d). Factor t(l).
-3*l**2*(l - 1)**2
Suppose 8*n - 2 = 14. Factor 0 + t**3 - 1/2*t**4 + 0*t - 1/2*t**n.
-t**2*(t - 1)**2/2
Let n(c) be the third derivative of c**4/24 + c**3/3 + 5*c**2. Let b be n(0). Factor -2/3 - 1/3*q**b - q.
-(q + 1)*(q + 2)/3
Let t = -18 - -21. Find d, given that 0*d**2 - 2*d**2 - d**3 + t*d - 5*d + d = 0.
-1, 0
Suppose b + x = 2*x, -2*b + 4*x = 4. Let w(n) be the second derivative of -1/21*n**7 + 2*n - 1/3*n**4 + 1/15*n**6 + 1/5*n**5 - 1/3*n**3 + 0 + n**b. Factor w(a).
-2*(a - 1)**3*(a + 1)**2
Let m be 7/1 - 6/2. Suppose m*q - 22 = -w, 4*q = -w + 2*q + 14. Suppose 3*x + 7*x - 3*x**2 - x - w = 0. What is x?
1, 2
What is c in -5/4 + 1/4*c**2 - c = 0?
-1, 5
Let u(s) be the third derivative of s**9/15120 - s**7/1260 + s**5/120 - s**4/12 - 2*s**2. Let b(x) be the second derivative of u(x). Solve b(i) = 0 for i.
-1, 1
Let h = 409/6 - 68. Suppose -1/3*g - 1/6 - h*g**2 = 0. Calculate g.
-1
Let k(b) = 6*b - 6. Let y be k(1). Suppose -2/3*c**3 + 1/3 + 2/3*c - 1/3*c**4 + y*c**2 = 0. Calculate c.
-1, 1
Factor 4/5*f**3 + 4/5*f**4 + 1/5*f**5 + 0*f + 0 + 0*f**2.
f**3*(f + 2)**2/5
Let v(n) be the first derivative of -n**6/2 - 12*n**5/5 - 3*n**4/4 + 10*n**3 + 6*n**2 - 24*n - 21. Solve v(i) = 0.
-2, 1
Let k(f) = 2*f - 9. Let q be k(7). Suppose -2*z + 6*z + q*z**4 - 22*z**2 + 32*z**3 - 13*z**4 - 6*z**4 = 0. What is z?
0, 2/7, 1
Solve -1/2*j + 5/4*j**2 + 0 = 0.
0, 2/5
Factor j**3 + 70*j**2 - 3*j**3 - 3*j**3 - 245*j + 0*j**3.
-5*j*(j - 7)**2
Let y(k) be the second derivative of -3*k**5/20 - k**4/4 + k**3/2 - 2*k. Let v(u) = -3*u**3 - 2*u**2 + 3*u. Let a(z) = 3*v(z) - 2*y(z). Factor a(i).
-3*i*(i - 1)*(i + 1)
Suppose -4*r = -5*p, 3*p - 3*r - 1 = -p. Find n, given that -10*n**5 - 4*n**3 - 8*n**p - 2 + 12*n**5 + 18*n + 2 + 24*n**2 = 0.
-1, 0, 3
Suppose 4*i + 320 - 108 = 0. Let h = -211/4 - i. Factor -h*n**5 + 0*n**2 + 0*n**4 + 1/4*n**3 + 0 + 0*n.
-n**3*(n - 1)*(n + 1)/4
Solve -2/3*w**2 + 1/6*w**5 - 4/3*w + 5/6*w**4 + w**3 + 0 = 0 for w.
-2, 0, 1
Factor 1/3*k**5 + 0*k + 0*k**4 + 0 - 1/3*k**3 + 0*k**2.
k**3*(k - 1)*(k + 1)/3
Let a = -488 + 1466/3. Let a*h**3 + 0*h + 0 + 2/3*h**4 - 2/3*h**2 - 2/3*h**5 = 0. Calculate h.
-1, 0, 1
Let g(r) be the third derivative of -r**6/240 + r**5/120 - 3*r**2. Determine n, given that g(n) = 0.
0, 1
Let i = -173 - -110. Let y be (-60)/i + 2/(-3). Factor -y*p**3 + 2/7*p**4 - 2/7*p**2 + 2/7*p + 0.
2*p*(p - 1)**2*(p + 1)/7
Let h(r) be the first derivative of r**4/6 - 10*r**3/27 + 2*r**2/9 + 2. Let h(i) = 0. What is i?
0, 2/3, 1
Let v(z) be the first derivative of -2*z**3/7 + 2*z**2/7 - 1. Factor v(p).
-2*p*(3*p - 2)/7
Suppose 0 = 4*l - 3*n - 25, -8*n + 3*n - 3 = 3*l. Let 1/4*t**2 + 7/4*t - 7/4*t**3 - 3/4*t**l + 1/2 = 0. What is t?
