i) = 20*i**4 - 16*i**3 - 8*i**2 + 16*i - 12. Let c(a) = a + a**4 + a**3 - 2 - 2*a**3 - 4 + 5. Let l(g) = -16*c(g) + s(g). Factor l(d).
4*(d - 1)**2*(d + 1)**2
Let o(c) be the third derivative of 7*c**5/20 - 25*c**4/8 - 6*c**3 + 4*c**2 + c. Factor o(d).
3*(d - 4)*(7*d + 3)
Let x(n) = n**2 + 1. Let k(z) = -4*z**2 + 20*z + 44. Let j(p) = 2*k(p) + 12*x(p). Factor j(q).
4*(q + 5)**2
Let v(c) = c**3 + 3*c**2 + 5*c + 3. Let d(y) = 3*y**2 + 4*y**3 + 2 + 4*y - 4*y**3 + 4*y**3 - 3*y**3. Let i(j) = 6*d(j) - 4*v(j). Factor i(x).
2*x*(x + 1)*(x + 2)
Let y = 22 + -16. Let o(x) = x - 6. Let a be o(y). Factor -2/5*i - 8/5*i**2 + a.
-2*i*(4*i + 1)/5
Let z(u) be the second derivative of u**6/270 + u**5/270 - u**4/54 - u**3/27 + 2*u**2 - 3*u. Let w(l) be the first derivative of z(l). Factor w(n).
2*(n - 1)*(n + 1)*(2*n + 1)/9
Let a be (-3 + 0 + 3)/(-2). Let n(m) be the second derivative of 1/12*m**4 + a + 0*m**2 + 0*m**5 + 0*m**3 - 1/30*m**6 - 3*m. Factor n(s).
-s**2*(s - 1)*(s + 1)
Let c(f) be the third derivative of 0 - 1/210*f**5 + 0*f + 1/84*f**4 - 3*f**2 + 0*f**3. Factor c(a).
-2*a*(a - 1)/7
Let z(y) be the second derivative of 7*y**6/15 - y**5/5 - 7*y**4/6 + 2*y**3/3 + 4*y. Factor z(n).
2*n*(n - 1)*(n + 1)*(7*n - 2)
Suppose -2*x - 2*h = 2*h, 3*x + 4*h = 0. Let f(w) be the second derivative of x - w - 1/30*w**5 + 1/9*w**4 + 0*w**2 - 1/9*w**3. Solve f(o) = 0.
0, 1
Let x(u) = -u**2 - 5*u + 1. Let y(q) be the third derivative of q**4/8 + 3*q**2. Let g(b) = 3*x(b) + 5*y(b). Let g(v) = 0. What is v?
-1, 1
Let o(r) be the first derivative of -r**3/3 + r + 1. Let b(i) = -i**3 - 3*i**2 + i + 3. Let q be (10/(-20))/(1/(-2)). Let a(k) = q*b(k) - 3*o(k). Factor a(v).
-v*(v - 1)*(v + 1)
Let g(q) be the second derivative of q**7/105 - 2*q**6/225 - q**5/25 + 2*q**4/45 + q**3/15 - 2*q**2/15 + 27*q. Determine f so that g(f) = 0.
-1, 2/3, 1
Let v(n) be the second derivative of -n**6/30 + n**5/10 + n**4/4 - 4*n**3/3 + 2*n**2 - 29*n. Solve v(b) = 0.
-2, 1, 2
Let t(q) = q**2 + 6*q + 11. Let v be t(-7). Let k = -15 + v. Factor 8/3 - 1/3*d**k - 4*d + 2*d**2.
-(d - 2)**3/3
Factor 2/11*r**2 - 18/11*r + 16/11.
2*(r - 8)*(r - 1)/11
Let q(u) be the third derivative of -u**7/420 + u**6/120 + u**5/40 - u**4/6 + u**3/3 + 2*u**2. Solve q(d) = 0 for d.
-2, 1, 2
Let r(g) = g**2 - 1. Let d(m) = -10*m**2 + 2*m + 3. Let h(u) = -d(u) - 3*r(u). Determine y so that h(y) = 0.
0, 2/7
Find v, given that 2/13*v**2 + 0*v + 0 = 0.
0
Let 2*g**2 - 1 + g**5 - g**4 + g + 2*g**2 - 2*g**2 - 2*g**3 = 0. Calculate g.
-1, 1
Let x(n) = -n**3 - 7*n**2 + n + 9. Let a = 2 - 9. Let q be x(a). Determine t, given that -2*t**4 + 2*t**q - 4/7*t**3 + 0 + 4/7*t = 0.
-1, -2/7, 0, 1
Suppose -4*i + 27 = 11. Determine j so that -4*j**i + 6*j**4 - j**2 + 2*j**2 - 3*j**2 = 0.
