3. Find h, given that -14/11*h - 28/11*h**2 - 2/11 - z*h**3 = 0.
-1, -1/2, -1/4
Let x be 1 + 1*-5 - (-88)/20. Factor x + 2/5*b - 2/5*b**2 - 2/5*b**3.
-2*(b - 1)*(b + 1)**2/5
Factor 3/2*y**2 + 0*y + 0.
3*y**2/2
Let r be 2 - 5*6/20. Determine p, given that -1/4*p**2 - r*p - 1/4 = 0.
-1
Let r(a) = a**3 + 5*a**2 - 6*a - 1. Let l be r(-6). Let g be (l - 1) + 6 + -1. Factor 2/5*y - 2/5 + 2/5*y**2 - 2/5*y**g.
-2*(y - 1)**2*(y + 1)/5
Let t be ((-8)/(-50))/((-176)/40). Let h = 24/55 + t. Factor -1/5*x + h*x**2 + 0 - 1/5*x**3.
-x*(x - 1)**2/5
Find h such that -3 - 9/2*h**3 - 3/4*h**4 - 39/4*h**2 - 9*h = 0.
-2, -1
Let g = -42 - -41. Let q be 1 + (-90)/(-35) + g. Factor 4/7*h + q*h**2 + 0.
2*h*(9*h + 2)/7
Suppose 3 - 10*k**2 + 3*k**4 - 2*k**2 + 6*k**2 = 0. Calculate k.
-1, 1
Suppose -5*f + f + 356 = 4*b, -321 = -4*f + 3*b. Let d be (-3)/9 - (-76)/f. Factor -6/7*j**4 + 4/7*j**3 - 6/7*j + 2/7 + d*j**2 + 2/7*j**5.
2*(j - 1)**4*(j + 1)/7
Let l(t) be the third derivative of 0*t + 1/24*t**3 + 0*t**4 + 4*t**2 - 1/120*t**5 + 1/840*t**7 + 0*t**6 + 0. Factor l(c).
(c - 1)**2*(c + 1)**2/4
Let r be -3*4/(-18)*6. Let z = r + 1. Factor 4*y**3 - 2*y**z + 2*y**3 - 2*y**3 - 2*y.
-2*y*(y - 1)**2*(y + 1)**2
Let i(t) be the second derivative of 3*t**6/10 + 3*t**5/10 - 3*t**4/4 - t**3 + 19*t. Find o such that i(o) = 0.
-1, -2/3, 0, 1
Let z = 21 - 18. Factor u + 3 - 4 - u**2 + 5 - 3 - u**z.
-(u - 1)*(u + 1)**2
Let f(x) = -8*x**2 - 3*x - 3. Let a(o) = o**3 + 8*o**2 + 3*o + 4. Let v(h) = 3*a(h) + 4*f(h). Determine q, given that v(q) = 0.
-1/3, 0, 3
Let r(t) be the third derivative of -t**7/15120 + t**4/12 + 4*t**2. Let m(g) be the second derivative of r(g). Factor m(p).
-p**2/6
Let w = -2/55 + 61/165. Let x(b) be the second derivative of -w*b**3 - b + 0 - 2/3*b**2 - 1/18*b**4. Factor x(q).
-2*(q + 1)*(q + 2)/3
Let v = 91/54 + -5/27. Let z = 1 - 1. Factor -v*q**2 + 6*q**3 - 9/2*q**4 + 0 + z*q.
-3*q**2*(q - 1)*(3*q - 1)/2
Let s = -32 + 47. Let r be 4/10 - 6/s. Find h, given that 1/2*h**2 - 1/2*h**4 + r*h + 1/2*h**5 + 0 - 1/2*h**3 = 0.
-1, 0, 1
Let o(q) = -6*q**2 + 6*q - 4. Let s(i) be the second derivative of -5*i**4/12 + i**3 - 2*i**2 - 2*i. Let a(u) = 3*o(u) - 4*s(u). What is d in a(d) = 0?
1, 2
Let x be (-2*14/(-4))/1. Factor -2*a + 5*a**2 - x*a**2 - a + a.
-2*a*(a + 1)
Suppose 0 = 8*v - 3*v - 10. Let g be 4 - (-3 + v)*-2. Determine u so that 0*u**g - u + 2/3 + 1/3*u**3 = 0.
-2, 1
Let f(m) be the first derivative of m - 3 + 0*m**2 + 0*m**3 - 1/15*m**4 + 1/50*m**5. Let g(b) be the first derivative of f(b). Factor g(o).
2*o**2*(o - 2)/5
Factor -21*f**4 - 19*f**5 - 45*f**3 + 37*f**5 - 21*f**5 - 27*f**2.
-3*f**2*(f + 1)*(f + 3)**2
Let g be ((-27)/6)/(6/(-8)). Let b be 7/2 - 3/g. Factor -3*r + r + 6*r**3 - 4*r**b.
