. Suppose -15/4*c - 3/4*c**3 - f*c**2 - 3/2 = 0. Calculate c.
-2, -1
Determine q, given that -23/6*q + 10 + 1/6*q**2 = 0.
3, 20
Let s(t) be the third derivative of 59*t**2 + 0 - 1/840*t**6 + 0*t - 13/420*t**5 + 0*t**3 + 5/28*t**4. Factor s(x).
-x*(x - 2)*(x + 15)/7
Let l be 5 - 12/(3 - -1). Find a such that 176*a + 5*a**l - 30 - 75*a - 76*a = 0.
-6, 1
Let x(f) be the third derivative of 1/3*f**4 - 1/270*f**5 - 12*f**3 + 0 - 3*f - f**2. Solve x(l) = 0 for l.
18
Let o(t) = 6*t**3 - 66*t**2 - 155*t - 83. Let s(g) = -g**3. Let n(w) = o(w) + 5*s(w). Let f(k) = 33*k**2 + 78*k + 42. Let p(r) = 5*f(r) + 3*n(r). Factor p(v).
3*(v - 13)*(v + 1)**2
Let v(z) = -32*z**4 - 42*z**3 - 152*z**2 + 480*z - 266. Let c(r) = -5*r**4 + 3*r**2 + r - 1. Let d(a) = 12*c(a) - 2*v(a). Factor d(b).
4*(b - 1)**2*(b + 10)*(b + 13)
Let v = -41 + -23. Let l = 68 + v. Let n(r) = r**2 - r. Let y(f) = 6*f**2 + 10*f. Let g(p) = l*n(p) - y(p). Factor g(q).
-2*q*(q + 7)
Let y be ((-612)/119)/(0 + (-3)/28). Let j be 2 - y/21 - (-1526)/196. Let 0 - 3/2*n**5 + 0*n + 3*n**2 - j*n**3 + 6*n**4 = 0. What is n?
0, 1, 2
Let m = -359284 + 359289. Find h, given that 0 - 2/11*h**m + 16/11*h**2 + 14/11*h - 16/11*h**4 - 12/11*h**3 = 0.
-7, -1, 0, 1
Let i(f) be the first derivative of 8/5*f + 310 - 1/5*f**4 + 8/5*f**2 + 2/5*f**3 - 2/25*f**5. Solve i(p) = 0.
-2, -1, 2
Let r(c) = -c**4 + 7*c**3 - 2*c**2 - 5*c. Let d = 301 - 309. Let o(t) = 2*t**4 - 10*t**3 + 4*t**2 + 8*t. Let l(a) = d*r(a) - 5*o(a). Factor l(h).
-2*h**2*(h + 1)*(h + 2)
What is p in 270*p**2 - 2658*p**4 - 2835*p - 2646*p**4 - 3*p**5 + 5289*p**4 + 150*p**3 - 633 + 4602 = 0?
-7, 3
Let b(u) = -2*u**5 - 3*u**4 - u**3 + 2*u**2 + u. Let z(v) = 92*v**5 + 612*v**4 - 1780*v**3 + 2172*v**2 - 952*v. Let a(s) = -48*b(s) - z(s). Solve a(q) = 0.
0, 1, 2, 113
Factor 65*a**3 + 5*a**4 - 20*a**2 + 199421*a - 199681*a + 0*a**2.
5*a*(a - 2)*(a + 2)*(a + 13)
Let u(r) be the first derivative of -13/16*r**2 + 1/2*r + 2 + 1/8*r**4 - 13/24*r**3. Determine z, given that u(z) = 0.
-1, 1/4, 4
Let j(u) be the first derivative of 284*u**3/21 + 138*u**2/7 - 8*u/7 - 1758. Find l, given that j(l) = 0.
-1, 2/71
Let d = 81 - -170. Factor d*m + 6*m**4 - 128*m - 2*m**3 - 16*m**2 - 131*m.
2*m*(m - 2)*(m + 1)*(3*m + 2)
Factor -19*o**3 + 0*o**2 - 9*o**3 - 72 - 164*o - 152*o**2 + 32*o**2.
-4*(o + 1)*(o + 2)*(7*o + 9)
Suppose 20*j = -463*j + 43*j + 880. Solve -4/3*y**3 + 4/15*y**j + 6/5*y - 2/3 + 2/5*y**4 + 2/15*y**5 = 0 for y.
-5, -1, 1
Let y(i) = -38*i**3 + 28*i**2 + 6*i. Let z(x) be the first derivative of 1/4*x**4 + 1/2*x**2 + 0*x + 0*x**3 - 5. Let u(p) = -y(p) - 2*z(p). Factor u(c).
4*c*(c - 1)*(9*c + 2)
Let m = 19639/132 - 1632/11. Let l(p) be the third derivative of 1/240*p**6 + m*p**3 + 0*p - 27*p**2 + 0 - 1/48*p**4 - 1/24*p**5. Factor l(q).
