a**6/360 + 12*a**2. Factor m(n).
-n**3*(n - 1)*(n + 1)/3
Let a be 8/(-20)*(-20 + 0). Let u = a - 6. Let m**u + 6 - 6 - m**4 = 0. What is m?
-1, 0, 1
Find s, given that 0 - 2/5*s - 4*s**3 + 11/5*s**2 + 12/5*s**4 = 0.
0, 1/2, 2/3
Factor 0 + 3/4*k**3 - 3/4*k - 1/4*k**2 + 1/4*k**4.
k*(k - 1)*(k + 1)*(k + 3)/4
Determine q, given that 1/3*q**3 - 1/3 - q**2 + q = 0.
1
Factor 30*g**4 - 5*g**5 - 15*g**4 + 5*g**2 + 0*g**2 - 12*g**3 - 3*g**3.
-5*g**2*(g - 1)**3
Let y(j) be the first derivative of -3*j**3/4 - 3*j**2/2 - j + 5. Factor y(x).
-(3*x + 2)**2/4
Let z(x) be the third derivative of -x**9/113400 - x**8/37800 - x**7/37800 - x**5/10 + 2*x**2. Let o(g) be the third derivative of z(g). Factor o(r).
-2*r*(2*r + 1)**2/15
Suppose 0 = -3*d + 7 + 5. Factor d*k - k**2 - 4*k**2 + 3*k**2.
-2*k*(k - 2)
Let z = 759 - 757. Factor 2/9*c**3 - 8/9*c**z - 4/9 + 10/9*c.
2*(c - 2)*(c - 1)**2/9
Let b(d) = -d**3 + d**2 + 22*d - 8. Let m be b(5). Let f(l) be the first derivative of 2/5*l - 7/15*l**3 - 4 - 1/2*l**m. Let f(r) = 0. Calculate r.
-1, 2/7
Let x = 63 + -62. Let p(q) be the first derivative of 2/9*q**3 + x - 2/3*q + 2/3*q**2 - 1/3*q**4. Find i such that p(i) = 0.
-1, 1/2, 1
Let f(i) be the second derivative of 2*i + 0 + 1/3*i**3 - 3/2*i**2 + 1/12*i**4. What is r in f(r) = 0?
-3, 1
Let s(i) be the first derivative of -2*i**3/3 - 3*i**2 - 4*i + 6. Determine a, given that s(a) = 0.
-2, -1
Let u be (-16)/(-2) - 3 - 2. Solve 2*d**3 + d**2 - 3*d**u - 1 + d + 0*d = 0.
-1, 1
Suppose 0 = 2*t - 8. Suppose g = -v - 1, -t*v + 5 = -2*g - 7*v. Factor -6/7*h**3 + 24/7*h**4 - g*h**5 + 0*h - 4/7*h**2 + 0.
-2*h**2*(h - 1)**2*(7*h + 2)/7
Let q = -16 - -10. Let n be 1*(-3 - 21/q). Factor b - n*b**2 + 0.
-b*(b - 2)/2
Let d be (((-3)/(-40))/1)/((-27)/(-4)). Let c(w) be the third derivative of 0*w**4 + w**2 + d*w**5 + 1/270*w**6 + 0*w + 0 - 1/27*w**3. Factor c(y).
2*(y + 1)**2*(2*y - 1)/9
Let d(u) be the first derivative of u**4/48 + u**3/4 + 9*u**2/8 + 2*u - 2. Let k(q) be the first derivative of d(q). Suppose k(w) = 0. What is w?
-3
Suppose 3*t + 2 = -7. Let l = t + 4. Let n(a) = -21*a**4 - 3*a**3 - 15*a**2 + 3*a - 18. Let d(x) = x**4 + x**2 + 1. Let f(y) = l*n(y) + 18*d(y). Factor f(w).
-3*w*(w - 1)*(w + 1)**2
Let k(v) be the second derivative of -v**4/6 - 10*v**3/3 - 25*v**2 + 11*v. Factor k(r).
-2*(r + 5)**2
Let b(r) be the first derivative of 6 - 3*r + 3/4*r**2 + 1/2*r**3. Determine x, given that b(x) = 0.
-2, 1
Let n(t) be the third derivative of t**9/98280 + t**8/14560 + t**7/5460 + t**6/4680 + t**4/24 - t**2. Let f(l) be the second derivative of n(l). Factor f(y).
2*y*(y + 1)**3/13
Let d be (-13)/3 + (-8)/12. Let w = -4 - d. Factor w + 0*k**2 - k**2 + 0*k**3 - k**3 + k.
