1/270*f**5. Factor o(x).
2*(x - 1)**2/9
Let r(z) be the first derivative of 4*z**2 + 0*z + 40/3*z**3 + 25/2*z**4 + 1. Factor r(o).
2*o*(5*o + 2)**2
Let s be 7 - (132/(-5))/(-4). Let 1/5 - 3/5*v**4 - s*v**3 + 2/5*v**2 - 1/5*v**5 + 3/5*v = 0. Calculate v.
-1, 1
Let z(a) = -a**3 - a**2 - a + 5. Let k be z(0). Suppose -k*w + 19 = -o - 2*o, 5*w - 15 = 5*o. Let 4 - 3*g - g**o - 3*g + 3*g**2 = 0. What is g?
1, 2
Let r(m) be the second derivative of m**7/6300 + m**6/1800 + m**4/3 + 3*m. Let d(s) be the third derivative of r(s). Factor d(j).
2*j*(j + 1)/5
Let u(j) be the second derivative of j**7/105 + j**6/25 + 3*j**5/50 + j**4/30 - 6*j. Factor u(d).
2*d**2*(d + 1)**3/5
Let g = -10/93 - -2468/465. Let -6/5 - g*y - 8/5*y**2 = 0. Calculate y.
-3, -1/4
Let n(u) be the first derivative of -7*u**5/30 - u**4/6 + 3*u**2/2 + 1. Let f(x) be the second derivative of n(x). Factor f(t).
-2*t*(7*t + 2)
Let i be 3 + 11/(-4) + 1. Let m = 11 + -9. Factor i*l**m - 4*l + 7/4*l**3 + 1.
(l - 1)*(l + 2)*(7*l - 2)/4
Let m(g) be the second derivative of -g**5/30 - g**4/12 + g**2/6 + 4*g. Let m(q) = 0. What is q?
-1, 1/2
Let u(i) be the third derivative of -1/450*i**6 + 1/1575*i**7 + 0 - 1/450*i**5 + 0*i**3 + 0*i + 1/90*i**4 - 11*i**2. Find l such that u(l) = 0.
-1, 0, 1, 2
Let w(r) be the third derivative of r**10/15120 - r**8/560 - 2*r**7/315 - r**6/120 + 3*r**4/8 - 9*r**2. Let i(p) be the second derivative of w(p). Factor i(g).
2*g*(g - 3)*(g + 1)**3
Factor 7/2*n**2 - n**3 - 7/2*n + 1.
-(n - 2)*(n - 1)*(2*n - 1)/2
Suppose 4*i - 18 = -2*n, 3*i - 10*n = -7*n. Factor -9/2*v**4 + 0 + 0*v + 12*v**i - 6*v**2.
-3*v**2*(v - 2)*(3*v - 2)/2
Let t(v) be the second derivative of v**7/1260 + v**6/360 - v**5/30 + v**4/12 + v. Let x(m) be the third derivative of t(m). Factor x(f).
2*(f - 1)*(f + 2)
Let a(r) be the first derivative of -r**5/180 + r**4/72 - r**2/2 - 2. Let l(u) be the second derivative of a(u). Factor l(i).
-i*(i - 1)/3
Suppose -2*q = -5*q - 45. Let w be (-46)/q - (-6)/(-9). Factor 4*n**4 + 2/5*n + 24/5*n**3 + w*n**2 + 6/5*n**5 + 0.
2*n*(n + 1)**3*(3*n + 1)/5
Let b(g) be the second derivative of g**5/30 - g**4/9 - g**3/9 + 2*g**2/3 - 15*g. Factor b(i).
2*(i - 2)*(i - 1)*(i + 1)/3
Let k(y) be the first derivative of -y**6/360 + y**5/120 + 2*y**3/3 - 1. Let o(t) be the third derivative of k(t). Factor o(d).
-d*(d - 1)
Let b(z) be the second derivative of -1/12*z**4 + 0 + 9*z - 1/3*z**3 + 0*z**2 + 3/20*z**5. Factor b(j).
j*(j - 1)*(3*j + 2)
Let q(a) be the third derivative of -1/12*a**4 - 1/21*a**7 - a**2 + 0*a + 13/60*a**6 - 3/10*a**5 + 2/3*a**3 + 0. Factor q(o).
-2*(o - 1)**3*(5*o + 2)
Let g = 19 - 13. Let o be (-16)/(-90) + g/27. Factor o*t + 4/5 - 4/5*t**2 - 2/5*t**3.
-2*(t - 1)*(t + 1)*(t + 2)/5
Let t(c) be the second derivative of 1/165*c**6 + 1/11*c**2 + 4*c - 1/33*c**4 + 0 + 0*c**3 + 0*c**5. Let t(j) = 0. What is j?
-1, 1
Factor 82*l**4 - 169*l**4 + 85*l**4 - 3*l**3.
