*8/336 + v**7/70 + v**6/40 + v**5/60 + 18*v**2. Factor l(a).
a**2*(a + 1)**3
Let r(g) be the first derivative of -g**6/2 + 51*g**5/20 - 21*g**4/4 + 11*g**3/2 - 3*g**2 - 3*g + 2. Let w(j) be the first derivative of r(j). Factor w(c).
-3*(c - 1)**3*(5*c - 2)
Find b, given that -16*b - 8 - 4*b**3 - 1/2*b**4 - 12*b**2 = 0.
-2
Suppose -11*s**2 + 0 - 5 + 2 + 14*s**2 = 0. Calculate s.
-1, 1
Let n = 5 + -5. Let f(k) be the third derivative of -2*k**2 - 1/24*k**4 + 0*k**3 + n*k - 1/60*k**5 + 1/210*k**7 + 0 + 1/120*k**6. Suppose f(z) = 0. What is z?
-1, 0, 1
Let k(l) be the third derivative of -l**5/48 + 7*l**4/96 - l**3/12 - 8*l**2. Factor k(o).
-(o - 1)*(5*o - 2)/4
Let c be 0/(3 - 20/4). Let w(u) be the second derivative of 1/6*u**3 + c + 1/12*u**4 + 0*u**2 + u. Let w(q) = 0. Calculate q.
-1, 0
Let l = 2 + 2. Find r such that 4*r - 9*r**3 + l*r**3 - 8*r + 12*r**2 = 0.
0, 2/5, 2
Let s be (38/(-20) - -2)*2. Let f(t) be the first derivative of s*t**2 + 1/10*t**4 + 0*t + 4/15*t**3 - 1. Factor f(z).
2*z*(z + 1)**2/5
Factor 2/5*g - 2/5 - 2*g**3 + 4/5*g**4 + 6/5*g**2.
2*(g - 1)**3*(2*g + 1)/5
Let x(d) be the second derivative of -d**5/140 + d**4/7 - 8*d**3/7 + 32*d**2/7 + 7*d. Factor x(v).
-(v - 4)**3/7
Let g(w) be the first derivative of -w**8/5040 - w**7/2520 + w**6/1080 + w**5/360 - w**3 - 4. Let b(i) be the third derivative of g(i). Factor b(x).
-x*(x - 1)*(x + 1)**2/3
Suppose -3*x + 9 = 3*f + 3, 3*f - 5*x = -10. Factor -q**2 - 7/2*q**5 - 3/2*q**3 + 0 + f*q + 6*q**4.
-q**2*(q - 1)**2*(7*q + 2)/2
Determine v so that 8*v - 32 - 1/2*v**2 = 0.
8
Suppose 4*t - 7 = 1. Factor -t*p**3 - 2/3*p**2 + 0 - 2*p**4 - 2/3*p**5 + 0*p.
-2*p**2*(p + 1)**3/3
Let n = -2/49 + 59/245. Let a(d) = d**3 + 2*d**2 - 3*d + 3. Let k be a(-3). Factor 2/5*r**k + 0 + 0*r**4 - 1/5*r**5 + 0*r**2 - n*r.
-r*(r - 1)**2*(r + 1)**2/5
Suppose -2 - 121*n**2 + 119*n**2 + 2 = 0. What is n?
0
Let j = 7 - 1. Let n = 6 - j. Factor 0*c**4 + n*c**2 + 0*c + 2/3*c**3 - 2/3*c**5 + 0.
-2*c**3*(c - 1)*(c + 1)/3
Let y(u) = -10*u**4 + 18*u**3 - 22*u**2 - 50*u - 16. Let c(w) = -3*w**4 + 6*w**3 - 7*w**2 - 16*w - 5. Let t(h) = -16*c(h) + 5*y(h). Factor t(q).
-2*q*(q - 1)*(q + 1)*(q + 3)
Solve -18/7 + 39/7*y + 15/7*y**2 = 0 for y.
-3, 2/5
Let i(q) be the first derivative of q**3/12 + 3*q**2/4 - 7*q/4 + 32. Determine m so that i(m) = 0.
-7, 1
Let c(w) = 3*w**4 - 12*w**3 + 27*w**2 - 21*w + 3. Let y(g) = -3*g**4 + 11*g**3 - 27*g**2 + 21*g - 2. Let a(u) = -4*c(u) - 3*y(u). Solve a(d) = 0 for d.
1, 2
Suppose 4*b - 6 = -h, 0 = -2*h - 3*b + 9 - 2. Let d(l) be the first derivative of 4/3*l**3 - 5*l**h - 4*l - 2 + 5/2*l**4. Factor d(z).
2*(z - 1)*(z + 1)*(5*z + 2)
Suppose 0*b + 6 = 2*b. Suppose 0*m + 3*m + 18 = 5*s, -14 = -b*s + 5*m. Determine p so that -2/3*p + 2/3*p**s + 8/3*p**2 - 8/3*p**4 + 0 = 0.
