(u) = -2*u**3 - 32*u**2 - 2*u + 18. Let z(n) = -n**3 - n - 1. Let m(y) = y**3 + 6*y**2 + 5*y - 2. Let t be m(-4). Let h(p) = t*z(p) + k(p). Factor h(v).
-4*(v + 1)*(v + 2)*(3*v - 1)
Factor -12*k**2 - 34*k**3 - 4 + 128*k - 6*k**3 + 4*k**4 - 76.
4*(k - 10)*(k - 1)**2*(k + 2)
Let t be (-3 - 7)*12/(-10). Let n = t + -10. Factor 7*g**n + g**5 - 12*g**3 + 6 + 6*g**2 - 19*g**2 + 2*g**5 + 9*g.
3*(g - 2)*(g - 1)*(g + 1)**3
Suppose -a**5 - 147*a**2 + 3*a**4 + 197*a**3 - 204*a**3 + 4*a**4 + 3*a**4 + a**4 = 0. What is a?
-3, 0, 7
Suppose 0*d - 18 = -6*d. Factor -d*c**2 - 58*c - 17*c**2 + 66*c - 28*c**3.
-4*c*(c + 1)*(7*c - 2)
Let n(m) be the second derivative of 2*m**5/35 + 3*m**4/7 + 2*m**3/21 - 24*m**2/7 + 25*m + 1. Let n(y) = 0. Calculate y.
-4, -3/2, 1
Find h, given that 331 - h**4 + 966*h**3 + 505 + 729*h - 947*h**3 + 225*h**2 - 80 = 0.
-3, 28
Let d(i) = 2*i + 9. Let v be d(-7). Let q(n) = 13*n**2 - 32*n + 37. Let t(j) = -19*j**2 + 48*j - 55. Let u(l) = v*t(l) - 7*q(l). Factor u(f).
4*(f - 2)**2
Suppose 0*i - 2*d = -4*i + 2, 5 = -5*d. Let u(l) be the first derivative of -1 + i*l + 1/2*l**2 + 9/4*l**4 - 5/3*l**3 + 1/3*l**6 - 7/5*l**5. Factor u(z).
z*(z - 1)**3*(2*z - 1)
Suppose 5*j - 45 = -4*j. Let o be j/(-15)*1 - 11/(-6). Find k, given that -3*k**3 + o*k**5 + 1/2*k**4 + 3/2*k + 1/2 - k**2 = 0.
-1, -1/3, 1
Let h = -10 - -15. Let g(w) = w**5 - 3*w - 3*w**h + 2*w**3 - 3*w + w. Let n(o) = -o**5 + o**3 - 2*o. Let i(u) = 4*g(u) - 10*n(u). Factor i(r).
2*r**3*(r - 1)*(r + 1)
Let m(g) be the second derivative of -g**6/1080 + g**5/120 - g**4/36 - 5*g**3/3 + 5*g. Let i(h) be the second derivative of m(h). Find a, given that i(a) = 0.
1, 2
Let n(r) = -19*r - 73. Let i be n(-4). Let d(x) be the first derivative of -i*x**2 - 11/6*x**4 - 10/3*x**3 - 2/5*x**5 + 8 - 4/3*x. Factor d(v).
-2*(v + 1)**3*(3*v + 2)/3
Let i(s) = 5*s + 40. Let o(p) = -p**2 - 3*p - 20. Let k(r) = -3*i(r) - 5*o(r). Factor k(l).
5*(l - 2)*(l + 2)
Let x(s) be the third derivative of s**6/30 - 43*s**5/15 + 161*s**4/2 - 294*s**3 - 42*s**2. Suppose x(n) = 0. Calculate n.
1, 21
Let f(a) be the first derivative of -8 - 1/36*a**4 + 5*a - 1/6*a**2 - 1/9*a**3. Let b(z) be the first derivative of f(z). Solve b(h) = 0 for h.
-1
Let a = 39 - 34. Let w(o) be the second derivative of 0*o**4 - 1/135*o**6 + 1/9*o**2 - 2/27*o**3 + 0 + 1/45*o**a - o. Determine u, given that w(u) = 0.
-1, 1
Let a(v) be the second derivative of v**6/195 - 61*v**5/65 + 640*v**4/13 - 2400*v**3/13 + 2*v + 32. Find c such that a(c) = 0.
0, 2, 60
Let b(g) = 2*g**4 - g**4 + 4*g**3 + 6*g - 12*g**2 - 14*g + 4*g**4 + 8. Let w(r) = 2*r**4 + r**3 - 4*r**2 - 3*r + 3. Let t(h) = -3*b(h) + 8*w(h). Factor t(l).
l**2*(l - 2)**2
Suppose -2/15*c - 2/3*c**2 + 2/3 + 2/15*c**3 = 0. Calculate c.
