e the second derivative of -1/6*g**2 + 1/18*g**3 - g - 1/60*g**h + 1/36*g**4 + 0. Factor b(f).
-(f - 1)**2*(f + 1)/3
Suppose 120*h**2 - 5 + 3 + 4*h**3 - h**5 - 3*h - 118*h**2 = 0. Calculate h.
-1, 1, 2
Suppose 4*z - 2*b + 2 = -0*b, -5*z = 5*b + 25. Let n be z + 5 + 45/(-25). Factor 6/5*m**4 + 0 + 2/5*m**5 + n*m**3 + 2/5*m**2 + 0*m.
2*m**2*(m + 1)**3/5
Let o(q) be the first derivative of -q**6/360 - q**5/30 - q**4/8 + q**3/3 + 4. Let z(c) be the third derivative of o(c). Factor z(v).
-(v + 1)*(v + 3)
Let n(t) be the first derivative of 4*t**3/15 + 2*t**2/5 + 7. Factor n(c).
4*c*(c + 1)/5
Let m(x) be the second derivative of x**7/126 + x**6/90 - x**5/12 - 5*x**4/36 + 2*x**3/9 + 2*x**2/3 + x + 4. Let m(d) = 0. What is d?
-2, -1, 1, 2
Suppose -8*g = -16 - 16. Find h, given that -1/2*h**2 + 3/2*h**g + 5/2*h - 5/2*h**3 - 1 = 0.
-1, 2/3, 1
Factor 20*k**3 - 189 - 164 + 385 + 88*k**2 + 112*k.
4*(k + 2)**2*(5*k + 2)
Let x(i) = -5*i**2 - i**3 - 7 + i**2 + 6*i - 3*i**2 + i**2. Let c be x(-7). Let c + 0*l - 2/5*l**2 = 0. What is l?
0
Let g be (1 - 2 - -2)*4. Suppose 2*b + 12 = g*w, b = -4*w + 6*b + 12. Solve -3*i**w + 2*i - 4*i**2 - 3*i - 2*i**2 - 2*i = 0 for i.
-1, 0
Let x(f) be the first derivative of 0*f**2 - 1/3*f**6 + 0*f**3 + 0*f**4 + 4 - 2/5*f**5 + 0*f. Suppose x(a) = 0. Calculate a.
-1, 0
Let y(g) be the second derivative of -g**4/12 - g**3/6 - 5*g. Factor y(a).
-a*(a + 1)
Let f(h) = h**2 - 2*h - 12. Let p be f(5). Determine i so that 7*i - i + 3*i**p + 16*i**2 - 7*i**2 = 0.
-2, -1, 0
Let l(w) be the third derivative of -2*w**2 + 0*w - 1/2*w**3 + 0 - w**4 - 4/5*w**5. Let l(o) = 0. Calculate o.
-1/4
Find p, given that -3/2 - 3/2*p**4 + 0*p**3 + 3*p**2 + 0*p = 0.
-1, 1
Factor 32/11*b**3 + 210/11*b - 16*b**2 - 72/11.
2*(b - 4)*(4*b - 3)**2/11
Let q(j) be the first derivative of 4 + 5/7*j**2 + 1/14*j**4 + 4/7*j + 8/21*j**3. Determine v, given that q(v) = 0.
-2, -1
Let w = 105 + -75. Let l be 1/(-4) + w/56. Factor l*a**2 - 2/7 + 0*a.
2*(a - 1)*(a + 1)/7
Let y be (12/(-20))/((-48)/40). Let x(d) be the first derivative of -3 - 5*d**2 - 4*d - 8/3*d**3 - y*d**4. Factor x(k).
-2*(k + 1)**2*(k + 2)
Let s(t) be the first derivative of -t**6/30 - t**5/20 + t**4/12 + t**3/6 + 3*t - 8. Let w(j) be the first derivative of s(j). Solve w(v) = 0 for v.
-1, 0, 1
Let a(p) be the third derivative of p**8/168 + 2*p**7/105 + 2*p**2. Let a(f) = 0. Calculate f.
-2, 0
Let k be (60/5 - 5) + 12/(-6). Suppose -3/5*r**4 + 3/5*r**2 + 0*r - 3/5*r**3 + 3/5*r**k + 0 = 0. Calculate r.
-1, 0, 1
Let n = 10 - 11. Let f be -2 - (n + -1 + -2). Determine w, given that 1/3*w**f + 2/3*w + 0 = 0.
-2, 0
Let h(l) be the third derivative of -l**6/60 + l**4/4 + 2*l**3/3 + 12*l**2. Factor h(p).
-2*(p - 2)*(p + 1)**2
Let c(d) = -d + 8. Let h be c(4). Suppose g - 4*z = -3*g + 16, h*z + 4 = 0. Let -1/3*l**5 + 0*l + 0 - l**4 - l**g - 1/3*l**2 = 0. What is l?
