 4/3*p**3.
2*(p - 1)**3*(p + 1)**2/3
Let g be 4/(-18) + (-45368)/45. Let n = g - -1012. Let 4/5*k**4 + 8/5*k + 0 + 24/5*k**2 + n*k**3 = 0. Calculate k.
-2, -1/2, 0
Determine y so that 1/3*y**4 + 32*y**2 + 256/3 + 256/3*y + 16/3*y**3 = 0.
-4
Suppose 0 = -2*p - u + 12, 0 = -u + 6*u. Let h(x) = -7*x**2 + 7*x - 4. Let s(n) = -n**2 + n - 1. Let a(c) = p*s(c) - h(c). Factor a(y).
(y - 2)*(y + 1)
Let o be 306/(-54) - 6*-1. Determine i, given that -1/3*i**5 - i**4 - i**3 + 0*i + 0 - o*i**2 = 0.
-1, 0
Let a = 39 - 4. Let r be (-21)/a - (-3)/5. Factor r*b - 2/7*b**2 + 0 + 0*b**3 + 2/7*b**4.
2*b**2*(b - 1)*(b + 1)/7
Let i(s) be the first derivative of -2*s - 2/5*s**5 + 0*s**2 + 0*s**4 + 3 + 4/3*s**3. Determine p, given that i(p) = 0.
-1, 1
Suppose -2*n + 7 = -1. Suppose -p + n = p. Factor 5/2*i**2 + 0 - p*i**3 - 1/2*i.
-i*(i - 1)*(4*i - 1)/2
Suppose 4*c + 4*u = 2*c, -5*c + 5*u - 45 = 0. Let o(k) = -k**3 + 10*k**2 - 9*k. Let q(t) = t**3 - 9*t**2 + 8*t. Let g(j) = c*o(j) - 7*q(j). Factor g(m).
-m*(m - 2)*(m - 1)
Let 1 - p**2 - 7/2*p**3 + 7/2*p = 0. Calculate p.
-1, -2/7, 1
Factor -1/2*i**5 + 1/2*i**3 + 1/2*i**2 + 0*i - 1/2*i**4 + 0.
-i**2*(i - 1)*(i + 1)**2/2
Let h(x) be the first derivative of 1/60*x**6 - 1/12*x**3 - 2*x + 0*x**2 - 1 - 1/24*x**4 + 1/40*x**5. Let p(s) be the first derivative of h(s). Factor p(q).
q*(q - 1)*(q + 1)**2/2
Let w(d) be the second derivative of -d**4/16 + 3*d**2/2 + 15*d. Factor w(y).
-3*(y - 2)*(y + 2)/4
Let y(v) = 16*v**2 + 19*v - 1. Let q(s) = -31*s**2 - 39*s + 1. Let d(t) = -4*q(t) - 9*y(t). Solve d(i) = 0 for i.
-1, 1/4
Let j(g) be the third derivative of g**6/30 - g**5/5 + g**4/2 - 2*g**3/3 + 18*g**2. Find q such that j(q) = 0.
1
Let m(h) be the third derivative of h**5/3 - h**4/3 + 5*h**2. Factor m(q).
4*q*(5*q - 2)
Suppose 5*w + i - 50 = -14, w - i = 12. Factor -3*l**2 + w - l**2 + 5*l - l + 0*l.
-4*(l - 2)*(l + 1)
Let s be 57/60 - (-6)/(-8). Let v(u) be the second derivative of 0 + u + 2/9*u**3 + 0*u**2 - s*u**5 - 1/18*u**4. Determine j, given that v(j) = 0.
-2/3, 0, 1/2
Let c(h) be the third derivative of h**5/240 + 5*h**4/96 + h**2 + 44*h. Factor c(b).
b*(b + 5)/4
Let j(f) be the first derivative of -2/9*f**3 - 1/12*f**4 - 1/6*f**2 + 3 + 0*f. Factor j(y).
-y*(y + 1)**2/3
Let h(y) = -3*y**2 + y. Let m(k) = k**2. Let n(a) = -2*h(a) - 5*m(a). Find l, given that n(l) = 0.
0, 2
Let i = 13 - 11. Let y(z) be the first derivative of -2/5*z**3 - 1/5*z**i - 2/25*z**5 + 0*z + 1 - 3/10*z**4. Find f, given that y(f) = 0.
-1, 0
Let j(i) be the first derivative of -3*i**5/25 - i**4/20 + 4*i**3/5 + 2*i**2/5 + 20. Factor j(p).
-p*(p - 2)*(p + 2)*(3*p + 1)/5
Suppose 24 = 2*x + 2*x. Let o(b) = -b**3 + 5*b**2 + 8*b - 9. Let w be o(x). Factor 1 + 3*j**2 + 3*j - 4*j**w + 0*j**3 + 5*j**3.
