actor 3*f**q - 6*f**3 - 291*f**2 - 3 + 6*f + 291*f**2.
3*(f - 1)**3*(f + 1)
Let h be (91/14 + -7)*-6. Factor 1/2*j**2 + 3/2*j**h - 3/2*j - 1/2.
(j - 1)*(j + 1)*(3*j + 1)/2
Let m be (-9)/36 + ((-22)/(-24))/1. Factor 4/9 + m*g**2 - 2/9*g**4 + 2/9*g**3 - 10/9*g.
-2*(g - 1)**3*(g + 2)/9
Let u(s) be the third derivative of s**8/336 + s**7/105 + s**6/120 + 6*s**2. Factor u(d).
d**3*(d + 1)**2
Let u = -16 - -19. Let j be (-120)/u*(-12)/210. Solve 24/7*a + 12/7*a**2 + 2/7*a**3 + j = 0.
-2
Factor 1/3*r**2 - 1/3 - 1/6*r**3 + 1/6*r.
-(r - 2)*(r - 1)*(r + 1)/6
Let s(f) be the first derivative of -f**5 - 5*f**4/4 + 10*f**3/3 + 7. Find x such that s(x) = 0.
-2, 0, 1
Let a = 367/2 + -182. Factor 0 - 15/4*b**3 + a*b**2 + 0*b.
-3*b**2*(5*b - 2)/4
Let x(v) = v - 1. Let a be x(7). Let j be (-8)/(-3)*9/a. Find g, given that 3*g**2 - 4*g**3 + 5*g**3 - j*g**2 = 0.
0, 1
Suppose 0 = 2*k - 1 - 3. Let l(v) = 2*v**2 - v - 2. Let f be l(2). Factor 2*h + 0*h + f*h**k - 7*h**2.
-h*(3*h - 2)
Factor 4*k**3 - 2*k - 2*k**2 - 4*k**2 + 4*k**2.
2*k*(k - 1)*(2*k + 1)
Let u(p) be the first derivative of -p**4/54 - p**3/27 + 9*p + 2. Let b(a) be the first derivative of u(a). Factor b(v).
-2*v*(v + 1)/9
Let z(g) be the third derivative of -g**6/120 - g**5/30 - g**4/24 + g**3/6 + 2*g**2. Let r be z(-2). Factor -2*a**r + a + a**3 + 6*a**2 - a**4 - 5*a**2.
-a*(a - 1)*(a + 1)**2
Let z(o) be the second derivative of o**5/5 - 2*o**3/3 + 10*o. Factor z(q).
4*q*(q - 1)*(q + 1)
Factor 1/7*j**3 + 16/7*j + 8/7*j**2 + 0.
j*(j + 4)**2/7
Factor 10/3*q**4 + 0*q + 5/3*q**5 - 40/3*q**2 - 20/3*q**3 + 0.
5*q**2*(q - 2)*(q + 2)**2/3
Let x(l) = 4*l - 1. Let t be x(1). Let y be (-6)/(-2)*(-20)/(-15). Factor k + k**3 + k**3 + 0*k + k**t + 3*k**2 + k**y.
k*(k + 1)**3
Let m(v) be the second derivative of v**7/210 - v**5/20 + v**4/12 - v**2/2 + 3*v. Let z(j) be the first derivative of m(j). Find h, given that z(h) = 0.
-2, 0, 1
Let j(a) = a**3 - 2*a**2 - 3*a + 2. Let q be 6*(-2 - 5/(-2)). Let g(t) = 0*t**2 + 2*t - t**2 - q*t + 1. Let p(i) = -2*g(i) + j(i). Let p(c) = 0. Calculate c.
-1, 0, 1
Let g(n) be the second derivative of 3*n**5/160 - n**4/32 - n**3/8 - 7*n. Factor g(j).
3*j*(j - 2)*(j + 1)/8
Let 2/5*c**5 + 6/5*c**4 - 6/5*c + 4/5*c**3 - 2/5 - 4/5*c**2 = 0. What is c?
-1, 1
Let d(p) be the third derivative of p**7/1680 - 5*p**3/6 - 5*p**2. Let c(k) be the first derivative of d(k). What is s in c(s) = 0?
0
Let b be (-1 + 2)*(1 + 46). Let m = b - 87/2. Factor 3/2*u**5 - m*u + 3*u**2 + 2*u**3 - 4*u**4 + 1.
(u - 1)**3*(u + 1)*(3*u - 2)/2
Find x, given that -21*x**4 - 11*x**5 + 2*x**2 - 6*x**3 + 6*x**5 + x**2 - 7*x**5 = 0.
-1, 0, 1/4
Factor -16/5*d - 32/5 + 4/5*d**3 + 8/5*d**2.
4*(d - 2)*(d + 2)**2/5
Factor -32*m - 7 - 1 - 56*m - 242*m**2.
