4 - i**3/14 + 15*i**2. Factor u(o).
-(o + 1)**2*(o + 3)/7
Let h(r) be the third derivative of -r**7/1260 - r**6/360 + r**5/30 - r**4/12 + 2*r**2. Let w(u) be the second derivative of h(u). Factor w(y).
-2*(y - 1)*(y + 2)
Let o = 160 + -1438/9. Factor o*f - 2/9*f**3 + 0 - 2/9*f**4 + 2/9*f**2.
-2*f*(f - 1)*(f + 1)**2/9
Let y(m) be the second derivative of 0 - 1/90*m**5 + 4*m + 0*m**3 + 0*m**4 + 3/2*m**2. Let b(a) be the first derivative of y(a). Suppose b(j) = 0. What is j?
0
Suppose 3*q - q - 6 = 0. Suppose 2 = -m + 2*o, 5 = 4*o - q. Solve 14*f**5 + 2 - 2*f + 2 + 82*f**3 - 32*f**m - 52*f**4 - 14*f**3 = 0 for f.
-2/7, 1
Suppose -4*g**5 - 39*g**3 - 36*g**4 - 108 + 4*g**4 - 324*g - 12*g**4 - 360*g**2 - 145*g**3 = 0. What is g?
-3, -1
Let t be ((-2)/((-24)/3))/(1 + 0). Solve 1/4*f**3 + 1/4*f**4 + 0 - t*f - 1/4*f**2 = 0.
-1, 0, 1
Let y(v) be the first derivative of 0*v - 4 + v**2 + 2/3*v**3. Determine j so that y(j) = 0.
-1, 0
Let o(c) be the first derivative of -5*c**4/4 - 20*c**3/3 - 5*c**2/2 + 30*c + 5. Solve o(s) = 0.
-3, -2, 1
Suppose 0 = -5*d - 2*t - 3*t + 25, t = -4*d + 14. Let a = d - -1. Factor -1 + w**2 + w + a*w**3 - 2*w**3 - 3*w**3.
-(w - 1)**2*(w + 1)
Let l(x) be the second derivative of x**8/23520 + x**7/4410 + x**4/12 + 4*x. Let s(g) be the third derivative of l(g). Let s(m) = 0. Calculate m.
-2, 0
Let d(i) be the second derivative of i**6/90 - i**5/30 + i**3/9 - i**2/6 + 3*i. Factor d(m).
(m - 1)**3*(m + 1)/3
Suppose f + j + 5 = 0, 2*f - j = -0*j - 10. Let b = f - -8. Solve 1/3*g**4 + 0*g - 1/3*g**2 + 0 + 0*g**b = 0 for g.
-1, 0, 1
Let m(z) = -2*z**2 - 22*z + 4. Let u be m(-11). Factor 4/7*i**u - 4/7*i**2 + 2/7*i**5 + 0*i**3 - 2/7*i + 0.
2*i*(i - 1)*(i + 1)**3/7
Suppose 0 = 4*a - 8, h + 3*h - 6 = 3*a. Let w = -27 + 29. Factor -1/2*x + x**w + 0 - 1/2*x**h.
-x*(x - 1)**2/2
Let j(z) = z**3 - 2*z**2 + z + 3. Let p(n) = -2*n**3 + 5*n**2 - 3*n - 7. Let g(r) = 7*j(r) + 3*p(r). Find q such that g(q) = 0.
-2, 0, 1
Let -30*t**3 + 8*t**5 + 25*t + 20*t**2 - 10*t + 7*t**5 - 10*t**4 - 10 = 0. What is t?
-1, 2/3, 1
Let s(v) = -4*v + v - 10 + 2*v. Let o be s(-10). Solve o*w + 2/5 - 2/5*w**2 = 0.
-1, 1
Let l = -3 + 0. Let b(s) = -4*s**4 - 3*s**3 + s**2 + 3*s. Let n(h) = -7*h**4 - 5*h**3 + 2*h**2 + 5*h. Let c(j) = l*n(j) + 5*b(j). Factor c(i).
i**2*(i - 1)*(i + 1)
Let v(g) be the second derivative of 25*g**4/12 + 10*g**3 + 10*g**2 - 11*g. Determine f so that v(f) = 0.
-2, -2/5
Let x be (-2)/16*-4 + 0. Factor -1/4*j**4 - 1/4*j + 1/2*j**2 + x*j**3 - 1/4*j**5 - 1/4.
-(j - 1)**2*(j + 1)**3/4
Let z = -82 - -165/2. Suppose 4*o - 2 - 10 = 0. Solve 0*t**o - 1/4*t + 0 - z*t**2 + 1/2*t**4 + 1/4*t**5 = 0 for t.
