*x**3 - 1/3*x**2 + 0.
-x*(x - 1)*(x + 2)/3
Let g(t) be the third derivative of t**5/20 + t**4 + 8*t**3 - 31*t**2. Solve g(p) = 0.
-4
Let q(v) be the first derivative of -v**6/10 - 9*v**5/25 - 3*v**4/20 + 3*v**3/5 + 3*v**2/5 - 7. Let q(k) = 0. Calculate k.
-2, -1, 0, 1
Let c(o) = o**4 - 5 + o**3 + 2 - o**2 + o + 2. Let k(s) = 10*s**4 + 5*s**3 - 10*s**2 + s - 3. Let l(a) = -3*c(a) + k(a). Factor l(j).
j*(j - 1)*(j + 1)*(7*j + 2)
Let u = -7 + 10. Let g = u + -1. Factor -2/3 + 0*i + 2/3*i**g.
2*(i - 1)*(i + 1)/3
Let l be 25/(-20)*(-5 - -1). Let q(n) be the second derivative of 0 + 1/48*n**4 + 2*n + 0*n**3 + 0*n**2 + 1/20*n**l. Factor q(g).
g**2*(4*g + 1)/4
Let a = -8 + 40. Let -a*w - 3*w**2 - 6 + 7*w + 16*w = 0. What is w?
-2, -1
Suppose 4*p - 8 = -5*z, 3*z = 4*p - 6 - 2. Factor 0 - 1/2*n**2 + z*n.
-n**2/2
Let u(y) = y + 6. Let c be u(-3). Determine r so that r**2 - 8 + 9*r + 23*r**2 + 9*r**c + 2 = 0.
-2, -1, 1/3
Let y be 2/(-6) - (-128)/24. Let o(a) be the third derivative of 7/24*a**4 + 0 + 0*a - 1/3*a**3 - 1/12*a**y - a**2. Factor o(l).
-(l - 1)*(5*l - 2)
Let v(b) = -7 + 0 - 9*b + 8*b**2 - 3*b**3 - b**2. Suppose 0 = a - 0*a - 14. Let x(p) = -p - 1. Let n(w) = a*x(w) - 2*v(w). Solve n(g) = 0.
0, 1/3, 2
Let i(t) be the second derivative of t**7/21 - 2*t**6/15 - 2*t**5/5 + 4*t**4/3 - t. Solve i(g) = 0 for g.
-2, 0, 2
Let a(h) be the second derivative of 0*h**2 + 7*h - 4/3*h**3 + 0 - 1/3*h**4. Find w, given that a(w) = 0.
-2, 0
Let l(q) = q - 1. Let p be 6/4*(-26)/39. Let o(j) = 3*j**3 - 3*j**2 - 6*j + 6. Let d(h) = p*o(h) - 6*l(h). Factor d(n).
-3*n**2*(n - 1)
Suppose 4*w = 2*s + 84, 3*s = 2*w - s - 48. Suppose 5*t - w = -5. Solve 1/3 + 1/3*a**5 + 2/3*a**2 + 2/3*a**t - a - a**4 = 0.
-1, 1
Let r(q) be the third derivative of -q**6/360 - q**5/24 - q**4/6 + 2*q**3/3 + 8*q**2. Let s(b) be the first derivative of r(b). Suppose s(v) = 0. Calculate v.
-4, -1
What is y in -31*y**4 + 2*y**5 + 8*y**3 - 23*y**5 - 15*y**5 + 4 + 28*y - 29*y**4 + 56*y**2 = 0?
-1, -1/3, 1
Let v(b) be the second derivative of -6/5*b**5 + 0*b**3 + 0*b**2 + 9/14*b**7 + 0 - 3/10*b**6 - 4*b + b**4. Let v(u) = 0. Calculate u.
-1, 0, 2/3
Suppose -5*l = -0*l - 15. Suppose 3*t + 1 + 2 = -l*r, -2*t = -2*r - 10. Factor 2*j**2 - 2*j**3 - 3*j**t - j**2.
-2*j**2*(j + 1)
Let l(k) be the second derivative of 1/80*k**5 + 0 + 0*k**4 + k**2 - 2*k + 0*k**3. Let x(w) be the first derivative of l(w). Solve x(g) = 0.
0
Let -1/5*j**4 - 7/5*j**3 + 7/5*j**5 + 0*j + 0 + 1/5*j**2 = 0. What is j?
-1, 0, 1/7, 1
Let s(i) be the third derivative of i**8/70560 - i**6/630 - i**5/30 - 2*i**2. Let u(c) be the third derivative of s(c). Factor u(t).
2*(t - 2)*(t + 2)/7
Suppose -3*j + 2*c = -1, -3*j = 2*j + 4*c + 13. Let u be j/(-4) - (-6)/24. Factor 9/2 - 3*v + u*v**2.