-(k - 1)*(k + 1)**2
Suppose -3*c + 6 = -0*c. Let q(k) be the second derivative of 0*k**c + 3/10*k**5 + 1/3*k**7 - 1/3*k**4 + 0 + 0*k**3 + 4/5*k**6 + 2*k. Solve q(d) = 0 for d.
-1, 0, 2/7
Find c such that 8/7*c - 6/7*c**3 - 2/7*c**4 + 0*c**2 + 0 = 0.
-2, 0, 1
Let u(q) be the first derivative of -3/5*q**2 - 4/5*q + 5 + 2/15*q**3 + 3/10*q**4 + 2/25*q**5. Solve u(f) = 0 for f.
-2, -1, 1
Let s be (-4)/(-4) + 3/(-24)*6. Suppose -2*r + 5*r = 0. Solve 1/4*i**4 - 1/4*i**5 + 1/4*i**3 + r - s*i**2 + 0*i = 0 for i.
-1, 0, 1
Suppose 3*v - 2*i = 16, -3*v - i = -4 - 6. Factor 2*z**3 + z**4 + 0*z**3 + z**v.
2*z**3*(z + 1)
Let a(f) be the second derivative of -f**6/630 + f**5/280 + f**4/168 - 4*f**3/3 - 2*f. Let c(s) be the second derivative of a(s). Factor c(x).
-(x - 1)*(4*x + 1)/7
Let i(z) be the second derivative of z**7/280 - z**6/40 + z**4/2 + 2*z**3/3 - 4*z. Let g(o) be the second derivative of i(o). Factor g(v).
3*(v - 2)**2*(v + 1)
Let z(w) = -13*w**3 - 47*w**2 - 17*w + 11. Let o(p) = 40*p**3 + 140*p**2 + 52*p - 32. Let h(m) = 3*o(m) + 8*z(m). Factor h(l).
4*(l + 1)*(l + 2)*(4*l - 1)
Suppose 4*m - 5*k + 3 = 0, -33*k + 6 = -3*m - 28*k. Suppose -10/7*l**5 + 4/7 - 24/7*l**4 - 8/7*l**m + 20/7*l**2 + 18/7*l = 0. Calculate l.
-1, -2/5, 1
Let w(r) be the third derivative of -r**7/105 + 3*r**6/140 + r**5/42 - 3*r**4/28 + 2*r**3/21 - 11*r**2. Let w(c) = 0. Calculate c.
-1, 2/7, 1
Factor 0 - 1/5*i**3 + 0*i**2 - 6/5*i**4 + 0*i.
-i**3*(6*i + 1)/5
Let k(x) be the second derivative of x**6/180 - x**5/15 + x**4/3 - 8*x**3/9 - x**2 + 3*x. Let w(d) be the first derivative of k(d). Factor w(g).
2*(g - 2)**3/3
Let r(g) be the third derivative of -g**9/12096 + g**8/1680 - g**7/840 + g**3/2 - 3*g**2. Let h(q) be the first derivative of r(q). Factor h(d).
-d**3*(d - 2)**2/4
Let x(w) = -w**5 + w**4. Let i(z) = 2*z. Let c be i(-1). Let m(q) = 2*q**5 - 4*q**4 + 2*q**3 + 2*q**2 - 3*q + 1. Let o(j) = c*x(j) - 2*m(j). Factor o(t).
-2*(t - 1)**4*(t + 1)
Let n be (2/(-12))/(32/(-12) + 2). Determine x so that n*x**3 + x**2 + 0 + x = 0.
-2, 0
Factor 0*q**2 - 4/3*q**3 + 0*q + 0.
-4*q**3/3
Let p = 2/649 - -641/2596. Suppose -p*u**2 + 0*u + 1 = 0. What is u?
-2, 2
Suppose 1180*y - 32 = 1172*y. Factor 4/9*r**y + 0 + 0*r**2 + 2/9*r - 2/3*r**3.
2*r*(r - 1)**2*(2*r + 1)/9
Let c(v) be the third derivative of -v**9/6048 - v**8/1120 - v**7/560 - v**6/720 + 2*v**3/3 + 2*v**2. Let t(n) be the first derivative of c(n). Factor t(m).
-m**2*(m + 1)**3/2
Factor -486*w - 6*w**3 - 81*w**2 - 1/6*w**4 - 2187/2.
-(w + 9)**4/6
What is l in -43*l**3 - 88*l - 23 - 28*l**2 + 39*l**3 + 28*l - 13 = 0?
-3, -1
Let c(i) be the first derivative of i**6/36 - i**5/15 - i**4/6 + i**3/9 + i**2/4 + 16. Factor c(b).
b*(b - 3)*(b - 1)*(b + 1)**2/6
Let c(h) = -6*h**2 - 16*h + 40. Let w(f) = f**2 + 2*f. Let p(k) = -c(k) - 2*w(k). Factor p(i).
