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5*w(r). Determine -9*a(l) + 2*z(l). -l**2 - l Let w(h) = -h**2 - 6*h + 8. Let u be w(2). Let n(s) = -1 + 5*s + 5 - 3*s. Let l(c) = -4 - 2 + 2*c - 5*c. Calculate u*n(p) - 5*l(p). -p - 2 Let a(m) = -2*m - 1. Let k(b) = 55*b + 35. What is -25*a(j) - k(j)? -5*j - 10 Let a(n) = -1190*n + 170. Let o(p) = -85*p + 12. Calculate -6*a(s) + 85*o(s). -85*s Let q(l) = -11*l + 4. Let x(o) = -3*o - 1. Let m(p) = q(p) - 3*x(p). Let r(u) = -u + 6. Determine -3*m(a) + 4*r(a). 2*a + 3 Let w(r) = 68*r. Let i(l) = -205*l + 1. What is -4*i(m) - 11*w(m)? 72*m - 4 Let p(x) = 36*x. Let o(b) = 144*b - 80*b - 71*b. Determine -11*o(h) - 2*p(h). 5*h Let d(o) = -2 + 0 - 6*o + 5. Let k(p) = -8*p + 115. Let c(s) = -7*s + 96. Let v(z) = -6*c(z) + 5*k(z). Give -3*d(t) - 8*v(t). 2*t - 1 Let k(c) = -c + 1. Let q = 2153 - 2157. Let v(d) = 2*d**2 + 2*d - 2. Calculate q*k(g) - 2*v(g). -4*g**2 Let h(r) = 179*r. Let b(q) = -896*q. Calculate 4*b(z) + 21*h(z). 175*z Let c(r) = 11*r**2 - 7*r - 5. Let f(k) = -17*k**2 + 10*k + 7. Suppose 3*m + 19 = h, 263*h + 22 = 265*h - 2*m. Calculate h*c(o) + 5*f(o). -8*o**2 + o Let k(a) be the first derivative of -a**3/3 - a**2/2 - a + 57. Let i(q) = 8*q**2 + 3*q + 3. Determine -i(z) - 3*k(z). -5*z**2 Let l(g) = 4*g + 4. Let f(m) be the second derivative of m**3/2 + 2*m**2 + 9*m. What is 5*f(k) - 4*l(k)? -k + 4 Let x(s) be the third derivative of 5*s**4/24 + 17*s**3/6 + 6*s**2. Let u(n) = -n - 4 - 1 + 1. Calculate -9*u(g) - 2*x(g). -g + 2 Let o(m) = m**3 + 2*m**2 - 4*m. Let x(i) = 2*i**3 + 5*i**2 - 7*i - 1. Determine 9*o(p) - 4*x(p). p**3 - 2*p**2 - 8*p + 4 Let a(f) be the first derivative of 7*f**2/2 - 11*f - 66. Let z be (-27)/(-5) - (-6)/(-15). Let t(q) = -z + 3*q - 1 + q. Calculate 6*a(n) - 11*t(n). -2*n Let n(c) = 19*c**3 + 5*c**2 - 10. Let s(f) = 9*f**3 + 2*f**2 - 4. Calculate 2*n(m) - 5*s(m). -7*m**3 Let a(k) = 5*k**2 + 5*k - 48. Let m(q) = -9*q**2 - 9*q + 96. Calculate 5*a(v) + 3*m(v). -2*v**2 - 2*v + 48 Let b(a) = -11*a - 17. Let l be 3 + 2 + (-4)/(-4). Let y(d) = -4*d - 1. Let z(j) = -44*j - 6. Let h(o) = 12*y(o) - z(o). Determine l*b(v) - 17*h(v). 2*v Suppose -j = 2*j - 6. Let q(c) = 3*c - 3. Let m(a) = -8*a - 4*a + 0 - a + 12. Give j*m(n) + 9*q(n). n - 3 Let s(d) = -d + 4. Let z be s(2). Let f(i) be the second derivative of i**3/6 - 3*i**2/2 + 2210*i. Let u(m) = -2*m + 3. What is z*u(x) + 3*f(x)? -x - 3 Let u(j) = -3*j - 1. Suppose -4*k = 2*l - 7*l + 3, -5*l - 2*k + 21 = 0. Let w(m) = m. Calculate l*u(p) + 8*w(p). -p - 3 Let h(p) = 8*p**3 - p**2 + 2. Let r be 60/25 - (-6)/10. Suppose 0 = -4*u + 1 + r. Let b = 0 - u. Let f(i) = i**3. Calculate b*h(g) + 6*f(g). -2*g**3 + g**2 - 2 Let f(a) = -2*a**3 + 6*a**2 + 0*a**3 + 10 + 7 + 9*a**3 + a - 25. Let m(g) = 20*g**3 + 17*g**2 + 3*g - 23. Calculate -17*f(x) + 6*m(x). x**3 + x - 2 Let k(y) = -10*y**3 + 2*y**2 - 3*y. Let l(w) = -11*w**3 + 3*w**2 - 4*w. What is 3*k(s) - 2*l(s)? -8*s**3 - s Let v(p) = 906*p**3 + 4*p**2 - 18*p + 54. Let z(f) = 259*f**3 + f**2 - 5*f + 15. What is -5*v(s) + 18*z(s)? 132*s**3 - 2*s**2 Let y(q) = -10*q**2 + 6*q + 7. Let v(a) = -29*a**2 + 17*a + 20. Suppose 238 = 68*g - 82*g. What is g*y(w) + 6*v(w)? -4*w**2 + 1 Let g(x) = -13*x**2 - 2*x - 34. Let h(u) = -24*u**2 - 4*u - 68. Calculate 11*g(t) - 6*h(t). t**2 + 2*t + 34 Let x(n) = -43*n + 113. Let f(v) = -15*v + 40. Let j(u) = -17*f(u) + 6*x(u). Let l(c) = c + 1. Calculate j(s) + 4*l(s). s + 2 Let s(v) = 2*v - 2. Let c(w) = -209*w + 11. Determine c(j) + 5*s(j). -199*j + 1 Let b(a) = -29*a + 6. Let v(w) = 5*w - 1. Suppose -3*l = 3*y - 114, 0 = -5*y + 4*l + 23 + 131. Determine y*v(o) + 6*b(o). -4*o + 2 Let u(k) = 3*k**2 - 8*k - 28. Let n(a) = -a**2 + 6*a + 29. Calculate -4*n(w) - 3*u(w). -5*w**2 - 32 Suppose -3*r - 12 = -5*r. Suppose i = -2 + 2. Let v(k) = -6*k - 2 + 8 + i + 15*k. Let u(n) = 8*n + 5. Calculate r*u(q) - 5*v(q). 3*q Let m(a) = 5*a**3 + 6*a**2 - 2*a + 10. Let l(r) = -4*r**3 - 7*r**2 + 2*r - 9. Calculate 4*l(k) + 3*m(k). -k**3 - 10*k**2 + 2*k - 6 Let h = -660 + 652. Let k(z) = -11*z**3 + 8*z**2 + 2*z + 1. Let c(d) = -7*d**3 + 5*d**2 + d + 1. Determine h*c(g) + 5*k(g). g**3 + 2*g - 3 Let j(n) = -n**3 + 19*n**2 - 59*n - 9. Let t be j(15). Let c(f) = -3*f**3 - 5*f**2 + 5*f + 7. Let v(d) = -2*d**3 - 3*d**2 + 3*d + 4. Give t*c(a) - 10*v(a). 2*a**3 + 2 Let b(n) = 2 + 0 + 1 - 1. Let g(z) = 1. Let v(s) = -6*b(s) + 11*g(s). Let i(x) = -x - 4. Determine -i(p) + 4*v(p). p Let w(t) = 4*t**3 + 2*t**2 - 2*t - 3. Let g be (-19)/(-3) + 2 + (-160)/120. Let u(r) = -9*r**3 - 4*r**2 + 5*r + 7. Determine g*w(a) + 3*u(a). a**3 + 2*a**2 + a Let a(p) = -34*p**3 + 5*p**2 + 19*p + 5. Let j(q) = -q**3 + q**2 + q + 1. Determine a(f) - 5*j(f). -29*f**3 + 14*f Let l(z) = -2*z**2 + 1. Let m(f) = -9*f**2 + 2*f - 4. Give -2*l(x) + m(x). -5*x**2 + 2*x - 6 Let f be 12/(6 + -3)*(-5)/(-2). Let g be 5/(25/f) + -3. Let t(q) = 18*q + 12. Let p(l) = -l - 1. What is g*t(k) - 12*p(k)? -6*k Let y(l) = -8*l + 7. Let x(u) = 9*u - 5. Calculate 3*x(w) + 4*y(w). -5*w + 13 Let c(r) = 12*r**2 - r - 12. Let p(n) = -21*n**2 + 2*n + 23. Calculate 11*c(y) + 6*p(y). 6*y**2 + y + 6 Let c(y) = 9*y**2 - 7*y + 7. Let m(a) be the second derivative of -a**4/2 + 5*a**3/6 - 5*a**2/2 + 12*a. Let l be 7*(-1 - (-6)/3). Give l*m(x) + 5*c(x). 3*x**2 Let z(m) = 2*m**2 + 11*m - 14. Suppose -4*f = 4*o - 4, -4*o + 6*o - 8 = 0. Let d(t) = t**2 + 4*t - 5. What is f*z(n) + 8*d(n)? 2*n**2 - n + 2 Suppose 121 = -18*u + 7*u. Let f(a) = -66*a**2 - 11*a - 11. Let z(o) = -13*o**2 - 2*o - 2. Give u*z(m) + 2*f(m). 11*m**2 Let j(y) = -y**3 + 3*y**2 + 2*y. Suppose -2*o + 5*a - 19 = 0, o = 3*a - a - 7. Let b(h) = -3*h**3 + 8*h**2 + 5*h. Determine o*b(r) - 8*j(r). -r**3 - r Let j(f) = 5*f**2 - 1. Let h(b) = -2*b**2 + 1. Let k be -1 + 20*(-8)/(-20). What is k*h(s) + 3*j(s)? s**2 + 4 Let h(j) = 306 + 303 - 608. Let i(w) = w + 5. Calculate 9*h(o) - 2*i(o). -2*o - 1 Let j(k) = -k**2 + 7*k + 6. Suppose 0*l = l + 6. Let b(w) = w**3 + 7*w**2 + 5*w - 1. Let y be b(l). Let t(z) = z**2 - 8*z - 7. Determine y*t(q) + 6*j(q). -q**2 + 2*q + 1 Let o(q) = -31*q - 1. Let p(s) = -97*s - 2. Give 7*o(x) - 2*p(x). -23*x - 3 Let n(v) = -37*v + 6. Let m(x) = -38*x + 7. Give -3*m(s) + 4*n(s). -34*s + 3 Let u(v) = -2*v**3 - 3*v**2 - 4. Let t(w) = -2*w**3 - 4*w**2 - w - 5. Determine 3*t(n) - 4*u(n). 2*n**3 - 3*n + 1 Let u(q) = 19*q**2 + q - 3. Let z(a) = -38*a**2 - 2*a + 6. What is -7*u(x) - 4*z(x)? 19*x**2 + x - 3 Let m(f) be the second derivative of f**3/6 - 2*f**2 - 2*f. Suppose 0 = -2*p + 7*p - 35. Let h(s) = -p + 366*s - 364*s + 0. Determine 6*h(x) - 11*m(x). x + 2 Let l(r) = 1257*r**2. Let h(n) = 628*n**2. What is 9*h(s) - 5*l(s)? -633*s**2 Let x(w) be the second derivative of w**4/4 - 11*w**3/6 + 15*w**2/2 + 36*w - 1. Let k(q) = -q**2 + 5*q - 7. Give 9*k(j) + 4*x(j). 3*j**2 + j - 3 Let q(t) = 64*t**2 - 6*t - 3. Let c(f) = -126*f**2 + 14*f + 7. What is -3*c(z) - 7*q(z)? -70*z**2 Let f(b) be the first derivative of 5*b**2/2 + 1. Let y = -3135 - -3136. Let i(h) = h. What is y*f(o) - 6*i(o)? -o Let g(x) = 13*x**2 - 6. Let b(f) = -481*f**2 + 221. Suppose 8 = 3*y + 38*r - 33*r, y + 3*r = 0. Give y*b(h) + 221*g(h). -13*h**2 Let p(z) = 3*z**2 - 48*z + 12. Let m(k) = -k**2 + k - 3. Determine -4*m(h) - p(h). h**2 + 44*h Let k(b) = 3*b + 3. Suppose c = -4*c + 55. Suppose -5*o + 13 = -2*p - c, 3*o - 24 = -2*p. Let d(s) = -4*s - 4. What is o*k(g) + 5*d(g)? -2*g - 2 Let r(q) = q**2 + q + 2. Let c(a) = 102*a**2 + 34*a + 68. What is -4*c(g) + 136*r(g)? -272*g**2 Suppose 0 = h - 6*h + 20. Suppose i + 5 = 2*w, h = -2*w - 3*i - 3. Suppose w = -2*m - 3. Let g(z) = z. Let l(x) = 2. Determine m*g(c) - l(c). -2*c - 2 Let t(w) = 13*w**2 - 10*w - 9. Let j(l) = -l**2 - 9*l + 18 - 15 + l - 3*l**2 + 11*l. Calculate -7*j(m) - 2*t(m). 2*m**2 - m - 3 Let n(s) = 22*s**3 - 9*s**2 + 11*s + 23. Let v(o) = -8*o**3 + 3*o**2 - 4*o - 7. What is 3*n(z) + 8*v(z)? 2*z**3 - 3*z**2 + z + 13 Let y(c) = 40*c**2 - 4*c - 4. Let x(f) = -f**3 + f + 1. What is 4*x(v) + y(v)? -4*v**3 + 40*v**2 Let i(h) = 782*h**2 - 7*h + 14. Let n(b) = -521*b**2 + 5*b - 10. Give -5*i(a) - 7*n(a). -263*a**2 Let z = 98 + -97. Let w be (-4)/(-2 - 0)*-6. Let u(l) = 2*l**2 - 12*l - 12. Let g(p) = -p - 1. What is w*g(r) + z*u(r)? 2*r**2 Let y(d) = -d**3 - 36*d**2 - 459*d + 920*d - 452*d
{ "pile_set_name": "DM Mathematics" }
x + 2 - 1, -3*d = 4*x + 6. What is the biggest value in -2/11, -1/3, 4/3, d? d Let m = -18 - -14. Let y be (m/60)/(5/(-6)). Which is the smallest value? (a) 0.4 (b) y (c) 8 b Let b = 11.3 + -11. What is the second smallest value in b, 3, 0.5? 0.5 Let q be 49/((-161)/(-51) - 3). Let l = -312 + q. Which is the biggest value? (a) -2 (b) l (c) -5 b Let z = 0.2 - 0.7. Let m = 180.8 - 166. Let g = 15 - m. Which is the second smallest value? (a) 1 (b) z (c) g c Let p(w) = -w**3 - 9*w**2 - 5*w + 26. Let q be p(-8). What is the third biggest value in q, 11, -5? -5 Let q(k) = -k - 4. Let u be q(0). What is the smallest value in u, 0, 3, -0.1? u Let n = 0.1 + 0. Let z = 0 - n. Let d = 7 - 12. Which is the smallest value? (a) d (b) z (c) -1 a Let h = 28/3 - 215/24. What is the second smallest value in -1, 0.05, h? 0.05 Let w = 0 + 0. Let u = -0.3 - w. Let l = 23 + -22.5. Which is the third smallest value? (a) 0.2 (b) u (c) l c Let s(l) = -l**3 + 4*l**2 + 3*l + 7. Let x be s(5). What is the third smallest value in x, 1/5, -1/5? 1/5 Let o = -18 + 26. Let w = -12 + o. Which is the third smallest value? (a) 3/8 (b) w (c) -2/7 a Let z = 15 + -14.1. Let a = 0.6 - z. Let l = 2/115 + -353/460. What is the third smallest value in a, l, 0? 0 Let g = 2.2 + -2. What is the second biggest value in g, 0.5, 0? g Let d = 0.2 - 5.2. Let x = -5.4 - d. Let u = 0.4 + x. What is the biggest value in -5/4, 0.3, u? 0.3 Let w be (-7)/(-3) + -12 + 9. Which is the third smallest value? (a) 6 (b) 4 (c) w a Let u = -0.11 + -2.89. What is the third biggest value in -1, u, 2? u Suppose -3*m + 4*m - 2 = 0. Let r = 2 - m. Let h be (-2)/8 + 2/4. Which is the biggest value? (a) h (b) -3 (c) r a Let k(x) = x**2 + 4*x - 5. Let i be k(-6). Let b be 4/(-35) + (-2)/i. Let n(a) = -a + 11. Let w be n(6). What is the second smallest value in w, b, 4? 4 Suppose 0 = -m + 1 - 0. Let z = 11 + -14. Let n be 6*(-4)/(-6) - 0. Which is the second biggest value? (a) m (b) z (c) n a Let a = 12/31 - 28/713. Let h = a - 102/161. What is the third smallest value in h, 0, -2? 0 Let j be (-17)/(-374)*(-4)/2. Which is the second biggest value? (a) j (b) -1/3 (c) 0 a Let p be 95/(-35) + (-4)/14. Which is the third smallest value? (a) p (b) 3 (c) 6/5 b Let b = -0.37 + 5.37. What is the third smallest value in b, -4, -0.02, -0.2? -0.02 Let h = -1994/63 + 220/7. Let v = 171 + -1200/7. Let y = 1591 - 1592. What is the third biggest value in y, v, h? y Let y = -0.54 + 0.4. Let r = -0.16 + y. Let n = -0.4 - -0.3. Which is the second biggest value? (a) n (b) -0.5 (c) r c Let k = -9038179/182 - -49660. Let g = 1/26 + k. Suppose -13 = -5*h - 38. Which is the third smallest value? (a) g (b) -1/3 (c) h a Suppose 8*m - 4 = 36. Which is the second biggest value? (a) 3 (b) m (c) -5 a Let q = -6 - -5.1. Let n = q - -1.9. What is the second smallest value in -4, n, 1/14? 1/14 Let w = -0.4 + 0.7. Let i be -1*(1 - -1) - 1. What is the smallest value in w, i, 0? i Let d = -0.011 + -2.989. What is the biggest value in -1/6, 8, d? 8 Let b = -48.07 + 44. Let k = b + 0.07. What is the second biggest value in -0.4, 1/2, k? -0.4 Let h = -75 - -72. Which is the third biggest value? (a) h (b) 1/9 (c) 4 (d) 5 b Suppose 3*j + 7 = z + 4*j, 5*z = -4*j + 33. Suppose -z*x - 11 = 9. Let q = 795/13 + -61. Which is the third smallest value? (a) x (b) q (c) -2/13 b Let o = 147 - 146. Which is the biggest value? (a) 0.22 (b) 0.2 (c) o c Let s = 3.7 + -0.7. Let j = 575/7 - 82. Which is the smallest value? (a) 2 (b) j (c) s b Let a be ((-10)/25)/((-34)/(-10)). Let c = -0.4 + 4.4. What is the third biggest value in 0.5, a, c? a Let n = -0.01 - -2.01. Let z = -23 - -22.4. Which is the biggest value? (a) -2/7 (b) n (c) z b Let n = -24 + 27.6. Let k = n + -4. Which is the smallest value? (a) k (b) 5 (c) 1/6 a Let l be ((-30)/(-75))/((-2)/10). Which is the second biggest value? (a) -0.2 (b) -2/9 (c) l b Let c = 39/92 + -4/23. What is the third biggest value in -0.4, c, 0.2? -0.4 Let l = -2 + 5. Let x be l - 0 - (4 - 2). Let n be 9/(-6) + 1 + x. Which is the smallest value? (a) n (b) -0.5 (c) 0.4 b Let j(c) = -c + 7. Let d be j(5). Let s be d + 51/(-12) + 2. What is the second biggest value in -3, s, -5? -3 Let d = -1.91 - 0.09. Which is the third biggest value? (a) 3 (b) d (c) 1 b Let u = 35 + -33. Which is the second smallest value? (a) u (b) 4/3 (c) -3/5 (d) -2 c Let o be ((-12)/(-255))/(4/(-10)). Let f = 0.1 - -0.3. Let c = 20/13 + -87/65. What is the third smallest value in f, o, c? f Let z = 0.22 + -3.22. Suppose 0*g + 5*g + 5 = 0. What is the third smallest value in z, g, -2/11? -2/11 Let z = 41/2 - 127/6. Which is the second smallest value? (a) z (b) 1/2 (c) 2 b Let j = 9 - 5. Let l be (-30)/40*16/102. Which is the third smallest value? (a) l (b) j (c) -1 b Let x = 247/7 - 35. Suppose -q - 1 = h, 3*q - 20 = 8*q. Suppose -h = s - 1. Which is the third biggest value? (a) x (b) 1/7 (c) s c Let l = -0.1 + -0.1. Let v = 0.2 - -0.3. Let u = 0.3 + -0.2. Which is the biggest value? (a) v (b) u (c) l a Let o be 2/4 - (-9)/(-42). Let r be 160/(-12)*12/(-10). Let u = r - 13. What is the second biggest value in o, u, -0.4? o Let i = -27 + 13. Let a = -14.5 - i. Suppose -2*o + 2*t = t - 5, -5*t = -o + 16. What is the third smallest value in o, 2, a? 2 Let q = 0.972 + 0.028. Which is the third biggest value? (a) -0.5 (b) -0.3 (c) q (d) 4 b Suppose -18 = -v + 4*j, 15 = -7*v + 2*v - j. Let b be ((-10)/3 - v)/(-2). Let k = 2/403 + -64/403. What is the biggest value in k, -1/6, b? b Let d = -0.066 - 3.834. Let x = -0.4 - -0.3. Let l = d + x. What is the second biggest value in 2, l, -5? l Let z = 5.11 - 0.11. Let f = 3.2 + -0.2. Let r = f - z. What is the second smallest value in 0.3, -3, r? r Let h = -0.33 - -0.03. Let u = 481/8 - 60. Which is the third biggest value? (a) u (b) h (c) -1 c Let t = 11 - 14. Which is the third biggest value? (a) 3 (b) -2/3 (c) t c Let x(t) = -t**2 + 5*t - 1. Let g be x(3). Which is the second smallest value? (a) -2 (b) g (c) 4 c Let h = -0.02 + -0.78. Let w = h - 3.2. Let r be (4/6)/((-17)/(-3)). Which is the second biggest value? (a) w (b) r (c) 4 b Let k = 71/4 + -18. What is the third biggest value in 0.3, 15, k? k Suppose 8*r + 2*z = 3*r - 23, -r - 8 = -3*z. Which is the second biggest value? (a) -0.2 (b) -0.5 (c) r b Let b = 5.4 - -1.6. Let m = -3 + b. What is the smallest value in 4/5, m, 1? 4/5 Suppose -11 + 29 = -z. Let o = -14 - z. What is the third biggest value in 3, -5, o? -5 Let d = -107/3 + 431/12. Let r = -4 - -4.06. What is the biggest value in d, r, 2? 2 Suppose q = -3*q. Let r be 10/7 + -1 + q. Which is the smallest value? (a) r (b) -3 (c) -5 c Let d = 38 + -39. Let m = 0.09 - -4.91. What is the third smallest value in d, m, 1? m Let v be (24 + -25)/(1/1). Which is the second biggest value? (a) v (b) -0.5 (c) -0.1 b Suppose -4*y - 3 = u - 23, u - y = 0. Suppose -5*n = w + w + 31, -5*n - u*w - 37 = 0. Which is the third biggest value? (a) 2/3 (b) 2 (c) n c Let p = 0.04 + -0.04. Let f = -7 + p. Let n = 8 + f. What is the smallest value in n, 1/6, -4? -4 Let b = -268/7 - -38. Suppose 2 = 4*q - 10. Suppose q*u + 0 = 6, -2*c + 2*u - 6 = 0. What is the third smallest value in b, 1, c? 1 Suppose -15 = -4*n + 3*g + 24, 5*n - 55 = 5*g. Let o be (-5)/18 - (-2)/(-9). Which is the second smallest value? (a) o (b) 0 (c) n b Let w be 2/(-5)*10/(-8). Let c = 71/10 - 15/2. What is the biggest value in 2, c, w? 2 Let j = 1.9 + -2.2. What is the fourth smallest value in 0.1, -1, -3, j? 0.1 Suppose -4*m + r + 3*r = 32, 2*r + 32 = -2*m. Let v be m + (9/(-3) - -3). Let t be (-2)/v*-7 + 1. Which is the third biggest value? (a) 3 (b) t (c) 2/7 b Let h be (1 - (-9)/(-12))*(-8)/12. Which is the second smallest value? (a) -0.4 (b) 0.3 (c) h (d) -0.5 a Let d = 47/2 + -25. Suppose u - 42 = -2*u. Let h be (6/12)/(u/(-4)). Which is the biggest value? (a) d (b) 0.3 (c) h b Let t = -5 + 5. Let f = 1 + -1.02. Which is the third biggest value? (a) f (b) t (c) -5 c Let i = -1.3 - 3.7. Let p = -3.1 - -3. What is the second smallest value in i, p, 3? p Let h = -307/10 - -61/2. Which is the biggest value? (a) 5 (b) h (c
{ "pile_set_name": "DM Mathematics" }
-6*i + 15. Determine -2*d(w) - 11*r(w). w + 3 Let a(u) = 3*u + 3. Let c(r) = -4*r - 4. Let z(k) = 3*a(k) + 2*c(k). Suppose -31*x + 100 = -11*x. Let j(t) = -t - 2. Give x*z(h) + 3*j(h). 2*h - 1 Let v(k) = -k**3 + 7*k**2 + 5*k - 7. Let l be -7*((-2)/(-10) - 32/(-40)). Let i(p) = p**3 - 6*p**2 - 4*p + 6. Determine l*i(x) - 6*v(x). -x**3 - 2*x Let j(g) = 2*g**3 + 2*g**2 + 2*g + 2. Let c(a) = a. Let u be (18/12)/(3/4). Suppose u*k = -4*w - w - 5, -2*k = w + 1. Let n = -6 + 8. Calculate n*c(t) + w*j(t). -2*t**3 - 2*t**2 - 2 Suppose 0 = -0*s + s, -12 = 2*y - 3*s. Let t(l) = -l**2 - 1. Let v(h) = 3*h**2 + 4. Let w(n) = 1. Let p(i) = 3*v(i) - 6*w(i). What is y*t(f) - p(f)? -3*f**2 Let r(m) = 3*m + 1. Suppose 3 = -2*w + 3*w. Let b(l) = 2*l**2 + 2*l - 7. Let i be b(w). Let g(c) = 8*c + 3. Calculate i*r(u) - 6*g(u). 3*u - 1 Let h(d) be the first derivative of -4*d - 3 - 2*d**3 + 0*d**2 - 1/4*d**4. Let s be h(-6). Let m(k) = k**2. Let n(g) = -4*g**2. Give s*n(v) - 18*m(v). -2*v**2 Let d be (-2)/(-1)*(-3 - 0). Let t be (-4)/d + (-30)/(-9). Let p(k) = k**2 + 4. Let w(o) be the third derivative of -o**3/6 - 3*o**2. Determine t*w(s) + p(s). s**2 Let g(u) = 13*u**3 + u**2 + 2*u. Let p(c) = 12*c**3 + 2*c**2 + 3*c. Give -3*g(q) + 2*p(q). -15*q**3 + q**2 Let z(r) = r**2 + 1. Let u(x) = -3*x**2 - x + 4. What is -u(c) - 5*z(c)? -2*c**2 + c - 9 Let c(i) = 0*i**2 - 2*i**2 - 6*i + 3 + 6*i**2. Let u(z) = -3*z**2 + 7*z - 2. Let q(n) = -7*c(n) - 6*u(n). Let j(h) = -h**2 - 1. Give -18*j(f) + 2*q(f). -2*f**2 Let x(j) = -2*j**3 + j**2 - 4*j + 3. Let q(k) = -2*k**3 + k**2 - 5*k + 4. Suppose 5*z + 7*t - 2*t + 30 = 0, -4*t - 14 = 2*z. What is z*x(s) + 4*q(s)? 2*s**3 - s**2 + 1 Let g(w) = w**3 + w**2 - w + 1. Let k(u) = -5*u**3 - 3*u**2 + 5*u - 3. Determine 3*g(s) + k(s). -2*s**3 + 2*s Let x(f) = 8*f + 3. Let m(n) = -n - 1. Give -5*m(l) - x(l). -3*l + 2 Let r(v) = 5*v + 14. Let b = -34 + 45. Suppose l + 3*l = -f, l + 1 = 0. Let d(i) = -2*i - 5. Calculate b*d(y) + f*r(y). -2*y + 1 Let h(o) = o + 1. Let n(w) = 4*w**2 - 4. Determine -4*h(b) - n(b). -4*b**2 - 4*b Let t(d) = 40*d + 240. Let f(b) = -1. Determine -240*f(m) - t(m). -40*m Let h(a) = a + 1. Let w(o) = -o**3 + 2*o + 2. Let r be 3 - 2 - (2 - 3). Calculate r*h(j) - w(j). j**3 Let r(s) be the first derivative of -s**3/3 - s + 10. Let v(h) = 5*h**2 + 4. What is 4*r(g) + v(g)? g**2 Let q(k) = -7*k**3 + 14*k + 14. Let f(b) = -b - 1. Give 14*f(i) + q(i). -7*i**3 Let b be (-15)/60 + 18/8. Let f(h) = 4 - 4*h**b + 2 + 3*h - 8*h**3 - 5*h**2 - h. Let c(w) = -7*w**3 - 8*w**2 + 2*w + 5. Give 6*c(j) - 5*f(j). -2*j**3 - 3*j**2 + 2*j Let y(n) = n**2 - n - 1. Let p(v) = -12*v**2 + 8*v + 8. Give -p(d) - 8*y(d). 4*d**2 Let v(n) = -92*n**2 - 115*n - 115. Let j(u) = -u**2 - u - 1. Give 115*j(o) - v(o). -23*o**2 Let l(x) = -16*x**2 + 14*x + 14. Let v(t) = t**2 - 8. Let b be v(-6). Let r(w) = -w**2 + w + 1. Give b*r(h) - 2*l(h). 4*h**2 Let n(f) = 14*f + 1. Let i(z) = 29*z + 2. Calculate -4*i(h) + 9*n(h). 10*h + 1 Suppose -54*q = -57*q + 3. Let k(u) = u**2 - u - 1. Let w(d) = 11*d + 2. Let g(j) = 5*j + 1. Let z(h) = -9*g(h) + 4*w(h). Calculate q*z(o) + k(o). o**2 - 2*o - 2 Suppose 4*y = -27 - 1. Let t = 13 + y. Let b(h) = 9*h**2 + 2*h - 5. Let u(s) = 8*s**2 + 2*s - 4. Calculate t*b(l) - 7*u(l). -2*l**2 - 2*l - 2 Let g be ((-5)/(-2))/(4/8). Let w(l) = 3*l**3 + l**2 - 4*l. Let q(c) = 2*c**3 + c**2 - 2*c. Calculate g*q(i) - 3*w(i). i**3 + 2*i**2 + 2*i Let o(j) = j**2 + j. Let b(f) = -6*f**2 - 3*f. Let z = -11 - -10. What is z*b(q) - 3*o(q)? 3*q**2 Let h be (-4)/18 + 582/(-162)*3. Let s(x) = 7*x**3 - 11*x**2 - 11. Let p(i) = 4*i**3 - 6*i**2 - 6. Determine h*p(a) + 6*s(a). -2*a**3 Let u(t) = 3*t - 1. Let a(q) = -q**2 + q. Calculate 4*a(w) - u(w). -4*w**2 + w + 1 Let a(q) be the third derivative of 0*q - 1/8*q**4 + 3*q**2 + 0 - 1/6*q**3 + 1/30*q**5. Let z(t) = 6*t**2 - 10*t - 4. Give -7*a(n) + 2*z(n). -2*n**2 + n - 1 Let y(a) = -a**2 + a + 1. Let f(s) = 7*s**2 - 4*s - 8. Give f(d) + 5*y(d). 2*d**2 + d - 3 Let r(d) = 5*d - d**3 + 4*d**3 - d. Let f be (-76)/12 + (-3)/(-9). Let x(w) = -4*w**3 - 5*w. Calculate f*r(a) - 5*x(a). 2*a**3 + a Let x(g) = g**3 + g**2. Let a(z) = -5*z**3 - 3*z**2 - 1. Suppose -3*u + 1 = b + u, -4 = -4*b - u. Determine b*a(c) + 3*x(c). -2*c**3 - 1 Let p(d) = -8*d**2 - 17*d. Let w(k) be the first derivative of -k**3/3 - k**2 - 13. Give -6*p(q) + 51*w(q). -3*q**2 Let u(y) be the third derivative of y**4/6 + y**3 + 3*y**2. Let c(j) = 6 + 7*j - 3 + 8. Calculate -6*c(w) + 11*u(w). 2*w Let x(j) = -5*j + 7. Let r(k) = -5*k + 7. Let b(u) = -3*r(u) + 2*x(u). Let z(y) = -2*y + 3. Determine 4*b(s) + 9*z(s). 2*s - 1 Let h(a) = 420*a**3 - 44*a**2 + 44*a. Let r(i) = -28*i**3 + 3*i**2 - 3*i. Calculate 6*h(p) + 88*r(p). 56*p**3 Let f(n) = -122*n. Let y(h) = 49*h. What is 5*f(q) + 12*y(q)? -22*q Let g(r) = -r**2 - r - 1. Let w(k) = -6*k**2 - 3*k - 3. Let n(p) = p**3 - 11*p**2 + 9*p + 11. Let s be n(10). Give s*w(d) - 4*g(d). -2*d**2 + d + 1 Let y(j) = -j**2 + j + 1. Let r(m) = -7*m**2 + 6*m + 3. Calculate r(i) - 4*y(i). -3*i**2 + 2*i - 1 Let d(s) = -2. Let l(j) = j. What is d(u) - 2*l(u)? -2*u - 2 Let j(k) = k**3 + 3*k**2 - 1. Let v(b) = -b**3 - b**2 - b + 1. What is -j(i) - 3*v(i)? 2*i**3 + 3*i - 2 Let h(q) = -q - 5. Let d(g) = -2*g - 10. Give -6*d(p) + 11*h(p). p + 5 Let m(v) = 4*v**2. Let r(g) = 7*g**2 - 4*g. Let s(a) = -21*a**2 + 11*a. Let p(l) = 11*r(l) + 4*s(l). Let b = -7 + 2. Give b*m(y) - 3*p(y). y**2 Let c be (-2)/1*2/4. Suppose -8*d = -10*d + 2. Let z(t) = t**2 + t. Let k(y) = -2 + 0*y**2 + 2*y**2 + 2*y - 2 + 2. Give c*k(g) + d*z(g). -g**2 - g + 2 Let z(v) be the first derivative of -v**3/3 + v**2/2 - v - 1. Let y(h) = -h**3 + 5*h**2 - 5*h + 5. Let b(u) = u - 1. Let w be b(-4). What is w*z(d) - y(d)? d**3 Let z(g) = 10*g + 1. Let h(d) = -11*d - 2. Calculate -3*h(f) - 4*z(f). -7*f + 2 Suppose 2*u + 2 = -6. Let p(a) = -3*a**2 + a - 4. Let s(d) be the third derivative of -d**5/15 + d**4/24 - 5*d**3/6 - 3*d**2. Calculate u*s(x) + 5*p(x). x**2 + x Let y(i) be the first derivative of -2*i**3 + 5*i + 27. Let r(w) = 7*w**2 - 6. Calculate 5*r(g) + 6*y(g). -g**2 Let x(v) = 2*v**2 + 2*v + 5. Let y(t) = 10*t**2 + 10*t + 26. Calculate 11*x(d) - 2*y(d). 2*d**2 + 2*d + 3 Let g(l) = -2*l**3 - 7*l**2 - 11*l - 6. Let k(p) = -2*p**3 - 8*p**2 - 12*p - 7. Give -5*g(x) + 4*k(x). 2*x**3 + 3*x**2 + 7*x + 2 Let v(r) = r**2 + 2*r. Let h(c) = -3*c**2 - 7*c. Let q be (-5)/(-1)*(2 - 3). Let x be (-16)/2 + q + 6. Give x*v(i) - 2*h(i). -i**2 Let j = 72 - 68. Let i = 9 + -4. Let b(h) = -6*h**3 - 4*h**2. Let l(s) = 7*s**3 + 5*s**2. Give i*b(k) + j*l(k). -2*k**3 Let r = -18 - -25. Suppose -3*h = -5*d - 7, 0 = -5*h - 5*d + 3*d + 22. Let o(l) = -3*l - 4. Let n(w) = 2 + 28*w - 11*w - 15*w. Calculate h*o(v) + r*n(v). 2*v - 2 Let g(a) = 3*a. Let t = 13 + 2. Let f(l) = -30*l - 15 + t. What is -2*f(j) - 21*g(j)? -3*j Let o(u) = 3*u - 200. Let s(v) = v - 67. Give -6*o(d) + 17*s(d). -d + 61 Let g(t) be the second derivative of t**3 - 7*t**2/2 - 5*t. Let d(y) be the second derivative of -y**3/6 + y**2/2 + y. Calculate 5*d(u) + g(u). u - 2 Let v(g) be the first derivative of -g**2/2 + 5*g + 36. Let m(l) = -2*l + 11. Give 3*m(h) - 7*v(h). h - 2 Let u(o) = -o**2. Let s(w) = -w**3 + 22*w**2. Determine -s(y) + u(y). y**3 - 23*y**2 Let k(o) = -2*o - 1. Let w(h) = -126*h - 14. Determine 14*k(y) - w(y). 98*y Suppose -4*v + 19 = -1. Let l(u) = -3*u**3 - 5*u**2 - 5*u - 6. Let z(m) = 4*m**3 + 7*m**2 + 7*m + 9. Calculate v*z(k) + 7*l(k). -k**3 + 3 Let f(l) = 9*l - 7. Let k(h) be the first derivative of -5*h**2/2 + 4*h - 72. Let d be ((-14)/6)/(2/(-6)). What is d*k(y) + 4*f(y)? y Suppose 0*k + k - p = 0, 5*k + 4*p = 9. Let r(c) = -c + 1. Suppose -2*w - 3*u = -3*w - 4, 5*w - u - 8 = 0. Let b(t) = 2*t - 7 + w*t + 2*t. Give k*b(x) + 5*r(x). x - 2 Let n(o) = 4*o**2 - 10*o. Let k(g) = -7*g**2 + 3*g - 6. Let c(h) = 8*h**2 - 3*h + 7. Let u(j) = -6*c(j) - 7*k(j). Determine 4*n(r) - 14*u(r). 2*r**2 + 2*r Let u(o) = 3*o**3 + 5*o**2 + 5*o - 5. Let w = -10 + 15. Suppose 10*h - w*h - 10 = 0. Let t(k) = 10 - 2*k**2 - 4*k - 8 + 2*k - k**3. Give h*u(r) + 5*t(r). r**3 Let c(l) = -5*l**3 + 8*l - 8. Let o(t) = -3*t**3 + 5*t - 5. Let x = 18 + -29. Let j = x + 8. Let a(s) = -3*s - 4. Let w be a(j). Determine w
{ "pile_set_name": "DM Mathematics" }
+ 4? -1 14 + -4 + -4 + -5 1 What is -9 + -2 + -114 + 122? -3 -3 + (4 - -2 - (4 + -4)) 3 Calculate (14 - (4 - -7)) + (0 - 6). -3 What is the value of 7 + (8 - 9) - 0? 6 What is -1 + (1 + 1 - 6 - 0)? -5 Calculate -8 + (7 - 2) - -3 - -6. 6 What is the value of 14 - 7 - -1 - 4? 4 What is 4 - (-5 - -5) - 1? 3 Evaluate -3 - (3 + -5 - (-1 + 2)). 0 What is the value of 0 + -6 - 0 - -8? 2 Evaluate -1 + (-1 + (-4 - -6) - 0). 0 What is -2 + 10 + (-18 - -17)? 7 Evaluate (1 - 2 - (-3 - -8)) + 1. -5 7 + (-12 - 0) + (15 - 3) 7 What is the value of -4 - ((1 - -10) + -21)? 6 0 - (-2 + 1) - (-3 + 8) -4 (-24 - -31 - (4 + 1)) + 4 6 What is (1 + 5 - -2) + -4? 4 4 + (-4 - -8 - 4) 4 What is the value of -4 - -2 - (1 - (-5 - -5))? -3 What is -5 - (3 - (6 + -2))? -4 Evaluate -10 - 0 - (-3 - -2). -9 What is the value of (-4 - -3 - -1) + 1? 1 -12 + (11 - -11 - 12) -2 What is the value of 2 - (1 + 0 + -1)? 2 Evaluate 4 - ((-1 - 5) + 4). 6 (0 - 1) + -9 + 5 + 4 -1 Calculate -24 + 31 + -4 + (1 - 1). 3 Evaluate 0 + (6 - 2 - 8). -4 -2 - 11 - (-186 + 176) -3 What is the value of (-6 - -2) + (2 - -5) + 5? 8 What is 9 + -2 + (-43 - -37)? 1 What is the value of -6 + 1 + 28 + -25? -2 Calculate 6 + 0 + -1 + -11 - -3. -3 What is the value of (0 - -5) + 9 + -10? 4 What is (-7 - -1) + (29 - 19)? 4 Calculate 1 - -3 - (17 + -6 + -5). -2 Evaluate -14 - (4 + -3 - (-1 - -7)). -9 What is the value of 9 + (-3 - ((-9 - -4) + 6))? 5 What is the value of (1 - -3) + (1 - 0)? 5 -7 + 3 + -9 - -19 6 Calculate 0 + (7 - -5 - (-3 + 9)). 6 -2 - -8 - (15 + -9) 0 What is 15 + 0 + (-12 - 2)? 1 Calculate -1 + (10 - -1) - 8. 2 What is the value of 9 + -2 + -2 + -1 + -2? 2 What is -10 + 10 + -11 + 4? -7 Calculate -2 - -6 - 3 - (1 - 5). 5 What is (-4 - (8 + -4)) + 2? -6 What is 0 - 1 - (-8 - -10) - -6? 3 What is the value of (-5 - (6 + -19)) + -15? -7 What is -1 + -1 + (21 - 15)? 4 Evaluate 3 - (1 - (1 + 1 + -9)). -5 What is the value of -9 - (-19 - (-22 - -11))? -1 -3 - (-5 + (-8 - -12)) -2 What is (-4 - -2) + 2 - -1? 1 What is 5 + -6 + 10 - 13? -4 What is the value of -3 + 0 - (-3 + -1)? 1 What is -6 - (1 + (2 - 3))? -6 Calculate -3 + 1 - (13 + -7 - 13). 5 What is (1 - 0) + -12 + 16? 5 Calculate -54 - -62 - (-1 - -5). 4 Evaluate (-1 - -1) + -8 + 48 + -45. -5 What is 0 + 5 + -3 + -1? 1 What is the value of -9 - -3 - (2 - 4)? -4 Evaluate -3 + -2 - (9 + -3 + -15). 4 Calculate -12 + 0 - (4 - (13 + -2)). -5 What is -4 - (1 - (6 + -2) - 2)? 1 Calculate 35 - 28 - (6 + 1). 0 Evaluate (-57 - -48) + -1 + 9. -1 Calculate 0 - 2 - (-7 + 1) - -2. 6 Calculate 7 - ((-3 - -5) + 0). 5 -6 + 3 + 5 - (1 + -2) 3 What is (42 - 45) + -3 + 2? -4 Calculate 4 + (-27 - -24) + 0 + -1. 0 What is the value of 11 + (-11 - -6 - 4)? 2 What is (-7 - (2 + -4)) + 1? -4 1 + -3 + 6 + -7 -3 Evaluate (5 - (-1 + 5)) + 4. 5 What is 6 - 18 - -9 - -1? -2 What is the value of -4 - -5 - (-5 + 6 + -4)? 4 Calculate 1 - 7 - (2 - 5) - 0. -3 1 + (1 - 1) + 4 5 (-7 - -2) + -1 + 5 -1 Calculate (1 - (-3 - 1) - 1) + -1. 3 What is -2 + (-1 - -4) + -8? -7 (-1 - 6) + -19 + 23 -3 What is 2 - (2 + 4 + -11 + 5)? 2 Calculate 1 + (3 + 4 - 2 - 2). 4 (6 - 2) + (2 - 4) 2 What is the value of -3 - (-3 + 6 + -3)? -3 What is the value of -4 - (-2 + 0 + -4) - 4? -2 2 - (5 + (5 - 9)) - 5 -4 What is the value of -3 + 3 + -1 + -3? -4 Evaluate -3 + 0 + 1 + 8 + -6. 0 (5 - 6) + 5 + -3 + -1 0 What is 3 + (-4 - (-9 + 2)) - 5? 1 Calculate 9 - 11 - (0 - -2) - -9. 5 Calculate -2 + -2 + (9 - (2 - 3)). 6 What is the value of (0 - -2) + (-7 - 0)? -5 What is -1 + 1 - (11 + -27 - -9)? 7 Calculate 9 - (12 - 0) - (-6 - -1). 2 7 + -2 - (9 + -2 + -2) 0 Calculate (-1 - (-4 - -10)) + 9. 2 (-6 - (0 + 1)) + 5 -2 Calculate 4 + (0 + 3 - 6) - 2. -1 Calculate 7 + 1 + -2 + 0. 6 Evaluate (-2 - -11 - (14 + -19)) + -7. 7 What is the value of 3 - (3 + -7 - -4 - -4)? -1 Evaluate (1 - (-5 + 10)) + 13. 9 Calculate -4 + 1 + -1 + -1. -5 What is the value of 4 + (3 - 9) + 2? 0 What is the value of (3 - -1) + (1 - 2)? 3 Evaluate 4 - (5 + -4) - 8 - -6. 1 Evaluate (-1 - (1 + -4)) + -1 + -1. 0 What is 2 - (10 - (-3 - -5))? -6 What is -3 - 3 - (7 - 15)? 2 What is 3 - (-11 + 1 + 20)? -7 What is the value of -11 + 7 + 5 + 1 - -1? 3 What is the value of (1 - (0 - 4)) + 1 + -3? 3 What is the value of -4 + 5 + 3 + -6? -2 What is (-1 - -3) + (-6 - -13 - 5)? 4 (-5 - 4) + 3 + 1 -5 (-3 - (-4 - -3)) + 4 2 11 + -6 - ((2 - 1) + -1) 5 What is the value of -1 + 0 + 1 + 2 - -3? 5 -2 - (-8 + 7) - (-2 - -3) -2 Calculate -9 + 16 - 9 - (1 - 5). 2 What is the value of -2 - (4 + (-7 - (-3 - -6)))? 4 Calculate 2 + -1 + -1 + (-8 - -13). 5 Calculate 3 - (1 + -4 - -10). -4 (-4 - -10) + -16 + 9 -1 What is the value of -2 - (0 + 3) - -5? 0 What is -9 + 4 + 1 - 2 - -5? -1 -3 + (-2 + 1 - 0 - -2) -2 -8 + -2 + -62 + 68 -4 -10 - (-12 + 12 + -4) -6 Evaluate -2 - 0 - 5 - -4. -3 Evaluate -9 + 11 + -11 + 4. -5 Evaluate 1 + (10 - 12 - 6). -7 What is 6 + -6 + (-3 - -4) + -3? -2 Evaluate -8 + (4 - 0) + 2 + 7. 5 What is 3 - (0 - (-6 - -6))? 3 Evaluate 3 - -1 - (11 + -8). 1 Evaluate (0 - (1 + -4)) + -1. 2 Calculate 8 - (12 + -19 - (2 - 24)). -7 Evaluate 6 + 6 - 8 - (1 + -1). 4 What is 1 + 1 + (-6 + 3 - -5)? 4 -4 - (-3 - (4 - 4)) -1 Evaluate 8 + -2 + -2 + 0 + -6. -2 1 - (4 + -2) - 0 -1 What is -6 + (0 - -2) + 7 + -5? -2 What is the value of -5 + -1 + (0 - -3)? -3 (1 - -4) + 0 + -1 + -6 -2 Evaluate -19 + 15 + (-1 - -2). -3 Evaluate -3 + (-4 - -1 - (-31 + 26)). -1 (-6 - (-17 - -7)) + 3 + -7 0 What is -17 + 10 + (3 - -7)? 3 Calculate 4 + -1 + 5 + -7 + 2. 3 Calculate -3 + 0 + 2 + 3. 2 Evaluate 6 - (-4 + 1 + 13). -4 Calculate -3 + 1 + (-3 - -3) + 2. 0 What is the value of 27 + -28 + 9 + -3? 5 What is -5 + -3 + 14 + -6 - 4? -4 Evaluate -4 + 8 - (0 - (3 + -2)). 5 Evaluate (5 - 3) + -6 + 4 + 4. 4 What is 9 - 4 - (-21 + 29)? -3 Evaluate 1 + 3 + (2 - 6) + 1. 1 What is 10 + (-4 - 6) + -3? -3 (5 - (6 + 2)) + 5 2 What is the value of 2 + (-12 - (-4 + 1 + -3))? -4 What is the value of (-2 - -7) + -2 + 11 + -9? 5 Evaluate (146 - 146) + -1 + (0 - -8). 7 Evaluate 3 + -1 + 10 + -9. 3 Evaluate -1 - (14 - (12 + -5)). -8 (1 - (-16 + 16)) + (-1 - 4) -4 What is -3 - (-8 + -3 - -16)? -8 Evaluate -4 - (2 + -11 + -4) - 4. 5 Evaluate 3 - (22 + -1 + -10). -8 What is -3 + 2 + (-2 - -1) + -1? -3 What is (-20 - -7 - 2) + 9? -6 What is (-3 - -7) + -7 + 6 + 0? 3 Calculate 9 + (-12 - -3) + 0. 0 Calculate 4 - (-3 - -1 - -3). 3 Calculate (-37 - -38) + (0 - -11) + -3. 9 What is -10 - -14 - ((0 - 2) + 1)? 5 Calculate 1 + 3 + 0 + -26 + 29. 7 Calculate 1 + -3 + (0 - (2 + -2)). -2 12 + -19 - (5 + -7) -5 Evaluate (-17 - (7 - 10)) + 7. -7 What is 1 + -1 + 8 + -1 + -4? 3 Calculate -1 + ((5 - 3) + -4 - 5). -8 Evaluate -7 - (2 - (-7 + 11)). -5 6 - (2 - -4 - -1) -1 Evaluate (10 - 6) + 2 - 8. -2 What is -1 + -1 - (7 - (2 - -7))? 0 What is the value of -3 + (2 - -10) + 3 + -7? 5 Calculate 4 + (-2 - -1 - (-3 + 3)). 3 1 + -5 + 4 - (-8 + 5) 3 Evaluate 1 + -14 + 1 + 5. -7 Evaluate 0 - -1 - 1 - (134 + -133). -1 0 + 3 + 0 + (-10 - -5) -2 What is the value of -2 + 3 - (-1 + (3 - 7))? 6 Calculate (6 - (-2 + 0 - -4)) + -1. 3 What is -3 + 3 + 3 + 1? 4 What is 7 + -1 + (-5 - 4)? -3 Evaluate 2 + 4 - (-7 + (9 - 3)). 7 Evaluate -14 + 0 + 5 + 1 + 15. 7 What is the value of 0 + -1 + (0 - -2) + -1? 0 What is the value of (7 + -4 - 7) + 1 + -2? -5 3 + -16 + 6 + 5 - 6 -8 What is -20 - -17 - -5 - (2 - -1)? -1 What is 7 + -1 + (11 - 19)? -2 What is the value of -7 + 2 - (3 - 3)? -5 What is 2 + (-6 - 1 - (21 + -26))? 0 What is the value of -12 + 1 + 21 - 2? 8 What is -9 + -1 + 3 - -4? -3 What is the value of 3 + (4 - (1 - 1)) + -6? 1 Calculate 6 + -6 + (6 - -1) - 2. 5 What is -4 + (4 - (-4 - -6))? -2 What is (35 - 28) + (-8 - -1 - 0)? 0 What is the value of (2 - 0) + -1 - 2? -1 Evaluate -2 + 1 + (5 - 5 - -6). 5 What is 11 + 1 + -1 - (-169 + 173)? 7 What is the value of (4 - (13 - 7 - -1)) + 7? 4 What is -36 + 35 - (-6 + 1)? 4 1 - 6 - (-2 + 7 - 8) -2 Calculate -6 + -1 - -8 - (-3 + 0). 4 What is 13 + -11 + -7 + 2? -3 Calculate -2 + 7 + (-1 - 2) + 2. 4 What is -1 + -5 + 6 + -1? -1 11 + -9 - (-1 - -1) 2 What is 0 + 13 + -17 + 4? 0 Evaluate 22 + -17 + -10 + 0. -5 Calculate 8 + -10 + (5 - 5). -2 -4 - 0 - (9 + -15) 2 92 + -96 - (0 + -7 + 0) 3 2 + 3 - (-8 + 8 + 2) 3 What is the value of 75 - 78 - ((1 - 1) + -3)? 0 Evaluate -1 + -1 +
{ "pile_set_name": "DM Mathematics" }
rt -615, 6, -5 in ascending order. -615, -5, 6 Sort 4, 0, -1.83 in ascending order. -1.83, 0, 4 Put 0, 1, 1/4, 0.4 in increasing order. 0, 1/4, 0.4, 1 Sort -73, -2, -5 in increasing order. -73, -5, -2 Sort 65, 5, -3.4, 0.1 in ascending order. -3.4, 0.1, 5, 65 Sort 2/7, 0.4, 0, 3286, -3/4 in ascending order. -3/4, 0, 2/7, 0.4, 3286 Put -5, 0, -81 in decreasing order. 0, -5, -81 Sort 8, 1, 4 in descending order. 8, 4, 1 Sort -4, 3, -0.17 in descending order. 3, -0.17, -4 Sort 2/67, 0.4, -3/7 in decreasing order. 0.4, 2/67, -3/7 Put 4, -2, 1, 2, -52 in decreasing order. 4, 2, 1, -2, -52 Sort -3, 5, -2, 4, -1 in ascending order. -3, -2, -1, 4, 5 Sort 2/9, -1/6, 60 in decreasing order. 60, 2/9, -1/6 Sort -3, 4, 2, -2 in descending order. 4, 2, -2, -3 Put -1, -24, 17 in descending order. 17, -1, -24 Sort 5, -55, 2 in descending order. 5, 2, -55 Sort 0, -1, -2, 323, -4 in descending order. 323, 0, -1, -2, -4 Sort 19, 4, -3 in descending order. 19, 4, -3 Sort 24, -3, 3. -3, 3, 24 Sort 2, 5, -4/5 in decreasing order. 5, 2, -4/5 Put -10, -0.31, 0.04, -0.3 in increasing order. -10, -0.31, -0.3, 0.04 Put 16, -0.3, -2/15 in descending order. 16, -2/15, -0.3 Put 3, -3, 4.68, -2 in descending order. 4.68, 3, -2, -3 Sort 89, 2, -2, -1 in descending order. 89, 2, -1, -2 Sort 5, -3, -22, -4. -22, -4, -3, 5 Sort -2/15, -0.1, 2/9, 6 in increasing order. -2/15, -0.1, 2/9, 6 Put -7, 1, 406 in decreasing order. 406, 1, -7 Put -3, -0.77, 0 in increasing order. -3, -0.77, 0 Put -3, -28, 33, 0, 2 in decreasing order. 33, 2, 0, -3, -28 Sort 1, 8, 2, 6 in decreasing order. 8, 6, 2, 1 Sort 4, -1, 2, -68 in decreasing order. 4, 2, -1, -68 Sort 0, 23, 3, 5 in ascending order. 0, 3, 5, 23 Sort 12, -0.04, -99. -99, -0.04, 12 Put 0, 32, -2, 1 in increasing order. -2, 0, 1, 32 Put -267, 5, -7, 1, -1 in descending order. 5, 1, -1, -7, -267 Put -4, 3, -2, 1, 5 in increasing order. -4, -2, 1, 3, 5 Sort -0.4, 5, -62, -5, 4. -62, -5, -0.4, 4, 5 Put -3, 0.4, 3/4, 0.1 in increasing order. -3, 0.1, 0.4, 3/4 Put 99, 10, 5, -4 in increasing order. -4, 5, 10, 99 Put 12710, -1, 4 in decreasing order. 12710, 4, -1 Put -3, -1, -0.5, 5, -8 in increasing order. -8, -3, -1, -0.5, 5 Put 69, -3, 1/6 in decreasing order. 69, 1/6, -3 Sort 118, -1, 4. -1, 4, 118 Sort -2, -5, 85, 0, -1 in decreasing order. 85, 0, -1, -2, -5 Put -3, 0.7, 0.08, 0 in descending order. 0.7, 0.08, 0, -3 Sort -3, 334, 3 in increasing order. -3, 3, 334 Sort 6, 2, -3/4, 3. -3/4, 2, 3, 6 Put -85, -0.5, -0.18 in descending order. -0.18, -0.5, -85 Sort -11, -2, 3 in descending order. 3, -2, -11 Put 99/4, -3/7, -13 in descending order. 99/4, -3/7, -13 Put 0, 18, 6, -2 in decreasing order. 18, 6, 0, -2 Sort 0.1, -5, 0.3, 0.5, -14 in decreasing order. 0.5, 0.3, 0.1, -5, -14 Sort 1, -111, 3. -111, 1, 3 Put 694, 3, -4 in ascending order. -4, 3, 694 Sort 3, -4, -2, -0.95 in increasing order. -4, -2, -0.95, 3 Put -6, -4, 2, -31 in increasing order. -31, -6, -4, 2 Sort -5, 3, -18, -3, 19. -18, -5, -3, 3, 19 Sort 20, -1, 5, 4. -1, 4, 5, 20 Sort -9, -5, 17, 3, 2 in decreasing order. 17, 3, 2, -5, -9 Sort -15, 10, 3/7 in ascending order. -15, 3/7, 10 Put 8, -5, -6, 2 in descending order. 8, 2, -5, -6 Sort -2/19, -0.21, 4, 1/54, 0.2 in decreasing order. 4, 0.2, 1/54, -2/19, -0.21 Sort -2, 4, -4, 9 in ascending order. -4, -2, 4, 9 Sort -2, 9, -167 in ascending order. -167, -2, 9 Put -5, 3, -2917 in decreasing order. 3, -5, -2917 Sort -14, 26, 4, 0.3 in descending order. 26, 4, 0.3, -14 Sort 0.06, 0, 0.3, 1/4. 0, 0.06, 1/4, 0.3 Sort -1, -4, -199 in descending order. -1, -4, -199 Put 1761, -1, 0 in increasing order. -1, 0, 1761 Sort 73, 3, 18 in ascending order. 3, 18, 73 Put 1, -6, 8 in increasing order. -6, 1, 8 Sort 4, 24, 7, 17 in increasing order. 4, 7, 17, 24 Sort 120, -5, 5 in increasing order. -5, 5, 120 Sort 7, 94, -4, -5, 5. -5, -4, 5, 7, 94 Put -18, 0, -1/6 in descending order. 0, -1/6, -18 Sort -33, -3, -4. -33, -4, -3 Sort -25, 64, -5, 0. -25, -5, 0, 64 Put 5, 0, -2, 3 in increasing order. -2, 0, 3, 5 Sort 9, 51, 4, -3, 3 in ascending order. -3, 3, 4, 9, 51 Sort 1, 3, -1269, -5 in descending order. 3, 1, -5, -1269 Sort -235, 1/5, -5 in ascending order. -235, -5, 1/5 Sort 6, 23, -2 in descending order. 23, 6, -2 Put 2, 11, -0.046 in increasing order. -0.046, 2, 11 Put 4, -15, -4 in descending order. 4, -4, -15 Put -0.08, -0.3, -5, 5 in descending order. 5, -0.08, -0.3, -5 Sort -193, -0.3, 2/5 in descending order. 2/5, -0.3, -193 Put -0.856, -0.1, 0 in descending order. 0, -0.1, -0.856 Put -11, -4, -5 in decreasing order. -4, -5, -11 Put -204, 0, -2 in increasing order. -204, -2, 0 Put -2, 5, -29, -3 in decreasing order. 5, -2, -3, -29 Put 4, -1, 0, -31 in descending order. 4, 0, -1, -31 Sort 5, 6, -3, -5 in ascending order. -5, -3, 5, 6 Put -4, 3, 5 in increasing order. -4, 3, 5 Put -1, 3, -28, -9 in ascending order. -28, -9, -1, 3 Sort 3/89, 0.2, 0.5, -1/4, 0.07 in decreasing order. 0.5, 0.2, 0.07, 3/89, -1/4 Sort 2, -5, 749, -1 in descending order. 749, 2, -1, -5 Sort 3, -12, 62. -12, 3, 62 Put -4, -5, 1 in increasing order. -5, -4, 1 Sort 9/5, -0.3, 2/25 in ascending order. -0.3, 2/25, 9/5 Sort -5, 2, 5, -3 in decreasing order. 5, 2, -3, -5 Put 3, 86, -2, -5 in decreasing order. 86, 3, -2, -5 Sort -27, 1, 8 in decreasing order. 8, 1, -27 Sort -1, 20, 4, -2. -2, -1, 4, 20 Put 2, 160, -3 in increasing order. -3, 2, 160 Put -1, 1, 17 in descending order. 17, 1, -1 Put 35, -49, 5 in descending order. 35, 5, -49 Sort 1/5, -0.06, -3/2, -4 in descending order. 1/5, -0.06, -3/2, -4 Sort 0, -12, -4, 1 in descending order. 1, 0, -4, -12 Sort 3, -16, -2 in decreasing order. 3, -2, -16 Sort 2/33, 11, 4 in decreasing order. 11, 4, 2/33 Sort 3/2, -2/5, -0.5, 4, -68/5 in descending order. 4, 3/2, -2/5, -0.5, -68/5 Sort -5, 89, 2 in descending order. 89, 2, -5 Sort 110, -5, 39. -5, 39, 110 Sort 12, 5, 192 in descending order. 192, 12, 5 Put -1/2, 0, 8, -0.4 in increasing order. -1/2, -0.4, 0, 8 Sort 0, 5, -3, 14, 3 in ascending order. -3, 0, 3, 5, 14 Sort 33, 1/6, 4, 2/9. 1/6, 2/9, 4, 33 Sort 16, -4, 3, 0.4 in ascending order. -4, 0.4, 3, 16 Put 4, -0.46, -29 in ascending order. -29, -0.46, 4 Sort -3, 2, 1, -4 in decreasing order. 2, 1, -3, -4 Put -4, -12, 0, 3 in ascending order. -12, -4, 0, 3 Sort -0.16, 3, 0.3 in increasing order. -0.16, 0.3, 3 Sort 0, -33, 3, -1, 4 in decreasing order. 4, 3, 0, -1, -33 Put -3.3, -0.5, -2 in ascending order. -3.3, -2, -0.5 Put -18/41, 2, 3 in increasing order. -18/41, 2, 3 Put 4, -64, -2 in descending order. 4, -2, -64 Sort -2, 21, 0, -55, 5. -55, -2, 0, 5, 21 Put 5, -1, 31, -5 in ascending order. -5, -1, 5, 31 Sort 1/3, -3, 22, -3/8 in ascending order. -3, -3/8, 1/3, 22 Put -0.3, 5/3, -5, -90.7 in increasing order. -90.7, -5, -0.3, 5/3 Sort -3, -4, 67, -1, -5 in descending order. 67, -1, -3, -4, -5 Sort 0.2, -0.5, -22 in descending order. 0.2, -0.5, -22 Sort -1, -4, -0.4, 1/5. -4, -1, -0.4, 1/5 Put 2/3, 15/2, -0.5, -3, 0.01 in descending order. 15/2, 2/3, 0.01, -0.5, -3 Put 12, -2/3, 19, -1 in ascending order. -1, -2/3, 12, 19 Sort -12, -2, 24. -12, -2, 24 Put 0, 1, -82, 5, 4 in ascending order. -82, 0, 1, 4, 5 Put -5, 0.1, 0.11 in ascending order. -5, 0.1, 0.11 Put 0.7, -0.15, -5 in ascending order. -5, -0.15, 0.7 Put 26, 5, -1, 0 in decreasing order. 26, 5, 0, -1 Put 4, -0.5, -2, 0.2 in ascending order. -2, -0.5, 0.2, 4 Sort -1, -7, 5 in decreasing order. 5, -1, -7 Put 3, -8, -10, -16, 4 in increasing order. -16, -10, -8, 3, 4 Put -2/35, -7, -11 in descending order. -2/35, -7, -11 Sort 0, 214, -5, -4 in decreasing order. 214, 0, -4, -5 Sort 4, -1, 3, 0, -7 in descending order. 4, 3, 0, -1, -7 Sort -19, -1, -5, 18, -3. -19, -5, -3, -1, 18 Sort 0.5, -1, -22 in decreasing order. 0.5, -1, -22 Sort -3/8, -2/51, -0.6 in decreasing order. -2/51, -3/8, -0.6 Put 0, 13, 1, -1 in ascending order. -1, 0, 1, 13 Sort 140, -1, 5, 0, 1. -1, 0, 1, 5, 140 Put -2/15, -7, -3, 0.5 in descending order. 0.5, -2/15, -3, -7 Put 3, 35, -3, -2 in decreasing order. 35, 3, -2, -3 Put -3, -20, 0.5 in decreasing order. 0.5, -3, -20 Put 5, -4, -30 in descending order. 5, -4, -30 Put 1, 0, 53, 2 in descending order. 53, 2, 1, 0 Sort -2, 1717, 5 in increasing order. -2, 5, 1717 Sort -2, -5/46, -0.06. -2, -5/46, -0.06 Put -0.5, -0.4,
{ "pile_set_name": "DM Mathematics" }
n divisor of v and 7. 7 Suppose -5*l - 3*m + 12 = 0, -5*m + 10*m - 20 = 5*l. Suppose 3*k = -5*y + k + 219, y - 2*k - 39 = l. Calculate the greatest common factor of 473 and y. 43 Suppose -9*j = -51*j + 1008. Calculate the greatest common divisor of 1182 and j. 6 Let u = 21 + 6. Suppose 5*j - 2*j - u = 0. Suppose 4*m - j - 35 = 0. What is the greatest common divisor of 22 and m? 11 Let f = 684 - 681. Suppose 5*y = -l - 15 + 38, 5*y + 49 = f*l. Calculate the greatest common divisor of 8 and l. 2 Let m = 232 - 222. Suppose 0 = m*s - 177 - 103. What is the greatest common factor of s and 63? 7 Let k(a) = 170*a**3 - 6*a**2 + 31*a - 38. Let s be k(2). What is the highest common factor of s and 32? 16 Suppose p = 2*p - 7. Suppose p*j - 90 = 2*j. Let z be -3*(-1412)/60 + (-42)/(-30). Calculate the highest common factor of z and j. 18 Let v be 10122/(-16) - (-7)/56*-3. Let l = -249 - v. Calculate the highest common factor of 16 and l. 16 Let n(w) = 3 - 8 + 2 - w**3 - 5*w + 8*w**2 - 6. Let a be n(7). Suppose -a*x = -26 - 69. What is the greatest common divisor of x and 114? 19 Let a be (7/2 + -5)/(6/(-344)). Suppose 87*c - 105 = a*c. Calculate the greatest common factor of c and 42. 21 Suppose -103 = 8*v - 95. Let z(s) = 23*s**2 - 6*s - 5. Let x be z(v). Calculate the highest common divisor of 56 and x. 8 Let m(h) = 11*h**2 + 154*h + 11. Let z be m(-22). Calculate the highest common factor of z and 413. 59 Suppose -16*a = -22*a + 24. Suppose 0 = a*x, 3*x + 40 = 26*n - 22*n. Calculate the highest common divisor of 830 and n. 10 Let o(f) = -f**3 + 25*f**2 - 22*f + 69. Let s be o(25). Let t = -467 - s. Calculate the highest common factor of 77 and t. 7 Suppose -40*t = -807 - 2826 + 553. Calculate the greatest common factor of 968 and t. 11 Let p be 280 - ((-56)/42 - 26/3). What is the highest common divisor of p and 4640? 290 Let u = 337 + -331. Suppose u*q = 11*q - 105. Calculate the greatest common divisor of q and 140. 7 Let o be 2/11 + -4 + 19960/88. Suppose -6*m + 5*t + o = -3*m, 5*t = -m + 101. Calculate the greatest common divisor of 216 and m. 27 Let l be 0 - (-2 - 140 - -2). Let r(t) = t**3 - 36*t**2 + 119*t + 344. Let w be r(32). What is the greatest common factor of l and w? 28 Suppose -3*o + 45 = 3*m, 2*m - 28 = -2*o - 2*m. Let l be -1 + 0 + (-6)/(-6)*o. Let r = 342 + -162. Calculate the greatest common divisor of l and r. 15 Let m = 5282 - 4985. Calculate the highest common divisor of m and 198. 99 Let b(v) = 2*v**3 - 20*v**2 + 11*v + 23. Let x be b(10). Suppose o - 20*w = -15*w + x, -5*o + 5*w + 645 = 0. What is the highest common factor of 32 and o? 32 Suppose -5*r + 575 = -715. Let a = r + -248. Calculate the greatest common factor of 30 and a. 10 Suppose 0 = -3*b - x + 51, -4*b + 81 = -0*b - 3*x. Let l = 109 - b. Suppose -r = 3*n - 44, r + 41 = 2*n + 4*r. Calculate the greatest common divisor of n and l. 13 Let a(p) = 11*p**2 + 31. Let x be a(4). Calculate the highest common divisor of 99 and x. 9 Let i = 14784 - -2623. What is the highest common factor of 103 and i? 103 Suppose 5*y = -y - 4*y + 390. What is the greatest common factor of 1911 and y? 39 Let b be (-6)/8*(-928)/24. Suppose -1935 = -7*r - 311. Calculate the greatest common divisor of r and b. 29 Suppose 15*o = -5*v + 10*o + 155, 3*v - 108 = 2*o. Calculate the highest common factor of 14314 and v. 34 Suppose -4*j + 467 = -c, -4*j + 465 = -8*c + 5*c. What is the highest common factor of 156 and j? 39 Suppose 2*y - s - 51 = 0, -4*y - 10*s + 101 = -13*s. What is the greatest common divisor of 546 and y? 26 Let c be (-4)/(-6) + 42/9*-1. Let k be 686/42 - c/6. Calculate the greatest common divisor of 51 and k. 17 Let x = 426 - 446. Let t be x*((-5)/(150/162) - -5). Calculate the highest common factor of t and 14. 2 Let w = 1188 - 2183. Let k = w + 1020. What is the highest common divisor of 225 and k? 25 Let d(l) = l**2 + 69*l - 3492. Let s be d(36). What is the highest common factor of s and 3204? 36 Suppose 3*n + 16 + 136 = j, 3*j = 5*n + 468. Suppose 5*b - 14 = -5*a + j, a + 76 = 2*b. Let v = b + -28. Calculate the highest common factor of v and 36. 9 Suppose -2*h - h + 32 = -o, -h = 5*o + 96. Let u be 62/5 + (-12)/o. Suppose -5*n + 22 = -u. Calculate the highest common divisor of 112 and n. 7 Let q = -1260 - -3412. Calculate the highest common factor of 16 and q. 8 Suppose 5*o + 40 = 265. Suppose -2*m + 126 = 2*j, -38*j - 498 = -6*m - 34*j. Calculate the greatest common divisor of m and o. 15 Suppose 5*a - 800 = -5*c, -2*c - 41 = a - 361. What is the greatest common factor of c and 70? 10 Let o be (-99)/264 + 2214/16 - 1. What is the greatest common factor of o and 19043? 137 Let t(c) = 7*c**2 - 26*c - 1121. Let n be t(-43). Calculate the greatest common divisor of n and 20. 20 Let h = 20 - 140. Let z be (14/(-105) - 346/h)*72. Suppose 4*q - 5*j - 63 = 0, 106 = 5*q + 3*j - 19. Calculate the highest common factor of z and q. 22 Suppose -9 = 3*i, 3*u + i - 3 = -0. Suppose u = -2*c + 10. Suppose 5*z = 8*z - 24. Calculate the greatest common factor of c and z. 4 Let k = -248 + 287. Let d be -2 - (k - -5)/(-4). What is the greatest common divisor of d and 234? 9 Suppose x - 4*o - 39 = 0, o + 30 + 6 = x. Let p(h) = 2*h**3 - 56*h**2 + 3*h - 79. Let b be p(28). What is the greatest common factor of x and b? 5 Suppose 5*w = -5*j + 30, 5*w - 21 = 4. Suppose j = -6*f + 31. Let m(a) = 3*a**2 - 6*a - 5. Let z be m(f). What is the greatest common divisor of z and 60? 20 Let y be (3 - 10) + 2 - -32. Suppose 70 = -y*n + 32*n. Calculate the greatest common divisor of 14 and n. 14 Let f = -33078 + 33313. What is the greatest common factor of 245 and f? 5 Let a(o) = -293*o + 3822. Let b be a(13). What is the greatest common divisor of b and 20? 1 Let q(o) = 19*o**2 - 153*o + 54. Let s be q(29). Calculate the highest common factor of 52 and s. 52 Let a be 6222/85*40/12. What is the highest common divisor of a and 3294? 122 Let i be (-23092)/138*(-369)/6. Calculate the highest common divisor of i and 41. 41 Let s(m) = 9*m**2 + 15*m - 21. Let x be s(8). Calculate the highest common divisor of 25 and x. 25 Let c = -10625 + 12798. What is the greatest common divisor of c and 159? 53 Let f be 6189 - ((-5)/(-6) - 39/(-18) - 5). What is the greatest common divisor of 41 and f? 41 Let p be (1 + 4)*18/5. Suppose 0 = -p*z + 23*z - 120. What is the highest common factor of z and 84? 12 Let n(x) = x + 2. Let g be n(5). Let c = -69 - -71. Let t be (12 + c)/(-2)*(-6)/6. Calculate the highest common divisor of g and t. 7 Let w = -31 + 35. Suppose 0 = w*d - f - f + 16, -2*f = 0. Let n be d/(-14) + ((-222)/(-7) - 0). Calculate the highest common divisor of 4 and n. 4 Let a be 3/2*182/(-105)*-10. Let s(y) = y**3 + 6*y**2 + 3*y - 9. Let u be s(-5). What is the highest common factor of u and a? 1 Let f(q) = 4*q**2 + 11*q - 54. Let x(m) = -7*m**2 - 19*m + 107. Let p(w) = -5*f(w) - 3*x(w). Let n be p(-11). What is the highest common divisor of 108 and n? 12 Let o be (2/(-4))/(17/(-1020)). Suppose 0 = -43*q + 51*q - 264. Let l = q + o. Calculate the highest common factor of 18 and l. 9 Suppose -9*l = 104*l + l - 17100. Calculate the greatest common divisor of 1450 and l. 50 Suppose 5*m - 3*x = 40, 5*m - x - 29 = 11. Let v = -17 - -19. Suppose g + v = 2*g. What is the highest common divisor of g and m? 2 Let d(a) = 262*a**2 + 173*a + 874. Let c be d(-5). What is the highest common divisor of 21 and c? 7 Let a = -5829 + 5864. What is the greatest common factor of a and 85? 5 Suppose -21*z - 9570 = 8*z. Let k = z - -344. What is the highest common divisor of k and 28? 14 Suppose -3*f - 3*l = -0*f - 36, f = -5*l. Suppose 151 + 449 = -f*m. Let t be 29/(-29) - 3*m. Calculate the highest common divisor of t and 17. 17 Let t be -8 - -8 - (-10 - -1). Suppose 0 = 35*j - 34*j - 6. Calculate the highest common divisor of t and j. 3 Let d(u) = -15*u**2 - 2. Let q be d(2). Let x = -63 - q. Let b be x + 2 + (5 - (-1 - 254)). Calculate the highest common divisor of b and 29. 29 Let y = -2256 - -2766. Calculate the highest common factor of 595 and y. 85 Let a(v) = -v**3 + 4*v**2 + 97*v - 4. Let j be a(12). What is the highest common divisor of 11736 and j? 8 Let j(q) = -2 + 2 - 6*q - 10 + 33. Let l be j(-8). Let c = l - 65. What is
{ "pile_set_name": "DM Mathematics" }
12 Let x = -218 - -344. Let y(h) = -3*h + 5. Let l(z) = -z + 1. Let m(c) = -l(c) + y(c). Let i be m(-5). What is the highest common factor of i and x? 14 Let i = 139 - 69. What is the greatest common factor of i and 14? 14 Let d(v) = -23*v + 1. Let r be d(-3). What is the greatest common divisor of r and 20? 10 Let s(n) = n**3 + 22*n**2 + n + 62. Let k be s(-22). What is the highest common factor of 10 and k? 10 Let x(w) = -4*w - 5*w**2 + w**2 - 4 + 2*w + 16*w**2. Let d be 11/(-3) - (-2)/3. Let j be x(d). Calculate the highest common factor of j and 44. 22 Let b(p) = -26*p - 2. Let d(v) = -v**2 - 2*v - 1. Let u be d(0). Let h be b(u). Calculate the greatest common factor of h and 60. 12 Let c = -21 + 35. Let v be (1/(-1) - -1) + c. Let o be ((-196)/12)/(2/(-12)). Calculate the highest common factor of v and o. 14 Suppose 0 = s - 4*s + 12. Suppose -25 = -j - s*j. Suppose 2*v + j*d - 17 = 0, v - 3*d - 2 = d. Calculate the highest common factor of v and 15. 3 Suppose 3*n - 70 = -2*n. What is the greatest common divisor of n and 21? 7 Suppose 2*u + 6 + 6 = 0. Let a(n) = -11*n + 8. Let g be a(u). Let b = g - 34. Calculate the greatest common divisor of 16 and b. 8 Suppose 0 = 2*t - t - 25. Suppose -3*i - 14 = -2*n + 3, 0 = 5*i - t. Calculate the greatest common divisor of n and 16. 16 Suppose -68 - 52 = -4*t. Suppose 4*q - t = -q. Suppose 0 = -2*j - 6, -3*v - 2*j + 177 = -7*j. Calculate the highest common divisor of v and q. 6 Suppose 3*o - 4*o = 1, -4*g + 322 = -2*o. Let d = 9 - 27. Let u be 2030/63 - (-4)/d. What is the highest common divisor of u and g? 16 Let f = -6 + 7. Let j be 15 + f*(-6)/(-2). Suppose -5*m + m + 8 = 0. Calculate the greatest common divisor of j and m. 2 Suppose 32 = 3*a + 2. Suppose -a = 2*m - 46. Calculate the highest common factor of m and 144. 18 Suppose 23 = 3*w + 3*c - 43, -39 = -2*w - c. Calculate the highest common divisor of 85 and w. 17 Let x(q) = -q. Let m be x(0). Let n(s) = -s + 1. Let g be n(m). What is the greatest common divisor of g and 9? 1 Suppose 4*z + 22 = -138. Let k = 64 + z. Suppose 4*l + 4*y = 16, 0 = 3*l - 2*y - 4 - 3. What is the greatest common divisor of l and k? 3 Suppose -5*g + 4*g + 95 = 0. What is the greatest common factor of 38 and g? 19 Let u(s) = -4*s - 12. Let g be u(-10). What is the highest common divisor of g and 7? 7 Let i(h) = -2*h - 8. Let n be i(-10). Calculate the greatest common divisor of 2 and n. 2 Let v = 96 + -138. Let n be 1*v*3/(-6). Calculate the greatest common factor of 147 and n. 21 Suppose 2*c + 11 = 3*p + 33, 3*c = 2*p + 33. What is the greatest common factor of c and 11? 11 Let b = 101 + -59. Calculate the greatest common factor of 6 and b. 6 Let k(y) = -44*y**3 - 2*y**2 - 3*y + 2. Let i be k(-2). What is the highest common divisor of 32 and i? 32 Let c(a) = a**3 + 8*a**2 + 8*a - 4. Let s be c(-6). Let b be (0 - -1)/((-2)/(-20)). What is the greatest common divisor of b and s? 10 Let r(b) be the third derivative of 7*b**5/30 - b**4/24 + b**3/6 - b**2. Let i be r(2). Let h = 53 - 31. Calculate the greatest common factor of i and h. 11 Let d(m) = m**2 + m - 1. Let v be d(-3). Suppose -1 = -q, v*z - 2*q + 6*q = 54. What is the highest common factor of z and 5? 5 Suppose -6*c + 5*c = -54. Calculate the highest common factor of 36 and c. 18 Let m be 6*(-80)/(-6 - -4). Calculate the highest common factor of m and 15. 15 Let t be 36/(-15)*(-40)/12. What is the highest common divisor of 16 and t? 8 Suppose 3*q - 5*z + 22 = 4*q, 0 = 4*q - 5*z + 12. Let x(w) = w**3 + 5*w**2 - 6*w + 5. Let i be x(-6). Calculate the greatest common factor of i and q. 1 Let k = 81 - 75. Calculate the highest common factor of 2 and k. 2 Let f(v) = -v**2 - 8*v + 17. Let m be f(-7). Calculate the highest common factor of 16 and m. 8 Let x be 1 + 14/4*2. Suppose 39 = -5*n + 159. Calculate the highest common divisor of x and n. 8 Let t = 7 + -35. Let v be 4/10 - t/5. Suppose -22*g = -24*g + 18. Calculate the greatest common divisor of v and g. 3 Let v be (-108)/(-14) - (-8)/28. Let b be 379/((1 + -2)*-1). Suppose -5*f = -b + 99. What is the highest common factor of v and f? 8 Suppose -4*t + 67 = 5*r, -4*r = -t + 2*t - 47. Suppose -4*a + 45 = 3*z, 2*z - 6*z = -a - 41. What is the highest common divisor of z and r? 11 Suppose -3*p = -m - p - 6, -4*m + 3*p = 4. Let i be 12*(m + 10/(-8)). Calculate the greatest common divisor of 36 and i. 9 Let r = 162 + -159. What is the highest common divisor of r and 7? 1 Suppose -4*o + 250 = -g - 423, -500 = -3*o - 4*g. What is the greatest common factor of 21 and o? 21 Let p = -101 + 128. What is the greatest common divisor of p and 297? 27 Let d(o) = -o**2 - 13*o - 5. Let z be d(-12). What is the greatest common factor of 7 and z? 7 Let h(m) = -m**3 + 10*m**2 - 15*m + 12. Let a be h(8). Calculate the greatest common divisor of a and 2. 2 Let g be -6*(12/8 - 2). What is the highest common divisor of 15 and g? 3 Suppose 0 = -o - 19 + 55. What is the highest common factor of o and 8? 4 Let v = 5 + -3. Let c(l) = l**3 - l**2 - l + 1. Let q be c(v). Suppose -2*n + 16 = u - 40, 2*u - 82 = -q*n. What is the highest common factor of 3 and n? 3 Let r = 42 - -13. What is the highest common divisor of 5 and r? 5 Let n(h) = 6*h**3 - h**2 + h. Let f be n(1). Suppose 3 = 3*i + 5*y, 4*i + 2 - f = y. Suppose 0 = -5*b + 4 + i. Calculate the greatest common divisor of b and 1. 1 Let x be (-12)/28 + 744/21. What is the greatest common divisor of x and 7? 7 Suppose 0 = 2*s - 72 - 36. Let x be -2 + (-11)/((-55)/100). What is the greatest common divisor of s and x? 18 Let p(q) = -q**3 - 6*q**2 + 5*q - 1. Let d be p(-7). Suppose -4*r + d = -7. Calculate the highest common factor of r and 5. 5 Let d be 4/3 + 4/6. Suppose -2*v - d*v = 0. Suppose 3*t - 9 = v, -51 = -5*q - 4*t + 2*t. What is the greatest common factor of 36 and q? 9 Let t(f) = -4*f**2 - 3*f + 2. Let q(s) = -s**2 + s - 1. Let l(z) = 3*q(z) - t(z). Let a be l(-7). Calculate the highest common divisor of a and 3. 1 Suppose -p + 2 = -1. Let m be (p - -1)*(-5 + 6). What is the greatest common factor of 4 and m? 4 Suppose i - 11 = -8. What is the greatest common factor of 2 and i? 1 Let u = -6 - -14. Let f be 22/u + 3/12. Suppose 0 = -6*n + 2*n - f*v + 78, -3*n + v + 65 = 0. What is the highest common factor of 63 and n? 21 Suppose 36 = 2*s - 0*s - w, -3*w - 12 = 0. Calculate the greatest common factor of 2 and s. 2 Let f be ((-45)/10)/1*-2. What is the highest common factor of 18 and f? 9 Suppose -4*t - 4*z = -468, -58 = -t - 4*z + 74. What is the highest common divisor of 28 and t? 28 Let g(w) = w + 5. Let u be g(-7). Let t be 1 + u + 53 - -3. Calculate the greatest common factor of t and 22. 11 Let h be 7*(3*10 - 3). What is the greatest common factor of 27 and h? 27 Suppose 0 = -n + 4*l + 132 - 0, 4*l = -2*n + 324. What is the highest common factor of n and 19? 19 Let f be -4 + ((-40)/(-30))/(1/30). Let j be ((-9)/(-2))/(3/6). What is the greatest common factor of j and f? 9 Let o be 2*10/8*(7 - 5). Calculate the highest common factor of 85 and o. 5 Let m(w) = w**2 + 5*w + 4. Let a be m(-5). Suppose a*t = 2*t. Suppose -200 = -2*k - t*k. What is the highest common divisor of k and 10? 10 Let j = -64 - -192. Suppose 2*w - 132 - j = 0. What is the greatest common factor of w and 13? 13 Let u(l) = -23*l**2. Let y be u(1). Let s be 9/(-9) - 1*y. What is the greatest common divisor of s and 55? 11 Suppose 3*u - 24 = -3*q, -q - 6*u + 16 = -3*u. Let n(c) = -c**3 + 5*c**2 - 4*c + 4. Let v be n(q). What is the greatest common factor of v and 16? 4 Suppose 6 = 5*o - 9. Suppose -d - 40 = -o*d. Calculate the greatest common divisor of d and 5. 5 Let w(s) = -2*s + 15. Let o be w(-10). Let g = -24 + o. What is the greatest common factor of 11 and g? 11 Let r(g) = g**2 + g - 8. Let y be r(-8). Let u = -1 - -5. Suppose -2*a - 22 = -u*m, -5*m + 7 + 24 = a. What is the highest common factor of y and m? 6 Let c = 3 + 0. Let v(a) = 6*a. Let g be v(c). Let p = 387 - 261. Calculate the greatest common factor of g and p. 18 Let b(v) = -5*v**2 + 6*v + 3*v**2 - 4 + 2*v**2 - v**2. Let l be b(3). What is the greatest common factor of 15 and l? 5 Suppose 3*y = 4*i - 73, -2*i + 36 + 7 = 5*y. What is the highest common factor of i and 133? 19 Let q(x)
{ "pile_set_name": "DM Mathematics" }
(sqrt(1872) - (sqrt(1872) - (sqrt(1872) + sqrt(1872) + sqrt(1872) + 2 + sqrt(1872)))))**2. 564*sqrt(13) + 28753 Simplify (1*-1*sqrt(50))**2. 50 Simplify (sqrt(2299) + (5*sqrt(2299))**2 - sqrt(19)) + 3*sqrt(171). 19*sqrt(19) + 57475 Simplify (4 + sqrt(833) + 3 + sqrt(833) - (2*sqrt(833) + 4))**2. 9 Simplify sqrt(152)/(sqrt(32)/sqrt(4)*-5). -sqrt(19)/5 Simplify (sqrt(1008) + sqrt(1008)*2*-4 - (sqrt(1008)*-2 + -1))**2. -120*sqrt(7) + 25201 Simplify 3 + sqrt(1584) + -1. 2 + 12*sqrt(11) Simplify (sqrt(13)*-2)**2 + -2 - (-1 + sqrt(1573)). -11*sqrt(13) + 51 Simplify (sqrt(288) - sqrt(288)*-5)**2 + sqrt(18)/(sqrt(9) + sqrt(54)/sqrt(6)). sqrt(2)/2 + 10368 Simplify ((-2 + sqrt(4)/sqrt(2) + sqrt(32) + sqrt(32) + -2 + sqrt(32))*4)**2. -1664*sqrt(2) + 5664 Simplify ((sqrt(225) - -1*sqrt(225)) + sqrt(225) + sqrt(225) - sqrt(225))/(sqrt(21)/(sqrt(7)*-2)). -30*sqrt(3) Simplify -5*(sqrt(7) + sqrt(28) + 5) + -3 + -4. -15*sqrt(7) - 32 Simplify (2*sqrt(51)/sqrt(3) + (-1*sqrt(102) - sqrt(102))/sqrt(6))**2*3. 0 Simplify (sqrt(84)*-4*1)/sqrt(12). -4*sqrt(7) Simplify ((1*sqrt(19) + sqrt(19))*3 - (1 + sqrt(19) + -2 - sqrt(19)))**2. 12*sqrt(19) + 685 Simplify ((sqrt(153) + 3 - sqrt(17))*-3)**2*-5. -3465 - 540*sqrt(17) Simplify (1*sqrt(45))**2 + sqrt(20) + (sqrt(180))**2. 2*sqrt(5) + 225 Simplify -1 + sqrt(18)*-3 + 3. -9*sqrt(2) + 2 Simplify (sqrt(180)/(-1*sqrt(12)) + sqrt(15))/sqrt(3). 0 Simplify (sqrt(1216) + -4)**2 + 5 + -2. -64*sqrt(19) + 1235 Simplify -4*(0 + sqrt(3564) + 2)**2. -14272 - 288*sqrt(11) Simplify (-3*sqrt(52)/sqrt(400))**2. 117/100 Simplify 1*((sqrt(7) - (3 + -2*sqrt(7) - sqrt(7))) + (sqrt(49)/(sqrt(7) - sqrt(7)*2))**2). 4 + 4*sqrt(7) Simplify (6*((-1*sqrt(133) - sqrt(133))/sqrt(7) + -3 + (sqrt(19) - (sqrt(19) + -1 - sqrt(19))))*2)**2. 576*sqrt(19) + 3312 Simplify (sqrt(170) + sqrt(170) + (sqrt(170) - sqrt(170)*1*4) + sqrt(170))/(-2*sqrt(10)*2). 0 Simplify ((sqrt(600)*-2 - sqrt(600)) + sqrt(600) + sqrt(600))/(sqrt(16)/(sqrt(128) - sqrt(8))) + 0. -30*sqrt(3) Simplify 4 + sqrt(1053)*-3. -27*sqrt(13) + 4 Simplify (-4 + sqrt(80))**2*-3. -288 + 96*sqrt(5) Simplify -3*sqrt(1620) + sqrt(1620). -36*sqrt(5) Simplify -1*(2*2*sqrt(153))**2. -2448 Simplify ((sqrt(132)*-1*1)/((1*sqrt(72))/sqrt(6)))**2. 11 Simplify ((sqrt(4032)*-2 - sqrt(4032))/sqrt(9))**2. 4032 Simplify ((sqrt(1573) - (sqrt(1573) + 1))*-1)**2. 1 Simplify (-2 + 2*sqrt(17))**2*-1. -72 + 8*sqrt(17) Simplify sqrt(3) + 0 + -3 + (sqrt(15) - sqrt(15)*2)/sqrt(5). -3 Simplify (sqrt(13) + -1 + 3 - (-1*(sqrt(52) + sqrt(13)) - sqrt(13))) + -3 + 4*sqrt(52)/sqrt(4). -1 + 9*sqrt(13) Simplify ((2*sqrt(242) - sqrt(242)) + 1)**2*-3. -729 - 66*sqrt(2) Simplify (-2*(sqrt(1377)*-1 - sqrt(1377) - sqrt(1377)))**2 + -1*(sqrt(1377) - (0 + sqrt(1377)))**2 + -4. 49568 Simplify sqrt(24)/(6*1*sqrt(12)). sqrt(2)/6 Simplify -3*(-1*sqrt(684) - sqrt(19)). 21*sqrt(19) Simplify 4*(sqrt(13) + -2) - sqrt(65)/(sqrt(5) - (sqrt(5) + sqrt(5) + sqrt(80) + sqrt(5))). -8 + 25*sqrt(13)/6 Simplify sqrt(55)/(-6*sqrt(33)/sqrt(3) + sqrt(11)). -sqrt(5)/5 Simplify (sqrt(17) - (sqrt(17) + sqrt(68)*-2) - (sqrt(153) + -2))**2. 4*sqrt(17) + 21 Simplify (-1 + sqrt(2)*-1 + (sqrt(18) + -1 - sqrt(18)) + sqrt(2) + sqrt(2))**2. -4*sqrt(2) + 6 Simplify (sqrt(117)/(sqrt(3) + sqrt(12)/sqrt(4)))/sqrt(3) + 2. sqrt(13)/2 + 2 Simplify (-1*sqrt(38))/sqrt(2) + 5. -sqrt(19) + 5 Simplify ((((sqrt(171) - (sqrt(171) + sqrt(171)*-2 + sqrt(171))) + sqrt(171) - sqrt(171)) + sqrt(171))/sqrt(9))**2 + 0 + sqrt(684). 6*sqrt(19) + 76 Simplify (sqrt(112)/sqrt(32))/(sqrt(648)*3). sqrt(7)/108 Simplify ((0 + 2*sqrt(1377))*-1)**2. 5508 Simplify 4 + (1*(sqrt(17) + -1)**2 - sqrt(85)/(sqrt(5)*-1)). -sqrt(17) + 22 Simplify (6*sqrt(8)/sqrt(4)*-6)**2. 2592 Simplify 5 + (sqrt(27) - (sqrt(81)/sqrt(3) + sqrt(27))) - (-2*sqrt(162))/sqrt(6). 5 + 3*sqrt(3) Simplify 0 + (2*sqrt(891))**2 + sqrt(891). 9*sqrt(11) + 3564 Simplify 3 + (2 + 2 + sqrt(500))**2. 80*sqrt(5) + 519 Simplify (sqrt(2448) + 4)**2 - (5 + sqrt(119)/sqrt(7)). 95*sqrt(17) + 2459 Simplify 5*(sqrt(175)*-6 + 4). -150*sqrt(7) + 20 Simplify ((sqrt(104) + (sqrt(104) - sqrt(104)*-2)*2 - sqrt(104))/(sqrt(72)*-2))**2. 13 Simplify -4 + sqrt(22)/(-1*sqrt(128)). -4 - sqrt(11)/8 Simplify (-5*(2 + sqrt(176) - sqrt(176)))**2. 100 Simplify -5*((sqrt(272))**2*-5 + sqrt(17)). -5*sqrt(17) + 6800 Simplify (sqrt(190) + (sqrt(190) - -6*(sqrt(190) - (sqrt(190) + -3*sqrt(190)))))/(sqrt(80)/(sqrt(32)/sqrt(4))). 20*sqrt(19) Simplify (sqrt(637) - (sqrt(637) - (sqrt(637)*-2 - sqrt(637))))**2*-4 + -1 + sqrt(637) + -5. -22938 + 7*sqrt(13) Simplify (-1*sqrt(35))/sqrt(7) + (5*sqrt(50))/sqrt(10). 4*sqrt(5) Simplify (sqrt(833) + 6*sqrt(833)*2 + 3 + 0)**2. 546*sqrt(17) + 140786 Simplify (sqrt(1300)*-2)/(((sqrt(256)*-2 - sqrt(256)) + sqrt(256) - sqrt(256)) + sqrt(4))*5. 50*sqrt(13)/23 Simplify sqrt(6)/((-2*sqrt(22))/sqrt(11))*1. -sqrt(3)/2 Simplify (-3 + sqrt(468)*1 + -5)**2. -96*sqrt(13) + 532 Simplify 0 + ((sqrt(2450)*1)/sqrt(10))**2. 245 Simplify (2*sqrt(152))/sqrt(8) - ((-2*sqrt(19) + sqrt(19) - sqrt(19)) + 3). -3 + 4*sqrt(19) Simplify 5 + 0 + sqrt(1377). 5 + 9*sqrt(17) Simplify -4 + 5 + sqrt(5) + 2. sqrt(5) + 3 Simplify (sqrt(567))**2*3 + ((-1*sqrt(2268))**2 - sqrt(2268)). -18*sqrt(7) + 3969 Simplify ((sqrt(114) + 1*sqrt(114))/sqrt(3) - sqrt(38))/sqrt(2). sqrt(19) Simplify 5 + (sqrt(153) + sqrt(153)*1 + 3 - sqrt(153))**2. 18*sqrt(17) + 167 Simplify (-3*2*sqrt(14))/(-6*sqrt(8)). sqrt(7)/2 Simplify (sqrt(33) - (sqrt(33) - -6*(1*sqrt(33) - sqrt(33)) - sqrt(33)))/(5*sqrt(9)/sqrt(3)). sqrt(11)/5 Simplify (sqrt(847) + -2 + -2 + (sqrt(7) - (-1 + sqrt(7))))**2*-1. -856 + 66*sqrt(7) Simplify -1 + sqrt(396) - -6*sqrt(44)/sqrt(4). -1 + 12*sqrt(11) Simplify (sqrt(11)*-5 - sqrt(11))*-4 - 6*5*sqrt(11). -6*sqrt(11) Simplify (sqrt(78) + (sqrt(78) - 1*sqrt(78)) + sqrt(78) + sqrt(78))/sqrt(6) + (3*sqrt(208))**2. 3*sqrt(13) + 1872 Simplify 4 + (6*sqrt(180)*1)**2. 6484 Simplify sqrt(77)/(-1*sqrt(28) + sqrt(7)). -sqrt(11) Simplify (sqrt(12)/(sqrt(48)/sqrt(2)))**2. 1/2 Simplify -2*(sqrt(175) + 1) + -1 + sqrt(175) + 0 + 1. -5*sqrt(7) - 2 Simplify sqrt(20) + 0 - 3*sqrt(605). -31*sqrt(5) Simplify ((sqrt(297) + (sqrt(297) + sqrt(297)*1 - sqrt(297)) + sqrt(297) + sqrt(297))/sqrt(11))/(-1*sqrt(81)). -4*sqrt(3)/3 Simplify (sqrt(32) + -3 + (sqrt(32) + -4 - sqrt(2)))**2. -98*sqrt(2) + 147 Simplify sqrt(275) + 2 + 2. 4 + 5*sqrt(11) Simplify 4*((sqrt(13) + -2)*-6)**2. -576*sqrt(13) + 2448 Simplify sqrt(27)/(-1*sqrt(900)). -sqrt(3)/10 Simplify (-6*(2*sqrt(200)*-4 - sqrt(200))*-2)**2. 2332800 Simplify (5*sqrt(8)*-4 + 5*sqrt(4)/sqrt(8))**2. 5625/2 Simplify -4*-6*(-4 + sqrt(5) + sqrt(5)*-1 + sqrt(5)). -96 + 24*sqrt(5) Simplify (2 + (sqrt(275)*-1)**2)*-5. -1385 Simplify 5*sqrt(77)/sqrt(7)*-6. -30*sqrt(11) Simplify sqrt(26)/sqrt(2)*-2*-6 + -4. -4 + 12*sqrt(13) Simplify sqrt(16)/(sqrt(8)*-1) + ((sqrt(40)/sqrt(5))/sqrt(4))**2. -sqrt(2) + 2 Simplify (2*sqrt(1100) + 3)**2. 120*sqrt(11) + 4409 Simplify (2*sqrt(208))**2 + 0 - (sqrt(208) + sqrt(208) + (sqrt(208) - 1*4*sqrt(208))). 4*sqrt(13) + 832 Simplify sqrt(405) + -2 + sqrt(405) + (2 + sqrt(405))**2. 54*sqrt(5) + 407 Simplify 2*(-5 + (sqrt(63)*-2)**2). 494 Simplify -4 + 4 + sqrt(68) + sqrt(17). 3*sqrt(17) Simplify 3*-3*-2*sqrt(75). 90*sqrt(3) Simplify ((sqrt(1573)*-2 + 4 + sqrt(1573))*6 + 3)**2. -3564*sqrt(13) + 57357 Simplify (sqrt(42)/(sqrt(6) - (2*sqrt(6) + sqrt(6) - sqrt(6) - sqrt(6) - sqrt(6))) - (-4 + sqrt(28)/sqrt(4)))**2. 16 Simplify (-1 + -6*sqrt(1300)*1)**2. 120*sqrt(13) + 46801 Simplify ((-6*(sqrt(136) - (sqrt(136) - (sqrt(136) - (sqrt(136)*2 + sqrt(136) - sqrt(136) - sqrt(136))) - sqrt(136))))/sqrt(8))**2. 612 Simplify 2 + -3*(-1*sqrt(147))**2. -439 Simplify 6*sqrt(128) + (sqrt(2) - (sqrt(2)*1)**2)*5. -10 + 53*sqrt(2) Simplify (-1 + sqrt(3200) + 0 + sqrt(3200))**2 + -3. -160*sqrt(2) + 12798 Simplify 4*(sqrt(4)/sqrt(2)*-5 + sqrt(2)*2*-4)**2. 1352 Simplify 1*(-3*sqrt(19) + sqrt(19))**2 - (2*sqrt(2299) - sqrt(19)). -21*sqrt(19) + 76 Simplify (-3*(sqrt(7) - sqrt(14)/sqrt(2)) - sqrt(7)) + 3. -sqrt(7) + 3 Simplify sqrt(405)*-1*3. -27*sqrt(5) Simplify -1*(-2 + sqrt(38)/sqrt(2)) + (sqrt(76)/sqrt(4) + 1 - sqrt(19) - sqrt(38)/sqrt(2)*-6). 3 + 5*sqrt(19) Simplify ((sqrt(105)/sqrt(3) - sqrt(35))*3)/sqrt(5). 0 Simplify 3*sqrt(1100) - sqrt(220)/sqrt(
{ "pile_set_name": "DM Mathematics" }
(((sqrt(304) - 2*sqrt(304)) + -3 - sqrt(304)) + ((sqrt(304) + 2)*-5 + sqrt(304) - sqrt(304)))**2. 730*sqrt(19) + 15069 Simplify (3*(4 + -4*(-5 + sqrt(539)*-2 - sqrt(539)*1*6)*-5))**2. 1935360*sqrt(11) + 124268544 Simplify (sqrt(40)/(sqrt(20)/sqrt(5)) + sqrt(10) + sqrt(10) + sqrt(1440) + 1*sqrt(1440))/(-1*(sqrt(320) - (sqrt(320) + sqrt(320)*-1)) - sqrt(320) - sqrt(320)). -9*sqrt(2)/8 Simplify (((sqrt(121) + sqrt(121)*1)*5 - (sqrt(121) + (-2*sqrt(121)*4 - sqrt(121))))*6)/((sqrt(121)*-2)/sqrt(11)*-1*5) + 4. 4 + 54*sqrt(11)/5 Simplify (3*(sqrt(300) - 1*sqrt(300)*-3))/(sqrt(60)/sqrt(640) - (sqrt(24)/sqrt(4)*-2 + sqrt(6))). 160*sqrt(2)/3 Simplify (sqrt(84)/sqrt(3) + sqrt(7) + -4 + (sqrt(7) + sqrt(28) - sqrt(7)) + 2 + (-1*-2*sqrt(1008) - 6*(sqrt(1008) + -1)))**2 + -5. -344*sqrt(7) + 12954 Simplify (sqrt(234)/sqrt(6)*4 - sqrt(156)*1)/((5*sqrt(528)*2)/sqrt(11)). sqrt(13)/20 Simplify (((1*sqrt(980) - sqrt(980))*1*-5)/(3*-4*sqrt(4) - (sqrt(576) - (sqrt(576)*-1 - sqrt(576)))))**2*4. 0 Simplify -2 + (((sqrt(1300) - (sqrt(1300)*4 + sqrt(1300)))*4 - 5*(sqrt(1300)*-2 - sqrt(1300)))**2 + 5)*3 + 3. 3916 Simplify (-1*((4*(sqrt(475) + (sqrt(475) - -2*sqrt(475))) - (0 + sqrt(475) + -1 + sqrt(475)) - (-4 + sqrt(475)*-2)*-3)*4 + 1))**2. -13760*sqrt(19) + 488249 Simplify (-1*-6*3*(sqrt(27) + (sqrt(2187)*-1 - sqrt(2187)))*-4 + 2)**2. 14688*sqrt(3) + 40450756 Simplify 5*6*(-2 + (sqrt(112)*-3*6 - (sqrt(112) + sqrt(112)*-1 + 4))) + -1. -2160*sqrt(7) - 181 Simplify (4*(-5*-6*(sqrt(200)*3 - sqrt(200)))/(sqrt(20)/sqrt(2)*5 + sqrt(160)/sqrt(4)))**2. 1152000/49 Simplify -4*((sqrt(70)*-1*-6)/((sqrt(200)/sqrt(4))/sqrt(5)) - (sqrt(21)/(sqrt(3)*-5 + sqrt(3)) + sqrt(7) + (sqrt(343)*-4 - sqrt(7))))**2. -131383/4 Simplify 4*(-4*(0 + sqrt(13) + (sqrt(13) - (sqrt(13) - sqrt(13)*-2)) - sqrt(13)) + -3 - ((sqrt(104)/(sqrt(32)*-5 - sqrt(8)))**2 + 1)). -1988/121 + 32*sqrt(13) Simplify (-1*sqrt(324))/sqrt(12)*6 + -3 + sqrt(75) + (1*sqrt(3) + -2)**2. -17*sqrt(3) + 4 Simplify (sqrt(475) - (sqrt(475) + (sqrt(475)*2)**2 + -2)) + 1 + 1 + 0 + (-2*-2*sqrt(475) + (sqrt(475) + 4 + sqrt(475)*1 - sqrt(475)))**2. 200*sqrt(19) + 9995 Simplify sqrt(3872)*-2*4 + 4 - (5 + 2 + (2 + sqrt(162))**2 + 1). -388*sqrt(2) - 170 Simplify (-6*(sqrt(147) - (-1 + sqrt(147))) + 4 - (sqrt(1458) + (sqrt(1458)*-2 - sqrt(1458)) - sqrt(1458))/(sqrt(6)*1*1))*-6. -162*sqrt(3) + 12 Simplify -2*((-1 + sqrt(325) + -5)**2 + -2 - (2 + (sqrt(325) + 0)**2)*-6)*4. -18568 + 480*sqrt(13) Simplify (1*(-4 + 2*sqrt(300) + 6*(sqrt(300) + 2 + sqrt(300) + sqrt(300)) + (sqrt(300) - (-1 + 5*sqrt(300))) + -5) + 2)**2. 1920*sqrt(3) + 76836 Simplify (-3*(sqrt(3000) - (1*sqrt(3000) - sqrt(3000) - sqrt(3000))*-5))/((sqrt(54) - sqrt(486)) + (sqrt(726)*1 - sqrt(726))) + -3. -20*sqrt(5) - 3 Simplify 5 + 4*((-1*sqrt(20) + sqrt(50)/(sqrt(30)/sqrt(3)) - (-1 + sqrt(20) + 2))*-5)**2 + -3. 600*sqrt(5) + 4602 Simplify (sqrt(102)/(sqrt(27)/(-3*sqrt(9))))/(6*sqrt(16)/sqrt(8)*-6) + -4. -4 + sqrt(17)/12 Simplify (-2*(4*(sqrt(114) + 1*sqrt(114)) + -3*sqrt(114)*-2))/(-1*(sqrt(864) + sqrt(864)*1)*-2). -7*sqrt(19)/12 Simplify ((0 + sqrt(245) + 1)**2 + 1 + 2 - (-2 + sqrt(245) + 4 - (2 + (-2 + sqrt(245) - sqrt(245)) + sqrt(245)))**2)*-3. -735 - 42*sqrt(5) Simplify (1*((-6*-3*sqrt(153))/sqrt(3))/((-1*sqrt(36))/sqrt(3)))**2. 1377 Simplify -4*(-5 + (sqrt(539)*1 - sqrt(539) - sqrt(539) - sqrt(539)) + 3 + -4 + -2 + -1)**2. -8948 - 1008*sqrt(11) Simplify (sqrt(17) + -2)*4 + sqrt(17) + -2 + sqrt(68) + sqrt(17) - ((sqrt(119)*1 - sqrt(119))*2 + sqrt(119))/((sqrt(98)/sqrt(2) + sqrt(49))/sqrt(7)). -10 + 15*sqrt(17)/2 Simplify 4 + ((sqrt(270)/sqrt(10) - (sqrt(3) - sqrt(12)/sqrt(4))*-1) + -2 + (sqrt(3) + sqrt(15)/(sqrt(20)/sqrt(4)))**2 + 3)*-5. -61 - 15*sqrt(3) Simplify -2 + 5 + (0 + -4*(sqrt(304) - -2*sqrt(304)))*2 + 3. -96*sqrt(19) + 6 Simplify (-4 + (sqrt(88)*-2*5)/(-2*sqrt(98) + sqrt(2)))**2 + -1. -160*sqrt(11)/13 + 6935/169 Simplify -4 + -2*(sqrt(30)/((sqrt(50) + 3*sqrt(50))/sqrt(5)) + -1*((sqrt(243) + sqrt(243) + 3 + sqrt(243))**2 + sqrt(3)))*1. 651*sqrt(3)/2 + 4388 Simplify -4*(-4*sqrt(27) + sqrt(300) + (sqrt(300) + -1*sqrt(300))**2 - (sqrt(30) + sqrt(480)*1)/(sqrt(90)/sqrt(81))). 68*sqrt(3) Simplify -4*(-4 + 1*(3*(sqrt(68) + -1 + -3 + sqrt(68) + 0 + -2))**2). -11072 + 1728*sqrt(17) Simplify (-3 + sqrt(500) + (sqrt(500) + sqrt(500)*-2)*6 + 3 + 0)**2 + 3. 12503 Simplify (((sqrt(209) - 1*sqrt(209)) + sqrt(209))*-1 - (sqrt(209)*1*5 + sqrt(209)))/(5*(sqrt(11) - 2*(sqrt(11) + sqrt(176)) - sqrt(11))) + -3. -3 + 7*sqrt(19)/50 Simplify 4 + (sqrt(1584) - -1*(sqrt(1584) - (1 + sqrt(1584)))**2 - ((sqrt(1584) + 1 - sqrt(1584))*-4)**2)*6*-1. -72*sqrt(11) + 94 Simplify (0 + 4 + (((sqrt(55) + -2*sqrt(55))*2)/sqrt(11) + 2 + 0)*-3)**2. -24*sqrt(5) + 184 Simplify -1 + 1*(-4 + -2*-3*(-1*-2*sqrt(132))/(sqrt(72)/(sqrt(30)/sqrt(5)))). -5 + 12*sqrt(11) Simplify (-6*(sqrt(88) - 5*sqrt(88)) - -4*3*sqrt(88))/(-2*(sqrt(648) + 3*sqrt(648)*1)). -sqrt(11)/2 Simplify (((2*sqrt(121)*3 - sqrt(121)) + 5*-2*sqrt(121))*6)/((sqrt(88)*2*-3)/(6*sqrt(40)/sqrt(5))). 30*sqrt(11) Simplify 1 + ((sqrt(2420) - sqrt(2420)*5)/(sqrt(4) + sqrt(144)/sqrt(9))*6)**2 + 4. 38725 Simplify (((1 + sqrt(2))*3 + -4)*3)**2 - (-2*sqrt(392))/(sqrt(4) - sqrt(32)/sqrt(32)). -26*sqrt(2) + 171 Simplify (1*-3*sqrt(110) + -1*(sqrt(110) - sqrt(110)*2))/(sqrt(250) - -1*sqrt(250)*1 - 1*sqrt(250)*-1). -2*sqrt(11)/15 Simplify ((sqrt(363) - 6*((sqrt(363) - (1 + sqrt(363))) + sqrt(363))) + -4*(sqrt(363) + 1))**2 + 6*(sqrt(363) + 1*sqrt(363)*4) + -3. -66*sqrt(3) + 29404 Simplify ((2*sqrt(170)*-2 + sqrt(170))/(1*(sqrt(40) - sqrt(10))) - -2*3*-5*sqrt(272))**2. 257193 Simplify ((1*sqrt(475) + sqrt(475) - sqrt(475)) + 3 - 5*-1*sqrt(475))**2 + 1 + 4 + (sqrt(304) + 0 + (4*sqrt(171) - sqrt(19)) + 3)**2. 270*sqrt(19) + 21398 Simplify 5 + (-6*(-3 + 2*sqrt(405)*4 + 3 + (sqrt(405) - (sqrt(405) - (-1 + sqrt(405))))))**2. -5832*sqrt(5) + 1181021 Simplify (-5 + (sqrt(112) - (3 + sqrt(112) + sqrt(112)))*-1 - (sqrt(112) + 4 + sqrt(112)*1 + 5 + sqrt(112)*1))**2*4. 704*sqrt(7) + 2276 Simplify (((sqrt(294)*1)/sqrt(7))/((sqrt(150)/sqrt(5))/sqrt(5)) + -5 + -6*(-1*sqrt(77) - sqrt(77))/sqrt(11) + 1)**2. -104*sqrt(7) + 1199 Simplify ((((sqrt(21) - sqrt(756)*-2) + sqrt(21))/sqrt(7) - (sqrt(192) - (sqrt(192) + (sqrt(192) + -2 - sqrt(192))*-6) - sqrt(192)))*-5 + 2 + -2)**2. 13200*sqrt(3) + 39900 Simplify (-4*((sqrt(171)*-2*3)/(sqrt(9) - ((sqrt(9) - (sqrt(36) + sqrt(9)))*3 + sqrt(9))) + (-2 + sqrt(475)*-2 - sqrt(475)) + -5 + 0 + sqrt(475)))**2. 2464*sqrt(19) + 37568 Simplify (5*4*sqrt(121)*-2*2)/(sqrt(176)/(sqrt(4)*-1) + sqrt(3564) + (sqrt(3564) - sqrt(3564)*1)). -5*sqrt(11) Simplify (((3 + sqrt(275) - sqrt(11)) + -3 + sqrt(99) + sqrt(99)/(sqrt(225) + -4*sqrt(225) - sqrt(225)))*-4*1*-5)**2. 212531 Simplify (((sqrt(99)*1*2 - sqrt(99)) + sqrt(99))*6)/(sqrt(81)/(sqrt(36)*2)) + 1. 1 + 48*sqrt(11) Simplify (2*(-6*-1*sqrt(700) + 3) + (-5 + sqrt(700)*-1 - sqrt(700) - (sqrt(700) + -1*sqrt(700)*-4 + sqrt(700)))*3)**2. 2160*sqrt(7) + 100881 Simplify (((sqrt(693)*2*6 + sqrt(693))/(6*sqrt(22)/sqrt(2)))/(((sqrt(27) - sqrt(27)*2)*2)/(sqrt(3) + -4*sqrt(3)*2)))**2. 57967/144 Simplify (-6*(3*sqrt(245)*4 + (sqrt(45) + -2)*3))**2*-5*1. -7790580 + 200880*sqrt(5) Simplify ((-1 + sqrt(175))*-3 - (sqrt(175) + (-3*sqrt(175))**2 + -2)) + (-1 + (-1 + sqrt(175) + 2 - sqrt(175)))*5. -1570 - 20*sqrt(7) Simplify -2*5*(3 + -6*((3 + sqrt(891))*6)**2). 116640*sqrt(11) + 1943970 Simplify -5*(2 + ((sqrt(12)/(-5*sqrt(6)/sqrt(3)))/(5*-3*sqrt(27)))**2). -101252/10125 Simplify 4 + (2*sqrt(133)*2)/((sqrt(343) - sqrt(343)*-1) + sqrt(7)) - (2 + (sqrt(19) - (sqrt(171) + 1)) + sqrt(209)/(1*sqrt(275) + sqrt(11)))**2. -2191/36 + 59*sqrt(19)/15 Simplify ((sqrt(76) - ((2*sqrt(76) - sqrt(76) - sqrt(76)) + sqrt(76))*2) + -4*sqrt(76)*-2)/((sqrt(432)*-2)/((-2*sqrt(84))/sqrt(7))). 7*sqrt(19)/3 Simplify ((1 + sqrt(144)/(sqrt(48)/sqrt(4)))*1 + 1 + (sqrt(108) + 1 - sqrt(108) - (sqrt(972) + 0 + sqrt(972))))**2. -204*sqrt(3) + 3477 Simplify 3*((-3 + 2*(sqrt(1700) - (3 + sqrt(1700))))**2 + (2*sqrt(1700)*-2 - (-1*sqrt(1700) + 4))). -90*sqrt(17) + 231 Simplify -4 + ((sqrt(270)/sqrt(20))/(sqrt(144)*5))/((sqrt(800) + -2*sqrt(800))*-6). -4 + sqrt(3)/4800 Simplify (4*sqrt(132)*2 + 1*-1*sqrt(132))/(2*sqrt(1728)*2) + 5. 7*sqrt(11)/48 + 5
{ "pile_set_name": "DM Mathematics" }
10314638 (base 9) to base 11. 2895136 -544401 (base 8) to base 11 -115156 91aa0 (base 11) to base 2 100000110100010100 -41a15 (base 11) to base 10 -61121 What is -328937 (base 12) in base 14? -16c987 Convert 10939 (base 11) to base 6. 201004 Convert -311203311 (base 5) to base 14. -25196b 200002001102 (base 3) to base 15 70645 Convert 183aa (base 11) to base 10. 25772 What is -41410302 (base 6) in base 13? -32c91b Convert -1101011001000111 (base 2) to base 14. -15dc3 Convert 12253006 (base 7) to base 4. 10031321113 Convert -4210105 (base 6) to base 8. -615371 Convert -228675 (base 9) to base 4. -201212012 Convert -1598b4 (base 16) to base 12. -583098 Convert -74d1a (base 14) to base 4. -1010331130 573433 (base 8) to base 7 1436364 312334213 (base 5) to base 10 1293058 Convert -23303102 (base 5) to base 4. -303332212 -114630 (base 7) to base 10 -20895 What is -11000000101101101111110 (base 2) in base 15? -84b11d Convert 33611 (base 11) to base 14. 13a34 2257 (base 10) to base 4 203101 Convert -201021210012002 (base 3) to base 5. -10111004411 Convert -3267 (base 8) to base 14. -8ab Convert -40821a (base 11) to base 15. -ce195 What is -38c9c (base 16) in base 12? -b2738 Convert -ba954 (base 12) to base 6. -5142144 Convert 2411102223 (base 5) to base 4. 111032313302 -126255023 (base 7) to base 11 -4677648 Convert -21333110 (base 4) to base 13. -15815 Convert -1046160 (base 7) to base 5. -13120102 -1425743 (base 9) to base 6 -24454150 What is -1022e (base 16) in base 3? -10100122221 What is 10202001121 (base 3) in base 16? 11fc8 3413a7 (base 13) to base 7 13314550 Convert -21112221 (base 4) to base 15. -b543 Convert 16436152 (base 7) to base 11. 9a7691 -1bc00 (base 13) to base 16 -d5e4 -20313213331 (base 4) to base 8 -10674775 -111101101000011 (base 2) to base 4 -13231003 Convert -45938 (base 12) to base 16. -16afc What is -854464 (base 10) in base 7? -10156102 What is -1242343130 (base 5) in base 14? -5a635d Convert c04432 (base 14) to base 8. 30524234 What is -8ad836 (base 14) in base 5? -2202132130 What is 32330211 (base 6) in base 11? 5a6635 -367a1a (base 14) to base 13 -503c5b What is 4374517 (base 9) in base 7? 25664440 What is 458089 (base 13) in base 4? 12101301202 -535be (base 16) to base 13 -bc546 210111222 (base 4) to base 11 a1911 What is 1002000103 (base 5) in base 14? 399271 6f3 (base 16) to base 12 1043 What is 48a031 (base 12) in base 14? 2296cd Convert -20201221222102 (base 3) to base 5. -1404102221 Convert -152012 (base 10) to base 15. -30092 34262 (base 9) to base 10 22817 What is -61de1 (base 16) in base 3? -202100212212 What is 184a111 (base 13) in base 6? 442013222 -80b76 (base 16) to base 9 -883182 What is -52531477 (base 8) in base 5? -10330441012 What is -10011101000110 (base 2) in base 14? -3942 What is -11100011100000100001011 (base 2) in base 8? -34340413 -11320243 (base 7) to base 5 -223342134 What is a7152a (base 15) in base 5? 4013441130 What is 1234422230 (base 5) in base 16? 2e77c3 -133452 (base 9) to base 2 -10011110110001010 Convert -69229 (base 10) to base 2. -10000111001101101 Convert -1410205 (base 6) to base 5. -10013013 What is 104436 (base 9) in base 5? 3443242 21511105 (base 6) to base 3 1012212110112 Convert -504341 (base 6) to base 16. -9bc5 What is -335784 (base 10) in base 4? -1101332220 What is 138173 (base 10) in base 6? 2543405 What is -762654 (base 11) in base 5? -302444100 Convert -4041472 (base 8) to base 4. -10010030322 Convert -3291496 (base 10) to base 9. -6166067 Convert 544534 (base 6) to base 11. 309a8 Convert -e5bd4 (base 16) to base 4. -3211233110 What is -100100101110011001 (base 2) in base 5? -14303200 What is 110435203 (base 6) in base 14? 39d41d -11010101101001100 (base 2) to base 5 -12000023 Convert 10010001010001101 (base 2) to base 9. 123025 -224741 (base 8) to base 4 -102213201 What is 10022111313 (base 4) in base 2? 100001010010101110111 Convert 20014242 (base 5) to base 6. 3212531 What is -1453562 (base 9) in base 16? -c4112 Convert 11012122022201 (base 3) to base 13. 604171 Convert 324413302 (base 5) to base 15. 1cb0d7 Convert -1c8426 (base 14) to base 2. -11111001011010010010 Convert 1b1ad2 (base 15) to base 8. 5026130 104564 (base 11) to base 4 220302022 What is 198dd (base 16) in base 2? 11001100011011101 Convert 110000010101000111 (base 2) to base 13. 6c148 What is -1208614 (base 9) in base 12? -27767a What is 753387 (base 9) in base 3? 211210102221 -13263231 (base 7) to base 9 -2267253 What is 6658026 (base 9) in base 8? 15523241 -6156445 (base 8) to base 12 -666b99 Convert 199fca (base 16) to base 12. 68b9a2 Convert -193977 (base 11) to base 5. -34013421 Convert -12012221222 (base 3) to base 14. -29641 176b0 (base 16) to base 12 47614 -3455221 (base 7) to base 4 -1221331120 -21010000122010 (base 3) to base 14 -705594 What is -1000100121220 (base 3) in base 14? -100334 Convert -1532104 (base 6) to base 13. -31bc1 -2082b47 (base 13) to base 7 -150023131 Convert -430ae0 (base 15) to base 13. -879a7a What is 205826 (base 13) in base 5? 143124310 -303332 (base 5) to base 15 -2db2 162770 (base 9) to base 15 1eba3 What is 10100002001220 (base 3) in base 7? 21033015 Convert 164341 (base 9) to base 15. 20191 -69133 (base 10) to base 16 -10e0d Convert 220221220120 (base 3) to base 13. 1427ca What is -1001101001110011 (base 2) in base 4? -21221303 Convert -879ac (base 13) to base 12. -ba10a What is 4cbdb (base 15) in base 16? 3bfb1 Convert 2551403 (base 6) to base 2. 100001111100011011 What is 433867 (base 9) in base 4? 333023113 Convert -40111160 (base 7) to base 5. -1322020224 -1974338 (base 10) to base 12 -7b2682 Convert 111000001101011011101 (base 2) to base 11. 1048921 Convert 7587593 (base 10) to base 16. 73c709 Convert -1011011011000011 (base 2) to base 4. -23123003 What is -1001000000001101101010 (base 2) in base 6? -122330414 Convert -12442202 (base 5) to base 10. -124677 Convert -4831f2 (base 16) to base 5. -2202401003 What is -41541535 (base 6) in base 13? -3351cb -260171 (base 11) to base 6 -12442455 -aa71 (base 11) to base 13 -684c What is 1948593 (base 12) in base 10? 5323071 What is -10210021020102 (base 3) in base 4? -13223130032 What is -25455241 (base 6) in base 3? -1120021011121 What is 566500 (base 13) in base 10? 2041858 What is 110300012211 (base 4) in base 13? 11860a7 -200124450 (base 7) to base 13 -25165b0 What is -4044113040 (base 5) in base 14? -1133417 14b17b (base 12) to base 3 122211111212 What is 252200 (base 10) in base 7? 2100164 What is -fb (base 16) in base 9? -308 What is -253411252 (base 7) in base 8? -75233343 401211443 (base 6) to base 4 121313312103 Convert 1511577 (base 9) to base 3. 1120101122121 122001102011 (base 3) to base 7 2565355 1100111110010111010110 (base 2) to base 4 30332113112 -1691e14 (base 15) to base 12 -55b3b84 What is 22835 (base 14) in base 11? 58075 What is -3041115 (base 9) in base 6? -54430235 Convert -34680 (base 13) to base 5. -11024324 -111550 (base 6) to base 13 -4428 What is -b3907 (base 14) in base 9? -728343 What is -22000103002 (base 4) in base 9? -4836544 What is 6222712 (base 8) in base 7? 20002611 Convert -246651 (base 8) to base 3. -11100011121 Convert -1563132 (base 8) to base 13. -12aa87 1596343 (base 10) to base 13 43b7a8 Convert 1000002210011 (base 3) to base 4. 2002033132 10010100000001101100 (base 2) to base 6 20555004 What is -72425 (base 10) in base 4? -101223221 Convert 10126b (base 12) to base 7. 2063402 12023013223 (base 4) to base 3 10001020001011 What is cea62c (base 15) in base 6? 551131240 Convert 746a6e (base 16) to base 15. a0a882 What is -2732644 (base 8) in base 14? -15d940 What is 161047 (base 15) in base 13? 2b4608 -1715751 (base 9) to base 6 -32252031 What is -2693617 (base 10) in base 7? -31616053 Convert -23041434 (base 6) to base 5. -140033111 What is -80d181 (base 14) in base 8? -20431615 Convert 244b2ba (base 13) to base 3. 210012222002022 4586477 (base 10) to base 12 1652265 -1321a6 (base 16) to base 11 -786aa7 Convert 2042524 (base 6) to base 16. 18334 502224 (base 6) to base 14 10504 What is 218818 (base 13) in base 8? 3007120 What is 113721 (base 9) in base 16? 10b1f 265820 (base 13) to base 4 3202021223 4f6ce7 (base 16) to base 8 23666347 104131001 (base 5) to base 7 3616003
{ "pile_set_name": "DM Mathematics" }
-11? 24314011 In base 6, what is -5132 - 502? -10034 In base 6, what is -2 - 3335304? -3335310 In base 13, what is -1a + -11578? -11595 In base 8, what is 2 - -262222? 262224 In base 6, what is 1053 + 431? 1524 In base 15, what is 511 - 774? -263 In base 4, what is -3002201 - -232? -3001303 In base 9, what is 0 - -38484? 38484 In base 11, what is 1182 - -425? 15a7 In base 13, what is -c442 - 5? -c447 In base 14, what is 624 - -35? 659 In base 4, what is 103203122 - 2? 103203120 In base 16, what is -ed74 + 9? -ed6b In base 7, what is -1605 - -31? -1544 In base 13, what is 1a91c + 0? 1a91c In base 5, what is -1 + 234121044? 234121043 In base 4, what is 131331123 - 11? 131331112 In base 3, what is 1012222112 + -11? 1012222101 In base 6, what is 13 - 11155? -11142 In base 14, what is 2 - -5994c? 59950 In base 8, what is -431 + -215? -646 In base 6, what is -322 - 104233? -104555 In base 12, what is -44 + -772? -7b6 In base 13, what is 4 - 7864? -7860 In base 9, what is 2 + -662161? -662158 In base 13, what is 2 - 8c91? -8c8c In base 4, what is -200322 - 121? -201103 In base 11, what is 236975 - 5? 236970 In base 5, what is 300134 - -3022? 303211 In base 5, what is 23300 + -43? 23202 In base 15, what is -1d0 + -b19? -ce9 In base 2, what is 100010100001101 - 100? 100010100001001 In base 7, what is 5 - -22010? 22015 In base 14, what is 3 + -9999a? -99997 In base 7, what is 31 + 6126? 6160 In base 5, what is 14402 + -243? 14104 In base 6, what is -1204 - -25434? 24230 In base 9, what is 65150 + 2? 65152 In base 10, what is -3263 + 4? -3259 In base 3, what is -111212 - -10120? -101022 In base 8, what is 6 - 215431? -215423 In base 14, what is -298 - -389? d1 In base 3, what is 2011200 + 1120? 2020020 In base 14, what is -b16c - -65? -b107 In base 13, what is -2 + -234c95? -234c97 In base 4, what is 2301110112 + -2? 2301110110 In base 6, what is 1 - -131203? 131204 In base 13, what is -1c744 - 3? -1c747 In base 8, what is -31 + 246262? 246231 In base 16, what is 35 + 470? 4a5 In base 16, what is -4c74 + -4? -4c78 In base 4, what is 0 + 1332331013? 1332331013 In base 3, what is -1100220212002 - -2? -1100220212000 In base 6, what is 532144020 + 1? 532144021 In base 14, what is 3a - -5d8? 634 In base 14, what is 46 + -1b? 29 In base 12, what is -72a207 - 5? -72a210 In base 11, what is 439898 - -4? 4398a1 In base 10, what is -27094 - -30? -27064 In base 8, what is 157 - -31573? 31752 In base 11, what is 16a - -1583? 1742 In base 10, what is -147 + 1848? 1701 In base 16, what is -14 - -16e4? 16d0 In base 9, what is 43341 - -158? 43510 In base 16, what is -5 + 1538? 1533 In base 2, what is 11010011010110 + 11? 11010011011001 In base 13, what is -3 + -241c66? -241c69 In base 13, what is 20 + 19543? 19563 In base 3, what is -1112220 + 200? -1112020 In base 9, what is 3 + -3016? -3013 In base 2, what is 1001010110011110010010 + 10? 1001010110011110010100 In base 16, what is -b0f - -7? -b08 In base 8, what is -20207 - -1? -20206 In base 7, what is 1402116 - 11? 1402105 In base 16, what is -4c13d - 2? -4c13f In base 8, what is -3327 - 32? -3361 In base 15, what is 1c + -14c64? -14c47 In base 9, what is -43 + 468? 425 In base 16, what is 3f2c4 + -2? 3f2c2 In base 5, what is -31 - 2320213? -2320244 In base 7, what is 1 - -46655? 46656 In base 14, what is 5ac36 - 8? 5ac2c In base 15, what is -185 - -39b? 216 In base 4, what is -31 - 21032? -21123 In base 2, what is -1 + 101111101000010111? 101111101000010110 In base 2, what is 1 + 110010001000100110? 110010001000100111 In base 13, what is c46 + 36? c7c In base 5, what is 121001142 + 4? 121001201 In base 8, what is -42 + 104045? 104003 In base 16, what is 448 + 167? 5af In base 3, what is 1200222202 - 2? 1200222200 In base 14, what is 8547 - -1? 8548 In base 8, what is 1161752 - 11? 1161741 In base 3, what is 1000222022 + -11? 1000222011 In base 8, what is -31567516 - 0? -31567516 In base 8, what is -1135432 + 4? -1135426 In base 7, what is 10142 - -3? 10145 In base 3, what is -102 + 2101211? 2101102 In base 12, what is -9b52 - 26? -9b78 In base 4, what is -113 - -210120? 210001 In base 6, what is 1034132 + 5? 1034141 In base 12, what is -3798 - 302? -3a9a In base 10, what is -3382 - 39? -3421 In base 16, what is -10 + 14b8? 14a8 In base 16, what is 231d - -8? 2325 In base 10, what is -2 + -293357? -293359 In base 16, what is 1f - -1a3? 1c2 In base 5, what is 300031 + -223? 244303 In base 10, what is 150 + 343? 493 In base 9, what is -38 + -22128? -22167 In base 15, what is 88 - 92? -9 In base 16, what is -26 - 17a4d? -17a73 In base 5, what is -12033001 - -21? -12032430 In base 11, what is -2739723 - -2? -2739721 In base 4, what is -1030203002 - -21? -1030202321 In base 13, what is 19 + -7416? -73ca In base 3, what is 1020002220 - -2? 1020002222 In base 14, what is a9dbb + -5? a9db6 In base 5, what is 100402 - -13? 100420 In base 12, what is 2528a + 2b? 252b9 In base 8, what is 1002 + -1? 1001 In base 12, what is -614 - 47? -65b In base 16, what is -20421 + 7? -2041a In base 15, what is b55 + 716? 136b In base 4, what is -212 - 3301110? -3301322 In base 11, what is -22a1 + -90? -2381 In base 6, what is -44410 - -20? -44350 In base 15, what is -6 - -14d? 147 In base 4, what is -130 - 103003? -103133 In base 4, what is 22320 - 123? 22131 In base 13, what is -8334 - 0? -8334 In base 15, what is -548b - -7? -5484 In base 11, what is 85a - -37? 896 In base 2, what is 10001010111 + -100000? 10000110111 In base 3, what is 1011 - 22102101? -22101020 In base 16, what is 83 + -4a6? -423 In base 6, what is 5 - -2425055? 2425104 In base 10, what is 126 + 15? 141 In base 10, what is 11884 + -2? 11882 In base 3, what is -10001 + -2010010? -2020011 In base 12, what is 55 - bb6? -b61 In base 15, what is 1c + 12e? 14b In base 8, what is -11431577 + -5? -11431604 In base 3, what is 2000021 + 22? 2000120 In base 14, what is -5 + -49c29? -49c30 In base 5, what is 1020 + -2021? -1001 In base 3, what is -10001100120 + 112? -10001100001 In base 7, what is 4 - -1614535? 1614542 In base 14, what is 1030a + -4? 10306 In base 11, what is -29a + 90? -20a In base 12, what is 1a1bb - 3? 1a1b8 In base 16, what is -fe + 35c? 25e In base 12, what is -51 - -2b6? 265 In base 3, what is 1102121210 - 1212? 1102112221 In base 7, what is -36260 + -23? -36313 In base 16, what is -1e7ac6 + 0? -1e7ac6 In base 7, what is 140 + 1436? 1606 In base 8, what is 1566046 - -2? 1566050 In base 14, what is b7c6 + 4a? b832 In base 16, what is 2 + 1fe1b? 1fe1d In base 11, what is -3 + -57aa8? -58000 In base 13, what is -280aa - -5? -280a5 In base 13, what is -3675 - 21? -3696 In base 8, what is -2 - -157404? 157402 In base 5, what is 12004211 + 1? 12004212 In base 16, what is 0 + 28eaf? 28eaf In base 4, what is -2 + 1212120111? 1212120103 In base 4, what is 330 + -1331301? -1330311 In base 11, what is -202 - -1136? a34 In base 3, what is 0 - 11212112? -11212112 In base 14, what is d + 5d8? 607 In base 6, what is 2015 + 442? 2501 In base 16, what is 824 - -73? 897 In base 3, what is -121 + -12112201? -12120022 In base 3, what is 211021 + -202? 210112 In base 10, what is -3894 + -15? -3909 In base 2, what is -1001110 - -11100100? 10010110 In base 7, what is -1 + 44441? 44440 In base 3, what is -1112012 + 1? -1112011 In base 8, what is 26504 + 7? 26513 In base 6, what is 2 - -32? 34 In base 10, what is 184 + -869? -685 In base 7, what is 20620 + -2? 20615 In base 14, what is 24b5 + 2? 24b7 In base 3, what is -10022112 - 110122? -10210011 In base 14, what is -260 - -34? -22a In base 7, what is 544453 + -5? 544445 In base 5, what is 3212 + -40012? -31300 In base 4, what is -1000111101 - -3? -1000111032 In base 3, what is 2 - -20022101? 20022110 In base 2, what is 1000111000001100 + 1001? 1000111000010101 In base 7, what is -15340 - -15? -15322 In base 16, what is ff + 325? 424 In base 12, what is -2a - -b4? 86 In base 12, what is -1b31 + -67? -1b98 In base 7, what is -1 - -2363? 2362 In base 12, what is 21920 - b? 21911 In base 4, what is 2330033 + -10? 2330023 In base 3, what is -20 - -12012012212? 12012012122 In base 11, what is -190776 - 5? -190780 In base 6, what is 1031403 + 1? 1031404 In base 10, what is -1 + 1941? 1940 In base 11, what is -1 + 20a543? 20a542 In ba
{ "pile_set_name": "DM Mathematics" }
e of g(y). What is b(3)? 1 Let f(i) = -4*i**2 - 2*i + 1. Suppose 12 = n + 2*k, 70 = 5*n - 0*k + 5*k. Suppose 0 = -n*b + 18*b + 36. Let l = 16 + b. Give f(l). -11 Suppose -5*u = -3*m - 30, 15 = -4*u + 3*m + 39. Let a(s) = -s**2 + 8*s - 9. Determine a(u). 3 Let a(t) be the second derivative of -t**6/144 + t**5/40 - 41*t**4/12 + 33*t. Let k(i) be the third derivative of a(i). Calculate k(3). -12 Suppose 4*v + 62 - 14 = -4*p, 5*p + 3*v = -54. Let i(r) = -r**3 - 8*r**2 + 6*r - 20. What is i(p)? 7 Suppose 8*k - 21 = k. Let b be -6*24/(-27)*k/(-4). Let r(x) = -x**2 - 2*x + 4. What is r(b)? -4 Let b(n) = -n**2 - 6*n - 4. Let l = 40 - 26. Let s = 23 - 13. Let t = s - l. What is b(t)? 4 Let r(v) = -v + 103. Let f(d) = 2*d - 192. Let q(m) = -6*f(m) - 11*r(m). Determine q(6). 13 Let d(v) = -v**2 + 2*v - 5. Let i = 76 + -73. Suppose -6*c + 3*c = -3*z, -i*z = 2*c - 25. Give d(z). -20 Let m(c) be the first derivative of -c**3/3 + 7*c**2/2 + 2*c - 5. Calculate m(8). -6 Suppose 20*l - 424 + 544 = 0. Let c be 4*(-1 + -1)/(-2). Let i(x) = 5*x + 4*x - c*x + x**2. Give i(l). 6 Let i(v) be the third derivative of v**5/60 + 5*v**4/24 - 2*v**3 - v**2 + 329. Give i(-9). 24 Let g(v) be the third derivative of -v**5/60 + v**4/3 - v**3/2 + 38*v**2. Let y(j) = -j**2 + 7*j - 2. Let k be y(5). Calculate g(k). -3 Let w(n) = -7*n**2 - 12*n - 4*n**2 - 15 + 12*n**2 + 2*n + 6*n. Determine w(6). -3 Let m(d) = -2*d + 1. Suppose -20 = -n - 5*y + 2*y, 0 = -4*n - 5*y + 115. Let v be 12/(-7) + (-10)/n. Determine m(v). 5 Let h = 26 - 17. Suppose -3*q + h = -j, -q - 5*j - 19 = -3*q. Let o(c) = 5*c - 2. Give o(q). 8 Let i = -10 + 16. Let r = -7 + i. Let v(x) = 2*x + 27 + 46 - 74. Determine v(r). -3 Let o(t) be the second derivative of -3*t**3/2 + 3*t**2/2 - 4*t + 1. Give o(3). -24 Let i be (18/(-234))/(10/(-65)). Let c(n) be the first derivative of i*n**4 + 4 + 4/3*n**3 + 3/2*n**2 + 2*n. Calculate c(-2). -4 Let o be (6/3)/(68 - 67). Let w(c) be the first derivative of 0*c**o + 2 + 7*c - 1/3*c**3. Determine w(0). 7 Let k = 76 - 81. Let v(g) = -g**3 - 5*g**2 - g + 3. Calculate v(k). 8 Let p be 3 + 0*2/6. Let r(k) = 6*k**2 - 4*k**2 + k**p - 5 + k + 5*k**2. Determine r(-6). 25 Let q(b) = -b**3 - 5*b**2 - 2*b - 3. Suppose -4*w + 47 = -4*h + 79, -6 = 3*w + 3*h. What is q(w)? 7 Let a(x) = -x**3 - 13*x**2 + 13*x - 6. Let u be a(-14). Let m(c) = -6 + 2*c**2 - 2*c**3 - c**3 + 4*c**3 + u. Let f be (-4 + 1)*(-2)/(-3). Calculate m(f). 2 Let i(s) = -s**2 - 2*s + 1. Let h(y) = -y**2 + y. Let k(t) = -2*h(t) - i(t). Let b = 85 - 46. Let a = 38 - b. Give k(a). 2 Let f(d) = 4*d + 2. Let v(q) = -6*q - 3. Let j(g) = -4*f(g) - 3*v(g). Calculate j(6). 13 Let l(k) be the third derivative of k**5/60 + 7*k**4/24 - 4*k**3 - 243*k**2. What is l(-10)? 6 Let u(d) = d**3 - 3*d**2 - 4*d + 1. Let b be u(4). Suppose 9 + b = 5*g. Let y(l) = 2 - 2*l + 9*l - l + 2*l**2 - 7*l. What is y(g)? 8 Let l(c) = c + 5. Let r(m) = m**3 - 5*m**2 + 4*m + 1. Let w = -7 - -10. Let a be r(w). Give l(a). 0 Let p(x) = -x + 2. Let w = 10 + -7. Suppose 7*f = w*f. Let l = f + 5. Give p(l). -3 Let s(b) be the third derivative of 4*b**5/15 + b**4/24 - 585*b**2. Suppose 4*m + m + 10 = 3*k, 5*m - 4*k = -15. Determine s(m). 17 Suppose -7 = 5*f - 6*f. Let n = -2 - -4. Let h(i) = 2*i**2 - 6 - n*i**2 - i**2 + 7*i. Determine h(f). -6 Suppose -15*u + 20*u = 0. Let r(h) = -5*h + h**3 - 2 + 11*h + 3 - h**2 - 7*h. Give r(u). 1 Let h(p) = -3*p + 1. Let k(m) = -79*m + 2 + 0 + 74*m. Let y(o) = 7*h(o) - 5*k(o). What is y(5)? 17 Let a(n) = n**3 - 4*n**2 - 15*n + 6. Let z be a(7). Let m = z - 48. Let s(o) = o**2 - o - 7. What is s(m)? -7 Let d(h) = -h**3 - 6. Let p be 0/(1*(-1)/(-1)). Suppose -m = 2*n - 3, 2 = 2*n + 5*m + 3. Suppose -n*y + y = p. What is d(y)? -6 Suppose -4*t - l - 4 = -0*l, -3*t + 3*l - 18 = 0. Let g(y) = y**3 - y**2 - 4*y + 1. Let d be g(t). Let k(f) = -4*f - 1. Calculate k(d). 11 Suppose -j + 7 = -4. Let k(y) = -1 - 6*y**3 - j*y + 4*y + 8*y + y**2. What is k(1)? -5 Let v(n) = 107*n + 97*n + 13 + 99*n - 301*n. What is v(-9)? -5 Suppose -6*w = -w. Let x(j) = -4*j + 6*j + 0*j - 5 + w*j. Give x(4). 3 Let s be 3*2*14/(-14). Let x(y) = y**3 + 4*y**2 - 2*y - 9. Let n(h) = -h**3 - 3*h**2 + 3*h + 10. Let d(k) = -2*n(k) - 3*x(k). Calculate d(s). 7 Let q = -777 - -772. Let s(w) = -4*w**2 - 9*w - 8. Let b(m) = 7*m**2 + 17*m + 15. Let c(n) = 3*b(n) + 5*s(n). Calculate c(q). 0 Let x(w) = -2*w**2 - 17*w + 9. Let c(u) = -u**2 - 8*u + 5. Let v(g) = -5*c(g) + 2*x(g). Suppose 12 = -3*s + 5*s. Let q be 124/(-24) - (5/s)/(-5). What is v(q)? -12 Let y(v) = -v**2 - 6*v + 5. Let l be y(-6). Suppose -l*o + 45 = -15. Let f = -8 + o. Let c(j) = -j**2 + 6*j - 2. Give c(f). 6 Let p = 3 - 7. Let t(m) be the first derivative of 6 - 2 - 41*m - 2*m**2 + 36*m. Give t(p). 11 Suppose 2*w - 4*h - 34 = 0, -3*w + h + 17 = -34. Suppose w*m - 14 = 10*m. Let n(q) = -2*q**3 + q**2 - 3*q + 2. Determine n(m). -16 Let x be (3 + -1)/(-1*4)*0. Let c(l) = 1 + x - 8*l**3 + l**2 - 107*l + 106*l. Let r be 20/30*(-6)/(-4). Calculate c(r). -7 Let x(a) = -a**3 - 5*a**2 - a + 1. Let j(n) = 6*n**2 - 1 - n**2 + 3 + 2*n + n**3 - 3. Let o(h) = -3*j(h) - 2*x(h). Determine o(-3). -5 Let j(r) = -3*r**3 - 53*r**2 - 20*r - 25. Let q(p) = -p**3 - 18*p**2 - 7*p - 8. Let z(d) = 6*j(d) - 17*q(d). Determine z(-12). -2 Let w = -3 - -14. Let c(g) = -3*g**3 - 7*g**2 - 12*g. Let r(o) = 2*o**2 + 5*o**3 + 4*o - 4*o**3 + 0*o. Let q(u) = w*r(u) + 4*c(u). Calculate q(-5). -5 Let r(p) = p**3 - 3*p**2 - 2*p - 4. Suppose 0 = 4*m - 11*m. Let f be -1*12/(m - 3). Calculate r(f). 4 Let x(l) = l**2 + 9*l + 6. Let a = 25 - 15. Let n = 4 - a. What is x(n)? -12 Suppose 2*f + 12 = f - 3*z, -2*z = 10. Let a be ((-44)/(-8) - f)*(-6)/(-5). Let w(l) = -l**3 + 3*l**2 + 3*l - 4. What is w(a)? 5 Suppose 0*r = -3*l - r + 10, -5*r = -4*l + 26. Suppose -w + l + 3 = 0. Suppose -3*m - 4 = -w*m. Let p(b) = b**3 - b**2 - b + 1. Give p(m). 0 Suppose -8*j + 10 = -3*j. Let v be (0 - 1) + j/1. Let n(p) = 6*p - v + 2 - 2*p**2 - 5. What is n(4)? -12 Let l be (-11)/66*-6*-1. Let j(r) = -5*r - 3*r**2 - r**2 + 4*r + 2*r**2. Give j(l). -1 Let h = 8 - 2. Let x(o) = -2*o - 5*o + 8*o - 8 + 1. Calculate x(h). -1 Let p(c) be the first derivative of c**3/3 + 7*c**2/2 + 3*c - 1. Let j be ((-8)/(120/25))/((-1)/(-3)). Give p(j). -7 Let g(m) be the third derivative of m**5/60 + 5*m**4/24 + m**3/6 + 35*m**2. Determine g(-2). -5 Let u(a) = -2*a**3 - 5*a**2 + 4*a - 4. Let j(s) = -3*s**3 - 5*s**2 + 5*s - 3. Let w(k) = 3*j(k) - 4*u(k). Determine w(6). -35 Let l(z) = -z**2 - 5*z + 1. Let h(s) be the first derivative of -3*s**4/2 + 2*s**3/3 - s - 10. Let o be h(1). Calculate l(o). 1 Suppose 0 = -3*d - 5*c + 5, -3*d + 3*c + c - 4 = 0. Let m(a) = 0 - 22*a**3 - 6 + 44*a**3 - 23*a**3. What is m(d)? -6 Let r(y) = 2*y. Let u = 32 - 26. Let w = -2 + u. Calculate r(w). 8 Let w(n) be the second derivative of n**4/24 - 5*n**3/6 - 5*n**2 + 12*n. Let y(m) be the first derivative of w(m). Give y(4). -1 Let n(i) = -i + 4. Let b be n(3). Let l(o) = -b + o + 4*o + 0*o**2 - 2*o**2 - 2. Let q = -43 - -47. Calculate l(q). -15 Let g(q) = 8 - 2*q**2 - 4 + q**2 - 3*q. Suppose 0 = 3*o - 7 - 2, 0 = 2*w + o - 43. Suppose -4*x - w = -2*l, -5*x - 5*l + 0 + 5 = 0. Calculate g(x). 4 Suppose 290*o + 20 = 295*o. Let q(b) = -b**3 + 4*b**2 + 2. What is q(o)? 2 Let a(l) = 6*l**2 + 1. Let d(f) = -18*f**2 - 3. Let c(s) = 7*a(s) + 2*d(s). What is c(-1)? 7 Let p = -384 - -384. Let t(z) = z + 48. What is t(p)? 48 Suppose -3*d = a - 18, -4*a - d + 28 = -0*d. Let g(r) = -3*r + 7. Let f(w) = w - 1. Let v(s) = -2*f(s) - g(s). Give v(a). 1 Let q(h) be the third derivative of -h**5/60 - h**4/3 + h**3/6 + 115*h**2. What is q(-5)? 16 Let v(o) = -o + 9. Let a(q) = 9*q + 60. Let p be a(-6). Determine v(p). 3 Suppose 4*p = -5*m + 18, 15 = 5*p - m - 22. Let g(u) = 6*u**2 + 7*u + u - 10*u**2 - 7 + 3*u**2. Let q be g(p). Let i(a) = -a - 4. Give i(q). -4 Let j(b) = -b**3 + 5*b**2 - 2*b + 3. Let i(o) = o**3 + 4*o**2 - 3*o + 12. Let s be i(-5). Suppose -2*v = -s*z - 6, -5*v + 7 = -2*v - z. What is j(v)? 11 Let o(d) = -75*d - 90. Let u(t) = 11*t + 13. Let y(h) = 4*o(h) + 27*u(h). Give y(4). -21 Let a(c) be the third derivative of 13*c**4/24 - 7*c**3/2 - c**2. Let v(u) = -7*u + 11. Let y(t) = 6*a(t) + 11*v(t). Let x = -1192
{ "pile_set_name": "DM Mathematics" }
