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. Give 7*o(y) + 2*w(y). y**3 - y Suppose 5*r - 3*y + 27 = 0, 2*r + 4*y + 9 = 7*y. Let o(w) = 4*w**3 + w - 3. Let m(q) = 3*q**3 - 2. Calculate r*m(t) + 4*o(t). -2*t**3 + 4*t Let o(g) = 2*g**2 + g + 2. Suppose -1 = -2*x + 1. Let p = x - -1. Let z(m) = -1 + 0*m**p + m**2 - 2*m**2. Give 2*o(u) + 6*z(u). -2*u**2 + 2*u - 2 Let m(v) = 11*v**2 - 8. Suppose -21 + 4 = -j. Suppose -j = 2*k - 1. Let d(x) = 7*x**2 - 5. Determine k*d(y) + 5*m(y). -y**2 Let l(n) = 4*n + 3. Let m(u) = 7*u + 5. Let z(a) = -a**2 + 8*a - 9. Let c be z(8). Let w be (-3)/2*(-18)/c. Determine w*m(f) + 5*l(f). -f Let m(b) = 7*b**2 + 3. Suppose -6*a + 4*i = -5*a - 12, 155 = 5*a - i. Let o(u) = 76*u**2 + 32. Determine a*m(l) - 3*o(l). -4*l**2 Let y(d) be the first derivative of d**3/3 + d**2/2 - 7*d - 41. Let c(j) = j - 6. Determine 5*c(p) - 4*y(p). -4*p**2 + p - 2 Let c(n) = -67*n**3 + 6*n**2 - 6*n. Let l(s) = -671*s**3 + 61*s**2 - 61*s. Calculate -61*c(t) + 6*l(t). 61*t**3 Let y(j) = -j**3 - j**2 - j. Let z(i) = 4*i**3 + 3*i**2 + 3*i. Let r = 99 - 96. Give r*y(g) + z(g). g**3 Let s(l) = -12*l**2 - 4*l. Let k(y) = 6*y**2 + 2*y. Give 10*k(n) + 4*s(n). 12*n**2 + 4*n Let w(m) = -2*m**2 - 5. Let z be ((-2)/6)/((-1)/6). Let h(x) = -x**z - 4 + 5 - 4. Let l(y) = y**2 - 3*y - 7. Let b be l(5). Calculate b*w(c) - 5*h(c). -c**2 Let c(z) = -2*z**3. Let k = 16 + -18. Let d(x) = -10*x**3. Determine k*d(v) + 11*c(v). -2*v**3 Let n = -8 - -12. Let k(j) = 2*j. Let o(d) = 4*d. Let h(p) = 4*p. Let y(x) = 5*h(x) - 4*o(x). Give n*y(q) - 9*k(q). -2*q Let k(d) = -1. Let z(h) = h - 3. Let r = 2 + -1. Let w = r + -3. What is w*z(i) + 5*k(i)? -2*i + 1 Let z(b) = -b**3 + b + 1. Let o(v) = 27*v**3 - 3*v - 3. Give o(g) + 3*z(g). 24*g**3 Let p(w) = 8*w**2 - 12*w + 1. Let r(u) = 9*u**2 - 13*u + 1. What is 7*p(g) - 6*r(g)? 2*g**2 - 6*g + 1 Let r(s) = 55*s. Let d(p) = -18*p. Calculate -8*d(c) - 3*r(c). -21*c Let u(r) = 38*r - 1. Let x(p) = 115*p - 4. Determine -7*u(h) + 2*x(h). -36*h - 1 Let x(l) be the first derivative of 2*l**2 + 1. Let h(i) be the third derivative of 5*i**4/24 + 12*i**2. Calculate 2*h(q) - 3*x(q). -2*q Let c(m) = -1. Let d(k) = k**2 + k - 2. Give -4*c(p) + 3*d(p). 3*p**2 + 3*p - 2 Let w(h) = 6*h**3 - 3*h**2 + 3*h. Let d(o) = o**3 + o**2 - o. Calculate -6*d(x) - 2*w(x). -18*x**3 Let j(f) = -2*f**3 - 3*f**2 + 3*f + 2. Let w(v) = v**2 - v - 1. Give -j(s) - 2*w(s). 2*s**3 + s**2 - s Let o be ((-15)/(-3) + -3)*4. Let u = o + -13. Let l(q) = -4*q**3 - 5*q**2 + 5*q + 5. Let y(t) = -3*t**3 - 4*t**2 + 4*t + 4. What is u*y(x) + 4*l(x)? -x**3 Suppose 0 = -2*x - 2*i - 4, -5*x - 26 = i. Let o(r) = r + 4. Let d(s) = s + 3. Calculate x*d(j) + 5*o(j). -j + 2 Let p(n) = -2*n - 3. Let s(m) = -m**2 + 2*m + 2. Give 2*p(j) + 3*s(j). -3*j**2 + 2*j Let p(j) = -27*j**3 + 9*j**2 + 9*j - 9. Let f(x) = -x**3 + x**2 + x - 1. What is 9*f(q) - p(q)? 18*q**3 Let t(v) = -v. Let j(d) = -7*d**3 + 6*d. Calculate j(h) + 6*t(h). -7*h**3 Let d(x) = -25*x**2 - 40*x - 40. Let y(v) be the first derivative of 2*v**3/3 + 3*v**2/2 + 3*v + 14. Calculate -3*d(h) - 40*y(h). -5*h**2 Let c(b) be the third derivative of b**6/120 - b**3/3 - b**2. Let l(p) = -3*p**3 + 5. Give -5*c(n) - 2*l(n). n**3 Let w(g) = 16 - 14*g - 1 + 2. Let y(v) = v + 4. Let c(a) = 8*a + 6. Let m(q) = -c(q) + 3*y(q). Calculate 17*m(i) - 6*w(i). -i Suppose 3*a - 4*o - 16 = 5*a, -4*a = -4*o - 28. Let i(x) = x + 11. Let j be i(-8). Let g(t) = -4*t - 2. Let u(c) = 7 + 3*c - 5 + 0. What is a*g(p) + j*u(p)? p + 2 Let b(t) = 5*t - 3. Let x(o) = 14*o - 8. Let j be 66/4*(-4)/(-6). Let m(w) = -w - 11. Let u = -11 + 4. Let h be m(u). Give h*x(r) + j*b(r). -r - 1 Let w(n) be the second derivative of -n**4/3 - 7*n**3/6 - 16*n. Let k(i) = -6*i**2 - 11*i. Let x = -7 + 15. Calculate x*w(h) - 5*k(h). -2*h**2 - h Let x(q) = -3*q + 1. Let s(k) = k - 4. Let o(m) = -2*s(m) + 6*x(m). Let z(c) = -7*c + 5. Give 4*o(g) - 11*z(g). -3*g + 1 Let f(b) = 2*b**3 - b**2 - 5*b. Let i(y) = -y**3 + y**2 + 5*y - 1. Give 2*f(x) + 3*i(x). x**3 + x**2 + 5*x - 3 Let a(o) be the second derivative of o**5/20 + o**4/3 - 2*o**3/3 - 3*o**2 + 3*o. Let f(j) = -3*j**3 - 11*j**2 + 11*j + 17. Give 17*a(k) + 6*f(k). -k**3 + 2*k**2 - 2*k Let z(w) = 11*w**2 + 11*w. Let a(q) = 7*q**2 + 2*q - 5. Let h(j) = -22*j**2 - 6*j + 16. Let i(r) = 16*a(r) + 5*h(r). Calculate 34*i(b) - 6*z(b). 2*b**2 + 2*b Let k(t) = 13*t. Let n(o) = 7*o. What is -3*k(q) + 5*n(q)? -4*q Let g(w) = -3*w**2 + 2*w - 4. Let h(t) = 6*t**2 - 4*t + 8. Calculate 5*g(b) + 3*h(b). 3*b**2 - 2*b + 4 Let z(n) = -4*n - 3. Let m(g) = g**2 - 12*g - 11. Let i be m(13). Let s(v) = -9*v - 7. What is i*s(p) - 5*z(p)? 2*p + 1 Let q(u) = -3*u**3 + 3. Let k(m) = -m**3 + m + 1. Give 5*k(a) - q(a). -2*a**3 + 5*a + 2 Let m(d) be the second derivative of d**3/6 - 2*d. Let c(x) = -2*x + 1. Give -c(z) + 2*m(z). 4*z - 1 Let i(o) = 3*o**3 + 2*o + 5. Let f(g) = 3*g**3 + 2*g + 6. What is -3*f(j) + 4*i(j)? 3*j**3 + 2*j + 2 Let g(k) = 2*k**2 - 3*k - 6. Let s(j) = j - 1. Calculate -g(v) - 4*s(v). -2*v**2 - v + 10 Let x(i) = -i**3 - i**2 - i. Let u(l) = -l**3 + 2*l**2 + 3*l - 2. Calculate u(t) + 3*x(t). -4*t**3 - t**2 - 2 Let o(r) = 2*r**3 - 3*r**2 + 3*r + 3. Let x(w) = 3*w**3 - 5*w**2 + 5*w + 5. Suppose 5*d + 12 = d. What is d*x(z) + 5*o(z)? z**3 Suppose -4 + 0 = -4*h. Let k(v) = -2*v + 4. Let n(c) = 2*c**3 - 2*c**2 - c - 2. Let p be n(2). Let a(b) = 6*b + 0*b - 6*b - 1 + b. Give h*k(o) + p*a(o). 2*o Let d(q) = -2*q - 5. Let b(c) be the third derivative of c**3/6 + 4*c**2. Calculate 3*b(v) + d(v). -2*v - 2 Let g be 0 + 3 + 8/4. Let j be 4/(-10) + 27/5. Suppose -22 = d + g*r - r, 0 = j*d - 3*r - 5. Let x(l) = -2. Let q(m) = m**2 - m - 10. Give d*q(z) + 11*x(z). -2*z**2 + 2*z - 2 Let b(f) be the first derivative of f + 1/2*f**2 - 1. Let k(g) = 1. Let r(i) = -4*i - 5. Let p(n) = -2*k(n) - r(n). Determine 14*b(m) - 4*p(m). -2*m + 2 Let m(g) = 2*g**2 + 2. Let u(j) = -10*j. Let w be u(-1). Let v = w + -5. Let z(t) = -t**3 + 5*t**2 + 5. Give v*m(r) - 2*z(r). 2*r**3 Let z(n) = n**2 + n. Let h(a) = -9*a - 2. Determine -h(s) - 3*z(s). -3*s**2 + 6*s + 2 Suppose -13*x = -32 + 6. Let z(d) = 2*d**2 + 2*d - 2. Let r(v) = -8*v**2 - 8*v + 9. Calculate x*r(g) + 9*z(g). 2*g**2 + 2*g Let s(g) = -3*g**3 + 8*g**2 - 7*g. Let c(u) = -u**3 + 4*u**2 - 4*u. Determine 5*c(v) - 2*s(v). v**3 + 4*v**2 - 6*v Let k(m) = 15*m**3 - 6*m**2 + 4*m + 4. Let s(l) = -14*l**3 + 5*l**2 - 3*l - 3. Give 3*k(a) + 4*s(a). -11*a**3 + 2*a**2 Let u(x) = -17*x + 19. Let s(t) = -17*t + 17. Let m(c) = 4*s(c) - 3*u(c). Let p(y) = -6*y + 4. Calculate -4*m(j) + 11*p(j). 2*j Let p(r) be the third derivative of -r**3/2 - 2*r**2. Let o(h) be the second derivative of -h**3/6 - h**2 + 3*h + 1. Determine -3*o(g) + 2*p(g). 3*g Let j(r) = -17*r**3 + 5*r**2 - 7*r. Let m(o) = 8*o**3 - 2*o**2 + 3*o. Determine 3*j(f) + 7*m(f). 5*f**3 + f**2 Let v(a) = -a**3 - 1. Suppose 2 = -0*w + w. Let l(m) = -m**3 + m**2 - 2*m - 2. Calculate w*v(y) - l(y). -y**3 - y**2 + 2*y Let z(a) be the first derivative of -2*a**3/3 + 2*a**2 + 3*a + 1. Let c(m) = 2*m - 9 - 11*m + 4*m**2 + 2 + 0*m**2. Calculate -3*c(u) - 7*z(u). 2*u**2 - u Let u(r) = -42*r - 7. Let a(k) = -41*k - 6. Determine -7*a(v) + 6*u(v). 35*v Let z(j) = j + 1. Let a(x) = 4*x + 2. Calculate -3*a(v) + 8*z(v). -4*v + 2 Let f(t) = 6*t + 2. Let z(p) = -15*p - 6. Let s(a) = 10*a + 4. Let w(x) = 8*s(x) + 5*z(x). What is 6*f(l) - 7*w(l)? l - 2 Suppose 0 = 2*d - 3*w + 7, 4*d + 22 = w - 3*w. Let r(s) = -5*s + 1. Suppose -3*v = 2*m - 12, -2*m = -0*v - v - 4. Let p(f) = -9*f + 1. What is d*r(c) + m*p(c)? -2*c - 2 Let f(b) = 2*b**2 - 4. Let n(z) = 1 + 7*z**2 + 6*z**2 - 14*z**2. Determine f(t) + 4*n(t). -2*t**2 Let l(c) be the third derivative of 0*c**4 + 0 + 1/3*c**3 + 0*c - 1/60*c**5 + 2*c**2. Suppose 0 = 2*v + 18 - 0. Let b(d) = 5*d**2 - 9. What is v*l(x) - 2*b(x)? -x**2 Let w(j) = -j + 5. Let v(s) = s - 6. Let y be (1/2)/((-4)/(-40)). What is y*w(i) + 4*v(i)? -i + 1 Suppose -6 = -a + 2*a. Let m(b) = b**2 + 4*b - 6. Let p(t) be the first derivative of t**3 + 11*t**2/2 - 17*t - 14. Calculate a*p(z) + 17*m(z). -z**2 + 2*z Let s(h) = -3*h**2 - 7*h - 31. Let d(n) = 2*n**2 + 5*n + 21. What is -7*d(u) - 5*s(u)? u**2 + 8 Let s(a) be the second derivative of -4*a**3/3 - 3*a**2 - 4*a. Let w(i) = 14*i + 5. Let m(u) = 7*u + 3.
{ "pile_set_name": "DM Mathematics" }
11/3 = 0? -1/14, 22 Factor 4*g**3/5 - 1188*g**2/5 + 89964*g/5 - 259308/5. 4*(g - 147)**2*(g - 3)/5 Factor -2*s**3 - 1164*s**2 + 2334*s - 1168. -2*(s - 1)**2*(s + 584) Let 4*s**4 + 408*s**3 + 804*s**2 + 400*s = 0. What is s? -100, -1, 0 Factor -2*b**2/3 - 88*b/3 + 30. -2*(b - 1)*(b + 45)/3 Factor 2*q**5/13 - 270*q**3/13 - 540*q**2/13 + 9720*q/13 + 34992/13. 2*(q - 9)**2*(q + 6)**3/13 Factor -2*v**2 - 8*v/7. -2*v*(7*v + 4)/7 Determine z so that z**2/8 + 777*z/4 - 389 = 0. -1556, 2 Factor 4*x**3 + 16*x**2 + 12*x. 4*x*(x + 1)*(x + 3) Let -k**2 - 42*k - 41 = 0. What is k? -41, -1 Determine l, given that 5*l**5 - 5*l**4 - 25*l**3 + 25*l**2 + 20*l - 20 = 0. -2, -1, 1, 2 Find w such that -4*w**5/7 - 12*w**4 - 432*w**3/7 = 0. -12, -9, 0 Factor -12*k**3/7 - 1143*k**2/7 - 285*k/7. -3*k*(k + 95)*(4*k + 1)/7 Find r, given that -12*r**5 - 116*r**4 - 104*r**3 + 528*r**2 + 608*r - 256 = 0. -8, -2, 1/3, 2 Determine l, given that 14*l**5/3 + 220*l**4/3 - 64*l**3/3 = 0. -16, 0, 2/7 Solve 160*v**2 + 44*v - 8 = 0 for v. -2/5, 1/8 Suppose 5*n**5 - 60*n**4 - 220*n**3 + 2400*n**2 + 8000*n = 0. What is n? -4, 0, 10 Factor 3*t**4 + 444*t**3 + 426*t**2 - 2196*t + 1323. 3*(t - 1)**2*(t + 3)*(t + 147) Factor 12*f**4 + 51*f**3 - 912*f**2 - 231*f. 3*f*(f - 7)*(f + 11)*(4*f + 1) Find h such that -3*h**4/4 - 33*h**3/4 - 18*h**2 + 27*h = 0. -6, 0, 1 Factor -s**2/3 + 23*s/3 + 376. -(s - 47)*(s + 24)/3 Factor 3*c**2 + 147*c + 774. 3*(c + 6)*(c + 43) Factor -4*m**3 + 8*m**2 + 116*m + 168. -4*(m - 7)*(m + 2)*(m + 3) Factor 3*r**3 - 255*r**2 - 519*r - 261. 3*(r - 87)*(r + 1)**2 Factor 5*x**3 + 790*x**2 - 1595*x + 800. 5*(x - 1)**2*(x + 160) Solve 78*y**2/5 + y/5 = 0 for y. -1/78, 0 Determine d, given that -3*d**3 + 1770*d**2 - 3528*d = 0. 0, 2, 588 Factor 2*n**3 - 40*n**2 - 42*n. 2*n*(n - 21)*(n + 1) Determine g so that g**3/7 + 58*g**2/7 + 16*g = 0. -56, -2, 0 Find l, given that -2*l**3/9 + 10*l**2/9 - 8*l/9 = 0. 0, 1, 4 Factor q**3 + 3*q**2 - 10*q. q*(q - 2)*(q + 5) Factor 2*v**3 - 54*v**2 + 192*v - 184. 2*(v - 23)*(v - 2)**2 Solve -3*z**2/5 - 231*z + 3492/5 = 0 for z. -388, 3 Suppose -4*b**2 - 28*b = 0. What is b? -7, 0 Factor 2*i**3 + 58*i**2 - 560*i + 1184. 2*(i - 4)**2*(i + 37) Let 36*m**5/5 + 1308*m**4/5 + 5152*m**3/5 + 5168*m**2/5 + 1536*m/5 = 0. What is m? -32, -3, -2/3, 0 Find j such that j**5/3 + 8*j**4/3 - 32*j**3/3 + 14*j**2/3 + 31*j/3 - 22/3 = 0. -11, -1, 1, 2 Solve 14*y**3/5 + 18*y**2/5 - 62*y/5 + 6 = 0. -3, 5/7, 1 Factor r**3/2 + 11*r**2/2 + 13*r + 8. (r + 1)*(r + 2)*(r + 8)/2 Determine i so that 4*i**5 + 68*i**4 + 376*i**3 + 704*i**2 - 128*i - 1024 = 0. -8, -4, -2, 1 Factor -2*n**2/5 + 2*n/5 + 12. -2*(n - 6)*(n + 5)/5 Solve 2*f**4/17 - 228*f**3/17 + 7144*f**2/17 - 2160*f + 46656/17 = 0 for f. 2, 4, 54 Factor -4*c**4 - 432*c**3 + 1324*c**2 - 888*c. -4*c*(c - 2)*(c - 1)*(c + 111) Let -36*c**4 - 172*c**3 + 1552*c**2 + 4848*c - 1152 = 0. Calculate c. -8, -3, 2/9, 6 Factor 2*j**3 + 396*j**2. 2*j**2*(j + 198) Find r such that -2*r**5 + 40*r**4 - 96*r**3 - 116*r**2 + 226*r + 204 = 0. -1, 2, 3, 17 Factor -f**2/3 + 17*f/3 + 38/3. -(f - 19)*(f + 2)/3 Factor -4*d**4 + 92*d**3 - 393*d**2 + 612*d - 324. -(d - 18)*(d - 2)*(2*d - 3)**2 What is b in -2*b**4 - 4*b**3 + 14*b**2 - 8*b = 0? -4, 0, 1 Factor -v**5/8 + v**4/2 - 3*v**3/8. -v**3*(v - 3)*(v - 1)/8 Find v such that -v**2 + 3*v + 270 = 0. -15, 18 Factor -2*k**2 - 1844*k - 425042. -2*(k + 461)**2 Suppose 60*k**4 - 219*k**3 + 288*k**2 - 159*k + 30 = 0. What is k? 2/5, 1, 5/4 Factor -4*w**5 - 20*w**4 - 24*w**3 + 8*w**2 + 28*w + 12. -4*(w - 1)*(w + 1)**3*(w + 3) Solve -8*a**4/17 - 50*a**3/17 + 54*a**2/17 + 74*a/17 - 70/17 = 0 for a. -7, -5/4, 1 Determine j, given that -j**5/5 + 4*j**4/5 - 6*j**3/5 + 4*j**2/5 - j/5 = 0. 0, 1 Solve 4*k**3 + 144*k**2 - 156*k - 296 = 0 for k. -37, -1, 2 Let -2*a**5/11 + 14*a**4/11 + 2*a**3 - 46*a**2/11 - 20*a/11 + 32/11 = 0. Calculate a. -2, -1, 1, 8 Solve 3*c**2 - 60*c = 0. 0, 20 Factor -5*g**5 + 55*g**4. -5*g**4*(g - 11) Solve -f**5 + 42*f**4 - 481*f**3 + 840*f**2 - 400*f = 0. 0, 1, 20 Factor 4*c**2 + 264*c - 544. 4*(c - 2)*(c + 68) Find z, given that 13*z**2/4 - 7*z/4 - 5 = 0. -1, 20/13 Suppose b**4/5 - 21*b**3 - 431*b**2/5 - 543*b/5 - 218/5 = 0. What is b? -2, -1, 109 Factor -x**5/4 - 2*x**4. -x**4*(x + 8)/4 Suppose -3*b**2/5 - 24*b - 105 = 0. What is b? -35, -5 Factor 5*p**2 + 40*p + 80. 5*(p + 4)**2 Find g such that 3*g**3/2 - 555*g**2/2 + 1887*g - 3204 = 0. 3, 4, 178 Let 3*s**3 - 18*s**2 - 81*s + 420 = 0. What is s? -5, 4, 7 Let d**2/4 - 14*d - 57/4 = 0. What is d? -1, 57 Solve -4*w**2 + 340*w + 344 = 0. -1, 86 Factor -6*x**4 + 44*x**3 - 38*x**2. -2*x**2*(x - 1)*(3*x - 19) Determine i, given that 8*i**4 + 76*i**3 + 148*i**2 + 56*i = 0. -7, -2, -1/2, 0 What is h in -2*h**2 + 12596*h - 19832402 = 0? 3149 Factor -3*q**3 + 570*q**2 - 1131*q + 564. -3*(q - 188)*(q - 1)**2 Factor -a**2/4 - 21*a - 83/4. -(a + 1)*(a + 83)/4 Factor -3*w**4 + 39*w**2 + 36*w. -3*w*(w - 4)*(w + 1)*(w + 3) Suppose -20*a**4 - 15*a**3 = 0. Calculate a. -3/4, 0 Factor 2*p**3/5 - 276*p**2/5 + 814*p/5 - 108. 2*(p - 135)*(p - 2)*(p - 1)/5 Factor 5*o**5 - 510*o**4 + 505*o**3. 5*o**3*(o - 101)*(o - 1) Find a such that 2*a**3 - 4*a**2 - 8*a + 16 = 0. -2, 2 Find y such that 3*y**2/7 - 633*y/7 + 1254/7 = 0. 2, 209 Factor -3*k**2 - 3*k + 90. -3*(k - 5)*(k + 6) Factor -4*j**2 + 208*j - 2704. -4*(j - 26)**2 Factor -2*k**2/3 + 14*k + 260/3. -2*(k - 26)*(k + 5)/3 What is x in 2*x**2 + 912*x + 103968 = 0? -228 Determine k so that -3*k**4 + 87*k**3 - 792*k**2 + 2160*k = 0. 0, 5, 12 Let 2*r**4/11 + 628*r**3/11 + 624*r**2/11 - 628*r/11 - 626/11 = 0. Calculate r. -313, -1, 1 Factor l**2/6 + l/3 - 35/6. (l - 5)*(l + 7)/6 Determine k so that -2*k**4 + 14*k**3 - 12*k**2 = 0. 0, 1, 6 Factor -r**3/6. -r**3/6 Determine j so that -2*j**5 + j**4 + 8*j**3 + 5*j**2 = 0. -1, 0, 5/2 Factor -2*o**2/7 + 192*o - 32256. -2*(o - 336)**2/7 Let -z**2/8 + 1515*z/8 + 379/2 = 0. Calculate z. -1, 1516 What is q in -3*q**4/7 + 12*q**3/7 + 96*q**2/7 = 0? -4, 0, 8 Find z such that -4*z**5/3 = 0. 0 Suppose -2*h**4/13 - 22*h**3/13 - 40*h**2/13 + 64*h/13 = 0. Calculate h. -8, -4, 0, 1 Let 4*h**3/5 + 24*h**2/5 + 44*h/5 + 24/5 = 0. What is h? -3, -2, -1 Suppose 2*a**3/3 + 338*a**2/9 + 12*a - 224/9 = 0. What is a? -56, -1, 2/3 Suppose 3*g**5/4 + 357*g**4/4 + 171*g**3/2 - 357*g**2 - 354*g = 0. What is g? -118, -2, -1, 0, 2 Factor 5*h**3 - 45*h**2 + 30*h + 80. 5*(h - 8)*(h - 2)*(h + 1) Find w, given that -2*w**2/9 - 16*w/9 - 14/9 = 0. -7, -1 Factor 2*g**3 - 1000*g**2 + 125000*g. 2*g*(g - 250)**2 Factor k**3/2 + 15*k**2/4 - 29*k/4 - 9/2. (k - 2)*(k + 9)*(2*k + 1)/4 Factor -r**2/3 + 341*r/3 - 340/3. -(r - 340)*(r - 1)/3 Determine j, given that 2*j**2/5 - 206*j/5 + 404/5 = 0. 2, 101 Factor -4*g**4 - 2456*g**3 + 7392*g**2 - 7400*g + 2468. -4*(g - 1)**3*(g + 617) Factor -81*j**3/4 - 279*j**2/2 - 112*j - 24. -(j + 6)*(9*j + 4)**2/4 What is x in -10*x**3/9 - 52*x**2/3 - 24*x + 112/9 = 0? -14, -2, 2/5 Find u such that u**2/4 - 35*u/2 + 1225/4 = 0. 35 Factor -y**2/11 - 303*y/11 - 900/11. -(y + 3)*(y + 300)/11 Solve 2*p**2/21 + 3392*p/21 - 2264/7 = 0. -1698, 2 Factor -m**5/4 - 17*m**4/4 - 63*m**3/4 + 81*m**2/4. -m**2*(m - 1)*(m + 9)**2/4 Determine m so that 5*m**5/2 - 65*m**4/2 - 120*m**3 + 2150*m**2 - 2000*m = 0. -8, 0, 1, 10 Solve 5*g**5 + 120*g**4 + 240*g**3 - 6250*g**2 + 4875*g + 11250 = 0. -15, -1, 2, 5 Factor -2*i**2/9 - 22*i/3 + 380/9. -2*(i - 5)*(i + 38)/9 Factor -p**2 + 4018*p. -p*(p - 4018) Determine i, given that 2*i**5/9 - 16*i**4/9 - 46*i**3/9 + 52*i**2/9 + 88*i/9 - 80/9 = 0. -2, 1, 10 Find g, given that -2*g**2 + 160*g - 608 = 0. 4, 76 Find d such that -2*d**2/3 + 26*d/3 = 0. 0, 13 Find y, given that -y**2 + 200*y + 404 = 0. -2, 202 Factor -5*t**4 + 220*t**3 - 2625*t**2 + 4410*t. -5*t*(t - 21)**2*(t - 2) What is s in 3*s**4/4 - 870*s**3 + 378450*s**2 - 73167000*s + 5304607500 = 0? 290 Factor 2*z**4/9 - 4*z**3/9 - 64*z**2/9 - 20*z/3 + 14. 2*(z - 7)*(z - 1)*(z + 3)**2/9 Suppose -o**3/3 - o**2/3 + 17*o/3 - 5 = 0. Calculate o. -5, 1, 3 Factor -14*p**3/9 + 80*p**2/9 + 122*p/9 + 28/9. -2*(p - 7)*(p + 1)*(7*p + 2)/9 Factor 43245*s**2 + 1860*s + 20. 5*(93*s + 2)**2 Factor -4*n**5/3 - 16*n**4/3 + 92*n**3/3 + 152*n**2/3 - 880*n/3 + 800/3. -4*(n - 2)**3*(n + 5)**2/3 Factor -2*y*
{ "pile_set_name": "DM Mathematics" }
j - 8)*(2*j**3 + 3 - 3) to the form b*j**3 + r*j**4 + c + o*j**2 + g*j and give r. 2048 Rearrange -12363*s**2 + 3*s**3 - 118 + 12363*s**2 + 2*s - 2*s to the form t*s**3 + n*s + c*s**2 + k and give t. 3 Rearrange -100*h - 49 + 53*h + 46 - h**4 + 47*h - 84*h**2 to the form y*h**4 + m*h**2 + o*h**3 + k*h + a and give y. -1 Rearrange (9 + 4*w - 9)*(2 + 0 - 3 - 19 + 25 - 16 - 3 + 6 - 4 + (-1 + 5 - 5)*(-4 + 2 + 1) + 1 - 2 - 1) to s*w + n and give s. -52 Express -2*g - 1 + 1 + (0*g - g + 0*g)*(-1 + 1 + 2) + (-321*g + 159*g + 535*g)*(-2 - 2 + 3) as o + d*g and give d. -377 Express -11*p**3 - 77 + 76 + 0*p + 3*p in the form s*p**3 + g + i*p + o*p**2 and give s. -11 Rearrange -15 - 14 + 258*a**2 + 29 to z*a + c + u*a**2 and give u. 258 Rearrange -1080*n**3 + 539*n**3 + 1 + 76*n**4 + 542*n**3 + 2*n**4 to the form k*n + i*n**4 + q*n**3 + f + v*n**2 and give f. 1 Express (d + 0 + 0)*(299*d - 182*d + 247*d)*(2 - 3 + 0) in the form b + l*d + z*d**2 and give z. -364 Rearrange 13*w - 23*w - 7 + 48 - 112 to the form j*w + q and give j. -10 Rearrange -978*z - 21*z**2 + 488*z + 2*z**3 + 492*z to the form l*z**3 + n*z + k*z**2 + v and give l. 2 Rearrange (3 - 2*x**2 - 3)*(-900*x - 1399*x - 1048*x) to the form l*x + w + s*x**2 + c*x**3 and give c. 6694 Express -40 + 26*o + 28*o - 57*o as i*o + d and give d. -40 Express -111*b**2 + 8*b**2 - 68*b**2 + 26*b**2 in the form r*b**2 + k*b + q and give r. -145 Rearrange (-7*d + 3*d + d - 6)*(0*d + 5*d - 3*d) to the form r*d**2 + c*d + n and give r. -6 Rearrange 1162*p - 26150 + 26150 to l + o*p and give o. 1162 Express 5*i + 2*i**2 - 5*i + (-1 + 2*i + 1)*(-4*i + 2*i + 3*i) + (-i + 10*i + 2*i)*(10 + 7 + 5)*(4*i - 3*i + 3*i) + i + i**2 - i as v + r*i**2 + a*i and give r. 973 Rearrange -2*g**4 - 28319 + 28319 + g**2 + 7*g to the form z + r*g**2 + n*g**3 + u*g**4 + c*g and give u. -2 Express (0 + y - 3 + 6)*(1 + 1 + 2) + (-8 + 0 - 5)*(2*y - y + 0*y) as x*y + i and give x. -9 Rearrange (2 - 2 - 3*h)*(2 - 3 - 6)*(-3 + 5 - 13)*(2 + 0 + 1) to the form a + b*h and give b. -693 Express (3*g - 2 + 5 - 1)*(13*g - 21*g + 12*g)*(0 - 3 + 2)*(9 + 4 - 2) as t + i*g**2 + h*g and give h. -88 Express (c + c - c)*(-c - c + 4*c) + (40*c - 13*c - 12*c)*(-3 + 3 - 2*c) + (-16 + 0*c + 2*c - 5)*(c + 2 - 2) in the form l + a*c**2 + m*c and give m. -21 Rearrange 19*s**3 + 2*s - 3 - 5*s**3 + 6 to l*s**3 + k*s**2 + g + m*s and give g. 3 Rearrange (-2*n + n - n)*(-248 + 248 + 93*n + 0*n - 2*n + 3*n + (2*n - 4*n + n)*(-6 + 3 + 1)) - 20 - 9*n**2 + 20 to u*n + d + m*n**2 and give m. -201 Rearrange 6*w + 0*w - 3*w + (2*w - 27*w + w)*(-1 + 1 + 1) to the form k + r*w and give r. -21 Express 2*x - 14 + 14 + (-3 + 4 - 3)*(-x - 4*x + 3*x) in the form h + o*x and give o. 6 Rearrange (-1 + z + 1)*(-143 - 576 + 64) to h*z + t and give h. -655 Rearrange 419256*o**3 - 419260*o**3 + 2*o - o + 3 - o + o**2 to z*o**3 + d*o + h + n*o**2 and give h. 3 Rearrange -2419 + 2419 - 1864*x to p*x + w and give w. 0 Express (124 - 364*r + 363*r + 15)*(-1 + 3 - 3)*(-3*r + 6*r - r) as c*r + h*r**2 + n and give c. -278 Rearrange (-1 + 1 + 9)*(3*n - 6*n + n)*(28 + 6 - 5)*(3*n + 0*n + 0*n) to the form p*n + c + g*n**2 and give g. -1566 Rearrange 2*a**4 + 3*a**3 + a**3 - 381 + 384 to the form j*a**3 + m*a**2 + t*a + w + y*a**4 and give w. 3 Express 2 - 2*q**3 + 20784*q**4 + q - 20797*q**4 - q**2 + 0*q**2 in the form k*q + t + i*q**3 + r*q**4 + v*q**2 and give v. -1 Express (33 + 64 + 50)*(3*u**3 + 0*u**3 + 4*u**3) as z + r*u + t*u**3 + x*u**2 and give t. 1029 Express (-313*u**3 + 81*u**3 + 68*u**3)*(-4 + 4 - 2)*(2*u + u + u) in the form b + w*u + i*u**2 + y*u**4 + x*u**3 and give y. 1312 Rearrange (-3*n**3 + 13 - 13)*(38 - 12 - 57 - 37) to c + q*n + m*n**2 + d*n**3 and give d. 204 Rearrange -8*j - j**2 + 2*j**2 + 7*j to a*j + k*j**2 + n and give a. -1 Rearrange -183*y**2 - 1 + 47*y**2 - 13*y**2 + 0 to the form q*y + l*y**2 + h and give h. -1 Express -6*k**2 + k**2 + k**2 + (1 - 1 + k)*(0 + 0 - 2*k) + 2*k**2 - 3*k**2 - k**2 - 6*k + 8 - 748*k**2 + 743*k**2 + 3*k as d*k**2 + b + r*k and give b. 8 Express ((2 - 1 + 1)*(2 - 4 + 0) + 0 - 3 + 6)*(-2*n - 3*n + 2*n)*(3*n**2 - n**2 + 4*n**2) in the form c*n + o*n**2 + g*n**3 + x and give g. 18 Rearrange 2 + 4*g**2 + 3*g**3 - g**2 + 0*g**3 - 2*g - 3*g + 3*g - 17*g**4 to m*g**2 + k*g**4 + d + j*g**3 + l*g and give m. 3 Express -14*k**4 + 13 - 13 + (k**2 + 3*k**2 - 2*k**2)*(2*k**2 - 2*k**2 - 2*k**2) - 21*k**4 + 1 + 3 - 3 - 1 as i*k**4 + z*k**2 + n + u*k**3 + s*k and give i. -39 Express 47*n + 3*n**3 + 2*n**2 - 1 - 51*n - 2*n**3 + 0*n**3 as b*n + r*n**2 + x*n**3 + s and give r. 2 Express (j**2 - 2*j**2 - j**2)*(-2 - 3 + 4) - 223*j**2 - 64*j**2 + 72*j**2 + (-j + 0*j + 3*j)*(3*j + 2*j - 3*j) as n*j + p*j**2 + t and give p. -209 Express 0*a - 4*a + 71*a as l*a + k and give k. 0 Rearrange -2*y**4 + 3 - y - 338*y**3 + 341*y**3 + 2*y**2 - 4 to b*y**4 + x*y**3 + d*y**2 + n*y + l and give d. 2 Rearrange -3*f - 42724*f**3 + 43273*f**3 + 5*f to the form w + c*f**2 + m*f**3 + n*f and give m. 549 Express 65357*y**2 - y**3 - 65409*y**2 - 16*y**3 in the form g*y**3 + i + h*y**2 + d*y and give g. -17 Rearrange (2*n + 2*n - n)*(3*n - 2*n - 2*n) + n**2 + 2*n**2 - 5*n**2 + (-5*n + 3 - 3)*(25*n + 24*n - 44*n) to the form v*n + x + y*n**2 and give x. 0 Express (2*s - 6*s + 2*s)*(-285 + 285 + 184*s) + 6 + 0 - 2*s**2 + 3*s**2 in the form j + t*s**2 + y*s and give j. 6 Express -6*c + 312*c + 33*c + 7*c - 2 in the form m + k*c and give k. 346 Express -6*r**4 + 4*r**4 + 17*r + 21*r**2 + 3*r**3 - 2 - 20*r**2 as s*r + k + a*r**3 + p*r**4 + y*r**2 and give a. 3 Express -9 - 61*y**2 + 18*y**3 + 3 + 8 + 86*y**2 in the form j*y + g*y**3 + l*y**2 + d and give l. 25 Express (3*i - i - i)*(4 - 6 - 1)*(-5 - 17 - 56) in the form m + l*i and give l. 234 Express x**2 + 2*x - 19*x + 7*x**2 + 10*x**2 as u + s*x**2 + q*x and give q. -17 Rearrange q**3 - q**2 + 63*q + 25 - 15*q - 52*q to v*q**2 + t*q + u*q**3 + d and give d. 25 Rearrange 2*a**3 + 2*a**4 + 18 - 52*a**2 + a**3 + 95*a**2 - a**3 - 45*a**2 to the form m*a**2 + z*a**3 + k*a**4 + x + p*a and give k. 2 Rearrange -173*s**3 + s**2 + 0*s**2 - 4*s + 172*s**3 - 4 to the form r*s + g*s**3 + n*s**2 + d and give n. 1 Rearrange (-16*u - 26*u + 23*u)*(1 - 2 + 2*u - 2) - 2*u**2 + 2*u**2 + u**2 to the form b + o*u**2 + w*u and give w. 57 Rearrange (0 - 2*w - w + 2)*(-750*w**3 + 374*w**3 + 375*w**3 + 43*w) to i*w**2 + l*w + g + h*w**4 + v*w**3 and give l. 86 Rearrange 125*o**2 - o**4 + 0*o**3 - 264*o**2 + 131*o**2 - 6*o**3 to the form r*o**2 + c*o**4 + w*o + y*o**3 + l and give r. -8 Express 303*h - 1300 + 1300 as a*h + n and give a. 303 Rearrange (135 - 303 - 2170)*(v**3 + 0 + 0) to the form c*v + d*v**3 + a + y*v**2 and give d. -2338 Express (-1 + 1 - 1057*c**2 + 1009*c**2)*(-48*c + 46*c + 9*c**2 - c**2) in the form i*c**2 + w*c**4 + g*c**3 + t*c + f and give w. -384 Rearrange 610*x + 62*x + 2551*x to the form n*x + l and give n. 3223 Rearrange (40*f + 1261 - 1261)*(0 + 0 + 1) to the form q + x*f and give x. 40 Express d - 3*d**4 - 6 + 150*d**3 - 64*d**3 - 79*d**3 in the form n*d**2 + q*d**4 + v*d + t + i*d**3 and give v. 1 Express 3 - 3 + 12068*n**3 + n - 11995*n**3 in the form d*n + c*n**2 + z*n**3 + g and give z. 73 Express 4*b + 5*b**4 - 29*b**3 - 5*b + 2*b**2 + 9 - 4*b**2 - b + 28*b**3 in the form n*b**3 + f*b**4 + o*b**2 + p*b + u and give p. -2 Rearrange 40*m**2 - 186*m**2 - 16*m**2 - 74*m**2 to q + g*m + u*m**2 and give u. -236 Rearrange (10*o - 10*o + 5*o**2)*(-1 + 1 + 2 - 1 + 0 + 2 + (-1 + 1 - 1)*(-1 + 0 - 1))*(46*o - 24*o - 12*o) to the form v*o**3 + k*o**2 + t*o + w and give w. 0 Express 4*x + 1 - 9*x**3 + 0*x**2 - 9*x**3 - x**2 + 19*x**3 as c*x**2 + h*x**3 + u*x + t and give h. 1 Rearrange 74 + 0*z + z + 90 - 150 to y*z + j and give y. 1 Rearrange 1 - 10*i**4 + 44*i**4 + 2*i**3 - 77*i**4 - 2*i - 15*i**4 to v*i**4 + l + p*i**2 + z*i + x*i**3 and give z. -2 Express (6 + 0 + 47)*(10 + 12*p - 10) as z + n*p and give n. 636 Express (4790 - 4790 + 29*o)*(-1 + 1 - 2) as q + u*o and give u. -58 Rearrange (0*v**2 + 0*v**2 - v**2)*(-2 + 2 + 4*v)*(-28*v + 9*v - 5*v) to the form z*v**3 + k*v**4 + l*v + r + x*v**2 and give k. 96 Express -206 + 3*b**2 - 6*b**2 + 92 in the form u*b**2 + w + c*b and give w. -114 Rearrange 834*p + 4 - 429*p -
{ "pile_set_name": "DM Mathematics" }
1, 2 Let d(g) be the first derivative of 5*g**3/3 - g + 7. Let n be d(-1). Factor -20*f**5 - 8*f**2 - f**4 + 4*f + 16*f**5 + 9*f**n. -4*f*(f - 1)**3*(f + 1) Factor -4/3*n + 0 + 10/3*n**2 + 2/3*n**5 - 2*n**3 - 2/3*n**4. 2*n*(n - 1)**3*(n + 2)/3 Let z(y) be the second derivative of 2*y**7/21 + 2*y**6/15 - 9*y**5/5 - 3*y**4 + 21*y. Factor z(i). 4*i**2*(i - 3)*(i + 1)*(i + 3) Let k(j) be the first derivative of -j**4/14 + 2*j**3/7 + 9*j**2/7 + 10*j/7 + 32. What is f in k(f) = 0? -1, 5 Let n be (-24)/8 - -5*1. Let o(r) be the second derivative of -1/33*r**4 + 0*r**5 + 1/165*r**6 + 0*r**3 + 0 + 1/11*r**n + r. Factor o(u). 2*(u - 1)**2*(u + 1)**2/11 Find v such that 2/11*v**5 - 36/11*v**4 + 0*v + 0 + 0*v**2 + 162/11*v**3 = 0. 0, 9 Let c(a) = 5*a**3 + 18*a**2 + 9*a - 30. Let u(p) = -20*p**3 - 71*p**2 - 38*p + 120. Let r(x) = -9*c(x) - 2*u(x). Determine l, given that r(l) = 0. -3, -2, 1 Let a(t) be the third derivative of t**6/30 - t**5/15 - t**4/3 + 16*t**2. Factor a(r). 4*r*(r - 2)*(r + 1) Let k(z) be the third derivative of -5*z**7/357 + 4*z**6/51 + 67*z**5/170 + 29*z**4/51 + 20*z**3/51 + 41*z**2 - 2. Suppose k(i) = 0. What is i? -1, -2/5, 5 Let j be (-2)/4*498/(-360). Let l = -1/40 + j. Determine k, given that -l*k - 4/3 + 2/3*k**2 = 0. -1, 2 Let r(u) be the third derivative of u**9/151200 - u**7/4200 + u**6/900 + 2*u**5/5 + 20*u**2. Let l(k) be the third derivative of r(k). Factor l(v). 2*(v - 1)**2*(v + 2)/5 Let p(u) be the second derivative of 13*u + 1/28*u**4 + 0 - 3/14*u**2 + 0*u**3. Factor p(h). 3*(h - 1)*(h + 1)/7 Suppose 5*r + 3*d - 28 = 0, 7 - 3 = -r + d. Let 5*g**4 - 95/4*g**3 - 25/4*g + 115/4*g**r - 15/4 = 0. Calculate g. -1/4, 1, 3 Suppose -4*o - v = -15, 22*v - 27 = 4*o + 17*v. Let 0 - x + 1/3*x**o = 0. Calculate x. 0, 3 Let g(w) be the second derivative of 0*w**2 + 0 + 1/20*w**5 + 1/6*w**4 + 21*w + 0*w**3. Solve g(o) = 0. -2, 0 Let y(q) = -q**3 - 6*q**2 + 5*q - 10. Let i be y(-7). Suppose 0 = i*d + d. Factor 8*c**3 - 10*c**3 - 2*c**4 + d*c**4. -2*c**3*(c + 1) Let n(a) be the first derivative of a**4/22 + 2*a**3/3 + 19*a**2/11 + 18*a/11 - 56. Factor n(i). 2*(i + 1)**2*(i + 9)/11 Let z(v) be the second derivative of 0*v**3 - 1/100*v**5 - 8*v + 1/40*v**4 + 0 + 2*v**2. Let q(h) be the first derivative of z(h). Factor q(f). -3*f*(f - 1)/5 Let n(y) = 36*y + 6*y**2 - 1 + 4*y**2 - 26*y - 24. Let q(t) = 7*t**2 + 7*t - 17. Let z(u) = 5*n(u) - 7*q(u). Factor z(r). (r - 2)*(r + 3) Let k(v) be the first derivative of 2*v**3/9 - 2*v**2 - 32*v/3 + 65. Factor k(d). 2*(d - 8)*(d + 2)/3 Let -6 + 125*r**3 + 64*r**2 + 35*r + 70 + 205*r + 236*r**2 = 0. What is r? -4/5 Let l(n) be the second derivative of -1/32*n**4 - 1/32*n**5 - 1/120*n**6 + 0*n**2 - 2/3*n**3 + 0 + 5*n. Let b(m) be the second derivative of l(m). Factor b(i). -3*(i + 1)*(4*i + 1)/4 Let a(r) be the third derivative of 0*r**3 + 0*r + 19*r**2 + 0*r**4 - 1/80*r**5 - 1/560*r**7 + 3/320*r**6 + 0. Solve a(x) = 0 for x. 0, 1, 2 Factor -16*o**2 + 448*o + 41*o**2 + 266*o - 16*o**2 - 12*o**2 - 42483. -3*(o - 119)**2 Let a(z) be the third derivative of 1/1050*z**7 + 1/600*z**6 + 0 + 0*z - 1/15*z**3 - 1/24*z**4 + 21*z**2 - 1/100*z**5. Let a(w) = 0. What is w? -1, 2 Let c(j) be the second derivative of j**6/6 - 2*j**5 - 25*j**4/2 - 80*j**3/3 - 55*j**2/2 - j + 14. What is n in c(n) = 0? -1, 11 Let a(x) be the second derivative of -x**6/90 + x**5/15 + x**4/18 - 2*x**3/3 - 57*x**2/2 - x + 1. Let b(d) be the first derivative of a(d). Factor b(n). -4*(n - 3)*(n - 1)*(n + 1)/3 Let r(o) be the first derivative of 9*o**4/28 - 23*o**3/7 + 60*o**2/7 + 48*o/7 - 166. Find s, given that r(s) = 0. -1/3, 4 Let y = 76 + -74. Factor -4*t**3 - 25 + y*t**2 + 27 + 2*t**5 - 6*t**2 + 2*t + 2*t**4. 2*(t - 1)**2*(t + 1)**3 Let h(c) = -3*c**4 + 15*c**3 + 39*c**2 + 21*c - 7. Let f(l) = 3*l**4 - 15*l**3 - 39*l**2 - 21*l + 6. Let w(p) = 7*f(p) + 6*h(p). Solve w(d) = 0. -1, 0, 7 Let r(z) be the second derivative of -z**7/280 - z**6/60 + z**5/40 + z**4/4 - 35*z**3/6 + 33*z. Let a(x) be the second derivative of r(x). Solve a(h) = 0. -2, -1, 1 Let a(m) = -5*m**3 + 11*m**2 + 2. Let t(y) = 4*y**3 - y**2 - 1. Let h(n) = -a(n) - 2*t(n). Factor h(q). -3*q**2*(q + 3) Let o = 32/3 - 21/2. Suppose 8*y + 32/3 + o*y**3 + 2*y**2 = 0. Calculate y. -4 Let d(x) = -16*x**4 - 8*x**3 - 4*x**2 + 4. Let n(g) = g**5 - 2*g**4 - g**3 - g**2 + 1. Let y(i) = -d(i) + 4*n(i). Let y(s) = 0. Calculate s. -1, 0 Factor -k**2 - 1/3 + 1/3*k**3 + k. (k - 1)**3/3 Let u(m) be the third derivative of 2*m**7/105 - 4*m**6/15 - 8*m**5/5 + 16*m**4/3 + 160*m**3/3 - 22*m**2. Suppose u(j) = 0. What is j? -2, 2, 10 Let o(d) be the first derivative of -14/45*d**3 + 9 + 8/15*d**2 + 8/15*d - 1/6*d**4. Let o(v) = 0. Calculate v. -2, -2/5, 1 Let k(w) be the second derivative of w**6/135 - w**5/45 + w**4/54 - w - 62. Factor k(a). 2*a**2*(a - 1)**2/9 Let a = 104 - 144. Let x = a - -43. Factor 0 + 0*r + 1/5*r**2 - 1/5*r**x + 1/5*r**5 - 1/5*r**4. r**2*(r - 1)**2*(r + 1)/5 Let q(p) be the second derivative of -7/1620*p**6 + 1/27*p**4 - 2/3*p**3 + 0*p**2 + 0 + 1/45*p**5 - 2*p. Let v(n) be the second derivative of q(n). Factor v(k). -2*(k - 2)*(7*k + 2)/9 Let c(n) be the third derivative of -n**6/165 + n**5/330 - 55*n**2. Let c(d) = 0. What is d? 0, 1/4 Factor -180*a - 68 + 36*a**3 + 164*a**4 - 53*a**4 - 52*a**4 - 55*a**4 + 52*a**2 - 132. 4*(a - 2)*(a + 1)*(a + 5)**2 Let w(x) be the first derivative of 6*x + 0*x**2 + 3 - 1/15*x**3 - 1/50*x**5 + 1/15*x**4. Let k(v) be the first derivative of w(v). Factor k(a). -2*a*(a - 1)**2/5 Let x(h) be the second derivative of -7*h**6/60 + h**5/20 + 91*h**4/24 + 29*h**3/6 - 6*h**2 - h - 126. Find l, given that x(l) = 0. -3, -1, 2/7, 4 Let -6*a**5 + 2*a**5 + 34*a - 34*a + 459*a**4 + a**5 = 0. Calculate a. 0, 153 Let q = 398 - 1178/3. Factor q + 0*w - 4/3*w**2. -4*(w - 2)*(w + 2)/3 Determine p so that -108*p**3 + 134*p**4 - 22*p**4 + 3193*p - 1599*p + 16 - 236*p**2 - 1594*p = 0. -1, -2/7, 1/4, 2 Let v(w) be the first derivative of -w**3/4 - w**2 - w - 12. Solve v(y) = 0. -2, -2/3 Let m = -2507/13 - -193. Let z be (1*(-2 + 4))/(22 - 9). Let -m*s**2 - 4/13*s - z = 0. Calculate s. -1 Let d = -20 + 20. Determine a, given that d*a + 2*a**2 - 4 + 4*a - 7*a + a = 0. -1, 2 Let z(b) be the second derivative of 0*b**3 - 1/18*b**4 - 1/45*b**6 + 1/15*b**5 + 0 - 6*b + 0*b**2. Find k such that z(k) = 0. 0, 1 Suppose -2/9*k**3 + 0*k + 2/9*k**5 + 0 + 2*k**4 - 2*k**2 = 0. What is k? -9, -1, 0, 1 Suppose 19153*f = 19152*f + 2. Factor -86/19*b + 10/19*b**f - 36/19. 2*(b - 9)*(5*b + 2)/19 Solve 2/3*u**4 + 0 - 17/3*u**2 - 7/6*u - 23/6*u**3 = 0 for u. -1, -1/4, 0, 7 Let m(s) be the second derivative of 0*s**2 - 1/3*s**3 + 1/80*s**5 + 6*s - 7/48*s**4 - 2. Factor m(a). a*(a - 8)*(a + 1)/4 Let r = 35 + -21. Suppose 0 = -3*f - 5*l + 11, -5*l + l + r = 5*f. Determine n, given that 0*n - n - 4 + 6*n**3 - 4*n**4 - 5*n + 8*n**f = 0. -1, -1/2, 1, 2 Let z(m) = -5*m**4 + 4*m**3 + 6*m**2 - 4*m - 1. Suppose 3 = -3*f - 9. Let x(t) = -4*t**4 + 3*t**3 + 5*t**2 - 3*t - 1. Let g(s) = f*x(s) + 3*z(s). Factor g(i). (i - 1)**2*(i + 1)**2 Suppose 0 = -3*x + 5*j + 9, x - 1 - 2 = 5*j. Factor -x*h**4 - 5*h**3 - 10*h**2 + 2*h**4 + 6*h**4. 5*h**2*(h - 2)*(h + 1) Let t(b) = b**3 + 17*b**2 + 31*b + 17. Let m be t(-15). Let q(w) be the first derivative of 4/5*w**m - 5 - 8/5*w**3 - 7/10*w**4 + 0*w. Factor q(u). -2*u*(u + 2)*(7*u - 2)/5 Let x be (3 - 315/(-20))/(22/256). Let l = x - 218. Let -4/11*v**2 - l*v**3 + 0 + 0*v = 0. Calculate v. -2, 0 Let l(y) be the first derivative of -y**3/6 - 7*y**2/4 + 4*y - 22. Let l(r) = 0. What is r? -8, 1 Factor -222/5*l + 44 + 2/5*l**2. 2*(l - 110)*(l - 1)/5 Solve 0 + 3/8*b**3 + 3/8*b**2 + 0*b = 0. -1, 0 Solve -34*c**2 + 16*c + 10*c**2 + 8*c**2 + 13*c**2 + 59*c = 0 for c. 0, 25 Suppose 2*w = 6, 2*d = 2*w + 6 + 24. Suppose -3*j = 2*j - y - 14, j - 4*y - d = 0. Suppose -2/5*q**j - 2/5*q + 4/5 = 0. Calculate q. -2, 1 Let o(b) be the third derivative of b**7/105 - 13*b**6/60 + 238*b**2. Factor o(f). 2*f**3*(f - 13) Suppose -15 = -4*t - 18*x + 21*x, -5*t + 5*x + 25 = 0. Find u, given that -1/6*u**5 + t*u**4 - 1/6*u + 0 + 0*u**2 + 1/3*u**3 = 0. -1, 0, 1 Factor -4*t**2 + t**5 + t**4 - 1451*t**3 + 727*t**3 + 2*t**2 + 1 + t + 722*t**3. (t - 1)**2*(t + 1)**3 Suppose 1080 = 14*
{ "pile_set_name": "DM Mathematics" }
ssuming d is positive. d**(252/17) Simplify ((s*(s**(-8)*s*s)/s*s)/(s*s*s**(1/5)*s))**(17/5) assuming s is positive. s**(-697/25) Simplify ((q/q**(-1))**(-22)*(q*q/(q/(q/(q*q/(q*q**1/q)*q)*q)))/q**(-3))**(-44) assuming q is positive. q**1760 Simplify ((k**14/k*k)/k*k**(-4/9))/(k**(-4)*k)**(-2/23) assuming k is positive. k**(2545/207) Simplify ((v/(v/(v/(v**(1/2)/v*v)))*v*v)/v)/(((v*((v**(2/7)/v)/v*v)/v)/v)/v)*(v*v/(v/(v/(v*(v*v/v**(2/25))/v)*v)))**(-33) assuming v is positive. v**(-10999/350) Simplify b**15*b*b**(-1/2)*b*(b**(-3/7))**21 assuming b is positive. b**(15/2) Simplify (g**(6/7)*g)/g**(2/73)*g**(-2/13)/((((g*g**7)/g)/g)/g) assuming g is positive. g**(-22082/6643) Simplify ((x**22)**(-47))**36 assuming x is positive. x**(-37224) Simplify ((r*r/(r**21/r))/(r**(-33)/r*r))/(r**0)**(1/8) assuming r is positive. r**15 Simplify ((h**(-1/9)/h**(2/13))/((h/h**(-5/3)*h)/((h/(h*h/h**(1/8)))/h)))**(4/33) assuming h is positive. h**(-5435/7722) Simplify (c/(c**(-19)*c)*c/(c/(c/(c/((c**(-6/23)*c)/c)))))**40 assuming c is positive. c**(17240/23) Simplify (a**(-8)/(a**(1/40)/a))/(a**0/a*a/(a/(a*a*a**(-1/2)))) assuming a is positive. a**(-301/40) Simplify (((v**(-1/5))**(-25/3))**(-14/9))**(2/89) assuming v is positive. v**(-140/2403) Simplify ((t*t*t*t**(-3/7)*t)/t**(-1))/(t**(9/2)/(t/t**(2/39))) assuming t is positive. t**(557/546) Simplify (b*b**3)**5/((b**(-3/10)*b*b)/b*(b**(-4)/b*b)/b) assuming b is positive. b**(243/10) Simplify (u**(-5)*u**(-15))/(u/u**10*(u*u*u*u/u**(-1/4))/u) assuming u is positive. u**(-57/4) Simplify (q**0)**(-23)/(q/(q/q**(-2/3)*q)*q*q)**(1/63) assuming q is positive. q**(-1/189) Simplify ((c/c**(-1/3))/c)**(-6)*(c**(-6))**(-30) assuming c is positive. c**178 Simplify (w**(-3)/(w*w**8))/(w*w**(-3/17)*(w/w**(-19))/w) assuming w is positive. w**(-541/17) Simplify v**(-4/9)*v*v**11*(v/(v/(v*v/(v*v**1))))**(-5/2) assuming v is positive. v**(104/9) Simplify (((w*w**(-21)*w*w)/w)/(w*w/((w/((w*w**(-2/23))/w))/w)))**47 assuming w is positive. w**(-22607/23) Simplify (t**(-1/4)*((t**(-3/8)/t)/t)/t)/(t**(2/7)*t**(-9/4)) assuming t is positive. t**(-93/56) Simplify (s**(9/5)*s**(2/7))/(s/s**(-4))**(-8) assuming s is positive. s**(1473/35) Simplify (((g*g*g/(g*g**(-5)*g))**(-45))**9)**(1/53) assuming g is positive. g**(-2430/53) Simplify (x/(x/(x**(1/7)/x))*x**(-1/16))/(x**(-19)/(x*x**(-2/7)/x*x)) assuming x is positive. x**(2105/112) Simplify (i/i**(-21)*i*i*(i*i**(-14)*i)/i*i)/((i/((i*i**17)/i))/i**30) assuming i is positive. i**58 Simplify n**(-15)*n*n/(n/(n/(n*n/(n/n**(2/3)*n)*n*n)))*n*(n*n**(-1/9))/(n*n*n**(12/5)) assuming n is positive. n**(-818/45) Simplify ((y**(-3)*y)/y**5*y**(-7)/(y**(1/4)*y))**(-2/103) assuming y is positive. y**(61/206) Simplify (c/(c/((c**2*c)/c*c)))**13*c*c**(2/9)*c*c**(-12) assuming c is positive. c**(263/9) Simplify ((n/(((n*n**(7/4)*n)/n*n)/n))/n**(-2/33))/(n**(-17/4))**(19/6) assuming n is positive. n**(3107/264) Simplify ((c/((c/(c*c**(-5/6)*c))/c)*c)/c*c*c)**(-10/13)/(c**(-1)/c)**(-43) assuming c is positive. c**(-3479/39) Simplify ((t/(t*t**(-1/5)))**(-8))**(-44) assuming t is positive. t**(352/5) Simplify g**(-2/9)*g/((g*g**31)/g)*(g**(3/7)*g)**(-36) assuming g is positive. g**(-5144/63) Simplify i**(-7)/(i*i**(-4/7))*(i/i**(12/7))/i*i**21 assuming i is positive. i**(83/7) Simplify (b*(b/(b**10/b))/b)/b*b**10*(b**(3/2)/b)**(-13) assuming b is positive. b**(-11/2) Simplify ((q**(-22))**(-1/2))**(-2/39) assuming q is positive. q**(-22/39) Simplify (z**3)**(-8/7)/(((((z*z/(z*z**(3/8)))/z*z)/z)/z)/(z/(z*z/(z*z**(-5))*z))) assuming z is positive. z**(-451/56) Simplify (((f/(f**(-1/7)*f))/(f*f**6*f))/(((f**(3/7)/f)/f)/(f*f**(-1/6))))**(-33) assuming f is positive. f**(2519/14) Simplify (c**(-3/4))**48*((c**(-1/4)/c)/c*c)**(-24) assuming c is positive. c**(-6) Simplify (c**23*c*c/c**(-4/11))/(c**(-7/3)/c**(-23)) assuming c is positive. c**(155/33) Simplify ((t**32)**35)**50 assuming t is positive. t**56000 Simplify (p*p**(-7))/(p/p**(-1/7))*((p*p/(((((p**(2/45)/p)/p)/p)/p)/p))/p)/(p**(-5/7)*p*p*p) assuming p is positive. p**(-1094/315) Simplify ((d*d*d**(-23))/(d/d**(-22)))/((d**13/d)/d**15) assuming d is positive. d**(-41) Simplify (i**(-2/15)/(i/i**(-5)))/(i**13/(i*i**(1/6)/i)) assuming i is positive. i**(-569/30) Simplify (k**(1/3)*k*k*k*k/(k*k**37)*k)/((k*k**33)/(k/((k/(k**(1/20)*k))/k))) assuming k is positive. k**(-3877/60) Simplify (o/(o**(-1/2)*o))/(o*(o/((o*(o/(o/(o**(1/8)/o)*o))/o*o*o)/o*o)*o)/o)*o**(-1/7)/o**(-1) assuming o is positive. o**(-29/56) Simplify (t/(t**(-2)/t))**(-4/17)*(t**(-5)*t)**(1/2) assuming t is positive. t**(-50/17) Simplify (((g/(g*g**(2/9)*g))/(g/((g/(g*g**(1/3)))/g)))**28)**(2/7) assuming g is positive. g**(-256/9) Simplify (i**(-1))**(-2/127)*i**1*i**(-12) assuming i is positive. i**(-1395/127) Simplify (q**10*q/(q**(-1/6)*q*q))/(q/(q**(-3/4)*q))**(1/17) assuming q is positive. q**(1861/204) Simplify y/y**34*y*y*y**(2/125)*y**(-2/87)*y**(-12)*y*y assuming y is positive. y**(-445951/10875) Simplify (v**(1/3))**(1/7)/(v*v**6*v*v**6/v) assuming v is positive. v**(-272/21) Simplify ((w/(w**0*w))**(3/17)*(w*w*w**0)/(w/(w/(w/(w**5/w)))*w*w))**34 assuming w is positive. w**102 Simplify ((f*f**(-3/2)*f*f*f/(f/f**(-1/2))*f)**(-2/85))**(-6/13) assuming f is positive. f**(24/1105) Simplify (t*t/((t**(-3/10)/t)/t)*t)**(5/13)*(t**(-16)/t)/(t/(t*t/(t/t**14*t*t*t))*t) assuming t is positive. t**(-129/26) Simplify v/((v**20*v)/v)*v*v/(v/((((v/(v*v**(-12)))/v)/v)/v))*v*v*v**(-1/5)/v**(-5) assuming v is positive. v**(-11/5) Simplify k*k**9*k**(-4/13)*k*k**(-1/15)/((((k*k/(k*k*k/(k**4/k)*k*k)*k)/k)/k)/k) assuming k is positive. k**(2462/195) Simplify q**(-8/7)/q*q*q/(((q**(-3/5)/q)/q)/q)*q*q*q*q**(-1/31)*q**(-5/7) assuming q is positive. q**(6196/1085) Simplify (j**(-4)*j**0*(j**(2/25)/j)/((j*j**(2/3))/j))**(-41) assuming j is positive. j**(17179/75) Simplify t**(-3/8)*t/(t*(t/t**(-7/2))/t)*(t*t/t**2*t)**(2/5) assuming t is positive. t**(-139/40) Simplify ((w**(4/5)/w)/w)**(2/33)/((w**20*w)/(w*w**(-3/10))) assuming w is positive. w**(-2241/110) Simplify (((o/(o/(o/(o*o**7/o*o))))/o)/o**(-18))**(-8/9) assuming o is positive. o**(-80/9) Simplify w*w**(-23)*w/w**2*w**(-2/29)/((w*w*w/(w*(w*w**(-1/6)*w)/w)*w)/w) assuming w is positive. w**(-4217/174) Simplify ((j/(j**(-2/9)*j))/j)**47*(j*j/(j/j**4*j)*j)/(j*(j*((j**(-11)*j)/j*j)/j)/j) assuming j is positive. j**(-194/9) Simplify p**(-1/5)/((p*p**(5/2)/p)/p)*p**(1/5)*p**(-3)*p assuming p is positive. p**(-7/2) Simplify (m*m**(-6))**(2/33)/(m**15/((m/m**(1/5))/m)) assuming m is positive. m**(-2558/165) Simplify j**(-6/11)/((j**(-21)/j)/j)*j**(11/5)*j**(10/3) assuming j is positive. j**(4618/165) Simplify (b**(-1/17)/(b*b**1*b*b))/(b/(b/(b/(b**(-34)*b)))*b*b*b/((b**4/b*b)/b)*b*b) assuming b is positive. b**(-681/17) Simplify (k**(-1/5)*k/k**(-5))/((k/(k/(k/k**(-14))*k*k))/k**(-14)) assuming k is positive. k**(-106/5) Simplify (p**(-11)/p)**(1/70)*(p**(-1/6)*p)/p*p**18*p assuming p is positive. p**(3919/210) Simplify ((n/(n*n**8))/n**(2/3)*(n/(n**0*n))**(1/24))**33 assuming n is positive. n**(-286) Simplify (g**(-2)/(((g**(-2/7)/g*g)/g)/g*g))**(-31) assuming g is positive. g**(155/7) Simplify ((b/b**(-14)*b)/b**(-26))/(b/b**10)**1 assuming b is positive. b**51 Simplify s/(s**(-11)*s*s)*s**(-8)*(s**5)**(-1/33) assuming s is positive. s**(61/33) Simplify k*k**(-4/11)*k**(5/3)*(k*k*k**(2/5)*k)**(-44) assuming k is positive. k**(-24304/165) Simplify ((c*(c*c/c**(1/5))/c)/c)/c**19*c**(-2)/(c/c**(-2/37)) assuming c is positive. c**(-3932/185) Simplify (h**28/(h/((h**7/h)/h)))/(h/((h/h**15)/h)*h)**(-44) assuming h is positive. h**780 Simplify (t**(1/15)*t**(-17))/(t**(-6/5)*t/(t/(t*t**(-1/3)*t*t))) assuming t is positive. t**(-92/5) Simplify (s/(s*s/(((s**11*s)/s)/s)*s*s)*s**11)/(s/(s/(s**14*s))*s**(-12)) assuming s is positive. s**15 Simplify (z**(-13/2)/(z/(z*z**(2/5)*z)))/(z**(-2/47)/(z/(z/(z*z**(2/21))*z))) assuming z is positive. z**(-48977/9870) Simplify (m*m*m**(-2/3)*m**(1/6))/((((m*m**(8/3))/m)/m)/m**(-2/11)) assuming m is positive. m**(-23/66) Simplify (o*o**(3/7)/o*o*o)**48*o/o**(-8)*(o/(o/o**16))/o assuming o is positive. o**(984/7) Simplify (((l**(-3/14))**27)**(1/25))**20 assuming l is positive. l**(-162/35) Simplify k**18*k*k*k**(1/5
{ "pile_set_name": "DM Mathematics" }
). 6592*o**2 - 3 Suppose 2*z - 6 + 2 = 0. Let c(s) = z*s + 5*s - 13*s + 5*s. Let n(k) be the third derivative of -k**5/3 - 3*k**2. Give c(n(f)). 20*f**2 Let p(k) = 2*k**2. Let u(n) = 14979665*n**2. Calculate p(u(v)). 448780727024450*v**4 Let i(b) = 25380*b**2 + 5922*b + 658. Let f(t) = -193*t**2 - 45*t - 5. Let x(p) = -658*f(p) - 5*i(p). Let o(j) = 3*j**2. Calculate x(o(s)). 846*s**4 Let z(k) = k**2 - 412187*k. Let v(x) = 2*x. Calculate v(z(d)). 2*d**2 - 824374*d Let c(k) be the second derivative of 0*k**3 + 0*k**2 + 23 + 1/12*k**4 - 3*k. Let p(u) = 209*u**2 + 2*u. What is c(p(x))? 43681*x**4 + 836*x**3 + 4*x**2 Let r(s) be the third derivative of s**5/60 - s**4/24 - 617*s**3/2 + 17*s**2 + 3*s. Let d(h) = -2*h. Calculate r(d(j)). 4*j**2 + 2*j - 1851 Let a(p) = -97141*p. Let m(y) = 115*y + 2. What is m(a(v))? -11171215*v + 2 Let i(c) = 2. Let f(s) = 16 - 19 - 7 - 2*s + 0*s. Suppose -8 = 4*r + 12. Let d(l) = r*i(l) - f(l). Let h(o) = -o. What is d(h(x))? -2*x Let x(a) = 14509*a. Let b(r) = -1071*r**2 - 1. Determine x(b(h)). -15539139*h**2 - 14509 Suppose w + 5*i = -1, -i = -3*w + 6 + 7. Suppose -8*h + 15852 = w*h. Let v(r) = h - r**2 - 1321. Let u(c) = -13*c**2 + 3*c. What is v(u(x))? -169*x**4 + 78*x**3 - 9*x**2 Let z(u) be the first derivative of 3*u**2/2 + 2. Let l(c) = -545*c**2 - 155. Let o(q) = 21*q**2 + 6. Let w(s) = 6*l(s) + 155*o(s). Calculate z(w(a)). -45*a**2 Let i(d) = -2*d**2. Suppose -6*c - 2*b = -3*c - 69, -b = -3*c + 60. Let n(r) = r - 21 - 18 + 97 - c - 21. Determine i(n(l)). -2*l**2 - 64*l - 512 Let y(p) be the third derivative of -p**4/12 + 9*p**3 + 4*p**2 + 87. Let z(k) = 63*k. Give y(z(g)). -126*g + 54 Let r(y) = -88*y**2. Let k(t) = -4310*t**2. What is r(k(z))? -1634696800*z**4 Let l(z) = -41*z + 49*z - 9*z. Let m(a) = 195*a**2. What is m(l(q))? 195*q**2 Let x(a) = -87934634*a. Let h(p) = p**2. What is h(x(o))? 7732499856713956*o**2 Let z(u) = 124*u**2 + 134*u - 10. Let q(d) = 42*d**2 + 40*d - 3. Let f(c) = 10*q(c) - 3*z(c). Let r(a) = -21*a. Determine f(r(p)). 21168*p**2 + 42*p Let w(t) = -24823*t - 25001*t - 24166*t + 75028*t. Let g(z) = 3*z. What is g(w(o))? 3114*o Let h(a) = a. Let t(p) = -74 + 10058*p + 35 + 39. What is t(h(r))? 10058*r Let r(b) be the first derivative of -4*b**3/3 - 4462. Let o(y) = -1831*y. Calculate o(r(k)). 7324*k**2 Let m(n) = 3436*n**2. Let v(b) = 7*b**2 - 18*b - 2. Let t(u) = 45*u**2 - 117*u - 13. Let q(c) = 6*t(c) - 39*v(c). Give m(q(l)). 30924*l**4 Let k(l) = 343*l**2 - 7371428 + 7371428. Let d(y) = 2*y. Determine d(k(f)). 686*f**2 Let i(o) = -157259*o**2. Let w(q) = 195*q. Determine i(w(a)). -5979773475*a**2 Let l(g) = 15*g. Let t(m) = -185*m**2 - 50823*m + 50823*m. Calculate t(l(i)). -41625*i**2 Let n(c) = -134 - 16 + 150 + 18*c. Let x(q) = -60*q**2. Calculate x(n(y)). -19440*y**2 Let g(q) = 4584689*q - 4584689*q - 3*q**2. Let v(r) = 2*r**2 + 147*r. What is v(g(d))? 18*d**4 - 441*d**2 Suppose 0 = 2*k + 76 - 86. Let r(i) = -8*i**2. Let j(o) = -18*o**2. Let u(l) = k*r(l) - 2*j(l). Let g(m) = -3*m**2. Determine u(g(y)). -36*y**4 Let v be 4/(-3)*(-8 - -7)*21. Let x(f) = 15*f - v*f + 9*f + 6*f. Let i(m) = 6*m - 9*m - 12*m. Determine x(i(r)). -30*r Let a(h) = -1158*h - 1. Let g(l) = -22*l**2 + l - 1. Let y(n) = -133*n**2 + 6*n - 6. Let r(d) = -6*g(d) + y(d). Calculate r(a(x)). -1340964*x**2 - 2316*x - 1 Let p(o) = 1458*o. Let r(s) = 2*s**2 - 46 + 46 + 58*s - 58*s. Calculate p(r(l)). 2916*l**2 Let z(w) = 4*w + 2*w - 6 + 6. Let l(p) = -18*p - 13*p + 31*p + 20*p**2. Calculate l(z(k)). 720*k**2 Let c(p) = 7*p**2 + 9*p. Let x(f) = 5*f**2 + 6*f. Let i(t) = 2*c(t) - 3*x(t). Let b(r) = 3*r + 4. What is b(i(h))? -3*h**2 + 4 Suppose -k - 12*k = -65. Let u(n) be the third derivative of -1/30*n**k + 0*n**3 - 13*n**2 + 0*n + 0*n**4 + 0. Let z(d) = 2*d**2. Give u(z(b)). -8*b**4 Let x(b) be the first derivative of 358*b**3 + 1704. Let w(p) = p**2. Determine x(w(k)). 1074*k**4 Let m(f) = 3*f**2. Let k be ((-640)/240 + (2 - -1))*1. Let a(v) be the first derivative of 0*v**2 + k*v**3 + 0*v + 18. Calculate m(a(d)). 3*d**4 Let o(c) = 11*c. Let d be 63/(-14)*8/(-6). Let s(l) = -7*l**2 + 12*l**2 - d*l**2 - l**2. Determine o(s(k)). -22*k**2 Let n(s) be the first derivative of 2*s**3/3 + 11261. Let d(r) = 11*r - 4. Let g(t) = -45*t + 15. Let p(w) = -15*d(w) - 4*g(w). Determine n(p(c)). 450*c**2 Let b(u) = -13*u**2. Let p(o) = -1456*o + 7. Give p(b(z)). 18928*z**2 + 7 Let h(m) = -1658*m**2 + 3325*m**2 - 1666*m**2. Let b(d) = -d**2 + 75*d - 13. Calculate b(h(n)). -n**4 + 75*n**2 - 13 Let b(s) be the first derivative of 614*s**2 - 1653. Let q(h) = h. Give b(q(n)). 1228*n Let n(f) = 6*f**2 - 36*f + 2. Let u be n(6). Let x(s) = 3*s**u + 15 + 3*s**2 - 7*s**2 - 15. Let g(z) = -2*z + 36. Give x(g(j)). -4*j**2 + 144*j - 1296 Let z(g) = 13*g. Let c(h) = -107*h + 6. Let j(u) = -3115*u + 175. Let a(p) = -175*c(p) + 6*j(p). Give z(a(v)). 455*v Let w(u) = 76432*u + 3. Let a(s) = 12*s. Determine w(a(q)). 917184*q + 3 Let x(w) = -59*w**2 + 4*w + 4. Let y(a) = -44*a**2 + 3*a + 3. Let c(i) = -3*x(i) + 4*y(i). Let k(b) = -1096*b. What is c(k(m))? 1201216*m**2 Let c(v) = -2*v - 499. Let i(u) be the second derivative of -u**3/3 - 7683*u. Calculate c(i(g)). 4*g - 499 Let b(v) = -3*v. Let m = -1017 + 1011. Let d = 4 - 8. Let o(n) = -n**2 + 2*n. Let l(f) = -3*f. Let r(k) = d*l(k) + m*o(k). Give b(r(u)). -18*u**2 Let s(d) = -6*d**2. Let y(r) = -136*r - 6. Let z(j) = -131*j - 4. Let l(p) = 2*y(p) - 3*z(p). Give l(s(b)). -726*b**2 Let v(y) = -516 + 26*y + 516. Let o(m) = m + 2. Let x(k) = 1. Let c = 11 - 13. Let a(l) = c*x(l) + o(l). Determine v(a(w)). 26*w Let a(q) be the second derivative of q**4/12 + 534*q - 11. Let d(b) = 12*b**2 - 3*b + 0 + 0. Determine d(a(m)). 12*m**4 - 3*m**2 Let f(o) = 87*o - 72. Let m(u) = 26*u - 26. Let k(s) = 4*f(s) - 11*m(s). Let b(z) = 12*z. Give k(b(g)). 744*g - 2 Let h(d) = 10*d**2. Let q(r) = -7*r + 14095. What is q(h(c))? -70*c**2 + 14095 Suppose -35*n + 159*n - 481 - 15 = 0. Let a(f) be the third derivative of 0 - 1/8*f**n - 6*f**2 + 0*f**3 + 0*f. Let m(y) = 8*y**2. What is m(a(r))? 72*r**2 Let j(x) = 5*x. Let h(a) = 61*a - 4. Let b(o) = -258*o + 17. Let f(v) = -2*b(v) - 9*h(v). Calculate j(f(q)). -165*q + 10 Let i(n) = 4*n**2 - 2*n - 6. Let f(k) = k + 3. Let l(v) = 4*f(v) + 2*i(v). Let h(j) = 14*j**2 - 3*j. Determine h(l(o)). 896*o**4 - 24*o**2 Let c(m) = 3*m + 18847. Let x(f) = -5*f + 7. Calculate x(c(b)). -15*b - 94228 Let c(s) = -1406*s. Let l(u) = 1186*u**2. What is c(l(d))? -1667516*d**2 Let w(z) = -11*z**2 + 3*z - 5*z + 2*z. Let s(x) be the second derivative of -x**4/12 + 9*x - 1. Determine w(s(f)). -11*f**4 Let u(i) = i + 2. Let c(q) = -1. Let g(t) = -2*c(t) - u(t). Let n(a) = 193*a + 23. Let x(j) = 115*j + 13. Let v(o) = 3*n(o) - 5*x(o). Calculate v(g(d)). -4*d + 4 Let t(x) = -2820679*x. Let o(y) = 18*y**2. What is t(o(c))? -50772222*c**2 Let s be (78/(-52))/((-2)/44). Let i(a) = -2*a + 32 + 0*a + s - 65 + 8*a**2. Let d(t) = 3*t. Calculate i(d(r)). 72*r**2 - 6*r Let w(z) = 513351*z**2. Let n(x) = 4*x**2. Give w(n(q)). 8213616*q**4 Let t(d) = 36666*d - 1654*d**2 - 505*d**2 - 36666*d - 792*d**2. Let m(u) = 2*u. Calculate t(m(k)). -11804*k**2 Let b(h) = -6 + 5*h + 6. Let p(u) be the first derivative of 5*u**2 - 13747. Give b(p(m)). 50*m Let y be (0 - (-8)/(-28))*-14. Suppose -y*z + 21 + 11 = 0. Let q(x) = -16 - 2*x**2 + 24 - z. Let s(d) = -10*d**2. Give q(s(j)). -200*j**4 Let q(v) = -v - 162. Let y(b) = -13*b + 72. Let m(k) = 196*k - 1092. Let f(x) = -6*m(x) - 91*y(x). Determine q(f(j)). -7*j - 162 Suppose 51*h = 61*h - 520. Let i(f) = -106*f - 78. Let r(g) = 12*g + 9. Let a(z) = h*r(z) + 6*i(z). Let y(d) = -18*d. What is a(y(m))? 216*m Let y(b) = 21*b. Let t(u) = 2210*u + 12. Determine y(t(v)). 46410*v + 252 Let s(v) = 540874*v. Let t(i) = 9*i**2. Give s(t(n)). 4867866*n**2 Let p(i) be the second derivative of 0*i**2 + 6*i - 17/6*i**3 - 3. Let y(s) be the second derivative of -s**4/4 + 2*s. Give y(p(b)). -867*b**2 Let j(m) = 0*m + m**2 + 0*m. Let n(s) = 53*s - 93*s - 77 + 58*s. Let d(q) = -9*q + 42. Let z(p) = -11*d(p) - 6*n(p). Give z(j(o)). -9*o**2 Let n(m) = -2144*m**2. Let q(b) = -14*b. Let v(i) = -17*i. Let p(j) = 5*q(j) - 4*v(j). Determine p(n(t)). 4288*t**2 Suppose 24*z = 40*z - 16. Let x(o) =
{ "pile_set_name": "DM Mathematics" }
2288160*f**3 What is the third derivative of 2727*y**5 - 18*y**4 + 3*y**3 - 4559802*y**2? 163620*y**2 - 432*y + 18 What is the third derivative of -c**6*p + 2*c**3*p**2 - 3806*c**3 - 2*c**2*p**2 + c**2*p - 12*c**2 - 1026*c*p**2 - 9*p**2 wrt c? -120*c**3*p + 12*p**2 - 22836 What is the second derivative of 9*m**4 + 26*m**3 - 61*m**2 - 192*m - 318 wrt m? 108*m**2 + 156*m - 122 Find the third derivative of -543*g**4 + 61*g**3 - 2*g**2 + 19265*g wrt g. -13032*g + 366 Differentiate 241*i*l**2*u - 11*i*l*u + 119*i*u - 61*i + 3*l**2*u - 1 wrt l. 482*i*l*u - 11*i*u + 6*l*u What is the third derivative of 1252918*o**5 - 6*o**2 + 238*o - 6? 75175080*o**2 Differentiate -109468*k**2*s - 191*k**2 - s - 71 wrt s. -109468*k**2 - 1 Find the second derivative of -69671*q**2 + 6*q + 4742 wrt q. -139342 What is the second derivative of -11720*a**2*u**2 + a**2 - 2473*a*u + 4*u**3 wrt u? -23440*a**2 + 24*u What is the derivative of -83*k**2*u + 30871*k*u - 253385*u + 1 wrt k? -166*k*u + 30871*u Differentiate 88*f**2*o**2 + 5266467*f**2 + 2*f*o + 6142*o wrt o. 176*f**2*o + 2*f + 6142 What is the first derivative of 4655*h*l**3*p + 2*h*l**3 - 4*h*l**2 + 6*h*p - 1071 wrt p? 4655*h*l**3 + 6*h Find the second derivative of -y**4 - 1646*y**3 + 4*y**2 - 25009*y wrt y. -12*y**2 - 9876*y + 8 Find the second derivative of -317884*g**3 + 250093*g wrt g. -1907304*g Find the first derivative of -247*l**2*w + 3*l**2 - l*w**2 + l*w - 6491*w**2 wrt l. -494*l*w + 6*l - w**2 + w What is the second derivative of 12113*h*t*u**2 - 2036*h*t*u - 2*h*t - 17*h*u + t*u**2 wrt u? 24226*h*t + 2*t What is the second derivative of 4*s**4 + 34*s**3 + 9*s**2 - 1807*s + 1? 48*s**2 + 204*s + 18 What is the third derivative of 17023*y**5 - 52213*y**2 wrt y? 1021380*y**2 What is the first derivative of -1466339*v - 1034567? -1466339 Find the second derivative of -2*c**2*i**2*u**2 + 4*c**2*i**2*u + 16354*c**2*i*u**2 + 3861*i**2*u wrt u. -4*c**2*i**2 + 32708*c**2*i Find the first derivative of 1035*w**2 - 93*w - 426453 wrt w. 2070*w - 93 What is the derivative of -3*f**4 - 4252*f - 7599 wrt f? -12*f**3 - 4252 What is the second derivative of -2*c*n**3 + 25931*c*n**2 - 18*c*n + 99*c - 2*n**3 + 4*n + 6 wrt n? -12*c*n + 51862*c - 12*n Find the third derivative of -6*k*y**4 - k*y**3 + 137*k*y**2 - 772*y**4 - y**3 + 934*y**2 wrt y. -144*k*y - 6*k - 18528*y - 6 Find the second derivative of -8*l**5 - 12*l**3 - 511*l**2 + 403*l + 112 wrt l. -160*l**3 - 72*l - 1022 What is the third derivative of -2*l**5 - 24392*l**3 - 54434*l**2 wrt l? -120*l**2 - 146352 What is the third derivative of -2*p**3*q**2 + 25708*p**3*q - 4*p**3 + 477*p**2*q**2 - 282*p**2*q - p**2 + 2*p + 2*q wrt p? -12*q**2 + 154248*q - 24 What is the third derivative of -607*i**6 + 41*i**4 + 170228*i**2 wrt i? -72840*i**3 + 984*i Find the third derivative of -d*o**3*q**3 + 74193*d*o**3*q + 16*d*o**2*q - 2*d*o*q + 10*d*o - o**2*q**3 wrt o. -6*d*q**3 + 445158*d*q Find the second derivative of -189362*o**4 - 23114*o. -2272344*o**2 Find the second derivative of 2*n**5 + 93554*n**4 - 2*n**2 + 114194*n. 40*n**3 + 1122648*n**2 - 4 Find the second derivative of 13*r**2*u**2*y + 2*r**2*u**2 + 2*r**2*u*y - 2*r**2 + 23*r*u*y - 75*u**2*y + 2*u**2 - 4*u + 2*y wrt u. 26*r**2*y + 4*r**2 - 150*y + 4 What is the second derivative of -7*k**4*p - 8478*k**4 - 2*k*p + 2*k - 10*p + 1260 wrt k? -84*k**2*p - 101736*k**2 What is the second derivative of -2*g**3*l**2 + 2*g**3*l - 1235*g**3 + 21519*g*l**2 wrt g? -12*g*l**2 + 12*g*l - 7410*g What is the third derivative of 2*w**6 - 18534*w**4 + 6*w**2 - 3*w + 1248? 240*w**3 - 444816*w Differentiate 32*h*k*w + 3*h*k - 115*h*w + 2*h + 1662*k*w + 104*k with respect to h. 32*k*w + 3*k - 115*w + 2 What is the derivative of -2*j**2*u*w + 386*j**2*u - 36*j**2 + 208*j*u*w**2 + j*u + 22*j*w**2 - 2*j wrt w? -2*j**2*u + 416*j*u*w + 44*j*w What is the second derivative of -8684*c**2*s*u**2 + 5*c**2*s*u + 154*c**2*u wrt u? -17368*c**2*s Find the third derivative of -53653*y**3 - 60*y**2 - 112. -321918 What is the third derivative of -7845*o**4 + 22*o**3 - 2*o**2 + 266629*o? -188280*o + 132 Find the third derivative of -2111945*i**5 - 10*i**2 - 76737 wrt i. -126716700*i**2 Find the third derivative of 1165794*t**6 + 3*t**2 + 24874*t wrt t. 139895280*t**3 Differentiate -a**2*w**3 - 2*a**2*w*x + 85*a**2*w*y - 6*a*w**3*y + a*w**2 + 2*a*w*x - 97*a*x*y + 240*a*x - w**2 with respect to y. 85*a**2*w - 6*a*w**3 - 97*a*x What is the derivative of 895*r**2*v**2 + r**2*v - 11*r*v**2 + 27875*v**2 wrt r? 1790*r*v**2 + 2*r*v - 11*v**2 Find the second derivative of -16*j**3*m**2 + 2*j**3*m*z**2 + 3*j**2*z**3 + 112*m**2*z**3 - m*z + 40*m wrt m. -32*j**3 + 224*z**3 Differentiate -83523*q + 74109. -83523 Find the second derivative of 20*y**2*z**2 + 2*y**2*z + 136*y**2 - 17886*y*z + 3*z**2 wrt y. 40*z**2 + 4*z + 272 What is the second derivative of 118*c*i**3 + 5*c*i**2 + 260*c*i + 3*c + 2*i**3 + 2*i**2 - 2*i wrt i? 708*c*i + 10*c + 12*i + 4 Find the third derivative of -2*i*w**3 + 832*i*w**2 - i*w*z**3 + 2*i*w - 2*i + 240833*w**3*z**3 + 6*z**2 wrt z. -6*i*w + 1444998*w**3 Find the second derivative of -3*b**3*h**2 - b**3*h + b**3 + 8*b**2*h**2 - 231754*b*h + 2*b + 922*h**2 - h wrt h. -6*b**3 + 16*b**2 + 1844 What is the second derivative of 81552*p**2*t**3 + 7*p**2*t + 2*p*t + 3569*p wrt t? 489312*p**2*t What is the second derivative of -23027*o**2 - 772*o wrt o? -46054 Differentiate 1784*w**2 - w + 614480 with respect to w. 3568*w - 1 Differentiate -b**3 - 2070*b**2*d*z - 7*b*d + 4*d*z - 3*d - 19*z - 292 with respect to b. -3*b**2 - 4140*b*d*z - 7*d What is the third derivative of -6*j**2*k*q**3 + 13032*j**2*q**3 + 4585*j**2*q**2 - 2*j*k + 99*j*q**2 - 2*k*q wrt q? -36*j**2*k + 78192*j**2 What is the third derivative of 171*i**6 - 114*i**2 + 3*i - 3 wrt i? 20520*i**3 What is the derivative of -630607*n + 281650? -630607 What is the first derivative of 1481*h**3*l - 30*h**3 - 6*h**2*l + 420*h**2 + h + 12*l wrt l? 1481*h**3 - 6*h**2 + 12 What is the second derivative of -6*f*n**3*p - 2*f*n**2*p - 1179*f*n*p**2 - 9*f*p**2 - n**3*p**2 + 297*n**2 - 2*n wrt p? -2358*f*n - 18*f - 2*n**3 Find the third derivative of -4686*i**2*m**4 + 2*i**2*m**2 - 17119*i**2 wrt m. -112464*i**2*m Find the third derivative of 3192*o**3*y**4 - 352*o**3*y + 70*o**2*y**2 + 3*o*y**5 wrt y. 76608*o**3*y + 180*o*y**2 What is the third derivative of 5502965*p**3 - 229802*p**2 + 4*p? 33017790 Find the third derivative of 247*u**6 - u**5 + 2*u**3 + 47*u**2 + 3987 wrt u. 29640*u**3 - 60*u**2 + 12 What is the derivative of -575795*g**3 + 359348 wrt g? -1727385*g**2 Find the second derivative of -327*o**5 + 4*o**4 - 11*o**2 - 384*o + 6. -6540*o**3 + 48*o**2 - 22 What is the derivative of 603895*p - 221816? 603895 What is the first derivative of -32*j*x**3 - 3*j*x**2 + 4*j*x - 80*j + 23*x**3 + 116*x wrt j? -32*x**3 - 3*x**2 + 4*x - 80 Find the second derivative of 244786*q**3*t*y**2 + q**3*t*y - 2*q**2 + 3*q*t*y + 4*q*y**2 + 65*t*y**2 - t*y + 3*y wrt q. 1468716*q*t*y**2 + 6*q*t*y - 4 Differentiate -15*x**4 - 52*x**2 - 3*x + 34422 with respect to x. -60*x**3 - 104*x - 3 Find the second derivative of 57*z**4 - 3434*z**2 + 29*z + 10572 wrt z. 684*z**2 - 6868 Differentiate 339*t**3 - 3296*t + 3581030 with respect to t. 1017*t**2 - 3296 Find the first derivative of 11*c**3 - 5*c**2 + 316*c + 764224 wrt c. 33*c**2 - 10*c + 316 Differentiate 8923*s**4 - 72288 with respect to s. 35692*s**3 What is the second derivative of -1859510*p**2 - 1253381*p? -3719020 What is the second derivative of -511*v**4 - 16*v**3 + 5*v**2 - 150217*v wrt v? -6132*v**2 - 96*v + 10 What is the derivative of g**3*l - 97074*g**3 + 1506*g**2*l**2 wrt l? g**3 + 3012*g**2*l What is the derivative of -233266*c + 591352 wrt c? -233266 What is the third derivative of -20909*r**6*s**3 + 810*r**2*s**3 + r**2*s wrt r? -2509080*r**3*s**3 What is the second derivative of -77833*m**3*v**2 + 421*m**3*v - m**3 - 6*m**2*v + m**2 - 6*v wrt v? -155666*m**3 Differentiate 220298*h**3 + 640510. 660894*h**2 What is the second derivative of -c**3*p**2 + 57*c**3*p + c**3 + 20*c**2*p**2 + 198*c**2*p + c*p**2 + 252*p**2 wrt p? -2*c**3 + 40*c**2 + 2*c + 504 Find the second derivative of 2855084*k**2 + k - 3965700 wrt k. 5710168 What is the second
{ "pile_set_name": "DM Mathematics" }
n + 135. Let k(z) = 5*a(z) - 2*d(z). Determine w so that k(w) = 0. -1, 43 Let n(v) = 5*v**2 + 1426*v + 576. Let p(y) = -18*y**2 - 4276*y - 1728. Let t(m) = 16*n(m) + 5*p(m). Factor t(c). -2*(c - 144)*(5*c + 2) Let j(l) = -4*l**3 + 29*l**2 + 36*l + 6. Let a(x) = -20*x**3 + 148*x**2 + 184*x + 32. Let w(h) = 3*a(h) - 16*j(h). Let w(m) = 0. Calculate m. -1, 0, 6 Let s(g) = g**2 - 2. Let b(j) = 2*j**2 - 218*j + 112. Let u(p) = b(p) + 2*s(p). Determine o, given that u(o) = 0. 1/2, 54 Factor -7678/5*z - 2/5*z**3 - 3842/5*z**2 - 3838/5. -2*(z + 1)**2*(z + 1919)/5 Let h(p) = -49*p**2 - 1133*p + 5798. Let k(c) = -23*c**2 - 566*c + 2901. Let l(g) = 6*h(g) - 13*k(g). Solve l(y) = 0 for y. -117, 5 Let y(i) = -i**5 - 4*i**4 - i**2 + 2. Let s(x) = -99*x**5 + 91*x**4 + 515*x**3 + 458*x**2 + 127*x. Let t(f) = s(f) + 3*y(f). Let t(j) = 0. Calculate j. -1, -2/3, -1/2, -1/17, 3 Let v(i) be the second derivative of 0 + 7/3*i**3 - 15*i + 0*i**4 + 1/1260*i**6 + 1/210*i**5 + 0*i**2. Let s(p) be the second derivative of v(p). Factor s(z). 2*z*(z + 2)/7 Suppose -16*f + 14 = -2. Suppose -83*a + a**2 + 165*a - 2 - 84*a - f = 0. What is a? -1, 3 Let w be 360/150 - (-4 + 8)/(2 + 8). Solve -2/3*u**4 + 2*u - 2*u**3 + 0 + 2/3*u**w = 0. -3, -1, 0, 1 Suppose 6 = -5*j + 5*i - 9, j - 1 = -3*i. Let s be (-276)/(-506) - j/(-165)*12. Factor -36/5*u + s*u**2 + 162/5. 2*(u - 9)**2/5 Let v(c) be the first derivative of -1/6*c**2 - 51 - 2*c + 1/9*c**3. What is k in v(k) = 0? -2, 3 Let q be (-4 - (-6)/2)/(5/(-15)). Solve 30*o**2 + 16*o + o**2 - 75*o**2 + 8*o**q + 20 = 0. -1/2, 1, 5 Let x = 1121958 + -286097936/255. Let t = x + -62/15. Suppose -t - 10/17*g**2 - 54/17*g = 0. Calculate g. -5, -2/5 Factor 97/4*m - 1/4*m**2 - 1/4*m**3 + 385/4. -(m - 11)*(m + 5)*(m + 7)/4 Suppose -4118*i = 3*q - 4113*i - 165, -55 = -q - 4*i. Solve -10/3*z**2 + q*z + 85/3 = 0 for z. -1/2, 17 Let c = -7/117051 + 117079/468204. Factor -15/4*w**2 + c*w**3 + 0 + 9*w. w*(w - 12)*(w - 3)/4 Suppose -1600*p + 5360 = -2640. Factor -8*z + 14*z**2 + 0 + 1/2*z**p - 6*z**3 - 1/2*z**4. z*(z - 2)**2*(z - 1)*(z + 4)/2 Suppose -93*j = -117*j + 120. Let p be ((-104)/48 + 3)/j. Factor -8/3 - 4/3*r - p*r**2. -(r + 4)**2/6 Determine q so that -2/9*q + 2/9*q**3 - 12*q**2 + 12 = 0. -1, 1, 54 Factor 3/8*n**2 + 69/4*n + 387/8. 3*(n + 3)*(n + 43)/8 Factor 169*g**2 + 12*g**3 - 14*g**3 - 57*g**2 + 16*g - 49*g**2 - 61*g**2 - 24. -2*(g - 2)**2*(g + 3) Let f be 25/(-600)*21*(512/(-280) - (-10)/25). Suppose -f*d**5 + 5 + 10*d - 25/4*d**4 - 35/4*d**3 + 5/4*d**2 = 0. What is d? -2, -1, 1 Factor -16*c**4 - 4*c**5 + 132 - 62*c**2 - 10*c**2 - 24 - 595*c**3 + 491*c**3 + 108*c - 20*c**4. -4*(c - 1)*(c + 1)*(c + 3)**3 Let g be ((-21774)/(-30))/(5/(-2) + 3). Let x = g - 1451. Factor -x*u**3 - 12/5 + 12/5*u**2 + 3/5*u. -3*(u - 4)*(u - 1)*(u + 1)/5 Let q(c) be the second derivative of 3*c**5/20 - 49*c**4/2 + 1040*c**3 + 24336*c**2 + 4075*c. Solve q(t) = 0 for t. -6, 52 Suppose 3*s = 11 + 79. Suppose -28 + 12 = n - 5*x, 3*x = 12. Determine m, given that 4*m**4 + 100*m - n*m**3 - s*m - 4*m**2 - 32*m - 34*m = 0. -1, 0, 1 Find a, given that -1728/7 - 60/7*a**2 + 576/7*a + 2/7*a**3 = 0. 6, 12 Let k be (-5)/(-1) + 141 + -2. Let d = -99 + k. Suppose 90*y**4 + 35*y**3 + d*y - 2 + 2 - 95*y**4 - 75*y**2 = 0. Calculate y. 0, 1, 3 Suppose -2*n = -1 + 25. Let i be n/9 + 10/3. Determine f, given that 3*f**3 - 8*f**3 - f**i - 4*f**2 + 0*f**3 = 0. -1, 0 Let a(p) be the second derivative of 11*p**7/441 + 31*p**6/105 + 97*p**5/105 - p**4/7 - 205*p**3/63 - 25*p**2/7 + 2133*p. Determine w, given that a(w) = 0. -5, -3, -1, -5/11, 1 Let t be (0 - 4 - -1)/1 - -5. Let h = 9 - 5. Factor q**3 + t*q**4 + q**3 + 4*q**3 - 3*q**5 + q**h. -3*q**3*(q - 2)*(q + 1) Suppose -46*x - 6 = -48*x. Suppose x*o = -2*s + 7, 5*o - 5 = -5*s + 5. Let 0*h - 2/15*h**o + 0 - 4/15*h**2 + 2/5*h**4 = 0. What is h? -2/3, 0, 1 Let n(g) be the third derivative of -17*g**2 - 1/12*g**5 - 95/12*g**4 - 185/6*g**3 + 0 - 5*g. Factor n(l). -5*(l + 1)*(l + 37) Let z(o) be the first derivative of -5*o**6/3 - 256*o**5/5 + 327*o**4/2 - 500*o**3/3 + 56*o**2 - 3599. Find a, given that z(a) = 0. -28, 0, 2/5, 1 Solve 2/9*i + 1/9*i**4 + 4/9*i**3 + 0 + 5/9*i**2 = 0. -2, -1, 0 Let x(i) be the second derivative of i**4/138 + 73*i**3/23 + 10*i - 51. Suppose x(v) = 0. Calculate v. -219, 0 Suppose -3 + 17 = 7*d. Find a such that 4*a**4 + 234*a + 32*a**d + 15*a**3 + 5*a**3 - 218*a = 0. -2, -1, 0 Let c(n) be the first derivative of -n**5/10 - 53*n**4/16 - 75*n**3/2 - 1309*n**2/8 - 605*n/2 + 4647. Let c(x) = 0. Calculate x. -11, -5/2, -2 Let m(a) be the second derivative of a**5/140 + 11*a**4/84 - 76*a**3/21 - 7089*a. Find c, given that m(c) = 0. -19, 0, 8 Let z(n) = -n**2 - 47*n + 1431. Let c be z(-68). Factor 2/9*g - 2/9*g**c + 4/9 - 4/9*g**2. -2*(g - 1)*(g + 1)*(g + 2)/9 Factor -770/3*o + 1160/3*o**2 + 64 - 260*o**3 + 200/3*o**4 - 2/3*o**5. -2*(o - 96)*(o - 1)**4/3 Let n(w) be the second derivative of -w**6/75 - w**5/5 + 23*w**4/6 - 16*w**3/3 - 204*w**2/5 + 2*w - 169. Suppose n(y) = 0. What is y? -17, -1, 2, 6 Let n be 5/40*74*4. Suppose 4*y + 5 = n. Factor 3 - y - p**2 + 3*p**2 + 3*p**2 + 20*p**3 - 20*p. 5*(p - 1)*(p + 1)*(4*p + 1) Let h(i) be the second derivative of -2*i**7/315 - i**6/75 + 2*i**5/25 + 7*i**4/90 - 2*i**3/15 - 80*i + 9. Suppose h(o) = 0. Calculate o. -3, -1, 0, 1/2, 2 Let w = -449 - -447. Let c(o) = 3*o**3 + 38*o**2 - 129*o + 98. Let z(h) = -21*h**3 - 267*h**2 + 903*h - 690. Let x(r) = w*z(r) - 15*c(r). Factor x(n). -3*(n - 2)*(n - 1)*(n + 15) Let a(c) be the third derivative of -c**6/300 + 37*c**5/150 - 104*c**4/15 + 256*c**3/3 + 76*c**2 - 6*c. Factor a(o). -2*(o - 16)**2*(o - 5)/5 Let c(r) = -2*r**3 - 63*r**2 - 28*r + 95. Let k be c(-31). Let b(x) = 56*x**2 - 46*x. Let g(v) = 2*v**3 + 2*v**2 + v. Let d(l) = k*g(l) - b(l). Factor d(p). 4*p*(p - 12)*(p - 1) Let j(s) = -s**4 + 8*s**3 + 17*s**2 + 6*s. Let i = -76 + 74. Let y(n) = -n**3 - n**2 + n. Let d(a) = i*y(a) - j(a). Suppose d(h) = 0. What is h? -1, 0, 8 Suppose 4*d - 6 = 14. Let g be 52/(-130) + (-124)/(-10) + -1. Determine j, given that d*j**5 - 13*j**4 + g*j**4 + 29*j**4 + 40*j**3 + 20*j**2 - 2*j**4 = 0. -2, -1, 0 Suppose 5*b = -5*l + 140, 19 = -4*l + 4*b + 99. Find i, given that 562 - 12*i**2 + 16*i**2 - l*i + 222 + 136*i = 0. -14 Suppose -151*w + 154*w = 162. Factor 4*u**3 - 225 - w*u**3 + 1548*u**2 + 5*u**4 - 1408*u**2 - 28*u - 2*u. 5*(u - 5)*(u - 3)**2*(u + 1) Find k such that 0*k + 1/5*k**2 + 17/10*k**4 + 19/10*k**3 + 0 = 0. -1, -2/17, 0 Let q = -201779/780 + 139/156. Let v = q + 261. Solve -32/5*r + 16/5 - 108/5*r**2 - 76/5*r**3 - v*r**4 = 0 for r. -2, -1, 1/4 Suppose 9*k = -4*k + 858. Let z be (-6)/k*-2 + 97/11. Factor -z*r**3 + 2 + 14*r**3 - 2. 5*r**3 Let s = -370397/4 + 92600. Find x such that -s*x**3 - 1/4*x**2 - 1/4*x**5 - 3/4*x**4 + 0 + 0*x = 0. -1, 0 Let p(c) be the second derivative of 0*c**2 - 1/30*c**6 + 226*c + 0*c**4 + 3/4*c**5 + 0 + 0*c**3. Determine x so that p(x) = 0. 0, 15 Let m be (-2)/((-18)/5) + (-52)/(-117). Let a(x) = 4*x**2 - 7*x - 6. Let q(w) = 2*w**2 - w + 2. Let j(z) = m*q(z) - a(z). Find y, given that j(y) = 0. -1, 4 Factor -15*l**5 + 6594*l**4 - 90363*l**2 - 200037*l**2 - 778796*l**3 + 55436*l**3 - 53*l + 53*l. -3*l**2*(l - 220)**2*(5*l + 2) Let f(l) be the third derivative of l**6/60 - l**5/6 - 25*l**4/6 - 139*l**2 - 2*l. Determine g so that f(g) = 0. -5, 0, 10 Let i(z) = z**2 + 19*z + 73. Let r be i(-14). Let j(k) be the first derivative of -7 + 2/3*k**r + k**2 - 4*k. Suppose j(n) = 0. What is n? -2, 1 Factor 63 + 496*j + 92 + 100 + 164 + 4*j**3 + 253 + 88*j**2. 4*(j + 2)*(j + 6)*(j + 14) Let q = 882 + -879. Find x, given that 49 + 451 - 6*x**q + 105*x**2 + 600*x + 9*x**3 + 2*x**3 = 0. -10, -1 Solve -109*i - 3*i**3 + 11*i**2 + 240 - i**3 - 11*i**2 + 285*i + 20*i**2 = 0 for i. -3, -2, 10 Let b(t) be the second derivative of -2/15*t**4 - 1/30*t**3 - 4*t + 1/100*t**5 + 4/5*t**2 - 3. Factor b(a). (a - 8)*(a - 1)*(a + 1)/5 Let f(s) be the second derivative of 0*s**2 + 7/45*s**7 + 3/25*s**5 - 119/225*s**6 + 8/45*s**3 - 36*s + 0 + 22/45*s**4. Suppose f(g) = 0. Calculate g. -2/7, 0, 1, 2 Suppose 5*d = -5, -5 = 3*g - 2*d + 11. Let h be 8/(-48) - g/4. Let 4/3 - h*i**2 - 2*i = 0. Calculate i. -2, 1/2 Let x(f) be the second de
{ "pile_set_name": "DM Mathematics" }
e -8*u = -u + 483. Let s = u + -12. Let o = -66 - s. Solve 0*m + o = -5*m for m. -3 Let w(j) = 94 - 41*j**2 + 12*j**2 + 5*j - 90. Let o be w(-1). Let r = o - -33. Solve 5 = -2*z - r*z for z. -1 Let t be 102/30 - (2 - 24/15). Let i(l) = 3*l + 2*l - 5 - t*l**2 - 2*l**2 + l**2 + 2*l**3. Let g be i(2). Solve -4 = -g*x + x for x. 1 Let w(j) = -j**3 + 28*j**2 + 161*j + 132. Let x be w(33). Solve x = 6*r - 8 - 10 for r. 3 Suppose 4*q - 12*v + 37 - 121 = 0, -4*v - 28 = 0. Solve q = -32*r - 234 + 10 for r. -7 Let f be -4 + 272/80 + (-116)/(-10). Solve f*h - 21 = -10 for h. 1 Let m(j) = -3*j + 25 + 16 + 7 + 4*j. Let h be m(-44). Solve 5*r - h = 1 for r. 1 Let b = -15 + -7. Let f be 14*(-24)/(-33) - (-4)/b. Suppose -f*z = -21*z + 33. Solve -l = z + 2 for l. -5 Let y be (222/259)/(3/70). Solve 0 = -2*j - y + 12 for j. -4 Suppose -3*l + 5*t = 7*t - 575, -7*t + 160 = l. Solve 25*n - l = -14*n for n. 5 Let y be ((-3)/6)/((-1)/6). Suppose -y*p + 11 = -13. Suppose 130 = -27*m + 454. Solve 4*t - p*t + m = 0 for t. 3 Let z(o) = o**2 - 58*o - 583. Let r be z(67). Solve 17*h - r = 27*h for h. -2 Suppose 298*j + 89*j = 154413. Solve -c + 58*c = -j for c. -7 Let b(d) = 4*d - 1. Let h be b(3). Let l(r) = -2*r**3 - 4*r**2 - 8*r - 6. Let a be l(-2). Solve 16*g - h*g = -a for g. -2 Let k = 1470 - 1442. Solve -k*r + 34*r = 6 for r. 1 Suppose 0 = -28*j + 24 + 21 + 39. Solve 0 = -11*t + 14 - j for t. 1 Let n be ((-39)/2)/(4/((-96)/(-18))). Let h = 23 + n. Let j be (6/h - -8) + -2. Solve 0 = -7*d + j*d + 12 for d. 4 Let n = -143 + 445. Let s = -299 + n. Suppose 3*z - 10 = -4. Solve -s - z = 5*o for o. -1 Suppose 3*q - 2849 = d, 3*q + 311*d - 316*d = 2869. Solve -898 + q = 10*g for g. 5 Let y be (28/8)/(4/(-24)*-3). Solve 4*r = y*r - 12 for r. 4 Let x(u) = -4*u + 13. Let l(k) = -10*k + 38. Let h(r) = 5*l(r) - 14*x(r). Let q be h(3). Solve -2*t = -34 + q for t. 4 Suppose -5*j + 97 + 193 = 0. Suppose 53*g - j*g = -30. Let b(v) = 7*v. Let m be b(1). Solve 4 = g*y - m*y for y. -4 Let s(z) = 2*z**2 - 4*z - 1. Let d be s(3). Suppose -2*b = 4*w - 22, -d*w = 5*b - b - 44. Let m = -49 + 54. Solve 9 + b = -m*a for a. -4 Let b(x) = -2*x. Let u be b(0). Let w(p) = p**2 - 2. Let n be w(2). Let g = 2 + n. Solve -2*f + u*f = g for f. -2 Let y(w) = -w**2 + 96*w - 1084. Let s be y(14). Solve s*d = 53*d + 33 for d. 3 Suppose 8016 + 5424 = 160*r. Solve r = -14*t - 0 for t. -6 Let j = 74 - 70. Let o = -33 - -48. Suppose b + o = j*b. Solve 3*w + b = -2*w for w. -1 Suppose -v + 37 = -3*x + x, 5*x - 20 = 0. Let y = 57 - v. Suppose -175*w = -178*w + y. Solve w*q = 6 - 2 for q. 1 Let n be 4/(((-4)/9)/2). Let w be (104/(-6))/(n/27). Suppose 0*f + w = 2*f + 5*c, 3*f - 5*c = 14. Solve 7*a - f = 9*a for a. -4 Let u be 1/(261/(-938) - 30/(-105)). Solve 0 = -u*s + 118*s + 144 for s. 9 Let c(q) = -q**2 - 7*q - 9. Let a be c(-5). Suppose 4*p - h = 35, 2*p + 2*h - a = 9. Suppose -p*b - 9*b = -0*b. Solve 1 + b = -t for t. -1 Let x(t) = 536*t + 3788. Let g be x(-7). Solve 0 = 13*p - 4*p + g for p. -4 Suppose 323*y - 289*y - 1564 = 0. Solve 2*t + y = 36 for t. -5 Let v(z) = -z**3 + z - 2. Let c be v(-2). Let t = 2599 + -2595. Suppose -t*n + 26 = 2*w, c*n = -w - 4*w + 35. Solve l + 2 = w*l for l. 1 Let f be (1512/(-280))/(9/(-15)). Solve -f*p + 12 = -6*p for p. 4 Let j(y) = -9*y - 168. Let a be (-3 + 1)/((-10)/(-95)). Let q be j(a). Solve q*c + 5 - 20 = 0 for c. 5 Suppose -4*a + a = 3, 3*n + 65 = -2*a. Let c be 7/(n/12) + 2 + 2. Solve c = 5*i + 3 + 2 for i. -1 Let c = -19 + 23. Suppose d - 3*d + c = 0. Suppose 5*u - 2 = d*i, 0*i = 5*u + 4*i + 4. Solve 0 = -2*f + 4 - u for f. 2 Suppose -15*c + 18*c = -15. Let w be (c/(-2))/(40/32). Let a = -5 - -9. Solve -a*q - 6 = -w for q. -1 Suppose 7 - 25 = -2*m. Suppose -d = m*d - 30. Solve -16 = -d*y - y for y. 4 Let k be ((-310)/(-50) + -5)*30. Solve 0 = k*i + 74 - 2 for i. -2 Let b(q) = q**2 - 11*q - 3566. Let o be b(-55). Solve 12*p + o = 4*p for p. -8 Suppose 321*c = 313*c + 48. Solve 0 = c*u - 12 - 30 for u. 7 Let a(k) = k**3 + 3*k**2 - 4*k - 2. Let r be a(-3). Let z be (105/7 - 8)/(-1 - -2). Suppose -20 = -z*v - 20. Solve v = 5*w - 0*w - r for w. 2 Suppose 29408 = 6*n + 29342. Solve n*c - 6 = 5 for c. 1 Suppose 25*y = 1123 + 3102 + 75. Solve -41*h - y = 2*h for h. -4 Let t be 45/(-5) - -7 - -4. Suppose 9 - 44 = -t*j + 5*i, -j - 5*i - 20 = 0. Solve j*p = 13 + 7 for p. 4 Let b(z) = -1012*z**2 + 6*z - 4*z - 4 + 1013*z**2. Let m be b(-4). Let n(j) = -j - 2. Let a be n(-4). Solve -m*f - 6 = -a*f for f. -3 Suppose -5*l + 95 = -108*n + 111*n, 3 = 3*l. Solve -23*d - n = -13*d for d. -3 Suppose -o = -5*s - 3*o + 13, -5*o = -20. Let d = 322 + -246. Suppose -j - 73 = -d. Solve s = j*z - 5 for z. 2 Let h(n) = -15 + 34 + 7 + 11*n + 17*n**2 - 7. Let r be h(-2). Solve r*m = 62*m + 12 for m. 4 Let s(z) = -7*z - 35. Let g be s(-5). Suppose 0 = n - w + 5, 2*w = 5*n - 2*w + 24. Let u be (-1)/((-44)/(-12) + n). Solve g*b - u*b = 3 for b. -1 Let i(d) = -15*d + 43. Let g be i(3). Let v be (g - 1)*(-7)/21. Solve 5*z - v - 24 = 0 for z. 5 Let q be ((-264)/45 + 2/(-15))/(-2). Let w(b) = 2*b**3 - 3*b**2 + 6*b - 5. Let g be w(3). Let a = 44 - g. Solve -a*p + 17 = -q for p. 5 Suppose 6*t = -3*t - 198. Let r = t + 20. Let h be (r + 1)/(1/(-2)). Solve -6*x + 16 = -h*x for x. 4 Let s(r) = -4*r - 2. Let w be s(-3). Suppose -j + w = -2*i - 0, 0 = i + 5. Solve 0 = -2*z - j*z - 8 for z. -4 Let x = -483 - -532. Suppose -2*c = -57 + x. Solve 3*o - 19 + c = 0 for o. 5 Suppose 7*a - 8*a + k - 3 = 0, -k = 5*a - 9. Let m be (-54 + 54)/(4 - a). Solve 4*r - 3*r + 5 = m for r. -5 Suppose -p + 4*s + 70 = 0, -22*p - 5*s - 346 = -26*p. Solve -64 = -10*w - p for w. -3 Let h(u) = -13*u + 407. Let m be h(18). Solve 176*b = m*b - 9 for b. -3 Let s be 7/3 + (-210)/(-45) - 2. Solve -27*n + 96 = s*n for n. 3 Let v be (((-64)/12)/4)/((-16)/60) - -9. Solve 23 = 3*o + v for o. 3 Let c be 70/(-15)*5/((-15)/9). Suppose x + 3*f = 7 + c, -2*x - 4*f + 36 = 0. Solve -8*p + 5*p - x = 0 for p. -4 Suppose 5*j - 39*o + 42*o - 116 = 0, -3*o = 2*j - 50. Solve -j = -105*q + 116*q for q. -2 Suppose -2*o + 4*a = 316, -3*o = -0*o - 5*a + 470. Let i = -148 - o. Solve 3 = -i*w - 7 for w. -5 Let b(s) = -s**3 + 24*s**2 + 6*s - 30. Let z be b(24). Let x be ((-120)/(-14))/(z/532). Solve -12*f = -2*f - x for f. 4 Suppose -2*f = 3*g + 34, -f - 6 = g + 9. Let q(l) = l**2 + 12*l + 1. Let z be q(f). Let d be (-16)/z + (-2)/(-5). Solve d + 3 = -v for v. -5 Let r(b) = 2*b**3 - 3*b - 115 - 2*b - b**3 + 4*b**2 + 117. Let a be r(-5). Suppose 34 = 8*l + 2*t, 28 = l - 18*t + 23*t. Solve -l*c = a*c for c. 0 Let x be -9 + (63 - 66)/((-2)/1738). Solve x*a - 9 = 2607*a for a. -1 Let s = -117 + 117. Let p = 154 + -154. Solve s*g - g - 5 = p for g. -5 Suppose -12*n + 7*n + 60 = 0. Suppose 14*x - n*x = 0. Suppose x = -5*c + 75. Solve -c = -5*q + 5 for q. 4 Let f be ((-16)/3)/(-4)*72/32. Let x be (9/f - 3)*2/6. Solve x*c = -5*c - 25 for c. -5 Let m(r) = -r**2 - 13*r - 13. Let k(v) = 6*v - 100. Let o be k(16). Let g be m(o). Solve -9*n - g = -5 for n. -2 Let y(w) = 15*w - 48. Let o(n) = -5*n + 16. Let q(s) = -8*o(s) - 3*y(s). Let i be q(-5). Let g = i + -29. Solve -4*h - g = -4 for h. -2 Let p = 73 - 71. Suppose -11 = 6*b - 4*b - 5*u, 0 = b - p*u + 4. Suppose 0 = -o - 1, -b*m + 5*o + 10 + 5 = 0. Solve m*z - 2 = 3*z for z. 1 Suppose -3*s - 1888 = -m - 7*s, 3*s - 6 = 0. Solve m*t = 1874*t + 18 for t. 3 Suppose -7 = 4*s + 5. Let g be ((-40)/15 - s)*12. Let n(b) = b - 4. Let y be n(g). Solve y = -j - 4*j + 15 for j. 3 Let v be (8/12)/1*18. Suppose 8*w - 44 = v. Solve -4*n - 1 - w = 0 for n. -2 Let p = 323 - 195. Let n = 131 - p. Let j(c) = c**3 - 10*c**2 - 10*c - 3. Let z be j(11). Solve -z = -n*l + 7 for l. 5 Suppose 35*c - 352 = 1643. Solve 0 = -2*i + c - 59 for i. -1 Let c be ((-120)/42 + 2)*(-112)/6. Solve -10*x = 6*x + c for x. -1 Suppose 0 = -14*y + 109*y. Solve y = 11*r + 3 + 30 for r. -3 Suppose 55*u - 63 = 48*u. Suppose n - 39 = u*w - 13*w, 3*w = 2*n + 21. Solve -w*o = -5*o - 12 for o. 3 Let s(z) be the second derivative of -12*z - 5/6*z**3 - 1/2*z**2 + 0. Let m be s(-1). Solve -m = -c + 5*c for c. -1 Let w = 159 - 142. Suppose -p = -w + 6. Solve -p - 9 = -5*l for l. 4 Suppose -2*f + 127 = v, -20*f - 130 = -22*f - 2*v. Solve f*m - 70 = 48*m for m. 5 Let q(
{ "pile_set_name": "DM Mathematics" }
- 2*n**3 - 2*n**4 - 5*n**2 + 6*n**2 to the form h + p*n + g*n**2 + m*n**3 + s*n**4 and give p. 2 Rearrange -154*i**4 + 2*i**2 + i**3 + 156*i**4 + 4 + 0*i**3 to the form r*i**2 + w + q*i + h*i**4 + u*i**3 and give r. 2 Express (1 - 1 - 2*z)*(2 + 1 - 2)*(5 - 4 - 2) - z - 3*z + z in the form n + i*z and give i. -1 Express 73*p - 73*p + 10*p**2 + (2*p + 0*p + 0*p)*(13*p - 17*p + 6*p) + 2*p**2 + 3*p**2 - 7*p**2 - 3*p**2 - 3*p**2 + 7*p**2 as h + g*p**2 + y*p and give g. 13 Express (6 - 4 + 3)*(3*f - 3*f + 2*f) + (2*f - 13*f + 2*f)*(1 + 1 - 4) in the form c + m*f and give m. 28 Express (0*r + 7*r - 3*r)*(11*r - 5*r + 8*r) as s*r**2 + b + g*r and give s. 56 Express (-2*g + 4*g + 2*g + (3*g + 2*g - 3*g)*(5 - 1 - 5) - 3*g + 2*g + 4*g)*((1 + 0 - 3)*(-3 - 3 + 4) + 1 + 1 - 3)*(-3 + 5 - 1) in the form p + o*g and give p. 0 Rearrange i - 8*i - 11*i to s + g*i and give s. 0 Rearrange -4*k - 10 + 10 + 8*k to r + w*k and give w. 4 Rearrange (-3*h + 3*h - 2*h)*(35 + 51 - 29) to r + z*h and give z. -114 Rearrange (-4*f**2 + 2*f**2 + 4*f**2)*(-2 + 2 + 1) + 5 - 5 + 17*f**2 to y + s*f + g*f**2 and give g. 19 Express (2 - 32 + 0)*(2*b - 6*b + b) in the form p*b + f and give p. 90 Express 0*j**2 + 2 + j**3 + 3*j - 2*j**2 - 2*j**3 - 2*j as a*j**3 + q*j + i + v*j**2 and give v. -2 Rearrange 12*a - 2082*a**3 - 2*a + 2076*a**3 to s + f*a**2 + c*a**3 + j*a and give c. -6 Express 4*g**4 - 2*g**2 - 1 + 9*g - 2*g**3 - 10*g + 0*g**2 in the form h + p*g**4 + q*g**3 + f*g**2 + u*g and give f. -2 Express -2*q**2 + 1 + 4*q - 3 + 4*q**2 + 0*q**2 as s*q**2 + v*q + o and give v. 4 Rearrange 55*h - h**3 + h**3 + h**3 + 4 + 4*h**4 - 54*h to the form f*h**4 + y*h + j + w*h**2 + m*h**3 and give y. 1 Rearrange -m - 9*m - 2*m**2 + 5*m**2 to the form v*m**2 + u + i*m and give i. -10 Express ((-3*h - h + 2*h)*(4 - 1 - 1) + 0*h + 2*h - 4*h)*(-27 + 18 + 27)*(0 - 1 + 3)*(0 - 1 - 1) as q*h + u and give q. 432 Express (-2 + 7 - 3)*(-2*q - 2 + 2*q - q)*(44*q - 26*q - 24*q) in the form j + a*q + m*q**2 and give m. 12 Express -u**4 - 2*u - u**3 - u**3 + 0*u + 3*u + 2*u**2 in the form a*u + i + j*u**2 + g*u**3 + l*u**4 and give j. 2 Rearrange 0*n**2 + 23*n**3 - 24*n**3 - 4*n**2 to the form z*n**2 + q*n**3 + w*n + b and give w. 0 Express -1 - 3*j + j - 15*j in the form v + i*j and give i. -17 Express -61 + 9*v**2 + 61 in the form n*v**2 + s + f*v and give n. 9 Rearrange -4*n + 5*n + 1 - 2*n + 4*n to the form j*n + p and give p. 1 Rearrange (9*j - 28*j - 22*j)*(0*j**3 - 2*j**3 + j**3) to z*j + s + r*j**4 + n*j**3 + u*j**2 and give n. 0 Rearrange (-105 + 37*i + 105)*(-3 - 4 + 5) to f + m*i and give m. -74 Express (-5 + 4 - 1)*(-1 + 1 + m) + (2361 + 11*m - 2361)*(1 - 1 + 2) as n*m + j and give n. 20 Rearrange 3 - 1 - 14*j - 3 + 2 to s*j + q and give q. 1 Express -2*m**2 - 86 + 43 - m + 41 + m**3 + 3*m**4 in the form y + s*m**4 + v*m**2 + n*m**3 + c*m and give y. -2 Express -3*x - 4 - x - 81*x**3 + 79*x**3 + (-6*x**3 + 5*x**3 + 3*x**3)*(-5 - 3 + 5) as p*x**2 + r + m*x**3 + l*x and give m. -8 Express 2*f - 3*f + 3*f + (-1 + 2 - 3)*(-4*f + 2*f + 4*f) - 351 + 351 + 19*f - 3*f + 2*f + 2*f + (-1 + 1 - 1)*(-3*f - f + 2*f) in the form v*f + l and give v. 20 Rearrange -3*g + 2*g**2 - g**3 - 6*g**3 + 10*g**3 to the form r*g**3 + h*g + q*g**2 + j and give r. 3 Express (-2*z - 4*z + 5*z)*(2*z - 2*z + z) + 214 + 0*z**2 - 214 - 159*z**2 as n*z**2 + h + d*z and give n. -160 Rearrange 3*i**4 + 3*i - 7*i - 15*i**4 - 1 + 10*i**4 to the form q*i**2 + r + s*i + m*i**4 + c*i**3 and give c. 0 Rearrange (2 - r - 2)*(3 - 3 - 6) to the form i + b*r and give b. 6 Rearrange -5*l**3 - 2*l + 33 - 33 - 2*l to k*l**3 + d*l + o*l**2 + p and give k. -5 Express 9*x + 10*x - 2*x**2 - 2*x + (-2*x + 2*x - x)*(3*x - 4*x + 3*x) in the form y*x + o + s*x**2 and give s. -4 Rearrange -3*r - 7 + 4*r + r to f + l*r and give l. 2 Rearrange l**2 - 4*l**2 - 3*l**2 + (2*l + 0*l + l)*(-3*l - 3*l + 5*l) to the form w + c*l + a*l**2 and give a. -9 Express 4*c**2 - c**2 - c**2 - 14 + 3 in the form l*c + f*c**2 + x and give x. -11 Rearrange (-3 + 2 + 0)*((3 + 1 - 2)*(-3*c + 3*c - c) - 2*c + 3*c + 0*c) to x*c + j and give x. 1 Express -2*z**4 - 3*z + 4*z**4 + 3 + z - 2 - 5*z**2 in the form q + b*z**4 + d*z + r*z**3 + m*z**2 and give m. -5 Rearrange -41*q**2 - 29*q**2 + q**2 + 0*q**2 to the form y*q**2 + i + z*q and give z. 0 Rearrange -6*z + 237 - 237 to the form m + o*z and give m. 0 Rearrange -1 - 6*z**2 - 176*z**3 + 3*z**2 + 175*z**3 + (-1 - 3 + 2)*(0*z**3 + 2*z**3 - 5*z**3) to m*z**3 + d*z**2 + a + v*z and give a. -1 Express -6*s**4 + s**4 - 2*s**4 + (-1 + 1 + s)*(-2*s**3 + 7*s**3 - 2*s**3) in the form h*s**2 + d*s**4 + w*s + c + q*s**3 and give c. 0 Express -f**4 + f**3 - 3*f - 249*f**2 + 2*f - 1 + 248*f**2 as d*f + l*f**4 + i*f**2 + y*f**3 + t and give d. -1 Express (-2*p + 3*p + 0*p)*(0*p**3 + 2*p**3 - 4*p**3) + (-p + 6*p - 2*p)*(3*p**3 - 5*p**3 + 0*p**3) in the form s*p**2 + g*p**3 + n*p**4 + x*p + d and give d. 0 Express 10*h**2 + 8 - 2*h**2 - 7*h**2 as q + f*h**2 + s*h and give f. 1 Express -1 - 7*m + 1 - 23*m in the form g*m + u and give u. 0 Express 17*l - 86 + 86 as t + u*l and give u. 17 Rearrange (-2*z**3 - z**3 + 0*z**3)*(-3 + 1 + 5)*(1 + 2 - 2) to the form y*z + m*z**2 + n*z**3 + o and give y. 0 Rearrange 0*z**2 + 3 + 2*z**2 - 3 + 6 to f*z + g*z**2 + w and give w. 6 Rearrange (0 - 3*g + 0)*(3*g**3 + 25 - g**2 - 25) to s*g**4 + h*g + m*g**3 + w*g**2 + v and give s. -9 Express 2*x - 3*x**3 - x - x**3 - 6*x as j*x**2 + q + i*x + o*x**3 and give o. -4 Rearrange d**4 + 0*d**4 + 35 - 2*d**2 + 3*d - 2*d**3 - 2*d - 26 to the form r*d + z*d**2 + f*d**4 + l + v*d**3 and give l. 9 Rearrange (-128*s + 103*s**2 + 128*s)*(-1 - 2 + 2)*(4 - 1 - 1) to the form g*s**2 + y*s + q and give g. -206 Express -4*o - 13*o**2 + 8*o - 2*o as s*o + j*o**2 + x and give j. -13 Rearrange -6*v**2 + 3 + 0 + 0 to m*v + i*v**2 + d and give d. 3 Express (9 - 5 + 1)*(-1 + 1 - 3*x) - 5*x + 3*x - 2 + 4*x in the form k*x + a and give k. -13 Rearrange (9*o + 3*o + 0*o)*(-10*o**2 + 2*o**2 + 4*o**2) to the form j*o**3 + y*o**2 + h*o + r and give j. -48 Rearrange h - h**2 - 7*h + 10*h**3 + 5*h - 4*h to f + j*h**3 + n*h**2 + p*h and give f. 0 Express 7*j**3 + 0*j**3 - j**3 + (0 + 0 + j)*(-j**2 + 5*j**2 - 3*j**2) - 2*j**3 + 4 - 4 - j**3 + 2*j - 2*j as v*j + f + x*j**2 + b*j**3 and give b. 4 Rearrange -32*v - 26*v + 14*v - 2 to a + f*v and give a. -2 Express (1 + 3 - 2)*(5*h + 0*h - 4*h) + (18 - 18 - 7*h)*(-4 + 4 - 3) in the form d*h + u and give d. 23 Express 8*a + 2*a + 6*a - 22*a as i + m*a and give m. -6 Rearrange 5*c - 9*c + 9*c**2 + 4*c to x*c + t*c**2 + w and give t. 9 Rearrange -46*u - 4 + 21*u - 34 + 26*u to q + s*u and give q. -38 Express (9*q**2 - q + q)*(7 - 4 - 1) + 3*q**2 - 2 + 2 as a*q + t*q**2 + n and give t. 21 Rearrange 2*s**2 - s**2 + 3*s**4 - 2*s**2 - 2 to the form d*s**2 + p*s**3 + m*s + f*s**4 + y and give d. -1 Rearrange 5*p - 5*p + 8*p**2 + (-1 - 2 + 5)*(-4*p + 4*p - 2*p**2) + 1 + 0*p + 0*p - p**2 - 4*p**2 + 2*p**2 + 4*p**2 to the form x*p + i*p**2 + z and give z. 1 Express (-3 + 3 + d)*(-2*d + d - 3*d)*(d**2 + d**2 + 0*d**2) in the form h*d**3 + v + m*d + c*d**2 + u*d**4 and give u. -8 Rearrange 3 - 5 + 777*c**4 - 775*c**4 + c + c**2 - c**3 to q*c**2 + u + j*c + z*c**3 + f*c**4 and give z. -1 Rearrange -2*y + 11*y**2 + 2*y - 6*y**2 to the form f + q*y**2 + b*y and give b. 0 Express (13 - 47 + 26 - 2*d)*(-1 + 1 + d**2)*(-2 + 1 + 3)*(5 - 3 - 1) as f + j*d**2 + v*d + b*d**3 and give b. -4 Rearrange (4*v + v - 3*v)*(0 + 28 - 19*v + 23*v) to the form w + f*v + k*v**2 and give k. 8 Rearrange 4 + 2*q**2 - 16 - 2*q**3 - 4*q + 12 to the form w*q**3 + k*q + t*q**2 + l and give k. -4 Express 13*z**3 - 7*z**3 + z**2 + 6*z**3 in the form j*z**3 + q*z + b + h*z**2 and give j. 12 Rearrange (2*j**2 - 4*j**2 - 2*j**2)*(-3*j - 2*j**2 - j + 4*j**2) to m*j + k*j**4 + q*j**2 + p*j**3 + d and give p. 16 Rearrange -6*m + 21 + 14*m - 8*m - m**2 + 2*m**3 to g*m**3 + r*m**2 + k*m + i and give i. 21 Express -17 + 37 - 19 - 66*p**2 in the form u*p**2 + l*p + s and give s. 1 Express (-3 + 3 + q**2)*(q - q + 2*q)*(-4*q + 13*q + 3 + 1) as l + j*q**4 + s*q + t*q**3 + x*q**2 and give t. 8 Express 2 + 8 + 8*q + 4 - 11 as m + g*q and give g. 8 Express (-2 + 0 + 4)*(-3*w**3 - 2*w**3 + 4*w**3)
{ "pile_set_name": "DM Mathematics" }
- 76*i*x**3 + 13*i*x**2 - x**3 - 5*x**2 wrt i. -312*i**2*x + 724*x**3 Find the second derivative of 39*h**4 + 9*h**3 - 11*h**2 - 47024*h. 468*h**2 + 54*h - 22 Differentiate 160*d*l**2 - 5503*d*l + 715257*d wrt l. 320*d*l - 5503*d What is the third derivative of -889516*w**3 + 96*w**2 - 4652? -5337096 Differentiate 2*c**4*g**2 - 860193*c**2*g**2 + 2410123*g**2 wrt c. 8*c**3*g**2 - 1720386*c*g**2 What is the first derivative of 153662*v**3 + 141901 wrt v? 460986*v**2 Find the second derivative of 19862*z**5 - 41848*z. 397240*z**3 What is the second derivative of 56*n**3*v**2 - 172*n**2*v**2 + 33*n*v**2 + 104*n + 2*v**2 - 1 wrt n? 336*n*v**2 - 344*v**2 What is the second derivative of 15983*n**2 - 67765*n? 31966 Find the second derivative of -117825*l**4 + 54070*l wrt l. -1413900*l**2 What is the third derivative of 774955*f**3 - 313304*f**2 wrt f? 4649730 Find the second derivative of -106108*r**2 - 101*r - 537. -212216 Differentiate -1973*t**4 + 6*t*z**2 - 3*z**2 + 425*z - 19 with respect to t. -7892*t**3 + 6*z**2 What is the third derivative of 42*h**2*y**3 - 9*h**2 - 870*h*y**6 - 5693*y**2 wrt y? 252*h**2 - 104400*h*y**3 Find the second derivative of 1767*o**3 - 9*o**2 + 73270*o wrt o. 10602*o - 18 Find the third derivative of 67*h*m**4 - 1855*h*m**3 - 2*h*m**2 - 147*h*m + 2*h + 2*m**3 - 1860*m + 3 wrt m. 1608*h*m - 11130*h + 12 What is the third derivative of 88239*b**3*h**2 + 3*b**2*h**2 + 20*b**2 + 210*b wrt b? 529434*h**2 What is the derivative of u**4 - 2212*u**2 - 3*u + 3618 wrt u? 4*u**3 - 4424*u - 3 What is the second derivative of 2034604*h**2 - 395*h + 717? 4069208 Find the third derivative of j*n**4 + 633*j*n**3 + 2*j*n**2 + 18*j*n - 10*n**3 + 3*n**2 + 2 wrt n. 24*j*n + 3798*j - 60 Find the first derivative of 30*i**2*w**2 + 1187202*i**2 + i*w**2 - 67*w**2 wrt w. 60*i**2*w + 2*i*w - 134*w What is the second derivative of -133129*i**3 + 18*i - 3424 wrt i? -798774*i Find the third derivative of -227*o**5 - o**4*x - 8*o**3 - 2*o**2 - 6*o*x - 78*o + 1 wrt o. -13620*o**2 - 24*o*x - 48 Find the second derivative of 64678*f**5 - 78*f + 173 wrt f. 1293560*f**3 Find the second derivative of 57890*d**2 - 36270*d wrt d. 115780 Find the second derivative of 10*v**5 - 3659*v**4 - 403190*v. 200*v**3 - 43908*v**2 Differentiate -34926*f*o**2 + 11956*o**2 + 3 wrt f. -34926*o**2 What is the first derivative of v**2 + 17650*v - 1651362 wrt v? 2*v + 17650 Find the third derivative of -84*l**2*x**3 + 19*l**2*x**2 - 7*l*x**2 - 20*l*x + 51*x**4 wrt x. -504*l**2 + 1224*x What is the derivative of -1128248*d + 4412102 wrt d? -1128248 Find the second derivative of -56709*j**2 - 67567*j. -113418 What is the second derivative of -37612*k**2*q**3 + 4*k*q**3 + k*q**2 + 82*q**2 + 1 wrt k? -75224*q**3 Find the third derivative of 3311742*c**3 + 1259691*c**2. 19870452 Find the second derivative of 174205*l**2*y**2 - 11*l**2*y + 2*l*y**3 - 512*l*y wrt y. 348410*l**2 + 12*l*y What is the derivative of 276135*c*o + 210830*o - 1 wrt c? 276135*o Differentiate -10*u*w - 2592547*u - 3*w**2 + 6937*w wrt w. -10*u - 6*w + 6937 Find the second derivative of 396574*i**3 - 3530*i. 2379444*i Differentiate -3*d**2*v**3 - 46404*d**2 - 6196*d*v**4 + 2*d wrt v. -9*d**2*v**2 - 24784*d*v**3 Differentiate 20*u**3 + 31698*u + 266751 wrt u. 60*u**2 + 31698 What is the second derivative of 3*x**4 - x**3 - 15660*x**2 - 265779*x wrt x? 36*x**2 - 6*x - 31320 What is the second derivative of c**5*k + 79918*c**4*k - 7*c**2 - 2669*c*k - 9*c + 2 wrt c? 20*c**3*k + 959016*c**2*k - 14 Find the third derivative of -6*i**6 - 347*i**4 + 2*i**3 + 11*i**2 - 10*i + 44 wrt i. -720*i**3 - 8328*i + 12 What is the second derivative of 41821*c**3*v**2 + 401*c**3 + 101*c**2 + 9*c*v**4 - 3*c*v wrt v? 83642*c**3 + 108*c*v**2 Find the third derivative of 16*j**4 - 132919*j**3 - 4*j**2 + 12327*j - 10 wrt j. 384*j - 797514 Find the second derivative of q*x**5 - q*x**2 - q*x - 22900*x**2 + 58350*x wrt x. 20*q*x**3 - 2*q - 45800 Find the second derivative of -84*n**3*u**2 + 144*n**3*u - 476*n*u**2 + 7*n*u + u**2 + 3*u wrt u. -168*n**3 - 952*n + 2 What is the derivative of 51448*u + 73130? 51448 What is the third derivative of -14*l**5*n - 244*l**4*n**2 - l**2*n**2 - 4*l**2*n - 2375*l*n wrt l? -840*l**2*n - 5856*l*n**2 Find the third derivative of -202*i**4*o**2 - 964*i**3*o**2 - 2*i**2*o + i*o**2 + 1292*i - 55 wrt i. -4848*i*o**2 - 5784*o**2 What is the third derivative of 2*n*p*w**3 + 1849*n*p*w**2 + 2*n*p*w + 103*n*w**3 + n*w + 54*p*w**3 - p*w + 2*w**3 + 33 wrt w? 12*n*p + 618*n + 324*p + 12 Find the first derivative of -87655*f**4 - 3*f - 1002615 wrt f. -350620*f**3 - 3 What is the derivative of -2*a**2 + a*g*p**2 - 4388*a*p**3 - 4*g*p**3 - 11768*p**2 wrt a? -4*a + g*p**2 - 4388*p**3 What is the third derivative of 152919*a**3 + 1588*a**2 - 4*a + 13? 917514 Find the second derivative of 83040*o**2 - 17377*o + 1. 166080 What is the second derivative of 127*k**4 - 20*k**3 - 2*k**2 - 2*k + 6259 wrt k? 1524*k**2 - 120*k - 4 Find the second derivative of 605848*f**3 + f + 5032 wrt f. 3635088*f Find the second derivative of 61178*l**2 + 192*l - 53. 122356 Find the first derivative of 23*d**4*j + d**4 + 123*d**3 + 4363*j - 2 wrt d. 92*d**3*j + 4*d**3 + 369*d**2 Find the third derivative of 353*f**2*m**3 + 10033*f**2*m + 40*f**2 - 2*f*m**2 + 20*m**3 - 2*m**2 wrt m. 2118*f**2 + 120 Differentiate 14182*o - 67127 wrt o. 14182 What is the third derivative of 2014*g**3*k**2*w**3 - 18*g**3*k**2*w**2 + 2*g**3 - g**2*k**3*w + g*k**3 - 14*g*k**2*w**2 + 6*k**3*w**3 wrt w? 12084*g**3*k**2 + 36*k**3 Find the second derivative of -49269*a**3 + 5*a - 2448. -295614*a What is the third derivative of 18*f**3*s**2 + 579*f**3 - f**2*s**2 - 17*f**2*s - 538*f*s**2 + f wrt f? 108*s**2 + 3474 Find the first derivative of 352926*w**2 + 81613. 705852*w What is the second derivative of -12472*x**4 + 6*x**2 + 232412*x? -149664*x**2 + 12 Find the third derivative of -13629*w**6 - 42859*w**2 wrt w. -1635480*w**3 What is the derivative of 167*f**3 + 87*f**2*g**3 - 5*g**3 - 2*g - 6692 wrt f? 501*f**2 + 174*f*g**3 What is the third derivative of 183*h**6*w - 180*h**3*w**3 + 76295*h**2*w**3 + h**2 wrt h? 21960*h**3*w - 1080*w**3 Find the second derivative of -7*a**4 - 1177*a**3 - 2*a**2 + 12*a + 100. -84*a**2 - 7062*a - 4 What is the second derivative of 52368*i**3 - 180*i - 376? 314208*i Differentiate -w**2 + 2445069*w + 831782 wrt w. -2*w + 2445069 Find the third derivative of 398642*w**3*x**4 + 3934*w**3*x**2 + 8*w*x**2 - x**5 wrt x. 9567408*w**3*x - 60*x**2 What is the derivative of -y**3 - 30022*y - 750854? -3*y**2 - 30022 What is the first derivative of -906364*o**4 + 971875? -3625456*o**3 Find the second derivative of -537*b*i*j + 52*b*j**2 - b*j - 9*b + i*j**2 - 2*i - 178*j**5 wrt j. 104*b + 2*i - 3560*j**3 Find the second derivative of -13575*i**2*j**5 - 3*i**2*j**2*w + 122*i**2*j*w - 2*i**2*j - i**2*w - 3*j*w wrt j. -271500*i**2*j**3 - 6*i**2*w What is the first derivative of -12001*x**2 - 3*x + 156822? -24002*x - 3 Find the second derivative of 1285289*v**2 + 64*v - 1230 wrt v. 2570578 What is the first derivative of -284906*t**4 + 108047 wrt t? -1139624*t**3 Differentiate 7756*z**3 - 2*z - 267708. 23268*z**2 - 2 What is the third derivative of 2*p**5 - 45*p**4 - 700*p**3 + 1087192*p**2? 120*p**2 - 1080*p - 4200 What is the third derivative of 5396*g**6 - 31149*g**2 wrt g? 647520*g**3 Find the first derivative of -28*h**4 - 3419*h + 680482 wrt h. -112*h**3 - 3419 Differentiate l**3 + 1793991*l + 1455214 with respect to l. 3*l**2 + 1793991 What is the first derivative of -764206*h**3*l*p - h**3*l - h**3*p**4 + 26*h**3 + 50*h**2*l + 58*h*l - 1 wrt p? -764206*h**3*l - 4*h**3*p**3 What is the second derivative of 102724*t**3 - 85765*t wrt t? 616344*t What is the third derivative of 7*k**3*o**2 - 5754*k**3*o + 192*k**2 + 67*o**2 wrt k? 42*o**2 - 34524*o What is the second derivative of -4098*w**2*y - 40*w**2 + 9*w*y + 2*w + 21960 wrt w? -8196*y - 80 Find the third derivative of 618319*q**3 - 3179707*q**2 wrt q. 3709914 Find the second derivative of -37611*d**2 - 759856*d. -75222 What is the third derivative of -34692*n**4 - 7*n**2 - 138*n wrt n? -832608*n Differentiate -c**4*d**2 - 81671*c**4 - 20770*d**2 - 1 wrt c. -4*c**3*d**2 - 326684*c*
{ "pile_set_name": "DM Mathematics" }
- 5*r**2*y + 8*r**2 - 2*r*y**3 - 4037*r*y**2 - 70*r wrt y. 12*r**3*y - 12*r*y - 8074*r Find the third derivative of 806755*l**3 - 674571*l**2 wrt l. 4840530 What is the second derivative of 227282*f**4 - 544954*f? 2727384*f**2 What is the second derivative of 32150*v**5 + 28915*v wrt v? 643000*v**3 Find the third derivative of 4297639*r*y**6 + 1945*r*y**2 - y**2 - 1 wrt y. 515716680*r*y**3 What is the first derivative of i**4 + 1303*i**3 + i**2 - 194126 wrt i? 4*i**3 + 3909*i**2 + 2*i Differentiate -38380*b**4 - 21267. -153520*b**3 Differentiate s**3 + 2*s**2 - 23583*s + 29577. 3*s**2 + 4*s - 23583 Find the first derivative of f*i**3 - 181957*f*i**2 - 3*f*i + f + 5013876*i**3 wrt f. i**3 - 181957*i**2 - 3*i + 1 What is the third derivative of -1072408*k**3 + 4542*k**2 + 3*k + 1 wrt k? -6434448 Differentiate 2*v**3 + 26*v**2 + 123*v + 127976 wrt v. 6*v**2 + 52*v + 123 What is the second derivative of -d*m*o**3 + 321*d*m*o**2 - d*m - 7*d*o**3 - m*o + 61*m - 64*o wrt o? -6*d*m*o + 642*d*m - 42*d*o Find the third derivative of -27879*w**3 - 41813*w**2. -167274 Find the first derivative of k**3*n + 20*k**3 + 34*k**2*n - 2*k + 49*n + 15 wrt n. k**3 + 34*k**2 + 49 What is the second derivative of -147870*c**5 + 146678*c? -2957400*c**3 Find the second derivative of 3081548*g*r**2 + 113*g*r + 2*r + 472 wrt r. 6163096*g Find the third derivative of -80175*x**5 - 97755*x**2. -4810500*x**2 What is the third derivative of -11*x**6 + 1146*x**3 + 187768*x**2 wrt x? -1320*x**3 + 6876 Differentiate 110*b**2*d**2*j*p - b**2*d**2*j + 423*b**2*d*j + 18*b*d*j - 66*d*j*p + 2*d wrt p. 110*b**2*d**2*j - 66*d*j Find the second derivative of 38*q**4 - 18*q**3 + 28*q**2 + 177241*q. 456*q**2 - 108*q + 56 What is the third derivative of -105*a**2*b**3 - 2503*a**2 - 9*a*b**2 - a - 882*b**5 - 4*b**2 wrt b? -630*a**2 - 52920*b**2 Find the third derivative of 56048*z**3 - 61302*z**2 wrt z. 336288 Find the second derivative of -429168*f**3 - 2*f**2 + 814760*f. -2575008*f - 4 What is the first derivative of h*k - 913*h - 10040*k**4 + 2 wrt k? h - 40160*k**3 What is the derivative of -57470*j + 30034? -57470 What is the first derivative of -2*t**3 - 1432*t**2 + 6*t - 106235 wrt t? -6*t**2 - 2864*t + 6 What is the second derivative of -211036*b**2 - 262219*b? -422072 Find the third derivative of -73*f**5 + 380*f**4 - f**2 + f + 14974. -4380*f**2 + 9120*f Differentiate -19949*x + 75150 wrt x. -19949 What is the derivative of -224277*f*g*x - 4*f*g - 537*f + 10*g wrt x? -224277*f*g What is the third derivative of 274363*z**5 - 16*z**2 + 289*z + 3? 16461780*z**2 Find the third derivative of -99442*a**5*l**3 + 4*a**2*l + 25620*a*l**3 wrt a. -5966520*a**2*l**3 What is the second derivative of 45039*l**4 + 137*l + 173 wrt l? 540468*l**2 Find the third derivative of 140*n**6 + 103*n**4 - 3*n**2 + 106*n + 45. 16800*n**3 + 2472*n What is the third derivative of 57649*f**3 - 1302052*f**2 wrt f? 345894 Find the first derivative of 102222*a**2 + 71115. 204444*a What is the third derivative of 2120295*d**4 + 42*d**2 - 5898*d + 2 wrt d? 50887080*d Find the third derivative of 1444489*d*v**3 - 28788*d*v**2 + 20*v**2 wrt v. 8666934*d What is the second derivative of 281*t**3*y**2 - 11*t**2 - 85*t - 4*y**2 + 2*y wrt t? 1686*t*y**2 - 22 What is the derivative of -3*k*z**3 - 2*k*z + 854*k + 410438*z**3 wrt k? -3*z**3 - 2*z + 854 What is the second derivative of -3*y**3 - 204992*y**2 + 1889834*y? -18*y - 409984 Find the second derivative of -47804*i*x**3 + i*x - 1700*i wrt x. -286824*i*x Find the third derivative of 54151*m**3 + 2*m**2 - m - 272 wrt m. 324906 Find the third derivative of t**6 + 2*t**5 - 117453*t**3 - 23632*t**2 + 3. 120*t**3 + 120*t**2 - 704718 What is the second derivative of -125*i**3 - 404*i**2 - 35*i + 273? -750*i - 808 What is the third derivative of 471416*p**5 + 5*p**4 - 2*p**2 - 193*p + 796? 28284960*p**2 + 120*p What is the derivative of -196*r**2*u + r**2 + 87*r*u + 5248*u + 74 wrt r? -392*r*u + 2*r + 87*u Differentiate 78745*h**2*w - 84393*h**2 with respect to w. 78745*h**2 Differentiate -52*s*x**3 + 363*s*x**2 + x**3 - 11*x**2 + 510*x with respect to s. -52*x**3 + 363*x**2 What is the second derivative of -74854*h**4 + 67*h - 93 wrt h? -898248*h**2 What is the second derivative of 2395948*i**3 + 89575*i - 4 wrt i? 14375688*i What is the third derivative of -16*g**4*o**2*z - 65*g**4*z + 2*g**2*o**2 - 11*g**2*o + 733*g**2*z + 2 wrt g? -384*g*o**2*z - 1560*g*z Find the third derivative of 2918*z**6 - 179*z**5 - 745341*z**2. 350160*z**3 - 10740*z**2 What is the third derivative of 7300*o**4 + 19879*o**2? 175200*o What is the second derivative of 1464*c**3*l**2*z**2 + 462*c**3*l**2*z - c**3 - 187*c**2*l**2 - 162*l**2*z**2 wrt z? 2928*c**3*l**2 - 324*l**2 Find the third derivative of -3969750*o**4 - 1305231*o**2. -95274000*o What is the second derivative of -1716455*c*k**2 - 2*c*k + 2*c + 11*k - 2 wrt k? -3432910*c Find the first derivative of 19*b*c + 8024*b + 1170*c**2 wrt c. 19*b + 2340*c What is the first derivative of 7*g*n*s + 8*g*n + g + 35*n*s - 24*n + 343*s + 19 wrt n? 7*g*s + 8*g + 35*s - 24 Find the third derivative of -1190*q**6 + 21*q**4 - 151810*q**2. -142800*q**3 + 504*q Differentiate 16583*g**2 + 32759 with respect to g. 33166*g What is the second derivative of 8*f**2*k**2 + 523419*f**2*k + 7621*f*k**2 - 2*k**2 wrt k? 16*f**2 + 15242*f - 4 Find the second derivative of -565651*m**3 - 7*m**2 + 6780227*m. -3393906*m - 14 What is the second derivative of -8*g**3*j + 14325*g**3*l**2 + 13020*g**3*l - 2*g**2*j*l**2 - l wrt l? 28650*g**3 - 4*g**2*j What is the third derivative of -4*i**4*u + 7*i**3*r**3 + 248*i**3*r*u - 3879*i**2*r**3*u - 2*i**2*r**2 + 6*i*r*u wrt i? -96*i*u + 42*r**3 + 1488*r*u Find the third derivative of -277*a**3*m - 8*a**3 + 1389*a**2*m + a**2 + a*m - a wrt a. -1662*m - 48 What is the second derivative of -39942*b**2 - 104424*b wrt b? -79884 What is the second derivative of -152*v**3 + 152*v**2 - 23772*v? -912*v + 304 Find the second derivative of 3*i**3 - 12516*i**2 + 44688*i. 18*i - 25032 What is the derivative of 1204*c*d*q*s + 8*c*d*q + 7*c*d*s + 9*c - 4*d*q*s + 214*q wrt s? 1204*c*d*q + 7*c*d - 4*d*q Differentiate 1132247*x + 1410374 with respect to x. 1132247 Find the third derivative of q*u**4 + 3*q*u**3*v + 18*q*u**2*v - q*u**2 - 2*u**3*v - 2025*u**3 + 44*u**2*v - 2*v wrt u. 24*q*u + 18*q*v - 12*v - 12150 Find the first derivative of -3*p*r**3 - 1264*p*r**2 + 19*p - 411*r**3 + r**2 - 239*r wrt p. -3*r**3 - 1264*r**2 + 19 What is the derivative of 103480*k*z**3 - 4*z**3 + 7*z**2 + 1186 wrt k? 103480*z**3 Find the first derivative of c**4*u + 795207*c*u - 2994320*u wrt c. 4*c**3*u + 795207*u Differentiate 174432*w - 164530 with respect to w. 174432 What is the third derivative of 120*o**3*q**5 - 1346*o**3*q**4 + 2*o**3*q**2 + 66*o**3 - o**2*q**2 + 2*o**2*q - 34*o*q**2 wrt q? 7200*o**3*q**2 - 32304*o**3*q What is the third derivative of 67082*t**4 - 14*t**2 - 2*t - 155? 1609968*t Differentiate 1213120*z - 1018934 wrt z. 1213120 What is the second derivative of 602870*b**2*p**5 + b**2 - 2*b*p - 3*b - 4*p + 86 wrt p? 12057400*b**2*p**3 What is the derivative of 71*i**4 + 3*i**2*v - 2*i**2 + i - 217347*v wrt i? 284*i**3 + 6*i*v - 4*i + 1 Differentiate 31644*n*p + 3*n - 104883*p with respect to n. 31644*p + 3 What is the second derivative of 56*r**4 + 1538*r**2 + 915871*r? 672*r**2 + 3076 Find the second derivative of -10*j*n**2*z - j*n**2 - 23*j*n*z - 240*n**2*z - 50*n*z wrt n. -20*j*z - 2*j - 480*z Find the second derivative of -22726*c**2 + 2*c + 4057. -45452 What is the derivative of -40961*f**2 + 54162 wrt f? -81922*f What is the second derivative of -207*v**5 + 3*v**3 + 16*v**2 - 48630*v wrt v? -4140*v**3 + 18*v + 32 What is the derivative of 284913*f + 985153? 284913 Find the third derivative of 576872*c**3 - 2638952*c**2 wrt c. 3461232 Find the second derivative of 145*g**3*x**3 + 52*g**2*x**3 - 1386*g*x**3 + g - 2*x**2 wrt g. 870*g*x**3 + 104*x**3 Find the third derivative of -106349*p**4 + 11*p**2 + 6775*p wrt p. -2552376*p Find the third derivative of -48*k**2*o**3*v + 31*k**2*o**3 - 3*k**2*o**2 + 5*k*o**3 + 20*k*o**2*v - 2708*k*o*v wrt o. -288*k**2*v + 186*k**2 + 30*k What is the second derivative of 3*l**5 + 2508*l**3 - 61*l + 1
{ "pile_set_name": "DM Mathematics" }
