*(i - 1)*(i + 2)**2
Let u be (-1 + -1 - -2)/(-35 - -34). Factor -2/13 + u*l**3 + 4/13*l**2 + 0*l - 2/13*l**4.
-2*(l - 1)**2*(l + 1)**2/13
Let s(h) be the second derivative of h**8/4200 - h**7/525 + h**6/225 - 2*h**3/3 - 7*h. Let r(o) be the second derivative of s(o). Factor r(a).
2*a**2*(a - 2)**2/5
Let j(r) be the third derivative of -1/84*r**7 - 1/24*r**4 + 0*r**3 + 0*r + 0 - r**2 + 1/30*r**6 - 1/120*r**5. Factor j(u).
-u*(u - 1)**2*(5*u + 2)/2
Let s(v) be the second derivative of -v**6/10 + 3*v**5/10 + v**4/4 - v**3 - v. Suppose s(h) = 0. Calculate h.
-1, 0, 1, 2
Let s = 18 - 16. Let l(i) be the third derivative of 1/60*i**6 + 0*i**3 + 2*i**s - 1/60*i**5 + 0*i + 0 + 1/70*i**7 + 0*i**4. Let l(p) = 0. What is p?
-1, 0, 1/3
Let x = 14 + -6. Let k = x - 8. Determine z so that 2/3 - 2/3*z**2 + k*z = 0.
-1, 1
Let w(q) be the first derivative of 3*q**5/20 - 3*q**3/4 - 3*q**2/4 - 23. Determine f, given that w(f) = 0.
-1, 0, 2
Suppose 18 = -2*h + 5*h. Let m = -3 + h. Factor 2*n + n**3 + m*n**2 - 4*n - 2*n**2.
n*(n - 1)*(n + 2)
Let p = 112/141 + -6/47. What is a in p*a**2 + 0 + 2/3*a**3 - 2/3*a**4 - 2/3*a = 0?
-1, 0, 1
Let g = 39502/189 + -209. Let v(o) be the second derivative of -1/54*o**4 + 1/135*o**6 + 0*o**2 + 0 - 1/90*o**5 + 0*o**3 + g*o**7 + 2*o. Factor v(k).
2*k**2*(k - 1)*(k + 1)**2/9
Suppose -4 = 2*x - n, -5*x - 2*n + 10 = 29. Let i(s) = -4*s**2 + s. Let g(v) = -5*v**2 + v. Let r(u) = x*g(u) + 4*i(u). What is k in r(k) = 0?
0, 1
Let r(u) be the third derivative of 0*u**4 - 3*u**2 + 1/420*u**7 - 1/120*u**6 + 0*u**3 + 0 + 0*u + 1/120*u**5. Factor r(k).
k**2*(k - 1)**2/2
Suppose q = 2*q - 3. Suppose -1 = -a + q. Factor -s**5 + 0*s**4 - 3*s**4 + 2*s**a.
-s**4*(s + 1)
Solve 0 + 0*t + 3*t**2 + 21/2*t**4 - 27/2*t**3 = 0.
0, 2/7, 1
Let f be -18*1*(-83)/3. Let d = 5482/11 - f. Factor 10/11*c**3 - 8/11*c**2 + 0 - d*c**4 + 2/11*c.
-2*c*(c - 1)**2*(2*c - 1)/11
Let x(b) = -b**2 + 5*b + 6. Let l be x(6). Let j(a) be the first derivative of 0*a**2 + 2/21*a**3 - 2 + 0*a - 2/35*a**5 + l*a**4. Suppose j(p) = 0. Calculate p.
-1, 0, 1
Let -10 + 20*d**2 + 3*d**2 - 13*d**2 + 20*d**2 + 5*d = 0. What is d?
-2/3, 1/2
Let k(j) = -9*j**4 + 12*j**3 - 12*j**2 - 11*j + 11. Let i(w) = w**4 - w**3 + w**2 + w - 1. Let u(z) = 22*i(z) + 2*k(z). Suppose u(n) = 0. What is n?
-1, 0, 1/2
Let o(d) be the first derivative of -d**6/15 - d**5/10 + d**4/6 + d**3/3 + 2*d - 2. Let b(q) be the first derivative of o(q). What is l in b(l) = 0?
-1, 0, 1
Let m(j) be the first derivative of j**6/3 - 2*j**5/5 - 4*j**4 + 16*j**3/3 + 16*j**2 - 32*j + 2. Solve m(g) = 0 for g.
-2, 1, 2
Suppose 0 = 2*a + 7 - 3. Let v = 4 + a. Factor 9*b**5 - 14*b**3 - 4*b**2 + 8*b - 4*b**2 - 4*b**v + 15*b**4.
b*(b + 1)*(b + 2)*(3*b - 2)**2
Suppose 2*b + 2 = 8. Suppose -12 = -5*i + b. Factor 1/3*u**i + 0 + 1/3*u**2 + 0*u.
u**2*(u + 1)/3
Let y(j) be the first derivative of -j**5/20 + j**3/6 - j/4 - 3. Suppose y(f) = 0. Calculate f.
