**2 + 0*q**3 + 77/20*q**5. What is the third derivative of a(w) wrt w? 264*w + 48 Suppose 3*j - 46 = -20*j. What is the derivative of -22*v**3 + 24*v**2 - 148*v**3 + 2*v + 34*v**2 - 58*v**j + 43 wrt v? -510*v**2 + 2 Let i = 26 + -20. Find the third derivative of 10*r**5 + 7*r**i + r**6 - 4*r**6 - 52*r**2 wrt r. 480*r**3 + 600*r**2 Let h be (-2)/(-7) - 2/7. Let a = h - -20. What is the third derivative of 35*u**2 + 28*u**2 - 81*u**2 - a*u**6 wrt u? -2400*u**3 Let a = -173 + 176. Find the second derivative of 50*f - 114*f**2 + 250*f + 119*f**2 + 2*f**a wrt f. 12*f + 10 Let m(q) = 1233*q**2 + 4*q - 449. Let v(w) = 615*w**2 + 2*w - 224. Let o(z) = 3*m(z) - 7*v(z). Differentiate o(t) wrt t. -1212*t - 2 Find the second derivative of -11821*y + 864*y**4 + 233*y**4 + 2*y**2 + 3003*y + 236*y**4 - 660*y**4 wrt y. 8076*y**2 + 4 Let v(i) be the first derivative of 29*i**6/30 + 7*i**3 - 44*i + 23. Let h(y) be the first derivative of v(y). What is the second derivative of h(b) wrt b? 348*b**2 Let p(m) be the second derivative of -m**7/42 - 7*m**6 + 4*m**3/3 + 125*m**2/2 - 1525*m. Find the second derivative of p(n) wrt n. -20*n**3 - 2520*n**2 Let b(a) be the third derivative of 7*a**9/72 - a**6/40 + 1013*a**5/60 + 1928*a**2. Find the third derivative of b(c) wrt c. 5880*c**3 - 18 Let j(y) be the second derivative of -191*y**4/6 - 1486*y**3/3 - 2636*y + 1. Find the second derivative of j(g) wrt g. -764 Suppose 3*p = -9, 3*p + 354 = 5*w + 100. Differentiate -4*l**4 - 3 + 37 + w*l**4 + 18*l**4 with respect to l. 252*l**3 What is the derivative of 64*n**3 + 2*n**2 - 90*n**3 + 0*n**2 - 427 - 222 wrt n? -78*n**2 + 4*n Let d(q) be the second derivative of -q**6/10 - 23*q**5/4 + q**4/12 + 6334*q**3/3 - 2*q + 333. Find the second derivative of d(v) wrt v. -36*v**2 - 690*v + 2 Let b(w) = 10709*w - 6173. Let g(t) = -21416*t + 12351. Let x(k) = -11*b(k) - 6*g(k). Find the first derivative of x(s) wrt s. 10697 Find the first derivative of -330 + 448 - 3069*q - 834*q - 5197*q + 383 wrt q. -9100 Let t be ((-3)/(-8) - (-2 - 145/40)) + -2. Let u(k) be the second derivative of 3/2*k**2 - k + 0*k**3 - 1/2*k**t + 0. Differentiate u(y) wrt y. -12*y Let j(k) = 2*k**4 - 36*k**3 + 27*k**2 + 2*k. Let x(m) = -m**3. Suppose -23 + 5 = 18*q. Let o(f) = q*j(f) - 6*x(f). What is the third derivative of o(d) wrt d? -48*d + 252 Let p be 1 - (4/(-6) + 2/3). Suppose -25*q + 26*q = p. Find the first derivative of -7*w**2 - 13 + q - 15*w**2 + 5*w**2 wrt w. -34*w Let k(h) be the first derivative of 13/2*h**2 + 0*h - 3/5*h**5 - 14 - 3*h**3 + 0*h**4. What is the second derivative of k(a) wrt a? -36*a**2 - 18 Let k = 27 - 25. Suppose k = 4*y - 6. What is the second derivative of 106*o - 4*o**2 + 0*o**y - 97*o wrt o? -8 Let g(b) = 61*b + 27. Let j be g(2). Find the third derivative of -16*o - 23*o + 8*o - 2*o**2 + j*o**3 - 15*o wrt o. 894 Suppose -11*c + 4*s = -9*c - 50, -5*c + 134 = -s. What is the derivative of 79*l**2 + 25 - c - 40 + 93*l**2 wrt l? 344*l Find the third derivative of 1377*k**4 - 324*k**4 + 3*k**3 + 19618*k - 19615*k + 236*k**2 wrt k. 25272*k + 18 Suppose -23*m + 25*m = 6. Suppose -m*f + f + 3*d - 11 = 0, 3*d - 7 = 4*f. What is the second derivative of 4023 + 25*v - 4023 + 31*v**f wrt v? 62 Let g be -8*(0 + 3/(-6)). Let v(h) = -7*h - 149. Let m be v(-22). Differentiate -11*j - 10*j - g*j - 20 - m*j with respect to j. -30 Find the third derivative of 258*m**3 + 4524*m**2 - 16*m**4 + 53*m**3 + 6*m**4 + 12*m**4 wrt m. 48*m + 1866 Let c(z) be the second derivative of -203*z**5/20 + z**4/4 + z**3/6 - 89*z**2 + 697*z + 2. What is the second derivative of c(h) wrt h? -1218*h + 6 Let d(n) be the second derivative of -187*n**7/21 + 2*n**6/15 - 3*n**4/4 + 3*n**2/2 + 4800*n. What is the third derivative of d(c) wrt c? -22440*c**2 + 96*c Let h(c) be the second derivative of 267*c**5/10 + 289*c**4/12 - c**3/2 + 1036*c. Find the third derivative of h(f) wrt f. 3204 Suppose -2*c + 1172 = 2*s, 4*s - 2339 = -c - 2*c. Differentiate -s + 153*f + 1019 - 530 wrt f. 153 Let z be 5 + 7 + -4 + -4. Find the second derivative of -383 + z*b**2 - 7*b - 8*b**3 + 382 + 34*b - 3*b**3 wrt b. -66*b + 8 Let w(c) = -121*c**5 - 2*c**4 + 4*c**3 - 5*c**2 - 79*c. Let n(a) = a**4 + 2*a**2 + a. Let g(s) = -2*n(s) - w(s). Find the third derivative of g(d) wrt d. 7260*d**2 - 24 Let o(w) = 4635*w**3 + 3309*w**2 - 15*w. Let m(l) = -4637*l**3 - 3308*l**2 + 18*l. Let x(k) = 5*m(k) + 6*o(k). What is the third derivative of x(b) wrt b? 27750 Let y = -313 + 324. Find the third derivative of -y*n**3 - 15*n**3 + 22*n**2 + 9*n**2 - 9*n**2 wrt n. -156 Let u be 5*145/225 + (-4)/18. Find the second derivative of 6*m**u + m**5 - 4*m**5 + 32*m + 6*m**5 - 10*m**3 wrt m. 60*m**3 - 24*m Suppose -q = 10*q - 33. What is the second derivative of 3*i**2 - 13*i**2 + 8*i**3 + 3*i + 10 + q*i**2 + 9*i**2 wrt i? 48*i + 4 Suppose 20*b - 40 = 15*b. Let x = 13 - b. Find the first derivative of 11*f**4 - 5 - x - 50*f**4 + 0 wrt f. -156*f**3 Let f(x) be the first derivative of -9*x + 36 - 25/2*x**2. Differentiate f(k) wrt k. -25 Let i(h) be the third derivative of 223*h**6/30 - 223*h**5/30 + 445*h**2. Find the third derivative of i(d) wrt d. 5352 Let u(r) be the third derivative of 0 + 0*r**4 - 20*r**3 - 109/30*r**5 + 0*r + 148*r**2. Find the first derivative of u(g) wrt g. -436*g Let b(g) be the first derivative of 13*g**5/60 - 2*g**3/3 - 39*g**2/2 + 10. Let k(t) be the second derivative of b(t). Differentiate k(u) with respect to u. 26*u Find the second derivative of 328*i + 380*i + 153*i**4 + 161*i**4 + 2*i**2 - 40*i**4 + 208*i**4 wrt i. 5784*i**2 + 4 Let b(c) = 25*c**4 - 323*c**3 + 2481*c + 11. Let w(v) = -9*v**4 + 108*v**3 - 827*v - 4. Let s(x) = 6*b(x) + 17*w(x). Find the second derivative of s(q) wrt q. -36*q**2 - 612*q Let u = 102 + -19. What is the third derivative of -15*v**4 + 14379*v + 4*v**3 + u*v**2 - 14379*v wrt v? -360*v + 24 What is the third derivative of 13*d**2 - 45287 - 73*d**6 - 258*d**6 + 45279 + 29*d**6 wrt d? -36240*d**3 Let w(n) be the second derivative of -1 + 0*n**4 + 3/20*n**5 + 21/2*n**2 + 12*n - 1/3*n**3. What is the derivative of w(t) wrt t? 9*t**2 - 2 What is the first derivative of 15*i - 113*i - 2*i**3 + 126*i + 505*i + i**2 - 10167 + 105*i wrt i? -6*i**2 + 2*i + 638 Let x be 3/(-4)*64/(-24). Let o(c) be the second derivative of 0*c**3 + 0*c**4 + 0 - 2*c + 6/5*c**5 - 11/2*c**x. Find the first derivative of o(l) wrt l. 72*l**2 Let w(o) be the first derivative of 97*o**6/30 + 7*o**3/6 - 40*o + 11. Let d(i) be the first derivative of w(i). Find the second derivative of d(y) wrt y. 1164*y**2 Suppose 3*k - 2*d = 1 + 9, 2*d + 2 = -k. Let f(b) be the first derivative of -15/4*b**4 + 16 + 0*b**3 - 13*b + 0*b**k. Find the first derivative of f(p) wrt p. -45*p**2 Suppose -y = -5*n + 38, 13*n + 4*y = 8*n + 23. Find the third derivative of -n*d**4 + 216*d**2 - 2*d**4 + 4*d**3 - 198*d**2 wrt d. -216*d + 24 Let y(p) be the first derivative of -794*p**5/5 + 117*p**2 + 60. Find the second derivative of y(j) wrt j. -9528*j**2 Let u(y) be the second derivative of -y**8/56 + 2*y**7/21 + 157*y**6/6 - 833*y**4/4 + 10*y + 229. Find the third derivative of u(z) wrt z. -120*z**3 + 240*z**2 + 18840*z Find the third derivative of 26315*g**4 + 15*g**2 + 26325*g**4 + 26*g**6 + 8*g**5 - 52640*g**4 - 3*g - 3 wrt g. 3120*g**3 + 480*g**2 Let q be (-10)/(-30) - (-7)/(-3). Let a be q + (3 - 3) + 5. Find the second derivative of -13*n - 177*n**3 + 161*n**3 - a*n wrt n. -96*n Let t(j) = -3*j + 17. Let w be t(3). Let y(f) = 211*f + 73. Let i(b) = -140*b - 49. Let g(m) = w*i(m) + 5*y(m). Find the first derivative of g(c) wrt c. -65 Suppose -7 - 103 = -22*b. What is the third derivative of -24*i**5 - 14*i**5 - 2*i**5 - 9*i**b - 155*i**2 + i**3 + 2*i**5 wrt i? -2820*i**2 + 6 Let d(m) be the second derivative of -1021*m**6/10 - 235*m**2/2 + 418*m. Find the first derivative of d(l) wrt l. -12252*l**3 What is the second derivative of -979*h**3 - 1 + 25 - 1 - 11*h - 799*h**3 - 1264*h**3 wrt h? -18252*h Let g = 11794 + -11794. Let i
{ "pile_set_name": "DM Mathematics" }
81 Let t(b) = 44*b + 2324. What is t(-7)? 2016 Let v(o) = 119*o**2 + 78*o + 630. Determine v(-7). 5915 Let m(d) = -45*d**2 - 403*d - 33. What is m(-11)? -1045 Let g(d) = -185*d**3 - 2*d**2 + 2056*d + 2059. Give g(-1). 186 Let f(z) = 2417*z + 655047. What is f(-271)? 40 Let x(l) = l**2 - 111*l + 1529. Give x(23). -495 Let g(v) = -v**3 + 40*v**2 + 273*v - 32. Determine g(-6). -14 Let r(y) = -19*y**3 - 48*y**2 - 138*y - 15. Determine r(-4). 985 Let s(o) = -2*o**3 - 66*o**2 + 630*o - 1071. Calculate s(-41). -5 Let j(b) = -87*b**2 + 167252*b - 73028. Determine j(1922). 8 Let q(y) = 5*y**3 + 111*y**2 + 529*y - 22. What is q(-15)? 143 Let n(m) = 3*m**2 + 89*m + 29. Determine n(-40). 1269 Let i(f) = -62645*f + 751781. Calculate i(12). 41 Let i(m) = -m**3 - 229*m**2 + 1636*m - 3757. What is i(-236)? 19 Let r(s) = s**2 + 129*s + 699. Calculate r(-4). 199 Let o(i) = -22*i**2 - 1473*i - 209. Calculate o(-67). -276 Let l(k) = k**3 + 4*k**2 - 58*k - 38. Determine l(-9). 79 Let u(n) = -276*n + 54689. Determine u(196). 593 Let z(t) = t**2 - 14136*t + 84795. Determine z(6). 15 Let m(a) = 58*a**2 - 39*a + 144. What is m(6)? 1998 Let x(r) = 2*r**3 + 141*r**2 + 201*r - 295. Give x(-69). 119 Let k(f) = -2*f**3 + 5*f**2 + 138*f - 545. Calculate k(4). -41 Let r(u) = 2*u**2 - 2785*u + 89733. What is r(33)? 6 Let q(g) = g**3 - 84*g**2 + 1594*g + 37. Calculate q(55). -18 Let w(o) = -22*o**3 - 147*o**2 + 31*o + 34. Determine w(-8). 1642 Let l(s) = -5*s**2 + 31276*s + 250522. Calculate l(-8). -6 Let p(u) = -u**3 + 84*u**2 - 1512*u + 224. Determine p(58). -8 Let f(p) = -17407*p - 3777319. Give f(-217). 0 Let g(r) = -3*r**3 + 31*r**2 + 21*r - 621. Determine g(13). -1700 Let d(n) = -2*n**3 + 30*n**2 + 1001*n - 298. What is d(31)? -19 Let t(u) = -u**3 + 5*u**2 + 51*u - 147. Determine t(3). 24 Let r(k) = -4*k**2 - 18536*k - 2828828. Calculate r(-158). 4 Let k(l) = 423*l**3 - 395*l**2 + 5*l - 5. Determine k(1). 28 Let s(h) = -h**3 - 120*h**2 + 865*h - 1299. Give s(-127). 1749 Let h(a) = -a**3 + 65*a**2 - 222*a + 1847. Give h(62). -385 Let o(k) = -229356*k - 458721. What is o(-2)? -9 Let l(h) = 30*h**3 - h**2 - 621*h - 1246. Calculate l(-2). -248 Let u(f) = 18*f**3 - 4*f**2 - 155*f - 234. What is u(0)? -234 Let a(j) = 2909*j - 29095. Give a(10). -5 Let z(q) = -3*q**2 + 906*q - 21522. Determine z(276). 6 Let b(u) = u**2 + 879*u + 20327. Determine b(-23). 639 Let t(u) = 75921*u + 455436. Give t(-6). -90 Let x(d) = -d**2 + 471*d - 39442. Determine x(123). 3362 Let r(y) = -9654*y - 154410. Give r(-16). 54 Let g(d) = 47*d**2 - 307*d + 62. Give g(6). -88 Let o(s) = -5*s**2 - 366*s + 4256. What is o(10)? 96 Let w(u) = 9*u**2 + 1512*u - 541. Give w(-168). -541 Let n(x) = 17593*x + 703768. Determine n(-40). 48 Let c(h) = -2*h**3 - 416*h**2 + 1284*h + 3805. What is c(-211)? 7 Let n(p) = p**2 + p - 178. Calculate n(-30). 692 Let o(m) = -25*m**2 - 142*m + 22. What is o(-10)? -1058 Let n(s) = -1277*s + 14. What is n(1)? -1263 Let k(f) = -3*f**3 - 113*f**2 + 436*f - 137. Give k(-41). -1203 Let l(m) = -85*m**3 + 2*m**2 + 8*m + 10. Determine l(-2). 682 Let s(o) = -381953*o - 6875171. Calculate s(-18). -17 Let i(d) = -6*d**2 + 47*d + 694. What is i(-19)? -2365 Let o(h) = 16607*h - 66467. Give o(4). -39 Let t(b) = b**2 - 11342*b + 979175. Calculate t(87). -10 Let y(m) = -m**2 + 1221*m - 131136. Give y(119). 2 Let t(b) = -800*b**2 + 701*b + 671. Calculate t(-1). -830 Let r(d) = -2*d**3 + 30*d**2 + 731*d - 59. Determine r(28). 25 Let h(p) = -1212*p - 54554. What is h(-45)? -14 Let g(w) = 724*w - 90376. What is g(117)? -5668 Let h(m) = m**3 + 51*m**2 + 519*m - 71. What is h(-37)? -108 Let f(n) = -n**3 + 8*n**2 + 2906*n + 32. What is f(58)? 380 Let q(j) = 7*j**3 - 290*j**2 - 324*j + 18288. What is q(41)? -39 Let w(m) = 19981*m + 79905. What is w(-4)? -19 Let h(n) = -2360555*n + 33047769. Calculate h(14). -1 Let h(i) = i**3 + 21*i**2 + 210*i - 459. Determine h(2). 53 Let p(g) = 5833*g - 857452. Calculate p(147). -1 Let i(y) = 77878*y + 155754. What is i(-2)? -2 Let w(o) = -12*o**3 - 45*o**2 - 7*o + 25. What is w(2)? -265 Let r(z) = z**3 - 103*z**2 + 52*z - 5277. What is r(103)? 79 Let x(b) = -10*b**3 - 53*b**2 + 4*b + 81. What is x(-6)? 309 Let g(k) = 1216*k - 28206. Calculate g(23). -238 Let b(k) = 237*k**2 - 19910*k + 147. Give b(84). -21 Let t(v) = -322*v + 15231. Calculate t(46). 419 Let x(g) = -1785*g - 8750. What is x(-5)? 175 Let f(t) = 7786*t**2 - 31036*t - 3. What is f(4)? 429 Let i(w) = w**3 - 16*w**2 + 38*w - 70. What is i(20)? 2290 Let i(o) = -4501*o - 22425. What is i(-5)? 80 Let j(k) = -98*k**2 - 31*k + 127. What is j(1)? -2 Let t(s) = 16*s**2 + 1558*s + 593. Give t(-97). 11 Let w(a) = 5241*a + 68039. Give w(-13). -94 Let i(r) = 44995*r - 448986. Determine i(10). 964 Let v(z) = -z**2 + 5048*z + 5677261. Give v(-947). -4 Let b(a) = -17*a**2 + 78*a - 18. Give b(10). -938 Let o(g) = -6*g**3 + 432*g**2 + 443*g - 382. What is o(73)? -17 Let k(z) = 8*z**2 - 283*z - 710. Calculate k(-3). 211 Let a(o) = o**3 - 47*o**2 - 2002*o + 189. What is a(74)? -107 Let g(j) = -333*j**2 - 409*j - 35. Give g(-1). 41 Let s(p) = 37136*p - 222827. Determine s(6). -11 Let s(x) = 3*x**2 + 163*x - 6295. Give s(26). -29 Let w(m) = -6519*m + 169462. What is w(26)? -32 Let k(y) = 226*y**2 + 3875*y + 45. What is k(-17)? -516 Let k(y) = -2568*y - 410882. Give k(-160). -2 Let h(b) = -1710*b - 333454. What is h(-195)? -4 Let p(z) = -396*z**2 - 24952*z + 12. Determine p(-63). 264 Let o(r) = 5*r**2 - 1669*r - 6638. Calculate o(-4). 118 Let p(x) = 4359*x + 87314. Give p(-20). 134 Let a(h) = -3496*h - 160785. Determine a(-46). 31 Let m(j) = -3*j**3 - 197*j**2 + 7482*j + 647. Determine m(27). -1 Let x(q) = -752*q - 157366. Give x(-209). -198 Let p(s) = 3*s**3 + 12702*s - 38098. Determine p(3). 89 Let j(m) = 28792*m - 460676. What is j(16)? -4 Let l(b) = 4*b**3 - 194*b**2 + 94*b + 94. Give l(48). -2 Let l(s) = 170461*s - 21307626. What is l(125)? -1 Let j(v) = -2*v**3 - 62*v**2 + 178*v + 129. Give j(-33). -1389 Let u(c) = 77*c**2 + 308*c - 58. What is u(-5)? 327 Let q(n) = -234997*n - 2819974. Determine q(-12). -10 Let v(b) = -5*b**3 - 22*b**2 - 12*b - 62. What is v(-8)? 1186 Let i(x) = x**3 - 26*x**2 + 30*x - 2390. What is i(28)? 18 Let y(c) = 4*c**2 - 4*c - 9. Calculate y(3). 15 Let j(k) = k**3 + 273*k**2 + 2874*k - 2102. Give j(-262). -6 Let i(y) = -28640*y + 773290. Calculate i(27). 10 Let q(m) = 690*m**2 - 3381*m - 341. Determine q(5). 4 Let t(q) = 305745*q + 1222863. Determine t(-4). -117 Let i(w) = -183569*w + 2753537. Determine i(15). 2 Let w(b) = -36074*b + 3607401. Determine w(100). 1 Let i(l) = -40*l**3 + 10*l**2 + 13*l - 17. Give i(1). -34 Let d(n) = 101*n**2 + 237*n + 1259. What is d(-5)? 2599 Let q(w) = 3*w**3 - 204*w**2 + 560*w - 10793. What is q(66)? 31 Let n(h) = 118*h**3 - 168*h**2 + 134*h + 33. What is n(1)? 117 Let k(x) = -462*x - 17938. Calculate k(-39). 80 Let u(b) = 3335*b**2 + 9993*b - 21. What is u(-3)? 15 Let y(g) = 154*g + 1179. Give y(2). 1487 Let a(c) = -c**3 - 217*c**2 + 15299*c + 2884. Calculate a(-273). -119 Let s(w) = 663*w + 58947. Determine s(-89). -60 Let x(r) = 227*r + 1640. Calculate x(-8). -176 Let b(j) = 7*j**3 + 220*j**2 - 900*j - 865. Give b(-35). 10 Let m(v) = v**3 - 25*v + 277. Determine m(7). 445 Let s(c) = -c**2 + 1064*c + 62683. Calculate s(-56). -37 Let g(f) = 6*f**2 + 907*f - 2723. Calculate g(3). 52 Let o(r) = 21*r**2 - 1012*r - 26868. Give o(-19). -59 Let t(r) = -4586*r - 545786. Give t(-119). -52 Let u(q) = 16*q**2 + 3936*q + 133. Determine u(-246). 133 Let u(i) = 5*i**2 - 681*i + 8573. Calculate u(14). 19 Let h(q) = -17374*q + 521213. What is h(30)? -7 Let a(t) = -197*t**2 - 8085*t + 101. What is a(-41)? 429 Let r(o) = 44848*o - 493320. Calculate r(11). 8 Let j(m) = 5*m**3 + 20*m**2 + 44*m + 126. Calculate j(-5). -219 Let a(b) = b**3 + 481*b**2 + 42060*b - 10950. Determine a(-366). 30 Let o(l) = 4*l**2 + 215*l - 1030. Determine o(5). 145 Let s(q) = -23*q**2 + 427*q + 619. Determine s(20). -41 Let k(d) = -49*d**2 + 4301*d - 4243. Calculate k(1). 9 Let l(b) = b**2 + 53*b - 2583. What is l(-85)? 137 Let u(i) = -20*i**2 + 4480*i - 85248. Give u(21). 12 Let n(c) = 5115*c + 86963. Determine n(-17). 8 Let f(q) = -q**2 + 423*q + 65196. Determine f(-120). 36 Let m(g) = 16*g**2 -
{ "pile_set_name": "DM Mathematics" }
/4))**(1/4)) assuming h is positive. h**(-543/16) Simplify ((((d/d**(-13))**(-12))**(-2/5))**(16/7))**4 assuming d is positive. d**(3072/5) Simplify (y**5*y*y/y**(-1)*y*y**(-1/6)*y**(-7))/(y**(-4/7)/y**9)**32 assuming y is positive. y**(12941/42) Simplify (i**1/i**(-1/10))/(((i**5/i)/i*i)/i**(-4/5))*(i*i**(2/7))**(1/32)*i**6*i**(-3/4) assuming i is positive. i**(1781/1120) Simplify ((d/((d/(d**(-3/5)/d))/d)*(d/d**(1/3))/d)/(d**(-1/5)/(d*d**(1/3))))/((d**(-1/4))**(-10))**(-50) assuming d is positive. d**(628/5) Simplify ((h**6*h)**(-10)/(h*h*h**2*h*h**(-8/3)))**(18/13) assuming h is positive. h**(-1302/13) Simplify ((g*g/(g*g/g**(-1)))**(1/2)*(g**(2/9))**29)/(g**(-2/15)/(g**13*g))**(-1/17) assuming g is positive. g**(7823/1530) Simplify ((((l*l*l**(19/4))/l)/(l*l/l**(2/25)*l))/(((l/l**(-38))/l)/(l/(l*(l/(l**(-5/7)/l*l*l))/l*l))))**(-5/4) assuming l is positive. l**(25119/560) Simplify z**6/(z/(z*z**1))*z**(4/11)*z**5*z*(z**(5/2)*z**(-1/3))**(-1/8) assuming z is positive. z**(6913/528) Simplify (f**(-2/51)*f*f**(-8)*(f*f*f**2)**(-14/13))**18 assuming f is positive. f**(-45138/221) Simplify (z*z/(z/z**16)*z*(z**(1/11)/z)/z*z**(-2/19)/z**(-7))**(-2/81) assuming z is positive. z**(-9608/16929) Simplify ((i**2/(i*i**(-1/4)*i))/(i**4*i**(2/7)))/((i**(-2/5))**13*((i*i**1)/i)**(-3/7)) assuming i is positive. i**(223/140) Simplify ((i**(-2/3))**(-36))**(-1/20)/((i*i/(i/(i/i**11)))/i**(1/14))**(1/11) assuming i is positive. i**(-289/770) Simplify ((v/(v*v**(-4))*v/v**(-4/9))/(v*v**(-2/9))**(7/4))/((v*v**12)/(((v/(v*v*v**(1/17)*v))/v)/v))**(3/14) assuming v is positive. v**(611/1428) Simplify l/l**4*(l**(-1)*l)/l*l**(-1/3)/l**(-8)*l/l**(2/11)*l**6*l*(l**1*l)**35 assuming l is positive. l**(2689/33) Simplify ((s*s**(-2/11)*s*s*s)/(s*s**(8/3)))**(-1)*(s*s**0)**(2/7)*(s*s**(-5))/s**(1/7) assuming s is positive. s**(-926/231) Simplify ((p/p**6*p**(4/9))/((p/p**(2/5))/p*p/(p*p**(1/4))))/((p**(-2/5))**(-2/27))**20 assuming p is positive. p**(-2429/540) Simplify g/(g*g*g/(g**(-20)*g)*g)*g**(1/23)*g**(-39)/((g/((((g**0/g)/g)/g)/g)*g*g)/g) assuming g is positive. g**(-1540/23) Simplify (((s**(-2/11)*s**9)**(2/9))**(-1/2))**49 assuming s is positive. s**(-4753/99) Simplify ((t*t**(1/3)*t*t*t*t*t)/t**(-3/5))**(-1/15)*((t*t/((t*t/t**(1/5))/t)*t*t)/(t*t**(3/8)*t))/(t**(-1/2)/t*t/t**(1/9)) assuming t is positive. t**(1753/1800) Simplify ((j**(2/5)*(((j/(j/(j/(j**(-1)/j*j))*j))/j)/j)/j)/((j/(j/j**0))/(j*j**(-2/3)/j)))/(j**(-11)*j**(2/5)/j)**(41/5) assuming j is positive. j**(6964/75) Simplify (((t**(3/7)*t)/t**(1/4))/(t**4*(t*((t*t/((t/((t/(t*t**7*t))/t)*t*t)/t))/t)/t*t*t)/t))/((t**2)**(-2/7))**(-29) assuming t is positive. t**(-291/28) Simplify ((((l**7/l)/(l**6/l))/(l*l**1*l/(l**(-2)*l)))**(1/40))**19 assuming l is positive. l**(-57/40) Simplify ((m/((m*m**1)/m))/m)**(-3/35)/(m/(m/(m/(m*m**2/m*m))*m)*m**0)*(m/((m**1/m*m)/m))**(-2/41)/(m**(-3/8)*m*m**4) assuming m is positive. m**(-18231/11480) Simplify (m**(1/11)*m*m/(m**0*m)*m)**(-13/2)/((m**(-2))**(2/63))**16 assuming m is positive. m**(-17429/1386) Simplify (((h/h**(-2))/h*h*h)**(7/3))**(-1/13)/((((h/h**(1/4))/h)/h)**(-22)/((h/h**(2/9))/h*h**3*h)) assuming h is positive. h**(-5719/234) Simplify (((m**1/(m/(m*m*m**(-4)*m*m)))/(m/m**1*m/(m*m**(2/3)*m)*m))**(-22))**11 assuming m is positive. m**(-484/3) Simplify (((g*g**(2/7)*g)/g)/g**4*(g*(g/(((g/((g/(g*(((g/(g/g**(-1/9))*g)/g)/g*g*g*g)/g*g*g*g))/g))/g)/g))/g)/g**(-6))**(2/93) assuming g is positive. g**(50/5859) Simplify ((i/(i/i**(1/2)))/i*i*i*i*i**(-4/13)*i)**(-13)*(i**9/i**(2/23))**(-17) assuming i is positive. i**(-8879/46) Simplify ((k/k**(3/8))/(k/(k*k/k**5)*k))**(-3/37)*((k**(-2/5)/k)**8)**(3/28) assuming k is positive. k**(-1251/1480) Simplify ((w**(-2/7))**(-1/55))**(-39)/((w*w*w**(2/5)*w*w/(w*w/w**(-1/11))*w)/(w**(-6)*(w*w*w/(w*w**(-4))*w*w)/w)) assuming w is positive. w**(-967/385) Simplify a*a**1*a**0*a*((a/(((a*a**0)/a)/a))/a*a)**(-15)*(a**(-2/13)/a**(-3))/(a**6/(a**3/a)) assuming a is positive. a**(-366/13) Simplify ((((n**(-2/3))**(-5))**(-4/7))**(4/7))**9 assuming n is positive. n**(-480/49) Simplify ((j**0)**(1/58)*(j**(1/2))**(-29))/((j/(j/j**(2/9)))**(-18)/(j**1*j/(j*(j/j**(-1/5))/j*j*j))) assuming j is positive. j**(-117/10) Simplify (m**1/m*m*m*(m*m/(m*m*m**(-4/5)))/m*m)/(m**(-1)*m*m**(-1/7))*((m**2/m*m)**(-24))**(-42) assuming m is positive. m**(70663/35) Simplify (u*u/u**(-2/3)*u*u*(u*u*u**12*u)/u*u)**(-9/10)/(u**(-8)*u**(-2/27)/u*(u/u**(-8)*u*u)/(u*u**(7/5))) assuming u is positive. u**(-4651/270) Simplify (n/n**4*n*n**(-4/5))/((n/(n/n**(-2/3))*n)/(n**(-6)*n))*n**1/(n*n**(2/3))*(n**(1/4)*n*n)/((n**(1/4)/n*n*n)/n) assuming n is positive. n**(-34/5) Simplify ((i/(i/(i*i*i**(-11/7)*i)*i*i))/(i/(i/(i/((i**(-2/73)/i)/i))))*(i/(i*i/i**(-29)))**(-33))**(-41) assuming i is positive. i**(-20666091/511) Simplify ((z**(-1)/z)/z)**(-3/2)*((z/z**(1/5)*z*z)/z)/z**4*z**1*z**(-1)*(z/z**3)/z*z**(-2) assuming z is positive. z**(-27/10) Simplify f**(-1/8)/(f/(f/f**(7/6)))*f*f*f*(f*f*f**7*f)/f*f**3*(f/(f**(2/7)/f))**(-10)*(f/(f*f**(-1)/f*f))**(5/8) assuming f is positive. f**(-59/21) Simplify ((x**(2/15))**(-17/2)/(x**(-10)/((x*x**(-10))/x)))**(-1/16) assuming x is positive. x**(17/240) Simplify (u/(u/(u**(-4/5)*u))*u*u**(-1)*u)/(u**(-2/21)/u**(-2/7))*(u**(-4/9)*u**(-1/7))/((u**(-6)*u)/u**(2/5)) assuming u is positive. u**(262/45) Simplify (s**(-3/14)*s*s*s**(-25))/((s*((s**(-15/4)*s)/s*s)/s)/(s*s**(-34))) assuming s is positive. s**(-1497/28) Simplify ((s*s*s**2)**(-3/5)*((s*(s**(-1/7)*s*s)/s)/s)**(-3/11))**12 assuming s is positive. s**(-12168/385) Simplify ((n/n**4)/(n**(-1)/n))**(3/40)*((n**(-1/4))**48)**(10/13) assuming n is positive. n**(-4839/520) Simplify (((w**(-2/3)*w)/(w*((w/((w*w**(-1/6)/w)/w))/w)/w))/(w/(w*w**1))**(-2/89))/((w**(1/4)/w)**(-21/4)*(w**1*w)**(-8/13)) assuming w is positive. w**(-197849/55536) Simplify (z**34/z**(-28))/((z/(z*z**36*z*z))/z**(-9/7)) assuming z is positive. z**(691/7) Simplify (l**(-9)*l**27*(l*l**24)/l**2)**(-1/61) assuming l is positive. l**(-41/61) Simplify u**6/(u*u**6/u)*(((u/(u/u**6*u*u*u*u*u))/u)/u*u)/(u*u*u/u**(1/9)*u)*((u**(1/2))**(-21))**(-12/11) assuming u is positive. u**(749/99) Simplify n**(2/11)*(n/(n*n*n**6))/n*(n**(-1))**(-1/25)*n*n**0*n**(-4/9)*(n*(n**2*n)/n)/(n**2*n) assuming n is positive. n**(-17876/2475) Simplify (((w**10/w)/w)/(w/w**(-2/49))*(w**(-1/16)/w*w)**(-6/5))**43 assuming w is positive. w**(592841/1960) Simplify (((y/(y**(1/12)*y))/y)**(-33)*y**(13/5)/(y*y**28*y*y*y))**9 assuming y is positive. y**(1143/20) Simplify ((p*p/(p/((p*p**(-9))/p)))/p**(-36)*p/((p**(-36)/p)/p)*p**(-47))**(-40) assuming p is positive. p**(-800) Simplify z**(-1/65)/(z/z**(-35))*z**(-4/33)/(z*z**(-7/3)) assuming z is positive. z**(-74653/2145) Simplify ((s**(-9)/s)**14*(s**(2/73))**(3/2))**(-3) assuming s is positive. s**(30651/73) Simplify (k*k*k/(k**21/k)*k*k**24/k*k*k*k*k**(6/19)*k/k**20)**20 assuming k is positive. k**(-3300/19) Simplify ((y**(-2/15)*y)**(2/71)*y**(2/9)/y**7)**9 assuming y is positive. y**(-21577/355) Simplify i**(-1/7)*i*i*i**(-2/7)*i*i*i*(i**(-1/2)/i)**(-14)*(i/((i/(i**(-3/7)*i))/i*i))/(i**2/i)*(i**(-1))**(-1/3) assuming i is positive. i**(535/21) Simplify ((g/((g**(-1/44)*g)/g))/g**(1/5))/((g/(g*g**(-5/6))*g)/g**(-22)) assuming g is positive. g**(-15187/660) Simplify ((w*w/w**(-1/2))**(-1/43)/(w/(w*w*(w/w**(-1))/w*w))**(-2/151))/((w*w**3/w)/(w/w**(-1/4)))**(-6) assuming w is positive. w**(67541/6493) Simplify ((t**(1/7)*t)/(t*t/(t*t**(4/3))*t))**(3/22)/((t**(-1/3)/t)/t**(-1/3)*(t*t/(t*t**0))/(t**0/t)) assuming t is positive. t**(-72/77) Simplify (((h*h**2)/h)**23)**50/((h**(4/3)*h**(-1))/((h**(3/2)*h)/h*h*h**(-2/15)/h)) assuming h is positive. h**(69031/30) Simplify (i**1/i*i)**(1/77)/(i**6*i/(i/((i/i**(2/11))/i)))*(((i**(-2/11)*i)/i)**(3/5))**(5/2) assuming i is positive. i**(-468/77) Simplify (d**(-2/5)*d/(d*d**29/d))/(d/d**39*d*d/(d*d**33*d*d)) assuming d is positive. d**(218/5) Simplify (q*q/(q/(q*q/q**(-5)))*q*q**(-23)*q*(q/q**(3/13))**12)**(-7/5) assuming q is positive. q**(343/65) Simplify (o**1)**(-2/177)*((o*o/(o**(-1)*o)*o)/o)**(4/17)*(o/(o*o*o**(-5)))/(o*(o/(o*o*o**(1/9)))/o*o)*o*o**(-7)/o*o*o**(-4/5) assuming o is positive. o**(-100633/45135) Simplify (((l/((l*l**(1/4))/l)*l)**
{ "pile_set_name": "DM Mathematics" }
and 9:10 AM? 685 What is 677 minutes before 2:49 PM? 3:32 AM How many minutes are there between 3:23 PM and 7:23 PM? 240 What is 620 minutes after 11:49 AM? 10:09 PM How many minutes are there between 3:04 PM and 9:43 PM? 399 What is 175 minutes before 4:02 PM? 1:07 PM What is 496 minutes after 2:24 AM? 10:40 AM What is 88 minutes after 1:56 AM? 3:24 AM What is 675 minutes before 3:13 PM? 3:58 AM What is 496 minutes before 4:27 AM? 8:11 PM How many minutes are there between 4:03 PM and 3:18 AM? 675 How many minutes are there between 2:06 PM and 12:22 AM? 616 How many minutes are there between 1:49 AM and 6:44 AM? 295 How many minutes are there between 12:23 AM and 6:37 AM? 374 What is 504 minutes after 5:19 PM? 1:43 AM What is 104 minutes after 5:40 PM? 7:24 PM What is 172 minutes after 5:23 PM? 8:15 PM How many minutes are there between 1:55 PM and 12:05 AM? 610 How many minutes are there between 4:50 AM and 11:35 AM? 405 How many minutes are there between 5:17 PM and 2:30 AM? 553 How many minutes are there between 1:57 PM and 6:00 PM? 243 What is 255 minutes before 9:37 PM? 5:22 PM What is 421 minutes before 1:45 PM? 6:44 AM How many minutes are there between 9:41 AM and 7:14 PM? 573 What is 195 minutes before 1:20 PM? 10:05 AM How many minutes are there between 4:46 AM and 1:08 PM? 502 What is 399 minutes before 7:51 PM? 1:12 PM What is 35 minutes after 7:13 AM? 7:48 AM How many minutes are there between 3:07 PM and 3:59 PM? 52 How many minutes are there between 7:46 AM and 9:33 AM? 107 What is 528 minutes after 1:25 AM? 10:13 AM How many minutes are there between 11:48 AM and 11:16 PM? 688 How many minutes are there between 2:40 PM and 3:24 PM? 44 What is 317 minutes after 7:17 PM? 12:34 AM What is 589 minutes before 6:36 AM? 8:47 PM How many minutes are there between 8:42 AM and 4:28 PM? 466 How many minutes are there between 8:21 AM and 10:37 AM? 136 What is 691 minutes before 10:52 AM? 11:21 PM How many minutes are there between 5:56 PM and 12:38 AM? 402 How many minutes are there between 9:49 AM and 6:02 PM? 493 What is 135 minutes after 5:48 AM? 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107 How many minutes are there between 6:04 PM and 10:56 PM? 292 What is 238 minutes before 1:21 PM? 9:23 AM What is 324 minutes after 2:26 PM? 7:50 PM How many minutes are there between 11:44 AM and 6:38 PM? 414 How many minutes are there between 12:40 AM and 2:12 AM? 92 How many minutes are there between 8:30 AM and 3:49 PM? 439 What is 528 minutes before 11:10 PM? 2:22 PM How many minutes are there between 4:16 PM and 11:28 PM? 432 How many minutes are there between 5:52 PM and 6:17 PM? 25 How many minutes are there between 2:15 AM and 4:43 AM? 148 What is 63 minutes before 3:26 AM? 2:23 AM What is 538 minutes after 3:06 PM? 12:04 AM What is 719 minutes after 12:49 PM? 12:48 AM What is 703 minutes before 5:06 PM? 5:23 AM What is 493 minutes before 10:08 PM? 1:55 PM How many minutes are there between 3:39 AM and 9:03 AM? 324 How many minutes are there between 10:34 AM and 6:47 PM? 493 What is 572 minutes before 11:35 AM? 2:03 AM What is 504 minutes before 10:59 PM? 2:35 PM What is 367 minutes after 3:15 PM? 9:22 PM What is 501 minutes after 2:14 AM? 10:35 AM What is 520 minutes after 6:28 AM? 3:08 PM How many minutes are there between 12:28 PM and 6:56 PM? 388 What is 82 minutes after 6:41 AM? 8:03 AM How many minutes are there between 3:17 AM and 3:04 PM? 707 How many minutes are there between 7:47 AM and 12:02 PM? 255 How many minutes are there between 3:44 AM and 12:28 PM? 524 What is 172 minutes after 12:39 AM? 3:31 AM What is 328 minutes before 9:50 PM? 4:22 PM What is 130 minutes after 10:33 PM? 12:43 AM How many minutes are there between 10:50 PM and 12:34 AM? 104 How many minutes are there between 8:09 PM and 3:33 AM? 444 How many minutes are there between 4:13 AM and 1:01 PM? 528 What is 166 minutes after 5:23 PM? 8:09 PM How many minutes are there between 9:29 AM and 8:03 PM? 634 What is 89 minutes after 7:53 AM? 9:22 AM How many minutes are there between 1:58 PM and 8:04 PM? 366 How many minutes are there between 9:22 PM and 3:15 AM? 353 How many minutes are there between 7:11 AM and 9:45 AM? 154 How many minutes are there between 11:11 PM and 9:22 AM? 611 What is 120 minutes before 9:19 PM? 7:19 PM What is 320 minutes after 4:19 AM? 9:39 AM How many minutes are there between 12:24 AM and 9:48 AM? 564 What is 429 minutes after 10:09 AM? 5:18 PM How many minutes are there between 1:37 AM and 12:49 PM? 672 What is 697 minutes before 5:12 PM? 5:35 AM What is 104 minutes after 9:34 AM? 11:18 AM How many minutes are there between 5:32 PM and 6:35 PM? 63 What is 663 minutes before 5:26 AM? 6:23 PM What is 186 minutes before 5:48 AM? 2:42 AM How many minutes are there between 12:33 PM and 1:55 PM? 82 What is 186 minutes after 2:26 PM? 5:32 PM How many minutes are there between 4:52 PM and 9:55 PM? 303 What is 636 minutes before 11:18 AM? 12:42 AM How many minutes are there between 4:36 AM and 1:24 PM? 528 What is 507 minutes before 10:05 AM? 1:38 AM How many minutes are there between 2:04 AM and 7:25 AM? 321 What is 578 minutes before 6:01 AM? 8:23 PM How many minutes are there between 2:08 PM and 9:
{ "pile_set_name": "DM Mathematics" }
-3, -40, -4, 4 in ascending order. -40, -4, -3, 4, 13 Sort 1, -24, -305, 2 in decreasing order. 2, 1, -24, -305 Sort -0.5, -0.3, -6, 9 in descending order. 9, -0.3, -0.5, -6 Sort -11, 233/7, 3, -20 in increasing order. -20, -11, 3, 233/7 Sort -2, -1173, 20 in descending order. 20, -2, -1173 Sort -12, 2, -4, -3, 5, -34 in descending order. 5, 2, -3, -4, -12, -34 Sort 23, -2, -17, 4, -2/5. -17, -2, -2/5, 4, 23 Sort 796, -0.036, -2/7, 0.06. -2/7, -0.036, 0.06, 796 Sort 5, -0.35, -1.2, -0.5, -0.03 in decreasing order. 5, -0.03, -0.35, -0.5, -1.2 Put 49, 4, -1, 59 in descending order. 59, 49, 4, -1 Sort 2/7, 0.11, -1, 2/17, 958, -3 in decreasing order. 958, 2/7, 2/17, 0.11, -1, -3 Sort -2, -0.1, -436, 0.06, -0.4 in descending order. 0.06, -0.1, -0.4, -2, -436 Put 2, 20414, -1, 0 in ascending order. -1, 0, 2, 20414 Sort 0, 2, -4, 6, -1. -4, -1, 0, 2, 6 Sort 5, 28, 23, 2, -4 in ascending order. -4, 2, 5, 23, 28 Put 13, -0.011, -0.8, -0.5 in descending order. 13, -0.011, -0.5, -0.8 Sort -2/17, -0.5, -3, -0.2, 4/9. -3, -0.5, -0.2, -2/17, 4/9 Sort -0.4, -2, -43.6, -1/4 in descending order. -1/4, -0.4, -2, -43.6 Sort -3931, 0.4, -0.4. -3931, -0.4, 0.4 Sort 3, 4, 2, -3, -6, 20 in ascending order. -6, -3, 2, 3, 4, 20 Sort -481, -285, 3 in ascending order. -481, -285, 3 Sort 683, 10, -6 in descending order. 683, 10, -6 Sort 9/20, 0.2, -252, 11/3 in increasing order. -252, 0.2, 9/20, 11/3 Sort 1, -40, -69, 2, -3, -6 in increasing order. -69, -40, -6, -3, 1, 2 Sort 4, 299, 82, -2 in decreasing order. 299, 82, 4, -2 Sort 0, 0.5, -27, -0.2, 7, 4. -27, -0.2, 0, 0.5, 4, 7 Put 3, 5, -5, 464, -1 in ascending order. -5, -1, 3, 5, 464 Put 6, -4, -144 in ascending order. -144, -4, 6 Put 5, 0.1137, 1.3, 0, 0.3, -1 in descending order. 5, 1.3, 0.3, 0.1137, 0, -1 Sort -3/8, 7, -261, -0.2. -261, -3/8, -0.2, 7 Put 2/29, 3, -2/919 in decreasing order. 3, 2/29, -2/919 Sort -1, -12/5, -3/20, 1/3, 2, -1.3. -12/5, -1.3, -1, -3/20, 1/3, 2 Sort 274, 1, 0. 0, 1, 274 Put -2182, -1.66, 0, 3/5 in descending order. 3/5, 0, -1.66, -2182 Sort 0, 71, 770. 0, 71, 770 Sort 0, -5, -4, 15 in decreasing order. 15, 0, -4, -5 Sort 0.1, -3, -169, -5, -0.5, 0 in ascending order. -169, -5, -3, -0.5, 0, 0.1 Sort -2/7, -0.11, -3, 1378, 4, -1 in ascending order. -3, -1, -2/7, -0.11, 4, 1378 Sort 1/973, -4, 6, 0.3, 2/3 in ascending order. -4, 1/973, 0.3, 2/3, 6 Put 950, 4, -4 in descending order. 950, 4, -4 Sort 1, -3, -5, 4, -167, -4 in ascending order. -167, -5, -4, -3, 1, 4 Sort 5, 0.1, 0.00341. 0.00341, 0.1, 5 Sort 5/59, -2, 1.2, 1/16, -4 in ascending order. -4, -2, 1/16, 5/59, 1.2 Sort -14, -47, -3, 3 in decreasing order. 3, -3, -14, -47 Put 583, -2, 253 in decreasing order. 583, 253, -2 Put -3, 2, -9, -4, 6, -2 in increasing order. -9, -4, -3, -2, 2, 6 Sort -1, -2, -153, 1, 59, 15. -153, -2, -1, 1, 15, 59 Sort -722, 5, -10, 3. -722, -10, 3, 5 Put -2/5, -39, -8, -38, 2/3 in decreasing order. 2/3, -2/5, -8, -38, -39 Sort 4, 3, 1, 80 in descending order. 80, 4, 3, 1 Sort -1, 0.5, -2/15, -7, 132, 13 in decreasing order. 132, 13, 0.5, -2/15, -1, -7 Put -5, 25, -2, -4, -1, -3 in decreasing order. 25, -1, -2, -3, -4, -5 Put -4/113, 1, 9 in decreasing order. 9, 1, -4/113 Sort 2, 4, 1, 3, 230 in decreasing order. 230, 4, 3, 2, 1 Put -4, -5, 41109 in decreasing order. 41109, -4, -5 Sort -5810, -4, 3. -5810, -4, 3 Sort -50/103, -1, 0, 5, -4/7. -1, -4/7, -50/103, 0, 5 Sort 4, 28, -4. -4, 4, 28 Sort -0.06, -2/11, 645, 0, 0.02. -2/11, -0.06, 0, 0.02, 645 Sort -1, -298, 34. -298, -1, 34 Sort -4, 0, -840, -5 in descending order. 0, -4, -5, -840 Put 11, 19.4, 3/5, -3/8 in descending order. 19.4, 11, 3/5, -3/8 Sort -4/3, 114/145, -2 in increasing order. -2, -4/3, 114/145 Sort 1, -3, 78. -3, 1, 78 Sort -2/3, -3, 0.08, -42, 0.1, 2/19 in decreasing order. 2/19, 0.1, 0.08, -2/3, -3, -42 Sort 10, -1, 5, 36, 0, 4. -1, 0, 4, 5, 10, 36 Sort 0, 13/2, 0.3, -288 in descending order. 13/2, 0.3, 0, -288 Put -1.686, -3, 1/3 in ascending order. -3, -1.686, 1/3 Put 2, 17, -64/7, 1/8 in descending order. 17, 2, 1/8, -64/7 Sort 14/51, -0.8, -9/7, -2/21. -9/7, -0.8, -2/21, 14/51 Put -15, -2, 1, -42, -3 in increasing order. -42, -15, -3, -2, 1 Sort 10, 1, 0.5, 1/5, -0.3, -7. -7, -0.3, 1/5, 0.5, 1, 10 Sort 3, 202, -15. -15, 3, 202 Sort -5, -24929, -2, -0.2 in descending order. -0.2, -2, -5, -24929 Put 0.3, -3056, -4 in descending order. 0.3, -4, -3056 Put 1, -5, 5470, 3, 0, -3 in increasing order. -5, -3, 0, 1, 3, 5470 Sort 24, 3.8, 0.3, 1/4 in descending order. 24, 3.8, 0.3, 1/4 Sort 1/73, 0.2, -0.5, 2, 1, -3. -3, -0.5, 1/73, 0.2, 1, 2 Sort 2, -5243, -12. -5243, -12, 2 Put 0, -1/3, 1911, 3 in descending order. 1911, 3, 0, -1/3 Put -3/10439, -2/95, 1, 1/9 in decreasing order. 1, 1/9, -3/10439, -2/95 Sort 67.5622, 0.1, -3. -3, 0.1, 67.5622 Put 0.4, -0.7, 2/13, -449, 1, 0.2 in descending order. 1, 0.4, 0.2, 2/13, -0.7, -449 Sort 2, 2050, -1, 10 in decreasing order. 2050, 10, 2, -1 Sort -4043, -1/9, 34 in decreasing order. 34, -1/9, -4043 Sort 2, 4, 10, 293, 3, 5 in decreasing order. 293, 10, 5, 4, 3, 2 Sort 7, -3/11, 3/4, -0.09, -0.5. -0.5, -3/11, -0.09, 3/4, 7 Sort -109, -4, 2/239, -2, -1. -109, -4, -2, -1, 2/239 Sort 21, 4, 5, 0, -164, 3 in descending order. 21, 5, 4, 3, 0, -164 Sort 83, -10, 17, 3, -2 in increasing order. -10, -2, 3, 17, 83 Sort 19, -4, 14, -218 in descending order. 19, 14, -4, -218 Put 0, 14, 5, -4, 33, -1 in descending order. 33, 14, 5, 0, -1, -4 Sort -309, -1/9, 0, -3/5, -2/7 in increasing order. -309, -3/5, -2/7, -1/9, 0 Sort -4, 1/838, 4.9, 3 in descending order. 4.9, 3, 1/838, -4 Put -19, -180, 2, 11 in increasing order. -180, -19, 2, 11 Sort -5, 12805, -4 in decreasing order. 12805, -4, -5 Sort 31, -17, -4, 0, -9 in decreasing order. 31, 0, -4, -9, -17 Put 1/3, 2/19, -2, -3, -6 in descending order. 1/3, 2/19, -2, -3, -6 Sort 2, 17, -48, 3, -3, -28 in descending order. 17, 3, 2, -3, -28, -48 Sort 2, 0, -2, -1, -179 in decreasing order. 2, 0, -1, -2, -179 Sort -7/3, -1/6, -2/39 in increasing order. -7/3, -1/6, -2/39 Put -8/17, 6/187, 0.5 in decreasing order. 0.5, 6/187, -8/17 Sort 9340, 5, -11 in descending order. 9340, 5, -11 Put 0, 34, -191, -65 in increasing order. -191, -65, 0, 34 Put -1/2, -12, 3.5, -0.2, -2/3 in decreasing order. 3.5, -0.2, -1/2, -2/3, -12 Sort 2972, -1, -0.02, -3 in descending order. 2972, -0.02, -1, -3 Sort -4, 303.9, 4/7 in descending order. 303.9, 4/7, -4 Sort -0.4, 0.01, 0.2, 1392, 0 in decreasing order. 1392, 0.2, 0.01, 0, -0.4 Put 0.1, 10/3, -0.229, 0, 1 in decreasing order. 10/3, 1, 0.1, 0, -0.229 Put -2, -0.15, -4, -4.356 in increasing order. -4.356, -4, -2, -0.15 Put -25, -5, -17, -1, 8, 3 in descending order. 8, 3, -1, -5, -17, -25 Sort -2/13, 3/5, 7421.9. -2/13, 3/5, 7421.9 Sort 56.9, 2, 3/2, 0.2. 0.2, 3/2, 2, 56.9 Sort 3/7, -4, -0.03, -8, -2/49. -8, -4, -2/49, -0.03, 3/7 Sort -5, 5, 2, 142, 43, -4. -5, -4, 2, 5, 43, 142 Put -5, 0, -28, 531, 4 in decreasing order. 531, 4, 0, -5, -28 Sort 3, -4, 0, 2, -6, -1901 in descending order. 3, 2, 0, -4, -6, -1901 Sort 1, -2, -0.1, 0.6, -3, 22 in ascending order. -3, -2, -0.1, 0.6, 1, 22 Sort 18, 37, -18, -1, -5, -4 in increasing order. -18, -5, -4, -1, 18, 37 Sort 15, 21, 1, 4, 40, 0.5. 0.5, 1, 4, 15, 21, 40 Sort -1, 30901, -3 in ascending order. -3, -1, 30901 Put -82, 5, -46 in decreasing order. 5, -46, -82 Sort -0.2, 2/3, 4, -27, -4. -27, -4, -0.2, 2/3, 4 Sort -1, 3, -44, -4, 718 in descending order. 718, 3, -1, -4, -44 Sort -21, -348.2, 2/11 in descending order. 2/11, -21, -348.2 Sort 1, 35, -12, 206 in decreasing order. 206, 35, 1, -12 Sort 2, -1, -11, -725, 0 in ascending order. -725, -11, -1, 0, 2 Sort -157, -0.2, 5/6, -8. -157, -8, -0.2, 5/6 Sort -3, -0.0158, 4, -4, -5/6 in decreasing order. 4, -0.0158, -5/6, -3, -4 Sort 6.3, -64/243, 2. -64/243, 2, 6.3 Sort 46, 67, -5, -14 in decreasing order. 67, 46, -5, -14 Put 1/5, -14, 5, -2/39, 1/6 in decreasing order. 5, 1/5, 1/6, -2/39, -14 Sort -3, -5, 5, 4, -4, 3489. -5, -4, -3, 4, 5, 3489 Put 0.07, -644, 0.5, 3.2, 1 in ascending order. -644, 0.07, 0.5, 1, 3.2 Put 1, -300, 92 in descending order. 92, 1, -300 Put -50, 3/2, 0.5, -51, 2/75 in descending order. 3/2, 0.5, 2/75, -50, -51 Put -172, -280, 5 in decreasing order. 5, -172, -280 Put -4, -56, 7 in ascending order. -56, -4, 7 Pu
{ "pile_set_name": "DM Mathematics" }
141*p - 268 What is the o'th term of -286, -325, -362, -391, -406, -401? o**3 - 5*o**2 - 31*o - 251 What is the b'th term of 4, 21, 80, 205, 420? 4*b**3 - 3*b**2 - 2*b + 5 What is the d'th term of 233, 475, 717, 959, 1201? 242*d - 9 What is the l'th term of -28, -36, -44, -52, -60, -68? -8*l - 20 What is the p'th term of 13, -7, -43, -95, -163? -8*p**2 + 4*p + 17 What is the v'th term of -271, -324, -463, -730, -1167? -7*v**3 - v**2 - v - 262 What is the v'th term of 6474, 12948, 19422? 6474*v What is the d'th term of 611, 659, 707, 755? 48*d + 563 What is the z'th term of 62, 137, 284, 539, 938, 1517, 2312? 6*z**3 + 33*z + 23 What is the s'th term of 47, 95, 143? 48*s - 1 What is the m'th term of 38, 80, 124, 170, 218? m**2 + 39*m - 2 What is the h'th term of -179, -125, -67, -5? 2*h**2 + 48*h - 229 What is the z'th term of -405, -791, -1177, -1563? -386*z - 19 What is the t'th term of 24, 42, 60, 78? 18*t + 6 What is the s'th term of 112, 99, 72, 25, -48, -153, -296? -s**3 - s**2 - 3*s + 117 What is the k'th term of -26, -98, -222, -392, -602, -846? k**3 - 32*k**2 + 17*k - 12 What is the s'th term of -26, -31, -32, -29? 2*s**2 - 11*s - 17 What is the x'th term of -150, -151, -162, -189, -238, -315? -x**3 + x**2 + 3*x - 153 What is the h'th term of -155, -620, -1395, -2480? -155*h**2 What is the z'th term of -7, 27, 77, 137, 201, 263, 317? -z**3 + 14*z**2 - z - 19 What is the q'th term of -128, -196, -278, -380, -508? -q**3 - q**2 - 58*q - 68 What is the k'th term of 35, 64, 115, 200, 331, 520, 779, 1120? 2*k**3 - k**2 + 18*k + 16 What is the t'th term of 109, 107, 105? -2*t + 111 What is the w'th term of -12, -44, -92, -162, -260, -392, -564, -782? -w**3 - 2*w**2 - 19*w + 10 What is the m'th term of -226, -220, -212, -202, -190, -176? m**2 + 3*m - 230 What is the x'th term of 16, 28, 42, 58, 76, 96, 118? x**2 + 9*x + 6 What is the x'th term of 51, 126, 201, 276? 75*x - 24 What is the k'th term of -51, -161, -345, -603, -935? -37*k**2 + k - 15 What is the s'th term of -242, -236, -224, -206, -182, -152? 3*s**2 - 3*s - 242 What is the a'th term of -213, -424, -635? -211*a - 2 What is the s'th term of 16, -1, -42, -113, -220, -369, -566, -817? -s**3 - 6*s**2 + 8*s + 15 What is the w'th term of -19, -60, -121, -196, -279, -364? w**3 - 16*w**2 - 4 What is the c'th term of -326, -1302, -2928, -5204, -8130, -11706? -325*c**2 - c What is the y'th term of -76, -78, -70, -46, 0, 74, 182? y**3 - y**2 - 6*y - 70 What is the t'th term of -20, -17, -14, -11, -8? 3*t - 23 What is the d'th term of -53, -213, -479, -851, -1329, -1913, -2603? -53*d**2 - d + 1 What is the h'th term of -64, -136, -208, -280, -352, -424? -72*h + 8 What is the g'th term of -125, -248, -371, -494, -617, -740? -123*g - 2 What is the j'th term of 43, 89, 135, 181, 227? 46*j - 3 What is the a'th term of -406, -416, -448, -514, -626? -2*a**3 + a**2 + a - 406 What is the b'th term of 2, -3, -26, -79, -174? -2*b**3 + 3*b**2 + 1 What is the m'th term of 2130, 2131, 2132, 2133, 2134? m + 2129 What is the v'th term of -154, -306, -458, -610? -152*v - 2 What is the f'th term of 23, 20, 3, -28? -7*f**2 + 18*f + 12 What is the b'th term of -124, -25, 74, 173, 272, 371? 99*b - 223 What is the p'th term of -5522, -5525, -5528, -5531, -5534, -5537? -3*p - 5519 What is the h'th term of 355, 348, 337, 322? -2*h**2 - h + 358 What is the w'th term of -29, -39, -45, -41, -21, 21, 91, 195? w**3 - 4*w**2 - 5*w - 21 What is the o'th term of 2, 6, 10, 14, 18? 4*o - 2 What is the r'th term of 192, 195, 208, 237, 288, 367, 480, 633? r**3 - r**2 - r + 193 What is the g'th term of 21, 51, 83, 117, 153, 191, 231? g**2 + 27*g - 7 What is the l'th term of 72, 168, 262, 354? -l**2 + 99*l - 26 What is the i'th term of -97, -143, -189? -46*i - 51 What is the s'th term of -953, -1905, -2857? -952*s - 1 What is the f'th term of -1, 14, 65, 170, 347, 614, 989, 1490? 3*f**3 - 6*f + 2 What is the g'th term of 115, 99, 69, 19, -57, -165, -311? -g**3 - g**2 - 6*g + 123 What is the m'th term of 325, 673, 1071, 1543, 2113, 2805, 3643? 4*m**3 + m**2 + 317*m + 3 What is the q'th term of -835, -827, -817, -805, -791, -775, -757? q**2 + 5*q - 841 What is the p'th term of 82, 326, 732, 1300? 81*p**2 + p What is the y'th term of -153, -173, -191, -207, -221, -233? y**2 - 23*y - 131 What is the g'th term of 125, 208, 267, 290, 265, 180, 23, -218? -2*g**3 + 97*g + 30 What is the v'th term of -4, -17, -38, -67? -4*v**2 - v + 1 What is the x'th term of -16, -31, -44, -55, -64, -71? x**2 - 18*x + 1 What is the i'th term of 38, 67, 98, 131, 166, 203, 242? i**2 + 26*i + 11 What is the i'th term of -52, -100, -172, -262, -364, -472, -580? i**3 - 18*i**2 - i - 34 What is the y'th term of 1267, 2519, 3771, 5023? 1252*y + 15 What is the c'th term of -500, -503, -484, -431, -332? 2*c**3 - c**2 - 14*c - 487 What is the t'th term of -858, -863, -868, -873, -878, -883? -5*t - 853 What is the k'th term of -15, -21, -31, -45? -2*k**2 - 13 What is the k'th term of -3, 30, 123, 306, 609? 5*k**3 - 2*k - 6 What is the s'th term of -32, -62, -104, -164, -248, -362, -512, -704? -s**3 - 23*s - 8 What is the b'th term of -21, -8, 7, 24, 43, 64? b**2 + 10*b - 32 What is the x'th term of 5, 47, 163, 389, 761, 1315, 2087? 6*x**3 + x**2 - 3*x + 1 What is the f'th term of -936, -937, -938, -939, -940, -941? -f - 935 What is the y'th term of -4, 0, -4, -22, -60? -y**3 + 2*y**2 + 5*y - 10 What is the i'th term of 2, 5, 10, 17, 26, 37? i**2 + 1 What is the n'th term of -76, -151, -226, -301? -75*n - 1 What is the v'th term of -16, -32, -62, -112, -188, -296, -442, -632? -v**3 - v**2 - 6*v - 8 What is the n'th term of 18, 117, 384, 903, 1758, 3033? 14*n**3 + n + 3 What is the c'th term of 21, 39, 69, 117, 189, 291? c**3 + 11*c + 9 What is the q'th term of -1, 24, 47, 68? -q**2 + 28*q - 28 What is the b'th term of 91, 98, 127, 190, 299? 2*b**3 - b**2 - 4*b + 94 What is the a'th term of -57, -41, -25, -9, 7, 23? 16*a - 73 What is the w'th term of -7, -49, -163, -385, -751, -1297? -6*w**3 - 1 What is the k'th term of 735, 1471, 2207? 736*k - 1 What is the n'th term of 1476, 2950, 4424, 5898, 7372, 8846? 1474*n + 2 What is the z'th term of 517, 514, 511, 508, 505? -3*z + 520 What is the s'th term of 29, 92, 185, 302, 437, 584, 737, 890? -s**3 + 21*s**2 + 7*s + 2 What is the h'th term of -61, -121, -181, -241, -301, -361? -60*h - 1 What is the o'th term of -9, 109, 307, 585? 40*o**2 - 2*o - 47 What is the x'th term of 26, 38, 48, 44, 14, -54? -2*x**3 + 11*x**2 - 7*x + 24 What is the i'th term of 1535, 3069, 4603? 1534*i + 1 What is the b'th term of -700, -2797, -6292, -11185, -17476, -25165, -34252? -699*b**2 - 1 What is the p'th term of 2408, 2406, 2404, 2402, 2400? -2*p + 2410 What is the q'th term of 75, 307, 695, 1239, 1939, 2795, 3807? 78*q**2 - 2*q - 1 What is the g'th term of -26, -20, -14, -8, -2, 4? 6*g - 32 What is the p'th term of 95, 186, 277? 91*p + 4 What is the a'th term of -314, -319, -336, -371, -430, -519, -644? -a**3 + 2*a - 315 What is the n'th term of -3543, -7085, -10627, -14169, -17711, -21253? -3542*n - 1 What is the v'th term of 16775, 16776, 16777, 16778? v + 16774 What is the p'th term of 37, 70, 95, 106, 97, 62? -p**3 + 2*p**2 + 34*p + 2 What is the l'th term of -34, -70, -106, -142, -178, -214? -36*l + 2 What is the x'th term of 194, 386, 578, 770, 962? 192*x + 2 What is the m'th term of 27, 21, 13, 3? -m**2 - 3*m + 31 What is the p'th term of -83, -38, 33, 142, 301, 522, 817? 2*p**3 + p**2 + 28*p - 114 What is the a'th term of -8054, -8052, -8050, -8048, -8046, -8044? 2*a - 8056 What is the n'th term of 18, 62, 136, 240, 374? 15*n**2 - n + 4 What is the t'th term of -27, -29, -31, -33, -35, -37? -2*t - 25 What is the l'th term of -197, -181, -153, -113? 6*l**2 - 2*l - 201 What is the l'th term of 145, 139, 131, 121, 109, 95? -l**2 - 3*l + 149 What is the n'th term of 1705, 1707, 1709? 2*n + 1703 What is the a'th term of -12, 61, 152, 267, 412, 593, 816, 1087? a**3 + 3*a**2 + 57*a - 73 What is the k'th term of 293, 1151, 2587, 4607, 7217, 10423, 14231? k**3 + 283*k**2 + 2*k + 7 What is the u'th term of 98, 112, 142, 194, 274, 388, 542, 742? u**3 + 2*u**2 + u + 94 What is the z'th term of -70, -81, -118, -193, -318, -505? -2*z**3 - z
{ "pile_set_name": "DM Mathematics" }
ometers? 3.665936 How many minutes are there in 0.5042981 hours? 30.257886 How many nanometers are there in 59139.51 meters? 59139510000000 How many micrometers are there in 9/10 of a millimeter? 900 What is 33/5 of a litre in millilitres? 6600 How many minutes are there in seventeen sixths of a week? 28560 What is 3/10 of a gram in milligrams? 300 What is five eighths of a kilometer in meters? 625 What is 2.17971 decades in years? 21.7971 What is 43601.92 hours in microseconds? 156966912000000 What is 9478.829 micrometers in nanometers? 9478829 How many nanoseconds are there in 9.349402us? 9349.402 How many years are there in 55/2 of a millennium? 27500 Convert 0.8904334 micrometers to meters. 0.0000008904334 How many millennia are there in 0.6026072 centuries? 0.06026072 How many millilitres are there in one twentieth of a litre? 50 What is nineteen quarters of a hour in minutes? 285 Convert 475.2089 nanograms to grams. 0.0000004752089 What is five eighths of a litre in millilitres? 625 How many decades are there in 183472.89 months? 1528.94075 How many weeks are there in 108517090.5ms? 0.17942640625 Convert 8022.077 micrometers to meters. 0.008022077 What is 81370.69 grams in micrograms? 81370690000 What is 3.506174ml in litres? 0.003506174 How many decades are there in 0.8837299 centuries? 8.837299 How many millimeters are there in 3/50 of a meter? 60 How many nanograms are there in 61/4 of a microgram? 15250 What is 227418.1s in microseconds? 227418100000 How many years are there in 166.95804 months? 13.91317 What is 3/50 of a litre in millilitres? 60 What is 7/2 of a microsecond in nanoseconds? 3500 Convert 13.59594 centuries to months. 16315.128 What is 16414.87869ms in weeks? 0.000027141003125 Convert 40.27204mg to micrograms. 40272.04 What is 261062.028 nanoseconds in days? 0.00000000302155125 How many litres are there in 6422.536 millilitres? 6.422536 What is seven sixths of a minute in milliseconds? 70000 What is 1/5 of a micrometer in nanometers? 200 Convert 61.67299t to grams. 61672990 What is one fifth of a litre in millilitres? 200 Convert 1.509493 centuries to years. 150.9493 How many kilograms are there in 31/5 of a tonne? 6200 How many millilitres are there in seven quarters of a litre? 1750 What is one tenth of a second in milliseconds? 100 How many milligrams are there in seven eighths of a gram? 875 How many months are there in 61/2 of a century? 36600 How many nanometers are there in 3/25 of a micrometer? 120 How many decades are there in 0.2288336 millennia? 22.88336 How many years are there in 11/10 of a millennium? 1100 How many months are there in 4/15 of a millennium? 3200 Convert 0.9447878 centuries to decades. 9.447878 What is 57694.74 micrograms in nanograms? 57694740 How many decades are there in one quarter of a millennium? 25 How many grams are there in twenty-six fifths of a kilogram? 5200 What is 0.5512967 tonnes in micrograms? 551296700000 What is 85/4 of a litre in millilitres? 21250 What is six fifths of a minute in milliseconds? 72000 Convert 23203.014 months to decades. 193.35845 What is 129069.612ms in weeks? 0.00021340875 What is 830.8771kg in nanograms? 830877100000000 What is seventeen tenths of a litre in millilitres? 1700 What is 1742510.1 months in centuries? 1452.09175 Convert 24.28593 litres to millilitres. 24285.93 What is 0.6519486 centimeters in micrometers? 6519.486 How many minutes are there in fourty-eight sevenths of a week? 69120 What is 27/2 of a litre in millilitres? 13500 How many litres are there in 96024.7ml? 96.0247 What is 880279.407s in weeks? 1.4554884375 How many tonnes are there in 75.82566 micrograms? 0.00000000007582566 How many months are there in three eighths of a century? 450 What is 15506.32ns in milliseconds? 0.01550632 Convert 870780.9 millennia to years. 870780900 How many centuries are there in 63060.45 years? 630.6045 How many litres are there in 9.747807ml? 0.009747807 How many millilitres are there in 3/8 of a litre? 375 How many months are there in 114.9017 millennia? 1378820.4 What is 3/5 of a century in years? 60 How many micrograms are there in seventeen quarters of a milligram? 4250 What is 956123.1 millilitres in litres? 956.1231 How many nanograms are there in three fifths of a microgram? 600 How many decades are there in 1.9263156 months? 0.01605263 Convert 73.76587 hours to minutes. 4425.9522 What is 6.682547ng in micrograms? 0.006682547 What is 9/16 of a century in months? 675 How many litres are there in 90624.82ml? 90.62482 Convert 9711.054ng to grams. 0.000009711054 What is 5.778783l in millilitres? 5778.783 What is nine tenths of a micrometer in nanometers? 900 What is 4802.742 micrometers in centimeters? 0.4802742 What is fifteen quarters of a year in months? 45 How many seconds are there in two ninths of a hour? 800 How many meters are there in 9.424093 centimeters? 0.09424093 How many years are there in eleven halves of a millennium? 5500 How many milliseconds are there in 3/25 of a minute? 7200 What is sixty-one quarters of a litre in millilitres? 15250 How many weeks are there in 4777934.7 hours? 28440.0875 Convert 183404.73 months to millennia. 15.2837275 How many micrometers are there in 13/4 of a millimeter? 3250 What is 3/5 of a microsecond in nanoseconds? 600 How many meters are there in twenty-one halves of a kilometer? 10500 How many millilitres are there in 21.95449 litres? 21954.49 What is 0.107933 decades in months? 12.95196 How many months are there in 18/5 of a decade? 432 How many nanometers are there in 98.53361km? 98533610000000 How many nanograms are there in one tenth of a microgram? 100 What is 13/4 of a centimeter in micrometers? 32500 What is 98.1859ml in litres? 0.0981859 How many kilograms are there in 140.0925ug? 0.0000001400925 How many milligrams are there in 8.32221 grams? 8322.21 What is one tenth of a litre in millilitres? 100 What is 1/4 of a litre in millilitres? 250 What is thirty-seven fifths of a litre in millilitres? 7400 Convert 0.30191 years to decades. 0.030191 Convert 3833.717 millennia to centuries. 38337.17 What is 3/10 of a century in months? 360 How many millilitres are there in eleven halves of a litre? 5500 How many milligrams are there in 57/2 of a gram? 28500 What is fourty-eight fifths of a meter in millimeters? 9600 How many seconds are there in seven sixths of a minute? 70 How many hours are there in 43/4 of a week? 1806 Convert 182280.96 minutes to days. 126.584 What is seven halves of a second in milliseconds? 3500 How many milliseconds are there in 4/15 of a minute? 16000 How many hours are there in 48744.12 weeks? 8189012.16 How many micrograms are there in twenty-seven fifths of a milligram? 5400 How many millimeters are there in 5/8 of a meter? 625 How many decades are there in fourty-four fifths of a millennium? 880 What is 8.235648g in nanograms? 8235648000 What is 6/5 of a microsecond in nanoseconds? 1200 What is 8804.276 litres in millilitres? 8804276 Convert 7192.776 millilitres to litres. 7.192776 What is fourty-three sixths of a week in minutes? 72240 What is 6.543789 decades in centuries? 0.6543789 How many centimeters are there in one twentieth of a meter? 5 How many centimeters are there in 1097.047 millimeters? 109.7047 Convert 15.79223 micrometers to kilometers. 0.00000001579223 What is 1665.8199 months in millennia? 0.138818325 What is 800.366g in milligrams? 800366 Convert 0.337953ml to litres. 0.000337953 Convert 979.5642 months to decades. 8.163035 How many litres are there in 799255.9 millilitres? 799.2559 What is 60254.316 minutes in days? 41.843275 Convert 2.047081 meters to centimeters. 204.7081 What is twenty-one halves of a microgram in nanograms? 10500 How many millilitres are there in eleven halves of a litre? 5500 What is 43906.77 months in millennia? 3.6588975 Convert 375.9725 minutes to microseconds. 22558350000 What is 1356.431 days in milliseconds? 117195638400 What is 0.380973 months in decades? 0.003174775 What is 922.456 years in months? 11069.472 How many millilitres are there in 45/8 of a litre? 5625 What is one fifth of a millimeter in micrometers? 200 What is one quarter of a kilometer in centimeters? 25000 Convert 42.85145 litres to millilitres. 428
{ "pile_set_name": "DM Mathematics" }
