*6 + 0*z**2 + 1/14*z**4 - 2*z + 0. Factor a(o).
2*o*(o - 1)**2*(7*o + 2)/7
Let k(u) be the first derivative of u**4/14 - 2*u**3/7 + 3*u**2/7 - 2*u/7 - 17. Factor k(p).
2*(p - 1)**3/7
Solve 0 + o - 1/5*o**2 = 0.
0, 5
Let a(i) be the first derivative of -35*i**4/12 - 199*i**3/9 - 62*i**2/3 - 20*i/3 - 26. Find k such that a(k) = 0.
-5, -2/5, -2/7
Suppose 4 = -12*t + 52. Let p(d) be the second derivative of -3*d - 2/15*d**3 + 0 - 1/30*d**t - 1/5*d**2. Find i, given that p(i) = 0.
-1
Let a be (-8)/6 + (1 - -1). Let u = -132/5 + 406/15. Find q, given that u*q - a + 4/3*q**2 = 0.
-1, 1/2
Let u = -13465 + 188381/14. Let f = u + 19/2. Factor 2/7*i + 0*i**3 + 4/7*i**2 - 4/7*i**4 - f*i**5 + 0.
-2*i*(i - 1)*(i + 1)**3/7
Let g(q) = -31*q - 1. Let x be g(-1). Suppose 317 = 4*h + 5. Factor 60*s**2 - 20*s - h*s**3 + 2 + 12*s**2 - x*s**3 + 54*s**4.
2*(s - 1)*(3*s - 1)**3
Let y(a) be the second derivative of -a**4/9 - 10*a**3/9 - 8*a**2/3 + 4*a. Find x such that y(x) = 0.
-4, -1
Suppose j - 9 - 15 = 0. Suppose 2*y + 6 = 0, l - 4*y + 10 - j = 0. Solve 0 - 14/3*s**l - 4/3*s = 0.
-2/7, 0
Let s be 28/16 - 3/(-12). Factor -1/2*t**s + 0*t - 1/2*t**3 + 0.
-t**2*(t + 1)/2
Factor -9*q**3 - 3*q**4 + 3*q + 0*q**4 + 9*q.
-3*q*(q - 1)*(q + 2)**2
What is m in -m**3 + 2*m**3 + 15*m**4 - 7*m**5 + 6*m - 15*m**2 - 2*m**5 + 2*m**3 = 0?
-1, 0, 2/3, 1
Factor -1/3*a**4 + 0*a + 0 - 1/3*a**5 + 0*a**2 + 2/3*a**3.
-a**3*(a - 1)*(a + 2)/3
Suppose 9 = -3*m + 7*m + r, m - 5 = -3*r. Factor 1/5*s**m + 2/5*s - 1/5*s**3 + 0.
-s*(s - 2)*(s + 1)/5
Factor 0*c - 2/3*c**2 + 2/3*c**4 + 0 + 0*c**3.
2*c**2*(c - 1)*(c + 1)/3
Let u(z) = -z**2 - 12*z. Let y be 8*2*9/(-12). Let p be u(y). Let 0 + 0*b + 2*b**4 + p*b**2 + 3/2*b**5 + 1/2*b**3 = 0. Calculate b.
-1, -1/3, 0
Let q be 2*(-3)/6 - -1. Suppose j + q*j = 0. Factor 0 + 1/4*m**5 + 0*m**3 - 1/4*m**4 + 0*m + j*m**2.
m**4*(m - 1)/4
Let i = 45 + -40. Factor 11/3*x**4 - 1/3*x + 4/3*x**i + 3*x**3 + 1/3*x**2 + 0.
x*(x + 1)**3*(4*x - 1)/3
Let r(n) be the second derivative of -n**6/20 + 3*n**4/8 - n**3/2 + 21*n. Factor r(h).
-3*h*(h - 1)**2*(h + 2)/2
Let x(c) be the first derivative of -3*c**5/20 + 9*c**4/16 - c**3/2 + 7. Factor x(q).
-3*q**2*(q - 2)*(q - 1)/4
Let n(j) = -j**3 - j**2 - j + 4. Let v be n(0). Let w(c) = 1 - c**2 - 3 - c**2. Let x(f) = 6*f**2 - f + 6. Let z(r) = v*x(r) + 11*w(r). Factor z(s).
2*(s - 1)**2
Let t(g) be the second derivative of g**10/19440 + g**9/13608 - g**8/15120 + g**4/4 - 3*g. Let v(c) be the third derivative of t(c). Factor v(h).
2*h**3*(h + 1)*(7*h - 2)/9
Suppose 38*a + 8 = 84. Solve -4*i + a*i**2 - 1/3*i**3 + 8/3 = 0 for i.