-1, 1
Let c(r) be the first derivative of r**4/20 + r**3/15 - r**2/5 - 1. Factor c(f).
f*(f - 1)*(f + 2)/5
Let g(p) = -p**3 - 17*p**2 - 21*p + 5. Let b(t) = -8*t**2 - 10*t + 2. Let s(o) = 5*b(o) - 2*g(o). Factor s(u).
2*u*(u - 4)*(u + 1)
Let l be (-5 + -4 - -9)/(-4). Factor -2/9*g**5 + l*g**2 + 0 - 2/9*g**3 + 4/9*g**4 + 0*g.
-2*g**3*(g - 1)**2/9
Factor -10*s + 3*s**3 - 5*s**3 + 17 - 13 + 8*s**2.
-2*(s - 2)*(s - 1)**2
Let k(b) be the first derivative of -b**6/18 - b**5/15 + b**4/6 + 2*b**3/9 - b**2/6 - b/3 + 5. Solve k(z) = 0 for z.
-1, 1
Let g be (4/28)/((-6)/(-54)). Factor -3/7*o**3 + 0*o**2 + 12/7*o**5 + 0 + 0*o - g*o**4.
3*o**3*(o - 1)*(4*o + 1)/7
Solve -112*v + 5*v**3 + 3*v**2 + 109*v - 3 - 2*v**3 = 0.
-1, 1
Let h(k) = 3*k**2 + k + 2. Let n(m) = 7*m**2 + 2*m + 5. Let p(o) = 5*h(o) - 2*n(o). Let p(y) = 0. Calculate y.
-1, 0
Let h = 5/36 - -1/12. Find k, given that -10/9*k**3 + 2*k**2 + h*k**4 - 14/9*k + 4/9 = 0.
1, 2
Let o(s) be the second derivative of -s**7/168 - s**6/40 + s**4/12 + 5*s. Suppose o(r) = 0. Calculate r.
-2, 0, 1
Suppose 3 - 28 = -5*a. Suppose -a*r + 9 = -1. Determine c so that 4/11*c + 0 - 2/11*c**r = 0.
0, 2
Let r = 17/2 + -8. Find w, given that -r*w**2 - 2*w - 3/2 = 0.
-3, -1
Let h(z) be the second derivative of -z**7/21 - 7*z**6/75 + 3*z**5/50 + 7*z**4/30 + 2*z**3/15 + 28*z. Let h(c) = 0. What is c?
-1, -2/5, 0, 1
Let v(n) be the second derivative of -n**7/21 - 4*n**6/15 + 7*n**4/3 + 17*n**3/3 + 6*n**2 + 6*n. Factor v(l).
-2*(l - 2)*(l + 1)**3*(l + 3)
Let h(i) be the second derivative of -i**7/21 + 11*i**5/40 - 3*i**4/8 + i**3/6 - 4*i. Solve h(p) = 0 for p.
-2, 0, 1/2, 1
Let u = 367 + -1156/3. Let f = u + 19. Solve -2*s**2 - f - 2/3*s**3 - 2*s = 0.
-1
Let a be (3/4)/((-4)/32). Let h be a/(-1)*2/9. Determine t so that -4/3 + h*t - 1/3*t**2 = 0.
2
Let o(b) be the second derivative of -b**7/168 - b**6/60 - b. Determine z, given that o(z) = 0.
-2, 0
Let l = 109/3 + -36. Factor 0 + 1/3*y - l*y**2.
-y*(y - 1)/3
Let d be ((-3)/(-7))/((-12)/1520). Let h = -54 - d. Find w such that -h*w**3 + 0 + 0*w - 2/7*w**2 = 0.
-1, 0
Let h(y) = y**4 + y**3 + y. Let q(p) = 6*p**3 + 9*p**2. Suppose 3*c + 0 = 2*t - 7, c = -3*t + 16. Let k(a) = c*q(a) + 3*h(a). Factor k(l).
3*l*(l + 1)**3
Let n = -9 - -12. Suppose -n*s + 8 - 2 = 0. Let 0*c + 2/5*c**5 - 2/5*c**3 + 2/5*c**4 + 0 - 2/5*c**s = 0. Calculate c.
-1, 0, 1
Let k(s) be the second derivative of -s**4/30 + 2*s**3/15 + 3*s**2/5 - 6*s. Find u such that k(u) = 0.
-1, 3
Let m(p) = p**2 + p. Let x(a) = 7*a**2 + 27*a + 30. Let s(v) = -2*m(v) + x(v). Determine o so that s(o) = 0.
