(y) = -y**4 + y**3 + y. Let t(g) = -a(g) - k(g). Let t(f) = 0. What is f?
-1, 0, 1
Let k(x) = -4*x - 14. Let d(b) = b + 1. Let r(j) = -6*d(j) - 2*k(j). Let z be r(-9). Let -2/5*n**5 + 4/5*n**2 + 2/5*n**3 - 4/5*n**z + 0 + 0*n = 0. What is n?
-2, -1, 0, 1
Let r(g) be the second derivative of -2*g**6/15 + g**5/5 + g**4/3 - 2*g**3/3 - 6*g. Factor r(c).
-4*c*(c - 1)**2*(c + 1)
Let q(g) be the second derivative of g**4/24 + g**3/6 - 3*g**2/4 + 3*g. Solve q(y) = 0.
-3, 1
Let v be (6/(-1))/(-2)*1. What is a in 3*a**4 - v*a**5 - 3*a**4 - 36*a**3 + 24*a**2 + 5*a**4 + 13*a**4 = 0?
0, 2
Let a(v) be the third derivative of v**7/2100 - v**6/900 - v**5/300 + v**4/60 + v**3 + 2*v**2. Let k(m) be the first derivative of a(m). Factor k(c).
2*(c - 1)**2*(c + 1)/5
Factor 4/5*f**2 + 49/5*f**4 + 0*f + 28/5*f**3 + 0.
f**2*(7*f + 2)**2/5
Let x = 16 + -5. Factor 2 - 5*d**3 + d**2 - x*d + 11*d**2 + 2*d.
-(d - 1)**2*(5*d - 2)
Suppose y = -2 - 0. Let k be -1 + 2 + y + 1. Factor -2/9*m**2 + k*m - 4/9*m**3 + 0.
-2*m**2*(2*m + 1)/9
Factor 0 - 22/7*n**4 - 8/7*n**5 - 2/7*n**2 + 2/7*n - 18/7*n**3.
-2*n*(n + 1)**3*(4*n - 1)/7
Let v be (0/(-5) + -1)/(-3). Let p(c) be the second derivative of -3*c + 1/6*c**4 - 1/15*c**6 + 1/10*c**5 - v*c**3 + 0*c**2 + 0. Factor p(x).
-2*x*(x - 1)**2*(x + 1)
Let v(q) = 6*q - 22. Let w be v(4). Let o(n) be the second derivative of 1/105*n**6 + 0*n**3 + 0*n**5 + 0 - 1/21*n**4 + 1/7*n**w + 2*n. Factor o(l).
2*(l - 1)**2*(l + 1)**2/7
Suppose 9*b**3 - 8*b**3 + 5*b**3 + 2*b**4 = 0. What is b?
-3, 0
Let j = -8 + 9. Suppose -1 - v**2 - 6*v - j - 4 - 3 = 0. Calculate v.
-3
Let d = -229/77 - -39/11. Let 4/7*g**4 + 8/7*g**3 - 8/7*g**2 - 4/7*g - 4/7*g**5 + d = 0. Calculate g.
-1, 1
Let k = 9 - 7. Factor -1 - 2*x - 1 + 6*x**2 + 8*x**3 + k.
2*x*(x + 1)*(4*x - 1)
Let f(n) = -3*n**3 - 3*n**2 - 5*n - 5. Let i(d) = -2*d**3 - 2*d**2 - 2*d - 2. Let h(a) = -2*f(a) + 5*i(a). Determine o so that h(o) = 0.
-1, 0
Factor -3 - 2*s + 1/4*s**2 + 1/4*s**3.
(s - 3)*(s + 2)**2/4
Let l(s) = 2*s - 4. Let w be l(4). Let c = 10 - 5. What is o in o + w*o**3 + 0*o - c*o**3 = 0?
-1, 0, 1
Let k(w) = -4*w**2 - 6*w - 12. Let d be 87/27 + 4/(-18). Let c(m) = -5*m**2 - 6*m - 13. Let l(q) = d*c(q) - 4*k(q). Factor l(p).
(p + 3)**2
Factor -128*w**3 + 96*w**2 - 24*w - 9 - 6 + 17.
-2*(4*w - 1)**3
Let n be (1 - 2)*(-6 - -3). Let g(k) be the first derivative of -1/4*k**2 + 0*k - 2 + 1/6*k**n. Factor g(f).
f*(f - 1)/2
Let j(y) be the second derivative of 1/10*y**2 + 1/25*y**5 + 0 - 4*y + 2/15*y**3 + 1/150*y**6 + 1/10*y**4. Factor j(o).
(o + 1)**4/5
Suppose 5*m = 3*k + 2*k + 60, 4*k - m + 33 = 0. Let d = -5 - k. Factor 0*u + 2*u - 7*u**4 + u**d + 2*u**3 + 6*u**2 - 4*u.
-u*(u - 1)*(u + 1)*(7*u - 2)
Let s be (0 - -1) + 2 - -3. Let c**3 + s*c - 11*c**2 + 2*c**2 - 3*c**3 + 5*c**3 = 0. Calculate c.
