1)*(d + 2)/5
Let g(z) = 2*z**2 + 6*z + 6. Let d(c) = 4*c**2 + 11*c + 12. Let p(q) = 2*d(q) - 5*g(q). Factor p(b).
-2*(b + 1)*(b + 3)
Let g be (4/8)/(7/(-70)*-5). Solve 5/4*o**3 + 13/4*o**2 + o - g = 0 for o.
-2, -1, 2/5
Let b(i) be the first derivative of -i**6/60 + i**5/30 + 3*i**2 - 4. Let w(r) be the second derivative of b(r). Solve w(k) = 0.
0, 1
Let i(q) be the first derivative of -q**9/3024 + q**8/560 - q**7/280 + q**6/360 + q**3/3 - 4. Let w(d) be the third derivative of i(d). Factor w(s).
-s**2*(s - 1)**3
Let h(r) be the third derivative of -r**7/420 - r**6/60 - r**5/20 - r**4/12 - r**3/6 - 3*r**2. Let q(a) be the first derivative of h(a). Factor q(i).
-2*(i + 1)**3
Let p(i) be the first derivative of -i**3 + 15*i**2/2 - 18*i - 11. Find y, given that p(y) = 0.
2, 3
Let f(c) be the first derivative of 0*c**3 + 4/7*c - 3/7*c**2 + 1/14*c**4 - 3. Factor f(q).
2*(q - 1)**2*(q + 2)/7
Let y(w) = -15*w**4 - 160*w**3 - 120*w**2 + 25*w - 25. Let j(i) = -2*i**4 - 20*i**3 - 15*i**2 + 3*i - 3. Let z(s) = 25*j(s) - 3*y(s). Factor z(k).
-5*k**2*(k + 1)*(k + 3)
Let d(b) be the second derivative of b**4/4 - b**3/2 - 3*b**2 - b - 1. Let d(k) = 0. What is k?
-1, 2
Let g = -1 + 4. Solve 0 - n**2 - 2/3*n - 1/3*n**g = 0 for n.
-2, -1, 0
Let m(g) be the first derivative of g**4/8 - g**3/6 + 6. Factor m(p).
p**2*(p - 1)/2
Let d(c) = c**3 + 6*c**2 + 7*c + 5. Let f be d(-5). Let n(t) = -t**2 - 6*t - 1. Let a be n(f). Factor 0*i**2 + a*i + 0*i**2 - 2*i**2 - 2.
-2*(i - 1)**2
Let z(w) be the third derivative of w**10/37800 - w**9/15120 + w**5/30 - 4*w**2. Let d(s) be the third derivative of z(s). Factor d(u).
4*u**3*(u - 1)
Let j(r) be the third derivative of -r**6/96 + r**5/12 + 5*r**4/96 - 5*r**3/6 + 32*r**2. Factor j(h).
-5*(h - 4)*(h - 1)*(h + 1)/4
Let p(t) = -t**5 - t**4 + 1. Let c(i) = 46*i**5 + 16*i**4 - 148*i**3 - 160*i**2 - 46*i. Let r(o) = -c(o) + 4*p(o). Suppose r(m) = 0. Calculate m.
-1, -1/5, 2
Let a be 0/((-40)/45 - 5/45). Factor 0*v**2 - 1/2*v**3 + a + 1/2*v.
-v*(v - 1)*(v + 1)/2
Let c(k) be the third derivative of -1/10*k**5 + 0 + 0*k**3 - 3*k**2 + 0*k - 1/20*k**6 - 1/12*k**4 - 1/105*k**7. Factor c(y).
-2*y*(y + 1)**3
Let v(r) be the first derivative of r**6/4 + 3*r**5/2 + 3*r**4 + 2*r**3 - 19. Factor v(y).
3*y**2*(y + 1)*(y + 2)**2/2
Let i(g) = -9*g**4 - 16*g**3 - 29*g**2 - 16*g - 4. Let x(h) = -h**4 - h**2. Let s(p) = -i(p) + 5*x(p). Find w such that s(w) = 0.
-1
Let q(c) = 3*c - 1 - 6*c**2 + 14*c**4 + 14*c**3 - 2*c + 9 + c. Let g(r) = 13*r**4 + 13*r**3 - 6*r**2 + r + 7. Let i(m) = -6*g(m) + 5*q(m). Factor i(d).
-2*(d + 1)**2*(2*d - 1)**2
Let d(o) = -o**5 + 5*o**3 - 2*o - 2. Let r(u) = -u**3 - u**2 + u + 1. Let g(c) = 2*d(c) + 4*r(c). Factor g(k).
-2*k**2*(k - 1)**2*(k + 2)
Let p(u) be the third derivative of u**6/80 - u**5/10 + 5*u**4/16 - u**3/2 + 13*u**2. Solve p(a) = 0.
