)**3*(2*l + 1)
Factor -9/2*i**2 + 9/2*i - 1 - 1/2*i**3 + 3/2*i**4.
(i - 1)**2*(i + 2)*(3*i - 1)/2
Let o(f) be the first derivative of -f**4/18 + f**2/3 - 4*f/9 - 2. Solve o(u) = 0 for u.
-2, 1
Suppose 8/5*o - 2/3*o**2 - 8/15 = 0. Calculate o.
2/5, 2
Let n be 26/(-54) + 1 + -1. Let z = 227/135 + n. Factor 2*s - z*s**2 - 4/5.
-2*(s - 1)*(3*s - 2)/5
Suppose 4*i + 2 = 14. Let n = i - 0. Suppose 6 - n*m**3 - 3*m**2 - 6 = 0. What is m?
-1, 0
Let k = 21 + -14. Suppose -3*t + k = -2. Suppose -4*f**5 - 4*f**t + 6*f**5 + 2*f**3 = 0. What is f?
-1, 0, 1
Let z(t) be the third derivative of -1/120*t**6 + 0*t + 0 + 1/24*t**4 + 0*t**3 + 0*t**5 - 5*t**2. Factor z(c).
-c*(c - 1)*(c + 1)
Let j be -3 - ((-102)/(-15))/(-2). Solve -8/5*x**3 + 8/5*x - 8/5 + 6/5*x**2 + j*x**4 = 0 for x.
-1, 1, 2
Let g = 331/4 - 82. Factor 1 - p + p**3 - 1/4*p**4 - g*p**2.
-(p - 2)**2*(p - 1)*(p + 1)/4
Let o = -1 - 0. Let i(x) = x**2 - 4*x - 5. Let q(y) = y**2 - 1. Let v(c) = o*i(c) + 5*q(c). Suppose v(j) = 0. Calculate j.
-1, 0
Let c(y) be the third derivative of 2/5*y**5 + 0*y + 0*y**3 + 1/8*y**6 + 1/2*y**4 + 3*y**2 + 1/70*y**7 + 0. Suppose c(i) = 0. What is i?
-2, -1, 0
Suppose -5 + g**3 + 6 - g + g**2 - 2*g**2 = 0. What is g?
-1, 1
Suppose -k = -3*m - 2*m - 20, 5*k = -m + 22. Suppose 3*x - q + 2 = -3, -2*x + k*q = 25. Factor x + 2/3*f**3 + 0*f + 2/3*f**2.
2*f**2*(f + 1)/3
Let d(k) = k**2 - k + 1. Let o be d(2). Let b = 26 - 16. Factor 6*z**o - 2 + b*z**2 - 4*z + 0 + 6*z.
2*(z + 1)**2*(3*z - 1)
Let c = -47 - -146/3. Solve 4/3*h**3 + c*h**2 + 1/3*h**4 + 0 + 2/3*h = 0.
-2, -1, 0
Let w(k) be the second derivative of k**7/840 - k**6/60 - 5*k**4/12 - 11*k. Let f(c) be the third derivative of w(c). Factor f(s).
3*s*(s - 4)
Let y(c) = -7*c**4 + 6*c**3 + 21*c**2 + 12*c + 4. Let u(a) = -15*a**4 + 12*a**3 + 42*a**2 + 24*a + 9. Let z(k) = -4*u(k) + 9*y(k). Factor z(d).
-3*d*(d - 4)*(d + 1)**2
Solve -5/4*h**2 + 15/4*h - 5/2 = 0.
1, 2
Let m = 2/8683 + 251747/260490. Let v = m + -3/10. Factor -v - 1/3*q**2 - q.
-(q + 1)*(q + 2)/3
Let q(f) be the first derivative of -1/6*f**3 + 5 + 0*f + 1/2*f**2. Factor q(b).
-b*(b - 2)/2
Let j(b) be the first derivative of -4*b**3 - 8*b**2 + 16*b + 8. Suppose j(y) = 0. What is y?
-2, 2/3
Let k = 10 - 10. Suppose k + 2/11*q**2 + 2/11*q = 0. Calculate q.
-1, 0
Let l(f) be the third derivative of -2*f**2 + 0*f**3 + 1/240*f**5 - 1/840*f**7 + 0*f**4 + 0 + 0*f + 0*f**6. Solve l(z) = 0.
-1, 0, 1
Let f(y) = 4*y**2 + 56*y + 72. Let u(s) = -s**2 - 19*s - 24. Let h(d) = 3*f(d) + 10*u(d). Suppose h(b) = 0. Calculate b.
-1, 12
Let h(k) be the first derivative of -2/15*k**3 - 4 + 2/5*k + 0*k**2. Factor h(y).
-2*(y - 1)*(y + 1)/5
Let q(l) = l**3 - 5*l**2 + 6*l - 6. Let c(i) = i + 13. Let o be c(-9). Let x be q(o). Factor -2*k**x + 0*k**2 - k - k.