-l**3*(2*l + 3)
Suppose -3*n - 3 - 1 = 4*h, 3*n = 4*h - 20. Suppose -2*q**4 - 6*q**3 + 2*q**h - 8*q**2 - 3*q + q = 0. Calculate q.
-1, 0
Suppose 0 = -7*m + 8*m. Suppose m = 4*a - a. Determine t, given that a - 2/5*t**2 + 1/5*t = 0.
0, 1/2
Let f be (-2)/(-4) + 66/12. Let k be 3/18*32/f. Factor -8/9 + 8/9*o**3 - k*o + 2/3*o**2 + 2/9*o**4.
2*(o - 1)*(o + 1)*(o + 2)**2/9
Let r be 5*(3 - (-2 + -1)). Let v be 16 + -12 - r/8. Let -1/2*j - 1/4*j**2 - v = 0. Calculate j.
-1
Let x = 54 - 52. What is a in 1/4*a + 1/4*a**3 + 1/2*a**x + 0 = 0?
-1, 0
Let l = -9 - -13. Let g = l - 18/5. Factor -g - 2/5*d**2 + 4/5*d.
-2*(d - 1)**2/5
Factor -3/11*s**3 + 4/11*s**2 - 1/11*s + 0.
-s*(s - 1)*(3*s - 1)/11
Let 7/5*j + 2/5*j**2 - 1/5*j**3 + 4/5 = 0. Calculate j.
-1, 4
Let z(x) be the second derivative of x**7/126 + x**6/45 - x**5/30 - x**4/9 + x**3/18 + x**2/3 + 11*x. Suppose z(l) = 0. Calculate l.
-2, -1, 1
Let c(n) be the third derivative of -2*n**2 + 1/30*n**6 + 0*n + 1/105*n**7 + 0 - 1/6*n**4 - 1/3*n**3 + 0*n**5. Factor c(d).
2*(d - 1)*(d + 1)**3
Let j be 2 - -1*(1 + 1). Factor 4 + j*g**4 + 8*g**3 + 3*g - 4*g**5 + 0*g - 7*g + 0 - 8*g**2.
-4*(g - 1)**3*(g + 1)**2
Let q be 5/1 + -1*1. Let i(d) = -d**2 + 4*d + 2. Let b be i(q). Find x such that -x**4 + 5*x**4 + 5*x - 4*x**2 - 3*x - b*x**5 = 0.
-1, 0, 1
Let u(z) be the second derivative of 3*z - 2/3*z**3 + 0 - z**2 - 1/6*z**4. Solve u(h) = 0 for h.
-1
Let c(d) be the first derivative of -d**4 - 4*d**3/3 + 18. What is s in c(s) = 0?
-1, 0
Let z(o) be the first derivative of o**6/3 - 4*o**5/5 + o**4/2 + 3. What is r in z(r) = 0?
0, 1
Let x be 10/(-25) - (-2 + (-186)/(-135)). Factor -2/9*m**2 - 4/9*m**3 + 0*m - x*m**4 + 0.
-2*m**2*(m + 1)**2/9
Let k be (-4)/14 - 72/(-7). Let m be k/(-3)*6/(-4). Find l, given that -3*l**5 + 2*l**3 + 8*l**2 + 5 + 2*l**m + 7*l - 2*l**4 - 3 = 0.
-1, 2
Let y be (1 + 7/(-9))*(-206 + 207). Determine v, given that 4/9*v**5 + 2/3*v**3 - y*v - 2/9*v**2 + 10/9*v**4 + 0 = 0.
-1, 0, 1/2
Suppose -4*i + 4*t = 6*t + 2, -2*i - 3 = 3*t. Factor i - 2/5*v + 2/5*v**2.
2*v*(v - 1)/5
Let t(f) be the second derivative of 9*f**7/14 - 11*f**6/10 - 21*f**5/20 + 11*f**4/4 - f**3 + 12*f. Suppose t(a) = 0. What is a?
-1, 0, 2/9, 1
Let a(k) be the second derivative of k**9/22680 - k**8/10080 + 5*k**4/12 + k. Let u(m) be the third derivative of a(m). Factor u(i).
2*i**3*(i - 1)/3
Let w(m) be the second derivative of 2*m**7/21 - 2*m**6/15 - m**5/5 + m**4/3 - 6*m. Find t, given that w(t) = 0.
-1, 0, 1
Let h(r) = -r**3 + 7*r**2 - 7*r. Let n be h(6). Let m = -3 - n. Factor -4*i**4 + 0*i - 7*i**m + 3*i - 2*i - 2*i**2.
-i*(i + 1)**2*(4*i - 1)
Suppose 0 + 0*h + 5/3*h**2 - 5/6*h**4 + 5/6*h**3 = 0. What is h?