*2 + u*a and give u. -6 Express 31 - 19 - 12 + 161*i as l*i + a and give l. 161 Rearrange -26 + j**2 - 29*j**3 + 27*j**3 - 22*j**3 - 3*j**2 to i*j + m*j**3 + f*j**2 + s and give m. -24 Express -10*b**2 + 5*b**2 + 74*b**2 in the form v + a*b + d*b**2 and give d. 69 Express (2 - 1 + 1)*(-4 + 4 + 2*n**2) + (n + 2 - 2)*(-113*n + 258*n - 119*n) + 3 - 3 + 2*n**2 as r + p*n**2 + m*n and give p. 32 Express -128*h**3 + 92*h**3 - 1 + 0 - 123*h**3 in the form t*h**3 + b + u*h**2 + g*h and give t. -159 Express -2*l - 100 + 197 - 97 + 4*l + 164*l**2 in the form p*l + w + s*l**2 and give s. 164 Express 4 - 26 + 7 + 2 - 2*r - 39 in the form h*r + v and give h. -2 Rearrange 3 + 128*j**2 + 95*j + 3 - 4*j**3 - 4 - 128*j**2 to v*j**3 + k + n*j**2 + u*j and give k. 2 Rearrange (0 - 2*w + 0)*(-778 - 110*w + 1550 - 773)*(w + 2*w - w) to the form k + z*w**3 + p*w + s*w**2 and give s. 4 Express -31*h**3 - 6*h**2 + 29*h**3 - 20*h - 1 + 10*h as c*h**2 + n*h + l + d*h**3 and give l. -1 Express (85 + 570 - 61)*(-4*v**2 + 0*v**2 + 2*v**2) in the form l + c*v**2 + n*v and give c. -1188 Rearrange 2*m**2 + 0 + 0 + (-11*m + 16 - 16)*(0 - 5*m + 0)*(1 + 4 - 6) + (2*m**2 + 0 + 0)*(1 + 2 - 5) to the form t + x*m + u*m**2 and give u. -57 Express (-7 + 7 + 9*v)*(-502 - 399 + 214) as n*v + w and give n. -6183 Express (6*d - 4*d - 8*d - 1)*(-d - 6*d + 5*d) in the form s + i*d**2 + g*d and give i. 12 Express 3 - 2*n - 3 + 4 - 2*n - 4 + (-3 + 2 - 2)*(1 - 1 - 2*n) + 5*n - 3*n - n - 27*n + 20*n - 50*n in the form r + q*n and give r. 0 Rearrange (4*k - 6*k + 0*k)*(2*k**2 - 3 + 3 + (-3 - 2 + 0)*(61*k**2 + 81*k**2 - 4*k**2)) to i + n*k + a*k**3 + t*k**2 and give a. 1376 Rearrange 968*y + 201870 - 201870 to h*y + n and give h. 968 Express (21 - 196 - 33 - 2*j)*(-3 + 3 + j**3) as b*j + a*j**2 + l*j**3 + h + c*j**4 and give l. -208 Rearrange 111*m**3 - 344*m**3 - 103*m**2 + 114*m**3 + 118*m**3 - 105*m**2 to t*m + f + p*m**2 + n*m**3 and give p. -208 Express 44*j**3 + 0*j**2 - 335 + 2*j + j**2 + 337 as g + l*j + p*j**2 + y*j**3 and give p. 1 Rearrange -3 + 149*a**2 - 5 + 8 to l*a**2 + v + n*a and give l. 149 Express -4*t**2 + t**2 + t**2 - 6*t**2 + 4*t**2 - t**2 + 0*t**2 + 0*t**2 + 3*t**2 + (t - 1 + 1)*(-3*t + 8*t - t) in the form g + q*t + r*t**2 and give g. 0 Express -4*m**2 - 2*m**3 + 382*m + 3*m**3 - 396*m in the form z*m**3 + a*m**2 + x + h*m and give z. 1 Express -4 - 1 + 10 - 3*x**3 + x in the form m*x**2 + h*x + q + b*x**3 and give h. 1 Express 11*j + 2 - 9*j - 129*j**4 - j**2 + 152*j**4 + j**3 in the form x + z*j + h*j**2 + y*j**4 + t*j**3 and give y. 23 Express 9*m - 9*m + 0*m + 1252*m**2 as o + g*m**2 + h*m and give g. 1252 Rearrange -42 + 310*x - 79*x - 80*x - 80*x - 76*x - 2*x**2 to the form b*x**2 + v + a*x and give v. -42 Express -518*n + 521*n - 8 - 8 + 0 as o + s*n and give s. 3 Rearrange -c**3 + 3*c**3 + 4*c**2 - 1264*c + 1262*c to k*c**2 + d + z*c**3 + x*c and give k. 4 Express 25340 - 25340 - 82*a + (2*a - 3*a - a)*(-4 + 3 - 1) as t + r*a and give r. -78 Rearrange -6*a + a**2 - 315*a - 5*a**2 to u*a**2 + j + o*a and give o. -321 Rearrange (-4*l**2 + l**2 + 2*l**2)*(610 - 6*l**2 - 658 - l**2) to g + o*l**2 + a*l**4 + d*l + h*l**3 and give a. 7 Rearrange (-i**2 - i**2 + 3*i**2)*(-4 - 1 + 6)*((0 + 1 + 1)*(-3*i + 2*i + 2*i) - 10*i - 7*i + 7*i) to w*i**3 + o*i + m + c*i**2 and give w. -8 Rearrange 4*u + 0*u**2 + 6*u**4 - u**2 + 62 - 63 + u**3 to x*u**2 + b*u**4 + s*u**3 + m*u + q and give s. 1 Rearrange 8832*v**4 - 17664*v**4 + 3 + 9*v**3 + 8831*v**4 + 3*v**2 to the form k*v**2 + f*v**3 + l*v**4 + q*v + j and give j. 3 Rearrange -82*t - t - 136*t to the form l*t + w and give l. -219 Express -9*t**2 - 7 + 7 + 2*t**2 + 0*t**2 + t**2 + (-37 + 37 - 9*t)*(t - 4*t + 2*t) as r + y*t + h*t**2 and give y. 0 Express -43*q + 240*q + 60*q + 421*q + 51*q in the form p*q + w and give p. 729 Express 3 - 169*g + 88*g + 81*g - 2*g**3 - 94*g**2 as i*g**2 + y + a*g + q*g**3 and give i. -94 Rearrange 363 + 356 - 717 + 3*y**3 + 17*y**2 to the form c*y**2 + k*y + l + s*y**3 and give l. 2 Rearrange 0*n**2 - 6*n**2 + 9*n**2 - 162 - 16 to l*n + d*n**2 + o and give o. -178 Rearrange -13*r**2 - r**2 - 194 + 193 - 15*r**2 to z + i*r**2 + g*r and give i. -29 Rearrange -25*d + 29*d + 33*d**2 - 36*d**2 + 41*d to b + u*d + k*d**2 and give u. 45 Express 15 - 18 - 2549*l**2 + 2509*l**2 in the form i + r*l**2 + v*l and give i. -3 Rearrange 270*t**2 - 649*t**2 - 215*t**2 to the form a*t + w + f*t**2 and give f. -594 Rearrange (-32961*k**2 + 32731*k**2 + 5 - 1)*(2*k - 4*k + 3*k)*(-6 + 4 + 3) to the form s*k**2 + g*k**3 + y + i*k and give g. -230 Rearrange (1 - 5 + 2)*(4*t + t - 2*t + (-1 + 0 + 4)*(1 - 1 + t)) to l*t + j and give l. -12 Express 0*b - 3121*b**2 - 2*b + 3102*b**2 + 2 as i*b**2 + t + f*b and give t. 2 Express (-1 - 3 + 11)*(60*s - 85*s + 2 + 0) in the form r*s + z and give z. 14 Express (3 - 3 + 5*m**2)*(-28 + 61*m + 17 + 13) in the form j + p*m**2 + w*m**3 + c*m and give w. 305 Rearrange -154*l + 9 - 2*l**3 - 8*l**2 + 16*l**2 + 154*l + 1 to y*l + a*l**3 + f*l**2 + v and give v. 10 Rearrange (-1 - 1 - 1)*(-17 + 8163*g**2 + 2*g**4 - 8163*g**2) to n + s*g**4 + j*g**2 + m*g**3 + u*g and give u. 0 Express (-4 + 0 + 2)*(-4*t + 0*t + 2*t) - 16*t + 21*t - 48*t - 4*t - t + 4*t in the form a*t + i and give a. -40 Rearrange (0 - 1 - 1 + (0 - 3 + 2)*(-3 + 5 - 1) - 12 - 56 + 4 + 2 - 3 + 0)*(55 + 17*c**3 - 55) to the form x*c**3 + q*c**2 + i*c + f and give x. -1156 Rearrange (2*g + 3*g - 3*g)*(-3*g + 5*g - 4*g) - g**2 + 117*g - 39 - 124*g + 112 to the form o*g + r + m*g**2 and give o. -7 Express (4*d + 2*d - 5*d)*(-58 + 18*d - 5*d - 12*d) as i + v*d**2 + w*d and give w. -58 Rearrange -10*a + 5*a + 10*a - 214*a**2 - 5*a to k*a**2 + i*a + p and give k. -214 Express (x**2 + x**2 + x**2)*(202*x - 202*x + 6 + 3*x**2) - 1 + 1 + 2*x**4 as c + b*x**3 + w*x**2 + m*x + r*x**4 and give r. 11 Rearrange 1351 - 164*x - 2699 + 1097*x + 1348 to u*x + h and give u. 933 Rearrange 5*s**4 - 263*s**2 + 41*s**3 - 130*s**3 + 42*s**3 + 46*s**3 - 2*s**4 to f*s + v*s**4 + q*s**3 + w*s**2 + h and give q. -1 Rearrange -11 + q + 2*q**2 + 325*q**4 + 4*q**3 - 6*q**3 - 327*q**4 to p*q**4 + x*q**3 + l + m*q**2 + w*q and give p. -2 Express (1 + 0 + 0)*(-3 - 4 + 4)*(57*n + 10145 - 10145) in the form r + s*n and give s. -171 Rearrange (-4*t + 16*t - 3*t + 4*t + 0*t - 2*t + (2 - 3 - 1)*(-2*t + 0 + 0) + t - 2*t + 3*t + 2 - t - 2 - 19*t - 5*t - 14*t)*(4 - 6 + 0) to z*t + g and give g. 0 Express -2560*u**3 - 1 + 2463*u**3 + u**2 + 1 in the form j*u + d + i*u**2 + c*u**3 and give c. -97 Rearrange 2*h**3 + 132*h - 130*h + 2 - h**4 - 13 to the form s*h + k*h**2 + l + m*h**4 + i*h**3 and give l. -11 Express -71*j**4 + 70*j**4 - 7 + 4*j**2 + 9 + 0*j + j**3 + 0*j in the form z*j**4 + k*j + y + s*j**3 + w*j**2 and give y. 2 Rearrange (-7*b - 2*b + 2*b)*(3*b - 4*b + 2*b)*(-40 + 13 - 21) to the form y*b + g*b**2 + z and give g. 336 Express 2*s**2 + 7 + 720*s**4 - 5*s**3 - 722*s**4 - 3 in the form h + d*s**2 + q*s + w*s**3 + j*s**4 and give j. -2 Express (-3 + 0 - 2486*g + 2549*g)*(5 - 1 - 2) + (0 - 1 - 1)*(g + 0*g - 2*g) in the form q + k*g and give k. 128 Rearrange 526679*o - 526679*o - 197*o**2 to the form y*o**2 + g + n*o and give y. -197 Express 3*a - 86*a**2 + 190*a**2 - 112*a**2 - 10 as r*a + z + o*a**2 and give r. 3 Express (-2 - 4 + 0)*(-3*t + 0*t + t) + 0*t - t + 5*t - 1 - 4*t + 1 in the form m*t + f and give m. 12 Rearrange -639 + c**2 + 2*c**4 - 10*c**4 - c**3 + 640 to the form u + m*c**3 + k*c**4 + z*c**2 + r*c and give z. 1 Rearrange 87*o + 48 - 94 + 46 to t + g*o and give g. 87 Rearrange -2*x**2 + 8*x + 165179 + 0*x - 165192 to w*x + i + j*x**2 and give i. -13 Express t**4 - 3*t**2 + 11*t**2 + t**3 + 3*t**4 + 0*t**2 + 2*t as y*t + f*t**2 + z*t**4 + a + g*t**3 and give y. 2 Rearrange 13*m**3 - 20*m**3 - 4*m**2 - 5*m**3 to i*m + q*m**2 + j + u*m**3 and give q. -4 Rearrange 375 - 3*q - 43 + 6*q to the form b + z*q and give z. 3 Rearrange -7 - 49*j**2 + 40 + 45*j**2 to i + f*j**2 + x*j and give i. 33 Express (45*h - 11*h - 92*h)*(2*h**3 - 2*h**3 - 4*h**3) + 4*h**4 + h**4 - 3*h**4 as s*h**4 + q*h**3 + p*h**2 + i*h + k and give s. 234 Rearrange 25610*p**2 + 25*p**4 - 4 - 3*p**3 - 25610*p**2 to x*p**4 + n + d*p + c*p**2 + m*p**3 and give m. -3 Rearrang
{ "pile_set_name": "DM Mathematics" }
8*d**2*r**3 + d**2 + 509*d*r**3 - 31904*d*r - 180*r wrt r? 35028*d**2*r + 3054*d*r What is the second derivative of 115773542*m**4 + 236092753*m + 1? 1389282504*m**2 What is the first derivative of 8449327*b + 15692496 wrt b? 8449327 What is the second derivative of -67*b**4 + 212934*b**3 + 1335557*b + 2 wrt b? -804*b**2 + 1277604*b Find the third derivative of -7250392*m**4 + 105*m**2 + 2*m + 13601 wrt m. -174009408*m Find the second derivative of 5722*x**3 + 6012*x**2 - 78415725*x wrt x. 34332*x + 12024 What is the derivative of -r**3 - 99*r**2 - 234459*r + 511333240 wrt r? -3*r**2 - 198*r - 234459 What is the second derivative of -1354*l**3*v**2 - 242*l**3 - 11*l**2*v - 117*l*v**2 + 26*l*v + 11*v**3 + 1 wrt v? -2708*l**3 - 234*l + 66*v Differentiate -3849*b**3*l - 106190468*b**3 - 2223*l**2 wrt l. -3849*b**3 - 4446*l What is the first derivative of 11777741*j**2 + 10826039? 23555482*j What is the third derivative of 10271963*h**5 + 3*h**4 - 3*h**3 - 2*h**2 - 9376703*h? 616317780*h**2 + 72*h - 18 Find the third derivative of -3885*f**5 - 7*f**4 - 355*f**3 - 254493*f**2 - 77. -233100*f**2 - 168*f - 2130 Find the third derivative of -471888*b*h**3*m**2 - 7*b*h**2 + 183*b*h*m**2 + 9*b + 67*h**3*m**2 + 3*h**2*m + 4*h**2 wrt h. -2831328*b*m**2 + 402*m**2 Find the first derivative of -7571184*s**3 + 2*s**2*y - 3775700*y + 2 wrt s. -22713552*s**2 + 4*s*y Differentiate -2*f**4 - 23*f**3 - 152379*f**2 + 825371 wrt f. -8*f**3 - 69*f**2 - 304758*f Find the third derivative of 29815150*w**6 - 2*w**2 + 2828826*w. 3577818000*w**3 What is the first derivative of 9*k*l*s**2 + 604605*k*s**3 - 2*l*s**3 - 2*l*s + 460*l - 2074*s**3 wrt k? 9*l*s**2 + 604605*s**3 What is the second derivative of -16194271*y**2 + 21157083*y wrt y? -32388542 What is the derivative of -29*b*d**2 + 2*b*d - 6366084*b + 25467*d**2 - 4*d + 2 wrt d? -58*b*d + 2*b + 50934*d - 4 Find the third derivative of 222862865*d**5 - 2*d**3 - 254338682*d**2 wrt d. 13371771900*d**2 - 12 What is the third derivative of -h**3*v*w - 8735741*h**3*v + h**2*v*w + 522*h**2*v - 45*h**2 + 3*h*v*w + 600*v*w + v wrt h? -6*v*w - 52414446*v What is the derivative of 531*v**4 - 49*v**2 + 6*v + 5754758 wrt v? 2124*v**3 - 98*v + 6 What is the third derivative of -7706548*d**3*f**3 + 149*d**3 - 14*d**2*f**3*g - 467713*d*f**2*g + f**2*g wrt f? -46239288*d**3 - 84*d**2*g Find the first derivative of 45278654*n**4 + 8703503. 181114616*n**3 What is the first derivative of 31*t**4 + 6979*t**3 - 255*t - 512653678 wrt t? 124*t**3 + 20937*t**2 - 255 Differentiate -729*h*r*u + 9*h*r - 42*h - 233*r*u + 1493*u + 1 wrt h. -729*r*u + 9*r - 42 Find the second derivative of 21*r**3 - 11304*r**2 - 36975*r + 37 wrt r. 126*r - 22608 What is the third derivative of -113861116*s**6 + 1434944*s**2 + 7*s wrt s? -13663333920*s**3 What is the derivative of 105367551*t - 582075176? 105367551 Differentiate -p*y**3 - 15549007*p - 22782212*y**3 - 1 wrt y. -3*p*y**2 - 68346636*y**2 Find the third derivative of -2*j**2*r**2*x - 143*j**2*r*x**3 + 6*j**2*r*x**2 + j**2*r + 808984*j*r**3*x**3 + j*r**3*x**2 + 906*j - r**3*x - 684*x wrt x. -858*j**2*r + 4853904*j*r**3 What is the second derivative of -730*n**2*r**2 + 11*n**2*r - 5121*n**2 - 21*n*r**2 + n*r - 2*n + 1101*r**2 + 18*r + 1 wrt r? -1460*n**2 - 42*n + 2202 Find the second derivative of q**5 - 12*q**4 + 106468*q**2 + 35122442*q. 20*q**3 - 144*q**2 + 212936 What is the third derivative of 155176566*w**3 - 2*w**2 + 2*w - 611975? 931059396 What is the first derivative of -g**4 - 190801*g**3 - 5*g**2 + 10849170? -4*g**3 - 572403*g**2 - 10*g Find the third derivative of 17*k**5 + 434436*k**3*z**2 + 2*k**2*z - 2763718*k*z**2 wrt k. 1020*k**2 + 2606616*z**2 Find the third derivative of -3*i*m**5 - 17972899*i*m**3 + i*m**2 - 1992*i - 46*m**2 + 34*m wrt m. -180*i*m**2 - 107837394*i Find the second derivative of 1155131558*v**2 + 1388799288*v. 2310263116 Find the second derivative of -1228*h**4 - 39*h**3 + 49*h**2 - 52413732*h. -14736*h**2 - 234*h + 98 What is the second derivative of -96*t**3 - t**2*y**3 + 57983*t**2*y - 42*t*y**3 - 1137*t*y**2 - 2*t - 11*y**3 wrt t? -576*t - 2*y**3 + 115966*y Find the second derivative of -88889*j**4 - 37*j**3 + j**2 - 30806678*j wrt j. -1066668*j**2 - 222*j + 2 What is the third derivative of 150723457*g**3 + 4675*g**2 + 3690*g - 3 wrt g? 904340742 Find the second derivative of 468172869*c**2 - 3*c + 7116593. 936345738 What is the third derivative of -179162670*u**3 - u**2 + 53842*u - 148 wrt u? -1074976020 Differentiate 7*f*t**3 + 2156469*f*t**2 - f - 1520*t**3 + 196*t**2 - 15*t - 4 wrt f. 7*t**3 + 2156469*t**2 - 1 Find the third derivative of -211680511*x**4 - 24*x**2 + 4475*x + 2. -5080332264*x What is the third derivative of -328695391*p**4 - 3*p**2 + 4333807*p? -7888689384*p Find the first derivative of 5679120*b**2 - 6752573. 11358240*b What is the third derivative of 257350172*d**3 + 538513455*d**2? 1544101032 What is the third derivative of 271*n*q**4 + 5*n*q**3 - 172162*n*q**2 - 26*n*q - 35*q**4 - 14*q**3 wrt q? 6504*n*q + 30*n - 840*q - 84 Find the second derivative of -127902066*a**5*x + 117660*a*x + 81*x + 2 wrt a. -2558041320*a**3*x What is the first derivative of -84023013*b**3 + b**2 - 2*b + 213749066? -252069039*b**2 + 2*b - 2 What is the third derivative of 55320*u**5 - 11705*u**3 - 4396905*u**2 - 58? 3319200*u**2 - 70230 What is the derivative of -36934*l**4 + 855*l**2 - 69768618? -147736*l**3 + 1710*l What is the second derivative of -1837665*z**3 - 2*z**2 - 276039389*z + 2? -11025990*z - 4 What is the second derivative of -12830758*p**3 + 2*p + 1775066? -76984548*p What is the third derivative of 15846219*y**4 - 11*y**3 - 548355222*y**2 wrt y? 380309256*y - 66 What is the derivative of -19659517*b + 18678610 wrt b? -19659517 Find the second derivative of 743628336*f*p**2 - 538166182*f*p wrt p. 1487256672*f Differentiate -2*h**3*v + 2*h**3 + 88*h**2*v + 1950*h**2 + 2*h - 216*v + 38 wrt v. -2*h**3 + 88*h**2 - 216 What is the second derivative of 778*h**2*i**3 + h**2*i**2 + 6179*h**2*i + 19*h*i**3 + 749*h*i + 144*i**3 + i**2 wrt h? 1556*i**3 + 2*i**2 + 12358*i What is the third derivative of 22710894*y**4 - 108393*y**2 - 115? 545061456*y Find the second derivative of 4*y**3 + 362342*y**2 - 619408646*y wrt y. 24*y + 724684 Find the first derivative of 2139422*z**3 - 12*z**2 - 14789350. 6418266*z**2 - 24*z Find the third derivative of 45286*f*k**3*n - 2*f*k**2*n + 18*f*k**2 + 2*f*k + 2*f + 844*k**3*n - k**2 - 89 wrt k. 271716*f*n + 5064*n What is the third derivative of -1608*a**3*k**3 - 112427*a**3 + 4*a**2*k**3 + 2613557*a**2*k wrt a? -9648*k**3 - 674562 What is the second derivative of 1276*q**5 - 430*q**2 + 3903254*q wrt q? 25520*q**3 - 860 Find the second derivative of 868728969*l**3 - 43777*l - 4674. 5212373814*l Find the first derivative of 1494*i*w**3 + 13966*i*w**2 - 2*i + 878*w**3 + 2*w**2 + w + 226 wrt i. 1494*w**3 + 13966*w**2 - 2 What is the first derivative of -38245994*u + 35181933? -38245994 What is the third derivative of -62070485*b**3*v**2 - 19683993*b**2*v**2 + 2*b*v**2 wrt b? -372422910*v**2 What is the third derivative of 620177082*x**5 + 47*x**2 + 10383*x - 31? 37210624920*x**2 Differentiate -2636792*f**2*i + 80*f**2 - 6*f*i - 140254*f with respect to i. -2636792*f**2 - 6*f Find the third derivative of 3*l**6 - 12439465*l**4 - 32596*l**2 + 297 wrt l. 360*l**3 - 298547160*l What is the third derivative of -47334361*v**3 - 440871682*v**2 wrt v? -284006166 What is the first derivative of -32235*o**2*v - 16426433*o**2 - 334*v wrt v? -32235*o**2 - 334 Find the third derivative of 14*b*y**4 - 213*b*y**3 - 174*b*y**2 - 38*y**4 - 2*y**3 - 61484*y wrt y. 336*b*y - 1278*b - 912*y - 12 What is the first derivative of 4336636*a**2*c - 2021503*a**2 - 2*a*c**4 - 2 wrt c? 4336636*a**2 - 8*a*c**3 Find the first derivative of 11*c*k**2*n + 2*c*k + c*n + 61*c - 2004*k**2*n + 3*k + 691*n + 1 wrt k. 22*c*k*n + 2*c - 4008*k*n + 3 Differentiate -259552*k*q**2*r - 49*k*q*r**2 + 13*q**2*r**2 - q*r**2 + 569930 wrt k. -259552*q**2*r - 49*q*r**2 Differentiate 2*d*h**2 + 23588*d*h + 8126651*d + 195*h**2 with respect to h. 4*d*h + 23588*d + 390*h Differentiate -l**4 + 971072*l**2 + 42260 with respect to l. -4*l**3 + 1942144*l Find the second derivative
{ "pile_set_name": "DM Mathematics" }
t from {p: 4, q: 2, y: 3, u: 1}. Give prob of sequence yuyp. 1/210 Two letters picked without replacement from {o: 2, l: 2}. What is prob of sequence oo? 1/6 What is prob of sequence vc when two letters picked without replacement from {c: 1, t: 2, v: 1, o: 1, d: 5}? 1/90 Four letters picked without replacement from vyvbvyymbtibtm. What is prob of sequence yyvi? 3/4004 What is prob of sequence srim when four letters picked without replacement from mwimmwmrimwsrmwm? 1/1560 What is prob of sequence bg when two letters picked without replacement from bbggggbgggbggg? 20/91 Three letters picked without replacement from lvbvvffbl. Give prob of sequence lvf. 1/42 Four letters picked without replacement from kybxbyy. What is prob of sequence kyyy? 1/140 Three letters picked without replacement from {l: 1, n: 2, y: 1, f: 2, k: 4}. What is prob of sequence ynk? 1/90 Calculate prob of sequence teef when four letters picked without replacement from {e: 8, f: 8, t: 1}. 2/255 Calculate prob of sequence fi when two letters picked without replacement from fffffifjjefj. 7/132 Three letters picked without replacement from tteeeeeteett. What is prob of sequence tte? 7/66 Four letters picked without replacement from {i: 2, b: 1, m: 1, r: 9, w: 3, n: 2}. What is prob of sequence nrir? 1/255 Calculate prob of sequence dfv when three letters picked without replacement from {f: 2, d: 5, k: 2, m: 7, v: 2}. 5/1224 Calculate prob of sequence eee when three letters picked without replacement from {a: 2, m: 7, e: 7}. 1/16 Calculate prob of sequence zzhe when four letters picked without replacement from {p: 1, h: 4, e: 1, l: 1, z: 4}. 1/165 Calculate prob of sequence cc when two letters picked without replacement from ckkcqkcckkkkk. 1/13 What is prob of sequence iiid when four letters picked without replacement from {d: 5, i: 7}? 35/396 Two letters picked without replacement from {z: 13, u: 5}. Give prob of sequence zu. 65/306 What is prob of sequence ww when two letters picked without replacement from wllwlwllwwwllwwllwlw? 9/38 Two letters picked without replacement from {v: 1, b: 2, y: 3, l: 1, c: 1, k: 3}. What is prob of sequence bv? 1/55 Calculate prob of sequence tlt when three letters picked without replacement from tllllltl. 1/28 Calculate prob of sequence xugx when four letters picked without replacement from {u: 1, f: 2, g: 1, d: 2, x: 6}. 1/396 What is prob of sequence ydy when three letters picked without replacement from xxxdxxqqxyqxqxxxdxyx? 1/1710 Calculate prob of sequence re when two letters picked without replacement from {r: 1, s: 3, z: 6, y: 1, e: 6}. 3/136 Calculate prob of sequence yy when two letters picked without replacement from {y: 3, c: 3}. 1/5 Two letters picked without replacement from {w: 2, x: 11}. What is prob of sequence ww? 1/78 Two letters picked without replacement from {u: 2, z: 4, l: 3, m: 1}. Give prob of sequence ml. 1/30 Calculate prob of sequence mnmi when four letters picked without replacement from mimgmbbmbmmngn. 5/2002 What is prob of sequence nrn when three letters picked without replacement from wcnnrwwznnr? 4/165 Calculate prob of sequence vqr when three letters picked without replacement from crvvqvvvvcqqrqrqc. 3/136 Calculate prob of sequence vl when two letters picked without replacement from {v: 3, l: 2, s: 2, w: 1, o: 1, q: 3}. 1/22 What is prob of sequence ss when two letters picked without replacement from {j: 1, i: 1, s: 3}? 3/10 Two letters picked without replacement from aupypyyyyapyyj. Give prob of sequence yp. 3/26 Four letters picked without replacement from {i: 1, b: 8, m: 10}. What is prob of sequence bmbm? 35/646 Three letters picked without replacement from {p: 1, c: 4, s: 2, x: 1, m: 1}. Give prob of sequence scp. 1/63 Three letters picked without replacement from {q: 3, z: 4, u: 5}. What is prob of sequence uzu? 2/33 What is prob of sequence ss when two letters picked without replacement from aaslsnalaaansnn? 1/35 Three letters picked without replacement from slyrswr. Give prob of sequence ysr. 2/105 Four letters picked without replacement from {l: 12, c: 3, q: 2}. Give prob of sequence qllq. 11/2380 Three letters picked without replacement from {n: 1, r: 1, m: 2, q: 3, f: 4}. Give prob of sequence rff. 2/165 Two letters picked without replacement from komkggogg. What is prob of sequence ko? 1/18 Two letters picked without replacement from bstttktbetttktktttt. Give prob of sequence ke. 1/114 Calculate prob of sequence ele when three letters picked without replacement from {q: 1, a: 1, l: 1, e: 2}. 1/30 Calculate prob of sequence tt when two letters picked without replacement from {m: 4, t: 4, n: 7}. 2/35 Three letters picked without replacement from ozxoxxoqxfxohoxhqo. What is prob of sequence zoo? 5/816 What is prob of sequence pz when two letters picked without replacement from kzktpt? 1/30 What is prob of sequence hpq when three letters picked without replacement from oooonpoppopqhoonpqh? 10/2907 Calculate prob of sequence ja when two letters picked without replacement from {a: 1, i: 3, j: 2, b: 9, h: 2}. 1/136 Three letters picked without replacement from rhkjwjl. Give prob of sequence jlj. 1/105 What is prob of sequence lll when three letters picked without replacement from {l: 4}? 1 What is prob of sequence cc when two letters picked without replacement from {g: 1, c: 2, d: 1, x: 1}? 1/10 Two letters picked without replacement from {h: 2, k: 3}. What is prob of sequence hh? 1/10 What is prob of sequence wofs when four letters picked without replacement from swooxzzzzzxxfzzz? 1/21840 What is prob of sequence veev when four letters picked without replacement from veeveev? 3/35 Three letters picked without replacement from ijwwkbbbbwb. What is prob of sequence jbw? 1/66 Four letters picked without replacement from fyyybyssybbbyofosybf. Give prob of sequence yoby. 7/1938 Two letters picked without replacement from mmiot. What is prob of sequence ot? 1/20 Calculate prob of sequence yv when two letters picked without replacement from yyytv. 3/20 Two letters picked without replacement from qqqpqqppqqqqqqqqqq. What is prob of sequence qp? 5/34 What is prob of sequence ttt when three letters picked without replacement from {r: 4, t: 3, w: 2}? 1/84 Four letters picked without replacement from wewwefwweffeeefwfew. Give prob of sequence fwfw. 35/3876 Three letters picked without replacement from ppppphphp. What is prob of sequence pph? 1/6 Four letters picked without replacement from {u: 2, w: 2, o: 4, e: 2, j: 1, g: 8}. What is prob of sequence ejoe? 1/11628 Calculate prob of sequence orz when three letters picked without replacement from ourorozrllo. 2/165 What is prob of sequence hhym when four letters picked without replacement from mhmmhhhhmmmhzyh? 1/130 What is prob of sequence qq when two letters picked without replacement from {q: 15, s: 3}? 35/51 What is prob of sequence gqa when three letters picked without replacement from {q: 1, f: 1, g: 2, a: 3, b: 12}? 1/969 Four letters picked without replacement from {t: 3, c: 1, u: 4, x: 1, m: 4, d: 5}. Give prob of sequence mxmu. 1/1530 What is prob of sequence dd when two letters picked without replacement from {v: 1, x: 6, s: 3, d: 2}? 1/66 Calculate prob of sequence zr when two letters picked without replacement from {r: 4, y: 2, z: 2}. 1/7 Calculate prob of sequence qcz when three letters picked without replacement from uqcocucczocquc. 1/182 Two letters picked without replacement from {q: 7, m: 1, h: 1}. What is prob of sequence hq? 7/72 Four letters picked without replacement from akkwe. What is prob of sequence awek? 1/60 What is prob of sequence mssm when four letters picked without replacement from smmssmm? 3/35 Calculate prob of sequence nm when two letters picked without replacement from {t: 1, n: 1, m: 5, j: 1, b: 1}. 5/72 Four letters picked without replacement from {k: 5, z: 5, c: 3}. What is prob of sequence kkzz? 10/429 What is prob of sequence nzc when three letters picked without replacement from {z: 6, c: 2, f: 3, n: 4, p: 2}? 1/85 Four letters picked without replacement from {r: 2, v: 2, h: 1, m: 4, u: 3}. Give prob of sequence hmrr. 1/1485 Four letters picked without replacement from {m: 5, e: 1, x: 2, o: 6, c: 1}. Give prob of sequence
{ "pile_set_name": "DM Mathematics" }
n. 5 Let u be (-2 - (-12)/8)*34. Let l = 19 + u. Solve 3*q - l*q - n = 1, 0 = -4*q - n + 14 for q. 3 Let b = -9 + 11. Solve 14 = -b*u - 5*g, 0 = -4*u - 0*g + 2*g - 4 for u. -2 Let q(k) = k**3 - 6*k**2. Let t be q(6). Solve 0 = 4*x + 16, t*d + d - 3*x = 8 for d. -4 Let b(t) = -t**3 + 4*t**2 + 5*t + 2. Let q be b(5). Let i(a) = -12*a + 185. Let z be i(15). Solve -5 = -q*r + r + 2*p, r = z*p + 17 for r. -3 Let m be 27/5 + 8/(-20). Suppose -2*w - 3*w = -3*y - 14, m*w - 16 = 2*y. Solve -5*g - 3*j = -19, -4*j + 24 = w*g + 4 for g. 2 Suppose -76*t = -74*t - 6. Solve -t*m + 0 - 1 = -4*q, -4*q - 4 = -4*m for q. 4 Let d(p) be the first derivative of -p**4/4 + 8*p**3/3 + 4*p + 1. Let o be d(8). Solve -4*l = -5*b + 23, l = -o + 2 for b. 3 Let h be (-56)/70*55/(-2). Solve -4*j = -0*j + 4*y + 4, 2*j + h = 3*y for j. -5 Suppose 1 = 5*a + 4*v - 16, -21 = -3*a + 3*v. Solve -5*s = 4*d, 0*s = -a*d - 2*s + 17 for d. 5 Let s = -14 + 16. Suppose s*i - i = 0. Solve i = -5*r + 4*l - 29, r - 2*l = -7*l for r. -5 Let b be (-91)/(-52) + (-2)/(-8). Solve i - 5*i + c - 8 = 0, -2*i + 2*c + b = 0 for i. -3 Suppose v - 24 = -5*v. Solve n - v*n + 2*y = 12, -n - 4 = -3*y for n. -4 Suppose -2*t = -38 + 34. Solve 0 = -4*q + 3*g - g + 16, 3*g = -t*q for q. 3 Let n be 2/(3 + 7/(-3)). Suppose -3*k + 3*u - 37 = -8*k, 0 = -n*k + 5*u - 5. Solve 3*j + 20 = 5*x - 3, k*x = 4*j + 24 for x. 4 Let n(b) = -b**3 - 3*b**2 - 4*b + 3. Let o be n(-4). Let s = o - 25. Solve x - s = -5*r - 0*r, -4*x = -20 for r. 1 Suppose 3*z - 11 = 22. Solve -3*j = -2*o - z, 5*j - 18 = 4*o - o for j. 3 Suppose -10 = -5*c + 10. Solve 2*s = 0, 0 = 4*x - 2*s + c*s + 12 for x. -3 Let h(f) = f**3 + 2*f**2 - f. Suppose -3 = t - 4*t. Let d be h(t). Solve -u = -5*g + 6 - d, -3*g + 16 = -4*u for g. 0 Suppose 0*z = 3*z - 3. Suppose 3*o + 15 = 3*l, -l - 2*o + 1 = -z. Solve -3*t = l*i - 31, 0*t = -3*t + 2*i + 7 for t. 5 Let r(i) = 9*i. Let y be r(1). Let z be (4/(-6))/((-2)/y). Solve u + 5*d = 27, 7 = -4*u - 0*d + z*d for u. 2 Let v = -19 - -27. Let j = v + -3. Solve -b + 12 = -5*l, -2*l - 4*b = -j*b + 6 for l. -2 Suppose 4*y = 8, 2*y = -2*k + 3*k - 1. Solve -12 = -s + k*z, 5*z = 2*s - 7*s for s. 2 Suppose -v = 4*c - 62, 2*v - 2 = 2. Solve -t - c = 3*t - 5*z, 0 = 4*z + 4 for t. -5 Let y(c) = c - 1. Let b(n) = 4*n - 5. Let r = 7 + -12. Let g(u) = r*y(u) + b(u). Let k be g(-4). Solve 0 = 4*m + x + x + 6, -m + 16 = k*x for m. -4 Suppose -4*d - 19 = -u + d, d - 1 = 5*u. Let k(v) = -4*v. Let x be k(u). Solve -2*o - s = 2*s - 5, x*s - 12 = -4*o for o. 4 Suppose 12 = -0*b + 2*b + m, 4*m + 12 = 4*b. Let i(l) = -l**3 + 7*l**2 - 4*l + 5. Let w be i(b). Solve 5*y = 3*v - w, 0*v - 4*v = 5*y for y. -4 Let v(n) = -n - 9. Let a be v(-13). Suppose 2*g = -f + 6*g + 1, 2*f + 5*g = 2. Solve 4*k + a*z + 4 = 0, -3*k - z = -k - f for k. 2 Let k be 9/15 - (-17)/5. Let t = 0 - -1. Let p be (k - 2 - -1)*t. Solve p*w = 4*v - 8, -5*v - 4*w - 21 = -0*w for v. -1 Let v = 11 + -9. Solve 4*q + 5*n - 12 = 0, 5*n - 9 + 3 = -v*q for q. 3 Let t(w) = 2*w - 6. Let s be t(5). Let l = 8 + 1. Solve -5*q - 2*b = l - 1, -4 = -s*b for q. -2 Suppose 5*v - 24 = -4*h, -4*h = -h - 3. Solve -o - 10 = -3*k - 3, -4*o - v = -4*k for k. 3 Suppose -157 = -3*s + 41. Suppose -6*x - s = -4*m - x, 29 = m + 5*x. Solve o + 2*o + 4*f + m = 0, 5*o = 2*f - 23 for o. -5 Suppose 4*n + 3*a + 4 = 0, -2*n + a = 4*a - 4. Let c be (-3 - n)/((-1)/(-5)). Solve 3*f = -u + 4*u - 12, -c*f + 10 = u for u. 5 Let l(u) = -u + 7. Let k be l(5). Suppose -k*p + 4*p - 4 = 0. Suppose t + p*n + 7 = 0, -n = -5*t + 18 + 2. Solve -5*z + d + 5 = -t*d, -4*d - 20 = 0 for z. -3 Suppose 3*r - 12 = -2*o + 5*r, -34 = -5*o + r. Suppose 0 = 8*q - 5*q + 12. Let m = o + q. Solve v = -0*v + m*t - 6, 4*v = t - 13 for v. -3 Suppose -65 = 4*h - 9*h. Solve -q = -5, t - h = 4*t - 2*q for t. -1 Let k be (8 - -5) + (0 - 1). Let r = -7 + k. Let q = 9 - r. Solve 4*x = -q*c + 21 + 19, 3*c + 5 = 4*x for c. 5 Let r(j) = -9*j - 16. Let d be r(-2). Solve -10 = d*o + 3*v + v, -5*v = o + 11 for o. -1 Suppose -2*d + 9 - 3 = 0. Solve 0*x - a = -2*x + d, -3*x + 5*a + 15 = 0 for x. 0 Let i(s) = -s - 2. Let l be i(-4). Solve 5*n = 2*d + 4, 5*n + 0*d - 16 = -l*d for n. 2 Let m(g) = -g**3 - 7*g**2 + 10*g + 12. Let a be m(-8). Let x be -2*a/((-8)/(-6)). Let d be 1/(x/(-9) + 1). Solve 2*b - 3*b = 2*c - d, 3*c - 3 = -b for b. 3 Suppose -14 + 4 = -5*g. Solve -v = g*v + 4*a + 5, 11 = -3*v + 2*a for v. -3 Let l(g) = 2*g**2 - 2. Suppose 2*u + 0*u = -4. Let m be l(u). Solve -2*v - c = 7, 0 = -5*v - 3*c - 12 - m for v. -3 Let c(j) = 5*j**3 - j**2 - 4*j + 1. Let z(y) = 2*y**3 - 2*y + 1. Let a(n) = 3*c(n) - 7*z(n). Let u be a(3). Solve -2*q = 2*p - 5*q - u, -5*q = -5*p for p. -2 Let y(z) = -z**2 + 5*z + 4. Let p be y(0). Solve 0 = -5*f - p*t + 2 - 0, -f = -4*t + 14 for f. -2 Let f be 2/(-5)*(7 + 3). Let y(s) = -2*s - 3. Let r be y(f). Solve r*o = 2*p - 35, 2*o + 35 = -0*p + 5*p for p. 5 Suppose 2*f = -2*x + 3 - 11, 0 = 5*f + 4*x + 20. Let b = f + 8. Solve -2*l + 9 = -1, 40 = b*k + 4*l for k. 5 Suppose -1 = -w + 2. Let v(s) = s**3 - 3*s**2 + s + 3. Let z be v(w). Suppose f - z = -2. Solve -3*m = -f*c - 4, 14 = -5*c + m - 2 for c. -4 Suppose -3*l - 24 = -4*j, -2*j - 3*l - 10 = l. Let w be -2 + 0 + j - -1. Solve b = k - 8, 2*b - w = -4*k - 0 for k. 3 Suppose -7 = -4*o + 1. Solve -b - 10 = 4*z, 1 + 4 = -o*b - 3*z for b. 2 Suppose 6 = 2*v, -3*a - 2*v + 108 = -v. Suppose d + 0*d = a. Let y be (-68)/(-7) + 10/d. Solve 0*i - 2*i = x, x = 3*i - y for x. -4 Suppose -w - 25 = -6*w. Solve -4*k = -x - 2*x + 10, -w*x - 14 = k for k. -4 Suppose f - 6 = -2*f. Let u be (-1)/2*(f - 2). Suppose 4 = k + 2*s, u = -2*k + 5*s + 6 - 16. Solve r + t = -7, 6*r - 2*r + 2*t + 22 = k for r. -4 Suppose -14 = -8*t + t. Solve 2*h = 2*w + 3*h + 2, -w + h + t = 0 for w. 0 Suppose 4*g - 4 + 0 = 0. Let n be 2/3 - 4/(-3). Let x be (n - -1) + (1 - g). Solve 2*t - 14 = -3*m, -4*t + x = -5*m - 3 for t. 4 Let t = 77 - 75. Solve 1 = -4*d - t*u - 13, -2*d - 5*u = 11 for d. -3 Let d = 74 + -70. Solve 0 = o - l + 8, -d*o - 3*l - 27 = -6*l for o. -3 Suppose -4*d - 4*z + 36 = -0*d, 4*z + 27 = 3*d. Let n = -27 + 50. Suppose 0 = -l + 2*u + 11, -2*u - 2 - 3 = l. Solve 36 = 3*w + l*q + d, n = 3*w + 2*q for w. 5 Let h(g) = -g**3 - 3*g**2 + 6*g + 10. Let d be h(-4). Solve 0 = 4*t - 3*r - 20, d*r = -3*t + 2 + 13 for t. 5 Suppose -16 = j - 5*j. Let f be (-1*j)/(-1) - 1. Solve f*w - 7 = 4*l, 0*l = 2*l - w + 3 for l. -1 Let z = 31 + -22. Let p be (-3)/z*0 - -3. Solve p*j - 21 = 3*o - j, o = 5*j - 18 for o. -3 Let h be (-3 - (-15)/6)*-6. Solve 0 = 3*i - 5*c + 3 + 7, 0 = -h*i + 3*c for i. 5 Suppose -2*r + 21 = 11. Solve z - 20 = r*i, -3*i - z - 8 = -i for i. -4 Let k(p) = -3*p + 6. Let u be k(-7). Let a = u - 17. Let y be (35/(-21))/((-2)/24). Solve -5*g - 2*c + y = 0, 4*c + 30 - a = 5*g for g. 4 Suppose -4*k = 4*y + 8, k - y = y - 8. Let d be 5 - 4/(-16)*k. Solve 4*h + d*a - 10 = 6*h, 2 = -h - a for h. -3 Let n(f) = -8*f + 2. Let a(g) = -17*g + 3. Let t(d) = -2*a(d) + 5*n(d). Let o be t(-6). Solve -4*x + 40 = 5*q - x, -3*q = 5*x - o for q. 5 Suppose 2*z - 7 = z. Solve -2*u = -5*j - 9, z = -5*u - 8 for j. -3 Let t(d) = 5*d - 105. Let w be t(22). Solve 2*k + 0*g = -2*g - 6, -9 = w*k + 2*g for k. -1 Let s be ((-46)/(-6))/((-2)/(-6)). Solve -j = -5*v + s, -2*v = -0*v - j - 8 for v. 5 Let r = 3 + 0. Solve r*f = -b - b + 10, 4*f - 25 = -5*b for b. 5 Let x be (-2)/(-2)*1*-10. Let z = 22 + x. Let s = 6 + 2. Solve m = -j, 3*m - s*m = 2*j - z for j. -4 Suppose 3*x - 12 - 16 = -5*b, 4*b + 96 = 5*x. Let s be (4/x)/((-2)/(-152)). Solve -3*p + p + 6 = -2*k, s = -4*k - 3*p for k. -4 Let d = -19 - -27. Solve -2*q = -z + 11, 2*q = -d*z + 4*z - 6 for z. 1 Let t(c) = 2*c - 1. Let m be t(2). Suppose -i = m*i. Solve 0*y - 3*s = 5*y + 29, 3*y + 2*s + 18 = i for y. -4 Let x be 2/(-5) + 66/15. Suppose -x = -2*n - 0. Solve 5*k - 5 = -m + 3*k, -n*k = 3*m - 7 for m. 1 Let l be (-4)/(-14) + (-66)/(-14). Suppose -l*x = -7*x + 4. Solve -5*p + 4 = -x*z, 0 = -3*p + z + 3 for p. 2 Let q(r) = -r**3 - 3*r**2 + 3*r - 1. Let m be q(-4). Let y be -1*(9/m - 3). Suppose y*i = 2*i - 12. Solve -b - 1 = -z - 5, i = -2*z for b. 1 Let f(i) = i**2 + 4*i + 2. Let k be f(-6). Solve 5*x = -2*y + k, x = 3*y + 10 + 3 for x. 4 Let n be 8*(2 + (-12)/8). Suppo
{ "pile_set_name": "DM Mathematics" }
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{ "pile_set_name": "DM Mathematics" }
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9 Wha
{ "pile_set_name": "DM Mathematics" }
? 0.5131779 How many centuries are there in 4.68221 decades? 0.468221 What is 500468.5l in millilitres? 500468500 Convert 474552.1 litres to millilitres. 474552100 What is three fifths of a litre in millilitres? 600 How many millilitres are there in five eighths of a litre? 625 Convert 2887.56 millilitres to litres. 2.88756 Convert 763.7809ml to litres. 0.7637809 How many millilitres are there in 2989.398 litres? 2989398 What is 0.4508035um in meters? 0.0000004508035 How many centimeters are there in one sixteenth of a kilometer? 6250 How many grams are there in 3/10 of a kilogram? 300 What is 17/2 of a millennium in centuries? 85 How many kilograms are there in 8.501925 micrograms? 0.000000008501925 How many litres are there in 3687.803ml? 3.687803 Convert 918.6525 years to centuries. 9.186525 How many centimeters are there in 923.116nm? 0.0000923116 How many micrograms are there in thirty-one fifths of a milligram? 6200 How many millilitres are there in sixty-nine halves of a litre? 34500 How many millilitres are there in 767.1513 litres? 767151.3 What is 4.544959ns in seconds? 0.000000004544959 How many micrograms are there in seven quarters of a milligram? 1750 How many micrometers are there in twenty-one halves of a millimeter? 10500 How many centuries are there in 42/5 of a millennium? 84 How many millilitres are there in 50313.92 litres? 50313920 What is 3.039514g in nanograms? 3039514000 What is twenty-five halves of a litre in millilitres? 12500 How many months are there in twenty-seven quarters of a decade? 810 How many seconds are there in 7/4 of a minute? 105 What is seven halves of a meter in millimeters? 3500 How many milligrams are there in 6475.266t? 6475266000000 What is 919.9577m in millimeters? 919957.7 What is 43/4 of a second in milliseconds? 10750 How many kilograms are there in twenty-nine halves of a tonne? 14500 How many days are there in 24.9022647ms? 0.00000028822065625 What is 2.514504mg in grams? 0.002514504 Convert 0.2803211 litres to millilitres. 280.3211 Convert 4.813871 nanograms to micrograms. 0.004813871 What is 1/10 of a kilometer in millimeters? 100000 How many centimeters are there in 0.1265189km? 12651.89 How many nanoseconds are there in 3/40 of a millisecond? 75000 Convert 2111.604 meters to micrometers. 2111604000 How many minutes are there in two fifteenths of a hour? 8 How many minutes are there in three fifths of a day? 864 What is one sixth of a year in months? 2 Convert 69.85986 microseconds to seconds. 0.00006985986 How many nanograms are there in twenty-seven fifths of a microgram? 5400 How many micrometers are there in 3/5 of a millimeter? 600 How many millilitres are there in one fifth of a litre? 200 How many centimeters are there in 26/5 of a meter? 520 Convert 8.644659 millilitres to litres. 0.008644659 Convert 10.03812 tonnes to milligrams. 10038120000 Convert 95760.8 litres to millilitres. 95760800 How many litres are there in 8369.513 millilitres? 8.369513 How many micrograms are there in 0.1408327t? 140832700000 How many seconds are there in fourty-one halves of a hour? 73800 How many micrograms are there in eleven tenths of a milligram? 1100 What is 3/10 of a tonne in kilograms? 300 Convert 29.58001 hours to minutes. 1774.8006 What is 7691.468 kilometers in centimeters? 769146800 How many micrograms are there in 0.4677171 grams? 467717.1 What is 0.4416074um in nanometers? 441.6074 Convert 533.76s to nanoseconds. 533760000000 What is 4157.614l in millilitres? 4157614 How many nanograms are there in 5/4 of a microgram? 1250 How many decades are there in 55/2 of a century? 275 What is 796779.9 months in millennia? 66.398325 What is 76824.7us in seconds? 0.0768247 How many nanoseconds are there in 859585.6 days? 74268195840000000000 What is eleven halves of a kilogram in grams? 5500 How many millennia are there in 62568.32 centuries? 6256.832 What is 59977.97mg in tonnes? 0.00005997797 How many meters are there in 3/5 of a kilometer? 600 What is 0.633617 millilitres in litres? 0.000633617 How many milligrams are there in 918.6077 nanograms? 0.0009186077 How many micrograms are there in 13/4 of a milligram? 3250 How many nanograms are there in 81/4 of a microgram? 20250 What is 1/9 of a week in seconds? 67200 Convert 6.939876 nanometers to kilometers. 0.000000000006939876 How many months are there in 3/8 of a century? 450 How many decades are there in five quarters of a millennium? 125 How many millimeters are there in 1219.88m? 1219880 Convert 211.008 litres to millilitres. 211008 How many millimeters are there in eleven tenths of a centimeter? 11 How many millimeters are there in 81/2 of a centimeter? 405 What is fourty-two fifths of a litre in millilitres? 8400 How many millilitres are there in 1/4 of a litre? 250 Convert 87.45918 tonnes to nanograms. 87459180000000000 How many days are there in eighteen sevenths of a week? 18 How many kilograms are there in eighty-one quarters of a tonne? 20250 Convert 5500.38 months to decades. 45.8365 How many micrograms are there in 3/50 of a gram? 60000 What is 2.297974 milligrams in micrograms? 2297.974 How many nanograms are there in one quarter of a microgram? 250 What is 5/4 of a kilogram in grams? 1250 What is three fifths of a day in minutes? 864 Convert 282.0477 centimeters to micrometers. 2820477 What is 228210.8 millennia in decades? 22821080 Convert 5.20953 nanometers to centimeters. 0.000000520953 Convert 320649.6 centuries to millennia. 32064.96 How many litres are there in 9.658203ml? 0.009658203 What is one quarter of a second in milliseconds? 250 What is 73/5 of a millimeter in micrometers? 14600 How many kilograms are there in 71342.5mg? 0.0713425 Convert 3.354964 micrograms to milligrams. 0.003354964 Convert 4.57883 millilitres to litres. 0.00457883 How many nanograms are there in one sixteenth of a milligram? 62500 Convert 32509.95 minutes to hours. 541.8325 How many milligrams are there in one quarter of a gram? 250 Convert 89.5052 seconds to microseconds. 89505200 Convert 398040.9l to millilitres. 398040900 How many years are there in 6/25 of a century? 24 Convert 0.3066215nm to centimeters. 0.00000003066215 How many millennia are there in 1.1447883 months? 0.000095399025 How many seconds are there in 38269.67 hours? 137770812 How many nanograms are there in 0.0951202 kilograms? 95120200000 What is three tenths of a litre in millilitres? 300 What is 0.9806456 grams in nanograms? 980645600 How many millimeters are there in 4.050057nm? 0.000004050057 How many seconds are there in 0.0318394 weeks? 19256.46912 What is 0.1365477 millilitres in litres? 0.0001365477 How many nanograms are there in thirty-one fifths of a microgram? 6200 Convert 0.2201397 millilitres to litres. 0.0002201397 How many months are there in 1/4 of a year? 3 What is 2/21 of a week in hours? 16 Convert 56.41216 litres to millilitres. 56412.16 How many millilitres are there in 5/8 of a litre? 625 How many millilitres are there in 6/5 of a litre? 1200 How many nanoseconds are there in 245.0165us? 245016.5 What is fourty-four fifths of a millennium in years? 8800 Convert 7025.588 hours to seconds. 25292116.8 How many microseconds are there in 3/8 of a millisecond? 375 What is 1/10 of a centimeter in micrometers? 1000 How many millilitres are there in 0.6951808 litres? 695.1808 What is 7.410544ng in micrograms? 0.007410544 How many millilitres are there in one twentieth of a litre? 50 How many years are there in 1856.1747 months? 154.681225 What is eleven halves of a centimeter in micrometers? 55000 How many centuries are there in 3/10 of a millennium? 3 Convert 227140.7mm to nanometers. 227140700000 How many minutes are there in three fifths of a week? 6048 Convert 4219.697um to meters. 0.004219697 What is 9.95683mm in nanometers? 9956830 What is 27/2 of a millimeter in micrometers? 13500 Convert 0.3220561 nanometers to micrometers. 0.0003220561 What is 5/4 of a gram in milligrams? 1250 Convert 822475.1 years to decades. 82247.51 What is seven halves of a litre in millilitres? 3500 Convert 137.8292 kilograms to grams. 137829.2 What is 3/10 of a litre in millilitres? 300 Convert 0.8234554 meters to millimeters. 823.4554 What is 0.6685921 millilitres in litres?
{ "pile_set_name": "DM Mathematics" }
- 1). 141*w**2 - 18*w Expand (o + 2*o - o)*(4*o + 4*o - 4*o) - 4*o**2 - 2*o**2 + 0*o**2 + (-1 + o + 1)*(-5*o + 2*o + 2*o). o**2 Expand (-2*b + 5*b - 5*b)*(5*b**4 + 10*b**4 + 0*b**4) - b**5 - 7*b**5 + 2*b**5. -36*b**5 Expand (315 + 282*o**2 - 315)*(-3*o + 2*o + 0*o). -282*o**3 Expand (3 + 1 - 6)*(7 - 2 + 3)*(m - 17 + 17). -16*m Expand 1 + 2*x - 1 + (-4*x - 5*x + 5*x)*(-11 - 27 - 13)*(-3 - 2 + 3). -406*x Expand (3*o - 3*o + 2*o)*(0 + 1 - 11) - 8 - 3*o + 0*o + 7*o + (0*o + 2*o - 3*o)*(-2 + 0 + 3). -17*o - 8 Expand (2*y**3 + 3*y**2 - 3*y**2)*(716 + 545 + 428 + 876 + 946). 7022*y**3 Expand (w + 0*w + 8*w)*(14*w**3 - 266*w + 266*w). 126*w**4 Expand 0*b**3 - 2*b**3 - 5*b**3 + (-b**2 - b**2 + 0*b**2)*(2*b + 3*b - 3*b) - 59*b**3 + 26*b**3 + 22*b**3. -22*b**3 Expand (0*a**2 + 2*a**2 - 4*a**2)*(-2 + 2 + a) + a**2 - a**2 - a**3 - 2 + 4*a**3 + 0*a**3 - 2*a**3 - 5*a**3 + 6*a**3 - 3*a**3 + (-a + 2 - 2)*(-a - a**2 + a). -2*a**3 - 2 Expand (-w + 1 - 1)*(0 + w + 0) - 9867 + 10*w**2 - 6*w**2 + 9833 + w. 3*w**2 + w - 34 Expand (12*o - 9*o + 16*o)*(0 + 0 - 1) + 5*o + 4 - 4 + (o - 3*o + 0*o)*(-1 + 1 - 1) + o - 1 + 1. -11*o Expand (2 - 1 + 2)*(2*p**3 - p + p)*(-8*p + 57*p + 12*p). 366*p**4 Expand 3912*w**3 - 3912*w**3 - 124*w**4 + (-2*w**3 - 3*w**2 + 3*w**2)*(-2 + 2 + 2*w). -128*w**4 Expand (-3 + 6 + 1)*(2*j + 0*j - 3*j) + 27*j - 14*j + 22*j + (-3 + 0 + 1)*(j + 4*j - 3*j). 27*j Expand (-78 + 160 - 212 - 252)*(-a**3 - a**2 + a**2). 382*a**3 Expand (83*w**2 + 77*w**2 - 162*w**2)*(12*w**3 + 0*w**2 + 0*w**2). -24*w**5 Expand (-4 + 1 + 1 + (-3 - 2 + 4)*(-3 + 3 - 2) - 1 + 0 + 0 - 4 + 2 + 3 - 4 + 2 + 1 + (-1 + 2 + 2)*(5 + 3 - 5) + 1 - 2 + 2)*(-1 - f + 1). -9*f Expand (-6*z**2 + 4*z**2 + z**2)*(-57*z**3 + 86*z**3 + 64*z**3 + (-2 + 3 - 2*z - 3)*(-z**2 + 0*z + 0*z)). -95*z**5 - 2*z**4 Expand 15*z + 23*z - 16*z + (4*z - 3*z - 2*z)*(2 - 12 - 1). 33*z Expand v**3 + 5 - v**2 - 5 + 285*v - 12*v**3 - 285*v + 3*v**3 - 4*v**3 + 2*v**3 + (-2 + 2*v**3 + 2)*(-2 + 5 - 1) + 2*v**2 - 2*v**2 - v**3 - v**3 - v**3 + v**3. -8*v**3 - v**2 Expand (0*y - 4*y - 6*y)*(0*y + 7*y + y) + (6*y + 2*y - 3*y)*(2 - 2 + 2*y) - y**2 + 4*y**2 - 4*y**2. -71*y**2 Expand (2 + 4 - 4)*(-m**2 + m**2 + 2*m**2)*(1 - 1 + 2*m)*(-94 - 3 - 83). -1440*m**3 Expand (2*p**2 + 2*p**2 - 2*p**2)*(-5*p - 2*p + 4*p)*(-10*p - 208 + 208). 60*p**4 Expand (57*q**3 + 3*q - 39*q**3 + 25*q**3)*(0 + 0 + 1 + (0 + 0 + 1)*(-2 - 1 + 4) + 4 - 2 - 1 + 2 - 1 + 0). 172*q**3 + 12*q Expand t**3 - 2 + 2 + (-6*t + 4*t + 4*t)*(t**2 - t**2 - 19*t**2). -37*t**3 Expand (0 + n + 0)*(-2 - 3 + 6)*((1 - 5 + 3)*(-5*n + 8*n + 3*n) + 5*n + 5 - 5). -n**2 Expand -3 + 3*m**5 + 3 + 2*m**5 - m**5 + m**5 + (-m**3 + m**4 + m**3)*(-m - 3*m + 3*m) + 10*m**5 - 23*m**5 - 23*m**5. -32*m**5 Expand (4*g - 5*g + 2*g)*(416 + 186 - 108)*(1 - 1 - g). -494*g**2 Expand (-2*o + 3*o**2 + 2*o)*(5*o**2 - 24*o + 24*o) + (-8*o - 11*o - o)*(-3*o**3 - o**3 + 2*o**3). 55*o**4 Expand (16*p**2 + 19*p**2 - 3 + 2)*(5*p + 0*p - 2*p). 105*p**3 - 3*p Expand (0*l**3 + l**4 + 0*l**3)*(-191 - 151 - 58)*(-2 + 3 + 1). -800*l**4 Expand (1470*i - 30*i**2 - 1470*i)*(0 + 0 + 2*i - 2 - 2*i + 2 + (1 - 1 + i)*(-1 - 1 + 1) + 3*i - 2*i - 5*i). 150*i**3 Expand -5*a + a + 3*a + 2*a - 3*a + 2*a + (0*a + 0*a + a)*(-3 - 1 + 3) - 2*a + 0 + 0 + 20*a + 2*a + 4*a. 23*a Expand (3*n - 2*n - 3*n)*(2*n**3 + 1 - 1 + (n**3 - n**3 - 2*n**3)*(3 - 5 + 0) - 25*n**3 - 4*n**3 - 2*n**3) + 63*n**4 - 35*n**4 + 0*n + n. 78*n**4 + n Expand (-16*j**2 - 8*j + 8*j)*(-4*j - 7*j + 0*j) + (2*j - 2*j - 2*j**2)*(j + 3*j - 2*j) - 2*j**3 + 0*j + 0*j - 5*j - 2*j**3 + 5*j - j**3 - 4*j**3 + 4*j**3. 167*j**3 Expand (0*t**2 - t**2 + 2*t**2)*(2*t + t - 4*t) - 5434*t**2 + 5434*t**2 + 2*t**3 - 72. t**3 - 72 Expand 2*s**3 + 4*s**2 - 4*s**2 + (3*s**2 - s**2 + 0*s**2)*(-1 - 5 + 4)*(-4 + 3 - 1)*(0 - 3*s + 0). -22*s**3 Expand (-3 + 1 + 3)*(3*i**2 + 0*i**2 - 2*i**2)*(-66*i - 27*i - 88*i - 2). -181*i**3 - 2*i**2 Expand 5*p**2 + 9*p**2 - 2*p**2 + (0*p + p + p)*(0*p + 2*p + 0*p) + 11*p**2 - 8*p**2 + 10*p**2. 29*p**2 Expand (-4*t - 12*t + 18*t + 2*t - 2 + 2 - t + 2*t - 3*t + (4 - 3 - 2)*(-t + 0*t + 2*t) + 2*t - 4 + 4 - 3*t + 0*t + 5*t)*(1 + 8 + 0). 45*t Expand (4*p + 1 - 1)*((-1 + 3 - 1)*(5*p**2 - 5*p**2 + 4*p**4) + 3*p**4 - 3*p**4 - 3*p**4) - 2*p**5 + 6*p**5 - 3*p**5. 5*p**5 Expand (-2*f**2 + 3 - 3)*(3*f - f + 8*f) - 15*f - 5*f + 2*f**3 + 13*f. -18*f**3 - 7*f Expand (-76 + 90 + 174)*(-4*f + f + 4*f). 188*f Expand (2 + 5 - 9)*(0*n**2 + 0*n**2 + 3*n**3)*(7 + 0 + 1). -48*n**3 Expand (125*c - 9*c - 2*c)*(c + 0*c - 2*c)*(-3 - 3*c + 3). 342*c**3 Expand 120 + z - 97 + z + (0 + 0 + z)*(-4 + 2 + 1) + z + z + 0*z - 2*z - 2*z + 5*z + z + 0 + 0 - 3*z + 4*z + z. 7*z + 23 Expand -z - z - 3*z + 3 - 4*z - 3 + (-2 + 0 + 0)*(-3*z + 4*z - 2*z) - 3 + 3 + 2*z + (-z + 2*z - 3*z)*(-1 - 2 + 1). -z Expand (-4 - 1 + 2)*(-4 - 2 + 3)*(-w**4 - 7*w**4 + 0*w**4). -72*w**4 Expand (-3*m**4 + 2*m**4 + 0*m**4)*(-3 + 3 + 1)*(-523 - 25 - 344 + 123). 769*m**4 Expand (-13*t + 215 - 215)*(2*t - 3*t - 2*t)*(-2*t + 0*t - 3*t). -195*t**3 Expand (2*t - 2*t + t**2)*(-4*t**3 - 262 - 10*t + 262). -4*t**5 - 10*t**3 Expand (-2*d + 3*d + d)*(-2 + 1 + 3) - 1629*d + 516*d + 830*d. -279*d Expand 18*v - 2*v**4 - v**3 - 18*v + (5*v**2 + 7 - 7)*(0*v**2 + 4*v**2 - 5*v**2). -7*v**4 - v**3 Expand 0*v**2 - v**2 + 0*v**2 + 34*v**2 + 20*v**2 + 18*v**2 + (3*v - 5*v + 4*v)*(-2*v - 2*v + 2*v). 67*v**2 Expand (8*n - 12*n + 25*n)*(-5 + 3 + 3). 21*n Expand 4*z**4 - z**4 - 5*z**4 + (-3*z - 17 + 17)*(2*z**2 - 2*z**2 - z**3) + (7*z**4 + 9*z - 9*z)*(-2 - 2 + 6) - 5*z**4 + 0*z**4 + 2*z**4. 12*z**4 Expand 10 - 2*a**3 - 10 + (a - 4 + 4)*(a - a - 3*a)*(a - 4*a + a). 4*a**3 Expand 5*z**4 - z**4 + 0*z**4 + (-13*z + 13*z - z**4)*(-2 - 1 + 1). 6*z**4 Expand 0*n - 2*n + 2*n**4 + n**4 + (4*n - 4*n - 2*n**3)*(4*n - 11*n + 13*n) + 3*n**4 - n**4 + 3*n**4. -4*n**4 - 2*n Expand (p - 2*p + 3*p)*(10 - 10 - 10*p**3)*(-5*p + 0*p + 4*p) + (-2 + 2 + 2*p)*(-p + p**4 + p). 22*p**5 Expand (717 + 327 + 257 + 36)*(-3*x + x + x). -1337*x Expand (4*t**4 - 3*t**4 - 7*t**4)*(-4 - 24 + 6). 132*t**4 Expand (-27*a + a + a)*(4 - 6 + 1) + (-2 + 1 - 1)*(-2*a + 2*a + 5*a). 15*a Expand (0 + 0 + 2*g)*(-5 + 5 - 6*g)*(-19*g + 21*g + 23*g). -300*g**3 Expand (3*y + 13*y - 8*y)*(4*y + 4*y - y). 56*y**2 Expand -2*r + 1 + 3*r + 178*r**3 - 184*r**3 - r + r - r**3 + 1 + r**3 - 1 + (5*r**2 - 5*r**2 + 2*r**3)*(-4 - 2 + 5). -8*r**3 + r + 1 Expand -u**4 + 4*u**2 - 101*u**5 + 4*u**2 + 102*u**5 - 3*u**5 - 4*u**2 + 4*u**2 + (3*u - 3*u - u)*(u**4 + 3*u - 3*u). -3*u**5 - u**4 + 8*u**2 Expand (-2 - 1 + 5)*(-4*g + 0*g + 2*g) + (-3 + 5 + 1)*(0*g + 0*g - g) + (-3 + 5 + 0)*(-5*g + 7*g + 9*g) + 4*g - 6*g + 4*g. 17*g Expand (3*b**3 + 4*b**3 + 0*b**3)*(-2 - 2 + 2 + (2 + 1 - 2)*(1 - 3 + 1) + 2 + 0 + 1 + (4 - 1 - 5)*(0 - 7 - 2)). 126*b**3 Expand (-34*r**2 - 9*r**4 + 34*r**2)*(-101 + 10*r + 101). -90*r**5 Expand 4*l + 3*l**3 - 4*l + (3 - 3 + l**2)*(-7*l + 2*l + 3*l) + (2*l**2 - 11*l**2 - l**2)*(2*l - 4 + 4). -19*l**3 Expand (-2*o**2 - 2 + 2)*(o - 2*o + 2*o + (-1 + 2 - 2)*(o + 0 + 0) - o - 1 + 1 + 5 - 5 - o - 2*o + 1 - 1 + (-11*o + 704 - 704)*(2 + 1 + 0)). 74*o**3 Expand -k**4 + 2*k**2 + 2*k**2 + 2*k**4 + (6 + 7 - 5)*(3*k**4 - 2*k**4 - 3*k**4). -15*k**4 + 4*k**2 Expand ((0*d**2 - 3*d**2 + d**2)*(-2*d**3 - 2*d**3 + 3*d**3) - d + 17*d**5 - 16*d**5 - 11*d**5 + (-2*d**3 - 3*d + 3*d)*(-2 - 2*d**2 + 2))*(1 + 0 + 1). -8*d**5 - 2*d Expand (-9 + 9 + a)*(59 - 59 + 69*a). 69*a**2 Expand 44*a + 10*a - 16*a + 0*a - 3*a - 1 + 5*a - 2*a + 1 - 1 + (0 + a + 0)*(-2 + 2 + 1). 39*a - 1 Expand (2 + 1 - 1)*((0 + 0 + 2)*(2*s + 4 - 4) + 2 - 2 - 3*s). 2*s Expand (3 - 3 - w**2)*(-1914*w**2 + 959*w**2 + 955*w**2 + 76*w**3). -76*w**5 Expand (3*p**2 + p**2 - 3*p**2)*(p - 3*p + 4*p**2 - 8*p**2) + (-1 + 1 - 1)*(4 + p**4 - 4) + 16 - 20*p**4 - 16. -25*p**4 - 2*p**3 Expand (121*z**2 - 31*z**2 + 76*z**2)*(3*z - z - 3*z). -166*z**3 Expand r**3 - r**3 - 3*r**3 + (-3*r**2 + r**2 + 3*r**2)*((1 - 1 - 6)*(r + 4 - 4) + 4*r + 8 - 8). -5*r**3 Expand 3362 + 93*u**5 - 3363 + 99*u**5 + (u**5 - 2*u**5 + 0*u**5)*(3 - 2 - 2). 193*u**5 - 1 Expand -1 - 2*r**4 + 1 + (5*r**2 - 4*r**2 + 0*r**2)*(-5*r**2 + 0*r**2 + 3*r**2) + 20*r**4 + 18*r**4 + 8*r - 32*r**4 + r**2. 2*r**4 + r**2 + 8*r Expand (3*m**3 + 0*m**3 - 2*m**3)*(2 + 17 - 4). 15*m**3 Expand
{ "pile_set_name": "DM Mathematics" }
f). 2 Let q(t) = t**2 + 11*t - 6*t**2 + 16 - t**2 + 7*t**2. Let d be q(-10). Let f be 7/((-14)/d)*1. Let c(i) = -i**3 - 3*i**2 - 4*i - 1. What is c(f)? 11 Let n(s) = -3*s. Let h(a) = 10*a. Let o(p) = -4*h(p) - 11*n(p). Suppose -24*i - 23*i = 0. Let m be -1*(-7 - -3 - i). What is o(m)? -28 Let p(x) = x**2 - 8*x + 1. Let g = 180 - 86. Suppose 2*d + 80 = g. What is p(d)? -6 Let z(k) = -k**2 - 39*k - 70. Let n(v) = 56*v + 2483. Let s be n(-45). Give z(s). 4 Let u(k) be the first derivative of k**4/4 - 11*k**3/3 + 13*k**2/2 - 3*k + 383. Calculate u(10). 27 Let w(m) be the second derivative of m**4/4 + m**3/2 - 7*m**2/2 + 4375*m. Give w(3). 29 Let c(o) be the second derivative of -o**8/6720 - o**7/630 + o**6/144 + o**5/60 - o**4 - o - 53. Let w(z) be the third derivative of c(z). Calculate w(-5). 2 Let c(i) = 21*i - 10. Let j be c(4). Let l = 68 - j. Let h(w) = w**2 + 6*w + 3. Determine h(l). 3 Let h(f) = -f**3 - 3*f**2 + 14*f + 30. Let w be h(-5). Let k(g) = w*g - 2 + 6*g + g - 18*g. Give k(-1). -1 Suppose -o + 1 = -1. Let d be (4 - (6 - o)) + 2. Let y(g) be the second derivative of -g**3/3 - g**2 + 4*g + 25. Determine y(d). -6 Let b(q) = -6*q + 16. Let y be b(4). Let h(i) be the first derivative of i**3/3 + 9*i**2/2 - 7*i - 126. Determine h(y). -15 Let n(c) = -c - 4. Let v(a) = a + 5. Suppose 3*m = -w + 3*w + 15, 0 = 2*m - w - 10. Let z(h) = m*v(h) + 6*n(h). Let f be (-10)/(-2)*-3*1/3. Calculate z(f). 6 Let m(k) be the second derivative of -1/12*k**4 + 0*k**2 + 1/20*k**5 + 0 + 0*k**3 - 113*k. Let f(t) = -t**3 + t**2 + t. Let j be f(0). Determine m(j). 0 Let o(q) = -q**2 + 20*q - 2. Let s(y) = -3*y**2 + 45*y - 3. Let k(a) = -5*o(a) + 2*s(a). Determine k(-8). 20 Suppose 4*l + 3*x = -2, -2*l - 3*x = -6*l - 14. Let k(b) = -2*b**3 - 2*b**2 + b + 7. Calculate k(l). 13 Let k(p) = p**3 - 5*p**2 - 4*p - 3. Let u = -42 - -64. Suppose 5*y + 207 = u. Let l = 43 + y. What is k(l)? 9 Let i(o) be the third derivative of -o**7/1008 - 77*o**5/60 - o**2 - 14. Let d(a) be the third derivative of i(a). Give d(-1). 5 Suppose -4*w + w = 21*w. Suppose 5*l - 43 = 3*d - 54, 3*l - 3*d + 9 = w. Let c(j) = 9*j - 2. What is c(l)? -11 Let p = -628 - -626. Let i(f) = -20*f + 6. Let b(r) = -r - 3. Let v(z) = 2*b(z) + i(z). Calculate v(p). 44 Let i(m) = 3*m + 9. Let z = 5 - 2. Let u = 191 + -187. Let o(n) = -2*n - 8. Let d(l) = u*o(l) + z*i(l). Calculate d(4). -1 Let c = -9 - -24. Suppose j - 6 + c = 0. Let b be j/6 - (-6)/(-4). Let i(r) = r**2 - 2*r - 3. What is i(b)? 12 Let z(b) = 7*b + 4. Suppose 0 = -3*d - 2*d + 25, 5*v = -2*d - 15. Let k be (-9)/v*20/12. Determine z(k). 25 Let d(w) = 76*w - 110. Let g(f) = -63*f + 108. Let p(c) = -4*d(c) - 5*g(c). Give p(8). -12 Let t be (-2)/7 + 116/14. Let j be 1 + (t - (-5 - 0)). Let z(w) = -j + 5*w - 4*w + 12 + 7*w. Determine z(-2). -18 Let g(s) = -13*s**3 - s - 1. Let t be 17/(0 + (-3)/9). Let f = 55 + t. Suppose 6 + 10 = -p + 5*h, -p + h = f. Determine g(p). 13 Let k(f) = -f**3 - 16*f**2 + 15*f - 27. Suppose -2*a + i - 36 = 0, -4*i + 8 + 68 = -4*a. Determine k(a). 7 Let t be 19 + -8*(-2)/4. Let q = t - 63. Let i = 44 + q. Let z(v) = v**3 - 3*v**2 - 5*v - 2. Determine z(i). -6 Suppose 5*r = 10*r - 60. Suppose -r*z = -17*z + 25. Let x(d) = -6*d + 3*d**3 + 3*d**3 - z*d**2 - 8 - 5*d**3. What is x(6)? -8 Let c(a) = -12*a**2 - a + 1. Let x(p) = -2*p**3 + 5*p**2 + 6. Let o be x(3). Let f be 8/32*(-16)/12*o. What is c(f)? -12 Let w be ((-594)/(-44) + -14)*20. Let n(b) = -b - 7. Calculate n(w). 3 Let h(f) = -229*f + 367*f - 1 - 22*f**3 + 3*f**2 - 140*f. Calculate h(1). -22 Let j(u) = -4*u**2 + u - 12. Let o(z) = 8*z**2 - 2*z + 24. Let y(r) = -13*j(r) - 6*o(r). Let w(i) be the first derivative of y(i). What is w(2)? 15 Let p(x) = -7*x**2 - x**2 + x**3 - 84*x - 6*x**2 - 129 + 26*x - 15*x**2. Calculate p(31). -5 Let j(o) = o**2 - 2*o - 1. Let i(u) = u**2 - u. Let m(w) = 2*i(w) - j(w). Let r = -2 + 7. What is m(r)? 26 Let z(o) be the second derivative of -o**5/120 - o**4/12 - 2*o**3/3 + 35*o. Let r(m) be the second derivative of z(m). What is r(6)? -8 Let v(l) = 5*l + 31. Let g(f) = -2*f**3 - 11*f**2 - 5*f - 5. Let a be g(-5). Give v(a). 6 Let n(a) = -355*a - 36. Let f(o) = 81*o + 8. Let m(z) = -22*f(z) - 5*n(z). Let y(u) = u**2 + 6*u + 5. Let l be y(-5). Let p be (1 - 0) + l + 2. Determine m(p). -17 Let g be 300/40*4/5. Suppose -3*j - t = 2*t - g, -4*t = 0. Let q(i) = 2*i**3 - 3*i**2 + 2*i + 1. Determine q(j). 9 Let n(d) be the first derivative of -11*d**2/2 - 166*d - 3828. Determine n(-16). 10 Let q be 1/(((-7)/28)/((-7)/(-4))). Let w be (-41)/q + 24/168. Let n(a) = -a**3 + 7*a**2 - 9*a + 15. Determine n(w). -3 Let g be (45/(-15))/(3 + 744/(-244)). Let z(b) = -2 - 4 + 19*b + 21*b + 22*b - g*b. Give z(-8). -14 Let t(a) = -5 + 5 - a**2. Let g(b) = -11*b**2 + 8*b + 3. Let j(c) = -13*c**2 + 7*c. Let w(d) = -7*g(d) + 6*j(d). Let v be w(-12). Calculate t(v). -9 Let c(p) = 2*p**2 + 4*p. Let f be 39/26*(2 + 0). Suppose 8 = f*x - 7, 3*x = -5*u - 5. Give c(u). 16 Let t(p) be the second derivative of p**4/12 - 4*p**3/3 - 7*p**2/2 + 7438*p. Determine t(6). -19 Let b(k) = -2*k**2 + 4*k + 1. Let y(t) = 3*t**2 - t - 1 + 3 - 1 - t**2. Let c be y(2). Let g(w) = w**3 - 8*w**2 + 9*w - 11. Let m be g(c). Give b(m). -5 Let z(g) = -5*g - 62. Let s(q) = -22*q - 314. Let k(m) = 3*s(m) - 14*z(m). Give k(15). -14 Let r(v) = 7*v - 155. Let z = 19775 - 19753. Calculate r(z). -1 Let y(u) = 9*u**2 + 53*u + 644. Let k(p) = -p**2 - 6*p - 68. Let i(h) = 19*k(h) + 2*y(h). Suppose n + 2*b = -0*b + 1, n + 19 = 3*b. What is i(n)? 3 Let a(i) = -i**2 + 13*i - 37. Suppose 5*h - 28*h + 196 = 5*h. Give a(h). 5 Let q = -6 - -5. Suppose -4*u + 27 = 14*t - 11*t, 3 = 3*t - 4*u. Let x(a) = -36 + 26*a - 4*a**3 - 27*a - t*a**3 + 35. Give x(q). 9 Let a(v) = -v**2 - 4*v - 4. Suppose 0 = -5*c - 5. Let i(z) = 13*z**2 + 3*z + 3. Let p be i(c). Suppose p = u + 17. What is a(u)? -4 Let k(m) be the second derivative of 0 + 1/2*m**3 + 182*m + 6*m**2. Suppose -4*f + 2*o = 24, -4*f + 2*o - 30 = -3*o. Calculate k(f). -3 Let i(n) = n**3 + 23 - 67 + 24 + 3*n + 18 + 4*n**2. Let r be (7 - 18 - -6) + 1. Determine i(r). -14 Let s(k) = -5*k**3 - 6*k**2 - 7*k + 12. Let j(c) = 7*c**3 + 5*c**2 + 8*c - 13. Suppose 0 = 42*z - 49*z + 14. Let w(u) = z*j(u) + 3*s(u). What is w(-7)? -4 Let g be ((-33)/(-6) + 1)*(-6)/(-3). Suppose -3*z = -g*z. Let l(h) = -2*h + h + 4*h**2 + 2*h + z*h. Give l(2). 18 Let w(k) = 2*k**3 + 6*k**2 + 10*k + 4. Let y = -8538 + 8534. What is w(y)? -68 Let m(b) = -b**3 - 7*b**2 - 5*b + 2. Suppose 13 = 9*g - 14. Suppose g*o = -22 + 4. Give m(o). -4 Let f(x) be the second derivative of 0*x**2 - 3*x + 6 + 1/6*x**3. What is f(5)? 5 Let j be 0 - (2 - (-2 + 3)). Let f(z) = -z**3 - 164893922 + 3*z**3 + 164893921 - z. What is f(j)? -2 Let x(r) = -9 + 67*r**2 - r**3 + 7 - 76*r**2. Let y = -1219 - -1210. Give x(y). -2 Let v(c) = -c**3 - 6*c**2 + 47*c + 254. Let s be v(-8). Let p(m) = -m**3 + 9*m**2 - 12*m + 7. Give p(s). 43 Let x(q) be the third derivative of 0 + 1/8*q**4 + 0*q**5 - 1/240*q**6 + 0*q**3 + 0*q - 19*q**2. Let d(n) be the second derivative of x(n). Give d(-3). 9 Suppose 3*a = -u + 27, 3*a + 4*u - 67 = -22. Let t(o) = -4*o**2 + 23*o + 13. Let d(b) = -2*b**2 + 11*b + 7. Let q(g) = 5*d(g) - 2*t(g). Calculate q(a). -26 Let d be (-30)/(-35) + 1364/434. Let j(i) = 3*i**2 + i - 4. What is j(d)? 48 Let y(k) be the third derivative of -7*k**4/8 - 107*k**3/6 - 2*k**2 - 200*k + 2. Determine y(-5). -2 Suppose 2*p + 9*p - 1375 = 0. Let d = -122 + p. Let s(q) = 2*q - 1 - 2*q + d*q - 4*q. Give s(-6). 5 Let o(w) = -w**3 - 6*w**2 + 8*w + 1. Let d = -573 - -590. Let z = -4 - -6. Suppose 4*y - 5 = 3*v, 1 + d = -z*v - y. Give o(v). -6 Let v(g) = -11*g + 119. Let u(a) = 4*a - 52. Let d(y) = -7*u(y) - 3*v(y). Suppose 4*p = 4 - 20. What is d(p)? -13 Let t(k) = 17*k - 54. Let d be 61/10 + 26/(-260). Determine t(d). 48 Let x(t) = 6*t**2 + 4*t + 5. Suppose 0 = 7*a - 19*a - 12. Let s(l) = -l**2 - l - 2. Let n(y) = a*x(y) - 5*s(y). Give n(-4). -15 Let m(l) be the second derivative of -11*l**3/3 + 453*l**2/2 - l - 80. What is m(21)? -9 Let m = 12 - -1. Let d(l) = -5*l**3 + 4*l**3 + 5*l**2 - 11 + 0*l**3 - 2*l - m*l**2. Calculate d(-8). 5 Let o(j) = -3*j**3 - 18*j**2 - 17*j - 5. Let m(a) = -2*a**3 - 14*a**2 - 11*a - 3. Le
{ "pile_set_name": "DM Mathematics" }
2481. -4290.9678 16934.61 * -3 -50803.83 0.02485 * -492 -12.2262 Work out 5771136 * 5. 28855680 What is 8859 times 12.5? 110737.5 What is the product of -0.2 and -26129742? 5225948.4 Work out 0.2 * -0.09965769. -0.019931538 Product of 26.78 and 13409. 359093.02 What is the product of -6076832 and 2? -12153664 206672 times -140 -28934080 Product of 0.369 and 795378. 293494.482 -0.026 times -3712811 96533.086 Work out -2114 * -5.56357. 11761.38698 6241 * -8.39 -52361.99 Work out -2333.96 * 42. -98026.32 -0.386 times 0.00658 -0.00253988 Multiply -15717141 and 0.5. -7858570.5 Calculate 354*65634. 23234436 -526.13498*-1 526.13498 What is -2.4 times 2452692? -5886460.8 Multiply -372.6089 and -0.3. 111.78267 3116 * 98066 305573656 -158791298*0.2 -31758259.6 1.92 * 0.015616 0.02998272 0.06176698*0.04 0.0024706792 Product of -1132942 and 37. -41918854 678086 * -200 -135617200 Product of 73969 and -213. -15755397 -1 * 0.22518277 -0.22518277 1*1369999 1369999 Multiply -440 and -5388129. 2370776760 23820*739.6 17617272 Multiply -0.0311 and 19590. -609.249 Multiply 1741090.03 and -0.1. -174109.003 Product of -233678097 and 1. -233678097 Product of 3489.253 and -5. -17446.265 What is -344.12 times 32780? -11280253.6 What is 0.1 times -704.0125? -70.40125 What is the product of 121.6 and 0.23262? 28.286592 What is the product of -0.3 and 6983061? -2094918.3 Calculate -0.1*-26051741. 2605174.1 -0.015 times -0.242009 0.003630135 Work out 13 * -0.001426391. -0.018543083 66112.908 times -4 -264451.632 What is -18 times -5885.2? 105933.6 5 times 39821969 199109845 9803.3 * 20.2 198026.66 7082316 times -3 -21246948 19030110 * 2 38060220 0.03*325906 9777.18 What is 1568326 times 57? 89394582 What is 13838 times -412? -5701256 Calculate -0.0483*-66843. 3228.5169 Product of -1081547 and 54. -58403538 Work out 0.58284 * -5.02. -2.9258568 Product of 29950.4 and 0.268. 8026.7072 Multiply -179.51083 and 0.4. -71.804332 97.636 times -0.352 -34.367872 What is the product of -6 and 1634425? -9806550 Work out 124589 * -0.001. -124.589 -12398043 * -0.3 3719412.9 Calculate 137493*15. 2062395 Work out 0.46829 * -1090. -510.4361 -70897706*-1 70897706 Product of 61 and -377212. -23009932 Multiply 5 and 13765.31. 68826.55 What is the product of 15108530 and 23? 347496190 What is -0.0301 times 88.29? -2.657529 Multiply -15.9533 and -2835. 45227.6055 Product of -748 and 18.184. -13601.632 What is the product of 19.25 and -9.5721? -184.262925 What is 0.5 times 316.8616? 158.4308 5 * -60.916595 -304.582975 Product of -0.015 and 1016476. -15247.14 0.070923 * -0.56 -0.03971688 223*82.48 18393.04 Product of -19436416.4 and -0.8. 15549133.12 Product of -6806 and 32966. -224366596 0.23212 times -262.27 -60.8781124 -0.1644469*-4 0.6577876 Product of -284.1723 and 2. -568.3446 -2.8464 * -0.0271 0.07713744 What is 11.87 times 121382? 1440804.34 What is the product of -4 and -6914265? 27657060 What is 0 times -134.1503? 0 What is 272 times 25.979? 7066.288 Multiply -53 and 702620. -37238860 Work out -0.763062 * -0.123. 0.093856626 Calculate 0.977*8292. 8101.284 Calculate -0.27*2983.13. -805.4451 Calculate -27.7659191*-4. 111.0636764 What is -25960 times -7164? 185977440 Product of -1 and -156.31602. 156.31602 -4 times 166761.8 -667047.2 -8316 times 62198 -517238568 326.039*1 326.039 Multiply 2 and -6626153. -13252306 What is 18 times -838904? -15100272 -1000194 times -3 3000582 Calculate -1006*-7.82022. 7867.14132 -1577 times -1.362 2147.874 -58.9 times -71241 4196094.9 Calculate -1330844*-0.2. 266168.8 410 times 3.083 1264.03 5780.713*0.9 5202.6417 285.09 * 220 62719.8 Product of 2032189 and -22. -44708158 What is -0.0598644 times -0.4? 0.02394576 -0.005747917 * 0 0 Multiply -5254 and -0.0931. 489.1474 Multiply -133.4 and 17521. -2337301.4 Work out -248013 * 0. 0 What is -0.040703081 times 3? -0.122109243 -1.17 * 826387 -966872.79 2441 * 623 1520743 -8488*7943 -67420184 660.58 * -171 -112959.18 Calculate 12033*-569. -6846777 What is -4772681 times 9? -42954129 -0.8 times -1.2132742 0.97061936 Calculate 17.14*0.08927. 1.5300878 0.1521*-11673 -1775.4633 What is -0.46174 times -3009? 1389.37566 What is 3.2775 times 9290? 30447.975 Calculate 54.3457*-169. -9184.4233 3*-7.489956 -22.469868 Product of -0.09 and -481.313. 43.31817 -0.5*14635.5674 -7317.7837 Multiply 275131.2 and -0.5. -137565.6 What is the product of -0.5 and 4039272? -2019636 480.9 * 0.17716 85.196244 What is 37294265 times -2? -74588530 Calculate -1*-513003.2. 513003.2 Product of 0.5 and -82872815. -41436407.5 Product of -877906 and -3.4. 2984880.4 Work out 3373.8 * -16.9. -57017.22 Multiply 0.038381 and 0.022. 0.000844382 What is 19.34297 times -0.2? -3.868594 What is the product of -0.12 and 1019.99? -122.3988 Work out 602.99 * -832. -501687.68 What is -22 times 0.127508? -2.805176 -0.35939 times -4870 1750.2293 Multiply -0.47 and -9358.514. 4398.50158 Product of 0.578 and 85260. 49280.28 -7903598*-111 877299378 Work out -2953 * -195678. 577837134 Calculate -4*3406162. -13624648 What is -2.3 times -1149995? 2644988.5 Multiply -104 and -1.9092206. 198.5589424 Product of -3269 and 0.02288. -74.79472 Multiply -2712901 and 32. -86812832 What is 0.3 times -1227809.9? -368342.97 Product of 613 and -6.9136. -4238.0368 -108358*-34 3684172 Multiply -98.88 and 105. -10382.4 Multiply 0.2 and 424016. 84803.2 Multiply 1708 and 36963. 63132804 Product of 0.4 and -4290.92. -1716.368 22819.89 * 34 775876.26 Multiply 1.3 and 29470.928. 38312.2064 -260.45 * 3.771 -982.15695 Multiply 0.921566583 and 0.1. 0.0921566583 Calculate -2807719.83*-0.4. 1123087.932 Calculate -1967*1926.6. -3789622.2 Product of 5 and -1370921. -6854605 Work out 3197590.2 * -5. -15987951 What is the product of -0.04 and 5.33166? -0.2132664 Product of -0.035 and 193.3338. -6.766683 What is 5427.5 times -49? -265947.5 Calculate -4445031*-0.3. 1333509.3 Calculate -99.5*739. -73530.5 Work out 5137 * -0.5026. -2581.8562 -0.0752 * -41926 3152.8352 Calculate 2671*-14354. -38339534 -261424270*3 -784272810 Calculate -0.132*-0.0351358. 0.0046379256 0.4 * 40208 16083.2 -0.049 * 224126 -10982.174 168669043 times 0.3 50600712.9 Product of -62771 and 19. -1192649 Multiply 62.73 and -684. -42907.32 Calculate 79*192.9974. 15246.7946 Product of 3 and -0.24971695. -0.74915085 0.3 times -1.384447 -0.4153341 Calculate 33.2*8521. 282897.2 Multiply -51090 and -3968. 202725120 Product of -5.10278 and -153. 780.72534 Calculate 1.23153*-3892. -4793.11476 Multiply 0.6 and 26164294. 15698576.4 What is the product of 7 and -12229.2? -85604.4 Product of -929.4 and 266. -247220.4 Product of -1.547172 and 38. -58.792536 Work out 4041.7884 * 5. 20208.942 Calculate -1844102*6. -11064612 What is the product of -0.142 and -1683? 238.986 What is 1 times 12007.73? 12007.73 -1059192 * -17 18006264 Calculate 899.12*-3.87. -3479.5944 -0.14*-7242419 1013938.66 Work out 168176 * 0.0068. 1143.5968 Work out 11220.05 * -5.9. -66198.295 What is the product of 0.01959268 and -4? -0.07837072 Product of 0.08313 and 0.03691. 0.0030683283 Calculate 719395*0.23. 165460.85 What is the product of -88.5847 and -0.3? 26.57541 Calculate 19*-546586. -10385134 Calculate -4*-39126.904. 156507.616 -4.2 * -4862144 20421004.8 Work out -2729 * -19.838. 54137.902 Multiply 1153631 and -10.6. -12228488.6 Product of -9.722373 and 0.5. -4.8611865 What is the product of 6495 and -1725.87? -11209525.65 Calculate 0.023704578*1. 0.023704578 -578.86*1991 -1152510.26 What is 0.205 times -338026? -69295.33 What is the product of 3503 and 841? 2946023 What is the product of 0.24939 and -2.37? -0.5910543 -5.8*-139878 811292.4 -9302*4185 -38928870 What is -4182442 times -0.3? 1254732.6 What is the product of 26181 and 17.5? 458167.5 Product of -122267 and -12079. 1476863093 Product of -0.105703353 and 0.1. -0.0105703353 -6120823.5 times -0.3 1836247.05 What is the product of -718 and -1.1764? 844.6552 4.5 * -37180105 -167310472.5 Multiply 0.0272 and -249477. -6785.7744 3 times -18712954 -56138862 What is the product of -0.1 and 59946695? -5994669.5 Calculate -67977*-352. 23927904 -0.016 times 1.01912 -0.01630592 Calculate 3*1464606.5. 4393819.5 -15728667 * 0.5 -7864333.5 Multiply -3 and 14.094509. -42.283527 Work out -2199103 * -1.3. 2858833.9 Wha
{ "pile_set_name": "DM Mathematics" }
-274 3/274 -4 divided by 194 -2/97 Calculate 994 divided by 14. 71 What is 62 divided by 72? 31/36 What is -87 divided by 1? -87 What is 204 divided by -12? -17 What is -2538 divided by -18? 141 Divide 12 by -1192. -3/298 What is 7680 divided by -192? -40 -3648 divided by -4 912 Calculate 188 divided by 41. 188/41 What is -1 divided by -5673? 1/5673 4038 divided by -6 -673 960 divided by -320 -3 Divide 621 by -207. -3 Calculate -120 divided by 10. -12 Calculate -5 divided by -28. 5/28 Divide -996 by -3. 332 Divide 4 by 1859. 4/1859 305 divided by -61 -5 360 divided by 18 20 Calculate -1997 divided by -1. 1997 What is -829 divided by -1? 829 What is 124960 divided by 4? 31240 5373 divided by 1791 3 438 divided by 146 3 Calculate -2661 divided by 5. -2661/5 Calculate 3 divided by 83. 3/83 Calculate -7938 divided by -3. 2646 Divide -5493 by -6. 1831/2 Divide 3159 by 5. 3159/5 5 divided by -11 -5/11 Divide -168 by -84. 2 What is 0 divided by 98? 0 Calculate 0 divided by -119. 0 Divide -144 by 1. -144 What is -5 divided by -70? 1/14 What is 266 divided by -19? -14 -650 divided by -25 26 What is 28794 divided by -6? -4799 What is -280 divided by -5? 56 Calculate 2786 divided by 8. 1393/4 Calculate 0 divided by -45. 0 712 divided by 712 1 363 divided by 121 3 -24 divided by -8 3 Calculate 8226 divided by -3. -2742 Calculate -3545 divided by 3545. -1 What is -11774 divided by -203? 58 Calculate 4 divided by 29. 4/29 23 divided by -5 -23/5 What is -289 divided by 14? -289/14 Calculate 3438 divided by 6. 573 Divide 44 by -9. -44/9 What is 8503 divided by -11? -773 Divide 24 by -1. -24 Divide 2 by -92. -1/46 5 divided by -1067 -5/1067 -477 divided by 159 -3 Divide 26 by -5. -26/5 What is -2 divided by -6? 1/3 442 divided by 13 34 What is -4 divided by -232? 1/58 Divide -2207 by 10. -2207/10 Calculate -767 divided by 2. -767/2 Calculate 563 divided by 4. 563/4 Divide -1178 by 38. -31 Divide -1 by -2550. 1/2550 What is 17766 divided by -21? -846 Divide -85 by 20. -17/4 What is 19 divided by -22? -19/22 What is 654 divided by -327? -2 249 divided by 3 83 Calculate -4 divided by 6. -2/3 Divide 23 by -5. -23/5 -3495 divided by -5 699 -19 divided by -6 19/6 What is -1144 divided by 26? -44 Calculate 103 divided by -15. -103/15 Calculate -7 divided by 1435. -1/205 What is -1100 divided by 275? -4 Calculate -4800 divided by 24. -200 Divide -31 by 6. -31/6 -46 divided by 23 -2 Calculate 445 divided by -89. -5 What is -4004 divided by 14? -286 1004 divided by -2 -502 Calculate 100 divided by 2. 50 -16468 divided by -92 179 Calculate -135 divided by -15. 9 What is 4428 divided by 108? 41 -25836 divided by -6 4306 -2 divided by 17 -2/17 Divide 233 by 2. 233/2 What is 8479 divided by 6? 8479/6 Calculate 12641 divided by -6. -12641/6 Calculate -336 divided by -84. 4 -258 divided by 86 -3 Divide 246 by 41. 6 -45234 divided by 6 -7539 0 divided by -239 0 What is 842 divided by 4? 421/2 171 divided by -36 -19/4 -4 divided by -34 2/17 Calculate -2071 divided by -8. 2071/8 Divide 1634 by -817. -2 -442 divided by 6 -221/3 Divide 6636 by -6. -1106 Divide -2422 by 5. -2422/5 -66 divided by 6 -11 Calculate -1 divided by -32. 1/32 48 divided by -8 -6 37 divided by 37 1 What is -214 divided by 107? -2 Calculate 1126 divided by -11. -1126/11 Divide 5 by 7. 5/7 Calculate -7 divided by 1640. -7/1640 -90 divided by 2 -45 -8890 divided by -889 10 Calculate -3863 divided by -2. 3863/2 Calculate 4940 divided by -4940. -1 Calculate -1449 divided by 23. -63 2344 divided by 586 4 Calculate -90 divided by 6. -15 What is 4 divided by -96? -1/24 Divide 880 by 4. 220 Divide 1047 by 1. 1047 What is -3438 divided by 1146? -3 -967 divided by 1 -967 Divide 36 by 12. 3 2325 divided by 6 775/2 78 divided by -39 -2 Divide -2784 by 464. -6 Divide 1332 by -36. -37 Calculate 40 divided by 1. 40 Calculate 1969 divided by 12. 1969/12 Calculate -1120 divided by 280. -4 Divide -1900 by -475. 4 2340 divided by -156 -15 What is 13503 divided by -4? -13503/4 What is -84 divided by -42? 2 -77 divided by -71 77/71 -3852 divided by -1284 3 Divide -5 by -1. 5 What is 9 divided by 3? 3 What is 15330 divided by 5? 3066 Calculate 4088 divided by 28. 146 Calculate -612 divided by 3. -204 What is 483 divided by 69? 7 Divide 4 by -436. -1/109 -2450 divided by 50 -49 -33 divided by 5 -33/5 What is 1118 divided by 4? 559/2 Divide 2610 by 522. 5 Divide 46 by 23. 2 Calculate -16 divided by 2. -8 What is 306 divided by -4? -153/2 Divide 12550 by 2510. 5 What is 33 divided by 657? 11/219 What is 1164 divided by 4? 291 Calculate -1623 divided by 3. -541 17 divided by 5 17/5 Divide 5724 by -954. -6 0 divided by 288 0 -295 divided by 10 -59/2 Divide 21216 by -8. -2652 Calculate -4 divided by 39. -4/39 Calculate -4032 divided by 96. -42 Calculate 95 divided by -5. -19 What is 2220 divided by 555? 4 Calculate -10 divided by -5. 2 Calculate 2 divided by 195. 2/195 -127 divided by -1 127 Calculate -522 divided by 3. -174 Divide -6855 by 1371. -5 7910 divided by -1130 -7 Calculate 0 divided by 75. 0 Divide -5 by 242. -5/242 Calculate 71 divided by 1. 71 What is 2205 divided by -441? -5 What is 160 divided by 1? 160 What is 2 divided by -8815? -2/8815 43 divided by 2 43/2 Divide 330 by 6. 55 Calculate 105 divided by -8. -105/8 1645 divided by -235 -7 -8646 divided by 2882 -3 Calculate -31 divided by -2. 31/2 Divide -92 by 46. -2 Divide 8118 by -246. -33 -5 divided by 68 -5/68 -4 divided by -83 4/83 Divide -1944 by -243. 8 Calculate 3 divided by 1446. 1/482 Divide -13 by 24. -13/24 Calculate 41 divided by -1. -41 Divide -1 by 4233. -1/4233 Divide 1269 by 141. 9 Calculate 11734 divided by 2. 5867 Divide -39245 by -5. 7849 Calculate 4 divided by -81. -4/81 Calculate 2 divided by 180. 1/90 -5 divided by -974 5/974 What is 0 divided by 312? 0 What is -2400 divided by 32? -75 985 divided by -197 -5 111 divided by 35 111/35 Calculate 860 divided by 10. 86 Calculate 48 divided by 48. 1 20 divided by -6 -10/3 Calculate 7 divided by 3052. 1/436 Divide 114 by -3. -38 Divide 127 by 23. 127/23 Divide -2 by -822. 1/411 Calculate -2333 divided by -2. 2333/2 2619 divided by 8 2619/8 -1062 divided by 18 -59 Calculate -4158 divided by 462. -9 Divide 288 by -72. -4 What is -9 divided by -40? 9/40 What is 754 divided by -3? -754/3 Calculate -656 divided by -16. 41 Divide 10 by 11. 10/11 -3335 divided by 5 -667 What is -26 divided by -2? 13 Divide -4 by 108. -1/27 -4686 divided by -142 33 -22 divided by -286 1/13 What is 5566 divided by 2? 2783 What is 504 divided by -72? -7 -638 divided by -22 29 Divide -42 by -5. 42/5 What is -252 divided by 84? -3 What is -33 divided by 11? -3 Calculate 1 divided by 39. 1/39 Calculate -63 divided by -21. 3 Divide 172 by 2. 86 Divide 7254 by -2418. -3 Divide -686 by 1. -686 Calculate -256 divided by 5. -256/5 2304 divided by 4 576 Calculate -580 divided by 4. -145 Divide 13 by 26. 1/2 9 divided by 17 9/17 Calculate -1 divided by 23. -1/23 What is -3 divided by -52? 3/52 What is -9150 divided by 5? -1830 Calculate 1820 divided by -70. -26 What is 94 divided by -47? -2 Divide -30 by -15. 2 1121 divided by -59 -19 What is 1195 divided by 3? 1195/3 Divide 61 by -61. -1 -21 divided by 107 -21/107 What is -1 divided by -1440? 1/1440 What is -625 divided by 5? -125 What is -4 divided by 64? -1/16 Divide 904 by -8. -113 What is 7756 divided by -2? -3878 Divide -1 by -522. 1/522 Calculate 10752 divided by 192. 56 What is -2225 divided by -5? 445 What is 2 divided by 269? 2/269 30850 divided by -6170 -5 Calculate 357 divided by 7. 51 -16 divided by -1050 8/525 Divide -1 by 422. -1/422 What is 184 divided by -92? -2 What is -296 divided by 4? -74 What is 764 divided by 382? 2 1554 divided by 222 7 Calculate 880 divided by 40. 22 Divide -165 by -33. 5 -2 divided by 29 -2/29 379 divided by -37 -379/37 Divide -5 by 74. -5/74 Calculate -3670 divided by 5. -734 Calculate 1 divided by -6. -1/6 Divide 4 by 1170. 2/585 -7716 divided by 4 -1929 -114 divided by -2 57 What is -82 divided by -3? 82/3 Calculate -3258 divided by 1. -3258 Calculate 578 divided by 34. 17 What is 1020 divided by 6? 170 What is 81 divided by 409? 81/409 What is 306 divided by -8? -153/4 Calculate -3 divided by 63. -1/21 What is 45 divided by 9? 5 -5 divided b
{ "pile_set_name": "DM Mathematics" }
17) Solve 66/5*q**2 - 3/5*q**3 + 0 - 363/5*q = 0. 0, 11 Suppose 0 = 4*r - 20, -y - 12*r + 7 = -11*r. What is b in 1/3*b**y + 1 - 4/3*b = 0? 1, 3 Suppose -3*k + 9 = z, 5 = 7*k - 3*k - z. Find r such that -r**3 + 2*r - 3/2*r**2 + 1/2*r**4 + k = 0. -1, 2 Let d(g) be the first derivative of g**5/5 - 5*g**4/3 + 4*g**3/3 + 16*g**2 + 6*g - 31. Let x(z) be the first derivative of d(z). Find h, given that x(h) = 0. -1, 2, 4 Suppose 15*g = 20*g + 25. Let j(k) = -76*k**2 + 136*k + 40. Let o(u) = -51*u**2 + 91*u + 27. Let v(w) = g*j(w) + 8*o(w). Suppose v(d) = 0. Calculate d. -2/7, 2 Let m(x) be the first derivative of -4/3*x**3 - 6*x + 7*x**2 - 10. Factor m(q). -2*(q - 3)*(2*q - 1) Let q(n) be the third derivative of 8*n**2 + 5/4*n**4 + 1/3*n**5 + 15/8*n**3 + 0 + 0*n. Factor q(d). 5*(4*d + 3)**2/4 Let u(j) be the first derivative of 1/5*j**5 - 5/6*j**2 + 2/3*j + 5/12*j**4 - 19 - 5/9*j**3. Find z, given that u(z) = 0. -2, -1, 1/3, 1 Suppose 48 = 13*p + 3*p. Let v(f) be the first derivative of -2/5*f - 1/10*f**4 + 1/5*f**2 + 2/15*f**p + 5. Factor v(l). -2*(l - 1)**2*(l + 1)/5 Let s(d) be the second derivative of d**7/84 - d**6/20 - d**5/20 + d**4/4 + d**3/12 - 3*d**2/4 + 51*d. Solve s(n) = 0. -1, 1, 3 Let n(s) = 14*s + 8. Let r be n(15). Let -o**3 + 0*o**2 + 3*o**4 - 2*o**3 + 221*o**5 - r*o**5 - 3*o**2 = 0. What is o? -1, 0, 1 Let u be (-144)/8 + 7 + (-35)/(-3). Factor -u + 2/3*b**3 - 2/3*b + 2/3*b**2. 2*(b - 1)*(b + 1)**2/3 Let v(j) be the first derivative of -2*j**3/7 - 24*j**2/7 - 72*j/7 - 106. Factor v(d). -6*(d + 2)*(d + 6)/7 Let g(n) = -94*n - 2724. Let t be g(-29). Factor 2/15*k**t - 14/15*k + 0. 2*k*(k - 7)/15 Let o(r) = -r**4 - 3*r**3 - 3*r**2 - 5*r - 4. Let b(k) = -3*k**4 - 8*k**3 - 8*k**2 - 14*k - 11. Let a(c) = -4*b(c) + 11*o(c). Determine s, given that a(s) = 0. -1, 0, 1 Let 1332/7*t**2 + 2/7*t**3 + 21882096/7 + 295704/7*t = 0. Calculate t. -222 Let q(t) be the third derivative of 0*t - 7*t**2 + 0 + 2/3*t**4 - 4/3*t**3 + 1/6*t**5. Find b, given that q(b) = 0. -2, 2/5 Let u = 14332 - 28661/2. Let u*v**2 + 0*v + 0 = 0. What is v? 0 Let k be 10/(-3)*(13 - 16). Suppose 2*m + 3*m - k = 0. Let -15*v**2 + 4 + 17*v**m + v - 7*v = 0. What is v? 1, 2 Let r(s) be the first derivative of s**7/35 + 7*s**6/60 + 8*s**5/45 + s**4/9 + 11*s**2/2 + 14. Let v(w) be the second derivative of r(w). Factor v(g). 2*g*(g + 1)*(3*g + 2)**2/3 Let k = -2595 - -2608. Let a(b) be the third derivative of 0 + 0*b**3 + k*b**2 - 1/108*b**4 + 1/270*b**5 + 0*b. Factor a(y). 2*y*(y - 1)/9 Let u(p) = -15*p**3 - 10*p**2 + 35*p. Let q(l) = -17*l**3 - 11*l**2 + 36*l. Let d(s) = 5*q(s) - 6*u(s). Let d(j) = 0. What is j? -3, 0, 2 Suppose 0*j = j + 8. Let s(d) = -5*d**2 + 2*d - 3. Let n = -35 + 32. Let c(a) = 14*a**2 - 6*a + 8. Let i(g) = j*s(g) + n*c(g). Solve i(l) = 0. 0, 1 Let u(z) be the second derivative of 5*z**4/12 + 5*z**3 + 25*z**2/2 - 70*z + 2. Factor u(v). 5*(v + 1)*(v + 5) Suppose 2*j - 108 = 5*g + 96, 4*j - 372 = g. Let x = -90 + j. Solve 0 + 1/6*y**x + 0*y + 0*y**3 - 1/6*y**4 = 0. -1, 0, 1 Let n(v) be the first derivative of -2*v**3/3 - 5*v**2 + 12*v - 640. Let n(x) = 0. Calculate x. -6, 1 Find b, given that -210*b**2 - 160 - 1345*b**4 + 1340*b**4 - 320*b - 73*b**3 + 18*b**3 = 0. -4, -2, -1 Let n = -474072 + 21334159/45. Let i = n + -101/5. Factor -4/9 - 2/3*q - i*q**2. -2*(q + 1)*(q + 2)/9 Let g(c) = -5*c**3 + 3*c**2 - 4*c. Let o(x) = 4*x**3 - 3*x**2 + 3*x + 1. Let p(w) = -3*g(w) - 4*o(w). Suppose p(h) = 0. What is h? -1, 2 Let j(t) be the third derivative of -t**5/30 - 215*t**4/6 - 46225*t**3/3 + 774*t**2 + t. Let j(q) = 0. What is q? -215 Let x be 4 + (1 - 1) - 0. Suppose 5*m**2 - 4*m**x + m**2 + 55*m - 2*m**5 + 6*m**3 + 2*m**2 - 63*m = 0. Calculate m. -2, 0, 1 Let m be (-67)/(-335) + 1/45. Suppose 2/9*u**4 - 2/9*u**3 - m*u**2 + 0 + 2/9*u = 0. What is u? -1, 0, 1 Let m(o) be the third derivative of 2*o**7/735 + 2*o**6/21 + o**5/3 - 10*o**4/21 - 24*o**3/7 + 2*o**2 + 311*o. Determine k so that m(k) = 0. -18, -2, -1, 1 Let -63/5*g + 3/5*g**2 + 0 = 0. What is g? 0, 21 Let n = 3047 + -3045. Factor o + 5/4*o**3 - 3*o**n + 0. o*(o - 2)*(5*o - 2)/4 Let l(t) be the third derivative of -t**5/60 - 3*t**4/2 - 54*t**3 - t**2 - 37*t. Let l(w) = 0. Calculate w. -18 Let o(a) be the first derivative of 26 - 21/8*a**2 - 3/20*a**5 + 5/6*a**3 - 1/24*a**6 + 3/8*a**4 + 9/4*a. Factor o(t). -(t - 1)**3*(t + 3)**2/4 Let o = 49002 + -343010/7. Let -2/7*r + 0 - o*r**2 - 2/7*r**3 = 0. What is r? -1, 0 Solve c + c**4 + 5/3*c**3 + 0 - 11/3*c**2 = 0 for c. -3, 0, 1/3, 1 Let r(x) be the third derivative of -1/570*x**5 + 0*x + 27*x**2 + 0 + 0*x**3 + 1/57*x**4. Factor r(o). -2*o*(o - 4)/19 Let k(g) = 5*g**3 - 5*g**4 - 3 - 1 - 1 - 3*g - 1 + 9*g**2. Let r(h) = h**4 - h**3. Let m(n) = -k(n) - 2*r(n). Factor m(t). 3*(t - 2)*(t - 1)*(t + 1)**2 Solve 285/4*l + 3/8*l**2 + 27075/8 = 0 for l. -95 Let b(r) be the third derivative of -r**8/24192 - 11*r**7/15120 - r**6/540 + r**5/30 - 22*r**2. Let i(x) be the third derivative of b(x). Factor i(h). -(h + 4)*(5*h + 2)/6 Suppose -u + 8 = 3*u. Suppose 4*h - u*h = 10. Let -h*b**2 + 20*b - b - 3*b + 4*b**3 - 11*b**2 = 0. What is b? 0, 2 Let i(p) be the second derivative of 7/135*p**6 - 2/15*p**5 + 2/27*p**3 + 0*p**2 + 0 + 1/18*p**4 + 15*p. Find c such that i(c) = 0. -2/7, 0, 1 Suppose w = -4*s + 12, 3 = -2*w + s - 0. Let h(t) be the first derivative of w*t**2 + t**3 - 5 - 1/2*t + 3/10*t**5 - t**4. Factor h(v). (v - 1)**3*(3*v + 1)/2 Let t(y) = y**3 - y**2 - y. Let a(r) = -7*r**4 - 43*r**3 + 66*r**2 - 20*r. Let z(k) = 5*a(k) - 20*t(k). What is i in z(i) = 0? -8, 0, 2/7, 1 Let q(y) be the third derivative of y**8/84 + 2*y**7/15 - 11*y**6/30 - 23*y**5/15 + 5*y**4/3 + 32*y**3/3 + 48*y**2 + 3*y. Suppose q(a) = 0. What is a? -8, -1, 1, 2 Let a(t) be the first derivative of -2*t**4/3 - 28*t**3/9 - 14*t**2/3 - 8*t/3 + 36. Suppose a(k) = 0. Calculate k. -2, -1, -1/2 Let f(m) = -m**2 + m + 1. Let t(l) = -3*l**2 - 14*l - 16. Let a(b) = -10*f(b) + 2*t(b). Factor a(q). 2*(q + 1)*(2*q - 21) Let y be 5/(-3)*(-4)/5. Let u(p) = p**3 + 2*p**2 - 25*p - 63. Let i be u(-3). Find j such that 2/3*j - y*j**4 + 0*j**i + 4/3*j**2 + 0 - 2/3*j**5 = 0. -1, 0, 1 Suppose -5*v = 4*n - 0*n - 90, 66 = 4*v + 2*n. Factor 6 + 4*y**2 - v*y + 0*y**2 + 0*y**2 + 4*y**2. 2*(y - 1)*(4*y - 3) Let y be (-1566)/(-216) - (6 - -1). Let h(a) be the first derivative of a**2 + y*a**4 + a**3 + 0*a + 8. Find w such that h(w) = 0. -2, -1, 0 Let x(v) be the first derivative of -3*v**6/140 + 23*v**5/70 - 43*v**4/84 + v**3/3 - 19*v**2 + 11. Let z(n) be the second derivative of x(n). Factor z(s). -2*(s - 7)*(3*s - 1)**2/7 Let h be ((-12)/(-63))/(1619/810 - 2). Let k = -154 - h. Solve 0*u - 2/7*u**4 + 0 + 2/7*u**3 - k*u**5 + 2/7*u**2 = 0. -1, 0, 1 Let x = -20318 + 20320. Determine j so that 1/3*j + j**3 + 0 + 4/3*j**x = 0. -1, -1/3, 0 Let m(o) be the second derivative of o**6/30 - o**5/20 - 5*o**4/12 - o**3/2 - 180*o. Solve m(x) = 0 for x. -1, 0, 3 Let f(x) = 4*x**2 - 28*x - 80. Let w(z) = -8*z**2 + 64*z + 160. Let v(l) = 11*f(l) + 6*w(l). Suppose v(o) = 0. Calculate o. -1, 20 Let s(d) be the first derivative of 2*d**5/55 - 12*d**4/11 + 368*d**3/33 - 480*d**2/11 + 800*d/11 + 21. Factor s(l). 2*(l - 10)**2*(l - 2)**2/11 Let p(z) be the first derivative of 1/6*z**2 + 0*z - 1/12*z**4 - 1/9*z**3 - 9 + 1/15*z**5. Factor p(t). t*(t - 1)**2*(t + 1)/3 Determine l, given that 20/9*l**2 + 14/9*l - 392/9 - 2/9*l**3 = 0. -4, 7 Let l(h) be the third derivative of h**5/180 + 17*h**4/72 + 8*h**3/9 + 57*h**2. Determine v so that l(v) = 0. -16, -1 Let m(j) be the first derivative of -j**5/45 + j**4/3 + 2*j**3/3 - 18*j**2 - 81*j - 60. Factor m(o). -(o - 9)**2*(o + 3)**2/9 Let q(u) be the second derivative of -7/120*u**6 + 0*u**2 - 3/8*u**4 - 2/3*u**3 - 5*u + 1/4*u**5 + 0. Let f(p) be the second derivative of q(p). Factor f(a). -3*(a - 1)*(7*a - 3) Let r(p) be the third derivative of -p**8/42 - p**7/70 + 29*p**6/120 + 5*p**5/12 - 3*p**4/8 - 5*p**3/3 - 40*p**2 + 4. Let r(z) = 0. Calculate z. -1, 5/8, 2 Suppose 0 = -0*f - 3*f + 6. Determine a, given that 5*a**4 - 4*a**f + 44*a**2 + 25*a**3 - 189*a + 209*a = 0. -2, -1, 0 Factor 10*u - 4*u**3 + 16*u**3 - 4*u**3 - 3*u**2 - 9*u**3. -u*(u - 2)*(u + 5) Let s(k) be the third derivative of -k**8/6720 -
{ "pile_set_name": "DM Mathematics" }
hat is prob of picking 1 i and 1 a when two letters picked without replacement from {p: 10, a: 3, i: 2}? 2/35 Calculate prob of picking 1 h, 1 j, 1 n, and 1 l when four letters picked without replacement from nlnjnjhhnhln. 4/33 Calculate prob of picking 2 b when two letters picked without replacement from {b: 4, w: 1, g: 1, x: 5, n: 3}. 6/91 Calculate prob of picking 2 w when two letters picked without replacement from zwwwwzwwwwwwzz. 45/91 Three letters picked without replacement from {h: 3, d: 4, o: 4}. What is prob of picking 2 h and 1 o? 4/55 What is prob of picking 1 a and 1 b when two letters picked without replacement from {s: 8, n: 1, c: 2, b: 5, a: 3}? 5/57 Calculate prob of picking 2 l and 1 b when three letters picked without replacement from {b: 2, l: 3, o: 2, n: 2}. 1/14 Three letters picked without replacement from {r: 2, k: 1, o: 1, n: 1, m: 11}. Give prob of picking 1 k, 1 r, and 1 n. 1/280 Calculate prob of picking 1 w, 1 v, and 2 o when four letters picked without replacement from wooywwwwvwow. 7/165 Calculate prob of picking 3 a and 1 s when four letters picked without replacement from ssccsacasrsarraarirr. 10/969 Two letters picked without replacement from {w: 2, q: 4, n: 1, f: 3, i: 1}. Give prob of picking 1 f and 1 n. 3/55 Two letters picked without replacement from {b: 3, v: 2, i: 6, n: 3, z: 1}. What is prob of picking 1 v and 1 n? 2/35 Calculate prob of picking 1 r and 1 p when two letters picked without replacement from rrrppr. 8/15 Calculate prob of picking 4 n when four letters picked without replacement from ddddnvnddnnnvdddndd. 5/1292 Two letters picked without replacement from cdcrvoc. Give prob of picking 2 c. 1/7 What is prob of picking 1 f and 1 n when two letters picked without replacement from {f: 2, k: 1, n: 6, x: 1, s: 2, g: 5}? 3/34 What is prob of picking 1 c, 1 j, 1 n, and 1 k when four letters picked without replacement from nkjknlnkjtnlklc? 32/1365 Two letters picked without replacement from {j: 1, w: 1, f: 3, l: 3, q: 1, a: 2}. What is prob of picking 1 q and 1 f? 3/55 What is prob of picking 1 h and 1 g when two letters picked without replacement from {f: 1, c: 1, t: 1, d: 2, h: 1, g: 8}? 8/91 Two letters picked without replacement from {y: 3}. Give prob of picking 2 y. 1 What is prob of picking 1 p, 1 x, and 1 s when three letters picked without replacement from {p: 5, x: 2, s: 2}? 5/21 Three letters picked without replacement from {o: 4, b: 3, n: 1, p: 2}. Give prob of picking 1 b, 1 p, and 1 o. 1/5 What is prob of picking 1 l, 2 w, and 1 h when four letters picked without replacement from nwhhwlhjhhhhw? 21/715 Two letters picked without replacement from jjjjgggkjjjjjjjjj. Give prob of picking 2 j. 39/68 What is prob of picking 1 c, 1 b, and 1 l when three letters picked without replacement from czlbkbggc? 1/21 What is prob of picking 4 p when four letters picked without replacement from {p: 9}? 1 Two letters picked without replacement from {g: 5, y: 3, o: 1, d: 1, p: 1, t: 4}. Give prob of picking 1 g and 1 o. 1/21 Calculate prob of picking 1 u, 2 d, and 1 q when four letters picked without replacement from ydybyyyyycqduyyyyb. 1/3060 Calculate prob of picking 3 y and 1 m when four letters picked without replacement from {m: 9, t: 1, f: 8, y: 1}. 0 What is prob of picking 2 k and 1 z when three letters picked without replacement from npkpkrkrppzzrjzzzz? 3/136 What is prob of picking 2 x when two letters picked without replacement from {x: 8, p: 3}? 28/55 Three letters picked without replacement from {v: 7}. Give prob of picking 3 v. 1 Two letters picked without replacement from {v: 3, p: 8, d: 1, j: 1, i: 2, y: 1}. What is prob of picking 1 j and 1 p? 1/15 Two letters picked without replacement from {t: 3, y: 1, c: 2, k: 2, r: 3, m: 4}. Give prob of picking 1 c and 1 k. 4/105 Two letters picked without replacement from {c: 3, e: 8}. What is prob of picking 2 e? 28/55 What is prob of picking 1 u, 1 g, and 1 r when three letters picked without replacement from {g: 4, r: 2, d: 1, u: 1, f: 1, e: 3}? 2/55 What is prob of picking 4 i when four letters picked without replacement from xxxeixeieixixx? 1/1001 Two letters picked without replacement from {j: 7, f: 2, c: 1, h: 2}. What is prob of picking 1 c and 1 j? 7/66 Two letters picked without replacement from {m: 1, r: 5, h: 3, e: 9}. What is prob of picking 2 h? 1/51 Three letters picked without replacement from {g: 3, l: 6, v: 1, j: 3}. What is prob of picking 2 j and 1 v? 3/286 Calculate prob of picking 1 c and 1 d when two letters picked without replacement from dfcfihdffppdpdff. 1/30 Calculate prob of picking 1 e and 3 n when four letters picked without replacement from {e: 2, n: 7}. 5/9 What is prob of picking 1 x and 1 g when two letters picked without replacement from {q: 1, g: 1, k: 6, n: 1, x: 4}? 2/39 Four letters picked without replacement from nnfffaafffnf. Give prob of picking 2 a and 2 f. 7/165 What is prob of picking 2 j when two letters picked without replacement from {t: 4, j: 9, c: 1, b: 2}? 3/10 What is prob of picking 1 y and 1 r when two letters picked without replacement from ryjjryuubuuyyruu? 1/10 Three letters picked without replacement from odoodoooodddooooooo. What is prob of picking 3 o? 364/969 Calculate prob of picking 3 j and 1 t when four letters picked without replacement from {t: 1, o: 5, j: 7, y: 3, l: 3}. 35/3876 What is prob of picking 1 w and 1 l when two letters picked without replacement from {l: 7, w: 5}? 35/66 Four letters picked without replacement from ozfooizzfz. Give prob of picking 2 o, 1 f, and 1 z. 4/35 Two letters picked without replacement from {w: 2, t: 3}. Give prob of picking 2 t. 3/10 Three letters picked without replacement from ppppepeeepp. Give prob of picking 3 p. 7/33 Calculate prob of picking 1 g and 1 o when two letters picked without replacement from jjgoigjjjgji. 1/22 Three letters picked without replacement from {h: 2, o: 5, x: 3, z: 2}. Give prob of picking 1 x and 2 o. 3/22 Calculate prob of picking 2 x when two letters picked without replacement from {x: 3, d: 5}. 3/28 Two letters picked without replacement from {r: 6, a: 10, w: 2}. Give prob of picking 2 a. 5/17 What is prob of picking 1 g, 1 q, and 1 b when three letters picked without replacement from ccugbbcuuugq? 1/55 Calculate prob of picking 4 o when four letters picked without replacement from {o: 4, x: 3}. 1/35 What is prob of picking 2 m and 2 l when four letters picked without replacement from {r: 1, l: 2, m: 4}? 6/35 Calculate prob of picking 1 j, 1 k, and 1 v when three letters picked without replacement from {p: 4, k: 2, j: 4, a: 6, f: 1, v: 2}. 16/969 Four letters picked without replacement from {g: 4, u: 2}. Give prob of picking 3 g and 1 u. 8/15 Four letters picked without replacement from bpbqsqboses. What is prob of picking 1 q, 1 e, 1 p, and 1 o? 1/165 Calculate prob of picking 1 c and 2 a when three letters picked without replacement from aaacvccv. 9/56 What is prob of picking 2 e when two letters picked without replacement from eeeeheheee? 28/45 What is prob of picking 4 p when four letters picked without replacement from cppccppppppppppp? 11/28 Four letters picked without replacement from llll. What is prob of picking 4 l? 1 What is prob of picking 1 b and 2 d when three letters picked without replacement from dddbdddddbbdbbddbdd? 156/323 Calculate prob of picking 1 l and 2 b when three letters picked without replacement from blppppbbpppbb. 5/143 Calculate prob of picking 1 e, 1 w, and 1 j when three letters picked without replacement from jkwqjjjqqekj. 1/44 Two letters picked without replacement from {q: 12, a: 1, y: 5}. What is prob of picking 2 q? 22/51 Two letters picked without replacement from {q: 8, p: 6, g: 1, h: 1}. Give prob of picking 1 p and 1 q. 2/5 Calculate prob of picking 1 o and 2 z when three letters picked without replacement from {o: 1, c: 3, z: 3, f: 2, d: 1}. 1/40 What is prob of picking 2 x when two letters picked without replacement from {x: 5, z: 1, i: 1, q: 4, s: 4}? 2/21 Three letters picked without replacement from nnqjzqnqqqqe. Give prob of picking 3 n. 1/220 Three letters picked without replacement from {k: 7, r: 9}. Give prob of picking 2 k and 1 r. 27/80 Four letters picked wit
{ "pile_set_name": "DM Mathematics" }
(4). Is -7 + b + (1 - z) composite? False Is (-32285 - 81)*7/(-2) a prime number? False Suppose 5*z - 10 = -4*i, 2*i + 2*z = i + 1. Suppose -5*x - 4*q + 4739 = 0, 3*x - i*q - 4189 + 1353 = 0. Let d = x - 628. Is d composite? True Let h = 87747 + -38014. Is h prime? False Suppose 3*q + 0*q - n - 212 = 0, q + 5*n = 76. Suppose -q = -0*y - y. Let s = y + 120. Is s composite? False Let n = -67 + 59. Let x(g) = -211*g + 45. Is x(n) composite? False Suppose -20*h + 52902 = -14*h. Is h composite? True Let u(j) = 11*j**3 + 11*j**2 - j + 21. Is u(8) a prime number? False Suppose -5*n + 23 = j + 3*j, 2*n + 4 = 5*j. Suppose -3*l - j*r - 334 = -1879, 2*r + 6 = 0. Is l a composite number? True Suppose 2 = p - 0. Suppose -n + 12 = -r, -2*n - 2*n + p*r + 38 = 0. Is 8/(-28) - (-1647)/n composite? True Let i(p) = -p**2 - 10*p + 14. Let o be i(-11). Suppose 0 = -5*m - o*d + 20 + 7, 3*m - 4*d = -7. Is (0 + 102 - -1) + m prime? False Suppose 2*z = -12*z + 7994. Let q = 523 - 247. Let p = z - q. Is p a composite number? True Suppose -s = -c + 2, s + 6*c - 22 = c. Suppose -s*j - 4*n + 108 = 0, 4*j + n - 2*n - 171 = 0. Let h = 115 + j. Is h composite? True Let z(r) = -r**3 + 3*r**2 - 2*r - 2. Let i be z(4). Let h = -13 - i. Suppose -h - 1 = -q. Is q composite? True Suppose 118*b = 136*b - 9162. Is b prime? True Let a(o) = 3*o + 8. Let b be a(6). Let d = b - 16. Suppose -5*n = m - 154, m - 5*n - 134 = d. Is m composite? False Let r be 4*-2*(-12)/16. Suppose -5*i - 2 = -r*i. Is -1*i/4*-1366 a prime number? True Let l be ((-1)/(-2))/(2/4). Suppose 4*o + 52 = 4*x + 20, o = -l. Suppose 3*f = x*f - 732. Is f a prime number? False Is (-10896 - 7)*(2 - 3) composite? False Suppose 205229 = -15*j + 38*j. Is j prime? True Let g(d) = d**3 + 13*d**2 - d. Let x be g(-12). Suppose 0 = 4*k - x - 148. Suppose -5*l + k = -l. Is l prime? True Suppose 542*c - 552*c = -23090. Is c a prime number? True Let q(d) = -d**2 + d + 2. Let p be q(0). Suppose 0 = -w - p*w + 1830. Suppose -2*g - 3*g + w = 0. Is g a prime number? False Suppose -5*o + 30340 = 3*g, -o - 2*g = 158 - 6233. Is o a composite number? True Let x = 9678 + -6452. Is x a prime number? False Suppose -f + 2*b + 12513 = 4*f, 4*b + 10008 = 4*f. Is f composite? False Suppose 4*l = 2*w - 33702, 0 = -l + 6 - 2. Is w composite? True Let c be 9*(-8)/12*(-14)/4. Suppose 5*z = -c + 1, -4*p - z + 2280 = 0. Is p composite? False Suppose 2*g + l + 3*l - 16 = 0, 3*g + 16 = 4*l. Suppose 2*p - 158 = -0*p - 2*x, g = 2*p + 4*x - 158. Is p composite? False Is (-26290)/44*44/(-10) a prime number? False Let y(m) be the third derivative of -m**6/120 + 7*m**5/60 - m**4/24 + 13*m**3/6 - 7*m**2. Let l be y(7). Suppose -46 = l*p - 2524. Is p a composite number? True Let t be (-1)/(2813/(-703) - -4). Suppose -t - 557 = -3*y. Let v = y + -209. Is v composite? False Let r = 17 + -12. Suppose r*a - 2*a = 666. Let s = -95 + a. Is s composite? False Suppose 0 = -u - 3*k + 6*k + 12, u + 4*k = -2. Let v = -263 - -104. Is (u/(-9))/(2/v) a composite number? False Let n(h) = -1021*h + 93. Is n(-4) a composite number? False Suppose 3*s - 1 = 5*h, -6*s + 11 = -3*s + 5*h. Suppose s*y - 537 = -y. Is y a prime number? True Let r(m) be the first derivative of m**2/2 + m + 4. Let y be r(12). Let x = y + 0. Is x prime? True Let o(p) = -p**3 - 12*p**2 - 3*p + 10. Suppose -8 = 3*k - 3*u + 31, -5*k = 2*u + 65. Let b be o(k). Is b + -3 + 1 + 1 prime? False Is ((-3470)/30)/((-3)/18) a composite number? True Let c(m) = -m**3 - 20*m**2 - 19*m - 3. Let t be c(-19). Let x(z) = 28*z**3 + 3*z**2. Let j be x(t). Let w = j + 1352. Is w a composite number? True Let q = -406 + 1107. Is q prime? True Let w(k) = -5*k**3 + 3*k**2 + k + 9. Let f(a) = 3*a**2 - 3*a**2 - 7*a**3 + 3*a - 2*a**3 + 5*a**2 + 19. Let h(j) = 4*f(j) - 7*w(j). Is h(-6) composite? False Suppose -f = -4*d + 5*d - 14478, 5*f = d - 14484. Is d prime? True Let q(r) = 39*r**2 - r + 181. Is q(-27) prime? False Let j(s) = 543*s**2 + 2*s - 55. Is j(4) a prime number? True Suppose 23*l - 28*l - 1700 = 0. Let d = 1171 - 580. Let a = d + l. Is a composite? False Suppose -6*c = 240 - 48. Let g be (c/24)/((-4)/6). Suppose -g*j = -322 + 4. Is j composite? True Let t(k) = -509*k**3 - 7*k + 526*k**3 - k**2 - k - 7. Is t(3) a prime number? True Let r = 9 - 1. Let p(v) = v**3 - 2*v**2 + 9*v - 9. Is p(r) prime? False Let q = -18 - -16. Let a be -1*q/(-3)*-411. Let r = a + -183. Is r prime? False Suppose 0 = -4*v + 3*r + 4142, 4*r + 1029 = v - 0*r. Let g = 1672 - v. Is g a composite number? True Suppose -u + 5*b = -10, 5*u + 3 = -5*b + 23. Let m be (4/(-5))/((-2)/805). Suppose -3*q + u*q = m. Is q composite? True Let p be 5*-1 + (1 - 3). Let a(y) be the first derivative of -y**4/2 - 10*y**3/3 + y**2/2 - 8*y - 21. Is a(p) composite? False Suppose -4*p + 7120 = 3*l, 10266 = 4*l - p + 741. Let r = l + -1182. Is r prime? False Suppose 2*i + 3*v - 4188 = 0, -3*i = 2*v + 2*v - 6283. Is 0 + i/7 - 4/7 prime? False Let x be (-1 - (2 - 4))*2. Let t(m) = m**3 - 2*m**2 - 2*m - 3. Let j be t(3). Suppose -6934 = -4*w + 3*r, -w + x*w + r - 1737 = j. Is w a prime number? False Let b(q) = 101*q + 4. Suppose -3*r - 3*s = -0*s - 30, 2*s - 4 = 0. Suppose 3*d - r = -g, -4*d - 2*g = -7 - 3. Is b(d) a prime number? True Suppose 2*i - 4*n = 24, -4*n - 2 - 2 = 3*i. Suppose a = -5*l - 19, i*a + 13 = 4*l - 3*l. Is 15*(4/6 - l) a prime number? False Let r(z) = z**2 + 6*z + 8. Let i be r(-4). Suppose i = -3*b + 4*b - 2. Suppose -f - 257 = -b*f. Is f prime? True Let t = 7921 + 342. Is t a composite number? False Suppose 3*w - 2 = 4*w, -5*w = f - 10163. Is f prime? False Let q(s) = 17*s**2 - 19*s - 21. Let u be q(-12). Suppose 4*k = 3*z - u, -3*z + 2*k = 5*k - 2676. Is z composite? True Let p(k) = k**3 - 9*k**2 + 11*k - 3. Let v be (-236)/(-28) - 6/14. Let x be p(v). Is (-7)/x + 28/3 a composite number? True Let i(v) = 3868*v**2 + 16*v - 10. Is i(-3) a composite number? True Is 174/957 - 52434*10/(-44) a prime number? False Suppose -5*g - 167 - 203 = 0. Let r = -303 + 142. Let k = g - r. Is k prime? False Suppose -3*w + 12 = 3, -3*z - w = 1395. Let r = 1587 - z. Is r a prime number? True Let z = -11197 - -20939. Is z prime? False Suppose -5*j + 150682 = 4*m, 10*j - 7*j + 6 = 0. Is m composite? True Suppose 2*h + 0*i + i - 1805 = 0, -5*h + 4490 = -5*i. Is h a composite number? True Let r = -12 + 12. Suppose 0 = -5*f - r*f - 40. Is (-204)/f*(-16)/(-12) a prime number? False Suppose -32*b + 25*b = -14. Suppose -3*k + 5*g + 786 = 0, k + 254 = b*k + g. Is k composite? False Suppose 25337 + 55692 = 3*i + 5*s, -s = -4. Is i a prime number? False Let w = 0 - 2. Let n = 17 - 14. Is -127*(n + (-7 - w)) composite? True Let s = 5 - 3. Let x(w) = 2*w**3 - 6*w**s - w**3 + 0*w**3 + 9 - 4*w - w. Is x(7) a prime number? True Suppose -38 = 2*s + 5*o, -4*o - o - 56 = 4*s. Is 4 + (-21)/9*s prime? False Suppose -10*s = -3*i - 12*s + 26457, -5*s = i - 8819. Is i prime? True Let p be (-1)/(4 - (222/(-27))/(-2)). Suppose 11*z - 8210 = p*z. Is z prime? False Let m be (2 - 4/(-18)) + (-28)/126. Suppose -c - 2249 = -m*c. Is c composite? True Let a be (0 - 2) + (1 - -4). Suppose -2*t + r = a*t - 41, -4*t + 5*r = -37. Suppose -3*h + t = -4*u - 41, -u + 2 = 0. Is h prime? True Let l(p) = 0 - 1 + 10*p**2 + 96*p - 97*p. Is l(-1) composite? True Suppose -a = 7*a - 17872. Is a/4*(23 + -21) composite? False Let u(k) = 3*k + 10 - 2*k - 5 - 8. Let v be u(6). Suppose 2*w = 4*d + 346, -v = d + 2. Is w a prime number? True Let s = 840 - 1834. Let i = -540 - s. Is i a composite number? True Is (-115)/46 - (103167/6)/(-3) a prime number? False Let r(i) = i**2 + 12*i + 2. Let s be r(-12). Suppose -l - 1 = 3*x, s*x + l + 1 = x. Is 1 + 258 + x/(-2) prime? False Let a be 3 + 38/(-14) - (-6071)/(-7). Let v = -278 - a. Is v a composite number? True Let f be ((-4356)/(-4))/((-6)/(-4)). Let c be (-6)/9*f/(-1). Is c/2*2/4 a prime number? False Let y(l) = 15259*l**2 - 2*l - 2. Is y(-1) a composite number? False Let a(x) = 41*x**3 + 14*x**2 - 8*x + 15. Is a(6) composite? True Let j = 3 - 3. Suppose 2*l - 5*l - 150 = j. Let p = l - -261. Is p prime? True Let c = -10 + 24. Let w be 4610/c - 2/7. Let a = w - 64. Is a composite? True Let h be 3*((-16)/4 - 3). Let s(z) = 2*z**2 + 7*z + 25. Let f be s(h). Is (f + -2)*(-1)
{ "pile_set_name": "DM Mathematics" }
alculate prob of sequence ooz when three letters picked without replacement from zjfojjjjjoyjooo. 2/273 Three letters picked without replacement from {i: 4, x: 1, m: 1, n: 6, e: 4, o: 3}. Give prob of sequence one. 4/323 What is prob of sequence sdj when three letters picked without replacement from {s: 1, j: 2, d: 2, a: 1}? 1/30 What is prob of sequence eek when three letters picked without replacement from uezkzegeezeeeeeuee? 55/2448 What is prob of sequence oin when three letters picked without replacement from {i: 1, y: 4, p: 1, n: 2, o: 1}? 1/252 Two letters picked without replacement from aoaoozoz. What is prob of sequence zo? 1/7 Four letters picked without replacement from nnaawannndwgadwwgxgn. What is prob of sequence ggnn? 1/646 Two letters picked without replacement from {r: 6, x: 4, j: 1, y: 4, s: 2}. What is prob of sequence rj? 3/136 Two letters picked without replacement from {r: 2, g: 3, e: 10}. Give prob of sequence gg. 1/35 What is prob of sequence rr when two letters picked without replacement from {r: 2, o: 2, k: 5}? 1/36 Calculate prob of sequence nvnn when four letters picked without replacement from bninvvibbnhhi. 1/1430 Calculate prob of sequence sxs when three letters picked without replacement from {f: 5, s: 8, x: 4}. 14/255 Three letters picked without replacement from xhxhhhahhhwwhxxhh. Give prob of sequence xah. 1/102 Calculate prob of sequence uh when two letters picked without replacement from {a: 1, u: 2, h: 3, y: 1}. 1/7 Three letters picked without replacement from {b: 4, d: 5, e: 3, g: 1}. Give prob of sequence eed. 5/286 Two letters picked without replacement from {k: 2, v: 3, s: 4, b: 1, f: 2, u: 8}. What is prob of sequence ks? 2/95 Four letters picked without replacement from rrrrryyryryyyrrrrr. Give prob of sequence ryrr. 11/102 Calculate prob of sequence ooo when three letters picked without replacement from {o: 5, d: 2}. 2/7 Four letters picked without replacement from {u: 5, k: 3, g: 1}. What is prob of sequence ukkg? 5/504 What is prob of sequence cc when two letters picked without replacement from {c: 5, q: 5}? 2/9 Calculate prob of sequence xep when three letters picked without replacement from {x: 1, l: 1, y: 5, e: 3, p: 4, z: 4}. 1/408 Two letters picked without replacement from ggqhhggy. What is prob of sequence hg? 1/7 Two letters picked without replacement from jjjjjjjjjlljjjjjjljj. What is prob of sequence ll? 3/190 Two letters picked without replacement from jkjx. What is prob of sequence jx? 1/6 Calculate prob of sequence emm when three letters picked without replacement from mxmxttettemm. 1/55 Calculate prob of sequence lby when three letters picked without replacement from ybblllbbffbf. 1/88 What is prob of sequence dn when two letters picked without replacement from mmdmmddmnmddmmmdddd? 1/38 Two letters picked without replacement from iriiiioojriijiiijfi. What is prob of sequence ro? 2/171 Two letters picked without replacement from {z: 1, o: 1, s: 2}. What is prob of sequence oz? 1/12 Two letters picked without replacement from {a: 2, j: 1, c: 2, l: 4}. What is prob of sequence jc? 1/36 Three letters picked without replacement from {s: 8, a: 2, m: 5}. What is prob of sequence mma? 4/273 What is prob of sequence ry when two letters picked without replacement from {y: 2, x: 5, r: 4}? 4/55 Calculate prob of sequence aa when two letters picked without replacement from whthaa. 1/15 Three letters picked without replacement from {y: 7, d: 1, g: 4, k: 1}. Give prob of sequence kyd. 7/1716 Calculate prob of sequence ddh when three letters picked without replacement from hdllhhldhldlllhd. 1/56 Two letters picked without replacement from {m: 1, a: 1, n: 5, r: 4, s: 5}. Give prob of sequence ar. 1/60 Two letters picked without replacement from {g: 7, o: 2}. What is prob of sequence gg? 7/12 What is prob of sequence ccnc when four letters picked without replacement from nncow? 0 Calculate prob of sequence bev when three letters picked without replacement from wvgwgwbbvbwogge. 1/455 Three letters picked without replacement from {u: 16, y: 2}. Give prob of sequence uuu. 35/51 What is prob of sequence rg when two letters picked without replacement from {r: 5, a: 1, s: 1, g: 1, e: 1, q: 3}? 5/132 Three letters picked without replacement from rrrrgrerfgeg. Give prob of sequence fgr. 3/220 Calculate prob of sequence ee when two letters picked without replacement from {n: 1, e: 2}. 1/3 Two letters picked without replacement from hhzthhae. Give prob of sequence ht. 1/14 What is prob of sequence ltt when three letters picked without replacement from hlhthhtih? 1/252 What is prob of sequence bbgg when four letters picked without replacement from {g: 3, b: 2}? 1/10 What is prob of sequence ur when two letters picked without replacement from uuruuru? 5/21 Four letters picked without replacement from ncunnnc. Give prob of sequence uccc. 0 What is prob of sequence kpp when three letters picked without replacement from {p: 8, k: 9, v: 2}? 28/323 Four letters picked without replacement from hddddhh. What is prob of sequence hddd? 3/35 What is prob of sequence lbl when three letters picked without replacement from llklllllblblkllllllk? 7/114 Four letters picked without replacement from {z: 4, t: 7}. What is prob of sequence zzzz? 1/330 Two letters picked without replacement from {a: 1, s: 1, i: 1, q: 6}. What is prob of sequence qs? 1/12 What is prob of sequence yp when two letters picked without replacement from ykwprqq? 1/42 Two letters picked without replacement from {v: 1, m: 2, t: 3, i: 1}. What is prob of sequence mt? 1/7 What is prob of sequence ie when two letters picked without replacement from ieii? 1/4 Calculate prob of sequence hwh when three letters picked without replacement from {w: 3, h: 2, a: 4}. 1/84 What is prob of sequence ccdd when four letters picked without replacement from cdmdbmbc? 1/420 Two letters picked without replacement from mmmmmmmmmm. What is prob of sequence mm? 1 Two letters picked without replacement from {v: 1, y: 1, n: 9}. What is prob of sequence vy? 1/110 What is prob of sequence lmme when four letters picked without replacement from demddladadeedddldde? 0 Three letters picked without replacement from {u: 5, o: 2}. What is prob of sequence uou? 4/21 What is prob of sequence ddhd when four letters picked without replacement from {e: 4, t: 6, n: 2, h: 1, d: 4}? 1/2380 Three letters picked without replacement from {a: 2, b: 7, p: 4, y: 1, o: 4}. Give prob of sequence yap. 1/612 Two letters picked without replacement from {r: 5, o: 13}. Give prob of sequence oo. 26/51 What is prob of sequence nnbb when four letters picked without replacement from {i: 3, n: 2, t: 8, b: 6}? 5/7752 Calculate prob of sequence iiu when three letters picked without replacement from {i: 2, u: 1}. 1/3 Two letters picked without replacement from {v: 10, k: 4, z: 2}. Give prob of sequence kz. 1/30 What is prob of sequence qd when two letters picked without replacement from eeyudqny? 1/56 What is prob of sequence scc when three letters picked without replacement from {c: 2, d: 1, o: 4, s: 2, m: 1}? 1/180 What is prob of sequence jzjz when four letters picked without replacement from {z: 1, j: 14}? 0 What is prob of sequence qq when two letters picked without replacement from {q: 2, p: 4, c: 1, i: 1, u: 1, e: 3}? 1/66 What is prob of sequence xn when two letters picked without replacement from vvnnzvvzzvvvxzzzz? 1/136 Four letters picked without replacement from xvoogxgkxx. Give prob of sequence vkvx. 0 Three letters picked without replacement from {d: 3, i: 1, q: 12, e: 2, y: 1}. What is prob of sequence ied? 1/969 Three letters picked without replacement from {e: 3, u: 3, r: 5, f: 7, x: 1}. What is prob of sequence uef? 7/646 Four letters picked without replacement from {n: 4, d: 6, x: 2, b: 4, a: 3, w: 1}. What is prob of sequence abna? 4/4845 What is prob of sequence be when two letters picked without replacement from bdvadwabbvabbbbebv? 4/153 What is prob of sequence jdd when three letters picked without replacement from dddjjljj? 1/14 Calculate prob of sequence fn when two letters picked without replacement from {s: 1, f: 3, n: 3, k: 5, z: 3, i: 3}. 1/34 Calculate prob of sequence tlvt when four le