- 3 + 2*l**5. -18*l**5 Expand (2 - 4 + 5)*(8*x**2 - 2*x**2 - 2*x**2)*(4*x**2 - x**2 - 2*x**2)*(-5 - 2 + 4)*(-3 - 1 + 1). 108*x**4 Expand (12 - 14 - 12)*(24*h - 11*h - 11*h + 6). -28*h - 84 Expand 17817*l - 17817*l - 97*l**2 + (0*l + 4*l - 2*l)*(2*l - 5*l + l). -101*l**2 Expand (2 + 2 - 6)*(13*j - 7*j - 41*j). 70*j Expand (-v + 2 - 2)*(-2 + 0 - 1) - 3 + v + 3 - 2*v + 6*v + 18*v. 26*v Expand (79 - 79 + 2*w)*(-2*w + 2*w - 12*w**4). -24*w**5 Expand (-f**2 - 4*f**2 + 2*f**2)*(-84 + 84 - 117*f). 351*f**3 Expand a + 5 - 5 + (-2*a - 2*a + 2*a)*(-2 + 3 - 3) + a - 3*a - a - 4*a + 4*a + 4*a + 4 + 3*a - 13 + 2. 9*a - 7 Expand (0*v + v + 0*v)*(-47 + 39*v**2 + 23 + 23). 39*v**3 - v Expand (-1 + 3 - 4)*(7*h**2 - 31*h + 13*h**2 + 30*h). -40*h**2 + 2*h Expand (-28*l - 10 + 7*l + 3)*(-2*l**4 - 4*l**4 + 4*l**4). 42*l**5 + 14*l**4 Expand 1 - 2*x - 1 + (328 - 75 + 33)*(0 - 1 + 2)*(-3 + 2*x + 3). 570*x Expand (k**3 - k**2 + k**2)*(-413 + 413 - 14*k)*(2*k + k - 2*k)*(1 + 2 - 4). 14*k**5 Expand 2*p - 1 + 1 + 4*p - 3*p + p + 3*p - 5*p + 0*p + (-2 + 3 + 1)*(p + 0 + 0) - p + 2*p - 2*p - 16 + 16 - 6*p + 2*p - p + p. -p Expand (0 + 3*q + 0)*(-1 + 4 + 2) + (-9 - 16 - 8)*(-4*q + q + 2*q). 48*q Expand (0 + 2 - 12*r + 10*r)*(-7 + 7 + 3*r) - r**2 - 3*r**2 + 7*r**2. -3*r**2 + 6*r Expand 3*a**3 + 3*a**3 - 5*a**3 + (-a + 2*a**2 + a)*(0*a + 4*a - 2*a) - 4*a**3 + 2*a**3 + a**3 - 7*a**3 - 7*a + 7*a. -3*a**3 Expand (-7*o - 5721 + 2*o**2 + 5721)*(0*o + 0*o - o) + (-4*o**3 - 3*o**3 + 5*o**3)*(-1 - 3 + 1). 4*o**3 + 7*o**2 Expand (-2*i**2 + 0*i**2 + 4*i**2)*(-44 + 44 - 8*i + 4*i - 2*i + 0*i + (-4*i + 0*i + 3*i)*(1 - 4 + 1))*(-7 + 12 - 1). -32*i**3 Expand (1 + p**2 - 1 - 2)*(83*p + 10*p + 88*p). 181*p**3 - 362*p Expand (5 - 5 + 2)*(u - 3*u + 3*u) + 2 - 2 + 2*u + u - u + u - 261*u - 32059 + 32059. -256*u Expand (n - 2*n - n)*(-9 + 9 + 54*n**2)*(2*n**2 - 2*n**2 - n**2). 108*n**5 Expand -12*m + 12*m - 11*m**3 + 38*m**3 + (m + 0*m + 0*m)*(4*m**2 + 0*m**2 - 2*m**2). 29*m**3 Expand -k + 3*k - 2 - 3*k - 7*k - 13*k - 19*k + (-2 + 5 - 1)*(3*k - 2*k + k) + k + 1 - 1. -35*k - 2 Expand (-b + 0 + 0)*(22 - 22 + 2*b**2 - 4*b**2 + 2*b**2 + 3*b**2 + (2*b - 5*b + b)*(-b + b + 2*b) + 6*b**2 - 5*b**2 + 5*b**2). -5*b**3 Expand (-2*h - 2 + 2)*(-4*h + 6*h - h)*(0*h + 3*h + 11*h) + 4*h**3 - 3*h**3 + h**3. -26*h**3 Expand (4*y**3 - 4*y**3 + 2*y**3)*(-86*y + 87*y - 45*y**2 - 199*y**2). -488*y**5 + 2*y**4 Expand (27*c + 1 - 46*c + 23*c)*(c - 1 + 1)*(-2*c**2 - 2*c**3 + 2*c**2). -8*c**5 - 2*c**4 Expand (2 - 2 - 2)*(83 - k - 38 - 30). 2*k - 30 Expand -3*v**3 + 3*v**3 - 2*v**5 + (v**5 + 2 - 2)*(-1 - 1 + 1) - 83*v**3 + 83*v**3 - 62*v**5 - 3*v**5 - 2*v**5 + 7*v**5. -63*v**5 Expand (1 + 12 + 5)*(r - r - 4*r**3) + 0*r**2 + 2*r**3 + 0*r**2. -70*r**3 Expand -184 - 185 + 367 + 3*z**2 + (5*z - z - 5*z)*(-2*z + 0*z + z) - 2*z**2 + 3 - 3. 2*z**2 - 2 Expand (11 - 11 + 7*q)*(5 - 4 + 6). 49*q Expand (16*w - 28 - 25*w + 8*w)*(-3 + 2 - 1). 2*w + 56 Expand (1 - 6 - 12 - 3)*(-2*k - 8*k - 4*k). 280*k Expand (6*p**3 + 21*p**3 + 8*p**3)*(-1 + 14 - 1). 420*p**3 Expand (642 - 4*d**5 - 66*d**3 - 321 - 323)*(-4 + 4 + 2). -8*d**5 - 132*d**3 - 4 Expand (w**2 - w + w)*(-73*w + 41*w + 34*w + 85). 2*w**3 + 85*w**2 Expand (-18 + 18 - f**2)*(-21*f - 3*f - 45*f). 69*f**3 Expand -75 + 65 + 10*p**2 + 26*p**2 + (2*p - 7*p + 3*p)*(0 - p + 0). 38*p**2 - 10 Expand (14*y**4 - 12*y**2 + 12*y**2)*((2 - 5 + 2)*(0 + 2 - 1) + 2 - 2 + 5 + 4 - 1 - 5). 28*y**4 Expand (0 + 0 - 3*v)*(5 - 1 - 5) + 2*v - 2*v + v + 729*v - 342*v - 350*v. 41*v Expand (-6*w - 2*w**2 + 10*w - 2*w)*(0 - 3 - 7). 20*w**2 - 20*w Expand (-144*y - 57*y - 85*y)*(-y**2 + 3*y**2 - 10*y**2)*(2 - 2*y - 2). -4576*y**4 Expand (-2*m - 1 + 1)*(-9 + 4*m - 2*m**2 + 7 - 17). 4*m**3 - 8*m**2 + 38*m Expand (-24*a**3 - 9*a**3 - 5*a**3)*(-2*a**2 - 2*a**2 + 3*a**2) - 2*a**4 + 2*a**4 - a**5. 37*a**5 Expand (f + 3*f + 2*f)*(-34*f - 54*f + 62*f). -156*f**2 Expand (0*c**2 - c**2 + 3*c**2)*(0 + 2 - 3) + 12926*c**2 - 12611*c**2 + 0*c - c. 313*c**2 - c Expand (-17 + 15 + 10)*(8 - 7 + 1 - 2*c + 2*c**2). 16*c**2 - 16*c + 16 Expand -4*p**5 + p**5 + 2*p**5 + (2 - 2 + 2*p**2)*(-p + p + p**3) + 6*p**5 - 3*p**5 - p**5 + 2*p**5 + 2*p**5 + p**5. 8*p**5 Expand -2*x + 2*x + 2*x + x**2 + (1351*x**2 + 1097*x**2 - 672*x**2)*(-1 - 2 + 1 + (-3 + 2 + 3)*(-4 - 1 + 4) + 2 - 1 + 0). -5327*x**2 + 2*x Expand ((-3 + 5 - 4)*(3 + 0 - 5) + (0 + 2 - 1)*(2 - 1 - 3))*(3*g + g - 3*g). 2*g Expand (10 + 0*k - 7 + k)*(-2 + 2 + 2*k + (-6 + 3 + 1)*(-3*k - 2*k + 6*k) - k - k + 0*k - k + 1 - 1 - 2*k + 2 - 2 + 3*k - 24*k - 2*k). -28*k**2 - 84*k Expand (9 + 0 - 2)*(7*d**3 + 1128 - 4*d**4 - 3*d**2 - 1128). -28*d**4 + 49*d**3 - 21*d**2 Expand (-8*p**2 + 4 - 4)*(-3*p + 1 - 1)*(-2*p - p + 7*p). 96*p**4 Expand -98*y + 52*y + 1 - 45*y + (-3*y + 4*y + 0*y)*(-1 - 3 + 1). -94*y + 1 Expand (-4*h**4 + 2*h**4 - 3*h**4)*(5*h - 4*h - 2*h) + (-6*h**4 - 17*h**4 - 2*h**4)*(3*h + h - h). -70*h**5 Expand 0*d + 3*d**4 + 0*d + (0*d**2 + 2*d**2 - 3*d**2)*(2*d**2 - 3*d + 3*d) - d**4 - d**4 - 2*d**4 + (0 - d**3 + 0)*(-2 + 2 - 2*d). -d**4 Expand (-1 - 5 + 7)*(-2 - 1 + 1)*(y - 4*y + 2*y + (-3 + 3 - 2)*(-3*y + 3*y - 2*y) + 3*y - y + 0*y + 4*y - 2*y + 0*y + 2*y - y + y)*(-2 - 2 - 1). 90*y Expand (3*b + 7 - 4 - 2*b)*(-b + 22*b - 2*b). 19*b**2 + 57*b Expand (1100*d**4 - 34*d**4 - 511*d**4)*(0 + 0 - 2). -1110*d**4 Expand (-8*v + v - 7*v)*(-v**2 + 8*v**2 + 6*v**2). -182*v**3 Expand 2*d - 2 + 2 + 2*d - d + d + (1 - 3 + 4)*(-3*d + 5*d + 0*d) - 2 + 2*d + 2 - 6*d + 0*d + 4*d + (2*d - 5*d + 2*d)*(-1 - 1 + 4) + d + 3 - 3. 7*d Expand 0 + 0 - 2*d**2 - 56 + 56 - 29*d**2 + 4*d**2 - 6*d**2 + 4*d**2 + 4*d + d**2 - 4*d + (-1 + 2 - 2)*(-2*d**2 + 2*d**2 + d**2) - d**2 - 3*d**2 + 3*d**2. -30*d**2 Expand (1 - 5 - 1)*(2*k + 0 + 0) + (0*k - 5*k + 3*k)*(2 - 1 - 2) - 39 + 32 + 2*k - 40. -6*k - 47 Expand (9*k**2 - 5*k**2 - 3*k**2)*(2 + 19*k - 7*k - 4) + (k**3 - 5*k**3 + 3*k**3)*(2 - 1 + 1). 10*k**3 - 2*k**2 Expand ((0 + 0 + 2)*(-5 + 0 + 1) + (-4 + 1 + 5)*(5 - 2 - 4))*(-6 + a**2 + 6). -10*a**2 Expand (0*q - 2*q + q)*(3 + 1 + 2*q - 2)*(-52*q**2 - 24 + 24). 104*q**4 + 104*q**3 Expand (-3 + 1 + 1)*(-2 + 0 + 1)*(-7975 + 7975 + 40*z). 40*z Expand (-18 - 4 + 0)*(4 - 2 - 1)*(-33*j**3 - 290 + 290). 726*j**3 Expand (141 - 183 + 114)*(2*c**4 + 53 - 53). 144*c**4 Expand 2*y**2 - 5*y**2 + 0*y**2 + (-545 - 62*y + 545)*(y + 2 - 2) + 2*y**2 - 3*y**2 - y**2. -67*y**2 Expand -9*z**4 + 262*z**4 - 156*z**4 + z**3 - z**3 - z**4 + (3*z**4 - 2*z**4 - 3*z**4)*(-2 + 2 - 1) + z**4 - 4*z**4 + 5*z**4 - 6*z**4 + 3*z**4 + 4*z**4. 101*z**4 Expand 3*c**5 - 6*c**5 + c**5 + (c**5 + 2*c**3 - 2*c**3)*(-5 - 10 + 0) + (0 + 4 - 6)*(2*c**5 + 0*c**3 + 0*c**3). -21*c**5 Expand (-2 + 0 - 1)*(-2*z**4 - 4*z**4 - 5*z**4). 33*z**4 Expand -3*i**2 - 4*i**3 + 3*i**2 + (0*i**3 - i**3 + 3*i**3)*(8 - 10 - 26) + (0 + i + 0)*(5*i - 5*i - i**2). -61*i**3 Expand (-20*r - 376*r - 419*r + 105*r)*(2 - 2*r**3 - 2). 1420*r**4 Expand (r**2 - 3*r**2 + 0*r**2)*(-5*r**2 + r**2 - r**2) + (0 + 0 + 2*r**3)*(-15*r + 5*r - 4*r). -18*r**4 Expand (-2*u + u + 2*u)*(15 - 194 - 166)*(1 + 0 - 3)*(u - u**3 - u). -690*u**4 Expand (29*k - 46*k + 85*k**3 + 17*k)*(-k**2 - 2*k**2 + 0*k**2). -255*k**5 Expand (5*w**4 - 3*w**4 - 4*w**4)*(4*w - w - 2*w) + 0*w**5 + 2*w**5 + 3*w**5 + 29*w**5 + 10*w**5 + 3*w**5. 45*w**5 Expand (3*a - 2*a + a)*(4*a - 4*a + a). 2*a**2 Expand 2*v - 2*v**5 - 2*v + (-2*v**3 + 2*v**2 - 2*v**2)*(2*v - 2*v + v**2) - 2*v**5 + 2 - 2 + 11127*v**2 + 8*v**3 - v**5 - 11127*v**2 - 2*v. -7*v**5 + 8*v**3 - 2*v Expand (-138*b**5 + 72*b**5 + 73*b**5)*(-3 + 2 + 3). 14*b**5 Expand (-3*v**3 + v**3 + 5*v**3)*(-14 - 33 - 5)*(7*v**2 - 3*v**2 + 0*v**2). -624*v**5 Expand (6 - 4 + 12 + 4)*(25*o - o + 8*o)*(-2 - 1 + 1). -1152*o Expand 2*f + 0*f - f + 1 + f - 1 + (-5 - 2 + 5)*(-2*f - 1 + 1) - 3*f + 2*f - f + 0*f + 3*f - 2*f + (-3 + 3 + 8)*(2*f + f + f). 37*f Expand -20*g**5 + 29*g**5 + 7*g**5 + 0*g**5 - 4*g**5 + 2*g**5 + (-29*g**2 - 153*g + 153*g)*(0*g**3 - 3*g**3 + g**3). 72*g**5 Expand (3*h - 3*h + 2*h**3)*(2*h + h - h) + 4*h**4 - 7*h**4 + 6*h**4 + (-h**3 - 2 + 2)*(2 + 2*h - 2) + 0*h**4 - h**4 - h**4 - 2 - h**4 + 2. 2*h**4 Expand (-5*k**2 + 5*k**2 + 13*k**2)*(-25 + 11 - 29)*(1 + 1 - 1 + (1 - 1 - 2)*(3 - 1 - 1) - 3 - 2 + 3 + 3 + 1 - 5 + 1 - 3 + 4). 1118*k**2 Expand (1163 - 1276 + 3*f**4 -
{ "pile_set_name": "DM Mathematics" }
sqrt(187) + sqrt(187))/sqrt(11). -2 + 9*sqrt(17) Simplify (sqrt(51) + sqrt(3264)*1)/(sqrt(18)/(sqrt(36)/sqrt(6))). 9*sqrt(17) Simplify (-3*(-3 + sqrt(1900)) + ((sqrt(1900) + 1*sqrt(1900))*2 + sqrt(1900) - sqrt(1900)) + -3)**2. 120*sqrt(19) + 1936 Simplify (sqrt(60)*3)/(4*sqrt(147)). 3*sqrt(5)/14 Simplify 3*sqrt(192) + -3 + 1*sqrt(3) - (-1*(sqrt(3) - sqrt(12)/sqrt(4)) - ((-2*sqrt(243) - sqrt(243)) + sqrt(243) - sqrt(243))**2). 25*sqrt(3) + 2184 Simplify -1 + -5*(sqrt(1700) - (1 + sqrt(1700) + 5)**2). 550*sqrt(17) + 8679 Simplify (sqrt(605) + (sqrt(605) - (sqrt(605) - (sqrt(605) + -1)*-2)) + (sqrt(605) - (-1*sqrt(605) - sqrt(605))*-2))**2. -176*sqrt(5) + 9684 Simplify (-2*(sqrt(605)*2 - sqrt(605)))**2 - ((sqrt(320)*5)**2 + -3). -5577 Simplify (1 + sqrt(171)*-2*5 + -6*(5 + 0 + sqrt(19)) + 5)**2. 1728*sqrt(19) + 25200 Simplify -1 + (3*sqrt(243) + 0)**2 + (sqrt(243) - (sqrt(243) - (sqrt(243) - (-3*sqrt(243) + 5))))**2 + -3. -360*sqrt(3) + 6096 Simplify sqrt(88)/(sqrt(64)/sqrt(8))*4 - sqrt(132)/(sqrt(48)*5). 39*sqrt(11)/10 Simplify 4 + (1*sqrt(91)*-1)/(sqrt(140)/sqrt(5)) + 0 + -1. -sqrt(13)/2 + 3 Simplify -2 + 0 + sqrt(245)*2 + -1. -3 + 14*sqrt(5) Simplify 3 + (-5*sqrt(1404) - sqrt(1404) - sqrt(1404))/(sqrt(12)/(sqrt(4)*-3)). 3 + 126*sqrt(13) Simplify (-5 + sqrt(288) + (sqrt(288)*-1 + -2 - sqrt(288)) + sqrt(288) + sqrt(288) + 3*(sqrt(288) + (1 + sqrt(288) - sqrt(288))) + 3 + 1)**2. 4608 Simplify (((sqrt(1216) - (sqrt(1216) - (sqrt(1216) + -4*-2*sqrt(1216)))) + -2*sqrt(1216)*2)*-6)**2. 1094400 Simplify ((sqrt(26) - sqrt(78)/sqrt(3))*-1)/(sqrt(10)/(4*sqrt(5))). 0 Simplify -2*-6*(sqrt(200) + (0 + sqrt(200))**2 + 3 - (sqrt(200)*-2 + -4 + sqrt(200))**2)*-1. 156 + 840*sqrt(2) Simplify (6*(-1 + sqrt(468)) - sqrt(468))**2 + sqrt(468) + sqrt(468) + (-3*sqrt(468) + 1)**2. -384*sqrt(13) + 15949 Simplify (((sqrt(540)*3)/sqrt(3))**2 + (0 + sqrt(5) + (sqrt(80))**2 - (sqrt(5) - sqrt(10)/(sqrt(2)*-1))))*-6. -10200 + 6*sqrt(5) Simplify (sqrt(75) + -2*sqrt(75)*-6 + -2)**2 + (sqrt(189)/sqrt(63) - (4 + sqrt(54)/sqrt(2))). -262*sqrt(3) + 12675 Simplify ((sqrt(96) + (sqrt(96) - 1*sqrt(96))*1)/(sqrt(1452)*-1))**2. 8/121 Simplify 0 + (-3 + sqrt(432))**2 + (sqrt(243) + -3)**2. -126*sqrt(3) + 693 Simplify 2*(5*sqrt(1584) + -4 - sqrt(1584))**2 + 2. -768*sqrt(11) + 50722 Simplify ((sqrt(396) - (sqrt(396) + sqrt(396) + 1)) + 0)**2*6 + ((-1*sqrt(99))/sqrt(3))/((sqrt(27) + sqrt(27)*2)/sqrt(9)). 215*sqrt(11)/3 + 2382 Simplify -1*(-1*sqrt(7) + -4 + (sqrt(35)/sqrt(45))**2 - (1*sqrt(42)*-1 - sqrt(42))/sqrt(6)). -sqrt(7) + 29/9 Simplify (1 + (sqrt(572)/sqrt(11) - (4 + sqrt(1300))))**2. 48*sqrt(13) + 841 Simplify (-2*(3*(sqrt(171) - 1*sqrt(171)) + sqrt(171)))/(sqrt(27)/sqrt(3)*-5*-6). -sqrt(19)/15 Simplify ((sqrt(143) + -6*(4*sqrt(143) - sqrt(143)))*-5)/(sqrt(11) - sqrt(88)/(sqrt(40)/sqrt(5)) - sqrt(66)/(sqrt(6) + sqrt(24)/sqrt(4) + sqrt(6) - sqrt(6))). -170*sqrt(13) Simplify (sqrt(216) + 1*sqrt(216) - sqrt(216))/(sqrt(33)/(sqrt(11)*1)) + (sqrt(128)*-2*5)**2 + sqrt(128) + (1 + sqrt(128))**2 + 2. 30*sqrt(2) + 12931 Simplify ((-3*(2 + sqrt(1100)) - 5*(sqrt(1100) + 0)) + -2*sqrt(1100) + sqrt(1100) + 2 + -4*(sqrt(1100) + 2))**2. 3120*sqrt(11) + 186044 Simplify (1 + (-2*sqrt(200) - sqrt(200)) + (-1 + sqrt(200))*5 + 1)**2. -120*sqrt(2) + 809 Simplify (-1*(sqrt(228) + (sqrt(228) + sqrt(228) + sqrt(228)*-4)*2))/((sqrt(108) + 4*sqrt(108) + sqrt(108))*3 - sqrt(108) - sqrt(108)). sqrt(19)/16 Simplify -5*2*-5*1*sqrt(272)*-2. -400*sqrt(17) Simplify ((sqrt(40)*1*6)/sqrt(4))/((-2*sqrt(16)*-4)/sqrt(8)). 3*sqrt(5)/4 Simplify ((sqrt(252)/sqrt(4))/sqrt(9) + (sqrt(56)/sqrt(2) + sqrt(28))/sqrt(4) + sqrt(315)/sqrt(5) + -4 + sqrt(63) + sqrt(63))**2*1. -96*sqrt(7) + 1024 Simplify 5 + (sqrt(11) - (sqrt(11) + (sqrt(11) - sqrt(88)/(-3*sqrt(8)))))**2 + (sqrt(176)/sqrt(4)*2)/sqrt(4) + 0. 2*sqrt(11) + 221/9 Simplify ((sqrt(136)/(6*sqrt(32)/sqrt(4)) + -5)*1)**2. -5*sqrt(17)/3 + 917/36 Simplify (-3*sqrt(4)/sqrt(2)*-1*-4 + (sqrt(882) - sqrt(882)*2)/((sqrt(324)*1 - sqrt(324)) + sqrt(9)))**2. 722 Simplify 3*(sqrt(1400) + sqrt(1400)*-1 + sqrt(1400))/(sqrt(7) - (sqrt(7) + 3*sqrt(7)*-3 + sqrt(7))) + -1. -1 + 15*sqrt(2)/4 Simplify (sqrt(528)*-2*-6)/(sqrt(6)/(sqrt(2)*2) + sqrt(12)/(sqrt(4) + sqrt(16))). 288*sqrt(11)/5 Simplify ((-2*sqrt(6000) - sqrt(6000))*6)/((-3*sqrt(192)/sqrt(4))/sqrt(4))*4. 240*sqrt(5) Simplify -3*3*(sqrt(1053) + -1) + -5. -81*sqrt(13) + 4 Simplify -4 + (sqrt(68) - ((5*(sqrt(68) - (sqrt(68) - sqrt(68)*2)) - sqrt(68)) + sqrt(68))**2) + sqrt(68) + 5. -6799 + 4*sqrt(17) Simplify (sqrt(24)/sqrt(512) - ((1*sqrt(27))/sqrt(9) - (-2 + (sqrt(3)*1 - sqrt(3)))))*-1. 7*sqrt(3)/8 + 2 Simplify ((sqrt(88)*3 + sqrt(88))*-5 - sqrt(88))/sqrt(8) - (((2 + sqrt(1331))**2 - sqrt(1331)) + sqrt(11) + (-4 + sqrt(33)/sqrt(3))**2). -1362 - 47*sqrt(11) Simplify -2*(sqrt(17) + 1) + (1 + sqrt(612) - sqrt(17)) - (-5 + sqrt(51)/sqrt(3) + sqrt(17) + -3*sqrt(17) + 1)**2. -34 - 5*sqrt(17) Simplify 1*(-2 + (sqrt(1700) - sqrt(1700)*-1) - ((4*sqrt(1700))**2 + 3)). -27205 + 20*sqrt(17) Simplify ((sqrt(85) - 5*sqrt(85)*-1)*1)/((sqrt(495)*-1 - sqrt(495))/sqrt(11)). -sqrt(17) Simplify (sqrt(1215)*2 - sqrt(15))/(sqrt(135)/sqrt(5))*-3. -17*sqrt(5) Simplify 1*(3 + (-1*sqrt(162)*-6 - -5*(-1 + sqrt(162)))**2*-5). -98132 + 4950*sqrt(2) Simplify (1*-1*sqrt(28) - -2*sqrt(112))/((sqrt(144) - ((-3*sqrt(144) + sqrt(144))*-5 - sqrt(144))) + sqrt(144)). -sqrt(7)/14 Simplify ((sqrt(891) + -4 + (-5 + sqrt(891) - sqrt(891)))**2 - (sqrt(891) - sqrt(891)*-2)**2*-1)*-3. -26973 + 486*sqrt(11) Simplify (6*((sqrt(242) - 2*(sqrt(242) + -1 - sqrt(242))) + -3))**2. -792*sqrt(2) + 8748 Simplify 4 + 6*(0 + 3*sqrt(190)/sqrt(10)). 4 + 18*sqrt(19) Simplify sqrt(567) - (-2 + (-2 + sqrt(567))**2) - ((sqrt(126)*-3)/sqrt(9))/sqrt(2). -569 + 48*sqrt(7) Simplify (-1 + -4*sqrt(19)*5 + 4*(-3*sqrt(19) - sqrt(19)))**2*-3. -73875 - 216*sqrt(19) Simplify -5*((sqrt(85) - (sqrt(85) + -2*sqrt(85)) - sqrt(85))/sqrt(5) + -5*-4*sqrt(17))**2. -37485 Simplify 0 + ((-2 + sqrt(325) + 5 + -1)*-5)**2. 500*sqrt(13) + 8225 Simplify (5 + -1*(-2 + sqrt(1008)))**2 + -5*(1 + sqrt(1008)) + (sqrt(1008) - (2 + sqrt(1008)*-2)). -192*sqrt(7) + 1050 Simplify (1*(sqrt(136) - sqrt(136)*-2)*3)/(4*sqrt(8)*-2 + sqrt(80)/sqrt(90) + sqrt(8)) + 2. -27*sqrt(17)/20 + 2 Simplify (-6*((sqrt(2299) - (1 + sqrt(2299))) + -4 + -2 + sqrt(2299) + 1 + -2) + 2)**2. -6600*sqrt(19) + 85264 Simplify (2 + 3 + -1*(sqrt(98) + sqrt(98)*-3)**2 + sqrt(98))*-4*3. -84*sqrt(2) + 4644 Simplify 6*((1 + sqrt(171))*-4)**2 + 3. 576*sqrt(19) + 16515 Simplify -1 + 6*(3 + sqrt(1872))**2*-4. -45145 - 1728*sqrt(13) Simplify (-1*sqrt(117)*-1*-5)**2 + -4 + sqrt(117) + 0 + sqrt(117) + (sqrt(117) - (sqrt(117)*1)**2) + -1. 9*sqrt(13) + 2803 Simplify ((sqrt(126)/(sqrt(6) - sqrt(96)) - (sqrt(756) - (-1*sqrt(756) - sqrt(756)) - sqrt(756)))/((sqrt(33) + 1*sqrt(33)*1 + sqrt(33))/sqrt(11)))**2. 9583/81 Simplify 1 + (sqrt(1372) - (4*sqrt(1372) - sqrt(1372)))/(sqrt(16)/(sqrt(32)/sqrt(8)) + sqrt(4) + sqrt(4))*-5. 1 + 70*sqrt(7)/3 Simplify -4 + -3*sqrt(112) + sqrt(112) - (3 + (sqrt(7) - (sqrt(7) - (sqrt(7) + 1)))**2 - (5 + sqrt(63))). -7*sqrt(7) - 10 Simplify ((-4 + 3 + sqrt(300))*2 + -4)**2. -240*sqrt(3) + 1236 Simplify sqrt(24)/(1*sqrt(2)) + (sqrt(12) - (sqrt(192) + 4)). -4*sqrt(3) - 4 Simplify -6*(5 + (sqrt(1900) + -2*sqrt(1900) + sqrt(1900))*-1 + -3 + -1). -6 Simplify -2 + ((sqrt(175) - (sqrt(175) - (-2*sqrt(175) + 0))) + (sqrt(175) - (sqrt(175) - (-5 + 1 + sqrt(175)))))**2. 40*sqrt(7) + 189 Simplify (3*(sqrt(187) + ((sqrt(187) - -2*sqrt(187)) + sqrt(187) - sqrt(187)) + sqrt(187)) - sqrt(187))/sqrt(11) - ((-1*sqrt(68))**2 + -4). -64 + 14*sqrt(17) Simplify (3*(sqrt(187) + (sqrt(187)*-2 - sqrt(187)) + sqrt(187)))/(sqrt(11) - sqrt(176)*3 - sqrt(11)) + 3. sqrt(17)/4 + 3 Simplify ((sqrt(480) - -2*sqrt(480)*-4) + sqrt(480))/(sqrt(1210)*-2). 12*sqrt(3)/11 Simplify (-3 + (-1 + 1 + sqrt(288))*6 + -1*(sqrt(288) + 0) + 3 + sqrt(288)*-1)**2. 4608 Simplify (4*(sqrt(117) - 1*sqrt(117))*-2)/((sqrt(9) - sqrt(9)*-1*-3) + -4*(sqrt(9) - sqrt(18)/sqrt(2)) + sqrt(9)). 0 Simplify -5*(-2 + -2*((-1*sqrt(320) - sqrt(320)) + 1)**2*-3). -38420 + 960*sqrt(5) Simplify (4*(sqrt(637) + 0) - -3*sqrt(637)*2)**2 + (-5 + (sqrt(637) - (sqrt(637) + 1))**2 + sqrt(637) - (1 + sqrt(637) + 3)). 6
{ "pile_set_name": "DM Mathematics" }
*4 Expand (-o + 4*o + 0*o)*(2 - 9 - 2) - 6*o + 43*o + 34*o. 44*o Expand (6*s**2 - 4*s**2 - s**2)*(2 + 5 - 2 + 2 + 1 - 2 + (-1 + 0 + 2)*(3 - 6 + 1) - 1 + 1 + 1 + 1 + 2 - 2 + 3 - 6 + 0 + (3 - 1 + 0)*(-2 + 0 + 0)). -s**2 Expand (-4 + 3 + 2)*(-30*i + 76*i + 132*i). 178*i Expand 0*r - 4*r + 3*r + (3 + 3 - 4)*(1 - 1 - 2*r) + 3 - 3 + r - 126 - 2*r - 113 + 272. -6*r + 33 Expand 2*a - 4*a + 3*a + (3995*a - 1925*a - 1963*a)*(6 + 1 - 5). 215*a Expand -4*v - 5*v - 2*v - 3 - 3*v + 3 + v + 0*v - 2*v + (-3 - 1 + 5)*(-1 + 2*v + 1) - 1 + 1 + v + 3*v - v + 0*v. -10*v Expand (3*r + 12*r - 4*r)*(r**2 - 2*r**2 - r**2)*(4 + 1 - 3)*(4 - 3 - 6)*(5*r - 3*r - r). 220*r**4 Expand (7 + 1 + 0)*(-2*v**2 + v**2 + 0*v**2) + (-v + 1 - 1)*(1 - v + 0 + 2*v). -9*v**2 - v Expand -2 + 2 + d + (-4*d + 17 - 17)*(-3 + 0 + 2) + 77 - 77 - 74*d. -69*d Expand (-w - 2*w + 4*w)*(-50 - 27 + 25)*(4*w - 2*w - 3*w)*(w**2 - 2*w**2 - w**2). -104*w**4 Expand (-2 - 1 - 11)*(3*v - 4*v + 2*v) + (-5 + 3 + 0)*(3*v - v - 3*v) + 4*v + 0*v - 5*v. -13*v Expand 1 + 4*n**5 + n**5 - 6*n**5 + (-5*n**3 + 22*n**4 + 3*n**3 - 11*n**4)*(0*n + 2*n + 0*n). 21*n**5 - 4*n**4 + 1 Expand 44*i**3 + 9*i**3 - 6*i**3 + (0*i**3 - 2*i**3 + 0*i**3)*(5 - 3 + 1). 41*i**3 Expand (-4 - 21 - 13 - 12)*(2 + 1 + 1)*(i + 0*i + 0*i). -200*i Expand (1 + 3 + 6)*(4 + 2 - 4)*((0 + 0 + 2*i)*(-i - i + 4*i) - 2*i**2 - 3 + 3). 40*i**2 Expand (2 + 2*q - 4 - 3*q)*((21 - 36 - 62)*(0 + 0 + 2) - 1 - 2 + 1). 156*q + 312 Expand 3*p**5 - 3*p**5 + 6*p**5 + (-10*p**2 - 13*p**2 - 16*p**2)*(p**3 + p**3 + p**3) - 2*p**5 + 2*p**5 - p**5. -112*p**5 Expand (0*h - 3*h + 2*h)*(47 - 47 - 14*h) + 7 - 3 - 1 - h**2. 13*h**2 + 3 Expand (i + 6*i**3 - i)*(4 - 1 - 4)*(-2*i**2 + 2*i**2 + 2*i**2) - 26*i**5 - 23*i**5 + 87*i**5. 26*i**5 Expand (3 + 1 - 3)*(-u + 0*u + 0*u) + u - 2 + 2 - u - 2*u + 5*u + (29 - 13 + 32)*(-2*u - u + 2*u) + 3*u - 7*u + 2*u. -48*u Expand (18*y**2 - 13*y**2 - 14*y**2)*(0*y + 0*y - 5*y). 45*y**3 Expand (q**2 - 1 + 1)*(-2*q + 154 - 154 + 52*q**3) + 2*q + 2*q**5 - 2*q. 54*q**5 - 2*q**3 Expand (-27*s + 0*s + 0*s + (0 - 3 + 1)*(-2 + s + 2))*(2*s**4 + s**4 - 4*s**4). 29*s**5 Expand (1 + 1 + 0)*(9*v + 19 - 19)*(-2 + 0 + 1 + 5 - 4 - 2 + 1 + 2 - 1 + (-2 - 5 + 5)*(5 + 0 - 4) - 2 + 4 - 1 - 3 + 4 - 3 + 1 + 0 + 1)*(1 + 0 + 4). -90*v Expand (-2*l**5 + 5*l**5 - 4*l**5)*(17 - 1 - 4) + (-2*l**4 + 4*l**2 - 4*l**2)*(5*l - 1 + 1). -22*l**5 Expand (-4*d + 23*d + 99*d + (0*d + 3*d - 5*d)*(2 + 0 + 0))*(0 + 0 + 2*d). 228*d**2 Expand (j + 2*j + j)*(0*j + 0*j - 2*j)*(-3 + 9 + 3). -72*j**2 Expand (0*a + 0*a + a**2)*(-27*a**2 + 45 - 53 + 40*a**2). 13*a**4 - 8*a**2 Expand (368*r - 361*r + 0 + 8)*(1 - 1 - 2). -14*r - 16 Expand (2*l**2 + 0*l + 0*l)*(-27 - 2*l + 27)*(5*l - 13*l - 31*l) - 2*l**4 - 4*l + 4*l. 154*l**4 Expand -4*q**3 + 4*q**3 + 2*q**5 + (4*q**3 + 0*q**3 - q**3)*(-2*q**2 - 3*q**2 + 4*q**2)*(1 + 0 + 0 + 1 + 1 - 1 + (-4 - 1 + 3)*(1 - 3 + 1) + 1 + 0 + 2). -19*q**5 Expand (1 - 2*i - 1)*(16*i**2 - 16*i**2 + 8*i**3) + 2*i**4 + 2*i**4 + 1 - i**4 + (-2*i**3 - i**3 + 2*i**3)*(4*i + 5*i - 2*i). -20*i**4 + 1 Expand (1 + q - 1 + (-1 - q + 1)*(-3 - 13 + 1))*(4*q + q + 3 - 2*q). 48*q**2 + 48*q Expand (-2*y + 23 - 18 - 14)*(-2*y + 6*y - 5*y). 2*y**2 + 9*y Expand (-5*a**3 + 4*a**3 - a**3)*(89*a**2 - 1370*a + 1370*a) + a**5 - a**5 + 2*a**5. -176*a**5 Expand (-l - 9*l**3 + 78 - 78)*(743 + 13*l - 743). -117*l**4 - 13*l**2 Expand -4*a**2 + 4*a**2 + 2*a**3 + (0 + 0 - a)*(a**2 - 5*a**2 + 3*a**2) + 155*a**2 - 155*a**2 + 17*a**3. 20*a**3 Expand (-1 + 0 - 2)*(o**2 + 3 - 3) + 6*o**2 - 6*o**2 + 7*o**2 + (-3 + 3 - o)*(-2*o - 4*o + 7*o) + 2*o**2 - 2 + 2 - o**2 + o**2 - 2*o**2. 3*o**2 Expand (2*k + 4 - 4)*(0*k + 14577*k**2 + k - 3*k**3 - 14551*k**2). -6*k**4 + 52*k**3 + 2*k**2 Expand (-1 + 4 - 2 + (2 - 4 + 1)*(-4 + 1 + 2) - 26 + 8 - 44)*(5*t - 5*t + 2*t). -120*t Expand (19 + 4 + 18)*(0 - 1 + 3)*(5*t + t - 12*t) + 2*t + 3 - 3. -490*t Expand (30*x**2 + 39*x**3 - 30*x**2)*(-1 + 3 + 14 + (-1 - 2 + 2)*(1 - 1 + 2) - 3 - 1 + 5). 585*x**3 Expand (-19*w - 11*w + w)*(-5 + 2 - 8) - 4 - 2*w + 4. 317*w Expand (0*t**3 - 2*t**3 + 0*t**3)*(0 - 2 + 4)*(-t - 3*t + 5*t + (-1 + 2 - 4)*(-2*t + 1 - 1) + (3 - 2 + 0)*(0*t - 5*t + 2*t)). -16*t**4 Expand (-16*i + 41 - 41)*(3*i + 2*i - 3*i). -32*i**2 Expand (4 - 4 + 2*s)*((239 + s - 239)*(-1 + 1 - 2) - 59*s - 5976 + 5976). -122*s**2 Expand -2*b**4 - b**2 + b**2 - b**4 - b**3 + b**3 + (b**2 - b**2 + 2*b**3)*(0 + 0 - 2*b) + 9*b**4 - 20*b**4 + 338*b**4. 320*b**4 Expand (99 - 65 + 91)*(7 - 7 + 7*v**4). 875*v**4 Expand n**5 - 52*n**4 + 24*n**4 + 25*n**4 + (-2*n + 3*n - 2*n)*(n**4 + n**4 - 4*n**4). 3*n**5 - 3*n**4 Expand (2*f**2 + 0*f**2 + 2*f**2)*(-4 + 3 + 3) + (2*f - 9*f + 14*f)*(2*f - 3*f - 4*f). -27*f**2 Expand (9*x - 20 + 20)*(8*x - 121 + 5*x + 120). 117*x**2 - 9*x Expand (-5 + 0 + 1)*(-2*y - 3*y + y) + (y + 5 - 5)*(-2 - 1 - 1). 12*y Expand 3*s**4 - s**4 - s**4 + (-3*s + 0*s + 5*s)*(s**3 - s**3 + 2*s**3) + (-39*s**2 + 73*s**4 + 39*s**2)*(2 - 2 + 2). 151*s**4 Expand -2*w - w + 6*w + 1 - 1 - 2*w + (-3 - 2 + 4)*(4*w + w - 3*w) + 0*w - 3 + 2*w + 1. w - 2 Expand (0*r**4 - r**4 - 2*r**4 - r**3)*(1 - 1 + 3*r) + 0*r**5 + 3*r**5 - 5*r**5 + (-5 - 2*r + 5)*(-10*r**2 + 9*r**4 + 10*r**2). -29*r**5 - 3*r**4 Expand (-26*n**3 + 233*n - 233*n)*(0 - 2 + 6*n - 4*n). -52*n**4 + 52*n**3 Expand (38 - 5 + 2)*(-2*w**2 - 4 + 4)*(-5*w + w + 3*w). 70*w**3 Expand (0 - 2 + 0)*(4*k - 3*k + 0*k)*(-4*k + 2*k + 3*k)*(318*k**3 + 267*k**3 - 626*k**3). 82*k**5 Expand (5*u - u - 3*u)*(2*u**2 + 3 - 3) - u**3 + u**3 + u**3 - u**3 - 3*u**3 + 5*u**3 + (22 - 10 - 4)*(18*u - 18*u + 6*u**3). 52*u**3 Expand (u**2 - 5*u**2 + u**2)*(115 - 115 + 19*u)*(1 - 2*u - 1) + 4*u**4 + 0*u**4 - 2*u**4 + (0 - 2*u**3 + 0)*(2*u - 1 + 1). 112*u**4 Expand -3 + 5 - 4*t - 9*t + (2*t + t - t)*(0 + 2 - 9). -27*t + 2 Expand (2*f**3 + 2*f**3 - 2*f**3)*(0 - 9 + 0) + 4*f**3 + f**3 - 3*f**3 - 17*f**3 - 12*f**3 + 22*f**3. -23*f**3 Expand (2*h - h - 5*h)*(2*h - 6*h - 3*h + (1 - 1 + h)*(-1 + 5 - 3) - h + 2*h + 3*h). 8*h**2 Expand (3*b - 5*b + 4*b)*(b + 0*b + b) + (b - 4*b + 5*b)*(-6*b - 5*b - 2*b). -22*b**2 Expand -2*z - 2*z + 3*z + z + 3 - 3 + (0 + 0 - z)*(-3 - 3 + 4) - z + 3*z + 0*z - 19 + 45 - 25 + 28*z. 32*z + 1 Expand -299 + 763 + i - 261 + (4 + 1 - 2)*(2 + 2*i - 2). 7*i + 203 Expand (1 - x - 1)*(98 - 322 + 9*x**3 + 176). -9*x**4 + 48*x Expand (-37*z - 11*z + 25*z)*(-2 + 1 + 3)*(0 + 0 - z) + 1 + z**2 - 1. 47*z**2 Expand (3*k + k - 2*k + 10 + 9*k - 10 + (-1 + 4 - 4)*(k + 1 - 1))*(36*k + 5*k - 9*k). 320*k**2 Expand -75 - 5*u + 74 - 2*u + (0 + 0 - 2)*(0*u - 2*u + u). -5*u - 1 Expand 3*a**4 + 2*a**4 - 6*a**4 + (-a - 5*a + 5*a)*(-5*a**3 + 2*a**3 + 4*a**3) + 233*a + 122*a**4 - 233*a + (-2*a + a - a)*(6 - 6 + 4*a**3). 112*a**4 Expand (-3*l + l + 5*l + 44 - l - 44 + (-6 + 0 + 4)*(-l + 2*l - 3*l) + 4*l + 0*l - 2*l + 4*l - 3*l + l)*(-3*l - 4*l + 5*l)*(-11*l + 11*l + 2*l**2). -40*l**4 Expand -i**2 + 2*i**2 + 0*i**2 - i + i - 3*i**2 + (-4*i - 4*i + 6*i)*(11*i - 4*i - 3*i) - 5*i**2 + 2*i**2 + 4*i**2. -9*i**2 Expand (0*j - 3*j - 2*j)*(28*j - 28*j - 82*j**4). 410*j**5 Expand (-4 + 4 - 3)*(-2*o + 3 - 3)*(-28*o - 36*o + 60*o + 1). -24*o**2 + 6*o Expand 0 - 1 + 7*j**4 - 5*j**4 + (-4 - 2 - 25)*(2*j**4 + j**4 - 5*j**4). 64*j**4 - 1 Expand (4 - 1 - 4)*(26*g**2 - 31*g**2 - 3 - 2). 5*g**2 + 5 Expand (1 - 15 + 13 + 10*o)*(-1 - 3 + 15)*(2 + 3 - 3). 220*o - 22 Expand -n**2 - 2 + 2 - n - 2*n**2 + n + (3*n - 2*n - 2*n)*(-3*n + 0*n + 2*n) + 4*n**2 + n**2 - 3*n**2 + (-4*n - 5*n + 14*n)*(0*n - n + 4*n). 15*n**2 Expand (-4*k - 2*k + 5*k)*(k - 2*k + 0*k) - 229*k - 21*k**2 + 229*k + (0 + 0 + 1)*(1 - 3 + 1)*(3*k + 7*k + 3*k + k**2). -21*k**2 - 13*k Expand (-9*x - 19*x + 27*x)*(3*x**3 + 0*x**3 - 5*x**3). 2*x**4 Expand (-26*w**2 + 46*w + 7 - 15*w - 31*w)*(10*w**2 - 1 + 1). -260*w**4 + 70*w**2 Expand (3 + 212*l + 0 - 243*l + (-1 + 1 + 2)*(3 - 3 + l) + 0*l + 0*l + 2*l)*(3 - 1 - 3)*(2 + 2 - 3). 27*l - 3 Expand -h**2 - h**2 + h**2 + (-3*h + 2*h + 2*h)*(-4*h + 2*h + 0*h) + (3 - 2 + 0)*(0*h**2 - 2*h**2 + 0*h**2) - 2*h + 2*h - h**2 + 1 - 1 + 2*h**2. -4*h**2 Expand (3 + 1 - 3)*(-15*g + 97*g + 205*g + 48*g). 335*g Expand (-2*w + w**2 - 3*w**2 + w**2)*(10*w - 19*w - 14*w + (2*w + 1 - 1)*(2 + 3 - 6)). 25*w**3 + 50*w**2 Expand (-4*l**2 + 2*l**2 + 3*l**2)*(1010 - 119 - 251 + 736)*(l**2
{ "pile_set_name": "DM Mathematics" }
n. Let l(b) = c*o(b) - 7*h(b). Give l(-2). 3 Let b(q) be the second derivative of -q**4/12 + 4*q**3/3 - 4*q**2 + 14*q. What is b(7)? -1 Suppose 4*g = 5 + 3. Suppose 4*w = -2*p + 18, 2 - 3 = -3*w + p. Let k(j) = -3*j**w + j + 6*j**2 - 2*j**g. What is k(0)? 0 Let w(p) = 5*p**3 - 3*p**3 + 0 + 1 - p. Let u = 62 - 61. Determine w(u). 2 Let p(q) = q**2 - q. Let b(z) = -z**3 - 7*z**2 + 6*z + 1. Let x(u) = -b(u) - 5*p(u). What is x(-1)? 1 Let l = -5 + 9. Let a be ((-10)/l - -2)*10. Let v(y) = y**3 + 5*y**2 - y - 5. Calculate v(a). 0 Let y(a) = -3*a**2 - 3*a - 3. Let p = 9 - 7. Suppose -p*m - 4 = 0, n = 3*n - 2*m. Calculate y(n). -9 Let c(g) be the first derivative of g**2/2 - g + 5. Calculate c(4). 3 Let i be (2/(-6))/((-2)/(-6)). Let q be (-6)/3 + (0 - i). Let o(a) = -10*a + 4. Let t(g) = 11*g - 5. Let h(n) = 4*o(n) + 3*t(n). Determine h(q). 8 Let f = 8 - 5. Suppose 2*y = 3*y + f. Let p(w) = w**2 + 1. What is p(y)? 10 Let k(a) be the second derivative of 1/6*a**3 + 2*a - 3/2*a**2 + 0. Determine k(-4). -7 Let m be (-5)/4 + 36/(-48). Let p(a) be the third derivative of 1/3*a**3 + 0 + 1/20*a**5 + 1/6*a**4 - a**2 + 0*a. Calculate p(m). 6 Let x(h) = -h + 9. Let z be x(9). Suppose z*u + 4*u - 20 = 0. Let p(n) = -n**2 + 3*n. Calculate p(u). -10 Let z(t) = 5*t - 1. Suppose 0 = -c - 4 + 6. Suppose 0 = -c*g - 0*g - h + 2, -5*g - h + 5 = 0. Give z(g). 4 Suppose -2*o + 1 = -7. Let h(x) = x**3 - 4*x**2 - 3. Give h(o). -3 Let y(n) = 5*n**2 - n + 1. Suppose -4*a + 5 = a. Give y(a). 5 Suppose 5*h + 4*l = -12, 2*l - 5*l = 3*h + 6. Let q(n) = -7*n + 2. Determine q(h). 30 Let c(v) be the first derivative of -v**3/3 - 3*v**2 + 3*v + 1. Suppose -14 = -4*a - 2*g, 0*a = 2*a + 3*g - 9. Let f be a/(3 + (-14)/4). Give c(f). 3 Suppose f = -3*u + u + 5, -2*f + 7 = 3*u. Let a be f/((1/(-1))/(-3)). Let l(i) = i**3 + 2*i**2 - 2*i + 1. Let m be l(a). Let h(s) = 2*s + 2. What is h(m)? -2 Let s(x) = 2 - 52*x + 2 + 53*x. Determine s(-4). 0 Let m(q) = -q**3 + 6*q**2 - 5*q + 4. Let t be 6 - 1 - 1/1. Let o(b) = 3*b - 4 + t*b - b - b**2. Let d be o(3). What is m(d)? 4 Let b = 10 + -16. Let z(r) = 14*r**3 + 15*r**2 - 35*r - 38. Let l(h) = 5*h**3 + 5*h**2 - 12*h - 13. Let m(p) = -11*l(p) + 4*z(p). Determine m(b). 3 Let c(h) = h**2 + 5*h - 10. Let t = -74 - -67. Determine c(t). 4 Let s(c) = c**2 - 4*c + 1. Let y = 31 - 17. Let d = -10 + y. Suppose d*a + 21 = 4*i + 5, -2*a + 13 = 5*i. Give s(i). -2 Let s(m) = 4*m**2 + m. Let h be s(-1). Let c = h + 0. Let u(p) = 2*p**2 + 3*p**c - 6*p - 3*p**3 + 3*p**2 + 5 + p**3. Determine u(-6). 5 Let r(g) = -g**3 + 4*g**2 - 2*g - 2. Let a(s) = -s**2 + 4*s - 2. Let x be a(2). What is r(x)? 2 Let l(s) = 0 - s - 4 + 8. Calculate l(7). -3 Let h(x) be the third derivative of x**6/180 + x**5/60 + x**3/6 + x**2. Let d(m) be the first derivative of h(m). Give d(-2). 4 Let a(c) be the first derivative of c**4 - c**3 + c**2 + c - 53. Give a(2). 25 Let y(b) = -2*b. Let n be (8/(-3))/4*-15. Let d = 7 - 4. Suppose -2*v = -2*s + 1 + d, -4*s = 2*v + n. Give y(v). 6 Let o(b) be the first derivative of -b**4/4 - 4*b**3/3 - b**2 - 3*b + 58. Determine o(-4). 5 Let p = 1 + -6. Let g(j) = j**2 + 9*j + 6. Let r(x) = -x**2 - 10*x - 7. Let d(w) = 6*g(w) + 5*r(w). Determine d(p). 6 Let l(j) = 11*j**2 + 4*j + 7. Let v(m) = m**2 + m + 1. Let y(p) = -l(p) + 6*v(p). Calculate y(1). -4 Let m(x) = x**3 + 2*x**2 - 3*x + 3. Let f be m(-3). Let u(w) = f*w**2 - 2*w**2 + 4 - 5. Give u(-3). 8 Let k be ((-4)/(-5))/(4/10). Let y(u) = 0*u**k - 5*u - u**2 + 0*u**2 + 6. Give y(-5). 6 Let t be 5*(4 - -2 - 1). Suppose t = -4*i + 5. Let m(g) = -g**2 - 6*g. Let u(d) = d**2 + 7*d. Let c(z) = i*u(z) - 6*m(z). Determine c(0). 0 Let v(x) be the second derivative of x**5/20 - x**3/6 + 15*x**2/2 - 9*x. Calculate v(0). 15 Let m(x) = -2*x - 5 + 11 - 5 - 7. Determine m(-6). 6 Let x(r) = r**3 - 4*r**2 - 7*r. Suppose -c = 5*b + 19 + 12, 4*c = 2*b - 36. Let o = c + 16. What is x(o)? -10 Let q(s) be the third derivative of -s**2 + 0*s - 7/6*s**3 + 1/24*s**4 + 0. Give q(5). -2 Suppose 3*n = -5*t + 26, 1 = 5*t + 11. Suppose -n = -0*l - 4*l. Let m(u) = -2*u**3 - 4*u**2 - 4*u - 2 + u**l - u**3. Give m(-2). 6 Suppose 3*t - 20 = 8*t - 3*n, 5*n = 5*t + 20. Let g(v) = v**2 + 6*v + 6. What is g(t)? -2 Let p(o) = o**3 + 2*o**2 + 4*o + 3. Let v be p(-2). Let a(h) = -5*h**2 - 1 + 4*h**2 - 4*h - 3*h. Give a(v). 9 Let t(v) = -v - 5. Let k(n) = -n + 10. Let z be k(13). What is t(z)? -2 Let g(k) = 1. Let r(t) = -t - 12. Let z(w) = -4*g(w) - r(w). Let d = -46 + 32. Let a be ((-35)/d)/(2/(-4)). Give z(a). 3 Let b(i) = -10 + 19*i - 14*i + 5. Determine b(6). 25 Let j(a) = a**3 + a**2 - a + 1. Suppose 0 = -2*n - 2*n - 8. Let g be j(n). Let l(b) = -5*b**2. What is l(g)? -5 Suppose 2*b + r - 11 = 0, -2*r + 0*r = 5*b - 27. Let j be (-4)/10 - (-12)/b. Let v(y) = -y**2 + 3*y - 3. Determine v(j). -1 Suppose 5*v + 15 = 0, -3*v = f - v + 2. Let j be ((-18)/12)/((-3)/f). Let c(m) = m**3 + 2*m**2 - 3*m + 1. Calculate c(j). 11 Let a(t) be the second derivative of -t**5/20 - t**4/12 + t**3/6 + t**2/2 + 52*t + 2. Let d = -4 - -2. Calculate a(d). 3 Let t(k) = -2*k**3 + 2*k**2 + k - 2. Let l(b) = b - 7. Let h be l(9). Determine t(h). -8 Let y(i) = i**3 - 3*i**2 + 2*i - 1. Let h be y(3). Let m be (-3 - -5) + 1 + 0. Let a(s) = 3*s - 8*s - m + 4*s. What is a(h)? -8 Suppose -1 - 9 = -2*l, 0 = -5*z - l - 10. Let x be (2/4)/((-1)/(-6)). Let p(u) = -5*u**2 + 3*u**2 + 0*u**2 + 4 - x*u. What is p(z)? -5 Let n(j) be the first derivative of -j**2 - 5*j + 3. Let m be n(-5). Suppose 0 - 5 = -m*u. Let i(s) = s. Determine i(u). 1 Suppose 2*j = 6*p - 3*p - 1, 2*p = -j - 4. Let g be p*4*7/(-14). Let x = 7 - g. Let u(k) = k**3 - 5*k**2 + k - 4. What is u(x)? 1 Let d = 4 - 1. Let v(x) = -d - 1 - x + 2*x. Let y be (-1 + 1)/(1*-1). Give v(y). -4 Let i(r) = r**3 + 1 - 63*r + 131*r - 3*r**2 - 73*r. Calculate i(4). -3 Let i be (-5 + 1)*(-3)/(-4). Let r(q) = 0*q + 0*q + 0*q + 2 - 2*q. What is r(i)? 8 Let c(b) = -8*b + 1. Let m(r) = 7*r - 1. Let k(o) = -4*c(o) - 5*m(o). Suppose -7 = 3*x + 2. Let d be (-1)/(x/(-2))*3. What is k(d)? 7 Suppose -d - 2*d = -60. Let j(k) = k**2 + d - 2*k - 9 - 8. Suppose 26 - 6 = 5*b. Determine j(b). 11 Suppose -9*v + 36 = 3*v. Let n(k) = 3*k + 2. Give n(v). 11 Let f(g) = -g**2 - 4*g - 6. Suppose 5*k + j + 32 = 0, 0 = -3*k - 3*j - 0 - 12. Let t = -5 - k. Suppose -x = -4*a - 4, t*x + 2 = -a - 8. Give f(x). -6 Let x(a) = 7*a + 2. Let k(r) be the first derivative of 10*r**2 + 7*r + 2. Let u(d) = 4*k(d) - 11*x(d). Give u(-4). -6 Let f(n) = n**3 - 4*n**2 + n - 4. Let q be (2 - 3)/((-1)/4*1). Give f(q). 0 Let k(c) be the first derivative of -c**7/840 + 7*c**6/360 - c**5/20 - c**4/12 + 8*c**3/3 + 3. Let t(u) be the third derivative of k(u). Determine t(6). -2 Let v(o) = -15*o**3 + 8*o**2 - 8. Let z be 21 + 2*1/(-1). Let p(d) = 4*d**2 - 4 + 19*d - 7*d**3 - z*d. Let b(t) = 13*p(t) - 6*v(t). Determine b(3). 5 Let w(q) = -q - 8. Let z(s) be the third derivative of 2*s**2 - 2/3*s**3 + 5/24*s**4 + 0 + 1/20*s**5 - 1/120*s**6 + 0*s. Let g be z(4). Give w(g). -8 Let v(w) = -4*w**3 + 2*w - 1. Suppose -19 - 17 = -2*r. Suppose 3*t + 4 = -2*x + r, -4*x = -5*t + 16. What is v(x)? -3 Suppose -5 = t - 4. Let h = 0 + t. Let v be 12/(-3 - -4 - h). Let f(j) = 2*j - 9. Calculate f(v). 3 Suppose 0 = -2*x - 15 + 5. Let q(w) = -w**2 - 3*w + 5. Determine q(x). -5 Let m(l) = -10*l - 5. Let v(r) = -r - 1. Let h(a) = m(a) - 4*v(a). Determine h(3). -19 Let y(n) be the third derivative of -n**9/60480 - n**8/2880 - n**7/2520 - n**6/90 + 7*n**5/60 - 4*n**2. Let s(o) be the third derivative of y(o). What is s(-7)? 6 Let t = -2 + 1. Let i = -4 - t. Let n(r) = -2*r**3 - r**2 + 11*r - 2. Let p(y) = -3*y**3 - y**2 + 17*y - 3. Let o(s) = 8*n(s) - 5*p(s). What is o(i)? -10 Let k(y) be the third derivative of -5/24*y**4 - 5*y**2 + y**3 + 0*y + 0 + 1/60*y**5. Give k(4). 2 Let w(p) be the second derivative of 7/2*p**2 + 1/20*p**5 - 1/6*p**3 - 1/12*p**4 + 6*p + 0. Determine w(0). 7 Let w(y) be the second derivative of y**5/20 + 2*y**4/3 - 2*y**2 + 21*y. Calculate w(-8). -4 Let f(s) = s**2 - 2*s - 2. Let m(q) = -3*q - 8. Let x(v) = -4*v - 9. Let g(l) = -3*m(l) + 2*x(l). Let a be g(-4). What is f(a)? -2 Suppose 3*i = -3*y - 1 + 10, -3*i = -9. Suppose j + 2*j - 33 = y. Suppose -9 - j = -5*w. Le
{ "pile_set_name": "DM Mathematics" }
4*q - 12 - 7, -4*q + 13 = b. Let r = -25 - -30. Suppose 0 = -r*u - 0*u + 25, 3*u - 12 = 3*i. Put i, b, -0.4 in decreasing order. i, -0.4, b Let p = 1243 + -1238. Put -16, -7/5, p in increasing order. -16, -7/5, p Suppose -3*w = 1 + 5. Suppose -2*u - t = 2*u + 5, 2*u = -2*t - 4. Sort u, -5, 5, w. -5, w, u, 5 Let a be 5 + 6 - (-1 - 1). Sort -3, 0, 3, a in ascending order. -3, 0, 3, a Suppose 3 + 1 = 4*v, j = -3*v - 4. Put 0, j, 2, -3 in ascending order. j, -3, 0, 2 Suppose -2*o = 2*o + 4. Let i = 33/14 + -18/7. Put i, o, -0.5 in decreasing order. i, -0.5, o Suppose -103*n + 63*n = -1320. Put 4, -3, n in descending order. n, 4, -3 Let t = 39.7 - 37.81. Let x = t + 0.11. Let a = -5.1 - -0.1. Put x, a, -2/5 in ascending order. a, -2/5, x Let a be 0/(-50) + 6/(-10). Sort a, 3/7, 1.1 in decreasing order. 1.1, 3/7, a Let i = -153.7 + 158.7. Let j = 6 + -5.7. Put 1/7, i, j in ascending order. 1/7, j, i Suppose -8*h - 15*h = -115. Sort h, 96, -1, -2 in descending order. 96, h, -1, -2 Suppose -3*r - 2*b - 4 = r, 5*b - 16 = 3*r. Suppose -4*k + 17 = 5*f - 16, -23 = k - 5*f. Put k, r, -3 in descending order. k, r, -3 Let n = 36.36 + -38. Let d = -1.36 + n. Sort 1, 1/2, -2, d in descending order. 1, 1/2, -2, d Suppose 19*a + 22 = -16. Put a, 1, 3 in increasing order. a, 1, 3 Let y = 76.35 + -69. Let p = y + -7. Let s = p - -0.15. Put s, -1/5, 7 in ascending order. -1/5, s, 7 Let m = -33 + 36. Let l = -22/15 - -39/5. Let x = -6 + l. Sort m, x, 5 in decreasing order. 5, m, x Let q = 0.23 + -17.83. Let h = 18 + q. Put h, -3, -5, -1/2 in descending order. h, -1/2, -3, -5 Let d = 13684 - 13687. Suppose -4*n = -2*n + k - 8, 2*n - 8 = -3*k. Put 5, d, n in descending order. 5, n, d Let x be (-1 - 0) + (7 - 2). Let s be -1 + -6*2/x. Let y(z) = z - 3. Let w be y(4). Sort w, 5, s in descending order. 5, w, s Let n(y) = 16*y. Let s be n(1). Let z(w) = w - 19. Let b be z(s). Let i = 11 - 7. Sort i, 1, b in increasing order. b, 1, i Let m be (31 - 27)/(-1*(-4)/(-2)). Put 1, 0, 5, m in descending order. 5, 1, 0, m Suppose -5*z + z + 3*s = 125, -2*s + 151 = -5*z. Put -2, -3, z in ascending order. z, -3, -2 Let j = 0.929 - 0.629. Put -1.2, j, 0 in descending order. j, 0, -1.2 Let k(h) = -7*h**2 + h. Let r be k(-1). Let l = r - -25/3. Put -0.12, l, -1 in descending order. l, -0.12, -1 Suppose 0 = 4*d + 12, -a = a - d + 1. Sort -4, a, -10, 3 in decreasing order. 3, a, -4, -10 Let l = 147 - 79. Suppose x - 6*x + 18 = -o, 3*x - l = 5*o. Sort -2, -3, o in descending order. -2, -3, o Let w = -103 + 113. Let u = 19.2 + -29.3. Let t = u + w. Sort t, -8, 4/9. -8, t, 4/9 Suppose -q + 5*q = 48. Suppose -2*j - q = -8*j. Put 5, -4, j in descending order. 5, j, -4 Let l = 5428431/30791761 - 42/21047. Let n = l - -1/133. Sort 0, n, -1/5 in ascending order. -1/5, 0, n Let b = 49.8 + -47.4. Sort 2/21, b, -0.2 in increasing order. -0.2, 2/21, b Let x = 0.228 - 0.728. Sort -2/5, -5, x. -5, x, -2/5 Let j(y) = -38*y - 155. Let z be j(-4). Sort 4/7, z, 0.5 in ascending order. z, 0.5, 4/7 Let p(a) = 5*a**3 - 3*a**3 - 3 + 7 - 3*a**3 - 7*a**2. Let h be p(-7). Sort -3, -5, h in increasing order. -5, -3, h Let q = -19268 + 19269. Suppose -l + 4*l = -54. Put 2, q, l in increasing order. l, q, 2 Let x = -1206/65 - -288/13. Let n = x + -19/5. Put -3, -1/3, 0, n in increasing order. -3, -1/3, n, 0 Let s be ((3 - -3) + -1)*2. Let t be 2/8 - (-13)/(-4). Let f be (t - -7)*-1 + 3. Sort 3, s, f in ascending order. f, 3, s Let k(v) = v**2 - 5*v + 5. Let r be k(4). Let s(d) = -d**2 - 3*d + 3. Let b be s(-4). Suppose 9*a + 99 = -0*a. Sort b, a, r in descending order. r, b, a Suppose 4*w + 5*h + 104 = 3*h, -w + h - 29 = 0. Let q = w - -19. Let i be (-9 - -5)*(-10)/q. Sort i, 3, 1. i, 1, 3 Let k = 0.13 + 17.87. Let l = k - 27. Let x = l - -9.6. Sort x, 3, 5 in descending order. 5, 3, x Let v = -124 - -124.6. Put 0.01, v, 0.4, -0.5 in ascending order. -0.5, 0.01, 0.4, v Let x = -3/164 - 301/1476. Sort x, 1/4, 41, 2 in descending order. 41, 2, 1/4, x Suppose -10*j = 2*j + 180. Sort j, -2, 5. j, -2, 5 Let m(i) = -i**3 + 9*i**2 - 14*i + 68. Let u be m(4). Put -5, 3, u, 0 in decreasing order. u, 3, 0, -5 Let s(x) = x**3 - 5*x**2 - 4*x - 8. Let a be s(6). Let g(i) = i - 9. Let b be g(a). Put b, 19, -2 in ascending order. b, -2, 19 Suppose k - 5*j = 20, -2*j - 4 - 4 = -5*k. Sort 3, 60, k in descending order. 60, 3, k Let y = -1.999 - -2.999. Put 0.5, y, -1.1 in increasing order. -1.1, 0.5, y Let t = 143.329 - 0.329. Let r = -138 + t. Let g = 1 - 0. Put 8, r, g in increasing order. g, r, 8 Let s = 247 + -247.2. Sort 0.21, s, 5 in descending order. 5, 0.21, s Let o = -184/5 + 2382/65. Put o, -0.3, 2/7, 0 in increasing order. -0.3, o, 0, 2/7 Let r(x) = -3*x**3 - 10*x**2 + 12*x + 15. Let m be r(-4). Let s be 104/(-28) + (-4)/14. Put -2, m, s, 4 in descending order. 4, m, -2, s Suppose -5*x + 207 - 172 = 0. Put 3, 2, x, -5 in ascending order. -5, 2, 3, x Let x be 48/9 - (-6)/9. Suppose -x = 4*p - 18. Sort p, 2/3, 0.3, 0.13 in ascending order. 0.13, 0.3, 2/3, p Let w = 82.5 + -82.78. Put -3/5, w, -4 in increasing order. -4, -3/5, w Suppose 0 = -5*x - 16 + 41. Let u = 10 + -5. Suppose 7*y - 4*y = -x*b - u, 0 = -2*y. Sort b, 4, 5 in decreasing order. 5, 4, b Suppose -78 + 13 = 13*r. Let w(v) be the first derivative of -v**4/4 - 2*v**3 + 5*v - 1. Let f be w(-6). Sort 0.3, f, r in descending order. f, 0.3, r Suppose 0 = 844*m - 849*m. Put m, -53, 1 in decreasing order. 1, m, -53 Let u(k) = k**2 - 1. Let l be u(-1). Suppose l - 3 = -3*n. Suppose -9*b + 54 = 18*b. Put b, n, -3 in ascending order. -3, n, b Let q be ((-46)/(-4) - 4)*-2. Let l = q - -17. Suppose f - 2 = l*f. Sort 2, f, -4. -4, f, 2 Suppose -4*v - 5 = 5*y - 4, v - 3 = 2*y. Let j = 456 - 461. Put j, -1, v in descending order. v, -1, j Let s be 10/(-8)*(-22)/(-275). Sort -5, -1/13, -4, s. -5, -4, s, -1/13 Let r(f) = -f**2 - 23*f + 370. Let k be r(-34). Put -1, k, 5, -3 in decreasing order. 5, -1, -3, k Let o = 1/12 - 1/3. Suppose 690 = 23*r - 13*r. Suppose 3*y - 5*k = 58, -5*k = -10*y + 6*y + r. Sort 2/17, y, o in descending order. y, 2/17, o Let z = -0.204 + 0.064. Let t = z - -0.64. Sort t, 1/4, -3. -3, 1/4, t Let m = 1579 - 1576. Suppose t + 3 = 1. Sort t, m, 5 in increasing order. t, m, 5 Let n = -353 - -352. Let u be -1 - 4/(16/4). Sort -5, u, n, 3 in descending order. 3, n, u, -5 Let v be (-1337)/18 + 14/(-63). Let p = -73 - v. Let r be (-24)/(-14) + (-6)/(-21). Sort 0.4, p, r in descending order. r, p, 0.4 Let u = -6 - -7. Let n(p) = p**3 - 6*p**2 - 7*p + 6. Let v(b) = -b**2 - b + 1. Let i(a) = u*n(a) - 6*v(a). Let g be i(1). Put -3, 2, g in increasing order. -3, g, 2 Let a = 3.46 - -1.54. Let m = 2 - 1. Put -0.3, a, m in descending order. a, m, -0.3 Suppose 26*q + 8 = 30*q. Let m = -0.7 + 6.7. Let b = m - 3. Put -3, q, b in descending order. b, q, -3 Let r = -342 - -346. Put -4/5, r, 2/11 in decreasing order. r, 2/11, -4/5 Let o = -2.7 - -1.5. Let a = -1.2 - o. Let s = 8 - 8.3. Sort 4, s, a in ascending order. s, a, 4 Let d = -6.8 - 9.2. Let g = -3.5 - 12.5. Let u = d - g. Put u, 4, -0.06 in decreasing order. 4, u, -0.06 Let p be -1*9*2/(-3). Let o be (0 - 0) + (5 - p). Suppose -3*d = -2*d. Put -2, o, d in increasing order. -2, o, d Let o = 8.9 + -4.9. Let u be 4/((-8)/(-6)) - 6. Put o, u, 1/6, -4 in decreasing order. o, 1/6, u, -4 Suppose 0*h - 2*h = -n - 4, 3*n = 5*h - 9. Let t(q) = -q**3 + 2*q**2 - 1. Let v be t(2). Let d be -1 - (2 + 4)/v. Put -3, h, d in descending order. d, h, -3 Let h = -106 - -103. Put h, -2/9, 0.4 in decreasing order. 0.4, -2/9, h Let w = 0.01 + 2.99. Let t(n) = -n**3 - 18*n**2 + 15*n - 78. Let x be t(-19). Put -0.01, x, w in descending order. w, -0.01, x Let p(h) = 22*h - 5. Let i be p(0). Sort -1/4, i, 16, -2/15. i, -1/4, -2/15, 16 Let g = -51 - -41. Let b be g*(4 - 22/5). Sort 5, b, 0 in decreasing order. 5, b, 0 Suppose 30*g = 34*g - 4. Let z(u) be the first derivative of u**3/3 + 3*u**2 - 4*u - 2. Let i be z(-7). Put i, g, -2 in ascending order. -2, g, i Let s(c) = -c**2 + 4. Suppose l = 2*l - 5*y - 9, -y + 27 = 3*l. Let w = l + -6. Let v be s(w). Put -2, v, 5 in ascending order. v, -2, 5 Let h = 1163/7994 + -3/1142. Sort -2/9, h, -124 in ascending order. -124, -2/9, h Let s be 4 - (4 + -3) - 49. Let w = s - -44. Let t(l) = l**3
{ "pile_set_name": "DM Mathematics" }
) be the third derivative of 0*d**5 + 0*d + 0*d**6 + 0 + 5/6*d**3 + d**2 + 0*d**4 + 1/70*d**7. What is the derivative of b(u) wrt u? 12*u**3 Suppose -b - 2*n + 0 = 1, -5*b = -3*n - 47. What is the first derivative of 39*y**3 - 39*y**3 + 7 - b*y**4 wrt y? -28*y**3 Let x(n) = 5*n**3 - 2*n**2. Let y(l) = 6*l**3 - 2*l**2. Let j(v) = 5*x(v) - 6*y(v). What is the third derivative of j(m) wrt m? -66 Let q(k) be the first derivative of 6*k**7/7 - 5*k**3 + 2. Find the third derivative of q(n) wrt n. 720*n**3 Let i(o) be the second derivative of -17*o**5/20 - 2*o**4/3 + o. Find the third derivative of i(l) wrt l. -102 Let n(b) = 7*b**3 - 12*b**2 - 5*b. Let c(w) = 8*w**3 - 13*w**2 - 6*w. Let l = -15 - -20. Let s(t) = l*c(t) - 6*n(t). Find the third derivative of s(u) wrt u. -12 Let u(s) = -41*s**2 + 37*s - 4. Let o(y) = -y - 1. Let g(p) = 4*o(p) - u(p). Find the second derivative of g(v) wrt v. 82 Let c(h) be the second derivative of h**6/10 + 2*h**3/3 + 9*h. Find the second derivative of c(u) wrt u. 36*u**2 Let m(w) = w**2 + 3*w - 6. Let q be m(-5). Find the third derivative of q*h**2 + 4*h**6 + 0*h**2 + 0*h**2 wrt h. 480*h**3 Suppose 3*t = 5*p - 20, 0*t - t = -5. Let y be (0 - -3) + (-8 - -6). Differentiate -1 + y - 3 + p - 2*s with respect to s. -2 What is the third derivative of -2*r**2 + r**3 + 4*r**3 - 2*r**2 wrt r? 30 Let d(t) = -57*t**3 - 2*t**2 + 5*t + 54. Let r(b) = 29*b**3 + b**2 - 3*b - 27. Let c(a) = 3*d(a) + 5*r(a). What is the first derivative of c(o) wrt o? -78*o**2 - 2*o Suppose -2 = -a - 0*a. What is the derivative of 3 - 5*k**2 + k**a + 3*k**2 - 2*k**2 wrt k? -6*k Suppose 8 = -2*m + 6*m. Find the second derivative of 4*w - 3*w**m - 4 + 4 - 2*w**2 wrt w. -10 Find the second derivative of 13*q + 688*q**2 - 688*q**2 + 3*q**4 + 14*q wrt q. 36*q**2 Let z = -11 + 9. Let n(r) = -r**4 + r**2 + 2*r + 2. Let y(o) = -o**4 + 2*o**2 + 5*o + 5. Let x(s) = z*y(s) + 5*n(s). What is the third derivative of x(f) wrt f? -72*f Find the third derivative of -63*v**4 + 3*v**4 - 7 - 25*v**2 + 8 wrt v. -1440*v Let v(n) be the third derivative of -2*n**6/15 + 5*n**3/3 + 5*n**2. Differentiate v(a) with respect to a. -48*a**2 Let n(v) be the third derivative of v**6/90 + v**5/30 - v**3/3 - 4*v**2. Let j(c) be the first derivative of n(c). What is the second derivative of j(f) wrt f? 8 Let z(u) be the second derivative of 1/12*u**4 - 1/2*u**3 + 0*u**2 + 0 + 3*u. Find the second derivative of z(k) wrt k. 2 Find the second derivative of 3*x + 5 - 5 - 6*x**2 wrt x. -12 What is the third derivative of 2*h**4 - 3*h**2 - 3*h**4 + 7*h**4 + 0*h**4 wrt h? 144*h Let b(p) be the third derivative of 11*p**5/60 - 7*p**4/12 + 6*p**2. Find the second derivative of b(j) wrt j. 22 Let u(n) be the second derivative of n**4/3 - 2*n**2 + 8*n. What is the derivative of u(m) wrt m? 8*m Let i(z) be the second derivative of 3*z**5/4 - 11*z**3/6 - 18*z. Find the second derivative of i(d) wrt d. 90*d Suppose -4*i + q + 7 = 0, -i + 4*q = -5*i - 8. Find the first derivative of -n**3 + 2 - i + 7*n**3 wrt n. 18*n**2 Let o(x) be the first derivative of -2*x + 4/3*x**3 + 0*x**2 + 5. Differentiate o(c) wrt c. 8*c What is the derivative of 0 + i**4 + 3 - 2 + 6*i**4 wrt i? 28*i**3 Let z = -13 + 9. Let h = z - -7. Find the second derivative of 0*y**5 + 0*y + h*y**5 - 2*y wrt y. 60*y**3 Find the second derivative of -160*q**2 + 160*q**2 + 23*q**3 - 10*q wrt q. 138*q Let j(l) be the second derivative of -3/10*l**6 + 0*l**3 + 0*l**5 + 0 - 3/2*l**2 + 0*l**4 + 8*l. Differentiate j(m) with respect to m. -36*m**3 Let z(t) = -11 - 4 + 4*t + 0. Let y(j) = -j + 4. Let q(r) = 22*y(r) + 6*z(r). Differentiate q(b) wrt b. 2 Let b(q) be the first derivative of -q**6 + 0*q**5 + 5/3*q**3 + 0*q**2 + 0*q**4 + 0*q + 4. Find the third derivative of b(m) wrt m. -360*m**2 Let j(i) = 13*i**3 - 9*i**2 + 49*i + 9. Let p(v) = 7*v**3 - 4*v**2 + 25*v + 4. Let f(m) = -4*j(m) + 9*p(m). What is the second derivative of f(y) wrt y? 66*y Let s(w) be the first derivative of w**6/2 - 3*w**3 + 10. Find the third derivative of s(b) wrt b. 180*b**2 Let d(g) be the third derivative of 4*g**2 + 0*g**4 + 0*g + 0 + 0*g**3 - 1/120*g**6 + 1/30*g**5. What is the third derivative of d(h) wrt h? -6 Let m(f) = 2*f**2 + 3*f + 12. Let l(a) = 3*a**2 + 7*a + 25. Let t(h) = 3*l(h) - 7*m(h). Differentiate t(x) wrt x. -10*x Let h(d) be the second derivative of -d**9/1008 + d**5/60 + d**3/6 + 3*d. Let n(q) be the second derivative of h(q). Find the second derivative of n(z) wrt z. -60*z**3 Let x be 2/(-5) - 36/(-15). Find the second derivative of -2*d**5 + x*d**5 - 2*d**5 - d wrt d. -40*d**3 Let l(v) = -6*v**3 + 3*v**2 - 5*v + 5. Let c(x) = -x**3 + x**2 - x + 1. Let p = -2 - -1. Let d(o) = p*l(o) + 5*c(o). Find the third derivative of d(k) wrt k. 6 Suppose 0 = 4*x + 4 - 20. Suppose -4 = -x*p - 0*p. Let y(c) = 18*c**3 + 3. Let l(k) = k**3. Let b(i) = p*y(i) - 15*l(i). Differentiate b(f) wrt f. 9*f**2 Let l(d) = 104*d**3 + 11*d**2 + 11*d - 14. Let f(b) = 21*b**3 + 2*b**2 + 2*b - 3. Let p(v) = -11*f(v) + 2*l(v). What is the first derivative of p(i) wrt i? -69*i**2 Let m(g) = g**3 - g**2 + 1. Let f(c) = -18*c**3 + 22*c**2 - 2. Let i(n) = -f(n) - 2*m(n). Find the third derivative of i(b) wrt b. 96 Suppose 4*d + 4*p + 0*p - 52 = 0, -2*p = -6. Suppose -g = -b - 6, -2*b = -7*b - d. What is the third derivative of 2*f**g + 7 - 5 - 4*f**2 - 2 wrt f? 48*f What is the first derivative of -75*y**4 - 103*y**4 - y**2 + 211*y**4 + 57 + 3*y**2 wrt y? 132*y**3 + 4*y Let z(g) be the third derivative of 0*g**3 + 0*g**6 + 0*g**7 + 0*g + 0 - g**2 - 1/42*g**8 - 1/12*g**5 + 0*g**4. What is the third derivative of z(c) wrt c? -480*c**2 Let g(p) be the second derivative of -3/2*p**2 + 0*p**3 + 3*p + 1/12*p**4 + 0. What is the first derivative of g(n) wrt n? 2*n Find the second derivative of 23*v + 19*v**4 - 24*v**2 + 4*v**4 + 24*v**2 wrt v. 276*v**2 Let q(r) be the first derivative of -7*r**5/5 - 11*r**3/3 - 1. What is the third derivative of q(i) wrt i? -168*i Let x(c) be the second derivative of -11*c**5/20 + c**2 - c. Differentiate x(s) wrt s. -33*s**2 What is the third derivative of -20*z**4 + 18*z**4 + 8*z**4 + 7*z**2 wrt z? 144*z Suppose -b - 12 = -4*b. Find the second derivative of -d**2 + b*d + 0*d - d**2 - 3*d wrt d. -4 Let g(q) = -259*q**3 + 32*q + 86. Let z(n) = 52*n**3 - 6*n - 17. Let y(i) = 2*g(i) + 11*z(i). What is the second derivative of y(x) wrt x? 324*x Let u(p) = -29*p**3 + 18*p**2 + 3*p. Let w(h) = 87*h**3 - 54*h**2 - 8*h. Let j(i) = -8*u(i) - 3*w(i). What is the third derivative of j(n) wrt n? -174 Find the second derivative of 9*b - 54*b**4 + 14*b**4 - 5*b wrt b. -480*b**2 Let i = 32/39 + -2/13. Let o(a) be the first derivative of i*a**3 - 2 - 3*a + 0*a**2. Differentiate o(l) with respect to l. 4*l What is the derivative of -4 + 17*h - 3 + 2 - 22*h wrt h? -5 Let n(k) be the second derivative of 0 + k - 1/3*k**3 - 1/2*k**2. What is the first derivative of n(b) wrt b? -2 Let t = -2 + 6. What is the second derivative of 5*z**4 - 5*z**t - 2*z - z + 3*z**5 wrt z? 60*z**3 Let m(s) = 2*s - 5. Let a be m(6). What is the third derivative of 0*q**4 + a*q**4 + 14*q**2 - 11*q**2 wrt q? 168*q Find the first derivative of -2 - 2*t**4 - 14*t**4 + 15*t**4 wrt t. -4*t**3 Find the third derivative of f**5 - 3*f**5 - 3*f**2 + 6*f**2 + 8*f**5 wrt f. 360*f**2 Let a(k) = -21*k**2 - 6. Let z(b) = -11*b**2 - 3. Let n(q) = q**2 - 2*q - 10. Let f be n(5). Let v(r) = f*z(r) - 3*a(r). Differentiate v(j) wrt j. 16*j Suppose -15 = -4*o - o. Find the second derivative of -4*x + o + 2 - 5 + 3*x**2 wrt x. 6 Let a(t) be the second derivative of 5/12*t**4 + 0 + 5*t + 5/6*t**3 + 0*t**2. What is the second derivative of a(l) wrt l? 10 Suppose 8*x - 15 = 3*x. What is the third derivative of -2*n - n - 2*n**2 + x*n**3 + 3*n wrt n? 18 Suppose 0 = 5*l + 3 - 33. Suppose 1 = -2*r + x, 23 = -4*r + 5*x + l. Differentiate 2*n**2 + n - n + r wrt n. 4*n Let y = 7 - 5. Find the second derivative of 5*t - y + 1 - 5*t**2 + 1 wrt t. -10 Let v(c) be the second derivative of 11*c**7/42 + 2*c**3/3 + 5*c. What is the second derivative of v(s) wrt s? 220*s**3 Let b(o) be the third derivative of 2*o**7/21 + 5*o**4/8 - 22*o**2. Find the second derivative of b(i) wrt i. 240*i**2 Suppose -5*c = -2 - 8. Suppose 6 =
{ "pile_set_name": "DM Mathematics" }
**2 + k - 9. Let i be n(0). Let w(o) = -6*o**2 - 2*o - 1. Let r be w(-1). Let a = i - r. Sort -2/11, a, -5 in descending order. -2/11, a, -5 Let t = -4/7 + 23/28. Let n = -5 + 4.9. Let l = -9 - -9. Put t, n, l in increasing order. n, l, t Let d(i) = -i**3 + 18*i**2 - 12*i - 82. Let w be d(17). Sort 4, -5, -2/7, w in ascending order. -5, -2/7, w, 4 Let c be ((-81)/(-36))/((-3)/(-8)). Suppose -2*x - 48 = c*x. Sort x, 1, 2 in increasing order. x, 1, 2 Let g = 0.1782 + -0.5782. Sort -0.13, 2/5, -2/51, g in increasing order. g, -0.13, -2/51, 2/5 Let d = -877 + 874. Put d, -5, -0.078 in descending order. -0.078, d, -5 Suppose -15 = 2*c - 5*n + 8*n, 4*n + 6 = 2*c. Sort 160, 1, -5, c in descending order. 160, 1, c, -5 Let t(i) = -i**2 + 16*i - 9. Let j be t(15). Let d = -31 + 51. Suppose -u + d = -j*u. Sort 1, 3, u in descending order. 3, 1, u Let w = -20 - -19. Sort 217, w, 5 in ascending order. w, 5, 217 Let q = 71 + -67. Put -4, q, -3 in decreasing order. q, -3, -4 Let h = 1.163 + -0.663. Put h, 0.1, -0.5, -8 in descending order. h, 0.1, -0.5, -8 Let o = -985/2 - -493. Sort -23, o, 5 in decreasing order. 5, o, -23 Let y = 1.8 - 0.8. Suppose 42 = -9*z - 3. Sort y, -0.2, z in descending order. y, -0.2, z Let m = 105 + -95. Sort -1/2, -2, 0.08, m in ascending order. -2, -1/2, 0.08, m Suppose -2686 + 1174 = -18*h. Sort -1, 0, 2, h in increasing order. -1, 0, 2, h Let v = -0.509 + 0.609. Let l = 0 - 2. Sort -1/3, l, v. l, -1/3, v Let c(z) = z**3 - 4*z**2 - 4*z + 10 + 18 - 28. Let x be c(5). Put 0.3, 6, x, 1 in increasing order. 0.3, 1, x, 6 Let z = -26 + 31. Let f = -48 - -48. Put z, 1, f, 7 in descending order. 7, z, 1, f Let q be (-10)/3 - (-4 + 2 - 0). Let t = -0.06 + -0.24. Put q, t, -1/6 in ascending order. q, t, -1/6 Let g = -18.2 - -20. Let r = 2.2 + g. Put -0.1, -3/8, r in descending order. r, -0.1, -3/8 Let v(j) = -4*j + 14. Let r be v(4). Suppose -53 - 3 = -4*f. Sort 2, r, 3, f in increasing order. r, 2, 3, f Let k = -7.3 + -1.7. Let n = 9.08 + k. Sort -2/3, -1, n in increasing order. -1, -2/3, n Let s = -37 - -41. Suppose -4*w = -s*t + 5*t + 9, 0 = -5*w - 5*t - 30. Sort -2, 5, w. -2, w, 5 Let d = -12 + 16. Suppose -2*u = -3*u + 1. Sort d, -16, u. -16, u, d Suppose -5*i - 2 = 2*y, y - 5*y + 5*i = -26. Let p be ((-14)/(-42))/((-6)/y). Sort 1/3, p, 5. p, 1/3, 5 Let f be -8 + (3 - (-2)/(-1)). Sort 18, 1, f, -4 in decreasing order. 18, 1, -4, f Let h be (-957)/(-261) + 4/(-6). Let n be (9/30)/((-1)/2). Sort h, n, 0 in descending order. h, 0, n Let d = -2916 + 2921. Put d, -5, 2/3, -1/342 in increasing order. -5, -1/342, 2/3, d Suppose 4 = -6*c + 16. Let n(j) = -j**2 - 11*j + 7. Let m be n(-11). Suppose -f - m = 2*u, -2*u - 6 = -0*u + c*f. Sort -2/3, u, -2/7 in descending order. -2/7, -2/3, u Suppose 30*n = 11*n - 57. Sort n, 2, 3, -5 in ascending order. -5, n, 2, 3 Let d be -1*(-1)/6*(3 + -18). Sort d, 0.1, 4/27, -2. d, -2, 0.1, 4/27 Suppose 4*p + 6 - 26 = -4*k, -3*k - 5*p + 17 = 0. Suppose -5*n = 5*n + 80. Put -2, n, k, -4 in increasing order. n, -4, -2, k Let c(l) = l**3 + 3*l**2 - 2*l - 2. Let j be c(0). Sort 0, -3, -4, j in descending order. 0, j, -3, -4 Let d = 155/63 + -18/7. Let n = 5/9 - d. Let w = -40/9 + 298/63. Sort n, 6, w in increasing order. w, n, 6 Let s = -19.979 + -0.021. Let f = -20 - s. Let k = f - -0.5. Put -2, k, 2/3 in descending order. 2/3, k, -2 Let q = 1 - 4. Let k be -5 + -10 - (-600)/30. Put -5, k, 4, q in decreasing order. k, 4, q, -5 Let c be 2/(-8*7/(-28)). Put -6, c, -7 in decreasing order. c, -6, -7 Let m = 2208 - 2208.04. Put 2, -4, m in ascending order. -4, m, 2 Let b = 0.5 + -3.5. Let p be (-3)/6*4 + 2. Suppose 3*d + p*d = 15. Put 2, b, d in ascending order. b, 2, d Let r(s) = -s**3 - 15*s**2 + s + 18. Let h be r(-15). Let n be (-8)/h*(-12)/(-8). Let l be 2/n - 16/(-64). Put l, 5, 1/2 in increasing order. l, 1/2, 5 Let d = -1 + 2. Suppose -10*t - 144 = -94. Sort d, t, 12 in ascending order. t, d, 12 Let j(f) = -f**3 + 7*f + 8. Let a be j(-2). Sort a, -5, -10 in descending order. a, -5, -10 Let s be (10 + -10)/(-4 + 3). Suppose 4*a - 5 + 13 = 0. Put s, -5, -3, a in descending order. s, a, -3, -5 Let k = 24.69 + -22.8. Let f = 1.9 - k. Sort -0.1, -0.3, f in increasing order. -0.3, -0.1, f Let u = -2.05 + 2. Let h = 12051.9 + -12052. Sort h, -1, 2, u in descending order. 2, u, h, -1 Let l be -5 - 8/48*0 - -7. Put l, -2, -1, 6 in descending order. 6, l, -1, -2 Suppose -24*j = -148 - 140. Sort j, 2, -4 in increasing order. -4, 2, j Suppose 4 = 4*l + 24. Let k(i) = -2*i - 4. Let f be k(-3). Suppose -n - 5*j = 4 + 1, n + 2 = -f*j. Sort l, 2, n in decreasing order. 2, n, l Suppose -3*j = j + 3*a - 7, 7 = -2*j - 5*a. Let p = 14 - 12. Let x be (-64)/24 + p/3. Put j, x, -3 in decreasing order. j, x, -3 Let y = 0.05 + -13.05. Let r = -7 - y. Let b = r - 9. Put b, -2/9, 0.1 in ascending order. b, -2/9, 0.1 Let v(z) = -z**2 + 8*z - 3. Let x be v(7). Suppose -x*u + 3*y = y + 8, 4*y + 4 = 3*u. Let m be (-76)/28 - u/(-14). Put 0.3, m, -1/5 in ascending order. m, -1/5, 0.3 Let k be (18/(-12))/(9/(-24)). Suppose -k*w - w + 5 = 0. Suppose 2*m = w + 1. Sort -2, 0, m. -2, 0, m Let i = -0.05 - -1.05. Let y = 19 - 28. Let l = y - -13. Put i, 3, l in decreasing order. l, 3, i Let b(j) = j**3 + 2*j**2 - 10*j - 8. Let x be b(-4). Suppose 17 - 5 = -4*d. Put x, 3, d in decreasing order. 3, x, d Let l(h) = -3*h. Let b be l(1). Let n = 607 + -3643/6. Sort n, b, 0, 5 in ascending order. b, n, 0, 5 Suppose 65*v - 6 = 62*v. Sort 15, 0, v in increasing order. 0, v, 15 Suppose 13 = -k + 5*o, 2*k - 13 = -0*k - 3*o. Let g = -32 - -30. Sort 1, g, k in increasing order. g, 1, k Let g = -19 - -15. Let a be 0/(2/(g - -2)). Put -1, 4, -2, a in descending order. 4, a, -1, -2 Let c = 0.155 - 0.055. Sort 2, 2/5, c, 0. 0, c, 2/5, 2 Let m = 9.2 + -6.2. Sort 0.2, m, -3/4, -0.4. -3/4, -0.4, 0.2, m Let n = -271 - -247.8. Let d = -44 + 21. Let x = d - n. Sort 0.04, x, -5 in decreasing order. x, 0.04, -5 Let c be (-3)/(-4) + (-1)/2. Let t = -37.91 + -1.09. Let b = t - -38.6. Put c, b, 3/7 in increasing order. b, c, 3/7 Let w = 3.355 + -0.355. Put -0.01, -0.2, w, -0.4 in descending order. w, -0.01, -0.2, -0.4 Let p be (-44)/(-33)*-3 + 9. Sort -3, p, -1, -2 in increasing order. -3, -2, -1, p Let f = 12 + -8. Let q(h) = h**2 + 18*h - 1. Let i be q(-18). Put f, 2/9, i in decreasing order. f, 2/9, i Let t = -560 + 563. Put 15, -0.2, t in increasing order. -0.2, t, 15 Let q(t) = -t**3 - 13*t**2 + 14*t - 2. Let y be q(-14). Suppose -5*c = 2*z - 25, -z + 7 = c - 1. Sort -1, z, -4, y in descending order. z, -1, y, -4 Let h = -1.8 + -1.8. Let n = -4.1 - h. Sort n, -0.1, 0. n, -0.1, 0 Let q = -112 - -782/7. Let o = 2144 - 2142. Put q, o, 0.2 in decreasing order. o, 0.2, q Suppose -666 = -3*j - 663. Put 5, j, 4, 0 in decreasing order. 5, 4, j, 0 Let n(q) = -q**3 + 8*q**2 + q - 2. Let g be n(7). Let a = -50 + g. Put -1, a, 17 in decreasing order. 17, a, -1 Let h be ((-67)/6 - -1)*3. Let l = h - -31. Let z = 0 - 1. Put l, z, -1/5 in decreasing order. l, -1/5, z Suppose h = x + 5, 13 = -4*x - 18*h + 15*h. Let v be (0 + -2)*(-3)/(-6). Sort x, -2, v, 0 in descending order. 0, v, -2, x Suppose 30 = -3*q + q + 2*h, -36 = 4*q + 4*h. Let o be (2/4)/((-1)/8). Let y be 6/(q/o)*-2. Sort 0, 3, y in increasing order. y, 0, 3 Let h = -48 - -53. Suppose -h*y + 234 = 4*y. Sort y, 0, -5, -1 in descending order. y, 0, -1, -5 Let i = 0.1 + -0.07. Let h = i - -0.13. Let q = h - -0.34. Put -4, q, -5 in increasing order. -5, -4, q Let m = 18 - 9. Let h = -170 - -176. Let u = h - m. Sort u, -4/7, 2/15 in decreasing order. 2/15, -4/7, u Suppose -3 = 5*y - 13. Suppose -y*b + 0 = -4. Let c be 2/b*-2*-2. Put c, -6, 3 in descending order. c, 3, -6 Suppose 3*t + 8 = z - 11, 5*t + 3*z = -55. Let x be -3*(65/15 + -5). Let h(u) = u**2 + 3*u - 7. Let k be h(x). Sort -2, t, k in increasing order. t, -2, k Let j = -990 + 990.4. Let r = 20 + -9. Put r, j, -0.1 in increasing order. -0.1, j, r Suppose 0 = -0*v - v + 4. Let c(k) be the second derivative of -k**4/12 + k**3/2 - 7*k. Let z be c(3). Put z, -3, v in decreasing order. v, z, -3 Suppose 29 - 17 = -6*s. Let o(k) = k**3 + 7*k**2 + 5*k + 1. Let j be o(-6). Sort j, 5, s. s, 5, j Let f be 0 + 0/(-1) - -3. Suppose -17 + 2 = -5*d. Suppose 5*q + d*s = s - 11,
{ "pile_set_name": "DM Mathematics" }
