e first derivative of -1/3*k**6 + 0*k**i - 3/2*k**4 + 2/3*k**3 + 6/5*k**5 - 2 + 0*k. Factor d(h).
-2*h**2*(h - 1)**3
Suppose 3*y - 5 - 1 = 0. Factor 2/9*f**y + 0 - 2/9*f + 2/9*f**3 - 2/9*f**4.
-2*f*(f - 1)**2*(f + 1)/9
Let f = 41 + -36. Determine r so that 0 + 2/3*r**2 + 2/3*r**3 - 2/3*r**f - 2/3*r**4 + 0*r = 0.
-1, 0, 1
Let u = -241/3 - -81. Solve 0 + 2/3*y**2 + 2/3*y**3 - 2/3*y**4 - u*y = 0.
-1, 0, 1
Let o(s) be the third derivative of s**6/10 + 13*s**5/15 + 8*s**4/3 + 8*s**3/3 - 5*s**2. Factor o(y).
4*(y + 2)**2*(3*y + 1)
Let v(b) = -24*b**3 + 7*b**2 + 15*b + 5. Let p(j) = 96*j**3 - 27*j**2 - 61*j - 21. Let y(l) = -6*p(l) - 26*v(l). Factor y(o).
4*(o - 1)*(3*o + 1)*(4*o + 1)
Let -2/3*q + 5/3*q**2 + 0 = 0. Calculate q.
0, 2/5
Let z(p) be the third derivative of p**6/720 - p**5/360 - 3*p**2. Factor z(u).
u**2*(u - 1)/6
Let i(k) be the second derivative of -k**5/120 + k**4/32 - k**3/24 - k**2 - 4*k. Let t(f) be the first derivative of i(f). Solve t(x) = 0 for x.
1/2, 1
Let k be (36/24)/(6/8). Let t(j) be the third derivative of 0*j**3 + 0 + 1/60*j**6 + 1/210*j**7 - 2*j**k + 1/60*j**5 + 0*j**4 + 0*j. Factor t(g).
g**2*(g + 1)**2
Let s = -42 - -49. Let c(w) be the second derivative of 1/3*w**4 - 1/15*w**6 - 1/21*w**s - 1/3*w**3 - w**2 + 0 + 1/5*w**5 - 4*w. Suppose c(i) = 0. What is i?
-1, 1
Let t be (-52)/(-7) + (-21)/49. Let w = -5 + t. Factor -1/2*g + 0 - 1/2*g**w.
-g*(g + 1)/2
Suppose 0 = 3*y + 2 - 8. Determine h, given that 6*h**4 + 0*h**5 + h**2 + 2*h**5 + h**y + 9*h**3 - 3*h**3 = 0.
-1, 0
Factor -16/3 + 16/3*f - 4/3*f**2.
-4*(f - 2)**2/3
Let h(n) be the second derivative of -12*n**5/5 - 10*n**4 - 17*n**3/2 - 3*n**2 + n. Factor h(d).
-3*(d + 2)*(4*d + 1)**2
Let k(f) = 4*f - 1. Let g be k(2). Let p = g + -4. Factor -10*s**p + 7*s**4 + 3*s**5 + s**4 - s**2 - 5*s**5 + 5*s**2.
-2*s**2*(s - 2)*(s - 1)**2
Let s be 16/(-72) - (-2)/9. Suppose 0*p - 2*j + 4 = 4*p, -2*p - 2*j = s. Determine m so that 0 - 2/9*m**p + 2/9*m = 0.
0, 1
Let 36/5*u**2 - 24/5*u - 16/5 - 2*u**3 = 0. What is u?
-2/5, 2
Let c(z) be the first derivative of 3/4*z**4 + 2*z**3 + 0*z + 0*z**2 - 4. Factor c(t).
3*t**2*(t + 2)
Factor 4/5*w + 1/5*w**5 - 2/5*w**4 + 4/5*w**2 - 3/5*w**3 + 0.
w*(w - 2)**2*(w + 1)**2/5
Let m(a) = -1. Let p(q) = -q**2 + 8*q - 18. Let n(d) = 6*m(d) - 3*p(d). Determine b, given that n(b) = 0.
4
Suppose 0 = -w - 2*s + 11, -2*s = 3*w - 12 - 9. Factor 4*v**3 + 220*v**4 - 212*v**4 - 3*v**w + 7*v**5.
4*v**3*(v + 1)**2
Factor 0*t + 1/2*t**2 + 0 + 1/2*t**3.
t**2*(t + 1)/2
Factor 93*c**3 - 33*c**3 - 34*c**3 + 10*c**2 - 31*c**3.
-5*c**2*(c - 2)
Let b(u) be the third derivative of 1/945*u**7 - 4*u**2 + 1/54*u**4 + 0 + 0*u**3 + 0*u - 1/90*u**5 + 0*u**6. Let b(v) = 0. Calculate v.