(j + 1)**3
Let s be -1 - -6*8/12. Determine d, given that -4*d**s - 4*d**3 - 4*d**2 + 6*d**3 = 0.
-2, 0
Find g, given that 4/5*g - 2/5*g**2 - 4/5*g**3 + 2/5*g**4 + 0 = 0.
-1, 0, 1, 2
Let c(o) be the third derivative of -1/3*o**3 + 1/8*o**4 + 0 - 5*o**2 + 0*o - 1/60*o**5. Factor c(d).
-(d - 2)*(d - 1)
Let i(d) = -d**3 + 6*d**2 + 7*d + 2. Let n(o) = -4*o**3 + 19*o**2 + 22*o + 6. Let s(q) = -21*i(q) + 6*n(q). Let s(y) = 0. What is y?
-2, -1
Let t(s) be the first derivative of 2*s**6/3 - 8*s**5/5 + 8*s**3/3 - 2*s**2 + 4. Factor t(o).
4*o*(o - 1)**3*(o + 1)
Let c(w) be the third derivative of -w**5/80 + 3*w**4/32 - w**3/4 - 6*w**2 + 6. Factor c(a).
-3*(a - 2)*(a - 1)/4
Let o(q) = q**3 - 9*q**2 + q - 6. Let s be o(9). Suppose s*z - 10 = -1. What is h in -16*h**4 - z*h**5 + 6*h**2 + 9*h**3 + 10*h**4 - 6*h**5 = 0?
-1, -2/3, 0, 1
Let n = 12 - 10. Let x(d) be the third derivative of 0*d + 1/21*d**3 + 0 - 2*d**n + 1/210*d**5 + 1/42*d**4. Factor x(w).
2*(w + 1)**2/7
Let l(v) = v**3 + 3*v**2 + 1. Let s(f) = -1. Let i(w) = -l(w) - 5*s(w). Let p(d) be the first derivative of i(d). Factor p(m).
-3*m*(m + 2)
Let m(x) = -x**2 - 5*x - 6. Let h be m(-2). Find y, given that -2/11 + h*y + 2/11*y**2 = 0.
-1, 1
Let j(k) be the third derivative of k**10/604800 + k**9/241920 - k**5/20 + 2*k**2. Let x(o) be the third derivative of j(o). Determine s, given that x(s) = 0.
-1, 0
Let c(y) = 2*y**3 + 6*y - 6. Let l(g) = g + 2. Let j(u) = -u - 3. Let a(o) = 3*j(o) + 4*l(o). Let m(d) = 6*a(d) - c(d). Factor m(v).
-2*v**3
Let t(y) be the second derivative of -y**6/90 - 2*y**5/15 - 11*y**4/18 - 4*y**3/3 - 3*y**2/2 + 18*y. What is b in t(b) = 0?
-3, -1
Let v(m) be the third derivative of -m**9/90720 - m**8/30240 + m**7/7560 + m**6/1080 - m**5/30 + m**2. Let b(j) be the third derivative of v(j). Factor b(r).
-2*(r - 1)*(r + 1)**2/3
Suppose o - 4 = 5*o. Let h be ((1/3)/o)/(-1). Factor -h*r**2 + 0 - 2/3*r.
-r*(r + 2)/3
Let f(t) be the first derivative of t**4/10 - 2*t**3/5 + 8*t/5 + 14. Suppose f(q) = 0. Calculate q.
-1, 2
Determine z, given that -2*z**4 - 3*z**4 - 5*z**4 + 5*z**4 - 3*z**3 + 2*z**2 = 0.
-1, 0, 2/5
Let h(d) = 7*d**2 - 7. Let y(c) = 13*c**2 + c - 3 - 10 - c. Let w(n) = 11*h(n) - 6*y(n). Solve w(f) = 0.
-1, 1
Let s(c) = -7*c**3 - c**2 + 2*c + 1. Let y(k) = 4*k**3 - k. Let f(t) = 3*s(t) + 5*y(t). Factor f(m).
-(m - 1)*(m + 1)*(m + 3)
Let m(a) = a**3 - 4*a**2 - 3*a + 7. Let k be m(3). Let y(g) = -6*g**2 - 11*g + 35. Let t(x) = 2*x**2 + 4*x - 12. Let r(h) = k*t(h) - 4*y(h). Factor r(v).
2*(v - 2)*(v + 2)
Let t(m) be the first derivative of m**6/21 - 2*m**5/35 - m**4/7 + 4*m**3/21 + m**2/7 - 2*m/7 + 1. Find o such that t(o) = 0.
-1, 1
Let a be (3/2 - -2) + -3. Suppose -1/4*p**5 + 0 - 1/4*p**3 + 0*p + 0*p**2 + a*p**4 = 0. What is p?
