= 0?
-1, -1/4, 0
Let b(c) be the second derivative of -3*c**5/20 - c**4/4 + c**3/2 + 3*c**2/2 + 44*c. Factor b(a).
-3*(a - 1)*(a + 1)**2
Factor 3/8*z + 3/4 - 3/8*z**2.
-3*(z - 2)*(z + 1)/8
Let w(z) be the third derivative of -z**5/20 - z**4/4 - z**3/2 - 2*z**2. Find x, given that w(x) = 0.
-1
Let u(i) be the first derivative of -2*i**6/3 - 24*i**5/5 - 13*i**4 - 16*i**3 - 8*i**2 - 4. Factor u(l).
-4*l*(l + 1)**2*(l + 2)**2
Let f(g) be the second derivative of -3*g - g**2 - 1/32*g**4 + 1/60*g**5 + 0 - 1/24*g**3. Let r(d) be the first derivative of f(d). Factor r(y).
(y - 1)*(4*y + 1)/4
Let m(z) = -3*z**5 + 6*z**4 + 12*z**3 - 12*z**2 - 12*z + 3. Let g(f) = -f**3 - 1. Let k(y) = -3*g(y) - m(y). Factor k(w).
3*w*(w - 2)**2*(w + 1)**2
Let u(v) be the third derivative of v**7/420 - v**6/240 - v**5/60 + 9*v**2. Determine z, given that u(z) = 0.
-1, 0, 2
Let r(u) = -u**3 + 2*u**2 + 3*u + 3. Let q be r(3). Let t = 0 + q. Factor 0 - 2/5*g - 2/5*g**t - 4/5*g**2.
-2*g*(g + 1)**2/5
Let g be (9/18)/((-3)/(-18)). Let j(x) be the first derivative of 0*x + 0*x**2 - 9/25*x**5 + 3/4*x**4 + 2/5*x**g - 2. Find n such that j(n) = 0.
-1/3, 0, 2
Let t(p) be the first derivative of p**3/6 + p**2/2 + 2. Suppose t(q) = 0. What is q?
-2, 0
Let m(q) be the third derivative of -q**9/30240 - q**8/3360 - q**5/60 + 4*q**2. Let h(d) be the third derivative of m(d). Factor h(g).
-2*g**2*(g + 3)
Suppose 10*n + 2 - 5 - 45*n**2 + 3 = 0. What is n?
0, 2/9
Let p(w) be the first derivative of -4*w**2 + 4/3*w**3 + 5 + 1/2*w**4 - 16*w. Determine v, given that p(v) = 0.
-2, 2
Let v(l) be the first derivative of 2/9*l**3 + 0*l - 1/4*l**4 + 0*l**2 - 3 - 1/3*l**5. What is y in v(y) = 0?
-1, 0, 2/5
Let j be 0/3 - (4 - -8). Let d = j + 25/2. What is h in 1/2*h + 0 - d*h**2 = 0?
0, 1
Let d(a) be the second derivative of -a**7/70 + a**6/25 + 3*a**5/50 - 2*a**4/5 + 7*a**3/10 - 3*a**2/5 + a. Determine x so that d(x) = 0.
-2, 1
Let z(k) be the first derivative of -6 + 3/4*k**2 + 1/2*k**3 - 3/2*k - 3/8*k**4. Suppose z(s) = 0. Calculate s.
-1, 1
Let n be 0/(-3*(-1 + 0)). Factor -h**5 + 4*h**3 - 2*h + n*h**3 - h**5.
-2*h*(h - 1)**2*(h + 1)**2
Suppose -b = 3*z + 4, 4*b + 16 = 3*z - 0*z. Factor 0 + z*w - 3/4*w**3 + 1/4*w**2 + 3/4*w**4 - 1/4*w**5.
-w**2*(w - 1)**3/4
Suppose -5*g + 25 = -2*p, 5*g = -3*p + 9 + 16. Suppose -5*j + j**2 - 2 + 6*j + p*j = 0. Calculate j.
-2, 1
Let w(y) be the third derivative of -y**7/189 + 13*y**6/60 - 761*y**5/270 + 33*y**4/4 - 242*y**3/27 + 25*y**2. Suppose w(j) = 0. Calculate j.
2/5, 1, 11
Solve 9/5 - 1/5*t**3 + 1/5*t - 9/5*t**2 = 0.
-9, -1, 1
Let v(u) = -8*u**4 - 103*u**3 - 439*u**2 - 857*u - 655. Let h(p) = -4*p**4 - 52*p**3 - 220*p**2 - 428*p - 328. Let c(t) = -7*h(t) + 4*v(t). Solve c(s) = 0.
