4/24 - 3*z**2. Let c(y) be the second derivative of x(y). Factor c(m).
2*m**2*(m - 1)**2*(m + 2)
Let g(f) = -2 + 0*f + f + f. Let w(d) = -d**2 - d + 1. Let q(v) = -g(v) - 2*w(v). Let q(n) = 0. Calculate n.
0
Let b(c) = c**2 + 3*c + 32. Let n(p) = 6*p**2 + 15*p + 159. Let d(y) = 21*b(y) - 4*n(y). Factor d(x).
-3*(x - 4)*(x + 3)
Let v(z) = z**5 - z**4 - z**3 - z**2. Let g(q) = q**5 - 3*q**4 - q**3 - 3*q**2. Let n(u) = g(u) - 3*v(u). Determine r, given that n(r) = 0.
-1, 0, 1
Let g = 18 + -16. Factor 3*t**2 - 6*t**3 + 0*t**4 - 5*t**g + 6*t**2 + 2*t**4.
2*t**2*(t - 2)*(t - 1)
Let k(g) be the third derivative of g**5/30 + g**4/4 + 11*g**2. Factor k(j).
2*j*(j + 3)
Let v(g) = 16*g**3 + 18*g**2 + 2*g. Let b = 7 - 4. Suppose 2*d - 3*d - b = 0. Let i(c) = 5*c**3 + 6*c**2 + c. Let o(z) = d*v(z) + 10*i(z). Factor o(k).
2*k*(k + 1)*(k + 2)
Suppose -3*i + 3*f + 20 - 5 = 0, 2*i - 5*f - 19 = 0. Let -b**i + 20 - 4*b - b**2 - 22 = 0. What is b?
-1
Suppose -3*m**2 - 4 - 10*m + 8*m**3 + 0*m**4 - m**2 + 8*m**4 - m**5 + 3*m**5 = 0. Calculate m.
-2, -1, 1
Let -2*l**4 + l - 6*l**2 + 5*l**4 - 5*l - l**4 = 0. What is l?
-1, 0, 2
Let n be 427/63 + -7 + 4/18. Factor -3/5*h**5 - 3/5*h**2 + 3/5*h**3 + 0*h + n + 3/5*h**4.
-3*h**2*(h - 1)**2*(h + 1)/5
Suppose 0 = -5*g - 4 + 84. Let v be (g/(-12))/(2/(-3)). Factor -2/9*i**5 + 0*i**v + 0 - 2/9*i + 0*i**4 + 4/9*i**3.
-2*i*(i - 1)**2*(i + 1)**2/9
Let f(r) be the first derivative of 0*r**2 + 0*r**4 + 3 - 1/40*r**5 + 0*r - 1/60*r**6 + 4/3*r**3. Let g(y) be the third derivative of f(y). Factor g(i).
-3*i*(2*i + 1)
Find f such that -1/2 - 2*f**3 - 2*f - 1/2*f**4 - 3*f**2 = 0.
-1
Let v be (-1)/((-12)/40)*(-1)/(-15). Suppose -v*t**2 + 0*t + 2/9 = 0. Calculate t.
-1, 1
Let x(t) be the first derivative of 4*t**2 + 3*t + 27/2*t**4 + 12*t**3 - 2. Let g(m) be the first derivative of x(m). Factor g(v).
2*(9*v + 2)**2
Let z(u) be the first derivative of 9*u**4/4 + 7*u**3 + 3*u**2 + 5. Factor z(l).
3*l*(l + 2)*(3*l + 1)
Suppose -2*m + 7*m = 0. Let u(f) be the third derivative of -f**2 + m + 1/12*f**4 - 1/6*f**3 + 0*f - 1/60*f**5. Factor u(r).
-(r - 1)**2
Let d(v) be the third derivative of v**8/504 + 8*v**7/315 - v**6/9 + v**5/45 + 19*v**4/36 - 10*v**3/9 + v**2 - 8. Find o, given that d(o) = 0.
-10, -1, 1
Let l = 17 - 13. Let v(x) be the second derivative of 1/3*x**2 - 1/6*x**3 + 0*x**l + 0 - 2*x + 1/60*x**5. Suppose v(h) = 0. What is h?
-2, 1
Let f(o) = -o**2 + 2. Let c be f(0). Suppose -2*a + 0*a = 3*p - 10, c*a + 2 = 0. Solve -5*w**2 - 2*w + p*w**2 - w**2 = 0.
-1, 0
Let u = 178 + -176. Factor -2/3*h**2 + 4/3*h + u.
-2*(h - 3)*(h + 1)/3
Let o(i) be the third derivative of -i**5/120 + i**4/8 - 5*i**3/12 - i**2 - 6. What is j in o(j) = 0?
