d derivative of 1/8*b**4 + 0 + 1/20*b**5 + 1/6*b**3 + 1/120*b**v + 2*b**2 + 0*b. Factor h(q).
(q + 1)**3
Suppose 3*w - 6 = -0. Factor 1/3*z**4 + 0 + z**w + z**3 + 1/3*z.
z*(z + 1)**3/3
Let f = 46 - 78. Let g = 34 + f. Factor 0*o + 0 + 1/5*o**3 + 0*o**g - 1/5*o**4.
-o**3*(o - 1)/5
Let w(y) be the first derivative of 0*y**2 - 1 - 1/12*y**4 - 1/3*y**3 + y. Let j(q) be the first derivative of w(q). Find f such that j(f) = 0.
-2, 0
Suppose 4*j = 2*s + 4, -j - 4 = -0. Let m be (-8)/s - 68/(-40). Determine n so that -3/2*n**3 - n - 7/2*n**2 + 7/2*n**4 + m*n**5 + 0 = 0.
-1, -2/5, 0, 1
Let x(t) = 3*t**3 - 10*t**2 + 2*t - 3. Let l(h) = -6*h**3 + 19*h**2 - 4*h + 5. Let c(o) = 3*l(o) + 5*x(o). Factor c(q).
-q*(q - 2)*(3*q - 1)
Let j = 147 + -147. Let f(u) be the first derivative of 1/3*u**2 + 2 + j*u + 2/9*u**3. Factor f(r).
2*r*(r + 1)/3
Let p(k) be the third derivative of k**7/420 - k**6/240 - k**5/120 + k**4/48 - 9*k**2. Factor p(y).
y*(y - 1)**2*(y + 1)/2
Let u(r) be the second derivative of -r**9/22680 - r**8/3360 + r**6/270 - r**4/6 - 2*r. Let q(g) be the third derivative of u(g). Suppose q(t) = 0. Calculate t.
-2, 0, 1
Suppose 1/2*a**3 + 0 + 0*a**2 + 0*a - 1/2*a**5 + 0*a**4 = 0. Calculate a.
-1, 0, 1
Let o(w) be the second derivative of -15*w**5/4 - 35*w**4/2 - 22*w**3 - 12*w**2 - 18*w. Factor o(h).
-3*(h + 2)*(5*h + 2)**2
Suppose 5*a = -5*w + 40, -40 = -5*w + 3*a + a. Let k be (-22)/w - (-2 - 1). Suppose 3/4*o**3 + 0*o + k*o**5 - 1/4*o**2 - 3/4*o**4 + 0 = 0. Calculate o.
0, 1
Suppose -3*y + n - 3*n + 2 = 0, 3*y + 5*n - 5 = 0. Factor y*d**2 + 1/4*d**4 + 0 + 0*d + 1/4*d**3.
d**3*(d + 1)/4
Let g be ((-39)/9)/(-1) - -1. Solve -14*m**4 - 124/3*m**3 - 74/3*m**2 + 8/3 + g*m = 0 for m.
-2, -1, -2/7, 1/3
Solve 4/9*f**2 + 8/9 + 4/3*f = 0 for f.
-2, -1
Let x(f) be the third derivative of 0*f**4 - f**2 - 1/192*f**8 + 0*f**3 + 0 + 0*f**6 + 0*f - 1/420*f**7 + 0*f**5. Factor x(k).
-k**4*(7*k + 2)/4
Let y(t) = -8*t**2 + 90*t + 26. Let b(v) = -v**2 + 10*v + 3. Let o(d) = -52*b(d) + 6*y(d). Factor o(p).
4*p*(p + 5)
Find c such that -96*c - 16*c**2 - 10*c**5 - 15 + 64*c**3 - 6 + 5*c**4 - 11 + c**4 = 0.
-2, -1, -2/5, 2
Let x(j) = 305*j**5 - 665*j**4 + 415*j**3 - 105*j**2 + 25*j. Let p(q) = -38*q**5 + 83*q**4 - 52*q**3 + 13*q**2 - 3*q. Let r(b) = 25*p(b) + 3*x(b). Factor r(i).
-5*i**2*(i - 1)**2*(7*i - 2)
Let u = -76 - -76. Let z(s) be the second derivative of -2*s - 7/36*s**4 + u + 1/3*s**2 + 5/18*s**3. Determine q so that z(q) = 0.
-2/7, 1
Factor 2/7*u**2 + 2/21*u**3 - 2/21*u - 2/7.
2*(u - 1)*(u + 1)*(u + 3)/21
Suppose 0*v - 2*v = 42. Let z = -13 - v. Factor 6*y**3 - 6 + z*y**2 + 0 + 5 - 10*y - 3.
2*(y - 1)*(y + 2)*(3*y + 1)
Let p = -1 + 1. Suppose 2 = w - p*w. What is t in -6*t**w + t**2 - t + t**2 = 0?