-2*k*(k + 1)
Let y(l) = -l**5 + 12*l**4 + 19*l**3 + 6*l**2. Let c(x) = x**5 - x**3. Let k = -5 + 6. Let p(j) = k*y(j) + 4*c(j). Suppose p(g) = 0. What is g?
-2, -1, 0
Let y(x) be the first derivative of -x**4 + 3 + 2*x**2 + 0*x**3 + 2*x - 2/5*x**5. Factor y(f).
-2*(f - 1)*(f + 1)**3
Suppose -3*j + j = -2*x - 14, -3*x = 2*j + 11. Let t(p) = -p**2 + 1. Let h(n) = -4*n**2 - n + 3. Let u(g) = j*t(g) - h(g). Solve u(q) = 0 for q.
-1, 1/2
Suppose t - u - 1 = 4, 2*u = -2*t + 10. Solve -5/4*k**t + 0 + 11/4*k**2 + 17/4*k**4 - 1/2*k - 21/4*k**3 = 0 for k.
0, 2/5, 1
Let n = 71/5 + -487/35. Suppose 0*t + 5 = -2*i - 3*t, -5*t = 3*i + 9. Solve 0 - 4/7*y**i + n*y**3 + 2/7*y = 0 for y.
0, 1
Let v be (-1)/(-24)*(7 - 5). Let m(h) be the first derivative of -v*h**4 - 1/9*h**3 - 3 + 0*h**2 + 0*h. Factor m(p).
-p**2*(p + 1)/3
Let q(i) be the first derivative of i**5/15 - i**4/18 - i**3/3 + 2*i**2/3 - 4*i/9 + 3. Let q(n) = 0. Calculate n.
-2, 2/3, 1
Let v(x) be the third derivative of x**6/120 + x**5/60 - x**4/24 - x**3/6 - x**2 + 2*x. Factor v(u).
(u - 1)*(u + 1)**2
Let p be -4*(-1 - 32/(-36)). Factor 0*x**3 - p*x**2 - 2/9*x**5 + 2/9*x + 0 + 4/9*x**4.
-2*x*(x - 1)**3*(x + 1)/9
Let h(u) be the third derivative of 0*u**6 - 1/6*u**3 + 1/30*u**5 + 0*u**4 + 0*u + 0 - 1/210*u**7 - 4*u**2. Find b such that h(b) = 0.
-1, 1
Let a(w) be the third derivative of w**9/6048 + w**8/3360 - w**7/1680 - w**6/720 + 2*w**3/3 + 5*w**2. Let i(p) be the first derivative of a(p). Factor i(b).
b**2*(b - 1)*(b + 1)**2/2
Factor -4*m**2 - 24*m**2 + 128 - 4*m**3 + 4*m**2.
-4*(m - 2)*(m + 4)**2
Suppose 2*c = -0 + 2. Suppose 5*o = -4*j + 17, -5 = -j - o - 1. Factor -j - b + b**3 + c + b**2 + 1.
(b - 1)*(b + 1)**2
Let f(w) be the first derivative of -2*w**5/5 - w**4 + 14. Suppose f(c) = 0. What is c?
-2, 0
Suppose 0*f + 12 = 4*f. Factor 3*a - 5*a + f*a - a**3 - 1 + 0 + a**2.
-(a - 1)**2*(a + 1)
Let q = 43/78 + -5/13. Let c = 78 - 78. Solve -q*w**3 - 1/6*w**5 + 0 + c*w + 0*w**2 - 1/3*w**4 = 0 for w.
-1, 0
Let g = -347 - -347. Solve g + h**2 - 1/2*h**3 - 1/2*h = 0 for h.
0, 1
Let n(q) be the first derivative of -q**7/21 + 2*q**6/15 - q**5/10 - 2*q - 2. Let d(v) be the first derivative of n(v). Suppose d(g) = 0. What is g?
0, 1
Let s = 14/3 + -25/6. Factor -l + s*l**3 + 0 + 1/2*l**2.
l*(l - 1)*(l + 2)/2
Solve 0*k**2 - 2*k**3 + 0 + 0*k - 1/2*k**5 + 2*k**4 = 0 for k.
0, 2
Factor 0 - 10/11*i**3 + 8/11*i - 2/11*i**2.
-2*i*(i + 1)*(5*i - 4)/11
Let h(z) be the third derivative of -z**5/20 + 3*z**4/4 - 5*z**3/2 - 25*z**2. Factor h(a).
-3*(a - 5)*(a - 1)
Let w(g) be the second derivative of g**6/195 + g**5/130 - 4*g. Suppose w(o) = 0. What is o?
-1, 0
Let l = 222 + -665/3. What is h in -1/3*h**2 + l + 0*h = 0?
