2*a**4 + 0*a**4 - a**5 - a.
-a*(a - 1)**3*(a + 1)
Let g be (-602)/924 - 25/(-30). Suppose 4/11 - 2/11*s**3 - 4/11*s**2 + g*s = 0. What is s?
-2, -1, 1
Let p be (-3)/15*7/(-126). Let y(g) be the third derivative of 0*g**3 + 0*g - g**2 + 0 - p*g**5 - 1/36*g**4. Let y(w) = 0. Calculate w.
-1, 0
Let y(q) = -q + 11. Let w be y(7). Let f be 1/((12/9)/w). Suppose -62/9*n**2 + 10*n**4 - 52/3*n**f + 8/3*n + 8/9 = 0. Calculate n.
-1/3, 2/5, 2
Let q be (12/14)/((-35)/(-49)). Solve -2/5 + q*f**4 + 4/5*f**3 - 4/5*f**2 - 6/5*f + 2/5*f**5 = 0 for f.
-1, 1
Let p be (1/3)/(10/15). Let q(b) be the second derivative of 0*b**3 - 1/80*b**5 - 1/16*b**4 + b + p*b**2 + 0. Factor q(s).
-(s - 1)*(s + 2)**2/4
Let i(p) be the second derivative of p**8/560 + p**7/140 + p**6/120 + 5*p**3/6 + 3*p. Let n(h) be the second derivative of i(h). Suppose n(y) = 0. Calculate y.
-1, 0
Let y(w) = w**3 - w**2 - w + 230. Let x be y(0). Let -62*v**5 + 126*v**2 - 88*v**5 + 5*v**3 - x*v**4 - 8 - 32*v**2 + v**3 = 0. What is v?
-1, -1/3, 2/5
Let a(s) = s + 1. Let y(n) = n**2 - 7*n - 12. Let w(h) = -30*a(h) - 5*y(h). Suppose w(v) = 0. Calculate v.
-2, 3
Suppose u - 4*t = -0 + 2, 0 = 3*u + 5*t - 6. Determine j so that -3*j**3 - 204 + 204 - j - 4*j**u = 0.
-1, -1/3, 0
Let s(r) be the first derivative of -1/7*r**4 + 2/35*r**5 + 0*r**3 - 2/7*r - 2 + 2/7*r**2. Factor s(p).
2*(p - 1)**3*(p + 1)/7
Let z = 396 - 396. Factor 9/5*g**2 + z*g - 3/5*g**3 - 12/5.
-3*(g - 2)**2*(g + 1)/5
Let h(x) = -7*x - 1. Let y(u) = -u + 1. Let i(d) = h(d) - 6*y(d). Let v be i(-7). Solve 0 + v*n**4 + n**3 - 1/2*n**5 - 1/2*n + 0*n**2 = 0 for n.
-1, 0, 1
Let s(v) be the third derivative of -v**8/2520 + v**7/3780 - v**4/12 + 2*v**2. Let k(l) be the second derivative of s(l). Determine f, given that k(f) = 0.
0, 1/4
Let c(r) be the first derivative of -1/6*r**3 + 0*r**2 - 3 + 0*r**4 - 4*r + 1/20*r**5. Let z(f) be the first derivative of c(f). Determine d so that z(d) = 0.
-1, 0, 1
Let g(i) be the first derivative of -i**4/5 + 4*i**3/15 + 2*i**2/5 - 4*i/5 + 17. Factor g(h).
-4*(h - 1)**2*(h + 1)/5
Let r(i) be the third derivative of -3*i**7/70 - 11*i**6/40 - 3*i**5/10 + 3*i**4/2 + 4*i**3 - 5*i**2. Let r(d) = 0. Calculate d.
-2, -2/3, 1
Factor -35/4*y - 5/4*y**2 - 15/2.
-5*(y + 1)*(y + 6)/4
Let s = 1021/588 + 2/147. What is o in -1/2 + s*o**2 + 5/4*o = 0?
-1, 2/7
Let d be 0 - (-5)/(10/12). Suppose d*z = z. Determine w, given that 0*w**3 - w**4 - 6*w**3 + z*w**3 - 12*w**2 - 8*w = 0.
-2, 0
Let g(u) be the first derivative of -5*u**4/4 + 5*u**3 + 11. Factor g(z).
-5*z**2*(z - 3)
Let w(s) = 4*s**2 + 3*s - 1. Suppose -2*x - y = -2 - 3, 5*x = 3*y + 40. Let t(l) = -7*l**2 - 6*l + 1. Let j(q) = x*w(q) + 3*t(q). Factor j(u).
-(u + 1)*(u + 2)
Let c(r) be the third derivative of r**6/180 + r**5/270 - 2*r**4/27 + 4*r**3/27 - 9*r**2. Let c(x) = 0. Calculate x.