-3
Let m(w) be the first derivative of 4*w**2 - 8*w - 2/3*w**3 + 1. Determine l so that m(l) = 0.
2
Let r(t) be the third derivative of 1/480*t**6 + 1/24*t**3 + 1/32*t**4 + 0 + 1/80*t**5 - 2*t**2 + 0*t. Factor r(a).
(a + 1)**3/4
Solve 0 + 2/5*i**2 + 4/5*i = 0.
-2, 0
Let n(a) be the second derivative of -7*a**5/30 + a**4/9 + 7*a**3/9 - 2*a**2/3 + 14*a. Factor n(p).
-2*(p - 1)*(p + 1)*(7*p - 2)/3
Let y be -3*1*(-2)/2. Let q = 72 - 69. Solve -19*c**4 - 2*c + 28*c**y - 2 + 1 + 6*c**5 - q*c**4 - 12*c**2 + 3 = 0.
-1/3, 1
Let x(j) be the first derivative of 4 + 0*j**5 - 1/4*j**2 + 0*j + 1/4*j**4 - 1/12*j**6 + 0*j**3. Factor x(g).
-g*(g - 1)**2*(g + 1)**2/2
Let u be ((-5)/4)/(-1)*-4. Let m = u - -7. Determine x so that -x + 3*x - 5*x**2 + x**m + 2*x**3 = 0.
0, 1
Let v = -26 + 31. Suppose -2/3*m**2 + 0 - 1/3*m**v + 1/3*m + 0*m**3 + 2/3*m**4 = 0. What is m?
-1, 0, 1
Let g(l) = l**3 + 17*l**2 + 9*l - 17. Let z(i) = -8*i**2 - 4*i + 8. Let y(c) = 4*g(c) + 10*z(c). Factor y(q).
4*(q - 3)*(q - 1)*(q + 1)
Let u(b) be the second derivative of -b**7/1155 + b**5/165 - b**3/33 + b**2/2 + 3*b. Let z(x) be the first derivative of u(x). Determine o, given that z(o) = 0.
-1, 1
Factor 2 - j**2 - 7/3*j.
-(j + 3)*(3*j - 2)/3
Let x(a) be the third derivative of -1/21*a**3 + 0 - 1/140*a**6 - 4*a**2 + 1/28*a**4 + 0*a + 1/210*a**5. Factor x(b).
-2*(b - 1)*(b + 1)*(3*b - 1)/7
Factor 0 + 3/2*o**2 + 3/2*o.
3*o*(o + 1)/2
Let y = 1/137 - -815/959. Factor 2/7*q**5 - y*q**4 + 6/7*q**3 + 0 + 0*q - 2/7*q**2.
2*q**2*(q - 1)**3/7
Let j(v) be the first derivative of 0*v**4 + 2 + 0*v**2 - 1/80*v**5 + 1/24*v**3 + 2*v. Let g(t) be the first derivative of j(t). Determine l so that g(l) = 0.
-1, 0, 1
Let n(v) be the first derivative of v**7/420 - v**6/90 + v**5/60 - 2*v**3/3 + 2. Let t(u) be the third derivative of n(u). Solve t(b) = 0.
0, 1
Let w = 18 + -16. Let y(t) be the second derivative of -1/10*t**5 - 1/7*t**7 + 0*t**2 + w*t + 0*t**4 + 0 + 0*t**3 - 4/15*t**6. Solve y(r) = 0.
-1, -1/3, 0
Let d(q) be the second derivative of q**9/9072 - q**8/1260 + q**7/504 - q**6/540 + 7*q**3/6 - 5*q. Let c(w) be the second derivative of d(w). Solve c(b) = 0.
0, 1, 2
Let x(z) = 7*z**4 + 11*z**3 - 9*z**2 - 3*z. Let m(y) = 8*y**4 + 12*y**3 - 8*y**2 - 4*y. Let k(d) = 5*m(d) - 4*x(d). Factor k(f).
4*f*(f + 1)**2*(3*f - 2)
Let q(p) be the first derivative of -3*p**5/40 - 15*p**4/32 - 9*p**3/8 - 21*p**2/16 - 3*p/4 + 12. Factor q(l).
-3*(l + 1)**3*(l + 2)/8
Factor -9/2*y**3 + 3/2*y**4 + 0 + 9/2*y**2 - 3/2*y.
3*y*(y - 1)**3/2
Let x(v) be the first derivative of -3*v**6/10 + 7*v**5/20 + 11*v**4/12 - 7*v**3/6 - v**2 + 6*v + 6. Let k(m) be the first derivative of x(m). Factor k(i).