-3, -2
Let p(f) be the second derivative of f**4/3 - 16*f**3/3 + 32*f**2 - 7*f. Let p(z) = 0. What is z?
4
Let v be 3/(-7)*2*(-16)/48. Solve -4/7*s**2 - 2/7*s + 4/7 + v*s**3 = 0 for s.
-1, 1, 2
Let b(n) be the first derivative of 4*n**5/5 + n**4 - 4*n**3/3 - 2*n**2 + 2. Let b(h) = 0. What is h?
-1, 0, 1
Let y(v) be the first derivative of v**3/3 - 8*v**2 + 64*v + 13. Let y(r) = 0. What is r?
8
Let a be ((15 - 6)/(-36))/(11/(-24)). Factor -6/11*k**2 + a*k - 2/11 + 2/11*k**3.
2*(k - 1)**3/11
Let p(g) = -2*g**3 - 8*g + 8. Let x(h) = -3*h**3 + 9*h - 9. Let b(f) = 5*f**3 - 17*f + 17. Let u(n) = 4*b(n) + 7*x(n). Let l(r) = 5*p(r) - 8*u(r). Factor l(j).
-2*j**3
Let j = 0 + 2. Let t be 0/(0 + j + -5). Suppose z + 5*z + t*z**2 + 2*z**2 - 4*z = 0. What is z?
-1, 0
Let s(f) = 3*f + 6. Let d be s(-2). Factor 1/3*u**4 + 0 - 1/3*u**2 + d*u + 0*u**3.
u**2*(u - 1)*(u + 1)/3
Let s(l) be the first derivative of -l**4/4 + l**3 - l**2 - 8. Factor s(m).
-m*(m - 2)*(m - 1)
Factor -1/2*l - 1 + 1/2*l**2.
(l - 2)*(l + 1)/2
Determine k so that 2 + 72*k**2 - 4*k + 16*k + 12*k + 0*k = 0.
-1/6
Suppose -2*c**3 - 3*c**3 + c**3 + 0*c**3 + 16*c + 12*c**2 = 0. What is c?
-1, 0, 4
Find j such that 0 - 13/7*j**3 - 5/7*j**4 - 4/7*j**2 + 4/7*j = 0.
-2, -1, 0, 2/5
Let s(d) = -3*d**2 + 13*d - 3. Let w(a) = a**2 - 4*a + 1. Let y(n) = -2*s(n) - 7*w(n). Factor y(x).
-(x - 1)**2
Suppose 3*y = -y - 8, 5*w - 4 = -3*y. Factor -2/5*d**3 + 0 + 2/5*d**w + 0*d.
-2*d**2*(d - 1)/5
Factor 2/7*r**2 + 4/7*r - 2/7*r**3 + 0.
-2*r*(r - 2)*(r + 1)/7
Let g = -598 + 598. Factor 1/5*t**3 + 0 + 0*t**2 + g*t - 1/5*t**4.
-t**3*(t - 1)/5
Let r(m) be the third derivative of m**10/226800 - m**9/45360 + m**7/3780 - m**6/1080 + m**5/60 + 3*m**2. Let q(u) be the third derivative of r(u). Factor q(i).
2*(i - 1)**3*(i + 1)/3
Suppose -5*a - 4*u + 40 = 0, 4*a - 3*u - 41 = -8*u. Let b be -4*(14/a)/(-7). Suppose 2/3*y**b + 0*y + y**3 + 0 + 1/3*y**4 = 0. Calculate y.
-2, -1, 0
Suppose -5*l - 13 = -13. Let g(u) be the first derivative of 0*u**3 - 3 + u**4 + l*u**2 + 0*u - 6/5*u**5. Factor g(p).
-2*p**3*(3*p - 2)
Let k = 52 + -50. Let s(t) be the first derivative of 4/27*t**3 + 0*t + 1/18*t**4 - 1 + 1/9*t**k. Factor s(i).
2*i*(i + 1)**2/9
Let m(c) = c**3 + 9*c**2 + 7*c - 6. Let y be (6/4)/((-3)/16). Let g be m(y). Factor -x**4 + 3*x**g - 5*x**2 + 3*x**4 + 2*x**3 - 2*x.
2*x*(x - 1)*(x + 1)**2
Let n = 62 - 58. Factor 0 - 2/7*t**n + 8/7*t**3 - 8/7*t**2 + 0*t.
-2*t**2*(t - 2)**2/7
Let t be ((-4)/(-9))/(62/279). Let 5/4*k**t - 1/2*k - 1/4*k**4 + 0 + 1/4*k**5 - 3/4*k**3 = 0. What is k?
-2, 0, 1
Let l be -3 - (70/(-25) + 1/(-5)). Let y(s) be the second derivative of 1/6*s**3 + 4*s + 1/12*s**4 + 0 + l*s**2. Factor y(z).
z*(z + 1)
Let s(f) be the secon