 y**3/24 + 3*y. Find h, given that q(h) = 0.
-1, 0, 1
Let f(i) be the second derivative of 1/2*i**2 + 0 - 1/12*i**4 - i - 1/6*i**3 + 1/20*i**5. Factor f(d).
(d - 1)**2*(d + 1)
Let b(z) be the third derivative of -z**5/105 - z**4/21 + 2*z**3/7 + 4*z**2. Factor b(y).
-4*(y - 1)*(y + 3)/7
Let s(u) = -u**4 + u**3 - u**2 - u - 1. Let m(i) = -1 + 7 + 6*i - i**2 + 6*i**2 + 4*i**4 - 3*i**2. Let z = 6 - 0. Let g(b) = z*s(b) + m(b). Factor g(l).
-2*l**2*(l - 2)*(l - 1)
Suppose -5*g + 6*g = 2. Let v(m) be the first derivative of -1/16*m**4 - 1/12*m**3 + 2 + 1/8*m**g + 1/4*m. Factor v(k).
-(k - 1)*(k + 1)**2/4
Solve -46*t**3 + 97*t**3 + 10*t**2 - 49*t**3 = 0 for t.
-5, 0
Let d(n) be the second derivative of -n**6/15 + 3*n**5/5 - 4*n**4/3 - 2*n**3 + 9*n**2 - 14*n. Suppose d(v) = 0. Calculate v.
-1, 1, 3
Let n be 1/(-2)*72/(-6). Factor 8*r**2 - n - 6*r**4 + 6 - 2*r**5.
-2*r**2*(r - 1)*(r + 2)**2
Factor -5/2*i**3 - 1/4*i**5 + 1/4 - 5/4*i + 5/4*i**4 + 5/2*i**2.
-(i - 1)**5/4
Let w be (-20)/5 + (-46)/(-10). Solve 3/5*i**3 - 9/5*i**2 + 6/5 + w*i**4 - 3/5*i = 0.
-2, -1, 1
Let j = -5 - -19. Suppose 3*c + 2*x - j = 23, 4*x = c - 31. Factor -f + f + 5*f - c*f**2 + 11*f**3 - 2 + 4*f - 3*f**4.
-(f - 1)**3*(3*f - 2)
Let k(v) = 3*v**3 - 9*v**2. Let x(b) = -6*b**3 + 17*b**2 - b. Let g(q) = -5*k(q) - 3*x(q). Factor g(s).
3*s*(s - 1)**2
Let s = -11/26 + 307/234. What is l in 2/3*l**2 + 8/9*l - s - 2/9*l**4 - 4/9*l**3 = 0?
-2, 1
Let a(q) be the second derivative of 0 + 1/20*q**4 + 0*q**3 + 0*q**2 - 3/100*q**5 - q. Factor a(t).
-3*t**2*(t - 1)/5
Let q(o) be the second derivative of o**8/6720 - o**6/720 - o**4/4 + 3*o. Let b(l) be the third derivative of q(l). Factor b(x).
x*(x - 1)*(x + 1)
Let a(g) be the third derivative of g**6/96 + g**5/30 + g**4/96 - g**3/12 + 5*g**2. Factor a(y).
(y + 1)**2*(5*y - 2)/4
Let n be 0 - (-3 + 1 + 0). Determine l, given that -n*l**4 - 2*l + 4*l**2 + 3*l**5 - 3 + 1 - 5*l**5 + 4*l**3 = 0.
-1, 1
Let l = 396/269 + -201847/1345. Let u = -148 - l. What is t in 3/5 + 3/5*t - 3/5*t**2 - u*t**3 = 0?
-1, 1
Factor 0 + 0*k - 2/11*k**3 + 2/11*k**2 - 2/11*k**4 + 2/11*k**5.
2*k**2*(k - 1)**2*(k + 1)/11
Let z(m) = -m**2 - 5*m + 17. Let j be z(-7). Let 2/9 - 2/9*s**4 + 4/9*s**j + 0*s**2 - 4/9*s = 0. Calculate s.
-1, 1
Let d = 0 - -3. Factor 0*o**3 - o + 2*o**d - 3*o**5 + 2*o**5.
-o*(o - 1)**2*(o + 1)**2
Let x(p) be the first derivative of -3*p**5/5 + 15*p**4/4 - 3*p**3 - 15*p**2/2 + 12*p - 51. Factor x(t).
-3*(t - 4)*(t - 1)**2*(t + 1)
Let g = 7 + -4. Let f(u) be the third derivative of 1/105*u**7 - 1/60*u**6 + 0 + 1/12*u**4 + 0*u + 0*u**g + 2*u**2 - 1/30*u**5. Factor f(s).
2*s*(s - 1)**2*(s + 1)
Suppose y + 1 = -d, -2*y + 2 = 3*d - 0. What is h in 8*h**2 - 4 + h**5 - 2*h**d - 7*h + 6 + 0*h**5 - 2*h**3 = 0?
