 + 1/2*p**5 - p**2 - n + p**3 = 0.
-1, 1
Let a = -2/361 + 736/2527. What is n in -a*n**5 - 4/7*n**4 + 0 + 0*n**3 + 2/7*n + 4/7*n**2 = 0?
-1, 0, 1
Let u(g) = -6*g**4 + 25*g**2 + 13*g + 8. Suppose 2*t + 17 = 5. Let x(q) = -5*q**4 + q**3 + 24*q**2 + 14*q + 8. Let s(o) = t*u(o) + 7*x(o). Factor s(f).
(f + 1)*(f + 2)**3
Let z = 7/72 - -67/792. Factor -2/11*b + 0 + z*b**3 + 2/11*b**2 - 2/11*b**4.
-2*b*(b - 1)**2*(b + 1)/11
Factor -38*r**2 + 20*r**2 + 4*r**3 + 36*r - 16 - 6*r**2.
4*(r - 4)*(r - 1)**2
Let o(r) = 5*r**2 + 28*r - 30. Let a(z) = -z. Let f(x) = 3*a(x) + o(x). Factor f(k).
5*(k - 1)*(k + 6)
Suppose 2*u + 2*f + 6 = 0, 7 = -u - 2*f + 2. Let g(m) = 0*m - m - 1 + m**2 + 0*m. Let j(c) = 6*c**2 + 4*c + 2. Let l(z) = u*j(z) - 2*g(z). Factor l(s).
-2*s*(4*s + 1)
Suppose -7*j + 15 = -2*j. Suppose -3*m**2 + 37 + m**3 - 37 - 2*m**j - 2*m = 0. What is m?
-2, -1, 0
Let r(i) be the third derivative of 0*i**4 - 1/360*i**6 + 0*i**3 + 0*i + 0*i**5 - 6*i**2 + 0. Factor r(a).
-a**3/3
Suppose a + 14 = 3*a - 3*j, 5*a - 2*j - 24 = 0. Solve t**4 - 7*t**a + 2*t**2 - 6*t**5 - t**4 - 2*t**3 - 3*t**4 = 0.
-1, 0, 1/3
Let p(m) be the third derivative of -m**5/140 - m**4/7 - 8*m**3/7 + 6*m**2. Find w such that p(w) = 0.
-4
Let u(j) be the first derivative of -16*j**4/11 - 80*j**3/33 - 17*j**2/22 - j/11 - 38. Factor u(b).
-(b + 1)*(8*b + 1)**2/11
Let y(q) be the first derivative of 3*q**4/4 - q**3 + 7. What is i in y(i) = 0?
0, 1
Let t(h) be the third derivative of 2*h**7/105 + 2*h**6/15 + 2*h**5/5 + 2*h**4/3 + 2*h**3/3 + 11*h**2. Determine a so that t(a) = 0.
-1
What is i in 3 + 3*i**2 + 6*i - 4 + 1 = 0?
-2, 0
Factor -16/7*x + 2/7*x**4 + 4/7*x**3 + 0 - 8/7*x**2.
2*x*(x - 2)*(x + 2)**2/7
Let k = -147/20 - -31/4. Find v such that -k*v**2 - 2/5*v + 0 = 0.
-1, 0
Let -1/6*s**2 - 169/6 + 13/3*s = 0. What is s?
13
Let q(a) be the first derivative of a**4/10 - 2*a**3/5 + 2*a**2/5 - 6. Factor q(t).
2*t*(t - 2)*(t - 1)/5
Let j(o) be the third derivative of o**8/56 - 4*o**7/105 - o**6/15 + o**5/5 + o**4/12 - 2*o**3/3 - 13*o**2. Let j(m) = 0. Calculate m.
-1, -2/3, 1
Let p(x) = x + 1. Let h be p(2). Find r, given that 3*r**2 + 6*r**3 + 0*r**2 - h*r**3 = 0.
-1, 0
Suppose 9*y - 32 = -7*y. Factor -2/7 - 4/7*a - 2/7*a**y.
-2*(a + 1)**2/7
Suppose u + 6*u**2 + u**3 - 7*u**2 + 0*u**3 + 3*u**2 = 0. Calculate u.
-1, 0
Solve -q**4 + 73*q**2 + 0*q**5 - 73*q**2 - 2*q**3 + 3*q**5 = 0 for q.
-2/3, 0, 1
Let a(y) = -10*y**5 - 45*y**4 - 107*y**3 + 120*y**2 + 42*y - 6. Let s(k) = k**5 - k + 1. Let g(j) = -a(j) - 6*s(j). Factor g(n).
n*(n - 1)*(n + 6)**2*(4*n + 1)
Let x(m) = m**4 + m**2 - m - 1. Let y(l) = 5*l**4 - l**3 + 3*l**2 - 3*l - 4. Let i(q) = -4*x(q) + y(q). Find w, given that i(w) = 0.