4*(i - 2)*(i + 5)
Let t = 26 + -26. Let m(c) be the third derivative of 1/36*c**6 + 0 - 1/45*c**7 + t*c**3 + 0*c**4 + 2*c**2 + 1/45*c**5 + 0*c. Factor m(s).
-2*s**2*(s - 1)*(7*s + 2)/3
Suppose 7/5*n**2 - 1/5*n + n**4 + 0 - 11/5*n**3 = 0. What is n?
0, 1/5, 1
Let x(d) be the third derivative of -d**9/37800 + d**8/8400 - d**7/6300 - d**4/8 + 3*d**2. Let l(z) be the second derivative of x(z). Factor l(y).
-2*y**2*(y - 1)**2/5
Let k(y) = -y + 9. Let p be k(7). Suppose 0*x + 2*x**2 - 2 - x - 3*x - p*x + 6*x**3 = 0. What is x?
-1, -1/3, 1
Let w = 953 + -950. Determine p, given that 2/5*p - p**w + 3/5*p**2 + 0 = 0.
-2/5, 0, 1
Let t = -141 - -143. Let 1/6 + 0*f - 1/6*f**t = 0. Calculate f.
-1, 1
Let s(d) = -5*d**4 - 3*d**3 - 15*d**2 - 11*d + 13. Let l(b) = -3*b**4 - 2*b**3 - 8*b**2 - 6*b + 7. Let m(z) = -7*l(z) + 4*s(z). Suppose m(a) = 0. What is a?
-3, -1, 1
Let a(w) = -2*w**3 + w**2 - 3*w. Let q(n) = n. Let b be 2 + (5 - (-1 - -4)). Let h(p) = b*q(p) + a(p). Solve h(u) = 0 for u.
-1/2, 0, 1
Let g(v) be the second derivative of v**9/378 + 3*v**8/280 + v**7/70 + v**6/180 - v**3/3 - v. Let k(t) be the second derivative of g(t). Factor k(j).
2*j**2*(j + 1)**2*(4*j + 1)
Suppose 20*u + 12*u**3 - 18*u**2 - 6*u**2 - 6 - 13*u**4 + 22*u**4 - 11*u**4 = 0. Calculate u.
1, 3
Let z = -12 + 20. Suppose 1 = -z*q + 17. Let -1/6*v**q + 1/6*v + 1/3 = 0. Calculate v.
-1, 2
Let l(r) be the third derivative of r**7/1120 - r**6/96 + 7*r**5/160 - 3*r**4/32 + r**3/6 + 5*r**2. Let i(m) be the first derivative of l(m). Factor i(q).
3*(q - 3)*(q - 1)**2/4
Suppose s = 2*s. Let o = 0 + 4. Factor -o*l + 12*l - 8 - 2*l**2 + s*l**2.
-2*(l - 2)**2
Let l(w) = 2*w**4 + 2*w**2 + 2*w. Let i(p) = -p**2 - 5*p - 4*p**4 - 4*p**2 + p - p. Suppose 5*m = m - 8. Let r(b) = m*i(b) - 5*l(b). Factor r(q).
-2*q**4
Let a be 3 - -56*(-12)/225. Let o(u) be the third derivative of a*u**6 - 1/15*u**3 - 1/25*u**5 + 0 + 2*u**2 - 1/525*u**7 + 1/15*u**4 + 0*u. Factor o(z).
-2*(z - 1)**4/5
Determine p, given that 5/3*p**2 + 5/3 + 10/3*p = 0.
-1
Let s(k) be the third derivative of k**6/20 + 13*k**5/40 + 11*k**4/16 + k**3/2 + 4*k**2. Factor s(g).
3*(g + 1)*(g + 2)*(4*g + 1)/2
Let a(r) be the second derivative of -2*r**2 - 2/15*r**6 - 7/5*r**5 + 0 + 1/3*r**7 + 7/3*r**3 + 2/3*r**4 - 3*r. Let a(j) = 0. Calculate j.
-1, 2/7, 1
Determine c so that -19*c - 213*c**2 + 6 + 221*c**2 + 4*c**3 + c**3 = 0.
-3, 2/5, 1
Let b = -418 + 418. Determine j, given that -1/2*j + b + 1/2*j**2 = 0.
0, 1
Determine r so that r**2 + 0 + 1/4*r**4 + 0*r - r**3 = 0.
0, 2
Let d = 78123/11396 - -3/1628. Let 3/7 - 24/7*q + d*q**2 = 0. Calculate q.
1/4
Suppose -57 = 5*f - 17. Let d be 232/224 - (-6)/f. Factor 0*t + 4/7*t**2 - d - 2/7*t**4 + 0*t**