-2/7*f**4 + 0 + 0*f + 0*f**2 - 4/7*f**3 = 0 for f.
-2, 0
Let n be (5 - 4)/(1/2). Let r be (-4)/22 + (-24)/(-132). Find x such that 0 + 0*x**n + 1/4*x**5 + r*x**4 - 1/2*x**3 + 1/4*x = 0.
-1, 0, 1
Suppose 2*t - 5*t = -12. Let f(x) be the second derivative of 1/3*x**3 - 1/6*x**t - x + 0 - 1/4*x**2. Find l, given that f(l) = 0.
1/2
Let t = 631 + -623. What is k in 0 + 32*k**2 - t*k**3 - 128/3*k + 2/3*k**4 = 0?
0, 4
Let b(y) be the second derivative of -y**5/4 + y**3/6 + y**2 + 6*y. Let k(o) = 36*o**3 - 6*o - 15. Let w(z) = -15*b(z) - 2*k(z). Factor w(x).
3*x*(x - 1)*(x + 1)
Let q(v) be the second derivative of 0*v**3 - 1/6*v**4 - 3*v + 0 + v**2. Determine l so that q(l) = 0.
-1, 1
Let a = -2058 - -4241/2. Let d = 65 - a. Let -d*w**2 + 4*w + 2 = 0. Calculate w.
-2/5, 2
Let a(r) = -5*r**4 + 6*r**3 - 7*r**2 - 6*r. Let b = -2 + 8. Let j(n) = -6*n**4 + 7*n**3 - 8*n**2 - 7*n. Let d(z) = b*j(z) - 7*a(z). Factor d(s).
-s**2*(s - 1)*(s + 1)
Let j = -2123/4 - -531. Determine x so that 0 - j*x**2 + 5/4*x**3 - 1/4*x - 3/4*x**4 = 0.
-1/3, 0, 1
Factor 4/7 + 1/7*k**2 - 4/7*k.
(k - 2)**2/7
Solve 0*r**2 + 3 - 12*r - 1 + 4*r**2 + 6 = 0 for r.
1, 2
Let b(m) = 5*m**3 - 16*m + 11. Let k(t) = t**3 - 3*t + 2. Let y(c) = -2*b(c) + 11*k(c). Factor y(z).
z*(z - 1)*(z + 1)
Factor 5/4*m**2 + 1/4*m**3 + 3/4*m - 9/4.
(m - 1)*(m + 3)**2/4
Let o(r) = -r**2 + 11*r - 13. Let z be o(10). Let k be z*12/(-9) - 0. Find f, given that -k*f**3 - 8*f - 26/3*f**2 - 8/3 - 2/3*f**4 = 0.
-2, -1
Let t(l) be the third derivative of -l**7/1155 + l**6/660 + l**5/110 - l**4/132 - 2*l**3/33 - 11*l**2. Solve t(q) = 0.
-1, 1, 2
Let a(h) = 84*h**3 - 32*h**2 + 32*h + 32. Let p(c) = -13*c**3 + 5*c**2 - 5*c - 5. Let l(y) = -5*a(y) - 32*p(y). Let l(x) = 0. What is x?
0
Let v(q) = -q + 10. Let x be v(8). Let l = x + 2. Factor 15*b**4 + 5*b**3 + 8*b**2 - 13*b**l - 13*b**3.
2*b**2*(b - 2)**2
Suppose 0 = -2*y + 4*r + 16, y = 3*y + r - 1. Factor -2*p - 4*p - 4 + 1 - 3*p**y.
-3*(p + 1)**2
Factor 4/3*p**3 - 2/3*p**4 + 4/3*p**2 - 2/3 - 2/3*p**5 - 2/3*p.
-2*(p - 1)**2*(p + 1)**3/3
Let c(y) be the first derivative of y**6/3 + 4*y**5/5 + y**4/2 + 15. Solve c(m) = 0 for m.
-1, 0
Let b(o) be the third derivative of -1/6*o**3 + 0 - 1/24*o**4 - 4*o**2 - 1/720*o**6 + 0*o + 1/80*o**5. Let n(a) be the first derivative of b(a). Factor n(x).
-(x - 2)*(x - 1)/2
Solve -3/4*f**2 + 0 + 3/4*f = 0 for f.
0, 1
Let d(g) = -4 - 2*g + 7*g**2 + 5 + 0*g. Let r be d(1). Factor h + 4*h**3 + 2*h**5 - h**5 - r*h**3.
h*(h - 1)**2*(h + 1)**2
Let p = 113/4 - 28. Factor 0*g + 1/4*g**2 - p.
(g - 1)*(g + 1)/4
Let d(q) be the second derivative of q**5/15 - 4*q**4/3 + 32*q**3/3 - q**2 - 10*q. Let v(t) be the first derivative of d(t). Factor v(l).