1, 2
Let g = -25 + 39. Let j(m) be the first derivative of 3 - 4*m - 35/4*m**4 - g*m**2 - 59/3*m**3. Let j(c) = 0. Calculate c.
-1, -2/5, -2/7
Let h(b) be the first derivative of 121*b**6/39 - 66*b**5/5 + 285*b**4/13 - 692*b**3/39 + 93*b**2/13 - 18*b/13 - 18. Solve h(r) = 0 for r.
3/11, 1
Suppose 2*y - r = -11, -y - 6*r - 33 = -r. Let t = y + 10. Factor -4/7*w + 2/7*w**t + 2/7.
2*(w - 1)**2/7
Let d(r) = -11*r**4 - 120*r**3 - 836*r**2 - 1326*r - 599. Let s(l) = 23*l**4 + 240*l**3 + 1673*l**2 + 2653*l + 1197. Let t(o) = 13*d(o) + 6*s(o). Factor t(g).
-5*(g + 1)**2*(g + 11)**2
Suppose -6*m - 4*w - 8 = -2*m, -4*w + 24 = -4*m. Let v(q) = -q**3 - 5*q**2 - 4*q + 3. Let d be v(m). Find u such that 0 - 1/3*u**d + 0*u**2 + 1/3*u = 0.
-1, 0, 1
Let f(t) be the first derivative of -3/2*t**2 - 5 + 1/3*t**3 + 0*t. Suppose f(c) = 0. Calculate c.
0, 3
Let d(k) = -k**2 - 9*k - 8. Let c be d(-9). Let m = -6 - c. What is l in 0*l**m - l**2 + 2*l**3 - 3*l**2 = 0?
0, 2
Let q(m) be the third derivative of -m**5/210 + m**4/42 - m**3/21 - 5*m**2 + 2. Solve q(r) = 0.
1
Let w = -24/7 + 141/35. Factor -1/5*h - 3/5*h**3 + 0 - 1/5*h**4 - w*h**2.
-h*(h + 1)**3/5
Let y(o) be the second derivative of -1/105*o**6 - 5*o - 1/70*o**5 + 0 + 0*o**2 + 0*o**3 + 1/147*o**7 + 1/42*o**4. Let y(i) = 0. What is i?
-1, 0, 1
Let h be 2/5 - (18 + -18). What is q in -4/5 + h*q**2 + 2/5*q = 0?
-2, 1
Let g be (0 - -1) + -1 - -4. Suppose 2*y = -4*p + 8, 0 = -y + 7*p - 2*p + g. Solve -4*h**2 - 2*h**2 + 1 + 2*h**3 - y*h + 5*h**2 + 2*h**3 = 0.
-1, 1/4, 1
Suppose -3*b = b + 8. Let w(t) = t**2 - 24*t + 29. Let f(u) = -u**2 + 12*u - 14. Let v(d) = b*w(d) - 5*f(d). Factor v(q).
3*(q - 2)**2
Let q(z) = z**4 + z**3 - z**2 + z + 2. Let a(f) = 3*f**4 + 3*f**3 - 3*f**2 + 2*f + 5. Let p(w) = -2*a(w) + 5*q(w). Suppose p(j) = 0. Calculate j.
-1, 0, 1
Let t be ((-612)/(-8))/((-2)/4). Let i = -437/3 - t. Determine r, given that -i*r**2 + 0 - 4/3*r - 14*r**3 - 10/3*r**5 - 34/3*r**4 = 0.
-1, -2/5, 0
Solve -1 - 5/2*q - 2*q**2 - 1/2*q**3 = 0.
-2, -1
Suppose -2*j = -5*h - 7 - 14, -3*j + 24 = -5*h. Determine c so that -c**2 + 34*c - 19*c - 21*c + 4*c**2 + j = 0.
1
Let l(p) be the first derivative of -5*p**3/3 + 15*p**2/2 - 10*p - 12. Let l(x) = 0. What is x?
1, 2
Let a(k) be the second derivative of -k**5/90 - 5*k**4/54 - k**3/9 + k**2 - 6*k. Find z, given that a(z) = 0.
-3, 1
Let g = 85/2 + -1703/40. Let h = 31/120 - g. Determine v, given that -h*v + 0 + 1/3*v**2 = 0.
0, 1
Let r(z) be the first derivative of -z**4/4 + z**2/2 - 6. Determine g, given that r(g) = 0.
-1, 0, 1
Let w(x) be the third derivative of -2*x**2 + 0*x - 2/9*x**3 + 0 - 1/12*x**4 + 1/180*x**6 + 0*x**5. Determine c, given that w(c) = 0.
