t a(l) = -l - 2. Let q be a(-2). Factor -3*i**2 + q*i**4 - i**5 + y - 2*i**3 - 3*i**4 - 3*i + 6*i + 5*i**2.
-(i - 1)*(i + 1)**4
Let h(b) be the third derivative of -2*b**2 + 3/32*b**4 + 0 + 0*b**3 + 0*b - 1/40*b**5. Factor h(f).
-3*f*(2*f - 3)/4
Find a such that 0 - 2/9*a - 2/9*a**2 = 0.
-1, 0
Let j = -6 - -10. What is d in -4*d**2 + 18 - 8*d**3 - d**4 + 24*d + 5*d**j - 2*d**4 = 0?
-1, 3
Let o = 7 - 4. Let n(z) = -7*z**2 + 5*z. Let b(w) = -4*w**2 + 3*w. Let j(s) = o*n(s) - 5*b(s). Factor j(a).
-a**2
Determine d, given that -2/3*d**2 - 4*d - 10/3 = 0.
-5, -1
Find h, given that -48/7*h**2 - 4/7 - 18/7*h**3 - 26/7*h = 0.
-2, -1/3
Let n(k) be the second derivative of 0 - 1/27*k**3 + k + 1/27*k**4 + 1/90*k**5 - 2/9*k**2. Factor n(l).
2*(l - 1)*(l + 1)*(l + 2)/9
Let l = 4 - 2. Suppose 0 = 3*w - r - 1, r = -2 + 1. Factor 1/2*n**3 + 0*n + 0*n**l + w.
n**3/2
Let l be 150/(-20)*(-8)/54. Factor -14/9*o**3 - l*o**2 + 4/9*o + 0.
-2*o*(o + 1)*(7*o - 2)/9
Suppose 8*k = 9*k + k. Determine i, given that 4/7*i + k - 4/7*i**2 = 0.
0, 1
Let j(u) be the first derivative of -u**3 + 0*u**2 - 3/8*u**4 + 3/10*u**5 - 1 + 0*u. Suppose j(s) = 0. Calculate s.
-1, 0, 2
Let y(l) = l**2 + 1. Let r be y(1). Let c(z) be the second derivative of 0*z**2 + 0 - 1/8*z**5 + 1/24*z**4 - 1/28*z**7 + 7/60*z**6 + 0*z**3 - r*z. Factor c(w).
-w**2*(w - 1)**2*(3*w - 1)/2
Let l be (-4)/6 - (4 + 291/(-45)). Factor l*b**2 + 27/5 - 27/5*b - 1/5*b**3.
-(b - 3)**3/5
Let v(k) be the first derivative of -k**4/34 - 4*k**3/17 - 9*k**2/17 - 8*k/17 - 26. Factor v(h).
-2*(h + 1)**2*(h + 4)/17
Let u(c) = c**2 + 9*c. Let i(v) = v. Suppose o + 3*h + 0 = -3, 3*o - 5 = -2*h. Let d(q) = o*u(q) - 24*i(q). Find y, given that d(y) = 0.
-1, 0
Let a(d) be the first derivative of 9*d**6/10 - 18*d**5/5 + 11*d**4/2 - 4*d**3 + 3*d**2/2 + d + 3. Let t(b) be the first derivative of a(b). Factor t(w).
3*(w - 1)**2*(3*w - 1)**2
Let a(i) = -5*i**4 - 4*i**3 - 5*i**2 + 6*i. Let z(f) = -11*f**4 - 9*f**3 - 11*f**2 + 13*f. Let q(u) = -13*a(u) + 6*z(u). Factor q(b).
-b**2*(b + 1)**2
Let v be (-10)/(-12) - (-3)/(-6). Find n such that 13/3*n**3 + 4/3*n**4 + 5*n**2 + 7/3*n + v = 0.
-1, -1/4
Let v be (-24)/(-15) + (-2)/(-5). Let i be (-14)/(-8) - (-3)/(-2). Factor 0 + 1/2*b - i*b**v - 1/4*b**3.
-b*(b - 1)*(b + 2)/4
Factor 16*t**2 + 8 - 3*t + 23*t + 4*t**3 + 0*t**3.
4*(t + 1)**2*(t + 2)
Let p(x) be the first derivative of -x**6/200 + x**5/100 + x**4/40 - x**3/10 - 3*x**2/2 - 3. Let z(y) be the second derivative of p(y). Solve z(t) = 0 for t.
-1, 1
Factor -1/3*v**2 - 1/3*v + 2/3.
-(v - 1)*(v + 2)/3
Let z = -26 + 42. Let r(j) = -10*j**2 + 6*j - 16. Let v(p) = 3*p**2 - 2*p + 5. Let f(h) = z*v(h) + 5*r(h). Factor f(n).
-2*n*(n + 1)
Let r(k) be the third derivative of k**5/90 + k**4/36 - 2*k**3/9 + 16*k**2. What is i in r(i) = 0?
