 + v*c.
c*(c + 2)
Factor -30 - 15 + 20 - 20*n - 25 - 2*n**2.
-2*(n + 5)**2
Suppose 3*h = -2*h. Find d, given that 4 + 12*d**2 + 20*d**3 - 16*d**4 + 0*d**2 + h - 20*d = 0.
-1, 1/4, 1
Let o be -2*(2 - (1 - -2)). Suppose 3 - 3*y**o - 3/2*y**3 + 3/2*y = 0. What is y?
-2, -1, 1
Let i(m) = m**2 + 10*m + 26. Let a be i(-6). Factor 14/3*z + 4/3 + 10/3*z**a.
2*(z + 1)*(5*z + 2)/3
Let l = 3 - 3. Suppose -g - 5*y = 5, 0 = -0*g - 5*g + 2*y + 29. Factor 2/5*d**4 + 0 - 2/5*d**2 + l*d - 2/5*d**3 + 2/5*d**g.
2*d**2*(d - 1)*(d + 1)**2/5
Let d(v) be the third derivative of v**7/105 - v**6/20 + v**5/10 - v**4/12 - 20*v**2. Determine a so that d(a) = 0.
0, 1
Let v(f) = f**3 + 6*f**2 + 4*f + 9. Let t(m) = m**3 + 6*m**2 + 3*m + 10. Let l(w) = -5*t(w) + 6*v(w). Factor l(b).
(b + 1)**2*(b + 4)
What is r in -1/5*r**2 + 0*r**3 + 1/5*r**4 + 0*r + 0 = 0?
-1, 0, 1
Let j(d) be the first derivative of 15*d**6 - 6*d**5/5 - 31*d**4/2 + 10*d**3 - 2*d**2 - 6. Find b, given that j(b) = 0.
-1, 0, 1/3, 2/5
Suppose -30 = -23*q + 8*q. Solve -11/3*w**3 - 4/3*w**4 - 3*w**q + 1/3 - 1/3*w = 0.
-1, 1/4
Let l(w) be the first derivative of -3/2*w**4 + 3/5*w**5 + 0*w**2 + w**3 + 0*w + 1. Solve l(x) = 0 for x.
0, 1
Let z be (-4)/(-16)*(4 - 0). Let f be (-3)/30 - z/(-2). What is i in 2/5*i**4 - 2/5*i**5 + 0 + 0*i + 2/5*i**3 - f*i**2 = 0?
-1, 0, 1
Factor 1 - 6*m**4 + 3*m**4 + 4*m**4 + 7*m + 6*m**2 + 4*m**3 - 3*m.
(m + 1)**4
Let y(o) = 6*o**4 - 9*o**3 + o**2 - 9*o + 1. Let r(p) = -7*p**4 + 10*p**3 + 10*p - 1. Let f(h) = -5*r(h) - 6*y(h). Factor f(q).
-(q - 1)**4
Let o(z) be the third derivative of 0*z + 0*z**5 + 0 + 0*z**4 + 0*z**3 - 1/120*z**6 - 5*z**2 - 1/210*z**7. Factor o(b).
-b**3*(b + 1)
Factor 6*a**3 - 6*a**2 - 3 + 2 - 2*a**3 - a**4 + 4*a.
-(a - 1)**4
Factor r**2 + 1/4*r**3 - 1 - 1/4*r.
(r - 1)*(r + 1)*(r + 4)/4
Suppose 5*m - 2*z = -7*z, 4*m - 5*z = 27. Suppose -50/7*x**5 + 0 + 0*x - 90/7*x**4 - 8/7*x**2 - 48/7*x**m = 0. Calculate x.
-1, -2/5, 0
Let h = -6232/20493 + 2/1863. Let r = 1/33 - h. Solve r*x**4 + 0*x**2 + 2/3*x**3 - 1/3 - 2/3*x = 0.
-1, 1
Let q be (2/5 - 1) + (-84)/(-90). Find z, given that z**2 + 1/3 - q*z**3 - z = 0.
1
Let n(c) = -c**3 - c**2 + c + 1. Let i(a) = -a**4 - 5*a**3 - 2*a**2 + 7*a + 5. Let u = -19 + 24. Let r(s) = u*n(s) - i(s). Factor r(k).
k*(k - 2)*(k + 1)**2
Let s = -396 + 396. Factor 0 + 2/7*n**3 + s*n**2 - 2/7*n.
2*n*(n - 1)*(n + 1)/7
Let c = -44 - -44. Let f be 14/(-12)*4/(-21). Factor c*w + f - 2/9*w**2.
-2*(w - 1)*(w + 1)/9
Let s(v) be the first derivative of 3*v + 2*v**2 + 2/3*v**3 + 2 + 1/12*v**4. Let m(c) be the first derivative of s(c). Suppose m(q) = 0. What is q?