0, 1, 2
Let h = 8 + -6. Suppose t - h = -0. Factor t*z**2 - z**2 + 4 - 3*z**2 - 2*z.
-2*(z - 1)*(z + 2)
Factor -1/9*i**3 + 1/9*i - 1/3*i**4 + 0 + 1/3*i**2.
-i*(i - 1)*(i + 1)*(3*i + 1)/9
Let m(w) be the first derivative of -3*w**5/5 + 3*w**4/4 + 2*w**3 - 16. Let m(f) = 0. What is f?
-1, 0, 2
Let t = 80/21 - 22/7. Factor 0*l - t*l**5 + 2/3*l**3 + 2/3*l**2 + 0 - 2/3*l**4.
-2*l**2*(l - 1)*(l + 1)**2/3
Let r be (-8)/60 - (64/(-30) - -2). Let b(a) be the first derivative of 0*a**3 - 1 + 1/24*a**6 + r*a**5 + 0*a + 1/8*a**2 - 1/8*a**4. Factor b(x).
x*(x - 1)**2*(x + 1)**2/4
Let w(c) be the first derivative of c**5/15 + c**4/4 + c**3/9 - c**2/2 - 2*c/3 - 5. Determine r so that w(r) = 0.
-2, -1, 1
Let q(l) = -l + 12. Let d be q(9). Factor d*h**2 - h**2 - 7*h**2 + 2*h**2.
-3*h**2
Let z be (-8)/14 + (-2 - -5 - 2). Factor -2/7 + z*x - 1/7*x**2.
-(x - 2)*(x - 1)/7
Let a(x) be the first derivative of 4*x**5/35 - 11*x**4/28 + 5*x**3/21 + x**2/7 + 11. Factor a(p).
p*(p - 2)*(p - 1)*(4*p + 1)/7
Let o(i) be the first derivative of i**5/25 - i**4/10 - i**3/5 + 48. Factor o(v).
v**2*(v - 3)*(v + 1)/5
Let i(x) be the second derivative of -1/18*x**4 - 1/30*x**5 + 1/3*x**2 + 1/9*x**3 + 0 + 3*x. Factor i(t).
-2*(t - 1)*(t + 1)**2/3
Let l = 14567 + -378507/26. Let k = l + -20/13. What is w in w - 1/2*w**2 + 0 + 10*w**5 + 4*w**4 - k*w**3 = 0?
-1, -2/5, 0, 1/2
Let o(j) be the first derivative of -2*j**3/9 - j**2/3 + 55. Factor o(f).
-2*f*(f + 1)/3
Let l(g) be the second derivative of g**5/40 - g**4/48 - g**3/6 - 2*g**2 - 2*g. Let y(o) be the first derivative of l(o). Solve y(p) = 0.
-2/3, 1
Let y(u) = 6*u**4 - 2*u**3 + 6*u**2 + 7*u - 7. Let d(k) = k**4 + k**2 + k - 1. Let s(o) = 28*d(o) - 4*y(o). Factor s(g).
4*g**2*(g + 1)**2
Factor -2/21*i**3 + 6/7*i - 2/7*i**2 - 10/21.
-2*(i - 1)**2*(i + 5)/21
Suppose -68 = -19*u - 11. Factor 0 + 6/5*k**2 - 6/5*k**u - 2/5*k + 2/5*k**4.
2*k*(k - 1)**3/5
Let p(v) = v**2. Let u be p(0). Let k(t) be the first derivative of 0*t**2 + 2/21*t**3 + u*t + 1/14*t**4 - 2/35*t**5 - 1/21*t**6 + 1. Factor k(c).
-2*c**2*(c - 1)*(c + 1)**2/7
Let x be ((-22)/(-8) + -3)*(-24)/42. Let x - 2/7*n + 1/7*n**2 = 0. What is n?
1
Let z(t) = -t**2 + 10*t - 7. Let n = 4 - -5. Let v be z(n). Factor 4/3*k + 2/3 + 2/3*k**v.
2*(k + 1)**2/3
Factor -2/5*u**2 + 2/5 + 0*u.
-2*(u - 1)*(u + 1)/5
Let b = 1 + -17. Let p be b/(-20) - (-4)/(-10). Solve p*c + 0*c**3 - 2/5*c**5 + 4/5*c**2 + 0 - 4/5*c**4 = 0 for c.
-1, 0, 1
Let n(t) = 0 + 4*t**2 + 0*t**2 - 3*t**2 + 1. Let s(c) = c**5 - 3*c**3 + 7*c**2 + 5. Let a(f) = -5*n(f) + s(f). Determine q so that a(q) = 0.
-2, 0, 1
Let s be (-2)/(15/9 - 1). Let p be 16/(-30)*-6 + s. Factor p*l**2 + 1/5 + 2/5*l.