7 - 3. Let c = 467 + -463. What is the smallest value in o, c, -1, -5? -5 Let b = -0.04 - -0.44. Let m = -75 - -76. Let a = m + 3. What is the smallest value in b, -4, a? -4 Let x = 983.7 - 934. Let v = x - 50. Which is the third biggest value? (a) 3 (b) -2/15 (c) v c Let m be (6/28)/(-3)*6. Let s = -81/7 - -236/21. What is the second biggest value in 4, m, s? s Let t = -56.52 - 0.48. Let r = t - -60. What is the biggest value in -2/33, r, 0.1? r Let n be (-2)/(-8) - (-11)/20. Which is the second smallest value? (a) 1/4 (b) 2/15 (c) n (d) -0.3 b Let s = 0.2 + 0. Suppose 4*j - 3*z = -26, 4*j - 3*j + 9 = 2*z. What is the third biggest value in 2/3, j, s, 4? s Suppose -h = -i + 3*h + 21, 4*i - 14 = 2*h. Let s be 10/1195*i/(-1). Let a = s + 504/3107. What is the second biggest value in -0.07, a, -0.5? -0.07 Let h = 74 + -73.5. Let f = 0.96 + 0.04. Which is the biggest value? (a) -0.3 (b) f (c) h b Let g = -67 - -66.96. Let r = -0.34 - g. Which is the third biggest value? (a) -1/5 (b) r (c) -1 c Let n = 976 + -975.7. Which is the third biggest value? (a) 1/7 (b) -12 (c) n (d) -0.3 d Let j = -17 - -36. Let g = 18.5 - j. Suppose 2*f + 4 = 4*f. Which is the smallest value? (a) f (b) g (c) 8 b Let a be 2 - ((5 - 0) + (-30)/12). Let b = 0.9 - 5.9. What is the smallest value in -0.4, 30, b, a? b Let o be 67/268*8/(-6). What is the smallest value in o, 17, -2/3, 5? -2/3 Let p(i) = -i + 37. Let h be p(22). Suppose -20*j = -h*j + 5. Which is the third smallest value? (a) j (b) -5/4 (c) -2/7 c Let s = -0.03 + -2.97. Let q = -6 - s. Let n = 0.1602 - 0.6602. Which is the smallest value? (a) -1 (b) q (c) n b Let l = 145 - 1303/9. Let b = 44 - 48.8. Let p = b + 0.8. What is the biggest value in p, 1, l? 1 Suppose -2 = 4*d - 2*d - 5*h, 5*d = -3*h - 36. Let t = -4.9 + 0.9. Which is the smallest value? (a) d (b) -2 (c) t a Let k(j) = 6*j**3 + 2*j**2 - 1. Let w be k(-1). What is the third biggest value in 1/2, 1/6, w, 5? 1/6 Let p = 9.37 - 0.37. Let k = p + 2. Which is the third smallest value? (a) k (b) -3 (c) -1/11 a Let c = 8 + -12. Let t = 7601 - 7600.6. What is the fourth smallest value in c, t, 2/13, 3? 3 Suppose u = -0*u - 4*v - 10, 8 = u - 5*v. Let o = -50 - -151/3. What is the biggest value in 0.1, o, u, 5? 5 Let p = 1093 + -1097. What is the third biggest value in 20, 3, p? p Let b = -0.99 - -1. Let a be (-56)/72 + -1 + 2. Let f be 940/910 - (-12)/(-26). What is the second biggest value in a, f, b? a Let k = 3 + -8. Let g be 3/(-4) - (51 - 51). What is the fourth smallest value in g, 2/9, k, -2/13? 2/9 Let y be (-4)/3 - -1 - 0. Let k(m) = -m**3 + 14*m**2 + 15*m - 4. Let x be k(15). What is the biggest value in -2, y, x? y Let y = 4.02431 - 0.02431. Let u = -2.95 - -3. What is the third smallest value in y, u, 11? 11 Let u = 6.93 - -0.07. Let w = u - 24. Let l = -16.5 - w. Which is the third biggest value? (a) l (b) 2/17 (c) -2/3 c Let w(h) = -h**3 + 5*h**2 - 7*h + 2. Let f be w(3). What is the fourth biggest value in 2, f, 2/5, -48? -48 Let d = -2 + 2. Let n = 0.266 - 0.466. What is the biggest value in d, n, -2/19? d Suppose 2*q - 54*q = -4524. Which is the second biggest value? (a) -0.2 (b) q (c) 4 c Let i be ((-14)/(-8) - -5) + (-5 - 1). Which is the biggest value? (a) 4 (b) i (c) -1 (d) 1.6 a Let m be (-2)/15*(-153)/34. Which is the smallest value? (a) m (b) 1 (c) -1/6 c Let b = 134 - 133.3. What is the second smallest value in b, -3, 5? b Let l be (-72)/324 - (-41)/63. What is the biggest value in -2/3, l, 0.13? l Suppose 11*n + 1207 = 1207. What is the biggest value in 65, n, 2/15? 65 Let q = -272 + 275. Let r(m) = -m + 3. Let b be r(0). Suppose b*j - 11 = -3*i - 2*j, 5*i + j - 11 = 0. What is the biggest value in q, -1, i? q Let h = -37.1 + 33.1. Which is the third smallest value? (a) h (b) -31 (c) 4/5 (d) -0.1 d Let s = 0.0691 + 1.9309. Which is the third smallest value? (a) 0.01 (b) -4 (c) -2 (d) s a Let t(l) = 2*l**3 - 23*l**2 + 13*l - 21. Let p be t(11). What is the third biggest value in 2, p, 0.4, 0.1? 0.4 Let w = -0.037 + 0.037. Which is the fourth biggest value? (a) -102 (b) -0.5 (c) w (d) 1 a Let f = 15.78 - 16. Let y = 0.28 - f. Suppose l = -3*u + 5 - 4, 0 = 3*l - 3. What is the second biggest value in 4/3, y, u? y Let i = -153/4 + 781/20. Suppose 5*m - 20 = 9*m. Which is the smallest value? (a) i (b) 1/4 (c) m c Let k = -0.15 + -0.6. Let r = k - -0.25. Let l = 3.7 - 4. Which is the biggest value? (a) 0.1 (b) l (c) r a Let w = -563 + 566. What is the second biggest value in 0.23, w, -1? 0.23 Let m = 59 + -22. Let n = m + -42. What is the smallest value in n, -2/13, -3/5? n Let s = -176 + 176.03. Which is the second biggest value? (a) 0 (b) 1 (c) -1 (d) s d Let s = 11.045 + -0.045. Let o = -11 + s. Which is the second smallest value? (a) -2 (b) o (c) -5 a Let g = 3.66 + -84.16. Let j = 80 + g. Let k be 0 + 2 + 280/(-133). What is the biggest value in -0.1, j, k? -0.1 Let m = 8.669 - -0.181. Let w = m + 0.15. Let p = w + -11. Which is the second biggest value? (a) -1 (b) 3 (c) p a Let f(u) = -u**2 + 5*u - 2. Let d be f(2). Suppose -d*r + 0 + 8 = 2*s, -7 = -5*r - s. Let j = 2.2 + -2.1. What is the smallest value in r, -4, j? -4 Let t = 18 + 9. Let h = 32 - t. Which is the third biggest value? (a) -0.13 (b) 3 (c) h (d) -2/5 a Let m be ((-9)/42)/3*4. Let h = -0.34 - 0.16. Let t = -3.07 + 0.07. What is the second biggest value in m, h, t? h Let z = 0.337 + -0.637. Let v = 0.03 + 0.17. Which is the second biggest value? (a) -1/2 (b) z (c) -3 (d) v b Suppose 7*d = 13*d - 192. Let v be 24/d*(-4)/6. What is the second biggest value in v, -5, 0.06? v Let z = -0.5 + -3.5. Suppose -3*i + 85 + 17 = 3*h, -4*i = -h - 1. What is the smallest value in z, h, 3, -2? z Let h = -42 - -65. Let v = 27 - h. Let o = -0.44 + 0.04. Which is the third smallest value? (a) o (b) 0 (c) v c Let y = -10.9 - -10.7. Which is the smallest value? (a) 4 (b) 7 (c) 5 (d) y d Let g = 153 + -152.6. Which is the second biggest value? (a) 19 (b) -2/9 (c) -0.2 (d) g d Let l be 14/(-5)*(-20)/70. What is the smallest value in -1/7, 3/10, l? -1/7 Let r = -42.42 + -0.58. Let s = -38 - r. Let t = 0 + 0. What is the second biggest value in t, 2, s? 2 Let l(n) = -n**3 + 4*n**2 + 6*n + 1. Let r be l(5). Let d be 2/(-5) + -13*r/(-45). Which is the biggest value? (a) d (b) 1 (c) -0.5 a Let n = 14.96 - -0.04. Let s = n - 14.9. Let g = 58 - 53. Which is the biggest value? (a) 0.5 (b) g (c) s b Let h = -5.54 - -5.94. What is the third biggest value in -2, -2/57, h, -0.3? -0.3 Let g = 0.1455 - -0.0545. Let z = 2 - 1.9. Which is the third biggest value? (a) z (b) -0.3 (c) g b Let z = -11.68 + 13.68. Which is the second biggest value? (a) -1/4 (b) z (c) 10 b Let z = -59 - 3. Let l = z - -60. Let u = -0.2 - -0.3. Which is the third smallest value? (a) l (b) u (c) 2 c Let v = 1/236 - 495/5428. Let j = -133 + 223. Let d = 92 - j. Which is the third biggest value? (a) -3 (b) v (c) d a Let k = 77.2 - 77. Let t = 0.3 + -0.2. Let f = k + t. What is the biggest value in 5, f, -0.3? 5 Let p(f) = -f**3 - 4*f**2 - 7. Let z be p(-5). Suppose -7*j + 4*j + 2*x = -15, 5*j - x = z. Which is the third biggest value? (a) -2 (b) 1 (c) j a Let z = -82 + 31. Let n = z - -56. What is the biggest value in 1/4, -3, n, 0.4? n Let y = 0.2 - 0.3. Let r = 7 - 7. What is the smallest value in -0.5, r, y? -0.5 Let n be (3 + 13)*1/1. Let p = 27 - n. Suppose -5*v - p = -5*a - 4*v, -3*v + 12 = 0. What is the second smallest value in a, 6, -1/9? a Let p = -9.39 - -11.39. Which is the third smallest value? (a) -8 (b) 0.4 (c) -0.5 (d) p b Let w = -576/2065 - 2/295. Which is the smallest value? (a) w (b) 2/5 (c) -7 (d) 1/4 c Let o = 1935/7 + -276. Let i = 40 - 101. Let m = -61 - i. What is the second smallest value in o, 5, m? o Let p = -276 + 279. Let v be 2/6 - (-1)/(-3). Suppose p*u + 11 = -5*w, v = -3*u - 2 - 4. What is the biggest value in 3/5, w, 0? 3/5 Let i = 38 - -56. Let s = -53 + i. Let m = -36 + s. Which is the third biggest value? (a) -0.3 (b) m (c) 2 a Let q = -0.446 - -0.546. Which is the smallest value? (a) -2 (b) q (c) 30/13 a Let x = -0.22 + 12.22. Let n = -12.2 - -0.2. Let o = x + n. Whic
{ "pile_set_name": "DM Mathematics" }
/9 + 20/3*h**a. -2*(h - 1)**3*(h + 11)/9 Factor 1384 + 27*l**2 - 1359 - 28*l**2. -(l - 5)*(l + 5) Let d be (-11687)/(-10556) - 2/8. Find u, given that 8/7 + 1/7*u**2 - d*u = 0. 2, 4 Let q be (-3)/8*72/(-810). Let l(i) be the third derivative of 0*i - 1/3*i**3 - 1/6*i**4 + 0 - 4*i**2 - q*i**5. Factor l(c). -2*(c + 1)**2 Let j = 42 - 40. What is x in -x**4 + 14*x + 0*x**j + 3*x**2 - 22*x + 3*x**2 + 3 = 0? -3, 1 Let -8*r + 4/9*r**3 + 0 - 28/9*r**2 = 0. Calculate r. -2, 0, 9 Let w be (2/1)/((-8)/572). Let o be w/(-14) + (-22)/847*-11. Find r such that -o*r**3 + 6 + 6*r + 15/2*r**4 - 27/2*r**2 + 9/2*r**5 = 0. -2, -1, -2/3, 1 Let n(t) be the second derivative of t**8/336 + 17*t**7/168 + 7*t**6/8 - 27*t**5/8 + 2*t**3/3 - 13*t. Let u(x) be the second derivative of n(x). Factor u(b). 5*b*(b - 1)*(b + 9)**2 Factor 4048/9*k - 3872/9 + 2/9*k**3 - 178/9*k**2. 2*(k - 44)**2*(k - 1)/9 What is j in 19/4 - 9/2*j - 1/4*j**2 = 0? -19, 1 Let s(f) be the second derivative of f**5/25 - f**4/30 - f**3/15 + f + 12. Let s(v) = 0. What is v? -1/2, 0, 1 Let j(h) = -h**3 - h**2 - h - 1. Let r(g) = -3*g**4 - 21*g**3 - 12*g**2 + 9*g - 9. Let k(m) = 9*j(m) - r(m). Factor k(y). 3*y*(y - 1)*(y + 2)*(y + 3) Suppose -4323/2*d**2 - 3/2*d**4 - 1944 + 3996*d + 111*d**3 = 0. Calculate d. 1, 36 Let a = 68200/179 - 381. Let p = a - -532/895. Solve 3/5*k**2 - 3/5 + 3/5*k - p*k**3 = 0. -1, 1 Let z(k) be the first derivative of -k**4/4 + 8*k**3/21 - k**2/14 - 1024. Factor z(d). -d*(d - 1)*(7*d - 1)/7 Suppose -8 = -6*k + k - 2*t, -11*k + t = -23. Let f(j) = j**2 - 6*j + 3. Let z be f(6). Factor 1/2*s**z - 1/2*s - 1 + s**k. (s - 1)*(s + 1)*(s + 2)/2 Factor -85184/3 - 44*g**2 + 1/3*g**3 + 1936*g. (g - 44)**3/3 Let p = 54 + -49. Let l be (-4)/(-10) - ((-103)/(-20) - p). Solve -l*m**4 + 1/4 + 1/2*m**3 - 1/2*m + 0*m**2 = 0 for m. -1, 1 Factor 0 - 4/9*w**5 - 20/3*w**3 + 0*w - 4*w**2 - 28/9*w**4. -4*w**2*(w + 1)*(w + 3)**2/9 Suppose 5*p = 4*h + 5, 3*p = -4*h + 86 - 51. Find q such that 0 + 2/3*q**3 + 2/9*q**h - 8/9*q**2 + 8/9*q**4 - 8/9*q = 0. -2, -1, 0, 1 Let x = 21 - 8. Factor -x*u**3 + 5*u**5 - 3*u**5 + 4*u**2 + 5*u**3 + 6*u**3 - 4*u**4. 2*u**2*(u - 2)*(u - 1)*(u + 1) Let c = 6 - 4. Suppose 4 = o + o. Factor 2*w**c + w**5 + o*w**4 + w**3 + 0*w**5 - 2*w**2. w**3*(w + 1)**2 Let r be (1 - -1)/(72/(-9) + 43). Let n(b) be the first derivative of 0*b - 1/14*b**4 - r*b**5 + 0*b**3 + 0*b**2 - 4. Determine m so that n(m) = 0. -1, 0 Let x be (-18)/(-10) - ((-774)/(-30) + -26). What is t in 9 + 3*t + 1/4*t**x = 0? -6 Determine o, given that -625/3 + 1/3*o**3 + 575/3*o + 49/3*o**2 = 0. -25, 1 Let z = -36 - -47. Factor 6*t**3 + 4*t**2 + 10 + 16*t**2 - 25*t - z*t**3. -5*(t - 2)*(t - 1)**2 Let p(q) = -13*q**2 + 214*q + 56. Let k(j) = j**2 - j - 2. Let d(v) = -k(v) - p(v). Solve d(y) = 0 for y. -1/4, 18 Let s(c) be the third derivative of 9*c**8/280 - 9*c**7/25 - 3*c**6/50 + 67*c**5/75 - 19*c**4/20 + 7*c**3/15 + 214*c**2. Let s(a) = 0. Calculate a. -1, 1/3, 7 Let j(s) = 45*s**4 - 150*s**3 + 144*s**2 - 36*s + 4. Let k(w) = -w**2 - w - 1. Let b(m) = j(m) + 4*k(m). Factor b(f). 5*f*(f - 2)*(3*f - 2)**2 Let y(h) be the first derivative of 1/24*h**4 - 2*h + 1/18*h**3 + 26 - 2/3*h**2. Factor y(v). (v - 3)*(v + 2)**2/6 Suppose -1123 = -20*h - 6*h + 1425. Solve -h*m**4 + 452/3*m**2 - 322/3*m**3 - 152/3*m + 16/3 = 0 for m. -2, 2/7, 1/3 Let p = 23 + -23. Let d = -78 + 80. Factor -1/5 + p*o + 1/5*o**d. (o - 1)*(o + 1)/5 Factor -80 - 251*x**4 + 129*x**4 + 127*x**4 - 80*x + 20*x**3. 5*(x - 2)*(x + 2)**3 Suppose 0 = 2*b + 7*b - 36. Suppose -5*u = -5*c + 30, 1 = -3*c - b*u - 2. Factor 4/5*g**2 - g - 1/5*g**c + 2/5. -(g - 2)*(g - 1)**2/5 Let m(z) = -23*z**3 - 70*z**2 + 74*z - 7. Let p(f) = -12*f**3 - 35*f**2 + 36*f - 3. Let a(c) = -3*m(c) + 7*p(c). Factor a(j). -5*j*(j + 3)*(3*j - 2) Let c(q) be the third derivative of -q**7/504 - q**6/144 - 7*q**4/24 - 10*q**2. Let m(d) be the second derivative of c(d). Factor m(w). -5*w*(w + 1) Let -5*o**5 + 35*o**3 + 30*o - 65*o**2 + 5819 + 5*o**4 - 5819 = 0. Calculate o. -3, 0, 1, 2 Let i(j) be the second derivative of -8*j**6/15 + j**5/5 + 4*j**4/3 - 2*j**3/3 - 49*j. Let i(n) = 0. Calculate n. -1, 0, 1/4, 1 Let o = 188 - 188. Let g(d) be the third derivative of 0*d**4 - 1/80*d**5 + o*d**3 + 0*d + 0 + 1/480*d**6 - 8*d**2. Determine z so that g(z) = 0. 0, 3 Let h(t) be the third derivative of 1/150*t**6 + 0*t**3 + 7*t**2 + 0 + 0*t - 1/15*t**4 - 1/75*t**5. Factor h(g). 4*g*(g - 2)*(g + 1)/5 Let c(h) be the third derivative of -h**6/1020 + 19*h**5/510 + 41*h**4/204 + 7*h**3/17 + 67*h**2. Factor c(d). -2*(d - 21)*(d + 1)**2/17 Let f = -944/21 - -45. Let v(j) be the second derivative of 0 + 2/7*j**2 - f*j**3 - 1/42*j**4 - j. Factor v(s). -2*(s - 1)*(s + 2)/7 Let u = -8891 - -44647/5. Factor -24/5*v**2 + 1/5*v**3 + u*v - 512/5. (v - 8)**3/5 Solve -12/5 - 7/5*v - 1/5*v**2 = 0. -4, -3 Let f = 3055 + -3051. Factor 4/3*w**2 + 0*w + 8/3*w**3 + 1/3*w**5 + 5/3*w**f + 0. w**2*(w + 1)*(w + 2)**2/3 Let q(r) be the third derivative of 1/80*r**6 + 0 + 0*r + 1/2*r**3 - 4*r**2 - 1/4*r**4 + 3/80*r**5 - 1/280*r**7. Let q(b) = 0. What is b? -2, 1, 2 Let y(v) be the first derivative of -v**3/12 - 9*v**2/8 - 2*v - 152. Factor y(c). -(c + 1)*(c + 8)/4 Let o(j) be the second derivative of -j**5/40 + 67*j**4/24 - 272*j**3/3 - 289*j**2 + 66*j + 1. Factor o(z). -(z - 34)**2*(z + 1)/2 Find y, given that 65548256/7*y**3 + 4/7 + 774192/7*y**2 + 3048/7*y = 0. -1/254 Suppose -7*p + p - 36 = 0. Let d be 75/6 - (-2 - p). Suppose -8*x - 5/2*x**3 + 2 + d*x**2 = 0. Calculate x. 2/5, 1, 2 Let p(g) be the second derivative of g**6/15 + g**5/2 - g**4/6 - 5*g**3/3 + 139*g. Factor p(d). 2*d*(d - 1)*(d + 1)*(d + 5) Let f(u) be the second derivative of 4*u - 5/96*u**4 + 0*u**2 + 1/40*u**5 + 1/24*u**3 + 0 - 1/240*u**6. Factor f(g). -g*(g - 2)*(g - 1)**2/8 Let t be (3/(-3)*0)/2. Factor 14*p - 3 + t - 2*p - 3*p - 9*p**2 + 3*p**3. 3*(p - 1)**3 Let t(k) = -k**2 + 2*k - k**3 + 3 + 2 - 3 - k**3. Let i be t(-1). Let w(b) = b**2. Let d(x) = 3*x**3 + 9*x**2 + 6*x. Let v(f) = i*d(f) - 18*w(f). Factor v(l). 3*l*(l - 2)*(l - 1) Factor 175*t**2 - t**3 - 45 + 6*t**3 + 35*t + 34*t + 6*t - 210*t**2. 5*(t - 3)**2*(t - 1) Let c(f) = 1. Let g(d) = -d**2 - 20*d + 20. Let n(u) = c(u) + g(u). Factor n(a). -(a - 1)*(a + 21) Let k(z) be the third derivative of -z**6/48 - 11*z**5/30 - 61*z**4/48 + 7*z**3/6 - 5*z**2 - 17*z. Factor k(r). -(r + 2)*(r + 7)*(5*r - 1)/2 Let l = -76 + 79. Suppose -2*q = -3*q + l*c + 2, 5*q + 3*c = 10. Solve 1/2*z**5 - 2*z**4 + 1/2*z + 3*z**3 - 2*z**q + 0 = 0 for z. 0, 1 Let o(a) be the third derivative of a**7/42 - a**6/4 + 13*a**5/12 - 5*a**4/2 + 10*a**3/3 + 2*a**2 + 52. Find f such that o(f) = 0. 1, 2 Let u(q) be the second derivative of -q**6/135 - 2*q**5/45 + 2*q**4/9 + 4*q + 19. Factor u(p). -2*p**2*(p - 2)*(p + 6)/9 Let m(u) = 184*u**4 + 292*u**3 - 12*u**2 - 68*u + 16. Let a(z) = -z**4 + z**3 + z. Let s(r) = 12*a(r) - m(r). Factor s(p). -4*(p + 1)**2*(7*p - 2)**2 Let g(k) = k**3 - k + 1. Let v = 2 + -3. Let d(s) = -2*s**3 - 30*s**2 + 154*s - 254. Let h(b) = v*d(b) - 4*g(b). Factor h(f). -2*(f - 5)**3 Let a be (121/297)/(7/168). Factor 484/9 + a*z + 4/9*z**2. 4*(z + 11)**2/9 Solve -30/11*a**3 - 14/11*a**2 + 24/11*a + 8/11*a**4 + 0 = 0 for a. -1, 0, 3/4, 4 Let l(c) = -22*c + 2623. Let z be l(119). Let 0 - 4/9*h - 2*h**3 - 10/9*h**4 - 2/9*h**z - 14/9*h**2 = 0. What is h? -2, -1, 0 Suppose 12 = 14*v - 11*v. Find k, given that 4*k**v + 24*k**2 + 1 - 8*k**3 - 2 - 16*k + 5 - 8*k**3 = 0. 1 Let y(b) = 2*b**2 + 93. Let p be y(0). Suppose -10 = -98*d + p*d. Let -4/3*z + 2/3*z**2 + d*z**3 + 0 = 0. Calculate z. -1, 0, 2/3 Let m(c) be the second derivative of c**5/570 + 5*c**4/228 + 2*c**3/19 - 7*c**2/2 + 13*c. Let p(r) be the first derivative of m(r). Factor p(o). 2*(o + 2)*(o + 3)/19 Let n(f) be the first derivative of -5*f**4/16 - 5*f**3/12 + 5*f**2 + 15*f - 126. Suppose n(h) = 0. What is h? -2, 3 What is r in -2/7*r**2 - 12/7 + 2*r = 0? 1, 6 Determine r, given that 1/3*r**3 + 1/6*r**4 + 2/3*r + 0 - 7/6*r**2 = 0. -4, 0, 1 Let x(n) be the third derivative of -2*n**7/105 - n**6/30 + n**5/15 + n**4/6 + n**2 + 55*n. Factor x(z). -4*z*(z - 1)*(z + 1)**2 Let a be 1347/9 - (-1)/3. Factor 56*r**3 - 13*r**2 - a*r**5 - 96*r**4 + 116*r**4 -
{ "pile_set_name": "DM Mathematics" }
17. Let u(f) = -7*c(f) - 2*m(f). Suppose -3*v - 24 = 2*h, 4*v = 2*h - 6 + 2. Determine u(h). 5 Let x be (-4)/(-12)*(5 + -4 - 4). Let b(t) be the first derivative of t**5/10 - t**4/24 - t**2 - 2. Let s(a) be the second derivative of b(a). What is s(x)? 7 Let o(x) = -2*x**2 - x - 11. Let g(i) be the second derivative of -i**4/12 - i**3/6 - 5*i**2/2 + 3*i. Let h(s) = 5*g(s) - 2*o(s). Determine h(-2). -1 Let v(s) = s**2 - 3*s. Let n be v(3). Suppose -2*b + 6 = -n*b. Suppose b = j + 2. Let f(d) = 2*d**3 - d. What is f(j)? 1 Let r(l) = 60*l - 60*l - l**2 + 2*l**2. Let b(n) = -n**2 - 8*n - 4. Let k be b(-7). Suppose k*g + 6 = -5*i, 2*g + 6 = i + 5*g. What is r(i)? 9 Let t(n) = n**2 - 5*n + 2. Let l(y) = 3*y**2 - 24*y + 7. Let h be l(8). Give t(h). 16 Let x(w) = w**3 + 6*w**2 + 6*w - 1. Let b(k) = -2*k**3 - 17*k**2 + 10*k + 4. Let o be b(-9). Determine x(o). -6 Let j(i) = i**2 + 11*i - 11. Let n(k) = -2*k**2 - 23*k + 21. Let b(g) = -5*j(g) - 2*n(g). Suppose 4*a = -4*y - 40, 0 = -2*a - y - 4*y - 20. Determine b(a). 3 Let q(n) be the second derivative of -n**4/12 - n**3/6 - n**2/2 - n. Let w = 13019 - 13019. Calculate q(w). -1 Let t(s) be the first derivative of -s**4/4 - s**3/3 - s**2 + 87. Determine t(-2). 8 Let y(f) = f**2 - 10*f - 13. Let x(d) = 13*d + 232. Let z be x(-17). Calculate y(z). -2 Let x be 1*(-6 + 3 + -5). Let m(r) = -r + 2. Let f(b) = 3*b - 25. Let o(n) = f(n) + 4*m(n). Give o(x). -9 Let i(z) = 1. Let l(s) = -2 + 5 - 12 - 3 + 3*s. Let b(m) = -12*i(m) - l(m). Give b(2). -6 Suppose 0 = -3*s + 3 - 12. Let t(i) = 3*i**3 - 8*i**2 - 1. Let u(n) = -5*n**3 + 15*n**2 + 2. Let z(g) = -7*t(g) - 4*u(g). Give z(s). -10 Let o = 6 - 5. Let x(v) be the first derivative of -17*v**3/3 + v**2/2 - v - 179. Give x(o). -17 Let b(k) = k - 69 + 141 - 69. Give b(-14). -11 Let r(g) = g**2. Let t(k) = -k**3 - 4*k**2 - k + 4. Let z(c) = 6*r(c) + t(c). Suppose -227*w = -229*w + 6. Give z(w). -8 Let g(s) be the second derivative of -s**5/60 + 5*s**4/24 + 2*s**3/3 - 7*s. Let z(d) be the second derivative of g(d). Calculate z(-4). 13 Let l(s) be the third derivative of -s**6/120 - s**5/15 + s**4/24 + s**3/3 + s**2. Let o(g) = 2*g**2 - 3*g - 4. Let h be o(0). Determine l(h). -2 Let x(q) = q**3 - 5*q**2 - 7*q + 3. Let f be x(6). Let z(g) be the first derivative of 1/2*g**2 - 7 + 0*g. Give z(f). -3 Let o(d) = -d**3 + 8*d**2 + 6. Let h be o(8). Suppose c + 10 = h*c. Let w(m) = -3*m**2 + 2*m**2 + m**3 - m**2 - 1 + 7*m**c. What is w(-5)? -1 Suppose -2*i - 2*y - 10 = 0, 4*i + 14 = 2*i - 4*y. Let o(d) = 4*d - 4. Let b(f) = f. Let u be (-1 + -1)/((-20)/50). Let k(g) = u*b(g) - o(g). Calculate k(i). 1 Let t(o) = -3*o + 9. Let y be t(8). Let a = y + 25. Let c = 12 - a. Let q(m) = -m. What is q(c)? -2 Let f(a) = a**3 + 32*a**2 + 32*a + 34. Let n = 972 + -1003. Determine f(n). 3 Let k(c) = -1179*c + 1 + 1174*c + 31. What is k(7)? -3 Let w(i) be the first derivative of i**3/3 + 2*i**2 - 7*i - 134. What is w(-6)? 5 Let a be 4/14 + 8020/(-140). Let k = a + 52. Let r(d) = -d**3 - 6*d**2 - 6*d. Calculate r(k). 5 Let p(r) = -8*r + 18. Let x = 7 + -4. Calculate p(x). -6 Suppose 0 = 5*w + 4*j + 13, -4*w + 3*j + 20 = 49. Let l = w - -7. Let d(o) be the third derivative of -o**5/30 + o**4/24 + o**3/6 + 1196*o**2. Give d(l). -5 Let b(j) = -j**2 + j + 2. Suppose -3 = -2*h + 3*y - 5, h - 2*y = -2. Let l be 0 + (16/2)/(-2). Let v = l + h. Calculate b(v). -4 Let n(m) = -m**3 - 2*m**2 + 2*m - 2. Let z = 21 - 21. Suppose z = -f + 6*f + 15. Let j be n(f). Let h(o) = 6*o**3 - 2*o**2 + 1. What is h(j)? 5 Let r(n) = 4*n - 1. Let d(b) be the third derivative of -b**4/12 + 11*b**3/6 + 6*b**2. Let w be d(5). Give r(w). 3 Suppose -2*l + 6 = -0*l + 2*g, -27 = -5*l + g. Let p(r) = 2*r**3 - 9*r**2 - 3*r + 3. Let d be p(l). Let m(c) = -3 + d + 9*c + c**2 - c. Determine m(-7). 3 Let t(h) = -h**2 + 5*h + 6. Let w(r) = 3*r**3 + 3*r**2 - 3*r + 1. Let z be w(1). Let b be (-1)/z + 273/52 - -2. Give t(b). -8 Let w(u) = 67*u - 6*u**2 + 69*u + 74*u + 73*u + 1 - 284*u. Determine w(2). -25 Let o(s) = 9*s**3 + 4*s**2 - 3*s - 3. Let f(t) = 13*t**3 + 3*t**2 - 4*t - 8. Let c(j) = 2*f(j) - 3*o(j). Suppose 4*d - 2 = -26. Give c(d). -13 Let a(n) be the first derivative of 11*n**2/2 - 1. Let x = -263 + 264. Determine a(x). 11 Let f(h) = -25*h**2. Let y(z) = -4*z**2. Let g(q) = -6*f(q) + 35*y(q). Suppose -4*r - 5*m = -11, 0 = 5*r - 5*m + 18 + 2. Determine g(r). 10 Let g(n) = 7 + 5*n + 2*n - 2*n - 4*n. Let v = -45 - -40. What is g(v)? 2 Let w(f) = -f**2 - f. Suppose 4*k - k = 0. Let r(c) = c**3 + c. Let a be r(k). Suppose a*l - b = l + 5, -2*l + 3*b + 10 = 0. What is w(l)? 0 Let x(f) = -f**3 + 3*f**2 - 3*f + 6. Suppose -32*m - 15 = -37*m. Determine x(m). -3 Let j(n) = 2*n**3 + 8*n**2. Suppose 5*d + 7*l + 10 = 12*l, -2*d + l = 6. What is j(d)? 0 Let w(q) = -2*q + 8. Suppose 14*m + 3 = 87. What is w(m)? -4 Let b be -2*(6 - (-80)/(-10)). Let x(t) = 3*t**2 - 4*t + 5. Determine x(b). 37 Let k(d) be the first derivative of -d**4/4 - 5*d**3/3 - d**2 - d - 76. Give k(-5). 9 Let m(a) = a**3 - 3*a + 6. Let n be m(2). Let q(y) = y**2 - 9*y + 13. Calculate q(n). 5 Let h(f) = -2*f**3 - 3*f**2 - 16*f + 5. Let n(y) = 3*y**3 + 8*y**2 + 30*y - 11. Let d(r) = 5*h(r) + 3*n(r). Give d(10). -8 Let v(o) = 1 - 6 + 21 + o - 15. Suppose -4*b = -0*b + 3*r + 11, 3*r - 19 = 2*b. Calculate v(b). -4 Let q(d) = -d**2 + 9*d - 10. Let u(i) = 2*i**2 - 18*i + 20. Let p be 12/2*1/(-3). Let j(n) = p*u(n) - 5*q(n). Let f be 16/64 - 54/(-8). Determine j(f). -4 Let w(b) = 19 + b + 5*b**2 - 31 + 13. What is w(-1)? 5 Let d(c) = c**3 - 5*c**2 - 5*c - 5. Suppose 3*a = 7*a - 3*g - 25, -35 = -5*a + 5*g. Suppose a*b + 7 + 1 = 0. Let u be -10*b*3/10. Calculate d(u). 1 Let x(m) = 21*m + 28*m - 29*m + 71 - 27*m. What is x(10)? 1 Let g(r) be the first derivative of -3*r**2/2 + 36*r + 504. Determine g(14). -6 Let l be (13 + -14)/(2*1/(-10)). Suppose -19 = 3*b + l. Let d(c) = c**2 + 9*c + 8. Determine d(b). 0 Let w(s) = -s**2 - 4*s + 3. Suppose -4*d - 5*u - 13 = 3, -3*u - 16 = 4*d. Give w(d). 3 Suppose 5*r - 2 = -4*x + 3, 2*x + 15 = r. Let a be (x - -8)*(-4)/6. Let t(f) = 2*f**2 + 5*f + 6. Let o be t(a). Let g(j) = j**2 - 5*j - 1. Give g(o). -5 Let v(j) = -1 - 5*j**2 + 7 - 3 - 7 + 8*j + 3*j**2. Determine v(5). -14 Suppose 5*q + 16 = c, c + q - 15 = 13. Suppose -r + 4*g - c = 0, g - 4*g = -15. Let p(s) = 7 + s + 0*s + 0*s. Give p(r). 1 Let l(s) = -s**3 + s**2 - s - 8. Suppose 0 = -3*j + b + 64, 0 = 4*j + 3*b - 48 - 33. Let k = -21 + j. Determine l(k). -8 Let p(o) be the third derivative of o**4/8 - o**3 - 48*o**2 - 4. What is p(12)? 30 Let t(n) = -n. Suppose y = 1, 12*j - 17*j - 19 = y. Calculate t(j). 4 Let u(p) be the third derivative of p**5/60 - p**4/6 + p**3/6 + p**2. Let h(y) be the first derivative of y**2 + 39*y + 23. Let x be h(-18). Determine u(x). -2 Let o(q) = 28*q**2 + 28*q**2 - 90*q**2 + 19*q**2 + 21*q**2 + q + 2. Determine o(-2). 24 Let m(u) = -u + 288 + 288 - 568. Suppose -3*r + 20 = -r. Suppose -r = n - 3*n. Give m(n). 3 Let f(q) = -q**3 + q**2 + 4*q. Let g be (-8)/6*12 - 0. Let v = g + 7. Let z = v + 12. What is f(z)? -6 Let m be 3 + (3 - 6)/((-5)/20 - -1). Let y(u) = u + 4. Let r(d) = -d - 9. Let s(b) = 3*r(b) + 7*y(b). Determine s(m). -3 Let p(i) = 3*i**2 + 2*i - 24. Let r(b) = -b**2 - b + 3. Let y(j) = -p(j) - 7*r(j). Determine y(-3). 24 Let a(l) = -4*l**2 - 16*l - 7. Let b(n) = -3*n**2 - 11*n - 4. Let y(o) = 5*a(o) - 7*b(o). Give y(6). 11 Let m(d) = -2*d + 6. Let g(n) = -3*n + 5. Let k(h) = 6*g(h) - 5*m(h). Calculate k(-3). 24 Let w = 1 + 0. Let x be w/(3*4/24). Let p(u) = -4*u**2 + u**2 + 13*u**3 - u + 3*u**x. Calculate p(1). 12 Let m(d) = d**2 + d + 3. Let u be m(-2). Suppose 8*b + 21 = u. Let o(q) = 7*q + 3. Give o(b). -11 Let x = 93 + -95. Let z(v) = 6*v - v + 0 - 2. Calculate z(x). -12 Let m(q) = -q + 26. Let y(n) = n**2 + 35*n + 280. Let w be y(-24). Give m(w). 10 Let a(u) = 10*u**2 + 1. Suppose l = 5 - 2. Suppose 0 = -s + 5, 0 = 3*o - l*s - s + 5. Suppose 5*t - 12 = 4*f - 2*f, -4*t + 13 = -o*f. What is a(f)? 11 Let g(x) = -6*x**2 - 23*x + 2. Let j be g(-4). Let v be -4*((-28)/16 - j). Let h(k) = 0*k - 13*k**2 + 0*k + k. What is h(v)? -14 Let s(n) = n**2 - 2*n**2 + 1390 - 2784 + 1394. Calculate s(1). -1 Let x be (-7)/(9/6 + -2). Let u(y) = -4*y - y*
{ "pile_set_name": "DM Mathematics" }
e number? True Suppose 2*z - 2*r = 3022, -2*r - r - 6046 = -4*z. Is z a composite number? True Is 2 + (-1272)/(-4) + -1 composite? True Let o = 6 - 3. Suppose 0 = p - 6 - 40. Suppose -5*r = -3*j + j - p, 4*r + o*j = 46. Is r composite? True Let v(x) = -x**3 + 5*x**2 + 8*x - 8. Let k be v(6). Suppose 0*f + k = -4*f. Is (1 - -1)/f + 79 a prime number? False Let n = 142 + -203. Let o = 30 - n. Is o prime? False Suppose -j + 5*a + 18711 = 3*j, 0 = 2*j + 4*a - 9362. Is j composite? False Let n(b) = 0*b**3 + 1 + 6*b**3 + b**2 - 2*b - 3*b**2. Let s(f) = 2*f - 4. Let o be s(3). Is n(o) prime? True Let d = -12 + 17. Suppose -d*i - 4*k + 392 = -86, 0 = 4*i - k - 374. Is i composite? True Let n(b) = -b**3 - 4*b**2 + 3*b + 5. Let d be n(-4). Let g = 10 + d. Suppose 0 = 4*x - g*x - 59. Is x a prime number? True Let c = -4 - -84. Let b = c - 40. Suppose 0 = g + 3*g + 16, -4*w - 3*g = -b. Is w a composite number? False Let u = 2498 + -1701. Is u composite? False Let r(p) = -3*p + 5. Let h(x) = -2*x + 6*x - 2 - 3 - 1. Let g(j) = 6*h(j) + 7*r(j). Is g(4) a prime number? True Let l = -3 + 3. Suppose l = 3*w - 3*t + 18, 0*w - 3*t = w - 2. Let v = w - -30. Is v a composite number? True Suppose 1045 = 4*x + 2*i - 113, 3*i + 9 = 0. Is x a prime number? False Let n(i) = -9*i - 7. Let w(q) = 5*q + 4. Let x(s) = -3*n(s) - 5*w(s). Let y(g) = -g + 12. Let k be y(5). Is x(k) composite? True Let w be 2/(-6) + (-7)/(-3). Suppose -3*z = w*g - 45, 5*g + z - 6*z - 100 = 0. Suppose 4*k + g - 65 = 0. Is k a prime number? True Let x(j) = 5 - 6 + j**3 + j + 0*j**3 - 5*j**2 + 12. Is x(8) prime? True Suppose 4*k - 20 = 0, -4*f + 768 = -0*f + 4*k. Suppose w + 24 - f = 0. Is w a composite number? False Let i = 375 + -166. Let b(p) = -p**3 + 2*p + 3. Let q be b(3). Is i/9 - (-4)/q a prime number? True Let g(o) = 22*o**2 - 7*o - 10. Is g(-7) a prime number? True Let b = 1085 - 655. Suppose -m + b = 4*m. Is m a prime number? False Suppose c - 17 = 3*b, 5*c = 2*c + 4*b + 26. Let t be c/(-9) - (-34)/(-9). Is 10*((-10)/t - -1) prime? False Let z(q) be the third derivative of -q**5/60 - 5*q**4/12 - 3*q**3/2 - 4*q**2. Is z(-6) prime? False Suppose -5*p + 17336 = -4*h + 49323, -3*p + 15977 = 2*h. Is h a prime number? True Suppose -5*v + 2142 = -v - g, g - 533 = -v. Is v prime? False Suppose -i - 3*g = -1047, -3*i = 4*g - 1606 - 1525. Is i a prime number? False Let j(r) = 4*r - 6. Let c be j(4). Let z(s) = 1 + 5*s**2 - 2*s**2 + c*s**2. Is z(1) a composite number? True Suppose 0 = 4*q - 4*t - 0*t - 3864, 0 = -5*q - t + 4830. Let v = -519 + q. Is v prime? False Let g be (-36)/(-10) - (-2)/5. Suppose -5*f - 2 = -2*p - 7, -2*f = 2*p - 16. Suppose g = -j, -3*t = -t + f*j - 2. Is t a prime number? True Suppose 3*z = -2*h - 11, 15 = 4*z + z - 5*h. Let l be (z/(-1))/(-1)*-9. Is 2/l - (-4760)/45 prime? False Suppose -10 = -5*l + 4*j + 2, -4*j - 12 = -4*l. Let q(v) = -v**2 - v + 46. Is q(l) a composite number? True Suppose 3 = -p + 2, -3*p - 92 = -c. Is c a prime number? True Suppose -3*p = -6*p + 15. Suppose -s = 3*n - 89, -p*n + s + 137 = -3*s. Suppose 0 = 3*g - n - 64. Is g a prime number? True Let c(p) = p**3 + 3*p**2 - 4*p + 3. Let i be c(3). Suppose -o + i = 2*o. Is o composite? True Let n(r) = r + 3. Let d be n(3). Is d/(-3)*106/(-4) prime? True Suppose g - 117 = -d, -3*g + 232 = -g + 3*d. Is g a composite number? True Suppose 0*f - 3*f = 33. Let h = f + 15. Suppose 0 = -h*j + 2*q + 506, -4*j - q + 128 = -3*j. Is j composite? False Suppose -2*i + 4 = -5*l, -3*i - 2*i = -l - 10. Suppose -5*t - 4 = 21, 5*a - 2*t - 665 = l. Is a a prime number? True Let n(v) = 306*v**2 - 2*v + 1. Is n(-3) composite? True Suppose -3*k + 5210 = 7*k. Is k a composite number? False Let f = -611 - -4554. Is f a composite number? False Let q(k) = -k**2 - k + 685. Is q(0) composite? True Let n be 13 + (0 + -1 - 0). Suppose -3*c + 9 = -0*c + 2*o, -3*o - n = -4*c. Suppose -12 = -3*y, -c*w - 3*y + 40 = -2. Is w a prime number? False Let h = 68 + -140. Let d = 191 + h. Is d prime? False Let z(o) = -73*o + 11. Let x = -21 - -15. Is z(x) prime? True Let m(q) = 38*q**3 + 2*q**2 - 9*q + 11. Let b(j) = -19*j**3 - j**2 + 5*j - 6. Let w(f) = -11*b(f) - 6*m(f). Let p be w(-1). Let o = p - -18. Is o composite? False Let b = 13 + -9. Suppose 0*h - w = b*h - 491, -2*h - w = -245. Is h composite? True Let m(g) = -19*g + 7. Let r be m(-8). Suppose -40 + r = i. Is i composite? True Let v(l) = 3*l**3 - 8*l**2 - 5*l + 9. Is v(6) composite? True Suppose 5*j = 3*c + 2 - 17, -4*j - 3*c = 39. Let l(y) = 4*y**2 - 1 + 4*y**2 + y**3 - 2*y - 2*y**2. Is l(j) prime? True Let w(f) = -f**2 - 6*f - 6. Let q be w(-4). Suppose 2*k + q*z - 396 = 0, 2*k + 5*z - 787 = -2*k. Is k a composite number? True Let c(n) = -n**3 - 6*n**2 + 16*n - 3. Let x(v) = -5*v**3 - 29*v**2 + 81*v - 16. Let h(u) = -11*c(u) + 2*x(u). Let r be h(-10). Let f = r - -108. Is f prime? False Suppose 0 = o + 5*d + 26, -2*d = -4*o - 4*d - 14. Let p be (-15)/(-2)*2*o. Let c = p + 21. Is c composite? True Is (-2107)/(-2) - (-6)/4 a prime number? False Let b(p) be the third derivative of p**6/30 + p**4/12 - p**3/3 + 2*p**2. Is b(2) prime? False Let m = 16 + -13. Suppose -m*k = -p + 16, -2*p - 4*k + 40 = -2*k. Is p composite? False Is ((-2565)/(-3) + -4)/(-1 - -2) a composite number? True Let b(h) = h**2 + 2*h. Suppose 0 = 4*a - 4*v, 0*a = -a - v - 8. Let q be b(a). Is (-170)/(-4)*q/10 composite? True Is (5/(-3))/((-8)/2424) a prime number? False Let t be 0 - (-2 + -3 + 5). Suppose t = -0*v - v + 3. Is v a prime number? True Suppose -1 = -r + 4. Suppose 3*q - 4 = 4*l, -3*q - 3*l = -8*l - r. Suppose q*j = -j + 26. Is j a composite number? True Let u(c) = -c**2 + 4*c + 4. Let h be u(4). Suppose -h*m + 324 + 320 = 0. Is m prime? False Suppose 0 = x - 27 - 23. Let c = x - 31. Is c prime? True Suppose -2*y - 15 = -5*y, -2*n - 2*y = -412. Is n composite? True Let c(i) = 37*i + 1. Suppose 4*q = p - 0*q - 20, 4*p - 36 = 5*q. Is c(p) composite? False Let l(i) = -22*i**2. Let w be l(1). Let c be 2/(-7) + 82/(-7). Let n = c - w. Is n prime? False Let m(s) = -s**3 - 10*s**2 - 9*s + 2. Let z be m(-9). Suppose -z*r + r = 0. Suppose r = -0*h + h - 2*y - 9, 5*h - 45 = -y. Is h a prime number? False Let u = -1984 - -3031. Is u prime? False Suppose 0 = 2*c - 153 + 35. Is c a composite number? False Let p(m) = -m**3 - 5*m**2. Suppose 0 = -3*r - 2*r - 25. Let q be p(r). Suppose q = g - 0*g - v - 11, 0 = -2*v + 8. Is g composite? True Suppose 0 = -4*i + 3*y + 16, 0 = -i - i + 3*y + 8. Suppose i*h - 377 = d + 20, h = -2*d + 88. Is (-1)/(h/(-97) + 1) a prime number? True Let m = -877 + 1394. Is m prime? False Let v(j) = 69*j**3 - j + 4. Let r(c) = 137*c**3 + c**2 - 2*c + 7. Let a(m) = 3*r(m) - 5*v(m). Let g be a(2). Suppose -i = 3*i + 5*b - g, -15 = -5*b. Is i prime? True Let h = 119 + 38. Is h a prime number? True Suppose 5 = 4*l + a, l + 6 = 5*l + 2*a. Suppose 0 = -b - l + 6. Suppose 4*i - 62 = 5*y, -3*y + 20 = b*i - 3*i. Is i a composite number? False Let v(t) = -t**2 - 10*t + 1. Let q be v(-10). Suppose -3*z = z. Is (z - 1)/(q/(-37)) prime? True Let g be (-2)/3 + (-40)/(-6). Is (596/g)/(2/3) a composite number? False Is 1 - -4 - (-1151 - 3) composite? True Let u(i) = -i**3 + i**2 - i. Suppose 3 = -b + 2. Let f(g) = -4*g**3 - 4*g**2 - 4*g + 7. Let a(s) = b*f(s) + 3*u(s). Is a(-6) composite? False Let j(d) = 263*d + 42. Is j(3) composite? True Let r = -13 - -8. Let m = r + 5. Is 17 + 0 + m + 2 prime? True Suppose 1552 = 3*w + 2*k - 449, 4*k - 1326 = -2*w. Is w a composite number? True Suppose 80 = -2*z + 554. Is z prime? False Suppose -3*r + 2*h = -6, -2*h - 20 = -2*r - 6*h. Let b(z) = -8*z + 6 + 2*z - z**3 + r - 8*z**2. Is b(-7) a prime number? True Let x = -2 - -4. Let z be (-2 + 0)/(-2) - -3. Suppose 2*f - 2 = z*v, f + v + 4 = x*f. Is f a prime number? True Let d(b) = -3*b**2 + 3*b - 1. Let a(m) = -1. Let z(v) = 3*a(v) - d(v). Let k be z(3). Is 4/k + (-763)/(-4) composite? False Let v = 6 - 6. Is 3 - 3 - -37 - v a prime number? True Suppose -4*a = -3*l - 11323, -4*a - 4*l = -1416 - 9872. Is a a composite number? True Is (-6377)/(-77) - (-2)/11 composite? False Suppose -5 = 5*a + 20. Let y = -3 - a. Is 3/(-6) + 51/y a prime number? False Let g(r) = -13*r + 3. Let y be (-3 - -7 - 1) + -6. Let c be g(y). Let q
{ "pile_set_name": "DM Mathematics" }
between 7:22 AM and 2:04 PM? 402 What is 371 minutes before 6:55 PM? 12:44 PM What is 578 minutes before 1:41 PM? 4:03 AM How many minutes are there between 3:47 AM and 2:05 PM? 618 How many minutes are there between 11:27 AM and 5:04 PM? 337 How many minutes are there between 1:26 PM and 9:42 PM? 496 What is 243 minutes after 1:42 PM? 5:45 PM How many minutes are there between 5:00 PM and 10:17 PM? 317 How many minutes are there between 2:19 AM and 9:22 AM? 423 What is 149 minutes before 5:14 PM? 2:45 PM How many minutes are there between 7:50 AM and 5:49 PM? 599 How many minutes are there between 1:43 AM and 6:52 AM? 309 What is 49 minutes after 9:35 AM? 10:24 AM How many minutes are there between 7:28 AM and 3:56 PM? 508 What is 328 minutes before 4:49 AM? 11:21 PM How many minutes are there between 10:31 PM and 7:19 AM? 528 What is 388 minutes after 6:26 AM? 12:54 PM How many minutes are there between 9:00 PM and 1:12 AM? 252 What is 502 minutes before 12:52 PM? 4:30 AM What is 576 minutes before 6:55 PM? 9:19 AM What is 71 minutes before 2:28 PM? 1:17 PM What is 406 minutes after 8:39 PM? 3:25 AM How many minutes are there between 2:45 PM and 4:23 PM? 98 What is 462 minutes before 8:37 AM? 12:55 AM How many minutes are there between 3:42 PM and 2:58 AM? 676 What is 463 minutes before 4:58 AM? 9:15 PM How many minutes are there between 3:50 PM and 6:46 PM? 176 How many minutes are there between 12:37 PM and 5:01 PM? 264 What is 657 minutes after 2:56 PM? 1:53 AM What is 546 minutes after 5:02 AM? 2:08 PM How many minutes are there between 6:53 AM and 1:19 PM? 386 What is 444 minutes after 8:05 AM? 3:29 PM What is 127 minutes before 6:06 PM? 3:59 PM How many minutes are there between 11:33 PM and 4:07 AM? 274 What is 530 minutes after 7:13 PM? 4:03 AM What is 481 minutes after 3:18 PM? 11:19 PM What is 421 minutes before 12:11 AM? 5:10 PM How many minutes are there between 9:28 PM and 6:56 AM? 568 How many minutes are there between 3:13 PM and 5:45 PM? 152 What is 586 minutes before 11:31 PM? 1:45 PM How many minutes are there between 11:49 AM and 11:38 PM? 709 What is 374 minutes after 2:02 PM? 8:16 PM How many minutes are there between 2:31 PM and 1:12 AM? 641 How many minutes are there between 9:34 PM and 5:56 AM? 502 What is 526 minutes before 10:57 PM? 2:11 PM What is 669 minutes after 6:18 AM? 5:27 PM What is 466 minutes before 7:26 AM? 11:40 PM How many minutes are there between 8:18 PM and 11:41 PM? 203 What is 88 minutes after 9:28 PM? 10:56 PM How many minutes are there between 2:46 AM and 5:01 AM? 135 What is 663 minutes before 12:05 AM? 1:02 PM What is 646 minutes after 12:20 AM? 11:06 AM What is 69 minutes after 6:08 AM? 7:17 AM How many minutes are there between 2:52 AM and 3:55 AM? 63 How many minutes are there between 3:50 AM and 10:36 AM? 406 What is 19 minutes after 9:03 PM? 9:22 PM What is 251 minutes before 6:04 PM? 1:53 PM What is 159 minutes after 2:58 AM? 5:37 AM How many minutes are there between 1:02 PM and 1:50 PM? 48 How many minutes are there between 8:36 AM and 4:49 PM? 493 What is 419 minutes before 12:43 PM? 5:44 AM How many minutes are there between 12:54 AM and 11:55 AM? 661 What is 670 minutes after 12:43 AM? 11:53 AM What is 547 minutes before 12:26 AM? 3:19 PM How many minutes are there between 11:20 AM and 3:26 PM? 246 What is 289 minutes after 7:50 PM? 12:39 AM How many minutes are there between 1:50 PM and 11:38 PM? 588 How many minutes are there between 9:05 PM and 6:51 AM? 586 How many minutes are there between 11:21 AM and 2:25 PM? 184 How many minutes are there between 7:58 PM and 1:02 AM? 304 How many minutes are there between 5:20 AM and 7:03 AM? 103 How many minutes are there between 4:03 PM and 2:21 AM? 618 How many minutes are there between 1:44 AM and 9:56 AM? 492 What is 424 minutes after 6:08 PM? 1:12 AM How many minutes are there between 10:04 PM and 5:23 AM? 439 What is 355 minutes after 2:05 AM? 8:00 AM How many minutes are there between 4:07 PM and 7:11 PM? 184 How many minutes are there between 6:43 PM and 7:42 PM? 59 How many minutes are there between 8:46 AM and 1:42 PM? 296 How many minutes are there between 3:09 AM and 10:17 AM? 428 How many minutes are there between 5:10 PM and 2:42 AM? 572 What is 139 minutes after 4:10 AM? 6:29 AM How many minutes are there between 3:11 AM and 10:45 AM? 454 What is 418 minutes after 10:57 PM? 5:55 AM How many minutes are there between 12:51 AM and 9:58 AM? 547 How many minutes are there between 11:03 AM and 11:15 AM? 12 How many minutes are there between 11:37 AM and 12:44 PM? 67 How many minutes are there between 9:31 AM and 3:03 PM? 332 What is 611 minutes before 6:16 AM? 8:05 PM What is 691 minutes before 4:50 AM? 5:19 PM What is 244 minutes before 12:47 AM? 8:43 PM What is 663 minutes after 5:25 AM? 4:28 PM What is 62 minutes after 6:54 AM? 7:56 AM How many minutes are there between 11:15 PM and 2:32 AM? 197 What is 687 minutes before 4:50 AM? 5:23 PM How many minutes are there between 9:48 AM and 6:33 PM? 525 How many minutes are there between 4:02 AM and 10:41 AM? 399 What is 517 minutes after 5:33 PM? 2:10 AM What is 405 minutes after 4:19 PM? 11:04 PM What is 588 minutes before 11:27 AM? 1:39 AM What is 320 minutes after 8:52 AM? 2:12 PM What is 532 minutes after 10:24 AM? 7:16 PM What is 616 minutes after 6:31 AM? 4:47 PM What is 186 minutes before 9:36 PM? 6:30 PM How many minutes are there between 2:31 AM and 5:27 AM? 176 What is 429 minutes before 4:21 AM? 9:12 PM What is 195 minutes before 8:05 AM? 4:50 AM What is 277 minutes after 7:10 PM? 11:47 PM How many minutes are there between 3:18 AM and 3:24 AM? 6 What is 128 minutes after 2:25 AM? 4:33 AM How many minutes are there between 10:59 PM and 11:41 PM? 42 What is 578 minutes before 10:53 AM? 1:15 AM What is 572 minutes before 1:27 AM? 3:55 PM What is 708 minutes after 11:11 PM? 10:59 AM What is 274 minutes after 8:58 PM? 1:32 AM What is 373 minutes before 2:52 AM? 8:39 PM What is 416 minutes after 2:12 AM? 9:08 AM How many minutes are there between 6:37 AM and 11:57 AM? 320 What is 410 minutes after 12:28 PM? 7:18 PM How many minutes are there between 9:28 PM and 8:50 AM? 682 What is 491 minutes before 10:47 PM? 2:36 PM What is 589 minutes before 5:28 AM? 7:39 PM What is 388 minutes after 8:29 AM? 2:57 PM What is 27 minutes after 4:11 PM? 4:38 PM How many minutes are there between 3:59 PM and 1:56 AM? 597 How many minutes are there between 3:31 AM and 1:16 PM? 585 How many minutes are there between 10:18 AM and 11:06 AM? 48 What is 371 minutes after 12:39 AM? 6:50 AM What is 49 minutes after 3:22 PM? 4:11 PM How many minutes are there between 5:56 PM and 12:56 AM? 420 How many minutes are there between 5:41 PM and 12:42 AM? 421 What is 573 minutes before 9:31 AM? 11:58 PM How many minutes are there between 12:58 AM and 10:11 AM? 553 What is 298 minutes before 6:07 PM? 1:09 PM How many minutes are there between 2:32 AM and 12:10 PM? 578 What is 394 minutes after 10:27 PM? 5:01 AM What is 103 minutes before 12:11 PM? 10:28 AM How many minutes are there between 3:04 PM and 7:43 PM? 279 How many minutes are there between 12:17 PM and 12:53 PM? 36 How many minutes are there between 11:37 AM and 3:37 PM? 240 What is 446 minutes after 6:37 PM? 2:03 AM How many minutes are there between 3:21 AM and 11:07 AM? 466 What is 102 minutes before 9:41 PM? 7:59 PM What is 421 minutes after 2:07 PM? 9:08 PM How many minutes are there between 9:58 AM and 1:03 PM? 185 How many minutes are there between 1:12 PM and 3:18 PM? 126 What is 517 minutes before 7:38 PM? 11:01 AM How many minutes are there between 12:53 PM and 12:11 AM? 678 What is 424 minutes after 9:19 PM? 4:23 AM How many minutes are there between 8:14 AM and 6:23 PM? 609 What is 672 minutes after 9:09 AM? 8:21 PM What is 69 minutes after 1:33 PM? 2:42 PM How many minutes are there between 2:51 PM and 9:37 PM? 406 How many minutes are there between 11:55 PM and 3:09 AM? 194 How many minutes are there between 1:06 AM and 8:09 AM? 423 What is 556 minutes before 10:25 AM? 1:09 AM What is 91 minutes before 12:31 PM? 11:00 AM What is 549 minutes before 4:16 PM? 7:07 AM How many minutes are there between 8:25 PM and 6:24 AM? 599 How many m
{ "pile_set_name": "DM Mathematics" }
ess -25 + 3 + 158*b + 2 - 158*b + 26*b**2 as a*b**2 + t + s*b and give t. -20 Rearrange 31*z - 55*z + 558 - 552 to x*z + o and give o. 6 Express (4*r - 6*r - 204 + 65)*(4*r**2 - 8*r**2 - 12*r**2) in the form z*r + y*r**2 + a*r**3 + w and give a. 32 Rearrange 1 + 25*u**3 + 1 + 66*u**2 + 64*u**2 - 126*u**2 - 9*u**3 to the form v*u**3 + p*u + r*u**2 + k and give v. 16 Express 1554*x**3 - 136 - 1553*x**3 - 153 - 331 in the form q + f*x**3 + o*x + y*x**2 and give q. -620 Express 13*t + 19 + t**3 + 12*t - 26*t + 18*t**2 - 18 + 3*t in the form y*t**3 + z*t**2 + k*t + h and give k. 2 Express 45359*q**2 + 17*q - 45359*q**2 - 3 - 10*q**3 in the form c*q + n + o*q**3 + w*q**2 and give o. -10 Express -11*t**2 + 66*t - 66*t - 429*t**2 - 341351 + 341351 + t**2 + 0*t**2 + 0*t**2 + (-2 - 1 + 2)*(-t - 2*t**2 + t) as p*t**2 + c + q*t and give p. -437 Express 15 + 10*b**2 + 44 + 2*b - 2*b**2 - 8*b**2 + b**3 in the form l*b + f*b**2 + n + z*b**3 and give n. 59 Express (144 - 51*p - 41*p + 96*p)*(-2 - 10 + 5)*(-2 - 5 + 5) as n*p + v and give n. 56 Rearrange (21 - 21 + 61*y**3)*(597 - 50*y - 597) to the form f*y**3 + o*y + m*y**2 + c + z*y**4 and give z. -3050 Express -451*n**2 - 53*n + 18*n - 1 + 35*n in the form q + u*n**2 + m*n and give u. -451 Rearrange (3 - 2 + 1)*(21*c + 9*c + 545 + 720 - 1148) to x*c + y and give y. 234 Express -3*b**3 - 1066 + 638 - 2*b**2 + b**3 as i*b**2 + r*b + t*b**3 + y and give y. -428 Rearrange (6122 - s - 3710 + 3509)*(-2 - s + 2 + (0*s - s + 3*s)*(-4 + 5 - 4) - 3 + 3 + s) to the form y*s**2 + m + d*s and give d. -35526 Express -2*g - 20 + 65 + 77 in the form a + x*g and give x. -2 Express -9*q - 8444*q**3 + 5*q**4 + 10 + 7 + 8442*q**3 as x*q**2 + u*q + i*q**4 + l + g*q**3 and give g. -2 Rearrange (-1 - 3 + 2)*(3*y**2 + 3*y**2 - 16 + 17)*(188*y**2 - 64*y**2 + 235*y**2) to w*y**3 + h*y + i + u*y**2 + q*y**4 and give u. -718 Rearrange -1766*j**2 + 3515*j**2 - 50*j - 1753*j**2 to z + k*j**2 + i*j and give i. -50 Rearrange 4507*r**2 - 1608*r**2 + 2219*r**2 + 7052*r**2 to u*r**2 + d + p*r and give d. 0 Rearrange (-4356 + y - 17*y + 4413 + 3*y**2)*(-4 - 12*y**2 + 4) to the form h*y**4 + x*y**3 + m*y**2 + r + p*y and give m. -684 Express -b - 4*b**2 + 145067 + 0*b - 5*b**3 - 2*b - 145066 as v + m*b**2 + r*b**3 + x*b and give r. -5 Express -3534*t - 3143*t - 2168*t + 780*t in the form i + r*t and give r. -8065 Express -6689*d**3 - 637*d**3 - 10*d + 41222*d**3 + 25*d - 15*d + (5 - 5 - 2*d**3)*(1 + 2 - 2) in the form j*d**3 + n*d**2 + p + k*d and give j. 33894 Rearrange 14*f + 4*f**2 + 0*f**2 - 30*f - f - 6*f + 7 to x*f**2 + b*f + r and give x. 4 Rearrange 2479*t**2 + 4 - 4 + 722*t**2 to the form i*t + j + h*t**2 and give h. 3201 Rearrange (1840 - 722 + 3663 + 3530 + 1186 + 2704)*(0*x**4 - 4*x**4 - 2*x**4) to the form r*x**2 + c*x**3 + a*x**4 + o + i*x and give a. -73206 Express (-215*i - 2*i - 19*i + (-5 - 4 + 5)*(-3 + 3 - i))*(3*i**2 + 2*i**3 - i + i) in the form g*i + j*i**3 + a*i**4 + l*i**2 + q and give a. -464 Rearrange (-5*m**2 - 70*m**2 + 27*m**2 - 97*m**2 - 14*m)*(-2 + 0 + 0)*(-4*m + 5*m - 2*m) to j*m**3 + w + o*m**2 + b*m and give o. -28 Express 30107*f**2 - 40 + 40 + 0 + 8439*f**2 as b*f**2 + q + m*f and give q. 0 Rearrange 2*l - 31*l**3 - 239 - 6*l**2 + 237 + 6*l**2 to the form s*l**2 + p*l + y*l**3 + q and give p. 2 Rearrange 10763 + 3*n**2 - 15*n**3 + 18*n**3 - 10907 to k*n**3 + f*n**2 + l*n + b and give k. 3 Express (12831 - 1066 + 19655 + 15072 + 4197)*(2 - 5*u - 1 + 3*u) as j*u + k and give k. 50689 Express 162 + 7*r**3 - 52 - 7*r - 56 - 2*r**3 - 55 + 2*r**4 as b + a*r**4 + t*r**2 + q*r**3 + o*r and give a. 2 Rearrange (-18 + 18 - 3*b**2)*(-3*b**2 - 5 + 5) + 0*b**4 + 5*b**4 - 4*b**4 + 14 - 1016*b**4 + 1013*b**4 + 10 to l*b**4 + x*b**2 + a + t*b**3 + v*b and give l. 7 Express (-6*x**2 - 11*x**2 - 2*x**2)*(633*x**2 + 11*x - 50*x - 1 - 634*x**2) in the form q*x**4 + y*x + k*x**2 + r*x**3 + h and give r. 741 Express 23*p - 3*p**2 + 43*p**3 - 68*p**3 + 1 - 23*p as h + z*p**2 + f*p + s*p**3 and give z. -3 Express (2996 - 499 - 1088)*(0 - 1 - 1)*(-i**2 + i**2 + 3*i**3) in the form p*i**2 + f*i**3 + t*i + u and give f. -8454 Rearrange 325*k + 373*k + 2 - 941*k + 302*k to n + d*k and give n. 2 Express 1 + 3*v - 1 + (5*v + 2*v - 4*v)*(1 + 1 + 0) + 0*v + 0*v + v + 9*v - 882 + 882 in the form m + j*v and give j. 19 Rearrange 30*a**3 + 26*a**3 - a**3 + (2*a**2 + 0*a**2 - a**2)*(17 - 17 - 16*a) - 4 - 3*a**3 + a**3 + 2 to the form t*a**3 + l*a**2 + v + s*a and give s. 0 Express (u + 0*u + u)*(4229*u - 4232*u - 2689*u**3 + 536*u**3) + 4*u**2 - 4*u**2 - u**4 as p*u**4 + g*u + y*u**2 + j*u**3 + r and give p. -4307 Express -1511*z + 81 - 174 - 4902*z + 93 as y + o*z and give o. -6413 Express -19*i - 37 + 20*i - 46 + 4*i**3 - 218*i**4 - 5*i**3 + 217*i**4 as x*i**3 + p*i**4 + o + d*i + y*i**2 and give d. 1 Express 7 + 9*y**3 + 35*y**2 - 3*y - 126*y**2 + 41*y**2 + 48*y**2 in the form x*y**2 + i*y**3 + c*y + t and give c. -3 Express -9*o**2 + 18*o**2 - 3206 + 3359 - 15*o**2 in the form p + f*o + m*o**2 and give p. 153 Express -5 + 3*p**4 - 9172*p + 9172*p + (2*p - p - 4*p)*(-5*p**3 - 2*p**3 + 0*p**3) in the form o*p**4 + v*p**3 + d*p**2 + k*p + i and give i. -5 Rearrange (-11*n + 12*n**3 - 30*n**3 - 1 + 16*n**3)*(58 - 30 + 32) to the form y*n**2 + b + m*n**3 + v*n and give b. -60 Rearrange -13385383 - 8*w**4 - 48*w**2 + 2*w**3 + 0*w**3 + 13385379 to c*w**4 + o*w + m*w**3 + a + g*w**2 and give m. 2 Express 4*j**4 - 2*j**4 + 10*j**4 + (0 - 3*j**3 + 0)*(-3*j - 2*j + 3*j) + 153*j**4 - 10496 + 10496 in the form c*j + v*j**3 + f*j**2 + w + a*j**4 and give a. 171 Rearrange 9*k**2 - 9 - 4 + 14 - 4 + 80958*k + 4*k**3 - 80957*k to the form a*k**2 + o*k + l + c*k**3 and give o. 1 Express (-w - 4 + 4)*(-732*w**2 - 286 + 243*w**2 + 252*w**2 + 242*w**2) in the form y + t*w + g*w**3 + c*w**2 and give t. 286 Rearrange (0 - 2 + 7)*(-4 + 4 - 2*m)*(-1723*m - 5516*m - 1709*m) to n*m + q + a*m**2 and give a. 89480 Express 4*r**4 - 1802370 + 1802375 - r + 2*r**3 - r**2 + 0*r**2 in the form v*r**3 + y*r + o*r**2 + b*r**4 + i and give o. -1 Express -17 + r + 77 + r**3 - 11 - 13*r**2 - 51 in the form i*r**2 + t + d*r**3 + z*r and give z. 1 Rearrange -12*k**4 - 53*k**3 + 59*k**3 + 9*k**4 + 5*k**4 - 14*k**2 to the form a*k + n*k**4 + d*k**2 + l + p*k**3 and give p. 6 Express -44 + 182 - 58*l**2 - 90*l - 91 - 47 in the form z*l + h*l**2 + i and give z. -90 Express 902 - 108 - 5810*r**2 + 5809*r**2 in the form z*r**2 + g*r + n and give z. -1 Rearrange -q**2 - 264 + 1218 + 122 to c*q**2 + m + g*q and give g. 0 Rearrange i + 286 - 165*i**2 - 139*i**2 - 156*i**2 + 599*i**2 - 157*i**2 to the form f*i**2 + k + q*i and give q. 1 Rearrange (-a**2 + a**2 - a**3)*(-24 - 20 + 11)*(2 - 1 - 2)*(-1 + 0 + 3)*(4*a - 2 + 2) to the form k + t*a**4 + p*a + w*a**2 + u*a**3 and give u. 0 Express m**4 + 1447*m**3 - 2*m**4 - 1463*m**3 + 3*m**4 - 20*m**2 as h*m**4 + o*m**2 + n*m + d*m**3 + l and give o. -20 Express -9*d**3 - 7*d**3 - 8 + 0*d**3 - 4*d**3 + 3*d**3 + 2*d in the form w + k*d + m*d**3 + i*d**2 and give w. -8 Rearrange 3970 - 3970 + 10095*d to the form z + q*d and give q. 10095 Rearrange -5*v**2 + 55 - 80 + 4*v + 60 + 6 + 3*v**2 to d + z*v**2 + m*v and give z. -2 Express -44 + 346*b**2 + 346*b**2 - 38 + 351*b**2 - 1050*b**2 as m*b**2 + f + a*b and give f. -82 Express 106*l - 1 - 6*l - 460*l - 88*l + 5 in the form a + f*l and give a. 4 Express -2*f**3 - 3*f + 13*f + 3*f + 4*f**4 + 9*f + f**2 - 34*f + 1 as v*f**4 + i*f + y*f**2 + r*f**3 + b and give b. 1 Rearrange 83 - 32 - 32 + 7*f - 24 to t*f + b and give t. 7 Express -1 - 1923*s + 1096*s**2 + 98*s**2 + 977*s + 945*s + s**3 as x*s**3 + t + k*s + r*s**2 and give r. 1194 Express 17 - 68*s**3 - 1075*s + 44 + 72*s**3 + 1082*s as q*s**3 + t + u*s**2 + p*s and give t. 61 Rearrange 0*t**3 - 4*t**4 - 14989*t - 6 + t**3 + 14991*t to the form f*t**2 + o*t**3 + k*t**4 + v*t + w and give v. 2 Rearrange 1 - 2*j + 267*j**2 + 2377*j**2 + 2444*j**2 to w*j + i*j**2 + d and give w. -2 Rearrange 7*m**4 - 50*m + 0 + 151*m - 55*m - 1 - 48*m to the form q*m + s*m**4 + d*m**2 + k + c*m**3 and give s. 7 Rearrange (-m**2 + 2*m - 2*m)*(11835*m - 26031*m + 4607*m + 2586*m - 23229*m - 21657*m) to the form j + n*m**3 + h*m + c*m**2 and give n. 51889 Rearrange (8
{ "pile_set_name": "DM Mathematics" }
Let d(s) = g(s) + 6*z(s). Calculate d(r). -4 Suppose 0 = 3*b - 6*b. Let a(r) = -2*r**3 + 13*r**2 - 3*r - 5. Let t be a(6). Let y(s) = 16*s - 13 - 2*s - t*s. Calculate y(b). -13 Let h(i) = -164*i + 7235. Let a be h(44). Let c(z) = -9*z + 124. Give c(a). -47 Let m(t) = 9*t**2 - t. Let y = -66 + 94. Suppose y = 6*v + 4. Suppose 4*s - n + v = 9*s, -2 = 2*s + 4*n. Calculate m(s). 8 Let o(w) = 37*w**2. Suppose 423 = 5*g + 4*c + 420, 12 = -2*g + 5*c. Calculate o(g). 37 Let s = -43 - -71. Suppose o - s = -3*o. Let r(c) = -1384*c - 1 - c**2 - 5 + 1392*c. What is r(o)? 1 Let v(l) be the third derivative of 11*l**4/24 + 50*l**3 - 2224*l**2. Calculate v(-27). 3 Let g(c) be the first derivative of c**5/120 - c**4/6 + 43*c**3/3 + 536. Let k(b) be the third derivative of g(b). Suppose 7 = p - 2*p. Give k(p). -11 Let d(c) = 3*c**3 - c**2 + 1. Let a(y) = 95*y**3 + 5*y**2 + 2*y - 4. Let u(s) = a(s) + 4*d(s). Determine u(-1). -108 Let s(o) = -4*o + 38. Let x be s(9). Let v(t) = 3*t - 2 - 1 - 11 - 14 - x*t. Calculate v(0). -28 Let n = 356 + -335. Let t be (-7)/n*-12 + -5. Let k(h) = 12*h**2 + 2*h + 1. Give k(t). 11 Let u = -16 - -23. Let k(d) = 3 + 18 + 6 + u*d - 9. Let j be k(-3). Let c(v) = -v**2 - 4*v. What is c(j)? 3 Let n(z) = 18*z - z**2 + 2*z**2 - 6*z**2 + 168879 + z**2 - 168869. Calculate n(5). 0 Let g(u) = -u + 3. Let y be 55/(-33)*(0 + -9). Let w be y/(-10) - 102/(-12). Give g(w). -4 Let s(w) = -107*w + 468. Let v(m) = 20*m - 93. Let a(o) = -2*s(o) - 11*v(o). Give a(15). -3 Let d be (-3 - -5)/((-1)/(-4)). Let a(u) = u**2 + u + 1. Let o(c) = -5*c**2 - 14*c - 8. Let r(i) = 6*a(i) + o(i). What is r(d)? -2 Let m = 83 + -80. Suppose 173 = -m*h + 191. Let a(c) = -c**2 + 6*c + 5. Calculate a(h). 5 Let q(r) = -r**2 - r - 10. Suppose -3*n = 5*i - 459, 0 = 5*n + 21*i - 17*i - 765. Let w = -153 + n. Determine q(w). -10 Let f be (-64)/(-34) - (-8)/68. Let k(s) = -14*s + 5 - 1 - 2*s**f + 20*s. Determine k(5). -16 Let b(a) be the first derivative of -a**3/3 + 7*a**2 - 63*a - 483. What is b(7)? -14 Suppose -2*a = -3*u - 14, 10*a - 24 = 4*u + 6*a. Let p(t) be the second derivative of t**4/6 - t**3/3 - 3*t**2/2 + 7*t. Give p(u). 9 Suppose 0 = 2*z - 2*b - 4, -3*z + 4*b = -5*z + 4. Let a(u) = u**3 - 7*u**z - 17 + 33 - u - 6. Let i be a(7). Let k(t) = t**3 - 3*t**2 - 2*t - 4. Calculate k(i). -10 Suppose 9*n - 16 = n. Let d(p) = 11*p**n - 5 + 10*p**2 + 12*p**2 + p**3 - 7*p - 31*p**2. Determine d(-4). -9 Let y(m) = -4*m. Let z(q) = q - 5. Let n be z(7). Suppose -5*r - 15 = 0, -g - n = -2*g - 2*r. Suppose -12*s + 4*s = g. Give y(s). 4 Let d(i) = i**3 + 10*i**2 + 24*i + 13. Suppose 24 = 11*j + 101. Determine d(j). -8 Suppose -19*j = -23*j - 5*t - 1, 4 = 5*j + t. Let a(u) = 23*u + 6. What is a(j)? 29 Let s(u) = 2*u + 1. Let n be s(2). Suppose -3*v = -n*v. Let y(p) = -p**2 + 4. Let t be y(v). Let z(w) = 2*w. Calculate z(t). 8 Let b(s) = 27*s - 2*s + s - 3 - 29*s. Determine b(-8). 21 Let s(b) = -19*b**3 - 17*b**2 + 22*b + 50. Let k(d) = -7*d**3 - 6*d**2 + 8*d + 17. Let x(a) = 11*k(a) - 4*s(a). Determine x(0). -13 Let u(n) be the second derivative of 1/20*n**5 - 33*n + 5/6*n**3 - 1/2*n**4 - 1 - 6*n**2. Calculate u(6). 18 Let d(s) = -7*s**2. Let m(a) = -16*a**2 - 3*a + 4. Let c(n) = 2*d(n) - m(n). Calculate c(1). 1 Let g be -6 + (-4 + -608)/(-17). Let k(j) = -j**3 + 35*j**2 - 150*j - 8. Determine k(g). -8 Let m(a) be the second derivative of -27*a**5/20 + a**4/12 + 7*a**3/6 + 5*a**2/2 - 2644*a. Calculate m(-1). 26 Let k(z) = 12*z**2 - 8*z + 54. Let b(x) = 8*x**2 - 7*x + 38. Let w(v) = -26*b(v) + 18*k(v). Give w(-5). -6 Let t(d) = -22*d**2 + 64*d + 4. Suppose 349*h - 1365 = -329*h + 223*h. What is t(h)? -2 Let g(r) = -2*r**2 + 7*r - 2. Let l(a) = -a**2 + a. Let z(p) = -g(p) + 4*l(p). Let y be (-3)/(-12) - (-2 + 258/8). Let h = y + 27. Give z(h). -7 Let v(h) = -2*h**2 - 183*h - 1003. Let g be v(-6). Let n(a) = -a**3 + 23*a**2 + a - 39. What is n(g)? -16 Let v(q) = -24*q + 42. Let u(k) = -11*k + 19. Let d(y) = 9*u(y) - 4*v(y). Calculate d(-3). 12 Let f(z) = 0*z**2 - 2*z**2 + 5 - 3 + 1 + 4 - 9*z. Let w(o) = 6*o**2 + 25*o - 19. Let n(b) = -11*f(b) - 4*w(b). Give n(-1). -2 Let l(k) = k**2 - k + 5. Let s(p) = p**2 + 21*p + 39. Let v(z) = 2*l(z) - s(z). Calculate v(26). 49 Let q(i) = 2*i**2 - 7*i - 42*i - i**3 + 19*i + 21*i + 6*i**2 - 4. Determine q(8). -76 Let j(k) = 2*k**3 - 2*k**2 - 9*k - 7. Let h(p) = 552*p - 2761. Let g be h(5). Calculate j(g). -2 Let b(s) = -3*s + 2. Let g be ((-86)/(-215))/(1/5). Suppose 3*x + 3 = -4*u, 7 = g*x - 2*u + 23. Calculate b(x). 17 Let i(t) be the third derivative of -1/3*t**3 + 4*t - 1/120*t**6 - 11/24*t**4 + 3*t**2 + 0 + 1/5*t**5. Determine i(11). -2 Let o(t) be the first derivative of 5*t**4/24 - 2*t**3/3 + 6*t**2 - 36. Let w(u) be the second derivative of o(u). What is w(3)? 11 Let x(a) = -4*a - 7. Let o(u) = -23*u - 43. Let k(p) = 6*o(p) - 34*x(p). Suppose 16*h - 56*h = 25*h + 975. What is k(h)? 10 Let h = 145 - 143. Let y(d) = 5*d + 315*d**h - 316*d**2 - 6*d + 4 + 8*d. What is y(6)? 10 Let p(b) be the second derivative of b**5/20 - 5*b**4/3 + b**3/2 - 47*b**2/2 + 3507*b. Determine p(20). 13 Let u = 17 - 9. Suppose 13*t + 13 = 78. Suppose -z + 2*o = -o, t*o - u = -z. Let y(i) = -3*i**2 + 4*i - 1. What is y(z)? -16 Let d be (-85)/51*7/((-70)/12). Let t(z) = d - 5*z**2 - z + 219*z**3 + 215*z**3 - 436*z**3. Determine t(-3). 14 Let d(f) = 11*f - 20*f**2 + 13*f**2 - 9 - 11 + 6*f**2. Calculate d(8). 4 Let j(o) = o**2 - 7*o + 8. Suppose -3*x + 2 = -2*d, -18 = -10*x + 7*x. Determine j(d). 16 Let a(h) = -7 - 7*h + 1 + 2 + h**2. Let p = 1176 - 1112. Suppose 15*r - p = 26. Calculate a(r). -10 Let j(t) = -1829*t. Let n(f) = -439*f. Let v(u) = -6*j(u) + 25*n(u). Let m = -11 - -5. Calculate v(m). 6 Let f(j) = j**3 - 6*j**2 + j - 5. Let b = -67 - -59. Suppose 0 = 2*p + 8 - 4. Let c = p - b. Determine f(c). 1 Let a(i) = -5*i + 24. Let j(f) = 63*f - 318. Let d(b) = 27*a(b) + 2*j(b). Calculate d(-4). 48 Let y(u) = u**3 - u**2 - 7*u + 8. Suppose f = -5*d - 27, 4*d + 30 = 1008*f - 1006*f. Give y(f). 5 Let q(m) be the second derivative of -41*m + 1/24*m**4 + 0*m**2 - 1/60*m**5 + 0 - 1/6*m**3. Let v(g) be the second derivative of q(g). Give v(6). -11 Let u(z) = -z**3 - z**2 - 4*z + 5. Let a(x) = -x**3 - x + 1. Let d(y) = -4*a(y) + u(y). Let n be d(-1). Let b(f) = -3*f + 2. What is b(n)? 11 Let d(f) = f**3 - 9*f**2 + 7*f - 19. Let v = 836 - 828. What is d(v)? -27 Let n(d) = 4*d**2 - 7*d + 10. Let z(m) = m**2 - 3*m + 2. Let b(w) = -n(w) + 3*z(w). Let g(j) = -j - 1. Let k be g(-1). What is b(k)? -4 Let h(a) be the second derivative of -a**4/12 - 7*a**3/6 + 2*a**2 - 22*a. Let l(u) = -10*u - 74. Let w be l(-7). What is h(w)? 16 Let b(d) be the first derivative of 9*d**2/2 + 6*d - 22. Suppose 0 = -5*w + 10*l - 5*l, -w + 4*l + 9 = 0. What is b(w)? -21 Let l be -25*8*6/(-20). Let f be 6/l + 61/(-10). Let z(a) = -4*a**2 + 2*a - 3. Let m(i) = 5*i**2 - 2*i + 3. Let t(s) = -5*m(s) - 6*z(s). Give t(f). -21 Let u be 329/21 + 6 - (-2)/(-3). Suppose -12*c - u = -15*c. Let f(t) = t**3 - 8*t**2 + 6*t - 3. Determine f(c). -10 Let d = -2193 - -2202. Let n(z) = -7*z + 22. Give n(d). -41 Let c(n) = 3*n - 22*n + 7*n + 5*n + 3*n**2 - n**3 + 6*n + 1. Calculate c(3). -2 Let z be (-460)/(-46) + 16/(-2). Let n(f) = -3*f**3 + 5*f**2 - f + 2. Determine n(z). -4 Let s(p) = 2*p + 26. Let f be s(-12). Let c(n) = -56*n**3 + 2 + 55*n**3 + 9*n - 3*n**f - 7*n. Calculate c(-3). -4 Let i be (-1830)/42 + (24/14)/3. Let v = -38 - i. Let j(h) = -h**3 + 4*h**3 - 2*h + 2*h**2 - 5*h**2 - v*h**3. Determine j(-2). 8 Let w(m) = m - 2. Suppose -3*s + 25 = 3*k - 41, 0 = 3*k + 4*s - 63. Suppose -k*a + 44 = -14*a. Calculate w(a). 2 Suppose z = -4*u + 5, 3*u - 3*z - 21 = 2*z. Let p(g) = 1 + 3*g**2 - 2 + g**3 - 4*g**2 - 3*g**u. Suppose -7 = -2*n + 1. Give p(n). -1 Let m(h) = h**2 + 11*h + 8. Let g be 3 + ((-16)/28 - 3/7). Suppose -g*v + 2 = 2*t, -3*t - 5*v + 8 = -1. Let o be t - (1 - (-1 - (-2)/(-1))). Give m(o). -22 Let l(m) = 2*m - 1. Suppose -3*o = 3 - 15. Let t be o + (2/14 - (-1072)/(-56)). Let g be 4/10 + (-54)/t + -5. Calculate l(g). -3 Let j be (4/3)/(256/(-12) - -21). Let n(x) = -49*x - 190. What is n(j)? 6 Let z(a) = -a**2 + 5*a - 1. Let r(j) be the second derivative of 5*j**3/3 - 37*j**2 + 9*j. Let b be r(8).