-2
Suppose 3*u = u + 2*w + 10, 4*u = -3*w + 6. Suppose -2 + 2 - k**2 - 2*k + u*k**2 = 0. Calculate k.
0, 1
Suppose 10 = -2*k + 16. Let p(r) be the first derivative of 0*r**2 + 2/21*r**k + 0*r + 1 + 1/14*r**4. Determine v so that p(v) = 0.
-1, 0
Determine h so that 0 + 0*h**3 - 2/3*h**4 + 0*h + 2/3*h**2 = 0.
-1, 0, 1
Suppose 5*n = 4*b + 24, 0 = -b + 3*b + 5*n - 18. Let q(s) = -s**2. Let h(u) = -3*u**2 + 3*u - 2. Let r(k) = b*h(k) + 2*q(k). Factor r(t).
(t - 2)*(t - 1)
Suppose 5*s + v - 9 = 0, 0 = -3*s - 3*v + 3 - 0. Solve -9*f**s - 5*f**3 + 0*f + 5*f**3 - 3*f**3 - 6*f = 0 for f.
-2, -1, 0
Let q be 24/10 + 4/(-10). Let z(g) be the second derivative of 0 + 1/12*g**4 - q*g + 0*g**3 - 1/2*g**2. Factor z(l).
(l - 1)*(l + 1)
Let n(a) be the first derivative of -4*a**5 + 3*a**4 + 8*a**3/3 - 8. Find u such that n(u) = 0.
-2/5, 0, 1
Let j(x) be the second derivative of 3*x**5/20 + 3*x**4/4 + 12*x. Factor j(r).
3*r**2*(r + 3)
Suppose -8/3*s**2 + 2/3*s**3 + 0 + 8/3*s = 0. Calculate s.
0, 2
Let s = 85/58 - -1/29. Let j(f) be the first derivative of -f + s*f**2 + 2 + 4/3*f**3. Solve j(v) = 0.
-1, 1/4
Let o = 6/383 + 9563/766. Let s(f) be the first derivative of 0*f + 18*f**5 - 6*f**2 - o*f**6 - 1 - 12*f**3 + 33/4*f**4. Factor s(l).
-3*l*(l - 1)**2*(5*l + 2)**2
Let d(a) be the second derivative of a**4/4 + a**3/2 + 7*a. What is y in d(y) = 0?
-1, 0
Let m = -5 + 7. Factor 0 - 1/2*n**3 + 0*n**m + 1/2*n.
-n*(n - 1)*(n + 1)/2
Let d(g) be the first derivative of -2*g**3/21 - g**2/7 + 3. Suppose d(z) = 0. Calculate z.
-1, 0
Let s be (-221)/26 - 1/2. Let l be 16/(-3)*s/36. Factor -2/9*r - 2*r**3 + 0 - l*r**2.
-2*r*(3*r + 1)**2/9
Suppose 5*u = -y - 18, -y + 0*y + 2*u + 17 = 0. Factor 2 - 8*x**2 + y*x**4 + 2*x**2 + 5*x**3 - x - 4*x - 3*x**2.
(x - 1)*(x + 1)**2*(7*x - 2)
Let i(d) be the second derivative of 0 + 3*d - 1/12*d**4 + 3/40*d**5 - 1/60*d**6 + 0*d**2 + 0*d**3. Factor i(a).
-a**2*(a - 2)*(a - 1)/2
Let g(w) be the third derivative of w**7/735 - w**6/84 + w**5/70 + 3*w**4/28 + 2*w**2 - 20. Factor g(h).
2*h*(h - 3)**2*(h + 1)/7
Suppose -5*o = 0, -2*b + 3*o + 0*o + 10 = 0. Solve 6*w**4 + 2*w**b + 0*w**5 - 4*w**2 - 4*w**2 = 0.
-2, 0, 1
Factor 3/7*k**5 + 24/7*k**2 - 48/7 + 3*k**4 - 48/7*k + 48/7*k**3.
3*(k - 1)*(k + 2)**4/7
Suppose -4*t + 25 = 5*m - 63, m + 2*t - 20 = 0. Let l = m - 10. Suppose -z**2 + 3*z**2 - 2*z + l*z = 0. What is z?
-2, 0
Factor -2/5 + 0*c**2 + 4/5*c**3 + 2/5*c**4 - 4/5*c.
2*(c - 1)*(c + 1)**3/5
Let b = 3 + -1. Solve b*h**4 + 2*h**3 + 8*h - 8*h = 0 for h.
-1, 0
Let z(l) be the third derivative of l**7/70 - l**6/30 - 4*l**5/15 + 2*l**4/3 + 8*l**3/3 - 24*l**2. Factor z(x).
(x - 2)**2*(x + 2)*(3*x + 2)
Let u(i) be the first derivative of -1/24*i**6 + 3/16*i**4 - 3 + 0*i + 0*i**5 + 1/6*i**3 + 0*i**2. Factor u(k).
