**4.
5*(d + 1)*(3*d + 2)**3/2
Suppose -11*v + 3*a = -7*v, 3*v + a - 13 = 0. Factor -4/9*y**2 - 2/9*y**v + 0*y + 0.
-2*y**2*(y + 2)/9
Solve -2*r**2 + 0 + 2*r**4 - 4/5*r + 4/5*r**3 = 0.
-1, -2/5, 0, 1
Factor 0 - 13*k + 9*k**3 - 21*k**3 + 6 + 11*k**3 + 8*k**2.
-(k - 6)*(k - 1)**2
Let t(k) be the second derivative of k**4/12 - k**3/6 - k**2 - 7*k. Factor t(r).
(r - 2)*(r + 1)
Factor 0 + 1/2*s**3 + 0*s - s**2.
s**2*(s - 2)/2
Let f be (-1)/((-9)/((-18)/(-80))). Let q(j) be the second derivative of 0*j**3 + 0 + 0*j**4 + j + f*j**5 + 0*j**2. Suppose q(x) = 0. What is x?
0
Factor -1/3*k**2 + 1/3*k + 2/3.
-(k - 2)*(k + 1)/3
Let y = -141/2 + 427/6. Determine s so that -1/3*s**3 + y*s + 0 - 1/3*s**2 = 0.
-2, 0, 1
Let y be (-2)/3*(-27)/(-10). Let o = 11/5 + y. Let o*c**3 - 2/5 - 2/5*c + 2/5*c**2 = 0. Calculate c.
-1, 1
Let n be (2 - (2 - 1))*0/177. Let -1/3*a**2 - 1/3*a + n = 0. What is a?
-1, 0
Let b be (6/(-7))/((-26)/91). Let l(m) be the second derivative of 0*m**4 + m + 0 + 0*m**2 + 0*m**b - 1/25*m**5 - 7/75*m**6. Determine w so that l(w) = 0.
-2/7, 0
Suppose 0 = -2401*m + 2391*m + 20. Factor 5/3 + 10/3*q + 0*q**m - 10/3*q**3 - 5/3*q**4.
-5*(q - 1)*(q + 1)**3/3
Suppose -3*y + 5*p + 26 = 0, 5*p = -26 + 6. Let -9/2*s - 27/4 - 3/4*s**y = 0. Calculate s.
-3
Let y(c) be the third derivative of 0*c**3 + 1/15*c**6 + 0 - 1/18*c**4 - 1/45*c**7 - 1/30*c**5 - 2*c**2 + 0*c. Solve y(l) = 0 for l.
-2/7, 0, 1
Suppose 1 + 7*t**5 - 8*t**5 + 0*t - 2*t**3 + 2*t**2 + 3*t - 3*t**4 = 0. Calculate t.
-1, 1
Let r = 535 - 533. Factor -5*a**r + 7/4*a + 3/4.
-(4*a + 1)*(5*a - 3)/4
Factor 2/9*r - 4/9*r**2 + 0 + 2/9*r**3.
2*r*(r - 1)**2/9
Let d be 3/18*1*(0 - -2). Solve -d + 8/3*x**3 + 7/3*x**4 - 2/3*x + 2/3*x**5 + 2/3*x**2 = 0 for x.
-1, 1/2
Let c(v) be the third derivative of -v**5/48 - 5*v**4/48 - 5*v**3/24 - v**2 - v. Factor c(o).
-5*(o + 1)**2/4
Let c(w) = w**4 - 6*w**3 - 11*w**2 - 14*w - 2. Let p(o) = 6*o**4 - 30*o**3 - 54*o**2 - 71*o - 9. Let x(l) = 11*c(l) - 2*p(l). Factor x(h).
-(h + 1)**2*(h + 2)**2
Let p(k) be the third derivative of k**5/60 - k**3/6 + 5*k**2. Factor p(r).
(r - 1)*(r + 1)
Let p(f) be the first derivative of f**4/4 - 2*f**3 + 9*f**2/2 - 4*f - 5. Let v(j) be the first derivative of p(j). Factor v(o).
3*(o - 3)*(o - 1)
Factor -1/3*y**5 + 0 + 0*y - 1/3*y**3 + 2/3*y**4 + 0*y**2.
-y**3*(y - 1)**2/3
Let h be 2*1/(4 - 2). Let n be (4 - h)/(3/5). Suppose -8*m**3 + 7*m**3 - 2*m**2 - 3*m**n - 2*m**5 + 8*m**4 = 0. Calculate m.
-2/5, 0, 1
Let f(d) be the second derivative of d**5/50 - 4*d**3/15 - 13*d. Determine r, given that f(r) = 0.
-2, 0, 2
Let c(k) be the third derivative of k**6/1260 - k**3/6 + 2*k**2. Let z(g) be the first derivative of c(g). Find j, given that z(j) = 0.