{ "pile_set_name": "DM Mathematics" }
at is the second smallest value in 9602, 2, 1/7? 2 What is the biggest value in -5, 165, -2.5, 0.2, -1/4, -1.3? 165 What is the third smallest value in 1.218, -5, 2/3? 1.218 What is the second biggest value in 1, 32, 1/3, 10, 11/25? 10 What is the second smallest value in -4, -12, 236, 1/5, -0.4, 1? -4 Which is the fourth biggest value? (a) -2 (b) -9871/5 (c) -0.3 (d) 0.5 b Which is the second biggest value? (a) -1/2 (b) 55863 (c) -4 a What is the second biggest value in 0.13, -7583, -4, -0.3, 0? 0 What is the third smallest value in -0.5, -1/3, 0.1, 1/7931? 1/7931 Which is the second smallest value? (a) -16/11 (b) 2/7 (c) 1/14 c What is the sixth biggest value in 7, -10, -3, 4, -1/13, 0? -10 Which is the fourth smallest value? (a) 6.8 (b) -2 (c) 9 (d) 5 (e) 0.07 a Which is the fourth smallest value? (a) 3 (b) 2 (c) 1 (d) -2/25 (e) 0.035 b What is the fifth smallest value in 1/9, 1/6, -1/3, -8, 4, 8/7? 8/7 What is the third smallest value in -8805, 4, 0, -23/3? 0 Which is the biggest value? (a) -1/2 (b) -23/5 (c) -2/117 (d) 0.03 d What is the smallest value in 4/9, 4, 0.3, -5/2, 4/237, -1.1? -5/2 What is the second biggest value in 0.182, 6, 4, 4/3? 4 Which is the third smallest value? (a) -2 (b) 88 (c) 38 (d) 1/2 c Which is the third biggest value? (a) -1889 (b) 4/51 (c) 2/17 (d) -0.3 d What is the smallest value in -2/51, 65, 8? -2/51 Which is the third smallest value? (a) 2/23897 (b) -11 (c) 4/15 c Which is the third smallest value? (a) -3 (b) 11690 (c) -28 (d) 0 d Which is the third smallest value? (a) 2 (b) -2 (c) 12095 (d) -0.3 (e) -0.07 e Which is the sixth smallest value? (a) -2/5 (b) 0.2 (c) -0.12 (d) 408 (e) -3 (f) 17 d Which is the fifth biggest value? (a) -1269 (b) -1/4 (c) -5 (d) -0.3 (e) 3 (f) -0.1 c Which is the third biggest value? (a) -71/6 (b) 2/5 (c) -2/7 (d) -5 d What is the fifth smallest value in -7, -0.4, 31, -2/3, -0.2? 31 What is the fifth smallest value in -0.2, 2, 7.7, -4, 6/5, -1? 2 What is the third biggest value in 1, -5, -4/3, -5/4, 2/89, -0.5? -0.5 Which is the second biggest value? (a) 0.4 (b) -4/3 (c) -1/6 (d) -1/5 (e) -1.3172 c Which is the third biggest value? (a) 2/7 (b) 0.05 (c) -5 (d) 3.4 (e) -0.3 (f) -0.4 b Which is the biggest value? (a) 0.4 (b) -0.185 (c) -17 a Which is the third smallest value? (a) 18/5 (b) 112 (c) -1/3 b Which is the third biggest value? (a) 45 (b) 1/6 (c) -31 (d) 2/29 (e) -0.2 d What is the smallest value in 12.03, -1, -1/4, -3? -3 Which is the smallest value? (a) -1 (b) -2/2097 (c) 0.5 (d) 2/3 a Which is the third biggest value? (a) -787 (b) 2 (c) -15 (d) -1 (e) 3 d What is the second biggest value in 0.1, 2307, 0? 0.1 What is the fifth biggest value in -1070, 4, 2/21, -3, -59? -1070 Which is the biggest value? (a) -97 (b) 2 (c) -3 (d) 548 (e) -5 d Which is the biggest value? (a) 3 (b) 236 (c) 1/6 (d) 1/51 b What is the smallest value in 0.03, 1.09, -0.21? -0.21 What is the third biggest value in 5, 0, -107522? -107522 Which is the third smallest value? (a) -2 (b) -6/5 (c) -7839 b Which is the second smallest value? (a) -3/2 (b) 1 (c) 29 (d) -3/16 (e) -1/9 d What is the smallest value in -0.4, -0.6, -26, 25/2, 1? -26 Which is the third smallest value? (a) 2/7 (b) 3/2 (c) 2.8 (d) -3 (e) 6/61 a What is the second biggest value in -0.1, -762, -4? -4 Which is the biggest value? (a) -1826 (b) 3 (c) -14 (d) 5 d What is the third biggest value in -3, 1217.28, 0.3? -3 Which is the second biggest value? (a) 233/5 (b) -43 (c) 5 (d) 3 c Which is the smallest value? (a) 1/5 (b) 7.9 (c) 1.4 (d) -1.3 d What is the fourth smallest value in -22676, 1/7, -0.3, -5? 1/7 Which is the second biggest value? (a) 1/3 (b) 2.89 (c) -0.2 (d) 3/4 (e) 1 e What is the fifth biggest value in -4/3, -84981, -5, -0.1, -1? -84981 Which is the fourth biggest value? (a) -0.025 (b) -1/5 (c) -2 (d) 27 (e) -4 c What is the fourth biggest value in 0, 7/2, 62, 6, -3/4, -1/8? 0 Which is the third smallest value? (a) 247/5 (b) 6/37 (c) -2/17 a What is the fifth smallest value in 3, -3, 50, 2, 1, -4? 3 What is the fourth smallest value in -4, -3, -0.093, 0.021, 0.5, -5? -0.093 What is the smallest value in -0.5, -4.16, -2, 0.2, 0.1? -4.16 Which is the fifth smallest value? (a) 0.1 (b) -0.3 (c) -2.58 (d) -1 (e) -1/3 a Which is the second biggest value? (a) -3 (b) 1/4 (c) 17.974 b Which is the fourth smallest value? (a) -0.33 (b) -2/189 (c) 415 (d) 2 c What is the smallest value in -2/25, 13, -2/9, -187/4? -187/4 What is the third smallest value in 2/11, 1, 16/3, -4/7, 0.6, 5? 0.6 Which is the second biggest value? (a) -2/13 (b) -368.2 (c) 1 (d) -1/4 (e) -3 (f) 1/4 f What is the second biggest value in -2.8, 1822, -1/7? -1/7 What is the third smallest value in 1/2, 0, -327, -2? 0 What is the biggest value in -2/5, 3430.9, -0.2? 3430.9 Which is the second biggest value? (a) 8 (b) 4 (c) -5 (d) 2 (e) -4 (f) 1/2 b Which is the biggest value? (a) -13 (b) 0 (c) 1/15 (d) -6/17 (e) -1/2 (f) 1/4 f What is the biggest value in 301, -3, -3/2, 1/4? 301 Which is the biggest value? (a) -253 (b) -4/7 (c) 22 (d) 0 c Which is the second biggest value? (a) -39 (b) 50/7 (c) -3 (d) 5 (e) 1.3 d What is the second biggest value in 1515/14, 0.6, -4? 0.6 Which is the third smallest value? (a) 10 (b) 1546 (c) 0.3 (d) -2 a Which is the biggest value? (a) -0.1 (b) 5 (c) -157960 b What is the third biggest value in 24, 5, 42/5? 5 Which is the fourth smallest value? (a) 0.1 (b) -0.2 (c) 2.4 (d) 101 (e) 16 e Which is the biggest value? (a) 5 (b) -3 (c) 33.2 (d) -0.1 c What is the smallest value in -3, 3/4, -22, 1/6, 1/7? -22 What is the second smallest value in -5/2, 124, 0, 3, -11? -5/2 Which is the biggest value? (a) -0.5 (b) 2.4 (c) -2 (d) 0.02 b Which is the smallest value? (a) -0.5 (b) -2 (c) 1488 (d) -1/9 (e) -4 (f) -4/5 e Which is the smallest value? (a) 0.5 (b) 4.23 (c) 0.1 (d) 0.72 (e) -4 e Which is the second smallest value? (a) 2.5 (b) 8 (c) 0 (d) 1 (e) 24 d What is the third biggest value in 556, -1/5, 0.1, -2, 3/5? 0.1 Which is the smallest value? (a) -294 (b) -36/7 (c) 5 a Which is the sixth biggest value? (a) 3 (b) -0.6 (c) -3 (d) 0.26 (e) 2/65 (f) 2/35 c Which is the third biggest value? (a) -2 (b) -0.6 (c) -3/2 (d) -510 (e) -0.3 c Which is the third biggest value? (a) 2/33 (b) -2/15 (c) -5 (d) -14 (e) 5 b Which is the smallest value? (a) 241/2 (b) 5 (c) -1 (d) 0.02 c What is the fourth smallest value in -9, -1/4, 9/37, -2/17, -5? -2/17 Which is the third smallest value? (a) 0 (b) 1365/2 (c) -1 (d) 0.02 d Which is the fourth smallest value? (a) -27 (b) 1/11 (c) 4 (d) 3/5 (e) 160 c Which is the third biggest value? (a) -12 (b) 3 (c) -2/78661 a What is the fourth smallest value in 2/13, -1/6, -796, 0.8? 0.8 What is the biggest value in 52, -46, 2/17? 52 What is the third biggest value in 1, -4, -242, 1/4? -4 What is the fifth biggest value in 0.2, 0.24, -4, 2/19, 9? -4 Which is the biggest value? (a) -3/79723 (b) 2 (c) -2/11 b What is the third biggest value in 0.5, -2/7, -3, -6, 0.4, -1/457? -1/457 Which is the second smallest value? (a) -0.1 (b) 0.4 (c) 10 (d) 18 (e) 3 b Which is the second smallest value? (a) -39.5 (b) 399 (c) -5 c What is the third smallest value in 2/15, 782, 0.3? 782 Which is the fifth biggest value? (a) -10/633 (b) 0.3 (c) 5 (d) -12 (e) 4 d Which is the second biggest value? (a) -4 (b) -26063 (c) 1 (d) -0.2 (e) 5 c What is the smallest value in -3/7, 5, -0.6, -51, -3, -1/6? -51 Which is the third biggest value? (a) 0.5 (b) 28 (c) -1/4 (d) 2 (e) 0.03 a Which is the smallest value? (a) -6/5 (b) 1/6 (c) -2/87 (d) 1/9 (e) 5 a Which is the fourth smallest value? (a) -5 (b) -2/11 (c) -2/101 (d) -0.5 (e) 0.2 (f) -392 b Which is the smallest value? (a) 3 (b) 2/15 (c) -6 (d) 5.736 c Which is the third smallest value? (a) -3 (b) -4/13 (c) 22 (d) -1/3 b Which is the smallest value? (a) 74/3 (b) -7/5 (c) 1/3 (d) -2 (e) -0.4 (f) 4 d Which is the second biggest value? (a) 0.07 (b) 23 (c) -0.1 (d) -0.5 (e) 1/390 a Which is the seco
{ "pile_set_name": "DM Mathematics" }
(-6). Let v(a) = 232*a + 10. What are the prime factors of v(g)? 2, 353 Let t(f) = -1040*f + 20866. List the prime factors of t(0). 2, 10433 Let y(x) = x**2 - 11*x + 14. Suppose -5*q + 25 = 5*w, -2*w + 25 = 3*q - w. Let t be y(q). Suppose -8*u + 708 = t*u. List the prime factors of u. 59 Let w = -334 - -342. Suppose 1134 = w*y - 2*y. What are the prime factors of y? 3, 7 Suppose -4091 = -z - 2*q, 3050 = 5*z + 4*q - 17393. What are the prime factors of z? 61, 67 Let y be 943 + (-6 - (5 + -9)). Let l = -428 + y. What are the prime factors of l? 3, 19 Suppose 0 = -21*u + 20*u - 5*c + 2039, 3 = -c. List the prime factors of u. 2, 13, 79 Suppose 23*j - 3545509 - 1159479 = -45*j. What are the prime factors of j? 69191 Let l be (55/(-20))/(2/(-8)). Suppose 0 = x + g - 44 - l, -10 = -5*g. Suppose -x = -b + 57. What are the prime factors of b? 2, 5, 11 Suppose 0 = -2*c - 3*z + 566 + 490, -z - 2 = 0. What are the prime factors of c? 3, 59 Let c(m) = -3*m**2 - 4*m - 2. Let k be c(-3). Let f = 704 - 698. Let g = f - k. What are the prime factors of g? 23 Suppose k - 97 = 2*k. Suppose -262 = -s - 39. Let r = k + s. List the prime factors of r. 2, 3, 7 Suppose -12 + 54 = -3*d. Let q(w) = -w**3 - 14*w**2 + 59. List the prime factors of q(d). 59 Let i(x) = -x**2 + 8*x - 6. Let v be i(6). Let s be (33 - 8 - 15)*122. Suppose -v*l + l = -s. List the prime factors of l. 2, 61 Let j(r) = -3*r**2 - 3*r + 10. Let n be j(5). Let b = -201 + 385. Let l = b + n. List the prime factors of l. 2, 13 Let j be -3*(2 + -3)/(-3) - 111. Let r = j + 372. What are the prime factors of r? 2, 5, 13 Suppose 0 = 4*v + 5*j + 9, -2*j = -4*j - 2. Let w be (-18)/9 + 0 + (6 - v). Suppose -2*z + 3*t - 639 = -w*z, -3*z + 2*t = -624. What are the prime factors of z? 2, 3, 5, 7 Let b(s) = 2*s**3 - s**2 + 6*s - 758. Let z be b(0). Let r = -342 - z. What are the prime factors of r? 2, 13 Let q be ((-6)/(-7))/(6 + (-1500)/252). Suppose 0 = 17*s - q*s + 686. What are the prime factors of s? 2, 7 Let b(r) = 59*r**2 + 41*r + 248. List the prime factors of b(-16). 2, 11, 167 Suppose -v - 21*k + 726 = -19*k, 5*k - 3650 = -5*v. What are the prime factors of v? 2, 367 List the prime factors of 20/(-3)*(5011/(-4) - 11). 5, 337 Let i(f) = -28*f**3 + 34*f**2 + 2*f - 66. Let z(v) = -9*v**3 + 11*v**2 + v - 21. Let c(k) = 2*i(k) - 7*z(k). List the prime factors of c(6). 3, 5, 79 Let c(o) = o + 18. Let z be c(-12). Let h(l) be the first derivative of -l**4/4 + 5*l**3/3 + 6*l**2 - 12*l - 3. What are the prime factors of h(z)? 2, 3 List the prime factors of -10 + 14/1 + (-2 - -22987). 3, 79, 97 Let k(y) = 2*y**3 + 61*y**2 + 32*y + 71. Let c be k(-30). List the prime factors of (-54 - -32)*c/(-2). 11 Let o = -44 + 44. Suppose -13*y + 6*y + 1008 = o. Suppose -7*n = y - 984. List the prime factors of n. 2, 3, 5 Let r = 90 + 45. Let v(w) = -2*w**2 + r*w**3 - 1 + 0*w**2 + 4*w - 29*w**3. What are the prime factors of v(1)? 107 Suppose 6*v - 294 - 36 = 0. Let h(d) = -v - 4*d - 2*d**2 + 56 - 4*d - 5*d. List the prime factors of h(-6). 7 Let c(d) = -d**3 - 3*d**2 - 68*d - 36. List the prime factors of c(-23). 2, 3, 1009 Let r be (-4 - 23/(-2))/((-1)/(-26)). Let l = 551 - r. List the prime factors of l. 2, 89 Suppose 2*a + 3*r + 28 = -134, 342 = -4*a + 3*r. Let u = a + 99. Suppose u*d + 4*d = 1330. List the prime factors of d. 2, 5, 7 Suppose -123*s + 38927 = -120*s + u, -3*s + 38951 = -5*u. List the prime factors of s. 19, 683 Let q be 288/14*140/8. Let o be ((-2)/8)/((-5)/340). Suppose -o*p = -11*p - q. List the prime factors of p. 2, 3, 5 Let d(b) = 133*b**2 - 13*b + 31. List the prime factors of d(4). 7, 43 Let i(b) = 246*b + 10025. List the prime factors of i(0). 5, 401 List the prime factors of (-84)/72 + 496300/24. 2, 7, 211 Let h(s) = -2*s**2 - 4*s + 36. Let c be h(-5). Suppose 5*p - 7359 = -c*p. List the prime factors of p. 3, 223 Let d(g) = g**3 - 19*g**2 + 48*g - 42. List the prime factors of d(22). 2, 3, 137 What are the prime factors of (-291095)/(-2)*(-500)/(-1250)? 7, 8317 Let o be 0 - -1 - (-7 - -4). Let n be (3 - -10) + o/2. What are the prime factors of 1 + 231/5 - 3/n? 47 Let b(y) be the third derivative of 11*y**5/10 - 3*y**3/2 + 172*y**2. List the prime factors of b(3). 3, 5, 13 Let l be -1 - 11/((-44)/36). What are the prime factors of (-53*(-6)/l)/(18/96)? 2, 53 What are the prime factors of (-22)/44*42 - -78710? 13, 6053 Suppose -3096*o + 90130 = -3086*o. What are the prime factors of o? 9013 What are the prime factors of (-7 - 2)*58475/(-225)? 2339 Let v(a) = -1554*a + 36. Let t be v(-3). What are the prime factors of t/8 - (-65)/(-52)? 2, 293 Let q be (-112784)/(-40) + 2/5. Suppose q = 3*u - 1269. List the prime factors of u. 29, 47 Let t(r) = 14*r - 19. Let k be t(11). Suppose 3*w = 5*n - k, n - 5*w = -n + 35. Let i = 65 - n. What are the prime factors of i? 5, 7 Suppose 3*j - 567 = 2*g, j = g + 10 + 180. Suppose -1140 = j*k - 190*k. List the prime factors of k. 2, 5, 19 Let y(q) = 7903*q - 405. What are the prime factors of y(1)? 2, 23, 163 Let n(g) = -91*g + 429. What are the prime factors of n(-30)? 3, 13 List the prime factors of 247624/468 - -3*1/(-27). 23 Let l = -6358 + 36477. What are the prime factors of l? 30119 Let c = 1978 + 106. What are the prime factors of c? 2, 521 Suppose 0 = -y - 7 + 9. Suppose -2*f - 278 = -m, -5*m - f = -y*f - 1390. List the prime factors of m. 2, 139 Let l = -2550 + 4245. Let r = -1195 + l. List the prime factors of r. 2, 5 Suppose -51*m + 97*m = 25484. List the prime factors of m. 2, 277 Let u(k) = k**2 - 3*k + 156. Let d be 0/(-3)*((-14)/4 + 3). List the prime factors of u(d). 2, 3, 13 Let v(w) = 109*w**2 + 16*w - 1. Suppose h - 7 + 9 = 0, 16 = -5*r - 3*h. List the prime factors of v(r). 13, 31 Let c(z) = -z**3 - 16*z**2 - 159*z - 8. What are the prime factors of c(-13)? 2, 97 Let i = 1668 + -754. What are the prime factors of (-1)/((-4)/i*18/36)? 457 Suppose 23*f = 25*f - 112. Suppose f*n = 54*n + 1456. Suppose -6*v - 188 = -n. List the prime factors of v. 2, 3, 5 Let u(p) = 2*p - 8. Let q be u(-4). Let v = 6 + q. Let j = v - -109. What are the prime factors of j? 3, 11 Let b = -1166 + 1648. Suppose -486*h + 356 = -b*h. What are the prime factors of h? 89 Suppose 5*d = -395*p + 390*p + 158750, 63496 = 2*p + 3*d. List the prime factors of p. 2, 15877 Let h be (0 - -5)*(2 + (-24)/15). Let v be ((-2)/(-4) - 0)*(h - 12). Let r(y) = -2*y**3 - 6*y**2 + 3*y - 15. List the prime factors of r(v). 2, 5, 7 Let y(o) = -o**3 - 40*o**2 - 15*o + 124. Let v be y(-39). Let a = 180 - v. List the prime factors of a. 2, 31 Suppose f = 2*o, 3*o + 3*f + 10 = 1. Let m = 17 - o. Let w = 32 + m. What are the prime factors of w? 2, 5 Let y = 19444 - 13082. What are the prime factors of y? 2, 3181 Let v = 5617 - -27147. What are the prime factors of v? 2, 8191 Let w = 241 - 259. What are the prime factors of 722 + -1 + w/(-3)? 727 Suppose 43*w - 38*w = 3*t - 28418, -9471 = -t + 2*w. What are the prime factors of t? 19, 499 Let v(k) = -44*k + 27. Let u be v(-13). Suppose -2*j - 3*j + 1490 = -5*y, -y = 2*j - u. What are the prime factors of j? 13, 23 Suppose 50*b - 212*b = -519048. List the prime factors of b. 2, 3, 89 Suppose 13*q = 14585 - 2326. Let y = q + 269. What are the prime factors of y? 2, 3, 101 Let w = -41185 + 71569. List the prime factors of w. 2, 3, 211 Let r = 236 + -225. Let a = -142 - -252. Suppose r*u - 231 - a = 0. List the prime factors of u. 31 Suppose 3*n = -4*b + 2969, -7*b + 2*b = 20. What are the prime factors of n? 5, 199 Let l be ((-6080)/6)/((-4)/(-12)). List the prime factors of ((-112)/(-140))/((-2)/l). 2, 19 Let n(i) = -2*i - 41. Let o be n(-22). Suppose -m - 30 = -5*k, 5*k + 3*m + 5 = o*k. Suppose -b = l - 24, k*l - 2*b - 88 = b. List the prime factors of l. 2, 5 Suppose -8 = 4*y, -182 = -4*v + 4*y + 466. Suppose 10*x - 6*x = v. What are the prime factors of x? 2, 5 Let k(j) = 4*j**2 + 6*j - 6. Suppose -x + 5*s = 7, 7*x - 5*s = 3*x + 2. What are the prime factors of k(x)? 2, 3 Let h(i) = i**3 - 10*i**2 + 6*i + 13. Let v be (2/8)/((-5)/(-60) - 0). Suppose y + 5*n + 10 = 0, -5*y - n + 34 = v*n. What are the prime factors of h(y)? 73 Let n(d) = -d**3 + 14*d**2 + 3*d - 12. Let g be n(14). Let s = 44 - g. Let y(h) = 6*h + 7. What are the prime factor
{ "pile_set_name": "DM Mathematics" }
47, -370, -493? -616 What is next in 2, -13, -50, -121, -238, -413, -658, -985? -1406 What is the next term in 40754, 81507, 122260? 163013 What comes next: -1640, -1651, -1674, -1715, -1780? -1875 What is next in 180, 202, 242, 300, 376? 470 What is next in -8059, -8060, -8061, -8062, -8063? -8064 What comes next: -38, -57, -80, -107? -138 What is next in -35, -82, -143, -224, -331, -470, -647, -868? -1139 What is the next term in -7, -9, -13, -19, -27? -37 What comes next: -2312, -2308, -2294, -2264, -2212, -2132, -2018? -1864 What is next in -469, -458, -447, -436, -425, -414? -403 What is next in -36, -53, -72, -93, -116, -141, -168? -197 What is the next term in -60, -87, -136, -213, -324, -475, -672? -921 What is next in -3161, -6321, -9481, -12641, -15801? -18961 What comes next: 173, 140, 85, 8, -91, -212, -355? -520 What is the next term in 17, 10, -1, -16, -35, -58, -85? -116 What comes next: -37, -78, -119? -160 What is the next term in -20, -31, -66, -137, -256, -435, -686? -1021 What is next in 39, 224, 721, 1686, 3275, 5644? 8949 What is the next term in -543, -1084, -1625, -2166? -2707 What comes next: 23, 58, 85, 98, 91, 58, -7, -110? -257 What is next in 456, 1842, 4152, 7386, 11544, 16626, 22632? 29562 What comes next: 144, 294, 432, 552, 648, 714, 744? 732 What is the next term in -12, -75, -176, -321, -516, -767, -1080? -1461 What is the next term in -23, -76, -165, -290, -451, -648? -881 What is the next term in -110, -103, -94, -83, -70, -55? -38 What comes next: 309, 600, 901, 1218, 1557, 1924? 2325 What is the next term in -1306, -2610, -3914? -5218 What comes next: -9, -21, -11, 33, 123, 271? 489 What comes next: 15, 61, 113, 171, 235, 305, 381? 463 What is next in 15, 29, 53, 93, 155, 245, 369, 533? 743 What comes next: 118, 108, 90, 64, 30? -12 What comes next: 16, 75, 170, 307, 492? 731 What comes next: -425, -850, -1275, -1700? -2125 What is next in 250, 502, 754, 1006, 1258, 1510? 1762 What is the next term in -1412, -1411, -1410, -1409, -1408? -1407 What is next in 38, 114, 222, 350, 486, 618, 734? 822 What comes next: 413, 411, 409, 407? 405 What is the next term in 70, 71, 72? 73 What is next in 0, 4, 10, 18, 28? 40 What comes next: -1, 0, 1? 2 What is next in 1597, 1612, 1627, 1642, 1657, 1672? 1687 What comes next: -1111, -1112, -1113, -1114, -1115? -1116 What is next in -170, -346, -522, -698, -874? -1050 What is next in -1810, -1822, -1846, -1888, -1954, -2050, -2182, -2356? -2578 What is the next term in 4, 7, 6, 1? -8 What is the next term in -19, 98, 215, 332, 449? 566 What comes next: -10, -1, 8, 17, 26? 35 What is next in 296, 297, 298, 299? 300 What comes next: 77, 173, 269, 365, 461, 557? 653 What is next in 17, 21, 9, -19, -63, -123, -199? -291 What is the next term in -90, -86, -96, -132, -206, -330, -516, -776? -1122 What is next in -172, -355, -542, -733, -928? -1127 What is the next term in 98, 124, 152, 182, 214, 248, 284? 322 What comes next: 1262, 2527, 3792, 5057? 6322 What is the next term in 17, 13, -1, -31, -83, -163, -277, -431? -631 What is the next term in -240, -365, -490, -615, -740, -865? -990 What comes next: -34, -37, -40? -43 What is next in -15, -60, -137, -246, -387, -560, -765? -1002 What is the next term in -916, -1842, -2768? -3694 What comes next: 793, 789, 785, 781? 777 What is the next term in -2188, -2190, -2194, -2200, -2208, -2218? -2230 What comes next: 113, 159, 205, 251, 297, 343? 389 What is next in -12, 9, 50, 117, 216? 353 What comes next: 91, 90, 87, 82, 75, 66? 55 What is next in -26, -33, -36, -35, -30, -21, -8? 9 What is next in 0, -9, -26, -51, -84, -125? -174 What is next in -27, -57, -75, -75, -51, 3, 93, 225? 405 What is next in 12, -29, -94, -177, -272? -373 What is the next term in 12777, 12778, 12779, 12780? 12781 What is next in -1, 4, 17, 38, 67, 104? 149 What is next in 159, 168, 179, 192, 207, 224? 243 What comes next: -43, -37, -13, 41, 137, 287, 503? 797 What comes next: 233, 211, 175, 119, 37? -77 What is the next term in -16, -4, 34, 110, 236, 424, 686? 1034 What comes next: -6, 19, 46, 75, 106, 139? 174 What comes next: -927, -1853, -2779, -3705, -4631, -5557? -6483 What is next in -46, -50, -54, -58? -62 What is next in 32, 93, 154? 215 What is the next term in -17, -33, -49? -65 What is next in -51, -113, -201, -321, -479, -681, -933, -1241? -1611 What comes next: -15141, -30281, -45421? -60561 What is next in -5467, -5466, -5465? -5464 What is next in -161, -160, -159, -158, -157, -156? -155 What is the next term in 109, 432, 969, 1720, 2685, 3864, 5257? 6864 What is next in -130, -259, -388, -517? -646 What comes next: 14185, 14190, 14205, 14236, 14289, 14370, 14485, 14640? 14841 What is next in 132, 515, 1152, 2043, 3188, 4587, 6240? 8147 What is next in 1399, 1398, 1395, 1390? 1383 What comes next: 440, 437, 434, 431? 428 What is the next term in 191, 190, 193, 200, 211? 226 What is the next term in -136, -251, -364, -475, -584, -691? -796 What is the next term in 239, 486, 733, 980, 1227, 1474? 1721 What is the next term in 26, 41, 56, 71? 86 What is next in -51, -105, -161, -219, -279? -341 What is next in -7269, -14539, -21809, -29079, -36349? -43619 What comes next: 298, 1195, 2696, 4807, 7534, 10883? 14860 What is the next term in 15, 7, -5, -21, -41? -65 What is the next term in 346, 692, 1040, 1390, 1742, 2096? 2452 What is the next term in 2023, 2026, 2031, 2038, 2047, 2058, 2071? 2086 What is next in 3862, 3863, 3864, 3865? 3866 What is next in -5, -32, -81, -152, -245, -360? -497 What comes next: -164, -145, -128, -113? -100 What is next in -193, -282, -371, -460? -549 What comes next: 23, 75, 167, 305, 495, 743? 1055 What comes next: 461, 467, 475, 485, 497? 511 What is the next term in -262, -268, -274, -280, -286? -292 What comes next: 48, 107, 196, 309, 440, 583, 732, 881? 1024 What is the next term in 94, 85, 76, 67? 58 What comes next: -62, -60, -38, 10, 90, 208, 370, 582? 850 What comes next: 2, 22, 56, 104, 166, 242, 332? 436 What is the next term in 17, 12, -5, -40, -99? -188 What comes next: 12, -2, -2, 18, 64, 142? 258 What is next in 57, 121, 197, 291, 409, 557? 741 What comes next: -361, -698, -1031, -1360, -1685, -2006? -2323 What is next in 30, 54, 80, 108, 138, 170, 204? 240 What comes next: 130, 388, 818, 1420? 2194 What is next in -166, -324, -478, -628? -774 What comes next: 359, 360, 361, 362, 363? 364 What comes next: 2, -14, -52, -124, -242? -418 What comes next: -2385, -2387, -2389, -2391? -2393 What comes next: -207, -213, -231, -267, -327, -417? -543 What comes next: 354, 697, 1048, 1413, 1798, 2209, 2652, 3133? 3658 What comes next: -2067, -4132, -6197? -8262 What is next in 22, 27, 44, 79, 138? 227 What is next in -367, -756, -1143, -1528? -1911 What is the next term in -33, -39, -49, -63, -81? -103 What is the next term in -28, -19, 0, 35, 92, 177, 296, 455? 660 What is next in -23, -39, -55, -71? -87 What is next in -63, -140, -207, -258, -287, -288, -255? -182 What comes next: -304, -616, -938, -1276, -1636, -2024? -2446 What is the next term in 44, 90, 136, 182? 228 What is next in 0, -2, -8, -18? -32 What comes next: -173, -133, -73, 1, 83, 167, 247, 317? 371 What comes next: -47, -224, -527, -962, -1535, -2252, -3119, -4142? -5327 What comes next: -441, -871, -1301, -1731, -2161? -2591 What is next in 45, 200, 459, 822? 1289 What is next in 584, 576, 556, 518, 456, 364? 236 What comes next: -2, -15, -38, -71, -114, -167? -230 What comes next: 19, 42, 65, 88, 111, 134? 157 What is next in 78, 83, 92, 105? 122 What comes next: 209, 230, 287, 398, 581, 854? 1235 What is the next term in 1850, 1852, 1854? 1856 What comes next: -10, -49, -120, -223, -358, -525, -724? -955 What is next in 79, 171, 265, 361, 459, 559? 661 What is next in 204, 427, 650? 873 What is next in 32, 63, 94? 125 What is next in 1251, 1262, 1295, 1362, 1475, 1646? 1887 What is the next term in -2773, -2772, -2771? -2770 What comes next: -47, -82, -107, -116, -103? -62 What is the next term in -424, -426, -430, -436? -444 What is the next term in 3, 8, 13, 18? 23 What is next in -34969, -34968, -34967? -34966 What is next in -489, -980, -1471, -1962, -2453? -2944 What is the next term in -11090, -11091, -11092, -11093, -110
{ "pile_set_name": "DM Mathematics" }
b be g(t). What is the highest common factor of b and w? 14 Suppose -176 + 711 = 5*r - 5*d, -r - 3*d + 119 = 0. Let v(m) = -7*m**2 - 1 + 5 + 2*m + 8*m**2 + 3. Let x be v(-3). What is the highest common factor of r and x? 10 Suppose 2*g - 110 = -3*g. Suppose -2*p = -2*r + p + 30, -2*r = p - g. What is the highest common factor of 24 and r? 12 Let q be (6/4)/((-6)/(-380)). Calculate the greatest common factor of 38 and q. 19 Let d(s) = 7*s**3 - s + 1. Let i be d(1). Let k = 4 - 4. Suppose -2*n + 67 = -5*z, -z - 1 - 4 = k. What is the greatest common divisor of n and i? 7 Suppose 11*k - 1133 + 143 = 0. Calculate the highest common factor of 36 and k. 18 Let u = 48 - -40. Calculate the greatest common divisor of 11 and u. 11 Suppose 19*g = 16*g + 195. Calculate the highest common factor of 52 and g. 13 Let j(s) = -s**3 + 8*s**2 - 5*s. Let o be j(5). Let k = 42 + -22. Calculate the greatest common factor of o and k. 10 Suppose 5*k = 17 + 73. Calculate the greatest common factor of k and 2. 2 Let y be (-4)/10 - (-74)/10. Let g be (-1 - (-162 + 2)) + 1. Suppose -4*s - 3*t = 2*t - 323, -2*s + g = 2*t. Calculate the greatest common divisor of s and y. 7 Let c = 0 + 1. Suppose -c + 16 = 5*u. What is the highest common divisor of u and 21? 3 Let i(a) = 14*a**2 + a + 3. Let m be i(-3). Calculate the highest common divisor of 21 and m. 21 Let d be (-20 + 1 + 0)*-2. Let x(i) = 3*i**3 - 8*i**2 - 8*i + 25. Let m be x(4). Calculate the highest common factor of d and m. 19 Let n = 29 - 18. Calculate the highest common divisor of 77 and n. 11 Suppose 3*f = 2*f + 7. Let a be (-390)/(-7) - (-2)/f. Calculate the highest common divisor of a and 8. 8 Let g(v) = 9*v + 21. Let s be g(3). What is the greatest common divisor of 48 and s? 48 Let y(a) = a**3 + 9*a**2 + 9*a + 6. Let l = 17 + -25. Let w be y(l). Let q be w/5 + 792/30. What is the greatest common factor of q and 39? 13 Let l = -192 - -48. Let x be l/30*(-20)/6. Calculate the greatest common factor of x and 48. 16 Suppose 2*n = -5*h + 39, 5*h - 20 - 7 = 4*n. Let p(y) = 3*y - 8. Let c be p(h). What is the highest common factor of c and 117? 13 Let l be -4*(13/(-3))/((-4)/(-3)). What is the highest common factor of l and 26? 13 Let i(o) = 3*o + 22. Let q be i(6). What is the greatest common divisor of q and 160? 40 Let m(k) be the third derivative of -47*k**6/120 - k**4/12 - k**3/6 - 2*k**2. Let f be m(-1). What is the greatest common factor of f and 12? 12 Let m be (-9)/(-6)*(-704)/(-12). What is the greatest common factor of 8 and m? 8 Let g(l) = -1 + 3*l**3 - 4*l**3 - 2*l**2 - 6*l + 3 + 4*l. Let c be g(-2). Calculate the highest common divisor of c and 30. 6 Suppose 5*r - 112 = -62. Let x(g) = g**3 - 5*g**2 + 2*g. Let w be x(5). Calculate the greatest common divisor of w and r. 10 Suppose x = 1 + 20. Suppose 4*f = -5*j + 80, 2*f - 54 = -j + 2*j. Suppose -2*d = -4*z - 6*d + 568, -f = 5*d. Calculate the highest common factor of z and x. 21 Let q(v) = -2*v - 11*v - 3*v - v. Let y be q(-1). Calculate the greatest common divisor of 34 and y. 17 Let f be (0 - 1) + 0 + 0 + 7. What is the highest common factor of 9 and f? 3 Let a be (-30 + -1)/(1 + -2). Let m = a - 15. Let f = m - 4. What is the greatest common factor of f and 6? 6 Let p(j) = j**2 + 6*j - 4. Let y be p(-7). Suppose -4*u + y*u = -1. Calculate the greatest common divisor of 1 and u. 1 Suppose 2*c - 39 - 17 = 0. Calculate the highest common factor of c and 308. 28 Suppose -2*z + 5*k = -3, z - k = 3*k. Let n be (-1)/(1*(-2)/z). Suppose 11 = -n*h + 41. What is the highest common divisor of h and 3? 3 Suppose -22 - 20 = -3*t. Calculate the highest common divisor of t and 14. 14 Let r(s) be the second derivative of 13*s**3/6 + 2*s**2 - 5*s. Let a be r(2). Calculate the highest common factor of a and 15. 15 Let u = -3 + 29. What is the greatest common divisor of 104 and u? 26 Suppose -3*b - 48 = -7*b. Let o be (0 + 4)*10/(-8). Let w = o + 23. What is the highest common factor of w and b? 6 Suppose 0*g + 5*g - 20 = 0. Suppose -2*c + p = -4*p - 14, -g*c + 4*p = -16. Calculate the highest common divisor of c and 14. 2 Suppose -2*b + 2*v + 84 = 4*v, -5*v + 10 = 0. Calculate the greatest common divisor of 10 and b. 10 Let r = 9 - 18. Let n = r + 13. Calculate the greatest common divisor of 2 and n. 2 Suppose 8*g - 3*g - w = 180, -2*w = 5*g - 165. What is the greatest common factor of 14 and g? 7 Let u be (-1)/(-3) - 816/18. Let z = u + 85. What is the highest common factor of z and 16? 8 Let f(b) = b**2 - 4*b - 1. Let j be f(8). Suppose -j + 9 = 2*c. Let q = 1 - c. What is the highest common divisor of q and 8? 4 Let m(c) = c + 42. Let w be m(-12). Calculate the highest common factor of w and 270. 30 Suppose a - 67 - 90 = 5*r, -3*a = -2*r - 445. Calculate the greatest common divisor of 21 and a. 21 Let t(q) be the second derivative of 5*q**3/6 - q**2 + 2*q. Let v be t(2). Suppose 0 = -5*g + v + 102. What is the highest common divisor of 55 and g? 11 Let k be 25 + 3/2*22/33. What is the highest common factor of k and 65? 13 Let t(c) = -8 + 1 + c + 7*c - 6*c**2 + c**3. Let n be t(5). Let s = -3 + n. What is the greatest common divisor of 1 and s? 1 Let q(s) = -s + 32. Let g be q(0). Suppose 3*a + 2 - g = 0. Let r = -29 + 34. What is the highest common divisor of r and a? 5 Let f(p) = -p**2 - 7*p - 4. Let o be f(-6). Let t(x) = -5*x - 12. Let q be t(-4). What is the highest common divisor of o and q? 2 Let q = 87 - 51. Suppose -5*c - 1 = -q. Suppose 2*b + 3 = c. What is the greatest common factor of b and 10? 2 Let n = -156 - -231. Calculate the greatest common factor of n and 15. 15 Suppose -328 = 13*f - 16*f + v, f + 2*v = 121. What is the greatest common divisor of 148 and f? 37 Suppose -2*r - 26 = -c + 3*r, -5*r - 37 = -2*c. Let a(t) = -4*t + 1. Let o be a(-8). What is the highest common factor of o and c? 11 Suppose -m + 1 = -3. Let k(p) = -p**3 + 4*p**2 + 2*p + 2. Let y be k(m). Suppose y + 8 = 3*h. What is the greatest common divisor of 42 and h? 6 Suppose -304 = -15*j + 176. What is the greatest common factor of j and 2? 2 Let o be (5 + -1)/(-2 + 3). Let d be o + (1 - 2/(-2)). Calculate the greatest common divisor of 9 and d. 3 Let h(j) = 2*j + 87. Let s be h(0). Calculate the highest common divisor of 29 and s. 29 Let u(v) = -v**3 + 7*v**2 - 6*v + 9. Let m be u(6). Suppose 2*f - 8 = 4*f, -f = 3*i - 5. What is the greatest common factor of m and i? 3 Let h = 78 - 1. Suppose -c - c + 14 = 0. Calculate the highest common divisor of h and c. 7 Let i(w) = -10*w + 9*w**2 + 2*w**2 - 1 + w**2 - w**3. Let s be i(11). Calculate the highest common divisor of 50 and s. 10 Suppose 0 = -10*g + 3*g + 805. What is the highest common divisor of g and 5? 5 Let j = 29 - 13. Let t be 8/(-3*(-3 - -4)/(-3)). What is the greatest common factor of t and j? 8 Let x = -10 - -15. Suppose 5*n - t = -0*t + 14, 3*t = x*n - 12. Let m be -9*1*n*-1. What is the greatest common factor of m and 9? 9 Suppose 0 = 13*m - 89 - 145. Calculate the greatest common divisor of m and 144. 18 Let h = 30 - -9. Calculate the greatest common factor of 52 and h. 13 Let q(u) = 7 + u - 1 - 2*u. Let t be q(6). Suppose t*b = 3*b - 2*o - 454, -4*b + 3*o = -604. Calculate the greatest common factor of 14 and b. 14 Suppose -218 = -5*o + 4*q, o + 0*q = 3*q + 37. Calculate the greatest common divisor of 115 and o. 23 Suppose a - 11 = h - 0*h, 3*a - h - 25 = 0. What is the highest common factor of 1 and a? 1 Let l be (-35 - -41)*(-1)/(-6). What is the greatest common divisor of l and 4? 1 Suppose -v = -4*z - 18, -v + 5*z + 30 = 4*v. Suppose 0 = v*l - 16 - 14. Calculate the highest common divisor of l and 15. 15 Let z be 6/(((-27)/10)/(-9)). What is the greatest common factor of z and 30? 10 Let v(r) = 4*r**2 - r - 1. Let w = 5 + -2. Let m be v(w). What is the greatest common divisor of 8 and m? 8 Let h = -1 + 4. Suppose -2*g = -3*g - 5*r + 24, -h = -3*r. What is the greatest common divisor of g and 19? 19 Suppose 2*j - r - 112 = 291, -394 = -2*j - 2*r. Calculate the highest common factor of j and 8. 8 Let g be (-10)/8*-32*3. What is the highest common divisor of 48 and g? 24 Let q(w) = 2*w + 4. Let m be q(7). What is the highest common factor of 6 and m? 6 Let x = -34 + 48. Let j = 495 - 488. What is the great
{ "pile_set_name": "DM Mathematics" }
a factor of 193480? True Is 423175 a multiple of 9? False Is 28 a factor of 34776? True Does 40 divide 117680? True Is 106 a factor of 110982? True Is 45 a factor of 3087502? False Is 12 a factor of 898296? True Is 116 a factor of 34465? False Is 109012 a multiple of 6? False Does 3 divide 11132? False Is 5 a factor of 74547? False Is 44 a factor of 665136? False Is 38 a factor of 4526104? True Is 5 a factor of 69825? True Is 1016190 a multiple of 105? True Is 81605 a multiple of 54? False Is 16 a factor of 1822155? False Is 1447754 a multiple of 374? True Is 11 a factor of 11319? True Is 463 a factor of 155172? False Is 95 a factor of 124450? True Does 29 divide 487635? True Is 259084 a multiple of 133? True Does 49 divide 262444? True Is 6 a factor of 800105? False Is 118 a factor of 107262? True Is 49 a factor of 259651? True Does 163 divide 36887? False Is 1309678 a multiple of 12? False Does 8 divide 255093? False Is 222033 a multiple of 175? False Is 9 a factor of 34856? False Is 747510 a multiple of 154? False Does 115 divide 14457685? True Does 4 divide 11284? True Does 644 divide 1539177? False Is 52762 a multiple of 41? False Is 1387986 a multiple of 37? False Does 174 divide 374622? True Is 123931 a multiple of 38? False Is 3844428 a multiple of 42? True Is 277152 a multiple of 5? False Is 104 a factor of 29432? True Is 346522 a multiple of 22? True Does 18 divide 246024? True Does 44 divide 1863400? True Is 46 a factor of 39374? False Is 10 a factor of 2382875? False Does 162 divide 262876? False Is 113590 a multiple of 259? False Is 28555 a multiple of 59? False Is 2595090 a multiple of 230? True Is 75 a factor of 1464760? False Is 182 a factor of 10738? True Is 35 a factor of 61075? True Does 77 divide 5586746? False Is 1880759 a multiple of 513? False Does 34 divide 4127940? True Is 2827685 a multiple of 35? True Does 27 divide 361544? False Is 3 a factor of 1879030? False Does 52 divide 435738? False Is 122 a factor of 253733? False Is 46 a factor of 14280527? False Does 255 divide 15730? False Is 180961 a multiple of 2? False Is 3768300 a multiple of 18? True Is 42 a factor of 4434966? False Does 66 divide 2090911? False Is 1940 a factor of 28449940? False Does 17 divide 127245? True Is 61 a factor of 328424? True Does 17 divide 1237879? False Is 442312 a multiple of 445? False Is 16 a factor of 378928? True Is 524 a factor of 127856? True Is 8798608 a multiple of 790? False Is 2024 a factor of 15159760? True Is 4 a factor of 36152? True Is 158034 a multiple of 6? True Is 5932 a multiple of 2? True Is 36162 a multiple of 287? True Does 1495 divide 6881485? True Is 259 a factor of 11093747? True Is 16218324 a multiple of 38? True Is 410916 a multiple of 132? True Is 4924205 a multiple of 65? True Is 21 a factor of 2458785? True Is 61 a factor of 14157734? True Does 24 divide 49872? True Is 23555 a multiple of 118? False Is 34 a factor of 601086? True Is 252132 a multiple of 21? False Is 2452997 a multiple of 117? False Is 311220 a multiple of 455? True Does 24 divide 9270352? False Does 12 divide 1271190? False Is 93484 a multiple of 18? False Is 18 a factor of 512429? False Is 566476 a multiple of 5? False Is 4182350 a multiple of 25? True Is 18 a factor of 406602? True Is 1002266 a multiple of 82? False Is 2078633 a multiple of 229? True Is 118 a factor of 463032? True Is 217 a factor of 930496? True Does 25 divide 217293? False Is 35 a factor of 1537468? False Does 55 divide 501725? False Does 16 divide 1806400? True Is 384985 a multiple of 185? True Does 2 divide 67969? False Is 716 a factor of 3968788? True Does 17 divide 302090? True Is 158 a factor of 537832? True Does 9 divide 83160? True Is 14024 a multiple of 24? False Is 2180078 a multiple of 11? False Does 620 divide 367118? False Is 2500200 a multiple of 10? True Is 257 a factor of 583904? True Does 19 divide 232004? False Does 43 divide 397708? False Is 14 a factor of 1833216? True Does 5 divide 944300? True Does 1247 divide 5513176? False Is 699072 a multiple of 32? True Does 8 divide 37847? False Is 1088076 a multiple of 11? True Is 11 a factor of 45914? True Is 2353858 a multiple of 105? False Is 30 a factor of 293324? False Is 45 a factor of 192643? False Is 8228 a multiple of 11? True Does 93 divide 3561993? True Is 4958492 a multiple of 77? True Does 224 divide 304714? False Does 30 divide 234660? True Is 5660 a multiple of 8? False Is 715005 a multiple of 45? True Is 11207 a multiple of 3? False Is 1263 a factor of 10235352? True Does 132 divide 1228399? False Is 396 a factor of 20988? True Does 79 divide 727274? True Is 234 a factor of 3744166? False Does 7 divide 2924? False Is 823764 a multiple of 104? False Is 16 a factor of 1004496? True Is 497380 a multiple of 145? False Is 33458 a multiple of 207? False Is 38 a factor of 70262? True Does 186 divide 212040? True Does 12 divide 574260? True Is 49 a factor of 555977? False Does 47 divide 16121? True Does 41 divide 781222? False Is 446796 a multiple of 4? True Does 248 divide 6906878? False Is 13796343 a multiple of 219? True Is 2092847 a multiple of 739? False Does 447 divide 186399? True Does 21 divide 12641706? True Does 6 divide 1525884? True Does 19 divide 1639020? False Is 845341 a multiple of 17? False Does 113 divide 119486? False Does 10 divide 166880? True Is 1159 a factor of 6679317? True Is 111 a factor of 65268? True Is 120 a factor of 2539200? True Is 2290320 a multiple of 48? True Does 78 divide 1828? False Is 1395 a factor of 3043912? False Is 1047 a factor of 2718012? True Does 494 divide 523409? False Is 212 a factor of 4497301? False Is 359078 a multiple of 41? True Is 391832 a multiple of 28? True Does 14 divide 53354? True Is 1591 a factor of 6458610? False Is 10 a factor of 2302232? False Is 1143818 a multiple of 357? False Is 14 a factor of 1627290? True Does 33 divide 224282? False Does 127 divide 105283? True Is 15 a factor of 3871275? True Is 700301 a multiple of 23? False Does 3 divide 533086? False Does 24 divide 20451499? False Is 12 a factor of 53244? True Is 9635637 a multiple of 31? True Does 197 divide 88465? False Is 5489730 a multiple of 337? True Does 15 divide 875250? True Is 41 a factor of 2757742? True Is 144 a factor of 3599604? False Does 147 divide 729244? False Is 443577 a multiple of 29? False Is 10736 even? True Is 5 a factor of 1798028? False Is 8 a factor of 71305? False Is 6 a factor of 53437? False Is 9 a factor of 461430? True Is 46 a factor of 13058572? True Is 463788 a multiple of 13? True Is 7 a factor of 160240? False Is 9 a factor of 4959864? True Is 22 a factor of 7434944? True Does 2 divide 607? False Is 138 a factor of 2700522? True Does 152 divide 885248? True Is 784 a factor of 1152034? False Does 3 divide 1894498? False Is 60 a factor of 481860? True Does 316 divide 50244? True Is 481413 a multiple of 7? False Is 956242 a multiple of 214? False Does 13 divide 79087? False Does 758 divide 1484164? True Does 17 divide 714602? False Is 27626182 a multiple of 97? True Is 762 a factor of 838545? False Is 1949817 a multiple of 41? False Is 163 a factor of 27224? False Is 351 a factor of 1002885? False Is 93 a factor of 627843? True Does 25 divide 1977146? False Is 337672 a multiple of 4? True Is 3422 a multiple of 29? True Is 860090 a multiple of 55? True Does 37 divide 288583? False Is 99108 a multiple of 118? False Does 24 divide 124989? False Is 55047 a multiple of 18? False Does 35 divide 186293? False Does 14 divide 928424? True Does 10 divide 416938? False Does 278 divide 119540? True Is 93034 a multiple of 75? False Is 3 a factor of 196220? False Is 624192 a multiple of 48? True Is 59 a factor of 86730? True Is 460 a factor of 288372? False Is 177587 a multiple of 159? False Does 270 divide 66586? False Is 12 a factor of 3401836? False Is 190 a factor of 11933880? False Is 156 a factor of 97823? False Is 4627435 a multiple of 34? False Does 545 divide 26160? True Is 272913 a multiple of 6? False Is 284431 a multiple of 26? False Does 322 divide 1953252? True Is 27136180 a multiple of 25? False Is 17 a factor of 43078? True Is 277376 a multiple of 32? True Is 381 a factor of 4208360? False Does 36 divide 179604? True Is 55 a factor of 346
{ "pile_set_name": "DM Mathematics" }
ked without replacement from dpxxptixittwtx. What is prob of sequence tdi? 1/273 Three letters picked without replacement from {e: 1, b: 6, r: 4}. Give prob of sequence rrr. 4/165 What is prob of sequence rylw when four letters picked without replacement from {w: 2, r: 2, y: 4, l: 8}? 4/1365 Four letters picked without replacement from gzggzzgggggg. What is prob of sequence gzzg? 2/55 Four letters picked without replacement from {g: 3, a: 11}. What is prob of sequence aaag? 45/364 Three letters picked without replacement from eaqpecxeaeqaxeqex. Give prob of sequence pxc. 1/1360 Calculate prob of sequence jkj when three letters picked without replacement from {j: 7, k: 1}. 1/8 Two letters picked without replacement from gssggsspsspspsgs. Give prob of sequence gg. 1/20 Calculate prob of sequence kmi when three letters picked without replacement from {m: 1, k: 5, v: 4, y: 6, i: 4}. 1/342 Two letters picked without replacement from nnnnnnnnn. Give prob of sequence nn. 1 Calculate prob of sequence dj when two letters picked without replacement from {h: 1, d: 1, j: 1, k: 2, e: 1, r: 2}. 1/56 Calculate prob of sequence zhf when three letters picked without replacement from fyffzfuhuy. 1/180 Four letters picked without replacement from {o: 1, z: 5, n: 9, p: 3}. Give prob of sequence nnnn. 7/170 Calculate prob of sequence tpt when three letters picked without replacement from pppppppptpppppptppp. 1/171 Calculate prob of sequence rll when three letters picked without replacement from rtlrllllhribhrrl. 5/112 What is prob of sequence mzi when three letters picked without replacement from mpiypiiiyyyhzhyiy? 1/816 What is prob of sequence dt when two letters picked without replacement from {d: 14, t: 4}? 28/153 Two letters picked without replacement from lllkkllk. What is prob of sequence ll? 5/14 Two letters picked without replacement from skkf. What is prob of sequence fs? 1/12 Calculate prob of sequence gg when two letters picked without replacement from {g: 9}. 1 Three letters picked without replacement from {f: 2, h: 2, q: 9, o: 5}. Give prob of sequence qof. 5/272 What is prob of sequence xxxl when four letters picked without replacement from jzjxxjxjljjgzjjxxxz? 5/3876 Four letters picked without replacement from zznzzzzz. What is prob of sequence zzzz? 1/2 Two letters picked without replacement from {j: 4, y: 1, b: 2, s: 3, r: 2, i: 6}. Give prob of sequence ii. 5/51 Two letters picked without replacement from {x: 7, w: 7}. Give prob of sequence xw. 7/26 Calculate prob of sequence sst when three letters picked without replacement from {s: 3, t: 3, r: 1}. 3/35 Calculate prob of sequence esee when four letters picked without replacement from {s: 15, e: 3}. 1/816 Calculate prob of sequence qd when two letters picked without replacement from {q: 3, d: 13}. 13/80 Calculate prob of sequence ufu when three letters picked without replacement from uuffffffuffffffufuu. 65/969 Four letters picked without replacement from bgxgogbox. Give prob of sequence xxog. 1/252 Two letters picked without replacement from {a: 9, n: 2, d: 7}. What is prob of sequence ad? 7/34 Two letters picked without replacement from kusskskbskk. What is prob of sequence ks? 2/11 What is prob of sequence ui when two letters picked without replacement from puiipiuuuuuuuuuuu? 9/68 What is prob of sequence vs when two letters picked without replacement from ssvsssvsvsvsvsssvs? 4/17 Four letters picked without replacement from {r: 15, w: 4}. Give prob of sequence rwrr. 455/3876 Four letters picked without replacement from {x: 1, u: 1, p: 1, a: 2, y: 1, d: 1}. What is prob of sequence yuxa? 1/420 Two letters picked without replacement from {v: 4, d: 4, p: 8}. Give prob of sequence pd. 2/15 Four letters picked without replacement from jcjjbcbjccnjnjjjc. What is prob of sequence nnbj? 1/1785 Calculate prob of sequence nlln when four letters picked without replacement from {l: 3, n: 2}. 1/10 What is prob of sequence ehf when three letters picked without replacement from {f: 1, g: 1, w: 1, d: 1, e: 2, h: 2}? 1/84 Two letters picked without replacement from tbffftnffffffgbfff. What is prob of sequence tg? 1/153 Three letters picked without replacement from {h: 2, g: 6}. Give prob of sequence ggh. 5/28 Calculate prob of sequence ms when two letters picked without replacement from kzzksskksmsss. 1/26 Two letters picked without replacement from {t: 2, b: 1, x: 1, n: 1}. What is prob of sequence tx? 1/10 Three letters picked without replacement from {v: 3, q: 17}. Give prob of sequence qqq. 34/57 Two letters picked without replacement from iiiiiiggiiiigggiii. What is prob of sequence gg? 10/153 Calculate prob of sequence hzj when three letters picked without replacement from {j: 5, x: 2, z: 2, h: 3}. 1/44 What is prob of sequence atat when four letters picked without replacement from aaaaaaaataataaaaaaa? 1/171 Three letters picked without replacement from {x: 3, z: 1, y: 1, c: 2, k: 6}. Give prob of sequence xck. 3/143 What is prob of sequence qnm when three letters picked without replacement from {q: 2, x: 1, k: 1, p: 1, m: 1, n: 2}? 1/84 Calculate prob of sequence fff when three letters picked without replacement from {i: 4, f: 10}. 30/91 What is prob of sequence ql when two letters picked without replacement from llllillqqqiiil? 3/26 Three letters picked without replacement from laaaazllllhalaaaza. Give prob of sequence lhl. 5/816 Two letters picked without replacement from kssrssshsrhklhv. What is prob of sequence lk? 1/105 Calculate prob of sequence gi when two letters picked without replacement from {i: 3, g: 2, q: 2, x: 1, b: 2, y: 2}. 1/22 Three letters picked without replacement from {p: 2, n: 1, h: 4, d: 1, o: 5, q: 2}. What is prob of sequence oqn? 1/273 Calculate prob of sequence cl when two letters picked without replacement from clllpccll. 5/24 Four letters picked without replacement from xxnvnmx. What is prob of sequence xxmn? 1/70 Calculate prob of sequence vqq when three letters picked without replacement from nvlvyyqqxvxx. 1/220 What is prob of sequence yqsb when four letters picked without replacement from brrbsysrrsrrybbrrqs? 1/2907 Two letters picked without replacement from zmzme. What is prob of sequence me? 1/10 Calculate prob of sequence cc when two letters picked without replacement from cbbrrbcccbb. 6/55 Calculate prob of sequence zez when three letters picked without replacement from yezyyeyeyyyyzyzyyyy. 1/323 Two letters picked without replacement from {y: 6}. Give prob of sequence yy. 1 What is prob of sequence wz when two letters picked without replacement from wwwwzzwww? 7/36 What is prob of sequence ww when two letters picked without replacement from wpcpxcpppppw? 1/66 Four letters picked without replacement from fzdxxxfzsxxzxfsfdxfx. Give prob of sequence zfss. 1/3876 What is prob of sequence sxx when three letters picked without replacement from stxsx? 1/15 Calculate prob of sequence ww when two letters picked without replacement from {n: 2, w: 8, s: 1, x: 7, l: 2}. 14/95 Four letters picked without replacement from nkmnlmnsmmk. Give prob of sequence slmm. 1/660 Two letters picked without replacement from {v: 9, o: 11}. Give prob of sequence vo. 99/380 Four letters picked without replacement from vfxxxxxvfxxxxvxxxxxx. What is prob of sequence vvxv? 1/1292 Calculate prob of sequence ue when two letters picked without replacement from {r: 1, u: 1, e: 1}. 1/6 What is prob of sequence qqrq when four letters picked without replacement from rqqqqqqqqrq? 7/55 Two letters picked without replacement from {v: 4, n: 1, z: 8}. What is prob of sequence vv? 1/13 Calculate prob of sequence rrrd when four letters picked without replacement from {d: 1, r: 3}. 1/4 Calculate prob of sequence rt when two letters picked without replacement from {r: 1, t: 3, a: 5, k: 1, b: 5}. 1/70 Three letters picked without replacement from {w: 1, e: 6, b: 2, c: 4, m: 3}. What is prob of sequence bme? 3/280 What is prob of sequence dcc when three letters picked without replacement from tdotcc? 1/60 Two letters picked without replacement from {o: 4, b: 2, j: 1}. Give prob of sequence oj. 2/21 Calculate prob of sequence lqvw when four letters picked without replacement from ljllwjlqqjjvwwlw. 1/1092 Fo
{ "pile_set_name": "DM Mathematics" }
4527, -19396, -24287, -29206, -34159? -39152 What is next in -12451, -12469, -12487, -12505? -12523 What comes next: -4721, -4353, -3973, -3575, -3153, -2701, -2213, -1683? -1105 What is the next term in 3896, 3947, 4084, 4349, 4784, 5431, 6332, 7529? 9064 What is next in 162, 1732, 3302, 4872? 6442 What comes next: 472, 1918, 4338, 7732, 12100, 17442? 23758 What comes next: 10063, 10088, 10127, 10186, 10271, 10388, 10543, 10742? 10991 What comes next: 475, 1704, 2933? 4162 What is next in 4378, 8798, 13218? 17638 What comes next: 120, 256, 410, 594, 820, 1100? 1446 What is next in 14821, 14805, 14789, 14773, 14757? 14741 What comes next: -6038, -23815, -53444, -94925, -148258? -213443 What comes next: 1691, 1995, 2273, 2513, 2703, 2831? 2885 What comes next: -5168, -10337, -15506, -20675, -25844, -31013? -36182 What comes next: 1332554, 1332548, 1332544, 1332542, 1332542? 1332544 What comes next: 39420, 39429, 39446, 39471, 39504, 39545? 39594 What comes next: -536761, -536763, -536765, -536767, -536769, -536771? -536773 What is next in -43, -141, -335, -649, -1107, -1733, -2551? -3585 What is the next term in 913, 962, 1015, 1072? 1133 What is next in -87846, -87843, -87840, -87837? -87834 What comes next: 535, 4344, 14681, 34810, 67995, 117500, 186589? 278526 What is next in 3115, 3105, 3087, 3061, 3027, 2985, 2935? 2877 What is next in 10046, 20097, 30150, 40205, 50262, 60321, 70382? 80445 What is next in -274249, -1096995, -2468237, -4387975, -6856209, -9872939, -13438165? -17551887 What is next in 66020, 132039, 198056, 264071, 330084, 396095? 462104 What comes next: -101, -344, -745, -1304, -2021, -2896? -3929 What is the next term in 853, 763, 527, 73, -671? -1777 What comes next: -326, -327, -328, -329? -330 What is the next term in 1442, 2114, 2772, 3410, 4022, 4602, 5144? 5642 What is the next term in 1702, 3910, 7112, 11806, 18490, 27662, 39820? 55462 What is the next term in 1764, 2615, 3466, 4317, 5168, 6019? 6870 What comes next: -21583, -21594, -21619, -21664, -21735, -21838? -21979 What is next in 4294, 8584, 12864, 17128, 21370? 25584 What is next in 149, 128, 107? 86 What comes next: -811872, -1623743, -2435614, -3247485, -4059356? -4871227 What is the next term in -60468, -120941, -181414, -241887, -302360, -362833? -423306 What comes next: -141, -102, 13, 246, 639? 1234 What is next in -300823, -300825, -300827, -300829? -300831 What is next in 24, -16, -172, -516, -1120, -2056, -3396, -5212? -7576 What is the next term in -313, -737, -1159, -1579, -1997, -2413, -2827? -3239 What is the next term in -1135, -2259, -3383, -4507, -5631? -6755 What is next in 6547, 6525, 6503, 6481, 6459? 6437 What is next in 8785, 8702, 8619? 8536 What is next in -1166, -1172, -1178? -1184 What is next in -71370, -71367, -71364, -71361? -71358 What comes next: 15973, 63837, 143609, 255289, 398877? 574373 What comes next: -10310, -20674, -31054, -41456, -51886, -62350, -72854? -83404 What is next in -38, -84, -120, -146, -162, -168, -164? -150 What is next in -2433, -4911, -7389, -9867, -12345, -14823? -17301 What is the next term in 80, 577, 1926, 4553, 8884, 15345, 24362, 36361? 51768 What is the next term in 1518, 3359, 5200, 7041, 8882, 10723? 12564 What is next in -1739, -1739, -1737, -1733, -1727? -1719 What is next in 5891, 11725, 17559? 23393 What is the next term in -9308, -18636, -27958, -37268, -46560? -55828 What is next in -98043, -98047, -98051, -98055, -98059? -98063 What is the next term in 4211884, 4211886, 4211888, 4211890? 4211892 What is next in -34853, -34831, -34803, -34769, -34729, -34683? -34631 What is the next term in 671, 391, 111, -169? -449 What is next in -7650, -7631, -7598, -7551? -7490 What is next in 19575, 19519, 19453, 19371, 19267, 19135, 18969? 18763 What comes next: -86754, -173514, -260276, -347040? -433806 What is next in -11555, -11563, -11575, -11591, -11611? -11635 What is the next term in 129527, 129523, 129519, 129515, 129511, 129507? 129503 What is the next term in 414, 1634, 3636, 6420, 9986, 14334, 19464? 25376 What is next in -9661, -19297, -28873, -38359, -47725, -56941? -65977 What comes next: -7534, -15046, -22570, -30112, -37678, -45274, -52906? -60580 What is next in 271, 270, 269? 268 What comes next: -415910, -831822, -1247734? -1663646 What is next in -203370, -203359, -203336, -203295, -203230, -203135? -203004 What is next in -2995048, -2995046, -2995044, -2995042, -2995040, -2995038? -2995036 What comes next: -1311, -4995, -11135, -19731, -30783, -44291, -60255? -78675 What is the next term in -1497131, -1497133, -1497135, -1497137, -1497139? -1497141 What is the next term in 36, 355, 890, 1641, 2608? 3791 What is the next term in 517, 333, 147, -41, -231? -423 What is next in 249, 491, 733? 975 What comes next: 1287, 1403, 1729, 2373, 3443? 5047 What is next in 1456, 2883, 4310, 5737? 7164 What is next in 24892, 49716, 74540? 99364 What is next in 1543331, 1543329, 1543327, 1543325, 1543323? 1543321 What comes next: 129, 526, 1185, 2106, 3289, 4734, 6441? 8410 What comes next: 19914, 19883, 19864, 19863, 19886, 19939, 20028, 20159? 20338 What comes next: -135, -239, -303, -327, -311, -255? -159 What is the next term in -17, -71, -169, -311, -497, -727, -1001? -1319 What comes next: -24349, -24353, -24357, -24361, -24365? -24369 What comes next: 176175, 176172, 176169, 176166, 176163, 176160? 176157 What is next in 40602, 40621, 40654, 40701, 40762? 40837 What is next in 56183, 112269, 168355, 224441, 280527, 336613? 392699 What is next in 561, 4384, 14749, 34926, 68185, 117796, 187029, 279154? 397441 What comes next: -23, 2377, 6377, 11977? 19177 What is the next term in 438981, 438990, 439011, 439050, 439113, 439206? 439335 What is the next term in 33158, 33199, 33268, 33365, 33490, 33643? 33824 What comes next: -61331, -61335, -61343, -61355, -61371, -61391? -61415 What is next in -30, -335, -1194, -2889, -5702, -9915, -15810, -23669? -33774 What comes next: -385728, -771452, -1157176? -1542900 What comes next: 224, -499, -1222, -1945, -2668, -3391? -4114 What comes next: 188, 508, 852, 1232, 1660, 2148, 2708, 3352? 4092 What comes next: -3492, -6683, -9862, -13023, -16160, -19267? -22338 What is the next term in 163812, 163811, 163810, 163809, 163808, 163807? 163806 What is next in 1279, 4988, 11171, 19828, 30959? 44564 What is next in 5216, 5236, 5256, 5276, 5296, 5316? 5336 What comes next: -1496, -1170, -824, -452, -48, 394, 880, 1416? 2008 What is the next term in 308, 504, 700? 896 What is the next term in -57, -143, -229, -315? -401 What is next in 20615, 20613, 20611, 20609, 20607, 20605? 20603 What comes next: -16, -1016, -3744, -9064, -17840, -30936? -49216 What is next in -118, -397, -830, -1417, -2158, -3053? -4102 What is the next term in 20055, 20041, 20009, 19953, 19867, 19745? 19581 What is next in 3460, 6795, 10130, 13465, 16800, 20135? 23470 What comes next: -122, -493, -1088, -1895, -2902, -4097? -5468 What comes next: -5518, -22312, -50308, -89512, -139930? -201568 What comes next: -38, -89, -170, -287, -446, -653, -914? -1235 What is next in -216777, -216772, -216767, -216762, -216757? -216752 What is the next term in 269, 2465, 6589, 12635, 20597, 30469, 42245? 55919 What is the next term in -6176, -25140, -56752, -101018, -157944, -227536? -309800 What is the next term in -11790, -47110, -105974, -188382? -294334 What is next in 1014, 3968, 8860, 15690, 24458? 35164 What comes next: -108, -255, -498, -837? -1272 What is next in -284586, -284587, -284588, -284589? -284590 What comes next: 2277, 4105, 5933, 7761, 9589? 11417 What is the next term in 7321, 29369, 66141, 117637? 183857 What is next in -303, -430, -537, -618, -667, -678? -645 What is next in 251, 484, 709, 926, 1135? 1336 What comes next: -336, -300, -276, -270, -288, -336, -420, -546? -720 What comes next: 57, 51, 49, 51, 57, 67? 81 What comes next: 161, 1319, 4497, 10715, 20993, 36351, 57809? 86387 What is next in -14864, -29732, -44602, -59474, -74348, -89224? -104102 What is the next term in -2287, -2241, -2195, -2149, -2103? -2057 What is next in -404, -258, -20, 304, 708, 1186, 1732? 2340 What is the next term in -91, 42, 175, 308, 441? 574 What is next in 419, 419, 407, 377, 323, 239,
{ "pile_set_name": "DM Mathematics" }
11/5? (a) -2 (b) 5 (c) -15 (d) 6055 b Which is the closest to 3? (a) 10.3 (b) -0.2 (c) 0.764 (d) -2/7 (e) -22 c What is the nearest to 0 in -134, 3/7, -7505, -0.1? -0.1 What is the nearest to 13 in 383, 0.2, -6/77, -0.3? 0.2 What is the nearest to 2 in -5, 10, 2/15, -1256985, -3, 0.5? 0.5 Which is the closest to 2? (a) 456 (b) 41 (c) 1 (d) 0.6 (e) 4 c Which is the nearest to -0.1? (a) -20/73 (b) -5 (c) 41 (d) 42 a Which is the nearest to -25542? (a) 2 (b) -5 (c) -48 c What is the closest to 1/5 in -2/27, -31, -32.8, 0.5? -2/27 What is the nearest to 105/19 in 0, 5, 26? 5 Which is the nearest to 1? (a) 0.0442 (b) -290 (c) 0.3 c Which is the closest to 0.5? (a) -14 (b) -3.183 (c) -2/15 (d) 0.05 d What is the closest to 34 in -936, 33, 2/7? 33 What is the closest to -2 in 21111, -3, -5? -3 Which is the nearest to 12/31? (a) 1/9 (b) 100 (c) -4 (d) -1 (e) -1/3 a Which is the nearest to -215.6? (a) 0.057 (b) -5 (c) -54 c Which is the nearest to -61? (a) -213/13 (b) 0.1 (c) 1 a What is the nearest to -2/5 in -51, -4, -8, -14/3, -26, -0.2? -0.2 Which is the closest to 21? (a) 613 (b) -1/12 (c) 0.3 (d) -10 c Which is the nearest to -290? (a) 1 (b) -1/4 (c) -121 (d) -1/16 (e) -0.3 c Which is the nearest to 3/11? (a) 2/5 (b) -12 (c) -3/2 (d) -318 a What is the closest to -1/4 in -44.81, -41, 1/8? 1/8 What is the nearest to 0.6 in 0, -928/17, -3, -136/3? 0 Which is the nearest to 2? (a) -1/4 (b) 331/4 (c) -403 (d) -21 a Which is the closest to 1/22? (a) -16 (b) 1/77 (c) 2/5 b What is the nearest to 2 in 1/3, -0.02, -1294, 0, -118? 1/3 Which is the closest to -0.1? (a) 1266212/15 (b) -3/5 (c) 4 (d) -3/4 b Which is the closest to -2? (a) 9 (b) 0 (c) 1/5 (d) 895 (e) 36 b Which is the closest to -2/11? (a) -0.022 (b) 41 (c) -3/7 (d) 8 a What is the closest to -2 in -0.264, 3/11, -3, -536? -3 Which is the closest to 3? (a) 2/9 (b) -1 (c) 0.1 (d) -13 (e) -4/7 a Which is the nearest to 1/7? (a) 1 (b) 3 (c) -8 (d) 7 (e) -1/4 e Which is the nearest to 0.27? (a) -0.4 (b) 6 (c) 1/5 (d) -0.1408 c Which is the nearest to 5/101? (a) -1/3 (b) -874 (c) -5 (d) -4 (e) -3 a Which is the nearest to -0.13? (a) 8 (b) -0.05 (c) 60 (d) 5 (e) 0.2 b What is the nearest to -1 in -2269, 1359, 0? 0 What is the closest to 5 in 1/1184, -1/2, -1/32, 1/7? 1/7 Which is the closest to -3189? (a) 1042/5 (b) 0.1 (c) -1 c What is the closest to -625 in -2, 1, 5, 2/2109? -2 Which is the nearest to 0? (a) 3/2 (b) 4 (c) 0.5 (d) 114 (e) -1/56 e Which is the closest to -2/9? (a) 184 (b) 23 (c) 0 (d) -4/3 (e) 11 c What is the closest to -2 in -596, 1/2, 31, 1, -4? -4 Which is the nearest to -46? (a) -2/5 (b) 1/7 (c) -2 (d) -47/23 d What is the nearest to 289 in 7/2, -3, 0.05, -2/19? 7/2 What is the closest to 56 in 2/5, -6065, -43? 2/5 Which is the closest to 2/9? (a) -1/4 (b) 4 (c) 1/5 (d) 587360 (e) -5 (f) -2/11 c What is the closest to -4/46363 in -1/3, 0.5, 14, 5, 2/13? 2/13 Which is the closest to 11/3? (a) 0.5 (b) -95 (c) 17 a Which is the closest to 0.2? (a) -714 (b) 1332/17 (c) -1/3 (d) -0.3 (e) -2/3 d What is the closest to 0 in -5/21, 51, -0.3, -3, 5, -274? -5/21 What is the closest to 4 in 1/3, 2278, -8.3, 3, -1/6? 3 What is the closest to 1/4 in -4/7, -421, 0.7? 0.7 What is the closest to -0.2 in -1/12, 3/13, 3/7, 5191? -1/12 Which is the nearest to 6.703? (a) 0 (b) -2.2 (c) 0.3 (d) -33 (e) -0.2 c Which is the nearest to -5.749? (a) 0.1 (b) -95 (c) -5 c What is the closest to 8 in -73/10, 1, 4? 4 Which is the nearest to 2/5? (a) -2/11 (b) 0.30892 (c) -1/3 (d) 2/9 (e) -11 b Which is the closest to 1/467305? (a) -0.2 (b) 5 (c) 0.5 a Which is the closest to 32? (a) 9 (b) 0 (c) -0.03 (d) -3 (e) -7 (f) -3/26 a Which is the nearest to -8? (a) 6/7 (b) -1/4 (c) 0.42 (d) -2/19 (e) -1/7 (f) -1/2 f Which is the closest to 6? (a) -0.147 (b) 4 (c) 2 b Which is the closest to 77.4? (a) 1 (b) 2 (c) -2 (d) 64 (e) 0 d Which is the closest to -2? (a) -5 (b) -8 (c) 3 (d) 1/751 d What is the nearest to -0.22 in 0.6, 0.5, -18, -2/7, -1.2? -2/7 What is the closest to -0.2 in 0.0714, -13, -5, 0.3, 0.1? 0.0714 Which is the closest to 1/4? (a) -0.2 (b) -372 (c) -1 (d) -1313 a What is the nearest to 0.1 in 1/10, -147, 0, -108? 1/10 Which is the closest to -1155? (a) -7 (b) -3.869 (c) -2 a What is the closest to 2/3 in 64, -4/3, -5, 20, -0.1443, 1/5? 1/5 What is the nearest to -19524 in 1/8, -14, 5/6? -14 Which is the closest to 2? (a) -1/3 (b) 3 (c) -6.9 (d) -89/2 (e) -99 b What is the closest to -2/3 in 1/2, -4/13, 38, -2679/7? -4/13 What is the nearest to -4 in 5, 2/3, -320, -4/3, -2? -2 Which is the nearest to 2/5? (a) -18 (b) 0 (c) -0.02 (d) 4 (e) -52 (f) -0.08 b Which is the nearest to 2/7? (a) 0.1 (b) -2 (c) -147/8 (d) -12/13 a Which is the nearest to 0.1? (a) 0 (b) -0.89 (c) 5 (d) 1 (e) -1 a Which is the closest to 0.2? (a) -7/44 (b) 3 (c) 3339 a Which is the closest to -11? (a) -4/13 (b) 4 (c) -12 (d) 53 (e) -0.1 c What is the nearest to 1/4 in -8, -2, -0.192522? -0.192522 What is the closest to 0 in 0.2, -1156, 0.3, 24? 0.2 Which is the closest to -2/5? (a) -3/29 (b) -5 (c) 0.3936 (d) 1.4 (e) -3/8 (f) -4 e Which is the nearest to 1/105? (a) 10 (b) -0.5 (c) -0.382 (d) 1/6 (e) -3 (f) -2/7 d Which is the closest to -12467.9? (a) 2/3 (b) -3/20 (c) -3 c What is the nearest to 2.7 in 3/8, 0, -0.1, 0.4, 1/6, 1272? 0.4 Which is the closest to -455? (a) -1.9 (b) -4 (c) -0.09 (d) -0.01 (e) -0.3 b What is the nearest to 3 in -5, 0.839, 4, -11/7, 3, 8? 3 Which is the nearest to -0.3? (a) -7 (b) -43.694 (c) -2 c What is the nearest to 0.111 in -1103, 10/7, 0.5, 1/4, 2? 1/4 Which is the nearest to 10/3? (a) -26/3 (b) 3/2 (c) -2/3 (d) -3/11 (e) -3 (f) -0.5 b What is the closest to -162 in 1/2, 0.2, -1.5296? -1.5296 Which is the nearest to -8626? (a) -2/3 (b) 2/47 (c) 2 (d) 0.027 a What is the closest to -0.25 in -2.06, 2, -2/5, 11.9? -2/5 Which is the closest to 12718? (a) 2 (b) -2/5 (c) -3 (d) 20 d What is the closest to 0.1 in -5, 120/11, -38, 0.1, 32/7? 0.1 Which is the closest to -2/3? (a) -9 (b) -11 (c) 19 (d) 3 (e) -14 d Which is the nearest to 0.8? (a) -1 (b) 119067 (c) 0.2 (d) -0.4 c What is the closest to 0 in 61, -1/4, -0.14, -391? -0.14 What is the nearest to -5 in 0, 0.3, -7, -3360, 0.1? -7 Which is the closest to -0.04? (a) 0.4 (b) -135 (c) -0.01484 c What is the nearest to -1 in 3, -6/59, 9/53, -2.6? -6/59 Which is the closest to 0? (a) -2662/71 (b) -1 (c) 0.5 (d) -3 (e) -5 c What is the nearest to 1 in 0, 393, -2, -1/10? 0 What is the nearest to -2/7 in -0.4, 1, 30110, 2/11, -5? -0.4 What is the closest to 1/7 in -38/9, -0.3, 1/2, 4, 1691? 1/2 What is the closest to 4 in -1.52, 229, 2/31? 2/31 Which is the nearest to 1/4? (a) -3 (b) 3/8 (c) 391 (d) -83 b Which is the nearest to -0.2? (a) 22 (b) 14 (c) -394.5 b Which is the closest to -1/868? (a) 3 (b) -24 (c) 0 (d) -1.51 c Which is the nearest to -58/7? (a) 0 (b) -8/7 (c) -0.148 (d) 4 (e) -5 (f) 1 e What is the closest to -12/11 in 33, 3, 50, -23, -0.02? -0.02 Which is the nearest to 0.1? (a) 25 (b) 4/9 (c) -0.06506 c What is the nearest to 1 in -14.87, 0.4, -0.06076? 0.4 Which is the closest to 102/11? (a) -1/7 (b) -1 (c) 0.5 (d) -2 (e) -2/21 c What is the closest to -0.3 in -5, -0.1, -3, 2608/345? -0.1 What is the nearest to -12 in 3.8, -1, 987, -8? -8 Which is the closest to -3131? (a) 2/11 (b) -33 (c) 1/4 b Which is the nearest to -1? (a) -60615 (b) 265 (c) 0.4 c What is the closest to -1 in 4/5, -10240, 1/3, -5, -4, 0? 0 Which is the nearest to -7764.8? (a) 3/4 (b) -0.1 (c) 8 b What is the closest to 374 in 2, -4, 0.1, 3094.06? 2 What is the closest to 13 in -2/7, 5/2113, 4/7? 4/7 What is the closest to -2/5 in 10, -0.5, -42988? -0.5 What is the nearest to 5798 in 10, -1, -13, -5? 10 What is the nearest to -2412/11 in 0.4, 240, 1, 0.1, 2? 0.1 What is the nearest to 99 in 3/7, -3, -254? 3/7 What is the closest to 0.06 in 2, 5, -57, 2183? 2 Which is the nearest to 0.1? (a) 23 (b) -95.28 (c) 10 (d) -5 d What is the nearest to -1 in 49555, 2/75, -1, 0.5? -1
{ "pile_set_name": "DM Mathematics" }
**2 - 37*w - 429 What is the t'th term of 6898715, 13797428, 20696141, 27594854, 34493567, 41392280? 6898713*t + 2 What is the h'th term of -97, -320, -939, -2152, -4157, -7152, -11335? -33*h**3 + 8*h - 72 What is the p'th term of 1855505089, 3711010179, 5566515269? 1855505090*p - 1 What is the a'th term of -7635, -15393, -23173, -30975, -38799? -11*a**2 - 7725*a + 101 What is the r'th term of 42501975, 85003949, 127505923, 170007897, 212509871, 255011845? 42501974*r + 1 What is the i'th term of -39195475, -39195476, -39195477, -39195478, -39195479, -39195480? -i - 39195474 What is the m'th term of -2622936, -2622936, -2622944, -2622966, -2623008, -2623076, -2623176, -2623314? -m**3 + 2*m**2 + m - 2622938 What is the j'th term of 16258, 32225, 48196, 64171? 2*j**2 + 15961*j + 295 What is the u'th term of -19488153, -19488144, -19488129, -19488108? 3*u**2 - 19488156 What is the q'th term of -1932506, -1932490, -1932464, -1932428, -1932382? 5*q**2 + q - 1932512 What is the r'th term of -8380898, -8380888, -8380870, -8380844? 4*r**2 - 2*r - 8380900 What is the y'th term of -30669606, -30669616, -30669640, -30669684, -30669754, -30669856, -30669996? -y**3 - y**2 - 30669604 What is the q'th term of 347605, 347710, 347815, 347920, 348025, 348130? 105*q + 347500 What is the f'th term of 4, 588, 2364, 5992, 12132, 21444? 110*f**3 - 64*f**2 + 6*f - 48 What is the h'th term of -82332, -82153, -82012, -81927, -81916, -81997, -82188? -3*h**3 - h**2 + 203*h - 82531 What is the s'th term of 23614212, 23614208, 23614204, 23614200, 23614196? -4*s + 23614216 What is the l'th term of -90151779, -90151778, -90151777, -90151776, -90151775? l - 90151780 What is the d'th term of 9524, 3640, -2246, -8134, -14024? -d**2 - 5881*d + 15406 What is the l'th term of -13356, -106908, -360838, -855336, -1670592, -2886796, -4584138? -13365*l**3 + l**2 + 8 What is the w'th term of -8000, -64056, -216222, -512558, -1001124, -1729980, -2747186, -4100802? -8010*w**3 + 5*w**2 - w + 6 What is the f'th term of 8678, 9267, 9856, 10445, 11034, 11623? 589*f + 8089 What is the y'th term of -600552455, -600552454, -600552453, -600552452, -600552451? y - 600552456 What is the i'th term of 12352946, 24705887, 37058830, 49411775? i**2 + 12352938*i + 7 What is the m'th term of 505499, 1010991, 1516479, 2021963, 2527443, 3032919? -2*m**2 + 505498*m + 3 What is the g'th term of 12228, 12486, 12740, 12990? -2*g**2 + 264*g + 11966 What is the h'th term of -68142, -68104, -68064, -68022, -67978, -67932, -67884? h**2 + 35*h - 68178 What is the o'th term of -6971576, -13943144, -20914712, -27886280, -34857848? -6971568*o - 8 What is the b'th term of 12920621, 12920619, 12920617? -2*b + 12920623 What is the z'th term of -35393, -70871, -106361, -141863? -6*z**2 - 35460*z + 73 What is the g'th term of 110931, 443850, 998725, 1775556, 2774343, 3995086, 5437785? 110978*g**2 - 15*g - 32 What is the q'th term of -929, -2229, -4289, -7487, -12201, -18809, -27689, -39219? -63*q**3 - 2*q**2 - 853*q - 11 What is the g'th term of -4166661, -8333305, -12499949, -16666593, -20833237? -4166644*g - 17 What is the v'th term of -5994, -23541, -52792, -93747, -146406? -5852*v**2 + 9*v - 151 What is the f'th term of -206925, -205034, -201883, -197472? 630*f**2 + f - 207556 What is the x'th term of 81592, 163171, 244742, 326305, 407860, 489407? -4*x**2 + 81591*x + 5 What is the i'th term of 18458250, 36916500, 55374750, 73833000? 18458250*i What is the h'th term of -204758, -204715, -204672, -204629, -204586? 43*h - 204801 What is the a'th term of 40641, 55416, 70191, 84966? 14775*a + 25866 What is the d'th term of 391, -364, -2261, -5300? -571*d**2 + 958*d + 4 What is the x'th term of -73082, -292318, -657880, -1169906, -1828534, -2633902, -3586148? -23*x**3 - 73025*x**2 - 34 What is the y'th term of -61554521, -61554513, -61554505, -61554497, -61554489, -61554481? 8*y - 61554529 What is the m'th term of -800, -2982, -6546, -11492, -17820, -25530? -691*m**2 - 109*m What is the t'th term of -5321, -10872, -16643, -22628, -28821, -35216? t**3 - 116*t**2 - 5210*t + 4 What is the a'th term of 2049235, 2049230, 2049225, 2049220, 2049215? -5*a + 2049240 What is the s'th term of 2423, 3150, 4333, 5978, 8091, 10678? s**3 + 222*s**2 + 54*s + 2146 What is the w'th term of -117134, -468534, -1054200, -1874132, -2928330? -117133*w**2 - w What is the f'th term of 4939, 9963, 15079, 20287? 46*f**2 + 4886*f + 7 What is the t'th term of -99, -165, -223, -231, -147? 7*t**3 - 38*t**2 - t - 67 What is the b'th term of 234633, 468598, 702563, 936528? 233965*b + 668 What is the i'th term of -142644, -142593, -142540, -142485, -142428, -142369? i**2 + 48*i - 142693 What is the w'th term of 8840, 7620, 6400, 5180, 3960? -1220*w + 10060 What is the j'th term of 732, 2948, 8102, 17664, 33104, 55892, 87498, 129392? 245*j**3 - j**2 + 504*j - 16 What is the n'th term of 287, 538, 733, 860, 907, 862? -2*n**3 - 16*n**2 + 313*n - 8 What is the r'th term of 60607, 60449, 60187, 59821? -52*r**2 - 2*r + 60661 What is the n'th term of -30397, -60919, -91443, -121969? -n**2 - 30519*n + 123 What is the x'th term of -10700, -42786, -96258, -171116, -267360, -384990, -524006? -10693*x**2 - 7*x What is the i'th term of 177167833, 177167829, 177167811, 177167773, 177167709, 177167613, 177167479, 177167301? -i**3 - i**2 + 6*i + 177167829 What is the n'th term of 35263, 70730, 106191, 141646, 177095? -3*n**2 + 35476*n - 210 What is the k'th term of 2041, 1109, -445, -2621? -311*k**2 + k + 2351 What is the u'th term of 150804, 290148, 429490, 568830, 708168, 847504, 986838? -u**2 + 139347*u + 11458 What is the a'th term of 68660, 140704, 212748, 284792, 356836, 428880? 72044*a - 3384 What is the k'th term of -7502, -13174, -17006, -18998, -19150, -17462, -13934? 920*k**2 - 8432*k + 10 What is the b'th term of 17946, 17873, 17740, 17541, 17270? -b**3 - 24*b**2 + 6*b + 17965 What is the n'th term of 64928, 257276, 577042, 1024226? 63709*n**2 + 1221*n - 2 What is the b'th term of 326250, 326191, 326132, 326073, 326014? -59*b + 326309 What is the k'th term of -1792, -12531, -41196, -96751, -188160? -1494*k**3 + k**2 - 284*k - 15 What is the l'th term of 99372, 99369, 99368, 99369? l**2 - 6*l + 99377 What is the j'th term of 4580, 3950, 3320, 2690? -630*j + 5210 What is the m'th term of 1308, -2054, -7662, -15522, -25640, -38022, -52674? -m**3 - 1117*m**2 - 4*m + 2430 What is the l'th term of -260061240, -260061238, -260061236? 2*l - 260061242 What is the n'th term of -19779, -19869, -20027, -20253, -20547? -34*n**2 + 12*n - 19757 What is the o'th term of 831994, 1663977, 2495960, 3327943, 4159926? 831983*o + 11 What is the p'th term of -5758, -19309, -40652, -69787, -106714, -151433, -203944? -3896*p**2 - 1863*p + 1 What is the h'th term of 1779175917, 1779175918, 1779175921, 1779175926? h**2 - 2*h + 1779175918 What is the a'th term of 285, -532, -2355, -5190, -9043? -a**3 - 497*a**2 + 681*a + 102 What is the c'th term of 3173912, 3173908, 3173904, 3173900, 3173896? -4*c + 3173916 What is the p'th term of 600, 5377, 13338, 24483, 38812, 56325? 1592*p**2 + p - 993 What is the i'th term of 59294944, 237179766, 533654468, 948719050, 1482373512, 2134617854? 59294940*i**2 + 2*i + 2 What is the q'th term of -52908, -52718, -52578, -52488? -25*q**2 + 265*q - 53148 What is the p'th term of -3833, -5649, -7465? -1816*p - 2017 What is the a'th term of -20609, -39712, -58815, -77918, -97021, -116124? -19103*a - 1506 What is the s'th term of 4916, 20045, 45260, 80561, 125948, 181421, 246980? 5043*s**2 - 127 What is the u'th term of 805, 3570, 8211, 14752, 23217, 33630, 46015, 60396? 4*u**3 + 914*u**2 - 5*u - 108 What is the r'th term of 1888139, 3776298, 5664465, 7552640, 9440823, 11329014? 4*r**2 + 1888147*r - 12 What is the f'th term of 182, 1308, 4448, 10634, 20898, 36272, 57788, 86478? 172*f**3 - 25*f**2 - 3*f + 38 What is the x'th term of 265957, 265328, 264721, 264148, 263621, 263152? 2*x**3 - x**2 - 640*x + 266596 What is the t'th term of -2053, 1498, 5047, 8594, 12139, 15682? -t**2 + 3554*t - 5606 What is the v'th term of 213210, 213499, 213788? 289*v + 212921 What is the n'th term of -44400, -69444, -94474, -119484, -144468, -169420, -194334? n**3 + n**2 - 2505
{ "pile_set_name": "DM Mathematics" }
2*i*z**2 + 44*z**6 wrt z? -60*i**3 + 5280*z**3 What is the second derivative of -146*n**3 - n**2 + 2*n - 237 wrt n? -876*n - 2 What is the second derivative of 2*i**3*x**2 + 25*i**2*x**2 + 3*i*x**2 + 6*i + 19*x**2 wrt i? 12*i*x**2 + 50*x**2 Differentiate k**2*o**3 + 98*k**2*o + 13*k**2 + 1560*o**3 + 3*o - 2 with respect to k. 2*k*o**3 + 196*k*o + 26*k Find the second derivative of a*c**2*u**3*v - 16*a*c*u**2 - 21*a*u**3*v - a*u*v - 240*c**2*u**3 + c**2*u*v - c*u*v wrt c. 2*a*u**3*v - 480*u**3 + 2*u*v Find the third derivative of -78*h**3*m**5 - h**3 + 2*h*m**3 + 26*m**2 wrt m. -4680*h**3*m**2 + 12*h What is the third derivative of -1950*y**4 - 126*y**2 wrt y? -46800*y What is the second derivative of -8*h*l*z**2 - 4*h*l*z - 2*h*l + l*z**2 + l*z + 2*z**2 + 2*z wrt z? -16*h*l + 2*l + 4 Find the first derivative of -457*f**3 - 133 wrt f. -1371*f**2 What is the third derivative of 14*j**3*o**2*r**3 + 4*j**3*o - j**3*r**3 - 2*j**2*o*r**2 - 8*j*r**3 + 28*o**2 wrt r? 84*j**3*o**2 - 6*j**3 - 48*j Find the second derivative of 164*c**2*i**3*r - 10*c**2*i**2*r**3 + 13*c*r**3 - 97*i**3*r wrt c. 328*i**3*r - 20*i**2*r**3 What is the second derivative of -a**4 + 14*a**2 - 51*a - 1? -12*a**2 + 28 What is the derivative of -3*c**2*p*z - c**2 + 12*p**2*z**2 - 78*p**2 wrt z? -3*c**2*p + 24*p**2*z Find the third derivative of 843*p**3*r**4 + 2*p**3*r**2 - 2*p**3*r + 155 wrt r. 20232*p**3*r Find the second derivative of -65*j**4 - 2*j**3 + 4*j - 18 wrt j. -780*j**2 - 12*j Differentiate -9*g*o + 3*g*z**2 - 12*g + 3*o*z + o - 12*z**2 - 7 wrt g. -9*o + 3*z**2 - 12 Find the third derivative of 5*a**2*h**3*s**3 + 25*a**2*h**2*s**2 + 10*a*h**3*s**3 - 2*a*h**2*s**3 - 2*a*h**2*s + h**2 wrt h. 30*a**2*s**3 + 60*a*s**3 Find the first derivative of 4*a**2 + 145*a + 5963. 8*a + 145 What is the second derivative of 23*a**2*j**2 + 3*a**2*j*u - 2*a**2*u - 2*a*j**2 + 12*a - 2*u wrt a? 46*j**2 + 6*j*u - 4*u What is the third derivative of -5*m**3*x**3 + 11*m**3 - 16*m*x**2 - 209*x**6 + 3 wrt x? -30*m**3 - 25080*x**3 What is the first derivative of -16*d**4 + 21*d**2 - 824 wrt d? -64*d**3 + 42*d What is the second derivative of 19*t**5 + 10*t**3 - 150*t - 1? 380*t**3 + 60*t Find the second derivative of -2*o**4 + 111*o**3 - 294*o wrt o. -24*o**2 + 666*o What is the second derivative of -255*t**2 - 233*t? -510 What is the first derivative of 142*d**3*u**2 - d**3*u + 3*d - 2611*u**2 wrt d? 426*d**2*u**2 - 3*d**2*u + 3 Find the third derivative of -2134*y**6 - 2919*y**2 wrt y. -256080*y**3 Find the first derivative of 834*l - 909. 834 Find the second derivative of 505*b**2 + 6188*b wrt b. 1010 Find the second derivative of 276*i**5 + 19*i + 3. 5520*i**3 What is the second derivative of -4*j**4*u - 2*j**4 + 108*j**3 + 12*j*u + 16*j + 5*u wrt j? -48*j**2*u - 24*j**2 + 648*j Differentiate 4684*h - 3736. 4684 Find the third derivative of -9*n**4 - 7*n**3 + 8*n**2 + 2*n wrt n. -216*n - 42 Find the third derivative of 4*l**5*z + 22*l**3*z + 3*l**2 - 8*l*z - 4*z wrt l. 240*l**2*z + 132*z Find the third derivative of 277*j**3*p**3 + 609*j**3 - j**2*p**3 + p**2 wrt p. 1662*j**3 - 6*j**2 What is the first derivative of 7*a**2 - 13*a - 7574 wrt a? 14*a - 13 What is the derivative of 92*d - 147 wrt d? 92 What is the first derivative of 3*g**2*o + 9*g**2*v**2 + 4*g*o - o*v - 8*v**2 + 2*v wrt g? 6*g*o + 18*g*v**2 + 4*o Find the second derivative of 4*b**2*t**2*y - 6*b**2*t*y + b**2*z + 3*b*t**2*y*z - 2*b*y*z + 13*t**2*y wrt b. 8*t**2*y - 12*t*y + 2*z What is the third derivative of 84*d**3*s + 14*d**3 + 3354*d**2*s wrt d? 504*s + 84 What is the third derivative of 492*x**3 - 1209*x**2 wrt x? 2952 Differentiate -8*q**3*z**2 + 4198*q**3 - 4*q**2*z**2 + q**2 + 49*q*z**2 wrt z. -16*q**3*z - 8*q**2*z + 98*q*z What is the derivative of -2*b**3*t - 35*b**3 - b*t*y + 2*t*y - 75 wrt b? -6*b**2*t - 105*b**2 - t*y Find the third derivative of 248*b**3 + 52*b**2 + 3*b. 1488 What is the derivative of 55*u**2 + 8*u + 1848? 110*u + 8 What is the third derivative of 2*l**3*q**3 - 1778*l**3 + 12527*l**2*q**4 - l*q**2 - q**2 wrt q? 12*l**3 + 300648*l**2*q Differentiate 264*d*o*p*q**2 + 2*d*o*q + 54*d*p*q**2 - o*q**2 - 3*p*q**2 - q**2 wrt o. 264*d*p*q**2 + 2*d*q - q**2 What is the third derivative of 3088*b**2*d**3 + 51*b**2*d**2 + 7*b**2*d + 3*d wrt d? 18528*b**2 Find the third derivative of -17*c**3*s**3 + 222*c**3*s*z + 5*c**2*s**3*z + 2*c*s**3 + s**2*z + s*z + 2*z wrt s. -102*c**3 + 30*c**2*z + 12*c What is the second derivative of 27*i**2*k**4 + 835*i**2*k + 5*i**2 - 13*i*k**5 wrt k? 324*i**2*k**2 - 260*i*k**3 Find the third derivative of 4*j**5*q**2 - 18*j**3*q**2 + 2*j**2*q - 159*q**2 wrt j. 240*j**2*q**2 - 108*q**2 Differentiate 4892*o - 6327. 4892 Find the second derivative of 8726*i**2 - 14*i + 14. 17452 Find the second derivative of -k**2*p**2*r - 2*k**2*r**2 - 15*k*p**2*r*s + k*s - p**2*r**2 + 2*p*r**2*s - 5*p*s wrt p. -2*k**2*r - 30*k*r*s - 2*r**2 Differentiate -14*g*o*v**3 + g*o*v - 22*g - 966*o*v**3 + v**3 - v**2 with respect to g. -14*o*v**3 + o*v - 22 Find the third derivative of k**6 + 2*k**4 + 352*k**3 + 2*k**2 + 466*k - 1 wrt k. 120*k**3 + 48*k + 2112 What is the second derivative of -71*u**5 - u**4 + 83*u + 1 wrt u? -1420*u**3 - 12*u**2 Find the second derivative of m**5 - 308*m**2 - 1002*m wrt m. 20*m**3 - 616 What is the second derivative of -2*p**3 + 72*p**2 - 48*p - 2 wrt p? -12*p + 144 What is the second derivative of -1740*h**3 + 250*h + 2? -10440*h What is the derivative of -174*r**2*u**3 + r**2 - 1996*r - 3*u**3 wrt u? -522*r**2*u**2 - 9*u**2 What is the third derivative of 11804*h**3*l**3 + h**2*l**3 - 68*h**2*l**2 - 2*h**2 + 3*l**2 wrt h? 70824*l**3 What is the third derivative of -1395*z**5 - 2*z**3 - 1819*z**2 - 1 wrt z? -83700*z**2 - 12 What is the third derivative of -g*o*x - 5*g*o*y**3 + 11*g*x*y**3 - 8*g*y**3 + 26*g - 2*o*x*y**2 - 4*y**2 wrt y? -30*g*o + 66*g*x - 48*g Find the second derivative of 3*j**3*l + 42*j**2 + j*l + 8*l wrt j. 18*j*l + 84 Find the second derivative of 2*f**4*p - 152*f**3*p**2 + 20*f*p**2 + 61*p**2 wrt f. 24*f**2*p - 912*f*p**2 Find the third derivative of -29*d**3*i**3 - 3*d**3*i**2 + 31*d**3 - 9*d**2*i**3 - 33*d**2*i + 2*d**2 + 4*i**3 wrt d. -174*i**3 - 18*i**2 + 186 Differentiate 158*p**3 + p**2 + 742 with respect to p. 474*p**2 + 2*p Find the second derivative of -2*b**3*o**3*z + 4*b**3*o**3 + 2*b**3*o*z**2 + 2*b**2*o**3*z - 180*o**3*z**2 - 2*o*z wrt z. 4*b**3*o - 360*o**3 Find the second derivative of -g*n**2*z**2 + g*n**2 + 35*g*n*z**3 - 9*g*n*z - 2*n**2*z - 2*n*z + 4*z**3 + 4*z wrt z. -2*g*n**2 + 210*g*n*z + 24*z Find the first derivative of -212*l - 80 wrt l. -212 What is the second derivative of 31653*v**2 + 1025*v? 63306 What is the derivative of -m**2 - 172*m + 301 wrt m? -2*m - 172 Find the third derivative of 20*r**4 - 12*r**3 + r**2 + 337*r. 480*r - 72 Find the first derivative of -4*j**2*s - 2*j*s - 6*s + 41 wrt j. -8*j*s - 2*s What is the second derivative of 2*v**4 + 103*v**2 + 24*v + 3 wrt v? 24*v**2 + 206 Find the first derivative of 5*b**2*q*x**2 - 61*b**2 + q + 2*x**2 + x wrt x. 10*b**2*q*x + 4*x + 1 Find the third derivative of 3*q*z**4 - 16*q*z**3 + 2*q*z**2 + q*z + z**4 + 18*z**2 wrt z. 72*q*z - 96*q + 24*z Find the second derivative of 2*y**4 - 18*y**3 + 347*y wrt y. 24*y**2 - 108*y What is the second derivative of -266*u**4 - 126*u wrt u? -3192*u**2 What is the second derivative of -2*q**2*z**2 - 1461*q**2*z - 1346*q*z**2 wrt q? -4*z**2 - 2922*z What is the first derivative of 14586*c**2*u + 3516*c**2 wrt u? 14586*c**2 Find the first derivative of -54*s**4 + 203 wrt s. -216*s**3 What is the derivative of 10781*y**4 + 29204 wrt y? 43124*y**3 What is the second derivative of 3*d**3*f**3 - 38*d**2*f**3 + 2*d*f**3 + 38*d*f**2 wrt d? 18*d*f**3 - 76*f**3 Find the third derivative of -17088*q**3 + 10893*q**2 + 2*q wrt q. -102528 Find the third derivative of -d*f*v**4 - d*f*v**3 + 5*d*f*v**2 - 2*d*f*v - 13*d*f - 73*d*v**4 wrt v. -24*d*f*v - 6*d*f - 1752*d*v Differentiate -3*u*y**4 - 2*u*y + 11*u + 2*y**4 - 28 with respect to y. -12*u*y**3 - 2*u + 8*y**3 Differentiate -2*d*q*u + 21*d*q + 6*d*u - 3*q*u + 2*u*z - 12*z wrt u. -2*d*q + 6*d - 3*q + 2*z What is the second derivative of -2*m**5 - 56*m**4 + 45*m + 3 wrt m? -40*m**3 - 672*m**
{ "pile_set_name": "DM Mathematics" }
-340*m. Put m, 4, -15 in descending order. 4, m, -15 Let b = -9426 - -9428. Let c(j) = j**2 + 6*j + 2. Let l be c(-8). Put b, -4, l in ascending order. -4, b, l Let n(t) = 492*t - 2483. Let y be n(5). Sort 3, -1, -3, y in decreasing order. 3, -1, -3, y Let a = 7 - 10. Suppose 0 = 3*b - 23 + 29. Let i be (-13)/b + (12/8 - 2). Sort 1, 4, a, i in ascending order. a, 1, 4, i Suppose 19*r + n = 14*r - 14, -4*n = -5*r + 31. Let s be (-3)/((-3)/(-29)) - 1. Put 0, s, r in descending order. 0, r, s Let y = 5397 - 37781/7. Sort y, 2/13, 6/5, -5, -82 in ascending order. -82, -5, y, 2/13, 6/5 Let o(t) = 2*t**2 + t - 1. Let g be 0 - 3/(3/2). Let b be o(g). Suppose 3*x = -4*l - 42, 0 = l - 156*x + 158*x + 23. Sort l, b, -7, 2 in increasing order. -7, l, 2, b Let f(b) = 7*b - 33. Let m be f(5). Suppose 17*a + 96 = -21*a + 6*a. Sort -6, a, m in decreasing order. m, a, -6 Let k(c) = -c**2 + 88*c - 1741. Let q be k(30). Suppose 12 = 4*m, 14 = -0*g + 2*g + 4*m. Sort -4, q, g in decreasing order. g, q, -4 Let d(m) = -m**2 - 150*m - 997. Let o be d(-7). Suppose -t - 9 = -11. Put 0, t, o, -4 in ascending order. -4, 0, t, o Let t(k) = 2*k - 12. Let r be t(-30). Let j be (-432)/r*(-4)/6. Sort -5, j, 51 in increasing order. -5, j, 51 Suppose -43*l + 48*l - 8 = m, -l = 5*m + 92. Sort 1, m, 2 in increasing order. m, 1, 2 Let t(j) = j**3 + 27*j**2 + 166*j + 134. Let u be t(-19). Sort -1, 4, 1, u, -4 in descending order. 4, 1, -1, -4, u Let f = -136.8 - -137. Let n = 17 + -12. Put n, -3, f in increasing order. -3, f, n Suppose -f = 3*u + 3*f + 2, -5 = -5*f. Let k = -1 + 5. Suppose k*r + 12 = -0*r. Put r, 5, u in increasing order. r, u, 5 Let u(g) = 2*g**2 + 2*g - 2. Let h be u(-2). Suppose w + 2*w + 62 = 4*c, -10 = -c - h*w. Sort -4, c, 0. -4, 0, c Let k be ((-6)/(-3501))/(-1)*3. Let w = k + -764/2723. Let c = 5 - 7. Put w, c, 1/3, 0 in descending order. 1/3, 0, w, c Suppose -f - 382 = 3*d - 315, -d = 2*f + 24. Let j = 0 + 0. Let m = j + 2. Put f, -4, 1/4, m in ascending order. -4, f, 1/4, m Let y = 31756 - 31755. Sort -104, y, 0, -5, -3 in decreasing order. y, 0, -3, -5, -104 Let l = 3.4 + -3. Let p = 434 - 432. Let u be (-16)/168*6/(4 - p). Put u, l, 0, -5 in descending order. l, 0, u, -5 Let k(j) = -j**2 - 29*j + 215. Let m be k(6). Put -13, -7, 0, m in decreasing order. m, 0, -7, -13 Let o = -42 + 290. Suppose -8*f - o = -16*f. Put 4, -3, f in decreasing order. f, 4, -3 Suppose 6*b - b - 15 = 5*k, 0 = 2*b + 4*k. Let x be 1 + (6/4 - (b - 3)). Let o = -17/6 + x. Sort 0.1, o, 1/7 in descending order. o, 1/7, 0.1 Let s(i) = -89*i**2 - 1602*i - 5. Let z be s(-18). Sort 60, z, 0 in descending order. 60, 0, z Let s be ((242/4)/11 - 6)*6/(-4). Sort s, 3/8, -1564. -1564, 3/8, s Let x = 9215 - 9194. Sort 13, 0, 3, x in ascending order. 0, 3, 13, x Suppose -49*z - 47 = -2*z. Suppose a - 5*a = 3*b - 47, -3*a + 29 = b. Sort a, -3, z in ascending order. -3, z, a Let o be 12/10 - (-1)/(-5). Let w = o + -2. Let y be ((-78)/9)/(((-3)/27)/(34/102)). Sort -3, y, w, 0 in decreasing order. y, 0, w, -3 Let h = 3.6651 - 3.7151. Let a be (-3)/(-12) - (-9)/(-4). Let n be -1 + (a - (-86)/30). Sort -1/4, h, n in increasing order. -1/4, n, h Suppose 0 = -g + 4, -191 = 4*i - 5*g + 29. Sort i, 2, 1, 0. i, 0, 1, 2 Let o be (8/(-6))/(-1)*(-21)/14. Suppose 11*n + 8 = 19*n. Sort n, 2, -3, o. -3, o, n, 2 Let h(m) = m**2 + 99*m + 561. Let t be h(-93). Put t, -5, 15, -3, 5 in decreasing order. 15, 5, t, -3, -5 Let r be ((-1)/3)/(53/(-6837)). Put 5, 1, 19, r, 4 in increasing order. 1, 4, 5, 19, r Let d be -1*2 - -2*1. Let x(l) = l**3 - 17*l**2 + 18*l - 2. Let b be x(16). Suppose -b = 4*y + 3*u, -5*y = 2*u - 21 + 55. Sort 4, d, -5, y. y, -5, d, 4 Let r be 42/112 + (-4 - -4)/1. Let l = -5.6 + 0.6. Let w = -0.3 - -0.1. Put l, w, r in descending order. r, w, l Let b be (-108)/198 + 162/176 + (-6)/16. Sort -0.1, -2/29, b, -2, -1.1 in increasing order. -2, -1.1, -0.1, -2/29, b Let m = -12258 + 12258.5. Sort m, -1/107, 1/5 in increasing order. -1/107, 1/5, m Let s = -12.71 - 0.29. Let p be (11/((-77)/(-718)))/2. Let w = p + -51. Sort w, -5, s in decreasing order. w, -5, s Suppose -5*u - 358*c + 360*c = 3034, 5*u - 5*c = -3025. Put 1, u, -5 in descending order. 1, -5, u Let l be (-1 + 2)/((-11)/33). Suppose -6*c = -11*c + 60. Suppose 0 = c*q - 9*q. Sort q, l, -28. -28, l, q Suppose -7 = -12*g + 5. Let h be 0 + -4 + 6/(g - -2). Sort 16, 3, 1, h in increasing order. h, 1, 3, 16 Let k = -4586 - -5290. Sort -2/9, -2/5, k in decreasing order. k, -2/9, -2/5 Let a = 3 + 13. Suppose 10*y - 264 = 2*y. Suppose -y*s + 9*s + 72 = 0. Put 2, a, s in descending order. a, s, 2 Let u = 1314149 + -1314153. Let f(y) = -y**3 - y**2 + 3*y - 4. Let i be f(-3). Let s(n) = 2*n**2 + 6*n. Let w be s(-4). Sort i, u, w in decreasing order. w, i, u Let t = 22 + -18. Suppose 0 = -7*p + 194 - 236. Sort 0, t, p, -4 in ascending order. p, -4, 0, t Let y = -1613/5670 + -1/810. Put 145, -5, y, -2 in decreasing order. 145, y, -2, -5 Suppose -37*w = 155 - 118. Sort 3, 769, w in decreasing order. 769, 3, w Let u be -44*(-2)/(-14) + -52 + 58. Put u, 56, 2, -3/5, -0.1 in descending order. 56, 2, -0.1, u, -3/5 Let a(l) = 16*l + 465. Let q be a(-29). Let c = 5 + -10. Put q, c, 4 in increasing order. c, q, 4 Let v = -134 + 147. Suppose 4*p - v = -1. Suppose -5 - 5 = -5*x. Put 0, -5, p, x in ascending order. -5, 0, x, p Let n = -24 - -43. Suppose 14616*i + 15 = 14601*i. Sort -3, i, 5, n. -3, i, 5, n Suppose -2*h + 84 + 66 = 0. Suppose -h = 15*q - 0*q. Let r = 1 + -4. Sort -2, 2, r, q in decreasing order. 2, -2, r, q Let j = -245.6 + 231.6. Sort -4/9, j, 0.05 in increasing order. j, -4/9, 0.05 Let x be (-3)/(-12)*(-1 - 43). Let y(d) = -d**3 - 12*d**2 - 11*d + 3. Let m be y(x). Put -5, 1, m, 11 in descending order. 11, m, 1, -5 Let l = 0 + -4. Suppose 0 = -3*j - 14*j. Let x be 20/5*(-1)/4. Sort j, 1, l, x in descending order. 1, j, x, l Let q be -11 + (-30 + 10)/4. Sort -9, -14, q, 0 in descending order. 0, -9, -14, q Suppose 39*x + 52 = 15*x + 11*x. Sort -0.02, 6, 0, x, 1/2 in ascending order. x, -0.02, 0, 1/2, 6 Let a be 2/(-4)*-1*(7 - 1). Let c be a + (-32)/(1 + -9). Put 4, c, 2 in ascending order. 2, 4, c Let v(k) = -k**3 + 64*k + 64. Let s be v(-1). Put -1, -6, 10, s, 5 in ascending order. -6, -1, s, 5, 10 Let i(r) = r**3 + 13*r**2 + 89*r + 285. Let s be i(-6). Sort 0.3, 2/9, 9, s, -0.5 in descending order. 9, s, 0.3, 2/9, -0.5 Let u = 654 + -1176. Sort 5, u, -5 in descending order. 5, -5, u Let w = -18 + 30. Let o = 14.4 - w. Let v = o + -8.4. Put v, -1/5, -5 in decreasing order. -1/5, -5, v Let d = -15850 - -15848. Put 4, 17, -5, d in descending order. 17, 4, d, -5 Let v = 2/407 + 14642/2035. Let c = v + -113/15. Let y = -6904 - -6905. Put y, c, 0.25 in descending order. y, 0.25, c Let q = 297 - 438. Let h = q - -144. Let y = 2.02 - 0.02. Sort h, -5, y. -5, y, h Suppose w + 0*w = 0. Let q(y) = 111*y + 7880. Let p be q(-71). Sort 13, p, w in decreasing order. 13, w, p Let h = 8 - 5. Let i be 6/8 + (-3)/(-12). Let v = 112 + -114. Put v, i, h in decreasing order. h, i, v Let i be -81 - (-3 + (-25)/(-10))*-8. Let j be i/(-51)*(-1 + -2). Put 2, -17, j in decreasing order. 2, j, -17 Let j(f) = -f**3 + 4*f**2 - 4*f - 1. Let y be j(3). Let l = -33171 + 33163. Sort l, -2, -5, y in ascending order. l, -5, y, -2 Suppose 2*a - 4*l = 472, 4*a - 376 = 3*l + 568. Let k = a + -943/4. Sort 0.2, k, -2/27 in descending order. k, 0.2, -2/27 Let n(i) = -68*i + 75. Let c be n(6). Let h = c + 335. Sort h, -19, -5 in ascending order. -19, -5, h Suppose 5*z + 4*t = 348 + 199, 2*z - 4*t - 230 = 0. Let i = z - 152. Put i, -5, 0, -1 in descending order. 0, -1, -5, i Let h = -1.6 + 1.36. Let d = -0.3 - h. Let k be ((-4)/6 + (-20)/(-12))/(4/8). Put k, d, -1, 4 in descending order. 4, k, d, -1 Let g = 5506 + -16516/3. Sort 7, 6, 2, g in decreasing order. 7, 6, 2, g Let y = 166 + -162. Let o(c) = 6*c - 26. Let h be o(y). Let r be (-2 - -1)*(-8)/2. Sort r, -7, h, 0. -7, h, 0, r Suppose -105*z = -154*z. Put 1, 4, -44, z in descending order. 4, 1, z, -44 Let u = 1661/70 + -243/10. Put 45, u, -1 in increasing order. -1, u, 45 Let x = -11 - -6. Let t(q) = q**2 + 133*q + 394. Let p be t(-3). Let j(c) = -17*c**3 + 3*c**2 + 2*c. Let o be j(-1). Sort o, p, x in decreasing order. o, p,
{ "pile_set_name": "DM Mathematics" }
- y - 10 What is the v'th term of -58, -56, -56, -58, -62, -68, -76? -v**2 + 5*v - 62 What is the w'th term of 5008, 5002, 4992, 4978, 4960, 4938? -2*w**2 + 5010 What is the x'th term of 290, 293, 308, 341, 398, 485, 608, 773? x**3 - 4*x + 293 What is the v'th term of -27, -73, -145, -243, -367, -517? -13*v**2 - 7*v - 7 What is the m'th term of 46, 197, 450, 805? 51*m**2 - 2*m - 3 What is the c'th term of 249, 312, 375, 438, 501, 564? 63*c + 186 What is the t'th term of 58, 64, 72, 82, 94? t**2 + 3*t + 54 What is the a'th term of 5, -9, -49, -127, -255? -2*a**3 - a**2 + 3*a + 5 What is the o'th term of 15198, 30397, 45596, 60795? 15199*o - 1 What is the g'th term of 23, -2, -75, -220, -461, -822, -1327, -2000? -4*g**3 + 3*g + 24 What is the q'th term of 16, -11, -76, -197, -392, -679, -1076, -1601? -3*q**3 - q**2 - 3*q + 23 What is the i'th term of 891, 1794, 2709, 3642, 4599, 5586, 6609, 7674? i**3 + 896*i - 6 What is the p'th term of -374, -351, -328? 23*p - 397 What is the q'th term of -578, -1154, -1730, -2306, -2882, -3458? -576*q - 2 What is the v'th term of 8, 54, 138, 266, 444, 678, 974? v**3 + 13*v**2 - 6 What is the q'th term of -326, -1299, -2912, -5159, -8034? q**3 - 326*q**2 - 2*q + 1 What is the i'th term of -1413, -1415, -1417, -1419? -2*i - 1411 What is the g'th term of -15, -31, -49, -69, -91, -115? -g**2 - 13*g - 1 What is the x'th term of -15, -29, -43, -57, -71, -85? -14*x - 1 What is the y'th term of -3, 130, 501, 1230, 2437, 4242, 6765, 10126? 20*y**3 - y**2 - 4*y - 18 What is the l'th term of 14, 20, 40, 80, 146, 244, 380? l**3 + l**2 - 4*l + 16 What is the h'th term of 57, 69, 87, 111, 141? 3*h**2 + 3*h + 51 What is the u'th term of -1, 12, 25, 38? 13*u - 14 What is the b'th term of 125, 245, 365, 485, 605, 725? 120*b + 5 What is the l'th term of 7861, 15722, 23571, 31402, 39209? -l**3 + 7868*l - 6 What is the t'th term of -388, -380, -372, -364, -356, -348? 8*t - 396 What is the w'th term of -73, -70, -65, -58, -49, -38? w**2 - 74 What is the w'th term of 418, 837, 1256, 1675? 419*w - 1 What is the j'th term of 20, 14, -30, -130, -304, -570, -946? -3*j**3 - j**2 + 18*j + 6 What is the a'th term of 389, 779, 1183, 1607, 2057, 2539, 3059? a**3 + a**2 + 380*a + 7 What is the t'th term of -28, -27, -26, -25, -24, -23? t - 29 What is the d'th term of 9, 7, -5, -33, -83, -161? -d**3 + d**2 + 2*d + 7 What is the o'th term of -1242, -1244, -1248, -1254, -1262, -1272, -1284? -o**2 + o - 1242 What is the c'th term of 13, 36, 59, 82, 105, 128? 23*c - 10 What is the r'th term of -7267, -7265, -7263, -7261, -7259? 2*r - 7269 What is the a'th term of -17, -32, -53, -80, -113, -152? -3*a**2 - 6*a - 8 What is the z'th term of -233, -465, -697, -929? -232*z - 1 What is the o'th term of 237, 464, 693, 924, 1157? o**2 + 224*o + 12 What is the z'th term of 136, 533, 1194, 2119? 132*z**2 + z + 3 What is the g'th term of -11, -21, -33, -47, -63, -81, -101? -g**2 - 7*g - 3 What is the y'th term of -8, 49, 172, 361, 616, 937, 1324? 33*y**2 - 42*y + 1 What is the c'th term of -1353, -1351, -1349? 2*c - 1355 What is the u'th term of 110, 111, 112, 113, 114? u + 109 What is the b'th term of -8, 15, 40, 67, 96, 127, 160? b**2 + 20*b - 29 What is the d'th term of 276, 560, 844, 1128? 284*d - 8 What is the y'th term of 30, 54, 78, 102? 24*y + 6 What is the o'th term of 1320, 1318, 1316, 1314? -2*o + 1322 What is the l'th term of 1429, 2856, 4283? 1427*l + 2 What is the b'th term of 7567, 7566, 7565, 7564? -b + 7568 What is the h'th term of 851, 1706, 2575, 3464, 4379? h**3 + h**2 + 845*h + 4 What is the a'th term of -60, -63, -66, -69, -72? -3*a - 57 What is the b'th term of -247, -993, -2235, -3973, -6207, -8937, -12163? -248*b**2 - 2*b + 3 What is the k'th term of -365, -404, -445, -488, -533? -k**2 - 36*k - 328 What is the b'th term of 131, 143, 143, 125, 83, 11, -97, -247? -b**3 + 19*b + 113 What is the c'th term of -4, -6, -16, -40, -84, -154? -c**3 + 2*c**2 - c - 4 What is the f'th term of -193, -111, 25, 215? 27*f**2 + f - 221 What is the s'th term of -14, -19, -34, -65, -118, -199, -314, -469? -s**3 + s**2 - s - 13 What is the u'th term of -58, -54, -50, -46, -42, -38? 4*u - 62 What is the p'th term of -73, -295, -661, -1171, -1825? -72*p**2 - 6*p + 5 What is the n'th term of -6522, -6516, -6498, -6462, -6402? n**3 - n - 6522 What is the p'th term of 50, 136, 280, 482, 742, 1060? 29*p**2 - p + 22 What is the t'th term of 4205, 4206, 4207, 4208, 4209? t + 4204 What is the y'th term of -190, -195, -212, -247, -306, -395, -520, -687? -y**3 + 2*y - 191 What is the q'th term of 248, 247, 246, 245? -q + 249 What is the v'th term of 35, 26, 17, 8? -9*v + 44 What is the k'th term of -322, -324, -326? -2*k - 320 What is the q'th term of -7213, -7216, -7221, -7228, -7237, -7248? -q**2 - 7212 What is the b'th term of 11, 26, 41, 56, 71? 15*b - 4 What is the m'th term of 184, 373, 562, 751? 189*m - 5 What is the c'th term of 43, 125, 207, 289, 371, 453? 82*c - 39 What is the b'th term of 368, 394, 422, 452? b**2 + 23*b + 344 What is the y'th term of -956, -955, -952, -947, -940, -931, -920? y**2 - 2*y - 955 What is the c'th term of 65, 116, 151, 170, 173? -8*c**2 + 75*c - 2 What is the g'th term of 2896, 2898, 2900, 2902, 2904? 2*g + 2894 What is the p'th term of -34, -42, -50? -8*p - 26 What is the i'th term of -189, -283, -379, -477, -577, -679? -i**2 - 91*i - 97 What is the z'th term of 25, 51, 77, 103, 129, 155? 26*z - 1 What is the b'th term of 8, 32, 94, 212, 404, 688, 1082, 1604? 3*b**3 + b**2 + 4 What is the h'th term of 41, 218, 673, 1544, 2969, 5086, 8033? 23*h**3 + h**2 + 13*h + 4 What is the a'th term of 116, 226, 336? 110*a + 6 What is the h'th term of 89, 90, 91, 92, 93? h + 88 What is the y'th term of -10, -58, -136, -250, -406, -610, -868? -y**3 - 9*y**2 - 14*y + 14 What is the k'th term of -269, -221, -173, -125? 48*k - 317 What is the f'th term of -4883, -9762, -14639, -19514? f**2 - 4882*f - 2 What is the n'th term of 2, -9, -40, -103, -210, -373? -2*n**3 + 2*n**2 - 3*n + 5 What is the h'th term of -75, -160, -259, -378, -523? -h**3 - h**2 - 75*h + 2 What is the g'th term of -69, -86, -125, -192, -293, -434, -621? -g**3 - 5*g**2 + 5*g - 68 What is the p'th term of -11, 100, 377, 904, 1765, 3044, 4825, 7192? 14*p**3 - p**2 + 16*p - 40 What is the v'th term of -77, -64, -35, 16, 95? v**3 + 2*v**2 - 80 What is the v'th term of 38, 25, -6, -61, -146? -v**3 - 3*v**2 + 3*v + 39 What is the u'th term of -20, -36, -38, -20, 24, 100? u**3 + u**2 - 26*u + 4 What is the z'th term of 8, -14, -28, -28, -8, 38, 116? z**3 - 2*z**2 - 23*z + 32 What is the z'th term of 471, 941, 1411? 470*z + 1 What is the k'th term of 255, 254, 239, 204, 143? -k**3 - k**2 + 9*k + 248 What is the l'th term of 115, 283, 461, 655, 871, 1115? l**3 - l**2 + 164*l - 49 What is the w'th term of 68, 60, 46, 26? -3*w**2 + w + 70 What is the c'th term of -65, -482, -1629, -3872, -7577, -13110, -20837, -31124? -61*c**3 + c**2 + 7*c - 12 What is the i'th term of -2, -41, -94, -149, -194, -217? 2*i**3 - 19*i**2 + 4*i + 11 What is the q'th term of -1, -2, 3, 20, 55? q**3 - 3*q**2 + q What is the r'th term of -84, -103, -138, -195, -280, -399, -558? -r**3 - 2*r**2 - 6*r - 75 What is the l'th term of -282, -561, -840, -1119? -279*l - 3 What is the y'th term of -246, -218, -190? 28*y - 274 What is the j'th term of -51, -45, -37, -27? j**2 + 3*j - 55 What is the a'th term of 19, 118, 383, 898, 1747, 3014? 14*a**3 - a**2 + 4*a + 2 What is the k'th term of 2332, 2331, 2330, 2329, 2328? -k + 2333 What is the t'th term of 2342, 2351, 2382, 2447, 2558, 2727? 2*t**3 - t**2 - 2*t + 2343 What is the l'th term of -38, -41, -46, -53? -l**2 - 37 What is the u'th term of 46, 92, 144, 208, 290, 396? u**3 - 3*u**2 + 48*u What is the c'th term of 26, 53, 98, 161, 242, 341? 9*c**2 + 17 What is the c'th term of 67, 86, 107, 130, 155, 182, 211? c**2 + 16*c + 50 What is the n'th term of 96, 206, 316? 110*n - 14 What is the h'th term of -51, -29, 13, 75? 10*h**2 - 8*h - 53 What is the r'th term of -82, -325, -734, -1315, -2074, -3017? -r**3 - 77*r**2 - 5*r + 1 What is the h'th term of -152, -353, -556, -761, -968? -h**2 - 198*h + 47 What is the z'th term of 1089, 1083, 1073, 1059? -2*z**2 + 1091 Wh
{ "pile_set_name": "DM Mathematics" }