-k**2*(k - 2)*(k + 1)**2/4
Let z(v) = 3*v**4 + 2*v**3 - 2*v + 1. Let c(y) = -y**4 - y**3 - y**2 + y. Suppose 0 = 2*x + 4 - 0. Let d(g) = x*c(g) - z(g). Solve d(b) = 0.
-1, 1
Suppose 16 = -4*d + 5*l - 30, 3 = -d - 3*l. Let v be (-5)/3 - (d + 6). Solve v*s - 1/3*s**2 - 4/3 = 0 for s.
2
Let o be (3 - -3)/3*1. Let l(g) be the second derivative of 3/80*g**5 + g - 1/16*g**4 + 1/24*g**3 - 1/120*g**6 + 0*g**o + 0. Factor l(k).
-k*(k - 1)**3/4
Let s(q) be the second derivative of q**7/189 - q**6/45 + 2*q**4/27 + 15*q. Find v such that s(v) = 0.
-1, 0, 2
Let m = 2 + 0. Let f = -7 - -8. Find y such that f - 1 + y + y**m = 0.
-1, 0
Let q(x) be the first derivative of x**7/210 + x**6/60 + x**5/60 - x**2/2 - 1. Let k(f) be the second derivative of q(f). Factor k(i).
i**2*(i + 1)**2
Let i(k) be the second derivative of k**6/75 + k**5/25 + k**4/30 - k. Factor i(y).
2*y**2*(y + 1)**2/5
Let i = -9 + 11. Solve -2*r**2 - r + 4*r**3 - i*r**4 - 2*r**3 - r + 4*r**2 = 0.
-1, 0, 1
Let c = 5 + -1. Solve j**3 - j**3 + 0*j**c - j**4 = 0 for j.
0
Find k such that -3*k**2 - 33*k + 37 - 47 + 10*k**2 = 0.
-2/7, 5
Let k(d) be the second derivative of -1/20*d**6 + 0 + 0*d**3 + 4*d + 0*d**2 - 1/24*d**4 + 1/10*d**5. Find p, given that k(p) = 0.
0, 1/3, 1
Let r(a) = a**5 + 5*a**4 + 9*a**3 + 5*a + 5. Let n(w) = -w**5 - 3*w**4 - 5*w**3 - 3*w - 3. Let x(z) = 10*n(z) + 6*r(z). Factor x(q).
-4*q**3*(q - 1)*(q + 1)
Let r(o) be the second derivative of o**5/10 + o**4/6 - o**3/6 + o. Let h be r(1). Factor 8/7*s**h - 2/7 - 8/7*s + 2/7*s**2.
2*(s - 1)*(s + 1)*(4*s + 1)/7
Let z(f) be the first derivative of f**4/2 + 2*f**3 - f**2 - 6*f - 1. Factor z(b).
2*(b - 1)*(b + 1)*(b + 3)
Factor 2*r**2 + 1 - 5/2*r - 1/2*r**3.
-(r - 2)*(r - 1)**2/2
Let b(n) = 2*n**2 - 18*n + 16. Let o(q) = 3*q**2 - 19*q + 15. Let y(f) = 3*b(f) - 4*o(f). Factor y(l).
-2*(l - 3)*(3*l - 2)
Let s(h) = h**3 - 7*h**2 + 7*h - 4. Suppose 5*v - 13 = 17. Let a be s(v). Solve 0*y**a - 2/9*y**3 + 2/9*y + 0 = 0.
-1, 0, 1
Let n = -271/90 + 28/9. Let r(v) be the first derivative of -1/5*v**2 + 0*v - 4 - n*v**4 + 4/15*v**3. Factor r(q).
-2*q*(q - 1)**2/5
Let t = 1043/4 - 260. Factor -3/4*s + 1/4 + t*s**2 - 1/4*s**3.
-(s - 1)**3/4
Let x(a) be the third derivative of a**6/450 - a**5/600 + a**3/2 - a**2. Let y(v) be the first derivative of x(v). Factor y(c).
c*(4*c - 1)/5
Let p(h) be the second derivative of h**6/15 - 9*h**5/10 + 7*h**4/2 - 19*h**3/3 + 6*h**2 + 11*h. Factor p(d).
2*(d - 6)*(d - 1)**3
Let h = -294 + 294. Suppose 2/7*m**3 - 6/7*m**2 + h*m + 8/7 = 0. Calculate m.
-1, 2
Factor 3/5*k**4 + 18/5*k + 33/5*k**2 + 0 + 18/5*k**3.
3*k*(k + 1)*(k + 2)*(k + 3)/5
Let c be -1 + 2 - (-23 + -1). Factor 33*q**3 + 48*q**4 - 9*q**3 - 2*q + 5*q + 4*q**2 - c*q**2.
3*q*(q + 1)*(4*q - 1)**2
Let c = 266 + -5319/20. Let s(l) be the first derivative of -c*l**5 - 1/4*l - 1/2*l**2 - 1 - 1