{ "pile_set_name": "DM Mathematics" }
ext: -12154, -24296, -36438, -48580, -60722? -72864 What comes next: 238, 1102, 2544, 4564, 7162? 10338 What is next in -1211, -9738, -32917, -78074, -152535? -263626 What comes next: -3191, -6194, -9197? -12200 What is the next term in 109, 423, 959, 1729, 2745, 4019, 5563? 7389 What is the next term in 11316, 11272, 11228, 11184, 11140? 11096 What is the next term in -62, -267, -610, -1091, -1710? -2467 What is the next term in -655, -678, -727, -814, -951, -1150? -1423 What comes next: 21780, 21797, 21836, 21909, 22028, 22205? 22452 What is next in -930, -942, -978, -1050, -1170, -1350, -1602? -1938 What is next in -1233, -1681, -2141, -2619, -3121? -3653 What is next in 6866, 13783, 20716, 27671, 34654? 41671 What is next in 1833, 6967, 15521, 27495, 42889, 61703, 83937? 109591 What is next in 7197, 14394, 21587, 28776, 35961? 43142 What comes next: -37439, -149769, -336987, -599093, -936087? -1347969 What is next in 1776242, 1776239, 1776236, 1776233? 1776230 What comes next: -98336, -196673, -295010? -393347 What is the next term in -1569, -6278, -14119, -25086, -39173, -56374, -76683, -100094? -126601 What is the next term in -644233, -1288486, -1932753, -2577040, -3221353, -3865698, -4510081? -5154508 What is the next term in -13358, -53435, -120230, -213743? -333974 What comes next: -23, -74, -173, -332, -563, -878, -1289? -1808 What is next in -8611, -8605, -8599, -8593? -8587 What comes next: -231, -367, -505, -639, -763, -871, -957? -1015 What is next in -303, -344, -379, -402, -407, -388, -339, -254? -127 What is the next term in 259, -57, -573, -1289, -2205, -3321? -4637 What comes next: -1558, -3112, -4668, -6226, -7786? -9348 What comes next: 47501, 47506, 47499, 47474, 47425, 47346, 47231? 47074 What comes next: -17686, -35375, -53064? -70753 What comes next: -13341, -26693, -40045, -53397, -66749? -80101 What is the next term in 378, 931, 1486, 2043? 2602 What comes next: -7183171, -7183170, -7183169? -7183168 What is next in -1068, -8613, -29100, -69003, -134796? -232953 What comes next: 127, 112, 89, 58, 19, -28, -83? -146 What is the next term in -10, -460, -1050, -1774, -2626, -3600, -4690? -5890 What is the next term in -233, -963, -2175, -3863, -6021? -8643 What comes next: 881078, 881083, 881100, 881135, 881194? 881283 What comes next: 13153, 26311, 39475, 52645, 65821, 79003, 92191? 105385 What comes next: -517034, -517033, -517034, -517037? -517042 What comes next: 501, 405, 311, 219, 129, 41, -45? -129 What is the next term in -30, 34, 106, 186, 274? 370 What comes next: -81, -195, -337, -507, -705, -931? -1185 What comes next: -167, -125, -43, 91, 289? 563 What is the next term in -131, -179, -249, -353, -503, -711, -989? -1349 What is next in -1793, -3623, -5467, -7331, -9221, -11143, -13103, -15107? -17161 What is the next term in -10328, -10331, -10334? -10337 What is the next term in -194506, -389012, -583516, -778018, -972518, -1167016, -1361512? -1556006 What is next in -6865191, -6865193, -6865197, -6865203, -6865211, -6865221, -6865233? -6865247 What is the next term in 139, 276, 409, 538, 663, 784? 901 What comes next: 145, 473, 1005, 1729, 2633? 3705 What is the next term in -2610, -20970, -70806, -167856, -327858? -566550 What is the next term in -202760, -202762, -202766, -202772, -202780, -202790, -202802? -202816 What comes next: -858, -915, -1010, -1143, -1314? -1523 What is next in 8606, 8604, 8610, 8630, 8670, 8736, 8834, 8970? 9150 What is next in -626, -2524, -5730, -10280, -16210? -23556 What is next in -867, -1805, -2807, -3873, -5003? -6197 What is the next term in -811, -837, -917, -1081, -1359, -1781, -2377? -3177 What is next in -1659, -3191, -4723, -6255, -7787, -9319? -10851 What comes next: 118, 126, 146, 178, 222? 278 What is the next term in -440, -2177, -6696, -15389, -29648, -50865, -80432? -119741 What comes next: -68701, -68699, -68697, -68695, -68693? -68691 What is next in 19, 219, 421, 625, 831, 1039, 1249? 1461 What is the next term in -274, -425, -658, -973? -1370 What is next in 71781, 71766, 71737, 71688, 71613, 71506, 71361? 71172 What comes next: -1556, -1739, -1932, -2141, -2372, -2631, -2924, -3257? -3636 What is the next term in 165925, 331847, 497769? 663691 What is the next term in -441127, -441126, -441125, -441124, -441123, -441122? -441121 What is the next term in -37651, -75309, -112967, -150625? -188283 What is the next term in 321, 529, 621, 597, 457, 201? -171 What is next in -249, -790, -1667, -2886, -4453, -6374, -8655? -11302 What comes next: 125, 190, 195, 140? 25 What is the next term in -5551, -22228, -50021, -88930? -138955 What is next in -390, -1581, -3564, -6333, -9882? -14205 What is next in 154043, 154054, 154079, 154124, 154195, 154298? 154439 What is next in 276, 621, 966, 1311, 1656, 2001? 2346 What is next in -4200, -4233, -4266, -4299? -4332 What is the next term in 2016, 3560, 6134, 9738? 14372 What is next in 603, 1206, 1809? 2412 What is next in -466, -730, -1464, -2902, -5278, -8826, -13780? -20374 What is the next term in 320590, 641177, 961764, 1282351? 1602938 What is the next term in -180772, -180773, -180774, -180775? -180776 What is next in -267, -487, -665, -801, -895, -947, -957? -925 What comes next: -678, -1390, -2132, -2904, -3706, -4538? -5400 What is the next term in 5, 103, 349, 809, 1549? 2635 What comes next: -121, -265, -511, -865, -1333? -1921 What comes next: 1536, 1723, 1900, 2061, 2200, 2311, 2388, 2425? 2416 What is next in -8959, -8894, -8785, -8632, -8435, -8194, -7909? -7580 What is next in -1966, -1978, -1982, -1966, -1918, -1826? -1678 What is the next term in -1061, -2235, -3409, -4583? -5757 What is the next term in -346719, -346732, -346753, -346782, -346819, -346864? -346917 What is next in 2537, 5073, 7605, 10133, 12657, 15177, 17693? 20205 What comes next: -125691, -125694, -125697, -125700, -125703, -125706? -125709 What comes next: 3214, 6521, 9828, 13135, 16442? 19749 What is the next term in -45404, -90802, -136198, -181592? -226984 What is next in 370, 406, 448, 496, 550, 610, 676? 748 What comes next: 45, 74, 81, 66, 29, -30, -111? -214 What comes next: 476, 384, 288, 188, 84? -24 What comes next: 6271754, 6271755, 6271756, 6271757? 6271758 What comes next: 14162, 14158, 14154, 14150? 14146 What is the next term in 20378, 20217, 20058, 19901? 19746 What is next in 260697, 521393, 782089? 1042785 What comes next: -6877, -6879, -6881, -6883? -6885 What is next in -219, -621, -1027, -1437, -1851, -2269? -2691 What is next in -30308, -30306, -30304? -30302 What comes next: -415, -257, 1, 353, 793, 1315, 1913? 2581 What comes next: -972, -1072, -1184, -1308? -1444 What is the next term in -42882, -42885, -42888? -42891 What comes next: -1529, -2389, -3241, -4085? -4921 What is next in 1, 77, 233, 493, 881, 1421? 2137 What is next in 148970, 595870, 1340694, 2383436, 3724090? 5362650 What is next in 1758, 3124, 4490, 5856, 7222? 8588 What is the next term in 6173243, 6173243, 6173241, 6173237? 6173231 What is the next term in -23029, -23034, -23039, -23044, -23049, -23054? -23059 What is the next term in 3039, 6060, 9093, 12144, 15219, 18324? 21465 What comes next: 1316, 1316, 1314, 1310, 1304, 1296, 1286? 1274 What is next in -144, -91, 78, 417, 980, 1821, 2994, 4553? 6552 What comes next: -69, -254, -467, -708, -977, -1274? -1599 What is the next term in 157, 551, 1207, 2125? 3305 What is next in 85, 537, 1767, 4165, 8121, 14025, 22267? 33237 What comes next: -426, -3744, -12766, -30348, -59346, -102616, -163014, -243396? -346618 What is next in 5, -328, -1305, -3250, -6487, -11340, -18133, -27190? -38835 What comes next: -56828, -113669, -170522, -227393, -284288, -341213, -398174? -455177 What comes next: -73070, -73068, -73056, -73028, -72978, -72900? -72788 What comes next: -314679, -314690, -314701, -314712, -314723, -314734? -314745 What is the next term in 330, 1245, 2736, 4797, 7422? 10605 What is the next term in -161275, -322549, -483823? -645097 What is next in -1362, -5449, -12262, -21801? -34066 What comes next: -75047, -75046, -75043, -75038, -75031, -75022? -75011 What comes next: 48051, 96118, 144183, 192246, 240307, 288366, 336423? 384478 What is the next term in 63, 157, 299, 489, 72
{ "pile_set_name": "DM Mathematics" }
rs of 1369557901? 137, 373, 26801 List the prime factors of 74502154. 2, 19, 109, 17987 What are the prime factors of 168332644? 2, 5557, 7573 What are the prime factors of 3774742? 2, 947, 1993 List the prime factors of 1935075955. 5, 31, 3163, 3947 List the prime factors of 32697798. 2, 3, 7, 111217 List the prime factors of 97458486. 2, 3, 19, 854899 List the prime factors of 755921195. 5, 151184239 List the prime factors of 66208979. 66208979 List the prime factors of 271367020. 2, 5, 2063, 6577 List the prime factors of 561579574. 2, 11437, 24551 What are the prime factors of 27734131? 1459, 19009 What are the prime factors of 99093026? 2, 49546513 What are the prime factors of 3076082051? 7, 17, 167, 154787 List the prime factors of 2912081393. 13, 224006261 What are the prime factors of 1801941822? 2, 3, 33369293 What are the prime factors of 1164988928? 2, 29, 31, 2531 What are the prime factors of 32837515? 5, 41, 160183 What are the prime factors of 99365108? 2, 24841277 What are the prime factors of 2277089783? 16069, 141707 What are the prime factors of 388782210? 2, 3, 5, 12959407 List the prime factors of 465577716. 2, 3, 29, 31, 103, 419 What are the prime factors of 9295220052? 2, 3, 19, 715237 What are the prime factors of 20698191? 3, 223, 10313 List the prime factors of 488754005. 5, 19, 1327, 3877 What are the prime factors of 524297903? 23, 22795561 List the prime factors of 92333971. 92333971 List the prime factors of 733526860. 2, 5, 11, 103, 32371 List the prime factors of 395291799. 3, 7, 59, 35449 What are the prime factors of 29124483? 3, 1721, 5641 List the prime factors of 51363763. 11, 257, 18169 List the prime factors of 148410404. 2, 37, 1002773 List the prime factors of 3234016. 2, 101063 What are the prime factors of 6356588781? 3, 31, 83, 823499 List the prime factors of 1631408286. 2, 3, 19, 41, 349039 List the prime factors of 1945049257. 23, 2141, 39499 What are the prime factors of 17178121? 29, 167, 3547 List the prime factors of 1296206242. 2, 17, 313, 349 What are the prime factors of 19261500? 2, 3, 5, 12841 List the prime factors of 180259710. 2, 3, 5, 89, 181, 373 What are the prime factors of 114889323? 3, 38296441 What are the prime factors of 354234705? 3, 5, 11, 461, 4657 What are the prime factors of 4629879? 3, 29, 73 What are the prime factors of 3703577? 151, 24527 List the prime factors of 357426477. 3, 173, 229561 List the prime factors of 207931769. 29, 347, 20663 List the prime factors of 1161905805. 3, 5, 25820129 List the prime factors of 282084673. 13, 23, 67, 14081 What are the prime factors of 5174642165? 5, 7, 11, 643, 20903 What are the prime factors of 2694723? 3, 898241 List the prime factors of 162601083. 3, 2851, 6337 What are the prime factors of 270903885? 3, 5, 7, 31, 83227 List the prime factors of 1344946563. 3, 31, 149, 32353 List the prime factors of 46125724. 2, 11531431 List the prime factors of 1318034103. 3, 4057, 108293 List the prime factors of 105567059. 13, 17, 19, 31, 811 What are the prime factors of 1789579891? 11, 43, 3783467 What are the prime factors of 1580840972? 2, 395210243 List the prime factors of 700757611. 691, 1014121 List the prime factors of 67781400. 2, 3, 5, 173, 653 What are the prime factors of 58210714? 2, 29, 61, 16453 What are the prime factors of 52407948? 2, 3, 4367329 List the prime factors of 523850715. 3, 5, 1777, 6551 List the prime factors of 4906967197. 11, 379, 727, 1619 List the prime factors of 18318840. 2, 3, 5, 152657 List the prime factors of 4380746101. 139, 31516159 List the prime factors of 282500535. 3, 5, 101, 186469 List the prime factors of 37932080. 2, 5, 474151 What are the prime factors of 362808580? 2, 5, 71, 255499 List the prime factors of 126390466. 2, 63195233 List the prime factors of 196110455. 5, 103, 380797 What are the prime factors of 371003694? 2, 3, 61833949 What are the prime factors of 98870219? 7, 2803, 5039 List the prime factors of 6444566523. 3, 238687649 List the prime factors of 128239443. 3, 1583203 List the prime factors of 112591275. 3, 5, 1501217 What are the prime factors of 16284506? 2, 7, 23, 103, 491 What are the prime factors of 73533909? 3, 3583, 6841 List the prime factors of 62764072. 2, 7, 1120787 What are the prime factors of 950919344? 2, 17, 227, 15401 What are the prime factors of 224141356? 2, 401, 139739 List the prime factors of 469808113. 469808113 What are the prime factors of 79194596? 2, 13, 1522973 What are the prime factors of 1495217538? 2, 3, 83067641 What are the prime factors of 2271948601? 13, 10159, 17203 What are the prime factors of 88189220? 2, 5, 7, 89989 List the prime factors of 76232955. 3, 5, 229, 22193 What are the prime factors of 191596334? 2, 691, 138637 List the prime factors of 814851609. 3, 11, 13, 1899421 List the prime factors of 1671781606. 2, 11, 43, 1767211 List the prime factors of 102569023. 107, 137, 6997 List the prime factors of 1805709856. 2, 271, 208223 List the prime factors of 928242424. 2, 31, 53, 70621 List the prime factors of 898011969. 3, 299337323 List the prime factors of 2214550. 2, 5, 13, 3407 What are the prime factors of 742910714? 2, 7, 13, 233, 17519 List the prime factors of 433885866. 2, 3, 17, 73, 58271 What are the prime factors of 86990277? 3, 11, 823, 3203 List the prime factors of 370557146. 2, 37, 5007529 List the prime factors of 139017570. 2, 3, 5, 59, 78541 What are the prime factors of 36950496? 2, 3, 11, 3181 List the prime factors of 262674228. 2, 3, 29, 754811 What are the prime factors of 3989938627? 2011, 1984057 List the prime factors of 11125746. 2, 3, 47, 13151 List the prime factors of 47343504. 2, 3, 13, 17, 4463 List the prime factors of 157325499. 3, 907, 19273 What are the prime factors of 502278301? 7, 23, 719, 4339 List the prime factors of 290587757. 647, 449131 What are the prime factors of 269463772? 2, 3631, 18553 What are the prime factors of 94363866? 2, 3, 313, 1861 List the prime factors of 2133787822. 2, 11887, 89753 What are the prime factors of 686958693? 3, 89, 673, 3823 List the prime factors of 47659530. 2, 3, 5, 953, 1667 What are the prime factors of 383668204? 2, 95917051 What are the prime factors of 3002142896? 2, 23, 263, 31019 List the prime factors of 120858099. 3, 40286033 List the prime factors of 149878763. 367, 408389 What are the prime factors of 55828262? 2, 7, 3987733 List the prime factors of 29369585. 5, 7, 839131 List the prime factors of 236054791. 7, 4091, 8243 List the prime factors of 381583310. 2, 5, 41, 167, 5573 List the prime factors of 3693254465. 5, 317, 1487, 1567 What are the prime factors of 55894780? 2, 5, 2794739 List the prime factors of 6758948. 2, 7, 241391 List the prime factors of 226227424. 2, 7069607 List the prime factors of 5484356503. 5484356503 List the prime factors of 33801505. 5, 2531, 2671 List the prime factors of 278755244. 2, 69688811 What are the prime factors of 804626235? 3, 5, 7, 17, 31, 37, 131 List the prime factors of 140458516. 2, 11, 23, 138793 List the prime factors of 224207283. 3, 31, 2410831 What are the prime factors of 8296852422? 2, 3, 23, 7451, 8069 List the prime factors of 581008631. 7, 53, 409, 547 List the prime factors of 33375109. 33375109 List the prime factors of 2772267264. 2, 3, 13, 92557 What are the prime factors of 1718842871? 31771, 54101 What are the prime factors of 695925740? 2, 5, 139, 167, 1499 List the prime factors of 69160565. 5, 73, 89, 2129 List the prime factors of 807047956. 2, 11, 13, 1410923 What are the prime factors of 22858761? 3, 17, 523, 857 List the prime factors of 989170000. 2, 5, 7, 13, 1087 List the prime factors of 644876212. 2, 181, 599, 1487 What are the prime factors of 3148971318? 2, 3, 174942851 List the prime factors of 3587301042. 2, 3, 13, 19, 127399 List the prime factors of 67256309. 4133, 16273 What are the prime factors of 73369781? 73369781 What are the prime factors of 25653505? 5, 5130701 What are the prime factors of 725835026? 2, 7, 17, 29, 103, 1021 What are the prime factors of 297505069? 23, 12935003 List the prime factors of 1504910376. 2, 3, 31, 127, 5309 What are the prime factors of 354279754? 2, 177139877 List the prime factors of 29299794. 2, 3,
{ "pile_set_name": "DM Mathematics" }
122869, 195125, 291255? 568*i**3 + 9*i**2 + 3*i - 161 What is the a'th term of 34068516, 68137031, 102205546? 34068515*a + 1 What is the m'th term of -10782, -18163, -30466, -47691, -69838? -2461*m**2 + 2*m - 8323 What is the t'th term of 439, 403, 345, 253, 115, -81, -347, -695? -2*t**3 + t**2 - 25*t + 465 What is the h'th term of 3374, -2727, -8830, -14935, -21042, -27151, -33262? -h**2 - 6098*h + 9473 What is the t'th term of 247727502, 247727501, 247727500, 247727499? -t + 247727503 What is the i'th term of 277, -245, -1693, -4529, -9215? -77*i**3 - i**2 + 20*i + 335 What is the l'th term of -7638, -365, 6908, 14181? 7273*l - 14911 What is the s'th term of 65834, 131664, 197502, 263348, 329202, 395064, 460934? 4*s**2 + 65818*s + 12 What is the t'th term of 5027, 20017, 44967, 79877, 124747, 179577, 244367? 4980*t**2 + 50*t - 3 What is the j'th term of -96701, -96836, -97061, -97376, -97781, -98276, -98861? -45*j**2 - 96656 What is the a'th term of 2458686, 4917417, 7376148, 9834879? 2458731*a - 45 What is the q'th term of 2826, 11261, 25304, 44955? 2804*q**2 + 23*q - 1 What is the g'th term of -9580609, -9580512, -9580415, -9580318, -9580221, -9580124? 97*g - 9580706 What is the a'th term of 272338, 272332, 272330, 272332? 2*a**2 - 12*a + 272348 What is the g'th term of 402045947, 804091894, 1206137841? 402045947*g What is the p'th term of 43351, 86062, 128773? 42711*p + 640 What is the t'th term of -39075, -78139, -117201, -156261, -195319, -234375? t**2 - 39067*t - 9 What is the g'th term of -2253, -8926, -20013, -35490, -55333? 4*g**3 - 2231*g**2 - 8*g - 18 What is the w'th term of -107295, -107330, -107365, -107400, -107435, -107470? -35*w - 107260 What is the i'th term of -6640102, -13280205, -19920308? -6640103*i + 1 What is the m'th term of 67968, 136027, 204258, 272745, 341572? 14*m**3 + 2*m**2 + 67955*m - 3 What is the r'th term of -16871, -33794, -50775, -67814, -84911, -102066, -119279? -29*r**2 - 16836*r - 6 What is the a'th term of 701, 1247, 2727, 5609, 10361, 17451, 27347, 40517? 78*a**3 - a**2 + 3*a + 621 What is the m'th term of -2841704, -2841702, -2841700, -2841698, -2841696, -2841694? 2*m - 2841706 What is the o'th term of -34362, -137144, -308446, -548268, -856610? -34260*o**2 - 2*o - 100 What is the v'th term of 3473, 14034, 31659, 56342, 88077, 126858, 172679, 225534? -v**3 + 3538*v**2 - 46*v - 18 What is the w'th term of -9612, -19069, -28216, -36897, -44956? 26*w**3 - w**2 - 9636*w - 1 What is the j'th term of 1089416, 1089458, 1089498, 1089536, 1089572? -j**2 + 45*j + 1089372 What is the w'th term of -9324504, -18649001, -27973498, -37297995? -9324497*w - 7 What is the n'th term of 407, 407, 403, 395? -2*n**2 + 6*n + 403 What is the o'th term of 5045332, 5045331, 5045330? -o + 5045333 What is the n'th term of 133546, 267066, 400564, 534040, 667494, 800926, 934336? -11*n**2 + 133553*n + 4 What is the i'th term of 92803, 185657, 278585, 371593, 464687, 557873? i**3 + 31*i**2 + 92754*i + 17 What is the x'th term of 18503953, 18503952, 18503953, 18503956? x**2 - 4*x + 18503956 What is the l'th term of 325656, 325674, 325692? 18*l + 325638 What is the z'th term of 76169, 76916, 77663, 78410, 79157? 747*z + 75422 What is the y'th term of -1987748, -3975486, -5963224, -7950962, -9938700, -11926438? -1987738*y - 10 What is the i'th term of 130995, 130948, 130869, 130758, 130615? -16*i**2 + i + 131010 What is the s'th term of 16173118, 32346240, 48519362, 64692484, 80865606, 97038728? 16173122*s - 4 What is the m'th term of -62946, -125970, -188992, -252012, -315030? m**2 - 63027*m + 80 What is the c'th term of -6919, -27708, -62367, -110908, -173343? -2*c**3 - 6923*c**2 - 6*c + 12 What is the z'th term of 61423, 125584, 189745, 253906? 64161*z - 2738 What is the s'th term of 1268, 2129, 2990, 3851? 861*s + 407 What is the u'th term of 16415, 16704, 17195, 17900, 18831? 2*u**3 + 89*u**2 + 8*u + 16316 What is the u'th term of 4294204848, 4294204849, 4294204850, 4294204851? u + 4294204847 What is the h'th term of 91518, 91512, 91504, 91494, 91482, 91468, 91452? -h**2 - 3*h + 91522 What is the r'th term of -284, -705, -1256, -1961, -2844, -3929, -5240, -6801? -4*r**3 - 41*r**2 - 270*r + 31 What is the f'th term of 20325355, 20325344, 20325329, 20325310? -2*f**2 - 5*f + 20325362 What is the j'th term of 7879, 15552, 23263, 31012, 38799, 46624, 54487? 19*j**2 + 7616*j + 244 What is the n'th term of 548811, 548821, 548837, 548859, 548887, 548921? 3*n**2 + n + 548807 What is the z'th term of 1989, 4051, 6113? 2062*z - 73 What is the m'th term of 19765705, 39531422, 59297165, 79062946, 98828777, 118594670, 138360637? 2*m**3 + m**2 + 19765700*m + 2 What is the m'th term of -393, -2394, -5981, -11154, -17913? -793*m**2 + 378*m + 22 What is the u'th term of 2734, 10904, 24536, 43642, 68234, 98324, 133924? 2*u**3 + 2719*u**2 - u + 14 What is the o'th term of 24285080, 24285074, 24285068, 24285062, 24285056? -6*o + 24285086 What is the l'th term of -1799863, -1799861, -1799859, -1799857, -1799855? 2*l - 1799865 What is the c'th term of 1652, 1699, 1818, 2045, 2416, 2967, 3734? 6*c**3 + 5*c + 1641 What is the l'th term of -1059065, -4236219, -9531475, -16944833, -26476293? -1059051*l**2 - l - 13 What is the l'th term of -3914381, -3914380, -3914379, -3914378? l - 3914382 What is the u'th term of -22964, -49859, -76754? -26895*u + 3931 What is the g'th term of 5666, 3593, 1520, -553? -2073*g + 7739 What is the g'th term of -1871723, -3743449, -5615175, -7486901? -1871726*g + 3 What is the o'th term of -212613, -427221, -641829? -214608*o + 1995 What is the x'th term of -2112427, -2112421, -2112415, -2112409, -2112403? 6*x - 2112433 What is the x'th term of -54716, -109376, -163986, -218552, -273080? -x**3 + 31*x**2 - 54746*x What is the a'th term of -63784, -127574, -191316, -254986, -318560? 4*a**3 - 63818*a + 30 What is the x'th term of -1362094, -1362096, -1362102, -1362112, -1362126, -1362144? -2*x**2 + 4*x - 1362096 What is the t'th term of 20219742, 20219735, 20219728, 20219721, 20219714? -7*t + 20219749 What is the f'th term of -236, -2294, -8024, -19262, -37844? -306*f**3 + 84*f - 14 What is the p'th term of 36835, 75130, 114887, 156106, 198787, 242930, 288535? 731*p**2 + 36102*p + 2 What is the m'th term of 960, 1868, 2834, 3894, 5084, 6440, 7998? 6*m**3 - 7*m**2 + 887*m + 74 What is the d'th term of 304163, 304198, 304257, 304340, 304447, 304578? 12*d**2 - d + 304152 What is the q'th term of 26745, 28774, 30803, 32832, 34861? 2029*q + 24716 What is the x'th term of -30351766, -60703572, -91055378, -121407184, -151758990? -30351806*x + 40 What is the u'th term of 153873655, 307747308, 461620961? 153873653*u + 2 What is the y'th term of -4420075, -8840150, -13260225, -17680300? -4420075*y What is the w'th term of 49875, 49808, 49741? -67*w + 49942 What is the k'th term of 66364, 132784, 199204, 265624? 66420*k - 56 What is the o'th term of -25866, -51674, -77446, -103188, -128906, -154606, -180294, -205976? -o**3 + 24*o**2 - 25873*o - 16 What is the b'th term of 39293, 77800, 116307, 154814? 38507*b + 786 What is the x'th term of -1046, -2392, -4092, -6146? -177*x**2 - 815*x - 54 What is the k'th term of 42303, 34705, 27107, 19509? -7598*k + 49901 What is the h'th term of -3302, -9894, -19760, -32894, -49290, -68942, -91844? h**3 - 1643*h**2 - 1670*h + 10 What is the o'th term of -7284, -29159, -65622, -116673? -7294*o**2 + 7*o + 3 What is the v'th term of -32735, -65676, -98615, -131552? v**2 - 32944*v + 208 What is the q'th term of -11933, -11884, -11861, -11876, -11941, -12068, -12269, -12556? -2*q**3 - q**2 + 66*q - 11996 What is the a'th term of -550363928, -550363927, -550363926, -550363925? a - 550363929 What is the j'th term of 1535, 624, -883, -2974, -5637? 2*j**3 - 310*j**2 + 5*j + 1838 What is the z'th term of 30162, 241705, 815892, 1934043, 3777478, 6527517, 10365480? 30220*z**3 + 2*z**2 - 3*z - 57 What is the r'th term of -2058, -6223, -10388, -14553? -4165*r + 2107 What is the a'th term of -126, 6020, 22702, 55188, 108746, 188644, 300150, 448532? 878*a**3 - 1004 What is the j'th term of 402298, 402167, 402036, 401905? -131*j + 402429 What is the d'th term of -6217, -23896, -41577, -59260, -76945, -94632, -1123
{ "pile_set_name": "DM Mathematics" }
hat is -0.0000802353 rounded to 5 decimal places? -0.00008 Round -27631 to the nearest one thousand. -28000 Round -6181423 to the nearest 100000. -6200000 What is -13021.282 rounded to the nearest 10? -13020 Round -20497.6 to the nearest one hundred. -20500 Round 6352.431 to the nearest ten. 6350 What is 1709.865 rounded to the nearest integer? 1710 What is -24071960 rounded to the nearest one million? -24000000 Round 0.001687768 to four decimal places. 0.0017 What is -46200800 rounded to the nearest one million? -46000000 What is 7703.72 rounded to the nearest 1000? 8000 What is -195.5119 rounded to the nearest 100? -200 What is 0.1608248 rounded to two decimal places? 0.16 What is -0.1967438 rounded to three decimal places? -0.197 What is 374831900 rounded to the nearest one hundred thousand? 374800000 Round -57113300 to the nearest 100000. -57100000 What is -3569287000 rounded to the nearest one million? -3569000000 Round -0.0000782986 to five dps. -0.00008 Round 26.1134 to the nearest integer. 26 Round 21627170 to the nearest one hundred thousand. 21600000 Round 627031 to the nearest one hundred thousand. 600000 Round -38235.02 to the nearest one thousand. -38000 Round -523.7061 to the nearest integer. -524 Round -1.104092 to the nearest integer. -1 What is -685.95 rounded to 0 dps? -686 Round 7677473 to the nearest 10000. 7680000 Round 6879.85 to the nearest one hundred. 6900 What is -0.001647483 rounded to four decimal places? -0.0016 Round 10.10797 to the nearest integer. 10 What is 841348300 rounded to the nearest one hundred thousand? 841300000 Round -2363203.1 to the nearest ten thousand. -2360000 Round -0.00000257024 to 7 dps. -0.0000026 Round -10745.538 to the nearest 10. -10750 Round -0.000017877234 to 7 decimal places. -0.0000179 What is 0.12481167 rounded to 3 dps? 0.125 Round -21135280 to the nearest 1000000. -21000000 Round -2763.908 to the nearest ten. -2760 Round 0.12798 to one dp. 0.1 What is -0.0830669 rounded to 4 decimal places? -0.0831 Round 230863.2 to the nearest 100. 230900 Round 0.000000115791 to seven dps. 0.0000001 What is 33097 rounded to the nearest 1000? 33000 What is -146380 rounded to the nearest one thousand? -146000 What is 149.2814 rounded to 1 dp? 149.3 Round 8831735 to the nearest 100000. 8800000 What is -0.2078006 rounded to four decimal places? -0.2078 Round 0.336082 to 2 dps. 0.34 What is 96345.73 rounded to the nearest ten? 96350 What is 0.2104486 rounded to 3 decimal places? 0.21 Round 169.06194 to zero decimal places. 169 What is 0.00531559 rounded to four dps? 0.0053 What is 971958 rounded to the nearest 1000000? 1000000 Round -0.2055465 to four decimal places. -0.2055 What is -162657 rounded to the nearest ten thousand? -160000 What is 0.0001775065 rounded to seven dps? 0.0001775 What is -2617997 rounded to the nearest 100000? -2600000 Round 0.000000458512 to 7 decimal places. 0.0000005 What is -4.82434 rounded to 2 decimal places? -4.82 What is -2.87988 rounded to 3 decimal places? -2.88 Round 5578.9453 to the nearest 10. 5580 Round -47415340 to the nearest 10000. -47420000 What is -334166100 rounded to the nearest 100000? -334200000 What is 1601.719 rounded to the nearest ten? 1600 Round 0.0016671 to three decimal places. 0.002 Round -8358112 to the nearest 1000000. -8000000 Round -0.0169297 to five decimal places. -0.01693 What is -20739400 rounded to the nearest ten thousand? -20740000 Round -0.00000150933 to seven dps. -0.0000015 Round 0.0000285069 to 7 dps. 0.0000285 Round 33148.6 to the nearest 1000. 33000 What is 1003793300 rounded to the nearest 1000000? 1004000000 What is -912.03 rounded to the nearest 100? -900 Round -219.845 to the nearest one hundred. -200 What is 10269850 rounded to the nearest 1000000? 10000000 What is -0.051668 rounded to one dp? -0.1 What is -0.007918719 rounded to four decimal places? -0.0079 Round -15796100 to the nearest 10000. -15800000 Round 0.0000626098 to five dps. 0.00006 What is 4406288000 rounded to the nearest one million? 4406000000 What is -140.20909 rounded to the nearest integer? -140 What is -0.0020241823 rounded to four decimal places? -0.002 What is -259059.8 rounded to the nearest 1000? -259000 Round -0.00002321088 to 6 dps. -0.000023 Round -66388.13 to the nearest 1000. -66000 What is 0.00000561553 rounded to seven dps? 0.0000056 Round -38800900 to the nearest one million. -39000000 What is 0.753592 rounded to three decimal places? 0.754 What is -0.00453173 rounded to 5 dps? -0.00453 What is -0.04057512 rounded to three dps? -0.041 Round -6858.5 to the nearest 100. -6900 Round 338572 to the nearest ten thousand. 340000 Round 0.003040266 to five dps. 0.00304 What is 0.0000032113 rounded to four decimal places? 0 What is -1816528.6 rounded to the nearest 10000? -1820000 Round 77.00027 to the nearest integer. 77 Round 0.53407 to one decimal place. 0.5 What is 0.00001367044 rounded to seven dps? 0.0000137 Round -5533876 to the nearest 10000. -5530000 What is 0.17683456 rounded to four dps? 0.1768 Round 0.0877893 to three dps. 0.088 What is 0.000002760369 rounded to seven decimal places? 0.0000028 Round -0.00000583183 to 6 decimal places. -0.000006 Round -0.04104404 to three dps. -0.041 What is -1113.961 rounded to the nearest 100? -1100 Round -0.2223296 to 4 decimal places. -0.2223 Round 23179520 to the nearest one million. 23000000 What is 87.2206 rounded to one dp? 87.2 Round -10665350 to the nearest one million. -11000000 Round -47.7118 to the nearest integer. -48 Round 154490 to the nearest 100000. 200000 What is 39057800 rounded to the nearest one hundred thousand? 39100000 Round -1.8784748 to 1 decimal place. -1.9 What is 0.00112946 rounded to 4 decimal places? 0.0011 What is -1.40021 rounded to 1 decimal place? -1.4 Round 0.00004141348 to 7 dps. 0.0000414 Round 120221500 to the nearest 1000000. 120000000 What is -1864042.3 rounded to the nearest 10000? -1860000 Round -0.007952931 to 3 decimal places. -0.008 What is 22247.8 rounded to the nearest 1000? 22000 What is -11431100 rounded to the nearest 100000? -11400000 What is -0.00448264 rounded to 5 dps? -0.00448 What is 0.558737 rounded to 0 dps? 1 What is 3294873.6 rounded to the nearest one thousand? 3295000 Round 95.0837 to 1 dp. 95.1 What is 0.0000057638592 rounded to 7 dps? 0.0000058 Round -237677.06 to the nearest 1000. -238000 Round 3.588662 to 3 decimal places. 3.589 What is 21.821926 rounded to 0 dps? 22 What is -0.00012336422 rounded to 5 dps? -0.00012 What is -0.00000032547782 rounded to 7 dps? -0.0000003 What is -5783870 rounded to the nearest 1000000? -6000000 What is 4.21779 rounded to zero decimal places? 4 Round 0.0006277757 to 4 decimal places. 0.0006 What is -31.3818 rounded to 1 dp? -31.4 What is 609.028 rounded to the nearest ten? 610 What is -0.0003719481 rounded to five decimal places? -0.00037 Round -0.42454 to three dps. -0.425 Round 0.0034189246 to 5 decimal places. 0.00342 Round 0.000002165572 to seven dps. 0.0000022 What is -0.0520181 rounded to two decimal places? -0.05 What is -0.0000382122 rounded to seven dps? -0.0000382 Round -916.34 to the nearest one hundred. -900 Round 0.0000494265 to 6 dps. 0.000049 What is 7988.3 rounded to the nearest one thousand? 8000 What is -0.00367223 rounded to 5 decimal places? -0.00367 What is 95702.6 rounded to the nearest ten? 95700 Round 0.000000671733 to 7 dps. 0.0000007 What is 0.000001806919 rounded to 7 dps? 0.0000018 What is 0.0272671 rounded to 2 dps? 0.03 What is -7788070 rounded to the nearest one million? -8000000 Round 0.0000012419546 to seven decimal places. 0.0000012 Round 1.5150349 to two decimal places. 1.52 What is -0.0002642219 rounded to seven dps? -0.0002642 What is 0.0000292035 rounded to 6 dps? 0.000029 What is -665.2644 rounded to 1 decimal place? -665.3 Round -0.0001053223 to five dps. -0.00011 Round 0.000009597528 to six decimal places. 0.00001 Round -3.766643 to one decimal place. -3.8 Round 274702300 to the nearest one million. 275000000 What is 32700.8 rounded to the nearest one hundred? 32700 What is 955.085 rounded to 0 dps? 955 What is 55.89636 rounded to the nearest 10? 60 What is 0.01388207 rounded to 3 decimal places? 0.014 Round 198606810 to the nearest one million. 199000000 What is -1202
{ "pile_set_name": "DM Mathematics" }
f 47160784. 2, 11, 267959 What are the prime factors of 54807797? 11, 452957 What are the prime factors of 86505237? 3, 7, 13, 79, 191 What are the prime factors of 35920656? 2, 3, 249449 List the prime factors of 2511158150. 2, 5, 50223163 What are the prime factors of 38662849? 38662849 List the prime factors of 36257039. 7, 13, 17, 23, 1019 What are the prime factors of 3427616792? 2, 428452099 What are the prime factors of 52423070? 2, 5, 7, 17, 44053 List the prime factors of 4510417583. 7, 644345369 List the prime factors of 287827341. 3, 61, 1093, 1439 List the prime factors of 336455440. 2, 5, 83, 50671 List the prime factors of 1155125368. 2, 19, 7599509 List the prime factors of 729926761. 4019, 181619 What are the prime factors of 17930056? 2, 71, 31567 What are the prime factors of 104816659? 104816659 What are the prime factors of 403495274? 2, 7, 13, 170539 What are the prime factors of 34154850? 2, 3, 5, 227699 List the prime factors of 1062971232. 2, 3, 11072617 List the prime factors of 4479044410. 2, 5, 447904441 What are the prime factors of 1290069897? 3, 229, 1217, 1543 What are the prime factors of 55580117? 31, 499, 3593 List the prime factors of 1352904129. 3, 53, 421, 6737 What are the prime factors of 555978539? 37, 15026447 What are the prime factors of 731679771? 3, 257, 949001 What are the prime factors of 16152492? 2, 3, 53, 109, 233 What are the prime factors of 183965325? 3, 5, 61, 79, 509 List the prime factors of 92449419. 3, 29, 1013, 1049 What are the prime factors of 149118774? 2, 3, 7, 3550447 What are the prime factors of 36546262? 2, 18273131 What are the prime factors of 661330641? 3, 457, 482371 List the prime factors of 5535688055. 5, 29, 38177159 What are the prime factors of 649927542? 2, 3, 11, 43, 109, 191 List the prime factors of 10065591. 3, 37, 167, 181 List the prime factors of 285620763. 3, 31, 53, 57947 List the prime factors of 5152894632. 2, 3, 47, 431, 3533 What are the prime factors of 91434859? 19, 349, 13789 What are the prime factors of 124473263? 23, 5411881 List the prime factors of 467532327. 3, 107, 173, 8419 List the prime factors of 179416295. 5, 313, 114643 What are the prime factors of 688056648? 2, 3, 4507, 6361 What are the prime factors of 1318622689? 41, 2213, 14533 List the prime factors of 423296488. 2, 151, 350411 What are the prime factors of 493753641? 3, 37, 4448231 List the prime factors of 314240550. 2, 3, 5, 13, 161149 List the prime factors of 2823632898. 2, 3, 1511, 311453 What are the prime factors of 47353688? 2, 23, 41, 6277 List the prime factors of 29970433. 29970433 List the prime factors of 76472550. 2, 3, 5, 7, 11, 2207 What are the prime factors of 1223412565? 5, 17, 19, 43, 79, 223 List the prime factors of 36999797. 563, 65719 List the prime factors of 943134086. 2, 307, 1536049 What are the prime factors of 2199602? 2, 409, 2689 What are the prime factors of 698192395? 5, 149, 937171 List the prime factors of 3327374914. 2, 29, 499, 114967 List the prime factors of 1415787556. 2, 43, 97, 84859 List the prime factors of 346094704. 2, 17, 257, 4951 List the prime factors of 200203101. 3, 7, 17, 53, 3527 What are the prime factors of 30086321? 71, 423751 List the prime factors of 96699205. 5, 19339841 What are the prime factors of 558742238? 2, 279371119 What are the prime factors of 61829327? 7, 1261823 What are the prime factors of 2227176292? 2, 11, 2131, 23753 What are the prime factors of 3298750241? 71, 46461271 What are the prime factors of 169965396? 2, 3, 4721261 What are the prime factors of 690906412? 2, 7, 67, 368287 List the prime factors of 46430217. 3, 5158913 List the prime factors of 107957039. 107957039 What are the prime factors of 714097552? 2, 7, 71, 89, 1009 List the prime factors of 79498493. 1097, 72469 What are the prime factors of 272842332? 2, 3, 7, 47, 69109 What are the prime factors of 70931048? 2, 503, 17627 List the prime factors of 4715994053. 47, 100340299 What are the prime factors of 19797363? 3, 271, 8117 List the prime factors of 1306808327. 11, 163, 728839 What are the prime factors of 2892789065? 5, 578557813 List the prime factors of 734738689. 2333, 314933 What are the prime factors of 55093518? 2, 3, 37, 82723 What are the prime factors of 3740302? 2, 19, 98429 What are the prime factors of 24011091? 3, 13, 205223 List the prime factors of 341437332. 2, 3, 37, 769003 What are the prime factors of 3761763? 3, 73, 89, 193 List the prime factors of 359580338. 2, 13, 29, 59, 137 What are the prime factors of 2734099729? 29, 463, 203627 What are the prime factors of 88245880? 2, 5, 19, 116113 What are the prime factors of 2966333393? 1523, 1947691 List the prime factors of 8076582541. 73, 110638117 List the prime factors of 3453616829. 13, 265662833 List the prime factors of 5474147. 7, 19, 79, 521 What are the prime factors of 74244565? 5, 191, 77743 What are the prime factors of 39550078? 2, 859, 23021 What are the prime factors of 150321679? 43, 239, 14627 What are the prime factors of 2212595963? 2212595963 List the prime factors of 141695104. 2, 1106993 List the prime factors of 600665752. 2, 919, 81701 What are the prime factors of 850724844? 2, 3, 70893737 What are the prime factors of 91525382? 2, 13, 17, 53, 3907 What are the prime factors of 270080090? 2, 5, 7, 3858287 What are the prime factors of 2567140753? 23371, 109843 List the prime factors of 1501876991. 8161, 184031 What are the prime factors of 3841036672? 2, 11, 1013, 2693 What are the prime factors of 62952555? 3, 5, 4196837 List the prime factors of 34665880. 2, 5, 19, 45613 List the prime factors of 1416843113. 7, 2129, 95071 List the prime factors of 6359088531. 3, 2119696177 List the prime factors of 234951458. 2, 7, 17, 987191 List the prime factors of 1102395836. 2, 31, 1571, 5659 What are the prime factors of 1942265067? 3, 89, 7274401 List the prime factors of 4978134775. 5, 199125391 List the prime factors of 93807193. 7877, 11909 List the prime factors of 848462157. 3, 19, 23, 31, 6959 List the prime factors of 36335330. 2, 5, 1223, 2971 List the prime factors of 255366435. 3, 5, 17, 61, 16417 List the prime factors of 1595454159. 3, 13, 40909081 What are the prime factors of 356184543? 3, 11, 13, 830267 What are the prime factors of 1776212309? 17, 43, 113, 21503 List the prime factors of 1964154703. 7, 9011, 31139 List the prime factors of 106405078. 2, 13, 4092503 What are the prime factors of 66133421? 283, 233687 List the prime factors of 232393615. 5, 47, 988909 List the prime factors of 76690604. 2, 17, 1127803 What are the prime factors of 311745803? 311745803 What are the prime factors of 217527495? 3, 5, 17, 853049 What are the prime factors of 52598428? 2, 83, 158429 What are the prime factors of 635360065? 5, 251, 506263 What are the prime factors of 3352237919? 29, 269, 429719 What are the prime factors of 80330776? 2, 10041347 What are the prime factors of 193535122? 2, 11, 8797051 What are the prime factors of 1056284475? 3, 5, 14083793 List the prime factors of 101655881. 353, 287977 What are the prime factors of 249542570? 2, 5, 24954257 What are the prime factors of 969186784? 2, 127, 238481 What are the prime factors of 55884774? 2, 3, 11, 846739 List the prime factors of 173110281. 3, 57703427 What are the prime factors of 43910684? 2, 10977671 List the prime factors of 7200264. 2, 3, 43, 6977 What are the prime factors of 61546231? 479, 128489 What are the prime factors of 1203384? 2, 3, 7, 13, 19, 29 List the prime factors of 815300794. 2, 7, 11, 5294161 What are the prime factors of 636130158? 2, 3, 421, 251833 What are the prime factors of 1026519707? 19, 1721, 31393 List the prime factors of 197224882. 2, 29, 269, 12641 List the prime factors of 215793865. 5, 7, 41, 150379 What are the prime factors of 84829513? 84829513 List the prime factors of 2452919849. 131, 233, 80363 What are the prime factors of 101347389? 3, 11, 13, 26249 List the prime factors of 2777872265. 5, 7, 23, 3450773 List the prime factors of 247977225. 3, 5, 41, 26881 What are the prime factors of 1264537207? 2689, 470263 What are the prime factors of 122904913? 122904913 List the prime factors of 89135802. 2, 3, 7, 19, 197 What are th
{ "pile_set_name": "DM Mathematics" }
ind the third derivative of 4*m**d - 6*m**3 + 2*m**2 + 0*m**2 - 4*m**2 wrt m. -36 Let y(d) be the second derivative of 3/2*d**2 + 3*d - 1/15*d**6 + 0*d**5 + 0*d**3 + 0*d**4 + 0. Differentiate y(u) with respect to u. -8*u**3 Let d(l) = 25*l**3 - 28*l**2 + 4*l + 4. Let v(y) = 26*y**3 - 27*y**2 + 3*y + 3. Let z(a) = -3*d(a) + 4*v(a). What is the third derivative of z(j) wrt j? 174 Let h be 0 - (2 + -23)*-3. Let p be 4/(-14) - 207/h. Differentiate -2*d**4 + 10*d**3 - p - 10*d**3 wrt d. -8*d**3 Let g(b) = -14*b**2 - 5*b - 4. Let w(y) = 21*y**2 + 8*y + 6. Let k = -10 + 5. Let f(n) = k*w(n) - 8*g(n). What is the derivative of f(m) wrt m? 14*m What is the third derivative of 5*h**2 - 3*h**2 - 203*h**5 + 206*h**5 wrt h? 180*h**2 Let x(h) be the second derivative of h**7/840 - h**5/40 - h**3/3 - 2*h. Let b(u) be the second derivative of x(u). What is the second derivative of b(d) wrt d? 6*d Suppose -2*q - 3*q = 5. Let z = q - -5. What is the second derivative of n**z + n**4 - n**3 + 3*n + n**3 wrt n? 24*n**2 What is the second derivative of -92*h + 5 - 5*h**2 + 99*h - 5 wrt h? -10 Let h = -5/2 - -3. Let m(q) be the first derivative of 0*q - h*q**2 - 1 + 1/3*q**3. Find the second derivative of m(b) wrt b. 2 Let d(c) be the second derivative of c**10/5040 - c**6/360 - c**3/6 - c. Let z(v) be the second derivative of d(v). What is the third derivative of z(l) wrt l? 120*l**3 Let s(y) = 3*y**2 + y + 1. Let j be s(-1). Differentiate -12 - o**j + o**3 + o**4 + 6 with respect to o. 4*o**3 Suppose 36 = 5*k - 3*k + 4*w, 3*w - 39 = -3*k. Suppose k*z - 12 = 4*z. What is the second derivative of x + x**3 - 3*x**z - 2*x wrt x? -12*x Let b(p) = 9*p**4 + 6*p**3 + 2*p - 6. Let w(x) = 9*x**4 + 7*x**3 + 2*x - 7. Let m(v) = 7*b(v) - 6*w(v). What is the second derivative of m(q) wrt q? 108*q**2 Let j(n) = -27*n**2 + 24*n + 4. Let m(q) = 28*q**2 - 23*q - 5. Let z(l) = -5*j(l) - 4*m(l). What is the second derivative of z(o) wrt o? 46 Suppose 2*a + 0*a = 4. What is the third derivative of -d**5 - d**2 + d**a + 0*d**5 - d**2 wrt d? -60*d**2 Let b = 8 + -5. What is the second derivative of -9*m - m**4 + b*m**4 + 11*m wrt m? 24*m**2 Let z be (-11)/(-3) + 3/9. Let d = 10 - 6. What is the second derivative of -y + 0*y**z + 2*y**d - 4*y**4 wrt y? -24*y**2 Let w = -2 + 2. Let m(u) be the second derivative of 0*u**3 + 1/10*u**6 + 0 + w*u**4 + 0*u**5 + 2*u + 1/2*u**2. Differentiate m(x) with respect to x. 12*x**3 Let c(j) = -22*j**4 + 3*j**3 + 3*j**2 - 11*j - 2. Let f(s) = s**4 - s**3 - s**2 + 1. Let o(x) = -c(x) - 3*f(x). Find the second derivative of o(r) wrt r. 228*r**2 Let g(y) be the third derivative of 0*y**3 + 0 + 1/4*y**4 + 0*y - 2*y**2 - 1/30*y**5. What is the second derivative of g(d) wrt d? -4 Let i(u) = 7*u**2 + 1. Let m(r) = -r**2 + 1. Let w(x) = i(x) + 5*m(x). What is the first derivative of w(j) wrt j? 4*j Let n(m) be the third derivative of 1/60*m**5 + 0*m**3 - 3*m**2 + 0*m**6 + 0*m**4 + 0*m + 0 - 1/105*m**7. Find the third derivative of n(y) wrt y. -48*y Let l(p) = 3*p - 4. Let n be l(6). Find the second derivative of -2*f + f + 16*f**4 - n*f**4 wrt f. 24*f**2 Suppose 0*g + g = 3*y - 11, 0 = 4*y - 4*g - 28. What is the third derivative of -i**y + 3*i**3 - 2*i**2 + 5*i**2 - 5*i**2 wrt i? 18 Let k(c) be the first derivative of c**6/120 - c**3/2 + c**2 - 4. Let d(q) be the second derivative of k(q). Differentiate d(b) wrt b. 3*b**2 Let t(r) = -r. Let g(s) = -13*s + 8. Let l(x) = -g(x) + 6*t(x). What is the first derivative of l(y) wrt y? 7 Let x = 10 - 5. What is the third derivative of i**2 - i**5 + 3*i**x + 0*i**5 wrt i? 120*i**2 Suppose 4*m - 2*z + 0 = -2, 5*z - 5 = 0. Let k(o) be the second derivative of 3/2*o**2 + 2*o + 1/2*o**3 + m. Find the first derivative of k(i) wrt i. 3 What is the third derivative of 29*s**2 - 19*s - 30*s**5 + 19*s - 7*s**2 wrt s? -1800*s**2 Let x(s) be the first derivative of 2*s**7/105 - s**4/4 + 3*s**2 - 5. Let n(p) be the second derivative of x(p). Find the second derivative of n(d) wrt d. 48*d**2 Let y(a) = a**3 + a**2 + 2*a + 3. Let t be y(-2). Let z = t + 7. What is the first derivative of 1 - z*h + 2*h + 3*h - 5*h wrt h? -2 What is the third derivative of 22*f**4 - 7*f**2 - 7*f**2 - 18*f**2 + 5 - 3 wrt f? 528*f Let j(g) = -g**4 + g**3 + g. Let a(u) = 16*u**4 + 6*u**3 + 6*u + 21. Let v(z) = -a(z) + 6*j(z). Differentiate v(i) with respect to i. -88*i**3 Let m(w) be the second derivative of 1/30*w**6 + 0*w**4 + 0*w**3 - 3/2*w**2 - 3*w + 0 + 0*w**5. Differentiate m(u) wrt u. 4*u**3 Let u(v) = -v**2 + 9*v + 2. Let j be u(9). Find the second derivative of -3*b + 0 + 0 + b**j wrt b. 2 Let r(y) = -y**3 - y**2 - y + 1. Let b(c) = -23*c**4 - 2*c**3 - 14*c**2 - 2*c + 2. Let m(n) = -b(n) + 2*r(n). What is the third derivative of m(v) wrt v? 552*v Let f(k) = 4*k**3 - k**2 + 16*k - 13. Let m(i) = -i**3 - 4*i + 3. Let b(j) = 6*f(j) + 26*m(j). What is the second derivative of b(s) wrt s? -12*s - 12 Suppose -2*l = 4*g - l - 29, -4 = -4*g + 4*l. What is the third derivative of c**2 + 3*c**2 - 2*c**2 - 5*c**g - c**2 wrt c? -600*c**3 Find the third derivative of 3649*c**4 + 32*c**2 - 3649*c**4 + 20*c**6 wrt c. 2400*c**3 Let b be (2/(-6))/(2/(-30)). Find the second derivative of 3*y**5 + 155*y + 2*y**b - 160*y wrt y. 100*y**3 Suppose -3*b + 7*b = -2*u + 6, 0 = 2*b + 4*u. What is the second derivative of -2*v**3 + b*v + v - 4*v**3 wrt v? -36*v Let d(l) = l + 7. Let r(t) = -3*t - 15. Suppose -o + 3 = 0, -b - b - 19 = -5*o. Let m(k) = b*r(k) - 5*d(k). What is the first derivative of m(y) wrt y? 1 What is the third derivative of -9 + 0 + 850*b**2 - 853*b**2 - 65*b**3 wrt b? -390 Let g(n) = 2*n - 6. Let i be g(5). Differentiate 2*f**3 - 1 - 2*f**i - 2*f**3 with respect to f. -8*f**3 Let a(o) = 10*o**4 - 7*o**3 - 14. Let r(q) = 9*q**4 - 6*q**3 - 14. Let j(f) = 6*a(f) - 7*r(f). Differentiate j(i) wrt i. -12*i**3 Find the third derivative of 4*m**2 + 11 - m**6 - 11 wrt m. -120*m**3 Let p(f) = 22*f**5 - 5*f**4 - 7*f - 5. Let d(z) = 11*z**5 - 2*z**4 - 3*z - 2. Let v(r) = -5*d(r) + 2*p(r). Find the second derivative of v(u) wrt u. -220*u**3 Differentiate -2*f**3 + 26*f**3 + 4 - 6*f**3 with respect to f. 54*f**2 Find the second derivative of -4*w**2 + 4*w**2 + 11*w**4 - w + 0*w wrt w. 132*w**2 Let d(w) = 3*w**5 - 13*w + 3. Let v(a) = -a**5 - a + 1. Let f(q) = -d(q) + 3*v(q). Find the second derivative of f(s) wrt s. -120*s**3 What is the third derivative of -3*y**2 - 21*y**5 + 11*y**2 + 35*y**5 wrt y? 840*y**2 What is the third derivative of 4*v**5 + 4*v**2 + v**5 - 12*v**2 wrt v? 300*v**2 Let n(m) be the third derivative of m**7/315 - m**5/120 + 7*m**4/24 - 5*m**2. Let s(f) be the second derivative of n(f). Differentiate s(x) wrt x. 16*x Let z(s) be the second derivative of 5*s**4/12 + 5*s**2 + 14*s. Differentiate z(k) with respect to k. 10*k Let n = -5 + 7. Suppose 17*l - 16*l - 5 = 0. Find the first derivative of 0 - 1 - n*r + l*r wrt r. 3 Let k(m) be the third derivative of m**4/6 + m**3 - 13*m**2. Differentiate k(v) with respect to v. 4 Let o(v) = v**3 - 8*v**2 - 7*v - 13. Let l be o(9). Find the third derivative of 92*t - 3*t**2 - 2*t**l - 92*t wrt t. -120*t**2 Let n(g) be the second derivative of 29*g**6/30 - 17*g**4/12 - g**3/3 - 11*g + 1. What is the third derivative of n(d) wrt d? 696*d Let m(a) = 2*a**2 + a + 1. Let i be m(-1). Suppose 4*o = 3*r - 29, -o = -0*o + 5. What is the third derivative of i*p**3 - 2*p**2 + p**r + 3*p**2 - p**3 wrt p? 12 Let c(o) be the first derivative of -4*o**7/21 + o**3 + o - 3. Let h(q) be the first derivative of c(q). Find the second derivative of h(a) wrt a. -160*a**3 Let h(v) be the first derivative of 0*v - v**2 + 1/4*v**4 - 3 + 0*v**3. What is the second derivative of h(c) wrt c? 6*c What is the second derivative of 6*f - 2*f**2 - 3*f**2 - 14*f**2 wrt f? -38 Let d(x) be the first derivative of 2*x**6/15 - 3*x**2/2 - x + 3. Let z(c) be the first derivative of d(c). Differentiate z(u) wrt u. 16*u**3 Suppose 0 = -2*s + 3*s - 3. Find the third derivative of -a**2 + a**3 + a**3 - 3*a**s + 0*a**3 wrt a. -6 Let t(y) be the second derivative of y**10/30240 - y**6/720 + y**4/4 + y. Let o(w) be the third derivative of t(w). Find the second derivative of o(q) wrt q. 20*q**3 Let p(d) = -d - 3. Let c be p(-6). Differentiate -3 +