-1, 0, 1
Let o(y) be the first derivative of y**7/280 + y**6/24 + 7*y**5/40 + 3*y**4/8 - 4*y**3/3 + 5. Let p(c) be the third derivative of o(c). Factor p(d).
3*(d + 1)**2*(d + 3)
Let v(p) be the third derivative of 2*p**2 + 0*p + 0 + 1/60*p**5 + 1/6*p**3 - 1/12*p**4. Factor v(l).
(l - 1)**2
Let f(d) be the second derivative of 0*d**4 + 0*d**3 + 1/30*d**6 - 1/20*d**5 + 0*d**2 - 2*d + 0. Factor f(k).
k**3*(k - 1)
Let q(p) be the second derivative of p**4/3 + p**3/2 - p**2/2 - 6*p. Solve q(c) = 0.
-1, 1/4
Let p(t) = 2*t + 12. Let c be p(-5). Suppose 6 = o - n, c*o - o - 10 = 2*n. Factor 1/2*w**4 + 0*w**3 - 1/2*w**o - 1/4*w**5 + 1/4*w + 0.
-w*(w - 1)**3*(w + 1)/4
Suppose a + 2*z = 8, -a + 5*z = -4*a + 20. Let g be (-2)/(1 - (a - -2)). Factor 5/2*x - 1/2 - g*x**2.
-(x - 1)*(4*x - 1)/2
Let q(a) be the first derivative of a**6/9 + 2*a**5/15 - 2. Factor q(k).
2*k**4*(k + 1)/3
Let g(z) = -z**4 + z + 1. Let l(n) = -2*n**5 + 3*n**4 + 4*n**3 - 5*n - 3. Let d(a) = -3*g(a) - l(a). Suppose d(c) = 0. Calculate c.
-1, 0, 1
Let w(j) = j**3 - 10*j**2 - j + 14. Let l be w(10). Factor -3*h**5 + h**4 + 7*h**l - 2*h**4.
-3*h**4*(h - 2)
Let f be 1*2*2/(-20)*-15. Find s such that -1/4*s - 1/4 + 1/4*s**f + 1/4*s**2 = 0.
-1, 1
Let g(l) be the second derivative of l**9/22680 - l**8/10080 - l**7/3780 + l**6/1080 + l**4/12 - l. Let z(n) be the third derivative of g(n). Factor z(o).
2*o*(o - 1)**2*(o + 1)/3
Let j(g) be the third derivative of 1/270*g**5 - 1/108*g**4 - 1/27*g**3 + 0*g + 1/540*g**6 + 3*g**2 + 0. Suppose j(h) = 0. What is h?
-1, 1
Let x(f) = -f**4 - f**2. Let v(b) = b**4 + 6*b**3 - 7*b**2. Let l(w) = -3*v(w) - 6*x(w). Let l(n) = 0. Calculate n.
0, 3
Let 2/15*d**2 + 0*d + 2/15*d**3 + 0 = 0. What is d?
-1, 0
Find v such that -9*v + 0 + 5*v**2 + 2*v + 5 - 3*v = 0.
1
Let m(q) = -4*q**3 + 2*q**2 - 4*q - 6. Let u(s) = -3*s**3 + 2*s**2 - 4*s - 5. Let a(h) = -5*m(h) + 6*u(h). Suppose a(b) = 0. Calculate b.
-2, 0, 1
Factor -3*n**3 - 1 - 6*n**2 - n**3 - 3*n + 84*n**4 - 85*n**4 - n.
-(n + 1)**4
Let i(u) be the first derivative of -2*u**3/3 + 8*u**2 - 14*u - 60. Factor i(y).
-2*(y - 7)*(y - 1)
Suppose 14 = 5*i - 24*b + 25*b, 3*b - 12 = 0. Find h such that -8/5 - 2/5*h**4 - 26/5*h**i - 24/5*h - 12/5*h**3 = 0.
-2, -1
Let i = 3/22 - -27/44. Suppose -2*g = 2*m + 4, 2*m + 3*g - 16 = 5*g. Determine q so that 0 - q**2 - 1/4*q - i*q**m = 0.
-1, -1/3, 0
Let d(k) be the third derivative of k**8/336 - k**7/70 + k**6/40 - k**5/60 - 8*k**2. Let d(i) = 0. What is i?
0, 1
Suppose 9*s = 4*s + 10. Let m be s + -3*16/54. Factor 4/9 + 14/9*g + m*g**2.
2*(g + 1)*(5*g + 2)/9
What is k in -9*k - 35*k**3 + 0*k**4 + 4*k - 25*k**2 - 15*k**4 = 0?
-1, -1/3, 0
Factor -3/5*v + 0 + 3/5*v**2 + 3/5*v**3 - 3/5*v**4.