2
Let d(q) be the second derivative of -2*q**6/5 - 4*q**5/5 + 2*q**4/3 + 8*q**3/3 + 2*q**2 + 3*q. Solve d(b) = 0 for b.
-1, -1/3, 1
Let n = -79 + 3163/40. Let m = 13/40 - n. Factor 1/4*b**3 - 1/4*b**2 + 1/4 - m*b.
(b - 1)**2*(b + 1)/4
Suppose 0 = -2*p + 7*p - 10. Factor 4*c - c - 2*c - c**2 + p.
-(c - 2)*(c + 1)
Let c(z) be the third derivative of -z**9/241920 + z**7/20160 - z**5/30 + 2*z**2. Let t(m) be the third derivative of c(m). Let t(a) = 0. What is a?
-1, 0, 1
Let b = 21 + -19. Let d(v) be the third derivative of 1/30*v**5 + 0*v**3 + 0*v**4 - 1/30*v**6 + 0 + b*v**2 + 1/105*v**7 + 0*v. Find r such that d(r) = 0.
0, 1
What is k in 0 + 8/7*k**2 - 2/7*k = 0?
0, 1/4
Factor -2/3*a**3 + 4/3*a + 2/3*a**2 + 0.
-2*a*(a - 2)*(a + 1)/3
Let f be 5 - (7 + 0) - 9/(-4). Let u(i) be the first derivative of -2 - f*i**3 + 3/4*i - 9/8*i**2 + 9/16*i**4. Factor u(s).
3*(s - 1)*(s + 1)*(3*s - 1)/4
Suppose l - 12 = z, -6*l + 2*l = 2*z - 48. Let 10*g + 18 - 58*g - 18*g**2 - l*g - 8*g**3 - 28*g**2 = 0. What is g?
-3, 1/4
Let p(s) be the third derivative of -s**8/2240 - s**7/840 - s**4/6 + 3*s**2. Let c(h) be the second derivative of p(h). Factor c(z).
-3*z**2*(z + 1)
Let p(i) = i**2 + 2*i. Let r be p(-1). Let u = 1 - r. Find q, given that 4*q**2 - 7*q**u + 5*q**2 + 2*q**3 = 0.
-1, 0
Let a(k) be the first derivative of k**8/672 - k**6/120 + k**4/48 - 3*k**2/2 + 4. Let l(x) be the second derivative of a(x). Factor l(d).
d*(d - 1)**2*(d + 1)**2/2
Let n(w) = -w**3 + 11*w**2 - 9*w - 7. Let z be n(10). Let o be (-4)/(-1) - (3 - z). Factor 2*j**o + 2*j**3 + 2*j**2 - 3*j**2 - 3*j**4.
-j**2*(j - 1)**2
Let j(f) be the first derivative of -3*f - 2/3*f**4 + 2 - f**3 + f**2. Let v(w) be the first derivative of j(w). Solve v(c) = 0 for c.
-1, 1/4
Let z(h) be the third derivative of -h**8/420 + 2*h**7/175 - h**6/50 + h**5/75 - 26*h**2. Let z(y) = 0. Calculate y.
0, 1
Let t(h) be the first derivative of -2*h**3/15 - 3*h**2/5 + 1. Factor t(k).
-2*k*(k + 3)/5
Let f be (-1)/(-3)*(12 + 108/(-9)). Let f*s + 4/5*s**2 + 0 = 0. Calculate s.
0
Let t(a) be the third derivative of -a**8/56 - 4*a**7/15 - 79*a**6/60 - 9*a**5/5 + 8*a**4/3 + 32*a**3/3 + 5*a**2. Suppose t(y) = 0. Calculate y.
-4, -1, 2/3
Let c(h) be the third derivative of 1/90*h**5 + 0*h**4 + 0*h**3 - 7/360*h**6 + 1/126*h**7 + 0*h - 2*h**2 + 0. Factor c(p).
p**2*(p - 1)*(5*p - 2)/3
Let b(k) be the third derivative of -k**5/20 + k**4/4 - 8*k**2. Factor b(m).
-3*m*(m - 2)
Let f(n) = -4*n**4 - 22*n**3 - 8*n**2 + 7*n - 3. Let p(v) = 9*v**4 + 43*v**3 + 16*v**2 - 13*v + 5. Let z(u) = 5*f(u) + 3*p(u). Factor z(i).
i*(i + 1)*(i + 2)*(7*i - 2)
Factor -3/5*l**5 + 0*l + 0*l**2 + 0 + 0*l**4 + 3/5*l**3.
-3*l**3*(l - 1)*(l + 1)/5
Suppose -35*q = -26*q. Factor -1/3*d**2 + 0 + q*d.
-d**2/3
Let g = 1487/3 + -495. Factor g*h**2 + 0*h**3 - 1/3 - 1/3*h**4 + 0*h.