-1, 0, 1
Suppose 39*j = 46*j - 42. Let a(b) be the first derivative of -4 + 12*b - 7*b**3 - 1/2*b**j + 0*b**2 + 3/4*b**4 + 9/5*b**5. Suppose a(y) = 0. What is y?
-1, 1, 2
Let r = -16 + 22. Find b, given that -13*b**2 + 0*b - 3*b**4 + 10*b**2 - r*b**3 + 0*b = 0.
-1, 0
Let o = -10 - -14. Suppose -b = -o*b. Factor -2/5*z**2 + 0*z + b.
-2*z**2/5
Suppose 8/11*u**4 - 8/11*u**2 + 2/11*u - 6/11*u**5 + 4/11*u**3 + 0 = 0. Calculate u.
-1, 0, 1/3, 1
Let g = -306 - -308. Factor -h + 7/2*h**g + 0 - 2*h**4 + 5/2*h**3.
-h*(h - 2)*(h + 1)*(4*h - 1)/2
Let t be -1 - -2*(-6)/(-4). Suppose t*z - 2 - 2 = 0. Solve -9*c + 12 - 3*c - c**z + 4*c**2 = 0.
2
Let p(i) be the second derivative of 1/126*i**7 + 0 - 2*i + 1/18*i**3 + 1/6*i**2 + 1/90*i**6 - 1/30*i**5 - 1/18*i**4. Factor p(r).
(r - 1)**2*(r + 1)**3/3
Factor 27/2 + 3/2*t**2 + 9*t.
3*(t + 3)**2/2
Let n(d) be the third derivative of -2*d**7/735 - d**6/105 + d**4/21 + 2*d**3/21 - 16*d**2. Factor n(m).
-4*(m - 1)*(m + 1)**3/7
Let u = 378/5 + -3175/42. Let g(n) be the third derivative of 2*n**2 + 0*n**3 + 1/84*n**4 - u*n**5 + 0*n + 0. Factor g(h).
-2*h*(h - 1)/7
Let f(x) be the second derivative of -x**5/150 + x**3/15 + 2*x**2 + 3*x. Let p(q) be the first derivative of f(q). Suppose p(r) = 0. What is r?
-1, 1
Let c be ((-8)/30)/2 + (-44)/(-60). Factor 0 - c*z**3 - 3/5*z**5 + 0*z**2 + 0*z + 6/5*z**4.
-3*z**3*(z - 1)**2/5
Suppose 4 = -a + 1. Let d(z) = -5*z**4 + 5*z**2. Let n(c) = 6*c**4 - 6*c**2. Let p(x) = a*n(x) - 4*d(x). Factor p(b).
2*b**2*(b - 1)*(b + 1)
Suppose 0 + 4/5*p**3 - 2/5*p**2 - 2/5*p**4 + 0*p = 0. What is p?
0, 1
Let a(d) be the second derivative of -1/30*d**3 - 1/60*d**4 + 2*d + 0 + 0*d**2. Factor a(y).
-y*(y + 1)/5
Let w(r) be the second derivative of 2/5*r**5 - 1/2*r**2 - r + 8/15*r**6 + 0 - 5/4*r**4 - 4/3*r**3. Let w(b) = 0. Calculate b.
-1, -1/4, 1
Let g be 2 - (3 + (-74)/48). Let v = -1/24 + g. Find m such that -v*m**2 - m - 1/2 = 0.
-1
Let o(n) be the second derivative of -n**4/4 - n**3 - 14*n. Factor o(q).
-3*q*(q + 2)
Let g = -429 + 432. Factor 2/3*y**2 - 2/3*y**4 + 0*y + 2/3*y**5 + 0 - 2/3*y**g.
2*y**2*(y - 1)**2*(y + 1)/3
Let a be (2/3)/((-3)/(-9)). Suppose 2*d = -8, 4*f = -d - d. Factor -14/9*n**a - 4/9 + f*n.
-2*(n - 1)*(7*n - 2)/9
Suppose 26 + 0 = 2*i + 4*k, -5 = 5*i - 4*k. Factor 3/2*g**2 + 27/2*g**i + 0*g + 45/2*g**4 - 75/2*g**5 + 0.
-3*g**2*(g - 1)*(5*g + 1)**2/2
Let -1/4 + 3/8*u - 1/8*u**2 = 0. What is u?
1, 2
Let l(s) be the first derivative of 21/16*s**4 - 3/8*s**2 - 1/2*s - 2 + 5/3*s**3. Factor l(v).
(v + 1)*(3*v - 1)*(7*v + 2)/4
Suppose 0 = 3*w + 4 - 1. Let t be w - 1*(-65)/25. Determine h, given that 8/5*h**3 + 2/5*h**4 - t + 6/5*h**2 - 8/5*h = 0.
