4/3*c**2 - 16/3*c + 98/9*c**3.
2*(c - 1)*(7*c + 2)**2/9
Let k(n) be the first derivative of -25*n**3/6 + 5*n**2 - 2*n - 3. Factor k(u).
-(5*u - 2)**2/2
Suppose 0 - 1/2*a + 2*a**3 + 3/2*a**2 = 0. Calculate a.
-1, 0, 1/4
Factor 7*i**3 - 4*i**3 - 3*i**3 - 4*i**3 - 2*i**2 - 2*i**4.
-2*i**2*(i + 1)**2
Factor 0 + 1/8*g**3 + 1/8*g**5 + 0*g + 0*g**2 + 1/4*g**4.
g**3*(g + 1)**2/8
Suppose 25 = 3*s - 20. Let r = s - 11. Let -2 - r*u + 2 + 2*u**2 = 0. Calculate u.
0, 2
Let q(m) be the second derivative of m**6/135 + m**5/15 + 13*m**4/54 + 4*m**3/9 + 4*m**2/9 - 11*m. Factor q(v).
2*(v + 1)**2*(v + 2)**2/9
Factor -v**4 + 3*v**3 - 3*v**3 + 3*v**3 - 2*v**3.
-v**3*(v - 1)
Let u = -107/2 - -325/6. Determine f, given that 0 - 8/9*f**2 - 2/9*f**3 - u*f = 0.
-3, -1, 0
Let d(b) be the second derivative of b**5/240 + 3*b**2/2 - 5*b. Let l(s) be the first derivative of d(s). Factor l(o).
o**2/4
Let z = -6135/8 - -767. Factor 0 + 1/4*l - 1/8*l**3 + z*l**2.
-l*(l - 2)*(l + 1)/8
Let y(h) be the second derivative of -1/36*h**4 + 3*h + 0*h**2 + 0*h**3 + 0. Find s, given that y(s) = 0.
0
Let q = 274 - 274. Factor -2/9*j**3 + 2/9*j**4 + 0*j + 2/9*j**5 + q - 2/9*j**2.
2*j**2*(j - 1)*(j + 1)**2/9
Let y = 19 - 3. Suppose 0 = -3*j + 81 - 6. Factor j*d**3 - 7*d**3 + 10 + 26*d**2 + 32*d - 2 + y*d**2.
2*(d + 1)*(3*d + 2)**2
Let v be (-1)/(0 - 1/2). What is q in -4*q**3 + 4*q**v + 2*q**3 + 0*q**3 = 0?
0, 2
Suppose 2*n = -2*t + 10, -5*n - 32 = -4*t - 12. Let l = 2 + n. Suppose 1 - 1 - 2*s**4 - 2*s**3 - 4*s**2 + 6*s**l + 2*s**5 = 0. Calculate s.
-1, 0, 1
Let c = -43/5 + 1037/120. Let l(b) be the second derivative of 0*b**3 - 1/60*b**6 + c*b**4 + 1/40*b**5 + 3*b - 1/84*b**7 + 0 + 0*b**2. Solve l(m) = 0 for m.
-1, 0, 1
Let v(m) be the first derivative of -8*m**5/5 + 3*m**4/2 + 2*m**3/3 + 11. Factor v(r).
-2*r**2*(r - 1)*(4*r + 1)
Let t(w) be the first derivative of 1/4*w**2 - 8 + 1/3*w**3 - w - 1/8*w**4. Factor t(c).
-(c - 2)*(c - 1)*(c + 1)/2
Let l(w) = -w**2 + w + 1. Let b(z) = 3*z**2 - 40*z - 328. Let y(x) = 5*b(x) + 20*l(x). Suppose y(a) = 0. What is a?
-18
Let l(r) be the third derivative of -r**9/30240 + r**8/3360 - r**7/1008 + r**6/720 + r**4/6 - 3*r**2. Let m(f) be the second derivative of l(f). Factor m(q).
-q*(q - 2)*(q - 1)**2/2
Determine w, given that -10*w + 3*w + 8*w**2 + 3*w - 4*w**3 = 0.
0, 1
Let n(f) = f**5 + 5*f**4 - 3*f**3 - 3*f**2 - 2*f. Let h(i) = 3*i**5 + 21*i**4 - 12*i**3 - 12*i**2 - 9*i. Let t(v) = -2*h(v) + 9*n(v). Factor t(p).
3*p**2*(p - 1)*(p + 1)**2
Let g = 6 + 0. Let n(o) = o**2 - 6*o + 5. Let d be n(g). Factor 0*h**3 - 6*h + 3*h**d - 4*h**2 + 5*h - 2*h**3 - 2*h**2 + 1 + 5*h**4.
(h - 1)*(h + 1)**3*(3*h - 1)
Factor 3*o**2 + 67*o + 3*o**3 - 67*o.
