tive of r(c). Factor j(h).
-h**4
Suppose 3*n - 3 = 3. Factor 2 + 4*r**4 - r + 2*r**n + 2*r**2 - r**5 - 2 - 6*r**3.
-r*(r - 1)**4
Let -m**3 - 50*m**4 + 5*m - 34*m**3 - 30*m**3 - 5*m**2 - 5*m**2 = 0. What is m?
-1, -1/2, 0, 1/5
Let i(o) be the second derivative of -o**7/420 - o**6/150 - o**5/200 - 25*o. Factor i(y).
-y**3*(y + 1)**2/10
Let t = -330 + 333. Let 1/4*y**t + 1/2 - 3/4*y + 0*y**2 = 0. What is y?
-2, 1
Let p(w) be the first derivative of -w**3/3 + w**2 - w - 6. Let p(r) = 0. Calculate r.
1
Let o(l) be the first derivative of -8*l**5/25 - 3*l**4/2 - 8*l**3/5 + 4*l**2/5 + 11. Factor o(s).
-2*s*(s + 2)**2*(4*s - 1)/5
Let j(t) be the second derivative of -2*t**7/63 - 4*t**6/45 + 11*t**5/60 + 11*t**4/12 + t**3 + 23*t. Let j(v) = 0. What is v?
-3/2, -1, 0, 2
Let x(b) be the third derivative of -1/70*b**7 + 0*b - 9*b**2 + 0*b**3 - 1/40*b**6 + 1/112*b**8 + 0*b**4 + 1/20*b**5 + 0. Suppose x(g) = 0. Calculate g.
-1, 0, 1
Let p = -41 - -44. Let c(f) be the third derivative of 1/20*f**5 + 0 - 2*f**2 + 1/2*f**p - 1/4*f**4 + 0*f. Factor c(s).
3*(s - 1)**2
Suppose 22 = 4*i + 14. Factor 1/2*u**i - u + 1/2.
(u - 1)**2/2
Let b be (-32)/48 - 2/(-3). Let k(p) be the third derivative of 1/10*p**5 + 1/40*p**6 + 0*p + 2*p**2 + 1/8*p**4 + 0 + b*p**3. Factor k(i).
3*i*(i + 1)**2
Let a = 5 + -2. Let z(k) = -k**3 - 6*k**2 - 5*k. Let j be z(-5). Factor 3*i**a + 2*i**2 - 7*i**3 + 2*i**4 + j*i**2.
2*i**2*(i - 1)**2
Let n(p) be the second derivative of p**8/336 + p**7/105 + p**6/120 + 3*p**2/2 + 4*p. Let x(r) be the first derivative of n(r). Solve x(y) = 0 for y.
-1, 0
Let b(o) = 2*o**3 + 2. Let h(l) = -2*l**2 + 4*l - 6. Let z(a) = -a**3 - a**2 + 3*a - 5. Let k(v) = 2*h(v) - 3*z(v). Let y(m) = 5*b(m) - 3*k(m). Factor y(r).
(r + 1)**3
Let z(t) = -5*t**4 - 18*t**3 - 39*t**2 - 38*t - 12. Let r(n) = 16*n**4 + 54*n**3 + 117*n**2 + 115*n + 36. Let u(i) = 2*r(i) + 7*z(i). Find h such that u(h) = 0.
-2, -1
Suppose 0 = 5*h - 11 + 1. Factor 4/7*w + 2/7 + 2/7*w**h.
2*(w + 1)**2/7
Let u(q) = -q**3 + 7*q**2 - q + 7. Let n be u(7). Let j(d) be the second derivative of n*d**2 - 1/54*d**4 + 0 + 1/27*d**3 + 2*d. Find r such that j(r) = 0.
0, 1
Let -8*b**2 - 8*b**3 + b**3 + b**3 + 12*b**2 = 0. Calculate b.
0, 2/3
Let k(u) = u**3. Suppose 3 = -2*j + 3*j. Let z(v) = v**4 - 2*v**3 - v**2 - v. Let b(x) = j*k(x) + z(x). What is f in b(f) = 0?
-1, 0, 1
Let a(y) be the second derivative of y**5/240 - y**4/96 + y**2 - y. Let z(g) be the first derivative of a(g). Factor z(o).
o*(o - 1)/4
Let l = 166 - 163. Let o(q) be the third derivative of 0*q**l + 0*q**5 - 3*q**2 - 1/24*q**4 + 0 + 1/120*q**6 + 0*q. Let o(b) = 0. What is b?
-1, 0, 1
Let y(g) be the second derivative of 2*g + 0*g**2 + 0 + 1/24*g**4 + 0*g**3 + 1/60*g**6 + 1/20*g**5. Factor y(f).
f**2*(f + 1)**2/2
Let r(b) be the first derivative of -b**4/10 + 2*b**3/15 + b**2 + 6*b/5 + 15. Factor r(w).