3403812. 2, 85850953 What are the prime factors of 14809693? 14809693 List the prime factors of 172686746. 2, 59, 1463447 List the prime factors of 828673384. 2, 7, 11, 719, 1871 What are the prime factors of 77824105? 5, 31, 61, 8231 List the prime factors of 602547333. 3, 200849111 List the prime factors of 32251641. 3, 10750547 What are the prime factors of 86724372? 2, 3, 7, 1032433 List the prime factors of 17537670. 2, 3, 5, 194863 List the prime factors of 139449877. 7, 83, 240017 List the prime factors of 22467963. 3, 7, 31, 34513 What are the prime factors of 28745678? 2, 13, 1105603 List the prime factors of 3905106000. 2, 3, 5, 650851 What are the prime factors of 35530065? 3, 5, 789557 List the prime factors of 1632925217. 7, 11, 31, 684091 List the prime factors of 2163732720. 2, 3, 5, 9015553 What are the prime factors of 67584095? 5, 17, 46771 What are the prime factors of 438216423? 3, 59, 2475799 List the prime factors of 378852753. 3, 83, 1521497 List the prime factors of 2537113318. 2, 1268556659 List the prime factors of 166541014. 2, 389, 214063 What are the prime factors of 150302089? 7, 229, 93763 What are the prime factors of 406341? 3, 13, 23, 151 List the prime factors of 90069815. 5, 11, 1637633 List the prime factors of 264325938. 2, 3, 44054323 List the prime factors of 987855961. 19, 51992419 List the prime factors of 51291746. 2, 11, 2331443 What are the prime factors of 28578547? 17, 1681091 What are the prime factors of 703937? 13, 173, 313 What are the prime factors of 276038259? 3, 7, 13144679 What are the prime factors of 136558483? 136558483 List the prime factors of 510651127. 7, 31, 163, 14437 List the prime factors of 96956855. 5, 19391371 What are the prime factors of 40725710? 2, 5, 17, 41, 5843 List the prime factors of 1096747545. 3, 5, 19, 3848237 List the prime factors of 7274824. 2, 29, 31357 List the prime factors of 3430672971. 3, 11, 127, 818581 What are the prime factors of 1813163430? 2, 3, 5, 13, 4649137 What are the prime factors of 11908016? 2, 744251 List the prime factors of 74449116. 2, 3, 7, 295433 What are the prime factors of 160367060? 2, 5, 7, 1145479 What are the prime factors of 1091946507? 3, 363982169 What are the prime factors of 270778751? 263, 1029577 What are the prime factors of 2734654340? 2, 5, 11, 17, 731191 List the prime factors of 1107739860. 2, 3, 5, 18462331 List the prime factors of 41374022. 2, 17, 149, 8167 List the prime factors of 961436519. 2677, 359147 List the prime factors of 228460019. 228460019 List the prime factors of 23145516. 2, 3, 642931 What are the prime factors of 3148641177? 3, 11, 3433, 27793 List the prime factors of 2957823595. 5, 79, 503, 14887 List the prime factors of 85926998. 2, 47, 914117 List the prime factors of 60132529. 31, 269, 7211 What are the prime factors of 3727980468? 2, 3, 103555013 List the prime factors of 797168853. 3, 13, 6813409 List the prime factors of 3316901870. 2, 5, 1511, 219517 List the prime factors of 308068801. 308068801 List the prime factors of 317282283. 3, 35253587 List the prime factors of 84572397. 3, 7, 13, 34421 What are the prime factors of 232825412? 2, 23, 401, 6311 What are the prime factors of 538597625? 5, 4308781 What are the prime factors of 71605150? 2, 5, 1432103 What are the prime factors of 213259624? 2, 26657453 What are the prime factors of 488485328? 2, 103, 313, 947 What are the prime factors of 468844330? 2, 5, 46884433 What are the prime factors of 48193892? 2, 12048473 List the prime factors of 34718760. 2, 3, 5, 17, 31, 61 What are the prime factors of 1222348334? 2, 41, 14906687 What are the prime factors of 128108596? 2, 7, 11, 415937 What are the prime factors of 20844198? 2, 3, 1158011 What are the prime factors of 78607061? 13, 6046697 What are the prime factors of 24718733? 13, 409, 4649 List the prime factors of 161602447. 161602447 List the prime factors of 3037201114. 2, 1427, 1064191 List the prime factors of 64191479. 11, 2129, 2741 What are the prime factors of 59924251? 307, 195193 What are the prime factors of 855773373? 3, 7, 13, 1471, 2131 What are the prime factors of 2332598988? 2, 3, 197, 986717 List the prime factors of 1490445083. 67, 22245449 List the prime factors of 3185906933. 11, 101, 503, 5701 List the prime factors of 14179027. 14179027 List the prime factors of 2521309625. 5, 20170477 What are the prime factors of 38920057? 11, 3538187 What are the prime factors of 19598183? 11, 1781653 List the prime factors of 3650230. 2, 5, 29, 41, 307 What are the prime factors of 39653559? 3, 11, 269, 1489 List the prime factors of 104325870. 2, 3, 5, 11, 316139 What are the prime factors of 5836195911? 3, 7, 13, 3054001 List the prime factors of 301686856. 2, 41, 149, 6173 What are the prime factors of 1003235382? 2, 3, 17, 137, 2659 List the prime factors of 275112715. 5, 55022543 What are the prime factors of 85548219? 3, 28516073 What are the prime factors of 123285594? 2, 3, 20547599 List the prime factors of 635791474. 2, 271, 307, 3821 What are the prime factors of 2276093282? 2, 337, 3376993 List the prime factors of 2238902118. 2, 3, 2081, 59771 List the prime factors of 623967617. 7, 13, 979541 List the prime factors of 59755357. 17, 23, 67, 2281 List the prime factors of 444311389. 43, 10332823 List the prime factors of 96792778. 2, 29, 587, 2843 List the prime factors of 142946029. 193, 740653 What are the prime factors of 3341333? 17, 196549 What are the prime factors of 692680090? 2, 5, 139, 498331 What are the prime factors of 937848381? 3, 312616127 List the prime factors of 76686133. 17, 4510949 List the prime factors of 12287682. 2, 3, 11, 229, 271 What are the prime factors of 2013583112? 2, 251697889 List the prime factors of 36435714. 2, 3, 7, 123931 List the prime factors of 240879952. 2, 15054997 List the prime factors of 4105571584. 2, 16037389 What are the prime factors of 2874029833? 29, 99104477 What are the prime factors of 150833619? 3, 16759291 What are the prime factors of 490064129? 53, 149, 62057 What are the prime factors of 45226115? 5, 11, 822293 What are the prime factors of 170509257? 3, 4297, 4409 What are the prime factors of 302250997? 53, 1223, 4663 What are the prime factors of 81308330? 2, 5, 41, 198313 What are the prime factors of 1256916220? 2, 5, 7, 241, 37253 List the prime factors of 19549497. 3, 11, 41, 14449 What are the prime factors of 22241039? 19, 1170581 List the prime factors of 129306939. 3, 43102313 List the prime factors of 573619230. 2, 3, 5, 1571, 4057 What are the prime factors of 579811385? 5, 197, 588641 What are the prime factors of 212528190? 2, 3, 5, 7, 144577 What are the prime factors of 639769698? 2, 3, 11847587 What are the prime factors of 58805207? 58805207 List the prime factors of 103778678. 2, 229, 347, 653 List the prime factors of 442292827. 15461, 28607 List the prime factors of 450146606. 2, 7, 13, 277, 8929 What are the prime factors of 2621407386? 2, 3, 13, 179, 191, 983 What are the prime factors of 37144674? 2, 3, 7, 294799 What are the prime factors of 358503084? 2, 3, 1106491 List the prime factors of 415052931. 3, 163, 848779 What are the prime factors of 1210192849? 31, 1103, 35393 List the prime factors of 3157400631. 3, 7, 11, 617, 22153 List the prime factors of 7101103058. 2, 7, 507221647 What are the prime factors of 560843568? 2, 3, 31, 41879 What are the prime factors of 547652989? 13, 223, 188911 What are the prime factors of 570369050? 2, 5, 11407381 What are the prime factors of 1704444803? 17, 100261459 What are the prime factors of 126473235? 3, 5, 7, 1204507 What are the prime factors of 4835794132? 2, 13, 1451, 64091 What are the prime factors of 1716435858? 2, 3, 23, 12437941 What are the prime factors of 3977061? 3, 11, 19, 6343 What are the prime factors of 614973372? 2, 3, 13, 3942137 What are the prime factors of 162871717? 23, 7081379 What are the prime factors of 67898784? 2, 3, 707279 What are the prime factors of 86359189? 7, 12337027 What are the prime factors of 106849492? 2, 26712373 What are the prime factors of 2051772074? 2, 11, 283, 29959 List the prime factors of 239187989. 83, 2881783 List the prime factors of 318210251. 53, 6003967 List the
{ "pile_set_name": "DM Mathematics" }
n - 18 = -5*n for a. -1 Solve -2*t + 2*c = 4 - 0, -10 = 4*t - 5*c for t. 0 Solve -3*k = -k + v + 1, 0 = 3*k + 3*v + 9 for k. 2 Solve -5*j - 2 = -2*q - 0*q, 0 = -4*j - 5*q - 28 for j. -2 Solve 2*x + 2 = 4*s, 0*s - 2 = -x + s for x. 5 Solve -5*b = -5*y - 15, 2*y - b = -2*y for y. 1 Solve 15 = -2*v + i, 20 = -3*v + 4*i - 15 for v. -5 Solve 5*w + 4*x = 11, 27*w + 4 = 29*w + 2*x for w. 3 Solve 0 = -8*c + 5*c + 2*v + 2, 3*c = -2*v + 22 for c. 4 Solve 0 = -2*f, f + 12 = -3*o + 5*f for o. -4 Solve -5*b = -0*i + 4*i + 7, -3*b - 4*i = 9 for b. 1 Solve -4*g + 16 = -3*h - 8, 23 = g - 5*h for g. 3 Solve 5*a + 20 = 5*m, 2*a + a = m - 6 for m. 3 Solve 4*j = -i - 5, -60*j + 4*i = -55*j + 22 for j. -2 Solve -14 - 1 = 5*u - 5*f, 3*u + 7 = 2*f for u. -1 Solve -2*o = u + 6, 13 + 6 = -4*u - 3*o for u. -4 Solve 4*v + 12 = 2*o + 2*o, -3*o = 0 for v. -3 Solve 2 = -2*d - 2*k, -23*d + 18*d + 2*k = -2 for d. 0 Solve h = -2*r + 1, 9*r - 6*r - 18 = 4*h for h. -3 Solve 3*n - 8 = 4*i, 13*n = 2*i + 8*n - 10 for i. -5 Solve 4*l + a = -16, 3*l = 2*l - 3*a - 15 for l. -3 Solve 6*k - k + 3 = -4*u, 4*u - 15 = k for u. 3 Solve 0 = -b + 5*p - 5, -4*b = -3*b - 2*p + 2 for b. 0 Solve -6*q + 9*q + 20 = -4*r, 0 = -3*r - 6 for q. -4 Solve 5*b + 15 = r, 2*b - 4*r - 2 = -2*r for b. -4 Solve -3*m + 3*v + v - 5 = 0, 5*v - 10 = 0 for m. 1 Solve 0 = 3*m - 2*p - 11, -6*m - 11 = -11*m - 4*p for m. 3 Solve -20 = 2*w - 3*n - 41, 0 = 3*w - 2*n - 19 for w. 3 Solve 4*z - 5*c = 37 - 14, 5*c = 5*z - 25 for z. 2 Solve -c - 3 = -4*g, -g + 5*c - 18 = c for g. 2 Solve 4*s = r + 9, -6*s = -4*s - 2*r for s. 3 Solve -2*u = 5*o - 8 + 18, 0 = 2*u for o. -2 Solve -24*m + 3*h = -29*m + 11, h + 11 = 2*m for m. 4 Solve 4*d - y + 5 + 9 = 0, 4*y = 3*d + 17 for d. -3 Solve -q + 7 = -2*f, -f + 6 = -3*q + 2 for q. -3 Solve -3*t - 3 = -3*b, 7 - 10 = 3*b - 5*t for b. 4 Solve -2*h + 41 - 19 = -12*v, h = 5*v + 9 for h. -1 Solve 3*d + 7 = 2*q, q - 4 - 1 = 0 for d. 1 Solve 0 = 4*t + 3*b + 22, 5*b - 9*b + 4 = -3*t for t. -4 Solve 2*n = b - 10, -7*n = -3*n - 4*b + 20 for n. -5 Solve 0 = -3*m - 15, 22*m = -u + 21*m - 1 for u. 4 Solve 5*d + 2 = -2*t - t, 0 = -5*d - 2*t + 2 for d. 2 Solve -10 = -2*y + 5*m, -3*y = -m + 4*m + 27 for y. -5 Solve 0 = 2*k - h - 4*h - 22, -26 = -4*k + h for k. 6 Solve -5 = 2*z - d, d = 107 - 104 for z. -1 Solve -l = -2*w - 2, -4*w - 9*l + 5*l = 28 for w. -3 Solve 5*c = 0, 0*u - 2*u + 5*c + 18 = 7*u for u. 2 Solve 2*y - 6*p - 1 = -3*p, -3 = 5*y - 2*p for y. -1 Solve -5*j + 5*u + 76 = 36, 5*j + 4*u = -5 for j. 3 Solve 68*b - 5*x = 70*b + 23, 2*b = -4*x - 20 for b. -4 Solve 4*u + 16 = -4*f, 0 = -3*u + 17*f - 13*f + 16 for u. 0 Solve -5*k - 2*q = 29, 5*k - 5*q = -4*q - 23 for k. -5 Solve -x = 2*u + 8, 4*x = u - 49 + 62 for x. 2 Solve 5*f = -3*l - 4 - 9, -4*l = -5*f - 6 for l. -1 Solve -3*f = -5*b + 2, 23*f - 14 = b + 20*f for b. 4 Solve 5*o + 5 = 13*s - 11*s, 2*s + o - 11 = 0 for s. 5 Solve 5*n = -j + 2*j - 30, -5*j = -4*n - 45 for n. -5 Solve 3*l + 3 - 1 = m, -2*l + 3*m = 6 for l. 0 Solve -17 = -0*t + 4*t - d, 0 = 3*t + 4*d + 8 for t. -4 Solve 40 = 5*w, 0*o + 2*o + 20 = 3*w for o. 2 Solve 4*i - 2*s = -6*s - 4, 2*s = -2 for i. 0 Solve 0 = 5*l - 3*n - 4, -2*l = -14*n + 9*n + 6 for l. 2 Solve -3*l = -s - 2 - 1, -3*l + 3 = 0 for s. 0 Solve -i - 4*o + 2 = -2, 3*i - 5*o = -5 for i. 0 Solve -2*o - 4*k + 8 = -2, -k = o - 3 for o. 1 Solve 4*j = 7 - 19, 2*w = -2*j + 4 for w. 5 Solve 4*b = 2*p - 4, -2*b - 2 = 5*p - 3*p for b. -1 Solve 23 = 3*i - 5*s, -5*s = i - 35 + 54 for i. 1 Solve -5*r = 5*o - 5, -10*r = -5*o - 6*r + 23 for o. 3 Solve -m + r = 6, 0 = 4*m + r - 8 + 27 for m. -5 Solve 5*m + 3*h = 11, m - 4*h = -9 + 2 for m. 1 Solve -2*g + 3*k + 6 = 0, 1 = 4*k + 9 for g. 0 Solve -6 = -2*f - 2*d, d = -0*d for f. 3 Solve -37*n - y - 6 = -39*n, 4*y = -8 for n. 2 Solve -14 = -3*f + f + g, 3*g = -2*f - 2 for f. 5 Solve 0*a - 3*a = 3, 0 = 5*v + 4*a + 24 for v. -4 Solve 5*f + 19 = -3*d, -3*f - 20 = -5*d + 5 for f. -5 Solve -31*t = 5*h - 29*t + 20, h - t = -4 for h. -4 Solve 2*x - 2*c - 24 = -2*x, 4*x + 5*c = -4 for x. 4 Solve 5*h - 14 - 10 = 2*b, -b - 18 = -4*h for b. -2 Solve 0 = 3*o + f - 5 + 1, 4*o + f = 5 for o. 1 Solve -p - 9 = 5*r, -3*p + 292 = -5*r + 279 for p. 1 Solve -5*h = -88*y + 83*y, -3 = 2*h + y for h. -1 Solve 0 = n - 5*j + 2*j + 2, -10 = 5*n + 3*j for n. -2 Solve 4*a = 8*a - 2*t + 6, 17 = 2*a - 5*t for a. -4 Solve 5*g + 178*w - 39 = 170*w, -5*g = -5*w for g. 3 Solve 2*t + 5*u = 33, -5*t - 10*u = -9*u - 25 for t. 4 Solve 4*a = 5*j + 14 - 21, -25 = -5*j - 5*a for j. 3 Solve -12 = 4*b + 3*k, -k = 2*b + 4*k + 6 for b. -3 Solve 0*w + 2*w + 12 = 2*v, 4*v = 16 for w. -2 Solve -2*w = -3*y + 8*y - 22, -9 = -2*y - w for y. 4 Solve -3*m = -398*b + 399*b, 0 = 4*b + 3*m + 9 for b. -3 Solve 2*a = f - 8, -a - 3*f + 1 = 5 for a. -4 Solve 3*c + 3 = -f, 3*c + c - 5*f = -23 for c. -2 Solve -6*d - 4*s = -11*d - 29, -4*s = 5*d + 21 for d. -5 Solve 3*t + 2*b - 15 = 0, b - 5*b = -12 for t. 3 Solve 0 = -3*y - f + 9, -2*y + 9 + 10 = 5*f for y. 2 Solve i + 4*r = -i + 16, -5*i = r - 13 for i. 2 Solve g = 4*g + 3*r + 9, 10 = -3*g - 2*r for g. -4 Solve 4*d - 2*n - 20 = 0, -3*d + 17 = -2*n - 0 for d. 3 Solve -u - 11 = 3*h, 11*h + 2*u = 7*h - 16 for h. -3 Solve -12*h + 16*h = 4*b, 0 = 2*h - 5*b - 15 for h. -5 Solve l = 0, 5*l + 15 - 10 = m for m. 5 Solve -4*o = -g + 10, -5*g - 43 = -2*o - 39 for g. -2 Solve -z = 3*t - 4, 4*z + 3*t - 16 = -0*t for z. 4 Solve -2*c + 39 = -5*p + 68, c - 18 = -4*p for c. -2 Solve 4*d - 27 = 3*m, d + 5*m = -46 + 24 for d. 3 Solve -8 = -2*n + 4*x + 6, 8 = n - 3*x for n. 5 Solve j - 3*s - 12 = -4, 4*s = 3*j - 19 for j. 5 Solve 3*s + 15 = -4*h, 0 = -2*s + 4*h - 22 + 32 for s. -1 Solve -3*b - 21 = 3*f - 0*f, 0 = -5*b + 2*f - 14 for b. -4 Solve 0 = 4*a + 5*j - 0*j + 11, -7 = -4*a + j for a. 1 Solve -4*n = 6*p - 30, 3*n + 7*p - 6 = 8*p for n. 3 Solve 56 = -4*o - 3*z + 29, -3*z - 30 = 5*o for o. -3 Solve -2*c + 10 = 5*z, -8*z + 4 = -3*c - 6*z for c. 0 Solve 4*i = 2*j + 2, 8*j = 5*i + 3*j + 5 for i. 2 Solve -5 = 2*b - d, -4*d + 30 = 10 for b. 0 Solve 0 = -2*b + 4*i + 2 + 8, -2*b = 5*i - 1 for b. 3 Solve -b - 3 = 2*t, -2*b = 3*t + b + 9 for t. 0 Solve -5*g - 4*u = -19, 0*g - 4*g = -3*u - 9 for g. 3 Solve 0 = t - 3*u + 3, 5*t - 149 + 153 = 4*u for t. 0 Solve -7*u - 4 = -q - 3*u, 4*q = 5*u + 5 for q. 0 Solve -2*o = 4*p - 5*o - 11, 0 = -3*p + 2*o + 9 for p. 5 Solve -2*l = -4*l + 5*h, -3*l + 2*h = -11 for l. 5 Solve 8*i - 3*i = -3*p - 11, 2*p = 3*i + 18 for p. 3 Solve -8 = 3*i - t, -4*t - 20 = t for i. -4 Solve -7 = 4*z + u, 2*z + 0 = -u - 1 for z. -3 Solve -3*n = -98 + 95, -2*k - 7 = n for k. -4 Solve -f = -1, -5*y - 5*f + 0 = -10 for y. 1 Solve -4*f = f - y + 30, 0 = -5*f - 5*y for f. -5 Solve -2*c - 13 = 3*x, -c = -0*c + 3*x + 14 for c. 1 Solve 0 = -2*a + 5*p + 19, 0 = -4*a + 4*p - p + 3 for a. -3 Solve 4*g = 2*k - 18, k - 11 = 4*g + 6*k for g. -4 Solve 3*m + 16 = -4*l, 21*m - 16*m + 5*l + 20 = 0 for m. 0 Solve 3*c - 2*s = 2, -4*s = -3*c - 4 + 2 for c. 2 Solve 2*v - 48 = -38, 2*l = -5*v + 31 for l. 3 Solve 3*t - 2*z = 9, 2*t - 3*z = -4*z + 6 for t. 3 Solve 0*o = 5*o + n + 7, 4*o + 5*n - 7 = 0 for o. -2 Solve -2*t = -2*a - 0*t + 12, -3*t - 13 = -2*a for a. 5 Solve 4*m = 3*o - 13, 4*m - 3*o + o + 10 = 0 for m. -1 Solve 2*k + 2 = 0, -5*y - 2*k - 7 - 5 = 0 for y. -2 Solve -2*m - m - 10 = -4*l, 5*l = -5*m - 5 for l. 1 Solve -z + 4*y = -21, 3*z = 4*y + 15 + 8 for z. 1 Solve 4*z + 18 = d, -77*d + 75*d + 5*z = -24 for d. 2 Solve -i - 4*l + 3 = 0, -3*i - 3*l - 1 = i for i. -1 Solve 4*o = 21*w - 19*w + 6, -2*o = w - 5 for w. 1 Solve -4*k = 4*t + 12, 4*t - 34*k = -36*k - 4 for t. 1 Solve -4*k - 4 = -0, 6 = 5*l - k for l. 1 Solve 4*c + 5*x = -14, -24*x + 28*x = -4*c - 12 for c. -1 Solve i - 5*u - 19 = 0, 0 = -10*i + 11*i + 5*u + 11 for i. 4 Solve -2*b = g + 7, -11 = 5*g - 2*b + 6*b for g. 1 Solve 4*k + 25 = -4*o - 11, -4*k + 5*o = 0 for k. -5 Solve -5*s + 9*s = 3*d + 5, -2*d - 6 = -4*s for d. 1 Solve -3*n = 5*o - 24, 0 = -n - 3*o + 6 + 6 for n. 3 Solve 3*o - 130*b + 2 = -129*b, 0 = 5*o + 2*b + 18 for o. -2 Solve 15 = 5*x, -5 - 2 = -d - x for d. 4 Solve -3*y - 23 + 58 = 5*z, -11 = -3*y + z for y. 5 Solve -2 = x - 3*g, 0 = 167*x - 166*x + 5*g - 6 for x. 1 Solve -2 = 3*u + 4*n, 4 = 5*u - 20*n + 23*n for u. 2 Solve 3*y + 5*t = 21
{ "pile_set_name": "DM Mathematics" }
mplify h**7*h**19 assuming h is positive. h**26 Simplify (k*k*k**46)**(12/5) assuming k is positive. k**(576/5) Simplify (k/(k*k**(2/21)/k)*k**3)**(-32) assuming k is positive. k**(-2624/21) Simplify g**7*g**5 assuming g is positive. g**12 Simplify ((u*(u**(-4/3)/u)/u)/(u/(u/(u/(u/(u/(u*(u*u/u**(-1/4))/u))))*u)))**12 assuming u is positive. 1/u Simplify ((n/n**(-7)*n*n)/n*n)/n*(n**9/n)/n assuming n is positive. n**16 Simplify (((n/(n*n**(-1/4))*n)/n)**(-2/37))**(-5/6) assuming n is positive. n**(5/444) Simplify (v**(4/11)*v**(-3))/(v**7/(v/(v*v*v**(-1)*v))) assuming v is positive. v**(-117/11) Simplify v**(-22)*v**8 assuming v is positive. v**(-14) Simplify w**(-1)/w*w*w*w/(w*w/(w/(w**(-22)*w))) assuming w is positive. w**21 Simplify ((a**(1/3))**(-11))**(-45) assuming a is positive. a**165 Simplify (b/(b*b*b**(-1)*b*b))/b*b**(-2/15) assuming b is positive. b**(-47/15) Simplify (((k**(4/11)*k)/k)/k*k*k)/k**0*(k/(k/(k/k**(-5)*k)))/k**(-2/17) assuming k is positive. k**(1586/187) Simplify (c**(2/7)*c)**15/(c*c*c/c**(-1/3)*c)**20 assuming c is positive. c**(-1415/21) Simplify (s*s**15)/s**(-1/6) assuming s is positive. s**(97/6) Simplify (b**(-1)/b*b*b**(1/3))/(b*b**1*b)**(-1/37) assuming b is positive. b**(-65/111) Simplify ((t*t*t**(5/6)*t)/t*t**(-2/9))/((t/t**(6/7))/((t*t**(2/13)*t)/t)) assuming t is positive. t**(5933/1638) Simplify ((n/n**(2/13)*n*n)/n)**(-2/65) assuming n is positive. n**(-48/845) Simplify n/(n/(n*(n*n**(-6))/n))*n**(-2/13)*n assuming n is positive. n**(-54/13) Simplify ((y**3)**(-28))**(-2/23) assuming y is positive. y**(168/23) Simplify j**0*j*j*j*(j*j/(j*j*j*(j/((j/j**(-2/33))/j))/j)*j*j)/j assuming j is positive. j**(101/33) Simplify (t**(2/3)/(t*t**(-3)))**(1/6) assuming t is positive. t**(4/9) Simplify u*u**(2/23)*(u**(1/41)/u*u)/u assuming u is positive. u**(105/943) Simplify ((j*j/(j*j**2))**(2/11))**(-27) assuming j is positive. j**(54/11) Simplify (y**2*(y/(y*y**(-4)))/y)**(1/4) assuming y is positive. y**(5/4) Simplify ((f/f**(-12))/f*f*f*(f*f**(4/11)*f)/f)**(-28) assuming f is positive. f**(-4732/11) Simplify (o/(o/(o**(-1/3)*o)))**(-18)/((o*o/o**(-2/13)*o)/o*(o*(o/(o/(o**(-5)*o*o)))/o)/o) assuming o is positive. o**(-132/13) Simplify y**(-8/5)*y**(-16)/y assuming y is positive. y**(-93/5) Simplify (r/(r/(r/r**(-1/3))))**(-2/25) assuming r is positive. r**(-8/75) Simplify (v/(v*v**(-7)*v))/(v*v**(-3/4)) assuming v is positive. v**(23/4) Simplify (r*r**8)/r**7 assuming r is positive. r**2 Simplify (h**0)**37 assuming h is positive. 1 Simplify ((i*i**(19/5)*i)/i)/i*i**4 assuming i is positive. i**(39/5) Simplify (h**1*h)/(h*h/h**(-13)) assuming h is positive. h**(-13) Simplify l**(-2/69)/(l/(l**(17/4)*l*l)) assuming l is positive. l**(1441/276) Simplify (u**(-9))**(2/23) assuming u is positive. u**(-18/23) Simplify ((g*g**(-1)*g)/(g/g**9))**(2/63) assuming g is positive. g**(2/7) Simplify (q**(3/4))**(-12) assuming q is positive. q**(-9) Simplify (k/(k*k**0*k))/(k**(-5)/k*k)*((k*k**1)/k)**27 assuming k is positive. k**31 Simplify ((m**(1/10)/m)/((m*m**(6/19))/m*m))**39 assuming m is positive. m**(-16419/190) Simplify (n*n**(-1/3))**(2/61)/((n/(((n/(n/n**(-3)))/n)/n))/n**2) assuming n is positive. n**(-728/183) Simplify (v/v**(-1/2))**(-1) assuming v is positive. v**(-3/2) Simplify (g*g/g**7)**(-20) assuming g is positive. g**100 Simplify m**1/(m**(2/13)/m)*(m**0)**(1/37) assuming m is positive. m**(24/13) Simplify ((u*u*u**0*u)**(-50))**44 assuming u is positive. u**(-6600) Simplify h**(1/8)/h**(2/51) assuming h is positive. h**(35/408) Simplify (a*a**(-31))/a**(-2/23) assuming a is positive. a**(-688/23) Simplify y**(-1)/y**(-25) assuming y is positive. y**24 Simplify (i**(1/3))**(6/19)/(i/((i/(i*i**(-1)))/i))**(-16) assuming i is positive. i**(306/19) Simplify ((h/(h*h*h**(9/2)*h))/h)**25 assuming h is positive. h**(-375/2) Simplify (i**2)**42/(i*i/((i*i*i**2)/i))**(-41) assuming i is positive. i**43 Simplify k**(1/9)/k**(3/5) assuming k is positive. k**(-22/45) Simplify (d**(1/8)*d*(d**(-2/11)*d)/d)**(-15/2) assuming d is positive. d**(-1245/176) Simplify y*y*y/y**(-2/5)*y**(-2/7)*(y/y**(-4))/(y/(y/y**(-1/7))) assuming y is positive. y**(289/35) Simplify (l/l**8)/l**(-12) assuming l is positive. l**5 Simplify ((v/(v**5*v))/v**9)**(-22) assuming v is positive. v**308 Simplify (d/d**(-1))**19/(d**(-3/8)*d**(-3)/d) assuming d is positive. d**(339/8) Simplify a**(2/17)*a**18*a assuming a is positive. a**(325/17) Simplify (o/(o*o/(o/(o*o/(o/o**(-2/5))))*o)*o)**(2/5)*(o*o**(-2/5)/o)**4 assuming o is positive. o**(-46/25) Simplify (q*q**(2/5)*q)**(-7/3)/(q/(q/(q**3/q)))**(-31) assuming q is positive. q**(282/5) Simplify (f/(f*f*f**9))/f*f/(f*f**(-1/19)*f)*(f/f**(-2))**(-1/43) assuming f is positive. f**(-9818/817) Simplify z*z**(-5/4)*z**(-1/10)*(z**(-5)/z)/(z**(4/9)*z) assuming z is positive. z**(-1403/180) Simplify (f*f*f/(f*f/(f/(f*f*f/(f*f*f*((f*f*((f*f**(3/2)*f)/f*f)/f)/f*f)/f*f*f*f*f*f)*f))*f*f)*f*f)/(f**(1/47)/f) assuming f is positive. f**(985/94) Simplify r/((r*r**(-27))/r)*r**(-20/3) assuming r is positive. r**(64/3) Simplify (x**(-29))**(-28) assuming x is positive. x**812 Simplify (d**4/d)/(d/(d/(d**(-6/17)*d))) assuming d is positive. d**(40/17) Simplify (z/((z*z/(z/(z**(-3)*z)))/z*z*z))**5 assuming z is positive. z**5 Simplify (j**(-8)/j**(-1/7))/(j*j**1*j)**(-6/11) assuming j is positive. j**(-479/77) Simplify (d*d/d**(-2/5)*d)/d**0*(d*d**(-2))/(d*d*d/(d**(-7)/d)) assuming d is positive. d**(-43/5) Simplify (o*(o/((o*o/o**(-2/19))/o*o*o*o))/o)/o*o**8*(o/(o/(o/o**(-2/7))*o*o*o)*o*o)**5 assuming o is positive. o**(708/133) Simplify (u**0/u)**35*((u*u/u**(-4/7))/u)/(u*u**6*u) assuming u is positive. u**(-290/7) Simplify (w**(-7)/(w**(-9)*w))/(w**4*w**(-4/7)) assuming w is positive. w**(-17/7) Simplify ((((h/(h*h*(h*h**(1/9))/h))/h)/h)/((h*h**10*h)/h))**(2/93) assuming h is positive. h**(-254/837) Simplify (w**(-1/3))**(18/13)/(w**(-3/7)/((w/(w**(-6)*w))/w)) assuming w is positive. w**(452/91) Simplify (w*w**(-2))**(1/3)/((w/(w*w**(-5/4)/w)*w*w)/(w/(w*w/(w/(w/(w*w**4)))*w))) assuming w is positive. w**(-19/12) Simplify g*g*(g*g**1)/g*g*g**(-9) assuming g is positive. g**(-5) Simplify ((d/d**(2/13))**(-36))**(21/2) assuming d is positive. d**(-4158/13) Simplify ((c/(c/((c**4*c)/c)*c)*c)/(c*c**(-2/9)))/(c**1)**16 assuming c is positive. c**(-115/9) Simplify (f**(-5))**(-22) assuming f is positive. f**110 Simplify (k**3/k)/(k**(2/3)/k)*k**2/k**5 assuming k is positive. k**(-2/3) Simplify ((i*i**(-1/8))/((i/i**0)/i))**(12/17) assuming i is positive. i**(21/34) Simplify (s/s**(-1/9))/s**44 assuming s is positive. s**(-386/9) Simplify (f**3)**(-1/46) assuming f is positive. f**(-3/46) Simplify t*t*t**(-2/7)/t*t/t**(-13)*t assuming t is positive. t**(110/7) Simplify ((n/((n/n**(4/7))/n)*n)/n**(-1/11))**(2/35) assuming n is positive. n**(82/539) Simplify (s**(-5))**(-1/31) assuming s is positive. s**(5/31) Simplify j**5*j*j/j**(2/17)*(j/((j*j**5)/j))/j*j/j**(-1) assuming j is positive. j**(66/17) Simplify u**(1/16)*u*u*u*u*u**(-27) assuming u is positive. u**(-367/16) Simplify (c/(c*c*c**(-27)*c))**(6/25) assuming c is positive. c**6 Simplify (b*b**0)/(b/((b**(-2)/b)/b))*(b*b/b**(-1/3))**(-3) assuming b is positive. b**(-11) Simplify (q*q**(-2/15)*q)/q*q*((q/q**(5/3))/q)/q*q*q*q*(q**(1/6)*q)/(q/(q**(2/7)/q)) assuming q is positive. q**(347/210) Simplify o**(2/55)/o**15 assuming o is positive. o**(-823/55) Simplify g**(-6)/(g**1/g)*(g*g**(-3)*g)/(g**(1/9)*g) assuming g is positive. g**(-73/9) Simplify r**(-35)*r/(r**(-10/11)/r)*r assuming r is positive. r**(-342/11) Simplify ((w*w**(-4))/w**(4/3))/(w**(-2/7)/w*w*w*w**(3/4)*w*w) assuming w is positive. w**(-655/84) Simplify ((((w/w**(1/2))/w*w)/w)/w*w)**(-32)*w**(-2/9)/(w**(-1/3)*w) assuming w is positive. w**(136/9) Simplify (n*n/n**23*n)**(6/11) assuming n is positive. n**(-120/11) Simplify f/(f/(f*f**(-2/29)*f*f*f))*f/(f*f*f**31) assuming f is positive. f**(-814/29) Simplify (c**0)**44 assuming c is positive. 1 Simplify o**11*o*o*((o*o/o**(3/4))/o)/o assuming o is positive. o**(49/4) Simplify (k/(k/(k/(k*k**(1/2))))*k)**(1/14)/(k*k**(-2/3))**(5/13) assuming k is positive. k**(-101/1092) Simplify (z/(z/(z/(z*z/(z**15/z))))*z)/(z/(z*z**36*z)*z) assuming z is po
{ "pile_set_name": "DM Mathematics" }
letters picked without replacement from eeeeeeoeeeeeooe? 36/455 Two letters picked without replacement from zpzzzzzzqqfuuzvqzup. Give prob of picking 2 q. 1/57 Three letters picked without replacement from {x: 1, s: 1, e: 5, w: 2, z: 1, n: 5}. What is prob of picking 1 z and 2 e? 2/91 What is prob of picking 4 v when four letters picked without replacement from vvkkmvkvvvkygyk? 1/91 What is prob of picking 1 t and 1 n when two letters picked without replacement from {b: 9, n: 1, t: 1}? 1/55 Four letters picked without replacement from lfkkvkkpkff. What is prob of picking 1 f, 1 v, 1 p, and 1 l? 1/110 Three letters picked without replacement from tjtijttjiiikz. What is prob of picking 3 j? 1/286 What is prob of picking 2 d and 2 b when four letters picked without replacement from {d: 9, b: 7}? 27/65 Two letters picked without replacement from {k: 6, y: 4, u: 1, t: 5}. What is prob of picking 1 k and 1 u? 1/20 Four letters picked without replacement from arwapeqqrqep. What is prob of picking 2 p, 1 e, and 1 w? 2/495 Four letters picked without replacement from {t: 7, s: 5, x: 7}. What is prob of picking 3 t and 1 s? 175/3876 What is prob of picking 1 d, 1 p, and 2 b when four letters picked without replacement from {b: 9, p: 3, d: 7}? 63/323 Two letters picked without replacement from zzz. What is prob of picking 2 z? 1 Two letters picked without replacement from {v: 12, i: 1, u: 4, j: 1, n: 1, a: 1}. Give prob of picking 1 n and 1 u. 2/95 Two letters picked without replacement from {m: 5, f: 7, n: 1, b: 1}. What is prob of picking 2 f? 3/13 What is prob of picking 1 a and 1 s when two letters picked without replacement from {s: 1, a: 1, b: 1}? 1/3 Calculate prob of picking 2 u and 1 c when three letters picked without replacement from {i: 1, u: 3, c: 6, x: 2, m: 2, l: 1}. 18/455 What is prob of picking 1 i and 3 g when four letters picked without replacement from {i: 4, f: 1, g: 3, n: 2, r: 1, w: 1}? 4/495 Calculate prob of picking 1 l, 1 o, and 1 e when three letters picked without replacement from lleozjoeazoez. 9/143 What is prob of picking 3 f and 1 k when four letters picked without replacement from {k: 6, f: 4}? 4/35 What is prob of picking 1 g, 1 z, and 2 p when four letters picked without replacement from {z: 1, p: 3, g: 4}? 6/35 What is prob of picking 3 z when three letters picked without replacement from {z: 3, g: 4, u: 5}? 1/220 What is prob of picking 1 g and 1 j when two letters picked without replacement from mmmmmmxjjwgmwmmwmmm? 2/171 Calculate prob of picking 2 n when two letters picked without replacement from sqnsnsys. 1/28 Two letters picked without replacement from {g: 8, b: 1, f: 2, z: 2}. What is prob of picking 2 g? 14/39 Calculate prob of picking 1 a, 1 w, and 1 v when three letters picked without replacement from {a: 1, w: 6, p: 1, g: 6, v: 1}. 6/455 Two letters picked without replacement from yyvygyvgfyiyhhffyyyf. Give prob of picking 2 h. 1/190 Calculate prob of picking 1 p and 1 v when two letters picked without replacement from {v: 1, m: 3, g: 2, j: 1, p: 3, w: 1}. 3/55 Calculate prob of picking 3 r when three letters picked without replacement from {r: 4, z: 1, l: 1, w: 5}. 4/165 Three letters picked without replacement from {o: 7, u: 6}. What is prob of picking 2 o and 1 u? 63/143 Two letters picked without replacement from xxxrxxxxxqyixxxqxipp. What is prob of picking 1 r and 1 q? 1/95 What is prob of picking 1 z and 1 b when two letters picked without replacement from yxlwlwwbxlzxzyz? 1/35 What is prob of picking 2 m when two letters picked without replacement from {m: 6, a: 12}? 5/51 Two letters picked without replacement from fctmetttefteceet. What is prob of picking 1 c and 1 t? 1/10 Calculate prob of picking 1 w and 2 r when three letters picked without replacement from hwghwhhrgrhwwwhghww. 7/969 Two letters picked without replacement from ffoffffffffof. Give prob of picking 2 o. 1/78 Calculate prob of picking 1 d and 1 a when two letters picked without replacement from {c: 1, a: 1, d: 5, t: 1, g: 1, y: 5}. 5/91 What is prob of picking 1 l and 1 n when two letters picked without replacement from kkldsngl? 1/14 What is prob of picking 1 c and 1 s when two letters picked without replacement from {y: 1, c: 11, z: 1, s: 4, f: 2}? 44/171 Calculate prob of picking 1 h and 2 u when three letters picked without replacement from hhmmmmmuuumummum. 1/28 Three letters picked without replacement from {v: 2, s: 4, j: 6}. Give prob of picking 1 j and 2 s. 9/55 Three letters picked without replacement from {r: 4, t: 10}. Give prob of picking 2 t and 1 r. 45/91 Calculate prob of picking 4 j when four letters picked without replacement from ejejjjeejjjjjjjjjjjj. 364/969 Three letters picked without replacement from uuurumkkrrmmrmumnkr. What is prob of picking 2 m and 1 k? 10/323 What is prob of picking 1 u and 1 i when two letters picked without replacement from ucuui? 3/10 Calculate prob of picking 2 f when two letters picked without replacement from fffffffffffffffffj. 8/9 What is prob of picking 1 h, 2 g, and 1 y when four letters picked without replacement from ggkhggzghkgyh? 9/143 Three letters picked without replacement from {u: 5, l: 3}. Give prob of picking 3 u. 5/28 Three letters picked without replacement from ffffffdfd. Give prob of picking 1 d and 2 f. 1/2 What is prob of picking 1 i and 1 z when two letters picked without replacement from azia? 1/6 What is prob of picking 2 b and 1 s when three letters picked without replacement from {p: 1, m: 3, b: 2, s: 13}? 13/969 Two letters picked without replacement from wzkk. Give prob of picking 2 k. 1/6 Three letters picked without replacement from {m: 3, w: 3, v: 2, j: 10, h: 2}. Give prob of picking 1 j and 2 w. 1/38 Two letters picked without replacement from {y: 1, l: 2, u: 1}. Give prob of picking 1 l and 1 u. 1/3 Two letters picked without replacement from {x: 7, d: 5}. What is prob of picking 2 x? 7/22 Three letters picked without replacement from vvovvvvovvvo. What is prob of picking 3 o? 1/220 Three letters picked without replacement from {z: 4, i: 3, g: 1, a: 3}. Give prob of picking 1 z, 1 g, and 1 i. 4/55 Calculate prob of picking 1 s and 2 p when three letters picked without replacement from sppuspspu. 3/14 What is prob of picking 1 q and 3 s when four letters picked without replacement from ssssssssssssqssssss? 4/19 Calculate prob of picking 2 m when two letters picked without replacement from {y: 6, n: 2, z: 3, m: 3, c: 1}. 1/35 What is prob of picking 4 r when four letters picked without replacement from rrrr? 1 Two letters picked without replacement from zgdbhgcgcdcg. Give prob of picking 1 h and 1 z. 1/66 Four letters picked without replacement from rfxrxrxxxxgmxrx. Give prob of picking 3 r and 1 g. 4/1365 Calculate prob of picking 2 l when two letters picked without replacement from {l: 4, z: 2, h: 6, o: 3}. 2/35 Four letters picked without replacement from qhhqhqlzzalzqqlzzvq. Give prob of picking 1 h, 2 q, and 1 a. 15/1292 Four letters picked without replacement from {t: 9, o: 2}. Give prob of picking 4 t. 21/55 Three letters picked without replacement from nwhznewznhhwzwhhhe. What is prob of picking 1 e and 2 h? 5/136 What is prob of picking 1 h and 2 k when three letters picked without replacement from {d: 5, k: 7, p: 1, n: 2, h: 3, m: 2}? 21/380 Four letters picked without replacement from yyyyyeyyqyeqyyqqyqqq. What is prob of picking 2 e and 2 y? 11/969 Calculate prob of picking 3 w when three letters picked without replacement from wwwwwbwwbwwwwwwwww. 35/51 Two letters picked without replacement from {e: 2, j: 1, c: 2}. Give prob of picking 1 e and 1 c. 2/5 Three letters picked without replacement from ikiaikiiabia. Give prob of picking 1 b and 2 i. 3/44 Calculate prob of picking 3 b and 1 w when four letters picked without replacement from {w: 2, i: 12, b: 3}. 1/1190 Three letters picked without replacement from {d: 1, z: 6, c: 2, g: 1, v: 2}. Give prob of picking 2 z and 1 d. 3/44 Three letters picked without replacement from brjiboyy. Give prob of picking 1 o and 2 b. 1/56 Three letters picked without replacement from {u: 3, n: 2, f: 2, l: 1, m: 3, r: 3}. Give prob of picking 1 n, 1 l, and 1 f. 1/91 Two letters picked without replacemen
{ "pile_set_name": "DM Mathematics" }
-4*c + i*m + 0*m = -372, m - 174 = -2*c. Is c prime? True Suppose -4*f + 51 = 5*m, 3*f - 8*f = -4*m - 115. Is f composite? False Suppose -3*o = -f - 9, 1 = -5*o - 4*f - 1. Suppose -16 = -o*y - 4. Is (-1341)/y*4/(-6) prime? True Suppose -11 - 9 = 4*g. Is (g - -8)*118/6 a composite number? False Is (-8916)/(-20) - 2/(-10) composite? True Suppose -2*r - 280 = -7*r. Suppose 0 = 5*m - m + r. Let v = m - -37. Is v a composite number? False Suppose -3*x + x + 2 = 0. Suppose f + x = -1. Let i(h) = -2*h**3 + h**2 + 4*h + 3. Is i(f) a prime number? False Let u(m) = m**2 - 7*m - 4. Let s be u(6). Is 145/s*-2*13 prime? False Suppose -4*o + 662 + 1502 = 0. Suppose 5*l = -71 + o. Is l prime? False Let g(o) = o**3 - 5*o**2 + 10*o + 5. Is g(5) composite? True Is 4802/10 - 8/(-10) a prime number? False Suppose -62 + 487 = 5*a. Let g = -27 + a. Is g a composite number? True Let w(f) = 0*f**3 + 6*f**2 + 2*f**3 - 2 - 5*f - 3*f**3. Let n be w(5). Is (-9)/(-1) + (-1 - n) composite? True Suppose 0 = y - 0 + 2. Let q = 1 - y. Is q a prime number? True Is ((-6)/9)/(10/(-36555)) prime? True Suppose 2*z + 20 = -3*z, 0 = i - 5*z - 11. Is (-1011)/2*6/i composite? False Let v be (-4)/(-6) - (-35)/15. Suppose -f + v*z + z + 123 = 0, 0 = 4*z + 4. Is f a prime number? False Let s = 1 + 2. Suppose -2*y + 634 = 4*h, 4*y + 1 = s*y. Suppose -l = -0*l - h. Is l composite? True Suppose 0 = -4*z + 2 + 2, 0 = 2*a + z + 27. Let p(u) = -9*u - 6. Let t be p(5). Let l = a - t. Is l a prime number? True Let o(u) = -u + 6. Let x be o(6). Let z be x + 6 - 1 - 2. Suppose -z*w + 10 = 3*f + 1, 3*w - 5 = -4*f. Is w composite? False Suppose 0*o - 18*o = -16326. Is o a composite number? False Let y = 838 + -399. Is y composite? False Let v = 185 + -118. Is v a prime number? True Suppose -t + 2 = -1. Suppose -2*z - t*g = -310, 2*z - 2*g = 127 + 203. Is z composite? True Is 892/(-6)*(0 + 6 + -9) a composite number? True Let z(q) be the second derivative of q**5/40 - q**4/8 - q**3/3 + 2*q. Let l(s) be the second derivative of z(s). Is l(2) a composite number? False Let y(r) = r**2 - r - 2. Let n(i) = -4*i**2 - i. Let x be n(-1). Let j be y(x). Suppose 0*p + 2*p = 3*f - 115, -j = -f - 5*p. Is f a prime number? False Let x(v) = 90*v + 1. Let c be x(2). Let j = -88 + c. Is j a composite number? True Let m = 295 - -6. Is m prime? False Let q be 6/(-2)*(-6)/9. Is q/(-3) - (-56)/12 composite? True Let z = 46 - 25. Is z composite? True Let m = 88 - -499. Is m a composite number? False Suppose 3*n - 10 + 1 = 0. Suppose -n = 2*s - 3*s. Suppose s = -k + 7. Is k composite? True Let a = -27 + 14. Let u = 19 + a. Is u composite? True Let x = 1 + -8. Let f(c) = -c**3 - 6*c**2 + 6*c - 4. Let i be f(x). Suppose -2*a - 83 = -i*l + 30, 70 = 2*l + 4*a. Is l a composite number? False Let j(h) = 131*h**2 - 27*h + 5. Is j(-8) a composite number? True Let b be (836/(-10))/((-2)/(-20)). Let g = b + 1303. Is g composite? False Suppose -8*k + 20671 = 6087. Is k composite? False Let y be 2/6 + (-8)/(-3). Suppose 3*n - y = 3. Is n/(-4) + 54/4 prime? True Let q(u) = u**2 - 10. Let w be q(0). Is w/(-4)*(-8)/(-2) a composite number? True Is (-12)/18 - (-16340)/12 composite? False Let z(v) = 2*v - 5. Let m be z(4). Is (-1)/(m/669*-1) composite? False Let p = -20 + 13. Let s = p + -1. Is 1/(-2) + (-84)/s a prime number? False Suppose p = -4 + 198. Is p a prime number? False Suppose -3*m = -4*w - 19, 7*w - 5*m = 4*w - 6. Let i(p) = 7*p**2 + 7*p - 7. Is i(w) composite? True Let q be (-4)/(-6)*(-3765)/10. Let z = -132 - q. Is z a prime number? False Suppose 5*s - 20 = 5*i, -4*s + 20 = -2*i - i. Let j be 12/s*4/3. Suppose 0 = -0*c + j*c - 46. Is c prime? True Suppose 2*v - 273 = 5*s + 135, -204 = -v + 2*s. Suppose 3*f - v = -3*h, 0 = -4*h - 3*f + 133 + 136. Is h composite? True Let l be ((-26)/1)/2 - -1. Let v = l + 110. Let i = v + -59. Is i a prime number? False Suppose -3*y - 3*m - 162 = -3510, 0 = 5*y - 4*m - 5571. Is y a composite number? True Let n(b) = -3*b + 1. Suppose -2*m = -4*m - 2. Let x be n(m). Suppose 2*z - c - 49 = 0, 2*z - 30 = -x*c - 6. Is z composite? True Let h(n) = 3 - 4 - 1 + n + 24*n**2. Is h(-3) a prime number? True Suppose 18 = -3*h + g, -3 - 3 = h + 4*g. Let n(t) = -19*t - 5. Is n(h) composite? False Suppose 0*d + 5*d = 0. Suppose 0*z + 5*c + 525 = 3*z, c - 543 = -3*z. Suppose -4*w + 272 + z = d. Is w prime? True Let o(h) = -318*h - 13. Is o(-3) a prime number? True Let p(a) = -93*a + 13. Is p(-10) composite? True Suppose -3*r - 17 = -q, -r - 10 = r - 2*q. Is ((-2)/r)/(1/699) prime? True Suppose r - 292 + 29 = 0. Is r prime? True Suppose 0 = 21*a - 15*a - 16662. Is a prime? True Let c be -1 + 4 - 4/(-2). Suppose -5 = j, -j - j = -c*t + 125. Is t composite? False Let s(k) be the second derivative of -k**4/12 - 5*k**3/6 - k**2/2 - 2*k. Let a be s(-5). Is a - 9/(-3) - -35 composite? False Suppose 0 = 3*x - 4*u - 109, x - 4*u = -9*u + 68. Let z = 232 - 140. Let k = z - x. Is k composite? True Let f(m) = 0*m + 1 - 2*m + 16*m**2 + 3*m - 2*m. Is f(4) composite? True Suppose -3*y = -8*y - 810. Let x = y - -491. Is x a composite number? True Suppose u = -2*b + 231, 4*u + 3*b - 1122 + 178 = 0. Is u a prime number? True Let j(z) = -z**3 + 8*z**2 - 7*z + 3. Let s be j(7). Suppose -s*f + 550 = 2*f + 4*q, 545 = 5*f + 5*q. Is (f/(-4))/(5/(-10)) a prime number? False Suppose 4*r = 4*m - 24516, 0*m = -m - 4*r + 6119. Is m prime? False Let u(h) be the first derivative of 6*h**2 + 26*h + 7. Is u(14) composite? True Let i = 14 + -9. Suppose -i*s = c - 113, 0 = 3*c + 4*s - 128 - 189. Is c a composite number? False Let v = 110 - -68. Suppose 5*i - v = 3*i. Is i prime? True Let v(t) = -t**3 + t**2 + 2*t - 1. Let a be v(1). Is -329*(0 - a)/1 prime? False Is (-1)/(-3)*1227*1 prime? True Let d(z) = 4*z**2 + 5*z - 7. Let t(r) = 4*r**2 + 5*r - 6. Let f(v) = -2*d(v) + 3*t(v). Is f(3) prime? True Let j(w) = 33*w**3 + w**2 - w + 1. Is j(2) a composite number? True Let a be (-2 + 56/20)*-30. Is a/12*1262/(-4) a prime number? True Suppose 2*q = q - 3, -4*q + 908 = -4*l. Let s = l - -336. Suppose 3*g - s = -r, 4*g = 3*r - 0*g - 253. Is r a composite number? True Suppose 0 = -5*w - 5*t - 15, t + 29 = 2*w - 4*t. Suppose 0 = -2*m + 4 + w. Suppose 0*q - 257 = -4*o - q, -m*o + 210 = -5*q. Is o a composite number? True Let d = 12 + -4. Suppose x + 0*x = 4*c - 14, 0 = 4*x + d. Is (-1)/((-1)/c) - 0 a composite number? False Let h be (-54)/(-8) - 1/(-4). Let c(q) = 2*q - 5*q**2 - q**3 - 4*q + 14*q**2 - h. Is c(6) a composite number? False Let y(u) = -u**3 + 2*u**3 - 4*u - u + 4*u. Let m be y(1). Suppose 4*c - 92 = -m*c. Is c prime? True Suppose 0 = -4*l + 348 + 268. Suppose -2*h - 142 = -2*q, -7*q + 5*h = -5*q - l. Is q a prime number? True Let s(v) = 2*v - 5. Let b(x) = -x. Let q(m) = 3*b(m) + s(m). Let t be q(-6). Is 39*t - (-7 + 9) a composite number? False Suppose a - 2*a = -127. Is a a composite number? False Let a = 10 - 16. Let b(l) = -l**2 - 9*l + 7. Let m be b(a). Suppose 41 + m = 2*r. Is r prime? False Let z = -14 + 21. Let j(n) = 11*n + 9*n**3 - 7 + 6*n**3 - 11*n**2 - 13*n**3. Is j(z) composite? True Suppose 4*t = 2*w + 5*t + 19, 6 = -w + 3*t. Is (-3)/w + (-1072)/(-6) composite? False Let m(a) = -29*a**3 + 2*a**2 - 5*a - 3. Is m(-3) a composite number? True Let s be (-86)/(-6) - (-4)/6. Suppose -2*k = -k + s. Is ((-245)/k)/(2/6) prime? False Let n be (-3)/(-15) + (-38)/(-10). Suppose n*q = -r + 209 + 152, 0 = 4*q + 12. Is r a prime number? True Suppose 0 = -a + 79 - 0. Is a a composite number? False Suppose -92 = -d - d. Suppose -d = 2*u - 4*u. Is u a prime number? True Let b = 7 + -14. Let t be 2*-1 - (5 + b). Suppose t = 3*p + 3*g + 15 - 78, -4*p + 89 = -g. Is p a composite number? True Suppose 0*v = 3*o - 2*v - 709, -4*o = 2*v - 922. Is o composite? False Suppose 4*k - 2*l - 630 = -4*l, 5*l - 15 = 0. Suppose -h + 225 = -k. Is h a prime number? False Let h be (15/(-2))/(15/40). Let v = h - -47. Suppose -4*g = 2*p - 318, -p + 3*g + 107 + v = 0. Is p prime? True Suppose 2*b + 41340 = 5*g - 6593, 3*g + 5*b - 28766 = 0. Is g composite? False Suppose 2*p = 3*v - 755 + 1935, 4*v + 1772 = 3*p. Suppose u = 5*u - p. Is u a composite number? False Let l = -26 - -18. Is (-530)/l + 6/8 a prime number? True Is (4 - 46657)/(0 - 3) a composite numb
{ "pile_set_name": "DM Mathematics" }
9 assuming s is positive. s**(-3933/14) Simplify ((l**(-2/11)*l*(l**(-7)/l)/l)**(-36))**(-23/3) assuming l is positive. l**(-24840/11) Simplify j*j**(-11)*j**(-3/7)*(((j/j**(2/43))/j*j)/j)**(33/4) assuming j is positive. j**(-6509/602) Simplify i**(-3/16)*i*i*i**25*i**(-1/14)/i*i**(-9)/i assuming i is positive. i**(1763/112) Simplify (h**(1/3)/h**(3/2))/(h**(-1/2)*h*h**(-17)) assuming h is positive. h**(46/3) Simplify (x*x*x**16*x**(-9)/x)/(x**(-2/11)/((x/x**7)/x*x)) assuming x is positive. x**(24/11) Simplify (g**(-2/47)*g)/g**(-1/8)*g**(-11)/(g*((g*g**(-3/4))/g)/g) assuming g is positive. g**(-3447/376) Simplify (u**(-9)/u)**(1/5)*u/(u**10/u)*u**(-2/21) assuming u is positive. u**(-212/21) Simplify (((j**(-1/27)/j)/j)/j*j**3)**(-16/3) assuming j is positive. j**(16/81) Simplify n**(-4)/((n/(n**(2/65)*n)*n)/n*n)*(n**(-18)*n*n)/(n*(n*n/(n*n*n/((n/(n/n**(-19)))/n*n)))/n) assuming n is positive. n**(-63/65) Simplify (w**(-13)/((w/(w/w**(-7/4)))/w))/(w**(-4)*((w/(w/(w/(w/(w/(w*w**(2/53)*w*w*w))))))/w)/w*w) assuming w is positive. w**(-469/212) Simplify (t*t**9*t)/t**(2/17)*t**12/(t*t**(-2/11)) assuming t is positive. t**(4126/187) Simplify (((g**11/g)/(g*g*g*g/g**(-3)))/(g/(g**(-3)/g)*g)**8)**13 assuming g is positive. g**(-585) Simplify (h*h/((((h*(h*h**(-1))/h)/h)/h)/h)*h*h)**(-2/25)*(h/h**(-17))/(h*h**(-13)*h*h) assuming h is positive. h**(686/25) Simplify (((f/(f*f**(-2))*f*f)**32)**(-43))**(-25) assuming f is positive. f**137600 Simplify ((s/s**(-11))/(s*s*s**(2/3)*s))/(s**(2/3))**(-21) assuming s is positive. s**(67/3) Simplify (m*m**9/m)/m*(m/(m/m**12*m))/m*(m/(m*m**1*m)*m)/((m*m**9)/m) assuming m is positive. m**8 Simplify ((g**(-1))**(-5/11)/(g**(2/5))**30)**(-4/17) assuming g is positive. g**(508/187) Simplify (i*i**(1/7))**(2/103)/(i**(2/13))**42 assuming i is positive. i**(-60356/9373) Simplify (d**0)**(-2/63)*(d*d**(-1/13))/d*d/d**(-22) assuming d is positive. d**(298/13) Simplify l*(l/l**(-4/3))/l*l*((l/(l/(l**(2/29)*l)*l))/l)/l*l/l**11*l*l*l/(l/(l/((l**(-14)/l)/l)))*l assuming l is positive. l**(992/87) Simplify (t*(t*t**11)/t*t**(-2/5))/(t/(t/(t**(-14)/t)))**(1/29) assuming t is positive. t**(1757/145) Simplify (p**(-14)*p**28)/(p/(p*p**(10/9))*p**(-22)/p) assuming p is positive. p**(343/9) Simplify ((j**(2/7)*j**(-2))/((j/j**(-2/15))/((j/(j/((j*j**2)/j)*j))/j)))**(-11) assuming j is positive. j**(3289/105) Simplify (((s/s**(-1))/s)/((s/((s/((s*s/(s/(s*(s/(((s**(-2/5)*s)/s*s)/s*s*s)*s)/s*s*s*s)*s))/s))/s))/s))**(-6/35) assuming s is positive. s**(6/25) Simplify ((d*d**(-1/3))/d)/d*((d*d**(-1/4)/d)/d)/d*(d/((d*d**2)/d)*d)**(-16) assuming d is positive. d**(-43/12) Simplify c**(-11)*c*c**(-11)*c**(4/3)*c*c**(-2) assuming c is positive. c**(-62/3) Simplify (t/(t*t**(-1/6)/t))**(-7)*(t**19/t)/t**13 assuming t is positive. t**(-19/6) Simplify r*r/r**(-31)*r*r*(r*r**(-30))/r*r*r/r**25*r*r**(1/3) assuming r is positive. r**(-50/3) Simplify (c**(14/5)*c**(-1/7)*c)/(c**(5/3)/c**1) assuming c is positive. c**(314/105) Simplify (m**(2/9))**(-29)*((m*m/(m*m*m*m/m**(-2/37)))/m)/m**5 assuming m is positive. m**(-4828/333) Simplify ((q/(q*q*q*q**4))/q**(-6))**(10/19) assuming q is positive. 1 Simplify ((b/(b/(b*b*b/(b*b/((b/((b*b**2*b*b)/b))/b)))))**3*(((b*b*b/(b*b**(-2/21)))/b)/b)/((((b**(7/2)/b)/b)/b)/b))**(1/42) assuming b is positive. b**(-353/1764) Simplify (b/b**(2/11)*((b**(-3/4)/b)/b)/b)/(((b/b**(3/4))/b)/(b*b**(-2/5)*b)) assuming b is positive. b**(-32/55) Simplify (u*(u**3/u)/u*u)/((u**(4/5)*u)/u*u*u)*u**(-12)/(u/(u/((u/(u*u**5))/u)*u*u)) assuming u is positive. u**(-19/5) Simplify ((p/((p*p**(3/7)*p)/p))/p)**(-39)/(p*p**5)**(-8/9) assuming p is positive. p**(1282/21) Simplify (u**(-1/5)/u*u)/u*u/(u*u**(-2/7))*(u/(u/(u*u*u*(u/(u*u**(-14/3)*u))/u)))/(u*u/(u**(-15)*u*u)) assuming u is positive. u**(-1076/105) Simplify (i/i**1*i/((i/(i/(i*i/i**(-2/7)*i)))/i))/(i**11/i*i*i**(-4)*i) assuming i is positive. i**(-65/7) Simplify (w*w**(-1)/w*w*w*w*w*w**13*w*w*w)/((w**1/w)/(w*w**(7/2)*w)) assuming w is positive. w**(49/2) Simplify (l*(l/((l*l/l**(-2)*l)/l))/l*l**(-2/21))/(l**4/(l*l**(11/4)/l)) assuming l is positive. l**(-365/84) Simplify ((p/(p**0/p))**(-15/7)*(p**1)**(-2/9))**27 assuming p is positive. p**(-852/7) Simplify f**(-1/7)/f*f/(f/f**(10/11))*(((f*(f*f*f**5*f*f)/f)/f)/f)**(33/4) assuming f is positive. f**(17715/308) Simplify ((i**6*i)/i*i*i)**(1/26)*(i*i**(3/14)*i)/(i/i**(-2/103)) assuming i is positive. i**(28167/18746) Simplify ((t/t**(-2/21)*t)/(t**(9/5)/t))/((t*t**(-19))/(t*t**3*t)) assuming t is positive. t**(2551/105) Simplify ((n**(-1/6)*n**(-4))/(n**(1/9)*n/n**(1/2)))**(-14/5) assuming n is positive. n**(602/45) Simplify (v*(v**5/v)/v*v*v*v**(1/8)*(v*v/v**(-1/4))/(v*v*(v*v**11/v*v*v)/v*v))**40 assuming v is positive. v**(-265) Simplify (t*t**(1/4))**39/((t*t**(4/7))/(t*t**0/t)) assuming t is positive. t**(1321/28) Simplify (t**(2/5))**43*(t**3)**(14/3) assuming t is positive. t**(156/5) Simplify ((z*z**(1/6)*z*(z*z*z**(-3)/z)/z)/(z**(-6)/z**(-5/2)))**(-16/9) assuming z is positive. z**(-128/27) Simplify n**(5/2)/(n*n**(-4/5)/n)*(n*n**24)/(n*n**(1/19)/n) assuming n is positive. n**(5367/190) Simplify ((g*g**(-10))/g**(-2/11))**(-2/71) assuming g is positive. g**(194/781) Simplify (q*q*q/q**(-2))**(5/9)/(q*q**(-2))**(-25) assuming q is positive. q**(-200/9) Simplify ((a*((a**(-3/4)*a)/a)/a)/(((a/(a/((a/a**(-9))/a)))/a*a)/a)*a**(-8/5)*a**(-4))**12 assuming a is positive. a**(-861/5) Simplify ((((z**(-3/2)*z*z)/z)/z)/z)/z**(7/6)*(z/((z*z**9)/z))/(z/((z/(z/(z/z**7)))/z)) assuming z is positive. z**(-59/3) Simplify ((p**(1/4)*p)**(-3)/(p**0)**(-18/5))**15 assuming p is positive. p**(-225/4) Simplify (m**(3/5)*m/(m*m**(2/9))*m/m**(-2/23)*m**(-3))**(-7) assuming m is positive. m**(11123/1035) Simplify (g**(-19))**(4/5)/((g/(g/(g**12*g)))/g**(4/9)) assuming g is positive. g**(-1249/45) Simplify d**(-17)/(d/(d*d**(-1/6)/d))*((d/d**(-24))/d)/d**(-7/9) assuming d is positive. d**(119/18) Simplify ((q*q**(4/5)*q**(3/5))**21)**(7/4) assuming q is positive. q**(441/5) Simplify (u**(2/9)/u*u**5*u**(-8)/u*u/u**3)**(-1/6) assuming u is positive. u**(61/54) Simplify (f**(-23)/(f*f**(-8/5)*f))/((f*f/((f**(-5)/f*f)/f))/(f*f**(-11)/f)) assuming f is positive. f**(-212/5) Simplify ((k*k**(4/3))/(k*k**(2/9)))/(k**(2/9)/k)**23 assuming k is positive. k**19 Simplify (d**(-1/13)*d*d)**(5/2)*((d**(-6)/d)/d)/(d**(-18)/d) assuming d is positive. d**(411/26) Simplify ((l/(l*l**(2/15)*l))/l*l**(5/7)/l*(l**(3/5)/l*l)**(5/4))**(-22) assuming l is positive. l**(7711/210) Simplify (j*j/(j**(-4)*j)*j**(-3/2)*j*(j*j**(-12)/j)/j*j**(8/5))**36 assuming j is positive. j**(-1242/5) Simplify ((((m*m**(2/3))/m)/m**(-9))/(m**(-10)/(m**(-3/8)/m)))**(-22) assuming m is positive. m**(-4829/12) Simplify (u**(-26)*u**2)**32 assuming u is positive. u**(-768) Simplify ((u/(u*u/u**(-3)*u*u))/u)/u*u*u**26*u*(u/((u*u/(u/(((u**(-3/8)*u*u)/u)/u)))/u)*u)/u**(-22) assuming u is positive. u**(355/8) Simplify ((a*a**(-3/10)*a)/(a/a**4*a*a))/((a/(a**(-15)/a)*a*a)/a**(3/10)) assuming a is positive. a**(-16) Simplify (((u*u*u/(u*u/(u/u**4)*u))/u*u)/u)**17*(u**(-2/9))**(-46) assuming u is positive. u**(-520/9) Simplify (r*r**15)/r*r*r**30*r*(r**(-4/7)/r)**6 assuming r is positive. r**(263/7) Simplify (r**(-1/6)/r**(-1/3))/(((r/(r**(-5)*r)*r)/r)/(r*r**(2/41)*r)) assuming r is positive. r**(-685/246) Simplify g*g*g*g**(-12)*(g**(1/14)*g)/g*((g/g**(-2/51))/g*g)/g**(5/4) assuming g is positive. g**(-13051/1428) Simplify ((u/(u/u**(-3/2)))/u*u**(2/21))/((u/(u/(u/u**(-8/3))))/u**(-2/45)) assuming u is positive. u**(-3853/630) Simplify (b**3*b)**(-2/83)/((b*b*b**(-4/5))/(b/b**(-1/11))) assuming b is positive. b**(-938/4565) Simplify (u/u**(-1/2)*u)**(2/15)*(u**(-8))**(1/5) assuming u is positive. u**(-19/15) Simplify ((a/a**8)/(((a/a**(-37))/a)/a*a))**(-1/86) assuming a is positive. a**(22/43) Simplify (m**(-4)/m)**(-26)*(((m/m**(-7/4))/m)/m)/m*m*m**(-2/9) assuming m is positive. m**(4699/36) Simplify (s/s**(-22))**11/(s**(-20)*s)**(-2/55) assuming s is positive. s**(13877/55) Simplify (g/((g/(g*g**(-2/9)))/g)*g/((g/g**(1/2)*g)/g)*g*(g/(g*g**(3/4)))/(g/(g/g**(2/11))))**(-1/53) assuming g is positive. g**(-929/20988) Simplify (w**(3/8)/w**(-15))/(w**16/(w*w**14*w)) assuming w is positive. w*
{ "pile_set_name": "DM Mathematics" }
3 Suppose -188 = 4*l - 5*l. List the prime factors of l. 2, 47 Suppose -5*g - 9 = 2*t - 359, 4*t - 672 = 4*g. What are the prime factors of t? 2, 5, 17 Let p be (-3)/(-6)*-2*-13. Let h = 1 + p. List the prime factors of h. 2, 7 Let r be (51/(-9))/(3/(-9)). Let z = r - 3. List the prime factors of z. 2, 7 Suppose 5*n = 3*n + 8. Suppose 3*z - 108 = 3*o, n*z + 0*o + 3*o = 123. List the prime factors of z. 3, 11 Let x(p) = -p**3 + 4*p**2 + 2. Let o be x(3). Let h = 20 - o. What are the prime factors of 6/h + 50/6? 3 Let r(w) = 70*w**2 + w + 2. List the prime factors of r(-1). 71 Suppose -2*c = 3*l - 7, -2*c + 3*c = -5*l + 21. Suppose 3*a - 2*a - l = 0, -v = -2*a - 9. List the prime factors of v. 19 Let d(s) = -s**3 - 5*s**2 - 3*s + 1. Let w be d(-4). Let z = 8 + w. What are the prime factors of z? 5 Let m be -1*2/6*-12. List the prime factors of ((-12)/8*m)/(-1). 2, 3 Suppose 0*t - 93 = -t. List the prime factors of t. 3, 31 Suppose -2*k = -5 - 7. Let j be 4/k - 20/3. Let m = -4 - j. What are the prime factors of m? 2 Suppose 5*h - 32 = 3*h. List the prime factors of h. 2 Let u(r) = r**2 + 6*r + 3. Let y be u(-6). Suppose -3*d = 2*a - 6 + 71, -y*d - 77 = 5*a. Let z = -11 - d. What are the prime factors of z? 2 Let p(x) = 5*x + 14. Let d(a) = 14*a + 42. Let l(s) = 4*d(s) - 11*p(s). List the prime factors of l(8). 2, 11 Let h(b) = -b - 11. Let s be h(-6). Let t = -8 + 6. Let n = t - s. List the prime factors of n. 3 Suppose -2*b = 5*f + 15, 2*b - 5*b - 75 = -3*f. Let y = 34 + b. What are the prime factors of y? 2, 7 Suppose -q = 4*i - 174, 0 = i - 6*q + 2*q - 52. Suppose -2*c = -6 - i. List the prime factors of c. 5 Let m(g) = g - 3. List the prime factors of m(5). 2 Let b be (0 + 0 + 4)/1. Suppose 41 - 5 = b*h. List the prime factors of h. 3 Suppose 6*w - 48 = 2*w. Suppose 0 = -j + 2*g + 14, -6*g + 2*g + w = 3*j. Let o = j + -6. List the prime factors of o. 2 Let b = 0 + 5. Let q(d) = -d**3 + 5*d**2 + 3*d - 2. What are the prime factors of q(b)? 13 Let q(b) = -43*b + 3. Let n be q(-4). Suppose -p + 6*p - n = 3*a, 4*p - 2*a - 142 = 0. Suppose p = 4*f - 26. What are the prime factors of f? 2 Suppose 3*a = a + 12. Suppose a*x + d = 2*x + 68, d = 3*x - 51. What are the prime factors of x? 17 Let m(p) = 4*p**2 - 17*p - 58. What are the prime factors of m(-8)? 2, 167 Suppose 2*l = -4*y - 26, 0*l - 4*y - 14 = -2*l. Let m = -18 - l. Let h = m + 34. List the prime factors of h. 19 Let f(p) be the third derivative of p**6/240 - p**5/40 + p**4/8 - p**2. Let z(h) be the second derivative of f(h). What are the prime factors of z(3)? 2, 3 Suppose 2*g = -3*g + 30. What are the prime factors of g? 2, 3 Let v be (-1)/2*52/1. Let o = -13 - v. List the prime factors of o. 13 Suppose 1344 = 3*f + 5*f. List the prime factors of f. 2, 3, 7 List the prime factors of -4 + 2 - 164/(-2). 2, 5 Let s = 5 - 2. Suppose 5*n = -3*d + d + 62, 5*n - s*d - 57 = 0. List the prime factors of n. 2, 3 What are the prime factors of 28/(-21)*(2 - 20)? 2, 3 Let b = -219 - -362. What are the prime factors of b? 11, 13 Let z be ((-279)/18)/((-2)/(-24)). What are the prime factors of ((-5)/10)/(3/z)? 31 Let d = -3 - -5. Suppose 12 = -d*m + 6*m. List the prime factors of m. 3 Let w(g) = 13*g + 9. What are the prime factors of w(9)? 2, 3, 7 Let f = -133 - -199. List the prime factors of f. 2, 3, 11 Let b(o) be the first derivative of o**3/3 - 3*o**2/2 + 8*o + 1. List the prime factors of b(7). 2, 3 Suppose -2*i = 3*i + 20. What are the prime factors of (-16)/(i*(-3)/(-6))? 2 Let d = -5 - -47. What are the prime factors of d? 2, 3, 7 Suppose 0 = -3*x + 4*h + 12, 5*x - 5*h = -0*h + 20. Suppose 5*z - x*z = 15. What are the prime factors of z? 3, 5 Let r = -173 - -255. What are the prime factors of r? 2, 41 Suppose 4*d = 2 + 6. Let c(l) = 10*l - 2. List the prime factors of c(d). 2, 3 Suppose 464 = 3*z + 4*g, 2*z - 336 = -0*g + 4*g. List the prime factors of z. 2, 5 Suppose b = 9 - 1. Let i = b - 5. Let s(j) = j + 3. List the prime factors of s(i). 2, 3 Let a be 4 + -1 - 7/1. Let y = -29 + a. Let n = 46 + y. What are the prime factors of n? 13 Let r(f) = -f + 3. Let a be r(3). Suppose 2 = m, a = y + y + 5*m - 18. Suppose y*s = -5*z + 18, -3*z + 0*z + 6 = 0. What are the prime factors of s? 2 Let u(m) = 6*m - 6. Let f be u(4). Let q(i) = f*i + 8 - 8. List the prime factors of q(1). 2, 3 Let w be (40/6)/(6/(-36)). What are the prime factors of (24/(-10))/(6/w)? 2 Let h(m) = m**3 + 14*m**2 - 7*m - 23. List the prime factors of h(-14). 3, 5 Let w(g) = -58*g - 55. What are the prime factors of w(-7)? 3, 13 Suppose 0 = 2*q + 3*q, -3*q = 4*s - 232. What are the prime factors of s? 2, 29 Let m(f) = -f**2 + 9*f + 2. Let u(b) = -4*b - 1. Let j(g) = -4*m(g) - 9*u(g). What are the prime factors of j(-1)? 5 Suppose -4*w - 3*v = -70, 3*w + v - 52 = -v. Let a = w - 4. Let m = a - 5. What are the prime factors of m? 7 Let u be (1 - 2)*(-4 - 2). Suppose 3*c = -5*m + 54, u*c - 80 = c - 5*m. Suppose 0 = 4*v - 41 + c. List the prime factors of v. 7 Suppose 0 = -a + 1 - 8. Let g(d) = -d**3 - 6*d**2 + 8*d + 10. Let x be g(a). What are the prime factors of (-2 - 4)*x/(-2)? 3 Let w be ((-2)/(-1))/2*-1. Let d(x) be the first derivative of -x**4 + x**3/3 + x**2/2 + 18. What are the prime factors of d(w)? 2 Let j = -18 + 63. What are the prime factors of j? 3, 5 Let u(o) = -6*o - 2. What are the prime factors of u(-6)? 2, 17 Suppose 0 = -4*z + 2*z. Let f = 4 + z. List the prime factors of f. 2 Let u(k) = 3 + 7*k**2 - 3 - 2 - k**3 + 7*k - k**2. Let b be u(7). What are the prime factors of b/6 - 80/(-6)? 13 Suppose 0 = -5*j + 3*v + 227, j + j = -4*v + 96. List the prime factors of j. 2, 23 Suppose 4*t = -0*t. Let w(a) = 4*a**2 - a - 1. Let x be w(1). Suppose t = x*b + b - 33. List the prime factors of b. 11 List the prime factors of (-1 - 22*-11 - 3) + 1. 239 Let a = -86 + 204. What are the prime factors of a? 2, 59 What are the prime factors of -3 + (336/(-10))/((-6)/20)? 109 Let v(q) = -6*q**2 + 2*q + 2. Let w be v(2). Let i be (w/15)/((-3)/(-10)). List the prime factors of 33/6 + 2/i. 5 Let r(i) = 5*i**2 - 2*i - 1. Let w be r(-2). Let s = 28 - w. List the prime factors of s. 5 Suppose 95 = 3*h - 76. What are the prime factors of h? 3, 19 Let a be 2/(-3)*-3 - 1. Let s = -8 + 7. What are the prime factors of s - 12/((-3)/a)? 3 Let d be -12 + (-6)/(3 - 0). List the prime factors of ((-18)/(-4))/((-7)/d). 3 Suppose 2*n - 68 - 24 = 0. List the prime factors of n. 2, 23 Let b(l) = 2*l**2 - 5*l + 3. List the prime factors of b(6). 3, 5 Let g = 15 - 14. What are the prime factors of (g + 1*-25)*-1? 2, 3 Let n = 66 + -33. List the prime factors of n. 3, 11 Let d be 4/(-6) + (-6)/(-9). Let k = -10 + d. Let s(z) = -z**2 - 12*z - 15. List the prime factors of s(k). 5 Suppose -2*f - 1 = -53. List the prime factors of f. 2, 13 Suppose 0 = -2*y - 2*s - 0*s + 56, -3*y - 4*s = -83. What are the prime factors of y? 29 Let p(z) = 6*z**2 + 5*z - 24. Let l(n) = 5*n**2 + 4*n - 24. Let i(m) = -5*l(m) + 4*p(m). What are the prime factors of i(0)? 2, 3 Suppose 4 = f + 4*v + 2, 4*f + 2*v = 8. Suppose -2*l = b - f, b = 5*l + 13 + 24. List the prime factors of b. 2, 3 Let c(z) = -z**3 - 11*z**2 + 4*z - 8. Let f be c(-14). List the prime factors of f/16 - 6/8. 2 Suppose -9 = -3*u - 3. Suppose 3*p + 5*c + u = 50, -5*p + c + 52 = 0. What are the prime factors of p? 11 Let t be (-30)/40 - (-351)/4. Suppose -18*q = -15*q - t. List the prime factors of q. 29 List the prime factors of (-241)/(-2) + ((-10)/4)/5. 2, 3, 5 Suppose -4*p - 5*v = -40, -2*v - 7 = -0*p - 3*p. Suppose p*q = 7*q - 10. Let l(g) = -g**3 + 6*g**2 - g - 1. What are the prime factors of l(q)? 19 Suppose -5 = -5*i - w, -i + 5*i - 2*w = 18. Suppose 3*g = -5*a + 19, -i*a - a = -2*g. Suppose -a*y + 15 - 3 = 0. What are the prime factors of y? 2, 3 Let d(r) = -3*r - 5*r + 7*r - 8. Let x be d(-10). Suppose 11 = -2*k - 5*o, x*o + 3 = o. List the prime factors of k. 2 Let i(b) = 27*b**2 - 6*b + 3. Let u be i(5). List the prime factors of (1/(-3))/((-8)/u). 3 Suppose x + x - 8 = -2*m, 24 = 5*m + x. Let h = 5 - m. Suppose h = 3*k - 8 - 13. List the prime factors of k. 7 What are the prime factors of (2*1)/(23/230)? 2, 5 Suppose -w + 0*i = -4*i - 49, 4*w - 179 = -i. What are the prime factors of
{ "pile_set_name": "DM Mathematics" }
e 452 - (-1 + 6 - 1). What is the highest common factor of v and 7? 7 Suppose 0 = 3*a - 4*r - 144, -3*a + 144 = r + r. Let f = a + -6. What is the greatest common factor of f and 12? 6 Suppose -3*s - 2*o = o, 4*o = 5*s - 18. Suppose v + 4*l = 320, -s*v - 2*l + 320 = -v. Calculate the highest common divisor of v and 40. 40 Suppose -3536 = -32*l - 944. Suppose r = 1, 5*r = -4*v + v + 86. Calculate the highest common factor of v and l. 27 Suppose -6*z + 51 + 213 = 0. Suppose -3*f + 745 = -575. What is the greatest common divisor of f and z? 44 Let u = 64 - -6. Calculate the highest common factor of 28 and u. 14 Let f = 9 - 10. Suppose 6 = j - 5. Let y be -3 + j + f - -2. What is the greatest common factor of 72 and y? 9 Let p(b) = -b**2 + 25*b - 54. Let f be p(21). What is the greatest common factor of 20 and f? 10 Let v(d) = 2*d**2 + 16*d - 6. Suppose 3*l = n + 35, 4*n - 8*n + 3 = -l. Let b be v(l). What is the highest common factor of b and 54? 54 Let b(a) = -3*a - 62. Let t be b(-23). Calculate the greatest common divisor of t and 112. 7 Let n = 740 + -737. Let m(c) = c**2 - 2. Let k be m(2). What is the greatest common factor of n and k? 1 Let r = 297 + 162. What is the greatest common divisor of r and 3? 3 Let r(f) be the first derivative of 6 + 1/2*f**2 - 1/4*f**4 - 2*f + 7/3*f**3. Let d be r(7). What is the greatest common factor of 20 and d? 5 Let o be (-6)/(-27)*3*6. Let n be (-57)/2 + 2/o. Let r = 61 + n. What is the greatest common factor of 3 and r? 3 Let s(o) = 3*o - 31. Let q be s(11). Suppose 2*n = -4*f + 162, -q*n - 3*f = -f - 156. What is the highest common factor of 50 and n? 25 Let p = -697 + 747. What is the greatest common factor of p and 20? 10 Suppose -38*h = -52*h + 2184. Calculate the highest common divisor of 104 and h. 52 Let c = 555 + -519. What is the highest common factor of 204 and c? 12 Suppose -105 = 3*o + 4*d - 390, 0 = 3*o + 2*d - 279. Calculate the highest common factor of 104 and o. 13 Suppose l = 104 - 260. Let h = 256 + l. Calculate the highest common divisor of 40 and h. 20 Let w(n) = 545*n - 16. Let o be w(1). Calculate the highest common divisor of o and 23. 23 Let z(b) = -b**2 - 4*b + 1. Let q be z(-3). Let l(p) = 8*p - 10. Let h be l(q). What is the greatest common divisor of 11 and h? 11 Let m(d) = -4*d + 1. Let u be m(-11). Calculate the highest common divisor of 30 and u. 15 Let o = -165 + 207. What is the greatest common factor of o and 112? 14 Let w(d) = d**2 + 3*d + 10. Let r be w(3). What is the greatest common divisor of 12 and r? 4 Suppose 0 = -0*b - 4*b - 60. Let r be b/12*-2*4. What is the highest common divisor of 90 and r? 10 Suppose -5*f + 259 = -2*h - 38, 77 = f + 4*h. What is the highest common divisor of 183 and f? 61 Suppose -o = 3*c - 5, 4*c + o = 7*c + 5. Let p be 19 - -14 - c/1. What is the greatest common factor of 11 and p? 11 Let c be -9*(20/70 - (-446)/(-42)). What is the greatest common factor of 18 and c? 3 Let n = 3681 - 2332. What is the highest common divisor of n and 19? 19 Let q(t) = -2*t**2 + 85*t - 100. Let b be q(41). Calculate the highest common divisor of b and 8. 1 Suppose 5*h + 0*h - q = 355, -3*q = h - 55. Let i = -68 + 72. Suppose -p = -i - 24. Calculate the greatest common divisor of p and h. 14 Let l = 705 + -700. Calculate the greatest common factor of 245 and l. 5 Suppose -41*p = -2715 - 11307. Calculate the greatest common divisor of 38 and p. 38 Let n = -37 - -37. Let f(r) = 2*r + 92. Let p be f(n). What is the highest common factor of p and 230? 46 Let o be (18/8)/(11055/1840 - 6). Calculate the highest common divisor of o and 36. 12 Let g be -3*(0 - 3/9). Let l = g + 1. Let f(h) = 20*h. Let t be f(l). What is the greatest common factor of 60 and t? 20 Let s = -429 - -772. Calculate the highest common divisor of s and 7. 7 Let g(c) = -c - 11. Let z be g(-5). Let s be ((-80)/z)/(5/(-15)). Let q = 0 - s. What is the greatest common divisor of 8 and q? 8 Suppose -45 = 2*b - 5*b. Let d(w) = 6*w**2 - 2*w - 2. Let p be d(-1). Calculate the highest common divisor of b and p. 3 Let r = -376 + 194. Let z = 73 - r. Calculate the highest common divisor of 102 and z. 51 Let u(l) = l**2. Let r be u(-2). Suppose r*o - 136 = -3*a, -a = o + 2*a - 43. Let m = o - 13. What is the greatest common divisor of 45 and m? 9 Suppose 89*z - 7128 = 8*z. Calculate the highest common factor of 88 and z. 88 Let n = 3 + -2. Let l(q) = q**3 + 7*q**2 + 14*q + 24. Let c be l(-5). Calculate the highest common divisor of c and n. 1 Let p = 574 + -430. Calculate the highest common divisor of p and 30. 6 Suppose 0 = -4*w + z + 259, -3*z + 369 = 6*w + 2*z. Calculate the highest common factor of 104 and w. 8 Suppose -2*k + 3720 = 2*z, 5*k - 2964 = -3*z + 2618. Calculate the highest common divisor of z and 11. 11 Let f(v) = v**3 - 4*v**2 + 4*v + 5. Let w be 3/(12/5)*4. Let b be f(w). Let a be 1030/b - 2/(-5). What is the highest common factor of a and 14? 7 Suppose -9081 = -11*y - 1458. What is the highest common divisor of y and 63? 63 Suppose 66 - 76 = -5*z. Let q be (z/(-4))/((-16)/192). Calculate the greatest common divisor of q and 24. 6 Let b = 446 + -17. What is the greatest common divisor of b and 33? 33 Let a = 226 - 224. Let p be ((-15)/a)/(0 + 24/(-32)). Suppose 0 = 2*f - 1 - 7. What is the greatest common divisor of p and f? 2 Suppose 6*l - 153 = 3291. What is the greatest common divisor of l and 28? 14 Let r = 1464 + -1200. Calculate the highest common factor of 66 and r. 66 Let z(p) = -p**2 - 9*p - 6. Let r be z(-6). Let y(t) = t**2 - 31*t - 264. Let i be y(-8). Calculate the greatest common divisor of r and i. 12 Let u(b) = 11*b**2 - b + 2. Let l = -6 - -4. Let w be u(l). Suppose 2*s + 53 - 65 = 0. What is the highest common factor of w and s? 6 Let l = 440 + -312. Let k be -4*4/l + 2114/16. Let r = 35 + -23. What is the greatest common divisor of r and k? 12 Let v = -291 - -624. Let s = v - 165. What is the greatest common factor of 24 and s? 24 Let g be 3 - (9 + (9 - 28)). Calculate the greatest common divisor of g and 13. 13 Suppose -2*t - 5*r = -123, 5*t - 142 = 4*r + 215. Let x = t - 55. What is the greatest common factor of 42 and x? 14 Let j be 2/(-12) + 9729/54. Calculate the highest common factor of 80 and j. 20 Suppose 4*v = 12, 3*v - 2 = 5*o - v. Suppose 0 = -3*d - o*r + 121, -4*r = 4*d - 2*r - 164. Calculate the highest common factor of d and 43. 43 Let c(q) = 8*q**3 - q**2 + q + 112. Let o be c(0). Calculate the greatest common factor of 256 and o. 16 Let u(b) = 12*b - 9. Let n be u(2). Let j be (2/(-4))/(2/(-12)). Calculate the highest common factor of j and n. 3 Let l be (12/(-7))/(1/(-7)). Suppose 5*j - 47 = -l. Calculate the greatest common divisor of j and 112. 7 Suppose -8*k = -80 - 1592. What is the greatest common factor of k and 55? 11 Let x(f) = -28*f**2 + f. Let j be x(1). Let t be (0 - 4)/(36/j). Suppose -3*r + 4*p = r - 92, -3*p = t*r - 69. What is the greatest common factor of 184 and r? 23 Suppose -3*w + 2*g - 996 = -0*w, -5*w - 1656 = -2*g. Let y be (14/(-35))/(2/w). What is the highest common factor of y and 99? 33 Let c(j) = 217*j + 1308. Let g be c(-6). Let i(k) = -2*k**3 - 1. Let o be i(-2). Calculate the greatest common factor of g and o. 3 Suppose 1329 = m + 5*v, -4*m - m = -v - 6723. What is the greatest common factor of m and 42? 42 Let j = 611 - 587. Calculate the highest common divisor of j and 876. 12 Let m(v) = -4*v**3 + v**2 + v + 2. Let a be m(-1). Let k = 20 + 22. Calculate the greatest common divisor of a and k. 6 Suppose 4*u - y - 1655 = 0, -41*y = 3*u - 46*y - 1220. What is the highest common divisor of 166 and u? 83 Let k = 284 + -252. Suppose -2*j = -j - 24. Let r be -3*2*j/(-3). Calculate the highest common divisor of k and r. 16 Suppose -24*n + 1050 = 18*n. Calculate the greatest common factor of n and 50. 25 Suppose -t = 3*b - 53, b = -5*t - 2*b + 277. What is the highest common factor of t and 182? 14 Let g(w) = -26*w - 73. Let h be g(-5). What is the greatest common factor of 76 and h? 19 Let c = 114 - 86. What is the greatest common factor of c and 196? 28 Suppose -4*c - 5*g + 84 = -g, 81 = 4*c + 3*g. What is the greatest common factor of c and 30? 6 Suppose 10 = 7*a - 2*a. Suppose 6 = -y + a*g, -4*y - 2*g - 18 + 4 = 0. Le
{ "pile_set_name": "DM Mathematics" }
0. Factor -3/2*k + n + 1/2*k**2. (k - 2)*(k - 1)/2 Let b(r) be the first derivative of -r**4/18 + 62*r**3/27 - 112*r**2/9 + 24*r - 2440. Let b(i) = 0. Calculate i. 2, 27 Let j = -102 - -111. Let q(n) = 9*n**3 + 6*n**2 - 36*n - 24. Let o(u) = -18*u**3 - 12*u**2 + 72*u + 48. Let v(k) = j*q(k) + 4*o(k). Factor v(g). 3*(g - 2)*(g + 2)*(3*g + 2) Suppose 2 = 25*h - 23. Let p be h + -2 + (-14)/((-42)/9). Factor 1/3*y + 0 + 1/6*y**p. y*(y + 2)/6 Let y(n) be the third derivative of n**5/60 + 23*n**4/3 + 182*n**3/3 - 756*n**2. Factor y(h). (h + 2)*(h + 182) Let p(o) be the first derivative of -63*o**5/25 - 12*o**4/5 + 4*o**3/3 + 8*o**2/5 - 2915. Factor p(b). -b*(3*b + 2)**2*(7*b - 4)/5 Let s(p) = 3*p**5 + 6*p**4 + p**2 - 1. Let g(j) = -j**5 - 48*j**4 + 40*j**3 + 1407*j**2 + 3648*j + 2721. Let q(r) = g(r) + s(r). Factor q(y). 2*(y - 17)*(y - 10)*(y + 2)**3 Suppose 2*u + 5*w + 5 = -2*u, u - 2*w = 2. Let l be ((-21)/6)/(-7)*u - -2. Factor -22*b - 8*b + 125 - 2*b**l - 20*b + 7*b**2. 5*(b - 5)**2 Suppose 7*v - 752 + 738 = 0. Let p = -7 - -9. Find d such that -2*d**2 + 7*d**2 - 4*d**2 + d**p - v = 0. -1, 1 Let u(h) be the first derivative of 1/8*h**4 - 2/3*h**3 - 3*h + 75 - 11/4*h**2. Solve u(z) = 0 for z. -1, 6 Determine s, given that 4*s**4 + 9*s - 514824 - 9*s**3 + 3*s**2 - s**4 + 514818 = 0. -1, 1, 2 Solve -8 - 6*j**3 - 7*j**3 + 18*j**2 + 16*j - 2*j**5 - 40*j**2 - j**3 + 20*j**2 + 10*j**4 = 0 for j. -1, 1, 2 Let o = 3005/249 - -149/249. Determine k, given that -361/3 - 1/3*k**2 - o*k = 0. -19 Let h(k) be the second derivative of -k**4/12 - 79*k**3/6 - 39*k**2 - 2*k - 208. Factor h(j). -(j + 1)*(j + 78) Suppose -2*s + 1026 = -4*w, -s + 5*s - 2030 = -3*w. Let c = 509 - s. Solve -8/15*x**4 + 2/5*x**5 - 2/15*x - 4/15*x**3 + 8/15*x**2 + c = 0 for x. -1, 0, 1/3, 1 Solve -720/7*y - 717/7 - 3/7*y**2 = 0 for y. -239, -1 Suppose -69 + 216 + 207 = -34*n + 152*n. Suppose 6*l - l = 0. Suppose -2/3*j**2 + l - 1/3*j**n - 1/3*j = 0. What is j? -1, 0 Let b(y) = 9*y + 97. Let t be b(-10). Suppose 2 - 5*a**4 + 2 + 4*a + t*a**2 + 7*a**2 - 5 - 8 - 4*a**3 = 0. Calculate a. -9/5, -1, 1 Let k(y) be the second derivative of 5*y**4/36 + 5270*y**3/9 + 2777290*y**2/3 + 208*y - 7. What is s in k(s) = 0? -1054 Let u(n) be the second derivative of n**5/10 - 6*n**4 - 415*n**3/3 + 450*n**2 + 25*n + 11. Factor u(v). 2*(v - 45)*(v - 1)*(v + 10) Let f(x) be the third derivative of -1/72*x**4 - 24 + 0*x**3 - 1/1260*x**7 + 1/120*x**5 + 3*x**2 + 0*x + 0*x**6. What is b in f(b) = 0? -2, 0, 1 Let d be (-6)/(-15) + ((-23)/(-5) - 1). Suppose -5*o - 3*u + 423 = -d*u, 0 = -2*u + 4. Suppose -165*t**2 + t + 9*t + o*t**2 + 85*t**2 + 5 = 0. What is t? -1 Let f(p) be the second derivative of -2/3*p**3 + 0 - 1/8*p**4 + 4*p + 1/60*p**5 + 5*p**2. Let v(c) be the first derivative of f(c). Factor v(k). (k - 4)*(k + 1) Let n(m) = m**3 - 5*m**2 - 32. Let y be n(6). Let z be (8/y - -3) + (-9)/3. Factor -2*q - 1009*q**5 - 10*q**2 - 6*q + z*q**2 + 6*q**3 + 1007*q**5 + 4*q**4. -2*q*(q - 2)**2*(q + 1)**2 Let x(y) be the second derivative of 3*y**6/70 - 3*y**5/5 + 73*y**4/28 - 24*y**3/7 + y + 105. Suppose x(k) = 0. Calculate k. 0, 1, 3, 16/3 Let w(k) be the third derivative of -k**7/105 - k**6/20 + k**5/5 + 7*k**4/3 + 8*k**3 + 2*k**2 + 220. Factor w(r). -2*(r - 3)*(r + 2)**3 Let a be ((-1065)/75 - -19)/((-3)/(-10)). Let c(m) be the first derivative of -64*m + 34 - a*m**2 - 4/3*m**3. Suppose c(r) = 0. Calculate r. -4 Let r(z) be the first derivative of -2*z**5/35 + 41*z**4/14 - 318*z**3/7 + 1159*z**2/7 - 1444*z/7 - 40. Find o such that r(o) = 0. 1, 2, 19 Let k(d) be the third derivative of d**5/510 - d**4/51 - 5*d**3/51 - 614*d**2. Determine n, given that k(n) = 0. -1, 5 Let c(j) be the first derivative of 3*j**5/35 + 3*j**4/28 - 2*j**3/7 + 6599. Factor c(p). 3*p**2*(p - 1)*(p + 2)/7 Let l = 40 + -24. Let u = l + -3. Let 6*v**4 + u*v**2 - 4*v**3 - 18*v**4 + 4*v - v**2 = 0. Calculate v. -1, -1/3, 0, 1 Let i be (4374/180)/((1 - 16/40)*1/1). Solve 135*w**2 + 3/2*w**5 + 33/2*w**4 + i + 69*w**3 + 243/2*w = 0 for w. -3, -1 Let b(x) = 2*x**2 - 2*x. Let z be b(-1). Factor 103 - 4*h**3 - 4*h**2 - 52 + z*h**4 + 4*h - 51. 4*h*(h - 1)**2*(h + 1) Let z = 616 + -616. Factor 31*h**2 + z*h**3 + 4*h**3 + 30*h + 19*h**2 + h**3 + 15*h. 5*h*(h + 1)*(h + 9) Let g be ((13254/(-20))/((-24)/(-32)))/(4 + (-81)/18). Factor -188/5*j - g - 1/5*j**2. -(j + 94)**2/5 Let o be (-7)/(35/(-100))*(41/(-492))/((-28)/40). Let -2/21*u**3 - 176/21*u - 8 - o*u**2 = 0. What is u? -21, -2 Suppose -133*n + 314 = -351. Let u(j) be the third derivative of 0 - 1/180*j**6 + 0*j**3 + 0*j + 1/9*j**4 + 0*j**n - 26*j**2. Factor u(b). -2*b*(b - 2)*(b + 2)/3 Let g(p) be the third derivative of p**5/60 - 61*p**4 + 89304*p**3 + 2*p**2 - 241*p. Determine s so that g(s) = 0. 732 Suppose 102 = 3*a - 3*k, 4*a - 2*k - 132 = -0*k. Factor a*v - 6882 - 3*v**2 + 46*v + 4759 - 5989 + 234*v. -3*(v - 52)**2 Factor -153/7 + 93/7*w + 3/7*w**3 + 57/7*w**2. 3*(w - 1)*(w + 3)*(w + 17)/7 Let j(p) = 104*p**2 - 72 - 113*p + 105*p**2 - 244*p**2 - 9*p**3. Let m(n) = -4*n**3 - 18*n**2 - 56*n - 36. Let b(q) = 2*j(q) - 5*m(q). Factor b(y). 2*(y + 1)*(y + 3)*(y + 6) Suppose 2*x - 32 = -4*g, -3*x - 3*g + 18 = -7*g. Suppose -59 = -2*d - 5*j, -5*j = 5*d - x*j - 60. Solve -y**2 + d*y**4 - 13*y**4 - y**3 + 4*y**3 = 0. -1, 0, 1/4 Let s = 81116 - 567802/7. Factor -s + 12/7*i - 2/7*i**2. -2*(i - 5)*(i - 1)/7 Let u(s) be the second derivative of 15*s**3 - 21/40*s**5 + 12*s**2 - 2*s + 3/2*s**4 - 12. Find y such that u(y) = 0. -2, -2/7, 4 Let r be 63/6*(-764)/(-5348). Solve -r*s - 3/4*s**2 + 45/4 = 0 for s. -5, 3 Let r(o) be the second derivative of 4*o**7/147 - 37*o**6/105 + 121*o**5/70 - 86*o**4/21 + 100*o**3/21 - 16*o**2/7 - 2*o + 85. Solve r(a) = 0. 1/4, 1, 2, 4 Let j(u) be the second derivative of -u**5/30 + 46*u**4/27 + 229*u**3/27 + 22*u**2/3 - 4296*u - 2. Find m such that j(m) = 0. -2, -1/3, 33 Let b = -5637/4060 - -121/87. Let l(t) be the third derivative of -1/70*t**5 - b*t**6 + 4/21*t**3 + 0*t + 13*t**2 + 0 + 0*t**4. Suppose l(f) = 0. Calculate f. -2, 1 Suppose -37*r + 35*r - 82 = 0. Let p = -39 - r. Let 24*h**2 - 12*h**3 + 12*h**5 - 32*h**2 + p*h**4 + 6*h**4 = 0. Calculate h. -1, -2/3, 0, 1 Let x be 0 + (4 - (-702)/(-189)). Suppose -4/7*i - 2/7*i**4 - 6/7*i**3 + 0 + 10/7*i**2 + x*i**5 = 0. Calculate i. -2, 0, 1 Let r(g) be the first derivative of 1/9*g**6 + 5/6*g**4 + 8/15*g**5 + 3 + 4/9*g**3 + 0*g**2 + 0*g. Factor r(l). 2*l**2*(l + 1)**2*(l + 2)/3 Let q(y) be the third derivative of 55/6*y**4 + 0*y + 121/12*y**5 + 10/3*y**3 - 18 + 7*y**2. Solve q(g) = 0 for g. -2/11 Solve 121*a**4 - 50*a**4 - 8*a**4 + 63*a**5 + 1 - 108*a + 120*a**4 - 195*a**2 + 45*a**3 + 11 = 0. -2, -1, 2/21, 1 Let l(m) = -4*m**2 + 708*m - 2118. Let y(u) = 33*u**2 - 5662*u + 16944. Let s(v) = -17*l(v) - 2*y(v). Factor s(r). 2*(r - 353)*(r - 3) Let u(p) be the second derivative of p**4/6 - 3896*p**3/3 + 3794704*p**2 + 310*p. Suppose u(g) = 0. What is g? 1948 Let b = 274654 - 1922575/7. Suppose 1/7*w**5 + 1/7*w**4 + 0 + 2/7*w - 1/7*w**2 - b*w**3 = 0. Calculate w. -2, -1, 0, 1 Factor -61/5*b + 66 - 1/5*b**2. -(b - 5)*(b + 66)/5 Determine t, given that -3*t**2 - 3/5*t**3 + 48 + 102/5*t = 0. -8, -2, 5 Let y be (-52*12/126)/(50/(-75)). Determine p so that 128/7 + 2/7*p**5 + 8/7*p**2 - 10/7*p**4 - y*p**3 + 176/7*p = 0. -2, -1, 2, 8 Let y be ((-171)/19 + 5)*3*5/(-20). Factor 14/3*q**2 - 2*q**y - 2/9*q**4 + 0 - 22/9*q. -2*q*(q - 1)**2*(q + 11)/9 Let a(v) be the second derivative of 121*v**7/42 + 33*v**6/5 - 5*v**5 - 2*v**4 - v + 94. Find l such that a(l) = 0. -2, -2/11, 0, 6/11 Let t be 18 + (-7 - -8) - 7. Factor 0 - t*m**2 - 2/5*m**3 + 0*m. -2*m**2*(m + 30)/5 Let r be -10 + 16 - (13 + -11) - 1. Let n(w) = -w**3 + w**2 + 5*w + 3. Let a be n(-2). Solve 0 + 4/9*q**4 - 5/9*q**r + 0*q - 1/9*q**a + 2/9*q**2 = 0 for q. 0, 1, 2 Factor -14*z**3 - 30*z**2 - 3266*z**4 + 3*z**5 + 3278*z**4 - 16*z**3 + 9*z**3. 3*z**2*(z - 2)*(z + 1)*(z + 5) Find f, given that -4*f**3 - 240 + 1716*f + 2*f**3 + 34*f**2 - 1760*f = 0. -2, 4, 15 Let 52 + 20/3*b**2 + 103/3*b + 1/3*b**3 = 0. Calculate b. -13, -4, -3 Let g(k) = -216*k + 36506. Let c be g(169). What is m in 0 - 4/3*m - c*m**4 + 2*m**2 + 2/3*m**5 + 2/3*m**3 = 0? -1, 0, 1, 2 Factor -132*i - 5*i**5 + 126*
{ "pile_set_name": "DM Mathematics" }
1/24400 (c) 22 a What is the second biggest value in -0.5, -38, 2097112? -0.5 What is the fifth smallest value in 2, 0.32, -2/15, -0.03, 1, 0.7, 0.5? 0.7 Which is the fifth smallest value? (a) -97 (b) -99718/7 (c) 4 (d) 3 (e) 0.2 c What is the second smallest value in 5, 29590/63, -0.2? 5 Which is the third smallest value? (a) 0.86783 (b) 2 (c) 76 c What is the fifth smallest value in -4, -0.12, 5, 6, -1, -2/713? 5 Which is the fourth biggest value? (a) -3 (b) -0.06 (c) -4 (d) -126 (e) 0.075 c Which is the biggest value? (a) -2/7 (b) 84 (c) -112197 b What is the fourth smallest value in -28727.87, -2, -4/3, -1/5? -1/5 What is the fourth biggest value in 2, 0.3, -0.3328, -57, 2/61, 5? 2/61 Which is the fifth biggest value? (a) 0 (b) -4/5 (c) 5 (d) 23.065 (e) 1/8 (f) 4/23 a Which is the third biggest value? (a) 2.7386 (b) -0.02 (c) -1/2 (d) 0.1 b What is the fourth smallest value in 3, 2, -1/9, -10991, 0.3? 2 Which is the sixth smallest value? (a) 0.2 (b) 1 (c) -2 (d) -4 (e) 6/11 (f) -0.33981 b Which is the second smallest value? (a) 2/3 (b) -145/28 (c) 4990 a What is the third biggest value in 3/7, 2/13, 5/7152? 5/7152 Which is the biggest value? (a) 5/7 (b) 0.3 (c) -4507/7 (d) -0.3 (e) -3/7 (f) 2 f What is the third biggest value in 4, 4/19, -119/319? -119/319 Which is the smallest value? (a) 1/5 (b) 9 (c) -0.2849 (d) -2 d Which is the third smallest value? (a) 0.03548 (b) -1/11 (c) -0.472 a What is the third smallest value in 42, -280, -1/106? 42 What is the fifth smallest value in -1.1, -27, -1, -2.2, -3? -1 Which is the third biggest value? (a) 1/4 (b) 1.7115 (c) 0.05 (d) -2/73 c What is the second smallest value in -0.0283, -8/9, 0.5, -143? -8/9 What is the third smallest value in 0.4, -16, -3/4, -32, -1423, 4? -16 What is the smallest value in -2/3, 0.2, 2673, -1715? -1715 What is the third smallest value in -1/27, 21521, 13/3? 21521 Which is the fourth smallest value? (a) 921 (b) 2 (c) -0.311 (d) 2/15 a Which is the third biggest value? (a) -1 (b) 53516046 (c) -0.1 a Which is the fifth biggest value? (a) 5/9 (b) 8 (c) -69 (d) -3/8 (e) 3/7 (f) 12 d Which is the sixth smallest value? (a) -16 (b) 2 (c) -29/2 (d) 1/82 (e) 0 (f) 7 f What is the second smallest value in 0.125, 14025, -5? 0.125 What is the third smallest value in -1, 1/7, -2/33965, 1? 1/7 Which is the smallest value? (a) -164/9 (b) 0.03 (c) 2.7453 a Which is the seventh biggest value? (a) 1 (b) 3 (c) -2/3 (d) -0.01305 (e) 4 (f) 27 (g) -2 g What is the biggest value in -7/10, -4, 3/4, -0.1, 1167, 6? 1167 What is the fourth smallest value in 52, 2/13, -13/3, 42, -0.1? 42 What is the fourth smallest value in 4/661, 7, 0.5, 116? 116 Which is the seventh smallest value? (a) 4 (b) 2/9 (c) -0.14 (d) 0.5 (e) -2/5 (f) -0.03 (g) 14 g Which is the third smallest value? (a) 4 (b) -1/13 (c) 0.015 (d) 3 (e) 0.2 (f) -815 c Which is the third smallest value? (a) 1/12 (b) -2 (c) -3/2 (d) 1/5 (e) -3/134921 e Which is the third biggest value? (a) -2 (b) -0.4 (c) 10 (d) 2/9 (e) -1297 b What is the smallest value in -188, -4, 0.068275, 0.05, 0.1? -188 Which is the fifth biggest value? (a) 4 (b) -49/2 (c) 19 (d) -0.18 (e) -0.2 (f) 47 (g) -1 e What is the third biggest value in 5156/239, 2, -3/2? -3/2 Which is the second smallest value? (a) 159/2 (b) 6 (c) -3/2 (d) 0.4 (e) -4/7 (f) 0 e What is the smallest value in 80203, -1, -5? -5 Which is the smallest value? (a) 48 (b) -108/11 (c) -1/22 (d) -0.04 b What is the second biggest value in 4, -11, -776.804, -3/2? -3/2 What is the fourth biggest value in -44, -2.2, -2, 16564/3? -44 What is the fifth biggest value in 5, 15, 0.01, -300, -2/3, -0.5? -2/3 Which is the second biggest value? (a) -3/25 (b) -80 (c) -1 (d) -3 (e) -0.9 (f) 2/41 a Which is the biggest value? (a) 3/3820 (b) 12/59 (c) -121 b What is the biggest value in -3/1465, 4/5, 115, 3? 115 What is the biggest value in 3416, 0, -3, -4, 78, -1? 3416 Which is the smallest value? (a) -20071/32 (b) 0.6 (c) -2/7 a What is the smallest value in -4, 15, 0.047, -2, 7400? -4 Which is the third smallest value? (a) 0.1 (b) 62389262 (c) 5 b Which is the fourth biggest value? (a) 3 (b) -9 (c) -140 (d) 0.2 (e) -2/75 b What is the second biggest value in -7, 9, 1, 2, 30890? 9 Which is the smallest value? (a) 0 (b) 5 (c) -5432208 c Which is the second smallest value? (a) 21.39 (b) 1 (c) 59/5 (d) -12 b What is the smallest value in 0.2, 3, -4, -4/45, 0, 2/343? -4 What is the third biggest value in -23/3, -1596.4, -48? -1596.4 What is the fifth smallest value in -10, -2/15, -1.3, 0.023, 0.04? 0.04 Which is the third smallest value? (a) 0.1 (b) -2 (c) -5881 (d) -5 (e) 191 b What is the third biggest value in -2.3, 0.5, -4, 637/2, 3, -5? 0.5 What is the third smallest value in 1, 0, -2/11, 27077, -0.1? 0 What is the third biggest value in -5, -4/9, 17, -0.03, 4, 49/5? 4 What is the biggest value in -0.23224552, -1/9, -0.2, -2/5? -1/9 Which is the second biggest value? (a) -5 (b) -217 (c) 0.04 (d) 1/2 (e) 15 (f) -2/9 d What is the second smallest value in 649/318, -406, -4? -4 Which is the second biggest value? (a) 6 (b) -639 (c) -42 (d) -4/3 d What is the fifth smallest value in -13, -42, 2, -3, -10, -26, -1/7? -3 What is the third biggest value in -0.0211, 0.4, -0.1, 1572? -0.0211 Which is the fourth biggest value? (a) -7617 (b) -4 (c) -109/7 (d) -3 a What is the third biggest value in 4.021, -5/126, 126? -5/126 What is the fourth biggest value in -203324, -5, -3/2, -72? -203324 What is the second smallest value in -0.14, 1982/9, -573? -0.14 What is the fourth biggest value in 1/3, -0.0469, 16, 3/2, 2? 1/3 What is the sixth smallest value in -5, -2/21, 0.059, 0.2, -0.3, -3/2422, 0.5? 0.2 Which is the third biggest value? (a) 1 (b) -38 (c) -8736 c Which is the second biggest value? (a) -1058 (b) -254559 (c) 0.3 a Which is the smallest value? (a) -0.3 (b) 5 (c) -7 (d) -2/15 (e) -9 (f) 22 (g) -552 g What is the fourth smallest value in -197, -2/5, -313, 128/15? 128/15 What is the fourth biggest value in -1, -1/6, -6293, 1/2, -36? -36 What is the second biggest value in 1, 88, -0.5, 2/19, -0.1, 42? 42 What is the second smallest value in 103, -17, 0.4, 8, -1/5, 0.14? -1/5 What is the smallest value in -0.490042, -2/7, -32, -2/9? -32 Which is the smallest value? (a) 1621 (b) 1/8 (c) -3.0168 c What is the second smallest value in -0.4, -1708.2, -0.2, 9? -0.4 Which is the fourth biggest value? (a) 7 (b) -3 (c) 40/11 (d) 0 (e) -5/7 (f) -19 (g) 2 d Which is the third biggest value? (a) -2/17 (b) 0.356900292 (c) -3 c What is the third biggest value in -5, 3.9, 6316? -5 Which is the smallest value? (a) -0.2 (b) 1/4 (c) -2 (d) -31 (e) -983 e Which is the smallest value? (a) 31/3756 (b) 2 (c) 56 a Which is the sixth biggest value? (a) -5 (b) 26 (c) 4 (d) -0.07 (e) -0.5 (f) 12/13 a What is the third smallest value in 0.3, -20, -0.0459, 3? 0.3 What is the second biggest value in 1358658, -4, 5, 0? 5 Which is the sixth biggest value? (a) -0.4 (b) 0.3 (c) -0.01 (d) 7 (e) 4 (f) 0.171 a Which is the second smallest value? (a) -8/3 (b) -18/35 (c) 0.1 (d) 5 (e) 37 b What is the second biggest value in 20, 2/17, 109, -7/4, 1/9, -0.07? 20 What is the fourth smallest value in -3198, -2, -1, 2/21, -6? -1 What is the smallest value in -363906, -4, -5, -6? -363906 Which is the third smallest value? (a) -192 (b) -1/3 (c) 10 (d) -19 (e) -5 (f) 2 e What is the fourth smallest value in 2, 0.4, 2/4655, -0.4, 464, 3/8? 0.4 Which is the second smallest value? (a) 4 (b) -141/26 (c) -0.6 (d) 34.4 (e) 1/4 c Which is the third biggest value? (a) -6/17 (b) -2/7 (c) -496.2 c What is the fourth smallest value in -3/7, 3, 2/9, 2/629? 3 What is the second biggest value in 0.1, 0.08, 7, 221, -4, 8/5, -3? 7 Which is the smallest value? (a) -5 (b) -1285 (c) 4749 (d) -0.2 b Which is the fourth smallest value? (a) 34539 (b) -5 (c) 1/5 (d) -12 (e) 0.4 (f) -3 c Which is the biggest value? (a) 48 (b) 5 (c) -14.84 (d) -187 a Which is the fourth biggest value? (a) -342/55 (b) 0.2 (c) 4 (d) -0.3 (e) -7 (f) 2 d Wha
{ "pile_set_name": "DM Mathematics" }
In base 5, what is 14323 + 130? 20003 In base 6, what is -12 + -3200500? -3200512 In base 9, what is 17 - -114? 132 In base 8, what is 44617 - 16? 44601 In base 13, what is 1a162 + -1? 1a161 In base 9, what is -1 - 4532? -4533 In base 12, what is 2 + -1071? -106b In base 10, what is -3 - 1147? -1150 In base 9, what is 12 + 13382? 13404 In base 15, what is -6c + -1719? -1786 In base 10, what is -2 + -33189? -33191 In base 14, what is 1a4 + -208? -44 In base 4, what is -12301 + -23321? -102222 In base 13, what is -5 - b64c? -b654 In base 8, what is 7 + -132345? -132336 In base 5, what is -43 - 341223? -341321 In base 10, what is -3 + -20057? -20060 In base 12, what is -25700 + 1b? -256a1 In base 4, what is 20313 - -222? 21201 In base 15, what is 425 + -1? 424 In base 6, what is -14010 + 305? -13301 In base 12, what is -2 - -195? 193 In base 10, what is -7931 - -6? -7925 In base 13, what is -891 + 38? -856 In base 16, what is 2e692 + 9? 2e69b In base 15, what is -8 + 77e? 776 In base 14, what is -1d - -2c3c7? 2c3a8 In base 6, what is 5043032 - 4? 5043024 In base 3, what is 2110202 - -211112? 10022021 In base 4, what is 32012 - -22? 32100 In base 5, what is -1230 + -22034? -23314 In base 7, what is -4301321 - -2? -4301316 In base 2, what is 101001110010110010 + -101? 101001110010101101 In base 14, what is a9 + 30? d9 In base 7, what is -3532442 + -2? -3532444 In base 13, what is -1c204 + -33? -1c237 In base 2, what is -100100110110111110 - 101? -100100110111000011 In base 7, what is -40310 - 42? -40352 In base 6, what is -230442 - 23? -230505 In base 2, what is 100010 - 101001110111100? -101001110011010 In base 12, what is -269 + -170? -419 In base 8, what is -144262 - -1? -144261 In base 5, what is -3 - -30220003? 30220000 In base 16, what is 8e + 4dec? 4e7a In base 14, what is 25a8 - -c? 25b6 In base 15, what is -103b4 - 4? -103b8 In base 9, what is -162 - 3064? -3236 In base 11, what is -5360 - -3? -5358 In base 12, what is 32b06 - 1? 32b05 In base 4, what is -211010332 + 10? -211010322 In base 8, what is 47 + -57? -10 In base 9, what is 10 - -26500? 26510 In base 7, what is 3 + -35462? -35456 In base 9, what is 1 - 3136? -3135 In base 3, what is -2 + 222222002? 222222000 In base 14, what is -1b81c + -15? -1b833 In base 9, what is 2302238 - 2? 2302236 In base 7, what is 644 - -205? 1152 In base 10, what is 2 - 4885? -4883 In base 2, what is -11 - 1101001101101? -1101001110000 In base 8, what is -21033 - -14? -21017 In base 15, what is -4364 - -5? -435e In base 16, what is -f - 547? -556 In base 3, what is -112 - 12201120? -12202002 In base 13, what is -c61 + -34? -c95 In base 6, what is 4352 + 34? 4430 In base 10, what is 389 + -3313? -2924 In base 9, what is -4 - -41864? 41860 In base 8, what is -352206 - -5? -352201 In base 7, what is -2016061 - 0? -2016061 In base 11, what is 6 - -1539? 1544 In base 11, what is -7592 + -15? -75a7 In base 7, what is -1023423 + 12? -1023411 In base 6, what is -11013 - -333? -10240 In base 9, what is -20246 + 152? -20084 In base 12, what is -1 - -28150b? 28150a In base 9, what is -2835 + 20? -2815 In base 14, what is 2ab11c + 4? 2ab122 In base 10, what is 316465 - -5? 316470 In base 12, what is -5 - 204441? -204446 In base 4, what is -330033120 + 23? -330033031 In base 5, what is 2 - -420040? 420042 In base 7, what is 446 - 134505? -134026 In base 15, what is 3 + -7c6a? -7c67 In base 7, what is 142 - -1030? 1202 In base 8, what is 24304 + -677? 23405 In base 13, what is -74b - -24? -727 In base 6, what is 1011024 - -33? 1011101 In base 7, what is -2 + -562552? -562554 In base 5, what is -440120 + -143? -440313 In base 4, what is 1230302 - -30? 1230332 In base 2, what is 1011010110 + -1100010011? -111101 In base 15, what is 1b5689 + 2? 1b568b In base 9, what is 556 + -1774? -1217 In base 2, what is 110 - -11101111010101? 11101111011011 In base 9, what is -387 - -4346? 3848 In base 5, what is -2411 + -13331? -21242 In base 14, what is -8a - -1a3? 117 In base 11, what is 10652 - -4? 10656 In base 3, what is 2 - -1001221021? 1001221100 In base 5, what is -1 - 204414442? -204414443 In base 6, what is -3 + 144520? 144513 In base 6, what is -3 - 1443150? -1443153 In base 12, what is -174 + 41a? 266 In base 8, what is 267 - 164? 103 In base 4, what is 11110221 + 0? 11110221 In base 10, what is 368 + -1? 367 In base 16, what is -563 + b2? -4b1 In base 10, what is 2883 + -11? 2872 In base 16, what is c7 + 372f? 37f6 In base 4, what is -3 + -201311232? -201311301 In base 13, what is 46b9 - -5? 46c1 In base 16, what is -bf4 + 2? -bf2 In base 4, what is 3030101 - 201? 3023300 In base 13, what is 12c6 - -2? 12c8 In base 5, what is 4 + 11131041? 11131100 In base 4, what is -3310 + -10333331? -11003301 In base 4, what is 23111 - 1010? 22101 In base 4, what is 23010310 - 3? 23010301 In base 4, what is -101222 + 0? -101222 In base 12, what is b1b966 + -4? b1b962 In base 10, what is -188 - 122? -310 In base 2, what is 1010100111111110 + -10111? 1010100111100111 In base 2, what is -100001000 - -100? -100000100 In base 10, what is 13820 - -4? 13824 In base 8, what is 1767 + -12? 1755 In base 14, what is -517 - -8? -50d In base 14, what is 2657 - 2? 2655 In base 10, what is -9 - 3248? -3257 In base 2, what is 1000 + 111101000000100101? 111101000000101101 In base 3, what is -21102002 + -1022? -21110101 In base 3, what is 1202102102 + 211? 1202110020 In base 5, what is -2114 + 4434? 2320 In base 5, what is -4131 + -1144? -10330 In base 15, what is -1e99 - -1? -1e98 In base 14, what is 3109 + 34? 313d In base 11, what is 456 + 97? 542 In base 12, what is 509 - -a? 517 In base 4, what is -1223100 + -103? -1223203 In base 10, what is -1 + 12214? 12213 In base 14, what is -94c + 8c? -8a0 In base 4, what is 3230122 - -10? 3230132 In base 2, what is -1001000111000111 - -1? -1001000111000110 In base 3, what is 200 + -10202200? -10202000 In base 13, what is 211 - 4b? 193 In base 10, what is 5 - -28005? 28010 In base 10, what is 2400 - 256? 2144 In base 12, what is -1264 - -86? -119a In base 5, what is 14 + -1101112? -1101043 In base 4, what is -10111 + -3010? -13121 In base 13, what is 14 + b72? b86 In base 6, what is -13252 - 12411? -30103 In base 5, what is -4234 - 402? -10141 In base 3, what is -102102111 + 111? -102102000 In base 15, what is -315c7 - 5? -315cc In base 5, what is -1 + -2403041? -2403042 In base 4, what is 33101303 - -3? 33101312 In base 3, what is -1000101201 - -20110? -1000011021 In base 7, what is 1423 + 1? 1424 In base 9, what is 513 - 4? 508 In base 8, what is 170 + 3565? 3755 In base 13, what is 161 + 1cc? 360 In base 14, what is -10 + -313? -323 In base 8, what is -103314 - 5? -103321 In base 4, what is -2333 + -21? -3020 In base 14, what is -625 - 28? -64d In base 8, what is -271 - -12727? 12436 In base 7, what is -415 + 5303? 4555 In base 10, what is 26 + 45161? 45187 In base 3, what is -12021120120 - 2? -12021120122 In base 9, what is 22706 - 1? 22705 In base 7, what is -125416 + 2? -125414 In base 16, what is 1704 - -93? 1797 In base 15, what is -5 + -5da4? -5da9 In base 3, what is -21200211 + -2? -21200220 In base 4, what is -22110023111 - 3? -22110023120 In base 8, what is 77 + -203? -104 In base 15, what is -3 - 1a475? -1a478 In base 5, what is -2034 - 3? -2042 In base 14, what is -310 - -1da2? 1a92 In base 16, what is 1515f - 2? 1515d In base 2, what is -1100111111111011 - -1? -1100111111111010 In base 10, what is 5 + 135847? 135852 In base 7, what is 10 + -46054? -46044 In base 7, what is -165051 - 0? -165051 In base 5, what is 240122120 + 0? 240122120 In base 8, what is -130 - -377? 247 In base 8, what is 44261 - 72? 44167 In base 8, what is -2437 + -54? -2513 In base 3, what is -202210 - 211111? -1121021 In base 3, what is -121 - 1112112021? -1112112212 In base 14, what is 13b2cb - -4? 13b2d1 In base 4, what is 10132202 - 20? 10132122 In base 11, what is -10659 + 3? -10656 In base 13, what is 2 - -11820? 11822 In base 16, what is e580c + -4? e5808 In base 7, what is -1430 - -30562? 26132 In base 6, what is -51244 + 4? -51240 In base 12, what is -2 - 3734? -3736 In base 7, what is 23645 + 1051? 25026 In base 3, what is 12 - 2112111? -2112022 In base 14, what is -1467bb - 5? -1467c2 In base 9, what is -
{ "pile_set_name": "DM Mathematics" }
n base 2, what is 1101000111010001 - 11? 1101000111001110 In base 14, what is 85 + -540? -499 In base 3, what is 20 + -21211221? -21211201 In base 4, what is -30 + -32123230? -32123320 In base 8, what is -302 + -630? -1132 In base 12, what is -6 + -b528? -b532 In base 13, what is 7ab6 - -93? 7b79 In base 12, what is a1 - 92? b In base 8, what is 547 - 2470? -1721 In base 7, what is -1160252 - 3? -1160255 In base 4, what is -111 + -11222313? -11223030 In base 4, what is 11 - -1323320? 1323331 In base 4, what is -330310 + 111212? -213032 In base 4, what is -1302332221 + -2? -1302332223 In base 10, what is 0 + -1374? -1374 In base 10, what is 4 - 18328? -18324 In base 15, what is -d - -1046? 1038 In base 8, what is 671133 - -3? 671136 In base 15, what is -41c3 - 6? -41c9 In base 8, what is -277036 - -7? -277027 In base 7, what is -3 + -22214? -22220 In base 9, what is -654030 + 4? -654025 In base 7, what is -431112 + 50? -431032 In base 12, what is 643 - 3b8? 247 In base 7, what is 24 + -236? -212 In base 8, what is 131512 - -4? 131516 In base 7, what is 0 - -13420? 13420 In base 10, what is 29685 - 15? 29670 In base 13, what is -2906 + -47? -2950 In base 10, what is -13 + 19274? 19261 In base 11, what is -176359 + -1? -17635a In base 9, what is -4 + 17105? 17101 In base 3, what is -110021120 - -1? -110021112 In base 4, what is 0 + -332323223? -332323223 In base 11, what is 704318 + -5? 704313 In base 4, what is 332312 + 2203? 1001121 In base 16, what is -2 - -1bde? 1bdc In base 14, what is 9d8 - -9? a03 In base 8, what is 2545245 + -4? 2545241 In base 13, what is -b094 - 14? -b0a8 In base 9, what is 206776 - -5? 206782 In base 2, what is -11 - -111110000010010? 111110000001111 In base 12, what is 57998 - 0? 57998 In base 11, what is 1045 - 1041? 4 In base 2, what is 100111001110 - -1101? 100111011011 In base 9, what is 3700742 - -2? 3700744 In base 4, what is 122 + -12112? -11330 In base 13, what is -13223 + 3? -13220 In base 14, what is -83628 + -3? -8362b In base 16, what is -2 - -6521? 651f In base 2, what is 100000011 - -10011100101? 10111101000 In base 9, what is -5 - -43813? 43807 In base 8, what is 0 + 4465132? 4465132 In base 3, what is 12 - 1110112100? -1110112011 In base 7, what is -11 + 1032023? 1032012 In base 5, what is -10 + 13112120? 13112110 In base 7, what is 44064 - 1? 44063 In base 14, what is 140592 - -1? 140593 In base 10, what is 760754 - -4? 760758 In base 8, what is 5255 - 224? 5031 In base 16, what is -b34ff - 2? -b3501 In base 12, what is -790 + -2a? -7ba In base 14, what is 4 + 1a29d? 1a2a3 In base 9, what is 84 + 74624? 74718 In base 16, what is 6e9 + 39? 722 In base 12, what is 486 + -a97? -611 In base 16, what is 2 + b9? bb In base 6, what is -2 - 1200402? -1200404 In base 9, what is 72371 - -3? 72374 In base 3, what is -20001110 - 101? -20001211 In base 7, what is 26 - 4256? -4230 In base 10, what is -2014964 - -5? -2014959 In base 4, what is 3 + -20220112? -20220103 In base 3, what is -112 + -121102112? -121110001 In base 4, what is 1 - -32032230? 32032231 In base 3, what is -110110010 + 100? -110102210 In base 6, what is 1054205 + 120? 1054325 In base 7, what is 3323 - -1354? 5010 In base 11, what is -10 + -558a? -559a In base 4, what is -3 + -310203222? -310203231 In base 13, what is -7 - 3bc? -3c6 In base 16, what is 19 - 207? -1ee In base 13, what is -16b8 - 4? -16bc In base 10, what is -448417 - 0? -448417 In base 3, what is -2001 - 10201120? -10210121 In base 14, what is 5 + 102cb4? 102cb9 In base 10, what is 6 - 8236? -8230 In base 16, what is -30de + -e? -30ec In base 16, what is -4 + -32e8? -32ec In base 7, what is -1 - -324524? 324523 In base 10, what is -1597 - -1409? -188 In base 3, what is 1102220211221 + 12? 1102220212010 In base 3, what is -1021020221 + -10? -1021021001 In base 11, what is 412061 + -4? 412058 In base 16, what is 23e7 + -8? 23df In base 7, what is -10616561 - 0? -10616561 In base 9, what is -4368 - -444? -3824 In base 8, what is 3 + -16243? -16240 In base 10, what is -4 + -10771? -10775 In base 11, what is 2156 - -11? 2167 In base 6, what is 22424532 - 4? 22424524 In base 12, what is a89032 - 2? a89030 In base 14, what is -c + 6c96b? 6c95d In base 2, what is -100000001111010 + -100? -100000001111110 In base 16, what is fd5 - 0? fd5 In base 6, what is 115 + 10344? 10503 In base 9, what is -208640 + 7? -208632 In base 7, what is 20 + 141340? 141360 In base 8, what is 341 - -7471? 10032 In base 11, what is 1915 + 10? 1925 In base 12, what is 687 + 1884? 234b In base 9, what is -3 + 444763? 444760 In base 10, what is -126 + -237? -363 In base 14, what is 6 + 740c1? 740c7 In base 3, what is -2012 + 100020? 21001 In base 7, what is -2 + -240100? -240102 In base 7, what is -36 - -303006? 302640 In base 2, what is -110010001010101 - -11011? -110010000111010 In base 11, what is 12 - -866? 878 In base 16, what is -11c + -3fc? -518 In base 4, what is -233 + 2030? 1131 In base 7, what is -102465 + 4? -102461 In base 7, what is -2126361 - 4? -2126365 In base 12, what is -6 - 912? -918 In base 2, what is 1000100001100011 - -100? 1000100001100111 In base 4, what is -112 + 102130? 102012 In base 3, what is 11 - -11101220202? 11101220220 In base 3, what is 10211220222110 - -1? 10211220222111 In base 4, what is -320311203 - -12? -320311131 In base 2, what is 1100001111010011 + 100? 1100001111010111 In base 12, what is -1 - 110b? -1110 In base 15, what is -622b1 - 2? -622b3 In base 13, what is -1cb824 + -3? -1cb827 In base 14, what is -b + -5503? -5510 In base 15, what is -606 + 5? -601 In base 7, what is -46616 - 5? -46624 In base 2, what is -1011001011101101000 + 1? -1011001011101100111 In base 12, what is 2191a + -5? 21915 In base 9, what is -2375 + -45? -2431 In base 6, what is 555 + -2? 553 In base 16, what is -27e - 8? -286 In base 5, what is -10 + -23032241? -23032301 In base 9, what is -6 - 378477? -378484 In base 14, what is 225 - -5? 22a In base 7, what is 4005 + 100? 4105 In base 4, what is 20030 + -2333212? -2313122 In base 5, what is 4 - -1033233? 1033242 In base 15, what is -9d - 41? -de In base 11, what is a6 + 1648? 1743 In base 7, what is 3306101 - -3? 3306104 In base 9, what is 747 - 3621? -2763 In base 5, what is -1442032 + -20? -1442102 In base 11, what is 28 + 666? 693 In base 15, what is 1d728e - 5? 1d7289 In base 16, what is 40 - 7ff? -7bf In base 13, what is 162927 + -2? 162925 In base 2, what is 11 - -1110011110011011? 1110011110011110 In base 13, what is -2 + 273c? 273a In base 12, what is -237 - 42? -279 In base 16, what is 5 + -7b87? -7b82 In base 4, what is 1 + 221023121? 221023122 In base 3, what is -12 + 121100012? 121100000 In base 2, what is -10101110000001010101 + 10? -10101110000001010011 In base 7, what is 25 + 23110? 23135 In base 15, what is -4 + 5512? 550d In base 7, what is -223132 - -366? -222433 In base 8, what is 17 - 326? -307 In base 3, what is 10000121 + -222? 2222122 In base 2, what is 1 - 10010101100110? -10010101100101 In base 16, what is -1dfc - 4? -1e00 In base 13, what is -1a1 - -c0? -b1 In base 15, what is -4 - 24aca? -24ace In base 12, what is -20 + -60080? -600a0 In base 6, what is -12 - 153133? -153145 In base 12, what is -4 + 27a49? 27a45 In base 4, what is 1102231 + -1331? 1100300 In base 6, what is 14350140 + -3? 14350133 In base 15, what is -1d6c - -96? -1cc6 In base 13, what is 3b3 - -5? 3b8 In base 6, what is 0 + -12511553? -12511553 In base 5, what is -2024312 - 0? -2024312 In base 12, what is -76 - -825? 76b In base 15, what is 1 - -18d49? 18d4a In base 9, what is -228 - 36? -265 In base 9, what is 552 - 801? -238 In base 6, what is -5400 + 2022? -3334 In base 7, what is 1044 - -246? 1323 In base 6, what is -14 + -1242? -1300 In base 13, what is 1396a5 + -2? 1396a3 In base 7, what is 151 + 151533? 152014 In base 7, what is 43 - -1341? 1414 In base 7, what is -2113 + 266? -1514 In base 3, what is 1210101 - -12112? 1222220 In base 16, what is 3 + -4fa15? -4fa12 In base 8, what is -17 - 27310? -27327 In base 15, what is 6c9 + -27b? 44d In base 11, what is -5 - -247a08? 247a03 In base 8, what is 41740 + 2? 41742 In base 5, what is -11 + 111004? 110443 In base 12, what is -2 - 624? -626 In base 2, what is -101101101111000 - -101? -10110110
{ "pile_set_name": "DM Mathematics" }
8 = 3*w + 2*c for w. 2 Solve -b + 5*c - 49 = 3*b, 4*b = -c + 5 for b. -1 Solve 0 = -4*s, 3*l + 4*s = 16 - 1 for l. 5 Solve l = 340*v - 338*v - 9, 2*v - 4*l = 24 for v. 2 Solve 13609*u - 13613*u = -4*n - 24, -5*n + 15 = 4*u for u. 5 Solve -3*b = 5*v - 12 + 33, -19 = 2*b + 5*v for b. -2 Solve 5*p + 175*f + 72 = 188*f, -3*p = -3*f + 24 for p. -4 Solve -79*h - 11 = -u - 81*h, -5 = -3*u + h for u. 3 Solve -q + 5 = -2*a, -4*q + 2173 = 2185 for a. -4 Solve 350*j - 345*j = 3*g + 40, 3*j = g + 20 for j. 5 Solve -5*g - 68 = -4*u, -g = -1843*u + 1847*u + 28 for g. -16 Solve 0 = d + q, 765*q - 766*q + 3 = 2*d for d. 3 Solve z + r = 347 - 349, -8*r = -2*z + 46 for z. 3 Solve -1 = v, -2*w + 721*v - 716*v - 15 = 0 for w. -10 Solve -36 = 4*q + 4*u, q + 97*u + 24 = 99*u for q. -14 Solve 4*q = -0*n + 4*n - 64, 13*n = 8*n + 5 for q. -15 Solve 49*l + 34 = 51*l - 4*u, 0 = -2*u - 14 for l. 3 Solve 4*s = -3*r - 11, 12*r = s + 14*r + 4 for s. -2 Solve -5*i + 22 = 3*x, 16*x - 7*x - i - 34 = 0 for x. 4 Solve -5*k + 18*q - 95 = 0, 2*k + 17 = 18*q - 15*q for k. -1 Solve 0 = q + 4*f + 7, -2*q + 40*f = 43*f - 1 for q. 5 Solve 4*m - 3*h = -1, -14*m = -15*m + 7*h + 31 for m. -4 Solve 2*m + 283 = 8*t + 279, -2*t = -3*m - 6 for t. 0 Solve -4*b = -17*g - 105, 12*b - 9*b = 2*g + 25 for g. -5 Solve -52*n + 4 = -53*n, -5*r - 43*n = 147 for r. 5 Solve 235*r = 4*u + 236*r - 8, 4*r = 9*u - 68 for u. 4 Solve 5*w + 73 - 92 = 2*r, 2*w = -2*r + 2 for w. 3 Solve 200*g - 205*g + 15 = -2*q, 7*q + 32 = -3*g for g. 1 Solve -8*o + 4*o - 16 = -4*d, -2*d - 20 = 5*o for d. 0 Solve 0 = -w - 2*b - 11, 42*w + 4*b - 8 = 50*w for w. -3 Solve 0 = -1245*y + 1249*y, -l + 1 = -5*y for l. 1 Solve 5*m + 3*j = -7, 132 = -4*m + 2*j + 122 for m. -2 Solve 5*s + 48 = -4*t + 105, -6*t + 3*s = -117 for t. 18 Solve 24 = -4*m + 4*h, -70*m - 11*h - 33 = -72*m for m. -11 Solve -5 = -3*u - 25*j + 26*j, 5*u = 5*j + 35 for u. -1 Solve 11*g = 7*g + 3*q + 56, 3*g - 63 = -3*q for g. 17 Solve -3*c + 5*p - 1 = 0, 1647*c - 1654*c - 5*p = 19 for c. -2 Solve 0 = 14*r, j + 6*j - 2*j + r - 35 = -2*j for j. 5 Solve -2*t + 1927 - 1907 = k, 2*k - 5*t = -59 for k. -2 Solve -4*w + 20 = 2*q, 44 = 4*w - 3474*q + 3479*q for w. 1 Solve 0 = 3*y - i - 7, -3*y - 13 = 37*i - 33*i for y. 1 Solve 0 = -x - 16*k + 13*k - 5, -4*x + 4*k = -28 for x. 4 Solve -2*p - 6 = d, 4*p - 2*d = -1063 + 1035 for p. -5 Solve -8*y + 3*l - 52 = 12, 13 = -y + l for y. -5 Solve -4*z + 3*l + 4899 = 4921, -10*z - l - 42 = -2*l for z. -4 Solve 5*m - 86*y + 98*y = -2, m - 3 = y for m. 2 Solve 0 = -4*m - 12, -5*q + 69534*m = 69529*m + 30 for q. -9 Solve 4150 - 4151 = h - 3*c, 2*c - 22 = -2*h for h. 8 Solve -4*t - 103 = -107, -5*m + 28 = 3*t for m. 5 Solve y + 265 = -4*u + 249, u + 42 = -5*y for u. -2 Solve -3*u + h + 4 = -3, 5*h + 17 = -3*u for u. 1 Solve -1 = 3*z - 4*c + 11, z = -5*c + 15 for z. 0 Solve 721*s = -j + 718*s - 17, s = -5 for j. -2 Solve i - 16 = -5*k, 38*i - 39*i - 12 = -2*k for i. -4 Solve z - 4 = -s, -2*z - 3*s - 4*s = -33 for z. -1 Solve j + 13 = -3*b, 251*j - 252*j - 2*b = 13 for j. -13 Solve -a + 94 = -c + 84, 3*a + 5*c = 6 for a. 7 Solve -4*s + 66 - 54 = -g, 0 = -4*s - 4*g + 32 for s. 4 Solve 0 = -37*a + 35*a + 3*i + 21, -i - 7 = -2*a for a. 0 Solve -5*q - 3*l = 16, 136*q + 4*l + 6 = 137*q for q. -2 Solve 66*r + 35 = -5*g + 62*r, g - 28*r = -7 for g. -7 Solve 0 = 47*h + g - 191, 639*h - 14 = 634*h + 2*g for h. 4 Solve 0 = 4*i - b - 3499 + 3516, 4*b = -5*i - 16 for i. -4 Solve 2*g + 50647*n + 40 = 50651*n, -5*g - 5*n - 25 = 0 for g. -10 Solve -17*g + 16*g + 13 = 2*q, -3*q + 4*g = -47 for q. 9 Solve 5*o = -5*n + 25, 7*n + 122 = 150 for o. 1 Solve -3*l + 20 = -29*r + 28*r, -4*l = -4*r - 48 for l. 4 Solve 5 = -r + k, 4586*r - 3*k + 19 = 4585*r for r. 2 Solve 122*s - 125*s = -24, -5*s = 4*f - 48 for f. 2 Solve 1653*n + 5*l - 1 = 1651*n, -4*n - 3*l = -9 for n. 3 Solve -12*d - 2*c + 41 = -19*d, 2*c + 9 = -3*d for d. -5 Solve 22*w - 4*g = 21*w - 10, -5*g = 4*w - 2 for w. -2 Solve 25 = 5*b, 3*s + 47 = 4*b + 6*b for s. 1 Solve -4*x + u + 5 = 0, -2467*x + 2471*x - 17 = -3*u for x. 2 Solve -6206*s + 0*b = -6204*s - 2*b - 10, 0 = 3*s + 4*b + 27 for s. -1 Solve 2*w = -3*q + 6, 1208*w - 1209*w = 5*q + 11 for q. -4 Solve -3*y - 703 + 724 = 3*b, 4*y = -5*b + 31 for b. 3 Solve -3*v - 5*s = -3*s - 23, 5*v = -6*s + 49 for v. 5 Solve 68 = 4*p - 3*q, -75*p - 34 = -76*p + 5*q for p. 14 Solve f = 4*t + 3, 202*f - 69 = -3*t + 198*f for t. 3 Solve 4*u + 8 = -3*r, 126*u - 26 = -4*r + 128*u for r. 4 Solve 4*h = -x + 23, h - 105 = -46*x - 328 for x. -5 Solve 224*a + 32 = -4*n + 220*a, -40 = 5*a for n. 0 Solve -3*b = 4*j + 31, 1143*j - 1145*j - b - 15 = 0 for j. -7 Solve -2*y + 11*p = 62, -4*y + p - 16 = 7*p - 10*p for y. 2 Solve 11 = 3*k + 173*p - 175*p, -16*k - p + 12 = 0 for k. 1 Solve -2*m - 2*d = 8, 19*d - 20*d = -4*m + 4 for m. 0 Solve -10*n = -15*n - 5*w - 55, 0 = -5*n + 2*w + 29 for n. 1 Solve -3*f + 8 = u, 595*f + 3*u = 592*f for f. 4 Solve p = 5*p + 5*d + 49 - 9, 0 = -4*d for p. -10 Solve -144*d = -2*x - 147*d - 3, 2*d = 5*x - 2 for x. 0 Solve 23*g = 5*s + 10*g + 18*g - 40, 3*s - 3*g = 54 for s. 13 Solve 0 = -3*k - 5*n - 16, 5*k + 3*n = -6160 + 6144 for k. -2 Solve 4*d + 8 = -4*q, -3*d - 2*q - 42 + 32 = 0 for d. -6 Solve -39 = 4*i + 4*s - 123, -62 = -4*i - 3*s for i. -1 Solve 0 = -3*r - 4*f - 1 + 3, 6*r = 4*f + 16 for r. 2 Solve 28 = 4*z - 3*d, 2*z - 34 = -2*d - 62 for z. -2 Solve 5*a = 55, -1804*a = -5*o - 1805*a + 1 for o. -2 Solve -129 = -20*f - 22*f + m, 0 = f + 2*m + 3 for f. 3 Solve -4*w - 4*d = -1112 + 1128, -4 = 3*w - d for w. -2 Solve -3*s - 18 = 0, -4*s - 673 = 2*g - 655 for g. 3 Solve 0 = -4*a - 2*s - 14, -3*a - 103 = 4*s - 80 for a. -1 Solve -2*u + 360*m = 362*m + 26, 3*m = 3*u + 69 for u. -18 Solve r = 11*d - 59, -11*d - 9*r + 7*r + 47 = 0 for d. 5 Solve 513*b - 514*b + 1 = d, 2*d = 3*b + 2 for b. 0 Solve 2*w + 33 = 5*l, 1121*w = 2*l + 1116*w - 30 for l. 5 Solve -35*q + 7 = -2*w - 72*q + 36*q, -w + 4*q + 46 = 0 for w. 2 Solve 3*y = -2*p + 11 - 14, 4*p = 0 for y. -1 Solve -2*b = -3*f - 3, 37*f - 36*f + 1 = b for b. 0 Solve 2*w + 10 = a + 8, 4*w + 32 = -5*a for w. -3 Solve -k + 8 = -3*b, 1262*b = 1267*b - 2*k + 12 for b. -4 Solve -j - 3*s - 615 = -620, j = -2*s + 6 for j. 8 Solve p + 5 = 0, p + 150 - 148 = 3*r for r. -1 Solve -3*p - 5*c - 100 = -132, 0 = p - c - 24 for p. 19 Solve 0 = -2*n + 5*r + 45, -209*r = 3*n - 204*r + 20 for n. 5 Solve -5505*t + 5506*t - 16 = -4*s, -3*t = -3*s + 12 for s. 4 Solve 79 = -4*o + 4*w + 83, -4*w + 8 = 0 for o. 3 Solve -294*t - 5*j - 6 = -292*t, -4*t - 28 = 2*j for t. -8 Solve 4*p = 5*i + 21, 0 = -5*p + 33613*i - 33612*i for p. -1 Solve 0 = -4*z - 13*g + 18*g + 21, -2*g - 6 = -z for z. 4 Solve -11*o = -2*o + 36, 3*o = 69*d - 66*d + 33 for d. -15 Solve -5422*l + 5420*l - 3 = 5*s, 3 = s + 4*l for s. -1 Solve -5*p = 7*n - 92, -4*n + 18 = -n - 5*p for n. 11 Solve 2*p + 15 = -3*p, -2*j - j - 3*p = 12 for j. -1 Solve -19*d - 34 = -3*u, 4*u - 24 = -4*d - 8 for u. 5 Solve 0 = -l - 5*a + 2 + 6, 5*a - 20 = 5*l for l. -2 Solve -2459*j + 2464*j + 3*h = -27, 4*h = 4*j + 28 for j. -6 Solve 0 = 35*t - 39*t - 32*d + 16, 5*d - 9 = t for t. -4 Solve 18 = 6*d - g, 198 = -4*d - 3*g + 188 for d. 2 Solve -5*j = -45*c + 42*c + 25, 0 = -4*c + 2*j + 10 for c. 0 Solve 4*r + 890*x - 30 = 892*x, -4*r = -4*x - 60 for r. 0 Solve 333*n - 15 = 329*n - 3*q, 4*n + 5*q - 25 = -n for n. 0 Solve -41*m + 44*m - o = -5, 5*m - 3*o = -11 for m. -1 Solve 4*o + 4*q = 0, 2*q + 52 = -o + 53 for o. -1 Solve 0 = 5*y - 8*y + 4*a + 76, 0 = y - 5*a - 84 for y. 4 Solve -1706*j + 1703*j + 4*g = 5, j + 2*g + 5 = 0 for j. -3 Solve 0 = -5*o - 5*g - 20, -32*g - 52 = 2*o - 8*g for o. -2 Solve 4*x + 0*v = 3*v + 11, -3*x + 120*v = 126*v + 66 for x. -4 Solve h - q = -5, 24*h - 49 = 17*h - 5*q for h. 2 Solve -12*c = -4*m + m - 17*c - 3, -5*c - 15 = 0 for m. 4 Solve 5*a - 11 = -v, -4*a - 7 = 4*v - 3 for v. -4 Solve 41207 = s + 2*u + 41194, 3*u = -s + 17 for s. 5 Solve -15 = 2*g - p, -g + 15 = -70*p + 71*p for g. 0 Solve -3*i - 2*z + 4 = -4*i, 0 = -5*i - 27*z + 32*z for i. 4 Solve 0 = -p + 4, 38 = -o - p + 50 for o. 8 Solve -2074*d = 2*w - 2071*d + 31, -4*w - 52 = 4*d for w. -8 Solve 5*t - 282*x = -285*x - 20, 3*x - 4*x = -4*x for t. -4 Solve 8*i - 28 = 4*i - 8*a - 100, 0 = 19*a - 22*
