**4 - 4*p**3 + 5*p**2 + 11*p**2 - 2 + 6 + c*p**5 - 14*p = 0.
-2, 1
Let x(m) = -m**2 + 3*m. Let d(u) = u. Let b(q) = 4*d(q) - x(q). Solve b(g) = 0.
-1, 0
Let w(c) = 4*c**4 - 29*c**3 + 47*c**2 - 48*c + 16. Let q(a) = -2*a**4 + 14*a**3 - 24*a**2 + 24*a - 8. Let h(z) = -10*q(z) - 4*w(z). Find d such that h(d) = 0.
1, 2
Factor -1029/5*i**5 + 96/5 + 912*i**2 - 1104/5*i + 4998/5*i**4 - 7896/5*i**3.
-3*(i - 2)**2*(7*i - 2)**3/5
Let b = -15 - -15. Suppose b*x + 8 = 4*x. Solve 1/4*a + 3/4*a**x + 0 + 1/4*a**4 + 3/4*a**3 = 0.
-1, 0
Let m(b) be the second derivative of 0 + 1/4*b**4 + 0*b**5 + 7*b + 0*b**2 - 1/10*b**6 + 0*b**3. Factor m(x).
-3*x**2*(x - 1)*(x + 1)
Let k be 7/((-7)/12) + 0. Let c be -8 - k - 8/3. Factor -7/3*r**3 - 2/3*r**2 + 0 + 1/3*r - c*r**4.
-r*(r + 1)**2*(4*r - 1)/3
Let i = -4/3 - -11/6. Solve -i*l - 1/2*l**3 - l**2 + 0 = 0 for l.
-1, 0
Find g such that -2/3*g - 3*g**2 + 3*g**4 + 0 - 5/3*g**3 + 7/3*g**5 = 0.
-1, -2/7, 0, 1
Suppose -81*a + 79*a = 0. What is j in 8*j**2 + 22/3*j**3 + a + 8/3*j + 2*j**4 = 0?
-2, -1, -2/3, 0
Let n be 14*2/4*1. Suppose 0 = -n*k + 4*k. Factor k + 1/4*a**2 - 1/4*a.
a*(a - 1)/4
Suppose -165 = -2*r - 3*r. Let b = r + -31. Find h such that 2/11*h + 0 - 2/11*h**b = 0.
0, 1
Let k = 190/303 + 4/101. Suppose 2/3*h**2 + 0 + k*h = 0. What is h?
-1, 0
Let p be 2/(-3) + 19/24. Let y(s) be the first derivative of 1/2*s**3 + 1/2*s + 3/4*s**2 + p*s**4 - 2. Suppose y(j) = 0. What is j?
-1
Let f(c) be the first derivative of 9*c**4/4 + 2*c**3 + 7*c**2/2 - 1. Let b(n) = -3*n + 3*n - 2*n + 3*n. Let x(d) = 6*b(d) - f(d). Let x(m) = 0. What is m?
-1/3, 0
Suppose -3*i - 3*i = 0. Suppose 0 - 2/15*b**2 + 2/15*b**4 + i*b + 0*b**3 = 0. Calculate b.
-1, 0, 1
Let n(b) be the second derivative of 0*b**2 + 0 + 1/60*b**4 + 1/30*b**3 + 5*b. Find k such that n(k) = 0.
-1, 0
Let n(z) be the second derivative of -z**5 + 17*z**4/3 - 4*z**3 - 22*z. Factor n(a).
-4*a*(a - 3)*(5*a - 2)
Let d(y) be the third derivative of y**8/280 - 13*y**7/1260 + y**5/60 - 5*y**4/12 + y**2. Let l(z) be the second derivative of d(z). Let l(h) = 0. Calculate h.
-1/4, 1/3, 1
Let i(p) = 6*p**5 - 7*p**3 + 23*p**2 + 11. Let o(x) = -3*x**5 + 3*x**3 - 12*x**2 - 6. Let m(q) = 6*i(q) + 11*o(q). Factor m(n).
3*n**2*(n - 1)**2*(n + 2)
Let i(l) be the first derivative of 16*l**3/3 + 4*l**2 + l + 10. Factor i(o).
(4*o + 1)**2
Factor -753*r + 0*r**3 - r**4 + 3*r**3 + 4*r**4 - 3*r**2 + 750*r.
3*r*(r - 1)*(r + 1)**2
Suppose -4*h + 0*n + n = -13, -3*h = -4*n - 26. Factor h*b**5 - b**4 - b**4 - 2*b**3 + 2*b**3.
2*b**4*(b - 1)
Suppose -5*h - h + 264 = 0. Let n be (-34)/h - (-6)/4. Suppose 2/11 - 10/11*s + n*s**2 = 0. Calculate s.