-2*(w - 3)*(w + 1)**2/5
Let s(y) be the third derivative of -y**7/1470 - y**6/840 + 8*y**2. Factor s(i).
-i**3*(i + 1)/7
Let b(a) = a**2 - a - 1. Let p = -10 + 14. Let u(n) = -4*n**2 + 3 - 2*n**3 + p*n + 2*n + 4*n**4 - 3*n**4. Let q(i) = 4*b(i) + u(i). Factor q(c).
(c - 1)**3*(c + 1)
Factor 13*j**2 + 27*j + 6 - 3*j**2 + 0 + 11*j**2.
3*(j + 1)*(7*j + 2)
Let k(z) be the third derivative of 0 + z**2 + 1/18*z**3 + 1/36*z**4 + 0*z + 1/180*z**5. Factor k(m).
(m + 1)**2/3
Let b = -66/5 - -269/20. Find g such that 0 + 0*g**2 - b*g + 1/4*g**3 = 0.
-1, 0, 1
Let z = 4153/3 + -1384. Factor 0*k**2 + 0*k + 5/6*k**4 + 0 - z*k**3.
k**3*(5*k - 2)/6
Let 2/3*s**2 - 4*s + 0 + 2/3*s**3 = 0. What is s?
-3, 0, 2
Let x(s) be the second derivative of -135*s**7/14 + 21*s**6 + 21*s**5/4 - 295*s**4/6 + 50*s**3 - 20*s**2 + 54*s + 1. What is p in x(p) = 0?
-1, 2/9, 2/3, 1
Let w = 20 - 17. Factor -5 - 4*k**5 - 2*k**w - k + 7*k**5 + 6*k**2 + 4 - 5*k**4.
(k - 1)**3*(k + 1)*(3*k + 1)
Let u(k) = -24*k**5 + 95*k**4 - 89*k**3 + 39*k**2 + 7. Let c(z) = 12*z**5 - 48*z**4 + 44*z**3 - 20*z**2 - 4. Let a(t) = -7*c(t) - 4*u(t). Solve a(l) = 0 for l.
0, 2/3, 1, 2
Let n(p) be the second derivative of p**6/3 + 3*p**5/4 - 5*p**3/6 - p. Factor n(i).
5*i*(i + 1)**2*(2*i - 1)
Factor -4*z**3 + 52/5*z**2 - 44/5*z + 12/5.
-4*(z - 1)**2*(5*z - 3)/5
Let d(a) be the first derivative of -4*a**5/25 - a**4/5 + 4*a**3/15 + 2*a**2/5 + 6. Determine c so that d(c) = 0.
-1, 0, 1
Let k(b) be the first derivative of 2*b**5/55 - 3*b**4/22 + 2*b**3/11 - b**2/11 - 17. Factor k(j).
2*j*(j - 1)**3/11
Let x = -436 + 1747/4. What is p in x*p**4 + 9/4*p**2 - 9/4*p**3 + 0 - 3/4*p = 0?
0, 1
Let a = -1 + 3. Let -50*j - j**2 + 56*j - 2*j**a - 3 = 0. What is j?
1
Let r(q) be the second derivative of q**6/1260 + q**5/420 - q**4/42 + 7*q**3/6 + 2*q. Let s(p) be the second derivative of r(p). Factor s(h).
2*(h - 1)*(h + 2)/7
Let x be 3 + -1 + -1 + 3. Suppose -2*t + 4 + x = 0. Factor 0 + 0*w - 2/3*w**3 + 1/3*w**t + 1/3*w**2.
w**2*(w - 1)**2/3
Let m(a) be the third derivative of a**8/6720 + a**5/10 + 6*a**2. Let y(d) be the third derivative of m(d). Suppose y(j) = 0. What is j?
0
Factor 1/3*d**2 + 2/3*d**3 - 1/2 + 1/6*d**4 - 2/3*d.
(d - 1)*(d + 1)**2*(d + 3)/6
Let k = -6 - -8. Suppose n = -5*g + 10 + 10, -10 = -4*g - k*n. Factor 4*x**3 - g*x**2 + x**2 + 2*x - 2*x**2.
2*x*(x - 1)*(2*x - 1)
Let c(u) = 24*u**3 - 110*u**2 + 214*u - 162. Let t(x) = -x**4 - 24*x**3 + 111*x**2 - 213*x + 162. Let z(h) = 6*c(h) + 4*t(h). Suppose z(p) = 0. What is p?
3
Suppose 242*y**2 - 83*y**2 - 84*y**2 - 76*y**2 = 0. What is y?