(v - 3)**2/2
Let y(z) = z**3 - z**2 + 1. Suppose 2*n = 4*n + 4. Let x(r) = -2*r**3 + 2*r**2 + r - 2. Let q(g) = n*y(g) - 2*x(g). Suppose q(s) = 0. Calculate s.
-1, 1
Let z be 1/2 + 1/14*-1. Factor 0 - 3/7*w**2 + 0*w + z*w**3 + 6/7*w**4.
3*w**2*(w + 1)*(2*w - 1)/7
Suppose -m - 2 = y, 3*m + 7 = y - 7. Solve d**4 + 3*d**2 - 3*d**2 + 1 - 2*d**y = 0.
-1, 1
Let i = 491 + -489. Suppose -1/2*n**i - 1/2*n + 1/2 + 1/2*n**3 = 0. Calculate n.
-1, 1
Suppose -4*k = k - 20. Let m(y) be the first derivative of 2/15*y**3 + 0*y**2 + 1/20*y**k + 0*y - 1. Factor m(t).
t**2*(t + 2)/5
Factor -13*q - 3*q**3 - q**2 + 4*q**2 + 19*q.
-3*q*(q - 2)*(q + 1)
Factor 9*b**2 - b**4 + 3*b**2 + 4*b - 4*b**3 - 10*b**2 - b**4.
-2*b*(b - 1)*(b + 1)*(b + 2)
Factor 0 - 3/7*m**2 - 9/7*m.
-3*m*(m + 3)/7
Let l(w) be the second derivative of 3*w**5/20 + w**4/4 - w**3/2 - 3*w**2/2 + 13*w. Find y such that l(y) = 0.
-1, 1
Let b(v) be the third derivative of 0*v**5 + 0*v + 0 + 1/252*v**8 + 0*v**3 + 0*v**7 - 1/45*v**6 + 1/18*v**4 + 2*v**2. Determine g so that b(g) = 0.
-1, 0, 1
Let g(l) = -2*l**4 - 19*l**3 + 45*l**2 + 19*l - 53. Let r(h) = -3*h**4 - 18*h**3 + 45*h**2 + 18*h - 54. Let m(n) = -6*g(n) + 5*r(n). Let m(f) = 0. What is f?
-1, 1, 4
Factor -q - 2*q**2 - 10*q**3 - 3 + 11*q**3 + 5.
(q - 2)*(q - 1)*(q + 1)
Let z(l) be the first derivative of l**4/6 + 2*l**3/3 - 3*l - 2. Let x(w) be the first derivative of z(w). Factor x(t).
2*t*(t + 2)
Suppose 2*j + 19 = 5*k, -5*j + 0 = -k - 10. Find p, given that 3*p**4 + 0*p**k + 0*p**4 - 2*p**4 + p**5 = 0.
-1, 0
Factor 2/3 + 2/3*h**3 - 2/3*h - 2/3*h**2.
2*(h - 1)**2*(h + 1)/3
Let h(u) be the third derivative of -u**8/3360 + u**7/420 - u**6/120 + u**5/60 + u**4/12 + 3*u**2. Let g(v) be the second derivative of h(v). Factor g(p).
-2*(p - 1)**3
Let t(m) be the first derivative of -m**4/6 - 5*m**3/9 - 2*m**2/3 - m/3 - 3. Factor t(j).
-(j + 1)**2*(2*j + 1)/3
Suppose d = -4*d - 5. Let p = 1 + d. Factor -1/3*w**3 + 0*w + 0*w**2 + p.
-w**3/3
Let y(d) be the second derivative of d**7/105 - 3*d**2/2 + 4*d. Let v(s) be the first derivative of y(s). Suppose v(w) = 0. Calculate w.
0
Let x(a) be the second derivative of -1/21*a**3 + 1/105*a**6 + 0*a**2 + 1/14*a**4 - 3*a - 3/70*a**5 + 0. Suppose x(d) = 0. What is d?
0, 1
Let o(c) be the first derivative of -1/4*c**6 + 2 + 3/5*c**5 - c**3 + 0*c**4 + 3/4*c**2 + 0*c. Factor o(a).
-3*a*(a - 1)**3*(a + 1)/2
Let q(t) be the first derivative of t**6 + 34*t**5/5 + 37*t**4/2 + 26*t**3 + 20*t**2 + 8*t - 50. Suppose q(b) = 0. What is b?
-2, -1, -2/3
Let x(k) = k**3 - 6*k**2 - 7*k + 4. Let d be x(7). Suppose -u + 3*u - d = 0. Factor -2/3*g**3 + 0*g - 2/3*g**u + 0.