1/4, 1
Let p(y) = 4*y**2 + 10*y - 9. Let t(i) = 5*i**2 + 11*i - 10. Let s(o) = 6*p(o) - 5*t(o). Find b, given that s(b) = 0.
1, 4
Let m = -16 + 22. Suppose -4 - m = -3*n - 4*c, 0 = 2*n + 3*c - 7. Find i such that 0*i**2 - i**2 + i**4 + 0*i**n = 0.
-1, 0, 1
Let t be (-5 - -2) + (-15)/(-5). Let w(i) be the third derivative of 1/120*i**5 - i**2 + 0 + t*i**4 + 0*i + 0*i**3. Factor w(c).
c**2/2
Let z(h) be the second derivative of -h**7/420 + h**6/120 - h**2/2 + 2*h. Let k(g) be the first derivative of z(g). Determine x, given that k(x) = 0.
0, 2
Suppose -20 = 2*r - 7*r. Factor r*x - 3*x + 2*x**2 - 2 + 2*x**3 - 6*x**3 + 3*x**3.
-(x - 2)*(x - 1)*(x + 1)
Let g be ((-2)/4)/(2 + 36/(-8)). Find q, given that g*q + 0 + 1/5*q**2 = 0.
-1, 0
Suppose -2*s + 0*s + 14 = 4*w, -2*s + 11 = w. Determine i so that -i**3 - 21*i + 21*i + i**s = 0.
-1, 0, 1
Let n = 51 - 51. Let r(w) be the first derivative of 0*w + n*w**4 - 1/6*w**3 - 3 + 0*w**2 + 1/10*w**5. Find h such that r(h) = 0.
-1, 0, 1
Suppose 1 = -5*s - 34. Let x be 1*(s/4)/(-7). Factor -h**2 - 5/4*h - x*h**3 - 1/2.
-(h + 1)**2*(h + 2)/4
Suppose 3*v + 4 = 16. Let r(b) = -6 - 2*b + 5*b**2 + 4*b - b**2. Let a(d) = 3*d**2 + 2*d - 5. Let o(p) = v*r(p) - 5*a(p). Determine s so that o(s) = 0.
1
Let n(g) be the third derivative of g**8/11520 + g**7/2240 + g**6/1440 - g**5/60 - g**2. Let y(f) be the third derivative of n(f). Factor y(k).
(k + 1)*(7*k + 2)/4
Let k = -9 + 12. Factor -2*n - 4*n**4 + 2 + 12*n**k - 4*n**2 + 0*n**2 - 2*n**2 - 2*n**3.
-2*(n - 1)**3*(2*n + 1)
Let s = -10 - -17. Suppose 0 = -s*d + 3*d. Factor 2*k**5 + 2*k**3 - 2*k**3 + 4*k**4 + d*k**4 + 2*k**3.
2*k**3*(k + 1)**2
Let x(n) be the third derivative of -n**7/21 + 3*n**6/8 - 11*n**5/12 + 10*n**3/3 + 9*n**2. Determine o, given that x(o) = 0.
-1/2, 1, 2
Let z = 7 - 3. Suppose 5*l - z = l. Let -3/2*o**3 - 11/4*o**2 + o + l + 9/4*o**4 = 0. Calculate o.
-2/3, 1
Let b be (-1)/(-4) - (-3483)/684. Let v = b + 3/19. Let -1/2 + 9/2*j**2 - v*j**3 + 2*j**4 - 1/2*j = 0. What is j?
-1/4, 1
Let s(j) be the third derivative of -j**5/80 + j**4/8 - 3*j**3/8 + 8*j**2. Factor s(t).
-3*(t - 3)*(t - 1)/4
Let x(b) be the third derivative of 0*b**5 + 0 - 1/60*b**6 - b**2 + 1/4*b**4 - 2/3*b**3 + 0*b. Suppose x(a) = 0. Calculate a.
-2, 1
Let j(n) be the first derivative of 2*n**3/3 - 2*n + 3. Factor j(i).
2*(i - 1)*(i + 1)
Let p(z) be the second derivative of -3*z**4/4 - z**3 - 9*z**2/2 - 5*z. Let w(r) = 19*r**2 + 12*r + 19. Let s(l) = 13*p(l) + 6*w(l). Solve s(i) = 0.
-1
Let x = -69 - -69. Factor 0*r - 1/2*r**3 - 1/2*r**4 + 1/2*r**5 + 1/2*r**2 + x.
r**2*(r - 1)**2*(r + 1)/2
Let v(c) = 4*c**3 + 6*c**2 + 6*c + 2. Let s(b) = b**3. Let q(g) = -2*s(g) + v(g). Factor q(m).
2*(m + 1)**3
Let c(h) = -h**2 + 11*h - 14. Let i(k) = -k + 1. Let r(s) = -c(s) - 5*i(s). Factor r(w).