-1, 0, 1
Let x(v) be the first derivative of v**3/12 - 3*v**2/8 + v/2 - 17. Factor x(i).
(i - 2)*(i - 1)/4
Suppose -2*h = -0*h - 10. Suppose -h*d = -1 - 19. What is l in 0*l**2 - 2*l**3 + 2*l + d*l**4 - 2*l**2 - 2*l**4 = 0?
-1, 0, 1
Let b(f) be the first derivative of -3*f**5/20 - 3*f**4/8 + f**3/4 + 3*f**2/4 + 6. Let b(v) = 0. What is v?
-2, -1, 0, 1
Let q(l) = l - 13. Let f be q(13). Solve -2/9*z**5 + f*z**2 + 0 + 0*z + 2/9*z**3 + 0*z**4 = 0 for z.
-1, 0, 1
Let f(h) be the second derivative of h**9/9072 - h**7/840 + h**6/540 + h**3/6 + 3*h. Let v(t) be the second derivative of f(t). Factor v(l).
l**2*(l - 1)**2*(l + 2)/3
Let t(w) = -4*w**5 + w**4 + 8*w**3 + 5*w**2 - 5*w - 5. Let m(j) = 2*j**5 - 4*j**3 - 2*j**2 + 2*j + 2. Let o(g) = 10*m(g) + 4*t(g). Factor o(q).
4*q**3*(q - 1)*(q + 2)
Let t(r) be the third derivative of r**5/20 - 7*r**2. Suppose t(f) = 0. What is f?
0
Suppose 10*q - 15 = 5*q. Let d(p) be the first derivative of -p**2 + 0*p - 2 - 2/3*p**q. Find a such that d(a) = 0.
-1, 0
Let i(l) = 12*l**2 - 40*l + 12. Let r(z) = 24*z**2 - 80*z + 24. Let g(n) = -11*i(n) + 6*r(n). Find w, given that g(w) = 0.
1/3, 3
Let t be (-2)/(-27)*9/12. Let l(m) be the second derivative of -1/9*m**3 + 0 + 0*m**2 - 3*m - t*m**4. Find i such that l(i) = 0.
-1, 0
Find r, given that -50/3*r**3 + 0 + 28*r**2 - 6*r + 8/3*r**4 = 0.
0, 1/4, 3
Let k(z) be the second derivative of -3*z**5/10 - z**4/2 - z**3/4 + 2*z. Solve k(j) = 0 for j.
-1/2, 0
Let n(y) = -y - 7. Let j be n(-7). Factor j - 5*o**3 - 2 + 5*o - o**2 + 0*o**2 + 3*o**4.
(o - 1)**2*(o + 1)*(3*o - 2)
Suppose -a = 2*a - 21. Let g be (6 - a)*(1 + -1). What is l in 0*l**3 + 2/5 - 4/5*l**2 + g*l + 2/5*l**4 = 0?
-1, 1
Let u(x) be the third derivative of 1/120*x**5 + 1/480*x**6 - 1/96*x**4 + 0*x + 0 - 1/12*x**3 + 2*x**2. Factor u(s).
(s - 1)*(s + 1)*(s + 2)/4
Let c(y) be the third derivative of -1/18*y**4 + 2/9*y**3 + 0*y + 0 + 1/180*y**5 - 7*y**2. Solve c(b) = 0.
2
Factor 3/5 + 27/5*k**2 - 3*k - 21/5*k**3 + 6/5*k**4.
3*(k - 1)**3*(2*k - 1)/5
Let c(q) be the first derivative of q**7/630 - q**6/360 + 3*q**2/2 + 6. Let t(k) be the second derivative of c(k). Factor t(g).
g**3*(g - 1)/3
Let x(s) be the first derivative of 1/3*s**5 - 2 + 1/3*s**2 + 7/9*s**3 + 3/4*s**4 + 0*s + 1/18*s**6. Let x(l) = 0. What is l?
-2, -1, 0
Let t = -60 + 60. Suppose 0*u + 2/3*u**2 + t - 4/3*u**3 + 2/3*u**4 = 0. Calculate u.
0, 1
Let p(b) be the first derivative of 1/6*b**4 + 2/9*b**3 - 1/3*b**2 + 6 - 2/3*b. Let p(m) = 0. What is m?
-1, 1
Suppose t + 0*t - 22 = 5*w, 4*w = -3*t - 10. Find i, given that 0*i - 1/2*i**4 + 0*i**t - 3/2*i**3 + 0 = 0.
-3, 0
Let m(v) = 2*v + 3. Let n be m(0). Factor -1/2*i**n - 1/2 + 1/2*i + 1/2*i**2.
-(i - 1)**2*(i + 1)/2
Suppose 0 = 3*m + 2*m - 20. Let y = 14 - 14. Determine c so that -c**m - 1/4*c**5 + y - 1/4*c - c**2 - 3/2*c**3 = 0.
