n that 2/3*i**5 - 1/3*i**4 + 0*i - 2/3*i**3 + 0 + s*i**2 = 0.
-1, 0, 1/2, 1
Let i(s) be the first derivative of -s**3/24 - 3*s**2/16 - s/4 - 7. Solve i(o) = 0 for o.
-2, -1
Let t be 12/(-2)*2/(-3). Suppose l - 4*d + d = -4, -5*d = t*l - 18. Factor -3*x**2 + 3*x**3 + x**l + x**2 - 2*x**3.
x**2*(x - 1)
Let k(q) be the third derivative of 1/24*q**4 + 0 - 1/120*q**6 - 1/60*q**5 + 1/6*q**3 - 3*q**2 + 0*q. What is y in k(y) = 0?
-1, 1
Determine c, given that -2/9*c**3 - 2/3*c**2 + 0 - 4/9*c = 0.
-2, -1, 0
Suppose -24 = -3*l - 4*a, -a = 3*a - 12. Let m(x) be the first derivative of 0*x**2 - 2/7*x**5 + 1 + 0*x + 2/21*x**3 - 1/14*x**l - 1/7*x**6. Factor m(q).
-2*q**2*(q + 1)**2*(3*q - 1)/7
Let a(l) be the second derivative of 0*l**2 - 1/12*l**4 - 2*l + 0 - 1/40*l**5 + 1/6*l**3 - 1/360*l**6. Let b(x) be the second derivative of a(x). Factor b(k).
-(k + 1)*(k + 2)
Let c(s) = 6*s**3 - 2*s**2 - 6*s + 2. Let i(d) = -30*d**3 + 10*d**2 + 30*d - 10. Let g(m) = -16*c(m) - 3*i(m). Factor g(j).
-2*(j - 1)*(j + 1)*(3*j - 1)
Let d(n) = -6*n**4 + 2*n**3 - 3*n**2 - 6*n - 5. Let y(u) = 7*u**4 - 3*u**3 + 3*u**2 + 7*u + 6. Let f(q) = 6*d(q) + 5*y(q). Factor f(p).
-p*(p + 1)**3
Let c(z) be the third derivative of 2*z**7/21 + z**6/15 - z**5 + 2*z**4/3 + 8*z**3/3 + 7*z**2. Let c(k) = 0. What is k?
-2, -2/5, 1
Let z be (-7 + 63/14)/(-5). Find y such that -z*y**3 + 0 + 1/2*y + 0*y**2 = 0.
-1, 0, 1
Let m be 0/(3 + (-8 - -3)). Let w(s) be the first derivative of 0*s - 2/5*s**5 + 0*s**4 - 4/3*s**6 + m*s**2 - 3 + 0*s**3. Determine u, given that w(u) = 0.
-1/4, 0
Let t(z) be the first derivative of -2*z**5/45 - 2*z**4/3 - 4*z**3 - 12*z**2 - 18*z - 6. Factor t(o).
-2*(o + 3)**4/9
Suppose 4*q - v - 10 = 12, -4*q + 2*v = -24. Factor w**3 - w**2 + 3/2*w**4 + 1/2*w**q - 1/2 - 3/2*w.
(w - 1)*(w + 1)**4/2
Let h(s) = -3*s - 1. Let i be h(-2). Let k = -3 + i. Solve 1/4*y**k + y + 1 = 0.
-2
Let n(m) be the second derivative of m**4/3 + 4*m**3/3 - 6*m**2 + 42*m - 2. Determine l, given that n(l) = 0.
-3, 1
Let v(z) be the first derivative of -2*z + 0*z**4 + 1/30*z**5 - 1/9*z**3 - 3 + 0*z**2. Let y(g) be the first derivative of v(g). Factor y(t).
2*t*(t - 1)*(t + 1)/3
Let f(m) be the second derivative of 3*m**8/448 + m**7/56 + m**6/80 + m**2/2 + 6*m. Let i(q) be the first derivative of f(q). Suppose i(n) = 0. Calculate n.
-1, -2/3, 0
Let v = 33 + -33. Let x(m) be the second derivative of 3*m - 1/3*m**4 + 1/3*m**3 + 2/15*m**6 + 0*m**2 + 0 - 1/21*m**7 + v*m**5. Factor x(p).
-2*p*(p - 1)**3*(p + 1)
Let k be ((-19)/(-38))/(1/3). Suppose -12 + 75/2*w**3 - 57*w**2 + 42*w - 12*w**4 + k*w**5 = 0. Calculate w.
1, 2
Let m(y) be the second derivative of 0 + 1/120*y**5 + 0*y**2 + y + 1/48*y**4 + 1/720*y**6 + 1/6*y**3. Let g(q) be the second derivative of m(q). Factor g(n).