f**3 + c**3*f**2 - 2124*c**3*f + 3*c**3 + 2*f + 1 wrt f? -12064542*c**3 What is the first derivative of -536029*q - 288622 wrt q? -536029 Find the third derivative of -113632*m**6 - 114088*m**2 wrt m. -13635840*m**3 Differentiate 5*n**3 + n**2 - 1439*n + 187645 with respect to n. 15*n**2 + 2*n - 1439 Find the third derivative of -45*g**3*q**2*v - 3*g**3*q**2 - 5*g**3*q*v + 266*g**2*v - 106*g*q**2*v wrt g. -270*q**2*v - 18*q**2 - 30*q*v What is the first derivative of 20*b*g*u - 4*b*g - 2*b*u - 5*b + 4*g*u + 2*g - 13*u + 24 wrt u? 20*b*g - 2*b + 4*g - 13 Find the first derivative of 252*f*u**2*v + 2*f*v - 62*f - u**2 + 2*u*v - 68 wrt v. 252*f*u**2 + 2*f + 2*u What is the second derivative of 36*t**4 + 392*t**3 + 29097*t wrt t? 432*t**2 + 2352*t Find the third derivative of 2*a*u**4 - a*u**3 - a*u**2 - 6*a*u - 5282*a + 1563*u**4 - 5*u**3 - u**2 wrt u. 48*a*u - 6*a + 37512*u - 30 Find the third derivative of 46038*l**3 - 5489*l**2 - 2*l - 4. 276228 What is the derivative of 361055*w - 194781? 361055 Differentiate -2*q*s**3 + 239*q - 16124*s**3 + 17 wrt s. -6*q*s**2 - 48372*s**2 What is the first derivative of -3*o*z**2 + o*z - o + 2924*z**2 + 11*z - 1367350 wrt z? -6*o*z + o + 5848*z + 11 Find the first derivative of 14118*j**2*o**3 - o**3 + 174*o - 7 wrt j. 28236*j*o**3 What is the derivative of -2*b**3*k*y - 52760*b**3*k + 14739*b**2*k*y wrt y? -2*b**3*k + 14739*b**2*k What is the derivative of -2*o**4 - 2*o**3 - 586*o - 17312? -8*o**3 - 6*o**2 - 586 What is the third derivative of -33265*i**6 - 31*i**5 - 9*i**2 + 14471*i wrt i? -3991800*i**3 - 1860*i**2 Find the second derivative of -13*k**2*p**3 - 2*k**2*p**2 - 84*k**2*p*z**3 - k*p**3*z**3 - 60*k*p**3*z + 3*k*p**2*z**3 - 3*k*p*z**2 + 11*p**3*z**2 wrt k. -26*p**3 - 4*p**2 - 168*p*z**3 Find the second derivative of -210203*o**2*r**2 + 4*o**2*r*t + o*r**2*t - 2*r**3*t + 40204*r*t wrt r. -420406*o**2 + 2*o*t - 12*r*t What is the third derivative of 55125*q**3 + 7*q**2 - 566*q wrt q? 330750 Find the second derivative of -6631*f*h**4*s - 2*f*h*r + f*h*s + 2*f*r*s + f*s - 20*h**3*r*s + 86*h*s wrt h. -79572*f*h**2*s - 120*h*r*s What is the second derivative of -10*c**2*o**3*s**2 - 333*c**2 + c*o**3*s**2 + 4*c*o**3*s + 52*c*o**2*s**2 - c*o - s wrt c? -20*o**3*s**2 - 666 What is the second derivative of 5*a**3 + 11014*a**2 + 264*a - 1471 wrt a? 30*a + 22028 What is the second derivative of 5*w**3 + 89647*w**2 - 3901*w + 12? 30*w + 179294 What is the third derivative of -1037*b*l**3 + b*l**2 - 40*b + 15*l**5 - 18 wrt l? -6222*b + 900*l**2 Find the first derivative of 124942*s*u**3 - 198655*u**3 wrt s. 124942*u**3 Find the first derivative of 1188*a*j*y**3 + 2*a*j + a - 52*j*y**3 - y**3 + 4918*y**2 - 2 wrt j. 1188*a*y**3 + 2*a - 52*y**3 Find the third derivative of -359960*b**6 + 67*b**2 + 510*b. -43195200*b**3 What is the third derivative of 13541*x**3 - 248*x**2 + 20*x + 1? 81246 What is the third derivative of -239*b*m**3*y**3 - b*m**2 + b*y**2 - 41*m**3*y**3 - 1226*m**2*y**3 wrt m? -1434*b*y**3 - 246*y**3 Differentiate 35*c**4 + 2*c**3 + 662*c**2 - 2*c + 210446 wrt c. 140*c**3 + 6*c**2 + 1324*c - 2 Differentiate 21965*g*p**2*q + 44*g*p**2 - g*p*q - 2*p*q + 357 wrt q. 21965*g*p**2 - g*p - 2*p What is the second derivative of -506*f**3 + 126*f**2 + 555237*f? -3036*f + 252 What is the second derivative of 2*d**2*v**2 + d**2*v + d**2 + 42*d*r*v**2 + 65*d*r*v - 55*r*v**2 - r*v - 5*v**2 wrt v? 4*d**2 + 84*d*r - 110*r - 10 Find the second derivative of 23548*c**5 + 4*c**2 - 1162041*c wrt c. 470960*c**3 + 8 What is the derivative of -2*m**4 + 694240*m + 593895? -8*m**3 + 694240 What is the first derivative of 2075*x**3 - x + 103747? 6225*x**2 - 1 Find the second derivative of 57*d*m**4 + 44*d*m**3 + 362235*d*m - 2*m**2 wrt m. 684*d*m**2 + 264*d*m - 4 What is the derivative of 3*i*l*t + 80313*i*l - 1138*i*t + 2*l*t - 5*t wrt t? 3*i*l - 1138*i + 2*l - 5 Find the third derivative of -520425*b**3*s**4 + 36*b**3 + 880*s**2 wrt s. -12490200*b**3*s Find the third derivative of g**4 - 69298*g**3 + 23968*g**2 - 2 wrt g. 24*g - 415788 What is the second derivative of -18*a**4 + 2*a**3 - 5625*a**2 + 9*a + 11560? -216*a**2 + 12*a - 11250 Find the third derivative of 567*j*o**5 - 26*j*o**3 - 1002*j*o**2 + 10*j - 8*o**3 + 15*o wrt o. 34020*j*o**2 - 156*j - 48 Find the first derivative of -48079*f + 10166 wrt f. -48079 Find the first derivative of 69*i**4*r + 3*i**2*r**2 - 57*i**2 + 93883*r**2 wrt i. 276*i**3*r + 6*i*r**2 - 114*i What is the second derivative of 10*o**4 + 10*o**3*z + 23*o**2 - 70056*o*z wrt o? 120*o**2 + 60*o*z + 46 What is the second derivative of 734503*p**5 - 1213182*p wrt p? 14690060*p**3 Find the first derivative of 124090*p**3 + 143932. 372270*p**2 Find the third derivative of -2*a**2*k**2*v**3 + 248*a**2*k**2*v**2 + a**2*k**2*v - 2*a**2*k - 21485*a**2*v**3 + 2*a*k*v**2 - 9*a wrt v. -12*a**2*k**2 - 128910*a**2 Find the third derivative of -415086*k**3*y**2 + 14260*k**2 - 2*k*y**2 wrt k. -2490516*y**2 What is the third derivative of -52190*d**3*v**3 - d**3*v - 3*d**3 + 1726*d + v**5 + v**2 wrt v? -313140*d**3 + 60*v**2 Differentiate -2*j**3 + 3322*j**2 - 31*j + 214965. -6*j**2 + 6644*j - 31 What is the second derivative of 809402*v**2 - 283*v - 36? 1618804 What is the second derivative of -260759*m**2 + 185927*m? -521518 Find the first derivative of 645781*n - 968200 wrt n. 645781 What is the third derivative of -h**3*q - 1697788*h**3 - 7*h**2*q - 1079*h**2 - 120*q wrt h? -6*q - 10186728 What is the second derivative of -32*k**4 - 15*k**3 + 4*k**2 - 125737*k wrt k? -384*k**2 - 90*k + 8 Differentiate 136*j**2 - 1712*j - 13513. 272*j - 1712 What is the third derivative of -470997*q**6 - 6*q**2 + 9588*q wrt q? -56519640*q**3 What is the derivative of 149*b*k*v**2 - 2*b*k + 3*b*v**2 - b*v + 3*k*v**2 + 29*k - 6*v**2 - 61 wrt k? 149*b*v**2 - 2*b + 3*v**2 + 29 What is the third derivative of 73094*x**3 - 80*x**2 + 384 wrt x? 438564 Find the second derivative of -209*c**4 + 2628*c**3 + 1500954*c wrt c. -2508*c**2 + 15768*c Find the second derivative of -431478*i**2 - 160191*i. -862956 What is the second derivative of c**3*l*w - 4*c**3*o**2*w + 3*c**3*w + c**2*l - 229*c**2*o**2*w + 124*c*l*o*w + l*o**2*w - l - 2 wrt o? -8*c**3*w - 458*c**2*w + 2*l*w What is the second derivative of -211927*d**2*l + 1654186*d*l wrt d? -423854*l What is the third derivative of 67445*c**3*m**2 - 2*c**2*m**2 + 45444*m wrt c? 404670*m**2 What is the second derivative of -b*h**2 - 2*b*h - 5078*h**3 + 7*h + 469 wrt h? -2*b - 30468*h Find the third derivative of 61*j**4*w**2 + 199*j**4 - 2*j**2*w + 11*j**2 - w**2 - 6*w wrt j. 1464*j*w**2 + 4776*j What is the third derivative of -90996*u**4 - 3*u**2 + 840? -2183904*u Find the third derivative of 58*o**5 - 2568*o**4 + 134*o**2 - 34*o + 4 wrt o. 3480*o**2 - 61632*o What is the first derivative of -87*c**3*l + 16*c**3 + 76*l + 33 wrt c? -261*c**2*l + 48*c**2 What is the derivative of -3*j*p**2*t**2 + 254808*j*p**2 - p**2*t**2 - 61*p*t**2 + 1275*t**2 wrt j? -3*p**2*t**2 + 254808*p**2 Find the first derivative of 411*g**3*x**2 + 110*g**3*x - 2*g**3 - 80*g - 3 wrt x. 822*g**3*x + 110*g**3 What is the third derivative of -1005*h**3*n**4 - 2*h**3*n**2 + 11*h**3*n - 6*n**5 + 175 wrt n? -24120*h**3*n - 360*n**2 Find the first derivative of -6*n**3*o**2 + 3*n**3 + 12*n**2 + 36*n*o**3 + 2*n - 272*o + 1590 wrt o. -12*n**3*o + 108*n*o**2 - 272 Differentiate g*i - 26693*g + 5007*i wrt i. g + 5007 Find the second derivative of -27*d**2*h**3 - 3*d**2*z + 1245*h**3*z - 428866*h wrt h. -162*d**2*h + 7470*h*z What is the second derivative of 74*c**3 - 5024*c**2 - 735522*c wrt c? 444*c - 10048 Find the third derivative of 49139*t**3 + 5962*t**2. 294834 What is the first derivative of -25368*a**4 + 5*a*d + 32*d + 1386 wrt a? -101472*a**3 + 5*d Find the second derivative of 2929765*z**3 - 2*z - 32731. 17578590*z Find the second derivative of -2134671*k**2 + 2*k + 199175 wrt k. -4269342 What is the second derivative of -2*x**5 + 39972*x**4 + 3432782*x? -40*x**3 + 479664*x**2 Differentiate -10417*h**3 + 52*h**2 + 2170461 with respect to h. -31251*h**2 + 104*h Differentiate 100004*c**3*n - 1214*c**3 + 66*c - 19*n with respect to n. 100004*c**3 - 19 What is the second derivative of 20379*x**3 + 7855*x? 1222
{ "pile_set_name": "DM Mathematics" }
*3 and give t. 0 Express (2*x - 4*x - 2*x)*(-29*x**2 + 26*x**2 - 1168*x**3 + 872*x + 1166*x**3) in the form f + m*x**4 + r*x + p*x**3 + b*x**2 and give m. 8 Express -71466*z + 35737*z - 2 + 35729*z + 711*z**2 as a*z**2 + o*z + k and give a. 711 Rearrange -a**2 - 19 - 14*a - 28 + 12 - 9*a + 21*a to the form k*a**2 + m*a + o and give o. -35 Express 462*h - 1136*h - 1556*h in the form n*h + f and give n. -2230 Rearrange -118769*o**2 - 4*o - 2 - o**3 + 6 + 118773*o**2 to the form j*o**2 + f*o**3 + p + n*o and give j. 4 Rearrange 18660*y + 201666654 - 201666654 to the form h*y + j and give h. 18660 Express 584*f - 249*f + 140*f + 353*f in the form h*f + o and give h. 828 Rearrange -9*t**3 - 1173656*t**4 + 2*t + 488*t**2 + 11*t**3 + 1173653*t**4 to the form m + l*t + q*t**4 + g*t**2 + k*t**3 and give g. 488 Express 227*i - 71*i - 64*i - 79*i - 12 as k + z*i and give z. 13 Express 401*g**4 + 5653*g**3 + 2*g**2 - 409*g**4 - 5651*g**3 + 1 + 4*g in the form a*g + x + s*g**2 + m*g**4 + i*g**3 and give s. 2 Rearrange (4*z - z - z)*(101 + 38*z + 51*z - 102 + 17*z**2) to i*z**2 + o*z + y + r*z**3 and give r. 34 Express 10*j + 36 - 2*j + 13*j as y*j + m and give y. 21 Express (-g + g + g)*(1554*g + 944*g + 2935*g + 2972*g - 867*g) as i*g + n*g**2 + x and give n. 7538 Express 221 + 35058*v - 35060*v - 3*v**2 - 27 in the form l*v**2 + p + b*v and give l. -3 Express (d**2 - d**2 + 2*d**2)*(107 - 101 + 10*d - 26*d)*(-1 - 2 + 1)*(9 + 22 + 13) as j + b*d**2 + i*d**3 + v*d and give i. 2816 Rearrange -154*n**3 - 38*n**3 + 41*n**3 + 1 - 105*n**3 - 2 to b*n + i*n**3 + x*n**2 + o and give o. -1 Rearrange 3612*z - 1611*z + 5302*z - 1568*z to the form f + c*z and give c. 5735 Rearrange 608*n**2 - 2969895*n + 2969895*n to the form a + f*n + i*n**2 and give i. 608 Rearrange -12 + 523*z**2 - 10*z + 9*z - 507*z**2 to n*z**2 + j*z + p and give j. -1 Express f**3 + 2*f**4 - f**3 + (-114*f + 117*f - 3*f + 12055*f**2)*(-5*f**2 + 4*f**2 + 4*f**2) in the form v*f**4 + l + x*f + w*f**3 + o*f**2 and give l. 0 Rearrange -8*x**2 + 3*x**2 + 4*x**2 + 269 + 1525*x - 2*x**3 - 766*x - 758*x to p + y*x + f*x**2 + l*x**3 and give y. 1 Rearrange -4108 + 4108 + 15189*n to f + z*n and give z. 15189 Express (-4 + 2 + 4)*(-3*t**3 - 2*t**3 + 6*t**3) - 9 - 433419*t**3 + 9 + 429474*t**3 + 0 in the form r*t**2 + a*t**3 + b + s*t and give a. -3943 Rearrange 4*r**2 - 122 - 25 + 148 - 3*r to the form g*r**2 + f + s*r and give s. -3 Rearrange 52*z + 2 + 10*z + z**2 + 9*z + 71*z - 18*z to the form s + l*z + c*z**2 and give s. 2 Express 12 + 4956*x - 5 - 6 + 1261*x in the form g + r*x and give g. 1 Express -56*y**3 + 42*y**3 - y - 75*y**4 + 152*y**4 - 74*y**4 + 0*y**2 - 2*y**2 in the form d*y + r*y**4 + z*y**2 + t + w*y**3 and give w. -14 Express 980*n + 33 + 41 + 42 - 116 in the form i + b*n and give b. 980 Rearrange (11*v + 6*v - 4*v)*(18*v + 13*v + 4*v) to the form g*v**2 + t*v + i and give g. 455 Express 6141 + 212*x**2 - 429*x**2 - 6152 in the form t + w*x**2 + z*x and give t. -11 Rearrange (-3*u**3 + 2*u**3 + 0*u**3)*(55*u - 234*u + 124*u - 31286 + 54*u) to the form y*u**3 + p*u**2 + v*u**4 + m + d*u and give v. 1 Rearrange -2*o**4 + o - o**2 + 301 + 0*o**4 + 161 + o**4 + 56 to the form d*o**2 + g*o**3 + n + f*o + m*o**4 and give d. -1 Rearrange -1 + 3 + 183*f + 2 + 3 - 15 to a*f + i and give a. 183 Rearrange -4478*u**2 - 2497 + 2497 + 754*u**2 to the form i*u**2 + x + p*u and give i. -3724 Express -7 + 14652*z**2 + 4*z - 14649*z**2 + 5*z in the form j + b*z + c*z**2 and give j. -7 Express -9*o**2 - 14*o**2 - o + o**3 + 18*o**2 as t*o + a + l*o**3 + g*o**2 and give l. 1 Express (3*x**2 + 0*x**2 - 4*x**2)*(x + 2*x + 5*x)*(2 + 16 - 4) as n*x + a + m*x**2 + b*x**3 and give b. -112 Rearrange 2139 - 116*l + 2099 + 30*l**2 + 5*l - 4238 to h*l + b*l**2 + g and give b. 30 Rearrange (-4 + 7 - 1)*(-2 + u + 2) + u + 2*u - 2*u + (11 - 7 + 2)*(1885*u - 740 + 740) to the form p + c*u and give c. 11313 Express -667*i + 613*i**4 - 2 - 611*i**4 + 3*i**2 + 161*i - 105*i in the form l*i + z*i**3 + s + g*i**2 + c*i**4 and give g. 3 Rearrange (0*m**2 - 16*m**2 + m**2)*(-98 + 63 + 2*m + 62) to the form a*m**2 + q*m**3 + g + o*m and give q. -30 Rearrange 10617*d + 10596*d + d**2 - 30*d**3 - 21210*d to n*d + z + g*d**3 + c*d**2 and give n. 3 Express -12232 + 163*f + 12236 + 98*f as n + t*f and give n. 4 Express 63 - 2*w + w**2 + 57 - 126 + 3*w**4 + 0*w - w**4 as h*w**4 + o*w**2 + g*w + r*w**3 + b and give o. 1 Rearrange -15 - 11 - 2*a**3 - 13*a - a**2 - 7*a**3 + 26 to the form i*a**2 + b + t*a + g*a**3 and give t. -13 Express 279194*r**2 - 643*r - 279191*r**2 + 6 - 3 in the form w*r**2 + o + b*r and give b. -643 Express (0*v + 0*v - 2*v - 3 + 3 - 2*v + (0*v - 2*v + v)*(-2 + 4 + 0) - 10*v + 16*v - 29*v)*(-3 + 1 - 1)*(8 + 4 - 4) in the form k*v + i and give k. 696 Rearrange -10*n + 5 - 983*n**3 - 16*n + 985*n**3 to the form f*n**2 + y*n + i*n**3 + z and give i. 2 Express (-12 - 21 + 0)*(z**3 - 16*z + 17*z - 2*z**3) + (-2*z + z + 0*z)*(-z**2 - 9*z**2 + 4*z**2) in the form l + x*z**3 + t*z + r*z**2 and give x. 39 Rearrange 2*b**2 + 3*b - 3*b + 29*b**2 - 2*b**2 + 2*b**2 + (0 + 0 + b)*(3*b - 2*b + 2*b) + 10*b**2 - b**2 - 4*b**2 to the form z*b + p + u*b**2 and give u. 39 Express (h - 3*h + h)*(22 + 21 - 31)*(-7 + 5 + 11) as r + v*h and give r. 0 Express (-5 + 78*j + 41 - 3 + 585*j)*(3 - 1 - 1) as h + k*j and give h. 33 Rearrange -1 + 2*w**2 + 1 + (0 + 2*w + 0)*(51 - 51 + 41*w) + (-5*w**2 + w**2 + 3*w**2)*(-1 + 2 - 4) to o*w**2 + f + v*w and give v. 0 Express (1 + 1 + 2)*(139*v + 456*v + 61*v) - v - v - v as w*v + h and give h. 0 Rearrange 4179*q**2 - 2215*q**2 + 559*q**2 + 4143*q**2 to the form d*q + x + a*q**2 and give a. 6666 Express (-3*p**3 + 2*p**3 + 3*p**3)*(-4789 + 391 + 16207 + 13961 + 11046) as o + i*p**3 + m*p + r*p**2 and give m. 0 Rearrange 311*r + 0*r**2 + r**2 - 6053*r**3 + r**2 + 3025*r**3 - 1 + 3024*r**3 to h + g*r**2 + b*r + p*r**3 and give b. 311 Rearrange -631*z**2 + 1820*z**2 - 628*z**2 - 554*z**2 + 125 to the form a + x*z + y*z**2 and give y. 7 Rearrange -268*k - k**2 + 3*k**4 + 261*k + 15*k**4 + k**3 - 1 to v*k**2 + x*k + d + g*k**4 + p*k**3 and give d. -1 Express 114463 - 23*h**3 - 114461 + 2*h**2 + 3*h**2 as y*h**3 + w*h**2 + o*h + c and give y. -23 Express 2*b**4 + 285*b**3 + 144*b**3 + 2 - 86958*b + 86961*b + (2 + 3*b - 2)*(5*b - 5*b - 2*b**3) as c*b**3 + j*b**2 + z + a*b**4 + o*b and give a. -4 Express (-3*m + 2*m + 2*m)*(1748 + 1386 - 2518 + (-1 + 0 - 1)*(-4 + 14 + 7)) in the form g + x*m and give g. 0 Rearrange 22752 - 11378 - 11373 - 464*n to g + a*n and give a. -464 Express (-2 - 2 - 6)*(8*u + 3*u**2 - 8*u) - 306 - 102*u**2 + 306 in the form n*u**2 + l*u + q and give n. -132 Rearrange -84*v + 42*v**3 - 66*v**3 + 2*v**2 - 1 + 26*v**3 to a*v**3 + z*v**2 + i + l*v and give i. -1 Rearrange 31*y - 5771 - 19*y - 12*y + 2*y - 4703 to the form d*y + c and give c. -10474 Express -35*i - 165*i**2 + 1 + 346*i**2 - 178*i**2 as u*i**2 + m + j*i and give m. 1 Rearrange 3*v + 4*v - 19*v + (52 - 21 - 17)*(-3*v + 4*v - 2*v + (-3*v - 2*v + 2*v)*(5 - 3 - 3) - v - 2 + 2) to p*v + u and give p. 2 Express 4*a**3 - 45 - 30*a - a**2 + 29*a + 5*a**3 - 6*a**3 as i*a + y + l*a**3 + q*a**2 and give y. -45 Rearrange 3 + 2 + 5*r**3 - 3*r**3 + 1151*r**2 - 3 - 2771*r**2 to the form o*r**3 + u*r**2 + x + w*r and give u. -1620 Express (6*l + l - 5*l)*(18 + 0 - 48)*(-3 + 5 + 13)*(17*l**2 + 38 - 38) in the form u*l + t*l**3 + n + o*l**2 and give t. -15300 Express (4*u - 8*u + u)*(2*u**3 - u + u) + 115 - 115 + 3*u**4 - u**4 + 0 + 0 in the form g*u**2 + o*u**4 + i + d*u**3 + z*u and give o. -4 Express 5381819*z**3 + 107 - z**4 - 5381819*z**3 - 9*z**2 + z + 0*z**4 as p*z**2 + u*z**3 + c*z**4 + y + n*z and give y. 107 Rearrange ((3 + 1 - 2)*(-2 - b + 2) + 4*b - 3*b - 2*b)*(1657 - 3339 + 1645) to q + j*b and give j. 111 Rearrange (6 + 5 - 3)*(-1 - 4 - 2)*(0*n - n - 19*n + 5*n - 2*n - 2*n + (-2 + 3 + 0)*(2 - 2 + 2*n) - 6*n + 0 + 0 - 2*n - 2 + 2) to q + u*n and give u. 1400 Express 623*f + 512*f + 63*f - 2*f**2 - 235*f in the form c + h*f**2 + w*f and give h. -2 Express (-11921 - 11597 + 21242)*(2*q**4 + 9*q**4 - 4*q**4) as a*q**2 + d*q + c + j*q**3 + n*q**4 and give n. -15932 Rearrange -5 + 8 + 2*r**2 + 496*r**3 - 502*r**3 to the form
{ "pile_set_name": "DM Mathematics" }
64 Simplify (-2*(-2 + sqrt(3)*-3) + (sqrt(108)/sqrt(3))/sqrt(12) + -5)**2. -14*sqrt(3) + 148 Simplify 2*(sqrt(5) + (sqrt(5) - 6*(-4*sqrt(5))**2)) - (-4*(sqrt(5) + 0) - -5*(sqrt(125))**2). -1585 + 8*sqrt(5) Simplify (-5*1*(sqrt(133) - ((sqrt(133) - (sqrt(133) - 2*sqrt(133))) + sqrt(133)) - sqrt(133)))/(2*sqrt(77)/(sqrt(55)/sqrt(5))). 15*sqrt(19)/2 Simplify ((5*sqrt(396)/sqrt(144))/(3*sqrt(484)*-1))**2. 25/1584 Simplify -1*-6*((sqrt(572) - -3*sqrt(572))*-4)/sqrt(11). -192*sqrt(13) Simplify ((5*(-1*sqrt(117)*-2 - sqrt(117)))/(sqrt(54)/(sqrt(6) + (sqrt(96)*-4 - sqrt(6)))))**2. 83200 Simplify (2*(sqrt(88) + (sqrt(88) + sqrt(88)*-1 + sqrt(88) - sqrt(88))) + sqrt(88) + sqrt(88))/(sqrt(16)/(4*sqrt(2))). 16*sqrt(11) Simplify 5*(4 + -1 + sqrt(175) + -2 - (1*(sqrt(175) + sqrt(175) + 1) + -2 + -1*sqrt(175)))**2. 20 Simplify -4 + ((sqrt(1053) + 0 + sqrt(1053))*4)**2 + sqrt(1053)*1*5. 45*sqrt(13) + 67388 Simplify -3*(((sqrt(128))**2 + -1)*-6 + -4). 2298 Simplify (sqrt(360) + sqrt(360) + (sqrt(360) - (sqrt(360) - (sqrt(360) - (sqrt(360) - -2*sqrt(360))))) + sqrt(360))/((sqrt(1000) + sqrt(10))/sqrt(5)). 6*sqrt(5)/11 Simplify ((-1*sqrt(342) + sqrt(342))*-4)/(2*(sqrt(2) - (sqrt(2) - (sqrt(18)/(sqrt(9) - ((sqrt(9) - sqrt(225)) + sqrt(9) + sqrt(9)) - sqrt(9)) - sqrt(2))))). 0 Simplify (-6*(2 + sqrt(112)) + 0 + 3)**2. 432*sqrt(7) + 4113 Simplify -3 + -5*(sqrt(99) - (sqrt(99) - (-2 + sqrt(99) + 2))**2)*1*-6. -3 + 90*sqrt(11) Simplify (sqrt(32) + 1)*4 + (3 + (1 + sqrt(2))**2 - sqrt(2)) + sqrt(8)/sqrt(4)*4. 10 + 21*sqrt(2) Simplify (sqrt(20) - (sqrt(20) + -2*sqrt(20)))/sqrt(4) + (sqrt(5) + (sqrt(5) - sqrt(45)))*-2 + sqrt(10)/(2*sqrt(18)). 25*sqrt(5)/6 Simplify (1 + -2*sqrt(288) + 0)**2 - (((sqrt(288) - -1*sqrt(288)) + sqrt(288))*6 + sqrt(288) - (sqrt(288) + (sqrt(288) - (1 + sqrt(288) + -1))))**2. -92159 - 48*sqrt(2) Simplify (-1 + 3 + (sqrt(128) + -2)*-6)*-2 + 1. -27 + 96*sqrt(2) Simplify (sqrt(224)/(sqrt(32)/(sqrt(4) + sqrt(4)*3 + sqrt(4))))/(-3*sqrt(16)*-3). 5*sqrt(7)/18 Simplify 6*(sqrt(45)/((sqrt(18) - (-2*sqrt(18) + sqrt(18)))/sqrt(2)) - (-3*(sqrt(15)/sqrt(3))**2 + 5)). 3*sqrt(5) + 60 Simplify -6*(sqrt(200)/sqrt(10) - sqrt(5)*5*2). 48*sqrt(5) Simplify -2*((4 + (sqrt(1539) - (sqrt(1539) + -1)) - (-4 + (sqrt(1539)*1 - sqrt(1539)))) + -3)**2*4. -288 Simplify sqrt(245) + (sqrt(245)*6 - sqrt(245))**2 + sqrt(245) + -1 + sqrt(245) + -2*sqrt(245)*-4. 77*sqrt(5) + 6124 Simplify (-1*sqrt(152)*-1 + -1*sqrt(152)*-2)/(sqrt(32)/(sqrt(36)*2)). 18*sqrt(19) Simplify (3 + ((2 + sqrt(325) + sqrt(325))*-1 - -3*(sqrt(325) + 0)))**2. 10*sqrt(13) + 326 Simplify (-6*-2*sqrt(567) + sqrt(567) + -1 + -5)**2*4. -5616*sqrt(7) + 383436 Simplify -3*-5*(sqrt(76) - sqrt(19)) - sqrt(171)/(sqrt(99)/sqrt(99)). 12*sqrt(19) Simplify 1 + (-3 + ((sqrt(2592) - sqrt(2592)*-1) + sqrt(2592) + sqrt(2592))*1)**2. -864*sqrt(2) + 41482 Simplify 1 + (-1 + sqrt(275))**2 - (3*sqrt(275)*-5)**2. -61598 - 10*sqrt(11) Simplify (-1 + -2 + sqrt(3) + 0 + -1 + sqrt(3))*-1*4 + -3. -8*sqrt(3) + 13 Simplify ((-2*(-1 + sqrt(1216)) + sqrt(1216))*-4 - (5 + -4*(sqrt(1216) + 3)))**2. -128*sqrt(19) + 77825 Simplify (sqrt(450)/(2*sqrt(10)) - (-5*sqrt(45)*-2 + sqrt(45) - sqrt(45)))/(6*(-2*sqrt(9) + sqrt(9) - sqrt(9)) + sqrt(90)/sqrt(90)). 57*sqrt(5)/70 Simplify 4*((-2 + sqrt(112)*2 - (-2*sqrt(112) + -4))**2 + 3)*4. 1024*sqrt(7) + 28784 Simplify (4 + sqrt(27) + 4 + sqrt(3))**2 - (-5 + sqrt(300) + 2 + sqrt(300) + sqrt(300)). 34*sqrt(3) + 115 Simplify (1 + -2*(sqrt(2) - (sqrt(4)/sqrt(2) + 1)) + 2)*-3. -15 Simplify (1*(-3 + sqrt(117) + 0 + sqrt(117) - (sqrt(117) + -4 + 0)))**2. 6*sqrt(13) + 118 Simplify 2*(-1 + sqrt(76) + -4 - sqrt(76))*6 + -2. -62 Simplify sqrt(20)/(sqrt(100)/sqrt(10))*4 - ((sqrt(2) + sqrt(50) + -2)**2 + -1*(-2*sqrt(2) - sqrt(2))). -76 + 25*sqrt(2) Simplify (((3*1*sqrt(264))/sqrt(11))/((sqrt(768) + 2*sqrt(768))*-1 - sqrt(768)))**2. 9/512 Simplify -5 + sqrt(432)*2 + sqrt(432) + (3*sqrt(192)*1 - sqrt(192))**2. 36*sqrt(3) + 763 Simplify 2*(-5*sqrt(225)*-6)/(sqrt(605) - -1*(2*sqrt(605) - sqrt(605))). 90*sqrt(5)/11 Simplify ((4*1*sqrt(171)*1)/(sqrt(63)/((sqrt(7) + sqrt(42)/sqrt(6))*5 - sqrt(7))))**2. 24624 Simplify (4*sqrt(44) - (2 + sqrt(176))**2)*-4. 32*sqrt(11) + 720 Simplify ((sqrt(88)*1 - sqrt(88))*-4)/sqrt(8) - ((sqrt(704) + -1)**2 + 5*(sqrt(22)/sqrt(2))**2). -760 + 16*sqrt(11) Simplify (sqrt(847)*1 + 4 - (4 + 1*sqrt(847)) - (-4*2*sqrt(847) + sqrt(847) + -1 + (-2*sqrt(847) - sqrt(847))))**2. 220*sqrt(7) + 84701 Simplify (-3 + (sqrt(833) + 0 - sqrt(833)) + sqrt(833) - (sqrt(833) - (sqrt(833) + 2*sqrt(833)))*-6)**2 - (sqrt(833) + -2*(-2 + sqrt(833)))*-2. 448*sqrt(17) + 100810 Simplify 2*(1 + -3 + (sqrt(68))**2 - 1*(sqrt(136) - sqrt(136)*1)/sqrt(8)). 132 Simplify (-1 + (2*(-3 + sqrt(17)) - sqrt(17)))**2 + 4 + sqrt(272) + sqrt(17) + 1 + sqrt(17) + 0. -8*sqrt(17) + 71 Simplify 1 + (4 + (sqrt(55)/(sqrt(11)*-1) - sqrt(125)*-4))**2. 152*sqrt(5) + 1822 Simplify 0 + (sqrt(297)/(sqrt(1089)*2 - sqrt(1089)))/((sqrt(220) + sqrt(55))/sqrt(5) - sqrt(66)/(sqrt(54) - sqrt(6))). 2*sqrt(3)/55 Simplify (((5 + -1 + sqrt(99) - ((-5 + sqrt(99)*2 - sqrt(99)) + sqrt(99))) + 2)*6)**2. -2376*sqrt(11) + 7920 Simplify -5 + (-2 + sqrt(931) + sqrt(931) + 0 + sqrt(57)/(-2*sqrt(192)))**2. -223*sqrt(19)/4 + 944595/256 Simplify (-1*sqrt(315)/sqrt(5))/(sqrt(9) - (sqrt(288)/sqrt(2) + sqrt(9))) + -3 + -1. -4 + sqrt(7)/4 Simplify (6*6*(sqrt(175) + -4*(1 + sqrt(175)) + sqrt(175))*-5)**2. 2592000*sqrt(7) + 23198400 Simplify ((sqrt(800)*-2)/(sqrt(1200)/sqrt(12))*1)**2. 32 Simplify (sqrt(4719) + (sqrt(4719) + sqrt(4719) + 4*sqrt(4719) - sqrt(4719)) - sqrt(39))/sqrt(300). 13*sqrt(13)/2 Simplify -1*((sqrt(147) - (sqrt(147) + sqrt(147) + 3 + sqrt(147)))*-5 + -4). -70*sqrt(3) - 11 Simplify ((sqrt(240)/sqrt(8))/sqrt(5))/(-6*(sqrt(3) + (2*sqrt(3) - sqrt(3)))). -sqrt(2)/12 Simplify -3*((2 + 1*sqrt(19) + 0 + sqrt(1216))**2 + 2)*-4. 432*sqrt(19) + 18540 Simplify (-2*sqrt(325)*-4 + 0 - (2 + -4*(sqrt(325) + sqrt(325) + 0 + sqrt(325))))**2*1. -400*sqrt(13) + 130004 Simplify (6*((sqrt(270)*5)/sqrt(9))/(sqrt(30)/(sqrt(20)/sqrt(4))))**2. 4500 Simplify (6*(0 + sqrt(99) + 1 + -4))**2. -648*sqrt(11) + 3888 Simplify 5*((-3 + (sqrt(252) + sqrt(63))/sqrt(9) + -2)**2 + 3). -150*sqrt(7) + 455 Simplify 5 + -6*((sqrt(192) - -2*sqrt(192)*4)**2 + sqrt(192)). -93307 - 48*sqrt(3) Simplify (-5*sqrt(49)/sqrt(7))**2 + -4 - (2 + sqrt(567) + 4)**2. -432 - 108*sqrt(7) Simplify -3*sqrt(51)/(sqrt(147)*-1)*3. 9*sqrt(17)/7 Simplify ((sqrt(80)*-1)/sqrt(8))/(sqrt(20) + sqrt(80)/sqrt(4)) + -4*(sqrt(2) - sqrt(8)/(sqrt(12)/sqrt(3)))*-1. -sqrt(2)/4 Simplify (((sqrt(637) + -3 - sqrt(637))*-5)**2 - sqrt(637)) + 5*(sqrt(468) + -2). 23*sqrt(13) + 215 Simplify 2 + -4 + (4*(sqrt(4) + sqrt(24)/sqrt(6)))/(sqrt(18)/sqrt(324)). -2 + 48*sqrt(2) Simplify sqrt(117)*-2 + -1 + sqrt(39)/sqrt(3) - (sqrt(13) + (sqrt(65) + -1*sqrt(65))/sqrt(5) + (sqrt(13) + 1)**2 + -5). -8*sqrt(13) - 10 Simplify (-1 + (2*sqrt(20)*5 - -2*sqrt(20)*3) + 3)**2. 128*sqrt(5) + 5124 Simplify -1 + (4 + (sqrt(1900) + (-2*sqrt(1900))**2 + -3 - sqrt(1900)))*-5*4. -152021 Simplify ((sqrt(21)/(4*sqrt(7))*2)**2 + ((sqrt(6)/sqrt(2)*6)**2 - (3 + sqrt(3) + -1)))*1. -sqrt(3) + 427/4 Simplify (-1 + (sqrt(468) - 5*(sqrt(468) + sqrt(468) + -1)) + (sqrt(468) - 4*sqrt(468)*1) + sqrt(468) + 2 + -1 + sqrt(468) + sqrt(468))**2. -540*sqrt(13) + 37933 Simplify -5*((sqrt(8064)*1 - sqrt(8064)) + sqrt(8064))/(sqrt(64)/sqrt(32)). -120*sqrt(7) Simplify (4*-5*sqrt(60) + sqrt(60))/(sqrt(12) + ((sqrt(96) - (sqrt(96) + 5*sqrt(96))) + sqrt(96) - sqrt(96) - sqrt(96))/sqrt(8) + sqrt(12)). 19*sqrt(5)/4 Simplify sqrt(34)/sqrt(50) + (sqrt(17)*-2 + sqrt(17) + 3)**2 + sqrt(204)/(sqrt(12)*-1) + (sqrt(1088)*-1 - sqrt(17))**2. -34*sqrt(17)/5 + 1403 Simplify 1*((sqrt(143) + -5*(sqrt(143) + 2*sqrt(143)) + sqrt(143) + sqrt(143))/(-2*sqrt(44)) + -3). -3 + 3*sqrt(13) Simplify -6*4*sqrt(252)/sqrt(4)*2. -144*sqrt(7) Simplify ((sqrt(51)/sqrt(3) + 4 + (sqrt(17) + 4)*4)*-1)**2. 200*sqrt(17) + 825 Simplify -5 + 0 + (sqrt(1323)/sqrt(9) - (sqrt(21) + sqrt(168)/sqrt(8))/sqrt(7)) + -2. -7 + 5*sqrt(3) Simplify sqrt(931)*-3 + -2 + (2 + sqrt(19))*-1 + 1. -22*sqrt(19) - 3 Simplify ((5*-2*sqrt(114)*1)/((1*sqrt(66)*-6 + sqrt(66) - sqrt(66))/sqrt(11)))**2. 475/9 Simplify (-4 + -2 + sqrt(55)/(sqrt(20)/
{ "pile_set_name": "DM Mathematics" }
1/2))/h*h)**(10/7) assuming h is positive. h**(-31/63) Simplify ((h**(-1/5))**(-4/15)/((h*h**(-13/3))/(h*h*h**(-9))))**(-37) assuming h is positive. h**(10027/75) Simplify h**(3/7)/(h*h*h**7)*(h**(-1/2)/h)**(-45)*((h/(h/h**(-2/5)))/h**(-7))/(h**2/((h**(3/8)*h)/h)) assuming h is positive. h**(17893/280) Simplify ((i**(-1/3))**(-48))**(-29)*((i/i**(9/4))/i**0)**15 assuming i is positive. i**(-1931/4) Simplify ((k/k**(-1)*k)**(-35))**(-2)/(k*(k*k**(1/4))/k*k*k*k*k**(1/5)/k)**(4/31) assuming k is positive. k**(32481/155) Simplify ((t/(t/(t**(2/7)*t)))/(t/((t**(2/25)/t)/t)*t*t))**(-36)/((t/t**5*t*t)/(t/t**(2/17))*(t**(-1/4)*t)**(-45)) assuming t is positive. t**(1992853/11900) Simplify (q**0/q)**16/(q**(-2/3))**(-4/17)*(q**(-6)/(q*q/q**(3/7)))/((q**(-1/4)/q)/(q*q*q/(((q*q**(-3/4)/q)/q)/q)*q)) assuming q is positive. q**(-5615/357) Simplify (o**5/(o*o*o/o**4))**(2/27)*o**(-3)*o**(-3/4)*(o/(o**1*o)*o)**39 assuming o is positive. o**(-119/36) Simplify (p**(-2)/((p/(p/p**(2/7)*p))/p))**(4/25)/((p*p**(-1/2)/p)**(-1/27)/(p**(1/3))**(2/29)) assuming p is positive. p**(-11303/274050) Simplify (((m**(-2/5)*m)/m*m)**(-1/2)*(m*m**5)/m**(-1/4))/((m/((m/(m**(-5)*m*m)*m)/m)*m*m**(-2/11))/(m**1)**(-43)) assuming m is positive. m**(-7671/220) Simplify ((w**(-2/5)*(w**(5/6)*w)/w)**(27/2))**(-42) assuming w is positive. w**(-2457/10) Simplify ((w*w/(w/w**4))/(w/(w**(-1)/w))*w*w**(-2/5)*w*w*w/w**(-1/5))/((w*w/w**4*w**(-2)*w)/(w**5/(w**(-2)*w*w))) assuming w is positive. w**(69/5) Simplify (((w/w**(-1/6))/(w*w**(-13)/w))/(w*w**(2/9))**24)**(3/8) assuming w is positive. w**(-91/16) Simplify ((n*n**(1/3)/n)**(-8/11)/(n**20*n**(-10)))**(-5/8) assuming n is positive. n**(845/132) Simplify ((j**(2/5)/j**(-4))/(j*j**(-2/17)*j*(j**5/j)/j))/((j**(-1)/j)/(j/(j**(1/8)*j))*(j/j**(2/7))**30) assuming j is positive. j**(-95371/4760) Simplify (((t/(t*t*t**2))/t)**(4/11))**(-15/4)*(t**(2/3))**(23/2)/((t*t**5)/(t*t/t**(5/6))) assuming t is positive. t**(547/66) Simplify (((y**(2/5)*y)**9*(y/((y**6/y)/y))/(y/(((y*y/(y/(y*y/y**(-3/4))))/y)/y)))**(-41))**16 assuming y is positive. y**(-33948/5) Simplify ((((w/w**(-7))/(w/(w/w**(1/14))))**38)**(-43))**(-39) assuming w is positive. w**(3536793/7) Simplify ((f**(2/17)/f)**0/(f*(f*f**(-6)*f*f)/f*f*f)**(1/5))**48 assuming f is positive. f**(48/5) Simplify ((l**0)**29*l*l/((l*l**(-2/3))/l)*l*l*l**(1/5))/((l**(-2/3))**(-9))**(-6/7) assuming l is positive. l**(1051/105) Simplify ((w*w**(2/5))/w*w**(-1/3))/((w/((w/w**6)/w))/(((w*w**1)/w*w)/w))*(w**(2/9)/w*w/(w*(w/w**0)/w*w*w))**(-3/5) assuming w is positive. w**(-64/15) Simplify (w*w*w**(-2/25)*w*w*w*w/((w*w**(-1/8))/w)*w/(w*w/((w/(w/(w/(w*w**(-2/13)*w))))/w*w))*w/(w/(w**(-4)/w)))**(-12/7) assuming w is positive. w**(6249/4550) Simplify (o**(-2/27)*o/(o**(-2/3)*o*o*o))**(-47)*(o/((o/((o**(-4/9)*o)/o))/o*o)*o**2)/(o**(3/5)/o*o**(-5)/o) assuming o is positive. o**(10004/135) Simplify ((s**(1/37)*s**24)**3)**1 assuming s is positive. s**(2667/37) Simplify ((w**(2/5)*w)**(-1/6))**25/((w**3)**(2/77))**49 assuming w is positive. w**(-637/66) Simplify ((r**(-1/2)*r/(r*r**(3/8)))/((r/r**(-1))/r**(1/2)))/((r*r**(2/7)/r)/r**(-5/3)*r*r**(-1)*r**(5/4)) assuming r is positive. r**(-937/168) Simplify ((((t/(t/(t/(t**1/t))))/t)/t)**8/(t**0/t**(-1/6)))/(t**(2/15)*t*(t**(2/9)*t*t)/t*(t/(t*t**(-1)))**34) assuming t is positive. t**(-4007/90) Simplify (n**(-7/3))**(2/11)*(n*n**(-39))/(n**29*n) assuming n is positive. n**(-2258/33) Simplify ((l**(-9))**(-46)/((l*l**(3/4)*l)/(l*l**(-36/11)*l)))**(-22) assuming l is positive. l**(-18039/2) Simplify ((u/(u*u*u**(1/3)*u*u)*u**(-7))/(u**7*u*u*u**(-4/7)*u))**2 assuming u is positive. u**(-830/21) Simplify ((((p**5*p)/p)/p)/(p/((p*p/(((p*p/(p/p**8*p)*p)/p)/p*p))/p)))**(3/26)/((p/(p/(p*p/p**(-1/5)*p)))/p**1*p**(-2/9)/p**(-2/5)) assuming p is positive. p**(-1661/585) Simplify ((l/(l*l**1))**49)**(-1/13)*(l**(1/6)/l**(2/11))/(l**(2/37)*l*l**(-4/5)) assuming l is positive. l**(555559/158730) Simplify (u**2)**50/((u/(u/(u/((u/(u**(3/5)/u)*u)/u*u))))/(u*u*u**(1/2)*u))*((u**1)**29)**(2/39) assuming u is positive. u**(41491/390) Simplify v/(v*v**(-2/3))*v*v**5*v*v*(v/(v/(v*v*v/v**(-1))*v)*v)**(1/11)*(((v*(v/(v**0/v))/v*v)/v)**(-28))**24 assuming v is positive. v**(-44054/33) Simplify ((n**(-38/5)*n**(-25)/n*n)**(2/123))**(-7) assuming n is positive. n**(2282/615) Simplify ((d/(d*d*d**(1/2))*d)**33)**(-40)/((d**5/(d*d*d**1/d*d))/(d*d**(-5)*d*d/d**4)) assuming d is positive. d**652 Simplify (a**(-1/3)*a)**(2/13)*(a**(-6)/a)/a**(-1)*((a**(-2/9)/a)/a*((a*a**7)/a)/a*a)/(a/a**(6/5)*a*((a*a**(-2/11))/a)/a) assuming a is positive. a**(-4748/6435) Simplify (x/x**(1/13)*x**(-13))**(-2/101)*(x*(x/((x*x**(-4/9))/x))/x*x*x**(3/4))/((x/(x/(x*x*x*x/(x/x**(3/2)))))/(x/x**2)) assuming x is positive. x**(-97675/47268) Simplify ((u**(2/9)*u)/(u*u**(3/8)*u)*u**(-4)/u**(1/9))**(-37) assuming u is positive. u**(14023/72) Simplify ((v/(v/v**(-2/9)))**(3/2)/(v**(-8)/(v/(v*(v/(v/(v**0/v*v)))/v*v))))/(((v*v/(v*v*v**9*v))/(v*v*v*v**6))/(v**(-1/7)*v/v**(-8))) assuming v is positive. v**(746/21) Simplify (((w*w/(w/w**(1/4)))**28/(((w**2*w)/w)/(w*w**(4/5)*w*w*w)))**(-1/14))**(11/2) assuming w is positive. w**(-297/20) Simplify (u**2)**(-1/5)*(u**(1/3)/u*u*u)**1*(u**(1/16)/(u**(-6)*u*u*u))/(u*u**(-5)*u**7) assuming u is positive. u**(239/240) Simplify ((s/(s/(s**2*s)))/(s/(s/(s*s*s**(1/6)/s))))**(-29)*((s**(1/2))**(2/35))**(8/5) assuming s is positive. s**(-55777/1050) Simplify ((y/y**(-2/7))/y)**(4/19)/((y**(6/11)/y)/((y**8/y)/y))*(y*(y**(-2/3)*y)/y*y)**(-9)/(((y**2/y)/y)/(y*y/(y**(-6)*y))) assuming y is positive. y**(2216/1463) Simplify (j**(-1)*j*j)/j**(-3)*j**(-1/10)*j*j**(5/6)*((j**(-1)/j)**23)**4 assuming j is positive. j**(-2674/15) Simplify ((((n/n**14)/n)/(n*n**(4/7)*n))/(n**(-1/4)/n)**41)**(-50) assuming n is positive. n**(-24275/14) Simplify (((k**(-1/2))**(-11)*(k**(-1))**(-6/7))**(-34))**35 assuming k is positive. k**(-7565) Simplify (((c*(c/c**(-4))/c)/c*((c**(-2/13)/c)/c*c)/c)/(c*c/(c/(c**(-2)/c)))**23)/((c*c*c*c**(1/3)*c*c*c)**5)**(-47) assuming c is positive. c**(59911/39) Simplify (o*o*o**(-3)*o*o*o**2)/((o/o**9)/(o*o**(3/8)))*((o/o**(1/4))/o)**(-32)/(o**(-2/5)/(o**8/o*o*o)) assuming o is positive. o**(1191/40) Simplify (h**(4/5)*h/h**(1/11))/(h**(-4)/h**(-3))*(h**(-2/3)*h**(-2/11)*h)/(h/h**0)**(-2/121) assuming h is positive. h**(5222/1815) Simplify (((q/((q**(-1/3)*q)/q))/q)**(-2/11))**(-2/65)/(((q*q*(q*q**(-2/5))/q)/q)**(2/49)/(q**(-1))**(-1/32)) assuming q is positive. q**(29009/3363360) Simplify ((a/a**(-2/13))/(a*a**(-7)))**(4/27)*(a**(-2/7))**8/((a*a/(a**4/a))/(((a/(a*(a/((a/(((a**3*a)/a)/a))/a))/a*a)*a*a*a)/a)/a)) assuming a is positive. a**(-1823/819) Simplify a**(-5/8)*a**46*(a**22)**(-2/107) assuming a is positive. a**(38489/856) Simplify (s**(1/9)*s/(s/((s*s/s**(-5))/s))*(s/(s*s**1))**(-36/7))/((s**(-2)*s/(s*s*(s/(s*s**6)*s*s)/s*s*s))/(s**(4/9)/(s*s**(-2/7)))) assuming s is positive. s**(692/63) Simplify (y**(2/7)*y)**(-17/3)/(y**(2/5))**2*y**(1/3)*y*y**(-2)*((y**(-5/2)/y)/y)/(y/y**3) assuming y is positive. y**(-2363/210) Simplify (a**(1/20)*a*a/(a/(a/a**(-10)))*(a*a**(-2)*a)**(-35/2))**31 assuming a is positive. a**(7471/20) Simplify (s**(7/5)/(s**(-2/5)/s))**(-2/29)*(s**(2/7))**(41/4)/((s/s**(-1/2))/s)**(-29) assuming s is positive. s**(17494/1015) Simplify j*j/j**(5/3)*j/j**(-5/3)*(j**(-2/3)*j)**(-3/10)*(j**1)**(-32)*j**(1/4)*j/j**(-1/4) assuming j is positive. j**(-138/5) Simplify ((k*k*k**(-5)*k)/(k*k**(-4/3)))/(k/((k*k/k**(-6))/k)*(k/(k/k**(2/5))*k)/k*k)*((k*k/(k/(k**1/k))*k)**35)**(-43) assuming k is positive. k**(-45106/15) Simplify ((c**0)**(-1/8))**(-27)/(c**6*c*c**(1/3)*c*c**(2/9)/(c/((c*c*c**(-2/5))/c))) assuming c is positive. c**(-367/45) Simplify (((k*k**10)/(k/(k*k**(-27)*k)))/((k/(k*k*k**(-19/2)))/k**(4/7)))**(-39) assuming k is positive. k**(12519/14) Simplify ((n**(-1/3)/n)**(-25)/((n*n**(5/6)/n)/n**(-9)))**(2/39) assuming n is positive. n**(47/39) Simplify (l**(-1)*l**(-1)*(l**(-1/2)/l)/(l*l**(-5)))/((l/l**(-1/2))/(l/(l/(l*l**(-2/3)*l*l)*l)*l))**(-1/22) assuming l is positive. l**(61/132) Simplify (s**(-7)/(s*(s/(s**(-4)*s*s*s))/s))/(s**(-2/9)/(s*s*s**(-3)*s))*(s/s**(1/8))/s**(-8)*s/(s**4/s)*s**(-4/9) assuming s is positive. s**(-169/72) Simplify ((i/i**3
{ "pile_set_name": "DM Mathematics" }
*2 + 840*k**2 What is the second derivative of d**2*m**4 + 95892*d**2*m**3 + 42898*d**2*m - 2*d**2 wrt m? 12*d**2*m**2 + 575352*d**2*m Find the third derivative of 28480*o**3 - 4*o**2 - 1978*o wrt o. 170880 Find the second derivative of -h**3 + 50316*h**2 + 15*h + 17214 wrt h. -6*h + 100632 What is the third derivative of -4242*i**3*j**3 - 11*i**3*z + i**2*j*z + 1846*j**3 wrt i? -25452*j**3 - 66*z Find the second derivative of -14*q**4 - 9*q**3 - 9*q**2 - 64409*q wrt q. -168*q**2 - 54*q - 18 Find the second derivative of 50192*n**3 + 85752*n. 301152*n Differentiate -3791230*g + 540942 wrt g. -3791230 Find the third derivative of 2*a*f*k**3 + 16*a*f*k + 137*a*f - 4*a*k**3 + 4*a + 7171*f*k**3 + 8*k**3 - 4*k**2 + 3*k wrt k. 12*a*f - 24*a + 43026*f + 48 What is the first derivative of -2*y**3 + 107*y**2 + 264*y + 65619? -6*y**2 + 214*y + 264 Find the third derivative of 26568*o**4 + 2*o**3 - 5*o**2 + 36501 wrt o. 637632*o + 12 Find the first derivative of 223021*u - 243331 wrt u. 223021 Differentiate 407337*m**2*o**4 + 6*m**2*o**2 - 2*m**2 - 3321034*m wrt o. 1629348*m**2*o**3 + 12*m**2*o What is the second derivative of 4*o**4 + 5003*o**2 + 1410055*o wrt o? 48*o**2 + 10006 Find the second derivative of 8*d*f**2*g*v - 24*d*f**2*g - d*f*g*v**2 + 36*d*f*g*v - 14*f**2*g*v**2 + 50*g*v**2 - g wrt f. 16*d*g*v - 48*d*g - 28*g*v**2 What is the derivative of -3*k*w**3 - 204*k*w**2 - 394*k - 3*w**3 - 2*w**2 - 588*w - 92 wrt k? -3*w**3 - 204*w**2 - 394 Find the first derivative of f*m*o - 152239*f*p**2 - 148*m*o*p**2 + 65*m*p + 2*o*p**2 + 2*p wrt f. m*o - 152239*p**2 Find the second derivative of -k**3*x**2 - 2949*k**3*x + 4*k**2*x**3 - 1977*k*x**3 - 8*k*x**2 - 2*x**3 wrt k. -6*k*x**2 - 17694*k*x + 8*x**3 What is the second derivative of 269*h**2*v**2 + 1573*h**2 - h*v**2 + 10*h - 203*v**2 - 8*v wrt h? 538*v**2 + 3146 Find the third derivative of j**2*w**3 - 299*j**2*w**2 - 9*j**2*w + 19593*w**6 - 12*w wrt w. 6*j**2 + 2351160*w**3 What is the first derivative of -904241*n - 891460? -904241 Find the first derivative of 4347*k**4 - 11*k*q + 48076*q - 1 wrt k. 17388*k**3 - 11*q Find the third derivative of 2316641*b**3 + 2426534*b**2. 13899846 What is the first derivative of 68741*b*v**2 + 171*v**2 - v + 84 wrt b? 68741*v**2 Differentiate 2*h*v**2 - 81587*h*v - 436097*h - 2*v**3 - 2*v with respect to v. 4*h*v - 81587*h - 6*v**2 - 2 Find the second derivative of -k**2*l**2*x + 26832*k**2*l*x - 45*k*l*x - 2*k*x + 2*l**2*x + 499*l*x wrt k. -2*l**2*x + 53664*l*x Find the second derivative of 404*b**2*q - 16*b**2 - 10552*b*q + b - 1 wrt b. 808*q - 32 Differentiate -5051247*f**3 - 664815 with respect to f. -15153741*f**2 Find the second derivative of -137168*j**3 + 104189*j wrt j. -823008*j Differentiate 4213*v**2 - 3*v + 11536. 8426*v - 3 Find the second derivative of -101*f**5 - 4*f**3 - 2*f**2 + 14234*f + 2. -2020*f**3 - 24*f - 4 Find the second derivative of -80763*l*r**2 - 296514*l*r + 2*l wrt r. -161526*l What is the third derivative of -3225*y**5 + 6*y**4 - 4*y**3 - 296873*y**2 wrt y? -193500*y**2 + 144*y - 24 Differentiate -217297*c**2*i**2 + 53667*i**2 - 2 wrt c. -434594*c*i**2 Find the third derivative of 235477*j**3 - 163713*j**2. 1412862 What is the third derivative of 102507*y**4 - 16*y**2 + 101*y - 11? 2460168*y Find the second derivative of -225680*r**2 - 249004*r. -451360 What is the third derivative of -2079*b**6*r - 760*b**4*r**3 + 67*b**2*r**3 + 28*b**2*r**2 + b + 2*r**2 - 154*r wrt b? -249480*b**3*r - 18240*b*r**3 What is the first derivative of -2*l**2*m + 748877*l**2 - 3*l*m + 165*m wrt m? -2*l**2 - 3*l + 165 Find the third derivative of 214488*w**3 + 123588*w**2 wrt w. 1286928 Differentiate 104479*t*x**2 - 3*t*x*y - 239*x**2 + 852*x*y wrt t. 104479*x**2 - 3*x*y What is the first derivative of 2*f**2*u + 1128*f**2 + 11*f - 17053*u - 1 wrt f? 4*f*u + 2256*f + 11 Find the second derivative of -5003*d**2*k**3 + 32193*d**2*k + 3*d*k**3 wrt k. -30018*d**2*k + 18*d*k Find the first derivative of 118*c*o**3 - 1436659*c - 4280*o**3 wrt o. 354*c*o**2 - 12840*o**2 Differentiate 35*f*n**2 + 149*f*n*x + f*n + 3*f - 2*n**2*x + n*x + n + 105*x - 342 with respect to x. 149*f*n - 2*n**2 + n + 105 What is the third derivative of 171662*c**4 + 4*c**2 + c + 1656 wrt c? 4119888*c What is the first derivative of 94543*x**3 + 69424? 283629*x**2 What is the derivative of 14*o**4 - 2315*o**2*r**2 + 146015*r**2 wrt o? 56*o**3 - 4630*o*r**2 What is the third derivative of -3266705*c**2*f**3 - 2*c**2*f + 19*c*f**2 + 27349*f**2 wrt f? -19600230*c**2 What is the derivative of n*x - 889713*n - 198940*x**2 wrt x? n - 397880*x Differentiate -5746*f**2*v - 40693*f**2 + 4*f*v wrt v. -5746*f**2 + 4*f What is the third derivative of f**2*k**3 + 53146*f**2*k + 58*f*k**3 + 2*f*k**2 - 567*k**3 wrt k? 6*f**2 + 348*f - 3402 What is the third derivative of -m**3*q**3 + m**3*q**2 + 13125*m**3*q + 2*m**2*q**3 + 1519*m**2*q**2 - m**2 + 5*q**2 wrt m? -6*q**3 + 6*q**2 + 78750*q What is the third derivative of 15034*x**6 + 8*x**4 - 58298*x**2? 1804080*x**3 + 192*x What is the second derivative of 2342*a**3*t**2 - 16*a**3 + a**2*t**2 - 22*a*t**2 - 215*a*t wrt a? 14052*a*t**2 - 96*a + 2*t**2 What is the third derivative of -5290*n**3*q**3 - 8430*n**3*q + 2*n**2*q**2 - n*q**2 - n - 175*q**3 - 4*q wrt q? -31740*n**3 - 1050 What is the second derivative of -27621*c**2*f*p + 24*c*f*p - 9*c + f*p - p wrt c? -55242*f*p What is the third derivative of 74815*d**3 - 3048*d**2 + 6 wrt d? 448890 What is the third derivative of 26*a**4*d**2 + 840*a**3 + 576*a**2*d**2 - 59*a*d**2 wrt a? 624*a*d**2 + 5040 Find the second derivative of -23545*i**5 - i**4 - 4*i**2 - 1129500*i. -470900*i**3 - 12*i**2 - 8 Differentiate -1675190*k**3*t + 51*k**3 + 5143*k wrt t. -1675190*k**3 What is the first derivative of 63181*r**2 + 55199? 126362*r Find the first derivative of 5*o*s - 67966*o - 3829*s**2 wrt s. 5*o - 7658*s What is the first derivative of -928964*i - 917949? -928964 Find the second derivative of 140*g**3*x - 15*g**2*x + 5*g**2 + 20471*g*x - 2*x wrt g. 840*g*x - 30*x + 10 What is the third derivative of 4460*g**2*y**3 + 80*g**2*y**2 - 47*g**2*y + 3*g*y**3 + 4*g*y**2 + 37*y**3 + 4 wrt y? 26760*g**2 + 18*g + 222 Find the second derivative of -1363293*u**2*w**3 + 4050681*u**2*w wrt w. -8179758*u**2*w What is the derivative of 7*t**3 - 124*t**2 - 8*t + 21458? 21*t**2 - 248*t - 8 Differentiate 104*m**4 - m**3 + 2*m**2 - 110*m + 155451 wrt m. 416*m**3 - 3*m**2 + 4*m - 110 Find the second derivative of 140*b*q**2*x + 38*b*q**2 - 3*b*q*x - b*q - q**2*x - 7*q**2 - 13591*q + 4*x wrt q. 280*b*x + 76*b - 2*x - 14 What is the second derivative of -2*k**3*m + 2344*k**3*p + k*m*p - k*p - m*p + 2228*p wrt k? -12*k*m + 14064*k*p What is the third derivative of 410835*z**3 + 1806144*z**2 wrt z? 2465010 What is the second derivative of -18081*b**3 - b**2 + 3566*b + 25? -108486*b - 2 What is the third derivative of 132*b**5 + 1692*b**3 - 177*b**2 - 1000*b? 7920*b**2 + 10152 Differentiate 2*k**2*w**2 - 47*k**2*w - k*w**2 + 165*k + 443749*w**2 with respect to k. 4*k*w**2 - 94*k*w - w**2 + 165 Find the first derivative of -9193*b**3 + b**2 + 12*b - 831532. -27579*b**2 + 2*b + 12 Find the second derivative of 552162*n**2 + 122373*n. 1104324 What is the third derivative of -465141*n**4 + 2*n**2 - 22160*n? -11163384*n Find the second derivative of -5364*v**2*y**4 + 11*v**2*y**2 - 174*v**2 - 6301*v*y wrt y. -64368*v**2*y**2 + 22*v**2 What is the second derivative of 393*b*r**2*v - 6*b*r*v + b*r + 227*r**2 - 33*r*v - 2*r + 1 wrt r? 786*b*v + 454 Differentiate g**2 + 11474*g - 1507 with respect to g. 2*g + 11474 What is the second derivative of 40045*k**4 + 4942319*k? 480540*k**2 What is the third derivative of 9*u**3*v**4 - 8*u**3*v**2 + 2*u**3 + 91*u**2*v**3 + 2*u**2*v**2 - v**4 + 6343*v wrt v? 216*u**3*v + 546*u**2 - 24*v What is the second derivative of -471878*b**3*w**2 - b**3*w - b**2*w**5 + 27366*b**2 wrt w? -943756*b**3 - 20*b**2*w**3 Find the second derivative of 325447*p**5 + 128437*p - 2. 6508940*p**3 What is the second derivative of -3471405*d**3*p**2 + 103441*d**3*p wrt p? -6942810*d**3 What is the second derivative of -2406083*f**2 - 2717859*f? -4812166 Differentiate -3*h**3*k + h**3 - 17170*h**2*k**2 - 248*h**2 + 8 with
{ "pile_set_name": "DM Mathematics" }
z*s**3 + n + w*s + k*s**2 and give z. -3 Rearrange 2*f**3 + f**4 - 1 - 4*f**3 - 5*f**2 + 6*f**2 to the form r + g*f**3 + n*f**2 + i*f + p*f**4 and give r. -1 Express (3*s**2 + 4*s**2 + 0*s**2)*(-3*s + 3*s + 10*s**2)*(1 + 1 - 5) as f*s**2 + q*s + z + b*s**4 + h*s**3 and give b. -210 Rearrange (-34*j + 251*j + 10*j)*(-2*j + 3*j - 3*j) + 2*j**2 - 5*j**2 + 5*j**2 to the form u + q*j + w*j**2 and give w. -452 Rearrange (0 - 1 - 1)*(4 + 3 - 27)*(v**3 - 3*v**3 + 0*v**4 - v**4) to s*v + i + u*v**4 + h*v**2 + k*v**3 and give u. -40 Rearrange 2*q**2 - 10*q**3 + 1 + 12*q**3 + q**4 + 1 - 2*q to the form y*q + a*q**3 + o*q**4 + l + n*q**2 and give o. 1 Rearrange -1227 + 1227 + 2*o**2 + 2*o**4 + 2*o - 2*o**3 to the form w*o + i*o**2 + r + p*o**4 + b*o**3 and give i. 2 Rearrange 2*m**4 + 4*m**3 - 3*m**2 + m - 13 - 4*m**4 + m + 10 to o*m + n + k*m**4 + b*m**2 + x*m**3 and give n. -3 Rearrange (s**2 - 2*s**2 + 0*s**2)*(-4*s**2 - 12*s + 3*s**2 + 3*s) to the form o*s**4 + l*s**2 + h + w*s + y*s**3 and give o. 1 Express (6*m + 7*m + 5*m)*(-m**3 - 2*m**2 + 2*m**2) in the form k + f*m**2 + l*m**4 + w*m**3 + b*m and give l. -18 Rearrange -15*i**3 + 19*i**3 - 2*i - i + i**2 to the form s*i**2 + g*i + h + v*i**3 and give g. -3 Express -1 + 3*h + 1 - h + 2 - 2 - 3*h + 4*h + h + (-1 + 4 - 4)*(h + h - 3*h) + h + 0 + 0 - 3*h - 2*h - 5*h + h + 4*h - 3*h as q + i*h and give q. 0 Rearrange 5*w**2 + 3*w**2 - 9*w**2 to p*w + j + d*w**2 and give d. -1 Rearrange -18*r + 8*r + 9*r + 27 to i + c*r and give i. 27 Express -4*k**3 + 2 + 7*k**3 - 2*k**3 - 2*k**2 as y*k**3 + o*k**2 + p*k + g and give o. -2 Rearrange -26*b**3 + 11*b**3 + 3 - 5 to l*b**3 + o + p*b + n*b**2 and give n. 0 Express (-5*x + 2*x + 2*x)*(2 - 2 + 2*x**2) + (-x - 5*x + 4*x)*(-5*x**2 + 6*x**2 + x**2) as q*x**2 + p*x + r*x**3 + k and give p. 0 Express 9 + 5*p**2 - 9 as l + x*p + k*p**2 and give k. 5 Express -5*u**3 + 2*u**2 + 7*u**3 + u**3 + u**4 - u**3 as b*u**3 + z + j*u**2 + h*u**4 + r*u and give b. 2 Rearrange (175 - 210 - 2*k + 0*k)*(0*k + k - 3*k) to the form x*k + r*k**2 + u and give x. 70 Rearrange -27*o - 24 - 33 + 57 to the form b*o + n and give b. -27 Express 23*s**2 + s**3 - 52*s**2 - 1 + 26*s**2 in the form a*s**3 + r + z*s + c*s**2 and give r. -1 Express -y + 16 - 16 + y**3 as i*y**3 + a + f*y + b*y**2 and give b. 0 Express (-2*j - j + 0*j)*(-18*j + 29*j - 19*j + (2*j + 1 - 1)*(3 + 2 - 6)) as k*j**2 + y + d*j and give y. 0 Express ((-1 - 1 + 1)*(-1 - 1 + 3) - 341 + 78 + 29)*(-6*h + 2*h + 3*h) as k + j*h and give j. 235 Express 2*m - m - 3*m + 2*m - 3 + 3 + (8 + 10 + 2)*(0 - m + 0) as c*m + l and give c. -20 Express 2*a**2 + 9*a - 2*a**4 - 4*a**2 + 5*a**4 - 5*a**4 as i*a**2 + b*a**3 + o*a**4 + t*a + p and give i. -2 Express ((4 + 5 - 3)*(-2*l + l + 2*l) + 1 - 1 - l)*(l + 0*l + 6*l) in the form v + s*l**2 + f*l and give s. 35 Express 13*m**3 + 2 - 5*m**3 - 6 in the form u + l*m**3 + z*m + t*m**2 and give u. -4 Rearrange -3*w - 62 + 62 + (2 + 0 + 0)*(3*w - 4*w + 3*w) to the form l + p*w and give p. 1 Rearrange (-11 - 5 + 3)*(-1 + 3 - x - 1)*(0*x - x - 6*x) to the form u + j*x**2 + n*x and give n. 91 Express 3*p**4 - p**3 - 3*p + 6*p - p in the form w*p**3 + m + a*p**2 + b*p**4 + q*p and give w. -1 Rearrange (2 + 1 - 4)*(-1 + 3 - 1)*(-3*b - 14*b + 2*b) to o + k*b and give k. 15 Rearrange 70*r**3 + 0*r - 2*r**2 - 2*r**4 - 65*r**3 + r to the form m*r**2 + w*r**3 + a*r + t*r**4 + u and give w. 5 Rearrange -2*m + m + 2*m + 1 - 1 - m - 2*m + 0*m + 3*m + (m + 5*m - 5*m)*(4 - 3 + 0) + 6*m - m - 3*m + 0*m - m - m to the form u*m + k and give u. 2 Rearrange (-2*p + 0*p + 3*p + (-5 + 6 + 1)*(0 + 0 + 2*p) - p - 3*p + 6*p)*(6 - 11 - 3) to t*p + h and give t. -56 Express (-86*u + 1050 - 1050)*(-u + 0*u + 3*u) as h*u**2 + k*u + l and give h. -172 Rearrange -4*h**3 + 36 - 20 + 73 + 5*h**3 to k + q*h + d*h**3 + z*h**2 and give d. 1 Rearrange (1 + 2 - 2)*(-3 + k + 3) + (4 - 4 - 2)*(3 + 2*k - 3) - 3*k - 15*k - 2*k to the form r + p*k and give p. -23 Rearrange (0 - 3 + 1)*(3 + i**2 + 5 + i**2) to w*i + y*i**2 + j and give j. -16 Rearrange -3*j - 3 + 3 + (-1 + 1 - 2)*(-2*j + 3 - 3) - 3 + 2*j + 3 + j - 4*j + j + 4*j - 4*j + 2*j to x + o*j and give o. 3 Express -4*f**4 - 2*f**2 - 6*f**3 + f**3 - 3*f**3 + 9*f**3 + f as a + w*f + g*f**2 + s*f**4 + k*f**3 and give k. 1 Rearrange -17*n + 21*n + 18*n + 24*n to r + j*n and give j. 46 Rearrange -3*s**3 + 2*s**2 - 4*s**3 + 6*s**3 to d*s**3 + n*s**2 + q + h*s and give d. -1 Express -3*w**2 - 67*w + 68*w + w**3 + 7*w**4 + 2*w**2 as m*w**2 + i*w**4 + u*w**3 + g*w + z and give m. -1 Rearrange (-1221*s + 2 + 625*s + 501*s)*(-2*s**2 + 2*s**2 + 2*s**2) to the form y*s + f + x*s**3 + h*s**2 and give x. -190 Rearrange (0 - 2*f + 0)*((0 + 0 - 2)*(4 - 2 - 1) - 19 + 18 - 30) to a*f + r and give a. 66 Rearrange 45*a**2 - 55*a**2 + 26*a**2 to q + i*a + x*a**2 and give i. 0 Express 1 - 2 - w + 0 + (5*w - 4*w + 3*w)*(0 - 2 + 3) in the form m*w + f and give m. 3 Rearrange (-2 - 4 + 4 + (1 + 1 + 0)*(2 - 1 + 1) + 1 - 3 - 5)*(4*y - 4*y - y**2) to the form w + f*y + t*y**2 and give t. 5 Express -2*l**4 - 2 + 2*l**2 + 2 - 2*l**3 - 1 as t*l**4 + n*l**3 + a*l + y + b*l**2 and give t. -2 Express 2*i**2 - 3*i**2 + 4*i**2 - 3*i**2 + 3*i**2 - 2*i**2 + (4*i - i + 0*i)*(-2*i + 3*i + 2*i) - 2 + 2 - i**2 in the form r + o*i**2 + w*i and give o. 9 Rearrange (-3 + 0 + 2 + (1 - 1 + 1)*(0 - 6 + 4))*(6 - 8 - 30*v + 4*v) to the form l + q*v and give q. 78 Express -3 - 387*w**3 + w + 387*w**3 - w**4 as l*w + a + r*w**4 + d*w**2 + j*w**3 and give d. 0 Rearrange (-4*k + 40*k + 69*k + 11*k)*(-3 - 1 + 5) to t + u*k and give u. 116 Express (-2*x**2 - 6 + 6)*(-2*x**2 + 2*x**2 - 8*x**2) as k + y*x + u*x**3 + t*x**2 + q*x**4 and give q. 16 Rearrange (-3 + 3 + s)*(-7 + 2 + 1) + (-2 + 2 + 1)*(0*s + 0*s + 5*s) to z + w*s and give w. 1 Express (0 - 1 + 3)*(2*c**2 - c - 8*c**2 - 2*c**2) as f*c + v*c**2 + d and give f. -2 Rearrange -8*s + 2 - 16*s - 2*s + 2*s to the form j*s + z and give z. 2 Express 28*t**2 + 45 - 45 in the form p + l*t + k*t**2 and give k. 28 Express -3*h**2 - 2*h + 8*h**3 - 14*h**3 + 2 + 14*h**3 as i*h**2 + d + z*h + w*h**3 and give w. 8 Express -1070*i**2 + 2*i**3 - 126 + 2*i**4 + 1070*i**2 as g + s*i + b*i**4 + l*i**2 + d*i**3 and give b. 2 Express 3*p**3 - 3*p - 2*p**4 + 5*p - 3*p**2 + 2*p**2 + p**4 in the form u*p**4 + v*p**2 + h*p**3 + t + j*p and give j. 2 Rearrange 0*u**2 + 5*u**2 + 2*u - 3*u**2 + 2*u**3 to the form i*u**3 + m*u + f + x*u**2 and give x. 2 Rearrange (-v + 5*v - 2*v)*(-87*v - 6*v**2 + v**2 + 101*v) to the form k*v + t + j*v**2 + i*v**3 and give i. -10 Rearrange 23 - 40 - f**4 - 2*f**3 + 2*f**2 + 16 to a*f**3 + n + u*f**4 + y*f + t*f**2 and give n. -1 Express 6*m**3 + 5*m**3 - 5*m**2 - 10*m**3 in the form b*m**2 + g*m + l*m**3 + w and give b. -5 Express 9 + 11 - 18 - 2*h + 1 in the form m + x*h and give m. 3 Express (-7*u - 17*u + 9*u)*(2*u - 2*u + u) in the form t + x*u + a*u**2 and give a. -15 Rearrange (2 + 1 - 5 + (0 + 0 + 4)*(4 - 2 - 1))*(2 + l - 2) to the form f*l + w and give f. 2 Express 0 + 2 + 57*g**2 - 49*g**2 in the form l + m*g + k*g**2 and give k. 8 Express i**4 - 6*i**3 + 0*i - 4*i - 1 + 7*i as r*i**3 + g*i**4 + m*i**2 + w + x*i and give w. -1 Rearrange 25 - 45 + 21 - 22*p**2 to c*p**2 + a*p + k and give k. 1 Express -19*n**2 + n - n + 2 + 21*n**2 in the form d*n**2 + l*n + s and give d. 2 Express 6 + 28*n - 1 - 5 in the form j + t*n and give t. 28 Rearrange ((-4*d + 0*d + 2*d)*(-1 + 2 + 0) + 4 + 5*d - 4)*(1 + 1 - 5)*(1 - 1 + 2*d**3) to the form n + t*d**4 + z*d**2 + q*d**3 + h*d and give t. -18 Express 8*v**3 - 3 + 2*v + 1 - 7*v**3 + 3*v**2 as j + c*v + a*v**3 + b*v**2 and give a. 1 Express (0*c**2 + c**2 - 4*c**2 + (-c - 3*c + 5*c)*(c + c - 4*c) - 2 + 2 + c**2)*(-5*c - 2*c**2 + 5*c) as k*c**4 + m*c + o*c**3 + j + t*c**2 and give k. 8 Express (2*w**2 + 2*w**2 - 2*w**2)*(w + 0*w + 0*w) + 2*w - 2*w + 3*w**3 + (0*w + 2*w - 4*w)*(-w + w + w**2) as a*w**3 + d + b*w**2 + u*w and give a. 3 Rearrange -3*h**2 + 3*h**2 - h**2 to j + z*h + a*h**2 and give j. 0 Rearrange 0*g**3 - g**4 - 2*g**3 - 2*g**2 + 6*g - 5*g to the form k + c*g**2 + t*g**3 + q*g**4 + y*g and give q. -1 Rearrange 2*k**3 + 2*k + 12 - 5*k**2 + 4*k**2 - 19 to the form l*k**2 + r*k + z + i*k**3 and give i. 2 Rearrange
{ "pile_set_name": "DM Mathematics" }
**3 + 0 + 6/5*d = 0. 0, 1, 2 Let m = -522 + 524. Let g be (8 - 0)/(3*m/3). Solve -1/2 + 4*l**g - l**3 - 7/2*l**2 + 11/4*l - 7/4*l**5 = 0. -1, 2/7, 1 Solve 35*h**3 + 49*h - 258*h**4 - 41*h - 38*h + 208*h**4 + 55*h**2 = 0 for h. -1, 0, 1/2, 6/5 Let m(z) be the second derivative of -48/7*z**2 - 38/3*z**4 + 4*z - 4 - 7/5*z**5 + 328/21*z**3. Factor m(s). -4*(s + 6)*(7*s - 2)**2/7 Let i(h) be the first derivative of 2*h**3/11 - 258*h**2/11 - 96*h + 808. Find w, given that i(w) = 0. -2, 88 Let h = 245 + -1212/5. Let z be (-6)/((360/108)/(16/(-18))). Factor -6/5 - z*t**2 + h*t + 1/5*t**3. (t - 6)*(t - 1)**2/5 Let s be (0 + 3 - 5) + 8/2. Suppose 0 = 3*z + s*j + j, 20 = z - 3*j. Determine t so that -59*t**z + 4*t**4 - 6*t**2 + 2*t**3 + 57*t**5 + 2*t**2 = 0. -1, 0, 1, 2 Determine l, given that -39/4*l + 1031/8*l**3 - 387/8*l**4 - 721/8*l**2 - 5/8*l**5 + 20 = 0. -80, -2/5, 1 Suppose -14874 + 3*h**2 - 7959 - 420*h + 37533 = 0. Calculate h. 70 Let h be 7 + 5*5*(-4)/50. Find v, given that 140*v**3 - 16*v**2 - 14*v**4 + 3*v**5 - 63*v**3 - 49*v**3 - v**h = 0. 0, 1, 2, 4 Suppose -97*y + 23*y + 86 = -31*y. Suppose -2/13*m**3 + 16/13*m**y - 2/13*m**4 + 24/13*m + 0 = 0. Calculate m. -2, 0, 3 Let p = -30 + 91. Let h = -59 + p. Factor 101*a**h + 45*a - 40 + 104*a**2 - 210*a**2. -5*(a - 8)*(a - 1) Solve 111 - 51 - 5*z**2 + 523 + 2 + 580*z = 0 for z. -1, 117 Suppose -1 = q + 3*o, -4*q + 8 = 4*o - 4. Suppose q*n = -5*n. Determine s so that n*s**3 - 12 - 2*s**3 + 3*s**3 + 4*s - 5*s**3 + 12*s**2 = 0. -1, 1, 3 Let f(p) be the first derivative of 5*p**6/6 + 8*p**5 - 55*p**4/4 - 890*p**3/3 - 1010*p**2 - 1400*p + 873. Let f(k) = 0. What is k? -7, -2, 5 Let n(m) be the first derivative of 71*m**2 + 0*m - 124 - 2/3*m**3. Solve n(j) = 0. 0, 71 Let c(a) be the third derivative of 0*a - 2/105*a**6 + 0 - 2/7*a**4 + 34*a**2 - 11/105*a**5 - 3/7*a**3 - 1/735*a**7. Suppose c(o) = 0. Calculate o. -3, -1 Let g**2 - 57/7*g + 50/7 = 0. Calculate g. 1, 50/7 Let m(q) be the third derivative of q**7/420 + q**6/120 - q**5/40 - q**4/6 - q**3/3 - 304*q**2. Let m(x) = 0. What is x? -2, -1, 2 Suppose 0 = 6*g + 130 + 32. Let l be -5 - (2 + 18/(-10))*g. Determine p so that -2/5*p**2 + 0 - l*p = 0. -1, 0 Let n = 26583 - 106329/4. Let v(c) be the first derivative of -3 + 0*c + 1/5*c**5 + n*c**4 + 2/3*c**3 + 0*c**2. Suppose v(g) = 0. What is g? -2, -1, 0 Let k = -19464 + 19468. Let n(i) be the second derivative of -1/20*i**5 + 1/6*i**k + 13*i + 0 + 0*i**3 + 0*i**2. Factor n(c). -c**2*(c - 2) Let p(g) be the second derivative of -g**5/90 + 13*g**4/54 - 35*g**3/27 - 49*g**2/9 + 257*g. Suppose p(m) = 0. Calculate m. -1, 7 Let -57/5*x**2 + 93/5*x**4 + 103/5*x**3 - 36/5 + 9/5*x**5 - 112/5*x = 0. What is x? -9, -1, -2/3, 1 Let u(a) be the first derivative of -2*a**5/15 + 26*a**4/3 + 440*a**3/9 + 224*a**2/3 + 3163. What is k in u(k) = 0? -2, 0, 56 Suppose 0 = 22*y + x - 2, -y - 86*x + 6 = -83*x. Find o such that y - 4/11*o - 2/11*o**2 = 0. -2, 0 Let z(a) = -11*a**2 + 12*a - 19. Suppose 62 = 17*p - 74. Let i(o) = -31*o**2 + 37*o - 54. Let s(k) = p*z(k) - 3*i(k). Determine y so that s(y) = 0. 1, 2 Let f = 27/472 + 563/472. Factor -5/2*x - f - 5/4*x**2. -5*(x + 1)**2/4 Find v, given that -428*v**3 - 16/3*v**5 + 220/3*v**2 + 108 + 348*v - 96*v**4 = 0. -9, -1/2, 1 Let k(h) = -h**2 + 6*h + 1. Let u be k(8). Let m = u - -18. Factor -1 + 1 - 6*j**2 + 5*j - 2*j + 3*j**m. 3*j*(j - 1)**2 Let m(u) be the second derivative of -u**7/840 + u**6/96 - u**5/40 - 39*u**2 - 9*u + 11. Let q(b) be the first derivative of m(b). Let q(o) = 0. What is o? 0, 2, 3 Let b(t) = 10*t + 26. Let k be b(-2). Let w(v) be the third derivative of 0*v**4 + 1/14*v**7 + 1/20*v**5 + 3/20*v**k + 0*v - 7*v**2 + 0*v**3 + 0. Factor w(c). 3*c**2*(c + 1)*(5*c + 1) Let m(d) be the second derivative of -2*d**7/21 + 32*d**6/15 - 3*d**5 - 94*d + 3. Let m(x) = 0. Calculate x. 0, 1, 15 Let v(a) be the third derivative of a**7/42 - a**6/3 + 2*a**5/3 + 20*a**4/3 - 40*a**3 - 79*a**2 + 2. Factor v(j). 5*(j - 6)*(j - 2)**2*(j + 2) Solve 82*s**3 + 2906*s + 2948*s + 76*s**2 - 6014*s + 2*s**4 = 0. -40, -2, 0, 1 Let m(r) be the second derivative of -r**5/100 + r**3/10 - 34*r**2 + 102*r. Let l(s) be the first derivative of m(s). Find f, given that l(f) = 0. -1, 1 Let m = 9 - 3. Let x(d) be the first derivative of -9/5*d**5 + 5/8*d**m - 1/2*d**3 + 0*d**2 + 8 + 0*d + 27/16*d**4. Determine c, given that x(c) = 0. 0, 2/5, 1 Suppose -15102*g + 84 = -15074*g. Let c(o) be the third derivative of 1/30*o**4 - 2/75*o**5 + 0 + 1/150*o**6 + 0*o + 0*o**g - 29*o**2. Factor c(f). 4*f*(f - 1)**2/5 Suppose 15*s - 30 = -4*v + 13*s, -4*v - 5*s + 63 = 0. Factor 9/4*q**3 + 15/4*q**v - 3 - 3*q. 3*(q - 1)*(q + 2)*(3*q + 2)/4 Let a(l) = l**2 - 14*l - 119. Let t be a(-6). Suppose -4*k - 2*g = -105 + 103, -5*k + t = g. Suppose x**3 + 1/2*x**2 + 1/2*x**4 + 0*x + k = 0. What is x? -1, 0 Factor -272*d + 50/3*d**2 + 888 + 2/3*d**3. 2*(d - 6)**2*(d + 37)/3 Determine q so that 132*q**2 + 7*q**3 + 955 + q**5 - 144*q - 3*q**4 - 955 - 35*q**3 = 0. -6, 0, 2, 3, 4 Let v be 15/(-45) - ((-42)/36 + (-1)/(-3)). Let m(p) be the second derivative of v*p**6 + 0*p**2 - 5/3*p**3 + 1/2*p**5 + 0 - 30*p - 5/4*p**4. Factor m(l). 5*l*(l - 1)*(l + 1)*(3*l + 2) Suppose 24 = -4*i - 4*l, 5*i + 46 = -2*l + 43. What is p in -12/5 - 12/5*p**2 - 2/5*p**i - 22/5*p = 0? -3, -2, -1 Let v(c) = 6*c**2 + 5002*c + 4958. Let w(b) = -31*b**2 - 25031*b - 24791. Let k(n) = 11*v(n) + 2*w(n). Factor k(q). 4*(q + 1)*(q + 1239) Let y(p) be the second derivative of p**4/4 + 341*p**3 + 348843*p**2/2 + 2611*p. Suppose y(v) = 0. Calculate v. -341 Let w(r) = r**2 + r - 5. Let t(a) = 3*a**3 - 17*a**2 + 26*a - 5. Let c(j) = -2*t(j) + 6*w(j). Let c(o) = 0. What is o? -1/3, 2, 5 Let u = -315889 - -315894. Factor 4/13*y**u + 0*y - 2/13*y**3 - 2/13*y**4 + 0 + 0*y**2. 2*y**3*(y - 1)*(2*y + 1)/13 Suppose 35*s = 58*s - 345. Factor 4*m**2 - 15*m - 2*m**2 - 4*m**2 + 34*m - s*m. -2*m*(m - 2) Let c = 3/5587795 - -17506557547/7800561820. Let t = c + 2/349. Factor 3/2*h - 3/4*h**4 + 0 - 3/4*h**5 + t*h**3 + 15/4*h**2. -3*h*(h - 2)*(h + 1)**3/4 Let v(t) be the third derivative of -1/5*t**5 + 0 + 2*t - 39*t**2 - 8/3*t**4 + 8*t**3. Factor v(n). -4*(n + 6)*(3*n - 2) Let z(k) be the first derivative of -k**6/288 - k**5/30 - k**4/32 + 79*k**3 + 15. Let d(b) be the third derivative of z(b). Factor d(c). -(c + 3)*(5*c + 1)/4 Let p be (-186)/31 + (1 - -7). Let 48*z**3 + 76 + z**4 + 888*z**2 - 120*z**p - 76 + 4096*z = 0. Calculate z. -16, 0 Let d(g) be the third derivative of 0 - 17/84*g**4 + 1/210*g**5 - 29*g**2 + 11/21*g**3 + 1/84*g**6 + 0*g. Let d(t) = 0. Calculate t. -11/5, 1 Factor -18*r + r**5 - 30 - 20*r**2 + 187758*r**4 + 0*r**5 - 47*r - 187748*r**4 + 30*r**3 - 6*r**5. -5*(r - 3)*(r - 2)*(r + 1)**3 Let n = 119213/7 + -17027. Factor n - 24/7*z**2 - 3/7*z + 3/7*z**3. 3*(z - 8)*(z - 1)*(z + 1)/7 Suppose -72 - 72 = -18*b. Let a = -5 + b. Factor 2*n**4 - n**4 + 0*n - 16*n**2 + 15*n**2 + 3*n - a*n**3. n*(n - 3)*(n - 1)*(n + 1) Let s = 315 - 126. Let m = 5436 - 5434. Determine g, given that 57 - s*g - 4*g**3 - 45*g**m + g**3 - 204 = 0. -7, -1 Let m(y) be the first derivative of 32/5*y + 56/15*y**2 + 2/15*y**3 - 1/5*y**4 - 2/75*y**5 + 122. Determine g, given that m(g) = 0. -4, -1, 3 Let l(j) be the first derivative of -3*j**5/5 - 93*j**4 - 4084*j**3 - 22320*j**2 - 43200*j - 4868. Solve l(s) = 0 for s. -60, -2 Let d(r) = 15*r**2 + 6*r + 12. Suppose -3*x + 2*q = -q - 15, 5*q = 4*x - 24. Let s(g) = -15*g + 5*g - 1 + 9*g - g**2. Let w(l) = x*d(l) + 12*s(l). Factor w(o). 3*o*(o - 2) Suppose 5*j - 20 = -z, z + 229 = j + 225. Suppose 4/5*p**3 - 16/5*p**2 + 0 + z*p = 0. Calculate p. 0, 4 Let u(j) = 2*j**2. Let q(g) = -10*g + g + g - 2 + 8 + 24*g**2. Let y(v) = 2*q(v) - 22*u(v). Factor y(x). 4*(x - 3)*(x - 1) Suppose -6448/3*k**2 - 1088/3 + 2896/3*k**3 - 7/3*k**5 + 1808*k - 144*k**4 = 0. What is k? -68, 2/7, 2 Let i(a) = 2*a**3 - 9*a**2 - 8*a + 15. Let q(z) = -z**3 + 4*z**2 + 4*z - 7. Suppose 0 = 3*v - c - 12, v - 4*c = 13 + 2. Let g(o) = v*i(o) + 7*q(o). Factor g(n). -(n - 2)*(n - 1)*(n + 2) Suppose 342/7*d**3 + 0 - 80/7*d**2 + 2*d**5 - 8*d - 220/7*d**4 = 0. What is d? -2/7, 0, 1, 14 Let g(a) = -101*a**2 + 2*a + 2. Let f be g(-1). Let b = f + 102. Find m such that 0 - 14*m**2
{ "pile_set_name": "DM Mathematics" }
se j - o = -w*j. Is j a multiple of 12? True Let a(z) = -z**3 + 16*z**2 + 17*z + 20. Is 7 a factor of a(15)? False Suppose 5*w + 3*u - 1085 = 159, 1003 = 4*w + 5*u. Does 14 divide w? False Let g(u) = 6*u - 1. Suppose -3*j = -0*j + 4*h - 19, 3*j - h = -1. Let v be g(j). Suppose -v*y + 270 = -0*y. Does 27 divide y? True Let w(t) be the third derivative of 1/120*t**6 + 0*t + 1/6*t**5 - 1/8*t**4 + 2*t**2 + 0 - 7/6*t**3. Does 23 divide w(-10)? True Let n(g) = 238*g - 60. Is 13 a factor of n(2)? True Suppose -13*s - 11*s = -12144. Does 11 divide s? True Let g be (-96)/(-9) + (-4)/6. Suppose -672 - 348 = -g*c. Does 34 divide c? True Suppose 0*x = -8*x + 32. Suppose c = 5, -2*h = -0*h - x*c + 2. Is 3 a factor of h? True Does 2 divide 2/4 - ((-796)/8 + 5)? False Suppose -2*x = -4*f - 644, -2*x + f = -3*x + 334. Is x a multiple of 22? True Let k = 118 + -58. Is 24 a factor of (15/k)/(2/872)? False Suppose 5 = -m + 2*g - 3*g, 0 = 4*g + 12. Let x = m + 33. Is 17 a factor of x? False Let j(v) = 18*v - 2. Let l be j(1). Let w(b) = -b**2 + 15*b + 24. Does 3 divide w(l)? False Let v(t) = -10*t**3 - 5*t**2 - 5*t - 4. Let l be v(-4). Suppose -6*d + l = -3*d. Suppose 10*z = 2*z + d. Is z a multiple of 6? True Let p(k) = -k**3 - 8*k**2 - 12*k - 3. Let c be p(-6). Let s(l) = -l**2 + 2*l. Let i(f) = f + 1. Let u(a) = -3*i(a) - s(a). Is u(c) a multiple of 7? True Let v(u) = -u**3 + 12*u**2 + 15*u + 9. Let r be v(13). Is 4 a factor of (-2)/5 - (-154)/r? True Let g be 289/2 - (-4 + -4)/(-16). Suppose -61*z = -67*z + g. Does 4 divide z? True Let t = 64 + -150. Is (-2 - -4)/(-2) - t a multiple of 17? True Does 65 divide (-880)/132*(1456/(-10) + -2)? False Suppose 8*a = 13*a - 35. Does 6 divide 1250/35 - (-2)/a? True Let o = 808 - 582. Does 3 divide o? False Let x be (-1)/(1*(-2)/8). Suppose 0 = -0*o - 4*o + 4*q + 208, 0 = o - x*q - 43. Is o a multiple of 11? True Let a(z) = -z**3 - z**2 - 3*z - 1. Let l be 6/(6*(-3)/(-24)). Suppose -5*h = l + 7. Does 13 divide a(h)? True Let h(b) = -b**3 - 3*b**2 + 4*b + 12. Let c(n) = n**3 - 6*n**2 + 7*n - 1. Let t be c(3). Does 15 divide h(t)? True Suppose -162 = 172*z - 199*z. Is 2 a factor of z? True Suppose 47*r - 53550 = 37*r. Does 33 divide r? False Let h(z) = z**2 - 19*z - 108. Does 6 divide h(25)? True Let y = -3 - 2. Let s(m) = -2599 + 2*m**2 + 1298 - m**2 + 1305. Does 16 divide s(y)? False Let b(m) = m**3 + 5*m**2 - 3*m - 6. Suppose 2*t = 6, 5*w + 4 = -4*t + 2*t. Let c be (w/5)/(7/70). Does 9 divide b(c)? False Suppose 0*i = 3*i - 4*j - 1425, -3*j + 475 = i. Let y = i - 210. Suppose -5*h = -0*h - y. Is h a multiple of 22? False Let m(n) = -13*n + 1. Let i be m(-2). Let y = i - 12. Is y even? False Let c(h) = 1 - 5*h + 7*h + 1 + 1. Let w(n) = -2*n - 4. Let z(a) = -6*c(a) - 5*w(a). Is z(-2) even? True Suppose -5*b = 3*b - 128. Let a = 33 - b. Is a a multiple of 3? False Let y be 3/(-18) - (-2521)/6. Suppose -2*o + y + 180 = 0. Suppose -o = 2*r - 6*r. Does 15 divide r? True Suppose -1520 = 17*f - 4223. Is f a multiple of 30? False Let i = -16 + 29. Let j(q) = -q**3 + 11*q**2 + 31*q - 7. Does 8 divide j(i)? False Let w be -24 - (-3 + 2 - -1). Let z = -12 - w. Suppose 5*i = 4*y - z - 63, 3*y = 5*i + 50. Does 17 divide y? False Let t = 461 + -276. Is 2 a factor of t? False Let o(n) = n - 1. Let k(d) = -73*d**2 + 2*d - 10. Let q(b) = -k(b) + 6*o(b). Is 14 a factor of q(-1)? False Suppose 12*z - 5893 = -1465. Is 57 a factor of z? False Suppose 0 = -3*b + f + 10, -2*b - 4*f + 2 = -0*f. Does 4 divide b/9 + (-235)/(-15)? True Suppose 0 = -7*y + 2*y + 280. Is y a multiple of 7? True Let n = 99 + 15. Does 23 divide n? False Suppose 3*v - 11 = 2*f - 2, -9 = -4*f - 3*v. Let a be 3 - ((-3)/3 + f). Suppose -a*i = -3*r + 8*r - 51, -5*r = i + 6. Is 15 a factor of i? False Suppose 2*d + 4*f - 2424 = 0, -4 = -3*f - 16. Is d a multiple of 10? True Let g = 2981 + -461. Is 36 a factor of g? True Let s = -13 + 60. Suppose 3*w - 502 = 4*h, -2*h - 609 - s = -4*w. Is w a multiple of 17? False Suppose 48 = 9*s - 3*s. Does 4 divide s? True Does 9 divide (-78 - 3)*-7 - 0/(-3)? True Let m = -6990 + 11385. Is m a multiple of 15? True Let n = 298 + 292. Is n a multiple of 14? False Suppose 8 = -2*j + 6*j. Suppose 2*t - 5*u + j = -12, 4*t = -2*u + 20. Is 40/t + 14/21 a multiple of 14? True Suppose 0 = 6*x - 10*x + 48. Suppose x*v = 15*v - 114. Is 38 a factor of v? True Is 20 a factor of (-65)/10*1312/(-8)? False Let g be 4/(-16)*0*1. Suppose 5*h - 156 - 179 = g. Is h a multiple of 17? False Let a(k) be the third derivative of -k**5/12 + 7*k**4/12 + 5*k**3/6 + k**2. Let b(w) = -w - 1. Let h(n) = -a(n) - 5*b(n). Does 10 divide h(5)? True Let h(a) be the second derivative of a**5/20 + 5*a**4/3 - 23*a**3/6 - 9*a**2 - a. Does 9 divide h(-21)? False Let p(a) = 6*a**2 - a. Let g be p(1). Suppose -h + 16 = -g*h. Is (h/1)/(1/(-10)) a multiple of 8? True Suppose -39 = 3*j - 324. Suppose -5*z - 4*s - 156 - 135 = 0, -296 = 5*z - s. Let h = j + z. Does 18 divide h? True Suppose -2*h = 2*y - 64 - 50, 2*h - y = 111. Is h a multiple of 28? True Suppose 0 = -4*r - 2*y - 6, 0 = -r + 3*y + 2*y + 15. Suppose f - 6*f + 240 = r. Let v = f - 28. Is v a multiple of 5? True Let f(g) = -2*g + 4 - 16 - 24 - 3*g. Let j be f(-18). Suppose -154 = -4*l - j. Is l a multiple of 9? False Let m be 4 - (2 + -2 + -2). Let f(j) = j**2 - 6*j + 1. Let y be f(6). Let c = m - y. Is 3 a factor of c? False Let u(l) = -32*l + 18. Let o = 85 + -90. Is u(o) a multiple of 17? False Let q = 494 - 270. Does 7 divide q? True Suppose 15429 = 4*a + 3*y, 5*a - 19280 = -7*y + 2*y. Does 7 divide a? False Let f(k) be the first derivative of -7*k**2/2 + 11*k - 34. Is 8 a factor of f(-6)? False Let w be 15/(-3)*(-1 - 22). Suppose -g = 5*o - w, -3*o + 5*g = -7*o + 113. Let b = o + -2. Does 5 divide b? True Suppose 6 - 26 = -5*x. Suppose -x*t + 4*c + 0*c - 440 = 0, -4*t + 5*c = 442. Let l = t - -155. Is l a multiple of 8? False Is (-18 + 3)/(-5) - (0 - 160) a multiple of 13? False Suppose 5*z - 3*z + 15 = -3*x, 2*z + x + 9 = 0. Let h be 10 - (2 + z + 3). Is (5*-1)/(h/(-16)) a multiple of 3? False Let h(a) = 19*a - 91. Is h(29) a multiple of 48? False Let v(w) = -15*w + 168. Is v(-15) even? False Let y(t) be the second derivative of 67*t**7/2520 + t**6/360 + t**5/120 + 7*t**4/12 + 4*t. Let m(c) be the third derivative of y(c). Is 22 a factor of m(-1)? True Let u = 17 + -2. Is (1 - u)*(-14)/4 a multiple of 15? False Does 10 divide 925 - (-2)/8*(-25 + 21)? False Let k(t) be the third derivative of -1/3*t**3 - 1/24*t**4 + 0 + 1/30*t**5 + 0*t + 1/120*t**6 - 5*t**2. Is 20 a factor of k(3)? True Let i(j) = -51*j**3 + 2*j + 1. Let w be i(-1). Suppose 2*m = -2*a + w, 0*m + a = m - 23. Is 24 a factor of m? True Suppose 0 = -q + 5*l - 0 - 11, 2*q - 5*l = -22. Does 27 divide (q - -5)*27*-2? True Suppose 5*t = 2*d - 56, 3*d - 3*t = -44 + 119. Let x(i) = -i**3 + 23*i**2 - 2*i + 56. Is 5 a factor of x(d)? True Suppose 2 + 2 = 2*q. Let f(h) = h + 1. Let l be f(17). Suppose l = q*p - 2. Is 4 a factor of p? False Suppose 4*l = -1 - 7, 0 = 3*v - 4*l - 53. Suppose 0*j = -3*j + v. Let g(u) = u**3 - 3*u**2 - 6*u - 6. Is 4 a factor of g(j)? False Suppose 0 = q - 4*w - 19 - 9, 4*q + w = 61. Suppose -q*z + 12*z + 36 = 0. Is z/(-18)*-2*18 a multiple of 9? True Let u = -46 + 11. Let x = -32 - u. Suppose -x*g + 2*g = -34. Is 7 a factor of g? False Suppose 176 = -71*u + 75*u. Does 14 divide u? False Let c be (-1 - 3/3) + -61. Let f = -18 - c. Is f a multiple of 9? True Let v(i) = 7*i - 51. Let f be v(8). Is 105 + (-8)/20 + 2/f a multiple of 35? True Let v(l) = l**2 - 7*l + 8. Let d be v(6). Suppose -3*q - d*y - 3 = -7, 4*y + 4 = 0. Suppose o = -4*k + 60, q*k = 3*k + 5*o - 15. Is 12 a factor of k? False Suppose 2*v = v - 2. Let m be -2 - (v - 3)*1. Is 2 - ((-24)/m + 3) a multiple of 3? False Let v(z) = -11*z + 33. Is 6 a factor of v(-23)? False Suppose 0 = 2*w + 2*w + 1548. Let m = 559 + w. Does 21 divide m? False Let b = 101 + -105. Does 14 divide 1050/60 - 2/b? False Suppose u = -5*b - 9, b + 58 = -4*u - 54. Let v = u + 203. Does 18 divide v? False Let a(y) = -y**3 - 12*y**2 - 6*y - 2. Suppose -77 = z + 6*z. Let v be a(z). Let s = v - -109. Does 13 divide s? True Suppose 26*s - 29*s = -9. Suppose -3 - 63 = -s*b. Is 16 a factor of b? False Let
{ "pile_set_name": "DM Mathematics" }
z + n*z**2 + y = 0 for z. 7 Let q(o) be the second derivative of -o**7/273 + 11*o**6/195 - 21*o**5/65 + 34*o**4/39 - 40*o**3/39 - 316*o. Find i, given that q(i) = 0. 0, 2, 5 Let d(z) be the second derivative of -1/231*z**7 + 3/11*z**4 - 4/165*z**6 + 0*z**2 + 3/110*z**5 + 0 + 0*z**3 + 47*z. Factor d(n). -2*n**2*(n - 2)*(n + 3)**2/11 Let t(x) be the first derivative of 1/3*x**4 + 41 + 170*x**2 - 44/3*x**3 + 1156/3*x. Factor t(y). 4*(y - 17)**2*(y + 1)/3 Let b(v) be the third derivative of -v**8/1344 - 3*v**7/140 - 31*v**6/480 + 3*v**5/40 + v**4/3 + 2*v**2 + 75*v. Solve b(w) = 0 for w. -16, -2, -1, 0, 1 Suppose 815*j = 809*j. Let s(p) be the third derivative of -23*p**2 - 1/90*p**5 + 0 + 1/9*p**4 + j*p**3 + 0*p. Determine w, given that s(w) = 0. 0, 4 Let u be -2*(9 - (-70)/(-7)). Factor -2*a**u + 24084 + 4*a**2 - 11284 - 320*a. 2*(a - 80)**2 Let x(r) be the third derivative of r**5/480 + 27*r**4/16 + 161*r**3/12 - 2070*r**2 - 2. Determine i so that x(i) = 0. -322, -2 Let c(f) = -5*f**2 - 125*f - 40. Let q(v) = -v + 2. Let j(g) = -c(g) - 20*q(g). Let j(p) = 0. What is p? -29, 0 Let l(t) be the first derivative of 5*t**6/3 + 1756*t**5/35 + 3153*t**4/14 + 6308*t**3/21 + 76*t**2/7 - 48*t - 795. Find n, given that l(n) = 0. -21, -2, -2/7, 1/5 Let y(t) be the second derivative of -5/12*t**4 - 17*t - 2 + 55/2*t**2 - 25/3*t**3. Suppose y(z) = 0. Calculate z. -11, 1 Let s(j) = 2*j**3 - 32*j**2 + 285*j - 264. Let o(x) = 3*x**3 - 31*x**2 + 284*x - 268. Let y(w) = -3*o(w) + 4*s(w). Factor y(q). -(q - 6)*(q - 1)*(q + 42) Let v be (-3614)/13*9 - -12. Let a = v - -2494. Find h, given that 7/5 - 34/5*h**2 + 3/5*h**a + 16/5*h**3 + 8/5*h = 0. -7, -1/3, 1 Let h = 103178 - 103176. Let 32/7*q**4 + 48/7*q**3 - 12/7*q + 2/7 + 2/7*q**h = 0. What is q? -1, 1/4 Let s(z) = 4 + 6*z + 2 + 7*z**2 - 9*z**2 + 4*z**2. Let o be s(-2). Let -q**3 - 12*q**5 - 9*q**5 - 3*q**4 + 20*q**5 + 3*q**o + 2*q = 0. Calculate q. -2, -1, 0, 1 Let h(w) be the first derivative of -91*w**3/15 - 44*w**2/5 + 3*w/5 - 9825. Factor h(t). -(t + 1)*(91*t - 3)/5 Let 5117*q**2 - 3702*q**2 + 120319 - 20914 + 100815*q + 5*q**3 = 0. Calculate q. -141, -1 Let b(n) be the second derivative of -2*n**7/315 + 2*n**5/45 - 2*n**3/9 - 31*n**2/2 + 15*n - 1. Let z(x) be the first derivative of b(x). What is v in z(v) = 0? -1, 1 Let a = 667/30 + -137/6. Let q = -13/30 - a. Factor 1/3*r + 0 - q*r**2. -r*(r - 2)/6 Let r be 3/(-21)*(-28 + 28). Let q(h) be the third derivative of 0*h**6 + 16*h**2 + 0*h + 0*h**4 - 1/45*h**5 + 1/315*h**7 + r + 1/9*h**3. Solve q(o) = 0. -1, 1 Let l be ((-157486)/(-28926))/((-14)/(-12)). Factor -4/3*v**3 + 0 + 0*v + 0*v**2 + l*v**4 - 10/3*v**5. -2*v**3*(v - 1)*(5*v - 2)/3 Let h(w) = 2*w**2 - w - 1. Let f(y) = -7*y**2 - y - 2. Suppose 33 = -14*n + 19. Let x(j) = n*f(j) - 4*h(j). Factor x(k). -(k - 6)*(k + 1) Suppose 6*v + 145 = 175. Factor -19*g - 38*g + 12*g + 21 + 49 + v*g**2. 5*(g - 7)*(g - 2) Let q = -231305 + 925223/4. Factor -q*b**3 + 27/4*b + 21/2 - 9/2*b**2. -3*(b - 2)*(b + 1)*(b + 7)/4 Let w(a) be the third derivative of a**8/80640 + a**7/20160 + 13*a**5/30 + 2*a**2 + 64. Let r(b) be the third derivative of w(b). Factor r(d). d*(d + 1)/4 Let t(p) = -16*p**2 - 11*p. Let g(v) = 15*v**2 + 12*v. Let x(l) = -23*l - 17*l + 43*l - 12. Let m be x(6). Let s(y) = m*t(y) + 5*g(y). Factor s(z). -3*z*(7*z + 2) Let l = 70 + -67. Let g be (-2)/9 + 418/99. Factor -l + n**5 + n - 946*n**2 + 6*n**3 + 3 + g*n**4 + 950*n**2. n*(n + 1)**4 Suppose 2763*l = 3234*l - 942. Factor 0 - 4*r - 2/3*r**4 + 4/3*r**3 + 10/3*r**l. -2*r*(r - 3)*(r - 1)*(r + 2)/3 Suppose -9*g + 16 + 2 = 0. Factor -1 + 3 + 3*r - 7*r**2 + 1 + 3*r**4 - 6*r**3 + 3*r**5 + r**g. 3*(r - 1)**2*(r + 1)**3 Let l(v) = -6*v**2 - 68*v + 41. Let d(k) = -21*k + 18. Let r(a) = a**2 - 41*a + 38. Let c(s) = -5*d(s) + 2*r(s). Let w(g) = 11*c(g) + 4*l(g). Factor w(b). -(b + 10)*(2*b - 1) Let d be (36/15)/(26 + 196/(-14)). Determine j, given that -d*j**2 + 4/5 + 0*j = 0. -2, 2 Solve 4/5*t**2 + 1008/5 - 132/5*t = 0. 12, 21 Let x(u) be the third derivative of -u**7/42 - 49*u**6/24 - 176*u**5/3 - 3025*u**4/6 - 365*u**2 - 3. Factor x(y). -5*y*(y + 5)*(y + 22)**2 Let v(k) = -k**4 + 3*k**3 - k**2 - k - 1. Let b(d) = d**4 + 75*d**3 - 234*d**2 + 158*d + 2. Let p(o) = -5*b(o) - 10*v(o). Solve p(f) = 0. 0, 1, 2, 78 Let m be (-441)/(-476) + 402/1608. Find t, given that -22/17 - m*t + 2/17*t**2 = 0. -1, 11 Let i be (12 - ((-464)/(-36) - 3)) + 3/(-3). Let l(m) = -m + 1. Let c be l(-1). Find a, given that i*a + 2/9*a**3 + 4/9 + 8/9*a**c = 0. -2, -1 Let y = -108 - -114. Suppose 15*g**3 - 6*g**4 - 2*g**5 + y*g**2 - 18*g**5 + 8*g**5 - 3*g**5 = 0. Calculate g. -1, -2/5, 0, 1 Let i(k) be the second derivative of k**8/26880 + k**7/10080 - k**6/720 - k**5/120 - 19*k**4/2 + 2*k + 7. Let c(h) be the third derivative of i(h). Factor c(a). (a - 2)*(a + 1)*(a + 2)/4 Let u(v) be the first derivative of v**3/5 + 705*v**2 + 828375*v - 1758. Factor u(d). 3*(d + 1175)**2/5 Find y, given that y**2 + 0 + 271/2*y = 0. -271/2, 0 Let n(k) be the first derivative of 14*k**3/9 - 10*k**2/3 - 48*k + 3049. Let n(x) = 0. What is x? -18/7, 4 Suppose 0 = 3*y - 15, -2*n = 3*y - 36 + 13. Let f(c) be the third derivative of 1/2*c**3 - 5*c**2 + 1/40*c**5 - 3/16*c**n + 0 + 0*c. Solve f(p) = 0. 1, 2 Suppose -85*p = -28*p - 684. Factor -p*x**3 + 6*x + 28*x + 10*x - 30 - 2*x**4. -2*(x - 1)**2*(x + 3)*(x + 5) Let f(w) be the second derivative of w**7/14 - w**6/30 - 3*w**5/4 + 5*w**4/12 + 2*w**3 - 2*w**2 + 104*w + 1. Let f(a) = 0. Calculate a. -2, -1, 1/3, 1, 2 Suppose -3/2*b**4 + 1863/2*b - 2343/2*b**2 + 165/2*b**3 + 2187 = 0. Calculate b. -1, 2, 27 Suppose -n + 4*c = c - 39, 3*n + 3*c - 69 = 0. Suppose 4*q + 10 = 4*m - 18, n = m - 5*q. Factor 8*p**2 - 5*p - 1102 + m*p**2 + 1072. 5*(p - 2)*(2*p + 3) Let w = 4147 + -2401. Let u = 1748 - w. Factor 32/3*g + 2/3*g**u + 128/3. 2*(g + 8)**2/3 Let k(a) = 6*a**3 - a**2 - a. Let y be k(2). Let c = -39 + y. Factor 20*j**3 - 17*j**3 - 20 - 12*j**4 + 9 + 30*j**2 - 13 - 12*j + c*j**5. 3*(j - 2)**3*(j + 1)**2 Let h = 1509/262 + 1204971/3406. Let a = 360 - h. Let -2/13*x**2 - a + 8/13*x = 0. What is x? 1, 3 Let t be 105/(-140)*(-32)/(-30) - 82/(-65). Suppose 0 = -x, 4*d - 3*d - 4*x = 2. Factor t - 2/13*n**d - 4/13*n. -2*(n - 1)*(n + 3)/13 Let d(t) = 2*t**2 - 28*t. Suppose x + 4*c = -x + 28, 7 = -2*x + 3*c. Let l(p) = -p**2 + 15*p. Let g(j) = x*d(j) + 7*l(j). Factor g(r). r*(r - 7) Let s be (-15 + 627/38)/(0 - (-3)/54). Let i(g) be the first derivative of -5/6*g**3 + 0*g + 1/8*g**4 + g**2 + s. Factor i(b). b*(b - 4)*(b - 1)/2 What is c in 654165538/9 + 1378/3*c**2 + 2/9*c**3 + 949442/3*c = 0? -689 Let r(t) be the first derivative of -2*t**5/55 - 16*t**4/11 - 350*t**3/33 + 1476*t**2/11 + 3240*t/11 - 79. Solve r(o) = 0 for o. -18, -1, 5 Suppose -18*h + 5 = -17*h. Let l(v) = 138*v - 690. Let z be l(h). Factor z*u + 2/3 - 2/3*u**2. -2*(u - 1)*(u + 1)/3 Let g be ((-20)/(-15))/((-4)/(-558)). Suppose -13*s - 30 = -g. Factor 14 - 6 - 5 - 8*o**2 - 7 + s*o. -4*(o - 1)*(2*o - 1) Let z(i) be the first derivative of i**3/3 + 1050*i**2 + 1102500*i + 7935. Factor z(j). (j + 1050)**2 Let t be 30/(-231) - (-297)/1089. Factor -t*p + 2/7 - 1/7*p**2. -(p - 1)*(p + 2)/7 Let s = -301/2 - -3319/22. Let c(h) = -8*h - 86. Let i be c(-11). Factor 6/11*u**i - 10/11 + s*u. 2*(u - 1)*(3*u + 5)/11 Let v(p) = 151*p**2 - 4*p - 69. Let t be v(-7). Find o such that -16*o - 4*o**3 - 54*o - 7310 + t + 6*o + 28*o**2 = 0. 2, 3 Let c(k) = -k**3 + 22*k**2 + 86*k - 77. Let y be c(26). Let l = -3811/7 - y. Factor 0*i - l*i**3 - 2/7*i**2 - 2/7*i**4 + 0. -2*i**2*(i + 1)**2/7 Let q(o) be the first derivative of -5*o**6/18 + 137*o**5/6 + 585*o**4/8 + 1415*o**3/18 + 355*o**2/12 - 2407. Let q(s) = 0. What is s? -1, -1/2, 0, 71 Let k(q) be the second derivative of -q**4/28 - 47*q**3/14 + 81*q**2 + 2*q - 2054. Determine n, given that k(n) = 0. -54, 7 Let r(u) be the second derivative of u**4/42 - 2*u**3/7 + 8*u**2/7 - 262*u - 2. Factor r(f). 2*(f - 4)*(f - 2)/7 Let c be ((-2268)/(-1470))/(45/42). Let t(l) be the first derivative of 2 + 3/5*l - c*l**5 - 13/5*l**3 + 15/4*l**4 - 3/10*l**2. Solve t(q) = 0. -1/4, 1/3, 1 Let t(i) = -22*i**2 + 3258*i + 3052. Let y(x) = 47*x**2 - 6549*x - 6102. Let r(u) = -13*t(u) - 6*y(u). Suppo
{ "pile_set_name": "DM Mathematics" }
as u*k**2 + r*k + i and give u. -4672 Rearrange (-173*a**2 - 2775*a**3 - 136 + 2778*a**3 + 135)*(2 - 2 - 2*a) + a - a - a**4 to the form g*a**2 + d*a + c*a**4 + w + r*a**3 and give d. 2 Rearrange -989*n - 413*n - 566*n + 2 - 314*n to the form m*n + q and give q. 2 Rearrange 1 + 6*j**4 + 20*j**2 - 52*j**3 + 33*j**2 - 52*j**2 - 15*j**3 to the form u + w*j**4 + m*j + z*j**2 + s*j**3 and give u. 1 Express (704 - 704 + 355*j)*(5 - 6 + 5 + 5*j) in the form c + n*j + w*j**2 and give w. 1775 Express 0 + 192713206*h - 192731504*h + 0 as z*h + a and give z. -18298 Rearrange (4*s - 11*s - 2*s)*(-s - 7*s - s + 7*s - 8*s - 5*s + (-1 + 4 - 2)*(0 - 2*s + 0) + 3*s - 2*s - 2*s) to the form o + n*s + g*s**2 and give g. 162 Rearrange 15*q**2 + 71 - 7*q**2 + 4*q**2 + 155*q - 156*q to the form v*q + j + o*q**2 and give v. -1 Rearrange (-5 + 7 + 6 + (-2 + 3 + 1)*(-3 + 2 + 6))*(-m**2 - m**2 - 2*m**2) to w + z*m + l*m**2 and give l. -72 Rearrange -4331*l - 2974*l + 1388*l to m + c*l and give c. -5917 Rearrange 288*s + 2*s**2 - 416*s - 15*s**3 + 7*s**3 to the form w*s + y*s**2 + c + i*s**3 and give i. -8 Rearrange (7 - 53 - 18)*(-2*h**2 - 1 + 1 + (-2 - h + 2)*(0*h - 3*h + 2*h) + 16*h**2 + 13*h**2 - 58*h**2) to c*h + n + v*h**2 and give v. 1920 Express (k + 3*k - 3*k)*(2*k + 0 + 0) - 77*k**2 + 27*k**2 + 34*k**2 + 123 - k - k - 120 - 92*k**2 in the form b*k + w*k**2 + c and give b. -2 Rearrange (2*r - 2 + 2)*(279791*r - 279793*r + 9907*r**3 - 1913*r**3) to the form g + q*r**2 + i*r + y*r**3 + l*r**4 and give l. 15988 Express -n + 12*n**2 + 21483 - 21483 - 3*n**3 as t*n**2 + u + r*n + b*n**3 and give r. -1 Express -32*w - 3 + 226*w + 29*w + 0 as u + z*w and give u. -3 Express (2 + 4 - 3)*(-4 - f + 4 + f + 2 - 2 + (-2*f - 3*f + 3*f)*(0 + 3 - 1) + 0*f + 5*f + 7*f) - f + 0 + 0 in the form i*f + b and give i. 23 Express (-11 - 5 + 15 - 13*f)*(f**3 + 2 - 2)*(-367 + 167 + 172) as j + y*f**2 + c*f + q*f**4 + w*f**3 and give w. 28 Rearrange 367 + 370 - 19*p**2 - 1109 - 14*p + 374 to the form d + t*p + j*p**2 and give d. 2 Express p**2 + 5*p**2 - 5*p**2 + (-407*p - 405*p + 721*p)*(3 - p + 2 - 4) in the form r*p**2 + b + v*p and give v. -91 Rearrange (1 - 1 - 2*o)*(o - 2*o + 3*o) + 28*o**2 - 190*o - 157*o + 343*o to v*o + w*o**2 + p and give v. -4 Rearrange (-168*m + 727*m - 1273*m)*(-2 + 5 + 0) to the form g + t*m and give t. -2142 Rearrange 507*g + 148*g + 478*g + 127*g + 439*g to the form h*g + l and give h. 1699 Express (1 - 4 - 4)*(291*w**4 - 320*w**4 + 316*w**4) in the form c*w**4 + d*w**3 + x*w**2 + g*w + j and give c. -2009 Express -1 - 58*t**2 + t - 65*t**2 + 416*t**3 + 190*t**2 + 62*t**3 - 65*t**2 in the form k*t**3 + q*t + p + v*t**2 and give k. 478 Rearrange -3770*b + 4196387 - 4196387 to w + h*b and give h. -3770 Express 526 - t**2 - t**2 + 9*t**3 - 4*t**4 - 524 in the form r*t**4 + x*t + i + j*t**2 + c*t**3 and give c. 9 Express 120 + 134 + 2*m - 248710*m**2 + 248706*m**2 as l*m + y + o*m**2 and give y. 254 Rearrange -19 - 3*m**3 - 2410*m + 2417*m - 4 + m**4 to the form j*m + c*m**4 + v*m**3 + i*m**2 + x and give v. -3 Express (-87*y + 179*y - 90*y)*((2 + 1 + 3)*(-4*y + y + 5*y) + (3 - 3 - 4)*(4*y + 0*y - 5*y)) in the form w*y**2 + c*y + u and give w. 32 Rearrange (2 - 5 + 1)*((40320 - 40320 + 49*o)*(-2 + 4 + 0) - 4*o - o + o) - o + 8*o - o to h*o + f and give h. -182 Rearrange (2 - 3 - 6)*(143*j**3 + 55*j**3 + 64*j**3) to a*j + m + d*j**3 + h*j**2 and give d. -1834 Express ((11 - 1 + 4)*(6 - 3 - 4) + (-6 + 2 + 2)*(33 + 57 - 34))*(v**2 + 2*v**3 - v**2) as k + a*v**2 + p*v**3 + j*v and give p. -252 Express 70*y**3 - 74*y**2 - 2300*y**3 + 100*y**2 + 2 - 26*y**2 as o*y**3 + v*y + h + z*y**2 and give o. -2230 Rearrange -616 + 1069*a - 354*a - 2*a**2 - 353*a - 363*a to n*a**2 + w + t*a and give t. -1 Express -106868 + 88*u**2 - 3*u - 4*u + 8*u**2 + 106868 in the form w*u + m + x*u**2 and give w. -7 Rearrange -286 + 286 - 7802*g to i*g + j and give i. -7802 Express 2*c + 452 + 2*c + 468 - c - 944 in the form f*c + h and give h. -24 Rearrange -6*h + 4*h + 4*h + (-3*h + 7*h + 2*h)*(182 - 175 - 550) to r + q*h and give q. -3256 Rearrange 13*n**3 + 11*n**4 + 102 - 10*n**4 - 120 - 5*n**2 + 5*n**2 to j*n**2 + m*n + u + p*n**3 + s*n**4 and give p. 13 Rearrange -3*s + 8*s + 14598 - 14592 - 6*s**3 + 3*s**3 + 27*s**2 to the form d*s**2 + t*s + r + a*s**3 and give t. 5 Rearrange (-v**2 + 3*v**2 - 5*v**2)*(-1635*v + 3572*v - 12378*v) to r*v**3 + k + q*v + u*v**2 and give r. 31323 Rearrange -2 + 4 + 4*w**3 - 5*w - 4*w**3 + 19*w**4 + w**3 + 16*w**2 - 17*w**2 to g + m*w**2 + d*w**3 + p*w + i*w**4 and give p. -5 Rearrange 14608823 + 18*w + 49*w - 14608820 - 3*w**2 to m + c*w**2 + l*w and give c. -3 Express 2595*u - 2809*u + 1307*u - 10278*u - 11603*u as l + x*u and give x. -20788 Express (i**2 + 1 - 1)*(-2572 + 2240 + i + 12445 + 1529 + 12967) in the form f + b*i + z*i**3 + g*i**2 and give z. 1 Express (-3*g + g + g)*(-2292 + 4648 + 229*g - 2331) in the form f*g + t + m*g**2 and give f. -25 Rearrange 3422041*b - 3720*b**2 - 3422041*b to h*b + g + w*b**2 and give w. -3720 Express -x**2 + 619 + 146 - 673 + 457 as z*x**2 + u*x + v and give v. 549 Rearrange 1 - 70723*a - 172*a**2 + 2*a**3 + 13 - 8 + 70723*a to r*a + y*a**2 + c*a**3 + x and give x. 6 Express 8*c**4 - 94*c**4 + 2*c**4 - 1 - 90192*c + 90194*c - 10*c**2 as d*c**3 + p + g*c**2 + h*c + u*c**4 and give g. -10 Rearrange -a**2 - a + a + (-563*a + 26414 - 26414)*(-6*a + 3 - 3) - 2*a**2 + 0*a**2 + 0*a**2 to the form q*a + x + j*a**2 and give j. 3375 Express (-632 - 178*g + 632)*(-8*g + 3*g - 6*g) + (-g + 4*g - 6*g)*(g + 0*g - 3*g) in the form c*g + y + z*g**2 and give z. 1964 Rearrange -35 - 29 + 97 - 12*s**4 - s**2 - 31 - 60*s + 0*s**2 to the form a*s**3 + m*s + i*s**2 + f + n*s**4 and give f. 2 Express 0 + 1 + 716*u + 3118*u + 298*u + 0 as l*u + y and give l. 4132 Rearrange 75 - 42*y**2 - 75 + (-9*y + 9*y + 4*y**2)*(3 + 0 + 2) to the form m*y**2 + c*y + z and give m. -22 Express (-110 - 56 - 40)*(2*u + 2*u - 27*u) as q + w*u and give w. 4738 Express 2450*l - 189*l**2 - 5 - 2448*l + 16*l**3 - 15*l**3 as u*l**2 + m + j*l + p*l**3 and give m. -5 Rearrange -379*p**2 + 392 - 2*p + 1637*p**2 - 392 + 5*p to b*p + y + t*p**2 and give t. 1258 Express (-7 + 0 + 4)*(2*p**3 + 0*p**3 - 5*p**3)*((-2 + 3 + 0)*(2*p - 1 + 1) + 3*p + 2*p + 5*p - 3*p - 4 + 4) as g*p + z*p**2 + m*p**4 + o*p**3 + s and give o. 0 Express -441335 + 441334 + 0*c + 0*c - 10*c**2 in the form m + u*c**2 + l*c and give m. -1 Rearrange -16*x - 8*x + 31*x - 8*x - 90*x**2 + 7*x**3 - 83*x**2 to the form s*x**3 + g*x + a + o*x**2 and give g. -1 Express 59*d**2 + 69*d**2 + 59*d**2 + 562 - 26 - 198*d**2 as t + o*d**2 + h*d and give o. -11 Express 15*y**2 + 2*y + 8*y**4 + 7 - 16*y**4 + 13*y**2 - 9*y**2 + 9*y**4 in the form i*y + r*y**2 + l*y**3 + w + d*y**4 and give r. 19 Express -9*s + 18*s + 183 - 2*s - 5*s - 4*s as j*s + t and give t. 183 Express -78*a + 107 + 1361*a + 2155*a - 107 in the form i + t*a and give t. 3438 Express -3559*v - 2 + 16*v**3 + 2*v**2 + 3560*v - 3 + 10*v**2 in the form u*v**3 + j*v + b + c*v**2 and give c. 12 Express 7*k**4 + k**3 - 6*k**3 - 3*k**2 - k - 6*k**3 + 9*k**3 + 4*k**3 as q*k**2 + v*k**4 + c*k**3 + n*k + u and give v. 7 Express -23 + h**2 + 307 - 2*h + 98 + 548 + 10 as u + q*h**2 + z*h and give u. 940 Express 24 + 60*v + 2*v**2 - 78 - 2*v**2 + 37 - 4*v**2 as w*v**2 + q + c*v and give q. -17 Express -1228*s + 3501*s + 2849*s as v*s + p and give v. 5122 Rearrange -853*k - 1 + 2 + 843*k - 12 + k**2 to r*k + j + n*k**2 and give j. -11 Rearrange 69*x - 81 + 109 - x**4 - 23 to the form y*x**4 + n*x + d + z*x**3 + h*x**2 and give y. -1 Express -4*d - d**2 - 7*d + 3*d + (3820 - 414*d - 3820)*(0*d + 2*d - 3*d) in the form o*d + n*d**2 + p and give n. 413 Express (4 + q - 4)*(519*q + 2 + 1024*q - 2 + 150*q) in the form a + s*q**2 + f*q and give s. 1693 Express -242*v**3 + 60*v**2 - 60*v**2 + (-27 + 27 + 6*v)*(-3*v**2 + 2 - 2) as k*v**3 + y*v + j + g*v**2 and give k. -260 Express (1 - 1 + 3)*(346 - 1166 - 348)*(-r**3 + 2*r**2 - 2*r**2) in the form p*r**3 + u*r**2 + w*r + g and give p. 3504 Rearrange -31*s + 2*s**3 + 12*s + 21*s + 2 - 3 + 33*s**2 to i*s**3 + m*s**2 + c + b*s and give i. 2 Express -3*s**2 - 2*s**3 + 842144 - 842498 + 3*s**2 in the form c*s**3
{ "pile_set_name": "DM Mathematics" }
19*i**2. Determine g(m(y)). 76*y**2 + 1596*y + 8379 Let t(d) = 2*d**2. Let p(g) = -51*g + 3. Determine p(t(s)). -102*s**2 + 3 Let i(k) = -k. Let w(q) = -q**2 + 6*q + 9. Let x be w(7). Let d(f) = 3*f + f**x - 3*f. What is d(i(t))? t**2 Let w(a) = 7 - 7 - 2*a. Let t(d) = 6*d**2. Determine w(t(n)). -12*n**2 Let l(y) = -65*y**2 - 3. Let i(n) = -2*n. Determine l(i(j)). -260*j**2 - 3 Let z(g) = -g. Let p(v) = -23*v + 4. Calculate p(z(x)). 23*x + 4 Let f(j) = -2*j**2. Let i(v) = 183*v. Calculate i(f(r)). -366*r**2 Let v be (-3)/(-9) + (-4)/3. Let q = 3 + v. Let j(d) = 6*d**q - 2*d**2 - 3*d**2. Let b(y) = 6*y**2. Give b(j(l)). 6*l**4 Let l(b) be the second derivative of -b**5/120 - b**3/3 + b. Let p(x) be the second derivative of l(x). Let c(m) = m**2. Calculate c(p(v)). v**2 Let b(g) be the third derivative of -g**4/12 - 11*g**2. Let u(w) = -w - 2. Give b(u(a)). 2*a + 4 Let r(x) = -x**2 - 838. Let h(q) = 6*q. Calculate h(r(g)). -6*g**2 - 5028 Let y(s) = s - 5. Let z be y(5). Let p = 0 + z. Let a(i) = 0*i + p*i + i. Let q(g) = g**2. Calculate q(a(u)). u**2 Let n(x) be the third derivative of x**4/8 - 3*x**2. Let o(i) = i. Calculate o(n(g)). 3*g Let g(r) = -74*r. Let a(j) = -452*j + 452*j + j**2 + 0*j**2. What is a(g(y))? 5476*y**2 Let g(c) = c**2. Let m(q) be the first derivative of -q**3/6 + 4*q - 1. Let x(n) be the first derivative of m(n). Give g(x(u)). u**2 Let q(g) = -3*g**2. Let l(i) = -8*i + 6. Let r(m) = -m. Let b(f) = 7*f - 1. Let y(t) = b(t) + 6*r(t). Let c(u) = l(u) + 6*y(u). Determine q(c(k)). -12*k**2 Let w(l) = 3*l**2. Let z(g) = -179*g**2. Calculate w(z(x)). 96123*x**4 Let u(f) = -14*f + 30*f - 18*f. Let d(c) = c + 5 - 4*c - 4*c. Let z(l) = 8*l - 6. Let m(b) = 6*d(b) + 5*z(b). Determine u(m(t)). 4*t Let g(l) = -17*l - 122. Let r(k) = -2*k**2. Calculate r(g(w)). -578*w**2 - 8296*w - 29768 Let f(s) = s**2 + 8*s. Let l(z) = -2*z. Give f(l(o)). 4*o**2 - 16*o Let p(r) = -3*r**2. Let v(h) be the second derivative of 0*h**2 + 1/12*h**4 - 5*h + 0 + 0*h**3. What is v(p(j))? 9*j**4 Let z(p) = 5*p. Let s(r) be the first derivative of -r**3/3 + 7. Determine z(s(k)). -5*k**2 Let b(n) = -10*n**2 - 9*n**2 - 2*n**2. Let m(r) = r**2. What is m(b(d))? 441*d**4 Let n(l) = -2*l**2. Let q(d) be the first derivative of d**5/40 - 2*d**3/3 - 3. Let y(k) be the third derivative of q(k). Determine y(n(b)). -6*b**2 Let h(s) = 2*s. Suppose -3*r = -5*c - 33, -3*c = -4*r - 4*c + 21. Let k be ((-3)/r)/(2/(-16)). Let d(y) = -5 - k*y + 6*y + 5. Determine h(d(b)). 4*b Let q(h) = h + 1. Let k(p) = 5*p - 3. Let w(v) = -6*v + 4. Let t(n) = -6*k(n) - 4*w(n). Let i(o) = 2*q(o) - t(o). Let z(f) = 2*f**2. Calculate i(z(r)). 16*r**2 Let n(w) = -5*w + 3 - 4*w**2 - 3 + 2*w. Let m(r) = 7*r**2 + 5*r. Let h(q) = -3*m(q) - 5*n(q). Let y(k) = -3*k**2 + 2*k**2 + 0*k**2. Determine y(h(g)). -g**4 Let v(c) = 2*c**2. Let w(u) be the third derivative of u**5/30 - 9*u**2. Determine v(w(x)). 8*x**4 Let f(q) = 22*q - 12. Let y(m) = 9*m - 5. Let w(r) = 5*f(r) - 12*y(r). Let c(o) = -2*o**2 + 3*o**2 + o**2. Calculate w(c(a)). 4*a**2 Let l(o) be the first derivative of -2*o**3/3 - 1. Let g(y) be the first derivative of y**3 + 7*y - 7*y - 4. What is l(g(x))? -18*x**4 Let x(j) = -2. Let l(t) = 38*t + 8. Let a(y) = -l(y) - 4*x(y). Let z(k) = -3*k. Give z(a(p)). 114*p Let n(h) = h**2. Let s(a) = -3*a**2 - 463*a - 2. Calculate s(n(q)). -3*q**4 - 463*q**2 - 2 Let u(l) = 131*l**2. Let z(k) = 9*k. Calculate u(z(b)). 10611*b**2 Let n(b) = 4*b**2 + 3*b**2 - b**2. Let c(y) = y**2. Suppose -43 = -5*w + 3*g, -w - 4*g + 23 = -g. Let x(p) = w*c(p) - 2*n(p). Let o(u) = u. What is x(o(j))? -j**2 Let j(o) = -o. Suppose 5*p = 11 - 1. Suppose 1 = -3*v - 2*x, 3*v = -v - 2*x + p. Let d(i) = -3*i - 3 + v. Calculate j(d(w)). 3*w Let q(z) = -11*z. Let t(c) = -43*c + 2. Calculate q(t(u)). 473*u - 22 Let j(f) be the first derivative of f**2/2 + 1. Let q(p) be the third derivative of p**4/12 + 2*p**2. Calculate j(q(y)). 2*y Let d(s) be the first derivative of -s**6/360 - 2*s**3/3 - 4. Let u(x) be the third derivative of d(x). Let z(t) = -2*t. Calculate z(u(v)). 2*v**2 Let q(u) be the third derivative of -u**6/360 - u**3/2 - 3*u**2. Let f(b) be the first derivative of q(b). Let y(r) = -3*r. What is y(f(n))? 3*n**2 Suppose 3*w - 19 = -3*i - 1, 4*i + 5*w = 28. Let h(c) = -c**2 - 2. Let p(q) = 3*q**2 + 5. Let g(o) = i*p(o) + 5*h(o). Let k(x) = x**2. Calculate k(g(j)). j**4 Let c(o) = -11*o. Let w(h) = -7*h. Let z(v) = -5*c(v) + 8*w(v). Let g(p) = 11*p**2. Determine g(z(m)). 11*m**2 Let p(c) = c**2 + 3*c. Let u(x) be the first derivative of x**3/3 + x**2 + 1. Let z = 8 - 6. Let l(i) = z*p(i) - 3*u(i). Let g(b) = -4*b**2. Determine g(l(h)). -4*h**4 Let z(f) = 5*f**2 - 2*f - 1. Let k be z(-1). Suppose 3*g = -i - k, -2*i = -3*i - g + 2. Let q(y) = y - i*y + 3*y. Let x(h) = -h**2. Determine q(x(t)). 2*t**2 Let w(n) = n**2. Let f(h) be the first derivative of h**4/6 + 3*h - 3. Let s(g) be the first derivative of f(g). Calculate s(w(v)). 2*v**4 Let f(o) = 28*o**2 - 26*o - 26. Let r(v) = v**2 - v - 1. Let j(t) = 6*f(t) - 156*r(t). Let b(x) = 2*x. Give j(b(c)). 48*c**2 Let n(j) = -j**2. Let m(y) = -63*y**2 + 11*y. Determine m(n(x)). -63*x**4 - 11*x**2 Let p(r) = 6*r - 8. Let v(t) = -t + 1. Let d(c) = -p(c) + 4*v(c). Let w(s) = -s + 1. Let k(l) = d(l) - 12*w(l). Let y(a) = -a**2. Give k(y(z)). -2*z**2 Let k(b) = -829*b. Let q(r) = -r**2. Give q(k(m)). -687241*m**2 Let n(s) = -s - 1. Let t(h) = -5*h - 6. Let j be 2/((-16)/(-12) + -1). Let a(g) = j*n(g) - t(g). Let f(z) = 2 - 2*z**2 - 2. Determine f(a(v)). -2*v**2 Let x(k) = 2*k + 4*k - 5*k. Let t(n) = -2*n. Calculate x(t(q)). -2*q Let a(m) = 3*m. Let g(b) be the first derivative of -3 + 2*b - b**2 + 2*b**2 - 6*b. Let x(q) = 3*q - 5. Let i(t) = -5*g(t) + 4*x(t). What is i(a(p))? 6*p Let c = 4 + 0. Let i(r) = -c*r + 2*r - 4 + 4. Let n(a) = a + 0 + 0. What is n(i(l))? -2*l Let i(y) be the second derivative of -y**3/3 + 3*y. Let b(h) be the first derivative of h**3/3 - 2. Calculate b(i(s)). 4*s**2 Let u(y) = 38*y. Let i(m) = -62*m**2. Determine u(i(b)). -2356*b**2 Let c(s) = 9*s + 5*s + 6*s + 7*s. Let b(d) = -d**2. Calculate b(c(x)). -729*x**2 Let m(k) = -k - 8*k + 11*k. Let u(g) = g**2. Determine u(m(b)). 4*b**2 Let v(u) = 3*u. Let j(l) be the third derivative of -l**5/60 - 11*l**2. What is v(j(n))? -3*n**2 Let p(s) be the third derivative of 0*s**4 + 0 + 1/30*s**5 + 0*s**3 + 0*s + 5*s**2. Let k(g) = 1 + 2*g**2 - 1. Determine k(p(z)). 8*z**4 Let l(m) = m. Let k(y) = -2538*y**2 + 235*y. Let c(u) = -43*u**2 + 4*u. Let i(n) = 235*c(n) - 4*k(n). What is i(l(o))? 47*o**2 Let z(k) = -k - 7*k - k. Let g(c) = 0*c - 2*c - c + 5*c. Give z(g(r)). -18*r Let z(p) = -p. Let h(m) = -11*m + 3. Let c(n) = -319*n + 88. Let r(b) = 3*c(b) - 88*h(b). Calculate r(z(o)). -11*o Let s(y) be the second derivative of y**3/2 + y. Let j(h) be the first derivative of h**2 - 17. Give j(s(f)). 6*f Let q(l) be the third derivative of -l**4/12 - 7*l**2. Let w(a) = 22*a. Determine w(q(o)). -44*o Let v(u) = -2*u. Let k(t) = -1471*t**2. Calculate v(k(d)). 2942*d**2 Suppose -19 = -5*k + 11. Let o(y) = -5*y**2. Let b(r) = -r**2. Let v be (-6)/21 - (-30)/(-42). Let f(m) = k*b(m) + v*o(m). Let d(j) = -2*j. Give f(d(s)). -4*s**2 Let g(n) = n**2. Let k(u) = 10*u**2 - 590. Calculate k(g(t)). 10*t**4 - 590 Let b(w) = 3*w**2 - 5. Let y(q) = q**2 - 1. Let h(v) = b(v) - 5*y(v). Let t(z) be the second derivative of -z**3/3 - 51*z. Calculate t(h(x)). 4*x**2 Let d(l) be the third derivative of l**6/360 + 2*l**3/3 - 3*l**2. Let i(z) be the first derivative of d(z). Let f(v) = v. What is i(f(s))? s**2 Let r(n) = 2*n. Let i = -12 + 14. Let b(u) be the first derivative of 0*u**2 + i + 2/3*u**3 + 0*u. Give b(r(x)). 8*x**2 Let h(b) = b**2. Let s(k) = 230*k. What is s(h(p))? 230*p**2 Let s(n) = 3*n**2. Let i be 18/12 - (-2)/4. Let c(j) = -6*j**2 + j**2 + 6*j**i. Calculate c(s(w)). 9*w**4 Let b(w) = 106*w**2. Let l(g) be the second derivative of -g**4/6 + 26*g. What is l(b(p))? -22472*p**4 Let d(w) = 2*w. Let a(n) = -n**2 + n - 1. Let o(p) = -44*p**2 - 3*p + 3. Let h(u) = -3*a(u) - o(u). Determine d(h(m)). 94*m**2 Let f(p) be the third derivative of p**6/120 - p**3/3 - 2*p**2. Let c(m) be the first derivative of f(m). Let t(s) = s. Calculate t(
{ "pile_set_name": "DM Mathematics" }
261 + -1269. What is p(w)? -24 Let n(m) = 4*m - 20. Suppose 0 = -45*j + 47*j - 22. Determine n(j). 24 Let d(p) = -p**3 + 3*p**3 - 58 - 3*p**3 - 23*p - 366*p**2 + 345*p**2. Calculate d(-20). 2 Let r(j) = -4*j + 55. Let s be r(8). Suppose 16*y - s*y + 7 = 0. Let c(i) = 4*i**3 - i. What is c(y)? 3 Let b = -11 + 8. Let s(c) = c**3 - 3*c**2 - 16*c + 51. Let h be s(4). Let a(o) = -2*o**2 + 2*o + 2*o + h*o**2 - 3*o. Determine a(b). 6 Let a(c) be the third derivative of -c**6/240 + c**4/3 + 146*c**2. Let f(v) be the second derivative of a(v). Calculate f(-2). 6 Let h(u) = -4*u + 16*u - 30 - 2*u - 123 - 6*u. Calculate h(38). -1 Let x(a) = 43 + a**2 + 15 + 4*a - 19*a - 10. Calculate x(10). -2 Let f(h) = -3410*h**2 + 1700*h**2 - 8*h - 13 + 1709*h**2. Determine f(-7). -6 Let q(k) = k**2 + k - 16. Suppose -8 = -2*v + 4*v. Let s be v - (8*-1 - -2). Suppose -s*m + 7*m = 0. What is q(m)? -16 Let m(z) = -6*z. Let f be m(1). Let h(j) = -j + 5*j + 2 + 2. Let o(n) = -3*n - 4. Let q(i) = -5*h(i) - 6*o(i). What is q(f)? 16 Let z(k) = k**3 - 23*k**2 + 2*k - 10. Let q(h) = -2*h**3 + 48*h**2 - 5*h + 20. Let t(y) = -2*q(y) - 5*z(y). Give t(19). 10 Let m(x) = -x**2 - 18*x - 61. Let u be m(-5). Suppose u*j - 2*i - 3*i = 19, -25 = -5*i. Let p(d) = 2*d**2 - 21*d - 8. Give p(j). 3 Let t(m) = -12*m + 92. Suppose -976 = -72*b + 37*b - 87*b. Determine t(b). -4 Let v(s) be the second derivative of -s**6/360 + s**5/24 + s**4/8 + 29*s**3/6 + 2*s - 11. Let x(p) be the second derivative of v(p). Give x(5). 3 Suppose 25*y + 93 = 968. Let p(i) = 11*i + 14*i + 9*i + 2 - y*i. Suppose 4*n = 2*n + 5*r + 25, -3*n = -5*r - 25. Give p(n). 2 Let u(l) be the first derivative of -l**3/3 + 5*l**2 - 16*l + 40. Determine u(7). 5 Let a(b) = -10*b + 117. Let o be a(12). Let c be (20/60)/(1/o). Let s(r) be the second derivative of -r**3/3 + r**2/2 + 2*r. What is s(c)? 3 Let u(t) = -2*t**2 - 2*t - 2. Suppose -83*k = 2*h - 82*k - 6, 0 = 4*h - k + 6. Determine u(h). -2 Suppose 4 = -2*o - 0*b - 2*b, b = -5*o - 10. Let a(m) be the third derivative of -m**2 + 0*m + 1/30*m**5 + 0 - 1/6*m**3 + 1/120*m**6 - 1/12*m**4. What is a(o)? 3 Let s(i) = -i**3 + 13*i**2 + 15*i - 2. Let n(q) = q**3 + 29*q**2 + 23*q - 126. Let y be n(-28). What is s(y)? 12 Let z(j) = 0*j - 73 - 48 - 34*j + 18*j - 52. Give z(-10). -13 Let b = -1432 - -1435. Let g(a) = -2*a**3 + 7*a**2 + a - 6. Give g(b). 6 Let o(f) = -2*f**3 + 7*f**2 - f - 19. Let z be (-6564)/(-11487) - (178/(-56) - (-2)/(-8)). Give o(z). -39 Let l = 87 - 79. Suppose 18*h - 10 = l*h. Let r(p) = -h + 0*p - 4 - 5*p + 1. Determine r(-5). 21 Let n(x) = -x**3 + 2*x**2 + 4*x - 5. Let j be (-1 - -1)/(7/((-7)/(-2))). Give n(j). -5 Suppose 3*p = 8*p + 11*p. Suppose 3*d - i + 10 = p, d - 3*i + 17 - 3 = 0. Let s(q) = -q**2 - q + 1. Determine s(d). -1 Let z be (-2330)/(-6524)*14/60. Let n(p) be the third derivative of -1/6*p**3 - 5/24*p**4 + 0 - 18*p**2 - z*p**5 + 0*p - 1/120*p**6. Give n(-4). 3 Let k(y) be the second derivative of 5*y**4/12 - 2*y**3/3 + y**2 - 17*y + 91. Suppose -4*l + 11 = 3. What is k(l)? 14 Let s(n) = n**3 - 3*n**2 - 3*n + 7. Let k be 26/7 - (-17)/((-595)/(-10)). Calculate s(k). 11 Let y(b) = -b**2 + 4*b + 55. Suppose -2*t = -3*q + 4, 10*q = 3*t + 5*q + 10. Calculate y(t). -5 Let k(m) = 3*m**3 - 16*m**2 - 10*m - 67. Let q(c) = -14*c**3 + 63*c**2 + 35*c + 272. Let x(r) = -9*k(r) - 2*q(r). What is x(-17)? 8 Let a(i) = 10*i - 53*i**3 + 3 + 29*i**3 + 9*i**3 + 16*i**3 - 9*i**2. Give a(7). -25 Let x(j) = 31*j + 30. Let u(i) be the second derivative of -7*i**3/3 - 15*i**2/2 - 3*i - 4. Let l(w) = -9*u(w) - 4*x(w). Determine l(-11). -7 Let l(a) = -22*a - 251. Let q(y) = -42*y - 500. Let t(i) = -11*l(i) + 6*q(i). Let o be t(-23). Let p(u) = -u - 7. What is p(o)? 2 Let d(c) = -20*c + 15. Let j(g) = 26*g - 181. Let q be j(7). Determine d(q). -5 Suppose 0 = 4*y - 7 - 1. Let t(f) = -y - 8*f**2 + 1 + 15*f**2 + 6*f**2. Suppose -217*u - 632 + 415 = 0. Give t(u). 12 Let i(h) = -h + 5. Let s be i(5). Let c(t) = -t**3 - t**2 - 2*t + 19. Let x be c(s). Suppose 0 = 14*r - x*r - 65. Let n(o) = o + 11. Calculate n(r). -2 Let u(z) = 13 - 150 + 22*z + 395 - 10. Give u(-11). 6 Let d(n) be the first derivative of -7*n**3/3 - 64. Suppose -2 = -18*g - 20. What is d(g)? -7 Let n(i) = -3*i**3 + 23*i**2 + 27*i - 31. Let g(v) = -2*v**3 + 12*v**2 + 14*v - 15. Let k(u) = -5*g(u) + 3*n(u). Give k(-7). 3 Suppose -4*a + 30 + 150 = 0. Suppose -5*p + a + 0 = 0. Let o(s) = -s**2 - 5*s + 109*s - 94*s. Give o(p). 9 Suppose 0 = -35*u + 13*u - 88. Let b(a) = -3*a**3 - 97*a**2 - 23*a - 32. Let p(q) = q**3 + 34*q**2 + 8*q + 11. Let t(f) = 6*b(f) + 17*p(f). Give t(u). 3 Let k(q) = -270*q + 530*q - 265*q + 27. What is k(19)? -68 Suppose t = -3, -109 = 3*u - 5*u + t. Let p = u + -56. Let m(s) = -2*s - 1. Determine m(p). 5 Let d be (1 - 55/33)/(2/(-3)). Let x(w) = 61*w**3 + w**2 - 4*w + 2. What is x(d)? 60 Let a(g) be the first derivative of 11*g**4/4 + g**2/2 + g - 704. Give a(-1). -11 Let u(i) = 119*i**3 - 45*i**2 - 104*i - 332. Let q(f) = -23*f**3 + 9*f**2 + 21*f + 67. Let c(g) = -31*q(g) - 6*u(g). Determine c(-7). 6 Let m(c) = 4*c + 203. Let h(y) = -y + 34. Let p(s) = -6*h(s) + m(s). Give p(-2). -21 Let v(n) = n + 19. Suppose -2*l - 134 = 4*x, 12*x + 65 = 11*x - 5*l. Determine v(x). -11 Let c(n) = 13*n**2 + 7*n - 6*n**2 + 2 + 9*n**2 - 15*n**2 + 0. Suppose 7*j + 10 = 2*j. Let a be j/6 + 20/(-3). Determine c(a). 2 Let m = -108 - -103. Let u(p) = p**3 + 14*p**2 + 8. Let r(c) = -c**3 - 17*c**2 + c - 9. Let q(v) = -3*r(v) - 4*u(v). Calculate q(m). 10 Let d = -3766 - -3770. Let k(o) be the third derivative of 0*o + 1/24*o**d - 2*o**2 + 0 + 1/2*o**3. What is k(-5)? -2 Let u(a) = -a**3 + 6*a**2 - 9*a + 59. Suppose -5*i - 15 = 0, 36 = 5*z - 0*z - 2*i. What is u(z)? 5 Let p(k) be the third derivative of k**6/120 - k**5/12 + k**4/24 + k**3/2 + 12*k**2. Let y be (99/36)/11*12. Give p(y). -12 Let j(x) = -x. Let f(m) = 8*m + 2. Let p(h) = f(h) + 6*j(h). Suppose 3*q + 1 = 7. Suppose o - 2*o - q = 0. Calculate p(o). -2 Let k(c) = -c**2 - 9*c - 18. Suppose 103*a = 6 + 5 - 11. Calculate k(a). -18 Let x(g) = -2*g**2 + 96*g - 79. Let v be x(47). Let u(r) = r**3 - 16*r**2 + 18*r + 4. Give u(v). 49 Let s = -28 + 30. Let o(b) = -s*b**2 - b**2 - 3 + 2*b + 1 + 0. Let n(y) = y**3 - 21*y**2 + 22*y - 37. Let g be n(20). Determine o(g). -23 Let q(x) be the first derivative of -x**2/2 - 2*x - 1. Let s(i) = 34*i**3 + i**2 + i. Let t be s(-2). Let f = 265 + t. What is q(f)? 3 Let h(v) be the second derivative of v**3/2 - 5*v**2/2 - 959*v. What is h(19)? 52 Let b(i) = -i + 1. Let t(a) = -a**2 - 4*a + 4. Let w(y) = 2*b(y) - t(y). Let o be (-116)/30 - (-6)/(-45). Determine w(o). 6 Let a be 186/7 + (-51)/(-119). Suppose -a*d = -35*d + 8. Let v(q) = 2*q. Let u(j) = -j. Let l(f) = 2*u(f) + 3*v(f). Give l(d). 4 Suppose 0 = 4*t - 19 - 13. Let u(f) = -55*f**3 + 13*f**2 + 13*f - 3. Let j(k) = 46*k**3 - 12*k**2 - 12*k + 2. Let y(i) = -6*j(i) - 5*u(i). Calculate y(t). -5 Suppose 5*a - 4*h - 190 = 90, -3*a = -5*h - 181. Suppose 4*i + 44 - a = 0. Let s(y) = 3 - y - 5 + 3*y + 3*y**3 - 4*y**3 - 7*y**i. Calculate s(-7). -16 Let d(n) = n + 5. Let c be d(-4). Suppose 0*q - q - 17 = 5*w, 0 = -2*q + w + 10. Let u(m) = 57*m**3 + 70*m**q + 3*m**2 - 110*m**3 - m - m**2. What is u(c)? 18 Let r(c) be the third derivative of 11*c**5/60 - c**4/8 + 2*c**3 - 7*c**2 + 3*c. Let q(k) = 9*k**2 - 3*k + 10. Let y(t) = -6*q(t) + 5*r(t). Determine y(-3). 0 Let t(n) = n**2 + 2*n. Let f be t(-5). Suppose b = 6*b + f. Let o(g) = 6 - 12 + 4*g**2 + g**3 + 5*g + 6 + 4. What is o(b)? -2 Let n(r) = -3*r. Let m(c) be the first derivative of c**3/3 - 3*c**2 + 9*c + 242. Let a(i) = -m(i) - n(i). Determine a(7). 5 Let s(u) = -4*u**2. Let i be -5*(4 + (5 - 6/3)). Let z = -24 - i. Suppose z*q = 10*q + 1. Give s(q). -4 Let l = -397 - -399. Let z(n) = 56*n - 15*n - 11*n + l - 17*n - 10*n. Let j(y) = y + 1. Let r be j(-6). Calculate z(r). -13 Let w(o) = o**3 + 14*o**2 + 14*o - 6. Suppose 19*s - 20*s + 2*v - 7 = 0, -s - 10 = -v. Give w(s). -19 Let m(c) = 6*c**2 - 10*c - 4. Let y be 4/8*10 + -10. Let q(f) = -5*f**2 + 8*f + 3. Let s(x) = y*q(x) - 4*m(x). Determine s(-1). 2 Suppose 16*l - 4 = 17*l. Let g be (-3 - (l + 1))*9/9. Let c(r) = 3 - 1 + 4 - r. Give c(g). 6 Suppose -q + h - 6 = 4, 0 =
{ "pile_set_name": "DM Mathematics" }
+ d. Is s(g) composite? False Let i(f) = -7*f**3 - 3*f**2 - 2. Let x be i(-3). Suppose 4*s + b = 154, s - 4*b = 5*s - x. Is s a prime number? False Let q(y) = -y**3 - 3*y**2 - 4*y - 2. Let o be (-6 - -4)*7/2. Let w = 4 + o. Is q(w) prime? False Let w = 14 - 14. Suppose 0*u + 5*u - 385 = w. Is u composite? True Suppose -3*u = -7*u - b - 12, 0 = -3*u + 3*b - 9. Let j(t) = 10*t**2 - 2*t - 5. Is j(u) a composite number? True Let o(l) = 2*l**2 + 4*l - 5. Let x be o(-4). Suppose 4*z = 13 + x. Is 1 + z/(-2) + 13 a composite number? False Let g = -1 - -3. Let j be -6*(-1)/g*-1. Is (1 + j)/((-4)/190) composite? True Let t(d) = 6*d**2 + d - 2. Let h be t(-5). Let y = h + 0. Is y composite? True Let p = -6 + 18. Suppose -4*t = -64 - p. Is t a prime number? True Let y = 3 - 17. Let p be -3*(-3 - y/6). Suppose -5*w - 2*g - p*g = -449, 0 = w - 3*g - 105. Is w composite? True Let q = 10 - 5. Suppose 0 = q*h + 5*b + 10, 3*h - h - 21 = 3*b. Suppose -h*l + 14 = -28. Is l a composite number? True Let j be 2 + ((-1)/(-1) - 1). Is (-30 - 7)/(j/(-10)) a prime number? False Suppose -4*a + 3 = -a. Suppose 0 = -5*g + 34 + a. Is g composite? False Suppose -5*b - 10 = -5*v, 2*v = b + 4*b - 5. Suppose 9 + 51 = v*l. Is 2*3/l*22 composite? False Let i(s) be the first derivative of s**2 - 5*s - 2. Is i(9) a prime number? True Let a(s) = -14*s - 4. Let i(f) = 7*f + 2. Let k(p) = 2*a(p) + 5*i(p). Let z be k(5). Suppose -3*x + z = -74. Is x a prime number? True Let k be (4/3)/(6/9). Is 316/10*5/k composite? False Let z = -207 + 896. Is z composite? True Let p = -769 - -1460. Is p a composite number? False Let m be 2/3*3 + 2. Suppose -2*n + 168 = -3*i - i, -n = -m*i - 74. Let d = n + -43. Is d a prime number? False Suppose 1835 = 3*f + 2*r, 5*r + 13 = 3. Is f prime? True Let d be 1*-2 + (3 - -11). Suppose u - d = 2*o, -4*o - 10 = -u + 6*u. Suppose -82 = -2*s - 4*z, -6*s - u*z = -s - 181. Is s a composite number? True Let t = 2191 + -1150. Is t a prime number? False Let n(q) = -q + 5. Let c be n(3). Let z be (-1 - -67)/c*3. Let j = 190 - z. Is j a composite number? True Let s(d) = d + 11. Let v be 10*(1 - 0)/(-1). Let x be s(v). Is 0 - -1*204 - x prime? False Let t = -5 - -13. Suppose t*n = 11*n - 417. Is n a composite number? False Let l = 52 - 82. Let p be 5*3/(l/(-8)). Suppose 40 = p*n + 2*m, 26 = n + n - 2*m. Is n a prime number? True Let r be -2*(-2)/8*6. Suppose -5*i + 335 = -5*d, -r*d + 278 = 4*i - 2*d. Is i a prime number? False Suppose -w + 3685 = 3*p - 0*w, -4*p - 3*w + 4920 = 0. Is p a composite number? True Suppose -4*x = -3*m - 0*m + 293, x + 97 = m. Is m a composite number? True Suppose 2*a - 5*f = 11, -2*f - 14 = -5*a + 3*a. Is 2/(a/(-3820)*-5) a prime number? True Suppose -2 = q - m - 1, q + 4*m = 19. Let d = 11 + q. Is d prime? False Let w = -2754 - -6125. Is w composite? False Let z(t) = 5*t**3 + 5*t**2 - 2*t - 13. Is z(4) composite? False Suppose 3*m + 3 - 6 = 0. Let a(f) = 2*f - 4*f + m - f**2 - f + 2*f**2. Is a(5) composite? False Let i be 537/(-6)*-1*2. Suppose -2*n = n + 2*w - i, -110 = -2*n + w. Is n a prime number? False Suppose 0 = 6*r - 2346 - 768. Is r composite? True Suppose 0 = -5*m + 317 + 468. Is m a prime number? True Let c = 2 - -1. Is (69/(-4))/(c/(-28)) prime? False Suppose 0*l + 4*l - 436 = 0. Let y = 6 + l. Is y a prime number? False Let m = -12 + 26. Is (1028/6)/(m/21) composite? False Suppose 0*b = -4*b + 2560. Suppose -7*z + b = -2*z - 3*s, -2*z = 2*s - 272. Is z a prime number? True Let v = 835 - -1314. Is v a composite number? True Let k be 1 - (3 - (-927)/(-3)). Suppose 0*l + l - k = 0. Is l a prime number? True Let u = -28 + 20. Let z = u - -15. Suppose 7 + z = 4*s + 5*f, -5*f = -4*s + 34. Is s prime? False Let k(s) = 8*s + 4*s + 1 - 8. Suppose 0 = 3*i - 4*y + 1, -21 = i - 2*i - 4*y. Is k(i) prime? True Let r(n) = 2*n**2 - n - 16. Is r(-13) a composite number? True Suppose 3*t = -2*t + 3305. Suppose -206 = -2*l + 5*k, 5*l - t = -2*k - 88. Is l prime? True Suppose -y + 1041 = 3*g - 0*y, 3*g - 3*y - 1041 = 0. Is g composite? False Is ((-977)/(-4))/(5*(-4)/(-240)) prime? False Let c = 585 + 1514. Is c composite? False Is 1262/(-3)*(-4)/(40/15) composite? False Let f be (-56)/(-9) - 2/9. Let a be (-40)/f*(-72)/16. Let v = a - -5. Is v a composite number? True Let l = 129 - 64. Suppose -3*b + 4*r + l = 0, -b - 2*r - 3*r = -28. Is b composite? False Let z = -3 + 7. Let y be z/(-14) - 4689/(-21). Suppose a = 3*k + y, -2*a - 2*k = -k - 418. Is a composite? False Let w(c) = c**2 + 6*c + 2. Let h(l) = l**2 - 8*l - 4. Let u be h(8). Let z be w(u). Is z/4*2286/(-27) prime? True Let k(v) = 6*v**2 - 1. Let d be k(-1). Suppose 0 = 5*t - 3*i - 482, 104 + 192 = 3*t + d*i. Is t a composite number? False Suppose -9*f + 2645 = -16786. Is f composite? True Suppose -5*f + 7 = -13. Suppose -5*l + 25 = 5*a, f*l - a = 4*a - 7. Suppose t + 9 = -0*q - 3*q, 2*q - l = -2*t. Is t composite? True Let r(d) be the third derivative of -d**4/24 - 2*d**2. Let k be r(-2). Suppose 5*g - 111 = k*c, 0 = -4*g - 4*c + 31 + 69. Is g a composite number? False Suppose 3*w = -693 - 315. Let x = w - -650. Is x prime? False Suppose 4*y = m - 0*m + 4796, 0 = -5*m - 20. Suppose 3*c - y = -319. Is c composite? False Let r(d) = -d + 3. Let k be r(5). Let h(c) = -28*c - 3. Is h(k) prime? True Let l(i) = i - 7. Let v(r) = r - 8. Let f(q) = -3*l(q) + 4*v(q). Let d be f(0). Let x = 22 + d. Is x prime? True Let m(h) = -h + 1. Let a be m(-1). Let r(y) = 39*y - 1. Is r(a) prime? False Suppose -5*l + 2*a = 3*a - 15, l = 5*a + 3. Suppose -5*w + 68 = -l*w. Is w a composite number? True Is 25180/24 + (-1)/6 composite? False Let f(d) = d**3 + 8*d**2 - 7*d - 5. Let s(l) = 2*l**3 + 17*l**2 - 14*l - 9. Let t(i) = -7*f(i) + 3*s(i). Let h be t(-6). Suppose 0*b = -h*b + 8. Is b composite? True Let z = 345 - 92. Is z a composite number? True Let j(r) = 35*r - 4. Let h(x) = 71*x - 9. Let l(a) = -4*h(a) + 9*j(a). Let m be l(-3). Is (-6)/9*3 - m composite? True Suppose 2*v + 0*v = -12. Let i = -3 - v. Suppose 0 = h + i*h - 268. Is h prime? True Let c(z) = 10*z**3 + 2*z - 1. Let v be c(1). Let j be ((-4)/(-6))/((-2)/(-108)). Let b = v + j. Is b a composite number? False Let y(v) = -38*v**2 + 20*v - 2. Let x(l) = 13*l**2 - 7*l + 1. Let s(q) = -11*x(q) - 4*y(q). Is s(-2) prime? False Let b(q) = q**3 + 8*q**2 - 2*q - 3. Let a be b(-5). Suppose 15 = -j + a. Is j a prime number? True Suppose 0 = -m - 5 + 3. Is -2 - 2*m - -407 prime? True Let w(a) = -70*a**3 - 2*a**2 + 4*a - 5. Let i be w(2). Let b = -371 - i. Is b a composite number? True Is (-12)/(-4) + -6 + 2 + 38 prime? True Let n be (2/(-6))/((-3)/36). Suppose 2*t = w + 64, 0*t - n*t + 3*w = -130. Is t a prime number? True Let s(w) = -5*w**2 + 2*w - 2. Let b(o) = -6*o**2 + 2*o - 3. Let t(u) = 3*b(u) - 4*s(u). Is t(-5) a prime number? True Let l be (-15)/6 + 1/2. Is (47/(-2))/(1/l) composite? False Suppose 1224 = 5*p - 2141. Is p a composite number? False Is (-4)/16 - 573/(-4) a prime number? False Is (892/6)/((-2)/(-12)*4) a composite number? False Let p(w) = w**2 + 5*w - 6. Suppose -16 = f - 5*q, -3*f - 10 = q + 3*q. Let n be p(f). Suppose 2*y = -3*d - n*d + 100, -5*d = -2*y + 116. Is y prime? True Is -1146*(-1)/8 - (-4)/(-16) prime? False Let t(w) = 19*w**2 + 1. Let b(q) = q**3 + 2*q**2 - 1. Let k be b(1). Is t(k) a composite number? True Let t(q) = 2*q - 7. Let m be t(6). Suppose -2*h - 46 = -u + h, 5*u = m*h + 200. Suppose 5*o + 3*z + 0*z - 90 = 0, u = 2*o + z. Is o a prime number? False Let p = 13 - -42. Is p composite? True Suppose -26 = 3*z + 247. Let b = 188 + z. Is b a prime number? True Let h(y) be the third derivative of y**4/24 + 13*y**3/6 + y**2. Let f(g) = -g**3 + 6*g**2 - 2*g + 12. Let k be f(6). Is h(k) prime? True Let z(g) = 52*g**2 + 4*g + 5. Is z(-2) composite? True Let t(n) = -n**3 + 21*n**2 - 17*n + 5. Is t(20) composite? True Suppose 0 = n + n - 4. Let w = 2 - n. Suppose 265 = 5*z - 3*x, w*z + x - 265 = -5*z. Is z prime? True Let k be (-42)/(-8) + 2/(-8). Suppose k*l = 4 + 21. Suppose 0 = 2*c + l*r - 17, -2*r + 10 = c + 1. Is c a prime number? True Let b = 0 + 46. Is b a composite number? True Suppose -1 = -3*t + 2, 2*c - 1387 = -5*t. Is c composite? False Is (-27 - -24) + 0 + 430 a composite number? True Let t = 9 - 6. Let d = -11