-2, -1, -1/3, 1
Let f(p) be the third derivative of -p**7/630 - p**6/360 + p**5/180 + p**4/72 - 5*p**2. Factor f(k).
-k*(k - 1)*(k + 1)**2/3
Let z(g) = 7*g + 14. Let x be z(4). Let n be 150/x - 4/7. Find a such that 0*a**2 + 2/3 + a - 1/3*a**n = 0.
-1, 2
Let m be -2 + (2 - 4/(-2)). Solve 8*j**m + 10*j**4 + 12*j**3 - 4*j**5 + 6*j**5 + 2*j - 2*j**4 = 0 for j.
-1, 0
Suppose -37 = 2*a + 19. Let l be (3/(-2))/(231/a). Factor -l*x**3 + 4/11*x**2 + 2/11*x - 4/11.
-2*(x - 2)*(x - 1)*(x + 1)/11
Let a(o) = -3*o**5 + 6*o**4 + 6*o**3 - 3*o**2 + 5*o + 5. Let u(z) = -2*z**5 + 3*z**4 + 3*z**3 - 2*z**2 + 3*z + 3. Let t(f) = -6*a(f) + 10*u(f). Factor t(d).
-2*d**2*(d + 1)**3
Let w(x) be the second derivative of -5*x**4/72 - 65*x**3/18 - 845*x**2/12 + 35*x. Factor w(v).
-5*(v + 13)**2/6
Let i be 4/(7 + -3) - -4. Determine o, given that 8/5*o + 42/5*o**3 + 4/5*o**4 + 0 - 14/5*o**i - 8*o**2 = 0.
-2, 0, 2/7, 1
Suppose 1/3*i**5 + 0*i + 0 - 5/3*i**4 + 7/3*i**3 - i**2 = 0. Calculate i.
0, 1, 3
Factor -19*y**2 + 24*y**2 + y**4 - 6*y**4.
-5*y**2*(y - 1)*(y + 1)
Let b be ((-4)/6)/(1/(-36)). Let t be 8/(-20) + b/35. Solve -t + 2/7*m**2 + 0*m = 0 for m.
-1, 1
Suppose 14*t**5 - 20*t**2 - 40*t**3 - 10*t**5 - 9*t**5 - 25*t**4 = 0. What is t?
-2, -1, 0
Let p be (93/9)/((-1)/3). Let s = -123/4 - p. Solve 1/2*g**2 + 0 + 1/4*g + 0*g**3 - s*g**5 - 1/2*g**4 = 0 for g.
-1, 0, 1
Let b(r) be the third derivative of -r**10/10080 + r**8/2240 + 5*r**4/24 + 6*r**2. Let k(y) be the second derivative of b(y). Factor k(n).
-3*n**3*(n - 1)*(n + 1)
Let c(x) = x**2 - 6*x. Let p(d) = -d. Let i be (5 - 7) + (2 - 1). Let r(l) = i*c(l) + 5*p(l). Factor r(j).
-j*(j - 1)
Let z(v) = -v**3 + 5*v**2 + 8*v - 8. Let x be z(6). Suppose -2*t + t + 2 = 0, 4*j - 2*t - x = 0. What is i in 2/5 - 2/5*i**j + 0*i = 0?
-1, 1
Let f(d) = -11*d**3 - 45*d**2 - 135*d - 135. Let v(z) = 155*z**3 + 630*z**2 + 1890*z + 1890. Let g(q) = -85*f(q) - 6*v(q). Factor g(r).
5*(r + 3)**3
Solve -6/7*d**2 - 2/7*d + 4/7 + 2/7*d**4 + 2/7*d**3 = 0 for d.
-2, -1, 1
Let j(x) be the third derivative of x**6/80 + x**5/20 - 7*x**4/16 + x**3 - 2*x**2 - 22. Suppose j(c) = 0. Calculate c.
-4, 1
Factor -3 - 6*l + 5 + 2*l**2 - l + 3*l.
2*(l - 1)**2
Let q(p) = -5 - 2*p + 5*p + 4. Let h be q(1). What is b in h + 2*b - 2*b**3 - 2*b + 2*b - 2*b**2 = 0?
-1, 1
Let h be (-1)/(-6) + 4/48. Find f, given that 0 + 1/4*f + h*f**2 = 0.
-1, 0
Suppose u + 2*u - 204 = 0. Let z be u/18 - (-4)/18. Factor -2*w**2 - 6*w**2 - z*w + 2*w**2.
-2*w*(3*w + 2)
Let q(v) = -v**2 - 28*v - 25. Let b be q(-27). Factor 0*i + 2/9*i**3 + 0 - 2/9*i**4 + 2/9*i**b - 2/9*i**5.
-2*i**2*(i - 1)*(i + 1)**2/9
Suppose d = 2*j + 12, 3*d - 8*d - 5*j = 0. Suppose -5*n**3 - 7*n**2 + d*n**2 + 6*n - 4*n**3 = 0. Calculate n.