{ "pile_set_name": "DM Mathematics" }
a) = -5609258*a - 29980. Let v(s) = -1497*s - 8. Let w(m) = 2*d(m) - 7495*v(m). What is h(w(k))? 1499*k Let q(v) = 9475*v + 13. Let p(r) = 12*r**2. What is q(p(m))? 113700*m**2 + 13 Suppose 2*d = -4*d + 510. Let z(g) = d - g**2 - 85. Let l(c) = -10*c. Determine z(l(a)). -100*a**2 Let w be (2/8)/((-1)/(-4)). Let l(b) = -1 - 2*b + w. Let j(i) = -4*i**2 + 10*i + 20. Let p(r) = -r**2 + 3*r + 6. Let k(d) = -3*j(d) + 10*p(d). Give k(l(x)). 8*x**2 Let v(q) be the second derivative of q**4/12 - 232*q. Let j(y) = -209*y + 1. Give j(v(u)). -209*u**2 + 1 Let d(i) = -2*i**2 + 2*i**2 + i**2. Let y(o) = -13687*o - 14*o**2 + 27374*o - 13687*o. What is d(y(c))? 196*c**4 Let q(j) = -2*j. Let a be 10/4*((-4808)/(-480) - 10). Let l(v) be the third derivative of a*v**4 + 0*v**3 + 0 + 0*v + 6*v**2. Determine l(q(c)). -2*c Let g(l) be the first derivative of l**5/20 - 11*l**2/2 - 4. Let z(b) be the second derivative of g(b). Let c(q) = -q. Give z(c(s)). 3*s**2 Let r(p) = 2*p - 3. Let g(n) = -n + 3. Let z(k) = g(k) + r(k). Let h(x) = -58*x - 8. Let d(j) = -39*j - 5. Let i(l) = -8*d(l) + 5*h(l). Determine i(z(m)). 22*m Suppose 3*b + 0*b = 21. Let q(k) = k + 14*k - b*k. Let p(z) be the first derivative of 2*z**3/3 + 178. Give q(p(s)). 16*s**2 Let h(m) = -1014*m. Let z(o) = 60*o**2. Calculate z(h(c)). 61691760*c**2 Let p = -62 - -122. Let k(h) = p*h - 41*h - 41*h. Let n(g) = g**2. Determine k(n(m)). -22*m**2 Let i(j) = 2*j - 1. Let w(q) = 13*q - 7. Let k be (-310)/15 + 1/(-3). Let t(f) = k*i(f) + 3*w(f). Let v(o) = 2*o**2. Determine t(v(g)). -6*g**2 Let t(w) = -38*w. Let d(n) = -22*n - 5. Let z(f) = -11*f - 2. Let v(x) = 2*d(x) - 5*z(x). Give v(t(j)). -418*j Let a(d) = -19*d. Let u(x) = 10*x - 2. Let k(m) = -12*m + 3. Let q(w) = 2*k(w) + 3*u(w). Determine a(q(v)). -114*v Let g(l) = -2*l. Let w(o) be the third derivative of -o**8/560 + 19*o**5/60 + 21*o**2. Let t(r) be the third derivative of w(r). Calculate g(t(c)). 72*c**2 Let v be (-6)/(1 - 3) - 1. Suppose v*f + 0*q = q + 9, 0 = 4*f - 5*q - 33. Let c(a) = -a + f*a - 6*a + 4*a. Let z(u) = -2*u**2. What is c(z(o))? 2*o**2 Let s(h) = -200*h - 3. Let q(o) = -o - 3. Let b(t) = -q(t) + s(t). Let r(a) = 3*a**2. Give b(r(v)). -597*v**2 Let a(i) = -i. Let o(w) = 6*w**2 + 2*w. Let p(r) = -4*a(r) - 2*o(r). Let b(n) be the first derivative of 3*n**2/2 + 7. What is b(p(f))? -36*f**2 Let t(b) = 35*b - 105*b + 36*b + 39*b. Let z(v) = 12*v**2 - 3*v. Calculate z(t(m)). 300*m**2 - 15*m Let n(m) = m. Let j(i) = -25697*i**2. Determine n(j(w)). -25697*w**2 Let d(u) = -36*u - 2. Let s(n) = 477*n**2. What is s(d(j))? 618192*j**2 + 68688*j + 1908 Let p(z) = 5*z. Let t(h) = -14585*h. Determine t(p(s)). -72925*s Let r(z) = 583*z**2. Let q(u) = -u**2 + 124 - 124. Calculate q(r(i)). -339889*i**4 Let n(a) = -328*a**2 + 8. Let u(z) = -6*z + 15. Determine n(u(m)). -11808*m**2 + 59040*m - 73792 Let k(f) = 84*f. Let s(d) = 67*d. Let j(v) = 5*k(v) - 6*s(v). Let l(q) = -7*q + 2. Give l(j(z)). -126*z + 2 Let y(b) be the second derivative of -b**3/6 - b. Let x(h) be the second derivative of 0*h**2 + 11*h + 0 - 5/6*h**3. Calculate x(y(q)). 5*q Let k(s) be the first derivative of -s**6/90 + 4*s**3 + 6. Let h(o) be the third derivative of k(o). Let q(p) = 4*p**2. Calculate h(q(g)). -64*g**4 Let k(a) = -7*a. Let r(z) = 35*z**2 + 31*z**2 - 75*z**2. Give k(r(l)). 63*l**2 Let n(i) = 2*i**2. Let y(h) = -41868*h. What is y(n(j))? -83736*j**2 Let p(r) = -6*r. Let y(w) = -236*w**2 + 2 + 243*w**2 - 2. Give p(y(z)). -42*z**2 Let p(h) be the first derivative of h**2/2 - 1634. Let s be 0 - ((-2)/(-1) + 3). Let f(o) = -o - 5. Let m(u) = 1. Let k(z) = s*m(z) - f(z). Give p(k(n)). n Let x(n) = -3*n**2. Let j(r) = -3*r + 3000. Calculate j(x(i)). 9*i**2 + 3000 Let m(q) = 2*q**2. Let a(o) = 90612*o. Calculate m(a(j)). 16421069088*j**2 Let s be (119/(-14))/(-17) - 3/(-2). Let u(t) = 3*t**2 - 4*t**2 - 5*t**s + 0*t**2. Let z(x) be the third derivative of x**4/24 + x**2. Calculate z(u(f)). -6*f**2 Let n(m) = -9*m**2 + 5. Let t(p) = 4*p**2 - 2. Let u(w) = 4*n(w) + 10*t(w). Let g be (-10)/(-2)*(-4)/(-4). Let h(l) = -5*l + l**2 + g*l. What is h(u(r))? 16*r**4 Let d(k) = -k + 10. Let u(z) = -18*z**2 + 8*z**2 + 12*z**2. Determine d(u(b)). -2*b**2 + 10 Let z(b) = -12651*b. Let c(m) = 8*m. What is z(c(g))? -101208*g Let q(r) be the second derivative of -3*r**3/2 - 3*r - 16. Let w(x) = -3*x. Determine w(q(j)). 27*j Let v(y) = -3*y**2. Let z(r) be the third derivative of r**8/6720 + r**5/6 - r**4/8 + 2*r**2 + r. Let n(c) be the third derivative of z(c). Calculate n(v(t)). 27*t**4 Let h(j) = -4*j**2. Let f(k) = -756*k + 27*k**2 + 756*k. Determine f(h(w)). 432*w**4 Let u(c) = -3*c. Let p = -8 + 10. Let s(z) = -2*z**p + 8 - 8 + 0*z**2. What is s(u(t))? -18*t**2 Let c(u) be the third derivative of -u**4/3 - u**2. Let w(b) = 3*b**3 - 5*b - 1. Let v be w(2). Let j(g) = -2*g + 12 + v - 25. Give j(c(f)). 16*f Let j(x) = -2*x + 9*x + 2*x. Let y(b) = 11*b. Calculate j(y(l)). 99*l Let r(f) = -f. Suppose 12*s - 17*s + 405 = 0. Let n(d) = 39*d - s*d + 41*d. Determine n(r(y)). y Let u(b) = -3 - 146*b**2 + 53*b**2 - 192*b**2 + 12*b**2. Let n(k) = -2*k. Calculate n(u(j)). 546*j**2 + 6 Let v(j) = -39636*j. Let y(q) = -6*q. Determine y(v(n)). 237816*n Let x(c) = 6*c**2 - 8. Let b(v) = -202*v + 41*v**2 - 39*v**2 + 202*v. What is b(x(k))? 72*k**4 - 192*k**2 + 128 Let d(t) = -2*t**2. Let p(u) be the first derivative of 294*u**2 + 53. What is d(p(s))? -691488*s**2 Let x(o) be the third derivative of 5*o**2 + 0*o**4 + 0 + 0*o + 0*o**3 + 1/30*o**5. Let z(p) = -23*p. Calculate x(z(v)). 1058*v**2 Let o(l) = -11*l. Let p(w) = 0*w - w + 0*w - 9*w + 8*w. Give o(p(m)). 22*m Let f(t) = -256*t - 6. Let r(z) = -86*z - 2. Let w(u) = 6*f(u) - 17*r(u). Let j(i) = 2*i**2. What is w(j(q))? -148*q**2 - 2 Let x(j) = -j. Let f(q) = 2063*q**2 - 305*q. Determine f(x(a)). 2063*a**2 + 305*a Let g(y) = 21*y**2. Let o be ((-80)/(-35) - 2)*7. Let m(v) = -v**o + 4*v**2 + 4*v**2 - 6*v**2. Determine m(g(n)). 441*n**4 Let z be (-1 - 3)*2/(-4). Let p(h) = -2*h + h**2 + z*h. Let f(q) = q**2 - 6*q**2 + 2*q**2 + 2*q**2. Determine p(f(a)). a**4 Let u(a) = 13*a + 16. Let z(w) = -1627*w. What is u(z(m))? -21151*m + 16 Let r(d) = 23560*d**2. Let k(j) = -10*j**2. Give r(k(l)). 2356000*l**4 Let n(s) = -43*s. Let z(p) be the third derivative of -p**5/30 + 37*p**2. Calculate z(n(w)). -3698*w**2 Let o(s) = 72*s. Let c(p) = 5*p**2 - 7*p. Calculate o(c(d)). 360*d**2 - 504*d Let f(a) = -73*a. Let c(r) = 446*r**2. Calculate f(c(o)). -32558*o**2 Let i(x) be the second derivative of -x**4/24 - 13*x**2 - 22*x. Let j(d) be the first derivative of i(d). Let q(c) = 31*c**2. Give j(q(l)). -31*l**2 Let g(c) = -12*c. Let x(y) = 7*y. Let k(m) = 4*g(m) + 7*x(m). Let f(a) be the third derivative of -13*a**4/24 + a**3/6 - 2*a**2. Determine k(f(v)). -13*v + 1 Let p(j) = 266832*j**2. Let r(a) = -a. Determine r(p(z)). -266832*z**2 Let w(c) = 2*c**2. Let a(i) = 2180465*i. Calculate a(w(m)). 4360930*m**2 Let k(m) = m**2. Let y(s) = -115*s + 128 + 130 + 116 - 374. Calculate y(k(j)). -115*j**2 Let w(i) = 17*i**2. Let z(o) = -3*o - 3386. What is z(w(g))? -51*g**2 - 3386 Let z(h) = -639*h. Let x(l) = -2*l**2 - 55*l. Give z(x(v)). 1278*v**2 + 35145*v Let u(w) be the first derivative of -35*w**4/6 + 45*w + 25. Let b(z) be the first derivative of u(z). Let h(r) = r. Calculate b(h(f)). -70*f**2 Let f(g) be the third derivative of -3*g**4/8 - 36*g**2 + 1. Let q(u) be the third derivative of -u**5/12 + u**2. Calculate q(f(y)). -405*y**2 Let f(d) = -8*d**2 + 22*d. Let o(y) = 2*y - 1. Let b(q) = 11*q - 5. Let l(p) = b(p) - 5*o(p). Give f(l(r)). -8*r**2 + 22*r Let t(q) be the first derivative of 5*q**3/3 + 123. Let j(v) = 40*v. Give t(j(w)). 8000*w**2 Let q(l) = 302*l - 3. Let d(r) = -r + 10. Calculate d(q(t)). -302*t + 13 Let f(c) = 2212*c + 4*c**2 - 2212*c. Let r(t) = -8*t**2. Calculate f(r(u)). 256*u**4 Let b(r) = 2*r. Let k(w) = 782552*w**2. Determine b(k(x)). 1565104*x**2 Let c(b) = 3*b + 2244. Let z(r) = -9*r - 4. What is z(c(v))? -27*v - 20200 Let a be -2*(2/(-4))/((-16)/(-32)). Let s(k) be the third derivative of 0 + 1/10*k**5 + 0*k - 6*k**a + 0*k**3 + 0*k**4. Let i(g) = g. Determine s(i(o)). 6*o**2 Let w(h) = 2*h. Let l(j) = -17741*j + 1. Give w(l(b)). -35482*b + 2 Let d
{ "pile_set_name": "DM Mathematics" }
-1/939, -2/3? -1/939 Which is the closest to -1? (a) -1 (b) -0.171 (c) -39 a What is the closest to 5 in 0.4, -2/105, 5, -0.131, 0.2? 5 What is the nearest to 4 in -2/39, 0.1, -0.4, 0.3? 0.3 Which is the nearest to -278/3? (a) 1/15 (b) 1/11 (c) -5 (d) -3/4 c Which is the nearest to -1998? (a) -2 (b) 0.2 (c) -0.09 (d) 3 (e) 2 a What is the closest to 2/3 in 433, -1, -5, 4/47? 4/47 What is the nearest to 0 in 11.59, 13, 0.07? 0.07 Which is the nearest to -5? (a) -17/9 (b) -0.06 (c) -0.56 a Which is the nearest to -0.4? (a) -3/20 (b) -1.61 (c) -1 a What is the nearest to 0 in -43, 9, 4? 4 Which is the closest to -0.01? (a) 153 (b) 5 (c) -1/4 (d) -1/2 (e) -2 c What is the nearest to 1/3 in 1, 14.341, 2? 1 What is the closest to -59 in 0.2, 50, -5? -5 Which is the nearest to 13? (a) 1 (b) 1/5 (c) -0.1 (d) -3 a What is the closest to 3/5 in 1/8, 0.5, -5, -1, 3/4? 0.5 Which is the nearest to 15.4? (a) -4 (b) 42/11 (c) 1 b Which is the nearest to -0.2? (a) 162 (b) 3 (c) -0.1 (d) 2 c Which is the closest to 2/3? (a) 1 (b) -90/29 (c) -1/5 (d) 21 a Which is the nearest to -1792? (a) -3 (b) 0 (c) -0.06 (d) 2/9 (e) -2/11 a What is the closest to 3 in 35, 2, -2/9, 0.02, -41? 2 What is the closest to 12/11 in -3, -2/273, -0.03? -2/273 What is the nearest to -43.9 in 2, -3, 0.1, -5, -10? -10 Which is the nearest to 0.2? (a) 2 (b) 32 (c) -3 (d) 1/74 d What is the nearest to -1/39 in 1/4, 0.2, 1096? 0.2 What is the nearest to 0.5 in -8, 23, 5? 5 Which is the closest to 2/3? (a) 28 (b) 0.4 (c) 6/11 (d) 18 c What is the nearest to -2/7 in 12096, 0.3, 0? 0 Which is the nearest to 0.1? (a) -7624 (b) 2 (c) -0.1 c What is the closest to 2 in -3, -4/7, 0.03, -0.4? 0.03 Which is the closest to 26? (a) 0.036 (b) -2/9 (c) 2/5 (d) -0.07 (e) -10 c Which is the nearest to -1? (a) -16115 (b) -0.12 (c) -3 b What is the closest to -0.2 in -2047, -11, 1/4? 1/4 Which is the closest to -3? (a) 1 (b) -415/3 (c) 35 a What is the nearest to -0.1 in 5, -3/7, -16504, 3? -3/7 What is the closest to -2 in -2, 0, 1/7184? -2 Which is the closest to -2/7? (a) -2.5 (b) -0.3 (c) 7 (d) 1 (e) -1 b Which is the closest to -0.02? (a) 21 (b) 5 (c) -1647 (d) 2 d What is the closest to -1/2 in 10, 0.0525, -6, 6/7, 0.3? 0.0525 What is the closest to -1.6 in 0.3, 4/13, 0.5, 0.06, 3? 0.06 What is the closest to -1 in 5, 16, -74, 0.5? 0.5 Which is the closest to -0.1? (a) 1/4 (b) 69/2 (c) -163 a What is the nearest to -2/3 in 1, 0.1, 2, -5/2, -5? 0.1 Which is the nearest to 0.033? (a) -0.2 (b) 1/14 (c) -0.202 (d) -2 b What is the closest to -2 in 8, 3, 18, -0.2? -0.2 Which is the nearest to -0.04? (a) -0.4 (b) -6/29 (c) -2/7 b Which is the closest to 18? (a) -5 (b) -2/5 (c) -1/6 (d) -18/17 c What is the nearest to 16/7 in -0.2, 10/3, -3/2, 0, -4? 10/3 What is the closest to 1/5 in 1, 13, 587? 1 What is the closest to 0 in -12, 1, -36, -4? 1 What is the nearest to -0.5 in -4, -5, 107, -0.1? -0.1 What is the nearest to 10 in 847, 5, -5, -3/2, 6? 6 Which is the nearest to 36? (a) 2 (b) 8 (c) -0.2 (d) 4 b What is the nearest to 0 in 50/13, 6.2, 0, -3? 0 Which is the nearest to 2? (a) -5 (b) -2/281 (c) -1/10 (d) -0.4 (e) 4 e Which is the closest to 1/3? (a) -3.751 (b) 4 (c) 1/5 c Which is the closest to -97? (a) 2 (b) -3 (c) 14 (d) 0.1 (e) 1 b Which is the closest to 0.1? (a) -56 (b) 6 (c) -4 c What is the nearest to 1/2 in -0.1, -9/31, 132? -0.1 Which is the closest to 0.1? (a) -0.49 (b) 115 (c) 0.06 (d) 3 c Which is the nearest to -0.02? (a) 2/5 (b) -2/9 (c) 1 (d) -0.04 (e) 3 d Which is the closest to 0.01? (a) 0.9 (b) 3 (c) 0.5 (d) 10/11 c What is the nearest to 821 in -2, -1, 2? 2 What is the nearest to -12 in 16, -1.2, -5, -33/13? -5 Which is the nearest to -0.3? (a) -5 (b) 2/17 (c) 4 (d) -678 b Which is the closest to 0.2? (a) -22 (b) 15 (c) -0.4 c Which is the closest to 0.1? (a) 2/7 (b) -1 (c) -1/4 (d) 0.42 a What is the nearest to 0 in 853, 2, -4, 0.5? 0.5 What is the closest to 1/4 in 65.02, -11, 1? 1 Which is the closest to 1/11? (a) -1 (b) 0.2 (c) 4/7 (d) -5.1 b What is the nearest to 1.2678 in 3/4, -2/19, -2/5? 3/4 What is the nearest to 0.065 in -1, 4, 35? -1 What is the closest to 2/3 in -1/6, 18/83, -10? 18/83 What is the closest to 4 in -1, 2/3, -4, -45, 4? 4 Which is the nearest to -7? (a) -7 (b) -3/2 (c) -4/7 a Which is the closest to 1? (a) 7.644 (b) 4 (c) -12 b Which is the nearest to 0.1? (a) 95 (b) -78/5 (c) -0.4 (d) 0 d Which is the closest to -0.3? (a) 5/63 (b) -3 (c) -8 a What is the closest to 45 in -2, 0.027, -13? 0.027 What is the nearest to 10 in -89, -135, -0.3? -0.3 What is the nearest to 0 in 10/293, -1, -0.04, -4? 10/293 Which is the nearest to -15? (a) 3 (b) 3.3 (c) 0.1 c Which is the nearest to -2? (a) -14.9 (b) -0.5 (c) -3 c What is the nearest to -2/5 in -0.3, 179.8, 16? -0.3 Which is the nearest to -39? (a) 35/11 (b) 2 (c) 2.6 b Which is the nearest to -71814? (a) 0.3 (b) 3 (c) -3/2 c What is the nearest to -0.1 in -0.0259, -0.1, 0.3, -6, -1/4? -0.1 What is the closest to 29 in -4, 1/203, 0, 0.5? 0.5 Which is the closest to -1? (a) -3/4 (b) 0 (c) 3/5 (d) 169/43 a Which is the nearest to 144? (a) 41 (b) 1/2 (c) -0.2 (d) -88 a Which is the closest to 1/3? (a) -1/34 (b) 23/8 (c) 4 a Which is the closest to 24? (a) 46 (b) -0.1 (c) 0 a Which is the nearest to 0.2? (a) 2/377 (b) 0.1 (c) 9 (d) 3/4 b Which is the nearest to 0? (a) 5/4 (b) -26 (c) -7 (d) 4/7 (e) -2/19 e What is the closest to 4 in -2, -348, -2/5, -1, 5/4? 5/4 Which is the nearest to -0.96? (a) 3.2 (b) 3/2 (c) 12/23 c Which is the closest to -509? (a) -1/6 (b) 52 (c) 0 a What is the nearest to -30 in -3, -2/771, 0.2? -3 Which is the closest to -7? (a) -1/4 (b) -3/4 (c) 3.604 (d) -0.03 b Which is the nearest to 1? (a) -2 (b) 0.1116 (c) 0.046 b What is the closest to 6/11 in -3, -4, 2, -1.4, 3/4? 3/4 What is the closest to 0.1 in -41, 0.24, -0.17? 0.24 Which is the nearest to 20/7? (a) 0.2 (b) 4 (c) 1/11 (d) 1/7 b What is the nearest to 1 in 87, -5, -0.3, -33, 0? 0 What is the nearest to -1 in -2/5, -3/19, -4, 0.5? -2/5 What is the nearest to -0.3 in 3, -9, -414? 3 What is the nearest to 11 in -0.9, -10, -1, 0.02, -4? 0.02 What is the closest to -3 in -1, -0.1, 0.34, 26? -1 Which is the nearest to 0.1? (a) 3/7 (b) -18.9 (c) -1/6 c Which is the closest to 1? (a) 22 (b) 51 (c) -3/7 (d) 2/15 d Which is the closest to 1? (a) 7 (b) -3 (c) -3058 b What is the closest to -4486 in -2/17, 3/4, 2, 3, -1? -1 Which is the nearest to 313? (a) -0.1 (b) 3 (c) -0.2 b Which is the closest to -6449/3? (a) -0.3 (b) 3 (c) -3/7 (d) -0.5 (e) 33 d What is the nearest to -0.2 in 0, 1/46, 5, 46? 0 Which is the closest to -2? (a) -4 (b) -0.08 (c) 5/9 (d) 6 b What is the nearest to 0.2 in 1, -37, 148? 1 Which is the nearest to 2.96? (a) 0.38 (b) 1/4 (c) -0.5 a What is the nearest to 5 in 3/2, -60, -0.3, -2/13? 3/2 Which is the closest to 0.16? (a) 170 (b) -0.2 (c) -0.3 b What is the closest to 0 in 0, 0.7, 6, 10? 0 What is the closest to -2 in -2, 3, -0.3, -16/81? -2 Which is the nearest to -0.09? (a) 0.38 (b) 0.3 (c) -0.5 (d) -1 (e) 2/11 e What is the closest to 98 in 0.3, 0, 0.77, 2/5? 0.77 Which is the nearest to 0? (a) 3/3785 (b) 2/11 (c) 4 a What is the closest to -1 in 162.2, 0.5, -13? 0.5 Which is the closest to -2/9? (a) -1 (b) -6/25 (c) 2/9 (d) 13 (e) -3 b What is the closest to -5/4 in -2/13, 0.2, 0, -1/6, 28/155? -1/6 Which is the nearest to -1? (a) -7/27 (b) -3/8 (c) 16 b Which is the nearest to 1? (a) 3 (b) 1/6 (c) -0.8 (d) 4 (e) 36 b What is the nearest to -2 in -1/5, 0.2, -0.3, 8, 1.5? -0.3 What is the closest to 0.03248 in 0.1, -96, -1/3? 0.1 What is the nearest to 0.16 in -0.5, -2, 1067/14? -0.5 Which is the nearest to -60? (a) 5 (b) -79 (c) -0.4 b What is the nearest to 2.6 in -5, -1/3, 3, 30? 3 Which is the closest to 0.2? (a) 219 (b) 0.2 (c) 2.1 b What is the nearest to 31/4 in -4, 0.5, -115, -1, 4? 4 What is the nearest to -2/5 in -0.3, 2, -14, 4, 67.2? -0.3 Which is the nearest to -0.1? (a) 1/3 (b) 3.472 (c) 5 (d) 0 d What is the nearest to -1/3 in 1/7, 198,
{ "pile_set_name": "DM Mathematics" }
. -5 Solve 26*h = -42*h + 680 for h. 10 Solve -462*z + 502*z + 212 = -108 for z. -8 Solve -361 = 18*p - 16*p - 21*p for p. 19 Solve -832*d = -834*d - 28 for d. -14 Solve -1579 + 562 = -117*x + 1323 for x. 20 Solve -360 = 52*b + 48*b - 76*b for b. -15 Solve -7*h - 23 + 6 = 25 for h. -6 Solve -141*a + 425*a + 5396 = 0 for a. -19 Solve 16*u = 7*u + u for u. 0 Solve -3100 = -2492*m + 2337*m for m. 20 Solve -4*g - 5*g = 117 for g. -13 Solve -106*b - 2945 = 59*b - 10*b for b. -19 Solve 35*u = -1495 + 1040 for u. -13 Solve 2581*w = 346*w - 67050 for w. -30 Solve 421*b - 826*b = -416*b + 143 for b. 13 Solve -29*t + 663 = 199 for t. 16 Solve 6*w - 14*w - 5 = 3 for w. -1 Solve -146 - 2792 - 2081 = -239*b for b. 21 Solve -110 + 2549 = 271*h for h. 9 Solve 6*k = 31*k - 200 for k. 8 Solve -1835*i + 300 = -1810*i for i. 12 Solve 0 = -h + 8 - 18 for h. -10 Solve 20*i + 49 - 102 = -493 for i. -22 Solve 34*g + 65 = -24*g + 1225 for g. 20 Solve -742*s + 1422*s - 312 = 732*s for s. -6 Solve 0 = 25*o - 15*o - 8*o - 8 for o. 4 Solve -134*d - 142*d = -273*d - 12 for d. 4 Solve 252*y + 1121 + 867 = 110*y for y. -14 Solve 266*u + 260*u = 528*u + 56 for u. -28 Solve 0 = -3*f - 11*f - 6*f - 180 for f. -9 Solve 0 = 72*t + 109267 - 108907 for t. -5 Solve -8307 = -254*k - 687 for k. 30 Solve -66*s = -2485 + 2023 for s. 7 Solve -11367 = -709*q - 96*q - 458*q for q. 9 Solve 34*t - 30 = -36*t + 67*t for t. 10 Solve 4016 = 322*i + 6270 for i. -7 Solve 140*d = 269*d - 138*d - 72 for d. -8 Solve 819*a + 8784 = 270*a for a. -16 Solve 16*n = -49*n - 386 + 61 for n. -5 Solve 1327 = 265*p - 4768 for p. 23 Solve 711 = -241*g + 173*g - 377 for g. -16 Solve 479*g = 482*g - 21 for g. 7 Solve 579 = -73*f - 121 - 30 for f. -10 Solve -2035*p = -2039*p for p. 0 Solve 0 = -1528*l + 1491*l - 296 for l. -8 Solve 0 = -204*f + 103*f + 61*f + 840 for f. 21 Solve 860 - 29532 = 1024*m for m. -28 Solve 0 = -188*b - 18 - 1332 - 342 for b. -9 Solve 1757 + 1047 = -204*t + 968 for t. -9 Solve 604*f + 462 = 571*f for f. -14 Solve 26*p + 820 = 794 for p. -1 Solve 169*m + 3 = 171*m - 21 for m. 12 Solve 352*y + 21394 = -443*y - 5636 for y. -34 Solve 0 = -413*t - 19*t + 33 - 5217 for t. -12 Solve -2242 + 4468 = -378*y - 5334 for y. -20 Solve -461 - 243 = -134*y - 168 for y. 4 Solve 308 - 188 = 10*f for f. 12 Solve -43*d + 19 - 179 = -3*d for d. -4 Solve 420*o - 2453 = 81*o + 259 for o. 8 Solve 18680*l - 18687*l = -21 for l. 3 Solve 0 = -310*n - 2263 - 4247 for n. -21 Solve 139*c + 2569 = -228*c for c. -7 Solve -139*j - 2746 + 2 = 57*j for j. -14 Solve 2*i = 158*i + 82*i - 1904 for i. 8 Solve 19*i - 147 = -23 + 123 for i. 13 Solve -52749 + 51754 = -199*h for h. 5 Solve 16339*f - 390 = 16313*f for f. 15 Solve -693*m - 1470 = -763*m for m. 21 Solve -2*r + 38 = 17*r + 19 for r. 1 Solve -390 = -709*c + 365*c + 359*c for c. -26 Solve 453 = -234*j + 1227 + 630 for j. 6 Solve -404 + 116 = 14*j + 2*j for j. -18 Solve -12*p + 333 - 153 = 0 for p. 15 Solve -54*c = -150 + 69 - 135 for c. 4 Solve 37*q - 5*q + 288 + 0 = 0 for q. -9 Solve 22 = 6272*b - 6270*b for b. 11 Solve 286*p = 300*p - 238 for p. 17 Solve -1765*p + 75 = -1750*p for p. 5 Solve 1870 = -19*k - 122*k - 29*k for k. -11 Solve 198*g - 1230 = 342 + 12 for g. 8 Solve 71*c + 27*c + 1837 = -69*c for c. -11 Solve -123*n = 7*n + 1447 + 503 for n. -15 Solve 64*u + 2140 = 476 for u. -26 Solve 85*d - 59 = 120*d + 711 for d. -22 Solve 2203 = 487*w - 1392 - 4684 for w. 17 Solve -38 = -4*p + 23*p + 19 for p. -3 Solve 0 = -22*j + 215*j - 935 - 1767 for j. 14 Solve -96*z + 924 + 828 = -840 for z. 27 Solve -17*j = 256 - 307 for j. 3 Solve 6*d - 392 + 410 = 0 for d. -3 Solve -60*b - 1197 = 14*b - 11*b for b. -19 Solve 362*x - 291 = 459*x for x. -3 Solve -85*x = 130*x + 2580 for x. -12 Solve -6*n + 72 = -12*n + 12*n for n. 12 Solve 0 = -714*u + 731*u - 153 for u. 9 Solve 1621 - 742 = 77*k - 815 for k. 22 Solve -254 + 230 = 12*f for f. -2 Solve 0 = 2*i + 1948 - 1954 for i. 3 Solve 122*i + 236*i + 47 = -6397 for i. -18 Solve -11*t = 115 - 148 for t. 3 Solve -4725*t + 4709*t = -128 for t. 8 Solve -38*z - 12053 = -10837 for z. -32 Solve 204 - 1785 = 93*h for h. -17 Solve -151*c - 392 = -42*c + 1352 for c. -16 Solve 459*s - 334*s = -387*s + 10240 for s. 20 Solve -51*k + 33 = -112*k + 28*k for k. -1 Solve -27710*b + 27670*b = -80 for b. 2 Solve -6*b + 66*b - 192 = -4*b for b. 3 Solve 119 + 566 = -48*h + 185*h for h. 5 Solve -508*s = -473*s - 280 for s. 8 Solve 0 = 8*p + 131 - 99 for p. -4 Solve 59862 - 59242 = -31*k for k. -20 Solve -59*f + 16158 = 42*f + 15350 for f. 8 Solve 182 - 13 + 71 = 60*z for z. 4 Solve -110*u - 45*u - 806 - 1209 = 0 for u. -13 Solve -1026*j + 1085*j = -413 for j. -7 Solve 60 = -22*v - 89 - 5 for v. -7 Solve 469*r + 1275 - 1057 = 7253 for r. 15 Solve 1208 - 10723 = -624*a + 2965 for a. 20 Solve j - 22 + 32 = 0 for j. -10 Solve -619*o + 543*o = -684 for o. 9 Solve 25*w = -5 + 36 + 169 for w. 8 Solve 0 = -2340*q + 2231*q - 1417 for q. -13 Solve 54*m + 55 = 9*m - 305 for m. -8 Solve 38*a = -20*a - 87*a + 2320 for a. 16 Solve 1190*y - 31296 = -114*y for y. 24 Solve 0 = 7837*y - 7726*y for y. 0 Solve 0 = 6*s - 743 + 773 for s. -5 Solve -44*x - 165 = -274 - 331 for x. 10 Solve -28*y - 181 + 161 + 468 = 0 for y. 16 Solve -18*t = 977 - 1481 for t. 28 Solve 70 = -51*o - 71 - 267 for o. -8 Solve -7*i + 42 = 14*i + 189 for i. -7 Solve -498*m - 96 = -474*m for m. -4 Solve -1907 = -528*r - 3928 - 2203 for r. -8 Solve 146*g + 1245*g - 592 + 14502 = 0 for g. -10 Solve 90*l - 30 = -1451 - 919 for l. -26 Solve 126*f = -130*f for f. 0 Solve 13*y - 6*y = -64*y - 1207 for y. -17 Solve 694*z = 738*z + 176 for z. -4 Solve -75*f - 5045 = -4970 for f. -1 Solve -32*z + 51*z - 30*z = 407 for z. -37 Solve c - 265 = -32*c + 230 for c. 15 Solve 5*i - 41997 + 41952 = 0 for i. 9 Solve -3*w = 25*w + 299 - 47 for w. -9 Solve 70*l - 77 = -7 for l. 1 Solve 32*a + 14*a - 5*a = 0 for a. 0 Solve 143*w = -466*w - 12398 + 2045 for w. -17 Solve 52*d = -4050 + 1946 + 648 for d. -28 Solve 5 = -22*u - u - 110 for u. -5 Solve 87*h - 400 = -88*h + 191*h for h. -25 Solve 65*l + 371 = 12*l for l. -7 Solve -93*f - 23 - 220 = 36 for f. -3 Solve 32*v = -378 + 634 for v. 8 Solve 176*q + 17*q = 35*q for q. 0 Solve 0 = -16835*f + 16819*f + 528 for f. 33 Solve -8*v - 379*v + 14*v = 2238 for v. -6 Solve -768*c - 749*c + 616 = -1539*c for c. -28 Solve 266*u - 342 - 8918 = -197*u for u. 20 Solve -81*x = -174*x - 1953 for x. -21 Solve 698*v - 648*v - 1900 = 0 for v. 38 Solve 58*z + 70 = -247 - 1191 for z. -26 Solve 607*f - 587*f + 220 = 0 for f. -11 Solve -14*p - 237 = 269 - 674 for p. 12 Solve -180*b - 11 = -436 - 115 for b. 3 Solve 0 = 474*g - 3*g + 8949 for g. -19 Solve 442*b - 7939 = 12*b + 897*b for b. -17 Solve -57*p - 375*p + 864 = 0 for p. 2 Solve 25*t = 607 - 1307 for t. -28 Solve -30*j - 120 = -17*j + 2*j for j. -8 Solve -19*s + 3*s - 29931 = -29899 for s. -2 Solve 0 = -311*y + 412*y + 606 for y. -6 Solve 127*l = 77*l + 300 for l. 6 Solve -50*n + 7072 = 7722 for n. -13 Solve -178 - 76 = 54*y + 340 for y. -11 Solve -472*v - 56 - 2193 = -645*v for v. 13 Solve 5884 = -118*g + 10014 for g. 35 Solve -756623*x = -756574*x + 392 for x. -8 Solve 0 = -23*w + 75 - 138 - 259 for w. -14 Solve 349*u - 175*u - 143*u + 62 = 0 for u. -2 Solve 2715*i = 2721*i + 126 for i. -21 Solve -680*t + 99 = -581*t for t. 1 Solve 35 = 7779*m - 7814*m for m. -1 Solve 17446 = 674*g + 422*g - 303*g for g. 22 Solve -2*q - 15 = -8*q + 21 for q. 6 Solve 78*o = 158*o + 480 for o. -6 Solve 2926 = -55*f + 321*f for f. 11 Solve 0 = -21*f + 119 - 77 for f. 2 Solve 1454 + 1234 - 168 = 210*w for w. 12 Solve s - s - 1232 = -88*s for s. 14 Solve -6*b + 4741 = 4771 for b. -5 Solve -168*z - 1646 = -1110 + 2488 for z. -18 Solve 618*b - 11604 = -1098 for b. 17 Solve 17 + 3 = -74*g - 202 for g. -3 Solve 300 = -46*z - 47*z + 63*z for z. -10 Solve 426*w - 117*w + 10332 = -60*w for w. -28 Solve 367*u - 973 = 1229 for u. 6 Solve 1057 = 83*y - 520 for y. 19 Solve -47*f = 78*f - 2926 - 199 for f. 25 Solve -60*g + 19*g + 48*g - 91 = 0 for g. 13 Solve -12*m - 863 = -82*m - 233 for m. 9 Solve 0 = -618*w - 550*w - 15*w + 16562 for w. 14 Solve 1309*j + 1143 - 2376 = 5312 for j. 5 Solve 13*w - 2407 = -70*w for w. 29 Solve 73*z + 82*z = -50*z + 410 for z. 2 So
{ "pile_set_name": "DM Mathematics" }
-0.4, 21, 0.07, 4? 1/2 What is the second smallest value in 2/5, 2/35529, -1/6? 2/35529 Which is the second biggest value? (a) 0 (b) -6 (c) 2/139 (d) 7 c What is the second smallest value in -88/5, 43, -1? -1 What is the biggest value in -2, -4, 2/13, 1147, -3? 1147 What is the smallest value in -0.4, 358, -5/8, 5/3? -5/8 Which is the biggest value? (a) 0.06 (b) 6002/23 (c) -0.2 b What is the fourth biggest value in -0.022, 2, -0.07, -2.2, 0.1, -3? -0.07 What is the fourth biggest value in -3, -4, 129, 19, -1? -3 Which is the biggest value? (a) 22 (b) -10/9 (c) -380 a What is the second biggest value in -4, 0.44, 4, 2/7, 2? 2 Which is the second biggest value? (a) 0 (b) -0.057 (c) 1/9 (d) -3/5 (e) -4 a Which is the second smallest value? (a) 1/8 (b) -23 (c) -9.8 c Which is the smallest value? (a) -12/47 (b) 258 (c) -0.3 c What is the fourth biggest value in 0.1, -5/7, 2/7, -5/4, -3/7? -5/7 Which is the second biggest value? (a) -1/4 (b) 3 (c) -0.03 (d) -19.0744 c What is the third smallest value in 3.2, -1.7, 0.42? 3.2 Which is the second smallest value? (a) 1 (b) -8 (c) 2/3 (d) 48.4 (e) 2/15 e Which is the smallest value? (a) 431 (b) -0.5 (c) 29 b Which is the smallest value? (a) -14 (b) -45 (c) -0.5 (d) 0.6 b What is the fourth smallest value in -1, 13, 1, -0.3, 2/11? 1 What is the third biggest value in 1/8, -3, -4, 391/3? -3 What is the second smallest value in -21, -3, 0.092, -0.04? -3 What is the fifth smallest value in -1.2, 107, 2, -2, -5? 107 What is the fifth biggest value in -0.9, 61, -4/3, -0.3, 2/5? -4/3 What is the biggest value in -4, 2/5, -14/17, 4, -1, -10? 4 Which is the fifth smallest value? (a) -1 (b) -1/2 (c) 2/1003 (d) -0.3 (e) 3/7 e Which is the fourth biggest value? (a) 0.3 (b) -6/7 (c) 5 (d) 2/43 (e) 566/7 d Which is the smallest value? (a) -2 (b) 18 (c) 1 (d) -67 d What is the fifth smallest value in 2/3, -1/2, 9, 0.01, -1/13? 9 Which is the second smallest value? (a) -7 (b) -1/5 (c) 0.5 (d) -2 (e) -102 (f) 0.2 a What is the smallest value in -0.5, 1/4, 121/3, -3, -4, -7? -7 Which is the biggest value? (a) 6/7 (b) -1/1080 (c) 0.5 a Which is the smallest value? (a) 1 (b) -104 (c) -4/7 (d) 3/16 (e) -5 b Which is the fifth biggest value? (a) 0.4 (b) 2/209 (c) -0.4 (d) -1 (e) 0 d Which is the third biggest value? (a) 0.1 (b) -1 (c) 0 (d) 4 (e) 7 a What is the third smallest value in -28511, -4, 4? 4 Which is the third smallest value? (a) -5 (b) -0.2 (c) 1/5 (d) -1/8 (e) 209/3 (f) 0.09 d Which is the sixth smallest value? (a) 1/4 (b) 0.4 (c) -0.57 (d) -5/2 (e) -1/36 (f) 20 f Which is the third biggest value? (a) 358 (b) -3 (c) -8 (d) 1 b Which is the third biggest value? (a) -22 (b) -1.05 (c) 20 a Which is the third biggest value? (a) 3/2 (b) 2 (c) 120 (d) 11 b Which is the smallest value? (a) 0.04 (b) -2/11 (c) 0.3 (d) 0.21 (e) 1/5 (f) 2/3 b What is the third biggest value in 24, 274, -1, 0.4? 0.4 Which is the second biggest value? (a) -314 (b) 9/5 (c) -2 c What is the biggest value in 3, -4, 1725/124? 1725/124 What is the smallest value in -42, 3, -59? -59 What is the second smallest value in 2, 486/5, 15? 15 What is the third smallest value in 569, -5, 2? 569 Which is the third biggest value? (a) 1 (b) 0.4 (c) 2/13 (d) -2 (e) -77.3 c Which is the smallest value? (a) 989 (b) -2 (c) 400/7 b What is the biggest value in -2/7, 6, -5.68? 6 Which is the second smallest value? (a) 2/531 (b) -7 (c) -0.5 (d) -0.4 (e) 3 (f) -1 f What is the second smallest value in 0.5, 0.3, 5, -4/2787, 3? 0.3 Which is the smallest value? (a) 0.5 (b) 26 (c) 3343 a Which is the biggest value? (a) 4 (b) -524 (c) 2/15 (d) 65 d Which is the second smallest value? (a) 18.7 (b) 1895.4 (c) -5 a Which is the second smallest value? (a) 4/7 (b) 2/7 (c) -0.05 (d) 0.3 (e) 289 b What is the third smallest value in -3, 2, 3/408403? 2 Which is the fifth smallest value? (a) 3 (b) -4 (c) -2/279 (d) 2/13 (e) 0.5 (f) 2 f What is the fifth biggest value in -0.1, 10, -5, 3, -5/132? -5 What is the fourth smallest value in 0.4, -1/9, -1, -4/5, 701? 0.4 What is the second smallest value in -0.097, -2/9, -56, 0.1, -1/4, 0.4? -1/4 Which is the biggest value? (a) -1/2 (b) 9/10 (c) 2/7 (d) -518 (e) -2 b Which is the biggest value? (a) -0.4057 (b) 0 (c) 32 c Which is the third biggest value? (a) 3 (b) -1/5 (c) -231 (d) -1/3 (e) 2/41 (f) -0.02 f Which is the third smallest value? (a) -316 (b) -335 (c) -3 c What is the second biggest value in -0.2, -0.3, 25/24, -2? -0.2 Which is the fifth biggest value? (a) 0.5 (b) -313 (c) 1/3 (d) -0.053 (e) 17 b What is the second smallest value in -2.54, -2/5, 0.3, 0.2, -5, -2/33? -2.54 What is the smallest value in 1/78, -5, -1, 3/2? -5 Which is the second biggest value? (a) 2 (b) -2 (c) -4 (d) -1/13 (e) -19 d Which is the biggest value? (a) -4/371 (b) -6/5 (c) -1 a What is the biggest value in -2/423, 0.5, -13, 1/5, 19? 19 What is the biggest value in -0.002, -1, 3636? 3636 Which is the biggest value? (a) 0.22 (b) 5 (c) 31 c Which is the fourth smallest value? (a) 0.6 (b) -3/79 (c) -2/181 (d) -0.3 a What is the third smallest value in 0.3, 10, 0.219? 10 What is the sixth biggest value in -28/31, 4/3, -4/3, -3, 2, -7? -7 What is the fourth smallest value in -3, -63, -0.2, -0.5, 15? -0.2 Which is the biggest value? (a) 0.3 (b) 0.5 (c) 79888 c What is the biggest value in -20, -2/9, 127, 3? 127 What is the third smallest value in -5, -4, -1, -164.2, -1/14? -4 What is the biggest value in -3, -4, 0.03, 6? 6 Which is the third smallest value? (a) 2/9 (b) 0.3844 (c) 3 c What is the fourth biggest value in 1/139, 1/7, 5, -1/13? -1/13 Which is the third biggest value? (a) -1 (b) -0.05 (c) 1/661 (d) 1/3 (e) 2/7 c Which is the fourth biggest value? (a) 42 (b) 4 (c) 3/2 (d) 236 c Which is the biggest value? (a) -20/299 (b) -2/13 (c) 0.4 (d) 4 d What is the second smallest value in -0.5, 2/6223, -77? -0.5 What is the second smallest value in 1.252, 3, -481/5? 1.252 What is the third biggest value in 2/89, -27, -0.1, -2/17, 0.3? -0.1 What is the second smallest value in 3, 0.065, 0? 0.065 What is the fourth biggest value in 0.02, 17.4, -26, -12/7? -26 Which is the third biggest value? (a) -0.0255 (b) -1/8 (c) 17 (d) 3 a Which is the smallest value? (a) 4 (b) -29.5 (c) -0.07 (d) -0.2 (e) -4/7 b Which is the second smallest value? (a) -0.6 (b) -269 (c) 3 (d) 1/6 (e) 2 a What is the biggest value in -0.1, -123, 0.2, -0.4? 0.2 What is the biggest value in 0.18, -10.5, 0.2, 0, 3/2, 3/7? 3/2 What is the third smallest value in -127, -11, 1/6, 0.2? 1/6 Which is the second biggest value? (a) -0.412 (b) 1/2 (c) 1181 b Which is the sixth smallest value? (a) -0.011 (b) 2 (c) -1/17 (d) 0.3 (e) -0.28 (f) 1 b What is the fourth smallest value in -5.09, 0.3, -6/7, 6, -0.3, 0.5? 0.3 What is the second smallest value in 0.12, -1/6, -2/7, -2, 1/2? -2/7 Which is the fifth biggest value? (a) -2/5 (b) -4 (c) 1/4 (d) 2.7 (e) -0.1 (f) -697 b What is the smallest value in 6, 25227/10, 2? 2 What is the smallest value in 0, 5, -10273, -0.14? -10273 Which is the third biggest value? (a) 2 (b) 0.35 (c) -1/12 (d) -1/6 (e) 4/9 b Which is the fourth biggest value? (a) 0 (b) 2/7 (c) -3.74 (d) -0.04 (e) 1 d Which is the biggest value? (a) 4/3 (b) 9 (c) 4 (d) -1576/7 b What is the second smallest value in 2413, 5, 3? 5 Which is the smallest value? (a) -1/9 (b) -53.5 (c) -1 b Which is the second biggest value? (a) 4 (b) -3 (c) -1803/7 (d) -5 b What is the sixth biggest value in 2/13, 189, -3, 5, 41, -4? -4 Which is the third smallest value? (a) -0.3 (b) 0.03 (c) -7 (d) 1/7 b What is the third biggest value in 25, 113, 0.18, 3? 3 Which is the fourth biggest value? (a) -1/19 (b) -0.2 (c) 0.1 (d) 10 (e) -5 (f) 0.06 a What is the fifth smallest value in 12, -1/24, 3, 0.54, -4? 12 Which is the second biggest value? (a) -47.716 (b) 0.2 (c) -0.3 (d) -3 c What is the third biggest value in 1/5, -0.1, 1, 1/4, -1.95? 1/5 Which is the fourth biggest value? (a) 2/7 (b) 2/17 (c) 2/75 (d) 0 (e) -6.4 d Which is the second smallest v
{ "pile_set_name": "DM Mathematics" }
v(4). Suppose -4*g + 0*g = 5*s - 52, -y*g = -3*s - 26. What are the prime factors of g? 13 Suppose -2*o - 3*w - 8 = 0, 4*w + 4 = -o - 0*o. Let k = 3 + o. Let i = 2 - k. What are the prime factors of i? 3 Let d = -53 - -58. What are the prime factors of d? 5 Let w be (6/5)/(1/(-5)). Let f(r) be the third derivative of -r**4/8 - 3*r**3/2 + r**2. List the prime factors of f(w). 3 Let z = -10 - -15. Suppose -15 = -2*k + p - 0*p, 34 = z*k + p. List the prime factors of k. 7 Let q be 1/(3 - 1 - 1). Suppose -4*x + 43 = 3*a, 3*a = 3*x - q - 26. What are the prime factors of x? 2, 5 Suppose -5*n - 13*n = -2088. List the prime factors of n. 2, 29 Let k be (-46)/8 + 12/(-48). Let x be (-66)/8 - (-3)/12. Let m = k - x. What are the prime factors of m? 2 Suppose 2*k = t - 2*t + 40, 3*t + 3*k = 120. List the prime factors of (t + -1)*2/6. 13 Let b = 1272 - 888. What are the prime factors of b? 2, 3 Let l = 4 - -26. What are the prime factors of l? 2, 3, 5 Let q = 8 - 2. Let p = 8 + q. Suppose -z - z + p = 0. List the prime factors of z. 7 Let i(q) = q**3 + 5*q**2 - 3*q - 15. What are the prime factors of i(-3)? 2, 3 Suppose 9*s = -6*s + 2310. What are the prime factors of s? 2, 7, 11 Suppose 5*p = -s + 125, 3*s = -0*p + p - 9. List the prime factors of p. 2, 3 Let j(m) be the first derivative of m**4/4 + 3*m**3 + 7*m**2/2 + m + 1. What are the prime factors of j(-8)? 3 Suppose 4*i + 6 = -54. Let l = 21 + i. List the prime factors of (-28)/l*(-54)/21. 2, 3 Suppose 5*l - s + 2*s - 12 = 0, 0 = -5*l + 4*s + 27. List the prime factors of l. 3 Suppose n - 4*n = -303. What are the prime factors of n? 101 Suppose 0 = -0*u - u + 2*s + 226, -3*u + 688 = -s. What are the prime factors of u? 2, 5, 23 Suppose 2*d - 19 = -3. Let q be 6/2 - (-2 + 4 + -4). Suppose -d = -c + q. What are the prime factors of c? 13 Suppose 0*x + 2*x - 38 = 0. List the prime factors of x. 19 Let a(n) = n**2 + 12*n - 9. What are the prime factors of a(4)? 5, 11 Let b(p) = p**3 + 22*p**2 + 15*p - 30. What are the prime factors of b(-21)? 2, 3 Let w = -328 - -225. Let h = w - -73. List the prime factors of h*(3 - (-10)/(-3)). 2, 5 Let d(l) = -4 - 4*l + 1 + 2*l. Let m = 4 - 8. What are the prime factors of d(m)? 5 Let b be (-36)/198 + 504/(-11). Let p = -30 + 0. Let y = p - b. List the prime factors of y. 2 Let k(u) = -3*u**3 - 2*u**2 + 2*u + 3. List the prime factors of k(-2). 3, 5 List the prime factors of (-385)/(-15) - (-2)/6. 2, 13 Let b be (2 + 104)/1*1. Let l = -74 + b. Suppose i + 5*f = l, -3*i - 2*f + 0*f + 44 = 0. List the prime factors of i. 2, 3 Let q be 4/(-2) - (-1 - -12). Let i be (q - -1)*8/6. Let x = -8 - i. List the prime factors of x. 2 Let d be ((-1)/3)/(1/(-87)). Suppose b - 2*b + d = 0. Let z = -17 + b. List the prime factors of z. 2, 3 Suppose -2*k + 3 = -0*k - 5*s, 4*s - 34 = -k. List the prime factors of k. 2, 7 Suppose -5*d = -2*z - 2, -4*z - 2 = -2*z - 3*d. Let u be -2 - (-1 + 6/3). Let l = z - u. What are the prime factors of l? 2 Let y(i) = -i**2 - 7*i - 3. Let h be y(-5). Suppose -2*z + 44 = -4*f, 3*z + 5*f - 103 = h. List the prime factors of z. 2, 3, 5 Suppose 0 = -3*z + 25 + 59. Let a = z + -21. What are the prime factors of a? 7 Suppose 4 = 3*g - 2. Suppose -4*w = 4*s - 244, g*w + 5*s = -0*w + 137. List the prime factors of w. 2, 7 Let l(f) = -f**3 - 4*f**2 - 5*f - 4. Let g be l(-3). What are the prime factors of (6/12)/(g/60)? 3, 5 Let k be (-1)/(-2) - (-10)/(-4). Let o(g) = -g**2 - g - 4. Let j(a) = a**2 + a + 3. Let b(c) = 3*j(c) + 2*o(c). What are the prime factors of b(k)? 3 Let r = -43 - -64. What are the prime factors of r? 3, 7 Suppose -2*u + 72 = -4*z, 4*u - 2*u - 3*z = 73. List the prime factors of u. 2, 19 Let f = -42 - -104. Suppose m + m = f. What are the prime factors of m? 31 Suppose 8 = s + s. Suppose 55 = r + s*r. List the prime factors of r. 11 Let f be 2/4 + 11/2. Suppose f*b - 2*b - 20 = 0. List the prime factors of b. 5 Let t(z) = z**3 + 11*z**2 + 6*z - 10. What are the prime factors of t(-9)? 2, 7 Suppose h - 4 = 4*u - 3*u, 3*h = -5*u - 20. Let s = u + 8. What are the prime factors of s? 2 Let c(s) = 2*s**3 - 3*s**3 + 3*s + s - s**2. Let x be c(-3). List the prime factors of x/9 + (-31)/(-3). 11 Suppose 3*a - 60 = 3*p, -3*p + p + 121 = 5*a. List the prime factors of a. 23 Suppose 0 = -2*k - 10*k + 2952. What are the prime factors of k? 2, 3, 41 Let d = -43 - -45. Let g(l) = -l**3 + 7*l**2 - 6*l. Let u be g(6). Suppose 5*t + 4*i - 43 = u, -4*t - 11 + 35 = -d*i. List the prime factors of t. 7 Let r(y) = 2*y**3 + y - 1. Let p be r(1). Suppose 0 = -p*v, -v = 3*i - 2*v - 48. What are the prime factors of i? 2 Suppose -5*t + 0*t + 5*s = -15, -2*t + 6 = s. Suppose 5*v = 3*k + 37, v + 7 = 2*v - k. Suppose 0 = -z - t + v. What are the prime factors of z? 5 Let k(c) = -7*c - 12. Let r(w) = -4*w - 6. Let j(g) = 3*k(g) - 5*r(g). Let t be j(-6). What are the prime factors of t + 9 - (2 - 3)? 2, 5 Let f = 0 + 0. Let i(a) = -a + 5 + f*a + 0*a. What are the prime factors of i(3)? 2 Let j = -5 - -4. Let s(o) = o. Let r(n) = 18*n - 1. Let u(k) = -r(k) + 5*s(k). List the prime factors of u(j). 2, 7 Suppose j = -2*j - 2*q + 2, 10 = -j + 2*q. Let k be ((-2)/(-2))/((-20)/60). What are the prime factors of 12 + j + k/3? 3 Let m(a) = 2*a - 8. Let g be m(6). Suppose 23 = 2*p + 4*y - 27, 3*p - 59 = 2*y. Suppose -d = -g*d + p. What are the prime factors of d? 7 Let u = -3 - -2. Let j = u - -14. What are the prime factors of j? 13 Suppose -1 + 7 = -v - 3*i, 27 = 4*v - 5*i. Let l(o) = o - 2. Let u be l(v). Suppose -b = -15 + u. What are the prime factors of b? 2, 7 Suppose -13 = -5*y + 7*y - 3*t, 2*t = 10. What are the prime factors of (y - 4)*(-10)/3? 2, 5 Let z(n) be the first derivative of n**5/60 - 3*n**4/8 + n**3/3 - 1. Let j(s) be the third derivative of z(s). What are the prime factors of j(6)? 3 Suppose 5*r = 3*j + 586, 2*r - 2*j + 0*j = 236. List the prime factors of r. 2, 29 Let b(z) = 4*z**3 + 9 + 1 - 6*z**2 + 2 - 5*z**3 + 13*z. List the prime factors of b(-8). 2, 3 Let j be 2/3 - 6/(-18). Suppose 4*i = -r + j + 1, -3*r = -6. Let q = 2 + i. What are the prime factors of q? 2 Suppose 5*b - 4*d - 3 = -5, -2*b + 13 = 3*d. Suppose 4*w - c = 76, -b*w - 5*c + 92 = 32. List the prime factors of w. 2, 5 Let w be (2/4)/(1/2). Let m(v) = 32*v**3 + 2*v**2 - v. List the prime factors of m(w). 3, 11 Let y(n) = -3 + 2*n - 1 - 3. List the prime factors of y(7). 7 Suppose -4 = p - 2. Let j = p - -13. List the prime factors of j. 11 Let i = 22 - 8. List the prime factors of i. 2, 7 Suppose 6 = -2*f, -5*x - f + 2*f = -13. Let s be x + (-3)/(1 - -2). Suppose 4*y - s - 43 = 0. List the prime factors of y. 11 Let y = 5 - 3. Let g(z) = 2*z - 12. Let p be g(8). Suppose 17 = y*m - h, p*m - 13 = 5*h + 24. List the prime factors of m. 2 Let y be (-1 + 3)/(2/6). Suppose 12 = 2*i - 4*m, -i = 2*i + 2*m + y. What are the prime factors of 2/2 - (i + -1)? 2 Suppose -s + 6 + 123 = 0. Suppose s + 31 = 5*n. What are the prime factors of n? 2 Suppose 72 = 2*p + 2*p. Let o = -3 + p. What are the prime factors of o? 3, 5 Suppose 28 = 4*p - 16. Suppose 0 = -4*c - 3*m + 6 + 8, 0 = -3*c - 3*m + 12. Suppose c*q - p = 9. What are the prime factors of q? 2, 5 Let m be -1*(5/1 + -2). Let l = 1 - m. What are the prime factors of l? 2 What are the prime factors of (0 + 6)/(14/259)? 3, 37 Suppose g - 1 - 1 = 0. Suppose -12 = -g*i - 2*i. Suppose s + l - 8 = -l, 0 = -i*s + 2*l + 40. What are the prime factors of s? 2, 3 Let d(i) = -14*i + 2. Let y be d(-2). Suppose b - y = -0*b. List the prime factors of b. 2, 3, 5 Suppose -v - 84 = -8*v. What are the prime factors of v? 2, 3 Let k = 11 - 10. Let w(v) = 19*v - 1. What are the prime factors of w(k)? 2, 3 Suppose -8 = 2*r, 5*u = -3*r - 0*r + 3. Suppose -21 = -u*k - 0*k. Suppose 0 = -g + k. What are the prime factors of g? 7 What are the prime factors of -1*2 - (-1 + -14)? 13 Let h(s) = s - 11. Let p be h(5). Let v = p - -6. Suppose 5*l = r + 6*l - 8, v = -5*r + l + 22. What are the prime factors of r? 5 Let n = -7 + 13. Let o be (-1 - -1)/(n - 4). Suppose o*h = 5*h - 20. List the prime factors of h. 2 Let f(i) = 2*i + 18. What are the prime factors of f(-6)? 2, 3 Suppose -4*i + 106 + 78 = 0. List the prime factors of i. 2, 23 Suppose -k + 5*u = 11, k = -2
{ "pile_set_name": "DM Mathematics" }
digit of 28223740? 2 What is the ten thousands digit of 12916? 1 What is the units digit of 1615268? 8 What is the hundred thousands digit of 32105717? 1 What is the hundreds digit of 9021436? 4 What is the thousands digit of 177089? 7 What is the hundreds digit of 501793? 7 What is the hundreds digit of 2886427? 4 What is the hundred thousands digit of 18610645? 6 What is the units digit of 160475? 5 What is the units digit of 9540062? 2 What is the thousands digit of 177099? 7 What is the tens digit of 4106? 0 What is the hundreds digit of 80553? 5 What is the hundred thousands digit of 855011? 8 What is the hundreds digit of 373221? 2 What is the hundred thousands digit of 373217? 3 What is the units digit of 2708826? 6 What is the hundred thousands digit of 3262497? 2 What is the thousands digit of 146485? 6 What is the units digit of 369203? 3 What is the thousands digit of 1398554? 8 What is the thousands digit of 10728178? 8 What is the hundreds digit of 5455? 4 What is the units digit of 608140? 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2 What is the tens digit of 1250006? 0 What is the hundreds digit of 3412075? 0 What is the ten thousands digit of 60240? 6 What is the units digit of 23959664? 4 What is the hundred thousands digit of 21809239? 8 What is the units digit of 88366? 6 What is the ten thousands digit of 367057? 6 What is the tens digit of 1889720? 2 What is the hundred thousands digit of 17055213? 0 What is the hundred thousands digit of 15468077? 4 What is the millions digit of 3407741? 3 What is the units digit of 15132322? 2 What is the tens digit of 325885? 8 What is the millions digit of 2921482? 2 What is the units digit of 25223? 3 What is the ten millions digit of 20177840? 2 What is the units digit of 67766? 6 What is the ten thousands digit of 21881? 2 What is the units digit of 59006? 6 What is the hundreds digit of 774831? 8 What is the tens digit of 74044? 4 What is the tens digit of 1248502? 0 What is the units digit of 10923? 3 What is the units digit of 2371582? 2 What is the hundred thousands digit of 276866? 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4 What is the hundreds digit of 241746? 7 What is the hundreds digit of 408208? 2 What is the units digit of 3873074? 4 What is the hundreds digit of 164112? 1 What is the thousands digit of 43880? 3 What is the thousands digit of 706887? 6 What is the hundred thousands digit of 440817? 4 What is the thousands digit of 22974258? 4 What is the millions digit of 1635565? 1 What is the tens digit of 793170? 7 What is the tens digit of 356629? 2 What is the millions digit of 3588688? 3 What is the hundreds digit of 14496? 4 What is the tens digit of 145066? 6 What is the hundred thousands digit of 828625? 8 What is the units digit of 516458? 8 What is the ten millions digit of 31944408? 3 What is the ten thousands digit of 6391429? 9 What is the tens digit of 5766890? 9 What is the hundreds digit of 3759795? 7 What is the hundred thousands digit of 428093? 4 What is the ten thousands digit of 377313? 7 What is the thousands digit of 4917094? 7 What is the hundreds digit of 7735? 7 What is the hundreds digit of 11133800? 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5 What is the tens digit of 1973770? 7 What is the thousands digit of 172678? 2 What is the ten thousands digit of 298972? 9 What is the ten thousands digit of 4080119? 8 What is the ten thousands digit of 29537? 2 What is the hundred thousands digit of 4166001? 1 What is the units digit of 218237? 7 What is the hundreds digit of 513901? 9 What is the hundreds digit of 132505? 5 What is the millions digit of 17165385? 7 What is the ten thousands digit of 9450441? 5 What is the ten thousands digit of 85700? 8 What is the thousands digit of 507989? 7 What is the thousands digit of 3147761? 7 What is the units digit of 195533? 3 What is the thousands digit of 4879705? 9 What is the units digit of 109874? 4 What is the units digit of 20384063? 3 What is the tens digit of 4452447? 4 What is the units digit of 484462? 2 What is the ten thousands digit of 308920? 0 What is the thousands digit of 344465? 4 What is the ten thousands digit of 5314330? 1 What is the units digit of 183042? 2 What is the millions digit of 9522021?
