 g(z) = -2*z**5 - 8*z**4 - 4*z**3 + 4*z**2 + 4*z. Let h(q) = -g(q) - 2*r(q). Factor h(t).
2*(t - 1)*(t + 1)**4
Let q(b) be the third derivative of b**2 - 1/18*b**4 - 1/90*b**5 - 1/9*b**3 + 0*b + 0. Find j such that q(j) = 0.
-1
Let r(u) = u**3 + 3*u**2 - 4*u + 12. Let j be r(-5). Let x = 21 + j. Factor 6/5*t**2 + 0 - 2/5*t**x - 4/5*t.
-2*t*(t - 2)*(t - 1)/5
Suppose -2*l - 2*l + 8 = 0. Factor 1 - 4*s + 2*s**2 + 4*s**3 - 1 + 2*s**4 - 4*s**l.
2*s*(s - 1)*(s + 1)*(s + 2)
Let d(t) be the second derivative of t**4/24 + t**3/2 - 7*t**2/4 - 8*t. Factor d(z).
(z - 1)*(z + 7)/2
Determine i so that -45*i**2 - 27/5 - 27*i - 25*i**3 = 0.
-3/5
Factor -1/2*n + 3/4 - 1/4*n**2.
-(n - 1)*(n + 3)/4
Determine k, given that 441*k - 8*k**3 + 38*k**2 + 11*k**3 + 25*k**2 + 1029 = 0.
-7
Let r(a) = a - 2. Let q be r(2). What is f in -f + q*f - f**2 - 2*f - 2*f**2 = 0?
-1, 0
Suppose -3*c + 125 - 16 = 5*z, 0 = 2*z + 2*c - 42. Let u be (-2)/8 + z/28. Let 2/7 + 4/7*f**3 + 2/7*f**5 - 6/7*f + u*f**2 - 6/7*f**4 = 0. Calculate f.
-1, 1
Let g = 293/4728 + -4/197. Let t(f) be the third derivative of -1/24*f**4 + 0 + 0*f**3 + 0*f - g*f**6 - 1/15*f**5 + 2*f**2 - 1/105*f**7. What is j in t(j) = 0?
-1, -1/2, 0
Let o(n) be the first derivative of -n + 1/30*n**4 + 1/15*n**3 + 0*n**2 + 2. Let i(t) be the first derivative of o(t). Factor i(q).
2*q*(q + 1)/5
Let v(m) = m + 8. Let i be v(-6). Let q(a) be the first derivative of 3 - 2/15*a**3 + 0*a + 1/5*a**i. What is z in q(z) = 0?
0, 1
Let a(h) be the third derivative of -h**5/300 - h**4/30 - h**2 + 9*h. Factor a(b).
-b*(b + 4)/5
Suppose 0 = -0*v - 2*v. Suppose -2*i - h = 2*h - 19, 5*i + 4*h - 30 = v. Factor 0*w + 2/5*w**3 + 0*w**i + 0.
2*w**3/5
Let f(l) be the second derivative of -l**5/4 + 5*l**4/12 + 5*l**3/3 - 19*l. Factor f(d).
-5*d*(d - 2)*(d + 1)
Suppose -1913 = -10*m + 117. Let y = -601/3 + m. Suppose y*a + 2/3*a**2 + 8/3 = 0. What is a?
-2
Let y(v) be the second derivative of -v**7/126 - v**6/30 - v**5/30 + v**4/18 + v**3/6 + v**2/6 + 7*v. Solve y(c) = 0 for c.
-1, 1
Let a(f) = f - 8. Let k be a(12). Let h(w) be the second derivative of 1/9*w**3 + 0 + 1/36*w**k + 0*w**2 - w. Factor h(n).
n*(n + 2)/3
Let n = 292 + -289. Factor g**n - g**2 + 1/2 - 1/2*g**5 - 1/2*g + 1/2*g**4.
-(g - 1)**3*(g + 1)**2/2
Let l(c) = 22*c**2 + 12. Let s(a) = 9*a**2 + 5. Suppose 1 = 2*n + 11. Let g(d) = n*l(d) + 12*s(d). Factor g(p).
-2*p**2
Let s(r) be the first derivative of r**8/1176 - r**7/735 - r**6/420 + r**5/210 - r**2 + 3. Let m(p) be the second derivative of s(p). Let m(n) = 0. What is n?
-1, 0, 1
Let h(f) be the third derivative of f**5/75 - f**4/30 - 4*f**3/15 - 2*f**2. Suppose h(v) = 0. Calculate v.
-1, 2
Let r = -90 + 92. Let g(b) be the first derivative of -1/6*b + 1/18*b**3 + 0*b**2 + r. Find v such that g(v) = 0.
-1, 1
Let w be 12*((-5)/2)/(-5). Let j be (-1)/((-15)/w + 2). Factor 6*k**2 + 2*k + 0*k**2 - 8*k**3 + 0*k**j.