-2*(11*m + 2)**2
Let g be (3/2 - 2)*-4. Let h = -3 + g. Let z(k) = -k**3 + 1. Let y(c) = 2*c**4 + 9*c**3 + 2*c**2 - 5. Let r(t) = h*y(t) - 5*z(t). Let r(l) = 0. Calculate l.
-1, 0
Let p(k) be the third derivative of 7/108*k**4 + 0*k - 2*k**2 + 0 - 1/27*k**3 + 13/540*k**6 - 4/945*k**7 - 1/18*k**5. Find j, given that p(j) = 0.
1/4, 1
Let n(v) be the third derivative of -v**5/150 - v**4/12 - 4*v**3/15 + 5*v**2. Determine o so that n(o) = 0.
-4, -1
Let -k**3 + 18 + 2*k**3 - 3*k**2 - k - 17 + 2*k**2 = 0. What is k?
-1, 1
Let r(d) = d - 7. Let h be r(10). Let i = h - -1. Factor 4/7*j**2 - 10/7*j**i - 6/7*j**3 + 0*j + 0.
-2*j**2*(j + 1)*(5*j - 2)/7
Suppose -3*o - 4*n + 29 = 0, 0*n + 5 = 5*o - 2*n. Suppose -o*h + 4 = -h. Let -h*v**4 + 6*v**3 - 6*v**2 - v + 5*v - 2*v = 0. Calculate v.
0, 1
Let z(b) = 21*b**4 + 69*b**3 - 24*b**2 - 105*b + 25. Let a(d) = 10*d**4 + 34*d**3 - 12*d**2 - 52*d + 12. Let p(r) = -7*a(r) + 4*z(r). Let p(w) = 0. What is w?
-2, 2/7, 1
Factor -2/5*y - 4/5*y**2 + 0 - 2/5*y**3.
-2*y*(y + 1)**2/5
Let j be 0*(-1)/4 - -3. Find w such that 4*w**3 + 2*w + 4*w**2 - 8*w**2 - 2*w**j + 0*w = 0.
0, 1
Suppose -6/13*p**2 + 2/13 + 4/13*p = 0. What is p?
-1/3, 1
Let o be 23/60 - 8/60. Determine d so that 0*d**2 + 0*d + 0 - o*d**4 + 1/4*d**3 = 0.
0, 1
Let g be 10/3 - 1/3. Suppose 3 + 5*f**g + 2*f**4 - 2*f - 3*f**3 - 3 - 2*f**2 = 0. Calculate f.
-1, 0, 1
Solve -1/3 - 1/3*r**2 - 2/3*r = 0.
-1
What is g in 20/11*g**2 + 2/11*g - 10/11*g**5 - 4/11 - 16/11*g**4 + 8/11*g**3 = 0?
-1, 2/5, 1
Let d = -245 + 249. Factor 0 + k**3 - 4/7*k + 20/7*k**2 - 14*k**d.
-k*(2*k + 1)*(7*k - 2)**2/7
Let n = -34 + 104/3. Suppose 4*d = 4*m - 20, 0*d + 25 = 2*d + 5*m. Factor 2/3*c**4 + 0*c - n*c**2 + d + 0*c**3.
2*c**2*(c - 1)*(c + 1)/3
Let o(k) = -k**2 - 4*k - 3. Let d(x) be the second derivative of -x**4/3 - 2*x**3 - 4*x**2 - 3*x. Let b(t) = 6*d(t) - 20*o(t). Factor b(c).
-4*(c - 3)*(c + 1)
Let o(m) be the second derivative of -m**4/24 + m**3/6 + 16*m. Factor o(f).
-f*(f - 2)/2
Factor 1/2 - 3/4*x + 1/4*x**2.
(x - 2)*(x - 1)/4
Let l(v) = -388*v**4 - 660*v**3 + 512*v**2 + 468*v + 80. Let p(q) = 155*q**4 + 264*q**3 - 205*q**2 - 187*q - 32. Let i(b) = 5*l(b) + 12*p(b). Solve i(a) = 0.
-2, -2/5, -1/4, 1
Let c(v) = -v + 2. Let d be c(-4). Let o = d - 4. Suppose -6*w**2 + w**2 + w**4 + 4*w**o = 0. Calculate w.
-1, 0, 1
Let f be (2/4)/((-55)/(-10)). Let y(n) be the second derivative of 0 - 2*n - f*n**2 + 1/66*n**4 + 0*n**3. Factor y(b).
2*(b - 1)*(b + 1)/11
Let v(q) = -q**3 + q**2 + 1. Let z(g) = 3*g**4 - 4*g**3 + g + 3. Let j(f) = 3*v(f) - z(f). Factor j(s).
-s*(s - 1)*(s + 1)*(3*s - 1)
Factor 2*z**3 + 12*z + z**3 - 11*z**2 - 13 + 9.
