Let b(u) be the third derivative of -u**6/780 - 8*u**5/195 - 16*u**4/39 - u**2 - 21. Factor b(o).
-2*o*(o + 8)**2/13
Let q(o) be the first derivative of -o**3/6 - o**2/4 + 6. Factor q(c).
-c*(c + 1)/2
Let i be (-3879)/(-20790) + 2/(-11). Let r(a) be the third derivative of 0*a**4 + i*a**7 + 0*a**3 - 3*a**2 + 0 + 1/120*a**6 + 0*a + 0*a**5. Factor r(w).
w**3*(w + 1)
Let a = 27 + -24. Factor -5*o**2 + a*o**2 - 1 + 2 - o + o**3 + 1.
(o - 2)*(o - 1)*(o + 1)
Suppose -3*v + 2 = -10. Suppose -5*k + 6 = -v. What is d in -8*d + 1 - 2 + 4*d - 3*d**k = 0?
-1, -1/3
Let g = -443 - -443. Suppose -1/2*t**4 + 0*t**3 + 0*t**2 + 0 + g*t + 1/2*t**5 = 0. What is t?
0, 1
Factor 0 - 2/3*t**3 + 1/6*t**2 + 2/3*t**4 + 0*t.
t**2*(2*t - 1)**2/6
Suppose 0*i + i = 0. Find x such that i - 2/5*x - 2/5*x**2 = 0.
-1, 0
Suppose 0*f = -4*f + 36. Suppose -2 - 5*b**3 + 2 + 3 - 12*b**4 + f*b**2 + 12*b - 7*b**3 = 0. What is b?
-1, -1/2, 1
Let z = -4342/31 + 140. Let r = z + 35/62. Factor r*b**2 + 0 + 1/2*b**3 - 1/2*b**4 - 1/2*b.
-b*(b - 1)**2*(b + 1)/2
Let j(v) be the second derivative of 14*v**6/15 - 19*v**5/5 + 5*v**4 - 2*v**3/3 - 4*v**2 + v. Suppose j(t) = 0. What is t?
-2/7, 1
Solve -1/2*r + 0*r**2 + 1/4 + 1/2*r**3 - 1/4*r**4 = 0 for r.
-1, 1
Let x(y) = 4*y**2 + 2. Let j(s) = -7*s**2 + s - 4. Suppose -24 = 2*a + 2*u, 2*a - 46 = 6*a + 3*u. Let m(p) = a*x(p) - 6*j(p). Factor m(h).
2*(h - 2)*(h - 1)
Let x(g) be the first derivative of 0*g**3 - 1/60*g**6 - g - 1/6*g**4 + 1/10*g**5 + 0*g**2 + 2. Let z(f) be the first derivative of x(f). Solve z(m) = 0.
0, 2
Let c(i) = 3*i - 1. Let q be c(1). Suppose 0 = -3*z - 2*f + 2, q = -f. Let -2*k**3 + k**2 + k**z + 4*k**3 + 0*k**3 = 0. Calculate k.
-1, 0
Let g(y) be the first derivative of 1/2*y + 3/8*y**2 - 23/12*y**3 - 3/4*y**4 - 3. Let g(k) = 0. What is k?
-2, -1/4, 1/3
Let f(b) be the first derivative of 16/5*b + 12/5*b**2 + 4/5*b**3 + 5 + 1/10*b**4. Find n, given that f(n) = 0.
-2
Let w(p) = -p**2 + p. Let t be w(0). Determine r so that t + 1/4*r + 1/4*r**3 - 1/2*r**2 = 0.
0, 1
Let x(d) = -d**3 - 7*d**2 + 7*d - 4. Let s be x(-8). Let c(b) be the second derivative of 0 + 1/2*b**2 + 0*b**3 - b - 1/10*b**5 - 1/4*b**s. Factor c(v).
-(v + 1)**2*(2*v - 1)
Let g be 3 - 1*(-3 + 2). Factor 3*a**3 - 2*a**5 + a**3 - a**4 - a**g.
-2*a**3*(a - 1)*(a + 2)
Suppose 0 - 2 + 25*t**5 + 5*t**4 - 2 - 13*t - 41*t**3 + 29*t - t**2 = 0. What is t?
-1, 2/5, 1
Let t be (7/14)/((-1)/(-5)). Find d such that -t*d**2 - 1/2*d + 1 + 3/2*d**4 + 1/2*d**3 = 0.
-1, 2/3, 1
Let -65 + 5*q**2 + 5*q - 30*q + 85 = 0. Calculate q.
1, 4
Let d(y) be the third derivative of -1/180*y**6 + 0*y**3 - 1/90*y**5 - 2*y**2 + 0*y + 0 + 1/315*y**7 + 1/36*y**4. Suppose d(s) = 0. Calculate s.
-1, 0, 1
Let 13*i + 49 + 92*i**3 - 45 - 32*i**4 + 7*i - 84*i**2 = 0. What is i?
