-36) - 0/3. Let h(c) be the first derivative of 0*c + a*c**3 + 0*c**2 - 1. Factor h(v).
v**2/3
Let s(t) be the third derivative of -t**8/100800 + t**7/8400 - t**6/1800 + t**5/15 + 2*t**2. Let j(f) be the third derivative of s(f). Factor j(o).
-(o - 2)*(o - 1)/5
Let u(n) = 0 + 0 + 7 + n. Let g be u(-7). Find f, given that 1/3*f**3 + g*f + 0 + 1/3*f**2 = 0.
-1, 0
Let o(u) be the first derivative of u**4/6 + 2*u**3/9 - u**2/3 - 2*u/3 + 19. Factor o(y).
2*(y - 1)*(y + 1)**2/3
Let u(v) be the third derivative of v**6/40 + v**5/20 - v**4/2 - 2*v**3 + 7*v**2. Solve u(t) = 0 for t.
-2, -1, 2
Suppose 2*l - 2*n - n = 23, -5*l = 4*n. Let s(m) be the first derivative of 1 - 2/3*m**3 + m**2 - 1/2*m**l + 2*m. Factor s(i).
-2*(i - 1)*(i + 1)**2
Let a(b) be the second derivative of -4*b**7/63 - 11*b**6/45 - b**5/6 + b**4/9 + 32*b. What is m in a(m) = 0?
-2, -1, 0, 1/4
Suppose -1/2*a + 0 - 1/2*a**2 = 0. Calculate a.
-1, 0
Suppose p - 4*c + 14 = -p, c = 5. Let -37 + 37 + t**p = 0. Calculate t.
0
Let t be 4/26 + -2 + 2. Solve 0*a + 0*a**2 + 6/13*a**3 - t*a**5 + 0 - 4/13*a**4 = 0 for a.
-3, 0, 1
Let f(h) be the second derivative of -h**8/840 - 2*h**7/525 + h**5/75 + h**4/60 + h**2 + 5*h. Let l(y) be the first derivative of f(y). Factor l(d).
-2*d*(d - 1)*(d + 1)**3/5
Let j = -39 - -39. Let n(s) be the second derivative of 5/12*s**4 + j + 2*s**2 + 1/20*s**5 + 4/3*s**3 - 2*s. Factor n(t).
(t + 1)*(t + 2)**2
Factor -1/3*z + 0 + 1/6*z**3 - 1/6*z**2.
z*(z - 2)*(z + 1)/6
Factor -42*u - 4*u**4 + 569*u**3 - 36*u**2 - 589*u**3 - 8 + 14*u.
-4*(u + 1)**3*(u + 2)
Find g, given that -1/3*g**2 - 1/3*g**5 + 1/3*g - 4/3*g**3 + 1/6 - 7/6*g**4 = 0.
-1, 1/2
Let j(b) be the third derivative of b**6/300 - b**4/60 + 16*b**2. Factor j(s).
2*s*(s - 1)*(s + 1)/5
Let c = 1052/3 + -350. Factor -c*w - 1/3*w**2 - 1/3.
-(w + 1)**2/3
Let b be (2/(-2))/(-4 - (-4 - -4)). Determine h, given that b*h**4 + 1/2*h**3 + 0 + 0*h + 1/4*h**2 = 0.
-1, 0
Let f = 670515176/595 + -1126916. Let i = 2/85 + f. Factor 2/7*s**3 - 2/7*s**4 + 0 - i*s + 2/7*s**2.
-2*s*(s - 1)**2*(s + 1)/7
Let j be (-1)/(2 - (-26)/(-12)). Let s = 5 + j. Solve 2*c - 8*c**5 + s*c**3 + 2*c**5 - 2*c**4 + 12*c**2 + 24*c**4 - 2 - 39*c**3 = 0.
-1/3, 1
Suppose 0 = -0*d - 2*d + 4. Let n = 33 - 17. Solve 10*u**2 + d*u**3 + 1 + 6 + 0 + 1 + n*u = 0.
-2, -1
Let z(u) be the first derivative of 6*u**5/5 + 21*u**4/4 + 9*u**3 + 15*u**2/2 + 3*u + 3. Determine d so that z(d) = 0.
-1, -1/2
Let l(t) be the second derivative of 1/54*t**4 + 0*t**3 - 1/135*t**6 + 1/90*t**5 + 0 + 0*t**2 + 2*t - 1/189*t**7. Suppose l(x) = 0. Calculate x.
-1, 0, 1
Let w(o) be the second derivative of -3*o + 0*o**4 + 0 + 1/10*o**5 + 0*o**2 + 1/30*o**6 + 0*o**3 - 1/42*o**7. Factor w(x).
-x**3*(x - 2)*(x + 1)
Suppose 7*n + 12 = 11*n. Suppose -2*f - 4/7*f**2 + 4/7 + 2*f**n = 0. Calculate f.