-1/4, 0
Suppose -10*y = -8*y + s + 2, 0 = 4*y - 5*s - 10. Factor 1/2*j + y - 3/2*j**2 - 2*j**3.
-j*(j + 1)*(4*j - 1)/2
Let k(f) be the third derivative of 1/120*f**5 + 2*f**2 - 1/24*f**4 + 1/12*f**3 + 0*f + 0. Factor k(d).
(d - 1)**2/2
Let d(a) = -a**2 + 8*a + 2. Let y be d(6). Suppose 4*t - 11 - 7 = -3*z, -2*t = 4*z - y. Solve 4*m - 2 + 0 + 2*m**4 - m**3 - t*m**3 = 0 for m.
-1, 1
Let t(v) be the third derivative of -1/840*v**7 - 1/1344*v**8 + 0*v**3 + 1/160*v**6 - 1/48*v**4 - 2*v**2 + 1/240*v**5 + 0 + 0*v. Suppose t(z) = 0. Calculate z.
-2, -1, 0, 1
Let h(b) be the first derivative of -b**6/40 - b**5/20 + b**4/8 + b**3/2 - 4*b**2 + 10. Let z(t) be the second derivative of h(t). Factor z(x).
-3*(x - 1)*(x + 1)**2
Let o = -2/421 - -856/2947. Suppose 0 = d + 4*d - 10. Let -2/7*p + 0 - o*p**d = 0. Calculate p.
-1, 0
Let k = -18 + 19. Suppose -2 - k = -q. Factor 0*p + 2/3*p**2 + 1/3*p**q + 0.
p**2*(p + 2)/3
Let y(o) be the third derivative of o**8/10080 + o**7/1260 + o**5/10 + 4*o**2. Let x(m) be the third derivative of y(m). Let x(h) = 0. What is h?
-2, 0
Factor -2/3*n - 2/3*n**3 + 4/3*n**2 + 0.
-2*n*(n - 1)**2/3
Suppose -z - 4 = -0*z. Let c be ((-3)/(-18))/((-2)/z). Factor -1/3 - 2/3*x - c*x**2.
-(x + 1)**2/3
Let t = -1 - -4. Factor x**3 + 4*x**3 + x**t - 4*x**2 - 2*x.
2*x*(x - 1)*(3*x + 1)
Suppose -1 - 1 - a - 11*a + 12*a**3 + 3*a**2 - 1 = 0. What is a?
-1, -1/4, 1
Solve -6/5*v**4 + 9/5*v**2 + 3/5*v - 3/5*v**3 - 3/5 = 0.
-1, 1/2, 1
Let x(d) be the third derivative of d**7/1260 + d**4/8 - 2*d**2. Let j(f) be the second derivative of x(f). Solve j(g) = 0 for g.
0
Let a(x) = 101*x**4 + 48*x**3 - 133*x**2 - 36*x + 49. Let d(k) = 51*k**4 + 24*k**3 - 66*k**2 - 18*k + 24. Let q(u) = 3*a(u) - 5*d(u). Factor q(s).
3*(s + 1)**2*(4*s - 3)**2
Factor 1 - 4/3*g + 1/3*g**2.
(g - 3)*(g - 1)/3
Determine c so that c**3 - 1/2*c**4 - 1/2*c - 1/2*c**5 - 1/2 + c**2 = 0.
-1, 1
Let n = 10622/6645 - -2/1329. Solve -8/5*p**2 + 4/5*p - 4/5*p**3 + n = 0 for p.
-2, -1, 1
Let t(b) = -b**2 + b - 1. Let q(i) = i**3 - 5*i**2 + 3*i - 3. Let f(g) = q(g) - 3*t(g). Factor f(h).
h**2*(h - 2)
Suppose -5*k - 42 = -4*f - 0*k, 0 = f + 4*k. Factor -2*b**3 + 2*b - 8*b**2 + f*b**2.
-2*b*(b - 1)*(b + 1)
Suppose -4/5*n**4 + 8/5*n + 4/5*n**5 + 4/5*n**2 + 0 - 12/5*n**3 = 0. What is n?
-1, 0, 1, 2
Let 4/3*c**2 - 2/9*c**3 + 0*c + 0 = 0. Calculate c.
0, 6
Let c(l) = -l**3 - 5*l**2 + 4*l + 9 - l + 3*l. Let o be c(-6). Solve 2*j**3 - o + 9 - 2*j**2 = 0 for j.
0, 1
Let 6/5*j**3 + 0 - 4/5*j**4 - 2/5*j**5 - 8/5*j + 8/5*j**2 = 0. What is j?
-2, 0, 1
Factor -5*q + 6*q**2 - q**2 - q**2 + 4 - 3*q.
4*(q - 1)**2
Suppose -5/6*b**3 - 1/3 + 5/6*b + 1/3*b**2 = 0. What is b?