{ "pile_set_name": "DM Mathematics" }
Which is the smallest value? (a) -32 (b) 1/6 (c) 64/501 a Which is the fourth biggest value? (a) -2/7 (b) 1.9 (c) -16283 (d) 4 (e) -1/3 e What is the smallest value in 4, 0.13, 3126, -3, -0.3, 0.1, -2? -3 Which is the smallest value? (a) -5/14 (b) 10 (c) 14/111 (d) -0.04 a What is the smallest value in -0.2, 4, 230, 0.2, 3048? -0.2 What is the smallest value in -0.1, 12, 46/217, 0.17? -0.1 Which is the sixth biggest value? (a) 2/11 (b) 5 (c) 0.02 (d) 0.3 (e) -182 (f) 153 e What is the second smallest value in 1612, -4, -3019? -4 Which is the sixth biggest value? (a) 10 (b) -1 (c) 0.1 (d) -3/14 (e) -24 (f) 0.2 (g) 0.5 b Which is the third biggest value? (a) -0.1 (b) -316 (c) -1.2 (d) 1/8 (e) 1.2 (f) 0 (g) -10 f What is the smallest value in 47, 0.01, 0.1, 8, -1/40? -1/40 What is the second biggest value in -9/2, -1, -3/4, -21, -5/6, 0.09, -0.7? -0.7 What is the smallest value in -5, 3177072, -1/6? -5 What is the fourth biggest value in 0, -0.06, 1/6, 114/5, -1, -1/9, 0.11? 0 Which is the sixth biggest value? (a) -0.2 (b) -1/10 (c) -1.78 (d) 0 (e) 56 (f) 53 c What is the fourth smallest value in -0.0264, 4/9, 27, -44? 27 Which is the seventh biggest value? (a) -3 (b) -4 (c) -5747 (d) 8 (e) 1/18 (f) -2/9 (g) -1/4 c What is the biggest value in 0.1, 11/4, 15, 178, 1.8? 178 What is the biggest value in 2/13, -8, -2.4071? 2/13 Which is the fourth smallest value? (a) -0.4 (b) -0.1 (c) -1 (d) 0.13 (e) -1.03601 (f) 4 b What is the smallest value in -4, 1/40, 4, 0, -31, -2/65, 4/3? -31 Which is the third biggest value? (a) -88 (b) 116.4 (c) 19 a What is the biggest value in -15, 2.5, 0, 4, 3, -4/5, 7? 7 What is the second biggest value in -5/2, -2, 2/9, 7/59, -3? 7/59 What is the third biggest value in -1.043, 4589, -1/6? -1.043 What is the biggest value in 4, 0.003, -881? 4 Which is the fourth biggest value? (a) 4 (b) 5 (c) 318 (d) -0.5 (e) -5 (f) 0.5 (g) -0.0088 f Which is the second biggest value? (a) 1/7 (b) -358/291 (c) 131 a What is the smallest value in 305, -21, -280? -280 Which is the biggest value? (a) 6/7 (b) 20 (c) -0.6167 (d) -2/3 b What is the third smallest value in 3535, 1, 3, -130/29, -4, 0.1, -0.3? -0.3 What is the second smallest value in -2, 4/15, -1, -1/9, -44? -2 What is the third smallest value in 0.1, 0.0777117, 2/7? 2/7 What is the smallest value in 0, 4, 927, -5.3, -3, -0.05? -5.3 Which is the biggest value? (a) 0.3 (b) 65 (c) 2259863 c Which is the smallest value? (a) 722 (b) -0.306 (c) 22 b Which is the sixth biggest value? (a) -15523 (b) 5 (c) 1 (d) 1.9 (e) -5 (f) -3/8 a Which is the fifth smallest value? (a) -1/7 (b) 46.4 (c) 0.1 (d) -7.2 (e) 0.3 b What is the third biggest value in 0, -1, -6/5, -83, -16, -1/6? -1 What is the sixth smallest value in 5, 0, 0.1, 17150, 25, -0.3? 17150 Which is the third biggest value? (a) 0.02 (b) 3.6 (c) -1/3 (d) -18 (e) -3 (f) -5 (g) 1/6 a Which is the third smallest value? (a) -1/5 (b) 2/17 (c) 3637186 c What is the second biggest value in -2/9, 0.7, 135893/5, 5? 5 What is the second smallest value in -3/1777, 13, -1, -0.01? -0.01 Which is the second smallest value? (a) -0.0358 (b) 3 (c) 726 b What is the second smallest value in 0.07, 0.2, 11, 2.01979? 0.2 Which is the third biggest value? (a) 1.79 (b) 210 (c) -35 (d) 4 a What is the biggest value in 1/3, -3, 38, -180, -1/5, 4? 38 Which is the third smallest value? (a) -0.08 (b) 2 (c) 4 (d) -1 (e) 0.1 (f) 0 (g) 2708 f Which is the third smallest value? (a) -4506 (b) -18.2 (c) 2 c What is the second biggest value in -1.62, 29, -3, 3, -36? 3 What is the sixth smallest value in -4, -510.17, 0, 1/6, 1, -0.02? 1 Which is the third smallest value? (a) 8 (b) 11852 (c) 0.168 b Which is the third smallest value? (a) 11 (b) -5688 (c) 342 c What is the third smallest value in -1049, 1/4, 0.1, -0.1, 0, 1.15? 0 Which is the second biggest value? (a) -0.3 (b) -0.03049 (c) 1 (d) 4/53 (e) -31 d What is the second biggest value in -1, -2, -119784? -2 Which is the third biggest value? (a) 0.3 (b) 5 (c) 2/5 (d) -5 (e) 8 (f) 14/9 f What is the fifth biggest value in 11, 18/17, 925/6, 0.5, 0? 0 Which is the biggest value? (a) -30 (b) 14 (c) -0.5 (d) -11/45 (e) 5/41 b What is the third biggest value in 45, -35, 28, 0.1, 3/4? 3/4 What is the fourth biggest value in -47, 0, -24, 26, 3? -24 What is the smallest value in 0.347469, 0.5, 0.1, -5? -5 What is the sixth smallest value in 0.07, 4, 3, -9, -5, -501, 2? 3 What is the fourth smallest value in -20/9, 1, -4/17, 0.01, 4/5, 5, -0.5? 0.01 Which is the third biggest value? (a) 1/4 (b) -1/3 (c) 0.05 (d) 8 (e) -0.02919 c Which is the sixth biggest value? (a) -5 (b) -14 (c) -149 (d) 0.13 (e) 4 (f) -20 (g) 5 f What is the sixth biggest value in -13, -2/5, -83, 7, -0.3, -24? -83 Which is the smallest value? (a) 21677 (b) 2442 (c) -2/9 c What is the third biggest value in -420134/37, -2/13, 1, 0.02? -2/13 What is the third biggest value in -4/237, -4, -0.16, -1, -17/10? -1 What is the smallest value in 2/11, -1/4, -214907, -3? -214907 Which is the sixth biggest value? (a) -3 (b) 0.3 (c) 9022 (d) 1 (e) 24 (f) -0.04 (g) -4/3 g What is the biggest value in -1.2, 1/60, -270, 2? 2 Which is the second biggest value? (a) 0.3939 (b) -0.53 (c) -0.04 (d) -2/11 (e) -4 (f) -2/49 c What is the third smallest value in -16558, 38, -50? 38 What is the seventh biggest value in 0.1, 4, 0.2, -0.2, -180116, -8, -2? -180116 What is the smallest value in -27/187, 0.4, -33131? -33131 What is the fourth biggest value in -0.044165, 1, 3, -92? -92 Which is the fourth smallest value? (a) 0.4 (b) 5 (c) 17460/17 (d) 1 c Which is the biggest value? (a) -4 (b) 6 (c) 3025260 c What is the second biggest value in 1/8, 1307, 27.1? 27.1 What is the fifth smallest value in 1/3, 1/23, 5, -3, -57, 3555? 5 Which is the smallest value? (a) -2/7 (b) 84408 (c) -14.9 c What is the fifth smallest value in 1, 5, 0, 4, -0.5, -11, 0.27? 1 What is the biggest value in -5/3, 143, -2/17, -3/11, 8, -78, 1? 143 What is the third smallest value in -18, -1/8, 29186? 29186 Which is the smallest value? (a) 0.4 (b) -6 (c) -4.5 (d) 8 (e) 863 b Which is the fifth smallest value? (a) -19 (b) -2/9 (c) -17 (d) -69 (e) -4 b What is the fifth smallest value in -0.4, -2/11, 3, -115, -2, 0.65? 0.65 What is the second biggest value in -63, -61, -2/7, 21? -2/7 What is the third biggest value in -1.6, 5, -345/76, 3? -1.6 What is the third smallest value in -0.036, -1, -0.3, -3/8, -2, -13, -436? -2 What is the second smallest value in 1/2, -1174, 9901, 0.1? 0.1 Which is the third biggest value? (a) 214416 (b) -2 (c) 0.4 (d) -75.5 b Which is the fourth smallest value? (a) -2694/19 (b) 3 (c) 4 (d) 5 (e) -8 (f) 3/4 (g) -1 f Which is the third biggest value? (a) -1 (b) -4 (c) -85 (d) 13408 (e) 2 a Which is the biggest value? (a) 12.32 (b) 0.101 (c) 1 a Which is the fifth smallest value? (a) -4 (b) -1 (c) -0.2 (d) -2/7 (e) -2/967 (f) 16 e What is the biggest value in -0.2, 13/63, 0.08, 37/9, 1/32? 37/9 Which is the sixth smallest value? (a) -1 (b) -1/4 (c) 3.5687 (d) -10 (e) -4 (f) -11/5 c Which is the biggest value? (a) 70440 (b) 2 (c) 2.51 (d) 0.2 a What is the smallest value in 0, -61, 477, -1/8? -61 Which is the third biggest value? (a) -1/3 (b) 54/11 (c) -26 (d) 2/999 (e) -8 a What is the smallest value in 52/53, -0.43, -0.4, 1, -5, -1? -5 Which is the second biggest value? (a) -14 (b) 14/141 (c) 2169 b What is the second biggest value in -0.06, 3, 2, -7, 14721? 3 What is the seventh smallest value in 0, -9, 1/16, 19, -5, -1/4, -35? 19 Which is the third biggest value? (a) 0.052 (b) -1.71 (c) 0.01 (d) -97 b What is the smallest value in -2, 3, -66.6, -319? -319 Which is the second smallest value? (a) 62639 (b) -5/6 (c) -0.88 b Which is the third smallest value? (a) -28031 (b) 5 (c) -10.2 b Which is the fifth smallest value? (a) -1/2 (b) -3 (c) 41569 (d) -0.1 (e) -4 c What is the third smallest value in -0.5, 4572862, 0.1, 5? 5 What is the fourth biggest value in -2/3, 4, 4/5, 9.6, 5, 5.4, -1? 4 Which is the second biggest value? (a) 843 (b) 0.15
{ "pile_set_name": "DM Mathematics" }
fy ((d/(d*d/(d*d**(10/9))))/(d*d**(-28))*(d*d**(-41))/d*((d**(1/5)*d)/d)/d)**(9/2) assuming d is positive. d**(-308/5) Simplify (s**5/s**(2/39)*s**(-1)*s**(-4/5)/s)**(-6) assuming s is positive. s**(-838/65) Simplify ((h**(1/4))**(37/3)/(h**(1/5)/(h/(h*(h/((h**(2/3)/h)/h))/h))))**26 assuming h is positive. h**(403/10) Simplify (k**5/(k/k**(-1/2)*k))**(-14)/((k**2)**21)**(-23) assuming k is positive. k**931 Simplify (((i**(-15)/(i*i**6/i))/(i**(-2/3)/i)**47)**(-2/9))**(2/33) assuming i is positive. i**(-688/891) Simplify (f**(-2/23)*f/(f*f**(-6)/f*f*f)*f**7/((((f**(-3/2)/f)/f)/f)/f))/((f**(-1/6)*f/((f**(2/17)*f)/f)*f)/(f**(-1/3))**47) assuming f is positive. f**(12/391) Simplify ((((g/(g**(2/9)/g*g)*g*g)/g)/(g*g**(11/5)))/(g/g**(4/3))**(-48))**(5/3) assuming g is positive. g**(-784/27) Simplify ((q**(-1/2))**(-4/13)/(q**2)**(-5/12))/((q**(-3))**(-5))**21 assuming q is positive. q**(-24493/78) Simplify ((p/(p/(p/(p*p*p**(-3/7)*p)))*p)**38/(p**(-28)*p*p**20))**(3/2) assuming p is positive. p**(-309/14) Simplify (((t**(-1)/(t*t/(t/(t*t**(-8)/t))))/((t/t**3)/t*t)**18)**(-44))**(-27) assuming t is positive. t**49896 Simplify ((a**(-11)/a)/a*a**(-27)*a**(-13/6)/a**9)**(-13) assuming a is positive. a**(3991/6) Simplify (g/g**(-25)*g*g**32/g)/(g**(-6))**(-8) assuming g is positive. g**10 Simplify (n*n**(-6)/n)/(n*n/n**(-7))*(n*n**(-3))/((n*n*n**(-7))/n)*((n**9/n)/(n/n**6))/(n**0)**(-43) assuming n is positive. n**2 Simplify (((u*u**22*u)/(u/((u**(-21)/u)/u)*u*u))/(u**(-7))**(-8/9))**(-1/3) assuming u is positive. u**(74/27) Simplify o*o**(-1/9)*((o/o**(-1/7))/o)/o*o**4/(o*o**(1/4))*o**(-1/2)/o**7*o**(-1)*o*o*(o**(-5)/o)/o assuming o is positive. o**(-2701/252) Simplify ((o**(-4/13)*o)/(o**(1/19)/o))/(o**24*o**(-13/4)*o) assuming o is positive. o**(-19869/988) Simplify ((m**7*m/m**(1/39))/((m*m**10)/(m/((m**(-5)/m)/m))))**(-12/7) assuming m is positive. m**(-776/91) Simplify ((((k**(-1/4)/k)/k)/((k/(k/(k/(k*k**(-2/5)))*k))/k)*((k/k**(-1))/k*k)**42)**25)**(-9/7) assuming k is positive. k**(-75015/28) Simplify ((k**(-5)/k)/k**(2/11))/(k/(k/(k*k*k**(-1/5))*k)*k*k*k*k**5*k)*(k/(k**(-4/11)*k)*k*k/k**(1/22))**(-19) assuming k is positive. k**(-6603/110) Simplify (c**(-2/7))**(1/21)/(c/(c/(c*c*c**(2/11)*c)*c)*c*c**(1/3)*c*c*c)*(c/c**1*c**2*c)**(-2/13) assuming c is positive. c**(-48981/7007) Simplify (n**4/(n/(n/n**(-2/3))))**(-1/8)/(n**(-1/6)/(n**2/n)*(n**0)**(-12/7)) assuming n is positive. n**(7/12) Simplify (((y**(-1/2)/y)**(3/26)/((y**(-1)*y)/(y**(1/4)/y)))**(-15))**(1/13) assuming y is positive. y**(180/169) Simplify ((((d*d/d**(-2/3)*d)**(-16))**(-8))**(-4/13))**(1/11) assuming d is positive. d**(-512/39) Simplify (((z*z/z**38*z**35)**(-2/119))**(1/6))**5 assuming z is positive. z**(5/357) Simplify (t*t**(-21)*t*t/(t*t/((t*t**10)/t))*((t**(-26)/t*t)/t)/(t*t/t**(2/9)))**(-42) assuming t is positive. t**(4886/3) Simplify ((((y/y**(-1/3))**18)**(-35))**(-50))**(4/21) assuming y is positive. y**8000 Simplify ((d/(d*d/d**14))/((d/((d/d**14)/d))/d))**37/(((d*(d/(d*(d**(3/7)*d)/d))/d)/d)**(-27/2))**(1/59) assuming d is positive. d**(-15416/413) Simplify ((u**(2/17)*u**(1/5)/u)/((((u/(u*u*u/u**(-5)))/u)/u)/u**(2/13)))/(u**(-4)/u**(-3/8))**(-1/44) assuming u is positive. u**(3263027/388960) Simplify (k**(5/6)/(k**8*k))**15*(k**3/(k/k**(-1/2)))/(k**(-1/5)/((k**7*k)/k)) assuming k is positive. k**(-569/5) Simplify (((g*g*g*g**1*g*g)/g**(-4/9))**(2/55))**42 assuming g is positive. g**(1624/165) Simplify (((n*n**(-1/3))/n**(18/5))/((n/(n*n**(-19))*n)/n**7))**(-25/3) assuming n is positive. n**(1195/9) Simplify (v*v**(-2/49)/v)/v**(2/65)*(v**19)**(-5) assuming v is positive. v**(-302803/3185) Simplify (((w**(-1/2)/w)/w)**(-3/14))**(6/23)*(w**(1/7)/(w**(-2)*w))/((w*w**(-1/3)*w)/w*w*w)**(-8/7) assuming w is positive. w**(4183/966) Simplify (((u*u*u**(2/5)*u)/u)**34/(u/(u/(((u*u**(-1))/u*u)/u)*u)*u*u*u)**(1/4))/((u*u**(-2)/u*u*u*u)**(17/2))**(-47) assuming u is positive. u**(9617/20) Simplify (r**0/((r*r*r*(r*r**(-1/7)*r)/r*r*r*r*r)/r*r)*(r/r**(3/7))/r**(-7))/(r**11*r*r*r**(1/15))**(1/6) assuming r is positive. r**(-776/315) Simplify ((a*(a/((a*a**7)/a))/a)/a**(2/21))**(-19/4)/((a*a**(1/5)*a*a**(-1))/(a/a**(-1))**(-3/10)) assuming a is positive. a**(2851/105) Simplify ((v*v*((v**(2/21)*v)/v)/v*v)/(v**(-12)/v))**(-31/5)*v**(2/23)*v*v*v*v**(2/5)*v*v**(-1/7)*v**(3/2) assuming v is positive. v**(-12109/138) Simplify ((t*t*t*t/(t**(-3/4)*t)*t)**18)**(-1/10)*t**4/t**(2/15)*(((t*t**(-1)*t)/t)/t)/(t*t**8*t*t*t) assuming t is positive. t**(-1061/60) Simplify ((p**(1/2)/p)**(-2/65)*(p/p**(-10))/p**(-17))**(-22) assuming p is positive. p**(-40062/65) Simplify ((r**(-2/7))**(-5/4)/(r/((r/(r**(1/2)*r))/r*r)*r*(r/r**7)/r))/(((r/(r/r**5))/(r*r**(-1/5)*r*r))/(r**(-4)*r*r**(-3/7))) assuming r is positive. r**(-27/35) Simplify (p**(-17)/p**1*(p**(-2/39))**29)**(1/4) assuming p is positive. p**(-190/39) Simplify (a/a**15)**5/((a*a*(a*a**7)/a)/a*a*a**23) assuming a is positive. a**(-102) Simplify ((f**(-2))**30)**(6/11)*(f/((f*(f**(-7/5)/f)/f)/f))/(f**4/f*f*f)*(f/(f/(f*f/(f*f**(-1)/f))*f*f))**(-23/2) assuming f is positive. f**(-4931/110) Simplify (l*l**(-2/7))**27/(l**(2/7)*l)**(2/7)*(l/(l*l*l*l**(2/19))*l*l*l*l/(l/(l/l**(-3/5)))*l)**28 assuming l is positive. l**(543569/4655) Simplify ((n**(-4/3)/n*n)/n*(n*n**(9/4)*n)/n)**(10/3)*(n/n**(-2/15)*n/((n*n**(-6/5))/n))**(-3) assuming n is positive. n**(-125/18) Simplify (((u*u/u**(-7)*((u*u*(u*u/u**(-4/3))/u*u)/u)/u*u)**(-48))**(-32))**(-1) assuming u is positive. u**(-20480) Simplify (y/(y*y**24*y))/(y*y**(3/2))*(y**23)**(-26) assuming y is positive. y**(-1251/2) Simplify (u**(2/11)/(u/(u/(u/u**(-3/8)))*u))**(-4/5)/((u**(-1))**15*(u**(-2/7)/u*u)**(1/20)) assuming u is positive. u**(6456/385) Simplify l**(1/6)*l*l**(-3/5)*l*(l*l*l/l**(1/4))/l*l*l/l**(4/9)*(l**(-1/2))**14*(l*(l*l*l/(l/l**6)*l)/l)/(l**(1/2)*l) assuming l is positive. l**(967/180) Simplify ((b/(b/(b*b**5)))**(2/5)/(b*(b*b/(b**8/b)*b)/b)**(-3/23))**(-27) assuming b is positive. b**(-5832/115) Simplify (((o/(o**(1/27)*o)*o)/o**(-14/5))/((o**(2/11)*o)/o**21))**47 assuming o is positive. o**(1645846/1485) Simplify ((g*g*g**(-6/11)*g*g*g)**38*(g**(-11)*g)**(10/3))**(-24) assuming g is positive. g**(-35888/11) Simplify ((z/z**0)**(-1/9))**(5/12)/((z*z**4)/z**(5/4)*(z/(z**(-1)*z*z)*z)**(-1/2)) assuming z is positive. z**(-89/27) Simplify ((((t**(-8)*t*t)/(t/(t/(t/(t*t*t*t**5/t*t)))))/((t*t**(1/4))/t**(4/3)))**(-40))**(-2/15) assuming t is positive. t**(52/9) Simplify (p**(-20/9)/p*p*p/p**(-13/5)*p)/(p**41/(p**13/p)) assuming p is positive. p**(-1198/45) Simplify (((u**(-1)*u)**(-29)*(u/(u**(1/9)/u))/u**(1/5))**47)**(-9) assuming u is positive. u**(-3572/5) Simplify ((n*(n*n/((n/(n/(n/n**1)*n*n))/n*n))/n*n)**8)**(-34)/(n*n**(-1/5)*n**3*n*n)**(-20) assuming n is positive. n**(-1244) Simplify (r/(r/((r/(r/(r*r*r/(r**(-3/10)*r))*r))/r)*r))/r**42*(r*r**(-48)*r)/r**35 assuming r is positive. r**(-1237/10) Simplify (b**(1/7)/(b/(b**(4/7)/b*b))*(b*b/(b/b**13*b))/(b**0/b))**(4/31) assuming b is positive. b**(384/217) Simplify (((r/r**15)/r**(-1))/(r**2*r*r/r**7*r))**36 assuming r is positive. r**(-396) Simplify (c**(-2/11)/(c**(-3/7)/c))**(-12/13)*(c*c**(2/9)/c)/c*(c/(c**1*c)*c)/c*(c/(c*c**(-2/3)*c))**24 assuming c is positive. c**(-98456/9009) Simplify (t*t**(-19))/t*(t*t**(13/4))/t*t*t**6*t**(-4/37) assuming t is positive. t**(-1311/148) Simplify s*s/s**(-2/131)*s**(-23)*((s**(-1/6)/s)/s)/s*s*s**(10/9)*s assuming s is positive. s**(-49613/2358) Simplify (k**(-1)*k)/(k/k**6)*(k/((k**(-1)*k)/k))**(10/7)*(k**(2/15)*k/k**(-2/3)*k)/((k*k**2)/(k**(-8)*k)) assuming k is positive. k**(23/35) Simplify ((g**(-3/2))**(-1/12)/(((g/(g**4*g))/g)/g)**(2/9))**(2/101) assuming g is positive. g**(35/1212) Simplify (d/(d*d**(-4)*d*d)*d**(-20)*d**(-10/3)/d*d**(-12/13))**(1/45) assuming d is positive. d**(-907/1755) Simplify ((((q/(q**(1/2)*q))/(q**(-2/3)/q))**24)**11)**(-1/3) assuming q is positive. q**(-308/3) Simplify ((q/(q/q**(-6)))**41/(q**(-2/11)/q*q**(-2/69)))**43 assuming q is positive. q**(-7989185/759) Simplify (g/(g*g**(1/6))*(g/g**(8/7))/g*g)**30*((g/(g/((g**(-5)/g)/g))*g)/(g/(g*g*g**(-5/7)*g)))**17 assuming g is positive. g**(-626/7) Simplify (((d**(2/7)*d*d)/d)**6)**(2/33)/((d**(2/7))**(-3/26))
{ "pile_set_name": "DM Mathematics" }
hat is the lowest common multiple of 24 and 4047? 32376 Calculate the lowest common multiple of 568 and 213. 1704 Calculate the common denominator of 75/14 and -39/734. 5138 What is the lowest common multiple of 606 and 20? 6060 Find the common denominator of 79/432 and -21/22. 4752 Find the common denominator of 65/42 and 7/48. 336 Find the common denominator of -137/816 and 65/32. 1632 What is the common denominator of 31/110 and 26/5? 110 Calculate the smallest common multiple of 20 and 692. 3460 Calculate the common denominator of 49/9 and 115/18. 18 What is the lowest common multiple of 1659 and 5688? 39816 What is the smallest common multiple of 16 and 32? 32 What is the common denominator of 58/9 and -103/18? 18 What is the common denominator of -36/8107 and 41/7? 56749 What is the common denominator of -59/32 and -37/68? 544 Calculate the common denominator of -113/360 and 75/14. 2520 Find the common denominator of -53/35 and -73/70. 70 Find the common denominator of -5/972 and -19/90. 4860 Find the common denominator of 127/150 and 73/465. 4650 Calculate the least common multiple of 1368 and 276. 31464 What is the least common multiple of 570 and 140? 7980 Calculate the lowest common multiple of 9 and 783. 783 Calculate the common denominator of 67/16 and -71/120. 240 Find the common denominator of 31/27 and -11/9. 27 What is the smallest common multiple of 52 and 50? 1300 Calculate the lowest common multiple of 30 and 75. 150 What is the common denominator of 89/585 and 19/2340? 2340 What is the lowest common multiple of 102 and 20? 1020 Calculate the least common multiple of 737 and 402. 4422 Calculate the common denominator of 77/472 and 127/60. 7080 What is the smallest common multiple of 238 and 70? 1190 Find the common denominator of -59/4175 and 1/225. 37575 Calculate the smallest common multiple of 55 and 88. 440 Calculate the smallest common multiple of 270 and 360. 1080 What is the lowest common multiple of 108 and 28? 756 What is the least common multiple of 3 and 16? 48 Calculate the common denominator of -39/212 and -61/265. 1060 What is the smallest common multiple of 1350 and 495? 14850 What is the common denominator of -43/100 and 13/1100? 1100 Calculate the least common multiple of 96 and 4032. 4032 Calculate the smallest common multiple of 24 and 294. 1176 What is the least common multiple of 144 and 64? 576 What is the smallest common multiple of 198 and 12? 396 Calculate the smallest common multiple of 10 and 21. 210 Find the common denominator of 62/9 and 12/17. 153 Calculate the common denominator of -125/6 and 59/1106. 3318 Calculate the common denominator of 21/8 and 79/16. 16 What is the common denominator of -53/3 and 49/1167? 1167 Calculate the lowest common multiple of 486 and 324. 972 Calculate the least common multiple of 22 and 216. 2376 Find the common denominator of -42/13 and -2/5. 65 What is the common denominator of -133/18 and -45/116? 1044 Calculate the common denominator of 4/175 and -55/4. 700 Calculate the lowest common multiple of 6 and 192. 192 What is the least common multiple of 126 and 59? 7434 Calculate the common denominator of -49/18 and -4/651. 3906 What is the smallest common multiple of 36 and 348? 1044 Find the common denominator of -93/4 and 25/544. 544 Calculate the common denominator of 81/2144 and -95/22. 23584 Find the common denominator of 34/8261 and 51/6008. 66088 Calculate the least common multiple of 90 and 150. 450 Calculate the smallest common multiple of 650 and 130. 650 What is the smallest common multiple of 308 and 36? 2772 Calculate the least common multiple of 51 and 438. 7446 What is the least common multiple of 12 and 519? 2076 Calculate the least common multiple of 502 and 2. 502 Calculate the least common multiple of 330 and 30. 330 Calculate the common denominator of -7/24 and 103/834. 3336 What is the least common multiple of 124 and 1860? 1860 Find the common denominator of 39/34 and 1/1954. 33218 What is the smallest common multiple of 312 and 72? 936 Calculate the least common multiple of 118 and 4. 236 What is the least common multiple of 101 and 5? 505 What is the least common multiple of 1078 and 858? 42042 Calculate the common denominator of 8/21 and 131/126. 126 Calculate the common denominator of -1/11 and -23/148. 1628 What is the lowest common multiple of 535 and 1177? 5885 What is the common denominator of 49/1902 and 109/6? 1902 Calculate the smallest common multiple of 45 and 276. 4140 What is the lowest common multiple of 70 and 50? 350 Calculate the common denominator of 68/99 and 161/2904. 8712 What is the least common multiple of 310 and 465? 930 Calculate the least common multiple of 35 and 40. 280 Find the common denominator of 79/20 and 61/78. 780 Calculate the lowest common multiple of 84 and 196. 588 What is the least common multiple of 48 and 102? 816 Calculate the smallest common multiple of 5548 and 876. 16644 What is the lowest common multiple of 265 and 90? 4770 Calculate the least common multiple of 7 and 8. 56 Calculate the common denominator of 79/10 and -27/100. 100 What is the common denominator of 49/702 and -31/3? 702 Find the common denominator of -34/27 and -79/792. 2376 Find the common denominator of -23/24 and 68/1647. 13176 What is the common denominator of 31/1820 and 109/3640? 3640 Calculate the common denominator of -32/99 and -1/45. 495 Calculate the common denominator of 27/20 and 5/116. 580 What is the common denominator of 109/8346 and -11/4? 16692 Find the common denominator of 16/639 and -49/10. 6390 Calculate the common denominator of 93/88 and -39/16. 176 Calculate the common denominator of 3/44 and -115/24. 264 Calculate the least common multiple of 20 and 56. 280 Find the common denominator of -34/27 and -61/51. 459 Find the common denominator of 76/45 and 31/45. 45 What is the smallest common multiple of 235 and 20? 940 What is the smallest common multiple of 3176 and 2382? 9528 What is the least common multiple of 52 and 884? 884 Calculate the lowest common multiple of 21 and 309. 2163 Find the common denominator of -1/114 and -95/144. 2736 What is the least common multiple of 57 and 247? 741 Calculate the least common multiple of 9 and 33. 99 Calculate the common denominator of 67/21 and 89/618. 4326 What is the smallest common multiple of 162 and 122? 9882 Calculate the least common multiple of 5 and 1925. 1925 What is the least common multiple of 315 and 4620? 13860 Calculate the smallest common multiple of 1632 and 612. 4896 Calculate the lowest common multiple of 24 and 144. 144 What is the common denominator of -55/832 and -115/1456? 5824 What is the common denominator of 33/70 and -58/75? 1050 Calculate the common denominator of -92/15 and 97/1080. 1080 Find the common denominator of 113/14 and 67/4466. 4466 What is the common denominator of 127/48 and 17/1544? 9264 Calculate the smallest common multiple of 288 and 339. 32544 What is the common denominator of 25/7 and 35/253? 1771 Calculate the common denominator of -33/4 and 59/110. 220 What is the least common multiple of 216 and 30? 1080 Find the common denominator of -17/18 and -70/3. 18 What is the smallest common multiple of 40 and 15? 120 What is the lowest common multiple of 546 and 210? 2730 Calculate the smallest common multiple of 378 and 12. 756 What is the common denominator of -21/95 and 23/260? 4940 Calculate the lowest common multiple of 153 and 833. 7497 Calculate the common denominator of -37/2394 and 163/180. 23940 What is the lowest common multiple of 30 and 585? 1170 Calculate the common denominator of 27/44 and -101/772. 8492 What is the common denominator of -53/68 and -31/952? 952 Calculate the lowest common multiple of 100 and 30. 300 Calculate the lowest common multiple of 120 and 210. 840 What is the lowest common multiple of 12 and 30? 60 What is the smallest common multiple of 536 and 10? 2680 Calculate the common denominator of -87/292 and 47/146. 292 Calculate the smallest common multiple of 136 and 4. 136 Find the common denominator of -53/54 and 8/123. 2214 What is the smallest common multiple of 20 and 14? 140 Calculate the smallest common multiple of 8 and 946. 3784 Calculate the least common multiple of 16 a
{ "pile_set_name": "DM Mathematics" }
. -1, -1/3, 0, 1 Let 2*r**5/3 + 16*r**4/3 + 26*r**3/3 - 44*r**2/3 - 64*r/3 + 64/3 = 0. Calculate r. -4, -2, 1 Let -16*z**5/5 + 13976*z**4/5 - 4071673*z**3/5 + 396307953*z**2/5 - 197391411*z/5 + 24642171/5 = 0. What is z? 1/4, 291 Determine a, given that 21*a**5/4 + 209*a**4/4 + 599*a**3/4 + 391*a**2/4 - 5*a = 0. -5, -4, -1, 0, 1/21 Factor 3*s**2 + 84*s - 87. 3*(s - 1)*(s + 29) Let t**5/9 - 158*t**4/9 + 8266*t**3/9 - 140132*t**2/9 - 165731*t/9 + 297754/9 = 0. Calculate t. -2, 1, 53 Factor 3*k**4/4 + 1035*k**3/4 + 3087*k**2/4 + 3081*k/4 + 513/2. 3*(k + 1)**3*(k + 342)/4 Factor a**4/6 - 550*a**3/3 - 367*a**2/2. a**2*(a - 1101)*(a + 1)/6 Determine g, given that -2*g**2/5 - 8*g - 72/5 = 0. -18, -2 Find j such that -2*j**2/19 + 9668*j/19 - 11683778/19 = 0. 2417 Determine f, given that 9*f**5 + 30*f**4 + 27*f**3 + 6*f**2 = 0. -2, -1, -1/3, 0 Factor -z**4/4 - 5*z**3/4 - 2*z**2 - z. -z*(z + 1)*(z + 2)**2/4 Factor l**5 + 16*l**4 + 60*l**3 - 64*l**2 - 256*l. l*(l - 2)*(l + 2)*(l + 8)**2 Suppose -4*g**2 + 228*g - 648 = 0. Calculate g. 3, 54 Let -2*p**3 + 40*p**2 - 182*p = 0. What is p? 0, 7, 13 Find v such that -2*v**4/3 - 4*v**3/3 + 2*v**2/3 + 4*v/3 = 0. -2, -1, 0, 1 Factor -2*t**5 + 189*t**4 - 4512*t**3 + 2209*t**2. -t**2*(t - 47)**2*(2*t - 1) Factor q**4 + 9*q**3 + 8*q**2. q**2*(q + 1)*(q + 8) Factor -2*t**4/5 + 2*t**3 + 2*t**2/5 - 2*t. -2*t*(t - 5)*(t - 1)*(t + 1)/5 Suppose o**4/4 + o**3/2 - 27*o**2/4 + 13*o - 7 = 0. What is o? -7, 1, 2 Factor -2*r**4/9 - 118*r**3/9 - 760*r**2/3 - 13600*r/9 + 16000/9. -2*(r - 1)*(r + 20)**3/9 Factor 3*x**4/4 + 3*x**3 - 351*x**2/4. 3*x**2*(x - 9)*(x + 13)/4 Find z, given that -3*z**3/8 + 69*z**2/8 - 429*z/8 + 363/8 = 0. 1, 11 Suppose -s**4 - 7*s**3 + 144*s**2 = 0. What is s? -16, 0, 9 Factor b**5 - b**4 - 27*b**3 + 77*b**2 - 74*b + 24. (b - 4)*(b - 1)**3*(b + 6) Factor 2*y**4/3 + 2*y**3/3 - 8*y**2/3 - 8*y/3. 2*y*(y - 2)*(y + 1)*(y + 2)/3 Suppose -520*i**2 + 285*i + 235 = 0. What is i? -47/104, 1 Factor -22707*n**2/2 + 522*n - 6. -3*(87*n - 2)**2/2 Determine v, given that 3*v**5 - 18*v**3 - 24*v**2 - 9*v = 0. -1, 0, 3 Factor 5*r**2 + 320*r + 5120. 5*(r + 32)**2 Factor -n**5 - 81*n**4 + 91*n**3 + 749*n**2 + 906*n + 328. -(n - 4)*(n + 1)**3*(n + 82) Factor 10*r**5/9 + 28*r**4/3 + 64*r**3/3 + 64*r**2/9. 2*r**2*(r + 4)**2*(5*r + 2)/9 Factor -2*f**3/9 + 20*f**2/9. -2*f**2*(f - 10)/9 Factor -2*z**2/7 - 2*z/7 + 40/7. -2*(z - 4)*(z + 5)/7 Solve 2*u**4/3 - 16*u**3/3 + 46*u**2/3 - 56*u/3 + 8 = 0 for u. 1, 2, 3 Determine t so that 3*t**3/5 + 6*t**2 - 39*t/5 - 66/5 = 0. -11, -1, 2 Factor 5*q**3 + 5*q**2 - 480*q - 1980. 5*(q - 11)*(q + 6)**2 Factor -10*m**3 - 15*m**2 + 115*m + 60. -5*(m - 3)*(m + 4)*(2*m + 1) Let 2*c**2/9 - 2*c/9 - 4/9 = 0. What is c? -1, 2 Solve 2*r**4/3 - 22*r**2/3 - 12*r - 16/3 = 0. -2, -1, 4 Determine v so that -25*v**5/6 - 190*v**4/3 - 323*v**3 - 1660*v**2/3 + 275*v/6 + 250 = 0. -5, -4/5, 3/5 Suppose 5*x**2 - 370*x + 6845 = 0. Calculate x. 37 What is l in -4*l**4 + 202*l**3 - 3366*l**2 + 17918*l + 9826 = 0? -1/2, 17 Factor 4*w**4 - 156*w**3 + 1056*w**2 + 9680*w. 4*w*(w - 22)**2*(w + 5) Factor p**2 - 4326*p + 4678569. (p - 2163)**2 Determine x, given that 2*x**2/7 + 160*x + 1118/7 = 0. -559, -1 Determine z so that 4*z**2/3 - 20*z + 104/3 = 0. 2, 13 Find n, given that 11*n**4/3 + 328*n**3/3 + 259*n**2/3 - 58*n/3 = 0. -29, -1, 0, 2/11 Factor 2*b**3/3 + 13*b**2/3 - 26*b/3 - 16/3. (b - 2)*(b + 8)*(2*b + 1)/3 Solve -2*t**5 + 46*t**4/5 - 84*t**3/5 + 76*t**2/5 - 34*t/5 + 6/5 = 0. 3/5, 1 Determine b, given that -2*b**3/5 - 12*b**2/5 - 22*b/5 - 12/5 = 0. -3, -2, -1 Factor -4*i**4 - 17232*i**3 - 18576088*i**2 - 37100496*i - 18541636. -4*(i + 1)**2*(i + 2153)**2 What is n in -5*n**2 + 7535*n - 15050 = 0? 2, 1505 Determine u so that -7*u**5/10 - 23*u**4/10 + 81*u**3/5 - 74*u**2/5 - 28*u/5 = 0. -7, -2/7, 0, 2 Factor p**2 - 43*p + 390. (p - 30)*(p - 13) Find n such that -2*n**2/3 + 28*n + 86/3 = 0. -1, 43 Factor -5*v**4 + 15*v**3 + 65*v**2 - 75*v. -5*v*(v - 5)*(v - 1)*(v + 3) Factor 2*x**5/9 + 10*x**4/9 - 28*x**3/9. 2*x**3*(x - 2)*(x + 7)/9 Factor q**2/5 - 106*q/5. q*(q - 106)/5 Suppose -2*t**2 - 34*t - 132 = 0. What is t? -11, -6 Factor -4*w**2/7 - 20968*w/7 - 27478564/7. -4*(w + 2621)**2/7 Factor 4*s**2/7 - 15248*s/7 + 14531344/7. 4*(s - 1906)**2/7 Find w, given that 12*w**5 + 140*w**4 - 768*w**3 + 1008*w**2 - 256*w = 0. -16, 0, 1/3, 2 Find y such that -y**2/4 + 46*y - 2116 = 0. 92 Factor 3*c**3/7 - 81*c**2/7 - 3*c/7 + 81/7. 3*(c - 27)*(c - 1)*(c + 1)/7 Suppose 3*a**3 - 6*a**2 + 3*a = 0. Calculate a. 0, 1 Factor -2*x**2/13 + 5520*x/13 - 3808800/13. -2*(x - 1380)**2/13 Let 3*v**4/4 + 273*v**3/4 + 651*v**2/2 + 258*v = 0. Calculate v. -86, -4, -1, 0 What is y in y**2/2 - 7*y/2 - 15 = 0? -3, 10 Solve g**5 + 7*g**4 - g**3 - 7*g**2 = 0 for g. -7, -1, 0, 1 Factor 3*h**5/5 + 12*h**4/5 - 36*h**3/5 - 162*h**2/5 + 81*h/5 + 486/5. 3*(h - 3)*(h - 2)*(h + 3)**3/5 Factor 2*p**4/3 + 4*p**3/3 - 56*p**2 - 240*p. 2*p*(p - 10)*(p + 6)**2/3 Factor -d**2 + 398*d/3 - 88. -(d - 132)*(3*d - 2)/3 Find h such that -4*h**5 + 112*h**4 - 784*h**3 = 0. 0, 14 Find o such that o**5/3 + 7*o**4/3 + 17*o**3/3 + 17*o**2/3 + 2*o = 0. -3, -2, -1, 0 Let -4*m**3 + 2360*m**2 + 4732*m + 2368 = 0. Calculate m. -1, 592 Let 105*q**5 - 355*q**4 + 415*q**3 - 165*q**2 - 20*q + 20 = 0. What is q? -2/7, 2/3, 1 Find y such that -y**2/2 + 57*y - 113/2 = 0. 1, 113 Factor d**3 + 136*d**2 + 135*d. d*(d + 1)*(d + 135) Determine x so that -2*x**3 + 246*x**2 + 498*x + 250 = 0. -1, 125 Factor -3*f**3 - 18*f**2 + 27*f + 42. -3*(f - 2)*(f + 1)*(f + 7) Find v such that -v**2/3 - 16*v/3 + 12 = 0. -18, 2 Factor -4*b**4 - 16*b**3 + 108*b**2 + 648*b + 864. -4*(b - 6)*(b + 3)**2*(b + 4) Factor 2*y**4 + 36*y**3 + 184*y**2 + 348*y + 198. 2*(y + 1)*(y + 3)**2*(y + 11) Find m, given that 2*m**4 - 22*m**3/7 + 2*m**2/7 + 6*m/7 = 0. -3/7, 0, 1 Determine w so that -5*w**3/3 + 590*w**2/3 - 2825*w/3 = 0. 0, 5, 113 Let -27*q**5/11 + 339*q**4/11 + 160*q**3/11 - 52*q**2/11 = 0. Calculate q. -2/3, 0, 2/9, 13 Let -13*r**5/3 + 8*r**4 + 43*r**3/3 - 98*r**2/3 + 12*r + 8/3 = 0. Calculate r. -2, -2/13, 1, 2 Find y such that 4*y**4 + 8*y**3 - 8*y - 4 = 0. -1, 1 Factor h**4 + 383*h**3 + 48768*h**2 + 2048000*h - 2097152. (h - 1)*(h + 128)**3 Suppose -3*a**2 + 1056*a = 0. What is a? 0, 352 Factor -k**2 + 203*k. -k*(k - 203) Suppose 40*r**5 - 108*r**4 + 40*r**3 + 36*r**2 - 8*r = 0. What is r? -1/2, 0, 1/5, 1, 2 Suppose 2*d**3/15 - 2*d**2/3 + 4*d/5 = 0. Calculate d. 0, 2, 3 Factor -27*f**3 + 33*f**2 + 156*f - 36. -3*(f - 3)*(f + 2)*(9*f - 2) Factor -4*f**3/3 - 2812*f**2/3 + 4*f/3 + 2812/3. -4*(f - 1)*(f + 1)*(f + 703)/3 Find o such that -o**3/7 + 36*o/7 = 0. -6, 0, 6 Factor -5*v**2 + 2440*v - 7275. -5*(v - 485)*(v - 3) Determine v, given that v**3 - v**2 - 6*v = 0. -2, 0, 3 Let 3*z**5 - 18*z**4 + 15*z**3 + 72*z**2 - 108*z = 0. Calculate z. -2, 0, 2, 3 Determine x, given that -x**3/3 - x**2/3 + 2*x/3 = 0. -2, 0, 1 Determine x, given that x**5/7 - 51*x**4/7 + 426*x**3/7 + 10810*x**2/7 - 90459*x/7 - 985527/7 = 0. -9, 23 Solve s**3 + s**2 - 12*s = 0. -4, 0, 3 Factor -a**3/4 + 103*a**2/4 - 2703*a/4 + 2601/4. -(a - 51)**2*(a - 1)/4 Solve -4*t**2 + 188*t - 2040 = 0 for t. 17, 30 Factor -5*r**3 - 250*r**2 - 485*r - 240. -5*(r + 1)**2*(r + 48) Find g, given that 578*g**2/13 + 544*g + 1664 = 0. -104/17 Solve 4*j**4/3 + 8*j**3 + 44*j**2/3 + 8*j = 0 for j. -3, -2, -1, 0 Find c such that -2*c**2 + 3566*c/3 - 396 = 0. 1/3, 594 Let 2*a**5/3 + 2*a**4 + 2*a**3/3 - 2*a**2 - 4*a/3 = 0. What is a? -2, -1, 0, 1 Factor -j**2/3 + 39*j. -j*(j - 117)/3 Factor t**4 + 5*t**3 - 57*t**2 + 99*t. t*(t - 3)**2*(t + 11) Solve -2*h**2 - 190*h/7 - 324/7 = 0 for h. -81/7, -2 Factor -2*p**2/11 + 6*p - 180/11. -2*(p - 30)*(p - 3)/11 Find t, given that -t**4/5 + 269*t**3/5 - 18487*t**2/5 + 53067*t/5 = 0. 0, 3, 133 Solve -2*x**5/5 - 4*x**4/5 = 0. -2, 0 Suppose -4*b**5 + 40*b**4 - 96*b**3 - 64*b**2 + 448*b - 384 = 0. Calculate b. -2, 2, 6 Solve -38*q**2/5 - 8*q/5 = 0. -4/19, 0 Suppose 5*r**4/2 - 75*r**3/2 + 185*r**2 - 330*r + 180 = 0. Calculate r. 1, 2, 6 Suppose -4*x**5 - 36*x**4 - 68*x**3 + 116*x**2 + 312*x + 160 = 0. What is x? -5, -4, -1, 2 Determine g, given that g**4/6 + 316*g**3/3 + 49292*g**2/3 - 66992*g + 67416 = 0. -318, 2 Suppose -z**5/4 +
{ "pile_set_name": "DM Mathematics" }
letters picked without replacement from oieaeoic. Give prob of picking 2 o and 1 e. 1/28 Three letters picked without replacement from pddpddppduudpduddjdd. Give prob of picking 1 j and 2 u. 1/380 Two letters picked without replacement from {w: 1, q: 4, b: 2, n: 1}. What is prob of picking 1 q and 1 b? 2/7 What is prob of picking 2 x when two letters picked without replacement from {x: 13, m: 6}? 26/57 Three letters picked without replacement from erzldlz. Give prob of picking 2 l and 1 z. 2/35 What is prob of picking 1 b, 1 f, and 1 d when three letters picked without replacement from {b: 2, f: 1, m: 1, d: 2}? 1/5 Calculate prob of picking 1 i and 2 v when three letters picked without replacement from vvvvivvvvvvi. 9/22 Calculate prob of picking 4 v when four letters picked without replacement from nvttvqtvvqnvv. 3/143 What is prob of picking 2 h when two letters picked without replacement from {x: 9, h: 11}? 11/38 Three letters picked without replacement from rkoocfrkzzcz. What is prob of picking 1 c, 1 r, and 1 z? 3/55 Three letters picked without replacement from zwzzzzwwzwzzwwzzzwsz. What is prob of picking 2 w and 1 s? 7/380 What is prob of picking 1 n and 1 o when two letters picked without replacement from noonnvnnnnoononnnn? 20/51 What is prob of picking 2 i when two letters picked without replacement from {i: 13, g: 1, p: 1}? 26/35 Three letters picked without replacement from {c: 3, m: 1, k: 1, e: 2, s: 3}. What is prob of picking 1 s, 1 e, and 1 k? 1/20 Two letters picked without replacement from hyqyhyqqzcyry. Give prob of picking 1 y and 1 c. 5/78 Calculate prob of picking 2 c and 1 r when three letters picked without replacement from {g: 4, r: 5, c: 3}. 3/44 Two letters picked without replacement from flfflflfffffffffflff. What is prob of picking 2 l? 3/95 Four letters picked without replacement from {o: 4, y: 1, l: 8}. Give prob of picking 3 l and 1 y. 56/715 Two letters picked without replacement from {l: 1, a: 1, p: 1, i: 1, m: 1}. What is prob of picking 1 i and 1 l? 1/10 Three letters picked without replacement from {k: 3, o: 2, d: 7, f: 1, w: 1, g: 3}. Give prob of picking 1 f, 1 o, and 1 d. 7/340 Four letters picked without replacement from apajzppjfja. What is prob of picking 1 p, 1 a, and 2 j? 9/110 Calculate prob of picking 2 t and 1 b when three letters picked without replacement from btttttttttttttttttt. 3/19 Three letters picked without replacement from {c: 3, w: 3}. What is prob of picking 2 w and 1 c? 9/20 Two letters picked without replacement from {d: 10, w: 2, j: 2}. What is prob of picking 1 d and 1 w? 20/91 Two letters picked without replacement from {y: 5, o: 2}. What is prob of picking 2 y? 10/21 Three letters picked without replacement from ufuugfuuuuufutuuuut. Give prob of picking 1 t and 2 u. 52/323 What is prob of picking 1 q and 1 f when two letters picked without replacement from {q: 2, f: 1}? 2/3 Calculate prob of picking 1 y and 2 h when three letters picked without replacement from {y: 13, h: 3}. 39/560 What is prob of picking 1 o and 1 i when two letters picked without replacement from {o: 2, i: 5}? 10/21 What is prob of picking 1 b and 1 d when two letters picked without replacement from {q: 4, b: 3, e: 3, k: 3, w: 1, d: 2}? 1/20 Two letters picked without replacement from {w: 9, i: 9}. What is prob of picking 1 i and 1 w? 9/17 Four letters picked without replacement from {a: 3, k: 4, c: 4, g: 5}. Give prob of picking 1 g, 1 a, and 2 c. 9/182 Calculate prob of picking 2 k and 1 w when three letters picked without replacement from kwwwwkkkkkkwkwkkkwww. 33/76 Three letters picked without replacement from sdnnndsnsnnghnnsnn. What is prob of picking 1 d and 2 n? 15/136 Three letters picked without replacement from ctcctt. Give prob of picking 2 c and 1 t. 9/20 What is prob of picking 1 m and 1 c when two letters picked without replacement from {x: 1, j: 1, m: 1, y: 1, c: 1, l: 2}? 1/21 What is prob of picking 1 z and 1 w when two letters picked without replacement from zwwzz? 3/5 Two letters picked without replacement from yppmwymwy. What is prob of picking 1 w and 1 p? 1/9 Calculate prob of picking 1 r and 2 w when three letters picked without replacement from {r: 1, w: 2, z: 1}. 1/4 Four letters picked without replacement from xkkdxddddcdttxtjcd. What is prob of picking 1 k, 1 x, 1 t, and 1 c? 1/85 What is prob of picking 1 f and 1 m when two letters picked without replacement from {i: 6, z: 2, b: 2, w: 2, m: 2, f: 3}? 3/68 Two letters picked without replacement from yyyc. What is prob of picking 1 y and 1 c? 1/2 Two letters picked without replacement from {l: 6, v: 1, k: 10}. Give prob of picking 1 v and 1 k. 5/68 What is prob of picking 1 k and 1 x when two letters picked without replacement from {k: 2, q: 1, c: 1, x: 5}? 5/18 What is prob of picking 1 a and 1 w when two letters picked without replacement from utwitaiu? 1/28 What is prob of picking 1 z and 1 r when two letters picked without replacement from {z: 4, y: 2, r: 1, q: 1, b: 2}? 4/45 Three letters picked without replacement from {n: 1, a: 3, y: 12}. Give prob of picking 1 n and 2 a. 3/560 Calculate prob of picking 1 o, 2 p, and 1 d when four letters picked without replacement from prrpvvrvdllvorl. 1/1365 Three letters picked without replacement from {u: 1, c: 1, k: 2}. What is prob of picking 1 c, 1 k, and 1 u? 1/2 Calculate prob of picking 1 f and 1 p when two letters picked without replacement from {p: 4, t: 3, f: 1}. 1/7 Calculate prob of picking 2 t, 1 y, and 1 u when four letters picked without replacement from {t: 2, u: 2, p: 4, y: 4}. 8/495 What is prob of picking 2 x and 1 l when three letters picked without replacement from xlxxxxxlx? 1/2 What is prob of picking 2 v and 1 q when three letters picked without replacement from qlvvvqqlvvvvvlvqqvl? 75/323 Calculate prob of picking 3 a and 1 k when four letters picked without replacement from {k: 3, a: 9}. 28/55 Calculate prob of picking 2 j when two letters picked without replacement from yjjjjyjjjjjyjjjjjj. 35/51 Two letters picked without replacement from ttttqttqtqqttt. Give prob of picking 1 q and 1 t. 40/91 What is prob of picking 2 j, 1 b, and 1 g when four letters picked without replacement from {r: 4, b: 1, j: 2, a: 1, g: 1}? 1/126 Calculate prob of picking 2 h when two letters picked without replacement from {h: 3, r: 1}. 1/2 What is prob of picking 3 t and 1 p when four letters picked without replacement from {k: 1, w: 1, i: 2, p: 1, t: 4}? 2/63 Calculate prob of picking 1 d and 2 j when three letters picked without replacement from {d: 3, j: 2}. 3/10 Four letters picked without replacement from vmhndndhdxhxhdxmvm. What is prob of picking 3 m and 1 d? 1/765 Three letters picked without replacement from {x: 4, v: 4, c: 2, r: 2}. What is prob of picking 1 c, 1 v, and 1 r? 4/55 Calculate prob of picking 3 o when three letters picked without replacement from boobbo. 1/20 Calculate prob of picking 1 k, 1 l, and 1 d when three letters picked without replacement from dxxdklltlxktl. 8/143 Four letters picked without replacement from fnifiqqonfzoiiq. Give prob of picking 1 i, 1 n, 1 q, and 1 o. 16/455 Three letters picked without replacement from kvhkvkvvkkvhv. Give prob of picking 1 v and 2 h. 3/143 What is prob of picking 1 w, 1 j, and 1 n when three letters picked without replacement from jwnjjjjnnnjw? 12/55 Calculate prob of picking 2 q when two letters picked without replacement from fffqffqqqq. 2/9 Four letters picked without replacement from vdvdkkdvkkkdkkvkddk. What is prob of picking 1 v and 3 d? 20/969 Two letters picked without replacement from {g: 9, i: 1, k: 2, e: 7}. Give prob of picking 2 e. 7/57 Three letters picked without replacement from {b: 3, f: 4}. What is prob of picking 3 b? 1/35 What is prob of picking 1 g and 1 r when two letters picked without replacement from rgltc? 1/10 Four letters picked without replacement from {f: 3, c: 4}. Give prob of picking 3 c and 1 f. 12/35 What is prob of picking 1 m and 1 f when two letters picked without replacement from {m: 2, l: 2, p: 4, f: 1}? 1/18 What is prob of picking 2 r and 1 c when three letters picked without replacement from rrcrrrrcr? 1/2 Two letters picked without replacement from {r: 1, k: 1, n: 1, e:
{ "pile_set_name": "DM Mathematics" }
et k = -610 - -613. Suppose -k*i + 5841 = -9*j + 6*j, 5*j - 9755 = -5*i. Is i composite? False Let s be (1 - (12/2)/(-3)) + 2. Let q(g) = -g**3 - 12*g**2 + 15*g + 10. Let w(i) = 7*i**2 - 8*i - 5. Let y(t) = s*w(t) + 3*q(t). Is y(-4) composite? True Let s be 16/120 - (4 - 36026/30). Suppose -s + 262 = -5*h. Is h prime? False Suppose 0 = -k + 6*k + 2*z + 85, 4*z = 0. Let a be 0 - (-7 - -7) - -8. Let r = a - k. Is r a prime number? False Let x(g) be the third derivative of 9*g**6/40 - 2*g**5/15 + 7*g**4/24 + 2*g**3/3 - 13*g**2 + g. Is x(5) a composite number? True Suppose 106*t - 70 = 101*t. Let u be t/(-49) - 32090/(-7). Suppose 53*c + u = 61*c. Is c a composite number? True Let t = 15 + -15. Suppose t = 3*w + 2*w + 20, 0 = a + 4*w + 16. Suppose 2*b - 4*o = -98 + 1190, 4*b - 2*o - 2160 = a. Is b a composite number? True Suppose 285*w - 3488518 - 164037 = -80*w. Is w a prime number? True Let r = 244175 + 34443. Is r a prime number? False Let q = -506 + 216. Let v = q - -877. Is v composite? False Suppose -5*n + 2031 - 5861 = 0. Suppose -2*k + 1996 = -6*k. Let h = k - n. Is h a composite number? True Let n(g) = 46385*g**2 + 99*g + 17. Is n(-2) prime? True Suppose 5*l = 17*g - 18*g + 3707, -4*g - l + 14942 = 0. Is g a prime number? False Suppose 1168*m = 1128*m - 20968613 + 70347373. Is m composite? True Let c(q) = 53*q**3 + 3*q**2 + 4*q - 1. Let f(u) = 2*u + 1. Let m be f(2). Suppose 3*k = -3, -b - m*k = -0*k + 2. Is c(b) a composite number? True Suppose 0*t = 5*t. Suppose 5 = 5*h + 5*z, -10 = -5*h - 3*z + 3. Suppose u + b = 91, 2*b + 1 - h = t. Is u prime? True Let u = 26103 + -14492. Is u composite? True Let i(j) = -2*j**3 + 2*j**2 + j. Let u be i(-1). Let x be (324/(-15))/(u/10). Is (-1504)/x - 1/(-9) a composite number? True Suppose 3*q - 2*x - 524083 = 0, -5*q + 1345460 - 471989 = -4*x. Is q a prime number? False Let z(s) = 168*s**2 - 1. Let r be z(-1). Let v = 62 - r. Let j = v + 326. Is j a prime number? False Suppose 17*m - 24421 - 55972 = 0. Is m prime? True Suppose -700 = -4*j + 388. Let m = j - -7011. Is m a composite number? False Suppose v + v - 4124 = 0. Suppose 5*f - 52 = -36*d + 33*d, 0 = -2*d - 2*f + 28. Is (v - (d + -5)) + -5 a composite number? False Let k(c) = -c - 1 - 14*c**3 + 1 - 7 + c**2 + c**3. Let d be k(-4). Suppose -5*y + d = 5*m, -5*m + 4*m = -5*y + 827. Is y a prime number? False Suppose 26398 - 6413 = 5*r - 5*n, 3*r - 12001 = n. Let y = 12503 - r. Is y prime? True Suppose 30*z - 2134311 = -1694286 + 3139845. Is z composite? True Suppose -14 - 11 = -5*t - 5*v, 4*t = 4*v + 4. Let o be (t/(-6)*8)/(1/(-4)). Let n = o - 3. Is n prime? True Let d(t) = -238*t**3 + 12*t**2 - 32*t - 17. Is d(-9) composite? True Let k(s) = -s**2 + 6*s - 1. Let u be k(5). Suppose 2*h = 5*c + 10682, 0*c + 16 = -u*c. Let f = h - 2702. Is f prime? False Suppose -4*g - 2 + 13 = b, -3*b - 52 = -5*g. Let r be (-77)/(-21) - 3/b. Suppose r*y - 2*y = 4*n + 1462, 0 = -3*y + 3*n + 2205. Is y a prime number? True Suppose -1007 = 2*v - 1011. Suppose 0 = 5*w + 4*b - 20683, 0 = 2*w + v*w + 4*b - 16544. Is w prime? True Let g(d) = -d**2 + 10*d + 19. Let l be g(-2). Let c be 2/4*((-25)/l - 5). Suppose c = -29*f + 27*f + 538. Is f prime? True Let q be (-3)/2*32/12*-6. Suppose q*a = 6*a + 95454. Is a a prime number? True Let s(l) = -l**2 + 28*l - 26. Let y be s(1). Is 6524 + y/((-2)/(4 - 10)) a composite number? True Let b = 1259 + 191. Let n = 2469 - b. Is n prime? True Let j(y) be the third derivative of 1/6*y**5 - 2*y**2 + 0*y + 0*y**4 + 0 + 19/6*y**3. Is j(6) composite? False Let p(x) = -x**3 + x**2 - x + 393. Let b be p(0). Let r be 105/(-7)*(-4)/20. Suppose r*t - b = 258. Is t prime? False Suppose 35*i - 986 = i. Suppose 70127 = -6*n + i*n. Is n a composite number? False Suppose -m - 1509 = -1892. Let h = m - 180. Is h prime? False Let k = -115200 + 193279. Is k a prime number? True Let j be (-17)/(-3) + 7/3 + -3. Let u(g) = 66*g**2 + 5*g - 24. Is u(j) composite? True Let v(d) = -15256*d + 853. Is v(-34) a prime number? False Let r(t) = 60948*t**2 + 43*t + 9. Is r(2) composite? True Let o = -183 + 211. Is -2*(2 + 0 + (-18298)/o) prime? True Let j = -325 + 332. Suppose 16907 = j*v + 4*v. Is v a composite number? True Let x be 1 - (-12)/(-4)*23*275. Let v = -5305 - x. Is v a composite number? False Let y be (-4 + 0)/(0 - 2). Suppose -3 = 5*p - y*d, d = 3*p + 6*d - 23. Is -89*(-2 + p + 0) prime? True Let k(q) = 9*q**2 - 66*q - 1726. Is k(-109) prime? True Let z(b) = 1253*b - 4. Suppose 0*o + 8 = 4*x - 4*o, -4*x + 3 = o. Is z(x) a composite number? False Let i = 195524 - 138769. Is i a prime number? False Let h(a) = 1503*a + 316. Is h(5) a composite number? True Let o(x) = -4*x - 11. Let z be o(-4). Suppose 5*l - 1990 = -z*l. Is l prime? True Let i = -24 - -13. Is 95 + -1 + i/(121/(-33)) prime? True Let i(u) = -2651*u + 4. Suppose 0*r = -2*r - 2. Let n be i(r). Suppose 8*q - n = -q. Is q composite? True Suppose 4*d = 5*r - 24546, 5*r + 30697 = -5*d + 4*r. Let o = -2488 - d. Is o prime? False Let n = 2474 + -1576. Suppose 20*b + 13*b = 0. Suppose 2*t = -b*t + n. Is t composite? False Let p = -710 + 445. Let l(v) = 126*v - 372. Let u be l(6). Let k = p + u. Is k a composite number? True Is (-1488980)/(-18) - 68/612 composite? False Let c = 335 - -263. Suppose -25*i + 8449 + 10851 = -5*j, 0 = -3*i + 3*j + 2328. Let r = c + i. Is r composite? True Let x(u) = 61091*u**2 - 308*u + 48. Is x(5) prime? False Suppose 0*u = -2*u - 24. Let r be (-1 - -3 - (14 + u))*-1. Is r/(0 + 3) - -3019 a prime number? True Suppose 4*x - 274785 = -5*i + 34508, -3*i + 4*x + 185595 = 0. Is i a prime number? True Suppose m - 5*k = 20, 20 = 3*m - 46*k + 41*k. Suppose 4*q - 4592 = -5*z + 1693, -5*z + 5*q + 6285 = m. Is z prime? False Suppose 2*d - j = 877564, -1316333 = -30*d + 27*d - 5*j. Is d a prime number? False Is 1 + (5 - (-318)/(-60) - 1125583/(-10)) a composite number? False Suppose 0 = -4*x + 2*j + 2778, -x + j = -0*x - 696. Let d be 1/(45/44 - 1). Let i = x - d. Is i a prime number? False Suppose 2*v = -2*v - 264. Let k = -33 - v. Suppose -9505 = k*p - 38*p. Is p composite? False Is 39121/(-1102)*-2*1*547 prime? False Suppose -68870 = 18*a + 23506. Let l = a - -7911. Is l prime? False Suppose -8358 = 4*z - 10*z. Suppose k + 2*a = a + 275, -z = -5*k + 4*a. Is k a prime number? True Suppose 5*h = -0*h + 16965. Let f = 6220 - h. Is f a prime number? False Suppose -10*a + 32*a = 132. Is a/(-27) - 413750/(-90) a composite number? False Suppose -q + 8*q + 14 = 0. Let j be -6 - -1 - (-1)/(-1 - q). Is (-7959)/28*j/3 a prime number? True Suppose 11*m + 4*m + 488847 = 8275032. Is m prime? False Suppose -21 + 3 = -6*j. Suppose -2*t - j*t - 2*v = -2451, 1953 = 4*t - v. Suppose 2*b = -3*o + t, 4*b = 2*b + 6. Is o a composite number? True Suppose -5*g = 5, 5*j - 3*g + 632 = -0*j. Suppose -3*v + 3*r + 555 = 0, -33 = 2*v + 4*r - 373. Let o = v - j. Is o a prime number? True Let r = 773 + -771. Is 17907 - 1 - ((-7 - r) + 12) a composite number? False Suppose -3*h + 5*w + 40 = 0, -2*h + w = -0*h - 15. Suppose -5*p - 3931 = -n - 3*p, -p + 19600 = h*n. Is n a prime number? False Let l = 150110 - -66641. Is l prime? True Let z(a) = -7*a**3 - 92*a**2 - 289*a + 257. Is z(-40) composite? False Let c = -22 + 11. Let o be 2/10 - c/(-55). Suppose 4*i + 3951 = 5*p, -3931 = -o*p - 5*p - i. Is p a prime number? True Let u(p) = -277*p**3 + 4*p**2 + p - 2. Let a be u(-3). Suppose -3*o = -2*j + a, -o = -3*j + 4321 + 6958. Is j a composite number? False Suppose -9 = -s - 0*s. Suppose -s*f + 12281 - 4415 = 0. Suppose f = 24*l - 22*l. Is l a prime number? False Let k(m) = -m**2 + 4*m + 9. Let u be k(5). Suppose 2*a - 4 = u. Suppose -2*p - a = 2*p, 5*i + p = 484. Is i prime? True Let y be 2*1 - (-3 - -6 - 6). Suppose 2819 = y*g - 2886. Is g prime? False Let h = -647 - -674. Is (h - 30 - (0 + 19514))/(-1) prime? False Suppose 0 = 5*l + 2*u - 4107 - 58721, 12584 = l + 5*u. Suppose 16*g - l = 14268. Suppose 11*c - g - 1656 = 0. Is c a composite number? True Suppose 3*u + 2*m - 11 = 0, -u - 9*m = -4*m + 5. Suppose 0 = -3*q + u*c + 25974, -17320 = -2*q - 22*c + 24*c. Is q prime? True Let d(u) = -4*u - 1. Let f be d(-1). Let j(y) = 55*y**2 + 2 - 4*y + 104*y**2 + 45*y**2 - 7. Is j(f) composite? True Let m(z) = 2*z - 10.