-1, 2/7, 1
Factor -2/5*g**2 + 8*g - 40.
-2*(g - 10)**2/5
Let s = 8 + 47. Let l be s/22*(-6)/(-5). Factor 2/3 - 2/3*q**l + 8/3*q**2 + 1/3*q**5 - 7/3*q - 2/3*q**4.
(q - 1)**4*(q + 2)/3
Let s be (-2 + (-6)/2)*-1. Suppose 2*a - 3 = -0*a - 5*x, -s*a + 4*x + 24 = 0. Find g such that -2*g - 16/3*g**a + 8*g**3 - 1/3*g**2 - 1/3 = 0.
-1/4, 1
Let c(l) be the second derivative of -1/2*l**3 - 3/4*l**4 + 1/10*l**6 + 3/20*l**5 + 0 - 3*l + 3*l**2. Let c(k) = 0. What is k?
-2, -1, 1
Let k(b) = b**3 + 13*b**2 - 14*b + 6. Let y be k(-14). Factor -2 + 2*j + 0*j - 2*j**2 + y.
-2*(j - 2)*(j + 1)
Let z(h) be the second derivative of 1/75*h**6 + 1/15*h**3 + h - 1/50*h**5 + 0 + 0*h**2 - 1/30*h**4. Suppose z(k) = 0. Calculate k.
-1, 0, 1
Let d(i) be the second derivative of i**6/60 - i**5/30 - i**2/2 + 2*i. Let n(y) be the first derivative of d(y). Factor n(o).
2*o**2*(o - 1)
Let l(p) be the second derivative of 0 + 0*p**2 + 1/30*p**4 - 3/50*p**5 + 0*p**3 - 6*p. Factor l(i).
-2*i**2*(3*i - 1)/5
Let h(f) be the second derivative of -f**7/315 + f**6/225 + f**5/25 + 13*f. Factor h(b).
-2*b**3*(b - 3)*(b + 2)/15
Let s(w) be the first derivative of -3/2*w**3 - 3/8*w**4 - 3/2*w - 2 - 9/4*w**2. Factor s(n).
-3*(n + 1)**3/2
Let o(j) = 6*j**3 + 3*j**2 - 11. Let k(z) = -z**3 + 1. Let u(i) = 28*k(i) + 4*o(i). Factor u(f).
-4*(f - 2)**2*(f + 1)
Factor 4/5*g**3 - 4/5*g - 8/5 + 8/5*g**2.
4*(g - 1)*(g + 1)*(g + 2)/5
Let t = 16 - 14. Suppose 0 = -5*n - i - 10 + 24, 4*n + 5*i = 7. Find o, given that 2*o + o**3 - 1 - 3*o**3 - t*o**2 + n = 0.
-1, 1
Factor 32/7*m + 16/7 + 20/7*m**2 + 4/7*m**3.
4*(m + 1)*(m + 2)**2/7
Let n(h) = -5*h**4 + 3*h**3 + h**2 - 3*h - 8. Let v(p) = -14*p**4 + 9*p**3 + 3*p**2 - 9*p - 23. Let j(d) = 17*n(d) - 6*v(d). Let j(c) = 0. What is c?
-2, -1, 1
Suppose 0 = 6*v + 3*v. Determine f so that 0 - 1/4*f**2 + 0*f**3 + 1/4*f**4 + v*f = 0.
-1, 0, 1
Suppose -4*u + 4*q = -44, -27 = -0*u - 3*u + q. Suppose -p = 2*p - i - 2, 3*p + u = -4*i. Factor 2 + p*b**2 - 2 + 2*b**2.
2*b**2
Let m(b) = b**3 + 2*b**2 - b. Let j be m(1). Suppose 2 + 2*p**j + 2 - 6 = 0. What is p?
-1, 1
Let h(j) be the third derivative of -1/120*j**6 + 0*j**4 - 1/420*j**7 + 0*j**3 + 0*j - 1/120*j**5 + 0 + 5*j**2. Determine k so that h(k) = 0.
-1, 0
Let d = -54 + 54. Let n(h) be the third derivative of 0 + 0*h**4 + 0*h**3 - 1/280*h**7 + d*h + 0*h**6 - 3*h**2 + 0*h**5 - 1/448*h**8. Factor n(q).
-3*q**4*(q + 1)/4
Let n(y) be the third derivative of 1/24*y**4 - 1/60*y**5 + 1/6*y**3 + 0*y + 0 + 2*y**2. Let l(i) = 3*i**2 - 2*i - 5. Let s(g) = l(g) + 4*n(g). Factor s(w).
-(w - 1)**2
Let k(x) = x**2 - 5*x + 1. Let f be k(6). Let d = -5 + f. Factor 0*u**2 + 6*u**2 - d*u**2 + 2 - 6*u.
