tor -3*c**2 - 2 - 8*c - 2*c + c**2 - 6.
-2*(c + 1)*(c + 4)
Let x = 5 + -1. Let c(g) be the first derivative of 2/3*g**3 - 2 - x*g - g**2. Suppose c(k) = 0. What is k?
-1, 2
Let l(s) be the third derivative of 2*s**7/525 + s**6/50 + 9*s**5/200 + s**4/6 + 4*s**2. Let t(w) be the second derivative of l(w). Factor t(k).
3*(4*k + 3)**2/5
Suppose -3*z - m = -14, 0 = -m + 2 + 3. Let r be -3 + 20/3 - z. Factor 2/9*d**3 + r*d - 2/9 - 2/3*d**2.
2*(d - 1)**3/9
Factor 3*z**2 + 28*z**2 + 8 - z**2 + 2*z**3 + 36*z + 5*z**3.
(z + 2)**2*(7*z + 2)
Let y(l) be the first derivative of 5*l**3/12 + 5*l**2/8 - 14. Factor y(t).
5*t*(t + 1)/4
Let r(b) be the second derivative of b**4/30 + b**3/5 + 11*b. Let r(w) = 0. Calculate w.
-3, 0
Let w = 7/4 + -13/12. Let r be (2/(-9))/((-6)/9). Factor r - w*k + 1/3*k**2.
(k - 1)**2/3
Let d(x) be the second derivative of -x**7/1050 + x**6/200 - x**5/100 + x**4/120 - 2*x**2 + x. Let w(p) be the first derivative of d(p). Solve w(i) = 0.
0, 1
Let f be 42/(-12)*1/(-7). Factor -f*j**2 + 0 + 0*j.
-j**2/2
Let u = -64 + 66. Factor 0*a**u + 0 + 1/3*a - 1/3*a**3.
-a*(a - 1)*(a + 1)/3
Let l(a) be the first derivative of -3 - 1/2*a - 1/2*a**4 + a**2 + 1/6*a**3. Factor l(d).
-(d - 1)*(d + 1)*(4*d - 1)/2
Let f(t) be the first derivative of 0*t - 1/8*t**2 - 1/6*t**3 + 1. Factor f(i).
-i*(2*i + 1)/4
Let d(n) be the first derivative of n**5/5 - n**4/2 + n**3/3 - 5. Find p such that d(p) = 0.
0, 1
Let o = -3/19 + 71/209. Factor -2/11*n + 0 + o*n**2.
2*n*(n - 1)/11
Let o = -23 - -185/8. Let d(g) be the first derivative of -o*g**2 - 1/16*g**4 - 1/6*g**3 + 0*g - 1. Factor d(i).
-i*(i + 1)**2/4
Let r = -8 - -10. Let n(c) be the third derivative of -r*c**2 + 0*c**3 - 1/12*c**4 - 1/105*c**7 + 1/60*c**6 + 0 + 0*c + 1/30*c**5. Factor n(o).
-2*o*(o - 1)**2*(o + 1)
Factor 14/3*k**2 + 8/21 - 8/3*k.
2*(7*k - 2)**2/21
Solve 2/11*i - 10/11*i**2 + 4/11*i**3 + 4/11 = 0 for i.
-1/2, 1, 2
Let t(o) be the second derivative of o**7/10080 - o**6/720 + o**5/120 - o**4/12 - 2*o. Let u(c) be the third derivative of t(c). Factor u(s).
(s - 2)**2/4
Let i(c) = -12*c**3 - 16*c**2 + 12*c + 32. Let z(q) = 8*q**3 + 11*q**2 - 8*q - 21. Let g(u) = 5*i(u) + 8*z(u). Factor g(a).
4*(a - 1)*(a + 1)*(a + 2)
Let s = 3 + -10. Let t = 11 + s. Determine w, given that 3*w**2 - w**2 + 0*w + t*w = 0.
-2, 0
Suppose -j - 3 = 0, -3*z + 5*j = 2*z - 45. Suppose -z*o**2 + 3*o**2 + 5*o**2 = 0. Calculate o.
0
Let t(b) be the second derivative of -b**6/50 + 3*b**5/100 + 3*b**4/20 - b**3/2 + 3*b**2/5 + 3*b. Factor t(q).
-3*(q - 1)**3*(q + 2)/5
Let v(s) be the first derivative of s**6/60 + 2*s**5/15 + 5*s**4/12 + 2*s**3/3 - 3*s**2/2 + 3. Let p(t) be the second derivative of v(t). Factor p(x).
2*(x + 1)**2*(x + 2)
Suppose 1 = 2*o - 7. Suppose -6*t + 30 = 5*b - 2*t, 23 = o*b + 3*t. Factor 2*n**b + n**2 - 5*n**2 + n**3 + n.
n*(n - 1)**2
Determine f so that -4/7 + 6/7*f - 2/7*f**2 = 0.