-1, 0, 2/3
Let q(m) be the first derivative of 0*m - 3*m**3 + 3*m**2 + 0*m**4 - 4 + 3/5*m**5. Factor q(u).
3*u*(u - 1)**2*(u + 2)
Let q(v) = -15*v**2 - 5*v + 1. Let c(d) = -14*d**2 - 6*d + 2. Let y(h) = -7*c(h) + 6*q(h). Factor y(f).
4*(f + 2)*(2*f - 1)
Find x, given that 15/2*x**2 + 3/2*x**4 - 6*x**3 + 0 - 3*x = 0.
0, 1, 2
Let n = -25 + 28. Suppose -r**n + r - 5/3*r**4 - 2/3 + 7/3*r**2 = 0. Calculate r.
-1, 2/5, 1
Let s be (-3*1)/(-9) - -1. Let q(f) = -f**3 + 7*f**2 - 8*f + 15. Let j be q(6). Factor -4/3*l**j + 2/3 - 2*l**4 + 2*l - 2/3*l**5 + s*l**2.
-2*(l - 1)*(l + 1)**4/3
Let h(b) = 11*b**4 + 6*b**3 - b**2 - b + 5. Let y(l) = -17*l**4 - 9*l**3 + l**2 + l - 8. Let x(k) = -8*h(k) - 5*y(k). Let x(r) = 0. Calculate r.
-1, 0, 1
Let i(w) be the first derivative of w**6/18 - w**4/6 + w**2/6 + 7. Suppose i(u) = 0. Calculate u.
-1, 0, 1
Let b(z) = 1 + z - 2 + 4*z**4 - z**2 - 2 - 4*z**3. Let s(w) = w**4 - w**3 - 1. Let h(u) = -2*b(u) + 6*s(u). Factor h(j).
-2*j*(j - 1)**2*(j + 1)
Let l be 8/9*5865/(-35). Let j = l + 452/3. Suppose -18/7*u**4 + 0 + 0*u - 8/7*u**5 - j*u**3 - 2/7*u**2 = 0. Calculate u.
-1, -1/4, 0
Factor -8/9 - 8/9*v + 2/3*v**3 + 10/9*v**2.
2*(v - 1)*(v + 2)*(3*v + 2)/9
Suppose 0 = -6*q + 2*q + 3452. Let s = q - 9487/11. Solve 4/11*j + s*j**3 - 14/11*j**2 + 0 = 0.
0, 1/3, 2
Let w(o) be the third derivative of 0 + 0*o**4 - 1/24*o**3 + o**2 + 0*o + 1/240*o**5. Suppose w(b) = 0. What is b?
-1, 1
Let k(i) = 8*i**2 + 11*i - 5. Let f(t) = 7*t**2 + 10*t - 4. Let s(c) = -5*f(c) + 4*k(c). Factor s(g).
-3*g*(g + 2)
Let u = 0 - -3. Determine y, given that -y**u - y + y**2 - 2*y - y**4 + 4*y = 0.
-1, 0, 1
Let w(g) = g**3 + 12*g**2 + 12*g + 11. Let d be w(-11). Let c(i) be the first derivative of 0*i + 1/12*i**3 - 2 + 0*i**4 + d*i**2 - 1/20*i**5. Factor c(o).
-o**2*(o - 1)*(o + 1)/4
Let z be (-3 + 16/6)*-1. Suppose -4/3*l - z*l**2 - 4/3 = 0. What is l?
-2
Let c(h) be the third derivative of 1/8*h**3 + 0 - 3/80*h**5 - 1/16*h**4 + 3*h**2 + 0*h. Factor c(w).
-3*(w + 1)*(3*w - 1)/4
Let n = 3 - 8. Let h be 3/(-5) - 13/n. Find l, given that 1/4 + 1/4*l**h + 1/2*l = 0.
-1
Let z(r) be the first derivative of r**7/840 - r**5/240 + r**2 + 1. Let k(l) be the second derivative of z(l). Factor k(d).
d**2*(d - 1)*(d + 1)/4
Suppose 2*o + 3*k + 6 = -5, 17 = -4*o - 5*k. Factor h**o - 2*h**2 - 3*h + 4*h**2 - 6.
3*(h - 2)*(h + 1)
Let b(x) be the third derivative of x**7/756 + 7*x**6/1080 + x**5/90 - 7*x**4/24 - 5*x**2. Let g(l) be the second derivative of b(l). Let g(o) = 0. What is o?
-1, -2/5
Factor 0 - 1/8*v**2 - 5/8*v.
-v*(v + 5)/8
Let u(r) be the third derivative of r**8/840 + 4*r**7/175 + 19*r**6/150 + 26*r**5/75 + 11*r**4/20 + 8*r**3/15 - 5*r**2. Determine a so that u(a) = 0.
-8, -1
Let p = 1544/7029 + 2/781. Find g, given that 0 + 0*g 