-1, 0
Factor 0*b**4 + 6*b**3 + 2*b**4 - b**5 - 3*b**3.
-b**3*(b - 3)*(b + 1)
Let q be (-6)/(-8)*(43 + 5). Factor 27*b**2 - 59*b**2 - q - 24*b + 28*b**2.
-4*(b + 3)**2
Let u(p) = -6*p**4 - 57*p**3 + 15*p**2 + 27*p + 21. Let q(b) = b**4 + 8*b**3 - 2*b**2 - 4*b - 3. Let l(h) = 15*q(h) + 2*u(h). Factor l(a).
3*(a - 1)*(a + 1)**3
Let t(h) be the third derivative of h**8/2352 + h**7/1470 - h**6/840 - h**5/420 + 4*h**2. Factor t(n).
n**2*(n - 1)*(n + 1)**2/7
Let p(n) be the third derivative of n**6/480 - n**5/60 + n**4/32 - 22*n**2. Factor p(b).
b*(b - 3)*(b - 1)/4
Suppose -2/9*s - 4/9*s**4 + 0 + 2/9*s**5 + 0*s**3 + 4/9*s**2 = 0. What is s?
-1, 0, 1
Suppose -3*s = -s - 3*m + 5, -5*s - 2*m - 22 = 0. Let b be s/10 + (-81)/(-15). Let -2*o**5 + 4*o**2 - 3*o**b + 2*o + 3*o**5 - 4*o**4 = 0. Calculate o.
-1, 0, 1
Let n(o) be the second derivative of 0*o**2 + 0 + 0*o**3 - 3/10*o**5 + 1/10*o**6 + 5*o + 1/4*o**4. Solve n(x) = 0.
0, 1
Let a = 34 + -30. Let s(n) be the second derivative of -3/10*n**5 + 0*n**2 - 1/42*n**7 + 0 - 2/15*n**6 - 1/6*n**3 - 1/3*n**a - n. Let s(z) = 0. What is z?
-1, 0
Let n be 104/18*(-27)/(-99). Let y = -10/11 + n. Solve y*r - 8/3*r**4 + 6*r**3 + 0 - 4*r**2 = 0.
0, 1/4, 1
Let 10*q + 10*q - 2*q + 27 + 3*q**2 = 0. Calculate q.
-3
Let d(p) be the first derivative of -4 - 2/21*p**3 + 2/7*p**2 - 2/7*p. Suppose d(o) = 0. Calculate o.
1
Let k(i) be the second derivative of -7*i - 1/42*i**7 - 16*i**2 - 8/3*i**3 + 2/5*i**5 + 0 + 4/3*i**4 - 1/15*i**6. Factor k(g).
-(g - 2)**2*(g + 2)**3
Let f = -251/14 - -171/7. Let -f*h**4 + 15/2*h**2 - 3*h**5 + 1/2*h - 1 + 5/2*h**3 = 0. What is h?
-2, -1, -1/2, 1/3, 1
Let w(b) be the third derivative of -b**6/120 - b**5/60 + 9*b**2. Determine m so that w(m) = 0.
-1, 0
Let x be -1 - (1112/(-12))/(-2). Let f = x - -48. Find h, given that 0*h - 8/9 + 2/9*h**3 + f*h**2 = 0.
-2, 1
Let v(f) be the third derivative of 0*f**6 + 1/840*f**8 - 1/75*f**5 + 3*f**2 + 2/525*f**7 + 0 + 0*f - 1/60*f**4 + 0*f**3. Factor v(o).
2*o*(o - 1)*(o + 1)**3/5
Let y(l) be the first derivative of 7*l**2 + 13/2*l**4 + 2*l + 8/5*l**5 + 10*l**3 - 1. Let y(m) = 0. What is m?
-1, -1/4
Let s be (-4)/(-14) + (-132)/(-77). Let 9*t**2 - s*t**2 + 3*t - 6 - 4*t**2 = 0. Calculate t.
-2, 1
Let h(l) = 104*l**2 + 156*l - 72. Let o(f) = -35*f**2 - 52*f + 24. Let k(m) = 3*h(m) + 8*o(m). Suppose k(c) = 0. Calculate c.
-2, 3/8
Let h be 141/27 - 2/9. Let g(k) be the second derivative of 1/6*k**4 + 0*k**3 - 3*k + 0*k**h + 0 - 1/2*k**2 - 1/30*k**6. Determine l so that g(l) = 0.
-1, 1
Let j be ((-1)/(-2))/(12/552). What is z in 9*z**4 - 9*z**2 + j*z**3 - 15*z**5 - z**3 - 2*z - z**3 - 4*z = 0?