-2, 1
Let h(w) = 2 - 20*w**2 + 3 - 5*w**5 + 6*w**4 + 1 + 2*w**3 + 3*w. Let k(l) = -2*l**5 + 2*l**4 + l**3 - 7*l**2 + l + 2. Let z(q) = 3*h(q) - 8*k(q). Factor z(m).
(m - 1)**2*(m + 1)**2*(m + 2)
Factor -6*l**2 + 57 - 37 + 5*l**3 - 9*l**2.
5*(l - 2)**2*(l + 1)
Suppose -4*p + 1 + 7 = 0. Solve -4/7*d**4 + 0*d + 0*d**p - 2/7*d**3 + 0 - 2/7*d**5 = 0 for d.
-1, 0
Let 3/8*a**4 - 3/8 + 0*a**2 + 3/4*a**3 - 3/4*a = 0. What is a?
-1, 1
Let m(s) = -s**2 + 3*s + 8. Let n be m(4). Factor 0 - 2/3*o**n + 0*o - 2/3*o**2 + 4/3*o**3.
-2*o**2*(o - 1)**2/3
Let o(l) = -4*l**3 + 6*l**2 + 4*l - 6. Let x(g) = g**3 - g**2 - g + 1. Let y(a) = o(a) + 6*x(a). Let y(b) = 0. Calculate b.
-1, 0, 1
Let c be (-2)/22 - (-58)/154. What is g in -2/7*g - 4/7 + 6/7*g**2 - 2/7*g**4 + c*g**3 = 0?
-1, 1, 2
Find f such that -18*f**3 - 14*f**5 - 6*f**2 - 2*f**2 + 2*f**3 + 38*f**4 = 0.
-2/7, 0, 1, 2
Let x = 17/2 + 4. Let h = 13 - x. Factor 1/4*q + h*q**2 + 0 + 1/4*q**3.
q*(q + 1)**2/4
Find a such that 0*a - 32/15*a**3 + 10/3*a**5 + 0 + 8/15*a**2 + 2/3*a**4 = 0.
-1, 0, 2/5
Suppose -j + 2*j + 4*w - 48 = 0, 221 = 5*j + w. Let h be j/56 + 2/(-4). Let -2/7*n**3 - 2/7*n**2 + h*n + 0 + 2/7*n**4 = 0. What is n?
-1, 0, 1
Let r(y) = 2*y - 7. Let x be r(5). Suppose -4*c + 4*p + 0 = 8, -16 = 2*c - 5*p. Solve 4*b**2 - 2*b + 5*b - 8*b**c - b - 6*b**x = 0.
-1, 0, 1/3
Let -36*d**2 - 2*d + 0*d + 40*d**2 - 2*d**3 = 0. Calculate d.
0, 1
Let k(g) be the first derivative of 1/27*g**6 - 1/6*g**4 + 2/27*g**3 - 2/45*g**5 + 0*g - 4 + 2/9*g**2. What is v in k(v) = 0?
-1, 0, 1, 2
Let l(j) be the third derivative of j**5/30 + 7*j**4/6 - 5*j**3 - 65*j**2. Factor l(w).
2*(w - 1)*(w + 15)
Let l(h) be the third derivative of h**6/630 - h**5/210 - h**4/21 - 3*h**3/2 - 5*h**2. Let w(k) be the first derivative of l(k). Determine n so that w(n) = 0.
-1, 2
Let t(i) be the second derivative of 9*i**7/70 + 9*i**6/40 + 3*i**5/20 + i**4/24 - 7*i**2/2 + i. Let n(p) be the first derivative of t(p). Factor n(k).
k*(3*k + 1)**3
Let x(k) = -2*k - 21. Let z be x(-14). Let c be -4 + 2/z - -4. Factor 4/7 - 2/7*g**2 + c*g.
-2*(g - 2)*(g + 1)/7
Let v(l) = 3*l**4 - 3*l**3 + l**2 - l + 4. Let m(d) be the second derivative of -d**6/30 + d**5/20 - d**2/2 - 3*d. Let s(q) = 4*m(q) + v(q). Factor s(o).
-o*(o - 1)**2*(o + 1)
Let n(w) = -w - 2. Let b(a) = a**2 + 9*a + 16. Let c(p) = -5*b(p) - 40*n(p). Factor c(t).
-5*t*(t + 1)
Suppose 2*t**2 - 153*t**4 - 2*t**2 - 5*t**5 - 10*t**3 + 138*t**4 = 0. Calculate t.
-2, -1, 0
Let s = 34/21 + -115/84. Let 0 - s*o**4 + 1/4*o**2 - 1/4*o + 1/4*o**3 = 0. Calculate o.
-1, 0, 1
Suppose 4*q - 5*n - 15 = 0, q - 8 - 7 = 5*n. Find y such that 0 + q*y - 2/3*y**3 + 0*y**2 = 0.