{ "pile_set_name": "DM Mathematics" }
q). -1 Let v(n) = -n**3 - 9*n**2 + 2*n - 17. Let m(d) = d**3 + 8*d**2 - d + 14. Let k(i) = -5*m(i) - 4*v(i). Give k(-3). -2 Let r(c) = -c**3 + 5*c**2 - c + 3. Let i(p) = -p**2 + 3*p - 3. Let v be i(5). Let t = -13 - v. Let l = 5 - t. Calculate r(l). -2 Let r(n) = 5*n**2 + n + 10. Let k(s) = 4*s**2 + 9. Let h(b) = 6*k(b) - 5*r(b). Give h(-4). 8 Suppose -1 = -2*d - v, -5 = 3*d - 5*v - 0. Let t(z) be the first derivative of z**3/3 + z**2/2 - 3*z - 3. Determine t(d). -3 Let f(x) = 9*x + 11. Let u(m) = -5*m - 6. Let y(k) = -3*f(k) - 5*u(k). What is y(6)? -15 Let d(o) = -o. Let k(f) = 2*f + 3. Let q(z) = d(z) + k(z). Suppose -2*t - 46 = 4*v, -17 = 5*t + 8. Let h be (0 - -3)*12/v. Calculate q(h). -1 Let u(c) = -2 - c - 5 + 15. Calculate u(3). 5 Let t(a) = a - 2. Let i be t(5). Let v = -3 + i. Let m(u) be the second derivative of u**5/20 - u**4/12 + 13*u**2/2 + 93*u. What is m(v)? 13 Let i = 10 + 45. Suppose -5*g - 5*n = i, 20 = -6*g + 2*g + 4*n. Let j(u) = -u**3 - 9*u**2 - 8*u + 6. What is j(g)? 6 Suppose 132 = -3*q - 8*q. Let x be 4/q + (-76)/(-12). Let l(r) = -r**2 + 6*r - 8. Give l(x). -8 Suppose -5*r + 5*t = -20, -3*t + t = 2*r. Suppose 9 + 13 = 11*f. Let d(z) = -11 + f*z + 0*z - z - r*z. Calculate d(0). -11 Let g(y) = 19*y - 226. Let m be g(12). Let u(w) = 2*w**3 - w**2 - 3*w - 2. Give u(m). 4 Let i(w) = 2*w**2 - 6*w + 1. Let p(k) = 3*k**2 - 6*k - 3. Let j(d) = 4*i(d) - 3*p(d). What is j(-6)? 13 Let m be (-4)/(-22) + (-124)/(-44). Let q be (-1 + m)*7/(-14). Let f(z) = 8*z**2 + 2*z + 1. Give f(q). 7 Suppose 4*i - 6 = i. Suppose i*u - m = -24, 18 = -3*u - 3*m - 0*m. Let d(c) = c**3 + 10*c**2 + c + 1. What is d(u)? -9 Let i(f) = -f + 9. Let m be (3 - 3) + 1 + 6. Let r be i(m). Let a(q) be the second derivative of -q**4/6 + q**3/2 - 3*q**2/2 - q. Determine a(r). -5 Let i(m) = m**3 - 2*m**2 - 7*m + 6. Let d = -4 + 5. Suppose 0 = -5*o - d + 21. Suppose o*s + 2 + 2 = 0, -5*s = 2*p - 3. Calculate i(p). 10 Let x(n) be the first derivative of -n**2/2 + 6*n + 1. Let i = 616 + -608. Calculate x(i). -2 Let y(x) = x**3 - 3*x + 1. Let u be y(2). Suppose p + 0*p = u. Let q(l) = l**2 - 5 - p*l + 4 + 0*l**2 - 2*l**2. Calculate q(-2). 1 Let q be (-2)/7 + (-72)/42. Suppose 2*o = -2 + 30. Let n(u) = 13*u**2 + 0*u - o*u**2 - 5*u - 3. Give n(q). 3 Let n(a) = a**3 + a**2 - 3*a + 3. Let f be n(-4). Let y = -24 - f. Let m be 20/40*(y + 1). Let j(s) = s**2 - 6*s + 3. What is j(m)? -2 Let s(p) = -13*p**2 + 55*p - 143. Let j(u) = 7*u**2 - 28*u + 71. Let t(y) = -11*j(y) - 6*s(y). Determine t(17). -8 Suppose b - 6*b - 5 = 0. Let n(r) = -r**2 + 2*r + 1. Let w be n(b). Let t(i) = -i - 2. Give t(w). 0 Let u(y) = -2*y - 3*y + y + 3 - 2. Let s be u(2). Let a(i) = -2*i**2 - i - 2. Let w(n) = 9*n**2 - n + 10. Let o(x) = 5*a(x) + w(x). Determine o(s). -7 Let i(w) = 841*w**2 - 31 + 849*w**2 - 1691*w**2 - 27*w. What is i(-26)? -5 Suppose 2*y - 10 = 7*y, i + 1 = -3*y. Let d(j) = -j**2 + 7*j - 6. Give d(i). 4 Let s(z) be the first derivative of z**5/20 + z**4/8 + 6*z**3 + 30. Let f(l) be the third derivative of s(l). Give f(-2). -9 Let z be 30/(-70) - 36/14. Let x(o) = 0*o + o**2 - o - 1 + 4*o + o**3 - 4*o. What is x(z)? -16 Let o(t) be the third derivative of t**5/120 + t**4/12 - 17*t**3/3 + 10*t**2. Let c(g) be the first derivative of o(g). What is c(-5)? -3 Let b(g) = g**3 - g + 1. Let a(u) = u**3 - 15*u**2 - 3*u**3 + 19*u**2 + 5*u - 2. Let c(o) = a(o) + 3*b(o). Suppose -3*k = 13 - 4. Give c(k). 4 Let q(i) = i**2 + 3*i. Let c(j) = -j**2 - 13*j - 7. Let v be c(-12). Suppose 5*l + 3*m - 7*m + 24 = 0, -v*l - 22 = -2*m. Calculate q(l). 4 Let p(w) be the third derivative of w**4/8 + w**3/6 + 335*w**2. Determine p(-4). -11 Let g(a) be the second derivative of 16*a + 0 - 1/2*a**2 - 2/3*a**3. Determine g(4). -17 Let p = 35 - 36. Let d be 0/p + -3 - 1. Let j(c) = -4*c - 4. Calculate j(d). 12 Let d(b) be the second derivative of 19*b**6/360 + 37*b**3/6 - 32*b. Let u(n) be the second derivative of d(n). Calculate u(1). 19 Let p(m) be the second derivative of -m**6/120 + m**5/12 - m**4/12 - m**3/2 - 7*m**2/2 + m. Let n(k) be the first derivative of p(k). Calculate n(4). 5 Let s(i) = -13*i**2 - i**3 - 6 + 4*i**3 - 23*i + 24*i - 2*i**3. Suppose -v = 2*w - 2*v - 26, -v = -5*w + 65. Calculate s(w). 7 Let w(y) = y - 6. Let l be w(9). Suppose m + 0*m = -2*o + 11, -3*m + l = -4*o. Let r(q) = q - 5. Give r(m). 0 Let q(f) be the second derivative of -f**5/20 - 5*f**4/12 - f**3/6 - 3*f**2/2 - 3*f. Let c = -31 - -27. Determine q(c). -15 Let o be 0/(2/(-5)*-5). Suppose t - 21 = -4*p, -p - 5*t + 2 - 11 = o. Let c(k) = k**3 - 7*k**2 + 5*k - 5. Determine c(p). -11 Let s(o) = -2*o**2 + 2*o + 6. Let d be s(3). Let g(b) = -b**3 - 7*b**2 - 5*b + 2. Let p be g(d). Let z(f) = 2*f**2 + 5*f - 4. Calculate z(p). 8 Let p(g) = -g**3 + g**2 + 1. Let f be (-2)/4*(-128)/(-16) - -8. Suppose c - 3 + 2 = 0. Suppose b + 4*j - f = -b, -c = -j. Calculate p(b). 1 Let x = -1 + 1. Suppose -4*o - 7 = -4*f - o, f + 7 = -o. Let k be x + -4 + (7 - f). Let m(d) = -d**3 + 5*d**2 - 2*d - 4. Calculate m(k). -14 Let k(t) = -t**2 + t + 6. Let v(x) be the third derivative of -x**5/60 + x**4/24 + x**3 + 21*x**2. Let n(r) = -7*k(r) + 6*v(r). Determine n(0). -6 Let x(g) = 13 + 11*g + 16*g + 12*g - 38*g. Determine x(-6). 7 Let j(c) = -c**3 + 13*c**2 + 10*c + 12. Let w(t) = t**2. Let n(o) = j(o) - 5*w(o). What is n(9)? 21 Let y(f) = -2*f**3 + 5*f - 1. Let d(g) = -g**3 + g**2 + 2*g - 1. Let q(a) = 3*d(a) - y(a). Calculate q(3). 1 Let a(i) be the first derivative of -i**3/3 + 11*i**2/2 - 20*i + 295. What is a(7)? 8 Let g(i) be the third derivative of -1/6*i**3 + 0*i + 1/60*i**5 + 1/3*i**4 + 0 - i**2. Let o = -3935 - -3929. What is g(o)? -13 Let r(x) = 2*x + 31. Let h(j) = -3*j - 48. Let f(n) = 5*h(n) + 8*r(n). Calculate f(-12). -4 Let m(l) = -l**2 - 5*l + 41. Let g be m(4). Let q(z) be the second derivative of 7/2*z**2 + 1/20*z**5 + 0 - 7/12*z**4 + z**3 - g*z. Give q(6). 7 Suppose -3*q + 19 + 16 = -4*z, 53 = 5*q - 4*z. Let a(w) = w**3 - 10*w**2 + 6*w + 7. Determine a(q). -20 Let k be (-54)/4*(-20)/15. Suppose k = 4*i + 2*i. Let a(l) = -l**3 + 4*l**2 - 2. Give a(i). 7 Let g be 6 - (4 + -2 - 1). Let r(y) = 1 + y**2 - g*y + y + 1 + 0*y. Calculate r(3). -1 Let l(o) = o - 2. Let f be l(7). Let x(n) = 4*n + 2*n - f*n - 3. Give x(5). 2 Let x(o) = 1. Let a(v) = v + 7. Let g(y) = a(y) - 6*x(y). Let d(h) = h + 1. Let c(l) = 3*d(l) - 2*g(l). Determine c(-5). -4 Let x(m) = 8*m - 3. Let l be x(1). Let b(h) = 29*h**2 - 27*h**2 + 1 + l*h - 3. Suppose 10 = -3*k + 2*k - 3*s, 5*k - 5*s = -10. What is b(k)? 10 Let p be 2/(-17) - ((-95)/85 + -4). Let l(u) = 0*u + 2 + 5*u - 3*u. What is l(p)? 12 Let y(a) = -32*a**2 - 24*a**2 + 60*a**2 + 1. What is y(1)? 5 Let v = 13 - 8. Let i(f) = 5*f - 6*f + v - 8*f**2 - 4. Let d be (-9)/(45/(-20)) + -3. What is i(d)? -8 Suppose 174 = -30*o - 6. Suppose 5*h + 2 = 27. Let q(j) = j**3 - j**2 + 1. Let p(w) = 6*w**3 - 6*w + 5. Let l(t) = h*q(t) - p(t). Calculate l(o). 0 Let x(j) = -j**3 - 4*j**2 - 3. Let m be ((-1)/3)/(5/(-135) - 0). Let p = 5 - m. Give x(p). -3 Let i(s) = -2*s - 11. Let y(v) = -3*v - 9. Let b(q) = 4*i(q) - 3*y(q). Determine b(12). -5 Suppose 4*b = 25 - 5. Let j(n) = n - 3*n - 9 + 10 + n. Determine j(b). -4 Suppose 2*f + 4 = 16. Let d = -13 + f. Let b(q) be the first derivative of -q**2/2 - 4*q + 3. What is b(d)? 3 Let z(p) = p + 5 - 8*p + 0 + 6*p. Let y be z(2). Suppose y*r - 12 = 3. Let k(w) = -w**3 + 4*w**2 + 4*w - 1. Calculate k(r). -6 Let d = -731 - -737. Let m(x) = x**2 - 15*x + 2. Determine m(d). -52 Suppose -3 = -23*r + 20*r. Let v(o) = -10*o**2 + o. Let w(h) = 21*h**2 - 2*h. Let u be -5 + (4 - 2 - 4). Let p(s) = u*v(s) - 3*w(s). Determine p(r). 6 Let u(f) = -3*f + 10. Let q(m) = m**3 - 4*m**2. Let j be q(4). Calculate u(j). 10 Let r(y) = -3*y - 46. Let h(n) = -2*n - 25. Let c(f) = -7*h(f) + 4*r(f). Suppose -4*b + 7*u = 3*u - 16, -4*u = 5*b - 38. Calculate c(b). 3 Let m be ((-8)/6)/(4/18). Let l(f) = -f - 1. Let d(p) = 7*p + 4. Let k(q) = m*l(q) - d(q). Determine k(5). -3 Let m(j) = 2699310*j + 1 + 5*j**2 - 2699310*j. Let u = 3 + -4. Give m(u). 6 Let i(a) = 1112*a + 4 - 1116*a - 1. What is i(6)? -21 Let q(v) = 3*v + 7. Let t be q(-6). Let n(s) = s**3 + 11*s**2 - s - 11. Let l be n(t). Let g(u) = -u + l*u + 3*u*
{ "pile_set_name": "DM Mathematics" }
e (3 - 3 + 2)*(2*w - 3 + 3 + (2*w - w - 3*w)*(-2 + 0 + 0) + 4 - 4 + 2*w - 3*w + w + 0*w + (1 - 2 + 5)*(2 - 3*w - 2) + w + 1 - 1) to c + h*w and give h. -10 Rearrange -5*h**3 + 244*h - 244*h + 64 - h**3 + 14*h**3 to i*h + x*h**2 + m*h**3 + t and give t. 64 Rearrange (19*r**2 - 77*r + 77*r)*(1831 - 900 + 1641*r - 931) to the form k*r**3 + d + x*r + u*r**2 and give k. 31179 Rearrange (-4*o - 6*o + 5*o)*(-177*o - 62*o + 79*o)*(-4 - 2 + 2) to the form x + i*o + s*o**2 and give s. -3200 Express (-8*w**2 + 21*w**2 + 7 - 3 + 53*w**2)*(-257 - 15*w**2 + 257) in the form l + b*w**2 + z*w + d*w**4 + x*w**3 and give b. -60 Express -19*w**2 - 5*w**2 - 4 - 12 + 12*w + 22 as d*w**2 + v*w + t and give v. 12 Rearrange (2 + 9 - 7 - 3*c)*(-c**2 - 4 + 4) + 34843*c**2 - 34843*c**2 + 213*c**3 to the form m + y*c**2 + z*c + v*c**3 and give v. 216 Rearrange -8*u + 4*u**3 + 20 + 27*u - u**2 + 9*u - 19 + 10*u to r*u**2 + h + j*u + x*u**3 and give x. 4 Rearrange -15 - 297384*q**3 + 3*q - q - 5*q**2 - 3*q + 297382*q**3 to d*q**2 + i + t*q + z*q**3 and give d. -5 Rearrange 0*s - 6*s**3 - 13*s - 38*s**3 + 11*s + 12 to the form f*s**2 + v + z*s + p*s**3 and give p. -44 Rearrange -3 + 2 - 127791*l**2 + 6*l + 1 + 124571*l**2 to g*l**2 + p*l + h and give g. -3220 Rearrange -3*m + m - m + (-5 - 11 + 6)*(114*m + 3*m + 10*m) to y + h*m and give h. -1273 Rearrange (4*n**3 - 2*n**3 - 3*n**3)*(0*n - n - 4*n) + 4*n**4 - 9*n**4 - 4*n**4 - 320 + 15*n**4 + 320 to the form k*n + b*n**4 + u*n**3 + p + w*n**2 and give b. 11 Express (312*i - 91*i - 7220 + 7222)*(-1 + 1 + 2*i) in the form t*i**2 + d*i + j and give d. 4 Rearrange 5*n**2 - n**2 + 42*n - 31*n - 10*n + 11*n**2 + 10 to v + d*n**2 + h*n and give v. 10 Rearrange (-6 + 6*r**2 + 6)*(-5*r + 348 - 481 + 2*r) to the form o*r**2 + x*r + c + u*r**3 and give o. -798 Express -13 + q**3 - 2*q + 6*q**4 - q**2 + 8*q**4 + 10 + 8*q**4 - 27*q**4 in the form n*q**2 + z*q**3 + c + k*q**4 + b*q and give z. 1 Rearrange -5 - 921309*i**2 + 0 - 22594*i + 5 + 921311*i**2 to v*i**2 + z + q*i and give v. 2 Rearrange (6 + 14 - 19)*(-467*d**3 - 86802 + 86802)*(2 + 1 - 4) to the form z*d**2 + i*d**3 + b + j*d and give i. 467 Rearrange 36 + 156*n**3 - 2*n - 646*n**3 - n**4 + 163*n**3 + 165*n**3 + 163*n**3 - n**2 to the form v*n**4 + z*n**2 + o*n**3 + m + t*n and give z. -1 Express 8672*w - 17950*w + 8572*w as k + q*w and give q. -706 Rearrange h - 1519 + 53 + 1422 + 11*h**2 to the form q*h**2 + v*h + o and give v. 1 Express -3 - 2*q + 3 + (-77*q - 112*q - 203*q + 113*q)*(-14 + 21 + 12) as c + s*q and give s. -5303 Express (25 - 25 - 4*b + (-3 + 3 - 2)*(0 + 0 + 2*b))*(10*b - 29*b + 9*b) as y*b**2 + k + h*b and give y. 80 Rearrange -293*b + 25 - 362*b - 351*b - 32 + 11 to the form f*b + o and give o. 4 Express (-1 + 2*d + 1)*(7 - 6*d - 7) + (1 + 0 - 3)*(3*d**2 + 5*d**2 + 4*d**2)*(-1 - 5 + 4) as p*d**2 + o*d + m and give p. 36 Express 48 - 25*y - 10593*y**2 + 10598*y**2 - 49 as r*y**2 + l*y + i and give i. -1 Rearrange (-b - 1 + 1)*(4 - 2 + 0) - 669 - 1343 - 4489 + 4*b to the form d*b + x and give d. 2 Rearrange (-573 + 203 + 16831*w**2 + 370 - 1928*w**2)*(-2*w + 0 + 0) to the form l*w + h*w**2 + j*w**3 + p and give j. -29806 Rearrange (-593 + 1759 - 426 + 6456)*(m - 21*m**3 - 2*m + 20*m**3) to the form y*m**3 + l + g*m + b*m**2 and give b. 0 Rearrange 76*w + 75*w + 12 - 18 - 152*w + 11*w**2 to the form s*w + o*w**2 + x and give s. -1 Express (-t**2 - 3*t**2 + t**2)*(-13 - 6 - 12)*(22 - 29 + 22) as j*t**2 + r + l*t and give j. 1395 Rearrange 20*y**3 - 263*y + 8*y**3 + 266*y + ((-3 + 5 + 0)*(-4 + 1 + 5) + 5 - 5 + 6)*(-6 + 9*y**3 + 6) to the form o + r*y + k*y**3 + l*y**2 and give k. 118 Rearrange 24*k - 2*k + 83 + 51*k - 37*k to s + t*k and give t. 36 Rearrange (-80*f - 326 + 163 + 160)*(-15*f**2 + 164*f**2 - 9*f**2) to the form i*f**2 + a*f**3 + t + k*f and give a. -11200 Rearrange -958*i**4 + 11*i**2 + i**3 + i - 16*i**2 + 957*i**4 + 7*i**2 + 5 to n*i**2 + m*i**4 + x*i**3 + v + r*i and give n. 2 Express (243*s + 1321*s + 1541*s)*(3 - 2 + 1) in the form h + b*s and give h. 0 Express 18810*p**3 - 18813*p**3 - 35*p - 5*p**4 + 3*p**4 as x*p**2 + u*p + a*p**4 + v*p**3 + m and give a. -2 Rearrange -31*n + 749 - 749 + 2*n + 3*n - 6*n + (-5 + 3 + 1)*(3*n + 0*n - 2*n) + n - 2*n - 2*n + (-4*n - n + 3*n)*(1 - 1 + 1) to the form l + p*n and give p. -38 Express (13 + 4 + 1)*(-4 + 4 + 3*h)*(8 + 15 - 3 - 3 + 1) as z*h + a and give z. 972 Rearrange -x**2 - 3*x + 3*x + 292*x - 32*x**2 - 292*x + (3*x - 4*x + 0*x)*(-2*x - 2 + 2) - 38*x**2 - 41*x**2 + 11*x**2 to p*x**2 + d + o*x and give p. -99 Express (-4*t**2 + 2*t**2 + 4*t**2)*(-6 + 10 - 5) + (44*t - 1994 + 1994)*(4 - t - 4) in the form w*t + p*t**2 + k and give p. -46 Express 11 - 12 - 21*c**3 + 76*c**2 - 15*c**3 + 37*c**3 + c**4 - 3*c**4 - 8*c in the form j + s*c**4 + y*c + v*c**2 + a*c**3 and give a. 1 Rearrange 7*b**2 + 4*b + 78 + 82 - 157 - 18*b**2 + 6*b**3 + 9*b**2 to w*b + c*b**2 + h*b**3 + d and give h. 6 Express -40*i**3 + i**2 + 4 - 5*i + 47*i**3 + 2*i**3 as s*i**2 + o*i + t + p*i**3 and give s. 1 Express -286*b - 137*b - 56*b - 164 + 162 - 8*b**2 in the form c*b**2 + a + g*b and give a. -2 Rearrange 9722 - 19442 + 9719 + 640*q to the form a*q + i and give i. -1 Rearrange -3690*p - 1646*p - 6784*p + 320*p to the form h*p + m and give h. -11800 Rearrange -3224*t + 8513*t - 9530*t - 8747*t - 12230*t to l + f*t and give f. -25218 Express (0 - 2*d + 0)*(37*d - 468 + 464 + 70*d + d**3 - d**2) in the form z + n*d + x*d**3 + c*d**4 + g*d**2 and give n. 8 Express (-8 + 3 - 30)*(0*v - v + 2*v)*(-3*v**3 + v**3 - 2*v**3) - 2*v**4 + 2*v**4 + 2*v**4 in the form j*v**4 + d*v + o*v**2 + g*v**3 + h and give j. 142 Rearrange -61*o - 176*o + 3*o**2 - 55*o + 292*o + 482 to b*o + t + p*o**2 and give t. 482 Rearrange -1673 + 5035 + 3928*z - 1684 - 1678 to l*z + x and give l. 3928 Rearrange -z - 4*z + 2*z + 1 - 1 + 2*z + (-2*z - 2*z + 2*z)*(1 + 0 - 3) + 22 - 102*z + 2 - 24 - 4*z - z + 4*z to c*z + l and give c. -100 Express -4*k + k**2 + 15*k**4 - 32*k**4 - 8*k**2 + 39*k**4 in the form n*k**4 + p*k**2 + b + s*k**3 + v*k and give p. -7 Express -23*r + 57*r**2 + 76*r**2 + 13*r + 8*r - 4*r**3 in the form i*r + f*r**2 + y + p*r**3 and give p. -4 Express -20002*h**3 + 10000*h**3 - 4 + 2 + 10003*h**3 - 2*h + 15*h**2 in the form z + f*h + d*h**2 + y*h**3 and give z. -2 Express -608*z - 94397 - z**2 - 628*z + 94399 in the form p*z + c*z**2 + j and give p. -1236 Express (-v**2 + v - v)*(-945 + 535 + 410 - 191607*v) as q*v + h + d*v**3 + i*v**2 and give d. 191607 Express 444*l + 1922*l + 0 + 0 as w*l + y and give w. 2366 Rearrange -609*t - 34 + 17 + 18 to f*t + m and give m. 1 Rearrange (14*t - 6*t - 27*t)*(-54*t + 54*t - 47*t**2 + (2 + 0 - 1)*(4 - 2*t**2 - 4)) - 4*t**3 + 3*t**3 - t**3 to b*t**3 + q + n*t + m*t**2 and give b. 929 Rearrange 198*i - 3881 + 24*i**2 + 3883 - 17*i**2 to p + v*i + a*i**2 and give a. 7 Express -3*p - 11*p**3 - 34 + 11*p**3 - 121*p**4 + 104*p**4 - 10 + 3*p**2 as q*p**2 + z*p**4 + d + a*p + l*p**3 and give a. -3 Express (25 - 4 + 102)*(-2 + 0 + 0)*(-123*y + 94*y - 1 + 2) in the form c*y + r and give c. 7134 Express a**2 + 280*a + 13 - 9 - 4 + (2*a - 2*a + 2*a**2)*(3 - 2 + 1) + 2135*a - 2135*a + 51*a**2 as h*a + z + c*a**2 and give z. 0 Rearrange -7*a + 6 + 2*a**2 + 6 + 7 + 9 to the form f*a + s*a**2 + y and give y. 28 Express (1 - 33 + 12 - 25)*(2 + 4*w - 3*w + w)*(-12*w**3 + 28*w**3 + 13*w**3) as i*w**3 + y*w**4 + m*w**2 + q + x*w and give i. -2610 Express (0*v**2 + 0*v**2 + v**2)*(10595 + 859*v - 10595)*(4*v - 2*v + 0*v) in the form b*v**4 + g*v + h*v**2 + z*v**3 + t and give b. 1718 Rearrange 1325*r - 668*r + 1951*r to the form k*r + a and give k. 2608 Rearrange -32681*h - 32688*h + 344*h**3 + 65370*h to the form m*h + k*h**3 + q + w*h**2 and give w. 0 Express -28*y**4 - 1709*y**3 + 58*y**4 - 31*y**4 - 6*y**2 + 568*y**3 in the form j + r*y**2 + o*y**4 + n*y**3 + a*y and give n. -1141 Rearrange (-3*g - 2*g + 3*g)*(-2 - 1 + 4) + (225*g - 22*g - 34*g)*(-2 + 1 - 1) to h + x*g and give x. -340 Express -2*z**4 - 2*z**4 + z**4 + (76*z + 22*z + 4*z)*(2*z**3 + 0*z**3 + 3*z**3) as j + d*z**3 + o*z + u*z**4 + f*z**2 and give u. 507 Rearrange (0*v**3 + 2*v**3 + 0*v**3)*(v - 4*v - 4*v - 4*v)*(91 - 44 - 55)*(4 - 1 - 5) to the form i
{ "pile_set_name": "DM Mathematics" }
(8))**2 - (-3*(sqrt(55)/sqrt(5) + 2))**2)*1. -36*sqrt(11) - 91 Simplify ((sqrt(80) + 2 + -2 - sqrt(80) - ((sqrt(80) - (-5*(sqrt(80)*2 + sqrt(80) + sqrt(80)) + sqrt(80))) + sqrt(80) + sqrt(80))) + 5)**2. -880*sqrt(5) + 38745 Simplify 2*4*(5 + -1*sqrt(1216)). -64*sqrt(19) + 40 Simplify (-4*(-4 + -4*(sqrt(33)/(sqrt(6)/sqrt(2)) + (sqrt(66)/sqrt(3))/sqrt(2))))**2. 1024*sqrt(11) + 11520 Simplify -3 + 1*(5*sqrt(1008)*-1 + (sqrt(1008) + ((sqrt(1008) + sqrt(1008) + 0)*5 - sqrt(1008)))**2). -60*sqrt(7) + 100797 Simplify 5 + (2*5*sqrt(35) - sqrt(35))/((sqrt(60)/sqrt(2))/sqrt(6)). 5 + 9*sqrt(7) Simplify sqrt(78)/(-2*sqrt(24))*-3 + -1. -1 + 3*sqrt(13)/4 Simplify (4*(((-2 + sqrt(1539))*2 - sqrt(1539))*-6 + 2))**2. -44928*sqrt(19) + 897280 Simplify (-1 + 3 + (-1 + (1*sqrt(7) - sqrt(7)))*5 + -1)**2. 16 Simplify (sqrt(896) + (-4*sqrt(896) + sqrt(896) - sqrt(896)))/sqrt(8) + (sqrt(126)/sqrt(18))/sqrt(9). -35*sqrt(7)/3 Simplify (sqrt(204)*4*-3 + sqrt(204) - sqrt(204))/(-3*sqrt(12)*1). 4*sqrt(17) Simplify (sqrt(147) + -3*(sqrt(147) + (sqrt(147)*-1 + sqrt(147) - sqrt(147)) + sqrt(147)) - 6*(sqrt(147)*1 - sqrt(147)))**2 - (sqrt(147)*2*3 + -1). -42*sqrt(3) + 589 Simplify 3*sqrt(5)*1*4 + (sqrt(720) - (2*sqrt(720)*-4)**2). -46080 + 24*sqrt(5) Simplify ((((sqrt(209) - (sqrt(209) - sqrt(209)*-2)) + sqrt(209))*-4)/sqrt(11) + 3)*4. 12 + 16*sqrt(19) Simplify -4 + ((-3 + (sqrt(272) - -2*sqrt(272)) - (sqrt(272) + sqrt(272)*-1 + -2 + sqrt(272)))**2 - -5*((sqrt(272) + 0)**2*1 - sqrt(272))). -36*sqrt(17) + 2445 Simplify ((sqrt(121) - (-1*sqrt(121)*-2 + sqrt(121) - sqrt(121))) + -5*sqrt(121)*1)/((sqrt(132)/sqrt(3))/sqrt(4) - (sqrt(33)/sqrt(3)*1 - sqrt(11))). -6*sqrt(11) Simplify (5*(4*sqrt(77) - sqrt(77)))/(sqrt(7) - sqrt(112)/sqrt(4)). -15*sqrt(11) Simplify (sqrt(405) - (sqrt(405) + 5))*6 + sqrt(405)*-4*5. -180*sqrt(5) - 30 Simplify 0 + 3 + sqrt(156)/(sqrt(192)*-5) + -1. -sqrt(13)/20 + 2 Simplify (sqrt(2541)*-3)/sqrt(3) + (sqrt(28)/(sqrt(16) - sqrt(4)) + 3)**2. -27*sqrt(7) + 16 Simplify (-1*sqrt(875)*-1 + sqrt(875) - sqrt(875))/(1*sqrt(80)*2). 5*sqrt(7)/8 Simplify (((sqrt(15) + (sqrt(1215)*-1 + sqrt(1215) - sqrt(15)))*5)/((2*sqrt(3)*1 - sqrt(3))*-2))**2. 0 Simplify ((5*sqrt(1377)*-1 - sqrt(1377)) + (sqrt(1377) + sqrt(1377) + -3)*-3)**2. -1944*sqrt(17) + 198369 Simplify (-6*sqrt(55)*1)/(sqrt(132)/(sqrt(36)/sqrt(3))) - (sqrt(25) - (sqrt(200)/sqrt(32) - sqrt(25)))/(-5*sqrt(10)/sqrt(2)). -57*sqrt(5)/10 Simplify (sqrt(11)*-3*-1 + 4 + -5 + 2)**2*4*-2. -800 - 48*sqrt(11) Simplify 2 + (sqrt(35) - sqrt(105)/sqrt(3)*-3)/(-6*sqrt(14)/sqrt(2) + sqrt(7)). -4*sqrt(5)/5 + 2 Simplify -3 + (sqrt(891) - 6*(sqrt(891) - sqrt(891)*2))**2*4 + 1. 174634 Simplify 6*((sqrt(30)/(sqrt(3)*-4))/(sqrt(125) + 4*sqrt(125)))**2. 3/2500 Simplify 1 + sqrt(45)/sqrt(144) + -5 + ((2*sqrt(80)*2 + sqrt(80))*1)**2. sqrt(5)/4 + 1996 Simplify (-1 + sqrt(242))**2 + 3 + (sqrt(2) - ((sqrt(2)*-2)**2 + 2)) + sqrt(12)/sqrt(54). -62*sqrt(2)/3 + 236 Simplify ((sqrt(32) + -3 + sqrt(128)/sqrt(4) - (-1*sqrt(32) + -4)) + 0)**2. 24*sqrt(2) + 289 Simplify (-6*(-1*(0 + sqrt(448) + 2) + 3))**2. -576*sqrt(7) + 16164 Simplify (sqrt(605) + -5*(1 + sqrt(605)) + -4 + sqrt(605)*2 + sqrt(605) + -3 + -5)**2. 374*sqrt(5) + 894 Simplify (sqrt(99)*-5 + -4 - (1 + sqrt(11) + 3 - (sqrt(44) + (sqrt(1100) - sqrt(44)))/sqrt(4)))**2. 176*sqrt(11) + 1395 Simplify 0 + (sqrt(20))**2 + 3 - 6*sqrt(5)*-4*-2. -48*sqrt(5) + 23 Simplify ((4 + sqrt(13)*4)*3 - (-2 + sqrt(26)/sqrt(2) + 5))**2. 198*sqrt(13) + 1654 Simplify 4*(2 + (4 + -5 + -4*(sqrt(1088) + 0))**2). 256*sqrt(17) + 69644 Simplify ((3*1*sqrt(24))/sqrt(12) - (sqrt(14) - -1*sqrt(28)/sqrt(2))/sqrt(7)) + 5. sqrt(2) + 5 Simplify -4*(sqrt(2057) - (sqrt(2057) + -1))*6 + 1. -23 Simplify (((sqrt(66)*4)/sqrt(11))/(sqrt(24)/(-3*sqrt(12))))**2. 432 Simplify (-4*(-1*sqrt(1377)*6 - ((sqrt(1377) - (sqrt(1377) + 0)) + 0)))**2. 793152 Simplify 3*-1*(sqrt(45)/sqrt(9) + 2 - sqrt(35)/(sqrt(70)/sqrt(10))). -6 Simplify 4 + ((5 + -4*sqrt(72))*-6*5)**2. -216000*sqrt(2) + 1059304 Simplify ((sqrt(171) + -5*-1*sqrt(171) + sqrt(171))/(-4*sqrt(225)))**2. 931/400 Simplify (((sqrt(108)/sqrt(3))/sqrt(9))/sqrt(2))**2 + -4 + ((sqrt(2)*-2)**2 + 1 - sqrt(10)/(2*sqrt(5))). -sqrt(2)/2 + 7 Simplify 4*(2 + -4 + (1 + sqrt(1900) - 2*sqrt(38)/sqrt(2))). -4 + 32*sqrt(19) Simplify (sqrt(192) - sqrt(192)*-5*-4 - (sqrt(147) + -4)*-6)**2. 5280*sqrt(3) + 36876 Simplify (-2*sqrt(1584)*-5 + (sqrt(11) + (sqrt(66)/sqrt(2))/sqrt(3) - (sqrt(11) + 0)*-4))**2. 174636 Simplify 2*((sqrt(76) + sqrt(76) + -2*sqrt(76)*4)/(sqrt(144) - sqrt(4)))**2. 1368/25 Simplify -4*(3 + sqrt(1008)*-5 + 1 + sqrt(1008) + 4)**2. -64768 + 3072*sqrt(7) Simplify 4*(sqrt(1134) - (sqrt(1134) - sqrt(1134)*1)*6)/((sqrt(8) - (sqrt(8) + 2*sqrt(8) - sqrt(8)))*-3). 6*sqrt(7) Simplify (4*sqrt(91)*-1)/((sqrt(21) + sqrt(525))/sqrt(3)) + 1. -2*sqrt(13)/3 + 1 Simplify -5 + ((sqrt(304) - (-1 + sqrt(304))*-4 - sqrt(304) - sqrt(304))**2 - sqrt(304)*2*-6) + -1*(sqrt(304) + -1 + -2). -52*sqrt(19) + 2750 Simplify -5 + (sqrt(38)/(sqrt(300)/sqrt(6)) - ((sqrt(1539) + -1)*-3)**2). -13865 + 811*sqrt(19)/5 Simplify (sqrt(3744)*-3 - sqrt(3744))/(sqrt(288)*2 + sqrt(288) + sqrt(288) + sqrt(2) + sqrt(2)). -24*sqrt(13)/25 Simplify 4*((sqrt(68) + 3*sqrt(68)*-3 + sqrt(68) - sqrt(68)) + -1)*3. -192*sqrt(17) - 12 Simplify (sqrt(3520) - (sqrt(3520) + 3*sqrt(3520))*-4)/(-2*(sqrt(891) + sqrt(891)*3 - sqrt(891))). -68*sqrt(5)/27 Simplify 6*(0 + ((sqrt(300) + -1)*-6 - sqrt(300)) + -2)**2*1. -3360*sqrt(3) + 88296 Simplify (-4*((2 + (sqrt(343) + -1 - sqrt(343)) - (sqrt(343) + sqrt(343) + 1*sqrt(343) + 4)) + 3 + 4))**2. -2688*sqrt(7) + 49648 Simplify -3 + (sqrt(128) - (sqrt(128) + 0))*3 - (0 + 4 + sqrt(128) + -1). -8*sqrt(2) - 6 Simplify (-3*(sqrt(1408) + sqrt(1408)*3 - sqrt(1408)))/((sqrt(55) + -4*(sqrt(55) - sqrt(385)/sqrt(7)) + sqrt(55))/sqrt(5)). -36*sqrt(2) Simplify -1 + 3*(sqrt(55) - 1*(sqrt(55) - sqrt(495)))/(sqrt(1584) + sqrt(1584)*3 - sqrt(1584)). -1 + sqrt(5)/4 Simplify 6*(1*2*(sqrt(44) - -2*sqrt(44)))/((sqrt(3564)*1)/sqrt(11)). 4*sqrt(11) Simplify -3*(-2 + 6*(sqrt(91)/(-1*sqrt(7)) - sqrt(13)) + ((sqrt(52) + 5 - sqrt(13)) + -3)**2). -45 + 24*sqrt(13) Simplify ((-1*sqrt(110)*3)/(2*sqrt(10)*-5))**2. 99/100 Simplify 1*(3*(-2 + (sqrt(7) - (sqrt(7) + 4 + sqrt(63) - sqrt(7))) + 3) + -1)**2. 120*sqrt(7) + 352 Simplify -5*sqrt(176) + sqrt(44)*-2 - ((sqrt(132)/sqrt(4))/sqrt(3) + -5 + (sqrt(11) + 3)**2). -31*sqrt(11) - 15 Simplify ((sqrt(735) + -1*sqrt(735) - sqrt(735))*-4)/((sqrt(15)*2)/sqrt(3) - (sqrt(80)/sqrt(4))/sqrt(4)). 28*sqrt(3) Simplify 4 + (sqrt(77) + (sqrt(77) - (sqrt(77) - (sqrt(77) - sqrt(77)*-2))*5) + sqrt(77))/((-2*sqrt(63))/sqrt(9)). -13*sqrt(11)/2 + 4 Simplify (-3 + sqrt(1573) + 2 + sqrt(1573))**2 + -5*1*sqrt(13)*-1. -39*sqrt(13) + 6293 Simplify 2 + (sqrt(833) + 6*(sqrt(833) + 1 + sqrt(833) + sqrt(833)))**2 + 0 + -2. 1596*sqrt(17) + 300749 Simplify ((2*sqrt(475) + 1 - sqrt(475)) + sqrt(475))**2 + 1 + (sqrt(76) + -1)**2. 16*sqrt(19) + 1979 Simplify -1*(((sqrt(88)*-1)/sqrt(8) + sqrt(1100)*1)*4*4)**2. -228096 Simplify (-4 + (sqrt(171)/(sqrt(18)/sqrt(2)) - sqrt(19)) - (4 + ((sqrt(1900) - (sqrt(1900) - (sqrt(1900) + 0 + sqrt(1900)))) + sqrt(1900))**2))*1. -17108 Simplify (-5 + 1*(sqrt(272)*3 + -1 + sqrt(272) + 4))**2 + -4. -64*sqrt(17) + 4352 Simplify (sqrt(91) - 6*(sqrt(91) + -1*sqrt(91) + sqrt(91)) - (sqrt(91) - (sqrt(91)*2 + sqrt(91) + sqrt(91))*-6))/(-3*sqrt(112)*-3 - sqrt(112)). -15*sqrt(13)/16 Simplify (sqrt(114)/(2*sqrt(6)) + 5)**2 - (2 + sqrt(1900)*-2)**2. -30297/4 + 85*sqrt(19) Simplify (sqrt(42)/(sqrt(12)/sqrt(2)) + sqrt(7) + 1 + -3 + -1*-1*2*(sqrt(7) - sqrt(112)))**2. 16*sqrt(7) + 116 Simplify (sqrt(18)*1*-1)/sqrt(6) + (sqrt(54)/(sqrt(4)/sqrt(2)))/sqrt(9). 0 Simplify -1 + ((sqrt(72)*-1 + sqrt(72) + sqrt(72) + sqrt(72))*2 - (-2*sqrt(72) - sqrt(72))*-6)**2. 14111 Simplify -3*(-3 + (-4 + 2*(sqrt(13) + 2 + 0 + sqrt(13)))**2). -615 Simplify (sqrt(156)/(sqrt(12)/sqrt(4))*-2 + sqrt(624)/(sqrt(48)/sqrt(4)) + -3*sqrt(832))**2. 8788 Simplify (0 + sqrt(68))**2 + 4 + 1 + ((-4 + (sqrt(85)*2)/sqrt(5))*-5)**2. -400*sqrt(17) + 2173 Simplify (1*sqrt(10)/sqrt(45) - (0 + -1*1*sqrt(2)))**2. 32/9 Simplify -1 + (sqrt(180) - 2*sqrt(180))**2 + sqrt(5) + 0 + 4. sqrt(5) + 183 Simplify 4*((sqrt(684) + 3)*-1 - (-2 + -2*sqrt(
{ "pile_set_name": "DM Mathematics" }
. 2, 813 What is q in -4*q**3/5 + 16*q**2/5 + 48*q/5 = 0? -2, 0, 6 Let -4*o**5 + 28*o**4 - 8*o**3 - 112*o**2 + 96*o = 0. What is o? -2, 0, 1, 2, 6 Determine p, given that 2*p**2 + 28*p + 48 = 0. -12, -2 Factor -20*r**3/3 + 1282*r**2/3 - 20608*r/3 + 2048/3. -2*(r - 32)**2*(10*r - 1)/3 Determine b so that 31*b**3 + 33*b**2 - 60*b - 4 = 0. -2, -2/31, 1 Factor -3*k**2/2 + 561*k. -3*k*(k - 374)/2 Let 2*w**2/9 - 2716*w/9 + 2714/9 = 0. What is w? 1, 1357 Find f such that -15*f**2 - 380*f + 260 = 0. -26, 2/3 Factor -3*x**2/5 + 6*x + 45. -3*(x - 15)*(x + 5)/5 Solve y**5/6 + y**4/3 - y**2/3 - y/6 = 0 for y. -1, 0, 1 Suppose 4*v**2/3 - 26*v - 40/3 = 0. What is v? -1/2, 20 Let -5*h**2 - 400*h - 8000 = 0. What is h? -40 Factor -5*l**2 + 280*l - 1920. -5*(l - 48)*(l - 8) Factor -5*u**3 - 45*u**2 + 200*u + 240. -5*(u - 4)*(u + 1)*(u + 12) Suppose 30*y**3 + 185*y**2 + 300*y + 45 = 0. What is y? -3, -1/6 Suppose -v**2/3 + 551*v/3 - 366 = 0. What is v? 2, 549 Let -w**2/2 + 93*w/2 + 47 = 0. Calculate w. -1, 94 Factor 5*w**2 + 65*w - 570. 5*(w - 6)*(w + 19) Let -3*w**5 - 113*w**4 - 899*w**3 - 2527*w**2 - 2578*w - 840 = 0. What is w? -28, -5, -3, -1, -2/3 Suppose -2*r**3/7 - 48*r**2/7 = 0. Calculate r. -24, 0 Factor -3*i**2/2 - 69*i/2 + 75. -3*(i - 2)*(i + 25)/2 Factor -4*z**3 + 252*z**2 + 1384*z - 1632. -4*(z - 68)*(z - 1)*(z + 6) Suppose 5*t**5 - 100*t**4 + 420*t**3 - 710*t**2 + 535*t - 150 = 0. Calculate t. 1, 2, 15 Suppose 3*w**2/2 + 60*w + 117/2 = 0. Calculate w. -39, -1 Let -2*s**3/9 - 20*s**2/9 - 34*s/9 - 16/9 = 0. Calculate s. -8, -1 Factor 2*x**4/13 + 4*x**3/13 - 38*x**2/13 - 40*x/13. 2*x*(x - 4)*(x + 1)*(x + 5)/13 Let 3*c**3/5 + 21*c**2/5 - 48*c/5 - 336/5 = 0. What is c? -7, -4, 4 Factor k**5 - 3*k**4 + k**3 + 3*k**2 - 2*k. k*(k - 2)*(k - 1)**2*(k + 1) Solve 30*m**5 + 27*m**4 - 249*m**3 - 342*m**2 + 84*m + 72 = 0 for m. -2, -2/5, 1/2, 3 Find w, given that 6*w**4 + 3*w**3 - 9*w**2 = 0. -3/2, 0, 1 Solve -2*f**3 + 300*f**2 - 592*f = 0 for f. 0, 2, 148 Suppose i**4/10 + 29*i**3/5 + 167*i**2/10 + 11*i = 0. What is i? -55, -2, -1, 0 Factor 2*t**2/9 + 142*t/3 + 424/9. 2*(t + 1)*(t + 212)/9 Find z such that -4*z**3 - 12*z**2 + 144*z - 128 = 0. -8, 1, 4 Factor 4*o**2 + 188*o - 192. 4*(o - 1)*(o + 48) Factor 5*h**4/6 + 55*h**3/6 + 45*h**2/2 + 125*h/6 + 20/3. 5*(h + 1)**3*(h + 8)/6 Determine j so that -4*j**2 - 4244*j - 4240 = 0. -1060, -1 What is b in 5*b**5/4 + 85*b**4/4 + 155*b**3/2 - 245*b**2/2 - 315*b/4 + 405/4 = 0? -9, -1, 1 Factor -4*q**2 - 392*q. -4*q*(q + 98) Factor c**2 + 144*c. c*(c + 144) Factor -123*s**2/5 - 372*s/5 - 9/5. -3*(s + 3)*(41*s + 1)/5 Determine s, given that 2*s**5/13 + 84*s**4/13 - 36*s**3 + 136*s**2/13 + 1938*s/13 - 1692/13 = 0. -47, -2, 1, 3 Solve -2*f**5/7 - 6*f**4/7 + 46*f**3/7 - 66*f**2/7 + 4*f = 0 for f. -7, 0, 1, 2 Factor -2*a**3 + 244*a**2 - 242*a. -2*a*(a - 121)*(a - 1) Solve -15*z**3/8 + 21*z**2/4 - 27*z/8 = 0 for z. 0, 1, 9/5 Find f such that -f**3/9 - 61*f**2/3 - 542*f/9 - 40 = 0. -180, -2, -1 Factor 3*f**2/5 + 42*f/5 - 9. 3*(f - 1)*(f + 15)/5 Let -2*a**5/13 - 8*a**4/13 + 38*a**3/13 - 28*a**2/13 = 0. What is a? -7, 0, 1, 2 Solve -4*x**5/5 - 736*x**4/5 - 9077*x**3 - 952759*x**2/5 - 919087*x/5 - 226981/5 = 0. -61, -1/2 Find g, given that -g**4/5 - 4*g**3/5 + 4*g**2/5 + 16*g/5 = 0. -4, -2, 0, 2 Suppose 36*i**4 + 48*i**3 - 8*i**2 - 16*i + 4 = 0. What is i? -1, 1/3 Solve 2*f**5/11 - 654*f**4/11 - 6*f**3/11 + 178*f**2 + 1308*f/11 = 0. -1, 0, 2, 327 Factor -5*y**2 + 55*y - 140. -5*(y - 7)*(y - 4) Factor -4*d**2 + 1044*d - 1040. -4*(d - 260)*(d - 1) Suppose -3*p**4/8 + 21*p**3/8 - 45*p**2/8 + 39*p/8 - 3/2 = 0. Calculate p. 1, 4 Factor 3*g**2/5 - 1167*g/5 - 1182. 3*(g - 394)*(g + 5)/5 Factor -148*k**3 - 2660*k**2 + 2884*k - 76. -4*(k - 1)*(k + 19)*(37*k - 1) Factor r**4/7 + 27*r**3/7 + 26*r**2/7. r**2*(r + 1)*(r + 26)/7 Suppose -9604*k**5 + 48804*k**4 - 23144*k**3 - 75184*k**2 + 6240*k - 128 = 0. What is k? -1, 2/49, 2, 4 Determine m, given that -14*m**5/5 - 74*m**4/5 + 358*m**3/5 + 1522*m**2/5 + 1384*m/5 + 56 = 0. -7, -2, -1, -2/7, 5 Factor 5*x**4 + 3490*x**3 - 7020*x**2 - 13960*x + 28000. 5*(x - 2)**2*(x + 2)*(x + 700) Solve 40*y**4 + 214*y**3 - 792*y**2 + 440*y - 64 = 0 for y. -8, 1/4, 2/5, 2 What is v in -2*v**4/13 + 20*v**3/13 + 22*v**2/13 = 0? -1, 0, 11 Factor c**3/5 - 2*c**2 - 24*c/5. c*(c - 12)*(c + 2)/5 Find y such that -70*y**5/13 - 358*y**4/13 + 38*y**3/13 + 398*y**2/13 + 32*y/13 - 40/13 = 0. -5, -1, -2/5, 2/7, 1 Factor 3*s**2 - 30*s - 513. 3*(s - 19)*(s + 9) Let 4*c**2 - 11064*c - 22144 = 0. Calculate c. -2, 2768 Let -b**4 - 46*b**3 - 480*b**2 + 1152*b = 0. Calculate b. -24, 0, 2 Find h, given that 2*h**3/11 + 386*h**2/11 + 18032*h/11 - 57624/11 = 0. -98, 3 Factor 2*x**5 - 1538*x**4 + 393212*x**3 - 33158140*x**2 - 67502078*x - 33949186. 2*(x - 257)**3*(x + 1)**2 Factor 2*l**3/11 - 1074*l**2 + 17452230*l/11 - 17440418/11. 2*(l - 2953)**2*(l - 1)/11 Let 4*u**4 - 80*u**3 + 308*u**2 + 968*u = 0. Calculate u. -2, 0, 11 Let r**5/2 - 21*r**4/4 + 16*r**3 - 63*r**2/4 + 9*r/2 = 0. Calculate r. 0, 1/2, 1, 3, 6 What is u in -u**4/5 + 2*u**2/5 - 1/5 = 0? -1, 1 Factor 5*s**3 + 495*s**2 + 12000*s - 12500. 5*(s - 1)*(s + 50)**2 Determine r, given that -2*r**4/7 - 20*r**3/7 - 30*r**2/7 + 20*r/7 + 32/7 = 0. -8, -2, -1, 1 Solve 2*x**5 - 32*x**4 + 170*x**3 - 300*x**2 - 72*x + 432 = 0 for x. -1, 2, 3, 6 Factor -2*x**3/15 + 6*x**2/5. -2*x**2*(x - 9)/15 Find a such that 2*a**3/5 + 64*a**2/5 + 214*a/5 - 56 = 0. -28, -5, 1 Factor 2*q**2/15 - 52*q/5 - 166/3. 2*(q - 83)*(q + 5)/15 Determine z, given that z**4/4 - 23*z**3 + 1011*z**2/2 + 1081*z + 2209/4 = 0. -1, 47 Solve 3*x**5/2 + 27*x**4/2 + 39*x**3 + 27*x**2 - 81*x/2 - 81/2 = 0. -3, -1, 1 Factor -k**3 - 82*k**2 + 171*k + 252. -(k - 3)*(k + 1)*(k + 84) Factor -5*x**3 + 630*x**2 + 1925*x + 1290. -5*(x - 129)*(x + 1)*(x + 2) Find q, given that 5*q**2 + 5510*q + 1518005 = 0. -551 Let l**4/2 - 3*l**3 + 3*l**2/2 + 5*l = 0. Calculate l. -1, 0, 2, 5 Find z, given that 3*z**4/5 + 4329*z**3/5 + 2082249*z**2/5 + 333853923*z/5 = 0. -481, 0 Determine f so that f**2 + 4*f + 3 = 0. -3, -1 Factor l**2 + 35*l - 450. (l - 10)*(l + 45) Factor -q**3/8 + 109*q**2/8 + 221*q/8 + 111/8. -(q - 111)*(q + 1)**2/8 Suppose 2*f**4 = 0. What is f? 0 Factor -3*j**3/5 - 63*j**2/5 - 357*j/5 - 117. -3*(j + 3)*(j + 5)*(j + 13)/5 Determine g, given that -3*g**2 - 54*g - 195 = 0. -13, -5 Factor -u**5 - 32*u**4 - 352*u**3 - 1360*u**2 + 400*u + 8000. -(u - 2)*(u + 4)*(u + 10)**3 Suppose 2*m**2/11 + 102*m/11 - 104/11 = 0. What is m? -52, 1 Factor f**4/7 - 10*f**3/7 + 33*f**2/7 - 36*f/7. f*(f - 4)*(f - 3)**2/7 Factor 3*b**2 + 150*b - 825. 3*(b - 5)*(b + 55) What is r in 2*r**3 - 21*r**2/2 + 18*r - 10 = 0? 5/4, 2 Factor 4*b**3/13 - 6*b**2/13 - 16*b/13 - 6/13. 2*(b - 3)*(b + 1)*(2*b + 1)/13 Solve 4*s**2/3 + 232*s/3 - 420 = 0 for s. -63, 5 Find p such that -5*p**2 + 1285*p - 1280 = 0. 1, 256 Suppose 4*m**2 + 928*m + 924 = 0. Calculate m. -231, -1 Let 3*d**4 - 69*d**3 - 315*d**2 - 243*d = 0. Calculate d. -3, -1, 0, 27 Determine k, given that k**5/4 - 5*k**4/4 + k**3/4 + 13*k**2/4 - k/2 - 2 = 0. -1, 1, 2, 4 Factor 2*x**2/3 + 150*x. 2*x*(x + 225)/3 What is i in -6*i**4/5 + 27*i**3/5 - 27*i**2/5 - 3*i/5 + 9/5 = 0? -1/2, 1, 3 Factor -2*i**2 - 42*i - 40. -2*(i + 1)*(i + 20) Factor u**5 - 16*u**4 + 46*u**3 + 144*u**2 + 81*u. u*(u - 9)**2*(u + 1)**2 Factor u**2/2 - 5*u/2 - 7. (u - 7)*(u + 2)/2 Find k such that -k**3/2 + 335*k**2/2 + 847*k + 1020 = 0. -3, -2, 340 Factor 3*u**4 - 15*u**3 - 3*u**2 + 15*u. 3*u*(u - 5)*(u - 1)*(u + 1) Find j, given that 45*j**3 - 7620*j**2 - 5095*j - 850 = 0. -1/3, 170 Factor f**5 + 2*f**4/5 - 6*f**3 - 52*f**2/5 - 31*f/5 - 6/5. (f - 3)*(f + 1)**3*(5*f + 2)/5 Factor -v**3 - 176*v**2 - 7565*v + 15842. -(v - 2)*(v + 89)**2 Determine d so that d**2 + 316*d + 24964 = 0. -158 Solve r**2/6 - 239*r/6 - 241/3 = 0. -2, 241 Let -3*d**3/4 + 6*d**2 + 33*d + 36 = 0. What is d? -2, 12 Let 54*c**5 - 1596*c**4 - 760*c**3 + 1200*c**2 = 0. What is c? -10/9, 0, 2/3, 30 Determine w so that -70*w**5/3 - 1072*w**4/3 + 6080*w**3/3 - 9376*w**2/3 + 4448*w/3 - 640/3 = 0. -20, 2/7, 2/5, 2 Factor 5*v**2 - 55*v. 5*v*(v - 11) Factor 2*p**5 + 10*p**4 + 6*p**3 - 18*p**2. 2*p**2*(p - 1)*(p + 3)**2 Find z such that 3*z**4 - 3*z**3 - 21*z**2 + 3*z + 18
{ "pile_set_name": "DM Mathematics" }
*a**4 + 1157 - 1157 + 21*a**2 wrt a. -432*a Let k(r) be the first derivative of 41*r**7/70 - 85*r**3/6 + 37*r**2 - 67. Let o(i) be the second derivative of k(i). What is the derivative of o(d) wrt d? 492*d**3 Find the second derivative of -1343*z + 184*z - 1895*z**2 + 98*z - 99*z**2 wrt z. -3988 Let a be -8 - (-20 - -6) - 4. What is the third derivative of -12*v**3 - 98*v**a - 156*v**4 - 86*v**3 + 80*v**4 + 77*v**4 wrt v? 24*v - 588 Let t = -53 - -85. Differentiate -52*z**3 + 211 - 13*z**3 - 33*z**3 - t*z**3 - 40*z**3 with respect to z. -510*z**2 Suppose -3*x - 15 = 2*f - 108, 5*x - 189 = -4*f. Find the third derivative of -20*r**3 + 97*r**2 + f*r**3 + 75*r**2 - 101*r**2 wrt r. 186 Let a(t) be the second derivative of 97*t**7/7 + 1225*t**4/6 - 708*t. What is the third derivative of a(p) wrt p? 34920*p**2 Let g = 11 + -9. Let o be 4*g + -6 + 3. Find the third derivative of 2*h**2 + 17*h**2 + 28*h**o - 7*h**2 wrt h. 1680*h**2 Let d(s) be the first derivative of 43*s + 14/5*s**5 + 0*s**3 + 32 + 0*s**4 + 0*s**2. Find the first derivative of d(v) wrt v. 56*v**3 Let z be 12 + -3 + 20 + -13. Find the third derivative of -22*q**2 - z*q**6 + 10*q**6 - 9 - 13*q**5 + 6 + 3 wrt q. -720*q**3 - 780*q**2 Find the second derivative of -10*t**2 + 9*t**4 + 92 + 173*t**2 + 19*t - 7*t**2 - 156*t**2 + 688*t**3 wrt t. 108*t**2 + 4128*t Let u = -1 - -3. Suppose -2*x + 5 = -q, 0 = 4*q - q + 15. Differentiate x + 17 - 8 - u*b**3 with respect to b. -6*b**2 Suppose -16*f + 10*f = -1326. What is the third derivative of -169*n**4 + 18*n**4 - 262*n**2 - 1 + f*n**2 wrt n? -3624*n Let f(m) be the second derivative of -7093*m**4/12 - 3833*m**2/2 + 4967*m. What is the derivative of f(h) wrt h? -14186*h Let m(b) be the second derivative of 294*b + 63/2*b**2 + 55/6*b**3 + 0. Differentiate m(i) with respect to i. 55 What is the third derivative of -a - 7*a**2 + 34 - 119 + 35*a**2 - 18*a**2 - 9*a**2 - 675*a**3 wrt a? -4050 Let n(d) be the second derivative of -71*d**6/120 + 89*d**3/6 - 42*d**2 + 40*d. Let l(a) be the first derivative of n(a). Differentiate l(s) with respect to s. -213*s**2 Let t(r) = -2171*r**3 - 5*r**2 + 5*r - 1300. Let n(g) = 2168*g**3 + 4*g**2 - 4*g + 1302. Let l(v) = 5*n(v) + 4*t(v). Find the first derivative of l(x) wrt x. 6468*x**2 Let j(r) be the second derivative of -7*r**6/15 - 41*r**5/20 - 13*r**2 + 957*r. Differentiate j(u) wrt u. -56*u**3 - 123*u**2 Let p(t) = -2049*t - 2804. Let g(a) = -2050*a - 2767. Let l(n) = 7*g(n) - 6*p(n). Differentiate l(o) wrt o. -2056 Let z(w) = -683*w**3 - 5*w**2 - 25*w + 1159. Let y(d) = d**3 + d**2 + 5*d - 1. Let c(f) = -5*y(f) - z(f). Differentiate c(p) wrt p. 2034*p**2 Find the third derivative of -1412*j**6 - 8619*j**3 - 991*j**6 + 8619*j**3 - 2216*j**2 wrt j. -288360*j**3 Let u(c) be the first derivative of -19/2*c**4 - 1/7*c**7 + 0*c**5 + 46 + c - 2/3*c**3 + 0*c**6 + 0*c**2. What is the third derivative of u(s) wrt s? -120*s**3 - 228 Suppose 4*o = -4*g + 16, 0 = -3*o - 5*g + 6 + 4. Find the third derivative of -z**3 - z**5 - 293*z**6 + 0*z**o + 160*z**2 + 271*z**6 + z**3 wrt z. -2640*z**3 - 60*z**2 Let k(n) = -106*n + 25. Let j(x) be the first derivative of 317*x**2/2 - 77*x - 23. Let w(d) = -2*j(d) - 7*k(d). Differentiate w(i) with respect to i. 108 Let d(q) be the second derivative of 12*q**4 + 13/42*q**7 + 7/30*q**6 + 0*q**5 + 1/6*q**3 + 5*q + 9 + 0*q**2. What is the third derivative of d(r) wrt r? 780*r**2 + 168*r Let u(g) be the second derivative of 25/6*g**3 + 0 - 14*g**2 - 26*g + 3/2*g**4. Let r(x) be the first derivative of u(x). What is the derivative of r(y) wrt y? 36 Suppose -j = 5*p + 3, -4*p + 6*p = 4*j - 10. Find the first derivative of 9*w**3 - 905*w**2 + 20*w**3 + 905*w**j - 108 wrt w. 87*w**2 What is the third derivative of 1358*b**3 + 3068*b**3 - 3591*b**2 - 1269*b**3 + 7347*b**2 wrt b? 18942 Let t(w) be the second derivative of -w**5/10 + 343*w**4/12 + 319*w**3/2 + 3*w + 391. What is the second derivative of t(p) wrt p? -12*p + 686 Let u = -306 + 331. What is the second derivative of -6*q**5 - 23*q**3 + 2*q - 4*q + 17*q**3 + u wrt q? -120*q**3 - 36*q Suppose 0 = -17*p + 61 + 143. What is the second derivative of 9*t - 4*t**3 - 15*t**2 + p*t**2 - 2*t**3 - 6*t**2 - 7 + 0*t**3 wrt t? -36*t - 18 Find the first derivative of -1693 + 4*m**2 - 4*m**2 + 547926*m**3 - 549248*m**3 wrt m. -3966*m**2 Differentiate 9088 - 15*o**2 - 780844*o - 70*o**2 + 780809*o wrt o. -170*o - 35 Let h(c) be the first derivative of 773*c**4/2 + 1772*c**3/3 - 5303. Find the third derivative of h(j) wrt j. 9276 Suppose 14*u - 1462 = -29*u. Find the first derivative of -17*r - r**2 - 129 + u + 71*r + 71*r wrt r. -2*r + 125 Let p(n) be the second derivative of -61*n**5/20 + 2*n**3/3 + 2955*n**2 + 7739*n. What is the first derivative of p(f) wrt f? -183*f**2 + 4 Find the third derivative of 76*h - 77*h + 1204*h**2 + 503*h**2 - 460*h**2 - 1 + 36*h**4 - 534*h**4 wrt h. -11952*h Let i be 70/140*(-10)/(-4). Let x(q) be the first derivative of 8 + 4/3*q**3 - i*q**4 + 0*q + 0*q**2. What is the third derivative of x(s) wrt s? -30 Let d(z) = 7 - 6*z**3 - 7*z**3 + 12*z**3 - 2*z. Let h be d(-4). Differentiate 24 - 4 + 82*x**3 - h*x**3 wrt x. 9*x**2 Differentiate 21*f**2 - 71 - 592 - 17*f**2 - 97 + 8*f + 28*f**2 with respect to f. 64*f + 8 Find the third derivative of 19*w**2 - 114 + 22*w**2 + 14*w**2 - 51*w**2 - 210*w**4 wrt w. -5040*w Suppose 17 = 4*r + 5*s, 2*r = -4*s - s + 11. Suppose -r*j + 6 = -3. What is the third derivative of 0*i**4 + j*i**2 + 0*i**4 + 15*i**4 wrt i? 360*i Differentiate 524728 - 1234*t - 254429 - 259814 + 14042*t wrt t. 12808 What is the second derivative of -33*m + 109*m + 350*m**2 - 1 + 268*m**2 + 176*m**2 wrt m? 1588 Differentiate 6811*t**3 - 277 - 9*t + 42*t - 14*t - 19*t with respect to t. 20433*t**2 Let n(q) = -75*q**2 + 81*q - 9. Let d(f) be the third derivative of f**3/6 + 2*f**2 - 8. Let w(l) = 9*d(l) + n(l). What is the second derivative of w(o) wrt o? -150 What is the third derivative of 18 - 59*h**5 - 19 + 461*h - 4165*h**5 + 2008*h**2 - 461*h wrt h? -253440*h**2 Let c(v) = 1575*v**3 - 8*v**2 + 1711*v. Let q(w) = -1573*w**3 + 6*w**2 - 1713*w. Let o(j) = 3*c(j) + 4*q(j). What is the second derivative of o(k) wrt k? -9402*k Suppose 0*m + 2*m = 64. Suppose -159 = h - 164. What is the third derivative of -13*p**h + m*p**5 - 20*p**5 + 14*p**2 wrt p? -60*p**2 What is the second derivative of -460*d - 55*d**3 - 119*d**3 - 1086774*d**4 + 1086776*d**4 wrt d? 24*d**2 - 1044*d Let q(m) = m**3 + 24*m**2 + m + 31. Let r be q(-24). Find the third derivative of -r*z - 4*z**2 - 4*z**2 + 102*z**4 - 36*z + 9*z**2 wrt z. 2448*z Suppose -39*i + 16 = -31*i. Find the third derivative of 315*j - 315*j + 101*j**5 - i + 62*j**2 wrt j. 6060*j**2 What is the second derivative of -70*c - 61*c + 126*c - 7 - 20*c + 1728*c**2 - 85*c wrt c? 3456 Let r(s) be the second derivative of 443*s**3/3 - 436*s**2 - s + 1868. Differentiate r(h) wrt h. 886 Let g(o) be the third derivative of 5*o**8/28 + o**4/24 + 47*o**3/3 - 2819*o**2. Find the second derivative of g(z) wrt z. 1200*z**3 Let k(u) = 97*u**4 + 106*u**2 + 8. Let h(g) = -16 - 71*g**2 - 78*g**4 + 13*g**4 + 11. Let j(w) = -8*h(w) - 5*k(w). Find the third derivative of j(o) wrt o. 840*o Let g(d) = d**2 - 21*d + 118. Let w be g(11). Find the second derivative of 3*o**2 + w*o**2 + 45*o - 11*o**2 + o**3 + 1 - 5*o**4 wrt o. -60*o**2 + 6*o What is the derivative of -1035*v**4 - 1036576*v**2 + 1036576*v**2 + 141 wrt v? -4140*v**3 Let i(v) be the second derivative of -2*v**5/5 - 13*v**4/4 + 487*v**2/2 + 1416*v. Find the first derivative of i(f) wrt f. -24*f**2 - 78*f Let o be (10 + -5 - -4) + -7. What is the first derivative of 177*t**o + 422 - 756 + 368 + t wrt t? 354*t + 1 Let p be (2/10)/(12/60). Let i be p*5 - (8 + -5). What is the second derivative of 11*o**i - 4*o**2 - 7*o - 7*o**2 - 8*o**4 wrt o? -96*o**2 Suppose 51*t - 59 = 3*t + 85. Let f(d) be the first derivative of -2/3*d**t - 5 - 17/4*d**4 + 0*d + 0*d**2. Find the third derivative of f(r) wrt r. -102 Let p(b) = -911*b**2 + 5*b + 5122. Let i(x) = 4552*x**2 - 26*x - 25606. Let s(l) = 4*i(l) + 21*p(l). Differentiate s(g) wrt g. -1846*g + 1 Let l(u) be the third derivative of -120*u**2 + 1/60*u**5 + 25/3*u**3 + 0*u + 31/24*u**4 + 0. W
{ "pile_set_name": "DM Mathematics" }
et s(z) = -z**2 - 2*z - 3. What is s(-2)? -3 Let a(m) = 5*m - 6. Calculate a(6). 24 Let b(l) = -l**3 + 16*l**2 + 21*l - 16. Give b(17). 52 Let v(o) = o**3 + 6*o**2 + 8*o - 2. Give v(-2). -2 Let i(p) = p**3 + 10*p**2 - 12*p. What is i(-11)? 11 Let l(g) = 3*g**3 + 2*g**2 + 5*g + 4. Calculate l(-2). -22 Let x(h) = 6*h**2 + 2*h + 2. What is x(-1)? 6 Let s(f) = -f**2 - 4*f - 5. What is s(-2)? -1 Let a(f) = 14*f - 201. Calculate a(15). 9 Let w(d) = -d**3 + d**2 + d + 4. Calculate w(-3). 37 Let c(v) = 3*v - 6. What is c(3)? 3 Let a(y) = 2*y**3 - 9*y**2 + y + 4. Calculate a(4). -8 Let h(j) = -2*j - 20. What is h(-6)? -8 Let w(n) = -n**2 + 8*n + 15. What is w(8)? 15 Let t(r) = 20*r - 170. What is t(8)? -10 Let z(p) = -p**3 + 3*p**2 + 13*p + 17. Calculate z(6). -13 Let v(z) = -z**2 - 13*z + 39. Calculate v(3). -9 Let z(l) = -l**3 - 7*l**2 + 146*l + 32. Calculate z(-16). 0 Let b(l) = 10*l - 4. Determine b(-2). -24 Let x(f) = -f**2 + 7*f + 8. Give x(6). 14 Let s(h) = -3*h - 31. What is s(-11)? 2 Let s(v) = 15*v - 42. Calculate s(5). 33 Let o(v) = -v**3 + 10*v**2 - 21*v - 13. Determine o(6). 5 Let r(i) = 4*i**2 - 4*i + 4. Calculate r(3). 28 Let w(p) = 16*p. Calculate w(-1). -16 Let t(u) = -3*u**2 + 20*u - 42. Calculate t(5). -17 Let b(u) = 6*u**2 - 97*u + 38. Determine b(16). 22 Let s(h) = h**2 + 4*h - 4. Give s(0). -4 Let k(a) = a + 10. Determine k(-5). 5 Let x(y) = 2*y**3 - y**2 - 2*y - 1. Determine x(-1). -2 Let j(d) = d**3 + 11*d**2 + 25*d + 10. Give j(-8). 2 Let d(a) = -a**3 - 11*a**2 - 18*a + 7. What is d(-9)? 7 Let o(w) = w**3 - w**2 - 3. Give o(2). 1 Let z(j) = -105*j**3 + j**2 - 2*j + 1. Calculate z(1). -105 Let f(n) = -3*n + 5. What is f(4)? -7 Let s(a) = a**2 + a + 6. Calculate s(6). 48 Let r(p) = 5*p - 23. What is r(3)? -8 Let f(z) = -z**3 + 26*z**2 - 47*z - 33. Determine f(24). -9 Let b(i) = i**2 + 2*i - 38. Calculate b(0). -38 Let r(b) = 3*b**2 + 12*b - 12. Calculate r(-5). 3 Let v(d) = -d**2 - 8*d + 84. Determine v(-11). 51 Let o(u) = 2*u + 13. Determine o(-10). -7 Let u(i) = 2*i**2 - 38*i - 4. Give u(19). -4 Let v(q) = -q**3 - 8*q**2 + 10*q + 13. Give v(-9). 4 Let z(k) = -5*k**2 - 9*k + 76. Determine z(6). -158 Let i(d) = 7*d - 6. What is i(4)? 22 Let t(q) = -q**2 - 3*q - 3. What is t(-7)? -31 Let w(j) = -j**3 + 18*j**2 + 16*j + 27. Determine w(19). -30 Let d(j) = -j + 9. Determine d(8). 1 Let n(z) = -z**2 + 2*z + 19. What is n(4)? 11 Let a(i) = i**2 - 9*i + 21. Give a(8). 13 Let k(p) = 3*p + 7. Give k(-3). -2 Let b(s) = 9*s + 148. What is b(-14)? 22 Let m(j) = j**2 + 22*j + 92. Calculate m(-10). -28 Let w(b) = -b**3 - 4. Calculate w(0). -4 Let t(m) = -6*m + 2. Give t(-1). 8 Let u(v) = -2*v**2 + 16*v - 3. What is u(8)? -3 Let w(f) = f**2 - 16*f + 55. Determine w(10). -5 Let l(h) = -8*h**3 - 4*h**2 - 5*h - 4. Calculate l(-2). 54 Let l(v) = 2*v**2 - v + 2. Determine l(-2). 12 Let z(v) = -v**2 + 35*v - 168. Determine z(29). 6 Let q(p) = p**2 - 48*p + 233. Calculate q(5). 18 Let k(p) = -9*p - 382. What is k(-43)? 5 Let h(i) = 2*i - 18. Calculate h(3). -12 Let t(g) = -g**3 - 15*g**2 - 15*g - 23. Determine t(-14). -9 Let f(l) = -4*l. Give f(7). -28 Let h(c) = -2*c**2 + c + 2. What is h(-2)? -8 Let b(k) = -7*k + 8. What is b(8)? -48 Let g(z) = 2*z**2 - 50*z + 106. Give g(23). 14 Let l(n) = -n**2 + 7*n - 4. Determine l(3). 8 Let x(h) = h + 6. Give x(20). 26 Let z(f) = -f**2 + 8*f - 4. What is z(8)? -4 Let s(w) = -2*w**2 + 6*w + 14. Give s(6). -22 Let k(f) = f**3 + 7*f**2 - 23. Determine k(-6). 13 Let u(n) = -2*n - 1. Calculate u(-4). 7 Let g(m) = -13*m + 71. What is g(7)? -20 Let r(p) = -3*p + 36. Give r(15). -9 Let a(w) = -w**2 + 9*w - 2. What is a(4)? 18 Let n(q) = q**3 + 8*q**2 - 7. Give n(-8). -7 Let p(q) = -q**2 + 14*q + 56. Determine p(17). 5 Let a(o) = 20*o - 91. Calculate a(4). -11 Let y(r) = -r**3 - 3*r**2 + 2*r - 23. Determine y(-5). 17 Let g(d) = d**3 - 3*d**2 - 14*d - 5. Calculate g(-4). -61 Let w(i) = -i**2 - 24*i - 104. What is w(-18)? 4 Let r(t) = -t**2 - 20*t - 72. Calculate r(-15). 3 Let t(r) = -r**3 - 23*r**2 - 61*r - 15. What is t(-20)? 5 Let d(v) = v - 15. Determine d(22). 7 Let p(j) = -2*j. What is p(0)? 0 Let x(f) = 2*f - 6. What is x(-5)? -16 Let s(j) = 6*j - 50. Determine s(7). -8 Let k(s) = -s**3 - 5*s**2 + 2*s + 18. What is k(-4)? -6 Let m(i) = -i**3 + 14*i**2 - 16. Determine m(14). -16 Let w(n) = 11*n**2 - 27*n + 4. Calculate w(2). -6 Let o(d) = d**2 + 8*d + 8. What is o(-6)? -4 Let y(s) = 29*s + 12. Calculate y(0). 12 Let o(f) = f**2 - 14*f + 9. Determine o(11). -24 Let g(j) = 7*j + 5. Determine g(8). 61 Let r(f) = 13*f**2 + f + 1. What is r(-2)? 51 Let j(b) = -b**3 - 10*b**2 - 2*b - 3. What is j(-9)? -66 Let s(p) = -29*p - 65. What is s(-10)? 225 Let c(o) = o**3 + 39*o**2 - 40*o + 10. Determine c(-40). 10 Let d(z) = z**3 - 29*z**2 - 27*z - 80. What is d(30)? 10 Let n(b) = 12*b + 123. Give n(-10). 3 Let l(z) = -23*z + 1. Calculate l(-3). 70 Let y(i) = -i**3 + 73*i**2 - 70*i - 153. Give y(72). -9 Let i(k) = k**2 - 22*k - 40. Determine i(23). -17 Let a(d) = -d**2 + 13*d - 20. Give a(10). 10 Let t(o) = o**2 - 8*o + 14. What is t(10)? 34 Let q(s) = -s**2 - 7*s - 21. Give q(-5). -11 Let m(c) = -c**3 + 4*c**2 - 1. Give m(3). 8 Let s(i) = i**3 - 9*i**2 + 19*i - 17. Give s(5). -22 Let n(o) = o**3 - 12*o**2 + 13*o - 18. Give n(11). 4 Let p(y) = -y**2 + 10*y - 9. Calculate p(7). 12 Let d(v) = -v**2 + v + 14. Give d(-6). -28 Let v(b) = 2*b**3 - b**2 + 4*b - 8. Calculate v(3). 49 Let d(j) = -2*j - 27. Determine d(-11). -5 Let w(y) = 3*y - 2. Give w(4). 10 Let x(z) = -46*z - 728. Give x(-16). 8 Let y(q) = -2*q - 15. Give y(-12). 9 Let j(u) = -u - 41. What is j(37)? -78 Let u(o) = 38*o + 9. What is u(-1)? -29 Let t(w) = w**3 + 3*w**2 + 2. Give t(-2). 6 Let z(r) = 2*r**3 - 29*r**2 + 16*r - 33. Determine z(14). -5 Let j(l) = 14*l**2 + 6*l + 6. What is j(-1)? 14 Let h(s) = s**2 + 5*s - 3. Give h(-6). 3 Let z(v) = -3*v - 31. Give z(-11). 2 Let h(v) = 6*v**2 - 3*v + 1. Determine h(2). 19 Let q(b) = b**2 - 3*b - 10. Determine q(5). 0 Let t(h) = -19*h + 2. Give t(7). -131 Let y(g) = 7*g**2 - 3*g - 15. Give y(-2). 19 Let g(q) = -3*q - 2. Give g(10). -32 Let g(i) = i**3 - 3*i**2 - 8*i + 10. What is g(4)? -6 Let s(w) = -3*w + 3. What is s(1)? 0 Let q(g) = 3*g**3 - g**2 - 5*g - 2. Determine q(-2). -20 Let q(h) = -h**2 + 8*h - 8. Determine q(8). -8 Let b(c) = c**3 - 11*c**2 + 24*c - 14. Give b(8). -14 Let v(c) = -6*c - 74. What is v(-13)? 4 Let b(w) = -4*w + 11. What is b(5)? -9 Let l(b) = -37*b**2 - 6*b - 6. Determine l(-2). -142 Let m(y) = 2*y**2 - 6*y - 3. Give m(4). 5 Let y(j) = -j**2 - 49*j + 136. Give y(3). -20 Let j(w) = -w**3 - 5*w**2 - 7. Give j(0). -7 Let o(z) = -2*z - 24. What is o(-10)? -4 Let b(z) = 10*z - 3. Give b(-4). -43 Let v(y) = 2*y - 4. Give v(0). -4 Let w(i) = -2*i**2 + 2. Give w(3). -16 Let l(x) = -x**3 - x**2 + 9*x - 8. Give l(-6). 118 Let b(j) = -2*j**2 + 9*j + 12. Give b(6). -6 Let t(n) = 30*n - 98. What is t(3)? -8 Let v(c) = 23*c + 137. Give v(-6). -1 Let h(o) = -64*o**3 + o**2 + o - 1. What is h(1)? -63 Let y(z) = -z**2 + z. What is y(-1)? -2 Let r(w) = w**3 + 11*w**2 + 6*w - 6. Give r(-10). 34 Let c(j) = j**2 - 12*j + 30. What is c(9)? 3 Let o(f) = -f**2 - f + 68. Give o(0). 68 Let p(n) = -87*n**3 + 5*n**2 - 3*n - 2. Calculate p(1). -87 Let j(k) = 4*k - 12. Calculate j(6). 12 Let f(g) = 2*g**2 - 39*g + 19. Give f(19). 0 Let o(q) = 2*q + 30. Determine o(-16). -2 Let t(z) = z**3 - 6*z**2 + 13*z - 17. Determine t(4). 3 Let v(t) = -t**3 - 9*t**2 - 9. What is v(-9)? -9 Let q(j) = -j**3 + 4*j**2 + 6*j - 4. What is q(5)? 1 Let a(b) = -b**3 + 20*b**2 - 18*b - 24. What is a(19)? -5 Let m(n) = -2*n - 31. Calculate m(0). -31 Let t(j) = -16*j - 23. Calculate t(-5). 57 Let t(s) = s**2 + 41*s - 116. Give t(-44). 16 Let b(r) = 5*r + 14. Calculate b(-3). -1 Let k(x) = -13*x**3 + 3*x + 2. Calculate k(-1). 12 Let q(l) = -2*l + 8. Determine q(6). -4 Let t(c) = c**2 - 6*c - 30. Calculate t(11). 25 Let s(b) = b**2 + 16*b - 22. Calculate s(-17). -5 Let x(p) = -6*p**2 + p + 1. Give x(-1). -6 Let n(s) = -3*s**2 + 65*s - 98. Calculate n(20). 2 Let a(p) = -p**3 - 12*p**2 - 12*p - 9. Determine a(-11). 2 Let z(n) = -n**3 + 32*n**2 + 32*n + 36. What is z(33)? 3 Let k(b) = 5*b + 70. Give k(-17). -15 Let a(o) = 2*o**3 + 49*o**2 + 25*o + 30. G
{ "pile_set_name": "DM Mathematics" }
- 514 = -4*k. Let q(b) = -2*b - 3. Give o*y(t) - 7*q(t). 2*t + 3 Let w(s) = 2*s**3 + 22*s**2 + 20*s + 20. Let m(z) = z**3 + 7*z**2 + 7*z + 7. Suppose 5*t + 4*a = 21, -2*a = -12*t + 14*t - 8. Calculate t*w(p) - 14*m(p). -4*p**3 + 12*p**2 + 2*p + 2 Let g(c) = -3*c**2 + 2. Let o(s) = 13*s**2 - s - 8. Let y(k) = k**2 + 6*k - 47. Let p be y(-18). Suppose -9 = -168*i + p*i. Determine i*g(w) - 2*o(w). w**2 + 2*w - 2 Let w(q) = -q**2 - 7*q. Let i(m) = -27*m**2 - 30*m + 1. Determine -i(v) + 6*w(v). 21*v**2 - 12*v - 1 Let h(x) = x**2 - 5*x - 8. Let v be 1*(-2*3 - 0). Let q(k) = 16 - 2*k + 24 + k - 59 + 18. Give v*q(p) + h(p). p**2 + p - 2 Let t(v) = -v**3 - 5*v**2 - 6. Let u(w) be the first derivative of 251 - 2*w**3 - 1/4*w**4 - 7*w - 1/2*w**2. Determine 6*t(d) - 5*u(d). -d**3 + 5*d - 1 Suppose -40 = 576*t - 584*t. Let l(j) = -84*j**2 + 32. Let b = -13 + 16. Let n(d) = 0*d**2 + 3*d**2 + 10*d**2 - b - 2. Give t*l(f) + 32*n(f). -4*f**2 Let f(g) be the first derivative of 7/4*g**4 + 0*g**2 + 3*g**3 + 230 + 13*g. Let x(r) = 3*r**3 + 4*r**2 + 6. What is -6*f(a) + 13*x(a)? -3*a**3 - 2*a**2 Let f be ((-140)/16 + 8)/((-2)/80). Let l(u) = 25*u + 23*u + 21*u - 97*u - 2 + f*u. Let r(x) be the first derivative of x**2/2 - x - 1. What is 2*l(w) - 6*r(w)? -2*w + 2 Let v(i) = 4*i**2 + 5*i + 8. Let r(o) = 3*o**2 + 8*o + 12. What is -2*r(z) + 3*v(z)? 6*z**2 - z Let l(v) = 111*v**2 - 12*v - 18. Let b(q) = -220*q**2 + 21*q + 39. What is 6*b(r) + 13*l(r)? 123*r**2 - 30*r Let f(k) = 6*k**3 - 2*k**2 - 25*k - 37. Let y(v) = -16*v**3 + 6*v**2 + 74*v + 112. Calculate -11*f(d) - 4*y(d). -2*d**3 - 2*d**2 - 21*d - 41 Let c(q) = -7*q + 34. Let o(u) = 13*u - 95. Determine -7*c(m) - 4*o(m). -3*m + 142 Let y(o) = -o + 751. Let h(i) = 2*i - 1499. Calculate -4*h(m) - 10*y(m). 2*m - 1514 Let k(y) = -y**3 + 2*y - 1. Let j(m) = 40*m**3 + m**2 - 6*m + 3. What is j(q) + 4*k(q)? 36*q**3 + q**2 + 2*q - 1 Let o(h) = 66*h - 11. Let c(y) = 197*y - 29. Calculate -4*c(u) + 11*o(u). -62*u - 5 Let o(f) = -22*f. Let i be 163 + -159 + (1081 - 1)/(-2). Let t = -539 - i. Let n(c) = -11*c. Determine t*o(m) + 7*n(m). -11*m Let c(d) = 2*d**2 - 3*d + 8. Let y(j) be the third derivative of j**5/20 - j**4/6 + 3*j**3/2 + 7248*j**2. Determine -6*c(b) + 5*y(b). 3*b**2 - 2*b - 3 Suppose -1207 = -56*i - 1263. Let x(p) = 6*p + 3. Let s(n) = n + 1. Calculate i*x(v) + 4*s(v). -2*v + 1 Let m(u) = -3*u - 1. Suppose 4*t + 0*t = -2*c + 26, -30 = -5*c - 3*t. Let l(k) = 2*k. Give c*m(r) + 5*l(r). r - 3 Let n(d) = 5*d - 23. Let f(g) = 7*g - 34. Let i(j) = -2*f(j) + 3*n(j). Let c(v) = 20*v**2 - 11*v + 11. Determine -2*c(u) - 22*i(u). -40*u**2 Let h(v) = -14*v**3 - 61*v**2 - 5*v - 10. Let o(m) = 7*m**3 + 31*m**2 + 2*m + 4. Give -4*h(f) - 10*o(f). -14*f**3 - 66*f**2 Let o(g) = -10*g + 10. Let m(q) be the first derivative of -2*q**2 + 4*q + 64. Let w(f) = 12*m(f) - 5*o(f). Let i(r) = 1. Give 5*i(s) - w(s). -2*s + 7 Let b(i) = 9*i. Let y(q) = -611*q + 3687. Let n be y(6). Let k(h) = 35*h. What is n*b(l) - 5*k(l)? 14*l Let d(h) = -1177*h**3 - 36*h**2 - 22*h - 9. Let f(o) = 589*o**3 + 16*o**2 + 10*o + 4. What is -4*d(s) - 9*f(s)? -593*s**3 - 2*s Let d(i) = i**2 - 3*i - 37. Let z(f) = 514 + 499 - 1049 - 8*f + 4*f + 2*f**2. Calculate 4*d(w) - 3*z(w). -2*w**2 - 40 Let l(b) be the second derivative of b**3/6 + b**2/2 + b. Let r(g) = 3*g + 2. Let s(p) = 4*p**2 - 7*p - 1314. Let c be s(19). Determine c*r(t) + 6*l(t). -3*t Let z(x) = -5*x**2 + 2*x + 6. Let s = -17364 - -17357. Let j(v) = 3*v**2 - v - 4. Calculate s*j(r) - 5*z(r). 4*r**2 - 3*r - 2 Let m(q) = -q**3 - q**2 + 1. Let k(n) = -5*n**3 - 631*n**2 + 3. Give -k(i) + 3*m(i). 2*i**3 + 628*i**2 Let s(h) = h**2. Let q(f) = 3*f**2 - 5*f - 1. Suppose -3*w + 21 = -2*j, 11*w - 12*w + 5*j + 20 = 0. Calculate w*s(a) - q(a). 2*a**2 + 5*a + 1 Let o(u) = -u + 1. Suppose -8*z - 450 = 40*z - 162. Let w(v) = v**2 - 4*v. What is z*o(h) + w(h)? h**2 + 2*h - 6 Let k(r) = 73203*r**3 + 143*r**2 - 143*r - 143. Let i(n) = -1031*n**3 - 2*n**2 + 2*n + 2. What is -143*i(v) - 2*k(v)? 1027*v**3 Let x(t) = 14*t**2 + 13*t. Let n(y) = 9*y**2 + 9*y. Suppose -12*w = -19*w + 175. Suppose -5*v + 0*v + w = 0. Determine v*x(i) - 8*n(i). -2*i**2 - 7*i Let x(d) = 1677*d - 123. Let s(a) = -1677*a + 148. What is 5*s(b) + 6*x(b)? 1677*b + 2 Let j(u) = 2175*u**3 + 6*u**2 - 2*u - 14. Let i(z) = -8698*z**3 - 26*z**2 + 9*z + 62. What is -2*i(p) - 9*j(p)? -2179*p**3 - 2*p**2 + 2 Let n be (-12)/(-128)*-4 - (-5286)/16. Let u = -337 + n. Let i(l) = -2*l**2 + 4*l - 2. Let q(j) = 5*j**2 - 9*j + 5. Determine u*i(x) - 3*q(x). -x**2 - x - 1 Let y(i) = -6*i + 16. Let k be 14 + -18 + (5/(-1) - -8). Let w(l) = l - 1. Calculate k*y(b) - 3*w(b). 3*b - 13 Let h(s) = -10*s**2 - s - 11. Let v = -374 - -385. Let j(k) = -2*k**2 - 2. What is v*j(f) - 2*h(f)? -2*f**2 + 2*f Let m(y) = 14*y - 661. Let l(o) = 18*o - 656. Calculate -3*l(j) + 4*m(j). 2*j - 676 Let m(v) = -15*v**2 - 30*v + 41. Let b(f) = -2*f**2 - 5*f. Give 6*b(j) - m(j). 3*j**2 - 41 Let p(i) = -2*i**2 + 7*i - 1. Let r(w) = -65*w + 73*w - 1 - 7613*w**2 + 7612*w**2. Calculate -6*p(l) + 5*r(l). 7*l**2 - 2*l + 1 Let h(y) = -3*y - 1. Let w be 9*(-7)/((5 - 8)*-1). Let g(b) = 19*b + 8. Let m(r) = w*h(r) - 3*g(r). Let l(i) = 7*i - 3. Give -3*l(o) + 4*m(o). 3*o - 3 Let i(g) = -24*g**2 + 5*g + 5. Let f(y) = -120*y**2 + 24*y + 24. Let r be (15 - 0)*(-18 - (-1066)/65). Determine r*i(q) + 5*f(q). -24*q**2 Let f(c) = -11*c + 5. Let y(r) = 6*r - 2. Let i(d) = 3*f(d) + 7*y(d). Let h(v) = 14*v + 1. Let q = -26 + 32. Suppose 4*k - 38 = -q. Calculate k*i(m) - 5*h(m). 2*m + 3 Let d(h) = h**3 - 3*h**2 - 9*h - 25. Let f(t) = t**2 + t + 8. Determine 2*d(w) + 6*f(w). 2*w**3 - 12*w - 2 Let o(f) be the second derivative of -5*f**3/6 - f**2 + 3129*f. Let p(a) be the third derivative of 11*a**4/24 + 2*a**3/3 - 4*a**2. Determine -13*o(t) - 6*p(t). -t + 2 Let g(u) = -u**2 + 8*u - 10. Let r be g(7). Let t(c) = -1 + c**2 - 2*c + 2*c + 75*c**3 - 24*c**3 + 3*c - 54*c**3. Let i(d) = d. Determine r*i(v) + t(v). -3*v**3 + v**2 - 1 Let n(s) = 6*s**3 + 7*s**2 - 4*s - 7. Let z(j) be the second derivative of -5/6*j**3 - 2*j + 0 - 4*j**2 + 7/20*j**5 + 2/3*j**4. What is 5*n(b) - 4*z(b)? 2*b**3 + 3*b**2 - 3 Suppose 592*h - 136 = 660*h. Let r(x) = x**3 - x**2. Let y(t) = -5*t**3 + 2*t**2 + 4. Determine h*r(g) - y(g). 3*g**3 - 4 Let q(b) = 749*b + 5. Let d(h) = -2240*h - 13. Give -3*d(z) - 8*q(z). 728*z - 1 Let p(j) be the second derivative of -j**3/6 - j**2/2 + j. Let g be 2 + (1*7 - (-167 + 175)). Let f(b) = -b**3 - b - 1. Determine g*f(a) - 2*p(a). -a**3 + a + 1 Let a(t) = -10*t - 19. Let p(x) = -16*x + 19. What is -7*a(u) - 6*p(u)? 166*u + 19 Let l(u) = -39*u + 113. Let k(s) = 5*s - 15. Let d(f) = 15*k(f) + 2*l(f). Let x = -5 - -7. Let v(z) = 4*z - 1. Let a be 2 + 4 + -6 + 3. What is a*d(c) + x*v(c)? -c + 1 Let w(i) = 29*i + 3242. Let d(u) = 130*u + 12970. Calculate -2*d(c) + 9*w(c). c + 3238 Let l(r) = 5*r**2 - 7*r - 1. Let t(z) = 5*z**2 - z + 4. Let a(m) be the first derivative of -m**3/3 - m - 80. Let d(h) = -4*a(h) - t(h). Give 14*d(v) + 2*l(v). -4*v**2 - 2 Let z(v) = 6*v - 2701 - 2686 + 5363. Let u(j) = 2*j - 8. Determine 7*u(a) - 2*z(a). 2*a - 8 Let q be (-68)/2*9/18. Let g(d) = 6*d - 37. Let c(p) = 2*p - 12. Calculate q*c(r) + 6*g(r). 2*r - 18 Let j(x) = -1684*x**3 - 10*x**2 + 15*x + 8. Let c(a) = 4211*a**3 + 26*a**2 - 39*a - 21. Calculate -5*c(l) - 13*j(l). 837*l**3 + 1 Let r(w) = -w**2 + 59*w + 109. Let n(j) = -j**2 + 32*j + 55. Determine -11*n(b) + 6*r(b). 5*b**2 + 2*b + 49 Let b(g) = 4*g**3 - g**2 - 6*g - 5. Suppose 115*z - 76*z - 132 = 61*z. Let x(r) = -r**3 + r. Give z*x(f) - b(f). 2*f**3 + f**2 + 5 Let i(n) = -3*n - 2. Let l(t) = -12*t - 41. Let p(j) = -27*j - 95. Let r(v) = -7*l(v) + 3*p(v). Calculate -4*i(w) - 3*r(w). 3*w + 2 Let s(i) = 376798*i - 15822. Let r(h) = 6441*h - 270. What is -293*r(n) + 5*s(n)? -3223*n Let a(y) = -9*y - 3. Let x = -36 + 40. Let q(i) = -1 + 3 - 6 + 5 + x*i. Let f be 15/20*(-8)/(-2). Give f*a(l) + 7*q(l). l - 2 Let p(o) be the first derivative of -o**3 + 3*o**2 - 5*o + 67. Let m be (-2)/4 - (-319)/58. Let k(f) = 3*f**2 - 7*f + 6. Determine m*k(h) + 6*p(h). -3*h**2 + h Let o(g) = 52*g**2 - 39. Let r(j) = -3*j**3 + 4*j**2 + 2*j + 2. Let d be r(2). Let f(c) = -c**2 + 1. Give d*o(u)
{ "pile_set_name": "DM Mathematics" }
= -4*a**3 - 4*a**2 - 6*a - 2. Give -n(y) + 6*s(y). -2*y**3 - 2*y**2 + 2 Let c(z) = 17*z. Let o(k) = -459*k. Calculate 136*c(a) + 5*o(a). 17*a Let p(u) = 18*u - 10*u + 1 - 7*u. Let v(d) = 2*d**2 - 2*d - 1. Give -2*p(m) - v(m). -2*m**2 - 1 Let v(p) = p. Let k(y) = -4*y - 1. Suppose 9 = -5*g - 6. Let s = -1 - g. Calculate s*k(q) + 9*v(q). q - 2 Let h(u) = -1. Let a(j) = j**3 - 13*j**2 + j - 14. Let o be a(13). Let i(f) = -f + 1. Give o*i(y) - 2*h(y). y + 1 Let y(i) = -3*i + 8. Let m(b) = 1. Let v = -25 - -26. Calculate v*y(l) - 6*m(l). -3*l + 2 Suppose 3*s - 6 = -3*w, -5*s = w - 0 + 2. Let z(h) = 2*h - 2 - 4*h + w - h**2. Let i(y) = -1. Let t = 0 - 1. Determine t*i(j) + z(j). -j**2 - 2*j + 2 Let a(j) = 7*j**2 + 2*j + 1. Let d(p) = p**2 + p - 1. Give -a(g) + 2*d(g). -5*g**2 - 3 Let r(i) = 4*i + 1. Let q(f) = -11*f - 2. Let m be 12 + (-3 - -6)/(-3). Let o = 8 - m. Let h(w) = -w**2 + w - 8. Let j be h(0). What is j*r(t) + o*q(t)? t - 2 Let j(w) = -4*w. Let m(c) = -1. Calculate -j(p) - 6*m(p). 4*p + 6 Let k = 21 + -16. Let w(y) = -6*y**2 + 5. Let d(t) be the third derivative of 7*t**5/60 - t**3 + 4*t**2. Determine k*d(c) + 6*w(c). -c**2 Let r(n) = 3*n**3 - 8*n**2 - 8*n + 8. Let u(o) = o**3 - 3*o**2 - 3*o + 3. Suppose -3*p - 35 = -4*j, -3*j + j - 2*p + 14 = 0. What is j*u(v) - 3*r(v)? -v**3 Let u(g) = g - 1. Let a(z) = -4*z + 5. Let h(b) = -2*a(b) - 11*u(b). Let s(d) = -d. Give -h(k) + 5*s(k). -2*k - 1 Let c(u) = 4*u + 4. Let k(o) = -o - 1. Calculate 4*c(x) + 18*k(x). -2*x - 2 Let k(u) = 6*u**3 + 5*u - 4. Let p(m) = 3*m**3 + 2*m - 2. Determine -2*k(f) + 5*p(f). 3*f**3 - 2 Let p(r) = 4*r + 5. Let b(j) = -j**3 - 2*j**2 + 8*j + 3. Let d be b(-4). Let v(h) = h + 1. Calculate d*v(g) - p(g). -g - 2 Let s be 15/(-10)*(15/(-9) + 1). Let n be 2/(-4) - 28/(-8). Let d(m) = m + 5. Let b(g) = -1. What is n*b(j) + s*d(j)? j + 2 Suppose 2*j - 4 = 6*j, 5 = -5*s + 5*j. Let z(q) = -2 + 3*q - 7*q + 3*q + 3*q. Let r(t) = -t + 1. Determine s*z(o) - 3*r(o). -o + 1 Suppose 0 = 5*b - 10 - 0. Suppose b*m - 16 = -38. Let l(y) = 7*y**2 + 2*y. Let w(h) = 6774 - 6774 - 4*h - 13*h**2. Give m*l(p) - 6*w(p). p**2 + 2*p Let g = -11 - -16. Suppose -4*h + 3*o - 31 = 0, h - 4 - 17 = -g*o. Let n(l) = 4 - l + 0 + 7 - 16*l. Let m(i) = 6*i - 4. What is h*n(j) - 11*m(j)? 2*j Suppose 2*s + 2*c = 4*c - 2, -5 = 3*s - c. Let n(k) = 4*k**2 - k - 3. Let g(t) = -2*t**2 + 1. What is s*n(h) - 5*g(h)? 2*h**2 + 2*h + 1 Let g(a) = a + 1. Suppose -2*s - 10 = 3*s. Let n(l) = -2*l - 1. Let p(d) = s*n(d) - 5*g(d). Let o(m) = -m - 1. Determine -4*o(q) + 2*p(q). 2*q - 2 Let i(t) = 2*t**3 - t - 3. Let s(a) = -a**3 + a + 1. Suppose 4*w = 12, 9*m - 4*m = -w - 2. Determine m*i(q) - 3*s(q). q**3 - 2*q Let y(o) = -6*o**2 - 11*o + 11. Let f(j) = -j**2 - 2*j + 2. Let s = 7 + -3. Let a = -24 + 2. Give a*f(t) + s*y(t). -2*t**2 Let x(j) = 9*j - 6. Let i(r) = -4 + 1 - r + 6 - 2. Determine -6*i(s) - x(s). -3*s Let m(z) = -z**3 + z**2 + 1. Let s(d) = 9*d**3 - 8*d**2 - 6. What is -14*m(t) - 2*s(t)? -4*t**3 + 2*t**2 - 2 Let z(s) = 4*s**2 + 4. Let l(t) = 15*t**2 + 7*t + 9. Let m(h) = 14*h**2 + 6*h + 9. Let a(w) = -5*l(w) + 6*m(w). What is -2*a(v) + 5*z(v)? 2*v**2 - 2*v + 2 Let z(h) = 4*h**2 + 2*h + 4. Let j(t) = -2*t**2 - t - 2. Calculate -13*j(n) - 6*z(n). 2*n**2 + n + 2 Let t(r) = -3*r**2 + r - 1. Let i be t(1). Let l(z) = -z**3 - 2*z**2 + z - 2. Let p(b) = -b**3 - 3*b**2 + 2*b - 3. Calculate i*l(q) + 2*p(q). q**3 + q Let o(c) = -c - 1 - 2*c + 7. Let t(a) = 0 + 0 + 2 - 1. Let j(l) = 7*l - 18. Let f(b) = j(b) + 5*t(b). Give 4*f(v) + 9*o(v). v + 2 Let a = -101 + 105. Let t(w) = 2*w - 6. Let i(z) = -z - 3*z + 7 + 2*z. What is a*i(b) + 5*t(b)? 2*b - 2 Let s(o) = o + 2. Let c(b) = -b - 5. Suppose -d + 5 = -4*k - 8, -17 = -5*d - 4*k. Give d*s(j) + 2*c(j). 3*j Suppose 7*u = 2 - 30. Let p(g) = 5*g**2 - 3. Let h(f) = -6*f**2 + 4. Give u*p(d) - 3*h(d). -2*d**2 Let x(k) = -17*k**2 + 14*k + 13. Let v(m) = -8*m**2 + 7*m + 6. What is 13*v(n) - 6*x(n)? -2*n**2 + 7*n Suppose -4*p = -0*p - 5*i - 69, i - 63 = -4*p. Let l(k) = k - 5. Let h(o) = o - 27 + 5*o + 1. What is p*l(f) - 3*h(f)? -2*f - 2 Let a(j) = j**3 + 3*j**2 + 4*j. Let d(u) = 5*u + u**3 + 0*u**2 + 2*u**2 + 2*u**2 + 0*u**3. Determine -3*a(n) + 2*d(n). -n**3 - n**2 - 2*n Let n(d) = -d - 1. Let i = 43 + -44. Let l(x) = -x**2 + 6*x + 7. Determine i*l(q) - 5*n(q). q**2 - q - 2 Let b(f) = 7*f - 5. Let s(x) = 3*x**3 + 2*x**2 + 2*x + 1. Let m be s(-1). Let k(j) = 3*j - 2. Give m*b(c) + 5*k(c). c Let z(t) = t + 1. Let d(j) = -j**3 + 4*j + 3. Determine -d(p) + 6*z(p). p**3 + 2*p + 3 Let h(f) = -16*f**2 - 3*f - 3. Let w(j) = -817*j**2 - 152*j - 152. Calculate -152*h(y) + 3*w(y). -19*y**2 Let z(d) = -2*d**2 + 6*d - 4. Let b(g) = -3*g + 14. Let i(t) = -t + 5. Let h(q) = 4*b(q) - 11*i(q). Determine -5*h(v) - z(v). 2*v**2 - v - 1 Let j(u) = -7*u. Let w(k) = k - 2. Let l(y) = -12*y + 27. Suppose -3*z + 2*z = 27. Let a(b) = z*w(b) - 2*l(b). Calculate -10*a(c) + 4*j(c). 2*c Let u(q) = -5*q - 2. Let n(a) = 4*a + 1. Let g(l) = -4*l - 1. Let b(j) = 5*g(j) + 6*n(j). Give -3*b(d) - 2*u(d). -2*d + 1 Let o(j) = -3 - 6*j**2 + 3*j**2 + 2*j**3 + 5 + 6*j**2. Let r(n) = -2*n**3 - 4*n**2 - 2. Give 4*o(c) + 3*r(c). 2*c**3 + 2 Let z(c) = -6*c**3 + 4*c. Let s(d) = d**3 - 2*d**2 - d + 2. Let q(i) = -i**2 + 1. Let b(p) = 2*q(p) - s(p). Calculate -4*b(u) + z(u). -2*u**3 Let t(w) = -w + 3. Let d(i) = -i. What is 3*d(p) - t(p)? -2*p - 3 Let j(f) = -2*f**3 + 4*f**2 - 4*f - 4. Let z(b) = -3*b**3 + 5*b**2 - 5*b - 5. Suppose -20 = -p - 5*s, -3*s = -p + 5*p + 5. Determine p*j(r) + 4*z(r). -2*r**3 Let a(v) = 51*v - 7. Let h(p) = 102*p - 13. Calculate -11*a(f) + 6*h(f). 51*f - 1 Let m(b) = -1. Let n(s) = -22*s - 14. Calculate -12*m(r) + n(r). -22*r - 2 Let o(m) = m**3 + m**2 + 1. Let k(r) = -r**3 - 2*r**2 - 3*r - 2. What is 2*k(t) + 4*o(t)? 2*t**3 - 6*t Let l(j) be the third derivative of j**4/4 + 2*j**3/3 + j**2 + 15. Let s(u) = -u + 9. Let c be s(5). Let i(k) = 1 - 4 - 7*k - 2. What is c*i(t) + 5*l(t)? 2*t Let j(o) = o**2 + o - 1. Let p = 18 + -14. Let w(m) = 1 + 0*m + 5*m + 2*m**2 - p. What is -3*j(f) + w(f)? -f**2 + 2*f Let z(a) = 5*a**3 + 4*a**2 + 4. Let f(v) = v - 10. Let w be f(14). Let i(q) = -2*q - 11 + 2*q - 11*q**2 - 14*q**3. Determine w*i(t) + 11*z(t). -t**3 Let z(j) be the second derivative of j**3 - 2*j**2 - j. Let v be (-4)/(-2) - (-18)/9. Let u(y) = -y + 1. Let w be 1/3 - 4/(-6). Determine v*u(f) + w*z(f). 2*f Let z(p) = -p**3 - 5*p**2 - 2. Suppose -4*c = 4*d, 3*c - 4 = 2*d - 7*d. Let g(l) = -l**3 - 2*l**2 - 1. What is c*z(b) + 5*g(b)? -3*b**3 - 1 Let d = 4 - 3. Let y be (15/6)/(d/(-2)). Let a(i) = i**2 - i. Let b(o) = o**3 + 4*o**2 - 5*o. What is y*a(m) + b(m)? m**3 - m**2 Let r(h) = -h**3 + 1. Let f(d) = 5*d**3 - 6. Suppose 5*g - 35 = -5*j, 5*g - 2 + 7 = 5*j. Suppose -2*x + 14 = g*t, 3*t - 16 = t + 2*x. What is t*r(c) + f(c)? -c**3 Let f(r) = r**3 + 16*r**2 + 2*r + 10. Let a be f(-16). Let i(q) = -4*q - 2. Let s(x) = -15*x - 7. Calculate a*i(o) + 6*s(o). -2*o + 2 Let f(s) = -5*s - 3. Let r(k) = -k + 1. Calculate f(c) + 4*r(c). -9*c + 1 Let r(v) = v + 1. Let p(a) = -2*a - 2. Let m be (-2)/3 + (-14)/6. Let g = 5 + m. Let n be 2 + 0 + (-1 - -2). Determine g*p(j) + n*r(j). -j - 1 Let s(w) be the first derivative of 3*w**4/4 - 5*w**2/2 + 5*w - 28. Let h(c) = -4*c**3 + 6*c - 6. What is -5*h(b) - 6*s(b)? 2*b**3 Let j be (7 - 4)*(-2 - -1). Let h(c) = -2*c**2 + 2*c + 5. Let p(d) = 2*d**2 - 2*d - 6. Give j*p(b) - 4*h(b). 2*b**2 - 2*b - 2 Let l(z) = -16*z**3 - 10*z**2 - 7*z. Let r be 13/(-3) + 2/(-3). Let b(y) = 11*y**3 + 7*y**2 + 5*y. Calculate r*l(g) - 7*b(g). 3*g**3 + g**2 Let o(f) = 24*f - 3. Let q(u) = -8*u + 1. What is 3*o(z) + 8*q(z)? 8*z - 1 Let a(x) = x**3 + 2*x**2. Let r(f) = f**3 + f**2. Give a(j) - 3*r(j). -2*j**3 - j**2 Let g(d) = 90*d**3 + 27*d**2 + 27*d + 27. Let w(r) = 7*r**3 + 2*r**2 + 2*r + 2. Determine 2*g(b) - 27*w(b). -9*b**3 Let i(f) = f**2 + f + 1. Let v(n) = -7*n**2 - 6*n - 10. Determine -10*i(q) - 2*v(q). 4*q**2 + 2*q + 10 Let s(x) = 6*x**2 + 4*x - 3. Let v = -2113/6 + 353. Let u(f) be the second derivative of -f - 7/12*f**4 - v*f**3 + 2*f**2 + 0. Give -5*s(l) - 4*u(l). -2*l**2 - 1 Let c be (-4)/1 - (6 - 4). Let v(g) = -g**2 + 6*g + 3. Let r(u) = u**2 - 7*u - 4. Determine c*v(p) - 5*r(p).
{ "pile_set_name": "DM Mathematics" }
3132 = -166*d + 2844. Let u(p) = p**2 - 39*p + 93. Calculate u(d). -15 Let v be (127/(-127))/((-4)/(-14))*24/42. Let q(a) = a**2 - 4*a + 3. Let k be q(4). Let p(m) = m**3 - 3*m**k + 1 - 3*m**2 + m**3. Determine p(v). -3 Let l(b) = -b**2 + 11. Suppose -4*j - 2*o = -0*j - 8, 16 = -3*j + 4*o. Suppose 6*d + 6 = j, -2*p = 3*p + 5*d + 5. Give l(p). 11 Let o(c) be the second derivative of -c**4/12 - 3*c**3/2 - 3*c**2/2 + c. Suppose -120*d + 189 = 1149. Calculate o(d). 5 Suppose 739*d - 748*d = -9. Let q(f) = 2*f**2 + 16*f**2 - 23*f**2. Give q(d). -5 Let v(k) = k + 13. Let n(u) = -u**3 - 7*u**2 - 10*u + 2. Let o be n(-5). Let w(r) = 2*r + 14. Let a(q) = o*w(q) - 3*v(q). Give a(9). -2 Let i(j) = 4*j**3 - 5*j**2 - j - 6. Let r(b) = -4*b**2 + b + 97. Let g be r(5). Calculate i(g). 4 Let r(a) = 10 + 79*a**2 - 19 + 6*a - 20*a**2 - 30*a**2 + a**3 - 23*a**2. What is r(-5)? -14 Let t(c) = -c**2 - 10 - 375*c + 202*c + 180*c. Suppose -8 + 71 = 9*y. Give t(y). -10 Let x(o) = o - 6*o**3 + 6*o**3 + 23*o**2 + 15*o**3 + 14*o**3 - 30*o**3 - 20. What is x(23)? 3 Let u(q) be the second derivative of -q**5/20 - 3*q**4/4 - 11*q**3/6 - 3*q**2 + 286*q + 8. What is u(-7)? -27 Let f(v) = 3*v**3 + 15*v**2 - 28*v - 27. Let o(m) = -2*m**3 - 10*m**2 + 18*m + 17. Let s(j) = 5*f(j) + 7*o(j). Determine s(-7). -16 Let j(s) be the third derivative of 1/60*s**5 + 2/3*s**3 - 188*s**2 + 5/24*s**4 + 0*s + 0. Calculate j(-3). -2 Let x(s) = -72*s + 23. Let c be x(2). Let j be 2/(-4) - c/(-22). Let i(p) = -p**3 - 5*p**2 + 8*p + 9. Calculate i(j). -3 Let w(r) be the second derivative of -7*r**3/3 + 36*r**2 + 48*r. Let s be w(5). Let z(x) = -x**2 + 2*x + 1. Give z(s). 1 Let t = -21477 - -21479. Let h(p) = 10*p - 33. Calculate h(t). -13 Suppose 2*h = -2*h - 4. Let v(w) be the second derivative of -1/2*w**2 + 8*w + 1/2*w**4 - 1/3*w**3 + 5. Determine v(h). 7 Let c(r) = r**2 - r - 2. Suppose 0 = 2*j - 0 - 4. Suppose 1 + 3 = j*y. Suppose 3*n = y*w - 2, 2*w + 0*w = 2*n. What is c(n)? 4 Let f(j) = j**2 + 42*j - 9. Let g(a) = 2*a**2 + 62*a - 11. Let d(o) = -8*f(o) + 5*g(o). Give d(12). -7 Let x(b) = -3*b**3 - 3*b**2 - 2*b. Let h be x(-1). Let y(m) = 190*m**2 + 3 - 191*m**h + 13. Determine y(0). 16 Suppose 563 - 318 = 112*q - 427. Let d(w) = 5*w - 1. Give d(q). 29 Let i(c) = -59 - c**2 - 429921*c + 429928*c + 2*c**2. Calculate i(-11). -15 Let w(j) be the second derivative of -j**6/120 - 11*j**5/60 + j**4/24 + 13*j**3/6 - 23*j**2 + 13*j. Let n(q) be the first derivative of w(q). Determine n(-11). 2 Let w(m) = m**3 - 5*m**2 - 3*m - 8. Suppose -3*p - 5*i + 515 + 203 = 0, 0 = -3*i + 6. Let f = p + -230. Give w(f). 10 Let o(b) be the second derivative of b**4/12 + 5*b**3/3 + 21*b**2/2 + 12*b + 1. Suppose -10*u - 54 - 16 = 0. Give o(u). 0 Let x(s) = 0*s + 5*s**2 + 3*s + 2 - 3*s. Let q be 472/177 - 112/24. Determine x(q). 22 Let h(t) = 3*t - 44. Let m(f) = 45*f + 2520. Let a be m(-56). Give h(a). -44 Suppose 679*x - 662*x + 221 = 0. Let o(k) = k**2 + 13*k + 10. What is o(x)? 10 Let l(u) = -5*u + 63. Let h(n) = n**2 + 37*n + 326. Let t be h(-13). Give l(t). -7 Let r(u) be the third derivative of -u**4/12 - u**3/3 + 15*u**2 - 106. What is r(-15)? 28 Suppose -2 = h - p + 4, 4*h = 3*p - 23. Let f(q) = q**2 + 4*q - 1. Let r be f(h). Let t(b) = -b**2 + 6*b - 3. What is t(r)? 5 Suppose 57 - 1 = -2*j. Let l = j - -43. Let o(b) = -l*b - 15 + 12*b + 3. Give o(-8). 12 Let q(n) = -6*n**3 - 28*n**2 + 40*n + 34. Let z(j) = 5*j**3 + 28*j**2 - 38*j - 31. Let y(k) = -6*q(k) - 7*z(k). Determine y(27). -14 Let u(y) = -6*y**2 - 5*y - 5. Let v(f) = -f**2 - f. Let s(g) = u(g) - 5*v(g). Let p = 2965 - 2969. Give s(p). -21 Let d(p) = 2*p**2 + 2. Suppose 0 = 4*i - f - 0*f - 242, 4*f = -8. Suppose 31*y = y - i. Calculate d(y). 10 Let t(x) be the second derivative of 1/2*x**3 + 0*x**2 + 0 + 149*x - 1/12*x**4. Calculate t(5). -10 Let p(o) = o**2 + 13*o + 14. Let x be p(-12). Let t(a) = 3*a**x - 3*a - 10934 + 10934. Calculate t(2). 6 Let n(s) = -1131*s - 9037. Let m be n(-8). Let o(c) = c**3 - 12*c**2 + 9*c + 18. Calculate o(m). -4 Let j(o) = -5*o - 2. Suppose 300 = -5*d - n, 5*d + 305 = -5*n + 5. Let p = -53 - d. Suppose -3 = 2*l + p. What is j(l)? 23 Let n(z) = z**3 - 5*z**2 + 5*z - 4. Let h(d) = 87*d - 69. Let g be h(6). Suppose 4*p - g = -437. Determine n(p). 0 Let o be ((-231)/(-44) - 5)/(6/24). Let b(f) = -3*f + 5*f - 4*f - f**2 + 3. Let h(x) = 3*x**2 + 4*x - 7. Let m(r) = 5*b(r) + 2*h(r). Give m(o). 0 Let t = -7770 - -7770. Let m(v) = -v**2 + 4*v - 37. Determine m(t). -37 Let c(i) = 28*i - 117. Let l(j) = -93*j + 396. Let b(s) = 33*c(s) + 10*l(s). Give b(17). -3 Let j be 2*((-78)/36 - 4/3). Let d be (-4)/(-14) + (-95)/(-35) + 0. Let c(l) = -3*l - 5 - 7*l**2 - d*l**2 - 3 - l**3 + 3*l**2. Determine c(j). 13 Let y = -136 + 150. Let p(m) = -1 + y*m**2 + 20*m**2 - 33*m**2 + 5*m. Let k(f) = 2*f**2 + 9*f - 2. Let x(l) = 6*k(l) - 11*p(l). What is x(3)? 5 Let d(p) = -3*p - 42 - 40 + 83 + 2*p. Let v(a) = 3*a + 9. Let q(f) = 2*d(f) + v(f). Determine q(-5). 6 Suppose 0 = -11*g + 8*g + 96. Suppose 44*n - 36*n - g = 0. Let p(d) = -d**2 + 2*d + 1. Determine p(n). -7 Let p(b) = -342 + 701 - 2*b - 356. Suppose -3*f = 4*k - 10, 5*f + k - 7 - 21 = 0. What is p(f)? -9 Let l(y) = y - 2. Let z be ((-125)/(-20) + -5)*28. Suppose -39*b = -z*b + 16. Give l(b). -6 Suppose -3*w - 3 = 0, 0 = -0*r + r - 5*w + 12. Let d(n) = -n**3 - 18*n**2 - 18*n - 17. Let b be d(r). Let y(a) = -1 + a**3 + 0 + 8 + 3 - a. Determine y(b). 10 Let y = -10139 - -10144. Let z(x) = 0 + 2*x - 5*x + 7. Let j(f) = 4*f - 8. Let p(g) = y*z(g) + 4*j(g). Determine p(-4). -1 Let v(f) be the first derivative of -88*f**2 + 11*f + 87*f**2 + 2*f + 49. Determine v(9). -5 Let x be 208/24 + -10 - 22/6. Let n(s) = -s**2 - 6*s - 6. What is n(x)? -1 Let g(q) = 115*q**2 + 23. Let d(i) = 64*i**2 + 11. Let v(n) = -9*d(n) + 5*g(n). Calculate v(3). 7 Let d(n) = n**3 - 14*n**2 + 14*n - 3. Let z be d(13). Suppose -z = -8*b - 2. Let x(y) = -16*y**3 - y**2. Give x(b). -17 Let w(i) = -3*i - 1. Let m be ((-2)/(-6))/(-3 + (-275)/(-90)). Suppose -5*d - 3 = -m*d, d - 22 = -l. Suppose 11 - l = 4*u. Determine w(u). 5 Suppose 0 = -n - 2*a + 7, -3*n + 0*a + 17 = 5*a. Let j(l) = 158*l**2 - 5*l + 5. Let g(h) = -91*h**2 + 3*h - 3. Let r(p) = 5*g(p) + 3*j(p). Determine r(n). 19 Let g(l) = -363 + 134 + 137 + 15*l + 117. What is g(-2)? -5 Let u be 5/(-1) + 6 + -7. Let w(o) = o + 8. Let i(p) = -2*p - 17. Let d(n) = u*i(n) - 14*w(n). Suppose 77*q = 67*q - 70. Give d(q). 4 Let u be (7/7)/(3/(-207)). Let k = u - -78. Let j(l) = -l**3 + 9*l**2 + 2*l - 13. What is j(k)? 5 Let r(t) = -3*t + 13*t + 8*t - 122 - 5*t. Let s be r(9). Let m(l) = -l**3 - 4*l**2 + 8*l + 7. Calculate m(s). -8 Let o(b) = -8*b**2 + b - 6. Let q(f) = 31*f**2 - 3*f + 20. Let y(u) = -11*o(u) - 3*q(u). Determine y(-2). -10 Let v(b) = -8*b - 1. Let k = 17 - 10. Suppose -k*u + 14 = 427. Let p = u + 58. Calculate v(p). 7 Let q(j) = -4*j + 74. Let m(h) = 4*h - 18. Let r(y) = 3*m(y) + 2*q(y). Calculate r(-19). 18 Let r(n) = 39*n - 499. Let k be r(13). Let m(b) be the first derivative of -b**3/3 + 3*b**2 + 13*b - 6. Give m(k). -3 Let u(f) = f**3 + 8*f**2 - f - 10. Suppose 22 = -4*b + 2*a, -11*b + 5*a + 33 = -12*b. Determine u(b). -2 Let d(v) = -1 + 408*v - 16 - 421*v - v**2. Give d(-14). -31 Let m(a) = 4*a**2 - a - 2. Let w(q) = 13*q**2 + 26*q + 92. Let v(c) = 3*m(c) - w(c). What is v(-25)? 2 Let q(f) = 3*f**3 - 17*f**2 - 29*f + 15. Let b be q(7). Let d(z) = -11*z - b + 4 + 2. Determine d(1). -13 Let k(i) = i**3 + 12*i**2 + 21*i - 1. Let w be k(-10). Let g = w + 14. Let x(p) be the second derivative of -p**5/20 + p**4/4 - p**3/6 - 5*p. Calculate x(g). -3 Let j(b) = b**3 + 2*b**2 - 1. Suppose 2*m + 389 = 3*x, 0*x - 2*x - 404 = 2*m. Let k = 201 + m. What is j(k)? 15 Let g(d) = d**3 + 2*d**2 + 3*d + 3. Let m be (32 + -27)/(-35)*(0 + -21). Determine g(m). 57 Let c(p) = -303*p - 1210. Let v be c(-4). Let g(q) be the third derivative of 0*q**5 + 0*q - 1/120*q**6 - q**2 + 0 + 0*q**3 + 0*q**4. Determine g(v). -8 Let x(h) = 5*h + 66. Suppose 8*p - 5*p = -4*b - 41, 5*p - 38 = 3*b. Calculate x(b). 11 Let w = 6 + -5. Suppose -4*l + 5 = s, -3*s - 3 = -6. Let m(f) = l - 6*f - f**2 + f**3 + 0*f**2 - 15*f**3 + 5*f. Determine m(w). -15 Let b be (2 + -1)/((-10)/50). Let n(u) = -3
{ "pile_set_name": "DM Mathematics" }
e q. 17 Express (-60*j - 1 - 7 + 53*j)*(-12*j + 13 - 13)*(2 + 0 + 1)*(-1 - 3 + 3) as p + g*j**2 + h*j and give h. -288 Express (-376*z**3 + 8884 - 268*z**3 - 8882)*(-z + 0*z + 3*z) - 5*z**4 + z**4 + z**4 in the form f*z**4 + t*z**3 + x + v*z + s*z**2 and give f. -1291 Rearrange -261541*f**2 + 6 + 261544*f**2 + 1 + 0*f**3 - 5*f**4 + 2*f**3 - 2*f**4 to p*f**2 + d*f + t + l*f**3 + w*f**4 and give d. 0 Express (4 - 2 - 6)*(-2 + 0 + 3)*(-103*p - 9755 + 9755) in the form d*p + m and give d. 412 Express 562*x**3 - 3*x + 498*x**3 - 1172*x**3 + 2*x**2 - 1 in the form m*x**2 + s*x + a*x**3 + p and give a. -112 Rearrange 11*d**2 - 8*d**2 + 410 - 2*d**4 + 8493*d**3 - 8490*d**3 to j*d**2 + o + t*d + p*d**4 + y*d**3 and give y. 3 Rearrange 8227810 - 8227810 - 6384*o to x*o + y and give x. -6384 Express 161 - 38*x - 17*x - 2*x**2 + 307 + 57*x + 158 as y*x**2 + w + t*x and give y. -2 Express 259 - 55 - 206 - 1713*d**2 in the form v*d + i*d**2 + o and give o. -2 Express ((4 - 1 - 1)*(-3 + 0 + 5) + 3 - 3 - 1 + 1 + 1 + 0)*(6*i - 223*i**4 - 2*i**3 - 233*i**4 + 454*i**4 + 5) as p + b*i**3 + s*i**2 + u*i + k*i**4 and give u. 30 Express -7*v**3 - 208*v**2 + 208*v**2 + (10*v**2 - 3*v**2 - 2*v**2 + (-4 + 2*v + 4)*(0*v - v + 0*v))*(3*v - 8*v - 2*v) as j*v**2 + y + k*v**3 + d*v and give k. -28 Express 222*r**3 + 533 - r**2 - r - 220*r**3 - 1678 in the form t*r + j*r**3 + v + b*r**2 and give j. 2 Express -1083 - 409 + 2*m - 3*m - 1600 + 481 as t + g*m and give t. -2611 Express -b**2 - 21*b**2 - 15*b**2 + (-2*b - b**2 + 2*b)*(3 + 0 + 4) in the form n + l*b + k*b**2 and give k. -44 Express 3*f**3 - 6*f**2 + 6*f**2 - f**3 - 3344 + f + 2193 as m*f + d*f**3 + q + r*f**2 and give q. -1151 Rearrange -82*h - 5*h**3 - 69*h - 323*h**3 + 151*h - 9*h**2 to r*h**2 + t + i*h + c*h**3 and give r. -9 Rearrange ((-2*i + 2*i - 2*i)*(5 - 1 - 2) - 2*i + 3*i + i)*(-12*i**3 - 281*i**3 - 455*i**3) to the form p + u*i**4 + j*i**3 + s*i + w*i**2 and give u. 1496 Express 1512*d + 958*d - 460*d in the form c + l*d and give c. 0 Express -118*c - 2 + 283*c - 1 - 11 - 5*c in the form n*c + a and give a. -14 Express 592*n**3 - 440*n**3 + 3*n**4 - 11*n + 13*n + 2519*n**3 - 4*n**4 in the form l*n + k + b*n**2 + a*n**4 + h*n**3 and give h. 2671 Express (-4*g**3 + 4*g**3 - 3*g**3 + (0*g - g + 3*g)*(-4*g**2 + 256*g**2 + 4*g**2))*(-1 - 6 + 9) in the form o*g**2 + c*g + b*g**3 + v and give o. 0 Rearrange -3 - 2*a + 3 + (-2 + 2*a + 2)*(-7836 - 4030 - 1066) to the form p + u*a and give u. -25866 Express -1540 + 718 + 40*x + 774 in the form o*x + i and give o. 40 Rearrange 4 + 3735*l + 46 - 3722*l to the form g + h*l and give g. 50 Express (-2029*s - 878*s + 1799*s - 2197*s - 2 - 145*s)*(5*s + 0*s - 2*s) in the form z*s + g + q*s**2 and give z. -6 Express 156 + 117 - 51 - 16 - 23*u + 94 as k + i*u and give i. -23 Express -4*i - 33 + 4*i**2 - 13*i**2 + i + 3*i in the form b*i**2 + l + z*i and give l. -33 Express (-1 + 4 - 1)*(-9 + 14 + 5)*(180 - 180 - 230*a**2) in the form r + j*a + x*a**2 and give x. -4600 Rearrange b**4 + 5*b**3 - 2*b**4 + 17*b + 8*b**3 - 655868*b**2 + 655867*b**2 + 7*b**3 to the form t + a*b + l*b**2 + s*b**3 + u*b**4 and give l. -1 Express -p**2 - 25*p + 15*p + 795 + 10*p + 2342 as l + f*p + g*p**2 and give g. -1 Rearrange ((-2*l + 1 - 1)*(2 - 3 - 1) + 4*l - 5*l + 0*l)*(3173 - 50 + 3361 - 1458) to the form x + p*l and give x. 0 Express r**2 - 3*r**2 + 0*r**2 + (-1 - 5 - 2)*(-23*r**2 + 265*r**2 + 82*r**2) in the form o + q*r**2 + g*r and give q. -2594 Express -9 - 2*c - 184 + 14*c**2 - 12*c**2 as n*c + b + x*c**2 and give b. -193 Rearrange 3164*s + 171*s - 2067*s + 4503*s to d*s + a and give d. 5771 Express -11*b - 56*b - 56*b - 55*b + 174*b - 3198 as u + m*b and give m. -4 Express (1405*g + 78*g - 232*g)*(-g + g + 2*g**2 + 2) in the form s*g + r*g**3 + v + h*g**2 and give s. 2502 Rearrange -9*h**2 - 63*h**4 + 117*h**4 + 7*h**2 - 56*h**4 - 1255*h**3 to the form p + f*h + s*h**4 + u*h**3 + m*h**2 and give u. -1255 Rearrange 1041 - 318 - 2*i - 325 - 258 - 245 to l + g*i and give l. -105 Rearrange -17107 + 9*f**3 + 2*f**4 - f**3 + 17106 + 7*f**2 to the form r*f**4 + q*f**2 + w*f**3 + h*f + j and give j. -1 Express (-314 + d**2 + 217 - 10699*d + 97)*(-3*d + 5*d - 4*d + (0 + 1 + 1)*(d + 2 - 2) + d + 0*d - 2*d) as q + c*d**2 + o*d**3 + i*d and give o. -1 Rearrange -765 - 42*b**3 - 8*b**2 - 28*b**3 - 41*b**3 + 764 to the form r*b**2 + a + n*b**3 + i*b and give a. -1 Rearrange -28 - 42 + 96*n**2 + 43*n**2 + 71 to r*n**2 + k + q*n and give r. 139 Rearrange (-4*l**2 + l**2 + 5*l**2)*(-4 - 4 + 1) + (-15*l + 12*l + 92*l)*(-3*l + 3*l - 2*l) to k*l**2 + o + r*l and give k. -192 Express -46*u + 2207*u**2 - 19*u + 93*u - 28*u as c*u + j + a*u**2 and give a. 2207 Rearrange (2 - n**2 - 2)*(20 + 20 - 18)*(-143*n + 58*n - 224*n - 147*n - 176*n) to a + m*n**3 + q*n**2 + t*n and give m. 13904 Express (874*d**2 - 196*d**2 + 310*d**2)*(18*d + 4*d**2 - 18*d) as u*d**4 + s + h*d + i*d**3 + t*d**2 and give u. 3952 Express 46 - 3*u**4 + 6*u**2 - 87*u + 3*u**3 + 0*u**4 - 9*u**2 - u**3 + 85*u as p*u + y*u**2 + a*u**4 + r*u**3 + f and give y. -3 Express -7401*d + 1172*d + 416 - 416 in the form t*d + n and give t. -6229 Rearrange (154*r - 1142 + 1142)*(-r + 3*r - r) + 3*r + 4*r**2 - r**2 - 131 + 138 to s*r**2 + f*r + t and give t. 7 Rearrange -3*z + 1369*z**2 - 642*z**2 + 5 - 719*z**2 to o + b*z**2 + t*z and give t. -3 Express (-1 - 3*y + 1)*(2*y + 833*y**2 + 884*y**2 + 97 - 1713*y**2) in the form s*y**2 + h*y + g + d*y**3 and give h. -291 Express (-29*q - 209 + 209)*(1925*q**2 + 6 - 1923*q**2 + 0) in the form c*q + t*q**2 + o*q**3 + a and give o. -58 Rearrange (-278*b**2 + 3 - 3 + 761*b**2 + 77*b**2)*(-2 + 5 + 26) to the form d*b**2 + k*b + g and give d. 16240 Rearrange 33 + 15 - m - 28 - 3*m**2 + 54 + 130 to a*m + f + u*m**2 and give a. -1 Express (d - 4*d + 0*d)*(16 - 27*d - 16)*(3*d + 2*d + 2*d) in the form n*d**2 + b*d**3 + f + u*d and give b. 567 Express 30*o + 2*o**2 - 122*o + 4 + 79*o in the form f*o + s + m*o**2 and give f. -13 Rearrange 202*b + 162 + 0*b**4 + 3*b**3 - 196*b - 5*b**2 - 161 + 12*b**4 to v*b + l*b**3 + i + q*b**4 + f*b**2 and give v. 6 Express 329*s**3 - 273*s**3 - 106*s**3 + 49*s + (-4*s**2 + s**2 + 0*s**2)*(s + s - s) as q*s**3 + z + o*s + t*s**2 and give o. 49 Express (-464 + 242 + 238 - 7*x**2)*((1 - 3 + 1)*(-4 - 1 + 4) + (2 + 4 - 4)*(5 + 3 + 11) + 2 - 3 - 1)*(4 - 3 + 0) in the form w + t*x + a*x**2 and give w. 592 Express 19 - 128233*n + 143998*n - 19 in the form z*n + u and give u. 0 Express (6 - 10 - 12 - 3)*(217*v + 21*v - 67*v) in the form w*v + c and give w. -3249 Rearrange 485*a - 69*a**3 - 269*a - 224*a to y*a**3 + x*a**2 + o + n*a and give n. -8 Express -296 + 1318*l**2 - 664*l**2 - 111 - 655*l**2 - 383 as o*l**2 + g*l + j and give j. -790 Rearrange (1073*n**3 + 2 - 376*n**3 - 557*n**3)*(-3*n + 3*n + 2 - 2*n) to the form g + l*n**4 + q*n**2 + m*n**3 + c*n and give c. -4 Express -8455*s + 3793*s + 3101*s as c + o*s and give o. -1561 Express 0*r**3 - 1 - 356*r + 1526*r - r**3 + 2315*r - 570*r in the form l*r + o*r**2 + j*r**3 + s and give j. -1 Rearrange -1977 - 4*h**3 + 0*h**2 + 992 + h**2 + 1037 - 2*h to the form p*h**3 + q*h + s + j*h**2 and give j. 1 Express q**3 + 469*q - 882 + q**3 - 2498 - 231*q - 236*q in the form b + y*q + x*q**3 + p*q**2 and give x. 2 Rearrange -118 + 170 + 219*g**2 - 55 to j*g**2 + w + n*g and give j. 219 Express 5 - 7*d - 5 + (0 - 2 - 3)*(6*d + 4*d - 5*d) + (4*d + 0*d - 2*d)*(-1 + 2 + 0) - d + 4*d - 2*d in the form s + n*d and give n. -29 Rearrange (17535 + 33719*a**2 + 33693*a**2 - 67414*a**2)*(-1 - 4*a + 3*a - 1) to the form i*a**3 + s*a**2 + x*a + y and give x. -17535 Rearrange 34*r - 88*r**4 + 65*r**2 - 63*r**2 - 94*r**4 + 171*r**4 to the form h*r**3 + i*r + n*r**4 + o + c*r**2 and give c. 2 Express -3*n**4 + 11*n - 3*n**4 + 7*n**4 - 101 - 2*n**4 + 186*n**2 - 2*n**3 - 188*n**2 as p*n**4 + a*n**3 + m*n**2 + b*n + q and give a. -2 Express -12 + 13 - 11544*k + 460*k - 7520*k + 418*k + (-2 - 2*k + 2)*(3 + 0 - 4) in the form l + j*k and give l. 1 Rearrange (-2*c**2 + 9 - 9)*(1924*c + 1586*c + 4069*c - 3476*c + 1675*c) to the form v*c**3 + i*c**2 + f + l*c and give v. -11556 Rearrange -4 - u - 591*u**4 - 17*u**2 + 2*u**3 + 597*u**4 + 18*u**2 to the form q +
{ "pile_set_name": "DM Mathematics" }
)/j)*j))/(j**12*j**13))**(-5/2))**(2/57) assuming j is positive. j**(4075/1083) Simplify ((u/u**(7/4)*u)/u**4)/(u*u**0)**48*u**(-1)/(u*u**1)*(u**(-6/5)*u*u)/(u/(u*u**(1/2))*u) assuming u is positive. u**(-1089/20) Simplify (k*(k*k**(7/5))/k*k**(1/5))/(k**(-2))**(-9/8)*k**(3/2)*k*k**(-4)*k*k**8/(k**(2/5)/k) assuming k is positive. k**(169/20) Simplify (((v*v**(-1/27))/(v/(v**(4/5)/v)))/((v/(v*(v/v**(-7)*v*v)/v))/(v**(-21/2)/v)))**(-12) assuming v is positive. v**(1478/45) Simplify (s/s**(-1/5)*s**4*s**(-3/11)/(s*s**(-3/5)/s))/(s**(1/3)*s/s**7*s*(s*s/((s**(7/4)/s)/s))/s**(-2)) assuming s is positive. s**(3923/660) Simplify ((n**0)**(6/7))**(-1/63)/(n**4/n**1)**(3/25) assuming n is positive. n**(-9/25) Simplify (s**(6/7)*s**(2/7))**(-15/4)/((s/(s*s**(-1)))**(-43)/((s/(((s*s**(-3/2)*s*s)/s)/s))/s**(4/9))) assuming s is positive. s**(5011/126) Simplify ((g**(1/16)/g)/(g/((g/g**(2/75))/g)))/(g**(-4/25))**(20/11) assuming g is positive. g**(-22087/13200) Simplify (j/j**(2/5))**(5/7)/((j**(-5)/j)/j*j**3)*(j**(1/2)*j)**(-27/5)*j*j**(4/5)/j*j/(j*j/j**(1/9)*j) assuming j is positive. j**(-2999/630) Simplify (d*d**5*d*d*d*d)/d*d**(-1/5)*(d**(-1))**(-25)*((d**(-1/2)*d)/d*d**(1/3)*d)**(7/6) assuming d is positive. d**(6259/180) Simplify (((r*r*r**(-15/8)*r)/r*r/(r*r**26))/(((r/r**(-3/2)*r)/r)/(r**(6/11)*r)))**12 assuming r is positive. r**(-7083/22) Simplify (((k/k**(2/15)*(k/(k**(-3)*k))/k)/((k*k/k**(1/6))/k**(-2)))**(-1/8))**(-11/3) assuming k is positive. k**(-319/720) Simplify ((((l*l**26*l)/l)/((l*l/(l*l*l*l**(2/29)))/l))/((l/(l/l**(-1/20)))/(l*l*l/(l**(-5)/l)*l*l)))**(-2/71) assuming l is positive. l**(-23269/20590) Simplify (y**(-33)*y*y**(21/4)/y)/((y**21*y)/y**(-3/47)) assuming y is positive. y**(-9365/188) Simplify (u**(-1/4))**(-17)*u*u/(u**(3/4)*u)*u*u**(-1/6)*((u/(u/((u*u**(-1/6))/u)))/(u**(-1/3)/u))/((u**(-3/5)*u)/u**(2/5)) assuming u is positive. u**(13/2) Simplify (l/(l/(l/(l*l**(-22))))*l*l*l**(-37))/(l**(-1/3)/l)**(-33) assuming l is positive. l**(-57) Simplify (((a**(2/3)*a*a)/a*a**(2/3))/(a**(3/7)*a*a/a**1))/((a**(2/3))**1/(a**(1/5)*(a/a**0)/a)) assuming a is positive. a**(46/105) Simplify ((u**4/((u/u**(1/11))/u)*(u*((u**2*u)/u*u)/u)**(-20))**(14/11))**26 assuming u is positive. u**(-223860/121) Simplify ((h/h**1*h)/h)**33/(h**(-1))**(3/13)*h*h/(h*h/h**(-4))*h*h**4*h*(h*h**(2/7)*h*h)/h*h*(h**1/h)/h*h assuming h is positive. h**(502/91) Simplify ((s**(-1/7)/(s/s**(-11)))/(s/(s**0/s)*s)**(1/38))**28 assuming s is positive. s**(-6502/19) Simplify (b**(-5/2)*b**(2/9))/(b**5*b**4)*(b*b**6/b*b*b*b**1)**(-4/7) assuming b is positive. b**(-2069/126) Simplify (w**(-1)*w**(2/13))/(w**(-2/9)*(w/(w**(-1)/w))/w)*((w*w**(2/5))**(-42))**(1/5) assuming w is positive. w**(-42073/2925) Simplify w**2*w/w**(-3/5)*w/((w*w**(-4/9))/w*w)*((w**(1/5)/w)/w)/w*(w**6*w**(-2/5))/(w/w**(-2/7))**(29/4) assuming w is positive. w**(-3121/1260) Simplify (g**(7/2)/(g**(-2/9)*g)*(g*g/(g*g*g**(-2/3)*g*g))**(-5/3))/(((g*g*g**(2/3))/g)**(-4/15))**(-6) assuming g is positive. g**(41/18) Simplify ((z/(z/(z*z**0)*z*z)*z)**41/((z*z/z**(3/7)*z)/z*z*z**(-5)))**(-32) assuming z is positive. z**(-544/7) Simplify ((z**(1/15)/z**17)/(z/(z**(4/3)*z)*z*z**(-16)))**3 assuming z is positive. z**(-9/5) Simplify (x**6/(x*x**(-9)))**(-17)/((((x/(x*x**(3/7)*x))/x*x)/x)/(x/(x**(-5/4)*x*x)))**37 assuming x is positive. x**(-3889/28) Simplify ((z/z**(2/9)*z**(3/5)/z)/((z**(-4)*z)/(z**(1/4)*z)))/((z/z**(-3/8))/z*z/z**(-4)*(z**(-1/3)*z)/z*z**6) assuming z is positive. z**(-2309/360) Simplify (x/(x**0*x))**(-3/13)/(x**7*x**(4/7))*((x*(x**(2/5)*x)/x*x)/x)**(-49)*(x**(1/2))**(2/21) assuming x is positive. x**(-7993/105) Simplify r**(-2/23)*r*r**27*(r/(((r**36*r)/r)/r)*r*r)/(r/(r/(r*(r*(r*r**(-32))/r)/r*r))*r) assuming r is positive. r**(573/23) Simplify ((l/(l/(l*l**(3/14)/l)))**3/(((l*l*l**(-9/7)*l*l)/l)/(l/(l*l**(-5)/l))))**(-1/90) assuming l is positive. l**(-23/420) Simplify (((t**(-1)*t)**(12/13)*t/((((t*t*t/(t**(2/9)*t*t)*t)/t*t)/t)/t*t)*t**(-1))**(-25))**(-9) assuming t is positive. t**(-175) Simplify (((r/(r**(-4)*r))/r**5)/(r*(r*r/((r/(r**6*r)*r)/r)*r)/r*r*r*r/r**5))/((r**(-1))**(-3/44))**(3/2) assuming r is positive. r**(-713/88) Simplify ((f*f**(-1/7)*f)/f**(-3/8))/(f/(f*f**(-6)*f)*f**(-2/31)/f)*f*f*f**(-3/4)/f*f*f/f**2*f/f**(-3)*f**1 assuming f is positive. f**(6157/1736) Simplify (r/(((r*(r/((r**(3/5)/r)/r*r))/r)/r)/r*r)*r*r**2)**45*((r*r**(-5))/(r/(r*r*r*r**9/r*r)*r))/(r**(-4)/(r/r**(-5))) assuming r is positive. r**178 Simplify (u/u**21)/(((u*u*(u/(((u/((u/u**(2/29))/u))/u)/u*u))/u*u)/u)/u)*(u/(u*(u**13/u)/u))**(-3) assuming u is positive. u**(350/29) Simplify ((o**(1/15))**30/((o/o**(-1/5)*o)/((o/(o/o**(-1)))/o)))**6 assuming o is positive. o**(-66/5) Simplify (((z*z**(2/27))/z)**21/(((z*z/(z*z/(z/(((z*z/(z**18*z)*z)/z)/z)*z))*z)/z)/(z*z**(-20)*z)))**(2/17) assuming z is positive. z**(-656/153) Simplify (c/(c*(c**(1/2)*c)/c)*c*c)**(28/5)/((c**6*c)/c**(-2/7))*(c**(3/7)*c/(((c/(c*((c**(3/4)*c)/c)/c*c))/c)/c)*c)**22 assuming c is positive. c**(8053/70) Simplify (w**(-1/7)/(w/(((w/(w*((w*w**(3/13)*w)/w)/w))/w)/w)))**(-5/7)*(w**0/w)**(2/17)*(w*w**(-1/2)*w)**39 assuming w is positive. w**(1316635/21658) Simplify (((b/b**(-6/7))/b*b/(b**10/b))/((b/(b/(b*b**5)))/((b**(-5/7)/b*b)/b)))**(-1/9) assuming b is positive. b**(104/63) Simplify ((g/g**(-4/7)*((g*g/(g*g/g**11*g)*g)/g)/g)/(g**(-15))**(-25/2))**(-23) assuming g is positive. g**(56971/14) Simplify (((t*t**26*t)/t**(-29))**(-5))**45 assuming t is positive. t**(-12825) Simplify ((x*x/(x**(-16)*x)*x*(((x**(2/5)/x)/x)/x)/x)/((x**(1/33)*x*x)/(x/x**(9/4)*x)))**(-4) assuming x is positive. x**(-7999/165) Simplify ((l**(2/3))**(4/11)/(l**(1/3))**(-15))/((l**2)**(1/17)/(l**(1/3))**(-18)) assuming l is positive. l**(-491/561) Simplify (b**(-1/4)*b**(-1/4)*b**(4/7)/((b*b**8)/b*b))/(b**(-1/2)*b**10)**(-41/5) assuming b is positive. b**(2414/35) Simplify (w**3*w**(-1/4))**(-2/75)/((w**0/w)**(1/30))**(4/7) assuming w is positive. w**(-19/350) Simplify (y**(-3/7)*y/(y*y**(1/7))*y*y**(-2/3)*y**(1/3))/(((((y*y**(-2))/y*y)/y*y)/y**(-2))/((y*y*(y/(y/y**(2/3)))/y)/y)**(-2/5)) assuming y is positive. y**(-41/35) Simplify (((x**1*x)**(-2/3)*(x**(-1/2))**(17/2))**(-1))**(1/46) assuming x is positive. x**(67/552) Simplify (((d*d**(1/2))/d**(3/2))/(d**0*d)**(-1/48))/((d/(d*d**(-2)/d*d))/(d/d**(-2/11)))**(2/77) assuming d is positive. d**(-17/40656) Simplify (a*a**(6/17)*a*a/(a*(a/a**(-4/25))/a*a)*a**(-43)*a**(2/37))**(-4/27) assuming a is positive. a**(2626264/424575) Simplify q**1/q*q**(-5/6)*q*(q*(q**(-4)/q)/q)/q**0*(q**(1/2)/(q/((q*q*q**(-3)*q)/q)))**37 assuming q is positive. q**(-181/3) Simplify ((a*a/a**0)**(-3/5))**(2/5)/((a/a**(-1/7))/a**(-1/2))**(38/3) assuming a is positive. a**(-11177/525) Simplify (k**6*k/(k**(-4/3)/k*k)*k**(-2/3)/((k**(-1/8)*k)/k))/((k/k**(-2/3))**48*(k**(1/3)/k*k)/(((k**(-8)/k)/k)/k)) assuming k is positive. k**(-2005/24) Simplify (o**8*o**(1/54)*(o/((o*o**(4/15)/o*o)/o))/o**(-7/4))**9 assuming o is positive. o**(5671/60) Simplify (((m/m**(2/7))/m**(-1/3))/((m**(-2)/m)/m**(-4)))/((m/(m*m**(-1)*m*m))**(-31)/((m*(m**2*m)/m*m*m*m)/(m/m**2))) assuming m is positive. m**(-503/21) Simplify (d**(5/6)/(d*d*d**(2/9))*(d/(d/(d**(-4/7)/d*d))*d)/((d**(-3/16)/d)/d*d))**(-8/5) assuming d is positive. d**(-229/630) Simplify ((j**19/j)/j)/(j**(-2/35)*j)*(j**(-1/5)*j)**(1/25) assuming j is positive. j**(14078/875) Simplify (l**(-1/6)/l**(-8))**31/(((l/l**9)/((l*l/l**4)/l))/(l/l**(-2/11)*l)**(1/27)) assuming l is positive. l**(49087/198) Simplify (h**(-9)*h*h/(h**(3/28)/h)*h**21/((h*h**(3/13))/h*h))**(-4/25) assuming h is positive. h**(-4973/2275) Simplify ((((f*f**(4/5))/f**(3/2))/(f*f**(-2)*f)**46)**(1/28))**(-30/7) assuming f is positive. f**(-9/196) Simplify (((g/g**(-2/5))/(g/(g*(g/g**(-9))/g)))/(g**(2/9))**(11/4))/((g**(1/8)/g)/g*g**(2/21)*(g/g**(1/4)*g)/((g**(-1/11)*g)/g)) assuming g is positive. g**(269653/27720) Simplify (((d/((d**(-1/7)/d*d)/d))/d*d)**(-39/4)*(d/(d**(-2/23)/d))**(-1/4))**(-3/13) assuming d is positive. d**(41373/8372) Simplify ((a**16*a)**14/((a**25/a)/(a/(a**(-7/5)/a)*a*a)))**(-8) assuming a is positive. a**(-8776/5) Simplify (j**(-1)*j*j**(3/10)/j*((j*(j**(-1/8)/j)/j*j)/j)/(j/(j*j/(((j/j**0)/j)/j)*j)))/(j**1/j**1*(j*
{ "pile_set_name": "DM Mathematics" }
10) Simplify (v/((v**(-4)*v)/v*v))/(v/v**(10/9)) assuming v is positive. v**(37/9) Simplify l**15/l**(11/3) assuming l is positive. l**(34/3) Simplify (x/(x/(x**(3/8)*x))*x)/(x**4/x)*(x**1)**(2/49) assuming x is positive. x**(-229/392) Simplify (y*y**(-1))**(-48)*y**(4/3)*y**(1/3)*y assuming y is positive. y**(8/3) Simplify (((c**(-2/7)/c)/c)/c)/(c**1/c)*(c/(c*c**4))/c**(-7) assuming c is positive. c**(-2/7) Simplify (p*p*p**(-2/39)*p)**(-3/2) assuming p is positive. p**(-115/26) Simplify ((r*r/((r/r**(-11)*r)/r))/r**(-21))**(5/19) assuming r is positive. r**(55/19) Simplify (k/(k*k**(2/23)))/k**(-16) assuming k is positive. k**(366/23) Simplify (o/(o/(o**25*o)))/o**12 assuming o is positive. o**14 Simplify (q/q**(-4))**(5/4) assuming q is positive. q**(25/4) Simplify (i**(2/47))**(-2/89) assuming i is positive. i**(-4/4183) Simplify (x/(((x/((x*x/(x*x/(((x*x**(-2)*x)/x)/x)*x*x*x))/x*x)*x)/x)/x)*x)/(x*x/(x/x**(-2/13))) assuming x is positive. x**(-50/13) Simplify (k/(k*k**(2/3))*k/((k**(-9)/k)/k))**(-3/7) assuming k is positive. k**(-34/7) Simplify (u**(2/5)*u*u)**(-2/61)/((u**(-2/7)/u)/u)**5 assuming u is positive. u**(24232/2135) Simplify (c**(-1/3))**(-8)*c**(-3/7)/(((c**(-2)/c)/c)/c) assuming c is positive. c**(152/21) Simplify (a/(a*(a*a*a**(1/24))/a*a))/a**(-24) assuming a is positive. a**(527/24) Simplify (z**0)**(-12)/(z/(z/(z/z**(-1/4))))**34 assuming z is positive. z**(-85/2) Simplify (p**1/p)/(((((p/((p/(p*p**1*p)*p)/p)*p*p)/p)/p)/p)/p)*(p**(1/4)*p)/(p/(p*p**(-6)*p*p)) assuming p is positive. p**(-15/4) Simplify ((g*g**(-2/9))**(-4/9))**(-36) assuming g is positive. g**(112/9) Simplify (b/(b**3*b*b))/(b/(b*b**(-2)/b*b))*b**(2/11)/(b**(1/3)/b) assuming b is positive. b**(-170/33) Simplify (b*b*b*b*b**(-3/13)/b)/b**(-4/7) assuming b is positive. b**(304/91) Simplify (h/(h/((h/h**(-2))/h*h)))**(-19/3) assuming h is positive. h**(-19) Simplify ((p*p**(2/9)/p)**0)**(8/3) assuming p is positive. 1 Simplify a/(a**46*a*a)*a**(-17) assuming a is positive. a**(-64) Simplify (k*k**1*k)**(-2/9)/((k/(k**7/k))/(k*k**(-2/7))) assuming k is positive. k**(106/21) Simplify f/(f/f**28)*f*f**(-22) assuming f is positive. f**7 Simplify (k**(-1)*k)**37*(k**0*k)**(-2/9) assuming k is positive. k**(-2/9) Simplify (w**8)**33 assuming w is positive. w**264 Simplify m/m**(-9)*(m**4/m)/m*m assuming m is positive. m**13 Simplify ((((l**(2/7)*l)/l)/l)/(l*l*l**(-3)))/(l/l**(-2/7))**(-44) assuming l is positive. l**(398/7) Simplify (z*z/(z/z**(-5/3))*z)/((z*z**(-25)/z)/z) assuming z is positive. z**(79/3) Simplify ((r/r**(-7)*r*r)/((((r**(4/7)*r)/r*r)/r)/r))/(r**2)**29 assuming r is positive. r**(-333/7) Simplify ((g**2*g)/g**0)**(-4/7) assuming g is positive. g**(-12/7) Simplify (w**(-2/9)/(w*w/(w*w**(-4)*w*w)*w*w))/(w**(2/7)/w**(-1/5)) assuming w is positive. w**(-1798/315) Simplify ((m**(-4/3))**(-3/7))**40 assuming m is positive. m**(160/7) Simplify (s**11)**(-27) assuming s is positive. s**(-297) Simplify ((t/(t*t*t/(t*t**(2/3)*t*t)))/(t*t*t*t**(1/4)))**(-33) assuming t is positive. t**(209/4) Simplify (b**(-4)/b)**(3/14) assuming b is positive. b**(-15/14) Simplify ((c**(-2/9))**(-9))**44 assuming c is positive. c**88 Simplify (b*b/(b/(b/(b/(b/b**0)*b)*b)*b))/(b**19*b) assuming b is positive. b**(-19) Simplify ((s**(2/5)*s)**(44/3))**(-16) assuming s is positive. s**(-4928/15) Simplify (u**11/u)/((u/u**(-6))/u) assuming u is positive. u**4 Simplify (t/((t*t*t*((t**(12/5)*t*t)/t)/t*t*t)/t))/(t**3/t) assuming t is positive. t**(-37/5) Simplify (l**(-8)*l*l**(-4/3)/l*l)/(l**(-1/4))**(-46) assuming l is positive. l**(-119/6) Simplify ((l/l**(1/3))/l)/l*l**4*l**(-2/13)/(l**(-6/7)/l) assuming l is positive. l**(1193/273) Simplify b*b/b**(-1/10)*b*b**(-2/15) assuming b is positive. b**(89/30) Simplify m**21/m**(-2/3) assuming m is positive. m**(65/3) Simplify (o**(5/2)/((o/o**7)/o))**(5/2) assuming o is positive. o**(95/4) Simplify (f*f**(-14/3))**2 assuming f is positive. f**(-22/3) Simplify ((y**(-1/2))**(-21))**(-3/31) assuming y is positive. y**(-63/62) Simplify (v**(-2/3)*v)**3*v**(-1/9)*v**(-3)/v assuming v is positive. v**(-28/9) Simplify g**(-3/13)/g**(-4) assuming g is positive. g**(49/13) Simplify (c/c**20)/c*c**(5/3) assuming c is positive. c**(-55/3) Simplify w**(7/6)*w**(-1/4)*w assuming w is positive. w**(23/12) Simplify v**(-2/21)*v**(-16) assuming v is positive. v**(-338/21) Simplify ((c**(2/5)/c)/c)**18*c/(c/((c*c**(1/3))/c))*c**(1/3) assuming c is positive. c**(-422/15) Simplify (c/(c**(-9)/c))/c**5*((c*c**(2/11)/c)/c)/(c*c**(7/2)) assuming c is positive. c**(15/22) Simplify (c**2*c)/(c/c**(-1/5))*((c**(-6)/c)/c)/c**1 assuming c is positive. c**(-36/5) Simplify ((i**2*i)/((i/(i*i*i**(7/5)*i))/i))**(-32) assuming i is positive. i**(-1184/5) Simplify ((z*z**(-9))/(z**(2/3)/z))/((z*z*z/z**(2/17))/z**(-7)) assuming z is positive. z**(-895/51) Simplify (h**11*h)/(h/h**(2/35)) assuming h is positive. h**(387/35) Simplify (d*(d*d*d/(d**(-3/8)*d))/d*d*d*d/d**5)/(((d/(d/(d*d**(-1))))/d)/d*d/((d/d**(-1/5)*d*d)/d)) assuming d is positive. d**(143/40) Simplify (q**(-31))**(-8) assuming q is positive. q**248 Simplify (f**(1/3)*f/(f/f**(3/2))*f)/(((f**(-3/7)*f*f)/f)/(f*f**(-2)/f)) assuming f is positive. f**(11/42) Simplify (j**(-1/3))**(-3/5) assuming j is positive. j**(1/5) Simplify (f**(1/4)*f*f*f**(-1/10))/((f*f**(-3/7))/(f/f**(2/17))) assuming f is positive. f**(5857/2380) Simplify (p*p**2)/(p**(1/6)*p*p)*(((p**(1/2)/p)/p)/p)**(-38) assuming p is positive. p**(575/6) Simplify ((k/(k/k**4*k))/k*k)/k*k*k*k**(-13)*k assuming k is positive. k**(-8) Simplify (u/u**(-2/39))/(u*((u/((u*((u/u**10)/u)/u)/u)*u*u)/u)/u) assuming u is positive. u**(-466/39) Simplify (x**(3/2)/x)/(x/(x*x*x/(x/(x/x**(-4/7)*x))*x))*(x**2*x)/(x*x*x*x/(x**(-6)/x)) assuming x is positive. x**(-41/14) Simplify u**(-4)*u*u*u*(u**(-1/11)/u)/u assuming u is positive. u**(-34/11) Simplify (f*(f*f*f**5)/f*f)/((f**(-34/5)/f)/f) assuming f is positive. f**(84/5) Simplify (k*k*k**(4/11)*k)/(k**(-29)*k*k) assuming k is positive. k**(334/11) Simplify (z**26*z)/z*z*z*z**25 assuming z is positive. z**53 Simplify (u/(u*u**(-5/2)*u))/u*u/(u/(((u*u*(u*u*u**(1/6)*u)/u*u*u)/u*u)/u))*(u/(u*((u*u**(2/7))/u)/u*u*u))**32 assuming u is positive. u**(-745/21) Simplify g**(1/9)*g/((g*g*g**(-8)*g)/g) assuming g is positive. g**(64/9) Simplify (y**(-3/22)/y)**40 assuming y is positive. y**(-500/11) Simplify ((f/(f**(-3/8)/f))/f*f*f*f)/f*f**7/f*f assuming f is positive. f**(83/8) Simplify (a/(a/a**1))/(a**(-2/3)*a) assuming a is positive. a**(2/3) Simplify (q/(q*q/(q*(q/(((q/((q**7/q)/q))/q)/q))/q)))**50 assuming q is positive. q**300 Simplify r/((((r*r**15*r)/r)/r)/r)*r*r*r**(3/5) assuming r is positive. r**(-52/5) Simplify i/(i/(i/i**(2/25)*i)*i)*i*i**28 assuming i is positive. i**(748/25) Simplify j*j/(j*j*j**32)*((j/(j**28/j)*j*j)/j)/j assuming j is positive. j**(-58) Simplify p/(p*p*p/(p/(p**24/p)))*(p/(p/((p/(p/p**(-12))*p)/p)))/p assuming p is positive. p**(-37) Simplify g*g**(-21)*g/(g*g**(-20)) assuming g is positive. 1 Simplify (o**(-1/2)/o)**(-22/7)/(o**(-3)/o*o/o**(-1/2)) assuming o is positive. o**(101/14) Simplify l/(l/(l*((l/(l*l**31))/l)/l))*l**(-2/21) assuming l is positive. l**(-674/21) Simplify (d/(d**(-20)*d*d))/d*d*d*d*(d*d**36/d*d)/d*d assuming d is positive. d**58 Simplify ((y/(y/(y**(-9)/y)))/(y*y**0*y))**(-14/11) assuming y is positive. y**(168/11) Simplify a/((a/(a/a**5))/a)*(a*a**(1/11)*a)/a*a*a assuming a is positive. a**(1/11) Simplify (w/w**(-3)*w)/w*w**(2/27) assuming w is positive. w**(110/27) Simplify (k/(k/k**(-6/11)))/k*k*k/((((k**(-9/4)/k)/k)/k*k)/k) assuming k is positive. k**(251/44) Simplify g**(-39)/g*g*g**39 assuming g is positive. 1 Simplify (l**(1/3)*l)**(-18/11)*(l**7*l*l)/l**(5/2) assuming l is positive. l**(95/22) Simplify (((b/b**14)/b*b)/(b/b**20))**(2/3) assuming b is positive. b**4 Simplify g**(-26)*g/(g/g**(10/11)*g*g)*g assuming g is positive. g**(-287/11) Simplify (d*d**(-1/10)/d)/d*d*d/(d/(d*d*d**(-1/4)))*d*d*(d*(d**(-5)/d)/d)/d*d/(d*d*(d**(3/5)*d)/d) assuming d is positive. d**(-99/20) Simplify (m/(m*m/(m/(m**(-11)/m*m)))*m)/(m/(m*(m*m/(m/(m**26/m))*m)/m)*m) assuming m is positive. m**37 Simplify (q*q**(-3/22)/q*q*q**(-3/13))**(-1/41) assuming q is positive.