-1, 1, 5
Let p = -103 + 151. Let m be 70/22 - p/16. Factor -m*h - 2/11*h**2 + 0.
-2*h*(h + 1)/11
Let t = 15 - 9. Factor 3*q + 1 + t*q**4 - 1 - 3*q**5 + 46*q**2 - 52*q**2.
-3*q*(q - 1)**3*(q + 1)
Let o be -3 + 3/(-7 - -4). Let l be ((-48)/(-20))/(o/(-30)). Solve l*p**4 - 2*p - p + 9*p**3 - 24*p**4 = 0 for p.
-1/2, 0, 1
Let i(r) = 64*r + 1859. Let u be i(-29). Determine x, given that -3/2*x**3 + 15/2*x + 3/2*x**4 - 9/2*x**2 - u = 0.
-2, 1
Let a(y) be the first derivative of -5/8*y**4 - 1/12*y**6 + 6 + 0*y**2 + 2/5*y**5 + 1/3*y**3 + 0*y. Determine j, given that a(j) = 0.
0, 1, 2
Factor -2*n**3 + 1 - 70*n**2 - 24*n**2 + 0 - 1.
-2*n**2*(n + 47)
Suppose 3*w - 12 = 18. Determine i, given that -i**3 + w*i + 5*i**2 - i**4 - 18*i + 5*i = 0.
-3, 0, 1
Let 27/2*u**2 + 0 + 30*u + 3/2*u**3 = 0. Calculate u.
-5, -4, 0
Let n(b) be the first derivative of -2*b**3/57 - 8*b**2/19 - 14*b/19 + 922. Factor n(h).
-2*(h + 1)*(h + 7)/19
Let a be 32/(-3)*(-1566)/72. Let v = a + -2550/11. Find o, given that -v*o**5 + 4/11*o - 6/11*o**2 + 6/11*o**4 - 2/11*o**3 + 0 = 0.
-1, 0, 1, 2
Let i = 3130/9 - 3124/9. Factor -i*t**3 + 0*t - 2*t**2 + 8/3.
-2*(t - 1)*(t + 2)**2/3
Suppose 0*l = -6*l + 30. Let y(r) be the second derivative of 0 + 1/12*r**3 + 0*r**2 + 1/60*r**6 - r + 1/8*r**4 + 3/40*r**l. Suppose y(k) = 0. What is k?
-1, 0
Let c(k) = 5*k**2 + 40*k + 80. Let v(g) = 60*g**2 + 480*g + 960. Let u(b) = -25*c(b) + 2*v(b). Factor u(z).
-5*(z + 4)**2
Let c(r) be the second derivative of r**8/1680 + r**7/420 - 3*r**3/2 - 6*r. Let w(x) be the second derivative of c(x). What is k in w(k) = 0?
-2, 0
Suppose 5*n - 2*l - 32 = -4*l, 0 = 2*n + 5*l - 38. Factor 1/2*w**n + 0 + 0*w**3 - 1/4*w**5 - 1/2*w**2 + 1/4*w.
-w*(w - 1)**3*(w + 1)/4
Let y(q) be the second derivative of 0*q**2 + 1/27*q**3 - 22*q + 1/54*q**4 + 0. Factor y(m).
2*m*(m + 1)/9
Let q be 3*-3*19/(-57). Factor -19*a**q - 4*a**2 + 11*a**3 - 4*a**4 + 0*a**4.
-4*a**2*(a + 1)**2
Factor -52*o**2 + 1070*o - 522*o - 504*o + 8.
-4*(o - 1)*(13*o + 2)
Suppose 0*t + 28*t = 196. Let u(f) be the second derivative of 1/6*f**5 + 0*f**2 + t*f - 1/9*f**4 + 0*f**3 + 0. Factor u(s).
2*s**2*(5*s - 2)/3
Let p(a) = 9*a**2 - 12*a + 19. Let q(k) = 125*k**2 - 170*k + 265. Let s(c) = 55*p(c) - 4*q(c). Find v, given that s(v) = 0.
1, 3
Let k(h) be the second derivative of -5/3*h**3 - 5/12*h**4 - 5/2*h**2 + 0 - h. Factor k(q).
-5*(q + 1)**2
What is o in -42 + 16*o**4 + 30 - 8*o**2 - 31*o**2 - 63*o + 8*o**4 + 90*o**3 = 0?
-4, -1/2, -1/4, 1
Let x(c) = c**3 + 4*c**2 + 3*c. Let q be x(-4). Let o = q - -14. Factor 8*s + 0*s**2 + s**2 + 3*s**o + 4.
4*(s + 1)**2
Let u be 370/3*(-75)/(-50). Let d be (5 - u/25) + 3. Factor 0 + 6/5*z + d*z**3 + 9/5*z**2.