-1, 0, 2
Let w(o) = 45*o**3 + 228*o**2 - 260*o + 57. Let x(b) = b**2 - 1. Let z(t) = w(t) - 3*x(t). Factor z(s).
5*(s + 6)*(3*s - 2)*(3*s - 1)
Find w such that w - 4*w - 12 - 5*w + 4*w**2 = 0.
-1, 3
Let j(x) = 3*x**2 + 12*x. Let w be j(-4). Factor w*h + 3/2 - 3/2*h**2.
-3*(h - 1)*(h + 1)/2
Let v be (-2)/(-8) - (-13)/(-52). Let b(p) be the third derivative of v + 0*p**3 - 1/12*p**4 + 2*p**2 + 0*p + 1/20*p**5. Factor b(l).
l*(3*l - 2)
Let v be 160/(-120) + (-52)/(-21). Factor 10/7*a**2 - 16/7*a + v - 2/7*a**3.
-2*(a - 2)**2*(a - 1)/7
Let s = 118/7 + -562/35. Factor s - 2/5*c**2 + 2/5*c.
-2*(c - 2)*(c + 1)/5
Let o(c) = 3*c - 1. Let z be o(1). Let 2/9 - 2/9*s**3 + 2/9*s - 2/9*s**z = 0. What is s?
-1, 1
Let w be (0/(3 + -1))/(-1). Suppose 8 + w = g + 4*f, -11 = -4*g + 5*f. Factor 3 + 0*u**2 + u**2 - 4 - 3*u**3 + g*u**3 - u.
(u - 1)*(u + 1)**2
Let v = 2 - 36. Let x = -32 - v. Let -1/2 - s - 1/2*s**x = 0. Calculate s.
-1
Let j(f) be the second derivative of -1/15*f**4 - 7/30*f**3 + 5*f + 1/5*f**2 + 0. Factor j(v).
-(v + 2)*(4*v - 1)/5
Let w = 3/58 + 13/29. Determine s so that 5/2*s + 2*s**2 + w = 0.
-1, -1/4
Let l(i) = i**2 + i + 6. Let q be l(0). Factor 6*z**2 + 2 + 0 + q*z + 5*z - 3*z.
2*(z + 1)*(3*z + 1)
Suppose 0 = -5*f, l + 4*f - 2 = -0. Let -o**2 - o**2 - o**3 + 4 - l + 2*o - o**3 = 0. What is o?
-1, 1
Let f = -11 + -1. Let g be -2 + f*(-4)/18. Factor g*h**2 + 8/3*h + 8/3.
2*(h + 2)**2/3
Let i be -2*2/4 - -2. Factor -5*w**2 - 7*w**2 + 2 + 9*w + i.
-3*(w - 1)*(4*w + 1)
Let u(p) be the second derivative of -1/3*p**3 - 5/14*p**7 + 7/12*p**4 + 0 + 6*p + 1/4*p**5 + 0*p**2 - 19/30*p**6. Solve u(g) = 0 for g.
-1, 0, 1/3, 2/5
Let h be (1 - -1)/2 + -1. Let y(r) be the third derivative of -1/24*r**4 + 1/60*r**5 + 0*r**3 + h + 0*r - 2*r**2. What is t in y(t) = 0?
0, 1
Factor 32*p**3 - 12*p**3 - 20*p**3 - 2*p**4.
-2*p**4
Let i(p) be the second derivative of 0*p**2 + 3*p + 0 + 5/56*p**7 - 1/3*p**4 + 2/15*p**6 - 1/6*p**3 - 11/80*p**5. Solve i(o) = 0.
-1, -2/3, -2/5, 0, 1
Let q(s) = -s**3 - 4*s**2 + 0*s - 4*s**2 - 5*s - s - 11*s**4. Let u(f) = -10*f**4 - 2*f**3 - 7*f**2 - 5*f. Let x(j) = -5*q(j) + 6*u(j). Factor x(y).
-y**2*(y + 1)*(5*y + 2)
Suppose -8 = -5*k + 7. Factor k + 0*y**2 - 4*y + 3*y**2 + 4*y - 6*y.
3*(y - 1)**2
Let l = -1703/4 + 426. Factor l*p**3 - 1/2*p**2 - 1/4*p + 1/2.
(p - 2)*(p - 1)*(p + 1)/4
Let l = -12 - -11. Let b(o) = o + 1. Let n be b(l). Find x, given that 2/7*x**4 + 0*x**3 + 0 + n*x - 2/7*x**2 = 0.
-1, 0, 1
Let s(k) = k**5 - 6*k**4 + 5*k**3 + 2*k**2 - 2. Let d(j) = 3*j**5 - 24*j**4 + 21*j**3 + 9*j**2 - 9. Let r(c) = -2*d(c) + 9*s(c). Factor r(b).
3*b**3*(b - 1)**2
Let i