{ "pile_set_name": "DM Mathematics" }
.93019075 How many nanoseconds are there in 21/2 of a microsecond? 10500 How many meters are there in 0.6925276mm? 0.0006925276 What is seven eighths of a tonne in kilograms? 875 Convert 122314.2 millilitres to litres. 122.3142 How many millennia are there in 1170218.1 months? 97.518175 How many days are there in 2716.494 hours? 113.18725 What is 32/5 of a tonne in kilograms? 6400 What is 3/16 of a century in months? 225 How many millilitres are there in 3/25 of a litre? 120 How many centuries are there in 52.57171 millennia? 525.7171 How many kilograms are there in 0.702079 tonnes? 702.079 How many centimeters are there in 27/5 of a meter? 540 How many centimeters are there in twenty-nine fifths of a meter? 580 What is three fifths of a kilometer in meters? 600 What is 3/5 of a week in minutes? 6048 What is 3/40 of a litre in millilitres? 75 How many minutes are there in 1.165224ns? 0.0000000000194204 How many centuries are there in 4.684449 decades? 0.4684449 What is eleven quarters of a minute in seconds? 165 What is 5/4 of a litre in millilitres? 1250 Convert 438938.2nm to meters. 0.0004389382 What is 24.3001ml in litres? 0.0243001 What is ninety-one halves of a litre in millilitres? 45500 Convert 701.8183 nanometers to millimeters. 0.0007018183 How many seconds are there in seven thirds of a hour? 8400 What is 1/5 of a micrometer in nanometers? 200 What is 1/5 of a micrometer in nanometers? 200 How many millilitres are there in 53/4 of a litre? 13250 Convert 6.5244 millennia to years. 6524.4 How many millilitres are there in 8/25 of a litre? 320 Convert 7.2095643ns to hours. 0.00000000000200265675 How many hours are there in 3/8 of a week? 63 How many months are there in 579001.3 centuries? 694801560 What is 2297.4561 months in decades? 19.1454675 What is 5141.223 micrometers in meters? 0.005141223 How many millilitres are there in seventeen halves of a litre? 8500 What is 65137.21 seconds in milliseconds? 65137210 How many tonnes are there in 78116.09ng? 0.00000000007811609 How many kilograms are there in 1.671ug? 0.000000001671 How many millilitres are there in 430530.7 litres? 430530700 What is 26/5 of a tonne in kilograms? 5200 What is twenty-six fifths of a decade in years? 52 What is 3272.284ug in kilograms? 0.000003272284 How many hours are there in 8.33386 days? 200.01264 How many nanograms are there in one twentieth of a microgram? 50 How many litres are there in 24.57735 millilitres? 0.02457735 How many nanoseconds are there in 5.750568 weeks? 3477943526400000 How many centuries are there in 432.5023 millennia? 4325.023 How many nanograms are there in twenty-seven quarters of a microgram? 6750 How many kilograms are there in seven halves of a tonne? 3500 What is 1/30 of a century in months? 40 What is 1474.101 kilograms in nanograms? 1474101000000000 How many millennia are there in 0.271009 decades? 0.00271009 How many millilitres are there in twenty-six fifths of a litre? 5200 What is 1/10 of a tonne in kilograms? 100 Convert 53869.04mm to nanometers. 53869040000 How many millennia are there in 472407.7 decades? 4724.077 How many grams are there in fourty-five quarters of a kilogram? 11250 What is five sixths of a hour in minutes? 50 Convert 434187.4 years to millennia. 434.1874 What is one tenth of a kilometer in meters? 100 How many millilitres are there in fourty-four fifths of a litre? 8800 How many days are there in 5.6599317ns? 0.00000000000006550846875 How many weeks are there in 34.8361398ns? 0.0000000000000575994375 What is 9/10 of a millimeter in micrometers? 900 What is 23/8 of a micrometer in nanometers? 2875 Convert 2835915.3 nanoseconds to minutes. 0.000047265255 What is 7.808754 days in minutes? 11244.60576 How many litres are there in 933827.6 millilitres? 933.8276 What is one fifteenth of a week in seconds? 40320 What is 399.0518cm in nanometers? 3990518000 What is 21/2 of a tonne in kilograms? 10500 What is 272380.6 minutes in seconds? 16342836 Convert 3352.92 kilograms to nanograms. 3352920000000000 How many millennia are there in 1535.462 decades? 15.35462 How many nanograms are there in 3/10 of a microgram? 300 What is 0.6091716m in nanometers? 609171600 What is 76/5 of a gram in milligrams? 15200 How many litres are there in 715363.3 millilitres? 715.3633 What is 37/5 of a micrometer in nanometers? 7400 What is 3/10 of a litre in millilitres? 300 What is 17/2 of a week in hours? 1428 How many micrograms are there in 51/4 of a milligram? 12750 How many nanograms are there in 13/5 of a microgram? 2600 What is 3/10 of a milligram in micrograms? 300 What is 3/25 of a microsecond in nanoseconds? 120 How many grams are there in seventeen halves of a kilogram? 8500 How many milligrams are there in 5.092747kg? 5092747 Convert 6054.65 centuries to millennia. 605.465 What is seven quarters of a centimeter in micrometers? 17500 How many micrometers are there in fourty-three halves of a millimeter? 21500 Convert 47.6725 days to milliseconds. 4118904000 How many millilitres are there in 0.892146 litres? 892.146 Convert 74030.36 nanometers to millimeters. 0.07403036 What is 84.193479s in days? 0.0009744615625 How many micrometers are there in 21/5 of a centimeter? 42000 What is one quarter of a litre in millilitres? 250 How many seconds are there in ten ninths of a day? 96000 What is 27/2 of a litre in millilitres? 13500 What is thirty-four fifths of a millennium in months? 81600 What is 4829.838 millimeters in meters? 4.829838 How many months are there in 27/2 of a century? 16200 How many months are there in 37/5 of a millennium? 88800 What is 26/5 of a litre in millilitres? 5200 What is one quarter of a kilogram in grams? 250 What is 21642.75m in millimeters? 21642750 Convert 65200.03 nanograms to tonnes. 0.00000000006520003 What is 1/5 of a millennium in months? 2400 What is eleven halves of a litre in millilitres? 5500 How many micrograms are there in 6/25 of a milligram? 240 How many kilograms are there in 4327.133 nanograms? 0.000000004327133 How many grams are there in 562.4943 kilograms? 562494.3 How many micrometers are there in one tenth of a millimeter? 100 What is 0.8830419 minutes in milliseconds? 52982.514 How many millimeters are there in one twentieth of a kilometer? 50000 How many minutes are there in twenty-three thirds of a week? 77280 What is 49/5 of a minute in seconds? 588 Convert 512.1814 litres to millilitres. 512181.4 What is 4/21 of a week in minutes? 1920 Convert 10.52995 litres to millilitres. 10529.95 Convert 0.5271379t to milligrams. 527137900 What is 18/5 of a millennium in centuries? 36 How many litres are there in 6.444647 millilitres? 0.006444647 What is 25/2 of a year in months? 150 How many milligrams are there in 9/10 of a gram? 900 How many millilitres are there in 17/4 of a litre? 4250 How many millilitres are there in 57.09059l? 57090.59 How many micrograms are there in 3/25 of a milligram? 120 How many centimeters are there in 3/5 of a kilometer? 60000 What is 1/4 of a micrometer in nanometers? 250 What is 786004.5s in milliseconds? 786004500 What is 0.5883006 millilitres in litres? 0.0005883006 How many minutes are there in 172.10922ns? 0.000000002868487 What is 5659.409 decades in years? 56594.09 Convert 2253.297 hours to minutes. 135197.82 What is 17/2 of a milligram in micrograms? 8500 Convert 5.606269l to millilitres. 5606.269 What is 3/10 of a litre in millilitres? 300 How many millilitres are there in 0.6280504 litres? 628.0504 What is 3.978784cm in kilometers? 0.00003978784 How many minutes are there in five quarters of a week? 12600 What is 45/8 of a millimeter in micrometers? 5625 How many millilitres are there in 1/20 of a litre? 50 How many millilitres are there in 51/8 of a litre? 6375 Convert 9.101973um to nanometers. 9101.973 What is 21/4 of a milligram in micrograms? 5250 How many micrometers are there in 12/25 of a millimeter? 480 Convert 4511.539 kilograms to micrograms. 4511539000000 Convert 78618.6 weeks to microseconds. 47548529280000000 How many months are there in 70424.31 decades? 8450917.2 What is 8065.333 millennia in centuries? 80653.33 How many millilitres are there in 3/8 of a litre? 375 How many days are there in 733.67694s? 0.00849163125 How ma
{ "pile_set_name": "DM Mathematics" }
tor of y and 58/3. 6 Let p be (4/(-8))/(3/12810). Let x = -11 + 18. Calculate the common denominator of (-2)/x - p/784 and -37/2. 16 Let r be (-1)/(8/14276*6). Let u = -299 - r. Find the common denominator of u and (1 - -1) + 109/(-22). 132 Let o = -439 - -115. What is the common denominator of -133/54 and (o/120)/((-4)/10)? 108 Let l be (-4)/6*(-57)/(-4)*-2. Let r = 4 + -1. What is the smallest common multiple of -7 + l - (r - 1) and 7? 70 Suppose 0*f + 66 = 3*f. Let w = f - 17. Calculate the least common multiple of w and 7. 35 Let c = 10412/591 - 14058439762/797977065. Let r = -14375739097/5400860 + c. Let b = -2638 - r. Calculate the common denominator of -6/5 and b. 20 Suppose 14*f - 54 = 2. Suppose 3*y + 0*h = 3*h + 57, 5*h + 31 = y. Calculate the lowest common multiple of y and f. 16 Let m = 113254271803/78846874064 + -1245/2617063. Let c = 3/1883 + m. What is the common denominator of c and 582/(-8)*10/(-75)? 80 Let i = -26/253 + 6885/10373. Calculate the common denominator of i and 53/11. 451 Let t be (252/(-54))/(5/(-3) + 1). Let k(j) = 3*j - 9. Let b(u) = -u + 5. Let r(m) = 5*b(m) + 2*k(m). Calculate the smallest common multiple of 14 and r(t). 14 Let l = 2407/141 - 19/47. Let d be (-4)/22 - (-39)/33. Calculate the common denominator of (d/2)/((-1)/(-91)) and l. 6 Let i(c) = -c + 4. Suppose 6*j - 4*j = 6. Suppose j*a - 70 = -k, -13 = -3*k - 1. Calculate the smallest common multiple of a and i(-6). 110 Suppose -7*m = -3*m + 12, -c + 5*m + 48 = 0. What is the least common multiple of c and 117? 1287 What is the common denominator of 137/2470 and 0 - (-2)/(-23) - (-46100)/6440? 17290 Suppose -12*r = -15*r + 2*z + 304, -z = 3*r - 298. Calculate the lowest common multiple of 4 and r. 100 Let k = 2767/7 + -393. Calculate the common denominator of k and -1/10. 70 Let d = -38294/11 + 3477. Let m be 2/2 + (-236)/14. Let s = m + 242/21. Find the common denominator of s and d. 33 Let w be 224/42 - 1/3. Suppose -w*f = 5, 2*j + j = -2*f - 77. What is the least common multiple of 4 and (j/(-15) + -2)*-24? 8 Find the common denominator of 6 - (-6 + 3 + (-2720)/(-275)) and 3/154. 770 Let m = -71966/32505 + -28/985. Find the common denominator of m and 20/3 + (-2)/(-4). 66 Find the common denominator of -29/33 and (5862/378 - 2/7)/(-2). 198 Let v = 1/31 - -59/93. Calculate the common denominator of v and (-10)/35*(-1 - -19). 21 Let h be 4/10 - 144/(-40). Suppose -4*t = h - 0, 0 = -2*d - 4*t. Suppose 18 = x - 0. What is the lowest common multiple of x and d? 18 Let y(t) = t - 3. Let l be y(9). What is the common denominator of 1*(3 - 465/18) and 104/l*6/76? 114 Calculate the common denominator of (-318)/2160 + 1/(-5) and 95/56. 504 Let v = 1219 + -3584/3. What is the common denominator of v and -46/67? 201 Calculate the common denominator of 37/36 and 1533/6*(-18)/(-252) + -7. 36 Let u = -167 + 183. What is the least common multiple of ((-7)/(-1))/((-1)/(-8)) and u? 112 Let y be (11/(-66))/(3274/(-3)). Let o = 107225/9822 - y. Calculate the common denominator of -1 - 94*(-2)/(-80) and o. 60 Let d(c) = -c**3 - 79*c**2 - 162*c - 496. Calculate the smallest common multiple of d(-77) and 9. 360 Suppose -5*n + s + 5807 = 0, 4*n - s - 580 = 4066. Let l be (-2)/14 + n/8001. Let y = -22217/3556 - l. What is the common denominator of y and 53/6? 12 Let l = 1651/280 + 43/35. Suppose -2*s + 2*u - 44 = s, -3*s - 2*u = 28. Let h = -23/2 - s. Find the common denominator of h and l. 8 Let a be (-32664)/3708*(-4)/30*-9. Let r = -3/103 + a. Calculate the common denominator of 20/79 and r. 395 Let c(m) = -m**2 - 29*m + 63. Calculate the lowest common multiple of c(-31) and 216. 216 Suppose -p - 2*p = -6. Suppose 4 = -0*h + p*h. Calculate the smallest common multiple of 36/30*(-5)/(-3) and h. 2 Let b(j) = -318*j - 8. Let r be b(-6). Suppose -3*c - 29741 = r. Let k = -126661/12 - c. Find the common denominator of -13/4 and k. 12 Suppose 3*d - 4*n = -6 + 28, -n - 31 = -5*d. Suppose 7*c - 64 = 3*c. What is the least common multiple of c and d? 48 Let v be ((-410260)/(-198))/(8292/9*-1). Let o = -9/1382 - v. Find the common denominator of 65/27 and o. 297 Suppose 2*q - 15 = -3*q. Let c be -1*((-2)/(-6) - 12/(-18)). Let x = 0 - c. What is the smallest common multiple of x and q? 3 What is the common denominator of 5/18 and (-4)/6 - (-1820)/(-1512)? 54 Let w = 71461/24 - 2979. Calculate the common denominator of w and -27/23. 552 Let b = 24 - 10. Let y = -1 - -3. Suppose -3*k - 2*k + 27 = 3*h, 2*k = y*h - 34. Calculate the least common multiple of b and h. 14 Calculate the smallest common multiple of 6*(-21)/(-63)*(6 + -3) and 8/6*(1 - -14). 60 Find the common denominator of -67/30 and (-29)/48 + 27/(-54). 240 Let h be (3678/18)/((-132)/9)*-318. Let q = 4429 - h. Let c = -37157/6 - -6216. Find the common denominator of q and c. 66 Let l(v) = -15*v + 290. What is the smallest common multiple of l(10) and 168? 840 Let n be ((-10)/30)/((-1)/9). Suppose 25 = v + n*k, -2*v - 2*k + 45 = 3*k. Calculate the smallest common multiple of 1 and v. 10 Suppose 3*k - 48 - 42 = 0. Find the common denominator of (-6)/(-33) + 718/(-198) and 790/(-28) - k/105. 18 Let m = 25981/34 + -766. Calculate the common denominator of 6/40*(-2460)/144 and m. 272 Suppose 3*l + 2*v - 160 = -2*l, -87 = -3*l - 3*v. Let k = -30 + l. Calculate the least common multiple of k and 5. 20 Suppose 5*k + 3*v + 14924 + 2721 = 0, -3*k - 10583 = v. Let c = -49267/14 - k. Let d = 2/1675 - -71997/23450. Calculate the common denominator of d and c. 14 Suppose -3*a + 0*a - 4 = -4*m, 5*m = -2*a + 28. Find the common denominator of (99/(-5))/3 - 2 and (-3)/1 - (-98)/m. 10 What is the lowest common multiple of 48 and (-6)/(8 + -5)*(-1 + -14)? 240 Let k be (3/2)/(-1*(-1)/6). Let w = 7 + k. What is the lowest common multiple of w and 12? 48 Let u = 6061 - 48585/8. Calculate the common denominator of u and -29/151. 1208 Let w = -1813/51370 + -1/934. Calculate the common denominator of 91/300 and w. 3300 Let d(l) be the second derivative of -2*l + 7/2*l**2 + 1/6*l**3 + 0. Calculate the least common multiple of 8 and d(5). 24 Let g = -974581/370 - -2634. Let o = 5084/1295 - g. Calculate the common denominator of 53/6 and o. 42 Let w(u) = 27*u**2 - 10*u - 5. Let p be w(2). Let v = p - 76. Suppose 3*c - c - 22 = 0. What is the smallest common multiple of v and c? 77 Let v = -1255/144 + -5/144. Let w = v + -55/12. What is the common denominator of w and 8/5? 15 Let z = -6/2297 + 94249/27564. Let h = -16802/11037 - -68/283. Find the common denominator of z and h. 156 Let h = -31158 - -18166. Let w be (h/(-10))/((-7)/(-35)). Let v = w - 104027/16. What is the common denominator of -37/10 and v? 80 Suppose n - 2*x + 5*x - 25 = 0, 2*x = -5*n + 60. Let k = -8 + 14. Calculate the least common multiple of n and 4 - (2 - 0 - k). 40 Let v(b) = -4*b + 6 - 5 - 5 + 2*b. Let n be v(-4). Suppose -3*y = y - n. Calculate the least common multiple of 1 and y. 1 Let w = -4 - -13. Let z(s) = s**2 - 6*s + 9. Let b = 24 + -18. Calculate the least common multiple of z(b) and w. 9 Let o = 2487 - 2037. Calculate the lowest common multiple of o and 50. 450 Suppose -55 + 5 = -5*k. Calculate the smallest common multiple of 38 and k. 190 Let s = 191507/1540 - 1739/14. Calculate the common denominator of 119/220 and s. 220 Let g = 104713321/16133624 - -1/155131. Let b = g + -34/13. Find the common denominator of b and 8/3. 24 Let n be 2/(-10)*(-30)/(-18856). Let v = n + -46547/11785. Find the common denominator of v and -13/18. 180 Suppose 3*b + 661 = 4*i, b = -i + 2*i - 166. What is the lowest common multiple of i and 6? 978 Let n be (-47229)/10*140/(-45). Let t = 14688 - n. Find the common denominator of -53/12 and t. 60 Suppose 20*v + 28 = 768. Calculate the least common multiple of 1 and v. 37 Suppose -5*w + 5*l = -15, 3 = 3*w - 2*l - 2. What is the least common multiple of 9 and 9 - (w - -2)*-1? 90 Find the common denominator of (-2)/(-7)*(-10185)/4140 and -69/14. 966 What is the lowest common multiple of ((-20)/(-35))/(6/21) and 290? 290 Let q(p) = -1. Let v(u) = u. Let x(j) = 4*q(j) + v(j). Let c be x(2). Find the common denominator of -71/10 and c*2*(-109)/24. 30 Let g be 3 + 1 + -2 - (-3 - -2). Find the common denominator of 46/5 and (g/(12/25))/(6/(
{ "pile_set_name": "DM Mathematics" }
= -637.55 - -14.55. Let f = -623.000682 - b. Round f to five dps. -0.00068 Let r = -233 + -147. Let g = r - -179. Let v = 80 + g. Round v to the nearest ten. -120 Let o = 68.7 - 160.6. Let n = o + 91.899999731. What is n rounded to seven dps? -0.0000003 Let v = 14397.99959905 + -14398. What is v rounded to 5 dps? -0.0004 Suppose 0 = 4*j + 3*w + 22678806, -52*w - 28348496 = 5*j - 54*w. What is j rounded to the nearest one hundred thousand? -5700000 Let r = -2713.26 - 280.64. Round r to the nearest one hundred. -3000 Let f = 0.066223 - 57.848223. Round f to zero dps. -58 Let c = 42078 + -2030. Let q(n) = -n**3 + 4*n**2 + n - 4. Let m be q(4). Suppose -1 = -2*u + u, 5*j + 2*u + c = m. Round j to the nearest 1000. -8000 Suppose 826 = -6*q + 20*q. Suppose -58*p = -q*p - 33200000. Round p to the nearest 1000000. -33000000 Suppose 4154614 = -88*k - 14171386. Round k to the nearest ten thousand. -210000 Let c = 1079.5 + 19.5. Let v = c - 1098.99999289. Round v to 6 dps. 0.000007 Let x = 1804112737 + -1804112745.72000521. Let l = 8.72 + x. Round l to 6 decimal places. -0.000005 Let k = 14334 - 7997. What is k rounded to the nearest 1000? 6000 Let r = -148137 + 148137.000060807. Round r to seven dps. 0.0000608 Let o(i) = 4883*i + 159. Let r be o(29). Let g = 76866 - r. What is g rounded to the nearest one thousand? -65000 Let d = 3.954 - 3.943618. Round d to three decimal places. 0.01 Suppose 27*w - 24180305 = 24*w - 5*n, 2*w - 5*n = 16120195. What is w rounded to the nearest one million? 8000000 Let w = 133 + -1133. Let i = 1012.89 + w. Let n = 13.413 - i. What is n rounded to two dps? 0.52 Let f = 172.5 - -738.5. Let o = f + -910.99489. What is o rounded to four dps? 0.0051 Let j = -20651496 + 1976496. Round j to the nearest one million. -19000000 Suppose 5*l - l = -2*k + 16, 0 = 4*k - 4*l - 68. Let x be 68817058/203 - 4/k. What is x rounded to the nearest 10000? 340000 Let x(d) = 457*d - 3546. Let k be x(-19). What is k rounded to the nearest one thousand? -12000 Let x(d) = -d**2 - 8*d - 10. Let i be x(-4). Suppose -i*r = -5*r - 1234. Suppose -4*n + 4*k = 1220, -4*n - 3*k - r = -0*k. Round n to the nearest 100. -300 Suppose 3*b - 41 = 10. Let m be -1108397*131 + b + -10. What is m rounded to the nearest 1000000? -145000000 Let s = -552.5143 + 558.672214. Let n = 1.057879 - s. Let p = -5.1 - n. Round p to six decimal places. 0.000035 Let x be ((11145/(-9))/(-5))/(6/(-504)). What is x rounded to the nearest one thousand? -21000 Let k = -30369.4811 + 30375. What is k rounded to 2 decimal places? 5.52 Let b(v) = 18246602*v**3 + 135*v - 137. Let i be b(1). Round i to the nearest one million. 18000000 Let f = 7781.32 - 7412. Round f to the nearest ten. 370 Suppose 8 = -2*u, 3*u = -3*y - y - 56. Let q = y + 6. Let n be q/((-25)/(-10)) - -63. What is n rounded to the nearest ten? 60 Let j = 101 + 187. Let t = -288.16 + j. Round t to 2 decimal places. -0.16 Suppose t - 2 = -59. Let d = t - -355. Suppose -5*f + d + 162 = 0. Round f to the nearest 10. 90 Suppose 52*z + 15*z = 91*z + 737400. Round z to the nearest 100. -30700 Let h = -505253.5994 - -505341. Let z = -4.4526 + h. Let u = z + -83. What is u rounded to two decimal places? -0.05 Let d = 2.3471 + 0.2025. Let f = d + -2.5. What is f rounded to 2 dps? 0.05 Let i(q) = -53*q**3 - 5*q**2 + 11*q - 26. Let z be i(4). Let f = z + 5003. What is f rounded to the nearest one hundred? 1500 Let t = -7.9758959249 + 191.9758970169. Let i = t - 184. What is i rounded to 7 dps? 0.0000011 Let i = -284 - -283.77064. Round i to three decimal places. -0.229 Let p = 0.0116 - 9.0116. Let z = 5228 - 5237.002. Let f = z - p. What is f rounded to 3 dps? -0.002 Let s = 1218.000017268 + -1218. Round s to 7 dps. 0.0000173 Let y = 8832.79958387 - 8832.8. Round y to 4 decimal places. -0.0004 Let d = -0.11 - 37.09. Let x = -40 - d. Let k = x + 2.91. What is k rounded to 2 decimal places? 0.11 Suppose o + 4 = 0, -d + 15344 = -44*o + 48*o. What is d rounded to the nearest 100? 15400 Suppose -2*i + 4*l + 1128016 = 0, 6*l - 11*l - 2256020 = -4*i. Round i to the nearest ten thousand. 560000 Let l(n) = -48*n - 142. Let g be l(-47). Let y = -3219 + g. Round y to the nearest one hundred. -1100 Let b = -17973 - 98207. What is b rounded to the nearest ten thousand? -120000 Let m = 716.8 - 63.8. Let d = -12 + m. Let l = -641.00000261 + d. What is l rounded to 7 dps? -0.0000026 Let t = -90 + 89.937. Let f = t - -0.001. Let l = f + 0.06199973. What is l rounded to 7 decimal places? -0.0000003 Let m = 754 + -952. Let y = -23987752855 + 23987752656.99999842. Let n = y - m. Round n to 7 dps. -0.0000016 Let w(p) = 310*p - 30. Suppose -5*h = 3*i + 243, -i - 3*h - 81 = -5*h. Let x = -87 - i. Let s be w(x). Round s to the nearest 1000. -2000 Let b = 1209280139 + -1209280306.99998415. Let j = -168 - b. Round j to 6 dps. -0.000016 Let a = 241 - 276.3. Let s = a + 27. Round s to 0 dps. -8 Let u = -1.4289 - 11.4571. Round u to the nearest integer. -13 Suppose 0 = -14*c - 419 + 1553. Suppose -4890 = c*b - 78*b. Round b to the nearest one thousand. -2000 Let u = 6207.000001582 + -6207. Round u to 6 decimal places. 0.000002 Suppose 36390494 = -72*a + 77*a + p, -5*a - 5*p = -36390470. What is a rounded to the nearest 1000000? 7000000 Suppose 3*o - 2*x = 0, 5*o - 23 = o - 5*x. Let z(i) = 1569*i**3 - 4*i**2 + 6*i - 8. Let s be z(o). What is s rounded to the nearest one hundred? 12500 Let t = -14470.15522 - -14470. Round t to two dps. -0.16 Let m = 1527.5420876 + -1107.542092. Let h = -420 + m. What is h rounded to 6 dps? -0.000004 Let k = -751 - -229. Let h = k + 521.99312. Round h to three dps. -0.007 Let n = 51.8 - 1.8. Let x = -46 - n. Let t = 96.00096 + x. What is t rounded to 4 dps? 0.001 Let w = -4556.17 + 4890. Round w to the nearest ten. 330 Let c = -95.925 + 96. Let k = -17800.3 + 17800.225113. Let u = k + c. What is u rounded to five decimal places? 0.00011 Let j = -1675 + 1674.999988372. Round j to seven dps. -0.0000116 Let x = 0.12015 + 0.88385. Round x to one dp. 1 Let i = 169222827.000782 - 169222645. Let t = 182 - i. What is t rounded to 5 dps? -0.00078 Let q = 1.939 + 0.061. Let t = 208.2 + -206.263. Let z = q - t. What is z rounded to two decimal places? 0.06 Let w be (-23)/2530*-22 - (2 + 2013518/(-10)). Round w to the nearest 10000. 200000 Let r = 6912 + -6912.05223. Round r to two dps. -0.05 Let w(u) = 1801*u**2 - 6*u + 4. Let o be w(3). Suppose -23*i + 19*i - 41980 = 0. Let r = i + o. Round r to the nearest 1000. 6000 Let f = -0.0506 + 0.050675. What is f rounded to 4 dps? 0.0001 Let w = 773.79922 - -0.00078. Round w to the nearest 10. 770 Let n = 203 + 50. Let s = 252.9388 - n. What is s rounded to two dps? -0.06 Let l(d) = -d**2 + 3*d - 310000. Let a = -16 - -12. Let j be 0/(((-2)/a)/(9/18)). Let q be l(j). Round q to the nearest one hundred thousand. -300000 Let x = -3950.800009006 - -3950.8. Round x to seven dps. -0.000009 Let z be (-65)/26*39504/(-40). Round z to the nearest one thousand. 2000 Let t = 71.832 - 71.83165541. What is t rounded to 5 dps? 0.00034 Suppose -4 = -u, 0 = 4*m - u + 3*u + 116361752. Let a = m + 43220440. Round a to the nearest one million. 14000000 Let m = 1471339165.0900001672 - 1471339166. Let f = m - -0.91. Round f to 7 decimal places. 0.0000002 Let s = 3893.33 + -3912. Round s to the nearest integer. -19 Let v be 40/(-12) - (-2)/(-3). Let i(w) = 5174*w**2 - 3*w - 1. Let g be i(v). Let s = g + -5795. What is s rounded to the nearest 10000? 80000 Let n = 36 - 28. Suppose -11*x + 945006 = -n*x. Suppose -a - 2*g = -0*a - 63002, 5*a - x = -2*g. What is a rounded to the nearest 10000? 60000 Let s = 38898 + -38898.97316. What is s rounded to one decimal place? -1 Suppose -8 - 7 = 5*x, -2*x = 2*d - 918399994. Suppose -2*c = -16*c - d. Round c to the nearest 1000000. -33000000 Let b = -3020.8 - 2187.6. Round b to the nearest 1000. -5000 Let w = 27.00024965 + -27. What is w rounded to 6 decimal places? 0.00025 Let b = -132 + 324. Let o = b - 192.000435. What is o rounded to four dps? -0.0004 Let m = -6.129 + 6.128995847. Round m to seven decimal places. -0.0000042 Let d(g) = 7991*g**2 - 19*g + 36. Let n be d(13). Let j = -2000268 + n. What is j rounded to the nearest one million? -1000000 Let d = 0.0313 - -13.0047
{ "pile_set_name": "DM Mathematics" }
ce oofu when four letters picked without replacement from {o: 3, r: 5, q: 5, u: 5, f: 1}. 5/15504 What is prob of sequence kvq when three letters picked without replacement from {v: 1, a: 1, e: 2, i: 1, k: 2, q: 1}? 1/168 What is prob of sequence zf when two letters picked without replacement from {f: 2, z: 7}? 7/36 Calculate prob of sequence un when two letters picked without replacement from nvgxhhvhvnnhvuv. 1/70 What is prob of sequence kv when two letters picked without replacement from kkvvvvvvvvkvvvvvvvvk? 16/95 Calculate prob of sequence lmm when three letters picked without replacement from {l: 5, m: 6, y: 6, b: 1}. 25/816 Three letters picked without replacement from kkkkkkhk. Give prob of sequence kkh. 1/8 Four letters picked without replacement from yyyywywwyyyyyw. Give prob of sequence ywwy. 45/1001 What is prob of sequence qqiq when four letters picked without replacement from {i: 1, q: 3}? 1/4 What is prob of sequence glg when three letters picked without replacement from lgg? 1/3 Four letters picked without replacement from lwurllt. Give prob of sequence urtr. 0 Three letters picked without replacement from {e: 3, s: 4, y: 5}. Give prob of sequence yee. 1/44 Two letters picked without replacement from ptqqapkxpkatqa. Give prob of sequence qk. 3/91 Calculate prob of sequence jixw when four letters picked without replacement from {x: 2, l: 1, w: 2, j: 1, i: 1, r: 1}. 1/420 What is prob of sequence ttzx when four letters picked without replacement from {t: 2, z: 1, u: 1, x: 1}? 1/60 Calculate prob of sequence uak when three letters picked without replacement from {y: 1, a: 1, x: 1, u: 1, k: 1}. 1/60 Four letters picked without replacement from mhcqzzccohcq. Give prob of sequence zhzq. 1/1485 Calculate prob of sequence xz when two letters picked without replacement from {d: 1, m: 1, h: 9, z: 5, x: 2}. 5/153 What is prob of sequence dv when two letters picked without replacement from dvv? 1/3 Two letters picked without replacement from hkkkkkkkhhhh. What is prob of sequence kh? 35/132 Four letters picked without replacement from babnnbnnnzznnrnanan. What is prob of sequence nzrz? 5/23256 Four letters picked without replacement from oooooooodoooo. Give prob of sequence odoo. 1/13 Two letters picked without replacement from bbbbbbbbbbbxxbbbbb. What is prob of sequence xx? 1/153 What is prob of sequence yj when two letters picked without replacement from {y: 2, j: 11}? 11/78 Four letters picked without replacement from ifhihdhffifiyififdi. Give prob of sequence hiyh. 7/15504 What is prob of sequence wyyy when four letters picked without replacement from {w: 4, y: 16}? 112/969 Four letters picked without replacement from {x: 2, f: 1, e: 11}. Give prob of sequence xfef. 0 What is prob of sequence bbaq when four letters picked without replacement from qdqbbodaqosooab? 1/910 Calculate prob of sequence ooo when three letters picked without replacement from {o: 6, s: 12}. 5/204 Two letters picked without replacement from {g: 6, c: 1, l: 3, j: 2, i: 4}. Give prob of sequence il. 1/20 Two letters picked without replacement from wwccwtcctww. Give prob of sequence cc. 6/55 Three letters picked without replacement from {k: 6, r: 7, p: 2}. What is prob of sequence kkp? 2/91 What is prob of sequence kbt when three letters picked without replacement from {c: 1, k: 3, b: 9, i: 1, t: 4}? 3/136 What is prob of sequence sp when two letters picked without replacement from {s: 2, p: 2, l: 3, m: 7, v: 1, h: 3}? 2/153 Two letters picked without replacement from {d: 7, a: 2, n: 10, y: 1}. Give prob of sequence na. 1/19 Two letters picked without replacement from quh. Give prob of sequence uh. 1/6 Calculate prob of sequence cnpx when four letters picked without replacement from {d: 3, c: 2, p: 2, n: 1, x: 2, v: 2}. 1/1485 Three letters picked without replacement from ttttgttutxujuj. What is prob of sequence tgu? 1/104 What is prob of sequence ini when three letters picked without replacement from viniinvi? 1/14 Two letters picked without replacement from asapspppj. Give prob of sequence sj. 1/36 Four letters picked without replacement from eaeuauaauuaa. Give prob of sequence aaau. 4/99 What is prob of sequence rra when three letters picked without replacement from rrcwcrcacccrc? 1/143 What is prob of sequence hhm when three letters picked without replacement from {p: 3, h: 3, m: 2, k: 6, d: 2}? 1/280 What is prob of sequence em when two letters picked without replacement from emeeeemmeeemeemeee? 65/306 Four letters picked without replacement from {l: 2, q: 5}. What is prob of sequence qlql? 1/21 Two letters picked without replacement from hcshchhhhhhhchshshh. What is prob of sequence cs? 1/38 What is prob of sequence pfh when three letters picked without replacement from hhpphhhfpphphhhhhh? 5/408 Two letters picked without replacement from qalaqqq. What is prob of sequence ll? 0 Calculate prob of sequence iip when three letters picked without replacement from {o: 2, i: 3, q: 4, p: 4, x: 1}. 1/91 What is prob of sequence bv when two letters picked without replacement from {a: 2, n: 5, v: 1, r: 3, b: 1}? 1/132 Two letters picked without replacement from {m: 7}. What is prob of sequence mm? 1 Three letters picked without replacement from gzbug. What is prob of sequence gub? 1/30 Two letters picked without replacement from {s: 1, p: 4, m: 1, b: 2, d: 2}. Give prob of sequence bp. 4/45 What is prob of sequence wwkk when four letters picked without replacement from {w: 4, y: 2, k: 6}? 1/33 Calculate prob of sequence nqg when three letters picked without replacement from {n: 4, q: 1, k: 4, g: 1, t: 2, x: 6}. 1/1224 Two letters picked without replacement from rzrkzzkxx. What is prob of sequence kk? 1/36 Three letters picked without replacement from nqcnnnncc. Give prob of sequence qcn. 5/168 What is prob of sequence urp when three letters picked without replacement from {p: 1, b: 1, s: 5, r: 2, u: 2, v: 5}? 1/840 Three letters picked without replacement from {u: 3, e: 1, x: 2, l: 1}. What is prob of sequence xuu? 2/35 Two letters picked without replacement from {i: 1, p: 1, o: 1}. What is prob of sequence pi? 1/6 Two letters picked without replacement from {u: 3, y: 7}. What is prob of sequence uy? 7/30 Four letters picked without replacement from lbblbklltlltlltk. Give prob of sequence lktb. 3/910 What is prob of sequence de when two letters picked without replacement from {z: 3, e: 1, d: 1}? 1/20 Calculate prob of sequence bk when two letters picked without replacement from yyyyyyyyyyybkyyyyyy. 1/342 What is prob of sequence ttf when three letters picked without replacement from {t: 9, f: 3}? 9/55 Four letters picked without replacement from {y: 6, h: 1, t: 7, v: 4}. What is prob of sequence yvvv? 1/510 Calculate prob of sequence yfw when three letters picked without replacement from {w: 1, x: 4, f: 1, b: 2, y: 2}. 1/360 What is prob of sequence dd when two letters picked without replacement from {f: 3, d: 2, i: 1, o: 1, r: 3, t: 1}? 1/55 Two letters picked without replacement from {b: 2, o: 1, c: 4, s: 1}. Give prob of sequence oc. 1/14 Calculate prob of sequence gwwg when four letters picked without replacement from gwwwwgwwwwwwwwwgwwwg. 8/323 Calculate prob of sequence yv when two letters picked without replacement from {c: 3, v: 12, y: 1}. 1/20 Calculate prob of sequence zz when two letters picked without replacement from {z: 3, g: 4, d: 2, t: 1}. 1/15 Three letters picked without replacement from {a: 1, e: 2}. Give prob of sequence eae. 1/3 Calculate prob of sequence bky when three letters picked without replacement from kbyk. 1/12 Two letters picked without replacement from {n: 7, g: 7, w: 2, z: 2}. Give prob of sequence wn. 7/153 Calculate prob of sequence zzz when three letters picked without replacement from {z: 7, o: 2, v: 4}. 35/286 What is prob of sequence slf when three letters picked without replacement from {l: 2, u: 2, s: 3, x: 4, f: 1}? 1/220 Four letters picked without replacement from {u: 2, r: 1, l: 1, k: 1, t: 1, p: 1}. What is prob of sequence ktpl? 1/840 Two letters picked without replacement from {v: 4, q: 1, o: 1, n: 2, t: 3, p: 1}. Give prob of sequence tv. 1/11 Four letters picked without replacement from {f: 3, j: 3, k: 7, s: 7}. Giv
{ "pile_set_name": "DM Mathematics" }
*b = 5*b - 8 for u. 3 Solve -2 = o + 2*j, -2*o + 43 = -j + 47 for o. -2 Solve -26 + 16 = 3*u - p, -u = -4*p - 15 for u. -5 Solve 4*d - 3*b + 2 = -2, -2*b + 12 = 2*d for d. 2 Solve 2*t - b = -0 + 2, 4*t + 2*b = 4 for t. 1 Solve 4 = 2*c + 4*o, 5*c + o = -o - 14 for c. -4 Solve -5*l = -31*p + 32*p + 15, 5*p = -3*l - 31 for l. -2 Solve -7 = 13*g - 15*g - 3*v, 0 = -4*g - 4*v + 4 for g. -4 Solve 0 = -4*a - 5*z - 8, -3*a - z - 6 = 4*z for a. -2 Solve 5*x = -3*a - 6, -5*a + 12 - 22 = 4*x for a. -2 Solve 31 = -2*u + 5*k, 4*k - 25 = 3*u + 4 for u. -3 Solve 5*i + 5 = 5*r - 2*r, -2*i = 7*r + 2 for i. -1 Solve 2*s = -4*u - 6 - 10, -14 = 5*s - 3*u for s. -4 Solve 0 = -2*m - 3*c - 7, 28 + 2 = -6*c for m. 4 Solve o = 2*m, 0*o + 5*m = -3*o for o. 0 Solve 5*d = -5*o + 50, -2*d = -3*d + o for d. 5 Solve -19 - 1 = y + 4*z, 20 = 3*y - 4*z for y. 0 Solve 185 = 5*d + 5*f + 155, 5*d - 2*f - 2 = 0 for d. 2 Solve 4*g = 5*h + 5*g + 10, 12 = 3*h - 3*g for h. -1 Solve -5*q = -5*l - 15, -10 = 5*q - 3*l - 29 for q. 5 Solve -16*d = -12*d + 8, -2*z + 3*d = -2 for z. -2 Solve 3*r + 5 = -w, -4*r + w = -5 + 14 for r. -2 Solve -5*c + 3*p + 1 = 12, -p = 3 for c. -4 Solve 2*r - 16 = -0*r - 4*z, -27 = r - 5*z for r. -2 Solve 3*w - 5*l - 33 = -24, -w + 3*l + 7 = 0 for w. -2 Solve h = -2*c - 4, 3*c - 12*h + 6 = -8*h for c. -2 Solve -2*d - 12 = 2*x - 0*x, 0 = -4*x - 3*d - 22 for x. -4 Solve -10*r + 6*r + a + 16 = 0, 0 = -2*a for r. 4 Solve -20 = 5*h - 5*o - 5, -h - 3 = 3*o for h. -3 Solve -3*z = 13*l - 14*l - 12, 0 = 4*l + 12 for z. 3 Solve -2 = -h - 2*a + 1, 4*a = -4*h for h. -3 Solve d - 4*a - 2 = 4*d, -2*d - 5*a = -1 for d. -2 Solve 0 = 3*h + 5*g + 23, -5*h + 3*g - 6*g - 17 = 0 for h. -1 Solve 0 = 2*b - 0*o - 3*o + 25, 0 = -b - 3*o + 10 for b. -5 Solve 8*q = 5*p - 46, -2*p = q - 5*q - 20 for p. 6 Solve -5*g = 5*n - 30, -15*g - 3*n - 2 = -16*g for g. 5 Solve 0 = 5*o - 0*s - 3*s + 26, 4*o + 4*s + 8 = 0 for o. -4 Solve 4*b = -3*c + 6*b, 0 = 5*c + 4*b + 22 for c. -2 Solve 3*r = -4*c - 26, 4*r + 11 = 5*c + 28 for c. -5 Solve 4*x - 18 = -2*b, -5*x - 7 - 2 = -8*b for b. 3 Solve 2*n - 7 + 3 = -3*b, 0 = -3*n + 4*b - 28 for n. -4 Solve 30 = -18*c + 22*c - 5*k, -3*c + 11 = 2*k for c. 5 Solve 13*h - 3*u + 4 = 5*h, 3*u = -4*h + 16 for h. 1 Solve -24 = 5*p - 2*k, -k + 4*k + 6 = -3*p for p. -4 Solve -4*v = -4*q - 4, q + 0*v = 2*v for q. -2 Solve -12 = 2*j, 6*g - 5*j - 15 = g for g. -3 Solve o = x + 5, 0*x - 19 = 3*x - 5*o for x. -3 Solve c + 5*j = -5, 0 - 6 = -2*c - 2*j for c. 5 Solve -c = -4*w + 7, -10*w + 5*c = -9*w + 22 for w. 3 Solve 3*m = 2*m - 2*x - 1, 0 = -3*m + 4*x + 17 for m. 3 Solve 4*v = -5*x + 11, x + 6 = -5*v + 4 for x. 3 Solve 0 = -5*y + 4*c - 18, 5*y = 3*c - 2*c - 12 for y. -2 Solve x - s = -1, -2*x + 5*s + 3 = -5*x for x. -1 Solve 5*a - x = -148 + 130, -5*x = 5*a for a. -3 Solve -53*n + 3 = 3*x - 50*n, 11 = x + 3*n for x. -4 Solve -4*b = -4*n - 28, b + 23 = 6*b - n for b. 4 Solve 3 = w - 11*k + 9*k, -4*w + 5*k = -12 for w. 3 Solve 2*m - m - 4 = -v, 3*v = m + 4 for v. 2 Solve -78*l + 73*l + 20 = 5*y, l - 2*y - 13 = 0 for l. 7 Solve -4*i - f = 0, -9 = -5*i + 18*f - 17*f for i. 1 Solve -3*o - 1 = -v, -2*v = 5*o - 6*v + 11 for o. 1 Solve -3*d = 4*i + 3 - 1, 2*d = 3*i + 10 for i. -2 Solve -24 = -0*u + 4*u + 2*i, -10 = 5*i for u. -5 Solve -3*z = 3*g - 8*g + 13, -2*g - 14 = 2*z for g. -1 Solve -8*z + 6*z = -2*v - 10, -4*v + 7 = 5*z for z. 3 Solve -5 = -4*i + 8*w - 11*w, -5*i - 2*w = -8 for i. 2 Solve 4*j + p - 13 = 0, 5*j - j = -2*p + 14 for j. 3 Solve 2*q - 4 = j, -j - 15 = -11 for q. 0 Solve 2*m = -2*p - 4, 0 = 18*m - 21*m - 9 for p. 1 Solve -3*y - 4*m = -0*y, -m = 0 for y. 0 Solve -4 = l - 3*d, d = -2*l + 5*d - 2 for l. 5 Solve -3*x + 16 = s - 0*s, -4*x + s = -19 for x. 5 Solve 3*v + 0 + 6 = -3*m, 5*v + 10 = 0 for m. 0 Solve -3*p - 2*u + 1 = -10, -4*u = 3*p - 19 for p. 1 Solve -3*s + 26 = 5*x, 0 = -4*x - 31*s + 36*s + 6 for x. 4 Solve 0 = 16*n - 20*n - 2*j + 14, -n + 5*j = 2 for n. 3 Solve -9*t + 4*t = -2*c + 35, 3*c = 5*t + 40 for c. 5 Solve -16*f + 1 = 3*k - 15*f, -5*k - f = -3 for k. 1 Solve 2*d - 4*m - 8 = 0, -11 = -5*d - 3*m - 30 for d. -2 Solve -n + 4*v = 5*v - 8, 0 = 5*v - 15 for n. 5 Solve -3*l = -2*q + 4 - 10, -4*l + 12 = -4*q for l. 0 Solve p + 18 = 4*u, -4*u = 2*p - 4 - 8 for u. 4 Solve -2*o + 4*l = 2*l + 10, 3*l = 4*o + 17 for o. -2 Solve -p = v - 5 - 0, -4*p = 2*v - 18 for v. 1 Solve -5*h - 9 = -6*h + 4*t, -2*h = -t - 11 for h. 5 Solve -q + 2*k + 12 = 2*q, 4*k + 12 = 0 for q. 2 Solve -o = -2*a, -a - 14 = -3*o - o for a. 2 Solve -2*l = 3*l - 3*w + 30, -w + 5 = 0 for l. -3 Solve -3 = 3*k - 12, 2*k = -4*a + 10 for a. 1 Solve r + v + 2 = 0, 2*r - 19*v + 11 = -14*v for r. -3 Solve -15 = 5*x - 2*x - 3*k, 5*x + 3*k = -9 for x. -3 Solve 4*t - 2*r + 18 = 4, 0 = -4*t + 3*r - 13 for t. -4 Solve 4*p - 2*l + 3 - 11 = 0, -4*l = -4*p + 4 for p. 3 Solve 0 = -4*n - n + 25, -15 = 4*b - 3*n for b. 0 Solve 0 = -q + 4*v - 16, -5*v + 6 = 2*q - 27 for q. 4 Solve r = -5*p - 13, 3*r + 304 = 2*p + 316 for r. 2 Solve 3*p - 3 = -3*m, -6*p + 2*m = -2*p - 28 for p. 5 Solve 0 = -3*a + 3*p + 12, a = -4*p + 6 - 17 for a. 1 Solve 0 = 5*n + 20, -5*n = -5*q - 6*n - 14 for q. -2 Solve 4 = 3*h + 2*x, 4*x - x - 23 = 4*h for h. -2 Solve y = -2*a + 3 + 4, -3*a + 9 = 0 for y. 1 Solve 0 = -4*t - 5*b - 9, 5*b + 21 = 4*t - 5*t for t. 4 Solve -3*y - 3*g + 6 = 0, -45*g + 12 = 3*y - 40*g for y. -1 Solve -p - 1 - 9 = y, -3*p - 40 = 5*y for y. -5 Solve 3 = 3*a - p, 3*p = 9*a - 8*a - 9 for a. 0 Solve 2*x - b + 0 = -4, -b - 4 = 0 for x. -4 Solve 2*l - 8 = -5*x + 2*x, 5*l = x + 3 for l. 1 Solve 107*n = -6*p + 102*n - 5, p + 25 = 4*n for p. -5 Solve 0 = -5*g - t - 8, -g + 14 = -48*t + 43*t for g. -1 Solve -3 + 2 = -b + 2*k, 0 = -5*b + 5*k + 15 for b. 5 Solve -h - 106*k + 105*k - 8 = 0, 2*h = -k - 11 for h. -3 Solve -5*f = 2*t + 23, -4*t - 2*f - 9 = -3*t for t. 1 Solve -m - 2*i - 2 - 2 = 0, 2*i - 2 = -4*m for m. 2 Solve 3*x + 4*h - 14 = 0, -4*h + 16 = 3*x - x for x. -2 Solve u = 0, -3*n + 0*u = 4*u + 6 for n. -2 Solve 10 = 5*p - 5*o, -p + 10 = 4*p - 4*o for p. 2 Solve 3*i + 10 = -5*p + 47, -5*i + 5*p - 5 = 0 for i. 4 Solve 2*y + 0*y + 12 = -4*x, 5*y = 2*x - 18 for y. -4 Solve -p + 3*f - 3 = 4*f, 4*p - 5*f = 15 for p. 0 Solve -5*g + 4*b = 5*b - 9, -2*b + 5 = -3*g for g. 1 Solve -t = 2*y - 10, -4*t + 3*y = 1 + 3 for t. 2 Solve -3*f = -3*h - 0*f + 9, -3*h = 3*f + 9 for h. 0 Solve -x + 3*s + 11 + 3 = 0, -3*s - 6 = 3*x for x. 2 Solve -2*o = -7*o - 2*m - 23, 29 = -5*o + 4*m for o. -5 Solve 0 = -y - 5*f - 5, 3*y + f = 4 + 9 for y. 5 Solve 4*y + 184*m = 182*m - 12, 4*m = 2*y + 26 for y. -5 Solve 2*o - o - 4*b = -25, -3*o + 3*b = 30 for o. -5 Solve -m - u + 5*u = -25, 3*m + 5*u = -10 for m. 5 Solve -u + 9 = 2*j - 2, 5*j - 25 = -2*u for u. 5 Solve -18 = -d - 6*b + 2*b, 5*b - 18 = d for d. 2 Solve s + 3*o - 18 = 0, 5*s + 5*o - 9 - 41 = 0 for s. 6 Solve 13 = j - 4*p, -1 + 3 = -2*j + p for j. -3 Solve 6*z - 8*z = 0, -5*z = 4*r + 16 for r. -4 Solve 0 = -2*j, 1 + 11 = -3*h + 3*j for h. -4 Solve -5*b - h + 28 = 0, -5*b + h = -4*b - 2 for b. 5 Solve -65*a + 17 = -68*a - 4*g, 0 = 2*a + g + 13 for a. -7 Solve d - 4*r = 25 - 0, 4*r + 5 = -3*d for d. 5 Solve 0 = 31*t - 26*t - 5*s + 45, 19 = -t + 3*s for t. -4 Solve 2*m + 4 = t, 5*m + 9 = -24*t + 27*t for t. -2 Solve -3*x - 9 = -5*r + 4*r, 2*r = -x - 10 for r. -3 Solve 5*n + 4*r + 9 = 0, n - 5*n - r = -6 for n. 3 Solve -z + 0*z = -5*u + 22, -u - 1 = -2*z for u. 5 Solve -5*m - 3 = c + 17, -4*c = 2*m + 8 for m. -4 Solve 3*l - 3*p + 15 = 0, 319*p = 2*l + 324*p - 32 for l. 1 Solve -5*h + 45 = 5*q, -43*h - 4*q + 16 = -44*h for h. 4 Solve v + 5 = 2*x, 142*v - 20 = x + 146*v for x. 0 Solve 5*u = 4*s - 21, -4*u = -s - 15 + 34 for s. -1 Solve 21*k - 23*k = -w + 15, -3*w - 5*k = 10 for w. 5 Solve 5 = h + 3*t, -61*h - 5*t = -59*h - 10 for h. 5 Solve 2*b + 2*k - 2 = 0, -2*k + 3*k = -2*b + 2 for b. 1 Solve -v - 4*z = 3, -v + 51 = 3*z + 52 for v. 5 Solve 3*f + 3*i - 19 = -4, 3*f - 3*i = -9 for f. 1 Solve 3*y - 4*x = -3*x + 2, -2*y = -5*x - 23 for y. -1 Solve 3*r - 18 = -3*t, -5*t - 24 = -4*r - 9 for t. 1 Solve 3 = 2*q - 5, 5*q - 20 = -5*t for t. 0 Solve 3*z = 3*y - 24, 6*y = 2*y + 12 for z. -5 Solve 2*k - 131 + 150 = -3*n, 2*n - 4*k - 14 = 0 for n. -3 Solve -2*v + 2 + 6 = k, v - 4*k + 14 = 0 for v. 2 Solve
{ "pile_set_name": "DM Mathematics" }
prime? True Is 50966147 composite? True Is 936528503 composite? True Is 283415399 prime? True Is 10043117053 a prime number? True Is 23647111451 composite? False Is 6852609199 a prime number? True Is 1326294479 a prime number? False Is 3050308081 composite? False Is 3187990621 a composite number? False Is 11856630593 a prime number? False Is 7503181901 a prime number? True Is 52179932191 composite? False Is 3768876607 prime? True Is 354733411 a prime number? False Is 77071795397 a prime number? True Is 1791087643 a composite number? True Is 62519879911 a composite number? True Is 504624539 a composite number? False Is 369860717 a prime number? True Is 30159255317 a prime number? True Is 1032824047 prime? True Is 16739140507 a prime number? False Is 2055916045 prime? False Is 6978870901 composite? False Is 19626043991 composite? False Is 24525336323 composite? True Is 698052919 prime? True Is 11120487173 a prime number? True Is 5903279893 composite? True Is 50833187729 a prime number? False Is 16254839369 composite? False Is 277853159 prime? True Is 6032576201 composite? True Is 32780338021 a composite number? False Is 2031335105 a composite number? True Is 1997221463 a prime number? False Is 114039164791 prime? False Is 653790001 composite? True Is 9643372835 composite? True Is 2087926537 a prime number? True Is 9242494097 a composite number? True Is 44395282 a prime number? False Is 20779697 a prime number? True Is 350559751 a composite number? True Is 3457404263 a prime number? False Is 1566018643 a prime number? False Is 25878150811 a prime number? False Is 16161684901 prime? True Is 39577568743 a prime number? False Is 219720383 a prime number? True Is 3630123377 composite? False Is 119609947 a composite number? False Is 9435110099 prime? False Is 111077455 composite? True Is 9189888469 composite? False Is 1307533967 a composite number? True Is 314121449 a prime number? True Is 23015075783 a composite number? True Is 1341889207 prime? False Is 6893406599 composite? False Is 11644616261 a composite number? False Is 8923027759 a composite number? True Is 301250323 a composite number? True Is 157553497 a prime number? True Is 19768913669 a composite number? True Is 3168581723 a prime number? False Is 2300993705 a composite number? True Is 1058674555 a prime number? False Is 408173489 composite? True Is 31491066422 prime? False Is 86311185001 a composite number? True Is 63490663 a composite number? False Is 6423074387 composite? False Is 186722912537 a prime number? False Is 9760273273 prime? False Is 2443270537 a composite number? False Is 2168101633 prime? False Is 3110692033 prime? False Is 645078047 composite? False Is 5709818539 a prime number? True Is 159987427 prime? False Is 262283194835 a composite number? True Is 527218453 composite? False Is 7772777893 prime? False Is 224531147 prime? True Is 499104961 a prime number? True Is 36911464717 prime? False Is 5852389889 prime? True Is 1803934859 a composite number? True Is 24457876411 prime? False Is 53606516591 a prime number? True Is 6114073393 composite? True Is 3328559671 composite? True Is 1975414211 composite? True Is 4471509517 prime? True Is 3336982111 composite? False Is 34976522453 a composite number? False Is 66013366821 a composite number? True Is 1894066073 a composite number? True Is 1978302871 prime? True Is 5404305847 prime? False Is 1049686237 composite? True Is 19836470881 composite? True Is 4527675293 prime? True Is 132517428389 a prime number? True Is 57324342389 a prime number? True Is 105578732807 a prime number? True Is 33003049613 a composite number? False Is 2371777817 a composite number? False Is 4220484511 a prime number? True Is 5989295953 a composite number? True Is 3473659291 composite? False Is 37974714991 a composite number? True Is 680061667 composite? False Is 5475964679 composite? True Is 61125962827 prime? True Is 2859065549 a composite number? True Is 38899588747 composite? True Is 4056438599 a prime number? False Is 540210391 a composite number? True Is 375393727 prime? False Is 16112788327 composite? True Is 4414858599 prime? False Is 29995790785 prime? False Is 1470520393 a prime number? False Is 63637073 a prime number? False Is 9371107351 composite? True Is 2201294954 a prime number? False Is 6317594029 prime? True Is 62117767169 prime? True Is 144214289 a composite number? False Is 202059073 a composite number? False Is 56190499 composite? True Is 104380386181 a prime number? False Is 218688013 composite? True Is 3781287065 prime? False Is 3429234121 prime? False Is 2992172683 a composite number? False Is 43473461 composite? False Is 11062201135 a prime number? False Is 6470061629 prime? False Is 75776436331 a prime number? False Is 803676589 a composite number? True Is 1385913871 a prime number? True Is 5018960467 a prime number? True Is 3687882449 a composite number? False Is 129790061 prime? True Is 1828439689 prime? True Is 45103250609 a prime number? False Is 1607829319 prime? True Is 43359182837 composite? False Is 713319697 a composite number? False Is 4053144791 prime? False Is 15499702873 prime? True Is 484375891 a prime number? True Is 1241136877 a prime number? False Is 8819732287 prime? False Is 257048339 a composite number? True Is 861118591 composite? False Is 203478219751 composite? False Is 50611151249 composite? False Is 2550711571 prime? True Is 63824688409 prime? False Is 3643683217 composite? True Is 51775337699 composite? False Is 240903743 prime? True Is 3334670311 a composite number? True Is 1617943361 a prime number? False Is 371243513 prime? False Is 277707005 prime? False Is 31588330849 composite? False Is 2938236461 a composite number? True Is 2275365013 a composite number? False Is 733864427 a prime number? False Is 4814413143 composite? True Is 6133887751 prime? False Is 16372160306 a prime number? False Is 2347357181 composite? 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{ "pile_set_name": "DM Mathematics" }
-5063 + 5065. Solve -2*b = -g - 3, 24 - 38 = r*g + 4*b for g. -5 Suppose -3*x + 5*s = -52, 57*s = 2*x + 54*s - 34. Solve -2*a = -2*j - x, -2*j + 16 = 4*a - 0*j for a. 5 Let z(t) = -t**2 - 3*t + 9. Let a be z(0). Suppose -64 = -4*y + m, y - 3*m - a = -m. Solve -4*k - 5*f + y = -12, 5*k - 4*f = -15 for k. 1 Suppose -5*l - 7 = 2*l. Let v be l/(-2)*(-5 - -1). Let z be (3 - 41)/v - 2. Solve h + 2*t = -7, 4*t = -5*h + 3*t - z for h. -3 Let z = -1429 + 894. Let y = z - -537. Solve 0 = 4*d - 4*k - 4, y*d + 3*d - 13 = -3*k for d. 2 Let n(p) = -80*p - 465. Let l be n(-6). Solve -s - 5*t - 30 = 0, -l*t - 30 = 2*s - 11*t for s. -5 Suppose 281*v - 300*v + 34 + 61 = 0. Solve -22 = v*l - 2*q, 0 = -29*l + 24*l - 5*q - 15 for l. -4 Let d(n) = -n - 3. Let c be d(-5). Suppose c*r - 11 = r. Let s = -496 + 500. Solve 2*y - j - 4*j = -15, 3*y + s*j + r = 0 for y. -5 Let s(u) = 4*u + 35. Let t be s(-10). Let w(y) = -10*y - 21. Let i be w(t). Solve -g + 4*d - i = 4*g, 5*d - 10 = g for g. -5 Suppose 12 = -c + f + 6, 0 = c + 2*f + 6. Let n be 9/c*6/((-9)/3). Solve -28 = -5*w - 2*t, w + n*t - 12 = 4 for w. 4 Let z(p) be the second derivative of 3*p**3/2 + 36*p**2 - 2*p - 2. Let q be z(-8). Solve -4*x + 8 = -q*x - 5*k, x = 3*k + 9 for x. -3 Let m be (6/4)/((-648)/2304)*(-27)/6. Solve 6 = -x + 5*a, -2*x + m*a - 28*a + 2 = 0 for x. -1 Suppose -29*l + 41*l - 36 = 0. Let x be (-3 - 0)*((0 - 4) + l). Solve -4*c + x = -3*c + 3*g, 0 = 4*c + 5*g - 12 for c. 3 Suppose 5*p = -4*l + 37, -4*l + 21 = -l - 3*p. Let w be (13 - 1)/(6/l*-1). Let x be (4/w)/((-1)/12). Solve -5*k + 2*c + 15 = -x*c, 3*k + 4*c = -12 for k. 0 Let p be (4/6)/(3/18). Suppose 3*b = -a + 17, -p = 4*b - 2*a - 10. Suppose 5*i - 23 = -q, b*i + 24 = q + 8*i. Solve 3*g + 3*o = -0 - 3, 4*g - 4*o - q = 0 for g. 3 Suppose 35 = 3*d + 6*j - 4*j, 0 = 5*d + j - 49. Solve v + 3*m + 11 = 0, 3*v - 4*m - 41 + d = 0 for v. 4 Let r = 5354 - 5354. Solve y = -5*q + 5, -2*q + r = y + 1 for y. -5 Let o be 3/15 + (-3)/15. Suppose 4*i - 4*f + 0*f + 20 = o, -5*i - 13 = -2*f. Let n be (i - 1/(-3))/(15/(-90)). Solve -n*q - 11 = -6*q + 3*l, q + 2 = -l for q. 1 Suppose -2*b - 5*l = -0*l - 22, 5*l - 20 = 0. Let o be -3 + 5*(2 - b/1). Let g be (1/o - 3)*2*-1. Solve -3*y + g*u = 5, 0*y - 2*y + u - 1 = 0 for y. 0 Let x be (-5 + 2)*156/(-117). Solve x*w = -134*g + 138*g - 4, -5*w = 25 for g. -4 Let v be ((-40)/6)/(66/(-99)) - 8. Solve 0 = -i, -v*i = -4*m - 2 + 6 for m. 1 Suppose 0 = 2*k - 7*k + 4*u + 119, 2*u = 5*k - 127. Suppose -19*g - 200 = -k*g. Solve s - 2*z = -5, 2*s + s + 2*z - g = 0 for s. 5 Let p be ((-3)/5)/(22/40 - 3/4). Solve 5*q + 42 - 57 = p*m, m - 2*q = -5 for m. -5 Let n(v) be the first derivative of 35*v**2/2 - 170*v + 30. Let x be n(5). Solve 29 = 4*q + y + 2*y, 5*q - 40 = -x*y for q. 5 Let m be (10 - 7) + 2 + 6. Solve -5*h + 2*h + 3*a - 9 = 0, a = 3*h + m for h. -4 Let g(q) = -22*q + 1125. Let x be g(51). Solve 5*m = -f - 28, -3*f + 1 = x*m + 25 for m. -5 Suppose -t - 5*n = -9, -376*t + 375*t + 33 = -n. Solve a - t = -4*q - 20, 2*a - 2*q = -12 for a. -3 Let r(x) = -32*x + 96. Let c be r(3). Solve -5*z - 20 = -4*h - c, 15 = 2*z + 3*h for z. 0 Let y(l) = l**3 - 3*l**2 - 8*l + 2. Let h be y(11). Let n be h/306 + 2/17. Let d = -501 + 506. Solve 5*z + 3 = -7, 0 = -n*o - d*z + 2 for o. 4 Let f(t) = 3*t - 57. Let j be f(20). Suppose 0 = j*d - k - 6, 5*k + 1 = -3*d + 7. Solve d*x + 4 = -3*r + 5*r, 0 = -3*r + 2*x + 8 for r. 4 Let b(t) = -t**2 + 63*t - 438. Let a be b(8). Solve -8 = 4*y - a*w, -3*y - 46*w + 41*w = 32 for y. -4 Let d be (96/20 + -5)*5 + 63. Let y = d + -58. Solve y*h + 7 = -3*l, -2*l = 3*l + 5 for h. -1 Suppose 204 = -62*j + 1754. Let w be (5/15)/(2/12). Suppose w*v + v = 0. Solve -3*k - c - 20 + 3 = v, -j = 5*k + c for k. -4 Let f = -10 - -18. Suppose 3*c - 3*y + 11 = -7*y, -3*c - 5*y = 16. Let k be (-1 - 0/c)*(1 + -4). Solve -k*b + 5*n = -7*b - f, 3*b + n = -6 for b. -2 Let m be 100 - (324/6)/(-6). Suppose -12*y + 337 = m. Solve -u + 1 = -c, -2*c + 2 - y = 3*u for u. -3 Let z(b) = -136*b - 1085. Let k be z(-8). Solve 2*l - 5*s = -16, 7*l = 9*l + k*s - 16 for l. 2 Suppose 5*b + 5 = 0, -y + 7*b = 6*b - 10. Solve 2*g - 2*k = 12, k = g - 3*g + y for g. 5 Suppose 2*d - 37 = z, 0 = 3*d + 5*z - 9*z - 48. Let y = 6 - 1. Let s = y + 0. Solve -2*w + d = -4*h, -s*h - 11 = 14 for w. 0 Let p(m) = m**2 - 3*m + 2. Let q be p(6). Let x = -3110 + 3111. Solve 5*w - 4*j + x = 0, 4*j = -4*w + 2*j + q for w. 3 Let v be -617 - -605 - (-14 + -1). Solve 61 = -4*s - b + 40, 0 = -v*s - 4*b - 32 for s. -4 Let c(w) = 4 + 0*w + 489*w**3 - w**2 - 488*w**3 - 6*w - 6. Let n be c(4). Let o be (-4)/n + (-268)/(-22). Solve 4*u - 4*m - 28 = 0, -2*m + o = -5*m for u. 3 Let n be (-3)/((-6)/(-32)*-4). Let i be ((-6)/5)/(33/(-110)). Solve 2*z - 2*d - i = 6*z, -n*z + 4 = 4*d for z. -3 Suppose j - 3*w = -w + 7, 2*j = -2*w + 32. Suppose 15 - j = m. Solve 0 = -m*c + 3*v + 3 + 2, -3*c - 2 = 5*v for c. 1 Suppose -3*d = -253*q + 255*q - 27, 0 = -4*d - q + 31. Solve a = 3*h + 1, 4*a + 2*h - 4 = d*a for a. -2 Suppose -11*g + 0*g = 3*g. Let d = g - -3. Solve -5*y + 3*y - r = -d, 18 = 2*y + 4*r for y. -1 Let c = 30976 - 30973. Solve -23 = c*d + 5*u, 6*u + 25 = -5*d + u for d. -1 Let y(m) = -7*m**3 + 3*m**2 + 6*m + 2. Let t be y(-1). Suppose -7*f + t = -8. Solve -f*o + 4*r + 5 = 3, -3*o - 13 = 2*r for o. -3 Let l = -86 - -88. Suppose 0 = l*o - 48 + 40. Solve -7*c + 2*c - 17 = -a, -5*a - 2 = o*c for a. 2 Let y = 1088 + -1088. Solve 3*s + u - 5 = y, -3*s = -u - 0*u - 13 for s. 3 Let p(o) = o**2 - 6*o - 10. Let l be p(10). Suppose 0 = 5*r - 0*r - l. Suppose -4*u - r + 22 = 0. Solve t = -v + 1, 5*t - 2*t + u*v = 2 for t. 2 Suppose -9*y = 14 - 23. Let t(q) = 7*q**3 - q + 13*q**3 - q**2 + 6*q**3 - 4*q**3. Let v be t(y). Solve -v = 4*c + l - 5*l, -2*c - 5 = -l for c. 0 Let y(p) = p**2 + 42*p - 285. Let u be y(6). Let o = 6 + -3. Solve -o*j - 27 + 6 = u*m, -j + 3*m + 9 = 0 for j. -3 Let c(t) = -38*t + 3614. Let x be c(95). Solve 2*r + y = 5*y + 26, -x*y = -4*r + 32 for r. 3 Let x(s) = -s**3 - s**2 - 12*s. Let n be x(0). Suppose -5*b - 2*c + 29 = n, -4*b + 5*c = -b - 5. Solve 0 = -u - b*h - 5, 9 = u - 2*h for u. 5 Suppose -10*n - 25 + 10 = -85. Suppose -2 = -i - 4*w - 12, -4*i + w = -11. Suppose 0 = i*k - 3*k. Solve 26 = 2*z - 0*z - 4*x, z + 2*x + n = k for z. 3 Suppose 4*x = 5*v + 67, 2*v = 4*x - 0*v - 70. Let w be 18*1 + (x - 25). Solve 2 = 2*u - 5*a - 21, 2*u - a = w for u. 4 Suppose -4*o = -5*r - 0*o + 3, r - 9 = -2*o. Let t = 10 - r. Solve -5*p = 3*w - 1, -t - 11 = 4*w - 3*p for w. -3 Suppose -192 = 140*p - 164*p. Solve -4*h = 4*s - 12, 0*s + p = 2*s + 3*h for s. 1 Suppose 3*k + 36 = 201. Suppose 0 = -3*v + k + 38. Suppose 0 = -b + v - 13. Solve 5*x + j = -b, 2*x + 0*x = -2*j - 12 for x. -3 Suppose 2 = 2*t + 4*y - 14, t - 4*y = 2. Solve -t*w - 4*o = -7*w + 3, -4*o - 13 = w for w. -5 Suppose -10*j + 5*d = -6*j - 15, 11 = 2*j + d. Solve 2 = z - 2*z - q, -z + j*q = -10 for z. 0 Suppose 4*p = -5*d + 40, 153 = 2*d + 145. Suppose 7*s = -3*i + 2*s + 17, 2*i - 5 = 3*s. Solve i*c = -2*k + 26, 4*c + p*k - 42 = -1 for c. 4 Let r = 13343 + -13338. Solve -33 = -5*l + 4*o, -9*l - 3*o = -r*l - 14 for l. 5 Let c be 3 + (-1)/3*-3. Suppose 2*d - k = 3*d - 21, -c*k = -d + 16. Suppose b + 42 = 3*r, -19*b = r - 20*b - 12. Solve -u = -2*o - r, -3*u + d = -u - 2*o for u. 5 Suppose -y - 2*y - 61 = w, -73 = w - y. Let g = -70 - w. Suppose g = -4*l - 2 + 6. Solve 2*u - l = -b, -4*u + 0 = -5*b + 19 for b. 3 Let c(w) = w**2 - 4*w + 8. Let i be c(6). Let k be 8/i - 4/10. Let b(f) = f. Let q be b(7). Solve 3*t - l - 5 - q = 0, 4*t - 2*l - 18 = k for t. 3 Suppose -3*v = 4*t - 25, -2*t - 6 = -5*v + 1. Suppose 3*s + t*z + 1 = 0, -2*s - 4*z - 4 + 2 = 0. Solve 0 = -p - 4*h - 3 - s, -5*p - 5*h = -10 for p. 4 Let o(s) = 2*s**3 + 12*s**2 - 34*s - 12. Let a be o(-8). Solve a = q + y + 10, -4*q - 14 = -y for q. -4 Let y be 10/(-60)*((-8)/4 - 28). Suppose 14*d + 13 = 2*p + 17*d, -d - 24 = -y*p. Solve -2*j = 2*x + 14, -x - 9 = -p*j - 26 for j. -4 Suppose 5*z - 5 = -15. Let k be ((-18)/63)/(z/14). Solve 3*m - 14 = -2*a, 5*m - k*m - a = 2 for m. 2 Suppose 5*m = 3*b + 2799, -3*m = -14*b + 19*b - 1659. Suppose -4*t - m = -566. Solve 4*j = -t*y, -4*y + 11 + 1 = -4*j for y. 2 Let k be 30/4 - (7 + 15/(-2)). Suppose 0
{ "pile_set_name": "DM Mathematics" }
t v = -0.2 - -0.24. Let j = v + -7.04. Let n = 6.95 + j. Round n to 1 decimal place. -0.1 Let j = 232410553 - 232410551.95102293. Let o = -5.95102295 - j. Let h = -7 - o. What is h rounded to 7 decimal places? 0 Let z(s) = -7316*s**2 + 4*s + 3. Let j be z(-1). Let c be j/12 - (-1)/(-4). Round c to the nearest 100. -600 Let b(l) = 2178*l**3 - 2*l - 1. Let h be b(-1). Suppose 0 = z + z - 2154. Let a = z + h. What is a rounded to the nearest 1000? -1000 Let i be ((-2)/4 - 0)*0. Suppose q - 4*a = 156, i = -q - 5*a - 0*a + 120. Round q to the nearest one hundred. 100 Let i = 5 - 47. Let q = 42.00038 + i. Let h = 0 + q. Round h to four decimal places. 0.0004 Let w = -1457.99998996 + 1458. Round w to 6 dps. 0.00001 Let i = 21608 + -21608.011877. Round i to three decimal places. -0.012 Let z(q) = -6707*q**3 - 13*q**2 + 20*q + 15. Let y be z(9). Let g = -7950261 - y. Round g to the nearest one hundred thousand. -3100000 Let x = -126544 - -59544. What is x rounded to the nearest one hundred thousand? -100000 Let i = 9139.45111561 + -8720.4511181. Let f = -419 + i. What is f rounded to 6 dps? -0.000002 Let g = 115.32 + -115.3209041. What is g rounded to five dps? -0.0009 Let i(j) = 12*j**3 - j - 1. Let l be (3/4)/((-2)/(-8)). Let f be i(l). Suppose -7*s + 3*s - f = -4*x, 2*x + 3*s - 145 = 0. What is x rounded to the nearest ten? 80 Let l = 2771275776 + -2771275436.0000626. Let i = 340 - l. What is i rounded to 5 decimal places? 0.00006 Let v = 15742160.000001 + -15742136. Let m = v + -24. Round m to 5 decimal places. 0 Let z = -58.875 + -0.125. Let r = -58.961 - z. Round r to three decimal places. 0.039 Let v be ((-68473072)/(-32))/((-2)/(-4)). Let a = v - 6329567. What is a rounded to the nearest one hundred thousand? -2100000 Suppose -12 = -j - n - 3*n, 0 = 3*j + 4*n - 76. Let y be j*((-3738)/(-4) + 3). Suppose 4*f + y = f. What is f rounded to the nearest ten thousand? -10000 Let q = 27 - 21. Let z(c) = 4849998*c + 12. Let t be z(q). Suppose -4*v + 3*v - t = 0. Round v to the nearest one million. -29000000 Suppose -4*f + 20 = 0, -2*f + 3*f + 719540 = 5*o. Suppose 4*i + 596091 + o = 0. Round i to the nearest ten thousand. -190000 Let v = 20.02783 - -0.01467. Let g = v - 20. Round g to three decimal places. 0.043 Let x = -0.1 - 0.58. Let r = -0.88 + x. Round r to 1 decimal place. -1.6 Let k = -280.4004 + 0.2004. What is k rounded to the nearest ten? -280 Let f = -302.120148 - 0.718852. Let v = 303 + f. What is v rounded to two dps? 0.16 Let r = 214.15 + -201. Round r to zero decimal places. 13 Let k = -16243 + 16242.999992951. What is k rounded to seven dps? -0.000007 Let j(v) = v**2 - 4*v + 2. Let d be j(1). Let a be 3/d + (0 - 647). Round a to the nearest one hundred. -700 Let a = -2.91233 + 71.76873. Let f = -0.0436 - a. Round f to 0 dps. -69 Let c = 3764 + -3763.9995999. Round c to 5 decimal places. 0.0004 Let z = -346 + 345.982325. What is z rounded to four dps? -0.0177 Let b = -729933924.290276 - -729932207. Let y = b - -1543.2902673. Let c = y - -174. What is c rounded to 6 dps? -0.000009 Let z = 394826889490 - 394825275283.60061. Let n = z + -1614054.4. Let f = 152 - n. Round f to four decimal places. 0.0006 Suppose w = -11*w - 12024. Let s = 2012 + w. What is s rounded to the nearest 100? 1000 Let u = 1.011 + -0.649. What is u rounded to two decimal places? 0.36 Let a = 3448976 - 1912521. Suppose -2263545 = -2*r + a. Round r to the nearest one million. 2000000 Let j = -13504.5051863 - 56.0952537. Let n = 13560 + j. Let h = 0.6 + n. What is h rounded to four decimal places? -0.0004 Let m = -5 + 5. Suppose m = -i - 0 - 2. Let b be 1718*(3 - -36) + i. Round b to the nearest ten thousand. 70000 Let c = 8868126 + -24388126. What is c rounded to the nearest 1000000? -16000000 Let a(h) = -1629*h - 2. Let z be a(2). Let x be (-6)/15 + z/(-25). Suppose 0 = -l - 4*p - p - x, -p - 558 = 4*l. What is l rounded to the nearest 10? -140 Let t = -88 + 124. Let s = t + -35.999994. What is s rounded to 5 decimal places? 0.00001 Let f(x) = x - 6. Let h be f(5). Suppose -3*p - 315 = 4*u, 2*p = -2*u + 3 - 161. Let s be ((u + -2)*-16125)/h. Round s to the nearest one hundred thousand. -1300000 Suppose -12 = -4*t + 4. Let f = t - 8. Let s(n) = 13813*n**2 + n - 4. Let k be s(f). What is k rounded to the nearest 10000? 220000 Let g = -3733.98479 - -3734. Round g to three dps. 0.015 Let m = -573 - -572.99999721. What is m rounded to 7 dps? -0.0000028 Suppose -5*w + 26 = 5*r - w, 3*w = r - 9. Let c(s) = 2*s**2 - 32*s + 8. Let d be c(15). Let n be 15396/d - r/33. Round n to the nearest one thousand. -1000 Let p = -3557211888 + 3557211841.00000001. Let x = 47 + p. Round x to seven decimal places. 0 Let w(a) be the second derivative of 0 + 633/2*a**3 + 6*a + 1/2*a**2. Let m be w(1). Round m to the nearest one thousand. 2000 Let o = -29.1739 + 29.2. What is o rounded to 3 decimal places? 0.026 Let i = 3.5 + 17. Let t = 134.5 + i. Let g = -155.000202 + t. Round g to 5 dps. -0.0002 Let s(y) = -116*y**2 - 27*y - 36. Let f be s(24). Round f to the nearest ten thousand. -70000 Suppose 4*o + 0*o = -4. Let n be o*(0 - 0)/(-1). Let u be 0 - (-520000)/(n - -2). What is u rounded to the nearest 100000? 300000 Let h(w) = -w - 138. Let b(n) = -n - 138. Let a(d) = 5*b(d) - 6*h(d). Let j be a(0). Suppose -j = -4*z + 2*t, 3*z + 0*t - 107 = -2*t. Round z to the nearest 10. 40 Let d = -1.819 + 1.81901701. Round d to 6 decimal places. 0.000017 Let f = 7 + -8. Let u be (-76)/(-2)*-1 + f. Let r = u - -23. Round r to zero dps. -16 Let m = -5.94 - 3.21. What is m rounded to the nearest integer? -9 Let s(i) = -228*i + 4. Let k be s(-4). Suppose -1184 = -2*b + k. Round b to the nearest 100. 1100 Let c = -26099558288.48019 + 26099663634. Let a = c - 105346. Let y = -0.48 - a. What is y rounded to 4 decimal places? 0.0002 Let o = -56.97 + 57. Let s = -0.0318 + o. What is s rounded to four decimal places? -0.0018 Let n = -3.15 + 3.14999095. Round n to seven decimal places. -0.0000091 Let b = -8.8 + -72.2. Let v = b + 81.000102. Round v to five dps. 0.0001 Let j = -1968 - -978. What is j rounded to the nearest one thousand? -1000 Let q be ((-6)/7)/((-13)/273). Suppose 23*z = q*z - 9550000. Round z to the nearest one hundred thousand. -1900000 Let b = 979901998569.89813 + -979897586659. Let i = b - 4411943. Let l = i - -32.1. What is l rounded to 4 dps? -0.0019 Suppose -3*d = -2*d + 3*m + 1, 0 = 5*d + 4*m - 6. Suppose 0 = 5*t - w + 58499997, 4*t + 5396444 + 41403562 = -d*w. What is t rounded to the nearest 1000000? -12000000 Let w = 4.283 - 10.941. Let k = 6.6 + w. What is k rounded to 2 dps? -0.06 Let w be 17152343/2 - 27/18 - 1. Let i = 5036169 - w. Round i to the nearest one hundred thousand. -3500000 Let t = 908 + -907.998853. Round t to 4 dps. 0.0011 Let f = -0.30300265 - -0.303. What is f rounded to 6 dps? -0.000003 Let l = -212.9 - -225. Let z = 15 - l. Let j = z - 1.6. Round j to one dp. 1.3 Let o be 50763*-1 - 16/4. Suppose 0 = -d - 9044 - 4723. Let m = o - d. What is m rounded to the nearest ten thousand? -40000 Let z = -314.36 - -274.7. Round z to the nearest integer. -40 Let p be (24/30 + 9/(-5))*-744. Suppose 4*t = -p + 1876. What is t rounded to the nearest 100? 300 Let l = 2019 + 485. Round l to the nearest 100. 2500 Let y be 0/(9/(-6)*-2). Suppose y*g = 4*g - 12. Let j be 0 - ((4 - g) + 79). What is j rounded to the nearest one hundred? -100 Let p = -16.932 - -0.232. Let r = -2.02 - 13.98. Let v = r - p. What is v rounded to one decimal place? 0.7 Suppose 4*x + 45 = 7*x. Suppose 7*d = 6*d - x. Let s(r) = -6132*r**2 + 19*r - 15. Let l be s(d). What is l rounded to the nearest 100000? -1400000 Let v be (15*(-122)/(-6))/(4/(-720)). What is v rounded to the nearest ten thousand? -50000 Let a = 15.3 - 804.3. Let i = 785.17 + a. Round i to the nearest integer. -4 Let k = 102.97 - -332.5. Let f = -438 + k. Round f to 1 dp. -2.5 Let s = -66.98282 + -213493.86718. Let a = 213575.8500168 + s. Let m = a + -15. What is m rounded to six decimal places? 0.000017 Let b = -2097 + 2097.00001081. Round b to seven decimal places. 0.0000108 Let g = 0.56 - -45.04. Let l = g - -3.4. Let k = -48.99999876 + l. Round k to 7 dps. 0.0000012 Let d = -1.36 - -0.97. Let q = d - -0.57. What is q rounded to 1 deci
{ "pile_set_name": "DM Mathematics" }
without replacement from {x: 4, y: 2}. 2/5 Four letters picked without replacement from kkkkggntrggnrt. What is prob of picking 2 n, 1 k, and 1 t? 8/1001 Four letters picked without replacement from {d: 2, i: 2, z: 3, h: 2, o: 4}. Give prob of picking 2 o and 2 i. 6/715 What is prob of picking 1 q and 1 y when two letters picked without replacement from nenxynxbnyqenxn? 2/105 Calculate prob of picking 2 j when two letters picked without replacement from {j: 2, n: 16}. 1/153 Two letters picked without replacement from {g: 1, j: 2, x: 2, o: 2, t: 1, q: 1}. Give prob of picking 1 o and 1 t. 1/18 Three letters picked without replacement from {e: 3, o: 2, z: 6, j: 5, n: 1, c: 2}. What is prob of picking 1 n and 2 o? 1/969 Calculate prob of picking 2 y, 1 w, and 1 l when four letters picked without replacement from llywllylylyll. 48/715 Three letters picked without replacement from {o: 1, m: 7, d: 6}. What is prob of picking 1 o and 2 m? 3/52 Three letters picked without replacement from {k: 1, v: 1, n: 2, j: 9, f: 3, w: 3}. What is prob of picking 2 f and 1 w? 3/323 Two letters picked without replacement from {n: 4, f: 6, o: 1}. Give prob of picking 2 f. 3/11 Two letters picked without replacement from {a: 1, n: 12, l: 1}. Give prob of picking 1 l and 1 n. 12/91 Two letters picked without replacement from {h: 1, k: 3, w: 1, v: 6, l: 5, n: 1}. Give prob of picking 1 n and 1 l. 5/136 Calculate prob of picking 1 f and 2 d when three letters picked without replacement from {d: 2, c: 4, f: 2}. 1/28 Four letters picked without replacement from {k: 3, o: 2}. Give prob of picking 1 o and 3 k. 2/5 Calculate prob of picking 1 x and 1 n when two letters picked without replacement from xxvvnvxvvvxvxgx. 2/35 Three letters picked without replacement from mommnonmmonnoomom. What is prob of picking 1 n and 2 o? 3/34 Four letters picked without replacement from kvqpjqpx. Give prob of picking 2 p, 1 x, and 1 j. 1/70 Three letters picked without replacement from dpdpeky. What is prob of picking 1 p and 2 d? 2/35 What is prob of picking 2 r and 2 o when four letters picked without replacement from {m: 1, b: 3, o: 6, r: 4, h: 2}? 9/182 Two letters picked without replacement from cfcfcfff. Give prob of picking 2 f. 5/14 Three letters picked without replacement from {k: 4}. What is prob of picking 3 k? 1 Four letters picked without replacement from {s: 7}. What is prob of picking 4 s? 1 Three letters picked without replacement from {x: 5, y: 3}. Give prob of picking 3 x. 5/28 Two letters picked without replacement from ewxxwwwwgwwwwxwbnw. Give prob of picking 1 w and 1 x. 11/51 Calculate prob of picking 2 j when two letters picked without replacement from jjoeujjjeuwjjeue. 7/40 Calculate prob of picking 1 k and 2 v when three letters picked without replacement from {w: 1, f: 2, k: 7, q: 7, v: 3}. 7/380 Three letters picked without replacement from mjjcgjtmzgtmzz. What is prob of picking 1 c, 1 z, and 1 m? 9/364 Calculate prob of picking 3 w and 1 b when four letters picked without replacement from wwwwwwwwwwbbw. 6/13 What is prob of picking 2 s and 2 q when four letters picked without replacement from {d: 2, h: 1, q: 2, o: 1, c: 1, s: 2}? 1/126 Two letters picked without replacement from {y: 1, a: 1, l: 2, s: 1, t: 3, p: 3}. Give prob of picking 1 a and 1 t. 3/55 What is prob of picking 1 u, 1 d, and 1 l when three letters picked without replacement from {r: 1, d: 1, k: 5, l: 1, u: 1}? 1/84 Two letters picked without replacement from kcokokkcsskkc. What is prob of picking 1 s and 1 c? 1/13 Four letters picked without replacement from apvavpappwvpvpv. Give prob of picking 1 w, 1 a, 1 v, and 1 p. 6/91 Calculate prob of picking 3 u when three letters picked without replacement from uuuzz. 1/10 Calculate prob of picking 1 v and 3 u when four letters picked without replacement from svsvususssuuvv. 16/1001 What is prob of picking 2 y when two letters picked without replacement from yssyzszzs? 1/36 What is prob of picking 2 w when two letters picked without replacement from wwwwwtwwwwww? 5/6 What is prob of picking 3 o when three letters picked without replacement from {o: 8, k: 3}? 56/165 Four letters picked without replacement from ggqgggggggggggg. What is prob of picking 3 g and 1 q? 4/15 Calculate prob of picking 1 y and 1 o when two letters picked without replacement from byyocrbyoyb. 8/55 Four letters picked without replacement from ssqmvmmququvqqsq. Give prob of picking 3 q and 1 u. 2/91 What is prob of picking 1 r and 1 w when two letters picked without replacement from xrwxhxdkxxrdxrhxdx? 1/51 Four letters picked without replacement from peeppppeee. What is prob of picking 2 p and 2 e? 10/21 Calculate prob of picking 1 d and 2 l when three letters picked without replacement from lldcd. 1/5 Three letters picked without replacement from cactctt. What is prob of picking 2 c and 1 a? 3/35 Three letters picked without replacement from {l: 9, u: 1, g: 1, p: 1, x: 4, w: 1}. What is prob of picking 1 u and 2 x? 3/340 Calculate prob of picking 1 r and 2 z when three letters picked without replacement from {r: 1, n: 7, y: 4, o: 4, z: 2}. 1/816 Calculate prob of picking 1 x and 1 z when two letters picked without replacement from {z: 4, x: 16}. 32/95 Three letters picked without replacement from {b: 8, n: 1, s: 8}. Give prob of picking 1 n and 2 b. 7/170 Two letters picked without replacement from {q: 6, j: 6}. Give prob of picking 2 q. 5/22 Calculate prob of picking 1 e and 1 c when two letters picked without replacement from {m: 2, y: 1, a: 1, c: 1, b: 1, e: 1}. 1/21 What is prob of picking 1 k, 1 o, and 1 e when three letters picked without replacement from {o: 1, f: 4, e: 1, l: 4, k: 3}? 3/286 Two letters picked without replacement from anvnfnfn. What is prob of picking 2 n? 3/14 Two letters picked without replacement from gjfgymmmjjfd. Give prob of picking 1 f and 1 y. 1/33 Two letters picked without replacement from iiirwir. Give prob of picking 2 i. 2/7 What is prob of picking 1 r and 1 a when two letters picked without replacement from erearaeaaaraea? 3/13 Calculate prob of picking 2 b and 2 l when four letters picked without replacement from {g: 1, l: 4, k: 8, b: 2, q: 4}. 1/646 What is prob of picking 1 a and 1 m when two letters picked without replacement from {q: 10, f: 5, a: 2, m: 1, h: 1, d: 1}? 1/95 Calculate prob of picking 2 f and 1 g when three letters picked without replacement from {h: 1, g: 2, w: 2, f: 2, m: 8}. 2/455 Four letters picked without replacement from iikiqkkkiqiff. Give prob of picking 2 q and 2 i. 2/143 Calculate prob of picking 3 m when three letters picked without replacement from mrmmrgmrmrmrm. 35/286 Two letters picked without replacement from txtxaxxxxixxxtxiixxx. Give prob of picking 2 t. 3/190 Calculate prob of picking 1 x and 1 m when two letters picked without replacement from {b: 7, m: 4, x: 1, u: 4, d: 3}. 4/171 Two letters picked without replacement from nuvdf. Give prob of picking 1 v and 1 d. 1/10 Two letters picked without replacement from {l: 2, w: 1, f: 2, y: 1}. Give prob of picking 1 y and 1 f. 2/15 What is prob of picking 1 t and 1 f when two letters picked without replacement from {x: 3, d: 2, t: 1, u: 1, f: 4, r: 1}? 2/33 Three letters picked without replacement from mmvpmvnmpxvm. Give prob of picking 1 n, 1 p, and 1 x. 1/110 Calculate prob of picking 2 i and 1 e when three letters picked without replacement from xexif. 0 Four letters picked without replacement from crrcrurrcu. Give prob of picking 2 c and 2 r. 1/7 Two letters picked without replacement from llllldlclllf. What is prob of picking 1 c and 1 d? 1/66 Three letters picked without replacement from {t: 4, a: 12, w: 1, g: 2}. Give prob of picking 1 a, 1 t, and 1 w. 16/323 Four letters picked without replacement from {h: 4, n: 6, k: 1}. What is prob of picking 3 n and 1 h? 8/33 Two letters picked without replacement from {g: 1, z: 2, h: 2, m: 14}. What is prob of picking 2 m? 91/171 Four letters picked without replacement from ppakpapkppppkpepph. What is prob of picking 1 a, 1 k, 1 h, and 1 p? 11/510 Three letters picked without replacement from {p: 3, l: 2, u: 2, f: 2}. Give prob of picking 2 p and 1 l. 1/14 What is prob of picking 1 g and 1 e when two letters
{ "pile_set_name": "DM Mathematics" }
What is the thousands digit of 125840? 5 What is the tens digit of 210218? 1 What is the ten thousands digit of 721409? 2 What is the hundreds digit of 78431? 4 What is the millions digit of 1055921? 1 What is the millions digit of 2992861? 2 What is the ten thousands digit of 14273529? 7 What is the ten thousands digit of 1718435? 1 What is the tens digit of 981807? 0 What is the hundreds digit of 1895024? 0 What is the hundreds digit of 10853858? 8 What is the thousands digit of 10192998? 2 What is the hundred thousands digit of 1973929? 9 What is the hundreds digit of 416689? 6 What is the hundreds digit of 256407? 4 What is the ten millions digit of 12471688? 1 What is the units digit of 4326786? 6 What is the ten thousands digit of 35584553? 8 What is the thousands digit of 17686869? 6 What is the hundred thousands digit of 10696917? 6 What is the units digit of 267226? 6 What is the ten thousands digit of 12047? 1 What is the units digit of 256802? 2 What is the hundreds digit of 11047834? 8 What is the millions digit of 6578783? 6 What is the hundreds digit of 2006025? 0 What is the units digit of 118953? 3 What is the ten thousands digit of 774338? 7 What is the ten thousands digit of 6313131? 1 What is the tens digit of 35490? 9 What is the millions digit of 1062455? 1 What is the ten thousands digit of 391024? 9 What is the tens digit of 1917900? 0 What is the tens digit of 637855? 5 What is the hundred thousands digit of 1021811? 0 What is the ten thousands digit of 180184? 8 What is the thousands digit of 271331? 1 What is the ten thousands digit of 3441195? 4 What is the units digit of 1057482? 2 What is the units digit of 2203521? 1 What is the units digit of 1876432? 2 What is the ten thousands digit of 649606? 4 What is the units digit of 455232? 2 What is the tens digit of 19548692? 9 What is the units digit of 241462? 2 What is the hundred thousands digit of 2241700? 2 What is the ten thousands digit of 4020175? 2 What is the hundreds digit of 4403972? 9 What is the millions digit of 2655941? 2 What is the hundred thousands digit of 199383? 1 What is the millions digit of 11794001? 1 What is the units digit of 613805? 5 What is the hundred thousands digit of 501151? 5 What is the hundreds digit of 432493? 4 What is the hundred thousands digit of 2564271? 5 What is the hundreds digit of 2037398? 3 What is the thousands digit of 27391? 7 What is the units digit of 128270? 0 What is the hundreds digit of 3741235? 2 What is the thousands digit of 815101? 5 What is the ten thousands digit of 581088? 8 What is the thousands digit of 483459? 3 What is the ten thousands digit of 3725353? 2 What is the thousands digit of 498712? 8 What is the units digit of 9611429? 9 What is the tens digit of 5108? 0 What is the hundreds digit of 365370? 3 What is the tens digit of 69385? 8 What is the millions digit of 1042110? 1 What is the tens digit of 7457406? 0 What is the units digit of 36142399? 9 What is the thousands digit of 168256? 8 What is the units digit of 186557? 7 What is the hundreds digit of 80593? 5 What is the ten thousands digit of 16942601? 4 What is the hundreds digit of 1866017? 0 What is the units digit of 96528? 8 What is the units digit of 2957737? 7 What is the ten thousands digit of 1375593? 7 What is the tens digit of 400077? 7 What is the thousands digit of 211119? 1 What is the thousands digit of 593960? 3 What is the tens digit of 6502599? 9 What is the ten thousands digit of 162707? 6 What is the hundred thousands digit of 194415? 1 What is the tens digit of 6438619? 1 What is the ten thousands digit of 7977429? 7 What is the hundreds digit of 625707? 7 What is the units digit of 18067824? 4 What is the tens digit of 174686? 8 What is the tens digit of 392137? 3 What is the ten thousands digit of 392055? 9 What is the thousands digit of 19355439? 5 What is the ten thousands digit of 8550688? 5 What is the hundreds digit of 1361423? 4 What is the tens digit of 41253532? 3 What is the thousands digit of 2318765? 8 What is the thousands digit of 84091? 4 What is the ten thousands digit of 500874? 0 What is the thousands digit of 2259013? 9 What is the hundreds digit of 661010? 0 What is the thousands digit of 455780? 5 What is the ten millions digit of 14933851? 1 What is the ten thousands digit of 2771771? 7 What is the hundreds digit of 945909? 9 What is the units digit of 293700? 0 What is the units digit of 134885? 5 What is the thousands digit of 1475772? 5 What is the hundreds digit of 112952? 9 What is the millions digit of 2186041? 2 What is the ten thousands digit of 3342662? 4 What is the units digit of 867936? 6 What is the tens digit of 657430? 3 What is the hundreds digit of 12451708? 7 What is the hundreds digit of 250804? 8 What is the thousands digit of 9627916? 7 What is the units digit of 341130? 0 What is the hundreds digit of 8802182? 1 What is the tens digit of 1142651? 5 What is the ten thousands digit of 191410? 9 What is the thousands digit of 3170806? 0 What is the thousands digit of 4256338? 6 What is the units digit of 6508267? 7 What is the ten thousands digit of 716041? 1 What is the hundred thousands digit of 242787? 2 What is the hundreds digit of 5695228? 2 What is the thousands digit of 179983? 9 What is the tens digit of 11486657? 5 What is the thousands digit of 7488632? 8 What is the hundreds digit of 7375? 3 What is the units digit of 1916959? 9 What is the thousands digit of 11799902? 9 What is the ten thousands digit of 2957123? 5 What is the hundred thousands digit of 4847504? 8 What is the hundreds digit of 2637801? 8 What is the hundreds digit of 1026665? 6 What is the tens digit of 5727970? 7 What is the hundreds digit of 21354? 3 What is the hundreds digit of 1691663? 6 What is the hundred thousands digit of 2083904? 0 What is the ten thousands digit of 616556? 1 What is the units digit of 8160922? 2 What is the units digit of 12511788? 8 What is the hundred thousands digit of 207003? 2 What is the ten thousands digit of 3638380? 3 What is the units digit of 804973? 3 What is the units digit of 675245? 5 What is the tens digit of 6552957? 5 What is the ten thousands digit of 722987? 2 What is the thousands digit of 3880438? 0 What is the tens digit of 6529776? 7 What is the thousands digit of 113644? 3 What is the ten thousands digit of 10235171? 3 What is the units digit of 1215003? 3 What is the tens digit of 641585? 8 What is the millions digit of 37022818? 7 What is the thousands digit of 1394654? 4 What is the units digit of 417956? 6 What is the hundreds digit of 59279? 2 What is the millions digit of 27496645? 7 What is the units digit of 304856? 6 What is the tens digit of 671744? 4 What is the hundreds digit of 1713640? 6 What is the thousands digit of 852679? 2 What is the tens digit of 2859623? 2 What is the tens digit of 145048? 4 What is the hundreds digit of 442673? 6 What is the tens digit of 298810? 1 What is the units digit of 869349? 9 What is the hundreds digit of 421973? 9 What is the hundred thousands digit of 113110? 1 What is the ten thousands digit of 3588757? 8 What is the hundreds digit of 5429056? 0 What is the millions digit of 4964332? 4 What is the thousands digit of 6548941? 8 What is the units digit of 715016? 6 What is the hundreds digit of 297535? 5 What is the units digit of 5630? 0 What is the hundred thousands digit of 9412738? 4 What is the hundreds digit of 5539685? 6 What is the hundreds digit of 126567? 5 What is the ten millions digit of 12479499? 1 What is the tens digit of 330494? 9 What is the units digit of 82363? 3 What is the ten thousands digit of 6872313? 7 What is the units digit of 1160264? 4 What is the millions digit of 1606075? 1 What is the thousands digit of 5664979? 4 What is the millions digit of 4376629? 4 What is the tens digit of 458875? 7 What is the hundred thousands digit of 559780? 5 What is the units digit of 207629? 9 What is the units digit of 147845? 5 What is the units digit of 2106010? 0 What is the hundred thousands digit of 4192511? 1 What is the tens digit of 5264854? 5 What is the hundred thousands digit of 291264? 2 What is the ten thousands digit of 299281? 9 What is the millions digit of 5242
{ "pile_set_name": "DM Mathematics" }
165*f for f. 38 Solve 110*w + 75*w + 444*w - 4767 = 1523 for w. 10 Solve -27*a = 24*a + 279 + 690 for a. -19 Solve -2114*w + 466872 = 1289*w + 4865*w + 2848*w for w. 42 Solve 0 = 5*l - 20*l - 69*l - 16*l - 1400 for l. -14 Solve -17585*q + 5265 = -17022*q + 16525 for q. -20 Solve -1742522*a + 1742485*a - 2257 = 0 for a. -61 Solve -193*n - 384 - 7130 - 7986 = 57*n for n. -62 Solve 1585*n - 18575 = 8370 for n. 17 Solve 0 = 2326*a - 2222*a + 2491 - 12267 for a. 94 Solve -3*l = -146 - 138 + 263 for l. 7 Solve 97*a + 2225 + 1415 - 160 = -1661 for a. -53 Solve 841*d - 2330*d + 342 = -733*d - 870*d for d. -3 Solve 1144*l + 696*l - 8125 + 64015 = -28750 for l. -46 Solve -1376*w - 4853145 = -4894425 for w. 30 Solve -6*n + 5 = -147 - 71 + 463 for n. -40 Solve -278 + 79799 = -2039*d for d. -39 Solve -431*t - 14*t = -148*t - 16929 for t. 57 Solve 2696*z - 37011 = -99019 for z. -23 Solve 42826 = 3790*r + 406666 for r. -96 Solve 0 = -711*g + 803*g + 736 for g. -8 Solve 12553 = 2915*p - 176973 - 5779 for p. 67 Solve -1105*o + 229*o - 35912 - 21904 = 0 for o. -66 Solve -127 + 25 = -17*r for r. 6 Solve 0 = -49*v + 419 + 450 + 1140 for v. 41 Solve 29*k + 907*k - 57150 = -721*k + 387*k for k. 45 Solve 1437*t - 25135 - 21572 + 13656 = 0 for t. 23 Solve 1700 + 3145 + 3435 = 92*u for u. 90 Solve -135856 = -341*o - 1308*o + 372*o - 1149*o for o. 56 Solve 3*o + 6641 = -18*o + 6*o + 5831 for o. -54 Solve 424*c = -247*c - 308*c - 88110 for c. -90 Solve 1352 + 730 = 60*l - 138 for l. 37 Solve -106732 = -374*q - 102992 for q. 10 Solve -304*x + 300 = 699 - 1919 for x. 5 Solve 183*y - 2804 = -193*y + 415*y - 35 for y. -71 Solve -846*t = 826*t - 28*t - 31236 for t. 19 Solve 618*m + 446*m + 706*m = 261*m - 89031 for m. -59 Solve -8004 + 30386 = -157*s - 99*s - 105*s for s. -62 Solve 266628*m + 725 = 266603*m for m. -29 Solve 8812*y + 165599 + 351781 = 30261 - 173781 for y. -75 Solve -1748*x - 60885 = -395*x for x. -45 Solve 954*n - 2409*n - 17460 = 0 for n. -12 Solve -6799*s = -4928*s - 166519 for s. 89 Solve 31280*r - 5167 - 1808 = 31187*r for r. 75 Solve 170*s - 567*s + 45313 = 612*s + 107871 for s. -62 Solve 8043*y = 2748*y - 598335 for y. -113 Solve -686*v - 6717 = -26611 for v. 29 Solve -24*p + 4312 = -81*p - 335*p for p. -11 Solve 58230*c - 58093*c + 1233 = 0 for c. -9 Solve -10381 - 20893 = 823*i for i. -38 Solve -773*l - 732*l - 330 = -1515*l for l. 33 Solve -803*k + 20268 = 886*k for k. 12 Solve -444*z - 765*z - 43830 = -235*z for z. -45 Solve -165 = 1269*s - 1217 - 30673 for s. 25 Solve -262*t + 6697 - 11833 = 59*t for t. -16 Solve 2088*q - 78 = 2086*q for q. 39 Solve 1119*h - 159*h + 24000 = 0 for h. -25 Solve -102211 = 196*z - 117891 for z. 80 Solve -36566012*x + 10230 = -36566198*x for x. -55 Solve 0 = 600*c - 676*c + 184*c + 4752 for c. -44 Solve 175014*l = 174860*l - 18172 for l. -118 Solve -1149*s - 9690 = -487*s - 472*s for s. -51 Solve -15041239*g + 13855 = -15041076*g for g. 85 Solve -6919*u + 9605*u - 53720 = 0 for u. 20 Solve -6297*l + 88494 = -750*l + 774*l for l. 14 Solve 12999 = -22*a + 24080 - 12203 for a. -51 Solve 78012*h + 54670 = 77515*h for h. -110 Solve -1344*d + 15988*d + 2078 - 70753 = 356001 for d. 29 Solve -979*o - 566*o = 9468 + 32247 for o. -27 Solve 512*l + 35*l = -28*l + 21275 for l. 37 Solve -2342 - 2292 = -149*t + 3610 + 3378 for t. 78 Solve 28*v - 13*v + 25*v - 952 = 6*v for v. 28 Solve 4171*n + 6444*n + 1781757 - 37588 = -6654*n for n. -101 Solve 65*u - 25724196 = -25725431 for u. -19 Solve 166470 = 2849*j - 246548 + 136665 for j. 97 Solve 79*y - 2055 + 1453 = -35*y - 1400 for y. -7 Solve 71550 = 401*i - 2786*i for i. -30 Solve 2944 - 726 = 94*a - 11*a - 2015 for a. 51 Solve -1131 + 1980 = -100*f - 4484 - 4967 for f. -103 Solve 0 = 95*n + 8665 - 12465 for n. 40 Solve 72426 = -1983*d - 33572 - 7033 for d. -57 Solve 235835 = -463*j + 234446 for j. -3 Solve -3101*k = 97*k + 313463 + 92683 for k. -127 Solve -4923*s - 22663 - 19532 = -104363 - 188905 for s. 51 Solve 390*f + 336*f = 258*f - 30420 for f. -65 Solve 1312 = 747614*h - 747655*h for h. -32 Solve 55*c = 78*c + 197*c - 4596 - 684 for c. 24 Solve -5*s + 39*s + 864 = 5*s - 7*s for s. -24 Solve -103*u = 690966 - 695807 for u. 47 Solve 350*l - 735*l - 12705 = 0 for l. -33 Solve 65*a = -99060235 + 99055945 for a. -66 Solve 109*m = -221*m - 360*m - 165*m - 79515 for m. -93 Solve 0 = 681*o + 1285*o - 98300 for o. 50 Solve 295*u = 7*u - 7753 - 4919 for u. -44 Solve -8805 + 48351 = -118*k + 456*k for k. 117 Solve 2276*d - 75551 + 32537 = 87635 + 65087 for d. 86 Solve 54*o + 18*o - 134 = -5*o + 405 for o. 7 Solve -21264 - 70488 = 1616*h + 3592 for h. -59 Solve -35*t = 57*t + 60*t - 50*t + 816 for t. -8 Solve -271878 = -7235*a + 147752 for a. 58 Solve -9138*n = -9832*n + 72870 for n. 105 Solve -19*z + 9*z - 105 = -7*z for z. -35 Solve -108*v - 113*v + 238*v = 68*v + 816 for v. -16 Solve -18*v - 1091 - 1296 = 60*v - v for v. -31 Solve -212*c - 12328 = 138*c - 166*c for c. -67 Solve 44906 = -320*k + 3325*k + 141066 for k. -32 Solve 1535*t - 1464 = -3550 - 8659 for t. -7 Solve 541*f - 7590 = 1216*f - 537*f for f. -55 Solve 0 = -338*p - 4622 + 16452 for p. 35 Solve -3363*t + 286998 = -532*t + 4109*t - 157162 for t. 64 Solve -4405265*n = -4404693*n + 25740 for n. -45 Solve 462*r - 195740 = 7902*r + 2087*r + 928446 for r. -118 Solve -1597*c + 4110*c = 1659*c - 46970 for c. -55 Solve -446*r - 223*r + 734 = -49*r - 3606 for r. 7 Solve 1870*p + 431262 = 7873*p + 1563*p for p. 57 Solve -232*s + 1523939 = 1521387 for s. 11 Solve -768*z = -972*z - 1253*z - 23046 - 4637 for z. -19 Solve 114*i = 144*i + 1260 for i. -42 Solve -942*k + 79327 = -28246 + 29387 for k. 83 Solve 248*b + 5318 - 1598 = 0 for b. -15 Solve -1723*m - 251712 = 4901*m for m. -38 Solve -443741 = 194*a - 445099 for a. 7 Solve -1130948*n = -1130862*n for n. 0 Solve 42*q = 38807 - 34985 for q. 91 Solve 0 = -1909182*y + 1909224*y - 17 + 1487 for y. -35 Solve -1995 + 5562 = 205*i - 5248 for i. 43 Solve 0 = 48132*j - 48175*j + 1978 for j. 46 Solve -1585*m + 19034 = 64999 for m. -29 Solve -1270*h + 666 = -1196*h for h. 9 Solve 23762*t = 23445*t - 19337 for t. -61 Solve 15336284*b - 175 = 15336277*b for b. 25 Solve 1258*u + 1228*u = 2789*u + 9393 for u. -31 Solve -7525 + 41401 = -667*r - 272*r - 943*r for r. -18 Solve 1086*g = 1692*g + 23028 for g. -38 Solve -424 + 550 = -409*g - 1101 for g. -3 Solve -128*z + 9*z - 1759 = 6 + 2043 for z. -32 Solve 0 = 583*q + 9505 - 28161 for q. 32 Solve 60*j + 34 = -249 - 247 + 170 for j. -6 Solve -9338 = 98*n - 4242 for n. -52 Solve -2453 + 584 = -185*g - 438*g for g. 3 Solve -202*y + 2624 = 27*y - 65*y for y. 16 Solve 35032 = -1276*u - 24940 for u. -47 Solve 842 - 3264 = 31*g + 709 for g. -101 Solve 7904 = -787*b + 127*b - 4636 for b. -19 Solve 1792 = 174*q + 5644 + 2586 for q. -37 Solve -7*r + 297257 = 297166 for r. 13 Solve 283*u - 518*u - 93 = -266*u for u. 3 Solve 349798 = -4547*w + 10578*w for w. 58 Solve 75*f + 12027 = -117*f + 4155 for f. -41 Solve -33*y + 171*y = 6*y - 107*y + 7170 for y. 30 Solve -57*f - 119*f = -151*f + 100 for f. -4 Solve 842*k - 23094 = 16416 + 8988 - 3872 for k. 53 Solve -13350 = 208*y - 5238 for y. -39 Solve -1282*i = -728*i - 631*i - 462 for i. -6 Solve 0 = 64*a + 37 + 136 + 41 - 22 for a. -3 Solve 0 = 326796*h - 326812*h + 291 + 1421 for h. 107 Solve -2325*r - 116836 + 449311 = 0 for r. 143 Solve -1275*b + 394*b + 420*b = -419*b - 2730 for b. 65 Solve -79513 = -3355*m + 1317*m - 18815 + 28974 for m. 44 Solve -194*x + 13238 - 2233 = -15576 - 1549 for x. 145 Solve -588*y + 6237 = -290 + 647 for y. 10 Solve 443*i + 77526 = -871*i for i. -59 Solve -201*d - 127 = -1896 - 2050 for d. 19 Solve -140*c - 1680*c + 219120 = 919*c for c. 80 Solve 2813*y + 69000 + 334962 = -9757*y + 2212*y for y. -39 Solve 1863*x - 1078*x - 1995 = 1070*x for x. -7 Solve -68348 - 61449 = 2107*p - 11805 for p. -56 Solve -783*q + 3215 = -644*q - 7827 - 1885 for q. 93 Solve 241276*t = 240956*t - 8204 - 13556 for t. -68 Solve 284*o + 184 = 635*o - 323*o - 2448 for o. 94 Solve -81*f + 1946 + 40598 = 548*f + 3546 for f. 62 Solve -73*f + 83997 = 1304*f for f. 61 Solve 489 = -617*h - 32212 for h. -53 Solve 166*h - 1941 = 800 + 542 - 793 for h. 15 Solve -596 = -265*j + 5803 + 2611 for j. 34 Solve 2326*r - 1066
{ "pile_set_name": "DM Mathematics" }
7)*(-2*l - 3*l + 2*l)*(7*l - 5*l - 8*l)*(l + 0*l + l) in the form n*l**2 + c*l + h*l**3 + j and give h. 108 Rearrange -49*i**3 + 96*i**3 - 12 - 49*i**3 - 222 to u*i**2 + m + v*i**3 + y*i and give v. -2 Rearrange 52 - 17 - 19 - 16 - 1336*u to t*u + q and give t. -1336 Rearrange (-493 + 655 + 670)*(-2*z**2 - z + z)*(4 - 2 - 1) to the form p*z + f*z**2 + x and give f. -1664 Rearrange 2*b**3 + 3*b**2 - 9 + 2*b - 51 + 47 to p*b**3 + d + v*b**2 + l*b and give v. 3 Express -2 - 3*o**4 + 9579*o**3 + 3 - 9581*o**3 - 4*o in the form l*o**3 + b*o**2 + c*o**4 + f*o + m and give c. -3 Express (-2*p + 6*p - 3*p)*(-6 - 9 + 2)*(p**3 - 3*p**3 + p**3) as z*p**4 + v*p**3 + r*p**2 + l + w*p and give z. 13 Express (-6*s**3 + 4*s**3 + 4*s**3)*(-60*s - 105*s + 428*s) as j + o*s**2 + x*s**4 + g*s + z*s**3 and give x. 526 Express (-1 + 3 + 1)*(-2*i - i + 0*i)*(2*i - 2*i - i)*(-28 + 19 - 33) as x*i + r + b*i**2 and give b. -378 Express -25*p - 146*p - 30*p as v + a*p and give a. -201 Express ((-a + 4*a - 5*a + 2)*(-41 - 13 - 11) + 5*a + 5*a - 5*a)*(1 - 1 + 1) as u + l*a and give l. 135 Express -11 + 11 - 7*a - 3*a + 5*a + 0*a + (2*a + 0*a - 3*a)*(-2 - 2 + 5) + 4*a + 3*a - 3*a + 1 + 2 - 3*a - 5 as q + y*a and give q. -2 Rearrange -1 + u + 1 + (-10 - 19 + 9)*(1 + 7 - 4)*(-2 + 2 + u) to the form w + p*u and give p. -79 Express ((0 - 5 + 4)*(-5*u + 0*u + 2*u) + (10*u + 10*u + 15*u)*(2 + 4 - 3))*(2 - 2 - 1) in the form n*u + l and give n. -108 Rearrange (5 - 1 - 2 - 1 + 1 + 7 + (-1 + 0 - 1)*(1 + 1 - 3) + 5 - 1 - 2 - 4 + 3 + 2 + 3 - 2 + 1)*(8 - 1 - 11*d - 7) to o + n*d and give n. -176 Rearrange 9*i + 4*i - 20*i**2 - i**3 + 7*i - 19*i + i to the form j*i + x*i**3 + r*i**2 + p and give x. -1 Rearrange (-13*j**2 + 17*j**2 - 45*j**2)*(-13 + 2 + 8)*(-1 + 1 - j) + 2*j**3 - 3*j**2 + 3*j**2 to t*j**2 + z*j**3 + g*j + d and give z. -121 Express -5 + 5 - 242*u + 11*u as c + q*u and give q. -231 Rearrange 2*u**2 + 16*u + 2 - 19*u - 55*u to x*u + h + b*u**2 and give h. 2 Express -13 + 0*r + 0*r + 1 + 2*r in the form m*r + c and give m. 2 Express 106*b**4 - 71*b**4 - 3 - 55*b**4 + b**2 as p*b**3 + n + r*b**2 + y*b**4 + l*b and give r. 1 Express (2*o**2 - 2*o**2 - 2*o**2)*(818*o - 1504*o + 830*o) as k + d*o**2 + s*o**3 + b*o and give s. -288 Express (16*t - 16*t + 14*t)*(-4*t - t + 4*t) + (-2 - 1 + 4)*(-2 + 2 + 2*t**2) in the form l*t + z*t**2 + d and give z. -12 Express -476*h + 478*h + 4*h**4 - 3 + h**2 + 0*h**4 as y*h**3 + c*h + k*h**4 + l*h**2 + g and give k. 4 Rearrange (-240*a - 2374 + 2374)*(3*a - 5*a + 0*a) to s*a**2 + t*a + h and give t. 0 Express (-2*g - g**2 + 2*g)*(3*g + 105317 - 105123 - g) in the form c*g + p*g**2 + t*g**3 + q and give t. -2 Express -51*j**3 + 17*j**3 + 2*j**4 + 11*j + 18*j**3 + 18*j**3 + 3*j as v*j**3 + l + w*j + x*j**4 + i*j**2 and give v. 2 Express -10*x + 16*x - 136*x + 1 in the form o + h*x and give h. -130 Express (-30 + 41 - 175)*(-o + o - o)*(o - o + 2*o**3) as v*o + s*o**3 + d*o**4 + q*o**2 + p and give d. 328 Express 683*a - 3544*a - 1586*a + (-2*a - 4*a + 4*a)*(0 + 2 - 3) in the form g + v*a and give g. 0 Rearrange 10*g**3 - g**2 + 0*g**3 + 335*g - 5 - 667*g + 330*g + 0*g**3 to the form x*g**2 + q*g + t + k*g**3 and give t. -5 Rearrange -97*a**2 + 162*a**2 - a - 64*a**2 + 74 to the form d*a + b + c*a**2 and give d. -1 Express 16 + 13 + 193*f - 38 + 9 as m*f + p and give m. 193 Rearrange (-2 + 2 + 2)*(0 - 59 - 18)*(2*f - 4 + 4)*(4 + 0 - 2) to z + s*f and give s. -616 Rearrange 769*p**2 - 1539*p**2 - 697 + 770*p**2 + 2*p**3 to t*p**2 + o*p + v*p**3 + l and give v. 2 Rearrange (-o + 0*o + 0*o)*(0*o - o + 2*o)*(o + o - 4*o)*(-163*o + 83*o - 284*o) to the form l + n*o**4 + q*o**3 + d*o**2 + p*o and give n. -728 Rearrange 3*c**2 + 11*c**2 - 7*c**2 + 9*c**2 - 11*c**3 to the form u*c**2 + d*c + i*c**3 + m and give i. -11 Rearrange (2*z + 3*z - 2*z)*(0*z + 2*z**3 + 0*z) - z - 13*z**4 - 16*z**4 - 62*z**4 to the form q*z**4 + y*z + f*z**2 + g*z**3 + w and give y. -1 Express -3*o**3 - 428*o + 426*o + 2 + 34 + 3*o**3 + 4*o**4 in the form r*o**4 + b*o + l*o**3 + s + v*o**2 and give b. -2 Rearrange 473 + 2*q**4 + 476 - 957 - 23*q + 0*q**4 to v*q**2 + t + f*q + z*q**3 + r*q**4 and give r. 2 Rearrange 1928*k**3 - 297*k - 320*k - 965*k**3 - 962*k**3 to the form n*k + u + a*k**3 + l*k**2 and give a. 1 Express (-12*x + 27*x - 17*x)*(5 - 1 - 1 + 1 + 1 - 4 + (-1 + 1 - 1)*(-2 + 3 + 0) + 5 + 5 - 4) as p + u*x and give u. -12 Rearrange (3*h**2 - 2*h**2 + 0*h**2)*(-335*h - 336*h + 1014*h - 342*h + 358) to the form g*h**2 + z*h**3 + b*h + n and give b. 0 Express -3*q**3 + q**2 + 1682*q - 1682*q + 14 in the form d + p*q**3 + s*q**2 + j*q and give d. 14 Rearrange (6 + 2 + 19)*(-11*s - 8*s + 8*s) - s - 3*s + 5*s to the form z*s + a and give z. -296 Rearrange (-63 + 63 + 12*o**2)*(-2 + 6 - 2 - 3*o + (-1 - 1 + 0)*(2*o + 2*o - 5*o)) to the form v*o**3 + k + m*o + x*o**2 and give x. 24 Rearrange -4*m - m**4 + 4*m - 44*m**3 - 1 + 4*m**2 + 18*m**3 + m - m**4 to v*m**3 + y*m**2 + n + l*m**4 + r*m and give l. -2 Express 14*h**2 + 8641 + 305*h**2 - 8641 in the form r*h**2 + a*h + j and give r. 319 Express 24*f + 226 - 444 + 213 as t + p*f and give t. -5 Rearrange (105*z - 212*z + 28*z**2 + 99*z)*(-3 - 1 + 6)*(1 + 0 - 3 + (-2 + 1 + 0)*(-4 + 2 + 3)) to j*z**2 + u + d*z and give u. 0 Express (3 - 2 - 14)*(33 + 24 - 115)*(-c**3 - 2*c**4 + 0*c**4 + 2*c**3) as s*c**2 + w + t*c + g*c**3 + d*c**4 and give d. -1508 Express (-14 + 3 - 1)*(14 - 2*i + 12 - 18) in the form o + b*i and give b. 24 Rearrange (2 - 3 - 2)*(3 + 9 - 5)*(3 + 0 - 15)*(-2*n**3 - 2*n**3 + 0*n**3) to a*n**2 + r + i*n + o*n**3 and give r. 0 Express (-2*c + 2*c - 3*c**2)*(0*c + 3*c + 6*c) - 5*c**3 + 4*c**3 - 6*c**3 as r*c**2 + n*c + v*c**3 + b and give v. -34 Rearrange 296*u + 44*u + 70*u to r + i*u and give i. 410 Rearrange d + 0*d - 3*d + (-20 + 62 - 25 + 184)*(-2*d + 0*d + 3*d) to the form g + c*d and give c. 199 Express 0 - 12*a**2 - 1 + 14*a**3 - 2*a**3 + 2*a + 2*a**3 - 5*a**3 as x + t*a + u*a**3 + y*a**2 and give x. -1 Rearrange -21*a - 137*a - 66*a to the form z + m*a and give m. -224 Express 3*y**2 - 46 + 13 + 33 - 42*y in the form w*y + h*y**2 + u and give w. -42 Express -16*a**2 + 3*a**3 - a**3 + 10*a**2 - 478*a**4 + 7*a**2 as n*a**3 + q*a**2 + w + m*a**4 + u*a and give m. -478 Express -28*k**3 + 46*k**3 - 4*k**3 - 9*k**3 + 723 - 6*k**3 as z + w*k**2 + r*k**3 + i*k and give w. 0 Rearrange (-4*m + 4*m - 2*m)*(-6*m**2 - 11*m + 12*m + 3*m) to the form j*m + r + t*m**2 + y*m**3 and give y. 12 Express -2182*s + 3 - 9 + 3*s**3 + 2*s**4 + 2178*s as x*s**2 + n*s**3 + f*s + b*s**4 + h and give f. -4 Express -2*b + 10*b - 171*b**2 + 179*b**2 as q*b**2 + m*b + u and give q. 8 Express 4 - 4 + 4*j + (-3 + 5 - 1)*(7 + j - 7) - 4*j + 2*j + 12*j in the form d + f*j and give f. 15 Rearrange 2 - 21*t**2 + 42*t**2 - 2*t - 77*t - 22*t**2 to d*t + b*t**2 + w and give d. -79 Rearrange 27909*y**2 + 4*y - 54 - 4*y - 27899*y**2 to j*y + d*y**2 + b and give b. -54 Rearrange -8*v - v**2 + 13*v + 0 - v + 5 to b*v**2 + x*v + h and give x. 4 Express 509 - 1413 + 2*f - 591 + (-2 + 0 + 4)*(-2*f + f - f) in the form k*f + h and give k. -2 Express ((-3*a**2 - a**2 + 5*a**2)*(5 - 2 + 3) - 2*a**2 + 0*a**2 + 4*a**2)*(-3*a**2 + 2*a**2 + 2*a**2) as p*a**2 + k*a**3 + l*a**4 + h*a + j and give l. 8 Express 73*k + 186*k + 27*k + 36*k as t*k + q and give t. 322 Rearrange 184*j**2 + 140 - 64 - 76 to r*j + f + h*j**2 and give h. 184 Rearrange -20 - 3*h + 7*h + 30*h - 7*h to the form n + f*h and give f. 27 Express 10433 - 10433 + 226*v in the form g + y*v and give y. 226 Express -14*z - 25*z**2 + 24*z**2 + 39*z**3 - 43*z**3 in the form y + l*z + d*z**3 + a*z**2 and give l. -14 Rearrange -2*o + 8*o**2 + 16*o - o + 17*o - 16*o**2 to the form r*o + n + u*o**2 and give u. -8 Rearrange -63 + 64 - 7*q**3 - q + 15*q**2 - 16*q**2 to m*q + n + o*q**2 + u*q**3 and give u. -7 Express 1 - o**4 + 49883*o + 2*o**4 - 49884*o + 34*o**3 - 3*o**2 as j*o**4 + u*o + k*o**3 + q*o**2 + i and give k. 34 Rearrange (3 + 0 - 1)*(-2*t - 3*t - 17*t)*(1 - 3 - 2) + 1 - 2*t - 1 to the form z*t + y and give z. 174 Rearrange (-2*p**3 + 17*p**3 + 4*p**3)*(-1 + p + 1)*(0 - 2 + 0) + 8*p**4 - p**4 - p**4 to the form c*p**4 + q*p + l*p**2 + b*p**3 + x and give c. -32 Rearrange (1 + 1 - 3 + (0 -
{ "pile_set_name": "DM Mathematics" }
*3 - 2*a**4 - 6*a to the form p + d*a**3 + r*a + q*a**2 + n*a**4 and give n. -2 Express -21*q + 5*q**3 - 3*q**3 + 2*q**3 - 2*q**3 as c*q**3 + v + t*q**2 + g*q and give g. -21 Express 19*t + 5 - 2 + t + 2*t as a*t + v and give v. 3 Rearrange (-4 + 3 - 1 + (2 + 1 - 1)*(-1 - 1 + 1) + 7 + 2 + 1)*(-7 + 2 - 1)*(2*q + q - 2*q) to the form r + p*q and give p. -36 Rearrange 2 - 2 + 9*q to the form t + p*q and give t. 0 Rearrange 2*l**2 - 5*l**2 + l**2 + (1 - 1 + 3)*(-7*l**2 - 9*l**2 + 0*l**2) to the form d*l + f*l**2 + w and give f. -50 Express (-22*f + 11*f - 25*f)*(-5 + 5 - 5 - 8) as s + v*f and give v. 468 Rearrange 0*p + 1 + p - 3*p + (49*p - 23*p + 28*p)*(3 - 2 - 4) to o + f*p and give o. 1 Express (-p + 4*p - p)*(7*p**2 + 0*p**2 + p**2) + p**3 + 0*p**3 + 0*p**2 - p**2 as c*p + h + i*p**3 + n*p**2 and give n. -1 Rearrange 621 - 2*r**2 - r**2 - 622 + 10*r**4 + 0*r**4 to the form t*r**2 + a*r**3 + n + k*r**4 + u*r and give a. 0 Rearrange -1 - 696*b**4 - 3*b**2 + 2*b**2 + 700*b**4 - b - 2*b**3 to the form d*b + a*b**4 + k + s*b**2 + o*b**3 and give s. -1 Rearrange (14*p**2 - 14*p**2 + 7*p**2)*(3 - 3 + 3*p**2) to d*p**3 + q*p**2 + c*p + s*p**4 + j and give s. 21 Rearrange 2*a - 2 + 2 - 8 + 8 + 11*a + 0*a - 4*a + 5*a + (3 + 0 - 2)*(-2*a - 2 + 2) + 3*a - a + 3*a to the form x + s*a and give s. 17 Rearrange 23*z**2 + 7*z**2 - 9*z**2 + 10*z**2 to the form u*z + c + y*z**2 and give y. 31 Express (h**4 + 0*h**4 - 2*h**4)*(-3 + 0 + 2) + 2*h**4 - 19*h**4 - 11*h**4 as p*h + f*h**3 + u*h**4 + z*h**2 + w and give f. 0 Rearrange 9*u**3 - 2 + 2*u - 4*u**2 + u**3 - 9*u**3 + 0*u**2 to t*u + x + w*u**3 + f*u**2 and give f. -4 Rearrange -3 - 10 + 5 - 2*d to n + t*d and give t. -2 Rearrange s**2 - 9*s**2 - 15*s**2 to c*s + h + f*s**2 and give f. -23 Express (-4*j + 4*j + 4*j)*(-60 + 27 + 27 + (-3 + 3 + 1)*(5 - 3 + 0) + (-2 - 2 + 2)*(0 + 2 - 1)) in the form d*j + a and give d. -24 Rearrange 0*b**2 - 2*b**3 + 0*b**3 - 9*b**2 to f*b**2 + n + s*b**3 + g*b and give s. -2 Rearrange -11*h - 6*h + 2 - 1 - 2 to f*h + l and give f. -17 Express 2 - 2 - d + 3 + 4*d - 3 + (2*d - 2*d + d)*(1 - 4 - 6) as u*d + r and give u. -6 Express 2 - 78*i - 2 + 111*i as b + s*i and give s. 33 Express -3*o**2 + 2*o - 21 + 1 + 4*o**2 as p*o + g*o**2 + c and give c. -20 Express -3*l + 2*l**3 + 1 + 3*l**4 - 6*l**4 + 2*l**4 as m + k*l**3 + j*l**4 + c*l + i*l**2 and give j. -1 Rearrange l + 4*l**4 + l - 4*l**3 + 0 - 2*l**4 + 1 to the form k*l**2 + j*l + h + u*l**4 + y*l**3 and give h. 1 Express -2 - w**3 - 4*w**2 - 25*w - 26*w + 48*w in the form d*w + f + q*w**3 + s*w**2 and give d. -3 Express -2 - 4 - 32*v + 6 as a + p*v and give a. 0 Rearrange l**2 - 4 + 4 + 3*l**2 + 0*l**2 - 5*l**2 + (7*l + 2 - 2)*(-l + 2*l + l) to n + i*l + k*l**2 and give k. 13 Express 2*b + 5*b + 0*b - 2*b as d + m*b and give m. 5 Express 2*q**4 - 19*q**2 + 18*q**2 + q**4 + 2*q**3 as b*q**3 + s + c*q**4 + d*q + m*q**2 and give c. 3 Rearrange (2*t + 0*t - 3*t)*(-5 + 5 + 3*t**2) + (2 + 2*t - 2)*(-13*t**2 - 2*t**2 - 3*t**2) to the form u*t**3 + i + g*t**2 + k*t and give k. 0 Express (-1 - 3 + 3)*(-5*i + 7*i + 5*i + (-25 + 25 - i)*(-4 - 1 + 6)) in the form x*i + f and give f. 0 Rearrange -8*w**2 + 2*w**2 + 2*w**3 - 1 - 3*w**3 + 3*w**2 to the form o*w**2 + d + k*w + g*w**3 and give o. -3 Rearrange -41 + 11*a + 41 + (-1 + 0 - 1)*(-4 - a + 4) + 0 + 0 - 4*a to the form y*a + c and give y. 9 Express -103 + 32 + 16 + 26 - p**2 as m*p**2 + s*p + y and give s. 0 Express -3*n**2 - n**3 + 3*n**2 + (0*n**2 - n**2 + 15*n**2)*(0 - 4*n + 14*n + 1) in the form y + x*n + u*n**2 + s*n**3 and give u. 14 Express -113 - 2*u**2 + 113 + 2*u + 2*u**4 - u**3 as x*u**4 + z*u + s + f*u**2 + o*u**3 and give f. -2 Rearrange -38*n**2 + n**3 + 8 + n**3 + 38*n**2 to t*n**3 + f*n**2 + d + m*n and give d. 8 Rearrange (-6*u**2 + 3*u + 5*u**2 - u + 2)*(-3*u - 4*u - 4*u) to the form w*u + q + h*u**2 + x*u**3 and give x. 11 Express -7 + 18 + 0*a**4 + a**4 - 7 - 5*a**2 as m*a**2 + u*a**3 + w*a + n + r*a**4 and give m. -5 Express 3*o**2 - 13*o**2 - 55 + 9*o**2 + (-o + o + 2*o)*(1 - 1 + o) as u*o**2 + t + l*o and give u. 1 Rearrange -f**3 + 0*f**4 + f**4 - 2 - 3*f**2 - 2*f**4 + 0 to r*f + w*f**2 + z*f**4 + s + b*f**3 and give w. -3 Express (-4*l + 4*l + l + (-6 + 2 + 0)*(3*l - 2*l - 2*l))*(1 - 2*l**2 - 1)*(-l + 2 - 2) as y*l**2 + b*l**4 + w*l**3 + n + x*l and give b. 10 Rearrange 2*k**3 + 0*k**2 - 5*k**3 - 2*k**4 + 0*k**3 + 2 + k**2 to the form m + n*k**4 + u*k**3 + r*k**2 + t*k and give m. 2 Rearrange -5 + q + 5 + 3*q - 4*q + 3*q + 0 + 0 + 5*q + (0 - q + 0)*(-3 - 2 + 4) to the form a*q + l and give a. 9 Rearrange (5*x**2 + 0*x**2 - 3*x**2)*(-1 + 0 - 1)*(32*x - 8*x**2 - 32*x) to c + j*x**3 + d*x**2 + a*x**4 + m*x and give j. 0 Express -35*i + 2*i - 4*i - 3*i as x*i + c and give x. -40 Express -5*a + 0*a - 3*a - 8*a in the form g*a + s and give g. -16 Rearrange (-2*j + j + 9*j + (-2 + 3 + 1)*(2*j - 2 + 2))*(4*j - 2*j - 4*j) + 6*j**2 - 3*j**2 - 2*j**2 to a + k*j**2 + w*j and give k. -23 Rearrange (-g**2 - 1 + 1)*(-g + g + g) + 3*g**3 + 0 + 0 + 5 - 5*g**3 - 5 to w*g**2 + x*g**3 + u*g + t and give w. 0 Express -1 + 13*w**4 - 35*w**4 - 24*w + 27*w as z*w + h*w**4 + r + d*w**3 + c*w**2 and give h. -22 Express (-25*d - d + 4*d + (1 + 1 + 0)*(-2*d + 0 + 0) + 0*d - d + 0*d)*(-5*d + d + d) as j + h*d + c*d**2 and give c. 81 Express 3*v**2 + 5*v - 8*v - 3*v as j*v**2 + z + f*v and give f. -6 Rearrange (7*u - u - 4*u)*(3 + 2*u**2 - 3) - 4*u**3 + 14*u**3 + 3*u**3 - 2*u**3 + 2*u**3 + u**3 to the form t*u**3 + s*u + z*u**2 + a and give t. 18 Rearrange (2 - 5 + 1)*(7 + 1 - 2)*(-3*j**2 + j**2 + 3*j**2) to the form c*j**2 + r*j + p and give c. -12 Express -12*c - 6*c + 3*c as p + r*c and give r. -15 Express -17*v**2 + 39*v**2 + 23*v**2 as r*v + d*v**2 + q and give d. 45 Express -19*b**2 + b**2 - b + 79 - 77 - b**2 in the form u*b**2 + h + m*b and give m. -1 Rearrange -k + 2 - 2 - 3*k - 3*k + 2*k + (3 - 3 - 2*k)*(0 + 2 + 1) + k - 4*k + k - k - 2*k + 2*k + (-1 + 3 - 4)*(-2 + k + 2) to the form t + o*k and give o. -16 Express t**2 - t**2 - 2*t**2 + t**2 - 4*t**2 + t**2 + 8*t**2 + t**2 - 4*t**2 + (6*t - 2*t - 3*t)*(-6*t + t + 3*t) as v*t**2 + a + r*t and give v. -1 Rearrange -13*n**2 - 12*n**2 - 5 + 34*n**2 - 3 to b*n**2 + x + d*n and give x. -8 Express 10*y**2 + 2 + 7 - 9 in the form u*y + g*y**2 + v and give g. 10 Express -2*r + 4*r**4 + 0*r + 77 - 75 + 2*r**3 in the form g*r**3 + f*r + u*r**4 + q*r**2 + a and give f. -2 Express 6*j - 20*j - 28*j as t + w*j and give w. -42 Express (-3 + 2 + 0)*(0 + 2*s + 0) + (-8*s + 219 - 219)*(7 - 4 - 1) as i + p*s and give p. -18 Rearrange -p + 25*p - 2232 + 2232 to the form w + z*p and give z. 24 Rearrange 4 - 2 - 70*s + 67*s + 2*s**4 to p + j*s**3 + c*s**2 + v*s + y*s**4 and give y. 2 Express (0*i - i - 3*i)*(1 + 3 + 1)*(i - 2*i + 2*i) + (2*i - 5*i + i)*(4*i + i - 4*i) in the form h + g*i**2 + l*i and give g. -22 Rearrange -21*x**4 - x**4 + 3*x**4 - x**2 + 7*x**4 + x**3 to the form t*x**4 + n*x + b + y*x**2 + c*x**3 and give y. -1 Rearrange -64*d + 7*d - 25*d to k + u*d and give u. -82 Rearrange -6*y - 14*y + 23*y - 20*y to the form s*y + v and give s. -17 Express 3*w + 18*w**2 + 5 + w**4 - 2*w**3 - 18*w**2 in the form t*w**2 + f + x*w**4 + b*w**3 + u*w and give x. 1 Rearrange -2 - l**2 - 112*l**4 - 2*l - l**3 + 113*l**4 + 2*l**2 to t*l**4 + m*l + g*l**3 + a*l**2 + j and give a. 1 Express 3*w + 0 + 0 + (-2 - 2 + 3)*(5 - 5 + 2*w) + 0 - 3 + 5*w + 1 in the form j + x*w and give j. -2 Rearrange (19 - 19 - 6*b)*(1 + b - 1 + (1 - 3 + 4)*(b + b - 3*b) + 2*b + 3 - 3 + 3*b + 4*b - 5*b) to the form r*b**2 + d + h*b and give r. -18 Express 3*a - a - a + (-a - 6*a + 2*a)*(-1 - 3 + 2)*(1 + 0 - 3) as j*a + b and give b. 0 Rearrange 103*q - 2*q**3 - 103*q - 2*q**2 - 1 to the form d + m*q**2 + a*q**3 + i*q and give a. -2 Express -18*t - 19*t - 2*t**4 + 26*t + 2 + t**2 as x*t**2 + u + r*t**3 + a*t + f*t**4 and give a. -11 Rearrange (-1 - 2 + 4)*(-2*t**3 + 2*t**3 + 2*t**3) to the form u*t**2 + r*t**3 + l*t + n and give r. 2 Rearrange -1 + 0 + 3*o**2 + o + o**4 - 4*o**2 to the form j*o**2 + v*o**4 + t + y*o**3 + h*o and give v. 1 Rearrange (-1 - 2 - 7)*(-3 - 1 + 5)*(-c**3 + 0*c**3 + 2*c**3 - 3*c**2) to the form r*c + a*c**3 + w*c**2 + p and give w. 30 Rearrange -2 -