3*o**2*(o + 1)
Suppose -3*d + 2*w = -2, 5*w - 1 + 6 = 0. Let p(t) be the first derivative of 3 + d*t + 1/4*t**4 + 0*t**2 + 1/3*t**3. Factor p(b).
b**2*(b + 1)
Let s = 3 + 1. Suppose 18 = -k - 0*i - s*i, -3*k + 26 = -4*i. Factor -z**2 - z - z + 2*z**k + 1.
(z - 1)**2
Let t(h) be the first derivative of 4*h**5/5 + 6*h**4 + 12*h**3 - 8*h**2 - 48*h - 47. Let t(z) = 0. What is z?
-3, -2, 1
Let n be 3 - (12*-1)/(-4). Let b(s) be the second derivative of -s**2 - 2*s + 1/2*s**3 - 1/12*s**4 + n. Solve b(t) = 0.
1, 2
Let b(k) be the third derivative of k**8/168 - k**6/30 + k**4/12 - 13*k**2. Factor b(h).
2*h*(h - 1)**2*(h + 1)**2
Let k(u) be the first derivative of -u**4/16 + u**3/12 + u**2/4 + 3. Determine s so that k(s) = 0.
-1, 0, 2
Let n(b) = 29*b**3 + 41*b**2 - 53*b + 13. Let p(i) = -i**3 - i**2 - i + 1. Let d(x) = -2*n(x) - 22*p(x). Factor d(r).
-4*(r + 3)*(3*r - 2)**2
Suppose u + 35 = 37. Factor -2/7*d**3 + 0 + 4/7*d**u - 2/7*d.
-2*d*(d - 1)**2/7
Let a(w) be the first derivative of -w**6/24 - 3*w**5/10 - 5*w**4/8 + 11*w**2/8 + 3*w/2 - 54. Find h such that a(h) = 0.
-3, -2, -1, 1
Let y = 2/39 + 20/117. Let 2/9*r - y*r**2 + 0 = 0. What is r?
0, 1
Let s be 0/((-1)/(2/(-4))). Suppose -6 = -3*v - s. Factor 0*g + 1/4*g**v - 1/4.
(g - 1)*(g + 1)/4
Let t(u) = -19*u**2 - 5*u + 3. Let a(x) = -7*x**2 - 2*x + 1. Let i(r) = -11*a(r) + 4*t(r). Determine h so that i(h) = 0.
-1
Let d(q) = 3*q**4 - 9*q**3 + 3*q**2 - 3*q - 6. Let j(s) = s**3 - s**2 + 1. Let v(g) = -d(g) - 12*j(g). Factor v(n).
-3*(n - 1)**2*(n + 1)*(n + 2)
Let h(m) be the third derivative of 0 + 0*m**5 + 1/90*m**6 - 1/315*m**7 + 0*m + 2*m**2 + 1/9*m**3 - 1/18*m**4. Factor h(t).
-2*(t - 1)**3*(t + 1)/3
Let v be 8/(-160)*((-2)/12)/1. Let f(i) be the third derivative of 0 - 1/6*i**3 + i**2 + v*i**5 + 1/48*i**4 + 0*i. Let f(n) = 0. What is n?
-2, 1
Let z(o) = -o**4 + 4*o**3 - o**2 + 3*o + 9. Let f(p) = -4*p**3 + 2*p**2 - 2*p - 8. Let g(l) = -7*f(l) - 6*z(l). Solve g(a) = 0.
-1, 1/3, 1
Let w(i) be the second derivative of 0*i**3 + 0*i**2 - 1/45*i**5 - 1/135*i**6 + i + 0 - 1/54*i**4. Factor w(q).
-2*q**2*(q + 1)**2/9
Let j be 4/(-6)*15/(-2). Let w be -2*(9/(-6) - -3). Let a(r) = -r**2 + 11*r + 16. Let l(d) = -d**2 + 5*d + 8. Let z(p) = j*l(p) + w*a(p). Factor z(m).
-2*(m + 2)**2
Let k(g) = -g**2 + g. Let z(b) = 4*b**3 - 27*b**2 + 28*b - 5. Let u(s) = 6*k(s) - 3*z(s). Factor u(i).
-3*(i - 5)*(i - 1)*(4*i - 1)
Solve 1/3*n**3 + 0*n**2 + 0 - 1/3*n = 0.
-1, 0, 1
Suppose -14 = -3*d + u, u = -4*d - 0 + 7. Solve -8/9*z**2 - 2/9*z**d + 0 - 8/9*z = 0 for z.
-2, 0
Factor 1/4*z**3 + 1/4*z - 1/2*z**2 + 0.
z*(z - 1)**2/4
Let -42*y + 40*y + 1 + 4 + 0 - 7*y**2 = 0. What is y?
-1, 5/7
Let t(g) be the first derivative of g**4/36 + g**3/18 - 4*g - 4. Let i(a) be the first derivative of t(a). Solve i(w) = 0.