-1, 0
Let r(h) be the third derivative of h**7/420 + h**6/240 - 10*h**2. Factor r(a).
a**3*(a + 1)/2
Determine k so that -3*k + 12*k**2 - 5*k**2 - 10*k**2 = 0.
-1, 0
Let r(u) = 2*u**3 + 4*u + 6. Let l(b) = -b**2 - 1. Let q(n) = 6*l(n) + r(n). Factor q(d).
2*d*(d - 2)*(d - 1)
Let v(f) be the second derivative of -f**4/42 - f**3/21 + 6*f**2/7 - 41*f. Determine j so that v(j) = 0.
-3, 2
Let u = 286 + -1429/5. Determine s, given that 2/5 + 3/5*s + 0*s**2 - u*s**3 = 0.
-1, 2
Let z(d) be the third derivative of d**6/160 - d**4/8 - 17*d**2. Factor z(g).
3*g*(g - 2)*(g + 2)/4
Let k(d) = -3*d - 13. Let r be k(-5). Let s(c) be the first derivative of -c**r + 1/2*c**4 + 0*c**3 + 2 + 0*c. Suppose s(x) = 0. What is x?
-1, 0, 1
Let a(y) be the first derivative of -y**6/540 + y**5/90 - y**4/36 + y**3 - 6. Let n(i) be the third derivative of a(i). Factor n(j).
-2*(j - 1)**2/3
Let j(w) = 2*w**2 + 4*w - 4. Let r(u) = u + 1. Let g(t) = j(t) + 4*r(t). Factor g(y).
2*y*(y + 4)
Suppose -2*h - 3*h = -20. Determine z, given that z - 1/2*z**h + 1/2*z**2 + 0 - z**3 = 0.
-2, -1, 0, 1
Let n(z) be the first derivative of -z**4/2 + 7*z**3/6 - z**2/2 - z/2 + 11. Factor n(f).
-(f - 1)**2*(4*f + 1)/2
Let c = -53 - -54. What is l in -9/2*l**2 - 7/2*l - 5/2*l**3 - 1/2*l**4 - c = 0?
-2, -1
Let x = -58 + 58. Solve 0*i**2 + x*i**3 + 2/9*i**4 + 2/9*i**5 + 0*i + 0 = 0 for i.
-1, 0
Let s(t) be the first derivative of 0*t + 1/9*t**3 + 1/6*t**2 - 2. Factor s(a).
a*(a + 1)/3
Let c(m) be the second derivative of 3*m**5/20 - 3*m**4/4 + m**3 - 7*m. Solve c(u) = 0.
0, 1, 2
Suppose -6/7*f + 12/7 - 30/7*f**2 + 6/7*f**3 + 18/7*f**4 = 0. Calculate f.
-1, 2/3, 1
Let l = 119938/5 - 23858. Let r = l - 129. Factor 6/5*y**3 + 0*y**4 + 0*y**2 - r*y - 3/5*y**5 + 0.
-3*y*(y - 1)**2*(y + 1)**2/5
Let i = -6 + 17. Let n(g) = -g**2 + 10*g + 14. Let b be n(i). Factor 0 + 2/7*l - 2/7*l**2 - 4/7*l**b.
-2*l*(l + 1)*(2*l - 1)/7
Let r(f) be the second derivative of -f**9/252 - f**8/84 - f**7/210 + f**6/90 - 7*f**3/6 + f. Let a(u) be the second derivative of r(u). Factor a(m).
-4*m**2*(m + 1)**2*(3*m - 1)
Let p(r) be the third derivative of r**8/5880 + r**7/1470 + r**6/1260 - r**3 + 6*r**2. Let f(q) be the first derivative of p(q). Factor f(x).
2*x**2*(x + 1)**2/7
Let o(q) = 2*q**2 - 2*q - 4. Suppose 4*m = -12 - 8. Let r(b) = -4*b**2 + 5*b + 9. Let f(n) = m*o(n) - 2*r(n). Find s such that f(s) = 0.
-1, 1
What is i in -7/2*i**2 - i + 0 + 2*i**3 = 0?
-1/4, 0, 2
Let u(a) be the second derivative of -5*a**7/84 + a**6/5 + 11*a**5/40 - a**4/4 + 5*a + 3. Let u(z) = 0. What is z?
-1, 0, 2/5, 3
Suppose 13 = o - 4*y, o - 9 = -2*y + 5*y. Let a be o*(-3)/18*0. Factor -2/5*l**2 + a*l + 2/5*l**3 - 2/5*l**5 + 2/5*l**4 + 0.
-2*l**2*(l - 1)**2*(l + 1)/5
Let d(r) be the