2*(u - 1)*(2*u - 1)
Let n = -3 - -6. Factor n*q**2 + 2 - 7*q**2 - 2*q**3 + 2*q + 2.
-2*(q - 1)*(q + 1)*(q + 2)
Let f(r) = -5*r**4 + 21*r**3 - 11*r**2 - 21*r + 5. Let i(o) = o**4 - 4*o**3 + 2*o**2 + 4*o - 1. Let q(a) = -2*f(a) - 11*i(a). Determine t so that q(t) = 0.
-1, 1
Suppose -36 = -4*h - 36. Factor h + 0*d + 2/7*d**2 - 6/7*d**4 - 4/7*d**3.
-2*d**2*(d + 1)*(3*d - 1)/7
Let c be 2 - 1*(-1 - -1). Let t = 5 - c. Determine b, given that -t*b**3 + b**3 + 2*b**5 + 2*b**4 - b**5 + b**5 - 2*b**2 = 0.
-1, 0, 1
Let x = 24 + -93/4. Factor x*w**2 - 3/4*w**3 - 1/4*w + 0 + 1/4*w**4.
w*(w - 1)**3/4
Let l(q) be the third derivative of q**8/112 - 3*q**7/70 + q**6/20 + q**5/10 - 3*q**4/8 + q**3/2 - 17*q**2. Factor l(u).
3*(u - 1)**4*(u + 1)
Suppose 5*u - 861 - 469 = 5*p, 517 = 2*u - 5*p. Let i = -1893/7 + u. Factor -2/7*j**2 - i*j + 0.
-2*j*(j + 2)/7
Factor 3/4*j - 9/4 + 5/4*j**2 + 1/4*j**3.
(j - 1)*(j + 3)**2/4
Let l(f) be the second derivative of -2/45*f**6 + 4*f + 0*f**2 - 1/30*f**5 + 1/9*f**4 + 0*f**3 + 1/63*f**7 + 0. Solve l(v) = 0.
-1, 0, 1, 2
Let k(i) be the first derivative of 0*i + 3/2*i**2 - 3/8*i**4 + 1/2*i**3 - 1. Find t such that k(t) = 0.
-1, 0, 2
Let p(l) = l**3 + 4. Let o(m) = -2*m**3 - 5. Let k(u) = -4*o(u) - 5*p(u). Find t such that k(t) = 0.
0
Let x = 88 - 351/4. Factor -m**4 - 3/2*m**3 - x*m + 0 - m**2 - 1/4*m**5.
-m*(m + 1)**4/4
Suppose u = -2*u + 3. Let o = u - -1. Solve -z - o - 3*z**2 + 2 - 2*z**3 = 0 for z.
-1, -1/2, 0
Let k(n) be the second derivative of -n**6/60 - 2*n**2 + n. Let r(z) be the first derivative of k(z). Factor r(l).
-2*l**3
Let u(g) be the third derivative of 0*g**5 + 0*g**4 + 0*g**7 - 1/360*g**6 + 1/1008*g**8 + 0 - 3*g**2 + 0*g + 0*g**3. Factor u(d).
d**3*(d - 1)*(d + 1)/3
Suppose 0 = -q + 2*t, 4*q = -0*q - 3*t - 11. Let h be ((-6)/(-10))/(q/(-10)). Factor 1/3*i**h + 1/3*i**4 + 0 + 0*i + 0*i**2.
i**3*(i + 1)/3
Let o(v) be the first derivative of -7*v**5/80 + v**4/3 - v**3/6 - 4*v + 1. Let r(j) be the first derivative of o(j). Let r(y) = 0. Calculate y.
0, 2/7, 2
Let t = 14 - 9. Factor p**3 - 7*p + 6*p + p**3 - p**t.
-p*(p - 1)**2*(p + 1)**2
Let o be (-418)/(-1320) - 2/(-24). Factor -o*k**4 + 0 - 2/5*k**3 + 2/5*k**2 + 2/5*k.
-2*k*(k - 1)*(k + 1)**2/5
Let s(f) be the first derivative of 1 + 1/2*f**2 + 1/6*f**3 + 0*f. Determine x, given that s(x) = 0.
-2, 0
Let s(a) be the first derivative of -3*a**4/8 + a**3/3 + 3*a**2/4 - a + 19. Suppose s(k) = 0. What is k?
-1, 2/3, 1
Suppose 34*x + 0 = 68. Determine a so that 0 + 0*a**x - 1/3*a**3 + 1/3*a = 0.
-1, 0, 1
Let r be 17/14 + (-150)/(-525). Factor r - 2*s + 1/2*s**2.
(s - 3)*(s - 1)/2
Let a(b) = -10*b**3 + 12*b**2 + 10*b. Let r(z) = 4*z**3 - 5*z**2 - 4*z. Let n be (-2 + 5/2)*-10. Let o(q) = n*a(q) - 12*r(q). Fa