(n + 1)**2/2
Determine u so that -4*u**2 + 9 + 8*u**3 - 2*u - 2*u**5 - 5 - 3*u - u = 0.
-2, -1, 1
Suppose -83*n + 66 = -17*n. Solve n - 11/3*k + 8/3*k**2 = 0 for k.
3/8, 1
Let h(p) be the third derivative of -1/15*p**5 + 0 - 1/12*p**4 + 6*p**2 + 0*p + 0*p**3 - 1/60*p**6. Solve h(x) = 0.
-1, 0
Suppose -2*f - 3*f + 10 = 0. Suppose f*d + 8 = 0, -208 = -2*a + 2*d + 2*d. Factor a*o + 9*o**3 + 15*o**3 - 3*o**4 - 28*o**2 - 44*o**2 - 48.
-3*(o - 2)**4
Let v(t) be the first derivative of -t**5/150 + t**4/30 - t**3/15 - t**2 - 3. Let x(i) be the second derivative of v(i). Factor x(k).
-2*(k - 1)**2/5
Factor 9/2*d**4 + 0*d + 0*d**2 - 3*d**3 - 3/2*d**5 + 0.
-3*d**3*(d - 2)*(d - 1)/2
Let h = 14 - 10. Let l(f) be the first derivative of -f - 2 + 1/4*f**2 + 5/6*f**3 - 1/8*f**h - 3/10*f**5. Suppose l(o) = 0. What is o?
-1, 2/3, 1
Let r(b) be the first derivative of b**9/756 - b**8/420 - b**7/210 + b**6/90 + 2*b**3 + 1. Let g(s) be the third derivative of r(s). Factor g(i).
4*i**2*(i - 1)**2*(i + 1)
Let k(v) be the first derivative of v**4 + 4*v**3/3 - 2*v**2 - 4*v - 27. Determine u so that k(u) = 0.
-1, 1
Let j(n) be the first derivative of -n**5/5 + 3*n**4/4 + 5*n**3/3 + n**2/2 - 4*n - 5. Let d(y) = -y**3 - y**2 - y + 1. Let k(l) = -4*d(l) - 2*j(l). Factor k(h).
2*(h - 2)*(h - 1)*(h + 1)**2
Determine k so that -72/5*k**3 + 0*k - 63/5*k**5 + 0 - 123/5*k**4 - 12/5*k**2 = 0.
-1, -2/3, -2/7, 0
Factor -6*h + 8 - 19*h**2 + 23*h**2 - 6*h.
4*(h - 2)*(h - 1)
Suppose -7*q + 32 = q. Let b(m) be the second derivative of 3/5*m**2 - 3/10*m**3 + 0 + q*m - 1/10*m**4 + 9/100*m**5. Determine x, given that b(x) = 0.
-1, 2/3, 1
Let v(p) be the second derivative of -p**8/6720 + p**4/12 - 2*p. Let q(z) be the third derivative of v(z). Factor q(b).
-b**3
Let c(m) be the third derivative of -m**7/630 + m**6/72 - m**5/30 - m**4/18 + 4*m**3/9 - 30*m**2. Find y such that c(y) = 0.
-1, 2
Factor -4*p - 4/3 - 4/3*p**3 - 4*p**2.
-4*(p + 1)**3/3
Let d(h) = -h**2 - 10*h + 5. Let v be d(-10). Suppose -14*r = -19*r + v. Suppose 5/4*g**2 + 4*g + r - 7/4*g**3 = 0. Calculate g.
-1, -2/7, 2
Let p(d) be the second derivative of d**5/2 + 25*d**4/12 - 10*d**3/3 - 15*d**2/2 + 38*d. Suppose p(k) = 0. What is k?
-3, -1/2, 1
Find o such that 1/5*o + 0 + 0*o**3 - 1/5*o**5 + 2/5*o**4 - 2/5*o**2 = 0.
-1, 0, 1
Factor -4*o - 144*o**3 - 1 + 12*o + 12*o**2 + 0 + 0*o.
-(4*o + 1)*(6*o - 1)**2
Let -34/15*v - 4/15 - 2*v**2 = 0. What is v?
-1, -2/15
Suppose -4*l + 10 = -2*l. Let v = l + -1. Solve -7*x**5 + x**4 + 10*x**5 - v*x**5 = 0.
0, 1
Suppose 5*l = 3*l + 10. Let b(q) be the second derivative of -q**2 + 1/42*q**7 - 4/3*q**4 + q - 1/5*q**6 + 0 + 7/10*q**l + 3/2*q**3. Factor b(h).
(h - 2)*(h - 1)**4
Let n(d) be the second derivative of -d**5/140 - d**4/84 + d**3/21 + 4*d. Suppose n(q) = 0. What is q?