{ "pile_set_name": "DM Mathematics" }
4*x + 6*x to the form n*x**2 + j*x**3 + h + t*x and give n. 0 Rearrange (s**2 + 3*s**2 - 2*s**2)*(-s - 65 - s + 68) to the form p + r*s + q*s**2 + v*s**3 and give v. -4 Rearrange -25*l + 25*l - l**2 + 0 + 2 + 0 - l**2 + (5*l + 0*l - 3*l)*(2*l - 3*l + 0*l) + l**2 - l**2 - 2*l**2 to the form x*l + k*l**2 + n and give k. -6 Rearrange (b**2 - b**2 + 2*b**2)*(-4 + 4 + 2) + (b**2 + b - b)*(-4 + 7 - 2) to k*b**2 + h + g*b and give k. 5 Express (-17*s**2 - 27*s**2 - 31*s**2)*(s + 3*s + s) as i*s + x + j*s**3 + y*s**2 and give y. 0 Express 9*y**2 + 4*y**2 - 5*y**2 + (3*y - y + 0*y)*(y - 2*y - 2*y) in the form l*y + s + r*y**2 and give r. 2 Express (0 + 2 + 6)*(2 - 15 + 7)*(g + 2*g + 2*g) as y*g + z and give y. -240 Rearrange -3*h**4 - h**3 + 3*h**2 + 2*h - 3*h**4 + 5*h**4 to the form x*h**3 + f*h**2 + z*h**4 + d*h + u and give f. 3 Express 0*n - 3*n - n - 4*n in the form t + c*n and give c. -8 Express 0*n + 13*n - n - 4*n as z + m*n and give m. 8 Express (-4 + 2 + 0)*(9*l + 10*l - 7*l) - 2 - 5*l + 2 - 2 in the form z + m*l and give z. -2 Express -c + 2*c - 3*c + (-1 - 2 + 1)*(-5*c + 4*c + 3*c) + (1 + 0 + 2)*(-29 - 8*c + 29) as s*c + n and give s. -30 Rearrange (5 - 4 + 3)*(-4*k - 13*k + 6*k) to n*k + z and give n. -44 Express -9*h + 8*h - 6*h - 12*h as n + i*h and give i. -19 Rearrange 2 + 2 - a**2 - 10*a**3 + a**4 + a - 3 + 4*a**3 to h + v*a**4 + g*a**2 + u*a**3 + l*a and give u. -6 Rearrange -5*x + 11 + 7 - 18 + 5*x**3 to q*x + v*x**3 + z*x**2 + g and give v. 5 Express 3*q**3 - 2*q - 14*q**3 + 8*q**4 - 6*q**4 - q**3 as h + g*q**3 + f*q + r*q**4 + j*q**2 and give f. -2 Rearrange (2 - 11 + 0)*(2*j**2 - 2*j**4 - 2*j**2) to the form i*j**4 + c*j**3 + d*j + h*j**2 + o and give h. 0 Rearrange m + 0*m + m + (-2 + 0 + 0)*(m - m + 2*m) - m + 0 + 0 - 6*m + 6*m + 5*m to p + h*m and give p. 0 Express -29*i + 83 - 83 in the form j*i + f and give f. 0 Rearrange -3*a**2 + 0*a**2 + 15 + 2*a**2 + 2*a**2 to m*a + v + f*a**2 and give v. 15 Rearrange 12 - 29 + 17 + 2*l + 3*l**3 to the form u*l + x*l**3 + a*l**2 + s and give x. 3 Rearrange (1 + 2 - 2)*(z**2 + 0 + 0) + (0*z**2 + 0*z**2 - 2*z**2)*(2 - 1 - 4) to the form y*z**2 + g*z + o and give y. 7 Express 8*s + 1 - 1 + 16*s + 2*s**3 as w + n*s**2 + h*s + z*s**3 and give h. 24 Rearrange ((-j - 3*j + 2*j)*(-3 - 1 + 1) + 0*j - 2*j + j - j + j - j)*(-j**2 + 5 - 5) to the form k*j**2 + i + r*j**3 + n*j and give r. -4 Rearrange 5*w + 0 - 13*w - 2*w**3 - 1 + 24*w to the form p + u*w**3 + z*w**2 + k*w and give k. 16 Express ((-3 + 5 - 3)*(2 - 3 + 2) + 2 - 2 - 2 - 1 + 3 - 3 + (2 + 0 + 0)*(3 + 0 - 2))*(-2*q + 2*q + 3*q) as x + g*q and give g. -6 Rearrange 0 + 3*k**2 + 5 - 2*k**2 to x + i*k**2 + l*k and give x. 5 Rearrange -7*b**2 - 42*b**3 - 3 + 22*b**3 + 23*b**3 to the form c + w*b**2 + y*b + u*b**3 and give y. 0 Express (4 - 1 - 1)*(-14*z**2 + 8*z**2 + 8*z**2) as n + c*z + l*z**2 and give n. 0 Rearrange -19 - 3*s**2 - s**2 - s**3 + 15 + s**2 to the form q*s + t + o*s**2 + b*s**3 and give o. -3 Express -2*y**2 - 6*y**2 - 2*y**2 + (0*y + 0*y + 4*y)*(0*y + 4*y - y) in the form x*y**2 + b*y + r and give x. 2 Rearrange (-4*l + 1 - 3*l + 3*l)*(-l**2 + 6 - 6) to the form j*l**2 + v*l + s*l**3 + z and give j. -1 Express ((-3*q + q + 4*q)*(-2*q - 2 + 2) - 3 + 3 + q**2 - q + q + 4*q**2)*(0 - 2 - 3) as y + f*q + j*q**2 and give j. -5 Express -g - 5 + 5 + (-g + 0*g + 0*g)*(-7 + 4 + 4) + g + 0*g + 0*g as f + q*g and give q. -1 Rearrange -7 + 2*d**3 - 1871*d**2 - d + 1871*d**2 to h*d + g*d**2 + a*d**3 + m and give a. 2 Rearrange -4 - 19*q + 6*q + 1 - q**2 + 6*q to the form p*q + b*q**2 + t and give t. -3 Express (4*l - 5*l - 2*l)*(2 - 4 - 7) as b + t*l and give t. 27 Rearrange (0 + 1 + 1)*(4 + 25*b**2 + 22*b**2 - 20*b**2) + 2*b - b**2 - 2*b to y + m*b + s*b**2 and give y. 8 Express (3 - 3 - 2)*(5*j - j - 5*j) - 3*j - j + j in the form v + p*j and give p. -1 Express (15*a**2 - 5*a**3 + 2*a**3 + 2*a**3)*(-1 + 1 - 4) as u*a**2 + p + l*a + m*a**3 and give u. -60 Express (0*s - s + 0*s)*((0 + 2 + 0)*(2 - 2 + 2) + 1005 - 2521 + 1095)*(s - s + s**2) in the form x*s + l + i*s**2 + q*s**3 and give q. 417 Rearrange -4*k - 20*k - 7*k to the form l*k + f and give l. -31 Rearrange -21*t - 4 + 6*t + 4 to r*t + h and give r. -15 Rearrange (-2*a + 4*a + 14 + 4)*(0 + 2 + 0*a**2 - a**2) to g*a**2 + q*a + b + v*a**3 and give g. -18 Express (3 - 3 + s**2)*(-5*s + 4*s + 0*s) - 18*s**3 + 127*s - 127*s + (-2*s + 2 - 2)*(s**2 - 3*s + 3*s) as i*s**2 + z + p*s + v*s**3 and give v. -21 Rearrange (0 - 2*t**2 + 0)*(0*t + 0*t - t**2 + (1 - 2 + 3)*(7*t - 7*t + 29*t**2)) to j*t**2 + r + w*t**3 + g*t + p*t**4 and give p. -114 Rearrange (-5*g - 8*g - 2*g + 5*g - 3*g + 0*g + (-2*g + g - g)*(0 - 1 + 0))*(3 + 1 - 3) to w + d*g and give d. -11 Express -1 - 3*o**4 + 4*o**3 + 2*o + o**4 + 2 as x*o**4 + g*o**3 + b*o**2 + p + d*o and give d. 2 Express 1 - 15*b - b**2 + 3*b**3 - 3*b**3 + 16*b - 9*b**3 in the form t*b**2 + v*b + r*b**3 + m and give t. -1 Rearrange -67*b - 67*b + 46*b**2 + 134*b to q*b**2 + g + j*b and give q. 46 Rearrange (4*j - 3*j - 2*j)*(-2 - 1 + 1)*(2 + 22 - 1)*(-3*j + 0*j + j) to the form v + y*j + k*j**2 and give k. -92 Rearrange 5*x**2 + 2*x + 0 + 0 - 6*x**2 - x**3 to the form b + g*x**3 + z*x**2 + v*x and give v. 2 Express -4*r**4 + 2*r**3 + 2*r**4 + 6*r**4 - r**2 - r - 2*r**4 in the form i*r**3 + h*r**4 + p + t*r**2 + g*r and give t. -1 Express (-3*i**2 + i**2 + 4*i**2)*(-i - 3*i + 3*i) - 21*i**3 + 6*i - 6*i in the form a + m*i**3 + j*i + b*i**2 and give m. -23 Express (-3*d - 2*d + 3*d)*(-1 + 0 - 2) - d + 0*d - d as i*d + m and give i. 4 Rearrange (82*t**4 - 44*t**4 - 45*t**4)*(1 - 2 - 1) to q*t**3 + k + d*t + w*t**2 + c*t**4 and give c. 14 Rearrange 44*a - 39*a + 60*a to the form w*a + h and give w. 65 Express 13*j - 26 + 13 + 13 in the form g + d*j and give g. 0 Rearrange 5*v**3 + 4*v**3 + 1 - 9*v**3 - v**4 - v to the form n*v**3 + s*v**2 + j*v**4 + p*v + i and give p. -1 Express -5*x - 8*x + 4*x as l + b*x and give b. -9 Express x**2 + 2 + 14*x**4 - 2*x**3 - x + 3*x - 4*x**4 - 12*x**4 as u + i*x + g*x**2 + o*x**4 + l*x**3 and give o. -2 Rearrange (2*s**3 - s**2 + s**2)*(155*s - 74*s + 98*s) to the form b*s + p*s**4 + t*s**2 + l + i*s**3 and give p. 358 Express 1 - 1 - 1 - 15*s + (1 + 2 - 1)*(0 + 0 - s) as z*s + i and give i. -1 Express r**3 + 9*r + 3*r - 20*r - 2*r**2 as w + h*r**2 + n*r + b*r**3 and give b. 1 Rearrange (-x - 1 + 1)*(38 - 38 + 42*x**3) to c*x**2 + d*x + u + m*x**3 + t*x**4 and give d. 0 Express (3*h + h - 3*h)*(2*h - 4 + 4)*(2 - 2 - 2*h**2) in the form a*h**4 + w*h**2 + q*h + s + b*h**3 and give a. -4 Express -1 + 2*z**2 - z**4 - 2*z**2 + 0 - z - 4*z**3 in the form v*z**4 + m*z + t + r*z**3 + j*z**2 and give v. -1 Rearrange -3*n**3 + 0*n**3 + 3*n + 3*n to the form u*n**3 + h*n + f + a*n**2 and give u. -3 Express 43*h**3 - 3*h**4 - 45*h**3 - h**2 + 8 - 4 in the form j + z*h + g*h**2 + k*h**3 + s*h**4 and give s. -3 Express ((-2 - 1 + 1)*(-3 + 4 - 2) - 3 + 2 + 0)*(11958*x**2 + 8*x - 11958*x**2 + x**3) in the form g + l*x + o*x**2 + f*x**3 and give l. 8 Express -16*v + 2*v - 4*v as o*v + z and give o. -18 Express 2*d**2 - 2*d**3 - d**4 + 2*d**2 - 5*d**2 in the form u*d**2 + m*d**3 + c*d**4 + i*d + l and give c. -1 Rearrange -2*u**4 - u**4 - 2*u**3 - 19*u**2 + 1 - u + 5*u**2 + 12*u**2 to v*u**3 + o*u**2 + m*u**4 + y*u + q and give o. -2 Express 24*k + 11 - 23 + 10 + 2*k + 4 - 4 - 2*k + 0*k + 4*k + (5*k - 2*k - k)*(-1 - 3 + 5) + 0*k + 0*k + k + k + 0*k + k as x + j*k and give x. -2 Rearrange 33*h**2 + 18*h**2 - 112*h**2 to the form d*h**2 + p*h + a and give d. -61 Rearrange -10 - 7 + 0*v - 6*v + 8*v to x*v + y and give y. -17 Rearrange -4*w**2 - 34 + 16 + 0*w**2 + 22 to i + l*w**2 + u*w and give l. -4 Rearrange (-1 + 4 - 2)*(4*j - 4*j + 8*j) - 3 + j + 3 + (0*j + 2*j - 6*j)*(-2 + 4 + 0) to the form k + p*j and give p. 1 Rearrange (17*l**2 + 15 - 15)*(-l - 5*l + 4*l) + l**3 + 3*l**3 - 3*l**3 to the form c*l**3 + u + g*l**2 + r*l and give c. -33 Rearrange 24*h**2 + 2 + 2*h**3 - 22*h**2 + 0*h**3 - h**4 to u*h**4 + b*h + g*h**3 + o + y*h**2 and give u. -1 Rearrange -3 + 4 - 16*p**2 + p**4 - 2*p + 4*p to t*p**4 + l + j*p**3 + i*p + r*p**2 and give l. 1 Express -9*v**2 - 1 + 5*v**2 + v**2 as y + n*v + c*v**2 and give c. -3 Rearrange (2*c - 7*c
{ "pile_set_name": "DM Mathematics" }
59*c + 2767*c - 11093*c. -41*c Collect the terms in -2*l + 8747001*l**2 - 663*l**3 - 4373502*l**2 - 4373499*l**2. -663*l**3 - 2*l Collect the terms in 139761 + 11*s + 139746 + 139766 - 419273. 11*s Collect the terms in 11*u - 12*u + 5*u + 3*u - 18 - 4*u**2 + 14. -4*u**2 + 7*u - 4 Collect the terms in -4970028*p**3 - 4969983*p**3 - 6*p**2 + 5*p**2 + p**2 + 9940006*p**3. -5*p**3 Collect the terms in 7*q + 2*q - 16*q + 7*q + 2372462*q**3 - 2372444*q**3. 18*q**3 Collect the terms in 20 - 513*c - 523*c + 21 - 516*c - 59 + 22 + 1557*c. 5*c + 4 Collect the terms in 4 - 11 - 6*y**3 + 55*y**3 - 46*y**3 + 7. 3*y**3 Collect the terms in 1555847*t + 5 - 4 - 1555849*t. -2*t + 1 Collect the terms in 7*n**2 - 81*n - 5*n**2 + 2582 + 81*n - 159. 2*n**2 + 2423 Collect the terms in 337*f - 2*f**2 - 213 + 365*f + 120 + 93 - 701*f. -2*f**2 + f Collect the terms in 2398*r - 135733*r**3 - 2398*r + 135534*r**3. -199*r**3 Collect the terms in -4*x**2 + 4*x**2 + 193*x - 193*x + 349*x**3. 349*x**3 Collect the terms in 1342948*l - 1342958*l + 4 - 4. -10*l Collect the terms in 744214*t + 744220*t - 1488414*t. 20*t Collect the terms in -13*d + 110 - 49 - 39 - 37 + 14*d. d - 15 Collect the terms in -3 + 6059*u + 3 + 65841*u. 71900*u Collect the terms in 33*q**3 + q - q - 17*q**2 + 2 - 64*q**2 + 18*q**2. 33*q**3 - 63*q**2 + 2 Collect the terms in -46247*x**2 - 52365*x**2 + 98615*x**2. 3*x**2 Collect the terms in -829*d**3 + 255*d**3 - 270*d - 274*d - 570*d**3 + 544*d - 3*d**2. -1144*d**3 - 3*d**2 Collect the terms in -234 + 2707*u + 467 - 15*u + 256*u - 232. 2948*u + 1 Collect the terms in 15700*a - 7843*a - 7857*a - 9794*a**2. -9794*a**2 Collect the terms in 370286*w - 1112600*w + 370291*w + 371997*w. -26*w Collect the terms in -59*j + 127*j - 68*j + 10928*j**2. 10928*j**2 Collect the terms in -42272468*b + 21136290*b + 21136174*b. -4*b Collect the terms in 9 - 12 + 4 + 988*x**3 - 11 + 10. 988*x**3 Collect the terms in -499*m**2 + 42*m**2 - 645*m + 1093*m - 449*m. -457*m**2 - m Collect the terms in -17*o - 151*o**2 - 43*o**2 + 48*o**2. -146*o**2 - 17*o Collect the terms in -17062126 + 7679*g + 17062126. 7679*g Collect the terms in 50*l**2 + 165893 + 165858 - 331751. 50*l**2 Collect the terms in 14*t - 5*t - 5*t + 15662 - 18659. 4*t - 2997 Collect the terms in -15*x - 17 + 5555*x + 2777*x + 5155*x. 13472*x - 17 Collect the terms in -92*p - 4*p**2 - 118*p + 307*p + 7*p**2 - 112*p. 3*p**2 - 15*p Collect the terms in 1178*m + 144 + 147 + 137 - 570 + 142. 1178*m Collect the terms in -106*i**3 - 218*i**3 - 340*i**3 - 212*i**3 + 881*i**3. 5*i**3 Collect the terms in 40*j + 652 - 22*j + 4*j**3 - 18*j - 736. 4*j**3 - 84 Collect the terms in -65*p + 118 + 101 - 219 + 162*p. 97*p Collect the terms in 273*j + 280*j + 338*j - 897*j. -6*j Collect the terms in -1831218*r + 3889258*r - 3877924*r - 11465714*r. -13285598*r Collect the terms in -2*h + 196 + 4*h**3 - 103 - 95 - 2253*h**2. 4*h**3 - 2253*h**2 - 2*h - 2 Collect the terms in -130*j**3 + 1040306*j**2 - 1040306*j**2. -130*j**3 Collect the terms in 500*s + 295*s**2 + 52*s**2 + 88*s**2. 435*s**2 + 500*s Collect the terms in -8981*p**3 - 144865*p**3 - 127987*p**3. -281833*p**3 Collect the terms in 25*u - 14484*u**3 - 9*u - 16*u - 6541*u**3. -21025*u**3 Collect the terms in -7834 + 2011 + 2*s**3 + 5823. 2*s**3 Collect the terms in 4167*v + 143*v - 1940*v + 31339*v. 33709*v Collect the terms in -88333 + 17*h**2 + 0*h**2 + h**2 + 17*h**2 - 24*h**2 + 88335. 11*h**2 + 2 Collect the terms in -41*v - 13*v - 5 + 140*v - 48*v. 38*v - 5 Collect the terms in -29*h + 50 - 39*h - 44*h + 534 + 117*h. 5*h + 584 Collect the terms in 7*p**2 + 8*p**2 + 19901*p - 23 - 13*p**2. 2*p**2 + 19901*p - 23 Collect the terms in -11 - 1472*r**2 + 4430*r**2 - 1466*r**2 + 11 - 1476*r**2. 16*r**2 Collect the terms in 29*x**3 - 233 + 4*x**2 - 285 - 151*x**3 + 518. -122*x**3 + 4*x**2 Collect the terms in 4*a + 4 + 300*a + 5*a - a**2 - 4. -a**2 + 309*a Collect the terms in 29*l + 29*l - 48*l**3 - 58*l - 62*l**3 + 213*l**3 - 52*l**3 - 52*l**3. -l**3 Collect the terms in -6 - 725*b + 362*b + 363*b - 1 + 20*b**3. 20*b**3 - 7 Collect the terms in 2 - 2 + 1182*k**2 - 1089*k**2. 93*k**2 Collect the terms in i**2 + 284 + 6*i - 5*i - 89 - 185 - 276. i**2 + i - 266 Collect the terms in -676876 - 55*k**2 + 28*k**2 - 3*k + 676876 + 30*k**2. 3*k**2 - 3*k Collect the terms in -225797 + 112901 + 112896 - 5*u. -5*u Collect the terms in 244*r**2 - 1308*r**2 - 500*r**2 - 2807*r**2 - 313*r**2. -4684*r**2 Collect the terms in -264*c**3 + 882*c**3 + 895*c**3 - 1505*c**3. 8*c**3 Collect the terms in 41*a + 2078 + 38*a + 32*a - 114*a. -3*a + 2078 Collect the terms in -5492*y**2 + 6*y**3 + 1850*y**2 - 18*y**3 + 1822*y**2 + 8*y**3 + 1820*y**2. -4*y**3 Collect the terms in 95 + 1008*n**2 - 195 + 100 + 912*n**2. 1920*n**2 Collect the terms in -21540*d**2 - 110 + d + 110. -21540*d**2 + d Collect the terms in 2314767 - 771588 - 771594 - 771594 + 22*b**2. 22*b**2 - 9 Collect the terms in 826*n + 347*n - 37 - 40 - 56*n. 1117*n - 77 Collect the terms in 39525 - 79053 + 1568*s**2 + 39528. 1568*s**2 Collect the terms in -477*f + 235*f + 240*f - 59*f**2 - 116*f**2. -175*f**2 - 2*f Collect the terms in -18966 + 6323 + 3522*f + 6319 + 6324. 3522*f Collect the terms in -191339916759 + 191339916759 - 90*q. -90*q Collect the terms in -169*y**3 + 356*y**3 + 21669*y**2 + 209*y**3 - 21669*y**2. 396*y**3 Collect the terms in -2638*a + 8131*a - 3508*a - 3021*a. -1036*a Collect the terms in 3*g**3 + 95284893012004 - 95284893012004. 3*g**3 Collect the terms in 406 + 1399387612*x - 110 - 1399387611*x. x + 296 Collect the terms in -234608269 - 10*t + 469216540 - 234608271. -10*t Collect the terms in 3987*v + 52214*v**2 - 1992*v - 1993*v. 52214*v**2 + 2*v Collect the terms in -289587*n + 18 - 9 - 9. -289587*n Collect the terms in 511 + 614 - 3*a - 286 + 637 - 174. -3*a + 1302 Collect the terms in 0*j - j - 85657*j**2 + j + 85722*j**2. 65*j**2 Collect the terms in -7 + 9 + 245463*q - 245702*q. -239*q + 2 Collect the terms in 18 + 55 - 2*t**2 + 3*t**2 - 53 + 109. t**2 + 129 Collect the terms in 27 + 28 + 36 + 28 - 116 + 2*q + 4*q. 6*q + 3 Collect the terms in 132*i**3 - 10694 + 5325 - 298*i**3 + 5369. -166*i**3 Collect the terms in 2 + 23 + 1885*c**3 + 1 - 26. 1885*c**3 Collect the terms in 85*o**2 + 5*o + 22 + 0*o - 70 - 13*o + 4*o. 85*o**2 - 4*o - 48 Collect the terms in -5337*r**3 + 1480*r**3 - 2185*r**3. -6042*r**3 Collect the terms in 2661832*g - 3*g**2 - 1330525*g - 1331307*g. -3*g**2 Collect the terms in -51*a - 141*a - 45*a**2 + 49 + 61*a**2. 16*a**2 - 192*a + 49 Collect the terms in 310*u + 1 + 5*u**3 - 2578*u + 1343*u - 2806*u. 5*u**3 - 3731*u + 1 Collect the terms in 83*b + 16920 - 5587 - 5673 - 5660. 83*b Collect the terms in -10*a - 16*a + 6*a + 5747 - 2*a - 5771. -22*a - 24 Collect the terms in -32544049780*g + 3*g**2 + 16272024888*g + 3*g**2 + 16272024892*g. 6*g**2 Collect the terms in 406*g**2 - 102*g**2 - 272*g**2. 32*g**2 Collect the terms in -84913*o**2 - 84780*o**2 + 169694*o**2. o**2 Collect the terms in 8*g**2 - 7161475731*g + 7161475731*g. 8*g**2 Collect the terms in -414889572*m + 2 - 2 + 414890760*m. 1188*m Collect the terms in -363*h - 2131*h - 577*h + 1053*h. -2018*h Collect the terms in 188*c**2 - 310*c**2 - 789*c**2 + 910*c**2. -c**2 Collect the terms in -101*s + 117*s + 236 + 68*s. 84*s + 236 Collect the terms in 7401*h - 775*h - 6415*h. 211*h Collect the terms in 967*a**2 + 946*a**2 + 955*a**2 + 931*a**2 - 3778*a**2. 21*a**2 Collect the terms in 8*l + 5*l - 2639*l**2 + 10*l - 48*l + 25*l. -2639*l**2 Collect the terms in 30*z**3 + 84*z**3 - 205*z**3 + 58*z**3 + 35*z**3 - 6. 2*z**3 - 6 Collect the terms in 2002*h**3 - 25*h**2 + 8910*h**3 + 25*h**2. 10912*h**3 Collect the terms in -166857*f - 166832*f - 166857*f + 500550*f. 4*f Collect the terms in -105*s + 169*s - 107*s + 3*s**2 + 14. 3*s**2 - 43*s + 14 Collect the terms in 4*q**3 + 4450936674872 - 4450936674872. 4*q**3 Collect the terms in -10*c + 10*c + 0*c - 10295188*c**2. -10295188*c**2 Collect the terms in 9 - 21 + 5 - 7236*j + 7. -7236*j Collect the terms in 34*r - 9890 + 29*r - 61*r. 2*r - 9890 Collect the terms in -u**2 + 6*u**2 - 967538*u + 967538*u - 5*u**2 + 2*u**2. 2*u**2 Collect the terms in -45*b - 15*b**3 - 5*b**3 - 9 + 1
{ "pile_set_name": "DM Mathematics" }
0*o - 2*o + (2*o - 2*o - o)*(-1 - 5 - 4))*(-1 - 2*o**3 + 1). -18*o**4 Expand (-4*f + 0*f + f + (-2 - 4 + 4)*(1 - 1 + 2*f))*(0 - 3*f + 0). 21*f**2 Expand (-2 + 3 + 12)*(0 - 3 + 1)*(-6*w**3 + 5*w**3 - w**3). 52*w**3 Expand (5*r - 4*r - 2*r)*(-4*r + 0*r + 6*r) - 2*r + 2*r - r**2. -3*r**2 Expand (-2*w + 2*w + 2*w**2)*(2*w - 3*w + 3*w) + 5*w**3 - 6*w**3 - 8*w**3. -5*w**3 Expand (2 - 2 - 2*m)*(-3 + 3 - m)*(-3 + 4 + 0). 2*m**2 Expand 41*q**2 + 45*q**2 - 94*q**2 + (6*q - 2*q - 3*q)*(-3*q + 0*q + 5*q) - q**2 - q**2 + 4*q**2. -4*q**2 Expand (2*x + 1 - 1)*(x + 1 - 1 + (2*x - 6*x + 2*x)*(0 + 1 - 3) - x + 3*x - 4*x + 2*x - x + 5*x). 18*x**2 Expand (0*w + 2*w - 11*w)*(3 - 2 - 2). 9*w Expand -2*q + 5 - 5 - q - q - q + 2 - 2 - q + (-q + q - q)*(-1 + 4 - 1) + 6*q + 2*q - 4*q. -4*q Expand ((u + 0 + 0)*(-5 + 3 + 5) + (4 - 2 + 0)*(2*u - 2 + 2) + 0*u + u - 2*u)*(4*u**4 - 3*u**4 + 0*u**4). 6*u**5 Expand (0*s + 6*s - 3*s)*(10*s**4 + 18 - 18) + 2*s**5 + 0*s + 0*s + (s**4 + 2*s**2 - 2*s**2)*(-2*s + s + 2*s) + 5*s**5 - 6*s**5 - s**5. 31*s**5 Expand (h + 0 + 0)*(-h**2 + 15*h - 32*h + 12*h). -h**3 - 5*h**2 Expand (0*m - 2*m**3 + 0*m)*(-2867 + 2867 - 94*m). 188*m**4 Expand 1 - 7*u + 1 + 2*u + (-2*u + u + 2*u)*(1 - 1 + 4). -u + 2 Expand (4*z + 11*z - z)*(-2*z - 2*z + 6*z). 28*z**2 Expand (-2*l**4 + 2*l**4 - 4*l**4)*(-2 + 2*l + 4*l - 3*l)*(-5 - 2 + 5). 24*l**5 - 16*l**4 Expand (l + l - 3*l)*(2*l - 6*l - 8*l). 12*l**2 Expand (-2*s**2 - 2*s**2 + 5*s**2 + (-2*s - 2*s + 5*s)*(-s - s + 4*s) - 3*s**2 + 2*s**2 - 3*s**2)*(5*s**2 - 14*s**2 + 4*s**2). 5*s**4 Expand (-3*w + 2*w - w)*(-3*w**4 - 21*w**3 + 36*w**3 + 9*w**3). 6*w**5 - 48*w**4 Expand (-2 + 4 - 1)*(0*f + 0*f - 2*f + (4*f + 0*f - 2*f)*(4 + 0 - 1))*(-4 + 2 + 1). -4*f Expand (0 - v**3 + 0)*((3*v + 2*v - 4*v)*(0*v + v + v) + 42 - 42 - 6*v**2). 4*v**5 Expand 2*g + 3*g**4 - 2*g + (-2*g**3 - g**4 + 2*g**3)*(-5 + 4 - 1). 5*g**4 Expand (-5*f**2 + 4*f**2 - f**2 + (-3*f + f + f)*(-2*f + f - f) + 0*f**2 + 3*f**2 + 0*f**2)*(3*f - f + 0*f)*(-2*f + 4*f**2 + 2*f). 24*f**5 Expand y + y**3 - y + (0*y**2 + 2*y**2 - 4*y**2)*(y + 0*y + 2*y) - 4*y**3 + 3*y**3 - 2*y**3 + (2*y**2 - y**2 - 3*y**2)*(0 + 2*y + 0). -12*y**3 Expand (-2*h**2 + 2*h**2 - 3*h**2)*(2*h + 0*h - h) + (-h + h + h)*(3*h**2 + 2*h**2 - 3*h**2) + 2*h**2 - 2*h**2 - h**3. -2*h**3 Expand ((-4 + c**2 + 4)*(5 - 2 - 5) + 0*c**2 + c**2 - 5*c**2)*(4*c**2 - 6*c**2 - c**2). 18*c**4 Expand (18 - 18 - 4*i)*(3*i**2 - 3 + 3) - 4 - 2*i**3 + 4. -14*i**3 Expand o + o - o + (-2*o + 3*o - 3*o)*(-3 + 2 + 3) + 0 + 2*o + 0 + (0*o + o + 0*o)*(1 + 0 + 2). 2*o Expand (1 - 2 - 1 - 4 - 3 + 6 + (0 + 5 - 3)*(-5 + 2 + 2))*(-6*t**5 + 2*t**5 + t**5). 15*t**5 Expand (-2 + 2 - 2)*(0*n + n + 2*n). -6*n Expand (20 - 20 + 8*u - 2*u - 4 + 4 + (2*u + u - 2*u)*(3 + 1 - 6) + 2*u - 4*u + 0*u + u + 3 - 3)*(-u - 3 + 3). -3*u**2 Expand (14*k + 172 - 172)*(-4*k**2 + 2*k**2 + 3*k**2). 14*k**3 Expand (5*k**2 + 0*k**2 - 3*k**2)*(2*k**2 + 0*k + 0*k) + k - k**4 - k + 8*k - 7*k**4 - 8*k. -4*k**4 Expand (2*a + 0*a - a)*(-a**4 + 0*a**4 + 2*a**4) - 33*a**3 + 38*a**5 + 33*a**3. 39*a**5 Expand ((-3 + 3 + t)*(1 - 1 + 2) + 1 - 1 + 2*t)*(-2*t**2 - t + 2*t**2 + t**3). 4*t**4 - 4*t**2 Expand -4*p**2 - 3*p + 3*p + (p**2 + 7*p**2 - 5*p**2)*(-6 + 3 - 1). -16*p**2 Expand (-4 + 4 - 3 + (1 + 2 - 1)*(3 - 2 + 1) + 0 + 5 - 4 + 0 + 1 + 2)*(2*v + 0*v - v). 5*v Expand (-5 + 5 - 2*r)*(-2 + 2 - 2) + (-1 + 2 - 2)*(5*r + 1 - 1) + (-2 + 1 + 2)*(-1 + 2*r + 1). r Expand (0 + 1 + 1 - 3 + 4 - 3 + (-1 - 1 + 0)*(1 + 1 - 3) - 1 + 4 - 6)*(-2*f + 0 + 0 + (2 + f - 2)*(3 - 3 + 1)). f Expand -78*i**4 - 42*i**4 + 92*i**4 - i**2 - 2*i**4 + i**2 + (2*i**2 + 0 + 0)*(0 + 0 - i**2) + i**2 - i**2 + i**4. -31*i**4 Expand (3 - 14 + 8)*(4*x**4 + x**4 - 3*x**4). -6*x**4 Expand 3*f**2 + 0*f**2 - 2*f**2 + (f - 3*f + 3*f)*(-3*f + 8*f + 2*f). 8*f**2 Expand (3*m**3 + 9 - 9)*(0*m - 7*m + m). -18*m**4 Expand (0 - 6 + 4)*((3 - 2 + 0)*(0*w - 2*w**2 + 0*w) + (0 - 3 + 2)*(-3*w**2 + 0*w**2 + 0*w**2)). -2*w**2 Expand (3*z + 2*z - z)*(-5*z - 2*z + 4*z) + (2 + z - 2)*(-3*z + 5*z + 0*z) - 2*z**2 + z**2 + 2*z**2. -9*z**2 Expand (-2 + 2 + 2)*(-l - 15*l + 0*l)*(3*l**2 - 3*l**2 - 2*l**3). 64*l**4 Expand 34*u**5 - 77*u**5 + 116*u**5 + (-2 + 2*u + 2)*(3*u**4 - 2*u**4 + u**4). 77*u**5 Expand (-2*f + 3 - 1 - 1)*(2 + 4*f**3 - 2). -8*f**4 + 4*f**3 Expand (c - c - 5*c**2)*(0 + 0 + 1)*(2*c + 4*c - 2*c). -20*c**3 Expand (2 - 4 + 4)*(6*u - 2*u - 2*u) + u - 5*u + 24*u + 2 + u - 2 + (0 + 3 - 5)*(2*u - 3*u + 0*u). 27*u Expand 2*m**4 - m + m + 2*m**4 + 2*m - 2*m + (3 + 2*m**3 - 3)*(2*m + 0*m + 0*m) + 2*m**4 + m**4 - 4*m**4 + (4*m**3 - m**3 - 2*m**3)*(-4*m + 3*m + 0*m). 6*m**4 Expand -5*j**2 + 4 - 4 + (-3*j - 3*j + 5*j)*(-4*j + 2*j + j) - 2*j**2 + 4*j**2 + 3*j**2. j**2 Expand (r**3 + 0*r**3 - 2*r**3)*(4*r - 3*r + r) + 0*r**4 + 0*r**4 - r**4 + (2*r - 2*r + r**2)*(2*r**2 - 3*r**2 + 3*r**2). -r**4 Expand (-2 + 4 + 0)*(-2*z + 0*z + z) + (1 - 1 - 6)*(-z + 6*z - 2*z). -20*z Expand 2*l**2 - 2*l**2 - 2*l**4 + (-1 + 1 - 2*l)*(3*l**3 - l**3 - 4*l**3) - 5*l + 0*l**4 - 2*l + 2*l**4. 4*l**4 - 7*l Expand ((-2*z**2 + 2*z**2 - 3*z**2)*(-2*z - 1 + 1) + 2*z**3 - 1 + 1 + z**3 - 2*z**3 + 3*z**3)*(z - 2 + 2). 10*z**4 Expand (-3 + 8*z + 2 + 0)*(2*z + z - z). 16*z**2 - 2*z Expand (-2*f + 2*f - f)*(3*f - 3*f - 2*f + (-2 - 2 + 3)*(4 - 4 - f))*(2*f - 3*f + 5*f). 4*f**3 Expand (-q**2 + q**2 + 8*q**2)*(2*q**2 + q - q). 16*q**4 Expand (-z - 2*z**3 + z)*(2 - 1 - 5) - z**3 - 2*z**3 + 4*z**3. 9*z**3 Expand (5*x + x - 3*x)*(2*x**3 - 3 - 23*x**2 + 23*x**2). 6*x**4 - 9*x Expand (3 + 0 - 7*x + 4*x)*(-2 + 3 + 0)*(x**2 + x**2 - x**2). -3*x**3 + 3*x**2 Expand (7*f + 22 - 22)*(3*f + 9 - 9)*(-2*f + 0*f + f). -21*f**3 Expand (-3*n + 2*n - 2 - 1)*((2 - 2*n - 2)*(-5*n**2 + 3*n**2 + 3*n**2) - 6*n**3 - 2*n**3 + 3*n**3). 7*n**4 + 21*n**3 Expand (3*b - 3*b - 3*b**3 + (b - b**2 - b)*(b - 2*b + 4*b))*(-2 + 0 + 4). -12*b**3 Expand -4*d**5 + 4*d**5 + d**5 - 3*d**5 + 0*d**5 + 2*d**5 + (-4*d**2 + 5*d**2 + d**2)*(d**3 + d**2 - d**2) + (0*d**4 + 4*d**4 - 3*d**4)*(8 - 18*d + 5*d - 5). -11*d**5 + 3*d**4 Expand (4*f**2 - 5*f**2 - f**2)*(4*f**2 - 5*f**2 + 2*f**2 + 0 + 0 + f**2 + (0*f + 2*f - f)*(f + f - f) + 2*f**2 - f**2 + f**2 - 1 - f**2 + 1 - f + f + f**2). -10*f**4 Expand -25*w**5 - w**4 - 39*w**5 - w**4 + (1 + 1 - 1)*(-3*w**5 + 4*w**5 - 3*w**5). -66*w**5 - 2*w**4 Expand (-5*u**3 + u**3 + 2*u**3)*(4*u + 3*u - 5*u) - u**4 + u**4 + u**4 - 2*u**4 + 2 - 2 + (-3*u**3 + 2*u**3 - u**3)*(2*u - 3*u + 2*u). -7*u**4 Expand (-x + 5*x - 3*x)*(-5*x**2 + 4*x**2 - x**2). -2*x**3 Expand (-2*j**2 + 2*j**2 - 3*j**2)*((-16 + 3 + 3)*(-2 + 0 + 3) - 1 - 1 + 0 + (0 - 2 + 4)*(2 - 3 + 3)). 24*j**2 Expand -10*s**4 + s**4 - 5*s**4 + s**2 - s**2 + 2*s**4 + (2*s**2 + 0*s**2 + 0*s**2)*(-5*s**2 - 2*s**2 + 5*s**2). -16*s**4 Expand 3*t + 3*t**4 - 3*t + 4*t**4 + 0*t**4 - 3*t**4 + (-3*t**3 + 2*t**3 + 2*t**3)*(-2 + 2 + 2*t) + 6*t**4 - 13*t**4 - 27*t**4. -28*t**4 Expand -2*x**3 + 2*x**2 - 7*x**4 + 2*x**3 - 4*x**4 - 2*x**4 + 7*x**4 + (5*x**2 - 5*x**2 - 2*x**3)*(0*x + 5*x - 3*x). -10*x**4 + 2*x**2 Expand (-1 + 1 + 2)*(-3*h**5 + 2*h**5 + 4*h**5) + (2*h**3 + h**3 - 5*h**3)*(-h**2 - 4*h**2 + 4*h**2) + h**5 + 0*h**4 + 0*h**4. 9*h**5 Expand (-5 + 1 + 0)*(-m - 2*m + 0*m)*(-4 + 3 + 0). -12*m Expand (14 + 4*y**3 - 14 + 2*y**4)*(3*y + y - 5*y + (-y + 1 - 1)*(3 - 1 + 0) + 0 + 0 - 2*y). -10*y**5 - 20*y**4 Expand (-4 + 0 + 3)*(1 - 1 - g) - 4*g + 5*g - 5*g. -3*g Expand -3*y**3 + 7*y**3 - 7*y**3 + y - y + y**3 + (-2 + 4 - 3)*(5*y**3 + 0*y**3 - 3*y**3) + y**3 - 4*y**3 + 5*y**3. -2*y**3 Expand (3*n - 7*n + 2*n)*(-2 + 5 - 1) + n - 2*n + 2*n + n - 5*n + 2*n + (-3*n - 2*n + 3*n)*(2 + 4 - 5). -7*n Expand -10 + 10 + 3*b - 2*b - 1 + 1 + (1 - 6 + 3)*(-b + b - b) + 2*b - 4*b + 3*b. 4*b Expand 2 + 2*z**3 - 2 + (-5 - 3 + 4)*(z**3 - z**3 + 9*z**3). -34*z**3 Expand (v**3 + 66*v - 66*v + 6*v**2)*(-9*v**2 + 24 - 24). -9*v**5 - 54*v**4 Expand (-1 - 2 + 0)*(q - 1 - 9*q + 0). 24*q + 3 Expand (-3*w - 4*w + 1 + 3*w)*(-19 - 13 + 21). 44*w - 11 Expand (z - 2 + 2 - 2*z - 2 + 2 + (4 - 2 + 0)*(-2*z - 1 + 1))*(1 - 1 - 2*z**4). 10*z**5 Expand (a - a - 2*a**2)*(-3*a + 0*a + 7259*a**2 - 7260*a**2 + 25). 2*a**4 + 6*a**3 - 50*a**2 Expand (-5 - 3*h + 5)*(-2*h - 3 + 0*h + 6*h**2 + 4). -18*h**3 + 6*h**2 - 3*h Expand (0*l**2 + 0*l**2 - 2*l**3 + (-l**2 -
{ "pile_set_name": "DM Mathematics" }
. Let y = 31 - 28. Is (d/3)/(-1)*y prime? False Let f(u) = 3*u**2 + 3*u - 17 + 41 + u - 21. Let k(j) = -j**3 + 6*j**2 - 2*j + 4. Let b be k(6). Is f(b) prime? True Let k(a) = -160*a**3 + 2*a**2 - a - 2. Is k(-1) prime? False Let o(v) = v + 12. Let n be -1*(-2 - 0) + 7. Suppose -b + 0*b = -n. Is o(b) a composite number? True Let y = 54 - 28. Is y a prime number? False Let d(n) = -371*n**3 + n**2 + 2*n + 1. Is d(-1) prime? False Is 76/(-6)*(-27)/18 a prime number? True Let f = -240 + 385. Is f composite? True Is ((-67)/2)/(7/(-14)) composite? False Suppose 7525 = 3*v + 2*v. Suppose 0 = -a - 4*a + v. Is a a composite number? True Let z(y) = 15*y**2 - 8*y - 6. Is z(-5) composite? False Let k = 205 - 135. Suppose -z - 3*i = -k, -2*z - 4*i + 146 = -0*z. Is z composite? False Suppose -9*l = -505 - 746. Is l prime? True Suppose -2*b - 3*b + 3*i = -1006, 0 = -5*b - i + 1018. Is b composite? True Let j(s) = s**2 + 8*s + 7. Let o be j(-7). Let l(h) = h**3 + h**2 + 41. Let c be l(o). Suppose -29 = -2*n + c. Is n composite? True Let f(x) = -x**2 - 8*x - 4. Let s be f(-8). Is 2 - (-161 - s/2) a composite number? True Let h(z) = 2*z**2 - 2*z - 1. Let n be h(-2). Let r = -4 + n. Is r a composite number? False Suppose 4*p = -297 + 1717. Is p a composite number? True Suppose -2*x = -2*g - 580, -4*x + g = -0*x - 1169. Is x prime? True Suppose 5*p - 39825 = -0*p. Suppose 4*b - p - 2823 = 0. Is b/39 - 4/26 a prime number? False Suppose 3*z = 9 - 0. Suppose -3 + 42 = z*d + 2*t, 48 = 3*d - t. Is d prime? False Let r be (-9)/2*52/(-3). Let v = 127 - r. Is v composite? True Suppose 3*x + 429 = 3*y, -y + 6*y + x - 715 = 0. Is y composite? True Suppose -n = -27 - 6. Suppose -s = -4*s + n. Is s composite? False Let n(i) = -i + 4 - 4 + 3. Let o(v) = -v**3 + v**2 - 3*v + 2. Let b be o(2). Is n(b) composite? False Suppose 4*l - 12 = -0*l. Suppose -329 = -l*o + 244. Is o a composite number? False Let v(j) = -4*j**3 - 3*j**2 - 9*j - 8. Let r(d) = -d**3 + d**2 - d. Let g(z) = -5*r(z) + v(z). Is g(9) a prime number? True Let m = -1037 - -1590. Is m a prime number? False Let l be 9/15 - 2/(-5). Let s be 25 - 2/(l + 0). Let i = s - 16. Is i prime? True Suppose 6*h - 3*h - 5*m = -49, -5*m = -2*h - 36. Is (136/4)/((-2)/h) composite? True Is (2 - (-5)/(-2))*(2 - 2520) prime? True Let a(o) = 37*o - 2. Let n be a(5). Suppose 5*x = -l - n, -4*x - 2*l = -l + 146. Let v = 164 + x. Is v composite? False Let f be 2/4*0/1. Suppose f = 5*n - 154 - 191. Is n composite? True Let s = 39 - 72. Let q = 104 + -168. Let i = s - q. Is i a prime number? True Suppose -28 = -3*q - 19. Suppose -i + 44 = -g - 4*g, 0 = -q*i - g + 180. Is i a composite number? False Is (4/(-6))/(4/(-126)) prime? False Let i be ((-4)/(-10))/(2/1010). Suppose 2*s - 4*f - i = 0, 0 = 2*s - 5*s + 4*f + 297. Is s prime? False Suppose 0 = 4*p - 0*p + 44. Let a(y) = -5*y**2 - y + 12. Let c be a(-4). Let t = p - c. Is t a composite number? False Suppose -2*k + 2*m = 8, 4*m - 6*m + 13 = 3*k. Suppose 0 = o + k - 4. Is 165 + 0 - (o - 1) a prime number? True Let k = -13 + 15. Suppose -k*f + 57 = f. Is f prime? True Let q = 10 - 6. Suppose q*k = 5*m - m, 4*k + m + 5 = 0. Is k/1*-11*7 a prime number? False Let d(i) be the first derivative of 31*i**4/2 + i**3/3 - i**2 + i - 3. Is d(1) composite? True Is 1706/(16/6 - 2/3) a prime number? True Let b = -8963 + 18756. Is b a prime number? False Let s = 665 + -186. Is s composite? False Suppose 0 = -3*i + 592 + 1961. Is i composite? True Let d = -503 + 1248. Suppose 0 = -4*y + 9*y - d. Is y a composite number? False Let x(t) = -2*t**2 - 6*t - 6. Let y be x(-4). Let h = y - -21. Suppose -h*n + 60 = -3*n. Is n a composite number? True Let j be (-2)/(-8) - (-126)/(-24). Is -1 + (94 - (j + 3)) prime? False Suppose 0 = -5*d - 0*b - b - 1211, -3*d - 728 = 2*b. Let j = 355 + d. Suppose 0*h - h = -j. Is h composite? False Let d(n) = n**2 + n + 4. Let y be d(0). Suppose -3*o - y*z = -8*o + 170, -o = -2*z - 34. Suppose -u - 4*f + o = 1, -5*u - 2*f = -75. Is u a prime number? True Suppose 4*o = 2*o + 4. Suppose -4*m + 2*r = -158, 5 - 74 = -o*m - r. Is m composite? False Let b = -1 - -6. Suppose -2*z + 82 - 20 = -b*l, 3*l + 58 = 2*z. Is z composite? True Suppose 2*s + 0*o - 19 = 3*o, -3*o = 3*s + 9. Suppose 0 = 3*x + s*x - 310. Is x prime? False Let v = 2292 - 1577. Suppose 2*i = -w + v, 2*i - 560 - 130 = 4*w. Is i composite? True Suppose 0 = -4*f - 20, 3*n - 3*f - 40 - 2 = 0. Suppose 0 = 3*i - n, -x - 41 = -2*x - 2*i. Is x prime? False Suppose -2*q - 12 = q. Suppose 5*u - 19 - 11 = 0. Is u/q*38/(-3) prime? True Suppose 7*r + 5 = 2*r. Is (r - -240) + 1*-2 a composite number? True Suppose 0*k = k + 4*p - 271, -p + 1260 = 5*k. Is k composite? False Suppose -810 = -4*o + 3*n, 2*o + 7*n = 3*n + 416. Let m be ((-2)/(-6))/(4/o). Suppose 5*q = 132 - m. Is q composite? False Let z be (-1)/3 + 8/6. Let l(g) = -g**2 + g. Let m be l(z). Let j(d) = -d + 223. Is j(m) prime? True Let g(b) = 4*b**2 - 1. Let u(m) = -4*m + 3*m**2 - 2 + 2*m + 3*m. Let p(w) = 4*g(w) - 5*u(w). Is p(4) composite? False Suppose 4*n - 263 + 19 = 0. Is (2 - n)/(1/(-7)) a prime number? False Suppose q = -2*q + 6. Suppose 0*k - 31 = -4*v - 3*k, -q*v = -k - 3. Is v a prime number? False Suppose a + 27 = -9. Let x = a + 19. Let c = x + 66. Is c a prime number? False Let r = -6412 - -9093. Is r a composite number? True Suppose 0 = z + 5*k - 5, 2*z = k + 59 + 6. Let a = 2 - z. Let m = -15 - a. Is m a composite number? False Let b = 21 + -15. Let q(w) = w - 3. Let x be q(b). Let n(p) = 2*p**3 - 2*p**2 + 3*p - 2. Is n(x) composite? False Let t(r) = -r**3 - 7*r**2 + 2*r + 6. Let j be t(-7). Is (0 - (-4)/j)*-118 a prime number? True Let f(y) = y + 6. Let q be f(-6). Suppose -2*u = -3*s + 565, q = -s + 6*s + 3*u - 910. Is s a composite number? True Suppose 9*b = 55902 - 16959. Is b prime? True Suppose -4*y = f - 240, -2*f + 372 = 5*y + 69. Is y prime? True Let q be (2 - -2)*68/2. Let c = -23 + q. Suppose 0 = -4*s + 3*n + 489, -3*s = 3*n - 485 + c. Is s a prime number? False Suppose -4*c + 2*h + 3442 = -0*h, 4320 = 5*c + h. Is c a composite number? False Suppose -5*z - 4*f = -2208, z + f - 394 = 48. Suppose -5*d = 5*g - 585, 0*d + 3*d + z = 4*g. Is g a composite number? False Suppose 2*t + 2*n = 3*n + 674, -5*n - 1011 = -3*t. Is t a prime number? True Suppose 0*v + 6 = 2*v. Suppose -h - v*k - 124 = -664, h - 532 = -5*k. Let q = h + -329. Is q prime? True Let k be 1/((4 + -1)/3). Is k + 0 + 11*30 a prime number? True Let z = 678 - 385. Is z a prime number? True Suppose -9 = -3*w + p, 7*w - 2*w - 16 = 2*p. Let x = 8 - 5. Suppose w*n = -x*n + 475. Is n a composite number? True Let l(t) = -t**2 + 11*t - 7. Let w be l(10). Let j(s) = 27*s + 2. Let q be j(2). Suppose q = h + w. Is h composite? False Let f(l) = -l + 8. Let y(s) = -s + 8. Let p(w) = -5*f(w) + 6*y(w). Let t be p(4). Suppose -5*x + 943 = t*m, x + 5*m = 3*x - 397. Is x prime? True Let p be -3*(-2)/(-4)*-4. Suppose -8*b + 430 = -p*b. Is b a prime number? False Let f = 7713 - 4676. Is f a prime number? True Suppose 4*p + 3 = 7. Suppose 1 = g - 1. Is g + (p - -42) + 1 a composite number? True Suppose 0 = 2*b - 2*i + 142 - 428, -2*i - 580 = -4*b. Let o = 214 - b. Is o a prime number? True Let o(j) = -j**3 + 11*j**2 + 4*j + 7. Is o(11) a prime number? False Suppose 6*b + 4*b = 20690. Is b prime? True Let a = 596 - 91. Is a composite? True Let p(x) = 3*x**2 - 12*x - 8. Is p(9) composite? False Let d(u) = 2*u**2 - 10*u + 45. Is d(-11) prime? True Let f(m) = -7*m**3 + 3*m**2 - 2*m + 2. Let i be f(3). Let l = i - -253. Is l a prime number? False Let o(j) = -5 + 2 - 1 + 0 + 27*j. Is o(7) prime? False Is 11/((2/(-222))/((-5)/15)) a prime number? False Let k = -1 - -3. Let b(y) = -y**3 - y**2 + y + 65. Let c be b(0). Suppose 0 = s + u - 0*u - 60, c = s + k*u. Is s prime? False Let x be (-6)/(-3) - (0 + -1). Suppose -x*r = 2*o - 178, -o + 4*r + 206 = o. Let g = 190 - o. Is g a prime number? False Let p(v) = 30*v + 5. Let h be p(4). Suppose h = 4*m - 151. Is m prime? False Suppose 6*j - 2880 = -2*l + 3*j, 3*j + 1431 = l. Is l a composite number? True Let g be 36/8 + 4/8. Suppose -886 = -g*d - 2*p + 6*p, 5*d = -4*p + 894. Is d a composite number? True Let h(m) = -8*m + 3. Let l be h(-3). Suppose 0 = 4*r - 5*r -
{ "pile_set_name": "DM Mathematics" }
15/(-30) - g/4. Factor -2*c + 3*c - 16*c + 5*c**3 - y. 5*(c - 2)*(c + 1)**2 Solve -43/5*n**3 + 0*n + 44/5*n**2 - 1/5*n**4 + 0 = 0. -44, 0, 1 Let p = -635353/3 - -211786. Let 2/3*q**2 + 0 - p*q = 0. What is q? 0, 5/2 Let o(t) be the first derivative of -4*t**3/15 - 132*t**2/5 + 268*t/5 - 361. Determine w, given that o(w) = 0. -67, 1 Let g(a) = 2*a**2 - 88*a - 84. Let q be g(45). Let p(f) be the second derivative of 2/15*f**q - 2*f**2 + 0*f**4 - 16*f + 0 + 4/3*f**3 - 2/5*f**5. Factor p(h). 4*(h - 1)**3*(h + 1) Factor -5/2*d**3 + 5/2*d**2 - 225/2 + 105/2*d. -5*(d - 3)**2*(d + 5)/2 Let x(t) be the third derivative of -2*t**7/105 + 13*t**6/120 + 59*t**5/20 + 93*t**4/8 - 27*t**3/2 + 26*t**2 + 31*t. Factor x(h). -(h - 9)*(h + 3)**2*(4*h - 1) Let q(c) be the first derivative of -111*c**5/5 + 3*c**4/4 + 111*c**3 + 213*c**2/2 - 6*c + 7434. Determine i so that q(i) = 0. -1, 1/37, 2 Let m(a) be the first derivative of 4*a**3/15 + 1404*a**2/5 - 2812*a/5 + 7291. Factor m(r). 4*(r - 1)*(r + 703)/5 Let a(x) be the second derivative of -5/3*x**3 + 0 + 0*x**2 - 1/90*x**5 - 1/540*x**6 + 24*x - 1/36*x**4. Let c(b) be the second derivative of a(b). Factor c(d). -2*(d + 1)**2/3 Let h(v) = v**3 - 16*v**2 - 16*v - 14. Let t be h(17). Solve 3*r**t - 16*r**4 + 5*r**2 + 15*r + 18*r**4 - 21*r**2 - 3 - 1 = 0. -4, 1/2, 1 Let l(j) be the first derivative of j**6/540 + 17*j**5/90 + 289*j**4/36 + j**3/3 + 32*j + 61. Let n(v) be the third derivative of l(v). Solve n(c) = 0 for c. -17 Let k = 1252/183 + -764/183. Factor 3*q - k - 1/3*q**2. -(q - 8)*(q - 1)/3 Factor -326/3*x + 329 - 1/3*x**2. -(x - 3)*(x + 329)/3 Solve 0 - 2/11*a**4 + 0*a + 40/11*a**3 - 150/11*a**2 = 0. 0, 5, 15 Let s(j) be the third derivative of j**5/180 - 125*j**4/36 + 1225*j**3/18 - 140*j**2 + 2*j. Suppose s(o) = 0. Calculate o. 5, 245 Factor -3/2*q**4 - 378*q**2 - 51*q**3 + 972*q + 0. -3*q*(q - 2)*(q + 18)**2/2 Let u be 2 + ((-39)/6)/((-1)/2). Let f = 17 - u. Let 208*y**f - 208*y**2 - 5*y**3 = 0. Calculate y. 0 Let n(c) be the third derivative of -c**5/20 + 8*c**4 + 10*c**2 + 136. Factor n(o). -3*o*(o - 64) Let j = 125455 + -125449. Factor -j - 6075/2*d**2 - 270*d. -3*(45*d + 2)**2/2 Let f = -1211894 - -7271365/6. Factor 0 - f*l**2 - 13/6*l. -l*(l + 13)/6 Factor -1/6*c**3 + 4 - 1/2*c**2 + 5/3*c. -(c - 3)*(c + 2)*(c + 4)/6 Let z(a) be the second derivative of 209/12*a**4 - 1/42*a**7 + 50*a**2 + 190*a + 0 + 1/2*a**6 - 83/20*a**5 - 40*a**3. Factor z(n). -(n - 5)**2*(n - 2)**2*(n - 1) Let i(z) = 11*z + 4. Let a be i(-1). Let p be 6/84*-4*a. Factor -3/5*v**3 + 0 + 1/5*v**5 - v**p + 1/5*v**4 - 2/5*v. v*(v - 2)*(v + 1)**3/5 Let g(v) be the first derivative of 5*v**6/6 - 3*v**5/2 - 11*v**4/12 + 2*v**3 + 2*v**2 - 33*v + 156. Let n(l) be the first derivative of g(l). Factor n(z). (z - 1)**2*(5*z + 2)**2 Let c = -148/21 - -50/7. Let d be (11284/392 + -29)/(2 - (-11)/(-4)). Suppose 2/21*j**4 + 4/21 + c*j**3 - d*j**2 - 2/21*j = 0. What is j? -2, -1, 1 Let u(s) = 19*s**3 + 139*s**2 - 6017*s - 108427. Let a(m) = -10*m**3 - 70*m**2 + 3010*m + 54214. Let x(w) = -11*a(w) - 6*u(w). Factor x(c). -4*(c - 28)*(c + 22)**2 Let s be (-1033 - -1045) + (-204)/22 + -2. Factor 0 + s*b**4 + 12/11*b**3 + 2/11*b**5 + 8/11*b**2 + 2/11*b. 2*b*(b + 1)**4/11 Suppose 0 = 4*l + 3*i - 150 - 21, 4*l + i = 161. Suppose -4*w = -w - l. Factor 5*d**4 + 18*d + 42*d + 7 + 65*d**2 + 30*d**3 + w. 5*(d + 1)**2*(d + 2)**2 Let n be (-38)/475 - 51/(-450). Let o(t) be the third derivative of 0*t**4 + 0*t**3 + 0 - 15*t**2 + 0*t + 3/40*t**6 - 1/30*t**5 - n*t**7. Solve o(v) = 0. 0, 2/7, 1 Let p(v) be the second derivative of -v**7/210 - v**6/30 - v**5/20 + 197*v**2/2 - 10*v - 1. Let n(u) be the first derivative of p(u). Factor n(j). -j**2*(j + 1)*(j + 3) Let w(g) = g**3 - 496*g**2 + 62499*g + 63051. Let f(i) = i**2 + 10. Let l(h) = -15*f(h) + 3*w(h). Factor l(c). 3*(c - 251)**2*(c + 1) Let o be 3/((0 - -6)/6). Factor -1044*j - 349*j**3 + 84*j**4 - 208*j**2 + 1400*j**2 - 4*j**5 + 324 - 203*j**o. -4*(j - 9)**2*(j - 1)**3 Let h be 6 + -6 + -5 + -23. Let s be 16/h - 605/(-140). Solve 5/4*n - 5*n**3 + 0 - 5/2*n**4 + 5/2*n**2 + s*n**5 = 0 for n. -1, -1/3, 0, 1 Let f = 90 + -85. Suppose 4*p - 134 = -2*k, 6*p + 296 = f*k + 3*p. Factor b**4 + 4 + 3*b**3 - k*b + 6*b**2 - 3*b**4 + 51*b - b**3. -2*(b - 1)**3*(b + 2) Let z(m) be the third derivative of -441/2*m**3 + 1 - 21/4*m**4 + 0*m + 74*m**2 - 1/20*m**5. Find y, given that z(y) = 0. -21 Let q(w) = -2*w**5 + 53*w**4 + 1568*w**3 - 43892*w**2 - 3. Let v(f) = 4*f**5 - 105*f**4 - 3136*f**3 + 87780*f**2 + 7. Let u(y) = -7*q(y) - 3*v(y). Factor u(d). 2*d**2*(d - 28)**2*(d + 28) Let y = 2879/9168 + -56/191. Let m(l) be the second derivative of y*l**4 + 0*l**2 + 1/80*l**5 - 1/120*l**6 - 1/168*l**7 + 0*l**3 + 0 - 21*l. Factor m(t). -t**2*(t - 1)*(t + 1)**2/4 What is j in -864/7 + 4/7*j**4 - 100/7*j**3 - 240/7*j + 520/7*j**2 = 0? -1, 2, 6, 18 What is x in 33*x**3 - 36*x**4 + 51*x**2 + 108*x + 24 + 26*x**2 + 162*x**2 - 101*x**2 - 15*x**5 = 0? -2, -1, -2/5, 2 Let s(v) be the third derivative of -31/12*v**4 + 961/3*v**3 + 0 + 1/120*v**5 - 4*v**2 + 32*v. Determine p so that s(p) = 0. 62 Let t = -1971 + 6272/3. Let a = t - 119. Find d, given that -a*d + 0 + 4/3*d**2 - 4/3*d**4 + 2/3*d**3 = 0. -1, 0, 1/2, 1 Suppose 0 = 5*p - 1451*i + 1454*i - 28, 0 = -4*p - 2*i + 20. Factor 2/7*b**2 - 36/7 - p*b. 2*(b - 9)*(b + 2)/7 Let m(t) be the third derivative of -t**5/240 - 11*t**4/32 + 17*t**3/12 + t**2 - 94*t. Determine k so that m(k) = 0. -34, 1 Factor -11/6*d**3 + 1/2*d**4 + 1/2*d + 5/6*d**2 + 0. d*(d - 3)*(d - 1)*(3*d + 1)/6 Let -5/4*y**5 + 645/4*y - 7/2*y**2 - 76*y**3 - 117/2 - 22*y**4 = 0. Calculate y. -13, -3, 2/5, 1 Let b(z) = z**2 - 9. Let n be b(-3). Let l = 121 + -117. Solve n*d**2 + 0*d**2 - 3*d**l - 3*d**2 + 21*d**3 - 27*d**3 = 0. -1, 0 Let s(k) be the first derivative of 52 + 8/3*k - 1/9*k**3 + 1/3*k**2. Factor s(q). -(q - 4)*(q + 2)/3 Factor -8/9*g**2 - 2/9*g**3 + 8/9 + 2/9*g. -2*(g - 1)*(g + 1)*(g + 4)/9 Let f be 5/((-20)/12) - (-31 - -25). Let b(g) be the first derivative of -3 + 0*g - 3*g**4 + 4/5*g**5 - 2*g**2 + 4*g**f. Suppose b(d) = 0. What is d? 0, 1 Suppose 179*p + 48 = 191*p. Suppose l = -l + 6. Let 195 + 3*x**5 - 195 - l*x**p - 3*x**3 + 3*x**2 = 0. What is x? -1, 0, 1 Let z(g) = -26*g**4 + 3*g**4 + 7 + 8*g**4 - 25*g**3 - 88*g**2. Let c(x) = 2*x**4 + x**3 + x**2 - 1. Let k(w) = -21*c(w) - 3*z(w). Let k(b) = 0. What is b? -9, 0 Let r(f) be the second derivative of -f**6/60 - 153*f**5/20 - 2601*f**4/2 - 88434*f**3 + 151*f. Let r(o) = 0. What is o? -102, 0 Suppose 42*q - 52 = 7508. Let b be -1 - 1 - (-400)/q. Solve b*y**3 + 0 - 2/3*y**2 + 4/9*y = 0 for y. 0, 1, 2 Let k = -1124654/1791849 - 44/4297. Let h = 4/139 - k. Factor -26/3*f**2 + h*f**3 - 24 + 32*f. 2*(f - 6)**2*(f - 1)/3 Let c(w) = w**3 + w - 1. Let h be (-4)/(-8)*1*2. Let p(u) = -4*u**4 + 8*u**3 + 4*u - 4. Let x(y) = h*p(y) - 4*c(y). Solve x(l) = 0 for l. 0, 1 Let j be 66*5/30 + -9. Factor -1/5*z**j + 7/5 + 6/5*z. -(z - 7)*(z + 1)/5 Let s(k) be the first derivative of -1/5*k**5 + 0*k + 1/2*k**4 + 1/3*k**3 - k**2 + 94. Factor s(m). -m*(m - 2)*(m - 1)*(m + 1) Let d(m) be the third derivative of 2/35*m**7 - 2/15*m**5 + 2/3*m**4 - 2/3*m**3 - 99*m**2 - 2/15*m**6 + 0*m + 0. Factor d(k). 4*(k - 1)**2*(k + 1)*(3*k - 1) Let n(f) be the first derivative of 6/5*f**2 + 2/3*f**3 + 2/5*f + 22. Factor n(y). 2*(y + 1)*(5*y + 1)/5 Suppose m = -2, -o - 8*m + 10*m = -6. Determine t, given that o*t**2 - 24 - 6*t + 24 - 8*t - 8*t = 0. 0, 11 Let g be ((-81)/(-30) - 9/45)*6. Determine q, given that 55*q**2 + 15*q - 3*q**4 - g*q**3 - 2*q**4 + 11500 - 11550 = 0. -5, -1, 1, 2 Let m be 37/57 - (-2394)/(-7581). Determine p so that -m*p**2 - 147 + 14*p = 0. 21 Factor 0 + 655*u - 1/3*u**2. -u*(u - 1965)/3 Let g be 6/10 + 123*(-14)/(-105). Let l be 3/(-5)*((g - 12) + -10). Let -6*u**2 + 3/2*u**l + 15/2*u - 3 = 0. Calculate u. 1, 2 Factor 0*b + 13/4*b**3 + 5/12*b**5 - 3/4*b**2 + 0 + 29/12*b**4. b**2*(b + 3)**2*(5*b - 1)/12 Let s(i) be the first derivative of -2*i**6/3 - 52*i**5/5 - 58*i**4 - 352*i**3/3 + 64*i**2 + 512*i + 993. Factor s(v). -4*(v - 1)*(v + 2)*(v + 4)**3 Let j(v) = -2*v**2 - 10*v + 14. Let z be j(-7). Let b = z + 18. Factor 2*o**2 + 3*o + b*o + 3*o**2 + o**3 + 3 + 0*o. (o + 1)**2
{ "pile_set_name": "DM Mathematics" }
1 + 20750*o. -87*o Collect the terms in 14448*k**3 - 28974*k**3 + 14501*k**3. -25*k**3 Collect the terms in -476*a + 1069*a + 1302*a - 257*a. 1638*a Collect the terms in -66*p**2 - 178*p**2 - 28*p**3 + 18*p**3 - 64*p**2 - 67*p**2 + 375*p**2. -10*p**3 Collect the terms in -4587862*s**3 + 9176236*s**3 - 4588016*s**3. 358*s**3 Collect the terms in 42*l**3 + 2 - 64*l**3 + 43*l**3 + 23*l**3 - 2. 44*l**3 Collect the terms in -12648*l**2 - 7897*l**2 - 7041*l**2. -27586*l**2 Collect the terms in -1390*q**2 + 1897*q**2 - 502*q**2. 5*q**2 Collect the terms in 75 - 28 - 26 - 21 - 118247*q**2 + 118250*q**2. 3*q**2 Collect the terms in 13*n + 16*n - 36*n + 7*n + 17496*n**3. 17496*n**3 Collect the terms in 248*o - 53*o + 24*o**3 + 112*o**3 + 2*o**2. 136*o**3 + 2*o**2 + 195*o Collect the terms in -258003*j**2 - 19671*j**2 - 156355*j**2 - 45084*j**2. -479113*j**2 Collect the terms in -107236*t + 53496*t + 53609*t. -131*t Collect the terms in 1934 - 1846*u - 1851*u + 3681*u. -16*u + 1934 Collect the terms in 670*p**2 - 2137 + 420*p**2 + 2137 - 203*p**2. 887*p**2 Collect the terms in 12150*n + 11418*n - 34946*n + 11398*n. 20*n Collect the terms in 876*b**2 - 1849*b**2 + 982*b**2. 9*b**2 Collect the terms in -159681*w**2 + 319372*w**2 - 159691*w**2 - 5682*w**3. -5682*w**3 Collect the terms in 30*c - 868 + 30*c - 874 + 3538 - 1796. 60*c Collect the terms in -190407 + 571212 - 190409 + 4*p - 190396. 4*p Collect the terms in 2*d + 2*d + 988 - 2*d**2 - 6*d. -2*d**2 - 2*d + 988 Collect the terms in 865*y + 860*y - 1714*y - 208 + 208. 11*y Collect the terms in 11917 + 11907 - 16*r**3 + 41*r**3 - 23800. 25*r**3 + 24 Collect the terms in -7 - 2769*w + 91 - 17 + 2768*w - 38. -w + 29 Collect the terms in 369944584*s + 11*s**3 - 369944584*s. 11*s**3 Collect the terms in 303 - 529*v - 99 - 103 - 9 - 92. -529*v Collect the terms in 585 - 180 - 24*g - 197 - 179. -24*g + 29 Collect the terms in 59 + 40 + 0*f**2 + 26 + 59*f**2 - 34. 59*f**2 + 91 Collect the terms in -233*i - 5 + 9 - 9381*i - 2 - 2237*i. -11851*i + 2 Collect the terms in -418 + 1219 - z + 815 + 3*z - 234. 2*z + 1382 Collect the terms in 5*o**3 - 161842*o + 80921*o - 2*o**3 + 80921*o - 2*o**3. o**3 Collect the terms in -19*a - 24*a - 31 - 243*a**2 + 37*a + 107*a**2 + 114*a**2. -22*a**2 - 6*a - 31 Collect the terms in -1077347*b - 1077273*b + 2154621*b. b Collect the terms in 7827414463*u**2 - 7827414463*u**2 + 5*u**3. 5*u**3 Collect the terms in 11*o**2 + 0*o**2 - 12*o**2 - 1138292*o + 1138429*o. -o**2 + 137*o Collect the terms in -3 + 18179*r**3 - r + 1 - 9068*r**3 - 9095*r**3 + 2. 16*r**3 - r Collect the terms in -409*n**2 + 93*n**2 + 66*n**2 + 141*n**2 + 106*n**2. -3*n**2 Collect the terms in 114425*t + 4*t**2 - 31 + 35 - 4 - 114425*t - 5*t**2. -t**2 Collect the terms in -963*x**2 - 3155*x**2 + 1262*x**2. -2856*x**2 Collect the terms in -1257806*k**3 + 1257689*k**3 - k - 25 + 25. -117*k**3 - k Collect the terms in 1890 - 3993 - 2*v**3 + 2203. -2*v**3 + 100 Collect the terms in -1317*v**2 - 20109*v + 1266*v**2 + 98 + 20109*v - 96. -51*v**2 + 2 Collect the terms in 5*w + 550313798771 - 550313798771. 5*w Collect the terms in 1590*s**2 - 787*s**2 - 97*s**3 - 803*s**2. -97*s**3 Collect the terms in -48922394174*p**3 + 24461197100*p**3 + 24461197089*p**3. 15*p**3 Collect the terms in -2 + 8 - 1977*t**2 - 4 - 2 + 1773*t**2. -204*t**2 Collect the terms in -2663*y + 10655*y - 2686*y - 1 + 1 - 2650*y - 2659*y. -3*y Collect the terms in 187849*t**2 - 378967*t**2 + 189501*t**2. -1617*t**2 Collect the terms in 2227*f - 128*f + 3911*f + 1062*f. 7072*f Collect the terms in -10 - 14*u + 5 + 10*u**2 + 6 + 4. 10*u**2 - 14*u + 5 Collect the terms in 787 - 60*v - 301 - 250 - 238. -60*v - 2 Collect the terms in 11 + 11 - 87*c - 4 - 2 + 4. -87*c + 20 Collect the terms in 238 + 6373*s**2 + 210 + 228 - 6372*s**2. s**2 + 676 Collect the terms in -3 + 2 + 108*l**2 + 0 - 1309*l**2 + 7. -1201*l**2 + 6 Collect the terms in -11704 + 3894 + 3910 - 60*l + 3900. -60*l Collect the terms in 7*v - 4*v - 447437623785 - 3*v + 447437623785 + 19*v**3. 19*v**3 Collect the terms in -28*y - 439 + 0*y**2 - 27*y + y**2 + 55*y + 326. y**2 - 113 Collect the terms in -1098 - 17917*l**2 + 17911*l**2 + 548 + 550. -6*l**2 Collect the terms in -5752 - 59879*z**3 - 5754 + 11506 + 3*z**2. -59879*z**3 + 3*z**2 Collect the terms in 3769468 - b - 1262*b**2 - 3769468. -1262*b**2 - b Collect the terms in -382013*s - 499963*s - 648799*s + 37510*s. -1493265*s Collect the terms in -13*w + 675*w**2 - 2 + 0*w - 720*w**2. -45*w**2 - 13*w - 2 Collect the terms in -248 - 145 - 246*m**3 + 393. -246*m**3 Collect the terms in -29*p**2 - 7 + 3026*p + 4145*p - 6 + 11. -29*p**2 + 7171*p - 2 Collect the terms in 3610 + 15763 - 93944 - 3*c. -3*c - 74571 Collect the terms in -1438 + 228159*f**2 + 1438. 228159*f**2 Collect the terms in 1221 + 28*j**2 + 2*j - 30*j**2 + 10653. -2*j**2 + 2*j + 11874 Collect the terms in 4*d**2 - 20431*d**3 - 4*d**2 + 22626*d**3. 2195*d**3 Collect the terms in -221*a**2 + 535*a**2 - 4441*a**2 - 651*a**2. -4778*a**2 Collect the terms in -241*q + 644*q - 232*q - 221*q + 53*q. 3*q Collect the terms in 1069022*m**2 - 2138055*m**2 + 1069027*m**2. -6*m**2 Collect the terms in 636*w**2 + 5 - 18 + 283*w**2. 919*w**2 - 13 Collect the terms in 559*l**2 + 3867849107 - 3867849107. 559*l**2 Collect the terms in 208*j**3 + 0 + 3033*j - 3033*j + 2 - 2. 208*j**3 Collect the terms in 3*t**3 + 5610 + 5746 + 12200 - 5257. 3*t**3 + 18299 Collect the terms in -6638*j**3 + 21627*j**3 - j**2 - j**2. 14989*j**3 - 2*j**2 Collect the terms in 58 - 8 - 83*h - 183*h - 26. -266*h + 24 Collect the terms in 1252*r**2 - 2507*r**2 + 1017*r**3 + 1017*r**3 - 2032*r**3 + 1255*r**2. 2*r**3 Collect the terms in 95*a**2 - 39*a**2 - 89*a**2 - 7*a + 7*a + 187*a**2. 154*a**2 Collect the terms in -298861079259*h + 298861079259*h - 19*h**2. -19*h**2 Collect the terms in -1542952254*w**2 + 1542952254*w**2 - w**3. -w**3 Collect the terms in 596503*y**2 - 804 + 804. 596503*y**2 Collect the terms in -3541*v**2 + 1208*v**2 - 23*v**3 + 1161*v**2 + 1168*v**2 + 7*v**3. -16*v**3 - 4*v**2 Collect the terms in -5764*x**2 - 307*x**2 + 6 + 7*x**2. -6064*x**2 + 6 Collect the terms in -192 + y**2 + 264*y + 58 + 64 + 70. y**2 + 264*y Collect the terms in 264*k + 386*k + 380*k + 2*k**3 - 1030*k. 2*k**3 Collect the terms in -30*d + 43 + 20 - 22 - 36. -30*d + 5 Collect the terms in -8*c - 1121 + 0*c + 3686 - 1272 - 1293. -8*c Collect the terms in 1130445*b**2 - 623660*b**2 - 506786*b**2. -b**2 Collect the terms in 2390 + i**2 - 582 - 650 - 3*i**2 - 572 - 586. -2*i**2 Collect the terms in 3506934558 + 37*t - 134*t - 3506934559. -97*t - 1 Collect the terms in -68*b**3 - 264*b**3 - 54*b**3 + 44*b**3 - 99*b**3. -441*b**3 Collect the terms in 2*d**3 - 10660246 - 8*d**3 + 10660246. -6*d**3 Collect the terms in -10*w**3 + 11713986945*w**2 - 11713986945*w**2. -10*w**3 Collect the terms in 55*h + 30 + 58*h + 57 - 65 + 65*h - 170*h. 8*h + 22 Collect the terms in 2443573 - 20396*x - 2443573. -20396*x Collect the terms in -8*r - 148*r**3 + 108*r**3 + 13*r**2 + 26*r**3 + 7*r - 13*r**2. -14*r**3 - r Collect the terms in -2 - 1318*n + 442*n**3 + 1318*n - 8 + 12. 442*n**3 + 2 Collect the terms in 86955*t**2 - 550202*t**2 - 299647*t**2 - 553830*t**2. -1316724*t**2 Collect the terms in 59*r**3 + 115*r**3 - 447*r**3 - 556*r**3 - 55*r**3. -884*r**3 Collect the terms in 3398*w**3 - 2*w**2 - 74 - 8*w**2 - 3*w**2 - 3399*w**3 + 2*w**2. -w**3 - 11*w**2 - 74 Collect the terms in 104 + 7918*a**2 - 207 + 103. 7918*a**2 Collect the terms in -12*l**2 + 1898 + 1949 - 3847. -12*l**2 Collect the terms in -77900*c + 155799*c - 77906*c + 3. -7*c + 3 Collect the terms in 52504*g**3 - 17459*g**3 - 17463*g**3 - 17447*g**3. 135*g**3 Collect the terms in 245 + 9789*b**2 - 9755*b**2 - 245. 34*b**2 Collect the terms in -117742*y**2 + 29452*y**2 + 29433*y**2 + 29444*y**2 + 29435*y**2 + 0*y + 0*y. 22*y**2 Collect the terms in -117594*c**2 + 81*c - 1030*c + 95*c. -117594*c**2 - 854*c Collect the terms in -2219*x**2 - 7*x**3 + 4*x**3 + 6546*x**2 - 2217*x**2 - 2110*x**2 - 12*x**3. -15*x**3 Collect the terms in 1676 - 840 + 13911*i - 99747*i - 836. -85836*i Collect the terms in 12223867*v**2 - 6111935*v**2 - 6111931*v**2 - 2*v. v**2 - 2*v Collect the terms in
{ "pile_set_name": "DM Mathematics" }
**4 - 4*i**4 - i**4 + i**2 + 34*i**4 + 4*i**4 - i**4 to m*i**2 + p*i**3 + o*i**4 + c*i + l and give c. 0 Rearrange -984*h**4 + h**3 - 19*h**3 - h + h**2 + 0*h**2 + 1017*h**4 to t + j*h + o*h**3 + s*h**4 + n*h**2 and give o. -18 Rearrange -3 + 500*f**3 + 6 - 415*f**3 + f**2 to s + g*f**2 + x*f**3 + i*f and give g. 1 Rearrange ((0 + r + 0)*(-116*r + 60*r + 95*r) + r**2 + r - r)*(-2*r**2 + 15*r**2 + 7*r**2) to the form a + z*r**4 + i*r + g*r**2 + o*r**3 and give g. 0 Rearrange (4*g**2 + g**2 - 3*g**2)*(-84*g + 71*g - 72*g) + 4*g**3 - 13*g**3 - 4*g**3 to l*g + h + c*g**2 + z*g**3 and give z. -183 Rearrange 121 + 123 - 101*g**2 - 46*g**2 + 120 + 5*g**3 - 375 to o*g**3 + h + q*g**2 + p*g and give h. -11 Express 22 - 78 + 18 + 15 + 19 - 473*f as s*f + g and give g. -4 Rearrange -10 - 23 + 9*a + 8 + 3*a - 4 to g*a + p and give p. -29 Express (11*t + 1 + 1 - 4*t)*(-430*t - 328*t - 22 + 1434*t - 361*t) as m + f*t**2 + u*t and give m. -44 Rearrange -32*u**2 + 28*u**2 - 13*u**2 - 14 - 5*u**4 - 3*u + 4*u**4 + 5 to i*u**3 + p*u + l*u**2 + z*u**4 + q and give q. -9 Express 40 + 45 - i + 2*i + 125 + 82 as f + z*i and give z. 1 Express -5 + 542*m**3 - 2179*m**3 + 542*m**3 + 550*m**3 - 98*m**2 - 2*m + 543*m**3 in the form v*m**3 + s + p*m + l*m**2 and give v. -2 Express 206*k**2 - 45*k**2 - 37*k**2 + 7*k**3 - 86*k**2 - 3*k - 37*k**2 + 36*k**4 as l*k**4 + b*k**3 + w*k**2 + i*k + d and give b. 7 Rearrange 10508*j + 7173*j + 3938*j + 1762*j to f + v*j and give v. 23381 Rearrange g**3 - 515*g + 1030*g - 4 + 6*g**2 - 528*g to the form t*g + c*g**2 + k*g**3 + w and give w. -4 Express 2569*z - 2569*z + 1 - 18*z**2 as t*z + j*z**2 + b and give j. -18 Express (7 - 5 - 1)*(-6*l - 2*l - 32*l + (-l - 1 + 1)*(1 + 0 - 2)) - l - l + 4*l in the form p*l + z and give p. -37 Express 13 + 499*a - 891*a + 481*a - 13 + 19*a**3 as d*a**3 + r*a**2 + s + b*a and give d. 19 Express (-6 - 5 + 3)*(1 + 25 - 47)*(o + 0 + 0)*((0 - 1 + 6)*(-1 + 5 + 0) + (-3 + 5 + 1)*(0 + 3 - 1)) as k + l*o and give l. 4368 Rearrange (3*z**2 - 7*z**2 - 4 + 3*z**2)*(-1 + 2 + 2)*(-2 - 39 + 7) to l + b*z + a*z**2 and give l. 408 Rearrange 12 - 13 + 3 - i**3 - 290*i + 292*i + 232*i**2 to the form d*i + p + x*i**2 + c*i**3 and give c. -1 Express -33*m + 28*m**3 - 31*m - 2 - 52*m + 113*m + m**2 in the form h*m**2 + c*m**3 + n + d*m and give h. 1 Express 14 - 19*u**2 + 8 + 9*u**2 - 21 + 13*u**2 - 730*u as z*u + j + y*u**2 and give j. 1 Express 1 + 507*w**4 + 202*w**4 + 79344*w - 79341*w as c*w**3 + y*w + m*w**2 + d + a*w**4 and give a. 709 Express 177*o**4 - 167*o**4 - o**3 - 15 - 8*o**4 as x*o**3 + k + v*o + w*o**2 + f*o**4 and give f. 2 Rearrange (s**2 + 1 - 1)*(-20064 + 4*s**2 - 20067 + 40152 + 21*s) to g + y*s + i*s**4 + c*s**3 + j*s**2 and give j. 21 Express -l**3 + 14090*l - 720 - 71*l**4 - 14092*l + 717 - l**2 as c*l**3 + d*l**4 + y*l**2 + a + k*l and give y. -1 Rearrange (1 + 3 - 5)*(0*a + 2*a + a) - 4304*a + 14997*a + 5869*a - 505*a + 5630*a to the form p + j*a and give j. 21684 Express (10*j + 20*j - 126*j)*(-95*j + 6032 - 6032) in the form v*j**2 + a + q*j and give v. 9120 Rearrange (2*k**3 - 2*k**3 + 2*k**3)*(-2*k + k - k) + 1226 - 410 - 409 - 405 + 43*k**4 + 21*k**3 to j*k + u*k**2 + c*k**4 + d*k**3 + n and give c. 39 Rearrange (-g**2 + 3*g**2 - 11*g**2)*(-3 + 0 + 4) + 60*g**2 - 70*g**2 - 45*g**2 + (-5*g + 2*g + 2*g)*(-5*g + g + 0*g) to s*g**2 + i + z*g and give s. -60 Rearrange -46*v**2 + 36 + 39*v**2 + 4*v**2 + 39 - 9 to b*v + f*v**2 + y and give y. 66 Express -2*p**2 + 9*p + 12*p - 147 + 9*p - 12*p - 20*p in the form d + g*p + s*p**2 and give s. -2 Express (-5*p + p + 5*p)*(p**3 + 2*p**3 - 4*p**3) + (-2*p**3 - 6 + 6)*(1750 - 1749 + 13*p + 74*p) as y + v*p + i*p**4 + b*p**3 + f*p**2 and give b. -2 Express (2 + 2 - 3)*(15 + 1 - 1)*(-23*i + 21*i - 15*i + i - 2*i + 0*i + (0 + 1 - 3)*(4 + 2*i - 4) - 2*i - 2*i + 2*i + 0 + 0 - i) in the form k + t*i and give t. -375 Express (-12 + 55 - 2)*(-35*i**2 - 39*i**2 - 51*i**2) in the form l + q*i**2 + k*i and give l. 0 Express -293*t**4 + 578*t**4 + 4*t - 6*t**3 - 7*t**2 - 284*t**4 + 9*t**3 - 1 as o + f*t**4 + m*t**3 + v*t**2 + c*t and give c. 4 Express -4093 + 8816 + n + 4926 + 5007 in the form b*n + c and give b. 1 Rearrange 25*b**4 + 12 - 10 + 10*b**3 - 80*b**4 - 2*b**4 to the form x*b**4 + c*b**2 + o*b**3 + s + q*b and give x. -57 Express -1469*n**3 + 3588*n**3 - 1417*n**3 + 13*n**2 + 2 in the form t*n**2 + y + p*n + o*n**3 and give y. 2 Express -25*v - 15578 + 31*v - v**2 + 15687 - v**4 as t*v**3 + k*v**4 + h*v**2 + n*v + u and give h. -1 Express -17995348 - 29*l + 2*l**3 + l**2 + 17995348 in the form y*l + b*l**3 + q*l**2 + g and give y. -29 Rearrange 8*t**3 - 2*t**3 - 69*t + 9*t**3 + 80*t to u*t**2 + w*t**3 + h*t + m and give w. 15 Express 33 - 34*g - 13*g + 50*g - 24*g - 36*g as w + j*g and give j. -57 Rearrange -2*n + n**3 - 664 + 1333 - 667 + 3*n**2 + 17*n**4 to the form l + p*n + v*n**2 + d*n**3 + h*n**4 and give l. 2 Express (0 - c + 0)*(0 + 0 - 2 + (-1 + 3 - 3)*(-247 + 820 + 396) - 2 + 2 + 2) + c + c - c as j*c + q and give j. 970 Express -37 + 0 - 46*k + 2 + 48*k - 1 - 2*k**3 + 7*k**4 - 2*k**2 as b*k**2 + u*k + f*k**4 + w*k**3 + t and give b. -2 Express 7740*w**2 + 49295*w - 49295*w + 1037*w**2 in the form k*w + s + i*w**2 and give i. 8777 Express 14*x**3 + 27*x**3 - 7*x**3 + 453933 + 0*x**2 - x**2 - 453981 as y*x + k*x**3 + u*x**2 + z and give k. 34 Rearrange -134291*m + 122090*m - 3 + 3 to a*m + z and give a. -12201 Express (4 + 4 - 4)*(-127 - 14 - 96)*(7 + 3*f - 7) as a*f + z and give a. -2844 Express (-1 + 1 - 1)*(-2*k + k - 2*k) + 70*k + 36*k + 25*k + (-2 - 2*k + 2)*(-3 - 2 + 3) + 2*k - 1 + 1 in the form p + n*k and give n. 140 Rearrange -5*k**2 + 5*k**2 + k**2 + (-17*k**2 + 2*k**2 + 0*k**2)*(-3 - 5 + 26)*(2 + 1 - 6) to the form f*k**2 + m + h*k and give f. 811 Rearrange 275 - 275 - 2*k**2 - 249*k**3 - 463*k**3 - 3*k**2 to t*k + p*k**2 + h*k**3 + l and give h. -712 Express -126*f**2 + 40*f**2 + 2*f + 1 + 37*f**2 + 9 + 44*f**2 in the form j + g*f + k*f**2 and give g. 2 Rearrange -155 - 2 + 2 + 2*c**3 + 4*c**4 + c**4 - 2*c**4 to w*c + h + r*c**4 + s*c**3 + y*c**2 and give w. 0 Express 123241*r**2 + 121980*r**2 - 246196*r**2 as i*r + u + z*r**2 and give z. -975 Rearrange -860*b - 546*b + 7741*b to k + q*b and give q. 6335 Rearrange (-350 - 591 - 2928)*(2*m**2 + 2*m**2 + m**4 + 2*m**2) to v + x*m**4 + c*m**2 + u*m**3 + d*m and give x. -3869 Rearrange -1646*b - 1172*b - 432*b + 245*b + 180*b to the form x + g*b and give x. 0 Rearrange -1144 + 4438*g**2 + 1144 to z + i*g**2 + o*g and give z. 0 Express (31 + 63 + 70)*(127*w - 6*w + 212 - 211) in the form k + h*w and give h. 19844 Rearrange 13*k**2 + 95 - 2*k + 2*k**3 - 13*k**2 - 92 to f*k**3 + n*k + z + a*k**2 and give z. 3 Rearrange (-p + 10*p + 5*p)*(-259 + 135 + 132)*(-3 + 4 + 1) to the form h*p + x and give x. 0 Rearrange (-3 + 5*q - 3*q + 0)*((-2 - 3*q + 2)*(4 - 2 - 1) + 7*q + 13*q - 23*q + 185) to the form b + i*q**2 + u*q and give b. -555 Rearrange v**3 - 658771 + 18*v**2 - 69*v**2 + 658773 to the form z + t*v + p*v**3 + a*v**2 and give p. 1 Rearrange -573*a - 7*a**2 + a**2 + 22*a**4 + 14*a**3 + 566*a - 25*a**4 to the form j + t*a**3 + o*a + h*a**2 + y*a**4 and give t. 14 Rearrange (19 - 20 + 24)*(565*a - 229*a - 220*a) to t + d*a and give d. 2668 Express (0*w - w + 4*w + (-2*w + 4*w - w)*(-3 - 1 + 2) + 0*w + 0*w - w - 2*w + 3*w - 3*w - w - w + 0*w)*(-146 - 4299 - 169) as n*w + s and give n. 18456 Express -526 - 28*i + 8*i + 11*i - 2*i as p + x*i and give x. -11 Rearrange (292*f - 468*f + 279*f)*(-6*f + f**2 - f + 41 - 40) to the form g + s*f + l*f**3 + m*f**2 and give s. 103 Express -2*v**4 - 5*v + 0*v - 204*v**2 + 4*v - 4*v**3 + 6 + 201*v**2 as a*v**4 + b + o*v**2 + j*v**3 + x*v and give a. -2 Rearrange (-2*z + 2*z - z)*(-2*z + 2*z**2 + 2*z) + 553 + 490 + 2*z**2 - 146*z**3 + 23477*z**3 - 1043 to the form v*z**2 + r*z + h*z**3 + y and give h. 23329 Rearrange 6*u**3 - 7*u**3 + 2*u**3 - 1 - 332*u**2 to the form m*u**3 + y*u + d*u**2 + b and give b. -1 Express -4*x - 299*x**2 + 675*x**4 + 5*x + 478*x**4 + 2*x**3 + 298*x**2 - 1 - 1 in the form s*x + w + a*x**4 + v*x**3 + h*x**2 and give v. 2 Express -2*f**3 - 122 - 174 + 29 - 6 - 17*f + 22*f as c + m*f + u*f**3 + t*f**2 and give u. -2 Express 2
{ "pile_set_name": "DM Mathematics" }
3*o + f*o**4 wrt o. 12*o**2 Let g = -10 - -14. Differentiate -3 - 12*l**4 + 9*l**g + 4*l**4 wrt l. 4*l**3 Let r(y) = 4*y + 5. Let k be r(-5). Let c be ((-12)/k)/((-6)/(-15)). Find the second derivative of -5*f**3 - 3*f + 3*f + c*f + 3*f**3 wrt f. -12*f Let o(a) = 11*a**2 - 11. Let i(c) = 21*c**2 - 23. Let s(r) = -3*i(r) + 7*o(r). Find the first derivative of s(m) wrt m. 28*m Let h(p) = p**4 + p**3 - 1. Let f(n) = 28*n**4 + 9*n**3 - n - 11. Let i(d) = -2*f(d) + 18*h(d). Find the second derivative of i(k) wrt k. -456*k**2 Let j = -1 + 3. Let p be -3*(j - (-1 + 4)). What is the first derivative of 0 - 3 + 4 + p*c wrt c? 3 Let z(t) = 7*t**4 + 6*t**3 - 4*t**2 - 6*t. Let v(a) = a**3 - a**2 - a. Let q(f) = 6*v(f) - z(f). What is the third derivative of q(i) wrt i? -168*i What is the third derivative of 39*k**6 - 54*k**6 + 33*k**6 + 6*k**2 + 6*k**2 wrt k? 2160*k**3 Let k(l) be the first derivative of l**2 + l - 5 + l**2 + 0 + 0. Find the first derivative of k(b) wrt b. 4 Let g(x) be the third derivative of x**6/3 - 37*x**4/24 - 16*x**2. Find the second derivative of g(a) wrt a. 240*a Let w be (0 - 0)/(5/(-5)). What is the second derivative of -t**2 + w*t + 3*t - 5*t wrt t? -2 Let y(i) be the second derivative of -6*i**5/5 + 7*i**2 + 24*i. Differentiate y(g) wrt g. -72*g**2 Let g(b) be the second derivative of -b**10/2520 - b**6/360 + b**3/2 + 3*b. Let j(r) be the second derivative of g(r). Find the third derivative of j(q) wrt q. -240*q**3 Let h(f) = f + 8. Suppose -2*d - 9 = 3. Let z be h(d). What is the third derivative of z - x**3 - 2*x**2 - 2 wrt x? -6 Let x(o) = o**2 - o - 2. Let n be x(-1). Find the third derivative of 4*w**4 - 27*w**2 + 29*w**2 + n*w**4 wrt w. 96*w Let r(x) = -2*x - 2. Let k be r(-5). Let m be (k - 1)*(-6)/(-21). Differentiate 6*w**2 + 1 - 6*w**m - 4*w**4 wrt w. -16*w**3 Let f(a) be the second derivative of 0*a**5 - 1/14*a**7 - 1/6*a**3 + 0*a**4 + 0*a**6 + 0*a**2 + 4*a + 0. Find the second derivative of f(p) wrt p. -60*p**3 Suppose 3*g = 6*g. Let s(i) be the second derivative of 0 + g*i**4 - 1/30*i**6 + 0*i**5 + 0*i**3 + 2*i - i**2. What is the derivative of s(a) wrt a? -4*a**3 Let i(y) be the second derivative of 0 - 2*y + 1/10*y**5 + 0*y**3 + 0*y**2 + 1/3*y**4. Find the third derivative of i(t) wrt t. 12 Let q(x) = x**2 + x. Let k(h) = -6*h**2 - 3 - h + 0*h**2 - 1 + 3*h**2. Let j(m) = -2*k(m) - 2*q(m). Find the first derivative of j(c) wrt c. 8*c Suppose 0 = 6*v - 3*v - 54. Find the first derivative of -13 - 5*d**3 - 5*d**3 + v + 3*d**3 wrt d. -21*d**2 Let v(i) be the first derivative of -i**7/70 + i**5/30 - i**2 - 1. Let t(r) be the second derivative of v(r). What is the third derivative of t(d) wrt d? -72*d Suppose 5*d = 4*u + u + 25, 0 = 4*u + 8. Suppose -3*o = -6 - d. What is the first derivative of -2*z**o + 4 - 3 + 4*z**3 wrt z? 6*z**2 Let d(y) be the second derivative of 0*y**3 - 6*y + 0*y**2 - 1/2*y**4 + 0 + 1/10*y**5. Find the third derivative of d(a) wrt a. 12 Let q(v) be the third derivative of 1/15*v**5 + 4*v**2 + 0*v + 1/24*v**4 + 0*v**3 + 0. Find the second derivative of q(x) wrt x. 8 Let m(h) be the first derivative of -3*h**4/4 + 21*h**2/2 + 3. Find the second derivative of m(c) wrt c. -18*c Let k(z) be the second derivative of z + 0*z**5 + 2/3*z**4 + 0*z**3 + 0 + 7/30*z**6 + 0*z**2. What is the third derivative of k(b) wrt b? 168*b Suppose -22 = -h - 3*c - c, -8 = h - 2*c. Let v(g) be the third derivative of 0 - 1/6*g**3 + 0*g + 1/8*g**4 + 3*g**h. Differentiate v(m) with respect to m. 3 Let y(a) be the first derivative of -a**5 - 8*a**3/3 + 4. What is the third derivative of y(p) wrt p? -120*p Let p(i) be the first derivative of 0*i + 0*i**3 - i**4 + 3/2*i**2 - 4. What is the second derivative of p(f) wrt f? -24*f Find the third derivative of 3*z**2 - 5*z + 5*z - 21*z**6 + z**2 wrt z. -2520*z**3 Let x(j) be the first derivative of 35*j**4/4 - 41*j**2/2 - 1. What is the second derivative of x(p) wrt p? 210*p Let d(r) = -r - 2. Let k be d(-6). What is the second derivative of k*g**4 + 2*g - 12*g**4 + g wrt g? -96*g**2 Find the third derivative of -100*l**2 + 92*l**2 + 6*l**4 + 25*l**4 wrt l. 744*l Let c(g) be the first derivative of g**6/10 - g**4/4 + 4*g + 4. Let h(w) be the first derivative of c(w). What is the third derivative of h(l) wrt l? 72*l Let y(c) be the third derivative of c**5/4 - 17*c**3/6 - 38*c**2. What is the first derivative of y(h) wrt h? 30*h Let w(n) = -5*n**3. Let m be w(-1). Suppose 0 = -4*f - 5*p + 40, -m*f + 12 = -f - 2*p. What is the derivative of 2 + f*i - 4*i + 0*i wrt i? 1 What is the third derivative of 22*y**2 - 24*y**2 - 9*y**5 + 0*y**5 wrt y? -540*y**2 Let u = 11 - 11. Suppose 4*f + 0 = -3*z + 2, u = 2*z + 4*f. Find the second derivative of 2*o**z - 2*o**2 + 2*o**2 - 2*o + 0*o wrt o. 4 What is the third derivative of -9*k**5 + 3*k**2 - 19*k**5 + 0*k**2 wrt k? -1680*k**2 Let c(f) be the second derivative of f**9/5040 + f**5/24 - f**4/2 + 7*f. Let g(x) be the third derivative of c(x). Find the first derivative of g(s) wrt s. 12*s**3 Let r = 1 + 1. Find the second derivative of 0*l**r + 2*l - 5*l**2 + l**3 + 5*l**2 wrt l. 6*l Let j(g) = -10*g**3 - 6. Let t = 51 + -34. Let s(r) = -3*r**3 - 2. Let x(p) = t*s(p) - 6*j(p). Find the first derivative of x(f) wrt f. 27*f**2 Find the second derivative of -1 - 2*s**3 + 3 - 8*s - 13*s + 2*s**4 + 79*s wrt s. 24*s**2 - 12*s Let j(p) be the second derivative of 1/3*p**3 + 3/2*p**2 + 3*p + 0. Differentiate j(n) wrt n. 2 Let h(v) = -5*v**2 - 3*v. Let p(s) = -s**2 + s. Let n(z) = -3*h(z) + 6*p(z). Find the second derivative of n(i) wrt i. 18 Suppose -5*o + 2 = 32. Let m(u) = -5*u**3 + u**2 + 6. Let r(c) = 15*c**3 - 3*c**2 - 17. Let x(a) = o*r(a) - 17*m(a). What is the third derivative of x(d) wrt d? -30 Let a = 3 - 2. Let p(u) = 4*u**2 + 4*u - 4. Let y(t) = -t. Let c(j) = -j + 1. Let h be c(-3). Let q(d) = a*p(d) + h*y(d). What is the derivative of q(s) wrt s? 8*s Let f(c) be the second derivative of -3/56*c**8 + 0*c**5 + 0*c**2 - 4*c + 0*c**7 + 0 + 1/6*c**4 + 0*c**3 + 0*c**6. Find the third derivative of f(p) wrt p. -360*p**3 Find the second derivative of 24*y + 3*y**2 - 3*y**2 - 9*y - 26*y**4 wrt y. -312*y**2 What is the second derivative of 4*s**2 - 3*s + 8*s**2 - 4*s - 9*s**2 wrt s? 6 Suppose -5*g = -3*z, -5*g - 5*z + 27 + 13 = 0. Let o be (-10)/(3*(-2)/g). What is the derivative of b - b + o - 4 + 3*b**2 wrt b? 6*b Suppose -5*c + 2*l = l - 19, -14 = -3*c - 2*l. Let x be (c + -5)/((-1)/2). Differentiate 4 - x*m**2 + m**2 - 3 with respect to m. -2*m Let b be (3/3 - 1) + 2. Let l be 24/6*b/4. Find the third derivative of 12*t + t**l - 12*t - t**4 wrt t. -24*t Suppose -9 = -3*b + 9. Suppose -b*o = -2*o - 16. What is the second derivative of -o*f**2 + 4*f + f**2 + 7*f**2 - 2*f**2 wrt f? 4 Let p(f) be the third derivative of f**8/56 + f**4/6 + 6*f**2. Find the second derivative of p(q) wrt q. 120*q**3 Let a(u) be the third derivative of u**4/24 - u**3/6 - 5*u**2. What is the derivative of a(p) wrt p? 1 Let x(y) = 2*y**3 + 6*y**2 - 6*y - 7. Let t(z) = -z**2 + z. Let i(c) = 6*t(c) + x(c). Find the first derivative of i(f) wrt f. 6*f**2 What is the second derivative of -181 + 12*o + 9*o**2 + 181 wrt o? 18 Let g(n) be the second derivative of 5*n**4/2 - 5*n**3/2 + 8*n. What is the second derivative of g(v) wrt v? 60 Let v(m) be the second derivative of m**7/280 + m**6/120 + m**3/3 - 3*m. Let y(a) be the second derivative of v(a). Find the third derivative of y(l) wrt l. 18 Suppose -4 - 4 = -2*f. Find the second derivative of 2*k - 15*k**f - 9*k + 22*k**4 wrt k. 84*k**2 Suppose -3*n + 7 = -8. Find the second derivative of y**4 + 2*y + 0*y + n*y - 5*y**4 wrt y. -48*y**2 Let k(q) = -47*q**4 + 8*q**3 + 37*q**2 - 8*q. Let t(h) = 31*h**4 - 5*h**3 - 25*h**2 + 5*h. Let d(a) = -5*k(a) - 8*t(a). Find the third derivative of d(y) wrt y. -312*y Let s(q) be the third derivative of q**8/280 + q**5/30 - q**3/3 - 5*q**2. Let v(m) be the first derivative of s(m). What is the second derivative of v(c) wrt c? 72*c**2 Let h(t) be the third derivative of 0*t**6 + 0 + 0*t + 0*t**3 + 1/6*t**4 + 0*t**5 + 2/105*t**7 - 3*t**2. What is the second derivative of h(p) wrt p? 48*p**2 Find the third derivative of -4*h**2 - h**2 + 9*h**4 + 2*h**2 wrt h. 216*h Let j(k) be the thir
{ "pile_set_name": "DM Mathematics" }
i - 6*i + 3*i as d*i + j and give d. 11 Express (-m**3 - 4*m**3 + 3*m**3)*(m - 3*m + m)*(5 - 37 + 2 + (-3 - 3 + 4)*(-2 + 3 - 3)) as t*m + f*m**2 + l*m**4 + z + h*m**3 and give l. -52 Rearrange 3 - 1 - 9*x - 2 to the form z + w*x and give w. -9 Express (-k + 4*k - k)*(3*k - k - k) - k + 49 - 25 - 27*k**2 - 25 as o + p*k**2 + b*k and give b. -1 Rearrange 0*x + 11*x - x to r*x + c and give r. 10 Express 130*c**2 - 2204*c + 2204*c in the form b*c**2 + p + x*c and give b. 130 Express -4 - 2*l**2 - 7 + 8 + 3*l + 12 as v*l**2 + n + c*l and give c. 3 Express (3*p - 10*p - p)*(-4*p**3 + p**3 + 2*p**3) as x*p**3 + a*p**2 + s*p**4 + d*p + v and give s. 8 Rearrange (3*r - 6*r + 2*r)*(6 - 20 - 13) to the form z*r + k and give z. 27 Express 3*l**2 - l**2 + l**2 + (3*l - 2*l + l)*(-2*l - l + 4*l) - l**2 - 3*l + 3*l + (0*l + l**2 + 0*l)*(2 + 1 - 4) in the form z + y*l**2 + m*l and give y. 3 Rearrange (-1 - 1091*x - x**2 + 3 + 1089*x)*(2*x**2 + 1 - 1) to g*x**4 + s*x**2 + d*x + h + a*x**3 and give a. -4 Rearrange -442*i - 3*i**4 + 440*i - 2 - 2*i**3 + i**3 to the form l*i**3 + x*i**4 + y*i**2 + j + s*i and give j. -2 Rearrange -6*r**3 + 3*r**2 + 2 - r**4 + 4*r**3 + 2*r**4 - r to a*r**4 + t + s*r**3 + v*r + o*r**2 and give o. 3 Express 2 - 3*t**4 - t**3 + 2*t**4 - 3 as z*t + h*t**3 + k + c*t**2 + s*t**4 and give s. -1 Rearrange -307 + 20*t + 307 to the form w + l*t and give l. 20 Rearrange (-3 - 21 + 6)*(-4 - 1 + 4)*(-5*n + 3*n + n) to the form p + y*n and give y. -18 Express 0 + 0 + p**3 + (-2*p - 2*p + 2*p)*(-4*p**2 - p**2 + 4*p**2) + 2 - 4*p**3 - 2 - 14*p + 14*p - 4*p**3 in the form t + n*p**2 + w*p + u*p**3 and give u. -5 Rearrange 3 - 3*h**2 - 3 - 3 - h**2 to the form l*h**2 + x + v*h and give l. -4 Express -17*v + 5 + 33*v + 2 - 12*v in the form h + a*v and give a. 4 Express (141*w**2 - 137*w**2 - 2 - 3)*(12 + 0 - 9) in the form o + j*w + u*w**2 and give u. 12 Rearrange -2*s**4 + s**3 - 4*s**4 + 2*s**4 + 4 + 2*s**4 to j*s**4 + f*s**2 + c*s + r + t*s**3 and give j. -2 Express 17*m**3 - 7*m**3 - 2*m**2 - 6*m**3 - 2 in the form d*m**2 + g + i*m + l*m**3 and give d. -2 Rearrange 9*b - 656 + 656 to the form o + s*b and give s. 9 Express 0*g**3 - g - 11 - 1 - 2*g**2 + 3*g**2 - 2*g**3 as v*g**3 + b*g + i*g**2 + u and give i. 1 Express -7*a + 3*a + 8*a + 12*a as q*a + k and give q. 16 Express -f**4 - 18*f**3 - 1 - 2*f - 4*f**2 + f**2 + 18*f**3 as i*f**2 + q + o*f**3 + l*f + t*f**4 and give l. -2 Express -5*k**2 + 4*k**2 - k**3 + 2*k**2 - 2*k**4 as o*k**4 + f*k + m*k**2 + b*k**3 + u and give m. 1 Rearrange (1 + 5 - 1)*(-2 + 0 + 1)*(1 + 4 + 1)*(1 + 2 - 2)*(3 - 3 - i**2) to y*i + j + l*i**2 and give l. 30 Rearrange 24*n - 2 - 22*n + 4 - 5*n**3 to m*n**2 + y + b*n**3 + f*n and give y. 2 Express v + 3*v - 2*v + (0*v + 2*v - 3*v)*(35 + 30 - 16) as p + c*v and give c. -47 Express d - d + d**3 + (-d + d + 2*d**3)*(-15 - 4 + 3) as b*d + i + z*d**2 + q*d**3 and give q. -31 Rearrange 0*y - 13*y + y to s*y + f and give s. -12 Express -47*q**2 - 75 + 75 in the form b + s*q + o*q**2 and give s. 0 Express -13*s**2 + 9*s**2 - 98*s**2 - 2*s**2 in the form m*s**2 + c*s + j and give c. 0 Rearrange i**4 + 0*i - i**3 + 2*i**3 - 3*i**3 + 2*i**2 - i to s*i**2 + c*i + b*i**3 + f*i**4 + z and give c. -1 Rearrange (-2*a - 3*a**2 + 5*a**2 - a**2)*(-38*a + 38*a + 10*a**2 + (-4*a + 0*a + 3*a)*(0 + 0 - a)) to the form s*a**4 + x*a**3 + i*a**2 + v*a + h and give s. 11 Rearrange 38*y - 1 - 38*y + 4*y**2 + (-y - 3*y + 2*y)*(-y + 6*y - 3*y) + 3*y**2 - 4*y + 4*y to the form s + c*y + o*y**2 and give s. -1 Express (2 + 2*b - 2)*(0*b**3 + 0*b**3 + b**3) + (27 + 10 - 3)*(-b**4 - b**4 + b**4) as x*b + w + c*b**3 + z*b**2 + t*b**4 and give t. -32 Express (-2 + 2 - 5*b)*(11*b**3 + 17*b - 17*b) as y*b + h*b**3 + x + i*b**4 + j*b**2 and give i. -55 Rearrange 3 - 4*j**4 + j**3 + 2 + j - 3*j**4 - 4 to z*j**3 + x*j**2 + s*j**4 + t + m*j and give z. 1 Rearrange -5*u - 3*u**3 - 19*u**2 + 13*u**2 + 8*u**2 + 0 + 2 to x*u**3 + i*u + g + a*u**2 and give i. -5 Rearrange -16*a**2 + 6 + 8*a**2 - 1 - 2*a**4 + 3*a**2 to j*a**4 + d*a + u + s*a**2 + m*a**3 and give u. 5 Express 2644 - 2644 + 7*f**2 + f + 2*f in the form c + a*f**2 + r*f and give a. 7 Express -59*d - 56*d + 52*d - 54*d as u + q*d and give q. -117 Express (8 - 2 - 2)*(-3 - 4 + 1)*(j**2 + 4*j**2 - 4*j**2) as n + v*j**2 + a*j and give v. -24 Express -4*y**2 - y**3 + 20*y - 43*y + 22*y as r + i*y**2 + j*y**3 + f*y and give f. -1 Rearrange 5*c - 5*c + 0*c + 2*c - c**2 + c**4 - 7*c**3 to n*c**2 + u*c**4 + o*c + d*c**3 + a and give d. -7 Express (1 + 1 - 4)*(4 - 6 + 1)*(5 - 5 - 3*k + (-k + 0*k + 0*k)*(3 + 1 - 2) + 0 - 2*k + 0) in the form s + u*k and give u. -14 Rearrange 47*z + 4*z**2 - 1 - 47*z + 0 to q*z + f + x*z**2 and give q. 0 Rearrange 2*m**3 + 3*m**4 + m**4 - 4*m**3 + 1 - 5*m**4 to the form u*m**2 + i*m**4 + o*m + l + b*m**3 and give i. -1 Rearrange -8*l**3 - l**4 + 0*l**3 - 7*l**2 + 6*l**3 to the form m*l + y*l**3 + w*l**2 + z*l**4 + u and give w. -7 Express (43 + 7*m - 43)*(-4*m**2 + 6*m**2 + 0*m**2) in the form h*m**3 + x*m**2 + w + q*m and give h. 14 Rearrange (-r + 4*r - 5*r)*(5*r**2 - 5*r**2 + 5*r**3) + 2*r**3 - 2*r**3 + 2*r**4 to f*r**2 + b + y*r**4 + t*r**3 + k*r and give y. -8 Express -10*p**2 + 5*p**3 - 2*p**3 + 25*p**2 - p**3 in the form d*p + g*p**3 + h + r*p**2 and give r. 15 Rearrange -7 + 3 - 43*a + 5 - 2 to h + t*a and give h. -1 Rearrange (3 + 1 + 25)*(-5 + 3 + n + 0) to f + q*n and give q. 29 Express -y - y**2 + 0*y**2 + 0*y**2 + 6*y**2 in the form t*y**2 + c*y + o and give t. 5 Express (2 - 3 + 2)*(a**4 - 3*a**4 + 4*a**4) - 16*a**4 + 0*a**4 + 3*a**4 - 5*a**4 + 4*a**4 + 0*a**4 as o + j*a**3 + k*a + s*a**4 + h*a**2 and give s. -12 Express 4 - 4 - 8*b in the form r + o*b and give o. -8 Rearrange -7*x - 2*x**4 - x**4 - 3 + x**4 + 4*x**4 to the form o*x**3 + p*x + z*x**4 + c*x**2 + w and give p. -7 Rearrange -14*u + 11*u - 2*u - 1 to the form g + c*u and give g. -1 Express (29 + 27 + 13)*(-j - j + 3*j) in the form y + r*j and give r. 69 Rearrange ((-6*z + 3*z - 4*z)*(2 - 1 - 3) - z - 3*z + 5*z + 4*z - 3*z - 2*z)*(3*z**2 - z**2 + z - z**2) to the form m*z**2 + f*z**3 + l + h*z and give m. 14 Express (4*q**2 - q**2 - 4*q**2)*(-4*q + 4*q + q) + (4*q + 2*q**2 - 4*q)*(-1 + 1 - 2*q) - 4*q + 4*q - 3*q**3 in the form l*q + f + n*q**3 + i*q**2 and give n. -8 Express -11 + 11 + 6*n - n**2 as b + q*n**2 + f*n and give q. -1 Express -1 + 2*r**2 + 6 - r**2 as j*r + v + i*r**2 and give v. 5 Rearrange -3 - 2 + 0*w + 0*w + 7*w + 2*w**3 to the form i + v*w + l*w**2 + m*w**3 and give v. 7 Rearrange -1 - 25*a**3 + 201*a**2 + 0 - 199*a**2 to d*a + y + z*a**3 + j*a**2 and give y. -1 Rearrange (m + 0*m - 4*m)*(1 - 3 + 6) to the form n + o*m and give o. -12 Rearrange 0*x**3 + 0*x**2 + x**2 - 4*x**2 - 2 + 3*x**3 to the form k*x + q*x**2 + c*x**3 + v and give c. 3 Express 231 - 229 - n + n**2 - n**3 + n**2 + 2*n**4 in the form t*n**3 + s + u*n + b*n**4 + v*n**2 and give t. -1 Express (h + h - h)*((67*h - 119*h + 0*h)*(0 + 0 - 1) + (-4*h - h + 6*h)*(1 - 1 + 2)) + (2 - 2 + h)*(-h - h + 3*h) as x*h**2 + w*h + y and give x. 55 Express 57*p**2 - 2 + 49*p**2 - 2*p - 90*p**2 as d*p + l*p**2 + k and give k. -2 Rearrange (4 - 1 - 1)*(-3*v**2 + 3*v**2 - v**2)*(-4 + 4 - 13*v) to a*v**3 + s + b*v**2 + j*v and give b. 0 Express (1 + 0 + 0)*(-1051 + 1051 + 149*q) in the form j*q + l and give j. 149 Rearrange r**3 - 100*r + 12*r**2 - 38*r**2 + 102*r to h*r + j*r**3 + i*r**2 + m and give h. 2 Rearrange -w - 14*w - 13*w to the form y + g*w and give g. -28 Rearrange -21*s - 12*s + 2*s to l*s + i and give l. -31 Rearrange 37*g**2 + 3 - 78*g**2 + 42*g**2 to the form c*g + t*g**2 + q and give q. 3 Rearrange 45*f**2 - 10*f**2 - 17*f**2 to the form x*f + z*f**2 + b and give z. 18 Express a**4 + a**4 + 3*a - a**3 - 1 + 2*a - 4*a as m*a**2 + d*a**3 + y + k*a + c*a**4 and give k. 1 Rearrange -12*o + 38*o + 11*o to the form c*o + h and give c. 37 Express 2*b + 0*b**2 - 8*b - b**2 + 2 + (0*b - b + 2*b)*(-3*b - 4*b + 5*b) - 2*b - 2*b**2 + 2*b in the form s + y*b**2 + r*b and give r. -6 Express 2*o**2 - 3 + o**2 + 8 in the form q*o**2 + t + p*o and give t. 5 Rearrange (0 + 0 + 26*l)*(-5 + 1 + 5) to j*l + i and give j. 26 Rearrange 9*j**2 + 0*j**2 - 6*j**2 + (3 - 3 - 2*j)*(3 - 3 - j) + (0*
{ "pile_set_name": "DM Mathematics" }
(833)) + 3 - ((sqrt(833) + 1)*-6 + sqrt(833) - sqrt(833))) + ((sqrt(833) + 0)*-6 - sqrt(833) - (-1 + sqrt(833))*3) + 5)**2. -952*sqrt(17) + 13617 Simplify sqrt(7)*3*1 + (sqrt(7) + 1)*-3 + (-5*(sqrt(448) + (sqrt(448)*-1 - sqrt(448))) - sqrt(448))**2 + 2. 7167 Simplify ((sqrt(704) + 3)*-3 + (sqrt(1584) - (sqrt(1584) - (sqrt(1584) - 1*(0 + sqrt(1584)))))*-1)**2. 432*sqrt(11) + 6417 Simplify -6*(-2*-1*(sqrt(77) + (sqrt(77) - -1*sqrt(77))*-5 + sqrt(77) + sqrt(77)))/((3*sqrt(110)*-1)/((sqrt(70)*-2)/sqrt(7))). 56*sqrt(7) Simplify 0 + (sqrt(128)/sqrt(4))**2 + -3 + sqrt(72)*-1 - (6*(-3 + (sqrt(242)*1 - sqrt(242)) - (-4 + (sqrt(242) + 1 - sqrt(242)))))**2. -6*sqrt(2) + 29 Simplify (6*(sqrt(495) - (sqrt(495) + sqrt(495) + 6*(3*sqrt(495) + sqrt(495))))/(sqrt(35)/sqrt(7)*-6*3))**2. 6875 Simplify (((sqrt(19)*2 - sqrt(19) - sqrt(19))*4 - (sqrt(19) + sqrt(38)/sqrt(2))*4) + 5 - (sqrt(1216) + sqrt(1216) + -3 + 2 + -4))**2. -480*sqrt(19) + 11044 Simplify (4 + -1 + -6*2*(sqrt(304) - (-1 + -1 + sqrt(304) + sqrt(304)))*6 + 5)**2. -78336*sqrt(19) + 1594432 Simplify 3 + 2*sqrt(28)/sqrt(4) + -5 + ((sqrt(63) + sqrt(1575))*5 + 5)**2. 902*sqrt(7) + 56723 Simplify 0 + 2 + (sqrt(98) - (1*sqrt(98)*-1)**2 - (1 + ((sqrt(98) + 2 - sqrt(98)) + sqrt(98))**2)) + -3. -202 - 21*sqrt(2) Simplify ((3*(-5 + (2*(sqrt(1100) + 0) - (sqrt(1100) + -4*sqrt(1100)*-1))) + 4)*4)**2. 31680*sqrt(11) + 1427536 Simplify ((3 + (sqrt(245) - (1 + sqrt(245))) + 3)*1 - (1 + (1 + sqrt(245) - sqrt(245)))*6*-3)**2. 1681 Simplify (sqrt(576)*3*3*4)/((sqrt(1620)*-2)/(sqrt(1000) - (2*sqrt(1000) + sqrt(1000) + sqrt(1000) + sqrt(1000)))). 960*sqrt(2) Simplify sqrt(425) + 2 + 0 + -3 + sqrt(425)*1 - (-4 + 2*sqrt(425) - (-1 + sqrt(425) - sqrt(425))*-3)**2. -1750 + 150*sqrt(17) Simplify -2*(sqrt(132) - (sqrt(132) - (sqrt(132) + (sqrt(132)*-3 - sqrt(132)))*-2))/(sqrt(396)*-3) + -4 + 4. 4*sqrt(3)/3 Simplify (6*sqrt(105)/(sqrt(49)/(sqrt(7)*-1)))/((sqrt(300) - (sqrt(300) + sqrt(300)*2 + sqrt(300) - sqrt(300)))*-4 - -2*1*sqrt(300)). -3*sqrt(5)/50 Simplify -1 + (2*sqrt(91)*-4 - sqrt(91)*1*5)/(sqrt(56)/sqrt(2) - ((sqrt(7) - sqrt(112)*3 - sqrt(7)) + sqrt(7)))*5. -5*sqrt(13) - 1 Simplify ((4*(sqrt(252) + -1) - (4 + sqrt(252) + 0))**2 - (2*sqrt(252) + 3 + sqrt(252) + sqrt(252) + -1 + sqrt(252) + -3)) + 0 + 1. -318*sqrt(7) + 2334 Simplify sqrt(13) + (-1 + sqrt(13))*5 - ((sqrt(91) - (sqrt(91) - 2*sqrt(91)))/sqrt(7))**2 - (sqrt(1053)*-3 + 2)*1. -59 + 33*sqrt(13) Simplify (-1 + (-1 + sqrt(68))**2 + 2*sqrt(68)*-2 - (5*sqrt(68)*2 - (4 + sqrt(68) + 1)))*-1. -73 + 30*sqrt(17) Simplify (-3*sqrt(1008)*2 - sqrt(1008)) + -4 + sqrt(1008) + (sqrt(1008) + 1)**2 - (-3 + 3*3*(-1 + sqrt(7))). -57*sqrt(7) + 1017 Simplify (-1 + 1 + 4*-2*(sqrt(343) - (sqrt(343) + (3*sqrt(343) - sqrt(343))) - sqrt(343)) + -1)**2 + 1. -336*sqrt(7) + 197570 Simplify 5*(((sqrt(16) + sqrt(144)*-4)*3)/(-1*sqrt(16)/(sqrt(12)/sqrt(6))) + 4)**2. 1320*sqrt(2) + 10970 Simplify (-1 + -2*-5*(-1 + (sqrt(700) + 6*(0 + sqrt(700) - sqrt(700)) - (sqrt(700) - (sqrt(700) + -5 + -2 + sqrt(700) + sqrt(700)))) + -4))**2. -72600*sqrt(7) + 644641 Simplify 2 + 6*(sqrt(325))**2*4 - 4*(-3*(sqrt(156) - (sqrt(156) - sqrt(156)*-2)))/sqrt(12). -24*sqrt(13) + 7802 Simplify 0 + ((1*sqrt(27)/sqrt(3) + sqrt(9))/(sqrt(18)/sqrt(96)) - ((-4 + sqrt(3) + -2 + sqrt(3))**2 + sqrt(3) + sqrt(432))). -48 + 19*sqrt(3) Simplify (sqrt(847) + -4 + -1)**2*5 + 4 - ((sqrt(847) - 3*sqrt(847))**2 + 3 + -2*(sqrt(847) - (sqrt(847)*-1)**2)). -528*sqrt(7) - 721 Simplify 1 + (((2*sqrt(363) + sqrt(363))*-5)**2 - (sqrt(363) + (-6*(sqrt(363) - 1*sqrt(363)))**2)) + (1 + sqrt(363))**2 + 3 + -2 + 0. 11*sqrt(3) + 82041 Simplify ((-6*sqrt(108)*-2)/(-1*sqrt(1452)))/(-1*sqrt(363)*-2 + sqrt(363) - sqrt(363)*-2*-4). 12*sqrt(3)/605 Simplify ((-1*((sqrt(132) - -1*sqrt(132)) + sqrt(132)) + sqrt(132) + (-3*(sqrt(132)*2 - sqrt(132)) - sqrt(132)))/(sqrt(72)/sqrt(6)*5 + 1*sqrt(12)*3))**2. 99/16 Simplify -4 + -2*((sqrt(539)*2)**2 + 0)*3*6 + 5. -77615 Simplify ((((-2 + sqrt(243))*-5 + sqrt(243) + 2 + -3)**2 - ((2 + sqrt(243) - sqrt(243))*5*1)**2) + 5)*-5. -19370 + 3240*sqrt(3) Simplify ((-4 + sqrt(1088))*-4*5)**2 - 6*(3 + sqrt(136)/(sqrt(8) + sqrt(512) + sqrt(8))). -128003*sqrt(17)/5 + 441582 Simplify 4*sqrt(1088) + 4*(-1 + sqrt(17)) - (-6*(sqrt(187)*1 + sqrt(187)) - sqrt(187))/(sqrt(539) + -2*sqrt(539)). -4 + 239*sqrt(17)/7 Simplify ((-6*sqrt(352)*-2 + (-5*sqrt(352)*2 - sqrt(352)))*2)/(-5*(sqrt(288) - (sqrt(288)*2 + sqrt(288) + sqrt(288) - sqrt(288))) + -2*sqrt(288)*1). sqrt(11)/12 Simplify (-6*(sqrt(187) + (6*sqrt(187) + sqrt(187) - sqrt(187)) + sqrt(187))*4)/(-1*(sqrt(539)*-2 + sqrt(11)))*-3. 576*sqrt(17)/13 Simplify (-6*1*(-1*(sqrt(90)*2 + sqrt(90) - sqrt(90)))/((-2*2*sqrt(10))/sqrt(5)) + 3)**2. -54*sqrt(5) + 414 Simplify 1*((sqrt(1088)*4*4)**2 + sqrt(612) + -5 + -1*sqrt(612) + sqrt(612)) + 3. 6*sqrt(17) + 278526 Simplify 5 + -3 + (1*-4*sqrt(500)*-2*1)**2 + -3 + -1. 31998 Simplify ((((sqrt(85)*3 - sqrt(85)) + sqrt(85))*-6 - sqrt(85))*-3)/(sqrt(10)/(sqrt(6)/(sqrt(3) + sqrt(30)/sqrt(10)))). 57*sqrt(17)/2 Simplify (-4 + 5*(-4 + 1*sqrt(539) + sqrt(539) + -1 + 2*sqrt(539) - (1 + (sqrt(539)*-2 + sqrt(539) - sqrt(539)) + 3)))**2. -20580*sqrt(11) + 487501 Simplify 5*(3 + (5*(sqrt(187) + sqrt(187)*1 + sqrt(187))*-5)/(sqrt(891) - ((sqrt(891) - (sqrt(891)*3 - sqrt(891)) - sqrt(891)) + sqrt(891))*-2)). 15 + 125*sqrt(17)/3 Simplify (-1 + -4 + -5 + (-1*sqrt(72) - sqrt(72) - sqrt(72)) + -5 + 5 + -1)**2*-2. -1538 - 792*sqrt(2) Simplify -1*(((sqrt(176)*-1 + sqrt(176))*4)/(sqrt(484) + sqrt(484) + sqrt(484) + -1*sqrt(484) + sqrt(484) + sqrt(484)) + 0). 0 Simplify 3 + (4 + -3*((sqrt(68) - 2*(sqrt(68) + 0 + sqrt(68))**2) + (sqrt(68)*1 + 3)**2 + -4))*-1. -1414 + 42*sqrt(17) Simplify -3*(-1 + (2*sqrt(147) - sqrt(147)) - (sqrt(147) - (sqrt(147) + 0 + -2)) - (-1*(-2 + (0 + sqrt(147) - sqrt(147)))*-3)**2). -21*sqrt(3) + 117 Simplify (1*((sqrt(847) - (sqrt(847) + -1))*-5 - (3 + sqrt(847) + 0 + sqrt(847))) + -1*sqrt(847)*6*1 + -3)**2. 1936*sqrt(7) + 54329 Simplify ((((-2*sqrt(80) + sqrt(80))*3)**2 - (sqrt(80) + sqrt(80) + sqrt(80)*1)**2*2) + -2 + 0)*-1. 722 Simplify ((6*-2*sqrt(209) + sqrt(209))*3)/((sqrt(121) + sqrt(121)*1)/sqrt(11) + sqrt(77)/(sqrt(21)/sqrt(3)))*1. -11*sqrt(19) Simplify 0 + (-2 + (sqrt(931) - (sqrt(931) + sqrt(931) + sqrt(931) + 1 + 4)))**2 - ((-4*sqrt(931))**2*-4 - ((2 + sqrt(931) - sqrt(931)) + -1)). 196*sqrt(19) + 63358 Simplify (-5*sqrt(64) + (sqrt(40)/sqrt(160) - sqrt(4)))/(-1*sqrt(200)*5 - ((sqrt(200) + 2*sqrt(200))*2 - sqrt(200))). 83*sqrt(2)/400 Simplify -4 + ((((sqrt(19) - (sqrt(304) + -1)) + 5)**2 - ((sqrt(19) - -3*(sqrt(19) + 1)) + 5)) + 0)*-5. -999 + 200*sqrt(19) Simplify ((-3*(sqrt(228)*-1 - sqrt(228)))/(sqrt(36)/sqrt(3)*1) - ((sqrt(2736)*2 - sqrt(2736)) + 2 + sqrt(19) + -5))**2. -42*sqrt(19) + 940 Simplify 1*((sqrt(80)/(sqrt(5) + sqrt(80)*-4))/((sqrt(288)*-2 + sqrt(288))*-6))**2. 1/145800 Simplify 5*(-1 + sqrt(1900)*-2)*-6 + (-5 + sqrt(1900)*-2)*1 + 5. 30 + 580*sqrt(19) Simplify (-2 + 4*(4*(sqrt(1088) + 2 + sqrt(1088)) - (-1 + sqrt(1088) + -1 + sqrt(1088))) + -2 + -3 + -5)**2. 10752*sqrt(17) + 627472 Simplify (-3*-2*sqrt(320)*-2)/((sqrt(1440) - sqrt(1440)*-1)*1 + 3*-1*sqrt(1440)). 4*sqrt(2) Simplify (-2*(-3*sqrt(3400) - sqrt(3400))*4)/(sqrt(128)*-6 - (sqrt(32) + sqrt(192)/sqrt(6))). -40*sqrt(17)/7 Simplify ((-5*(-1 + sqrt(720) + 1))**2 + (sqrt(720) + (sqrt(720) - (sqrt(720)*2 - sqrt(720)))*5)*-6)*1. -72*sqrt(5) + 18000 Simplify (sqrt(11) + (sqrt(121)/(sqrt(11)*-5))**2 - (-5*sqrt(539))**2) + (4*(sqrt(55) + (sqrt(55) - sqrt(495))))/(sqrt(45)*3). -336864/25 + 5*sqrt(11)/9 Simplify (4*-2*sqrt(833)*4 - ((sqrt(102)/sqrt(6) + 1)**2 - sqrt(85)/sqrt(125)))*-6 + 3. 111 + 6774*sqrt(17)/5 Simplify (-2 + 3*-5*(-2*sqrt(2736) - sqrt(2736)) - (((sqrt(95)*2 - sqrt(95)) + sqrt(95))*1)/(sqrt(60)/(2*sqrt(12)) - sqrt(5)))**2. -2176*sqrt(19) + 5622788 Simplify -4 + ((sqrt(135)*1*5)/((sqrt(18)/sqrt(3))/sqrt(2)))/(2*(sqrt(90)/(sqrt(20)/sqrt(2)) - (sqrt(81) - sqrt(9))*-6)). -4 + 5*sqrt(5)/26 Simplify (-3*(4*(3*sqrt(99) + 0) + (sqrt(99) - -2*sqrt(99)*-1) + -3)*4)**2. -28512*sqrt(11) + 1726272 Simplify -6*3*6*1*2*(sqrt(200) + (sqrt(200)*-1)**2 + sqrt(200))*-6. 25920*sqrt(2) + 259200 Simplify (6*(4 + (sqrt(425) - (4*(sqrt(425) + -2) + sqrt(425)))))**2 - (
{ "pile_set_name": "DM Mathematics" }
817 What is the derivative of 446 - 905*w - 398*w + 1736*w wrt w? 433 Find the second derivative of -86*d**4 + 62*d - 48*d**4 - 116*d + 2 wrt d. -1608*d**2 Let n(c) = c**2 - 13*c - 27. Let g be n(16). What is the third derivative of -g*b**2 + 995 - 26*b**4 - 995 wrt b? -624*b Let v(s) be the first derivative of 11*s**6/360 - 5*s**4/6 - 22*s**3/3 + 21. Let m(z) be the third derivative of v(z). Differentiate m(f) with respect to f. 22*f Let w(t) be the third derivative of -34*t**4/3 + 229*t**3/6 + 228*t**2. Find the first derivative of w(q) wrt q. -272 Let g(b) = 3*b**2 + 3*b + 15. Let x be g(-3). What is the second derivative of -23*z**5 + 2*z - x*z - 8*z + 2*z wrt z? -460*z**3 What is the third derivative of -133*o**4 + 133*o**4 - 568*o**2 + 418*o**6 + 70*o**2 wrt o? 50160*o**3 Let c(y) be the third derivative of 0*y**6 - 13*y**2 + 0*y + 0*y**4 + 7/6*y**3 + 1/35*y**7 + 0*y**5 + 0. What is the derivative of c(j) wrt j? 24*j**3 Let a(i) = i**4 + i**3 + i**2 + i + 1. Let n(f) = 16*f**4 - 6*f**3 - 6*f**2 - 6*f + 108. Let k(r) = 6*a(r) + n(r). What is the first derivative of k(h) wrt h? 88*h**3 Let t = -51 + 58. Differentiate -t - 32*d + 63*d - 29*d wrt d. 2 Suppose 3*s + 3 = 0, 3*v + 0*s + 2*s = 7. Find the second derivative of -19*r**v - 19*r - 5*r**3 + 12*r wrt r. -144*r Let u be -1*-1*(-1 + 3). Suppose 4*p - d - 13 = 0, u*d = 4*p - 3 - 11. What is the third derivative of -3*o**3 + 2*o**4 + 3*o**p + 3*o**2 wrt o? 48*o Let u(q) be the third derivative of -13*q**4/12 + 164*q**3/3 + 268*q**2. What is the derivative of u(g) wrt g? -26 Let f be 1/(-4) - (-468)/16. What is the first derivative of -6*z - 17*z + f*z + 4 wrt z? 6 Let r(x) be the second derivative of -10*x + 9/2*x**2 + 0*x**3 + 0 - 3/20*x**5 + 0*x**4. Differentiate r(u) with respect to u. -9*u**2 Let r(y) be the first derivative of 107*y**4/4 + 9*y**2/2 - y - 113. What is the second derivative of r(a) wrt a? 642*a Let b(w) be the second derivative of -4*w**3/3 - 83*w**2/2 - 93*w. What is the first derivative of b(c) wrt c? -8 Let x = -8 + 13. Suppose -4*n = 3*v - 0*n + 16, x*n + 20 = -3*v. What is the third derivative of 3*o**4 + v*o**4 - 5*o**2 - 4*o**4 wrt o? -24*o Let r(b) = 564*b**2 + 22*b - 540. Let x(t) = 282*t**2 + 12*t - 269. Let c(m) = 6*r(m) - 11*x(m). What is the derivative of c(w) wrt w? 564*w Let n(z) be the second derivative of -71*z**3/2 + 43*z**2 + 257*z. What is the derivative of n(r) wrt r? -213 What is the derivative of 18 + 57 - 5*k**2 - 10 - 6*k**2 wrt k? -22*k What is the third derivative of -89*y**2 - 2423*y**6 + 2304*y**6 + 174*y**2 + 195*y**2 wrt y? -14280*y**3 Let c(v) = 84*v**2 - 131*v + 5. Let b(j) = -42*j**2 + 66*j - 3. Let z(u) = -5*b(u) - 3*c(u). What is the second derivative of z(r) wrt r? -84 Let s = -33 + 54. What is the second derivative of -22 + 10 + s*q + 12 + 7*q**2 wrt q? 14 Let w(o) be the first derivative of 0*o - 1/2*o**2 + 0*o**5 - 1/6*o**6 + 0*o**4 - 6 + 0*o**3. Find the second derivative of w(i) wrt i. -20*i**3 Let t(p) = -63*p - 90. Let r(x) = -3*x + 1. Let j(z) = r(z) + t(z). Differentiate j(n) with respect to n. -66 Let r(o) be the second derivative of 0*o**5 - 29*o + 0*o**3 - 4/21*o**7 + 0 + 0*o**2 - 13/6*o**4 + 0*o**6. Find the third derivative of r(f) wrt f. -480*f**2 Let o(j) = -11*j - 30. Let b be o(-3). Let g(n) be the second derivative of -n + 5/6*n**b + 1/12*n**4 + 0 + 0*n**2. What is the second derivative of g(i) wrt i? 2 Find the second derivative of 106*p**2 - 30*p**2 + 2*p - 22*p**2 + p**3 - 40*p**2 wrt p. 6*p + 28 Let b(m) = 5*m**3 + 18*m**2 + 3*m + 70. Let s(j) = 4*j**3 + 17*j**2 + 2*j + 69. Let p(t) = -2*b(t) + 3*s(t). Differentiate p(x) with respect to x. 6*x**2 + 30*x Let r(s) be the second derivative of s + 0*s**2 + 0*s**6 + 0*s**4 + 1/20*s**5 + 35/6*s**3 + 5/7*s**7 - 24. What is the second derivative of r(p) wrt p? 600*p**3 + 6*p Suppose 0 = -2*c + 3*n + 987, 0*c - 3*c + 1513 = 2*n. Find the second derivative of -501*x**3 + 6*x**4 - 2*x + c*x**3 wrt x. 72*x**2 Let s(u) = -372*u**2 - 333*u + 6. Let q(i) = -374*i**2 - 334*i + 9. Let h(t) = -2*q(t) + 3*s(t). What is the second derivative of h(o) wrt o? -736 Let v(d) = d**2 - 4*d + 9. Let u be v(6). Let k = -11 + u. Differentiate -4 + 4*x**3 + 2*x**3 - k*x**3 wrt x. -12*x**2 Let x(w) be the first derivative of 9*w**5/5 - 7*w**4/2 + 2*w**3/3 - 52*w**2 - 196. Find the third derivative of x(u) wrt u. 216*u - 84 Let q(z) be the second derivative of 0*z**3 + 37/12*z**4 + 0 - 25*z + 0*z**2 - 3/5*z**6 + 0*z**5. What is the third derivative of q(n) wrt n? -432*n What is the third derivative of 707*c**6 + 410*c**2 + 53*c - 53*c + 5 - 5 wrt c? 84840*c**3 Let v(h) = -h - 1. Let n(j) = j**2 - 4*j - 11. Let a be n(6). Let s(k) = 24*k + 22. Let i(y) = a*s(y) - 2*v(y). Differentiate i(w) with respect to w. 26 Let b(j) = 2*j**2 - 5*j - 3. Let d be b(-2). Differentiate -11*c**2 - d*c**2 - 30 - 5*c**2 wrt c. -62*c Let p = -4 - -7. Suppose i + 6 = p*i. What is the second derivative of 44 - 44 - 6*f + f**3 - 2*f**i wrt f? -6*f Let x = 8 - 9. Let g = x + 5. What is the first derivative of -4*c**2 + 1 + 2 + 4*c**2 + 5*c**g wrt c? 20*c**3 Let j = -66 + 69. Find the third derivative of -5*b**6 - 8*b**6 - 5*b**6 - 17*b**2 - j*b**2 wrt b. -2160*b**3 Let w(f) = 2*f + 7. Let c be w(-2). Differentiate -n**3 + 19 + c*n**3 - 10 - 14 wrt n. 6*n**2 Let x(p) be the second derivative of p**6/15 + 33*p**5/4 + 11*p**3 + 2*p**2 + p + 266. What is the second derivative of x(m) wrt m? 24*m**2 + 990*m Suppose -3*y - u - 3 = -4*u, -2*y + 19 = 5*u. What is the second derivative of 25*w**y - 5*w + 10*w + 10*w wrt w? 50 Let v(z) be the first derivative of -87*z**6 - 32*z**3 + 356. What is the third derivative of v(x) wrt x? -31320*x**2 Suppose -4*v = a - 3*v + 2, v = 3*a - 10. What is the third derivative of -5*m**2 + 8*m**a - 10*m**5 - 4*m**5 wrt m? -840*m**2 Let n(a) = -132*a + 298. Let x(o) = -397*o + 892. Let d(w) = -11*n(w) + 4*x(w). Find the first derivative of d(l) wrt l. -136 Suppose -2*l + 4 = -0. Find the third derivative of 3*r**5 - 5*r**2 + 2*r**5 + 6*r**l - 11*r**2 wrt r. 300*r**2 Let r(o) be the second derivative of -19*o**8/56 - o**7/14 - 155*o**4/12 - o**3/3 + 85*o + 2. Find the third derivative of r(z) wrt z. -2280*z**3 - 180*z**2 Let b = -4 + 24. Suppose -b = -c - 4*c. Find the third derivative of -2*g**2 - 4*g**4 - g**2 + 8*g**c wrt g. 96*g Let a(g) be the first derivative of -85*g**4/4 + 119*g**3/3 + 440. Find the third derivative of a(o) wrt o. -510 Find the second derivative of -48*b**2 + 72*b - 23*b**2 - 2*b - 11*b**2 wrt b. -164 Let v(o) = -36*o**2 + 67*o - 3. Let r(b) = 37*b**2 - 68*b + 4. Let s(t) = -3*r(t) - 4*v(t). What is the second derivative of s(m) wrt m? 66 Let u(q) = 15*q**3 + 5*q**2 - 21*q - 10. Let l(k) = -22*k**3 - 8*k**2 + 31*k + 16. Let f(i) = 5*l(i) + 8*u(i). What is the second derivative of f(z) wrt z? 60*z Let a(k) = -162*k**2 + 219*k + 4. Let z(l) = 323*l**2 - 434*l - 9. Let b(y) = -9*a(y) - 4*z(y). What is the second derivative of b(d) wrt d? 332 Let v(b) be the first derivative of 19*b**4/24 - b**3 + 10*b**2 + 21. Let r(p) be the second derivative of v(p). What is the first derivative of r(n) wrt n? 19 Let i(y) be the second derivative of -y**7/21 - 199*y**6/15 + 53*y**4/12 + 7*y**2/2 + 38*y - 7. Find the third derivative of i(x) wrt x. -120*x**2 - 9552*x Suppose -3*l - l - 24 = 0. Let r be 1 - l/(4 - 2). What is the derivative of -38 - r*m**4 + 43 + m**4 wrt m? -12*m**3 Let f = -18 - -18. Suppose f = -4*m + 5*c - 21, 3*c - 4*c = -5*m. Find the first derivative of -5 - m + 3 - 8*h**4 - 2 wrt h. -32*h**3 Let g(u) be the first derivative of 191*u**4/4 + 110*u**3/3 - 150. Find the third derivative of g(c) wrt c. 1146 Let x(d) be the first derivative of -505*d**6/6 + 437*d**3/3 - 466. What is the third derivative of x(l) wrt l? -30300*l**2 Let t(z) = -4*z + 2. Let l(c) = -5*c + 5. Let x(s) = -6*s + 6. Let f(k) = 5*l(k) - 4*x(k). Let w(m) = -2*f(m) - t(m). Differentiate w(v) with respect to v. 6 Find the first derivative of 90*f**4 + 752*f**2 - 752*f**2 - 87 wrt f. 360*f**3 Suppose 3*m = -4*n + 29, n - 20 = 4*m - 9*m. Suppose 5 = v - n. Find the third derivative of -2*f**3 + 2*f**3 - v*f**4 + 16*f**2 - 21*f**2 wrt f. -240*f Let f(g) = g**3 - 2*g + 1. Let x(y) = 2*y**4 + 6*y**
{ "pile_set_name": "DM Mathematics" }
-42*a**5 + 6*a**4 Expand (8 - 1 + 2)*((-2*y + 5*y - y)*(-3 + 2 + 2) - 3*y - 1 + 1)*(-51 - 95 - 11). 1413*y Expand 0*a**2 - 2*a**2 + 0*a**2 + (-8224 + 8224 + 98*a)*(192 + 7*a - 192). 684*a**2 Expand -c**4 - 3*c**4 + 5*c**4 + (0*c**2 + c**2 + c**2)*(-26*c**2 - 22*c + 7*c + 17*c). -51*c**4 + 4*c**3 Expand (-q**3 + 2*q**3 - 3*q**3 - 2*q**4)*(4520*q - 4739*q + 2 - 2). 438*q**5 + 438*q**4 Expand (4 - 3 + 1)*(-2*l - 2*l + 5*l)*(-5*l**3 + l**3 + 3*l**3 + (0*l - l + 3*l)*(2605*l - 2605*l + 53*l**2) + 3*l**3 - l**3 - 4*l**3). 206*l**4 Expand (1 - o - 1)*(2 - 2 + 2*o) + (-71*o**2 + 7*o**2 - 6*o**2)*(-88 - 85 + 131). 2938*o**2 Expand (-3 - 3*s + 3)*(-1 + 1 - 2*s) - 2 + 8*s**2 + 2 - 10*s + 10*s + 2*s**2. 16*s**2 Expand -3*z**5 - 10*z - 2*z**3 + 10*z + 3*z**5 + 3*z**5 - 4*z**5 + (3*z**2 + 0*z**2 - 2*z**2)*(-18*z**3 - 224*z**3 - 73*z**3). -316*z**5 - 2*z**3 Expand (2*s - 2*s**2 - 2*s)*(2*s + 0*s - 5982*s**3 + 6633*s**3). -1302*s**5 - 4*s**3 Expand (-11332 + 11337 + 146*o - 825*o)*(o**2 - o**2 + o**3). -679*o**4 + 5*o**3 Expand (56 - 89*v - 56)*(18*v + 24*v + 4*v). -4094*v**2 Expand -250*m**2 - 23*m**3 + 250*m**2 - m**3 + 0*m**3 - 2*m**3 + (-2*m**2 + 2*m**2 - 2*m**2)*(m + 0 + 3 + 7). -28*m**3 - 20*m**2 Expand (4*s**4 + 3*s**4 - 3*s**4 + (-3*s + 8*s + 9*s)*(2*s**3 + 0*s**3 - s**3))*(-s + 9*s - 4 - 19*s). -198*s**5 - 72*s**4 Expand (12*l - 1 + 7*l + 0*l)*(-3 + 0 + 2)*(-2*l + 1 - 1) + (3*l + 3*l - 3*l)*(0*l - 3*l + l) - 17*l**2 + 8*l**2 - 17*l**2. 6*l**2 - 2*l Expand (2*q + 1 - 1)*(-1 - 1 + 1) - 3594 + 7189 - 3594 + 922*q. 920*q + 1 Expand 2*h**5 + 23*h**5 + 26*h**5 + (h**3 + 3*h**3 - 2*h**3)*(-2 + 2 - 2*h**2) + (0*h**3 - h**3 + 0*h**3)*(3*h**2 - 4 + 4). 44*h**5 Expand (n - n - 2*n**2)*(-2 + 19 + 2 + (-3 + 1 + 1)*(0 - 1 + 3) - 1 + 1 + 1)*(-4 + 4 + 1 + (-1 - 3 + 2)*(6 + 3 - 5) - 2 + 3 + 0). 216*n**2 Expand (2 + 21*m - 3*m - 2)*(m**4 + 251*m**4 - 46*m**4). 3708*m**5 Expand (-k**4 + 2*k**4 - 3*k**4)*(-k + 2*k + 2*k) - 7639*k**5 + 15334*k**5 - 7556*k**5 + 13*k**4. 133*k**5 + 13*k**4 Expand (2*c**2 - 14*c + 14*c)*(-9 + 12 + 6 + (-4 + 3 + 0)*(1 + 1 + 1))*(-c**2 + 2*c**2 + 0*c**2). 12*c**4 Expand (-1 - 3*h**2 + 1)*(1 + 16118*h**3 - 15954*h**3 - 3). -492*h**5 + 6*h**2 Expand -59*v**2 + 59*v**2 - 32*v**4 + (2*v**2 + 3*v**2 - 6*v**2)*(-1 + 1 - 2*v**2) + 0*v - v**4 + 0*v + 10*v**4 - 19*v**4 + 7*v**4. -33*v**4 Expand 5*m**2 - 5*m**2 + 2*m**3 + ((-2*m**2 + 2*m**2 - 2*m**2)*(7*m + 0*m + 9*m) - 44 + 2*m**3 + 44)*(-1 + 3 - 4). 62*m**3 Expand 165 - 165 - 5*z + (-4*z + 2*z + 0*z)*(2 + 0 - 1) + 5*z + 6*z - 5*z - 19*z + 40*z + 6*z. 26*z Expand ((1 - 1 - 1)*(r - 2 + 2) + r - 5*r + 2*r + 0*r - 12*r - r)*(-2*r + 0 + 0 - 2*r + 2*r - r + (-6*r - r + 5*r)*(-2 + 0 + 3)). 80*r**2 Expand (6*d - 6*d + d + d - 5*d + 2*d + (0 + 2 - 1)*(3*d - d - 3*d))*(-1 + 11 + 23). -66*d Expand (15*j + 68*j + 981 - 979)*(-192 + 167*j + 192 - 2*j**2). -166*j**3 + 13857*j**2 + 334*j Expand (-49*o**2 - 23127 + 23127)*(-16 + 28 + 5*o**2 - 13). -245*o**4 + 49*o**2 Expand (5 - 7 - 5)*(-7 - 8 + 5)*(0*h**3 + 2*h**3 - 4*h**3)*(1 - 4 + 1). 280*h**3 Expand 2*g + 8*g**2 + 4*g**2 - 1 - 13*g**2 + ((3 + 0 - 5)*(2*g - 6*g + g) - 4*g + g + 17*g)*(-4*g + 3*g + 8*g). 139*g**2 + 2*g - 1 Expand (-q**3 + 7*q + 3 - 7*q)*(-5 + 3 + 1)*(-105*q + 699465 - 699465). -105*q**4 + 315*q Expand (0 - 1 + 4)*(45*c - 2 + 6 - 3)*(-1 + 0 - 1)*(1 + 2*c - 1). -540*c**2 - 12*c Expand 31 - 31 - 7*g**4 - g + (-4*g**3 + 6*g**3 + 2*g**3)*(2*g + 4 - 4) - 4*g**4 + 5*g**4 - 4*g**4 + (-g + 1 - 1)*(-2*g**3 + 5*g**3 - 4*g**3). -g**4 - g Expand (-12 + 4*k + 12)*(-32 - 17 + 221). 688*k Expand (4*i - 3*i + i)*(-5*i + 5*i + i) + 1 - 1 + 2*i**2 + 10*i**2 - 28*i**2 - 4*i**2 + 196*i - 196*i - 12*i**2. -30*i**2 Expand (-35*x - 26*x + 4*x)*(0*x + 4*x - 5*x)*(4*x**3 + 4*x - 4*x). 228*x**5 Expand (-10*g - 32*g + 5*g + (4*g - 2*g - 4*g)*(1 + 4 - 4))*(4*g + 0 + 0)*(7*g - 6*g - 2*g - g**2). 156*g**4 + 156*g**3 Expand (-385*p - 289*p - 3 + 1)*(12*p - 26 + 26). -8088*p**2 - 24*p Expand (0 - 2 + 3)*(-2 + 2 - s) + (-2 - 3 + 0)*(52 + 0*s - 62 - s). 4*s + 50 Expand (24239*m - 3187*m**2 - 24239*m)*(-2*m**2 - 3 + 3 - 2*m). 6374*m**4 + 6374*m**3 Expand (816*m + 3596*m + 1471*m)*(2*m**2 - 4*m**2 - m**2). -17649*m**3 Expand 50*n**4 - 18*n**3 + 18*n**3 + (-2*n + 2*n - n)*(-3*n**3 + 3*n**3 + n**3) + 9*n**4 + 5*n**4 + 2*n**4. 65*n**4 Expand (2 + 3*r**2 - 2)*(0 + 0 + 1)*(-1 + 3 - 3)*((-22 - 18 - 8)*(-2 + 3 + 0) + 2 + 1 - 1)*(-3 + 3 - 2*r). -276*r**3 Expand (2*k**2 - 2*k + 2*k)*(513972 - 1027087 + 514691 + 6*k). 12*k**3 + 3152*k**2 Expand (2*v - 3 + 3)*(3*v - 18*v + 12*v - 33*v**2 + 6). -66*v**3 - 6*v**2 + 12*v Expand (-32 - 16*d + 32)*(-11 - 401*d + 14 - 3). 6416*d**2 Expand (-4*j**2 + 3*j**2 + 2*j**2)*(-3154 - 23241 - 12463 + 5436 - 18802 - 12032). -64256*j**2 Expand (0*l**2 + 2*l**2 - 4*l**2)*(-l**2 + 0*l + 0*l) + 623*l**4 + 31148*l**2 - 31148*l**2. 625*l**4 Expand (-z - 4*z + 4*z)*(11 - 5 + 12) - 5*z - 20*z - 18*z - 2*z + z + 0*z. -62*z Expand (379 - 1902 - 4768 - 3358 - 991)*(-4*s**5 + 3*s**5 + 0*s**5). 10640*s**5 Expand (129 + 52 + 167 - 73)*(21*s**2 - 14*s**2 + 11*s**2)*((2*s + s - s)*(1 + 0 + 0) + 6*s + 4*s - 4*s). 39600*s**3 Expand (2 - 2 + h)*(-h**3 + 2*h**3 - 2*h**3) + (-3 - 3 + 4)*(h**4 + 2 - 2) - 13*h**4 - 41*h**4 + 12*h**4 - 3*h**3 + 3*h**3 + h**4. -44*h**4 Expand (0*s**2 - s**2 - s**2)*(-127*s**2 + 460*s**2 + 202*s**2)*(-17*s + s + 0*s). 17120*s**5 Expand b**3 - b**2 + b**2 + (-4*b + 2*b + 3*b)*(-21*b + 21*b + 36*b**2) - 9 + 5*b**3 + 3*b**3 - 9*b**3 + 3*b**3 + 3*b - 4*b + 0*b**3. 39*b**3 - b - 9 Expand (177*t - 178*t - 40 - 10 - 5)*(25*t**4 - 205*t**4 - 42*t**4). 222*t**5 + 12210*t**4 Expand (-6 - 1 - 10)*(-2*d + d + 0*d)*(-8957 + 8957 + 874*d + (-4 - 1 + 6)*(4 - 4 - 2*d) + (-4*d + d + 5*d)*(-1 + 1 - 1)). 14790*d**2 Expand -460*a**4 + 2*a**2 + 158*a**4 + 171*a**4 + (-2*a**3 + 2*a - 2*a)*(3*a + a - 3*a) - 2*a**4 + 4*a - 4*a - 2*a**2 - a**4 + 2*a**2 + 0*a**4 - a**4 - 2*a**4. -139*a**4 + 2*a**2 Expand 30520*y**2 + y - y**4 - 30520*y**2 - 27*y**3 + (-5 - 3 + 0)*(2 - 2 - y**4). 7*y**4 - 27*y**3 + y Expand (6 + 142 - 37*x**2 - 22*x**2 + 36473972*x - 36473972*x)*(-2*x**2 + 4*x**2 - 3*x**2). 59*x**4 - 148*x**2 Expand (2 - 4 + 3)*(-426*m - 134*m - 377*m)*(-2 - 3 + 6)*(-2*m + 2*m - m). 937*m**2 Expand (2*a + 4*a - a)*(-7 + 4 + 0) + (-4*a - 3*a + a)*(0 + 3 - 4). -9*a Expand (-4*g**5 - g**5 + 4*g**5)*(3 - 3 + 11) - 61*g + 4*g**3 + 59*g + 10*g**5 - 5*g**5. -6*g**5 + 4*g**3 - 2*g Expand (6*x**2 + 54*x**2 - 17*x**2)*(3*x**2 + 2*x**2 - 3*x**2) - 8*x**4 - 3*x + 3*x. 78*x**4 Expand (o - o + 21*o**2)*(3*o**3 - 501 + 253 + 244 - 2*o**2). 63*o**5 - 42*o**4 - 84*o**2 Expand (-3*h + 0*h + 5*h)*(368*h + 395*h - 142*h)*(-h**3 - h**2 + h**2). -1242*h**5 Expand (4*z**2 + 4*z**2 - 4*z**2)*(-z**3 + 4*z**3 - 5*z**3 + (-1 + 29 - 1)*(17 - 17 - 5*z**3)). -548*z**5 Expand ((-2 + 5 - 1)*(-2 - y + 2) + 0*y + y - 2*y - 5 + 5 - 3*y)*(-4635*y - 4106*y + 9714*y). -5838*y**2 Expand (-1 + k + 1)*(-112*k + 204*k - 1263*k) + (-1 + 1 + k)*(k + k + 0*k). -1169*k**2 Expand (-2008*w**2 + 2008*w**2 - 294*w**4)*(0 - 4 + 0 + (-3 + 5 - 4)*(-4 + 4 - 2) - 3 + 2 + 0). 294*w**4 Expand (755 - 2839 - 953)*(0*p**2 - p**2 + 2*p**2) + (3*p + 4*p - 5*p)*(p - 1 + 1). -3035*p**2 Expand (-w**4 - 3*w**4 - w**4)*(0*w + 8*w - 4*w + 2*w - 1 + 1 + (1 + 0 - 2)*(2*w - w + w) + w + 0*w + 0*w). -25*w**5 Expand 8*j**4 + 33*j**2 - 33*j**2 + (-2*j**2 + j**2 + 0*j**2)*(-j - 2*j**2 + j) + 7*j**2 - 3*j**4 - 7*j**2 + (4*j**2 + j**2 - 3*j**2)*(20 - 13 - 8 + j**2). 9*j**4 - 2*j**2 Expand (-2*h + h - 8*h)*(-h**4 - h + h) + 219*h**5 + 186*h**5 - 462*h**5. -48*h**5 Expand (690 + 18 + 41 + 362)*(7 - 3 - 3)*(4*d**4 + 2*d**4 + 5*d**4). 12221*d**4 Expand (-2*m**2 - m**2 + 5*m**2)*(-166*m**3 + 51*m**3 - 20*m**3) - 4*m**5 + 3*m**5 + 3*m**3 + 2*m**3. -271*m**5 + 5*m**3 Expand (-34340*l**2 - 33498*l**2 + 70573*l**2)*(-5 + 5 + l)*(-3 + 0 - 2). -13675*l**3 Expand (-4*w**4 + 4*w**4 + 3*w**5)*(1 + 0 + 4) - 24*w**5 - 184*w**5 - 47*w**5 - w**5 + 4*w**5 - 4*w**5. -241*w**5 Expand (2 + 2*h - 2)*(3*h + 6 - 6) - 164 + 51 + 1025*h**2 + 114 + (-3 + 3 + h)*(h - 2*h + 2*h). 1032*h**2 + 1 Expand (0 + 0 - 2)*(-3 + 1 + 0)*(-1 - 2 + 1)*(132*r - 73*r + 74*r)*(5 + 7 - 6). -6384*r Expand u**4 + 0*u + 0*u + (35*u + 249*u + 242*u)*(3*u**2 + 4*u**3 - 3*u**2). 2105*u**4 Expand (-4 -
{ "pile_set_name": "DM Mathematics" }