-1, 0, 1/4, 1
Let -1/2*f + 0 + 5/2*f**3 - 3/2*f**4 - 1/2*f**2 = 0. Calculate f.
-1/3, 0, 1
Suppose -q - 3*u + 4 = -4*u, 0 = -3*q - u + 4. Suppose 21*h**2 - 5*h**3 - h**3 - 6*h - 7 - q = 0. Calculate h.
-1/2, 1, 3
Let l = 772/5 - 154. Factor -9/5*w**3 + 0 - 4/5*w**4 + 0*w - l*w**2.
-w**2*(w + 2)*(4*w + 1)/5
Let -1/7*r + 1/7*r**3 + 1/7*r**4 + 0 - 1/7*r**2 = 0. What is r?
-1, 0, 1
Let b(o) be the second derivative of 0*o**3 - 1/15*o**2 + 1/90*o**4 + 0 - o. Factor b(c).
2*(c - 1)*(c + 1)/15
Let j = 1279/10 + -128. Let w = 7/20 + j. Let 1/4*i - w*i**2 + 1/2 = 0. Calculate i.
-1, 2
Let g(l) be the first derivative of 2*l**5/5 + l**4/2 - 2*l**3/3 - l**2 + 21. Let g(o) = 0. What is o?
-1, 0, 1
Let t(b) = -b**2 + 4*b + 2. Let g be t(5). Let r be (g/(-2))/(4/8). Solve -8*j - 8*j**r - 2 - 12*j**2 - j**4 - 3*j**4 + 2*j**4 = 0.
-1
Let o(d) be the second derivative of -d**6/40 + d**5/16 + d**4/24 + 6*d. Suppose o(v) = 0. What is v?
-1/3, 0, 2
Suppose 4*r = 4*s, -3*s + 0*s - 4*r = -28. Suppose -6*u + 20 = -s*u - 5*b, 0 = -b - 2. Determine g, given that -5 + u - g**2 + 2 + g = 0.
-1, 2
Let l(c) = -5*c**2 - 17*c - 7. Let r(v) = -4*v**2 - 16*v - 6. Let o(b) = -6*l(b) + 7*r(b). Find k such that o(k) = 0.
0, 5
Let g(x) be the second derivative of x**5/120 - x**4/24 + x**3/12 - x**2/2 + 2*x. Let u(d) be the first derivative of g(d). Determine b so that u(b) = 0.
1
Let m(x) be the first derivative of 4*x**5/5 - x**4/4 - 4*x**3/3 + x**2/2 + 2. Factor m(h).
h*(h - 1)*(h + 1)*(4*h - 1)
Let r(j) = j**2 + 5*j - 10. Let h be r(-7). Suppose -t = -h*t + 24. What is k in 3*k**2 - k**2 + 11*k**3 + t*k**4 + 7*k**5 + 0*k**4 + 8*k**4 = 0?
-1, -2/7, 0
Let x = -6 - -4. Let q be 1 - 2/x - 2. Factor -u**2 + q - 3*u**3 + 2*u**3 + 1 + u.
-(u - 1)*(u + 1)**2
Determine u so that 5/4*u**2 + 15 + 35/4*u = 0.
-4, -3
Let q(k) be the third derivative of k**5/90 - k**4/18 + 8*k**2. Determine h so that q(h) = 0.
0, 2
Let l be -1 + 1 - 6/3. Let k be (-11)/l - (-9)/(-6). Factor 2/5*t**2 - 2/5*t + 0 + 2/5*t**3 - 2/5*t**k.
-2*t*(t - 1)**2*(t + 1)/5
Let q be ((-1)/2*1)/(-1). Let y = -25 + 27. Let q*t + 0 - 1/2*t**y = 0. Calculate t.
0, 1
Let p(c) be the second derivative of -5*c**4/32 - c**3/4 + 3*c**2/16 - 6*c + 2. Let p(m) = 0. What is m?
-1, 1/5
Suppose -7 - 7 = -5*c - 3*w, 3*w - 2 = -2*c. Let d(z) be the third derivative of 2*z**2 - 1/20*z**5 + 0 - 1/6*z**3 - 1/120*z**6 + 0*z - 1/8*z**c. Factor d(o).
-(o + 1)**3
Suppose -r - 5*o = -1, -5*r = -r - 3*o - 4. Let c be 1/r - 5/(-4). Suppose 3/4*y**2 + 3/2 - c*y = 0. Calculate y.
1, 2
Let c be (-4)/(-18) + (-24)/(-141). Let n = -8/47 + c. Find a, given that -n*a - 2/9 + 4/9*a**3 + 4/9*a**2 - 2/9*a**5 - 2/9*a**4 = 0.