(q - 5)*(q - 1)*(q + 1)/2
Determine t so that -684/7*t**2 + 0*t - 3/7*t**5 + 0 + 339/7*t**4 + 348/7*t**3 = 0.
-2, 0, 1, 114
Let v(c) = c**4 + c**3 + c**2 - 4. Let s(g) = 5*g**4 + 81*g**3 + 929*g**2 + 3162*g + 2300. Let y(j) = 2*s(j) - 6*v(j). Factor y(r).
4*(r + 1)*(r + 4)*(r + 17)**2
Let x(q) be the first derivative of -5*q**6/3 - 703*q**5/10 - 96*q**4 + 499*q**3/6 + 197*q**2 + 102*q + 408. Let x(r) = 0. What is r?
-34, -1, -3/4, -2/5, 1
Let b(z) = 3*z**2 + 142*z - 245. Let t(j) = 4*j**2 + 224*j - 368. Let d(h) = 7*b(h) - 5*t(h). Let d(w) = 0. What is w?
1, 125
Let j(s) = s + 7. Let u(b) = -4*b**2 - 152*b - 324. Let t(v) = -24*j(v) + u(v). Let t(f) = 0. What is f?
-41, -3
Let m(v) be the second derivative of -v**7/420 + v**6/36 + 7*v**3/3 + v**2 + 2*v - 8. Let z(k) be the second derivative of m(k). Factor z(y).
-2*y**2*(y - 5)
Let c(p) be the third derivative of -72*p**2 + 0 - 5/6*p**4 + 0*p + 1/48*p**6 + 20*p**3 - 5/24*p**5. Factor c(w).
5*(w - 4)**2*(w + 3)/2
Let g be (-13)/286*-66*-3*2/(-45). Let f(s) be the second derivative of -g*s**2 + 0 - 1/25*s**5 + 39*s + 1/15*s**4 + 2/15*s**3. What is k in f(k) = 0?
-1, 1
Solve 29258/17*g**3 - 252*g**4 + 0 - 728*g**2 + 162/17*g**5 + 1352/17*g = 0.
0, 2/9, 13
Let b be (-12)/(-6)*(-25 - 3775/(-150)). Suppose -b*z**3 + 1/3*z**2 + 0 + 2*z = 0. What is z?
-2, 0, 3
Let y be 100/(-80)*1*-1. Let w be -12*(-10)/(-1260) - 2/(-21). Let y*b - 1/4*b**2 + w = 0. What is b?
0, 5
Let y(s) be the third derivative of -s**8/840 + s**7/175 + 7*s**6/300 - 7*s**5/150 - 3*s**4/10 - 8*s**3/15 + 2*s**2 - 47*s. Solve y(z) = 0.
-1, 2, 4
Solve -46*r**3 - 2*r**3 - 180*r**5 - 10*r**3 + 240*r**4 + 9*r**3 - 16*r**3 + 5*r**2 = 0 for r.
0, 1/6, 1
Let v(j) be the first derivative of 4*j**3/3 - 620*j**2 + 96100*j - 974. Factor v(l).
4*(l - 155)**2
Let a(l) = -l**3 + 40*l**2 - 75*l + 1. Let p be a(2). Solve 840/13*g + 96/13*g**4 - 170/13*g**p + 400/13 - 10/13*g**5 - 484/13*g**2 = 0 for g.
-2, -2/5, 2, 5
Let k(p) = -4*p**2 + 7*p + 20. Let b be k(-5). Let r = b + 119. Factor 120*n**3 + 108*n**2 + 15*n**r - 42*n**4 - 40*n - n**4.
-4*n*(n - 5)*(n + 1)*(7*n - 2)
Suppose 0 = 3*n - 4*c - 14, 2*n - 3*c + 3 = 13. Suppose -n*y = -37 + 17. Solve 5*q**2 + 176*q**3 + 4*q + 5*q**4 - 19*q - y - 161*q**3 = 0.
-2, -1, 1
Factor -1/2*r**2 + 2*r + 221/2.
-(r - 17)*(r + 13)/2
Let h be -1 + 2 - 2/4. Let n be 2 + 832/(-432) - 10/9*(-94)/48. Suppose n*l - 15/4*l**2 + 11/4*l**3 - 3/4*l**4 - h = 0. Calculate l.
2/3, 1
Factor 122*a + 3703*a**2 - 3400*a**2 - 136*a**5 + 57*a**4 + 239*a**3 + 135*a**5.
-a*(a - 61)*(a + 1)**2*(a + 2)
Let s be 4/((-512)/(-1540)) + -12. Let k(j) be the third derivative of -2*j**2 - 1/80*j**5 + 0*j + 0*j**3 + s*j**4 + 0. Factor k(i).