+ 4*c - 455 - c + 3*c**3. 3*c**3 + 3*c + 1120 Collect the terms in 86*n**2 + 285*n**3 - 86*n**2. 285*n**3 Collect the terms in -265*j**2 - 260*j**2 + 1041*j**2 - 248*j**2 - 265*j**2. 3*j**2 Collect the terms in 28 - 3*o**3 - 60 + 4*o**3 + 3*o**3. 4*o**3 - 32 Collect the terms in -1255 + 139*z**2 + 2501 - 1246 - 135*z**2. 4*z**2 Collect the terms in -2 + 2*a + 1178*a**2 - 2*a + 1181*a**2 - 2356*a**2. 3*a**2 - 2 Collect the terms in -807*p**3 - 608*p**3 + 688*p**3. -727*p**3 Collect the terms in -6*k**3 - 4519380024 + 4519380024. -6*k**3 Collect the terms in -41488 + 41488 + 6*f. 6*f Collect the terms in -26*u**2 + 364*u**2 - 2135*u**2. -1797*u**2 Collect the terms in 31054729716*w - 31054729716*w + w**2. w**2 Collect the terms in -28 + 43 - 15 + 244*a**3. 244*a**3 Collect the terms in -23*d**3 + 169*d**3 + 3*d + 0*d - 3*d. 146*d**3 Collect the terms in -12 + 2 + h + 0 + 23*h. 24*h - 10 Collect the terms in 327*c**3 + 28*c**3 - 17*c**3 + 135*c**3. 473*c**3 Collect the terms in 143*y**3 + 58*y**3 + 499*y**3. 700*y**3 Collect the terms in 401 - 800 + 399 - 320*p**3. -320*p**3 Collect the terms in -893*f**2 + 5791*f + 3*f**3 - 5791*f. 3*f**3 - 893*f**2 Collect the terms in 9694*o**2 + 23697*o**2 + 1712*o**2. 35103*o**2 Collect the terms in 18050 - 3*h - 36336 + 18286. -3*h Collect the terms in -2980*y**2 - 446*y + 446*y. -2980*y**2 Collect the terms in 174*b**2 + 70*b**2 - 7*b**3 - 38*b**2 + 5*b**3. -2*b**3 + 206*b**2 Collect the terms in -20*y**2 - 109*y**2 + 11 - 6 - 5. -129*y**2 Collect the terms in 3*a**2 - 1 + 60*a + 16*a - 10*a**2. -7*a**2 + 76*a - 1 Collect the terms in 0*y**3 - 13*y**3 - 10*y**3 - 24*y**3 + 4*y**3. -43*y**3 Collect the terms in -10*v + 8*v - 13*v + 15*v - 103*v**2. -103*v**2 Collect the terms in 31134 + r + 45217 + 8737. r + 85088 Collect the terms in 1450*d**3 - 732*d**3 - 717*d**3. d**3 Collect the terms in -11*t**2 - 333 + 707 - 374. -11*t**2 Collect the terms in 1845*p**2 + 36*p - 36*p - 116*p**2. 1729*p**2 Collect the terms in 22181*q - 10995*q - 11015*q. 171*q Collect the terms in 4*o**2 - 1827067746 + 1827067746. 4*o**2 Collect the terms in 1611*y - 56 + 56. 1611*y Collect the terms in 1282*c**3 - 6*c + 11 - 11 + 6*c. 1282*c**3 Collect the terms in -22 - 14 - 26*l**2 + 36. -26*l**2 Collect the terms in 3*y**2 - 819114 - 819113 + 1638227. 3*y**2 Collect the terms in 28*k**3 + 440*k**3 - 1 + 1 + 104*k**3. 572*k**3 Collect the terms in 22*l - 12*l + 2*l + 4*l - 1 - 5*l. 11*l - 1 Collect the terms in -793*z**3 + 225*z**3 - 3297*z**3. -3865*z**3 Collect the terms in -120*q**3 + q**2 + 80*q**3 + 78*q - 78*q. -40*q**3 + q**2 Collect the terms in -32*g - 24*g + 83*g. 27*g Collect the terms in 396267684 - b**3 - 396267684. -b**3 Collect the terms in 17448*h**2 - 8723*h**2 - 8728*h**2. -3*h**2 Collect the terms in 5*m - 19*m + 9*m + 2*m + 9*m. 6*m Collect the terms in 1260*y**2 + 1238*y**2 - 2509*y**2. -11*y**2 Collect the terms in 1087366*k**2 - 2174719*k**2 + 1087363*k**2. 10*k**2 Collect the terms in -4109*x**3 + 3225 - 3225. -4109*x**3 Collect the terms in -66 - 634*y + 127 - 61. -634*y Collect the terms in 301*m - 85*m - 74*m - 73*m - 79*m. -10*m Collect the terms in -743*d - 507*d - 180*d - 82*d. -1512*d Collect the terms in -2865 - 2*h - h**2 + 2*h - 4133. -h**2 - 6998 Collect the terms in -2691*u + 922*u + 930*u + 850*u. 11*u Collect the terms in 1191*s**3 - 2232*s**3 + 1146*s**3. 105*s**3 Collect the terms in -3307 + 9941 - 3318 - 3310 - 39*b. -39*b + 6 Collect the terms in 40*o**3 + 111*o**3 + 28*o - 32*o. 151*o**3 - 4*o Collect the terms in 0*h**3 - 369*h**2 + 165*h**2 - 2*h**3 + 204*h**2 + 3*h**3. h**3 Collect the terms in 57*r + 266*r**2 - 138*r**2 - 136*r**2 - 57*r. -8*r**2 Collect the terms in -f**3 + 224*f**2 + 223*f**2 - 676*f**2 + 229*f**2. -f**3 Collect the terms in -219*j**3 + 22*j**3 - 51*j**3. -248*j**3 Collect the terms in -19655 + 19655 + 1615*h**2. 1615*h**2 Collect the terms in 42*w**3 - 339*w**3 - 146*w**3 + 42*w**3 - 175*w**3. -576*w**3 Collect the terms in -12*v + 0 + 42*v + 2 + 2*v. 32*v + 2 Collect the terms in 324*n - 324*n + 83*n**3 + 7*n**2 - 7*n**2. 83*n**3 Collect the terms in 603 + 570 + 569 + o - 1741. o + 1 Collect the terms in -6197*n**2 - 6394*n**2 + 12587*n**2. -4*n**2 Collect the terms in -65*g**3 + 24*g**3 + 17*g**3 + 22*g**3. -2*g**3 Collect the terms in -4*y + 20*y - 7*y - 4*y + 8*y. 13*y Collect the terms in 17*p - 7*p + 12 + 4*p**2 - 5*p - 2*p - 4*p. 4*p**2 - p + 12 Collect the terms in -248*p**3 - 6 - 4791*p + 4791*p. -248*p**3 - 6 Collect the terms in -5694 + 5694 + 3*s**2. 3*s**2 Collect the terms in -1018872*r - 1018864*r + 3056596*r - 1018864*r. -4*r Collect the terms in 5*f**2 - 1519424 + 1519424 - f**2. 4*f**2 Collect the terms in -8051 - 8*g**3 + 22*g**3 + 8051. 14*g**3 Collect the terms in 123*t**2 + 7195 - 5*t - 7195 - 2*t**3. -2*t**3 + 123*t**2 - 5*t Collect the terms in -19075 - 2*a**2 + 19075 + a**2. -a**2 Collect the terms in 11*h + 11*h + 167*h**3 - 201*h**3 - 22*h. -34*h**3 Collect the terms in 5818 - 5811 - 6*r**2 - 3*r**2. -9*r**2 + 7 Collect the terms in -491*o**3 + 253*o**3 - 520*o + 282*o**3 + 520*o. 44*o**3 Collect the terms in 2*h + 40*h - 49*h. -7*h Collect the terms in -47*w**2 - 761*w + 113*w**2 + 182*w**2 + 761*w. 248*w**2 Collect the terms in 98*u - 2*u**2 - 20*u**2 - 14 + 16 - 26*u. -22*u**2 + 72*u + 2 Collect the terms in 390560*u**2 - 3*u + 3*u - 390578*u**2. -18*u**2 Collect the terms in 29*o + 43*o + 38*o + 35*o - 70*o. 75*o Collect the terms in -430347*z + 4*z**2 + 6*z**2 + 430347*z + 8*z**2. 18*z**2 Collect the terms in -34*a**2 - 44*a**2 - 32*a**2 + 162*a**2 - 29*a**2. 23*a**2 Collect the terms in 5*p - 39 - 30 - 39 + 121 - 13. 5*p Collect the terms in 7*c**2 - 477 + 354 + 123. 7*c**2 Collect the terms in 408 - 132 - 137 - 138 + 15*g. 15*g + 1 Collect the terms in -124*s + 124*s + 40718*s**3. 40718*s**3 Collect the terms in -6145842*b + 6145842*b - 10*b**2. -10*b**2 Collect the terms in -27428*b + 13724*b + 13722*b. 18*b Collect the terms in 4 - 752*h**3 - 4 + 747*h**3. -5*h**3 Collect the terms in 64 + 25 + 4 + 7*f**2 - 32 + 42. 7*f**2 + 103 Collect the terms in d**2 - 9 + 2 + 6*d + 4. d**2 + 6*d - 3 Collect the terms in 2 + 4*x + 3*x + 0*x - 5*x + 3*x. 5*x + 2 Collect the terms in 7069078907 + 3*m - 7069078907. 3*m Collect the terms in 30 - 42*y + 0*y**2 - 24 + y**2. y**2 - 42*y + 6 Collect the terms in 257*c**3 - 370*c**3 + 106*c**3. -7*c**3 Collect the terms in 3*i**3 - i + i - 16185 + 16185. 3*i**3 Collect the terms in -16*h**2 + 8*h**2 + 6*h**2 - 117*h. -2*h**2 - 117*h Collect the terms in 876*v**3 - 292*v**3 - 292*v**3 - 50*v - 293*v**3. -v**3 - 50*v Collect the terms in 377*l**2 + 26*l**3 - 377*l**2 + 25*l**3 - 2. 51*l**3 - 2 Collect the terms in -t**2 - 4*t + 4*t - 3*t + 0*t - 2*t. -t**2 - 5*t Collect the terms in 52 + 54 + 30 - 3*o + 419. -3*o + 555 Collect the terms in 0 - 34*i**2 + 241*i**2 + 0. 207*i**2 Collect the terms in -26051*r**3 + 13088*r**3 + 13023*r**3. 60*r**3 Collect the terms in 1902844*v - 951476*v - 951365*v. 3*v Collect the terms in 87*b - 231*b + 76*b - 5 + 82*b. 14*b - 5 Collect the terms in 2719*i - 22711*i - 36400*i + 1. -56392*i + 1 Collect the terms in -38 + 43*r - 29 - 35 - 34 + 120. 43*r - 16 Collect the terms in 326757*v - 163335*v - 163422*v - v**3. -v**3 Collect the terms in -2*h**2 + 0*h**2 - 50*h**3 + h**2 + 3*h**2. -50*h**3 + 2*h**2 Collect the terms in 11*y**3 - 176*y**3 + 160*y**3 + 6*y**3. y**3 Collect the terms in 4*h**2 + h**2 + 90 + 47 - 137. 5*h**2 Collect the terms in 798*l**3 - 219*l + 219*l. 798*l**3 Collect the terms in 37 - 93 + 26 - 3*x + 30. -3*x Collect the terms in 55*o - 65*o + 24*o. 14*o Collect the terms in 66*l + 77*l + 24*l. 167*l Collect the terms in 10743*k**2 - 5279*k**2 - 5423*k**2 - 1. 41*k**2 - 1 Collect the terms in 64*r**2 - 34 + 56 - 24 + 25*r**2. 89*r**2 - 2 Collect the terms in -78*m**2 - 101*m**2 + 503*m**2 - 104*m**2 - 107*m**2 - 97*m**2. 16*m**2 Collect the terms in 193*z**2 - 327*z**2 - 150*z**2 - 917*z**2. -1201*z**2 Collect the terms in -1959*b - 6739*b - 4657*b. -13355*b Collect the terms in 17 + r**3 - 13 + 4 - 94*r**2 - 8. r**3 - 94*r**2 Collect the terms in 540*w**2 - 274*w**2 - 279*w**2 - 10. -13*w**2 - 10 Collect the terms in 318*y**2 - 311*y**3 + 315*y**
{ "pile_set_name": "DM Mathematics" }
(n/((n*n/(n/((n*n*((n/((n/(n*n**4/n))/n))/n)/n)/n*n)))/n)))/(n**29/n**(-6)) assuming n is positive. n**(-377/12) Simplify (a*a**2)**35*(a**4)**18 assuming a is positive. a**177 Simplify ((((n/n**(-2))/n)/n)**(-14/11))**(3/26) assuming n is positive. n**(-21/143) Simplify (((v*v**(-1)*v)**(-2/129))**(2/87))**35 assuming v is positive. v**(-140/11223) Simplify ((i*i**(5/4))/i*i*i**(-16)/i)/(((i*i/i**8*i*i)/i)/i)**(-46) assuming i is positive. i**(-1163/4) Simplify (y**(2/61)*y)/y*y**(-5/4)*y*y*y**(-1/13)*y**(-14) assuming y is positive. y**(-42169/3172) Simplify ((r**(1/2)*r)**(-2/5)*(r/(r**(-1/14)/r))/(r/(r/(r*r**(-8/5)))))**(-1/21) assuming r is positive. r**(-29/294) Simplify ((f/f**(-25))/((f*f/(f/((f**3*f)/f*f)))/f*f*f*f*f))/((f**5*f)/(f**24*f)) assuming f is positive. f**37 Simplify ((h/(h/h**(-9)))**(-2/37))**17 assuming h is positive. h**(306/37) Simplify (q**(-5))**(-9)/(q**(-14)/(q**(-2)/q)) assuming q is positive. q**56 Simplify (((y**3*y)/y)/(y**(-27)*y))/(y**(9/8))**(-3/2) assuming y is positive. y**(491/16) Simplify (((r**(-18)*r)/r**(-3/7))**26)**27 assuming r is positive. r**(-81432/7) Simplify i**(-13/2)/(i*i**(-34))*(i/(i*i**(-2)*i*i))/i**(-1/4) assuming i is positive. i**(107/4) Simplify ((u**12/((u*(u/(u*u/(u/((u/u**(1/7))/u))))/u*u)/u))**(9/2))**(-4/23) assuming u is positive. u**(-1494/161) Simplify ((g**(2/7))**(-30/13)/((g**(-1/7)/g)/(g*g*g/g**5*g)))**(-1/20) assuming g is positive. g**(47/1820) Simplify ((k*k/(k/(k**(6/11)/k)*k)*k)**(-2/93))**(-45) assuming k is positive. k**(180/341) Simplify (t/t**(-4/9))**(19/6)*(t**(1/9))**25 assuming t is positive. t**(397/54) Simplify b**(4/5)/(b*b/(b/(b**11/b*b)))*b*b**(-5/4)*b**(-3)/b assuming b is positive. b**(-309/20) Simplify (z*z**(-7))/(z*z/((z*z**9)/z))*z/(z/(z*z**(-1)))*z**(1/2) assuming z is positive. z**(3/2) Simplify (q/(q/(((q*q**(-1)/q)/q)/q)))/((q/(q**(-2/19)*q))/q)*(q/q**(-12))/q*q**(-7) assuming q is positive. q**(55/19) Simplify (w*(w*w**(-3/8)/w*w)/w)/w**12*(w/w**(-1/2))/((w**(2/17)*w)/w) assuming w is positive. w**(-1359/136) Simplify ((s**5*s)/(s**(-1/4)/s*s*s))/(s*s**12/s*s/s**(-6)*s) assuming s is positive. s**(-59/4) Simplify (((y/(y/((y**(1/3)*y)/y)*y))/y)**(-7/10)*(y**3)**40)**(2/97) assuming y is positive. y**(727/291) Simplify ((q*q/(q**(-5)*q)*q**(-2/17)*q)/((q*q**5)/(q/(q*q**(3/2)*q*q))))**(28/5) assuming q is positive. q**(-1246/85) Simplify (q**18/q*q**(-9))/(q/(q*q/(q*q**(-3/10)*q)))**(4/9) assuming q is positive. q**(346/45) Simplify (m**(-5/3)*m*m/(m*m**(-5)*m))/(m/(m*m*(m/(m*(m/((((m*m**1*m)/m)/m)/m))/m))/m*m))**(-6) assuming m is positive. m**(-8/3) Simplify a**(-4)*a/a**(-23)*((a/a**(-9))/a)**(-16) assuming a is positive. a**(-124) Simplify (((c/c**(-1))/c)**(1/80)/(c**0*c)**(-7))**(-13) assuming c is positive. c**(-7293/80) Simplify (p**(1/7)*p)**(-2/37)/((p/(p**(-3/2)*p))/p**(-6)) assuming p is positive. p**(-3917/518) Simplify (((a/((a/a**9)/a*a))/(a/(a**2/a)))**44)**(-3) assuming a is positive. a**(-1188) Simplify ((w**(-5)/(w/(w/(w*w**(-1/2)))))**(2/63))**16 assuming w is positive. w**(-176/63) Simplify m**16*m/(m**(-2/35)*m)*(m*m*m**24)/m*m/m**(11/7) assuming m is positive. m**(1417/35) Simplify ((w*w/((w/(w/(w**(-7)/w)))/w))/w*w*w*((w/((w*w**(-3)/w)/w))/w*w)/w*w/w**(2/13)*w/(w*(w/(w*(w**(2/7)*w)/w))/w))**(-9) assuming w is positive. w**(-14850/91) Simplify (((u/u**3)/u)/(u**(-3/7)*u)*(((u*u/(u/(u*u**(-8))))/u)/u)/((u**(-1/4)*u)/u*u))**(1/24) assuming u is positive. u**(-115/224) Simplify (s*(s**(-24)*s)/s*s*s*s**(-7/5))/(((s**(1/10)*s)/s)/(s**(3/5)*s)) assuming s is positive. s**(-209/10) Simplify (y**(-10/9)*y/y**(-32))**24 assuming y is positive. y**(2296/3) Simplify ((u/(u*u*u/(u**6*u)))/u*u/(((u*u**(4/5))/u)/u)*u*u**(3/4)/((u**(1/3)*u)/u))**(-9) assuming u is positive. u**(-1191/20) Simplify (p/(p*p*p**(-1)))**(-3/17)*p**0/(p**(-14)*p) assuming p is positive. p**13 Simplify y**14*y*y*y**(2/7)*(y/y**(-16)*y)/(y/y**0) assuming y is positive. y**(233/7) Simplify (f**(-4))**40/(f*f**(-14)*f**(2/17)) assuming f is positive. f**(-2501/17) Simplify (m/m**0)**40*(m*m**(-4)*m*m*m*m)**(-44) assuming m is positive. m**(-4) Simplify (b**12/b**(2/5))/(b/(b*b**(-1/12))*b**(-11)*b) assuming b is positive. b**(1291/60) Simplify l**5/(l*l**6*l)*(l*(l*l*l**(-1/5))/l)/l*l**19 assuming l is positive. l**(84/5) Simplify ((m*(m/m**(-19))/m)/m**(-2/37))/(m**(-32)*m**(-24)) assuming m is positive. m**(2814/37) Simplify (i**(1/21)/(i*i*i*i*(i**(-1/13)*i*i)/i))/(i**(-2/19)*i*i**19*i) assuming i is positive. i**(-133670/5187) Simplify (v**(-2)*v)**(-9/2)*v**(1/10)*v*v**(-7)/v*v assuming v is positive. v**(-7/5) Simplify ((y*y**(4/5)*y)/y**(-3/11)*y**8/(y**(-7)/y*y))**(2/11) assuming y is positive. y**(1988/605) Simplify (b/(b/b**20*b)*b)/(b**(2/27)/b*b)*b**(-14)/b**(-17) assuming b is positive. b**(619/27) Simplify ((((r**0/r)/r)/r)/r)**(-46)/(r**(-9)/(r/(r/(r/r**(-3/4)*r)))) assuming r is positive. r**(783/4) Simplify ((g*(g/((g/(g*g/((g*g**10*g*g*g)/g)))/g))/g*g)/g*g**(-3)/g*g)/((g*g**(1/3)/g)/g*g**(-13)) assuming g is positive. g**(2/3) Simplify f*f/f**(-15)*((f/f**9)/f)/f*(f/f**(-3))/f**3 assuming f is positive. f**8 Simplify (((y**(3/5))**(-46))**(15/7))**(-28/9) assuming y is positive. y**184 Simplify (d/(d*(d*d**14)/d)*d**(-1))/(d**(2/3)/d**(-13)) assuming d is positive. d**(-86/3) Simplify ((x**(2/11)/x)/x**(-26))/(x/(x/(x/(x**(-4/3)/x))*x))**39 assuming x is positive. x**(-724/11) Simplify (k**(2/9))**(-13)/(k/((k*k**(-2)/k*k*k*k)/k))**(-25) assuming k is positive. k**(199/9) Simplify (d**(-2)/d)**(-26)/(d**(-14)/((((d*d**(-3/14)/d*d)/d)/d*d*d)/d*d)) assuming d is positive. d**(1299/14) Simplify (h**40/(h*h*h*h*h/(h*h*h**(-2/5))*h))**(-18) assuming h is positive. h**(-3204/5) Simplify (f**(-22)*f)/(f*f*(f/f**(-4/9))/f)*f**(-4/13)/(f/((f*f*f**(2/7))/f)) assuming f is positive. f**(-19219/819) Simplify ((h**(-9/4))**31)**(28/9) assuming h is positive. h**(-217) Simplify x**(1/20)*x*x*x/(x*x**(-1/6))*x**(-3)/(x*(x/(((x/x**12*x)/x*x)/x))/x) assuming x is positive. x**(-767/60) Simplify ((r*r/((r*r*r**(-4))/r))/r*r/(r*r/r**(2/11))*(r**(-3/5)/r)/(r/(r**(-5)/r)))**(-2/145) assuming r is positive. r**(596/7975) Simplify ((i/i**11)/i*i**5*i*i**(-4)*i*i*i**(1/9))**34 assuming i is positive. i**(-2108/9) Simplify ((h**(-4/11)*h)/(h*h/(h**(1/14)/h)*h*h))/(h*h**8*h*h**(-18/5)) assuming h is positive. h**(-8233/770) Simplify o**(1/6)*o/(o**(-12)/o)*o*(o**(-2/9))**17 assuming o is positive. o**(205/18) Simplify (k**(-2/17)/k*k)/(k*k*k*k*k*k**(-24)*k*k)*k*k**15*(k*(k*k**(-22))/k)/k assuming k is positive. k**(185/17) Simplify (r**(-2/7))**46*(r**(-2/13))**22 assuming r is positive. r**(-1504/91) Simplify (((x**(2/7))**(-20))**(-48))**27 assuming x is positive. x**(51840/7) Simplify (m**(-3/8))**(-6)*(m*m**(-8/5)*m)/(m**(-1/3)*m*m) assuming m is positive. m**(59/60) Simplify a**(-27)*a**6*a**(-19)/a*a*a**(1/12) assuming a is positive. a**(-479/12) Simplify (i/(i**(2/3)*i)*i*i**(-37))**(-41) assuming i is positive. i**(4510/3) Simplify (b*(b*b*b*b*b/(b*b/(b**(3/14)/b*b)*b)*b)/b*b)/b**(1/4)*b/b**(-13)*(b/b**(-1/12)*b)/b assuming b is positive. b**(400/21) Simplify ((a/(a/(a*(a/(a*a**0/a))/a)))/a)**(9/4)*a**(-7/6)*a**10 assuming a is positive. a**(53/6) Simplify ((o**(1/2)/(o**(2/7)/o))/(o**4*o**(-2/3)/o*o))**(-1/10) assuming o is positive. o**(89/420) Simplify (x*x**(1/2))**(-2/9)/(((x*x*(x*x*((x*x/x**(-5)*x*x)/x)/x)/x*x*x)/x)/(x**(3/11)/x)) assuming x is positive. x**(-398/33) Simplify (p/(p/(p**(-10)/p))*p**24*p)**(-17/5) assuming p is positive. p**(-238/5) Simplify (w*w/((w**2/w*w)/w))**(-3/32)*w*w**8*w**(-1/2) assuming w is positive. w**(269/32) Simplify (w**(5/3)*w)**(-1/5)/(w**(4/11)/w*w)**43 assuming w is positive. w**(-2668/165) Simplify (s**3)**(-1/3)/(s/(s/(s**(-2/9)/s)*s)*s)**48 assuming s is positive. s**(173/3) Simplify (m**(-12)/((m*m*m**(-3/10))/m))/((m**(-9)/m)/m*m**(6/17)*m) assuming m is positive. m**(-519/170) Simplify g**(-24)/(g**(-5/3)*g)*(g*g**(2/15))/g*g/(g*g/g**5*g) assuming g is positive. g**(-101/5) Simplify ((u*(u**20/u)/u)/u*u**5/u)/((u*u*(u*u**(-1/8))/u*u)/((u**(-9)/u)/u*u)) assuming u is positive. u**(73/8) Simplify (b**2/b**21)/(b*((b**(-2/87)*b*b)/b)/b*b*b**(5/6)) assuming b is positive. b**(-1265/58) Simplify (y*y**(-6/5)*y*y*y*y*
{ "pile_set_name": "DM Mathematics" }
u*n**4 + g + t*n and give v. 2 Rearrange (1 + 3 - 1)*(-532 + 311 + 1339)*(h + 0 + 0) to the form s*h + m and give s. 3354 Rearrange 5*n**3 - n**4 + 0*n**2 - 4*n**3 + 432*n + 4*n**2 - 433*n to the form x*n**2 + k + r*n + z*n**4 + i*n**3 and give r. -1 Express -9*f - 13*f - 19*f + 14*f**2 + f**3 - 16*f - 7 + 59*f as i*f**2 + n*f + d*f**3 + m and give n. 2 Express (-3*n - 47*n + 3*n + (3 + 2 - 7)*(n + 2*n - 2*n))*(-2*n + 4*n - 5*n) as l + i*n + w*n**2 and give w. 147 Rearrange 46*a + 10*a + 1 - 1 - 14*a to j*a + c and give j. 42 Rearrange (4*k**2 + 5*k**2 - k**2)*(-551 + 1076 - 537) to n + y*k**2 + q*k and give y. -96 Rearrange -11136 + 11136 + 210*x to q*x + f and give f. 0 Express -2*t**2 + 5473*t - 4*t**4 - 5471*t + t**3 + 5*t**2 - 9 + 3*t**4 in the form k*t + h*t**3 + l*t**4 + x + d*t**2 and give x. -9 Rearrange -1 - y**3 - 21*y + 18*y + 3*y - 13*y**2 to the form b*y**2 + o*y**3 + g*y + z and give b. -13 Rearrange (j - 6*j - 6*j)*(-6*j - 16*j - 37*j) to c*j**2 + h + g*j and give c. 649 Rearrange 184*m**4 - 51*m**4 + 5*m**3 - m - 4*m**3 - 2*m**2 - m + 33*m**4 to the form z*m**3 + l*m + y + p*m**4 + o*m**2 and give l. -2 Express -403*k**4 - 2*k**2 - 14*k + 3*k**3 - k**3 - 1 + 404*k**4 as n*k**3 + z + o*k**4 + v*k + d*k**2 and give d. -2 Rearrange (0*l**3 + 5*l**3 + l**3)*(-33 - 43 - 44) to the form d*l**3 + y*l + h*l**2 + b and give d. -720 Rearrange (2 + 2 + 0)*(-2*f + 0*f + 0*f)*(-5*f + 5*f - 8*f)*(4 - 2 - 3) to a + h*f + s*f**2 and give s. -64 Express 6*p - 4*p - 3*p - 2*p + 2*p + 6*p + 7 - 7 - 2*p + (-5 + 2 + 1)*(3*p - 4*p + 2*p) + (-3 + 1 + 3)*(-2 - p + 2) - 3 + 3 - p in the form u + w*p and give w. -1 Express 234*l + 10*l + 149*l in the form f + w*l and give w. 393 Express (34*u - 22*u - 16*u)*(8*u + 134*u - u) in the form g + x*u**2 + d*u and give x. -564 Express 0*j - 18*j**2 - j + 59*j**2 - 3*j - 28*j**2 in the form m*j**2 + n + t*j and give m. 13 Express (0*v + 0*v + v)*(-17*v**2 + 816427*v - 816427*v - 11) in the form u*v + c*v**2 + z*v**3 + w and give z. -17 Rearrange -66*o**2 - o + 2*o + 272 - 63*o**2 + 130*o**2 to h*o**2 + y*o + s and give h. 1 Rearrange -v - 237 - 30*v**4 + 390 - 149 - 2*v**3 to the form b*v**3 + z*v + r + m*v**2 + o*v**4 and give o. -30 Rearrange (-45*y - 4*y + 15*y - 16*y - 2*y)*(-6*y - 2*y + 5*y) to the form t + n*y**2 + i*y and give i. 0 Express -16*u - 2*u - u - 2 - 15*u in the form o*u + y and give y. -2 Express (-2*y**4 + y**2 - y**2)*(4 - 1 - 2 + (1 - 3 + 0)*(1 + 2 - 5) + 19 + 15 + 5)*(2 + 0 + 0) in the form d*y**4 + h + l*y + b*y**2 + w*y**3 and give d. -176 Rearrange 23 - 34 + 4 + 19*g to the form h*g + l and give h. 19 Rearrange (0*k - k + 3*k)*(5 - 1 - 3) + k - k + 3*k + 31*k - 6*k + 38*k - 10*k to h*k + x and give x. 0 Rearrange -58*k**4 - k**4 + k**2 + 14 + 61*k**4 - k**3 + 3*k to l*k**4 + h*k + j*k**3 + c + q*k**2 and give h. 3 Rearrange -92*t - 105*t + 34*t - 111*t - 67*t to the form n + l*t and give l. -341 Express 11*o - 16*o**2 + 2 - 11*o - 3*o**2 - 15*o**2 in the form l*o + r + v*o**2 and give v. -34 Rearrange 360*y**3 - 381*y**3 + 2 + 495*y**3 to the form f + w*y**3 + a*y + p*y**2 and give f. 2 Express (1 - 3809*n + 4 + 3816*n)*(4 - 6 + 4) in the form a + c*n and give c. 14 Rearrange -41*w**3 - 175*w + 9 + 47*w**3 + 174*w to the form o*w**3 + u*w**2 + k + p*w and give p. -1 Express -3063*d**4 + 7*d**2 + d + 7 - 4 + 3062*d**4 as q*d**2 + s*d**3 + h + g*d + w*d**4 and give q. 7 Rearrange -9*s + 7*s + 7*s**3 + 3*s**4 - 8*s**3 + (-2*s**3 + 4*s**3 - 3*s**3)*(96*s - 51*s - 50*s) to b*s + a*s**4 + d*s**2 + m*s**3 + f and give a. 8 Express -26*f - 120*f - 3 - 3 + 30*f - 60*f as i*f + z and give z. -6 Rearrange b**3 - 149645*b + 2 - 3*b**2 + 149645*b to x + o*b + c*b**3 + d*b**2 and give x. 2 Rearrange -4 - 124*k**3 + 28*k + 46*k - 72*k to i*k**3 + p*k**2 + x + l*k and give l. 2 Express -2 - 27*u + 57*u + 66*u + 17*u as b*u + q and give q. -2 Rearrange (4 - 5*z - 4)*(-11 - 6 - 6)*(-4*z + 4*z - 2*z) to r*z + w*z**2 + d and give w. -230 Express (x + 3*x - 3*x)*(29*x + 52*x + 15*x) + (-x**2 + 2*x**2 - 3*x**2)*(-3 + 1 + 4) + (7 - 7 - 7*x)*(-2*x + 0 + 0) as f*x + h + v*x**2 and give v. 106 Express -4*s**3 - 6 + 8 + s**3 + 1 in the form n*s**3 + k*s + c + w*s**2 and give n. -3 Rearrange (-3*p + 3*p - p**2)*(p + 2*p - p) + (1263 + 84*p - 1263)*(4 - 4 + 2*p**2)*(4 - 8 - 3) to the form u + i*p**3 + h*p + t*p**2 and give i. -1178 Rearrange 7*i**2 - 1 - 42*i**2 + 26*i**2 + 8*i**4 to x*i**3 + b*i**4 + y + c*i + l*i**2 and give b. 8 Rearrange 243 - 3*o - 2*o**3 + 243 - 493 + 2*o**4 to x*o**3 + r*o**4 + i*o + n + y*o**2 and give n. -7 Express -30495 + 30495 + 359*o**2 + 210*o**2 as s*o + v + z*o**2 and give z. 569 Rearrange -70 - 120 + 21 - 8 - x**2 to y + u*x + c*x**2 and give y. -177 Rearrange 34 - 1645*q - 67 + 433*q + 33 to the form h*q + b and give h. -1212 Express (2*y - y - 2*y)*(0 - 5 + 3)*(-51 - 233 - 65) as f*y + g and give f. -698 Rearrange 6*n**4 + 11*n**4 - 2 - 3 + 7*n + 2 - 15*n**4 to m*n**4 + k + w*n**3 + h*n**2 + u*n and give u. 7 Express -7*t + 2*t**3 + 7*t - 3 - 243*t**2 - 2*t**4 + 207*t**2 in the form x*t**2 + q + o*t**3 + h*t + d*t**4 and give o. 2 Express 14 + 9 - 335*k**2 - 23 as r*k + a*k**2 + n and give a. -335 Rearrange 272*z**3 - 270*z**3 + 21*z + 13*z - 96*z**2 + 93*z**2 to i + m*z**2 + r*z + p*z**3 and give m. -3 Rearrange -2*j - j**2 + 29*j**4 - 50*j**4 + 23*j**4 - 2*j**3 to the form g*j**2 + d*j**3 + q*j + p + c*j**4 and give d. -2 Rearrange f**2 - 7 + 1041*f - 1041*f + (-3 + 2 + 0)*(3*f + 2*f**2 - 3*f) to g + l*f**2 + r*f and give g. -7 Express (5 - 10 - 15)*(q + 3*q - 2*q)*(1 - 3 + 6)*(8 - 4 - 5) in the form b + i*q and give i. 160 Rearrange -3*w - 1 + 2 - 1 + 1 - 4*w**2 to the form a*w + j*w**2 + o and give a. -3 Express 15 - 408*h**2 - 29 - 2*h + h + 13 + 431*h**2 in the form o + f*h + r*h**2 and give r. 23 Express -y**2 + 12*y**4 - 4*y**2 - 6 - 7*y**4 in the form q*y**3 + l*y**2 + a + d*y + j*y**4 and give l. -5 Rearrange 48*a**2 - 35 - 48*a**2 - a + 81*a**3 - 70*a**3 to the form v*a**2 + i + f*a + u*a**3 and give u. 11 Express (162 - 50 - 31)*(4*x**2 - 4*x**2 + 3*x**2)*(-2*x**2 + 0*x**2 + 0*x**2) as a + q*x**3 + s*x + b*x**4 + f*x**2 and give q. 0 Rearrange 3*o**2 - 1 - 25*o**4 - 24 + 23 - o**3 to w*o**4 + v + i*o**3 + y*o**2 + b*o and give w. -25 Express -2*g - 33*g**3 + 43*g**2 - 34*g**2 - 3 + 33*g**3 - 2*g**4 + 54*g**2 in the form z*g**4 + l*g**2 + j*g**3 + q + m*g and give l. 63 Rearrange -62 - 137*s + 62 - 208*s to the form n*s + m and give n. -345 Express 1857*o - o**3 - 928*o - 117*o**2 - 931*o as t*o + i*o**3 + l + r*o**2 and give i. -1 Rearrange (6*c**2 - 2*c**2 - c**2)*(2*c**2 - 4*c**2 + 0*c**2) + 5224*c**2 - 5224*c**2 - 228*c**4 to p*c**4 + m*c**3 + a + q*c**2 + u*c and give p. -234 Rearrange 1382*u - 2767*u + 1385*u + 601*u**2 to the form f + b*u**2 + p*u and give b. 601 Rearrange (-87 + 7 - 29)*(-a + a - a**3 + (-2*a + 2*a + a)*(-5*a**2 + 3*a**2 + a**2)) to i*a**3 + y*a**2 + f*a + p and give i. 218 Express 3*x + 133*x**2 - 6*x - 1366 + 1366 in the form y + k*x + t*x**2 and give t. 133 Rearrange (-48 - 42 + 76 + v)*(-2*v + 2*v - v**2) to the form p*v + a*v**2 + b*v**3 + j and give a. 14 Express (-2*u + u + 9*u)*(571 - 571 + 197*u) as l + j*u**2 + r*u and give j. 1576 Express 6*g - 1216*g**2 - 16*g - 2*g + 12*g as y*g**2 + c + v*g and give y. -1216 Rearrange (-3159 + 181*q + 3159)*(2 + 0 - 3) to j*q + t and give j. -181 Rearrange (78 - 330 - 171)*(t**2 + t**2 - 3*t**2) to a*t + k + j*t**2 and give j. 423 Rearrange 2*z - 47 - z**3 + 49 + 5*z**4 - 485*z**2 + 485*z**2 to y + d*z + v*z**2 + k*z**4 + b*z**3 and give b. -1 Express (-14*w - 8*w + 5*w)*(3*w + w + 1 - 5*w) in the form z*w**2 + d*w + k and give z. 17 Express -760*n + 161*n - 1101*n as t + s*n and give s. -1700 Express -4*p - 29 - 27 + 47*p**2 + 56 in the form j*p + t + c*p**2 and give c. 47 Rearrange (6 - 6 - 3*w)*(518*w**2 - 230*w**2 + 137*w**2) to the form i*w**2 + s*w + g + t*w**3 and give s. 0 Rearrange 92*t**2 + 118*t**2 - 1536*t**2 - 255*t**2 to the form d + k*t + v*t**2 and give v. -1581 Express (0*k + k - 5*k - k - 2 + 2 + 0*k - 4*k + 5*k + (3*k - 3*k - 2*k)*(-1 + 1 - 1))*(54 - 182 - 28) in the form r + d*k and give d. 312 Rearrange -80*k + 410*k + k**2 - 4*k**2 + 543*k + 2*k**2 to the form a + x*k
{ "pile_set_name": "DM Mathematics" }
r + 235. What is g(75)? 10 Let q(b) = 6*b**3 - 95*b**2 - 14*b - 43. Determine q(16). -11 Let d(j) = -8*j**3 + 65*j**2 - 93*j - 37. Give d(6). 17 Let k(i) = 7*i - 29. Calculate k(21). 118 Let h(b) = b**3 - 7*b**2 + 10*b - 19. What is h(7)? 51 Let x(w) = 13*w**2 + 4*w + 3. Calculate x(-3). 108 Let k(m) = -57*m**2 + 22*m + 85. What is k(-3)? -494 Let q(h) = 3*h**3 - 7*h**2 + 20*h - 103. What is q(5)? 197 Let l(d) = -35*d - 118. Give l(-5). 57 Let z(o) = -o**2 - 23*o + 197. Give z(-30). -13 Let o(d) = 2*d**3 + 111*d**2 - 57*d - 29. What is o(-56)? 27 Let a(y) = 9*y**2 + 38*y - 90. Calculate a(3). 105 Let o(g) = 170*g - 2395. Calculate o(14). -15 Let m(s) = s**3 - 6*s**2 - 9*s + 17. What is m(5)? -53 Let u(o) = 152*o + 1532. Calculate u(-10). 12 Let g(j) = -j**3 - 21*j**2 - 14*j + 198. What is g(-21)? 492 Let g(v) = -v**2 - 11*v + 228. Determine g(-17). 126 Let j(p) = 2*p**2 - 310*p + 1503. Determine j(5). 3 Let l(g) = 296*g + 657. Calculate l(-3). -231 Let p(x) = -x**2 + 1696*x - 36832. Calculate p(22). -4 Let t(x) = 15485*x + 123888. What is t(-8)? 8 Let b(j) = 22*j**2 + 95*j + 10. What is b(-4)? -18 Let u(r) = -2*r**2 - 36*r - 140. Calculate u(-10). 20 Let g(h) = 2*h**2 + 15*h - 558. What is g(-21)? 9 Let d(t) = 278*t**2 + 115*t - 113. Calculate d(1). 280 Let p(q) = -628*q + 6284. Calculate p(10). 4 Let h(r) = -11*r**3 + 2*r**2 - 21*r + 31. Give h(2). -91 Let m(o) = 2*o**2 + 36*o + 71. What is m(-2)? 7 Let u(s) = s**2 + 1554*s + 20027. Calculate u(-13). -6 Let d(i) = -22*i - 136. Calculate d(-9). 62 Let i(u) = -28*u**2 - 441*u - 20. What is i(-16)? -132 Let w(m) = 101*m + 575. Calculate w(-6). -31 Let j(b) = 22*b**2 - 4*b + 2. Calculate j(-1). 28 Let h(x) = -145*x + 83. What is h(7)? -932 Let v(l) = -2*l**3 - 208*l**2 - 410*l - 199. What is v(-102)? 5 Let f(m) = -2*m**2 - 62*m - 101. What is f(-26)? 159 Let a(f) = 9*f**3 - 39*f**2 - 6*f + 19. Calculate a(5). 139 Let z(u) = -u**2 + 35*u - 236. Calculate z(9). -2 Let s(r) = -2225*r - 11043. Determine s(-5). 82 Let j(b) = b**2 - 133*b + 876. What is j(126)? -6 Let r(i) = -i**3 - 7*i**2 + 590*i + 3569. Give r(-6). -7 Let d(l) = 23*l**2 + 6*l + 7. Calculate d(-2). 87 Let s(i) = 7*i**2 - 277*i + 115. Determine s(39). -41 Let b(u) = 2*u**3 + 16*u**2 + 44*u + 62. Determine b(-5). -8 Let c(s) = 2*s**3 + 18*s**2 + 40*s + 181. Give c(-8). -11 Let s(d) = 8*d - 139. Give s(17). -3 Let i(w) = 2*w**2 - 59*w - 55. What is i(29)? -84 Let x(c) = -15*c + 127. Give x(21). -188 Let a(z) = -5*z**2 + 15*z + 2. Determine a(2). 12 Let o(u) = -101*u + 542. Give o(6). -64 Let d(w) = -203*w + 1486. Determine d(6). 268 Let q(g) = -6*g**3 - 155*g**2 + 570*g + 14146. Calculate q(-26). 2 Let l(j) = -2*j**3 - 80*j**2 - 493*j + 617. Determine l(-32). 9 Let f(a) = a**2 + 16*a - 28. Determine f(3). 29 Let m(s) = 1875*s + 28084. What is m(-15)? -41 Let i(b) = 2*b**3 + 44*b**2 - 10*b + 11. Calculate i(-22). 231 Let a(x) = 5*x**3 - 57*x**2 + 67*x + 36. What is a(10)? 6 Let g(y) = 2*y**2 + 49*y + 23. Give g(-25). 48 Let x(z) = -1147*z + 8019. What is x(7)? -10 Let l(f) = 51*f**2 + 763*f - 28. Give l(-15). 2 Let a(j) = j**2 + 47*j - 1972. Determine a(-74). 26 Let u(j) = -4*j**2 - 10*j - 8. Determine u(-2). -4 Let c(n) = n**3 + 42*n**2 - n - 27. What is c(-42)? 15 Let y(u) = -238*u - 1857. Determine y(-8). 47 Let c(h) = 392*h + 74476. Determine c(-190). -4 Let x(c) = c**3 + 14*c**2 - 21*c - 322. Calculate x(-14). -28 Let n(m) = 15*m - 172. What is n(14)? 38 Let b(f) = 2*f**3 + 24*f**2 - 17*f - 17. Calculate b(-13). -134 Let g(f) = -693*f - 5460. Give g(-8). 84 Let s(o) = 2*o**2 - 136*o - 855. Give s(-6). 33 Let i(r) = -r**2 + 32*r - 187. Determine i(22). 33 Let f(y) = -41*y + 9582. Determine f(234). -12 Let f(n) = -n**3 + 4*n**2 + 179*n + 203. Calculate f(16). -5 Let z(q) = -9*q**2 + 4*q + 32. Give z(-2). -12 Let t(g) = -g**2 - 114*g - 1013. Give t(-10). 27 Let q(m) = 2997*m - 107. What is q(0)? -107 Let k(d) = -101*d - 194. Give k(-5). 311 Let b(o) = 265*o**2 - 1065*o + 71. What is b(4)? 51 Let u(b) = -b**2 + 97*b + 2027. Determine u(-17). 89 Let w(u) = u**3 + 5*u**2 - 61*u - 375. Calculate w(-7). -46 Let r(b) = 2*b**2 + 91*b + 142. Calculate r(-44). 10 Let c(v) = -v**2 + 6*v + 24. What is c(-7)? -67 Let t(z) = -z**3 + 4*z**2 + 28*z - 45. Determine t(10). -365 Let r(c) = -7*c - 405. Calculate r(-26). -223 Let k(j) = -33*j**2 + 80*j - 46. Calculate k(1). 1 Let k(w) = w**2 - 30*w - 166. Calculate k(35). 9 Let z(r) = -9*r**2 - 197*r - 348. Calculate z(-20). -8 Let i(g) = 1180*g**2 - 80239*g - 63. Determine i(68). 5 Let i(n) = 2*n**3 - 18*n**2 - 4*n - 2. Determine i(10). 158 Let m(v) = v**3 + 10*v**2 - 31*v - 59. Calculate m(-12). 25 Let z(b) = -2*b**2 - 65*b - 222. Give z(-28). 30 Let q(a) = 113*a - 1697. Give q(15). -2 Let b(k) = k**3 - 8*k**2 - 36*k - 32. What is b(-5)? -177 Let p(m) = m**3 + 21*m**2 - 6*m - 13. Give p(-21). 113 Let o(v) = v**3 - 5*v**2 + 15*v - 173. What is o(8)? 139 Let a(y) = y**3 + 19*y**2 - 91*y + 6. Calculate a(0). 6 Let v(p) = -p**3 + 11*p**2 + 40*p - 3. Calculate v(13). 179 Let s(o) = -4*o + 23. What is s(6)? -1 Let b(t) = -2*t**2 - 28*t + 1585. Give b(22). 1 Let z(l) = -l**2 + 45*l + 1804. Give z(71). -42 Let x(f) = -f**3 + 43*f**2 - 444*f - 145. Calculate x(25). 5 Let l(q) = 105*q + 223. What is l(-3)? -92 Let y(w) = -w**2 + 516*w + 38411. What is y(-66)? -1 Let k(a) = 220*a - 35604. What is k(162)? 36 Let b(m) = 3*m - 48. What is b(-3)? -57 Let u(d) = -1022*d - 6134. Determine u(-6). -2 Let b(i) = -122*i + 3288. Calculate b(27). -6 Let z(x) = -428*x - 1904. Determine z(-4). -192 Let m(d) = -4*d**3 + 92*d**2 + 92*d + 83. Determine m(24). -13 Let c(n) = -361*n - 3262. Determine c(-9). -13 Let k(d) = d**2 + 22*d + 16. What is k(-20)? -24 Let r(o) = o**3 - 46*o**2 + 36*o + 463. Give r(45). 58 Let q(n) = -n**2 + 6*n + 109. Determine q(-9). -26 Let s(t) = 2908*t + 17443. Give s(-6). -5 Let t(y) = -y**2 - 93*y - 1467. Calculate t(-20). -7 Let y(q) = -2*q**2 + 232*q - 1498. Determine y(109). 28 Let i(z) = 21*z - 100. Determine i(6). 26 Let b(o) = -3*o + 212. Calculate b(55). 47 Let j(y) = -y**2 + 42*y - 343. Calculate j(8). -71 Let f(s) = -2*s**2 + 37*s + 30. Calculate f(19). 11 Let r(k) = -k**3 + 14*k**2 + 7*k + 5. Determine r(14). 103 Let o(n) = -n**2 - 221*n - 8305. Give o(-48). -1 Let i(j) = 145*j + 48. Give i(0). 48 Let h(i) = 31*i - 1156. What is h(31)? -195 Let c(p) = -13*p - 695. Calculate c(-54). 7 Let n(x) = -130*x - 5833. Determine n(-45). 17 Let r(y) = 222*y + 404. Determine r(-3). -262 Let m(h) = -11*h**2 - 62*h - 13. Calculate m(-7). -118 Let h(g) = -g**3 + 19*g**2 - 84*g - 55. Give h(11). -11 Let d(k) = 16*k + 1671. Calculate d(-104). 7 Let b(r) = -2*r**2 + 59*r + 31. Calculate b(19). 430 Let c(g) = -53*g**2 + 17*g. Calculate c(-3). -528 Let j(u) = -2*u**2 + 132*u - 492. What is j(62)? 4 Let u(g) = -313*g + 321. Calculate u(2). -305 Let f(u) = -19*u**2 - 512*u + 49. Determine f(-27). 22 Let p(o) = -2*o**3 + 5*o**2 - 3*o + 17. Determine p(4). -43 Let a(b) = 2236*b + 8938. Calculate a(-4). -6 Let y(x) = 3*x**2 - 87*x + 670. What is y(20)? 130 Let t(r) = -r**3 + 6*r**2 - 43*r - 2. Give t(6). -260 Let r(u) = 144*u + 4251. Calculate r(-29). 75 Let x(c) = c**3 + 356*c**2 - 307*c + 17852. Determine x(-357). 2 Let b(g) = 170*g + 143. Give b(-1). -27 Let m(x) = x**3 - 45*x**2 + 464*x - 10. Calculate m(16). -10 Let b(o) = -79*o + 1524. What is b(17)? 181 Let g(b) = -543*b - 7045. Give g(-13). 14 Let y(f) = 43*f - 1075. Determine y(25). 0 Let k(f) = 2*f**3 + 19*f**2 - 78*f - 480. What is k(-11)? 15 Let u(t) = -2*t**2 + 148*t + 302. Give u(76). -2 Let t(v) = v**3 + 24*v**2 + 75*v + 105. Determine t(-22). -577 Let z(x) = -41*x + 1739. Determine z(44). -65 Let l(h) = -2*h**3 - 67*h**2 - 39*h - 326. Calculate l(-33). -128 Let d(g) = -19*g + 128. Determine d(4). 52 Let r(t) = -t**3 + 52*t**2 + 7*t - 320. Determine r(52). 44 Let j(a) = a**3 - 22*a**2 - 245*a - 9. Determine j(-8). 31 Let u(z) = -128*z - 1782. Determine u(-14). 10 Let s(v) = v**3 + 10*v**2 - 28*v - 95. Calculate s(-12). -47 Let v(c) = -c**2 - 51*c - 616. What is v(-31)? 4 Let g(o) = 4*o**2 + 4*o - 9. Calculate g(-8). 215 Let p(i) = 12*i + 71. Calculate p(-12). -73 Let j(l) = -5*l**2 - 111*l - 440. What is j(-17)? 2 Let x(h) = -1668*h - 14946. Calcul
{ "pile_set_name": "DM Mathematics" }
2. -1439*l**2 Collect the terms in -74*d - 21*d - 95*d - 43*d. -233*d Collect the terms in 4*u**2 - u**2 + 74 - 1102. 3*u**2 - 1028 Collect the terms in -1493 + 2983 - 1495 - 7*y. -7*y - 5 Collect the terms in -64 - 9 + 6*n**3 - 22*n**3. -16*n**3 - 73 Collect the terms in 493*a**3 + 489*a**3 + 495*a**3 - 1972*a**3 + 501*a**3. 6*a**3 Collect the terms in 217898 + 2*u + u - 3*u - 217898 + 11*u**3. 11*u**3 Collect the terms in -126*p - 64*p + 159*p. -31*p Collect the terms in 66*k - 13*k - 17*k + 24 - 15*k - 20*k. k + 24 Collect the terms in 805*p + 1 - 2503*p + 805*p + 839*p. -54*p + 1 Collect the terms in 3 + 35334*y - 3 - 1029*y**2 - 35334*y. -1029*y**2 Collect the terms in 31 - 40*b**3 - 3*b**3 + 23*b**3 - 31. -20*b**3 Collect the terms in 243 - 174 + 0*h**3 + 2*h**3 - 69. 2*h**3 Collect the terms in -139*u - 3*u**3 + 0*u**3 + 939*u - 800*u. -3*u**3 Collect the terms in -27*j - 338 + 23*j - 33. -4*j - 371 Collect the terms in 31 - 31 - 18*a**3 + 12*a**3. -6*a**3 Collect the terms in -54*y + 1214 + 52*y - 1207. -2*y + 7 Collect the terms in -98*w - 81*w + 222*w. 43*w Collect the terms in -11*p - 7*p + 18*p - 62*p**2. -62*p**2 Collect the terms in 69 - 6*a + 6*a - 4*a**3 + 2*a**3. -2*a**3 + 69 Collect the terms in 2516*w**2 - 5785*w**2 + 3267*w**2. -2*w**2 Collect the terms in 702*b**2 - 767*b**2 + 1 - 1. -65*b**2 Collect the terms in 89727*g + 37 - 37 + 32603*g. 122330*g Collect the terms in -1 - 1046*w + 1 - 340*w. -1386*w Collect the terms in -18427973 + 18427973 - 8*o. -8*o Collect the terms in 65 - 58*d**2 + 31*d**2 - 117*d - 59 + 29*d**2. 2*d**2 - 117*d + 6 Collect the terms in -250*u**3 + u**2 + 5*u**2 + 845*u**3. 595*u**3 + 6*u**2 Collect the terms in -42*a**2 + 107*a**2 - 47*a**2 - 44*a**2. -26*a**2 Collect the terms in g + 43*g**2 - g - 20*g**2 - 22*g**2. g**2 Collect the terms in -3*s + 6*s - 553 + 1073 - 520. 3*s Collect the terms in 84*n**3 + 0*n**2 - n**2 - 76*n**3. 8*n**3 - n**2 Collect the terms in -200 - 6*c**3 - 180 + 111*c**3 + 380. 105*c**3 Collect the terms in 14*n - 4*n - 53*n + 5*n - 55*n. -93*n Collect the terms in -340*o**2 + 1021*o**2 - 339*o**2 + 4 - 346*o**2. -4*o**2 + 4 Collect the terms in 112 + 122*x**3 - 125*x**3 - 225 + 113. -3*x**3 Collect the terms in -154*b**2 + b - b + 325*b**2 - 156*b**2. 15*b**2 Collect the terms in -7*w**2 - 5*w**2 - 12*w**2 - 7*w**2 + 29*w**2. -2*w**2 Collect the terms in -6*b**2 - 1678 + 3353 - 1675. -6*b**2 Collect the terms in 1148*z**3 - 585*z**3 - 591*z**3. -28*z**3 Collect the terms in b + 11*b - 4*b + 10*b + 13*b. 31*b Collect the terms in 109*b - 161*b - 137*b. -189*b Collect the terms in -164*t - 164*t - 155*t - 156*t + 628*t. -11*t Collect the terms in -49285*t**2 + 98586*t**2 - 49272*t**2. 29*t**2 Collect the terms in 11548 + 2*w - 23105 + 201*w**3 + 11557 + 280*w**3. 481*w**3 + 2*w Collect the terms in 2275169 + 680*d**2 - 2275169. 680*d**2 Collect the terms in 814*o + 2956*o + 3126*o. 6896*o Collect the terms in 510*n - 1253*n - 121*n - 1201*n - 1478*n. -3543*n Collect the terms in 0 - 81066*v**2 + 81032*v**2 + 0. -34*v**2 Collect the terms in 23*f**2 + 12*f**2 - 18*f**2 + 6*f**2 + 30*f**2 + 2*f. 53*f**2 + 2*f Collect the terms in 174*g - 86*g - 336*g**3 - 88*g. -336*g**3 Collect the terms in -80 + 38 + 40 - 43*n**3. -43*n**3 - 2 Collect the terms in -678*v + 0*v**2 + 678*v + 0*v**2 - 126*v**3. -126*v**3 Collect the terms in 0 + 855*i**2 - 2 + 2. 855*i**2 Collect the terms in 3 - 87*k**2 - 81*k**2 + 4 - 12. -168*k**2 - 5 Collect the terms in -359*c**3 - 382*c**3 - 1031*c**3. -1772*c**3 Collect the terms in -341*y + 681*y - 234*y**3 - 67*y**3 - 340*y. -301*y**3 Collect the terms in -45*c**2 + 46*c**2 - 21*c**3 - 21*c**3 + 3*c**3. -39*c**3 + c**2 Collect the terms in 1931*h**3 + 1125*h**3 - 662*h**3. 2394*h**3 Collect the terms in 247*s**3 + 22 + 14 - 51 + 15. 247*s**3 Collect the terms in -3*x + 9*x**3 - 4*x + 7*x + 0*x**3 - 8*x**3. x**3 Collect the terms in -s + 0*s - 17*s**3 + 83*s**3. 66*s**3 - s Collect the terms in -756 - 730 - t**2 + 1486 - t**2. -2*t**2 Collect the terms in 26836*c + 3669*c - 890*c + 4898*c. 34513*c Collect the terms in -5*k**2 - 46*k**2 + 51*k**2 - 49*k**2 - 13*k**2. -62*k**2 Collect the terms in 19*y - 81*y + 18*y + 20*y + 21*y. -3*y Collect the terms in 807555*g + 1159*g**2 - 1160*g**2 - 807555*g. -g**2 Collect the terms in -174*r**3 + 83 - 34 - 49. -174*r**3 Collect the terms in 12*n + 3*n + n - 6*n + 11*n. 21*n Collect the terms in -6180 + 19*j**2 - 6092 + 12272 - j**2. 18*j**2 Collect the terms in 280*s**2 + 2*s + 4*s + 178*s**2 - 6*s. 458*s**2 Collect the terms in -1087*w + 2156*w - 1045*w. 24*w Collect the terms in 17*f + 6 - 36*f + 28 + 14*f - 42. -5*f - 8 Collect the terms in 98*z - 276*z + 107*z + 37*z. -34*z Collect the terms in -13*v + 0 + 7 + v + 13. -12*v + 20 Collect the terms in 57*p + 3*p**2 - 4*p**2 + 33*p**2. 32*p**2 + 57*p Collect the terms in 1203*q**2 - 1203*q**2 + 1176*q**3. 1176*q**3 Collect the terms in 9696 + 11*c**2 - 2*c**3 - 18*c**2 + 7*c**2 - 9696. -2*c**3 Collect the terms in -235*v + 3061*v**2 + 93*v**2 + 235*v. 3154*v**2 Collect the terms in -118183685 - 3*a + 118183685. -3*a Collect the terms in -4180*s - 21*s**3 + 4180*s. -21*s**3 Collect the terms in 3096 - 3096 - 1639*m**2. -1639*m**2 Collect the terms in -67*h - 121*h - 95*h. -283*h Collect the terms in -4806042 - 38*m**3 + 4806042 + 75*m**3 - 38*m**3. -m**3 Collect the terms in -1067 + 3317 - 3*g**2 - 1127 - 1123. -3*g**2 Collect the terms in 41 - 21*g**2 + 37 - 122 + 44. -21*g**2 Collect the terms in -13 - 63*d**3 - 132*d**3 + 13 + 1. -195*d**3 + 1 Collect the terms in -359*w + 280*w - 2018*w. -2097*w Collect the terms in 8*m**2 + 28 + 24 - 12*m**2. -4*m**2 + 52 Collect the terms in 1128*y**3 + 1698*y**3 - 2836*y**3. -10*y**3 Collect the terms in 18*a**2 + a**3 - 23*a**2 + 5*a**2. a**3 Collect the terms in 327*m + 405*m - 903*m + 171*m - m**3. -m**3 Collect the terms in 4 - 3 - 1 + 372*o. 372*o Collect the terms in -3*b - 5*b - 9*b - 368. -17*b - 368 Collect the terms in 15 - 7 + 122*t**2 - 6. 122*t**2 + 2 Collect the terms in -7*l - 6*l + 27*l - 8*l - 13*l. -7*l Collect the terms in 1913*m**2 + 2513*m**2 - 366*m**2. 4060*m**2 Collect the terms in 0*r**2 - 2*r**2 + 3*r**2 - 1 + 1901*r**3 + 67*r. 1901*r**3 + r**2 + 67*r - 1 Collect the terms in -63*n + 90*n - 78*n. -51*n Collect the terms in 214*u - 424*u + 225*u. 15*u Collect the terms in 2*d**3 + 10 - 11 + 15 + 31*d. 2*d**3 + 31*d + 14 Collect the terms in -7*k + 7*k - 463*k**3 - 452*k**3 + 920*k**3. 5*k**3 Collect the terms in -549 - 556 + 0*o - 2*o - 179 + 1284. -2*o Collect the terms in -204*y - 213*y + 631*y - 201*y. 13*y Collect the terms in 5*g + 8*g + 6*g + 2*g - 38*g. -17*g Collect the terms in 9*z**2 + 15 + 0*z**2 - z + 110 - 17. 9*z**2 - z + 108 Collect the terms in -12 + 14941*u + 11*u**3 - 14941*u. 11*u**3 - 12 Collect the terms in 1 - 1 + 1191884*k**2 - 1191886*k**2. -2*k**2 Collect the terms in 150*o**2 + 11*o + 12*o - 27*o + 3*o - 1. 150*o**2 - o - 1 Collect the terms in -176*o + 77*o + 76*o. -23*o Collect the terms in 163*r - 6*r**2 + 20*r - 182*r - r. -6*r**2 Collect the terms in -448 - 56 - 5*y - 1149 - 758. -5*y - 2411 Collect the terms in -593*h**3 - h**2 - 65*h**3 - 2*h - 2875*h**3. -3533*h**3 - h**2 - 2*h Collect the terms in -107 - 102 + 205*k + 298 - 89. 205*k Collect the terms in -1 + 16710*m + 1 - 42*m**2 - 16707*m - 9*m**2. -51*m**2 + 3*m Collect the terms in -9*k**3 + 3963*k - 3963*k. -9*k**3 Collect the terms in 2269*k - 4536*k + 2308*k. 41*k Collect the terms in d**2 - 10171*d - 2*d**2 + 633*d. -d**2 - 9538*d Collect the terms in 2855*a + 5404*a + 289*a. 8548*a Collect the terms in 4576*q + 4585*q - 9167*q. -6*q Collect the terms in -2172*v - 1001*v - 2082*v + 122*v. -5133*v Collect the terms in 0*t - 2153341 + t + 2153341. t Collect the terms in 110*s**2 + 13*s**3 + 11*s**3 + 16*s**3 - 42*s**3. -2*s**3 + 110*s**2 Collect the terms in -2 + 60369145*k + 2 - 60369139*k. 6*k Collect the terms in 99777*r**3 - 33258*r**3 - 33258*r**3 - 33257*r**3. 4*r**3 Collect the terms in 4*u - 2 + 17*u + 37*u - 11*u. 47*u - 2 Collect the terms in 4*b**2 - 2*b**2 + 4*b**2 + b**2 + 135568*b - 135568*b. 7*b**2 Collect the terms in -76*h**3 + 4*h + 0*h + 2*h**2 - 4*h**2. -76*h**3 - 2*h**2 + 4*h Col
{ "pile_set_name": "DM Mathematics" }
l**2 Let k(i) = -72*i**2 + i - 1. Let y(d) = -d**2 - d - 1. Determine k(q) + y(q). -73*q**2 - 2 Let r(s) = 6*s**3 + 3*s**2 - s - 1. Let u be r(1). Let i(w) = 9*w - 5. Let f(j) = 4*j - 2. Determine u*f(z) - 3*i(z). z + 1 Let m(h) = -12*h**2 + 3 - 9*h**2 - 9*h**2 - 6*h**3 + 34*h**2. Let g(i) = 17*i**3 - 11*i**2 - 8. Give -4*g(l) - 11*m(l). -2*l**3 - 1 Let z(c) = -c**2 + 1. Let s(b) = 2*b**3 - 22*b**2 + 5*b - 54. Let f be s(11). Let r(v) = 2*v**3 + 5*v**2 + 3*v - 5. Calculate f*r(d) + 5*z(d). 2*d**3 + 3*d Let f(z) = -523*z - 9. Let y(q) = 3663*q + 66. Give 22*f(l) + 3*y(l). -517*l Let x(v) = v + 1. Let t(g) = -3*g - 20. Let p(m) = -m - 21. Let d(n) = -2*p(n) + 3*t(n). Determine -d(r) - 5*x(r). 2*r + 13 Let g(j) = 20*j - 14. Let q(x) = 13*x - 9. Suppose 4*i = -o - 21, -2 = o - 3*o + 3*i. Give o*g(b) + 8*q(b). 4*b - 2 Let v(w) = -4*w**2 - w - 5. Suppose 5*h - 18 - 92 = -17*h. Let p(y) be the first derivative of -2*y**3/3 - 2*y + 1. What is h*p(b) - 2*v(b)? -2*b**2 + 2*b Let w(c) = -5*c**3 - 2*c**2 - 3*c + 3. Let k(b) = 20*b**3 + 7*b**2 + 11*b - 14. Give -2*k(g) - 9*w(g). 5*g**3 + 4*g**2 + 5*g + 1 Let i(f) = 7*f**3 + f**2 - 1. Let l(s) = 2*s**3. What is -2*i(n) + 9*l(n)? 4*n**3 - 2*n**2 + 2 Let l(r) = -10*r + 16. Let k(g) = 7*g - 11. Let d = -306 + 301. What is d*l(a) - 7*k(a)? a - 3 Let d(z) = 6*z**2 + 95*z - 1. Let f(q) = 4*q**2 + 95*q - 1. What is -3*d(k) + 4*f(k)? -2*k**2 + 95*k - 1 Let y(h) = -9*h**3 + 7*h**2 + 7*h. Suppose 0 = -42*a + 46*a. Let p(z) = 8*z**3 + z**2 + 3*z**2 + a*z - 10*z**2 - 6*z. What is -7*p(w) - 6*y(w)? -2*w**3 Let p(q) = -113. Let s(t) = t**2. Give p(m) - 2*s(m). -2*m**2 - 113 Let a(d) = 7*d**3 - 2*d**2 + 42*d - 5. Let b(m) = 8*m**3 - 3*m**2 + 42*m - 6. Determine 7*a(n) - 6*b(n). n**3 + 4*n**2 + 42*n + 1 Let m(u) = -13*u - 563 - 572 + 1132. Let v(l) = 390*l + 91. Give -91*m(s) - 3*v(s). 13*s Let w(m) = -39*m**2 + 11*m - 12. Let g(u) = -118*u**2 + 31*u - 34. What is -6*g(s) + 17*w(s)? 45*s**2 + s Let k(q) = -11*q**3 - 5*q. Let u be 22/242 - (-54)/11. Let m(z) = -32*z**3 - 14*z. What is u*m(y) - 14*k(y)? -6*y**3 Suppose -37 = 5*h - 42. Let o(j) = j**3 - j + 1. Let d(a) = -6*a**3 - a**2 + 5*a - 3. What is h*d(b) + 5*o(b)? -b**3 - b**2 + 2 Let z(a) = 2*a**2 + a - 1. Let y(f) = -f**3 - 22*f**2 - 4*f + 4. Determine -y(o) - 4*z(o). o**3 + 14*o**2 Let p(b) = -184*b**3 - 3*b**2 - 6*b - 3. Let w(o) = 88871*o**3 + 1448*o**2 + 2896*o + 1448. Calculate 1448*p(x) + 3*w(x). 181*x**3 Let p(u) = -78*u**3 + 65*u + 65. Suppose -54 = -333*n + 342*n. Let w(r) = 7*r**3 - 6*r - 6. Calculate n*p(y) - 65*w(y). 13*y**3 Let f(n) = -n. Let y(d) = 11*d - 6*d - 17*d. Let i(s) = -s**2 + 18*s + 21. Let k be i(19). Calculate k*y(r) - 27*f(r). 3*r Let v(h) = -h - 1. Let x(a) = 14*a + 10. Let z be (-4 + 24)*9/18. Determine z*v(l) + x(l). 4*l Let p = -5 + 4. Let j be 1/((2/10)/p). Let x(d) = 6*d. Let k(w) = 3*w. Determine j*k(v) + 2*x(v). -3*v Let z(t) = -t**2 - 3*t + 4. Let q be z(-5). Let f(l) = -5*l + 11. Let u(d) = 2*d + 41. Let b(s) = -3*s - 69. Let j(v) = 3*b(v) + 5*u(v). Give q*f(w) - 33*j(w). -3*w Let p(r) = -6*r**2 + 7*r + 4. Let z(v) = -3*v**2 + 3*v + 2. Let h = 49 + -47. What is h*p(d) - 5*z(d)? 3*d**2 - d - 2 Let j(d) = -4*d**2 - 2. Let c = 18 - 14. Let m(i) = 4*i - 27. Let p be m(9). Let l(k) = 2*k**2 + 1. Give c*j(h) + p*l(h). 2*h**2 + 1 Let d(p) = p - 5. Let v(o) = -2. Let g(n) = -n + 4. Let i be g(4). Suppose i = 4*k - 3*k + 2. Calculate k*d(a) + 5*v(a). -2*a Let z(d) = 62 - 6*d - 6*d + 16*d - 59. Let s(f) = 1. What is -4*s(p) + z(p)? 4*p - 1 Let m(w) = -5*w**3 + 6*w**2 - 4*w - 4. Let l(i) = i**2 - i - 1. Let f = -3 + 10. Suppose -2 + f = -g + 3*k, 3*k - 1 = 5*g. Determine g*m(r) - 4*l(r). -5*r**3 + 2*r**2 Let p(b) = 6*b**3 - b**2 + 3*b. Suppose 0 = 91*v - 74*v - 85. Let n(y) = -11*y**3 + y**2 - 5*y. Give v*p(c) + 3*n(c). -3*c**3 - 2*c**2 Let t(r) = -2*r**2 - r + 4. Let f(g) be the second derivative of g**4/2 + g**3/2 - 6*g**2 - 77*g. Calculate 3*f(j) + 8*t(j). 2*j**2 + j - 4 Let r(o) = 13*o + 2. Let y(c) = c + 2. Let j(v) = -r(v) + 6*y(v). Let s(f) = 2. Determine -2*j(q) + 10*s(q). 14*q Let a(c) = 6*c + 7. Let k = -2146 - -2141. Let f(n) be the second derivative of 2*n + 3*n**2 + 5/6*n**3 + 0. What is k*f(q) + 4*a(q)? -q - 2 Let g(d) = 3*d**2 + 3*d - 3. Let y be 10/2 - (5 + -4). Suppose 0 = 3*s + 5*t - 3*t - 1, y = -s - 5*t. Let o(k) = k - 1. What is s*g(l) - 3*o(l)? 3*l**2 Let i(u) = 20*u**2 + 11*u + 2. Let t(g) = 31*g**2 + 17*g + 3. Determine 8*i(m) - 5*t(m). 5*m**2 + 3*m + 1 Suppose 17*g - 8*g = -45. Let d(c) = c**2 - 5. Let v(i) = i**2 + i - 4. Let m(w) = 4*d(w) - 5*v(w). Let b(f) = 3*f**2 + 18*f. Determine g*b(z) - 18*m(z). 3*z**2 Let w(q) = 2*q**2 - q. Let a(d) = -15*d**2. Let k(g) = 8*g**2 - g. Let b(p) = 3*a(p) + 7*k(p). Calculate 6*b(i) - 34*w(i). -2*i**2 - 8*i Let y(l) = 2*l**2 - l + 1. Let x(r) = r**3 - 14*r**2 - 4*r + 4. What is -x(s) + 4*y(s)? -s**3 + 22*s**2 Let b(a) = -a**2 + 3*a - 1. Let w(o) = -o. Let s(k) = b(k) + 3*w(k). Let x = 7 - 12. Let t(c) = 4*c**2 + 5. Give x*s(r) - t(r). r**2 Let p(f) = -6*f**2 + 9*f - 5. Let t(m) = 4*m**2 + 28*m - 7 - 13*m**2 - 15*m. Determine -7*p(c) + 5*t(c). -3*c**2 + 2*c Let d(y) = -4*y. Let o(z) = -4*z. Let n be (-2 - -3 - 0)*4. Let v(u) = -8*u + 85. Let g be v(11). Determine g*d(l) + n*o(l). -4*l Let p(c) = 6*c + 5. Let q(a) = -a - 1. Suppose 4*s = 23 - 7, -33 = 5*t - 2*s. Suppose -2*b - 2*b = 4. What is b*p(o) + t*q(o)? -o Let a(d) = -3*d**3 - 2*d - 10. Let j(p) = -48*p**3 - 33*p - 159. Calculate 33*a(f) - 2*j(f). -3*f**3 - 12 Let w(d) = -d. Let h(c) = -5*c + 1. Let g(m) = -m - 3. Let n be g(-2). Give n*h(k) + 2*w(k). 3*k - 1 Let o(f) = f**2 + 5*f. Suppose -8*j + 25 = -3*j. Let z(s) = -6*s + 9. Let u(k) = 3*k - 5. Let p(n) = j*z(n) + 9*u(n). Determine 3*o(m) + 5*p(m). 3*m**2 Suppose -4*k - 5*t = -43, 2*k + 23*t = 26*t + 49. Let v(l) = -l**2 + 8*l + 5. Let m(p) = 3*p**2 - 23*p - 14. Calculate k*v(a) + 6*m(a). a**2 - 2*a + 1 Let y(h) = -h**2 - 4*h + 1. Let v(i) = -i - 1. Suppose -4*u = -4*z + 6 + 10, 4*z = 5*u + 17. Calculate u*y(f) + 3*v(f). f**2 + f - 4 Let f(w) be the second derivative of w**5/5 + w**4/4 + w**3/2 + 2*w**2 - 46*w. Let q(m) = -3*m**3 - 2*m**2 - 2*m - 3. Let i = 14 - 20. What is i*q(v) - 4*f(v)? 2*v**3 + 2 Let g = 4 + -3. Let k be -1*g/(2/(-10)). Let w(s) = -s**3 - 6*s**2 - 4. Let i(q) = 0*q**3 + 137*q**2 - 12 - 144*q**2 + 7 - q**3. Calculate k*w(p) - 4*i(p). -p**3 - 2*p**2 Let b(r) = -20*r**2 - 18*r + 18. Suppose 0 = 2*j + 2*q + 6, 5*q - 4 + 3 = 3*j. Let d(k) = k**2 + k - 1. Give j*b(h) - 36*d(h). 4*h**2 Let a(b) = -14*b**2 - 2*b + 47. Let o(j) = -22*j**2 - 3*j + 70. What is 8*a(s) - 5*o(s)? -2*s**2 - s + 26 Let p(k) = -337*k. Let s(y) = 73124*y. What is -1086*p(j) - 5*s(j)? 362*j Let d(j) = j**2 - j. Let p(g) = -40*g**2 + 35*g. Let w be (-846)/12 - 5/(-10). Calculate w*d(q) - 2*p(q). 10*q**2 Let d(p) = -7*p**3 + 11*p**2. Let w(c) = 2*c**3 - 3*c**2. Let n(r) = 2 + 7*r**3 - 11*r**2 + 29*r**2 - 17*r**2 + 2*r. Let z be n(-1). Calculate z*d(q) - 22*w(q). -2*q**3 Let p(c) = 3*c. Suppose 2*r + r - 15 = 0. Let v = 10 - 2. Let f(y) = -2*y - 4*y + v*y. What is r*p(k) - 6*f(k)? 3*k Let c(w) be the first derivative of w**3/3 - 215. Let l(k) = -14*k**2. Calculate 91*c(y) + 6*l(y). 7*y**2 Let d(m) = -2*m**3 + m**2 + m + 1. Let t(j) = -5*j**3 + 2*j**2 + 4*j + 38. Determine -2*d(q) + t(q). -q**3 + 2*q + 36 Let d(u) = 6*u - 262. Let v(h) = -17*h + 787. Calculate -11*d(l) - 4*v(l). 2*l - 266 Let v(c) = -c**2 + c + 3. Let l(s) = 24*s**2 - 8*s + 11. Give l(w) - 3*v(w). 27*w**2 - 11*w + 2 Let m be (-18)/(-8) + 3/4. Let k be 3/(-2)*1/(m/(-2)). Let q(d) = d**2 - d - 1. Let o(l) = -6*l**2 + 5*l + 5. Calculate k*o(p) + 5*q(p). -p**2 Let m(f) = -8*f**3 + 3*f**2 + 20*f - 3. Let z(i) = -17*i**3 + 7*i**2 + 41*i - 7. What is 7*m(a) - 3*z(a)? -5*a**3 + 17*a Let y(z) = 40*z**3 + 2*z**2 - z - 4. Let i(t) = 121*t**3 + 5*t**2 - 3*t - 11. Calculate 4*i(v) - 11*y(v). 44*v**3 - 2*v**2 - v Let b(k) = 38*k - 9. Let c(x) = -26*x + 6. Determine -5*b(p) - 7*c(p). -8*p + 3 Let v(g) = 6*g**3 - 8*g**2 + 3. Let z(q) = -q**3 + q**2 - 1. Suppose d - 5 = 2*f, 12 = -2*d + 4*d - 5*f. Give d*v(b) + 4*z(b). 2*b**3 - 4*b**2 - 1 Let g(h) be the third derivative of -119*h**5/60 - 49*h**4/24 - 13*h**2 - 5*h. Let p(b) = -12*b**
{ "pile_set_name": "DM Mathematics" }
Let y be h(6). What is the second derivative of -2*p - 2*p**2 - p + 11 + 8*p + y*p - 4*p wrt p? -4 Let k(x) be the first derivative of -646*x**7/7 + x**3/3 - 56*x**2 - 1012. Find the third derivative of k(a) wrt a. -77520*a**3 Let c(i) be the second derivative of 146*i**2 + 0*i**5 - 1/10*i**6 + 0*i**3 + 55*i + 2 + 5/4*i**4. Find the first derivative of c(o) wrt o. -12*o**3 + 30*o Suppose 86856 = 8*l - 25224. Find the second derivative of -11*j**2 - l*j**3 - 6*j**2 + 6*j + 14018*j**3 wrt j. 48*j - 34 Let z(k) be the first derivative of 4*k**3/3 + 13*k**2/2 + 20*k - 25. Let f(l) = -l**2 - 3. Let q(x) = 2*f(x) + z(x). Differentiate q(g) with respect to g. 4*g + 13 Suppose 0 = 5*y - 4*j + 181 - 569, -308 = -4*y + 4*j. Find the first derivative of y + 35*x + 14 + 30*x - 4*x wrt x. 61 Find the second derivative of -818*t**2 - 2380*t + 2*t**3 + 818*t**2 wrt t. 12*t Let u(b) = -23333*b + 2561. Let p(n) = -5833*n + 619. Let o(d) = 26*p(d) - 6*u(d). What is the derivative of o(l) wrt l? -11660 Let s(l) be the first derivative of -4*l**6 + 91*l**3/6 - 135*l + 133. Let n(k) be the first derivative of s(k). What is the second derivative of n(j) wrt j? -1440*j**2 Let d(m) be the third derivative of -29*m**8/84 - 121*m**5/60 - 5*m**4/24 - 992*m**2. What is the third derivative of d(w) wrt w? -6960*w**2 Let d(z) be the second derivative of 83*z + 0*z**3 + 0 - z**5 + 0*z**2 - 5/3*z**4. Find the third derivative of d(b) wrt b. -120 Differentiate -31400 + 61536 + 4037*c - 32465 wrt c. 4037 Find the first derivative of 16*g + 6085 + 50*g**2 + 66*g**2 - g**3 + 47*g**2 - 256*g**2 - 2095 wrt g. -3*g**2 - 186*g + 16 What is the second derivative of -6495*h - 6965*h + 11880*h - 3448*h**2 wrt h? -6896 Let a(h) = -2378*h**2 + 1373*h + 18. Let j(k) = -140301*k**2 + 81005*k + 1071. Let f(g) = -119*a(g) + 2*j(g). Find the second derivative of f(t) wrt t. 4760 Let y(k) be the second derivative of -k + 163*k**3 - 22*k**2 - 2*k**4 - 163*k**3 + 4*k. Differentiate y(q) with respect to q. -48*q Let t be (-21 - -1)/(93/(-5580)). What is the third derivative of -1193*a**3 + 37*a**2 + 20*a**4 + 8*a**2 - 1 + t*a**3 wrt a? 480*a + 42 Let y(w) = -229*w**2 - 4066*w - 20. Let v(c) = 457*c**2 + 8131*c + 45. Let j(x) = 4*v(x) + 9*y(x). What is the second derivative of j(t) wrt t? -466 Find the third derivative of -2*h - 7538*h**5 + 58*h**2 + 7537*h**5 + 408*h**3 - 382*h**2 wrt h. -60*h**2 + 2448 Let l be 24/(-20)*(-20)/6. Let x be 1/4 - 11/(-4). What is the second derivative of 9*k - 5*k**3 - l*k**3 + 2*k**3 - 8*k**x wrt k? -90*k Let r(k) be the second derivative of -1997*k**4/6 + k**3/3 + 47*k**2/2 - 1966*k - 1. What is the second derivative of r(g) wrt g? -7988 Let l(f) be the second derivative of 21 + 0*f**2 - 3*f - 15/4*f**5 - 1/3*f**3 - 1/3*f**4. What is the third derivative of l(h) wrt h? -450 Suppose 4*q - a - 11 = 0, -q + 2 = 3*q + 2*a. Find the first derivative of -47*c**2 - 40 + 16*c**q + 22*c**2 + 11*c**2 + 163 - 47*c wrt c. 4*c - 47 Find the second derivative of -63*k**3 + 7*k**2 - 5*k**2 - 2*k**2 - 6074*k**3 - 4093*k wrt k. -36822*k Let k(l) be the third derivative of -5162*l**7/105 + l**5/60 - l**4/12 + 1213*l**3/6 + 55*l**2 + 41. Find the third derivative of k(a) wrt a. -247776*a Suppose 4*w + 1712 = 20*w. What is the derivative of w + 2021*r**3 - 1898*r**3 - 4 wrt r? 369*r**2 Let f(w) = -2*w**2 + 2*w - 1. Let g(z) = 167*z**2 - 312*z + 6. Let t(y) = -6*f(y) - g(y). Find the second derivative of t(a) wrt a. -310 Let m(r) be the first derivative of 4459*r**3/3 - 4951*r**2 - 6708. What is the second derivative of m(s) wrt s? 8918 Let z(i) = 21 - 115*i - 8 + 118*i. Let m be z(-3). Find the third derivative of -11*d**2 - 3*d**4 + 3*d**m + 2*d**2 - 18*d**6 wrt d. -2160*d**3 Let k(p) be the second derivative of -p**7/42 - 981*p**5/5 - p**4/12 + 3347*p**3/3 - 38*p + 6. Find the second derivative of k(v) wrt v. -20*v**3 - 23544*v - 2 What is the third derivative of -10*r**2 + 3926*r**4 - 121*r - 9*r**2 + 119*r - 1117*r**4 - 48 + r**2 wrt r? 67416*r Let h(y) = 3*y + 2. Let a(r) = -136*r + 117. Let q = 282 - 283. Let o(i) = q*a(i) + 6*h(i). What is the first derivative of o(l) wrt l? 154 Let l(h) be the third derivative of -13*h**5/60 - 485*h**4/24 + 3*h**2 - 14*h. Find the second derivative of l(j) wrt j. -26 What is the first derivative of -1132 + 5851*p**3 - 2925*p**3 - 2925*p**3 + 116*p**2 wrt p? 3*p**2 + 232*p Suppose 2*r + 5*r = -14. Let x be (-1)/r*8*6/24. Find the first derivative of -x - 5 + 5 - 3 + 4*d wrt d. 4 Let g(f) = 17*f**3 - 4*f**2 + 30*f - 951. Let y(b) = 17*b**3 - 3*b**2 + 30*b - 951. Let r(s) = -3*g(s) + 4*y(s). What is the first derivative of r(m) wrt m? 51*m**2 + 30 Let l(h) = 2*h**3 + 3820*h**2 - 4*h - 7704. Let y(d) = -6*d**3 - 7639*d**2 + 10*d + 15406. Let v(j) = -5*l(j) - 2*y(j). Find the first derivative of v(f) wrt f. 6*f**2 - 7644*f Let w(g) be the second derivative of 3199*g**3/6 - 1095*g**2 + 1738*g. Differentiate w(i) wrt i. 3199 Let t(r) be the second derivative of 255*r**7/7 + 35*r**4/3 + r + 29. What is the third derivative of t(w) wrt w? 91800*w**2 Let o be (0 + -3 + 7)*(2 - -2). Suppose -18*l + 10*l = -o. What is the derivative of 35 + f**l + 34*f**3 - 3 - f**2 wrt f? 102*f**2 Let o = 23963 - 23963. Let p(g) be the third derivative of 3/2*g**4 + 0 + 36*g**2 + 17/3*g**3 + o*g. Differentiate p(k) with respect to k. 36 Let u(c) be the second derivative of -1/6*c**4 + 0*c**5 - 21 + 0*c**6 - 1/14*c**7 + 2*c - 1/6*c**3 - 7*c**2. Find the second derivative of u(d) wrt d. -60*d**3 - 4 Let m(g) = 2*g**2 - 7*g - 31. Let y be m(-7). Differentiate -121*z**3 - 97 - 22*z**3 + y with respect to z. -429*z**2 Let o(n) = 345*n**2 - 873*n + 2. Let m(z) = 685*z**2 - 1746*z + 5. Let t(b) = -4*m(b) + 10*o(b). What is the second derivative of t(a) wrt a? 1420 Let q(r) = r**3 + 2*r**2. Let l(v) = 6*v**3 + 16*v**2 + 1587*v - 5468. Let o(a) = l(a) - 8*q(a). What is the derivative of o(h) wrt h? -6*h**2 + 1587 Let i be (-2 - (11 + -1)) + 34 + -18. Let g(s) be the first derivative of -10 + 0*s + 19/4*s**i + 5*s**3 + 0*s**2. Find the third derivative of g(t) wrt t. 114 Let z be (-16)/(-56) - 508/14. Let k = -19 - z. What is the third derivative of 9*s**2 - 10 - 1 + 11 + k*s**3 wrt s? 102 Suppose 3*t - 227 = f, -5*t + 2*f = -3*f - 395. Suppose t = 3*z - 5*u, 79 = 4*z - 3*u - 16. What is the first derivative of z - 4 + 7 + 11*n**4 + 6*n**4 wrt n? 68*n**3 Let i(s) be the first derivative of 0*s**2 - 115/3*s**3 - 136 - 13*s**5 + 0*s + 0*s**4. Find the third derivative of i(m) wrt m. -1560*m Let b(i) be the third derivative of -97*i**5/30 + 351*i**4 - 652*i**2 + 4. What is the second derivative of b(s) wrt s? -388 What is the second derivative of -2*x**2 + 2*x**2 + 37327*x**3 + 2097*x - 36226*x**3 wrt x? 6606*x Let w(h) = -3070*h**3 - 2*h**2 - 3166. Let j(t) = -6134*t**3 - 5*t**2 - t - 6333. Let b(q) = 2*j(q) - 5*w(q). What is the derivative of b(y) wrt y? 9246*y**2 - 2 Find the third derivative of -1394 + 5732*c**5 + 1392 - 508*c**2 + 5*c**3 - 249*c**2 - 5*c**3 wrt c. 343920*c**2 Suppose -4*j = -v - 169, 5*v + 189 = 4*j - 0*j. Let s = 44 - j. Differentiate 6*y**s + 405*y - 405*y - 12 with respect to y. 18*y**2 Suppose -5*s + 7 = -2*j, -6*j + 2*j = -3*s - 7. Let m(n) = 4*n - 482. Let u be m(121). Find the third derivative of -2*g**u + 56*g**4 - 11*g**2 - 21*g**j wrt g. 840*g Let t(b) be the second derivative of 1333*b**7/21 + 1427*b**3/6 + 442*b + 1. What is the second derivative of t(w) wrt w? 53320*w**3 Find the third derivative of 4*c + 2460*c**2 - 2939*c**5 + 39*c + 36*c - 79*c wrt c. -176340*c**2 Suppose 0 = -1666*l + 1484*l. Let q(j) be the first derivative of 0*j**4 + 0*j**3 + 24/5*j**5 - 26*j - 16 + l*j**2. Differentiate q(k) with respect to k. 96*k**3 Let x(i) = 38*i + 85. Let s(c) = -1. Suppose 3*b + 7 = -2*p, 5*b + 2*p + 3 = -6. Let t(h) = b*x(h) + s(h). Differentiate t(f) with respect to f. -38 Find the third derivative of -519*v**5 - 6*v**2 - 533 - 642*v**5 + 7*v**2 - 192 - 12 wrt v. -69660*v**2 What is the second derivative of -30*y**5 + 239*y**4 - 9321*y**2 + 4881*y + 9321*y**2 + 36*y**5 wrt y? 120*y**3 + 2868*y**2 Let w(z) be the first derivative of -5476*z**5/5 + 5198*z**3/3 - 5116. Find the third derivative of w(j) wrt j. -131424*j Let z(f) = -f**3 - 6*f**2
{ "pile_set_name": "DM Mathematics" }
) = 3*t**2 + 602*t. What is 2*d(k) + 9*h(k)? 3*k**2 + 610*k Let w(u) = -3*u + 62 + u**3 + 2*u - 65. Let m(q) = -1. Let o(g) = 4*m(g) - w(g). Let h(z) = 14*z**3 - 21*z + 21. What is -h(j) - 21*o(j)? 7*j**3 Let i(y) = 7*y + 3. Suppose -1 = -4*h + h - x, 15 = 3*h + 3*x. Let u(n) = -6*n - 3. Determine h*i(s) - 3*u(s). 4*s + 3 Let j(h) = -5*h**2 - 4*h. Let m(p) be the first derivative of 0*p + 1/2*p**2 - 23. Suppose -4*q + 16 = -2*c - c, 3 = -q - c. Calculate q*j(x) + 3*m(x). -5*x**2 - x Let m(h) = 3*h**3 + h**2 + 6*h - 2. Let l(o) = -6*o**3 - 2*o**2 - 13*o + 4. Let j = 123 + -74. Let v be 630/j - 6/(-42). Calculate v*m(d) + 6*l(d). 3*d**3 + d**2 - 2 Let w(n) = 4*n**3 + 397*n**2 + 8*n + 6. Let g(t) = 3*t**3 + 397*t**2 + 7*t + 5. Give 6*g(j) - 5*w(j). -2*j**3 + 397*j**2 + 2*j Let h = 120 + -76. Let c = 1109 - 1146. Let i = h + c. Let d(v) = 6*v**3 + 7*v + 10. Let o(l) = 2*l**3 + 2*l + 3. What is i*o(g) - 2*d(g)? 2*g**3 + 1 Let h(z) = 20*z + 2. Let k(a) = -115*a + 193. Give -5*h(j) - k(j). 15*j - 203 Let l(t) = -2*t - 26*t + 9 + 27*t - t + 1. Let p(i) = 1. What is l(g) + 2*p(g)? -2*g + 12 Let x(r) = 40*r**2 + 28*r + 544. Let m(j) = -27*j**2 - 18*j - 363. Give 11*m(v) + 7*x(v). -17*v**2 - 2*v - 185 Let o(m) = 8*m**2 + m + 2. Let c be (-8)/(-5 - -1) + 0. Let n(g) = -17*g**2 - 2*g - 4. Determine c*n(s) + 5*o(s). 6*s**2 + s + 2 Let t(a) = -a. Let q(r) = r**2 - r + 1. Let k be (-2 - -2)/(-1) - -1. Let b be (112/(-42))/(-3 - (-66)/18). Calculate b*t(m) + k*q(m). m**2 + 3*m + 1 Let v(l) = 5*l**2 + 15*l - 15. Let p(n) be the first derivative of n**3/3 + 3*n**2/2 - 3*n + 3400. What is -11*p(t) + 2*v(t)? -t**2 - 3*t + 3 Let w(i) = -i. Let c(x) be the third derivative of -17*x**4/4 + 692*x**2. What is -c(s) + 68*w(s)? 34*s Let o(m) = 3*m**2 - 4*m + 2. Let p(k) = 4*k**2 - 4*k + 2. Let h be (466/5)/(2/(-10)). Let b = h + 468. Determine b*p(t) - 3*o(t). -t**2 + 4*t - 2 Let q(g) = -3*g**2 - 5*g - 1. Let l(j) = -19*j**2 - 571*j - 4. Calculate l(r) - 4*q(r). -7*r**2 - 551*r Let h(y) = -y**2 + 127*y + 157. Let x(b) = 21*b + 24. Give -2*h(t) + 13*x(t). 2*t**2 + 19*t - 2 Let c(m) = 2. Let h(g) = -3*g - 3. Let j = -4076 - -4078. Determine j*c(t) + 2*h(t). -6*t - 2 Let j(t) = -13389*t - 6. Let p(f) = 13391*f + 9. Determine -3*j(r) - 2*p(r). 13385*r Let q(n) = -4*n - n - 2 - 3*n. Let v(p) = -9*p - 2. Let j be (-25 - -8) + -21 + 35. Give j*v(r) + 4*q(r). -5*r - 2 Let v(c) = 8*c - 10. Suppose 4*n + 11 = 5*l, 3*l + 1019 = -3*n + 1058. Let u(k) = -k + 1. Determine n*u(s) + v(s). 2*s - 4 Let l(w) = 3*w**2 + 12*w - 6. Let h(i) = -10*i**2 - 40*i + 18. What is 5*h(j) + 16*l(j)? -2*j**2 - 8*j - 6 Let t(f) = 2. Let y(k) = 7*k - 120. Calculate 7*t(o) + y(o). 7*o - 106 Let l(j) = -6*j**3 + 5*j**2 + 2*j + 4. Let p(n) = 6*n**3 + n**2 - 19*n - 11. Let q(m) = -m**3 - m**2 + 6*m + 3. Let r(d) = -p(d) - 3*q(d). Give 2*l(a) - 5*r(a). 3*a**3 - a - 2 Let w(c) = -c + 2. Suppose -3 = 3*z, -11 + 4 = -2*u - z. Let x(k) = 19*k - 10. Let b(f) = -41*f + 21. Let s(q) = 6*b(q) + 13*x(q). What is u*s(g) + 7*w(g)? -3*g - 2 Let l(s) = -26*s. Let z(q) = -51*q - 116. What is 2*l(d) - z(d)? -d + 116 Let h(u) = u**2 - 305*u - 1239. Let b be h(-4). Let c(x) = 51*x**3 + 8*x**2 + 8*x - 8. Let l(m) = 17*m**3 + 3*m**2 + 3*m - 3. Give b*c(z) + 8*l(z). -17*z**3 Let k(c) be the third derivative of c**4/6 - 4*c**3/3 + 157*c**2 - 2*c + 1. Let a(j) = 3*j - 5. Give 7*a(w) - 5*k(w). w + 5 Let u(r) = -2*r + 14811. Let w(t) = 8*t - 59213. Determine -9*u(s) - 2*w(s). 2*s - 14873 Let g(b) = 2*b**2 + b + 12. Let f be ((-3)/((-15)/1))/((-9)/(-45)). Let s(t) = -t**2 - 1. Give f*g(d) + 4*s(d). -2*d**2 + d + 8 Let w(q) = 12*q**2 + 49*q + 16. Let o be w(-21). Let g(n) = -4285*n + 4 - 9 + o*n. Let p(k) = -k - 1. What is g(d) - 4*p(d)? -2*d - 1 Let z(v) = -v**2 - 1. Let y(f) = f**3 - f**2 - 1. Let q = 51 - 52. Let l be -40 + 40 - (-3 - (0 + q)). Calculate l*z(n) - 2*y(n). -2*n**3 Let a(y) = 4 + 0 - 3 - y**3 - y. Let z be 5 + (-7 - -5) + -1. Let k(r) = -70 - 78 + 150 - 2*r + r**z - 5*r**3. Determine -2*a(j) + k(j). -3*j**3 + j**2 Let n(o) be the second derivative of o**5/4 - 7*o**4/12 + 7*o**3/6 - 1995*o. Let t(g) = -g**3 + g**2 - g. Calculate 2*n(d) + 14*t(d). -4*d**3 Let d(i) = 4. Let w(k) = -34*k + 88. Calculate 132*d(y) - 6*w(y). 204*y Let n(m) = -m**3 - 2*m**2 - m - 1. Let z(d) = 2*d**3 - 336*d**2 + 5*d + 5. What is -5*n(c) - z(c)? 3*c**3 + 346*c**2 Let t(c) = -3275*c**3 - 57*c**2 - 3*c + 1. Let m(b) = 3275*b**3 + 76*b**2 + 4*b - 2. Calculate -3*m(a) - 4*t(a). 3275*a**3 + 2 Let w(f) = 17*f - 16. Let n(b) = 20*b - 19. Give 3*n(h) - 2*w(h). 26*h - 25 Let b = 151 - 157. Let u(a) = -a - 1. Let m be u(b). Let v(x) = -2*x. Let q(s) = -3*s + 1. Determine m*v(f) - 3*q(f). -f - 3 Let v(q) = 2*q**3 - 3*q**2. Let s = 10 - 11. Let n be 3 + s/(2/8). Let m = 376 + -379. Let t(p) = p**2. Determine m*t(c) + n*v(c). -2*c**3 Let l(f) = -6*f**2 + 3*f - 14. Let d(s) = -4*s**2 + 11*s + 17. Let k(u) = -10*u**2 + 26*u + 38. Let j(z) = 7*d(z) - 3*k(z). Give -17*j(b) - 6*l(b). 2*b**2 - b - 1 Let q(c) = -c**2. Let x be (-4512)/768 + (-2)/16. Let i(r) = 23*r**2. What is x*q(n) + i(n)? 29*n**2 Let l(p) = p - 9. Let f(d) = -9965*d - 54. Calculate f(s) - 6*l(s). -9971*s Let d(u) = -5*u**2 - 4*u + 146. Let j(i) = 3*i**2 + 3*i - 146. Give 2*d(c) + 3*j(c). -c**2 + c - 146 Let b(f) = 41*f + 38. Let n(p) = -4*p + 9. What is -2*b(v) - 18*n(v)? -10*v - 238 Let b(y) = -1. Let c(g) be the third derivative of 11*g**4/24 + 2*g**3/3 - 16502*g**2 - 1. Let n = 1 + -5. What is n*b(a) - c(a)? -11*a Let l(x) = -323*x**2 + 4*x + 1. Let t(p) = -970*p**2 + 14*p + 4. Calculate 7*l(k) - 2*t(k). -321*k**2 - 1 Let y(m) = 13*m**3 - 9*m**2 - 7*m + 1. Let j be ((-7)/((-28)/(-16)) - 18/(-6)) + 3. Let c(d) = -4*d**3 + 3*d**2 + 2*d. Determine j*y(r) + 7*c(r). -2*r**3 + 3*r**2 + 2 Let w(j) = -63*j + 59. Let f(r) = 55*r - 59. What is 6*f(v) + 5*w(v)? 15*v - 59 Let u(w) = 5*w**3 - w + 1. Let s(i) = -133*i**3 + 2. Calculate s(x) - 2*u(x). -143*x**3 + 2*x Let o = -43090 + 43094. Suppose n - 5*d = -7, -4*n = 2*d - 10 - 6. Let i = -2 + n. Let r(a) = -a - 1. Let y(l) = 8*l + 5. Calculate i*y(z) + o*r(z). 4*z + 1 Let i(h) = -h**2 + 43*h - 53. Let l(g) = g**2 - 72*g + 106. Determine -5*i(a) - 3*l(a). 2*a**2 + a - 53 Let g(q) = -8*q**3 - 5*q + 5. Let u(v) = 12*v**3 + 8*v - 8. Let t be 2 + (-3 - -6) + -2. Suppose -8 = -t*b + 2*b. Let a = 1334 - 1329. Give a*u(j) + b*g(j). -4*j**3 Let v(z) = -z - 2. Let c(d) = d + 2. Let n(w) = -5*c(w) - 4*v(w). Suppose -19*k + o = -17*k + 2, 13 = k - 4*o. Let a(i) = -1. Determine k*a(x) + 2*n(x). -2*x - 1 Let x(y) = -5*y - 1. Let r(b) be the second derivative of -11*b**3/6 - b**2/2 + b. Suppose -106*d + 72 + 533 = -31. What is d*r(u) - 13*x(u)? -u + 7 Let s(d) = -2*d**2 - 7*d. Let o(u) = u**2 + 9*u - 1. Determine 4*o(y) + 5*s(y). -6*y**2 + y - 4 Let a(w) = -4*w + 11. Suppose 131*c - 286 = -155*c. Suppose -5*b - 3*p = -0*p - 30, 11 = -3*b + 4*p. Let h(q) = q. What is b*h(v) + c*a(v)? -v + 11 Let n(h) = 21*h**3 + 2*h - 7. Let x(v) = -v**3 + 5*v + 12*v**3 + 52 - 4*v - 55. Determine -3*n(k) + 7*x(k). 14*k**3 + k Let f(r) = 2*r**2 - 3*r. Let m(b) = -9*b**2 + 13*b. Let u = -619 + 608. Let h be (-3 - -3) + -2 - (u - -15). What is h*m(d) - 26*f(d)? 2*d**2 Let q(k) = -6*k**2 + 2*k**2 - k - 3 + 10*k**2 + 1. Let j(b) = -b**3 + 31*b**2 - 6*b - 11. Calculate 2*j(c) - 11*q(c). -2*c**3 - 4*c**2 - c Let y(q) = -q + 1. Let k(o) be the third derivative of o**5/60 - o**4/8 + o**3/2 + 6493*o**2. Give k(b) - 2*y(b). b**2 - b + 1 Let s(u) = -59830*u - 1209. Let n(i) = -893*i - 18. Give 403*n(x) - 6*s(x). -899*x Let w(l) = l + 4. Let q(n) be the first derivative of -8*n + 4*n + 2*n + 10*n - 30 + n**2. What is -4*q(f) + 9*w(f)? f + 4 Let b(f) = -39*f - 35. Let s(x) = -28*x - 34. What is -6*b(q) + 5*s(q)? 94*q + 40 Let i(x) = -13*x + 4. Let l(r) = 30*r - 5. What is -7*i(a) - 3*l(a)? a - 13 Let a(s) = 21 + 11*s + 12*s - 30*s + 11*s. Let b(x) = 3*x + 14. Calculate -5*a(p) + 7*b(p). p - 7 Let v(r) = -2326*r**3 - 17*r - 11. Let z(f) = 465*f**3 + 3*f + 2. What is 4*v(b) + 22*z(b)? 926*b**3 - 2*b Suppose -1425 = -f - 4*f. Let l = 286 - f. Let w(r) = r**3 - r**2 + r. Let g(c) = 5*c**3 - 2*c**2 + 2*c + 2. Calculate l*g(s) - 2*w(s). 3*s**3 + 2 Let u(i) = -9*i + 4. Let m(z) = -2*z + 5. Determine
{ "pile_set_name": "DM Mathematics" }
3584461 wrt d? 61452336*d**2 Differentiate -400767*a**2 - 6*a + 502957122. -801534*a - 6 What is the second derivative of 429164173*f**5 + 8168492*f? 8583283460*f**3 Find the second derivative of 4953*k**3*l + 4623*k**2*l - k**2 - 13*k*l + 23292423*k wrt k. 29718*k*l + 9246*l - 2 Find the first derivative of 79921883*i + 34158786. 79921883 Differentiate 839533767*f**3 + 66106675 wrt f. 2518601301*f**2 What is the second derivative of -4*w**3 + 1067624*w**2 + 5513*w + 507 wrt w? -24*w + 2135248 Find the first derivative of 24*g**2*v + 461430*g*v**3 - 2*v**3 - 14850566*v + 2 wrt g. 48*g*v + 461430*v**3 What is the first derivative of 3*k*u**3 + 3806145*k*u + 6496762*k wrt u? 9*k*u**2 + 3806145*k What is the third derivative of -119*o**5*x**3 - 32876*o**5 + 3*o**2*x**3 + 12*o**2*x + 3374*o**2 wrt o? -7140*o**2*x**3 - 1972560*o**2 What is the second derivative of 239304029*i**4 - 106411111*i - 3 wrt i? 2871648348*i**2 What is the first derivative of 89500*w**3 - 3*w**2 + 4276571? 268500*w**2 - 6*w Find the second derivative of 34717430*t**4 - 5*t - 1163313. 416609160*t**2 What is the third derivative of -18255102*j**3 - 14*j**2 - 98*j - 109 wrt j? -109530612 What is the second derivative of -25261500*u**3 + 6*u - 180116? -151569000*u Find the third derivative of -81726524*u**3*v**2 + 1742106*u**2*v**2 + u wrt u. -490359144*v**2 Find the third derivative of 729*g*q**5 - 689*g*q**2 - 87*g*q + g - 46754*q**5 - 2*q**2 - 1 wrt q. 43740*g*q**2 - 2805240*q**2 What is the second derivative of 106181719*b**2 + 3*b + 24434236 wrt b? 212363438 Find the third derivative of 175*g*o**3 + 2*g*o**2 - 1168*g + 4375*o**3 - 22*o**2 + 61*o + 1 wrt o. 1050*g + 26250 Differentiate 723281151*z + 660487878. 723281151 What is the second derivative of -7*v**4 + 8*v**3 + 1647*v**2 - 224*v - 20838? -84*v**2 + 48*v + 3294 Find the second derivative of -18760917*q**2 - 1857156*q wrt q. -37521834 What is the derivative of 839*k*u**2 + 6503042*k - 4324*u**3 wrt u? 1678*k*u - 12972*u**2 Differentiate -47181*f*y + 208*f + 192493805*y wrt f. -47181*y + 208 What is the derivative of 623694399*a*k + 114505328*a wrt k? 623694399*a What is the third derivative of -3*b**4*g - 3087*b**4 + 34535*b**3*g - b**2*g + 234130447*b**2 + b*g - 1 wrt b? -72*b*g - 74088*b + 207210*g Find the first derivative of -22941110*s**4 - 31295006 wrt s. -91764440*s**3 Find the first derivative of 30788646*q + 461620472. 30788646 What is the third derivative of -13*k**6 + 9218344*k**4 + 224781786*k**2? -1560*k**3 + 221240256*k What is the first derivative of 64*c**2 - 792930*c + 22375758 wrt c? 128*c - 792930 Differentiate 399*g**2 + 75307*g + 73556635. 798*g + 75307 Find the first derivative of -2*a**4 + 129188331*a**2 - 153136304. -8*a**3 + 258376662*a Find the second derivative of -2*k**3 - 5814978*k**2 - 331048*k + 10 wrt k. -12*k - 11629956 What is the second derivative of 91398*l**5 - l**3 + 204*l**2 - 81484652*l wrt l? 1827960*l**3 - 6*l + 408 What is the second derivative of 8252800*l**3 - 226380*l - 32? 49516800*l What is the third derivative of -3185604*g**3 - 2*g**2 - 14478419*g wrt g? -19113624 What is the third derivative of 912351325*m**5 - 87328167*m**2 wrt m? 54741079500*m**2 What is the second derivative of -3834349*k**2*y**2 + 13*k**2*y - k**2 - 9*k*y**2 - 2*k*y - 1177337*k + 2*y**2 - y + 1 wrt k? -7668698*y**2 + 26*y - 2 Find the second derivative of -146*c**4 - 881*c**3 - 2*c**2 + c + 23861862 wrt c. -1752*c**2 - 5286*c - 4 What is the third derivative of 389*g**4*t**2 + 129*g**4 + 789*g**3 - 2*g**2*t**2 + 8967788*g**2*t - 6*g*t**2 - 2*g*t wrt g? 9336*g*t**2 + 3096*g + 4734 Find the first derivative of 30398*r**3*w**2 - 94145*r**3 - 251*r**2*w**3 - 1544*r wrt w. 60796*r**3*w - 753*r**2*w**2 What is the derivative of 3*r**2*v - 5991701*r**2 + r*v + 2883969*v + 13 wrt r? 6*r*v - 11983402*r + v What is the second derivative of 9*p**4 - 463*p**3 - 18*p**2 + 6343307*p wrt p? 108*p**2 - 2778*p - 36 What is the third derivative of -5773808*q*t**3*u*y + 5*q*t**2*u*y - q*t**2*u + 41*q*y + 39*t*u*y - 16*t*y wrt t? -34642848*q*u*y What is the first derivative of -524556514*l**4 + 192736622 wrt l? -2098226056*l**3 What is the third derivative of 21419604*c**4 + 17*c**2 + 183*c + 345 wrt c? 514070496*c What is the first derivative of 140492055*l**2 - 98666664? 280984110*l Differentiate d*r**2 + 6*d*r + 111874*d + 2979*r**2 + r - 114 wrt r. 2*d*r + 6*d + 5958*r + 1 What is the third derivative of 25136248*n**3*x**3 + 106031509*n**2*x - x**3 wrt n? 150817488*x**3 What is the third derivative of -3*g*v**5 - 5268276*g*v**3 - 4*g*v**2 + 5*g*v - 5*g - v**2 + 13*v - 2 wrt v? -180*g*v**2 - 31609656*g Find the third derivative of -38815032*l*z**3 - l*z**2 - 2*l*z - 63798*l - 6*z**2 wrt z. -232890192*l What is the second derivative of -1513*u**4 - 848*u**3 + 31198066*u wrt u? -18156*u**2 - 5088*u Differentiate -1559*g**2 - 13889*g - 37683860 wrt g. -3118*g - 13889 What is the derivative of 1705706*i**2*p - 2*i**2 - 2*i*p + 81084*i - p - 7 wrt p? 1705706*i**2 - 2*i - 1 What is the second derivative of 13766579*b**2 - 6281779*b? 27533158 Differentiate -2*b**2*j - 1143*b**2 - 281*b - 3050962*j + 6 with respect to j. -2*b**2 - 3050962 What is the second derivative of n**4 + 6*n**3 + 4440*n**2 - 3921354*n? 12*n**2 + 36*n + 8880 Find the second derivative of -31428375*f**4 + 2*f - 12446439. -377140500*f**2 What is the derivative of -32920*c**2 + 9275*c - 702793953 wrt c? -65840*c + 9275 What is the second derivative of 10201738*f**2 + 1264612*f wrt f? 20403476 Find the first derivative of 4171448*j**3 + 4622996 wrt j. 12514344*j**2 What is the second derivative of 5501*r**3 + 1075*r**2 + 768263*r + 1? 33006*r + 2150 Find the second derivative of -2942*i**2*p - 484*i**2 - 380*i*p + 15*i + 129*p wrt i. -5884*p - 968 What is the first derivative of -25601823*x**2 + 46863330? -51203646*x What is the first derivative of 3121336*f + 5347314 wrt f? 3121336 Find the second derivative of -68*f*j**3 - 1151*f*j**2 + 2*f*j + 6*f + 15*j**3 - 2*j - 14050 wrt j. -408*f*j - 2302*f + 90*j Find the second derivative of -230*o**3*t**2 - 538*o**3 + 91147*o**2*t**2 + 40143*o**2*t + o*t**2 wrt t. -460*o**3 + 182294*o**2 + 2*o Find the third derivative of 4326336*x**5 - 1882674*x**2 wrt x. 259580160*x**2 Find the first derivative of -37291416*c**4 - 24803293 wrt c. -149165664*c**3 What is the third derivative of 8169*d**3*t**2 + 150*d**3*t + 3*d**3 + 4*d**2*t**2 + 9*d**2*t - 1020*d**2 - 21*d*t wrt d? 49014*t**2 + 900*t + 18 Find the second derivative of 25866*h**2*s**3 + 94484*h**2*s + 1281*h*s**4 - 538*h*s wrt s. 155196*h**2*s + 15372*h*s**2 Find the third derivative of -5*p**3*x**2 - 5*p**3*x - 778645*p**3 - 6*p**2*x**2 + 2*p**2*x - 150463*x wrt p. -30*x**2 - 30*x - 4671870 What is the second derivative of -140270283*k**2 - 231980259*k wrt k? -280540566 Find the third derivative of 10066635*l**5*r - 2*l**4*r - 4711*l**2 + 10210*l*r wrt l. 603998100*l**2*r - 48*l*r What is the second derivative of 5*w**3*z**2 + 2*w**2*z + 2141490*w**2 + 87344*w*z**2 - 19*w*z wrt w? 30*w*z**2 + 4*z + 4282980 What is the second derivative of -3*q*v**3 + 55*q*v - 11989*q - 6*v**3 - 442514*v**2 wrt v? -18*q*v - 36*v - 885028 What is the third derivative of -1189*a*q**2*t**3 - 2743*a*q*t**3 + a*q*t**2 + a*q - 2*a*t + 4*q**2 - 10494*q + 23 wrt t? -7134*a*q**2 - 16458*a*q What is the third derivative of -4*p**5 - 677847*p**4 + 28*p**3 - 4*p**2 + 99335711? -240*p**2 - 16268328*p + 168 Find the third derivative of -9381490*x**4 + 7304632*x**2. -225155760*x Find the third derivative of -58*h*j*p**2 + 4*h*j + 810272*h*p**3 + h*p**2 + 233*h*p + j*p**5 + j*p**3 - 2*j*p**2 wrt p. 4861632*h + 60*j*p**2 + 6*j Find the second derivative of -178*t*w*y**2 + 2415238*t*w*y + 2*t*y + 67*w*y**2 - 64*y**3 wrt y. -356*t*w + 134*w - 384*y Find the second derivative of 478742294*g**5 - 314*g - 238796. 9574845880*g**3 What is the second derivative of 270262009*g**3 + 3*g - 8706837 wrt g? 1621572054*g What is the third derivative of 85046543*o**6 + 111*o**2 + 1254*o + 20? 10205585160*o**3 What is the first derivative of -3469*k**2 + 133*k + 3371832? -6938*k + 133 Find the second derivative of -407938*d**2*g**3 - 8*d**2*u**2 + 3*d*g**3*u + 213434*g**2*u**2 wrt d. -815876*g**3 - 1
{ "pile_set_name": "DM Mathematics" }
*t - 2 Let t(q) = -q + 364. Let k(s) = -s + 362. Determine 3*k(d) - 2*t(d). -d + 358 Let w(s) be the third derivative of -3*s**5/20 - s**4/8 - 5*s**3/6 - 2*s**2 + 56*s + 6. Let v(f) = -4*f**2 - f - 3. Calculate 5*v(p) - 2*w(p). -2*p**2 + p - 5 Suppose 2*p + 15*f + 10 = 10*f, 7*f = -5*p - 3. Let j(x) = 4*x**3 + 13*x + 2. Let c(s) = -9*s**3 - s**2 - 25*s - 5. Determine p*j(u) + 2*c(u). 2*u**3 - 2*u**2 + 15*u Let i(d) = 3*d**2 + d - 3. Let a(j) be the first derivative of 2*j**3/3 + j**2/2 - 4*j + 853. Calculate -3*a(w) + 4*i(w). 6*w**2 + w Let z(r) = -r**2 + r - 2. Let g(h) be the third derivative of -h**6/120 - h**5/20 + h**4/12 - 2*h**3/3 - 4960*h**2. Give 2*g(f) - 5*z(f). -2*f**3 - f**2 - f + 2 Suppose 56*b - 60*b + 44 = 0. Let h(u) = -3 + b - 7. Let f(i) = -3*i - 6. Let y(w) = -5*w - 9. Let x(d) = -8*f(d) + 5*y(d). What is 4*h(l) - x(l)? l + 1 Let j(m) = 18*m**2 + 2. Let l(r) = 7*r**2 + 13*r - 19. Let i(p) = -13*p**2 - 24*p + 35. Let g(u) = 6*i(u) + 11*l(u). Calculate -2*g(t) + j(t). 20*t**2 + 2*t Let n(g) = g - 1975. Let u(m) = m - 1989. What is -5*n(s) + 6*u(s)? s - 2059 Let t(r) = 3362*r**3 + 19*r + 4. Let f(v) = -5044*v**3 - 26*v - 6. Calculate -5*f(i) - 7*t(i). 1686*i**3 - 3*i + 2 Let x(z) be the first derivative of -55*z**3 + 12*z**2 - 3502. Let j(k) = -33*k**2 + 5*k. Calculate -24*j(q) + 5*x(q). -33*q**2 Suppose -28*t = -t + 6*t - 726. Let p(u) = 3*u**3 + 11. Let h(d) = -14. Let b(m) = 5. Let k(r) = 17*b(r) + 6*h(r). Give t*k(i) - 2*p(i). -6*i**3 Let u(l) = 40*l - 129*l + 1 - 3*l**2 - 6*l**2 + 41*l + 39*l. Suppose 2*o + 24 = -2*o. Let y(g) = -8*g**2 - 5*g + 3*g - 1 - 6*g + 2. What is o*u(t) + 7*y(t)? -2*t**2 - 2*t + 1 Let b(s) = -s**2 + 5217*s + 3. Let z(k) = -1747*k - 1. What is -2*b(y) - 7*z(y)? 2*y**2 + 1795*y + 1 Let r(v) = -504*v - 430. Let t(s) = 101*s + 93. Calculate -3*r(c) - 14*t(c). 98*c - 12 Let a(o) = 7*o**3 - 14*o**2 + 3*o - 4. Let z(r) = -r**3 + r**2 - r + 1. Suppose -11*h + 91991 = 92035. What is h*z(f) - a(f)? -3*f**3 + 10*f**2 + f Let m(a) = 110*a**3 - 6*a**2 + 7*a - 8. Let t(p) = 330*p**3 - 17*p**2 + 19*p - 22. Give 8*m(v) - 3*t(v). -110*v**3 + 3*v**2 - v + 2 Let o(x) = -1044*x**2 + 3*x - 6. Let s(q) = 3133*q**2 - 11*q + 19. Give 13*o(h) + 4*s(h). -1040*h**2 - 5*h - 2 Let b(m) = 4483*m - 68. Let q(p) = -44832*p + 714. Determine -21*b(r) - 2*q(r). -4479*r Let o(a) = -3*a + 3*a - 2794*a**2 + 2795*a**2. Let c(j) = -j**3 + 4*j**2. Let p(g) = 4*g + 45. Let s be p(-11). Calculate s*c(d) - 4*o(d). -d**3 Let r(q) = -18*q + 2. Let o(l) = -l. Let a = -11117 - -11115. What is a*o(d) + r(d)? -16*d + 2 Let i(t) = 5*t + 7. Let o(v) = 7*v + 11. Suppose -6*k = -42*k - 38*k + 592. Give k*i(z) - 5*o(z). 5*z + 1 Let k(v) be the second derivative of -v**3/2 - 2*v**2 - 16*v + 39. Let r = -18 + 11. Let n(p) = 4*p + 6. Calculate r*k(c) - 5*n(c). c - 2 Let b(g) = -g**2 - 8*g + 7. Let y(h) = 4*h**2 + 4*h - 9. Let j(z) = 9*z - 26*z**2 - 17 + 9*z**2 + 24*z**2. Let n(x) = 3*j(x) - 5*y(x). What is -4*b(r) - 5*n(r)? -r**2 - 3*r + 2 Let s = -130 + 131. Let w be -5 + (5/1 - s). Let z(h) = 6*h**3 + 3*h - 3. Let q(o) = -o**3 - o + 1. Determine w*z(j) - 3*q(j). -3*j**3 Let p(s) = -11*s**3 + 4477*s**2 - 17*s + 402. Let r(v) = -4*v**3 + 1493*v**2 - 6*v + 142. What is 6*p(a) - 17*r(a)? 2*a**3 + 1481*a**2 - 2 Let o(f) = 2*f**2. Let x(p) = -2*p**2 - p - 1. Let j be x(-1). Let d = -14612 + 14606. Let w(y) = -7*y**2. What is d*o(q) + j*w(q)? 2*q**2 Let b(w) = -80*w**2 - 2*w - 9. Let i(s) = 38*s**2 + s + 4. What is 4*b(p) + 7*i(p)? -54*p**2 - p - 8 Suppose -3*r + 36 - 24 = 0. Let l(b) = -b**2 + 6*b + 2. Let a(x) be the third derivative of x**5/60 - 5*x**4/24 - x**3/6 - 194*x**2. Calculate r*l(o) + 5*a(o). o**2 - o + 3 Let p(l) = -13*l**3 - 13*l**2 - 9*l + 37. Suppose -5*g - 67*g = 21*g + 837. Let k(m) = -3*m**3 - 3*m**2 - 2*m + 9. What is g*k(j) + 2*p(j)? j**3 + j**2 - 7 Let q(i) = 3*i**3 + 2*i**2 + i. Let h(f) = -17*f**3 - 11*f**2 - 4*f - 769. What is h(j) + 5*q(j)? -2*j**3 - j**2 + j - 769 Let h(c) = 15*c**2 - 7*c - 6. Let z(a) = -5*a**2 + 2*a + 2. Let l be -26*(-15)/(-30) - 40/(-2). Determine l*z(d) + 2*h(d). -5*d**2 + 2 Let j(h) = 7*h**2 - 7*h + 5. Let w(q) = q**3 - 7*q**2 - 1. Let y be w(7). Let u = y - -1. Let b(o) = o**2 + 65*o + u*o**2 + 1 - 66*o. Give 6*b(z) - j(z). -z**2 + z + 1 Let n(c) = 64*c**3 - 9*c**2 + 396. Let y(m) = 16*m**3 - 2*m**2 + 79. What is 3*n(l) - 14*y(l)? -32*l**3 + l**2 + 82 Let j(h) = -75*h**3 + 5*h + 3. Let o(g) = 226*g**3 - 17*g - 10. Determine -7*j(z) - 2*o(z). 73*z**3 - z - 1 Let k(i) = 5*i**3 - 16*i**2 - 6*i + 11. Let v(t) = -13*t**3 + 45*t**2 + 17*t - 34. What is -17*k(f) - 6*v(f)? -7*f**3 + 2*f**2 + 17 Let j(q) = -q**3 + 15*q**2 + 21*q - 9. Let b(h) = -7*h**2 - 10*h + 4. Give -13*b(k) - 6*j(k). 6*k**3 + k**2 + 4*k + 2 Let t(n) = -10*n - 2. Let a(q) = 220*q + 45. Let l be 30/((8 - -3)/(-33)). What is l*t(i) - 4*a(i)? 20*i Let r(p) = -4251*p - 2. Let q(n) = 8503*n + 5. Determine 2*q(z) + 5*r(z). -4249*z Let k(w) = -w**2 + 5. Let c(x) = 3*x**2 + x - 11. Let s(h) = 126*h + 507. Let v be s(-4). Determine v*c(p) + 7*k(p). 2*p**2 + 3*p + 2 Let p(b) be the first derivative of b**4/4 - 2*b**3/3 - b**2 - 14. Let f(c) = 4*c**3 - 7*c**2 - 7*c. Suppose -4*v - 48 = -32. What is v*f(t) + 14*p(t)? -2*t**3 Let j(z) = 27*z - 5. Let b(t) be the first derivative of 189*t**2/2 - 36*t + 835. Calculate 5*b(p) - 36*j(p). -27*p Let y(i) = 17*i - 198. Let r(h) = -15*h + 176. Let x(n) = 9*r(n) + 8*y(n). Let k(f) = 11*f**2 + 2*f - 2. Calculate -k(s) + 3*x(s). -11*s**2 + s + 2 Let z(i) = i**3 - 2*i**2 + 8*i - 175. Let p(v) = 10*v**3 - 21*v**2 + 81*v - 1750. Determine 2*p(a) - 21*z(a). -a**3 - 6*a + 175 Let v(a) = 6*a**2 - 12*a + 5. Let k(y) = -7*y**2 + 4*y - 4. Calculate 5*k(c) + 4*v(c). -11*c**2 - 28*c Let r(c) = -5*c + 24. Let p(h) = -20*h + 10*h + 8*h + 8. Let f be (-18)/243 + (8 - (-747)/243). Calculate f*p(u) - 4*r(u). -2*u - 8 Let n(f) = -9*f - 13. Suppose 0 = -23*w + 33*w + 30. Let x(m) = -6*m**3 + 2*m**2 - 2*m + 1. Let t be x(1). Let r(l) = 5*l + 7. Determine t*r(k) + w*n(k). 2*k + 4 Let g(n) = 90*n - 108. Let k(p) = -30*p + 42. Give 3*g(t) + 8*k(t). 30*t + 12 Let g(x) = -2*x. Let d(z) = 8*z + 1315. Calculate d(t) + 5*g(t). -2*t + 1315 Let c(t) = 15*t**3 - 2*t**2 - 36*t + 9. Let b(p) = -p**3 + 4*p - 1. Let f(n) = -10*b(n) - c(n). Let d(s) = -s**3 + s**2. What is -4*d(y) + f(y)? -y**3 - 2*y**2 - 4*y + 1 Suppose 0 = 5*m + 5*v, 48*v = 5*m + 45*v + 40. Let z(r) = -11*r**3 + 7*r**2 + 3*r - 7. Let q(x) = 7*x**3 - 5*x**2 - 2*x + 5. Give m*z(g) - 7*q(g). 6*g**3 - g Let m(x) = -17*x**2 - 2*x - 17. Let d(o) = -12*o**2 - 2*o - 12. Let h(f) = 7*d(f) - 5*m(f). Let t(l) = 2*l**2 - 9*l + 1. Calculate -5*h(b) + 2*t(b). -b**2 + 2*b - 3 Let y(q) = -27*q. Let i(n) = -14*n. Let f be 98/(-245) + 5236/(-10). Let d = f - -519. What is d*i(o) + 3*y(o)? -11*o Let q(m) be the first derivative of 9*m**2/2 + 3*m - 1627. Let x(b) = -b. Give q(y) + 2*x(y). 7*y + 3 Let j(c) = 11976*c. Let b(k) = 81*k. Give 6*b(l) + j(l). 12462*l Let h(d) = 23*d**2 - d. Let c(v) = -2508*v**2 - 66*v. Calculate 2*c(w) - 132*h(w). -8052*w**2 Let h(g) = -g + 10. Let x(z) = -461*z + 51. Calculate -5*h(v) + x(v). -456*v + 1 Let t(l) = -4*l. Let p(x) = 11*x - 196. What is -p(d) - 3*t(d)? d + 196 Let z(s) = -783*s**2 - 6*s + 2. Let d(y) = -2145420*y**2 - 16443*y + 5481. Let n(r) = 6*d(r) - 16443*z(r). Let o(m) = -25*m**2. Calculate -2*n(q) - 189*o(q). 27*q**2 Let h(y) = 5417*y - 2491*y - 2716*y. Let w(l) = -19*l. Determine 5*h(s) + 56*w(s). -14*s Let w(j) = -53*j**2 + 3*j - 14. Let z(x) = 114*x - 6253. Let q be z(55). Let k(i) = -18*i**2 + i - 5. What is q*k(f) - 6*w(f)? 12*f**2 - f - 1 Let a(s) = 15*s**2 + 91*s. Let u(k) = -k**2 + k. Give a(n) + 2*u(n). 13*n**2 + 93*n Let w(r) = -13*r - 128. Let l(s) = -34*s - 385. Determine 3*l(b) - 8*w(b). 2*b - 131 Let h(a) = 211*a + 219*a + 226*a + 1 - 878*a + 221*a. Let g(c) = -3*c**2 - 7*c - 7. What is -g(s) + 6*h(s)? 3*s**2 + s + 13 Let h(x) = 4*x**2 + 3*x + 2. Let i(t) = -362*t - 3255. Let g be i(-9). Let r(w) = -w**2 - 1. Determine g*r(v) + h(v). v**2 + 3*v - 1 Let v = -15701 - -15704. Let k(h) = 13*h + 5. Let d(t) = 7*t + 3. Calculate v*k(p) - 5*d(p). 4*p Let o(q) = q - 3. Let c(j) = 2*j - 8. Let d(x) = x**2. Let n(m) = -3*m**2 + 24*m + 83. Let p(l) =
{ "pile_set_name": "DM Mathematics" }
2 - 13) to m*d + y and give m. 98 Rearrange 2*o**3 + 11*o**3 + 60*o**2 - 60*o**2 - 6 - 6*o**3 to the form y*o**3 + k*o + l + w*o**2 and give y. 7 Rearrange -2*z**2 + 106*z**3 + 5*z - 5*z - 66*z**3 to the form l + y*z + q*z**2 + w*z**3 and give q. -2 Express 1 - 29*n**2 + 17*n**2 - 7*n + 11*n**2 in the form r*n + z*n**2 + w and give r. -7 Rearrange -3*h**4 + 8 + 1621*h**2 + h**3 + 0*h**3 - 1619*h**2 + 0*h + 0*h to q*h**4 + n*h + y + g*h**3 + z*h**2 and give z. 2 Express 4*j**3 + 82*j - 4 - 84*j + 2 as x*j**3 + g*j**2 + n*j + v and give x. 4 Rearrange (0 + 0 + 2*z)*(-4 - 4 + 6) + (3 - 6 - 2)*(-54*z + 166 - 166) to s + f*z and give f. 266 Express (-4*b - 9*b + b)*((-b - 5*b + 5*b)*(b - b - b) + 1 - 1 + 2*b**2) as i + t*b**2 + l*b**3 + a*b and give i. 0 Rearrange 167*h**2 - 331*h**2 + 24 - 23 + 166*h**2 + 205*h to the form f*h + w + p*h**2 and give w. 1 Express -27*l + 2 + 31*l + 0 + (0 - 1 - 4*l + 2*l)*(4 - 4 - 7) as s + r*l and give s. 9 Express n - 2 - 23*n**2 + 26*n**2 - n**2 + 75*n**3 + 0*n in the form v + r*n**2 + x*n**3 + j*n and give r. 2 Rearrange -128 + 129 - 6*y**2 + 256 + 14*y**2 - 7*y**2 to the form p + q*y**2 + w*y and give q. 1 Rearrange (2*b**2 + 0*b**2 - 6*b**2)*(-3 + 1 + 3)*(46*b - 44*b - 38*b**2 + 7*b**2) to u + v*b**2 + z*b + s*b**3 + d*b**4 and give d. 124 Rearrange (331*v - 571*v + 523*v)*(-v + 2 - 2)*(-v**2 - v**2 - v**2) to q + s*v**3 + z*v**4 + l*v**2 + d*v and give z. 849 Express (15 - 11 + 14)*(5*r + 3*r + 35*r)*(-2 + 0 - 3) in the form w*r + l and give w. -3870 Express d**2 + 0*d + 0*d**2 + 2 + d + (2 - 16 - 1)*(-11 + 11 - 28*d**2) as x*d + t*d**2 + u and give u. 2 Express (-2 + 0 + 0)*(-2*j**3 + 4*j**3 + 0*j**3) - j**3 + 13*j**3 - 50*j**3 as p*j**3 + s + w*j + o*j**2 and give p. -42 Rearrange -138*g + 73*g + 68*g**3 + 58*g to the form k + l*g**2 + j*g**3 + w*g and give w. -7 Express (5 + 6 + 11)*(-5*n + n + 2*n)*(9 - 1 - 1)*(3 + 2 - 7) in the form x*n + k and give k. 0 Rearrange 14*h**2 + 63*h**3 - 5*h**2 - h - 64*h**3 + 2*h**4 to the form l*h**4 + x*h**2 + q + g*h**3 + d*h and give l. 2 Rearrange (1 - 1 + q)*(5 - 3 - 1) + 55*q - 119*q + 20*q + 3*q - 4*q + 7*q to the form p + c*q and give c. -37 Express 6 - 15 - 972*t + 982*t as b + l*t and give l. 10 Rearrange 221*l + 13*l**2 - 3*l**2 + l**3 - 221*l - 6 to z + t*l + n*l**3 + r*l**2 and give r. 10 Rearrange -423*h - 137046 + 137046 to the form w*h + z and give w. -423 Rearrange 2*r**2 + 24508 + 19*r**3 - 24508 + 6*r to the form s + a*r**3 + y*r**2 + n*r and give n. 6 Rearrange (j**2 - j**3 - j**2)*((0 + 6 - 4)*(7 - 2*j - 7) + (-j - 1 + 1)*(2 + 0 - 4)) to t + d*j**4 + g*j**3 + u*j + x*j**2 and give d. 2 Express -106*h**4 - 2 - h**3 + 196*h**4 - 51*h**4 as l + g*h**4 + b*h**2 + p*h + m*h**3 and give l. -2 Rearrange -q**3 - 4*q - 460*q**2 - 47 + 461*q**2 - 3*q**3 + 0*q + 5*q to the form y*q**2 + h*q**3 + l*q + r and give r. -47 Express (-2 - 3*g + 2)*(5*g - 3 + 3)*(0 - 3 + 1)*(-g + 0*g - g) as l*g + t*g**3 + y*g**2 + s and give t. -60 Rearrange (-6*c**2 + c**2 + 2*c**2)*(0 - 1 + 2)*(-102*c + 20*c + 15*c) to q*c**2 + f + m*c**3 + a*c and give q. 0 Rearrange -4*z**2 + 9*z**2 - z**3 + 0*z**3 - 4 + 4 - 52*z to the form n*z**2 + d*z + h + w*z**3 and give w. -1 Rearrange -4*k - 151*k**2 + 6*k + 6*k + 36*k**2 + k to b*k + d*k**2 + y and give b. 9 Express 1 - 29*t**2 - 10*t**2 - 7*t**2 - 7*t**2 + 79*t**2 + 9*t**3 in the form i*t**2 + o*t + x + m*t**3 and give i. 26 Rearrange 0*s + 0*s - 3*s**2 + (202*s + 216*s - 395*s)*(2*s - s - 3*s) to l*s**2 + m + y*s and give l. -49 Rearrange ((3 + 3 - 5)*(-1 - 5 + 2) - 1 - 1 + 3)*(-1 + 2 + 0)*(2*n - 50 + 50 + (4*n - 3*n + 0*n)*(-5 - 1 + 5)) to the form i + y*n and give y. -3 Rearrange (-h + h - 2*h - 8 + 8 - 2*h + (1 - 2 + 0)*(-3 - h + 3))*(-4*h + 5*h - 3*h)*(-4 + 1 + 7) to the form o*h + d + m*h**2 and give m. 24 Rearrange (-2*y + 1 - 1)*(-6*y**2 + 8*y**2 + 2 - 1) + (3*y**2 + 0*y**2 - y**2)*(-10*y - 6 + 6) to the form t*y**3 + g*y**2 + r*y + x and give t. -24 Express 133*x - 93 - 55 + 153 in the form w + p*x and give p. 133 Express 4 + 2621*c - 41*c**2 + c**3 - 4 - 2622*c in the form h*c + r*c**2 + p*c**3 + j and give h. -1 Express -4*l**4 - 7 + 3 + 3*l**3 + l + 3 + 2 in the form b + i*l + d*l**2 + o*l**4 + n*l**3 and give n. 3 Rearrange (-3*p**3 - 7*p**3 + 124*p**3)*(-9*p - p - 4*p) to the form b*p**2 + z*p + a*p**4 + m + x*p**3 and give a. -1596 Express (-2*b**2 + b**2 - b**2)*(833*b**2 - 61*b**2 + 62*b**2) in the form u + q*b**4 + i*b**2 + k*b + r*b**3 and give q. -1668 Rearrange 5*x - 2*x + 6*x + (0*x - 2*x + 0*x)*(0 + 5 + 0 + 1 + 2 - 4 + (4 - 1 - 2)*(-5 + 1 + 2)) + (-4 + 4 - 4)*(2*x - 2*x + x) to u*x + g and give u. 1 Express -213*j + 2 + 111*j - 4 - 8*j in the form v*j + n and give v. -110 Rearrange -8*j + 2*j + 0*j + 0*j - 2*j + 3*j + (3*j - 4*j + 3*j)*(0 + 2 + 0) - j + j - 2*j + 2 + 2*j - 2 + (2 + 0 + 2)*(0*j + 3*j - 2*j) to f*j + k and give f. 3 Express (-d - 20*d + 8*d + (-3*d + 4*d + 0*d)*(1 + 2 - 2) - 3*d + d + d)*(1 + 3 - 5) in the form y*d + c and give y. 13 Express -8*h**3 - 14*h**4 - 2 - 3*h**3 - 2*h**4 + 12*h**4 as d*h**2 + o*h**4 + p*h**3 + w + g*h and give w. -2 Rearrange (-20*f**2 - f - 19*f**2 + 21*f**2)*(-2*f + 1 - 1) + 0 - 5*f**3 + 3*f**3 + 2 to g*f**3 + c + p*f**2 + b*f and give p. 2 Express (5 + 3 + 4)*(-4*d + 5*d + d)*(0*d**3 - 5*d**3 - 2*d**3) as f*d + r*d**2 + c*d**4 + s*d**3 + q and give c. -168 Rearrange 1 + q**2 - 106*q + 117*q - 10*q**2 to the form b + j*q + u*q**2 and give b. 1 Rearrange (0*x - x + 3*x + (-2*x + 2*x - 2*x)*(-1 + 0 + 0) + 2*x + x - x)*(9 + 8 - 6) to the form c*x + f and give f. 0 Rearrange 245*f + 0 - 244*f + f**4 + 0 + 1 + f**3 to the form l*f**3 + q*f + u + n*f**4 + p*f**2 and give n. 1 Express 130*r**2 - 16*r - 23*r - 2*r**3 + 37*r + 0*r**3 as f*r**2 + t*r + c + v*r**3 and give v. -2 Rearrange -2*a**2 - 11534*a + 4*a**3 + 11538*a - a**3 to m*a + d*a**2 + k + f*a**3 and give m. 4 Rearrange (-3*m**3 - 9*m**3 - 6*m**3)*(3*m - 4*m - 2*m) + 3 + m**4 - 3 to w*m**2 + y*m + k*m**4 + v + i*m**3 and give v. 0 Express 2*z**2 + 6 + 1083*z - 1054*z + 2*z**3 - 6 in the form o*z + p*z**2 + h + n*z**3 and give n. 2 Express 14*r**2 - 106*r**2 - 5162*r**3 + 0 + 5159*r**3 - 1 in the form t*r**3 + o*r + x*r**2 + w and give w. -1 Rearrange (-87 + 285 - 85 + (3 + 1 - 5)*(-3 + 2 - 1) + 7 - 1 - 2)*(4*j - 4*j + j) to y + o*j and give o. 119 Rearrange 513*a - 8 - 37 + 45 to o*a + v and give o. 513 Rearrange -4 + 0 + 4 - 275*u**2 + 333*u**2 to l*u + f + q*u**2 and give q. 58 Express -3*x**4 + x**4 + 5*x**4 + (0*x**2 - x**2 + 3*x**2)*(-1 + 1 + x**2) + 98*x**4 + 74*x**4 - 116*x**4 as s + y*x**4 + i*x**2 + k*x**3 + t*x and give y. 61 Express 103*z - 4*z**2 + z**2 + 40 - 40 as l*z + q*z**2 + x and give l. 103 Rearrange 19 - 5 - 5 - 9 + 783*c to i + l*c and give l. 783 Express -3*p + 32 - 68 + 5*p + 34 - 3*p in the form d*p + a and give d. -1 Express -78463 - 18*m + 78463 as z + c*m and give c. -18 Express l**2 - 101423*l + 6 - 26*l**3 + 101423*l as m + p*l**3 + i*l + t*l**2 and give p. -26 Express 2*p**2 + 48 - 48 + 29*p**3 - 24*p - 59*p + 2*p**4 - 36*p**3 in the form z*p**2 + i + v*p + m*p**3 + h*p**4 and give h. 2 Express 125*f + 10 + 8 + 7 - 28 + 4 in the form l + i*f and give i. 125 Rearrange -j - j**3 - 1185*j**4 + j**2 + 2 + 1177*j**4 + 3*j**3 to l + q*j**4 + p*j**3 + b*j + w*j**2 and give q. -8 Express -11 + 302*f - 346*f - 3 - 9 as u + c*f and give c. -44 Rearrange (0*l + 2*l - 3*l)*(-1 + 1 + 1)*((0 + 2 - 4)*(-33 - 9 + 11) + (-5 + 5 - 1)*(1 - 1 + 1))*(1 - 9 + 1) to the form f + y*l and give y. 427 Rearrange -155 + 80 + 497*v - 1743*v + 75 to the form s + l*v and give l. -1246 Rearrange -4 - 1598*l - 5*l**2 + 8*l**4 + 1597*l + 2*l**2 + 2*l**2 - 2*l**3 to d*l**4 + i*l**3 + f*l**2 + j + n*l and give n. -1 Rearrange 3*o**4 + 2*o**2 + 100 + o + 0*o**2 + 0*o - 4*o**4 + 4*o**4 to the form h*o**3 + u + s*o + j*o**4 + a*o**2 and give j. 3 Rearrange -5787*d + 12068*d - 5754*d + d + 0*d + d + (-3 - 2 + 6)*(0*d + 0*d - 2*d) + 0*d + 0*d - d to the form z + g*d and give g. 526 Rearrange -2*l**3 + 167 - 38606*l + 38604*l - 531 + 4*l**3 to the form z*l + w*l**2 + h*l**3 + g and give g. -364 Express -48*n**3 + 12*n - 54*n**3 + n**2 + 155*n**3 - 52*n**3 as w*n + q + o*n**2 + r*n**3 and give o. 1 Express (8 + 206*q + 2*q**2 -
{ "pile_set_name": "DM Mathematics" }
f(r) - z(r). 2*r**2 - 20*r - 1 Suppose -5*h = -a + 14 + 1, -2*a + 5*h + 10 = 0. Let j(q) = -q**3 - 8*q**2 - 2*q + 6. Let w(p) = -p**3 - 7*p**2 - 2*p + 5. Determine a*j(b) + 6*w(b). -b**3 - 2*b**2 - 2*b Let x(i) = i**3 - i + 1. Let l(b) be the first derivative of 9*b**2/2 + 95*b + 41. Let p be l(-11). Let j(z) = 5*z**3 - 7*z + 7. What is p*j(q) + 28*x(q)? 8*q**3 Let b(x) = 16*x**2 - 6. Let m(i) = -i**3 + 33*i**2 - 42*i + 326. Let a be m(32). Let n(w) = -16*w**2 + 5. Give a*n(y) + 5*b(y). -16*y**2 Let o(m) = -3*m**3 + 1141*m**2 - 4*m - 4. Let i(p) = -7*p**3 + 2281*p**2 - 10*p - 11. Calculate -2*i(x) + 5*o(x). -x**3 + 1143*x**2 + 2 Let k = 26 + -22. Let f(x) = x**2 - x - 1. Let b(c) be the second derivative of c**5/20 - c**4/3 + 2*c**3/3 + 2*c**2 - 392*c. Determine k*f(n) + b(n). n**3 Suppose 4*t + 2*w = -392, 0*t + 2*w + 104 = -t. Let i be (-8)/t*4 - (-35)/3. Let h(a) = -a - 9. Let m(o) = -2*o - 22. Calculate i*h(g) - 5*m(g). -2*g + 2 Let b be -3 + (-1 - 8) + 15. Let v(o) = 26*o**3 - 7*o. Let d(z) = -13*z**3 + 3*z. Give b*v(x) + 7*d(x). -13*x**3 Let l(v) = 8*v - 2. Let a(w) = -45*w - 439. Give a(k) + 5*l(k). -5*k - 449 Let b(s) = s - 1. Let h(y) be the second derivative of -y**3 - 31*y**2/2 - 9680*y. Calculate 4*b(k) + h(k). -2*k - 35 Let n(s) = s**2 + 4*s + 1. Let p(b) = b**2 - 16*b + 4. Let w be 15/(-40) - 1310/(-80). Let c be p(w). Let q(a) = -a**2 - 3*a - 1. Calculate c*n(u) + 5*q(u). -u**2 + u - 1 Let c(h) = 6*h**2 - h + 1. Let p(r) = r**2 - r + 1. Let q be (8/(32/(-6)))/((-3)/(-2)). Let j be 1*(5 + q - 3). What is j*p(x) - c(x)? -5*x**2 Let l(t) be the second derivative of -t**3/2 - t**2/2 - 629*t + 5. Let x(j) = -4*j - 2. Determine -2*l(m) + 3*x(m). -6*m - 4 Let h(b) = 2148*b**3 - 2*b**2 + 2*b + 4. Let p(a) = 6445*a**3 - 7*a**2 + 7*a + 14. Give 21*h(y) - 6*p(y). 6438*y**3 Let x be (-5 + (-12)/(-4))*-2. Suppose 4*j + 3087 = -5*o + 3044, -4*o + 5*j - 18 = 0. Let v(p) = 14*p - 9. Let z(k) = 7*k - 5. Calculate o*z(i) + x*v(i). 7*i - 1 Let n(p) = -39*p**3 + 5*p**2 - 5*p. Let t(g) = 58*g**3 - 8*g**2 + 8*g. Let b(k) = 268*k - 4012. Let o be b(15). Give o*n(u) + 5*t(u). -22*u**3 Let w(b) = -9*b + 41. Let x(u) = -5*u + 32. Determine 3*w(f) - 4*x(f). -7*f - 5 Let k(z) = z**2 + z + 1. Let y = 8800 + -8799. Let c(w) = 7*w**3 - 5*w**2 - 5*w - 5. What is y*c(n) + 5*k(n)? 7*n**3 Let l(o) = -6*o + 5. Let h(g) = -93 + 8*g - 7*g + 69 + 25. Calculate 3*h(c) + l(c). -3*c + 8 Let x(w) be the third derivative of w**4/12 - 2*w**3/3 + 4*w**2 + 20*w + 186. Suppose -3*m + 12 = -0*m. Let t(d) = 3*d - 4. What is m*t(n) - 5*x(n)? 2*n + 4 Let p(s) = -112*s - 15. Let h(z) = -728*z - 96. Determine -5*h(q) + 32*p(q). 56*q Let s(r) = 38*r**3 + 5*r**2 + 24*r. Let h(q) = -39*q**3 - 6*q**2 - 24*q. Calculate -5*h(a) - 6*s(a). -33*a**3 - 24*a Let x be (-2)/(-1*2) + -2. Let y(i) = 5*i + 72. Let n(u) = 3*u + 41. Let g(j) = -7*n(j) + 4*y(j). Let f(s) = -7*s - 5. Calculate x*f(b) - 3*g(b). 10*b + 2 Let o(f) = 20*f**2 + 17*f - 12. Let a(n) = 7*n**2 + 8*n - 23. Let z(b) = -22*b**2 - 26*b + 79. Let l(y) = -7*a(y) - 2*z(y). Give 9*l(k) + 2*o(k). -5*k**2 - 2*k + 3 Let r(p) = -p. Let g(b) be the first derivative of b**5/30 - b**4/12 + 64*b**3/3 - 14. Let a(i) be the third derivative of g(i). What is -a(s) - 5*r(s)? s + 2 Let n(f) = 80*f**2 + 61*f. Let k(b) = 40*b**2 + 29*b. Let d(u) = 7*k(u) - 3*n(u). Let y(c) = 13*c**2 + 7*c. Give 6*d(m) - 17*y(m). 19*m**2 + m Let x(y) = 1. Let v(q) = -6*q. Determine -v(j) - 5*x(j). 6*j - 5 Let b(w) = 71*w - 20*w - 1 - 26*w - 33*w. Let k(q) = 15*q + 2. Calculate 5*b(d) + 3*k(d). 5*d + 1 Let h(r) = 2*r**2 + 2*r - 1. Let w = -7 + 0. Let t(d) = -1793*d**2 + 1799*d**2 - 2 + 9806*d - 9799*d. Calculate w*h(i) + 2*t(i). -2*i**2 + 3 Let p(q) = q + 24. Let a(u) = 23 + 62*u + 66*u + 60*u + 60*u - 247*u. Calculate 4*a(s) - 3*p(s). s + 20 Let w(l) = 6*l**3 - 2730*l**2 + 5*l + 30. Let s(o) = -o**3 - o - 6. Give 5*s(m) + w(m). m**3 - 2730*m**2 Let z = 170 + -167. Let q(f) = -8*f**z - 6*f**2 - 6*f**2 + 4*f - 4*f. Let d(n) = -3*n**3 - 5*n**2. Give -12*d(k) + 5*q(k). -4*k**3 Let y = 2087 - 2083. Let c(r) = -16*r**3 - 4*r**2 - 4*r - 4. Let u(d) = -111*d**3 - 27*d**2 - 27*d - 27. Determine y*u(z) - 27*c(z). -12*z**3 Let a(k) = -1 - 7*k + 3 + 5*k. Let q = 2 + -8. Let t(m) = m. Let p(u) = 7*u - 1. Let j(c) = q*t(c) + p(c). Determine -2*a(s) - 3*j(s). s - 1 Let a(l) = 18*l**2 + 9*l + 363. Let y(r) = 3*r**2 + 2*r + 3. Calculate -a(b) + 5*y(b). -3*b**2 + b - 348 Let q(w) = -15*w - 1538. Let k(f) = 24*f + 3084. Determine 3*k(t) + 5*q(t). -3*t + 1562 Let i(v) = -47*v + 3714. Let h(f) = 76*f - 5572. Give -5*h(m) - 8*i(m). -4*m - 1852 Suppose 8235*p = 8239*p - 8. Let l(o) = 9*o**2 - 5*o + 2. Let v(b) = b**2 - b + 1. Give p*v(q) - l(q). -7*q**2 + 3*q Let y(p) = 52*p. Let t(h) = -h + 346304767 - 346304767. What is 6*t(o) + y(o)? 46*o Let t(n) = -1456*n + 22. Let h(d) = 4375*d - 62. Give -6*h(v) - 17*t(v). -1498*v - 2 Let o(m) = -17*m**2 - 3*m + 8. Let z(w) = -67*w**2 - 14*w + 36. Give 18*o(k) - 4*z(k). -38*k**2 + 2*k Let g(b) = 4*b**2 + 6*b - 6. Let d(i) = 3*i**2 + 5*i - 5. Let x = 6 - 2. Let l(k) = -x*k - k**2 - k + 6 + 3*k + 3*k. Let w be l(0). What is w*d(p) - 5*g(p)? -2*p**2 Suppose 2*z = -5*n + 26 - 3, -3*z = 3. Let t(w) = -5*w - 8*w**2 - n + w**2 - 3*w**2. Let l(o) = 15*o**2 + 7*o + 7. What is -5*l(f) - 7*t(f)? -5*f**2 Let m(f) = 8*f + 11. Suppose 21 = -s - 5*q, 226*q + 15 = -s + 223*q. Let k(d) = -7*d - 10. Determine s*k(u) - 5*m(u). 2*u + 5 Let m(d) = -7*d**3 - 4*d**2 + 15*d + 2. Let i(a) = -8*a**3 - 6*a**2 + 16*a + 3. Give 2*i(v) - 3*m(v). 5*v**3 - 13*v Let w(s) = -21*s**3 - 6*s**2 - 4*s + 31. Let y(u) = -18*u**3 - 5*u**2 - 3*u + 29. Calculate 5*w(d) - 6*y(d). 3*d**3 - 2*d - 19 Let j(i) = 2*i**3 - 9*i**2 + 3*i - 3. Let h(w) be the third derivative of w**6/30 - 17*w**5/60 + w**4/4 - 5*w**3/6 + 3208*w**2. Calculate 3*h(t) - 5*j(t). 2*t**3 - 6*t**2 + 3*t Let n(i) = 13*i**3 + i**2 + 2*i. Suppose 0 = -2*u + 5*r + 41, -10*u - 34 = -12*u + 4*r. Let f(c) = -14*c**3 - 2*c**2 - 2*c - 1. Calculate u*n(y) + 2*f(y). 11*y**3 - y**2 + 2*y - 2 Let i be ((-6)/4 + 1)*-2. Let u(f) = -3*f**2 + 1. Let y(l) = -72204*l**2 + 48 + 72203*l**2 - l**3 - 47. Calculate i*u(q) - 3*y(q). 3*q**3 - 2 Let p(s) = -3 + 11*s**2 - 2 + 5 + 8 - 4. Let c(m) = -23*m**2 - 6*m - 6. Let y(t) = -t**2 - t. Let x = 5 - 4. Let d(k) = x*c(k) - 6*y(k). Give -5*d(h) - 8*p(h). -3*h**2 - 2 Let o(g) = -3*g - 4. Suppose 3*x - 3 = d, -12 = -6*d + 2*d. Let r(m) be the third derivative of 2*m**4/3 + 7*m**3/2 - 2*m**2 - 23*m. Calculate x*r(p) + 11*o(p). -p - 2 Let a(z) be the second derivative of z**3/6 + 14915*z. Let u(k) = -8*k - 2. What is 2*a(b) - u(b)? 10*b + 2 Let v(i) = 3*i**3 - 2*i**2 + 4*i + 12. Let y(j) = -5*j**2 - 197*j - 270. Let a be y(-38). Let n(z) = z**3 - z**2 + z. Give a*n(s) + v(s). -s**3 + 2*s**2 + 12 Let k(a) = -10*a - 8. Let t(z) = 114*z + 2259. Let r(q) = -7*q - 137. Let i(m) = 33*r(m) + 2*t(m). Suppose -s = -6*s - 5, 54 = -4*h + 2*s. Give h*i(c) + 5*k(c). -8*c + 2 Let f be -1 - (-2 - ((-2)/3 + 42/63)). Let k(h) = -h - 1. Let s(b) = -b - 5. Give f*s(g) - 2*k(g). g - 3 Let p(x) = -42*x**3 - 9*x**2 - 27*x - 74. Let c(y) = 20*y**3 + 4*y**2 + 12*y + 37. Give 9*c(j) + 4*p(j). 12*j**3 + 37 Let h(u) = -2*u + 9. Let j = 1558 + -1554. Let t(q) = 1. Determine j*h(k) - 36*t(k). -8*k Let n(a) = 1. Let j(g) = 2*g**2 + 5*g - 5. Suppose 12*s = -11 + 23. Determine s*j(q) + 4*n(q). 2*q**2 + 5*q - 1 Let m(h) = 9*h + 8. Let d(z) = -1364*z - 16. Give -4*d(x) - 8*m(x). 5384*x Let n(c) = 38279*c**2 + 4545*c - 1515. Let i(x) = -101*x**2 - 12*x + 4. Calculate -1515*i(v) - 4*n(v). -101*v**2 Let z(k) = -12*k**2 - 10*k - 10. Let l = 936 + -766. Let x be l/17 + -3 + (0 - -13). Let t(o) = 0*o**2 + o**2 + 1 + 3*o - 2*o. Calculate x*t(y) + 2*z(y). -4*y**2 Let h(i) = -17 + 11 + 7. Let g(s) = -10*s**2 + 3*s + 14. Let k(n) = -7*n**2 + 3*n + 11. Let z(p) = -3*g(p) + 4*k(p). Give h(o) - z(o). -2*o**2 - 3*o - 1 Let o(l) = -7*l + 47. Let i(v) = -3*v + 23. Let w be 4*9*(-1)/4*(224 + -225). Give w*i(t) - 4*o(t). t + 19 Let h(t) = -2*t**2 - 2*t - 3. Let x(w) be the third derivative of -w**5/15 - 5*w**4/24 - 7*w**3/6 - 19*w**2 - 3*w. Give 9*h(m) - 4*x(m). -2*m**2 + 2*m + 1 Suppose 81 - 80 = -5*k + 2*b, 2*k - 2*b + 10 = 0. Let w(n) = 26. Let f(i)
{ "pile_set_name": "DM Mathematics" }
3. Let k(f) = 16*l(f) + 3*z(f). What is k(s(d))? -8*d**4 Let w(q) be the third derivative of q**5/60 - 11*q**2. Let a(x) = -12*x. Let m(n) = 25*n. Let v(u) = 13*a(u) + 6*m(u). What is w(v(s))? 36*s**2 Suppose -3 = -3*y + 15. Let o(d) = -d - d + y*d. Let i(w) = 2*w**2. Calculate o(i(g)). 8*g**2 Let m(c) = 5*c. Let h = -5 + 12. Let q(j) = 7 - h + j**2. What is m(q(n))? 5*n**2 Suppose s = 4*s - 6. Let m(f) = 3*f + f + s - 2. Let i(z) = z + 0*z - 2*z. Give i(m(x)). -4*x Let i(a) be the third derivative of 1/12*a**4 - 6*a**2 + 0*a + 0 + 0*a**3. Let q(d) = 2 + 5*d - 2. What is i(q(b))? 10*b Let c(h) = 551*h**2. Let g(f) = -f. Calculate g(c(l)). -551*l**2 Let a(f) = 2*f**2. Let t(q) be the first derivative of 2*q**3/3 - 14. Give a(t(v)). 8*v**4 Let f(m) = -m. Let u(b) = -5*b. Let d = 1 - 5. Let z(a) = d*f(a) + u(a). Let g(w) = 3*w**2. Calculate z(g(t)). -3*t**2 Let u(k) = -178*k**2 + 2*k. Let c(w) = -w. What is c(u(n))? 178*n**2 - 2*n Suppose 0 = g + 2*g - 21. Let k(t) = -3*t - 2*t + g*t. Let o(d) = -17*d**2. What is o(k(m))? -68*m**2 Let b(a) be the third derivative of a**4/6 + 20*a**2. Let y(g) be the first derivative of -g**3/3 - 1. Calculate y(b(m)). -16*m**2 Let m(s) = -3*s**2. Let g(u) = -95*u**2. Calculate m(g(v)). -27075*v**4 Let z(j) be the third derivative of j**5/120 - j**3/6 - 3*j**2. Let d(k) be the first derivative of z(k). Let i(l) = l. Determine i(d(f)). f Let u(j) = j - 3. Let v be u(6). Let y = v + 1. Let o(c) = 3*c**2 + 4*c. Let n(t) = t**2 + t. Let g(p) = y*n(p) - o(p). Let q(k) = k**2. Calculate q(g(a)). a**4 Let x(d) = 6*d**2 - d**2 - d**2 - 1 - d**2. Let h(c) = 2*c**2. Calculate h(x(j)). 18*j**4 - 12*j**2 + 2 Let r(f) be the first derivative of 0*f - 1/3*f**3 + 0*f**2 + 7. Let s(p) = -16*p**2. Calculate r(s(d)). -256*d**4 Let i(n) = 3*n. Suppose 3*f = 1 + 5. Suppose 10 = -4*k + 4*p - 2, -5*k = -2*p. Let r(g) = 0*g**f - 3*g**k + 7*g**2 - 3*g**2. Give r(i(x)). 9*x**2 Let i(k) be the first derivative of 13*k**2/2 + 21. Let m(b) = b**2. Give i(m(f)). 13*f**2 Let x(s) = -s - 21. Let y(h) = -2*h**2 - 5*h - 5. Let t(g) = g + 1. Let b(j) = 5*t(j) + y(j). Calculate b(x(u)). -2*u**2 - 84*u - 882 Let b(z) = -4*z. Let c(a) be the first derivative of 0*a**2 + 0*a + 3 + 2/3*a**3. What is c(b(w))? 32*w**2 Let f(a) = a**2. Let j(o) = -151*o**2 + 14*o. Let v(b) = 76*b**2 - 6*b. Let u(w) = -3*j(w) - 7*v(w). What is u(f(q))? -79*q**4 Let g(o) = o. Let a(n) be the second derivative of 31*n**3/6 - 13*n. What is a(g(i))? 31*i Let k = -2 + 5. Let f(i) = -8*i**2 - 4*i - 4. Let q(r) = 7*r**2 + 3*r + 3. Let d(u) = k*f(u) + 4*q(u). Let z(a) = a**2. What is d(z(v))? 4*v**4 Let z(b) be the second derivative of b**4/24 + 9*b**2/2 + 2*b. Let f(o) be the first derivative of z(o). Let h(i) = i. Calculate f(h(r)). r Let y(j) = j**2. Let c(u) = 3*u - 127. Calculate c(y(a)). 3*a**2 - 127 Let l(k) = -8*k**2 + 22*k. Let a(h) = 27*h. Calculate l(a(m)). -5832*m**2 + 594*m Let w(u) = 397*u**2 - 15. Let m(n) = n**2. Give w(m(d)). 397*d**4 - 15 Let q(t) be the second derivative of -t**4/4 + 22*t. Let l = 6 + -1. Let d(i) = 5*i**2 - l*i**2 + 3*i**2. Calculate d(q(g)). 27*g**4 Let c(i) = 2*i. Let f(t) = -2*t. Let x(v) = -5*c(v) - 6*f(v). Let k(l) be the third derivative of -l**5/20 - l**2. What is k(x(y))? -12*y**2 Let w = -6 + 7. Let u(q) = 0 - w + 1 + 2*q. Let v(p) = 3*p**2. Give v(u(z)). 12*z**2 Let t(k) = 3*k. Let v(x) = -14*x + 4*x - 2*x. Calculate v(t(m)). -36*m Let t(f) be the third derivative of -f**4/24 - f**3 - f**2. Let m be t(-8). Let r(h) = 2*h + m - 2. Let o(c) = -c**2. What is r(o(z))? -2*z**2 Let b be 1 - (-2)/((-4)/22). Let l be (-18)/(-5) + (-4)/b. Let y(d) = l - 4 + 5*d. Let h(n) = -2*n. Determine h(y(c)). -10*c Let i(u) = -80*u - 55. Let y be 12/(-16) - 10/8. Let s(v) = 3*v + 2. Let m(z) = y*i(z) - 55*s(z). Let q(o) = -4*o + 10 + 2*o - 10. What is q(m(h))? 10*h Let l(v) = -2*v**2. Suppose 3*k - 4*k = 2. Let j(n) = -n + 2. Let m(z) = -4*z + 5 + z + 0*z. Let f(o) = k*m(o) + 5*j(o). Give f(l(d)). -2*d**2 Let y(g) = g**2. Suppose -m + 6 = 2*m. Let d(c) = 0*c + 2*c**2 - 2*c + m*c. Determine d(y(h)). 2*h**4 Let g(o) = 2*o**2. Let s(i) be the first derivative of -i**6/360 + i**3 + 5. Let n(m) be the third derivative of s(m). What is n(g(q))? -4*q**4 Let u(a) be the third derivative of a**7/1680 - a**5/20 - 11*a**2. Let s(p) be the third derivative of u(p). Let n(t) = -2*t - 3*t**2 + 2*t. Calculate n(s(k)). -27*k**2 Let t(c) = -55*c**2. Let r(x) = 86*x. Calculate t(r(a)). -406780*a**2 Let y(k) = 3*k**2. Let a(f) = -3*f**2 - 541*f. What is a(y(v))? -27*v**4 - 1623*v**2 Let s(f) = -37*f. Let g(q) = -5*q**2 + 7. Let u(n) = -2*n**2 + 3. Let l(j) = 3*g(j) - 7*u(j). Determine l(s(z)). -1369*z**2 Let k(o) = 3*o. Let r(j) be the third derivative of j**5/60 + 10*j**2. Calculate r(k(l)). 9*l**2 Let u(h) = -6*h**2. Suppose -3*c + 6 + 0 = 0. Let k(p) = 5*p**c - 2*p**2 + 2*p**2 - 4*p**2. Determine k(u(i)). 36*i**4 Let w(n) = -7*n. Let c(f) = 16*f. Give w(c(z)). -112*z Let t(b) = -3 + b + 4 + 1 - 4. Let v(i) = -i + 3. Let q(y) = -3*t(y) - 2*v(y). Let d(n) = -n**2. Calculate d(q(w)). -w**2 Let d(g) be the third derivative of g**4/8 + 8*g**2. Let i(w) = 2*w. What is d(i(r))? 6*r Let g(u) = -3*u. Let d(t) be the first derivative of 8*t**3/3 - 2. Calculate d(g(o)). 72*o**2 Let d(m) = -3*m**2 - 4 + 4. Let v be (15 + -5)*2/4. Let g(w) = 7*w**2 - 5*w. Let r(j) = 4*j**2 - 3*j. Let q(n) = v*r(n) - 3*g(n). Give q(d(l)). -9*l**4 Let c(w) = 131*w**2 + w. Let o(x) = -4*x**2. What is c(o(f))? 2096*f**4 - 4*f**2 Let u(v) = 2*v. Let y(h) = -14059*h. What is u(y(m))? -28118*m Let m(r) be the first derivative of -r**2 + 14. Let q(y) = 8*y. Give q(m(w)). -16*w Let s be (-5)/6*20/(-50). Let m(o) be the first derivative of 0*o**2 - s*o**3 - 2 + 0*o. Let j(f) = f**2. Give j(m(r)). r**4 Let n(r) = 4*r**2 + 2*r. Suppose -4 = f + f. Let a(w) = 4*w**2 + 3*w. Let d(x) = f*a(x) + 3*n(x). Let y(z) = -z. Give y(d(m)). -4*m**2 Let v(y) = 2*y. Suppose -2 = -3*n + 2*n. Suppose 0 = -5*i + 5*p + 5, 0 = -n*i - 0*i - p + 8. Let h(j) = 0*j - j + i*j. Calculate v(h(o)). 4*o Let x(j) = 8*j**2. Let w(q) = 23*q**2. Let g(f) = 3*w(f) - 8*x(f). Let n(c) = -2*c**2. Give n(g(a)). -50*a**4 Let u(v) be the third derivative of -v**5/30 - 11*v**2. Let d(n) be the second derivative of -n**3/6 - n. Calculate d(u(l)). 2*l**2 Let w(h) = 7*h. Let a(k) = -4*k**2 + 261*k - 261*k. Calculate w(a(p)). -28*p**2 Let l(r) = 4*r**2. Let k(q) = -q - 2. Let g(p) = 3*p + 5. Let t(m) = 6*g(m) + 15*k(m). Calculate l(t(a)). 36*a**2 Let x(o) = -605*o**2. Let u(r) = -7*r**2. Calculate x(u(g)). -29645*g**4 Let j(s) = 2*s**2 - 2*s**2 - 2*s**2. Let o(p) = -p**2 + 2*p - 2. Let f(l) = -5*l**2 + 11*l - 11. Let w(t) = 4*f(t) - 22*o(t). Determine j(w(y)). -8*y**4 Let d(q) = 94*q. Let k(z) = -z. Determine k(d(b)). -94*b Let h(r) = -r**2. Let x(a) = -a**2 - a. Let z(u) = -u**2 - 2*u. Let s(p) = -2*x(p) + z(p). Determine h(s(i)). -i**4 Let u(q) = -q**2. Let r = 9 + -5. Suppose n - 3*x - 7 = 0, -r*n + 5*x + 20 = -8. Let d(b) = -n - b + 7. What is u(d(w))? -w**2 Let k(x) = 0 - x**2 + 0. Let t(l) = -2*l - 48 + 48. Determine k(t(f)). -4*f**2 Let m(j) = 16*j. Let u(r) = 4*r. Let n(a) = -2*m(a) + 9*u(a). Let x(l) = -8*l + 6. Let k(q) = -q + 1. Let s(v) = -6*k(v) + x(v). Give n(s(c)). -8*c Let m(k) = -k + k + 0*k + k. Let f(y) be the first derivative of 0*y + 1 + 0*y**2 + 4/3*y**3. Give f(m(g)). 4*g**2 Suppose -1 - 2 = -3*g. Let u(o) = 1 + 6*o - g. Let b(f) be the third derivative of f**4/24 - 9*f**2. Give u(b(n)). 6*n Let a(i) = 11384*i**2. Let t(d) = 2*d**2. Give t(a(l)). 259190912*l**4 Let s(q) = -5*q**2. Suppose 2 = -4*h + 5*h. Let y(u) = 3*u**2 - 3*u**h + 2*u**2. Determine s(y(w)). -20*w**4 Let l(d) = 87*d - 15. Let r(s) = 22*s - 4. Let c(o) = -4*l(o) + 15*r(o). Let x(q) = -9 - 68*q**2 + 9 + 70*q**2. Determine x(c(n)). 648*n**2 Let m(i) = -12*i. Let c(h) = -26*h**2 + 55*h**2 - 33*h**2. Determine m(c(x)). 48*x**2 Let v(z) = -5*z. Let u(f) = f**3 - 17*f**2 + 17*f - 16. Let b be u(16). Let k(i) be the second derivative of b + 1/3*i**3 + 0*i**2 - 3*i. Determine v(k(l)). -10*l Let x(h) = -h. Let y(l) = 156*l**2 + 32. Let i(r) = 24*r**2 + 5. Let f(u) = 32*i(u) - 5*y(u). Determine x(f(j)). 12*j**2 Let c(b) = 7*b**2. Let x(l) = 304*l**2 - 153*l**2 - 152*l**2.