-2*g**2*(g + 1)/3
Let b(k) be the second derivative of -k**7/42 - 7*k**6/30 - 19*k**5/20 - 25*k**4/12 - 8*k**3/3 - 2*k**2 + 3*k. Suppose b(u) = 0. What is u?
-2, -1
Let h(a) = -a**5 - 7*a**4 + 7*a**3 + 7*a**2 - 2*a. Let k(t) = -t**5 - 22*t**4 + 22*t**3 + 22*t**2 - 7*t. Let i(w) = -7*h(w) + 2*k(w). Let i(m) = 0. Calculate m.
-1, 0, 1
Let u = 2 - 2. Determine x, given that -2/3*x**4 + 0 + 2/3*x**3 + u*x + 0*x**2 = 0.
0, 1
Let h = -2/35 - -16/35. Let c(y) be the first derivative of 2/3*y**3 - 2 - y**4 + 0*y + h*y**5 + 0*y**2. Factor c(a).
2*a**2*(a - 1)**2
Factor 4/7*d - 6/7 + 2/7*d**2.
2*(d - 1)*(d + 3)/7
Let q(t) be the second derivative of -t**5/60 + t**4/12 - 2*t**2/3 - 10*t. Find l, given that q(l) = 0.
-1, 2
Let p(k) be the second derivative of k**7/378 + k**6/270 - k**5/90 - k**4/54 + k**3/54 + k**2/18 - 4*k. Factor p(z).
(z - 1)**2*(z + 1)**3/9
Suppose 9 = 3*m - 0. Suppose 5*v + y - 15 = 0, -m*y + 2 - 17 = -5*v. Factor -8*h**3 + 4*h**2 + 0*h**3 - 2*h**3 - 4*h**v.
-2*h**2*(7*h - 2)
Let p(g) be the second derivative of g + 0*g**2 + 0 + 1/10*g**3 + 1/20*g**4. Factor p(a).
3*a*(a + 1)/5
Let l(h) be the first derivative of 1/2*h**2 - 2 + 0*h + 0*h**3 - 1/4*h**4. Let l(t) = 0. Calculate t.
-1, 0, 1
Let d(v) be the third derivative of -v**8/1680 + v**7/420 - v**6/360 - v**3 - v**2. Let r(f) be the first derivative of d(f). Let r(h) = 0. Calculate h.
0, 1
Let o(v) be the third derivative of -1/672*v**8 + 0 + 0*v**4 + 1/240*v**6 + 0*v**5 + 0*v**3 + 0*v**7 - v**2 + 0*v. Determine p so that o(p) = 0.
-1, 0, 1
Let y(n) = -n**3 - n**2 - n - 1. Let m be y(-1). Let x(o) be the first derivative of m*o - 2/15*o**3 - 1 + 0*o**2. Factor x(c).
-2*c**2/5
Let f = 3 + 0. Factor 0*o**f - o + 3*o + 2*o**3 - 4*o**3.
-2*o*(o - 1)*(o + 1)
Let m(u) = u**2 + u - 1. Let v be m(2). Let g = -9/20 + 67/60. Solve 4/3*k**2 + 2/3*k + 0 + 0*k**3 - g*k**v - 4/3*k**4 = 0 for k.
-1, 0, 1
Let h be (-39)/12*-1 - 9/(-12). Let j(r) be the third derivative of 4*r**2 + 0*r + 1/9*r**3 + 1/90*r**5 + 1/18*r**h + 0. Factor j(b).
2*(b + 1)**2/3
Suppose -3*j = -4*j - 3*z + 18, 3*j - 5*z = -2. Factor 9*g**2 - g**3 - 2*g - j*g**2 + 0*g.
-g*(g - 2)*(g - 1)
Let a(l) be the first derivative of l**4/18 - 10*l**3/27 + 8*l**2/9 - 8*l/9 + 9. Solve a(h) = 0.
1, 2
Factor -p**3 + 1/2*p**2 + 0 + p - 1/2*p**4.
-p*(p - 1)*(p + 1)*(p + 2)/2
Let d(a) = a**2 - 11*a - 6. Let j be d(10). Let w = j - -21. Factor 2/7*g**w + 0 - 6/7*g**4 + 0*g + 6/7*g**3 - 2/7*g**2.
2*g**2*(g - 1)**3/7
Let t(z) be the third derivative of -z**8/20160 + z**7/7560 + z**6/2160 - z**5/360 + z**4/24 - 4*z**2. Let g(f) be the second derivative of t(f). Factor g(k).
-(k - 1)**2*(k + 1)/3
Let j(n) = -n + 3. Let x be j(0). Factor 3*d + 9*d**2 + 9*d**x + d**4 + 2*d**4 + 0*d**2.
3*d*(d + 1)**3
Let 128/9 - 32/9*q + 2/9*q**2 = 0. Calculate q.
8
Suppose -12 = 6*c - 4*c