{ "pile_set_name": "DM Mathematics" }
ulate the remainder when 46829 is divided by 289. 11 What is the remainder when 9213 is divided by 4182? 849 What is the remainder when 52126 is divided by 96? 94 Calculate the remainder when 5600 is divided by 12. 8 What is the remainder when 31502 is divided by 1575? 2 What is the remainder when 34261 is divided by 147? 10 What is the remainder when 13861 is divided by 664? 581 What is the remainder when 9135 is divided by 383? 326 Calculate the remainder when 9659 is divided by 62. 49 Calculate the remainder when 52147 is divided by 159. 154 Calculate the remainder when 70798 is divided by 4. 2 What is the remainder when 471 is divided by 39? 3 What is the remainder when 2680 is divided by 52? 28 What is the remainder when 181274 is divided by 30212? 2 What is the remainder when 376474 is divided by 531? 526 Calculate the remainder when 1648 is divided by 856. 792 Calculate the remainder when 2576 is divided by 402. 164 Calculate the remainder when 4270 is divided by 422. 50 What is the remainder when 7081 is divided by 5? 1 What is the remainder when 197609 is divided by 35? 34 Calculate the remainder when 7565 is divided by 3776. 13 Calculate the remainder when 314918 is divided by 41. 38 What is the remainder when 56168 is divided by 151? 147 Calculate the remainder when 186034 is divided by 143. 134 Calculate the remainder when 199770 is divided by 1323. 1320 Calculate the remainder when 4095 is divided by 253. 47 Calculate the remainder when 1742 is divided by 193. 5 Calculate the remainder when 53933 is divided by 26874. 185 Calculate the remainder when 1154042 is divided by 128. 122 What is the remainder when 90063 is divided by 135? 18 What is the remainder when 370584 is divided by 56? 32 What is the remainder when 48669 is divided by 403? 309 Calculate the remainder when 2970 is divided by 53. 2 What is the remainder when 3042 is divided by 3? 0 Calculate the remainder when 6921 is divided by 1153. 3 Calculate the remainder when 123795 is divided by 7. 0 Calculate the remainder when 35670 is divided by 381. 237 What is the remainder when 41002 is divided by 59? 56 Calculate the remainder when 3117 is divided by 378. 93 Calculate the remainder when 21296 is divided by 627. 605 Calculate the remainder when 7435 is divided by 63. 1 What is the remainder when 409802 is divided by 204900? 2 What is the remainder when 74709 is divided by 495? 459 What is the remainder when 60486 is divided by 217? 160 Calculate the remainder when 4602 is divided by 1441. 279 What is the remainder when 178470 is divided by 29740? 30 What is the remainder when 101913 is divided by 472? 433 Calculate the remainder when 48329 is divided by 48271. 58 What is the remainder when 6464 is divided by 109? 33 What is the remainder when 4912 is divided by 1880? 1152 Calculate the remainder when 53854 is divided by 36. 34 What is the remainder when 14200 is divided by 3548? 8 What is the remainder when 489970 is divided by 19? 17 What is the remainder when 52596 is divided by 133? 61 Calculate the remainder when 100425 is divided by 1860. 1845 What is the remainder when 542831 is divided by 22617? 23 Calculate the remainder when 76615 is divided by 3060. 115 What is the remainder when 295939 is divided by 73? 70 What is the remainder when 170050 is divided by 127? 124 Calculate the remainder when 2920 is divided by 723. 28 What is the remainder when 1444 is divided by 677? 90 Calculate the remainder when 9818 is divided by 445. 28 What is the remainder when 186896 is divided by 6921? 29 Calculate the remainder when 21244 is divided by 9. 4 What is the remainder when 11550 is divided by 119? 7 What is the remainder when 249099 is divided by 5? 4 What is the remainder when 453687 is divided by 151217? 36 What is the remainder when 310294 is divided by 142? 24 What is the remainder when 266346 is divided by 64? 42 Calculate the remainder when 68174 is divided by 11. 7 Calculate the remainder when 317608 is divided by 9. 7 What is the remainder when 3790 is divided by 1340? 1110 Calculate the remainder when 554186 is divided by 303. 302 What is the remainder when 6423 is divided by 291? 21 What is the remainder when 5501 is divided by 190? 181 What is the remainder when 14366 is divided by 2391? 20 What is the remainder when 298695 is divided by 6? 3 Calculate the remainder when 5863 is divided by 1954. 1 Calculate the remainder when 50910 is divided by 54. 42 What is the remainder when 50560 is divided by 217? 216 What is the remainder when 32964 is divided by 317? 313 Calculate the remainder when 2635 is divided by 905. 825 What is the remainder when 318 is divided by 158? 2 What is the remainder when 87294 is divided by 64? 62 Calculate the remainder when 12073 is divided by 38. 27 What is the remainder when 1072 is divided by 608? 464 Calculate the remainder when 1178 is divided by 62. 0 Calculate the remainder when 121708 is divided by 342. 298 What is the remainder when 16107 is divided by 130? 117 Calculate the remainder when 508 is divided by 125. 8 What is the remainder when 1393014 is divided by 1096? 1094 Calculate the remainder when 6353 is divided by 670. 323 What is the remainder when 381 is divided by 5? 1 What is the remainder when 2589 is divided by 11? 4 What is the remainder when 95889 is divided by 131? 128 What is the remainder when 6955079 is divided by 1815? 1814 What is the remainder when 288918 is divided by 1751? 3 What is the remainder when 184808 is divided by 137? 132 Calculate the remainder when 13658 is divided by 807. 746 Calculate the remainder when 9793 is divided by 3166. 295 What is the remainder when 22910 is divided by 10? 0 What is the remainder when 38894 is divided by 88? 86 What is the remainder when 2439 is divided by 403? 21 Calculate the remainder when 103891 is divided by 73. 12 What is the remainder when 1414127 is divided by 74? 61 What is the remainder when 1826 is divided by 262? 254 What is the remainder when 25433 is divided by 641? 434 Calculate the remainder when 197621 is divided by 24699. 29 What is the remainder when 28440 is divided by 9479? 3 Calculate the remainder when 96509 is divided by 2010. 29 Calculate the remainder when 633409 is divided by 485. 484 What is the remainder when 34169 is divided by 412? 385 Calculate the remainder when 2204 is divided by 85. 79 What is the remainder when 25649 is divided by 2331? 8 What is the remainder when 26816 is divided by 11? 9 What is the remainder when 3257 is divided by 3229? 28 What is the remainder when 1371698 is divided by 110? 108 Calculate the remainder when 17651 is divided by 9. 2 What is the remainder when 47514 is divided by 108? 102 What is the remainder when 35856 is divided by 35825? 31 What is the remainder when 6820 is divided by 2173? 301 What is the remainder when 291608 is divided by 1296? 8 Calculate the remainder when 1304555 is divided by 12. 11 What is the remainder when 71450 is divided by 154? 148 Calculate the remainder when 181 is divided by 3. 1 What is the remainder when 155459 is divided by 70? 59 Calculate the remainder when 742 is divided by 113. 64 What is the remainder when 9244 is divided by 134? 132 Calculate the remainder when 4671182 is divided by 26. 22 What is the remainder when 4242351 is divided by 1784? 1783 What is the remainder when 7214 is divided by 164? 162 Calculate the remainder when 530434 is divided by 2064. 2050 What is the remainder when 3190 is divided by 177? 4 Calculate the remainder when 368414 is divided by 11164. 2 Calculate the remainder when 185550 is divided by 159. 156 Calculate the remainder when 18292 is divided by 53. 7 Calculate the remainder when 5974 is divided by 977. 112 Calculate the remainder when 830109 is divided by 415053. 3 Calculate the remainder when 75132 is divided by 578. 570 Calculate the remainder when 55922 is divided by 1331. 20 What is the remainder when 204742 is divided by 819? 811 Calculate the remainder when 18403 is divided by 60. 43 What is the remainder when 64167 is divided by 32? 7 Calculate the remainder when 1257722 is divided by 128. 122 Calculate the remainder when 5042334 is divided by 221. 219 What is the remainder when 10610 is divided by 10584? 26 Calculate
{ "pile_set_name": "DM Mathematics" }
515? -213513 What is next in 228688, 228684, 228680, 228676? 228672 What is the next term in 139, 378, 617, 856, 1095? 1334 What comes next: 117, 87, -29, -285, -735? -1433 What is next in -621803, -621805, -621807, -621809? -621811 What comes next: -1494, -1497, -1500, -1503, -1506? -1509 What comes next: 856, 849, 842? 835 What is the next term in -372, -722, -1072, -1422? -1772 What is the next term in 1936, 1912, 1888, 1864, 1840, 1816? 1792 What is next in -2076, -4291, -6506, -8721, -10936? -13151 What comes next: -4487, -17944, -40371, -71768, -112135, -161472, -219779? -287056 What comes next: -213, -156, -95, -36, 15, 52, 69, 60? 19 What is next in 1074730, 2149459, 3224188? 4298917 What comes next: 590967, 590968, 590969, 590970, 590971, 590972? 590973 What is next in -179, -181, -175, -161? -139 What is the next term in 29468, 117853, 265160, 471389, 736540, 1060613, 1443608? 1885525 What comes next: -261, -741, -1529, -2625, -4029, -5741? -7761 What comes next: -1813, -3952, -6091, -8230? -10369 What is next in -14062, -28099, -42136? -56173 What comes next: 3384, 3370, 3366, 3378, 3412? 3474 What is the next term in 10652, 21265, 31878, 42491, 53104, 63717? 74330 What is the next term in 204766, 204767, 204768, 204769? 204770 What comes next: -115, -195, -333, -535, -807, -1155, -1585? -2103 What is next in 1772, 1893, 2014, 2135, 2256, 2377? 2498 What comes next: -2314, -9240, -20780, -36934, -57702, -83084, -113080? -147690 What comes next: 215, 302, 395, 494, 599? 710 What comes next: -16208, -32459, -48710, -64961, -81212? -97463 What comes next: -1249, -2643, -4037, -5431? -6825 What comes next: -28898, -28897, -28896, -28895, -28894, -28893? -28892 What is the next term in 773, 727, 681? 635 What is the next term in -22688, -22674, -22660? -22646 What is the next term in 4754, 9521, 14298, 19085, 23882, 28689? 33506 What is next in -73, -110, -217, -430, -785, -1318, -2065, -3062? -4345 What comes next: -2855, -5695, -8533, -11369? -14203 What is the next term in -30789, -30796, -30807, -30822, -30841? -30864 What is next in -887, 1426, 3739? 6052 What comes next: 12313, 24623, 36931, 49237? 61541 What is the next term in 4924848, 4924842, 4924824, 4924788, 4924728? 4924638 What is the next term in 30, 223, 734, 1719, 3334, 5735? 9078 What comes next: 21, 325, 823, 1509, 2377? 3421 What is the next term in 982, 933, 828, 649, 378, -3? -512 What is the next term in -864, -922, -980, -1038? -1096 What is the next term in -9739, -9747, -9763, -9787, -9819, -9859? -9907 What comes next: -1296, -2556, -3796, -5010, -6192? -7336 What is the next term in 77, -517, -1589, -3205, -5431, -8333, -11977, -16429? -21755 What comes next: 4917825, 4917823, 4917821, 4917819, 4917817? 4917815 What is next in 134714, 134709, 134704, 134699, 134694, 134689? 134684 What is next in -625643, -625629, -625601, -625553, -625479, -625373, -625229? -625041 What is the next term in 1502, 2413, 3324? 4235 What is next in -1096, -1086, -1076? -1066 What comes next: 18198, 18177, 18154, 18129? 18102 What is next in -109, -454, -1389, -3208, -6205, -10674, -16909, -25204? -35853 What is next in 25, 54, 115, 208, 333, 490? 679 What comes next: -5, -25, -45, -65, -85, -105? -125 What is next in 376245, 752491, 1128737, 1504983? 1881229 What comes next: 331, 330, 331, 334, 339, 346? 355 What is next in -145, -482, -1051, -1858, -2909? -4210 What is the next term in -23467, -23465, -23463, -23461? -23459 What is the next term in -1065, -809, -555, -303, -53, 195? 441 What is the next term in 326, 656, 1002, 1364, 1742? 2136 What is next in 4034, 7953, 11886, 15839, 19818, 23829? 27878 What is next in 3871, 7672, 11475, 15280, 19087? 22896 What is next in -817, 7, 1385, 3323, 5827, 8903, 12557, 16795? 21623 What is the next term in -2000, -7917, -17744, -31487, -49152? -70745 What comes next: -403, -1729, -3943, -7045, -11035? -15913 What is the next term in 35, 11, -7, -7, 23? 95 What comes next: 1515692, 6062779, 13641258, 24251129? 37892392 What is next in 427, 484, 541, 598, 655, 712? 769 What comes next: 231, 574, 955, 1392, 1903, 2506, 3219? 4060 What is the next term in 48166, 48167, 48168? 48169 What comes next: -614, -1220, -1816, -2402, -2978? -3544 What is the next term in 2497, 2564, 2681, 2854, 3089, 3392, 3769, 4226? 4769 What is next in -13266, -13288, -13340, -13434, -13582? -13796 What is the next term in 307, 594, 881, 1168, 1455? 1742 What is the next term in 33384, 66709, 100050, 133413, 166804, 200229? 233694 What is the next term in -208118, -208169, -208254, -208373, -208526, -208713? -208934 What comes next: -33702, -67403, -101104, -134805, -168506? -202207 What is the next term in 4114, 8323, 12532? 16741 What comes next: -1132, -995, -858, -721? -584 What comes next: -770, -915, -1056, -1193? -1326 What is next in -132, -304, -518, -780, -1096, -1472? -1914 What is next in 450955, 450953, 450951, 450949? 450947 What is the next term in 60259, 120502, 180745? 240988 What is next in -480, -948, -1408, -1860, -2304, -2740? -3168 What comes next: 4215498, 4215500, 4215504, 4215510, 4215518? 4215528 What is the next term in -947, -978, -1033, -1118, -1239? -1402 What is next in -132061, -264124, -396187? -528250 What is next in 61664, 61646, 61612, 61556, 61472? 61354 What is next in 142, 107, 70, 31, -10, -53, -98? -145 What comes next: -49933, -49954, -49975? -49996 What comes next: 16, 61, 112, 169, 232, 301? 376 What comes next: 32143, 32141, 32139, 32137, 32135, 32133? 32131 What comes next: 3, 23, 101, 273, 575? 1043 What is next in 93, 141, 235, 375, 561, 793? 1071 What is next in -39945, -39939, -39919, -39879, -39813, -39715? -39579 What is the next term in -14671, -14671, -14669, -14665, -14659, -14651? -14641 What is the next term in 314, -872, -2854, -5632? -9206 What is next in 511, 588, 783, 1150, 1743, 2616, 3823, 5418? 7455 What comes next: -2245, -4559, -6853, -9115, -11333, -13495, -15589, -17603? -19525 What comes next: -20473, -20483, -20493, -20503, -20513, -20523? -20533 What is the next term in -89205, -89202, -89197, -89190? -89181 What is the next term in -18353, -18373, -18421, -18509, -18649? -18853 What is next in 37884, 75768, 113652, 151536? 189420 What comes next: 58, 152, 294, 478, 698, 948? 1222 What is next in 5792, 23155, 52094, 92609, 144700, 208367? 283610 What is next in 753, 3018, 6773, 12006, 18705, 26858? 36453 What comes next: -31, -31, -23, -1, 41, 109, 209, 347? 529 What is next in -89, 59, 305, 649, 1091, 1631, 2269? 3005 What is next in 7254, 14519, 21784, 29049? 36314 What comes next: 13, 85, 217, 409, 661, 973, 1345? 1777 What is next in -13419, -13433, -13445, -13455, -13463? -13469 What is the next term in 271, 2210, 7465, 17692, 34547, 59686, 94765, 141440? 201367 What is next in -95380, -190760, -286140, -381520? -476900 What is the next term in 29547, 29552, 29555, 29550, 29531? 29492 What is the next term in -1865, -1693, -1521, -1349, -1177? -1005 What is the next term in -749, -1544, -2339, -3134, -3929, -4724? -5519 What is next in -15, -202, -537, -1026, -1675, -2490? -3477 What is the next term in -603, -2408, -5417, -9630, -15047, -21668, -29493? -38522 What is the next term in 6303, 6301, 6299? 6297 What comes next: -4444, -9167, -13890, -18613, -23336, -28059? -32782 What is the next term in 14174, 14092, 14008, 13922, 13834, 13744? 13652 What comes next: 355, 293, 231, 169? 107 What is next in 636, 1371, 2212, 3171, 4260? 5491 What comes next: 1175, 1186, 1197? 1208 What is the next term in 221, 334, 531, 824, 1225, 1746? 2399 What is next in -12788, -25449, -38110? -50771 What is next in -29, -220, -571, -1082, -1753, -2584? -3575 What is the next term in 170, 364, 558, 752? 946 What comes next: -1359, -1457, -1561, -1671, -1787, -1909? -2037 What is the next term in -5057, -20148, -45299, -80510, -125781? -181112 What comes next: 830, 1842, 2848, 3848, 4842? 5830 What comes next: -37, -302, -999, -2338, -4529? -7782 What comes next: -1264, -5085, -11462, -20401, -31908, -45989, -62650? -81897 What is the next term in -2891, -5787, -8685, -11585, -14487? -17391 What comes next: -60536, -121069, -181602, -242135, -302668? -363201 What is next in 645185, 645186, 645187, 64
{ "pile_set_name": "DM Mathematics" }
e of j(k) wrt k? 96*k Let l(h) = -h**2 + 12*h + 5. Let t = 38 - 26. Let p be l(t). What is the second derivative of 3*z - 4*z + 12*z - 2*z**p - 10*z**5 wrt z? -240*z**3 Suppose 0 = -3*b, 2*w - 3*b = b. Suppose 0 = q - m - 2, q - 22 = -w*m - 4*m. Find the second derivative of q*l**4 - l**4 - 10*l**4 - 5*l wrt l. -60*l**2 Find the second derivative of -941*c + 15*c**3 - 181*c**3 - 246*c**3 + 101*c**3 wrt c. -1866*c Let z(i) = 571*i**3 - 4*i**2 - 224. Let w(j) = -573*j**3 + 5*j**2 + 223. Let o(u) = 4*w(u) + 5*z(u). Differentiate o(s) wrt s. 1689*s**2 Let w(s) be the first derivative of -13*s**8/336 + 11*s**5/60 + 8*s**2 - 15. Let d(t) be the second derivative of w(t). Find the third derivative of d(z) wrt z. -780*z**2 Let a(u) be the third derivative of 5/12*u**5 + 19*u**2 + 0*u**4 + 20/3*u**3 + 0 + 0*u. What is the first derivative of a(o) wrt o? 50*o Let h(z) be the first derivative of -z**3 - 43*z**2 - 110. What is the second derivative of h(t) wrt t? -6 Let n(c) = -4*c**3 + c**2 + c. Let p(r) = 303*r**3 + 9*r**2 + 9*r + 174. Let o(i) = -9*n(i) + p(i). What is the first derivative of o(f) wrt f? 1017*f**2 What is the second derivative of -2*m**2 - 98*m**2 - 25 + 5*m - 48*m**2 - 6*m**2 wrt m? -308 Differentiate 44*h + 29*h**2 - 114 - 12*h + 32*h**2 - 63*h**2 wrt h. -4*h + 32 Let q(j) be the second derivative of -831*j**8/56 + 87*j**4/2 - j**2/2 - 316*j. What is the third derivative of q(f) wrt f? -99720*f**3 What is the third derivative of -30*z**4 - 76*z**3 + 1 - 1 + 8*z**4 - 224*z**2 + 21*z**4 wrt z? -24*z - 456 Find the third derivative of 22*x**5 + 5*x**2 - 18*x**3 + 1213692*x**4 + 21 - 1213692*x**4 wrt x. 1320*x**2 - 108 Let y(a) = 144*a**5 + 6*a**4 + 6*a**3 + 228*a**2. Let q(g) = g**4 + g**3. Let z(m) = -6*q(m) + y(m). What is the third derivative of z(p) wrt p? 8640*p**2 Let b(o) be the second derivative of 7*o**6/5 - o**3/6 + 2*o**2 + 21*o + 4. Find the second derivative of b(k) wrt k. 504*k**2 Suppose 2 = 3*k - 4. Suppose -a - k = -5. What is the third derivative of 3*o**a + 4*o**3 - o**2 - 2*o**3 - 4*o**2 wrt o? 30 Let x(t) be the first derivative of 343*t**6/3 - 32*t**3 + 161. What is the third derivative of x(w) wrt w? 41160*w**2 Let t(u) be the second derivative of -62*u**3/3 - 215*u**2/2 + 28*u - 2. What is the first derivative of t(b) wrt b? -124 Let w(b) be the second derivative of -11*b**5/60 - 5*b**3/6 - 19*b**2/2 - 21*b. Let z(a) be the first derivative of w(a). What is the derivative of z(v) wrt v? -22*v Let a(w) = 2*w - 20. Let o be a(12). Find the third derivative of -i**5 + o*i**5 - 6*i**2 - i**2 wrt i. 180*i**2 Let i be 208/14 + 9/63. What is the second derivative of 10*w - 9*w**3 - i*w**3 + 30*w**3 - 13*w**3 wrt w? -42*w Let c(a) be the first derivative of -17*a**7/7 - a**4/2 - 2*a**3/3 + 9*a**2/2 - 57. What is the third derivative of c(b) wrt b? -2040*b**3 - 12 Let o(c) = c**3 - 4*c**2 - 3*c - 6. Let b be o(5). Suppose -4*x - b = -6*x. What is the derivative of 2 + 0 - 1 + 6*i**x - 7 wrt i? 12*i Let w = 29 + -34. Let o(z) = 11*z**2 - 2. Let u(g) = 23*g**2 - 3. Let d(h) = w*o(h) + 2*u(h). Differentiate d(s) wrt s. -18*s Let p(a) = 22*a**2 + 2*a - 2. Let f be p(1). Find the third derivative of 54*r**4 + 51*r**4 - 105*r**4 - 5*r**5 + f*r**2 wrt r. -300*r**2 Let z(w) be the first derivative of 9*w**4/4 - 13*w**3/3 - 3*w**2 + 5*w - 448. What is the second derivative of z(y) wrt y? 54*y - 26 Let q(h) be the third derivative of 23*h**7/210 - 16*h**3/3 + 25*h**2. Find the first derivative of q(o) wrt o. 92*o**3 Let d(g) = -785*g**4 + 14*g**3 + 7*g**2 + 594. Let l(p) = 523*p**4 - 10*p**3 - 5*p**2 - 396. Let t(u) = -5*d(u) - 7*l(u). Differentiate t(c) with respect to c. 1056*c**3 Let y(f) be the second derivative of -29*f**4/12 + 21*f**3 + 139*f. Find the second derivative of y(r) wrt r. -58 What is the second derivative of 5*k**3 - k**3 - 3*k**4 - 451 - 4*k**3 + 449 + 20*k wrt k? -36*k**2 Let h(p) be the third derivative of -1/12*p**6 + 0*p**3 + 0*p**4 + 11/60*p**5 - 6*p**2 + 0 + 0*p. Find the third derivative of h(s) wrt s. -60 Let r(q) = 9*q**2 + 9*q. Let w = 2 + -6. Let h(x) = -8*x**2 - 9*x. Let s(a) = w*r(a) - 3*h(a). Find the second derivative of s(u) wrt u. -24 Let c(q) = 61*q - 49. Let k(y) = 2*y + 3. Let x be k(0). Let z(a) = 14*a + x + a - 15. Let m(h) = 2*c(h) - 9*z(h). Find the first derivative of m(r) wrt r. -13 What is the third derivative of -63*f**2 - 58*f - 61*f + 382*f**3 - 62*f + 181*f wrt f? 2292 Let v = -13 - -18. Suppose t + 0*t - v = 0. Find the second derivative of s**t + s**4 - s**4 - 2*s - 2*s**5 wrt s. -20*s**3 Suppose 0 = z - 0*z + 2*o - 8, z - 2*o = 0. Find the third derivative of 12*b**2 + 4*b**5 - 26*b**4 + 26*b**z + 11*b**5 wrt b. 900*b**2 Suppose -3*n - 522 = 3*h - 2*h, -3*n + 2*h - 531 = 0. Let g be 4/(-14) - 5125/n. Find the second derivative of -g*u**3 + 9*u + u**5 + 29*u**3 wrt u. 20*u**3 Let n(w) = 2*w**2 + 6*w - 3. Let z be n(-4). Suppose 0 = -z*p + 2*v - 15 + 47, -3*p - 5*v = -13. Differentiate -11 + p - s + 0 wrt s. -1 Let m(w) = 36*w - 33. Let y(p) = -110*p + 101. Let t(v) = 7*m(v) + 2*y(v). What is the first derivative of t(k) wrt k? 32 Let r(u) = -4*u**3 - 4*u**2 + 4. Let i(g) = g**3 - g**2 - 1. Suppose -q + 5*q = -4*w, 3*q - 3 = 0. Let l(m) = w*r(m) + 3*i(m). Differentiate l(b) wrt b. 21*b**2 + 2*b Let y(c) be the third derivative of -5*c**8/336 + 3*c**6/20 + c**5/30 + 18*c**3 - 2*c**2 - 273. What is the third derivative of y(f) wrt f? -300*f**2 + 108 What is the third derivative of 2*u**5 + 26*u - 5*u**2 - 26*u - 6 - 153*u**3 wrt u? 120*u**2 - 918 Let m(g) be the second derivative of 11*g**2 + 0*g**3 + 3/2*g**5 + 37*g + 0*g**4 + 0. Differentiate m(v) wrt v. 90*v**2 Let h(a) be the third derivative of -5*a**4/12 - 13*a**3/2 + 4*a**2 + 13. Find the first derivative of h(y) wrt y. -10 Suppose 4*d + 2*z = 4*z + 40, -3*z = 0. Find the third derivative of d*s**6 - 53 - 8*s**2 + 53 wrt s. 1200*s**3 Let l(b) be the third derivative of 0*b + 0*b**4 - 29/60*b**5 + 13/60*b**6 + 0*b**3 - 12*b**2 + 0. What is the third derivative of l(f) wrt f? 156 What is the third derivative of -33*y**2 + 28*y**3 - 124*y**2 + 69*y**2 - 3*y**3 wrt y? 150 Suppose 5*h - 11 = 4. What is the second derivative of 4*c + h*c + 2*c + 3*c**5 + 15*c wrt c? 60*c**3 Let k(o) be the third derivative of 667*o**5/60 + 244*o**3/3 - 392*o**2. Differentiate k(w) wrt w. 1334*w Find the third derivative of -3*k**2 - 83194*k - 169*k**3 + k**2 + 4 - 4 + 83216*k wrt k. -1014 Let r(y) = -20*y**3 - 7*y**2 - 644*y + 927. Let j(x) = -6*x**3 - 2*x**2 - 215*x + 309. Let s(d) = 7*j(d) - 2*r(d). What is the derivative of s(a) wrt a? -6*a**2 - 217 Let l(h) = -209*h - 105. Let c(o) = -106*o - 52. Let p(x) = -5*c(x) + 2*l(x). What is the first derivative of p(r) wrt r? 112 Let n be (76/(-6))/((-2)/3). Suppose 2*b + 14 = -0*b + 4*v, -5*v = -2*b - n. Find the first derivative of 7 + 4*f**3 + 3*f**3 - b + f**3 wrt f. 24*f**2 Let z = -35 + 37. What is the third derivative of -12*c**4 + 21*c**4 + 7*c**5 - 9*c**4 + 4*c**z wrt c? 420*c**2 Suppose -2*v + 3 + 5 = 0. Suppose -a = -f, 13 = -2*f + 5*a + v. What is the second derivative of -f*d**3 + 4*d**3 + 307*d - 315*d wrt d? 6*d What is the second derivative of 5*u + 239 - 7*u - 2159*u**5 + 1552*u**5 wrt u? -12140*u**3 Let p(i) be the third derivative of 133*i**6/24 + 5*i**4/24 - 28*i**3/3 + 354*i**2. What is the second derivative of p(w) wrt w? 3990*w Let o(n) be the first derivative of 38*n**6/3 + 531*n**2/2 - 535. What is the second derivative of o(c) wrt c? 1520*c**3 Let x(j) be the second derivative of -447*j**8/56 + j**4/12 - 10*j**2 + 2*j - 288. What is the third derivative of x(o) wrt o? -53640*o**3 Let b(c) = 20*c + 62. Let q(m) = 19*m + 64. Let j(a) = 5*b(a) - 4*q(a). Differentiate j(o) wrt o. 24 Let j(q) be the second derivative of 2*q + 0*q**5 + 0*q**4 - 6*q**2 + 0 + 0*q**3 - 8/15*q**6. Find the first derivative of j(x) wrt x. -64*x**3 Let f(y) = -5*y - 2. Let u(z) = z - 1. Let q = -2 - -5. Suppose 7*b - 4*b = -q. Let w(t) = b*u(t) - f(t). What is the derivative of w(d) wrt d? 4 Let t(j) = -24*j**4 - 2*j**3 + 2*j + 4. Let n(z) = -47*z**4 - 5*z**3 + 5*z + 9. Let o(b) = 2*n(b) - 5*t(b). Differentiate o(f) wrt f. 104*f**3 Let g(z) be the first derivative of 249*z**4/2 - 373*z**3/3 + z + 310
{ "pile_set_name": "DM Mathematics" }
p. Suppose -895 = 2*x - 3*v - 736, 0 = 5*x + 5*v + 460. Let h(q) = -58*q**2 - 87*q. Calculate x*s(o) - h(o). -29*o**2 Let z be ((5 + (1 - 7))*2)/(12/(-30)). Let t(m) = -27*m**2 - 3*m + 3. Let y(u) = 53*u**2 + 5*u - 5. Calculate z*t(j) + 3*y(j). 24*j**2 Let g(m) = -4*m**3 + m + 3*m**2 - 1 - 1 - 2*m**2. Suppose -12*p - 60 + 114 = 15*p. Let x(h) = 9*h**3 - 2*h**2 - 3*h + 5. Determine p*x(z) + 5*g(z). -2*z**3 + z**2 - z Let j(u) = -5*u**2 + 6*u - 8. Let h(v) = -620*v**2 - 9*v - 1. Let t be h(-1). Let d = t + 606. Let y(q) = -6*q**2 + 7*q - 9. What is d*y(a) + 7*j(a)? a**2 - 2 Let d(z) = -18*z - 1. Let u(g) = 9*g + 1. Let q be 18/(-8) - (102/(-459) - 70/(-72)). Calculate q*d(v) - 5*u(v). 9*v - 2 Let k(l) = 2419*l**3 + 4*l**2 + 76*l + 12. Let v(g) = 36285*g**3 + 59*g**2 + 1121*g + 177. What is 59*k(r) - 4*v(r)? -2419*r**3 Let d(u) = -5*u**2 + 27*u + 11. Let v(m) = -10*m**2 + 72*m + 22. Give -5*d(a) + 2*v(a). 5*a**2 + 9*a - 11 Let m(d) = 198*d**3 + d**2 + 3*d - 3. Let n(w) = -200*w**3 - w**2 - 2*w + 2. Give -4*m(v) - 6*n(v). 408*v**3 + 2*v**2 Let h(u) = -39*u + 2048 + 38*u - 2047. Let w(d) = 3*d + 11. What is 4*h(n) + w(n)? -n + 15 Let y(n) = n + 6. Let r(x) = x + 5. Let d(z) = 3*r(z) - 2*y(z). Let m(g) = 13 - 10 + g + 10 - 14. Give -d(k) - 4*m(k). -5*k + 1 Let j(a) = -261*a. Let v(m) be the third derivative of -13*m**4/24 + 816*m**2. What is 4*j(z) - 81*v(z)? 9*z Let k(l) = 29329*l + 55. Let n(d) = -9777*d - 20. Calculate -4*k(q) - 11*n(q). -9769*q Let i(q) = q**2 - q. Let b(n) be the first derivative of -4*n**3/3 + 2*n**2 + n + 687. Let w be (2/6)/((-3)/(-9)). Determine w*b(p) + 5*i(p). p**2 - p + 1 Let u(v) = v**3 + v - 12. Let y(i) = -3*i**2 - 3*i + 10. Let h(c) = -c**3 + 3*c**2 + 2*c + 1. Let q(l) = -h(l) - y(l). Calculate -4*q(k) + 3*u(k). -k**3 - k + 8 Let m(b) = 49*b**3 + 10*b**2 + b + 28. Let s(a) = -43*a**3 - 8*a**2 - a - 28. Determine 4*m(v) + 5*s(v). -19*v**3 - v - 28 Let i(g) = 4*g**2 + 34. Let q(b) = -b**2 + 36. Calculate 6*i(c) - 5*q(c). 29*c**2 + 24 Let z(m) = -55*m + 287. Let i(j) = -24*j + 143. Give -9*i(x) + 4*z(x). -4*x - 139 Let y(i) = 3*i**2 + 743*i - 6. Let t(l) = -l**2 - 19*l + 1. What is -6*t(j) - y(j)? 3*j**2 - 629*j Let b(q) = 5*q**3 + 17*q**2 + 159*q + 19. Let k(y) = y**3 + 4*y**2 + 39*y + 5. Determine 2*b(t) - 9*k(t). t**3 - 2*t**2 - 33*t - 7 Let o(c) = 34*c**2 - 7*c - 43. Let t(w) = 27*w**2 - 6*w - 38. Let a(z) = 5*o(z) - 6*t(z). Let n(r) = 4*r**2 + r + 7. What is 6*a(m) - 11*n(m)? 4*m**2 - 5*m + 1 Let v(a) = 22*a + 4292. Let f(g) = 51*g + 10013. Determine -7*f(d) + 16*v(d). -5*d - 1419 Let v(z) = -15*z**2 + 360*z + 29. Let u(n) = -8*n**2 + 195*n + 15. Calculate 11*u(f) - 6*v(f). 2*f**2 - 15*f - 9 Let p(d) = 8*d**3 - 2*d**2 + 13. Let m = -14 + 20. Let s(n) be the third derivative of n**6/120 + n**3/6 - 14*n**2 - 6*n. Give m*s(c) - p(c). -2*c**3 + 2*c**2 - 7 Let u(y) = 249*y**2 - 13*y + 11. Let o(b) = -262*b**2 + 11*b - 10. What is 6*o(x) + 5*u(x)? -327*x**2 + x - 5 Let i(n) = -20959*n. Let j(s) = 23233054*s. Give 12194*i(c) + 11*j(c). -10452*c Let p(t) be the first derivative of -7*t**4/4 - 3*t - 112. Let m(y) = -36*y**3 - 16. Let w = -7 - 9. What is w*p(q) + 3*m(q)? 4*q**3 Let x(q) be the first derivative of 6 + 0*q + 3/2*q**2. Let k(o) = -3*o + 8*o - 4*o. Calculate -6*k(i) + x(i). -3*i Let f(r) = -17090*r**3 - 7*r**2 + 7. Let d(l) = -25635*l**3 - 10*l**2 + 10. What is 7*d(a) - 10*f(a)? -8545*a**3 Let m(b) = -82*b - 12. Let l(y) = -83*y - 12. Calculate -4*l(z) + 3*m(z). 86*z + 12 Let g(z) = 5*z**3 + 2*z**2 + 6*z. Let t(n) = n**3 - 2*n**2 + n + 2. Let k(f) = -17*f**3 - 2*f**2 - 19*f - 4. Let m(h) = k(h) + 2*t(h). Give -17*g(a) - 6*m(a). 5*a**3 + 2*a**2 Suppose -3*o - 2*o + 4*d + 10 = 0, -5*d = 0. Let r(s) = 8 + 9*s - 3 + 7 - 12*s**o + 3*s + 15*s**3. Let a(v) = v**3 - v**2 + v + 1. What is -12*a(x) + r(x)? 3*x**3 Let l(r) be the third derivative of -r**4/8 + r**3 - 1880*r**2. Let w(f) = -f + 1. Let z(k) = 20*k - 35. Let j(y) = -4*w(y) - z(y). Give -2*j(b) + 11*l(b). -b + 4 Let o(u) = -u + 1370. Let g(a) = a - 1395. What is -4*g(i) - 3*o(i)? -i + 1470 Let w(m) = -228*m**2 + 5*m - 1. Let h(g) = 456*g**2 - 13*g + 2. What is 2*h(n) + 5*w(n)? -228*n**2 - n - 1 Let p(s) = -37859*s**2 - 105*s - 7. Let t(k) = -25239*k**2 - 75*k - 5. Determine -5*p(v) + 7*t(v). 12622*v**2 Let c(f) = -f**2 + 12*f - 27. Let n be c(9). Let w(b) = -79*b + 0 + 78*b + n - b**2. Suppose -5*a - 11 = 4. Let i(q) = q**2 + 4*q. What is a*w(o) - i(o)? 2*o**2 - o Let s(u) = -u**3 - u + 12. Let x(r) = -2939*r**3 - r**2 - 5*r + 60. Calculate -10*s(y) + 2*x(y). -5868*y**3 - 2*y**2 Let n be 1/5 - 12/10. Let p(f) be the first derivative of -4*f**2 - 8*f + 1965. Let l(j) = j + 1. Give n*p(s) - 6*l(s). 2*s + 2 Let g(k) = -25*k - 2. Let f(z) = -195*z - 18. Let a(v) = 32*v + 3. Let l(i) = -13*a(i) - 2*f(i). Give 3*g(h) - 2*l(h). -23*h Let g be (-55)/(-10)*(532/(-77) + 8). Let c(y) = 10*y + 5. Let b(n) = -9*n - 4. Calculate g*b(u) + 5*c(u). -4*u + 1 Let t(c) = 41 + 56 + 43 - 130 - c + 0*c. Let u(d) = 3*d - 30. Give -11*t(i) - 4*u(i). -i + 10 Let l(f) = -17*f - 246. Let m(i) = 14*i + 243. What is -6*l(d) - 7*m(d)? 4*d - 225 Let j(x) = -792*x**2 - 8*x. Let l(b) = 1189*b**2 + 11*b. Determine -14*j(s) - 10*l(s). -802*s**2 + 2*s Let b = -6917 + 6906. Let k(h) = -4*h - 3. Let o(p) = 20*p + 16. Determine b*k(g) - 2*o(g). 4*g + 1 Let a(j) = -3*j - 2055. Let t(i) = -4*i - 2053. Determine -3*a(g) + 2*t(g). g + 2059 Let h(c) = -4*c - 3. Let b(f) = -12*f - 10. Suppose 25*x - 14*x = -88*x - 693. Determine x*h(t) + 2*b(t). 4*t + 1 Let y(l) = -68*l - 13. Let a(i) = i + 2. Calculate -5*a(b) - y(b). 63*b + 3 Let i(m) = -31*m**2 - m - 1. Let d(o) = -228*o**2 - 2*o - 2. Give d(n) - 5*i(n). -73*n**2 + 3*n + 3 Let c(n) = -78*n. Suppose 5*b = -2*j + 50, 4*b - 69 = 5*j + 4. Let x(u) = -31*u. Give b*x(g) - 5*c(g). 18*g Let z(g) = -5*g + 3. Let o(y) = 6*y + 1. Suppose -133 = -12*h - 7*h. Let f(l) = -13*l. Let v(t) = h*o(t) + 4*f(t). Calculate 6*v(p) - 14*z(p). 10*p Let a(h) = 116*h - 60. Let n(t) = -38*t + 21. Calculate 3*a(z) + 8*n(z). 44*z - 12 Let c(r) = 20*r + 73. Let f(v) = 38*v + 140. Give -5*c(o) + 3*f(o). 14*o + 55 Let v(a) = 16*a - 2. Suppose -o + 51 = -k, 154*k - 2*o + 48 = 153*k. Let m(b) = -207*b + 27. Determine k*v(x) - 4*m(x). -36*x Let k(x) = 108*x + 8*x - 116*x + x**2. Let q(d) be the third derivative of d**5/20 + d**4/24 - d**3/6 - 2*d**2. Determine 6*k(n) - q(n). 3*n**2 - n + 1 Let j(a) = -17*a**2 - 2531*a - 26. Let h(k) = -8*k**2 - 1265*k - 12. Determine -13*h(v) + 6*j(v). 2*v**2 + 1259*v Let l(a) = 658*a + 0 + 1 + 647*a - 1306*a. Let w(m) = -12 + 24 + 3 - 6*m. What is 15*l(g) - w(g)? -9*g Let a(b) = -526*b + 247*b + 278*b + b**2. Let o(t) = -6*t**3 - 12*t**2 + 12*t. Let i be (64/20 + -4)*-15. Calculate i*a(y) + o(y). -6*y**3 Let n(w) = 161*w + 36. Let a(m) = 349*m + 73. Give 3*a(q) - 7*n(q). -80*q - 33 Let h(u) = -u**2 + u + 1. Let c(j) = -3*j**2 + 2*j + 16. Suppose 14*p + 36 = 32*p. Calculate p*h(d) - c(d). d**2 - 14 Let b(k) = 20*k. Let i(g) = 3*g + 303. Let v be i(-85). Let m(f) = -f. Calculate v*m(n) + 3*b(n). 12*n Let d(k) = 1. Let w(s) = 31*s. Let c(o) = 193*o + 5. Let i(j) = -c(j) + 6*w(j). What is -4*d(f) - i(f)? 7*f + 1 Let w(j) = -8*j**3 + 17*j**2 + 10*j - 9. Let l(g) = 10*g**3 - 13*g**2 - 8*g + 8. Calculate 4*l(n) + 3*w(n). 16*n**3 - n**2 - 2*n + 5 Let y(b) = 13*b**2 + 147*b + 5. Let s(j) = -6*j**2 - 72*j - 2. Calculate 5*s(q) + 2*y(q). -4*q**2 - 66*q Let f(z) = -6*z. Let s(l) = 37*l. Give 5*f(v) - s(v). -67*v Let w(g) = 2*g**3 - g**2 + g - 2. Let k(n) = 16*n**3 - 7*n**2 + 5*n - 14. Calculate 4*k(t) - 28*w(t). 8*t**3 - 8*t Let b(q) = -5*q**3 - 4*q. Let i(w) = 14*w**3 + 11*w. Suppose -8*x + 112 = -12*x + d, -3*d = -12. Let c = -19 - x. Suppose 0*g = -c*g - 88. Give g*b(m) - 4*i(m). -m**3 Let v(j) = j**3 + j**2 - 13*j + 1. Let g(r) = -3*r**3 - 2*r**2 + 23*r - 634. Give -g(z) - 2*v(z). z**3 + 3*z + 632 Let p(j) = -13*j**3 - 4*j**2 - 92*j - 4. Let x(h) = -17*h**3 - 5*h**2 - 93*h - 5. What is 4*p(q) - 3*x(q)? -q**3 - q**2 - 89*q - 1 Let x(z) = z**2 + 2*z + 2. Let c = 83 - 80. Suppose -97*p + c = -100*p. Let a(w) = w**2 + 1. Calculate p*x(d) + 2*a(d). d**2 - 2*d Let w(q) = -6*q**3 + 7*q**2 - q - 4. Let p(i) = -i**3 + i**2 - 1. Suppose 7*m + 298 = 998. Let g = 96 -
{ "pile_set_name": "DM Mathematics" }
d z, given that -332*z**2 + 3*z - o*z**5 + 24*z**4 - 27*z**3 + 9*z**4 + 335*z**2 = 0. -1/4, 0, 1 Let l(a) be the third derivative of -a**6/24 + 5*a**5/2 - 255*a**4/8 - 2890*a**3/3 + 942*a**2. Solve l(b) = 0 for b. -4, 17 Suppose 174*y + 180 = 368*y - 158*y. Let d(g) be the first derivative of -4/27*g**3 - 2/9*g - 38 + 1/3*g**2 - 1/27*g**6 - 1/9*g**4 + 2/15*g**y. Factor d(a). -2*(a - 1)**4*(a + 1)/9 Let n(t) be the first derivative of -8*t**5/45 + 7*t**4/18 + 14*t**3/9 - 2*t**2 - 273. Suppose n(r) = 0. Calculate r. -2, 0, 3/4, 3 Let z(k) be the third derivative of k**7/630 - k**6/72 - k**5/15 + 19*k**4/18 - 40*k**3/9 + 1605*k**2. Factor z(i). (i - 5)*(i - 2)**2*(i + 4)/3 Let d(u) = 20281*u - 101405. Let l be d(5). Determine a so that 3/8*a**2 + 0 + l*a - 1/8*a**3 = 0. 0, 3 Factor 2*b**2 + 3609*b + b**2 + 10614483 + 10228*b - 2551*b. 3*(b + 1881)**2 Let f(d) = d**2 + 3*d - 2. Let a(y) = 12*y**2 + 256*y + 632. Let i(k) = 2*a(k) - 28*f(k). Factor i(b). -4*(b - 110)*(b + 3) Let o(g) = -20*g**2 + 296*g + 476. Let v(z) = -2*z**2 + 33*z + 53. Let t(r) = 3*o(r) - 28*v(r). Find f such that t(f) = 0. -7, -2 Factor -208*x - 18472*x**4 - 2719*x**2 + 17563*x**4 - 2721*x**3 - x**5 - 698*x. -x*(x + 1)**3*(x + 906) Let z(o) = o**2 - 5*o + 1. Let f be z(5). Let p(w) = 59*w**2 + w - 1. Let i be p(f). Find a such that 6*a**2 + 36*a + 4 - i*a + 2 + a**2 = 0. 2/7, 3 Let v(a) be the third derivative of a**7/945 - a**6/27 + a**5/5 - 13*a**4/27 + 17*a**3/27 - 4*a**2 - 288. Find w such that v(w) = 0. 1, 17 Suppose -5*b + 4 = -6*b - 2*n, 0 = -5*n - 15. Solve 77*v + 60 - 14*v + 5*v**3 + 32*v + 52*v**b - 12*v**2 = 0. -4, -3, -1 Let i be 0 + (-4)/(96/1062) - -4. Let t = i + 163/4. Solve 0 - 1/2*k**4 + 1/2*k**2 + 0*k - t*k**3 + 1/2*k**5 = 0 for k. -1, 0, 1 Suppose -o = 8*o - 180. Suppose 41 = 5*i - 2*f + 4*f, 2*i = f + o. Factor 6*q**2 - 2*q**3 - i*q + 3*q + 2*q. -2*q*(q - 2)*(q - 1) Let l(z) be the third derivative of z**7/210 + 21*z**6/40 + 887*z**5/60 - 1177*z**4/8 - 726*z**3 + 345*z**2. Factor l(b). (b - 4)*(b + 1)*(b + 33)**2 Let n = -73476 + 661285/9. Factor -17/9*t + 0 + n*t**2. t*(t - 17)/9 Suppose 0 = 4*r - j - 37, -r + 12 = j - 4*j. Suppose -22*h + 16*h = -114. Factor h*b + 6*b - 15*b**2 - r - 9*b + 5*b + 3*b**3. 3*(b - 3)*(b - 1)**2 Let v(g) = 7*g + 4. Let y be v(1). Let x be y/3 + (-9)/(-27). Find q, given that 2 + 4*q + x*q + q**4 - 6*q**2 - 5 = 0. -3, 1 Find h such that -2373 + 51*h**4 + 756*h + 1620 - 48*h**4 - 756*h**3 + 750*h**2 = 0. -1, 1, 251 Suppose -19*w - 6 = -22*w. Let s be (6 - 192/36)*8. Find n, given that -s*n**w + 4/3*n**3 + 0 + 4*n = 0. 0, 1, 3 Factor 219*k + 0*k**2 + 270 - 318 + 2538 - 3*k**2. -3*(k - 83)*(k + 10) Let z(r) be the first derivative of 4*r**3/9 + 572*r**2/3 + 380*r - 1154. Factor z(s). 4*(s + 1)*(s + 285)/3 Let u(k) = 29*k**4 + 7*k**3 - 13*k**2 - 3*k + 8. Let j(c) = 64*c**4 + 14*c**3 - 26*c**2 - 6*c + 14. Let m(h) = 5*j(h) - 11*u(h). Suppose m(l) = 0. Calculate l. -1, 2, 3 Find h such that 6204/5*h - 4/5*h**3 + 1016/5*h**2 + 1872 = 0. -3, 260 Let y(t) be the second derivative of 14*t**6/15 + 233*t**5/5 + 22*t**4 + 10*t + 16. Let y(p) = 0. What is p? -33, -2/7, 0 Factor -19*k**2 - 42 + 3*k**3 - 24*k**2 - 270 + 76*k**2 + 0*k**3 - 102*k. 3*(k - 4)*(k + 2)*(k + 13) Let s = 206 + -193. Factor -4*q**2 - s + 10*q - 28 - 7 - 42*q. -4*(q + 2)*(q + 6) Let q(b) be the first derivative of b**3/6 + 61*b**2/4 + 59*b + 1548. Factor q(l). (l + 2)*(l + 59)/2 Let i(k) = -25*k**3 + k - 2. Let y(o) = 48*o**3 - 2*o**2 + 646*o + 652. Let j(d) = 4*i(d) + 2*y(d). Factor j(x). -4*(x - 18)*(x + 1)*(x + 18) Find v such that -2715*v**2 + 5432*v**2 - 2720*v**2 - 1029*v = 0. -343, 0 Suppose -250*n = -255*n - c + 17, 5*n + 4*c - 23 = 0. Factor 1/2*k**2 + n*k + 9/2. (k + 3)**2/2 Let r = -47/8109 + 13562/8109. What is u in -3/2*u - 1/6*u**2 + r = 0? -10, 1 Solve 0 + 1185/2*g**3 + 116427/2*g - 117609/2*g**2 - 3/2*g**4 = 0. 0, 1, 197 Let a be 13/2*6/(-3). Let d = a - -15. Solve -8*k - 9*k**3 - 2*k**d + 8*k = 0 for k. -2/9, 0 Let c = -18027 - -18029. Let a(u) be the second derivative of u + 0 - 3/2*u**c + 3/16*u**4 - 3/8*u**5 + 3/40*u**6 + 3/2*u**3. Let a(l) = 0. What is l? -1, 1/3, 2 Let g(p) be the second derivative of -5*p**7/14 + 6*p**6/5 + 3*p**5/20 - 3*p**4 + 2*p**3 - 214*p + 1. Find j such that g(j) = 0. -1, 0, 2/5, 1, 2 Let g be 541/280 + (-7 + 4617/665 - (-3 - -3)). Find m, given that -3/8*m**3 + g*m**2 - 9/8*m - 27/8 = 0. -1, 3 Let u be ((-4634)/(-770) - (-4)/22) + (-112)/(-16). Factor -u*h + 0 - 3/5*h**2. -3*h*(h + 22)/5 Let o = -10/14843 - -489899/118744. Factor -o*g**2 + 0 + 21/8*g**3 + 15/8*g - 3/8*g**4. -3*g*(g - 5)*(g - 1)**2/8 Let a(o) = -25*o**3 + 2119*o**2 - 1906*o - 216. Let l(q) = -101*q**3 + 8476*q**2 - 7626*q - 868. Let n(p) = -17*a(p) + 4*l(p). Factor n(r). (r - 100)*(r - 1)*(21*r + 2) Suppose 976/13*z - 2/13*z**2 - 119072/13 = 0. What is z? 244 Suppose -3*y - 6913 + 2683 = -4*x, 5*x = -2*y + 5299. Find v, given that -3*v**4 + 1043 + 4*v**4 - 42*v**2 + 44*v - x - 3*v**4 + 15*v**3 + v**3 = 0. 1, 2, 4 Let i(c) be the third derivative of -c**5/510 - 2*c**4/3 + 137*c**3/51 + 180*c**2 - 2. Determine h, given that i(h) = 0. -137, 1 Let n(c) = -3*c**3 + 146*c**2 + 709*c - 22. Let w(v) = -4*v**3 + 182*v**2 + 886*v - 28. Let g(r) = -14*n(r) + 11*w(r). Factor g(f). -2*f*(f + 6)*(f + 15) Let g(k) = 3*k**2 - 412*k + 10. Let q(x) = -5*x**2 + 826*x - 18. Let m(y) = -9*g(y) - 5*q(y). Factor m(d). -2*d*(d + 211) Let x = -5023 + 5039. Let i(h) be the third derivative of 0 + 1/135*h**5 + 0*h - x*h**2 + 1/54*h**4 - 4/27*h**3. Factor i(v). 4*(v - 1)*(v + 2)/9 Let v(x) be the first derivative of 80*x**2 - 640/3*x - 25/4*x**4 + 53 + 1/3*x**5 + 230/9*x**3. Factor v(f). 5*(f - 8)**2*(f - 1)*(f + 2)/3 Factor 1/3*k**4 + 3741*k**2 + 10404 + 14076*k + 208/3*k**3. (k + 1)*(k + 3)*(k + 102)**2/3 Let b(k) = -3*k + 41. Let i be b(13). Factor -754*m + 926*m**4 - 922*m**4 - 116*m**3 - 30*m + 896*m**i. 4*m*(m - 14)**2*(m - 1) Let t(s) be the first derivative of s**3/7 - 465*s**2/7 + 72075*s/7 + 5305. Factor t(m). 3*(m - 155)**2/7 Let w(c) = -8*c**2 + 65*c - 183. Let n(v) = -6*v**2 + 68*v - 180. Let l(k) = 5*n(k) - 4*w(k). What is i in l(i) = 0? -42, 2 Let t(j) be the first derivative of 0*j**2 - 1/33*j**6 - 14/55*j**5 + 220 - 3/11*j**4 + 0*j + 0*j**3. Solve t(i) = 0. -6, -1, 0 Let q = -67 - -67. Suppose q = -3*l + l + 4*j + 38, -5*j = -4*l + 91. Find w, given that -l*w**4 - 6*w**5 + 35*w**4 - 3*w**3 + 3*w**5 = 0. 0, 1 Let v(s) be the second derivative of s**5/30 - 7*s**3/9 - 2*s**2 + 1278*s. Suppose v(t) = 0. What is t? -2, -1, 3 Let b be (2 + -3 + -1)*(60/6 - 13). Let z(d) be the second derivative of 3/20*d**4 + 0 + 1/5*d**2 - 13*d + 1/150*d**b - 7/30*d**3 - 1/20*d**5. Factor z(a). (a - 2)*(a - 1)**3/5 Let m = -257 + 259. Find v, given that -v + 70107*v**m + v**5 + 0*v**4 - 2*v**4 - 70105*v**2 = 0. -1, 0, 1 Suppose -1308*d**2 + 1313*d**2 - 1 + 11*d + 199*d + 1 = 0. What is d? -42, 0 Let v = -45 - -63. Let x be (0 + -6)/(v/(-4))*6. Factor -3*p**2 - 15*p - x - 2 - 2*p**2 + 0. -5*(p + 1)*(p + 2) Let x(n) be the third derivative of -1/20*n**5 + 0 + 0*n - 21/4*n**4 - 104*n**2 + 0*n**3. Factor x(j). -3*j*(j + 42) Let p(u) be the third derivative of -u**6/60 - 752*u**5/15 - 3005*u**4/12 - 1502*u**3/3 + 3*u**2 - 59*u. Solve p(g) = 0. -1502, -1 Let m = -1724/105 + 2204/105. Solve 44*n**2 - m*n - 16/7 = 0 for n. -2/11, 2/7 Factor 0*g + 81/4 - 1/4*g**2. -(g - 9)*(g + 9)/4 Suppose 2*j + 2040 = -2*l, -1602 - 435 = 2*l + 5*j. Let o = l - -1021. Let 10/13*h + 2/13*h**2 + o = 0. What is h? -5, 0 Let f(m) be the third derivative of -m**7/42 + 5*m**6/6 + 11*m**5/2 + 85*m**4/6 + 115*m**3/6 - 1104*m**2. What is p in f(p) = 0? -1, 23 Let d(n) be the first derivative of -n**6/24 - 5*n**5/4 + n**4/8 + 25*n**3/6 - n**2/8 - 25*n/4 + 308. Let d(k) = 0. Calculate k. -25, -1, 1 Let t(f) be the third derivative of -f**8/280 - 439*f**7/525 - 3313*f**6/60 - 37009*f**5/150 - 2172*f**4/5 - 1728*f**3/5 - f**2 - 1265. What is s in t(s) = 0? -72, -1, -1/3 Let 0*h + 2/7*h**4 + 0 + 8/7*h**2 - 8/7*h**3 = 0. Calculate h. 0, 2 Let d be 1/5 + 772/(-60) + 13. Let m(c) be the first derivative of -d*c**3 - 3/2*c**2 + 0*c + 15. Solve m(y) = 0. -3, 0 Suppose 8*v + 197 = 221. Let k(j) be the first derivative of 3/4*j**
{ "pile_set_name": "DM Mathematics" }
3. Let r be u(-4). Suppose 9 = f + r. Let m = -5 - f. Which is greater: -10 or m? -10 Let a be (26 - 22 - (0 + 1)) + -2. Let o = -9 - -16. Let b = o - 11. Which is smaller: a or b? b Let p = 8.411 + -7.69. Which is greater: p or 1? 1 Let n = 1.152 - -180.748. Let c = -217 + n. Let m = 35 + c. Which is smaller: m or 5? m Suppose 0 = -7*u - 33 - 72. Let t(k) = -k**3 + 15*k**2 - 27*k - 1. Let z be t(13). Which is bigger: u or z? z Let w = -13 - -13.24. Let v = -0.14 + w. Suppose -5*t - 15 = -50. Which is greater: t or v? t Let j(v) = -2*v - 14. Let n be j(-8). Suppose n*b + 132 = -4*b. Which is smaller: -24 or b? -24 Let f = -1 + -1. Let c be -20 + -4*(-3)/6. Let a = 15 + c. Is a greater than f? False Let k = 15.575 + -15.5. Is k greater than -1? True Suppose -6 = -w + a, -3*w = 2*a - 3*a - 10. Suppose -18 = -w*r - 2. Let g = -10 + r. Is g at most as big as 0.3? True Let o be (-24)/(-14)*(-14)/10*-45. Let c = -107 + o. Which is smaller: c or 4/19? 4/19 Suppose -235 = 3*u + 5*z, 2*u - 77*z + 162 = -79*z. Which is bigger: -5 or u? -5 Suppose -a + 61 = -5*y, -2*a + 5*y + 0*y + 132 = 0. Suppose c = -2*k - 37 + 180, -11*k = 2*c - 790. Is k > a? True Suppose -2*w - 178 = -3*n + 288, 0 = -4*n + w + 618. Which is smaller: 151 or n? 151 Let a be (-5)/(-10)*0/2. Let u be (8/14 + 0)/(18/21). Which is smaller: a or u? a Let u be 10/(-45) + (3 - (-50)/(-18)). Is u <= -372? False Let m = 14 + -12. Let h = 7 - m. Let c = h + -5. Is 1/3 at most c? False Suppose -2*x + 2*j + 28 = -3*j, 0 = 2*x + 2*j. Let h be ((-2)/x)/(17/544). Are h and -15 equal? False Suppose 0 = 5*q + z - 24, 0 = -5*q + 4*q + 4*z - 12. Let u be (-5 + q)*12/11. Suppose 4*i = r - 0 + 1, 3*r + 3 = 2*i. Which is smaller: u or i? u Let l = 1100 + -1099. Which is greater: l or -10/3? l Let v be (3 - 4)*3/387. Suppose -4*y + 16 = -4*c, 2*y + 2 = 5*c + 19. Which is smaller: v or y? v Let s = -16/25 - -418/575. Let b be 3*16/(-12)*-1. Suppose -2*h + b = 0, -4*h = -3*r - r - 8. Which is smaller: r or s? r Let k = 16 + -11. Suppose 15 = 3*g + 6. Let z be 6 - (1 - (-5 + g)). Which is bigger: k or z? k Let m = 237 - 235. Is -44 at most as big as m? True Let i(g) = -g**3 - 12*g**2 + 9*g + 101. Let t be i(-12). Which is smaller: -36 or t? -36 Let y = 36 + -33. Suppose -j = -7 + 2, y*v - 3*j = -18. Which is smaller: v or -6/23? v Let c be 17/(-5)*(2 + (-3)/3). Which is smaller: c or -4? -4 Let c = 325694/5 - 127675403/1960. Let r = -1/392 + c. Suppose -2*t - 12 = 2*t. Is t < r? True Let v(j) = 2*j - 18. Let g be v(10). Suppose -g*w = -w. Let f be w + 4/((-16)/10). Which is greater: f or -4? f Suppose 0 = -17*g - 241 + 37. Which is bigger: g or -13? g Let w be 12*(9/(-26) + 8/(-52)). Is -9 greater than w? False Let k = 56 + -53. Suppose -5*u = g - 21, -k*u - g = -u - 9. Which is smaller: 10/3 or u? 10/3 Suppose 0 = -124*m + 129*m + 1130. Do -225 and m have different values? True Suppose 25*i - 40*i + 240 = 0. Is 152/9 bigger than i? True Let q be (-782)/20 + -1 + 10/(-25). Let w = 40 + q. Is w smaller than 23? True Let p(c) = c**2 + 1. Let z(t) = -3*t**2 - 25*t + 42. Let q(m) = -4*p(m) - z(m). Let l be q(23). Which is greater: -4 or l? l Let f = -548 + 67957/124. Let c = f - -3/6076. Which is greater: c or 0? c Let g = -0.0316 - -0.3176. Is g at most -1? False Let r(i) = -3*i - 3. Let a be r(-6). Suppose 0 = -91*t + 1660 - 477. Which is greater: a or t? a Let y be -8*4 - (3 - 1). Let u be -29 + -1 + -2 + -2. Is y at most as big as u? True Let d be 2 + (-22318)/42 - 56/14. Let h = d - -533. Is 1 bigger than h? True Let g = -13 - -18. Suppose -2*c = -g*c. Suppose i + 3*i = 4*p + 20, 4*i + 5*p - 65 = c. Which is bigger: 11 or i? 11 Let p be (4 - 5) + (2 + -17)/(-3). Suppose 0 = -0*c + 5*c - 125. Suppose 0*o - 3*o = p*u - 15, -5*o + c = -u. Which is bigger: u or -0.1? u Suppose s - 104 = -80. Which is bigger: 123/5 or s? 123/5 Let g = -26.75 + 60. Let c = 33 - g. Which is greater: c or -1? c Suppose -3*h + 3 = -j + 19, -5*h - 21 = 4*j. Are j and 24 non-equal? True Let a(n) = 2*n**2 + 3*n - 19. Let z(k) = 6*k**2 + 8*k - 56. Let c(w) = -11*a(w) + 4*z(w). Let h be c(0). Is -16 equal to h? False Suppose -5*s + 348 + 172 = 5*h, 4*s - 380 = 5*h. Let f be 1 + 308/s - 4. Is f < 1? True Let m be 72/352*16/6. Which is smaller: 7 or m? m Let t be (-24)/10 + 8/20. Let i be (1 - 0)/(t/(-6)). Is i at most 4? True Suppose 6*p = 11*p + 4*f + 577, f = -p - 115. Are p and -117 unequal? False Suppose -72*o = -75*o. Let z = -5751/8 - -720. Which is greater: z or o? z Let q be 5 + 2*(-1371)/(-12). Let m = -227 + q. Is m smaller than 7? True Let x = 0.053 + 4.347. Let y = x - -2.6. Let w = -1 + 2. Which is greater: y or w? y Let g(i) = i**2 - 18*i - 88. Let a be g(-4). Let r be 1/61*(1 + -3). Is a less than or equal to r? False Let g = 25 + -26. Let v = -41906 + 295266/7. Let o = v + -276. Is g at most as big as o? False Let o(l) = -2*l**3 + 31*l**2 - 19*l + 51. Let j be o(15). Which is smaller: -6 or j? j Suppose 4*p = 2*o + 410, -5*p - 163 + 676 = -3*o. Let w = -861/2 + 2300/7. Let c = p + w. Which is smaller: 0 or c? 0 Let j = -813 + 812. Which is greater: j or 1/59? 1/59 Let q be (-2)/(-4) - (86/(-44) - -2). Which is bigger: q or 1? 1 Let a(f) = 3*f + 14. Let g be a(-5). Let t = -1423/6510 + 2/465. Is g at least t? False Let b = -0.0085 - -20.5685. Let f = -0.44 - b. Let p = -20 - f. Which is smaller: p or -2/7? -2/7 Let i = -0.056 - 2.644. Let s = -0.254 + 0.454. Which is smaller: s or i? i Let t = 567 + -509. Let m(d) = -3*d**3 - 3*d**2 - d. Let o be m(-3). Which is greater: o or t? t Let x = 1/171 - 173/342. Let b(j) = -2*j**2. Let h be b(-1). Is x at most h? False Let n be 22/5 + 10/(-25). Suppose n*d - 28 = -0*d. Let c(l) = l - 8. Let g be c(d). Is g bigger than 0? False Let p be (-1740)/42 - (0 - (-12)/(-28)). Is -41 != p? False Let o = 27/4 - 21/4. Let m = 28 - 19. Suppose d - 3*v = -0*d - 5, -4*v = d - m. Is d at most as big as o? True Suppose -4 = -2*g + 3*d + 18, g + 5*d = 11. Which is smaller: 5 or g? 5 Suppose 4*y = 4*q + 52, -5*y - 53 = 5*q - 6*y. Are -11 and q non-equal? True Let u(g) = g + 2. Let c be u(-5). Let a be 167/42 + -24 + 20. Let b = 5/14 + a. Which is smaller: b or c? c Suppose -1054*p = -1059*p - 10. Which is greater: p or -24/7? p Let l = -421/5773 + -48800369/300196. Let g = 651/4 + l. Is g at least -1? True Let u be (19/(-6))/(51/(-22434)). Let n(r) = -697*r - 1. Let m be n(-2). Let b = m - u. Which is smaller: -1 or b? -1 Let o = 24769/469 + -370/7. Let j = o - 588/335. Suppose z + 28 = -4*n - 3*z, -2*n + 2*z + 6 = 0. Is j smaller than n? False Let l be (-5)/(-11850)*512/6. Let n = l + 2/237. Is n at most 0? False Let s(p) = p**3 - 16*p**2 - 22*p + 79. Let v be s(17). Which is smaller: v or -11? -11 Let t(h) = 4*h**2 - 31*h + 59. Let f be t(7). Which is greater: f or 26? f Let j = -34 - -22. Let w = j - -55. Which is smaller: w or 1? 1 Let k = -328 - -209. Which is greater: -118 or k? -118 Let j = 151.1 + -504.1. Which is bigger: 0 or j? 0 Let s be -1 + (-704)/(-6) + (-33 - -36). Is 119 at most as big as s? True Let x be 102/27 + 2 + 14/63. Suppose -3*i = a + 36, 5*a - x*a = 5*i + 46. Is -21 < a? False Let m = -4247131/92697 + -7/8427. Is m > -45? False Let v(q) = -q**2 + 2*q + 51. Let j be v(-5). Which is smaller: 22 or j? j Suppose -4*j = -60 - 32. Suppose 5 = -3*o + j. Do 3 and o have the same value? False Suppose -19 = 6*a - 223. Let h = 43 - a. Which is smaller: 8 or h? 8 Suppose -3*p = 4*w + 3, -2*w = -7*w + 5*p + 40. Suppose 5 = -5*k - w*f, -5*k + 35 = -0*k - 5*f. Let m be (-5)/(-1)*-2*(-2)/10. Is k equal to m? True Let m = 93 + -68. Suppose y = -1 + 33. Let v = y - m. Which is smaller: v or 8? v Let s(w) = -w - 10. Let f be s(-8). Let y be 6/(-8) + f/(-4). Which is greater: y or 0? 0 Let j be (-8)/((-32)/(-28) - -2). Let n be (-1 + 0)/2*8. Is n >= j? False Let c = -177 + 150. Which is smaller: c or -221/8? -221/8 Let n = -539 - -9166/17. Let m = 3 + -8. Let x = m - -5. Which is smaller: n or x? x Let k(g) = 7*g**2 + 2*g - 23. Let j(b) = b**2 - b - 1. Let y(x) = -6*j(x) + k(x). Let i be y(3). Is i greater than or equal to 15? True Let m(y) = -y**2 + 12*y + 18. Let x be m(13). Suppose 2 = -7*v - x. Do -2/81 and v have the same value? False Let v = 0.89 + 0.11. Let b = v + -1. Let y = 3.9
{ "pile_set_name": "DM Mathematics" }
by 35335? 521 What is the remainder when 4106935 is divided by 4416? 55 Calculate the remainder when 712705 is divided by 118768. 97 Calculate the remainder when 703368 is divided by 2125. 2118 What is the remainder when 39404379 is divided by 2733? 2718 Calculate the remainder when 27440519 is divided by 3048944. 23 Calculate the remainder when 141073292 is divided by 5642931. 17 What is the remainder when 2279749 is divided by 626? 483 Calculate the remainder when 76772 is divided by 38159. 454 Calculate the remainder when 12931358 is divided by 5018. 4990 Calculate the remainder when 32304 is divided by 10560. 624 Calculate the remainder when 55391300 is divided by 125. 50 Calculate the remainder when 235287827 is divided by 1894. 1889 What is the remainder when 590801 is divided by 117539? 3106 What is the remainder when 22093456 is divided by 2761682? 0 What is the remainder when 87486 is divided by 20728? 4574 What is the remainder when 27827516 is divided by 40? 36 Calculate the remainder when 474601 is divided by 1970. 1801 Calculate the remainder when 9541396 is divided by 1626. 28 What is the remainder when 4718744 is divided by 2076? 2072 Calculate the remainder when 196662 is divided by 11531. 635 Calculate the remainder when 28978559 is divided by 585. 584 What is the remainder when 35824228 is divided by 78? 76 Calculate the remainder when 68910590 is divided by 8745. 8735 Calculate the remainder when 284264 is divided by 10141. 316 What is the remainder when 92424228 is divided by 1400367? 6 Calculate the remainder when 82081 is divided by 437. 362 Calculate the remainder when 172734 is divided by 17261. 124 What is the remainder when 77530 is divided by 9690? 10 Calculate the remainder when 13762006 is divided by 156. 154 What is the remainder when 1448249199 is divided by 2274? 2271 Calculate the remainder when 638354 is divided by 638273. 81 What is the remainder when 117677 is divided by 1390? 917 What is the remainder when 10025471 is divided by 515? 481 Calculate the remainder when 389951 is divided by 963. 899 Calculate the remainder when 840307 is divided by 38. 13 Calculate the remainder when 4827957 is divided by 482764. 317 Calculate the remainder when 2771774 is divided by 1385818. 138 Calculate the remainder when 100006 is divided by 7131. 172 Calculate the remainder when 124429 is divided by 30905. 809 Calculate the remainder when 13357431 is divided by 180. 171 Calculate the remainder when 74876 is divided by 37432. 12 What is the remainder when 2172273 is divided by 284? 241 What is the remainder when 45207 is divided by 2288? 1735 What is the remainder when 25580364 is divided by 43? 8 Calculate the remainder when 229972 is divided by 11496. 52 What is the remainder when 3463011 is divided by 2060? 151 What is the remainder when 2770200816 is divided by 1609? 1606 Calculate the remainder when 9790563 is divided by 1631760. 3 What is the remainder when 28468379 is divided by 41? 29 Calculate the remainder when 507909 is divided by 6348. 69 What is the remainder when 43951428 is divided by 10? 8 Calculate the remainder when 92470 is divided by 143. 92 What is the remainder when 2292031 is divided by 304? 175 What is the remainder when 29015 is divided by 2920? 2735 What is the remainder when 46271 is divided by 1769? 277 Calculate the remainder when 25214669 is divided by 1558. 1555 What is the remainder when 7002851 is divided by 4355? 11 Calculate the remainder when 506822 is divided by 565. 17 What is the remainder when 635411 is divided by 26459? 395 Calculate the remainder when 174668 is divided by 1764. 32 What is the remainder when 191149 is divided by 20221? 9160 What is the remainder when 4823278 is divided by 1485? 1483 What is the remainder when 428539 is divided by 432? 427 Calculate the remainder when 1969172 is divided by 984478. 216 What is the remainder when 122388 is divided by 3387? 456 Calculate the remainder when 11378209 is divided by 474092. 1 What is the remainder when 9566576 is divided by 2068? 8 What is the remainder when 972252 is divided by 408? 396 What is the remainder when 132549 is divided by 241? 240 What is the remainder when 68734607 is divided by 95? 17 What is the remainder when 609258 is divided by 399? 384 Calculate the remainder when 4809851 is divided by 424. 419 What is the remainder when 846117 is divided by 423020? 77 What is the remainder when 21287195 is divided by 252? 251 What is the remainder when 49114 is divided by 12221? 230 What is the remainder when 69857 is divided by 582? 17 Calculate the remainder when 358985631 is divided by 32. 31 Calculate the remainder when 205294 is divided by 219. 91 Calculate the remainder when 2400571 is divided by 100. 71 What is the remainder when 368646 is divided by 1330? 236 What is the remainder when 51271 is divided by 1900? 1871 Calculate the remainder when 88494 is divided by 10784. 2222 Calculate the remainder when 67009129 is divided by 50. 29 Calculate the remainder when 356671 is divided by 71236. 491 Calculate the remainder when 110414 is divided by 36360. 1334 Calculate the remainder when 1242585 is divided by 455. 435 What is the remainder when 61530 is divided by 60422? 1108 What is the remainder when 229918 is divided by 45714? 1348 What is the remainder when 7547360 is divided by 4388? 0 Calculate the remainder when 281700 is divided by 23473. 24 What is the remainder when 6475785 is divided by 40728? 33 What is the remainder when 2596454 is divided by 956? 914 What is the remainder when 37071 is divided by 2337? 2016 Calculate the remainder when 9282579 is divided by 2320643. 7 What is the remainder when 31394817 is divided by 221? 220 Calculate the remainder when 731160 is divided by 78. 66 What is the remainder when 362865 is divided by 120892? 189 What is the remainder when 4361891 is divided by 2377? 96 Calculate the remainder when 7019287 is divided by 11. 0 What is the remainder when 79256 is divided by 5974? 1594 Calculate the remainder when 8320987 is divided by 2611. 2341 Calculate the remainder when 7394682 is divided by 593. 565 Calculate the remainder when 1327527 is divided by 452. 3 Calculate the remainder when 6452079 is divided by 121. 117 Calculate the remainder when 15557422 is divided by 87401. 44 Calculate the remainder when 2095956 is divided by 25252. 40 What is the remainder when 956206 is divided by 318437? 895 What is the remainder when 1175574 is divided by 3880? 3814 Calculate the remainder when 67182205 is divided by 296. 269 What is the remainder when 54838187 is divided by 110? 107 Calculate the remainder when 1365940 is divided by 746. 14 What is the remainder when 1290335 is divided by 31471? 24 Calculate the remainder when 1091528 is divided by 20213. 26 Calculate the remainder when 3111578 is divided by 388946. 10 What is the remainder when 53729718 is divided by 9648? 6 What is the remainder when 62118 is divided by 54863? 7255 Calculate the remainder when 1961910 is divided by 32. 22 What is the remainder when 79164 is divided by 1127? 274 Calculate the remainder when 3779754 is divided by 60. 54 What is the remainder when 16307702 is divided by 14? 12 Calculate the remainder when 151781 is divided by 15177. 11 What is the remainder when 17762998 is divided by 60? 58 Calculate the remainder when 5733862 is divided by 36. 34 Calculate the remainder when 16630888 is divided by 2375837. 29 Calculate the remainder when 18459540 is divided by 51. 39 What is the remainder when 761807 is divided by 232? 151 Calculate the remainder when 9402619 is divided by 2378. 7 What is the remainder when 38347027 is divided by 30? 7 What is the remainder when 529153 is divided by 11258? 27 What is the remainder when 78777 is divided by 15744? 57 Calculate the remainder when 1130509 is divided by 49150. 59 Calculate the remainder when 7406 is divided by 224. 14 Calculate the remainder when 1543112 is divided by 2063. 2051 What is the remainder when 8669743 is divided by 327? 319 What is the remainder when 16375 is divided by 13756? 2619 Calculate the remainder when 135511 is divided by 60. 31 What is the remainder when 10486622 is divided by 4364? 4294 Calculate the remainder when 7031033 is di
{ "pile_set_name": "DM Mathematics" }
9 for m. -3 Suppose 3118 = -5*f - 2*b, 0 = -5*f + 17*b - 22*b - 3115. Let l be 149/8 + (-13)/(f/18). Solve l = 2*p - 4*x + 1, 4*p - 26 = 3*x for p. 5 Suppose -22 = -3*j - 4*h, j - 4*h + 14 = -0*j. Suppose 0 = -3*i + 39 + 6. Let v = i + -11. Solve j*m = 4*a, -v*a - m = -2*m + 4 for a. -2 Let g = -241 - -244. Solve -5*j + 8 = -g*v, 5 = -5*v + j + 21 for v. 4 Let a = 241 + -237. Solve l + 2*i = 4*l + 21, l - a = -3*i for l. -5 Suppose -s = 2*h - 10, -5*h + 22 = 2*s - 3. Solve -12 = -4*v - s*g + 4*g, 4*g = -v + 8 for v. 4 Let q = -133 + 143. Solve q*b + 3*h = 5*b - 10, 30 = -b + 5*h for b. -5 Suppose 5*y = 1 - 86. Let q = -15 - y. Suppose -2*c - 5*r = -3*r - 34, -2*c + 25 = -r. Solve 5*d + 14 = -q*h, 4*h - 4 = -d - c for h. -2 Suppose -8*s - 8*s = -64. Solve -2*m - 11 = 4*f - f, -s*f + 3*m = 9 for f. -3 Let m be (1 - 4)*2/(-3). Suppose -m*l = 4*z - 16, 0 = -2*l + 4*z - 4 - 4. Suppose -3 = -l*d + 1. Solve -5*c = d*u - 4*c + 9, -3*c + 17 = -5*u for u. -4 Suppose 1 + 4 = y. Suppose -2*q = -3*a + 5 - 0, 2*a = y*q - 4. Suppose -l - 4 = -q*l. Solve 3*h + l*k - 3 = 7*k, -29 = h + 5*k for h. -4 Let j(z) = 6*z**3 - 2*z**2 + 1. Let k be j(1). Solve -u = -5*n + u + 26, 0 = -k*n + u + 23 for n. 4 Suppose 2*j = -i - 3*i + 400, 0 = -4*i + 20. Let g be j/(-8) - 1/4. Let o be 16/56 + g/(-14). Solve 0 = -o*t - 3*u + 23, -5*t + 2 = -3*u - 3 for t. 4 Suppose -5*v = l - 127, 4*l - 290 - 252 = -3*v. Let i = l - 133. Solve i*x + 8*k - 4*k = 4, -4*k + 8 = 0 for x. -1 Let f = 47 - 38. Suppose -f*h + 3*h = -24. Solve o = h*o + g + 5, -3*g = 5*o + 3 for o. -3 Let p = 15 - 12. Suppose 6*z - p*z + 65 = 5*i, 3*i = z + 35. Let j be (-129)/(-27) + 8/36. Solve -28 = -2*n - j*v, -2*v + i = n - 2 for n. 4 Let u = 9 - 3. Suppose -c + 19 = 3*d, d = -5*c + u*d + 35. Solve 8 = -3*f - b - c, 0 = -2*f - 3*b - 19 for f. -5 Let o(w) = w**3 - w. Let t be o(-2). Let z be (-6 - t)/(1/(-1)). Suppose z = h - 4*u - 28, 3*h + 3*u = 5*h - 31. Solve -n = 2*c + n + 8, 2*c + h = -4*n for c. -4 Suppose -3*s + 3 = 3*f, 2*f = -f + 2*s + 18. Suppose 4*n + f*m = 48, -5*m = -2*n - 3 + 6. Solve 0 = 3*c + 5*a - 11, -3*a + 2*a + n = 4*c for c. 2 Let x(w) = -89*w - 262. Let q be x(-3). Solve -1 = -3*d - 2*k - 10, 2*k - 31 = q*d for d. -5 Let z = -205 - -312. Let m = z - 102. Let p(a) = 7*a**2 + a. Let s be p(1). Solve 4*j - 22 = -m*w, 3*w = -2 + s for j. 3 Suppose -24*y - 28 + 100 = 0. Solve 0*b = 2*r - y*b + 16, -20 = 2*r - 5*b for r. -5 Suppose 5 = m - 3*p, 0 = -3*m - p + 25. Suppose -k + m = k. Let y be -4*-14*(-1)/(-8). Solve c - y = 2*z, k*z - 3*z - 4*c = -7 for z. -3 Let w = -268 - -278. Solve -8 = 4*c, 4*c + w = r - 3*r for r. -1 Let m be 10/(-25)*(-10)/4. Let k be ((2 - m) + -2)*(-8)/4. Solve 4*j = -12, 5*v + k*j + 29 = -j for v. -4 Suppose -8 = -3*x - x. Suppose 2 = 2*v + 5*y, 0*v - 18 = -x*v - y. Suppose -d + p + v = 3*d, -p - 8 = -3*d. Solve -7 = -5*o + d, -4*c + 14 = 5*o for c. 1 Let j(q) = q**3 + 7*q**2 - 8*q + 5. Let y be j(-8). Suppose y*l = 2*p + 12, -3*l + 4*p + 8 = -l. Solve 5*h + 29 = -4*f, l*h + 2*f + 15 = -3*f for h. -5 Let p(t) = -15*t**3 - t**2 - 2*t - 1. Let n be p(-1). Solve 4*m = h - 13, 5*m - 3*h + n + 10 = 0 for m. -2 Let k(i) = -i**2 - 2*i - 3. Let n be k(-4). Let h = -7 - n. Suppose 2*x + 15*x + 8*x = 0. Solve -16 = 4*b - 4*f, -2*b + x*f = 4*f - h for b. -2 Suppose 81*s = 87*s - 18. Solve -4*l - b - 5 = 1, 0 = s*l - 2*b + 10 for l. -2 Let z(o) be the second derivative of -o**3/6 + 15*o**2/2 - 23*o. Let q be z(13). Solve -2*h = 2*l + l - q, -l - 4 = -4*h for h. 1 Let r be (-1)/(2/(-12)*2). Let y(n) = -n**2 + 6. Let g be y(r). Let q(a) = -6*a + 2. Let o be q(g). Solve 0 = -4*w + o, 4*u = -2*w + 6 + 8 for u. 1 Let j(h) = h**2 - 10*h + 20. Let y be j(4). Let d be (-8)/y - 2 - -2. Solve 0 = d*b - 4*s + 30, -5*b - s = 4*s for b. -5 Suppose 3*f + f - 5 = -3*d, -4*f = -5*d + 19. Suppose 8*l - 3*l + 20 = 5*h, -d*h + 32 = 2*l. Solve -4*z = 5*c - h + 15, 17 = -5*c + z for c. -3 Let r(y) = 3*y**2 - 2*y**2 + 0*y**2 - 10*y - 5 + 4*y. Let t be r(-3). Solve 3*f + 4*s - t = 0, s = f + 5*s - 18 for f. 2 Let y = 353 + -209. Let f = 145 - y. Solve 0 = -3*c - 12, 0 = -3*d - 2*c + 3 + f for d. 4 Let v be 0 - (6/39 + 280/(-130)). Solve 2*w - 5*z + 0*z = -10, -4*w + v*z = -12 for w. 5 Let m = -1781 + 1783. Solve 2*k + x = -3, 0*x - x + 5 = -m*k for k. -2 Let q = -16 - -18. Suppose 3*a = -q*c + 35, -a + 46 = 4*c - 3*a. Let h = c - 11. Solve -5*r = -h*v - 2*r, v + r = 0 for v. 0 Suppose -117 = -47*k + 118. Solve 9 = k*s - 3*s - 5*o, 4*s = 2*o + 10 for s. 2 Let n be 3 + 14/(-7) + 1. Let a(l) = 5*l - 13. Let g(j) = j - 3. Let r(x) = 4*a(x) - 18*g(x). Let d be r(n). Solve 14 = 2*b + 4*t, d*t = 5*b + t + 10 for b. 1 Let w(p) = -2*p - 1. Let c be w(-1). Let y be 0/(c + 2 + -1). Let n be (y + 0)/(-3 - -5). Solve 2*x = -r + 1, -x + r - 4*r + 3 = n for x. 0 Suppose 0 = -5*l - 4*o + 5*o + 24, 4*o = 5*l - 21. Solve l*b + 4*t = -1 - 2, 2*b - 2*t = -12 for b. -3 Let n = 37 - 34. Solve 0*l + 5*a - n = -2*l, 0 = 4*l + 4*a - 12 for l. 4 Let n be (-63)/(-13) + (-20)/(-130). Let d be ((-28)/7 - -5)/((-2)/(-10)). Solve n*a + 11 = -3*g, 0 = -a + d*g - 13 - 6 for a. -4 Let v = -520 - -534. Solve 3*n + v = s + 5*n, -3*s - 2*n + 22 = 0 for s. 4 Suppose -49*w + 64*w - 15 = 0. Solve -u + 2*m = -9, 4*u - w - 15 = 4*m for u. -1 Suppose -4*p - 24 = -2*j, -2*j + 3*p = -16 - 3. Solve -j = -2*a, 7*a = -3*r + 3*a + 1 for r. -1 Suppose 3*t - z = 10, -6*t + 3*z + 5 = -2*t. Suppose 3*n - 6 = 2*n. Solve -t*y + 2*y + 2 = -j, -5*j - y = -n for j. 1 Let y(r) = 13*r + 32. Let z(k) = -40*k - 95. Let i(n) = -10*y(n) - 3*z(n). Let v be i(-4). Solve v*x + 4*t - 25 = 0, x + 1 - 6 = 5*t for x. 5 Let m = 0 - -12. Suppose 13*l = 7*l + m. Solve 5*p - l*t = 35, -4*t + 7 = 5*p + 2 for p. 5 Let s(o) = o**2 - 4*o - 27. Let q be s(-4). Let k be 3 + (-12)/4*1. Solve k = 2*n - q*u + 23, 4*n - 24 = -2*u - 2*u for n. 1 Let j be (-52)/(-39)*-3*(-1)/2. Solve 5*q - 5*c + 5 = 0, c + 12 = -j*c for q. -5 Suppose -154 + 14 = -4*n. Let b = 38 - n. Solve 2*r - g = 7, -b*r + 2*g - g + 8 = 0 for r. 1 Let g(w) = 2*w - 9. Let f be g(5). Let v be (1 - 2)*-2*f. Solve h + 22 = -h + 4*u, u + v = -h for h. -5 Suppose 0 = -2*f + 5*f - 27. Let x be (4 + -1 - 5)/(8/(-28)). Let h = f - x. Solve 2*n - 4*u + h + 8 = 0, -3*n + 35 = 4*u for n. 5 Let i be ((-4)/9)/(-3 - 156/(-54)). Solve 0 = 5*c + 5*h - 30, -i*c = 2*h - 0*h - 14 for c. 1 Let q = 2312 + -2307. Let l(n) = n + 10. Let h be l(-7). Solve d - h*a = 15, 2*d - 4 = -q*a - 18 for d. 3 Let s be -8 - -9 - (-9 + 2). Let a = s - 7. Solve -k = -3*c - 1, -10 = 3*c + 4*k + a for c. -1 Let l be (-36)/(-234) + 126/26. Suppose 80 = 4*x - d + 2, l*d = -2*x + 50. Solve 4 - 19 = 3*w, 4*w + x = m for m. 0 Let w = 408 + -406. Solve -5*m + 2*m - 4*d - 1 = 0, -m = -w*d + 7 for m. -3 Let q = 2182 - 2171. Solve 4*w = -5*p, q*p = 4*w + 15*p for w. 0 Suppose 0 = 2*g - 4*f + 10, -34 = g - 7*g - 4*f. Solve -t - t - 14 = 4*a, -g*t + 3 = -2*a for t. -1 Suppose 86 - 86 = -f. Suppose i - 3*v + 5 = f, 2*v - 6*v = -12. Solve -i*y - 26 = -8*y - 2*g, 4*g - 40 = -5*y for y. 4 Suppose w + 5*h - 47 = 0, -3*w = -5*h + 20 - 121. Let m = w - 34. Solve m*u - 1 = -b, -1 = 2*u + 1 for b. 4 Suppose 4*q = -8*q. Solve 2*m - s + 15 = 4*s, 5*m - 5*s = q for m. 5 Let k(x) be the second derivative of -5*x**3/6 + 35*x**2/2 - 4*x. Let v be k(6). Solve 0 = -o + 2*g - v, -o + 3*g = -3*o - 3 for o. -3 Suppose 5*l + 1 = 3*t - 13, 4*t - 4*l = 24. Suppose -r = -t*r + 28. Suppose 0 = 3*v - 0*v - 12. Solve 0 = v*g - 7*y + 3*y - r, -2*g - 5*y = 33 for g. -4 Suppose 0 = -3*w - t + 57, 0 = -4*w - 0*t + t + 69. Suppose 2*d = -d + w. Suppose -v + d + 5 = 0. Solve a - 5*a + u = -v, 4*a + 3*u + 1 = 0 for a. 2 Suppose -4*b + 2*o + 0 + 18 = 0, -29 = -2*b + 5*o. Let n = 33 + -18. Let m be (-2)/8 + 17/4. Solve b*v + 3*v + n = -5*z, -2*z + m = 0 for v. -5 Suppose -3*q - 3*i = q - 36, 0 = 3*q + 5*i - 27. Let j be (q/6)/(9/12). Solve -5*u = -j*m + 2, 2*u - 5*m + 5 = u for u. 0 Suppose 124 = -4*w + h - 5*h, -5*h + 125 = -3*w. Let t = w + 39. Solve -2*b - 35 = t*f + b, -5*b = -5*f for f. -5 Let z(l) = -l**2 - l + 8. Let d be (-5)/(-10)*-6 + (-2 - -7). Let q be z(d). Solve 0*n + q*p = -3*n + 4, n + 3*p = -8 for n. 4 Suppose -y + 2*y = 1. Let o be 52/13 + (y - 2). Solve 5 = 4*v - 4*b - 11, -2*v - o*