4*(l - 4)**2
Suppose 5*n - t + 0*t + 13 = 0, -4*n - 17 = -3*t. Let l(k) = -6*k**3 - 5*k**2 + k. Let s(x) = -x**3 - x**2. Let h(v) = n*l(v) + 10*s(v). Factor h(b).
2*b*(b - 1)*(b + 1)
Suppose 5 = -3*x + 8*x. Let 4*l**4 + 5 + 12*l - 2*l**5 - 8*l**2 - 14*l - x + 4*l**3 = 0. Calculate l.
-1, 1, 2
Let g(l) be the first derivative of 2*l**6/3 - 17*l**5/5 + 7*l**4 - 22*l**3/3 + 4*l**2 - l + 1. Factor g(f).
(f - 1)**4*(4*f - 1)
Let q be 2/7 + 3/112. Let o(n) be the third derivative of -7/30*n**5 - n**2 + 0 - 1/6*n**3 + q*n**4 + 0*n. Let o(g) = 0. Calculate g.
1/4, 2/7
Factor -5*t**2 - 2*t**4 - 27*t**2 - 34*t**3 + 18*t**3.
-2*t**2*(t + 4)**2
Let a(q) = 9*q**3 + q**2 - 20*q - 1. Let y(o) = -2*o**3 + 4*o. Let n(l) = 2*a(l) + 11*y(l). Solve n(z) = 0 for z.
-1, 1/2, 1
Let g(s) = 5*s**3 + 11*s**2 + 3*s + 3. Let a(u) = -u**3 - u**2 - u - 1. Let j(h) = -6*a(h) - 2*g(h). Determine d, given that j(d) = 0.
-4, 0
Suppose 12 = 4*g + 4*n, 3*n = -1 - 2. Suppose -g*w**4 + 3 + w - 3 + 15*w**3 - 5*w - 12*w**2 = 0. What is w?
-1/4, 0, 2
Factor -1 - 1/4*g**2 + 5/4*g.
-(g - 4)*(g - 1)/4
Let v(y) be the first derivative of -3*y**4/4 - 3*y**3 - 9*y**2/2 - 3*y - 16. Suppose v(g) = 0. Calculate g.
-1
Let i = -2 - -10. Let d(l) = 4*l**2 + 3*l + 12. Let c(g) = -11*g**2 - 10*g - 35. Let s(q) = i*d(q) + 3*c(q). Factor s(f).
-(f + 3)**2
Let a(s) = -s**3 + 9*s**2 + 23*s - 9. Let g be a(11). Factor -4*y + 3/2 - 3/2*y**g.
-(y + 3)*(3*y - 1)/2
Let 1/3*r**4 + 1/3*r**3 + 0 - 1/3*r - 1/3*r**2 = 0. What is r?
-1, 0, 1
Determine y, given that -3*y**3 + 3*y - 96 + 96 = 0.
-1, 0, 1
Let f = -19 + 15. Let p(q) = 21*q**3 + 29*q**2. Let v(z) = -z + 1. Let j = -3 + 4. Let g(r) = f*v(r) + j*p(r). Suppose g(x) = 0. Calculate x.
-1, -2/3, 2/7
Let g(l) = 47*l**2 + 30*l - 12. Let t(o) = -24*o**2 - 15*o + 6. Let b(n) = 3*g(n) + 5*t(n). Determine r so that b(r) = 0.
-1, 2/7
Let c = -16/101 + 181/505. Factor c*f - 2/5*f**2 + 1/5*f**3 + 0.
f*(f - 1)**2/5
Let j(y) be the third derivative of -y**8/1008 + y**7/210 - y**6/120 + y**5/180 + 4*y**2. Let j(m) = 0. What is m?
0, 1
Let u(j) = -135*j**3 - 173*j**2 + 240*j + 52. Let d(v) = 45*v**3 + 58*v**2 - 80*v - 17. Let c(w) = -8*d(w) - 3*u(w). Solve c(a) = 0.
-2, -2/9, 1
Let l = -78 - -78. Solve -1/2*s**3 + 0*s + l - s**2 = 0.
-2, 0
Factor 25*i**2 - 4*i**2 - 6*i**2 - 4*i**3 - 11*i**2.
-4*i**2*(i - 1)
Let m = 89 + -89. Let y(z) be the third derivative of -4*z**2 + 0*z**3 + 0*z + 0*z**4 + 0 + 1/300*z**6 + 1/525*z**7 + m*z**5. Factor y(w).
2*w**3*(w + 1)/5
Let r be 45/(-10) + (-1)/2. Let q(v) = 12*v**3 - 31*v**2 + 19*v. Let u(i) = -8*i**3 + 21*i**2 - 13*i. Let b(g) = r*q(g) - 7*u(g). Factor b(t).