-3*i*(i - 1)/4
Suppose 8*o - 26 = -5*o. Factor -4 - 535*i**2 + 533*i**2 - o*i**4 + 4 + 4*i**3.
-2*i**2*(i - 1)**2
Let a = 34584/17 + -172869/85. Factor 54/5*h**3 + 0 + 12*h**2 + 21/5*h**4 + a*h**5 + 24/5*h.
3*h*(h + 1)*(h + 2)**3/5
Let o = -22466 + 89875/4. Let b(m) be the first derivative of -7/6*m**3 - 1 - 5/2*m - o*m**2 - 1/8*m**4. Factor b(h).
-(h + 1)**2*(h + 5)/2
Let t = -350511/4 - -87628. Factor -1/2*c**3 + 1/2*c + 1/4 - t*c**4 + 0*c**2.
-(c - 1)*(c + 1)**3/4
Let t(n) be the second derivative of 1 + 1/50*n**5 - 5832/5*n**2 + 324/5*n**3 - 6*n - 9/5*n**4. Factor t(p).
2*(p - 18)**3/5
Let a(s) = 66*s - 1320. Let q be a(20). Let t(y) be the third derivative of 0 - 1/160*y**6 - 1/16*y**4 - 16*y**2 + q*y**3 + 3/80*y**5 + 0*y. Factor t(k).
-3*k*(k - 2)*(k - 1)/4
Let y(g) be the first derivative of g**4/16 + 13*g**3/6 - g**2/8 - 13*g/2 + 8576. Suppose y(q) = 0. Calculate q.
-26, -1, 1
Let k(v) = -v**3 - 3*v**2 + 10*v + 4. Let p be k(-5). Let i(l) be the first derivative of -p*l**2 - 2 - 4/3*l**3 + 12*l. Suppose i(c) = 0. Calculate c.
-3, 1
Let x(i) = -i - 32. Let s be x(-14). Let y be -2*12/(-216) + (-88)/s. Suppose -16/3*j**y + 0 + 0*j - 36*j**3 + 24*j**4 + 18*j**2 = 0. Calculate j.
0, 3/2
Let h be ((-6223)/98 - -64) + 28/8. Find d such that 0 - 22/9*d**h + 22/9*d**2 - 26/9*d**3 + 10/3*d**5 - 4/9*d = 0.
-1, 0, 1/3, 2/5, 1
Let x(i) be the first derivative of -i**4/16 - 111*i**3/4 - 663*i**2/8 - 331*i/4 + 690. Factor x(y).
-(y + 1)**2*(y + 331)/4
Let d(v) be the third derivative of -2*v**2 - 8/3*v**3 + 31/18*v**4 + 2 + 0*v - 1/18*v**5. Determine m, given that d(m) = 0.
2/5, 12
Factor 512 + 2395*p + 5*p**4 - 1215*p**2 - 549*p**3 + 554*p**3 - 1702.
5*(p - 14)*(p - 1)**2*(p + 17)
Find f such that 8*f**3 + 23983 + 114*f**2 + 7*f**3 + 45*f**2 + 63*f - 309*f - 23911 = 0.
-12, 2/5, 1
Factor -1176 - 1686*f + 4*f**2 - 62*f**2 + 67*f**2 - 72*f.
3*(f - 196)*(3*f + 2)
Let l be 6*2/8*2. Let x be (-306)/(-6 - 28) - (3 + -2*6/10). Factor x*g + 4/5*g**l + 0 - 24/5*g**2.
4*g*(g - 3)**2/5
Factor -549*u - 5*u**2 - 2729*u - 2912*u - 1915805.
-5*(u + 619)**2
Let u(l) be the first derivative of l**3/12 - 7*l**2/8 - 2*l + 264. Factor u(n).
(n - 8)*(n + 1)/4
Suppose -3*z - 5*w + 24 = 0, -3*z - 33*w + 21 = -29*w. Let t(p) be the third derivative of -1/3*p**z + 9*p**2 + 0 + 1/24*p**4 + 1/60*p**5 + 0*p. Solve t(k) = 0.
-2, 1
Let z be 2/1 - (1 - 2). Let a = -3236 - -3240. Factor -a*r - 16*r - z*r**2 - 768 - r**2 + 752.
-4*(r + 1)*(r + 4)
Suppose -26*f + 20*f + 24 = 0. Find u, given that -7*u**5 + 49*u**2 - 20*u**f + 29*u**2 - 40*u + 3*u**5 + 9*u**5 - 8*u**2 - 15*u**3 = 0.
-2, 0, 1, 4
Let l be ((-9)/(-24))/((-54)/(-288)). Let t be (l + (-32)/13)/(-31 + 28). Solve -6/13*s**2 + 0*s + 8/13 + t*s**3 = 0 for s.
-1, 2
Let 