0
Let y(l) = 3*l**2 + 5*l - 3. Let z(n) be the first derivative of n**3/3 + n**2 - n - 5. Let b be -6*5*(-2)/(-6). Let t(r) = b*z(r) + 4*y(r). Factor t(s).
2*(s - 1)*(s + 1)
Let z = -14 - 8. Let x = 14 + z. Let b(f) = 22*f**3 + 20*f**2 - 30*f - 12. Let q(j) = 15*j**3 + 13*j**2 - 20*j - 8. Let c(g) = x*q(g) + 5*b(g). Factor c(w).
-2*(w - 1)*(w + 1)*(5*w + 2)
Let z = -9 - -23. Let c = z + -12. Factor 0 + 0*p + 0*p**c - 2/5*p**4 + 0*p**3.
-2*p**4/5
Suppose 4*k = 2*u - 6*u, 0 = 2*k - 3*u - 20. Let g(o) be the third derivative of 0*o**k - 1/210*o**5 + 1/21*o**3 + 0*o + 0 + 2*o**2. Factor g(z).
-2*(z - 1)*(z + 1)/7
Find k such that -16 + 12*k**2 + 20*k + 17*k**4 - 30*k**4 + 17*k**4 - 20*k**3 = 0.
-1, 1, 4
Let b(x) be the first derivative of -3*x**4/16 + 3*x**3/4 + 3*x**2/8 - 9*x/4 + 8. Factor b(h).
-3*(h - 3)*(h - 1)*(h + 1)/4
Let o(u) be the third derivative of -u**5/12 - 5*u**4/6 - 10*u**3/3 - 9*u**2. Factor o(t).
-5*(t + 2)**2
Let f(h) be the first derivative of 3*h**5/10 + 3*h**4/8 - h**3/2 - 3*h**2/4 + 9. Suppose f(m) = 0. Calculate m.
-1, 0, 1
Let f be (120/9)/4 - (-2)/(-6). Let d(p) be the first derivative of -8/3*p + 3 + 8/3*p**2 + 10/9*p**f. Factor d(v).
2*(v + 2)*(5*v - 2)/3
Let x = -42 + -24. Let g = x - -464/7. Suppose -g*w**2 - 8/7*w - 8/7 = 0. Calculate w.
-2
Let c(g) be the third derivative of 1/60*g**5 + 0*g + 6*g**2 + 2/3*g**3 + 1/6*g**4 + 0. Suppose c(b) = 0. Calculate b.
-2
Let c(j) be the third derivative of j**5/20 - 5*j**4/8 + 2*j**3 - 4*j**2. Factor c(k).
3*(k - 4)*(k - 1)
Let h(p) be the third derivative of -p**5/2 - 5*p**4/3 + p**3/6 - 2*p**2. Let n = -28 - -39. Let t(i) = -6*i**2 - 8*i. Let u(l) = n*t(l) - 2*h(l). Factor u(r).
-2*(r + 1)*(3*r + 1)
Suppose -2*w - 2 = -6. Suppose 5*h + 9*h**3 - 11*h + 6*h - 3*h**w + 12*h**4 = 0. Calculate h.
-1, 0, 1/4
Let w(s) = s**2 - s. Let k(i) = -8*i**2 + 10*i - 2. Let f(v) = -k(v) - 10*w(v). Solve f(h) = 0 for h.
-1, 1
Let l(a) be the second derivative of -a**4/8 + 5*a**3/4 + a + 2. Find h, given that l(h) = 0.
0, 5
Solve -4/9*s + 1/9*s**2 + 1/3 = 0 for s.
1, 3
Solve -5/3*p**3 + 10/3*p**2 + 0*p - 10/3*p**4 + 0 + 5/3*p**5 = 0 for p.
-1, 0, 1, 2
Solve 0*v**4 + 0 + 1/3*v**5 + 0*v**2 + 0*v - 1/3*v**3 = 0 for v.
-1, 0, 1
Suppose 0*r**2 - 3*r**4 + 0*r**2 - r**4 = 0. Calculate r.
0
Suppose -2*o = n + n, -32 = -3*o + 5*n. Determine q, given that -2*q**2 + o*q**2 + 2*q**3 + 0*q**2 - 4*q**3 = 0.
0, 1
Let f(t) be the first derivative of -2*t**2 - 3*t + 1/4*t**4 - 4/3*t**3 + 9/20*t**5 - 2. Let a(k) be the first derivative of f(k). Factor a(s).
(s - 1)*(3*s + 2)**2
Let r be -2*1 - (6 + -11). Let h(w) be the second derivative of -2/5*w**6 - 33/20*w**5 + 0 + 3/2*w**2 - 9/4*w**4 + w - 1/2*w**r. Factor h(t).
-3*(t + 1)**3*(4*t - 1)
Suppose 3 = g - 0. Suppose -6*s + s + 4*x - 12 = 0