-2*k*(k - 1)*(4*k + 1)
Let h(q) be the first derivative of q**6/51 + 8*q**5/85 + 5*q**4/34 + 4*q**3/51 + 15. Find s, given that h(s) = 0.
-2, -1, 0
Let 8*a**3 - 10*a + 45*a**2 - 53*a**3 + 10*a**2 + 0*a = 0. What is a?
0, 2/9, 1
Let b(h) = -h**4 - h**3 - h**2 - h + 1. Let k(t) = -t**5 + 9*t**4 + 4*t**3 + 4*t**2 + 9*t - 7. Let j(c) = 6*b(c) + k(c). What is u in j(u) = 0?
-1, 1
Suppose -5*l - 12 = w, w = -5*l + 3*w - 6. Let o be 3/l*(-4)/3. Factor 6*z - 6*z**3 + 3 - 4*z - o*z**2 + 4*z - 1.
-2*(z - 1)*(z + 1)*(3*z + 1)
Let n = 374 + -1135/3. Let c = n - -5. Solve 0 - 10/3*r**3 + 4/3*r + 2*r**5 + 2/3*r**4 - c*r**2 = 0 for r.
-1, 0, 2/3, 1
Let k(t) = -7*t**5 - 8*t**4 - 7*t**3 + 3*t**2 + 3*t - 3. Let q(u) = -20*u**5 - 24*u**4 - 20*u**3 + 8*u**2 + 8*u - 8. Let r(x) = 8*k(x) - 3*q(x). Factor r(m).
4*m**3*(m + 1)**2
Suppose 3*s - 5*s + 6 = 0. Let d(m) be the first derivative of 4/5*m + 2/15*m**3 + 3/5*m**2 - s. Let d(k) = 0. Calculate k.
-2, -1
Let j(r) be the first derivative of r**4/10 - r**2/5 + 16. Find s such that j(s) = 0.
-1, 0, 1
Let n(b) = -5*b**3. Let j be n(1). Let k = 10 + j. Let v(a) = 6*a**2 - 3*a. Let x(p) = -3*p**2 + 2*p. Let q(h) = k*v(h) + 9*x(h). Factor q(m).
3*m*(m + 1)
Let a(t) = -3*t**4 - 5*t**3 - 5. Let j(o) = 9*o**3 + 6 + 3*o**4 - 3*o**4 + 3*o**4 - 3*o**3. Let x(k) = -6*a(k) - 5*j(k). Factor x(r).
3*r**4
Let k(v) be the second derivative of v**5/10 + 4*v**4/3 + 16*v**3/3 - 65*v. Factor k(u).
2*u*(u + 4)**2
Let c(b) = b**5 + b**3 + b**2 - 1. Let n = 10 - 7. Let t(s) = s**5 - 4*s**4 - 4*s**3 - 2*s**2 - s - 2. Let j(z) = n*t(z) - 6*c(z). Suppose j(h) = 0. What is h?
-1, 0
Let k(d) = d**2 - d + 2. Let i be k(3). Factor -i*w**3 + 5*w**2 + 7*w**5 + 5*w**3 + 2*w - 6*w**3 - 5*w**4.
w*(w - 1)**2*(w + 1)*(7*w + 2)
Find f, given that f**5 - 4*f**3 - 2*f**3 + 9 + 8*f**2 - 2*f**2 + 4*f**2 - 3*f**4 + 21*f = 0.
-1, 3
Let m(f) = 30*f**4 - 24*f**3 - 12*f**2 + 6*f - 3. Let j(x) = 60*x**4 - 49*x**3 - 23*x**2 + 12*x - 5. Let r(o) = 3*j(o) - 5*m(o). Solve r(w) = 0 for w.
-1/2, 0, 2/5, 1
Let m(t) be the second derivative of -t**4/66 + 2*t**3/33 - 42*t. Factor m(d).
-2*d*(d - 2)/11
Let t**2 + 2*t**3 + 2*t**2 + 2*t**2 - t**2 = 0. Calculate t.
-2, 0
Let t(z) = -z**5 - z**4 - z**3 + z**2 - z. Let i(n) = -3*n**5 - 3*n**4 - 10*n**3 + 6*n**2 + n - 3. Let r(c) = -i(c) + 4*t(c). Factor r(p).
-(p - 1)**3*(p + 1)*(p + 3)
Let n = 1699/110 - 160/11. Let m(j) be the second derivative of -n*j**5 + 0*j**3 - 9/10*j**6 + 0*j**2 - 4*j + 0 - 1/4*j**4. Factor m(c).
-3*c**2*(3*c + 1)**2
Let c = 120/23 + -217/46. Let -c*a**3 - 9/2*a + 0 + 3*a**2 = 0. Calculate a.
