00 + x**5/20 + x**2. Let o(q) be the third derivative of b(q). Factor o(l).
-2*l*(l - 1)*(l + 1)/5
Let f(b) be the second derivative of -b**3/6 + 5*b**2/2 - 3*b. Let g be f(3). Suppose -4*c - 6*c**3 - g*c**2 + 4*c**3 + 4*c**3 = 0. What is c?
-1, 0, 2
Let w(t) = -8*t**3 - 18*t**2 - 7*t + 3. Let j(v) = -12*v**3 - 27*v**2 - 11*v + 4. Let s be 4 + (0 + -1)/(-1). Let i(a) = s*j(a) - 7*w(a). Factor i(p).
-(p + 1)**2*(4*p + 1)
Let k(a) = 3. Let c(m) = -4*m**3 + 5*m**2 + 7*m + 10. Let i(y) = -3*c(y) + 12*k(y). Factor i(p).
3*(p - 2)*(p + 1)*(4*p - 1)
Let q(j) be the second derivative of j**7/105 - 4*j**6/75 + 3*j**5/25 - 2*j**4/15 + j**3/15 + 4*j. Determine h so that q(h) = 0.
0, 1
Let x = -61/14 + 34/7. Factor -o**3 - 1/2 + x*o**4 + 0*o**2 + o.
(o - 1)**3*(o + 1)/2
Let c(x) be the third derivative of x**5/20 + x**4/2 + 3*x**3/2 - 11*x**2. Factor c(u).
3*(u + 1)*(u + 3)
Solve 17*j**3 + 4 - 10*j**2 - 12*j**3 + 6 - 5*j = 0.
-1, 1, 2
Let z(w) be the first derivative of w**5 + 25*w**4/4 + 10*w**3 - 10*w**2 - 40*w + 26. Suppose z(u) = 0. Calculate u.
-2, 1
Find g, given that -2/7*g**5 - 8/7*g + 0 + 10/7*g**3 - 6/7*g**2 + 6/7*g**4 = 0.
-1, 0, 1, 4
Let q(x) be the third derivative of 0*x**4 + 0*x**3 - 4/105*x**7 + 0 + 2*x**2 + 0*x + 1/20*x**6 + 1/30*x**5. Factor q(l).
-2*l**2*(l - 1)*(4*l + 1)
Let g be (-6)/(-2) - 0/3. Factor -10*v + 0*v**4 - 4 + 2*v**4 - 6*v**2 - g*v**3 + 5*v**3.
2*(v - 2)*(v + 1)**3
Let t(s) be the third derivative of s**6/120 + s**5/20 - s**4/24 - s**3/2 + 63*s**2. Factor t(j).
(j - 1)*(j + 1)*(j + 3)
Let y be 0/4*(-2 + 1). Suppose 0 = d - y*d. Factor -2/7*o**5 - 2/7*o**2 - 6/7*o**4 - 6/7*o**3 + d*o + 0.
-2*o**2*(o + 1)**3/7
Let a(d) = 7*d**2 + 2*d - 1. Let t be a(1). Let s(n) = 2*n - 6. Let m be s(t). Factor k**2 + m + 7*k - 1 - k.
(k + 3)**2
Let j(l) = -l**2 - l + 1. Let f be j(0). Factor 0*c**2 - c**2 + f - 3*c - c**2 + 4*c**2.
(c - 1)*(2*c - 1)
Let r(y) be the second derivative of y**9/3024 - y**8/1680 - y**7/840 + y**6/360 + y**3/2 + 2*y. Let l(j) be the second derivative of r(j). Factor l(q).
q**2*(q - 1)**2*(q + 1)
Let m(d) be the second derivative of d**4/18 + d**3/9 + 18*d. Solve m(y) = 0.
-1, 0
Let s(k) be the third derivative of k**8/840 + k**7/105 + k**6/30 + k**5/15 + k**4/12 + k**3/15 - 2*k**2. Factor s(p).
2*(p + 1)**5/5
Let r(v) be the third derivative of v**6/24 - v**5/3 - 25*v**4/24 - 33*v**2. Factor r(b).
5*b*(b - 5)*(b + 1)
Let c be 2/4*(2 - 2). Suppose -z - 4*z = c. Factor 21/2*h**2 + 15/2*h**3 + 3*h + z.
3*h*(h + 1)*(5*h + 2)/2
Let d be 70/30 - 2/6. Find v, given that -5*v**d - 4 + v**3 - v + 0 + 9*v = 0.
1, 2
Suppose u - 4*j = -3*j, 0 = -2*j. Suppose x + 3 = -3*g, u = -g + 2*g + 1. Find m, given that 0*m + 0 + 1/3*m**3 + x*m**2 = 0.
0
Let o(x) be the first derivative of -2*x**3/3 - 4. Suppose o(l) = 0. What is l?