-2, -1, 1
Let n be (-6)/18 - 20/(-6). Let q be n/12 + (-2)/8. Find u such that q*u + 2/7 - 2/7*u**2 = 0.
-1, 1
Suppose 2*a = -2*g - 4, -5*a + 2*g = -2 - 2. Suppose 1/2*s**3 + 0*s + a + 1/4*s**4 + 1/4*s**2 = 0. What is s?
-1, 0
Let a(c) be the first derivative of -c**6/2 + 3*c**5/5 + 3*c**4/4 - c**3 + 18. Factor a(o).
-3*o**2*(o - 1)**2*(o + 1)
Solve -8 - 26*u**2 - 9*u**4 + 10*u**4 - 12*u**3 - 24*u - 3*u**4 = 0.
-2, -1
Suppose -f**4 + 15*f**3 - 18*f**5 + 23*f**5 - 3*f**4 - 16*f**4 = 0. What is f?
0, 1, 3
Factor 0 + 2/15*a**2 + 0*a.
2*a**2/15
Suppose 6*k**2 + 3*k**2 - 9*k**4 - 3*k**3 - 3*k**3 + 6*k**4 = 0. Calculate k.
-3, 0, 1
Let k = -4459/20 - -223. Let z(o) be the second derivative of 0 + 1/12*o**3 + 1/84*o**7 - 1/4*o**2 - k*o**5 - 1/60*o**6 + 1/12*o**4 - 2*o. Factor z(a).
(a - 1)**3*(a + 1)**2/2
Let f(y) be the second derivative of y**4/96 + y**3/12 + y**2/4 + 6*y. Factor f(u).
(u + 2)**2/8
Factor -4/7*y**2 + 0*y + 0.
-4*y**2/7
Suppose 12 = 4*g + 4. Determine h, given that 3*h + 1 - g*h - h**3 + 0*h**2 - h**2 + 0*h**2 = 0.
-1, 1
Suppose 5*a = -5*f + 45, 0 = 3*f - 0*f - 12. Let q(t) = 2*t - 5. Let d be q(a). Let 2*r**2 - 3*r**2 - 16*r**d + 7*r**3 - 6*r**4 - 2*r**4 = 0. What is r?
-1, 0, 1/4
Suppose -12 = 5*l - 42. Let w = l + -3. What is j in 0*j**4 + 0*j**3 + j**w - 2*j**4 + j**5 = 0?
0, 1
Let z(b) be the second derivative of b**4/24 - b**3/12 + 3*b. Suppose z(a) = 0. Calculate a.
0, 1
Let k(a) be the third derivative of 0*a + a**2 + 0 - 1/72*a**4 + 0*a**3 - 1/360*a**5. Determine y, given that k(y) = 0.
-2, 0
Let z be (-5)/(-2)*(2 - 0). Let c(u) = u**3 - 3*u + 3. Let x be c(2). Factor x - a + a**2 - z.
a*(a - 1)
Suppose 3*p + 16 = 22. Let -2/3*y**3 - p*y - 2/3 - 2*y**2 = 0. Calculate y.
-1
Let s(b) = -2*b**3 - b**2 + b + 5. Let r be s(0). Let 0 + 0*h**2 + 6/5*h**4 + 2*h**r - 4/5*h**3 + 0*h = 0. What is h?
-1, 0, 2/5
Let u(f) = f**4 - 5*f**3 + 2*f**2 - f + 3. Let x(h) = 2*h**4 - 14*h**3 + 6*h**2 - 2*h + 8. Let m(k) = 8*u(k) - 3*x(k). Factor m(p).
2*p*(p - 1)*(p + 1)**2
Let y(w) be the second derivative of w**7/630 + w**6/120 + w**5/60 + w**4/72 - 2*w**2 - 5*w. Let i(a) be the first derivative of y(a). Let i(q) = 0. What is q?
-1, 0
Let z(x) be the first derivative of 5*x**4/16 + 5*x**3/3 + 2. Factor z(w).
5*w**2*(w + 4)/4
Let v = 8/3 + -29/12. Determine d, given that 1/4*d**3 - v*d + 1/4*d**2 - 1/4 = 0.
-1, 1
Let w(m) be the first derivative of -m**5/30 - m**4/24 + m**3/18 + m**2/12 + 7. Solve w(n) = 0 for n.
-1, 0, 1
Let v(s) = -4*s**2 - 9*s + 4. Let i(k) = -k**2 + k - 1. Let a(r) = 3*i(r) + v(r). Factor a(f).
-(f + 1)*(7*f - 1)
Let c(h) be the first derivative of -1 + 1/90*h**5 + 1/36*h**4 - 2/9*h**3 + 1/2*h**2 + 0*h. Let s(g) be the second derivative of c(g). Factor s(q).
2*(q - 1)*(q + 2)/3
Suppose -z = 3*j - 10, -4*z - 2*j + 4*j = -12. F