-2, 0, 1
Let y(i) = i - 13. Let g be y(13). Let p(t) be the third derivative of 0 + g*t**4 + 0*t - 2*t**2 - 1/330*t**5 + 1/33*t**3. Let p(h) = 0. What is h?
-1, 1
Let g(t) be the first derivative of 0*t**3 + 2/5*t**5 - 2*t + 2*t**2 + 1 - t**4. Factor g(v).
2*(v - 1)**3*(v + 1)
Let w = -11 - -4. Let c = -5 - w. Factor 4*o**3 + 2*o**4 - c*o**5 + 3*o + 2 - 4*o**2 - 5*o + 0*o**5.
-2*(o - 1)**3*(o + 1)**2
Let o = 9 - 6. Suppose o*b + 0*a + 3 = 3*a, -b = 5*a - 23. What is d in d**2 - 2*d**3 + 0*d**2 + 0*d**b + 4*d - 3*d**2 = 0?
-2, 0, 1
Let x be 0 + -4 + 10 + -7. Let q be (-20)/(-30) - x/12. Factor 1/2 - q*u**2 - 1/4*u.
-(u + 1)*(3*u - 2)/4
Let k(r) be the second derivative of r**5/20 - r**4/3 + r**3/2 + 7*r. Factor k(l).
l*(l - 3)*(l - 1)
Let s(u) = 5 - 3*u + 2*u**2 + 4*u - 5*u. Let x(q) = q. Let c be x(2). Let f(y) = 2*y**2 - 4*y + 4. Let h(d) = c*s(d) - 3*f(d). Factor h(i).
-2*(i - 1)**2
Let v(c) be the first derivative of 3*c**4/32 + c**3/4 - 3*c**2/16 - 3*c/4 + 16. Determine y, given that v(y) = 0.
-2, -1, 1
Let d(v) = -5*v - 5 - 4*v + 6*v**3 + 7*v**2 + 1. Let t(x) = -30*x**3 - 36*x**2 + 46*x + 20. Let g(i) = -16*d(i) - 3*t(i). Factor g(q).
-2*(q - 1)*(q + 1)*(3*q + 2)
Let h(w) be the first derivative of 2/7*w + 1 - 2/21*w**3 - 1/7*w**2 + 1/14*w**4. Let h(n) = 0. Calculate n.
-1, 1
Suppose -4 + 19 = 5*m. Let a be 4*m*15/70. Solve 24/7*d**3 - 10/7*d**2 - 24/7*d - 8/7 + a*d**4 = 0 for d.
-1, -2/3, 1
Suppose 1731*s = 1723*s + 16. What is j in -2/11*j + 0 - 4/11*j**s - 2/11*j**3 = 0?
-1, 0
Let k(n) be the first derivative of -5*n**6/21 - 26*n**5/35 - 9*n**4/14 + 2*n**3/21 + 2*n**2/7 - 8. Factor k(y).
-2*y*(y + 1)**3*(5*y - 2)/7
Let x(m) be the second derivative of m**6/135 + m**5/30 + m**4/27 - 10*m. Solve x(n) = 0 for n.
-2, -1, 0
Let l(x) be the second derivative of -2*x**6/9 + x**5/30 + 2*x**4/3 - x**3/9 - 2*x**2/3 + 8*x. Let l(k) = 0. What is k?
-1, -2/5, 1/2, 1
Let v = -30 + 91/3. Let y(f) be the second derivative of -v*f**4 + 0*f**2 - 4*f - 1/3*f**3 - 1/10*f**5 + 0. Factor y(m).
-2*m*(m + 1)**2
Find k, given that 52*k**2 - 20*k**3 - 36*k + 8 + 9*k**4 + 27*k**5 - 40*k**4 - 19*k**5 + 19*k**4 = 0.
-2, 1/2, 1
Factor -3/2*h**4 - 6*h + 9/2*h**2 - 6 + 3*h**3.
-3*(h - 2)**2*(h + 1)**2/2
Let c(b) be the first derivative of 2*b**3 - 1/4*b**4 + 8*b - 6*b**2 - 1. Let c(y) = 0. Calculate y.
2
Let u(j) be the first derivative of -j**6/18 - 2*j**5/5 - 7*j**4/6 - 16*j**3/9 - 3*j**2/2 - 2*j/3 + 1. Suppose u(q) = 0. Calculate q.
-2, -1
Let o be (-30)/12 + (-1 - -4). Let n(p) be the second derivative of p + o*p**3 + 1/9*p**4 + 1/3*p**2 + 0. Factor n(v).
(v + 2)*(4*v + 1)/3
Suppose -1/4*z**2 + 0*z + 1/4*z**3 + 0 = 0. What 