-1, 2/5, 1
Let a(f) be the first derivative of 5*f**3/9 + f**2/2 - 2*f/3 - 9. Factor a(p).
(p + 1)*(5*p - 2)/3
Let o(d) be the third derivative of 1/90*d**5 + 1/72*d**6 + 2*d**2 - 1/9*d**3 - 5/72*d**4 + 0 + 0*d. Factor o(y).
(y - 1)*(y + 1)*(5*y + 2)/3
Factor -3/4*n**2 - 3/2*n**4 + 0 + 0*n - 15/8*n**3 - 3/8*n**5.
-3*n**2*(n + 1)**2*(n + 2)/8
Let i = -272/3 + 92. Factor 0 - 2/3*x**5 + i*x**3 + 0*x**4 + 0*x**2 - 2/3*x.
-2*x*(x - 1)**2*(x + 1)**2/3
Determine l, given that l + l + 4 - l**2 + l = 0.
-1, 4
Factor 2/7*b**4 - 2/7*b**3 - 2/7*b**2 + 0*b + 0 + 2/7*b**5.
2*b**2*(b - 1)*(b + 1)**2/7
Factor 0 + 1/2*y**2 - 1/2*y.
y*(y - 1)/2
Let p(s) be the third derivative of s**7/1680 + s**6/360 - s**3/2 + 6*s**2. Let o(k) be the first derivative of p(k). Suppose o(b) = 0. What is b?
-2, 0
Let x(o) = 40*o**3 - 9*o**2 - 27*o + 1. Let c(y) be the third derivative of y**6/6 - y**5/12 - 13*y**4/24 - 3*y**2. Let w(q) = 5*c(q) - 2*x(q). Factor w(z).
(z - 1)*(4*z + 1)*(5*z + 2)
Let m(u) be the third derivative of u**6/200 + u**5/300 - u**4/40 - u**3/30 + 8*u**2. Let m(a) = 0. What is a?
-1, -1/3, 1
Let v(l) = -l**2 + l. Let i be v(0). Let -8*s**4 + 4 + i*s**3 + 10*s - 2*s**5 - 8*s**3 - 5*s**2 + 9*s**2 = 0. What is s?
-2, -1, 1
Let k(a) be the third derivative of -a**7/630 + a**6/90 + a**5/90 - a**4/6 - a**3/2 - a**2. What is f in k(f) = 0?
-1, 3
Let w = -2 - -4. Let s be w/(-8) - (-10)/24. Factor 0*k - 1/6 + s*k**2.
(k - 1)*(k + 1)/6
Let z be (126/5)/(55/25). Determine h, given that z*h**2 + 64/11*h + 8/11 = 0.
-2/7, -2/9
Let a = -152/5 - -31. Let g = a - 4/15. Factor 3 - 2*k + g*k**2.
(k - 3)**2/3
Let p(l) = -2*l**2. Let d be p(-1). Let v = 5 + d. Factor -4*w + v*w**2 - 2 - w**2 + 4.
2*(w - 1)**2
Let m be (-3)/(12/8)*-1. Solve 20 + u - 18 - 4*u**2 + m*u + 5*u**2 = 0 for u.
-2, -1
Let n be -1*(-3)/9*9. Solve -4*u**2 - 4*u**2 + 6*u + u - 4*u**3 - n*u + 8 = 0 for u.
-2, -1, 1
Let u(c) be the first derivative of 2*c**5/45 + 13*c**4/36 + 5*c**3/9 - c**2/18 - 5*c/9 + 42. Factor u(r).
(r + 1)**2*(r + 5)*(2*r - 1)/9
Let q(t) be the second derivative of 35*t**4/4 - 115*t**3/6 + 5*t**2 - 16*t. Suppose q(m) = 0. Calculate m.
2/21, 1
Let f(g) be the first derivative of g**6/66 - 3*g**5/55 + 4*g**3/33 - 12. Factor f(q).
q**2*(q - 2)**2*(q + 1)/11
Let d(x) be the first derivative of -4/9*x**3 - 2 + 1/3*x**2 + 2/3*x. Let d(n) = 0. Calculate n.
-1/2, 1
Let k(p) be the first derivative of -p**5/45 - p**4/18 + p**2/9 + p/9 - 9. Factor k(g).
-(g - 1)*(g + 1)**3/9
Suppose 17*w - 55 = 30. Let q(c) be the first derivative of 1/4*c**3 - 4 + 0*c**2 + 0*c - 3/20*c**w + 0*c**4. Solve q(u) = 0 for u.
-1, 0, 1
Let b(o) be the third derivative of o**7/630 - o**6/90 + o**5/30 + o**4/12 + 6*o**2. Let u(f) be the second derivative of b(f). Find z such that u(z) = 0.
1
Let z(g) be the third derivative of -g**