-2, 0, 1
Let r = -8/145 - 181/9860. Let u = 579/476 + r. Find x such that 0 - 58/7*x**4 + 6*x**5 + 0*x + 8/7*x**3 + u*x**2 = 0.
-2/7, 0, 2/3, 1
Suppose 0 = -5*f + 10, 2*f - 16 = -5*u + 13. Factor 11/3*p**3 - p**4 - 2/3 + 3*p - u*p**2.
-(p - 1)**3*(3*p - 2)/3
Solve 7/2*c**4 - 1/2*c**5 + 0 - 8*c**2 - 4*c**3 + 0*c = 0.
-1, 0, 4
Let m(x) be the first derivative of -1/6*x**4 + 1/3*x**2 + 2*x**5 + 4/3*x + 1 - 34/9*x**3. Solve m(c) = 0.
-1, -1/3, 2/5, 1
Let b be (-10)/(-8) - (-42)/56. Let q(k) be the first derivative of 1 + 0*k**3 - b*k - 1/4*k**4 + 3/2*k**2. Determine a, given that q(a) = 0.
-2, 1
Suppose 5*b = 17 + 8. Let h = 7 - b. Solve -2*w**h + w**2 + 3*w**2 = 0 for w.
0
Let c = -1/102 - -71/306. Determine k so that c*k**3 + 0 - 2/9*k**4 - 2/9*k + 2/9*k**2 = 0.
-1, 0, 1
Let p(f) = 9*f - 341. Let y be p(38). Factor y + l**2 - 5/2*l.
(l - 2)*(2*l - 1)/2
Let l(t) be the third derivative of 0*t + 0 + 0*t**3 + 1/24*t**4 - 8*t**2 + 13/120*t**5. Factor l(y).
y*(13*y + 2)/2
Let n(p) be the third derivative of 1/24*p**4 - 4*p**2 + 0 - 1/12*p**3 - 1/120*p**5 + 0*p. Determine y so that n(y) = 0.
1
Suppose -24*j = -15*j - 18. Factor -8/5*n - 2/5*n**4 + 6/5*n**j + 4/5*n**3 - 8/5.
-2*(n - 2)**2*(n + 1)**2/5
Let m(f) = -20*f**4 + 6*f**3 + 10*f**2 - 14*f + 2. Let d(q) = -13*q**4 + 4*q**3 + 7*q**2 - 9*q + 1. Let k(v) = -8*d(v) + 5*m(v). Factor k(g).
2*(g - 1)**2*(g + 1)*(2*g + 1)
Let x be (-3)/9*(3 + -3). Let v(s) be the second derivative of 5/18*s**4 + x*s**2 + 0 - 2*s - 7/30*s**5 + 2/9*s**3. Find r such that v(r) = 0.
-2/7, 0, 1
Let h(d) be the first derivative of d**6/2 + 6*d**5/5 - 2*d**3 - 3*d**2/2 - 23. Factor h(u).
3*u*(u - 1)*(u + 1)**3
Let a(j) be the second derivative of -j**9/9072 + j**8/5040 + j**3/6 + 3*j. Let z(n) be the second derivative of a(n). Determine v, given that z(v) = 0.
0, 1
Suppose 3/7*z**2 - 15/7 - 12/7*z = 0. What is z?
-1, 5
Let t(c) be the first derivative of 2*c**5/55 + c**4/22 - 4*c**3/11 - 4*c**2/11 + 16*c/11 + 16. Determine k so that t(k) = 0.
-2, 1, 2
Let q be (1/3)/(32/60). Let g(z) be the first derivative of -q*z**4 + 0*z + 1/6*z**3 + 1/2*z**2 + 2 + 1/4*z**6 - 1/10*z**5. Find y, given that g(y) = 0.
-1, -2/3, 0, 1
Suppose -2*z - 8 = -3*d, 7*z + 12 = 2*d + 4*z. Let l = d + 5. Suppose 4*n - 7*n**l - 16*n**2 - 9*n**4 + 25*n**4 - 2*n**3 + 5*n**3 = 0. What is n?
-1, 0, 2/7, 1, 2
Let o(w) be the second derivative of -w**7/1680 + w**6/360 - w**5/240 + w**3/2 - w. Let i(m) be the second derivative of o(m). Factor i(h).
-h*(h - 1)**2/2
Let p = -11 - -21. Let y(b) = b**3 + 4*b**2 + 2*b - 1. Let m be y(-3). Suppose -p*d**m + d - 4*d**2 - 5*d = 0. What is d?
-2/7, 0
Let b(w) = -3*w**2 + 8*w - 7. Let d(o) = -4*o**2 + 25*o - 12. Let n(m) = -m**2 + 6*m - 3. Let p(i) = 2*d(i) - 9*n(i). Let h(q) = -3*b(q) - 7*p(q). Factor h(u).