0
Let g(f) be the first derivative of -9*f**4/16 - 5*f**3/4 + 4*f**2 - 3*f - 9. Find y such that g(y) = 0.
-3, 2/3
Let p(o) be the first derivative of 5 + 0*o**3 - 1/6*o**4 + 0*o + 0*o**2. What is y in p(y) = 0?
0
Let b(w) be the second derivative of 2*w + 1/9*w**4 + 0*w**2 - 1/15*w**5 + 0 + 0*w**3. Factor b(k).
-4*k**2*(k - 1)/3
Factor 6/5*g**4 - 2/5 + 6/5*g - 4/5*g**3 - 4/5*g**2 - 2/5*g**5.
-2*(g - 1)**4*(g + 1)/5
Let q = -20/37 - -359/185. Factor -8/5 - 26/5*w + q*w**2.
(w - 4)*(7*w + 2)/5
Let n(i) be the second derivative of -2/25*i**6 - 3*i - 1/5*i**4 + 9/50*i**5 + 1/70*i**7 + 1/10*i**3 + 0*i**2 + 0. Factor n(j).
3*j*(j - 1)**4/5
Suppose -3*z - 2*z + 55 = 0. Factor 2*r - 2*r + 12*r**2 - z*r**2.
r**2
Suppose 0 = -2*r + 10 - 2. Suppose 11 = -s - 3*v + r, -v = -3*s + 19. Determine c, given that -s*c + 2*c**3 - c**4 - c**2 + 5*c = 0.
0, 1
Let s(d) be the first derivative of 3 + 1/4*d**4 + 0*d + 0*d**2 - 1/3*d**3. Factor s(c).
c**2*(c - 1)
Suppose -w - 4*m = -155, -3*w + m + 140 = -338. Let z = w - 1111/7. Solve 0 + z*q**3 + 0*q**2 + 0*q - 2/7*q**4 = 0 for q.
0, 1
Let h(l) = l**5 + 4*l**4 - l**3 - 4*l**2. Let o(f) be the third derivative of -f**7/210 + f**5/60 - f**2. Let w(d) = h(d) + 3*o(d). Factor w(p).
p**2*(p - 1)*(p + 1)**2
Let h(f) be the third derivative of -f**5/120 - f**4/24 - f**3/12 - 3*f**2. Determine d, given that h(d) = 0.
-1
Suppose -2*b - z = -7, -8*b + 3*b - 5*z + 20 = 0. Factor 3*d**b + d + d**3 + 3*d**2 - 2*d**3.
d*(d + 1)*(2*d + 1)
Let a be (-4)/(64/20)*-4. Suppose -4*o + 19 = 3*u + 2*u, -3*u = -4*o - a. Factor 3/2 - 3/2*d**4 - u*d + 3*d**3 + 0*d**2.
-3*(d - 1)**3*(d + 1)/2
Let f(b) be the second derivative of b**5/12 + b**4/18 - 5*b**3/18 - b**2/3 + 10*b. Let f(g) = 0. What is g?
-1, -2/5, 1
Let f(t) be the first derivative of 1/4*t**4 - 3 - 1/18*t**6 + 0*t - 1/3*t**2 - 1/15*t**5 + 1/9*t**3. Solve f(j) = 0 for j.
-2, -1, 0, 1
Suppose 0 - 5/2*u**4 - 5/2*u**5 + 5/2*u**2 + 5/2*u**3 + 0*u = 0. Calculate u.
-1, 0, 1
Let y(p) = 2*p**2 + 15*p + 5. Let q be y(-10). Let i be (-4)/(-22) - (-815)/q. Factor 3*o + i*o**2 - 5 - 2*o + 3.
(3*o - 1)*(5*o + 2)
Determine z, given that 572/5*z**3 - 8/5 - 426/5*z**2 - 242/5*z**4 + 104/5*z = 0.
2/11, 1
Suppose -2*l = -6*l + 16. Let i(x) be the first derivative of 1/2*x**l + 0*x - 2/3*x**3 + 0*x**2 - 2. Solve i(f) = 0.
0, 1
Let t = 6 - 5. What is f in f - 3 - f**3 + t + 2 = 0?
-1, 0, 1
Let v(w) be the third derivative of w**7/735 - w**5/210 + 2*w**2. Determine f so that v(f) = 0.
-1, 0, 1
Let n = -31 - -36. Let g(q) be the second derivative of 5/18*q**4 - q + 2/9*q**3 + 0*q**2 + 0 - 7/30*q**n. Factor g(w).
-2*w*(w - 1)*(7*w + 2)/3
Let j(b) be the first derivative of -b**8/5040 + b**6/180 - b**5/45 + b**4/24 + 10*b**3/3 + 3. Let r(p) be the third derivative of j(p). Factor r(k).