-1, 0
Let w(o) = -o**3 - o**2 - 1. Let v be (10/(-15))/((-2)/3). Let n(y) = -30*y**3 + 33*y**2 - 12*y - 3. Let k(i) = v*n(i) - 3*w(i). Factor k(d).
-3*d*(3*d - 2)**2
Let b(m) = -14*m**4 + 28*m**3 + 22*m**2 - 28*m - 8. Let r(v) = -v**3 + 1 - 4*v**3 + 2*v**4 + 4*v + v**3 - 3*v**2. Let k(p) = -6*b(p) - 44*r(p). Factor k(t).
-4*(t - 1)**3*(t + 1)
Let r(z) = 4*z + 10. Let i(u) = -3*u - 7. Let s(x) = -7*i(x) - 5*r(x). Let q be s(3). Find f, given that 1/2*f**q - 1/2 + 0*f = 0.
-1, 1
Let j(g) be the first derivative of -4*g**5/5 - g**4 + 4*g**3 + 10*g**2 + 8*g + 10. Solve j(u) = 0 for u.
-1, 2
Let o be 12/15*(-4 + (-203)/(-42)). Factor o + 1/3*h**2 - h.
(h - 2)*(h - 1)/3
Let d(j) be the first derivative of j**8/336 - 3*j**7/280 + j**6/240 - 3*j**2/2 - 1. Let a(t) be the second derivative of d(t). Factor a(n).
n**3*(n - 2)*(4*n - 1)/4
Find t such that 9 - t**2 + 9 - 9 - 8*t = 0.
-9, 1
Let z(j) be the third derivative of -5*j**8/1848 - 17*j**7/1155 - 7*j**6/220 - j**5/30 - j**4/66 - 2*j**2. Factor z(p).
-2*p*(p + 1)**3*(5*p + 2)/11
Let f(b) be the third derivative of -b**7/420 + b**6/160 + b**5/240 - b**4/32 + b**3/24 - 13*b**2. Suppose f(l) = 0. What is l?
-1, 1/2, 1
Factor 7*z**2 + 17/2*z**3 + 0 - 2*z + 9/4*z**4.
z*(z + 2)**2*(9*z - 2)/4
Let z(j) = -j**3 - 3*j**2 + 4*j + 4. Let k = 2 + -6. Let g be z(k). Suppose g*o**2 + 1 + 2*o + 8*o**4 - 1 - 14*o**3 = 0. What is o?
-1/4, 0, 1
Let q be 10/(-4)*(-20)/25. Suppose 4*g + 5*c - 12 = 0, 4 = q*g + 3*c - 2. Factor 2/3*l**g - 4/3 - 8/3*l**2 + 10/3*l.
2*(l - 2)*(l - 1)**2/3
Let k = 53 + -26. Let b = -107/4 + k. Factor 0*c - b*c**2 + 1/4.
-(c - 1)*(c + 1)/4
Determine x so that -25*x**3 - 2*x + 2*x**3 - 23*x**4 - 4*x**3 - 8*x**2 - 5*x**2 - 7*x**5 = 0.
-1, -2/7, 0
Let d(q) be the third derivative of q**5/390 + 4*q**4/39 + 64*q**3/39 + 34*q**2. Find b, given that d(b) = 0.
-8
Let l be 3/6*6 - 1. Let d(z) = 6*z**2 - 3*z + 1. Let c be d(l). Factor -10*f**3 - 8 - 37*f**2 + 0*f**3 + 3*f**2 - 13*f - c*f.
-2*(f + 1)*(f + 2)*(5*f + 2)
Let z(q) be the second derivative of 1/6*q**4 + 0 - 1/15*q**6 + 0*q**2 + 1/25*q**5 + 4*q - 2/15*q**3. Solve z(y) = 0 for y.
-1, 0, 2/5, 1
Let l = 1 + -1. Suppose l = 2*a + 4*y - 6, 0 = 2*a + 3*a - 4*y - 15. Factor 5*r**3 - 20*r**2 - 2 - 4*r + 2*r**5 + 15*r**a + 14*r - 10*r**4.
2*(r - 1)**5
Factor 2/3 - 8/9*p + 2/9*p**2.
2*(p - 3)*(p - 1)/9
Let q(w) = -2*w**2 - 13*w - 11. Let d be (-1)/3 + 160/12. Let h(l) = -l**2 - 6*l - 5. Let s(p) = d*h(p) - 6*q(p). Factor s(v).
-(v - 1)*(v + 1)
Let v be (3 - 3)/(0 - 1). Let q be (-1 + (0 - v))*-4. Suppose 16*d + d**2 - 13*d**3 + d**2 - q + 4*d**4 + d**2 = 0. What is d?
-1, 1/4, 2
Let r = 0 - 0. Let k be 0/(-5 - -2) + 2. Factor r*a**2 + 0*a**2 + 2*a**3 + 2*a**k.
2*a**2*(a + 1)
Let n(t) be the thir