2*r*(r - 1)*(r + 1)
Let i(x) be the second derivative of 10*x + x**2 + 5/3*x**4 + 1/3*x**6 - x**5 + 0 - 1/21*x**7 - 5/3*x**3. What is w in i(w) = 0?
1
Factor 0*i + 3/5*i**3 + 0*i**2 + 4/5*i**5 + 7/5*i**4 + 0.
i**3*(i + 1)*(4*i + 3)/5
Let p(z) be the second derivative of -z**4/3 - z**3 - 5*z**2 + 2*z. Let m(s) = 21*s**2 + 29*s + 51. Let n(v) = 2*m(v) + 11*p(v). Factor n(x).
-2*(x + 2)**2
Let n(z) = -2*z**3 + 2*z**2 + 3*z + 2. Let a be n(-1). Find u such that 3*u - u - 11*u**a - 2*u + 8*u**2 + 3*u**4 + 4*u = 0.
-1/3, 0, 2
Determine h so that -5/9*h**3 + h**2 + 1/9*h**4 + 2/9 - 7/9*h = 0.
1, 2
Let o(z) be the second derivative of z**5/30 - z**4/18 - 2*z**3/9 + 5*z. Determine g, given that o(g) = 0.
-1, 0, 2
Let s be ((-1)/(10/6))/(-3). Solve 1/5*d**2 + 0 + s*d = 0.
-1, 0
Let j(z) be the third derivative of z**5/140 - z**4/24 + z**3/21 - 3*z**2. Factor j(p).
(p - 2)*(3*p - 1)/7
Suppose 5*o + 14 = 2*g, -3*o - 21 = -2*g - g. Let z(t) = -t**3 + 8*t**2 - 6*t - 5. Let y be z(g). Factor 0*p**4 + 0*p + 1/4*p**3 - 1/4*p**5 + 0 + 0*p**y.
-p**3*(p - 1)*(p + 1)/4
Let s(d) be the first derivative of d**6/300 - d**5/75 - d**2/2 + 3. Let g(m) be the second derivative of s(m). Factor g(r).
2*r**2*(r - 2)/5
Determine a, given that -4/3*a**2 + 8/3 + 4/3*a = 0.
-1, 2
Let t = 10 + -7. Suppose 10 = t*i + 1. Determine g, given that -1/3*g + 0 + 1/3*g**i + 1/3*g**2 - 1/3*g**4 = 0.
-1, 0, 1
Let i(t) be the third derivative of t**7/315 + t**6/60 - t**5/90 - t**4/12 - 8*t**2. Let i(f) = 0. What is f?
-3, -1, 0, 1
Let p(t) be the second derivative of t**6/60 - t**5/10 + t**4/4 - t**3/3 + t**2/4 - 6*t. Factor p(l).
(l - 1)**4/2
Let w = -842 + 2662/3. Let l = w - 45. Factor y**3 - 1/3*y**2 + 0 - y**4 + 0*y + l*y**5.
y**2*(y - 1)**3/3
Let s = -35 + 119. Let p be s/(-540) - (-6)/10. What is i in 2/9*i**4 - p*i**3 + 0*i + 2/9*i**2 + 0 = 0?
0, 1
Let z = 29/9 + -17/9. Let v(m) be the second derivative of 0*m**3 + 1/6*m**4 + 0 - z*m**2 + m - 1/30*m**5. Solve v(n) = 0 for n.
-1, 2
Let j(t) be the first derivative of -t**5/6 - t**4/2 - t**3/2 - t**2/6 + 11. Factor j(o).
-o*(o + 1)**2*(5*o + 2)/6
Suppose -2*f + 8 = -8. Let x = f + -6. Determine j so that -3*j**2 + 5*j**2 + 0*j + 4*j - j**x + 4 = 0.
-2
Let r be (-10 - 336/(-35))*(-2 + -3). Factor -10/7*o**4 + 0 + 24/7*o**3 + 4/7*o - 18/7*o**r.
-2*o*(o - 1)**2*(5*o - 2)/7
Factor 7*y**2 - 4*y**2 - 18*y + 3*y**3 + 6*y - 12.
3*(y - 2)*(y + 1)*(y + 2)
Suppose 20 = 3*m - 4*m. Let t be (-11)/(-44) - 3/m. Let t*o**2 + 0*o - 2/5 = 0. What is o?
-1, 1
Factor -2/5*r**3 + 0 + 2/5*r - r**4 + r**2.
-r*(r - 1)*(r + 1)*(5*r + 2)/5
Factor 2 + 24*y**3 + 18*y**4 - 4*y**2 + y - 16*y + 7*y.