0, 3
What is x in 0 + 27/7*x**3 + 36/7*x**2 + 12/7*x = 0?
-2/3, 0
Let j(x) be the second derivative of -2*x**6/15 + 7*x**5/5 - 5*x**4 + 6*x**3 - x. Find s, given that j(s) = 0.
0, 1, 3
Let a(l) be the first derivative of 3*l**4/20 + l**3/5 - 3*l**2/5 - 9. Find z, given that a(z) = 0.
-2, 0, 1
Suppose 3*h = 2 + 1, h + 3 = b. Let a(j) be the first derivative of 0*j**2 + 2/9*j**3 - 2/15*j**5 + 1/9*j**6 - 1 - 1/6*j**b + 0*j. Solve a(p) = 0.
-1, 0, 1
Let j(r) be the third derivative of 1/50*r**5 + 1/15*r**4 - 1/525*r**7 + 0*r - 1/150*r**6 - 4/15*r**3 + r**2 + 0. Determine b so that j(b) = 0.
-2, 1
Let p = 2/31 + 27/62. Determine v, given that -p + v**2 + 1/2*v = 0.
-1, 1/2
Suppose 105 = -0*h + h. Suppose h = 5*o - 175. Suppose -2*r**2 - 56*r**3 - r**5 + 2*r**4 + o*r**3 + r = 0. Calculate r.
-1, 0, 1
Let r be -3*((-2)/(-1))/(-2). Find p, given that 6*p**2 - 55*p + r*p**4 + 55*p - 9*p**3 = 0.
0, 1, 2
Let o(j) be the first derivative of -j**6/15 + 4*j**5/25 - 4*j**3/15 + j**2/5 + 8. Factor o(q).
-2*q*(q - 1)**3*(q + 1)/5
Let 0 - 2/9*d**5 + 2*d - 4/3*d**2 - 16/9*d**3 + 4/3*d**4 = 0. Calculate d.
-1, 0, 1, 3
Let r(u) be the first derivative of u**3/3 - u**2/2 + 1. Let r(w) = 0. Calculate w.
0, 1
Factor -10/3*u**2 + 2/3*u - 2/3*u**3 + 10/3.
-2*(u - 1)*(u + 1)*(u + 5)/3
Let n = -139 - -279/2. Factor -3*a**2 - 1/2 + 2*a - n*a**4 + 2*a**3.
-(a - 1)**4/2
Factor 3 + 43*u - 4*u**2 + 7*u**2 - 37*u.
3*(u + 1)**2
Let s = 28 + -25. Let h(a) be the third derivative of -1/10*a**5 - a**2 + 0 - 1/4*a**4 - 1/60*a**6 + 0*a - 1/3*a**s. Factor h(w).
-2*(w + 1)**3
Let o = 70 - 70. Factor -1/2*s**3 - 1/4*s**2 + o + 0*s - 1/4*s**4.
-s**2*(s + 1)**2/4
Let b(a) be the third derivative of a**8/840 + a**7/420 - a**6/90 + 5*a**3/6 + a**2. Let z(q) be the first derivative of b(q). Factor z(m).
2*m**2*(m - 1)*(m + 2)
Let k(s) be the first derivative of -s**4/22 - 14*s**3/11 - 9*s**2 + 22*s - 25. Factor k(r).
-2*(r - 1)*(r + 11)**2/11
Let d = 3 + 1. Let y be (-3 - 2)*d/(-70). Determine o so that 0*o + 6/7*o**3 + 0 + y*o**2 = 0.
-1/3, 0
Let w(r) = -r**3 - r**2 + r. Let l(g) = 3*g**3 + 3*g**2 - 6*g. Let c(t) = -l(t) - 6*w(t). Solve c(b) = 0 for b.
-1, 0
Let h(y) be the second derivative of -y**5/80 + 5*y**4/48 - 7*y**3/24 + 3*y**2/8 - 39*y. Find c such that h(c) = 0.
1, 3
Let w = -1302807/14 + 5583259/60. Let q = 1/140 - w. What is m in -2*m**4 - q*m**2 - 2/3*m - 14/3*m**3 + 0 = 0?
-1, -1/3, 0
Let x(k) be the third derivative of 0*k**5 + 2/27*k**3 - 1/540*k**6 + 1/36*k**4 + 0*k - 3*k**2 + 0. Factor x(f).
-2*(f - 2)*(f + 1)**2/9
Suppose 0 = -3*n - 0*n + 18. Find q such that n*q + 0*q**2 - 2*q**2 - 14 + 10 = 0.
1, 2
Factor 0*p**2 - 1/3*p**3 + 0*p - 1/3*p**4 + 0.
-p**3*(p + 1)/3
Let u(x) = 35*x**3 + 55*x**2 + 20. Let y(g) = -5*g**3 