{ "pile_set_name": "DM Mathematics" }
irst derivative of -2*p**2 - a*p**4 + 2*p**2 - 5 + 196*p**4 wrt p. -36*p**3 Suppose -3*z = -51 - 6. Suppose z = w + 5*m, m + 0*m - 7 = -w. What is the second derivative of 6*c**4 + 5*c**5 + c - 6*c**w wrt c? 100*c**3 Let j(u) = -20*u**4 - 8*u**3 - 6*u - 1. Let v(r) = -39*r**4 - 15*r**3 - 12*r - 1. Let s(h) = 11*j(h) - 6*v(h). What is the second derivative of s(t) wrt t? 168*t**2 + 12*t Let x(f) = -f + 3. Let p be x(1). What is the third derivative of -6*o**6 - 9*o**2 + 2*o**6 + 24*o**p + o**6 wrt o? -360*o**3 Let q(s) be the second derivative of -15*s + 0*s**2 + 0*s**3 + 2/5*s**5 + 0 - 3/2*s**4. Find the third derivative of q(j) wrt j. 48 Find the second derivative of -48*n - 2965*n**5 + 2936*n**5 - 5*n + 1 - 5*n**4 wrt n. -580*n**3 - 60*n**2 Let c(z) = -z**2 - 1. Let r(h) = -2*h**2 - 5. Let y(m) = -17*c(m) + 6*r(m). Differentiate y(f) wrt f. 10*f Let k(o) be the third derivative of 2*o**7/15 - o**4/4 - 293*o**3/6 - 501*o**2. Differentiate k(r) with respect to r. 112*r**3 - 6 Find the third derivative of -2*b**3 + b**2 - 24*b**2 + 23*b - 162*b**5 + 2*b**3 - 26*b wrt b. -9720*b**2 Let a(d) = d**2 - d - 1. Let p be a(-2). Let y(q) = q**3 - 2*q**2 - 2*q + 2. Let l be y(3). What is the derivative of 2*s**3 - 2 - p*s**3 + l*s**3 wrt s? 6*s**2 Let c(t) be the second derivative of 0*t**4 + 0 + 0*t**3 - 23/20*t**5 - 11*t + 9/2*t**2. What is the first derivative of c(o) wrt o? -69*o**2 Let d(m) be the third derivative of -53*m**7/30 - 81*m**5/20 + 35*m**2 - 2. What is the third derivative of d(z) wrt z? -8904*z Let w(p) = -57*p**3 + 2*p**2 - 7*p - 2. Let h(b) = b**3 - b**2 - b + 1. Let l(n) = -2*h(n) - w(n). What is the second derivative of l(v) wrt v? 330*v What is the first derivative of 177*i**2 - 30*i**3 - i - 86*i**2 - 91*i**2 - 52 wrt i? -90*i**2 - 1 Let r(n) = 17*n**4 + 3*n**2 + 100*n - 3. Let b(j) = -2*j**4 - j**3 - j**2 - j + 1. Let l(g) = 3*b(g) + r(g). Find the second derivative of l(h) wrt h. 132*h**2 - 18*h Let b be (1 - 1)*17/68. Let x(g) be the first derivative of 1 + b*g + g**3 + 1/2*g**2. What is the second derivative of x(z) wrt z? 6 Let u(m) be the second derivative of -25/12*m**4 + 0 + 0*m**2 - 19/30*m**6 + 24*m + 0*m**3 + 0*m**5. Find the third derivative of u(n) wrt n. -456*n What is the first derivative of -70 + 0*u**2 + 15*u - 13 + 2*u**2 - u**2 wrt u? 2*u + 15 Let x be (-9)/(-5 - -2) - -4. Let y = 3 + x. What is the derivative of 7 - n**3 + 2*n**3 - y wrt n? 3*n**2 Suppose -h - 5*a + 15 = -a, h = 3*a - 6. What is the derivative of -h + 6 - 12*f - 20*f + 4 wrt f? -32 Let r(h) be the first derivative of -3*h**7/70 - 5*h**3/6 + 13*h**2/2 - 15. Let f(z) be the second derivative of r(z). Find the first derivative of f(o) wrt o. -36*o**3 Find the third derivative of 11*r**2 + 20*r**2 + 15*r**2 + 46*r**3 - 2*r**4 - 2*r**2 wrt r. -48*r + 276 What is the third derivative of 7*p**3 - 12*p**3 + 77*p**3 - 50*p**2 + 14*p**3 - 19*p**2 wrt p? 516 Suppose 2*u = -10, -u + 3*u + 58 = 3*d. Find the second derivative of 153 - d*c - 153 + 39*c**3 wrt c. 234*c Let r(h) be the second derivative of -71*h**4/12 + h**3/3 - 70*h**2 - 274*h - 1. Find the second derivative of r(i) wrt i. -142 Let q(a) = 9*a + 4. Let r(t) = -17*t - 8. Let w be (-56)/(-6) - 4/(-6). Suppose 23 + w = 3*f. Let y(m) = f*q(m) + 6*r(m). What is the derivative of y(l) wrt l? -3 Suppose -3 = -5*x + 7. What is the first derivative of -x*d - d + 2*d + 3 wrt d? -1 Let h(o) be the third derivative of 19*o**6/24 + 31*o**3/2 - 22*o**2 + 4. What is the first derivative of h(c) wrt c? 285*c**2 Let i(a) = -10*a + 15. Let g = 66 + -68. Let t(s) = s - 1. Let w(p) = g*t(p) - i(p). Find the first derivative of w(v) wrt v. 8 Suppose -48*m = -50*m + 6. Let z(v) be the second derivative of 0*v**4 + 3/20*v**5 + 2*v + 0*v**2 - 1/6*v**m + 0. What is the second derivative of z(j) wrt j? 18*j Let n = -34 + 34. Find the second derivative of 0*v**2 + n*v**2 - v**5 + v + 0*v**2 wrt v. -20*v**3 Let f(m) be the first derivative of -3/2*m**2 + 47 + 3/5*m**5 + 0*m**3 + 50*m + 0*m**4. Differentiate f(k) with respect to k. 12*k**3 - 3 Let c(w) be the first derivative of -13/3*w**3 + 6*w + 0*w**2 - 9. What is the derivative of c(f) wrt f? -26*f Let f be ((-16)/20)/(1/(-30)). Let w = f + -21. Find the third derivative of -11 - 9 - 13*t**w + 20 - 6*t**2 wrt t. -78 Let n(v) be the first derivative of 3*v**6 - v**4/2 - 32*v**2 + 42. What is the second derivative of n(b) wrt b? 360*b**3 - 12*b Let c(j) be the third derivative of 29*j**5/30 - 403*j**4/24 + 317*j**2. What is the second derivative of c(h) wrt h? 116 Let y(j) = -495*j**3 - 282*j**2 - 4*j - 4. Let f(h) = -h**3 + h + 1. Let m(v) = 4*f(v) + y(v). What is the third derivative of m(x) wrt x? -2994 Let h(l) be the third derivative of 2*l**5/5 + 103*l**3/3 - 198*l**2. Differentiate h(v) wrt v. 48*v Let t(d) be the third derivative of 0 - 8*d**2 + 0*d - 1/6*d**5 - 5/24*d**4 + 0*d**3. Find the second derivative of t(z) wrt z. -20 Let h(b) be the second derivative of 0*b**2 + 0 + 31/42*b**7 + 29/6*b**3 + 0*b**5 + 0*b**6 + 0*b**4 - 6*b. Find the second derivative of h(l) wrt l. 620*l**3 Let t(i) = i + 3. Let q be t(0). What is the first derivative of 3 + n**3 + 7*n**3 + 15*n**3 + 0*n**q wrt n? 69*n**2 Let x(z) be the second derivative of -2*z**7/21 + z**5/10 - 253*z**3/6 - 94*z. Find the second derivative of x(j) wrt j. -80*j**3 + 12*j Let l(s) = -2*s**4 - 5*s**3 - 5*s**2 - 7*s - 25. Let r(o) = o**4 + o**3 + o**2 + o. Let h(g) = l(g) + 5*r(g). What is the derivative of h(i) wrt i? 12*i**3 - 2 Let o(k) = -325*k**4 + 8*k**3 + 681. Let q(h) = 975*h**4 - 26*h**3 - 2043. Let w(t) = -13*o(t) - 4*q(t). Differentiate w(v) wrt v. 1300*v**3 Find the first derivative of 24*b**2 + 14*b**2 + 48 + 11*b**2 + 166 wrt b. 98*b Let i(d) = 129*d - 1. Let z(s) = 131*s - 2. Let a(c) = -5*i(c) + 4*z(c). What is the derivative of a(v) wrt v? -121 Let b(c) = -5*c**3 - 5*c**2 - 4*c - 58. Let h(o) = -4*o**3 - 4*o**2 - 3*o - 57. Let z(l) = 3*b(l) - 4*h(l). What is the first derivative of z(t) wrt t? 3*t**2 + 2*t Let k(m) = -m**2 - 17*m - 21. Let u be (-56)/98 + (-115)/7. Let n(g) = 6*g + 7. Let b(h) = u*n(h) - 6*k(h). What is the first derivative of b(w) wrt w? 12*w What is the third derivative of 83*d**3 + 67*d**2 - 122*d**2 + 2 + 75*d**2 wrt d? 498 Let l(t) be the first derivative of 0*t - 1/5*t**5 + 5/2*t**4 - 11 - 4*t**3 - 3/2*t**2. What is the third derivative of l(k) wrt k? -24*k + 60 Let h(z) be the third derivative of z**8/240 + 3*z**5/20 + z**4 - 28*z**2. Let y(t) be the second derivative of h(t). Differentiate y(p) wrt p. 84*p**2 Let b = 13 + -11. Suppose 0 = b*r + 4*y - 52, -2*r = -2*y - 17 - 11. What is the first derivative of -20*q**3 + 4 - 1 + r*q**3 wrt q? -6*q**2 Suppose -85 = 14*n - 85. Let x(p) be the second derivative of 7/20*p**5 - 5/12*p**4 + 0 + 0*p**3 - 2*p + n*p**2. What is the third derivative of x(l) wrt l? 42 Let m(n) = 39*n + 3. Suppose -4*l + 44 = 12. Suppose -2*i + l = 16. Let r(o) = 10*o + 1. Let y(z) = i*m(z) + 15*r(z). Differentiate y(v) with respect to v. -6 Let y(t) be the second derivative of 0 + 0*t**2 + 7/5*t**5 + 26*t + 0*t**4 + 9/2*t**3. What is the second derivative of y(j) wrt j? 168*j Let x(v) be the third derivative of -11/30*v**5 + 0*v**3 + 7*v**2 + 0*v**4 + 0*v**6 + 0 + 13/105*v**7 + 0*v. Find the third derivative of x(n) wrt n. 624*n Suppose 5*z = -2*v + 82, 8*v - 128 = 4*v - z. Let g = v + -18. Find the first derivative of 3 - g + 3*p**3 - p**3 wrt p. 6*p**2 Find the second derivative of -154*w - 185*w**2 + 150*w + 188*w + 99*w + 4*w**2 wrt w. -362 Suppose m = 2*m. Suppose m = 3*b - 4 - 2. Find the third derivative of 3*f**b - f**2 - 5*f**6 + 2*f**2 wrt f. -600*f**3 Let r(i) be the second derivative of 0*i**2 + 9*i + 0*i**3 - 4/5*i**5 + 0 - 7/12*i**4. Find the third derivative of r(l) wrt l. -96 Let v(y) = -54*y**3 - 3*y**2 - 4*y - 7. Let c(g) = 53*g**3 + 3*g**2 + 6*g + 8. Let k(n) = 2*c(n) + 3*v(n). Find the third derivative of k(f) wrt f. -336 What is the second derivative of -10*b**4 - 5*b**4 - 139*b**4 + 90*b wrt b? -1848*b**2 Let h be (-70)/(-15)*(0 - -6). Let g = h - 23. What is the third derivative of -32*x**g - 12*x**2 + 66*x**5 - 30*x**5 wrt x? 240*x**2 Let z(t) = 80*t**3 - 651*t**2 + 8*t - 4. Let w(p) = 161*p**3 - 1300*p**2 + 14*p
{ "pile_set_name": "DM Mathematics" }
third derivative of 8*r**2 - 132*r**4 - w*r**4 + 266*r**4 + 49*r**5 - 2*r wrt r? 2940*r**2 What is the third derivative of -1101*j + 1379*j**4 + 2212*j - 1075*j - 70*j**2 wrt j? 33096*j Let g(d) be the second derivative of 299*d**6/6 + 3745*d**2/2 + 2091*d. What is the derivative of g(i) wrt i? 5980*i**3 Let l(a) = -670*a**3 - 15*a - 23. Let q(m) = 671*m**3 + 13*m + 24. Let y(f) = -3*l(f) - 2*q(f). Find the second derivative of y(u) wrt u. 4008*u Let w(h) = 1414*h**4 + 1358*h**2 + 2*h - 4. Let k(v) = -1416*v**4 - 1358*v**2 - 3*v + 6. Let s(b) = -2*k(b) - 3*w(b). Find the third derivative of s(m) wrt m. -33840*m Let z(j) = 139*j - 1001. Let o(m) = 4*m - 1. Let x(k) = 6*o(k) + 2*z(k). Find the first derivative of x(c) wrt c. 302 Differentiate 188*g**2 - 100*g**2 + 5880 + 160*g**2 - 140*g**2 - 6*g wrt g. 216*g - 6 What is the third derivative of -1567 + 2*p**2 + 510*p**3 - 733 + 307*p**3 - 79*p**3 + 616*p**3 wrt p? 8124 Let c(m) = -79*m**3 - 11*m**2. Let y(w) = -159*w**3 - 23*w**2. Let s = -8 - -2. Let x(z) = s*y(z) + 11*c(z). What is the third derivative of x(i) wrt i? 510 Let s(b) = 5*b + 4. Let c be s(0). Let i(j) = -73*j + 42. Let t(f) = f + 1. Let q(n) = c*t(n) - i(n). Find the first derivative of q(m) wrt m. 77 Find the third derivative of -1041*n**2 + 2060*n**2 - 1039*n**2 - 6 - 1036*n**5 wrt n. -62160*n**2 Let b = -24176/5 - -4836. Let z(v) be the first derivative of 0*v**4 + 5*v**3 - b*v**5 - 22 + 0*v + 0*v**2. Find the third derivative of z(d) wrt d. -96*d What is the third derivative of -7 - 81*w**2 + 17 - w + 59984*w**3 - 68573*w**3 wrt w? -51534 Let u = -185 - -250. What is the derivative of u - 15*m + 11*m - 11*m - 15*m wrt m? -30 Let c(g) = -68 - 68 - 63 - 18*g + 266 - 174*g**2 - 63. Let x(o) = o**2 - 2*o. Let t(w) = -c(w) + 3*x(w). What is the second derivative of t(m) wrt m? 354 What is the second derivative of -401438 + 477*o**2 + 284*o**2 + o**4 - 57*o + 401442 wrt o? 12*o**2 + 1522 Differentiate 772104*a - 2975 + 1254*a**2 + 593 - 772104*a with respect to a. 2508*a Let s(z) = 3766*z - 9308. Let p(l) = -22596*l + 55769. Let u(k) = 6*p(k) + 37*s(k). Differentiate u(m) with respect to m. 3766 Let j(b) be the first derivative of 20*b**4/3 + 251*b**2/2 + 183*b + 78. Let y(q) be the first derivative of j(q). What is the first derivative of y(i) wrt i? 160*i Let q(y) = 80*y - 152. Let r(f) = -39*f + 76. Let k be (-18)/(-3) + (5 - 2)/(-3). Let p(d) = k*r(d) + 2*q(d). Differentiate p(l) wrt l. -35 Let i(n) be the third derivative of 1/14*n**7 + 170*n**2 - 13*n**3 + 0 + 0*n + 0*n**4 + 0*n**6 + 1/60*n**5. Differentiate i(k) with respect to k. 60*k**3 + 2*k Suppose -q + 0*q + 3*g + 49 = 0, -q + 2*g = -52. Find the first derivative of 28*p - 24*p + q - 21*p - 39*p wrt p. -56 Let o(k) = -3*k**2 + 42*k + 4. Let h = 135 + -138. Let r(z) = -3*z**2 + 41*z + 3. Let w(v) = h*o(v) + 4*r(v). What is the second derivative of w(f) wrt f? -6 What is the third derivative of -2*p**4 - 1100*p**3 + 197688*p**2 - 197695*p**2 + 2*p**4 + 88*p + 5*p**5 - 4*p**5 wrt p? 60*p**2 - 6600 Let w be (-75)/(-20) + -4 + 2/8. Let l(c) = -2*c + 14. Let j be l(w). What is the first derivative of -44 - 39 + 91 - j*o**3 wrt o? -42*o**2 Let v(p) be the second derivative of 0*p**3 + 0 + 0*p**4 - 127/2*p**2 + 1/4*p**5 - 55*p. Find the first derivative of v(s) wrt s. 15*s**2 Let i(b) = b**2 + 13*b - 1. Let p(m) = -368*m**2 + 1378*m + 3. Let k(t) = -3*i(t) - p(t). What is the second derivative of k(z) wrt z? 730 What is the third derivative of 3*b**5 - 3218*b**2 - 10581*b**3 + 5337*b**3 + 5593*b**3 wrt b? 180*b**2 + 2094 Let a(z) = 4938*z + 3976. Let o(y) = -4*y + 6. Let d(c) = -a(c) - 10*o(c). Find the first derivative of d(k) wrt k. -4898 Let h(b) be the third derivative of -1531*b**9/252 - 1729*b**5/30 + 31*b**2 - 3*b. What is the third derivative of h(a) wrt a? -367440*a**3 Let p(c) = 1036*c**4 + 4*c**3 + 4*c**2 + 5. Let d(b) = -2*b**4 - b**3 - b**2 - 3*b - 1. Let j(l) = -4*d(l) - p(l). What is the second derivative of j(m) wrt m? -12336*m**2 Find the third derivative of 513*p**2 - 358*p**2 + 813*p**2 + 1101*p**2 + 4121*p**6 + 2800*p**2 wrt p. 494520*p**3 Let r be (-69)/(-6) - (-7)/(-14)*-3. Find the second derivative of -10 - 6*k - 10*k**3 - r*k**3 + 29*k**3 - 7*k**5 - 12*k**3 - 5*k**3 wrt k. -140*k**3 - 66*k Let i(x) be the first derivative of -40*x**2 - 11/2*x**4 + 0*x - x**3 + 41. What is the second derivative of i(h) wrt h? -132*h - 6 Let i(v) = 19*v - 58. Let j be i(3). Let q(y) = -78*y**2 + y - 1. Let x(z) = -z**2 + z. Let f(a) = j*q(a) + 5*x(a). Find the second derivative of f(m) wrt m. 146 Let l(b) be the second derivative of 7*b**6/30 - b**5/2 - b**4/3 + b**3/2 + 1115*b**2 + b - 10766. Find the second derivative of l(f) wrt f. 84*f**2 - 60*f - 8 Let q(n) be the third derivative of 31*n**8/336 - 8*n**7/105 + 83*n**4/24 + 2*n**3/3 - 1865*n**2 + 1. What is the second derivative of q(s) wrt s? 620*s**3 - 192*s**2 Find the third derivative of -1 - 4*q + 577*q**4 + 4664*q**4 + 5*q - 568*q**2 wrt q. 125784*q Let h(a) = 2*a**2 - 15*a - 22. Let z be h(9). Find the third derivative of z*l**2 + 2*l**3 - 41*l**4 - 7*l**4 - 68*l**2 - 3*l**2 wrt l. -1152*l + 12 Let l(k) be the second derivative of -48*k + 11/6*k**4 + 1/2*k**2 - 67/30*k**6 + 0*k**5 + 2 + 0*k**3. What is the third derivative of l(z) wrt z? -1608*z Suppose 3*b = -2*a + 53, -b + 6*b - 95 = -5*a. Differentiate -36*z**4 + 59*z**4 + b*z**4 + 22*z**4 + 35 wrt z. 240*z**3 Find the third derivative of -6 - 8 - 123*f**2 + 14 - 196*f**4 - 428*f**4 wrt f. -14976*f Let c = 218 - 39. Find the second derivative of c*j - 90*j + 7*j**3 - 91*j - 11 wrt j. 42*j Let t(f) be the second derivative of 8623*f**4/12 + 13*f**3/6 - 37*f**2/2 + 518*f + 4. Find the second derivative of t(q) wrt q. 17246 Let w be 24 - 19 - (-9)/(-3). Find the third derivative of 27*f**w - 37 + 17*f**2 + 339*f**3 + 35 wrt f. 2034 Let i(m) = -m + 68. Let v be i(22). What is the second derivative of 119*o**2 - 9*o + v*o - 52*o**2 wrt o? 134 Suppose -7*g + 18 + 17 = 0. Suppose -u - 4*u + 25 = -4*w, g*u - 25 = w. What is the third derivative of -21*z**u + 4*z**5 - 6*z**5 + 7*z**2 + 5*z**5 wrt z? -1080*z**2 Let q(s) = s**3 + 26*s**2 - 28*s - 21. Let z be q(-27). Find the third derivative of j**3 + 5*j**4 - 8 - z*j**4 - 13 + 3*j**2 + 19 wrt j. -24*j + 6 Let k be (13 - 11) + 4*1/2. Differentiate 82 + 50*v**4 + 3*v**k - 14*v**4 - 13 with respect to v. 156*v**3 Let v = 1465 - 2123. Let d be 2/(-9) - v/126. What is the second derivative of 9*i**5 + 3*i + 5*i**d - 4*i wrt i? 280*i**3 Let f(s) be the second derivative of -s**6/10 - s**3/6 - 626*s**2 - 8489*s. Differentiate f(o) with respect to o. -12*o**3 - 1 Find the second derivative of -3*c + 28571417 + 0*c**2 + 0*c**2 + 4202*c**3 - 28571094 wrt c. 25212*c Let m(v) = 9*v**2 - 41*v - 64. Let y be m(6). Let n(f) be the second derivative of 0 + 6*f**2 + 4/3*f**3 - y*f. Find the first derivative of n(p) wrt p. 8 Let n(t) be the third derivative of -t**7/105 - 667*t**6/120 + t**5/20 + 10861*t**4/24 - 7447*t**2. What is the second derivative of n(c) wrt c? -24*c**2 - 4002*c + 6 What is the second derivative of 1671*g - 5*g**3 - 683*g**2 + 642*g**2 + 64*g - 56*g wrt g? -30*g - 82 Let w = -28 - -31. Suppose -c + 8 = w*c. Differentiate 10 + 7*k**2 + 5*k**4 + 14 - 7*k**c with respect to k. 20*k**3 Let h be (13/((-26)/28))/(0 - 2). Let n(r) = r + 8. Let a be n(-4). Differentiate 25*k**a - 4*k**4 - 15 + h*k**4 with respect to k. 112*k**3 Let v = 36 - 43. Let n(l) = -l**2 - 9*l - 6. Let s be n(v). Differentiate -11*m + s*m - m + 10*m + 7 wrt m. 6 Let j(y) = -y**2 - 18*y - 15. Let i be j(-14). Find the second derivative of 6 - 2*u**4 - 30*u**4 - 7 + i*u - 7*u**4 wrt u. -468*u**2 Let u(v) = 3*v**3 + 5*v**2 + 2*v. Let c(m) = 9672*m**4 + 15*m**3 + 25*m**2 + 10*m + 7675. Let j(r) = c(r) - 5*u(r). What is the derivative of j(w) wrt w? 38688*w**3 Let t = -195 + 267. Find the first derivative of -t - 34*q + 10*q + 19*q + 20*q - 2*q**3 wrt q. -6*q**2 + 15 Let a(m) = 5630*m**3 - 9*m + 11912. Let q(h) = -12667*h**3 + 20*h - 26802. Let x(y) = -20*a(y) - 9*q(y). Differentiate x(w) with respect to w. 4209*w**2 Let p(i) = -1. Let m(y) = 41*y + 24. Let w(k) = -27*k - 16. Let v(c) = -5*m(c) - 8*w(c). Let f(s) = -12*p(s) - 3*v(s). Differentiate
{ "pile_set_name": "DM Mathematics" }
2 wrt v. 1584*y**2 Differentiate 6*n**3*w**2 - 863*n**3 - 86*n*w**3 wrt w. 12*n**3*w - 258*n*w**2 What is the third derivative of 1416*a**4 + 539*a**2 wrt a? 33984*a Find the third derivative of 27*j**3*n**3 + 2*j**3*n**2 + 12*j**2*n**3 + 1469*j**2*n**2 wrt n. 162*j**3 + 72*j**2 Find the third derivative of 23*a**5*y**2 - 28*a**4*y**3 - 335*a**2*y**3 wrt a. 1380*a**2*y**2 - 672*a*y**3 Differentiate 270*u**4 + 148 with respect to u. 1080*u**3 Differentiate 209*d**2 + 111 with respect to d. 418*d What is the second derivative of -4*i**3*o - 32*i**2*o - 10*i*o - o wrt i? -24*i*o - 64*o What is the third derivative of -4*f**5 - 194*f**4 + 46*f**2 - 13 wrt f? -240*f**2 - 4656*f What is the third derivative of -514*a**6 + 287*a**2 wrt a? -61680*a**3 Find the second derivative of -12*g*i**3*k**2 - g*i**3 - 634*g*i**2 - 514*g*i*k**2 + 2*g*k wrt k. -24*g*i**3 - 1028*g*i What is the second derivative of 13401*q**2 - 8124*q? 26802 What is the third derivative of -11092*c**4*h - 36*c**2*h + 17*c wrt c? -266208*c*h What is the third derivative of -3136*x**4 + 10*x**2 - 405*x? -75264*x Find the second derivative of 799*x**4 + 23*x - 3. 9588*x**2 What is the second derivative of 231*a**3*s**2 - 2*a**3*s - 7*a**3 + a**2 wrt s? 462*a**3 What is the third derivative of 68*d**6 - 2*d**3*i**2 - 5*d**3 - d**2 + 882*i**2 wrt d? 8160*d**3 - 12*i**2 - 30 What is the first derivative of -406*k - 288 wrt k? -406 What is the second derivative of -4*u**4 + 92*u**3 - 8931*u? -48*u**2 + 552*u Find the third derivative of 179*a**3 + 17*a**2 wrt a. 1074 What is the third derivative of 1058*x**5 - 1258*x**2 + 2*x? 63480*x**2 Find the third derivative of -1465*o**6 + 179*o**2 + 3. -175800*o**3 What is the third derivative of -5*s**4 - 121*s**3 + 8528*s**2? -120*s - 726 What is the second derivative of 2556*j**2*y**2 - 90*j*y**2 - y**2 + y wrt j? 5112*y**2 What is the first derivative of 422*z**4 - z + 280? 1688*z**3 - 1 Differentiate -f**2*l + f*l*v + 55*f*l + f*v + 7*l*v - 14*l - 3*v with respect to f. -2*f*l + l*v + 55*l + v Find the second derivative of 19*g**2*x + 33*g**2 + 225*g*x + 4*g wrt g. 38*x + 66 Differentiate 2644*o**2 - 2*o - 5141 wrt o. 5288*o - 2 Find the third derivative of -560*h**4 + h**3 + 174*h**2 + h wrt h. -13440*h + 6 Find the second derivative of -2*h**3*k**3 + 3*h**3 + 3*h*k + 34*k**4 - 2 wrt k. -12*h**3*k + 408*k**2 Find the third derivative of -1528*u**6 - 2*u**2 - 275 wrt u. -183360*u**3 Find the second derivative of 887*b**3 - 2*b**2*h**2 - 8*b**2*h + 4*b*h**2 + 82*b + 1 wrt b. 5322*b - 4*h**2 - 16*h What is the derivative of -v**3 + 487*v**2 - 615 wrt v? -3*v**2 + 974*v Differentiate -33*u**2 - 8*u + 841. -66*u - 8 What is the third derivative of 208*a**3*w**3 + 4*a**3*w + 2*w**3 - 62*w**2 wrt w? 1248*a**3 + 12 Find the third derivative of -247*m**3 - 5*m**2 - 6. -1482 Find the third derivative of -21*r**2*v**3 + r**2 + 3*r*v**3 - 10*v**2 wrt v. -126*r**2 + 18*r What is the derivative of -2*h**2 - 909*h + 2005 wrt h? -4*h - 909 What is the third derivative of 2475*p**4 - 6162*p**2? 59400*p Differentiate -1328*v**2 + 72 with respect to v. -2656*v What is the second derivative of -t**3 - 82*t**2 + 215*t wrt t? -6*t - 164 What is the second derivative of -16*r**3*s**2*x + 25*r**2*s**2*x - 3*r*s**2*x + 2*r*s**2 - 9*r*s*x + x wrt r? -96*r*s**2*x + 50*s**2*x What is the derivative of 36*m**2*r**2 - 12*m**2 - 3*m*r**2 wrt r? 72*m**2*r - 6*m*r What is the third derivative of 524*h**6 + 180*h**2 + 2 wrt h? 62880*h**3 What is the second derivative of -26*j*v**2 + 40*j*v + 57*v**2 - 20*v wrt v? -52*j + 114 Differentiate -j**3 + 33*j**2 + 195. -3*j**2 + 66*j Find the third derivative of -28*k**4 - 14*k**3 - 510*k**2. -672*k - 84 Differentiate 157*f + 208. 157 Find the third derivative of 1210*p**6 + 2*p**5 - 2*p**3 + 4236*p**2 wrt p. 145200*p**3 + 120*p**2 - 12 What is the second derivative of -2*y**3 - 121*y**2 + 122*y? -12*y - 242 Find the first derivative of -52*h**2 + 274 wrt h. -104*h What is the derivative of 100*n**3*p - 4*n**3 + 29*p - 3 wrt n? 300*n**2*p - 12*n**2 What is the first derivative of 5*r**2*s**2 - 276*r**2 + 74*r*s**2 + s**2 wrt s? 10*r**2*s + 148*r*s + 2*s What is the third derivative of 4442*g*j**3 - 3*g + 30*j**2 - 9 wrt j? 26652*g Differentiate -3*k**3*m*r**2 - k**3 - 2*k**2*r**2 + m**2 - 13*m*r**2 - 2*r**2 + 98*r wrt m. -3*k**3*r**2 + 2*m - 13*r**2 Differentiate -147*b - 57. -147 What is the derivative of a**2*c*i + 9*a**2*d*i + 81*a**2 + a*c*d*i + 2*c*d*i - 2*c*i wrt d? 9*a**2*i + a*c*i + 2*c*i Find the third derivative of -752*r**4 + 436*r**2. -18048*r What is the third derivative of 5*b**3*h**2*t**3 + 104*b**3*t**3 + 23*b**2*h**2*t**3 + 4*b**2*h**2*t - b**2*h*t**3 + 2*b*t**3 wrt b? 30*h**2*t**3 + 624*t**3 Find the first derivative of 2039*w + 2286. 2039 What is the third derivative of 2*m**4 + 156*m**3 + m**2 - 106 wrt m? 48*m + 936 What is the third derivative of 4114*o**6 - 5627*o**2 wrt o? 493680*o**3 Find the first derivative of -k**4 - 347*k**3 + 31*k - 21730 wrt k. -4*k**3 - 1041*k**2 + 31 What is the third derivative of -2*m**3*t**3*z**3 - 6*m**3*t**2*z**3 - 4*m**3*t*z - 38*m**2*t**3*z**2 - 2*m*z**3 wrt t? -12*m**3*z**3 - 228*m**2*z**2 What is the third derivative of -o**4*p**2 + 31*o**4 - o**3*p - 3*o**2*p**2 - 30*o**2 - 3*o wrt o? -24*o*p**2 + 744*o - 6*p What is the third derivative of 283*c**5 + 17*c**4 - 2*c**2 - 1920 wrt c? 16980*c**2 + 408*c What is the derivative of 5*f*s**3 - 65*f*s**2 - 2475*s**3 wrt f? 5*s**3 - 65*s**2 What is the third derivative of 12304*j**3*n**3 - 1329*j**3*n**2 + 5*j**3 wrt n? 73824*j**3 Differentiate 338*b**4*p**2 + 1193*p**2 with respect to b. 1352*b**3*p**2 Find the second derivative of -3*d**3*f**2*n - 83*d**3 + 18*d*f**2 - 2*f - 2*n wrt f. -6*d**3*n + 36*d Differentiate -315*f**3 - f**2 + 3*f + 6309 wrt f. -945*f**2 - 2*f + 3 Find the second derivative of 9*b**3 - 35*b**2*x + b**2 + 10*b - 5*x wrt b. 54*b - 70*x + 2 What is the derivative of -2*q**2 + 37*q*r + 83*r - 1 wrt q? -4*q + 37*r Find the second derivative of 18*m**2*z**2 - 156*m**2 + 12*m*z**2 - 5*m*z + 3*z**2 - 2*z wrt z. 36*m**2 + 24*m + 6 What is the derivative of -10864*a**2*d**4 - a**2 + 45*a + 2 wrt d? -43456*a**2*d**3 What is the second derivative of 28*s**2 - 597*s? 56 What is the second derivative of -f**3*l - 3*f**3 - 547*f**2*l - 7*f*l + 24*f - 2*l + 2 wrt f? -6*f*l - 18*f - 1094*l Find the second derivative of -g**4 + 12*g**2*q - 2*g**2 - 208*g*q + g wrt g. -12*g**2 + 24*q - 4 Find the second derivative of 14*z**3 + 11*z**2 + 1312*z. 84*z + 22 Find the second derivative of -10*b**3*h*u**2 - 2*b**3*h*u + 63*b**3*h - b**3*u + 143*b**2*h*u**2 - 3*b**2*h*u - b*h*u wrt u. -20*b**3*h + 286*b**2*h Find the third derivative of 3*i**6 - 8*i**5 - 65*i**2 + i wrt i. 360*i**3 - 480*i**2 Find the third derivative of i**3*t**5 - 2*i**3*t**2 + 5*i**2*t**5 + i - 11*t**2 wrt t. 60*i**3*t**2 + 300*i**2*t**2 What is the second derivative of 77*g**5 - 2*g**3 + 3*g**2 - 2012*g + 3? 1540*g**3 - 12*g + 6 What is the second derivative of -77*k**3 + 75*k**2 + 2*k + 1613? -462*k + 150 What is the third derivative of 10*b**5 + 2*b**3 + 2*b**2 + 16? 600*b**2 + 12 Find the second derivative of i**3*q**2 + 185*i**2*q**3 - i**2*q - 7*i**2 + 779*i*q**3 wrt i. 6*i*q**2 + 370*q**3 - 2*q - 14 Find the third derivative of 2*n*o**4*x**2 - 8*n*o**4 - 4*n*o**3*x - 2*n*o*x**2 - n*x**2 + 3*o**2*x**2 wrt o. 48*n*o*x**2 - 192*n*o - 24*n*x Find the first derivative of -4*c**4 - 101*c - 15365 wrt c. -16*c**3 - 101 What is the second derivative of 266*p**4 + p**3 - 4682*p? 3192*p**2 + 6*p What is the second derivative of 1738*g**4 - 1495*g? 20856*g**2 Find the second derivative of -96*f**3*x**2 - 256*f**3*x + 12*f*x**4 - 3 wrt x. -192*f**3 + 144*f*x**2 Find the first derivative of 75*w + 635 wrt w. 75 Differentiate -3*a**3 + a**2 + 6*a - 5042. -9*a**2 + 2*a + 6 What is the second derivative of 2*j**2*s**2 - 1039*j**2*s - 3*j*s**2 - j + 2*s + 78 wrt j? 4*s**2 - 2078*s Differentiate -819*c + 25. -819 Find the second derivative of 13258*c**2 + 10354*c wrt c. 26516 What is the third derivative of 3*a**2*c**3*s**2 + 2*a**2*c**3 + a**2 - 2*a*c*s**2 - c**2 - 22*s**2 wrt c? 18*a**2*s**2 + 12*a**2 What is the derivative of o**3 - 261*o - 460? 3*o**2 - 261 What is
{ "pile_set_name": "DM Mathematics" }
- 5 What is the p'th term of -10, -21, -46, -91, -162, -265, -406? -p**3 - p**2 - p - 7 What is the s'th term of -102, -124, -136, -132, -106, -52, 36, 164? s**3 - s**2 - 26*s - 76 What is the o'th term of 46, 85, 124? 39*o + 7 What is the i'th term of 187, 376, 565, 754, 943, 1132? 189*i - 2 What is the l'th term of -98, -278, -562, -938, -1394? 2*l**3 - 64*l**2 - 2*l - 34 What is the z'th term of 17, 6, -5, -16, -27, -38? -11*z + 28 What is the q'th term of -29, -15, 1, 19, 39? q**2 + 11*q - 41 What is the w'th term of 604, 1213, 1822, 2431, 3040? 609*w - 5 What is the m'th term of 14, -7, -54, -139, -274? -2*m**3 - m**2 - 4*m + 21 What is the p'th term of -941, -942, -943? -p - 940 What is the p'th term of 32, 65, 98? 33*p - 1 What is the t'th term of -44, -142, -292, -488, -724? t**3 - 32*t**2 - 9*t - 4 What is the d'th term of -4, -10, -30, -70, -136, -234? -d**3 - d**2 + 4*d - 6 What is the s'th term of -40, -84, -128? -44*s + 4 What is the f'th term of 135, 269, 403? 134*f + 1 What is the k'th term of -7, -12, -15, -16, -15, -12? k**2 - 8*k What is the o'th term of -25924, -51847, -77770, -103693, -129616? -25923*o - 1 What is the k'th term of -16707, -16705, -16703, -16701, -16699? 2*k - 16709 What is the w'th term of 1, -15, -21, -11, 21? w**3 - w**2 - 20*w + 21 What is the h'th term of -21, -31, -33, -27? 4*h**2 - 22*h - 3 What is the p'th term of 239, 941, 2113, 3755? 235*p**2 - 3*p + 7 What is the f'th term of -295, -248, -201, -154, -107, -60? 47*f - 342 What is the v'th term of -37, -28, -19? 9*v - 46 What is the u'th term of 63, 276, 635, 1140, 1791, 2588? 73*u**2 - 6*u - 4 What is the r'th term of -104, -131, -158? -27*r - 77 What is the k'th term of 189, 388, 591, 798? 2*k**2 + 193*k - 6 What is the h'th term of -13, 35, 73, 95, 95? -h**3 + h**2 + 52*h - 65 What is the z'th term of 4243, 4234, 4213, 4174, 4111, 4018? -z**3 - 2*z + 4246 What is the l'th term of 2, -10, -38, -88, -166, -278, -430? -l**3 - 2*l**2 + l + 4 What is the y'th term of 327, 309, 279, 237, 183, 117, 39? -6*y**2 + 333 What is the j'th term of 51, 100, 149, 198, 247? 49*j + 2 What is the g'th term of 833, 831, 829, 827, 825, 823? -2*g + 835 What is the s'th term of -2, 18, 50, 94? 6*s**2 + 2*s - 10 What is the d'th term of 613, 587, 561, 535? -26*d + 639 What is the q'th term of 169, 327, 485? 158*q + 11 What is the x'th term of -484, -1909, -4284, -7609? -475*x**2 - 9 What is the c'th term of -69, -108, -145, -180, -213, -244, -273? c**2 - 42*c - 28 What is the x'th term of -488, -482, -464, -428, -368? x**3 - x - 488 What is the u'th term of 404, 412, 430, 464, 520, 604, 722? u**3 - u**2 + 4*u + 400 What is the f'th term of 52, 73, 94, 115, 136, 157? 21*f + 31 What is the m'th term of -395, -452, -495, -518, -515, -480, -407, -290? m**3 + m**2 - 67*m - 330 What is the w'th term of 222, 450, 678, 906? 228*w - 6 What is the m'th term of 1471, 2917, 4351, 5767, 7159, 8521? -m**3 + 1453*m + 19 What is the t'th term of -16, -14, -10, -4? t**2 - t - 16 What is the b'th term of 23, 28, 33, 38, 43, 48? 5*b + 18 What is the i'th term of 390, 783, 1176, 1569, 1962? 393*i - 3 What is the i'th term of -3447, -3448, -3449, -3450, -3451? -i - 3446 What is the z'th term of -4, -10, -16, -22? -6*z + 2 What is the l'th term of 257, 239, 221, 203? -18*l + 275 What is the a'th term of 12, 9, 10, 21, 48? a**3 - 4*a**2 + 2*a + 13 What is the p'th term of 4, -23, -98, -245, -488, -851? -4*p**3 + p + 7 What is the c'th term of -437, -401, -365, -329? 36*c - 473 What is the c'th term of -4285, -4286, -4287, -4288, -4289, -4290? -c - 4284 What is the a'th term of 244, 251, 258, 265? 7*a + 237 What is the z'th term of -82, -165, -248, -331, -414? -83*z + 1 What is the m'th term of 19, 21, 25, 31, 39, 49? m**2 - m + 19 What is the n'th term of -13, 12, 85, 230, 471, 832, 1337? 4*n**3 - 3*n - 14 What is the v'th term of -15, -7, 15, 57, 125? v**3 + v**2 - 2*v - 15 What is the y'th term of -27, -56, -85? -29*y + 2 What is the o'th term of -592, -593, -594? -o - 591 What is the n'th term of 6, 35, 84, 153, 242, 351? 10*n**2 - n - 3 What is the n'th term of 111, 116, 121? 5*n + 106 What is the r'th term of -174, -201, -240, -285, -330, -369? r**3 - 12*r**2 + 2*r - 165 What is the z'th term of -22, 0, 22, 44? 22*z - 44 What is the y'th term of 46, 94, 142? 48*y - 2 What is the u'th term of 67, 97, 175, 325, 571, 937, 1447, 2125? 4*u**3 + 2*u + 61 What is the s'th term of 108, 209, 310, 411? 101*s + 7 What is the c'th term of -29, -70, -139, -236, -361, -514? -14*c**2 + c - 16 What is the p'th term of 0, 0, -2, -6, -12? -p**2 + 3*p - 2 What is the v'th term of 81, 161, 241, 321? 80*v + 1 What is the z'th term of 52, 157, 332, 589, 940, 1397, 1972, 2677? 2*z**3 + 23*z**2 + 22*z + 5 What is the n'th term of 358, 720, 1082, 1444, 1806? 362*n - 4 What is the o'th term of 112, 220, 328? 108*o + 4 What is the o'th term of -102, -204, -306, -408, -510, -612? -102*o What is the r'th term of -96, -77, -46, -3, 52, 119? 6*r**2 + r - 103 What is the q'th term of -34, -85, -156, -253, -382, -549, -760, -1021? -q**3 - 4*q**2 - 32*q + 3 What is the i'th term of -29, -48, -69, -92, -117? -i**2 - 16*i - 12 What is the u'th term of -391, -393, -395, -397, -399? -2*u - 389 What is the k'th term of -182, -220, -258, -296, -334? -38*k - 144 What is the i'th term of 17, 40, 101, 218, 409, 692? 3*i**3 + i**2 - i + 14 What is the o'th term of 169, 333, 503, 679, 861, 1049? 3*o**2 + 155*o + 11 What is the m'th term of -34, -63, -92, -121, -150? -29*m - 5 What is the p'th term of 16, -3, -20, -35, -48? p**2 - 22*p + 37 What is the n'th term of 634, 636, 638, 640, 642? 2*n + 632 What is the b'th term of -14, -11, -8, -5, -2, 1? 3*b - 17 What is the p'th term of -439, -879, -1319, -1759, -2199? -440*p + 1 What is the k'th term of 17, 75, 173, 311, 489, 707? 20*k**2 - 2*k - 1 What is the f'th term of -28, -42, -66, -106, -168, -258, -382? -f**3 + f**2 - 10*f - 18 What is the l'th term of 17, 25, 33, 41, 49? 8*l + 9 What is the a'th term of -23, -34, -47, -62, -79? -a**2 - 8*a - 14 What is the a'th term of -242, -490, -738, -986? -248*a + 6 What is the y'th term of 25, 33, 53, 91, 153, 245? y**3 + y + 23 What is the s'th term of 26, 39, 64, 107, 174? s**3 + 6*s + 19 What is the o'th term of 25, 44, 57, 64, 65, 60, 49? -3*o**2 + 28*o What is the n'th term of 37, 183, 423, 757, 1185, 1707? 47*n**2 + 5*n - 15 What is the u'th term of 53, 104, 155, 206, 257, 308? 51*u + 2 What is the i'th term of 704, 703, 702, 701, 700, 699? -i + 705 What is the r'th term of -106, -111, -116, -121? -5*r - 101 What is the k'th term of 283, 284, 285, 286? k + 282 What is the m'th term of 430, 398, 356, 298, 218? -m**3 + m**2 - 28*m + 458 What is the u'th term of 43, 54, 65? 11*u + 32 What is the l'th term of -48, -93, -128, -147, -144, -113, -48, 57? l**3 - l**2 - 49*l + 1 What is the d'th term of 1816, 3647, 5490, 7351, 9236? d**3 + 1824*d - 9 What is the i'th term of -52, -110, -180, -268, -380, -522? -i**3 - 51*i What is the s'th term of -10, -22, -42, -70, -106, -150? -4*s**2 - 6 What is the s'th term of -932, -1862, -2792, -3722? -930*s - 2 What is the d'th term of 162, 309, 470, 651, 858? d**3 + d**2 + 137*d + 23 What is the p'th term of 2705, 5413, 8121, 10829, 13537, 16245? 2708*p - 3 What is the y'th term of 647, 1293, 1939? 646*y + 1 What is the q'th term of -74, -67, -56, -41? 2*q**2 + q - 77 What is the f'th term of 68, 106, 140, 164, 172, 158, 116? -f**3 + 4*f**2 + 33*f + 32 What is the m'th term of 6, 8, 12, 18? m**2 - m + 6 What is the w'th term of -230, -506, -782, -1058, -1334, -1610? -276*w + 46 What is the p'th term of 28, 60, 142, 298, 552, 928? 4*p**3 + p**2 + p + 22 What is the p'th term of -66, -79, -102, -141, -202, -291, -414? -p**3 + p**2 - 9*p - 57 What is the s'th term of -14, -27, -36, -41, -42, -39? 2*s**2 - 19*s + 3 What is the h'th term of 157, 156, 153, 148, 141, 132, 121? -h**2 + 2*h + 156 What is the g'th term of -2140, -8552, -19240, -34204, -53444, -76960, -104752? -2138*g**2 + 2*g - 4 What is the x'th term of 3, 11, 25, 45? 3*x**2 - x + 1 What is the l'th term of 37, -63, -229, -461, -759? -33*l**2 - l + 71 What is the h'th term of -578, -1173, -1768, -2363, -2958? -595*h + 17 What is the g'th
{ "pile_set_name": "DM Mathematics" }
) + 3*i(v). Factor k(a). 3*(a + 1)*(a + 8) Let w = -3344185/11 + 304017. Solve w*m**2 - 10/11*m + 8/11 = 0 for m. 1, 4 Suppose 5*o + q + 178 - 64 = 0, 88 = -4*o - 4*q. Let l be 32 + o + 2*-3. Suppose 10/9*k**4 - 8/9 - 2/9*k**5 - 2/9*k**2 - 14/9*k**l + 16/9*k = 0. What is k? -1, 1, 2 Let i(r) be the second derivative of 12*r**2 + 4/5*r**6 + 19/2*r**4 - 1/14*r**7 - 14*r**3 + 0 + 51*r - 15/4*r**5. Factor i(q). -3*(q - 2)**3*(q - 1)**2 Let a be (4 - -1)*24/10. Suppose -7*x - 45 = -a*x. Solve -x - 25*r + 2 - 13 - 5*r**2 = 0. -4, -1 Find p such that -312*p**2 - 3 + 147*p**4 - 180*p + 1277*p**2 - 539*p**2 - 420*p**3 + 30 = 0. 3/7, 1 Let g(u) be the first derivative of 28 + 1250/9*u + 2/27*u**3 - 50/9*u**2. Factor g(f). 2*(f - 25)**2/9 Suppose -240218*y + 240094*y + 372 = 0. Suppose -1/2*d**5 - 25 + 5*d**3 - 26*d**2 - 105/2*d + y*d**4 = 0. Calculate d. -2, -1, 5 Let z(k) be the third derivative of -k**5/30 + 7*k**4 - 83*k**3/3 + 497*k**2. Factor z(i). -2*(i - 83)*(i - 1) Let i(r) be the second derivative of r**4/6 + 445*r**3/3 - 894*r**2 - 11*r + 314. Factor i(z). 2*(z - 2)*(z + 447) Let p(z) be the third derivative of 5*z**7/28 - 21*z**6/8 + 57*z**5/5 - 79*z**4/8 + 15*z**3/4 - z**2 - 27*z + 32. What is r in p(r) = 0? 1/5, 3, 5 Let t be 0/(-1*(2 + 0)). Suppose -10*l = 5*j - 9*l - 244, -j + 64 = 4*l. Find b, given that 4*b**4 - 23*b + j*b**2 + 0*b**4 + t*b**3 - 9*b - 24*b**3 = 0. 0, 2 Suppose 0 = -3*r + 3, -3*s - 77*r + 78*r = 1. Let m(z) be the second derivative of 0*z**2 + s*z**3 + 0 + 1/5*z**5 - 9*z + 0*z**4. Factor m(c). 4*c**3 Suppose 0 = -2*s + 4*i + 8, -5*i = s + 6 - 3. Find u, given that -8*u**3 - 23*u**3 - 25*u - 4*u**3 + 5*u**4 + 55*u**s = 0. 0, 1, 5 Let a(n) be the first derivative of -n**3/4 - 3*n**2/8 + 3*n/2 - 1376. Find p such that a(p) = 0. -2, 1 Let q(n) be the third derivative of -2 + 3/40*n**6 - 3/8*n**4 - 13*n**2 + 0*n - 1/4*n**5 + 2*n**3 + 1/70*n**7. What is l in q(l) = 0? -4, -1, 1 Let u(g) = 27*g**2 - 189*g - 2035. Let o(d) = 5*d**2 - d + 1. Let t(i) = 10*o(i) - 2*u(i). Suppose t(j) = 0. Calculate j. -10, 102 Let o be 13/(-1)*(7 - (-966)/(-182) - 2). Solve -27/4*a**3 - 19/4*a**2 + 0 + a**5 - a - 2*a**o = 0 for a. -1, -1/2, 0, 4 Let g(k) = 55*k**4 - 212*k**3 + 1782*k**2 - 4752*k + 4107. Let o(z) = -36*z**4 + 212*z**3 - 1782*z**2 + 4752*z - 4106. Let x(b) = 2*g(b) + 3*o(b). Factor x(f). 2*(f - 3)**2*(f - 2)*(f + 114) Let u(w) be the first derivative of 2*w**6/3 + 12*w**5 + 63*w**4 + 108*w**3 + 78. Let u(n) = 0. Calculate n. -9, -3, 0 Suppose -l - 9*l + 45 = -3*a - 7*l, 17*l - 289 = 0. Factor 2/3*g**3 + 19/2*g - 14/3*g**a - 6. (g - 4)*(2*g - 3)**2/6 Suppose -310 = -23*l + 472. Suppose -l*p + 102 = -0*p. Factor -2/3*w**4 + 0*w + 0 + 4/3*w**2 + 2/3*w**p. -2*w**2*(w - 2)*(w + 1)/3 Let d(q) be the second derivative of q**6/6 - 5*q**5/4 - 140*q**4/3 - 490*q**3/3 - 1019*q. Determine m so that d(m) = 0. -7, -2, 0, 14 Let a(k) be the third derivative of -k**5/180 + 365*k**4/72 - 521*k**2. Factor a(l). -l*(l - 365)/3 Determine x, given that 110592 + 168*x**2 - 2007*x - 6350*x + 195*x**2 + 1121*x - 5436*x = 0. 192/11 Let l(j) be the second derivative of -j**5/12 - 25*j**4/24 - 5*j**3 - j**2/2 - 14*j. Let x(y) be the first derivative of l(y). Factor x(f). -5*(f + 2)*(f + 3) Suppose 3*j - 31 = -5*i, 2*i = 13 - 3. Determine y so that -18*y + 41 + y**2 + 0*y**j + 0 + 4 = 0. 3, 15 Let g be ((-11 - -3)/(-4))/((-16)/(-24)). Determine t so that -18 + 2*t**5 + 10*t**4 - 6*t**3 + 20*t**2 - 12*t**4 + 2*t**g + 18*t - 16*t**3 = 0. -3, -1, 1, 3 Let s(w) be the third derivative of w**6/300 - 8*w**5/75 - 77*w**4/60 - 4*w**3 + w**2 + 1549*w. Factor s(n). 2*(n - 20)*(n + 1)*(n + 3)/5 Let i(j) be the third derivative of -5*j**8/336 - j**7/6 + j**6/12 + 23*j**5/6 - 325*j**4/24 + 125*j**3/6 - 62*j**2. Factor i(w). -5*(w - 1)**3*(w + 5)**2 Solve 135*f - 9/2*f**4 - 54*f**2 - 39*f**3 - 75/2 = 0. -5, 1/3, 1 Let d be 1/(-2)*0/151. Let u(c) be the first derivative of d*c**4 - 18/7*c**2 - 22/21*c**3 - 16/7*c + 2/35*c**5 + 6. Find k, given that u(k) = 0. -2, -1, 4 Let s be ((-14)/(-28))/(1/6). Find v such that 985*v**s + 4*v**4 + 28*v**2 - 32 - 1009*v**3 + 5*v + 27*v - 8*v = 0. -1, 1, 2, 4 Let n be ((-38)/(-475))/((-20)/(-110) - 12/(-55)). Solve -9/5*g - 14/5 - n*g**2 = 0. -7, -2 Let v be -38 + 87 - (5 + -2). Suppose -38*z**3 + 40*z**2 - 12 + 27*z**3 + 29*z**3 - v*z = 0. Calculate z. -3, -2/9, 1 Let m be (186 + (-180700)/973)/(6/(-14) + 1). Solve -9/2*s**2 + 0 - m*s**3 - 4*s = 0. -8, -1, 0 Suppose -124*f**2 - 30*f**3 - 184/3*f + 54*f**4 - 16/3 = 0. What is f? -2/3, -1/9, 2 Suppose 487 = 6*o + 259. Factor 18*p**2 - 17*p**2 + o - 20 - 9*p. (p - 6)*(p - 3) Suppose 0 = 53*b + 54 - 266. Let t(u) be the second derivative of 1/90*u**b + 0 - 4*u - 4/15*u**2 + 0*u**3. Factor t(y). 2*(y - 2)*(y + 2)/15 Let f = -564802 + 273364895/484. Let l = f - 1/484. Suppose -3/2*n**2 + l*n**3 - 3/2*n + 3/2 = 0. What is n? -1, 1 Suppose 12*d + 2*d = 14. Suppose -65*b - d = -1. Factor 0 - 2/9*a**3 + 0*a**2 + 2/9*a**5 + b*a + 0*a**4. 2*a**3*(a - 1)*(a + 1)/9 Let w be (-1)/2 + 45/10. Factor -2*a + 5*a + w*a - 4*a**3 + a + 4*a**2. -4*a*(a - 2)*(a + 1) Let a(r) be the first derivative of -2*r**5/15 + 7*r**4/3 - 106*r**3/9 + 16*r**2/3 + 56*r + 5334. Solve a(s) = 0 for s. -1, 2, 6, 7 Let a(f) = 11*f**4 - 11*f**3 - 2*f**2 - 4. Let l(g) = -9*g**4 + 9*g**3 + 3*g**2 + 3. Let o(k) = 3*a(k) + 4*l(k). Suppose o(h) = 0. What is h? -1, 0, 2 Let t(p) be the first derivative of 5/6*p**4 - 4 + 1/12*p**5 + 10/3*p**3 + 0*p - 39/2*p**2. Let c(z) be the second derivative of t(z). Solve c(j) = 0. -2 Suppose 0 = 59*g - 42*g - 255. Suppose 5*s - y = 25, 16*s - y + g = 19*s. Solve 3*j**4 + 0*j + 4/3*j**s + 1/3*j**2 + 2*j**3 + 0 = 0 for j. -1, -1/4, 0 Suppose -2*l + 0*d + 7 = -3*d, l = d + 3. Factor -152*y**3 - 4*y**l + 148*y**3 - 2*y + 0*y**4 - y**4 - y**2. -y*(y + 1)**2*(y + 2) Suppose -9*f + 2*f = -105. Suppose 180*s**3 + 170*s**2 + 37*s**5 - f*s**5 + 21*s**4 + 55*s + 49*s**4 - 17*s**5 = 0. What is s? -11, -1, 0 Let a(o) be the second derivative of 0 + 0*o**2 + 0*o**3 + 62*o - 1/70*o**5 + 1/14*o**4. Factor a(c). -2*c**2*(c - 3)/7 Let l(f) = -3*f**2 + 18*f - 45. Let s be l(3). Let g be 29 + -23 + 100/s. Factor 2/3 - 2/9*j**2 + g*j. -2*(j - 3)*(j + 1)/9 Determine t so that -11305*t + 54473 - 71*t**2 + 826*t**2 - 14048 + 5*t**3 = 0. -165, 7 Let c(w) = -3*w**4 + w**3 + 2*w**2 - 4*w + 1. Let l(t) = 16*t**4 + 13*t**3 + 59*t**2 - 68*t - 5. Let a(k) = -10*c(k) - 2*l(k). Factor a(q). -2*q*(q - 1)*(q + 8)*(q + 11) Let y(q) be the first derivative of 5*q**3/3 - 565*q**2/2 - 1879. Factor y(p). 5*p*(p - 113) Let g(p) = 27*p**4 + 501*p**3 + 232*p**2 + 20*p + 5. Let s(q) = q**4 - q**3 + 2*q**2 + 2*q - 1. Let b(t) = -g(t) - 5*s(t). Factor b(k). -2*k*(k + 15)*(4*k + 1)**2 Let g(h) be the first derivative of 1/3*h**3 - 27/2*h**2 + 0*h + 186. Factor g(o). o*(o - 27) Let o(c) be the first derivative of 0*c**2 - 6 + 0*c**4 + 1/20*c**5 - 10*c - 1/6*c**3. Let a(n) be the first derivative of o(n). Factor a(w). w*(w - 1)*(w + 1) Suppose 88 = -a + 92. Suppose 604*s - 299*s - 305*s - 5*s**a + 5*s**2 = 0. What is s? -1, 0, 1 Let n(c) be the second derivative of 1/3*c**3 + 1/3*c**4 + 0*c**5 + 0*c**2 - 2/15*c**6 + 37*c + 0 - 1/21*c**7. Determine v, given that n(v) = 0. -1, 0, 1 Factor -13428/7*p**2 - 5604672636/7 + 15025932/7*p + 4/7*p**3. 4*(p - 1119)**3/7 Let b(i) be the second derivative of -7*i**5/5 - 1027*i**4/3 + 196*i**3 - 831*i. Suppose b(o) = 0. Calculate o. -147, 0, 2/7 Factor 224*g**2 - 1520*g + 145*g**2 + 20*g**3 + 70 + 367*g**2 - 144*g**2 + 442. 4*(g - 2)*(g + 32)*(5*g - 2) Solve -1/3*s + 6*s**2 + 1/3*s**3 - 6 = 0 for s. -18, -1, 1 Let z(x) = x**2 - 411*x - 4022. Suppose -2*p + 2*h = 26, -13*p = -11*p + h + 20. Let y(r) = -r**2 + 206*r + 2012. Let l(t) = p*y(t) - 6*z(t). Factor l(w). 5*(w + 20)**2 Let f(a) be the third derivative of -a**7/420 - 2*a**6/45 + 3*a**5/20 - 81*a**3/2 - a**2 - 20. Let b(v) be the first derivative of f(v). Factor b(p). -2*p*(p - 1)*(p + 9) Suppose -112/3 + 2/9*x**3 + 28/9*x**2 - 310/9*x = 0. What is x? -21, -1, 8 Let l(r) be the second derivative of -2*r + 2/5*r**2 - 1/15*r**4 + 1/25*r**5 - 52 - 2/15*r**3. Let l(x) = 0. What is x? -1, 1 Let t(j) be the second derivative of j**4/15 + 164*j**3/3 - 822*j**2/
{ "pile_set_name": "DM Mathematics" }
. Let v(m) be the third derivative of m**4/6 - 25*m**2. Determine s(v(j)). -160*j**2 Let k(d) = -4*d**2. Let p(y) = -3*y**2. Let t(u) = -6*k(u) + 7*p(u). Let l(q) = 7*q. What is t(l(j))? 147*j**2 Let y(c) = c. Let r(h) = 12*h. Let d(v) = -2*r(v) + 27*y(v). Let m(u) = -3*u**2. Calculate d(m(o)). -9*o**2 Let l(w) be the first derivative of w**3/3 + 18. Let z = 1 + 2. Let c(q) = -3*q - 2*q + z*q. Determine l(c(g)). 4*g**2 Let d(m) = -8*m**2. Let x(y) = -3*y + 3 - 3 + y**2. Let g(k) be the second derivative of k**4/12 - 5*k**3/6 - 10*k. Let v(a) = -3*g(a) + 5*x(a). Give d(v(t)). -32*t**4 Let c(p) = 1 - 3 + 1. Let k(s) be the second derivative of -s**3/6 + 5*s**2/2 + s. Let u(x) = 5*c(x) + k(x). Let g(r) = r**2. What is u(g(b))? -b**2 Let b(h) = h + 63. Let s(u) = -u**2. What is b(s(v))? -v**2 + 63 Let k(p) be the first derivative of -23*p**2/2 - 29. Let c(a) = 2*a**2. Give c(k(n)). 1058*n**2 Let d(b) = 3*b - 2. Suppose 4*j + 3*s = 16, j + 1 = -5*s + 5. Let y(k) = -4*k + 3. Let m(c) = j*y(c) + 6*d(c). Let g(p) = 2*p. What is g(m(h))? 4*h Let v(l) = 4*l**2. Let h(b) be the second derivative of 2*b**4/3 - 16*b. Give v(h(m)). 256*m**4 Let b(q) be the second derivative of -q**4/12 + 5*q**3/6 + 30*q. Let t(k) = k. What is t(b(d))? -d**2 + 5*d Let g(d) = d - 838. Let m(s) = s. Give m(g(l)). l - 838 Let v(c) = 234*c. Let r(u) = -2*u**2. Determine v(r(f)). -468*f**2 Let o(x) = -9*x - 5. Let g(m) = -14*m - 8. Let n(k) = 5*g(k) - 8*o(k). Let i(j) = 16*j. Give i(n(a)). 32*a Let o(h) = -2*h. Let d(w) = 29*w. Give o(d(y)). -58*y Let u(x) = -x + 1. Let y(w) = 5*w - 2. Let n(i) = -2*u(i) - y(i). Let o(l) = -5*l. Determine o(n(c)). 15*c Suppose 0 = -5*i - n + 22, 4 = 2*i - n - n. Let u(x) be the third derivative of 0*x**3 + 0 + i*x**2 + 0*x + 1/12*x**4. Let z(t) = -5*t. Calculate z(u(v)). -10*v Let j(g) = 58*g. Let o(q) = -7*q**2. What is o(j(u))? -23548*u**2 Let b(s) = -159*s. Let t(z) = -2*z**2. Give t(b(x)). -50562*x**2 Let p(o) = -2*o**2. Let g(z) be the second derivative of z**7/840 + z**4/12 + 4*z. Let d(u) be the third derivative of g(u). Determine p(d(h)). -18*h**4 Let s(a) = a**2. Let c(l) be the second derivative of -l**4/12 - 2*l**3/3 - l**2/2 - l. Let h be c(-3). Let t(o) = -h*o**2 - 2*o**2 + 2*o**2. What is t(s(m))? -2*m**4 Let y(i) be the second derivative of -i**3/2 - i. Let g(l) = -2*l**2. Determine y(g(z)). 6*z**2 Let w(q) = -6*q. Suppose -5*i + 0*g + g + 35 = 0, -2*i + 32 = -4*g. Suppose -4*m = 2*p - i*p - 16, 0 = 3*m - 12. Let j(y) = -y + p*y + 0*y. Determine w(j(a)). 6*a Let b be (-2)/(-6) + 4/6. Let w(l) = l - 1. Let x(j) = 3*j - 2. Let d(q) = b*x(q) - 2*w(q). Let z(s) = 5*s - 2*s - 5*s. Calculate d(z(g)). -2*g Let q(i) = -i**2. Let v(u) = 126*u**2. Determine q(v(b)). -15876*b**4 Let w(o) = 2*o. Let p be -1 - -4*(-1 + 4). Suppose 0 = -2*a + q + 13, -4*q - p = a - 31. Let r(j) = 8*j - a*j + j**2. What is r(w(y))? 4*y**2 Let g(x) = -2*x. Let h(q) = 2*q**2 + q + 104. Determine g(h(y)). -4*y**2 - 2*y - 208 Let x(u) = -2*u. Let b = -8 + 15. Let n(d) = -b*d - 1 + 3 - 2. Give n(x(r)). 14*r Let u(p) = -4*p**2 - 4*p. Let k(f) = 3*f**2. What is k(u(w))? 48*w**4 + 96*w**3 + 48*w**2 Let f(u) = u**2 - u. Let n(v) = 10*v**2 - 30*v. Let t(j) = -30*f(j) + n(j). Let i(h) = -h. What is t(i(a))? -20*a**2 Let m(c) = 2*c. Suppose -28 = -4*p + 5*h, 2*h - 12 - 2 = -2*p. Let b(x) = -p*x - 3*x + 11*x. Calculate b(m(w)). 2*w Let z(b) be the second derivative of -b**4/6 + b - 5. Let i(q) be the first derivative of -4*q**3 - 1. Give z(i(p)). -288*p**4 Let m(g) = 2*g. Let h(c) be the second derivative of c**3/6 - 7*c. What is h(m(t))? 2*t Let j(h) = h. Let p(i) = -3*i**2 - 3*i - 3. Let g(t) = -12*t**2 - 13*t - 13. Let f(n) = -6*g(n) + 26*p(n). Give j(f(z)). -6*z**2 Let b(f) = 8*f**2. Let w(o) = -7*o + 5*o + 4*o. What is w(b(g))? 16*g**2 Let u(h) = -4*h**2. Let o(b) = -247*b. Calculate o(u(q)). 988*q**2 Let b(s) = 181*s**2 - 1. Let q(m) = 7*m. Calculate q(b(z)). 1267*z**2 - 7 Let h(c) = -2*c - 11. Let u(z) = z**2. Give h(u(f)). -2*f**2 - 11 Let t(o) = 3*o**2 - 215*o + 215*o. Let p(l) = 3*l. Determine p(t(f)). 9*f**2 Let h(q) be the first derivative of q**2/2 + 1. Suppose -3*y - 3 = -3*v + 3, -3*v + 6 = 5*y. Let p(w) = 3*w + v - 4 + 2. Calculate p(h(c)). 3*c Let o be 1*-3*(4 - 5). Let j(l) = 2*l - o*l + 3*l. Let x(d) = -d. Let c(s) = -8*s. Let p(h) = 2*c(h) - 20*x(h). Give p(j(z)). 8*z Let j(c) be the first derivative of 0*c**2 - 5/3*c**3 + 0*c - 4. Let q(m) = -m**2. Determine q(j(f)). -25*f**4 Let t(i) = -i**3 - 2*i**2 + i - 4. Let s be t(-3). Let v(p) = -p - 3*p + 4*p + s*p. Let u(r) = -2*r. Give u(v(a)). -4*a Let p(h) = 3*h. Let x(w) be the first derivative of -6 + 1/2*w**2 + 0*w. Calculate x(p(d)). 3*d Let i(j) = 1. Let p(z) = -4*z + 16. Let c(w) = -16*i(w) + p(w). Let y(v) = -v**2. What is c(y(s))? 4*s**2 Let o(a) = -7038*a. Let f(g) = -g. Calculate f(o(j)). 7038*j Let o(k) = 9*k - k - 5*k. Let x(z) = -z**2 - 7. Let w(h) = 2. Let s(d) = 7*w(d) + 2*x(d). Calculate o(s(c)). -6*c**2 Let s(q) = 6*q. Let w(z) = -52*z**2 + 2*z + 54*z**2 - 2*z. Determine w(s(p)). 72*p**2 Let j(l) = 7*l - 5. Let h(a) = -6*a + 4. Let p(d) = 5*h(d) + 4*j(d). Let q(s) = -3*s. Determine p(q(g)). 6*g Let i(y) = -4001*y. Let f(o) = -o. Determine i(f(c)). 4001*c Let x(p) = p**2 + 1. Let t(j) = -9*j**2 - 1. Let g(l) = -3*t(l) - 3*x(l). Let r(w) = -w**2. Determine r(g(u)). -576*u**4 Let j(m) = 4*m**2. Let p = 9 + -3. Let t(v) = -p*v + v + 3*v. Give j(t(r)). 16*r**2 Let d(y) = 4*y**2 - 2. Let f(a) = -5*a**2 + 3. Let x(p) = -3*d(p) - 2*f(p). Let j(n) = -n**2. Calculate j(x(k)). -4*k**4 Let a(x) = 9*x**2. Let w(p) = p + 5. Let f(y) = 1. Let d(h) = 10*f(h) - 2*w(h). Give a(d(k)). 36*k**2 Let a(x) = 16*x. Let b(h) = -47*h**2 - 42*h**2 + 92*h**2. Calculate a(b(f)). 48*f**2 Let c(n) = -6*n + 5*n + 8*n. Let a(w) be the second derivative of -w**3/6 + 2*w. What is c(a(z))? -7*z Let w(f) = -9*f. Let u(a) = -a. Let g(q) = -15*q. Let m(n) = -g(n) + 5*u(n). Let x(o) = 3*m(o) + 4*w(o). Let d(k) = k + 2*k - 4*k. Determine d(x(c)). 6*c Let s(j) = 5*j + j + 3*j - 7*j. Let w(o) = 8*o - 2. Determine w(s(n)). 16*n - 2 Let d(k) be the first derivative of -15*k**2/2 + 16. Let m(v) = 2*v. Determine d(m(u)). -30*u Let x(w) = -7*w**2 + 6*w - 6. Let p(t) = 2*t - 13*t**2 - 11 + 9*t + 0*t + 0*t. Let n(r) = -6*p(r) + 11*x(r). Let f(i) = -3*i**2. Give f(n(l)). -3*l**4 Let f(d) = -18*d**2. Let k(i) = i. Let p(b) = 8*b. Let h(r) = -6*k(r) + p(r). What is h(f(o))? -36*o**2 Let n(u) = -21*u. Let g(w) = 29*w**2 - 2. Determine n(g(b)). -609*b**2 + 42 Let f(u) = -36*u**2 - 13. Let s(k) = -2*k. Give s(f(y)). 72*y**2 + 26 Let h(x) = -x**2 - x. Let j(f) = 10*f**2 + 12*f. Let k(d) = -12*h(d) - j(d). Let c(q) = -5*q - 2*q + 7*q + 2*q**2. Give c(k(p)). 8*p**4 Let r(g) = 2*g**2. Let p(u) = 337*u**2. What is r(p(a))? 227138*a**4 Let w(d) = -d. Suppose 2*y = y. Let n(k) = -k + y*k - k + k. Determine w(n(i)). i Let i(j) = -2*j**2. Let r(c) = -2*c**2 + 0*c**2 - 2*c**2 + 0*c**2. Calculate r(i(w)). -16*w**4 Let d(r) = -3*r**2 + 5*r + 5. Let c(j) = 2*j**2 - 4*j - 4. Let x(n) = n - 4. Let y be x(0). Let q(z) = y*d(z) - 5*c(z). Let h(u) = u. Determine h(q(p)). 2*p**2 Let x(s) = -2*s - 10. Let v(y) be the third derivative of y**3/6 + 2*y**2. Let a(h) = -10*v(h) - x(h). Let z(c) = 12*c**2 - 5*c**2 - 10*c**2. Give a(z(r)). -6*r**2 Let l(m) = -6*m. Let y(i) = 4*i**2 - 96*i. What is l(y(s))? -24*s**2 + 576*s Let a(g) = 137*g. Let v(q) = -4*q**2. What is a(v(z))? -548*z**2 Let r(z) = -7*z**2. Let x(i) be the first derivative of 2*i**3 + 26. Calculate x(r(y)). 294*y**4 Let w(z) = -z + 1. Let l(d) = -d**2 - 6*d + 6. Let k(c) = -l(c) + 6*w(c). Let f(t) = t**2. Give f(k(s)). s**4 Let d(w) = 2*w**2. Suppose -3*g + 9 = -12. Let n = -5 + g. Let o(s) = -2*s**n + s**2 - s**2 + s**2. Calculate d(o(z)). 2*z**4 Let z(c) = -18*c**2 + 45*c**2 - 26*c**2. Let q(b) = -9*b**2 - b. Calculate z(q(k)). 81*k**4 + 18*k**3 + k**2 Let x(i) = i. Let y(z) = 5*z. Let s(q) = -4*x(q) + y(q). Let r(v) = 2 - 3 - 6*v + 1. Determine s(r(o)). -6*o Let f(b) be the second derivative of b**3/3 - 2*b. Let z(r) be the second derivative of 2*r**3/3 - 3*r. Determine z(f(p)). 8*p Let t(w) = 15*w**2 - 11. Let r(v) = 8*v**2 - 6. Let d(k) = 11*r(k) - 6*t(k). Let m(z) be the third derivative of -z**4/6
{ "pile_set_name": "DM Mathematics" }
) + 7*q(f). -f Let n(t) = -1. Let c(l) = -2*l + 17. Give -c(r) - 4*n(r). 2*r - 13 Suppose -4*b + 17 = 2*p - 3, -3*b - 3*p = -12. Let w(k) = 8*k**2 + 1 + b + 8*k + 5. Let r(d) = d**2 - 3*d + 1 + 4*d + 0. What is 10*r(t) - w(t)? 2*t**2 + 2*t - 2 Suppose -5*p + 0*p = 5. Let f(d) = -3*d**2 + 0*d**3 + 3 + 4*d - d + 4*d**3. Let v(k) = 0 + k - 2*k - k**3 - 1 + k**2. Calculate p*f(s) - 3*v(s). -s**3 Let n(m) = m - 1. Let o(l) = -l**3 - 2*l**2 + 2*l + 2. Let j be o(-2). Let b be 11/((-33)/(-18)) - 5. Let x(t) = t - 3. What is b*x(f) + j*n(f)? -f - 1 Let h(c) = -c**2 - 5. Let k(t) = 3*t**2 + 3 - 8*t**2 + 8*t**2 - 2*t**2. What is -6*h(u) - 10*k(u)? -4*u**2 Let n(l) = 12*l**2 + 2*l + 3. Let y(r) = 12*r**2 + r + 2. Calculate 3*n(q) - 4*y(q). -12*q**2 + 2*q + 1 Let p(d) = 8*d**2 + 3*d + 3. Let q(i) = 7*i**2 + 2*i + 2. Calculate -2*p(s) + 3*q(s). 5*s**2 Let o(x) = -x**2 + x + 1. Let a(l) = -15*l**2 + 8*l + 4. Give a(s) - 6*o(s). -9*s**2 + 2*s - 2 Let o(c) = 9*c**2. Let p(b) = -b**2. What is 3*o(r) + 6*p(r)? 21*r**2 Suppose 0 = 5*b + 4*i + 4 + 5, 5*i = -2*b + 10. Let n(z) = 2*z - 4. Let r(j) = 6*j - 5. Let c(u) = u + 1. Let a(f) = -2*c(f) + r(f). Give b*n(y) + 3*a(y). 2*y - 1 Let l(y) = 4*y - 3. Let d be (-3 + 1)*(-2)/4. Let z(u) = -u + u - d + u. Suppose 2*n + 2 = -2*s - 0, -4*s = -5*n - 41. Calculate s*l(f) - 14*z(f). 2*f + 2 Let n(c) = 2*c + 6. Let y be ((-1)/(-2))/((-3)/(-36)). Suppose -2*b = 10 + y. Let g(o) = 1. Calculate b*g(d) + n(d). 2*d - 2 Let m(z) = 1 + 6*z + 7 + 2*z - 3. Let q(i) = 7*i + 4. What is 4*m(r) - 5*q(r)? -3*r Let u(h) = h**3 + 21*h**2 + 16*h - 11. Let r(t) = 4*t**2 + 3*t - 2. Determine -11*r(l) + 2*u(l). 2*l**3 - 2*l**2 - l Let j(p) = 40*p**3 + 5*p**2 + 7*p - 7. Let w(b) = -20*b**3 - 2*b**2 - 3*b + 3. Determine 3*j(d) + 7*w(d). -20*d**3 + d**2 Let j(b) = -b**3 - 6*b + 4. Let q(a) = a**3 + a - 1. Calculate j(z) + 4*q(z). 3*z**3 - 2*z Let b(i) = -6*i**3 + 15*i**2 + 10*i + 11. Let o(t) = -t**3 + 3*t**2 + 2*t + 2. Determine 2*b(v) - 11*o(v). -v**3 - 3*v**2 - 2*v Suppose -43*r = -40*r + 9. Let c(q) = 3*q**2 + 2*q. Let f(p) = -3*p**2 - 2*p. Calculate r*c(u) - 2*f(u). -3*u**2 - 2*u Let i be -5*1*(-14)/35. Let c(z) = -2*z**2 - i*z**3 - 2*z**2 + 2*z**2. Let u(g) = -6*g**3 - 7*g**2. Determine -7*c(y) + 2*u(y). 2*y**3 Suppose b - 19 = -6*q + q, -2*q + 26 = 5*b. Let n(l) = -3*l**2 - 3*l - 3. Let p(y) = -y**3 - 5*y**2 - 5*y - 5. What is q*p(m) - 5*n(m)? -3*m**3 Let x(t) = -5*t**2 - 8*t + 8. Let n(y) = y**2 + 4*y - 7. Let c(r) = 3*r**2 + 9*r - 14. Let z(l) = -3*c(l) + 5*n(l). Calculate -6*x(v) + 7*z(v). 2*v**2 - v + 1 Let q(g) = -g - 1. Let h(c) = 6*c + 5. Let l be -1*5 + 9 + -6. Give l*h(o) - 10*q(o). -2*o Let b(c) = c**3 + 5*c**2 + 5*c - 2. Let v be ((-2)/3)/(8/(-60)). Let s(p) = -p**3 - 6*p**2 - 6*p + 2. What is v*s(o) + 6*b(o)? o**3 - 2 Let p(s) = -7*s**2 + 9*s. Let c(f) = f**2 + f. Calculate 6*c(g) + p(g). -g**2 + 15*g Let y(b) = -b - 26. Let v(u) = -2*u - 39. What is -5*v(z) + 8*y(z)? 2*z - 13 Let m(t) = 8*t**3 + 4*t**2 + 17. Let k(d) = -4*d**3 - 2*d**2 - 8. Give -13*k(w) - 6*m(w). 4*w**3 + 2*w**2 + 2 Let x(b) = -2*b - 5. Let v(o) be the first derivative of o + 30. Calculate 6*v(q) + x(q). -2*q + 1 Let h(i) = -i + 1. Let p(a) = 6*a - 2. Let u be (-4)/(-14) - 61/(-7). Suppose 2*m = -m + u. Suppose 3*l - m*c = c + 4, -4*l = -4*c. Calculate l*h(w) - p(w). -2*w - 2 Suppose 5 = x - 11. Let c = x - 17. Let a(m) = -m - 1. Let l(o) = o. What is c*l(g) + a(g)? -2*g - 1 Let y(a) be the first derivative of a**4/4 + a**3/3 - a**2/2 - a + 7. Let c(g) = g**3 + 3*g**2 - 3*g - 6. Give -c(u) + 3*y(u). 2*u**3 + 3 Suppose 0 = 2*x + 3*o + 17, -5*x + 7*o - 3*o + 15 = 0. Let r(z) = -2*z**3 - 6*z**2 + 2. Let h(b) = -b**2. Determine x*r(w) + 5*h(w). 2*w**3 + w**2 - 2 Let l(o) = -2*o**2 + 2*o + 2. Suppose 4 = w - d, 6*w - w = -4*d + 2. Let a(x) = -8*x**2 + 9*x + 9. Calculate w*a(b) - 9*l(b). 2*b**2 Let f(p) = 7*p - 4. Let u(l) be the third derivative of -3*l**2 + 0*l - 1/24*l**4 + 0 + 1/6*l**3. Calculate f(o) + 6*u(o). o + 2 Let c(z) = -5*z. Let i(m) = -2*m. Let w(a) = 3*c(a) - 8*i(a). Let t(d) = -d - 1. Suppose 3*f - 3 = 4*h, -2*f + 2 = -h - 0. Give f*t(r) + 2*w(r). r - 1 Let f(d) = -3*d**2 + 7. Let a(k) = -11*k - k**2 + 2 + 11*k. Give 7*a(h) - 2*f(h). -h**2 Let s(k) = -14*k + 2. Let x(l) = 9*l - 1. Let t = 81 - 86. Let j be (3/2)/((-6)/32). Give j*x(y) + t*s(y). -2*y - 2 Let h = 1 - 10. Let w = 4 - 6. Let k(l) = -l. Let u(g) = g + 1. Let x(p) = w*k(p) - u(p). Let c(y) = 2*y - 2. Give h*x(f) + 4*c(f). -f + 1 Let r(c) = 1. Let l(n) = -2*n - 13. Give -l(t) - 4*r(t). 2*t + 9 Let b = 12 - 13. Let u(i) = -1. Let y(w) = -w + 2. Determine b*y(z) - 3*u(z). z + 1 Let y(k) = -11 + 11 + k. Let a(l) be the third derivative of l**3/3 - l**2. Suppose 2*q - 3 - 2 = -p, 2*p = -2*q + 4. Give p*a(o) - y(o). -o - 2 Let a(u) = -70*u**2. Let b(r) = -5*r**2. Let g(n) = -n**3 + 3*n**2 + 11*n - 1. Let i be g(5). What is i*a(y) - 55*b(y)? -5*y**2 Suppose 0*u + 15 = 3*u. Let w(y) = -u + 3 - 2 + y. Let g(d) = 2*d - 5. Give 2*g(b) - 3*w(b). b + 2 Let h(w) = -w - 1. Suppose -4*g = -12, 3*j - 5*g - 6 = -45. Let d(p) = -6*p - 8. Determine j*h(l) + d(l). 2*l Let u(s) = -s**3 + s**2 - 1. Let z(h) = -2*h**3 + h**2 - 1. Let o = 31 - 28. Give o*z(p) - 3*u(p). -3*p**3 Let i(z) = -2*z**2 + z + 2. Let k(l) = -3*l**2 - 5*l + 8. Let h(s) = -s + 1. Let n(p) = 6*h(p) - k(p). Determine -5*i(m) - 4*n(m). -2*m**2 - m - 2 Let r(b) = 8*b**3 - 6*b**2 + 6*b - 2. Let i(g) = -7*g**3 + 5*g**2 - 5*g + 1. Calculate -6*i(u) - 5*r(u). 2*u**3 + 4 Let f(z) = -3*z**2 - 4*z - 4. Let r(o) = o**2 + o + 1. Suppose 2*v + 21 = -5*n, -3*n - 3 = 4*v + 4. Suppose 0*a - 2*a = -v. What is a*f(m) + 4*r(m)? m**2 Let s be 1*(66/(-10) - (-6)/10). Let w(t) = 4*t - 4. Let r(i) = -11*i + 11. Calculate s*r(l) - 17*w(l). -2*l + 2 Let h = -10 - 4. Let o(l) = 21*l. Let k(d) = 7*d. Let y(x) = 11*k(x) - 4*o(x). Let v(m) = -20*m. Give h*y(s) + 5*v(s). -2*s Let r(b) = 2*b**3 - 7*b + 1. Let f(l) = -l**3 + 4*l - 1. Suppose -2*v - 3*v = 15. Let m = v - -8. Give m*f(w) + 3*r(w). w**3 - w - 2 Let q be (-16)/(-24) - 64/(-3). Let t(y) = 5*y**3 - 11*y**2 - 11*y + 11. Let m(w) = -w**3 + 2*w**2 + 2*w - 2. Calculate q*m(l) + 4*t(l). -2*l**3 Let n(u) = u + 1. Let v(w) = 4*w + 4. Let p(r) = 5*n(r) - v(r). Let l(m) = -8*m - 6. Calculate -l(c) - 6*p(c). 2*c Let m(t) = -4 - t**2 + 6*t**2 + 27*t - 21*t. Let v(h) = -h - 1. Let p(u) = -9*u**2 - 15*u + 3. Let k(c) = -p(c) + 4*v(c). Determine 6*k(w) - 11*m(w). -w**2 + 2 Let u(z) = z**3 - 5*z**2 - 9*z + 5. Let m(x) = -2*x**3 + 8*x**2 + 14*x - 8. Suppose -3*h = 4*g + 44, -4*g - 4*h = 18 + 30. Determine g*u(c) - 5*m(c). 2*c**3 + 2*c Let l(u) = -17*u**3 + 9*u. Let k(x) be the third derivative of -x**6/15 + x**4/6 - 10*x**2. Calculate -9*k(y) + 4*l(y). 4*y**3 Let g(b) = -3*b**3 - 5*b**2 + 3*b + 3. Let q(n) = 4*n**3 + 7*n**2 - 4*n - 4. Determine -7*g(w) - 5*q(w). w**3 - w - 1 Let j(f) = 6. Let n(c) = c + 3. What is -3*j(r) + 6*n(r)? 6*r Let c(n) = 2*n + 92. Let z(j) = 3*j + 138. Calculate -8*c(y) + 5*z(y). -y - 46 Let b(v) = -10*v**2 - 11*v. Let r(o) = 5*o**2 + 5*o. Let d(t) = 6*b(t) + 13*r(t). Let u(w) = -4*w**2 + w. Give 2*d(z) + 3*u(z). -2*z**2 + z Let h(q) = 9*q**2 - 5*q. Let z(t) = 26*t**2 - 14*t. What is 14*h(v) - 5*z(v)? -4*v**2 Let g(v) = v**3 + v**2 - 7*v + 6. Let d(h) = -h + 1. Let c(q) = -q + 7. Let r be c(7). Suppose -2*f - 7 = 5*k, r = -f - k - 3 + 1. Give f*g(b) + 6*d(b). -b**3 - b**2 + b Let g(k) = -2*k + 3. Let z(p) = -4*p + 7. Determine -9*g(l) + 4*z(l). 2*l + 1 Let y(m) = -3*m. Let u(f) = 8*f. Suppose -29 = -3*l - 4*s, -25 = -2*l - l - 2*s. Determine l*y(a) + 3*u(a). 3*a Let k(q) = -2 + 0 + 3 + q**2 + q. Let a(v) = 5*v**2 + 9*v + 6. Let s(y) = -5*y**2 - 8*y - 6. Let c(r) = -2*a(r) - 3*s(r). Let w = 3 - -3. Give w*k(j) - c(j). j**2 Let t(c) = 26*c - 3. Let j(g) = 391*g - 46. What is -3*j(l) + 46*t(l)? 23*l Let j(z) = -15*z**2 + 13*z - 9. Let r(k) = -7*k**2 + 6*k - 4. Calculate -4*j(i) + 9*r(i). -3*i**2 + 2*i Let t(g) = -8*g - 5. Let k(q) = 2*q + 1. Calculate 9*k(i) + 2*t(i). 2*i - 1 Let r(s) = 2*s**2 + 7*s. Let q(g) = g. Suppose -4*x + x + 3*v + 15 = 0, x = -v + 7. What is x*q(y) - r(y)? -2*y**2 - y Let z(y) = 2*y**2 + 2*y + 1. Let m(p) = -5*p**2 - 6*p - 3. Determine 3*m(b) + 8*z(b). b**2 - 2*b - 1 Let i =
{ "pile_set_name": "DM Mathematics" }
/2*o**2 + 873/2*o - 1269/2 = 0. 3, 47 Let f(c) be the second derivative of c**6/120 + 11*c**5/2 + 16133*c**4/16 - 55*c**3/3 - 6050*c**2 - 389*c - 3. Factor f(q). (q - 1)*(q + 1)*(q + 220)**2/4 Let r = -27723/4 + 6932. Let b(z) be the first derivative of -r*z**2 + 2*z + 27 - 1/4*z**3. What is y in b(y) = 0? -4, 2/3 Let n(m) be the third derivative of 1/240*m**6 + 0*m**3 + 275*m**2 + 1/280*m**7 + 0 + 1/12*m**4 + 0*m - 1/20*m**5 - 1/1344*m**8. Let n(x) = 0. What is x? -2, 0, 1, 2 Suppose 58365907*l**2 - 5199922*l**2 + l**4 + 3*l**4 + 37295937425*l + 25259*l**3 - 9327307625 = 0. What is l? -2105, 1/4 Let v(i) be the second derivative of 0 + 1/4*i**5 + 50*i + 65/12*i**4 + 175/6*i**3 - 245/2*i**2. Determine t so that v(t) = 0. -7, 1 Solve -261*i - 1047*i + 2604 + 397*i**2 - 394*i**2 = 0. 2, 434 Let s(d) be the second derivative of -3*d**2 - 1/2*d**3 + 1/4*d**4 - 2*d - 27. Factor s(u). 3*(u - 2)*(u + 1) Let t = 241 + -237. Factor 1005*f**3 + 810448*f - 12*f**t + 32856*f**2 + 5*f**4 + 11*f**4 + 7496644 - 413*f**3. 4*(f + 37)**4 Let i = -11 - -32. Solve 3*u**3 - i*u + 7*u**2 + 22*u - 4*u**2 + u**4 = 0. -1, 0 Let n be 1281/7 + (-2 - 1). Suppose -r = -5*r + n. Find g, given that -20*g**5 + 1467 + 5*g**2 - 30*g**3 - 1467 + r*g**4 = 0. 0, 1/4, 1 Factor 13263041 + 6*r**2 - 1100729 - 4*r**2 + 1313*r - 9306*r - 1871*r. 2*(r - 2466)**2 Let u(w) be the second derivative of w**5/70 + 29*w**4/42 + 164*w**3/21 + 220*w**2/7 - 646*w. Find m, given that u(m) = 0. -22, -5, -2 Let d = -62 - -33. Let x = d + 33. Let -10*c - 17 + 5*c**2 - 1 + 7 - x = 0. What is c? -1, 3 Let a(u) = -u**2 - 7*u + 3. Let t be a(-7). Let f(w) = -t*w - 6*w + 31 - w**2 - 36. Let x(v) = -6*v**2 - 64*v - 36. Let y(m) = 44*f(m) - 6*x(m). Factor y(z). -4*(z + 1)*(2*z + 1) Let j be -14*25/10*1. Let y = j + 35. Determine m so that 2*m + 22*m**2 + y*m - 18*m**2 + 2*m = 0. -1, 0 What is w in -10*w**4 + 330*w**2 + 55 - 155/2*w**3 - 595/2*w = 0? -11, 1/4, 1, 2 Let t(s) be the second derivative of 0*s**2 - 2 + 1/40*s**6 - 1/16*s**4 + 1/80*s**5 + 21*s - 1/12*s**3 + 1/168*s**7. Factor t(m). m*(m - 1)*(m + 1)**2*(m + 2)/4 Let s(u) be the first derivative of -5*u**6/6 - 434*u**5 - 119855*u**4/2 - 917960*u**3/3 + 732075*u**2/2 + 4160250*u - 12113. Let s(z) = 0. What is z? -215, -3, 2 Let y(d) be the first derivative of d**4/14 + 8*d**3/7 + 36*d**2/7 + 64*d/7 + 263. Factor y(w). 2*(w + 2)**2*(w + 8)/7 Determine z, given that 76/3*z - 8/3*z**2 + 80/3 - 4/3*z**3 = 0. -5, -1, 4 Factor -42483 - u**2 - 753*u + 39*u + 5*u**2 - 7*u**2 + 0*u**2. -3*(u + 119)**2 Let d(n) be the second derivative of -3*n**5/80 + 15*n**4/8 + 9*n**3/8 - 405*n**2/4 - 3*n + 1350. Factor d(l). -3*(l - 30)*(l - 3)*(l + 3)/4 Let g = 146798 - 146796. Factor 1/4*i**3 + 0 + 5/4*i**g + i. i*(i + 1)*(i + 4)/4 Let v(t) be the first derivative of 5*t**4/4 - 10*t**3 - 225*t**2/2 + 250*t - 9073. Factor v(n). 5*(n - 10)*(n - 1)*(n + 5) Suppose -20*i = -21*i + 4. Let g(l) = l**2 - 4*l + 3. Let q be g(i). Let -10 + 4*j**3 - 15*j**2 + 27*j + j**q + 5*j**4 - 52*j = 0. Calculate j. -1, 2 Let r = -8 + 15. Suppose -2*q = -5*a + 17, 2*a + 6*q - r = 7*q. Factor 4/17 + 8/17*g**2 - 2/17*g**a - 10/17*g. -2*(g - 2)*(g - 1)**2/17 Let g(i) be the second derivative of 4*i**2 + 0 - 1/3*i**3 + 139*i + 1/40*i**5 - 1/6*i**4. Suppose g(k) = 0. Calculate k. -2, 2, 4 Let n(b) be the second derivative of b**4/36 - 14*b**3/9 - 34*b**2 - 21*b - 3. Determine o, given that n(o) = 0. -6, 34 Let x(k) = -10*k**2 + 13. Let p(r) = -r**2 + 1. Suppose 3*f - 7*y + 2*y - 3 = 0, 0 = -3*f + 4*y. Let g(d) = f*x(d) + 36*p(d). What is b in g(b) = 0? -2, 2 Suppose -3*j + 68*m = 67*m - 20, 3*j = 2*m + 34. Factor -1/2*o**3 + 11/6*o + 1/6*o**j + 7/6. -(o + 1)**2*(3*o - 7)/6 Let s = -2/392815 - 287932807/115487610. Let t = 1/147 - s. Solve -7/6*u**4 - 1/6*u - 19/6*u**3 + 1/3 - t*u**2 = 0 for u. -1, 2/7 Let j(h) be the first derivative of h**4/12 + 200*h**3/9 + 66*h**2 + 310. Determine m, given that j(m) = 0. -198, -2, 0 Suppose -20*u + 35*u = 60. Let b(p) be the first derivative of -u*p**3 + 6*p**2 + 0*p + 3/4*p**4 + 16. Factor b(i). 3*i*(i - 2)**2 Let q(r) = -7*r**2 - 100*r + 529. Let y(d) = -66*d**2 - 899*d + 4758. Let g(i) = 19*q(i) - 2*y(i). Find l, given that g(l) = 0. -107, 5 Let y = -10183/21 - -3399/7. Factor 16/3 + y*d**3 - 2*d**2 - 4*d. 2*(d - 4)*(d - 1)*(d + 2)/3 Solve 624/5*j - 3/5*j**3 - 132 + 39/5*j**2 = 0 for j. -10, 1, 22 Let r = 1507/3 - 2249/6. Let b = -126 + r. Suppose -3*j**2 + 0 + b*j + 3/2*j**3 = 0. Calculate j. 0, 1 Let x(m) be the second derivative of 0 + 1/80*m**5 + 53/16*m**4 + 47*m + 6241/8*m**2 + 2133/8*m**3. Factor x(d). (d + 1)*(d + 79)**2/4 Find g such that g - 41*g**2 + 25*g**4 - 31*g**3 - 6*g**3 - 3*g**5 + 16 + 0*g + 5*g + 34*g**3 = 0. -1, -2/3, 1, 8 Let h be 8/6*(-33)/22*-2. Factor 3*a**2 + h*a**3 + 9*a - 8 - a**2 - 9*a + 6*a**2 - 4*a. 4*(a - 1)*(a + 1)*(a + 2) Let v = -2204 - -2204. Let s(i) be the first derivative of 0*i**2 + 8 + 4/3*i**3 + v*i + 1/2*i**4. Determine f so that s(f) = 0. -2, 0 Let o(x) be the third derivative of -27*x**8/392 - 30*x**7/49 - 517*x**6/420 + 10*x**5/7 - 3*x**4/7 + 164*x**2 - 2. Find g such that o(g) = 0. -3, 0, 2/9 Determine u so that 1060/9 - 526/9*u - 2/9*u**2 = 0. -265, 2 Let i(t) = 5*t**3 - 14*t**2 - 20*t + 40. Let h(o) = -55*o**3 + 155*o**2 + 220*o - 440. Let w be (70/(-21))/((-6)/81). Let s(l) = w*i(l) + 4*h(l). Factor s(z). 5*(z - 2)**2*(z + 2) Factor 1/4*s**4 - 1/4*s**3 - 65/4*s**2 + 0 + 225/4*s. s*(s - 5)**2*(s + 9)/4 Let k(t) be the second derivative of 2*t**7/21 - 106*t**6/15 + 199*t**5/5 - 49*t**4 - 245*t - 1. Determine l so that k(l) = 0. 0, 1, 3, 49 Let j = -5423/378 + 821/54. Factor 1/7*c**2 - 5/7*c + j. (c - 3)*(c - 2)/7 Factor 3*v**2 - 26*v**3 - 99 - 111 + 222 - 7*v**2 + 26*v - 8*v**2. -2*(v - 1)*(v + 1)*(13*v + 6) Let d(n) be the first derivative of -13/3*n**3 - 4*n + 3/2*n**4 - 1/5*n**5 + 40 + 6*n**2. Factor d(a). -(a - 2)**2*(a - 1)**2 Let h(m) be the first derivative of 2/5*m**5 - 2/3*m**3 - 6/5*m**4 - 1/10*m**2 + 0*m + 5/6*m**6 - 56. Solve h(p) = 0 for p. -1, -1/5, 0, 1 Let k(j) be the third derivative of j**7/504 - j**6/144 - j**5/4 - 79*j**4/24 + 38*j**2 + j. Let w(l) be the second derivative of k(l). Factor w(d). 5*(d - 3)*(d + 2) Let o(x) be the third derivative of x**6/60 - 4*x**5 + 279*x**4 + 15376*x**3/3 + x**2 - 104. Suppose o(v) = 0. Calculate v. -4, 62 Let j = 5139979/15 - 342661. Find g such that -2/3*g**3 + 0 + j*g**2 - 8/5*g = 0. 0, 2/5, 6 Let f(u) be the first derivative of u**5/75 + u**4/6 + 8*u**3/15 + 3*u**2/2 - u - 75. Let j(z) be the second derivative of f(z). Solve j(w) = 0. -4, -1 Let q(t) = -t**3 + 33*t**2 - 374*t + 782. Let z(r) = -4*r**3 + 95*r**2 - 1121*r + 2345. Let h(d) = 7*q(d) - 2*z(d). What is w in h(w) = 0? -49, 4 Let j(b) be the first derivative of b**7/168 + b**6/12 + b**5/8 - 25*b**4/12 - 10*b**3/3 + 97. Let x(u) be the third derivative of j(u). Factor x(h). 5*(h - 1)*(h + 2)*(h + 5) Let s(k) be the third derivative of -k**7/420 + 73*k**6/120 - 1871*k**5/40 + 5183*k**4/12 - 5041*k**3/3 + 2*k**2 - 43*k - 16. Factor s(q). -(q - 71)**2*(q - 2)**2/2 Let 6727*m**2 - 189*m**3 + 19 - 3*m**4 + 114*m + 75*m**3 - 6940*m**2 + 197 = 0. Calculate m. -36, -2, -1, 1 Suppose 0 = 13*y - 16*y + 15. Suppose 3*a - 915 - 310 = -y*d, 4*a - 1638 = -2*d. Factor 3*m**3 + 413*m**4 - a*m**4 + 0*m**3. 3*m**3*(m + 1) Let z(q) be the first derivative of q**7/84 + 5*q**6/24 - 3*q**5/8 - 5*q**4/3 - 2*q**3/3 + 22*q**2 + 259. Let c(h) be the third derivative of z(h). Factor c(l). 5*(l - 1)*(l + 8)*(2*l + 1) Let c(v) = -v**2 + 2264. Let w be c(0). Let d = w + -24888/11. Factor d*u + 0 - 2/11*u**2. -2*u*(u - 8)/11 Let x be ((-27)/(-4))/(5/20). Suppose p = 10 + x. Suppose p - 37 - 5*w**2 = 0. What is w? 0 Let v(w) = w**4 - w**3 + w - 1. Let j(n) = -5*n**4 + 217*n**3 + 14910*n**2 + 357694*n + 343006. Let k(g) = -j(g) - 6*v(g). Find l, given that k(l) = 0. -70, -1 Let q(s) = -2*s**2 - 35*s + 24. Let w be 3/(-3)*(-2 - (-18 - 2)). Let n be q(w). Factor -6 + 12 + 3*o**2 - 1 - n*o - 2. 3*(o - 1)**2 Let s(v) be the first derivative of v**4/2 - 8*v**3/3 - 128*v**2 + 1536*v + 244. Find o, given that s(o) = 0. -12, 8 Suppose -140*m = 155*m - 387*m + 223 + 53. Factor -3/2*w**m - 3/2*w + 3*w**2 + 0. -3*w*(w - 1)**2/2 Let 13*
{ "pile_set_name": "DM Mathematics" }
4*x - 50. Determine q(7). -78 Let t(a) = -18*a - 187. What is t(-14)? 65 Let g(b) = -b**2 - 2472*b - 9852. Determine g(-4). 20 Let u(o) = 2*o**3 + 368*o**2 - 2285*o + 27. Determine u(6). -3 Let y(m) = -55*m**2 + 313*m + 110. Calculate y(6). 8 Let p(d) = 3*d**3 + 37*d**2 - 30*d - 30. Calculate p(-13). 22 Let t(m) = 49*m - 2243. Give t(46). 11 Let t(r) = -r**3 - 24*r**2 + r + 32. Calculate t(-24). 8 Let n(f) = f**2 - 101*f + 1581. Calculate n(82). 23 Let o(c) = -c**2 + 46*c - 352. Give o(38). -48 Let m(p) = 17*p**2 + 64*p + 9. Give m(-4). 25 Let m(w) = -36*w + 730. Give m(20). 10 Let a(g) = -g**2 - 42*g - 88. Give a(-39). 29 Let x(c) = -137*c - 580. Calculate x(-4). -32 Let o(k) = -7*k**2 + 94*k - 40. Determine o(13). -1 Let i(x) = 2*x**2 + 8*x - 54. What is i(-7)? -12 Let w(c) = 2*c**3 - 181*c**2 - 272*c - 386. Give w(92). -18 Let v(u) = 16*u**3 + 114*u**2 + 50*u + 233. Determine v(-7). -19 Let n(w) = -5*w**3 - 2*w**2 + 5*w - 6. Calculate n(-4). 262 Let v(k) = 2*k**3 + 393*k**2 + 580*k - 1019. Calculate v(-195). -44 Let x(n) = n**3 + 22*n**2 - 27*n - 54. What is x(-23)? 38 Let p(i) = -i**3 + 29*i**2 - 34*i - 25. Give p(28). -193 Let x(f) = 38*f + 310. Give x(-7). 44 Let h(j) = -j**2 + 128*j + 933. Calculate h(-7). -12 Let l(v) = -v**3 + 11*v**2 - 21*v + 6. Give l(8). 30 Let q(z) = z**2 - 45*z + 231. Determine q(42). 105 Let p(k) = -18*k + 1013. Calculate p(55). 23 Let u(b) = 4*b**3 - 40*b**2 + 18*b - 174. Determine u(10). 6 Let d(v) = -v**3 - 16*v**2 - 22*v + 64. What is d(-14)? -20 Let k(d) = 23*d - 656. Calculate k(28). -12 Let a(s) = s**2 - 34*s - 95. What is a(37)? 16 Let k(w) = 7*w**2 + 62*w - 9. Determine k(-8). -57 Let n(z) = -22*z + 109. Determine n(6). -23 Let k(a) = -a**3 - 12*a**2 + 59*a - 120. Give k(-16). -40 Let d(v) = v**3 - 2*v**2 - 37*v - 141. What is d(-4)? -89 Let m(n) = -2*n**2 - 10*n + 151. Calculate m(-12). -17 Let c(j) = j**3 + 128*j**2 - 270*j - 1298. Calculate c(-130). 2 Let n(j) = 141*j**2 + 1837*j + 32. Give n(-13). -20 Let o(j) = 6609*j - 13211. Give o(2). 7 Let z(c) = 7*c**2 - 14*c + 22. What is z(4)? 78 Let m(n) = 2*n**2 + 86*n + 336. What is m(-4)? 24 Let f(u) = 10*u - 3. Calculate f(5). 47 Let p(x) = x**3 - 17*x**2 + 84*x - 564. Calculate p(14). 24 Let m(v) = -74*v + 12. Calculate m(3). -210 Let h(r) = -33*r + 163. Determine h(4). 31 Let b(y) = y**3 - 3*y**2 + 7. Determine b(2). 3 Let z(i) = -3*i**3 - 577*i**2 - 760*i + 761. Calculate z(-191). -3 Let t(c) = -102*c - 116. Calculate t(-7). 598 Let p(i) = 238*i**2 + 2154*i + 113. Give p(-9). 5 Let h(j) = -147*j - 7816. Calculate h(-53). -25 Let u(w) = 126*w - 253. Calculate u(2). -1 Let q(p) = -17*p**3 + 2*p**2 - 11*p - 19. Determine q(-2). 147 Let y(q) = 78*q**2 - 112*q - 336. Determine y(-3). 702 Let q(r) = -18*r**2 + 22*r. Determine q(1). 4 Let n(s) = s**3 - 42*s**2 + 34*s - 1527. Give n(42). -99 Let q(s) = s**3 - 2*s**2 - 12*s + 16. Give q(7). 177 Let h(p) = p**3 - 274*p**2 + 137*p - 37535. Calculate h(274). 3 Let i(m) = -11*m**2 + 330*m - 40. Give i(30). -40 Let w(r) = -19*r + 1981. What is w(92)? 233 Let a(w) = -31*w + 262. What is a(11)? -79 Let y(c) = -2*c**2 - 259*c - 975. Give y(-4). 29 Let w(m) = 5*m**2 + 10. Give w(3). 55 Let u(h) = 2*h**2 - 333*h - 1717. Give u(-5). -2 Let w(v) = 162*v - 6. Give w(2). 318 Let d(v) = -v**2 + 37*v + 368. What is d(45)? 8 Let b(j) = j**2 - 130*j + 2972. Give b(100). -28 Let p(d) = -20*d + 369. Determine p(12). 129 Let b(w) = w**3 - 12*w**2 + 18*w + 13. What is b(10)? -7 Let l(o) = -o**2 + 77*o - 1293. What is l(52)? 7 Let d(r) = -r**3 - 3*r**2 + 649*r - 4. Give d(24). 20 Let a(j) = j**3 + 11*j**2 + 9*j - 48. Calculate a(-5). 57 Let q(g) = 30*g + 201. What is q(-9)? -69 Let v(c) = -c**2 + c + 41. Determine v(0). 41 Let x(q) = -136*q + 428. Determine x(3). 20 Let n(f) = -6*f - 22. Determine n(-6). 14 Let p(q) = q**3 - 10*q**2 - 14*q + 48. Determine p(11). 15 Let l(s) = -4*s**3 + 21*s**2 + 3*s - 50. Calculate l(5). -10 Let p(u) = 120*u - 1579. Calculate p(12). -139 Let i(b) = -262*b - 137. Give i(0). -137 Let c(y) = -1420*y - 26982. Give c(-19). -2 Let p(c) = c**3 + 20*c**2 + 88*c + 1. Give p(-13). 40 Let c(x) = 10*x - 116. Calculate c(9). -26 Let b(m) = -847*m + 18746. Give b(22). 112 Let p(j) = -31*j + 1662. Give p(54). -12 Let j(p) = p**2 - 28*p + 30. Calculate j(27). 3 Let b(m) = -37*m + 419. Give b(11). 12 Let u(b) = -b**3 - 31*b**2 + 33*b + 24. What is u(-32)? -8 Let s(j) = -11*j**2 - 492*j - 1269. Determine s(-42). -9 Let l(p) = -3*p**3 - 1224*p**2 + 2*p - 6. What is l(0)? -6 Let k(w) = -350*w + 4910. Determine k(14). 10 Let d(v) = 2*v**3 + 29*v**2 + 108*v + 13. Determine d(-7). -8 Let y(a) = -240*a + 1642. Calculate y(5). 442 Let g(f) = f**3 - 126*f**2 - 379*f - 1077. Give g(129). -45 Let o(b) = -19570*b + 97851. Give o(5). 1 Let p(z) = -z**2 - 146*z - 605. Give p(-142). -37 Let s(w) = -w**3 + 12*w**2 + 18*w - 1. Determine s(13). 64 Let h(r) = 477*r - 5241. Determine h(11). 6 Let d(o) = -2*o**3 + 2*o**2 + 34*o - 37. Determine d(1). -3 Let v(b) = -b**3 - 6*b**2 + 22*b - 24. Calculate v(-9). 21 Let d(w) = 80*w - 6. Give d(-2). -166 Let g(r) = -2*r**2 - 71*r + 261. Give g(-38). 71 Let z(l) = -3450*l - 55203. What is z(-16)? -3 Let l(d) = -6*d**3 + 175*d**2 - 61*d + 932. Calculate l(29). 4 Let o(u) = -2*u**2 - 26*u - 66. Give o(-8). 14 Let z(c) = -c**2 - 26*c - 90. What is z(-22)? -2 Let v(k) = -2*k**3 - 23*k**2 - 34*k - 564. Determine v(-12). -12 Let h(a) = -a**3 + 10*a**2 - 23*a + 18. Give h(8). -38 Let s(k) = -k**3 + 13*k**2 - 717*k + 10229. Give s(14). -5 Let t(i) = 9625*i + 57739. Calculate t(-6). -11 Let c(a) = 33*a**2 - 4*a + 2. Give c(1). 31 Let o(l) = 437*l - 3346. What is o(7)? -287 Let v(a) = 38*a**2 - 72*a - 220. Calculate v(-3). 338 Let l(z) = -46*z - 1515. Determine l(-33). 3 Let b(t) = 23*t + 351. What is b(-10)? 121 Let r(q) = -19*q**2 + 744*q - 124. Determine r(39). -7 Let o(i) = -689*i + 5. Determine o(0). 5 Let u(m) = -16*m**2 - 48*m - 2. What is u(-3)? -2 Let k(i) = 227*i + 1584. Determine k(-7). -5 Let c(p) = -p**2 - 45*p - 553. Give c(-28). -77 Let v(u) = -u**3 - 57*u**2 + 1169*u + 91. Give v(-73). 18 Let h(t) = -7*t + 170. Calculate h(18). 44 Let g(q) = -4*q**2 - 58*q - 164. Give g(-9). 34 Let x(d) = 2*d**3 - 3*d - 21. Calculate x(4). 95 Let i(g) = -6*g**3 + 87*g**2 + 40*g + 70. Calculate i(15). -5 Let y(z) = -108*z + 490. Calculate y(5). -50 Let q(k) = -79*k - 984. Calculate q(-8). -352 Let y(a) = a**3 - 14*a**2 + 18*a - 19. Give y(12). -91 Let o(p) = 2*p**3 - 17*p**2 + 71*p - 347. What is o(7)? 3 Let d(j) = -23*j + 180. Give d(10). -50 Let j(b) = 201*b + 5661. Calculate j(-28). 33 Let n(o) = o**2 - 11*o + 59. Give n(7). 31 Let a(t) = 1169*t - 9. What is a(0)? -9 Let j(v) = v**3 + 47*v**2 - 27*v + 6142. What is j(-50)? -8 Let w(u) = -3*u - 5. Calculate w(-7). 16 Let s(q) = -41*q - 4597. Give s(-112). -5 Let k(s) = s**3 + 17*s**2 - 24*s - 125. What is k(-18)? -17 Let z(q) = -q**3 - 10*q**2 + q + 31. Calculate z(-8). -105 Let l(b) = b**3 + 8*b**2 + 84*b + 292. Calculate l(-4). 20 Let p(g) = g**3 - 42*g**2 - 45*g + 91. Give p(43). 5 Let l(v) = 11*v**3 - 3*v**2 + 9*v - 4. Give l(1). 13 Let f(j) = -j**2 - 8*j + 130. Determine f(0). 130 Let s(i) = -i**3 + 7*i**2 + 12*i + 105. Determine s(8). 137 Let t(o) = 10*o**3 + 631*o**2 + 61*o - 115. Calculate t(-63). 11 Let o(v) = -v**3 - 13*v**2 - 30*v - 50. Give o(-11). 38 Let h(r) = -r**3 + 58*r + 17. Determine h(8). -31 Let i(d) = -417*d - 30448. Give i(-73). -7 Let s(x) = -x**3 - 12*x**2 + 253*x - 11. What is s(-23)? -11 Let q(w) = -7*w**2 - 3*w + 2. Determine q(4). -122 Let w(o) = 4*o**2 + 28*o - 244. Give w(5). -4 Let w(o) = o**2 - 18*o - 1074. Calculate w(-24). -66 Let l(y) = y**3 - 19*y**2 - 24*y + 563. What is l(19)? 107 Let n(i) = i**2 + 14*i + 75. Determine n(-4). 35 Let n(m) = 15*m**3 + 2*m**2 + 18*m - 35. Calculate n(2). 129 Let i(u) = -254*u - 1284. Give i(-5). -14 Let m(d) = -7*d**2 - 40*d - 6. Calculate m(-7). -69 Let i(c) = -2*c**2 - 55*c + 19. What is i(-27)? 46 Let k(h) = 7*h**2 - 249*h - 1231. Calculate k(40). 9 Let l(j) = -4*j**2 + 77*j - 76. Determine l(19). -57 Let h(s) = s**3 + 5*s**2 - s - 178. Give h(0). -178 Let l(q) = -211*q - 451. Calculate l(-2). -29 Let v(d) = 2*d**2 + 40*d - 66. What is v(-23)? 72 Let s(a) = a**2 - 52*a - 584.
{ "pile_set_name": "DM Mathematics" }
the third derivative of 13735317*b**4 - 24*b**2 + 67*b - 42 wrt b. 329647608*b Find the second derivative of 10107546*n**2 + 22*n + 56009 wrt n. 20215092 What is the first derivative of -26195141*l**2 + 1611248 wrt l? -52390282*l What is the derivative of 1459*b**4*z - b**4 + 40515*b*z - 16881612*z - 2 wrt b? 5836*b**3*z - 4*b**3 + 40515*z What is the second derivative of -3*t**5 - 1376432*t**2 - 7820743*t? -60*t**3 - 2752864 Find the second derivative of 57135*l**2*t**2 + l**2*t - 4*l**2 + 332*l*t**4 - 21*l*t - l + 3328*t wrt t. 114270*l**2 + 3984*l*t**2 Find the second derivative of -4*p**5 - 61170*p**4 + 214*p**2 + 165206664*p. -80*p**3 - 734040*p**2 + 428 Differentiate 1322302382*m + 1197771481 wrt m. 1322302382 What is the second derivative of 64560*x**4 + x**2 - 493419*x + 4? 774720*x**2 + 2 Differentiate 20094850*a + 15891619 wrt a. 20094850 Find the first derivative of 1880*i**2 + 19488*i - 70250321 wrt i. 3760*i + 19488 What is the second derivative of 18714522*s**3 + 5*s + 651116 wrt s? 112287132*s Find the third derivative of -14*l**4 - 1318026*l**3 + l**2 - 29173*l - 1 wrt l. -336*l - 7908156 Find the second derivative of k**3 - 2*k**2*m**3 - 114413*k**2*m**2 + 2*k*m**3 - 477*k*m - 2006*m**3 wrt k. 6*k - 4*m**3 - 228826*m**2 Find the third derivative of -622*c**6 + 302560*c**3 + 40927686*c**2. -74640*c**3 + 1815360 What is the second derivative of 24640772*v**3 - 83421656*v wrt v? 147844632*v Find the third derivative of 4*k**3*v**2 + 20786388*k**3*v*z + 1690*k**2*v**2 + 40773*k**2*v*z wrt k. 24*v**2 + 124718328*v*z What is the third derivative of -24867394*b**6 - 6*b**3 - 113415791*b**2? -2984087280*b**3 - 36 Find the first derivative of 5120*b*k**2*o*t - 31222*b*k**2*t - 2*b*o + b - 9373*k**2*o + k**2 - 20*k wrt t. 5120*b*k**2*o - 31222*b*k**2 What is the second derivative of -7*f**5 - 709746*f**2 + 64617936*f wrt f? -140*f**3 - 1419492 Find the second derivative of 85*a**4*h**2 - 9037*a**4*h - a*h**2 - 1320*a + 278*h wrt a. 1020*a**2*h**2 - 108444*a**2*h What is the third derivative of 26*a**3*g*r - 2*a**3*g + 180825*a**3*r + 6179*a**2*g - a**2*r + 7*a*r - 4*g*r - 2*r wrt a? 156*g*r - 12*g + 1084950*r Find the first derivative of 12262488*h - 5532226. 12262488 Find the third derivative of 4805981*y**3 - 2*y**2 + 9743974 wrt y. 28835886 What is the second derivative of -236*l**5 + 16661*l**4 + 120593*l + 16 wrt l? -4720*l**3 + 199932*l**2 Find the second derivative of -11500170*x**3 - 2*x - 1186492. -69001020*x Differentiate 376046795*b - 165118026 wrt b. 376046795 Find the second derivative of -39509081*w**3 - 43858527*w wrt w. -237054486*w Find the second derivative of 4*j**2*l**3 + 21511379*j**2*l - 33*j*l**3 - j*l - 9886*l**3 + 2*l**2 - 2*l - 16 wrt j. 8*l**3 + 43022758*l Differentiate -152*g**2 - 210478*g + 298629015. -304*g - 210478 What is the third derivative of 3*w**2*x**3 + w**2 - 111*w*x**2 + 86099*x**5 - 8*x**2 + 40*x wrt x? 18*w**2 + 5165940*x**2 Find the first derivative of 8*n**3 - 6233821*n**2 - 116895714. 24*n**2 - 12467642*n What is the third derivative of -2*m**3*n*o**2 - 206*m**3*o**3 + m**2*n*o + 44*m**2*n - 773*m*n*o**3 + 14*n*o**3 + 46*n*o**2 - 679*n*o wrt o? -1236*m**3 - 4638*m*n + 84*n What is the derivative of 71*n**2 + 1428877*n*y - 110679432*y wrt n? 142*n + 1428877*y What is the second derivative of -91982181*t**2 - 7192*t + 1088 wrt t? -183964362 Differentiate -2391825*a**2 + 3914897 with respect to a. -4783650*a What is the third derivative of -9*f**3*g**3 + 3*f**3*g**2 - f**3*g + 2*f**3 + 53*f**2*g**2 + 122302*f*g**3 + 1139*f*g wrt g? -54*f**3 + 733812*f What is the second derivative of -5*j**2*k + 850227*j**2 + 5*j*k - 2875671*j wrt j? -10*k + 1700454 Find the third derivative of -2*a**6 + 18736999*a**5 + 78448137*a**2. -240*a**3 + 1124219940*a**2 Find the third derivative of 10*u**4 - 7520261*u**3 + 913754*u**2 + 63. 240*u - 45121566 What is the second derivative of -2*f**3*n**4 - f**3*n - f**3 + 2*f**2*n - 107*f**2 - 220*f*n - 2239693*n**4 - n wrt n? -24*f**3*n**2 - 26876316*n**2 What is the third derivative of 1730*s**2*x**4 - 3*s**2*x**2 - 3*s**2*x + 134*s**2 - 1085*s*x**4 + x**2 + 8*x - 76 wrt x? 41520*s**2*x - 26040*s*x What is the first derivative of 663440894*w**4 + 526171071 wrt w? 2653763576*w**3 Find the second derivative of -153939*f**3 - 361*f**2 + 930634*f + 37 wrt f. -923634*f - 722 Find the third derivative of 40742563*p**4 - 3*p**3 + 749773211*p**2. 977821512*p - 18 What is the second derivative of -4197414*p**2 + 52820*p - 4 wrt p? -8394828 What is the derivative of -25499087*x**3 + 182526524 wrt x? -76497261*x**2 What is the second derivative of 80924074*a**3 - 171240081*a? 485544444*a Find the third derivative of 18*f**5 + 21349169*f**3 - 16845515*f**2. 1080*f**2 + 128095014 What is the second derivative of -840405*g**2 - 6*g + 239462? -1680810 What is the first derivative of 4*z**3 - 1169*z**2 - 396*z + 38791958? 12*z**2 - 2338*z - 396 What is the second derivative of 14*j*l**2*r + 13*j*l*r**2 + 70*j*r**2 - j + 840*l**2*r**2 + 281*l**2*r + l**2 + 7*l*r**2 + 178*l + 2*r**2 wrt l? 28*j*r + 1680*r**2 + 562*r + 2 What is the third derivative of 1040287*d**3*g**2 + 35*d**3*g - 2*d**3 - 10*d**2*g**2 - 3*d**2 + 5*d*g**2 + 193*g**2 + 252*g wrt d? 6241722*g**2 + 210*g - 12 What is the derivative of 1505*i**2 - 19229*i - 530845452? 3010*i - 19229 Find the second derivative of -4923066*m**2 + 7*m - 146243 wrt m. -9846132 What is the second derivative of -1850*y**4 + 130*y**3 + 4*y**2 - 566*y - 14271 wrt y? -22200*y**2 + 780*y + 8 What is the third derivative of 8*o**5 - 12148302*o**4 - 3*o**2 + o + 7543497 wrt o? 480*o**2 - 291559248*o What is the derivative of -79562865*x**4 - 305045289? -318251460*x**3 What is the second derivative of 9*h**4 + 13730*h**2*o + 63002*h*o - 124*h wrt h? 108*h**2 + 27460*o Find the second derivative of -2*v**5 - 96759*v**4 - 9*v**2 - 45585559*v wrt v. -40*v**3 - 1161108*v**2 - 18 What is the second derivative of -220981429*i**2*x**2 + 188464325*i*x**2 wrt i? -441962858*x**2 What is the second derivative of -34488903*m**2 - 3431057*m? -68977806 What is the second derivative of 8406285*h**3 - 72856956*h wrt h? 50437710*h Find the first derivative of -107*b**2 - 139638*b*m + 4441781*m - 12 wrt b. -214*b - 139638*m Find the second derivative of -6086*b**3 - 452*b**2 + 81011*b - 414 wrt b. -36516*b - 904 Find the third derivative of 29439*h**4*k + 2*h**4 + 84*h**3*k - 2*h**3 - 911*h**2*k + 17*h**2 + h*k - 69*k - 1 wrt h. 706536*h*k + 48*h + 504*k - 12 What is the second derivative of -13291657*f**2*n**5 - 3*f**2*n - 36108783*f**2 wrt n? -265833140*f**2*n**3 Differentiate -14275860*k**2*q - 7*k**2 - 3021184*q + 62 wrt k. -28551720*k*q - 14*k Differentiate -473763437*j**2 + 108303071. -947526874*j Find the third derivative of -278301794*b*p**3 - 2878*b*p**2 + 14*b + 117*p**2 + p + 3 wrt p. -1669810764*b Differentiate 7440255*d*o*z + 29751*d*o - 34*o*z + 1410*o with respect to z. 7440255*d*o - 34*o What is the first derivative of -496456847*z**3 - 593731331 wrt z? -1489370541*z**2 Differentiate 14505693*f + 182928723 wrt f. 14505693 Find the third derivative of 12393218*p**4 - 655671*p**2 - 2*p + 3. 297437232*p Differentiate -227971*d**3 + 121*d + 6826614 wrt d. -683913*d**2 + 121 What is the third derivative of -9313199*r**3 - 325*r**2 + r - 895? -55879194 What is the third derivative of 2263*i*k**3 - 2*i*k**2 + 25*i*k + 39*i + k**4 + 1903*k**3 - 2*k**2 - 5*k wrt k? 13578*i + 24*k + 11418 What is the derivative of -1396089*c**2*k - 10414003*c**2 wrt k? -1396089*c**2 What is the third derivative of 59102668*p**3 - 173124495*p**2 wrt p? 354616008 Differentiate 2042930*k**4 + 16419060 wrt k. 8171720*k**3 What is the third derivative of 133197*f**5 + 2*f**2 + 2440*f + 169 wrt f? 7991820*f**2 Find the third derivative of -9301*p**6 - 2639*p**4 - 4*p**2 + 4473387 wrt p. -1116120*p**3 - 63336*p What is the second derivative of -43572912*c*m**2 + 146010*c*m - 14*m wrt m? -87145824*c What is the third derivative of 2*z**6 + 5824187*z**5 + 2*z**3 - 35725555*z**2 wrt z? 240*z**3 + 349451220*z**2 + 12 What is the derivative of 789953391*z - 553045382? 789953391 Find the third derivative of -35981772*b**5*k + 15591*b**2 + 373*b*k wrt b. -2158906320*b**2*k Find the third
{ "pile_set_name": "DM Mathematics" }
2 assuming l is positive. l**(-1568/15) Simplify (u/(u*u**(-1/2)*u)*u)**(-10/11)*u**13*u**(-5)/u assuming u is positive. u**(72/11) Simplify (u/(u/(u/u**(2/7))))**29*u/(u*u**(-4)*u)*(u*u**(9/4)*u)/u assuming u is positive. u**(755/28) Simplify (o**(1/19)/(o*o**(-4/5)))/(o**0/((o/o**17)/o)) assuming o is positive. o**(-1629/95) Simplify n**(-8)*n**(-11/4)*n**(-10)*n*(n*(n/((n/(n*n*n*n*n*n**(-11)*n*n))/n))/n)/n assuming n is positive. n**(-95/4) Simplify (d*d**(4/9))/d**(-2/7)*(d**(-1/4))**(-22) assuming d is positive. d**(911/126) Simplify ((y**(-1)*y)/y**(-2/7))/(y**(2/3))**35 assuming y is positive. y**(-484/21) Simplify (((y**(2/5))**(-3/16))**(-4/13))**(26/7) assuming y is positive. y**(3/35) Simplify ((j*j**(-5)/j)/j**(-5)*j*((j*j/j**(-2))/j)/j*j/(j/((j/(j/(((j*j*j/(j*j/j**(-5/2)*j)*j)/j)/j))*j)/j))*j)**19 assuming j is positive. j**(19/2) Simplify (f/f**0)**32/(f*(f**(-2)*f)/f)**(-2/5) assuming f is positive. f**(158/5) Simplify (k**(-3/2))**(-17)/(k*k/(k**29*k)*k**(7/4)) assuming k is positive. k**(207/4) Simplify q**(-17)*q**1*q*q*q**(-26)*q*q**(-34)*q*q assuming q is positive. q**(-71) Simplify (r*r*r/(r*r/r**0*r*r)*r*r*r/((r*r/(((r/(r/(r*r*r*r**(-5/6)/r*r*r)))/r)/r))/r))/(r**(-4)/r*r**(-9)*r) assuming r is positive. r**(91/6) Simplify ((a*((a/(a**(1/2)/a*a))/a)/a)/a)**(2/7)/(a/a**(1/4))**(10/7) assuming a is positive. a**(-3/2) Simplify (((l*l**(5/3))/l*(l/(l/(l/(l*l/(l/((l/l**1)/l))))))/l)**39)**(-30) assuming l is positive. l**(-1950) Simplify (((p*(p**(-10)*p)/p*p)/p**10)**43)**(-2/3) assuming p is positive. p**516 Simplify (m**(-20)/m)/m**4*((m*((m*m**(-5/4))/m*m*m)/m)/m*m)/m**(-13) assuming m is positive. m**(-45/4) Simplify ((v**4*v**1)/(v**(1/4))**(-25))**(-12) assuming v is positive. v**(-135) Simplify (f**1*f/(f*f*f/(f**(-8)/f)*f))/((f/(f*f**2))/f**9) assuming f is positive. 1 Simplify (b**(-2/11)*b)**(-2/13)*b*b*b/((b**(2/61)/b)/b)*b**(-2/59) assuming b is positive. b**(2474183/514657) Simplify ((s*(s/(s**13/s))/s*s*s)/s**(13/2))/((s**17*s)/(s**(-5/7)*s)) assuming s is positive. s**(-465/14) Simplify (o**8/((o/(o/(o/o**(-15))))/o))/(o**(-1/2))**(-15) assuming o is positive. o**(-29/2) Simplify (c**1*c**(-6/11)/c*c*c)/((c**0*c)/c**(2/25)) assuming c is positive. c**(147/275) Simplify q**(-12)*q**(-6)*q**(-1/18)*q**(-1/22) assuming q is positive. q**(-1792/99) Simplify ((l*l**10)/l)/l**(18/5)*(l/l**(-13))**(2/175) assuming l is positive. l**(164/25) Simplify ((s**7/s*s*s)/(s/(s**(1/2)*s)*s))/(s**(-4/9)*(s*s*s**(4/3)*s)/s) assuming s is positive. s**(83/18) Simplify ((g/g**(-21)*g*g*g/(g*g**(-11)*g*g*g*g))**(-6))**(5/8) assuming g is positive. g**(-465/4) Simplify ((u*u*u/(u/(u**(-2)/u))*u*u*u)**11*(u**(-4)/u)**(2/21))**15 assuming u is positive. u**(2260/7) Simplify (p/(p**31/p)*p**(-4/11))**(-45) assuming p is positive. p**(14535/11) Simplify g**(-3)/(g**(-6)*g)*(g**(1/2))**27 assuming g is positive. g**(31/2) Simplify j**(7/5)/(j*j**(6/5))*j**9/(j*j**(-3/16)) assuming j is positive. j**(591/80) Simplify ((((k*k/(k**(-4)*k))/k)/(k/(k/(k*k**9*k*k))))**(-5/6))**(2/31) assuming k is positive. k**(40/93) Simplify ((h/(h/((((h*h**(7/3)/h)/h)/h)/h*h))*h)/(h**9/h)*h**(2/15)*h**(-1/20)/h)**(2/33) assuming h is positive. h**(-91/198) Simplify (u*u**(-2/5))**(-2/33)*u**(6/5)*u/((u*u**(-11)*u*u)/u)*u assuming u is positive. u**(669/55) Simplify (z**4*(z/(z*z**(2/23)))/z)/(z**(-1/17)/(z*(z*z**(-3/8))/z)) assuming z is positive. z**(11251/3128) Simplify (((n*(n*(n*n/n**(4/3))/n*n)/n*n)/n)/(n*n/(n**(-19)/n)))/(n**(-3)*n*(n*n**(19/2))/n) assuming n is positive. n**(-167/6) Simplify (((m*m/m**(-2/21))/m)/m**(-27))**(2/13) assuming m is positive. m**(1180/273) Simplify n*n*n/n**(7/5)*n**4*n*n**(-18/11)/n**(-21) assuming n is positive. n**(1428/55) Simplify (q/((q/q**14)/q)*q**(2/37))/(q/q**(-8))**49 assuming q is positive. q**(-15760/37) Simplify (x**(-3/4)/x*x*x**19)/(x**(1/7)*x**(14/5)) assuming x is positive. x**(2143/140) Simplify (h*h**7/h*(h/(h*h**(2/29)*h))/h)/((h**(-1)/h)/(h**(-2/13)/h)) assuming h is positive. h**(2178/377) Simplify (v**(-5))**(-4/17)*((v/v**12)/v)/v*v**(10/3)*v assuming v is positive. v**(-382/51) Simplify ((n**(-17)*n)/((n/((n*n**16*n)/n))/n))/((n*n**(-4/5))/(n*n**14)) assuming n is positive. n**(79/5) Simplify ((l*l**(-23)/l)/l**(-5/3))/(l**(-30)*l*l*l*l*l/(l**3*l)) assuming l is positive. l**(23/3) Simplify ((j/(j*j**(1/8)))/((j/j**(-9)*j)/j))/(j*j/(j*j**(1/11))*j/(j/j**(-2/31))) assuming j is positive. j**(-29925/2728) Simplify (f/(f/(f/(f/f**(4/7)))))/f**19*(f/(f*f**8))**29 assuming f is positive. f**(-1753/7) Simplify (c**8*c**(-1/6))/(c**(-1/19)/(c*c**(-3/7))) assuming c is positive. c**(6749/798) Simplify ((q*q**(-14))/q)/(q/(q*(q/q**13)/q*q))*q**(-3)*q*q/(q**19/q)*q assuming q is positive. q**(-44) Simplify (m**(3/8))**28/(m**(1/12)*m**(-2/7)*m) assuming m is positive. m**(815/84) Simplify h**(1/6)/h*(h*(((h**(-29)/h)/h)/h)/h*h)/h*h*h/(h*h**(2/49)*h)*h/(h*h/h**(-7/4)) assuming h is positive. h**(-20947/588) Simplify (a**31*a**(1/5)*a)/(a/a**(2/35))**(1/5) assuming a is positive. a**(5602/175) Simplify s**(-2/13)/(s*s**5*s*s*s)*s*(s/(s**(-26)/s))/s*s*s/(s/s**(-9)) assuming s is positive. s**(141/13) Simplify y**(-1/50)/y*y**(-18/5)*(y*y*y**(-5/2)*y)**(-2/107) assuming y is positive. y**(-24767/5350) Simplify (g*g**(2/5))/(g**(-22)*g)*g**(4/7)*g**(3/8) assuming g is positive. g**(6537/280) Simplify (j**(-11)*j**(-1/6))/(j*j*(j**(5/2)/j)/j*j*j*j*j**(-1/5)) assuming j is positive. j**(-247/15) Simplify (a/((a*a**(-3/5))/a))**37/(a**(-1/8))**(4/23) assuming a is positive. a**(13621/230) Simplify (((h**8/h)/(h*h*((h**1/h)/h*h)/h*h))/(h*h*h**2*h)**(-15))**(1/16) assuming h is positive. h**5 Simplify (l**(-5/7)/(l*l**(5/4)))/(l**(1/4)/(l*l**4*l)) assuming l is positive. l**(39/14) Simplify l**(-8)*l*l**(2/19)*l*l**(-2)/(l/(l/(l*l**6))) assuming l is positive. l**(-283/19) Simplify ((d**34/d)/((d*d**22)/d))**(-48) assuming d is positive. d**(-528) Simplify (n**(-2/7))**(-7/5)/(((n**(1/16)/n*n)/n)/n*n*n**(1/24)) assuming n is positive. n**(311/240) Simplify (g**(15/7)*g**(6/5))**(-14) assuming g is positive. g**(-234/5) Simplify (((((j/(j*(j*j*j**24*j)/j))/j)/j*j)/j)/j)/j*(j*j/j**8*j)/j*(j/j**(4/13))/(j*j**27) assuming j is positive. j**(-823/13) Simplify (n*n/n**(2/5))**15/((n**(-2/21)*n)/(n**(-1/12)*n)) assuming n is positive. n**(2017/84) Simplify (((v*v/(v*v**(3/5)))/v)/(v/v**2)*((v**(-7)*v*v)/v)/((v/(v/(v/v**3)))/v))**49 assuming v is positive. v**(-637/5) Simplify (f/f**1)**(-3/4)*(f**4)**(-31) assuming f is positive. f**(-124) Simplify w**(-2/51)/w*w**(-19)/w*w*w**(-4)*w/(w*w**(-1/11)) assuming w is positive. w**(-13435/561) Simplify p*p**(1/2)*p*p*p**(-12)/p*p*(((p**1/p)/p)/p)/p*p**12/p assuming p is positive. 1/sqrt(p) Simplify p*p**6*p*p/(p**0/p)*(p**(1/8)*p)/p*p**(2/5) assuming p is positive. p**(421/40) Simplify (q**9)**(3/20)/(((((q/q**(-2/3))/q)/q)/q*q*q*q)/q*q)**(2/3) assuming q is positive. q**(43/180) Simplify w**(-1/6)/w*w/(w*w**(-7)/w)*w*((w*w**(3/4))/w)/(w*w**(1/12)*w*w) assuming w is positive. w**(11/2) Simplify c**7*c*c*c*c/((c*c**(-20)*c)/c)*(c**6)**11 assuming c is positive. c**96 Simplify (((g**(1/3))**(-6/19))**34)**(2/19) assuming g is positive. g**(-136/361) Simplify ((a*a**(-3/4))/a)**1*a/(a*a**(-4/7))*a**(2/9) assuming a is positive. a**(11/252) Simplify (((g/(g/(g/((g*g**(-2/15))/g))))/g**(1/4))/(g**(-3)*g**(1/4)/g))**29 assuming g is positive. g**(4031/30) Simplify ((((m/(m/(m*m*m*m**(-2/9)*m*m)))/m)/m)/m)**(2/5)*(m**(-6)*m)/m**(-2/23) assuming m is positive. m**(-4349/1035) Simplify u**(-2/5)/(u**(-2)/u)*(u**(-1))**(-1/6) assuming u is positive. u**(83/30) Simplify (i**(8/3)*i**11)**(20/7) assuming i is positive. i**(820/21) Simplify ((u*u**(-5)/u)/(u/(u/u**(-2/11)))*(u**(-1))**(1/11))**(17/2) assuming u is positive. u**(-459/11) Simplify (m/m**(-11))/(((m**(-14/11)/m*m)/m)/m)*(m**(-12)*m)**10 assuming m is positive. m**(-1042/11) Simplify (i/i**35)/(i/(i**(-1/10)*i))*(i**(-1))**27 assuming i is positive. i**(-611/10) Simplify (n**(-1)/(((n*n**3)/n)/n*n))/(n/(n**(-13)/n)*n**16) assuming n is positive. n**(-35) Simplify (((u**0)**(-12))**(-16))**(-2/9) assuming u is positive. 1 Simplify (h**(-3))**(2/7)*h**(-4)*h**(3/5) assuming h is positive. h**(-149/35) Simplify k/(k*k**12)*k**
{ "pile_set_name": "DM Mathematics" }
of 3*k**4/2 - 2*k - 3. Differentiate q(n) with respect to n. 18*n**2 Suppose 3 = 3*h - 3*z, -z - 11 = -4*h - 4*z. Find the second derivative of -5*v + h*v + 4*v - 2*v**3 wrt v. -12*v What is the third derivative of -7*l**3 - l**2 + 14*l**2 + 7*l**3 - 17*l**4 wrt l? -408*l Let m(a) = -7*a + 22. Let d(y) = -4*y + 11. Let c(i) = 11*d(i) - 6*m(i). Let j(n) = n + 6. Let z(s) = 4*c(s) + 7*j(s). Find the first derivative of z(f) wrt f. -1 Let m = 30 - 28. What is the second derivative of -3*u - 2*u**4 - 12*u**m + 12*u**2 - 5*u**4 wrt u? -84*u**2 Let r be ((-3)/(-1) - 1)*1. Suppose o - 5*z = 11, -r*z + 7*z = 4*o - 14. Find the first derivative of 5*v**3 - 3*v**3 + 0*v**3 - o wrt v. 6*v**2 Let j(w) be the second derivative of w**8/56 + 11*w**4/12 - 13*w. Find the third derivative of j(a) wrt a. 120*a**3 Let p(s) = s**5 + s**4 - s**2 - s + 1. Let f(b) = 30*b**5 + 3*b**4 - 3*b**2 - 15*b + 3. Let w(c) = -f(c) + 3*p(c). What is the second derivative of w(x) wrt x? -540*x**3 Let u(r) be the first derivative of 3/4*r**4 - 3/2*r**2 + 0*r + 0*r**3 + 5. Find the second derivative of u(h) wrt h. 18*h Let l be (6/(-8))/(3/(-12)). What is the third derivative of 11*u**2 + 0*u**2 - 9*u**2 - 2*u**l wrt u? -12 Let m(z) be the first derivative of -z**6/5 + 5*z**4/12 + 8*z + 2. Let g(i) be the first derivative of m(i). Find the third derivative of g(p) wrt p. -144*p Let v be (-23)/(-5) + (-6)/(-15). Find the third derivative of 6*b**3 - 4*b**3 - 3*b**2 - 2*b**3 + 2*b**v wrt b. 120*b**2 Let l(b) be the first derivative of -9*b**4/4 + 5*b**3/3 + 10. Find the third derivative of l(n) wrt n. -54 Let k(q) = 7*q**2 - 4*q - 44. Let i(t) = -36*t**2 + 20*t + 219. Let l(a) = -2*i(a) - 11*k(a). Find the first derivative of l(g) wrt g. -10*g + 4 Let d(q) be the second derivative of -13*q**3/3 - 13*q**2 - 8*q. What is the derivative of d(v) wrt v? -26 Let b = 6 - 4. Suppose 7*g = b*g + 10. What is the third derivative of 3*u**2 - 3*u**2 + 3*u**g - 3*u**5 wrt u? -180*u**2 Let c(q) be the third derivative of 2*q**5/15 + q**4/4 - q**2. Find the second derivative of c(j) wrt j. 16 Suppose 3*f + j + j = 5, 3*f + 5*j = -1. Differentiate 11 + 0 + 10*y**2 - f - y**2 wrt y. 18*y What is the third derivative of 2*x**4 - 8*x**2 + 8*x**2 + 7*x**2 + 4*x**4 wrt x? 144*x Let j(x) = -4*x**3 - 14*x. Let c(f) = -3*f**3 - 13*f. Let d(v) = -7*c(v) + 6*j(v). What is the second derivative of d(r) wrt r? -18*r Suppose -5*k + 4*g + 429 = 139, 0 = -3*g. Let h be (-4)/18 - k/(-18). What is the third derivative of 0*t**2 - h*t**4 + t**4 - 2*t**2 + 5*t**2 wrt t? -48*t Let i(c) = -174*c**2 - 34*c - 161. Let h(p) = -29*p**2 - 6*p - 27. Let z(y) = 34*h(y) - 6*i(y). Differentiate z(q) wrt q. 116*q Let p(c) be the first derivative of -7*c**6/360 + c**4/24 + c**3 - 1. Let t(h) be the third derivative of p(h). Differentiate t(n) with respect to n. -14*n Let s(w) be the third derivative of -w**4/6 - 4*w**3/3 - 2*w**2. Let m(g) = -g + 1. Let p(q) = 6*m(q) + s(q). What is the first derivative of p(j) wrt j? -10 What is the third derivative of 22*v**2 + 37*v**3 - 12*v**3 - 11*v**2 wrt v? 150 Suppose 5*c = -2*k + 5, -2*k = -4*c + 2*k + 32. Suppose -c*q = 2*q - 10. Find the second derivative of q*s - s**2 - s - 2*s**2 wrt s. -6 Let s(m) be the third derivative of m**7/30 + m**3/2 - 7*m**2. What is the first derivative of s(b) wrt b? 28*b**3 Let h(n) be the second derivative of n**6/10 - n**4/12 - 8*n**3/3 - n - 17. Find the second derivative of h(m) wrt m. 36*m**2 - 2 Differentiate 41*i**2 + 52*i - 21*i**2 + 42 - 2*i - 18*i**2 wrt i. 4*i + 50 Let v(l) = l**2 + l. Let k = 3 + -2. Let a = -16 + 14. Let n(u) = -2*u**3 + 2*u**2 - u. Let j(x) = a*v(x) + k*n(x). Find the second derivative of j(f) wrt f. -12*f Let l(c) be the first derivative of 0*c**2 + 0*c**6 - 4 + 0*c**4 + 0*c**5 + 4/7*c**7 + 0*c + 4/3*c**3. What is the third derivative of l(k) wrt k? 480*k**3 Let s(w) be the third derivative of 0 + 0*w**4 + 0*w - 2/3*w**3 + 0*w**5 - 6*w**2 - 11/120*w**6. What is the derivative of s(z) wrt z? -33*z**2 Let b(f) = 34*f**3 - 39*f**2 - 2*f + 2. Let n(t) = -101*t**3 + 116*t**2 + 7*t - 7. Let s(g) = -7*b(g) - 2*n(g). What is the third derivative of s(w) wrt w? -216 Let u(w) be the first derivative of -2*w**5/5 + 39*w**2/2 + 60*w - 2. What is the derivative of u(m) wrt m? -8*m**3 + 39 Let m(o) be the second derivative of 2*o**6/5 - o**2 - 7*o. What is the first derivative of m(j) wrt j? 48*j**3 Suppose 3*n - 9 = -0*n. Let u(d) be the first derivative of n + 0*d**2 + d + 2/3*d**3. Differentiate u(k) wrt k. 4*k Suppose 8*t - 15 = 3*t. What is the second derivative of 9*g**2 - 2*g - t - 11 + 14 wrt g? 18 Let a(r) be the second derivative of 23*r**6/30 + 27*r**2/2 - 32*r. Differentiate a(p) with respect to p. 92*p**3 Suppose 3 = m - 0. Find the first derivative of -3*c**3 - 5*c + 3*c - m + 2*c wrt c. -9*c**2 Find the third derivative of -12*q**5 - 4*q**5 + 6*q**5 - 5*q**2 + 3*q**5 wrt q. -420*q**2 Let n(r) = 2*r + 1. Let s(p) = p + 2. Let q be s(0). Let t be n(q). Find the first derivative of t + 1 + 3*m - 3 wrt m. 3 Suppose 2*o - 13 = o - 5*d, 3*o - 5*d = -21. Let a be -1 + 3 - o/1. Find the second derivative of 10*r**3 + 3*r - 10*r**3 + 3*r**a wrt r. 36*r**2 Suppose -2*z + 4 = r + 4*r, 8 = -2*r - 4*z. Find the second derivative of 0*j - j + 3*j - r*j**4 wrt j. -24*j**2 Let f(i) = 5*i**3 + 9*i**2 + 7. Let x(l) = -2*l**3 - 4*l**2 - 3. Let q(o) = -4*f(o) - 9*x(o). Find the first derivative of q(w) wrt w. -6*w**2 Let w(r) be the second derivative of -r**5/5 - 9*r**3/2 + 5*r. What is the second derivative of w(h) wrt h? -24*h Let s(y) = 6*y - 1. Let c be s(1). What is the second derivative of -2*b**5 + 2*b**4 - b**c + 3*b - 2*b**4 wrt b? -60*b**3 Let g(q) be the first derivative of q**6/180 - q**4/12 - 2*q**3/3 - 2. Let o(z) be the third derivative of g(z). What is the first derivative of o(s) wrt s? 4*s Let q(v) be the second derivative of 17*v**6/30 - 9*v**2/2 + 16*v. What is the derivative of q(c) wrt c? 68*c**3 Let f(m) be the second derivative of 3*m**5/10 + m**3/3 + m. Find the second derivative of f(w) wrt w. 36*w Let y(r) = -3*r**2 - 2. Let p(o) be the second derivative of -3*o**4/4 - 3*o**2 - 3*o. Let t(j) = 2*p(j) - 7*y(j). Differentiate t(u) with respect to u. 6*u Let c(t) be the second derivative of -31*t**5/20 + t**2/2 + 9*t. Differentiate c(l) with respect to l. -93*l**2 Let z(w) be the first derivative of -19*w**2/2 - w - 2. Let d be z(-1). Differentiate 3*u**4 + 2 - 18*u**3 + d*u**3 with respect to u. 12*u**3 Let x(h) = -h**3 + h**2. Let d(y) = 7*y**3 + 6*y**2 - 22. Let j(u) = -d(u) + 6*x(u). Differentiate j(n) wrt n. -39*n**2 Let j(l) be the first derivative of -l**6/10 + 3*l**2/2 - l - 1. Let w(m) be the first derivative of j(m). What is the first derivative of w(z) wrt z? -12*z**3 Let f(z) = -z**2 - 17*z. Let j(n) = -3*n. Let o(c) = -6*f(c) + 39*j(c). Find the second derivative of o(r) wrt r. 12 Let o(u) be the first derivative of u**9/56 + u**5/6 + u**2 + 8. Let z(h) be the second derivative of o(h). What is the third derivative of z(y) wrt y? 1080*y**3 Let u(a) be the third derivative of -a**6/120 + a**5/20 - a**2. Find the third derivative of u(z) wrt z. -6 Let w(j) be the first derivative of 2*j**3/3 + j**2/2 - 6. Find the second derivative of w(o) wrt o. 4 Let k(i) be the second derivative of -1/3*i**4 + 0*i**2 - i + 0 - 5/6*i**3. What is the second derivative of k(d) wrt d? -8 Let f = 13 + -20. Let x(d) = 3*d**2 + 10*d. Let z(b) = -2*b**2 - 7*b. Let u(q) = f*z(q) - 5*x(q). Find the second derivative of u(g) wrt g. -2 Suppose 4*z - 5*b = 18, -z - 6 = -4*b + 8*b. What is the second derivative of -3*r**5 + 0*r**5 - 4*r - z*r + 2*r wrt r? -60*r**3 What is the derivative of 4*i - 6 - 6*i + 4*i - 5*i wrt i? -3 Let q be 2 + 0 - 1*8. Let w be ((-8)/q)/((-2)/(-15)). What is the first derivative of -7*t**2 + w*t**2 - 2 + 1 wrt t? 6*t Let j(o) = -o**3 + 3*o**2 + 3*o - 4. Let m be j(3). Find the second derivative of -f + 0*f - m*f**2 + 3*f**2 wrt f. -4 Let l(g) be the third derivative of 2*g**7/35 - g**4/24 - 8*g**2. What is the second derivative of l(b) wrt b? 144*b**2 Suppose 0 = -2*q + 5*l - 15, -3*l = 5*q + 2*l - 15. What is the first derivative of -3 + 2 - 3 + q*o**3 - 2*o**3 wrt o? -6*o**2 Let k(h) = h - 13. Let r(t
{ "pile_set_name": "DM Mathematics" }
+ l + w*c and give r. -251 Express 1571*n - 523*n - 519*n - 526*n + 212 as o + r*n and give o. 212 Rearrange 7*r**3 + 4 - 106*r - 2 - r**3 - r**3 to the form x*r**3 + o*r**2 + b*r + a and give x. 5 Rearrange (4*w + w - 2*w)*(6262 + 4868 - 4969) to g*w + m and give g. 18483 Express -263 - 272 - 140*t + 506 as r*t + h and give r. -140 Express -416*h - 10*h**2 + 839*h - h**2 - 1 - 397*h in the form t*h + q + o*h**2 and give o. -11 Express 146*y - 8*y**3 + 157 + 3*y**3 - 294*y + 148*y as j*y**2 + z*y**3 + c + x*y and give z. -5 Express (17*o**2 + 18*o**2 - 50*o**2)*(40 + 4*o**2 - 790*o + 791*o - 2*o**2) in the form m + d*o**3 + n*o**4 + g*o**2 + z*o and give n. -30 Rearrange (0 - 4 + 1)*(0*h - 4*h + 3*h)*(59 - 109 - 75)*(-6 + 4 - 1) to the form c*h + n and give c. 1125 Express (3 + 1 - 2)*(345 - 399 + 738)*(10*c + 3 - 3) as y*c + d and give y. 13680 Rearrange -7*q + 3 - 22*q - q**4 - q**2 - 133*q**3 + 133*q**3 to the form y*q**2 + h*q**4 + o*q**3 + v + u*q and give h. -1 Express 0*c**3 + 6*c**3 - 5*c**3 + (-23*c**2 - 29*c**2 + 8*c**2)*(-3*c + 2*c - c) + (-c - 2*c + c)*(1 - 2*c**2 - 1) as s*c**2 + y + a*c**3 + f*c and give a. 93 Express 1 - 1 - a + (0 + 4 - 5)*(2*a + 4*a - 4*a) + 0*a + 2*a - a + (1 + 2 - 1 + (-1 + 0 + 3)*(-6 + 1 + 3))*(-274*a - 52*a - 74*a) as w*a + d and give w. 798 Express (185632872 - 185632872 + 21738*j)*(-j + 0 + 0) as c + p*j + l*j**2 and give l. -21738 Rearrange -42 + 11 + 16 + 15 + 32482*y to the form f + x*y and give x. 32482 Rearrange (-8*c - 3*c - 12*c)*(2284*c**2 - 326*c**3 - 2284*c**2) to the form d + k*c + i*c**4 + v*c**3 + a*c**2 and give i. 7498 Express -2*b + 2*b + b**2 + (32*b + 5*b - 6*b)*(11*b - 5*b + 0*b) as g*b**2 + t*b + y and give t. 0 Express -k - 408914 + 6*k + 2*k**2 + 408921 as a*k + x*k**2 + d and give x. 2 Rearrange (-215 - 33 + 41)*(-3 + 2 + 3)*(27*a - 326 + 326) to v + o*a and give o. -11178 Rearrange -170*j**2 - 2 - 37*j - 41*j + 92*j**2 + 78*j to the form x + z*j + p*j**2 and give x. -2 Rearrange -147 - 31724*x + 31715*x - 53 to y + r*x and give r. -9 Rearrange -185*l + 185*l + 17*l**3 + (3*l - 3*l + l)*(0*l - 2*l**2 + 0*l) - 51*l**3 - 23*l**3 - 2*l**3 to w*l**3 + a + q*l**2 + g*l and give w. -61 Rearrange -4930*z + 69*z**2 + 4930*z + (102*z + 183 - 183)*(5*z - 3*z + 0*z) to the form h + p*z**2 + i*z and give p. 273 Rearrange -2*v**2 + 287*v**3 + 635 - 65*v**3 - 218*v**3 to the form a + i*v**3 + o*v + f*v**2 and give i. 4 Express 3 - 8 - 610254*p**3 + 5*p - 3*p**4 + 610249*p**3 in the form x + n*p**3 + d*p**2 + l*p**4 + w*p and give x. -5 Express -5 + 0 + 3 - 10*i**3 - 118*i**2 + 121*i**2 - 1 + 3*i in the form v + m*i**3 + l*i + z*i**2 and give z. 3 Rearrange -178 - 144 + 2*s - 142 - 21*s**4 + 449 to n*s + u + p*s**4 + k*s**3 + b*s**2 and give n. 2 Rearrange (-8 - a**2 + 8)*(1 - 12 + 18)*(-3 - 2*a + 3) + (-11 + 4*a + 11)*(0*a**2 - 3*a**2 + 4*a**2) to the form s*a + j*a**2 + h + v*a**3 and give v. 18 Express 14 + 1821*n + 7 - 1867*n - 2*n**2 in the form w + z*n + d*n**2 and give z. -46 Express 677*r**4 - 5*r - 4 - 723*r**4 + r**2 + 5*r as i*r + a*r**4 + l + b*r**2 + x*r**3 and give l. -4 Rearrange -18299*n + 35672*n - 20038*n - n - 3*n + n + (-1 + 3 - 3)*(0*n + 2*n - 4*n) to the form x*n + k and give x. -2666 Express -2 + q + 2 + 22 - 29 - 52 - q + 0*q + 3*q - 2*q + (5 - 2 + 1)*(1 - 3*q - 1) as j + u*q and give u. -11 Express -343*l + 90*l - 255*l - 137*l + 26*l - 5*l**2 as p*l**2 + x*l + u and give x. -619 Express (2*f - f + 0*f)*(3382 + 518 + 206 + 5141)*(-1 - 2*f**2 + 1) in the form l*f + j*f**2 + q*f**3 + s and give q. -18494 Express -51 + 9*x - 66 + 43 - 3 - 58 in the form u*x + n and give u. 9 Express -1934*d - 1610 + 770*d + 3220 - 1610 in the form z + l*d and give l. -1164 Rearrange -11191*w**4 - 2*w**2 + 4*w**2 + 0*w**2 - 4*w**3 + 2*w**3 + 11048*w**4 to the form f + t*w + j*w**4 + z*w**2 + a*w**3 and give z. 2 Express 93*s - 224*s + 129*s - 14*s**2 - 3*s**4 - 3*s**3 as i*s + n*s**2 + a*s**3 + u*s**4 + y and give i. -2 Express -5 + 7 + 58*v - 1 + 9*v as r + j*v and give j. 67 Rearrange (-59*w + 8*w + 25*w - 6144 + 20*w)*(-3 + 5 + 0*w**2 + 3*w**2) to u*w**3 + o + z*w + f*w**2 and give u. -18 Rearrange -2*b**2 + 2 - 1342*b**3 + 70*b - 48*b - 22*b to the form x*b**2 + f*b**3 + k*b + t and give x. -2 Rearrange 1467049*g**2 - 3*g**4 + 183 - 1467049*g**2 + 5*g to m*g**3 + d + p*g**2 + o*g**4 + j*g and give o. -3 Rearrange 4*g**3 - 24*g**3 - 9*g**3 + 15*g**2 - 40*g**2 + 2*g**3 to the form t*g**3 + x*g + s + o*g**2 and give o. -25 Express (5*f**2 + 5*f**2 - 4*f**2)*(-2*f - f + 2*f) + 117*f - 117*f + f**3 + f**2 in the form m*f + v*f**2 + i*f**3 + l and give v. 1 Express 31093*t**2 - 16276*t**2 - 4972*t**2 as j*t + o + s*t**2 and give o. 0 Express (-5 + 2 - 6)*(-4 + 1 + 2)*((2 + 2 - 11)*(5 + 9 - 5) - 3 - 1 + 2)*(12*o + 18*o - 13*o) as g*o + u and give g. -9945 Express -4*h**2 + 9*h**2 + 3*h**2 + (-5*h + 0*h + 3*h)*(-2 + 2 + 2*h) - 2 + 2 - 3*h**2 + (3*h + 53 - 53)*(2*h - 14*h + 3*h) as l*h + g*h**2 + y and give g. -26 Express -5*f**4 + 12*f + 5*f**2 + 98 - 25*f**3 + 23*f**3 - 4*f**2 - 100 in the form y*f**3 + j*f**4 + s*f**2 + i + u*f and give y. -2 Rearrange (6 - 2*m**2 - 6)*(1326 - 4671 - 2501 - 1712) to k + h*m**2 + a*m and give h. 15116 Express -4*a**2 - 236*a**4 - 8*a - 2 + 359*a**4 - 4*a**2 + 10*a + 7*a**2 as g*a**4 + m*a + s*a**2 + i + h*a**3 and give i. -2 Rearrange (1 - 31 - 47)*(0 + 1 + 1)*(-1 + 1 - 1)*(t + 0*t - 2*t) to d*t + h and give h. 0 Express -2 - 2 - 731*x**2 + 94*x**3 + 734*x**2 in the form n*x**3 + k*x + h + y*x**2 and give k. 0 Rearrange (0*y + 2*y - 4*y)*(2*y + 4*y - y) - y**2 - 2*y**2 + 0*y**2 - 4*y**2 + 2*y**2 + 0*y**2 + 4*y**2 + 0*y**2 + 0*y**2 to u*y + d + t*y**2 and give t. -11 Express 2*c**3 - c**3 + 3*c**3 + (166 - 301 + 234)*(1 + 2*c - 1)*(0*c + 0*c - 2*c**2) in the form s*c**2 + y + h*c**3 + q*c and give h. -392 Express (0*s + 4*s + 0*s)*(-4 + 1 + 4)*(6 - 14*s + 7*s - 83*s) as t + c*s**2 + o*s and give c. -360 Rearrange -299*o**3 + 706*o**3 + 690*o**3 - 3*o**2 + o**3 + 3*o**2 + (-11*o + 3*o**2 + 11*o)*(-3*o + 3 - 3) to u*o + l + v*o**3 + n*o**2 and give v. 1089 Express 5*b - 6*b - 2*b + (6 - 8 + 5)*(179*b - 2831 + 2831) as n + h*b and give h. 534 Rearrange 4*l**2 + 432*l - l**2 - 141*l - 144*l + 4 + 10*l**3 - 148*l to x + a*l**2 + c*l**3 + y*l and give y. -1 Rearrange -310 + 630 + 1113*j - 319 to the form m*j + h and give m. 1113 Rearrange -2 - 737*w + 737*w - 3*w**2 - 7*w**4 + 991*w**3 + 26 - 989*w**3 to n*w**3 + v*w**2 + d + l*w**4 + t*w and give v. -3 Express -2*m + 4*m - 2*m**2 - m + 10*m**2 - 2*m**2 + 0*m**2 + (-3 + m + 3)*(-m + 2*m + 0*m) + 2*m**2 + 4*m**2 - 3*m**2 in the form v + u*m + n*m**2 and give u. 1 Rearrange -11*j**4 + 15*j + 23*j**4 + 150*j**3 - 151*j**3 - 13*j**4 + j**2 to m + g*j**3 + d*j**4 + x*j + r*j**2 and give g. -1 Express -16 + 6589*o**2 - o**3 + 2*o - 6592*o**2 + 2 as u + k*o + l*o**2 + b*o**3 and give l. -3 Express (-2 + 5 + 0)*(516 - 1043 + 526 + 1089*z) as m*z + o and give m. 3267 Rearrange 26209 - 34362*n - 26209 to the form d + j*n and give j. -34362 Rearrange 7669 - 7669 + 4793*u**2 to g*u**2 + w + y*u and give g. 4793 Express (7*l**3 - 3*l**3 + 16*l**3 + (-l**2 + l**2 + l**2)*(7*l - 2*l - 2*l))*(-88 - 133 - 8 + 29) as r*l + x*l**3 + o*l**2 + a and give o. 0 Express 190710*d**2 - d**3 - 2*d**3 - 190701*d**2 - 34 - 14 + d as x*d**2 + u*d + o + n*d**3 and give n. -3 Express (-19637 - 4893 - 10660 + 4314 + 147)*(-3 + 7 - 1)*(-3*v + 2*v + 0*v) as l + n*v and give n. 92187 Express (1289*l + 404*l + 1003*l + 227*l + 2599*l)*(-l**2 + 3*l**2 + 0*l**2) as h + x*l + b*l**3 + s*l**2 and give b. 11044 Rearrange -41 + 3*i - 27 - 648*i**2 + 213*i**2 + 66 - 12*i**3 + 15*i**3 to t*i**2 + h + d*i + m*i**3 and give h. -2 Rearrange -3*a + 18 + 16*a**3 + 10 + 2*a**2 + 14*a**3 + 3*a**3 - 27 to z*a + c*a**2 + s + g*a**3 and give c. 2 Express (-2*h + 4 - 4 + (4*h + 0*h - h)*(-5 + 3 - 1))*(4*h - 2*h + 7*h + (-2 - 3 + 4)*(-102 + 102 - 18*h)) as d + t*h**2 + v*h and give t. -297 Express (-4 - 2*q**2 + 4)*(2*q - 71 + 589 + 1067) as w*q**3 + b*q**2 + p*q + v and give b. -3170 Express 742*r**4 + 6 - 2 + 3*r + 75 - 372*r**4 - 371*r**4 - 2*r**2 in the form z + w*r**4 + a*r**3 + x*r**2 + j*r and give j. 3 Express -3034*k - 1148*k + 2589*k as j + w*k and give w. -1