(w - 3)**2
Solve 1/2*q**3 + 0 + 3/8*q**2 + 1/8*q**4 + 0*q = 0.
-3, -1, 0
Let s(j) be the second derivative of -3*j + 0 + 1/3*j**2 - 1/6*j**3 + 1/36*j**4. Factor s(b).
(b - 2)*(b - 1)/3
Let v(m) be the first derivative of -2 - 10*m**2 - m**4 - 16/3*m**3 - 8*m. Suppose v(n) = 0. What is n?
-2, -1
Let n(d) = 2*d**4 + 2*d**3 - 14*d**2 - 2*d + 6. Let w(t) = -t**4 - t**3 - t**2 + t - 1. Let z(o) = -n(o) + 2*w(o). Solve z(u) = 0.
-2, -1, 1
Let q(r) be the first derivative of -r**6/360 + r**4/24 - r**3/9 - 3*r**2/2 + 1. Let a(d) be the second derivative of q(d). Factor a(m).
-(m - 1)**2*(m + 2)/3
Let n(h) be the second derivative of h**7/42 - h**6/15 + h**4/6 - h**3/6 - 7*h. Find q, given that n(q) = 0.
-1, 0, 1
Let g(p) be the third derivative of -p**6/120 + p**5/20 - p**4/12 + 13*p**2. Factor g(d).
-d*(d - 2)*(d - 1)
Suppose 5*b - 21 = -3*u, -4*u + b + 3*b = 4. Factor 2/3*s**u + 2/3*s**3 - 2/3*s + 0 - 2/3*s**4.
-2*s*(s - 1)**2*(s + 1)/3
Let p be ((-2)/(-6) - 1)/(40/(-48)). Factor p*b**2 - 2/5*b**3 - 2/5*b + 0.
-2*b*(b - 1)**2/5
Let s(o) be the second derivative of o + 0 - 1/5*o**5 - 1/24*o**3 - 1/6*o**4 + 0*o**2. Let s(q) = 0. What is q?
-1/4, 0
Let d = 18 - -29. Let z = d + -233/5. Find q, given that 6/5*q**2 + 4/5*q + 0*q**3 - z*q**4 + 0 = 0.
-1, 0, 2
Let m be 2/(-16) + 13/(-24). Let d = m - -4/3. Factor 4/3*g**3 - 2/3*g**2 + 0*g - d*g**4 + 0.
-2*g**2*(g - 1)**2/3
Let l(p) be the third derivative of p**5/360 + p**4/72 - p**3/12 + 26*p**2. Factor l(m).
(m - 1)*(m + 3)/6
Let j(c) be the second derivative of -5*c**7/42 - c**6/3 + c**5/4 + 5*c**4/6 - 18*c. Solve j(f) = 0.
-2, -1, 0, 1
Suppose 0 = -0*a + 4*a + 8, 0 = -5*o + a + 37. Let u = o + -5. What is i in -1/3*i**u + 0*i + 1/3 = 0?
-1, 1
Suppose t + 3 = 4. Let x(b) be the first derivative of 0*b**2 - t - 2/15*b**3 + 2/5*b. Determine k, given that x(k) = 0.
-1, 1
Let a(g) = -g**3 + 1. Let u(n) be the second derivative of -n**6/10 + 7*n**5/20 + n**4/6 - 2*n**3/3 - n**2 - 5*n. Let k(o) = 3*a(o) + u(o). Factor k(y).
-(y - 1)**2*(y + 1)*(3*y - 1)
Let l be 24/9*(15/70 + 0). Determine j so that -2*j**4 + 6/7*j**3 + 6/7*j**2 + 0 + 6/7*j**5 - l*j = 0.
-2/3, 0, 1
Let w be (-5)/(-3)*(-636)/(-530). Factor 1/4*y**w + 1 - y.
(y - 2)**2/4
Let s(w) be the second derivative of -4*w**6/75 + 7*w**5/50 - w**4/15 - w**3/15 - 16*w. Solve s(u) = 0.
-1/4, 0, 1
Let j(q) be the third derivative of q**8/168 - q**7/105 - q**6/20 + q**5/30 + q**4/6 + 5*q**2. Factor j(c).
2*c*(c - 2)*(c - 1)*(c + 1)**2
Solve -18/5 + 1024/15*r**3 - 384/5*r**2 + 144/5*r = 0.
3/8
Suppose 0 = -2*f + 15*t - 17*t + 12, -t = 4*f - 15. Factor 0*c**2 + 0 + 2/11*c**f - 8/11*c.
2*c*(c - 2)*(c + 2)/11
Let r(h) = -h**5 + h**3 - h**2 + h - 1. Let t(o) = -10*o**5 - 16*o**4 - 10*o**3 + 2*o**2 + 26*o + 2. Let c(p) = -6*r(p) + t(p). Find