0, 1
Let x = 12 + 0. Let g = x - 9. Let -2*f**g + 2*f - 3*f**2 + 3*f**2 = 0. What is f?
-1, 0, 1
Let i = -10 + 14. Solve -12*r**2 - 36*r**3 + 0*r**i - 5*r**4 - 10*r**4 = 0.
-2, -2/5, 0
Let s(g) be the first derivative of g**6/42 + 2*g**5/35 - 4. Factor s(f).
f**4*(f + 2)/7
Suppose 4*v - 17 = -61. Let x = -9 - v. Solve 0*q**x + 0*q + 2/3*q**3 + 0 + 1/3*q**4 - q**5 = 0 for q.
-2/3, 0, 1
Let f(n) be the third derivative of -16*n**7/945 + 2*n**6/135 - n**5/270 + 3*n**2. Factor f(a).
-2*a**2*(4*a - 1)**2/9
Let i(j) be the third derivative of 0*j**6 - 1/105*j**7 + 0*j + 3*j**2 + 0 + 0*j**4 + 0*j**3 + 1/30*j**5. Factor i(o).
-2*o**2*(o - 1)*(o + 1)
Let l = -11 - -11. Let r(o) be the second derivative of 1/24*o**3 + 1/48*o**4 + 0 + 3*o + l*o**2. What is g in r(g) = 0?
-1, 0
Let m(i) be the third derivative of i**5/12 + 7*i**4/24 + i**3/3 - 6*i**2. Factor m(l).
(l + 1)*(5*l + 2)
Factor -10/3*n**2 + 4/3*n + 0 + 8/3*n**3 - 2/3*n**4.
-2*n*(n - 2)*(n - 1)**2/3
Suppose 12 - 15*y**2 - 15*y**3 + 3*y**4 - 5*y**5 + y**5 - 7*y**5 + 12*y + 14*y**5 = 0. What is y?
-2, -1, 1, 2
Determine o, given that 0*o + 1/3*o**5 - 7/3*o**3 - 4/3*o**2 - 2/3*o**4 + 0 = 0.
-1, 0, 4
Let x = 3 + -6. Let r be 2 + (3 - 5) - x. Factor r*l**2 - 2 + 2.
3*l**2
Let w = 7 - 4. Factor -3 + w + 8 + 2*t**2 - 2*t - 6*t.
2*(t - 2)**2
Suppose -2/3*p**2 + 2/3 + 0*p = 0. Calculate p.
-1, 1
Let a be 3 - 0*1/(-1) - 0. Suppose -a*m**2 + 9*m - 9 + 1/3*m**3 = 0. Calculate m.
3
Factor 4 - 148*y**2 - 4 - 172*y**2 + 240*y**3 + 75*y**4 + 5*y**5.
5*y**2*(y - 1)*(y + 8)**2
Let j(v) = 2*v**2 - 27*v + 87. Let m be j(5). Factor 0*x + 0 - 4/7*x**m + 4/7*x**3.
4*x**2*(x - 1)/7
Let g be 1*2 + (-669)/24. Let p = -1321/56 - g. Factor p*q**4 - 2/7*q - 24/7*q**3 + 0 + 12/7*q**2.
2*q*(2*q - 1)**3/7
Let l(j) be the first derivative of 4*j**5/25 - 4*j**3/15 + 13. Factor l(x).
4*x**2*(x - 1)*(x + 1)/5
Let o = 59/2 + -29. Factor 2*p - 2 - o*p**2.
-(p - 2)**2/2
Let j(y) = 15*y**2 + 420*y + 405. Let t(o) = o**2 + 30*o + 29. Let l(a) = -6*j(a) + 85*t(a). Find f such that l(f) = 0.
-1, 7
Let p(x) be the first derivative of x**3/12 - 7*x**2/8 + 3*x/2 - 28. What is d in p(d) = 0?
1, 6
Let c(v) be the third derivative of -v**7/1120 + v**6/960 + 5*v**4/24 + 3*v**2. Let r(z) be the second derivative of c(z). Factor r(h).
-3*h*(3*h - 1)/4
Factor 4/7*w**3 + 12/7*w**2 - 36/7*w + 20/7.
4*(w - 1)**2*(w + 5)/7
Let p(m) be the first derivative of 3*m**5/25 + m**4/2 + 4*m**3/5 + 3*m**2/5 + m/5 + 16. Solve p(z) = 0.
-1, -1/3
Let f(d) = -d**2 - 19*d. Let v be f(-19). Let b(u) be the third derivative of -1/24*u**3 + 2*u**2 - 1/240*u**5 + 1/48*u**4 + v + 0*u. Factor b(z).
-(z - 1)**2/4
Let y(a) = a**2 - 4*a - 5. Let j(r) = 4*r**2 - 16*r - 20. Let i(s) = 