-(h - 1)**2*(h + 1)**2/3
Let z(v) be the first derivative of v**4/4 + 13. Suppose z(i) = 0. What is i?
0
Let a(t) be the first derivative of t**3/18 + 5*t**2/12 + 2*t/3 - 8. Factor a(v).
(v + 1)*(v + 4)/6
Let w = 1/12 - -1/6. Determine q so that w*q - 1/4*q**2 + 1/2 = 0.
-1, 2
Let m(c) = -c**2 + 0*c + 5*c + c**2 + 6 - c**2. Let l(b) be the first derivative of -b**3/3 + 2*b**2 + 5*b + 2. Let k(i) = 7*l(i) - 6*m(i). Factor k(g).
-(g + 1)**2
Let i(s) be the first derivative of -s**5/15 + s**4/6 - 3*s**2/2 - 1. Let l(c) be the second derivative of i(c). Factor l(j).
-4*j*(j - 1)
Suppose 5*d = -z + 29, z + 3*d = -2*z + 39. Suppose 5*o - z = -j, -6 = -2*o - 0*o + 2*j. Find r, given that -2 + 1 + 2*r**3 - 2*r - 2*r**4 + 1 + o*r**2 = 0.
-1, 0, 1
Let u(b) be the second derivative of 0*b**2 + 1/3*b**3 + 2*b + 0 - 1/12*b**4. Factor u(l).
-l*(l - 2)
Suppose 0*u = -u + 2. Let g be 20/(-12)*2/(-10). Let -g*m**u - 2/3*m - 1/3 = 0. Calculate m.
-1
Let x(l) be the third derivative of -l**6/660 - l**5/165 + l**4/132 + 2*l**3/33 - 20*l**2. Factor x(n).
-2*(n - 1)*(n + 1)*(n + 2)/11
Let z be -1 - 3/(90/(-39)). Let t(s) be the second derivative of -3*s + z*s**5 + 1/3*s**3 + 0*s**2 + 5/6*s**4 + 0 - 3/5*s**6. Factor t(k).
-2*k*(k - 1)*(3*k + 1)**2
Let v(r) be the first derivative of 0*r - 10 + 1/6*r**6 + 1/2*r**2 + 0*r**3 + 0*r**5 - 1/2*r**4. Determine c, given that v(c) = 0.
-1, 0, 1
Let f = 21 - 14. Solve -4*k + 5*k**2 + f*k**4 + 6*k**2 + 19*k**3 - 3*k**2 = 0.
-2, -1, 0, 2/7
Factor -9/4 + 21/4*c + 3/4*c**3 - 15/4*c**2.
3*(c - 3)*(c - 1)**2/4
Suppose -5*s = -5*n + 10, 0*n + 3*s + 9 = 4*n. Determine j, given that 2 - 3*j**4 + 6*j**n + 2 + 2*j**4 - 8*j + j**2 - j**5 - j**3 = 0.
-2, 1
Let n(y) be the second derivative of y**7/3780 + y**6/1080 - y**5/90 + y**4/4 + 3*y. Let x(r) be the third derivative of n(r). Factor x(l).
2*(l - 1)*(l + 2)/3
Let l be ((-8)/(-12))/(2/18). Suppose l*r + 10*r**3 + 6 - 6*r**4 - 12*r**2 - 7 + 3*r**4 = 0. Calculate r.
1/3, 1
Let r = -20 + 24. Let d(v) be the third derivative of 3/16*v**r + 1/60*v**6 - 1/10*v**5 + v**2 - 1/6*v**3 + 0*v + 0. Factor d(y).
(y - 2)*(2*y - 1)**2/2
Let g be (-24)/10 + 27/(-45). Let m be (-1)/(g + (-12)/(-8)). Factor -m*h + 2/3*h**2 + 0.
2*h*(h - 1)/3
Factor -4/3*i**3 + 2/3*i**4 + 2/3*i**5 + 0*i + 0*i**2 + 0.
2*i**3*(i - 1)*(i + 2)/3
Let r = -1431 - -78707/55. Let q(j) be the first derivative of -1/22*j**4 + 0*j**2 + r*j**5 + 0*j + 1/33*j**6 - 2/33*j**3 - 1. Determine y so that q(y) = 0.
-1, 0, 1
Suppose 0 = -2*z + 3 + 1. Factor 2*t**4 - t**5 + t - 2*t**z - t**2 + t**2 + 0*t**5.
-t*(t - 1)**3*(t + 1)
Let g = 463/3 + -153. Factor 4/3*d - 1/3*d**2 - g.
-(d - 2)**2/3
Let a(s) be the first derivative of -s**5/10 + 3*s**4/16 + s**3/3 - 3*s**2/8 - s/2 - 6. Suppose a(u) = 0. What is u?
-1, -1/2, 1, 2
Let c be 0 - (3 + -10 +