{ "pile_set_name": "DM Mathematics" }
(i). Let r(n) = 6*n - 24. Let t be r(5). Let a(w) = -t*w**2 - w**2 + 4*w**2. Give a(x(g)). -27*g**2 Let x(n) = n**2. Let d(i) = 15*i**2 + 5*i. Calculate d(x(r)). 15*r**4 + 5*r**2 Let x(q) = 2*q**2. Let r(m) = 5*m - 1 - 11*m - 11*m + 4. Let d(u) = 16*u - 4. Let p(w) = -3*d(w) - 4*r(w). Determine x(p(a)). 800*a**2 Let k(z) be the second derivative of -z**3/6 + z**2/2 + 2*z. Let s(g) = -8*g + 10. Let c(i) = -10*k(i) + s(i). Let l(u) = -3 - 2 - 18*u + 5. What is c(l(a))? -36*a Let p(q) = 5*q - 2*q - 2*q. Let t(i) be the first derivative of i**3/2 + 16*i + 20. Let g(u) be the first derivative of t(u). Give g(p(s)). 3*s Let l(z) be the second derivative of z**3/6 - 117*z - 2. Let j(c) be the second derivative of 4*c**4/3 + 2*c. What is j(l(w))? 16*w**2 Let x(a) = -4*a**2 - 28*a + 28*a - 16*a**2 - 6*a**2. Let n(o) = 7*o. Determine n(x(b)). -182*b**2 Let h(p) = -2*p**2. Let v(t) = -1821*t**2 - 40. Give v(h(s)). -7284*s**4 - 40 Let c(p) = -2*p**2. Let u(f) = -1067*f**2 + 6*f. Give u(c(k)). -4268*k**4 - 12*k**2 Let t(i) = 7*i**2 - 27*i**2 + 13*i**2. Let b(d) = d - 1. What is b(t(w))? -7*w**2 - 1 Let y(b) = 11*b. Suppose 0 = -3*o + 25 - 7. Let f(j) = -2*j - 6*j + o*j. Calculate y(f(w)). -22*w Let h(d) = -9*d - 3927 + 3927 + 20*d. Let s(k) = -2*k**2. Calculate h(s(b)). -22*b**2 Let w(z) = -15*z**2. Let v(f) = -513*f**2 + 1. Determine v(w(o)). -115425*o**4 + 1 Let k(h) = -h. Suppose 5*z - 20 = -5. Let y be -1*(44/(-4) + 1). Let t(x) = -z*x**2 + 6*x**2 + y*x - 10*x. Calculate k(t(c)). -3*c**2 Let a(f) = -2*f. Let y(t) = 196*t + 44*t - 67*t + 302*t + 234*t. Determine a(y(r)). -1418*r Let y(z) = -5*z**2. Suppose 3*i + 11 = 26. Suppose 1 = i*k - 14. Let d(g) = -4*g + 0*g + k*g. Give d(y(j)). 5*j**2 Let n(o) = -21788*o. Let j(w) = -15*w**2 - 3. Determine n(j(p)). 326820*p**2 + 65364 Let y = 1 - -1. Let w be -4*(3 + 7/(-2)). Let u(m) = 6 - w*m - y - 4. Let n(f) = 5*f**2. Give u(n(c)). -10*c**2 Let n(p) = p. Let s(x) = 3*x. Let m(z) = 16*z + 2. Let c be m(-1). Let a be ((-3)/2)/(7/c). Let r(g) = 3*g. Let t(d) = a*r(d) - 4*s(d). Give t(n(f)). -3*f Let u(y) be the third derivative of -y**4/12 + 337*y**2. Let k(d) = 44*d - 4. Calculate k(u(x)). -88*x - 4 Let q(v) = 3*v. Let k(w) be the third derivative of 0*w + 0 + 0*w**3 - 6*w**2 + 5/24*w**4. Give k(q(f)). 15*f Let r(d) = -5*d**2. Let s be ((2 + -2)/(16 + -12))/(-1). Let x(b) be the third derivative of s + 0*b**3 - 1/60*b**5 + 0*b**4 - b**2 + 0*b. Give x(r(m)). -25*m**4 Let u(i) = 5*i**2. Let z(l) = l. Suppose -s + 4*s + 3 = 0. Let m(k) = -2*k. Let t(r) = s*m(r) - 6*z(r). Calculate u(t(w)). 80*w**2 Let d = -8/31 - -86/93. Let w(a) be the first derivative of 1 + 0*a + 0*a**2 + d*a**3. Let m(t) = 6*t. What is m(w(f))? 12*f**2 Let i(w) = -5399*w. Let k(n) = 7*n**2 + 8. Calculate i(k(q)). -37793*q**2 - 43192 Let b(v) = -22*v**2 - v. Let w(d) = 698*d. Determine b(w(a)). -10718488*a**2 - 698*a Let u(q) = -28*q. Let t(w) = -5993*w**2. Give u(t(d)). 167804*d**2 Let l(p) = 10*p**2. Let z be (12/18*-27)/(6/(-4)). Let n(v) = 2*v**2 + 6*v - 6. Let u(h) = h - 1. Let c(g) = z*u(g) - 2*n(g). Calculate l(c(d)). 160*d**4 Let o(s) = 35*s**2. Let v(f) = 389*f**2 + 3. Give v(o(q)). 476525*q**4 + 3 Let h(j) be the third derivative of -5*j**4/24 + 84*j**2. Let g(p) = 14*p**2. What is h(g(x))? -70*x**2 Let f(a) = -a**2 - 3*a + 3. Let i(c) = -4*c**2 - 11*c + 11. Let j(q) = -22*f(q) + 6*i(q). Let s(m) be the third derivative of m**5/15 + m**2. Give j(s(y)). -32*y**4 Let c(h) = 2*h + 0*h + 11*h. Let j(k) be the third derivative of k**5/30 + 41*k**2 + 3*k. Give c(j(i)). 26*i**2 Let c(v) be the third derivative of -v**5/20 - 11*v**2 - 9. Let z(u) = -32*u**2. What is z(c(n))? -288*n**4 Let d(u) = -142802*u**2. Let n(k) = -2*k**2. Give n(d(y)). -40784822408*y**4 Let l(v) = -v - 2. Let a(m) = 282*m + 470. Let c(i) = -a(i) - 235*l(i). Let b(u) = -3*u. Calculate b(c(o)). 141*o Let t(m) = -2*m**2 - 31882. Let i(k) = 2*k. What is i(t(l))? -4*l**2 - 63764 Let y(h) = -26*h. Let r(w) = -1 + 1 + 301*w**2 - 295*w**2. Give r(y(k)). 4056*k**2 Let m(k) = 4*k. Let f(x) = 37*x - 2. Let t(d) = -110*d + 6. Let h(c) = 14*f(c) + 5*t(c). Calculate m(h(i)). -128*i + 8 Let y(n) = 1 + 3 - 4 + n. Let k(q) be the second derivative of q**3 + 5*q. Let u(o) = -6*k(o) + 34*y(o). Let v(t) = -9*t. What is v(u(i))? 18*i Let x(m) = -3*m**2. Let j(d) = 8*d**2 - 25*d**2 + 27*d**2 + 0*d - 4 + 0*d. Give j(x(z)). 90*z**4 - 4 Let q(k) = -2391*k. Let a(g) = -13*g. Give a(q(v)). 31083*v Let c(g) = 6*g**2. Let z(j) = 15*j**2 - j**2 + 17*j - 17*j - 31*j**2. What is z(c(u))? -612*u**4 Let z(x) = -4*x**2. Let n(q) = -4*q**2 + q + 1. Let t(l) = -16*l**2 + 2*l + 2. Let d(b) = 10*n(b) - 5*t(b). What is d(z(m))? 640*m**4 Let m(x) = -x**2. Let u(b) be the third derivative of -b**8/10080 - b**5/4 + 19*b**2. Let q(y) be the third derivative of u(y). Determine q(m(k)). -2*k**4 Let p(v) = -2*v. Let n(w) be the third derivative of -31*w**4/24 + 5*w**3/6 + 27*w**2 - 3*w. Determine n(p(z)). 62*z + 5 Let q(i) = i**2. Let c(v) be the second derivative of v**3/6 - 3*v**2/2 - 31*v. Give q(c(r)). r**2 - 6*r + 9 Suppose 357 = 2*h + 307. Let r(i) = -59*i**2 + 30*i**2 + h*i**2. Let y(x) = -3*x. Determine r(y(o)). -36*o**2 Let k(b) = -2*b**2. Let z(l) = -107*l - 345*l - 102*l - 114*l. Determine z(k(n)). 1336*n**2 Let c(b) = 14*b - 5. Let a(w) = -132*w + 48. Let r(h) = -5*a(h) - 48*c(h). Let n(l) = -3*l**2. Give n(r(u)). -432*u**2 Let t(u) = -84*u + 12. Let g(w) = 1430*w - 208. Let n(a) = 3*g(a) + 52*t(a). Let b(i) = -i. Give n(b(d)). 78*d Let s(v) = -5*v + 7. Let o(l) = 2*l - 3. Let i(g) = 14*o(g) + 6*s(g). Let a(d) be the third derivative of -19*d**4/24 - 2*d**2. What is i(a(b))? 38*b Let i(o) = 282268*o**2. Let l(t) = 2*t. What is i(l(f))? 1129072*f**2 Let k(w) = -5*w + 11. Let u(j) = j - 2. Let n(d) = 2*k(d) + 11*u(d). Let t(a) = -20 + 20 + 3*a. Determine t(n(x)). 3*x Let o(t) = 90*t - 15. Let m(a) = -23*a + 4. Let f(g) = 15*m(g) + 4*o(g). Let x(q) = -3*q. What is f(x(j))? -45*j Let y(x) = 14*x**2 - 56*x**2 + 21*x**2 + 19*x**2. Let p(v) = -53*v**2. Calculate y(p(a)). -5618*a**4 Let z be (0 - 2/4)*8. Let k be -1*((3 - 3) + z). Let f(b) = -3*b + 0*b - 3*b + k*b. Let x(o) = -6*o**2. Calculate f(x(n)). 12*n**2 Let j(p) = 446*p**2 + 441*p**2 - 886*p**2. Let y(m) = 324*m**2. Calculate y(j(z)). 324*z**4 Let u be 10/(-6)*(-24)/20. Let k(n) = 22*n**2 - 42*n**2 + 18*n**u. Let g(m) be the third derivative of m**4/8 + m**2. Give g(k(q)). -6*q**2 Let d(j) = 173*j - 2. Let h(x) = 215*x**2. Calculate h(d(t)). 6434735*t**2 - 148780*t + 860 Let m(i) = 7*i + i - 3*i - 19*i + i. Let g(c) = 2*c + 2*c + c. Give m(g(y)). -65*y Let m(x) = -21*x**2. Let i(d) = 3 + 2 - 1 + 1 - d. Let t(p) be the second derivative of -p**3/3 + 4*p**2 + 2*p. Let r(l) = -8*i(l) + 5*t(l). Calculate m(r(n)). -84*n**2 Let q(d) = 7814*d**2. Let j(y) = 40*y**2. Calculate q(j(i)). 12502400*i**4 Let r(f) = 32*f**2. Let w(c) = 31*c**2. Let b(q) = 4*r(q) - 5*w(q). Let v(s) be the first derivative of s**3/3 - 3. Calculate v(b(k)). 729*k**4 Let c(g) = g + 2. Let k(a) = -1 + 0 - 1 + 1. Suppose 0 = 4*r - 5*s - 6, -3*r - 2*s + 5*s + 3 = 0. Let b(p) = r*c(p) - 2*k(p). Let o(m) = 5*m. Give o(b(q)). -5*q Suppose -20*g = -21*g. Let v(r) = g + 0 + 39*r - 22*r. Let n(t) = -t**2. Give v(n(l)). -17*l**2 Let c(r) = -11*r**2 - 2. Let f(i) = 243*i**2 + 45. Let j(v) = 45*c(v) + 2*f(v). Let n = 39 - 37. Let o(b) = -n*b**2 + 3*b**2 + 39*b - 39*b. Give o(j(z)). 81*z**4 Let v(w) be the third derivative of w**4/24 - 61*w**2 + 5*w. Let r(p) = -924*p. Calculate v(r(n)). -924*n Let t(h) = -36*h. Let j(o) be the third derivative of -8*o**5/15 - 725*o**2 + o. What is j(t(q))? -41472*q**2 Let k(y) = -3*y. Let z(s) = -752*s**2 - 40*s. Determine k(z(a)). 2256*a**2 + 120*a Let k(y) = 239517*y**2. Let x(a) = -9*a**2. Calculate x(k(r)). -516315539601*r**4 Let d(c) be the first derivative of 104*c**3/3 + 112. Let u(v) = -3*v. Give d(u(a)). 936*a**2 Let g(j) = -9*j + 4*j + 2*j - 17*j. Let x(l) be the first derivative of -l**2/2 - 523. Calculate g(x(q)). 20*q Let g(f) = -2*f**2. Suppose 6*d + 17 - 53 = 0. Let b(j) = -512*j**2 + 56*j - 56. Let n(w) = 27*w**2 - 3*w + 3. Let x(k) = d*b(k) + 112*n(k). Determine g(x(v)). -4608*v**4 Let a(f) = 4*f**2 + 0*f**2 - 6*f**2. Let p(b) = b**2 - 9*b**2 +
{ "pile_set_name": "DM Mathematics" }
nd m? 2 Suppose 4*c + 4*n = 1332, 216 = 2*c - 2*n - 438. What is the greatest common factor of c and 90? 30 Let b = 20 - 26. Let q be ((-4)/b)/(4/(-6)). Let s be (-14)/((-4)/2 - q). What is the greatest common divisor of s and 35? 7 Let n be (1496/119)/22 + (-3286)/(-7). What is the highest common divisor of 282 and n? 94 Let b(v) = 2*v**3 - 47*v**2 - 7*v - 345. Let n be b(24). Calculate the highest common factor of n and 18. 9 Let b = -26 - -50. Let l(v) be the first derivative of 5*v**2/2 + v + 18. Let j be l(3). Calculate the highest common factor of j and b. 8 Suppose m + 4950 = 4*l, -5*l + 5126 + 1066 = m. Suppose 4*u - l = -354. Calculate the highest common factor of 17 and u. 17 Let k = 257 - 236. What is the greatest common factor of 105 and k? 21 Let g = -394 - -738. What is the greatest common divisor of 43 and g? 43 Let q(c) = 4*c - 5. Let w be q(10). Let m = -14 + w. Calculate the greatest common factor of 147 and m. 21 Let f be (-2 + 2 - 1)/(10/(-70)). Suppose f*h = 9*h - 352. Suppose 2*n = 2*y - 28, 2*y - 49 = -4*n - 9. What is the highest common factor of y and h? 16 Suppose 93*s - 144 = 90*s. Calculate the greatest common factor of 84 and s. 12 Suppose -4*a = -7*a + 210. What is the greatest common factor of 30 and a? 10 Let k = -127 - -192. Suppose k = 3*v + 5. Let s(z) = z + 10. Let p be s(-6). What is the greatest common divisor of p and v? 4 Let v = -207 + 227. What is the greatest common divisor of v and 55? 5 Let v(w) = -61*w + 2497. Let s be v(40). Let k = -13 + 32. What is the highest common factor of s and k? 19 Let w be (-17 - 0)*2/2. Let z = w - -18. Let s be -1*((-6)/1 - -1). Calculate the greatest common factor of s and z. 1 Suppose -3*w + 6 = 2*x, -2*w + 2*x - 3*x = -3. Suppose w = 3*z - 45 - 0. What is the highest common divisor of z and 165? 15 Let f = -7 + 9. Suppose -216 = -f*y - y. Suppose 2*s - 32 = -2*s. What is the highest common divisor of s and y? 8 Suppose -5*t = -9 - 11. Suppose 236 = 4*z + 4*j, -t*z + z + j = -197. Calculate the greatest common factor of z and 8. 8 Suppose 61 = 4*x - 5*r, 13 + 7 = -4*r. Let o(k) = k + 19. Let f be o(x). Calculate the greatest common divisor of 7 and f. 7 Let j = 161 - 147. Suppose 0 = 5*w - 3*w - b - 201, 0 = -w - b + 93. Calculate the highest common factor of w and j. 14 Let h(q) = 3*q + 10. Let g be h(-5). Let j be (-142)/g + 12/(-30). Calculate the greatest common factor of 4 and j. 4 Let y = 177 + -74. Let j = y + -58. Suppose 0 = 5*u + 5*m - j, 3*u - m - 35 = -8. What is the greatest common factor of 27 and u? 9 Let s(x) = 11*x**3 - x**2 + x + 4. Suppose -7*a + 17 = 3. Let h be s(a). What is the greatest common factor of h and 54? 18 Suppose -14*s - 3*s + 4896 = 0. What is the highest common divisor of s and 64? 32 Let f = -30 - -35. Suppose 4*o - f*d = 518, 117 + 539 = 5*o - 2*d. Calculate the greatest common factor of 12 and o. 12 Suppose -5*l + 27 = -33. Suppose 8*b = l + 28. What is the highest common divisor of b and 35? 5 Suppose -4*p + 20 = -t - 0*t, -p - 2*t = 4. Suppose 3*n - 11 = d, n - d - 13 = p*d. Suppose 5*y = n*y + 36. What is the highest common divisor of y and 9? 9 Suppose 5*r - 54 = -r. Suppose -80 = -3*o - g, 4*o - 2*g = 2*o + 40. Let l = o + r. What is the greatest common divisor of 51 and l? 17 Suppose 2*j - 2240 = -30*j. What is the highest common factor of 20 and j? 10 Let o = 426 + -241. Let z = 300 - o. What is the highest common factor of 5 and z? 5 Suppose 43*u = 45*u + 8, -u - 104 = -5*a. Calculate the greatest common divisor of 10 and a. 10 Let l be (-67)/(-2) + (-30)/20. Let v be (-20 - -4)/4*-2. Calculate the greatest common divisor of l and v. 8 Suppose -21 = -5*d - 3*b + 20, 16 = d - 2*b. Let h be (0/(-1) + 2)/(d/210). Calculate the greatest common divisor of h and 105. 21 Let z = -61 + 0. Let h = 133 + z. Let l be 9/(-4)*h/(-27). Calculate the greatest common divisor of 4 and l. 2 Let c = 248 - 55. Suppose -5*u = -4*w - 215 - c, 327 = 4*u - 3*w. What is the greatest common divisor of 24 and u? 12 Let r(d) = -d + 37. Let l be r(27). Calculate the highest common factor of 10 and l. 10 Let x = -641 + 747. What is the highest common factor of x and 6? 2 Suppose 15*o - 18090 + 17910 = 0. Suppose -2*l = -l - 3. Suppose 0 = 5*b - b + 12, -l*b = -5*x + 69. What is the highest common factor of x and o? 12 Suppose -l = -5*c + 126, 5*l = c - 19 - 11. Let x = c + -5. Calculate the greatest common divisor of 5 and x. 5 Suppose -4*a = 4*t - 100, 52 = -4*a + 5*t + 107. Calculate the greatest common factor of a and 310. 10 Let w(f) = 5*f**2 + 61*f + 6. Let i be w(-16). What is the highest common divisor of 10 and i? 10 Suppose 5*n - 16 = 44. Let m(j) = -j - 6. Let z be m(-11). Suppose -z*s + 134 = 2*u + u, u - 44 = -2*s. Calculate the greatest common factor of u and n. 12 Let o(s) = 3*s**3 - 61*s**2 + 23*s - 45. Let u be o(20). Calculate the highest common factor of 1215 and u. 15 Let w = -34 - -55. Suppose 3*n - 7*n + 68 = 0. Suppose -39 = -8*b + n. Calculate the greatest common divisor of w and b. 7 Let j(s) = -s + 6. Let l be j(9). Let d = l + 4. Let w(t) = 8*t. Let z be w(1). Calculate the highest common divisor of z and d. 1 Let j = 104 + -55. Suppose j = 4*o - 31. Calculate the highest common factor of 5 and o. 5 Suppose -89*q + 13650 = -68*q. Calculate the highest common divisor of q and 50. 50 Let h be ((-8)/(-1))/(126/(-28) - -5). Calculate the greatest common divisor of 256 and h. 16 Let w = -8 - -20. Suppose 3*r + 306 = 5*l, 0*r = -3*l + 4*r + 188. What is the highest common factor of w and l? 12 Suppose 422*t - 438*t = -288. Let j = 21 - 15. What is the highest common divisor of t and j? 6 Suppose -3*q = 3*g - 174, -g + 4*q + 19 = -24. What is the highest common factor of g and 22? 11 Suppose 24*a - 3146 = -2*a. Let m(f) = 7*f**3 - f**2 + 3*f - 3. Let n be m(2). Suppose -5*p + 0*p + n = 0. Calculate the highest common factor of a and p. 11 Let b be (-117)/(-6) - (-1)/(-2). Let d be (-3)/((-3)/2) + 12. Let z = b - d. What is the highest common factor of z and 55? 5 Suppose 108*g + 9204 = 114*g. What is the greatest common factor of 52 and g? 26 Let l(d) = d**2 - 5*d + 2. Let z be l(7). Let a be 1 + 3 + -3 + 7 + 40. What is the highest common divisor of z and a? 16 Suppose 0 = 6*a - 10*a + 12. Suppose 0 = a*z - 22 + 1. Let q = -55 - -90. What is the greatest common divisor of q and z? 7 Let c(m) = m**3 - 2*m + 18. Let h be c(0). What is the highest common divisor of h and 927? 9 Let z = -30 + 37. What is the greatest common divisor of 161 and z? 7 Suppose -20 = -w + 230. Calculate the greatest common divisor of w and 150. 50 Let q(y) = y**2 - 7*y + 10. Let t be q(9). Suppose -60 - t = -4*f. What is the highest common divisor of 44 and f? 22 Let r(o) = o**2 + 8*o - 4. Let y be r(-11). Suppose -6*u = -79 - y. Calculate the highest common divisor of u and 9. 9 Let n = 2 - -5. Suppose 98 = 6*i - 4*i. Let u = i + n. What is the highest common factor of u and 8? 8 Let b = -20 + 18. Let y be (31 + -13)/(b + (0 - -4)). What is the greatest common factor of y and 63? 9 Let n(m) = 59*m**2 - 62*m - 366. Let f be n(-6). What is the greatest common factor of 60 and f? 30 Let s be (-13310)/(-99) - (-4)/(-9). Calculate the greatest common divisor of 201 and s. 67 Let n(h) = 15*h + 5. Let r be n(1). What is the greatest common divisor of r and 740? 20 Suppose -2*g = -3 - 7, -3*p - 4*g - 97 = 0. Let z = 26 - p. Suppose -6*t + 39 = -3*t. What is the greatest common factor of z and t? 13 Suppose -23 + 29 = h. Let s be 196/h + ((-20)/(-6) - 3). Calculate the greatest common factor of 55 and s. 11 Let l be (-160)/3 + (-2 - (-35)/15). Let u = 110 + l. Calculate the highest common divisor of u and 513. 57 Let h(c) = -c. Let n(p) = 5*p + 2. Let l(f) = -14*h(f) - 2*n(f). Let o be l(2). What is the greatest common divisor of o and 28? 4 Let p be (17/6 - 7/21)*2. Suppose -3*i - 4*j = -77, 3*i - 8 = -p*j + 74. What is the highest common divisor of i and 57? 19 Suppose -2*w - 116 = -3*s, -s + 57 = -w + 19. Let y be (-5 + -3)/((21/(-12))/7). Calculate the greatest common factor of y and s. 8 Let g(h) = -13*h + 141. Let x be g(10). Let z = 9 + 12. Suppose 0 = -q - 3*d + z, 2*q = -d - 2*d + 54. What is the highest common factor of q and x? 11 Let g be 14*(3 + 1
{ "pile_set_name": "DM Mathematics" }
west common multiple of g and 14? 28 Calculate the common denominator of 91/464 and (-9)/(-348)*(-2660)/(-42). 464 Let d(u) = u**2 + 34*u + 69. Let i be d(-25). Let o = 211 + i. Calculate the smallest common multiple of o and 15. 165 Let n = -1 + 1. Let f = 2470 + -2467. What is the least common multiple of 2 and n + 0 - f/(-1)? 6 Suppose 26 + 6 = 8*f. Suppose -6*h + 100 = f*h. Suppose 14 - 1 = a - x, -4*a + x = -55. What is the lowest common multiple of h and a? 70 What is the least common multiple of (3 - -19) + 2 + -2 and 89 - (-57)/95*-25? 814 Let x = -400 + 433. Suppose -4*k - c = -27, -7*k + x = -4*k + 5*c. Calculate the smallest common multiple of 16 and k. 48 Suppose 0 = 12*b - 44 - 188 - 32. Calculate the smallest common multiple of 748 and b. 748 Let j = 101 + -57. Suppose 0 = 319*l + 758 - 3310. Calculate the least common multiple of l and j. 88 What is the common denominator of ((-258)/645)/((4/(-31))/(1 + 4)) and -8/69? 138 What is the smallest common multiple of 1720 and 6/((-36)/(-2062)) - 4*(-4)/48? 1720 Let g(j) = 4*j + 48. Let m be g(-11). What is the common denominator of (1 + -2)*-1*-18 and 21/(-28)*38 - m? 2 Calculate the lowest common multiple of (16/(-64))/(0 - 1) - 2199/(-4) and 770. 3850 Let z be 6071312/462 - 21/49. Let r = -13142 + z. Let f = -41185/24024 + 6/1001. What is the common denominator of r and f? 264 Let m = -4/1931 - -98545/30896. Calculate the common denominator of 67/300 and m. 1200 Suppose -8 = -4*p + 12. Let q(g) = 4*g**2 + 2*g + 1. Let n be q(-1). What is the lowest common multiple of p and n/1*(40/(-6))/(-5)? 20 Let j be (-2)/4 - 450/(-4). Let i = 394 + -8278/21. What is the common denominator of (-64)/j + 752/42 and i? 21 Let z = 659285 - 659944223/1001. Calculate the common denominator of z and -83/429. 3003 Suppose -28875 = 15*w - 37*w - 13*w. Calculate the lowest common multiple of w and 375. 4125 Suppose -s - l + 203 - 32 = 0, 0 = -3*s + 5*l + 505. What is the least common multiple of 510 and s? 510 Let k(z) = 19*z**2 + 40*z + 301. Calculate the least common multiple of 168 and k(-7). 2856 Let v = 121639/91323 - 511/417. Calculate the common denominator of v and -59/102. 22338 Suppose 4*w - 68 = -5*a, -16 = -3*w + 8*a - 3*a. Calculate the lowest common multiple of w and 5260. 15780 What is the common denominator of 53/207 and 1302/210 + (-1)/(3/4)? 1035 Let a = 7131 + -7125. What is the smallest common multiple of a and 17638? 52914 Suppose 0 = -v - 2*m + 3*m + 6, -4*v + 9 = m. Suppose 2*k - 2*l - 24 = 0, 5 = -5*k - v*l + 25. Calculate the lowest common multiple of k and 1/5 - 134/(-5). 189 Let p = 42468 - 2972889/70. What is the common denominator of p and 47/875? 1750 Let t(o) = -5*o - 23. Let p be t(-7). Suppose -u = -p*u + 924. What is the smallest common multiple of u and 14? 84 Calculate the common denominator of 161/270 and 1168 + -1170 - (0 - (-146)/12). 270 Find the common denominator of -29/6988 and ((-194)/(-32))/((-6723)/(-2988)). 62892 Let x = 4438 - 26749/6. Find the common denominator of x and 20/40*(-121)/(-22). 12 Let p(s) = 3*s**2 + 7*s - 10. Let y = 52089 + -52023. Calculate the lowest common multiple of p(-7) and y. 264 Let p be 6 + (-270)/72*(-112)/6. Let u(f) = f**3 - 5*f**2 - 4*f + 5. Let w be u(5). What is the common denominator of 47/30 and ((-38)/p)/(-1*w/74)? 30 Let n be 892/11 - (0 - -8). Let x = 2897/44 - n. Find the common denominator of x and 61/574. 1148 Find the common denominator of -5/94 and (-145*3/(-216))/(29/(2552/1034)). 846 Let z = -3 + 5. Suppose -7*v - z = 12. Find the common denominator of (v - 0)*(-3)/(-14) and 101/8. 56 Let c be (4/5)/((-14)/(-1190)). Suppose 4 = 3*a - c. Let u(z) = z**3 - 2*z**2 - 3. Calculate the lowest common multiple of u(3) and a. 24 Suppose -7*p + 2*p + 10 = 0. Calculate the common denominator of 4982/(-517)*p/24 and -20/27. 594 Let h = -1370 - -1400. Calculate the smallest common multiple of 16 and h. 240 Suppose -841 = -3*y + 19157. Let d = 9914 + y. Let p = d - 364829/22. Find the common denominator of p and 61/8. 88 Suppose -2*u + 56 + 58 = 0. Suppose -40 = 4*o + 4*i - 80, 0 = 5*o + 3*i - 66. What is the smallest common multiple of u and o? 342 Suppose -4*t = -9*t + 10. Let s be (12/18)/((-50)/(-75)). What is the common denominator of (s - (0 - t)) + 282/60 and -121/6? 30 Let q be ((-276)/42)/((-4)/5). Let u = 855/119 - q. Find the common denominator of u and 25/14. 238 Let v = -737270459829/1274 + 578705185. Let o = v - 3/637. Calculate the common denominator of o and 37/24. 24 Let a = 3797803819/3438 - 1104655. What is the common denominator of 8/33 and a? 37818 Let y = 4570 - 4472. What is the lowest common multiple of 1120 and y? 7840 Let q be (-4)/22 - -37414*(-294)/1320. Let x = 8342 + q. What is the common denominator of x and -93/100? 100 Find the common denominator of (1180/(-144) - (-32 + 24))*(-3)/34 and 8/1275. 10200 Let p be 50/(1 - -1)*(-22)/55. Suppose -39 = -18*l + 15*l. What is the least common multiple of (p/(-6))/((-3)/(-9)) and l? 65 Let s(a) = -a + 3. Suppose -11782 - 6632 = -341*k. What is the smallest common multiple of s(-4) and k? 378 Calculate the common denominator of -91/6620 and 213231/(-748060) - ((-9)/10)/3. 6620 Let q be (-82886)/9768*(-2 + 2 + -1). Let d = q + -28/407. Let c = -4169/24 + 1449/8. Find the common denominator of d and c. 12 Let o = -96241 - -385061/4. Let a = -560940309/396865 + -3/56695. Let s = a + 198727/140. What is the common denominator of s and o? 20 Let k = 7589 + -7564. Suppose 0 = -4*t + 105 - 5. Calculate the lowest common multiple of k and t. 25 Let w(t) = -79*t + 3758. Calculate the lowest common multiple of 70 and w(27). 22750 Let x = -36/6733 - 640141/2423880. Find the common denominator of x and -29/165. 3960 Suppose 5*b + 5*o - 101 = -1, 2*o = 8. Suppose v + 101338 = -5*c + 101570, -3*c = 48. Calculate the smallest common multiple of v and b. 624 Let z(o) = -2*o**2 + 8*o. Let p be z(4). Suppose b + p*g + 3*g = 15, -5*g - 3 = -3*b. Calculate the lowest common multiple of 9 and b. 18 Let c be 1114/3 - (-11)/((-33)/(-2)). Let n = 105/2 + -102. Calculate the common denominator of n and (4/(-48))/(3 + c/(-122)). 36 Suppose 0 = 11*f + 121 - 154. Suppose 2*u - 2*a - 51 = -f, -3*u = 2*a - 57. Find the common denominator of 89/6 and u. 6 Let o = -100/813 + 36445/307314. What is the common denominator of -74/15 and o? 5670 Suppose 0 = 122*d - 117*d - 15. Suppose 0*f - 251 = -5*f - d*u, -3*f - 2*u + 151 = 0. Calculate the least common multiple of f and 5. 245 Suppose -2*t - 30930 = -3*m + 2*t, 3*t = -5*m + 51579. Let f = m - 2465038/239. What is the common denominator of f and -18/11? 2629 Let d = -502087/47256 - 1/5907. Calculate the common denominator of d and 115/406. 1624 Let u = 12249/19 + -5071979/7866. Find the common denominator of u and 47/138. 414 Suppose 2*x - x - 4 = 0. Suppose x*q + 1820 - 584 = 0. Let f = -893/3 - q. Find the common denominator of f and 69/10. 30 Let z = -41 - -51. Calculate the smallest common multiple of -18*((-55)/z - -2) and 99. 693 Find the common denominator of (2 - (-54)/(-24))*(-1530)/(-81) and 314*-2*4/(-672). 126 Suppose p = 5*n + 6119, 5*p + 0*n + 2*n = 30460. Let i = 66984/11 - p. What is the common denominator of i and -55/3? 33 Let x(o) = -6*o + 58. Let g be x(10). Calculate the common denominator of 33/124 and ((-250)/(-24))/(-5) + g + 2. 372 Suppose -z = 5*z - 54. Let l = -18 + z. Find the common denominator of 39/10 and ((-6)/l)/(-2) + 2. 30 Suppose -6*h = -4*h. Suppose h = -2*v + 3*x + 3789, x + 1896 = v - 2*x. Let s = 30277/16 - v. Calculate the common denominator of s and 19/16. 16 Let y(b) = -102*b - 133. Let z be y(-5). Let q = z - 743/2. Calculate the common denominator of q and 1/2 - 50/8. 4 Let k be ((-64)/6)/(150/5535). Let t = k - -1583/4. Calculate the common denominator of 13/20 and t. 20 Let c = 598 - 588. Calculate the smallest common multiple of c and 836. 4180 Let g = -47 + 51. Let y be (-39)/6*g + -4. Find the common denominator of 13/66 and (-316)/y*(-20)/16. 66 Let r = 141 - 183. Let o = r - -54. Calculate the smallest common multiple of 16 and o. 48 Let d be (3/15 - 0) + 4257/15. Suppose -836 = w + d. Calculate the common denominator of 3*(-1)/1 + w/(-273) and 25/69. 897 Find the common denominator o
{ "pile_set_name": "DM Mathematics" }
divide 56088? True Is 256 a factor of 21425899? False Does 37 divide 2599546? True Does 109 divide 277732? True Is 230289 a multiple of 117? False Is 320064 a multiple of 32? True Does 83 divide 1002046? False Is 9 a factor of 113130? True Is 113820 a multiple of 105? True Does 539 divide 1234310? True Is 226920 a multiple of 61? True Is 869596 a multiple of 364? True Is 89 a factor of 657977? True Is 236 a factor of 102917? False Does 202 divide 221594? True Is 961454 a multiple of 19? False Does 52 divide 4351776? True Does 7 divide 337193? False Does 238 divide 6230126? True Does 56 divide 284617? False Is 154 a factor of 1204791? False Is 67 a factor of 18363025? True Does 8 divide 6747? False Is 103690 a multiple of 10? True Does 255 divide 322884? False Is 382 a factor of 1720442? False Is 5 a factor of 5791? False Does 12 divide 1730856? True Does 205 divide 82205? True Does 10 divide 1674628? False Is 24337 a multiple of 6? False Is 15 a factor of 1089120? True Is 50 a factor of 3700900? True Is 463195 a multiple of 58? False Does 7 divide 93444? False Is 13739668 a multiple of 109? True Is 37155533 a multiple of 11? False Does 144 divide 1273248? True Does 69 divide 549265? False Is 186950 a multiple of 56? False Is 649 a factor of 1367861? False Does 79 divide 505837? True Is 113 a factor of 353690? True Is 108794 a multiple of 7? True Does 38 divide 325941? False Does 27 divide 6964? False Is 55 a factor of 15693? False Is 5 a factor of 30217? False Is 48 a factor of 7362245? False Is 307 a factor of 1685452? False Is 30096 a multiple of 12? True Is 2 a factor of 22983? False Is 465276 a multiple of 14? True Does 49 divide 118139? True Is 7266567 a multiple of 870? False Is 48689 a multiple of 28? False Does 145 divide 462633? False Is 28911 a multiple of 4? False Is 416 a factor of 199264? True Is 154950 a multiple of 15? True Is 357485 a multiple of 76? False Is 10 a factor of 280594? False Does 95 divide 48283? False Does 8 divide 1823360? True Is 190703 a multiple of 12? False Is 6 a factor of 563865? False Does 438 divide 1032444? False Is 46 a factor of 249320? True Is 678270 a multiple of 230? True Is 5452040 a multiple of 440? True Is 2848343 a multiple of 59? True Does 227 divide 273762? True Is 6 a factor of 356629? False Is 30744 a multiple of 8? True Is 436342 a multiple of 880? False Does 50 divide 385216? False Is 31 a factor of 763220? True Does 5 divide 42267? False Is 1720205 a multiple of 150? False Is 162 a factor of 313308? True Does 75 divide 1021200? True Is 6337080 a multiple of 95? False Is 54019 a multiple of 4? False Is 624840 a multiple of 38? False Is 9 a factor of 292392? True Does 215 divide 1543714? False Is 97984 a multiple of 32? True Is 742 a factor of 1019508? True Is 16 a factor of 155706? False Is 592524 a multiple of 302? True Is 7478080 a multiple of 320? True Does 123 divide 204870? False Does 80 divide 140080? True Is 25 a factor of 327800? True Is 365 a factor of 76285? True Is 643104 a multiple of 638? True Does 5 divide 16677605? True Is 122681 a multiple of 22? False Does 976 divide 15710672? True Is 2597629 a multiple of 566? False Does 9 divide 23526? True Is 2118023 a multiple of 185? False Is 9 a factor of 103996? False Is 35 a factor of 1101086? False Is 113 a factor of 1137232? True Is 365 a factor of 10948716? False Is 256 a factor of 732079? False Is 86 a factor of 4398945? False Does 11 divide 68024? True Is 4 a factor of 342? False Is 13 a factor of 2641704? True Does 4 divide 1132263? False Does 295 divide 294410? True Is 39 a factor of 103545? True Is 67 a factor of 948794? False Is 168141 a multiple of 25? False Does 480 divide 582641? False Is 26 a factor of 21996? True Is 1360700 a multiple of 21? False Does 3 divide 13770? True Does 5 divide 164414? False Is 181549 a multiple of 242? False Is 20 a factor of 373054? False Does 14 divide 1145718? True Is 245115 a multiple of 65? True Does 22 divide 297283? False Is 833 a factor of 1304906? False Does 9 divide 429646? False Is 18 a factor of 226065? False Does 312 divide 8688888? True Does 15 divide 12640977? False Is 1221 a factor of 10667877? True Is 2 a factor of 2019008? True Does 87 divide 5849245? False Is 321986 a multiple of 28? False Does 20 divide 543355? False Is 12729933 a multiple of 61? False Is 13 a factor of 54380? False Does 826 divide 8620790? False Is 10 a factor of 1310610? True Is 14 a factor of 508746? True Is 182580 a multiple of 34? True Does 47 divide 309229? False Is 18 a factor of 1189437? False Is 24 a factor of 81528? True Is 15336 a multiple of 138? False Is 13 a factor of 548938? True Does 833 divide 620585? True Does 8 divide 223672? True Does 75 divide 628425? True Is 9 a factor of 82980? True Is 56118 a multiple of 8? False Is 30968 a multiple of 4? True Is 161322 a multiple of 161? True Is 79 a factor of 3311774? False Does 19 divide 441541? True Is 4061331 a multiple of 179? True Is 237 a factor of 1162011? True Does 272 divide 559734? False Is 5867370 a multiple of 15? True Is 66 a factor of 754835? False Does 5 divide 4887950? True Is 89022 a multiple of 37? True Is 220197 a multiple of 77? False Does 231 divide 2723721? True Is 11466 a multiple of 26? True Is 33 a factor of 189420? True Does 31 divide 641546? False Is 103530 a multiple of 21? True Does 13 divide 1241139? False Is 4550371 a multiple of 20? False Is 5916 a multiple of 17? True Is 42 a factor of 79664? False Is 1493953 a multiple of 29? False Is 630 a factor of 9756810? True Is 532376 a multiple of 52? True Does 25 divide 210400? True Is 44 a factor of 115566? False Is 28040 a multiple of 40? True Is 24 a factor of 765840? True Is 295889 a multiple of 588? False Does 56 divide 155086? False Is 5710436 a multiple of 79? True Is 14289853 a multiple of 31? True Is 81 a factor of 591787? False Does 18 divide 229690? False Is 18 a factor of 11438574? False Does 13 divide 126360? True Is 467 a factor of 11536816? False Is 117720 a multiple of 9? True Does 93 divide 219907? False Is 2660 a multiple of 24? False Is 238 a factor of 863791? False Is 51 a factor of 7930546? False Does 20 divide 89400? True Is 957933 a multiple of 490? False Is 8 a factor of 205784? True Is 195 a factor of 2008500? True Is 3312041 a multiple of 15? False Is 7 a factor of 43295? True Is 621 a factor of 1641710? False Is 308476 a multiple of 28? True Is 201152 a multiple of 898? True Does 307 divide 50348? True Does 332 divide 2675675? False Is 22000 a multiple of 125? True Does 260 divide 1973280? False Is 86592 a multiple of 66? True Is 1147662 a multiple of 802? True Is 488 a factor of 2323542? False Is 10 a factor of 383401? False Is 20090976 a multiple of 1256? True Is 1467787 a multiple of 298? False Is 434 a factor of 11565226? False Does 85 divide 802396? False Is 28 a factor of 906276? True Is 9996960 a multiple of 472? True Is 257104 a multiple of 16? True Is 4 a factor of 8348? True Is 4 a factor of 44708? True Is 179 a factor of 71600? True Does 4 divide 18977? False Is 107428 a multiple of 251? True Is 32 a factor of 576827? False Is 233414 a multiple of 5? False Is 657000 a multiple of 43? False Is 17500224 a multiple of 56? True Does 625 divide 5491875? True Is 647 a factor of 566125? True Does 9 divide 1050183? True Is 1045820 a multiple of 5? True Is 849884 a multiple of 23? False Does 16 divide 428576? True Is 43371 a multiple of 156? False Is 39 a factor of 2275636? False Does 389 divide 124809? False Is 4139516 a multiple of 22? False Does 9 divide 148401? True Is 362400 a multiple of 160? True Is 23442144 a multiple of 2607? True Is 11872 a multiple of 8? True Is 66 a factor of 212816? False Is 258 a factor of 418937? False Is 11 a factor of 67835? False Is 18563 a multiple of 5? False Is 11138325 a multiple of 587? True Is 8 a factor of 7432? True Is 2568747 a multiple of 4? False Is 6174069 a multiple of 473? True Is 346392 a multiple of 24? True Is 1433406 a multiple of 221? True Does 7 divide 284424? True Is 18 a factor of 6005430? True Does 128 divide 196878? False Does 148 divide 153090? False Does 25 divide 319175? True Is 495 a factor of 9599040? True Does 19 divide 583435? False Does 226 divide 253346? True Is 11601469
{ "pile_set_name": "DM Mathematics" }
are there in one tenth of a millimeter? 100000 What is six fifths of a decade in months? 144 What is 0.8963759ml in litres? 0.0008963759 What is 3.4156 years in months? 40.9872 Convert 89.94474 months to millennia. 0.007495395 Convert 27.38782ug to milligrams. 0.02738782 What is 0.2118902 litres in millilitres? 211.8902 Convert 0.4450942nm to centimeters. 0.00000004450942 What is 92372.03 nanograms in kilograms? 0.00000009237203 How many millimeters are there in thirty-three fifths of a meter? 6600 How many grams are there in 289461.4ug? 0.2894614 What is 21/2 of a meter in centimeters? 1050 How many minutes are there in 5/6 of a hour? 50 How many kilograms are there in six fifths of a tonne? 1200 How many meters are there in 730719.6 micrometers? 0.7307196 Convert 508.6968 centimeters to millimeters. 5086.968 What is 15/16 of a millennium in months? 11250 What is 0.4321973 millilitres in litres? 0.0004321973 What is six fifths of a litre in millilitres? 1200 What is 33/5 of a litre in millilitres? 6600 What is 45950.72 litres in millilitres? 45950720 How many centimeters are there in 81/4 of a meter? 2025 What is 2.107929l in millilitres? 2107.929 Convert 6.854868 kilometers to meters. 6854.868 What is seven quarters of a micrometer in nanometers? 1750 How many nanometers are there in 3/5 of a micrometer? 600 What is eight thirds of a day in hours? 64 How many kilograms are there in 7929.146 nanograms? 0.000000007929146 How many seconds are there in six fifths of a minute? 72 What is seventeen tenths of a litre in millilitres? 1700 How many centimeters are there in eighty-one halves of a meter? 4050 What is one tenth of a hour in minutes? 6 How many nanometers are there in fourty-three halves of a micrometer? 21500 Convert 0.9229243ml to litres. 0.0009229243 How many kilometers are there in 4977.046 centimeters? 0.04977046 What is 85.69974ng in tonnes? 0.00000000000008569974 How many years are there in 30.50311 centuries? 3050.311 Convert 55.60637l to millilitres. 55606.37 How many micrograms are there in 62.15854g? 62158540 How many meters are there in three eighths of a kilometer? 375 How many millilitres are there in sixty-one halves of a litre? 30500 How many seconds are there in 16/9 of a hour? 6400 How many meters are there in three fifths of a kilometer? 600 How many nanograms are there in 59735.87t? 59735870000000000000 How many millimeters are there in nineteen quarters of a meter? 4750 What is 8/25 of a litre in millilitres? 320 What is sixty-four thirds of a day in minutes? 30720 How many millilitres are there in 168.3681 litres? 168368.1 What is 1/10 of a litre in millilitres? 100 How many days are there in 58.81239 weeks? 411.68673 How many seconds are there in 15/4 of a minute? 225 What is thirteen fifths of a meter in centimeters? 260 What is 41/2 of a kilometer in meters? 20500 Convert 62.0636cm to kilometers. 0.000620636 How many minutes are there in 3/10 of a day? 432 How many litres are there in 0.1813233 millilitres? 0.0001813233 What is 58.355 litres in millilitres? 58355 How many hours are there in five quarters of a week? 210 How many millilitres are there in 5/4 of a litre? 1250 What is 18/5 of a micrometer in nanometers? 3600 Convert 18.52968 meters to kilometers. 0.01852968 Convert 0.3639691 decades to years. 3.639691 What is 15/4 of a litre in millilitres? 3750 What is 710.2912ug in tonnes? 0.0000000007102912 Convert 0.2523583 milligrams to nanograms. 252358.3 How many seconds are there in 3/16 of a day? 16200 How many nanoseconds are there in 1/10 of a millisecond? 100000 Convert 796.7601ml to litres. 0.7967601 How many millilitres are there in seven quarters of a litre? 1750 What is 354.5785 nanoseconds in microseconds? 0.3545785 How many micrograms are there in seventeen halves of a milligram? 8500 How many years are there in 1715.809 decades? 17158.09 What is 13/5 of a millennium in decades? 260 How many millimeters are there in 8/25 of a meter? 320 What is seventeen halves of a litre in millilitres? 8500 Convert 0.067593 centuries to decades. 0.67593 What is 0.3557455 nanoseconds in seconds? 0.0000000003557455 What is seventeen halves of a century in decades? 85 How many millilitres are there in 442.4592 litres? 442459.2 What is 71.39741 millilitres in litres? 0.07139741 What is 610357.2 years in decades? 61035.72 How many seconds are there in 1/16 of a week? 37800 Convert 696484.3 milligrams to nanograms. 696484300000 How many nanoseconds are there in 663.8556 milliseconds? 663855600 Convert 0.8045087 millennia to months. 9654.1044 How many millilitres are there in 8.541883l? 8541.883 What is 17.6562393 hours in weeks? 0.1050966625 What is five quarters of a milligram in micrograms? 1250 Convert 5.488361kg to grams. 5488.361 What is 80060.27 years in centuries? 800.6027 How many months are there in one sixth of a millennium? 2000 How many millimeters are there in twenty-one fifths of a centimeter? 42 What is 9/25 of a micrometer in nanometers? 360 What is 88/5 of a millennium in decades? 1760 How many millilitres are there in 1/4 of a litre? 250 Convert 0.9357806 tonnes to grams. 935780.6 What is 43/4 of a decade in months? 1290 How many minutes are there in 9/10 of a day? 1296 How many minutes are there in fourty-two fifths of a week? 84672 Convert 64140.02 millennia to years. 64140020 How many seconds are there in four thirds of a minute? 80 What is 11/2 of a microsecond in nanoseconds? 5500 What is 33585.59 millilitres in litres? 33.58559 How many millilitres are there in 3/5 of a litre? 600 How many months are there in 13.03347 millennia? 156401.64 How many micrograms are there in thirteen eighths of a milligram? 1625 How many millilitres are there in 1004.534 litres? 1004534 How many years are there in 8.758629 millennia? 8758.629 How many nanograms are there in 310.817 grams? 310817000000 How many nanograms are there in 670960.1kg? 670960100000000000 What is 214788.48 hours in days? 8949.52 What is 3/5 of a millennium in centuries? 6 Convert 3279.499 millilitres to litres. 3.279499 How many months are there in twenty-seven quarters of a decade? 810 What is nine tenths of a micrometer in nanometers? 900 Convert 41632.62 weeks to microseconds. 25179408576000000 What is twenty-five eighths of a hour in seconds? 11250 How many years are there in fifty-one halves of a millennium? 25500 How many millilitres are there in 42/5 of a litre? 8400 What is 2.0764458 months in millennia? 0.00017303715 How many nanometers are there in 7818.319mm? 7818319000 How many nanograms are there in thirty-three fifths of a microgram? 6600 Convert 72337.68 nanoseconds to hours. 0.0000000200938 How many decades are there in thirty-two fifths of a millennium? 640 How many milligrams are there in 3/5 of a gram? 600 How many nanograms are there in 77087.01 grams? 77087010000000 What is three fifths of a micrometer in nanometers? 600 How many months are there in 0.8485333 years? 10.1823996 How many months are there in 18/5 of a century? 4320 How many millilitres are there in seven eighths of a litre? 875 What is 7/3 of a hour in minutes? 140 What is 3/25 of a micrometer in nanometers? 120 Convert 58.0218 hours to microseconds. 208878480000 How many kilometers are there in 0.0711522 centimeters? 0.000000711522 What is one twentieth of a kilogram in grams? 50 Convert 3283.111ug to tonnes. 0.000000003283111 How many months are there in twenty-three thirds of a century? 9200 Convert 288.4073 seconds to milliseconds. 288407.3 What is 7247.799mm in nanometers? 7247799000 What is 7/4 of a kilometer in meters? 1750 What is 1/20 of a litre in millilitres? 50 What is 10/3 of a week in hours? 560 What is 3/5 of a century in months? 720 Convert 88.93106 kilometers to micrometers. 88931060000 How many millilitres are there in 814.3594l? 814359.4 What is 25/8 of a decade in months? 375 How many nanometers are there in 6.201311 centimeters? 62013110 Convert 3712.985 kilometers to millimeters. 3712985000 Convert 5297.535 nanometers to kilometers. 0.000000005297535 How many kilometers are there in 68012.94mm? 0.06801294 What is 8/3 of a century in months? 3200 What is 1/5 of a day in seconds? 17280 Convert 8.221829m to nanometers. 8221829000 How
{ "pile_set_name": "DM Mathematics" }
). 1/4 What is the value of (-220)/132*(-12)/20? 1 Evaluate (-6)/(-18)*(48/22)/(-8). -1/11 Evaluate 19/(57/18)*(-6)/2. -18 Evaluate ((-10)/(-1))/(5/(75/15)). 10 (6/4)/(128/768) 9 Evaluate (-63)/(-15)*(-3600)/840. -18 Evaluate (2/((-4)/2))/(71/923). -13 Calculate (-24)/(-9)*10*-6*(-16)/(-80). -32 What is 12/(-6)*4*54/(-27)? 16 What is -58*94/(-1363)*18/8? 9 Calculate 1/((-29)/((-1450)/(-60))). -5/6 Calculate ((-1002)/(-1169))/((-8)/(-7)). 3/4 Calculate 52*32/(1152/(-18)). -26 Evaluate (-56)/(-12)*-6*(-7)/(-14). -14 Evaluate 1/(((-16)/8*7)/10). -5/7 Evaluate (6716/(-876))/((-3)/(-9)). -23 (3430/(-147))/((-90)/27) 7 Evaluate (-4)/1*(-19)/684*-225. -25 Evaluate (-30)/(-150)*(8/1)/(-4). -2/5 What is 335/(-2345)*-7*5? 5 (-8)/(-22)*8/128*-8 -2/11 -9*9/(-324)*2*(-5)/20 -1/8 What is (2/((-22)/33))/(-5)? 3/5 What is the value of ((-279)/62)/(3/4)? -6 Evaluate (1410/(-27495))/(2/(-6)*-1). -2/13 ((-36)/(-60))/(2/(-30)*5/5) -9 What is -36*(-17)/(102/4)? 24 What is the value of ((-1)/(-4))/(54/((-45360)/(-665)))? 6/19 Calculate (18/216*-12*(-1)/(-1))/19. -1/19 Calculate 2/1*1992/(-332). -12 What is ((-23)/552*-84)/(4/(-2))? -7/4 What is (-128)/160*4/(-368)*-10? -2/23 What is (5/(39/((-702)/(-36))))/((-2)/(-3))? 15/4 (45/((-22275)/(-30)))/(3/((-9)/(-2))) 1/11 What is the value of 44/(-4)*(-3)/12? 11/4 What is ((-42)/13)/((-6525)/(-56550))? -28 What is (-22)/((288/(-24))/(-6))? -11 What is -30*(11/(264/(-16)))/2? 10 What is the value of 1/2*-3*3400/(-255)? 20 0/(-1)*-3*-1*(-10)/60 0 Evaluate (-6)/7*2499/(-153). 14 What is the value of -3*(18/336)/(18/(-8))? 1/14 What is the value of ((-11)/((-154)/(-48)))/((-28)/98)? 12 (-2*1/2)/(1*(-20)/8) 2/5 What is the value of 0/(30/(405/27))? 0 2/(-14)*546/(-156) 1/2 Evaluate ((-775)/186)/(460/138). -5/4 What is (-16*23/552)/((-8)/372)? 31 What is the value of (365/219)/(150/8*(-10)/(-45))? 2/5 (2/(-24)*3*-3)/(17/204) 9 Calculate (65/(-5))/13*-10. 10 (6/13)/(916/(-35724)) -18 Evaluate 4/(-18)*(-4725)/350. 3 Calculate -4*(-6)/16*(-32)/3. -16 What is (((-8)/20)/(96/(-180)))/6? 1/8 Evaluate (-5)/1*(1008/60)/(-7). 12 What is the value of 825/(-231)*19/(570/24)? -20/7 What is the value of ((-130)/91)/(-1)*(-11)/(-44)? 5/14 Calculate (-4*(-11)/22)/(3*1/30). 20 Calculate 940/(-188)*54/(-30). 9 Evaluate (39/2340)/((-10)/75). -1/8 6/4*-1*(32/360)/(-2) 1/15 (6/10*275/110)/(2/12) 9 What is the value of 208/28*((-14)/(-9))/(488/1098)? 26 What is (3*14/(-63))/((-10)/(1620/(-6)))? -18 Evaluate (32*5/200)/(132/(-10)). -2/33 Evaluate (-7)/(-3)*21/(-3528)*16. -2/9 Evaluate 14/102*72/252. 2/51 Calculate (14/(-4))/(49/(-14)). 1 Evaluate (((-18)/50)/(255/425))/(6/(-10)). 1 What is the value of ((-5)/((-175)/(-10)))/(11/((-154)/(-15)))? -4/15 Calculate (240/(-480))/((-18)/4). 1/9 What is 3/(117/26)*18/(-28)*2? -6/7 What is the value of (((-4968)/(-115))/(-54))/(((-38)/(-5))/1)? -2/19 What is the value of (-3)/((-1)/6*9*6)? 1/3 (-50)/1375*15*2/(-3) 4/11 What is (-27)/90*-2*(-60)/(-288)? 1/8 What is the value of (6/2)/((-216)/99*1782/(-216))? 1/6 (32/112*-6)/(2/(-7)) 6 What is the value of ((-2)/276)/((2193/(-172))/(-51))? -2/69 What is 36/432*45/2*(-8)/(-18)? 5/6 14/840*15*16 4 (10/66)/(1055/1266) 2/11 Evaluate (28/(336/(-18)))/((-6)/4). 1 What is the value of 40/25*1035/6348? 6/23 Evaluate -4*1*38/(1254/99). -12 (-11)/((-264)/80)*(-6)/4 -5 Calculate -2*((-1)/(-4))/(79/(-1422)). 9 Evaluate (11*(-252)/(-770))/((-27)/(-180)). 24 (-8)/50*(-60)/96 1/10 Evaluate ((0*(-1)/12)/(3/(-1)))/(-1). 0 (-7)/(7/(-2))*11/(110/(-10)) -2 What is (10/(-15)*4)/((-5)/(-15))? -8 Evaluate 156/(-234)*12*(-6)/(-4). -12 Evaluate (-7980)/56*(-20)/150. 19 Evaluate (-228)/171*(-234)/12. 26 What is (-3)/(-3)*15*10/90? 5/3 Evaluate 40/14*-34*(-343)/3332. 10 (1/(-1))/(5*(-48)/(-60)) -1/4 Calculate ((-1)/(-9))/((-64)/(-128)). 2/9 What is the value of 1/(24/(-240)*25)? -2/5 Evaluate 65/(1170/(-1188))*(3/(-3))/6. 11 Evaluate (8/(-5))/((-44)/(-110)). -4 Calculate ((324/(-7))/(-54))/(22/(-70)). -30/11 What is the value of (5/((-10)/(-1)))/(((-85)/(-120))/17)? 12 What is the value of 1680/160*360/(-105)? -36 Calculate 25/5*(-9)/9. -5 Calculate (3*42/27)/(6*13/117). 7 What is (-14)/(-10)*-42*(-25)/1225? 6/5 (1/12*-14)/((-280)/360) 3/2 Calculate (-7)/21*(-84)/(-2). -14 Calculate (-320)/(-560)*42/32. 3/4 Calculate (((-14)/15)/(-14))/(((-10)/50)/(-1)). 1/3 Evaluate (-11)/11*19/1. -19 What is the value of ((-68)/(-272))/(3/(-756)*3)? -21 Calculate ((-14)/(-105))/((-6)/(-15))*(-24)/(-84). 2/21 What is ((-222)/333)/((-10)/6)? 2/5 Evaluate ((-66)/(-55)*2)/((-1)/(50/(-15))). 8 What is (1722/(-12054))/(2/(4/7))? -2/49 Calculate ((-35)/(-150))/((-448)/(-320)). 1/6 What is the value of ((-3080)/99)/14*-6*5/(-20)? -10/3 (232/11020)/(((-6)/(-20))/(-3)) -4/19 What is 23/(6/(60/10))? 23 -4*3*(-10)/(-15)*2 -16 What is the value of 3*1*(-1157)/(-31239)? 1/9 What is (-2)/((-10)/(-57))*-19*95/1083? 19 What is (-21)/(-532)*(-722)/(-228)? 1/8 What is (1096/(-2877))/(6*-1)*14/4? 2/9 What is the value of (-6)/(-36)*-6*4/8*-18? 9 What is (-84)/36*780/70? -26 (894/(-2086))/(8/(-7)) 3/8 Evaluate (26/16)/(-27*(-22)/9504). 26 What is (4/2*7/(-6))/(117/(-351))? 7 Calculate ((-2)/4)/(22*(-3)/33). 1/4 Calculate ((-152)/6)/(332/83). -19/3 What is the value of (0/3*147/147)/1? 0 Evaluate ((-124)/(-124))/(3/6)*(-2)/(-26). 2/13 What is the value of ((-15)/(1785/34))/(78/21)? -1/13 What is the value of ((8/(-15))/((-1)/3))/((-1154)/14425)? -20 Evaluate (29/(-87))/(2/42). -7 What is -30*((-1953)/(-62))/63? -15 3/27*-6*(-30)/(-2) -10 Evaluate ((-141)/235)/(4/200*-6). 5 What is the value of ((-2)/1020*-9)/(8*16/1280)? 3/17 What is ((36/63)/(6/(-210)))/(-2)? 10 ((-414)/(-1449))/(4/(-126)) -9 Evaluate (156/507)/(((-36)/26)/(-3)). 2/3 Calculate ((-28)/1701)/((-258)/(-387)). -2/81 What is (348/144)/29*(-8)/2? -1/3 Calculate (((-522)/15)/29)/((-3)/(-110)*2). -22 Evaluate (((-2214)/468)/(-123))/((-1)/24*2). -6/13 What is the value of (-1494)/2490*(-15)/(-9)? -1 Evaluate (((-775)/(-31))/25)/(1/(-25)). -25 (1/(3/(-2)))/((-31)/((-930)/(-5))) 4 (2/(-8)*16/(-6))/((-396)/108) -2/11 Evaluate 14/7*(-9)/216*(-6)/(-4). -1/8 Evaluate (-3472)/(-1085)*(-3)/((-6)/(-5)). -8 What is the value of ((-240)/(-400))/((13/(-20))/(-13))? 12 Calculate (-150)/575*4/48*-2. 1/23 Evaluate (((-4)/(-40))/1)/((-2)/6). -3/10 Calculate 60/(-48)*7*(48/70)/12. -1/2 Evaluate 0*2*14/28. 0 What is (6/(-12))/(52/(-1040))? 10 What is the value of 56/(-21)*((-75)/(-180))/((-1)/9)? 10 What is the value of 11/(-4719)*13*-30? 10/11 (12/(-8))/(-11*(-18)/264) -2 What is the value of 4/((-49)/(-2)*23/((-805)/20))? -2/7 What is 4/(32/12)*23/(161/14)? 3 Calculate (-144)/(-96)*(5/(-120))/(1/2). -1/8 (-18)/10*((-6720)/(-72))/28 -6 5/(-75)*-3*130/26 1 What is the value of (-2)/(-268)*(-500)/125? -2/67 ((-87)/(-58))/(1/3) 9/2 (-3)/(-85)*(-95)/19 -3/17 ((-7)/((-168)/(-40)))/(2/(-6)) 5 Calculate ((-6)/16)/(12/(-8)*2/4). 1/2 What is the value of ((-35)/(-5))/(343/392)? 8 What is ((-943)/161)/(-41)*-35? -5 What is the value of (-1)/((-10)/8)*-170*53/(-46852)? 2/13 Calculate ((-10)/585)/((-7)/(-63)). -2/13 Evaluate 5*39/(-325)*-5. 3 What is 43/(-860)*-260*1? 13 Evaluate (-120)/(-160)*-12*3/63. -3/7 Calculate ((-2)/(-10)*6)/((-489)/(-45640)*-14). -8 Calculate ((-91)/((-1820)/800))/(-2). -20 What is 9/(216/(-88))*3/1? -11 What is ((96/40)/6)/((-4)/(-30))? 3 Calculate (8/(1/(2/(-4))))/(225/(-15)). 4/15 What is the value of 16/(-4928)*-49*(-5)/(175/(-10))? 1/22 Evaluate (124/(-31))/((-8)/46)*1. 23 What is the value of ((-42)/12)/(41/(-164))? 14 0/(16/((-32)/8)) 0 Calculate 38/1824*36*1/(-3). -1/4 Calculate (-30)/(-95)*(3/18)/((-60)/40). -2/57 What is the value of (-75)/(-300)*30/35? 3/14 (78/208)/(((-4)/6)/((-14)/126)) 1/16 Evaluate ((-104)/78)/(((-156)/(-126))/13). -14 Calculate (68/(-34))/(315/15). -2/21 Calculate (32/(1920/195))/(2/(16*1)). 26 What is 684/(-114)*(-44)/(-12)? -22 What is the value of -9*35/(-189)*(-27)/5? -9 (10/280*4)/(11/(-77)) -1 What is the value of ((-141)/(-188))/((-33)/(-28))*(-12)/(-6)? 14/11 Calculate 4/((-1*(-2)/(-12))/(2/(-6))). 8 What is 1/(16/(-68)*6*6/288)? -34 Evaluate (-21)/(-28)*(-440)/(-60). 11/2 Calculate ((-44)/(-2))/((-4)/(-5)*(-45)/18). -11 Calculate 1*(-1)/(((-140)/(-10))/7). -1/2 Evaluate 700/400*1/(-7). -1/4 25/((-100)/(-80)*7) 20/7 Eval
{ "pile_set_name": "DM Mathematics" }
False Let d = 13 + -14. Is (-6 - -5)*d*67 composite? False Suppose -x + 4*x - 9 = 3*u, 0 = -x + 5*u - 5. Suppose 2*h = 57 + x. Is h prime? True Suppose -2*l - 2*l + 11 = -d, -d - l = 6. Let g = 7 + d. Suppose -5*i + 274 - 39 = g. Is i a prime number? True Is (2/6)/(2/17214) prime? False Suppose -4*j - 16 = -2*s, -j = -1 + 5. Suppose 2*t + s*t = 8. Is t a composite number? True Let m be 101/2 - (-3)/(-6). Let u = 101 - 70. Let s = m - u. Is s composite? False Let h be (0 + 1)*-1 + -8. Let a(w) = 23*w - 4. Let o(c) = 11*c - 2. Let s(t) = h*o(t) + 4*a(t). Is s(-7) a prime number? False Suppose -q + 1 = 0, 0 = -3*p - 4*q + 5*q + 2006. Is p a prime number? False Let l = -5 - -5. Suppose -226 = -0*y - 4*y + 2*d, l = 4*y - d - 223. Is y a prime number? False Suppose 5 = 2*f + 1. Suppose 0 = -f*k + 7*k - 1260. Suppose 4*b - k = 128. Is b a prime number? False Let b(p) = -60*p + 38. Is b(-27) a composite number? True Let p(s) = s**2 - s + 1. Let d be (-336)/88 + 2/(-11). Let o(r) = -r**2 - 4*r + 3. Let k be o(d). Is p(k) a composite number? False Let u = 10 - 8. Suppose -108 = -u*d + 2*b, -2*b + 4 + 47 = d. Is d composite? False Suppose -w + 1262 = -0*w - 3*p, -3*w = 3*p - 3774. Is w a composite number? False Let j be (-9)/18 - 170/4. Let z = 44 - j. Is z a composite number? True Suppose 2*o + 3*v + 288 = -o, 5*v + 100 = -o. Let t be (-136)/(-2 + 1) + -2. Let x = o + t. Is x a composite number? True Is (4/2)/1 + 203 prime? False Is 962/14 - (-50)/175 prime? False Suppose -3 = a - j - 0*j, 0 = -2*a - j + 6. Is (52 - (a + 2)) + 0 composite? True Let b(k) = 13*k**2 + 2*k + 16. Is b(9) composite? False Let o = 3 + 0. Suppose -3*t = 2*t - 20, -4*j - o*t = -20. Suppose p = -p - 4*i + 42, i - 57 = -j*p. Is p a prime number? True Suppose -2*v = -6*v - 3*j + 1520, -5*v = j - 1889. Is v prime? False Suppose 0 = 5*t - 2*t. Let h(d) = -d + 76. Let q be h(t). Let f = q - 53. Is f a composite number? False Let q(v) be the second derivative of -5*v**3/3 - v**2/2 + 2*v. Is q(-2) a prime number? True Suppose 2*u = i - 2, 5*u - u + 10 = 3*i. Suppose -19 = -5*t + i. Is (174/t)/(2/5) a prime number? False Let v(a) = -a**2 - 13*a - 5. Suppose 3 = -2*q - 0*k - 3*k, -4*k - 14 = q. Let y be (q/4)/((-1)/4). Is v(y) a composite number? False Is 127*3*-6*(-6)/108 a composite number? False Let q = 4 + 58. Suppose 5*y = 43 + q. Suppose 0 = 2*k + k - y. Is k a composite number? False Suppose 4*q + 8 = 2*k, -q = -3*q. Suppose 9*n - k*n - 265 = 0. Is n prime? True Is (-828)/(-15) + 6/(-30) a prime number? False Let z(t) = 4*t**2 + 6*t - 17. Is z(-8) a prime number? True Suppose 18 = y + 5*j, -j + 3 + 1 = 0. Let l be (y + 3)/(1/2). Suppose -77 = -2*s - d + l*d, s - 33 = -5*d. Is s composite? True Suppose n - v - 374 = 0, n + 3*v - 250 = 112. Is n a prime number? False Let t(j) = -279*j. Let r be t(-1). Suppose 4*w - 59 = -2*d + r, -5*w + 424 = d. Is w a composite number? True Let v(t) = 469*t**2 - t + 1. Is v(1) a composite number? True Suppose -p + 87 = b, 3*b - 5*p = 46 + 183. Is b a prime number? True Let p = 41 - 78. Let y = p - -74. Is y a composite number? False Suppose -104 = 3*f - 11. Let l = f + 50. Is l prime? True Let j be 138/(-15)*60/(-2). Is (26/(-6))/((-4)/j) composite? True Let a(c) = 14*c + 1. Suppose -2*t = t - 15. Let v = t + -4. Is a(v) a prime number? False Suppose -503 = 2*d - 5*d - 5*j, -5*d = j - 809. Is d a prime number? False Let t(a) = a**3 + 4*a**2 - 3*a - 5. Let w be t(-4). Suppose r + w = 41. Is r composite? True Suppose 0*d - 3*d = 5*x - 364, -3*d + x + 334 = 0. Is d a prime number? True Let v(f) = f**3 - f**2 - 5*f - 6. Is v(5) prime? False Let p = 31 + -16. Is 11145/p*(1 - 0) prime? True Suppose -5*f = -8*f + 1479. Is f composite? True Let r(a) = a**3 - 5*a**2 - 5*a - 2. Let j be r(6). Let l be ((-6)/8)/(j/16). Is (l + 2)/1 + 38 a composite number? False Suppose 8*u + 146 = 9*u. Is u a composite number? True Let q = -1038 - -2815. Is q composite? False Suppose -3*w + 15 = -0*w. Suppose -18 + 88 = -w*y. Is (-4)/y - (-962)/14 a composite number? True Let q(a) be the second derivative of 17*a**5/30 + a**3/6 + a**2 - 2*a. Let p(k) be the first derivative of q(k). Is p(1) a prime number? False Let z = -2 - 0. Let f be z/(-3) + 65/15. Suppose 5*c = -f, -c - 26 = -2*g + 21. Is g prime? True Is 0 - (-4 + -301 + -2) composite? False Suppose -402 = 5*c - 1327. Suppose z = -4*z + c. Is z prime? True Suppose 0 = 3*y - 8 + 2. Suppose -y*m - 76 = -4*m. Is m a prime number? False Let h(o) = 4*o - 3*o - 6*o**2 + 5*o**2 + 79 + 0*o**2. Is h(0) a prime number? True Suppose 26 = 6*w - 2*w + 2*a, 4*a = 12. Suppose 2*h + 0*b - w*b - 12 = 0, -27 = -3*h + 3*b. Is h composite? False Suppose -3*q + 0*q - 3*d + 1947 = 0, -2*d - 8 = 0. Is q a composite number? False Suppose u + 3 - 2 = 0. Let z be 1/((-78)/81 - u). Suppose -4*q + q = -z. Is q prime? False Let m = 191 + 37. Let i = -87 + m. Is i a prime number? False Suppose 0 = n + 4*c - 2, 4*n = -6*c + c - 3. Let r be 0 - ((0 - 53) + n). Suppose -8*w + 3*w + r = 0. Is w composite? False Suppose 5*x - x = a + 100, -3*x + a + 75 = 0. Let q = x - 14. Is q a prime number? True Suppose 5*k = 2*k + 3. Is 120 - ((-8)/2 + k) a composite number? True Suppose 0 = -5*p - 135 + 620. Is p a composite number? False Let u be 2/9 + (-3585)/(-27). Suppose -3*d + u = 31. Is d prime? False Let x(q) = -121*q + 5. Is x(-4) a prime number? False Let k(c) = 14*c - 6. Is k(16) a prime number? False Is -2*4/(-8)*53 a composite number? False Suppose -s - 3*b + 10 = 0, 4*b - 6 = -7*s + 2*s. Is (1/s)/((-11)/10714) prime? True Is (9/(-15))/((-2)/110) a prime number? False Let i(f) be the third derivative of f**6/120 + f**5/12 - f**4/24 - f**3/6 + f**2. Let z be i(-5). Is z/(-22) - (-1003)/11 a prime number? False Suppose 2*g + 3*g = 15. Let z(j) = 6*j**2 - 3*j + 4. Let r be z(g). Let d = -16 + r. Is d prime? False Suppose 4*x = -t + 9, -4*t + 2 = -5*x + 8. Let a(i) = 3 + 0*i**2 - i + 3*i**x + 11*i**2 - i. Is a(2) prime? False Suppose -3*p + 636 = p. Is p a prime number? False Let y(f) = f - 2. Let x be y(5). Let r = 1 - 1. Suppose r = x*c - 2*o - 161, -7*c = -2*c + o - 264. Is c a composite number? False Suppose d + 0 = 5. Suppose d*x + 9 = -46. Is 4/22 + (-339)/x a composite number? False Let q(y) = -20*y**2 - 3*y - 1. Let d be q(-2). Let u = -44 - d. Is u a prime number? True Let g = -238 + 545. Is g a prime number? True Let w = -25 + 25. Is (w - -4)*(-267)/(-12) a prime number? True Suppose 5*o + 2*f - 63 = 4*o, -15 = -5*f. Is o composite? True Suppose 1 = 2*w - 3*m - 10, 5*m = -5*w + 15. Is ((-2)/(-3))/(w/762) composite? False Let g(u) = -11*u**2 - 12*u + 9. Let k be g(-9). Let l be (-5)/(-20) + k/(-8). Let j = -66 + l. Is j a prime number? True Suppose -7*v + 9527 = -0*v. Is v prime? True Let y = -5 - -7. Suppose r = -y*b + 39, 59 = 3*b + r + r. Is b prime? True Let r(g) = 20*g**2 - 2*g + 3. Is r(-4) a prime number? True Is ((-6)/9)/(4/(-522)) composite? True Let x be (-206)/(-6) - (-1)/(-3). Let a = x + 54. Let m = -41 + a. Is m prime? True Suppose 86 = v - 73. Is v prime? False Let g(w) = 542*w - 5. Is g(3) composite? False Let z(y) = 3*y**2 - 18*y - 10. Is z(15) a composite number? True Suppose 0 = 2*b - b - 533. Is b prime? False Let i = -1492 - -2643. Is i a prime number? True Is ((-3)/((-3)/10))/(12/2994) composite? True Let u be (-2)/(1 - 2) + -83. Let w = u + 134. Is w a prime number? True Let w(i) = 8*i - 5. Let p(s) = 3*s**3 - 4*s**2 + s + 2. Let d be p(2). Is w(d) prime? False Let j be 7*14 - (0 + -2). Let x = j + -182. Let k = x - -293. Is k a prime number? True Let q be -3 + (-2 - -309)/1. Suppose q = 4*o - 924. Is o a prime number? True Let g = 377 + -35. Suppose 4*m - i - g = 28, -m - 2*i = -97. Is m composite? True Let v(t) = t**3 + 11*t**2 - 11*t - 2. Suppose -5*a = 4*u - 15, 0*u + 12 = 4*a - u. Let r(z) = -3*z. Let l be r(a). Is v(l) a composite number? True Is 4/(-1) - (1179/(-3) + -2) composite? True Let f(u) = 7*u + 2. Let m(z) = -z**3 - 5*z**2 - 6*z - 5. Let s be m(-4). Is f(s) a prime number? True Suppose 4*y - 712 = h, 3544 = -5*h - 0*y + 4*y. Let d = -137 - h. Is d a composite number? False Let k(d) be the third derivative of 17*d**4/24 - 2*d**3/3 + d**2. Is k(9) a composite number? False Suppose -262 = -0*g - 2*g. Is g co
{ "pile_set_name": "DM Mathematics" }
, 970074? 323358*f What is the x'th term of 694, 526, 358? -168*x + 862 What is the z'th term of 600, 2578, 5882, 10512? 663*z**2 - 11*z - 52 What is the s'th term of 885, 887, 899, 927, 977, 1055, 1167? s**3 - s**2 - 2*s + 887 What is the o'th term of 25643, 25673, 25703, 25733, 25763, 25793? 30*o + 25613 What is the t'th term of -488530, -488527, -488522, -488515, -488506, -488495, -488482? t**2 - 488531 What is the o'th term of 14831, 29648, 44465, 59282, 74099, 88916? 14817*o + 14 What is the x'th term of 2208, 2879, 3550? 671*x + 1537 What is the q'th term of 6375, 25541, 57487, 102213, 159719? 6390*q**2 - 4*q - 11 What is the m'th term of -511, 497, 1505, 2513? 1008*m - 1519 What is the l'th term of -96, -474, -1214, -2406, -4140? -15*l**3 - 91*l**2 + 10 What is the d'th term of 895, 905, 927, 961, 1007, 1065? 6*d**2 - 8*d + 897 What is the r'th term of 1030, 1037, 1050, 1069? 3*r**2 - 2*r + 1029 What is the j'th term of -6830, -14101, -21374, -28649, -35926? -j**2 - 7268*j + 439 What is the u'th term of 1402054, 1402055, 1402056, 1402057? u + 1402053 What is the r'th term of -128, -245, -338, -395, -404, -353? 2*r**3 - 131*r + 1 What is the o'th term of 5898, 11814, 17730? 5916*o - 18 What is the g'th term of 52797, 105590, 158383, 211176? 52793*g + 4 What is the w'th term of -2572, -2547, -2522, -2497, -2472? 25*w - 2597 What is the c'th term of -5029, -10136, -15243, -20350, -25457, -30564? -5107*c + 78 What is the d'th term of 428, 1893, 4336, 7757? 489*d**2 - 2*d - 59 What is the u'th term of -9103, -18215, -27327, -36439, -45551? -9112*u + 9 What is the v'th term of 3379, 3405, 3449, 3511, 3591? 9*v**2 - v + 3371 What is the b'th term of -8149, -8164, -8221, -8344, -8557, -8884, -9349, -9976? -4*b**3 + 3*b**2 + 4*b - 8152 What is the r'th term of 2706, 10846, 24404, 43380, 67774? 2709*r**2 + 13*r - 16 What is the n'th term of -4209, -4303, -4563, -5073, -5917, -7179, -8943, -11293? -14*n**3 + n**2 + n - 4197 What is the c'th term of 164, 307, 438, 557, 664, 759? -6*c**2 + 161*c + 9 What is the h'th term of 13433, 26849, 40263, 53675, 67085? -h**2 + 13419*h + 15 What is the y'th term of 15992, 15993, 15996, 16001, 16008? y**2 - 2*y + 15993 What is the c'th term of -30584, -122325, -275228, -489293, -764520? -30581*c**2 + 2*c - 5 What is the n'th term of -62594, -62622, -62668, -62738, -62838? -n**3 - 3*n**2 - 12*n - 62578 What is the a'th term of -167, -124, -53, 46? 14*a**2 + a - 182 What is the y'th term of -365, -479, -691, -1019, -1481, -2095, -2879? -3*y**3 - 31*y**2 - 331 What is the m'th term of 173, 222, 321, 494, 765? 4*m**3 + m**2 + 18*m + 150 What is the g'th term of 85404, 170801, 256198, 341595? 85397*g + 7 What is the v'th term of -2508, -5009, -7510, -10011, -12512, -15013? -2501*v - 7 What is the t'th term of -11112, -44439, -99982, -177741, -277716? -11108*t**2 - 3*t - 1 What is the r'th term of 18706, 37429, 56138, 74827, 93490, 112121, 130714? -r**3 - r**2 + 18733*r - 25 What is the y'th term of -815, -959, -1113, -1283, -1475, -1695? -y**3 + y**2 - 140*y - 675 What is the v'th term of 17859, 35732, 53605, 71478, 89351? 17873*v - 14 What is the g'th term of 3398, 3442, 3512, 3614, 3754, 3938, 4172? g**3 + 7*g**2 + 16*g + 3374 What is the k'th term of -5500, -22006, -49518, -88042, -137584? -k**3 - 5497*k**2 - 8*k + 6 What is the q'th term of -12369377, -12369373, -12369367, -12369359, -12369349, -12369337, -12369323? q**2 + q - 12369379 What is the w'th term of 62, 21, -36, -115, -222, -363, -544? -w**3 - 2*w**2 - 28*w + 93 What is the c'th term of 29, 237, 723, 1601, 2985? 19*c**3 + 25*c**2 - 15 What is the z'th term of 7487, 15074, 22645, 30194, 37715, 45202? -z**3 - 2*z**2 + 7600*z - 110 What is the i'th term of 1264, 1367, 1454, 1525? -8*i**2 + 127*i + 1145 What is the u'th term of -315, -658, -1023, -1404, -1795? u**3 - 17*u**2 - 299*u What is the j'th term of 780, 810, 856, 924, 1020, 1150, 1320? j**3 + 2*j**2 + 17*j + 760 What is the g'th term of 42759, 85520, 128289, 171066? 4*g**2 + 42749*g + 6 What is the n'th term of 1721, 3444, 5167? 1723*n - 2 What is the h'th term of 20699, 82805, 186321, 331247, 517583, 745329? 20705*h**2 - 9*h + 3 What is the c'th term of 3404, 7004, 10604, 14204? 3600*c - 196 What is the m'th term of -896, -1799, -2706, -3617, -4532, -5451, -6374? -2*m**2 - 897*m + 3 What is the n'th term of 4608, 18712, 42218, 75126, 117436, 169148? 4701*n**2 + n - 94 What is the l'th term of 858, 828, 798, 786, 810, 888, 1038? 3*l**3 - 18*l**2 + 3*l + 870 What is the q'th term of 925, 962, 1001, 1042? q**2 + 34*q + 890 What is the z'th term of 169, 274, 377, 478, 577, 674? -z**2 + 108*z + 62 What is the u'th term of -983, -4010, -9055, -16118, -25199, -36298, -49415? -1009*u**2 + 26 What is the f'th term of -754, -1478, -2200, -2920, -3638? f**2 - 727*f - 28 What is the u'th term of 8933, 8929, 8923, 8915, 8905, 8893, 8879? -u**2 - u + 8935 What is the w'th term of -55996, -55999, -56002, -56005, -56008? -3*w - 55993 What is the o'th term of -235144, -235146, -235150, -235156, -235164? -o**2 + o - 235144 What is the y'th term of -277, -1091, -2441, -4321, -6725? y**3 - 274*y**2 + y - 5 What is the p'th term of 403, 804, 1207, 1612, 2019? p**2 + 398*p + 4 What is the g'th term of 1492, 1523, 1552, 1579, 1604, 1627, 1648? -g**2 + 34*g + 1459 What is the z'th term of -687, -568, -449, -330, -211, -92? 119*z - 806 What is the w'th term of -10470, -20756, -31044, -41334, -51626? -w**2 - 10283*w - 186 What is the t'th term of -5853, -5852, -5851, -5850, -5849? t - 5854 What is the l'th term of -2709, -2720, -2745, -2784? -7*l**2 + 10*l - 2712 What is the c'th term of 390, 1782, 4234, 7854, 12750, 19030, 26802, 36174? 18*c**3 + 422*c**2 - 50 What is the u'th term of -64263, -64224, -64153, -64044, -63891, -63688, -63429? u**3 + 10*u**2 + 2*u - 64276 What is the r'th term of -298, -601, -906, -1213, -1522? -r**2 - 300*r + 3 What is the m'th term of -605643, -605642, -605641, -605640? m - 605644 What is the j'th term of -70038, -70039, -70040, -70041? -j - 70037 What is the z'th term of 357987, 715978, 1073969, 1431960, 1789951? 357991*z - 4 What is the o'th term of -34117, -33992, -33867, -33742, -33617? 125*o - 34242 What is the p'th term of 238, 497, 806, 1189, 1670? 4*p**3 + p**2 + 228*p + 5 What is the y'th term of 500, 2020, 4554, 8102, 12664, 18240, 24830? 507*y**2 - y - 6 What is the o'th term of -399, -3223, -10893, -25833, -50467? -404*o**3 + o**2 + o + 3 What is the h'th term of 26708, 26695, 26668, 26621, 26548, 26443, 26300? -h**3 - h**2 - 3*h + 26713 What is the y'th term of -72, -361, -956, -1953, -3448? -16*y**3 - 57*y**2 - 6*y + 7 What is the b'th term of -127, -180, -267, -394, -567? -b**3 - 11*b**2 - 13*b - 102 What is the s'th term of -375077, -375078, -375079, -375080? -s - 375076 What is the s'th term of -4054, -4088, -4120, -4150? s**2 - 37*s - 4018 What is the c'th term of 287, 416, 623, 908, 1271? 39*c**2 + 12*c + 236 What is the w'th term of 13651, 13648, 13641, 13630? -2*w**2 + 3*w + 13650 What is the v'th term of -522000, -522002, -522006, -522012, -522020, -522030? -v**2 + v - 522000 What is the j'th term of 2698766, 2698765, 2698764? -j + 2698767 What is the x'th term of 1068, 2122, 3176, 4230? 1054*x + 14 What is the n'th term of 103, 185, 267? 82*n + 21 What is the a'th term of -45386, -45410, -45448, -45506, -45590, -45706, -45860, -46058? -a**3 - a**2 - 14*a - 45370 What is the s'th term of -726, -1476, -2214, -2928, -3606, -4236? 2*s**3 - 6*s**2 - 746*s + 24 What is the o'th term of -195, -425, -693, -993, -1319, -1665, -2025, -2393? o**3 - 25*o**2 - 162*o - 9 What is the f'th term of -138, -274, -462, -702, -994, -1338? -26*f**2 - 58*f - 54 What is the g'th term of 4258, 8523, 12792, 17065, 21342, 25623, 29908? 2*g**2 + 4259*g - 3 What is the g'th term of 80515, 80525, 80545, 80581, 80639, 80725, 80845, 81005? g**3 - g**2 + 6*g + 80509 What is the f'th term of -2939, -4636, -6329, -8018, -9703, -11384, -13061? 2*f**2 - 1703*f - 1238 What is the l'th term of -207, -390, -539, -636, -663? 3*l**3 - l**2 - 201*l - 8 What is the s'th term of -454, -444, -430, -412, -390, -364, -334? 2*s**2 + 4*s - 460 What is the w'th term of -3998, -7860, -11724, -15590, -19458, -2332
{ "pile_set_name": "DM Mathematics" }
w be i(-4). Let q(f) = -f**2 - 14*f - 37. Let y be q(-10). Solve -y*d - 24 + 9 = w for d. -5 Let f be 0 + -1 + 3 + 5. Let j = f - 5. Suppose -2*z + 12 = j. Solve -z*i + 1 = -4*i for i. 1 Let u = -152 + 154. Solve u*w + 9 = -1 for w. -5 Let p be 8 - (-52)/(-6) - 10/(-6). Solve 4*g - p = -5 for g. -1 Let b(y) = -y**2 - 16*y - 23. Let n be b(-14). Solve 2 = -n*z - 3 for z. -1 Let h(f) = 7*f**2 + 5*f - 2*f**2 - 3*f - f**3. Let g be h(5). Solve -5*x = -g + 25 for x. -3 Suppose 33*n - 38*n + 20 = 0. Solve -n*j - 8 = -2*j for j. -4 Suppose 17 = -3*k - 5*t + 62, -4*t + 12 = 0. Solve -3*i - k = -8*i for i. 2 Suppose 4 = 2*k - 6. Solve -9*r = -k*r for r. 0 Let c(h) = 2*h + 46. Let v be c(-23). Solve 2 + v = 2*u for u. 1 Let f be (-2)/6 + (10/3 - 1). Solve c = f + 2 for c. 4 Let h = 4 - -47. Let w = -35 + h. Suppose -5*c - 15 = -10*c. Solve -o = c*o + w for o. -4 Let f(n) = n**2 + 2*n - 2. Let w be f(-3). Let b = 3 - w. Solve -3*j - 20 = b*j for j. -4 Let i = 1 - -1. Let w(v) = -3*v + 4*v - v**2 + 12*v**i. Let p be w(-1). Solve 0 = -4*l + p + 10 for l. 5 Suppose -2*v + 3 = -1. Suppose v*c + 7 = -5*y, 0*c + 5*y + 11 = -c. Solve -2*i - c = -0 for i. -2 Let s(j) = j**3 - 9*j**2 + 3*j - 21. Let v be s(9). Solve -5*y - v = 9 for y. -3 Suppose 3*a + k + 11 = 0, 3*k - 2*k - 5 = 5*a. Let f be ((-1)/a)/((-6)/(-60)). Solve f*o - 8 = 12 for o. 4 Let n(p) = -p**2 + 12*p - 11. Let v be n(8). Suppose -6*d - v = -g - 2*d, 4*g - 84 = 3*d. Let t be 2/(0 - (-6)/g). Solve -t = 3*a + 8 for a. -5 Suppose 21 = l + 5*u, l - u - 17 = -4*u. Suppose 4*d - 4 = 8. Suppose 0 = g + d*g - 12. Solve 1 = -g*a - l for a. -4 Suppose -3*s - 2 = -2*s. Let u be -1 - -2 - (s - -1). Suppose 0 = -5*h - 4*n + 45, 0 = u*n + n - 15. Solve 3*g + h = 2 for g. -1 Let m(b) = b**2 - 4. Let d be m(-3). Suppose -d*k + 25 = -0*k. Solve 3*c = -k - 1 for c. -2 Suppose 23 = 4*t - 5*l, 3*t = 5*l - 2*l + 15. Solve 15 = -t*b - b for b. -5 Let m(n) = 7*n**2 - 2*n + 2. Let o be m(2). Let t(y) = 38*y**2. Let p be t(1). Let w = p - o. Solve 5*v - w = v for v. 3 Let u = -8 + 10. Solve -u*z = -4*z - 2 for z. -1 Suppose 0 = -4*z + z - 6. Let n = 0 - z. Solve 0 = -n*p + 3*p - 3 for p. 3 Let t(m) = -m + 9. Let f be (-3)/3*2*-2. Let w be t(f). Solve w = 4*n - 7 for n. 3 Let b = 29 - 25. Let d(c) = c - 12. Let r be d(7). Let v be 36/15 - (-2)/r. Solve 0 = -v*w - b + 6 for w. 1 Let n = -4 + 11. Suppose 0 = 5*x + 5, w = -6*x + 4*x. Let a = -13 - -23. Solve w*d = n*d + a for d. -2 Suppose 0 = 4*t + 2*t - 30. Solve -13 = -t*c + 7 for c. 4 Let s = 1 - 1. Solve 3*a + s + 3 = 0 for a. -1 Let a(z) be the second derivative of -z**4/12 - 3*z**3/2 - 9*z**2/2 + z. Let p be a(-7). Solve 1 - p = -2*j for j. 2 Let t = 2 + 1. Let l be (-6)/9 + 20/t. Suppose -l*b = -b - 15. Solve b - 15 = -3*g for g. 4 Let m(q) = 19*q**2 + q - 1. Let a be m(3). Suppose p - 2*v = 56 + 10, 3*p - v = a. Let d = p + -36. Solve -6*t + d = -t for t. 4 Suppose 30*o - 29*o = 5. Solve 6 = o*h - 4 for h. 2 Let a be (-2 + (-35)/(-10))/(6/40). Solve a + 5 = -5*u for u. -3 Let v(n) = 2*n - 4. Let y be v(2). Let d = y + 1. Solve h + d = -0*h for h. -1 Suppose -5 = -5*u, -2*a = 5*u + 2 + 1. Let y = 6 + a. Solve 2*p = p + y for p. 2 Suppose -2*r + 21 = -t - 6, -3*t = 3*r - 27. Let i(v) = -v**3 + 3*v**2 + v - 2. Let u be i(3). Let w = u + -1. Solve w = -5*o + o - r for o. -3 Suppose 4*d = 2*d + 4. Suppose d*c - 3*c + 4 = 0. Solve -4 = -c*x + 3*x for x. 4 Let x = 36 - 32. Solve -x*m - 6 = -2 for m. -1 Let o(n) = 4*n**3 + n**2 - 1. Let l be o(1). Let i(d) = -2*d**3 - d**2 + 1 + 4*d**2 + d**3. Let k be i(3). Solve -3*p - l = -k for p. -1 Let w = 0 + -2. Let j be w + -3 - -1 - -2. Let l(m) = m**2 + m + 2. Let o be l(j). Solve a + o*a + 15 = 0 for a. -3 Let h = -8 - -3. Let a = h + 10. Solve 0 = -4*q + a*q for q. 0 Let i(b) = 3*b**3 - b**2. Let k be (-1 - 4/(-2))*1. Let v be i(k). Solve 0 = -v*z - 4 for z. -2 Let u(z) = z - 13. Let v be u(17). Solve -1 = -3*y - v for y. -1 Suppose 5*v - 7 = 3. Suppose -2*s + 5*q - 17 - 11 = 0, s + 3*q + 3 = 0. Let f be 4/18 + (-7)/s. Solve f = v*h + 3 for h. -1 Suppose -5 = -s - 22. Let f(r) = 4*r**2 - r + 1. Let i be f(-3). Let l = s + i. Solve -l = -3*n - 8 for n. 5 Let l be 2 + -2 + (-4)/(-1). Suppose w = -4*a - 15, w - a = 2*w + 6. Let n = w + l. Solve c + 2 - n = 0 for c. -1 Suppose 3*b = -4*k + 37, -4*b + k = -3*b - 3. Suppose -q - 2*j - 31 = -6*q, 4*j = -q - b. Suppose -g = -q*g. Solve g*f = -2*f + 8 for f. 4 Suppose 0 = -0*b + 4*b - 60. Solve -b = 2*j + j for j. -5 Let q(l) = -2*l - 11. Let s be q(-11). Let b = s - 9. Solve k - 1 = -b for k. -1 Suppose -4 = 3*j + 41. Let m = -15 - j. Suppose 10 + 5 = 5*c. Solve m*f = 3*f - c for f. 1 Let w(r) = r - 4. Let i be w(3). Let f be (0 + -1)*(1 + i). Suppose -1 = -t + 2*l, 3 = 3*l - f. Solve 0*b + t*b = 3 for b. 1 Let j(g) = -g**3 + 4*g**2 + 2*g - 6. Let l be j(4). Suppose 5*q - 2*h = h + 60, -q + l*h + 5 = 0. Solve 6*r - 3*r + q = 0 for r. -5 Let i be ((-28)/(-42))/((-1)/(-3)). Solve i = 4*x + 18 for x. -4 Suppose 2 = u - 2*h, 0 = -3*u - 4*h - h - 5. Solve u = 6*x + 14 + 10 for x. -4 Let j(n) = n**2 + 6*n + 2. Let r be j(-6). Solve -3*q + 7 + r = 0 for q. 3 Let p(y) = y**3 + 7*y**2 - 8. Let m(l) = l**3 + 8*l**2 - 9. Let x(u) = 3*m(u) - 4*p(u). Let g be x(-4). Let r = -12 - -27. Solve g*v + 0*v = -r for v. -3 Let b be (-4)/26 - (-240)/208. Let l be ((-1)/b)/(1/(-5)). Solve l*z - 4*z = 0 for z. 0 Let i(o) = o**3 + o. Let w(c) = -3*c**3 - 5*c**2 - 5*c + 3. Let b(h) = -4*i(h) - w(h). Let f be b(5). Solve f*m = -2*m - 4 for m. -1 Suppose 3*p + p - 4 = 0. Suppose 5*n + 60 = -4*u, -u = 3*u + 4*n + 56. Let g = 14 + u. Solve p = -f - g for f. -5 Suppose 0 = -2*a - 3*a - 5*s + 15, -4*s = 3*a - 12. Solve 25 = 5*k - a*k for k. 5 Suppose 2*x - x + 3*v - 6 = 0, 0 = 3*x + v - 18. Let m(a) = -a**2 + 10*a - 8. Let r be m(9). Let y = r + -1. Solve -2*t + y*t = -x for t. 3 Suppose 4 = -4*l + 16, 2*l = 2*r - 8. Solve -s + 2 = r for s. -5 Let c(a) = a**2 + 3*a - 3. Let j be c(-4). Suppose -2*p - p + 3*g = 0, 4*g = 5*p. Let b be (-3 + 7)*(p + j). Solve 0 = l + 1 - b for l. 3 Let k(u) = u**3 + 7*u**2 - 8*u + 7. Let w be k(-8). Solve -4*b = -w*b + 3 for b. 1 Suppose 41*f - 44*f = -12. Let n be (-6)/f*(-20)/15. Solve -n*c - 3 = -9 for c. 3 Let a(x) = -x**2 - 9*x - 11. Let q be a(-5). Solve q = -5*b - 6 for b. -3 Suppose -t + k = -8, -4*k = -5 + 25. Solve -5*s = -2*s - t for s. 1 Let o = 67 + -64. Solve 4 = o*n - 11 for n. 5 Let u(t) be the third derivative of t**6/120 - 2*t**5/15 + 7*t**4/24 - 2*t**3/3 + t**2. Let x be u(7). Let g = x - -7. Solve -2*r = r + g for r. -1 Let a(v) = v - 7. Let j be a(7). Solve j = w + 2*w + 6 for w. -2 Suppose 0 = 2*k - 5*g - 33, 2*k + 12 = g - 5*g. Solve -k = -5*a + 16 for a. 4 Suppose 3*h - 12 = -6*w + w, -h + 8 = 3*w. Let p be (-17)/(-5) - 2/5. Let x be 19/p + (-2)/6. Solve -w*a + 12 = -x*a for a. -4 Let x(i) = i**3 + 17*i**2 + i + 22. Let y be x(-17). Suppose 45 = y*f - 5. Solve 3*j + 2*j - f = 0 for j. 2 Let c be (90/12)/((-3)/(-4)). Solve -6*k + c = -k for k. 2 Suppose -15*b = -13*b. Let x(u) = -u**2 + 11*u - 3. Let v be x(10). Solve b = -i - 4 + v for i. 3 Suppose 9 = -t + 4*y - 3, -t - 2*y = -12. Suppose -4*f - 26 = 42. Let n = f - -24. Solve -t*m + 9 + n = 0 for m. 4 Suppose -3*v - 21 = -3*y, -v - 22 = -0*y - 4*y. Suppose 5*t - 539 = n, 0 = -y*n + 1 + 4. Suppose -4*q + 0*q = -t. Solve 5*s - q + 2 = 0 for s. 5 Let x(r) = -4*r. Let a be x(-1). Suppose -c - 6 + 4 = a*m, 0 = -4*c + 5*m + 34. Solve -n - 1 = -c for n. 5 Let k(w) be the second derivative of -1/12*w**4 + 0 + 7/2*w**2 + w + 2/3*w**3. Let x be k(5). Solve -x*u = 1 + 5 for u. -3 Let u(h) = h**2 - 1. Let a be u(-3). Solve -2*z = -0*z - a for z. 4 Let z(o) = -3*o**3 + 2*o + 1. Let g be z(-1). Suppose -g*m = -5*m + 6. Suppose -4*q - 4*h = 0, -10 = 2*h - m. Solve q*s = -s + 15 for s. 3 Let b be 2/3*6/4. Suppose -5 = -2*p + b. Suppose -p*i = -2*i - 9. Solve -4*w = -i*w for w. 0 Suppose l - 9 + 5 = 0. Solve l*b = 3*b - 2 for b. -2 Let x be 2/7 + (-444)/(-259). Solve 0 = b - x for b. 2 Let q(x) = -7*x**3 - x**2 + 2*x + 1. Let j be q(-1). Solve -4*z + j*z + 1 = 0 for z. -1 Let q = -17 - -17. Solve q = -0*w - w - 1 for w. -1 Suppose -4*i + 2*i = 0. Solve i = 3*k - 0*k - 15 for k. 5 Let j = -11 + 15. Suppose -5*d + 2*z = 3*z -
{ "pile_set_name": "DM Mathematics" }
0.2 What is the nearest to -2 in -1, 7, -24.3? -1 What is the closest to -0.48 in -3, 0.11, 5, 10, -2/11? -2/11 Which is the nearest to 0.1? (a) -2 (b) 583/4 (c) 4 a What is the nearest to 2/7 in -9, -14309, 2? 2 Which is the closest to 0.2? (a) -4/29 (b) -7/4 (c) 16 a Which is the closest to 2/7? (a) -7 (b) -5/13 (c) -0.1 (d) 2/9 d Which is the closest to -1/4? (a) -5 (b) 1/6 (c) -4/63 (d) 13 c Which is the closest to 12? (a) 47 (b) 0.5 (c) -3/7 b What is the nearest to -19 in -0.03, -5, 1, -2/9? -5 Which is the closest to -2/9? (a) 1/3 (b) -22 (c) -2 (d) -4 a What is the closest to -597 in 3, 0, -144, 4, -5? -144 What is the nearest to 21/2 in 0.5, 1/4, -7/5, 0.4? 0.5 What is the closest to 0.104 in -2/5, 5, 0.1, -0.1? 0.1 Which is the closest to 6? (a) 40/413 (b) -2/5 (c) 4/5 c Which is the nearest to 26? (a) -5 (b) 11 (c) 0.2 b Which is the nearest to 0? (a) 2/5 (b) -3.8 (c) 16 (d) 0.07 (e) 2/7 d What is the closest to -3/17 in -0.2, 425, 3, -1/6? -1/6 What is the nearest to 1 in 18, 0.4, -125/6, -4, -8? 0.4 What is the nearest to 57/8 in 7, 2, -3? 7 What is the nearest to 2 in -57, -4/5, 2/7, 7/6, -3/8? 7/6 Which is the closest to -1/3? (a) 6 (b) 0.1 (c) -10 (d) -2/27 d What is the nearest to 2/3 in 0.07, -2, -0.3, 52, -5? 0.07 Which is the nearest to -0.37? (a) 1/4 (b) 1 (c) -27205 a What is the nearest to -2479 in 0.3, -13, -0.1, 2? -13 What is the closest to -1 in -0.65, -71, 2, 0? -0.65 What is the nearest to -1 in -6, -3/41, 2.4? -3/41 Which is the closest to -4.1? (a) -63 (b) 4/5 (c) -2/19 c Which is the closest to -4? (a) -13829 (b) -0.1 (c) -2 c Which is the closest to -0.2? (a) 0.23 (b) 2/3 (c) -0.4 (d) 3 (e) 14 c What is the nearest to -1.17 in -1, -0.031, -1/3, -0.2? -1 Which is the nearest to 4? (a) -3 (b) 0.2 (c) 1 (d) 114 c What is the closest to -1 in -20529, -1, 0, -2/5? -1 Which is the nearest to 849? (a) 0 (b) -5 (c) 21.6 (d) -3 (e) 3/2 c Which is the closest to 26? (a) -0.1 (b) -4/7 (c) -47 a Which is the nearest to -0.001? (a) 4/3 (b) -0.31 (c) 2/15 (d) 3 c Which is the nearest to -2/3? (a) 5 (b) 0.989 (c) 0 c What is the closest to 2/7 in -2, -4, 205335? -2 What is the closest to 0.09 in -3/2, -2/17, 5, -65, 1? -2/17 What is the closest to 0.08 in -0.6, 10, 0.004, 0.2? 0.004 Which is the closest to 0.1? (a) 0.5 (b) 16/3 (c) 36 a What is the nearest to 692 in 3/4, 11, 1/3? 11 Which is the closest to 2/7? (a) 0.55 (b) 9 (c) 0.4 (d) -5/4 (e) 1 c Which is the closest to 27? (a) 7 (b) 2 (c) -10/3 (d) -2/7 (e) 17.6 e Which is the nearest to 0? (a) -5/2 (b) 1/4 (c) -6 (d) -2 b What is the closest to -1 in 48.3, -4, -3/4? -3/4 What is the nearest to 0.036202 in -1, 0.3, -2? 0.3 Which is the closest to 2/7? (a) -169 (b) 0 (c) 1 (d) -37 (e) -0.1 b What is the closest to -0.2 in 159, -68, 7? 7 What is the nearest to 2 in 0.11, 1/2, 12, -2/17? 1/2 What is the closest to 21 in 1/5, -2043, 0, -1/4? 1/5 Which is the nearest to 2/3? (a) -2/11 (b) -2 (c) 5 (d) 1/438 (e) 2 d Which is the nearest to -1/10? (a) -0.2 (b) 87 (c) 2/5 a Which is the closest to 3? (a) -312 (b) -1/2 (c) -2/3 (d) -4 b What is the nearest to -1 in 0.131, -2/21, 0.4? -2/21 What is the closest to 3 in -1/2, -2, -4, 1? 1 Which is the nearest to -2.2? (a) -180 (b) 0.4 (c) -1.76 c Which is the nearest to -793? (a) -0.3 (b) 0.4 (c) 4 (d) 14 a What is the nearest to 0 in 2/3, -3, -36529, 2/7? 2/7 Which is the closest to 0? (a) 1 (b) 2/7 (c) 9 (d) -1.5 b Which is the nearest to 1? (a) -4 (b) -11.2 (c) -0.3 (d) -0.7 c Which is the nearest to -0.1? (a) -1/2 (b) 0.51 (c) -1/3 c Which is the closest to 0? (a) -8631 (b) 0.5 (c) -2/3 b What is the nearest to 1 in -4, 2, -60, 14? 2 What is the nearest to 2 in -9, 0.04, -11, 3? 3 What is the nearest to -9 in 2/11, -3, -4, -5? -5 What is the closest to -0.2 in 0.017, 18539, -3? 0.017 What is the closest to -2/5 in 1.6, -2/13, -3, -0.1? -2/13 What is the closest to 1/984 in 3/7, -3/11, -5/2, -1? -3/11 Which is the closest to 1/4? (a) -1/2 (b) -23 (c) 2/3 (d) 4 c What is the nearest to -1.3 in -0.2, 0.005, -2/15, -11, -8/11? -8/11 Which is the closest to 40? (a) 12 (b) 5 (c) 4 (d) -0.2 (e) -2 a What is the closest to -2/5 in 0.09, -141/2, 1? 0.09 Which is the closest to -3? (a) 15/8 (b) -19 (c) 0 c Which is the closest to -0.1? (a) -819/172 (b) -2/9 (c) 1/9 b What is the nearest to -0.2 in -2, -4, 257? -2 Which is the closest to 1? (a) 0.03 (b) 4 (c) 22/47 (d) 3 c Which is the nearest to -0.1? (a) -3 (b) -0.2 (c) -1/4 (d) -1/78 (e) -4407 d What is the closest to 0.2 in -0.508, -0.4, -0.5, 3? -0.4 Which is the closest to 1589? (a) 0.5 (b) 8/9 (c) 1/5 b Which is the nearest to 0? (a) -0.3 (b) -162 (c) -3.5 a What is the closest to -1 in -1/3, -1, -0.5, 0.107? -1 What is the nearest to 1/106 in 1.9, 0.2, -3/2? 0.2 Which is the closest to -2/7? (a) -2/9 (b) -0.4 (c) -2/223079 a Which is the closest to 0.4? (a) 1079 (b) 4/5 (c) 1 (d) 4 b What is the nearest to -19/5 in 9, 2/9, 5, 2/17? 2/17 What is the closest to -10 in 19, -11, -2/5? -11 What is the nearest to 0.04 in 5, 0.02, -1/5, -0.19, -1? 0.02 What is the nearest to 0.1 in 20, 3, -1/15, 1? -1/15 What is the closest to 15 in -3/2, -1/18, 22? 22 What is the nearest to -3 in -1/5, -13, 4, 2, -3? -3 What is the nearest to -1/2 in -1, -2876, -15, 1/4? -1 What is the closest to -1 in -2/3, 7, -0.4, 1409? -2/3 What is the closest to -0.1 in -1/16, 1/93, -1/3? -1/16 What is the nearest to -2 in -0.5, 1/6, 0.2, -1, 1? -1 Which is the closest to -0.2? (a) 820/7 (b) 22 (c) -0.5 c Which is the nearest to 8? (a) 2 (b) 0 (c) -40 (d) 2/11 (e) 4 e Which is the nearest to 1? (a) -5/2 (b) 0.1 (c) -3/2789 (d) 1 d What is the closest to -0.19 in 2/3, -245/8, -2/15? -2/15 Which is the closest to 1? (a) 10/3 (b) 49313 (c) 0.5 c Which is the closest to -12/305? (a) -5/3 (b) -48 (c) 5/6 c Which is the closest to 0? (a) 123/5 (b) -0.5 (c) 12 (d) -2 b What is the nearest to 4 in -0.083, -6, -2, -1? -0.083 What is the nearest to 21 in 5, -2, -2/201, -19? 5 What is the closest to 0 in 2, -10, 2/9, -0.12, -0.4? -0.12 What is the nearest to -0.9 in -2, 0, -3, -463/4? 0 Which is the closest to 0.07? (a) -2 (b) 84 (c) 3 (d) -9/5 (e) 0.3 e What is the nearest to -1/11 in -4/5, -127, 1/2, -183? 1/2 What is the closest to 5 in 0.5, -1/4, 183, -16/5? 0.5 What is the nearest to 0 in -1/7, -1/4, -25.851? -1/7 Which is the nearest to -10? (a) -3 (b) 497 (c) -5 c What is the closest to -41/8 in -4, 7, 3, 0.1? -4 What is the nearest to 1/2 in -1/7, 1149, -3, -2.32? -1/7 What is the closest to -10 in 15, 1, -5, -16? -5 What is the nearest to 48/5 in -137, -1, 3/4, -5, -4/3? 3/4 What is the closest to -1/3 in 2/23, -441, 3, -0.53? -0.53 Which is the nearest to -1? (a) 11 (b) -0.3 (c) -3/17 (d) -0.1 (e) 1/8 b What is the nearest to -3/26 in -0.2, -2/7, -0.1, -0.4? -0.1 What is the closest to -13.2 in -4, 1/6, -0.4, 2/3? -4 What is the closest to 2/13 in 0.4, -1, 1.479, -5? 0.4 What is the nearest to -2 in 4, -988, 2/19? 2/19 What is the nearest to 0 in 0.3, -4, -55, -1/6, -2/11? -1/6 What is the closest to 0.0486 in -2, -1, -5? -1 What is the nearest to 7759 in 0.1, -2, 1/5? 1/5 What is the closest to -42 in 5, -0.4, 24, -4, -1? -4 Which is the closest to 3? (a) 712 (b) -2/9 (c) -3/2 (d) -0.07 (e) 4 e What is the closest to -2/13 in -5, -2, -390? -2 Which is the closest to 2/5? (a) -2/3 (b) -3/5 (c) -162 (d) -31 b Which is the nearest to 38? (a) -0.21 (b) 3/4 (c) 389/3 b What is the closest to 636 in 10, 9, -4, 0.1? 10 Which is the nearest to 0.2? (a) 87/4 (b) -9/7 (c) 27 b What is the nearest to -3/5 in -0.4, -1/12, -10, -7, 4? -0.4 Which is the nearest to 7? (a) -9 (b) -2/3 (c) 2/35 c Which is the nearest to 0? (a) 0.137 (b) 2/95 (c) 4 b Which is the nearest to 0.5? (a) 9 (b) 3 (c) 1/5 (d) 1 (e) 0.32 e Which is the closest to -10? (a) 5 (b) 14 (c) 2 (d) -1/3 d Which is the closest to 0? (a) -294 (b) -1/84 (c) 0.4 b What is the nearest to 517 in -2, -0.4, 0.4, 1/20? 0.4 Which is the closest to -1? (a) 2.1 (b) 0.3 (c) 73 (d) -1/6 d What is the closest to 0 in -1, -0.0236, -31? -0.0236 What
{ "pile_set_name": "DM Mathematics" }
-490. Let h = -109 + n. What are the prime factors of h? 2, 17 Let t be (-87)/(-24) - 6/(-16). Suppose t*c + 189 = n, 66 = n + 2*c - 135. List the prime factors of n. 197 What are the prime factors of ((-6678)/147)/(((-5)/42)/5)? 2, 3, 53 Suppose 28 = -2*v - 4*g + 138, 2*g + 80 = 2*v. Let z be (4/2)/(18/v). Suppose 8 = z*w - 22. List the prime factors of w. 2, 3 Let g = 1153 - 808. Suppose 10*x - 7*x = g. List the prime factors of x. 5, 23 Let o(k) = k**2 + 8*k + 9. Let y be o(-7). Suppose -9 + 5 = -y*w. List the prime factors of (4 + -58)/(-1) - w. 2, 13 Suppose -5 = -0*j + 2*j - 3*d, 0 = 3*j - 3*d. Let c = j - -8. Suppose 4*v - c = 7. What are the prime factors of v? 5 Let g(r) = 2*r + 2. Suppose 0 = -z - 3*z + 2*k + 6, 3*k - 1 = z. Suppose x = z*j + 3*x, x = 0. What are the prime factors of g(j)? 2 Let m(x) = -x**3 + 7*x**2 - 3*x + 9. Let w be m(7). What are the prime factors of 15*(4/w - -2)? 5 Let l = 57 + -81. Let a = l - -18. List the prime factors of (a/(-4) + -2)*-86. 43 Let h be (-2)/9 - 13832/(-117). What are the prime factors of 3/5*(-3 + h)? 3, 23 Let h(o) = -o**2 + 8*o + 1. Let p be h(8). Suppose 0*z + 4*z = -2*f + 10, z - 3*f = -p. Suppose -18 = g - z*g. What are the prime factors of g? 2, 3 Suppose g = 4*g. Let d be -3 + (-1 - (-4 - g)). What are the prime factors of (-60)/(-50)*(d - -20)? 2, 3 Let i = 14 + -11. Let l = i + 1. Suppose -l*p + 52 = -32. What are the prime factors of p? 3, 7 Suppose i - 2 = a - 54, -4*a - 4*i = -176. Suppose 232 - 66 = -3*x - 2*o, -x + 3*o = a. List the prime factors of x/(-21)*(-42)/(-9). 2, 3 Suppose 3*r = o - 15, r + 2*o + 3*o + 5 = 0. Suppose -n - 30 = -2*n. Let y = r + n. List the prime factors of y. 5 Let b = -105 - -103. What are the prime factors of 9405/63 - b/(-7)? 149 Suppose 3279 = 2*x - 9*z + 4*z, -2*z = 4*x - 6522. What are the prime factors of x? 2, 3, 17 Let n(w) = -141*w - 39. What are the prime factors of n(-4)? 3, 5, 7 Suppose -12*i = -406 - 470. List the prime factors of i. 73 Let c be (-26)/(-5) - 1/5. What are the prime factors of -24*3/((-45)/c)? 2 Let h = 171 + 175. List the prime factors of h. 2, 173 Let d = 169 - 11. List the prime factors of d. 2, 79 Let r = -83 - -132. What are the prime factors of r? 7 Suppose -5947 = 12*c - 23227. List the prime factors of c. 2, 3, 5 What are the prime factors of 15361/5 - ((-65)/5)/(-65)? 2, 3 Let s(q) = 2*q**2 + 9*q + 9. Let j(w) = -w**2 - 5*w - 5. Let k(g) = -7*j(g) - 3*s(g). What are the prime factors of k(4)? 2, 7 Suppose 8*y - 3*h + 11708 = 12*y, 4*y = 4*h + 11736. What are the prime factors of y? 2, 5, 293 Suppose 18 = 4*n - q - 1, -4*q = n + 8. Suppose -n = -2*p - 3*k + 1, 4*k = -5*p + 2. Let x(b) = 4*b**2 + 2*b + 3. List the prime factors of x(p). 3, 5 Suppose 0 = -5*z + 2*z + 3. Let d be z/(2 + 258/(-130)). Let r = d - 41. What are the prime factors of r? 2, 3 Let y = -21 + 21. Suppose 4*l + 4*u = -l - 2493, -l + 3*u - 491 = y. What are the prime factors of 32/(-176) + l/(-11)? 3, 5 Let b = 1017 + -561. What are the prime factors of b? 2, 3, 19 Let s be (-2 - -3) + 2 + 1. Suppose 5*v + 5*j = 303 - 83, -s*j = 2*v - 88. List the prime factors of v. 2, 11 Let x(d) = -6*d**2 + 117*d + 7. What are the prime factors of x(14)? 7, 67 Suppose 0 = -2*h - g + 3, h + 0*g = g. Suppose 2*a = -5*o + 17 + 18, 0 = -5*o + 5. Let l = a + h. List the prime factors of l. 2 Suppose -n + 4*h + 5 = 3*h, -h = 0. Suppose -a + n*w + 26 = 0, -62 = -3*a - 4*w + 35. List the prime factors of a. 31 Suppose 72*f - 78*f = -19968. List the prime factors of f. 2, 13 Suppose 48 = 2*n - 28. Let f be (1 - (n - 4)) + -1. Let m = -22 - f. List the prime factors of m. 2, 3 Let r = 2563 + -181. What are the prime factors of r? 2, 3, 397 Let v be 29/3 + 8/(-12). Let t(j) = -3 + 6 - j**2 + 10*j - 1. What are the prime factors of t(v)? 11 Let a = -13 + 16. Suppose -287 = -4*f - a*f. List the prime factors of f. 41 Suppose 426*s - 429*s + 3030 = 0. What are the prime factors of s? 2, 5, 101 What are the prime factors of (11/(33/(-6174)))/(-4 - -2)? 3, 7 Let u(f) = -f + 7. Let p = -18 + 21. Let l be u(p). Suppose l*q + 0*q - 128 = 0. List the prime factors of q. 2 Suppose -3*h = 3*a + 3, 0*a - 2*a = 2. Let u be (h + -2)*(2 + -15). Let r = 74 - u. List the prime factors of r. 2, 3 Let j = 45 - 74. Let f = 56 + j. Let d = f - 18. What are the prime factors of d? 3 List the prime factors of (-357)/(-11) + 48/88. 3, 11 Suppose -o + 6*o + 25 = 0, 0 = -2*t + 3*o + 127. Let l = t - 24. List the prime factors of l. 2 Suppose 0 = 1021*j - 1019*j - 482. What are the prime factors of j? 241 What are the prime factors of (-8)/60 + 304/30? 2, 5 List the prime factors of 5/(-3)*((-64255)/25 - 23). 2, 2161 Let t = -80 + 80. Suppose t*w - w + 80 = 0. List the prime factors of w. 2, 5 Suppose -r + 181 = -12*v + 9*v, 0 = 2*r + 5*v - 373. What are the prime factors of r? 2, 23 Let n(x) = -171*x + 70. What are the prime factors of n(-6)? 2, 137 Let h(w) be the third derivative of w**9/15120 - w**8/10080 + w**5/15 + 6*w**2. Let u(q) be the third derivative of h(q). What are the prime factors of u(2)? 2, 3 Suppose 4*k = i - 701 + 8676, i - 5990 = -3*k. Suppose -k = -25*l + 10*l. List the prime factors of l. 7, 19 Let a(k) = -9*k**3 - 2*k + 1. Let o be a(1). Let u be 4/o + 22/5. Suppose u*n - 24 = 2*n. What are the prime factors of n? 2, 3 Let i(c) = -c**3 + 2*c + 1. Let r be i(2). Let q = r + 9. Suppose w = q*w - 95. List the prime factors of w. 19 Suppose u + 5 = 3*y - 3, 4*u - 12 = y. Suppose u*b + b = 5, 5*b = 3*r - 205. Suppose 2*j - 44 - r = 0. What are the prime factors of j? 3, 19 Let n(o) = o**3 - 9*o**2 - 8*o - 12. Let r be n(10). Let t = r - 8. Suppose -93 = -t*v - 3*v. What are the prime factors of v? 31 Suppose 4*i + 4*p = 1248, i - 22 - 278 = 3*p. What are the prime factors of i? 3, 103 Let j(h) = h**3 + 11*h**2 + 2*h + 14. Let o be j(-11). Let z(t) = -6*t - 15. Let r be z(o). Suppose 5*a = 57 + r. What are the prime factors of a? 2, 3 Suppose 0 = -9*h + 2 - 2. Suppose -z - 4*x = -189, 4*x = -h*z + 3*z - 519. What are the prime factors of z? 3, 59 List the prime factors of -8*(-2 - -1) + 589. 3, 199 Suppose 0 = 43*m - 64*m + 16926. What are the prime factors of m? 2, 13, 31 Let k = 34 + -19. Suppose p - 23 + k = 0. List the prime factors of p. 2 Suppose 2*m = 5*o - 7, -3*o - 7 = -0*o - 4*m. What are the prime factors of 2 + 546/o - (-10 - -12)? 2, 7, 13 Let c(u) = u**3 + 11*u**2 - 6*u - 9. Let b be c(-12). Let r = b + 219. What are the prime factors of r? 2, 3, 23 Let h = 10 - 9. Let y be h/(108/52 + -2). Suppose a - y = -4*g + 24, 2*a = -2*g + 20. What are the prime factors of g? 3 Suppose -t + 1 = -3*n + 3*t, 5*n = 5*t + 5. Suppose -5*q + 215 = -5*d, 0 = -0*q + n*q + 2*d - 215. Suppose 0 = -2*y + 3*y - q. List the prime factors of y. 43 Let i = -80 + 84. Suppose -5*p - 107 = -i*n, 3*n - 31 = 4*p + 49. List the prime factors of n. 2, 7 Suppose 2*m = 6 - 2. Suppose 4*p - m*s = 145 + 89, -4*s + 170 = 3*p. Let v = -35 + p. List the prime factors of v. 23 Let q be (44/10)/((-1)/5). What are the prime factors of (-6)/(-33) - 1800/q? 2, 41 Let r(t) be the first derivative of 13*t**4/2 + 2*t**3/3 - t**2/2 + 23. List the prime factors of r(2). 2, 107 Suppose 0 = 4*w + 2*w - 12. Let p(n) = 10*n**3 - 3*n**2 + 4*n - 1. What are the prime factors of p(w)? 3, 5 Let x be 85/(-15) + 1/(-3). Let g = x - -12. Suppose 0 = y - 7 - g. List the prime factors of y. 13 Let c = -4 + 9. Suppose 2*s + s = -2*r + 192, -c*r - 5*s + 470 = 0. List the prime factors of r. 2, 3, 5 Suppose -f + 340 = 4*k - 230, 5*k = 3*f + 704. List the prime factors of k. 2, 71 Let o = -83 + 85. Let u(q) = q**2 - 2*q + 1. Let x be u(2). What are the prime factors of 48/2 - (o + x)? 3, 7 Let p(a) = a**2 + 8*a + 5. Let x be p(-8). Let h(b) = 0*b - 6*b - x*b + 10*b + 57. List the prime factors of h(0). 3, 19 List the prime factors of 0/3 - 14*(-753)/6. 7, 251 Suppose -15*p + 5*p = -970. Let j = p - -162. What are the prime factors of j? 7, 37 Let b = -1748 - -2855. List the prime factors of b. 3, 41 Suppose 0 = 2*i - 2*p - 4, 0*i + 2*i + 2*p = 16. Suppose -72 = 2*j + k - 305, i*k + 330 = 3*j. Suppose 6*q - 11*q + j = 0. List the prime factors of q. 23 Let h = -259 - -139. Let d = h + 173. What are the prime factors of d? 53
{ "pile_set_name": "DM Mathematics" }
**3 Suppose -n - 2*i + 3 = 0, 6*n - 5*i = 2*n - 14. Let s be n*(0 + (-6)/2). Find the third derivative of -j**4 - 7*j**3 + 7*j**s + 2*j**2 wrt j. -24*j Let o(x) = 15*x**3 + 4*x - 17. Let q(w) = 16*w**3 + 6*w - 16. Let h(s) = 3*o(s) - 2*q(s). Differentiate h(l) with respect to l. 39*l**2 Let r(h) = h**2 + h - 1. Let z(x) = 11*x**2 + 5*x - 3. Let l(w) = -3*r(w) + z(w). What is the second derivative of l(v) wrt v? 16 Differentiate -3 + 15*a - a - 25 with respect to a. 14 Let b(h) be the third derivative of h**7/84 - 7*h**4/24 - 3*h**3/2 + 4*h**2. Let s(n) be the first derivative of b(n). Differentiate s(f) wrt f. 30*f**2 Let g(o) = 21*o**4 - 2*o**3 - 17*o**2 - 2. Let y(f) = 988*f**4 - 95*f**3 - 798*f**2 - 95. Let r(d) = -95*g(d) + 2*y(d). Find the third derivative of r(h) wrt h. -456*h Let v(l) be the second derivative of 0*l**2 - 1/10*l**6 - 2*l - 1/3*l**4 + 0 + 0*l**3 + 0*l**5. What is the third derivative of v(x) wrt x? -72*x Let i(h) = -10*h**2 - 3*h + 2. Let r(c) = 10*c**2 + 4*c - 3. Let q(z) = -3*i(z) - 2*r(z). Find the second derivative of q(f) wrt f. 20 Let z(s) be the first derivative of s**5/10 + s**3/2 + s + 3. Let g(q) be the first derivative of z(q). Find the second derivative of g(y) wrt y. 12*y Let j(p) be the first derivative of p**7/42 + p**4/4 - 7*p**2/2 + 3. Let k(b) be the second derivative of j(b). What is the second derivative of k(g) wrt g? 60*g**2 Let o(i) = i**3 + i**2. Let c(h) = h**3 + 4*h**2 + 1. Let r be (-30)/9*(-6)/5. Let a(n) = r*o(n) - c(n). What is the derivative of a(k) wrt k? 9*k**2 Let m(b) = b**2. Let j be m(-1). Find the second derivative of -2*q - 1 + q - 4*q**3 + j wrt q. -24*q Let t be 2/6 - 50/(-30). What is the second derivative of 2*p**t - 3*p - 4*p**2 + p**2 + 2*p wrt p? -2 Let u(o) be the second derivative of o**6/10 + 13*o**2/2 - 7*o. What is the derivative of u(y) wrt y? 12*y**3 Let x(l) be the first derivative of -13*l**5/5 - 16*l**3/3 - 9. What is the third derivative of x(a) wrt a? -312*a Let z(g) be the second derivative of 7*g**5/10 - g**3 - 4*g. What is the second derivative of z(d) wrt d? 84*d Let u(w) = -w + 3. Let c be u(0). Differentiate -2*b + 2*b - b**c + 6*b**3 + 2 with respect to b. 15*b**2 Let r(p) = -12*p**2 + 3*p. Let u(f) = -11*f**2 + 2*f. Let i(j) = 6*r(j) - 5*u(j). Find the second derivative of i(h) wrt h. -34 Let v(z) be the second derivative of z**5/4 + 5*z**3/3 - 4*z. What is the second derivative of v(t) wrt t? 30*t Let l(z) be the second derivative of z**8/168 + z**4/8 + z**2/2 - 4*z. Let g(m) be the first derivative of l(m). What is the second derivative of g(y) wrt y? 40*y**3 Suppose 0 = -q - 1 + 3. What is the second derivative of 3*t + 246*t**2 - 246*t**q + t**4 - t wrt t? 12*t**2 Let q(s) = s - 6. Let d be q(8). Suppose -d = -k + 2. What is the second derivative of 5*i - k*i + 2*i**3 + i**3 wrt i? 18*i Let z(m) be the second derivative of -5*m**7/42 - m**3/2 - 2*m. Find the second derivative of z(k) wrt k. -100*k**3 Find the first derivative of -6 - 1 - 16 - 13*f wrt f. -13 Suppose -3*u + u + 4*m = -12, -4*m = u. What is the third derivative of u*f**2 - 2*f**2 + f**5 - f**2 - 2*f**5 wrt f? -60*f**2 Suppose -5*i + 5*r - 3 = 2, -2*i - 4*r + 28 = 0. Let v = -4 + 6. What is the derivative of -1 + 2 - k**2 + i*k**v wrt k? 6*k Let o(g) = -g**2 + 6*g + 10. Let b be o(7). Let s(x) be the third derivative of 0 + 0*x - 1/24*x**4 + 1/6*x**b - x**2. What is the derivative of s(i) wrt i? -1 Let g(s) = -2*s + 6. Let k(m) = 1. Let b(u) = g(u) - 3*k(u). Let z(n) = n**3 - 3*n + 4. Let a(i) = 4*b(i) - 3*z(i). Find the second derivative of a(q) wrt q. -18*q Let h(a) = -2*a**2 - a + 5. Let q(i) = -2*i**2 + 4. Let j = 22 - 18. Let m(l) = j*h(l) - 5*q(l). What is the second derivative of m(d) wrt d? 4 Let j(f) be the third derivative of 11*f**6/30 + f**5/20 + f**3 - f**2 - 2. Find the third derivative of j(h) wrt h. 264 Find the third derivative of -27*j**5 + 14*j**5 - 7*j**2 - 25*j**5 wrt j. -2280*j**2 Let y(j) = -25*j**4 - 6*j**3 - 3*j - 6. Let g(l) = l**4 + l**3 + 1. Let p(i) = 6*g(i) + y(i). Find the second derivative of p(z) wrt z. -228*z**2 Let o(a) = 0*a - 4*a + 5*a**3 + 2*a**2 + 4*a**2 + 3*a**3. Let f(v) = v. Let n(d) = -4*f(d) - o(d). What is the third derivative of n(w) wrt w? -48 Let o(a) be the second derivative of -13*a**5/10 + 23*a**3/6 + 26*a. Find the second derivative of o(h) wrt h. -156*h Let g(q) be the second derivative of -5*q**4/12 + 7*q**2/2 + q. What is the first derivative of g(h) wrt h? -10*h Let o(c) be the third derivative of 13*c**5/60 + 5*c**4/12 + 12*c**2. What is the second derivative of o(s) wrt s? 26 Let k(r) be the third derivative of -r**7/35 - r**5/6 - 7*r**2. What is the third derivative of k(h) wrt h? -144*h Let y(w) = 2*w + 2*w**3 + 6*w**2 + 0 + 1 - 3 - 2*w**5. Let c(b) = b**3 + b**2 + b - 1. Let v(n) = 4*c(n) - 2*y(n). What is the third derivative of v(d) wrt d? 240*d**2 Let b(v) be the second derivative of 11*v**5/20 - 7*v**3/6 + v. What is the second derivative of b(a) wrt a? 66*a What is the first derivative of 7 + 11*m**4 + 12 - 9 + 3*m**4 wrt m? 56*m**3 What is the derivative of 0*i - 6 + 0*i + 3*i + 5*i wrt i? 8 Let g(r) be the second derivative of 25*r**4/12 + 5*r**3 + 7*r. Find the second derivative of g(n) wrt n. 50 What is the third derivative of -171*x**3 + 33*x**4 + 171*x**3 + 14*x**2 wrt x? 792*x Let g(b) = -9*b**2 + 2*b + 1. Let h = -22 - -19. Let r(d) = 9*d**2 - 3*d. Let q(c) = h*g(c) - 2*r(c). Find the first derivative of q(m) wrt m. 18*m What is the third derivative of -2686 + 8*r**3 + 2686 + 27*r**2 wrt r? 48 Let z(n) be the first derivative of 4*n**6/3 - 2*n**2 - 4. Find the second derivative of z(s) wrt s. 160*s**3 Let x(h) = -8*h**3 - 3*h**2 - 5*h + 5. Let r(l) = -7*l**3 - 3*l**2 - 6*l + 6. Let n(t) = 5*r(t) - 6*x(t). What is the third derivative of n(y) wrt y? 78 Let z(d) = 35*d**3 - 7*d + 133. Let r(o) = 17*o**3 - 4*o + 67. Let k(v) = 7*r(v) - 4*z(v). Differentiate k(a) wrt a. -63*a**2 Let r(p) be the first derivative of 0*p**2 - 2 - p - 4/3*p**3. What is the first derivative of r(k) wrt k? -8*k Let m(o) = -6*o**3 + 4*o**2 + 4*o - 7. Let h(d) = 12*d**3 - 9*d**2 - 9*d + 14. Let w(g) = -4*h(g) - 9*m(g). Find the first derivative of w(p) wrt p. 18*p**2 Find the first derivative of l + 2*l - 2*l + 24 wrt l. 1 Let f = 6 - 4. Find the first derivative of 7*i + f + 3*i**3 - 7*i wrt i. 9*i**2 Differentiate -35*x**2 - 2*x**2 + x**2 + 37 - 2*x**2 with respect to x. -76*x Let u(g) = -21*g**3 + 41*g**2 + g - 1. Let m(q) = -q + 1. Let z(r) = m(r) + u(r). What is the third derivative of z(b) wrt b? -126 Let z(t) be the second derivative of -t**6/120 - t**4/24 + t**3/2 + 3*t. Let k(q) be the second derivative of z(q). What is the first derivative of k(h) wrt h? -6*h Let x(f) be the first derivative of 0*f**2 + 0*f**4 + 0*f - f**3 + 3/5*f**5 + 1. What is the third derivative of x(z) wrt z? 72*z Differentiate 18*l**4 - 6*l**2 + 3*l**2 + 32 + 3*l**2 wrt l. 72*l**3 Let i(x) = x**3 - x**2 + x - 1. Let c(f) = f**2 - f. Suppose 15 = 5*j + 5. Suppose -4*n - 1 + 9 = 0. Let s(a) = j*i(a) + n*c(a). Differentiate s(p) wrt p. 6*p**2 Suppose 3*w = -2*n - 3*n + 44, -n + 4*w = 5. Let a be (2 - 1)*2 - 0. What is the third derivative of 3*v**4 + 5*v**2 - n*v**2 + 5*v**a wrt v? 72*v Let j(i) = i - 3. Let z be j(5). What is the third derivative of -2*l**6 - 4*l**z - l**2 + 3*l**2 + 3*l**6 wrt l? 120*l**3 Let r(w) be the third derivative of 1/30*w**6 - 1/6*w**4 + 0*w**3 + 0*w**5 + 0 + 2*w**2 + 0*w. What is the second derivative of r(o) wrt o? 24*o Let m(s) = 10*s**3 + 3*s**2. Let j(y) = -y**3 - y**2. Let z(r) = -j(r) + m(r). Find the third derivative of z(b) wrt b. 66 Let p(t) be the second derivative of -t**4/3 + 3*t**2 + 3*t. Differentiate p(x) with respect to x. -8*x Let s(j) = -j**3 + 2*j**2 - 2*j + 3. Suppose -2 = -2*f + 12. Let o(m) = 4*m**3 - 7*m**2 + 7*m - 9. Let g(d) = f*s(d) + 2*o(d). Differentiate g(i) wrt i. 3*i**2 Let m = 11 + -7. Suppose -r + 2*r - 3 = m*i, 3 = r + i. Find the second derivative of 2*d + 0*d**3 - r*d**3 + d**3 wrt d. -12*d Let g(f) = -f**3 - 5*f**2 + 4*f - 8. Suppose -1 = 4*z + 23. Let r be g(z). Find the third derivative of 0*w**4 + 0*w**2 + w**r - w**2 wrt w. 24*w Let n(u) be the first derivative of -13*u**4/4 - 16*u**3/3 - 6.