2*(y + 1)**2*(3*y - 1)**2
Let x = -10 + 12. Let y(h) = 37*h**3 - 44*h**x + 14*h**2 + h - 13*h. Let i(p) = 56*p**3 - 45*p**2 - 18*p. Let r(u) = 5*i(u) - 7*y(u). Factor r(s).
3*s*(s - 1)*(7*s + 2)
Let y(m) be the first derivative of -m**5/20 - m**4/8 + m**3 + 3*m**2 - 5. Let n(x) be the second derivative of y(x). Let n(d) = 0. What is d?
-2, 1
Let n(f) = f**3 - 3*f**2 + 3*f + 4. Let t be n(3). Let p be ((-8)/(-10))/((-4)/(-10)). Factor 6*c**4 - 4*c**2 - c**5 - t*c**3 + 7*c**p - 2*c + 9*c**2 - 2*c.
-c*(c - 2)**2*(c - 1)**2
Let o(z) be the first derivative of -z**6/360 - z**5/120 + z**4/12 - 2*z**3/3 + 5. Let w(y) be the third derivative of o(y). Factor w(x).
-(x - 1)*(x + 2)
Let n be (-30)/25*5/(-10). Solve -1/5*p**2 - 2/5 + n*p = 0 for p.
1, 2
Let f(o) be the second derivative of -o**10/120960 + o**8/13440 - o**6/2880 + 3*o**4/4 + 9*o. Let l(d) be the third derivative of f(d). Factor l(t).
-t*(t - 1)**2*(t + 1)**2/4
Let h = -2 + 5. Suppose 3*j**4 + 0*j**3 - 4*j**2 + 3*j**4 - 3*j**h + j**3 = 0. What is j?
-2/3, 0, 1
Find g such that -2*g**2 - 4 + 4 + 3*g - 5*g = 0.
-1, 0
Let n(i) = 2*i**3 - 2*i**2 - i + 1. Let v be n(1). Let u = -236 + 2126/9. Suppose u*m + v + 2/9*m**2 = 0. What is m?
-1, 0
Let w(s) be the first derivative of -s**6/12 - s**5/5 + s**4/8 + s**3/3 - 1. Suppose w(t) = 0. What is t?
-2, -1, 0, 1
Suppose -8 - 16*q + q**5 + 20*q**5 - 110*q**4 + 29*q**5 + 12*q**2 + 38*q**3 + 34*q**2 = 0. Calculate q.
-2/5, 1
Let m(y) be the first derivative of y**6/3 + 28*y**5/15 + 4*y**4/3 - 32*y**3/3 - 80*y**2/3 - 64*y/3 + 14. Solve m(i) = 0 for i.
-2, -2/3, 2
Let a(i) be the first derivative of -i**4/4 + 5*i**3/3 + 7*i**2/2 - 5*i + 3. Let m be a(6). Determine z so that -m + 2*z**4 + 3*z**3 + 1 + z**4 = 0.
-1, 0
Factor -2/5*f**3 + 18/5 + 14/5*f**2 - 6*f.
-2*(f - 3)**2*(f - 1)/5
Suppose 4*w = -0 - 16. Let i be 2/8 + 1/w. Factor 2/7*v**5 + 6/7*v**4 + 2/7*v**2 + i + 6/7*v**3 + 0*v.
2*v**2*(v + 1)**3/7
Let v(n) be the first derivative of -2/3*n**3 + 1 - 1/12*n**4 + 3*n - 2*n**2. Let x(q) be the first derivative of v(q). Find f such that x(f) = 0.
-2
Let k(b) be the third derivative of b**8/42 - 2*b**7/21 + b**6/15 + 4*b**5/15 - 2*b**4/3 + 2*b**3/3 + 5*b**2. Factor k(a).
4*(a - 1)**3*(a + 1)*(2*a - 1)
Let d be (-16)/12*3/(-2). Let o(c) be the second derivative of 0 - 1/48*c**4 - 1/8*c**3 + 2*c - 1/4*c**d. Suppose o(y) = 0. What is y?
-2, -1
Factor -1/3*a**2 + 1/3*a + 1/3*a**4 + 0 - 1/3*a**3.
a*(a - 1)**2*(a + 1)/3
Let u(p) be the third derivative of -p**9/7560 + p**8/1680 - p**7/1260 - 5*p**4/24 + 2*p**2. Let r(y) be the second derivative of u(y). Factor r(t).
-2*t**2*(t - 1)**2
Let k(u) be the third derivative of 2/5*u**5 + 0*u**3 + 0 + 5*u**2 + 3/20*u**6 + 1/3*u**4 + 0*u. Factor k(q).
2*q*(3*q + 2)**2
Let k = 3/7 + -2/21. Let s be -1 - (2 - 19/3). Let 5/3*h + 1/3 + 5/3*h**4 + s*h**3 + k*h**5 + 10/3*h**2 