3*z*(z + 1)*(z + 2)/5
Let h(y) be the first derivative of 3*y**4/8 + 5*y**3/2 - 9*y**2/2 - 353. Let h(u) = 0. What is u?
-6, 0, 1
Let g = 0 - -2. Suppose -g*o - 2 = 2*k + 2, 4*o = -k + 7. Find x, given that -x**4 + 0*x**5 + o*x**5 - 6*x**3 + 4*x**4 = 0.
-2, 0, 1
Let o(q) be the first derivative of -12 - 2/75*q**5 + 3/5*q**2 + 0*q - 2/15*q**3 - 1/6*q**4. What is h in o(h) = 0?
-3, 0, 1
Solve 8/9*m - 4/9*m**2 + 16/9 - 2/9*m**3 = 0 for m.
-2, 2
Factor -f**5 + 4*f**2 - 51*f**4 + 99*f**4 - 57*f**4 - 18*f**3 + 24*f.
-f*(f - 1)*(f + 2)**2*(f + 6)
Let h(x) be the third derivative of x**6/160 + x**5/48 + x**4/48 + 380*x**2. Suppose h(m) = 0. What is m?
-1, -2/3, 0
Suppose 5*v = -2*p, -4*p - 191 + 217 = -3*v. Factor 3/5*m**p + 0*m + 0*m**2 + 6/5*m**3 + 9/5*m**4 + 0.
3*m**3*(m + 1)*(m + 2)/5
Let d(f) be the second derivative of -f**6/120 + f**5/40 + f**4/4 - 5*f**3/6 - 2*f. Let q(x) be the second derivative of d(x). Factor q(i).
-3*(i - 2)*(i + 1)
Let v(x) be the first derivative of -x**4/4 + 38*x**3 - 1680*x**2 + 6272*x - 444. Factor v(a).
-(a - 56)**2*(a - 2)
Factor 16/3*d**2 + 2/3*d**3 + 0 + 32/3*d.
2*d*(d + 4)**2/3
Let n = 13557 + -136011/10. Let b = 89/2 + n. Factor b*j**2 - 6/5*j + 4/5.
2*(j - 2)*(j - 1)/5
Suppose 0 = 2*m - 25 - 3. Suppose 0 = 5*d - 1 - m. Solve d*r**4 + 13*r - 13*r - 6*r**2 + 3 = 0 for r.
-1, 1
Let v(n) be the second derivative of -n**5/50 - 3*n**4/20 - n**3/10 + 2*n**2/5 - 289*n. Determine g so that v(g) = 0.
-4, -1, 1/2
Find y, given that -4/3*y**3 - 8*y - 2/15*y**4 - 24/5 - 74/15*y**2 = 0.
-3, -2
Factor 12*z - 12*z**3 + 3*z**3 + 2 + 21*z**4 - 2 - 18*z**4.
3*z*(z - 2)**2*(z + 1)
Let u(k) be the first derivative of k**6/10 + k**5/140 - k**4/28 + 6*k**2 + 2. Let g(v) be the second derivative of u(v). Factor g(r).
3*r*(4*r - 1)*(7*r + 2)/7
Let t be ((-5)/(-2))/(3/6). Let a be 0 + t/(5/2). Factor 7*d + 7*d**2 - 4*d**2 + 3*d**a + 2.
(2*d + 1)*(3*d + 2)
Let w = -356 + 361. Factor -2/7*i**2 - 6/7*i**4 + 6/7*i**3 + 0*i + 0 + 2/7*i**w.
2*i**2*(i - 1)**3/7
Let s(i) be the first derivative of i**7/315 + 7*i**6/225 + i**5/10 + i**4/10 + 33*i + 29. Let g(z) be the first derivative of s(z). Factor g(m).
2*m**2*(m + 1)*(m + 3)**2/15
Let v be 149/7 + 30/(-105). Suppose 20*t - v*t = -3. Factor 2/5*h**t - 2*h**2 + 16/5*h - 8/5.
2*(h - 2)**2*(h - 1)/5
Let m(p) = -p**2 - 10*p - 5. Suppose 0 = -2*v - 4*d - 30, 0*v + 4*v = 4*d - 24. Let f be m(v). Factor 0*c**2 - 12 + 12 + f*c + 2*c**2.
2*c*(c + 2)
Suppose b + 6 + 5 = -2*g, 18 = -3*b - 3*g. Let s(o) = 3*o**2 + 6*o - 3. Let j(p) = -p**3 - p**2 - p + 1. Let z(i) = b*s(i) - 3*j(i). Factor z(l).
3*l*(l - 1)*(l + 1)
Let u(y) be the first derivative of y**5/30 + y**4/3 - 4*y**3/9 - 8*y**2 + 24*y - 24. Factor u(v).
(v - 2)**2*(v + 6)**2/6
Suppose 25 + 41 = 3*h. Factor 9*l - 6*l**2 - 9*l**2