{ "pile_set_name": "DM Mathematics" }
) + sqrt(34))/(sqrt(2) + sqrt(288)*-2) + -2)**2. -168*sqrt(17)/23 + 15961/529 Simplify 5 + ((sqrt(1900) + sqrt(1900) + 0 + sqrt(1900))**2*-3 - (sqrt(1900) - (sqrt(1900) - (1 + 3 + sqrt(1900))))). -51299 - 10*sqrt(19) Simplify 1 + (sqrt(2448) - (sqrt(2448) - ((4*sqrt(2448) - sqrt(2448) - sqrt(2448)) + sqrt(2448))**2 - sqrt(2448))*-1)*4 + -3. -88130 + 48*sqrt(17) Simplify ((2*(2*sqrt(105) - sqrt(105)))/sqrt(3))/(sqrt(21)/(sqrt(6)/sqrt(2)) + sqrt(7) + -3*(sqrt(7) + sqrt(63))). -sqrt(5)/5 Simplify (1*(sqrt(432) - sqrt(432)*-1)/sqrt(4) + -3)**2. -72*sqrt(3) + 441 Simplify 3*((5 + (sqrt(1900)*2 - sqrt(1900)))**2 + sqrt(1900) - (-2 + sqrt(1900) + -3)). 300*sqrt(19) + 5790 Simplify (sqrt(100) + -1*sqrt(100) + sqrt(100) + sqrt(100))/sqrt(2) + -2 + ((1*sqrt(162) + -5)*-2)**2. -350*sqrt(2) + 746 Simplify ((2*(-1*sqrt(171) - sqrt(171))*-3)/(sqrt(18)/sqrt(8) - (sqrt(9) - sqrt(81)/sqrt(81))))**2. 98496 Simplify (sqrt(108)*1 + (sqrt(12) - sqrt(84)/(sqrt(7)*1)))/(sqrt(64)/sqrt(16)). 3*sqrt(3) Simplify (sqrt(684) + (sqrt(684) - (3 + 2*sqrt(684) + sqrt(684))))**2 + 0 + (6*(0 + sqrt(684)) - sqrt(684)) + 0. 66*sqrt(19) + 693 Simplify (6*sqrt(500)*-3 - 1*(3 + sqrt(500)))*-6. 18 + 1140*sqrt(5) Simplify ((sqrt(17) + (-2*sqrt(17) + sqrt(17) - sqrt(17)) + 0)*-6 + -2)*-3. -18*sqrt(17) + 6 Simplify (4 + (-3 + sqrt(720))*4 + -3)**2*4. -4224*sqrt(5) + 46564 Simplify -3*(((3 + sqrt(176) + 0 + sqrt(176) - (sqrt(176)*-1 + 4 + sqrt(176))) + 2)**2 + -5). -2100 - 48*sqrt(11) Simplify ((sqrt(550)*-2 + sqrt(550))/sqrt(10) - ((sqrt(7920)*1 - sqrt(7920)) + sqrt(55)))/(sqrt(55)/sqrt(5)*6 + sqrt(11) - (sqrt(66)/sqrt(54) + sqrt(11))). -6*sqrt(5)/17 Simplify (sqrt(51)*-3*4)/(-6*sqrt(18)/sqrt(6) - sqrt(3)). 12*sqrt(17)/7 Simplify 4 + ((-2 + sqrt(1100) + (sqrt(1100)*-4 - sqrt(1100)) + sqrt(1100))**2 - sqrt(121)/(-6*sqrt(22)/sqrt(2))). 721*sqrt(11)/6 + 9908 Simplify 3*(2*(sqrt(80) + -1*sqrt(80)) + -5). -15 Simplify (-1*(sqrt(133) + ((sqrt(133) - 1*sqrt(133)) + sqrt(133) - sqrt(133))*3))/(sqrt(56)/(sqrt(8)*1) - sqrt(14)/sqrt(32)). -4*sqrt(19)/3 Simplify (sqrt(272) + 0 + sqrt(17))**2*-2 - ((-6*(sqrt(204) - (sqrt(204)*-1 + sqrt(204))))/sqrt(12))**2. -1462 Simplify -5*(-1 + (1*-3*sqrt(468) - (3 + -1 + sqrt(468)))). 15 + 120*sqrt(13) Simplify (sqrt(450))**2 + -3 - ((sqrt(8)/sqrt(4) + -3)**2 + -4). 6*sqrt(2) + 440 Simplify -5 + sqrt(1872) + 1 + (sqrt(1300) - (-5 + (sqrt(1300) + -3)**2 + sqrt(1300))). -1308 + 72*sqrt(13) Simplify ((sqrt(117) + sqrt(13) + sqrt(13) + -3 - sqrt(130)/sqrt(1210)) + -4)*-5. -270*sqrt(13)/11 + 35 Simplify 6*(-4 + 0 + sqrt(396) + -1)**2 + 2. -360*sqrt(11) + 2528 Simplify (3*sqrt(133)*4)/sqrt(700). 6*sqrt(19)/5 Simplify -5 + ((sqrt(1300))**2*1 - (sqrt(208) + 1)). -4*sqrt(13) + 1294 Simplify (sqrt(12) + 0 - sqrt(12)*-3) + 3 + 1. 4 + 8*sqrt(3) Simplify -2*(sqrt(19) - -3*sqrt(19))*-2 - (sqrt(190)*1*2 - sqrt(190))/sqrt(10). 15*sqrt(19) Simplify ((sqrt(132) + (sqrt(132) - 1*(sqrt(132)*-2 - sqrt(132))) + sqrt(132))*4)/((sqrt(252)/(sqrt(112) + sqrt(7)))/sqrt(3)). 120*sqrt(11) Simplify sqrt(21)/(sqrt(7) + (1*sqrt(42))/sqrt(6)) + -3 + sqrt(18)/(sqrt(6)*1) + sqrt(3) + (-2 + sqrt(3))**2*-6. -45 + 53*sqrt(3)/2 Simplify (sqrt(3)*-1*-3)**2 + sqrt(3) + sqrt(675) - (sqrt(21)*2*-6)/sqrt(7). 27 + 28*sqrt(3) Simplify 3*(5*(1 + sqrt(20)/sqrt(4)) + sqrt(5) + (sqrt(320) + sqrt(320)*-2)**2 + -5 + sqrt(15)/sqrt(3)). 21*sqrt(5) + 960 Simplify 3 + sqrt(3) + -1 + (sqrt(3) - sqrt(96)/sqrt(2)) + -4 + 4 + sqrt(300)*-2*-2. 2 + 38*sqrt(3) Simplify (-1*(-2*sqrt(228) - sqrt(228)) - 3*(sqrt(228)*-1 - sqrt(228)))/(-4*sqrt(36)/sqrt(3)*-4). 9*sqrt(19)/16 Simplify ((sqrt(72) + sqrt(72)*2 + sqrt(72))/sqrt(6) + sqrt(12))/(sqrt(6) - (sqrt(6) + sqrt(12)/sqrt(2)*-4)). 5*sqrt(2)/4 Simplify (5*(sqrt(132) - 6*3*sqrt(132))/(sqrt(588) - (sqrt(588) - (sqrt(588) - -3*sqrt(588))))*-5)**2. 1986875/784 Simplify -5*(sqrt(2) + 1*sqrt(98)) + sqrt(10)/(sqrt(5) + -2*sqrt(605)). -841*sqrt(2)/21 Simplify sqrt(209)/(sqrt(11) + 1*sqrt(11) - sqrt(11))*2 + 3*(3 + sqrt(19) + 0). 9 + 5*sqrt(19) Simplify (sqrt(1936)*-4 + sqrt(1936))/(sqrt(48)/(-2*sqrt(6))). 66*sqrt(2) Simplify -1 + sqrt(12)/(sqrt(36) - sqrt(4)) + (sqrt(384)/sqrt(8))**2 + (sqrt(12)/sqrt(2) + sqrt(6))/sqrt(2) + (sqrt(3) - (-1 + sqrt(432)))**2. -39*sqrt(3)/2 + 411 Simplify (sqrt(119) + (-4*sqrt(119) - sqrt(119))*3)/(sqrt(14)/sqrt(2)*-6). 7*sqrt(17)/3 Simplify sqrt(1700) + (-2 + sqrt(1700) + 1)**2 + (sqrt(119) + sqrt(119)*2*2 - sqrt(119))/sqrt(7) + -1. -6*sqrt(17) + 1700 Simplify ((2*(4 + sqrt(125) + 5))**2 + 0)*5. 1800*sqrt(5) + 4120 Simplify sqrt(10)/((sqrt(15)*2)/sqrt(3)) + (-3 + 1 + sqrt(288))**2. -95*sqrt(2)/2 + 292 Simplify 2*1*(sqrt(288) - (-1 + -4*sqrt(288))**2 - sqrt(288) - (sqrt(288)*2 + 2)). -9222 - 240*sqrt(2) Simplify ((2*(-1*sqrt(396) + sqrt(396) + 2) - (-2 + -2*sqrt(396) + -6*(sqrt(396) + 0 + sqrt(396))))*6)**2. 36288*sqrt(11) + 2795472 Simplify ((sqrt(1344)*1 + sqrt(1344) - sqrt(21)) + sqrt(21) + (sqrt(231)*-2)/sqrt(11))/(sqrt(363) + -5*sqrt(363)*-3). 7*sqrt(7)/88 Simplify -3*((5*1*sqrt(245) - sqrt(245))**2 - (-1*(-2 + sqrt(245))**2 - sqrt(245))). -12507 + 63*sqrt(5) Simplify ((0 + -5*((sqrt(931)*2 - sqrt(931)) + sqrt(931))*-6 + -2)*-4)**2. -26880*sqrt(19) + 53625664 Simplify 2*(0 + (sqrt(325) + -2)**2 - (sqrt(325) + 0 + -5)). -50*sqrt(13) + 668 Simplify (1*-6*(sqrt(68) + sqrt(68)*1))/((sqrt(8)*-1*-6)/sqrt(2)). -2*sqrt(17) Simplify 6*-4*3*(sqrt(7) + -4 + -2). -72*sqrt(7) + 432 Simplify (sqrt(21) - ((sqrt(84)*5 - sqrt(84)) + sqrt(84)))/(4*sqrt(7)*-5). 9*sqrt(3)/20 Simplify ((sqrt(68) - -1*-1*sqrt(68)) + -1*sqrt(68)*2)/((sqrt(144) + sqrt(36) + sqrt(36))*2 + sqrt(36)). -2*sqrt(17)/27 Simplify -4 + 3 + sqrt(931) + 3*(3 + sqrt(931))**2. 133*sqrt(19) + 2819 Simplify -4 + -1 + sqrt(605) + 2 - (0 + 4 + sqrt(25)/sqrt(5) + sqrt(5) + -5). -2 + 9*sqrt(5) Simplify (sqrt(294)/(-5*(sqrt(6) - sqrt(24)) + sqrt(6)))/(-1*(sqrt(175) + sqrt(175)*1)). -sqrt(7)/60 Simplify (-2*-2*sqrt(4455))/(2*sqrt(99) - (sqrt(11) - 1*1*sqrt(11))). 6*sqrt(5) Simplify (sqrt(40)/sqrt(4)*3)/(sqrt(200) - (2*sqrt(200) - sqrt(200) - sqrt(200))). 3*sqrt(5)/10 Simplify 4 + sqrt(110)/(sqrt(80)/sqrt(8)) + sqrt(11) + 1 + -4 + sqrt(55)/(sqrt(5) + sqrt(20)). 1 + 7*sqrt(11)/3 Simplify (1*((-1*sqrt(204))/sqrt(12) + 1*(sqrt(51)/sqrt(3) + sqrt(17)) + 1))**2 + -4. 2*sqrt(17) + 14 Simplify ((sqrt(1188) + (sqrt(1188) - (sqrt(1188) - -2*sqrt(1188))))*5)/(sqrt(6)/(sqrt(128)*3)). -720*sqrt(11) Simplify (3 + 4*sqrt(14)/(sqrt(7) - sqrt(7)*-4*-6) + -4)**2. 8*sqrt(2)/23 + 561/529 Simplify ((-4 + sqrt(72)*3 - (sqrt(2)*-1 + 2 + sqrt(2))*-6) + 2)**2. 360*sqrt(2) + 748 Simplify 4*(-2*sqrt(66)*4)/((3*sqrt(36) + sqrt(36))/sqrt(6)). -8*sqrt(11) Simplify (-5 + -3 + 1 + sqrt(1331) - -6*(sqrt(1331) - (sqrt(1331) - ((sqrt(1331)*1 - sqrt(1331)) + sqrt(1331))*2 - sqrt(1331))))**2. -2926*sqrt(11) + 480540 Simplify -2*sqrt(108)/sqrt(6) - (sqrt(4) + -3*sqrt(100))/sqrt(2). 8*sqrt(2) Simplify 5*(4*(0 + -2*sqrt(612)))**2. 195840 Simplify ((sqrt(171)*-2)/sqrt(9) - (sqrt(19)*-1 + 2 - sqrt(19)))**2 + 1*sqrt(931)*-3 + 4. -21*sqrt(19) + 8 Simplify (sqrt(78) + -2*(sqrt(78) + (sqrt(78) - 3*sqrt(78))) + sqrt(78) + sqrt(78))/(sqrt(6) - sqrt(18)/(sqrt(6)/sqrt(2) + sqrt(3))). 10*sqrt(13) Simplify (4 + (sqrt(14)*1)/sqrt(2))**2 - (sqrt(175) + -5*sqrt(175)*-3)**2. -44777 + 8*sqrt(7) Simplify (-2 + sqrt(13) - sqrt(13))*-1 + (-1 + sqrt(26)/sqrt(2))**2 + -2. -2*sqrt(13) + 14 Simplify (4*1*sqrt(4))/sqrt(2) + ((0 + sqrt(128))*6)**2. 4*sqrt(2) + 4608 Simplify (-3*-2*(sqrt(1400)*3)/(sqrt(8) - (sqrt(8) - (sqrt(8) + sqrt(8) + sqrt(72)))*-4) + -1)**2. 12*sqrt(7) + 253 Simplify (5*((sqrt(13) + sqrt(91)/sqrt(7))**2 + -2) + -2)*-2. -496 Simplify -2*-2*(2 + (sqrt(275) - (sqrt(275)*-2 - sqrt(275))**2)). -9892 + 20*sqrt(11) Simplify ((sqrt(77) + (sqrt(77) + sqrt(77)*2)*1 + sqrt(77))*-2)/(-6*(-2*sqrt(704) - sqrt(704)) + sqrt(704)). -5*sqrt(7)/76 Simplify ((-2 + ((sqrt(57) - sqrt(513)*-2)/sqrt(3) - (sqrt(304) + -1)*2))*4)**2. 304 Simplify sqrt(49)/(3*sqrt(175) + sqrt(175)) + 2*(sqrt(1008) + -1*sqrt(1008)). sqrt(7)/20 Simplify -2 + 5 + ((-1*(0 + sqrt(500)) - sqrt(500)) + sqrt(500))**2 + (sqrt(500)*-1*-6)**2 + -3*(sqrt(500)*-2 + sqrt(500)). 30*sqrt(5) + 18503 Simplify 4*(-4 + sqrt(243) + 0) - ((sqrt(243) + (sqrt(243) - (sqrt(243) - 2*sqrt(243))))**2 + 0 + (sqrt(243) + 1*
{ "pile_set_name": "DM Mathematics" }
*(2/3)*o)/o*o)*o)**(6/37)*(o/((o/o**0)/o))/o**(-1/12))**(1/25))**(17/3) assuming o is positive. o**(1717/6660) Simplify ((p/(p*p**(-3/4)*p*p))/(p*p/(p**1/p)))**(-2/7)/(((p/(p/(p**0*p)))/p)**(-27)*p**(-1/4)/(p**(-1/7)*p)) assuming p is positive. p**(57/28) Simplify ((t**0)**26)**(1/50)*((t**(-1/18)/t)/t**(-5))**(-9) assuming t is positive. t**(-71/2) Simplify (s**(1/3)*s/(s/((s/s**1*s)/s)*s))**(-2/89)*((s**(-2/3)*s)/s**7)/(s/(s**(1/2)*s))**(17/3) assuming s is positive. s**(-2039/534) Simplify (((((j**(1/10)*j*j)/j)/j)/j)**(-2/25)*(j**10/j*j)/(j/(j/(((j/((j/j**(-14))/j))/j)/j))))**(2/15) assuming j is positive. j**(6268/1875) Simplify ((r**(-2/11)*r**(-8)*r*(r**(3/4))**(-14))**14)**(1/11) assuming r is positive. r**(-2723/121) Simplify ((o**6*o/(((o**(2/25)*o)/o)/o*o*o)*o)/(o**4/o**(-5)))/(((o/o**(-1/2))/o)**(-10)*o**5*o**(-4/9)) assuming o is positive. o**(-368/225) Simplify ((f*f**(-1/2))/f**42)/(f**32*f)**(-3/22) assuming f is positive. f**(-37) Simplify ((d**(-1))**(-19)/(d*d/d**(-5)*d**(-3/4)))/((d**0/(d**3/d*d))/(d**(-1/2))**(1/12)) assuming d is positive. d**(377/24) Simplify (((f*f**8)/f)/(f**(-2/21)/f))/((f**(-6)/f)/f*f**(3/4)*f)*(f/(f**0*f))/f**(-1/4)*(f*f/(f*f*f**(1/4)))**(7/4) assuming f is positive. f**(5093/336) Simplify (p**(-1/4)*p**(-2/7)/p*((p**(3/4)/p)/p*p)/(p**(-1)*p))/((p*p/(p*p/p**(-1)))**(3/14)/((p/((p*p**(1/4))/p))/p*p**5)) assuming p is positive. p**(89/28) Simplify (j**(2/53)/(j/(j*j**(-3/2)*j*j*j))*(j/(j*j**(-12)*j*j))**(-18/5))**(-13/5) assuming j is positive. j**(47489/530) Simplify (((a/a**(-2))/a**(-6))/(a/a**(-2/5))**(-28))/((a**5/(a/(a**(-2/9)/a)))/(a/a**3*a*a/((a/(a**(-5/6)/a)*a)/a))) assuming a is positive. a**(3833/90) Simplify (((c*c**15)**(-22))**(-1))**(9/4) assuming c is positive. c**792 Simplify ((v**(-10)*(v/(v**(-1/7)/v))/v)/(v**5/v)**27)**(1/49) assuming v is positive. v**(-818/343) Simplify ((((f*f*f*f*f/f**(2/33)*f*f*f)/f)/(f*f**3))/(f**(-5/4)/f**26))**(-38) assuming f is positive. f**(-75715/66) Simplify (h**(-18)/h*h**(6/29)*h*h**(-5/3)*h**15)**(11/6) assuming h is positive. h**(-2134/261) Simplify ((g**(-11))**(2/5)*(g**2*g)**(-15))**23 assuming g is positive. g**(-5681/5) Simplify ((o**(1/4))**(3/5)/(o**(-26)*o/(((o**(2/61)*o)/o*o)/o)*o))**(4/7) assuming o is positive. o**(29503/2135) Simplify ((((o/(o*o**(1/3)))/o)/o)**(-8)/(o**(-2/7))**(-4/7))/((o*o**(-8))/o**(-5)*(o/o**1)**(-15)) assuming o is positive. o**(3014/147) Simplify ((h/(h/h**(-2)))**9/(h**(-8)*h*h**5*h*h))**(-47) assuming h is positive. h**846 Simplify (((w**25)**(-9/4))**(1/4))**14 assuming w is positive. w**(-1575/8) Simplify (x*x*x**(3/7))/(x/((x**(-4/7)/x*x)/x)*x)*x**(-3)/(x/(((x*x**(-1/4))/x*x)/x*x))*((x**0)**(6/7))**(-7/12) assuming x is positive. x**(-123/28) Simplify (f*f**(-2))/(f/f**(-5))*f**(-2/13)*(f*f**7)/f*((f**(-5)*f)/(f**1*f))/((f/f**(-1))/f)**(-40/9) assuming f is positive. f**(-200/117) Simplify ((z/(z*z**1))/(z*z*z**(-5/3))*(z**(2/41)/z*z)/((z/(z*z*z**2*z)*z*z)/z))**(-5/12) assuming z is positive. z**(-1055/1476) Simplify ((x**1)**(-4))**(1/20)/((x*x**(2/5))**18)**(6/11) assuming x is positive. x**(-767/55) Simplify ((l/((l/l**8*l)/l)*l**4*(l*l**(-3)*l)/(l*l**(-1/6)*l*l*l))**50)**17 assuming l is positive. l**(18275/3) Simplify u**(5/8)*u**42/u*(u**(1/11))**(-39) assuming u is positive. u**(3351/88) Simplify ((((s/((s/(s/(s/(s/(s**1/s*s)*s))))/s))**(2/23))**7)**(-46))**(-27) assuming s is positive. s**1512 Simplify ((m**(-1/4)*m)**1*m**(-5/4)/(m**(-4)*m))/((m**(-1/2)*m**(-1/7)*m)/(m**(1/4))**(5/12)) assuming m is positive. m**(755/336) Simplify (m/m**(-7)*m*(m**(1/3)/m)/m)/(m**(-7)*m**5)*m**(-5)/m**(1/2)*(m*m/(m**6/m))/(m/(m**(-7/5)/m)) assuming m is positive. m**(-77/30) Simplify (h**0)**(-1/23)/(h**0)**(26/9)*(h**5/h**6)**28 assuming h is positive. h**(-28) Simplify (g/(g**(-8)/g))/g**(-1/20)*g**(-2/9)/(g*g**(-35)*g*g) assuming g is positive. g**(7529/180) Simplify ((w*w*w*w**(1/2)*w*w*w*w*w)/(w/(w**(1/2)*w))*(w*w**(2/5)*w)**(-2/23))/(((w**6/w)/(w**(-2/17)/w))/(w**4*(w**(1/4)*w)/w*w*w)) assuming w is positive. w**(69783/7820) Simplify (((n**(3/5)/n)/n)/n**(2/7)*(n*n**2*n)/(n/n**(-5)*n))/((n*n/(n/(((n/n**(-1))/n)/n*n)))**(-1/19)/(n**6*n*n/(n/n**(-2)))) assuming n is positive. n**(279/665) Simplify (((s*s**(-1/41))/(s/(s*s/s**27)))/(s**(-36)*s)**(-5))**(-3/13) assuming s is positive. s**(24603/533) Simplify (t*(t*t/((t*t**1/t)/t))/t*t*t*t)/(t*t*t/t**(-3/4)*t)*(t**(-2/9))**11 assuming t is positive. t**(-79/36) Simplify (((j**(16/11)/j*j)/(j/(j/(j*j*j*(j**(1/25)*j*j*j)/j))*j))**(23/5))**43 assuming j is positive. j**(-1247129/1375) Simplify ((f*f**(-1/30)*f)**(-1/3)/(f**(-3/37)*f*f*f*f*f**12*f))**(-1/8) assuming f is positive. f**(58523/26640) Simplify ((u/((u*u**(-9)*u)/u))/(u**(-2/25)*u))**(-2/5)*(u**(-1)/u**(1/4))**(2/141) assuming u is positive. u**(-114553/35250) Simplify v**43*v**(5/3)*v**(1/13)*v**(-2/75) assuming v is positive. v**(14533/325) Simplify (((((c/(c**(-4)/c))/c)/(c*c**(1/9)/c))**(1/22))**27)**(-1/12) assuming c is positive. 1/sqrt(c) Simplify ((d**(5/3)/d*d**(-3/4)*d*d**(1/8)*d*d**(-2/13))**19)**(-2/27) assuming d is positive. d**(-11191/4212) Simplify ((t/(t/(t/t**1)*t))**(-4/5))**17/((t**1)**20*t/(t*t**(1/3)*t*t)*t*t**(-2)) assuming t is positive. t**(-46/15) Simplify (((f/f**35)/f)**(-49)*(f*f**(5/2))**(1/4))**(-10/13) assuming f is positive. f**(-68635/52) Simplify (((m*m**0*m)/m)**14/(m**(3/8)/(m/m**(-6))))/(m*m/(m**(-7)/m)*m*m/(m**(-5)/m))**(-1/33) assuming m is positive. m**(1863/88) Simplify ((j**4*j**(-7)/j)/(j**(-39)*j)**(6/11))**(-4) assuming j is positive. j**(-736/11) Simplify ((g**(-2/7)*g)**(19/5))**(-24/11)*(g**1/((g/(g**(-5)*g))/g))**(-10/11) assuming g is positive. g**(-246/77) Simplify (f/(f*f**(1/2)*f))**(-23)/(f**(3/7)*f**5*f)*(f**6*f**(4/5))/(f**(2/5)*f/(f**(2/9)*f)) assuming f is positive. f**(21857/630) Simplify (((q**(-1/2))**(6/11)*(q**(2/9))**(8/17))**(-19/4))**(-1/6) assuming q is positive. q**(-5377/40392) Simplify (n**(1/3))**(-2/89)/((n**(-1/3)*n)/n*n**(2/15))*(n**0)**(-5)/(n**(-2/3)/n*n)**(-2/45) assuming n is positive. n**(1957/12015) Simplify (i**(-7)*i*i/(i/(i/i**7)))**(-9/7)/((i**(-2/9))**(2/57)/((i**(-8)/i)/i*i**(-1)*i)) assuming i is positive. i**(19522/3591) Simplify (w**12)**49/(w**(5/8)*w)**(-33) assuming w is positive. w**(5133/8) Simplify ((q**(-5))**(-29/5)/(q**(2/7)/q*q*(q/((((q/(q**(2/3)*q))/q)/q)/q))/q))**(22/3) assuming q is positive. q**(11572/63) Simplify ((h**(-2/11)/h*h**(-6))/(h/(h*h**(-1/5)*h)*h/(h/(h*h*h**3))))/((h**(2/9)/h**(-1))/((h**(-3/8)/h)/h**(-5))) assuming h is positive. h**(-35557/3960) Simplify (((h*h**21)/h*h/h**(-14))/(h**(-8)/h**(-12)))**(-42) assuming h is positive. h**(-1344) Simplify ((m*m/((m/((m/(m/m**(3/4)))/m))/m)*m*m/(m/(m*m**(2/7))))/(m**(4/7)*m*m/(m*m/(m*m/(m/(m**(-14)/m))))))**(-2/155) assuming m is positive. m**(-489/2170) Simplify ((((i**19/i)**(-2/9))**33)**26)**(-27) assuming i is positive. i**92664 Simplify (((((f/f**(-3/25))/f)/f*f)/f)/f*f/(f**(9/4)*f)*f)/(f/(f*f**(-40)/f)*f**(-10)) assuming f is positive. f**(-3413/100) Simplify (z**(-2)/(z/z**(1/5)))/(z*z**(-1/14)*z*(z*z**1)/z)*(z**(-1))**(-26)*(((z*z**1)/z)/z)**(1/7) assuming z is positive. z**(1419/70) Simplify (p/((p/(p/p**(-6)))/p)*p*p*p**4)**(-48)*((p**(3/5)/p)/(p/p**(-3)))**(3/13) assuming p is positive. p**(-43746/65) Simplify ((x/(x/(x*x/(x/x**(2/19)))))**5*(x/x**(-4/15))**(-3))**(-43) assuming x is positive. x**(-7052/95) Simplify ((v**16*(v*v**(-3)*v)/v)/(((v*v*v**12/v)/v*v*v)/v**(-2)))**29 assuming v is positive. v**(-58) Simplify (h**1*h)**(-1/11)/(h**(2/15)/(h/h**2))*(h**(-4)*h*h*(h*h**(1/4)*h*h)/h*h)**(-12) assuming h is positive. h**(-2692/165) Simplify (j/(j*j**30*j)*j**(-29)*j*j**(-2/107)*j*j*j*(j*j**32*j*j)/j*j)**(-27) assuming j is positive. j**(60723/107) Simplify ((i/(i**(-1/20)/i*i*i))/(i**(-11/5)*i*i))**(6/29)/((i*(i*(i/(i/((i**(1/4)*i)/i)))/i)/i)**(-12)/((i/i**2)/i**(-1/10))) assuming i is positive. i**(312/145) Simplify (n**(5/3)/n*n**(-1)*(n**(-2))**(23/5))/(n**(-1/5)/n**(1/4)*n/(n/(n/n**2)*n)*n/(n*n*n**(3/5))) assuming n is positive. n**(-329/60) Simplify ((m**0)**3/(m**(2/7))**(-18))/(m**3*m**(-1)*m*m**(4/7)/m**7) assuming m is positive. m**(60/7) Simplify (((q*q**(-33)*q)/q**(1/4))/((q*q/q**(-1/14))/(q/(q*q*q**15*q))))**(2/35
{ "pile_set_name": "DM Mathematics" }
hat is the remainder when y is divided by 22? 21 Suppose 6*k + 12 = 2*k. What is the remainder when ((-2)/4)/((-2)/92) is divided by 0 - 9/k - -10? 10 Let p(n) = 125*n**2 + 2*n + 1. Calculate the remainder when p(-1) is divided by (48/30)/(1*3/60). 28 Let l(q) = -2 - 4*q + 0*q - 3. Let m be l(-4). Let a = m - -12. Calculate the remainder when 68 is divided by a. 22 Suppose c + 0*c + r + 18 = 0, 3*r - 82 = 5*c. Calculate the remainder when 97 is divided by 17*1 + 51/c. 13 Suppose 175 = 5*l - t, 0 = t + 3*t - 20. Let m = -8 - -13. Suppose 48 = m*h - 17. What is the remainder when l is divided by h? 10 Let u(x) = -x**2 + 7*x + 10. Let l(p) = 4*p - 34. Let s be l(10). Suppose -3*m + 0*m = -186. What is the remainder when m is divided by u(s)? 14 Calculate the remainder when (-14)/77 - (-7 + 32964/(-44)) is divided by 38. 34 Let l = 6 + 2. Let y = 24 + -20. Suppose 4*b + y*s - 194 = 2*s, s = 2*b - 91. What is the remainder when b is divided by l? 7 Let z(x) = -x**2 - 3*x + 334. What is the remainder when z(0) is divided by 13? 9 Suppose -3*o + 6*o - 84 = y, 0 = -3*o + 5*y + 84. What is the remainder when 185 is divided by o? 17 Suppose -95*g = -92*g - 396. Let b = g - 112. Calculate the remainder when 33 is divided by b. 13 Let u be (8/(-12))/(2/54). Let q = u - -18. Suppose -12 = 2*i + 5*l - q, 4*i + 4 = -5*l. Calculate the remainder when i is divided by 1. 0 Let o = -9 - -12. Suppose -85 = -o*s + 110. Let m(b) = -b**3 + 2*b - 4. What is the remainder when s is divided by m(-3)? 14 Let a be 3/(((-135)/140)/(-9)). Let b = -11 + a. What is the remainder when 31 is divided by b? 14 Let a(x) = -x**3 - 13*x**2 + 10*x - 34. Suppose -164 = -2*v - 0*v. What is the remainder when v is divided by a(-14)? 16 Suppose -2*v - c = -v - 59, -98 = -2*v + 3*c. Let b = -1683 - -1703. Calculate the remainder when v is divided by b. 15 Suppose 17 + 13 = 2*c. What is the remainder when 310 is divided by c? 10 Let j(a) = 3*a**2 - 6*a. Let g be j(3). Suppose g = 5*f + 4. Let u(b) = 4*b**3. What is the remainder when 11 is divided by u(f)? 3 Let g = -94 - -94. Suppose g = 5*s - 2*v - 3*v - 100, -10 = -5*v. What is the remainder when 82 is divided by s? 16 Suppose -2913 = -32*u - 1185. What is the remainder when 376 is divided by u? 52 Let x = 28 + -23. Suppose -2*j = -x*j + 102. Calculate the remainder when j is divided by 20. 14 Let z be (63/12)/((-4)/(-80)). Suppose -4*k - k + 5*i = -z, 3 = -i. Calculate the remainder when (-11)/(-9)*3*9 is divided by k. 15 Suppose -v + 16 = -76. What is the remainder when v is divided by 28? 8 Suppose 2*r = r + 133. Suppose 0 = -6*y + 28 + 176. What is the remainder when r is divided by y? 31 Let o = -246 + 473. What is the remainder when o is divided by 47? 39 Suppose 0 = -17*o + 27*o - 40. Calculate the remainder when 51 is divided by o. 3 Let f(q) = -q**3 - 8*q**2 + 4*q + 4. Let m = -50 + 41. What is the remainder when 192 is divided by f(m)? 45 Let z(o) = 2*o**2 - 77*o - 51. Calculate the remainder when z(40) is divided by 13. 4 Let p(u) = u**2 + 3*u + 2. Let c be p(-4). Suppose 0 = -j - 2*q + 31, 4*j - 79 - 39 = -5*q. What is the remainder when c/10 - 2635/(-25) is divided by j? 25 Suppose 6952 = 147*f - 3261 + 2422. What is the remainder when ((-1055)/5)/(0 - 1) is divided by f? 52 Let w = -3 - -10. What is the remainder when ((13/w - 1)*35)/1 is divided by 13? 4 Let d(q) = q**3 + q**2 - 12*q - 18. What is the remainder when d(6) is divided by 33? 30 Let f = 112 - 66. Calculate the remainder when 412 is divided by f. 44 Let s = -153 + 486. Calculate the remainder when s is divided by 84. 81 Let t(y) be the first derivative of 2 + 5/3*y**3 - 4*y**2 + 1/4*y**4 - y. What is the remainder when 30 is divided by t(-6)? 8 Let g(h) = 2*h + 5. Calculate the remainder when 40 is divided by g(1). 5 Suppose 14*f = 19*f - 2*k - 288, -2*f - 4*k = -120. What is the remainder when 228 is divided by f? 54 Let a be (-38)/(-2) - (4 - 5). Let z be (6/(-1))/((-30)/a). Suppose 2*v - 358 = -2*v + 2*c, 364 = z*v + 4*c. Calculate the remainder when v is divided by 31. 28 Let q = 10 + -8. Suppose -4*d + 1 = 2*z - 1, 0 = -z - d + 2. What is the remainder when 3/(q + (-4)/4) is divided by z? 0 Let f(x) = 2*x**3 - 8*x**2 + 16*x + 42. Calculate the remainder when f(8) is divided by 76. 74 Let y = -256 - -182. What is the remainder when (0 - -3)*y/(-2) is divided by 19? 16 Suppose 2*t - 6 = 6. Calculate the remainder when t is divided by 3. 0 Let r = 72 + -68. Calculate the remainder when r is divided by 4/16 - (-7)/4. 0 Suppose 0 = -j + 303 - 269. What is the remainder when j is divided by 14? 6 Let d(f) = -f**3 - 6*f**2 - 4*f. Let w be d(-6). Suppose 84 = 4*u + 4*l, -3*u + 38 + w = 2*l. Calculate the remainder when 39 is divided by u. 19 Suppose -4*p - 3*l = -0*p - 11745, -5875 = -2*p + l. Calculate the remainder when p is divided by 60. 57 Suppose -2*l = -l + d - 129, -5*d = -4*l + 516. Suppose -11*r + 15 + 348 = 0. Calculate the remainder when l is divided by r. 30 Let o = 153 - 69. Let a = -9 + 12. Suppose -a*f + o = f. What is the remainder when f is divided by 8? 5 Suppose -2*w + 5*i = -104, 2*w + 18*i - 13*i - 64 = 0. Calculate the remainder when 77 is divided by w. 35 Suppose -3*x - 3*b = -54, -80 = -6*x + 2*x - 2*b. Let l = -19 + x. Let z(u) = 2*u + 2. What is the remainder when z(4) is divided by l? 1 Suppose k + k - 6 = 0. Suppose -k*h - h = 0. Suppose h = 6*z - 5*z - 61. Calculate the remainder when z is divided by 16. 13 Suppose -33*s - 33*s + 2994 = -636. Calculate the remainder when s is divided by 2/3 + (-120)/(-9). 13 Suppose -3*v - 12 = -5*q - 8, v + 4*q = -24. Suppose 9 = -5*z - 16. Let a = z - v. Calculate the remainder when 4 is divided by a. 1 Suppose 0 = -7*h - 34 + 167. Let i = -26 - -79. Calculate the remainder when i is divided by h. 15 Suppose -3*a + 61 - 1 = 3*r, 3*r + 2*a = 62. Suppose -2*t = -r - 38. Calculate the remainder when 117 is divided by t. 27 Suppose 4*q + 4 = -2*b + 66, -3*q + 51 = 3*b. What is the remainder when 93 is divided by q? 9 Calculate the remainder when (-1)/3 - (-56)/(-96)*-220 is divided by (-8)/6*(-66)/4. 18 Let x(d) = 2*d**2 + 31*d - 26. What is the remainder when 145 is divided by x(-17)? 20 Suppose 5*f - 3*i = 1834, 74*f - 72*f - 724 = -2*i. Calculate the remainder when f is divided by 74. 69 Let a(r) = r**3 + 34*r**2 - 34*r + 65. What is the remainder when 11694/66 + 2/(-11) is divided by a(-35)? 27 Let q = -99 + 118. Calculate the remainder when -54*(-2 + 4)/(-2) is divided by q. 16 Suppose -8*u + 6*u = 2. Suppose -5*a - 101 = -266. What is the remainder when a is divided by 5/(-10)*-26 + u? 9 Suppose 3*b - b - 94 = 0. Let t = -33 + b. What is the remainder when 52 is divided by t? 10 Let y = -106 - -116. Calculate the remainder when 225 is divided by y. 5 Suppose -2*l + 360 = -10*l. Calculate the remainder when (l/(-6))/((-1)/(-2)) is divided by 6. 3 Let y be 0 + 0*1/3. Suppose 3*z - 7*z - 20 = y, 0 = 2*x + 3*z - 47. Calculate the remainder when x is divided by 8. 7 Suppose w + 50 = -10. Let p = -33 - w. What is the remainder when 75 is divided by p? 21 Let w(k) = -k**2 + 9*k + 3. Let c(n) = -5*n**3 - 4*n**2 + 2*n. Let o be c(1). Calculate the remainder when w(5) is divided by (-14)/(-2)*((-34)/o - 4). 5 Suppose 3*v - 3*c - 24 = 0, 16 = 2*v + 4*c - 2*c. Let u = 306 + -291. Calculate the remainder when u is divided by v. 7 Suppose 0 = 5*d + 10, -4*y - 5*d + 0 - 18 = 0. Let l be y - (2/1 - 14). What is the remainder when l/45 + (-115)/(-9) is divided by 8? 5 Suppose -24*a = -5540 + 1892. Calculate the remainder when a is divided by 57. 38 Let c = -151 + 194. What is the remainder when 128 is divided by c? 42 Let r = 32 + 12. Suppose 5*g - 3*g - 4*q = r, -q = 5. Calculate the remainder when ((-63)/g - -3)*-12 is divided by 15. 12 Let z = 41 - -21. Calculate the remainder when 72 is divided by (z/(-4) - -3)*-2. 22 Suppose 22*c - 35*c + 182 = 0. What is the remainder when 107 is divided by c? 9 Suppose -4*a - 448 + 1876 = 0. Suppose 2*r - 318 = -5*j, -5*r + 4*j + a = -438. What is the remainder when r is divided by 40? 39 Let x(w) = -w**3 + 23*w**2 - 116*w + 23. Calculate the remainder when x(15) is divided by 14. 13 Let g = 124 - 67. Let k = 19050 + -19027. Calculate the remainder when g is divided
{ "pile_set_name": "DM Mathematics" }
-4*g = -f*n + 7697. Is n a composite number? True Let h(u) = u**3 + 14*u**2 + 4. Let t be h(-14). Suppose t*a - 9 = -r - 1, -r = -4*a. Suppose r*x - 5*m = 2668, 3*x - 3*m = -m + 2001. Is x composite? True Let x be (-25 + 13)*2/(4 - 0). Is (-6 - (-42)/9)*4923/x a composite number? True Let c = 46385 + -32220. Is c a composite number? True Suppose -4*k = -4*j - 68, 4*j + 8 = 5*k - 65. Let g be (j/(-13))/6 - (-55521)/13. Let r = g - 2670. Is r prime? True Let v(u) = 3911*u**2 + 18*u - 39. Let l be -3 + (529/115 - 4/(-10)). Is v(l) a composite number? False Suppose 2*q - q + 147 = -3*o, -3*q = 5*o + 445. Let s(g) = -1878*g**2 + 87*g - 75. Let c be s(9). Is c/q - ((-6)/5)/(-3) prime? True Let a = -36 - 8. Let i = a + 49. Suppose i*p = 26285 - 7830. Is p a prime number? True Suppose 5*w + 62205 = 5*j, 25*w - 20*w + 20 = 0. Is j composite? False Let b = -12763 - -46632. Is b prime? False Suppose 5*d - 4366 = z + 957, -5*z - 4*d - 26731 = 0. Let h = z - -7990. Is h prime? True Suppose 11*a + 402 = -18*a + 30*a. Let l(m) = -213*m + 5. Let x be l(-4). Let p = a + x. Is p composite? False Suppose 2*p + 3*p + 3*x - 23128 = 0, 4*p = -4*x + 18496. Let j = 1907 - p. Is j*((-2)/24 - 8/32) prime? True Suppose -4*l + 2*l - 3*n + 933539 = 0, 5*n = 3*l - 1400356. Is l a prime number? True Suppose 0 = -5*a + 2*a + 39. Suppose 0 = -a*y + 9*y - 1520. Is ((-14)/(-4))/(-7)*(y + -2) a composite number? False Is 577148/8 - (36/(-24) + 2) a prime number? False Let f(x) = -4*x**2 - 60*x - 153. Let q(y) = -y**2 - 15*y - 38. Let t(d) = 2*f(d) - 9*q(d). Let b be t(-12). Suppose b = -4*h + 3454 - 746. Is h a prime number? True Let h = 107567 + -21154. Is h a composite number? False Let g = -521776 - -1376729. Is g prime? False Let k be -2 - (15/(-6) - 2/(-4)). Is (7522/6 - k)*3 a prime number? True Suppose -p + 6 = -0*p. Let k = 1070 - 1067. Is (-106)/k*(1071/p)/(-7) prime? False Let i = -18 + 20. Suppose -1697 = -4*f - f + 4*k, 4*k = i*f - 674. Let o = -142 + f. Is o composite? False Suppose -22 = -3*j + 4*m + 19, -j + 17 = -2*m. Suppose -l + j = -c, -11 = 2*c - l - 0*l. Is (c - (2 + -6)) + (1141 - 0) a composite number? True Let t be (-106)/2*(-2 + -1). Let a(l) = 37*l**2 + 5*l + 3. Let s be a(4). Suppose -3*x - 2*w + s = 0, 3*x - 2*w = 444 + t. Is x a prime number? False Let r = 62420 + -35612. Suppose -5*h + r - 9798 = 5*u, 13614 = 4*u + 2*h. Suppose 0*p + u = 3*p. Is p a prime number? False Let p(w) = 83*w**2 + 6*w - 10. Let d be p(2). Suppose 16400 + d = 6*n. Is n a prime number? True Suppose -13*u + 14*u - 31974 = -4*o, 0 = o - 5*u - 7983. Is o composite? False Let b = -19209 + 10434. Let r = b + 13508. Is r prime? True Let x be -1 + 5/((-25)/(-13205)). Let f = -1489 + x. Is f prime? True Let q be ((-16)/10)/((-1)/5). Let l(d) be the first derivative of d**3 - 17*d**2/2 + 3*d - 239. Is l(q) a prime number? True Suppose -9*h - 301796 = -11*h + 2*l, -5*l + 150904 = h. Is h prime? False Suppose -10476786 = -51*j - 322533. Is j composite? False Suppose 0 = -5*z + 3*n + 2*n - 40, 4*z + 28 = 5*n. Let y(a) = -10 - 10*a**2 + 29 - 49*a - a**3 + 56*a. Is y(z) prime? True Suppose 24 = 4*u, -107*g + 564529 = -102*g + 4*u. Is g a prime number? True Suppose 5*k + 10810 = -5*s, k = s - 0*k + 2172. Let z = 3076 + s. Suppose -3*u + 0*p + z = 3*p, 5*u - 5*p = 1465. Is u a prime number? False Let k(n) = 1401*n**3 + n**2 + 3*n - 3. Let r be k(1). Suppose r = 100*h - 98*h. Is h prime? True Suppose 73748 + 10908 = 4*k + 2*u, -317511 = -15*k + u. Is k a prime number? False Let v = 295469 + -208804. Is v a prime number? False Let b = 14 + -12. Is (-55210)/(-14) + ((-8)/7)/b a composite number? False Let x(p) = -27*p - 20 + 15*p + 14*p. Let s be x(6). Is (-26918)/s - (-2)/8 composite? True Let i be 210/24 - (-4)/16. Let y(v) = 4*v - 29 + 101*v - i*v. Is y(11) a prime number? False Let q(p) = 3*p**2 + 13*p - 63. Let k be q(4). Suppose 50811 = k*m - 35288. Is m a prime number? False Suppose 257*v = 46129349 + 290609784. Is v prime? True Let r = -34 + 34. Suppose 3*w + 7119 = 3*z, r = -5*z + w + 2*w + 11863. Suppose -z = -10*i + 1038. Is i a composite number? True Let y be (-12)/(-18)*10689/(-14). Let x = y + 2664. Is x prime? False Suppose 0 = -41*z + 26*z + 5833365. Is z a prime number? True Let v = 6362 - 3857. Suppose 4*b = z + 10010, -8*b = -9*b - z + v. Is b a composite number? False Let x = 35 + -25. Let t = x + -5. Suppose -3628 = -2*v + 2*k - k, -5*v - t*k = -9070. Is v a composite number? True Let v(w) = w**3 + 15*w**2 - 28*w - 109. Is v(27) prime? True Let c = 7083 + 86030. Is c a prime number? True Let m be 4/(-10) - 102/(-30). Suppose -r - 12 = -m*d, d + 0*r = 4*r + 4. Suppose -1605 = -d*u + 1767. Is u a prime number? False Suppose -11*b - 13496 + 174800 = 0. Suppose 2*n + 3662 = b. Is n a prime number? True Suppose 906 = -5*s + d - 849, 0 = s + 5*d + 351. Suppose -4*p + 35 + 89 = -2*a, 0 = p - 3*a - 36. Let i = p - s. Is i composite? True Suppose 5*r = 13 + 12. Suppose 4*z = 3*z - n + r, -5*z + 25 = -n. Suppose -4*w - 6299 = -0*j - 5*j, -z*j + 5*w + 6300 = 0. Is j prime? True Let v(b) be the second derivative of 13*b**4/4 - b**3 - b**2 + 78*b - 1. Is v(-6) a composite number? True Suppose 16*x = 14*x + 8. Suppose 2*n + 5*d = 2503, 7*d + 9 = x*d. Is n a prime number? True Let t = 256 + -253. Is 2556/t + (2 - 0) + -3 composite? True Let u be (-52)/(-78)*(-6363)/(-2). Let m = 12612 - u. Suppose 5*k + 6*b - 17450 = b, 0 = 3*k - 4*b - m. Is k a composite number? True Let n = -25187 + 57663. Is 8/(-6) + n/12 a composite number? True Let x = 94431 - 49592. Is x a prime number? True Let u = 13 - 62. Let i = 52 + u. Suppose v + 2*k - 1029 = i*k, 4*v - 4118 = 3*k. Is v composite? False Let k = 261853 + -74612. Is k composite? True Suppose 32*a - 30*a - 1007414 = 0. Is a a composite number? False Let y(n) = 0*n**2 - 23 - 3*n**3 + 0*n**3 - 18*n**2 + 2*n**3 + 46*n. Is y(-24) a prime number? False Suppose 2807*f - 2810*f + 56652 = -32145. Is f prime? True Let r(a) = -8*a - 4. Let h be r(-1). Suppose -4*u + 58791 = -z, h*z = -u + 7*z + 14684. Is u a composite number? False Let g = -45 + 79. Suppose -7*l = -9*l - g. Let f(v) = -109*v + 48. Is f(l) a composite number? False Suppose 0 = r + 4*m - 12, -2*r + 26 - 41 = -5*m. Suppose -5*i + 2*f + 10026 + 2049 = 0, r = 3*i + 3*f - 7266. Is i a prime number? True Suppose -12*a + 12 = -6*a. Suppose 4*q - 232 = a*q. Suppose 6*p = 1030 + q. Is p a prime number? True Suppose 1076189 = -62*b + 67*b + 3*v, -645705 = -3*b - 6*v. Is b a composite number? False Let u(c) = -c**3 - 28*c**2 + 11*c + 38. Let j be u(-12). Let o = -495 - j. Is o a composite number? True Let r = 5690 + -3648. Let s = 4905 - r. Is s composite? True Let y = -11 + 17. Suppose 2*r - y*r = -2*q - 8522, 5*r + 2*q - 10639 = 0. Is r composite? False Let h(l) = -5*l + 3*l**2 + 221*l**3 - 73 + 73. Let g be h(2). Suppose 3*p + 4*x = p + g, -3560 = -4*p + 2*x. Is p a composite number? True Let j(v) be the first derivative of v**4/4 + 25*v**3/3 + 19*v**2/2 + 53*v - 296. Let z be 2*(-1 + -11 + 1). Is j(z) prime? True Let m be (1670076/45)/((-2)/(-5)*1). Suppose m = 14*y + 26688. Is y composite? False Suppose 618435 + 587455 = 2*t + 4*f, 4*t + 3*f - 2411740 = 0. Is t a prime number? True Let g(n) = 39*n**2 + 4*n - 12. Suppose 5*b + 3*f - 121 = 0, 3*b - 3*f - 70 = -7. Let x be (-14)/3 + b/(-69). Is g(x) a prime number? False Suppose 7*v - 8*v = -5*f - 65, 2*f + 221 = 3*v. Is (v/(-50))/(2/(60324/(-9))) composite? True Suppose 6*l - 2*l + 2093 = -3*g, 0 = -4*g - 3*l - 2779. Let f = -144 - g. Let m = f - -222. Is m a composite number? False Let d be ((12/10)/((-2)/10))/1. Is 15993/d*5*4/(-30) a prime number? True Let n(d) = 693*d**2 + 113*d - 25. Is n(-8) a composite number? True Suppose 0 = 8*s + 9*s - 51. Suppose s*v = i + 12, 2*v + 6*i = 4*i + 16. Suppose -v*g + 47 = 12. Is g composite? False Let f be (0 - 2*-1)*2401. Let a = 2398 + -2393. Suppose -5*u - a*n + 14168 = -f, 0 = -4*n + 4. Is u prime? True Suppose m - 29 = -4*l - l, -3*l + 4*m = 1. Suppose 22 = 4*i + x, -4*x = -l*i - 7*x + 24. Is (1 + -18)*3/(i/(-62)) composite? True Let u(v) = 73*v**3 - 3*v + 1. Let i be u(3). Let d = i + 1042. Is d prime? False Let z(o) = -o**3 - 7*o**2 - 8*o - 8. Let a be z(-6). Suppose a*k = 5962 + 7862. Suppose 4*
{ "pile_set_name": "DM Mathematics" }
**2 Let v(i) = -8*i**2. Let f(b) = -11*b + 8. Let o = -9 - -1. Let s(k) = 7*k - 5. Let j(w) = o*s(w) - 5*f(w). Calculate j(v(q)). 8*q**2 Let f(s) = -s. Suppose 3 + 7 = 5*n. Let r(y) = -n + 2 - 2*y**2 + 8*y**2. Determine f(r(g)). -6*g**2 Let h(j) = 6*j**2. Let a(v) be the third derivative of -v**4/24 - 11*v**2. Give a(h(c)). -6*c**2 Let y(n) = -617*n. Let t(j) = -4*j**2. Calculate y(t(p)). 2468*p**2 Let n(z) = 2*z**2. Let t(j) be the second derivative of 0*j**2 + 1/2*j**3 - 3*j + 0. Give t(n(v)). 6*v**2 Let i(u) be the first derivative of u**3 + 4. Let j(o) = -4*o**2. What is i(j(f))? 48*f**4 Let x(m) = 579*m**2. Let k(n) = -3*n. Calculate k(x(r)). -1737*r**2 Suppose 4*a - 5*b = -7, -2*a + 0*a = -5*b + 11. Let p(z) = z**a + z - z. Let u(k) be the third derivative of k**4/24 + 4*k**2. What is u(p(x))? x**2 Let w(f) = 4*f. Let m(s) = -423*s. Give w(m(h)). -1692*h Let p(r) = -2*r. Let n(x) = -15*x - 696. Give p(n(t)). 30*t + 1392 Let y(t) be the first derivative of t**5/60 - 5*t**2/2 - 1. Let q(g) be the second derivative of y(g). Let p(h) = -4*h**2. Calculate p(q(r)). -4*r**4 Let b(j) be the second derivative of -j**3/3 + j. Let u(g) = 2*g - 4*g + 4*g + 0*g. Give b(u(o)). -4*o Let c(f) = 2*f. Let p(o) = 1210*o**2. What is c(p(u))? 2420*u**2 Let o(z) = -3*z**2. Let u(j) be the first derivative of j**2/2 + 6. Calculate u(o(i)). -3*i**2 Let a(h) = -2*h + 422. Let p(r) = -9*r**2. Determine p(a(i)). -36*i**2 + 15192*i - 1602756 Let h(w) = w + 3*w - 5*w. Let z(q) be the third derivative of q**6/360 + q**3/3 + 2*q**2. Let j(y) be the first derivative of z(y). What is j(h(k))? k**2 Let v(i) = -15*i - 43 + 43. Let g(u) = u. What is g(v(y))? -15*y Let w(o) be the third derivative of -o**5/60 + o**3/3 - 3*o**2. Let c(g) be the first derivative of w(g). Let x(q) = 2*q**2. Calculate x(c(k)). 8*k**2 Let m(k) be the first derivative of 2*k**3/3 + 1. Let u(g) be the first derivative of -5 - 2*g**2 + 5 + 1. Calculate m(u(x)). 32*x**2 Let b(c) = 0*c + 2*c - 2*c - 2*c. Let f(g) = -33*g. Calculate b(f(l)). 66*l Let k be (-4)/(-18) - 32/(-18). Suppose 3*v = -k*v + 20. Let t(d) = 0 + 0 + 5*d - v*d. Let r(b) = 2*b**2. What is t(r(h))? 2*h**2 Let z(q) = 2*q**2. Let r = 14 + -21. Let b = r - -9. Let w(s) = -3*s**b + 7*s**2 - 2*s**2. Calculate w(z(c)). 8*c**4 Let j(f) = 135*f - 135*f - 7*f**2. Let k(y) = y**2. Calculate k(j(t)). 49*t**4 Let t(o) = -3*o**2. Let d(s) be the first derivative of 0*s + 1/3*s**3 + 0*s**2 - 4. What is t(d(x))? -3*x**4 Let b(k) = -2*k. Let q(y) = y**2. Let g(f) = -3*f**2 - 2*f**2 - 5*f**2. Let s(v) = -g(v) - 8*q(v). Give b(s(u)). -4*u**2 Let m(g) = -g. Let o(x) = 46423*x. Calculate o(m(i)). -46423*i Let a(r) = -20*r. Let f(i) = 7*i. Give a(f(n)). -140*n Let p(a) = 93*a**2 - 3. Let x(i) = -4*i. Give p(x(j)). 1488*j**2 - 3 Let b(i) = 2*i. Let w(f) = 7*f**2 + 2*f - 2. Let p(o) = 13*o**2 + 5*o - 5. Let x(l) = 2*p(l) - 5*w(l). Give b(x(k)). -18*k**2 Let g(k) = 2*k**2. Let m(v) = -9*v**2 - 5*v. Let t(i) = -i. Let w(z) = m(z) - 5*t(z). Give w(g(c)). -36*c**4 Let a(y) = -y. Let w(b) = -11*b**2. Calculate w(a(t)). -11*t**2 Let r(o) = 22*o - 4. Let w(v) = 65*v - 11. Let u(b) = -11*r(b) + 4*w(b). Let i(q) = -1 + 1 + 0 + 2*q**2. What is u(i(c))? 36*c**2 Let l(c) = -2*c**2. Let s(o) = 2*o**2. Let d(m) = 7*l(m) + 6*s(m). Let r(w) = w**2. Determine r(d(h)). 4*h**4 Let d(n) = 13*n + 2*n**2 - 13*n. Let j(v) = 6*v. Let s(x) = -4*x. Let f(w) = -5*j(w) - 8*s(w). Determine d(f(u)). 8*u**2 Let y(c) = c - 3*c + 4*c - 7*c. Let h(j) = j**2. Determine h(y(i)). 25*i**2 Let x(v) = 10*v**2. Let g(q) = 6*q**2. What is x(g(u))? 360*u**4 Let a(w) = -15*w. Let l(i) = -17*i**2 + i. Give l(a(s)). -3825*s**2 - 15*s Let r(j) = j. Let u(l) = 137*l. Calculate u(r(s)). 137*s Let l(d) = -d**2 + 2*d - 2. Let u(m) = 3*m**2 - 5*m + 5. Let a(k) = 5*l(k) + 2*u(k). Let h(f) = 4*f - 2*f - 3*f + 2*f. What is a(h(w))? w**2 Let g(b) = 2*b**2. Let j = 3 - 1. Suppose -j*d + 2 = -d. Let l(c) = -7*c**2 + 13*c**2 - 4*c**d. Determine g(l(z)). 8*z**4 Let m(x) = -x**2. Let d(a) be the third derivative of -a**7/2520 + a**4/24 + 11*a**2. Let r(v) be the second derivative of d(v). Give m(r(w)). -w**4 Let b(k) = k + 1. Let h(y) = -4*y - 3. Let f(o) = 6*b(o) + 2*h(o). Let c(x) = -3*x**2 - 2. Determine f(c(m)). 6*m**2 + 4 Let m(t) = 2*t**2 + 32*t**2 + 14*t**2 + 20*t**2. Let z(r) = r**2. What is m(z(p))? 68*p**4 Let m(a) = -28*a. Let g(h) = 14*h. Calculate m(g(r)). -392*r Let b(n) = -3*n. Let d(i) = 11*i. Determine d(b(f)). -33*f Let d(j) = 2*j**2. Let a(g) = -1. Suppose 6*o + 25 = 11*o. Let m = -2 - -1. Let p(n) = -n - 5. Let v(w) = m*p(w) + o*a(w). What is v(d(z))? 2*z**2 Let n = 0 - 1. Let x = n - -6. Let y(b) = -3*b**2 + x*b**2 - 3*b**2. Let f(k) = k**2. What is f(y(j))? j**4 Let u(w) = -21*w**2 + 28. Let m(f) = -14*f. Give m(u(c)). 294*c**2 - 392 Let v(j) = -5*j**2 + 9*j. Let p(b) be the second derivative of b**4/12 - b**3/3 - 3*b. Let t(a) = 18*p(a) + 4*v(a). Let m(o) = 2*o. Determine t(m(g)). -8*g**2 Let k(h) = -13067*h + 2. Let y(b) = -b**2. Determine k(y(d)). 13067*d**2 + 2 Let l(k) = 3*k**2 - 112*k. Let i(u) = -3*u. Determine l(i(j)). 27*j**2 + 336*j Let p(f) = -2*f**2. Let l = 3 + -1. Let t(g) = 1 + 2*g**l - 1 - 7*g**2. Calculate t(p(x)). -20*x**4 Let o(u) = 14*u - 17. Let s(w) = -5*w + 6. Let t(m) = 6*o(m) + 17*s(m). Let k(r) = 10*r. Calculate t(k(h)). -10*h Let d(a) = 3*a. Let j(c) = -16*c - 10. Let p(h) = -5*h - 3. Suppose 0 = y + 2*y + 30. Let b(k) = y*p(k) + 3*j(k). What is b(d(r))? 6*r Let f(i) = 3*i**2. Let y(l) = -32*l**2 - 2. Let g(a) = -63*a**2 - 5. Let t(h) = 2*g(h) - 5*y(h). Determine t(f(s)). 306*s**4 Let c(g) = -7*g**2. Let z(v) = 9*v. Let j(l) = -16*l. Let m(i) = 3*j(i) + 5*z(i). What is m(c(k))? 21*k**2 Let l(y) = 3*y**2 + y**2 + 0*y**2. Let u(m) = -3*m - 17. Suppose -3*t = -7*t + 68. Let v(b) = b + 6. Let i(q) = t*v(q) + 6*u(q). Calculate l(i(s)). 4*s**2 Let u(f) = 9*f**2. Let o(h) = h**2 - 6*h**2 + 4*h**2. What is o(u(w))? -81*w**4 Let a(g) = 24 - 5*g - 24. Let o(p) = 3*p**2. What is a(o(m))? -15*m**2 Let d(l) = 2*l. Let f(x) = 2*x. Let m(o) = 6*d(o) - 5*f(o). Let z(y) = -8*y**2. Give z(m(h)). -32*h**2 Let q(h) = -2*h. Let y(j) = -49*j. Give y(q(v)). 98*v Suppose 5*s - 6*s = -2. Let h(b) = b + s*b + b - 2*b. Let a(m) = -4*m**2. Determine a(h(w)). -16*w**2 Let q(m) = -m. Let d(x) = -69*x - 13. Let z(u) = -34*u - 6. Let g(f) = 6*d(f) - 13*z(f). Calculate g(q(i)). -28*i Let m(p) = -p. Let a(l) be the third derivative of -l**5/40 - l**3/3 + 5*l**2. Let t(r) be the first derivative of a(r). Calculate t(m(o)). 3*o Let m(j) = j**2. Let i(y) = -6*y**2 + 4*y**2 - 4*y**2 + 3. Let o(a) = 13*a**2 - 7. Let c(v) = -7*i(v) - 3*o(v). Give c(m(x)). 3*x**4 Let k(n) = 9*n**2. Let b(s) = 43*s - 2. Determine b(k(w)). 387*w**2 - 2 Let z(j) = -j**2. Let d(r) be the first derivative of -r**3/3 - 5*r**2/2 - 5*r + 2. Let m(w) = 2*w**2 + 8*w + 8. Let y(a) = 8*d(a) + 5*m(a). Determine z(y(t)). -4*t**4 Let p(y) = 1976*y. Let b(j) = 3*j. Give b(p(m)). 5928*m Let j = -11 - -5. Let x = j + 8. Let l(o) = 4*o**2 - o**2 - x*o**2. Let r(f) = 2*f. What is r(l(p))? 2*p**2 Let h(n) = n + 113. Let p(x) = 7*x**2. Give p(h(c)). 7*c**2 + 1582*c + 89383 Let m(l) = 2*l - 5. Let y(u) = u - 2. Let s(z) = 2*m(z) - 5*y(z). Let j(n) = 2 + 3*n - 2. Give j(s(b)). -3*b Let k(x) = 4*x + 3. Let p(b) be the first derivative of -2*b**3/3 + 29. What is p(k(n))? -32*n**2 - 48*n - 18 Let z(r) = 7*r. Let a(m) be the third derivative of -m**4/12 + 5*m**2. Calculate z(a(p)). -14*p Let s(x) be the second derivative of -x**3/3 + 18*x. Let p(n) = n**2 - 9. Give s(p(m)). -2*m**2 + 18 Let x(j) = 71 - 71 + 2*j. Let k(p) = -92*p**2. Give k(x(c)). -368*c**2 Let b(r) = -r. Let a = 6 - 3. Suppose -a*u = -8 + 2. Let x(z) = 2 - 2*z - u. Calculate b(x(s)). 2*s Let q(m) = 85*m**2. Let p(i) = 17*i. What is q(p(n))? 24565*n**2 Let q(f) = 2*f. Let i be 0/(2/(-8)*-4). Let d(a) be the third derivative of i*a**3 - 1/12*a**4 + 2*a**2 + 0 + 0*a. Calculate d(q(o)). -4*o Let c(a) = a + a - 3*a. Suppose -4*d + 7 + 5 = 0. Let x(u) = u + 3 + u - d. Give c(x(q)). -2*q Let x be 0/((-1 + 3)*-1). Let d(j) be the second derivative of 1/6*j**3 + 0*j**2 + j + x. Let n(s) = 2*s**2. What is n(d(r))? 2*r**2 Let j be 0 - (2 - 1 - 5). Let k(c) = 2*c + j*c - 3*c - 2*c. Let n(t)
{ "pile_set_name": "DM Mathematics" }
-5*n + 26 + 15 = 4*i, -5*n + y = -5*i for n. 5 Suppose 0 = -3*d - s + 2*s + 8, -2*d + s = -5. Solve 5 = 5*x + 4*i, -1 = -2*x - d*i + 1 for x. 1 Let t be 1 + (-2 - 0 - -4). Solve -c = -t*g - 10, 0 = -5*c - 4*g - 12 - 14 for c. -2 Let c(y) = y**2 - 12*y + 38. Let b be c(6). Suppose 3*a - b*v - 6 = 4*a, -3*v - 27 = -3*a. Solve -3*k + 5*k + a*w = -16, -k + 16 = -4*w for k. 0 Let d(n) = n**2 - n + 1. Let l(t) = 5*t**2 + 31. Let c(o) = 6*d(o) - l(o). Let f be c(9). Solve 0 = f*k + 2, -2*s = 2*k for s. 1 Suppose -9*l + 0*l + 9 = 0. Solve 2*h = 4, -d + 0*d + 3*h = l for d. 5 Let q = 8 + 4. Suppose -q = -6*k + 4*k. Let s be 3/((-9)/(-12) - 0). Solve -r + k*r = -4*y + 31, s*y - 22 = -2*r for r. 3 Let d(g) = 3*g - 4. Suppose -5*a - 8 - 22 = 0. Let c be d(a). Let m be c/(-55) + (-4)/10. Solve m = -4*u + 2*u + 4*w + 10, -w - 3 = 0 for u. -1 Let r be (-1)/(14/(-42)*6/46). Solve -3*h + 0*x = 5*x + r, 0 = -h - 2*x - 9 for h. -1 Let k(v) = -7*v + 12. Let n be k(9). Let i = 54 + n. Solve i*p + 35 = -2*p - 2*t, p + 3*t = -20 for p. -5 Let x(w) = w**3 + 4*w**2 - 5*w - 5. Let l be x(-4). Suppose 3*q - 4*q = -l. Suppose 0 = -6*t + t + q. Solve 2*z = t*n - 11, -24 = -2*z + n - 5*n for z. 2 Suppose -5*g - 28 = 2. Let s = g - -8. Suppose 0 = 2*j - s*o + 4, 2*j + j + 3*o = 6. Solve 3*b + 4*f + 24 = j, -5*b + f = -0*b + 17 for b. -4 Let d = 2 + 1. Suppose -o + d*o = -5*a + 312, -5 = -5*o. Let f be (-1)/(-4) + a/8. Solve -16 = 4*n - 4*t + f, -5*t = 4*n - 12 for n. -2 Suppose 7*y = 78 + 20. Let v = 18 - y. Solve -z = 6*l - 2*l + 4, 0 = -v*z + 3*l + 22 for z. 4 Let h(l) = -l**2 - 9*l + 55. Let d be h(-13). Solve 0 = 3*z - 2*n + 7, -5*z = d*n + 37 for z. -5 Let k be (12/15)/((-8)/(-100)). Let i be (5/k + -1)/((-2)/12). Solve 2*l = m - 2 + 5, m = -2*l - i for m. -3 Let u be 2/(-4) - 234/12. Let m = 25 + u. Solve j + m*l - 11 = -2*j, 0 = -5*j + 3*l + 7 for j. 2 Suppose -31 = 3*l - 193. Let c = l + -45. Solve -5*t - 26 - c = 3*h, 2*t - 5*h = 17 for t. -4 Suppose 2*q = -5*j, 5*j - 2*q - 2*q - 30 = 0. Solve t + 8 = -z + 3*t, 19 = j*z + 3*t for z. 2 Let y be 17*(6*(-5)/(-6) - 4). Let m(j) = -2*j**3 - 4*j**2 - 3*j - 1. Let p be m(-2). Solve 35 = 5*b - p*w, w = -4*b - b + y for b. 4 Let b = 8 - 5. Let c = 26 + -30. Let p be (-8 - -9)/((-1)/c). Solve -p*z - 8 = -20, b*d - 21 = -4*z for d. 3 Let g(r) = -32*r + 329. Let p be g(10). Solve -3*o = t - 18 + p, -2*t - 2 = -4*o for t. 3 Let g(d) = d**2 - 2*d + 2. Let m(h) = -5*h**3 + h - 1. Let p be m(1). Let s be -5 - p - -1*3. Let c be g(s). Solve 0 = 5*a + 3*f - 19 + 3, c*f = -3*a for a. 5 Suppose -h - 5*g + 2*g + 8 = 0, g = -h + 4. Suppose -2*c = -4*i + h, i + 2*i = -5*c + 34. Solve -2*y + i*f = -17 + 2, -25 = 4*y + 5*f for y. 0 Suppose y - 11 + 7 = -2*x, 1 = x. Let c be (-20)/(-9) - 10/45. Solve 5 = s - c*i, 2*s - y = s - i for s. 3 Suppose -6*n = -6 - 48. Suppose 4*l = n*l - 70. Solve 0 = -2*k - 2*j - 8, 3*k = 5*j + 6 + l for k. 0 Let g(s) = s. Let q be g(3). Suppose -10*z = -4*r + 68, -r - 33*z - 22 = -29*z. Solve -i + j = 0, r*i = j - 1 - q for i. -4 Let o be 42/6*(-12)/(-28)*2. Let m = 14 - 11. Solve o = 3*b + m*x, 3*x + 12 = b - x for b. 4 Let u be 1/((-2)/2*-1). Let l be 0 - (-2 + u + 0). Let s be 610/15 + l/3. Solve -2*d = -5*q + 8 - s, -q = -3*d + 17 for d. 4 Suppose -9*v + v + 32 = 0. Suppose -4*h - v = 4*z, -z = 4*z - 4*h - 22. Solve k = 2*n + 12, -3*k = z*n + k - 8 for n. -4 Suppose 5*k + 53 + 27 = 0. Suppose 4*a + p + 48 = 0, 5*a + 51*p - 47*p = -71. Let t = a - k. Solve -3*h + h - 26 = t*w, 3*h + 9 = 0 for w. -4 Let v be (60/(-25))/((-1)/5). Let n(o) = o**2 - 9*o - 7. Let l be n(v). Solve 5*m + 0*i + i = l, i - 24 = -4*m for m. 5 Suppose 0 = -b + 2 + 3. Suppose -b*q - 85 = -0*q. Let y be q/(-4) + (-1)/4. Solve 0 = y*v + 2*l + 16, 0 = -2*v + 5*l + 6 - 26 for v. -5 Suppose 8*c - 6*c - 6 = 0. Let i be (-16)/(-4) + -3 + c. Let j = i + -3. Solve -1 - j = 2*l + 2*u, 2*u - 16 = 4*l for l. -3 Let l(a) = 7*a - 6. Let s be l(2). Solve 0*o = -4*c + 2*o + s, 2*o - 4 = c for c. 4 Let m be ((-18)/(-45))/(2/10). Let c(p) = 3*p + 23. Let j be c(-7). Solve -3*l - m = -j*o - l, o = -2*l - 5 for o. -1 Suppose 0*q = 4*q. Suppose q = -3*a + 21 - 9. Suppose 17 = 5*v + a*s, -3*v - 2*s + 3 = -8. Solve -r = -l - l + 4, -4*r = -v*l + 7 for l. 3 Suppose -10 = 16*c - 74. Solve -5*q = -c*l - 2, 0 = l - 2*q - q - 3 for l. -3 Let t = -2643 - -2643. Solve t = 5*h + 2*o + 26, 16 - 25 = 3*o for h. -4 Let i(b) = -b - 4. Let c = 19 + -27. Let n be i(c). Solve -13 = x - n*s, -s - 23 = -5*x - 3*s for x. 3 Let t be -88 + 5/((-10)/4). Let f = 98 + t. Solve -f = 4*k - 4*v, 20 = 4*v + v for k. 2 Let h(d) = -d**3 + 10*d**2 + d - 4. Let k be h(10). Suppose -k*m = -71 - 1. Let b be ((-18)/(-4))/(m/16). Solve -4*x = -4*t - 16, 2*t = 3*x - 1 - b for t. -5 Suppose -5*d + 22 = 4*b, -4*b - d + 19 = 5. Solve 2*m + 0 = -b*l - 5, -2*m = -2*l + 10 for m. -4 Let s(l) = -l**3 - 2*l**2. Let w be s(-3). Let n = w - 4. Solve -2*p = -n*p + 15, -3*o - 30 = -3*p for o. -5 Suppose j = -s + 6*s - 98, -3*j + 5*s - 294 = 0. Let q = 106 + j. Solve 4*u - q = 2*v, 2*u + v - 1 = -u for u. 1 Suppose -19*v + 133 = -0*v. Solve f - 1 = -2*a, 4*f - 37 = 5*a - v for a. -2 Let f be ((-11)/33)/(2/(-42)). Let p = 3 + f. Suppose -2*d + p = -k - 4*k, -25 = -2*k - 5*d. Solve k = 2*r - a + 6*a + 14, 5*r = 4*a - 2 for r. -2 Let n = -44 - -79. Suppose -k = 6*k - n. Solve -2*o - 22 = -4*u, -11 = k*o + 2*u - u for o. -3 Let z = -65 - -67. Suppose d - 5 = x, 2*d = d + 4*x + z. Solve 5*b + 3*q = -5, 0 = -3*b - 5*q + d - 25 for b. 2 Let b be 11 + 2/(-5 + 4). Let o(f) = -f - f + b + 0*f + 3*f. Let g be o(-5). Solve -g*q = 4*h + 20, 0 = 3*q - 2*h + 1 + 14 for q. -5 Suppose -6*u - 40 - 8 = 0. Let y be (u/28)/(1 - 16/14). Solve 0 = 2*k + k - q + y, 0 = -2*k + 2*q for k. -1 Let g = 61 + -58. Let q(j) = j - 3. Let m(c) = -1. Let a(l) = -2*m(l) + q(l). Let u be a(2). Solve 0 = 5*f - g*s - u - 0, 8 = -2*f + 4*s for f. 2 Let i = 994 - 966. Solve -1 = -5*z - 4*b + 3, -4*z = -3*b - i for z. 4 Suppose 22*n + 24 = 30*n. Solve 0 = n*v - 3*q - 5 - 4, -2*v - q = 0 for v. 1 Let b(d) = 12*d - 44. Let u be b(4). Solve -3*n - u*p - 14 = -5*n, -n - 2*p = 1 for n. 3 Suppose 12*x - 10*x = 360. Suppose -16*b + 60 + x = 0. Solve -f = 5*h - 25, f = -2*f + b for h. 4 Let z be (-1)/6 + (201/18 - 6). Let h = 14 - 10. Suppose 25 = 6*r - r. Solve -5*q + 0 = z*p + r, 5*q + h*p = -2 for q. 2 Let b(z) = -4*z - 2. Let q be b(-1). Solve 2*n + 7*p - 8 = 5*p, 4*p = -q*n + 18 for n. -1 Suppose i - 5*o - 1 = 0, i + 3*o = -4*i + 33. Suppose -2*q = -4*m + i, -3*q + 0 = 15. Let v be (-15)/(-1) + 3/m. Solve 2*p = 3*z + 7, 3*z = -z - v for p. -1 Let k = -118 + 51. Let z = 70 + k. Solve 0*s + z*w = s + 11, -5*s + w = 13 for s. -2 Let o(a) = -a - 10. Let b be o(-12). Suppose -4*c = -70 + 2. Solve k - 3*t = -3*k - 32, 0 = 5*k + b*t + c for k. -5 Let k = -44 - -47. Solve 4*j + 3 = -0*j + k*y, -5 = -y for j. 3 Let z be (-12)/(-5 - 18/(-6)). Solve 5*x - 2*k - 12 = -6*k, 3*x + z = 2*k for x. 0 Let d(a) be the second derivative of a**5/20 + a**4/12 - 7*a**2/2 + 2*a. Let v be d(3). Solve -4*s = -3*h + v, s = 2*h - 2*s - 21 for h. 3 Let i be 21/3 - 7 - -6. Solve -4*l + 5*c = 2, 11 = -l + 2*c - i*c for l. -3 Let i be (-5178)/(-126) - 2 - 4/42. Solve 0 = -3*t - 3*u, 2*t - 4*u = 15 - i for t. -4 Suppose 0 = 3*w + 5*h - 29 - 9, -2*w = 5*h - 22. Let s be 6/27 - w/(-9) - 0. Solve 7 = -5*t + m, -t + 0*m + 4 = -s*m for t. -2 Let q = -5 - -10. Suppose 0 = 3*f + 4*k + 1, 2*k - 12 = -4*f. Solve n = -2*r - f, -n - q - 8 = 4*r for r. -4 Let a(z) be the second derivative of -z**4/6 - z**3/3 + z**2 + 7*z. Let m be a(1). Let t be m + (-12)/(-4) + 2. Solve n - 5*f = 9, -2*f - 1 = -t*n - 0*f for n. -1 Suppose r - 77 = -3*b - 67, -5*b + 35 = -2*r. Let z be 1/2 + 3/(-2). Let d = z + 1. Solve d*i = -5*i - u - 14, 0 = -b*i + u - 6 for i. -2 Let u be 18/126 - (-58)/(-14) - -4. Solve a + w = -4 + 10, u = -a - 5*w + 14 for a. 4 Let q = 316 - 316. Solve q*g + g = j, -g + 12 = -5*j for g. -3 Suppose 10 = 24*x - 19*x. Solve -5*c - m - x*m = -12, -c = 4*m + 1 for c. 3 Suppose -4*n = 8, 2*b = 3*b - 3*n - 11. Solve -3*o + 2*y = -3, o = -4*o + b*y + 5 for o. 1 Let r be (8/(-5))/((-2)/15). Let a(g) = -3*g + 38. Let x be a(r). Solve j - 3*v + v + 3 = 0, 5*j + 7 = x*v for j. -1 Let g(b) = -b**
{ "pile_set_name": "DM Mathematics" }
*v + 9 = 4*v + 3*o, v + 3*o - 9 = 0. Let m be ((-22)/(-9) - 2 - 0)/((-60946)/(-2949)). Is m at least v? True Let z = -23/77 - -1/77. Suppose -8*x = 2 + 38. Are x and z equal? False Suppose 26 = 12*l + 14. Let p be (-69)/(-114) - 2/4. Is l less than p? False Let z(a) = -a**3 + 8*a**2 - 8*a + 11. Let j be (7/3)/(3/9). Let h be z(j). Is 5 at most h? False Let j = 452 + -420.02. Let i = j + -32. Let w = 15/26 + -1/13. Is w less than i? False Suppose y - 2*m - 4 = 0, 2*m + 2 = 5*y - 2. Which is greater: 1/99 or y? 1/99 Suppose 2*v - 13 + 1 = 2*p, 4*v = -4*p + 32. Is v >= 4? True Let x be (1*5)/((-68)/(-68)). Is x > -20? True Let t = -841 + 815. Which is smaller: -17 or t? t Let w = 0.0688 - -6.7912. Let v = 0.14 + w. Let m = v + -7. Which is greater: -0.2 or m? m Let q = -30 + 57. Suppose -3*k = 2*x + q, 0*x - 4*x = -2*k + 14. Is x at most 0? True Suppose 500 = 3*t + 1319. Let u be (-18)/t*(13 + -6). Which is smaller: u or -1? -1 Let o = -28/5 + 664/115. Let f = -307/46 + o. Which is smaller: -8 or f? -8 Let j be ((-1)/(-2) + 0)/(18/(-36)). Let m(a) = -17*a**3 - 2*a**2 - 2*a. Let i be m(j). Which is smaller: 16 or i? 16 Suppose -30*p - 2*a + 10 = -27*p, 3*a - 15 = 4*p. Does p = 13/29? False Let f be (16/40 + (-2)/5)/2. Is f < -1/642? False Let t = 329 - 334. Is -4.7 >= t? True Let i(r) = 7*r + 16. Let k be i(-2). Suppose -3*t + 1 = y - 3*y, -t - k*y = 5. Which is bigger: t or 3/77? 3/77 Suppose -75*m + 4360 = -67*m. Which is smaller: 544 or m? 544 Suppose 2 + 2 = 2*w. Suppose -2*h - w*h + 4 = 0. Let j be 1 + 0 + h + -1. Which is smaller: 3 or j? j Let b(u) = u**2 + 2*u - 4. Let v be b(-6). Suppose -3*x - m = -16, 5*x = 3*m + 2*m + v. Let z be ((-1)/x)/(12/(-20)). Is -9 <= z? True Let o = 371 + -353. Is o > 15? True Let w(c) = 0*c**3 - 3*c**2 - c - c - 4 + c**3. Let a be w(4). Suppose 5*b - y + 3 = 0, 3*b - a*b + y = 3. Which is bigger: b or 0.1? 0.1 Let t be -1*4/12*-18. Suppose -l - l + t = 0. Suppose -r - 4*j - l = 0, r + j = -0*j. Which is smaller: -1 or r? -1 Let n = 23 + -18. Suppose -6 = 2*d + 4, -2*t + 41 = -5*d. Is n greater than t? False Let d = -39.6 + -0.4. Let r = 40.2 + d. Which is smaller: -31 or r? -31 Suppose 3*t + 54 = -3*a, -7 - 1 = a - 4*t. Suppose -3*b - 62 = -14. Are a and b equal? True Let p be 2/5 + 12/(-30). Let u = -36 - -36. Is u > p? False Let j = -46.4 + 9.2. Let m = 37 + j. Which is smaller: -5/3 or m? -5/3 Let j = -0.405 - -0.405. Is j at least -2/9? True Let q(f) = f**2 - 3*f - 2. Let n be q(4). Suppose 45 = 4*o + 1. Let s be (3/n)/(o/2). Are s and -1 nonequal? True Let b = 2.104 + -2.204. Is 51.1 >= b? True Let x be 2 - ((-3 - 0) + (-3 - -8)). Suppose -7*p - 2*p - 9 = x. Is -1 equal to p? True Let q be (1/2)/(9/144). Suppose q*f + 14 = -42. Which is smaller: -4 or f? f Let x = 393 - 394. Which is bigger: 113 or x? 113 Suppose -4*y = -3 - 1. Suppose 6 = z + 2. Let x be ((-2)/z)/(35/(-30)). Is x >= y? False Let f(x) = -11*x**3 + x**2 - 5*x + 8. Let d(h) = 5*h**3 + 2*h - 4. Let m(i) = 13*d(i) + 6*f(i). Suppose 2*b = 11 - 1. Let c be m(b). Are -2/25 and c nonequal? True Let i(t) be the third derivative of 7*t**4/24 - 23*t**3/3 + 23*t**2. Let w be i(17). Which is bigger: w or 72? w Suppose 0 = 5*t - a - 1, 10*t - 8*t + 2*a - 10 = 0. Which is bigger: t or 28? 28 Let i be 5 + (2/3)/((-19)/171). Is i at most -17/7? False Let f = 22.1 + -23. Let n = f - 6.1. Let s = 7 + n. Is s at most -3? False Suppose -5*n = -3*j - 155, n + 5*j + 4 - 35 = 0. Does 92/3 = n? False Let n be 0/(((-1)/(-1))/(5/(-5))). Suppose -2*w - 2*w - 4*k = n, 0 = -5*k - 5. Let q(c) = -c**2 - c - 13. Let g be q(0). Is g greater than or equal to w? False Let v be ((-154)/(-3) + 4)/(1/3). Suppose 22 = 3*n + 7, 3*y = -2*n + v. Is 52 less than or equal to y? True Let d(i) = -3*i**3 - 2*i**2 + i. Let u be d(1). Let x be (u - -1)*8/(-6). Suppose p + 1 = 3*o, x*p - p = -4*o + 10. Is 2 smaller than p? False Let z = 704 - 639. Which is bigger: 66 or z? 66 Let t be -1269 - (-1)/2*4. Let k be 2/(-10) + t/(-35). Let z be (-8)/k - (-47)/9. Which is smaller: z or 3? 3 Let v(n) = 3*n**2 + 3*n + 5. Let h(t) = -t**2 - t - 2. Let s(w) = -5*h(w) - 2*v(w). Let g be 0/1 - (1 + -1). Let f be s(g). Is f > 2/21? False Let z = 3 + -2. Suppose 47 = -2*y - 3*r, 2*y - 4*r = -27 - 41. Which is greater: z or y? z Let d = 8163 - 171467/21. Which is smaller: d or -2? d Let v = -80 - -91.2. Let r = -1.2 + v. Let i = r + -10. Which is smaller: i or -4? -4 Let l(y) = -y**3 + 9*y**2 + 18*y + 14. Let o be l(9). Which is smaller: o or 175? 175 Let p be (-10 + -24)*2/(-2). Suppose -2*s + 5*u - 1 + 9 = 0, -s - 5*u = -p. Which is smaller: 16 or s? s Let l be ((-4)/(-3))/((-10)/(-15)). Suppose -2*a - l = o, 0*a - 5*o = -4*a - 4. Do -7/5 and a have the same value? False Suppose 17*t + 13*t = 4*t. Is t at most -2/387? False Let k(y) be the first derivative of 13*y**3/3 + 3*y**2/2 + y + 16. Let d be k(-1). Which is smaller: 2 or d? 2 Let q(x) = -6*x. Let i be q(-3). Let g = -28 + i. Is g at least -11? True Suppose 0 = -4*f + 3*p + 4 - 3, 17 = -2*f + 5*p. Suppose -z + 0*z - f*n + 6 = 0, 5*n + 17 = -3*z. Suppose -x + 1 = 16. Which is greater: x or z? z Let j = -0.24 + 0.07. Let q = 0.15 + -0.15. Let v = j + q. Which is bigger: 2/7 or v? 2/7 Let c = 325 + -325.6. Which is bigger: 2/27 or c? 2/27 Suppose -9*v = -8*v. Suppose 10 + v = -2*n, 21 = 4*i + 3*n. Suppose 5*t + i = -3*k, 0 = 5*k + 3*t + 2 - 3. Which is smaller: 3 or k? k Let o be 24/(-30) - (-9)/5. Let w be 1*o*(1 + -2). Let s be (-236)/(-58) - (11 - 7). Are w and s non-equal? True Let j(n) = -n - 6. Let r be j(6). Let g = r - -13. Are g and -2/47 unequal? True Let a = -29.16 - -29. Let h = a + -0.84. Which is bigger: -3 or h? h Let k = 17.0422 - 0.0422. Let c = 13 - 14. Which is greater: k or c? k Let h(f) = -f**2 - 3*f + 4. Let q be h(-3). Suppose 6 = q*p + 2. Is -3/19 < p? True Let x be (0 - 1) + 1 + 6. Suppose -4*s = -352 + 376, -z = 5*s + 25. Does z = x? False Let y = 157439/2373 + -10/791. Which is smaller: y or 66? 66 Suppose -n + 7 = -x, 3*n - 11 = 5*x + 16. Suppose 4*v - 6*h + 2*h - 4 = 0, 0 = -3*v + h + 13. Suppose -8*u + v*u = n. Which is smaller: -0.1 or u? u Let r = -10.79 - 0.21. Let k = r - -11. Which is smaller: k or -2? -2 Let p = -25 - -24.01. Let n = 0.03 + p. Is n at least -0.1? False Let o = 148 - 445/3. Suppose 12 = k + 3*k. Which is smaller: o or k? o Suppose -3*c + 10 = -2. Suppose -3*i - c = -13. Let n be -2*(i - (-94)/(-31)). Is 1 not equal to n? True Suppose -3*d = -12, 2*w + 3*d - 12 = 4*w. Let t(p) = -p**3 + 4*p**2 - 2*p + 6. Let l be t(4). Let f be (0*(-2)/6)/l. Is w < f? False Suppose 3*w = q - 8 + 3, 2*w + 15 = 3*q. Is w at least 7/25? False Let n = 1372 - 1294. Which is bigger: 77 or n? n Let v be 4/7 + (-279)/868. Does -159 = v? False Let a = 421.1 - 421. Which is bigger: a or 5/97? a Let d = -14 - -9. Let j be (-1)/d - (-27)/(-60). Let w = -0.1 + 0.1. Is w equal to j? False Let r be 4*((-165)/82 - -2). Let v = 0.63 - 0.49. Let g = v - -0.86. Is r at least g? False Let n be (-21)/(-3) - (2 - 0). Suppose 314 = -n*a - 466. Let s be (-6)/(-27) + a/(-27). Which is smaller: s or 2? 2 Let k be 1/(-4)*((-1515)/215 + 7). Let i be (3 - 3)/(35/(-7)). Which is smaller: i or k? i Let k = -1937.35 + 1938. Which is smaller: k or 5? k Let n = -515 + 515. Is -1/4 less than or equal to n? True Let z = -32424/5 - -13715354/2115. Which is smaller: 0 or z? 0 Let w = -6 + -2. Let a = 4 + w. Which is bigger: 1/3 or a? 1/3 Let m be 8/6 + (-3)/3. Let y be 783/2710*(-22)/(-33). Let c = y - -2/271. Which is greater: m or c? m Let n be 1 + (-2 + -22)/(-2). Let g(o) = -o**2 + 2*o - 48. Let u be g(0). Let s = 61 + u. Do n and s have the same value? True Suppose -10*m = -150 - 60. Is m equal to 19? False Suppose -3*m - 3 = -2*p - 0, -10 = -4*p + 2*m. Suppose 20 = p*r + r. Suppose l - t + 5 = 0, -4 + 27 = -r*l + 3*t. Is l less than or equal to -4? True Let p(k) = k**3 - 7*k**2 - 6*k + 5. Let c be p(6). Let n = 41 + c. Let q = n + 14. Is q smaller than -11? True Suppose -5*f = -6*f - 16. Let d = f - -4. Let l be d/(-12)*1/1. Is 11 smaller than l? False Let h be 3 - (4/(-4))/(621/(-1671)). Let n = -2/9 + h. Suppose 0 = -4*f + 3*f + 1. Is f less than n? False Let d = 16/3909 - -1692437/39090. Which is greater: 44 or d? 44 Suppose -3*y = -2*b -
{ "pile_set_name": "DM Mathematics" }
208*j**4 + 56775*j**3 - 485154*j**2 + 332160*j + 98400 = 0 for j. -2/9, 1, 20, 41 Factor 3*h**4 + 73458*h**3 + 440676*h**2 + 881304*h + 587520. 3*(h + 2)**3*(h + 24480) Suppose -i**2/3 + 185*i = 0. What is i? 0, 555 Solve d**4/2 + 1127*d**3/2 + 158484*d**2 - 159048*d = 0. -564, 0, 1 Factor -2*y**2/17 + 7040*y - 478688/17. -2*(y - 59836)*(y - 4)/17 Factor r**3/6 + 2077*r**2/2 + 1615124*r - 24304810/3. (r - 5)*(r + 3118)**2/6 Factor 2*s**3/15 - 26*s**2 - 396*s/5. 2*s*(s - 198)*(s + 3)/15 Find q such that 3*q**2/4 - 6051*q + 12204867 = 0. 4034 Solve -3*d**2/5 - 4255518*d/5 - 1509119454027/5 = 0. -709253 Factor 2*b**3 + 59*b**2/4 - 43*b/4 - 6. (b - 1)*(b + 8)*(8*b + 3)/4 Factor 4*g**3 - 11228*g**2 + 22444*g - 11220. 4*(g - 2805)*(g - 1)**2 Factor -2*n**2/9 - 176*n/3 + 360. -2*(n - 6)*(n + 270)/9 Find n, given that 2*n**2 - 250*n + 6188 = 0. 34, 91 Suppose -2*o**3 + 760*o**2 - 77226*o + 937692 = 0. Calculate o. 14, 183 Factor 14*c**2 + 105990*c - 30284. 2*(c + 7571)*(7*c - 2) Let 2*m**3/9 + 214*m**2 + 18772*m/9 - 30496 = 0. What is m? -953, -18, 8 Determine b so that 2*b**3 + 6646*b**2 + 13268*b - 53136 = 0. -3321, -4, 2 Factor -s**3/2 + 641*s**2 - 120980*s. -s*(s - 1052)*(s - 230)/2 Factor 2*j**2/3 + 848*j/3 + 1946. 2*(j + 7)*(j + 417)/3 Factor v**3/3 + 43*v**2/3 + 370*v/3 + 192. (v + 2)*(v + 9)*(v + 32)/3 Factor n**4/5 - 257*n**3/5 + 506*n**2/5 + 1028*n/5 - 408. (n - 255)*(n - 2)**2*(n + 2)/5 Factor -b**2/5 - 481*b/5 - 22684/5. -(b + 53)*(b + 428)/5 Suppose h**5/2 - 15*h**4 + 255*h**3/2 - 365*h**2 + 252*h = 0. Calculate h. 0, 1, 4, 7, 18 Factor -4*c**2 + 936920*c - 54863692900. -4*(c - 117115)**2 Let -c**2/8 - 3174*c - 12695/2 = 0. What is c? -25390, -2 Suppose -2*f**5 + 20*f**4 - 38*f**3 - 52*f**2 + 184*f - 112 = 0. What is f? -2, 1, 2, 7 Suppose 39*t**4 - 116*t**3 - 79*t**2 + 464*t - 308 = 0. What is t? -2, 1, 77/39, 2 Determine x so that 2*x**2/13 - 524*x/13 + 25344/13 = 0. 64, 198 Find a such that -a**4 - 37*a**3 + 5959*a**2 - 17603*a + 11682 = 0. -99, 1, 2, 59 Solve -5*f**3 + 615*f**2 - 1210*f = 0 for f. 0, 2, 121 Determine g, given that 4*g**3 - 30992*g**2 - 496640*g - 1987584 = 0. -8, 7764 Find b, given that -4*b**5/3 + 515*b**4/3 - 6076*b**3 + 106591*b**2/3 - 188978*b/3 + 29768 = 0. 3/4, 2, 4, 61 Factor 2*b**2 - 368*b + 3806. 2*(b - 173)*(b - 11) Factor 2*n**2/3 + 11981*n/3 - 1997. (n + 5991)*(2*n - 1)/3 Determine u, given that -u**5/2 + 107*u**4 - 630*u**3 + 1252*u**2 - 832*u = 0. 0, 2, 208 Let 2*n**4/5 - 136*n**3/5 + 1734*n**2/5 - 7848*n/5 + 11448/5 = 0. What is n? 3, 6, 53 Factor -2*v**2/3 + 232*v/3 + 238. -2*(v - 119)*(v + 3)/3 Solve 3*k**2 + 52575*k - 2319108 = 0 for k. -17569, 44 Factor -4*g**4/3 + 65284*g**3/3 - 130556*g**2/3 + 65276*g/3. -4*g*(g - 16319)*(g - 1)**2/3 Let -t**4/6 - 3*t**3/2 + 2216*t**2/3 - 2920*t = 0. What is t? -73, 0, 4, 60 Factor m**4 + 436*m**3 + 56160*m**2 + 1767728*m - 3763600. (m - 2)*(m + 50)*(m + 194)**2 Suppose 25*v**3 - 6785*v**2 - 149210*v - 341640 = 0. What is v? -18, -13/5, 292 Factor 3*f**5/5 + 186*f**4/5 + 756*f**3 + 23814*f**2/5 - 27783*f/5. 3*f*(f - 1)*(f + 21)**3/5 Factor -q**3 - 53*q**2 + 674*q - 1920. -(q - 6)*(q - 5)*(q + 64) Factor -4*p**3 - 56500*p**2 - 199543872*p - 199487376. -4*(p + 1)*(p + 7062)**2 Find c, given that 5*c**4/2 - 9395*c**3 + 37550*c**2 - 37540*c = 0. 0, 2, 3754 Determine c, given that -3*c**2 + 12351*c + 161070 = 0. -13, 4130 Let 5*r**2 + 9116360*r + 4155400982480 = 0. Calculate r. -911636 Determine x, given that -1600*x**5 - 5520*x**4 + 12384*x**3 + 54972*x**2 + 18144*x - 47628 = 0. -3, -21/10, 3/4, 3 Find g, given that 2*g**3/9 - 350*g**2/9 - 12736*g/9 - 11776 = 0. -16, 207 Determine h, given that 2*h**5/3 + 2804*h**4/3 + 5602*h**3/3 + 2800*h**2/3 = 0. -1400, -1, 0 Let -z**3/3 - 4103*z**2 - 57393*z - 602455/3 = 0. Calculate z. -12295, -7 Solve 4*z**4/3 + 1364*z**3 + 32404*z**2/3 - 25700*z + 40600/3 = 0 for z. -1015, -10, 1 Solve 96*q**4 - 369*q**3 + 324*q**2 + 60*q = 0. -5/32, 0, 2 Factor -g**5 - 1073*g**4 - 241640*g**3 - 15542800*g**2. -g**2*(g + 140)**2*(g + 793) Suppose 4*k**4/13 - 446*k**3/13 - 2074*k**2/13 - 1636*k/13 + 1392/13 = 0. Calculate k. -3, -2, 1/2, 116 Factor 15*j**3 + 10190*j**2 - 6800*j. 5*j*(j + 680)*(3*j - 2) Let 2*p**2/13 - 188*p + 310464/13 = 0. What is p? 144, 1078 Factor -2*c**2 - 28936*c + 57880. -2*(c - 2)*(c + 14470) Factor 3*g**3/5 - 95937*g**2/5 + 767232117*g/5 - 766752507. 3*(g - 15987)**2*(g - 5)/5 Factor 2*m**2/3 + 19957*m/2 + 14967/2. (m + 14967)*(4*m + 3)/6 Factor 25*j**3/3 + 228140*j**2/3 + 173477655*j - 69403230. 5*(j + 4563)**2*(5*j - 2)/3 Factor 18*d**3/7 + 284*d**2/7 + 926*d/7 - 220/7. 2*(d + 5)*(d + 11)*(9*d - 2)/7 Suppose -2*h**3/5 + 366*h**2/5 - 5784*h/5 + 4648 = 0. What is h? 7, 10, 166 Let 2*g**4/5 + 12*g**3 + 70*g**2 + 132*g + 368/5 = 0. Calculate g. -23, -4, -2, -1 Suppose -f**2 + 164*f - 2880 = 0. Calculate f. 20, 144 Factor -j**3/3 + 110*j**2/3 - 2417*j/3 - 2528/3. -(j - 79)*(j - 32)*(j + 1)/3 Find a such that a**5/2 + 66*a**4 + 1612*a**3 + 12401*a**2 + 40455*a/2 + 9373 = 0. -103, -14, -13, -1 Suppose -5*m**3 - 3455*m**2 - 402280*m + 818420 = 0. What is m? -542, -151, 2 Factor 2*u**2/11 - 52300*u/11 + 341911250/11. 2*(u - 13075)**2/11 Determine c so that 2*c**2/7 + 4734*c/7 - 76256/7 = 0. -2383, 16 Find q such that -q**4/3 - 830*q**3/3 - 824*q**2/3 + 4142*q/3 - 829 = 0. -829, -3, 1 Factor -2*z**4 - 116*z**3 - 2050*z**2 - 10000*z. -2*z*(z + 8)*(z + 25)**2 Suppose o**4/6 + 8225*o**3/6 + 8458384*o**2/3 + 8454272*o/3 = 0. Calculate o. -4112, -1, 0 Find g, given that -g**2/2 - 8615*g - 120561/2 = 0. -17223, -7 Let -3*a**4/4 + 61*a**3/2 - 197*a**2/4 + 39*a/2 = 0. What is a? 0, 2/3, 1, 39 What is x in 5*x**2 + 220945*x = 0? -44189, 0 What is i in -5*i**5/2 + 195*i**4 - 1385*i**3/2 - 143250*i**2 + 143750*i = 0? -23, 0, 1, 50 Factor -15*p**2 - 375696*p + 375711. -3*(p - 1)*(5*p + 125237) Factor 2*b**2 + 40832*b - 40834. 2*(b - 1)*(b + 20417) Factor -2*u**2 - 15326*u + 477028. -2*(u - 31)*(u + 7694) Factor -13*a**2 + 505*a - 418. -(a - 38)*(13*a - 11) Factor -3*h**4 - 11991*h**3 - 11988*h**2. -3*h**2*(h + 1)*(h + 3996) Factor -3*x**2/4 + 1329*x/2 + 73953/4. -3*(x - 913)*(x + 27)/4 Factor 3*k**3 - 6993*k**2 - 148014*k - 381024. 3*(k - 2352)*(k + 3)*(k + 18) Suppose -2*z**3 + 258*z**2 - 5166*z - 142290 = 0. What is z? -15, 51, 93 Suppose 2*x**4 + 316*x**3/5 + 2122*x**2/5 + 648*x - 1656/5 = 0. What is x? -23, -6, -3, 2/5 Find r, given that -11*r**3/4 + 139*r**2/2 - 464*r + 672 = 0. 2, 8, 168/11 Let -z**2 - 836*z + 25980 = 0. Calculate z. -866, 30 Let 57*h**5 - 432*h**4 + 84*h**3 + 1062*h**2 - 141*h - 630 = 0. Calculate h. -1, 1, 30/19, 7 Factor q**2/2 - 2067*q/2 - 35717. (q - 2101)*(q + 34)/2 Find r such that 3*r**3 + 1617*r**2 + 155250*r = 0. -414, -125, 0 Find g, given that g**2/5 + 6340*g + 50244500 = 0. -15850 Factor 2*t**2/9 - 39052*t/9 + 190632338/9. 2*(t - 9763)**2/9 Solve -3*q**3/5 - 471*q**2 - 607389*q/5 - 51251853/5 = 0 for q. -293, -199 Suppose 5*u**3 + 225*u**2 + 2730*u + 4600 = 0. What is u? -23, -20, -2 Suppose 6*x**4 - 544*x**3/5 - 5958*x**2/5 - 4656*x/5 + 728/5 = 0. Calculate x. -7, -1, 2/15, 26 Determine j, given that 3*j**4 - 1200*j**3 + 18549*j**2 - 44928*j = 0. 0, 3, 13, 384 Suppose k**4/2 + 147*k**3/2 - 699*k**2 + 476*k + 1248 = 0. What is k? -156, -1, 2, 8 Let -2*n**4 - 64*n**3 + 146*n**2 + 2416*n - 7392 = 0. Calculate n. -33, -7, 4 Determine b, given that -b**5/2 - 913*b**4/2 + 1833*b**3/2 + 2745*b**2/2 = 0. -915, -1, 0, 3 Find a such that 2*a**3 + 2554*a**2 + 12708*a - 15264 = 0. -1272, -6, 1 Factor -2*a**3 + 66*a**2 - 544*a + 480. -2*(a - 20)*(a - 12)*(a - 1) Determine f, given that 2*f**5 + 304*f**4/7 + 920*f**3/7 - 288*f**2/7 = 0. -18, -4, 0, 2/7 Determine n, given that n**4 - 89*n**3 + 2199*n**2 - 13311*n = 0. 0, 9, 29, 51 Find n, given that 2*n**3/13 - 2552*n**2/13 + 814088*n/13 = 0. 0, 638 Solve -62*n**3/11 - 436*n**2/11 - 386*n/11 - 12/11 = 0 for n. -6, -1, -1/31 Factor -2*i**2 - 1406*i/5 - 1512. -2*(i + 135)*(5*i + 28)/5 Find p such that p**3/3 - 1799*p**2/3 + 26744*p/3 + 28544/3 = 0. -1, 16, 1784 Let -4*y**5 + 8*y**4 + 56*y**3 - 96*y**2 - 180*y + 216 = 0. Calculate y. -3, -2, 1, 3 Factor -35*s**2 + 272910*s - 545680. -5*(s - 2)*(7*s - 54568) Suppose 3*u**5 - 10665*u**4 + 9610986*u**3 - 235623294*u**2
{ "pile_set_name": "DM Mathematics" }
e there between 4:12 PM and 9:32 PM? 320 What is 128 minutes after 2:25 PM? 4:33 PM How many minutes are there between 6:34 PM and 2:42 AM? 488 How many minutes are there between 7:29 PM and 3:22 AM? 473 How many minutes are there between 10:23 PM and 4:22 AM? 359 What is 623 minutes before 12:45 PM? 2:22 AM How many minutes are there between 2:41 AM and 9:35 AM? 414 How many minutes are there between 12:31 PM and 4:28 PM? 237 What is 104 minutes before 7:45 PM? 6:01 PM How many minutes are there between 10:39 PM and 9:23 AM? 644 How many minutes are there between 11:15 PM and 9:32 AM? 617 How many minutes are there between 12:44 AM and 4:07 AM? 203 How many minutes are there between 6:19 AM and 8:19 AM? 120 What is 313 minutes after 11:43 AM? 4:56 PM What is 669 minutes after 3:38 AM? 2:47 PM How many minutes are there between 1:52 AM and 6:35 AM? 283 How many minutes are there between 2:24 AM and 12:54 PM? 630 What is 525 minutes before 11:35 AM? 2:50 AM What is 680 minutes before 7:00 PM? 7:40 AM How many minutes are there between 5:55 PM and 5:14 AM? 679 What is 485 minutes before 10:39 AM? 2:34 AM What is 11 minutes after 4:46 AM? 4:57 AM What is 19 minutes after 3:43 PM? 4:02 PM How many minutes are there between 9:16 AM and 11:11 AM? 115 How many minutes are there between 3:03 PM and 1:50 AM? 647 How many minutes are there between 12:52 PM and 10:08 PM? 556 How many minutes are there between 5:40 PM and 3:51 AM? 611 How many minutes are there between 10:29 AM and 6:11 PM? 462 What is 423 minutes after 12:30 PM? 7:33 PM What is 137 minutes after 7:17 AM? 9:34 AM How many minutes are there between 2:56 AM and 12:38 PM? 582 What is 466 minutes after 9:26 AM? 5:12 PM What is 264 minutes after 7:47 AM? 12:11 PM What is 661 minutes before 8:49 AM? 9:48 PM How many minutes are there between 12:42 PM and 11:51 PM? 669 What is 12 minutes before 2:38 AM? 2:26 AM What is 664 minutes after 12:56 PM? 12:00 AM How many minutes are there between 8:42 PM and 7:05 AM? 623 What is 549 minutes after 12:11 PM? 9:20 PM What is 662 minutes before 7:05 PM? 8:03 AM How many minutes are there between 3:17 AM and 1:48 PM? 631 What is 159 minutes before 7:50 AM? 5:11 AM How many minutes are there between 3:52 AM and 2:15 PM? 623 How many minutes are there between 5:41 PM and 1:18 AM? 457 What is 428 minutes after 2:52 PM? 10:00 PM How many minutes are there between 6:38 AM and 3:47 PM? 549 What is 702 minutes after 7:28 PM? 7:10 AM How many minutes are there between 8:46 AM and 9:05 AM? 19 How many minutes are there between 1:33 PM and 10:50 PM? 557 How many minutes are there between 2:28 AM and 4:45 AM? 137 What is 185 minutes after 8:41 AM? 11:46 AM What is 360 minutes before 3:53 AM? 9:53 PM What is 592 minutes after 2:56 PM? 12:48 AM What is 641 minutes after 4:22 PM? 3:03 AM How many minutes are there between 4:35 AM and 12:11 PM? 456 How many minutes are there between 10:38 PM and 12:45 AM? 127 How many minutes are there between 3:18 AM and 12:21 PM? 543 What is 90 minutes before 12:37 PM? 11:07 AM What is 715 minutes before 4:30 AM? 4:35 PM What is 322 minutes after 6:44 PM? 12:06 AM How many minutes are there between 12:26 PM and 3:43 PM? 197 What is 386 minutes before 9:44 AM? 3:18 AM What is 448 minutes after 9:40 PM? 5:08 AM What is 405 minutes before 12:31 AM? 5:46 PM How many minutes are there between 6:57 AM and 9:35 AM? 158 How many minutes are there between 6:01 PM and 12:00 AM? 359 What is 525 minutes after 2:01 AM? 10:46 AM What is 715 minutes before 5:07 PM? 5:12 AM How many minutes are there between 2:09 AM and 10:32 AM? 503 What is 186 minutes after 4:02 AM? 7:08 AM How many minutes are there between 12:39 AM and 5:57 AM? 318 How many minutes are there between 1:26 PM and 12:38 AM? 672 What is 507 minutes before 2:55 AM? 6:28 PM What is 387 minutes after 9:55 AM? 4:22 PM What is 101 minutes after 11:05 AM? 12:46 PM How many minutes are there between 1:43 AM and 9:54 AM? 491 What is 77 minutes after 2:43 PM? 4:00 PM How many minutes are there between 1:41 AM and 3:09 AM? 88 What is 136 minutes before 7:41 AM? 5:25 AM What is 473 minutes before 12:14 AM? 4:21 PM How many minutes are there between 9:27 PM and 12:56 AM? 209 How many minutes are there between 9:39 PM and 11:54 PM? 135 How many minutes are there between 1:31 AM and 1:18 PM? 707 How many minutes are there between 7:32 PM and 10:28 PM? 176 How many minutes are there between 10:02 AM and 5:26 PM? 444 What is 77 minutes after 7:45 PM? 9:02 PM How many minutes are there between 9:27 PM and 3:09 AM? 342 What is 50 minutes after 5:58 AM? 6:48 AM How many minutes are there between 4:19 AM and 12:11 PM? 472 How many minutes are there between 11:53 PM and 12:05 AM? 12 How many minutes are there between 8:52 PM and 8:08 AM? 676 What is 27 minutes before 6:12 PM? 5:45 PM What is 568 minutes before 5:03 AM? 7:35 PM How many minutes are there between 12:50 PM and 5:27 PM? 277 What is 104 minutes before 10:00 PM? 8:16 PM What is 39 minutes before 1:53 PM? 1:14 PM What is 33 minutes before 10:48 AM? 10:15 AM How many minutes are there between 11:56 AM and 1:07 PM? 71 How many minutes are there between 6:32 PM and 10:43 PM? 251 How many minutes are there between 1:05 PM and 5:42 PM? 277 How many minutes are there between 8:58 PM and 7:08 AM? 610 How many minutes are there between 2:29 AM and 12:26 PM? 597 What is 599 minutes after 6:36 PM? 4:35 AM What is 707 minutes after 3:50 PM? 3:37 AM What is 167 minutes before 1:17 PM? 10:30 AM What is 302 minutes after 5:46 AM? 10:48 AM How many minutes are there between 4:53 AM and 10:17 AM? 324 What is 630 minutes after 8:17 AM? 6:47 PM How many minutes are there between 7:41 PM and 1:23 AM? 342 How many minutes are there between 5:37 PM and 2:22 AM? 525 How many minutes are there between 2:59 PM and 11:11 PM? 492 What is 682 minutes after 10:31 AM? 9:53 PM What is 549 minutes after 4:45 PM? 1:54 AM How many minutes are there between 4:22 PM and 8:56 PM? 274 How many minutes are there between 6:24 PM and 4:31 AM? 607 How many minutes are there between 3:54 AM and 9:35 AM? 341 What is 77 minutes before 2:55 AM? 1:38 AM What is 279 minutes after 4:35 PM? 9:14 PM What is 692 minutes before 2:22 AM? 2:50 PM How many minutes are there between 5:58 AM and 5:44 PM? 706 What is 260 minutes before 2:53 AM? 10:33 PM What is 359 minutes after 3:06 AM? 9:05 AM How many minutes are there between 12:28 AM and 12:08 PM? 700 How many minutes are there between 4:29 AM and 10:41 AM? 372 What is 532 minutes after 8:58 AM? 5:50 PM What is 171 minutes after 6:28 PM? 9:19 PM What is 641 minutes after 9:02 PM? 7:43 AM How many minutes are there between 2:00 AM and 12:55 PM? 655 How many minutes are there between 7:05 AM and 5:36 PM? 631 What is 274 minutes after 12:34 AM? 5:08 AM What is 223 minutes before 12:24 AM? 8:41 PM How many minutes are there between 5:30 AM and 4:25 PM? 655 How many minutes are there between 8:30 PM and 3:14 AM? 404 What is 553 minutes before 8:06 PM? 10:53 AM How many minutes are there between 10:32 PM and 10:41 PM? 9 How many minutes are there between 5:42 PM and 9:05 PM? 203 How many minutes are there between 3:23 AM and 10:35 AM? 432 What is 300 minutes before 11:53 AM? 6:53 AM How many minutes are there between 8:24 PM and 9:55 PM? 91 What is 655 minutes before 9:55 PM? 11:00 AM What is 473 minutes after 12:52 PM? 8:45 PM How many minutes are there between 3:38 PM and 1:27 AM? 589 What is 344 minutes before 9:05 PM? 3:21 PM What is 453 minutes after 1:54 PM? 9:27 PM What is 135 minutes before 8:14 AM? 5:59 AM What is 517 minutes after 3:51 AM? 12:28 PM How many minutes are there between 7:35 PM and 7:03 AM? 688 What is 141 minutes after 9:15 PM? 11:36 PM What is 702 minutes after 6:54 AM? 6:36 PM What is 148 minutes after 7:06 AM? 9:34 AM What is 141 minutes after 4:56 PM? 7:17 PM What is 559 minutes before 2:25 PM? 5:06 AM What is 88 minutes before 9:20 PM? 7:52 PM How many minutes are there between 9:41 AM and 10:14 AM? 33 How many minutes are there between 8:14 AM and 10:36 AM? 142 What is 691 minutes before 1:31 AM? 2:00 PM What is 313 minutes after 6:12 PM? 11:25 PM What is 209 minutes before 1:38 AM? 10:09 PM How many minutes are there b
{ "pile_set_name": "DM Mathematics" }
*m - 2033268 = -703047 + 2002812. What is the tens digit of m? 4 Let k be 1/((-8)/12)*(-3360)/9. Suppose -3*v = -6*v + 9. Suppose -v*w - w + k = 0. What is the units digit of w? 0 Suppose -2*g + 105 = 15. Suppose 5*i + 4*w - g = 0, 5*i + 2*w = 2 + 33. Suppose 1282 = i*s + 307. What is the tens digit of s? 9 Let b = 57484 - 28024. What is the units digit of b? 0 Let g(w) be the second derivative of -2*w**3 - 21*w**2 + 9*w. Let f be g(17). What is the units digit of 12/28 + f/(-14)? 8 Let f(q) = 10*q**2 + 14*q + 13. Let u be f(19). What is the hundreds digit of (-6)/(-144)*-4 + u/6? 6 Let g = -21684 + 99237. What is the thousands digit of g? 7 Let t(l) = -3*l + 3. Let x be t(0). What is the tens digit of x/(-2)*((-764)/3 - -2)? 7 What is the hundreds digit of 2007309/102 + ((-15)/2)/(-3)? 6 Let t(a) = -1306*a**3 - 40*a**2 - 130*a - 13. What is the hundreds digit of t(-3)? 2 Let i be 22/(-55)*(-20)/2. Suppose -n = -i*v + 2804 + 1923, 4*n - 4 = 0. What is the tens digit of v? 8 Suppose -2*r + 454 = -624. Let s = 1151 - r. Suppose -q + s = 5*q. What is the units digit of q? 2 Suppose j = -3*a + 18, -5*j - 8 = 4*a - 43. Suppose 45 = 4*x + a*x. Suppose -4*s - 45 = -x*o, 0*s + 45 = 5*o + 2*s. What is the units digit of o? 9 Suppose 61790 = 4*k - 21530. What is the hundreds digit of k? 8 Let p = -17 - -19. Suppose -624 = -p*q - 4*q. Let n = -66 + q. What is the tens digit of n? 3 Let v = -11 - -13. Suppose -478 = -v*p - 98. Suppose -3*q + 280 = 2*l, 3*q - q - p = 2*l. What is the units digit of q? 4 Let x = 11 - 12. Let h = x + 1. Suppose 3*f + v + 2 = h, -4*f - 3*v - 16 = v. What is the units digit of f? 1 Let j(k) be the second derivative of k**4 - k**3/3 - 7*k**2 + 8*k. What is the hundreds digit of j(-6)? 4 Let i = 51773 + -34949. What is the ten thousands digit of i? 1 Let q = 21 + 1. Let d(a) = 5*a**2 - a**2 + q - 6 - 3*a**2 + 7*a. What is the tens digit of d(-7)? 1 Let n(a) = -20*a + 30. Let v be n(7). Let o be (-460)/v + 2/(-11). What is the hundreds digit of o/(-5) - (-1424)/5? 2 Let d = 79605 - 39338. What is the thousands digit of d? 0 Let p = -373 + 373. Suppose p = -4*j + 7*o - 2*o + 2457, o = 3. What is the tens digit of j? 1 Let z(w) = -3*w**3 + 4*w**2 + 3*w + 17. Let j(d) = -5*d**2 + 9*d + 8. Let i be j(-1). What is the units digit of z(i)? 1 Let u = -9 + 19. Let f = u - 8. Suppose -480 = -4*o + 2*k, -114 = f*o - 3*o - k. What is the hundreds digit of o? 1 Let i(w) be the second derivative of 1/10*w**5 - 5/12*w**4 - 5/6*w**3 + 0 - 3*w + 4*w**2. What is the hundreds digit of i(5)? 1 Let p = -3290 + 19983. What is the hundreds digit of p? 6 Let w(z) = 3*z + 1 + z**2 + 30*z**2 + 3*z**2 + 6*z**3 - 24*z**3 - 30*z**2. Let d = -5 - -3. What is the tens digit of w(d)? 5 Suppose 5*k + 37 = 27, -71296 = -2*s - 4*k. What is the ten thousands digit of s? 3 Let a be (-22)/(-3) + (-5)/15. Suppose 2*q - 27 = -a*q. Suppose 0 = -2*r + 1 + 3, q*r = -3*w + 537. What is the units digit of w? 7 Let k = 159893 + -103016. What is the hundreds digit of k? 8 Suppose -2*z - 7*r + 11*r = -330, r = -2*z + 335. Let k = z - 161. What is the units digit of k? 6 Suppose -y - 4 = -2*q, 0 = -12*q + 8*q + 16. Suppose 0 = 3*k - 7 - 269. Suppose -y*x + x + 4*v = -290, x = -v + k. What is the tens digit of x? 9 Let g(w) = 4*w - 1. Let v(j) = j. Let r(t) = -g(t) + 3*v(t). Let q be r(-9). Let p(n) = -n**2 + 17*n + 6. What is the units digit of p(q)? 6 Let t(y) = 142*y**3 + 4*y**2 - 178*y + 1152. What is the units digit of t(7)? 8 Suppose 0 = -o - 6 + 15. Suppose 21*y = -o*y + 12510. What is the tens digit of y? 1 Suppose -4*n = -5*s - 32, -4*n + 23 - 3 = -2*s. What is the tens digit of s/((-32)/354) - 60/(-80)? 4 Let i = 605 - 603. Suppose -3*x = i*h - 947, 5*h - x = -5*x + 2350. What is the hundreds digit of h? 4 Suppose x = 225 - 221. What is the units digit of 13/2 - (x + -7)/(-6)? 6 Suppose 3*w - 2*l + 350 = 0, 4*w + 310 + 158 = 3*l. Let k be (6/(-18))/((-2)/w). What is the tens digit of (-8)/(-76) + (-1100)/k? 5 Let w be 1 - (55 + 4 + -4). Let j = w + 59. Suppose -425 = 3*i - 7*i - 3*d, 5 = -j*d. What is the tens digit of i? 0 Let x be 10/(-6) + (-14)/(-21). Let q be 300/44 + 4/(-22)*x. Suppose -4*z - 9*a = -q*a - 60, 60 = 4*z - 2*a. What is the units digit of z? 5 Suppose -a + 3655 = -2020. What is the thousands digit of a? 5 Suppose b - 4*z + 81 = 0, -b + 5*b = -2*z - 360. Let s = 270 + b. What is the tens digit of s? 8 Let d = 104 - 130. What is the units digit of (-1 - 30/4)*(d - -24)? 7 Let y(h) = 1039*h**2 + 33*h - 218. What is the units digit of y(6)? 4 Suppose 1196*k - 1197*k = -7119. What is the thousands digit of k? 7 Let v be 2 + 14/4 - 9/(-6). Suppose v*u - 8*u + 5 = 0. Suppose u*d = 0, -48 - 72 = -w + d. What is the hundreds digit of w? 1 Suppose 65*s - 39*s - 125892 = 0. What is the units digit of s? 2 Let m = 594 - 527. Suppose r - 499 - m = 0. What is the units digit of r? 6 Let r(q) = 72*q - 87. Let b(f) = -f**3 - 4*f**2 - 4*f + 2. Let c be b(-3). What is the tens digit of r(c)? 7 Suppose -3*m + 4 = m. Let z(d) = 461*d**3 - 2*d**2 + 3*d - 1. Let w be z(m). What is the tens digit of w/7 + 1/7? 6 Let g = 35223 + -7703. What is the units digit of g? 0 Suppose 3*s - 73326 = -y, -6*s + 3*y = -8*s + 48898. What is the ten thousands digit of s? 2 Let r be (-25*5/2)/(2/52). What is the units digit of (r/45)/(-5) + 2/(-9)? 7 Let y(m) = 5*m**3 - 13*m**2 - 97*m + 128. What is the tens digit of y(18)? 3 Let y(s) = 32*s - 661*s - 10 + 21 + 33 - 353*s. What is the thousands digit of y(-1)? 1 Let y = 39195 + -20611. What is the tens digit of y? 8 Suppose -4*a = 1129 + 1271. Let f = 160 - a. What is the units digit of f? 0 Let t = 311 + -288. Suppose -590 = -t*u + 29356. What is the hundreds digit of u? 3 Let p(q) = 10 - 14 + 3 + q. Let h(a) = -a**3 - 13*a**2 + 15*a + 25. Let o(j) = -h(j) - 5*p(j). What is the units digit of o(-14)? 4 Let q(h) = 5*h**2 + 3*h - h - 6 - h + 22*h**3. Suppose 3*y = -3*w + 12, w = -5*y + 3*y + 6. What is the tens digit of q(w)? 9 Let z = -4331 - -2417. Let a = z - -3578. What is the hundreds digit of a? 6 Let h = 16754 + -3070. What is the tens digit of h? 8 Suppose 0 = -o + 3*u + 1261, 5*o - 3*u + 968 = 7309. Let q = 1821 - o. What is the tens digit of q? 5 Let l = -99 + 92. Let j be (-18)/(-45) + 5/((-50)/(-1476)). Let v = l + j. What is the hundreds digit of v? 1 Let q(x) = 14541*x**3 - 2*x**2 + 9*x - 8. What is the ten thousands digit of q(1)? 1 Let g = 23 - 29. Let a be (g/(-5))/(2/235). Let f = 221 - a. What is the tens digit of f? 8 Suppose 4*i - 8038 - 13707 = y, 0 = -3*y - 3. What is the hundreds digit of i? 4 Suppose 559 = -14*t + 3401. Let p = t + -202. What is the units digit of p? 1 Suppose 1700996 = -510*u + 554*u. What is the ten thousands digit of u? 3 Let r = -4265 + 6589. What is the hundreds digit of r? 3 Let f = 2 + 1. Let p(h) = 132*h + 5. What is the hundreds digit of p(f)? 4 Let u(m) = 401*m + 34. Let k = 326 - 324. What is the tens digit of u(k)? 3 Suppose 2*q - 3*q = -3*m + 30, 5*m + q = 58. Suppose -m*r + 0*r = -2332. What is the hundreds digit of r? 2 Suppose 268*p - 263*p = 25545. What is the hundreds digit of p? 1 Suppose 25*o = -14*o + 42*o - 10407. What is the units digit of o? 9 What is the ten thousands digit of (-26)/(1248/(-700788)) + 5/4? 1 Suppose 0*c + 5*t = -c + 16, 2 = c - 2*t. What is the units digit of 0 - (5 - c)*53? 3 Let s be (2/(-7))/(-2)*(0 + 7). Let l be (s + -10)/((-7)/((-28)/(-6))). Let y(t) = -t**3 + 9*t**2 - 8*t + 11. What is the tens digit of y(l)? 7 Let w(r) be the first derivative of -3*r**2/2 + 95*r - 10. Let p be w(0). Suppose -2*t - b + p = -0*b, -5*b = 2*t - 99. What is the units digit of t? 7 Suppose 0 = -12*m + 146 - 146. Suppose -k + 1357 = 4*r - 48, -r + 3*k + 361 = m. What is the hundreds digit of r? 3 Let h(a) = -9*a - 16. Let l(u) = 4*u. Let d be l(2). Let q = d + -11. What is the units digit of h(q)? 1 Let q be (-5 + 3)/(-2)*143. Suppose 8*g = q + 673. What is the hundreds digit of 8/(-12)*g*-2? 1 Let v = -376 - -3333. Suppose 3*c - v = -4*h, h - c - 119 = 615. What is the hundreds digit of h? 7 Suppose 0 = 14*t - 7*t - 5922. Suppose -4*v + 7*v = t. Let p = v - 137. What is the hundreds digit of p? 1 Let y be 5 + -6 + (-21762)/2. Let w be 4/6 - y/3. Suppose 1384 = -11*n
{ "pile_set_name": "DM Mathematics" }
36 - 4*h**2 - 9*h**2 + n*h**2 wrt h? 34*h Let n(m) be the first derivative of -47*m**6/6 + 26*m**2 + 29. Find the second derivative of n(d) wrt d. -940*d**3 Let d = 55 - 50. What is the second derivative of -2*y**2 + 15*y + y**2 + d*y**2 wrt y? 8 Let m(w) be the first derivative of -4*w**4 + 9*w**2 - 17 + 38 - 23. What is the second derivative of m(g) wrt g? -96*g Let j(w) = w**3 - 8*w**2 + 2*w - 13. Let a be j(8). Let n be ((-4)/(-8))/((-1)/(-12)). Find the third derivative of 4*s**n + s - s - a*s**2 - 3*s**6 wrt s. 120*s**3 Suppose 8*w + 14 = 38. Let a(u) be the first derivative of 0*u**2 - 5/4*u**4 - 2/3*u**w - 4 + 0*u. Find the third derivative of a(r) wrt r. -30 Let m(c) be the second derivative of 0*c**2 + 0 + 23/6*c**3 + 1/15*c**6 + 0*c**4 + 32*c + 0*c**5. Find the second derivative of m(v) wrt v. 24*v**2 Let u be (9/(-12))/(-3 - 694/(-232)). Find the first derivative of 3 - u*d**3 + 53*d**3 + 5 wrt d. -102*d**2 Find the third derivative of -79*o**4 - o**2 - 209*o - 234*o - o**2 - 679*o**4 + 167*o wrt o. -18192*o Let q be (5 - 2 - 3) + 4. Suppose -3*f = 3*o - 12, 5*f - 3*o = -0*o + q. What is the third derivative of -2*h**4 - h**f + 4*h**2 + 0*h**4 - h**2 wrt h? -48*h Suppose -v - 3*b + 4 = 0, -2*b + 6 = 3*v + b. What is the first derivative of 5 + 2*c**3 + 3*c**3 - c**3 + v wrt c? 12*c**2 Let a(r) = r**2 + r - 2. Let f(b) = 103*b**2 + 2*b + 122. Let g(q) = 2*a(q) - f(q). Find the first derivative of g(t) wrt t. -202*t Let h = -1712 + 1718. Let z(j) be the third derivative of 0*j**3 - 9*j**2 + 0 + 1/6*j**4 + 0*j**5 + 1/40*j**h + 0*j. Find the second derivative of z(a) wrt a. 18*a Find the first derivative of -190 + 1220 + 128*q**2 - 237*q**2 - 203*q**2 wrt q. -624*q What is the derivative of 174 - 118*i**2 - 526 - 339*i**2 + 117*i**2 wrt i? -680*i Let r(c) = -c**3 - c**2 + c - 1. Let j(s) = 30*s**3 - s**2 + 3*s + 57. Let k(q) = -j(q) + 3*r(q). Find the third derivative of k(h) wrt h. -198 Let w(l) be the first derivative of -l**4 - l**3 + 2*l**2 + 124. Find the second derivative of w(j) wrt j. -24*j - 6 Let u(n) = 112*n**3 - 59*n**2 - 6*n - 6. Let b(z) = -112*z**3 + 60*z**2 + 5*z + 5. Let j(q) = -6*b(q) - 5*u(q). What is the third derivative of j(i) wrt i? 672 Find the third derivative of 10*b**5 + 31*b + 197*b**4 - 7*b**5 + 9*b**5 + b**6 - 197*b**4 + b**2 wrt b. 120*b**3 + 720*b**2 Let n(o) = 114*o**2 + 5*o - 184. Let l(b) = -56*b**2 - 2*b + 92. Let h(p) = 5*l(p) + 2*n(p). What is the derivative of h(m) wrt m? -104*m Let a be (-56)/(-8) - ((2 - 4) + 2). What is the third derivative of 15*g**2 + a*g**4 - 3*g**2 + g**2 + 5*g**2 wrt g? 168*g What is the third derivative of x**2 + 68*x - 29*x**3 - 23*x**3 + 71*x**3 + 2*x**4 - 27*x**3 wrt x? 48*x - 48 Let g(z) be the first derivative of 8*z**5 - z**2 + 108*z - 564. Find the second derivative of g(s) wrt s. 480*s**2 Suppose 2*o + 4*u + 6 = 0, -8*o - 4*u = -4*o - 4. What is the third derivative of 3*f + 1249*f**5 - 3*f + 27*f**2 - 1218*f**o wrt f? 1860*f**2 What is the third derivative of -2*j**5 - 24*j**4 + 43*j**3 - 21*j**3 - 22*j**3 + 136*j**2 wrt j? -120*j**2 - 576*j Let n(z) = 16*z - 59. Let c(q) = 8*q - 20. Let w be c(3). Let t(m) = 49*m - 175. Let j(a) = w*t(a) - 11*n(a). Differentiate j(h) with respect to h. 20 Differentiate -166*l - 22 + 20 + 15 + 20 + 14 wrt l. -166 Let w(c) be the second derivative of -c**7/70 - 2*c**3/3 - 2*c**2 - 11*c. Let j(u) be the first derivative of w(u). Differentiate j(o) wrt o. -12*o**3 Differentiate 112 - 32 + 2*y**3 - 43 + 4*y with respect to y. 6*y**2 + 4 Let a(y) be the second derivative of -239*y**6/30 - y**4/6 + 191*y**2 + 237*y. Differentiate a(b) with respect to b. -956*b**3 - 4*b Find the second derivative of -889*t - t**4 + 3*t**4 + 1198*t + 2*t**4 wrt t. 48*t**2 Let s(t) = t**3 + 5*t**2 - 13*t + 6. Let y be s(-7). Let k(m) = -m - 1. Let a(v) = 90*v + 90. Let d(c) = y*a(c) - 75*k(c). What is the derivative of d(b) wrt b? -15 What is the second derivative of 2 + 3*j + 4*j + 137*j**4 - 26*j + 18*j wrt j? 1644*j**2 Let r(f) be the second derivative of -19/12*f**4 + 7*f**2 + 0 + 0*f**3 - 3*f. Differentiate r(x) with respect to x. -38*x Let l(f) be the third derivative of 0*f**3 + 4/5*f**5 + 1/6*f**4 + 0*f + 0 + 6*f**2. Find the second derivative of l(k) wrt k. 96 Let u(x) = -4*x - 8. Let z(h) = 1. Let c be (-6)/30*0 - 1/1. Let o(b) = c*u(b) + 8*z(b). What is the first derivative of o(w) wrt w? 4 Find the second derivative of 6 + 361*n - 209*n**2 - 21 + 15 - 78*n wrt n. -418 Let s be 16/(-5)*(-35)/14. What is the first derivative of -4 + 1 - s + 10*f wrt f? 10 Suppose -2*w = w - 3. Let b(d) = d**2 + d. Let n(h) = 8*h**2 + 5*h + 8. Let x(q) = w*n(q) - 5*b(q). Differentiate x(r) with respect to r. 6*r Let v = 17 - 6. Suppose -36 = -3*r + 3*k - 12, v = -3*r - 4*k. Find the second derivative of 2*p**4 - 4*p**r + 4*p**3 + 63*p - 57*p wrt p. 24*p**2 Let r(g) = 6*g**3 - 6*g**2 + 10*g. Let n(u) = u**3 - u. Suppose 15 = 2*m + 35. Let s(v) = m*n(v) - r(v). What is the third derivative of s(h) wrt h? -96 Let c(v) = v**3 - 3*v**2 + 4*v + 1. Let s be c(8). Find the second derivative of 368*m + m**3 - s*m - 2*m**3 wrt m. -6*m Let u(m) be the second derivative of -103*m**3/6 + 37*m**2 - m + 28. Differentiate u(s) wrt s. -103 Let s be (12/2)/(-6) - -3. Let x = 2 + 1. What is the third derivative of m + x*m - 4*m + 3*m**6 - 5*m**s wrt m? 360*m**3 Let n(f) be the second derivative of 0*f**2 - 3/14*f**7 - 5/3*f**3 + 0*f**4 + 0*f**6 + 0*f**5 + 9*f + 0. Find the second derivative of n(h) wrt h. -180*h**3 What is the third derivative of -1 + 75*z**3 - 1961*z + 25*z**2 + 1961*z wrt z? 450 Suppose 31*p = 22*p. Let d(q) = 2*q - 2. Let x be d(2). Find the second derivative of -8*y - 3*y**2 + y + p*y**x wrt y. -6 Let m(z) = -3*z**4 - 5*z**3 - 50*z + 317. Let v(t) = -3*t**4 - 4*t**3 - 51*t + 317. Let x(n) = -4*m(n) + 5*v(n). What is the derivative of x(u) wrt u? -12*u**3 - 55 Let t = 382 + -382. Let z(r) be the second derivative of 4*r + 3/2*r**2 + 0 + t*r**3 + 0*r**4 + 1/15*r**6 + 0*r**5. Differentiate z(n) wrt n. 8*n**3 What is the derivative of 328*u**4 - 1351267*u + 709 + 1351267*u wrt u? 1312*u**3 Let u(v) be the second derivative of -v**6/15 - 5*v**4/24 - 2*v**2 - 2*v. Let c(m) be the first derivative of u(m). Find the second derivative of c(i) wrt i. -48*i What is the first derivative of 3*x**2 - 28*x**2 - 12*x**2 + 3*x**2 - 19 wrt x? -68*x Let x be (-891)/(-24) + (-3)/24. Find the third derivative of -2 + x*z**5 + 1 - 15*z**4 + 15*z**4 - z**2 wrt z. 2220*z**2 What is the second derivative of -15*z**3 + 11*z**3 + 4*z**3 + 2*z**2 - 36*z + 21*z**3 + 3*z**3 wrt z? 144*z + 4 Let r(m) = m**3 - 10*m**2 + 8*m + 29. Let w be r(9). What is the second derivative of w*y**3 - 70*y + 12*y**3 + 6*y**3 + 107*y wrt y? 228*y Let x(m) = -m**4 + 2*m**2 - m + 1. Let s(j) = 47*j**4 - 8*j**2 + 3*j - 9. Let z(c) = -2*s(c) - 6*x(c). What is the third derivative of z(l) wrt l? -2112*l Let o(m) be the second derivative of 1/5*m**5 + 0*m**2 - 5/6*m**4 + 0 - 5*m + 0*m**3. Find the third derivative of o(a) wrt a. 24 What is the second derivative of 60*s**3 + 15*s**3 - 3*s - 1 + 14 + 30*s**3 + 29*s**3 wrt s? 804*s Let o(j) be the second derivative of -137*j**8/56 + j**4/2 + 3*j**2/2 - 25*j. Find the third derivative of o(m) wrt m. -16440*m**3 Let g(i) be the first derivative of -30*i**6 - 286*i**2 + 706. Find the second derivative of g(l) wrt l. -3600*l**3 What is the second derivative of 55*m**3 + 3*m**2 + 24*m - 5*m**2 - 19*m**3 wrt m? 216*m - 4 Let b(a) = -12*a - 5. Let r be b(-5). Differentiate r*o**2 - 62 + 91 - 17*o**2 wrt o. 76*o Let a(w) = 11*w**5 + 5*w**4 - 10*w**2 + 183*w. Let y(g) = 6*g**5 + 3*g**4 - 6*g**2 + 92*g. Let u(t) = 3*a(t) - 5*y(t). Find the second derivative of u(j) wrt j. 60*j**3 Let u(w) = -w**2 - 2. Let o(c) = 30*c**2 + 2*c + 8. Let q(p) = -o(p) - 3*u(p). What is the second derivative of q(s) wrt s? -54 Let k(b) = 152*b**3 - 2*b**2 + 129*b - 2. Let r(p) = -305*p**3 + 5*p**2 - 259*p + 5. Let w(f) = 5*k(f) + 2*r(f). What is the second derivative of w(o) wrt o? 900*o Suppose -33*c + 6528 = -30*c. What is the third derivative of 0*f - 8*f**4 + c*f**2 + 0*f - 2190*f**2 - 2*f**5 wrt f? -120*f**2 - 192*f Let c(y) be the third derivative of -y**6/120 + y**5/10 + y**4/24 + y**3/6
{ "pile_set_name": "DM Mathematics" }