1, 5
Let n be (15/(-25))/(2/(-10)). Let 0 - 4/3*g**4 + 4*g**5 - 3*g**n - 1/3*g + 2*g**2 = 0. What is g?
-1, 0, 1/3, 1/2
Let r = -734/5 - -148. Let 2/5*o**2 + r*o + 4/5 = 0. What is o?
-2, -1
Let u = -299 + 5981/20. Let n = 43/60 - u. Factor 4/3*x + n + 2/3*x**2.
2*(x + 1)**2/3
Let h(n) be the first derivative of 0*n**2 - 3 + 0*n - 1/8*n**4 + 0*n**3 - 1/5*n**5 - 1/12*n**6. Factor h(c).
-c**3*(c + 1)**2/2
Solve -6*q**2 + 3*q**2 + 5*q**2 + 2*q = 0.
-1, 0
Let o(u) be the first derivative of 1/300*u**5 + 0*u**2 + 0*u - u**3 - 4 + 1/900*u**6 + 0*u**4. Let f(n) be the third derivative of o(n). Factor f(j).
2*j*(j + 1)/5
Factor 0*a**2 + 1/9*a**4 + 1/3*a**3 + 0 - 4/9*a.
a*(a - 1)*(a + 2)**2/9
Suppose 2*x = s + 5, -5*x + 11 = s - 3*x. Determine u, given that 0 + 0*u**s + 2/3*u**2 + 1/3*u - 1/3*u**5 - 2/3*u**4 = 0.
-1, 0, 1
Suppose 4*g - 2*l - 5 = -l, -5*g + 25 = 5*l. Let r be 28/156 - g/(-13). Let 2/3 - r*v - 1/3*v**2 = 0. What is v?
-2, 1
Suppose 0 = -2*a - 2*f - 2, 0 = 5*a + 6*f - 2*f + 1. Let c(t) be the third derivative of 0*t**5 - 1/60*t**6 - t**2 + 0*t + 1/4*t**4 + 0 - 2/3*t**a. Factor c(z).
-2*(z - 1)**2*(z + 2)
Let 0 - 4/5*c - 4/5*c**2 = 0. Calculate c.
-1, 0
Suppose 3*c - 3 - 3 = 0. Determine d, given that 14*d**2 - 2 - c*d - 4*d**2 + 10*d**3 + 8*d**3 + 8*d**2 = 0.
-1, -1/3, 1/3
Let q(w) be the first derivative of -3*w**4 + 19*w**3 - 33*w**2/2 - 12*w + 15. Factor q(m).
-3*(m - 4)*(m - 1)*(4*m + 1)
Let 0*f + f - 1 - f**2 + 1 = 0. What is f?
0, 1
Let y(d) be the third derivative of d**6/30 - 7*d**5/15 + 4*d**4/3 + 32*d**3/3 - 4*d**2. Factor y(q).
4*(q - 4)**2*(q + 1)
Let m(q) be the third derivative of -q**8/2688 + q**7/336 - 3*q**6/320 + 7*q**5/480 - q**4/96 - 30*q**2. Factor m(f).
-f*(f - 2)*(f - 1)**3/8
Let w(j) = -j**2 - 8*j. Let v be w(-8). Let n(g) be the second derivative of 0 + g + v*g**3 - 1/10*g**5 - 1/6*g**4 + 0*g**2. Suppose n(o) = 0. Calculate o.
-1, 0
Let r = -26 + 28. Factor -5*q - q**2 + 5*q**3 + 4*q**4 - 2 - r*q**2 + 2 - 1.
(q - 1)*(q + 1)**2*(4*q + 1)
Suppose 13 = 5*b - 12. Let f = 21/76 + -1/38. Determine u, given that f*u + 1/4*u**b - 1/2*u**3 + 0*u**4 + 0*u**2 + 0 = 0.
-1, 0, 1
Let u(y) be the second derivative of y**4/42 + 2*y**3/21 + y. Factor u(v).
2*v*(v + 2)/7
Factor -2/3*a - 1/3*a**2 + 0.
-a*(a + 2)/3
Let w(h) be the first derivative of 144*h**5/115 - 201*h**4/46 + 256*h**3/69 - 29*h**2/23 + 4*h/23 + 31. Suppose w(m) = 0. What is m?
1/8, 1/3, 2
Let m(i) be the third derivative of -1/105*i**7 + 2/15*i**5 + 0 + 0*i**3 + 0*i + 1/60*i**6 - 6*i**2 - 1/3*i**4. Find p, given that m(p) = 0.
-2, 0, 1, 2
Let s(a) = 4*a**2 + 12*a - 32. Let h(x) = 3*x**2 + 8*x - 21. Let n(t) = -8*h(t) + 5*s(t). Find c, given that n(c) = 0.