-4*t*(t - 1)**2
Let o(v) be the first derivative of 1/3*v**3 + 0*v + 1/2*v**2 + 8 - 1/4*v**4 - 1/5*v**5. Factor o(m).
-m*(m - 1)*(m + 1)**2
Let m be ((-2)/(-7))/(7/49). Suppose 0*k**m + 2/7*k**3 - 2/7*k + 0 = 0. What is k?
-1, 0, 1
Let j(u) be the third derivative of -u**7/35 + u**6/60 + 5*u**5/3 + 23*u**4/3 + 40*u**3/3 + u**2. Solve j(q) = 0.
-2, -2/3, 5
Let f(o) be the first derivative of -5*o**4/4 + 15*o**2/2 + 10*o - 14. Solve f(m) = 0.
-1, 2
Suppose 2*n = 5*h + 7, 3*h - 17 = 3*n + h. Let g = n + 12. Find l such that 1/3 - 2/3*l**2 + 0*l + 0*l**g + 1/3*l**4 = 0.
-1, 1
Suppose 2*w + 2*h + 0*h + 8 = 0, 0 = -2*w + 2*h + 12. Let s(g) be the first derivative of w - g**2 + g - 5/12*g**3. Solve s(f) = 0.
-2, 2/5
Let t = 25/88 + -7/44. Factor 1/8*x**2 - t*x**4 - 1/8*x**3 + 0*x + 1/8*x**5 + 0.
x**2*(x - 1)**2*(x + 1)/8
Let r(p) be the third derivative of p**8/10080 - p**5/30 + p**2. Let c(d) be the third derivative of r(d). Find m such that c(m) = 0.
0
Let c(x) be the second derivative of -1/7*x**3 - 1/42*x**4 + 0 - 2/7*x**2 - x. Solve c(z) = 0.
-2, -1
Let u(j) be the third derivative of 4*j**5/15 + j**4/2 - 2*j**3/3 - 36*j**2. Find x, given that u(x) = 0.
-1, 1/4
Let s(a) = -23*a**2 - 12*a + 8. Let y(c) = 23*c**2 + 11*c - 7. Let p(h) = -6*s(h) - 7*y(h). Let u(i) = 8*i**2 + 2*i. Let t(g) = -6*p(g) - 17*u(g). Factor t(d).
2*(d - 3)*(d + 1)
Suppose -4*c - 2*r + 6 = -8, 2 = 2*r. Factor 1/3*z**2 + 0 - 1/3*z - 1/3*z**4 + 1/3*z**c.
-z*(z - 1)**2*(z + 1)/3
Let s(o) be the first derivative of 9*o**4 + 136*o**3/3 + 56*o**2 - 32*o + 9. Determine k so that s(k) = 0.
-2, 2/9
Let b(q) be the second derivative of q**2/2 - q. Let n(k) = -4*k**2 - 4*k - 4. Let a(g) = 3*b(g) + n(g). Let a(y) = 0. What is y?
-1/2
Let w(z) be the second derivative of -z**7/12600 + z**6/1800 + z**4/6 + z. Let d(b) be the third derivative of w(b). Factor d(n).
-n*(n - 2)/5
Let r(m) = m**3 - 3*m**2 + 4*m. Let s be r(3). Let b be 90/s*(-2)/(-3). Factor 5*i**3 - i**b - 2*i**2 + 4*i**5 - 2*i**3 - 4*i**5.
-i**2*(i - 1)**2*(i + 2)
Suppose -4*n = -z - 5*n + 7, 0 = 2*z + 3*n - 17. Factor z*g**2 - 3*g**3 - 3*g**2 - g**3 + 2*g - 3*g**4.
-g*(g + 1)**2*(3*g - 2)
Let w = 5 - 23/5. Let y = 22/5 - 4. Factor 0 + y*p**2 + w*p.
2*p*(p + 1)/5
Determine y, given that 14/19*y + 8/19*y**2 - 4/19 - 28/19*y**3 - 4/19*y**4 + 14/19*y**5 = 0.
-1, 2/7, 1
Let l(n) be the second derivative of n**5/80 + n**4/48 + 3*n. Find d, given that l(d) = 0.
-1, 0
Let t(m) be the second derivative of m**6/36 - 13*m**5/120 + m**4/18 + m**3/9 + 2*m. Factor t(h).
h*(h - 2)*(h - 1)*(5*h + 2)/6
Let u(f) be the second derivative of -f**8/840 + f**7/105 - f**6/60 - f**5/15 + f**4/3 + 2*f**3/3 + f. Let m(b) be the second derivative of u(b). Factor m(q).
-2*(q - 2)**2*(q - 1)*(q + 1)
Let n(l) = l. Let m(q) = 4*q**4 + 16*q**3 + 20*q**2. Let f(o) = m(o) + 8*n(o). Solve f(w) = 0 for w.
-2, -1, 0
Let w(q) be the first derivativ