-(k - 1)**3*(k + 3)/3
Let v be (-36)/(-6) - (3 + 0). Suppose v*u = 8*u. Find a, given that 2/3*a**2 - 2/3*a**4 - 2/3*a**3 + u + 2/3*a = 0.
-1, 0, 1
Let h be ((-1210)/(-297))/((-2)/(-87)). Let f = -177 + h. Suppose 0 + 0*a**2 + 2/9*a**3 - f*a = 0. Calculate a.
-1, 0, 1
Suppose -3*j = -0 - 12. Solve -6*q**2 - 9*q - 1 + j*q**2 - 5*q**2 - 1 = 0.
-1, -2/7
What is r in 0 + 0*r + 16*r**3 + 32/7*r**2 + 8/7*r**5 - 62/7*r**4 = 0?
-1/4, 0, 4
Let x = -55 + 57. Find h, given that -33/2*h**4 + 9/2*h**5 - 9*h**x + 21*h**3 + 3/2 - 3/2*h = 0.
-1/3, 1
Let i = -4 + 5. Find t, given that t - i + 13*t**2 - t - 12*t**2 = 0.
-1, 1
Let c(g) = 10*g**4 + 16*g**3 + 6*g**2 - 16*g - 22. Let r(d) = -d**4 + d**2 + 1. Let a(o) = -c(o) - 6*r(o). Factor a(i).
-4*(i - 1)*(i + 1)*(i + 2)**2
Let d(f) = -7*f**4 + 10*f**2 - 4*f - 7. Let k(z) = -48*z**4 + 69*z**2 - 27*z - 48. Let b(w) = 27*d(w) - 4*k(w). Solve b(a) = 0.
-1, 1
Factor 24/5*t + 2/5*t**3 - 16/5 - 12/5*t**2.
2*(t - 2)**3/5
Let f(y) be the third derivative of 1/4*y**4 - 1/20*y**5 + 0 - 1/20*y**6 + 0*y - y**2 + 1/70*y**7 + 0*y**3. Let f(d) = 0. What is d?
-1, 0, 1, 2
Let t(m) = m. Let c(g) = -g**2 + g - 1. Suppose -4*y = -2*s - 24, 1 + 5 = -3*s. Suppose -5*w = 2*x - 8, 2*w + 1 = y. Let p(q) = x*t(q) - c(q). Factor p(n).
(n - 1)**2
Let f(y) be the second derivative of 3*y + 1/8*y**4 - 3/2*y**2 + 0 + 0*y**3 - 1/20*y**5. Let x(o) be the first derivative of f(o). Factor x(r).
-3*r*(r - 1)
Let y = 12 - 7. Let i be y/((-5)/(-2)) + -2. Factor -3*f**4 - f**3 + f**4 + i*f**3 - f**5.
-f**3*(f + 1)**2
Let v = 12 - 10. Suppose -4*m - i = v*i - 5, -3*i - 13 = -5*m. Factor 0 - 2/5*g**m + 0*g + 2/5*g**3.
2*g**2*(g - 1)/5
Let s(p) be the third derivative of p**8/504 + 11*p**7/945 + p**6/36 + p**5/30 + p**4/54 - 3*p**2. Find m such that s(m) = 0.
-1, -2/3, 0
Let m(w) be the third derivative of 0*w**4 + 0*w**3 + 1/840*w**8 + 0*w**5 + 0 + 5*w**2 + 0*w**7 - 1/300*w**6 + 0*w. Factor m(p).
2*p**3*(p - 1)*(p + 1)/5
Factor -1/2*b**3 + 0*b + 0 + 1/4*b**4 + 1/4*b**2.
b**2*(b - 1)**2/4
Factor 0*i**3 - 3/2*i**4 + 0*i + 0 + 3/2*i**2.
-3*i**2*(i - 1)*(i + 1)/2
Let b(s) be the second derivative of -s**5/5 - 7*s**4/3 + 7*s. Find o such that b(o) = 0.
-7, 0
Let j(b) = -3*b**2 - 29*b + 10. Let y be j(-10). Factor y + 2/5*a**3 + 4/5*a + 6/5*a**2.
2*a*(a + 1)*(a + 2)/5
Let i(g) be the second derivative of g**2 - 1/3*g**3 - g**4 + 1/3*g**6 + 10*g + 1/7*g**7 - 1/5*g**5 + 0. Factor i(k).
2*(k - 1)*(k + 1)**3*(3*k - 1)
Let j(o) be the second derivative of -o**8/20160 - o**7/1890 - o**6/540 - o**4/3 - 5*o. Let f(r) be the third derivative of j(r). Factor f(y).
-y*(y + 2)**2/3
Suppose r = -2 + 7. Solve 1/2*c**3 + 2*c**2 - 9/4*c**4 - 3/2*c + c**r + 1/4 = 0.
-1, 1/4, 1
Let a(d) = -20*d**