-2, 1
Let u(c) be the first derivative of c**4/18 + 8*c**3/27 + 5*c**2/9 + 4*c/9 - 6. Determine f so that u(f) = 0.
-2, -1
Let a be (2/(-3))/((-28)/48). Factor -a*q - 8/7 - 2/7*q**2.
-2*(q + 2)**2/7
Let n(i) be the first derivative of -i**5/40 + i**3/24 + 4. Find j, given that n(j) = 0.
-1, 0, 1
Let m(k) be the first derivative of -k**3/24 + k**2/8 + 3. Determine n, given that m(n) = 0.
0, 2
Let q(s) be the second derivative of s**8/840 - s**7/140 + s**6/90 + 2*s**3/3 + 2*s. Let f(o) be the second derivative of q(o). Find a, given that f(a) = 0.
0, 1, 2
What is i in -8/5 + 12/5*i - 4/5*i**2 = 0?
1, 2
Let w(c) be the third derivative of 13*c**6/240 + c**5/8 + c**4/24 - 12*c**2. Find p, given that w(p) = 0.
-1, -2/13, 0
Let y = -6/17227 + -5170555/17227. Let w = -299 - y. Factor 0 + 2/7*s**3 + w*s**2 + 8/7*s.
2*s*(s + 2)**2/7
Let r(a) be the first derivative of 2*a**4/21 + a**3/7 - a**2/7 - 2*a - 2. Let v(m) be the first derivative of r(m). Suppose v(k) = 0. What is k?
-1, 1/4
Let k = 13/35 + 71/35. Solve 3/5*y**2 + 12/5 - k*y = 0 for y.
2
Let n(k) be the third derivative of -k**6/960 + k**5/120 + 48*k**2. Suppose n(m) = 0. What is m?
0, 4
What is o in o**3 + 1 + 2*o**2 - 3*o + 0*o**2 - 1 = 0?
-3, 0, 1
Let i(g) be the second derivative of g**6/60 - g**5/20 - g**4/8 + g**3/3 + g**2 + g. Find z such that i(z) = 0.
-1, 2
Factor 8/5*k**2 + 0*k + 2*k**4 + 16/5*k**3 + 0 + 2/5*k**5.
2*k**2*(k + 1)*(k + 2)**2/5
Let k(w) be the first derivative of 2*w**3/15 - 28*w**2/5 + 392*w/5 + 29. Factor k(a).
2*(a - 14)**2/5
Let x(j) be the third derivative of -j**8/33600 - j**7/6300 + j**6/3600 + j**5/300 + j**4/24 + 3*j**2. Let a(i) be the second derivative of x(i). Factor a(b).
-(b - 1)*(b + 1)*(b + 2)/5
Determine h so that -2/3*h**3 - 4/3 - 7*h**2 + 20/3*h + 7/3*h**4 = 0.
-2, 2/7, 1
Let f(d) = -7*d**3 - d + 2*d + 4*d**3. Let b be f(-1). Factor t**b - 7/2*t**3 - 1 + 7/2*t.
-(t - 1)*(t + 1)*(7*t - 2)/2
Let g(q) be the third derivative of q**6/60 - q**4/4 + 2*q**3/3 + 6*q**2. Factor g(u).
2*(u - 1)**2*(u + 2)
Suppose 2 = 2*d - 2. Determine n so that 4*n + 3*n**d + 8 - n**2 + 4*n = 0.
-2
Let j(u) be the third derivative of u**5/12 - 7*u**4/24 + u**3/3 + u**2. Let h(s) = -5*s**2 + 6*s - 1. Let b(a) = -4*h(a) - 3*j(a). Factor b(n).
(n - 1)*(5*n + 2)
Let i = -2381/8 - -298. Let h(l) be the first derivative of -1/6*l**3 + 0*l + 0*l**2 - 3/10*l**5 - 1/12*l**6 + 4 - i*l**4. Factor h(z).
-z**2*(z + 1)**3/2
Let a(j) be the first derivative of 10 - 3/20*j**5 - 1/4*j + 0*j**2 + 1/12*j**6 + 1/3*j**3 - 1/8*j**4. Factor a(v).
(v - 1)**3*(v + 1)*(2*v + 1)/4
Let s = -4 + 6. Determine n so that -2*n**3 - 2*n + 4*n - n - 2 + n + 2*n**s = 0.
-1, 1
Let u(n) be the second derivative of n**5/10 - n**4/6 - n**3/3 + n**2 + 5*n. What is x in u(x) = 0?
-1, 1
Let x(g) be the third derivative of -1/300*g**6 + 4*g**2 + 0*