Calculate t(b(n)). 93845*n**2 - 497584*n Let s(h) be the third derivative of h**8/20160 + 43*h**5/30 - 59*h**2. Let j(m) be the third derivative of s(m). Let x(g) = 23*g. Give x(j(i)). 23*i**2 Let w(o) = 737142*o. Let d(a) = 16*a. Calculate w(d(i)). 11794272*i Let l(d) = -69*d. Let u(y) be the third derivative of -9*y**4/8 - 1568*y**2. Calculate l(u(a)). 1863*a Suppose -b + 3*v + 42 = 6, 5*b = -3*v + 126. Let x(g) = 0*g - b*g**2 + 66*g**2 - 2*g**2 + 0*g. Let i(z) = 2*z**2. Give x(i(k)). 148*k**4 Let l(y) = -2*y. Let a(g) = -194497*g**2 - 32*g. Give a(l(k)). -777988*k**2 + 64*k Let j(r) = -35*r**2 - 2*r**2 - 7*r**2 - 41*r**2 - 39*r**2. Let l(y) = -111*y + 0 + 109*y + 0. Give j(l(v)). -496*v**2 Let g(a) be the second derivative of -47*a**3/6 - 5*a. Let m(x) = 93*x - 35*x - 28*x - 29*x. What is g(m(s))? -47*s Let d(x) = 118*x. Let a(w) = -35*w**2 - 15*w**2 + 52*w**2. Determine d(a(s)). 236*s**2 Let o(x) = -4*x - 57. Let n(z) = 17*z + 247. Let g(d) = -3*n(d) - 13*o(d). Let h(f) = -90*f**2. What is g(h(a))? -90*a**2 Let p(c) = c. Let a(k) be the third derivative of k**5/15 - k**4/12 - 391*k**2. Calculate p(a(m)). 4*m**2 - 2*m Let p(h) = 1929739*h. Let n(o) = 861*o**2. What is n(p(w))? 3206271535592181*w**2 Let n(q) = 49*q - 1. Let d(j) = 115796 + 115804 - 231600 - 7*j. Determine n(d(m)). -343*m - 1 Suppose -13*y - 2 = -14*y. Let k(c) be the first derivative of -c**2 + 3*c**2 + 14 + y*c**2 + 1. Let p(g) = 6*g. What is p(k(a))? 48*a Let l(p) = p. Let b be (-1 - -103)/(-6) + -1. Let w(v) = 15*v. Let m(g) = b*l(g) + w(g). Let n(k) = 23*k. Calculate n(m(z)). -69*z Let q(v) = v**2. Let f(s) = -273*s - 5. Let i(x) = -407*x - 7. Let y = -212 - -207. Let k(r) = y*i(r) + 7*f(r). Calculate q(k(o)). 15376*o**2 Let i(c) = 4*c**2 - 33*c. Let o(a) be the second derivative of a**4/3 - 44*a + 12. Give i(o(k)). 64*k**4 - 132*k**2 Let p(h) = -123*h**2 + 1. Let l(r) = -93 + 240 - 4*r**2 - 74 - 73. Determine p(l(x)). -1968*x**4 + 1 Let n(q) = -288478914*q. Let z(k) = -k**2. Calculate n(z(f)). 288478914*f**2 Let r(v) = 3*v**2 + 1857961*v. Let w(j) = -5*j. Calculate r(w(a)). 75*a**2 - 9289805*a Let i(z) = 2943368313*z. Let n(o) = -2*o. Give i(n(b)). -5886736626*b Let u(p) = 31 + 52 + 10*p**2 - 153 + 70. Let r(z) = 13*z**2 - 14*z**2 - 10*z**2. Determine r(u(f)). -1100*f**4 Let j(a) = 621*a**2 + 6*a. Let o(l) = -375*l. What is j(o(p))? 87328125*p**2 - 2250*p Let p(c) = 2776599*c**2. Let n(u) = 4*u**2. Calculate p(n(t)). 44425584*t**4 Let g(f) be the first derivative of 544*f**3 + 6020. Let r(n) = -9*n**2. Give g(r(a)). 132192*a**4 Let n(f) = 2912 + 185*f - 186*f - 2912. Let m(u) = -13*u - 4. Let k(p) = p + 1. Let d(g) = -2*k(g) - m(g). Determine d(n(c)). -11*c + 2 Let t(d) = 131*d. Let s = -607 - -610. Let q(m) = -s - 9 - m + 8 + 4. Determine q(t(k)). -131*k Let m(l) = 63*l. Let o(k) be the first derivative of -k**2 + 3*k + 7805. Give m(o(q)). -126*q + 189 Let l(x) = 6*x**2 - 1. Let q = -653 - -662. Let j(n) = q*n**2 + 11077 - 11077. Give j(l(a)). 324*a**4 - 108*a**2 + 9 Let t(l) = 2*l**2. Let b(o) be the first derivative of 8*o**3 + o**2 + 14*o + 7939. Give b(t(y)). 96*y**4 + 4*y**2 + 14 Let g be (-5 - 3)/(8/(-4)). Suppose -g*b + u = -46 - 11, 2*u - 21 = -b. Let n(v) = -21 + 3*v + 36 - b. Let d(o) = 3*o. Calculate n(d(r)). 9*r Let w(r) = -4*r**2 + 10*r**2 - 2*r**2 - 2*r**2 + r**2. Let j(d) = 15*d + 11. Determine j(w(c)). 45*c**2 + 11 Let j(s) = -18*s. Let x(n) = n - n**2 - 60*n - 55*n + 135*n - 49*n. Determine j(x(t)). 18*t**2 + 504*t Let j(y) = 53*y**2. Suppose 2 = -5*v + 12. Let w(x) = x**2 - 5*x**v + 6*x**2. What is w(j(g))? 5618*g**4 Let g(i) = -179*i**2. Let l(z) = 63*z**2. Let p(q) = -12*g(q) - 34*l(q). Let o(d) = -631*d. Determine p(o(u)). 2388966*u**2 Let w(o) = 168*o**2 - 2. Let u(i) be the third derivative of -i**5/20 + 7*i**3/6 - 2*i**2 + 2*i - 96. Determine u(w(m)). -84672*m**4 + 2016*m**2 - 5 Let q(v) = 17*v**2 + 41*v**2 - 60*v**2. Let i(o) be the first derivative of -4*o**3/3 - 3*o + 37. Calculate q(i(c)). -32*c**4 - 48*c**2 - 18 Let z(s) = 171*s + 18. Let b(m) = 29*m**2. Calculate z(b(q)). 4959*q**2 + 18 Let g(o) = -4*o. Let z(r) be the first derivative of 3*r**2/2 - 45*r - 1676. Give z(g(n)). -12*n - 45 Let d(u) = 5*u - 18*u - 517*u**2 + 518*u**2 + 13*u. Let l(g) = -57*g - 24 + 24. Determine l(d(c)). -57*c**2 Let g(a) = a**2 + 1. Let i(n) = 56*n**2 + 5. Let p(y) = 5*g(y) - i(y). Let q = 29 - 25. Let k(d) = -3*d + 11*d - q*d - 3*d. What is p(k(u))? -51*u**2 Let p(y) = -2 + 4 + 34*y**2 + 10*y**2. Let j(a) = 8 - 10 + 5825*a**2 + 5828*a**2 - 11650*a**2 + 2. Calculate p(j(m)). 396*m**4 + 2 Let d(o) = -1676*o**2 - 3*o + 1356. Let i(b) = 8*b. What is d(i(f))? -107264*f**2 - 24*f + 1356 Let b(z) = -2*z. Let j(k) = -1443*k**2 + 214622. What is b(j(w))? 2886*w**2 - 429244 Let r(c) = 56359*c**2. Let j(w) = -39*w**2. What is r(j(z))? 85722039*z**4 Let v be ((-2)/(-9))/1 + 528/54. Let j(s) = 11*s**2 + s**2 - v*s**2. Let f(g) = 9*g + 3. What is f(j(n))? 18*n**2 + 3 Let t(b) = 20*b**2 + b - 5. Let w(a) = -a**2 + a + 5. Let z(r) = -t(r) - w(r). Let y(f) = -12*f**2. What is z(y(k))? -2736*k**4 + 24*k**2 Let n(c) = -55*c + 15. Let y(w) be the first derivative of w**2/2 + 13656. What is y(n(m))? -55*m + 15 Let f(x) = -2. Let c(q) = q**2 - 6. Let u(o) = c(o) - 3*f(o). Let y(l) = 856*l**2. Calculate y(u(b)). 856*b**4 Let y(l) be the first derivative of -3*l**3 - 286. Let g(v) = -29*v**2. Calculate y(g(f)). -7569*f**4 Let z(w) = -2*w**2 + 224*w + 3. Let a(i) = -35*i**2. Give z(a(f)). -2450*f**4 - 7840*f**2 + 3 Let f(r) = 838*r**2. Let k(t) = 600*t + 205. Calculate k(f(l)). 502800*l**2 + 205 Let t(d) = -4*d + 30408763 - 30408763 + 2*d + 5*d. Let u(i) = 424*i**2 + 3*i. Give t(u(w)). 1272*w**2 + 9*w Let d(h) = 2*h - 10*h - 3*h. Let a(k) = 930*k**2 - 51*k - 51. Let l(n) = 73*n**2 - 4*n - 4. Let b(j) = 4*a(j) - 51*l(j). Give d(b(y)). 33*y**2 Let t(g) = 6612*g**2. Let h(f) = -13*f - 18. Let v(d) = -3*d - 4. Let l(w) = -2*h(w) + 9*v(w). Determine t(l(b)). 6612*b**2 Let o(i) be the first derivative of i**4/6 - 29*i - 98. Let p(z) be the first derivative of o(z). Let k(g) = -688*g. What is p(k(b))? 946688*b**2 Let i(d) = -d**2 + 2*d. Let x(r) = -6 - 34*r + 4*r + 14*r - 2 + 18*r. Calculate x(i(j)). -2*j**2 + 4*j - 8 Let x(r) = 43*r - 33. Let a(t) = -4*t + 3. Let u(j) = -55*a(j) - 5*x(j). Let d(k) = 28*k**2 - 2*k. Calculate d(u(q)). 700*q**2 - 10*q Let w(q) = -11*q**2 - 333*q - 18. Let p(l) = 5*l**2 + 166*l + 8. Let a(n) = -9*p(n) - 4*w(n). Let k(v) = -8*v. Give k(a(j)). 8*j**2 + 1296*j Let w(f) = 67513*f. Let l(u) = -42*u + 1. What is l(w(m))? -2835546*m + 1 Let v(o) = 4*o**2. Let m(b) = -15*b**2. Let k(d) = -2*m(d) - 7*v(d). Let z(l) = -1 + 4*l - 6*l + 4 - 2. Calculate z(k(x)). -4*x**2 + 1 Let j(x) = -23*x**2 + 4*x. Suppose -10 = -2*d - 0*d, 444 = t - 2*d. Let n(c) = -454 + 908 + c - t. What is j(n(r))? -23*r**2 + 4*r Let d(n) = n**2 + 5. Let j(o) = 3. Let p(a) = -3*d(a) + 5*j(a). Let w(z) be the first derivative of 1/2*z**2 + 92 + 0*z. What is p(w(b))? -3*b**2 Let x(b) = 1015*b. Let m(p) = -99*p**2 - 179*p**2 + 280*p**2. Determine m(x(r)). 2060450*r**2 Let h(t) = 88422*t. Let v(n) = 919*n**2 - 2. Give h(v(q)). 81259818*q**2 - 176844 Let x(z) = 30*z - 6. Let f(r) = 174353*r. Give f(x(d)). 5230590*d - 1046118 Let n(a) = 12711 + 12715 - 6*a - 25426 + 0*a. Let h(t) = 892*t. Determine n(h(u)). -5352*u Let v(r) = 78*r**2 - 4. Let w(k) = 12*k**2 - 1. Let l(y) = -v(y) + 4*w(y). Let f(d) = -2*d + 9. Calculate l(f(p)). -120*p**2 + 1080*p - 2430 Let k(m) = -95*m**2 + 3. Let n(b) = -4*b**2 - 4099*b + 4099*b + 3*b**2. What is n(k(r))? -9025*r**4 + 570*r**2 - 9 Let u(i) = 12*i**2. Let f(h) = -4559*h**2 - 63*h - 1. Give f(u(q)). -656496*q**4 - 756*q**2 - 1 Let x(j) = -j. Let y(m) be the third derivative of 10657*m**5/60 - 122*m**2 - 28*m. Determine y(x(d)). 10657*d**2 Let u(n) = -133922123 + 133922123 - 846*n. Let w(i) = 3*i. Determine w(u(z)). -2538*z Let p(a) = 563*a - 192*a - 50*a - 81*a - 46*a. Let o(k) = -6*k**2. Give p(o(s)). -1164*s**2 Let d(f) = -8189*f. Let p(g) = -2*g + 87. What is p(d(b))? 16378*b + 87 Suppose -8 - 22 = -3*t - q, -20 = -2*t + 3*q. Let o = t + -8. Let n(f) = 6*f**2 + 0*f**2 - 9*f**2 + 4*f**o. Let a(y) = -18*y**2. Give a(n(m)). -18*m**4 Let r(n) = 91*n. Let g(k) = -202
{ "pile_set_name": "DM Mathematics" }
? True Let c = 1654 + -1653. Let f be (0 - -2)*(-1)/86. Is f <= c? True Suppose 3*p - 27 = -5*z + z, p = 5*z - 48. Is 7 < z? True Suppose 4*q + 8 = -8, -p + 11 = -2*q. Suppose p*z = -8 + 26. Which is smaller: 11 or z? z Let b = 545489921/1239 + -440266. Let w = b + 1/177. Which is greater: 25 or w? 25 Let m = 2126 - 2125. Is 1157 at most as big as m? False Suppose -r = -2*o + 93, 2 = -3*o - 4. Let f = r - -67. Let x = f - -18. Which is bigger: x or -14? x Let v(k) be the second derivative of -9*k**5/20 + k**4/12 - 7*k. Let r be v(1). Let z be 6/r*(-24)/108. Is 1 equal to z? False Let y = 4 + -3.6. Suppose 2*a = -3*t - 0*t - 14, -5*a + 15 = -5*t. Which is greater: a or y? y Suppose 0 = 5*u - 15, 3*u + 8 - 14 = -3*x. Let n be (-1)/4*(1 - 5). Which is greater: n or x? n Let z be -1 + (-477)/(-237) + -1. Let c be 3/9 + (-1118)/(-948). Let h = z - c. Which is bigger: -2 or h? h Let o = -0.526 + 0.426. Which is bigger: o or 7/36? 7/36 Suppose -c + 1 = 7. Let f(p) = 2*p**2 + 29*p + 6. Let t(w) = -w**2 - 14*w - 3. Let r(k) = -2*f(k) - 5*t(k). Let u be r(-11). Is u smaller than c? True Suppose -7 = u - v - 4, -4*v + 12 = 3*u. Let d be 3/(-6)*(0 + -10). Suppose u = -d*b - 4 + 14. Which is greater: b or 0.1? b Let z = 110.1 + -116. Let m = -7 - z. Let g = m - -2.1. Which is smaller: 0 or g? 0 Let b(j) = -6*j + 18. Let n be 180/42 - (-2)/(-7). Let r be b(n). Is r < -3? True Let s be 39/(-36) - 6/(-8). Let t(z) = 4*z - 6. Let f be t(4). Suppose 0 = -0*l + 5*l - f. Which is bigger: l or s? l Let j be -4*(-22853)/18284 - (9 - 4). Do 0 and j have different values? True Suppose -5*w - 2*w + 35 = 0. Suppose 5 = 2*f - w*a - 9, 0 = 3*f + 3*a. Suppose -5*g + 2*g - 38 = -f*k, 5*g = -3*k - 38. Is -12 bigger than g? False Let a(k) = -k**2 + 14*k - 22. Let n be a(13). Let s = 11 + n. Do s and 1 have the same value? False Let x = -1.034 - 0.961. Let z = 0.005 - x. Are z and -8 equal? False Let l(i) be the first derivative of 3*i**2/2 - 14*i - 1. Suppose -3*o + v + 16 = 0, -5*o + v + 5 + 23 = 0. Let t be l(o). Which is smaller: 2 or t? 2 Let s be 6 + (-7)/7 + 93. Which is bigger: s or 99? 99 Suppose 32*m - 76032 = -m. Is 2304 < m? False Let r = 22.97 + -25.97. Is 369 less than or equal to r? False Let n(r) = -8*r + 2 - r + r + 24*r**2 + 10*r. Let t be n(-1). Is t at most as big as 24? True Let t(z) = z + 2. Let s be t(-2). Suppose -4 = 2*i - 0, i = -4*u + 10. Let f be 58/(-19) + u*1. Which is smaller: f or s? f Suppose -3*i + i = -2*v + 4, -3*i = 2*v - 9. Suppose v*p - 13*p = -7*p. Which is bigger: -2/11 or p? p Let r(n) = n + 4. Let t be r(-8). Let l(y) = y**3 + 4*y**2 - 3*y - 4. Let g be l(t). Let k(a) = a - 7. Let j be k(g). Do j and 3 have different values? True Let p = 8449/3 + -2876. Let c = p - -59. Is -1/8 less than or equal to c? False Suppose -19 = -9*v - 10*v. Which is smaller: 7/64 or v? 7/64 Suppose 3*d = -2293 - 2387. Let y be 1218/d - (-9)/12. Is 0 equal to y? False Suppose -5*m + 19 = -n, -n + 3*n - 2*m = -30. Let j be n/4*20/35. Is -56 smaller than j? True Let l = 2039 - 1744. Do 295 and l have the same value? True Let x(b) = 54*b**3 - b**2 + 1. Let a be x(1). Let w be ((-1)/14)/(27/a). Is w greater than or equal to -5/4? True Suppose -2*w + 3*u = -191, 0*u = -u + 3. Let l = 95 - w. Is l less than -29/5? False Let n be 1/(((-4)/(-28))/(2/7)). Let m be (-1)/n*-5*3/(-30). Does -7/4 = m? False Suppose 0 = -i + 5*s + 4, 4 + 16 = 5*i - s. Suppose -i*f - 119 = -0*z + 5*z, 4*f = 3*z + 97. Which is smaller: z or -28? -28 Let p(m) = -12*m - 7. Let l be p(3). Is 0.3 greater than l? True Suppose 25*g - 19*g + 6 = 0. Which is bigger: g or -12? g Suppose -2*h = 3*n - 0*n + 6, -n - 2 = 2*h. Let l = -1/24460 - 506016/6115. Let o = l - -82. Is h smaller than o? False Let c = -394612/23 + 17153. Let f = c + 1914/115. Which is bigger: 14 or f? 14 Let g be 17/((-1156)/(-162))*(-8)/6. Is g bigger than -3? False Let t = 0.052 + -1.052. Let g(i) = i**2 + 10*i - 2. Let d be g(-9). Which is bigger: d or t? t Let v(z) = 2*z**2. Let b be v(-1). Suppose 4*o - 10 = -b*t, 0 - 2 = -2*o - 4*t. Is o greater than 15/4? False Let h = -51 - -67. Which is smaller: 0.3 or h? 0.3 Let d = -1001 + 1001. Which is bigger: d or -6/101? d Suppose -3*d = 2*b + 3*b + 22, -3*b - 10 = 5*d. Suppose 3*c = -4*k - 3 - 0, 5*c = 4*k - 5. Which is bigger: c or d? d Let k(w) = w - 9. Let x be k(11). Suppose 0 = -3*f + z - 5, -x*f + 3*z - 3 = f. Which is smaller: -3 or f? -3 Let i = 20 - 32. Let q be 1 - ((-100)/i - 3). Which is greater: q or -3? -3 Suppose -2*q - 58 = 122. Let k = -90 - q. Let d be 1 - (1 + (-6)/(-14)). Which is smaller: k or d? d Let a be -145 - ((-48)/(-32))/((-3)/(-10)). Are -150 and a unequal? False Suppose -2*p + 2 = g, 2*p - 3*g = p + 15. Suppose -p*f = 5*l + 119, 2*l = -0*f + f + 47. Which is smaller: -44 or f? -44 Let f(t) be the first derivative of t**2/2 + 13*t - 4. Let n be f(-12). Let z = -0.02 - -8.02. Is z less than or equal to n? False Suppose -754*x + 753*x = 38. Is x greater than -188/5? False Let c = 15376283/1161 - 13244. Which is greater: -1 or c? c Let s be 25/(-30)*12/(-32). Let d = s - -3/16. Is -1/5 >= d? False Let p = 5/13 - 2/39. Let w(k) = k + 9. Let x be w(14). Let f = x + -26. Is p greater than or equal to f? True Suppose -23 - 37 = -5*r. Suppose r = -4*l + 8*l. Suppose 3*k - 3 = -0*h + 3*h, 4*h = l*k - 3. Is h at least as big as -2/13? True Let x = -1.02 - -0.02. Let o be (-2 - (-340)/175)*20. Which is greater: x or o? x Let s be (-10224)/130 - 4/(-5). Let l = s - -78. Which is smaller: 0 or l? 0 Let t = -1.01 - -0.01. Let l = 337.3 + -337. Do t and l have the same value? False Let k = 97 - 56. Let t = -40.988 + k. Is t >= 0.1? False Let i = -17/11 + 62/33. Is -1 greater than i? False Let y(o) = o**3 + 17*o**2 - 16*o + 37. Let j be y(-18). Let u = 10326767 + -109949087995/10647. Let w = -4/507 - u. Is w equal to j? False Let w be 18/(-3) - (-2 + 2). Let t = w + 5. Which is smaller: t or -1/2? t Let v be 36/10 + 4/10. Let r(l) = l**3 + 12*l**2 + 29*l + 23. Let k be r(-9). Is k != v? True Suppose -4 = -5*b + b. Let i = b - -3. Suppose -i*u + 3*w + 3 - 15 = 0, -u + 5*w = 20. Is 0 not equal to u? False Let k = 23 - 34. Let q = 72.2 - 61. Let s = q + k. Is s != -1/5? True Suppose 0 = 2*c - 6*c + 8. Suppose 5*m - 181 = 574. Let z = -148 + m. Which is bigger: c or z? z Let z = 13 - 5. Let k = 11 - z. Suppose -5*n - 1 = t + k, -5*n = -3*t + 8. Which is greater: 7/3 or t? 7/3 Let t = 0.452 + -0.413. Which is smaller: -0.1 or t? -0.1 Suppose -9*j = -210 + 433 + 191. Suppose 4*b + 5*o + 165 = 0, 0 = -2*b + o - 109 + 16. Is j at least as big as b? False Let m(a) = 39*a + 433. Let y be m(-17). Do -230 and y have the same value? True Suppose -d = -4*d - 198. Let y = -68 - d. Is y >= -4? True Suppose 2*s + 5*k = 3*k - 8, 3*s + 2 = 2*k. Which is smaller: s or -3? -3 Let o(r) = -r**3 + 8*r**2 - r - 5. Suppose 0 = -9*m + 6*m + 18. Let j be o(m). Is 60 less than j? True Let o = 846 + -844. Which is bigger: o or 4/3? o Let s(g) = -6*g + 23. Let a be s(4). Which is smaller: -2/105 or a? a Let w(t) = t**3 + 6*t**2 + 6*t + 7. Let b be w(-5). Let s be (0 - (-1)/(-28))*b*-4. Is -1 greater than or equal to s? False Let r be (7 - 41/6)*16/(-2984). Are r and 0 equal? False Let a = 8 - 8.4. Let d = a - -4.4. Let u = d - 2. Is -0.2 > u? False Let s(d) = d**3 - 2*d**2 - d + 5. Let b be s(2). Suppose b*v = -2*v. Which is greater: v or 7/8? 7/8 Let v be (11/10 + 0)*(-896)/(-224). Which is smaller: -1/5 or v? -1/5 Suppose 4*l + 58 + 6 = 0. Let o = 376 - 391. Do o and l have different values? True Let v be (-40)/(-22)*924/56. Let s(f) = f**2 - 3*f - 9. Let h be s(8). Is h less than or equal to v? False Let d be (-22)/77*(-79 - 5). Which is greater: -0.019 or d? d Let k(u) = 50*u - 687. Let x be k(0). Are x and -687 non-equal? False Let g be (-19)/(133/42) + -4. Which is smaller: g or -1? g Let m be 4/15*78/(-2). Let n = m + 374/35. Do n and 4 have the same value? False Let r be -1 + 17*2/(-1). Let b(j) = -3*j**3 + 14*j**2 - 13*j - 13. Let k be b(4). Is k > r? True Let q = -27 - -43. Let f = -652 + 669. Which is smaller: f or q? q Let m = 354.582 - 355. Let n = m + 0.118. Let i = -0.1 - -1.1. Is i > n? True Suppose -10 = -2*z - 4*a, -z + 4*z - 2*a - 31 = 0. Let s be (-8)/(-12) + 48/z. Is 4 <
{ "pile_set_name": "DM Mathematics" }
of -4*q**2 + 60. Determine k(t(d)). -128*d**2 Let o(w) = -w. Let j(y) = -y**2 - 166. Calculate o(j(u)). u**2 + 166 Let j(l) = -1020*l. Let t(q) = 5*q. Give j(t(c)). -5100*c Let u(p) be the second derivative of -p**4/3 - 4*p. Let d(a) = -2*a. What is u(d(s))? -16*s**2 Let f(c) = 37*c**2. Let n(v) be the third derivative of v**4/12 - 9*v**2. Calculate f(n(m)). 148*m**2 Let n(j) = -4*j. Let l(k) be the third derivative of k**5/120 - 3*k**3/2 - 8*k**2. Let u(c) be the first derivative of l(c). Give u(n(g)). -4*g Let z(q) be the first derivative of -5*q**3 + 12. Let l(i) = i. Give l(z(g)). -15*g**2 Let d(g) = -141*g**2 + 66*g**2 + 67*g**2. Let a(t) = 2*t**2 - 3*t + 3*t. Give d(a(n)). -32*n**4 Let c(z) = -4*z + 5. Let b(g) = 6*g - 8. Let w(x) = 5*b(x) + 8*c(x). Let a(q) = -5*q + 4*q + q + q**2. Calculate w(a(i)). -2*i**2 Let q(f) = -10 + 10 + 4*f - 2*f. Let x(n) be the first derivative of -1/3*n**3 + 0*n**2 + 0*n + 1. Give x(q(r)). -4*r**2 Let h(r) = -81*r - 2. Let t(s) = 2*s**2. Determine h(t(i)). -162*i**2 - 2 Let r(g) = 5*g - 3. Let h(t) = 10*t - 5. Let i(z) = 3*h(z) - 5*r(z). Let k(v) = v. Determine i(k(d)). 5*d Let w(p) = 77*p - 2. Let v(d) = 3*d**2. Give w(v(r)). 231*r**2 - 2 Suppose 3 + 12 = 3*d. Let n(x) = 5 - d - x. Let r(o) = o**2. Give r(n(t)). t**2 Let r(a) = -a**2. Let q(g) be the third derivative of g**5/20 + 3*g**4/4 + 4*g**2. Calculate r(q(s)). -9*s**4 - 108*s**3 - 324*s**2 Let l(j) = -j. Let b(c) be the second derivative of c**4/12 - 2*c**3/3 - 4*c**2 - c. Let n be b(6). Let x(g) = -4 + n - g. Determine x(l(a)). a Let w(l) = -l**2. Let g(r) = r**2. Let i(o) = 4*g(o) - 2*w(o). Let h(k) = 2*k**2. Calculate i(h(j)). 24*j**4 Let r(m) = -m**3 + 6*m**2 + 7*m + 6. Let b be r(7). Let f(q) = 0*q - b*q - q + 5*q. Let l(u) = -2*u**2. Give f(l(j)). 4*j**2 Let f(u) be the first derivative of 5*u**2/2 - 15. Let a(x) = -x**2 + 3*x + 3. Let z(k) = 2*k**2 - 8*k - 8. Let n(v) = -8*a(v) - 3*z(v). What is f(n(q))? 10*q**2 Let y(p) = 7*p**2. Let g(n) = 8*n**2. Let f(a) = -5*g(a) + 6*y(a). Let h(k) = -20*k. Calculate f(h(r)). 800*r**2 Let z(y) = 141*y**2. Let k(u) = -u. Calculate z(k(x)). 141*x**2 Let w(y) = 3*y - 4. Let q(c) = 3*c - 3. Let g(t) = 4*q(t) - 3*w(t). Let u(v) = -7*v**2. Determine g(u(b)). -21*b**2 Let w(d) = 70*d. Let i(j) = -14*j. Let c(b) = 14*i(b) + 3*w(b). Let f(l) = -2*l. Give f(c(p)). -28*p Let s(j) = j**2. Let h(q) = q - 1. Suppose 4*m - 10 = -2*p, -m + 3*p = m + 7. Let n(r) = -2 - 3 + 7 + 6 - 12*r. Let z(f) = m*n(f) + 8*h(f). Determine z(s(a)). -4*a**2 Let j(f) = -f**3 + f**2 + f - 1. Let v be j(1). Let m(s) = v + 0 + 0 - s. Let n(o) = -5*o. Calculate n(m(w)). 5*w Let g(r) = -2*r**2. Let s = -30 - -33. Let i(m) be the first derivative of -1/3*m**s + 2 + 0*m**2 + 0*m. Give i(g(x)). -4*x**4 Let d(r) = -r**2. Let h(z) = 5*z**2 + 0 - 19*z**2 + 0. Calculate h(d(v)). -14*v**4 Let j(h) = 2*h**2. Let v(p) = -p. Let x(a) = 2*a. Let m(t) = -5*v(t) - 2*x(t). What is j(m(b))? 2*b**2 Let m(b) = 10*b - 96. Let w(i) = -2*i. What is m(w(r))? -20*r - 96 Let m(p) = -4*p**2 + 0*p**2 + 5*p**2. Let f(v) be the third derivative of v**5/20 + 4*v**2. Give f(m(y)). 3*y**4 Let j(n) = -4*n**2 + 26*n. Let x(o) = o**2 + 3. Calculate j(x(v)). -4*v**4 + 2*v**2 + 42 Let s(r) = -r + 3. Let c(f) be the second derivative of -2*f**2 + 6*f**2 - 3*f**2 + 3*f. Let l(q) = -3*c(q) + 2*s(q). Let w(o) = -2*o**2. Determine w(l(b)). -8*b**2 Let h(b) = -89*b**2 - 4*b. Let k(a) = -a**2. What is h(k(l))? -89*l**4 + 4*l**2 Let s(u) be the third derivative of -u**4/12 + 2*u**3/3 - 3*u**2. Let z(o) = -2*o + 5. Let t(l) = 5*s(l) - 4*z(l). Let n(c) = c**2. Calculate n(t(g)). 4*g**2 Let n(t) = 2*t. Let c(l) be the third derivative of -l**4/8 + 9*l**2. Give c(n(f)). -6*f Let c(f) = -3*f. Let m(p) = -541*p**2 - p. Determine m(c(q)). -4869*q**2 + 3*q Let l(z) = 15*z**2. Let j = 24 - 22. Let i(g) = -2*g**2 - j*g**2 + 4*g**2 + g**2. What is i(l(c))? 225*c**4 Let r(g) = 9*g + 5. Let c(a) = 10*a + 6. Let b(t) = 5*c(t) - 6*r(t). Let s(k) = -k. What is s(b(j))? 4*j Let s(b) = 44*b. Let z(n) = -37*n. Give z(s(v)). -1628*v Let k(b) = -b**2. Let p(o) be the second derivative of 0 - 5*o + 0*o**2 + 5/6*o**3. What is p(k(z))? -5*z**2 Let o(l) = -391*l**2. Let a(u) = 3*u**2. Calculate o(a(b)). -3519*b**4 Let f(r) = 115*r**2. Let q(k) = -6*k. Determine q(f(x)). -690*x**2 Let j(a) = 4*a. Let h(t) be the first derivative of -t**3/3 + 42. Calculate j(h(o)). -4*o**2 Let s(o) = -12*o**2 + 5*o**2 + 4*o**2. Let x(a) = -8*a. What is s(x(g))? -192*g**2 Suppose 5*x - 30 = -4*o - o, 0 = -o + 4. Let t(f) = -15*f**2 - x*f + 3*f - f. Let a(n) = -2*n**2. What is a(t(c))? -450*c**4 Let d(p) = -9*p - 6. Let g(f) = -19*f - 13. Let j(o) = -13*d(o) + 6*g(o). Let r(b) = 3*b**2. What is j(r(t))? 9*t**2 Let i(m) be the first derivative of m**3/3 - 1. Let b(h) = -21*h - 84. Let t(r) = -r - 3. Let g(l) = b(l) - 28*t(l). Calculate g(i(u)). 7*u**2 Let w(c) = -195*c. Let t(p) = 28*p. Let v(a) = -15*t(a) - 2*w(a). Let u(s) = -s**2. Calculate u(v(n)). -900*n**2 Let a(c) = 2*c. Let q(i) = -46*i**2 - 5*i - 5. Let u(f) = 24*f**2 + 3*f + 3. Let w(o) = 6*q(o) + 10*u(o). Give w(a(s)). -144*s**2 Let i(o) be the first derivative of -6*o**2 - 19. Let f(v) = -4*v**2. Give i(f(g)). 48*g**2 Suppose 5*w - 8 = w. Let k(t) = -t**2 - 3*t**w + 4*t**2 - t**2. Let z(i) = i. Calculate z(k(f)). -f**2 Let k(g) = 2*g. Let u(n) = -377*n + 104. Let f(r) be the first derivative of 9*r**2 - 5*r - 1. Let m(o) = 104*f(o) + 5*u(o). Calculate k(m(p)). -26*p Let r(v) = v**2. Let k(f) = 6*f**2 + 8. Let g(s) = -4*s**2 + 2. Let o(y) = 11*y**2 - 5. Let l(d) = -8*g(d) - 3*o(d). Let c(q) = -k(q) - 8*l(q). What is r(c(t))? 4*t**4 Let l(b) = -2*b. Let u = -1 + 3. Let n(a) = -3 + 9*a**u + 3 - 10*a**2. Give l(n(q)). 2*q**2 Let v(t) = -87*t. Let q(d) = 40*d. Give q(v(j)). -3480*j Let b(s) = s**2 - 5*s. Let y(d) = 2*d. Let x(q) = -2*b(q) - 5*y(q). Let f(v) = -12*v**2. Determine x(f(u)). -288*u**4 Suppose -r - 7 = -3*d, 2*r + 1 = 2*d + 3. Let i(g) = -d + 2 + 3*g + 2. Let b(s) = 2*s. What is b(i(w))? 6*w Let b(a) = 197*a**2. Let f(k) = 4*k. What is b(f(g))? 3152*g**2 Let w(k) be the second derivative of -5*k**3/6 + 30*k. Let n(h) = -2*h. Calculate n(w(g)). 10*g Let l(t) = -t**2 - 2. Let o(s) = s**2 + 3. Let n(i) = 3*l(i) + 2*o(i). Let a(g) = 11*g**2. Give a(n(v)). 11*v**4 Let k(j) = j**2. Let f(b) = b**2 + 2*b - 266. Give f(k(q)). q**4 + 2*q**2 - 266 Let n be (-25)/(-9) + 4/18. Suppose l + 3 = 0, -2*w - w + 5*l + 15 = 0. Let c(g) = -n*g + w*g + 5*g. Let a(y) = -4*y**2. Calculate a(c(t)). -16*t**2 Let j(d) = -107*d**2. Let y(c) = 6*c. Give y(j(p)). -642*p**2 Let y(d) = -2*d**2. Let u(m) be the third derivative of 5*m**4/8 + 5*m**2. Determine u(y(c)). -30*c**2 Let h(o) = -10*o. Let f(l) = -17*l. Calculate h(f(w)). 170*w Let v be 15/(-25) - (-39)/15. Let w(s) = -v*s - 19 + 19. Let x(d) = 2*d. What is w(x(k))? -4*k Let o(f) = 11*f - 13. Suppose -2 = 3*g - 14, 2*g = -2*h + 164. Let l(k) = -k + 1. Let d(w) = h*l(w) + 6*o(w). Let v(p) = -2*p**2. Calculate v(d(z)). -288*z**2 Let h(w) = -2*w**2. Let f be 2 + -1 - (3 - 2). Let c(u) = f*u - 4*u + 2*u + 4*u. Calculate c(h(v)). -4*v**2 Let l(w) = 2*w. Let c(r) = -3*r. Let n(m) = -7*m. Let y(p) = -15*c(p) + 6*n(p). Determine y(l(o)). 6*o Let t(s) = -22*s**2. Let g(u) = 14*u. What is g(t(k))? -308*k**2 Let l(p) = -p**2. Let k be 3*(-1 + 15/9). Let x(s) = 0*s - s + 0*s + k*s. Determine l(x(m)). -m**2 Let y(r) be the third derivative of 0 + 0*r + 0*r**3 + 5/24*r**4 + 2*r**2. Let j(g) = -g**2. What is j(y(w))? -25*w**2 Let i = 4 + -2. Let c(q) = -3*q - i*q + 6*q + 0*q. Let w(y) = -9*y. Let s(t) = 8*t. Let g(u) = -5*s(u) - 4*w(u). What is g(c(l))? -4*l Let m(k) = -k**2. Let h(x) be the second derivative of 2*x**3/3 + 11*x**2/2 + 19*x. Calculate m(h(v)). -16*v**2 - 88*v - 121 Let y(l) = -l**2. Let j(i) = 3*i**2. Determine j(y(b)). 3*b**4 Let r(o) = -7*o**2 + 8. Let c(x) = 4*x**2 + 5. Calculate r(c(u)). -112*u**4 - 280*u**2 - 167 Let v(y) = -y**2. Let d(o) = -6*o**2 + 34*o. Give d(v(r)). -6*r**4 - 34*r**2 Let g(j) = -4*j. Let r(a) = 2*a**2 + 14*a. What is g(r(c))? -8*c**2 - 56*c Let l be -3*(-4)/30*5. Let q(w) = 2*w**l + w**2 - 2*w**2. Let u(h) = h**2 + 2*h**2 - h**2. Calculate u(q(s)). 2*s**4 Let t(s) = -2*s. Let u(r) = 278*r. What is u(t(y
{ "pile_set_name": "DM Mathematics" }
hat are the prime factors of 623? 7, 89 List the prime factors of 9297. 3, 1033 List the prime factors of 386. 2, 193 List the prime factors of 7519. 73, 103 What are the prime factors of 1175? 5, 47 List the prime factors of 29201. 29201 What are the prime factors of 102075? 3, 5, 1361 What are the prime factors of 5984? 2, 11, 17 List the prime factors of 245. 5, 7 What are the prime factors of 2206? 2, 1103 What are the prime factors of 1582? 2, 7, 113 List the prime factors of 55. 5, 11 What are the prime factors of 15366? 2, 3, 13, 197 What are the prime factors of 23007? 3, 7669 List the prime factors of 4024. 2, 503 List the prime factors of 2900. 2, 5, 29 List the prime factors of 2650. 2, 5, 53 List the prime factors of 77230. 2, 5, 7723 List the prime factors of 31537. 11, 47, 61 List the prime factors of 12276. 2, 3, 11, 31 What are the prime factors of 2241? 3, 83 What are the prime factors of 22816? 2, 23, 31 What are the prime factors of 14318? 2, 7159 What are the prime factors of 4024? 2, 503 List the prime factors of 4197. 3, 1399 What are the prime factors of 1089? 3, 11 List the prime factors of 1242. 2, 3, 23 List the prime factors of 725. 5, 29 What are the prime factors of 19153? 107, 179 What are the prime factors of 272? 2, 17 List the prime factors of 1511. 1511 List the prime factors of 6850. 2, 5, 137 List the prime factors of 28996. 2, 11, 659 List the prime factors of 2463. 3, 821 List the prime factors of 10586. 2, 67, 79 List the prime factors of 9638. 2, 61, 79 What are the prime factors of 6812? 2, 13, 131 What are the prime factors of 16947? 3, 7, 269 What are the prime factors of 36125? 5, 17 What are the prime factors of 1987? 1987 What are the prime factors of 505? 5, 101 List the prime factors of 56499. 3, 37, 509 List the prime factors of 5436. 2, 3, 151 What are the prime factors of 29? 29 What are the prime factors of 34151? 13, 37, 71 What are the prime factors of 10575? 3, 5, 47 List the prime factors of 5941. 13, 457 What are the prime factors of 56418? 2, 3, 9403 List the prime factors of 115805. 5, 19, 23, 53 List the prime factors of 2357. 2357 What are the prime factors of 20894? 2, 31, 337 What are the prime factors of 885? 3, 5, 59 What are the prime factors of 7784? 2, 7, 139 List the prime factors of 82842. 2, 3, 13807 List the prime factors of 27340. 2, 5, 1367 What are the prime factors of 1623? 3, 541 List the prime factors of 853. 853 What are the prime factors of 13358? 2, 6679 List the prime factors of 4909. 4909 List the prime factors of 13298. 2, 61, 109 List the prime factors of 52773. 3, 7, 359 What are the prime factors of 66247? 31, 2137 What are the prime factors of 2949? 3, 983 What are the prime factors of 1539? 3, 19 List the prime factors of 13018. 2, 23, 283 List the prime factors of 899. 29, 31 What are the prime factors of 3467? 3467 What are the prime factors of 2509? 13, 193 What are the prime factors of 454? 2, 227 List the prime factors of 1574. 2, 787 What are the prime factors of 3766? 2, 7, 269 What are the prime factors of 4682? 2, 2341 What are the prime factors of 5274? 2, 3, 293 List the prime factors of 1827. 3, 7, 29 List the prime factors of 849. 3, 283 List the prime factors of 764. 2, 191 What are the prime factors of 66528? 2, 3, 7, 11 List the prime factors of 150960. 2, 3, 5, 17, 37 What are the prime factors of 314? 2, 157 List the prime factors of 1670. 2, 5, 167 What are the prime factors of 2074? 2, 17, 61 List the prime factors of 947. 947 What are the prime factors of 110867? 29, 3823 List the prime factors of 3267. 3, 11 List the prime factors of 37559. 23, 71 What are the prime factors of 3637? 3637 What are the prime factors of 852? 2, 3, 71 What are the prime factors of 4629? 3, 1543 What are the prime factors of 5673? 3, 31, 61 List the prime factors of 112949. 179, 631 List the prime factors of 1418. 2, 709 List the prime factors of 2175. 3, 5, 29 What are the prime factors of 3421? 11, 311 What are the prime factors of 33917? 13, 2609 List the prime factors of 58542. 2, 3, 11, 887 What are the prime factors of 1610? 2, 5, 7, 23 List the prime factors of 49651. 7, 41, 173 What are the prime factors of 2459? 2459 What are the prime factors of 8063? 11, 733 List the prime factors of 6296. 2, 787 What are the prime factors of 11191? 19, 31 What are the prime factors of 8054? 2, 4027 List the prime factors of 500. 2, 5 What are the prime factors of 3242? 2, 1621 What are the prime factors of 16270? 2, 5, 1627 List the prime factors of 3617. 3617 List the prime factors of 1107. 3, 41 List the prime factors of 8471. 43, 197 List the prime factors of 9867. 3, 11, 13, 23 What are the prime factors of 16845? 3, 5, 1123 List the prime factors of 334. 2, 167 List the prime factors of 7890. 2, 3, 5, 263 What are the prime factors of 10398? 2, 3, 1733 List the prime factors of 121830. 2, 3, 5, 31, 131 What are the prime factors of 5775? 3, 5, 7, 11 What are the prime factors of 1561? 7, 223 List the prime factors of 63957. 3, 21319 List the prime factors of 1394. 2, 17, 41 What are the prime factors of 39781? 7, 5683 List the prime factors of 74227. 199, 373 List the prime factors of 3119. 3119 What are the prime factors of 10335? 3, 5, 13, 53 What are the prime factors of 1304? 2, 163 List the prime factors of 55857. 3, 43, 433 List the prime factors of 994. 2, 7, 71 List the prime factors of 120030. 2, 3, 5, 4001 What are the prime factors of 95662? 2, 7, 6833 What are the prime factors of 21844? 2, 43, 127 What are the prime factors of 2209? 47 What are the prime factors of 2385? 3, 5, 53 List the prime factors of 181345. 5, 36269 What are the prime factors of 77431? 77431 What are the prime factors of 6011? 6011 List the prime factors of 73523. 73523 List the prime factors of 5207. 41, 127 List the prime factors of 8602. 2, 11, 17, 23 List the prime factors of 36246. 2, 3, 7, 863 What are the prime factors of 1563? 3, 521 What are the prime factors of 2992? 2, 11, 17 What are the prime factors of 301? 7, 43 What are the prime factors of 1132? 2, 283 List the prime factors of 44108. 2, 11027 What are the prime factors of 105791? 7, 17, 127 List the prime factors of 51729. 3, 43, 401 List the prime factors of 17475. 3, 5, 233 List the prime factors of 21691. 109, 199 List the prime factors of 17677. 11, 1607 What are the prime factors of 15350? 2, 5, 307 What are the prime factors of 4752? 2, 3, 11 What are the prime factors of 8527? 8527 List the prime factors of 5119. 5119 List the prime factors of 11862. 2, 3, 659 What are the prime factors of 2918? 2, 1459 List the prime factors of 2331. 3, 7, 37 List the prime factors of 17175. 3, 5, 229 What are the prime factors of 1360? 2, 5, 17 What are the prime factors of 101737? 101737 List the prime factors of 538. 2, 269 List the prime factors of 24406. 2, 12203 What are the prime factors of 2619? 3, 97 List the prime factors of 7432. 2, 929 What are the prime factors of 3540? 2, 3, 5, 59 What are the prime factors of 1135? 5, 227 What are the prime factors of 1833? 3, 13, 47 List the prime factors of 2743. 13, 211 What are the prime factors of 238? 2, 7, 17 List the prime factors of 532. 2, 7, 19 List the prime factors of 1579. 1579 List the prime factors of 3327. 3, 1109 List the prime factors of 11666. 2, 19, 307 What are the prime factors of 701? 701 List the prime factors of 3732. 2, 3, 311 List the prime factors of 1150. 2, 5, 23 List the prime factors of 19760. 2, 5, 13, 19 List the prime factors of 245. 5, 7 What are the prime factors of 3711? 3, 1237 List the prime factors of 5793. 3, 1931 List the prime factors of 7545. 3, 5, 503 List the prime factors of 57591. 3, 79 What are the prime factors of 849? 3, 283 List the prime factors of 4816. 2, 7, 43 List the prime factors of 90686. 2, 45343 List the prime factors of 72038. 2, 181, 199 What are the prime factors of 7092? 2, 3, 197 What are the prime factors of 10363? 43, 241 List the prime factors of 7140. 2, 3, 5, 7, 17 List the prime factors of 4403. 7, 17, 37 List the prime factors of 8733. 3, 41, 71 List the prime factors of 33757. 33757 List the prime factors of 45. 3, 5 What are the prime factors of 10503? 3, 389 List the prime factors
{ "pile_set_name": "DM Mathematics" }
4.78 -4984 * 1.3386 -6671.5824 56 times -3.03605 -170.0188 Product of 30454993 and -20. -609099860 Work out 0.3 * -4162077. -1248623.1 -340.41703 * 0.04 -13.6166812 131435 times 502 65980370 Calculate -3*-3484852. 10454556 347 times -13796 -4787212 -0.4 times 21.75003 -8.700012 Work out 160 * 4349014. 695842240 -48 * -913756 43860288 -146299*0.0338 -4944.9062 Calculate -102.5783*-4. 410.3132 What is 236477 times -36? -8513172 283.8 * -0.1 -28.38 18881*-1390 -26244590 Work out -0.2 * 2.59551. -0.519102 Work out -83 * -767146. 63673118 Product of 21 and -2.46825. -51.83325 -15938725 times -0.1 1593872.5 Multiply -204.07 and -736. 150195.52 Multiply 5 and 1503976. 7519880 158160973*4 632643892 -5679479 times 0.5 -2839739.5 Product of -39863438 and 0.1. -3986343.8 Product of -84 and -426101. 35792484 Multiply 6962.8 and -3728. -25957318.4 Calculate -855758*-0.117. 100123.686 Work out 62944591 * -0.3. -18883377.3 Calculate 753300*0.254. 191338.2 Product of 0.1 and 24259.8524. 2425.98524 -80006 times 0.191 -15281.146 Product of 440382 and 24. 10569168 Product of 53 and 274751. 14561803 0.1 times 6462769 646276.9 Work out -367.81 * 7418. -2728414.58 What is the product of -459 and 436989? -200577951 What is the product of 26058863 and 0.2? 5211772.6 14197776 * 0.2 2839555.2 179.8 times -815.24 -146580.152 What is -0.4 times 1320122? -528048.8 What is the product of 0.5 and -44320560? -22160280 What is the product of -1.9 and 2.50039? -4.750741 -0.6 * 0.794004 -0.4764024 Work out -198 * -3809. 754182 14909 times -1.4625 -21804.4125 169469 times -0.2 -33893.8 What is -0.7 times -26338323? 18436826.1 1.8*241940 435492 3.4 times -9585451 -32590533.4 -5 * 23.1638 -115.819 Calculate -0.306055*-44. 13.46642 Calculate -274*-532.7. 145959.8 0.3 times 69.4 20.82 What is 4.2 times 0.0484126? 0.20333292 What is -20 times 316652? -6333040 Product of -0.1 and 105171. -10517.1 -533 * -11724.3 6249051.9 Multiply -0.18285 and -99. 18.10215 What is 3 times 211139956? 633419868 -1 times 10460.208 -10460.208 Work out -3.84 * -3011. 11562.24 -217109 times 0.52 -112896.68 Multiply 0.4 and 9.539389. 3.8157556 What is the product of 0.3392 and 403.52? 136.873984 What is 5 times 302.3841? 1511.9205 Product of -275.1 and -3.71. 1020.621 Work out 0.5100293 * 78. 39.7822854 -9 times -171217 1540953 30.66531 times 5 153.32655 What is the product of 0.55 and 1.999043? 1.09947365 0.04 * 1275.373 51.01492 0.2 * -420529752 -84105950.4 -352.2*-5945 2093829 -7*1157126 -8099882 Product of -1.57 and -1388. 2179.16 What is -0.18939 times -829? 157.00431 Product of -17813 and -1485. 26452305 What is the product of 1.3 and 700689? 910895.7 What is -0.03 times -316.6032? 9.498096 What is 50 times -1511282.3? -75564115 -5 times -0.09688199 0.48440995 What is -618 times -200625? 123986250 What is -393863 times -42? 16542246 20.7488 * 0.4 8.29952 1*2588660 2588660 23461316 times 4 93845264 -278942156 times 5 -1394710780 Multiply -11.4 and 661816. -7544702.4 Work out 3472 * -0.1262. -438.1664 Product of 0.1412243 and -0.12. -0.016946916 5.821 * -0.0201 -0.1170021 Calculate -197035*2. -394070 -182200.4 * -0.1 18220.04 -5278.17 * 42 -221683.14 What is the product of 0.2 and 774438? 154887.6 Work out -1 * 190137. -190137 Multiply 24.85 and -1449.7. -36025.045 Product of -10 and -19140208. 191402080 Product of 234.3677 and -3.7. -867.16049 -3 * -6705434 20116302 Calculate -2983*10211. -30459413 -33.5 times 764 -25594 Multiply 1 and 1062.30507. 1062.30507 6767 * 2735 18507745 What is 0.2 times 227522526? 45504505.2 -12682*-51 646782 What is the product of 20045388 and -2.1? -42095314.8 27 times 3901372 105337044 Product of -29.5 and 15127.9. -446273.05 -26756439*0.3 -8026931.7 Multiply 2 and 47122023. 94244046 44926 times -65 -2920190 Product of -0.266 and 4751. -1263.766 Product of -7.5 and 0.071927. -0.5394525 Multiply -18157983 and 0.2. -3631596.6 What is -68978251.4 times 0.2? -13795650.28 Multiply -3531678 and 1. -3531678 Calculate -287196*-1.032. 296386.272 5589364*-0.2 -1117872.8 Work out 2.2246285 * 5. 11.1231425 5.6*70.98 397.488 -3 times -10549395.3 31648185.9 What is -32655 times -1512? 49374360 959344*0.02 19186.88 Multiply -1.6 and 0.1248254. -0.19972064 0.03*3251904 97557.12 Product of 3.7 and 0.15535. 0.574795 -11098 times 249 -2763402 Multiply 0 and 3.634861. 0 0.5 * -2.165688 -1.082844 What is the product of -0.3659 and 5333? -1951.3447 What is the product of 146.62398 and 1? 146.62398 What is the product of 22677 and -280.5? -6360898.5 Work out -20503 * -218. 4469654 Product of -2.23742 and 0. 0 Calculate 78.1537*0.01. 0.781537 Calculate -37154*596. -22143784 0.4 times 109.4227 43.76908 What is the product of 0.6177 and -0.0792? -0.04892184 Product of 32.8413 and -198. -6502.5774 Product of 568676.73 and 0.4. 227470.692 Calculate -35879*0.0409. -1467.4511 Calculate 0.4*1078.864. 431.5456 0.65851*1.6672 1.097867872 Multiply 4256 and -3.885. -16534.56 What is -38963.92 times -0.1? 3896.392 Product of 4992044 and 0.17. 848647.48 0 * -5823.8394 0 -791.7*-39.989 31659.2913 What is the product of 28.82 and -27.2132? -784.284424 What is the product of -0.09998129 and -0.5? 0.049990645 -0.005 times -0.020867 0.000104335 -30117 times 0.238 -7167.846 Multiply 321 and 2.8301. 908.4621 12 times -6525.71 -78308.52 111 times 28107.3 3119910.3 Product of -5.42 and 19.3866. -105.075372 What is -22970215 times -0.18? 4134638.7 Calculate 109588*6911. 757362668 Product of 2162118.6 and -3. -6486355.8 2429 * -0.42766 -1038.78614 1.19*-1699.47 -2022.3693 What is 29.5 times -2427? -71596.5 1299377 * 0.059 76663.243 Work out 90811 * 459. 41682249 -0.89*-34620.86 30812.5654 -0.3 times 22568147 -6770444.1 What is -4 times -245861.1? 983444.4 Product of -0.2 and 6119.1115. -1223.8223 Work out -5 * -1809.5227. 9047.6135 Work out -0.1386604 * 0.047. -0.0065170388 Product of -381 and 71581. -27272361 What is the product of 14353991 and -0.17? -2440178.47 1*-6511794 -6511794 16 times 12508869 200141904 Calculate -0.6407647*0.2. -0.12815294 -3485978*-5 17429890 91.89189 times 0.4 36.756756 Product of -155895150 and -0.4. 62358060 0.18 times 0.40436482 0.0727856676 Work out -138.87 * -23.5. 3263.445 Multiply 0.9 and -15085. -13576.5 What is -7.4 times -92105? 681577 154561*-7.15 -1105111.15 6027731*0.04 241109.24 What is -53053 times 0.025? -1326.325 Calculate -544.3686*4.1. -2231.91126 305*-2338410 -713215050 23 times -717506.9 -16502658.7 What is -503808 times -1108? 558219264 Multiply 5.2 and 32197.94. 167429.288 Product of 30523.95 and 7. 213667.65 -0.04*340585 -13623.4 What is 0.2 times -2938.502? -587.7004 Multiply 4 and -24715584. -98862336 Product of 0.3 and -9529302. -2858790.6 -1118 * -0.3571 399.2378 2 * -750337 -1500674 Product of 14.7002 and 687. 10099.0374 0.199 * -76.08 -15.13992 What is 14.27 times 1.08998? 15.5540146 -17065614 * 0.1 -1706561.4 What is 28793315 times 4? 115173260 -276151773 times 2 -552303546 -0.01 * 4.29115 -0.0429115 What is -11507.431 times -2.7? 31070.0637 Product of -138238 and -3801. 525442638 -451923 * 0.03 -13557.69 -87329.629*-0.5 43664.8145 Work out -4 * 4573.737. -18294.948 -9477 * 7484 -70925868 Product of -2719925 and 0. 0 Product of 892 and -86.6851. -77323.1092 60824 times -51 -3102024 Product of 0.526 and -2648.2. -1392.9532 -2354*0.01517 -35.71018 1668 * -0.04379 -73.04172 -1466.2 * -210.9 309221.58 Calculate 3798961*7.1. 26972623.1 What is the product of -2371 and 2075? -4919825 Product of -1886502 and 0.5. -943251 -69858693*0.1 -6985869.3 -54381*-0.9501 51667.3881 Multiply 206.2 and -12.015. -2477.493 Calculate -39*-1776.48. 69282.72 What is the product of 1 and -2284.40966? -2284.40966 Product of -15.812 and 0.0997. -1.5764564 What is the product of 0.5 and -33963697? -16981848.5 64 times 4089981 261758784 -0.1866 * 23117 -4313.6322 Work out 0.198 * -6222. -1231.956 -0.56*26126978 -14631107.68 What is the product of 0.324 and -66.505? -21.54762 Product of 3 and -1373.796. -4121.388 -91695 * 49.9 -4575580.5 Product of -4896556 and -11. 53862116 0.8 * -0.19327 -0.154616 What is 155620.3 times -4? -622481.2 561140.37 * 0.5 280570.185 Product of -39 and 161022. -6279858 -0.02 times -6.937001 0.13874002 Calculate 8*-1992326. -15938608 -1.7*-0.118 0.2006 -69 tim
{ "pile_set_name": "DM Mathematics" }
+ 25/2. Calculate the common denominator of f and (0 - 2) + (-87)/(-10). 30 What is the common denominator of 37/18 and 244/(-40)*(-1)/(-2)? 180 What is the common denominator of 28/5 and (2*3/(-9))/((-60)/27)? 10 Let x = 643/48906 - 1/198. Let j = x - 10657/4446. Calculate the common denominator of 11/8 and j. 72 Let i = -107 - -118. Suppose w + 55 = 4*d, 4*d - d = -4*w + 27. Suppose -5*v + 53 - d = 0. Calculate the least common multiple of i and v. 88 Suppose -2*h - 4 = -2*a, -4*a - h = 2*h - 15. Suppose -3*d - p + 3 + 7 = 0, 3*d = a*p + 18. Calculate the smallest common multiple of 8 and d. 8 Suppose 2*u = -23 - 13. What is the least common multiple of (-45)/u - (-1)/(-2) and 22? 22 What is the least common multiple of 7 and (-212)/(-16) + 6/8? 14 Let r = 35 - 19. Calculate the least common multiple of r and 12. 48 Let g = -14 + 24. Find the common denominator of g*(-1)/(-28)*-19 and 202/44 - 0 - 3. 154 Suppose -3*i = -2 - 40. Suppose 36*u - 24 = 32*u. What is the smallest common multiple of 3*(i/3 - 0) and u? 42 Suppose k + 2*k - 6 = 0. Let j(v) be the second derivative of v**4/12 + 2*v**3/3 - v**2/2 + v. Calculate the lowest common multiple of j(-5) and k. 4 Let x = -1 + -2. Let r = x - -5. Calculate the lowest common multiple of (-8)/(-3)*-3*-1 and r. 8 Let f = 216/53 - 2155/1166. Calculate the common denominator of f and -3/56. 616 Suppose -6*q + q + 15 = 0. Suppose -3*p - 2*j = -p + 58, 2*p + q*j = -63. What is the common denominator of -6/11 and (-3)/12 - 322/p? 66 Suppose 0 = -2*i + 4*r + 72, r + 0*r + 81 = 2*i. Calculate the common denominator of 1/5 and i. 5 Suppose 5*m - 3 - 13 = -2*f, -16 = -2*m - 4*f. Suppose -4*p = -m*u + 2, 2*u - u = -p + 4. Calculate the lowest common multiple of -2*-14*u/12 and 8. 56 Suppose -3*x + 7 = 2*i, -3*x + 6*i - 3*i = 3. Let j = -1 - -5. Let p = j + x. What is the smallest common multiple of 6 and p? 30 Let h = -5478182/9 - -1013449858/1665. Let d = -1/222 + h. Calculate the common denominator of (14/(-10))/(36/40) and d. 90 Suppose 0 = -5*n - 2 + 32. Find the common denominator of -93/10 and (-223)/(-66) - 2/n. 110 Let h = 2430/13 + -32889/182. Calculate the common denominator of h and -17/16. 112 Let w = -115133/12 - -9588. Calculate the common denominator of w and 23/(-14) + (-2)/(-1). 84 Suppose -2*w = 1 - 19. Suppose 3 + 17 = 4*z. Calculate the smallest common multiple of w and z. 45 What is the smallest common multiple of 20 and 3/6*(18 + 6)? 60 Let u(j) = -j**3 + 3*j**2 - 3*j + 3. Let k be u(2). Let d be 6/(-2) - (-4)/2. What is the smallest common multiple of 11 and (-11 - 0)/(k/d)? 11 Let t = -11267/12 - -941. What is the common denominator of t and 1/8? 24 Let u = 11 + -2. Suppose -m + 6 = -i + 4*i, 0 = 4*i - 2*m - 8. Calculate the least common multiple of u and i. 18 Suppose 7 = 3*n + 1. Suppose -5*s = -4*u - 46, -2*s + 3*u + 2*u + 15 = 0. Calculate the lowest common multiple of s and n. 10 Let i = -1693804420267/2900 - -584070498. Let n = i + -2/725. Let h = 524/3 - 181. Find the common denominator of n and h. 12 Suppose h + 68 = -5*i, 4*h + 244 = 4*i - 4. Calculate the smallest common multiple of 6 and (-30)/((h/6)/7). 60 Suppose x = 2*b + 2*x - 52, 3*x + 108 = 5*b. What is the smallest common multiple of 6 and b? 24 What is the least common multiple of 182 and 9/(-6) + 33/6? 364 Calculate the common denominator of 77/4 and ((-2)/(-12))/(2 + 455/(-220)). 36 Suppose -c + 18 = -0*c. Find the common denominator of 0 + (-165)/c - 1 and 19/20. 60 Let x be (-1)/(-2) + 1/2. Calculate the common denominator of -33/16 and x + 10/12 - -2. 48 Suppose -15 = 7*h - 2*h, 23 = 4*y - h. Suppose 5*i - 220 = -y*j, -5*i - 37 - 13 = -j. Calculate the common denominator of 95/6 and j. 6 Suppose 4*i - 10 = -2. Suppose 5 - 17 = -4*x + 3*f, 0 = -5*x + i*f + 22. Find the common denominator of 63/8 and 6/18*(-2)/x. 72 Let g be (-8)/(-2) + 22/(-11). Calculate the smallest common multiple of 30/g - (-3)/(-1) and 18. 36 Suppose 5*a = -3*v - 1 + 36, v = 4*a - 11. Let d(k) = 4*k**3 - 3*k**2 + 4*k. Let w be d(v). Calculate the common denominator of 67/6 and 2 + -4 - w/60. 12 Suppose 5 - 23 = -3*d. Suppose -5*m + 39 = -d. Find the common denominator of 49/11 and ((-320)/m)/(-5) + 0. 99 Suppose -f + 0*f = 4*d - 70, 0 = 3*d - 5*f - 64. Suppose -2*l = -l - d. Let k = 38 - 16. Calculate the least common multiple of k and l. 198 Find the common denominator of 0 + ((-120)/(-29))/4 and 27/8. 232 Let p be 3 + (-27 - 1) + 1. Calculate the common denominator of (-251)/p - 3/9 and -77/4. 8 Let l be (-4)/6 + (-24614)/(-660). Let h = 470/11 - l. Calculate the common denominator of 35/4 and h. 20 Let y = 7361/1056 - 211/96. Let q(k) = k**3 - 9*k**2 - k + 13. Let j be q(9). Find the common denominator of (-6)/j - (-136)/22 and y. 22 Let c(g) = g + 20. What is the least common multiple of 20 and c(-12)? 40 Let r = -7154 + 4914. Let k = r + 24669/11. Find the common denominator of -49/6 and k. 66 Calculate the common denominator of -67/33 and 2/(-8) + (-255)/1620. 297 Calculate the common denominator of -145/6 and (-105)/(-18) - (-2 + -2). 6 Let f(w) = 10*w. Let v be f(5). Calculate the common denominator of -1 - (285/(-35))/1 and (3/4)/((-3)/v). 14 Let n(k) = 2*k**2 - k - 3. Calculate the lowest common multiple of 12 and n(-3). 36 Let d = 73737/14 + -73377/56. Let k = -3945 + d. Let c = -845/2 - -433. What is the common denominator of c and k? 8 Let t be (-147)/(-12)*(1 + -9). What is the common denominator of (t/(-48))/((-2)/(-6)) and -95/6? 24 Let p(n) = 6*n**2 - n + 1. Let c be p(1). Calculate the common denominator of c*(-62)/(-32) - 1 and (66/(-9))/((-65)/27 + 3). 8 Let l(s) = s**3 - 14*s**2 + s - 11. Let t be l(14). Suppose -22 = -3*w + 2*c, -2*w + 0*w + t*c + 13 = 0. What is the smallest common multiple of 5 and w? 40 Let w = -431/5 - -3503/40. Let t = 13/16 - w. What is the common denominator of -75/4 and t? 16 Let w be (0 - -1) + 0 + -23. What is the common denominator of (-6)/(-9) - (-322)/12 and (-6)/(-32)*w/6? 16 Suppose 5*j = 3*k - 730, -3*k = k + 3*j - 1012. Suppose -3*n - 2*m = 6, -5 = 5*n + 5*m - 0*m. What is the common denominator of (-1 - k/n)/15 and 133/18? 90 Suppose -2*n = 2*n + 4. Let c be (n - -6)*(-3)/(-5). Find the common denominator of -15 - (-2 - (-7)/c) and -16/5. 15 Let p be -12 + 3 + (-4 - -7). What is the common denominator of -40 and (p/120)/(2/(-172))? 10 Let l be ((-129261)/20)/(48/(-40)). Let d = -5379 + l. What is the common denominator of -17/10 and d? 40 Let y(t) = t**2 + 2*t - 2. Let g be (-27)/6 + 2/4. Calculate the lowest common multiple of 2 and y(g). 6 Let i = 4 - 0. What is the least common multiple of 11 and i? 44 Let z(o) = 2*o**2 - 4*o - 4. Let m = 9 + -5. Calculate the lowest common multiple of z(-2) and m. 12 Let x = -9492 + 94809/10. Let r = 8 + 12. Calculate the common denominator of (-127)/r + (-1)/(-1) and x. 20 Suppose -4*u + 23 = -5*x, -u = x + 2*x + 7. Calculate the smallest common multiple of 1 and x/5 - 112/(-20). 5 Let z(n) = -13*n**2 + 2*n - 1. Let b(l) = -40*l**2 + 6*l - 3. Let o(r) = 2*b(r) - 7*z(r). Calculate the common denominator of 447/(-60) + 2/8 and o(1). 5 Suppose -13*w + 9*w = -80. What is the least common multiple of w and 26? 260 Let o(u) = 5*u**3 + 4*u**2 + 3*u. Let h = 14 + -10. Let b be o(h). Let x = 1178/3 - b. Calculate the common denominator of x and 22/7. 21 Let z(s) = -613*s - 2. Let j be z(3). Let d = j + 12927/7. Calculate the common denominator of 81/2 and d. 14 Let j = -349/10 + 37. Let o = 7334 - 102719/14. Find the common denominator of j and o. 70 Let o = 2 - 1. Let c be (-26)/(-117) - (-25)/9. Suppose t + 3 = -x - 2*t, 5*t - c = -3*x. What is the smallest common multiple of o and x? 6 Let d = 2 + 5. Suppose -14 = 3*z + d. What is the smallest common multiple of 10 and (-2)/7 - 51/z? 70 Let h be (-726 - 2 - 0) + 2. Let j = 4057/10 + -404. Calculate the common denominator of j and (-3)/(-9)*h/(-20). 10 Let r be (-759)/4*(-23)/(-3). Let n = 1471 + r. What is the common denominator of n and 83/8? 8 Let y = 623154661/224 - 2781947. Let z = -19/32 + y. Find the common denominator of z and -28/3. 21 Let b(l) = l**3 + 6*l**2 + l. Let d be b(-6). Calculate the common denominator of -19/2 and (-3)/d + 201/(-60). 20 Let o(f) = -f**2 - 7*f - 8. Let v be o(
{ "pile_set_name": "DM Mathematics" }
maller: 5 or 85/14? 5 Which is greater: 45946 or 45947? 45947 Which is bigger: -30/17 or -1? -1 Which is smaller: -24/11 or -2? -24/11 Is 1 at least 745? False Which is bigger: -497 or -523? -497 Which is bigger: -27 or 18? 18 Are -0.018 and -1/5 equal? False Are -9/5 and -2.6 equal? False Is 117/7 > 1/4? True Which is smaller: -4 or -0.1? -4 Is 41 less than 47? True Which is greater: 1 or 28/43? 1 Which is smaller: 3/8 or -26? -26 Do -1/299 and 1 have different values? True Do 1/11 and -13/10 have different values? True Do -1 and -1/40486 have the same value? False Are -1920 and -1922 equal? False Is 1772 at least as big as 1772? True Does 47 = 356? False Which is smaller: -1 or -2/97845? -1 Which is smaller: -2/10931 or 1? -2/10931 Is 207 smaller than 4? False Is 105 less than -2? False Is 0.4 != 2? True Which is greater: 782 or 780? 782 Which is greater: 2882 or 37464/13? 2882 Is -25 greater than -212/9? False Which is smaller: 0 or 1/139? 0 Is -80/21 at least -3? False Is 727 at least 727? True Is 1 > 3910? False Which is smaller: -1 or 7/34? -1 Is -114 at least as big as -1/2? False Which is greater: -250 or -251? -250 Is 1 > -42/1045? True Which is greater: 1 or 8/175? 1 Is -3412 less than -3411? True Is -2/2177 < -1? False Are -4749 and -4748 non-equal? True Which is smaller: 0 or 5/7286? 0 Is -9 less than 2/11? True Is -11 at most as big as -276/25? False Is -2/455 equal to 0? False Do -1/6 and 49.1 have different values? True Are 57 and -3/8 non-equal? True Which is bigger: 99 or 64? 99 Do -2 and 54 have different values? True Is 93 != 93? False Which is greater: -1 or -4/673? -4/673 Is 102/397 at most 0? False Which is bigger: -68/73 or 0? 0 Is 507/7 equal to 73? False Which is smaller: 209 or 1874/9? 1874/9 Which is greater: 75 or 78? 78 Is 544 not equal to 16? True Does -20.1 = -1.9? False Which is smaller: 9/17 or 0.13? 0.13 Is -298/5 bigger than -61? True Which is bigger: -29 or 8? 8 Which is smaller: 0.13 or -0.0273? -0.0273 Which is smaller: 0 or 2/3435? 0 Is -10337/5 > -2068? True Is 0 <= 10/761? True Is 0.5 >= 131? False Is 12809 at least as big as 12810? False Do 61 and 33 have the same value? False Which is smaller: -57 or -222? -222 Is -0.2 greater than 1/179? False Is 0 <= 1212? True Which is bigger: -1323 or 3? 3 Is -1238/5 at most -248? False Is 150 < 146? False Which is smaller: -4594 or -4595? -4595 Is -239 less than -212? True Which is smaller: 4 or 2/131? 2/131 Is -262 at most as big as -2360/9? False Do 1396 and 1396 have the same value? True Which is greater: -11/26 or -1? -11/26 Which is smaller: 20 or 8? 8 Which is bigger: 547 or 546? 547 Which is smaller: -1512 or -1511? -1512 Which is greater: 643 or 635? 643 Is -891/8 greater than -110? False Is -2/5 <= -51/14? False Which is greater: 199/3 or 67? 67 Is 140/9 less than 1/54? False Which is smaller: -4 or 991? -4 Which is bigger: 702 or 704? 704 Which is smaller: -11 or -37? -37 Is -0.2 > 0.028? False Is -10 at most as big as -286/29? True Which is smaller: 2/1231 or 0.14? 2/1231 Is 1 at most as big as -35? False Which is bigger: 1966 or 1964? 1966 Is -0.3 bigger than -1610? True Which is greater: -0.22293 or 0? 0 Is 313 bigger than 317? False Which is bigger: -5949 or -5947? -5947 Which is bigger: 20 or -1/7? 20 Is -22/279 less than 0? True Which is bigger: 1.5 or -42? 1.5 Which is bigger: 921 or 919? 921 Does 0.54 = 9? False Which is smaller: -778 or -5444/7? -778 Are 9/4 and -12.3 equal? False Is -126 != -121? True Which is greater: -587/6 or -97? -97 Which is smaller: -159/5 or -11? -159/5 Is -8 >= -8? True Which is bigger: 162 or 160? 162 Is 301 less than 4? False Is 46 at least 24? True Which is smaller: 2 or 2/439? 2/439 Which is smaller: -3 or -209? -209 Which is smaller: -138 or -134? -138 Which is greater: -65524/5 or -13106? -65524/5 Is 5/186 greater than or equal to 0? True Is 193 less than or equal to -3? False Is 0.5 greater than 924? False Which is smaller: 1/146 or -1/3? -1/3 Is -9/286 > 1? False Is 56 bigger than -1/6? True Is -354 > -358? True Is -2/7 at most as big as 180? True Is 0.01 >= 24? False Are 343/8 and 43 unequal? True Which is smaller: 8/63 or -1? -1 Which is smaller: 1377 or 1378? 1377 Which is bigger: -165 or -2? -2 Which is smaller: 3/209 or 1? 3/209 Is 1 greater than or equal to 6/107? True Which is greater: 3/3011 or 0? 3/3011 Is 6 != 18? True Which is greater: -21226 or -21227? -21226 Which is smaller: -1/118 or -1? -1 Which is greater: 0.3 or 1/264? 0.3 Which is greater: 10878 or -1/4? 10878 Which is bigger: 30 or 21? 30 Which is smaller: 1077 or 1075? 1075 Which is smaller: 313 or -2? -2 Which is smaller: -24227 or -24228? -24228 Which is greater: -4/11 or 0.403? 0.403 Which is bigger: -3/13 or -12? -3/13 Which is smaller: 0 or 6/361? 0 Is -1/166 bigger than 3/16? False Is 11956 greater than -1/2? True Is -1418 smaller than -1419? False Which is smaller: 10/261 or -1? -1 Which is smaller: 0 or -138? -138 Is -1616 > -1617? True Which is greater: -2 or -82/57? -82/57 Is 1 <= 727? True Which is smaller: 164/397 or -1? -1 Is 5/72 <= -7? False Which is smaller: 0 or 1/10392? 0 Which is smaller: -203 or -210? -210 Which is smaller: 2/7 or 21899? 2/7 Which is smaller: -2 or -74/23? -74/23 Is 0 > 39/55? False Which is smaller: 24 or 28? 24 Which is smaller: 791 or 793? 791 Which is bigger: 29/62 or 0? 29/62 Is 1/4 at most 3.2? True Is 104/15 < 6? False Which is greater: 8/21 or -5? 8/21 Is 1 < -1/385? False Does -3 = -65/16? False Which is bigger: -4 or 1070? 1070 Is -224 less than -220? True Is -0.1 equal to 57? False Which is bigger: 1.472 or -2/3? 1.472 Is -75/23 < -2? True Which is smaller: -1443 or -1? -1443 Which is bigger: -3 or -1953? -3 Is 1.9 at least as big as 1/2? True Are 319 and 318 non-equal? True Which is greater: -1/108 or 1? 1 Which is smaller: 2 or -24.92? -24.92 Is -1470 at most 5? True Which is smaller: 5194/5 or 1038? 1038 Which is smaller: 9/2023 or -1? -1 Is 2818 <= 2817? False Is -7231 at most as big as -7230? True Which is bigger: -1/19593 or 0? 0 Is 4 less than or equal to 409? True Which is smaller: -300 or 2/7? -300 Which is greater: 19.612 or 0.1? 19.612 Which is bigger: 291 or -11? 291 Which is smaller: -1 or -1/48369? -1 Which is greater: -4 or 6? 6 Which is greater: 80 or 1109/14? 80 Which is bigger: -230.33 or -1? -1 Is -297 <= -0.2? True Which is greater: -2246 or -13477/6? -2246 Which is bigger: -3819 or 4? 4 Which is bigger: 2/19 or -0.012? 2/19 Does -2 = -1530? False Which is smaller: -914 or -904? -914 Is 1 != 3179? True Is 9214 at least as big as 9215? False Do -1 and -1/53154 have different values? True Which is greater: 2809 or -0.2? 2809 Which is bigger: -1 or -1/718? -1/718 Is 2 <= 2/75? False Is -8 less than or equal to -7? True Which is smaller: -110 or -548/5? -110 Which is greater: 2/9 or -3/799? 2/9 Is 384 greater than 381? True Which is greater: 89 or 788/9? 89 Is -1 at least as big as 7/1104? False Is -1 smaller than 2/521? True Is -994 greater than 2? False Is -4 at least as big as -328/89? False Is 45 less than or equal to -2? False Is 3 greater than or equal to 3? True Is 4555 equal to 4555? True Is -3.75 less than 0.08? True Is -0.1 < 0.533? True Is -2/74599 at most -1? False Which is smaller: -15 or -70? -70 Is 2.7 less than -2.3? False Which is greater: -31 or 22? 22 Is -2/3091 greater than or equal to 1? False Which is bigger: 1594 or 1595? 1595 Is -18 greater than or equal to -18? True Which is bigger: 4 or 41/12? 4 Which is greater: -0.092 or -2/49? -2/49 Which is smaller: -31 or -21? -31 Which is bigger: 305 or 304? 305 Are 48 and 48 equal? True Which is smaller: -3172/19 or -166? -3172/19 Is -2/2151 not equal to 3? True Is 69 at most as big as -1/4? False Is -2835 equal to -2835? True Do -127 and -128 have the same value? False Are 1/57 and -0.462 non-equal? True Is -3/22 less than 0? True Is -11 != -48? True Are 2/21 and 560 unequal? True Is 12134 at most 12132? False Which is smaller: -2621/5 or -524? -2621/5 Is 420/41 at least as big as 10? True Which is greater: -64 or -69? -64 Is 0.06093 >= -2/3? True Which is greater: 0 or 1/1606? 1/1606 Which is greater: 6/1171 or 0? 6/1171 Which is bigger: -0.1 or -3620.3? -0.1 Is 134 >= 135? False Which is bigger: -1 or 20
{ "pile_set_name": "DM Mathematics" }
- 5002*q = -9967*q + 2576 for q. -46 Solve -83*a - 1313 = 928 for a. -27 Solve 205*g + 203*g - 65648 = 460*g + 694*g for g. -88 Solve -798*v - 869 = 29 + 7082 for v. -10 Solve 5342*j + 516 = 2668*j + 2668*j for j. -86 Solve 811*s - 1751*s + 5516 = 1428*s - 1588 for s. 3 Solve 36752*j - 1523325 = 12638*j - 1417478 + 2980745 for j. 128 Solve 138*w = 1105 + 445 - 446 for w. 8 Solve 76 - 99 = -17*h + 38 + 92 for h. 9 Solve -157684 = -7*h - 158090 for h. -58 Solve -54*t + 1010 = -837 + 173 for t. 31 Solve 3650*z = -577*z - 126694 - 50840 for z. -42 Solve -246*d - 250*d - 5625 + 21339 = -205*d for d. 54 Solve -3564576*w + 3564524*w = -3068 for w. 59 Solve -8741*i - 107955 = 177763 + 130512 - 31626 for i. -44 Solve -53*m - 95*m + 70*m - 2964 = 0 for m. -38 Solve 9171*q - 39760 = 10307*q for q. -35 Solve -842*w - 689*w = -1680*w - 3129 for w. -21 Solve 1204*f - 26730 = -9874 for f. 14 Solve -2021*w - 96264 = 653*w for w. -36 Solve -3296*i = -3259*i - 111 for i. 3 Solve -114*r + 7651371 = 7652625 for r. -11 Solve 7*k + 32*k + 4704 = -108*k for k. -32 Solve -70*r - 985 = -251*r + 1549 for r. 14 Solve 0 = 293*i + 234*i - 568*i + 60 - 2151 for i. -51 Solve 251*r - 356*r = 959*r - 8512 for r. 8 Solve 2140*v + 107350 = 966*v - 3120*v for v. -25 Solve -16123*a - 297 = -8064*a - 8026*a for a. -9 Solve -35289*v + 17697*v = -17711*v - 1547 for v. -13 Solve -12947*i + 22020 = 4056*i - 11986 for i. 2 Solve -191025 = 7015*f + 626*f for f. -25 Solve 384*w - 31935 + 46527 = 0 for w. -38 Solve 127 + 63 - 20 = 93*u - 16 for u. 2 Solve 68938*g - 121 = 69059*g for g. -1 Solve 1213*i = 3439*i + 129108 for i. -58 Solve -221*p + 18895 + 6480 = 504*p for p. 35 Solve 3628 = -800*p - 764*p - 7320 for p. -7 Solve 192*f = 87*f + 115*f - 10 for f. 1 Solve 0 = 2849*g + 169121 + 204098 for g. -131 Solve -481*u - 52904 + 2399 = 0 for u. -105 Solve 0 = -524*z + 1047*z - 13589 - 20406 for z. 65 Solve -4754 = 89*d - 119 - 808 for d. -43 Solve 788 = -188*b + 222*b + 86 - 46 for b. 22 Solve -78*t + 1908 + 1188 = -492 for t. 46 Solve -5661 = 547*a - 59267 for a. 98 Solve -70*q + 996 - 3636 = 650 for q. -47 Solve -42675*c + 103822 = -40418*c for c. 46 Solve -1740*p - 1895*p + 1193166 = -1591*p + 13253*p for p. 78 Solve 75*h - 300*h - 13320 = 1080 for h. -64 Solve 3730 - 78791 = -1568*t - 12983 + 30434 for t. 59 Solve -1422 = -7622*j + 15336*j - 7597*j + 1386 for j. -24 Solve 709*x + 418*x + 894*x = 40420 for x. 20 Solve 38*g = 6795 - 7631 for g. -22 Solve 3747*p - 93870 - 48582 = -45030 for p. 26 Solve 134*m + 46*m + 769 = 37*m - 4951 for m. -40 Solve 13*w = 110*w + 59*w - 7043 - 289 for w. 47 Solve -29*d - 33*d = 53*d + 901 + 4849 for d. -50 Solve -22*l + 80 = -21*l + 38 + 36 for l. 6 Solve 0 = -249491*f + 249644*f + 14229 for f. -93 Solve 153812 = 7115*l + 35223 - 315426 for l. 61 Solve 39886 = -35181*v + 35995*v for v. 49 Solve 59*q = 46*q - 50*q + 54*q + 288 for q. 32 Solve -55*m + 32815 = 30175 for m. 48 Solve -661*y + 88*y - 14058 = 1077 + 336 for y. -27 Solve -2418*d - 148215 = 30717 for d. -74 Solve -9151*o - 140338 - 59669 = -34061 + 90282 for o. -28 Solve 729*a + 8706 = -42 for a. -12 Solve 346*r - 420*r + 1391 = -755 for r. 29 Solve 2629*g + 44940 = -33232 + 15076 for g. -24 Solve 1492*l + 959 + 5952 = -6517 for l. -9 Solve -43*v - 52*v + 6392 = 41*v for v. 47 Solve 33*u + 48848512 - 48847159 = 0 for u. -41 Solve -531*f - 8924 = 6825 + 3898 for f. -37 Solve -5*y + 97*y + 2740 + 1400 = 0 for y. -45 Solve 6*a + 219*a = 36*a - 134*a + 22287 for a. 69 Solve 25*h + 24*h = 270*h + 417*h + 67628 for h. -106 Solve -1942*w = -664*w + 1846*w + 204403 - 66947 for w. -44 Solve 77*y + 106*y + 20*y = 5887 for y. 29 Solve -198*v + 85*v - 350*v + 5863 = -12*v for v. 13 Solve 65982 = -53*z + 63120 for z. -54 Solve -62745109 = -130*q - 62747709 for q. -20 Solve 233*m - 1428 = 539*m - 264*m for m. -34 Solve 4672*k + 85698 = -91856 - 126213 + 18775 for k. -61 Solve 53*a - 1998 + 5104 = 880 for a. -42 Solve 9669*n = -3585*n - 628566 - 1160724 for n. -135 Solve 786*v + 13202 = -274*v - 1150*v + 125912 for v. 51 Solve 0 = -199*m - 9656 - 1487 + 1790 for m. -47 Solve -124*n - 80*n - 4860 = 53*n - 748 for n. -16 Solve -249 + 4290 = -449*i for i. -9 Solve -176*z = -2364*z + 82897 - 12881 for z. 32 Solve 2190*c - 84128 = 278*c for c. 44 Solve 96*w = 410*w + 3832 + 250 for w. -13 Solve -21181*m + 20820*m - 3971 = 0 for m. -11 Solve 753*c + 346*c - 122*c + 27588 + 8561 = 0 for c. -37 Solve 0 = -927586*p + 927389*p - 19700 for p. -100 Solve -12589*d + 30566 = -12062*d for d. 58 Solve -708*z - 2514*z = -67662 for z. 21 Solve 47593 = -6451*j + 8060 - 37879 for j. -12 Solve -130*b + 18917 - 2537 = 155*b - 105*b for b. 91 Solve 4339*y + 1055*y - 320531 = -99377 for y. 41 Solve 3960 = -200123*c + 199859*c for c. -15 Solve -1842*r = -17123 - 22949 - 46502 for r. 47 Solve 90*t = 25*t + 1040 for t. 16 Solve 0 = -336*t - 507*t + 187*t + 3280 for t. 5 Solve 1713*p + 22802 = -59422 for p. -48 Solve 1340*w + 10117 = -19792 - 2251 for w. -24 Solve 0 = -4648*l - 5907*l + 3598*l + 2238 + 4719 for l. 1 Solve 101*v + 3792 = -955 for v. -47 Solve -1751*c - 38880*c + 90872 - 167949 + 2758723 = 0 for c. 66 Solve -1487*r - 848*r - 64898 = 21497 for r. -37 Solve -140*l - 91375 = -98235 for l. 49 Solve 5028 - 25 = -299*s - 2472 for s. -25 Solve 19760 = -1059*q - 6725 - 1049 for q. -26 Solve -145*f - 292*f - 8221 - 9696 = 0 for f. -41 Solve -230958*b = -230813*b + 4205 for b. -29 Solve 30317 = 126*u - 623*u for u. -61 Solve 0 = -1028*l - 73874 + 12194 for l. -60 Solve 4*s - 90 + 28 = 152 + 46 for s. 65 Solve 705*t - 995*t - 242060 = 685*t + 1685*t for t. -91 Solve 1130*g - 857*g - 25262 = -5908*g + 296150 for g. 52 Solve -615*d = 3344*d + 4457*d + 67328 for d. -8 Solve -1731*h - 1475*h - 164010 = -224*h for h. -55 Solve -2446*m - 5167*m + 329560 = -123*m for m. 44 Solve 86*u + 163519 - 163347 = 0 for u. -2 Solve 14*p - 77 = -23*p + 1351 + 163 for p. 43 Solve -14*q - 9*q + 637 = 11*q + 2915 for q. -67 Solve 4835*l = -13452 - 170278 for l. -38 Solve -18*c - 51*c + 1422 = 10*c for c. 18 Solve -702*w = 606*w + 12039 + 50745 for w. -48 Solve 931*c - 840 = 889*c for c. 20 Solve 2500*u - 167736 = -1502*u + 369*u - 2151*u for u. 29 Solve 1973*r - 4023*r = -1993*r + 1140 for r. -20 Solve 2430*j + 8599*j = -385052 + 87269 for j. -27 Solve 140*q - 35505 = 337*q + 592*q for q. -45 Solve -106565*c + 106397*c - 672 = 0 for c. -4 Solve -347280 = 11856*q - 4515*q + 372138 for q. -98 Solve 0 = -3815*o - 1620*o + 70655 for o. 13 Solve 136*a = -1553*a + 69249 for a. 41 Solve 171*r + 539 - 3788 = 0 for r. 19 Solve -707*n - 7984 - 25710 = 26317 + 2912 for n. -89 Solve 93*i - 707 = 629*i + 1437 for i. -4 Solve 0 = -125*j + 63 + 7562 for j. 61 Solve -2604*n - 72131 + 369154 = 3113*n - 371866 for n. 117 Solve 18959 + 2627 + 9778 = 737*y - 17278 for y. 66 Solve 17592 - 72927 = 595*c for c. -93 Solve -1732*j - 23309 = 1425*j - 1002 + 12420 for j. -11 Solve -23*d = -121*d + 127 - 727 - 4202 for d. -49 Solve -44*i - 1343 = 4548 - 1799 for i. -93 Solve -283*v = -119 - 660 + 213 for v. 2 Solve -206*w + 711 - 3383 = 123*w + 339*w for w. -4 Solve 979*c - 323*c = -1451*c + 4214 for c. 2 Solve 14*a = -10490 + 10252 for a. -17 Solve 90 - 98 = 237*v + 940 for v. -4 Solve -183*f + 5282 + 9789 - 29711 = 0 for f. -80 Solve -1049*m - 41393 + 6937 = 43322 - 152 for m. -74 Solve -502*u = 480*u - 926*u - 1344 for u. 24 Solve -12737 + 86084 = -1259*q + 7094 - 83568 for q. -119 Solve 248*q = -252*q - 85*q - 18430 + 68155 for q. 85 Solve -218593 = -6275*u + 64924 + 105533 for u. 62 Solve -80*x - 1549 + 1302 - 1674 = 1519 for x. -43 Solve 1249 + 786 = 713*o - 658*o for o. 37 Solve -846*a - 7187 = 13833 + 10282 for a. -37 Solve 28392*q - 16066 = 28669*q for q. -58 Solve 33076*m - 33063*m = -325 for m. -25 Solve 1383*s + 4191 + 5490 = 0 for s. -7 Solve 41*d - 1966 - 1114 = 67*d + 44*d for d. -44 Solve 537*d + 2180 + 2645 = -3230 for d. -15 Solve 3396 = 4846*m - 5291*m - 18335 - 12089 for m. -76 Solve 315*y = -229*y + 333*y - 13504 for y. -64 Solve 87*f + 4376 = -100*f + 20*f - 3306 for f. -46 Solve -186*a + 110*a + 3364 = 1768 for a. 21 Solve -62*u = -42*u - 1970*u + 257400 for u. 132 Solve -205*f + 16 = -449*f + 180*f + 1872 for f. 29 Solve -6359 - 8848 = 1045*r + 88307 -
{ "pile_set_name": "DM Mathematics" }
7 Let j(n) = 3*n**2 + 12*n + 26. Let i(l) = 4*l**2 + 18*l + 38. Let g(b) = 5*i(b) - 7*j(b). Suppose u - 3*c = -4, 3*u + c = -0*c + 28. What is g(u)? -8 Let u(i) = -i**3 - 15*i**2 - 14*i + 13. Let k = -417 - -403. Calculate u(k). 13 Suppose 9 = u - 1. Suppose -5*a - u + 35 = 0, -5*l - 5 = -4*a. Let j(r) be the second derivative of -r**5/20 + 2*r**3/3 + r**2/2 - 9*r - 19. Calculate j(l). -14 Let s(g) = -3*g + 1. Let b(m) = 8. Let k(w) = 3. Let r(c) = -2*b(c) + 5*k(c). Let a(j) = 3*r(j) + s(j). Give a(-3). 7 Let r(o) = 27*o - 653. Suppose 2*a + 4*f = 72, 5*a + 5*f - 285 = -135. Give r(a). -5 Let t(j) be the second derivative of -j**4/12 + 8*j**3/3 - 61*j**2/2 + 1710*j. Give t(11). -6 Suppose 18 = 2*n - 3*c + 21, -3 = -n - 3*c. Suppose -4*s = p - 4, n = -2*s - 4*p - p - 16. Let o(g) = 8*g**2 - g + 1. Give o(s). 31 Suppose 4*t = 3*i + 706, -4*t - 3*i + 718 = -0*t. Suppose 0 = -13*d - t - 17. Let p(a) = a**2 + 15*a - 7. Determine p(d). -7 Suppose 25*m - 52 = -202. Let h be m/21 + (-132)/(-21). Let b(n) = n - 8. Determine b(h). -2 Suppose -2*a + 456 = -5*p, -3*a = 2*p - p - 701. Let s = -239 + a. Let i(t) = t + 10. Calculate i(s). 4 Let l(t) be the third derivative of -t**8/20160 + t**7/336 + t**6/90 - t**5/60 - 65*t**4/24 - 113*t**2. Let n(g) be the third derivative of l(g). What is n(16)? -8 Let b(z) = -219*z - 441. Let y be b(-2). Let s(j) = j**2 - 3*j - 3. Determine s(y). 15 Let c(w) = 7 - 4*w + 324*w**2 - 11*w**3 + 374*w**2 - w - 693*w**2 + 5*w**3. What is c(3)? -125 Suppose -2*z = 6, 2*z + 220 - 200 = 2*x. Let n(d) = 2*d - 22. What is n(x)? -8 Let j(g) = 3*g + 102. Let p(z) = 7*z + 105. Let u(s) = 5*j(s) - 4*p(s). Determine u(8). -14 Let g(i) = -i**3 - 3*i**2 + 41*i - 3. Let a(h) = -136*h - 824. Let o be a(-6). Calculate g(o). -11 Suppose 167*q + 1884 = -147*q. Let d(k) = 17*k - 6. Determine d(q). -108 Let s(y) = y + 1. Let r(p) = -p**3 - 5*p**2 + 3*p + 9. Let x(j) = j - 7 - 8 + 10. Let v be x(0). Let h be r(v). Calculate s(h). -5 Let b(w) = -w**2 + 9*w - 8. Let j = -64 - -69. Suppose 0 = -3*u + 2*d - 76 + j, -2*u - d - 52 = 0. Let l be (45/u)/(3/(-10)). Determine b(l). 10 Let v be 1/(-3*2/18). Let q(t) = -t - 5. Let h be q(v). Let z(u) = 28*u**2 - 26*u**2 + 4*u - u + 0*u. Calculate z(h). 2 Suppose -687 = -12*a + 1629. Suppose -5*p + 47 + a = 0. Suppose 0 = -4*l - 8*l + p. Let n(r) = -r**2 - 2. Determine n(l). -18 Let m(x) = x - 6. Let t(g) be the first derivative of -g**2 + 12*g + 1. Let v = 4059 - 4064. Let o(s) = v*m(s) - 3*t(s). Give o(-6). -12 Let s(l) = 10*l**3 - 18*l**2 + 31*l + 118. Let r(w) = 7*w**3 - 12*w**2 + 21*w + 83. Let q(n) = -7*r(n) + 5*s(n). Determine q(5). 24 Let h(c) = -6*c - 20. Let p(m) = -2*m**2 - 10*m - 15. Let k be p(-4). What is h(k)? 22 Let v(o) = -o - 18. Suppose -11*k + 388 = -7*k. Suppose k*q - 306 = 131*q. Give v(q). -9 Let g be -2*3*(12/9)/(-4). Let m be 6/(-4)*(-4)/6. Let k(y) = -2 + y + m + y**3 + y**g + 3 + 2. What is k(0)? 4 Let p be 0*3/(-3 + 6). Suppose h - 5*r = p, 3*r - 4 = -h + 4*r. Let s(g) = g**2 - 5*g + 5. Determine s(h). 5 Let x(u) = -10*u + 12. Let w(d) = -2*d + 3. Let p(o) = 4*w(o) - x(o). Give p(-4). -8 Let z(f) = -809 + 1544 - 784 + 6*f. Determine z(3). -31 Let k(u) be the first derivative of -6*u + 1/2*u**2 + 94. Give k(0). -6 Let s(v) = -v**3 + 6*v**2 + 2*v - 8. Let j be s(6). Let h(b) be the third derivative of b**4/24 - 4*b**3/3 + 830*b**2. What is h(j)? -4 Let f(y) = 4 - 4*y**2 - 16*y + 55*y - 22*y + 2*y**2 - 16*y. Calculate f(2). -2 Let u(y) = 11*y - 6. Let v(c) = c**3 - 2*c**2 - 14*c + 25. Let k be v(4). Give u(k). 5 Let f(v) be the second derivative of -v**4/12 + 11*v**3/6 - 23*v**2/2 - 10*v + 38. Give f(11). -23 Let b = 60 - 29. Let a = 29 - b. Let d(p) be the first derivative of p**4/4 + 4*p**3/3 - p**2/2 - 2*p - 14. Determine d(a). 8 Let h(x) be the third derivative of -x**7/840 + x**6/240 - 3*x**5/5 + 144*x**2. Let l(k) be the third derivative of h(k). Determine l(-2). 15 Let l(a) = 13*a**2 - 165*a**3 - 79 - 166*a**3 + 672*a**3 - 175*a**3 + 5*a - 165*a**3. Determine l(-12). 5 Let p(x) = -x**3 + 3*x**2 - 2*x + 3. Let z = -57 + 28. Let k = z - -32. Suppose -4*a - 3*g = -a, 3*a = -2*g + k. What is p(a)? -3 Let d(s) = -s**2 - 4*s - 7. Suppose -15 = -4*j - 5*o - 30, 5*j - 5*o = 15. Give d(j). -7 Suppose -2030*k + 8 = -2020*k - 42. Let j(x) = -x - 1. Let h(c) = -2*c**2 + 2*c - 12. Let y(z) = -h(z) + 5*j(z). Determine y(k). 22 Let x be 2/7 + (-444)/336*4. Let s(p) = -24*p - 128. Let i be s(x). Let u(m) = -2*m + 5. What is u(i)? 21 Let c be (4 - 63/14)*-82. Let x(b) = b**3 - 42*b**2 + 40*b + 40. Determine x(c). -1 Let m(p) = p**3 - 22*p**2 - 49*p + 35. Let j be m(24). Suppose -12 = 9*l - j*l. Let o(h) = -h**3 + 7*h**2 - 4*h - 3. Give o(l). 9 Suppose -2*d - 4*i = -14, -2*i - 3 = -4*d + 15. Let b(z) = -5*z + 8. Let h(t) = -12*t + 15. Let q(u) = d*b(u) - 2*h(u). Let n = 13 - 7. Give q(n). 4 Let j be ((-4)/3 + 1)/((-1)/12). Let r(p) = -5*p**2 - p - 77. Let k(g) = -g**2 + g - 14. Let i(z) = 6*k(z) - r(z). Give i(j). 5 Let u(g) be the third derivative of 79*g**6/120 - g**5/60 - g**4/8 + 2*g**3/3 + 9220*g**2. Determine u(1). 79 Let u(z) be the third derivative of -z**7/336 + 9*z**5/20 + 101*z**2. Let f(d) be the third derivative of u(d). What is f(1)? -15 Let k(u) be the second derivative of u**4/6 + 53*u**3/6 + 15*u**2 - 2*u + 3. Let g be k(-26). Let n(h) = h - 1. What is n(g)? 3 Let q be -1545*3/21 + 30/(-105). Let a = q - -223. Let y(s) = s**3 - 2*s**2 + 2*s - 2. Calculate y(a). 2 Let l = -28246 + 28237. Let b(y) = -y**3 - 13*y**2 - 35*y + 15. What is b(l)? 6 Let y(s) = -8*s + 7. Let p(b) = -8*b + 8. Let t(u) = 4*p(u) - 5*y(u). Let a(v) = -v. Let g(x) = -6*a(x) - t(x). Suppose -2 + 5 = h. Calculate g(h). -3 Let j = 289 + -284. Let p(z) = 10*z**2 + 2*z + 2 - 4*z**2 + 5*z**2 - j*z. Give p(1). 10 Let d(n) = n**3 + 8*n**2 - 18*n - 17. Suppose 25 = -2*m + 5*f, -3 = 4*m - 2*f + 39. What is d(m)? -37 Let l(i) = i**2 + 4*i + 8. Let f(k) = -k - 1. Let h be f(-3). Let z(m) = -m**2 - 3*m - 9. Let a(d) = h*z(d) + 3*l(d). Suppose -31*c + 162 = 348. Calculate a(c). 6 Let k be 2/(5/(85/(-2))). Let b = -12 - k. Let t(g) = g**2 - 3*g + 2 + 0 - 2 - 3. Determine t(b). 7 Let l be 14 + 255/(-15) + (-5 - 2). Let m(s) be the third derivative of s**4/24 + 13*s**3/6 + 30*s**2. Determine m(l). 3 Let z(p) = -53*p**3 - 12*p**2 - 12*p. Let m(y) = 59*y**3 + 14*y**2 + 13*y - 1. Let k(s) = -9*m(s) - 10*z(s). What is k(-5)? -31 Let q(o) = 39*o**2 + 2*o + 2. Let b = -30279 + 30278. Determine q(b). 39 Let z be ((-42)/(-2))/((-3)/(-1)). Let a(y) = 4 - 8*y + 35*y - 11*y - 12*y. Calculate a(z). 32 Let k(g) be the second derivative of -g**4/12 - g**3/2 - g**2/2 + g. Suppose 6 + 1 = n + 2*u, 5*n + 3*u - 21 = 0. Let t be ((-2)/n)/(3/9). Determine k(t). 1 Let q(s) be the third derivative of -1/120*s**6 + 1 - 2/3*s**3 + 1/6*s**4 - 1/15*s**5 - 36*s**2 + 0*s. Determine q(-5). 1 Let a(q) be the first derivative of q**2 - 20*q + 37. Let o(w) = w**2 - 2*w - 24. Let b be o(-5). Calculate a(b). 2 Let m(n) = -2868*n + 4 - n**2 + 9 + 0*n**2 + 5734*n - 2858*n. Calculate m(10). -7 Suppose 5*u + 12 = 9*u. Let l be (u/(-2))/(60/80). Let x(q) be the third derivative of -q**6/120 - q**5/60 - q**3/3 - q**2. Determine x(l). 2 Let p(c) = -18*c + 191*c**3 - 92*c**3 + 3*c - 101*c**3 + 17*c - 2. Let m(z) = z - 3. Let g be m(5). Give p(g). -14 Let x(t) = -t**2 - 4*t + 23. Let i(y) = y**2 + 4*y - 20. Let r(f) = 7*i(f) + 6*x(f). Suppose -4*l - 3 + 7 = -2*k, 3*k + 5*l = -28. Give r(k). 10 Let p(a) = -a**2 + 3. Let l(x) = -92*x - 7. Let z be l(-1). Suppose -20 = -z*h + 81*h. Calculate p(h). -22 Let k(q) = -25*q**2 + 24*q - 7. Let i(h) = -13*h**2 + 13*h - 4. Let t(n) = 9*i(n) - 5*k(n). Calculate t(-1). 10 Let t be 6*(3/(-5) - (-154)/140). Let g(j) = -6 + t - 34*j + 1 + 37*j - 6. Determine g(2). -2 Let u(z) = 20*z + 18. Let x(h) = -h - 1. Let n(r) = 2*u(r) + 36*x(r). Suppose 0 = -75*t - 87 - 213. Determine n(t). -16 Let d(r) = -r**2 - r + 2. Let p(z) = 12*z**2 + 12*z - 21. Let g be 6992/322 + 2/7. Let x(s) = g*d(s) + 2*p(s). Calculate x(-2). 6 Let p(n) = -3*n**2 - 16*n - 1. Let v(j) = 2*j**2 + 8*j. Let f(t) = -3*p(t) - 5*v(t). Let u be -14*1*6/(-12). Calculate f(u). 10 Let i = -3921 - -3920. Let m(k) be the first derivative of -1/2*k**2 + 1/3*k**3 - k + 11/4*k*
{ "pile_set_name": "DM Mathematics" }
*j - 5*q for j. 4 Solve -330*m + 170*m + 161*m = -4*k - 3, 3*m + 42 = 9 for k. 2 Solve -1210*b - 177 = 7*y - 1205*b, 2*y + 156 = -4*b for y. 4 Solve -10 = 390*k - 394*k - 18*j + 23*j, 4*k + 3*j - 26 = 0 for k. 5 Solve -67 + 3 = -4*h, 306*a - 5*h + 65 = 309*a for a. -5 Solve 2*b = 7*q + 239, 26 = 3*b - 9*q + 8*q for b. -3 Solve -g + 17 = -2*i + 96, -4*i + 143 = 3*g for g. -3 Solve 6*m - 56 = 3*m + 103*v - 151 - 429, 0 = -5*m - 3*v for m. -3 Solve 65 = z + 2*v, -79*z - 34*v = -18*z - 39*v - 15 - 13 for z. 3 Solve -3707*t + 7*h - 145 = -3713*t, 5*t + 5*h = 100 for t. -5 Solve 3*j - 177 = 3*k - 0*j, 12*j - 26 = -10*k + 11*k for k. -62 Solve 2*j - k - k = 8*j, j - 10 = 8*k - 5*k for j. 1 Solve 3*h - 6*k = h - h - 3, 78*h + 5*k = 77*h - 1 for h. -1 Solve -6*i = -0*n + 4*n - 10, -5*n = i - 4*i - 44 for i. -3 Solve 3*k - 91*h + 90*h + 4 - 32 = 11, -5*k + 64 = -2*h for k. 14 Solve c + 0*c - 4*l - 17 = -2*c + 14, -30 = -2*c + 5*l for c. 5 Solve 50 = 3*w - 2*b, -125 - 449 = -22*w - 6*w + 2*b - 24 for w. 20 Solve -11*g + 152 = -8*g - 2*k, 1228*g + 541 = 1316*g - 5*k for g. 2 Solve 4*z - 2*m = -100, 344*z + 5713 = 133*z - 4*m for z. -27 Solve 3532 = -24*h + 4*d + 3536, 0 = -2*h + 2*d - 18 for h. 2 Solve 60 = -2*s + 364704*y - 364709*y, 5*y + 160 = -6*s for s. -25 Solve 9*b - 3*g + 10 = 13*b, 3*g + 34 = 9*b + 4*g - 0 for b. 4 Solve 40 = 5*r, 3*z + 2*r + 50298 - 50308 = 0 for z. -2 Solve 27*g - 69*g + 1096 = -2*k, 3*g = -k + 76 for k. -2 Solve 4*s - 5565 + 5556 = d, -2*s + 27 = -3*d + 7*s for d. -9 Solve -13*b = -5*v - 102, 0 = 2265*v - 2270*v - 4*b - 34 for v. -10 Solve -216 - 1256 = -5*i + 14*g - 402, 0 = -i + 5*g + 522 - 143 for i. 4 Solve -2*c - 45 = 3*s, 233*s + 230*s + 70 = 458*s - 3*c for s. -5 Solve k + 6*r = r + 31, -19 = -723*k + 728*k - 4*r for k. 1 Solve 5*x + j = -7 - 16, 19*j = 3*x + 189*j + 3063 for x. -1 Solve -8*h + 13*h = 4*f - 2*f + 33, 10*h - 35 - 35 = 5*f for h. 5 Solve 5*i = 7227*h - 7224*h - 5, -71 - 38 = i + 21*h for i. -4 Solve 0 = -13*x + 14*x - 0*u - 3*u + 8, 4 = -5*x - 4*u + 40 for x. 4 Solve o + 3*p = -46, -23*o = -63267*p + 63271*p + 18 for o. 2 Solve 0 = -m + 3*q + 34482 - 34522, m - 20 = -2*q for m. -4 Solve 200 = 20*a + 5*h, h + 260 = 3*a + 230 for a. 10 Solve -4*q - 20 = 7367*g - 7369*g, -6*q - 23 = -0*g - 2*g - q for g. 4 Solve 2*y = 3*r + 53, -r + 123843 - 123854 = y for y. 4 Solve -56 - 232 = -4*d - 3*m, 6912 = 4*d + 75*m for d. 3 Solve c + 1 = 5*m, 36*c - 5*m - 59 = 45*c for c. -6 Solve 0 = 2*g - 2, 9356*g - 21 = 2*d + 9343*g for d. -4 Solve 0 = 332*c - 4*u - 668, 2*c - 6*c + 2*u = -8*c - c + 8 for c. 2 Solve -o + 9152*r + 92 = 9156*r, -2*o - 141*r + 3110 = 0 for o. 4 Solve 2*r + 9*y = 38, -r = 3*y - 17466 + 17450 for r. 10 Solve -115 = -10*s - 15*q, -4*s + 4*s - 95177*q = -3*s - 95179*q + 22 for s. 4 Solve -218*b + 171*b - 34*o = -44*b + 278, 3*b = o + 2 for b. -2 Solve -k - 25 = d, -6*k + 166 + 19 = -7*k - 6*d - 3*d for k. -5 Solve 5*k = 2*p - 85, 11*k + 344 = 3901*p - 3896*p + 130 for p. 45 Solve 173*z - 178*z = -9*d - 10, -d + 3*z = 6 for d. 0 Solve -72*t + 14*u - 8*u - 520 = 10*u, -35 = -t + u for t. -5 Solve 0 = 2*m + b + 50, 433106*m - 433105*m + 12*b = -646 for m. 2 Solve -24935*v - 14 = -4*b - 24933*v, 4*b + 5*v = 49 for b. 6 Solve 12*t = 8*t + 3*u - 5*u + 2 + 2, 73*u = -3*t + 3 for t. 1 Solve -5*o + 57 = -2*v + 9, -45*o = -47*o - 5*v - 91 for o. 2 Solve 1219*m - 1207*m - 2*u + 108 = 0, -2*u = -5*m - 9*u + 2 for m. -8 Solve 4*q - 126*r - 150*r + 280*r + 80 = 0, -11 = -5*q - 27*r - 1 for q. -25 Solve 0 = -2*g - 5*j + 12, -5*g - 661*j + 633*j = -30 for g. 6 Solve 5*i + 0 = 3*h + 24, -10*h + 56*i - 63*i = -7*h - 84 for h. 7 Solve -13*t + 185 = -17*t + r, 0*r + 461 = -10*t + r for t. -46 Solve -7*f + 5*d - 22 = -7*f - 17, 0 = -4*f + 5*d + 136 - 29 for f. 28 Solve -7*f - 6*f + 20951 = -2*j + 20644, 0 = 3*j - 8*f + 196 for j. -4 Solve 0 = -5*q - 2*m - 2, 0 = q - 5*m - 466 + 461 for q. 0 Solve 41*p + 27*k = 40*p + 85, 11 = 16*p - 17*p + 5*k for p. 4 Solve -9*h = -r - 1, 16 = -h - 2*h - 5*r + r + 8 - 74 for h. -2 Solve 12*a = -2*q - 2, 3*a - 5*q - 26 = -q + 86 for a. 4 Solve -204*m + 3*o + 0*o = 2259, -3*m + 50*o - 28 = 51*o for m. -11 Solve 4*w - 155*f - 7 = -158*f, w - 3*f + 165 = 178 for w. 4 Solve 7*v - 2*d = 13 + 3, -13*v + 32*d + 29 = 29*d for v. 2 Solve -13*x + 5*u + 94 = -15*x, -2*x - 164*u = 2956 for x. -2 Solve 4*x - 163 = -9*u, 9*x - 13*x - 101 + 17 = -5*u + u for x. -2 Solve 49*l = 5*o - 1142, 3002 = -5*l + 2887 for o. 3 Solve 131*b = 136*b + 5*j - 492 + 512, 4*b = -5*j - 24 for b. 4 Solve 0 = 5*t - p, -3*t - 360 = -0*t + 23*p - 212 + 324 for t. -4 Solve -5*u + 39*j + 656 + 1083 = 82, -133 = u + 3*j for u. -4 Solve 3*z + 2*d = -9*d - 187, 3*z + 13795*d - 17 = 13796*d for z. 0 Solve 73 = -4*c - 9*m, 4*c - 10*c + 2*c - 4*m = 28 for c. 2 Solve 5*s = 2*u + 3*u - 400, 3*s - 57*u + 56*u = 20 - 94 for s. 3 Solve 5*x - 2*x - 2*x + 9 = 4*x, 3*m + 2*x + 15 = 0 for m. -7 Solve 6*u - 154 = 8*a + 9*u - 15, -5*a = -5*u - 195 for a. -2 Solve 0 = -4*b - 3*w + 262, 4*b - 4*w - 16048 = -16388 for b. 1 Solve -1894281 + 1894272 = a + 2*i, 2*a - 3*i = 3 for a. -3 Solve 8*u - 9*d = 138, u + 47*d = 25*d + 27*d + 25 for u. 15 Solve -2*q + 5689 = -2*w + 5687, -5*q = 2*w + 10 + 20 for w. -5 Solve -3*s - 92 = 5*p, 69034*s - 7*p - 140 = 69041*s for s. -4 Solve 5*d + 4*a + 82 = 2, 3*a - 6*a = 45 for d. -4 Solve 2*i + 98 = -4*j - 12*j, 1952*j - 1947*j + 2*i = -54 for j. -4 Solve -46 = 6*y - 2*o, 0 = -3903*y + 3900*y - 5*o + 61 for y. -3 Solve -3*f + 1 = 5*d, -11*f - 36*f + 874 = -4*d + 776 for d. -1 Solve f - 3*f + b + 19 = -f - 4*f + f, -18*f + 2*b = 6 for f. -2 Solve 776 - 740 = 2*w + l, 103 = 6*w + l - 3*l + 5 for w. 17 Solve -q - 5*f = -6*q - 35, 4*q - f - 71 = -75 for q. 1 Solve 154 = 3*l - n, -26*l = -2*n - 966 - 402 for l. 53 Solve -44 = -2*u - 30083*g + 30087*g, -3*g - 34 = -u - 4*g for u. 30 Solve -16608*d - 19*i + 519 = -16606*d, 2*i = -d + 57 for d. 3 Solve 0 = -3*q + 4*t - 25, 21*t - 17 = 3*q - 117*t + 136*t for q. -3 Solve -30638*d - 42 = -30651*d - 5*v, -2*v + 27 = -5*d for d. -1 Solve -6*c = -n - 81, 6*c + 2*c = 5*n + c + 143 - 37 for n. -3 Solve -4*i - 5*p = -26, 0 = -472*i + 467*i - 2*p + 41 for i. 9 Solve 4*p + 2026*x - 4046*x - 1 = -2019*x, 0 = -4*x - 20 for p. -1 Solve 5*x + 16*a = -54, -2*x - 679*a = -676*a + 8 for x. 2 Solve 7*g - 74 = -100*t + 1405, -15 + 2 = -2*t + 3*g - 8*g + 2 for t. 15 Solve -3*p = -12*w + 13*w - 13, 13 = -6*p + 8*p + 5*w for p. 4 Solve 92*w = 2*t + 2*t + 644, 1566*w - 1571*w = 5*t - 35 for t. 0 Solve -p = 108*n - 99*n + 28, -p + 7*n = -36 for p. 8 Solve 3*h = 11*v - 81, 2*h = -15*v + 10*v + 20 for v. 6 Solve 4*j = 9*u - 47 + 33, u - 4*j = -2 for u. 2 Solve -8*v - 4*s - 40 = 0, 12*v + 50 = 9*v - 5*s - 21 for v. 3 Solve -3*i - 124 = -4*a, 277*i - 5*a - 315 = 285*i for i. -40 Solve -6*q - 153 - 9 = 0, -4*w + 2*w - 171*q + 166 = -177*q for w. 2 Solve 7*w - 26 = -5*f, 62*w = 58*w - 2*f + 8 for w. -2 Solve 2*b - b + 4*d = -3488 + 3409, 20*b + 2*d - d = -79 for b. -3 Solve -5*s - 287846*t + 287848*t = 73, 0 = 5*s - 5*t + 205 for s. 3 Solve -c - v = -8, -4*v + 110393 = 11*c + 110340 for c. 3 Solve -205 = -5*v - 5*s, 244*v + 243*v - 2*s = 728*v - 242*v - 79 for v. 1 Solve 227*i = -19*w + 223*i - 262, -5*w - 69 = i for w. -14 Solve 0 = -d + 117827*h - 117825*h + 4, 187*h - 342 = 4*d for d. 8 Solve 0 = 3*k - 1963*p + 1964*p - 4, 0 = -4*k + 7*p - 53 for k. -1 Solve -932 + 993 = l - 2*m - 3*m, 4*l = 46*m + 556 for l. 1 Solve -14 = i + 12*t + t, i + 3*i = 5*t + 58 for i. 12 Solve 84*a + 29*a - 111*a - i = -10, 0*a + 30 = -6*a + 2*i for a. -5 Solve -r + 619 = 78*n, 4*r + 345 = 2*n + 309 for r. -5 Solve 2*n - w + 16 = 0, -3*w + 112 - 9 = -147*n + 152*n for n. 5 Solve -80 = -4*c - 78150*n + 78152*n, -3*n + 60 = 4*c for c. 18 Solve 0 = 2*p - 4*z - 24, 2409*z + 5 = 2408*z for p. 2 Solve 0*m - 3*m + 7*r + 71 = 73, -m + 1 = -2*r for m. 11 Solve 18*a - q - 461 = 4*q, 93*q - 93 = -4*a + 96*q for a. 27 Solve 17*k + 0*s - 2*s = 13*k - 32, 0 = k - 2*s + 8*s - 2*s + 8 for k. -8 Solve -13 = j + 6*d, 28*j - 41*j - 5 = -3*d + 17 - 96 for j. 5 Solve 7*g - 3*y = 6*g - 13, 3*y - 97 = 13*g for g. -7 Solve -2 = 4*q - z + 5, -117*q + 89*q = -26*q - 6*z - 46 for q. -4 Solve 3*y - 246 = 30*l, 0 = 5*y + 2*l - 116 + 122 for y.
{ "pile_set_name": "DM Mathematics" }
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{ "pile_set_name": "DM Mathematics" }
*v + w + o for v. 0 Let q(g) = g**3 - g - 2. Let f be q(0). Let x be 1 - (0 + -1 - f). Solve x = d + 2*d + 5*w + 20, 3*d - 4*w - 16 = 0 for d. 0 Suppose 1 = -h + p, 3*h + 0*p = -4*p + 25. Solve 0*q + 5*q - h*a = -37, -3*q - 35 = -5*a for q. -5 Let j be ((-3)/(3/(-10)))/2. Let t(u) = 4*u**3 - 3*u**2. Let f be t(2). Solve 25 = -4*h - 5*q, j*q + f = -3*h + q for h. 0 Suppose -6*k + 3*k = -9. Suppose 6 = 5*m + w - 6, 4*m - 3 = -k*w. Solve 5*y + 4*c = 8, -m*c + 0 = -5*y - 6 for y. 0 Suppose 0 = -i + 2, -5*r = 2*i + 2*i - 48. Let f be (2 - r)/(-3) - -2. Solve 4*m = 16, -2*m - 20 = -f*y - 5*m for y. 2 Suppose 0 = 4*y + 1 - 21. Suppose y*q - 3*c - 29 = 0, -3*q + 2 - 5 = 5*c. Solve q*g + 3*n + 14 = 0, -5*n + n + 2 = -5*g for g. -2 Suppose 6 = -3*x + 4*n - 17, -5*n = -4*x - 30. Let d(a) = a**3 + 4*a**2 - 4*a + 7. Let i be d(x). Solve 3*m + 5 = -i*j, 7*m + 4*j = 3*m for m. -5 Suppose -4*g - 3*r + 3 = 38, -5*g = 5*r + 45. Let f = -5 - g. Let i be 4*1 - (f - 1). Solve 4*y = i*c - 3*c + 5, -20 = -y - 4*c for y. 0 Let j = -9 - -5. Let w = -3 - j. Suppose 2*i - 9 = -w. Solve -i*y - 10 = 2*h, -h + 2*y = -0*h + 5 for h. -5 Let i = 8 - 6. Suppose 1 = -i*v + 11. Solve -5*o + 4*a = 23, v*o + 4*a - 2 = -9 for o. -3 Suppose -8 = -4*q - 4*x, -21 = -3*q - 3*x + 5*x. Suppose 3*g + t + 0 = 5, t = -g + q. Solve 4*j - 28 = -2*c, 5*j + g*c + 2*c - 33 = 0 for j. 5 Suppose 0*o = -4*o - 16, o + 2 = -x. Solve 0 = -y + 3*h + h - 1, 2*y + x*h = -12 for y. -5 Let x(q) = 5*q - 14. Let a be x(9). Solve s + 4*s + a = -4*z, -4 = -2*z + 4*s for z. -4 Let h be (0 - -23) + 7/7. Solve a = -3*a + 4*s - h, s + 2 = -a for a. -4 Let u = 90 + -64. Let j = u + -24. Solve 16 = -4*p - 4*h, -j*p - 5 = 3*p + 2*h for p. 1 Let p(l) = 7*l**2 - 2*l - 1. Let b be p(-1). Solve -4*o + 0 = 3*h + b, 2*h + 2 = -o for o. -2 Let r(b) = -4*b - 2. Let v be r(1). Let h = v + 15. Solve 4*k - 3 = -4*u + h, 5*u = 2*k + 8 for u. 2 Let t be 14/(-2) - (0 - 2). Let h = -2 - t. Let n = 7 - h. Solve 12 = 2*p - n*z, 8 = 2*p - p - 3*z for p. 2 Let i be 0 + (-3 - 1*-6). Solve -4*w = -5*p + 20, p + i + 12 = -3*w for w. -5 Suppose -4*v = -v - 6. Suppose 106 = 4*b + v. Suppose 4*c = 2*c + 10. Solve b = 4*r - 2*l - 3*l, 0 = -2*r - c*l - 2 for r. 4 Suppose 5*q - 2*j - 6 = -0*q, -3*q - j + 8 = 0. Solve 2*w - w = 5*s, 3 = -q*s + w for s. 1 Let j = -40 + 43. Solve -4*p - 12 = 2*f, -p + 4*p = -j for f. -4 Let p(y) = -4*y**3 + 1. Let s be p(1). Let r = 13 - s. Solve -q - 5*d = 21, 0*d = 4*d + r for q. -1 Let y(z) = z + 8. Let q be y(-3). Suppose q*l = 29 - 4, -3*l = k - 20. Solve -a = 5*n + 3, 0 = n + 2*n - k*a - 15 for n. 0 Let k(v) = v**2 + 2. Let h be k(0). Let g(w) = w - 2. Let b be g(5). Solve b*o = -i + 6, 5*i + 7 = h*o + 20 for o. 1 Suppose -2*b - b = -6. Suppose a - b = 4. Solve 4*t = c - 16, 5*t = 2*c - 29 + a for c. 4 Suppose -50 = -6*q + q. Suppose -2*a + q = -0*a. Solve 23 = 2*z + a*v, 2*z = z - 2*v + 9 for z. -1 Let u(q) = -q**3 - 6*q**2 - 6*q + 5. Let d be u(-5). Let a = d - 7. Let r(i) = -2*i - 6. Let n be r(-4). Solve 2*l + n*w + 6 = -0, -w - a = -5*l for l. 0 Let h = 10 - 9. Solve 3*b - 3*p - h = 7*b, 0 = -2*p - 6 for b. 2 Let z be (-24)/132 - 268/(-22). Let r be ((-8)/z)/(-2)*0. Solve 3*x + 25 = -5*t, r = 5*t + 4*x + 27 + 3 for t. -2 Suppose 22 = 5*h - 4*y - 0*y, -5*y = 3*h + 9. Solve 3*p - 12 = 3*b, -6*b - p = -h*b + 11 for b. -3 Let k be 2/(-5)*2*-5. Let z = -17 - -35. Let w = -18 - -20. Solve -w*t + 0 = -2*a - 12, -k*a + 2*t = z for a. -3 Suppose 3*z - 8*z = 0. Let u(n) = -13*n. Let c(b) = -3*b. Let m(o) = 9*c(o) - 2*u(o). Let l be m(z). Solve 0 = -2*w + 3*y - 4, 2*w + y + l*y = -12 for w. -5 Suppose -t + 9 = -3*q, -2*t = -3*q + 2*q - 8. Let s be t*((-50)/(-6))/5. Solve s*p = -0*p - 3*l - 22, -11 = 2*p - l for p. -5 Let h = 7 - 8. Let b be (-1)/h - (-10 - -6). Solve 2*t + 21 - b = 2*v, 28 = 5*v - 2*t for v. 4 Let h(j) = -4*j + 46. Let r be h(11). Solve 5*d = -3*y - 9, 3*d + 4*y + 5 = r*y for d. -3 Let d(l) = -l - 1. Let f be d(-13). Solve 0 = 5*k - a + 11, -a + f = -4*k + 3*a for k. -2 Let k(o) = -o**2 - 10*o + 2. Let r be k(-10). Let y be r/(7/(63/6)). Solve 2*i + 10 = -4*x, -x - y*x = 3*i + 15 for x. 0 Let b(j) = 3*j**2 + 2*j - 1. Let k be b(1). Suppose -2*g - k = -3*g. Solve -g*c - c - 1 = 4*f, 3 = -4*c - f for c. -1 Let o = -48 + 117. Suppose -d = -0*d - o. Suppose d = 2*i + i. Solve -5*n = g - i, g - 4*g + 29 = 5*n for n. 4 Let c = -82 + 85. Let u = -7 - -26. Solve -5 = r - v, c*r + v + u = -2*r for r. -4 Let m be 552/132 - 4/22. Let p = 2 + -2. Solve 3*d = -c + 2, 0 = m*c - p*c + 16 for d. 2 Let o be -6*(-1 - (-1)/2). Suppose 4*u - 3*p = 34 + 20, 8 = -4*p. Solve -c - 3*s = 6, 2*c - o*s - 3 = u for c. 3 Let b(k) = -3*k + 8. Let h be b(-6). Suppose 3*q = 3*m + 18, -q - 4*q + m = -22. Let l be -8 + 13 - 0/3. Solve -2*a = -q*f + h, -2*f + 4 = -3*a + l*a for a. -3 Suppose 9 = 3*t - 3. Solve -4*w = -4*u, -24 = -4*w + 2*u - t*u for w. 4 Suppose -3*d + 3 = 0, 4*u + u + d - 11 = 0. Solve -9 = -3*p - 3*c, -p + 17 = u*p - c for p. 5 Let g(s) = -s**3 - 8*s**2 - 7*s + 4. Let p be g(-7). Suppose -p*y = -27 - 9. Suppose -4*j - y = -7*j. Solve -8 = -4*z + l, j*l = -0*l for z. 2 Let t(o) = -o**2 + 3*o. Let n be t(2). Suppose 0 = n*j + j. Suppose 2*s = 2*c - 2, j = 4*s + c - 0*c - 11. Solve w + 2*w + 3*m = -6, -5*w + s*m + 25 = 0 for w. 3 Let i(r) = -2*r - 8. Let n be i(-6). Solve 5*m = -3*t + 11, m + 4*m + n*t - 8 = 0 for m. 4 Let g be 5 + -2 - 6/(-3). Solve -2*s - 2*k = k, 19 = g*s - 2*k for s. 3 Suppose v + 15 = r + 3*v, -3*r + 2*v + 5 = 0. Suppose 0*x = -r*x + 25. Solve -2*t + 4 = 0, 5*t = x*g - 2*g - 2 for g. 4 Let j(b) = b**3 - b**2 + 4. Let n be j(0). Solve 5*z - 2 = -n*c - 17, z - 4*c = -3 for z. -3 Let g = 119 + -179. Let l be (2 + 0)/((-24)/g). Let v = 5 - 2. Solve -v*z - 4*b = -8*z, -l*b = -2*z for z. 0 Suppose 3*w - d = 20, d = 5*w + 3*d - 15. Solve 2*f - w = -4*u + 1, 0 = u + f + 1 for u. 4 Let b = -2 - -2. Suppose -5 = 2*t + 5*s + 1, 5*t + 5*s = b. Solve m + 2*o = -2*m - 10, 0 = 2*m - 3*o - t for m. -2 Let c = 23 + 5. Solve 5*d - c = 5*q - 8, d = 1 for q. -3 Let l(b) = -b + 4. Let f be l(-3). Suppose 3*x = 4*x + 1. Let v be f + -2*1 + x. Solve -u + v = 0, -5*w - 24 = -2*w - 3*u for w. -4 Let g be -9 + 0/(-2) + 1. Suppose 0 = 5*x + 5, 4*v + 30 = 4*x - 2. Let y = g - v. Solve h + 3*h = -3*j - y, 3*h - 2*j + 22 = 0 for h. -4 Suppose -2*u + 11 = u + n, -2*u = 2*n - 14. Solve -3*j - b = u*b + 27, 8 = -2*b for j. -5 Suppose -u = 4*r - 74, 3*u = r - 4*r + 60. Let m be (2*-1)/((-4)/6). Let i be (-17)/(4080/(-448)) - 2/(-15). Solve g + i = -m*z, -r = -3*g - z + 4*z for g. 4 Let k(x) be the second derivative of -x**5/20 - x**4/12 - x**3/6 + 3*x**2/2 - 5*x. Let o be k(0). Solve o*h - v - v = 3, 0 = 4*h - 4*v - 4 for h. 1 Let t be ((-27)/(-15))/((-12)/(-40)). Solve w - t = 2*d - 0*w, w = -5*d - 22 for d. -4 Let x = 41 - 58. Let h = x + 22. Solve -h*k - 2*z - 2 = -15, -z = -4 for k. 1 Let v = 172 - 102. Suppose 2*h + 8 = 0, h - 2*h - v = -3*x. Solve -g = -3*m + 18, 2*g + 2*g + x = 2*m for g. -3 Let f be 1 + (2 + -1 - 2). Suppose 0 = 4*j - f*j - 80. Solve 3*m = s + 20, -5*m + j = -2*s + 3*s for s. -5 Suppose 0*w = -3*w. Suppose 4*r + 4*m - 72 = w, 4*r - 2*m - 64 = r. Suppose r - 2 = l. Solve 0 = 2*b - 2*a + l, -2*b + 2*a = -3*a + 30 for b. -5 Let p = 35 - 14. Solve s + p = -3*l - 3*s, -4*l - 2*s - 18 = 0 for l. -3 Let v be (-1)/2*(-8)/2. Suppose 74 + 119 = b - a, -4*b - 5*a + 817 = 0. Let k be b/12 + (-1)/v. Solve -4*f - h - 16 = 3*h, f + 4*h = -k for f. 0 Suppose 2*f = 4*f - 10. Let m = 2 - 0. Solve -m*v = -3*t - 17, -8 + 38 = -5*t + f*v for t. -5 Let p(m) = 2*m**2 + 5*m - 5. Let b be p(1). Solve -6 = 3*x + l + b*l, -x = 5*l - 2 for x. -3 Suppose 2*w = 2*r + 2, -3*w - 10 = -6*w - 4*r. Solve w*u + 36 = 6*u - 5*y, -y - 4 = 0 for u. 4 Let b(g) = g**3 + 10*g**2 + 9*g. Let v be b(-9). Suppose j + 0*j = v. Solve k - 1 = -3*s, -2*k - 3*s + 0 + 2 = j for k. 1 Let m be (-8)/36 - (-38)/9. Let p(z) = 2*z**2 + 4*z + 1. Let u be p(-3). Let j = u + -5. Solve -22 = m*g + 2*q, -6 - 6 = 2*g + j*q for g. -5 Suppose -19 = -j - 1. Solve -2 = -3*s - k + j, -3*k + 15 = 0 for s. 5 Suppose -r - 2 = 4*u - 3*u, -16 = 4*u. Let y(s) = -s**2 - 9*s - 3. Let c be y(-8). Solve 2*k = -z + r, -k - 6 = -c*z - 18 for k. 2 Let n(o) = 17*o + 49. Let q(g) =
{ "pile_set_name": "DM Mathematics" }