{ "pile_set_name": "DM Mathematics" }
- 165*m**2 - 39*m = 0. What is m? -3/19 Factor 54/5*p**2 + 4/15*p**5 + 24*p**3 + 0 + 74/15*p**4 + 0*p. 2*p**2*(p + 9)**2*(2*p + 1)/15 Let h(c) be the second derivative of -c**5/40 - 7*c**4/36 - 17*c**3/36 - c**2/2 - 136*c. Factor h(t). -(t + 1)*(t + 3)*(3*t + 2)/6 Let g be 4 + 0*3/6. Suppose 4*b**5 + 5*b**3 + g*b**2 - 4*b**4 + b**3 - 3*b**3 - 7*b**3 = 0. What is b? -1, 0, 1 Let i(d) be the third derivative of 0*d + 0 - 19*d**2 + 0*d**3 + 13/288*d**4 - 1/720*d**5. Solve i(v) = 0 for v. 0, 13 Let q = 1681 + -5041/3. Find k, given that -2/3 - k**3 + k + q*k**2 = 0. -1, 2/3, 1 Let u = -10110 - -1213207/120. Let f(y) be the second derivative of 0*y**2 - 2*y - 1/8*y**4 - u*y**5 + 0 - 1/18*y**3. Factor f(b). -b*(b + 1)*(7*b + 2)/6 Suppose 9*b - 4*b - 40 = 0. Let o = -5 + b. Determine h so that -8*h**4 - 7*h**4 + o*h**5 - 3 + 9*h - 10*h**2 + 6*h - 20*h**2 + 30*h**3 = 0. 1 Let j = 463/4 - 2309/20. Let g(h) be the first derivative of -1/5*h + 7 - 1/5*h**3 - j*h**2 - 1/20*h**4. What is u in g(u) = 0? -1 Let o(y) be the first derivative of -1/24*y**6 - 1/16*y**4 + 0*y**2 + 0*y + 0*y**3 - 18 + 1/10*y**5. Factor o(x). -x**3*(x - 1)**2/4 Let m(o) = -2*o - 3. Let f(n) = -6*n - 9. Let q(c) = 4*f(c) - 11*m(c). Let a be q(-3). Solve -11*p**3 + 5*p**2 + p + p + 2*p**3 - a*p**3 = 0 for p. -1/4, 0, 2/3 Suppose 6*b + 0*b**4 + 2*b - 9*b**2 - 13*b + b**4 - 3*b**3 = 0. What is b? -1, 0, 5 Let y(a) = 8*a**4 - 56*a**3 - 128*a**2 - 68*a. Let x(n) = -9*n**4 + 55*n**3 + 127*n**2 + 68*n. Let b(c) = 4*x(c) + 5*y(c). What is k in b(k) = 0? -1, 0, 17 Let f be 4/10 - (-130)/50. Let s be (6/4)/f*10. Let -p + 28*p**2 + 6*p + 23*p**4 - 3*p**4 + 4*p**s + 3*p + 36*p**3 = 0. What is p? -2, -1, 0 Let p = 135/8 - 401/24. Let t(c) be the third derivative of -1/84*c**8 - 5*c**2 + 0*c**3 + 0*c + 0*c**5 - p*c**4 + 0 + 1/15*c**6 + 0*c**7. Factor t(n). -4*n*(n - 1)**2*(n + 1)**2 Let w(k) = k**3 + 6*k**2 - 3*k + 30. Let b be w(-7). Find r such that -4/7 - b*r**2 + 18/7*r = 0. 2/7, 1 Let g(c) = 78*c - 8. Let t be g(1). Suppose -9*i**3 + t*i**3 + 14*i**5 - 66*i**4 - 96*i + 80*i**2 - 2*i**3 + 5*i**3 - 32 = 0. Calculate i. -1, -2/7, 2 Factor -15/2*q**2 - 1/2*q**4 - 9/2*q**3 - 7/2*q + 0. -q*(q + 1)**2*(q + 7)/2 Suppose y = -5*u - 16, -3*u - 85 = 2*y - 81. Factor 0 - 2*l**y - 4/3*l - 1/3*l**5 - 13/3*l**3 - 4*l**2. -l*(l + 1)**2*(l + 2)**2/3 Suppose -2*z - 6 + 10 = 0. Let -53 + 2*u**3 + u**z + 53 - 3*u**2 = 0. What is u? 0, 1 Suppose 2*w = -w + 120. Solve -240*y + 6*y**2 + w*y**4 + 240*y + 30*y**3 - y**2 = 0. -1/2, -1/4, 0 Suppose m - 14*m**2 - m**3 + m**2 + 6*m**2 + 7*m**2 = 0. What is m? -1, 0, 1 Let g be (-5)/6*2408/(-1505). Solve -18*h**4 + 6*h**2 - g*h - 40/3*h**5 + 0 + 8/3*h**3 = 0. -1, 0, 1/4, 2/5 Factor 12/5*o**2 - 2/15*o**3 - 52/5 - 118/15*o. -2*(o - 13)*(o - 6)*(o + 1)/15 Let c be 1/(-1*(-2)/(-10)). Let a be (c - 1)/(10/(-5)). Suppose -10*x**3 - 21*x**4 - 12 - 48*x - 63*x**3 - 3*x**5 - 75*x**2 + 16*x**a = 0. What is x? -2, -1 Let v be 72/(-8)*42/(-35)*(-40)/(-36). Determine n so that 69/4*n**2 + 3 + 9/4*n**4 - 21/2*n**3 - v*n = 0. 2/3, 1, 2 Let p(y) be the third derivative of y**8/210 + 2*y**7/525 - 11*y**6/50 - 16*y**5/75 + 8*y**4/15 - 131*y**2. Let p(j) = 0. What is j? -4, -1, 0, 1/2, 4 Let h(k) be the second derivative of -k**5/10 + 8*k**4/3 - 5*k**3 + 3*k + 7. Determine b so that h(b) = 0. 0, 1, 15 Let c(y) be the first derivative of -y**6/90 + 2*y**5/15 - 2*y**4/3 + y**3/3 + 12. Let t(l) be the third derivative of c(l). Factor t(a). -4*(a - 2)**2 Let d(l) = l**2 + 5*l - 640. Let p be d(23). Let i(c) be the third derivative of -4*c**2 - 1/480*c**6 - 1/240*c**5 + 0 + 0*c + 0*c**3 + 0*c**p. Factor i(x). -x**2*(x + 1)/4 Let p = -461/20 + 774/5. Let q = -131 + p. Factor 1/2 + 1/4*w**2 + q*w. (w + 1)*(w + 2)/4 Let n = -25 - -11. Let q = 18 + n. Factor o**3 - 5*o**3 + q*o**5 + 0*o**3. 4*o**3*(o - 1)*(o + 1) Determine i so that -32/5*i**3 + 24/5 - 56/5*i**2 + 4*i + 12/5*i**5 + 32/5*i**4 = 0. -3, -1, -2/3, 1 Let 41*c**4 - 3*c**3 + 3*c - 4*c**4 + 6*c**4 - 82*c**2 + 39*c**2 = 0. Calculate c. -1, 0, 3/43, 1 Factor 24*s**5 + 3/2*s**2 + 0 + 0*s + 12*s**4 - 21/2*s**3. 3*s**2*(s + 1)*(4*s - 1)**2/2 Let u(i) = i**3 + 8*i**2 + 3. Let a be u(-8). Factor -7*f - f**5 + 7*f - 2*f**a + 2*f**4 + f**4. -f**3*(f - 2)*(f - 1) Suppose 3*i = 4*i - 14. Suppose 28 + i = 3*f. What is y in -2*y - f + 3*y**3 - y**2 + 14 = 0? -2/3, 0, 1 Let q(p) = -3*p**2 - 99*p + 102. Let x(y) = 6*y**2 + 198*y - 204. Let v(s) = 11*q(s) + 6*x(s). Suppose v(l) = 0. What is l? -34, 1 Factor -1/4*b**2 + 5*b - 3 - 3/4*b**3. -(b - 2)*(b + 3)*(3*b - 2)/4 Let r(g) = -g. Let y(a) = 2*a**2 - 14*a + 50 - 13*a + 3*a. Let p(k) = -4*r(k) + y(k). Solve p(j) = 0. 5 Let j(c) be the third derivative of -c**5/140 - 5*c**4/24 + 2*c**3/7 - 109*c**2 - 2. Solve j(l) = 0 for l. -12, 1/3 Let l be (-9)/(2/((-304)/(-12))). Let y = l - -160. Solve w**4 - 4*w - 42*w**5 + y*w**5 + 4*w = 0 for w. -1/4, 0 Factor 416/7 + 240/7*j + 6*j**2 + 2/7*j**3. 2*(j + 4)**2*(j + 13)/7 Let a(x) = -16*x**5 - 21*x**4 + 7*x**3 - 13*x**2 - 6*x - 11. Let f(l) = -l**5 - l**4 + l**3 - l**2 - l - 1. Let q(r) = -4*a(r) + 60*f(r). Factor q(c). 4*(c - 1)*(c + 1)**3*(c + 4) Let g = 2/13 - 72/637. Let x = g - -88/245. Factor -x*v**3 + 2/5*v**4 + 0*v**2 + 0 + 0*v. 2*v**3*(v - 1)/5 Let h(g) = g**3 - g - 1. Let s be h(2). Suppose 3*q + 2*q + 5 = -5*j, 4*q = 2*j + 14. Factor w**5 - 3*w**s + 6*w**4 - q*w + 2*w - 4*w**3. -2*w**3*(w - 2)*(w - 1) Let a(p) be the second derivative of -p**6/240 - p**5/80 + 5*p**3/3 - 9*p. Let v(m) be the second derivative of a(m). Factor v(s). -3*s*(s + 1)/2 Let u(x) be the first derivative of -5*x**8/336 + x**7/14 - x**6/12 + 13*x**2/2 - 6. Let b(z) be the second derivative of u(z). Determine t so that b(t) = 0. 0, 1, 2 Let i(y) = -10*y**2 - 17*y - 6. Let a be (-95)/38*16/10. Let v(n) = -12*n**2 - 18*n - 6. Let m(t) = a*i(t) + 3*v(t). Find f such that m(f) = 0. -3, -1/2 Let g(q) be the first derivative of -q**6/2160 - q**5/90 - q**4/9 - 5*q**3/3 + 18. Let b(z) be the third derivative of g(z). Factor b(s). -(s + 4)**2/6 Let h(i) be the third derivative of -3*i**7/280 + i**6/120 + i**5/2 + 3*i**4/2 - 35*i**3/6 + 33*i**2. Let g(s) be the first derivative of h(s). Factor g(c). -3*(c - 3)*(c + 2)*(3*c + 2) Let b be (-9 + 4 - -12) + -4 + -3. Suppose 1/5*o**4 + 2/5*o - 3/5*o**2 + b*o**3 + 0 = 0. What is o? -2, 0, 1 Let m(c) be the third derivative of c**7/735 - 199*c**6/420 + 2211*c**5/35 - 25047*c**4/7 + 95832*c**3/7 - 290*c**2. Find k such that m(k) = 0. 1, 66 Let p = 16910/6339 - 2/2113. Factor 4*j + 8/3 - p*j**2. -4*(j - 2)*(2*j + 1)/3 Let a(s) = 5*s + 12. Let c(n) = 14*n + 37. Let p(f) = -11*a(f) + 4*c(f). Let u be p(-8). Factor 16*g**4 + 20 - 20*g**2 + 10*g**5 - 2*g - u*g**3 - 3 - 13. 2*(g - 1)*(g + 1)**3*(5*g - 2) Let b(j) be the second derivative of j**7/14 - 113*j**6/10 + 84*j**5/5 + 594*j. Factor b(h). 3*h**3*(h - 112)*(h - 1) Let -88/7*l - 48/7 + 2*l**3 - 36/7*l**2 + 2/7*l**5 + 12/7*l**4 = 0. What is l? -3, -2, -1, 2 Factor 2/3*t**3 + 1/3*t**2 - 3/2 - 2*t - 1/6*t**4. -(t - 3)**2*(t + 1)**2/6 Let v(i) be the third derivative of 0*i + 1/120*i**6 - 1/24*i**4 + 1/420*i**7 + 0*i**3 - 17*i**2 + 0 - 1/120*i**5. Factor v(h). h*(h - 1)*(h + 1)*(h + 2)/2 Let s = 732800 - 589903829/805. Let h = s + -2/161. Solve 1/5*j - h - 1/5*j**3 + 1/5*j**2 = 0 for j. -1, 1 Let f = -110/29 - -2866/725. Let j(h) be the first derivative of 4/15*h**3 - 3 - f*h**5 + 1/5*h**2 + 0*h + 0*h**4 - 1/15*h**6. Factor j(l). -2*l*(l - 1)*(l + 1)**3/5 Let o = 9958 + -9958. What is p in 0 + 2/15*p**4 + 2/15*p**2 - 4/15*p**3 + o*p = 0? 0, 1 Let s = 848 + -5934/7. Factor -10/7*m + s + 18/7*m**2 - 2*m**3 + 4/7*m**4. 2*(m - 1)**3*(2*m - 1)/7 Factor -17/3*z + 7/3*z**2 + 2. (z - 2)*(7*z - 3)/3 Let o(t) = -t**3 - 2*t**2 + 3*t + 5. Let g be o(-5). Solve 0*p**2 + 60*p + 5*p**2 - g*p = 0 for p. 0, 1 Let q = 1889/180 + -94/9. Let j(l) be the third derivative of 0*l + 0*l**3 + q*l**5 - 1/70*l**7 + 1/4*l**4 - 1/20*l**6 + 0 - 4*l**2. Factor j(b). -3*b*(b - 1)*(b + 1)*(b + 2) Determine q, given that -5*q**3 - 141*q - 142*q**2 + 0*q**3 + 127*q - 7*q**3 - 8*q**3 = 0. -7, -1/10, 0 Let k(a) = 3*a**2 - 20*a + 29. Let t(p) = -11*p - 50. Let x be t(-7). Let u(m) = 39*m**2 - 261*m + 378. Let f(l) = x*k(l) - 2*u(l). Solve
{ "pile_set_name": "DM Mathematics" }
o*h(c) + w*y(c). c + 2 Let t(h) = h**3 - 3*h**2. Let g(f) be the first derivative of 0*f**2 + 0*f - 4/3*f**3 + 1/4*f**4 + 2. Give 3*g(q) - 4*t(q). -q**3 Let y(h) = -5*h - 1. Let r(m) = 3*m + 3*m + 3*m + 1. Let g = 11 - 6. Give g*y(w) + 3*r(w). 2*w - 2 Let k(s) = 7*s + 4. Let j(m) = -15*m - 9. Let t(r) = 2*j(r) + 5*k(r). Let y(g) = 6*g + 3. Give 4*t(b) - 3*y(b). 2*b - 1 Let c(j) = 109*j + 3 - 6 - 3*j**2 - 4 - 102*j. Let m(t) = -3*t**2 + 6*t - 6. Calculate 6*c(b) - 7*m(b). 3*b**2 Let g(o) = -11*o + 5. Let f(k) = k + 1. What is 5*f(n) - g(n)? 16*n Let n(d) = -15 - 6 - 8*d - 14 + 42. Let g(l) = 4*l - 3. Determine 7*g(w) + 3*n(w). 4*w Let f(x) = 3*x + 6. Let i(t) = 3*t + 12. Let s(y) = -16*y - 61. Let m(r) = 11*i(r) + 2*s(r). Let u be m(-7). Let l(o) = -2*o - 5. Determine u*f(n) + 4*l(n). n - 2 Let p(c) = -3*c - 4. Let g be p(-5). Let o = 8 - g. Let t(n) = -2*n + 2. Let h(w) = -5*w + 5. Calculate o*h(d) + 8*t(d). -d + 1 Let m(c) = -c + 8. Let p(x) be the third derivative of -x**3/6 + 9*x**2. Calculate m(y) + 6*p(y). -y + 2 Let y(l) = -9*l**2 - 5*l + 3. Let g(f) be the third derivative of -f**5/15 - f**4/12 + f**3/6 + 48*f**2. What is -7*g(v) + 3*y(v)? v**2 - v + 2 Let u be (5/(-3))/((-1)/3). Let w(f) = 4*f**2 + 5*f - 5. Let y = -58 - -59. Let k(x) = -x**2 - x + 1. What is u*k(i) + y*w(i)? -i**2 Let v(l) = -5*l + 1. Let f(m) = -13*m - 22*m + 34*m. Suppose 0*p - 1 = 3*r - 2*p, 3*p + 8 = -5*r. Calculate r*v(s) + 6*f(s). -s - 1 Suppose -3*o - 5 = -8*o. Let j(h) = -6*h**3 + 5*h**2 - 5. Let i(n) = n + 11. Let l be i(-7). Let t(q) = q**3 - q**2 + 1. Calculate l*t(g) + o*j(g). -2*g**3 + g**2 - 1 Let c(p) = 2*p - 83. Let j(y) = 4*y - 167. Determine 9*c(n) - 4*j(n). 2*n - 79 Let y(x) = 19*x**3 + 13*x**2 - 11*x + 2. Let d(w) = -9*w**3 - 6*w**2 + 5*w - 1. Determine -13*d(q) - 6*y(q). 3*q**3 + q + 1 Let i(x) = -29*x**3 + 14*x - 2. Let y(n) = -10*n**3 + 5*n - 1. Give -3*i(m) + 8*y(m). 7*m**3 - 2*m - 2 Let y(s) = -2*s**3 - s**2 + 4*s. Let o(w) = w**3 + w**2 - 3*w. Determine -4*o(r) - 3*y(r). 2*r**3 - r**2 Let q(t) = -85*t**3 + 3*t**2 - 3. Let b(x) = 170*x**3 - 5*x**2 + 5. Calculate 3*b(n) + 5*q(n). 85*n**3 Let o(i) = 10*i**2 - 6*i - 11. Let l(x) = 2*x**2 - x - 2. Calculate -11*l(r) + 2*o(r). -2*r**2 - r Let o(s) = 4*s**3 - s**2 + 3*s. Let q(p) = p**3 + p. Give -o(u) + 5*q(u). u**3 + u**2 + 2*u Let w(k) = -k**2 + k. Suppose -5*f + 2*o = 3*o, -o = 2*f - 3. Let x(v) = v**2 - 1. Let l = -8 - -12. Suppose -7*c + 11*c = l. Determine c*w(h) + f*x(h). -2*h**2 + h + 1 Let n(f) = -9*f**2 + 65 - 65 - 5*f + f. Let s(m) = -5*m**2 - 2*m. What is 6*n(v) - 11*s(v)? v**2 - 2*v Let s(l) = -5*l**2 - 7*l - 8. Let q be (1 + -3)*39/(-6). Let n(c) = 11*c**2 + 15*c + 17. Determine q*s(v) + 6*n(v). v**2 - v - 2 Let o(w) = -4*w - 3. Suppose -12*t - 12 = -8*t. Let p(f) = -5*f - 4. Determine t*p(q) + 4*o(q). -q Let k(m) = -43*m**2 - 17. Let z(d) = -7*d**2 - 3. Determine -6*k(t) + 34*z(t). 20*t**2 Let d(r) = -5*r - 7. Let t(n) = -n**3 + 4*n**2 + 2*n - 2. Let z be t(3). Let p(v) = -11*v - 15. Give z*d(f) - 6*p(f). f - 1 Let i(t) = -t**3 + t**2 - 5*t + 5. Let p(x) = -x**3 - x + 1. What is i(v) - 5*p(v)? 4*v**3 + v**2 Let j(x) be the third derivative of x**4/12 - 46*x**2. Let r(a) = 1. Give j(w) - r(w). 2*w - 1 Let k(s) = s + 3. Suppose 4*u + v - 5 = -22, 8 = -3*u + 4*v. Let l(i) be the second derivative of -i**3/6 - i**2 + i. What is u*k(w) - 5*l(w)? w - 2 Let z(f) = -2*f**3 - f**2 - f + 3. Let p(v) = 2*v**3 + v**2 + v - 4. Give -3*p(d) - 4*z(d). 2*d**3 + d**2 + d Let c(w) = -5*w. Let u(v) = -v + 6 - 3 - 3. Determine c(p) - 6*u(p). p Let h(n) = -10*n - 4. Let v(y) = 1. Give -h(k) - 4*v(k). 10*k Let c(w) = 5*w**2 + 47*w + 9. Let b(q) = 2*q**2 + 23*q + 4. Determine -7*b(a) + 3*c(a). a**2 - 20*a - 1 Let w(v) = -65*v + 2. Let n(i) = 32*i - 1. Determine -5*n(o) - 2*w(o). -30*o + 1 Let f(a) = -3*a**3 - 7*a**2 - 6*a + 6. Let g(x) = 3*x**3 + 6*x**2 + 5*x - 5. Give -5*f(k) - 6*g(k). -3*k**3 - k**2 Let v(t) = -8*t**2 + 7*t. Let w(f) = -17*f**2 + 15*f. Let b = -4 - -10. Suppose -4*l = -b*l + 12. What is l*w(o) - 13*v(o)? 2*o**2 - o Let m(k) = 5*k**3 - 6*k**2 - 7*k. Let i(z) = 3*z - 6. Let f = -6 - -11. Let x = 9 - f. Let v be i(x). Let c(a) = -a**3 + a**2 + a. What is v*c(l) + m(l)? -l**3 - l Let y(u) be the second derivative of -7*u**5/20 + u**4/2 - 3*u**2 + 7*u. Let h(k) = -6*k**3 + 5*k**2 - 5. Calculate -6*h(f) + 5*y(f). f**3 Let d(f) = -2*f. Let t(b) be the third derivative of b**4/24 + 2*b**2. Give -3*d(n) - 5*t(n). n Suppose -2*s + 10 = -0*s, 5*s - 21 = 2*p. Let q(o) = -48*o. Suppose -3*v - 11*h + 14*h = 93, 97 = -3*v + h. Let l(y) = -3*y. What is p*q(x) + v*l(x)? 3*x Let l be (0/2)/(6/6). Let v(i) = l*i - 3*i**2 + 9 - 5*i + 0*i**2. Let f(t) = 2*t**2 + 3*t - 5. Calculate 5*f(g) + 3*v(g). g**2 + 2 Let l(y) = -1. Let a be 7/4 + 2/8. Let c(i) = -5*i + 2*i + 0*i - 2 + a*i. What is -2*c(z) + 5*l(z)? 2*z - 1 Let d(r) be the third derivative of 3*r**5/20 + r**4/8 + 5*r**3/6 - 5*r**2. Let a(q) = -5*q**2 - 2*q - 3. What is 7*a(g) + 4*d(g)? g**2 - 2*g - 1 Let d(j) = 8*j. Let r(w) = w. Let b(k) = 6*k + 4. Let p be b(-3). Give p*r(q) + 2*d(q). 2*q Let k(q) be the first derivative of 0*q + 7/2*q**2 + 4 - 7/3*q**3 - 1/4*q**4. Let m(p) = -p**3 - 5*p**2 + 5*p. Calculate 5*k(r) - 7*m(r). 2*r**3 Let o(s) = s + 3 - s + s - 4. Let y(z) = -z. What is -3*o(w) - y(w)? -2*w + 3 Let h(z) = 8*z + 19. Let p(s) = -s - 1. Calculate h(r) + 6*p(r). 2*r + 13 Let o be (4 + -2)/((-2)/6). Let v(t) = 2*t**2 + 6*t - 6. Let r(z) = z**2 - 11*z + 20. Let l(c) = 3*c - 5. Let b(i) = 9*l(i) + 2*r(i). Give o*b(a) + 5*v(a). -2*a**2 Let u(g) = -13*g**2 + 5*g. Let x be ((-20)/25)/(1/5). Let q(i) = -3*i**2 + i. Give x*u(f) + 18*q(f). -2*f**2 - 2*f Let n(j) be the first derivative of -j**5/120 + j**3 - 5. Let i(c) be the third derivative of n(c). Let p(w) = -2*w**2 + 8*w + 1. Determine 6*i(l) + p(l). -2*l**2 + 2*l + 1 Let k be (-8)/(-3)*(39 - -6). Let p(l) = -120 + k + 3*l. Let r(m) = -m**2 - 13*m. Determine 9*p(c) + 2*r(c). -2*c**2 + c Let j(z) = -3*z**2 - 13*z + 5. Let b(s) = 2*s**2 + 12*s - 5. Let i(o) = 6*b(o) + 5*j(o). Let l(m) = m**2 - m + 1. Give i(d) + 6*l(d). 3*d**2 + d + 1 Let v(m) = -6*m. Let r(p) = -3*p + 1. Let j(t) = -16*t + 5. Let x(a) = -2*j(a) + 11*r(a). Calculate -v(u) + 2*x(u). 4*u + 2 Let f(w) = -w**2. Let p(r) = 6*r**3 - 2*r**2 + r. Let x be p(1). Let o(t) be the third derivative of t**5/20 + t**4/24 - t**3/3 + t**2. Give x*f(s) + o(s). -2*s**2 + s - 2 Let g(z) be the first derivative of z**4/4 + z**3 - z**2 + 2*z + 5. Let b(u) = -u**2 + u - 1. Give -2*b(k) - g(k). -k**3 - k**2 Let x(h) = h + 7. Suppose 4*i = -4*p + 40, 4*p - i = 3*p + 2. Let t(y) = -y - 6. Suppose -5*v + 11 = -24. Determine p*x(m) + v*t(m). -m Let z(i) = -i**2 + i + 1. Let l(m) be the second derivative of -m**4/12 + 2*m**3/3 + m**2 + 36*m. Calculate -l(a) + 3*z(a). -2*a**2 - a + 1 Let h(t) = t**2 + 2*t + 2. Let f(v) be the first derivative of 2*v**3/3 + 3*v**2/2 + 2*v + 2. Suppose 10 = 6*a - a. Determine a*f(r) - 3*h(r). r**2 - 2 Let s(j) = j + 13 + 4*j - 2*j. Let n(x) be the first derivative of 4 - 4*x - 1/2*x**2. What is -7*n(b) - 2*s(b)? b + 2 Let b(p) = -4*p - 23. Let x(r) = -2*r - 11. Give 4*b(u) - 9*x(u). 2*u + 7 Let f(n) = 11*n - 11. Let r = -44 - -51. Let z(y) = -5*y + 5. Calculate r*z(h) + 3*f(h). -2*h + 2 Let y(t) = -7*t + 1. Suppose -2 - 4 = -r. Let s(k) = -7*k - 6. Let m(g) = 13*g + 11. Let h(a) = 6*m(a) + 11*s(a). Determine r*h(j) + y(j). -j + 1 Let i(y) = -9*y**2 + y + 5. Let n(c) = -10*c**2 + c + 6. What is -4*i(j) + 3*n(j)? 6*j**2 - j - 2 Suppose -3*r + 19 = -4*k, 2*r - r = 5*k + 21. Let j(h) = h + 4. Let c(x) = -x - 5. Let a(v) = 4*c(v) + 5*j(v). Let o(f) = -6*f - 1. Determine r*o(s) + 4*a(s). -2*s - 1 Let b(x) = x**2 + 10*x + 8. Let o be b(-9). Let k(i) = i - 2. Let f(l) = -l**3 - l. Let p(c) = 2*c + 3. Let v be p(-2). Determine o*f(g) + v*k(g). g**3 + 2 Let v(k) = k**3 - 3*k**2 - 31*k + 1. Let p(j) = -2*j**3 + 4*j**2 + 32*j - 2. What is 3*p(d) + 4*v(d)? -2*d**3 - 28*d - 2 Let m(t) = 2*t - 5. Let o(r) = -r + 1. Calculate 2*m(b) + 6*o(b). -2*b - 4 Let t(h) = -h + 1. Let b(c) = -1. Let r(w) = 3*w + 2. Let m(v) = -4*b(v) - r(v). Give -m(f) + 2*t(f). f Let q(u) = 4*u - 7. Suppose 14*p = 12*p - 12. Let o(a) = -a + 1. Let d = -4 + 3. Give d*
{ "pile_set_name": "DM Mathematics" }
) = -4*d**2 - 6*d - d**3 + 4*d**2 + 7*d**o - d**2. Give f(4). 8 Suppose 4*s - f = 3*s - 7, -s = -2*f + 10. Let t(b) = 2*b**2 + 2*b + 4. Let u(o) = -3*o**2 - o - 5. Let r(w) = s*t(w) - 3*u(w). What is r(4)? -5 Let a(u) = -u**3 - 4*u**2 - 2*u. Suppose 4*y + 3*s - 5 = 1, 0 = 5*y - 4*s - 23. Let l be (-1*0/3)/(16 + -18). Suppose l = 3*i - 4*i - y. What is a(i)? -3 Let p(w) be the second derivative of -1/2*w**3 + 0 + 0*w**2 + 5*w - 1/60*w**5 + 5/24*w**4. Let z(j) be the second derivative of p(j). Give z(-5). 15 Let u(i) be the second derivative of i**4/12 + 5*i**3/6 - 25*i. Calculate u(-5). 0 Let y be -2*(3 - 28/8). Let v(o) = 3 + y + 2*o + 0*o**2 - 1 + o**3 - 4*o**2. Let j(p) = p**2 + 3*p - 1. Let m be j(-4). Give v(m). 0 Let p(v) = -7*v**2 + 4*v - 3. Let i(w) = -15*w**2 + 8*w - 6. Let y(g) = -6*i(g) + 13*p(g). Suppose 0 = -8*j + 7 + 25. Suppose 6 = -j*l + 26. Calculate y(l). -8 Let u(j) = -120*j**2 + 119*j**2 + 5 + 2*j - 14 + 9*j. Determine u(9). 9 Let p(l) = l**2 + 10*l - 4. Let w be (-35)/(35/7) - 2. What is p(w)? -13 Let x be 2/(-1) - 5*-1. Suppose -p - 1 = -x. Let g(r) be the first derivative of r**2/2 + 2*r + 1016. Determine g(p). 4 Suppose -2*i = 8 - 0, h - i - 8 = 0. Let a(f) = -4*f - 4*f + 6*f + h - 5. Calculate a(3). -7 Let z(s) be the first derivative of s**3/3 + 5*s**2/2 + s + 11. Calculate z(-2). -5 Let c(h) = h**3 + 4*h**2 + h + 2. Let v be c(-4). Let g(i) = 1 + 2 + 1 - 3 + i. Let f(l) = 3*l + 4. Let y(m) = -2*f(m) + 7*g(m). Determine y(v). -3 Let n(g) = -3*g - 12 - 6 + 34 - 9. Calculate n(6). -11 Let g be (-6)/(-40)*(-195)/(-351). Let t(h) be the second derivative of 1/3*h**3 - g*h**4 - 3/2*h**2 + 4*h + 0. Determine t(2). -3 Suppose -18*z + 18 = -21*z. Let d(l) = l**3 + 5*l**2 - 6*l - 1. What is d(z)? -1 Suppose 3 - 5 = -u + y, 0 = -u + 5*y + 18. Let t(k) = -4*k**2 - 4*k - 2. Give t(u). -10 Let l(k) = k + 1. Let w(f) = -f**2 - 7*f + 10. Let z be w(-7). Suppose -45 = z*o - 15*o. What is l(o)? 10 Let z(l) = -l**3 - 8*l**2 + 9*l - 8. Let t be z(-9). Let n(b) = 8*b + 58. Let k be n(t). Let o(w) = w**2 + 6*w. Calculate o(k). 0 Let a(p) = -p**3 - 9*p**2 + 8*p - 20. Let c be 252/(-15) + 7 - 1/5. What is a(c)? 0 Let y(u) = u**3 + u**2 - 8. Let t(b) = -b + 21. Let z(v) = 2*v - 3. Let h be z(12). Let j be t(h). Give y(j). -8 Let s(b) = -9*b**2 + b**3 - 2*b**3 + 75*b - 3*b**3 - 85*b - 2 + 3*b**3. Calculate s(-8). 14 Let r(b) be the third derivative of 0*b**3 + 0*b - 1/120*b**5 - 1/72*b**6 - 1/24*b**4 + 0 + 3*b**2. Let h(x) be the second derivative of r(x). Calculate h(-1). 9 Let c be -6 + 476/77 - (-26)/(-22). Let u(v) = -23*v + 5. Let o(z) = 24*z - 6. Let t(x) = 4*o(x) + 5*u(x). What is t(c)? 20 Let l(m) be the second derivative of m**3/6 - 2*m**2 - 10*m. Let p(v) = 3*v - 11. Let r(y) = 11*l(y) - 4*p(y). Determine r(-6). 6 Let k(c) = -c**3 + 26*c**2 + 10*c - 266. Let u be k(26). Let i(h) = -10*h - 57. Give i(u). 3 Suppose 22*q + 8 = -3*i + 20*q, 3*i = -3*q - 9. Let y(l) = -9*l + 3. Calculate y(i). 21 Let j(k) = -2*k**2 - 2*k + 6. Let t(y) = -2*y**2 + 30*y + 104. Let w be t(18). Give j(w). -18 Suppose 0 = -t - 4*t + 15. Let y(q) = 0*q**2 - t*q**3 - q**2 - q**2 + 1. Let d be (-12)/(-36)*(-2 + 5). Give y(d). -4 Let k = -299 - -304. Let m(s) = -3*s**2 + 4*s**2 - 5 + 1 - 5*s. Let w be m(k). Let o(c) = c**3 + 5*c**2 + c - 5. Calculate o(w). 7 Let t(f) = -36 - 2*f + 23 - 2*f**3 - 10*f**2 + f**3. Give t(-10). 7 Let w(n) = 8*n**2 + 5. Suppose -19 = -5*o - 9. Let r(p) = -1. Let a(q) = 1. Let g(f) = o*a(f) + r(f). Let t(u) = 6*g(u) - w(u). Determine t(-1). -7 Let x(y) = -171*y - 10 - 173*y + 523*y - 178*y. What is x(4)? -6 Let j(v) = 4 + 6*v + 0*v**3 + 2*v**2 + 5*v**2 + v**3. Let b(s) = -4*s + 16 - s**3 - s + 7*s - 11*s**2. Let z be b(-11). Calculate j(z). 4 Let h(n) be the first derivative of -n**7/840 + n**6/60 + n**5/15 - n**4/4 + 28*n**3/3 - 37. Let p(d) be the third derivative of h(d). Determine p(7). 1 Let r(w) be the third derivative of w**4/6 - 3*w**3/2 + 85*w**2. Give r(3). 3 Let m(q) = -17*q**2 - 4*q + 12. Let r(s) = 38*s**2 + 7*s - 26. Let h(o) = 9*m(o) + 4*r(o). Give h(-8). 4 Let y = -88 + 97. Suppose -y*l - 31 - 50 = 0. Let p(q) = q**3 + 9*q**2 - 6. Determine p(l). -6 Let n(h) = 23*h**2 - 8*h**2 - 16*h**2 + 3*h - 21*h - 15. Calculate n(-17). 2 Let j(h) = -5*h - 3 - 8 + 29 - 4 - 10 + h**2. Give j(5). 4 Let z(j) = -6*j - 4 - 3*j + 5*j. What is z(-3)? 8 Let u = 17691 + -17692. Let y(s) be the second derivative of s**5/10 - s**3/6 + s. Give y(u). -1 Let f(c) be the third derivative of 1/60*c**5 + 0*c + 1/6*c**3 + c**2 - 1/12*c**4 + 0. Suppose 0 = -l + 2 - 1. Calculate f(l). 0 Let k(w) = 2*w**3 - w. Let f(r) = -2*r**2 + 2*r + 8. Let z be f(-2). Let g(x) = -9*x**3 - 5*x**2 + 5*x. Let b(y) = z*k(y) - g(y). Calculate b(-5). 5 Let v(j) be the first derivative of j - 15. Let g(b) = 10*b - 4. Let q(l) = -l + 1. Let p(h) = g(h) - q(h). Let n(r) = p(r) + 6*v(r). Give n(-1). -10 Let m(b) = 1. Let s(k) = -k + 4. Let f(c) = -4*m(c) + 2*s(c). Let q be f(0). Let t(n) be the second derivative of -n**3/2 + 2*n**2 - 5*n. What is t(q)? -8 Suppose -2 + 6 = 2*m. Let x(z) = z - 1. Let u(k) = 12*k - 9. Let p(t) = m*u(t) - 22*x(t). Calculate p(-3). -2 Let c(s) be the second derivative of -s**7/840 + s**6/120 - s**5/120 - s**4/12 + 2*s**3/3 + 9*s. Let u(h) be the second derivative of c(h). Calculate u(2). 0 Let c(q) = q - 7. Let a(x) = -x**2 + 5*x. Let f be a(6). Let v be (-11)/f + (-4)/(-24). Suppose 7*k - v*k = 25. What is c(k)? -2 Let x(n) = -2*n**2 + n - 1. Let w be ((-2)/6)/(156/(-36) - -4). What is x(w)? -2 Let m(o) = o**3 - 16*o**2 + 15*o + 3. Let g be m(15). Let w(s) = -5 + 0 - 1 - g*s. Calculate w(-4). 6 Let j(d) = -5*d**2 - 13*d + 15. Let x(h) = -2*h**2 - 6*h + 7. Let y(i) = 3*j(i) - 7*x(i). Calculate y(5). -14 Let f(m) = 7*m + 0 - 4*m + 4 + 1 - m**2. Calculate f(4). 1 Let d(r) = 23*r - 1 - 16*r - 2 - 9*r. Give d(-3). 3 Let o(i) be the second derivative of 1/2*i**2 - 1/2*i**3 - 3*i - 2. Calculate o(1). -2 Suppose 4*r = 5*v - 135, r + 6*v + 38 = 3*v. Let o = r - -41. Let q(c) = c - 2. Calculate q(o). 4 Let a be -2 + 1 - 1/1. Let n(j) be the first derivative of 1/4*j**4 + j + j**3 - 2 + 0*j**2. Determine n(a). 5 Let n(d) be the second derivative of -d**4/6 + 5*d**3/6 + 3*d**2/2 - 426*d. What is n(5)? -22 Let p(o) = o - 3. Let m be p(5). Let s(g) be the first derivative of 2*g**3/3 - g**2/2 - 47. Calculate s(m). 6 Let b(p) = -p**3 - 16*p**2 - 16*p - 9. Let k(g) = -g**3 - 9*g**2 - 5*g + 9. Let x be k(-8). What is b(x)? 6 Let l(i) = -13*i - 405. Let o be l(-31). Let k(d) = -2*d**3 - d**2 + 5*d + 5. Calculate k(o). 7 Let x(d) = d + 3. Let f(n) = 5*n - 8. Let a be f(5). Let g = a - 11. Determine x(g). 9 Let j = 22 - 16. Let a(q) = -8*q - 86. Let y be a(-12). Suppose 4*h - j = y. Let d(o) = o**2 - 4*o - 5. Determine d(h). -5 Let c be (-300)/(-125)*(-10)/(-4). Let t(g) = -7 - 3*g**2 - g - 2*g**2 - 4*g + g**3. Calculate t(c). -1 Let s(d) be the second derivative of -7*d**3/3 + d**2/2 + 3*d - 2. Calculate s(1). -13 Let y(z) be the first derivative of -z**3/3 - 3*z**2 + z + 171. Calculate y(-4). 9 Let s(p) be the second derivative of 0 + 1/6*p**3 + 0*p**2 + 4*p. Determine s(-7). -7 Suppose 2*v + 0*v = 4. Let o be 5 + (0 - 2)/v. Let x(s) = -39*s + s**3 - 1311*s**2 + 1306*s**2 + 41*s + 5. Determine x(o). -3 Suppose -2*g - 2 = -12. Let j(t) = t**2 - 4*t - 1. Give j(g). 4 Let p(d) be the third derivative of -d**6/120 - 7*d**5/60 + 3*d**4/8 + 11*d**3/6 - 21*d**2. Suppose -69 = -4*k - 101. Calculate p(k). 3 Let a(i) = -3*i**2 - 7*i - 12. Let y(v) = 11*v**2 + 22*v + 37. Let n(f) = -7*a(f) - 2*y(f). Let u(c) = -c**2 - 6*c + 7. Let o be u(-6). Determine n(o). -4 Let k(g) = 5*g - 3. Let z(y) = 14*y - 8. Let a(s) = 8*k(s) - 3*z(s). Let f = 77 - 75. What is a(f)? -4 Let c(h) = -h**2 + 5*h + 6. Let a = -3 + 21. Let b be 122/a + 9/((-567)/(-14)). Determine c(b). -8 Let r(l) be the second derivative of l**5/20 + l**4/4 - l**3/6 - 2*l**2 - 118*l + 2. What is r(-3)? -1 Let f = 2 + 8. Let p(m) = -f*m**2 - 9*m + 4 - 9 + 2*m**2 + 0*m**2 - m**3. Determine p(-7). 9 Let j(c) = -3*c - 5*c + 0 + 2 + 5*c. Give j(5). -13 Let j(u) = -u**2 - 18*u - 25. Let w(v) = -3*v - 110. Let n be w(-31). Determine j(n). -8 Let v(f) = 2*f - 19. Let t(n) = n**2 + 27*n + 8. Let b be t(-27). Calculate v(b). -3
{ "pile_set_name": "DM Mathematics" }
) - 2*h**2 + 7*h**5 + 2*h**2 + 2*h**2 - 2*h**5 - 2*h**2. 15*h**5 Expand (-u + 4 - 4)*(-3 + 0 + 1) - 11*u + 0 + 13*u - 2 + (-4 + 1 + 1)*(-2*u - 2 + 2). 8*u - 2 Expand -2*g**5 + g**3 - g**3 + 2*g**3 + g**5 - 2*g**3 + (-2*g + 7*g - 3*g)*(-1 + 1 - 2*g**4) + (288*g**2 - 288*g**2 + g**4)*(-1 + 1 - g). -6*g**5 Expand (3 - 1 + 3)*(2 + 1 - 4)*(-5*z + 3*z - 2 - z). 15*z + 10 Expand -3*q + 3*q - 5*q + 0*q + q + 0*q + (-3*q + 2*q + 0*q)*(-2 + 1 + 3) + 2*q + 2*q - 5*q. -7*q Expand -o + o**3 + o + (2 - o**2 - 2)*(0 + 0 + 2*o) + (-o - 4 + 4)*(o - o - o**2) - 1 + 1 + 2*o**3. 2*o**3 Expand (3*c + 3*c - 4*c)*(-c**2 - 2*c + 2*c - c). -2*c**3 - 2*c**2 Expand (66 - 131 + 68 - 23*i)*(-1 + 0 + 0). 23*i - 3 Expand (-1 + 2 + 1)*(m**3 + m**4 + m**3 + 1 - m**3). 2*m**4 + 2*m**3 + 2 Expand (-y + 0*y + 3*y)*(-2 + 2 + 1) - 2 + 2 + 2*y + 0*y + 3*y - 2*y. 5*y Expand (1 - z**3 + 16*z + 1 - 13*z)*(0 + 0 + 1)*(-3 + 2 + 2). -z**3 + 3*z + 2 Expand (4*c - 10 + 9 + 0*c)*(2 - 2*c - 2). -8*c**2 + 2*c Expand (12 + 8 + 7)*(-4 + 3 + 2*g - 3*g). -27*g - 27 Expand (5 - 2 - 2)*(9 - 11 + 15)*(-1 + 1 + 2*o). 26*o Expand (3*c**3 - 2*c**3 - 3*c**3)*(6 - 2 - 2) + (0 + 2 + 0)*(2*c**3 + 5 - 5) - c**3 + 2*c**3 - 4*c**3 + 2*c**3 - 5 + 5. -c**3 Expand (-u**2 + u - u)*(15*u - 6 + 6). -15*u**3 Expand (-1 - 1 + 4)*(b**5 - b**5 + b**5) + (5*b - 4*b + 4*b)*(b**4 - 2*b**4 - b**4). -8*b**5 Expand -4*s**2 + 2*s**2 + 4*s**2 + 2*s**2 - 2*s**2 + 2*s**2 + (s - 6*s + 4*s)*(-1 + 1 - 2*s) + (0*s**2 + s**2 - 2*s**2)*(0 + 1 - 2). 7*s**2 Expand (v**2 + 0*v + v + 3*v)*(0*v**2 + v**2 + 0*v**2). v**4 + 4*v**3 Expand (14 - 14 + 9*a)*(-3*a + 2*a + 3*a) - 2*a**2 - 3*a**2 + 7*a**2 - 2*a**2 + 2*a**2 + 2*a**2. 22*a**2 Expand (-5*b + 2 + 13*b + 12*b)*(-1 + 0 - 1). -40*b - 4 Expand (-3*c + 15*c - 4*c)*(2*c**4 - 2*c**4 - 2*c**4) + 0*c**2 + 0*c**2 - c**5. -17*c**5 Expand (-3*g**2 + 4*g**2 + 2*g**2)*(5*g - g - 2*g)*(-41 - 10 + 15)*(-1 - 3 + 2). 432*g**3 Expand (11 - l**4 - 5*l**4 + 2*l**4)*(0 - 4 + 3). 4*l**4 - 11 Expand (2*j + 9 - 9)*(0 + 4 - 1 - 4 + 2 + 0 + 1 - 2 + 0 + (0 + 4 - 2)*(1 + 1 - 4) + 3 + 0 - 1). -4*j Expand (-10 + 5 - 8)*(-d**4 + 0*d**4 - 5*d**4). 78*d**4 Expand -4*f + 4*f - 3*f**3 + (-f - 3*f + 0*f)*(3*f**2 + f**2 - 6*f**2) + 5*f**3 - 4*f**3 - 2*f**3. 4*f**3 Expand (-4*b**2 + b**2 + b**2)*(28 - 28 - 16*b**3 + (0*b - 2*b**2 + 0*b)*(-b + 0*b + 0*b)). 28*b**5 Expand (-60*h - 14*h + 9*h)*(3*h - 3*h - 2*h). 130*h**2 Expand (0*y**3 + 0*y**3 - y**4)*(2 - 3 + 4 - 2*y)*(7 - 2 - 2). 6*y**5 - 9*y**4 Expand (0*l**2 - 4*l**2 + 3*l**2)*(-30 + 4 - 12)*(0*l + 3*l - 2*l). 38*l**3 Expand (-2*j**3 + 5*j**3 - 2*j**3)*(-10*j - 4*j**2 + 10*j) + 4*j**5 + 4*j**5 - 5*j**5 + (4*j**3 + 0*j**3 - 6*j**3)*(j**2 + 1 - 1) - 2*j**5 + 2*j - 2*j. -5*j**5 Expand (3 - 3 + 1)*(0 - 4 - 3)*(l - 3*l + 4*l). -14*l Expand (-3 + 3 - 2*s)*(0*s + 0*s + 2*s**2) + (0*s + 0*s - 2*s)*(s**2 - 4*s**2 + 2*s**2). -2*s**3 Expand -5*f + 2*f + 4*f - f + f + 2*f - 3*f - f + 2*f + (5*f - 6*f + 2*f)*(1 - 4 + 5) - 4*f + f + 5*f - f + f - f - 6*f + 3*f + 2*f - 26*f + 65*f - 26*f. 16*f Expand (0*b - 13*b - 2*b)*(-3*b - 4*b + 5*b). 30*b**2 Expand (3*v**2 + 4*v**2 - 5*v**2)*(-1 + 1 + 5)*(2*v**2 - 3*v + 3*v). 20*v**4 Expand (r**2 - 2*r**2 + 2*r**2)*(-4*r + r + 2*r) + 2*r**2 + 6*r**3 - 2*r**3 + 5*r - r**3. 2*r**3 + 2*r**2 + 5*r Expand (0*w - 2*w - 2*w)*(0*w - 7*w + 3*w) - w**2 - 2 + 2. 15*w**2 Expand -j + 1 - 1 + (-10 + 4 - 5)*(2*j + 0 + 0). -23*j Expand (-2*y - 2*y + y)*(6 - 2 - 2). -6*y Expand (4 - 1 - 1 + (-2 - 1 + 4)*(-2 + 2 - 1) - 5 + 1 + 0)*(0*q**4 + 2*q**4 - 3*q**4). 3*q**4 Expand (3 - 2 + 1)*(0*j**2 - 7*j**2 - 2*j**2) + (6*j - 2*j - 3*j)*(3*j + 0*j - 4*j). -19*j**2 Expand (43*h - 38*h + 26*h)*(0 + 0 + 1). 31*h Expand (-m - m + m)*(30*m**3 - 3*m**3 - 2*m**3)*(-3*m - 3*m + 4*m). 50*m**5 Expand (6 - 6 + 4*z**3)*(-1 + 2*z + 1). 8*z**4 Expand (-x + 2 + 0 + 0*x)*(10*x + 2 - 2). -10*x**2 + 20*x Expand -11*t + 3*t**2 + 10*t + 0*t**2 + 2 - t**2 - 2 + (2*t - 1 + 1)*(5 - 2*t - 5) + 5*t**2 - 3*t**2 - t**2. -t**2 - t Expand (-9*p - 3*p + 3*p)*(2*p - p - 2*p)*(-2*p**3 + 2*p**3 - 2*p**3). -18*p**5 Expand (-2*h + h**3 + 2*h)*(-3*h + 0*h + h)*(3*h - 6*h + h). 4*h**5 Expand (-m + 0*m + 2*m)*(0 - 1 + 2)*(-47 + 26 - 52). -73*m Expand -5*s + 5*s + 2*s**2 + (0 + 2 - 5)*(15*s**2 - 18*s**2 - 18*s**2). 65*s**2 Expand (q - 2*q**2 - q)*(q - q + 2*q**2) + (-4*q + q - 2*q)*(-2*q**3 - 2*q + 2*q). 6*q**4 Expand (-4*r**4 + 0*r**4 + 3*r**4)*(-983 + 983 + 11*r + 6*r). -17*r**5 Expand (2*b**2 - 4*b**2 - 3*b**2)*(-6 + 6 + 8*b). -40*b**3 Expand (i + 6*i - 3*i)*(-17*i**2 - i + 6*i**2 + 3*i). -44*i**3 + 8*i**2 Expand (-8 - 536*m**2 + 1070*m**2 - 540*m**2)*(-m**2 - m**2 + m**2). 6*m**4 + 8*m**2 Expand l**4 + 2*l**4 + 0*l**4 + (3*l**3 - 7*l**3 - l**3)*(-l - 1 + l - 2*l). 13*l**4 + 5*l**3 Expand -3 + 3 + 2*v - 3 + 3 - 3*v + (1 - 3 + 3)*(2*v - 2*v - 2*v) - 6*v + 6*v - 3*v. -6*v Expand -z**4 - 2*z**4 + 0*z**4 + (4 - 4 - 2*z)*(5*z**3 - 4*z**3 + z**3). -7*z**4 Expand -6*a**3 + 2*a**3 + 2 + 0*a**3 + 8*a**3 - 5*a**3 + a**3 + (a**2 - 4*a**2 + 4*a**2)*(a - 4*a + 4*a) + 1 - 1 + 2*a**3. 3*a**3 + 2 Expand g**2 + g**3 - g**2 + (g**2 - g**2 + 2*g**2)*(1 + 2*g - 1) + g**3 + g**3 - 4*g**3. 3*g**3 Expand (4 + 1 - 3)*(-2 + 3 - 4)*(-4*q + 3*q + 3*q). -12*q Expand (1 - 1 - t)*(-3 - 6 + 59). -50*t Expand (0 + i + 0)*(-4 + 4 + 1)*(2 - 2 + i). i**2 Expand (-5 + 5 - 3*p**3)*(-1 + p + 4 - 2). -3*p**4 - 3*p**3 Expand (-2*k - k + 2*k + k - 2*k + 0*k + (2*k + 0 + 0)*(-3 + 2 + 2) + 3 - 3 - 2*k - 5*k + 5*k + k)*(-2*k**2 - k**2 + 4*k**2) + 8*k**3 + 2*k**3 - 4*k**3. 5*k**3 Expand 0*b - 3*b + b + 3*b - 5*b + 3*b + (-1 + 2 - 3)*(b + 4 - 4) - 4*b - 2*b + 5*b + 0*b + 3*b - 5*b + 3*b - b - b + 0*b - 2*b + 4*b. -3*b Expand (3*l + 2*l - 4*l)*(4*l**2 - 2*l**2 + 3*l**2) + 0*l + 2*l**3 + l + 0*l. 7*l**3 + l Expand (-1 + 0 - 1)*((-3 + 0 + 1)*(0 - 2 + 4) + 5 - 2 - 2 + 2 + 7 - 2)*(4*u - 3*u + u). -16*u Expand -3*g**2 + 3*g**2 + g**2 - 3 + g**2 + 3 + (-g + 1 - 1)*(-2*g - g + 2*g) + 4 - 9 + 3 + 5*g**2. 8*g**2 - 2 Expand (5 - 4 - 2)*(18*i - 23*i + 14*i) + 4*i - 5*i + 3*i. -7*i Expand (3*p + 8*p + 4*p)*(-2*p + 2*p + p**3) + 4*p**4 + 2*p**4 - 2*p**4. 19*p**4 Expand (-4 + 1 + 2)*(0*m + 3*m - 2*m + 2). -m - 2 Expand (3*g - 8*g + 4*g)*(-3 + 4 + 3). -4*g Expand (0 - 1 + 3)*(1 - 1 + 5)*(-2*v + 4*v - 3*v). -10*v Expand (-1 - 1 + 4)*(0 + 0 + 2*p) + 1 - p - 1 - p - p + 0*p + (3 + 0 - 2)*(5 + 3*p - 5). 4*p Expand (-3*l**3 + l**3 + l**3)*(-2*l**2 + 1 - 1) - 16*l + 3*l**4 + 16*l + 3*l**5. 5*l**5 + 3*l**4 Expand (2*d + d - d)*(-3 + 3 + 2*d) + (18 - 7*d - 18)*(-d + 4*d - d). -10*d**2 Expand -3*w**4 - 15*w**4 - 10*w**4 - 2*w**3 + 2*w**3 + 2*w**4 + (-2*w**2 - 2*w**2 + 3*w**2)*(-2*w**2 + w**2 + 2*w**2) + 0*w**4 + 2*w**4 + 0*w**4. -25*w**4 Expand (m + 0*m + 0*m)*(-1 - 5 + 7). m Expand (3*d**2 - 2*d**2 + d**2)*(-d**2 + 0*d + 0*d + (d + 2 - 2)*(2*d - 2 + 2) + 3*d**2 + 4*d**2 - d**2). 14*d**4 Expand 7*v**2 - 4*v**2 - v**2 - 3 + 3 + 2*v**2 + (-2*v + v + 2*v)*(v - 2*v + 2*v) - 71*v + 71*v + 9*v**2 + (4*v - 4*v + v**2)*(7 - 2 - 3). 16*v**2 Expand (-2*d - d + 0*d)*(2 - 3 - 3). 12*d Expand ((-2*h**2 + 4*h**2 + 0*h**2)*(-2*h + h + 0*h) + (3*h**2 - h**2 - 4*h**2)*(0 + 17*h + 0))*(-h**2 - h + h). 36*h**5 Expand (1 - 1 - d**4)*(7 - 8*d - 7) + d**3 - d**3 - d**5 - 2*d**5 - 3*d**5 + 7*d**5. 9*d**5 Expand (-7*k**4 + 9*k**4 + 4*k**4)*(-2 + 1 + 2)*(-k + 0*k + 3*k). 12*k**5 Expand (2*n + 0*n - n)*(2 + 0 - 3) + 0*n - n - n - 2*n - 1 + 1 + 2*n + 1 + 4*n + 6*n. 7*n + 1 Expand (1 + 2*a - 1)*(-1 - 2 + 4 + (-3 + 3 - 3)*(-6 + 1 - 2)). 44*a Expand (o**4 + 0*o + 0*o)*(-3*o + 3*o + 6*o - 1). 6*o**5 - o**4 Expand (-u**2 + u**2 + u**2)*(12*u - 45 + 45). 12*u**3 Expand 3*a - 31 + 16 + 38 + (0 - 1 + 0)*(3 - 3 + a). 2*a + 23 Expand (-4*v**2 + 3*v**2 + 3*v**2 + (-1 - 2 + 4)*(v**2 + 2 - 2) - 4*v**2 + 4*v**2 + 2*v**2)*(-v**2 + v**3 + v**2). 5*v**5 Expand -2*d**2 - 4*d**2 + 0*d**2 + (6*d - 4*d - d)*(0 - d + 0) - 13*d**2 + 2 - 2. -20*d**2 Expand (2*g - 3 + 3)*(0 - 4 + 2) + 2*g - g + g + 47*g - 25*g - 6 - 23*g. -3*g - 6 Expand (10 - 2 - 2)*(-5*z + 2*z + 5*z)*(2 - 2*z**2 - 2). -24*z**3 Expand 1 + 2*g - 1 + 3*g + 0*g - 4*g + 5 + 2*g - 5 + (2 - 6 + 2)*(-4*g - 2*g + 4*g) + 4*g - 2*g + 0*g - 2*g + 4*g - 3*g + (1 - 1 - 1)*(3*g - 6*g + g). 10*g Expand (-4*h + 2*h + 3*h)*(4 - 3 + 0) + (16 - 6 - 7)*(2*h - 2 + 2). 7*h Expan
{ "pile_set_name": "DM Mathematics" }
-4*k(s) + p(s). -2*s**2 + s + 150 Let k(v) = 2*v**3 - 2*v**2 + 10*v. Let p(r) be the third derivative of r**6/30 - r**5/12 + 5*r**4/6 - 445*r**2. What is -5*k(o) + 2*p(o)? -2*o**3 - 10*o Suppose -x = 1, f - 11*x = -15*x - 2. Let v(r) = -r**3 - r + 1. Let s(l) = l - 1. Determine f*v(a) + 2*s(a). -2*a**3 Let x(f) = f + 2. Let u be 200/(-700)*-2*7/2. Let n(j) = 6*j + 11. Determine u*n(g) - 11*x(g). g Let a(s) be the third derivative of 18*s**2 - 5/6*s**3 + 0*s + 0*s**4 + 0 + 0*s**5 + 1/30*s**6. Let c(y) = 4*y**3 - 4. What is 4*a(k) - 5*c(k)? -4*k**3 Let l(d) = -d + 2. Let j(h) = -41*h + 6. Calculate j(o) - 2*l(o). -39*o + 2 Let r(j) = -3*j**3 + 3*j**2 - 17. Let o(d) be the second derivative of -d**5/20 + d**4/12 - 3*d**2 + 51*d. Calculate 11*o(z) - 4*r(z). z**3 - z**2 + 2 Let v(s) = 2*s**3 + 12*s**2 + 13*s - 2. Let r(d) = 2*d**3 + 10*d**2 + 14*d - 2. Determine 6*r(q) - 5*v(q). 2*q**3 + 19*q - 2 Let t(h) = h + 3. Let p(r) = -1. Suppose -c - y = 7, 4*c + 49 = 5*y + 66. Calculate c*t(w) - 5*p(w). -2*w - 1 Let z(t) = -t - 11. Let c(f) be the third derivative of -f**3 + 0*f - 1/24*f**4 + 0 + 16*f**2. Determine 5*c(h) - 3*z(h). -2*h + 3 Let q = -153 - -154. Let i(c) = c**2 + 1. Let z(s) = s**2 - 1. Let b(u) = -7*u**2 + 8. Let d(t) = -b(t) - 6*z(t). What is q*d(m) + 2*i(m)? 3*m**2 Let m(b) = 8*b**2 + 7*b. Suppose -3*i - 5*t + 95 = 0, t - 4 = -3. Let p(n) = -n - 30 + i - n**2. Give 3*m(s) + 21*p(s). 3*s**2 Suppose 0 = y - 12 - 16. Let m(u) = u + 28. Let z(g) = -1. Let n(p) = -8. Let h(k) = 6*n(k) - 52*z(k). Give y*h(i) - 4*m(i). -4*i Let v(i) = i**3 - i**2 + 5*i + 7. Let j(x) = -3*x + x - 3 + 0. Suppose -22 = -4*b + 2. Suppose 4*o - b - 2 = 0. Give o*v(k) + 5*j(k). 2*k**3 - 2*k**2 - 1 Let w(l) be the second derivative of l**3/3 - 5*l**2 + 44*l. Let z(v) = -1. What is w(t) - 4*z(t)? 2*t - 6 Let h(i) = i**3 + 19*i**2 - 41*i + 27. Let d be h(-21). Let n = -27 + 26. Let q(o) = -o**2 + 6*o - 5. Let y(l) = l - 1. Calculate d*y(j) + n*q(j). j**2 - 1 Let d(c) = -9*c - 9. Let q(i) = -i**3 + 19*i**2 + 7*i - 136. Let n be q(19). Let s(x) = -5*x - 5. Determine n*d(b) + 5*s(b). 2*b + 2 Let w(x) = x - 32. Let v(l) = l - 33. Calculate -5*v(n) + 6*w(n). n - 27 Let x(p) = 5*p**3 + 27*p - 6. Let q(i) = -i**3 + 1. What is 6*q(s) + x(s)? -s**3 + 27*s Let d(g) = -77*g + 14. Let q(x) = 153*x - 32. Determine -7*d(u) - 3*q(u). 80*u - 2 Let k = 30 + -27. Let s(q) = 2 - 7*q**3 - 2*q - q**3 + 4*q**3 + 6*q**k. Let x(c) = c - 1. Calculate s(p) + 2*x(p). 2*p**3 Let o(n) = -2*n + 2. Let p(z) = 2. Let h(b) = -2*b - 34. Let u(l) = 2*h(l) + 36*p(l). Suppose 18*i - 665 = -77*i. Give i*o(c) - 3*u(c). -2*c + 2 Let k(h) = 11*h + 7. Let b(j) = -5*j - 3. Let p(g) = -13*g + 53. Let o be p(3). What is o*b(a) + 6*k(a)? -4*a Let v(r) = -9*r**2 + 12*r - 15. Let m(x) = x**2 - 2*x - 1. Give 6*m(i) + v(i). -3*i**2 - 21 Let l(d) = 21*d**2 + 13. Let n = 403 - 409. Let f(w) = w**2 + w + 1. Let v(j) = -j**2 + 4*j + 1. Let k(m) = 4*f(m) - v(m). What is n*l(q) + 26*k(q)? 4*q**2 Let q(w) = -226*w**2 + w. Let f(x) = 2253*x**2 - 9*x. Determine 2*f(g) + 21*q(g). -240*g**2 + 3*g Let p(o) = 11*o - 2. Let g(l) = -3*l + 43. Let t be g(14). Let s(d) = 0 - 662*d + 667*d - t. Calculate -4*p(b) + 9*s(b). b - 1 Let k(c) = c**3 + 2*c**2 + 1. Let l(i) = -i**3 - 3*i**2. Give 4*k(o) + 3*l(o). o**3 - o**2 + 4 Let v(o) be the second derivative of -5*o**4/6 - 8*o**3/3 - 7*o**2/2 - o. Let h be (-18)/(-3) + 9 + -17. Let y(g) = 3*g**2 + 5*g + 2. Determine h*v(r) - 7*y(r). -r**2 - 3*r Let a(g) = 3*g - g - g - 2*g. Let b be -13 + -3 + 1 + 3. Let r = -6 - b. Let t(x) = -5*x + 1. Give r*a(q) - t(q). -q - 1 Let a(q) = q**3 + q - 1. Let z(r) = -12*r**3 + 17*r**2 + 2*r - 2. Determine 2*a(v) - z(v). 14*v**3 - 17*v**2 Let t = 3 + -5. Let i(p) = -p**2 + 2*p - 2. Let q(s) be the first derivative of -2*s**3/3 + 5*s**2/2 - 5*s + 54. Give t*q(f) + 5*i(f). -f**2 Let m(p) = -3*p - 4*p - p - 1 + 2. Let x(f) = 8*f - 1. Give -5*m(u) - 4*x(u). 8*u - 1 Let h(c) = c**2 + 65*c + 7. Let r(m) = -m**2 - 33*m - 4. Give -4*h(w) - 7*r(w). 3*w**2 - 29*w Let g(b) = 5*b**2 + 340*b + 4. Let d(k) = 14*k**2 + 1024*k + 11. Determine 4*d(m) - 11*g(m). m**2 + 356*m Let o(a) = 9*a**2 + 2*a + 10. Let c(y) = -y**2 - 1. What is 22*c(m) + 2*o(m)? -4*m**2 + 4*m - 2 Let v be -4*(7/28 - (-6)/24). Let y(c) = -c**2 + 5*c. Let t(q) = -4*q - 6. Let h(f) = f + 1. Let l(n) = 6*h(n) + t(n). Determine v*y(k) + 5*l(k). 2*k**2 Let m(y) = -y**2 + y - 1. Let o(w) = 13*w**3 + 11*w**2 + 5*w + 11. Let l(v) = 2*m(v) + o(v). Let x(r) = -7*r**3 - 4*r**2 - 3*r - 4. Determine -4*l(f) - 9*x(f). 11*f**3 - f Let z(i) = 73*i**2 - 3*i + 11. Let x(h) = -25*h**2 + h - 4. Determine 17*x(d) + 6*z(d). 13*d**2 - d - 2 Let k(q) = -4 + 25*q**2 + 28*q**2 - 6*q**3 - 49*q**2. Let c(l) be the first derivative of 3*l**4/2 - l**3 + 3*l + 1. Give -4*c(x) - 3*k(x). -6*x**3 Let y(z) = -2*z**3 + z**2 + z - 2. Let t(w) = -26*w**3 - 4*w**2 - w + 8. Give -t(r) - 4*y(r). 34*r**3 - 3*r Let y(a) = -369*a**2 + 3*a - 3. Let k(l) = l - 1. Calculate -3*k(i) + y(i). -369*i**2 Let m(r) = -2*r**3 - 3*r**2 - 1. Let k = 3 - -1. Let u(x) = 1 - 2*x**3 + 2*x**3 + 2*x**2 + 2*x**3. Let d = 2497 + -2494. Determine d*m(y) + k*u(y). 2*y**3 - y**2 + 1 Let x(j) = 4*j**2 + 10*j - 3. Suppose -30 + 2 = -4*y. Suppose -19 + 7 = -3*g. Let f(s) = -g*s + s**2 - s + 2*s - 2*s**2 + 1. Calculate y*f(c) + 2*x(c). c**2 - c + 1 Let d(h) = 8*h**2 - 2*h + 48. Let i(y) = -y**2 - 6. Give d(u) + 12*i(u). -4*u**2 - 2*u - 24 Let z(o) = -o**2 - 1. Suppose -26 + 123 = 97*q. Let g(u) = -9*u**2 - u + 5. Give q*g(v) + 5*z(v). -14*v**2 - v Let v(u) = u**2 + 6*u + 2. Let k(a) = 2*a**2 + 11*a + 4. Let d = -508 + 504. What is d*k(j) + 7*v(j)? -j**2 - 2*j - 2 Let n(z) = 7*z + 269. Let f(x) = 9*x + 270. Give 4*f(b) - 5*n(b). b - 265 Let p(t) = -3*t**3 - 3*t**2 + 8*t. Let o(l) = 5*l**3 + 5*l**2 - 12*l. Calculate 5*o(s) + 8*p(s). s**3 + s**2 + 4*s Let u(y) = y**3 - 4*y**2 + y - 1. Let d(m) = m**3 - 7*m**2 + m - 2. Calculate 3*d(n) - 5*u(n). -2*n**3 - n**2 - 2*n - 1 Let s(o) = 28*o**3 + 43*o - 8. Let c(f) = -10*f**3 - 14*f + 3. What is -8*c(k) - 3*s(k)? -4*k**3 - 17*k Let j(r) = -5*r**2 + 4*r. Let z(g) = g - 2*g + 0*g**2 + g**2. Suppose 0 = 3*w - 15, 0 = 2*k + 5*w - 6 - 3. Let c = -11 - k. Determine c*z(x) - j(x). 2*x**2 - x Let r(k) = -37*k**3 + 7*k. Let d(m) = m. Calculate -5*d(q) + r(q). -37*q**3 + 2*q Let n(i) = 1. Let y(p) = 16*p + 16. Let t(d) = 2*d + 4. Let w(s) = -3*t(s) + y(s). Determine -2*n(k) + w(k). 10*k + 2 Let o(d) = d**2. Let c(h) be the first derivative of -3*h**3 - h**2 - 197. Determine c(b) + 4*o(b). -5*b**2 - 2*b Let d(t) = -7*t + 15. Suppose 2*i + i = 18. Suppose 0 = 3*x + 10 - 13. Let k(s) = -x - 1 + 2*s - 2. Give i*d(n) + 22*k(n). 2*n + 2 Let m(c) = -5*c + 5. Let h(w) = 1. Let v be 42/(-7) + -6 - -6. Give v*h(k) + m(k). -5*k - 1 Let u(k) = 5 + 1 - 2 - k**3 + k**2 - 2*k - 3. Let g be u(1). Let o(c) = 4*c + 7. Let x(m) = -m - 1. Give g*o(b) - 6*x(b). 2*b - 1 Let s(c) = -2*c**3 + 3*c**2 - 3*c. Let x(w) = -w**2 - 2*w + 7. Let r be x(-3). Let a(m) = -m**3 + 3*m**2 - 3*m. What is r*a(q) - 3*s(q)? 2*q**3 + 3*q**2 - 3*q Suppose 85 - 37 = 8*p. Let k(s) = 9*s**3 + 5*s**2 - s - 5. Let r(d) = 9*d**3 + 6*d**2 - d - 6. Give p*k(l) - 5*r(l). 9*l**3 - l Let s(m) = -m + 1. Let u(t) be the second derivative of t**3/6 - t**2/2 + 32*t. Give -5*s(f) - 6*u(f). -f + 1 Let w(u) = 4*u**3 + 5*u**2 - 13*u + 124. Let f(g) = g**3 + g**2 - 2*g + 1. What is -6*f(s) + w(s)? -2*s**3 - s**2 - s + 118 Let h(s) = -1776*s**3 - 224*s**2 - 112*s + 336. Let q(m) = -48*m**3 - 6*m**2 - 3*m + 9. Determine -6*h(i) + 224*q(i). -96*i**3 Let l(m) = 6*m + 7. Let y(w) = -5*w - 6. Suppose o - 43 = -65. Let i = o + 17. Calculate i*y(g) - 4*l(g). g + 2 Let l(y) be the second derivative of y**2/2 + 100*y - 2. Let m(r) = -2*r + 7. Calculate -5*l(g) + m(g). -2*g + 2 Let p(a) be the third derivative of 0 - 7/6*a**3 + 0*a - 27*a**2 + 5/12*a**4. Let h(u) = -29*u + 20. Calculate -6*h(g) - 17*p(g). 4*g - 1 Let n(o) = 2*o**2 - 3. Suppose -4*m + 20 = -2*m. Let y = -5 + m. Let t(l) = -7 + 4*l**2 - 25*l - 16*l + 40*l. Calculate y*n(i) - 2*t(i). 2*i**2 + 2*i - 1 Let r(q) = 2*q + 12 - 8 + 2*q + 0. Let i(m) = 4*m - 11 - 6*m - 4*m - 5*m. Calculate -3*i(l) - 8*r(l). l + 1 Let r(c) = -7*c**3 - 11*c**2 - 3*c - 6. Let
{ "pile_set_name": "DM Mathematics" }
Find the third derivative of -74*m**5 + 878*m**4 - 9*m**3 - 10234*m**2 - 4210*m wrt m. -4440*m**2 + 21072*m - 54 Find the third derivative of h**4 - 60351089*h**3 + 169*h**2 + 43201*h wrt h. 24*h - 362106534 What is the third derivative of 43512914*v**3 - 71744347*v**2? 261077484 What is the second derivative of -346062169*u**5 - 1818*u - 32522? -6921243380*u**3 Find the third derivative of 2877778*f**5 - 46941*f**2 + 284*f wrt f. 172666680*f**2 What is the derivative of 81*d**2*m**2 - 1621*d**2 - d*j - 9*j*m**2 + 2*j*m - 27*j + 2*m - 43 wrt d? 162*d*m**2 - 3242*d - j Find the third derivative of -2604*l**5 + 994*l**3 + 17286731*l**2. -156240*l**2 + 5964 What is the third derivative of 230449307*x**3 - 167203352*x**2 - 2*x? 1382695842 What is the second derivative of 2*k*q**4 - 379042*k*q**2 + 4*k*q - q - 276609 wrt q? 24*k*q**2 - 758084*k What is the second derivative of 43448716*p**2*w**2 + 253121*p**2 + 41*p*w wrt w? 86897432*p**2 What is the second derivative of 347*k**2*r*s**3 - 3387*k**2*r*s + 2*k*r*s**2 - 1619289*k*s**3 - r*s**3 wrt k? 694*r*s**3 - 6774*r*s Find the second derivative of -448713321*p**2*q**3 + 2*p*q**3 + 16328*p*q**2 - 8*p*q + 2*q**3 - 11 wrt p. -897426642*q**3 What is the second derivative of -2151*v**4 + 256*v**2 + 2928947*v wrt v? -25812*v**2 + 512 What is the third derivative of 5464620*j**3 - j**2 - 165*j - 2095? 32787720 Find the third derivative of -7649824*g**4 - 2*g**2 + 2185581*g - 2. -183595776*g Find the first derivative of -o**3*z + 3532791*o**3 - o**2*z - 14891*o*z + 39*z wrt z. -o**3 - o**2 - 14891*o + 39 Differentiate -389725138*t - 37290694. -389725138 What is the first derivative of 36931*d**3 - 2*d**2 + 414*d + 11604307? 110793*d**2 - 4*d + 414 What is the third derivative of -19035*d**3*z**2 + 2808*d**3*z - 6*d**2*z**2 - 2*d**2*z + 4460*d*z**2 + 26*d*z - d - 80*z**2 wrt d? -114210*z**2 + 16848*z Find the second derivative of -7228850*a**2*l**3*v - 776735*a*l**3 - 4*l**2*v wrt a. -14457700*l**3*v Find the first derivative of 48597021*b - 19550490. 48597021 Find the second derivative of 3410587*g*w**3 - 2*g*w**2 + 3*g*w - 4*g + 2*w**2 + 14764 wrt w. 20463522*g*w - 4*g + 4 Find the second derivative of 22*c**2*y**2 - 92866*c**2*y - 9225166*c*y**2 + c*y + 655*c - 2*y wrt y. 44*c**2 - 18450332*c Find the second derivative of 1035771080*x**2 - 553067772*x wrt x. 2071542160 Find the second derivative of 4085187*c**3*m + 5*c**2*m - 4*c**2 + 7296*c - 12230*m wrt c. 24511122*c*m + 10*m - 8 What is the third derivative of 59123561*v**5 + 290214776*v**2? 3547413660*v**2 Differentiate 6*u*y**2 - 112114*u*y + 202853130*u + 2*y**2 + 43*y with respect to y. 12*u*y - 112114*u + 4*y + 43 Find the second derivative of -39853738*c**4 + 8*c - 431947. -478244856*c**2 Differentiate -38368460*d + 15329504 with respect to d. -38368460 Find the third derivative of -12921775*f*u**3 + f*u**2 - 5*f*u + 2*u**2 - 10*u - 1547 wrt u. -77530650*f What is the derivative of 319442503*o**2 - 1030033024? 638885006*o What is the third derivative of -z**4 + 224323*z**3 + 476*z**2 - 7404*z wrt z? -24*z + 1345938 Differentiate 120683652*p**2 + 48687056 with respect to p. 241367304*p What is the first derivative of 5*b**2*d**2 - b*d**2 - 518361*b*d - 20428605*d**2 wrt b? 10*b*d**2 - d**2 - 518361*d What is the third derivative of -3805331*m**3 - 12842169*m**2 wrt m? -22831986 What is the derivative of -31*f**3 - 75*f**2 - 565*f + 21573903 wrt f? -93*f**2 - 150*f - 565 Find the first derivative of -17858*l**3 - l**2 + 901*l + 15545061. -53574*l**2 - 2*l + 901 What is the first derivative of -6*z**4 - 376*z**2 - 876*z - 289133066? -24*z**3 - 752*z - 876 Find the second derivative of 13980630*j**3 - 3619965*j. 83883780*j Find the second derivative of -8965*r**3*s**4 - 2*r**3*s + 468610*r**3 - r**2 + 29*s**4 wrt s. -107580*r**3*s**2 + 348*s**2 Find the first derivative of -377670690*z - 413622141 wrt z. -377670690 What is the third derivative of -2607628*b**6*f + 2*b**3*f**3 - 45757*b**2*f - 71*b*f**3 + f wrt b? -312915360*b**3*f + 12*f**3 What is the third derivative of 61324*n**3*w + 255*n**3 + 5037*n**2*w - n*w + w + 1990 wrt n? 367944*w + 1530 Find the second derivative of 44*d**3*l**2 - 11608*d**3 - 300*d*l + d - 6*l**2 + 5*l - 3 wrt d. 264*d*l**2 - 69648*d What is the third derivative of -365388*t**4 - 8*t**3 - t**2 + 584*t + 137? -8769312*t - 48 What is the third derivative of 58701716*m**3 - 598722*m**2 + 152*m? 352210296 Find the third derivative of -2*t**4 - 316741243*t**3 + t**2 - 34461154*t - 3 wrt t. -48*t - 1900447458 What is the second derivative of 15444541*j**3 - 153867798*j? 92667246*j Find the third derivative of -769861*r**5 - 18*r**4 + 5*r**3 - 29*r**2 + 6296*r - 69 wrt r. -46191660*r**2 - 432*r + 30 What is the second derivative of 9277778*i**5 - 30*i + 8431 wrt i? 185555560*i**3 Find the second derivative of 211723854*h**3 + 77877*h + 1489 wrt h. 1270343124*h What is the second derivative of -1568158*p**2*t**2*v - 3*p**2*t*v - 2*p**2*t + 15*p**2*v**3 + 2*p*t**3*v**3 + 799*t*v**3 - t*v**2 + 2*t wrt t? -3136316*p**2*v + 12*p*t*v**3 What is the first derivative of 5045*b*o**2 - 105*b*o + 647*b + 7*o**2 + 286961 wrt o? 10090*b*o - 105*b + 14*o Differentiate 1806*x**2 + 929*x + 22334184 wrt x. 3612*x + 929 Find the third derivative of -275*m**5 + 14*m**4 - 1497*m**3 - 2*m**2 - 178371839 wrt m. -16500*m**2 + 336*m - 8982 What is the second derivative of 865024*v**5 + 173*v**4 - 3161223*v wrt v? 17300480*v**3 + 2076*v**2 What is the derivative of 785*d**4 + 10963*d**2*j - 13*j + 1048881 wrt d? 3140*d**3 + 21926*d*j Find the third derivative of -5*v**5 + v**4 + 388540*v**3 + 274625*v**2 - 156*v. -300*v**2 + 24*v + 2331240 Find the second derivative of -11*j**3*y**2 - 72*j**3*y - j**3 + 172458*j*y**2 + 2*j*y + 6*y**2 - 3*y + 2954 wrt y. -22*j**3 + 344916*j + 12 What is the second derivative of -5411649*v**3 - 6*v**2 - 555222653*v? -32469894*v - 12 Differentiate 772319*c**2 + 89*c + 57212284. 1544638*c + 89 Find the third derivative of -38*h**6 - 36*h**5 - 390*h**3 - 365403*h**2 - 22*h. -4560*h**3 - 2160*h**2 - 2340 What is the derivative of -144728404*c*n - 798*n + 60363 wrt c? -144728404*n What is the derivative of -6289*x**3 - 117*x**2 - 2*x - 4876663? -18867*x**2 - 234*x - 2 Find the first derivative of 133104991*y - 36359693. 133104991 What is the first derivative of -80247292*j**2 - 16334407? -160494584*j Differentiate 3703447*s*w - 5345704*w - 2 with respect to s. 3703447*w Find the third derivative of -3119698*j*w**5 - 2*j*w - 149*j + 14*w**6 - 545*w**2 wrt w. -187181880*j*w**2 + 1680*w**3 What is the third derivative of -1877730*u**4 - 9*u**3 + 3*u**2 - 1040*u - 10724? -45065520*u - 54 Find the first derivative of 306*g**3*q*x - 2*g**3*q - g**3 + 3*g**2*q + 89*g - 174*q*x**2 - x**2 - 18 wrt x. 306*g**3*q - 348*q*x - 2*x What is the second derivative of -35682103*c**2*h**3 - c**2*h**2 + 2*c**2*h + 2*c**2 + 5*h - 43219 wrt h? -214092618*c**2*h - 2*c**2 Differentiate 8057330*l*r**2 - 9455519*r**2 wrt l. 8057330*r**2 What is the second derivative of 1322*f*t**5 + 15921570*f*t - 2415*t**5 wrt t? 26440*f*t**3 - 48300*t**3 Find the third derivative of -119*w**4 + 42620*w**3 - 10416383*w**2. -2856*w + 255720 What is the third derivative of 1096155115*m**3 - 2637*m**2 - 15*m + 4868 wrt m? 6576930690 Find the second derivative of 839471*o**4*w**2 - 74*o*w - 2*w**2 + 747*w wrt o. 10073652*o**2*w**2 What is the second derivative of -21*m**4 + 3925410*m**2 + 53345006*m? -252*m**2 + 7850820 What is the second derivative of 6349*y**4 - 131*y**2 - 260*y + 241 wrt y? 76188*y**2 - 262 Differentiate 6*k**4 + 66*k**3 - 18*k**2 - 16*k + 3686928 with respect to k. 24*k**3 + 198*k**2 - 36*k - 16 What is the third derivative of 368234*m**4 - 162*m**3 + 5274*m**2 - 15*m + 196? 8837616*m - 972 Differentiate 4*n**2*p - n**2 - 91479*n*p - 150798*p + 5 with respect to n. 8*n*p - 2*n - 91479*p What is the third derivative of 6*n**5 - 268966*n**4 + 2*n**3 - 21255111*n**2 wrt n? 360*n**2 - 6455184*n + 12 Find the first derivative of -245638*i**2 + 8*i + 6233743. -491276*i + 8 Find the third derivative of 19342*m**5 - 3*m**4 - 118*m**3 - 103881965*m**2 - m. 1160520*m**2 - 72*m - 708 Find the second derivative of -51*d**3*m - 48313*d**3 - 2*d*m - d + 168
{ "pile_set_name": "DM Mathematics" }
82 + 80. -12*f Collect the terms in 8*f + 2*f + 38833*f**2 - 38830*f**2. 3*f**2 + 10*f Collect the terms in -21172*u + 42348*u - 170*u**2 - 21176*u. -170*u**2 Collect the terms in 6 - 6 - 993*v - 1. -993*v - 1 Collect the terms in -185*t - 21*t**2 - t**3 + 96*t - 28*t**2 + 89*t. -t**3 - 49*t**2 Collect the terms in 247943 + 303*y - 858*y - 247943. -555*y Collect the terms in -4618*n**2 + 2666 - 2666. -4618*n**2 Collect the terms in -155 + h - 146 - 141 + 435. h - 7 Collect the terms in -87*v**2 - 78*v**2 + 309*v**2 - 73*v**2. 71*v**2 Collect the terms in -273*a + 0 + 0 + 97*a - 313*a. -489*a Collect the terms in -12*d**2 + 991092*d - 991092*d. -12*d**2 Collect the terms in 467925*q**3 - 233947*q**3 - 233959*q**3 - 3*q**2. 19*q**3 - 3*q**2 Collect the terms in 0*v - 180*v**2 + 480*v**2 + 3*v - 82 - 2*v. 300*v**2 + v - 82 Collect the terms in -2650*f**3 + 5564*f**3 - 2916*f**3. -2*f**3 Collect the terms in -4 - 2*d + 29 - 25. -2*d Collect the terms in -3*d + 54*d**2 - 112*d**2 + 58*d**2 + 6*d**3. 6*d**3 - 3*d Collect the terms in -82*v + 2018*v**3 + 82*v. 2018*v**3 Collect the terms in -55*a**3 - 291*a**3 + 58*a**3. -288*a**3 Collect the terms in 42*r**3 - 3334 - 16*r**3 - 11*r**3 + 3334 - 13*r**3. 2*r**3 Collect the terms in 1449*d**2 - 1449*d**2 + 243*d**3. 243*d**3 Collect the terms in 157 - f - 110 + 352 + 111. -f + 510 Collect the terms in -3248*p**3 - 269 + 269. -3248*p**3 Collect the terms in -27401*w - 3*w**3 + 22*w**2 + 27401*w. -3*w**3 + 22*w**2 Collect the terms in -357310 + 6*u**3 - u**3 + 357310. 5*u**3 Collect the terms in -8*c**2 - 6*c**2 - 3*c**2 - 436*c**3 + 222*c**3 + 216*c**3. 2*c**3 - 17*c**2 Collect the terms in 1845 + o - 12*o**2 - 1845 - o. -12*o**2 Collect the terms in -3 + 38*b + 4 + 74*b - 14*b. 98*b + 1 Collect the terms in 2739*s**2 - 5567*s**2 + 2829*s**2. s**2 Collect the terms in -9*r**2 + 7*r**2 - 1379*r + 1391*r. -2*r**2 + 12*r Collect the terms in -2*l - 362*l**3 + 2*l - 6363*l**3. -6725*l**3 Collect the terms in 192*c + 197*c - 970*c + 198*c + 193*c + 192*c. 2*c Collect the terms in -1 + 105*s + 2 - 1 - 123*s. -18*s Collect the terms in 5 + 6 + 11720*u - 11719*u. u + 11 Collect the terms in -3242*a + 7*a**2 + 1653*a + 1589*a. 7*a**2 Collect the terms in 9*k**2 - 1185*k + 563*k + 622*k. 9*k**2 Collect the terms in -56*o - 44*o - 8*o + 3*o. -105*o Collect the terms in 5755257*g**3 - 2877632*g**3 - 2877629*g**3. -4*g**3 Collect the terms in -46*z**2 - 8*z - 45*z**2 + 88*z**2 - 3*z. -3*z**2 - 11*z Collect the terms in -5 - 12767*j**3 + 12768*j**3 + 5. j**3 Collect the terms in -2 + 2 - 92*z**2 - 187*z**2 - 102*z**2. -381*z**2 Collect the terms in -12898*i**3 - 12891*i**3 + 25794*i**3. 5*i**3 Collect the terms in -1614*x**2 - 1486*x**2 + 4717*x**2 - 1614*x**2. 3*x**2 Collect the terms in -5*l**2 + l**2 + 892*l + 5*l**2 - 892*l. l**2 Collect the terms in -105 + 0*a**2 - 20*a**2 + 110. -20*a**2 + 5 Collect the terms in 1679*f + 1620*f - 4920*f + 1619*f. -2*f Collect the terms in 0*u**2 + u**2 + 2*u**3 - 726 - 17*u**3. -15*u**3 + u**2 - 726 Collect the terms in -408*q - 411*q + 1268*q - 449*q - 2*q**3. -2*q**3 Collect the terms in 5208*k + 5280*k + 5275*k - 15764*k. -k Collect the terms in -39*y**3 + 8*y**3 - 161*y**2 + 252*y**2 - 91*y**2. -31*y**3 Collect the terms in -5799*v - 1410*v + 921*v. -6288*v Collect the terms in -2331484 + 4662968 + 5*s - 2331484. 5*s Collect the terms in 121*u**2 - 4303*u**2 - 275*u**2. -4457*u**2 Collect the terms in -114243 - c**3 + 114243. -c**3 Collect the terms in 3640*h**3 - 847*h**3 + 838*h**3. 3631*h**3 Collect the terms in 586*d**3 - 372*d**3 + 1272*d**3 + 970*d**3. 2456*d**3 Collect the terms in -22*l**2 + 2033 - 2033. -22*l**2 Collect the terms in 137*m - 67*m + 22*m**2 - 70*m + 9*m**2. 31*m**2 Collect the terms in 3*q - 3*q - 2*q + 4*q + 147. 2*q + 147 Collect the terms in -55 - 25 + 4*a - 5*a + 34. -a - 46 Collect the terms in 756*g + 4*g**2 + 5*g**2 - 756*g - 11*g**2. -2*g**2 Collect the terms in -129*p + 1232*p - 1107*p. -4*p Collect the terms in 2877*v**2 - 11*v**3 - 71*v**3 - 2858*v**2. -82*v**3 + 19*v**2 Collect the terms in 353*m**3 - 268*m**3 - 207*m**3. -122*m**3 Collect the terms in -251*m + 322*m**2 + 251*m. 322*m**2 Collect the terms in 58*l**3 - 49550670 + 49550670. 58*l**3 Collect the terms in -x**3 - 1176*x + 3499*x - 1141*x - 1182*x. -x**3 Collect the terms in -q + 1441*q**3 + 512*q**3 + 0*q. 1953*q**3 - q Collect the terms in -9*s**2 + 182*s**2 - 278 + 141 + 137. 173*s**2 Collect the terms in 105*c - 105*c - 863*c**2 - 656*c**2. -1519*c**2 Collect the terms in -83040656*q**2 - 1 + 1 + 83040662*q**2. 6*q**2 Collect the terms in 2*u - 3*u + 346 + 0*u. -u + 346 Collect the terms in -b**2 - 4*b**2 + 2*b**2 - 31212*b**3. -31212*b**3 - 3*b**2 Collect the terms in -1045*g + 340*g + 350*g + 357*g. 2*g Collect the terms in -22*o + 37869*o**3 - 37878*o**3 + 22*o. -9*o**3 Collect the terms in 135196 + 80*v**3 - 135196. 80*v**3 Collect the terms in 106 - 31*o**2 + 42 + 32*o**2. o**2 + 148 Collect the terms in 5*u**3 - u**3 - 7*u**3 - 14*u**3 + 0 + 2. -17*u**3 + 2 Collect the terms in 56 + 1240034*l**2 - 1240034*l**2 - 56 - 4*l**3. -4*l**3 Collect the terms in 238*y + 6320 - 12646 + 6324. 238*y - 2 Collect the terms in -16*l**2 + 55*l**2 - 21*l**2 - 19*l**2. -l**2 Collect the terms in -69*b + 447 - 79*b + 147*b. -b + 447 Collect the terms in 131*y + 142*y - 34*y + 16*y. 255*y Collect the terms in 6*a**2 - 10*a**2 - 47*a**3 - a**2 + 4*a**2. -47*a**3 - a**2 Collect the terms in -8 - 9 + 23 - 70*d. -70*d + 6 Collect the terms in 553*k + 550*k - 1673*k + 554*k. -16*k Collect the terms in 169 - 101*i + 176 - 345 + 37*i. -64*i Collect the terms in -k**2 + 265*k**3 - k**2 - 553*k**3 - 1923*k**3. -2211*k**3 - 2*k**2 Collect the terms in -207*s**3 - 12693*s**3 - 983*s**3. -13883*s**3 Collect the terms in -13098 - 541876316*d**3 + 541876315*d**3 + 13098. -d**3 Collect the terms in -3 - 14*j - 11*j - 21*j + 49*j - 9*j. -6*j - 3 Collect the terms in -w**3 - 3*w**3 + 5*w**3 + 0*w**3 + 610. w**3 + 610 Collect the terms in 12*v**3 + 22*v - 40*v**3 - 13*v**3 - 22*v. -41*v**3 Collect the terms in -905494*o + 1810993*o - 905497*o. 2*o Collect the terms in 4*z + 2*z + 3*z + 13. 9*z + 13 Collect the terms in -1913*u**2 + 1871*u**2 + 29*u**2. -13*u**2 Collect the terms in 10*h + 1 + 53*h + 25*h + 1. 88*h + 2 Collect the terms in 67*a - 139*a + 75*a + 17*a**2. 17*a**2 + 3*a Collect the terms in 72168*u**2 - 144356*u**2 + 72189*u**2. u**2 Collect the terms in -1352 + 2720 - 30*x - 1368. -30*x Collect the terms in 32*d**3 - 29*d**3 - 105 - 31. 3*d**3 - 136 Collect the terms in -446232 + 38*q + 446232. 38*q Collect the terms in -7*a**2 + 1136*a + 2 - 1136*a - 2. -7*a**2 Collect the terms in -1 - 5 + 1 + 7*j + 3*j - 2*j. 8*j - 5 Collect the terms in 2*q**2 + 4*q**2 + 4*q**2 - 4*q**2 - 19*q**2 + q**2. -12*q**2 Collect the terms in -6*k**2 - 5 - 42 - 12 + 64. -6*k**2 + 5 Collect the terms in 181*c**2 - 15*c**2 - 49*c**2 - 61*c**2 - 55*c**2. c**2 Collect the terms in 7*p + 7*p + p + 2*p - 11*p. 6*p Collect the terms in 416*y**3 + 4 - 186*y**3 - 4. 230*y**3 Collect the terms in 66748*v - 34*v**3 - 66748*v. -34*v**3 Collect the terms in 64 - 28*k**3 - 38 - 13 - 13. -28*k**3 Collect the terms in 54*d**2 - 237*d**2 + 64*d**2 + 65*d**2 + 67*d**2. 13*d**2 Collect the terms in -2270298*i + 2270298*i - 52*i**3. -52*i**3 Collect the terms in 16 + 38*n - 21*n - 13 - 19*n. -2*n + 3 Collect the terms in 655*a**3 - 49 + 49 + 18*a**2 - 656*a**3. -a**3 + 18*a**2 Collect the terms in -2*q + 2*q - 416 + 1348 - 2*q**2 - 932. -2*q**2 Collect the terms in -114*v**3 + 145*v**3 - 1456*v**3. -1425*v**3 Collect the terms in -1200*n**3 + 4305*n**3 + 1709*n**3. 4814*n**3 Collect the terms in 838 + 0*z - z - z. -2*z + 838 Collect the terms in d**3 + 29693*d + 29697*d - 59390*d. d**3 Collect the terms in 15 + 347*a**2 - 8 - 7. 347*a**2 Collect the terms in 7*t - 12*t + 5*t - 844*t**2. -844*t**2 Collect the terms in -2*l + 14*l**2 - 2*l**2 + 408*l**3 - l. 408*l**3 + 12*l**2 - 3*l Collect the terms in 7953 + 1286 + 2*i + 63. 2*i + 9302 Collect the terms in 5354 + 4276 - 1946 - 3*m - 405. -3*m + 7279 Collect the terms in -2 - 62238*w + 2*w**2 + 62238*w. 2*w**2 - 2 Collect the terms in 112*b - 353*b - 711*b. -952*b Collect the t
{ "pile_set_name": "DM Mathematics" }
(4*(-4)/8)/2. Let d = 3/2 + p. Factor -2*o**2 + 3*o**3 - 2*o**4 + d*o + 1/2*o**5 + 0. o*(o - 1)**4/2 Let m = 20 - 18. Suppose 5*a - 5*j = -10, -3*j - m + 8 = 5*a. Factor a + 4/5*i**3 + 2/5*i**2 + 0*i + 2/5*i**4. 2*i**2*(i + 1)**2/5 Find a, given that 5*a + 10/3 + 5/3*a**2 = 0. -2, -1 Find n, given that -4/17*n + 6/17*n**2 + 0 = 0. 0, 2/3 Solve 0*h + 5/2*h**2 - 45/4*h**3 + 0 + 5*h**4 = 0. 0, 1/4, 2 Let x = 4 + -10. Let u be x/(-4)*32/24. Factor 0 + 1/4*i + 1/4*i**u. i*(i + 1)/4 Let j = 217/65 - 7/13. Determine s so that -j*s**5 + 12/5*s**3 - 11/5*s**4 + 11/5*s**2 + 0 + 2/5*s = 0. -1, -1/2, -2/7, 0, 1 Let i(r) be the first derivative of -r**6/3 - 16*r**5/5 - 25*r**4/2 - 76*r**3/3 - 28*r**2 - 16*r - 14. Factor i(y). -2*(y + 1)**2*(y + 2)**3 Suppose -g - 14 = -4*a + g, -9 = -3*a + g. Let 30*h - 26*h**2 - a*h**4 - 8 + 12*h**3 - 11*h + 5*h = 0. Calculate h. 1, 2 Factor 9 + 3/2*x**2 - 15/2*x. 3*(x - 3)*(x - 2)/2 Let w(b) be the third derivative of -2*b**7/315 + b**5/15 - b**4/9 + 28*b**2. Factor w(q). -4*q*(q - 1)**2*(q + 2)/3 Let u(b) be the third derivative of b**6/360 - b**5/60 + b**4/36 + 55*b**2 + b. Factor u(h). h*(h - 2)*(h - 1)/3 Let s(j) be the second derivative of -j**7/840 + j**6/240 - j**4/4 - 7*j. Let t(u) be the third derivative of s(u). Factor t(w). -3*w*(w - 1) Let r = -129 + 131. Factor 0*x + 0 - 1/2*x**5 - 2*x**r + 3/2*x**4 + 0*x**3. -x**2*(x - 2)**2*(x + 1)/2 Let u(n) be the first derivative of -5*n**4/4 - 8*n**3/3 - n**2/2 + 2*n - 15. Determine k, given that u(k) = 0. -1, 2/5 Let q be (-26)/8 + 20/5. Let -3/4*f + 0 + q*f**3 + 0*f**2 = 0. Calculate f. -1, 0, 1 Let p(t) be the third derivative of -t**8/6720 + t**7/2520 + t**4/6 + 4*t**2. Let j(f) be the second derivative of p(f). Factor j(x). -x**2*(x - 1) Let o = -13 - -10. Let c(s) = -3*s**4 + 15*s**3 - 36*s**2 + 39*s - 12. Let v(x) = -x**3 + x**2 + x. Let d(m) = o*v(m) + c(m). Factor d(u). -3*(u - 2)**2*(u - 1)**2 Let r(a) be the second derivative of -a**7/56 + 3*a**6/20 - 9*a**5/20 + 5*a**4/8 - 3*a**3/8 + 9*a. Factor r(c). -3*c*(c - 3)*(c - 1)**3/4 Let x = -30/11 + 984/385. Let u = 4/35 - x. Determine g so that -8/7 - u*g**2 - 8/7*g = 0. -2 Factor 2/5*a**5 + 4/5*a**4 + 0*a**2 + 0*a + 0 + 2/5*a**3. 2*a**3*(a + 1)**2/5 Suppose 3*z = 3*n + 39, 5*z - 19 = n + 66. Let x = 21 - z. Let 0*u + 4/7*u**2 + 0 + 2/7*u**x = 0. What is u? -2, 0 Let t(l) be the first derivative of -l**6/30 + l**5/10 - l**3/3 + l**2/2 + 2*l + 4. Let s(r) be the first derivative of t(r). Factor s(u). -(u - 1)**3*(u + 1) Let x = -3 + 4. Let u be x/(-4)*(-48)/18. Let 0 - u*j + 4*j**4 + 4*j**2 - 22/3*j**3 = 0. Calculate j. 0, 1/3, 1/2, 1 Find a, given that -2/13*a - 4/13*a**3 - 8/13*a**2 + 6/13*a**5 + 8/13*a**4 + 0 = 0. -1, -1/3, 0, 1 Suppose -3*r - 5 = -2*c - 1, -4*r - 3*c + 6 = 0. Suppose -2*y - 19 + 29 = r. Determine h, given that 0*h + 11/3*h**4 - 8/3*h**3 + 0 - h**y - 4/3*h**2 = 0. -1/3, 0, 2 Let j(n) be the third derivative of 8*n**6/3 - 4*n**5 + 5*n**4/2 - 5*n**3/6 + 5*n**2. Factor j(t). 5*(4*t - 1)**3 Suppose 0 = -5*o + 9 + 6. Suppose 0*n = -2*n. Factor -9/4*x**4 - 7/4*x**2 + 15/4*x**o + n + 1/4*x. -x*(x - 1)*(3*x - 1)**2/4 Let h be -26*(-2)/(-60) - -1. Let c(p) be the third derivative of 2/75*p**5 + h*p**3 + 0*p - 1/12*p**4 + 2*p**2 + 0 - 1/300*p**6. Factor c(o). -2*(o - 2)*(o - 1)**2/5 Let c(t) be the third derivative of -1/30*t**5 + 4*t**2 + 2/27*t**3 - 1/108*t**4 + 0 + 13/540*t**6 + 0*t - 1/189*t**7. Let c(z) = 0. What is z? -2/5, 1 Determine p, given that 1/9*p**3 - 2/9*p**2 - 1/3*p + 0 = 0. -1, 0, 3 Let c(v) be the third derivative of -v**8/336 + 4*v**7/105 - 11*v**6/60 + 7*v**5/15 - 17*v**4/24 + 2*v**3/3 - 23*v**2. Find o such that c(o) = 0. 1, 4 Solve 8/5*i + 1/5*i**2 + 16/5 = 0 for i. -4 Let h(l) = -l**3 + l**2 - l + 1. Let j(c) = -16*c**3 + 20*c**2 - 12*c + 12. Let q(u) = 12*h(u) - j(u). What is s in q(s) = 0? 0, 2 Let w(k) be the second derivative of 6*k**6/5 - 42*k**5/5 + 52*k**4/3 - 44*k**3/3 + 6*k**2 - 5*k. Factor w(q). 4*(q - 3)*(q - 1)*(3*q - 1)**2 Let i(z) be the second derivative of z**4/18 + z**3/3 + 2*z**2/3 - z. Factor i(c). 2*(c + 1)*(c + 2)/3 Let k(n) be the second derivative of n**6/6 - 3*n**5/4 + 24*n. Factor k(d). 5*d**3*(d - 3) Determine v, given that -32/3*v + 2/3*v**2 + 128/3 = 0. 8 Suppose -9 = -5*w + 1. Let l be (824/72 - 4) + -7. Suppose -4/9 + l*t**w - 2/3*t = 0. Calculate t. -1/2, 2 Let o = -304/3 + 102. Let j(k) be the third derivative of 2*k**2 + 3/2*k**4 + o*k**3 + 0*k + 39/20*k**5 + 5/14*k**7 + 0 + 4/3*k**6. Factor j(n). (n + 1)*(3*n + 1)*(5*n + 2)**2 Let q(r) be the second derivative of r**5/120 - r**3/12 + r**2/6 - 9*r. Factor q(t). (t - 1)**2*(t + 2)/6 Let p(c) be the first derivative of -c**6/1080 - c**5/180 - c**4/72 + 4*c**3/3 - 2. Let v(h) be the third derivative of p(h). Suppose v(x) = 0. What is x? -1 Let n be (1 + 1)/(4/6). Factor 0*c + 0 + 1/2*c**4 + 0*c**2 + 1/2*c**n. c**3*(c + 1)/2 Factor 4/3*m + m**3 + 8/3 - 10/3*m**2. (m - 2)**2*(3*m + 2)/3 Let j be 0/((-3)/(-6)*2). Let m be (-1 - 2/(-4))*j. Factor -1/3*x**2 + 0*x + m. -x**2/3 Let t = -2 + 5. Let 7*j**2 + t - 10*j**2 - 19*j**2 - 18*j + 1 = 0. Calculate j. -1, 2/11 Let w = -3 - -11. Let y = w + -6. Solve -15*s**2 + 7*s**y + 8*s**4 + 2*s - s**3 - 4*s**3 + 3*s**3 = 0. -1, 0, 1/4, 1 Let z be ((-1)/10)/(9 + (-190)/20). What is i in z*i**4 + 0 - 2/5*i**3 + 1/5*i**2 + 0*i = 0? 0, 1 Suppose 0*c + 3*c = 0. Suppose -2*l + l + 10 = c. Find v, given that -5*v**5 - 4*v - 3*v**4 + l*v**2 - 7*v**4 + 18*v**3 - 9*v**5 = 0. -1, 0, 2/7, 1 Let n = 25148/8775 - 1676/675. Let i = 2/117 + n. Factor 12/5*q**2 + i + 8/5*q**3 + 2/5*q**4 + 8/5*q. 2*(q + 1)**4/5 Let h = -24 - -36. Factor 0 - 1 - 12*k**3 - 3*k**4 + 1 - h*k**2. -3*k**2*(k + 2)**2 Let -2/3 - 8/3*x**2 - 10/3*x = 0. What is x? -1, -1/4 Factor 0 + 6*l - 6/5*l**2. -6*l*(l - 5)/5 Let m(x) be the first derivative of -x**8/1176 - x**7/735 + x**2/2 + 1. Let k(r) be the second derivative of m(r). Determine u so that k(u) = 0. -1, 0 Let k be 6/((-9)/(-3))*(1 + 0). Factor 1/2*j**3 + 1/2*j**5 + 3/2*j**k - 3/2*j**4 + 0 - j. j*(j - 2)*(j - 1)**2*(j + 1)/2 Factor 0 - 2/3*u**2 - 2/3*u. -2*u*(u + 1)/3 Let i(j) = 2*j**3 + 31*j**2 + 98*j - 3. Let s(q) = 2*q**3 + 32*q**2 + 98*q - 4. Let b(d) = 4*i(d) - 3*s(d). Find g such that b(g) = 0. -7, 0 Let a(w) = -7*w**3 - 9*w**2 + 7*w. Let v be (2 - 21/6)*-6. Let b(h) = -3*h + 4*h**2 - 2 + 2 + 3*h**3. Let x(d) = v*b(d) + 4*a(d). Factor x(n). -n*(n - 1)*(n + 1) Suppose 0 - 6/7*d**2 + 2/7*d**3 + 2/7*d**5 - 4/7*d + 6/7*d**4 = 0. What is d? -2, -1, 0, 1 Let x(d) = d**2 - 3*d + 1. Let g be x(2). Let j be 5/15 - g/(-3). Factor -2/5*c**4 + j*c - 2/5 + 4/5*c**2 + 0*c**3. -2*(c - 1)**2*(c + 1)**2/5 Let f(g) be the third derivative of -g**7/175 + g**6/100 + 3*g**5/50 - g**4/4 + 2*g**3/5 - 18*g**2. Factor f(r). -6*(r - 1)**3*(r + 2)/5 Solve -8 - 16*z**3 + 4*z**4 + 4*z**5 - 3*z**4 + 8*z**2 + 12*z - z**4 = 0. -2, -1, 1 Let x(d) be the first derivative of d**7/2520 + d**4/6 - d + 2. Let m(p) be the first derivative of x(p). Let n(g) be the third derivative of m(g). Factor n(r). r**2 Suppose 3*j = 5*b - 3 - 17, -b + 4 = 4*j. Let t(p) be the second derivative of 0 - p + j*p**2 - 1/10*p**5 - 1/3*p**4 - 1/3*p**3. Find a, given that t(a) = 0. -1, 0 Let t(y) be the first derivative of y**5 - 5*y**4/2 + 5*y**3/3 + 12. Determine p, given that t(p) = 0. 0, 1 Let t(v) = -v**3 + 9*v**2 + 27*v + 19. Let z(b) = 2*b**3 - 28*b**2 - 80*b - 56. Let k(j) = -8*t(j) - 3*z(j). Factor k(q). 2*(q + 2)**3 Factor -201/2*q**3 + 171/2*q**2 - 36*q + 6 - 27/2*q**5 + 117/2*q**4. -3*(q - 1)**3*(3*q - 2)**2/2 Let q(f) = f. Let u be q(5). Suppose u*b = 5 + 10. Factor 2 - 6 + 2*d + 4*d**2 + 3*d**3 - 5*d**b. -2*(d - 2)*(d - 1)*(d + 1) Let p(t) be the third derivative of 1/180*t**5 + 0 + 1/9*t**3 - 3*t**2 + 0*t - 1/24*t**4. Factor p(y). (y - 2)*(y - 1)/3 Let m(z) be the second derivative of -3*z**5/40 - z**4/4 + 3*z**3/4 - 21*z. Let m(l) = 0. Calculate l. -3, 0, 1 Let 2/5*x**3 + 6/5*x + 6/5*x**2 + 2/5 = 0. What is x? -1 Solve -20*u**2 - 3*u**3 - 14*u**2 + 22*u**2 - 6 - 15*u = 0. -2, -1 Let b(l) be the first derivative of -l**2/2 + 4. Let j(t) be the third derivative of -t**5/30 + t**4/6 - 2*t**2. Let w(g) = 2*b(g) + j(g). Solve w(k) = 0. 0, 1 Let z(q) be the third derivative of -2/15*q**3 +
{ "pile_set_name": "DM Mathematics" }
+ 4. Let z(d) = -7 + 6*d**3 + d**3 - 9*d + 2*d**3. What is p*z(m) - 7*v(m)? -m**3 + m Let p(h) = -6*h**2. Let o(a) = -a**2. Calculate -36*o(t) + 4*p(t). 12*t**2 Suppose -4*w + 19 = 3. Let l(s) = -2*s**3 + 2*s**2 - 3*s - 3. Let d(h) = 2*h**3 - 3*h**2 + 4*h + 4. Calculate w*l(b) + 3*d(b). -2*b**3 - b**2 Let v(t) = t - 1 - t - t + 0. Let j(f) = -4*f - 4. Let h(y) = j(y) - 3*v(y). Let z(g) = -3*g - 4. Calculate 4*h(o) - z(o). -o Let m(d) = -1. Let v be 8/10*70/(-4). Suppose j = -4 + 6. Suppose -5*t = -8 - j. Let x(r) = -r**2 - 8. What is t*x(a) + v*m(a)? -2*a**2 - 2 Let q = -14 - -17. Suppose -2*x + 5 - q = 0. Let l be (-6)/(-3) + 0/(-1). Let n(v) = 1. Let y(z) = z**3 - z**2. Determine l*y(p) + x*n(p). 2*p**3 - 2*p**2 + 1 Let q(z) = 6*z**3 - 7*z**2 + 4*z + 3. Suppose -2*g = -5 + 1. Let h(w) = 2*w**3 - 2*w**2 + w + 1. Let u be (-3)/3*10 + 3. What is g*q(m) + u*h(m)? -2*m**3 + m - 1 Let s(o) = -2 + 4 - 1. Let h(u) = u - 5. Give h(v) + 4*s(v). v - 1 Let j be (-3 + 13)/((-1)/(-1)). Let v(d) = d + 3. Let x(c) = -2*c - 7. Determine j*v(r) + 4*x(r). 2*r + 2 Let w(r) = -8*r**2 + 6*r - 4. Let m(y) = 9*y**2 - 8*y + 5. Determine 5*m(o) + 6*w(o). -3*o**2 - 4*o + 1 Let c(t) = 9*t - 8. Let r(i) = -4*i + 4. Calculate 6*c(n) + 13*r(n). 2*n + 4 Let i(x) = 4 + 0 + 2*x**2 + x**2. Let p(z) = 4*z**2 + 5. Let f(v) = -6*v**3 + 2*v**2 + 2*v + 1. Let l be f(-1). Suppose 3*j + l + 8 = 0. Give j*i(o) + 4*p(o). o**2 Let m(t) = 2*t**3 + 4*t**2 - 4*t + 1. Let d(q) = 2*q**3 + 3*q**2 - 3*q + 1. Calculate -4*d(s) + 3*m(s). -2*s**3 - 1 Let v(f) = -27*f + 3 + 50*f + 0*f**2 + 5*f**2 - 24*f. Let c(z) = 4*z**2 - z + 2. Calculate -4*c(g) + 3*v(g). -g**2 + g + 1 Let s(o) = -3*o**3 - o**3 + 2*o + 0*o**3 + 7*o**3. Suppose 3*g = 2 + 4. Let d(a) = a**3 + a**2 + a. Give g*d(n) - s(n). -n**3 + 2*n**2 Let m(b) = b**2 + 4*b - 1. Let r be m(-2). Let q(k) = 7*k + 4. Let h(l) = 5 + 7*l + 0*l + 3*l - 2*l. Calculate r*h(u) + 6*q(u). 2*u - 1 Let y(p) = -p**2 - p. Let t(n) = 3*n**2 + 6*n + 8. Let m(o) = t(o) + 5*y(o). Let a(k) = 1. Determine 6*a(c) - m(c). 2*c**2 - c - 2 Let d(a) = 2*a**2 - 15*a - 2. Let n(x) = -x**2 - x. Give -d(i) - n(i). -i**2 + 16*i + 2 Let l(f) be the first derivative of f**2/2 + f - 8. Let m = -4 - -1. Let b(r) = -2*r - 3. Calculate m*b(o) - 8*l(o). -2*o + 1 Let v(a) = -2*a**2 + 4*a**3 - 7 + 13*a**2 - 4. Let u(f) = -f**3 - 3*f**2 + 3. Calculate -22*u(b) - 6*v(b). -2*b**3 Let l(a) = a - 1. Let h(v) = 3*v + 4. Determine -h(n) - 4*l(n). -7*n Let w(g) = -g**3 + 2*g + 3. Let o(c) = -c**3 - 2*c**2 - c - 4. Let m be o(-3). Let l = m - 5. Let z(v) = 4 - 9 + 1 + 2*v**l - 3*v. Calculate 3*w(y) + 2*z(y). y**3 + 1 Let i be (-4)/(-3) + (-4)/(-6). Let k(o) = o**3 - 1. Let w(n) = 3*n**3. Let b(s) = -s**3 + s - 1. Let m(g) = 2*b(g) + 2*w(g). Give i*k(j) - m(j). -2*j**3 - 2*j Let v(y) = -y - 10. Let a(t) = 12. Let n(h) = 2. Let d(r) = -2*a(r) + 11*n(r). Determine 11*d(f) - 2*v(f). 2*f - 2 Let q(o) = 395*o. Let y(p) = p. Calculate q(x) - 474*y(x). -79*x Let h(x) = 3*x**2 - 6*x - 3. Suppose -17 - 3 = -4*m. Let z(g) be the first derivative of -1/3*g**3 + 1/2*g**2 + g + 6. What is m*z(b) + h(b)? -2*b**2 - b + 2 Let b(d) = -d + 1. Let h(z) = -2*z - 2. What is -2*b(m) - h(m)? 4*m Let j(s) = -560*s**2. Let z(o) = 51*o**2. Give 6*j(b) + 65*z(b). -45*b**2 Let s(j) = -j**2 - 12*j + 14. Let g be s(-13). Let o(h) = -h - 2. Let q(z) = 1. Give g*o(b) + 5*q(b). -b + 3 Let a(r) be the second derivative of -r**3/6 - r**2/2 + 29*r. Let h(y) = 6*y + 6. Determine -4*a(g) - h(g). -2*g - 2 Let k(u) be the first derivative of 51*u**2/2 - 21*u + 3. Let c(i) = 5*i - 2. Let j(r) = -22*r**2 - r. Let g be j(-1). Calculate g*c(x) + 2*k(x). -3*x Let r(k) = -2*k - 11. Let g(b) = -2*b - 11. What is -5*g(s) + 6*r(s)? -2*s - 11 Let i(q) = 4*q - 6. Let s(y) = -5*y + 35. Let n be s(7). Let g(h) be the third derivative of n*h + h**2 + 7/6*h**3 + 0 - 5/24*h**4. What is 5*g(k) + 6*i(k)? -k - 1 Let u = -68 - -72. Let l(c) = 2*c - 5. Let y(i) = 3*i - 6. Give u*y(g) - 5*l(g). 2*g + 1 Let g(z) = 8*z**2 + 5*z - 1. Let c be 4/((-40)/25)*(0 + 2). Let i(s) = 9*s**2 + 6*s - 1. Give c*i(w) + 6*g(w). 3*w**2 - 1 Let f(l) = 3*l + 4. Let w(x) = 6*x + 9. Calculate -7*f(j) + 3*w(j). -3*j - 1 Let g(k) = -4*k. Suppose -w - 5 = 0, 5*i + 2*w = -0*w. Let o(r) = -r + 1. Determine i*o(z) - g(z). 2*z + 2 Let d(h) = 2*h**2 + 5*h + 2. Let t(y) = -3*y**2 - 6*y - 2. Let j(l) = -4*d(l) - 3*t(l). Let b(f) = -f**2 + 3*f + 3. Calculate -2*b(s) - 3*j(s). -s**2 Let v(m) = -m**2 - m - 1. Let k(x) = x**3 - x - 2. Let r(d) = d**3 + 11*d**2 - 11*d + 13. Let l be r(-12). What is l*k(j) - 2*v(j)? j**3 + 2*j**2 + j Suppose 5*j - 16 = -i + 4, 2*i + 4 = j. Let g(c) = -c - 4*c + 1 + 2*c + j. Let d(r) = 2*r - 3. Give -8*d(h) - 5*g(h). -h - 1 Let o(k) = -25*k + 2. Let h(i) = 126*i - 11. What is 2*h(q) + 11*o(q)? -23*q Let s(c) = 19*c**3 - 5*c**2. Let m(j) = 29*j**3 - 8*j**2. What is -5*m(l) + 8*s(l)? 7*l**3 Let y(d) be the second derivative of -7*d**3/6 - 3*d**2 + 9*d. Let g(z) = 6*z + 5. What is 5*g(i) + 4*y(i)? 2*i + 1 Let v(h) = h**2 + 5*h - 1. Let u be v(-4). Let m(w) = -2*w**2 - 4*w. Let n(y) = -2*y**2 - 3*y. Give u*m(p) + 6*n(p). -2*p**2 + 2*p Let j(l) = -3*l**2 + l + l**2 + 13*l + 6 - 4*l**2. Let n(m) = -2*m**2 + 5*m + 2. Determine -6*j(h) + 17*n(h). 2*h**2 + h - 2 Let g(p) = -9*p - 4. Let z(f) = 13 - 15 + 0 - 4*f. Give -3*g(w) + 7*z(w). -w - 2 Let h(w) = -5*w**2 - 4*w - 4. Let r(k) = 4*k**2 + 3*k + 3. Give 2*h(j) + 3*r(j). 2*j**2 + j + 1 Let u(f) = f - 1. Suppose -7 + 2 = -o. Let q(d) = 6*d - 6. Determine o*u(z) - q(z). -z + 1 Let g(a) = 2*a - 2. Let c(z) = -4*z + 5. Suppose -2*x - 4*p + 7 = -p, -3*x = -5*p + 37. Calculate x*c(i) - 9*g(i). -2*i - 2 Let b(c) = -5*c - 2. Let d(n) be the third derivative of -n**4/12 - n**3/6 + 15*n**2. Give 4*b(k) - 9*d(k). -2*k + 1 Let y = -9 + 5. Let p(w) = w**3 - w**2. Let o = -8 - -11. Let v(m) = m**o - 7*m**3 + 3*m**2 + m**2 - m. Calculate y*p(a) - v(a). 2*a**3 + a Let l(z) be the third derivative of 11*z**4/24 - 5*z**3/6 + 2*z**2. Let o(j) = 4*j - 2. What is -3*l(g) + 8*o(g)? -g - 1 Let z(m) = -92*m**3 + 5*m. Let v(i) = 6762*i**3 - 368*i. What is 5*v(n) + 368*z(n)? -46*n**3 Let b(j) = -5*j**2 - 6*j. Let m(q) = -q - 3. Let t(v) = -3*v - 8. Let r(l) = 8*m(l) - 3*t(l). What is b(s) + 6*r(s)? -5*s**2 Let c(r) be the third derivative of -r**5/60 - r**3/6 + r**2. Let d(b) = -b**2 + 3*b + 7. Let p be d(5). Let a(i) = -i**2 - 2. What is p*a(m) + 6*c(m)? -3*m**2 Let w(l) = -3*l + 1. Let p(k) = -16*k + 4. Calculate -2*p(h) + 11*w(h). -h + 3 Let g(s) = -5*s**2 + 2*s - 2. Let l(v) = 6*v**2 - 2*v + 2. Give -4*g(t) - 3*l(t). 2*t**2 - 2*t + 2 Suppose -3*v - 18 = -0*v. Let k = 8 + v. Let h be 2*3/k + 2. Let u(a) = 7*a**3 - 7*a - 3. Let o(f) = 8*f**3 - 8*f - 4. Determine h*o(g) - 6*u(g). -2*g**3 + 2*g - 2 Let j(o) = 4*o**2 + 75. Let x(z) = -z**2 - 19. What is 2*j(a) + 9*x(a)? -a**2 - 21 Let q(i) = 11*i**3 + 8*i**2. Let m(v) = 7*v**3 + 5*v**2. Let c be 19/4 + (-9)/(-36). Give c*q(o) - 8*m(o). -o**3 Let d(l) = 4*l - 75. Let u(w) = -9*w + 151. What is -13*d(k) - 6*u(k)? 2*k + 69 Let g(p) = -p - 3. Let v be 15/(-1 - -6) + 2 + -3. Let l(n) be the first derivative of -3 - 2*n - 1/2*n**v. Calculate 4*g(r) - 5*l(r). r - 2 Let r(z) = 31*z + 16. Let v(s) = -21*s - 11. What is 5*r(n) + 7*v(n)? 8*n + 3 Let q(j) = -7*j**2 - 15*j - 9. Let c(k) = -3*k**2 - 7*k - 4. What is -9*c(l) + 4*q(l)? -l**2 + 3*l Let w(b) = 5*b**2 + 10*b - 10. Let v(j) = -4*j**2 + 5*j - 5. Let m(f) = 2*f**2 - 3*f + 3. Let x(r) = 11*m(r) + 6*v(r). Determine 3*w(d) + 10*x(d). -5*d**2 Suppose -11*j = -4*j + 28. Let s(l) = -4*l + 7 + 4*l - 3*l. Let q(u) = -u + 3. What is j*s(y) + 10*q(y)? 2*y + 2 Let u(y) = 2*y**2 - 5*y. Suppose 6*p + 23 = 53. Let k(h) = h**2 - 3*h. Give p*k(m) - 3*u(m). -m**2 Let t(z) be the first derivative of -4*z**2 - 4*z - 8. Let c(w) = -w. Determine -10*c(y) + t(y). 2*y - 4 Let r(j) = -5*j. Let t(m) = m. Calculate r(d) + 10*t(d). 5*d Let n(z) = -z - 3. Suppose -4*f - 14 = -2. Let k(h) = -2. Calculate f*k(b) + 2*n(b). -2*b Suppose x - 6 = -16. Let v be ((-4)/(-10))/(1/x). Let k(j) = -16*j**2 - 11*j. Let s(b) = 3*b**2 + 2*b. Give v*k(l) - 22*s(l). -2*l**2 Let f = -5 - -8. Let j(n) = -3*n**3 + 3*n**2 + 2*n. Let d(p) = -4*p**3 + 4*p**2 + 3*p. Calculate f*j(v) - 2*d(v). -v**
{ "pile_set_name": "DM Mathematics" }
) = 7*x**3 - 11*x**2 - 17*x - 5. Determine 5*b(h) - 3*d(h). -h**3 + 3*h**2 + 6*h Let r(g) = -5*g**2 + g - 5. Let z(f) = -9*f**2 + 123*f - 12. Calculate 2*r(s) - z(s). -s**2 - 121*s + 2 Let w(u) = 379*u**2 - 10*u - 28. Let r(v) = 126*v**2 - 4*v - 10. What is -8*r(z) + 3*w(z)? 129*z**2 + 2*z - 4 Let f = 478 + -474. Let m(j) = -5*j - 13. Let q(w) = w + 1. Calculate f*q(t) + m(t). -t - 9 Let h(x) = -69*x**3 + 11*x**2. Let c(y) = y**3 + y**2 + y + 1. Let u(q) = -24*q**3 - 8*q**2 - 10*q - 10. Let z(f) = 10*c(f) + u(f). Determine 2*h(r) - 11*z(r). 16*r**3 Let a(p) = 21*p**2 - 14*p - 7. Let c(l) = 36*l**2 - 27*l - 13. Determine -5*a(s) + 3*c(s). 3*s**2 - 11*s - 4 Let k(j) = -3*j**2 - 4*j - 5. Let r be 28/13 - (264/26 - 10). Let m(w) = 0*w + 4 + 3*w + 66*w**r - 63*w**2. Give 2*k(a) + 3*m(a). 3*a**2 + a + 2 Let y(d) = 7*d**2 + 3*d + 2. Let n(u) = -11*u**2 - 5*u - 3. Let o be 288/(-32) - (2 + -6). What is o*n(p) - 8*y(p)? -p**2 + p - 1 Let t(q) = 10*q**2 + 4*q + 6. Let v(x) = 2*x**3 - 4*x**2 - x + 5. Let p be v(1). Let h(k) = -3*k**2 - 8 - k - p + 11 - 3. Calculate -14*h(u) - 4*t(u). 2*u**2 - 2*u + 4 Let h(n) = 4*n**3 - 7*n**2 + 123*n + 8. Let b(c) = -c**3 - c**2 - 21*c - 1. Determine -6*b(g) - h(g). 2*g**3 + 13*g**2 + 3*g - 2 Let y(q) = -12*q**3 + q**2 - 6. Suppose 508*a - 512*a = -20, 2*f + 4*a - 6 = 0. Let z(d) = -12*d**3 + d**2 - 7. Determine f*y(l) + 6*z(l). 12*l**3 - l**2 Let o = 506 - 507. Let q(a) be the first derivative of a + 1. Let y(b) = -2*b - 7. Give o*y(z) - 6*q(z). 2*z + 1 Let a(f) = -2*f - 2. Let j(p) = -1312*p + 8. What is 5*a(h) + j(h)? -1322*h - 2 Let o(p) = -4*p**3 + 15*p**2 - 122*p + 7. Let k(u) = u**3 - 3*u**2 - 2*u - 1. What is -5*k(d) - o(d)? -d**3 + 132*d - 2 Let v(b) = 13*b**2 + 5*b - 10. Let l(m) = 7*m**2 + 3*m - 5. Suppose 95 = -1465*p + 1446*p. Calculate p*l(o) + 3*v(o). 4*o**2 - 5 Let v(f) = -f**2 + 2. Let d(q) = -21*q**2 + 272*q + 17. What is d(c) - 9*v(c)? -12*c**2 + 272*c - 1 Let i(j) = -22*j**2 + 8*j - 4. Let o(f) = 21*f**2 - 7*f + 5. Calculate 4*i(y) + 3*o(y). -25*y**2 + 11*y - 1 Let y(x) = -3*x**2 - 6. Let p(j) = 14*j**2 - 9*j + 4. Let a = 234 + -243. Let q(u) = -3*u**2 + 2*u - 1. Let z(t) = a*q(t) - 2*p(t). What is -y(d) - 6*z(d)? 9*d**2 Let u(x) = -11*x**2 + x + 1. Let l(b) = 14*b**2 - 3*b + 376. Calculate -l(i) - 2*u(i). 8*i**2 + i - 378 Let g(c) = -c + 4. Let q(n) = -7*n**2 + 69*n - 110. Let s be q(8). Let k(p) = -p + 4. Determine s*k(t) + 7*g(t). -t + 4 Let r(q) be the first derivative of -q**2/2 - 2*q + 25118. Let s(l) = 13 - 3 + 5*l + 1. Let j be (-32)/14 - (-2)/7. Determine j*s(h) - 11*r(h). h Let l(x) = 11*x**3 + x**2 - x - 1. Let b(h) = -10679*h**3 - 2*h**2 + 2*h + 2. Calculate b(s) + 2*l(s). -10657*s**3 Let u = 534 - 540. Let p(x) = -x**2 - x - 1. Let c(y) be the first derivative of -4*y**3/3 - 4*y**2 - 7*y - 12. What is u*p(d) + c(d)? 2*d**2 - 2*d - 1 Let j(v) = 24*v**3 + v**2 - 11. Let u(x) = -x**2 + 101*x - 296. Let l be u(3). Let z(g) = -5*g**3 + 2. Determine l*j(n) - 11*z(n). 7*n**3 - 2*n**2 Let k(o) = -39*o**2 - 5*o - 14. Let d(n) = -9*n**2 - n - 1. Determine 4*d(a) - k(a). 3*a**2 + a + 10 Let p(d) = -44*d - 11. Suppose -3*z + 9 = b - 4*z, 2*z = -4*b - 6. Let v(a) = -9*a - 2. What is b*p(c) - 11*v(c)? 11*c Let a(f) = 17*f**3 - 7*f**2 + 7*f + 11. Let s = -4273 - -4276. Let o = -4 - -11. Let r(x) = -8*x**3 + 3*x**2 - 3*x - 5. Calculate o*r(k) + s*a(k). -5*k**3 - 2 Let v(l) = -140*l**2 - 350*l. Let g(n) = -11*n**2. Calculate -13*g(b) + v(b). 3*b**2 - 350*b Let c(q) = 46*q**2 - 14*q - 1389. Let y(j) = 16*j**2 - 5*j - 464. What is -3*c(b) + 8*y(b)? -10*b**2 + 2*b + 455 Let p(d) = 4*d**3 + 6*d**2 + 198*d + 1. Let f(s) = -13*s**3 - 20*s**2 - 595*s - 5. Determine -2*f(k) - 7*p(k). -2*k**3 - 2*k**2 - 196*k + 3 Let i(n) = 2*n**3 - 6*n - 1. Let z(g) = 21097*g**3 + 12*g + 2. What is 2*i(j) + z(j)? 21101*j**3 Let c(a) = 2*a**3 + 425*a**2 + 15*a - 4. Let o(f) = f**3 + 211*f**2 + 6*f - 2. Calculate 2*c(i) - 5*o(i). -i**3 - 205*i**2 + 2 Suppose 469 = -2*m + 471. Let s(q) = -8*q + 4. Let f(v) be the third derivative of v**4/24 - v**3/6 + 4*v**2. What is m*s(w) + 5*f(w)? -3*w - 1 Let w(m) = -3*m + 2. Let i(a) = -6*a + 4. Let s be 14/6 + (-1)/3. Suppose 2*f = 2*h - 18, -67*h + 63*h = -2*f - 26. Suppose s*l + h = 3*l. Give l*i(v) - 9*w(v). 3*v - 2 Let y(p) = 25*p - 90. Let x(t) = -29*t + 91. Calculate -10*x(a) - 11*y(a). 15*a + 80 Let z(w) = -w**3 - 5*w**2 - 3*w + 1. Let t(d) be the second derivative of d**5/10 + 2*d**4/3 + 5*d**3/6 - d**2 + 18*d + 261. Determine 5*t(i) + 8*z(i). 2*i**3 + i - 2 Let o(r) = 7*r**3 + 23*r**2 + 2. Let q(b) = 5*b**3 + 17*b**2 + 3. Let v(f) = 2*o(f) - 3*q(f). Let g(m) = m**3 + m**2 + 1. Calculate 5*g(l) + v(l). 4*l**3 Let t(l) be the first derivative of 0 + 7 + 2*l**2 + 199*l**3 + 6*l + 5 - 198*l**3. Let x(n) = 4*n**2 + 5*n + 6. What is 3*t(c) - 2*x(c)? c**2 + 2*c + 6 Let d(u) = 6*u**3 + 3*u**2 + 3*u + 2. Let p(n) = -5*n**2 + 4*n**3 - 11*n - 5 + 1 + 6*n - 15*n**3. Suppose -36 - 12 = -16*m. Give m*p(l) + 5*d(l). -3*l**3 - 2 Let y(g) = -3*g + 5. Let b = 3733 + -3742. Let d(r) = -13*r + 21. What is b*y(x) + 2*d(x)? x - 3 Suppose 101 = -5*k - 119. Let q(c) = c**2 + 1. Let i(v) be the first derivative of 8*v**3 + 22*v - 1743. Give k*q(j) + 2*i(j). 4*j**2 Let v(y) = 220*y - 297. Let l(k) = -295*k + 296. Calculate -3*l(h) - 4*v(h). 5*h + 300 Let w = 12 + -18. Let o(u) = -17 - 12 - 18 + 54 - 17 + 56*u - 58*u. Let l(f) = -1. Let n(s) = -s**3 - 6*s**2 - s - 5. Let j be n(-6). Calculate j*o(r) + w*l(r). -2*r - 4 Let h = -12091 + 12092. Let r(y) = 1. Let d(m) = -4 - 2 + 3. Let x(f) = -d(f) - 2*r(f). Let j(z) = -z - 8. Give h*j(l) + 6*x(l). -l - 2 Let a(x) = -2*x**2 + 205*x + 1 - 213*x + 3*x**3 + 0*x**2 - 2*x**2 + 2. Let t(u) = -4*u**3 + 5*u**2 + 8*u - 4. Calculate -5*a(z) - 4*t(z). z**3 + 8*z + 1 Let c(q) = 11. Let h(j) = 1062*j + 19. Give -2*c(b) + h(b). 1062*b - 3 Let j(h) be the first derivative of 7*h**3 + h**2 + 927. Let i(w) = -62*w**2 - 7*w. Calculate 2*i(q) + 7*j(q). 23*q**2 Suppose -15 = -99*f + 94*f. Suppose 6*l - f*l = -12. Let y(c) = c**2 - 4*c. Let b(x) be the second derivative of -5*x**3/6 + 4*x. What is l*b(t) + 5*y(t)? 5*t**2 Let w(i) = -i**2 - 25*i + 33. Let g be w(-26). Let q(u) = -46 + 36 - g*u + 6. Let d(a) = 4*a + 2. What is -11*d(f) - 6*q(f)? -2*f + 2 Let t(v) be the second derivative of -2*v**3/3 + v**2 - 20*v. Let j(c) = -61*c + 31*c + 37*c + c**2 - 3. Give -4*j(a) - 7*t(a). -4*a**2 - 2 Let d(x) = -115*x**2 + 8*x + 16. Let y(t) = -229*t**2 + 14*t + 30. Give -7*d(j) + 4*y(j). -111*j**2 + 8 Let b(m) = -m**2 + m - 1. Let o(x) = 14*x**2 - 6*x + 10. Let z(d) = -2*d**3 - 2*d**2 - 455*d - 454. Let h be z(-1). Give h*o(l) + 8*b(l). 6*l**2 + 2*l + 2 Suppose 6 = 9*w - 21. Suppose 44 = -w*o - 8*o. Let d(q) = -q**3 - 1. Let u(m) = 2*m**3 + 2*m**2 - m + 4. Calculate o*d(z) - u(z). 2*z**3 - 2*z**2 + z Let x(v) = -v**2. Let b(o) = 2*o**2 - 6*o - 1. Let q be -15 + (-112)/(-7) - 2. What is q*b(y) - 4*x(y)? 2*y**2 + 6*y + 1 Let i(o) = -2*o - 12. Let p be 4 + (-11 - (-10 + 8)). Let w(x) = -3*x - 18. Calculate p*w(c) + 8*i(c). -c - 6 Let y(u) = 2*u**3 - 4*u**2. Let j(t) = -t**3 + 5*t**2 + 3*t + 19. Suppose 0 = -7*s + 3*s + 24. Let m be j(s). Let c(g) = -g**2. Calculate m*y(f) - 4*c(f). 2*f**3 Suppose 3*k - 42 = 3*y, 76*k - 5*y = 72*k + 64. Let n(v) = 7*v**3 - 6*v**2 + 6*v - 12. Let z(x) = 6*x**3 - 5*x**2 + 5*x - 11. Determine k*z(d) - 5*n(d). d**3 - 6 Let q(i) = -9*i - 6*i + 21*i - 11 - 17*i. Let u = -90 - -84. Let m(o) = 5*o + 5. Determine u*q(a) - 13*m(a). a + 1 Let s(x) = 12*x + 440. Let b(g) = 14*g + 426. Determine 5*b(d) - 6*s(d). -2*d - 510 Let k(n) = -3*n - 1. Let z(c) = -7*c - 2. Suppose 78*l = 43*l - 140. Determine l*z(t) + 9*k(t). t - 1 Let d = 502 + -500. Let i(r) = -113*r**d + 5*r + 118*r**2 + 5 + 1. Let o(n) = -4*n**2 - 4*n - 5. Give 5*i(y) + 6*o(y). y**2 + y Let y(x) = -x**3 - 23*x**2 - 6*x + 44. Let z be y(-23). Let r = -179 + z. Let k(h) = h**2 - h + 1. Let j(s) = 2*s**2 - 3*s + 3. Give r*k(w) - j(w). w**2 Let v = -51 - -52. Let u be (-25)/15*(-2 - v). Suppose -4*c = -3*c - u. Let k(x) = -x**2 - 3*x - 2. Let y(q) = -3*q**2 - 7*q - 4. Calculate c*k(t) - 2*y(t). t**2 - t - 2 Let v(h) = -3*h**3 - 4*h**2 + 2*h. Let l(m) = -m**2. Let k(q) = -q + 125. Let j be k(129). Determine j*l(w) +
{ "pile_set_name": "DM Mathematics" }
3*(w - 1)**2*(w + 3) What is d in 4/5*d**2 - 12*d - 64/5 = 0? -1, 16 Let t be 4*-1*4*(-45)/432. Find a such that -1/3*a**5 + 2*a**2 + 0*a + t*a**3 + 0 - 2/3*a**4 = 0. -3, -1, 0, 2 Suppose -5*k + 2*u + 48 = 0, 0 = 3*k - 2*u - u - 27. Factor -3*y**3 - 2*y**3 + k*y**3 + 4*y - 9*y**3. -4*y*(y - 1)*(y + 1) Let d(z) be the third derivative of 9/100*z**5 + 0*z**3 + 0 + 0*z + 12*z**2 + 3/560*z**8 - 9/200*z**6 - 1/350*z**7 - 1/20*z**4. Suppose d(v) = 0. What is v? -2, 0, 1/3, 1 Let g(t) be the second derivative of -t**6/105 - 3*t**5/70 + 3*t - 15. Solve g(p) = 0. -3, 0 Suppose 3*q + 4*x = 2*x - 79, 3*q + 5*x = -85. Let z be 2*(-6)/(48/q). Factor -45/4*k**3 - 13/2*k**2 + z*k**4 + 9*k - 2. (k - 2)*(k + 1)*(5*k - 2)**2/4 Let u(l) = l**3 - 8*l**2 - 26*l - 5. Let t be u(11). Suppose 67*y**3 - 6*y**4 + t*y**3 - 147*y**3 + 2*y**5 = 0. What is y? -1, 0, 4 Let m(y) be the first derivative of 7*y**6/24 - 3*y**5/4 + 5*y**4/12 - 7*y**2 - 11. Let r(i) be the second derivative of m(i). Let r(v) = 0. What is v? 0, 2/7, 1 Let g(r) = -r**2 + 10*r + 13. Let d be g(11). Suppose -4*b**2 + 2*b**2 + 4*b**2 + 2*b**d - 4*b**4 = 0. Calculate b. -1, 0, 1 Let f = 43 - 38. Factor -10*c - f*c**3 + 20*c + 5*c**2 - 3*c + 15 + 18*c. -5*(c - 3)*(c + 1)**2 Suppose -2*q = -6, q = 4*s + 4*q - 293. Let 5*u**3 - s*u + 71*u - 4*u**3 + 4*u**2 = 0. What is u? -4, 0 Suppose 4 + 15 = 5*n - 2*t, 0 = -2*n + 5*t + 16. Determine p so that -p + p**n - 2*p**2 + 8 + p**3 + 3*p - 10*p = 0. -2, 1, 2 Let l(x) = 5*x**3 + 195*x**2 + 185*x - 395. Let t(u) = 5*u**3 + 194*u**2 + 185*u - 396. Let r(h) = -6*l(h) + 5*t(h). Determine m so that r(m) = 0. -39, -2, 1 Let a(o) be the second derivative of -o**5/90 + o**4/18 + 10*o**3/27 - 8*o**2/3 - 98*o - 1. Factor a(b). -2*(b - 4)*(b - 2)*(b + 3)/9 Suppose 5*x - 8 = x. Suppose -7 + 5 = -3*j - 5*r, j + 5*r + 6 = 0. Factor x*c - j*c**2 - c**3 - c**3 - 4*c. -2*c*(c + 1)**2 Let -9*b**4 + 28*b**2 + 36*b**2 - 19*b**2 - 12*b - 24*b**3 = 0. Calculate b. -4, 0, 1/3, 1 Let a = 21 - 4. Let b = a + -9. Factor -8*r - 5*r**3 - 1 + 3*r**3 - b*r**2 + 1. -2*r*(r + 2)**2 Let s = 75964/3 - 25320. What is a in 64/3*a + 32/3*a**2 + s*a**5 - 4/3*a**4 - 64/3 - 32/3*a**3 = 0? -2, 1, 2 Let w(n) = 3*n**2 - 15*n - 6. Let q = -32 + 25. Let v(h) = -3*h**2 + 16*h + 7. Let i(g) = q*w(g) - 6*v(g). Factor i(d). -3*d*(d - 3) Let y(c) be the second derivative of -c**7/1260 + c**6/135 - 8*c**3/3 + 17*c. Let r(b) be the second derivative of y(b). Suppose r(l) = 0. Calculate l. 0, 4 Suppose -4 = -4*r - 4*a, 0 = 2*r - 0*a - 2*a - 6. Factor 64 - 10*o + 76*o - 12*o**2 - 2*o**4 - r*o - 14*o**3. -2*(o - 2)*(o + 1)*(o + 4)**2 Suppose 7*l - 3*l = v + 4, -2*v = -3*l + 28. Let u = v - -22. Determine t so that 3/2*t + 3/2*t**u - 3/2 - 3/2*t**3 = 0. -1, 1 Let k = -98 - -144. Let h be (-10)/42 + k/69. Factor 6/7 - h*v**2 + 3/7*v. -3*(v - 2)*(v + 1)/7 Let s(b) = -8*b**2 - 184*b - 588. Let i(y) = 3*y**2 + 73*y + 235. Let o(p) = 12*i(p) + 5*s(p). Factor o(j). -4*(j + 5)*(j + 6) Let i(n) be the first derivative of -n**3 + 6*n**2 - 9*n + 62. Suppose i(m) = 0. Calculate m. 1, 3 Solve 89*t**3 + 7*t**5 + 46*t**4 + 53212 + 18*t**2 - 27*t - 53212 - 5*t**3 = 0 for t. -3, -1, 0, 3/7 Let c(i) be the second derivative of -i**7/2520 - i**6/360 - i**5/120 - i**4/72 - 11*i**3/6 - 13*i. Let d(l) be the second derivative of c(l). Factor d(v). -(v + 1)**3/3 Let q(g) = 26*g**3 - 100*g**2 + 72*g + 178. Let z(k) = -8*k**3 + 33*k**2 - 24*k - 59. Let c(h) = -6*q(h) - 20*z(h). Determine v, given that c(v) = 0. -1, 2, 14 Let t(l) = -l**3 - 18*l**2 - 2*l - 20. Let n be t(-18). Factor n*w**2 - 4*w**3 - 8*w - 6*w**3 + 169*w**4 - 167*w**4. 2*w*(w - 2)**2*(w - 1) Let i(m) = -m**3 - 2*m**2 + 3. Let b be i(0). Factor -k**4 - 7*k**b + 4*k**3 - 498*k + 497*k - 3*k**2. -k*(k + 1)**3 Let q be 8 + (-133)/14 - (-1)/(-2). Let w be (q - 1) + 135/39. Factor 8/13*o - w - 2/13*o**2. -2*(o - 3)*(o - 1)/13 Let n(o) be the first derivative of -4/9*o**6 + 6/5*o**5 + 0*o**2 + 0*o - o**4 + 16 + 2/9*o**3. Factor n(h). -2*h**2*(h - 1)**2*(4*h - 1)/3 Let w(c) = 7*c - c**2 - 58 + 27 + 31. Let d(b) = 8*b + 0*b**2 - 5*b**2 + 4*b**2. Let v(n) = -6*d(n) + 7*w(n). Solve v(i) = 0. 0, 1 Let s(q) be the second derivative of -q**5/50 + 2*q**4/5 - 11*q**3/15 - 47*q + 3. Factor s(y). -2*y*(y - 11)*(y - 1)/5 Let u(p) be the third derivative of 25/96*p**4 + p**2 + 17/120*p**5 + 0 + 0*p - 5/1344*p**8 + 1/40*p**6 - 1/105*p**7 + 1/4*p**3. Find m, given that u(m) = 0. -1, -3/5, 2 Let v be -1 - 9/(-2) - (82 + -80). Suppose -3 + 3/2*t**2 + v*t = 0. Calculate t. -2, 1 Suppose 0 = 440*v - 425*v. What is m in 8/7*m + v - 2*m**3 - 24/7*m**2 = 0? -2, 0, 2/7 Let w = -12060/37 - -29/148. Let f = w + 328. Factor -f*g + 3/4*g**2 + 0. 3*g*(g - 3)/4 Let j(d) be the second derivative of d**7/168 + d**6/40 + d**5/80 - d**4/16 - d**3/12 + 109*d. Factor j(y). y*(y - 1)*(y + 1)**2*(y + 2)/4 Let i(u) = 5*u + 80. Let a be i(-19). Let y(b) = -2*b**2 - 29*b + 15. Let w be y(a). Let 0 + 0*f**2 + 2/7*f**5 + w*f + 2/7*f**3 - 4/7*f**4 = 0. Calculate f. 0, 1 Let h = -155/198 + 8/11. Let g = h + 599/90. Factor -g*y + 9/5 - 12/5*y**2. -3*(y + 3)*(4*y - 1)/5 What is k in -2592 + k**4 - 4*k**4 - 944*k**2 - 80*k**3 + 1289*k + 3*k**4 - 2*k**4 - 4169*k = 0? -18, -2 Let f = -389 - -389. Let j(y) be the third derivative of 0*y**7 + 0*y**3 + 0 - 1/60*y**6 + 1/336*y**8 + f*y + 0*y**5 + 4*y**2 + 1/24*y**4. Factor j(z). z*(z - 1)**2*(z + 1)**2 Let z(q) be the third derivative of -2/3*q**3 + 0*q - 1/180*q**6 + 0*q**4 + 0 - 4*q**2 - 1/180*q**5. Let t(m) be the first derivative of z(m). Factor t(b). -2*b*(3*b + 1)/3 Let r(m) = 4*m**5 + 4*m**4 + 6*m**3 + 2*m**2 - 10*m + 6. Let d(b) = b**5 + b**4 - b**3 + b**2. Let s(y) = 6*d(y) - r(y). Solve s(o) = 0. -3, -1, 1 Let h(t) = -12*t**2 + t. Let n(r) = -r**3 - 4*r**2 - 3*r + 2. Let g be n(-3). Let k(d) = 12*d**2. Let f(y) = g*k(y) + 3*h(y). Factor f(b). -3*b*(4*b - 1) Suppose 88*f - 68*f**2 + 145*f**2 - 76*f**2 + 1936 = 0. What is f? -44 Factor 0 + 8/11*g + 2/11*g**3 + 10/11*g**2. 2*g*(g + 1)*(g + 4)/11 Let i be (10 - 1)*((-39)/(-63))/13. Factor 3/7*o**4 + 0 - 3/7*o**2 + i*o**5 - 3/7*o**3 + 0*o. 3*o**2*(o - 1)*(o + 1)**2/7 Let a = -6840 + 6843. Let -86/3*h**a + 146/3*h**2 - 112/3*h + 32/3 - 2/3*h**5 + 22/3*h**4 = 0. Calculate h. 1, 4 Let j(g) be the second derivative of -g**4/48 + 31*g**3/24 + 2*g - 207. Factor j(v). -v*(v - 31)/4 Let u(n) = n**2 + 8*n. Let l be u(-8). Suppose 2*a - 4 - 2 = l. Factor -4*h**2 + 4*h**2 + 3*h**a - h + 2*h - 5*h**2 + 9*h**4. h*(h + 1)*(3*h - 1)**2 Let b = 1509499/5555 + 70/1111. Let q = b - 271. Factor 2/5*h**2 + 2/5 + q*h. 2*(h + 1)**2/5 Let c = -66 + 72. Let q be (2*(-1)/6)/(c/(-36)). Factor 2/11*g**3 + 6/11*g**q + 6/11*g + 2/11. 2*(g + 1)**3/11 Let k(w) be the second derivative of w**5/5 - 32*w**4/3 + 512*w**3/3 - 4*w - 1. Let k(d) = 0. Calculate d. 0, 16 Solve 18/11*k**2 + 4/11*k + 0 + 14/11*k**3 = 0. -1, -2/7, 0 Let f(c) be the first derivative of -c**3/6 + 9*c**2/2 + 19*c/2 + 44. Factor f(r). -(r - 19)*(r + 1)/2 Let -96/7 - 78/7*m + 18/7*m**2 = 0. Calculate m. -1, 16/3 Let p(i) be the first derivative of -5*i**6/72 - i**5/4 - i**4/3 - 2*i**3/9 - 2*i**2 + 6. Let q(l) be the second derivative of p(l). Factor q(h). -(h + 1)*(5*h + 2)**2/3 Suppose -17 = -8*p + 23. Factor -6*l**4 + 60*l**2 + 3*l**4 + 30*l**3 + 40*l + p*l**4 + 3*l**4. 5*l*(l + 2)**3 Let k(g) be the first derivative of -g**3/5 - 6*g**2/5 + 3*g - 7. Find j such that k(j) = 0. -5, 1 Let z(v) = -3*v**2 + 1. Let y(d) = -44*d**2 - 30*d - 58. Let u(m) = -2*y(m) + 28*z(m). Factor u(f). 4*(f + 3)*(f + 12) Suppose c + r - 8 = -0*c, -2*r - 10 = 0. Suppose -c*h + 16*h = 6. Factor -15/4*d + 9/4 + 7/4*d**h - 1/4*d**3. -(d - 3)**2*(d - 1)/4 Let a be 4/(-22) - (-748)/121. Factor -a*q - 1 - 3*q**2 - 6 + 2 + 2. -3*(q + 1)**2 Suppose -3*q**3 - 3/2*q**4 + 6 + 12*q + 9/2*q**2 = 0. What is q? -2, -1, 2 Let m(y) = 2*y**2 + 98*y + 1148. Let p(c) = 6*c**2 + 295*c + 3442. Let h(q) = -7*m(q) + 2*p(q). Factor h(z). -2*(z + 24)**2 Let v(m) be the second derivative of 7*m + 0*m**3 + 0*m**2 + 0 + 1/16*m**4. Determine y so that v(y) = 0. 0 Let k(x) be the first derivative of x**6/300 + x**5/200 + 10*x - 9. Let o(f) be the first derivative of k(f). Suppose o(i) = 0. Calculate i. -1, 0 Suppose 0 = -5*r + 5, r - 4 =
{ "pile_set_name": "DM Mathematics" }
rm of -39, -44, -61, -96, -155, -244? -j**3 + 2*j - 40 What is the l'th term of 14, 4, 8, 32, 82, 164, 284? l**3 + l**2 - 20*l + 32 What is the k'th term of 15, 18, 9, -18, -69, -150, -267? -k**3 + 10*k + 6 What is the y'th term of 9, -1, -15, -33, -55? -2*y**2 - 4*y + 15 What is the a'th term of -999, -1000, -1003, -1008, -1015, -1024? -a**2 + 2*a - 1000 What is the d'th term of 36, 33, 16, -21, -84, -179? -d**3 - d**2 + 7*d + 31 What is the y'th term of 146, 151, 168, 203, 262? y**3 - 2*y + 147 What is the o'th term of 83, 154, 227, 302, 379? o**2 + 68*o + 14 What is the s'th term of -109, -236, -391, -586, -833, -1144, -1531, -2006? -2*s**3 - 2*s**2 - 107*s + 2 What is the o'th term of -202, -336, -468, -598, -726? o**2 - 137*o - 66 What is the g'th term of 65, 76, 89, 104, 121? g**2 + 8*g + 56 What is the o'th term of 8, 3, -2, -7, -12? -5*o + 13 What is the u'th term of 68, 90, 138, 224, 360? 2*u**3 + u**2 + 5*u + 60 What is the v'th term of 32, 50, 72, 98, 128, 162, 200? 2*v**2 + 12*v + 18 What is the o'th term of -225, -450, -675, -900? -225*o What is the u'th term of -40, -28, -16, -4? 12*u - 52 What is the g'th term of 189, 184, 179? -5*g + 194 What is the j'th term of 226, 898, 2024, 3610, 5662, 8186, 11188, 14674? j**3 + 221*j**2 + 2*j + 2 What is the t'th term of 176, 696, 1562, 2774, 4332, 6236, 8486? 173*t**2 + t + 2 What is the y'th term of -20, -49, -88, -143, -220, -325, -464? -y**3 + y**2 - 25*y + 5 What is the k'th term of 90, 377, 858, 1533, 2402? 97*k**2 - 4*k - 3 What is the z'th term of 188, 376, 568, 764? 2*z**2 + 182*z + 4 What is the j'th term of -78, -78, -70, -48, -6, 62? j**3 - 2*j**2 - j - 76 What is the k'th term of -1427, -5711, -12851, -22847, -35699, -51407, -69971? -1428*k**2 + 1 What is the s'th term of 154, 155, 156, 157, 158, 159? s + 153 What is the m'th term of -785, -1569, -2353? -784*m - 1 What is the u'th term of 3, -2, -7? -5*u + 8 What is the a'th term of 389, 391, 401, 425, 469, 539, 641, 781? a**3 - 2*a**2 + a + 389 What is the c'th term of -348, -337, -320, -297? 3*c**2 + 2*c - 353 What is the s'th term of -9, 83, 331, 813, 1607, 2791? 13*s**3 + s - 23 What is the c'th term of -6, -17, -36, -63, -98? -4*c**2 + c - 3 What is the m'th term of 21, -39, -205, -531, -1071, -1879? -9*m**3 + m**2 + 29 What is the k'th term of -20, -59, -130, -239, -392, -595, -854, -1175? -k**3 - 10*k**2 - 2*k - 7 What is the j'th term of 148, 159, 184, 229, 300? j**3 + j**2 + j + 145 What is the p'th term of 56, 65, 74, 83, 92? 9*p + 47 What is the r'th term of 19, 63, 137, 247, 399, 599, 853? r**3 + 9*r**2 + 10*r - 1 What is the c'th term of -27, -59, -91? -32*c + 5 What is the c'th term of -9, -39, -87, -153, -237, -339, -459? -9*c**2 - 3*c + 3 What is the w'th term of 0, -16, -72, -186, -376? -3*w**3 - 2*w**2 + 11*w - 6 What is the d'th term of -38, -50, -76, -122, -194, -298, -440? -d**3 - d**2 - 2*d - 34 What is the m'th term of -45, -61, -99, -171, -289, -465? -2*m**3 + m**2 - 5*m - 39 What is the o'th term of 38, 35, 22, -7, -58, -137, -250? -o**3 + o**2 + o + 37 What is the k'th term of 167, 96, 25? -71*k + 238 What is the i'th term of -560, -561, -562, -563, -564, -565? -i - 559 What is the h'th term of -280, -272, -264, -256, -248? 8*h - 288 What is the t'th term of -49, -44, -39? 5*t - 54 What is the b'th term of -156, -314, -476, -642, -812, -986, -1164? -2*b**2 - 152*b - 2 What is the m'th term of 21, -4, -87, -258, -547, -984? -5*m**3 + m**2 + 7*m + 18 What is the t'th term of -197, -762, -1703, -3020, -4713? -188*t**2 - t - 8 What is the w'th term of -50, -45, -40? 5*w - 55 What is the a'th term of -193, -194, -197, -202, -209, -218, -229? -a**2 + 2*a - 194 What is the p'th term of -3968, -7937, -11906, -15875, -19844? -3969*p + 1 What is the t'th term of -23, -48, -73? -25*t + 2 What is the d'th term of 62, 67, 72? 5*d + 57 What is the l'th term of -66, -278, -638, -1146, -1802, -2606? -74*l**2 + 10*l - 2 What is the r'th term of -16, -65, -176, -373, -680, -1121? -4*r**3 - 7*r**2 - 5 What is the h'th term of 94, 216, 338? 122*h - 28 What is the q'th term of -1463, -1480, -1509, -1550, -1603, -1668, -1745? -6*q**2 + q - 1458 What is the o'th term of 0, 18, 62, 144, 276, 470, 738, 1092? 2*o**3 + o**2 + o - 4 What is the n'th term of -117, -200, -271, -324, -353, -352, -315? n**3 - 90*n - 28 What is the t'th term of -2357, -4712, -7067, -9422, -11777? -2355*t - 2 What is the s'th term of 898, 899, 900, 901? s + 897 What is the v'th term of 123, 127, 145, 183, 247, 343, 477, 655? v**3 + v**2 - 6*v + 127 What is the m'th term of -17, -79, -183, -329, -517, -747? -21*m**2 + m + 3 What is the z'th term of 448, 891, 1334, 1777, 2220? 443*z + 5 What is the p'th term of 20749, 20745, 20739, 20731? -p**2 - p + 20751 What is the g'th term of 22, 113, 270, 493? 33*g**2 - 8*g - 3 What is the u'th term of 11, -17, -63, -127, -209, -309, -427? -9*u**2 - u + 21 What is the q'th term of -6579, -6578, -6577? q - 6580 What is the g'th term of 454, 454, 456, 460? g**2 - 3*g + 456 What is the x'th term of -64, -65, -58, -37, 4, 71, 170, 307? x**3 - 2*x**2 - 2*x - 61 What is the d'th term of -97, -61, -27, 5, 35, 63? -d**2 + 39*d - 135 What is the w'th term of -126, -131, -140, -153? -2*w**2 + w - 125 What is the a'th term of -431, -893, -1341, -1769, -2171, -2541, -2873? a**3 + a**2 - 472*a + 39 What is the h'th term of -52, -205, -460, -817? -51*h**2 - 1 What is the k'th term of -7, 5, 23, 47, 77, 113, 155? 3*k**2 + 3*k - 13 What is the c'th term of 8874, 8874, 8872, 8868, 8862, 8854? -c**2 + 3*c + 8872 What is the a'th term of -1300, -2587, -3874, -5161, -6448? -1287*a - 13 What is the c'th term of 90, 92, 94? 2*c + 88 What is the r'th term of -471, -601, -745, -909, -1099, -1321, -1581? -r**3 - r**2 - 120*r - 349 What is the w'th term of -8, -92, -314, -740, -1436? -11*w**3 - 3*w**2 + 2*w + 4 What is the h'th term of -1497, -1496, -1495, -1494? h - 1498 What is the f'th term of -154, -141, -126, -109, -90, -69, -46? f**2 + 10*f - 165 What is the w'th term of -177, -173, -169, -165, -161? 4*w - 181 What is the t'th term of -14, -24, -36, -50? -t**2 - 7*t - 6 What is the g'th term of 27, 33, 59, 117, 219, 377, 603? 2*g**3 - 2*g**2 - 2*g + 29 What is the u'th term of 25, 43, 61, 79? 18*u + 7 What is the n'th term of -9213, -9212, -9211, -9210, -9209? n - 9214 What is the g'th term of -711, -719, -727, -735, -743? -8*g - 703 What is the o'th term of -52, -105, -158, -211, -264? -53*o + 1 What is the s'th term of 1114, 1105, 1082, 1039, 970, 869, 730, 547? -s**3 - s**2 + s + 1115 What is the d'th term of 2429, 2428, 2427, 2426, 2425, 2424? -d + 2430 What is the c'th term of 127, 983, 3303, 7819, 15263, 26367? 122*c**3 + 2*c + 3 What is the c'th term of 134, 131, 128, 125, 122? -3*c + 137 What is the m'th term of 85, 14, -47, -92, -115, -110, -71? m**3 - m**2 - 75*m + 160 What is the z'th term of -31, -33, -27, -7, 33, 99, 197? z**3 - 2*z**2 - 3*z - 27 What is the s'th term of -2990, -5971, -8960, -11963, -14986, -18035, -21116, -24235? -s**3 + 2*s**2 - 2980*s - 11 What is the i'th term of -12, -14, -8, 12, 52? i**3 - 2*i**2 - 3*i - 8 What is the k'th term of 16, 61, 122, 193, 268? -k**3 + 14*k**2 + 10*k - 7 What is the w'th term of 97, 101, 113, 139, 185? w**3 - 2*w**2 + 3*w + 95 What is the l'th term of -25, -77, -165, -289, -449, -645? -18*l**2 + 2*l - 9 What is the q'th term of -961, -956, -949, -940, -929? q**2 + 2*q - 964 What is the h'th term of 6, 12, 30, 66, 126, 216, 342? h**3 - h + 6 What is the l'th term of 82, 168, 260, 358? 3*l**2 + 77*l + 2 What is the l'th term of 10, 11, 24, 55, 110, 195? l**3 - 6*l + 15 What is the a'th term of -9, 3, 23, 51, 87, 131, 183? 4*a**2 - 13 What is the k'th term of 39, 143, 345, 669, 1139, 1779, 2613? 4*k**3 + 25*k**2 + k + 9 What is the q'th term of -85, -98, -119, -148, -185, -230? -4*q**2 - q - 80 What is the o'th term of -54, -49, -44? 5*o - 59 What is the c'th term of -258, -528, -808, -1098, -1398, -1708, -2028? -5*c**2 - 255*c + 2 What is the a'th term of -1730, -1745, -1760, -1775? -15*a - 1715 What is the j'th term of -831, -834, -837, -840, -843, -846? -3*j - 828 What is the w'th term of 425, 431, 441, 455, 473, 495, 521? 2*w**2 + 423 What is the m'th term of -5, -12
{ "pile_set_name": "DM Mathematics" }