-3*v*(v - 1)**2*(v + 1)/5
Let v(t) = t**4 + t**3 - t**2 + t + 1. Let z(c) = -10*c**4 - 10*c**3 + 5*c**2 - 15*c - 3. Let o(q) = -22*v(q) - 2*z(q). Determine a so that o(a) = 0.
-2, 1, 2
Suppose -10*p + 12*p = 4. Let -2*n**2 + 6 - 4*n**2 + p - 2*n**4 + 8*n - 8*n**3 = 0. Calculate n.
-2, -1, 1
Suppose 3*b = 11 + 1. Suppose -v = b - 7. Determine w, given that 2*w**v - 7 + 2*w**2 - 2*w**4 - 2*w + 6 + 1 = 0.
-1, 0, 1
Factor u**2 - u**2 - 7*u**2 + 6*u**2.
-u**2
Suppose 0 = -5*g - 0*g + 15. Factor 12 - 3*q + 2*q**g - 3*q - 8.
2*(q - 1)**2*(q + 2)
Let v(p) = -69*p**2 + 132*p + 63. Suppose 6*k - 24 = -0*k. Let i(o) = 10*o**2 - 19*o - 9. Let n(q) = k*v(q) + 27*i(q). Factor n(g).
-3*(g - 3)*(2*g + 1)
Let n be 40/22 - (-2 - 100/(-55)). What is b in 2/3*b**4 - n*b**3 + 0*b**2 + 0 + 8/3*b = 0?
-1, 0, 2
Let u = -7 + 12. What is a in a**u + 2*a - 3*a**3 + 1 + 0*a**4 - 1 + a**4 - a**2 = 0?
-2, -1, 0, 1
Factor 18*x**3 - 16*x + x**2 - 14*x**3 - 16 + 3*x**2.
4*(x - 2)*(x + 1)*(x + 2)
Let n be 0 + -5 + 74/14. Factor 0 + n*j**5 + 2/7*j**2 + 0*j + 6/7*j**4 + 6/7*j**3.
2*j**2*(j + 1)**3/7
Let t be 9/(-4)*32/12. Let h(u) = 6*u**5 - 10*u**4 - 4*u**3 + 8*u**5 + 0*u**3 + 6*u. Let o(m) = m. Let p(v) = t*o(v) + h(v). Factor p(l).
2*l**3*(l - 1)*(7*l + 2)
Let o be -1 - (22/(-8) + 8/(-32)). Factor 40/7*k - 18/7*k**o - 8/7.
-2*(k - 2)*(9*k - 2)/7
Factor 2/15 - 4/5*y - 14/15*y**2.
-2*(y + 1)*(7*y - 1)/15
Let n(o) be the second derivative of -o**6/180 + o**4/12 - o**3/6 - o. Let b(k) be the second derivative of n(k). Find m, given that b(m) = 0.
-1, 1
Let l(w) be the second derivative of w**3/3 - 11*w**2/2 - 2*w. Let g be l(8). Solve g - a**3 - 3 - a + 4*a = 0 for a.
-1, 2
Suppose 3*y - y = 0. Let k(g) be the third derivative of y*g**3 + 0*g + 0 + 1/96*g**4 - 1/240*g**5 + g**2. Factor k(z).
-z*(z - 1)/4
Let c(m) = -5*m**2 - m - 6 - 4*m**3 + 3*m**3 + 1 + 4. Let u be c(-5). Find q such that -3*q**3 - 3*q**3 - u*q**2 - 2*q + 6*q**3 - 2*q**3 = 0.
-1, 0
Let r be (2/3)/(1/15). Factor -10*d**2 - 4*d**2 + r*d**2 + 4*d.
-4*d*(d - 1)
Let y(c) = -35*c**5 - 85*c**4 + 70*c**2 + 50*c + 15. Let l(n) = 5*n**5 + 12*n**4 - 10*n**2 - 7*n - 2. Let s(t) = 15*l(t) + 2*y(t). Factor s(i).
5*i*(i - 1)*(i + 1)**3
Let u(f) be the third derivative of -f**6/24 - f**5 - 15*f**4/2 - 12*f**2. Factor u(y).
-5*y*(y + 6)**2
Let u = 851 - 85099/100. Let i(d) be the third derivative of -1/20*d**4 + 2*d**2 + 1/15*d**3 + u*d**6 + 0*d + 0 - 1/150*d**5. Let i(p) = 0. What is p?
-1, 1/3, 1
Let t(u) be the third derivative of 1/4*u**5 + 2*u**3 - 5/8*u**6 + 0*u - 7*u**2 + 0 + 2*u**4. Factor t(i).
-3*(i - 1)*(5*i + 2)**2
Let y(g) be the third derivative of 1/840*g**7 + 1/12*g**3 + 0 + 6*g**2 - 1/80*g**5 - 1/480*g**6 + 1/96*g**4 + 0*g. Let y(c) = 0. Calculate c.
-1, 1, 2
Let u = -33 - -33. Let z(s) be the second derivative of 0*s**4 