-2, 1
Let n be (-3 + 6 - -2)/1. Let t(v) be the third derivative of -1/120*v**4 + 1/300*v**n + 0*v**3 + 0*v + 2*v**2 + 0. Factor t(y).
y*(y - 1)/5
Factor -4*s**4 + 6898*s - 6898*s + 2*s**5.
2*s**4*(s - 2)
Let o(r) = -2*r**2 + 88*r + 184. Let v be o(46). Factor -1/2*w**3 - 3/2*w**2 + 2 + v*w.
-(w - 1)*(w + 2)**2/2
Let z = 408/13 + -1211/39. Find f such that -2/3*f + 0 + 1/3*f**3 - z*f**2 = 0.
-1, 0, 2
Let t(y) be the first derivative of 7*y**3/2 + 72*y**2 - 42*y - 32. Solve t(z) = 0.
-14, 2/7
Let r(w) = -2 - 2 - 1 - 17*w**2 + 9*w**4 + 5*w**3 - 8*w. Let m(u) = -10*u**4 - 6*u**3 + 18*u**2 + 8*u + 6. Let b(s) = 5*m(s) + 6*r(s). Solve b(x) = 0 for x.
-1, 0, 2
Let r(x) = -x**3 - x**2 - 1. Let g(n) = 10*n**3 - 10*n**2 + 10*n + 5. Let q(d) = g(d) + 5*r(d). Factor q(m).
5*m*(m - 2)*(m - 1)
Let a be 10*((-12)/(-10) - 0). Suppose 4*z - z = a. Factor -h + 2*h**4 - 3*h**3 - z*h**2 - 4*h**4 - 2*h**3.
-h*(h + 1)**2*(2*h + 1)
Suppose 2*i + 2*o + 11 - 1 = 0, 2*i = 4*o + 20. Factor i + 11/2*y**3 + 9/4*y**5 + 2*y**2 + 1/4*y + 6*y**4.
y*(y + 1)**2*(3*y + 1)**2/4
Let d(g) be the second derivative of -g**6/420 + g**5/105 - g**4/84 + g**2/2 - g. Let i(x) be the first derivative of d(x). Determine y so that i(y) = 0.
0, 1
Suppose -6*o = -3*o - 12. Suppose -2*q**o - q**5 + 2*q**4 - q**3 + 2*q**3 = 0. Calculate q.
-1, 0, 1
Suppose 0 = a - 4, -2*u + a = 174 - 10. Let h = u + 323/4. Determine r, given that 3/4*r + 1/4 + h*r**2 + 1/4*r**3 = 0.
-1
Let z(k) = -k**4 - 16*k**3 - 26*k**2 - 16*k - 5. Let a(t) = -5*t**4 - 65*t**3 - 105*t**2 - 65*t - 20. Let n(m) = 4*a(m) - 15*z(m). Find p such that n(p) = 0.
-1
Let m(j) = -8*j**3 - 23*j**2 - 9*j - 5. Let q(u) = 12*u**3 + 35*u**2 + 14*u + 8. Let x(p) = -8*m(p) - 5*q(p). Factor x(r).
r*(r + 2)*(4*r + 1)
Suppose 3*w - w - 3 = -m, 4*w - 7 = -3*m. Let g(s) be the first derivative of -1/3*s**2 + m - s**3 + 0*s - 7/12*s**4. Factor g(r).
-r*(r + 1)*(7*r + 2)/3
Let z(o) be the second derivative of -4*o + 8*o**2 - 12*o**3 + 13/3*o**4 + 9/2*o**5 - 5/3*o**6 + 0. Solve z(q) = 0.
-1, 2/5, 2
What is n in 0*n + 0 - 1/6*n**4 + 0*n**3 + 1/6*n**2 = 0?
-1, 0, 1
Let x = -4596 + 46001/10. Let i = x - 3/5. Let i*t**3 + 4*t + 19/2*t**2 - 2 = 0. What is t?
-2, -1, 2/7
Let n(v) be the second derivative of -15*v**5/4 - 5*v**4 - 2*v**3 - 4*v + 2. Suppose n(k) = 0. What is k?
-2/5, 0
Find w such that 397*w**2 - 8*w**3 + 4*w**4 - w + w - 393*w**2 = 0.
0, 1
Let v be (-19 - -19)*1/2. Factor v - 2/3*q**2 - 2/3*q.
-2*q*(q + 1)/3
Let h(c) be the first derivative of -c**5 - 5*c**4/4 + 10*c**3/3 + 2. Factor h(d).
-5*d**2*(d - 1)*(d + 2)
Suppose 4*a - 20 = -a. Suppose 0 = a*s + 2 - 14. Let -4*r**2 + 4*r**2 + r**4 - 4*r**3 + r**2 + 6*r**s = 0. What is r?