170))/sqrt(10) - sqrt(17)) + sqrt(68) + -1 + sqrt(17) + 4 + -1)**2. 16*sqrt(17) + 275 Simplify 3*(sqrt(243) - sqrt(243)*1 - (sqrt(27) + -3) - (sqrt(96)*-1)/sqrt(8))**2 + 4. -18*sqrt(3) + 40 Simplify 2*3*(((-3 + (sqrt(1008) - (-1 + sqrt(1008))))**2 - sqrt(1008) - sqrt(1008))*2 + 0 + 5)*2. -576*sqrt(7) + 156 Simplify 6*(-6*(5*(0 + sqrt(637) + sqrt(637)))**2 - (sqrt(1573)*1*-5 + (sqrt(1573) + -2 + sqrt(1573) + -3)**2)). -2331102 + 1650*sqrt(13) Simplify ((-2*(sqrt(80) + sqrt(5))*4 - ((1 + sqrt(180) - sqrt(180)) + sqrt(180))*-2) + 4 + (-2*sqrt(125) - sqrt(125)) + 2 + -4)**2. -344*sqrt(5) + 9261 Simplify (-6*-1*sqrt(78))/(sqrt(42)/(sqrt(7) + sqrt(7) + sqrt(14)/sqrt(2)) - sqrt(6)) + (sqrt(104)/(sqrt(2) - sqrt(18)) + sqrt(52))/(sqrt(252)/sqrt(7)). -53*sqrt(13)/6 Simplify (((-1 + -1*sqrt(2736))*-6 - 6*(2 + sqrt(2736))*-2)*6)**2 + -1. 466560*sqrt(19) + 31945103 Simplify (-1 + 1 + sqrt(180)*2 + -4 - 2*(-6*(sqrt(180) - (1 + sqrt(180))) - sqrt(180))*-2)**2. -480*sqrt(5) + 1120 Simplify (3*3*(sqrt(66)*1 + sqrt(66))*-6)/((sqrt(54)*-3)/sqrt(9) - (sqrt(384) + sqrt(384) + 1*sqrt(384) + sqrt(384))). 108*sqrt(11)/35 Simplify (1*1*(sqrt(128) + 0 + 5)*-3*-6)**2*3. 77760*sqrt(2) + 148716 Simplify ((-1*sqrt(180)*3*1 - (-3*(sqrt(180) + 2*sqrt(180) + sqrt(180)) - sqrt(180) - sqrt(180)*-2*-6))*-4 + 4)**2*1. -4224*sqrt(5) + 1393936 Simplify (6*(4 + (sqrt(162) - (sqrt(162) - 5*(2 + sqrt(162)))) + -4 + (-1 + sqrt(162))*-1)*4)**2*-6. -9376128 - 2737152*sqrt(2) Simplify -6*(-3*(1 + (sqrt(612) - (sqrt(612) - (-1 + sqrt(612)))) + (-6*(sqrt(612) - -2*sqrt(612)) - sqrt(612))))**2*-1. 10707552 Simplify (sqrt(240)*-2 - -6*sqrt(15)*2)/(-1*sqrt(720)*2). -sqrt(3)/6 Simplify (6*sqrt(440)/(sqrt(8) - 4*sqrt(8)))/((sqrt(3993)*-5 + sqrt(3993))/sqrt(3)). sqrt(5)/22 Simplify 5*(-3*sqrt(80))**2 + 2*sqrt(80)*-6 + (-1*2*sqrt(80)*-5 + -3)**2. -288*sqrt(5) + 11609 Simplify (1*sqrt(132)*1)/(sqrt(96)/sqrt(72)) + ((3*sqrt(1331)*2 + sqrt(1331))**2 - sqrt(1331)) + (sqrt(1331) + -2)*-2 + sqrt(1331) + sqrt(1331). -8*sqrt(11) + 65223 Simplify (-2*3*(-1*sqrt(75))**2 + (-5 + 0 + sqrt(300) - -5*(sqrt(300) + -1 + sqrt(300)))**2)*5. -11000*sqrt(3) + 179750 Simplify (sqrt(68)*-2*1)/(sqrt(4) + (sqrt(56)/sqrt(2))/sqrt(7)) + 5*-2*sqrt(833)*5. -351*sqrt(17) Simplify (sqrt(160)/(sqrt(200) + sqrt(8)))/(-1*sqrt(100)) + (sqrt(110)/(sqrt(6)/sqrt(3)))/(sqrt(44)/(sqrt(4)*2 - sqrt(4))). 29*sqrt(5)/30 Simplify -4 + (2*1*sqrt(2299)*1*6 - ((sqrt(2299) + 0)*6 + 4 + 2 + sqrt(2299) + sqrt(2299))**2). -147176 - 924*sqrt(19) Simplify -3*(-2 + -2 + sqrt(475) + (-1*sqrt(475))**2*-5 + (-3*sqrt(475)*-1 - (sqrt(475) - (sqrt(475) + 3 + sqrt(475)))*-6)**2). -1635*sqrt(19) - 6660 Simplify 4 + sqrt(325) + sqrt(13) + 5 + 0 - (-2*(sqrt(1872) + 0) - (sqrt(1872) + (2*(sqrt(1872) + -1 - sqrt(1872)))**2)). 13 + 42*sqrt(13) Simplify (6*(sqrt(108) + 1) + 0 + (sqrt(108)*2 - sqrt(108)) - (-5*(sqrt(108)*2 + 0) + 0))**2. 1224*sqrt(3) + 31248 Simplify (-4*(3 + (sqrt(1053) + -1*sqrt(1053) + sqrt(1053) + -1 - sqrt(1053)) + -4)*5)**2 + -3. 1597 Simplify (5 + (-6*(sqrt(425) + -1 + 2 + sqrt(425)) - 6*((sqrt(425) - 6*3*sqrt(425)) + sqrt(425)))*3)**2. -32760*sqrt(17) + 26989369 Simplify (5*(sqrt(392)*3)/sqrt(8)*-3)/((sqrt(140)*2 - sqrt(35))/(sqrt(80)*-2 + sqrt(80) - sqrt(80))). 120*sqrt(7) Simplify -4 + 4*(((sqrt(162) + sqrt(162) + -1)*-2 - (sqrt(162) + -1 + sqrt(162) + 1 - sqrt(162)) - -4*(sqrt(162) + -1)*-6)**2 + 5). -54288*sqrt(2) + 547688 Simplify 1 + ((sqrt(72)*2*1)/(sqrt(6) - sqrt(24)*-5))/(1*(sqrt(726) + 2*sqrt(726) - ((sqrt(294)*-1 - sqrt(294)) + sqrt(294)))). sqrt(2)/220 + 1 Simplify 3 + (-3*(sqrt(147) + (sqrt(147)*2)**2) + (sqrt(3) - (sqrt(3) + -1)*-3) + sqrt(48) + -2 + sqrt(48))*2. -3535 - 18*sqrt(3) Simplify (sqrt(567) + 4 + sqrt(14)/(-5*sqrt(2)) + (-5 + sqrt(7)*3 - sqrt(56)/(sqrt(56)/sqrt(7))))**2 + -3. -108*sqrt(7)/5 + 20362/25 Simplify 5*((sqrt(224) + 2*sqrt(224))/((sqrt(28) - sqrt(56)/sqrt(2)) + sqrt(7)) + 1 + (sqrt(324)/sqrt(9))/sqrt(2)). 5 + 75*sqrt(2) Simplify (sqrt(342)/sqrt(6)*1 + 5*sqrt(456)/sqrt(8))/((sqrt(96)/sqrt(4))/(sqrt(288) + -2*sqrt(288) + sqrt(288) - sqrt(2))). -3*sqrt(19) Simplify ((sqrt(99) + (1*sqrt(99) + sqrt(99))*-5)*-3*-6)/(-2*sqrt(9)*1 + (sqrt(1296) - -1*sqrt(1296))). -81*sqrt(11)/11 Simplify (((-2*sqrt(240))/sqrt(8))/(sqrt(60)/sqrt(6)*6))**2 + (3 + -3*sqrt(48)*4)**2*-2. -41525/3 + 576*sqrt(3) Simplify -5 + ((sqrt(1700)*2 - sqrt(1700))*-4 - ((0 + sqrt(1700))**2 + -4)) + 3 + 0 + 2. -1696 - 40*sqrt(17) Simplify ((-1*sqrt(300)*5 + 4 + sqrt(300)*2)*-2 + (sqrt(300) + -2*sqrt(300)*-3 - ((-2 + sqrt(300))*-5 - sqrt(300))))**2 + -2. -6840*sqrt(3) + 108622 Simplify ((sqrt(286)/(sqrt(11) - sqrt(55)/sqrt(5)*-1))/(sqrt(24)/(sqrt(12)*-2)*-2) + -3)**2. -3*sqrt(13) + 49/4 Simplify (((sqrt(1700) - (2*sqrt(1700) - sqrt(1700))) + -4 + sqrt(1700) - (sqrt(1700) - (4*sqrt(1700) + 5)))*-3*5)**2. 18000*sqrt(17) + 6120225 Simplify -5 + (6*1*sqrt(99)*-5*-2)/((2*sqrt(1296))/sqrt(256)). -5 + 40*sqrt(11) Simplify 1 + -4*(((2 + sqrt(272))*6 + 3)**2 - (2*(sqrt(272) + 1 + 0 - sqrt(272)))**2)*-3. 8640*sqrt(17) + 120157 Simplify -6*-1*6*((3*((sqrt(1100) + sqrt(1100)*-2)*-1 - (-3 + sqrt(1100)*1 - sqrt(1100))))**2 + 3). 19440*sqrt(11) + 359424 Simplify (sqrt(51) + sqrt(612)/sqrt(1728) - -3*sqrt(561)/sqrt(11))/(5*2*-1*sqrt(27)). -49*sqrt(17)/360 Simplify (2*(-1*(sqrt(320)*2 + -3) - ((sqrt(320) + sqrt(320)*-2 + sqrt(320))*5 + -5))*-4)**2. -16384*sqrt(5) + 86016 Simplify -6*((sqrt(900)*2)/sqrt(5) - (sqrt(80) + -3*sqrt(80))**2*4)*-4. -30720 + 288*sqrt(5) Simplify 0 + ((0 + sqrt(468) + 1)*-6)**2 + (-3 + sqrt(468))**2*-6 + -4. 648*sqrt(13) + 14018 Simplify ((-4 + 3 + 4*(sqrt(405) + sqrt(405)*-1) + 3 + -1 + sqrt(405) + -1)*2)**2. 1620 Simplify (((5*(2*sqrt(1872) - sqrt(1872)))/(sqrt(100)*1 + sqrt(4) - -2*(sqrt(12)/sqrt(3) - sqrt(4))) + -2)*-3)**2*-1. -2961 + 180*sqrt(13) Simplify (sqrt(48)/sqrt(4)*1 + sqrt(12) + sqrt(60)/sqrt(5)*3)/((sqrt(84)/(sqrt(16)/sqrt(8)))/sqrt(7)). 5*sqrt(2) Simplify (sqrt(44)*2)/sqrt(4) + -4 + sqrt(55)/sqrt(5) - (sqrt(99) - sqrt(99)*1*-6)/(sqrt(81)*-6). -4 + 61*sqrt(11)/18 Simplify -2*(sqrt(85)*1*-1 - (-2*sqrt(85)*-2 - sqrt(85)))/((sqrt(125) - -2*sqrt(125) - sqrt(125) - sqrt(125) - -2*sqrt(5)*4)*-6). -4*sqrt(17)/39 Simplify ((sqrt(168) + (sqrt(168) - -2*sqrt(168)*-2))/(-1*sqrt(175) + sqrt(175) + sqrt(175)))/((sqrt(36) - 1*sqrt(2304))/(sqrt(3) + (2*sqrt(9))/sqrt(3))). 6*sqrt(2)/35 Simplify (1*1*sqrt(135) - -2*sqrt(135)*2)/(sqrt(55)/(sqrt(99) - 4*sqrt(99)))*-1. 135*sqrt(3) Simplify (((1*sqrt(216))/sqrt(4) + sqrt(54) + sqrt(54))/(sqrt(3) - sqrt(12)*4))/((5*sqrt(72)*-2)/(-1*sqrt(12)*1 - sqrt(12))). -3*sqrt(3)/35 Simplify (1 + -1 + sqrt(117))**2 + (3 + sqrt(39)/sqrt(3))*-3 + (3 + (0 + sqrt(1872) + sqrt(1872))**2*-4)*3. -89739 - 3*sqrt(13) Simplify 6*4*((0 + sqrt(2736)*-3 + 2*sqrt(2736)*-2)*-1)**2. 3217536 Simplify 4 + 4 + (sqrt(300)/sqrt(6) + sqrt(72))**2 + -1 + -3 + 3. 249 Simplify (5 + (sqrt(162)*-1)**2 + -5)*1 - (-3 + sqrt(288) + -2 + -5 + (0 + sqrt(288))**2). -116 - 12*sqrt(2) Simplify 5*(sqrt(108)/(sqrt(1296) + -5*sqrt(1296) + sqrt(1296)))/((6*sqrt(2000) + sqrt(20))/sqrt(5)). -5*sqrt(3)/2196 Simplify (4*sqrt(180)*3*4)/(-2*sqrt(54)/sqrt(6) + sqrt(9) - -1*sqrt(324)). 96*sqrt(5)/5 Simplify (4*(sqrt(33) + sqrt(33) + sqrt(165)/sqrt(5))*6)/(-2*(sqrt(3) - sqrt(15)/(sqrt(5)*-3)))*6. -162*sqrt(11) Simplify ((4*sqrt(84)/(sqrt(12)/sqrt(4)) + (-1*sqrt(196))/sqrt(7) + -2)*4)**2. -384*sqrt(7) + 4096 Simplify (1*-5*(2*(sqrt(34) + 2*sqrt(34) - sqrt(34)) + sqrt(34)))/(2*(sqrt(6050) - sqrt(6050)*-4)). -sqrt(17)/22 Simplify (((sqrt(325) - (0 + sqrt(325)))*-2 + (sqrt(325) - (-1 + sqrt(325) + -5) - sqrt(325)))*3 + 3*(-1*-2*sqrt(325) + 4*(-1 + sqrt(325))) + 0)**2. 900*sqrt(13) + 73161 Simplify ((sqrt(15)/sqrt(3)*2 + -1)**2*-3 - sqrt(315)/(1*sqrt(7))*-4) + -5. -68 + 24*sqrt(5) Simplify (5 + (4*-2*sqrt(880) + sqrt(880))/(-3*2*sqrt(396))*-5)**2. -350*sqrt(5)/9 + 8150/81 Simplify (-3*3*sqrt(27) - (6*(sqrt(432) - (-1 + sqrt(432))))**2) + 3 + 5. -27*sqrt(3) - 28 Simplify 1 + (sqrt(1377) - (sqrt(1377) - sqrt(1377)*1)**2) + 4 + -3 - (3*1*sqrt(1377) - (sqrt(1377) - (3 + sqrt(1377)))*1). -18*sqrt(17) - 1 Simplify (-4*sqrt(1377)*3*6 - (3 + sqrt(2448) + 1)*1)**2. 5280*sqrt(17) + 7405216 Simplify (((sqrt(720) + sqrt(720) + 0 - sqrt(720)) + sqrt(720))**2 - sqrt(720))
{ "pile_set_name": "DM Mathematics" }
m**3 + 18175*m**2 - 83695*m + 10830 = 0. Calculate m. -19, 2/15, 3 Factor j**4 + 181*j**3 + 9699*j**2 + 158219*j - 168100. (j - 1)*(j + 41)**2*(j + 100) Determine i, given that 2*i**4 + 258*i**3 - 2654*i**2 - 23610*i - 20700 = 0. -138, -5, -1, 15 Factor -2*a**3 - 170*a**2 - 1246*a - 1078. -2*(a + 1)*(a + 7)*(a + 77) Determine z, given that 3*z**2 - 389802*z - 389805 = 0. -1, 129935 Factor -9*t**3/7 + 169080*t**2/7 - 450832*t/7 + 300544/7. -(t - 18784)*(3*t - 4)**2/7 Determine j so that 6*j**4/7 + 778*j**3/7 + 1992*j**2/7 - 5112*j/7 - 4064/7 = 0. -127, -4, -2/3, 2 Suppose -4*l**2 - 2318704*l - 336024264976 = 0. Calculate l. -289838 Factor -4*i**5 + 308*i**4 - 2032*i**3 + 5120*i**2 - 5632*i + 2240. -4*(i - 70)*(i - 2)**3*(i - 1) Suppose 2*h**3 - 40*h**2 - 952*h = 0. What is h? -14, 0, 34 Find d, given that -2*d**2/9 - 1792*d/3 - 1790 = 0. -2685, -3 Suppose g**3/5 + 9459*g**2/5 + 4482135*g + 40186125 = 0. Calculate g. -4725, -9 Determine t so that t**4/3 + 101*t**3/3 - 106*t**2 - 616*t/3 + 832/3 = 0. -104, -2, 1, 4 Factor -v**2 + 167859*v - 167858. -(v - 167858)*(v - 1) Factor -k**2 - 11453*k - 45796. -(k + 4)*(k + 11449) Determine l so that -5*l**2 + 83435*l - 333660 = 0. 4, 16683 Factor -5*l**2 + 9545*l + 9550. -5*(l - 1910)*(l + 1) Factor 5*r**2 - 5450*r - 231855. 5*(r - 1131)*(r + 41) Solve 4*c**4 - 1672*c**3 + 198004*c**2 - 4865520*c + 33872400 = 0 for c. 15, 194 Factor 3*t**3 - 3774*t**2 - 12*t + 15096. 3*(t - 1258)*(t - 2)*(t + 2) Find u, given that u**5/4 + 30789*u**4/4 - 46189*u**3/2 - 15393*u**2 + 92374*u - 61584 = 0. -30792, -2, 1, 2 Determine h so that -4*h**2 + 104936*h - 688222756 = 0. 13117 Solve 3*k**2 + 39606*k + 79200 = 0. -13200, -2 Find f, given that f**4/8 + 3417*f**3/8 + 3415*f**2/8 - 3417*f/8 - 427 = 0. -3416, -1, 1 Suppose 533*g**3/9 - 5339*g**2/9 + 10*g = 0. What is g? 0, 9/533, 10 Factor -25*d**2/2 - 435*d/2 + 135. -5*(d + 18)*(5*d - 3)/2 Factor -5*a**3 + 8040*a**2 + 97020*a + 291600. -5*(a - 1620)*(a + 6)**2 Suppose 2*f**5/7 + 418*f**4/7 - 8018*f**3/7 + 34838*f**2/7 - 27240*f/7 = 0. Calculate f. -227, 0, 1, 5, 12 Factor 5*a**2 + 625*a + 9180. 5*(a + 17)*(a + 108) Determine i, given that -4*i**4/3 + 2836*i**3/3 - 2828*i**2/3 - 2836*i/3 + 944 = 0. -1, 1, 708 Factor -4*o**3 + 580*o**2 + 30848*o - 63984. -4*(o - 186)*(o - 2)*(o + 43) Factor 2*g**2/7 + 640*g/7 + 18432/7. 2*(g + 32)*(g + 288)/7 Factor 2*p**3/5 - 43008*p**2/5 + 231211008*p/5. 2*p*(p - 10752)**2/5 Factor -3*x**3 - 732*x**2 - 2157*x + 2892. -3*(x - 1)*(x + 4)*(x + 241) Factor 5*o**2 - 406250*o + 8251953125. 5*(o - 40625)**2 Factor 2*b**3 - 3334*b**2 + 1384430*b + 4183350. 2*(b - 835)**2*(b + 3) Solve -3*d**4/2 - 1446*d**3 + 11625*d**2/2 + 4329*d - 26136 = 0 for d. -968, -2, 3 Factor q**3 + 551*q**2 + 10720*q + 53100. (q + 10)**2*(q + 531) Determine z so that 2*z**3 - 1030*z**2 - 50400*z = 0. -45, 0, 560 Determine u so that -150*u**4 + 58590*u**3 + 758433*u**2/2 + 754596*u + 868239/2 = 0. -27/10, -1, 397 Factor 3*s**3 - 153006*s**2 + 1950749988*s + 3902112024. 3*(s - 25502)**2*(s + 2) Suppose -t**4/8 + 53*t**3/8 - 153*t**2/8 + 151*t/8 - 25/4 = 0. What is t? 1, 50 Let y**2/6 + 253*y/6 + 6776/3 = 0. What is y? -176, -77 Factor 5*a**4 + 320*a**3 - 6885*a**2. 5*a**2*(a - 17)*(a + 81) Factor -2*v**3 - 3018*v**2 - 1445454*v - 212685254. -2*(v + 283)*(v + 613)**2 Factor -a**4 - 417418*a**3 - 1252248*a**2 - 1252246*a - 417415. -(a + 1)**3*(a + 417415) Solve -2*r**3/13 + 476*r**2/13 - 2250*r + 8424 = 0 for r. 4, 117 Determine j so that -j**2/2 + 700*j - 20775/2 = 0. 15, 1385 Find l such that -4*l**2 + 1660*l - 100936 = 0. 74, 341 Factor -l**2/3 - 2239*l/3 + 4490. -(l - 6)*(l + 2245)/3 Solve f**3/2 - 859*f**2/2 - 861*f = 0. -2, 0, 861 Suppose -r**5/9 + 482*r**4/9 + 2944*r**3/9 - 7808*r**2/9 = 0. Calculate r. -8, 0, 2, 488 Find s, given that -3*s**2 + 378*s + 61101 = 0. -93, 219 Let -2*z**3/3 + 1292*z**2/3 - 39358*z/3 + 38068/3 = 0. Calculate z. 1, 31, 614 Find m, given that -m**3/9 + 977*m**2/9 = 0. 0, 977 Solve 3*a**2 + 440022*a + 16134946707 = 0 for a. -73337 Determine z so that -3*z**3 + 12*z**2 + 26496*z = 0. -92, 0, 96 Let -k**2/6 - 3581*k/6 + 597 = 0. Calculate k. -3582, 1 Determine p, given that -2*p**3 + 804486*p**2 - 3217920*p + 3217912 = 0. 2, 402239 Let -4*p**2 + 46752*p - 136609344 = 0. What is p? 5844 Let 2*g**5/9 - 2*g**4/3 - 134*g**3/9 - 122*g**2/9 + 220*g/3 - 400/9 = 0. What is g? -5, -4, 1, 10 Suppose -3*v**5 - 348*v**4 - 1665*v**3 = 0. Calculate v. -111, -5, 0 Factor 3*j**3 + 1356*j**2 + 4029*j - 5388. 3*(j - 1)*(j + 4)*(j + 449) Factor -y**3/6 + 242*y**2 - 1928*y + 11552/3. -(y - 1444)*(y - 4)**2/6 Suppose 3*u**2 - 4395*u + 8778 = 0. Calculate u. 2, 1463 Let -20*i**5 + 560*i**4 - 3165*i**3 + 4585*i**2 + 3185*i - 5145 = 0. Calculate i. -1, 1, 7/2, 21 Find f, given that -4*f**3 + 660*f**2 = 0. 0, 165 Find o, given that 2*o**4 + 1918*o**3 + 28416*o**2 + 90496*o - 120832 = 0. -944, -8, 1 Find h, given that -2*h**4/7 + 2986*h**3/7 + 30062*h**2/7 - 2986*h/7 - 30060/7 = 0. -10, -1, 1, 1503 Factor -13*b**4/2 - 113*b**3/2 + 417*b**2/2 - 443*b/2 + 76. -(b - 1)**3*(13*b + 152)/2 Determine l so that 3*l**3/4 - 2361*l**2/2 + 32925*l/4 - 14103/2 = 0. 1, 6, 1567 Let 5*h**4 - 15710*h**3 + 12308745*h**2 + 49423660*h + 49486580 = 0. Calculate h. -2, 1573 Factor 4*h**2 - 194048*h + 2353414144. 4*(h - 24256)**2 Solve -3*z**5 - 845*z**4 - 9529*z**3 - 21395*z**2 - 17568*z - 4860 = 0. -270, -9, -1, -2/3 Let 2*l**5/7 + 898*l**4/7 - 7300*l**3/7 + 5564*l**2/7 + 5230*l + 22850/7 = 0. What is l? -457, -1, 5 Factor -w**2/2 - 1547*w/2 + 56595. -(w - 70)*(w + 1617)/2 Factor p**2/7 - 1723*p/7 - 54374/7. (p - 1754)*(p + 31)/7 Let -18*k**5/5 - 49*k**4/5 + 39*k**3 - 10*k**2 = 0. What is k? -5, 0, 5/18, 2 Determine j so that -j**5/3 + 131*j**4/3 + 577*j**3 - 2119*j**2/3 - 3718*j/3 = 0. -13, -1, 0, 2, 143 Solve 6*b**2/5 - 1353*b + 10134/5 = 0 for b. 3/2, 1126 Solve -4*t**4 - 264*t**3 - 4284*t**2 - 10584*t = 0 for t. -42, -21, -3, 0 Suppose 354025*o**2 - 6545*o + 121/4 = 0. Calculate o. 11/1190 Suppose -3*v**2 + 738402*v + 738405 = 0. What is v? -1, 246135 Factor -3*r**3 + 2088*r**2 - 107844*r + 207360. -3*(r - 640)*(r - 54)*(r - 2) Suppose -5*s**3 + 1615*s**2 + 16545*s + 34965 = 0. What is s? -7, -3, 333 Factor 3*p**2/5 - 87186*p/5 + 633449883/5. 3*(p - 14531)**2/5 Solve 249*s**5/5 + 492*s**4/5 - 759*s**3/5 - 1974*s**2/5 - 948*s/5 + 24/5 = 0 for s. -2, -1, 2/83, 2 Factor -4*w**2 - 117828*w - 117824. -4*(w + 1)*(w + 29456) Suppose -3*m**3/5 + 22*m**2/5 + 353*m/5 - 24 = 0. Calculate m. -8, 1/3, 15 Factor 3*b**4/5 - 306*b**3/5 + 11664*b**2/5 - 39366*b + 1240029/5. 3*(b - 27)**3*(b - 21)/5 Factor 4*x**3/3 - 2072*x**2/3 - 4884*x - 8400. 4*(x - 525)*(x + 3)*(x + 4)/3 Solve 3*t**3 + 687*t**2 - 19383*t + 129285 = 0. -255, 13 Suppose -2*j**2/7 + 140520*j/7 - 2468233800/7 = 0. Calculate j. 35130 Determine y so that -4*y**2 - 2623344*y + 2623348 = 0. -655837, 1 Determine o so that -8*o**2/7 - 14366*o/7 + 3592/7 = 0. -1796, 1/4 Suppose -4*i**5 - 2357496*i**4 - 463146591656*i**3 - 30328845780244816*i**2 + 90989779402238604*i - 60660470473044632 = 0. What is i? -196459, 1, 2 Factor -2*l**3 + 39318*l**2 - 193257798*l + 193218482. -2*(l - 9829)**2*(l - 1) Factor -3*q**3 - 24867*q**2 + 174270*q + 447984. -3*(q - 9)*(q + 2)*(q + 8296) Let 2737*v**3/3 - 2165*v**2 + 2066*v/3 - 16 = 0. Calculate v. 3/119, 8/23, 2 Let r**4 + 137*r**3 + 1270*r**2 = 0. What is r? -127, -10, 0 Determine s so that s**5/7 + 261*s**4/7 + 18164*s**3/7 + 147936*s**2/7 + 45792*s + 27216 = 0. -126, -6, -2, -1 Determine v so that -v**4/4 - 173*v**3/8 - 3373*v**2/8 + 6865*v/4 - 750 = 0. -50, -40, 1/2, 3 Find d, given that 3*d**2 + 660*d - 3375 = 0. -225, 5 Suppose -5*h**5 - 18575*h**4 - 22384680*h**3 - 7947075800*h**2 + 968481934000*h - 1904996190000 = 0. What is h? -1270, 2, 93 Determine y, given that 7*y**4/5 - 52*y**3/5 - 1413*y**2/5 + 1458*y/5 = 0. -81/7, 0, 1, 18 Determine n, given that -n**2 - 6832*n = 0. -6832, 0 Factor 3*o**4 + 306*o**3 - 633*o**2 - 936*o. 3*o*(o - 3)*(o + 1)*(o + 104) Find t such that 20595*t**2 + 288336*t + 84 = 0. -14, -2/6865 Factor -3*d**2 - 432*d - 4020. -3*(d + 10)*(d + 134) Let 8*r**3 + 6500*r**2 - 16372*r - 58680 = 0. Calculate r. -815, -2, 9/2 Solve 3*s**5/4 - 117*s**4/2 + 2277*s**3/2 + 174*s**2 - 132
{ "pile_set_name": "DM Mathematics" }
ate -13 + 36*j**q + 30*j**4 - 45*j**4 wrt j. 84*j**3 What is the third derivative of 503*q**2 - 8*q**4 + 17551*q**3 - q**4 + 9*q**5 - 17551*q**3 wrt q? 540*q**2 - 216*q Let m(a) = -a**3 - 2*a**2 - 2. Let d be m(-3). Suppose 2*o + 10 = d*o. Find the second derivative of 7*p**2 - 5*p - 12*p**o + p wrt p. -10 Let y(o) = 9*o**6 - 2*o**5 - o**2 - 39. Let r(v) = 36*v**6 - 9*v**5 - 5*v**2 - 157. Let x(m) = -2*r(m) + 9*y(m). Find the third derivative of x(q) wrt q. 1080*q**3 Suppose -5*h + 3*h = 4*t + 2, 5*h = t + 17. Differentiate -h*a + 10 - 10*a - 7 wrt a. -13 Let i(a) be the second derivative of -a**8/28 + 11*a**7/14 - 6*a**4 - 2*a - 21. Find the third derivative of i(j) wrt j. -240*j**3 + 1980*j**2 Let l be 0 + (-6)/2 - (1 + -111). Differentiate 14*s**3 - 6*s**3 - 120 + l wrt s. 24*s**2 Suppose -3*a + 5*a - 20 = 0. Find the first derivative of 18 + a*o - o - 24 wrt o. 9 Let q(c) = -136*c**3 - 4*c**2 - 4*c + 46. Let i(g) = -137*g**3 - 6*g**2 - 6*g + 47. Let v(d) = 2*i(d) - 3*q(d). What is the first derivative of v(r) wrt r? 402*r**2 Let s(c) be the second derivative of 0 + 0*c**2 - 7/20*c**5 + 11*c + 0*c**4 + 7/3*c**3. Find the second derivative of s(r) wrt r. -42*r Differentiate 275 + 18*p**4 + 4*p - 23*p**4 + 9*p**4 with respect to p. 16*p**3 + 4 Let v(k) be the second derivative of 0*k**6 + 0*k**5 - k**3 + 13/42*k**7 - k + 0*k**2 + 0*k**4 + 0. What is the second derivative of v(a) wrt a? 260*a**3 Suppose -9 = 3*c + 4*v, 0 = 2*c - 5*v + 4*v + 6. Let f be ((-60)/(-8))/c*-2. Find the second derivative of x**f + 0*x**5 + 4*x - 6*x**5 wrt x. -100*x**3 Suppose -23*w + 72 = w. Let l(u) be the second derivative of 1/6*u**4 + 0*u**3 + 0 + 1/2*u**2 + w*u. Differentiate l(i) with respect to i. 4*i Let l(y) be the first derivative of -28*y**6/3 - 103*y**2/2 - 60. Find the second derivative of l(m) wrt m. -1120*m**3 Let m(l) be the first derivative of 227*l**7/7 - 107*l**3/3 - 303. What is the third derivative of m(v) wrt v? 27240*v**3 Let a(x) = -31*x**3 + 9*x**2 - 10*x - 115. Let t(c) = -16*c**3 + 4*c**2 - 4*c - 57. Let b(h) = -2*a(h) + 5*t(h). Differentiate b(z) with respect to z. -54*z**2 + 4*z Let g(i) be the second derivative of i**8/420 + 11*i**4/24 + 4*i**3/3 - 2*i. Let r(w) be the second derivative of g(w). Differentiate r(m) wrt m. 16*m**3 Let h(f) = -3*f**2 + f + 2. Let v(t) = -589*t**2 - 107*t + 12. Let k(b) = -6*h(b) + v(b). Find the second derivative of k(l) wrt l. -1142 Let d(s) = s - 3. Let t be d(13). Find the third derivative of -34*f**2 - 3*f**3 - 54 - t*f**4 + 0*f**3 + 54 wrt f. -240*f - 18 Let p(t) = -3*t - 19. Let g(b) = b + 6. Let z(h) = -11*g(h) - 4*p(h). Let i(l) = l - 1. Let d(r) = -4*i(r) + z(r). What is the first derivative of d(m) wrt m? -3 Let y(d) = 6*d**2 + 64*d - 20. Let v be y(-11). Let m(w) be the first derivative of 1/3*w**3 - 5/2*w**v + 0*w + 2. Find the second derivative of m(q) wrt q. 2 Let x(h) be the second derivative of 53*h**3/3 - 39*h**2 + 7*h + 6. Differentiate x(o) wrt o. 106 What is the first derivative of -31*p**3 - 41 + 316 + 82*p**3 + 5*p**3 - 2*p**4 wrt p? -8*p**3 + 168*p**2 Let s = 52 + -46. Find the second derivative of -12*x + s*x**4 - x - 5*x**4 + 5*x**4 wrt x. 72*x**2 Let o(w) = -w**2 - w. Let u(n) = -183*n**3 + 61*n**2 + 61*n + 366. Let y(z) = -61*o(z) - u(z). Differentiate y(x) wrt x. 549*x**2 Let j(d) be the third derivative of -d**8/1344 + d**5/10 + 17*d**4/24 - 27*d**2. Let w(c) be the second derivative of j(c). Differentiate w(i) wrt i. -15*i**2 Let g(h) be the first derivative of h**2 + 0*h + 0*h**4 + 0*h**3 + 0*h**5 - 9 + 8/3*h**6. What is the second derivative of g(p) wrt p? 320*p**3 Let h(d) be the second derivative of 0 + 2/3*d**4 + 0*d**7 + 9*d + 0*d**6 + 0*d**2 + 0*d**3 + 0*d**5 - 3/28*d**8. What is the third derivative of h(c) wrt c? -720*c**3 Let r(a) be the second derivative of 3/7*a**7 + 0 + 0*a**5 - 6*a + 0*a**4 - 1/3*a**3 + 0*a**6 + 0*a**2. Find the second derivative of r(n) wrt n. 360*n**3 Let i be (-1 - 1)*(-2)/(-4). Let q(a) = -a - 1. Let p be q(i). Find the second derivative of p*s - 5*s**2 - 6*s - 2*s wrt s. -10 Let l(k) be the first derivative of -3*k**6/40 + k**5/10 + 2*k**2 + 3. Let d(c) be the second derivative of l(c). What is the third derivative of d(a) wrt a? -54 Find the third derivative of -1517*s**4 + 1517*s**4 + 4*s**2 - 8*s**2 + 69*s**6 wrt s. 8280*s**3 Let k(i) be the first derivative of 0*i**4 + 0*i + 0*i**2 + 0*i**5 + 0*i**6 + 7 + 34/3*i**3 + 5*i**7. What is the third derivative of k(y) wrt y? 4200*y**3 Suppose -3*v + 10 = -20. What is the second derivative of -v*h + 13*h**3 - 10*h - 7*h + 6*h wrt h? 78*h Let z(m) be the first derivative of -m**5/5 + 4*m**4 - 30*m**3 - 2*m - 80. What is the third derivative of z(a) wrt a? -24*a + 96 Let z(j) be the first derivative of 3*j**7/7 + 13*j**4/6 + 16*j + 19. Let c(n) be the first derivative of z(n). Find the third derivative of c(m) wrt m. 1080*m**2 Suppose 5*s = 3*w + 13, 2*s = w - 2*s + 16. Find the third derivative of 33*f**4 + 3*f**2 - 19*f**w + 6*f**2 wrt f. 336*f Find the third derivative of 6*v - 18*v**4 + 15*v**4 - 7*v + 13*v**5 - 13*v**2 wrt v. 780*v**2 - 72*v Let p(c) be the second derivative of -283*c**4/12 - 181*c**3/3 - 474*c. What is the second derivative of p(f) wrt f? -566 Let r(p) be the first derivative of p**7/42 - 7*p**6/72 - 5*p**3 - 29. Let y(i) be the third derivative of r(i). What is the third derivative of y(k) wrt k? 120 Let c(k) be the second derivative of -k**5/10 - 229*k**4/12 - k**3/3 - 713*k**2/2 - 210*k - 1. Find the second derivative of c(g) wrt g. -12*g - 458 Let i(v) = 4*v - 2. Suppose a - 3*h = -h + 11, 4*a + 21 = -5*h. Let f be i(a). What is the third derivative of -4*k**2 + k**2 - 5*k**f - 2*k**3 + 0*k**3 wrt k? -12 Find the third derivative of -7*u**4 - 6*u**4 + 19*u**4 - 42*u**4 - 248*u**2 wrt u. -864*u Let h(a) = -2*a - 1. Let q(z) = -13*z - 8. Let s(l) = 20*h(l) + 4*q(l). Find the first derivative of s(v) wrt v. -92 Suppose -3*u = -4*h - 45, 2*h - 5 = -u - 0. Suppose -5*q = -u - 14. What is the second derivative of q + 3*d**2 - 5 + 2*d**2 - 5*d wrt d? 10 What is the second derivative of 7 - 175*h**5 - 61*h - 177*h**5 - 76*h**5 - 14 + 3 + 2*h**2 wrt h? -8560*h**3 + 4 Let h(f) = -f - 7. Let r be h(-10). Suppose -3*g = q + 2, -4*g - 29 = -r*q - 9. Find the second derivative of -2*b - b + q*b - 5*b**4 wrt b. -60*b**2 Suppose 7 = -4*m - 73. Let v = -16 - m. What is the second derivative of 2*p + v*p + p + 9*p**2 wrt p? 18 Let t(v) = 134*v**2 + 8. Let a(x) = 2*x**2 + x + 1. Let q(r) = 4*a(r) - t(r). What is the second derivative of q(p) wrt p? -252 Let d(t) be the third derivative of -29*t**4/12 - 9*t**3/2 + 7*t**2 - 2. Find the first derivative of d(g) wrt g. -58 Let i(m) be the first derivative of m**2/2 - 12*m - 5. Let a be i(14). What is the derivative of -r - 8*r - a - 1 + 4*r wrt r? -5 Let j(f) = -f**2 + 26. Let o(y) = -y**2 - 1. Let i = 22 - 21. Let c(u) = i*j(u) + 2*o(u). What is the derivative of c(s) wrt s? -6*s Let g(c) be the third derivative of -209*c**6/40 + c**5/30 - 58*c**3/3 + 82*c**2. Find the third derivative of g(n) wrt n. -3762 Let v(d) be the third derivative of 44*d**7/105 - 19*d**3/2 + 2*d**2 + 53. Differentiate v(m) wrt m. 352*m**3 Find the third derivative of -2102414*i - 2*i**5 + 86*i**2 - 102*i**4 + 2102414*i wrt i. -120*i**2 - 2448*i What is the third derivative of 109*m**3 - 9*m**2 - 191566*m + 2*m**3 + 191564*m wrt m? 666 Find the third derivative of 228*x**2 - x**3 - 789*x**4 + 1570*x**4 - 791*x**4 wrt x. -240*x - 6 Let s be (14/10)/((-1)/(-5)). Suppose -s = -5*z + 63. What is the first derivative of -15 + 24 - 11*a**3 - z wrt a? -33*a**2 Let z = -82 - -82. Let u(l) be the second derivative of -1/2*l**2 + 4*l + 1/6*l**6 + 0 + 0*l**4 + z*l**3 + 0*l**5. What is the derivative of u(a) wrt a? 20*a**3 Let r(v) be the third derivative of -19*v**7/210 + 47*v**4/12 + 4*v**2. What is the second derivative of r(o) wrt o? -228*o**2 Find the first derivative of -12*r**3 + 6*r**3 - 148 - 52*r**3 + 2*r**2 - 12*r**3 - 12*r**3 wrt r. -246*r**2 + 4*r Find the first derivative of -51*m**4 + 135*m**4 + 53*m**4 + 168 - 28*m**4 wrt m. 436*m**3 Let m be 2*(-4)/12*-3. Find the first derivative of g**2 + 2 + g**m + 12 - 4*g**2 wrt g. -4*g Let g(q) = q**3 + q**2 - q + 5. L
{ "pile_set_name": "DM Mathematics" }
= 3*i**2 + 13*i - 10. Let z(d) = -4*u(d) - 7*y(d). Calculate z(8). -2 Let r = -11 + 18. Let v(d) = -9*d**3 + 3 - 8*d + 11*d**3 - 6*d**2 - d**3. What is v(r)? -4 Let r(z) = 3*z + 1. Let k be (-8)/(-100) - (-992)/100. Determine r(k). 31 Let d(n) = -n**2 - 5*n + 12. Let u be d(-6). Let r(k) = k - 7. Let i be r(u). Let s(p) = -11*p**2 - 1. Determine s(i). -12 Let k be (-6)/(-9)*(-3)/2. Let j be (1/2)/(k/6). Let z(n) = 8*n + 2. Let l(v) = -v. Let u(x) = 4*l(x) + z(x). What is u(j)? -10 Suppose 3*o - 3*w - 15 = 0, 0 = -6*o + 2*o - w + 15. Let r(k) = -6*k**3 + 2*k**3 + 3*k**3 - 2*k + 0*k**3 - 1 + 5*k**2. Calculate r(o). 7 Let z = -13 + 16. Let f(u) = 5 + u**2 - 3*u - 7 - z - 4*u. Calculate f(8). 3 Let z(i) = 733*i - 733*i - 26*i**2. Determine z(1). -26 Let l(j) = 6*j**2 - 6*j - 5. Let q(m) = -m**3 + 5*m**2 + 5*m + 5. Let w be q(6). Let y be l(w). Let s(o) = o**2 - 7*o + 6. Determine s(y). 6 Let k(n) = n**3 - n**2. Let g be (-1)/((-2 + 1)*1). Suppose -13*i = -12*i + 5. Let r(q) = 6*q**3 - 11*q**2 - 3. Let u(o) = g*r(o) + i*k(o). Calculate u(6). -3 Suppose -3*t + 30 = 2*t. Let a(m) = 6*m**2 + m - 1. Let o(i) = -29*i**2 - 13*i + 12. Let r(p) = -5*a(p) - o(p). What is r(t)? 5 Let t(s) = s. Let p(a) = -a. Let w(x) = -5*p(x) + t(x). Calculate w(1). 6 Suppose -81 = -3*k - 4*t - 20, -57 = -3*k - 3*t. Suppose -k*n + 3*n + 0*n = 0. Let b(x) = -x**2 - x - 16. Determine b(n). -16 Let i(c) = -3*c + 25. Let g(s) = -12*s + 107. Let j(q) = -2*g(q) + 9*i(q). What is j(11)? -22 Let k(z) = z**2 - 7*z + 5. Let o be k(6). Let n = 6 + o. Let w(t) = -30*t**2 + 0*t - 3*t + 31*t**2 + 0*t. What is w(n)? 10 Let b(h) = -3*h - 1. Let a be b(-3). Let u = a + -6. Let l(x) = -3*x - 2 - 1 + 8*x - 3*x. Give l(u). 1 Let x = 16 + -10. Suppose 0 = -4*j + x*j - 6. Let f(s) = -s**2 + 7*s - 1. Let r(u) = -u**2 + 9*u - 2. Let z(g) = 3*f(g) - 2*r(g). Determine z(j). 1 Let x(y) = -y**2 - 12*y - 19. Let q be (-6)/4*(-1184)/(-222). Calculate x(q). 13 Suppose 48*b + 3*b + 561 = 0. Let d(l) = -l**3 - 12*l**2 - 11*l + 6. Give d(b). 6 Let k(m) = -m**3 + 3*m - 2. Let l be (-10)/25 + (-51)/(-15). Determine k(l). -20 Suppose 2*v + 145 = -3*q, 5*v - 5*q + 79 = 4*v. Let r = 80 + v. Let s(g) = -g**2 + 7*g + 4. Calculate s(r). 10 Let m(c) = -c**3 + 6*c**2 - c + 2. Let t = 85 + -47. Suppose -3*k = -3*p + 30, k + k + t = 5*p. What is m(p)? -4 Let k be 4 + (-2 - (-20)/8)*0. Let w(a) = a**2 - k - 7*a + 18*a + 2 - 6. Calculate w(-12). 4 Let g(d) be the first derivative of -1/2*d**2 + 1/3*d**3 - 12 + d. Give g(1). 1 Let f(a) be the third derivative of a**4/8 + 67*a**3/6 + 21*a**2 - 7. Determine f(-25). -8 Let k(u) be the first derivative of u**3/3 - 17*u**2/2 - 22*u - 164. Give k(17). -22 Let t(q) = 10*q**2 + 10*q - 1. Let m(j) = 12*j**2 + 12*j - 2. Let u(h) = -4*m(h) + 5*t(h). Suppose 4*c - 3*p = p - 28, -c - p + 3 = 0. What is u(c)? 7 Let p(r) = -5. Let h(v) = -v**2 + 10*v - 22. Let s(y) = -h(y) + 2*p(y). Suppose 28 = 2*l + 10. Give s(l). 3 Let t(v) = -1 + 3*v**2 - 1 - 2*v**2 - v - 6*v. Suppose -j + 439 - 432 = 0. What is t(j)? -2 Let d be -4 + 15/5 - -1. Let c(l) = -l**2 - 10. Calculate c(d). -10 Suppose 2*d = -0*d. Let u(v) = -v**3 + v**2 + v + 2. Let t be u(d). Let h(o) = 12*o**3 - 2 + o - o**t - 28*o**3 + 17*o**3 - o**2. Determine h(2). 0 Let p = -12 + 18. Suppose 0 = -p*i + 11*i - 10. Let r(k) = 11*k - 19*k + 3 + 1 + k**i + 9*k. What is r(0)? 4 Suppose 1 = l + 5. Let d(u) = -u**3 - 11*u**2 + 5*u + 4. Let b(r) = -4*r**3 - 48*r**2 + 20*r + 16. Let w(t) = -2*b(t) + 9*d(t). What is w(l)? 0 Let i(h) = 11*h**3 + 2*h**2 - 2*h. Let u be i(1). Let o(q) = -q**2 + 11*q - 8. Give o(u). -8 Let h(w) = -w**2 + w + 1. Let b(t) be the first derivative of -3*t**2 + 5*t - 140. Let z be ((-8)/6)/((-6)/9). Let k(m) = z*h(m) - b(m). Calculate k(5). -13 Let v(f) = -3*f**3 - 32*f**2 + 8*f - 50. Let r(z) = 4*z**3 + 42*z**2 - 11*z + 66. Let i(u) = 7*r(u) + 9*v(u). Give i(-7). -2 Let q(a) = 3. Let f(s) = -8*s - 12. Let m(p) = f(p) + 5*q(p). Calculate m(3). -21 Let c be 27*(4 + 11/(-3)). Let a(k) = k**3 - 4*k**2 + 3*k - 8. Let h(g) = g**2 - g. Let r(n) = -a(n) + 6*h(n). Calculate r(c). 8 Let a(i) be the first derivative of i**2/2 + i - 1. Suppose r + 16 = -3*r. What is a(r)? -3 Let g be -17 + 5*(-18)/(-10). Let z(x) be the second derivative of -x**3/6 - 7*x**2/2 + x. Give z(g). 1 Let n(l) = -7*l - 10. Let g(y) = 10*y + 16. Let u(i) = 5*g(i) + 7*n(i). Give u(-6). 4 Let f be ((-10)/4)/((-16)/(-32)). Let a(o) = -o + 1. Let g(u) = -u**2 + 12*u - 10. Let w(p) = f*a(p) - g(p). Give w(7). 5 Let s(d) = -6*d - 1. Let y be s(-1). Let w(v) = -v + 0 - y + 0. Let c(b) = -b**2 + 7*b + 116. Let u be c(-8). Calculate w(u). -1 Let s(c) = 2*c - 4. Let h(u) = -6*u + 13. Let g(t) = 2*h(t) + 7*s(t). Suppose 3*p = -47 + 2. Let d be 1/((p/(-6))/(-5)). What is g(d)? -6 Suppose 0 = -38*v + 51 - 317. Let b(m) = -m**3 - 8*m**2 - 8*m - 2. Determine b(v). 5 Let g = 37 + -36. Let d(s) be the first derivative of -5*s**2 - 2*s + 5. Let o(b) = -20*b - 3. Let i(w) = -5*d(w) + 3*o(w). Give i(g). -9 Let o(c) = -3*c + 7. Let w(b) = -1. Suppose 0 = 4*j + a - 15, 3*j - 9 = -4*a + a. Let n(p) = j*w(p) + o(p). Suppose 9 = 3*v + 3. Determine n(v). -3 Suppose -23*f - 50 + 142 = 0. Let d(h) = -h**3 + 3*h**2 - 5*h + 2. Determine d(f). -34 Let t(y) = -y**3 - 4*y**2 + 11*y - 6. Suppose u - 4*c - 2 = -12, -u + 3*c = 9. Give t(u). 0 Let u(a) = -a + 1. Let k be u(1). Let t(v) = -8*v - 94. Let x be t(-12). Let z be k/(3 - x/1). Let w(l) = -l**3 - l**2 + l + 14. Give w(z). 14 Let d(c) be the second derivative of c**6/360 + c**5/24 + 5*c**4/24 + 41*c**3/6 + 22*c. Let h(t) be the second derivative of d(t). Determine h(-5). 5 Let z(i) = -19*i - 15*i + 6 + 44*i - 13*i. Give z(-3). 15 Let i be ((-24)/10)/((-14)/(-70)). Let n = i - -176. Let b(f) = -2*f**2 - 170*f + 3*f**2 + n*f. Determine b(6). 0 Let v(a) be the second derivative of -a**7/2520 + 7*a**6/720 - a**5/120 + a**4/3 - 8*a. Let x(n) be the third derivative of v(n). Calculate x(6). 5 Let o = -8 + 16. Let u(g) = -o*g + g**3 - 8 + 14*g - 10*g**2 - 5*g. Determine u(10). 2 Let t = 20 + -13. Let o be ((-2)/(-1))/(-2)*t. Let f(v) = v**3 + 8*v**2 + 6*v - 9. Give f(o). -2 Let z(s) = 3*s**2 + 5*s - 5. Suppose 0 = -19*j - 13*j + 32. Calculate z(j). 3 Let h(y) = -y**3 - 8*y**2 + 5*y - 10. Let b(i) = -i**3 - 10*i**2 + 6*i - 12. Let a(j) = -4*b(j) + 5*h(j). What is a(2)? -8 Let n(k) = k**2 + 5*k - 6. Let w = 35 + -30. Suppose 2*i + 115 = -2*i - w*u, -4*i = 3*u + 125. Let z = i - -29. Give n(z). 0 Let p be 38/((-2*3)/3). Let x = p - -26. Let t(g) = g - 10. Give t(x). -3 Let x(y) be the third derivative of y**4/12 + 5*y**3/6 + y**2. Suppose -219*v + 193*v - 156 = 0. Determine x(v). -7 Let z(k) = k + 1. Suppose 4*l = 2*w + 32, -26 = -4*l + 3*w + 2*w. Let o = 139 + -149. Let a = l + o. Determine z(a). 0 Let z(q) be the first derivative of 7*q**2/2 - 4*q - 30. Let l(j) = -j. Let c(k) = 6*l(k) + z(k). Let b(d) = 3*d - 3. Let y be b(2). Give c(y). -1 Let r(b) = -b**2 - b - 2. Let p(l) = -8*l**2 + 7*l - 7. Let f(h) = -p(h) + r(h). Let w(v) = -4*v**2 + 4*v - 2. Let q(g) = 3*f(g) + 5*w(g). Calculate q(4). 5 Let m(s) = 7*s**2 + 11*s - 14. Let y(x) = -4*x**2 - 4*x + 7. Let l(f) = 3*m(f) + 5*y(f). Give l(-13). -7 Let b(l) = 14*l**2 - 9*l - 1. Let g(n) = 2*n**2 + 1. Let o(d) = b(d) - 6*g(d). Determine o(5). -2 Suppose 0 = 2*p + 3 - 11. Let f(m) = -m**2 - m + 5. Calculate f(p). -15 Let h(m) = 3 - 555*m**3 + 556*m**3 - m**2 + 7. Let t = -9 - -11. Suppose 0 = -t*i - i. Give h(i). 10 Let a(f) = -f**3 + 2*f**2 + 2*f + 2. Let i be a(3). Let j be i - 2*(-2)/4. Let z(d) be the first derivative of d**4/4 + d**2/2 - 8*d + 1. Calculate z(j). -8 Let p(f) be the third derivative of f**5/20 + f**4/8 - f**3/2 - 230*f**2. What is p(-3)? 15 Let z = 0 - -14. Let k(y) = 12*y**2 + 37*y + 11. Let q be k(-3). Suppose -4*i + m + z = 0, -q = i - 5*m - 2. Let j(l) = l**2 - 3*l + 2. Determine j(i). 6 Let m be 46/6 + 1 - (-26)/78. Let j(x) = -7 - 3 - 6*x + m. Calculate j(-2). 11 Suppose 2*t = -k + 5, -5*t + 4*k = -16 - 3. Let b(z) = 2*z - 1 + 4*z - t*z - 4*z. Let j = 1 + -4. Determine b(j). 2 Let x be 2387/(-775) - 4/(-50). Let f(b) = 2*b**2 + 4*b. What is f(x)? 6 Suppose -2*u - 22 = r, 3*u - 3*r = u - 14. Let h(l) = -l - 6. Determine h(u). 4 Let f(z) = 3*z**2 + 18*z + 24. Let
{ "pile_set_name": "DM Mathematics" }
31*y**2 - 97 - 73*y**2 as t*y**3 + g + n*y + f*y**2 and give t. 19 Express (-3 + 1 + 4)*(0*p - 2*p + 3*p) - 1 + 1 + 2*p + (27*p - 11*p + 16*p)*(-21 + 34 - 26) in the form a*p + u and give a. -412 Rearrange 879*f**3 + 4948 + 4*f - 2488 - 2460 to p + c*f**2 + t*f**3 + q*f and give q. 4 Rearrange (-z**2 - 3*z + 3*z)*(1 - 1 + z**2) + (72*z**2 - 72*z**2 + 9*z**3)*(76*z - 18*z - 23*z) to the form w*z**3 + j*z**2 + s*z + x*z**4 + g and give x. 314 Rearrange 2 - 12*r**3 - 28220*r + r**4 + 0 + 28226*r to the form l*r**4 + a*r + s*r**3 + u*r**2 + o and give l. 1 Express (-2*s**2 + 2*s**2 - s**2)*(-16 - 43 - 17)*(1 - 1 - 2)*(3 + 2 - 4)*(-160*s - 130*s + 8*s) as x*s + g*s**3 + h*s**2 + w and give g. 42864 Rearrange (-h - 7*h + 0*h)*(-9 + 18 + 1)*(-1007 + 520 + 561 + 1 + 3 - 2 + (-3 + 2 + 2)*(-3 + 0 + 2)) to the form d + y*h and give y. -6000 Express 57877692 - 57877692 + 25267*f in the form b*f + x and give x. 0 Rearrange 109 - 2*y - 71*y**3 - 106 + y + y to the form u*y**3 + o*y**2 + j*y + i and give u. -71 Express i**2 + i**2 + 20 + i**2 - 8*i**2 + 22*i**4 + 6*i**4 in the form m*i**4 + f*i**3 + r*i + j*i**2 + a and give j. -5 Rearrange ((-2 + 3 - 2)*(3*x + 4*x - 5*x) - 36*x + 202 - 409 + 206)*(0 - 1 - 1)*(-84*x - 9*x + 31*x)*(1 - 4 + 2) to the form f + t*x + i*x**2 and give i. 4712 Express (5411 - 243 + 986)*(2*f - 2*f - 2*f) as v + t*f and give t. -12308 Rearrange 73 + v**2 + 10*v**2 - 55 + 117 + 6*v**2 to s*v + q*v**2 + z and give s. 0 Express 97*g**2 + 148*g**2 - 1061*g**2 as v + x*g + c*g**2 and give c. -816 Express 121*a + 513*a - 90*a in the form y + l*a and give l. 544 Rearrange (3 + 14 + 32 - 3 + 4 + 0 - 6 + 1 + 3 + (-1 - 1 + 3)*(3 + 1 - 5) + 2 - 1 + 0)*(-11*w + 11*w + 4*w**2) to the form l*w + z*w**2 + d and give z. 192 Express -99*p + 1704*p + 2101*p as i*p + q and give i. 3706 Rearrange -30 - 115*k**2 + 35 - 1170*k**2 to the form x + i*k + j*k**2 and give x. 5 Express 0*q + q + q + (743 - 490 - 413)*(-3*q - 2*q + 3*q + (-4 - 6 + 8)*(-5*q + q + 2*q) + 0 - q + 0) in the form v + h*q and give h. -158 Rearrange -2*x**4 - 250 - 242 + 4*x**2 - 250 + 791 to the form i + p*x**2 + u*x + y*x**3 + b*x**4 and give b. -2 Express (-4384*c**3 + 6 - 711*c**3 - 29 + 15 + 8)*(15*c - 10*c - 12*c) as v*c**4 + s*c**2 + i*c + u*c**3 + m and give s. 0 Express (1 + 0 + 0)*(1 + 2*c - 1) - 102 - 54*c + 13*c + 100 + (57 + 145 + 164)*(c + 2*c - 4*c) as a + x*c and give x. -405 Rearrange -229*s**2 - 291*s**2 - 768*s**2 + 1 - 1 - 2 to the form x*s + p + j*s**2 and give j. -1288 Express (2*z + z**3 - 2*z)*(2*z - 3*z + 4*z) + (55 - 55 - 86*z)*(-5*z**3 - 222*z**2 + 222*z**2) as a*z**4 + r + p*z**3 + g*z + c*z**2 and give a. 433 Rearrange 1495 - 1495 + 59*c + (-4 + 4 - c)*(-3 + 6 - 1) - 8*c + 26*c - 4 - 5*c to i + n*c and give i. -4 Rearrange (-11*b - 68*b + 3*b + (-23*b - 17*b + 19*b)*(-5 + 2 + 2))*(2*b - 1 + 1) to the form v*b + f*b**2 + p and give f. -110 Express -92 + 2*w**3 + 4*w + 3*w**3 + 2*w**3 + 93 + 13*w**3 in the form c*w**2 + u + p*w + f*w**3 and give u. 1 Rearrange -105*w**3 - 4*w + 707*w**2 + 326 - 326 + 103*w**3 + 7*w to the form c*w**3 + i + m*w**2 + j*w and give j. 3 Express 1074 - 2838 + 1141 - 2*i as p + u*i and give u. -2 Express -f - 2*f**2 + f + (9*f + 40*f - 3*f)*(-68*f + 40*f + 31*f) as a*f**2 + g*f + c and give a. 136 Express -456*p**2 + 452*p**2 - 1021*p + 6195*p as u*p + w*p**2 + b and give u. 5174 Express (-4 + 2*t**2 + 4 + (9 - 3*t - 9)*(2 - 2*t - 2) - 18*t**2 - 10*t**2 + 21*t**2)*(-16*t - 1 + 1) in the form r*t**3 + g*t + p*t**2 + v and give r. -16 Rearrange -3*g + 11*g**2 + 2*g**4 + 2*g + 2*g**3 - 7*g**2 - 1 - 30*g**2 + 7*g**3 to the form s*g**2 + c*g**3 + y*g**4 + w + f*g and give f. -1 Express (-1 + 6*n + 1)*(9135 - 9135 - 688*n)*(0*n - 3*n + 5*n) as c*n**2 + s*n**3 + o*n + a and give s. -8256 Express 4973*u**3 + 0 + 8*u + 2 - u**4 - 4959*u**3 as o + x*u**2 + n*u + m*u**3 + z*u**4 and give o. 2 Rearrange -252754*y + 53 + 252710*y + 40 to the form p + w*y and give w. -44 Express (-3 + s**2 + 3)*(-4*s - 2*s**2 + 4*s) - 14516011 + 14516011 - 11077*s**4 - 2 + 2 + 2*s**4 as l + y*s + f*s**2 + t*s**4 + x*s**3 and give t. -11077 Express -36*n + 15*n + 0 - 1 + 23*n**2 + 48*n**2 as v*n + s*n**2 + k and give k. -1 Express -651*v**2 + 3*v - 1 + 4*v**3 - v + 305*v**2 + 253*v**2 + 8*v**3 in the form n*v**3 + b*v**2 + d*v + s and give s. -1 Rearrange -1907*t**3 + 958*t**3 - 2*t + 953*t**3 + 6 - 2 - 2*t**2 to a*t**3 + p*t**2 + v*t + r and give a. 4 Express 61 + 4289*q**2 + 1996*q**2 - 61 - 1614*q**2 in the form i*q**2 + x + o*q and give i. 4671 Rearrange -98709*f**2 + f**3 + 33*f + 98698*f**2 - f**3 + 2*f**3 to the form i*f + j*f**2 + w*f**3 + z and give j. -11 Express (-2 + 1 + 2)*(-5596 + 1026*m + 5596) as b + k*m and give k. 1026 Express -4 + 145316*c**4 + 4*c - 4*c - 145403*c**4 + 2*c**3 + 2*c**2 as m*c**2 + d*c + j + s*c**4 + r*c**3 and give s. -87 Express 7917*j - 13445*j - 7010*j - 15498*j - 1802*j as b*j + f and give b. -29838 Rearrange -3*v + 4*v - 49670 + 8*v**2 + 6*v**4 - 2*v + 49672 + 5*v**2 to the form t*v + j + z*v**3 + s*v**2 + i*v**4 and give s. 13 Rearrange (1 + 2*i - 1)*(287*i + 1 + 789*i - 264*i + 1480*i) to the form s*i + w + q*i**2 and give q. 4584 Rearrange -1425*r + 1 + 707*r + 5*r**2 - 3 + 715*r - 6*r**3 to m + l*r**2 + v*r + n*r**3 and give v. -3 Rearrange -1865 + 3724 - 1847 - 8*z**2 to u + w*z**2 + y*z and give w. -8 Express (-14 + 6 - 7)*(131*w + 28 + 29 - 59) as f*w + r and give f. -1965 Rearrange (-955 + 564 + 701)*(6*u + 1 - 1) - 2 + 2 + u to the form o + n*u and give n. 1861 Rearrange 36123*p + 5850533 - 5850533 to the form o + l*p and give l. 36123 Rearrange 2952*f**2 - 212*f**2 - 2 + 2 + 2322*f**2 to d*f + t + o*f**2 and give o. 5062 Rearrange -1426 + 700 + 726 - 26474*t**2 to l*t**2 + n + o*t and give l. -26474 Rearrange (w**2 + w**2 - 3*w**2)*(3961 + 1673 + 4841 + 342 - 1551)*(-5*w + 0*w + 2*w) to g + q*w**3 + h*w + i*w**2 and give q. 27798 Express -17*d**2 - 9*d**2 - 498*d + 23*d**2 + 4*d**2 in the form l*d**2 + z*d + x and give l. 1 Express 11*c**3 + 146*c - 3 - 126*c - 7*c**3 + (1 - 3 - 2)*(-2*c**3 + 4*c**3 - 3*c**3) as p*c**3 + m*c**2 + s + t*c and give s. -3 Rearrange -64*n**3 + 657 + 14*n + 66*n**3 - 664 - n**2 to z*n**2 + d + y*n**3 + i*n and give y. 2 Express -16154 + 227*v + 16154 + (-4 - v + 4)*(1 - 2 + 2) in the form w + f*v and give f. 226 Rearrange 1241*w - 2 - 677*w + 3*w**4 - 687*w - 4*w**4 - w**3 to the form n*w**3 + x*w**4 + v*w + h + g*w**2 and give v. -123 Express (-b + 2*b + b)*(5753*b**3 + 3431*b**3 + 3768*b**3) in the form g*b**2 + a*b + u*b**4 + v + q*b**3 and give q. 0 Express -2626*z - 5510 + 5510 in the form m*z + i and give i. 0 Express 2 + 1 + 41*y - 115*y**2 - 103*y**2 + 212*y**2 + 0 in the form a*y**2 + f*y + t and give a. -6 Rearrange (-3*a + 3 - 3)*(10907*a + 18500*a + 1076 - 1076) to the form l*a + n + x*a**2 and give x. -88221 Rearrange (-i - 63 + 3*i + 62)*((2 + 0 + 0)*(-3 + 0 + 1) + 3 + 4 - 6)*(79*i**2 - 1042*i + 1042*i) to the form o*i + w*i**3 + a*i**2 + z and give a. 237 Rearrange -4*i**3 + 24 + 4 + 3*i**2 - 2*i**4 + 30*i - 31 + 3*i**3 to t + y*i**2 + d*i + l*i**4 + v*i**3 and give l. -2 Rearrange 7 - 19 - 4*x**2 + 2*x**4 + x - 44 + 2*x**3 + 28 to the form i + f*x**4 + o*x + n*x**2 + s*x**3 and give i. -28 Rearrange -5*v - 6*v - 2*v + (0*v + 0*v + v)*(-1 - 1 + 0) + 339 - 151*v + 293*v - 141*v to the form q*v + z and give q. -14 Express 23*c**3 - 72*c**3 + 24*c**3 + 11*c**3 + (23 + 37 + 2)*(-6*c**3 + 3*c**3 + 2*c**3) in the form f + i*c + p*c**2 + k*c**3 and give k. -76 Rearrange (-69*v**2 + 1153*v**2 + 3366*v**2)*(8 - 3*v**2 - v - 6 + 2*v**2) to the form j*v + m*v**3 + x*v**4 + y*v**2 + a and give x. -4450 Express (-35*g - 15*g + 25*g)*(39 - 695 + 981 + 808 + 1282) in the form w*g + s and give s. 0 Express -249*s + 3 + 439*s**2 + 249*s + 417*s**2 + 377*s**2 in the form u + n*s**2 + k*s and give u. 3 Express 10705 + 10698 - 21405 + 626*s as n*s + l and give n. 626 Express 5*h**4 + 72 - h - 24 - h**3 + 2*h**2 - 5 - 18 as i*h**3 + s*h + c + v*h**4 + t*h**2 and give i. -1 Rearrange -3*v**3 + v**2 + 46*v + 4*v**3 + 98*v**2 - 46*v to b + a*v**3 + h*v**2 + n*v and give a. 1 Express -5*l - 4 + 6*l + 2*l**2 - l**3 + 1 + (-1457 + 254 + 62)*(-l + 3*l**3 + l) in the form r*l**3 + t + a*l**2
{ "pile_set_name": "DM Mathematics" }
= 2*c**2. Let h(q) be the first derivative of -97*q**3 + 2080. What is v(h(t))? 169362*t**4 Let u(p) = -241684*p + 3. Let w(j) = -2*j. Determine u(w(l)). 483368*l + 3 Let p(k) = -5*k**2. Let v(l) = -10471582*l + 1. Calculate v(p(u)). 52357910*u**2 + 1 Let l(h) = 9 + 15 - 2*h - 42 + 18. Let a(q) = -445*q. Give l(a(v)). 890*v Let t(n) be the second derivative of -7*n**4/12 - n**3 - 6*n**2 - 37*n. Let u(v) = v**2 + v + 2. Let b(r) = t(r) + 6*u(r). Let j(i) = -97*i. Give j(b(k)). 97*k**2 Let u(t) be the third derivative of -19*t**4/24 + 2*t**3/3 + 12*t**2 - 119*t. Let h(g) = -7*g. Determine h(u(v)). 133*v - 28 Let k be 90241/639 + 2/(-9). Let u be (-2165)/(-15) + (-4)/(-6). Let x(t) = k + u + 4*t - 286. Let b(v) = v**2. Determine b(x(g)). 16*g**2 Let q(f) be the first derivative of -3*f**3 + 10056. Let u(z) = 2*z - 3*z - 6*z**2 + z. What is u(q(b))? -486*b**4 Let g(n) = 2*n**2 + 3. Let u(y) be the third derivative of 0 + 2*y - 1/20*y**5 + 0*y**4 + 0*y**3 - 96*y**2. Give u(g(z)). -12*z**4 - 36*z**2 - 27 Let o(p) = 9*p - 185. Let h(g) = 22*g - 444. Let b(u) = -5*h(u) + 12*o(u). Let f(s) = -20*s - 14. What is b(f(v))? 40*v + 28 Let g(j) be the third derivative of 0*j + 0 - 1/6*j**4 - 2*j**2 + 0*j**3. Let m(t) be the third derivative of -t**5/20 - 12263*t**2. Determine g(m(p)). 12*p**2 Let r(k) be the third derivative of k**8/20160 - k**5/30 + 5*k**4/24 - k**2 - 97. Let v(y) be the third derivative of r(y). Let d(g) = -70*g. What is v(d(n))? 4900*n**2 Let o(b) = -2077*b. Let l(z) = 5*z**2 + 474. Determine l(o(f)). 21569645*f**2 + 474 Let g(h) be the third derivative of -5*h**4/24 - 377*h**3/3 + 4*h**2 - 29. Let c(b) = -b. Calculate c(g(m)). 5*m + 754 Let t(o) = 92*o - 84. Let w(c) = 180*c - 154. Let m(q) = 11*t(q) - 6*w(q). Let z(n) = -n + 3*n + n. Calculate m(z(u)). -204*u Let g(h) = -3*h. Let r(b) = 3*b**2 - 1114*b + 275. Give r(g(y)). 27*y**2 + 3342*y + 275 Let w(h) = 89 - 13*h - 89. Suppose -3*y = y - 2*k - 16, -2*k = 2*y + 4. Let c(o) = 5*o**y - o**2 - 2*o**2. What is c(w(s))? 338*s**2 Let s(l) = -120*l. Let h(t) = 74*t**2 + 56*t + 63. Let a(w) = -73*w**2 - 48*w - 54. Let x(g) = -7*a(g) - 6*h(g). What is s(x(q))? -8040*q**2 Let q(l) = 37164355*l - 37164355*l + 3391*l**2. Let n(v) = -3*v. Give n(q(h)). -10173*h**2 Let c(n) = -2720*n**2 - 3*n + 34. Let x(h) = 36*h. Give x(c(w)). -97920*w**2 - 108*w + 1224 Let x(d) = -14*d + 3*d**2 - 15*d - 8*d + 37*d. Let h(p) = -70*p + 12. Let i(w) = -910*w + 154. Let z(g) = -77*h(g) + 6*i(g). What is x(z(u))? 14700*u**2 Let q(n) = 296*n - 3619. Let t(b) = 36*b**2 - 1. Determine q(t(h)). 10656*h**2 - 3915 Let x(q) be the third derivative of -q**4/12 - q**2. Let p = -227 + 229. Let u(d) = 0 - 333*d**2 + 2 + 331*d**p. What is u(x(a))? -8*a**2 + 2 Let g(t) be the second derivative of 11*t**4/12 - t + 327. Let z(v) = -39*v + 6. Let f(p) = -2*p + 1. Let w(n) = -6*f(n) + z(n). What is w(g(b))? -297*b**2 Let i(d) = 8*d**2 + 8*d + 4. Let l(j) = -7*j**2 - 6*j - 3. Let z = -285 - -288. Let c(s) = z*i(s) + 4*l(s). Let x(m) = 29*m. Determine c(x(u)). -3364*u**2 Let p(d) be the third derivative of d**5/60 - 191*d**2 - 2. Let n(c) be the third derivative of -13/24*c**4 + 0 + 0*c**3 - c**2 + 0*c. Give p(n(j)). 169*j**2 Let v(b) = -5*b - 16. Let f(q) = 4*q**2 - 2*q - 1464. Calculate v(f(x)). -20*x**2 + 10*x + 7304 Let d(t) = -239110*t**2. Let f(l) = -1568*l**2 + 1. Calculate f(d(s)). -89648192412800*s**4 + 1 Let h be (-5)/(-10) + (-190563)/(-6). Let i(v) = -h + 4*v + 31752 + 2*v. Let k(u) = -u. Determine k(i(b)). -6*b + 9 Let k(z) = -3*z**2. Let g = 95 - 66. Suppose 31*i - g*i = 24. Let u(v) = -i*v + 19 - 19. Calculate k(u(r)). -432*r**2 Let v(o) = 48*o - 59*o + 8*o**2 - 2*o**3 - 16 - 21*o**2 - 6*o**2. Let h be v(-9). Let f(b) = -3*b**2 + b**2 + 7*b**h. Let r(i) = -i. Determine f(r(z)). 5*z**2 Let j(g) = -15*g**2 + 26*g + 35. Let r(v) = -7*v**2 + 12*v + 22. Let i(p) = -6*j(p) + 13*r(p). Let x(c) = -23*c**2. Give x(i(n)). -23*n**4 + 3496*n**2 - 132848 Let z(l) = 231615*l**2 - 50*l. Let s(p) = -p**2. What is z(s(d))? 231615*d**4 + 50*d**2 Let d(l) = 2*l. Let h(t) be the second derivative of -21451*t**3/3 - t + 2212. Give h(d(z)). -85804*z Let b(l) = -28*l. Let d(q) = -276*q**2 + 801. Give d(b(x)). -216384*x**2 + 801 Let g(b) = 2*b**2. Let k(h) = 11438175*h. Determine k(g(j)). 22876350*j**2 Let s(i) = -i. Let x(j) = -19468567*j. Give s(x(q)). 19468567*q Let s(z) = 15323229*z**2. Let x(b) = 13*b**2. What is x(s(m))? 3052417510823733*m**4 Let p(v) be the second derivative of v**4/6 + 10*v + 73. Let i(r) be the second derivative of 5*r**3/6 + r. Give i(p(s)). 10*s**2 Let m(d) = 3*d**2. Let h(s) = -372495316*s. Determine h(m(n)). -1117485948*n**2 Let o(w) = 3*w**2 - 687*w. Let j(p) = -2*p - 67. Calculate j(o(q)). -6*q**2 + 1374*q - 67 Let u(f) = f**2 - 184*f. Let x(i) = -209*i**2 + 6*i. Let d(h) = -385*h**2 + 11*h. Let l(w) = -6*d(w) + 11*x(w). Give u(l(o)). 121*o**4 - 2024*o**2 Let t(l) = 792*l - 10. Let x(f) = 79*f - 1. Let k(m) = t(m) - 10*x(m). Let b(p) = 745*p. Calculate b(k(g)). 1490*g Let w be (4/(-12))/((-3)/18). Let g(t) = w*t - 2*t - 2*t + 0*t. Let q(o) = 119*o**2. Calculate g(q(m)). -238*m**2 Let d(z) = -33*z. Let i(v) = -v. Let m(q) = -d(q) + 9*i(q). Let n be ((-2)/(-4)*-2)/((-13)/117). Let a(t) = n*t - 12*t + 5*t. Calculate m(a(s)). 48*s Let i(p) be the third derivative of 52*p**2 - 1/12*p**4 + 0 + 0*p + 3/2*p**3. Let a(t) = -t**2. Let h(f) = -f**2. Let y(v) = -3*a(v) + 2*h(v). Give i(y(w)). -2*w**2 + 9 Suppose 5*m + i - 17 = -10, -2*i - 6 = 0. Let f(p) = -1 + 4 - 456*p**m - 3 + 448*p**2. Let h(l) = 19*l**2. What is f(h(c))? -2888*c**4 Let d(i) = -463*i**2 + 29*i. Let h(q) = -4876*q. Calculate d(h(z)). -11007999088*z**2 - 141404*z Let z(s) = -5*s. Let m(u) be the second derivative of 0*u**2 - 7/6*u**3 + 40*u + 0. What is m(z(f))? 35*f Let f(k) = 2*k**2. Let s(m) = 969*m + 0 + 1209*m - 167*m + 0. Calculate s(f(h)). 4022*h**2 Let o(p) = 14*p**2. Let u(d) = -4*d**2 + 23*d + 68. Determine u(o(t)). -784*t**4 + 322*t**2 + 68 Let c(w) be the second derivative of -w**4/2 + 4*w + 19. Let o(g) = 133*g - 21. Let k(q) = -33*q + 5. Let f(v) = 21*k(v) + 5*o(v). Determine f(c(a)). 168*a**2 Let o(z) = -174*z**2. Let c(q) = -15661*q**2. Determine o(c(k)). -42676444254*k**4 Let u be 6*(-3)/(-9) - 0 - 0. Let a(z) = -35*z**u - 29*z**2 + 103*z**2 - 33*z**2 + 3*z. Let t(c) = c. Determine a(t(k)). 6*k**2 + 3*k Let x(z) = -711*z. Let o(i) = 259*i**2 - 5*i. Determine x(o(d)). -184149*d**2 + 3555*d Let w(h) be the first derivative of -1/12*h**4 - 27 + 0*h**3 + 0*h**2 - 25*h. Let y(b) be the first derivative of w(b). Let t(u) = 13*u**2. Calculate t(y(o)). 13*o**4 Let y(l) = 175*l**2. Let g be (-1)/(-2) + 204/8. Let w(d) = -d - 26 + 2*d + 0*d + g. Give w(y(t)). 175*t**2 Let y(o) = 19*o. Let x(w) = -147811 + 73901 + 3*w + 73899. What is y(x(q))? 57*q - 209 Let r(g) = -32*g**2. Let t(n) be the second derivative of 95*n**3/2 + 6420*n. What is r(t(z))? -2599200*z**2 Let m(c) = -c**2. Let f(j) = -5810*j**2 - 42*j + 21. Let k(o) = 581*o**2 + 4*o - 2. Let p(v) = 2*f(v) + 21*k(v). Give p(m(w)). 581*w**4 Let x(c) = 2*c**2 + c**2 - 2*c**2. Let m(g) be the first derivative of 25*g**2/2 + 4*g + 481. What is m(x(l))? 25*l**2 + 4 Let r(b) = b - 10. Let u(l) = -606*l - 40. Let t(d) = 4*r(d) - u(d). Let n(h) = -4*h**2. Calculate t(n(k)). -2440*k**2 Let f(v) = 148*v. Let c(a) be the first derivative of a**3 + 42. What is c(f(w))? 65712*w**2 Let a = -404 + 406. Let y(g) = -a + 2 - 11635*g + 11640*g. Let x(z) = 19*z**2. Calculate x(y(b)). 475*b**2 Let r(l) = 22*l + 81*l + 101*l - 49*l + 14*l. Let s(u) = -3*u. Determine r(s(d)). -507*d Let s(n) = -10*n. Suppose -17*w = -24*w - 147. Let m(v) = 3*v. Let l(a) = w*m(a) - 6*s(a). Let o(y) = 3*y + 17. Determine o(l(i)). -9*i + 17 Let u(t) = -67*t**2 + 33*t + 33. Let h(i) = 234*i**2 - 117*i - 117. Let m(l) = 11*h(l) + 39*u(l). Let v(k) = -262*k. What is m(v(q))? -2677116*q**2 Let h(f) = 15 + 0 - 2 - 38*f - 2. Let i(a) = -13*a + 4. Let b(x) = 4*h(x) - 11*i(x). Let m(u) = -11*u**2. Give b(m(s)). 99*s**2 Let q(d) = 2184199*d. Let y(v) = -5*v**2 - 4. Give y(q(o)). -23853626358005*o**2 - 4 Let x(u) = -315*u. Let z(o) = 5*o**2 - 9*o - 45. Let c(i) = -i**2 + 2*i + 10. Let b(r) = 18*c(r) + 4*z(r). Determine x(b(s)). -630*s**2 Let
{ "pile_set_name": "DM Mathematics" }
Rearrange (-h**3 - h**3 + 4*h**3)*(-4 - 6 - 7 + 27) to k*h**2 + o*h**3 + y + s*h and give k. 0 Express -3*l + 4*l**4 + l**3 - 2 - 2*l + 3*l + 1 as y*l**4 + m + t*l**3 + p*l + r*l**2 and give y. 4 Rearrange -18*f**2 + 2*f**2 - 8 + 6*f**2 + 9*f**2 to m*f**2 + b + o*f and give m. -1 Rearrange 0*d**2 + 1 - 22*d**2 - 9*d**2 to the form c + n*d + y*d**2 and give y. -31 Rearrange 11 - 4*y**2 + 11*y**2 - 5*y**2 to b*y + k + v*y**2 and give k. 11 Rearrange -k - 3*k + 2*k + (-2 + 3 + 2)*(-k - 2*k + 6*k) - 7*k - 2*k + k to t*k + q and give t. -1 Rearrange (4 - 6 + 4)*(3*r**4 - 7*r**4 - 7*r**4) to v*r**3 + o + z*r**2 + l*r**4 + j*r and give l. -22 Express 16*x - 68*x - 26*x + 3*x as q + y*x and give y. -75 Rearrange -10 + 2 + 8 - 28*d**2 to the form j*d + x*d**2 + l and give x. -28 Express ((-5*j + 5*j - 3*j)*(-4 + 2 + 0) - 1 + j + 1)*(3 + 0 - 2)*(-33*j - 29*j + 58*j) as h*j**2 + c*j + d and give h. -28 Rearrange -x**4 - 4*x**4 + 2*x**3 - 3*x + 2 + 0*x**3 + x to r + a*x + k*x**2 + n*x**4 + j*x**3 and give j. 2 Rearrange 0 - i**3 + 2 + 3*i - 2*i - 3*i to the form l*i + b + f*i**3 + h*i**2 and give l. -2 Rearrange 7 - 10*k - 6 - 1 to the form s + z*k and give z. -10 Rearrange (-5*a**2 + a**2 + 2*a**2)*(-1 + 0 - 1)*(-2 + 0 + 3)*(-13*a**2 + 67*a - 67*a) to the form m*a**2 + p*a**4 + b*a**3 + q + i*a and give q. 0 Express (0 - 2 + 10)*(3*y + 6*y - 2*y - 1) in the form q*y + o and give o. -8 Express 2*k**3 + 0*k**2 - k**4 + 791*k + 2 - 807*k - k**2 in the form n + r*k**4 + w*k + u*k**2 + f*k**3 and give f. 2 Express (2 - 4 + 3)*(-2*s**4 - 2*s**4 + 19*s**4 + 3*s) in the form d*s + c*s**3 + r*s**2 + w*s**4 + u and give d. 3 Express 4 + 24*m - 13*m + 5*m**4 - 10*m + m**3 - 2*m**2 in the form u*m**2 + v*m**3 + h*m + f*m**4 + n and give f. 5 Rearrange -2*a**4 + 2*a**3 + 4*a**4 - 6*a**4 + 2*a**2 + 1 to the form b*a + z*a**4 + s + x*a**2 + o*a**3 and give z. -4 Express d**2 + 2 + 21*d**2 + 4*d**2 - 3 in the form s + l*d**2 + t*d and give t. 0 Express (m - 14*m**3 + m**2 + 1 + 11*m**3 + 3*m)*(3*m - 2*m + 0*m) in the form f*m**3 + q*m**4 + g*m + a + z*m**2 and give g. 1 Express -17*r + 63*r + 3*r in the form n*r + g and give n. 49 Express 6*a - 37*a - 4*a as r + y*a and give y. -35 Express (4*p**2 + p**2 + p**2)*(4*p + p + p) in the form g*p**2 + z*p + n*p**3 + o and give g. 0 Rearrange -2 + 2 + 52*c - 22*c to the form j + x*c and give x. 30 Express (-9 + 9 - 3*c)*(-c + 5*c - 2*c) + c**2 - 2*c + 2*c + (-4 + 4 + 1)*(13*c**2 + 12*c - 12*c) in the form l + q*c + p*c**2 and give p. 8 Rearrange -7 + 6 - 15*x + 1 to the form s*x + d and give s. -15 Express (-4 + 0 + 5)*(-2 - 5 - 2)*(2*n**3 - 2*n**3 + 2*n**4) in the form o*n + y*n**2 + c + m*n**4 + v*n**3 and give m. -18 Express -2576 + 3*s**3 - 2*s**3 + 2617 in the form o + n*s + b*s**2 + h*s**3 and give h. 1 Rearrange 27*f**2 - 16*f**2 + 27*f**2 to v*f + s + r*f**2 and give r. 38 Rearrange -2*j + 3 + j**2 + 2 + 3*j**2 - j**2 to the form u + x*j + t*j**2 and give x. -2 Express 30*a**3 - 4*a**2 + 36*a**3 + 2 - 65*a**3 as g + j*a + w*a**3 + f*a**2 and give g. 2 Rearrange (12*h**2 - 7*h**2 - 9*h**2)*(-2 + 1 + 2) to the form z*h**2 + r + s*h and give z. -4 Express -17 + 3 + 4*m**2 - 3*m**2 + 0 in the form x + r*m + l*m**2 and give x. -14 Express -9*i**4 + 4*i + 4*i**4 - i**3 + 1 - 3*i**4 in the form j*i**3 + k*i**4 + a + o*i**2 + s*i and give a. 1 Rearrange -8*d + 0*d**3 + 0*d**3 - 14*d + 2*d**3 to the form t*d**3 + i*d**2 + a + q*d and give q. -22 Express 6*d**3 + 2*d**3 + 4 - 5*d**3 + 3*d**3 in the form i*d**2 + s*d + n*d**3 + b and give i. 0 Rearrange (3*w**3 + 3*w**3 - 4*w**3)*(w + 0*w - 2*w) + 35*w**4 + 7 + 2*w**2 + 84*w - 86*w - 5 to m*w**4 + n + h*w**2 + u*w**3 + d*w and give d. -2 Express (2 + 4 - 4)*(-1 + 1 + 2*o) + 2*o - 4*o + 0*o - 357*o - 31*o + 26*o in the form s + w*o and give s. 0 Express 6*w**3 + 0*w**3 + 23*w - 21*w as r + u*w + m*w**2 + l*w**3 and give l. 6 Express 85*m - 85*m + 38*m**2 in the form q + z*m + v*m**2 and give v. 38 Rearrange 1208 + 6*g - 1208 - 3*g**2 to the form j*g**2 + r + i*g and give i. 6 Express 9*n**2 + 6 + 2 - 3*n + 8 - 15 as s*n + u*n**2 + x and give s. -3 Express -2*d**2 - 3*d**2 + 9*d**2 - 4*d + 4*d - d**2 + d**2 - 1 + 1 + (3*d**2 - 4*d**2 + 2*d**2)*(2 - 3 + 2) in the form l + k*d**2 + c*d and give k. 5 Express 35*j**4 + 2*j**2 - j**3 + 35*j**4 - 79*j**4 + 1 as x*j**2 + f*j**3 + y*j + w*j**4 + z and give x. 2 Rearrange 2*a**2 + a**4 - 20*a**3 - 2*a + 11*a**3 + 10*a**3 to the form t*a + o*a**2 + n*a**3 + v*a**4 + u and give o. 2 Express -1 - b + 1 + (-4 + 3 - 1)*(-b + 0*b + 2*b) + b + 2*b - b - 2 + 7*b - 3*b - 14*b in the form a + f*b and give f. -11 Rearrange -6*o + 2*o - 6*o - 3*o to the form j*o + s and give j. -13 Rearrange -2*m**3 + 2*m**3 - 3*m**3 + (-5*m**2 + 3*m**2 + 5*m**2)*(-2*m + 0*m + 0*m) to the form z + o*m**3 + i*m + d*m**2 and give o. -9 Rearrange 66*u**4 - u**4 - 7*u**4 + (-1 + u + 1)*(u - u**3 - u) to m*u**4 + b*u**3 + n + y*u**2 + f*u and give m. 57 Express -9*z + 6*z + z + 13*z**2 as q*z**2 + g + h*z and give q. 13 Rearrange (-2 + 0 + 0)*(3*k**2 - 3*k**2 + k**2) + 0*k**2 + 2*k**2 - k**2 + (3 - 3 + 2*k)*(10*k - 19*k + 26*k) to the form m*k + w + f*k**2 and give f. 33 Express 10*r - 6*r + 7*r in the form s + w*r and give w. 11 Express 11*n - 45 + 45 in the form r*n + o and give o. 0 Rearrange -18*p + 3 - 1 - 12*p + 9*p to s*p + r and give s. -21 Rearrange ((-4 + 0 + 2)*(-3*h - h + 7*h) + 2 - 4*h + 2*h + h)*(-2 - h**2 + 2) to d*h**3 + t + p*h**2 + o*h and give d. 7 Express 4*t - 5*t + 2*t - 3*t in the form r + p*t and give p. -2 Express 269 - 269 - 30*a**2 as x*a + n*a**2 + g and give g. 0 Express -6*q**2 - 36*q**3 + q - 4*q**2 + 9*q**2 in the form d*q**3 + m*q + p*q**2 + c and give d. -36 Rearrange (3*v - 3*v - v)*(0*v - 3*v + 5*v) + v**2 + 2*v**2 - 4*v**2 + (4*v + 3 - 3)*(-3*v + v - 3*v) to the form l*v**2 + n*v + r and give l. -23 Rearrange -k**4 - k**4 + 2*k**2 - 21*k + 9*k - 3 + 13*k to the form x + v*k + u*k**3 + a*k**4 + g*k**2 and give v. 1 Rearrange -6*x**3 - 3*x**4 + x**4 - 2*x**2 + 5*x**3 - 5*x**3 to t + m*x + k*x**3 + a*x**2 + z*x**4 and give z. -2 Rearrange -177*p**3 - 1 + 1 - 7*p + p**2 + 175*p**3 to w*p**3 + f*p**2 + s + j*p and give w. -2 Express (1 - 2 + 2)*(-m**2 + 4*m**2 - m**2) + 2*m**2 + m - m - 13 + 13 + 10*m**2 in the form w*m**2 + p*m + n and give w. 14 Rearrange (30*c - 9*c + 5*c)*(-3 + 3 + c) to h + u*c + f*c**2 and give h. 0 Rearrange (0*k - 2*k + 3*k + 5)*(-k + 0*k + 14*k) to the form p*k + v*k**2 + a and give v. 13 Rearrange -t**2 + 3*t**2 + 0*t**2 + (0*t + 0*t + t**2)*(-8 + 8 + 7) to u*t**2 + m + f*t and give f. 0 Rearrange -23 - 2*t**4 - 4*t**2 - t**4 - 2*t**3 + 22 - t**3 to d*t**2 + o*t + h*t**4 + l*t**3 + y and give l. -3 Rearrange (0 + 2 + 1)*(-2*d**2 - 13*d**2 + d**2)*(-4*d**2 - 2*d**2 + 7*d**2) to the form i*d**2 + l*d + a*d**4 + v + b*d**3 and give a. -42 Express (954*j + 13*j**2 - 1 + j**3 - 954*j)*(1 - 4 - 1) in the form d*j**3 + g + m*j + p*j**2 and give g. 4 Rearrange 34*h + 277 - 277 to the form w + g*h and give g. 34 Express (4 - 3 - 5)*(0*y**2 + y**2 - 2*y**2)*(3 - 1 - 4) as h*y + t + c*y**2 and give c. -8 Express -3 - s - 13*s + 3 as m + t*s and give t. -14 Express 2*p**3 + p - 3*p**2 + p**2 - p - 3*p + p**4 as x + q*p**2 + t*p**4 + l*p**3 + s*p and give q. -2 Express 7 + 5*w - 7 - 2*w + 1 - 1 + (1 - 1 + w)*(-3 - 1 + 5) + 4*w - 4*w - 2*w in the form k + j*w and give j. 2 Express (3*n - 2 + 2)*(153 - 42 - 52) as d*n + f and give d. 177 Rearrange (3*i**2 - 2*i**3 - 3*i**2)*(-1 + 2 + 6) to the form r*i**2 + k + v*i + g*i**3 and give g. -14 Rearrange l - 3*l + 73*l**4 - 65*l**4 + (-2*l**3 + l**3 - l**3)*(l + 2*l - 5*l) to the form n*l + d + m*l**3 + f*l**2 + j*l**4 and give j. 12 Rearrange 8*q - 9*q + 9*q - 1 + 24*q to the form d*q + r and give r. -1 Express 31*t**4 + 3*t**4 + t + 32 - 30 in the form l + v*t**4 + x*t**3 + y*t**2 + c*t and give l. 2 Express (-5*t**2 + 5*t**2 - 4*t**2 + (t - 3*t + t)*(2*t - t + 0*t))*(4*t - 8*t + 3*t + 5*t**2) in the form c*t + m*t**2 + d*t**4 + o*t**3 + w and give d. -25 Express -2 + 34*t + 8*t + 2 in the form m + q*t and give q. 42 Rearrange 2*r**4 + 2*r**2 - 2 - 5*r**3 + 2 + 12*r**3 to g*r**2 + n*r + o*r**4 + l + q*r**3 and give g. 2 Express j**4 + 5 + 2*j**2 + 14 + 2*j**4 - 2*j**4 as f + k*
{ "pile_set_name": "DM Mathematics" }
ative of 11 + k*s - 3*s**2 - 2*s - 5. What is v(n(m))? -108*m**2 Let f(x) = 22*x. Let h(m) = m - 1. Let q(g) = 7*g - 8. Let u(v) = -40*h(v) + 5*q(v). Calculate f(u(c)). -110*c Let d(a) = 6*a**2 + 4*a + 1. Let i(l) be the second derivative of l**3/6 - 2142*l. Determine i(d(s)). 6*s**2 + 4*s + 1 Let k be 2*(-11)/((-154)/63). Let l(w) = -k*w**2 + 12*w**2 - 7*w**2. Let c(n) = -n**2 - n**2 - 2*n**2. Determine c(l(j)). -64*j**4 Let j = -176 - -178. Let c(v) = -2*v**j + 102 - 102. Let f(t) = 17*t. What is f(c(y))? -34*y**2 Let f(o) be the first derivative of 1/3*o**3 + 0*o - 119 + 0*o**2. Let t(d) = 3*d**2. Determine f(t(q)). 9*q**4 Let j(o) = 11*o**2 + 34. Let b(q) = 2*q + 1815 - 1815. Determine j(b(i)). 44*i**2 + 34 Let p(x) = 12*x**2. Let w(q) be the third derivative of q**5/60 - 6*q**3 - 1089*q**2. Give p(w(y)). 12*y**4 - 864*y**2 + 15552 Let w(z) = 11*z**2 + 40. Let r(c) = 2*c**2 + 7. Let f(a) = 6*r(a) - w(a). Let k(q) = -5*q**2 - 9. Give k(f(j)). -5*j**4 - 20*j**2 - 29 Let l(h) = 46991269*h. Let k(u) = 2*u. What is l(k(y))? 93982538*y Let q(y) = -2*y. Let w(h) = 83*h + 2206. Let b(p) = 139*p + 4412. Let n(o) = 3*b(o) - 5*w(o). Determine n(q(k)). -4*k + 2206 Let t(k) be the third derivative of -k**4/12 - k**2. Let v(j) be the second derivative of j**3/3 + 1788*j. Determine t(v(n)). -4*n Let n(u) = -35*u**2. Let v(y) = 7*y - 3. Let w(k) = 12*k - 5. Suppose -46 = 5*r + 5*j - 11, -1 = -5*r + 4*j. Let c(h) = r*w(h) + 5*v(h). What is n(c(m))? -35*m**2 Let x(p) = -p**2 + 263*p + 75. Let v(n) = -126*n. Give x(v(f)). -15876*f**2 - 33138*f + 75 Let a(g) = 12*g. Let t(u) = 2094399*u**2. Calculate t(a(y)). 301593456*y**2 Let i(t) = 3*t**2. Let m(o) be the third derivative of -o**8/720 - o**5/30 - 29*o**3/6 - 3*o**2 + 6*o. Let r(u) be the third derivative of m(u). Give i(r(w)). 2352*w**4 Suppose -10*w + 4*w = -132. Let u(k) = -23 + 65 - k - 20 - w. Let q(j) = -121*j + 2. What is q(u(g))? 121*g + 2 Let g(k) = -9*k. Let i(y) be the third derivative of y**8/2240 - 11*y**5/12 - 2*y**2 + 8. Let j(u) be the third derivative of i(u). Give g(j(w)). -81*w**2 Let m(z) = -40*z - 33. Let k(d) = 124*d + 102. Let s(v) = 12*k(v) + 37*m(v). Let c(n) = -13*n. What is c(s(i))? -104*i - 39 Let k(n) be the third derivative of -17*n**4/6 - 4730*n**2 - n + 2. Let z(l) = -4*l. Let o(f) = f**2 - 9*f. Let w(m) = 4*o(m) - 9*z(m). Calculate k(w(t)). -272*t**2 Let i(a) = -a. Let g(l) = -7*l**2 + 2. Let w(d) = 5*d - 38. Let r be w(7). Let z(c) = -c**2 + 1. Let x(f) = r*g(f) + 6*z(f). What is x(i(u))? 15*u**2 Let o(h) = 815940*h. Let y(p) = -7*p**2. Determine o(y(s)). -5711580*s**2 Let z(j) = 2*j + 10. Suppose -20 = -7*k + 12*k. Let v(m) = -2*m - 8. Let y(g) = k*z(g) - 5*v(g). Let p(o) = -55*o**2. What is p(y(r))? -220*r**2 Let u(h) = -2*h**2 + 10. Let q(m) = -57*m**2 + 304. Let s(w) = 5*q(w) - 152*u(w). Let g(p) = -2*p. Determine s(g(c)). 76*c**2 Let o(j) be the first derivative of -16*j**3/3 - 1123. Let d(g) be the second derivative of 2*g**3/3 - g. What is d(o(u))? -64*u**2 Let f be 27/(-54)*(1 - 29). Let x(u) = -9*u - 13*u + 35*u - f*u. Let m(d) = -9*d**2. What is m(x(l))? -9*l**2 Let x(d) be the second derivative of d**4/6 + 19*d. Let j(v) = -2*v**2 - 3*v + 239. Let n(o) = o**2 + 2*o - 234. Let a(k) = -2*j(k) - 3*n(k). What is a(x(p))? 4*p**4 + 224 Let r(b) = -309*b**2 - 39*b - 13. Let o(m) = 49*m**2 + 6*m + 2. Let a(w) = -39*o(w) - 6*r(w). Let k(u) = 4*u**2 + 8. Give k(a(q)). 12996*q**4 + 8 Let i(a) = -2*a + 36. Let r(t) = -53624*t. Calculate i(r(y)). 107248*y + 36 Let m(w) be the first derivative of -9*w**2 + 5*w + 9049. Let f(n) = 5*n**2. Calculate m(f(d)). -90*d**2 + 5 Let f(b) = -4*b**2 + 379. Let d(u) = 335*u - 5. Determine d(f(r)). -1340*r**2 + 126960 Let u(i) = 25 - 25 + i. Let n(t) = 16*t**2 - 4*t + 4. Let c(j) = 16*j**2 - 5*j + 5. Let p be 3/6*-4*(0 + 2). Let x(y) = p*c(y) + 5*n(y). Determine x(u(s)). 16*s**2 Let g(k) be the second derivative of 25*k**3/3 + 128*k + 37. Let b(z) be the third derivative of z**5/20 - 4*z**2. What is g(b(l))? 150*l**2 Let g(a) = 10174*a**2. Let j(m) = 38*m. Give j(g(t)). 386612*t**2 Let j(h) = -3*h**2. Let v(w) be the first derivative of 9*w**5/20 - 26*w**3 - 58. Let i(r) be the third derivative of v(r). Determine i(j(q)). -162*q**2 Let i(x) = -36775*x + 94. Let h(d) = 4*d. What is i(h(z))? -147100*z + 94 Let p(o) = 13*o**2. Suppose -30*i - 870 = -990. Let d(u) be the second derivative of 11*u + 1/6*u**i + 0 + 0*u**3 + 0*u**2. Calculate p(d(q)). 52*q**4 Suppose 6*w = 3*f + 4*w - 22, -f - 3*w = 11. Let u(g) = 7 + 8 - 32 + g + 12 + f. Let o(a) = a. Give o(u(n)). n - 1 Let g(f) = -3*f + 5. Let q be -2 - -5 - (-4 + 3). Let w(k) = -10 + 7*k - q*k + 2*k + 2. Let b(x) = 8*g(x) + 5*w(x). Let l(h) = 6*h. Give l(b(r)). 6*r Let m(w) be the third derivative of -3/20*w**5 + 2 + 0*w**3 + 26*w**2 - 1/24*w**4 + 0*w. Let x(f) = -f. Calculate m(x(r)). -9*r**2 + r Let j(i) = -3*i. Let m(f) = -290*f**2 - 71*f + 293*f**2 - 52*f. Calculate j(m(p)). -9*p**2 + 369*p Let j(v) = 2*v. Suppose -46 = -5*z - 1. Let n(t) = -9 + 1 + z. Let m(k) = -4*k**2 - 2. Let a(p) = -3*m(p) - 6*n(p). What is a(j(g))? 48*g**2 Let m(p) = -p. Let s(o) = -45144361*o. Calculate s(m(q)). 45144361*q Let g(d) = -5*d. Let s(t) = t. Let r(w) = -2*g(w) - 9*s(w). Let j(x) be the first derivative of 2 + 109/3*x**3 + 0*x**2 + 0*x. What is r(j(l))? 109*l**2 Let v(x) = -52308*x + 1 - 6 + 1 + 52297*x. Let m(o) be the first derivative of -o**2/2 - 1. Give m(v(s)). 11*s + 4 Let h(f) = -32*f**2 + 2*f. Let v(s) = -482*s - 188. Let t be v(-9). Let z(w) = -t*w + 3*w**2 + 4150*w. Give h(z(b)). -288*b**4 + 6*b**2 Let l(v) = 7*v**2 + 10. Let a(y) = 141*y**2 - 2*y - 5. Give a(l(w)). 6909*w**4 + 19726*w**2 + 14075 Let r(d) = 2*d**2. Let v(z) = -2*z**2 + 9*z - 27. Let u be v(7). Let s = 63 + u. Let t(l) = -s - 4 - 3*l + 4 + 4. Determine t(r(c)). -6*c**2 + 3 Let s(f) be the third derivative of 51*f + 0*f**3 + 0 + 1/20*f**5 + 1/24*f**4 + 2*f**2. Let o(h) = -h. Calculate s(o(t)). 3*t**2 - t Let c(i) = 6*i**2. Let z = -808 + 818. Let h(k) = -11*k - 3 + 3 - z*k + 13*k. What is c(h(m))? 384*m**2 Let q(p) = 1457955*p. Let n(l) = -5*l. Determine n(q(c)). -7289775*c Suppose 0 = 101*c + 31*c - 396. Let z(f) be the first derivative of 0*f**2 + 0*f - 2/3*f**c - 13. Let x(s) = 32*s. Determine z(x(u)). -2048*u**2 Let g(p) = -p. Let j(z) = 2614*z**2 - 752*z**2 - 1313*z**2 - 1223*z**2. Give j(g(x)). -674*x**2 Let d(z) = 0*z**2 + 0*z**2 + 1239 + 2*z**2 - 1239. Let k(s) = -1248*s**2. Determine k(d(a)). -4992*a**4 Let d(v) = 54*v. Let t(w) = 11*w. Let g(n) = -d(n) + 6*t(n). Let h(p) = 205*p. What is g(h(k))? 2460*k Let f(i) = 4995080*i. Let j(n) = -3*n**2. Calculate j(f(o)). -74852472619200*o**2 Let k(w) = -w. Let i(b) = -4324484*b**2. Give k(i(x)). 4324484*x**2 Let z(d) = 2*d**2. Let j(t) = 29*t + 2. Let g be j(-2). Let f = g - -64. Let p(o) = -9*o - 17*o + f*o. Determine p(z(b)). -36*b**2 Let i(q) = -19*q**2. Let h(y) = 17*y + 72. Let t(g) = -594*g - 2508. Let w(c) = -209*h(c) - 6*t(c). What is i(w(n))? -2299*n**2 Let a(s) = 33207*s. Let u(r) = 2684*r**2. Give u(a(i)). 2959659814716*i**2 Let s(p) = 7 + 7*p - 21 - 10 - 2*p. Let j be s(6). Let k(t) = -t + 3. Let w(x) = -6*x + 17. Let q(o) = j*w(o) - 34*k(o). Let u(g) = -31*g. Determine q(u(y)). 62*y Let t(f) = 1383*f. Let u(d) be the second derivative of d**4/6 + 1160*d. What is u(t(l))? 3825378*l**2 Let i(s) = -26*s**2 + 16150*s + 2. Let a(o) = -4*o**2. What is i(a(q))? -416*q**4 - 64600*q**2 + 2 Let o(k) = -k**2. Suppose -c - 15 = -5. Let q(j) = -j**2 - 15*j - 23. Let r be q(c). Let y(g) = r*g**2 - 15*g**2 + 11*g**2. What is y(o(x))? 23*x**4 Let t(r) = 635*r + 8. Let h(f) = -770*f. Determine t(h(n)). -488950*n + 8 Let w(r) = -2*r**2 + 390*r + 3. Let a(j) be the second derivative of -j**3/3 + 10145*j. What is w(a(h))? -8*h**2 - 780*h + 3 Let k(h) = 8401*h - 4206*h - 4192*h. Let c(j) = 13*j**2 - 2*j. Let p(m) = -1260*m**2 + 195*m. Let f(i) = 585*c(i) + 6*p(i). Give k(f(w)). 135*w**2 Let g(a) = 158*a - 156*a - 40 - 1 - 6 - 7. Let l(w) = 77*w**2. What is l(g(u))? 308*u**2 - 16632*u + 224532 Let t(c) = -4*c**2 + 68*c. Let d(l) = -52938*l. Give d(t(g)). 211752*g**2 - 3599784*g Let f(x) = -166*x. Let o(l) = -29*l + 29*l + 2*l + 22*l. Calculate f(o(h)). -3984*h Let h(p) = 5*p**2. Let
{ "pile_set_name": "DM Mathematics" }
116. Let i be l(29). Suppose 0*k + 0 - 2/5*k**4 + 4/5*k**3 + i*k**2 = 0. Calculate k. 0, 2 Let y = 1578/7 - 4717/21. Let t = 8/7 - y. Find u such that -4/3 - t*u**2 - 4/3*u = 0. -2 Let g(w) be the third derivative of -w**5/15 + 7*w**2. Factor g(y). -4*y**2 Let g = 18/503 - 5416/123235. Let w = 20/49 + g. Find h such that w*h - 4/5*h**4 + 0 + 0*h**3 + 4/5*h**2 - 2/5*h**5 = 0. -1, 0, 1 Suppose 4*w - w + 9 = 0. Let y(t) = 8*t**2 + 8*t + 4. Let l(p) = -p**3 + 9*p**2 + 9*p + 5. Let v(s) = w*y(s) + 2*l(s). Factor v(f). -2*(f + 1)**3 Factor 4*k**5 - 8*k**2 + 3*k**5 + 2*k + 5*k**4 - 9*k**3 + 3*k**2. k*(k - 1)*(k + 1)**2*(7*k - 2) Let w(h) be the second derivative of -h**7/98 - 3*h**6/70 - 3*h**5/70 + h**4/14 + 3*h**3/14 + 3*h**2/14 - 5*h. Solve w(j) = 0 for j. -1, 1 Let v(q) be the second derivative of -1/24*q**4 + 1/4*q**3 - 1/2*q**2 + 3*q + 0. Let v(b) = 0. Calculate b. 1, 2 Let t(q) be the second derivative of -q**4/4 + q**3/6 - 5*q. Factor t(p). -p*(3*p - 1) Let t(z) = -7*z + 42. Let m be t(6). Let k(x) be the second derivative of 0 + 0*x**3 - 1/25*x**5 - 1/75*x**6 + m*x**2 + x - 1/30*x**4. Factor k(q). -2*q**2*(q + 1)**2/5 Let l(s) be the third derivative of s**8/112 - s**6/40 + 5*s**2. Factor l(c). 3*c**3*(c - 1)*(c + 1) Suppose p = 2*p + 95. Let q = 477/5 + p. Factor q*x**3 + 0*x**2 + 0 + 0*x. 2*x**3/5 Let p(m) be the second derivative of -3*m + 0 + 1/21*m**3 - 1/7*m**2 + 1/42*m**4 - 1/70*m**5. Suppose p(f) = 0. Calculate f. -1, 1 Suppose 0 = 2*a - 13 - 7. Let s be (-5)/a + (-10)/(-12). Let s*r - 1/3*r**2 + 0 = 0. Calculate r. 0, 1 Let u(h) be the first derivative of -h**4/24 - h**3/6 - h**2/4 + h + 3. Let k(d) be the first derivative of u(d). Factor k(z). -(z + 1)**2/2 Suppose 0*o + 0 + 2/21*o**2 + 0*o**3 - 2/21*o**4 = 0. Calculate o. -1, 0, 1 Factor 7/3*k**2 - 3*k**3 + 2/3*k + 0. -k*(k - 1)*(9*k + 2)/3 Let x = 21 - 19. Suppose 64*i + 0*i**x + 4 - 60*i + i**2 = 0. Calculate i. -2 Suppose -14*f = -19*f. Factor 0*a + 2/9*a**2 - 4/9*a**3 + 2/9*a**4 + f. 2*a**2*(a - 1)**2/9 Let n(b) be the third derivative of -4*b**2 + 0 + 1/150*b**5 + 0*b + 1/15*b**3 - 1/30*b**4. Factor n(i). 2*(i - 1)**2/5 Let k(h) be the third derivative of h**5/12 - 5*h**4/2 + 30*h**3 + 2*h**2 + 2*h. Factor k(l). 5*(l - 6)**2 Let y(u) be the third derivative of -u**8/10080 + u**7/420 - u**6/40 + 3*u**5/20 + u**4/4 - 4*u**2. Let i(j) be the second derivative of y(j). Factor i(n). -2*(n - 3)**3/3 Factor 1/2*v**2 + 1/4*v**3 - 1/2 - 1/4*v. (v - 1)*(v + 1)*(v + 2)/4 Let u(m) be the third derivative of -1/945*m**7 + 0*m - 1/270*m**6 - m**2 - 1/270*m**5 + 0*m**4 + 0 + 0*m**3. What is w in u(w) = 0? -1, 0 Let p(q) be the first derivative of -5 - 1/9*q**3 - 1/6*q**2 + 2/3*q. Let p(b) = 0. What is b? -2, 1 Let f(v) be the first derivative of 4*v**2 - v - 4/3*v**3 - 2 + 1/6*v**4. Let x(t) be the first derivative of f(t). Factor x(y). 2*(y - 2)**2 Suppose -3*d - 2*p = -19, -2*d - 3*p + 30 = 3*d. Let r = d - 1. Factor -2/5*u + 2/5*u**3 - 2/5*u**r + 2/5. 2*(u - 1)**2*(u + 1)/5 Let d(z) = 2*z + 2. Let s be d(0). Factor 0*m - 2/3 + 2/3*m**s. 2*(m - 1)*(m + 1)/3 Factor -8*t - 8/3 - 4*t**3 - 2/3*t**4 - 26/3*t**2. -2*(t + 1)**2*(t + 2)**2/3 Let j(u) = -u**3 + 7*u**2 - u + 10. Let h be j(7). Let -2 + 20*x - 3 + 2 + 3*x**h - 14*x**2 - 5 = 0. What is x? 2/3, 2 Suppose 2*c = -81 + 85. Factor 6/5*b**c + 0*b + 3/5*b**5 + 0 + 0*b**4 - 9/5*b**3. 3*b**2*(b - 1)**2*(b + 2)/5 Let o(q) be the second derivative of q**7/14 + 3*q**6/2 + 9*q**5/2 - 95*q**4/2 + 225*q**3/2 - 243*q**2/2 + 35*q. Let o(n) = 0. Calculate n. -9, 1 Let q(f) be the second derivative of -f**7/84 - 11*f**6/180 - f**5/20 + f**4/6 + 2*f**3/9 + 15*f. Determine c, given that q(c) = 0. -2, -2/3, 0, 1 Let q(u) be the second derivative of u**4/78 + u**3/39 + 3*u. Factor q(g). 2*g*(g + 1)/13 Let z(m) = -m**5 - m**3 + m. Let p(v) = -6*v**5 - 2*v**3 + 2*v**2 + 5*v. Let w(i) = -3*p(i) + 15*z(i). Factor w(a). 3*a**2*(a - 2)*(a + 1)**2 Let h be 8/14 - 36/112. Factor -u - 1 - h*u**2. -(u + 2)**2/4 Factor -6*s**3 - 3*s**2 - 64 + 8*s**3 - 4*s**3 - 17*s**2 - 64*s. -2*(s + 2)*(s + 4)**2 Let f = -15 - -18. Factor -2*a + 1 + 0 - 3*a**f - a**4 + 5*a**3. -(a - 1)**3*(a + 1) Let k(d) be the third derivative of -d**8/120960 - d**7/15120 - d**6/4320 + 2*d**5/15 - 2*d**2. Let o(a) be the third derivative of k(a). Factor o(m). -(m + 1)**2/6 Let s be 2/(-9) + 145/45. Suppose 5*b - s*i - 22 = 0, b - 3*i - 8 = 6. Factor -j**b - j**3 + j - 2*j**4 + 2*j**4 + j**4. j*(j - 1)**2*(j + 1) Let w(r) be the first derivative of -r**4/2 + 2*r**3 - 2*r**2 + 11. Suppose w(q) = 0. What is q? 0, 1, 2 Let k(p) be the third derivative of 16/15*p**3 - 1/150*p**6 + 2/25*p**5 - 2/5*p**4 + 0*p - 4*p**2 + 0. Determine m, given that k(m) = 0. 2 Let i = 434 - 431. What is j in 0*j - 1/3*j**i + 2/3*j**2 + 0 = 0? 0, 2 Let u(j) be the third derivative of j**6/10 - j**5/15 - j**4/2 + 2*j**3/3 - 3*j**2. Find k, given that u(k) = 0. -1, 1/3, 1 Suppose 0 = 5*c - 5*w + 6*w - 12, -4*w = -4*c + 24. Solve 0 + 1/6*n**4 + 0*n + 1/2*n**c + 0*n**2 = 0 for n. -3, 0 Let v(l) = -l + 3*l**3 - 3 + 2*l**3 + 5*l**2 - 4*l**3. Let a be v(-5). Factor -4*u**a + 2*u**2 + 2*u + 4*u**2. 2*u*(u + 1) Suppose 2*v + 14 = 18. Suppose 5*o = v + 8. Solve 3/5*s - 2/5 - 1/5*s**o = 0 for s. 1, 2 Let f(i) be the first derivative of -25*i**3/3 - 105*i**2 - 80*i + 4. Factor f(n). -5*(n + 8)*(5*n + 2) Let r(l) be the second derivative of 2*l**3 - 6*l**2 + 0 - l - 1/4*l**4. Factor r(v). -3*(v - 2)**2 Suppose -z - 2*y = -3, 5*z = -y + 4*y + 15. Find t such that -t + 0*t**3 + 2*t**2 + 3*t**3 - t**z - 3*t**3 = 0. 0, 1 Let z(r) be the third derivative of r**7/5040 - r**5/240 + r**4/12 + 2*r**2. Let f(i) be the second derivative of z(i). Factor f(d). (d - 1)*(d + 1)/2 Let r be ((-3)/(-7))/(8/(-574)). Let m = r + 31. Determine h, given that -m*h**3 - h**2 - 1/2 - 5/4*h = 0. -2, -1 Let i(k) = -4*k**2 + 7*k - 1. Let d be (6 + -9)*1*-1. Let y(t) = 5*t**2 - 8*t. Let q(s) = d*y(s) + 4*i(s). Suppose q(a) = 0. What is a? 2 Let k = 94 + -753/8. Let u = 5/8 + k. Find m, given that 1/2*m**4 + u*m**2 + m**3 + 0 + 0*m = 0. -1, 0 Let u(f) = 4*f**3 - f**2. Suppose 0 = c - 0*c - 1. Let z be u(c). Solve -3*g**3 + g + 2*g**z + g + g**2 = 0. -1, 0, 2 Let x = -21 - -15. Let z = 8 + x. Determine k so that 14*k**z - 2 + 2 - 4*k = 0. 0, 2/7 Let x = 48/119 - 2/17. Let 0 - 5/7*v**2 - 4/7*v**3 - x*v - 1/7*v**4 = 0. Calculate v. -2, -1, 0 Let d(v) be the third derivative of -v**7/840 + v**6/480 + v**5/80 - v**4/96 - v**3/12 - 5*v**2. Determine w so that d(w) = 0. -1, 1, 2 Let d(q) be the first derivative of q**6/120 + q**2 - 2. Let x(s) be the second derivative of d(s). Find b, given that x(b) = 0. 0 Suppose -2*u + 9 = z, -5*u = -3*z - 8 + 2. Determine n so that 0 - 4/3*n**u + 2/9*n**2 + 4/9*n = 0. -1/2, 0, 2/3 Let h(g) be the first derivative of -g**6/720 - g**5/240 + g**4/24 + 2*g**3/3 + 4. Let z(n) be the third derivative of h(n). Find r such that z(r) = 0. -2, 1 Let y(h) be the first derivative of -3*h**4/4 - 2*h**3 + 3*h**2/2 + 6*h + 5. Factor y(v). -3*(v - 1)*(v + 1)*(v + 2) Suppose -4*x - 2*y = 12, -5*y - 10 = x - 8*y. Let s(c) = 4*c**2 - 3*c + 17. Let i(z) = -z**2 + z - 4. Let o(g) = x*s(g) - 18*i(g). Let o(b) = 0. Calculate b. 1, 2 Let w(u) be the second derivative of -u**5/30 - u**4/18 + 2*u**3/9 - 11*u. Solve w(z) = 0. -2, 0, 1 Let p(n) be the second derivative of -n**6/30 + n**5/10 + 7*n**4/12 - 10*n**3/3 + 6*n**2 - 22*n. Solve p(y) = 0. -3, 1, 2 Let l(i) be the first derivative of -i**6/72 + 2*i**5/45 - i**4/72 - i**3/9 + 4*i**2 - 4. Let m(o) be the second derivative of l(o). Factor m(f). -(f - 1)**2*(5*f + 2)/3 Let a(p) be the second derivative of p**4/48 - p**3/8 + p**2/4 + 4*p. Let a(z) = 0. Calculate z. 1, 2 Suppose -9 = -m - 2*m. Let u = 4 - m. Factor -u + 3*f + 2 - f**2 - 7*f + 4*f**3. (f - 1)*(f + 1)*(4*f - 1) Let l(a) be the first derivative of -1 + 25/6*a**4 + 16/15*a**5 - 4/3*a**2 - 7/3*a**6 - 16/9*a**3 + 0*a. Let l(u) = 0. Calculate u. -1, -2/7, 0, 2/3, 1 Let v(i) be the third derivative of i**8/90720 - i**7/3780 + i**6/360 + i**5/60 + 4*i**2. Let z(u) be the third derivative of v(u). Let z(y) = 0. What is y? 3 Let s(h) = -h**2 - h + 1. Let g(m) = m**2 - 9*m - 3. Let c(y) = 2*g(y) + 6*s(y). Determine i, given that c(i) = 0. -6, 0 Let c(
{ "pile_set_name": "DM Mathematics" }
ect the terms in -1233*o - o**2 - 3*o**2 + 615*o + 620*o. -4*o**2 + 2*o Collect the terms in u**3 - 44934891*u**2 + 44934891*u**2. u**3 Collect the terms in -51*y**3 - y**3 + 182*y - 182*y + 2*y**3. -50*y**3 Collect the terms in 118*i**3 + 1445 - 1445. 118*i**3 Collect the terms in 1 + 5467167238*s - 1 - 5467167240*s. -2*s Collect the terms in -562*w**2 - 23*w**3 - 3*w**3 + 34*w**3 - 9*w**3 + 562*w**2. -w**3 Collect the terms in -6*k**2 + 6423*k**3 + 6*k**2. 6423*k**3 Collect the terms in 0*w**3 + 4*w - 32*w + 4*w**3 + 0*w**3 - 2*w**3. 2*w**3 - 28*w Collect the terms in -233*v + 154*v - 498*v. -577*v Collect the terms in -30*m + 15*m - 5*m**2 + 9*m + 13*m. -5*m**2 + 7*m Collect the terms in 142400*z**2 + 142255*z**2 - 284654*z**2. z**2 Collect the terms in -52*t + 22*t**3 + 68*t - 16*t. 22*t**3 Collect the terms in -71863*h - 71859*h - 71861*h - 71862*h + 287443*h. -2*h Collect the terms in -159*a - 397*a + 141*a - 136*a. -551*a Collect the terms in 94*l**2 + 259*l**2 - 4*l**2. 349*l**2 Collect the terms in 8*t - 7 - 1 - 10 + 18. 8*t Collect the terms in -23*k**2 + 6*k**2 - 111*k**2. -128*k**2 Collect the terms in -188*s + 165*s - 51 + 42 - 145. -23*s - 154 Collect the terms in -2*b + 0*b - 8 + 0*b + 9*b - 8*b. -b - 8 Collect the terms in 116875*b**3 - 233738*b**3 + 116879*b**3. 16*b**3 Collect the terms in 362 + 381 - 1465 + 358 + 364 + 6*s**2. 6*s**2 Collect the terms in 12*r**3 + 4266955*r - 4266955*r. 12*r**3 Collect the terms in -2 + 13*k - 3*k + 150*k**3 - 525*k**3. -375*k**3 + 10*k - 2 Collect the terms in 15*a - 7*a - 10*a - 5*a + 1 + 2*a. -5*a + 1 Collect the terms in 176*j + 2 - 61*j - 93*j. 22*j + 2 Collect the terms in -2*v**3 - 677 - 76*v + 76*v + 1351 - 674. -2*v**3 Collect the terms in 262*m**3 - 14*m**2 - 20*m**3 + 377*m**3 - 78*m**3. 541*m**3 - 14*m**2 Collect the terms in 1464*x - 6299*x + 2071*x - 11166*x. -13930*x Collect the terms in 14*c - 29*c - 1242*c**2 + 1248*c**2 + 15*c. 6*c**2 Collect the terms in 8*u**3 + 290*u**2 - 5*u**3 - 15*u**3 - 290*u**2. -12*u**3 Collect the terms in -1397*o**3 - 74*o**2 - 2923*o**3 + 75*o**2. -4320*o**3 + o**2 Collect the terms in -596*t**3 + 736*t**3 - 203*t**3. -63*t**3 Collect the terms in -1654*g**2 + 543*g**2 + 551*g**2 + 4 - 4 + 561*g**2. g**2 Collect the terms in -63 + 275*f**3 - 273*f**3 + 63. 2*f**3 Collect the terms in -j**2 + 1999 + 1275 - 3274. -j**2 Collect the terms in 4 + 4*c**2 + 10 + 4*c**2 - c**2. 7*c**2 + 14 Collect the terms in 49985*q - 24897*q - 24878*q. 210*q Collect the terms in 99*a - 47*a - 467*a**2 - 52*a. -467*a**2 Collect the terms in t**2 - 5*t**2 - 11*t**3 + 33*t**3 - 6*t. 22*t**3 - 4*t**2 - 6*t Collect the terms in -197*a**2 + 96*a**2 + 102*a**2. a**2 Collect the terms in -270*s**2 + 268*s**2 + 9 - 46*s**3 - 9. -46*s**3 - 2*s**2 Collect the terms in 4*i**2 - 144*i - 3*i**2 + 55*i - 773*i. i**2 - 862*i Collect the terms in 1110*r**3 + 1106*r**3 - 2210*r**3. 6*r**3 Collect the terms in 295*p**2 - 62*p**2 - 62*p**2 - 112*p**2 - 60*p**2. -p**2 Collect the terms in 11*d + 10*d**2 + 51*d**3 - 11*d**2 + d**2. 51*d**3 + 11*d Collect the terms in -95 + 4*j + j + j - j. 5*j - 95 Collect the terms in 1335*w - 306*w + 818*w - 1. 1847*w - 1 Collect the terms in -43*v**2 - 2780 + 5560 - 2780. -43*v**2 Collect the terms in -50*u**2 + 9 + 12 + 46*u**2. -4*u**2 + 21 Collect the terms in 2492*s**3 - 2*s**2 + 1698*s**3 + 2*s**2. 4190*s**3 Collect the terms in -4009*d**2 - 1 + 3968*d**2 - 5. -41*d**2 - 6 Collect the terms in -1374*a**3 + 4104*a**3 - 1361*a**3 - 1367*a**3 - 4 + 4. 2*a**3 Collect the terms in 130*h**3 + 0*h + 0*h - 11 - 111*h**3. 19*h**3 - 11 Collect the terms in -2043*o**3 + 0*o - o + o + 4. -2043*o**3 + 4 Collect the terms in 23*s**2 - 10*s**2 - 51*s**2 + 34*s**2. -4*s**2 Collect the terms in 488*q**2 + 491*q**2 - 4 + 490*q**2 - 1460*q**2. 9*q**2 - 4 Collect the terms in 50*b**3 - 40*b**3 + 39*b - 3*b**3 - 9*b**3. -2*b**3 + 39*b Collect the terms in -383*x + 543*x - 156*x. 4*x Collect the terms in -4*x**2 + 14*x**2 - 3*x + 5 + 8*x**2 + 2*x**2. 20*x**2 - 3*x + 5 Collect the terms in 26919 + 2*t**2 - 13435 - 13484. 2*t**2 Collect the terms in 79*a + 78*a + 77*a - 405*a + 78*a + 89*a. -4*a Collect the terms in 306*m + 468*m - 88*m. 686*m Collect the terms in -3413 + 3413 + 3*h. 3*h Collect the terms in -k**3 + 495455370*k - 2*k**2 - 495455370*k. -k**3 - 2*k**2 Collect the terms in -31*r + 6*r**3 + 94*r - 63*r. 6*r**3 Collect the terms in -66*y - 1322*y**3 + 40*y + 26*y. -1322*y**3 Collect the terms in -943*y**2 + 34308 - 34308. -943*y**2 Collect the terms in -401*x**2 - 30*x**2 - 227*x**2 - 26*x**2. -684*x**2 Collect the terms in 11*o**3 + 710546*o**2 - 710546*o**2. 11*o**3 Collect the terms in 0 - 241*q**2 - 34*q + 35*q + 0 - q**3. -q**3 - 241*q**2 + q Collect the terms in -6*m**2 + 0*m**3 + 2*m**3 - 76*m**2 - 86*m**2. 2*m**3 - 168*m**2 Collect the terms in 32894*f - 32894*f + 3*f**2. 3*f**2 Collect the terms in 124*s + 55*s + 179*s + 2 + 264*s. 622*s + 2 Collect the terms in -95*b + 228*b + 185*b. 318*b Collect the terms in -400*p**2 + 623 - 623. -400*p**2 Collect the terms in -4105*a**2 + 8706*a**2 - 4598*a**2. 3*a**2 Collect the terms in 5*g**2 - 1 + 1 - 4*g**2 + 10*g**2. 11*g**2 Collect the terms in 4415*d + 4418*d - 8835*d. -2*d Collect the terms in -q**2 + 24229*q - 24229*q. -q**2 Collect the terms in -2*c + 474*c**3 - 2352*c**3 + 3*c - c. -1878*c**3 Collect the terms in -191 - 3*t**3 - 5*t**2 + t**3 - 2*t**2 + t**2. -2*t**3 - 6*t**2 - 191 Collect the terms in 0 + 0 - 89*l**2 - 7 + 5. -89*l**2 - 2 Collect the terms in -18*x**3 + 231*x + 15*x**3 + 35*x. -3*x**3 + 266*x Collect the terms in -2*u**2 - 855010*u + 855010*u. -2*u**2 Collect the terms in -103534*v - 7 + 103737*v + 7. 203*v Collect the terms in 318*d - 1585*d + 317*d + 311*d + 313*d + 325*d. -d Collect the terms in 9*a + 23*a**3 - 5*a - 14*a - 2*a**2 - 28*a. 23*a**3 - 2*a**2 - 38*a Collect the terms in 3*p**2 - 2*p**2 + 34*p + 33*p**3 - p**2 - 31*p. 33*p**3 + 3*p Collect the terms in -143*c + 50*c + 21*c + 45*c + 8*c**3. 8*c**3 - 27*c Collect the terms in -3*n - 139 + 4*n + 0*n + 1006. n + 867 Collect the terms in 151*m**2 + 3*m - 3*m - 315*m**2 + 153*m**2. -11*m**2 Collect the terms in -705*l**2 + 3*l**3 + 1423*l**2 - 718*l**2. 3*l**3 Collect the terms in 5*r**3 - 11*r**3 + 8*r**3 - r**3 + 2*r**3. 3*r**3 Collect the terms in 56 - 138 + 20 + 27 - 2*x**3 + 35. -2*x**3 Collect the terms in -56*n**3 - 26*n**3 - 10*n**3. -92*n**3 Collect the terms in -49467095*g**2 + 1 + 49467217*g**2 - 1. 122*g**2 Collect the terms in 23*a - 38 + 18 - 46*a + 20 + 19*a. -4*a Collect the terms in 0*y**2 + 4*y + 9*y**2 - 7*y**2 - 7*y**2 - y**2. -6*y**2 + 4*y Collect the terms in 21 - 12*v - 13*v - 14*v + 17 + 49*v. 10*v + 38 Collect the terms in -37*x**3 + 30*x**3 - 136*x**3 - 210*x**3. -353*x**3 Collect the terms in -607 - 11 - 4*x + 202 - 302. -4*x - 718 Collect the terms in -5411*q + 5411*q - 9*q**2 - 12*q**2 + 10*q**2 - 12*q**2. -23*q**2 Collect the terms in -43*v**2 + 30*v**2 + 57*v**2 + 189*v**2. 233*v**2 Collect the terms in -11*t**3 + 25*t**3 - 8*t**3 - 11*t**3 - 7*t**3 + 11*t**3. -t**3 Collect the terms in 885*w**3 - 24 + 852*w**3 - 1736*w**3. w**3 - 24 Collect the terms in -48*p**3 + 8119*p**3 - 208*p**3. 7863*p**3 Collect the terms in -11 + 11 + 121883*r. 121883*r Collect the terms in -z**2 + 28*z**3 - 35*z**3 - 405 + 405. -7*z**3 - z**2 Collect the terms in 289*x**3 + 933*x**3 + 502*x**3. 1724*x**3 Collect the terms in 341*r**3 - 198*r**3 - 136*r**3. 7*r**3 Collect the terms in 29*f**3 - 19860 + 19860. 29*f**3 Collect the terms in -1367 + 2*t + 513 + 846. 2*t - 8 Collect the terms in 10*w + 11*w + 12*w - 2*w - 36*w. -5*w Collect the terms in 235554 + 5*w - 9*w - 235554. -4*w Collect the terms in 210*z**2 - 49*z - 54*z - 52*z + 155*z. 210*z**2 Collect the terms in -247*v - 295*v - 84*v - 174*v - 1 + 177*v. -623*v - 1 Collect the terms in -30 - 38 + 4*q - 97. 4*q - 165 Collect the terms in 1490*k - 4467*k + 1485*k + 1486*k. -6*k Collect the terms in -36*l**3 + 59701*l - 59701*l. -36*l**3 Collect the terms in 52*q + 44*q + 55*q - 94*q. 57*q Collect the terms in -q**3 + 4*q**3 + 2*q**3 + 4*q**3. 9*q**3 Collect the terms in 6*h**3 + 268*h - 2*h**3 - 813*h + 269*h + 276*h. 4*h**3 Collect the terms in h**3 - 61*
{ "pile_set_name": "DM Mathematics" }
472. (s - 92)*(s - 4)**2 Factor 4*n**4 + 236*n**3 + 232*n**2. 4*n**2*(n + 1)*(n + 58) Factor 10*v**2 + 154*v/3 + 20/3. 2*(v + 5)*(15*v + 2)/3 Factor -s**5 + 12*s**4 + 43*s**3 + 30*s**2. -s**2*(s - 15)*(s + 1)*(s + 2) Let 5*b**3 - 45*b**2 + 70*b = 0. Calculate b. 0, 2, 7 Solve -4*t**3/5 - 12*t**2 - 152*t/5 - 96/5 = 0. -12, -2, -1 Find d such that -2*d**4/7 - 162*d**3/7 + 72*d**2 = 0. -84, 0, 3 Suppose 8*b**2 - 10*b/3 + 2/9 = 0. What is b? 1/12, 1/3 Solve l**5/9 + 4*l**4/9 - 16*l**2/9 - 16*l/9 = 0 for l. -2, 0, 2 Determine g so that 2*g**5/9 + 10*g**4/9 + 2*g**3 + 14*g**2/9 + 4*g/9 = 0. -2, -1, 0 Factor -2*d**2 + 1456*d - 264992. -2*(d - 364)**2 Suppose -3*h**4 - 363*h**3 - 336*h**2 + 2916*h + 4320 = 0. What is h? -120, -2, 3 Solve -3*m**2/2 - 63*m/2 - 81 = 0. -18, -3 Solve 2*o**4/7 - 4*o**2/7 + 2/7 = 0 for o. -1, 1 Factor t**4/7 - 4*t**3/7 - 18*t**2/7 - 20*t/7 - 1. (t - 7)*(t + 1)**3/7 Suppose 5*d**4 + 10*d**3 - 215*d**2 + 260*d + 480 = 0. What is d? -8, -1, 3, 4 Suppose 2*a**5 + 18*a**4 - 50*a**3 - 58*a**2 + 96*a + 88 = 0. Calculate a. -11, -1, 2 Determine i so that 45*i**2/2 - 425*i/2 - 125 = 0. -5/9, 10 Factor 5*h**4 + 30*h**3 - 15*h**2 - 100*h - 60. 5*(h - 2)*(h + 1)**2*(h + 6) Determine w so that -3*w**5 - 78*w**4 - 303*w**3 + 2148*w**2 - 3060*w + 1296 = 0. -18, -12, 1, 2 Find l, given that -2*l**4/3 + 34*l**3/3 - 10*l**2 - 34*l/3 + 32/3 = 0. -1, 1, 16 Let -x**4 + 39*x**3 + 40*x**2 = 0. Calculate x. -1, 0, 40 Factor -m**4/6 + 4*m**3/3 + 19*m**2/6 + 5*m/3. -m*(m - 10)*(m + 1)**2/6 Let -3*m**3 + 831*m**2 + 834*m = 0. What is m? -1, 0, 278 Find g such that -5*g**3 - 400*g**2 - 9360*g - 51840 = 0. -36, -8 Factor 3*f**3 + 9*f**2 + 6*f. 3*f*(f + 1)*(f + 2) Let x**5/5 + 13*x**4/5 + 16*x**3/5 - 188*x**2/5 + 64*x/5 + 256/5 = 0. What is x? -8, -1, 2 Factor 4*q**3/7 - 6*q**2 + 18*q/7 + 20/7. 2*(q - 10)*(q - 1)*(2*q + 1)/7 Factor 2*o**2 - 46*o + 264. 2*(o - 12)*(o - 11) Determine m so that 4*m**4 + 98*m**3 + 228*m**2 + 178*m + 44 = 0. -22, -1, -1/2 Factor -c**5 - 122*c**4 - 3340*c**3 + 23048*c**2 - 48128*c + 32768. -(c - 2)**3*(c + 64)**2 Find i such that -5*i**2 - 275*i + 1180 = 0. -59, 4 Solve -2*w**5/7 - 1392*w**4/7 + 1396*w**3/7 + 1392*w**2/7 - 1394*w/7 = 0. -697, -1, 0, 1 Suppose u**5/3 + u**4/3 - u**3/3 - u**2/3 = 0. What is u? -1, 0, 1 Factor -25*g**4 + 3260*g**3 - 106925*g**2 + 42250*g. -5*g*(g - 65)**2*(5*g - 2) Solve m**5/7 - 9*m**4/7 + m**3 + 9*m**2/7 - 8*m/7 = 0. -1, 0, 1, 8 Let -4*z**4 + 8*z**3 + 44*z**2 - 48*z = 0. What is z? -3, 0, 1, 4 Determine g, given that -4*g**4/3 + 148*g**3/3 = 0. 0, 37 Solve g**3/5 + 66*g**2 = 0. -330, 0 What is m in m**4/3 - 2*m**3/3 - m**2 = 0? -1, 0, 3 What is v in -v**5 - 30*v**4 - 28*v**3 + 30*v**2 + 29*v = 0? -29, -1, 0, 1 Factor -6*m**3 - 639*m**2 - 1566*m - 624. -3*(m + 2)*(m + 104)*(2*m + 1) Solve 2*x**5 + 24*x**4 + 38*x**3 - 24*x**2 - 40*x = 0. -10, -2, -1, 0, 1 Solve -2*j**2/7 - 78*j/7 - 148/7 = 0 for j. -37, -2 Determine x so that -6*x**5/17 + 548*x**4/17 - 12314*x**3/17 - 9756*x**2/17 + 29992*x/17 - 8464/17 = 0. -2, 1/3, 1, 46 Factor 3*w**2 + 27*w + 24. 3*(w + 1)*(w + 8) Solve -2*t**4/15 + 34*t**3/15 - 62*t**2/15 + 2*t = 0 for t. 0, 1, 15 Let b**5 - 10*b**4 + 33*b**3 - 40*b**2 + 16*b = 0. Calculate b. 0, 1, 4 Find z, given that -4*z**3 + 100*z**2 + 484*z - 580 = 0. -5, 1, 29 Suppose 2*w**4 - 138*w**3 + 1078*w**2 + 138*w - 1080 = 0. Calculate w. -1, 1, 9, 60 Let 5*l**3/4 - 75*l**2/4 - 185*l - 165 = 0. What is l? -6, -1, 22 Determine m, given that -3*m**2 + 3 = 0. -1, 1 Factor -s**3/3 - 23*s**2/3 - 22*s/3. -s*(s + 1)*(s + 22)/3 Factor 5*u**3/2 - 815*u**2/2 + 1615*u/2 - 805/2. 5*(u - 161)*(u - 1)**2/2 Suppose 2*h**5 - 28*h**4 + 144*h**3 - 324*h**2 + 270*h = 0. What is h? 0, 3, 5 Solve 2*i**3 - 12*i**2 + 10*i + 24 = 0 for i. -1, 3, 4 Find o such that -5*o**5/2 - 43*o**4/6 + 7*o**3/2 + 43*o**2/6 - o = 0. -3, -1, 0, 2/15, 1 Factor -g**2/7 - 18*g/7 - 32/7. -(g + 2)*(g + 16)/7 Factor p**4/4 + 3*p**3 - 3*p**2/4 - 19*p/2 - 6. (p - 2)*(p + 1)**2*(p + 12)/4 Factor -2*w**2/5 + 108*w/5 + 592. -2*(w - 74)*(w + 20)/5 Factor 2*z**3 - 138*z**2 - 140*z. 2*z*(z - 70)*(z + 1) Determine i so that -2*i**4/15 + 16*i**3/3 - 160*i**2/3 = 0. 0, 20 Let 9*g**5/8 - 15*g**4 + 42*g**3 - 189*g**2/4 + 183*g/8 - 15/4 = 0. Calculate g. 1/3, 1, 10 Factor 2*n**3 + 114*n**2 - 8*n - 456. 2*(n - 2)*(n + 2)*(n + 57) Factor -w**2 - 371*w - 1104. -(w + 3)*(w + 368) Let -4*z**2/7 + 72*z/7 - 128/7 = 0. What is z? 2, 16 Find b such that 147*b**2 + 66864*b + 7603392 = 0. -1592/7 Find w such that w**2/2 - 53*w/6 - 3 = 0. -1/3, 18 Factor 2*w**5 - 10*w**4 - 16*w**3 + 24*w**2. 2*w**2*(w - 6)*(w - 1)*(w + 2) Factor -4*u**2 + 100*u - 96. -4*(u - 24)*(u - 1) Suppose 2*d**5/3 + 20*d**4/3 + 24*d**3 + 116*d**2/3 + 86*d/3 + 8 = 0. Calculate d. -4, -3, -1 Factor j**2 - j - 72. (j - 9)*(j + 8) Let -5*b**4/2 - 270*b**3 - 1065*b**2/2 - 265*b = 0. What is b? -106, -1, 0 Solve -c**2 + 9594*c - 23011209 = 0 for c. 4797 Factor -m**2/4 + 929*m/4 + 931/2. -(m - 931)*(m + 2)/4 Determine u so that 6*u**5/19 + 1642*u**4/19 + 113688*u**3/19 + 182776*u**2/19 - 150144*u/19 - 147968/19 = 0. -136, -2, -2/3, 1 Factor 2*x**3/7 + 10*x**2/7 - 64*x/7 + 72/7. 2*(x - 2)**2*(x + 9)/7 Solve -2*s**3 - 200*s**2 + 2158*s - 4620 = 0. -110, 3, 7 Factor -d**3/2 - 9*d**2/2 + 54. -(d - 3)*(d + 6)**2/2 Let -2*q**2/3 + 11*q/3 - 5 = 0. What is q? 5/2, 3 Factor 5*l**4 + 5*l**3 - 165*l**2 + 315*l. 5*l*(l - 3)**2*(l + 7) Factor -18*v**2 + 326*v + 1092. -2*(v - 21)*(9*v + 26) Factor s**2 - 516*s + 66564. (s - 258)**2 Solve 3*x**2/2 - 54*x + 192 = 0. 4, 32 Factor 2*m**4/23 + 8*m**3/23 - 6*m**2/23 - 36*m/23. 2*m*(m - 2)*(m + 3)**2/23 Factor 5*w**4 + 370*w**3 - 2355*w**2 + 3580*w - 1600. 5*(w - 4)*(w - 1)**2*(w + 80) Factor f**2 - 66*f + 128. (f - 64)*(f - 2) Factor h**2/9 + 184*h/9 + 61/3. (h + 1)*(h + 183)/9 Solve -g**4 - 14*g**3 - 72*g**2 - 162*g - 135 = 0. -5, -3 Solve -1008*w**5 + 2496*w**4 + 4148*w**3 - 8484*w**2 + 2440*w - 192 = 0. -2, 1/6, 8/7, 3 Factor 3*t**2/8 + 3*t - 15/2. 3*(t - 2)*(t + 10)/8 Factor 21*v**2 - 132*v + 36. 3*(v - 6)*(7*v - 2) Factor m**5/6 + m**4/2 - 5*m**3/6 - m**2/2 + 2*m/3. m*(m - 1)**2*(m + 1)*(m + 4)/6 Factor -q**4/4 - 29*q**3/4 - 297*q**2/4 - 1215*q/4 - 729/2. -(q + 2)*(q + 9)**3/4 Find z, given that 5*z**4 + 1010*z**3 - 2035*z**2 + 1020*z = 0. -204, 0, 1 Factor 5*g**5 - 25*g**4 + 45*g**3 - 35*g**2 + 10*g. 5*g*(g - 2)*(g - 1)**3 Factor v**2/2 - 77*v/2. v*(v - 77)/2 Solve -2*f**5/9 + 36*f**4 - 13756*f**3/9 + 51512*f**2/9 - 21014*f/3 + 24964/9 = 0 for f. 1, 2, 79 Determine s so that 3*s**3 + 18*s**2 - 27*s - 42 = 0. -7, -1, 2 Find x, given that -x**5 + 113*x**4 - 333*x**3 + 331*x**2 - 110*x = 0. 0, 1, 110 Factor u**3/3 + 4*u**2/3 - 16*u/3 - 64/3. (u - 4)*(u + 4)**2/3 Factor -2*r**3/3 - 30*r**2 - 88*r/3. -2*r*(r + 1)*(r + 44)/3 Factor -6*p**3/11 - 330*p**2 + 3636*p/11. -6*p*(p - 1)*(p + 606)/11 Find u such that -2*u**4/21 + 2*u**3/7 + 8*u**2/21 - 8*u/7 = 0. -2, 0, 2, 3 Factor -3*v**3/4 + 6*v**2 - 15*v/4 - 21/2. -3*(v - 7)*(v - 2)*(v + 1)/4 Solve n**2/3 - 7*n/3 - 8/3 = 0. -1, 8 Find k, given that -4*k**5 - 4*k**4 + 48*k**3 + 112*k**2 + 64*k = 0. -2, -1, 0, 4 Factor -2*x**2 - 60*x + 128. -2*(x - 2)*(x + 32) Factor 2*h**2/3 + 8*h/3 + 8/3. 2*(h + 2)**2/3 Factor -p**4/3 + 2*p**3 + 39*p**2 + 90*p. -p*(p - 15)*(p + 3)*(p + 6)/3 What is b in b**2 + 822*b + 168921 = 0? -411 Factor -2*j**2/7 - 200*j/7 - 582/7. -2*(j + 3)*(j + 97)/7 Suppose 15*p**4 + 190*p**3 + 840*p**2 + 1440*p + 640 = 0. Calculate p. -4, -2/3 What is n in -2*n**2/7 - 2*n/7 + 12/7 = 0? -3, 2 Let 5*q**2 + 1890*q + 3760 = 0. Calculate q. -376, -2 Determine v so that -v**5/4 + 39*v**4/4 - 355*v**3/4 - 603*v**2/4 + 530*v - 300 = 0. -3, 1, 20 Determine d, given that 60*d**4 - 427*d**3 + 407*d**2 - 28*d - 12 = 0. -2/15, 1/4, 1, 6 Determine g so that 4*g**5/7 + 256*g**4/7 + 36*g**3 = 0. -63, -1, 0 Determine y, given that y**3/7 - 18*y**2/7 - 88*y/7 = 0. -4, 0, 22 Suppose 4*v**2/9 - 152*v/9 = 0. What is v? 0, 38 Solve 3*o**2 + 438*o + 435 = 0. -145, -1 Factor -5*g**5 + 80*g**3 - 190*g**2 + 165*g - 50. -5*(g - 2)*(g - 1)**3*(g + 5) Find b such that b**5/2 - 27*b**4 + 195*b**3/2 + 125*b**2 = 0. -1, 0, 5, 50 Factor -2*w**2/11 + 1466*w/11 + 2940/11. -2*(w - 735)*(w + 2)/11 Suppose -f**2/6 + 1445*f/3 + 2891/6 = 0. What is
{ "pile_set_name": "DM Mathematics" }
2*u**2 + 3*l**2 - 9*l + 2*u**2 - u wrt l. -24*l**2*u**2 - 2*u**2 + 6 What is the third derivative of -1832*b**2*o**3 - 16*b**2*o**2 + 2*o**2 + 2 wrt o? -10992*b**2 What is the third derivative of s**3*y**4 + 2*s**3*y**2 + s**2*y**2 + 133*s**2 - 163*y**4 wrt y? 24*s**3*y - 3912*y What is the second derivative of 2388*g**3 + g**2 - 8877*g wrt g? 14328*g + 2 What is the third derivative of -12*q**2*t**3*u**2 + 25*q**2*t**3 + q**2*t**2*u**2 + 24*q**2*t**2*u - 2*q**2*u wrt t? -72*q**2*u**2 + 150*q**2 What is the second derivative of -53*q**3 - 21*q**2 + 2902*q? -318*q - 42 Find the third derivative of 9295*i**3*w - 5*i**2*w - 8*i*w - 6*w + 2 wrt i. 55770*w Differentiate -374*s + 370. -374 What is the third derivative of -2*v**4 - 1382*v**3 + 1630*v**2? -48*v - 8292 Differentiate -138*t - 339 wrt t. -138 What is the second derivative of 13*p**3 - 4*p**2 - 233*p? 78*p - 8 What is the second derivative of -901*a**4 - 2*a - 209? -10812*a**2 Find the first derivative of -99*u - 18 wrt u. -99 Find the second derivative of 304*j**4*t + j**3 + j**2*t + j*t + 5984*j - 1 wrt j. 3648*j**2*t + 6*j + 2*t Find the second derivative of -35*z**5 - 2456*z. -700*z**3 Find the second derivative of -173*g**2*x**3 + 2*g*x + 14*x**3 wrt g. -346*x**3 Find the second derivative of -l**5*x + 442*l**4*x + 592*l*x - 3*l wrt l. -20*l**3*x + 5304*l**2*x What is the first derivative of -235*d**3 - 178 wrt d? -705*d**2 Find the second derivative of o**5 + 240*o**3 - 8*o**2 - o - 3179 wrt o. 20*o**3 + 1440*o - 16 What is the second derivative of 42*c**4*n**2 + 2*c**2*n**3 + 2*c*n**3 + 2*c*n**2 + 20*c*n wrt c? 504*c**2*n**2 + 4*n**3 What is the third derivative of 106*c**4*p - 17*c**3*p + 2*c**2*p + 12*c**2 - 5*c wrt c? 2544*c*p - 102*p Find the third derivative of -5171*j**6 + 2*j**2 - j + 22 wrt j. -620520*j**3 What is the third derivative of 2*k**3*n*q**2*s + 4*k**3*n*q - 7*k**3*q**2 + k**2*n + k*n*q**2 + 30*k*n*s - k*s wrt k? 12*n*q**2*s + 24*n*q - 42*q**2 Find the third derivative of 36*o**4 - 11*o**3 - o**2 + 419*o wrt o. 864*o - 66 What is the derivative of -1874*g + 1087? -1874 What is the third derivative of -6*w**3*y**4 - 3*w**3 + 14*w**2*y**4 + 45*y**2 wrt y? -144*w**3*y + 336*w**2*y Find the second derivative of -64*b**2*f**3 + b*f**3 + 4*b*f + 5*f**3 + 48*f wrt b. -128*f**3 Differentiate k*l*r**2*v + 3*k*l*v + 3*k*r*v - 2*k - 371*l - 160*r**2 with respect to r. 2*k*l*r*v + 3*k*v - 320*r Find the first derivative of -10*f*p + 78*f - 225*p + 56 wrt p. -10*f - 225 What is the second derivative of p*s*u + 2*p*u**3 - p*u + 31*p - 2*s*u**3 - 3*s*u - 108*u**4 wrt u? 12*p*u - 12*s*u - 1296*u**2 Find the third derivative of c*s**5 + 105*c*s + 53*s**6 - 5*s**2 wrt s. 60*c*s**2 + 6360*s**3 Find the first derivative of -2*h**2 + 149*h - 309 wrt h. -4*h + 149 What is the derivative of -3613*z**2 - 35 wrt z? -7226*z Find the second derivative of -26*c*x**2*z - 6*c*x*z**3 - 2*c*x*z**2 + 11*x**2*z**3 - 20*x*z - 3*z wrt x. -52*c*z + 22*z**3 What is the third derivative of -37*q**4 + q**3 - 3*q**2 - 76? -888*q + 6 Differentiate -31*b**3*y - 328*b**3 - 7*b**2*y**2 wrt y. -31*b**3 - 14*b**2*y Find the third derivative of 24*d**3*u**3 - d**3*u**2 - 6*d**2*u**3 + 226*d*u**2 wrt u. 144*d**3 - 36*d**2 Find the third derivative of -2*u**4 + 783*u**3 + 2*u**2 + 2*u + 115. -48*u + 4698 Find the third derivative of 19540*t**5 + 41*t**2 - 78*t wrt t. 1172400*t**2 Find the third derivative of 17*p**6 - p**4 + 146*p**2 wrt p. 2040*p**3 - 24*p Find the third derivative of 3*d**3*k**3*r**2 + 3*d**3*k**3*r - d**3*k**2*r + d**3*k*r**2 - 18*d**3*k wrt k. 18*d**3*r**2 + 18*d**3*r Find the second derivative of -3*g**4 + 491*g**3 - g**2 - 2495*g wrt g. -36*g**2 + 2946*g - 2 Find the third derivative of 5140*k**5 - 4220*k**2 + 1. 308400*k**2 Find the third derivative of 6*m**5 - 2*m**3 - 313*m**2. 360*m**2 - 12 What is the derivative of 5064*h - 1721? 5064 What is the second derivative of 5*a*h**2 + a - 822*h**2 - 668*h wrt h? 10*a - 1644 What is the second derivative of -61*b**2*o**2 - 2*b**2 - 5*b*o**2 + 6*b*o - 2*o**2 wrt b? -122*o**2 - 4 What is the second derivative of -2*f**2*h*n**2*z + 10*f**2*h*z - 14*f**2*n*z - 4*f*n**2*z + 5*f*n**2 - 4*h*n**2*z - 2*h*z wrt f? -4*h*n**2*z + 20*h*z - 28*n*z What is the first derivative of -42*u**2 - u - 603 wrt u? -84*u - 1 What is the first derivative of 873*h**2 + 269? 1746*h Differentiate 15*n**4 - 12*n**3 - 31 wrt n. 60*n**3 - 36*n**2 What is the third derivative of -222*m**3*y - 3*m**2*y - m**2 + 11*y wrt m? -1332*y What is the third derivative of 4249*w**6 + 12272*w**2? 509880*w**3 Find the first derivative of 3517*k**2*s**3 + k**2*s**2 + 3*s**3 + 929*s wrt k. 7034*k*s**3 + 2*k*s**2 Find the second derivative of 298*m**5 - m - 149. 5960*m**3 Find the second derivative of -9100*h**2 + 5112*h. -18200 What is the derivative of -8*h*w**2*x + 2*h*w**2 + 269*h*w*x**2 + h*x + 283 wrt x? -8*h*w**2 + 538*h*w*x + h What is the second derivative of -259*r**2 - r + 182? -518 Find the third derivative of 422*o**4 - 9*o**2 - 3 wrt o. 10128*o What is the third derivative of 2*h*r**3*w**3 - 2*h*r**3*w**2 - 66*h*r**2*w**3 - 9057*h*r*w**2 + 21*h*w**3 + w wrt w? 12*h*r**3 - 396*h*r**2 + 126*h Find the second derivative of 3*i**5 + 56*i**4 + 9*i**3 + 867*i - 4 wrt i. 60*i**3 + 672*i**2 + 54*i Find the third derivative of b**3*v**2 - 1262*b**3 - 2*b**2*v**2 - 1859*b**2*v wrt b. 6*v**2 - 7572 Find the second derivative of -11*d**3*y + 4*d**2*y - 1099*d*y wrt d. -66*d*y + 8*y Find the second derivative of 15*o**2*y**5 + 212*o**2 + 9*o*y**5 - 2*o - 2*y wrt y. 300*o**2*y**3 + 180*o*y**3 Find the second derivative of 7*j**2*s*x**2 - 3*j**2*x**2 + j**2*x + 2*j**2 + 249*j*s*x - 16*x**2 wrt x. 14*j**2*s - 6*j**2 - 32 Find the first derivative of 1601*r*v**2 + 650*v**2 wrt r. 1601*v**2 What is the derivative of 760*n - 824 wrt n? 760 Differentiate -50*s**3 - 3*s**2 + 1728 wrt s. -150*s**2 - 6*s What is the second derivative of 2119*i**2 + 672*i? 4238 Find the second derivative of -n**2*t**2*z + 4*n**2*t*z + 17*n**2*z**3 + 2*n*t**3*z**4 - 2*n*t**3*z - 4*n*t*z wrt z. 102*n**2*z + 24*n*t**3*z**2 What is the third derivative of 5142*n**3 - 8950*n**2 wrt n? 30852 Find the second derivative of -h**3 - 251*h**2 - 2*h - 266 wrt h. -6*h - 502 Find the second derivative of -230*s**3 - 2*s - 60. -1380*s Find the second derivative of -98*c**5 - 4*c**2 - 1472*c. -1960*c**3 - 8 Find the third derivative of 14*n**6 + 16*n**3 - 8*n**2 - 3 wrt n. 1680*n**3 + 96 Find the third derivative of -32*h**3*r**6 + 2*h**3*r**3 + 8*h**3*r + 10*r**2 wrt r. -3840*h**3*r**3 + 12*h**3 Find the first derivative of 4*k**3 + 7*k**2*n + 3*k - 119*n wrt k. 12*k**2 + 14*k*n + 3 What is the second derivative of 2227*s**3 + s**2 + 2735*s wrt s? 13362*s + 2 What is the second derivative of -2*n**3*s**2 + 7*n**3*s - 6*n**3 - 152*n**2*s**3 + 2*n**2*s**2 - 2 wrt s? -4*n**3 - 912*n**2*s + 4*n**2 Find the third derivative of -1126*w**5 - 396*w**2. -67560*w**2 Find the third derivative of -4197*g**5*j - g**3*j**3 + 11*g**2*j**2 - 16*j**3 wrt g. -251820*g**2*j - 6*j**3 Find the second derivative of -40*o**3*p**3 + o**3*p + 3*o**2*p**3 - 24*o*p**3 + 2*o*p**2 - 13*o*p wrt o. -240*o*p**3 + 6*o*p + 6*p**3 What is the first derivative of -5503*u - 8561? -5503 What is the third derivative of -2348*d**6*j - d**4*j + d**2 - 57*d*j - 20 wrt d? -281760*d**3*j - 24*d*j Differentiate -15784*z**4 - 9307. -63136*z**3 Differentiate -8*m**2*s - 9988*m**2 - 26*m*s + 3*s with respect to s. -8*m**2 - 26*m + 3 What is the third derivative of 476*f**3 - 125*f**2? 2856 Differentiate -2*b*f*l**2*q - 2*b*f*l*q - 11*b*l*q - 8*f*l**2 + 2*f*l + 3*f*q wrt b. -2*f*l**2*q - 2*f*l*q - 11*l*q Differentiate -4317*y**3 + 1385 with respect to y. -12951*y**2 What is the third derivative of -5*s**4 - 330*s**3 + 68*s**2 + 3*s - 5? -120*s - 1980 What is the first derivative of 12*f**2 - 10*f + 366? 24*f - 10 Find the third derivative of 277*o*s**4 - 3*o*s**3 + o*s**2 + 39*o + 10*s**2 wrt s. 6648*o*s - 18*o Find the third derivative of -23*j**6 + 5*j**5 - 1333*j**2 wrt j. -2760*j**3 + 300*j**2 What is the second derivative of 13*v**4 + 60*v**3 - 257*v + 1 wrt v? 156*v**2 + 360*v Find the second derivative of 26239*w**4 - 7680*w wrt w. 314868*w**2 What is the third deriva
{ "pile_set_name": "DM Mathematics" }
. Determine s(q(n)). 1444*n**2 Let u(g) = 4*g. Let a(l) be the second derivative of -8*l + 2*l**3 - 2*l - 12*l + 8*l. Calculate u(a(o)). 48*o Let p(m) = -2 + 6 + 25*m - 1 - 146*m. Let h(w) = -w**2. What is p(h(u))? 121*u**2 + 3 Let s(q) = -9*q. Suppose -11*d = v - 7*d - 8, v + 4 = 2*d. Let l(b) be the third derivative of 1/30*b**5 + 0*b + v*b**3 - 4*b**2 + 0*b**4 + 0. What is s(l(g))? -18*g**2 Let h(t) = 9 - 17 + 8 + 11*t**2. Let i(d) be the third derivative of -d**5/30 + 7*d**2. Calculate h(i(m)). 44*m**4 Let i(g) be the third derivative of -3*g**2 + 0*g**3 + 0*g + 0 + 1/6*g**4. Let a(o) = 5*o**2. What is i(a(z))? 20*z**2 Let w(g) = 25*g. Let u(l) = -13*l. Let s(k) = -13*u(k) - 6*w(k). Let y(b) = -3*b**2 + 6329 - 6329. Give y(s(i)). -1083*i**2 Let d(p) = 1969*p. Let b(x) = 26*x**2. Give b(d(k)). 100800986*k**2 Let d be 18/30 - 84/15. Let s = 11 + d. Let i(n) = -s*n + 3*n - 57 + 57. Let h(g) = 5*g**2. Determine h(i(j)). 45*j**2 Let d(c) be the second derivative of -5*c**3/6 + 3*c. Let l(k) = -23*k**2 - 4. Let h(u) = -96*u**2 - 17. Let q(n) = -4*h(n) + 17*l(n). Give q(d(x)). -175*x**2 Let h(q) = -59*q. Let j(c) = 30*c. Let i(b) = -3*h(b) - 5*j(b). Let r(s) = 5*s**2. What is r(i(p))? 3645*p**2 Let g(h) = -2*h. Let c(q) = -2 + 193*q + 0 - 2 - 188*q. Give g(c(k)). -10*k + 8 Let g(y) = -40*y**2. Let q(l) be the first derivative of -5*l**3/3 - 41. Calculate g(q(z)). -1000*z**4 Let p(t) = -5*t. Let y(g) be the first derivative of 28*g**3/3 + 27. Calculate p(y(n)). -140*n**2 Let a(r) be the first derivative of -383*r**3/3 + 391. Let m(l) = l**2. Give a(m(j)). -383*j**4 Let k(h) = 2*h. Let x(o) = -25 - 20*o + 64*o + 0 - 21*o - 22*o. Calculate x(k(r)). 2*r - 25 Let d(o) be the third derivative of o**5/12 - 6*o**2 + 4. Let s(a) = 9*a**2. Calculate d(s(b)). 405*b**4 Let a(r) be the first derivative of 1/2*r**2 + 1 + 0*r. Let z(u) = -18*u - 7. Let k(g) = 6*g + 2. Let b(i) = -7*k(i) - 2*z(i). Calculate a(b(p)). -6*p Let h(t) = -t**2 + 4*t. Let i(n) = -5*n**2 + 30*n. Let w(o) = 4*h(o) - i(o). Let g(c) = -5*c + 5*c - c**2. Give g(w(d)). -d**4 + 28*d**3 - 196*d**2 Let v(h) = 3787705*h. Let t(a) = a**2. Calculate t(v(j)). 14346709167025*j**2 Let k(b) = -7 - 6 - 1 + 14 - b. Let z(w) = w + 136. Calculate z(k(v)). -v + 136 Let f(b) = -89 - 28 - 3*b + 117. Let h(a) = -2*a**2 - 24. What is h(f(z))? -18*z**2 - 24 Let m(s) = -4*s - 3*s + 448 - 2*s - 448. Let u(a) = -11*a. Calculate m(u(q)). 99*q Let v(h) = 164*h - 78*h - 84*h. Let y(q) = -3*q**2 - 22*q. Determine y(v(d)). -12*d**2 - 44*d Let c(f) = 13*f + 9*f + 5*f - 25*f. Let s(r) be the second derivative of 5*r**3 - 134*r. Give c(s(m)). 60*m Let l(d) = -8*d**2. Let u(j) = 4*j. Let f = -7 - -1. Let r(i) = -2. Let t(k) = k + 10. Let y(w) = 5*r(w) + t(w). Let h(x) = f*y(x) + 2*u(x). What is h(l(n))? -16*n**2 Let k(j) = 3*j - 4. Let a(x) = 4*x**2 + 60*x - 80. Let n(b) = 3*a(b) - 60*k(b). Let l(d) = -8*d**2. Determine l(n(s)). -1152*s**4 Let j(d) = 4*d**2 + 3*d. Let n(h) = 2*h**2 + 5*h - 5. Let z(a) = 2*a**2 + 6*a - 6. Let b(k) = -6*n(k) + 5*z(k). Calculate b(j(s)). -32*s**4 - 48*s**3 - 18*s**2 Let s(l) = -18 + 209 - 6*l - 191. Let d = 6 + -4. Let b(n) = n - n - d*n. What is b(s(g))? 12*g Let s(t) = -18*t**2. Let g(m) = -17*m**2 + 8*m + 8. Let j(u) = 2*u**2 - u - 1. Let d(z) = -3*g(z) - 24*j(z). Give d(s(p)). 972*p**4 Let f(i) = i**2 - 140*i + 5. Let u(c) = 182*c**2. Calculate f(u(z)). 33124*z**4 - 25480*z**2 + 5 Let p(v) be the third derivative of v**8/3360 + 11*v**5/60 - 5*v**2. Let z(l) be the third derivative of p(l). Let g(i) = 5*i**2. Determine g(z(f)). 180*f**4 Let n(d) = -8*d - 7. Let b(m) = -5*m - 5. Let f(z) = -7*b(z) + 5*n(z). Let y(a) = -3*a. Calculate y(f(h)). 15*h Let v(z) = z. Let s = 74 + -70. Let q(c) = 3*c. Let m(w) = s*q(w) - 11*v(w). Let f(y) = 2*y - 17. Calculate f(m(l)). 2*l - 17 Let o(s) = s**2 - 13. Let c be o(-4). Let a(y) = -y + 7 - 7 + c*y. Let r(w) = -3*w - 5. Let d(i) = -2*i - 6. Let m(p) = -5*d(p) + 6*r(p). Calculate m(a(n)). -16*n Let q(z) = -7*z - 3. Let c(a) = -112*a - 49. Let t(p) = 3*c(p) - 49*q(p). Let x be 2/3 + (-8)/(-6). Let r(w) = -w**2 + 6 - w**x - 6. Calculate t(r(h)). -14*h**2 Let j(k) = 133*k**2 - 2. Let g(s) = 8646*s**2 - 131. Let v(p) = 2*g(p) - 131*j(p). Let y(w) be the third derivative of -w**4/12 + 27*w**2. Give y(v(x)). 262*x**2 Let f(g) = -2*g. Let m(y) = -164345*y**2 - y. Calculate f(m(l)). 328690*l**2 + 2*l Let h(c) be the third derivative of -c**5/15 + 1394*c**2. Let g(q) be the second derivative of 11*q**4/12 - q. Determine g(h(p)). 176*p**4 Let a(w) = -110*w**2 + 29*w**2 + 31*w**2 + 40*w**2. Let r(p) = -2*p**2. Give r(a(z)). -200*z**4 Let r(g) be the first derivative of 65*g**2 + 483. Let k(j) = 2*j. Give k(r(p)). 260*p Let y(v) = -20*v - v + 14*v + 6*v. Suppose 0*s = -4*s - k + 9, -k + 11 = 5*s. Let g(u) = -4*u**2 + 3*u - 9*u**s - 3*u. Give g(y(o)). -13*o**2 Let s(l) = -1438*l**2. Let j(f) = -412*f**2. What is j(s(w))? -851951728*w**4 Let f(h) = -35*h. Let w(o) = 88 - 88 + 21*o - 12*o. Determine w(f(d)). -315*d Let y(m) = 16*m - 5. Let i(p) = 24*p - 7. Let g(t) = 5*i(t) - 7*y(t). Suppose -4*s + 7*s - 3300 = 0. Let f(w) = -s + 1100 - w. What is g(f(q))? -8*q Let h(t) = -4*t**2. Suppose -4*j + 8 = -5*v, -5*v - 4*j - j + 10 = 0. Let s = -3 + 3. Let r(i) = -2*i + s*i + v*i. Calculate h(r(n)). -16*n**2 Let p(m) = -5*m**2. Let v(i) = 139381*i. Give p(v(r)). -97135315805*r**2 Let z(n) = 2*n - 19*n**2 + 2 + 6*n - 8*n. Let v(m) = 455*m**2 - 49. Let b(u) = -2*v(u) - 49*z(u). Let a(i) = -3*i. What is b(a(w))? 189*w**2 Let z(c) = -19*c - 4. Let l(y) = -69*y + 8. Determine z(l(h)). 1311*h - 156 Let z be (-9)/63 + 338/14. Let j(h) = -z + 11 + 13 - 20*h. Let r(s) = s. Calculate j(r(l)). -20*l Let o(d) = -42*d - 1. Let j(k) = -2. Let w(y) = -13*y + 156. Let r(h) = 78*j(h) + w(h). Calculate r(o(q)). 546*q + 13 Let v(k) = 861*k**2. Let z(g) be the second derivative of -g**4/6 + 574*g. Calculate z(v(n)). -1482642*n**4 Let p(o) = 3*o**2. Let v(u) = 4379*u. Give p(v(i)). 57526923*i**2 Let f(l) be the first derivative of 3*l**2/2 - 152. Let s(k) = -27*k**2. Give f(s(n)). -81*n**2 Let o(x) = -12*x. Let z(l) = 3553*l**2. What is z(o(w))? 511632*w**2 Let y(w) = -w**2 + 2*w. Let k(r) = 14*r + 9*r - 24*r. Let h(u) = -2*k(u) - y(u). Let z(v) = 7*v. What is h(z(g))? 49*g**2 Let t(j) be the third derivative of -7*j**2 + 0*j + 0*j**3 + 2/15*j**5 + 0*j**4 + 0. Let v(r) = -r**2. Give v(t(q)). -64*q**4 Let l(c) = -12*c. Let r(b) = 14*b**2 - 9*b**2 + 4*b**2. Determine r(l(q)). 1296*q**2 Let l(a) = -4*a**2. Let m(x) = -31 + 3*x + 37 - 5. What is l(m(w))? -36*w**2 - 24*w - 4 Let m(y) = 3*y**2. Suppose -5*o = -2*o - 3*f, 0 = -3*f + 9. Let j(l) be the second derivative of 1/6*l**4 + 0*l**o + 0 + 0*l**2 - 4*l. Give m(j(n)). 12*n**4 Suppose -4*l + 4*c - 3*c = -11, 5*l - 7 = -c. Let o(y) = -11*y**2 + 6*y**l - 2*y**2 + 6*y**2. Let w(j) = -3*j**2. Determine w(o(s)). -3*s**4 Let a(s) be the first derivative of -385*s**3/3 - 710. Let c(t) = -t. What is c(a(n))? 385*n**2 Let g(j) = 7*j. Let r(y) = -334922*y**2. Give g(r(t)). -2344454*t**2 Let i(t) = 26*t**2. Let f(p) = 6378 - 6378 - 12*p. Give f(i(j)). -312*j**2 Let i(q) be the second derivative of -q**4/2 - 67*q. Let r(c) = -16*c**2. Calculate i(r(s)). -1536*s**4 Let l(r) = r**2. Let f(y) = -1203*y**2 + 10*y + 5. Let q(o) = -7820*o**2 + 64*o + 32. Let d(w) = 32*f(w) - 5*q(w). Calculate l(d(t)). 364816*t**4 Let t(h) = -4*h + 6*h + 2*h. Let m be ((-11)/(-1))/(-9 + 10). Let g(p) = -8*p**2 + 20*p**2 - m*p**2. Calculate t(g(n)). 4*n**2 Let s(n) = -9*n**2 + 8*n + n - 8*n. Let k(a) be the first derivative of a**2 - 405. What is s(k(v))? -36*v**2 + 2*v Suppose -5*x + 7*x - 4 = 0. Let i(j) = j**x + 3*j**2 - 5*j**2. Let w(l) = 2*l. Give i(w(q)). -4*q**2 Let l(s) = -2*s + 285711. Let i(p) = -2*p. What is i(l(a))? 4*a - 571422 Let r(q) = 8*q + 4. Let t(s) = -s - 1. Let o(w) = r(w) + 4*t(w). Let c = 9 + -9. Let a(u) = 0*u - u + c*u - u. Calculate o(a(m)). -8*m Let m(v) = -15*v**2. Let s(f) = 9 + 5 + 10*f**2 - 14 - 5*f**2. Calculate s(m(c)). 1125*c**4 Let r(u) = 2*u. Let y(n) be the third derivative of n**4/3 + 4*n**3/3 + 81*n**2. Calculate y(r(a)). 16*a + 8 Suppose -6*x = -x. Suppose x = -6*m + 8*m - 6. Let t(f) = m*f - 4*f + 0*f + 2*f. Let b(p) = 18*p**2. What is b(t
{ "pile_set_name": "DM Mathematics" }