1, 2
Suppose -m - 6 = -4*c, -5*c = -0*c - 4*m - 2. Let -14/5*v + 4/5 - 14/5*v**5 + 4/5*v**4 + 28/5*v**3 - 8/5*v**c = 0. What is v?
-1, 2/7, 1
Let b(g) be the first derivative of -g**4/20 + g**3/5 - 3*g**2/10 + g/5 - 34. Let b(c) = 0. Calculate c.
1
Let k(a) = a**5 + 2*a**4 + 6*a**3. Let b(i) = -i**3. Suppose -5 = -2*f - 3*f. Let l be f*6/(-2 + -1). Let h(s) = l*k(s) - 10*b(s). Factor h(x).
-2*x**3*(x + 1)**2
Let u = -562/3 - -188. Factor 2/3*d**3 + 0 - 2/3*d - 2/3*d**4 + u*d**2.
-2*d*(d - 1)**2*(d + 1)/3
Suppose 7*i - 13*i + 3*i**2 + 0*i + 8*i + i**3 = 0. Calculate i.
-2, -1, 0
Let r(h) be the third derivative of h**8/1680 - h**7/315 + h**6/180 + h**4/3 + 2*h**2. Let z(i) be the second derivative of r(i). Suppose z(q) = 0. Calculate q.
0, 1
Factor 0 + 0*u + 2/5*u**5 + 0*u**4 - 6/5*u**3 - 4/5*u**2.
2*u**2*(u - 2)*(u + 1)**2/5
Let b be 4/2 - (-12)/(-9). Let k be (-4)/18 + (-6)/(-27). Solve 13/3*y**2 - b*y - 7*y**3 + k = 0.
0, 2/7, 1/3
Let o be (-156)/39*2/(6/(-7)). Factor -o*m**3 - 4*m + 16*m**2 - 8/3.
-4*(m - 1)**2*(7*m + 2)/3
Suppose 10 = -0*s + 2*s. Suppose s*i + 3 - 18 = 0. Find v such that 1/2*v**i + v**2 + 0 + 1/2*v = 0.
-1, 0
Suppose 0 = 4*b + 3*y - 6, -2*y + 5 = -2*b + 1. Let w = b + 4. Let v(l) = l**2 - 1. Let f(k) = 25*k**2 - k - 6. Let i(s) = w*v(s) - f(s). Factor i(o).
-(3*o - 1)*(7*o + 2)
Let j = 11 + -6. Suppose j*n = -4*n + 18. Factor 3/4*s**n + 9/2*s + 27/4.
3*(s + 3)**2/4
Suppose 0 = 6*m - 5*m - s + 1, 0 = 4*s - 16. Factor 6/5*f**2 + 2/5*f**m - 8/5 + 0*f.
2*(f - 1)*(f + 2)**2/5
Let k = 7 + -3. Suppose -2*h = -k*h. Find u, given that -1/3*u**2 + 4/3 + h*u = 0.
-2, 2
Let b(o) be the first derivative of 0*o + 3/20*o**5 + 1/6*o**3 - 7/16*o**4 + 0*o**2 - 2. Suppose b(c) = 0. What is c?
0, 1/3, 2
Let -7 - 15*z**2 - 8 - 3 - 3 + 3*z**3 - 39*z = 0. What is z?
-1, 7
Let o = -15/17 + 79/51. Find n such that -2/3 + o*n**3 - 2/3*n + 2/3*n**2 = 0.
-1, 1
Let f(t) be the third derivative of t**7/75 + t**6/25 + t**5/50 - t**4/30 - 13*t**2. Solve f(y) = 0 for y.
-1, 0, 2/7
Let z = -4 + 6. Suppose -4 = -3*f + z. Suppose 4*g**2 - 3*g**f - 2*g + 0*g**2 + 1 = 0. What is g?
1
Suppose -2*q = 6*q - 16. Factor 0 + 11/5*b**3 - 2/5*b + 4/5*b**4 + b**q.
b*(b + 1)*(b + 2)*(4*b - 1)/5
Suppose -2*r = 5*t, -5*r + 31 = t - 4*t. Suppose 0*u + r*u - 25 = 0. Let -5*k + k**2 + 5*k - k**4 + k**u - k**3 = 0. What is k?
-1, 0, 1
Suppose -3*k - d = -4, 3*k + 3 = 3*d + 15. Let c(w) be the second derivative of 1/6*w**4 - 1/10*w**5 - 1/15*w**6 + 1/3*w**3 + 0 + 0*w**2 + k*w. Factor c(t).
-2*t*(t - 1)*(t + 1)**2
Factor h**3 + 5/2*h**2 + h + 0.
h*(h + 2)*(2*h + 1)/2
Suppose -11/2*c - 121/4 - 1/4*c**2 = 0. Calculate c.