-1, 1
Let n(v) = 59*v**2 + 32*v + 9. Let g(y) = 29*y**2 + 16*y + 5. Let q(c) = 5*g(c) - 3*n(c). Factor q(x).
-2*(4*x + 1)**2
Suppose -1 = 5*t - h, 3*h - h = 3*t + 2. Let b(z) be the second derivative of t*z**3 + 3*z - 2*z**2 - 1/20*z**5 + 1/4*z**4 + 0. Factor b(l).
-(l - 2)**2*(l + 1)
Let n(a) be the second derivative of a**5/80 + a**4/48 - a**3/24 - a**2/8 + 7*a. Factor n(r).
(r - 1)*(r + 1)**2/4
Let f(r) be the third derivative of -r**8/2800 - r**7/700 - r**6/600 - r**3/6 + 3*r**2. Let p(y) be the first derivative of f(y). Factor p(i).
-3*i**2*(i + 1)**2/5
Let l be (-1)/(-6)*(-207)/6 + 6. Factor -1/2*b + l*b**2 + 0.
b*(b - 2)/4
Let u(x) be the second derivative of x**6/12 + x**5/8 - 5*x**4/12 - 4*x. Factor u(n).
5*n**2*(n - 1)*(n + 2)/2
Suppose -2*p = 3*x - 13, -4 = -4*p + x + 1. Let y(n) be the third derivative of 0*n - 1/84*n**4 + 0 + 0*n**3 - 2*n**p - 1/210*n**5. Solve y(w) = 0 for w.
-1, 0
Let y = 31 - 15. Suppose y = c + c. Solve 5*m + m**3 + 3*m**2 + 9 - c - 2*m + 0*m**3 = 0.
-1
Let y(b) be the third derivative of 0*b - 1/1176*b**8 + 3*b**2 - 2/735*b**7 + 0*b**3 + 0*b**5 + 0*b**6 + 0*b**4 + 0. What is i in y(i) = 0?
-2, 0
Let a(c) = -2*c**3. Let u(o) = 38*o**3 - 12*o**2 + 24*o - 16. Let t(p) = 36*a(p) + 2*u(p). Determine z so that t(z) = 0.
2
Let -2*a + 5*a - 3*a**3 + 9 - 28*a**2 + 19*a**2 = 0. Calculate a.
-3, -1, 1
Let i = 52 - 37. What is g in 3*g**3 + 2*g - 5*g**3 - i + 15 = 0?
-1, 0, 1
Let w(y) = -7*y**2 + 25*y - 55. Let m(d) = -3*d**2 + 12*d - 27. Let p(r) = -15*m(r) + 6*w(r). Solve p(i) = 0.
5
Let d = -100 + 1201/12. Let h(j) be the second derivative of 0*j**2 + 2*j + 1/3*j**3 - d*j**4 + 0. Let h(k) = 0. What is k?
0, 2
Let q(j) be the first derivative of 33*j**4/10 - 2*j**3/3 - 2*j**2/5 - 22. What is r in q(r) = 0?
-2/11, 0, 1/3
Let z(l) be the third derivative of -3/2*l**4 + 0 + 0*l + 2/15*l**5 + 3/10*l**6 - 5*l**2 - 4/3*l**3. Find w such that z(w) = 0.
-1, -2/9, 1
Let v = 19 - 8. Let f = v + -11. What is z in 0 + f*z + 2/7*z**3 - 2/7*z**2 = 0?
0, 1
Factor 5 + m - 1 + 0*m**2 - 6 + m**2.
(m - 1)*(m + 2)
Let f(z) = z + 10. Suppose 0 = -5*g + 3*c - 38, -g + 0*g + 2 = -3*c. Let m be f(g). Factor 2/7*a**3 + 0 + m*a - 4/7*a**4 + 0*a**2.
-2*a**3*(2*a - 1)/7
Let r(v) = v**3 + v + 1. Let d(g) = g**3 - 2*g**2 + g + 2. Let i(q) = q**2 + 4*q - 1. Let h be i(-4). Let c(p) = h*d(p) + 2*r(p). Factor c(n).
n*(n + 1)**2
What is v in 3 + 5*v**4 - 3/2*v**5 + 1/2*v + v**3 - 8*v**2 = 0?
-1, -2/3, 1, 3
Let g(r) = 2*r**3 - 7*r**2 - 2*r - 7. Let d(o) = o**3 - 3*o**2 - o - 3. Let f = -5 + 8. Let c(v) = f*g(v) - 7*d(v). Factor c(p).
-p*(p - 1)*(p + 1)
Let x be (-3 - -1) + -1 - -11. Let o = x - 6. Find b such that 2*b**5 - 4*b**4 - b**2 + 3*b**2 - 2*b + 2*b**o = 0.
-1, 0, 1
Let t be (6/(-9))/((