-1/8, 1
Let g = -24 + 24. Determine k so that 0 - 6/5*k**3 - 2/5*k**2 + g*k = 0.
-1/3, 0
Let q(m) be the first derivative of m**5/15 - m**4/12 - m**3/9 + m**2/6 + 11. What is x in q(x) = 0?
-1, 0, 1
Let d(l) = -4*l + 4*l**2 - 7*l - 6*l**2 - 3*l**2 - 7. Let t(b) = -3*b**2 - 6*b - 4. Let f(c) = 4*d(c) - 7*t(c). Factor f(k).
k*(k - 2)
Suppose 5*y = 14 + 21. Suppose -2*t + 3*j + y = 0, 3 = 4*t + 2*j + 3*j. Let 3*l + l**2 - 3*l**t - 56*l**3 + l = 0. Calculate l.
-2/7, 0, 1/4
Let i = -151759/1848 + 657/8. Let v(q) be the second derivative of 0*q**2 - i*q**7 - 1/165*q**6 + 1/66*q**4 + 0 + 1/110*q**5 - 4*q + 0*q**3. Factor v(a).
-2*a**2*(a - 1)*(a + 1)**2/11
Let r(h) be the third derivative of -h**7/210 + h**5/60 + 13*h**2. Suppose r(u) = 0. Calculate u.
-1, 0, 1
Solve -75*m**3 - 4*m**2 - 151*m**4 - 6*m**2 - 4*m**4 - 62*m**5 - 28*m**5 = 0 for m.
-1, -1/2, -2/9, 0
Suppose 5*l - 3 = -4*p - 1, 0 = -l + 5*p - 17. Let t be -4*(l + (-164)/(-88)). Determine x so that 0 - t*x**5 + 2/11*x**2 + 6/11*x**3 - 2/11*x**4 + 0*x = 0.
-1, -1/3, 0, 1
Suppose 0 = 3*r - 11 + 2. Factor -1 + f**2 - 1/2*f**r + 1/2*f.
-(f - 2)*(f - 1)*(f + 1)/2
Let c = 92 - 137. Let x be (4/(-10))/(36/c). Factor d - 1/2 - x*d**2.
-(d - 1)**2/2
Let n(b) be the second derivative of -1/14*b**4 + 0 + 4/21*b**3 - 1/105*b**6 + 4/7*b**2 - 2*b - 2/35*b**5. Let n(x) = 0. Calculate x.
-2, -1, 1
Let p(a) be the second derivative of a**7/525 + 7*a**6/600 + a**5/50 - a**4/120 - a**3/15 - 2*a**2 + 2*a. Let c(j) be the first derivative of p(j). Factor c(w).
(w + 1)**2*(w + 2)*(2*w - 1)/5
Let j(s) = s**2 - 6. Let a be j(3). Factor 0*x - 1/3*x**4 + 2*x**a - 3*x**2 + 0.
-x**2*(x - 3)**2/3
Let r be (3/2 - 1)/2. Let b(o) be the first derivative of -1/2*o**2 + 1 - 2/3*o**3 + 0*o - r*o**4. Factor b(z).
-z*(z + 1)**2
Factor 0*t - 2/11 + 2/11*t**2.
2*(t - 1)*(t + 1)/11
Let w = -16 + 116/7. Let 0 + 6/7*o**4 + w*o - 8/7*o**3 - 2/7*o**2 = 0. Calculate o.
-2/3, 0, 1
Let n = -3 + 3. Suppose 2*g + n = 4. Factor 0*u + 2/3 - 2/3*u**g.
-2*(u - 1)*(u + 1)/3
Let u = -2 - -3. Let c**3 + 11*c**2 + 5 + c**2 + 2*c**3 + u + 15*c = 0. What is c?
-2, -1
Let t = 11 + -7. Let x(l) = -19*l**3 + 13*l**2 - 9*l + 9. Let v(b) = 9*b**3 - 6*b**2 + 4*b - 4. Let d(m) = t*x(m) + 9*v(m). Factor d(u).
u**2*(5*u - 2)
Suppose -n - 45 = -2*u, 3*u = 6*u + n - 75. Let q be u/7 - (-18)/(-42). Find h, given that 0*h**4 + 0*h + 0 + 1/3*h**5 + 0*h**2 - 1/3*h**q = 0.
-1, 0, 1
Suppose i + 4*i = 55. Let v = i - 7. Factor -6*k - k**2 + v + 7*k**2 - 2*k**2 - 2*k**2.
2*(k - 2)*(k - 1)
Let z(m) be the third derivative of 4*m**2 - 1/28*m**4 + 2/21*m**3 + 0 + 1/210*m**5 + 0*m. Suppose z(o) = 0. Calculate o.