-11
Let h be (1 - -2)/(2/16). Let s = h - 17. Suppose v - s + v**3 + 6 + v**2 - 2*v**3 = 0. What is v?
-1, 1
Let r(p) be the second derivative of p**4/24 + 2*p**3/3 + 4*p**2 - 2*p. What is x in r(x) = 0?
-4
Let t be 20/(-70) - 284/(-14). Let a be 44/t + 3/(-15). What is p in -2/3*p**3 + 0 - 2*p**a - 4/3*p = 0?
-2, -1, 0
Solve 3/8 + 1/2*i + 1/8*i**2 = 0 for i.
-3, -1
Let w(d) be the first derivative of d**6/10 + 3*d**5/25 - 3*d**4/20 - d**3/5 + 14. Determine z so that w(z) = 0.
-1, 0, 1
Let u = 15 + -13. Suppose 9*i - 2*i**2 + 0*i - 16 - i + i**u = 0. What is i?
4
Let x = -2 + 13. Factor 8*i + 21*i**2 + 0*i**2 + x*i**2 - 36*i + 8 - 12*i**3.
-4*(i - 1)**2*(3*i - 2)
Factor -2/7*n**5 - 2/7*n + 0 - 8/7*n**2 - 8/7*n**4 - 12/7*n**3.
-2*n*(n + 1)**4/7
Let z(w) be the second derivative of -w**5/50 - w**4/15 - w**3/15 + 5*w. Factor z(t).
-2*t*(t + 1)**2/5
Let r(a) be the second derivative of a**4/4 + 5*a**3/2 + 6*a**2 - a. Factor r(n).
3*(n + 1)*(n + 4)
Let a(j) be the third derivative of -j**5/150 + j**4/20 - 9*j**2. Factor a(b).
-2*b*(b - 3)/5
Let o(n) be the third derivative of n**5/15 + 2*n**4/3 - 10*n**3/3 - 15*n**2. Factor o(u).
4*(u - 1)*(u + 5)
Let c = -1128/55 + 230/11. Determine x, given that -2/5*x**3 + 0*x + 4/5*x**4 - c*x**5 + 0 + 0*x**2 = 0.
0, 1
Determine l so that 1/2*l**3 - 3/10 + 11/10*l + 19/10*l**2 = 0.
-3, -1, 1/5
Let x(g) = 4*g**3 - 3*g**2 - g + 5. Let o(i) = -4*i**3 + 2*i**2 + 2*i - 6. Let j(w) = -5*o(w) - 6*x(w). Let j(l) = 0. Calculate l.
0, 1
Let z = -5 - -8. Suppose -u = -z - 0. Factor 0 - 4/3*f - 2*f**2 - 2/3*f**u.
-2*f*(f + 1)*(f + 2)/3
Let m(z) be the second derivative of z**4/102 + 4*z**3/17 + 36*z**2/17 + z - 4. Factor m(g).
2*(g + 6)**2/17
Suppose 3*w - 4 = -4*j, -j + 0*w + 12 = -2*w. Suppose -4*f + 8 = -2*s, f = j*s - 4*f + 10. Factor s*n - 2/11*n**3 + 2/11*n**2 + 0.
-2*n**2*(n - 1)/11
Let d = 1403/789 - 1/2367. Suppose 0*s**3 - d*s + 2/9*s**4 - 2/3 - 4/3*s**2 = 0. Calculate s.
-1, 3
Let f(a) be the third derivative of -a**7/210 + a**6/50 - 3*a**5/100 + a**4/60 + a**2. Solve f(b) = 0.
0, 2/5, 1
Let j = -127 + 891/7. Suppose 2/7*n**4 - j*n**3 + 0 - 2/7*n**2 + 2/7*n = 0. Calculate n.
-1, 0, 1
Let c be 2/8*2*2. Let t be (c - 2)/(9/(-18)). Find l, given that 13/2*l + 56*l**3 + 1/2 + 30*l**t + 32*l**4 = 0.
-1, -1/4
Suppose w = 2*w + 16*w. Let i(m) be the third derivative of 1/180*m**5 - 3*m**2 - 1/18*m**3 - 1/72*m**4 + 1/360*m**6 + 0 + w*m. Factor i(g).
(g - 1)*(g + 1)**2/3
Suppose 5*s = 3*c - 99, -3*c = -2*s - 13 - 32. Let k = 18 + s. Find f, given that 1/3*f**2 + 0 + k*f = 0.
0
Let l(g) = g**3 + g**2 + 1. Let w(k) = 5*k**3 + 9*k**2 + 4*k + 3. Let j(c) = -6*l(c) + 2*w(c). Factor j(h).
4*h*(h + 1)*(h + 2)
Let f(w) be t