0
Let b(v) = -v**3 + v**2. Suppose 6 = -2*a + 4*a. Let d(r) = 9*r**4 - 24*r**3 + 19*r**2 - 4*r. Let x(p) = a*b(p) - d(p). Factor x(s).
-s*(s - 1)*(3*s - 2)**2
Let l(k) be the third derivative of 0*k - 3*k**2 + 1/6*k**4 + 0 - 1/60*k**6 + 0*k**3 - 1/35*k**7 + 1/10*k**5 - 1/168*k**8. Solve l(y) = 0.
-2, -1, 0, 1
Let z(r) be the second derivative of 1/6*r**3 + 1/60*r**5 + 1/12*r**4 + r**2 + 0 + 2*r. Let a(h) be the first derivative of z(h). Factor a(u).
(u + 1)**2
Suppose -5*s = -6*a + a - 20, -3*s = 4*a + 16. Suppose s = 4*o - 4 - 4. Factor 5*i**o + i + i**2 - 4*i**2 + i.
2*i*(i + 1)
Let l(d) be the third derivative of -d**6/240 - 3*d**5/160 + d**4/16 - 7*d**3/6 + 3*d**2. Let q(s) be the first derivative of l(s). Factor q(p).
-3*(p + 2)*(2*p - 1)/4
Let f = -160 - -162. Factor -2/5*s**f + 0 + 2/5*s.
-2*s*(s - 1)/5
Suppose 3*n = 12, 0 = b + 2*n - 5 - 5. Determine t so that -3*t**4 - 3*t**5 + 2*t**5 + b*t**2 + t**4 + t = 0.
-1, 0, 1
Let r(g) = 3*g**2 - 3*g - 3. Let c(m) = m**2 - 2*m - 2. Let t(v) = 5*c(v) - 2*r(v). Determine k so that t(k) = 0.
-2
Let u(t) be the third derivative of 0 - 1/210*t**7 - 6*t**2 + 1/18*t**3 + 1/1008*t**8 + 1/90*t**5 + 1/180*t**6 + 0*t - 1/24*t**4. Factor u(h).
(h - 1)**4*(h + 1)/3
Let c(h) = -3*h**3 + 3*h**2 + 21*h - 5. Let m(o) = -5*o**3 + 5*o**2 + 31*o - 7. Let n(f) = -7*c(f) + 5*m(f). Find a such that n(a) = 0.
-1, 0, 2
Let g(a) be the third derivative of 7*a**5/240 - 5*a**4/96 - a**3/12 - 6*a**2. Solve g(c) = 0.
-2/7, 1
Let y(v) be the first derivative of v**6/480 - v**5/240 - v**2/2 + 2. Let b(f) be the second derivative of y(f). Factor b(m).
m**2*(m - 1)/4
Let p(h) = -h**4 - h**3 - h**2 - h + 1. Let d(f) = 2*f**5 - 6*f**4 - 10*f**3 - 14*f**2 - 12*f + 10. Let n(w) = -2*d(w) + 20*p(w). Factor n(l).
-4*l*(l - 1)*(l + 1)**3
Let b = -6 - -12. Factor -3*u**3 + 0*u**2 + b - 4 - 2*u**2 + 4*u - u**3.
-2*(u - 1)*(u + 1)*(2*u + 1)
What is c in 0 - 2/3*c**2 + 4/9*c = 0?
0, 2/3
Let v = 8 - -1. Solve -v*i - 3*i**2 + 0*i**2 + 0*i + 3*i = 0 for i.
-2, 0
Factor -2 + 1/6*q**2 + 2/3*q.
(q - 2)*(q + 6)/6
Let n = 100 + -896/9. Factor 2/9 - 2/9*h**4 + 4/9*h**3 + 0*h**2 - n*h.
-2*(h - 1)**3*(h + 1)/9
Let v(c) = c - c**3 + 2*c**3 - 2*c**3 + 11 - 8*c**2. Let j be v(-8). Factor w**4 - j*w**3 + w**5 + 0*w**3 + 1 + 0*w**3 - 2*w**2 + w + w**3.
(w - 1)**2*(w + 1)**3
Let v = 237 - 233. Find i such that 0*i**3 + 0*i**2 + 1/2*i**5 + 0*i + 0 - 1/2*i**v = 0.
0, 1
Determine y so that -2/3*y**3 - 10/3*y**2 + 2*y**5 + 10/3*y**4 + 0 - 4/3*y = 0.
-1, -2/3, 0, 1
Let j(m) be the first derivative of -1/22*m**4 + 0*m**2 + 4/33*m**3 + 2 + 0*m. Find u such that j(u) = 0.