-2, 2/3, 1
Let p be 20/30*(-6)/(-20). What is k in 2/5*k**2 + 0 + 1/5*k**3 - 2/5*k**4 - p*k = 0?
-1, 0, 1/2, 1
Let f(z) be the first derivative of 1/4*z**4 - 4 - 1/2*z**3 + 0*z**2 - 4*z. Let u(h) be the first derivative of f(h). Solve u(t) = 0 for t.
0, 1
Let x(j) be the second derivative of j**9/22680 - j**7/1890 + j**5/180 - j**4/4 - j. Let c(z) be the third derivative of x(z). Find w, given that c(w) = 0.
-1, 1
Let x(t) be the first derivative of t**6/2 - 12*t**5/5 + 15*t**4/4 - 2*t**3 + 6. Determine n, given that x(n) = 0.
0, 1, 2
Let x(q) be the third derivative of -8*q**2 - 4/75*q**5 - 4/15*q**3 - 1/6*q**4 + 0*q + 0 - 1/150*q**6. Factor x(z).
-4*(z + 1)**2*(z + 2)/5
Let y(f) = -f**3 + 1. Let d be y(-2). Let t = 16 - d. Factor -10*a - 2 + 9*a**2 - 4 + t*a.
3*(a - 1)*(3*a + 2)
Let x(a) = 2*a**2 + 4*a + 6. Let q(b) = 5*b + 9. Let u(v) = -v**2 + v + 1. Let y(m) = -q(m) + 2*u(m). Let p(g) = -3*x(g) - 2*y(g). Factor p(z).
-2*(z + 1)*(z + 2)
Factor -2/11*l**2 + 2/11*l**3 + 2/11*l**4 + 0 + 0*l - 2/11*l**5.
-2*l**2*(l - 1)**2*(l + 1)/11
Let h be 1 + 1 + 0/2. Factor 2 + p + 0*p - 2*p**h + 0 - p**2.
-(p - 1)*(3*p + 2)
Solve -25 + 58 - 21 - 24*a + 21*a**5 + 3*a**3 + 57*a**4 - 69*a**2 = 0.
-2, -1, 2/7, 1
Factor -3*r**2 + 0*r**3 + 0*r**3 - 6*r**3 - 3*r**4.
-3*r**2*(r + 1)**2
Let m(y) be the first derivative of 2*y**3/3 - 2*y - 1. Suppose m(v) = 0. What is v?
-1, 1
Let n(s) = 7*s**4 + 42*s**3 + 135*s**2 + 64*s - 32. Let o(a) = 6*a**4 + 41*a**3 + 134*a**2 + 63*a - 33. Let b(f) = -3*n(f) + 4*o(f). Factor b(l).
(l + 1)*(l + 6)**2*(3*l - 1)
Let n(q) be the third derivative of 0 - 3*q**2 + 1/18*q**4 + 1/180*q**6 + 0*q + 1/30*q**5 + 0*q**3. Factor n(x).
2*x*(x + 1)*(x + 2)/3
Suppose 9*a = 8*a - 5*m, -a = m - 4. Let -4/7*l**4 + 4/7*l**2 + 12/7*l**3 - 8/7*l - 4/7*l**a + 0 = 0. Calculate l.
-2, -1, 0, 1
Let x(g) be the second derivative of -5/2*g**3 + g + 1/10*g**6 - 3*g**2 - 3/4*g**4 + 3/20*g**5 + 0. Factor x(h).
3*(h - 2)*(h + 1)**3
Let q(v) be the first derivative of -2/3*v - 2/15*v**5 + 7 + 0*v**4 + 4/9*v**3 + 0*v**2. Factor q(s).
-2*(s - 1)**2*(s + 1)**2/3
Let a(s) = -4*s. Let x be a(-1). Determine g, given that -4*g**x + g**3 + 7*g + 0 - 5*g**3 + 2 - 2*g - g**5 + 2*g**2 = 0.
-2, -1, 1
Suppose q + q = 4. Let u(k) = -k - 2. Let m be u(-5). Factor 0*t**3 - t**5 + t**3 - q*t**m + 2*t**4.
-t**3*(t - 1)**2
Factor -1/2*y**4 + 0 + 0*y + y**3 - 1/2*y**2.
-y**2*(y - 1)**2/2
Let u(r) be the first derivative of r**6/120 - r**5/60 + r**2 - 3. Let v(k) be the second derivative of u(k). What is f in v(f) = 0?
0, 1
Let i = 29 + -231/8. Let q(x) be the first derivative of -i*x**2 + 0*x + 2 - 1/12*x**3. Factor q(c).