{ "pile_set_name": "DM Mathematics" }
tiple of 10433 and 375588. 375588 Calculate the smallest common multiple of 300 and 1476. 36900 What is the least common multiple of 2478 and 291? 240366 Calculate the common denominator of 32/467337 and 127/94822. 6542718 Calculate the smallest common multiple of 69510 and 173775. 347550 Calculate the least common multiple of 3080 and 5005. 40040 Calculate the smallest common multiple of 614860 and 25. 3074300 What is the least common multiple of 675 and 175? 4725 Calculate the smallest common multiple of 59334 and 114. 1127346 Calculate the lowest common multiple of 56 and 104212. 1458968 Calculate the least common multiple of 12 and 142768. 428304 Find the common denominator of -109/132 and -5/10788. 118668 What is the lowest common multiple of 1958 and 3916? 3916 Calculate the common denominator of 64/120591 and -30/308177. 2773593 What is the common denominator of 85/31626 and -29/5? 158130 What is the lowest common multiple of 35910 and 462? 395010 Calculate the lowest common multiple of 20492 and 94. 20492 Calculate the common denominator of -97/393366 and 5/954. 1180098 What is the smallest common multiple of 98450 and 54? 2658150 Calculate the least common multiple of 72 and 138. 1656 Calculate the least common multiple of 12008 and 2844. 108072 Calculate the common denominator of -61/389103 and 73/2721. 389103 Calculate the lowest common multiple of 10734 and 28624. 85872 Calculate the common denominator of -25/20094 and 5/918. 180846 What is the common denominator of 39/292129 and -3? 292129 Calculate the smallest common multiple of 128 and 11408. 91264 Calculate the common denominator of 109/3168 and 149/2178. 34848 Find the common denominator of 17/42632 and 97/56794. 16583848 Find the common denominator of -41/60340 and -97/18102. 181020 Calculate the common denominator of -139/1344 and -131/19008. 133056 Calculate the lowest common multiple of 783066 and 391533. 783066 What is the common denominator of -61/1887 and 199/75480? 75480 Calculate the common denominator of -32/57 and -52/1653. 1653 Calculate the common denominator of 7/1070 and -59/230. 24610 What is the common denominator of -73/21801 and -56/3? 21801 What is the smallest common multiple of 21543 and 2709? 452403 Calculate the lowest common multiple of 204 and 339932. 1019796 Calculate the least common multiple of 281391 and 33. 281391 Calculate the smallest common multiple of 7868 and 1686. 23604 What is the common denominator of -97/6 and -69/2749160? 8247480 Calculate the common denominator of 47 and 23/66152. 66152 Calculate the least common multiple of 23958 and 176. 191664 Calculate the smallest common multiple of 17034 and 984. 2793576 Calculate the lowest common multiple of 1365 and 11375. 34125 Find the common denominator of -25/346 and 3/25028. 4329844 What is the lowest common multiple of 10 and 121065? 242130 What is the lowest common multiple of 840 and 5832? 204120 Calculate the common denominator of -11/156 and 29/12202. 951756 What is the common denominator of -163/78474 and -83/3039084? 33429924 Calculate the smallest common multiple of 5 and 115306. 576530 What is the common denominator of 91/70556 and 25/558? 635004 Calculate the common denominator of -31/292 and 77/1500. 109500 What is the common denominator of -37/1068 and -55/1512? 134568 What is the lowest common multiple of 1184 and 164? 48544 Calculate the lowest common multiple of 53072 and 13268. 53072 What is the lowest common multiple of 270276 and 180184? 540552 Calculate the common denominator of -23/371688 and 7/2040. 1858440 Calculate the least common multiple of 4683 and 64447. 1353387 Calculate the least common multiple of 10792 and 684. 97128 What is the common denominator of -36/56189 and -3/7? 56189 Calculate the smallest common multiple of 2101 and 1446252. 15908772 Find the common denominator of -17/181192 and 35/12. 543576 Calculate the common denominator of 33/25 and -103/77720. 388600 What is the lowest common multiple of 21 and 56662? 1189902 Calculate the least common multiple of 472 and 472. 472 Find the common denominator of -81/20 and -93/568100. 568100 Find the common denominator of -12/35189 and 74/28791. 316701 What is the common denominator of 5/476 and 71/99850? 23764300 Calculate the common denominator of -61/40495 and -8/4895. 445445 What is the least common multiple of 1467 and 88509? 265527 What is the least common multiple of 5830 and 6996? 34980 What is the common denominator of -101/2267658 and -88/795? 11338290 What is the smallest common multiple of 14224 and 200914? 1607312 What is the common denominator of -54/2695 and 143/120? 64680 Calculate the least common multiple of 388 and 2920. 283240 Calculate the common denominator of -157/53124 and 7/106248. 106248 What is the smallest common multiple of 88 and 5632? 5632 What is the common denominator of 1/280 and 31/178680? 1250760 What is the lowest common multiple of 44856 and 44856? 44856 What is the least common multiple of 45 and 105? 315 Calculate the smallest common multiple of 605 and 8800. 96800 Calculate the lowest common multiple of 1235 and 121795. 30083365 Find the common denominator of -113/36 and -25/56628. 56628 What is the least common multiple of 8 and 76748? 153496 What is the smallest common multiple of 10 and 4946? 24730 What is the common denominator of 127/24220 and -31/84? 72660 What is the common denominator of 139/528 and 107/7548? 332112 Calculate the common denominator of -17/19434 and -101/13114. 1613022 What is the lowest common multiple of 2100 and 2184? 54600 Calculate the lowest common multiple of 1753340 and 30. 5260020 Calculate the common denominator of 29/46266 and -14/69399. 138798 What is the common denominator of -3/26843 and -31/28? 751604 Calculate the common denominator of 63/41378 and 35/21906. 372402 Calculate the smallest common multiple of 594 and 1716. 15444 Find the common denominator of -19/10 and -34/547187. 5471870 What is the common denominator of -107/34216 and 59/40? 171080 Calculate the common denominator of 57/98 and 74/407337. 814674 What is the smallest common multiple of 2490 and 90636? 453180 What is the common denominator of 115/23604 and 127/5058? 70812 Calculate the least common multiple of 6 and 30710. 92130 Calculate the common denominator of 73/30504 and 115/3444. 213528 Find the common denominator of -77/3198 and -56/559. 137514 What is the common denominator of -22/21 and -25/239283? 1674981 Find the common denominator of -67/838134 and 79/270. 4190670 What is the common denominator of 65/405573 and -53/10? 4055730 Calculate the least common multiple of 20448 and 71. 20448 Find the common denominator of 15/53 and -49/19066. 1010498 What is the lowest common multiple of 20672 and 70528? 1198976 Calculate the common denominator of -69/3644 and 29/24. 21864 What is the smallest common multiple of 2620 and 3930? 7860 Calculate the lowest common multiple of 3720 and 2760. 85560 Calculate the lowest common multiple of 26906 and 3036. 3713028 Calculate the smallest common multiple of 11904 and 10992. 2726016 Calculate the common denominator of -61/24 and -157/1512. 1512 What is the smallest common multiple of 129 and 8025? 345075 What is the common denominator of 83/1410 and 79/1866? 438510 What is the lowest common multiple of 20 and 42480? 42480 What is the common denominator of 151/11568 and 91/7230? 57840 What is the common denominator of -193/1140 and -67/66880? 200640 Calculate the smallest common multiple of 21 and 30282. 30282 What is the smallest common multiple of 1680 and 829? 1392720 What is the least common multiple of 430 and 21500? 21500 What is the lowest common multiple of 57848 and 301636? 4222904 What is the common denominator of 193/14850 and -161/270? 14850 Calculate the common denominator of 67/297 and 58/123. 12177 Calculate the common denominator of 61/1491369 and 13/4730. 14913690 What is the common denominator of 19/21824 and 199/347820? 5565120 What is the common denominator of 77/320 and 81/3830? 122560 Calculate the common denominator of 77/2153056 and -107/44. 23683616 What is the common denominator of 127/1240 and -79/2200? 68200 Find the common denominator of 99/114256 and -19/555. 1713840 Calculate the lowest
{ "pile_set_name": "DM Mathematics" }
/5? False Let u = 12 - 12. Suppose 0 = -5*g - t + 2*t - 5, u = -g + 2*t - 1. Are g and 1/18 equal? False Let q be 5/(-15) + (-37)/(-3). Let n = -10 + q. Which is smaller: 3 or n? n Suppose 3*j = -5 - 1, 4*d + 6 = -5*j. Let f = -0.1 + -7.9. Let i = -6 - f. Which is bigger: d or i? i Suppose -4*z + 1 + 13 = 2*g, 4*z - 9 = 3*g. Is -4/33 != g? True Let o(y) = y**3 + 5*y**2 + 2*y - 4. Let k be o(-3). Let g be (k/(-10))/(10/75). Let t be (-4 - g)/((-1)/1). Are t and 0 equal? False Let b(s) be the second derivative of s**3/3 + 11*s**2/2 - 2*s. Let t be b(-5). Let k = 23 - 70/3. Are k and t unequal? True Let g = -0.3 + 0.5. Let f = -0.03 + 1.23. Let n = g - f. Which is smaller: n or 0.1? n Suppose -3*n + 2*n + 1 = 0. Let f be (-3 - (-6 + 3))/n. Which is bigger: f or 4/7? 4/7 Suppose 15*q = 9*q + 138. Are q and 22 non-equal? True Let u(i) = 0*i**2 + i**2 + 0*i**2 + 1 + i - 2*i**2. Let q be u(2). Which is smaller: 1 or q? q Let b = -0.79 - 0.01. Which is smaller: b or -1/2? b Let b(h) = h**3 - 9*h**2 - 10*h - 6. Let g be b(10). Let x = -7 - g. Let w be 4/2*x/2. Is w smaller than -2? False Let d = 7 + -3. Let w = 4 - d. Let g = w - 0. Which is smaller: g or 3? g Let h = -3 + 2.4. Let a = -21.5 - -21. Let w = h - a. Which is smaller: w or -1? -1 Let o = -14 - -9. Let p = o - -4.7. Which is bigger: p or -1? p Suppose o - 15 = -2*o. Is o equal to 6? False Suppose -2*l + 5*d + 22 = 0, 5*d = -l - 6 + 2. Is l < 4? False Suppose 0*z - z - 5 = 2*i, 11 = -z + i. Which is greater: z or 0.3? 0.3 Let t be 12 + (3/3)/(-1). Let v = 21/2 - t. Is v >= 2? False Suppose -4*g + 5*j = -0*j - 10, -g - j = 2. Is g <= 16/11? True Let u = 1.7 + 0.3. Let a = u - 1. Let v = a - 0. Which is greater: v or -1/3? v Suppose -6 = 4*d - 2. Let v = 0 + d. Suppose 0*b = b. Which is smaller: b or v? v Let m = -19 + 19.01. Let b = 0.01 - m. Is 1/6 >= b? True Suppose 3*t + 2*t = 5*q - 40, -5*t + q = 28. Suppose -9 = 3*w, 5*w - 7 = -2*k + k. Suppose h = -0*h + 4*d - k, 2*h + 8 = -d. Which is smaller: h or t? h Let l = -0.6 + 12.6. Let p = l - 12.2. Is p at most -2/3? False Let p be (-4)/14 + 4514/70. Let j = -64 + p. Is j > -0.2? True Let a = 175/4 + -44. Let u = -1/2 - a. Let k = 353/555 + -4/111. Is u >= k? False Suppose 0 = -o + 4*o. Suppose 3*k = 5*z + 41, 0 = 4*k - 3*z - 30 - 32. Suppose 0*w + 4*w - 10 = -q, k = -4*q + 3*w. Which is bigger: q or o? o Let i = -332/225 - -14/9. Which is greater: 1 or i? 1 Let v be (-2)/5 - 344/(-1760). Let u = -1/22 + v. Is u bigger than -1? True Suppose -18 = -0*k + 3*k. Suppose 2*b + 4 = -5*n - 11, -n - 3 = -4*b. Which is bigger: n or k? n Suppose 2 = 3*v - 4*v. Let a = 5 + v. Is a not equal to 4? True Let j = -6077/11 + 553. Is j greater than or equal to 0? True Let g = 164/3 + -54. Which is smaller: 0.1 or g? 0.1 Let d be 24/(-32) + 22/8. Let z be d*(-4 - (-50)/12). Which is smaller: z or 1? z Suppose -5*v + o = -4*o, -5*v + 6 = o. Let z be 4 + -7 + v*3. Which is smaller: z or 1/3? z Let v be 4/10 + 72/20. Suppose 5*t + 1 = 11, -v*b + 6 = 3*t. Is 0 equal to b? True Let y(i) = 3*i + 11. Let h(w) = -16*w - 56. Let v(b) = -2*h(b) - 11*y(b). Let f be v(-11). Which is smaller: f or 3? f Suppose -m + u = -2, 0*u + u + 6 = -3*m. Let o = m - 11. Let a be (-1)/(-3) - (-4)/o. Is a not equal to 0? False Let o(q) = -q**3 + 9*q**2 + 13*q - 13. Let b be o(10). Are b and 17 equal? True Suppose 4*o = -31 + 7. Let t = 9 + -15. Is t equal to o? True Let x = 26 - 2. Suppose -5*z + x = -11. Which is smaller: z or 6? 6 Suppose -6 = -w - 5. Do w and 0 have the same value? False Let y be 0 + 0 - 4/(-16). Suppose 0 = -b - 12 + 13. Which is bigger: b or y? b Let i(w) be the second derivative of -w**5/10 + w**4/12 - w**3/6 - w. Let x be i(1). Let s = 61 + -61. Which is bigger: x or s? s Let r = -5 - -4.5. Let x = 0.4 + r. Suppose -3*a + 0 = -3. Which is greater: a or x? a Let z be -1 + -3 + 4/2. Let h(d) = d - 1. Let q be h(6). Suppose 4 - q = o. Is o less than or equal to z? False Let s be 1*(7 - 0 - 2). Let z = s + 0. Let d = -4 + z. Which is bigger: d or 1/4? d Let l = 23 - 21. Is l greater than -8? True Let b(u) = u**3 - 2*u**2 + 2*u - 1. Let f be b(2). Suppose 2 + 1 = -f*a. Is -2/11 at least as big as a? True Let u = 31 - 14. Let q = 15 - u. Which is bigger: 2/5 or q? 2/5 Let n(o) = o**3 + 14*o**2 - o - 6. Let i be n(-14). Let h be (-5 + i)*(-2)/(-6). Let c = -13 + 51/4. Which is bigger: h or c? h Let u(h) = -3*h**3 + 5*h**3 - 3*h**3 + 3*h. Let v be u(-3). Suppose -3*p - 16 = -7*p + 3*j, 2*p - 4*j = v. Which is smaller: -1/6 or p? -1/6 Let r = -20 + 37. Is r < 18? True Let l be 17/(153/246) - (-1)/(-3). Do 25 and l have the same value? False Let j = -0.6 + 0. Let b = j + -0.4. Is b > -2/3? False Let u = -20 - -36. Let b = -14 + u. Is 0 at most as big as b? True Let a = 356/7 - 51. Is -2/13 at most a? True Let g = 0.93 + -4.93. Which is smaller: 4/7 or g? g Let m = 0.1 + 0.3. Let x = m + -1.4. Let j = 0.1 - 1.1. Is j <= x? True Let x(c) be the first derivative of c**2/2 - c - 3. Let o be x(1). Which is smaller: o or 2/7? o Let x be -35 - (5 - 2)/(-1). Which is smaller: x or -31? x Let a = -17.91 + 18. Let q = a + -0.03. Is 2/3 at least as big as q? True Let q = 1.5 - 1.8. Let d = q - -0.4. Is d greater than 0.5? False Let p(o) = 4*o**3 - 2*o**2 + 7. Let n(m) = -m**3 - m**2 - 1. Let f(u) = 3*n(u) + p(u). Let l be f(5). Suppose l*r + 0 = 8. Is r >= 4/3? True Let v be ((-64)/90)/(-8)*(-190)/4. Is v at least as big as -4? False Let r = 12391 + -87896/7. Let x = r - -165. Let l be (2 + -3)*2 - -1. Do l and x have different values? True Let v be 1/(-5) - 5/(-25). Suppose 3*j + 14 = -4*s, -s - 4 = -2. Is v >= j? True Let v be ((-2)/11)/((-16)/55452). Let c = -630 + v. Let a = -5/44 - c. Which is smaller: a or -1? -1 Suppose f = -5*k - 35, -f - 4 = 3*k + 15. Let b(t) = -t**2 - 7*t + 4. Let g be b(k). Suppose -4*y - 17 = 3. Which is bigger: g or y? g Suppose -2*z = 2*z + 328. Let a be (-70)/z + (-2 - -1). Let b = 148/451 + a. Is -1 smaller than b? True Let r(c) = -c**3 - 4*c**2 + c + 2. Let j be r(-4). Is j less than 1? True Suppose 2*b + 7 = -3. Let u be (-72)/(-255) - (-2)/b. Does 0.1 = u? False Let m = -1237 - -100195/81. Which is smaller: 1 or m? m Let d = -0.2 + -0.1. Let k = 1.7 - d. Let g be (-4)/(-14) - 0/(-2). Which is greater: k or g? k Let r(t) = -t**3 + 2*t**2 + 4*t - 1. Let c be r(3). Suppose c = -3*u + 5*u. Suppose -3*d = -0 + 3. Which is smaller: u or d? d Suppose 0*k = -5*k + 10. Suppose 0*o + k*o = -12. Let m be -1 + (-10)/o + -1. Is m less than or equal to -1? False Let x = -0.1 - -0.2. Let t = 4.97 - 5. Which is smaller: x or t? t Let i be -1 + (-4)/(-1) + 2. Let v(b) = b**2 - 5*b - 4. Let g be v(i). Let f be g/(-6)*(-6)/(-10). Is 1 greater than f? True Let q be (-6)/27 + 22/18. Let r be 8 + -7 + 19/(-18). Which is smaller: r or q? r Let t = -2/10209 - 37393/204180. Let u = t - -7/12. Suppose -1 = -2*x + 1. Is u greater than or equal to x? False Let r be 3*1 - 400/135. Which is smaller: 1 or r? r Suppose -5*d - 5*x + x = -15, 24 = -4*d + 4*x. Which is greater: 1/103 or d? 1/103 Suppose 4 = 6*x + 40. Let k(l) = l**2 - 5*l + 4. Let b be k(4). Let n(r) = r - 7. Let z be n(b). Is z at most as big as x? True Let t = 0.21 - 0.11. Which is bigger: t or -12? t Let j = -0.05 - -0.15. Let c be -2*(-2 - -2 - -5). Let p be 2/(-9) + 0/c. Which is bigger: p or j? j Suppose 0 = 5*q - 5*r + 60, -2*r = 4*q + 2*r + 64. Which is greater: -13 or q? -13 Suppose 0 = 5*b - 20, 2*a + 9 + 1 = -5*b. Let u = 40 + a. Let k be (-10)/u + (-58)/(-70). Is k < 0? False Let i(g) = g**3 - 22*g**2 + 42*g - 17. Let d be i(20). Is d smaller than 25? True Let m be (9/2 + -1)*4/1. Which is smaller: m or 12? 12 Let d = -34/11 - -179/33. Let v be 6/3 + (-2)/2. Which is bigger: d or v? d Let w = 7 + -19/3. Let d = -152/5 + 30. Which is smaller: w or d? d Let a be (1/(-26))/((-4)/(16/1)). Let t be (6/(-4))/(-1 + -2). Which is bigger: a or t? t Let h = 10 - 16. Let c = h + 8. Which is greater: -0.2 or c? c Let q(k) = -k - 2. Let x be q(4). Are -5 and x unequal? True Suppose 0*w = -4*w + 4*a + 12, -2*w - 3*a = -1. Suppose 5*v - 7 = -2*r, r - w*r - 3 = -4*v. Let x = 0.4 - 0.3. Is x not equal to r? True Let k be 214/(-8) - 4/16. Let f be 669/15 + (-2)/(-5). Let q be k/f - (-3)/5. Is -1/6 at least q? False
{ "pile_set_name": "DM Mathematics" }
of 2861, 5754, 8669, 11606, 14565? 11*g**2 + 2860*g - 10 What is the y'th term of -7319554, -7319531, -7319498, -7319449, -7319378, -7319279? y**3 - y**2 + 19*y - 7319573 What is the l'th term of -7578, -32765, -74722, -133449, -208946, -301213? -8385*l**2 - 32*l + 839 What is the w'th term of 31579, 34303, 37027, 39751, 42475, 45199? 2724*w + 28855 What is the i'th term of -450075977, -450075976, -450075975, -450075974? i - 450075978 What is the h'th term of 7549, 50526, 128935, 242776, 392049? 17716*h**2 - 10171*h + 4 What is the j'th term of -486, -1791, -3962, -6999, -10902, -15671? -433*j**2 - 6*j - 47 What is the p'th term of -12268, -12465, -12794, -13255? -66*p**2 + p - 12203 What is the x'th term of 1224, 2741, 4492, 6471, 8672? -x**3 + 123*x**2 + 1155*x - 53 What is the u'th term of -7462584, -14925156, -22387728, -29850300? -7462572*u - 12 What is the n'th term of -116610845, -116610853, -116610871, -116610905, -116610961, -116611045, -116611163, -116611321? -n**3 + n**2 - 4*n - 116610841 What is the a'th term of 25873, 25787, 25687, 25567, 25421, 25243, 25027, 24767? -a**3 - a**2 - 76*a + 25951 What is the x'th term of 129779, 259057, 387839, 516125? -248*x**2 + 130022*x + 5 What is the q'th term of -6511, -13164, -19883, -26668? -33*q**2 - 6554*q + 76 What is the t'th term of 4775, 9485, 14169, 18827, 23459, 28065? -13*t**2 + 4749*t + 39 What is the s'th term of 2537, 10057, 22557, 40031, 62473? -s**3 + 2496*s**2 + 39*s + 3 What is the s'th term of 25505, 51258, 77011? 25753*s - 248 What is the s'th term of -3234326, -3234271, -3234218, -3234167, -3234118, -3234071, -3234026? -s**2 + 58*s - 3234383 What is the d'th term of 521903, 1043997, 1566279, 2088749, 2611407, 3134253? 94*d**2 + 521812*d - 3 What is the k'th term of 537172, 537113, 537054, 536995, 536936? -59*k + 537231 What is the r'th term of -31789, -126449, -284217, -505093, -789077, -1136169? -31554*r**2 + 2*r - 237 What is the f'th term of -124160, -248329, -372498? -124169*f + 9 What is the t'th term of 22763049, 45526084, 68289119, 91052154, 113815189? 22763035*t + 14 What is the a'th term of -508, -1997, -4444, -7825, -12116, -17293, -23332, -30209? 4*a**3 - 503*a**2 - 8*a - 1 What is the i'th term of 662, 873, 676, 71, -942, -2363? -204*i**2 + 823*i + 43 What is the j'th term of -1118, -2066, -3014, -3962, -4910, -5858? -948*j - 170 What is the h'th term of -398783, -398656, -398529, -398402, -398275? 127*h - 398910 What is the u'th term of -40907, -82454, -124025, -165632, -207287, -249002, -290789? -2*u**3 - 41533*u + 628 What is the k'th term of -2425888, -2425822, -2425750, -2425672? 3*k**2 + 57*k - 2425948 What is the o'th term of -777332, -777415, -777498, -777581? -83*o - 777249 What is the y'th term of 315238, 632995, 950754, 1268515, 1586278, 1904043, 2221810? y**2 + 317754*y - 2517 What is the o'th term of -39163, -79262, -119361, -159460, -199559, -239658? -40099*o + 936 What is the d'th term of -63360, -63465, -63640, -63885, -64200, -64585, -65040? -35*d**2 - 63325 What is the r'th term of 2466, 10703, 24492, 43881, 68918, 99651, 136128, 178397? 8*r**3 + 2728*r**2 - 3*r - 267 What is the k'th term of 87225, 174356, 261475, 348588, 435701, 522820? k**3 - 12*k**2 + 87160*k + 76 What is the f'th term of -18599137, -37198274, -55797409, -74396542, -92995673? f**2 - 18599140*f + 2 What is the a'th term of 212370553, 212370550, 212370557, 212370580, 212370625, 212370698? a**3 - a**2 - 7*a + 212370560 What is the c'th term of 97551, 390111, 877709, 1560345? 97519*c**2 + 3*c + 29 What is the m'th term of 1028765, 2057528, 3086291, 4115054? 1028763*m + 2 What is the n'th term of 1331, 3017, 5231, 7979, 11267? n**3 + 258*n**2 + 905*n + 167 What is the n'th term of -5486, -11003, -16552, -22133, -27746, -33391, -39068? -16*n**2 - 5469*n - 1 What is the y'th term of -2326471, -9305932, -20938363, -37223764, -58162135, -83753476, -113997787? -2326485*y**2 - 6*y + 20 What is the f'th term of 216432, 216438, 216444, 216450? 6*f + 216426 What is the q'th term of -3505, -4963, -6421, -7879, -9337, -10795? -1458*q - 2047 What is the n'th term of 943535, 943522, 943509? -13*n + 943548 What is the k'th term of 25691703, 51383418, 77075133, 102766848, 128458563? 25691715*k - 12 What is the j'th term of -6676, -31831, -75466, -137587, -218200, -317311? -j**3 - 9234*j**2 + 2554*j + 5 What is the k'th term of -4764213, -4764190, -4764167, -4764144, -4764121? 23*k - 4764236 What is the d'th term of -46892732, -46892736, -46892740, -46892744, -46892748, -46892752? -4*d - 46892728 What is the x'th term of 1668, 743, -814, -3003, -5824, -9277? -316*x**2 + 23*x + 1961 What is the s'th term of -10726183, -10726197, -10726211, -10726225, -10726239? -14*s - 10726169 What is the l'th term of -615302, -1230616, -1845934, -2461256? -2*l**2 - 615308*l + 8 What is the a'th term of -1090595, -2181203, -3271811, -4362413, -5453003, -6543575? a**3 - 6*a**2 - 1090597*a + 7 What is the y'th term of -689051, -1378104, -2067155, -2756204? y**2 - 689056*y + 4 What is the u'th term of -15186, -14978, -14636, -14160, -13550? 67*u**2 + 7*u - 15260 What is the a'th term of -22923747, -22923810, -22923887, -22923984, -22924107, -22924262? -a**3 - a**2 - 53*a - 22923692 What is the p'th term of 2287, 2644, 3021, 3424, 3859, 4332, 4849? p**3 + 4*p**2 + 338*p + 1944 What is the y'th term of -40871, -40902, -40933? -31*y - 40840 What is the y'th term of 25149, 100836, 227043, 403770, 631017, 908784? 25260*y**2 - 93*y - 18 What is the p'th term of -10466040, -10466027, -10466006, -10465977? 4*p**2 + p - 10466045 What is the w'th term of -13283, -13293, -13297, -13295, -13287? 3*w**2 - 19*w - 13267 What is the f'th term of 4265, 8595, 12925, 17255, 21585, 25915? 4330*f - 65 What is the z'th term of 38106, 75654, 113200, 150744, 188286, 225826? -z**2 + 37551*z + 556 What is the t'th term of 1136600, 2272720, 3408840, 4544960, 5681080, 6817200? 1136120*t + 480 What is the c'th term of 4120, 8214, 12308, 16408, 20520, 24650? c**3 - 6*c**2 + 4105*c + 20 What is the a'th term of -113397, -226848, -340351, -453900, -567489? a**3 - 32*a**2 - 113362*a - 4 What is the f'th term of 568, 5180, 17914, 42898, 84260, 146128? 688*f**3 - 67*f**2 - 3*f - 50 What is the n'th term of -1853215, -1853568, -1854155, -1854976, -1856031, -1857320? -117*n**2 - 2*n - 1853096 What is the z'th term of -4761180, -4761232, -4761284, -4761336? -52*z - 4761128 What is the c'th term of -2500, -5375, -8250, -11125? -2875*c + 375 What is the d'th term of -161283, -322312, -483341? -161029*d - 254 What is the g'th term of 26025, 52033, 77949, 103773, 129505, 155145? -46*g**2 + 26146*g - 75 What is the g'th term of -437, -555, -891, -1553, -2649? -18*g**3 - g**2 + 11*g - 429 What is the u'th term of -1734849, -1734859, -1734869? -10*u - 1734839 What is the t'th term of -56, -396, -678, -668, -132? 39*t**3 - 205*t**2 + 2*t + 108 What is the j'th term of 169, -655, -2035, -3977, -6487, -9571? -j**3 - 272*j**2 - j + 443 What is the a'th term of -40894, -163305, -367240, -652693, -1019658? a**3 - 40768*a**2 - 114*a - 13 What is the v'th term of -2849, -5429, -8163, -11045, -14069? v**3 - 83*v**2 - 2338*v - 429 What is the t'th term of 32969, 54979, 76991, 99005, 121021, 143039, 165059? t**2 + 22007*t + 10961 What is the z'th term of 35755887, 35755882, 35755877, 35755872? -5*z + 35755892 What is the z'th term of 200777, 200798, 200839, 200900, 200981? 10*z**2 - 9*z + 200776 What is the h'th term of -1164603, -1164593, -1164579, -1164561, -1164539, -1164513, -1164483? 2*h**2 + 4*h - 1164609 What is the s'th term of 50, 176, 386, 674, 1034, 1460, 1946, 2486? -s**3 + 48*s**2 - 11*s + 14 What is the o'th term of -3483, -3559, -3629, -3693? 3*o**2 - 85*o - 3401 What is the c'th term of -7197915, -14395830, -21593745, -28791660, -35989575, -43187490? -7197915*c What is the w'th term of -401726, -803464, -1205202, -1606940, -2008678? -401738*w + 12 What is the l'th term of 26, 360, 912, 1682, 2670, 3876, 5300? 109*l**2 + 7*l - 90 What is the d'th term of 1792790, 3585615, 5378440, 7171265, 8964090? 1792825*d - 35 What is the h'th term of -35694, -145367, -328158, -584067, -913094? -36559*h**2 + 4*h + 861 What is the q'th term of 2811, 4995, 7309, 9
{ "pile_set_name": "DM Mathematics" }
d smallest value? (a) 1/2 (b) q (c) -1 (d) p a Let r = -0.5226 - -4.5226. Which is the smallest value? (a) -0.1 (b) -0.2 (c) r (d) -0.4 (e) 12/5 d Let h = -15/8 - -37/24. Let z = -5513 - -5512.5. What is the second biggest value in 1, z, h, -0.7? h Let u = -0.37199 + 0.17199. What is the second biggest value in -1/15, u, 146? -1/15 Let x(r) = r**3 + 10*r**2 + 5*r - 31. Let v be x(-9). Suppose v*z + 9 = -6. Suppose -n = 3*n - 12. Which is the smallest value? (a) z (b) -4 (c) n b Let f = -20 - -7. Let d be (2 - 1) + (-2)/4. Let o = -67239 + 67239. What is the third biggest value in f, 2/11, d, o? o Let d be 1/(((-15)/6 - -3)*(-83 + 73)). Let h(q) = q**2 - 3*q + 3. Let f be h(2). Which is the second biggest value? (a) d (b) 0 (c) f b Let f(l) = l**2 + 1559*l - 12531. Let x be f(8). Let k be 0/2 + 33 + -1. Let s = -226/7 + k. Which is the smallest value? (a) x (b) s (c) -0.4 (d) 4/3 c Let w be (1395/(-36))/((-20)/(-32)). Which is the second smallest value? (a) w (b) 4/3 (c) 1 (d) -0.6 d Let b = 0.4305 - 0.8305. Let v = -1.6 - -0.6. What is the biggest value in v, 34, b, -3/7? 34 Let l = 0.09445 - -66.40555. What is the second smallest value in -6, 2/3, l? 2/3 Let y = 224.97 + -270. Let a = -0.0595 - 44.9405. Let g = y - a. What is the second biggest value in 4, g, 0, 2? 2 Let o = -497.02 - 19.48. Let l = o - -516. Which is the second biggest value? (a) 0 (b) l (c) -0.01 (d) -4/7 c Let d(u) = 4*u + 1231 + 2*u - 3*u - 1238. Let o be d(2). What is the third smallest value in -3/5, 8, o? 8 Let p = -17 - -16.6. Suppose -3*j - 11 = 4*f - 47, j - 4*f = 12. Let v be (-6)/(-54)*j*-3. What is the smallest value in -2, v, 0.1, p? v Let p = -26899/17 - -1583. Which is the second biggest value? (a) 0.5 (b) -15 (c) p a Let w = 4742 - 33234/7. Which is the third biggest value? (a) w (b) -2/9 (c) 2/5 a Let w = 38.4 - 38. Let b = 109 + -108. What is the smallest value in 2, 0.2, w, b? 0.2 Let q = -557 - -31747/57. Let k = 44/171 + q. Which is the biggest value? (a) k (b) 6 (c) 2 (d) 4 b Let x be 861/(-273) - (-14 - -11). What is the fifth biggest value in 4, -3, x, 412/7, -1/5? -3 Let d = -0.631 - -0.697. Let i = 0.266 - d. What is the third smallest value in i, 2/17, -64? i Let u = 1093.44 + -1035. Let y = u - 0.44. Let q = 59 - y. Which is the fourth smallest value? (a) 1/3 (b) q (c) -11 (d) 5 d Let b be (-11 - (-1575)/147) + (13/(-28) - -1). What is the second biggest value in -578, b, 3? b Let p = -2688 + 2684. Suppose 4*n - 3*f + 33 = -2*f, 2*f = 5*n + 45. Let w = n + 29/4. What is the third biggest value in w, -2, p? p Let t = -250.1 - -251.1. Which is the fourth smallest value? (a) 6 (b) t (c) -0.2 (d) 4 a Let r(l) = -934*l + 3594. Let k be r(4). Let j be (-1138)/(-10)*(-10)/8. Let n = j - k. Which is the second smallest value? (a) n (b) 0.06 (c) 0.05 c Let i = 3997.3 - 4336. Let o = i + 339. Which is the biggest value? (a) o (b) 2 (c) -0.4 (d) 3/8 b Let q(b) = 2*b**3 + 24*b**2 - 2*b - 22. Let j be q(-12). Let f be (-3)/(-4)*j*20/(-6). What is the third smallest value in 0.05, f, 3/8? 3/8 Let a = 8.711 - 18.237. Let f = a - -9.4. Let p = -54.126 - f. What is the biggest value in 3/2, -0.3, p? 3/2 Let c = -612 + 614. Let f = 225 + -1572/7. What is the second smallest value in c, f, 24, 0.3? f Let t = -0.0825 + -3.9175. Which is the second biggest value? (a) -2 (b) t (c) -847 b Let v(q) = 1 + 660*q**2 - 661*q**2 - 3. Let u be v(-1). Which is the third biggest value? (a) u (b) -3/8 (c) -1/3 (d) -4 a Let j = -0.092 + 29.692. Let z = j - 26. Let n = z + -3.2. Which is the second biggest value? (a) 0.5 (b) -0.1 (c) n c Suppose 0 = 4*s + 48*z - 43*z + 114, -5*s = -z + 128. Which is the second smallest value? (a) -0.8 (b) s (c) 0 (d) -3 (e) -0.3 d Let f be (15/42)/((-530)/(-1113)). Which is the fifth smallest value? (a) 7 (b) f (c) -81 (d) 0.1 (e) 5 a Let n = -0.7968 - -0.9968. Which is the second biggest value? (a) 5 (b) 513 (c) n (d) 4 a Let q = 14926/1121 - 680/59. What is the third biggest value in -1/2, -1/21, q? -1/2 Let y = 4/115 + -353/230. Let g = 1258 + -1241. What is the second smallest value in g, -4, y? y Let s be 910/(-78)*(-1 + 0 + -2). Let i be (-246)/(-205) - ((-228)/s - 0). Which is the third biggest value? (a) -6/7 (b) i (c) 1 (d) -3 a Let o be 22/33 - -6 - 8. Which is the fifth biggest value? (a) -2/11 (b) o (c) 4 (d) -14 (e) 2/13 d Let u = -3136 - -3166.5. Let q = 86 - 55. Let t = q - u. Which is the third biggest value? (a) t (b) -0.8 (c) -1 c Let s = 5804 - 5805. What is the biggest value in s, -2, -2.5? s Let s = 1181.67 + -1187. Let x = 3.33 + s. Which is the smallest value? (a) x (b) 1/3 (c) 0.2 (d) -62 d Let p = 1 + -1.5. Let u = 81 - -51. Let b = u + -128. What is the fourth smallest value in 0, p, b, 5? 5 Let m = -59.36 - -61.36. Which is the second biggest value? (a) 0 (b) -1/8 (c) 0.5 (d) m (e) 3 d Let o = 15013.986 - 15030. Let i = o - -0.014. What is the smallest value in 1, 2/19, i? i Let p be ((-10)/(-15))/(270/243). What is the third biggest value in 4/5, p, -4, 4.8? p Let q be 12/(-15) + 312/65. Let g be (10 + q + -10)*1. Which is the second smallest value? (a) 3/2 (b) -1/2 (c) g a Suppose 0 = 5*m - 2*x, -3*m - 26 = -2*x + 6*x. Let g be 4/((-12)/(-17)) + (53 - 58). What is the fourth biggest value in m, 4, 2/21, g? m Let f = -1384.7 - -1386. Let w = -1.6 - -1.49. Let l = w - -0.61. Which is the second smallest value? (a) l (b) 0.3 (c) f (d) -2 b Let u = -46 + 139/3. Let z(q) = -15*q - 3. Let o be z(-1). Suppose -89*m = -86*m + o. Which is the biggest value? (a) u (b) 2 (c) -0.03 (d) m b Let g = -13 - 3. Let m(w) = w**2 - 15*w + 55. Let d be m(10). What is the second biggest value in g, -0.1, 0.3, d? 0.3 Let f be 25 - 24 - (1 - (1 - 645)). Let u be (-506)/f + (-1)/7*2. Let b = 56 - 52. What is the fourth smallest value in 1/5, b, -0.3, u? b Let l = -3612 + 3608. Let a = 0.2 - 0.1. What is the third biggest value in -5, -1, l, a? l Let i = 57 + -57.047. Let t = 0.052 + i. Let z = 0.505 - t. Which is the second biggest value? (a) -1 (b) z (c) 0.1 c Let i = 266 - 257. Let d = i - 13. What is the second smallest value in -4/7, 2/19, d, 18? -4/7 Let x = -0.29 + -0.11. What is the second biggest value in 2/5, 1.38, x? 2/5 Suppose 285*i - 138015 = -29217 + 31422. Which is the third smallest value? (a) 4 (b) i (c) -0.5 (d) -3 a Let x = -111 + 111.38. Let d = x + 0.02. Let s(j) = -j**2 - 5*j - 4. Let o be s(-3). What is the second smallest value in 2/9, o, d, 3? d Let q = -0.9 - -4.8. Let d = q + 0.1. Let k = 1.03 - 0.83. What is the third smallest value in k, d, -10/11? d Let y = -0.3 - -1.3. Let a = 19211 + -19208. What is the biggest value in y, -3/4, -5, a? a Suppose 18*v - 20*v = y, v = 2*y - 15. What is the fourth biggest value in v, 4, -5, -0.5, 0.1? v Let y = -127.18 + 127.08. Which is the second smallest value? (a) -1 (b) -1/6 (c) y (d) -45/2 (e) 6 a Let m = -6.763 + 6.763. Which is the fourth smallest value? (a) -2.1 (b) 0.3 (c) m (d) 1/5 (e) -3 d Let k be 9*(0 + 4/(-114)). Let m = -73/171 - k. Let g = 347895 - 347892. Which is the fourth biggest value? (a) g (b) -3 (c) m (d) -4 d Let o be ((-4)/(-3))/((-74)/555). Let a be 2/5 - (-8)/(-40). What is the fourth biggest value in a, o, 0.1, 0? o Let j = 126803/8 - 15850. What is the second smallest value in -1/2, -2, 0.1, j, 3? -1/2 Let p be ((-1)/(-2))/((-8)/(-256)). Suppose -21*r + p*r = 45. Let j = -5 - -4.6. What is the second smallest value in 4, r, j? j Let k = 3529/8 + -10517/24. Which is the third smallest value? (a) 25 (b) -4/9 (c) k a Let j = -224.5 + 220.5. Which is the third biggest value? (a) j (b) -3 (c) -72/55 a Let j = 1.26 - 38.76. Let r = -36.7 - j. Which is the second biggest value? (a) 20 (b) r (c) 2 (d) -0.5 c Let s be 8/(-30)*-3 + 570/(-150). Let r be 1/(-6)*(-3 + 9/6). Which is the biggest value? (a) r (b) s (c) 9 c Let d = -25.53 + 22.73. What is the smallest value in 3, 0, d, -3/5? d Let z = 3196.3 - 3196. Which is the third biggest value? (a) z (b) -39 (c) -1/7 (d) -7 d Let u = 2.1223 + -2.17. Let o = u + -0.1823. Let t = 0.02 + -2.02. Which is the fourth biggest value? (a) o (b) -2/17 (c) t (d) 4 c Let v
{ "pile_set_name": "DM Mathematics" }
w. 53 Rearrange (476*z + 319 - 115 - 478*z)*(-7*z - 7*z + 9*z) to the form a + c*z**2 + w*z and give w. -1020 Express -33 + 40 - 328*u - 7 in the form c + d*u and give d. -328 Rearrange -396*y - 39990*y**2 + 79974*y**2 - 39986*y**2 to t*y + v + z*y**2 and give t. -396 Express -1755*k - 2154*k - 11931*k in the form b + a*k and give a. -15840 Rearrange 84*u + 60*u - 5*u**4 + 1 - 145*u + 4*u**4 + u**2 to f*u**4 + r + n*u + h*u**2 + t*u**3 and give h. 1 Rearrange (0*j + j + 2 + j)*(-71*j**3 - 265*j**3 - 114*j**3) to the form l*j + d*j**3 + r + p*j**2 + w*j**4 and give l. 0 Express (6 + 2*t**2 - 6)*(-12*t + 0 - 1 - 13 + 2) as y*t**3 + h*t**2 + w*t + s and give y. -24 Express (15 - 25 - 18)*(11*h - 43*h - 9*h) in the form t + p*h and give p. 1148 Rearrange -2*c + 30*c**3 - 6 - c + 4*c**4 + 11*c**4 + 3*c**4 - 17*c**4 to the form y*c**2 + k*c + d + a*c**3 + o*c**4 and give k. -3 Express (-4 + 2 + 1 + (0 + 3 - 1)*(2 - 1 + 0) + (2 - 1 - 3)*(-47 - 7 - 32))*(-3*w + 5*w - 4*w) + 9*w + 8*w - 4*w in the form a*w + x and give a. -333 Rearrange (-36*o + 17*o + 25*o)*(-2 + 0 + 5) + (-6 + 2 + 3)*(4*o - 2*o - 8*o + (4*o - 2*o - 3*o)*(0 + 1 + 0)) - o - 2*o + 2*o to a + t*o and give t. 24 Express (-66 + 314 + 111)*(w**2 - 3*w**2 - w**2)*(5*w**2 - 3*w**2 - 5*w**2) in the form o*w**3 + h + a*w**2 + c*w + k*w**4 and give k. 3231 Express 10245 + 3*j**3 - 4*j - 5125 - 5117 - 20*j**2 as p + d*j + g*j**3 + y*j**2 and give y. -20 Express -4*m - 2*m**2 - 43 + 93 - 45 - 66*m**2 + 12*m**2 - 44*m**2 + (2*m + 4*m - 5*m)*(-2*m - 5 + 5) - m - m**2 + m as x*m + p + f*m**2 and give p. 5 Express 699*r**3 + 3*r**2 + 6566*r**3 - 3*r**2 - 13363*r**3 + 3*r as l*r + v*r**3 + f + o*r**2 and give v. -6098 Express (-2*z - 2*z - z)*(2*z**2 - 1765*z - 3*z**2 + 1930*z) as b*z + x*z**3 + t + u*z**2 and give u. -825 Express 13 - 2*h**2 + 321*h - 13 + 2321*h as g*h**2 + r*h + l and give r. 2642 Rearrange -2*i**2 + 74*i - 289*i + 76*i + 43 + 119*i to f*i**2 + t + a*i and give a. -20 Express 57 - 25 + 69*a**4 - 7*a - 35 in the form k*a + c*a**3 + g*a**2 + t*a**4 + q and give t. 69 Rearrange -582*j - 567*j - 566*j + 437 + 1696*j to the form f + t*j and give t. -19 Rearrange -38*r**3 + r**2 - 28*r**4 - r**4 + 10 + 15*r**4 + 2*r + 13*r**4 + 0*r**2 to a*r**4 + f*r**2 + n*r**3 + p + t*r and give f. 1 Express -115*o**2 + 127*o**2 - 11*o**2 - 5388*o**3 - 5697*o**3 as j*o**3 + k + s*o + y*o**2 and give y. 1 Rearrange (-6 + 9 - 8)*(w + 4*w + 3*w + (2 + 6 - 4)*(-10*w + 17*w - 11*w)) to the form j*w + h and give j. 40 Rearrange -21009*j + 4 + 10089*j - 4 + 10515*j to the form y + r*j and give r. -405 Express -537*r**4 + 538*r**4 - 5*r**2 + 154*r - 5*r**3 - 48*r as a*r + u*r**4 + c + l*r**3 + s*r**2 and give u. 1 Rearrange 2*h**4 + 395*h**3 - 5*h - 28*h**3 - 151*h**3 - 162*h**3 to o*h**4 + k + b*h**2 + d*h + w*h**3 and give o. 2 Rearrange 0 + v + 0 + (-1631 + 561 - 626)*(v + 0*v - 3*v) to the form k*v + l and give k. 3393 Express (7 + 16 - 10)*(-142 + 134 - 145)*(-l + 1 - 1) as g + x*l and give x. 1989 Rearrange -4*s + 3*s**3 - 14*s**3 - 59*s**3 + 2*s - 67*s**3 to the form z + t*s + j*s**2 + l*s**3 and give l. -137 Rearrange 138 + 5*r**2 - 35*r**3 + 138 + 135 - 413 to the form u*r + z + o*r**2 + t*r**3 and give z. -2 Express -16*v**2 - 20*v**4 + 0 - 1 + 18*v**2 - 2*v**3 + 0*v**4 + 13*v**4 + 2*v in the form z*v**2 + s*v**4 + w*v + l*v**3 + y and give s. -7 Express -2051*c**2 - 195*c**2 + 362*c**2 - 306*c**2 as i*c**2 + g + z*c and give i. -2190 Rearrange -40*f + 96*f - 12*f**2 + 2*f**2 + 0*f**2 - f**3 to the form j + u*f + t*f**3 + m*f**2 and give t. -1 Express -4*s + 22149*s**3 + 7 - 1 - 22068*s**3 in the form d*s + n*s**2 + j*s**3 + o and give j. 81 Rearrange -151 + 34*q + 67 + 85 - 34*q + 23172*q**3 to x*q**3 + n*q**2 + w + b*q and give w. 1 Rearrange ((0 + 3 - 2)*(2 + 2*s - 2) + 0*s - s + 2*s)*(-1481*s + 1311*s - 1604*s) to i + o*s**2 + p*s and give o. -5322 Express (-2442 - 45*l**2 + 2442)*(-59*l + 59*l - 7*l**2) + 39 - 39 - 8*l**4 in the form y*l**4 + j*l**2 + z + b*l**3 + c*l and give y. 307 Rearrange 5*q**3 - 2 + 18*q**2 + 3*q**4 - 15*q + 0*q**4 + 9*q + 5*q - 2*q**4 to the form y*q**4 + w*q + s*q**2 + u*q**3 + c and give w. -1 Rearrange (h - h + 2*h**2)*((0*h - 3*h + h)*(18 - 6 - 7) - 24*h - 21*h - 5*h) to x*h**3 + g + m*h + i*h**2 and give x. -120 Rearrange -6418*i - 7121*i - 2143*i + 128*i to m + b*i and give b. -15554 Express (-4*r**2 + 5*r**2 + 0*r**2)*(2*r + 5*r - r) - 1502*r**2 + 87*r**3 + 1502*r**2 - 3*r**3 + 2 - 2 in the form h*r + s + f*r**2 + x*r**3 and give h. 0 Rearrange -135 + 135 + 44*x + (-4*x - x + 3*x)*(30 + 28 - 130) to p + j*x and give j. 188 Express (-i**2 - 3*i**2 + 5*i**2)*(0*i - i + 2*i) - 901749*i**3 + 420437*i**3 + 455165*i**3 in the form j + m*i**3 + v*i + l*i**2 and give m. -26146 Express (7492942 + 3919*l**2 - 7492942)*(1 - 2 - 2) in the form c*l**2 + n + h*l and give c. -11757 Express 0*b**3 - 2*b**3 + 3*b**4 - 32*b + 140763 - 140762 in the form a*b**3 + l*b**4 + h*b**2 + w + y*b and give h. 0 Express -15 - 610*a**4 + 1194*a**4 - 6*a - 577*a**4 in the form g*a**2 + w*a**4 + r*a**3 + p*a + v and give p. -6 Rearrange (-12 + 18 - 5 - 3*h**2)*(149 + 156 + 50)*(-h + 1 - 1) to b + z*h**3 + k*h**2 + c*h and give z. 1065 Rearrange 17*b**2 - 20*b**2 - 1 + 873*b**3 - 7*b - 878*b**3 - 3*b - 52 to y + k*b**3 + n*b**2 + s*b and give y. -53 Rearrange 25*o + 585*o - 8*o - 93*o - 4 + 249*o to d*o + u and give d. 758 Rearrange (-a + 0*a - a)*(-3*a - 4*a + 5*a) + 33*a - 33*a + 117*a**2 + 80*a**2 + (35*a**2 - 12*a**2 - 15*a**2)*(3 + 0 + 1) to s*a**2 + h*a + g and give s. 233 Express 14*y - 13*y**3 - 7*y**3 + 18*y**3 + 16*y - 1051 + 1168 in the form q + d*y**3 + f*y**2 + k*y and give q. 117 Rearrange -29 + 11 - 45*u**2 + 16 + (19 - 4*u - 19)*(-1 + 1 + u) + 2 + 2*u**2 - 2 - 2 + 2 + u**2 to the form h + c*u**2 + w*u and give h. -2 Rearrange (343 - 811 + 295)*(9 - s - 7 - 7) to the form f*s + d and give f. 173 Express (5 - 5 + 5)*(-13*a + 46*a + 12*a)*(203*a + 40 + 37 - 77) in the form m*a**2 + x*a + i and give m. 45675 Rearrange -10 - 5919*x + 4 + 6 - 1219*x to i + s*x and give s. -7138 Rearrange (-1 + 3*h + 5 - h)*(-1338 - 1279 + 2539)*(-2 + 1 + 3)*(4 + 2 - 2) to the form m*h + o and give o. -2496 Rearrange -889 - 987 + 3018 + 4717 + 3096 - 2*s**2 to u + d*s**2 + p*s and give u. 8955 Rearrange -20 - 27*r**2 + 411 - 2*r**3 + 25*r**2 to t*r**3 + m*r**2 + v + n*r and give m. -2 Rearrange -t - 6433*t**2 - 14*t - 7*t + 6441*t**2 + 6 to the form v*t + z + u*t**2 and give u. 8 Rearrange 1043 + 5*z + 1164 + 1067 - 1460 + 1136 to w*z + d and give d. 2950 Express (2 + 2 - 3)*(-14*r**2 - 15*r**2 - 15*r**2) + (4 - 1 - 4)*(0*r**2 + 3*r**2 - 2*r**2 + (-r + 3*r - 7*r)*(r + r - 5*r)) as o*r**2 + u + a*r and give o. -60 Express q**3 - 147*q - 123*q + q**3 + 6*q**4 + 269*q + 0*q**2 + 7 - 5*q**2 as p*q**3 + n*q**4 + j*q**2 + w*q + l and give p. 2 Express -3130*m**2 - 111429*m + 111429*m as t*m + v + r*m**2 and give r. -3130 Rearrange (x**2 - x**2 + x**3)*(-x - 249 - 3196 + 320) to g*x**4 + o*x**3 + p*x + l + a*x**2 and give g. -1 Express -8140 - 4609*d + 27602*d + 8140 as u + h*d and give h. 22993 Rearrange 0*d**3 + 4 + 0 + 3*d**3 - 3*d**3 + 0*d**3 + 2*d**3 + (-2 + 0 + 0)*(2*d**3 - 1 + 1) - 954*d + 35*d**3 + 954*d to n*d + a*d**2 + k*d**3 + v and give v. 4 Rearrange (2 - 5 + 0)*(-199286*v**4 + 99200*v**4 + 90778*v**4) to q*v**3 + i*v**2 + b + g*v**4 + l*v and give g. 27924 Rearrange 9*r**2 + 4*r**3 - 5*r**3 - 7*r**2 - 50*r - 9*r**2 - r**2 - 1 to f*r + s*r**2 + n + l*r**3 and give n. -1 Rearrange (0 + 1 + 2)*((-1 - 1 + 1)*(2 - h - 2) - 5*h + h + 5*h)*((2 + 1 + 0)*(h + 2*h - 2*h) + 5*h - h + 5*h) to the form z*h**2 + t + g*h and give z. 72 Express 0*v**3 + 38*v + 22*v - v**3 - v**4 + 2*v**2 + v**3 - v**3 - 2 as i*v**2 + x*v**3 + b + w*v**4 + a*v and give b. -2 Rearrange 10*r**2 + 9498*r - 15 - 9496*r + r**3 + 4 + 22 to l*r**2 + f*r + x + n*r**3 and give l. 10 Express -2 + 9*d - 424152*d**2 + 4 + 424136*d**2 as z*d + x*d**2 + k and give z. 9 Rearrange (1 - o - 1)*(-3*o - 4*o + 2*o) - 104*o**2 - 3*o**2 - 150*o**2 + 0*o**2 + o**2 + o**2 to p*o**2 + f*o + r and give p. -250 Rearrange 2696*f**2 - 4171*f**2 + 3770*f**2 to m + k*f**2 + i*f and give k. 2295 Rearrange 2214*i - 272*i + 6042*i - 684*i to the form z*i + n
{ "pile_set_name": "DM Mathematics" }
n 6*s**5 - 64*s**4 + 20*s**3 + 896*s**2 + 294*s = 0? -3, -1/3, 0, 7 Determine h so that -h**2/4 - 236*h - 471 = 0. -942, -2 Factor -b**2/6 - 55*b/6 - 26. -(b + 3)*(b + 52)/6 Factor o**2/2 + 41*o/2. o*(o + 41)/2 Factor i**3/3 - 1020*i**2 - 2041*i - 3062/3. (i - 3062)*(i + 1)**2/3 Solve 3*d**3 + 27*d**2 + 45*d - 75 = 0. -5, 1 Solve 5*m**4 + 25*m**3 + 30*m**2 = 0. -3, -2, 0 Solve o**4/4 + 7*o**3/4 + 9*o**2/2 + 5*o + 2 = 0. -2, -1 Solve -3*y**4/4 - 147*y**3/4 + 303*y**2/4 - 153*y/4 = 0 for y. -51, 0, 1 Suppose 2*v**5/7 + 2*v**4/7 - 34*v**3/7 - 6*v**2 + 72*v/7 = 0. Calculate v. -3, 0, 1, 4 Let -2*b**2/3 - 4*b/3 + 70/3 = 0. Calculate b. -7, 5 Factor -h**3/3 + 65*h**2 - 4225*h + 274625/3. -(h - 65)**3/3 Let 250*o**4/7 - 1700*o**3/7 + 2040*o**2/7 + 3268*o/7 - 722/7 = 0. Calculate o. -1, 1/5, 19/5 What is o in -4*o**4 - 40*o**3 - 80*o**2 + 40*o + 84 = 0? -7, -3, -1, 1 Find u, given that 3*u**2 + 28164*u + 66100908 = 0. -4694 Factor -2*x**4 + 14*x**3 + 36*x**2. -2*x**2*(x - 9)*(x + 2) What is j in 6*j**5/5 + 159*j**4/5 + 1092*j**3/5 + 507*j**2/5 = 0? -13, -1/2, 0 What is i in i**3/4 + 2925*i**2/4 - 5853*i/4 + 2927/4 = 0? -2927, 1 Determine t, given that 3*t**4 - 1146*t**3 - 4632*t**2 = 0. -4, 0, 386 What is q in -5*q**4 - 40*q**3 + 95*q**2 - 50*q = 0? -10, 0, 1 Find a, given that 2*a**2/7 - 82*a/7 + 108 = 0. 14, 27 Factor 2*w**2/19 - 4200*w/19 - 4202/19. 2*(w - 2101)*(w + 1)/19 Factor -l**2/4 + 29*l/4 - 52. -(l - 16)*(l - 13)/4 Factor 27*g**5 - 315*g**4 + 1056*g**3 - 768*g**2. 3*g**2*(g - 1)*(3*g - 16)**2 Factor -g**5/5 - 3*g**4/5 + 4*g**3/5 + 16*g**2/5 - 16/5. -(g - 2)*(g - 1)*(g + 2)**3/5 Determine j, given that -j**5/3 - 206*j**4/3 - 3467*j**3 + 21424*j**2/3 - 10816*j/3 = 0. -104, 0, 1 Suppose -q**3 - 7*q**2 + 21*q + 27 = 0. What is q? -9, -1, 3 Factor 2*z**3 - 98*z**2 + 1334*z - 3174. 2*(z - 23)**2*(z - 3) Solve -4*z**3/3 - 8*z**2/3 = 0 for z. -2, 0 Suppose 144*j**5 - 708*j**4 + 376*j**3 + 1292*j**2 + 240*j - 144 = 0. Calculate j. -2/3, 1/4, 3 Determine x so that -28*x**2 + 232*x + 180 = 0. -5/7, 9 Let -1875*t**5 + 22500*t**4 + 600*t**3 - 7200*t**2 - 48*t + 576 = 0. What is t? -2/5, 2/5, 12 Determine y so that 21*y**5/5 + 99*y**4/5 - 1038*y**3/5 - 396*y**2 + 648*y/5 = 0. -9, -2, 0, 2/7, 6 Suppose 4*c**5/3 - 37*c**4/3 - 53*c**3 + 1450*c**2/3 + 1184*c/3 - 128 = 0. Calculate c. -6, -1, 1/4, 8 Solve 4*a**2 - 324*a + 2840 = 0 for a. 10, 71 Let 3*j**3/5 - 42*j**2 + 735*j = 0. What is j? 0, 35 Suppose 162*g**4 - 22284*g**3 + 761354*g**2 + 341688*g + 38088 = 0. What is g? -2/9, 69 Factor -5*g**4 - 28*g**3 - 28*g**2 + 16*g. -g*(g + 2)*(g + 4)*(5*g - 2) Factor k**3 - 44*k**2 + 164*k - 160. (k - 40)*(k - 2)**2 Suppose r**5/2 - 7*r**4 + 33*r**3/2 + 56*r**2 + 32*r = 0. What is r? -1, 0, 8 Solve 122*t**3/17 + 230*t**2/17 + 108*t/17 = 0. -1, -54/61, 0 Let -4*w**4/5 - 32*w**3/5 - 72*w**2/5 - 64*w/5 - 4 = 0. What is w? -5, -1 Find m such that -4*m**3 + 460*m**2 - 2992*m - 3456 = 0. -1, 8, 108 Factor 20*p**3 + 92*p**2 + 40*p - 32. 4*(p + 1)*(p + 4)*(5*p - 2) Let -12*z**4 + 520*z**3 - 1004*z**2 + 496*z = 0. Calculate z. 0, 1, 124/3 Factor -z**4/5 - 2*z**3 - 24*z**2/5. -z**2*(z + 4)*(z + 6)/5 Factor -u**2/2 - 3*u - 5/2. -(u + 1)*(u + 5)/2 What is c in -27*c**5/7 + 87*c**4/7 + 456*c**3/7 + 60*c**2/7 - 576*c/7 = 0? -2, -16/9, 0, 1, 6 Factor -m**2 + 4304*m. -m*(m - 4304) Solve -4*k**2 - 16*k + 308 = 0 for k. -11, 7 Determine y so that -y**5/4 + 17*y**4/4 - 43*y**3/2 + 11*y**2/2 + 855*y/4 - 1575/4 = 0. -3, 3, 5, 7 Suppose n**4/7 + 9*n**3/7 + 8*n**2/7 = 0. Calculate n. -8, -1, 0 Determine i, given that i**3 - 20*i**2 + 81*i - 90 = 0. 2, 3, 15 Find u, given that 4*u**4/13 - 14*u**3/13 - 66*u**2/13 + 36*u/13 = 0. -3, 0, 1/2, 6 Solve -4*q**5 - 8*q**4 + 8*q**2 + 4*q = 0. -1, 0, 1 Find p such that p**2 - 24*p + 128 = 0. 8, 16 Determine y so that 5*y**4/3 + 7*y**3/3 - 28*y**2/3 - 4*y = 0. -3, -2/5, 0, 2 Find l, given that -3*l**3/8 + 6*l**2 + 165*l/8 + 57/4 = 0. -2, -1, 19 Factor c**4/4 + 873*c**3/4. c**3*(c + 873)/4 Factor -2*f**4/21 - 68*f**3/21 + 72*f**2/7 - 220*f/21 + 74/21. -2*(f - 1)**3*(f + 37)/21 Factor -2*t**4 + 44*t**3 - 26*t**2 - 360*t + 504. -2*(t - 21)*(t - 2)**2*(t + 3) Factor 5*u**2 + 5100*u. 5*u*(u + 1020) Determine w, given that 3*w**5/2 + 19*w**4 + 28*w**3 + 5*w**2 - 11*w/2 = 0. -11, -1, 0, 1/3 Suppose a**4/6 + 31*a**3/3 + 20*a**2 = 0. Calculate a. -60, -2, 0 Factor -a**5/4 + a**3 + a**2/2 - 3*a/4 - 1/2. -(a - 2)*(a - 1)*(a + 1)**3/4 Factor -7*l**3/2 + 85*l**2/3 + 173*l/6 - 3. -(l - 9)*(l + 1)*(21*l - 2)/6 Suppose -12*l**4 - 1844*l**3 + 18036*l**2 - 36060*l - 32600 = 0. What is l? -163, -2/3, 5 Find m such that 2*m**3/5 + 812*m**2/5 + 82418*m/5 = 0. -203, 0 Suppose -2*z**3 + 4*z**2 + 30*z = 0. Calculate z. -3, 0, 5 What is m in -2*m**2 - 1830*m - 1828 = 0? -914, -1 Determine z, given that 2*z**3 + 10*z**2 - 116*z + 176 = 0. -11, 2, 4 Factor -2*q**5 - 18*q**4 - 28*q**3. -2*q**3*(q + 2)*(q + 7) Factor 2*f**3 + 23*f**2 + 10*f - 11. (f + 1)*(f + 11)*(2*f - 1) Factor 3*w**2 - 18*w - 120. 3*(w - 10)*(w + 4) What is a in 4*a**5 + 24*a**4 - 36*a**3 - 232*a**2 - 48*a + 288 = 0? -6, -2, 1, 3 Find d such that -d**3 - 171*d**2 - 7047*d + 22707 = 0. -87, 3 What is x in -6*x**3/5 + 48*x**2/5 - 18*x = 0? 0, 3, 5 Factor -5*n**4/2 + 115*n**3/2 + 60*n**2. -5*n**2*(n - 24)*(n + 1)/2 Factor 17*z**4/4 - 103*z**3/8 + 105*z**2/8 - 37*z/8 + 1/8. (z - 1)**3*(34*z - 1)/8 Solve 4*f**5 - 12*f**4 - 4*f**3 + 12*f**2 = 0. -1, 0, 1, 3 Determine g, given that -3*g**5 + 54*g**4 - 363*g**3 + 1080*g**2 - 1200*g = 0. 0, 4, 5 What is t in 2*t**2 + 1468*t + 269378 = 0? -367 Let -86*y**2 - 12*y = 0. Calculate y. -6/43, 0 What is z in -2*z**5 - 156*z**4 - 2544*z**3 + 19168*z**2 - 40992*z + 28224 = 0? -42, 2 Factor -3*j**3 - 60*j**2 - 57*j. -3*j*(j + 1)*(j + 19) Determine h so that 3*h**3/5 + 12*h**2/5 = 0. -4, 0 Determine s so that -18*s**5 + 57*s**4 - 3*s**3 - 90*s**2 + 12*s + 24 = 0. -1, -1/2, 2/3, 2 Factor -36*j**3 + 152*j**2 - 32*j. -4*j*(j - 4)*(9*j - 2) Factor h**3 + 82*h**2 - 83*h. h*(h - 1)*(h + 83) What is b in 2*b**5/15 + 12*b**4/5 - 224*b**3/15 + 52*b**2/5 + 138*b/5 = 0? -23, -1, 0, 3 Solve -2*a**2/3 - 1388*a/3 - 240818/3 = 0. -347 Factor 5*o**3 - 75*o**2 - 5*o + 75. 5*(o - 15)*(o - 1)*(o + 1) Solve -3*v**4 - 90*v**3 - 756*v**2 - 1176*v = 0. -14, -2, 0 Factor d**2 - 328*d + 26896. (d - 164)**2 Find m such that -m**2/2 - 97*m - 9409/2 = 0. -97 Factor v**5 + 8*v**4 - 9*v**3 - 92*v**2 + 140*v. v*(v - 2)**2*(v + 5)*(v + 7) Suppose -2*o**2/9 + 9364*o/9 - 10960562/9 = 0. Calculate o. 2341 Determine a so that -162*a**5/5 + 594*a**4/5 - 684*a**3/5 + 312*a**2/5 - 48*a/5 = 0. 0, 1/3, 2/3, 2 Suppose v**2/11 - 5*v/11 = 0. Calculate v. 0, 5 Find z, given that -3*z**4/2 + 41*z**3/4 + 7*z**2/4 = 0. -1/6, 0, 7 Let -3*j**4 + 42*j**3 + 153*j**2 = 0. Calculate j. -3, 0, 17 Suppose 81*s**5/5 + 13608*s**4/5 + 144720*s**3 + 9892608*s**2/5 - 117460992*s/5 + 261685248/5 = 0. Calculate s. -176/3, 4 Solve -2*r**3/5 + 122*r**2/5 + 76*r + 256/5 = 0 for r. -2, -1, 64 Factor -y**2 - 74*y + 152. -(y - 2)*(y + 76) Determine t, given that -54*t**4/13 - 60*t**3/13 + 88*t**2/13 - 16*t/13 = 0. -2, 0, 2/9, 2/3 What is a in -a**2/5 + 5 = 0? -5, 5 Solve 2*n**5/7 - 32*n**4/7 + 96*n**3/7 + 32*n**2/7 - 416*n/7 + 384/7 = 0. -2, 2, 12 Factor -t**4/5 + 4*t**3/5. -t**3*(t - 4)/5 Suppose -s**2/3 + 289*s/3 = 0. What is s? 0, 289 Find l, given that l**5/4 + l**4/4 - 9*l**3/2 - 4*l**2 + 8*l = 0. -4, -2, 0, 1, 4 Suppose b**5/5 - b**4/5 - b**3 - 3*b**2/5 = 0. What is b? -1, 0, 3 Factor 2*c**2/3 + 14*c/9 - 4/3. 2*(c + 3)*(3*c - 2)/9 Factor 2*z**4/11 + 14*z**3/11 + 12*z**2/11. 2*z**2*(z + 1)*(z + 6)/11 Determine c, given that 2*c**4/11 + 12*c**3/11 + 18*c**2/11 - 8*c/11 - 24/11 = 0. -3, -2, 1 Factor 4*r**3 - 140*r**2 - 4*r + 140. 4*(r - 35)*(r - 1)*(r + 1) Find c, given that 2*c**2 + 328*c = 0. -164, 0 Factor -d**4 + 26*d**3 + 56*d**2. -d**2*(d - 28)*(d + 2) Find o such that -2*o**2/7 + 90*o/7 - 88/7 = 0. 1, 44 Solve -3*w**2 - 210*w - 3675 = 0 for w. -35 Factor 2*d**4 - 16*d**3 - 220*d**2 + 2250. 2*(d - 15)*(d - 3)*(d + 5)**2 Factor 3*u**3 + 438*u**2 + 429*u - 870. 3*(u - 1)*(u + 2)*(u + 145) Solve -2*t**3 - 40*t**2 + 42*t = 0. -21, 0, 1 Find s, given that -3*s**3 - 18*s**2 + 120*s = 0. -10, 0, 4 Find l, given that -22*l**4/7 - 214*l**3/7
{ "pile_set_name": "DM Mathematics" }
ors of c? 271 Let k(z) = z**3 - 5*z**2 - 5*z - 4. Let j be k(6). List the prime factors of 1/j + (-18)/(-4). 5 Let r(m) = -m**3 - 10*m**2 - m - 10. List the prime factors of r(-12). 2, 5, 29 Suppose -15 - 35 = -j. What are the prime factors of j? 2, 5 Suppose 3*a - p - 73 = 546, a = 5*p + 225. List the prime factors of a. 5, 41 Let u be 4 - ((0 - -2) + 0). Let o(g) be the first derivative of g**3/3 + g**2 - g - 1. What are the prime factors of o(u)? 7 Suppose -3*i + q = -q - 15, 2*i - q = 10. Suppose 3*m = 191 + 34. Suppose -m = i*k - 10*k. List the prime factors of k. 3, 5 Let n(y) = -y**3 + 19*y**2 - 16*y - 25. List the prime factors of n(18). 11 Suppose -4*t - 115 = -v, -v + 0*v - 2*t = -109. List the prime factors of v. 3, 37 Let n be (-1 - 2)*4/(-6). Suppose 2 = n*o + 4. Let k(y) = -3*y - 1. What are the prime factors of k(o)? 2 Suppose 3*i + 16 = w, -2*i - 1 = 7. Suppose -l + 5*q + 23 = -5, -w*l + 3*q = -61. List the prime factors of l. 13 Suppose -5 + 25 = 5*y. Let z(d) = 4*d - 6. What are the prime factors of z(y)? 2, 5 Suppose 0 = -0*j - 3*j. Suppose j = 3*d + 2*w - 17, d - 9 = -d + w. What are the prime factors of d? 5 What are the prime factors of 8/(-12) + 82/6? 13 Suppose -d + 2 = -0. What are the prime factors of ((-2)/(-2) - -1)*d? 2 Suppose -l - l = -8. Suppose 0 = l*x + 1 - 5. List the prime factors of (1 + -4)/(x/(-4)). 2, 3 Suppose 4 = 2*l - 6. Suppose 3*a + 4*n - 18 = 2*n, 3*a = 2*n + 6. Suppose -4*z = 2*g - 94, l*z - 9 = -a*g + 116. What are the prime factors of z? 3, 7 Suppose 44 + 40 = o. List the prime factors of o. 2, 3, 7 Suppose 12 = -3*m, -3*m = -2*d - 3*d + 57. Let h be (-3)/d + (-1)/(-3). Suppose -3*n + h = -9. List the prime factors of n. 3 Suppose 0*x + 2 = -2*x, 5*x - 15 = -4*d. Let c(n) = 13*n - 1. Let q be c(1). Suppose -q = -v - d. List the prime factors of v. 7 Suppose -12 + 0 = -3*s. List the prime factors of s. 2 Suppose 0 = k + 5*r - 47, k + 5*r = -3*k + 113. What are the prime factors of k? 2, 11 Suppose 23 + 17 = 5*n. Let f(w) = -w**3 - 6*w**2 - 4*w + 7. Let o be f(-5). Suppose -o*z + n + 10 = 0. What are the prime factors of z? 3 Suppose -16 = -u - 3*u. Suppose -3*y + u*y = 2*b, -4*b = -5*y - 6. Let i(m) = -15*m. List the prime factors of i(b). 3, 5 Let s = 3 + -3. Suppose 3*j + 68 = -s*a + 5*a, -j = 3*a - 38. What are the prime factors of a? 13 Let s(f) = f**2 + 5*f - 2. Suppose 0 = b + 6 - 0. Let r be s(b). Suppose -3*k = -j + 18, -j + 18 = -4*k - r. What are the prime factors of j? 2, 3 Suppose 54 = 4*v - v. What are the prime factors of v? 2, 3 Let b = 170 + -118. Suppose 0 = 5*j - j - b. List the prime factors of j. 13 Suppose p - 17 = -4*c, -3*c + 9 = p + p. List the prime factors of c. 5 Let g(u) = 41*u**2 + u. Suppose 5*k = 3*k - 2. Let d be g(k). What are the prime factors of d/6*(-30)/(-25)? 2 Suppose -4*r - 3*l = 12, 0*l + 26 = -3*r + 2*l. Let z(v) = v**2 + 2. What are the prime factors of z(r)? 2, 19 Suppose -2*f = -5*f - 363. Let j be 4/6 + f/(-3). Suppose 11 + j = 4*s. What are the prime factors of s? 13 Suppose -17 = -4*f + 3*q, 4*f - 5*f + 4*q + 14 = 0. Suppose 3*z + f*z - 140 = 0. What are the prime factors of z? 2, 7 Let q = -693 + 1044. What are the prime factors of q? 3, 13 Let m(j) = -3*j - 6*j - 4*j - 1. Suppose 2*z + 0 = -4*y + 10, 3*z - 4*y = -15. What are the prime factors of m(z)? 2, 3 Let x be -1 - -4*(-5)/(-2). Let l be 3/((-4)/((-60)/x)). Suppose -l*w + 1 = -19. List the prime factors of w. 2 What are the prime factors of 13/(-39) + (-422)/(-6) + 1? 71 Let v = 28 - 0. What are the prime factors of v? 2, 7 Let k = -8 - -9. Let w = -2 - k. List the prime factors of 1 - (-2 + w*4). 3, 5 Let j(r) = 7 + 6*r**2 - r**2 - 3*r**2 - 6*r - 4*r. List the prime factors of j(6). 19 Suppose -y = -3 - 1. Suppose 2*k = y*z + 30, -3*k - z + 37 = z. List the prime factors of k. 13 Let y be -3*-9*(-4)/(-4). Suppose 6*f - y = 5*f. What are the prime factors of f? 3 What are the prime factors of (-33)/(-1) + 8 + -4? 37 Let m(w) = 8*w + 7. Let p(y) = 7*y + 7. Let u(h) = -5*m(h) + 6*p(h). What are the prime factors of u(0)? 7 Let f(v) = v + 16. Let t be f(-13). List the prime factors of (-1)/t + 201/9. 2, 11 Suppose -4*v - 3 = 21. What are the prime factors of v/(-15) + 163/5? 3, 11 Let n be 15/9 + (-2)/(-6). What are the prime factors of n/(8/58)*2? 29 Suppose 2*z - 3*y + 0*y - 53 = 0, -z - 5*y = -33. What are the prime factors of z? 2, 7 Let q(h) = h**3 - 6*h**2 - 8*h + 7. Let u be q(7). Suppose -3*l + 0*l + 9 = u. What are the prime factors of l? 3 Let r = -96 - -141. List the prime factors of -20*-3*12/r. 2 Let l be 13/5 - (-4)/10. Let i be ((-14)/l)/(2/(-3)). Suppose -g - i = -2*g. What are the prime factors of g? 7 Suppose 192 = 5*s - 3*s. What are the prime factors of s? 2, 3 List the prime factors of (19/(-1))/(21/6 + -4). 2, 19 Let t = 25 + -41. List the prime factors of 6/(-2*6/t). 2 Suppose 215 = 2*a + 3*z, 4*a + 3*z = 4*z + 437. What are the prime factors of a? 109 Let b = -111 + 177. List the prime factors of b. 2, 3, 11 Let d(q) = -8*q**3 + 2*q**2 - 3*q. Let g be d(2). List the prime factors of g/(-6) - (-4)/(-12). 2, 5 Let y = -8 - -90. What are the prime factors of y? 2, 41 Let b(r) = 2*r**2 - 5*r - 3. List the prime factors of b(-3). 2, 3, 5 Let u = -107 + 133. What are the prime factors of u? 2, 13 Suppose -4*m + 71 - 11 = -2*v, -4*v = 5*m - 49. What are the prime factors of m? 13 Let i(b) = 4*b - b - 4*b + 5 + 5. Let l be i(5). Suppose 0*a - 25 = -l*a. What are the prime factors of a? 5 Let h(n) = -5*n - 6 + 0*n + 2*n**2 - 3*n. Let g be h(6). Let b = g - 11. List the prime factors of b. 7 What are the prime factors of (-2)/(-1) - (0 + -39)? 41 Let f = -3 - -6. Suppose 4*h - 4 = -3*k, -3*h = k - 2*h - f. What are the prime factors of k? 2 Suppose 0 = -4*f + 388 - 136. List the prime factors of f. 3, 7 Suppose 4*q + 2 - 350 = 0. List the prime factors of q. 3, 29 Suppose 2*a - 2*i - 2 = 0, 2*a - 4*i - 2 = 2. Suppose 4*m - 2*y = -a*y + 80, 0 = 3*y. Suppose d = 5*d - m. What are the prime factors of d? 5 Let r be (-1)/((-1)/8) + -2. List the prime factors of (2/r)/(5/90). 2, 3 Let p = -18 + 112. What are the prime factors of p? 2, 47 Let w = 250 + -155. What are the prime factors of w? 5, 19 Suppose 8 = -3*m - m. What are the prime factors of (-4)/m + -3 + 14? 13 Suppose 0 = t - 3*s - 34, 3*t - 4*s = 2*t + 33. List the prime factors of t. 37 Let t = 9 - 1. Let s = t - 6. List the prime factors of s. 2 Let q(z) = z**3 - 7*z**2 + 7*z - 9. Let p be q(6). Let r(k) be the third derivative of -k**4/4 - 2*k**3/3 - 5*k**2. What are the prime factors of r(p)? 2, 7 Let d = -159 + 238. What are the prime factors of d? 79 Suppose -4*y - 21 = -1. Let s(b) = -5*b. List the prime factors of s(y). 5 Let w be 255/(-10)*4/(-6). Suppose -5*x = -33 - w. What are the prime factors of x? 2, 5 Let h(q) = -q**3 - 5*q**2 + 9*q + 6. List the prime factors of h(-7). 41 List the prime factors of (-62)/(-6) + 22/33. 11 Suppose 11*p - 462 = -0*p. List the prime factors of p. 2, 3, 7 Let l(a) = -18*a**3 - 2*a**2 - a. Let z = 1 - 2. List the prime factors of l(z). 17 Let l(z) = -z**3 + 5*z + 1. Let k(s) = 3*s - 1. Let o be k(-1). List the prime factors of l(o). 3, 5 Let w(y) = y**2 + 1. Let f be w(2). Let u be 3*1*2/3. Let i = f - u. What are the prime factors of i? 3 Suppose -378 = -12*q + 414. What are the prime factors of q? 2, 3, 11 Suppose -5*h = 3*o - 18, -3*h + 7 = 5*o - 7. Let n = 0 - o. List the prime factors of (n - 1 - -22)*1. 2, 5 Let p = 1 - -22. Suppose -22 = -z + 5*v, -z - p = -3*z + 3*v. List the prime factors of z. 7 Let a(t) be the third derivative of -t**4/12 - t**3 - 5*t**2. What are the prime factors of a(-9)? 2, 3 Let d = 5 + -1. Suppose -v + 50 = d*v. Let h(k) = k**3 - 10*k**2 + 8. What are the prime factors of h(v)? 2 Let u(r) = r**3 - r**2 + 5*r + 3. Let v be u(4). Let z = -50 + v. What are the prime factors of z? 3, 7 Let f(u) = 13*u + 8. List the prime factors of f(4). 2, 3, 5 Let g(y) = 8*y - 2 - 2*y**2 + y**2 + 3 + 6. Let t be g(8). Suppose -56 - t = -3*d. List the prime factors of d. 3, 7 Let u(x) = 0*x + 1 + 1 + 0*x - 6*x. List the prime factors of u(-2). 2, 7 Let s be 1 + -3 + 1 - -4. Let b be -2*(-2)/4 + s. List the prime factors of (-6 - (2 - b))/(-2). 2 Let c be 4/(-24) + 1
{ "pile_set_name": "DM Mathematics" }
base 16? -1d7ef7 Convert -2e005 (base 15) to base 6. -3103305 Convert 104553645 (base 7) to base 4. 120022011321 1367240 (base 10) to base 2 101001101110011001000 Convert -100212220111 (base 3) to base 4. -233200033 What is 1200201020020 (base 3) in base 8? 3335252 -39b7bb (base 12) to base 6 -32233155 What is 55a40 (base 12) in base 16? 1bc90 -100012120110 (base 3) to base 7 -1353210 -5034 (base 6) to base 15 -4d7 Convert -254512a (base 11) to base 10. -4413749 -2127200 (base 9) to base 16 -11665e What is -18b93 (base 16) in base 10? -101267 Convert 1010031 (base 7) to base 11. 82237 Convert 101719 (base 15) to base 12. 30a3b9 Convert 13102403210 (base 5) to base 13. 3433b58 1210c5 (base 14) to base 8 2266145 What is -8b9272 (base 12) in base 9? -4175355 Convert -11000010011110111101000 (base 2) to base 15. -85d3b0 What is 2112113 (base 6) in base 12? 4b639 -4249 (base 15) to base 3 -201020020 Convert -1932475 (base 11) to base 8. -14357113 -11001110001111001001111 (base 2) to base 9 -13640162 What is 312565 (base 7) in base 14? 1586c What is -8dfd0 (base 16) in base 8? -2157720 What is 23452240 (base 7) in base 12? 8438ba -202112020211112 (base 3) to base 5 -10243044424 What is -11204123 (base 8) in base 3? -11120022011112 -21001112002 (base 3) to base 11 -95394 Convert -2766b (base 14) to base 9. -157433 Convert -54632 (base 8) to base 11. -16263 -34257 (base 9) to base 14 -8457 6cbcc (base 13) to base 3 101011000102 What is 5312055 (base 6) in base 16? 3f143 -1c14a71 (base 14) to base 3 -222102001020012 105103355 (base 6) to base 5 442441323 2643506 (base 7) to base 9 578022 Convert d2c81 (base 15) to base 6. 22151104 1191624 (base 10) to base 4 10202323020 What is 101424314 (base 6) in base 10? 1760950 What is 100020110210200 (base 3) in base 15? 66ee00 -1111101011110001011011 (base 2) to base 4 -33223301123 6312262 (base 7) to base 11 479725 What is 3b44f (base 16) in base 14? 64687 -111000101010100011110 (base 2) to base 9 -3440038 Convert 1001221201220002 (base 3) to base 15. 153e14e What is -150114211 (base 6) in base 11? -1820055 What is -132232222 (base 6) in base 11? -1538a89 Convert -7851523 (base 9) to base 8. -20076607 -12240111 (base 5) to base 9 -200064 2a1279 (base 11) to base 7 3665522 23210311023 (base 4) to base 14 58dbbd Convert 110101102220202 (base 3) to base 9. 13342822 Convert -616c0 (base 14) to base 3. -102220210022 What is -ec24 (base 15) in base 7? -265504 What is 27570 (base 10) in base 12? 13b56 Convert b534a3 (base 15) to base 7. 133150461 -168b688 (base 13) to base 15 -995683 What is 1c18b (base 13) in base 3? 2210201210 What is -1104523 (base 7) in base 8? -411632 Convert -14553601 (base 7) to base 9. -2550704 20b80a1 (base 12) to base 9 12621014 Convert -1053344532 (base 6) to base 10. -11646920 What is 1264225 (base 7) in base 4? 220303312 Convert -101132044 (base 5) to base 16. -64784 What is -31304313 (base 5) in base 12? -106532 Convert 21101211220222 (base 3) to base 15. 52a7be -12321020211 (base 5) to base 14 -1dcc8dd -3203415 (base 7) to base 9 -650856 -1a1b22 (base 16) to base 6 -100400430 Convert -221344 (base 6) to base 14. -6a52 Convert -1666ba (base 12) to base 6. -12124354 Convert 1230235 (base 6) to base 7. 363656 What is 5307123 (base 8) in base 5? 330201231 Convert 434230002 (base 5) to base 8. 7077356 Convert -141155 (base 8) to base 15. -eb33 What is -21322140 (base 5) in base 13? -65282 -1410232 (base 8) to base 13 -10bbb4 1102013430 (base 5) to base 10 2376115 What is 15779 (base 16) in base 11? 60076 Convert 221012312201 (base 4) to base 13. 2303b19 What is -52343515 (base 7) in base 15? -5c2e34 What is 5847 (base 9) in base 14? 181a Convert -451c5 (base 13) to base 11. -86375 Convert 20102202101 (base 3) to base 15. 277e7 What is -926422 (base 12) in base 9? -4272838 What is 100001011110101101 (base 2) in base 12? 67439 What is 4504510 (base 6) in base 7? 1632336 What is 5b97d (base 14) in base 11? 143443 What is -564a77 (base 12) in base 7? -14463430 -510502352 (base 6) to base 10 -8717468 -20901b (base 13) to base 9 -1381712 Convert 2213221 (base 9) to base 14. 22d8d7 141111320 (base 5) to base 2 10110000011100010110 -11110011111110001101 (base 2) to base 13 -28cb0c What is 4134133 (base 5) in base 4? 100213023 What is -26963b (base 16) in base 11? -1477a44 Convert -12212 (base 16) to base 8. -221022 563112 (base 7) to base 3 12001112020 -17736 (base 10) to base 12 -a320 What is 101000101011000100001 (base 2) in base 6? 44322121 What is 930739 (base 13) in base 7? 41066530 83ca16 (base 14) to base 13 bcb981 Convert -274042 (base 10) to base 14. -71c26 What is cd7337 (base 14) in base 8? 32463325 Convert -4531064 (base 11) to base 3. -112221020021102 -63457 (base 8) to base 14 -98ab -36321365 (base 7) to base 15 -43caa8 211121222021 (base 3) to base 14 b8463 What is -5edded (base 15) in base 9? -8508047 1022122012201102 (base 3) to base 16 120fd4f What is 3020a8 (base 12) in base 2? 10110111001000000000 Convert -310533 (base 11) to base 8. -1715403 What is 33342510 (base 7) in base 5? 1214301124 11110011101010000 (base 2) to base 5 12443002 -24311113 (base 8) to base 14 -9d22b9 What is -185c96 (base 13) in base 12? -256845 What is -10723 (base 10) in base 9? -15634 Convert 2b21 (base 13) to base 12. 3774 What is 14345032 (base 6) in base 8? 1711054 Convert 3340212 (base 8) to base 3. 1200210021221 Convert 110125211 (base 6) to base 13. 540226 What is -212134 (base 6) in base 13? -7b79 What is -3c8668 (base 13) in base 15? -1e21c7 -125118 (base 13) to base 12 -192486 What is a1a7e (base 15) in base 5? 112340434 What is -288515 (base 11) in base 5? -103403444 Convert -8ac287 (base 15) to base 14. -c45555 What is 4053413 (base 6) in base 10? 193905 1158424 (base 9) to base 2 10011001101011100001 -100513023 (base 6) to base 16 -1a4087 8b0743 (base 16) to base 10 9111363 What is -138a06 (base 11) in base 14? -59046 252052 (base 7) to base 2 1011010100000110 What is -acb7 (base 16) in base 2? -1010110010110111 8493 (base 10) to base 3 102122120 Convert -111341 (base 6) to base 8. -22315 -636526 (base 7) to base 5 -12012433 -2d0c3 (base 14) to base 7 -646333 Convert -1123111141 (base 5) to base 6. -130401124 What is -15530623 (base 9) in base 10? -7755609 6128c3 (base 15) to base 10 4615608 What is -4333585 (base 9) in base 5? -1043402023 What is -18e083 (base 15) in base 4? -10213311210 -17042 (base 8) to base 9 -11521 -110234101 (base 5) to base 14 -c5da1 Convert -38cec7 (base 15) to base 3. -12010112200121 What is 969f9 (base 16) in base 4? 2112213321 Convert 1110000011001000101 (base 2) to base 6. 13511141 -27251413 (base 8) to base 11 -34a8138 121315450 (base 6) to base 13 62c47b 334255353 (base 6) to base 3 102110022220020 What is -3dd48 (base 15) in base 11? -126356 What is 1133699 (base 12) in base 15? 453ac9 Convert -132230111 (base 5) to base 11. -4141a6 Convert 203002234 (base 5) to base 16. ca41c 20341 (base 13) to base 4 32011102 Convert 28b3e9 (base 15) to base 13. 538c14 124112444 (base 5) to base 4 2111301323 Convert -1108837 (base 12) to base 6. -153353311 What is 142553140 (base 6) in base 8? 13153564 -2d66d (base 15) to base 13 -51943 -1210231303 (base 4) to base 12 -17a897 Convert 2052a1 (base 11) to base 8. 1202626 56216140 (base 8) to base 9 24740160 -31757 (base 12) to base 13 -2378b Convert 4248604 (base 11) to base 13. 171ab2c 144332154 (base 6) to base 5 1232414302 Convert 1122011333 (base 4) to base 3. 200202012112 Convert 6456a (base 12) to base 10. 132130 Convert 1420226 (base 7) to base 15. 3b382 -102020202112 (base 3) to base 16 -36101 241441 (base 8) to base 16 14321 4f6c53 (base 16) to base 13 1103235 161763 (base 9) to base 7 563604 Convert -21a4260 (base 11) to base 15. -5128b0 Convert -31083 (base 10) to base 7. -156423 -10011000001011100100 (base 2) to base 6 -21205444 What is 223a780 (base 11) in base 10? 3923392 -431272 (base 8) to base 9 -238544 4234121103 (base 5) to base 10 8895153 Convert -23257701 (base 9) to base 4. -223022321203 What is c616b9 (base 16) in base 12? 4420849 What is -153361 (base 9) in base 14? -26547 -2d8b (base 14) to base 9 -12165 -32301324 (base 5) to base 9 -458463 36abb (base 13) to base 4 120211211 What is 363a1d (base
{ "pile_set_name": "DM Mathematics" }