0, 2
Suppose 0 = -5*q - 13 + 38. Let j(t) be the first derivative of 0*t**2 - t + 0*t**4 - 1/5*t**q + 2 + 2/3*t**3. Suppose j(a) = 0. Calculate a.
-1, 1
Let u = 1/82 + 317/902. Solve 2/11*c**5 + u*c - 6/11*c**3 - 2/11*c**2 + 0 + 2/11*c**4 = 0 for c.
-2, -1, 0, 1
Factor 3/2*u**4 + 6*u - 4 - 11/2*u**3 + 3*u**2.
(u - 2)**2*(u + 1)*(3*u - 2)/2
Suppose 5*x = 64 - 44. Factor 0*s**3 + 4/7*s**2 + 2/7*s**5 - 2/7*s - 4/7*s**x + 0.
2*s*(s - 1)**3*(s + 1)/7
Let m(n) be the second derivative of -2*n**6/45 + 2*n**5/15 - 8*n. Solve m(f) = 0.
0, 2
Suppose 3*y**4 + 0*y**4 + 37*y**3 - 34*y**3 = 0. Calculate y.
-1, 0
Find m, given that 1/5*m**3 - 1/5*m**2 - 1/5*m + 1/5 = 0.
-1, 1
Let n be ((-3)/(-18))/(1/6). Let s = 6 - n. Factor -v**4 + 19*v**s + 3*v**3 - v**3 - 20*v**5.
-v**3*(v - 1)*(v + 2)
Let a = 2 + 0. Suppose -5*s - a + 12 = 0. What is v in 2/9 - 2/3*v - 2/9*v**3 + 2/3*v**s = 0?
1
Solve -4/3 + 4/3*k**3 + 4/3*k**2 - 4/3*k = 0.
-1, 1
Let q(x) = -x + 8. Let s be q(4). Suppose 4*f - 8 = s. Determine n, given that 2*n**f + 2*n**3 - 2*n**3 - 2*n = 0.
-1, 0, 1
Let c(m) = 3*m + 2. Suppose 0*q + 2*q = 0. Let g be c(q). Solve -f - 1/2*f**g - 1/2 = 0.
-1
Factor 45*t - 24*t**2 - 2*t**3 - 20 + 6*t**3 + t**3 - 6*t**2.
5*(t - 4)*(t - 1)**2
Let y(d) be the third derivative of d**5/60 + d**4/12 + d**3/6 - 6*d**2. Factor y(q).
(q + 1)**2
Let p(d) be the second derivative of -d**6/1620 + d**5/540 + d**3/2 - 3*d. Let o(a) be the second derivative of p(a). What is x in o(x) = 0?
0, 1
Suppose l = 2*a - 0*a - 1, 5*a + 5 = 5*l. Suppose 0 = -2*j + l*h - 8, j = -j - 4*h + 20. Factor 1/2 - 3/4*o + 1/4*o**j.
(o - 2)*(o - 1)/4
Let i(a) be the second derivative of 49*a**6/10 + 21*a**5/5 - 45*a**4/4 - 14*a**3 - 6*a**2 - 69*a. Factor i(p).
3*(p - 1)*(p + 1)*(7*p + 2)**2
Let z be 1/(-8)*6 - (1 + -2). Let s(r) be the first derivative of 3 + 3/4*r**2 + 3/4*r + z*r**3. Let s(q) = 0. Calculate q.
-1
Let t(d) be the first derivative of -d**4/12 - d**3/3 - d**2/2 + 6*d - 3. Let w(v) be the first derivative of t(v). Determine s, given that w(s) = 0.
-1
Let o(c) be the third derivative of -c**9/1680 + c**8/2240 + c**7/420 + c**4/24 + 5*c**2. Let y(m) be the second derivative of o(m). Factor y(l).
-3*l**2*(l - 1)*(3*l + 2)
Let h(l) = 22*l**3 - 22*l**2 - 12*l + 12. Let c(z) = -7*z**3 + 7*z**2 + 4*z - 4. Let y(k) = -10*c(k) - 3*h(k). Solve y(p) = 0.
-1, 1
Let p(b) be the first derivative of 0*b**2 - 1 + 0*b - 2/9*b**3 + 2/15*b**5 + 0*b**4. Determine q so that p(q) = 0.
-1, 0, 1
Let j = -95/4 + 24. Factor -1/4*b + j*b**2 + 1/4*b**3 - 1/4.
(b - 1)*(b + 1)**2/4
Let o(f) = f. Let r(q) = 4*q**2 - 8*q. Let s(z) = 20*o(z) + r(z). Let s(j) = 0. Calculate j.
-3, 0
Let c(r) be the second derivative of 1/20*r**4 + 1/10*r**3 + 0 - 3/100*r**5 + 3*r - 3/10*r**2. Factor c(k).
-3*(k - 1)**2*(k + 1)/5
Let i(f) be the second 