1, 2
Suppose 0 = -0*v - 2*v + 4*r - 4, 4*v + 4*r - 16 = 0. Determine d so that -d**3 + 0 + 2*d**v + 1/6*d**4 - 4/3*d = 0.
0, 2
Let o = -5 - -7. Let m be 24/4*1/2. Factor 0 + 6/7*g**m - 10/7*g**o + 4/7*g.
2*g*(g - 1)*(3*g - 2)/7
Let c = -5 + 3. Let s = c + 5. Factor -i**2 + 0*i**3 + 4*i - 2*i**s - i**2.
-2*i*(i - 1)*(i + 2)
Let f(h) be the second derivative of 0*h**2 + 0 + 1/4*h**4 + 1/14*h**7 + 0*h**3 + 4*h + 9/20*h**5 + 3/10*h**6. Find v, given that f(v) = 0.
-1, 0
Let s be ((-46)/1075)/(1/5). Let v = 8/43 - s. Factor 2/5*m**2 + 0*m - v.
2*(m - 1)*(m + 1)/5
Suppose 0 = h - 5*h + 16. Factor -3*o**2 + 4*o**3 - 2*o**4 + 0*o**2 + 5*o**4 + h*o**2.
o**2*(o + 1)*(3*o + 1)
Factor -1/6*y**4 + 0 + 1/6*y**2 + 1/3*y - 1/3*y**3.
-y*(y - 1)*(y + 1)*(y + 2)/6
Let o(f) be the third derivative of f**6/180 + 7*f**5/90 + f**4/6 - 12*f**2. Determine p so that o(p) = 0.
-6, -1, 0
Suppose -j + 0 + 2 = 0. Suppose 2*z + j*t - 2 = 0, t = 4*z + 6 - 30. Factor -12*b**4 - 4*b**z + 14*b**4 + 3*b**5.
-b**4*(b - 2)
Let -2 + 15*l**4 - 24*l + 6 + 48*l**2 - 40*l**3 - 3*l**4 = 0. What is l?
1/3, 1
Suppose -11*p + 27*p**2 - p + 12 - 30*p**2 + 2*p**3 + p**3 = 0. Calculate p.
-2, 1, 2
Let i = -233/5 + 47. Factor -i*s**2 + 4/5*s**3 + 0*s + 0 - 2/5*s**4.
-2*s**2*(s - 1)**2/5
Suppose -2*d + 8 = 0, 2*z = -z - 2*d + 20. Let 8*c**2 + 0 - 4*c + 1 - z*c**3 - 1 = 0. Calculate c.
0, 1
Suppose -5*n - 4 = -24. Suppose t - n*t = -12. Find h, given that -2*h**4 - t*h**3 + 4*h**2 - 6*h**2 + 0*h**3 = 0.
-1, 0
Let d(c) be the third derivative of c**7/660 + c**6/396 - c**5/330 + c**3/6 - 3*c**2. Let g(x) be the first derivative of d(x). Factor g(p).
2*p*(p + 1)*(7*p - 2)/11
Let n(j) = -j**4 - j**3 - 1. Let c(g) = -6*g**4 - 7*g**3 - 5. Let i(q) = 4*c(q) - 20*n(q). Suppose i(y) = 0. What is y?
-2, 0
Let g(i) be the first derivative of i**6/360 - i**5/120 - i**4/12 + 2*i**3/3 + 3. Let x(h) be the third derivative of g(h). Factor x(n).
(n - 2)*(n + 1)
Let c(b) = b**2 - 1. Let l be c(-1). Solve -2*h - 10*h**4 + l*h**5 + 8*h**5 - 6*h**3 + 11*h**2 - h**2 + 0*h = 0.
-1, 0, 1/4, 1
Let j(q) be the second derivative of -q**5/10 - q**4/2 - 2*q**3/3 + 29*q. Factor j(n).
-2*n*(n + 1)*(n + 2)
Let d(y) be the third derivative of 16*y**7/1155 - y**6/55 + y**4/132 + 10*y**2. Determine h, given that d(h) = 0.
-1/4, 0, 1/2
Factor 2/3*v**4 + 4*v**2 + 2/3 + 8/3*v + 8/3*v**3.
2*(v + 1)**4/3
Let m(l) be the second derivative of -l**5/110 - l**4/11 - 3*l**3/11 - 4*l**2/11 - 8*l. Factor m(p).
-2*(p + 1)**2*(p + 4)/11
Let l(u) = -6*u**3 - 7*u**2 + 6*u - 3. Let h(v) = v**3 + 1. Let b(o) = 12*h(o) + 4*l(o). Factor b(z).
-4*z*(z + 3)*(3*z - 2)
Factor 0*i + 0 - 2/9*i**2.
-2*i**2/9
Let f be (2/(-3))/((-4)/18). What is l in 3*l**2 - 2 - l**4 + l**f + 2*l**2 - 2*l**2 - l = 0?
-1, 1, 2
Let m(f) be the second derivative of -f**6/85 