(z - 2)*(z - 1)*(3*z - 2)
Let w(h) be the third derivative of -h**8/1344 - h**7/420 + h**6/240 + h**5/60 - h**4/96 - h**3/12 + 17*h**2. Solve w(i) = 0 for i.
-2, -1, 1
Factor 2*j**2 - 2/3*j**4 + 10/3*j - 2/3*j**3 + 4/3.
-2*(j - 2)*(j + 1)**3/3
Suppose c - 14 + 1 = -5*s, 5 = 2*c + 3*s. Let j be (c/(-2))/(3/18). Factor -o + j*o**2 - 8 - 2*o + 2*o**4 - 5*o + 8*o**3.
2*(o - 1)*(o + 1)*(o + 2)**2
Let i be (24/15)/(-8)*(-10)/7. What is j in -5/7*j**5 + 1/7*j**2 + 0 + i*j - 13/7*j**4 - 9/7*j**3 = 0?
-1, 0, 2/5
Let x(u) be the second derivative of -u**7/189 - u**6/135 + u**5/45 + u**4/27 - u**3/27 - u**2/9 + 3*u. Factor x(q).
-2*(q - 1)**2*(q + 1)**3/9
Let w(n) = -n + 1. Let l(r) = -4 + 7 - 7*r**2 + 5*r**2 + 3*r + 0*r. Let z(t) = l(t) - 3*w(t). Factor z(d).
-2*d*(d - 3)
Let a = -10 - -17. Let f be 16/a + (-6)/21. Suppose 0*j**2 + 2*j**f - j**2 = 0. Calculate j.
0
Let f(n) be the second derivative of -n**5/35 + n**4/14 - n**2/7 + 21*n. Factor f(k).
-2*(k - 1)**2*(2*k + 1)/7
Suppose 0 = y - 5*y - 4*y. Suppose 3*m + 5*w + 4 = 0, 2*m + 3*w = 4*w + 6. Factor 0*q + 0*q**3 + 2/9*q**m + y - 2/9*q**4.
-2*q**2*(q - 1)*(q + 1)/9
Let u = -17 + 19. Let w(t) be the second derivative of 0 - 1/12*t**4 + t + 5/42*t**7 - 1/3*t**3 + 9/20*t**5 + 0*t**u + 13/30*t**6. Solve w(o) = 0.
-1, 0, 2/5
Let y(t) be the third derivative of t**8/90720 - t**7/22680 + t**5/20 + 4*t**2. Let g(z) be the third derivative of y(z). Factor g(s).
2*s*(s - 1)/9
Suppose 2*z + 8 - 32 = 0. Suppose 0*u = 4*u - z. Factor 3*y + 9*y**2 - 9*y**4 + 0*y**3 + 0*y - 2*y**u - y**3.
-3*y*(y - 1)*(y + 1)*(3*y + 1)
Let k(s) be the first derivative of 3 + 0*s - 1/6*s**4 + 0*s**2 + 0*s**3. Determine p, given that k(p) = 0.
0
Let z(f) be the third derivative of -f**6/50 + f**5/20 - f**4/40 - 5*f**2 + 7. Let z(b) = 0. What is b?
0, 1/4, 1
Let a(g) be the second derivative of 0 - 1/27*g**4 - 1/9*g**3 + 1/45*g**6 - 1/9*g**2 + 1/189*g**7 + 1/45*g**5 - 3*g. Solve a(f) = 0 for f.
-1, 1
Let l be -6*((-1)/(-2) - 0). Let n be l + 0 + (19 - 2). Suppose 10*k**2 + 4 + 3*k**4 + n*k + 0*k**4 + 10*k**3 + 8*k**2 - k**4 = 0. What is k?
-2, -1
Let z = -670741/46 - -14582. Let p = z + -4/23. Solve -p - d - 1/2*d**2 = 0 for d.
-1
Factor 6*a + 3/7 + 21*a**2.
3*(7*a + 1)**2/7
Let p(t) = -8*t**2 + 8*t + 6. Let y(u) = -2*u**3 + 4*u**2 - 2*u - 1. Let o be y(2). Let r(a) = -a**2 + a. Let k(w) = o*r(w) + p(w). Factor k(s).
-3*(s - 2)*(s + 1)
Factor 1/3*x**2 + 1/3*x**3 - 4/3*x - 4/3.
(x - 2)*(x + 1)*(x + 2)/3
Suppose v + 8 = 5*v. Let f(g) = 3*g**4 - 12*g**3 - 8*g**2 + 38*g + 27. Let s(p) = p**2 - p. Let o(z) = v*s(z) + f(z). Find c, given that o(c) = 0.
-1, 3
Let q(l) be the second derivative of 13*l**5/2 + 89*l**4/9 + 20*l**3/9 - 8*l**2/3 - 8*l. Solve q(i) = 0.
-2/3, -2/5, 2/13
Let i be -2*(484/(-240) - -2). Let t(h) be the second derivative of 0 + 0*h**2 + 2*h + 0*h**3 