0
Suppose 3*i + 5 - 6 = -4*t, 3*t + 4*i + 8 = 0. Solve -24/5*l - 26/5*l**2 - 12/5*l**3 - 2/5*l**t - 8/5 = 0 for l.
-2, -1
Let z(s) = s**2 - 2*s - 4. Let l(a) = -3*a**2 + 3*a + 8. Let y(g) = -2*l(g) - 5*z(g). What is o in y(o) = 0?
-2
Let k(b) be the first derivative of -2/3*b**2 + 0*b - 4 + 1/3*b**4 - 2/9*b**3 + 2/15*b**5. Factor k(f).
2*f*(f - 1)*(f + 1)*(f + 2)/3
Factor -8/7 + 18/7*f**3 - 12*f**2 + 50/7*f.
2*(f - 4)*(3*f - 1)**2/7
Let b be (-4)/(-3 + 1) - 12. Let n(v) = -v - 8. Let x be n(b). Determine z so that 4*z**2 + x - z**2 - 6 + 2*z**3 + z**2 - 2*z = 0.
-2, -1, 1
Suppose -2*y = y, -s - y = -2. Determine h so that s*h**2 - 2 - h**2 + h**2 = 0.
-1, 1
Let k(u) be the third derivative of -1/5*u**6 - 3/20*u**5 - 3*u**2 + 0 + 0*u + 0*u**3 - 8/105*u**7 - 1/24*u**4. Factor k(h).
-h*(h + 1)*(4*h + 1)**2
Let d(t) be the third derivative of -1/140*t**7 - t**2 + 0*t - 1/672*t**8 + 0 - 1/120*t**5 - 1/80*t**6 + 0*t**4 + 0*t**3. Factor d(z).
-z**2*(z + 1)**3/2
Let b = -2872/5 - -25879/45. Let o = b + -7/15. Suppose -2/9*y**2 - o*y + 4/9 = 0. Calculate y.
-2, 1
Suppose 5*l = 2*a - 81, 0 = -2*a + 3*l + 17 + 54. Factor a*d + 4*d**5 + 4 - 8*d**5 - 32*d**2 + 8*d**3 - 12 + 8*d**4.
-4*(d - 1)**4*(d + 2)
Let n(m) be the first derivative of -m**4/16 + m**3/6 + m**2/8 - m/2 - 2. Factor n(t).
-(t - 2)*(t - 1)*(t + 1)/4
Let y(l) be the first derivative of l**5/60 - l**4/36 + 2*l + 3. Let d(q) be the first derivative of y(q). Solve d(x) = 0 for x.
0, 1
Let i(x) = 4*x**3 - 2*x**2 + 2*x - 1. Let j be i(1). Factor -4 - 3*f**j + 0*f**3 + f**3 + 6*f + 0*f**3.
-2*(f - 1)**2*(f + 2)
Let a(h) be the third derivative of h**9/68040 - h**8/15120 + h**7/11340 + 5*h**4/24 + 4*h**2. Let v(g) be the second derivative of a(g). Factor v(r).
2*r**2*(r - 1)**2/9
Let h(l) be the third derivative of l**6/40 + l**5/60 - l**4/8 - l**3/6 - 4*l**2. Determine u so that h(u) = 0.
-1, -1/3, 1
Let d(i) be the first derivative of -1/3*i**3 - 1/2*i**2 + i + 3 + 1/4*i**4. Factor d(j).
(j - 1)**2*(j + 1)
Let j(i) = -12*i**3 + 76*i**2 - 36*i - 30. Let c(f) = -f**3 + f - 1. Let l(o) = -2*c(o) + j(o). Factor l(q).
-2*(q - 7)*(q - 1)*(5*q + 2)
Factor 4/7*x**2 - 24/7*x + 36/7.
4*(x - 3)**2/7
Let i = -110/3 + 37. Let w(c) be the first derivative of -1 + i*c**2 - 1/3*c - 1/9*c**3. Factor w(g).
-(g - 1)**2/3
Let m(g) be the first derivative of -4*g**5/5 + 6*g**4 - 52*g**3/3 + 24*g**2 - 16*g + 13. Solve m(x) = 0.
1, 2
Let c be (2 - 1) + -3 + 4. Factor b**4 + 3 - 3 - 4*b**c + 3*b**2.
b**2*(b - 1)*(b + 1)
Let b be 0 + (1 - (-3)/3). Factor b*z**3 + 2*z**4 + z**4 - 5*z**4.
-2*z**3*(z - 1)
Let b(p) = -p + 1. Let f(s) = -15*s**2 + 25*s - 11. Let h(z) = 15*b(z) + 5*f(z). Factor h(y).
-5*(3*y - 2)*(5*y - 4)
Suppose 0 = 4*i + i - o - 11, -13 = -4*i + 5*o. Factor -2/3*n**3 + 2/3*n + 0*n**i - 1/3 + 1/3*n**4.
(n - 1)**3*(n