-1, 0
Let h be -4 - (-1 - (5 + -3)). Let r(j) = j**3 + 1. Let y be r(h). Determine b, given that y - 1/5*b + 1/5*b**4 - 3/5*b**3 + 3/5*b**2 = 0.
0, 1
Let a(t) be the third derivative of 4*t**2 + 1/2*t**4 - 1/2*t**3 - 1/5*t**5 + 0 + 0*t. Find l, given that a(l) = 0.
1/2
Let h(m) = -m**3 + m + 6. Let l be h(0). Let p be 4/6 - (-2)/l. Factor p - 9/2*x + 7/2*x**2.
(x - 1)*(7*x - 2)/2
Determine t so that 2/11*t**3 - 6*t**2 + 66*t - 242 = 0.
11
Let z(n) be the third derivative of 0*n**6 - 1/210*n**7 + 0*n**3 + 1/60*n**5 + 11*n**2 + 0*n + 0 + 0*n**4. Factor z(j).
-j**2*(j - 1)*(j + 1)
Let b(z) = z**5 + z**3 - z**2 - z + 1. Let x = -5 + 7. Let m(j) = 4*j**5 + 2*j**4 - 2*j**3 - 6*j**2 + 4. Let h(d) = x*b(d) - m(d). Factor h(w).
-2*(w - 1)**2*(w + 1)**3
What is b in -32/9*b**4 + 14/9*b**5 - 4/9*b**2 + 22/9*b**3 + 0*b + 0 = 0?
0, 2/7, 1
Factor 14*f**5 + 0*f - 8*f**4 + 0 + 0*f**2 + 8/7*f**3.
2*f**3*(7*f - 2)**2/7
Let v(b) be the first derivative of -5*b**3/3 - 14. Factor v(z).
-5*z**2
Suppose -5*s + 1 = -24. Factor -4 - 14*y**4 - 4*y + 8*y**s + 5*y**2 - y**3 - 3*y**3 + 11*y**2 + 2.
2*(y - 1)**3*(y + 1)*(4*y + 1)
Find z such that 0*z + 0 + 0*z**3 - 1/3*z**4 + 1/3*z**2 = 0.
-1, 0, 1
Let h(j) be the second derivative of j**7/21 + 11*j**6/45 + 3*j**5/10 - 7*j**4/18 - 4*j**3/3 - 4*j**2/3 + 3*j. Determine f so that h(f) = 0.
-2, -1, -2/3, 1
Suppose -2*a = -4*d - 8, -d - 37 = a - 5*a. Suppose 15 = a*z - 5*z. Let 0 - 1/2*h**2 - 1/2*h**4 + 0*h - h**z = 0. Calculate h.
-1, 0
Let r(m) = m - 2. Let y be r(7). Let g - y - 6 + 11 + g**2 = 0. What is g?
-1, 0
Let g = 362 - 362. Factor -2/15*h + g + 2/15*h**2.
2*h*(h - 1)/15
Let z(d) = 18*d**5 - 35*d**4 + 6*d**3 + d**2 + 5. Let w(y) = 9*y**5 - 18*y**4 + 3*y**3 + 3. Let l(x) = -5*w(x) + 3*z(x). What is j in l(j) = 0?
-1/3, 0, 1
Suppose 5/7*k - 6/7 + 1/7*k**2 = 0. What is k?
-6, 1
Let p(x) be the second derivative of -x**5/5 + 4*x**4/3 - 2*x**3 - 4*x. Factor p(u).
-4*u*(u - 3)*(u - 1)
Let o(c) be the first derivative of c**4/54 - 2*c**3/27 + c**2/9 - 2*c - 3. Let v(p) be the first derivative of o(p). Determine s so that v(s) = 0.
1
Let h(q) be the first derivative of 3*q**4/4 + q**3/3 - q**2 - 11. Find z, given that h(z) = 0.
-1, 0, 2/3
Solve 0 + 1/3*u**3 + 0*u + 2/3*u**2 - 1/3*u**4 = 0.
-1, 0, 2
Let c(r) be the second derivative of 0 + 5*r - 1/135*r**6 - 1/27*r**3 + 0*r**2 + 1/54*r**4 + 1/90*r**5. Let c(x) = 0. What is x?
-1, 0, 1
Let 30*o**3 + 5*o + 25/2*o**4 + 45/2*o**2 + 0 = 0. What is o?
-1, -2/5, 0
Let l be -3 + (-3 - -3 - 0). Let t be 0/(1 - l) + 0. Suppose t - 6/5*y**3 + 0*y - 2*y**4 + 4/5*y**2 = 0. Calculate y.
-1, 0, 2/5
Suppose 16*c - 7*c = 18. Let t = -3 - -6. Factor 8/7*k**t + 0 - 2/7*k - 6/7*k**c.
2*k*(k - 1)*(4*k + 1)/7
Suppose 2*d = -d + 2*d. L