-(i - 1)**2*(i + 1)*(9*i + 2)
Suppose 12 = -6*s + 24. Let r(u) be the second derivative of 0*u**s - 3*u + 0 + 1/24*u**4 + 1/20*u**5 - 1/12*u**3. Factor r(d).
d*(d + 1)*(2*d - 1)/2
Let f = -8 + 8. Factor f*l**5 + 7*l**5 + 4*l**3 - 14*l**4 + 2*l**2 + l**5.
2*l**2*(l - 1)**2*(4*l + 1)
Let h(x) be the third derivative of -25*x**8/56 + 3*x**7/2 - 13*x**6/10 - x**5/2 + 3*x**4/4 + x**3/2 - 22*x**2 + x. What is o in h(o) = 0?
-1/5, 1/2, 1
Let y(c) = c**2 - 3. Let n(z) = z**2 - z - 1. Let d(t) = 6*n(t) - 3*y(t). Suppose d(o) = 0. What is o?
1
Let u(y) be the third derivative of y**8/112 - y**7/70 - y**6/40 + y**5/20 - 2*y**2. Let u(n) = 0. What is n?
-1, 0, 1
Factor -2/13*w**2 - 6/13*w + 20/13.
-2*(w - 2)*(w + 5)/13
Let j be -8*((-44)/(-16) - 1). Let d = 14 + j. Let 1/4 - 1/4*n**2 + d*n = 0. Calculate n.
-1, 1
Let f(z) be the second derivative of 0 + 0*z**3 + 0*z**5 - 3*z + 0*z**4 - 1/105*z**6 + 0*z**2. Factor f(b).
-2*b**4/7
Let k(x) be the second derivative of -x**7/7560 + x**6/1080 - x**5/360 - x**4/4 + 2*x. Let w(f) be the third derivative of k(f). Suppose w(s) = 0. Calculate s.
1
Let p(b) be the first derivative of b**6/48 + b**5/20 - b**4/16 - b**3/3 - 7*b**2/16 - b/4 + 42. Let p(r) = 0. Calculate r.
-1, 2
Let g(z) = z**2 + 8*z + 9. Let w(k) = -k**3 - 5*k**2 - k + 5. Let i be w(-4). Let b be g(i). Factor 2/9*s + 0 + 2/9*s**b.
2*s*(s + 1)/9
Let u(g) be the second derivative of -g**7/7560 - g**6/1080 - g**5/360 + g**4/2 - 7*g. Let j(c) be the third derivative of u(c). Factor j(i).
-(i + 1)**2/3
Suppose -2*c - 5 = -3, -4*i = 2*c - 14. Factor 2*p**i + 11*p**5 - p**2 - 10*p**5 - p**4 - p**3.
p**2*(p - 1)*(p + 1)**2
Let k(g) be the second derivative of -g**6/45 + g**5/30 + g**4/18 - g**3/9 - 17*g. Let k(z) = 0. What is z?
-1, 0, 1
Factor 3*q - 3*q**4 + 3*q**2 - 7*q**3 + 2*q**3 + 12*q**4 - 10*q**3.
3*q*(q - 1)**2*(3*q + 1)
Let y be (-21)/(-9)*(-24)/(-84). Let y*h**4 - 2*h - 4/3 + 2/3*h**2 + 2*h**3 = 0. What is h?
-2, -1, 1
Let j(n) = n**3 + 12*n**2 + 10*n + 2. Let q(m) = m**3 + 24*m**2 + 19*m + 5. Let r(i) = 5*j(i) - 2*q(i). Solve r(d) = 0.
-2, 0
Let o = -27 + 30. Let p(q) be the first derivative of 0*q - 1/2*q**o + 3/10*q**5 + 3/4*q**4 - 3/2*q**2 - 3. Determine c, given that p(c) = 0.
-2, -1, 0, 1
Let g be (13 - 12)*(-18)/(-14). Factor g*h**2 - 6/7*h - 3/7.
3*(h - 1)*(3*h + 1)/7
Let c be (2/(-12))/(3 + -4)*2. Let g - g**3 - 2/3 + c*g**4 + 1/3*g**2 = 0. What is g?
-1, 1, 2
Let a(l) be the third derivative of l**6/30 - l**4/2 - 4*l**3/3 + 7*l**2. Let a(y) = 0. Calculate y.
-1, 2
Let p(v) be the third derivative of 3*v**5/25 - 11*v**4/30 + 4*v**3/15 + 2*v**2. Factor p(a).
4*(a - 1)*(9*a - 2)/5
Let g(t) be the third derivative of -t**5/510 + 27*t**2. Solve g(p) = 0.
0
Let c(a) = -a**2 + 3*a + 18. Let i be c(6). Factor i + 0*u**3 - 2/3*u**2 + 2/3*u**4 + 0*u.
2*u**2*(u - 1)*(u + 1