(l + 1)**2/5
Factor -8*f**3 + 4*f**3 - 7*f**2 + 4*f**3 + 2*f**3 - 4*f.
f*(f - 4)*(2*f + 1)
Factor -19 - 3*l**2 - 5*l**4 - 29 + 2*l**4 + 18*l**3 - 72*l.
-3*(l - 4)**2*(l + 1)**2
Let f(m) = -m**3 + 4*m**2 - 3*m + 1. Let k be f(2). Suppose -5*b = s + 1, -3*b - k = -s - 4*b. Factor -w**3 - 4 + 0 + 2 + 3*w**2 - w**s + w.
-(w - 1)**2*(w + 1)*(w + 2)
Let j = -70 + 3. Let f = -334/5 - j. Factor 1/5*s + 0 + f*s**2.
s*(s + 1)/5
Let r = -14 + 40. Suppose 6 = -5*y + r. Factor 5*z**y - 4*z**4 + z**3 + z**3.
z**3*(z + 2)
Let a(b) = b. Let c be a(2). Factor 2/7*u**c + 2/7 - 4/7*u.
2*(u - 1)**2/7
Let l(d) = -d + 11. Let y be l(7). Suppose 17*j**4 - 2*j - 6*j**2 - 22*j**4 + 2*j**3 + 11*j**y = 0. What is j?
-1, -1/3, 0, 1
Let i(z) be the first derivative of -5*z**3/3 - 15*z**2/2 + 10. Factor i(s).
-5*s*(s + 3)
Let c(n) be the second derivative of n**4/12 - n**3/15 - 23*n. Suppose c(l) = 0. Calculate l.
0, 2/5
Factor 4*t**2 - 3*t + 2*t - 5*t**2.
-t*(t + 1)
Suppose 3 = -4*v + 11. Let n = 4 - v. Factor -1/5*a + 1/5*a**n + 0.
a*(a - 1)/5
Let 0 + n + 0*n**3 - 1/2*n**4 + 3/2*n**2 = 0. Calculate n.
-1, 0, 2
Let m(i) be the second derivative of -1/10*i**5 + 2/3*i**4 + 2*i**2 - 5/3*i**3 + i + 0. Suppose m(h) = 0. What is h?
1, 2
Let u(z) be the first derivative of -3*z**5/20 - 9*z**4/8 - 13*z**3/4 - 9*z**2/2 - 3*z - 27. Let u(g) = 0. What is g?
-2, -1
Let j = 91/948 - 1/79. Let r(i) be the second derivative of 0 + 1/10*i**5 - 1/8*i**4 + 3*i + 0*i**2 - j*i**3. Factor r(a).
a*(a - 1)*(4*a + 1)/2
Factor -2 + 2*n + 3*n**2 - 46 + 22*n - 6*n**2.
-3*(n - 4)**2
Suppose 1 = -5*z + 6*z. Let a = -1/3 + z. Factor -2*q**4 - 2/3*q**2 - 2*q**3 + 0 - a*q**5 + 0*q.
-2*q**2*(q + 1)**3/3
Let t be 36/(-54) - ((-44)/(-42) - 2). Let -t + 6/7*m - 6/7*m**2 + 2/7*m**3 = 0. What is m?
1
Let k(h) = -2*h**2 - 39*h - 51. Let z be k(-18). Factor 1/4*i**4 + 3/4*i**z + 0 + 1/4*i + 3/4*i**2.
i*(i + 1)**3/4
Suppose 3 + 13 = -4*y. Let h = y + 5. Factor -b**2 - b**4 - h - 4*b**2 + 2*b**3 - b**5 + 3*b**2 + 4*b**2 - b.
-(b - 1)**2*(b + 1)**3
Let y(l) be the first derivative of -l**8/504 - 2*l**7/315 - l**6/180 + l**2 - 3. Let m(x) be the second derivative of y(x). Solve m(p) = 0 for p.
-1, 0
Let u = 9 - 61/7. What is p in -4/7*p**2 - 2/7*p**3 + 4/7 + u*p = 0?
-2, -1, 1
Let s = 12 - 9. Factor 0 + 0*a**s + a**4 + 1/2*a - 1/2*a**5 - a**2.
-a*(a - 1)**3*(a + 1)/2
Let f(u) = u**2 - 13*u + 3. Let w = -2 + 15. Let x be f(w). Factor 3/4*o**5 + 0 + 0*o + 3/4*o**x + 3/2*o**4 + 0*o**2.
3*o**3*(o + 1)**2/4
Let c(u) = -u**5 + 5*u**4 + 7*u**3 - 9*u**2 - 6*u - 4. Let p(j) = 2*j**5 - 4*j**4 - 8*j**3 + 9*j**2 + 6*j + 5. Let f(x) = 5*c(x) + 4*p(x). Factor f(y).
3*y*(y - 1)*(y + 1)**2*(y + 2)
Solve -3/5*q + 3/5*q**3 + 3/5*q**2 - 3/5 = 0 for q.
-1, 1
Let x be (-6)/2*1*(-8)/36.