2*u*(u + 2)
Let x(k) be the first derivative of -k**3/12 + k**2/4 + 25. Let x(q) = 0. What is q?
0, 2
Let b = 89/150 - 14/25. Let l(r) be the third derivative of -2*r**2 + 1/24*r**4 + 0*r + 0 - 1/336*r**8 - b*r**5 + 1/105*r**7 + 0*r**3 + 0*r**6. Factor l(k).
-k*(k - 1)**3*(k + 1)
Let a(j) be the third derivative of j**6/180 - j**4/12 - j**3/2 + 2*j**2. Let z(f) be the first derivative of a(f). Suppose z(s) = 0. What is s?
-1, 1
Suppose 3*c - 2 - 7 = 0. Factor -6*g + g**3 + 2*g + c*g.
g*(g - 1)*(g + 1)
Let f(v) = -v**3 + v**2 + v. Let y(r) = -5*r**3 + 3*r**2 + 4*r. Let a(j) = -4*f(j) + y(j). Factor a(k).
-k**2*(k + 1)
Let y(w) = -5*w + 13 - w + 2*w**2 - 2*w + 0*w**2. Let d(t) = 3*t**2 - 12*t + 19. Let n(l) = -5*d(l) + 7*y(l). Suppose n(f) = 0. Calculate f.
2
Suppose 0 = u - 5*u - 0*u. Factor u*z + 1/2*z**2 + 0.
z**2/2
Let h = 1 + -11. Let y be (-28)/h + 1/5. Find j such that 4*j + 0 + 0*j + 1 + 2*j**4 - y - 4*j**3 = 0.
-1, 1
Suppose -2*r = 4*k - 3 - 5, -k + 2 = 3*r. Let m = 18 - 14. Suppose 2/5*s**m + r + 6/5*s**2 + 2/5*s + 6/5*s**3 = 0. Calculate s.
-1, 0
Determine c so that 4/5 + 3/5*c - 1/5*c**2 = 0.
-1, 4
Let p(h) be the third derivative of h**7/2205 + h**6/1260 - h**5/126 + h**4/84 + 15*h**2. Suppose p(j) = 0. What is j?
-3, 0, 1
Let r(w) be the third derivative of -w**9/120960 + w**7/3360 + w**6/720 - w**5/15 - 4*w**2. Let g(c) be the third derivative of r(c). Factor g(z).
-(z - 2)*(z + 1)**2/2
Let q = 3 - 11/4. Let r(o) be the second derivative of -2*o - 1/48*o**4 - q*o**2 + 1/8*o**3 + 0. Factor r(s).
-(s - 2)*(s - 1)/4
Let a(i) = 2*i - 26. Let r be a(14). Let 0*n**r + 0 + 0*n + 2/3*n**3 = 0. Calculate n.
0
Let a be -4*(2/2 + 0). Let c(x) = x**2 - 6*x - 3*x**2 + 2*x**3 + 6 + x**2 - x**3. Let z(b) = -b**3 + b**2 + 5*b - 5. Let q(f) = a*c(f) - 5*z(f). Factor q(v).
(v - 1)**2*(v + 1)
Suppose -2 = 4*l - 5*l. Let i be ((-8)/56)/(l/(-8)). Determine g, given that i - 8/7*g**2 - 6/7*g + 12/7*g**3 - 6/7*g**5 + 4/7*g**4 = 0.
-1, 2/3, 1
Let t(c) be the second derivative of 1/100*c**5 + 0*c**3 + 0 + 0*c**2 + 5*c + 1/150*c**6 - 1/210*c**7 - 1/60*c**4. Solve t(d) = 0 for d.
-1, 0, 1
Let p(y) be the second derivative of y**8/3360 - y**7/420 + y**6/120 - y**5/60 - 2*y**4/3 + 2*y. Let c(s) be the third derivative of p(s). Factor c(k).
2*(k - 1)**3
Suppose -2*b - 4*d = 0, -2 + 0 = d. What is j in 0*j**2 - 3 + 11 + 4*j**2 + b - 16*j = 0?
1, 3
Let j be -35 + (-2 + 0 - 0). Let a = -184/5 - j. Factor 0 + 1/5*h**4 - 1/5*h**3 + 1/5*h**5 - a*h**2 + 0*h.
h**2*(h - 1)*(h + 1)**2/5
Let k be (24 - (-1)/(-1)) + -2. Suppose w**5 + k*w - 6 - 9*w**4 - 6*w**3 + 12*w**4 - 10*w**2 - 3 = 0. What is w?
-3, 1
Let o(v) be the first derivative of -4/9*v - 2/27*v**3 - 2 + 1/3*v**2. Factor o(f).
-2*(f