-1, 1
Find c such that -21/5*c + 6/5 + 3*c**2 = 0.
2/5, 1
Suppose -3*q = -0*q + 27. Let g = 17 + q. Solve -2*f**2 + 4 - g - f - 5*f = 0 for f.
-2, -1
Find r, given that 3/4*r**2 - 1/4*r**4 + 0 + 0*r**3 + 1/2*r = 0.
-1, 0, 2
Let f(m) = -8*m**3 + 4*m**2 + 8*m - 4. Let s(y) = 3 + 4*y - 3*y**2 - 8*y + 7*y**3 - 3*y. Let c(b) = 5*f(b) + 6*s(b). Factor c(k).
2*(k - 1)*(k + 1)**2
Let x(n) be the first derivative of -8*n**5/45 - 4*n**4/9 + 2*n**3/9 + 5*n**2/9 - 4*n/9 + 5. Find k such that x(k) = 0.
-2, -1, 1/2
Let v(r) be the first derivative of -3*r**4 - 44*r**3/3 - 10*r**2 + 12*r - 3. Factor v(o).
-4*(o + 1)*(o + 3)*(3*o - 1)
Let v(w) be the third derivative of w**6/24 - w**5/12 - 5*w**4/24 + 5*w**3/6 - 5*w**2. Suppose v(c) = 0. What is c?
-1, 1
Suppose 4 = -s + 6. Let q be (-3 - -2)/s - -2. Suppose -q*a + 1 + 1/2*a**2 = 0. Calculate a.
1, 2
Let x(g) be the first derivative of 5/14*g**4 + 4/7*g - 5 - 5/7*g**2 - 4/21*g**3. Factor x(r).
2*(r - 1)*(r + 1)*(5*r - 2)/7
Let j(v) be the third derivative of -v**8/420 + 4*v**7/525 + v**6/75 - 4*v**5/75 - v**4/30 + 4*v**3/15 - 2*v**2. Suppose j(i) = 0. Calculate i.
-1, 1, 2
Let c(z) be the first derivative of z**8/840 + z**7/420 - z**6/60 - z**5/12 - z**4/6 + 7*z**3/3 + 3. Let r(s) be the third derivative of c(s). Factor r(m).
2*(m - 2)*(m + 1)**3
Let q(z) be the second derivative of -z**7/420 - z**6/36 - z**5/20 + 3*z**4/4 + 7*z**3/6 - 9*z. Let i(j) be the second derivative of q(j). Factor i(v).
-2*(v - 1)*(v + 3)**2
Let 1/3*i**5 - 1/3 - 2/3*i**2 + i**4 + 2/3*i**3 - i = 0. What is i?
-1, 1
Let i = 11 + -5. Let y = -2 + i. Find m, given that 2/5*m**2 + 0*m**3 - 2/5*m**y + 0 + 0*m = 0.
-1, 0, 1
Suppose x = -0*x + 20. Let v be (x/3 - 3) + -3. Suppose 2/3*l**2 + 0*l**3 - v*l**4 + 0*l + 0 = 0. Calculate l.
-1, 0, 1
Let -3/8 - 27/8*u**3 - 45/8*u**2 - 21/8*u = 0. Calculate u.
-1, -1/3
Let x be 10/12*(-13)/(-5). Let k = 89/30 - x. Find o such that 4/5 - 2/5*o**3 - k*o**2 + 2/5*o = 0.
-2, -1, 1
Let y(s) be the first derivative of s**6/8 - 3*s**4/16 - 1. Factor y(d).
3*d**3*(d - 1)*(d + 1)/4
Let t(n) = -5*n**2 + 0*n**2 - 7*n + 16 + 10*n + 2*n**2. Let a(x) = 8*x**2 - 8*x - 40. Let v(q) = -5*a(q) - 12*t(q). Factor v(d).
-4*(d - 2)*(d + 1)
Suppose -9 = 4*v - 17. Factor 1/2 - 3/4*b + 1/4*b**v.
(b - 2)*(b - 1)/4
Factor q**3 - 17*q**2 + 13*q**2 + 3*q**3.
4*q**2*(q - 1)
Factor 2/5*i**4 + 0 - 2/5*i**5 + 0*i**3 + 0*i + 0*i**2.
-2*i**4*(i - 1)/5
Let v(o) = 7*o**3 - 6*o**2 + 5*o + 3. Let x(r) = 3*r**3 - 3*r**2 + 2*r + 2. Let m(t) = -2*v(t) + 5*x(t). Suppose m(b) = 0. Calculate b.
-1, 2
Let u(n) be the first derivative of 2*n**7/105 + n**6/15 + n**5/15 - n**2 - 2. Let q(o) be the second derivative of u(o). Determine k, given that q(k) = 0.
-1, 0
Factor 1/10*j**3 - 1/10*j**2 - 3/10 - 1/2*j.
(j - 3)*(j 