-c*(c + 1)/4
Suppose 0*h - 1 = h. Let f(a) = 2*a**3 + 3*a**2 + 4*a - 3. Let s(q) = -q**3 - q**2 - q + 1. Let g(n) = h*f(n) - 3*s(n). Determine x, given that g(x) = 0.
-1, 0, 1
Let p(g) = -4*g**4 - 4*g**3 - g**2 + 9*g. Let s(i) = 12*i**4 + 12*i**3 + 4*i**2 - 28*i. Let k(y) = -16*p(y) - 5*s(y). What is j in k(j) = 0?
-1, 0, 1
Factor -8/7*c**3 - 2/7 - 18/7*c**2 - 12/7*c.
-2*(c + 1)**2*(4*c + 1)/7
Factor -4/5 + 3/5*i**2 - 2/5*i**3 + 4/5*i - 1/5*i**4.
-(i - 1)**2*(i + 2)**2/5
Let c = 33 - 31. Let a(m) be the second derivative of -7/6*m**4 - 1/3*m**3 + 0 - 4/21*m**7 + 2*m - 13/15*m**6 - 3/2*m**5 + 0*m**c. Factor a(p).
-2*p*(p + 1)**3*(4*p + 1)
Let i(h) be the second derivative of -h**4/12 + h**3/2 - h**2 + 37*h. Solve i(k) = 0.
1, 2
Let d = -4 + 6. Determine p so that 3*p + p + 0*p**d + 3 + p**2 + 1 = 0.
-2
Let z(r) be the third derivative of -r**5/15 - r**4/3 - 9*r**2. Factor z(h).
-4*h*(h + 2)
Let v(a) be the third derivative of -a**7/105 + a**5/15 - a**3/3 - 7*a**2. Determine q so that v(q) = 0.
-1, 1
Let s(g) = 4*g**5 - 8*g**4 - 8*g**3 + 4*g - 4. Let w(d) = -3 + 4*d + 5*d**5 - d - 10*d**4 - 7*d**3 + 3*d**4. Let o(j) = -3*s(j) + 4*w(j). Factor o(r).
4*r**3*(r - 1)*(2*r + 1)
Solve -96/5*u + 24/5 + 6/5*u**2 - 6*u**4 - 42/5*u**5 + 138/5*u**3 = 0 for u.
-2, -1, 2/7, 1
Let l = -3 - -5. Suppose 3*c = 4 + 2. Determine q so that -q - 2 + q**l + 2*q**c + 0*q**2 = 0.
-2/3, 1
Let y(x) be the second derivative of 9/2*x**2 - x**3 - 1/4*x**4 - 4*x + 0. Factor y(s).
-3*(s - 1)*(s + 3)
Let l(q) be the third derivative of q**7/840 - q**6/720 - 2*q**3/3 + 4*q**2. Let o(u) be the first derivative of l(u). Determine d, given that o(d) = 0.
0, 1/2
Suppose 4*f - 3 = 9. Let p = 7 - f. Factor 8/3*i - p*i**2 - 2/3*i**4 - 2/3 + 8/3*i**3.
-2*(i - 1)**4/3
Let s = 37 + -26. Let t = -7 + s. Factor d**5 - d**2 - 3*d**t + 0*d**2 - d**3 + 4*d**3.
d**2*(d - 1)**3
Let t = 127 + -213. Let x = t - -260/3. Solve 0 + x*s**2 + 0*s - 2/3*s**3 = 0 for s.
0, 1
Suppose -4*f = -11 + 3. What is v in 0 + 1/5*v**f - 1/5*v = 0?
0, 1
Suppose -y - 14 + 6 = 0. Let u be ((-4)/y)/((-1)/(-6)). Suppose 0*t + 0 + 1/5*t**u - 2/5*t**2 = 0. Calculate t.
0, 2
Suppose -d + p = -0*p - 4, -3*d + 2*p + 8 = 0. Determine f, given that d + 4/9*f + 2/9*f**2 = 0.
-2, 0
Suppose 19 = -4*g + 3*m, m - 2*m - 24 = 3*g. Let n be (0 - 2)*(g + 5). Factor f - 3*f**3 + 0*f**2 + 0*f + 2 - f**2 + 2*f - f**n.
-(f - 1)*(f + 1)**2*(f + 2)
Let n(d) be the second derivative of -7*d**6/120 - 33*d**5/80 + 5*d**4/24 - 2*d + 8. Solve n(j) = 0 for j.
-5, 0, 2/7
Let m(c) = c**2 + 11*c + 10. Let j be m(-10). Find o such that 3/5*o**5 - 6/5*o**3 + 0*o**2 + 0 + 3/5*o + j*o**4 = 0.
-1, 0, 1
Let r(j) be the second derivative of 1/20*j**5 - 3*j - 1/40*j**6 + 0*j**3 + 0*j**2 - 1/48*j**4 + 0. Find 