-1, -2/5, 0, 1
Let o = 8/23 + 68/69. Let d(n) be the first derivative of -1/3*n**6 + 0*n + 1 + 0*n**4 - 4/5*n**5 + n**2 + o*n**3. Solve d(l) = 0.
-1, 0, 1
Let i(z) be the third derivative of 1/70*z**5 + 0*z**3 + 0 + 0*z + 0*z**6 - 3*z**2 - 1/735*z**7 - 1/42*z**4. Factor i(n).
-2*n*(n - 1)**2*(n + 2)/7
Let u(m) = -5*m**2 - 2*m + 12. Let o(v) = 21*v**2 + 9*v - 48. Let a(k) = -2*o(k) - 9*u(k). Find r such that a(r) = 0.
-2, 2
Let k(r) be the second derivative of r**5/80 - r**3/6 + 22*r. Let k(o) = 0. Calculate o.
-2, 0, 2
Let g = 20 + -18. Factor 4*u + 0*u - 6 + 0 + 4*u**2 - g.
4*(u - 1)*(u + 2)
Suppose 0 = u - 5*y - 29, -3*u - 4*y = -2*u + 16. Find r such that -2/7*r**2 + 0 - 2/7*r**3 + 2/7*r + 2/7*r**u = 0.
-1, 0, 1
Let y(a) = -4*a**3 - 32*a**2 - 4*a. Let k(b) = 3*b**3 + 21*b**2 + 3*b. Let w(g) = 8*k(g) + 5*y(g). Let w(f) = 0. What is f?
-1, 0
Let c(o) be the first derivative of o**6/40 - o**5/12 + o**4/24 + o**3/6 - o**2 - 3. Let m(r) be the second derivative of c(r). Factor m(a).
(a - 1)**2*(3*a + 1)
Suppose 9 - 2*k**2 - 3/2*k + 1/2*k**3 = 0. Calculate k.
-2, 3
Suppose 0 = 6*t - t. Factor 0 + t*d**4 - 1/3*d**3 + 0*d**2 + 0*d + 1/3*d**5.
d**3*(d - 1)*(d + 1)/3
Let p be -2 - (4 + -8 + 2). Let t(f) be the second derivative of 1/30*f**5 + 0 + 1/18*f**4 + p*f**2 + 0*f**3 + 2*f. Let t(g) = 0. Calculate g.
-1, 0
Let i be (-1)/4 - ((-13)/4)/1. Let k(v) be the first derivative of 3 - 7/5*v**5 - v**2 + 0*v - 11/3*v**i - 4*v**4. Determine m, given that k(m) = 0.
-1, -2/7, 0
Let s be 8/(-48) - ((-70)/(-48) - 2). Let i(t) be the first derivative of 0*t + 1/4*t**2 + s*t**4 + 1 - 1/2*t**3 - 1/10*t**5. Solve i(d) = 0 for d.
0, 1
Let m = 14 - 12. Suppose -4*k + 2*l + 10 = 0, 2*l + 0 = m*k - 10. Solve 1/4*q**2 + k*q - 1/4 = 0 for q.
-1, 1
Let m = 5 + -3. Solve -7*u**m + u + 0*u**2 - 3*u + 0*u**2 = 0 for u.
-2/7, 0
Let l(u) be the third derivative of u**5/80 + u**4/8 + u**3/2 + 2*u**2. Let l(w) = 0. Calculate w.
-2
Let v(c) = c**3. Suppose f + 4 = -f. Let r(z) = -10*z**3 - 2*z**2 - z. Let s(o) = f*r(o) - 18*v(o). Factor s(b).
2*b*(b + 1)**2
Let a = 13 - -3. Let k be (-24)/a*(-10)/3. What is h in -1/4 + 1/4*h**k - 1/4*h**4 - 1/2*h**3 + 1/4*h + 1/2*h**2 = 0?
-1, 1
Let c(s) be the first derivative of s**4/22 - 4*s**3/33 - s**2/11 + 4*s/11 + 21. Suppose c(a) = 0. Calculate a.
-1, 1, 2
Let u(z) be the first derivative of z**4/20 + z**3/15 - z**2/5 - 6. Let u(f) = 0. Calculate f.
-2, 0, 1
Suppose 4*v + 25 = 5*j - 7, 0 = -2*v + 4. Find o, given that 6 + 1 - j*o + 4*o**2 - 3 = 0.
1
Let j(f) be the second derivative of f**7/21 + 22*f**6/75 + 14*f**5/25 + 4*f**4/15 - 30*f. Determine s so that j(s) = 0.
-2, -2/5, 0
Let r(s) be the second derivative of -1/2*s**2 - 2*s - 1/12*s**3 + 1/120*s**5 + 0 + 0*