-1, 2
Let w(f) be the first derivative of 0*f**2 - 2 + 1/4*f**4 + 1/3*f**3 + 0*f. Factor w(x).
x**2*(x + 1)
Let d = -19/36 + 3/4. Let l(b) be the first derivative of -2/3*b**3 - 8/45*b**5 - 1/9*b**2 + d*b - 11/18*b**4 - 1. Factor l(m).
-2*(m + 1)**3*(4*m - 1)/9
Let d be (20/(-15))/((-2)/18). Let q be 3*(-2)/d*-4. Factor 0 + 0*l**2 - 9*l**q + 4*l**3 + 6*l - 1.
(l - 1)**2*(4*l - 1)
Let l(j) be the third derivative of j**6/450 - j**5/450 - j**4/36 - 2*j**3/45 - 11*j**2. Determine s, given that l(s) = 0.
-1, -1/2, 2
Let m be (96/320)/(2/10). Let 7/2*v**3 + m*v**2 + 1 - 7/2*v - 5/2*v**4 = 0. Calculate v.
-1, 2/5, 1
Factor 0 + 0*a**2 - 3/4*a**3 + 0*a + 3/4*a**4.
3*a**3*(a - 1)/4
Let l(f) be the third derivative of 1/36*f**6 + 0 + 3*f**2 - 4/315*f**7 + 0*f + 0*f**3 + 0*f**4 - 1/90*f**5. Factor l(p).
-2*p**2*(p - 1)*(4*p - 1)/3
Let y(h) = -12*h**3 + 3*h**2 + 9*h + 9. Let u(v) be the second derivative of 3*v**5/20 - v**4/12 - v**3/3 - v**2 - v. Let l(c) = 9*u(c) + 2*y(c). Factor l(p).
3*p**2*(p - 1)
Let p = -6 + 9. Factor 2*h**5 + 4*h - 7*h**5 + 4*h**5 - 2*h + 3*h**2 - p*h**4 - h**3.
-h*(h - 1)*(h + 1)**2*(h + 2)
Let i be (0 - -7) + 3/3. Factor 9*o**4 - i*o**4 - o**2 + 0*o**2.
o**2*(o - 1)*(o + 1)
Let k(q) = 8*q**2 + 8*q + 4. Let x(v) = -15*v**2 - 17*v - 7. Let f(n) = 7*k(n) + 4*x(n). Factor f(r).
-4*r*(r + 3)
Let c = -2 + 9. Factor 11*i**2 + 79*i - 19*i - 27*i**3 + c*i**2 + 24.
-3*(i - 2)*(3*i + 2)**2
Let y = 166/59 + -98545/35046. Let p = y - -2369/4158. Factor p + 6/7*v + 2/7*v**2.
2*(v + 1)*(v + 2)/7
Let x(y) be the second derivative of -3*y**5/40 - 25*y**4/24 - 14*y**3/3 - 4*y**2 + y. Let x(g) = 0. What is g?
-4, -1/3
Let u(x) be the first derivative of -x**6/15 - 2*x**5/5 - 4*x**4/5 - 8*x**3/15 + 35. What is r in u(r) = 0?
-2, -1, 0
Let v(c) be the second derivative of c**6/90 + c**5/12 - 13*c**4/36 + 7*c**3/18 + 20*c. Determine j so that v(j) = 0.
-7, 0, 1
Suppose -g = -2*f - 2, 2*f - 4 = 2*g + 6*f. Let i(n) be the second derivative of 0 + g*n**2 + 1/30*n**5 - 1/9*n**3 + 0*n**4 - 2*n. Factor i(a).
2*a*(a - 1)*(a + 1)/3
Let r = -105/46 + -67065/92. Let h = -726 - r. Factor 0 + 9*d**2 - 3*d + h*d**3.
3*d*(d + 2)*(7*d - 2)/4
Let t(z) be the first derivative of 1/30*z**3 - 1/100*z**5 + 0*z**4 - 1 - z + 0*z**2. Let h(i) be the first derivative of t(i). Factor h(q).
-q*(q - 1)*(q + 1)/5
Let r(w) = 20*w**2 + 14*w - 17. Let d(f) = -7*f**2 - 5*f + 6. Let y(j) = -17*d(j) - 6*r(j). Factor y(x).
-x*(x - 1)
Determine x, given that 0*x**4 - 2/3*x**5 + 0*x + 0 + 2/3*x**3 + 0*x**2 = 0.
-1, 0, 1
Let w = -666 + 666. Factor -1/3*b**2 + w*b - 1/3*b**4 + 0 - 2/3*b**3.
-b**2*(b + 1)**2/3
Let m(c) be the first derivative of -2/15*c**3 - 1 + 0*c**2 + 2/5*c. Solve m(d) = 0