u). Factor f(c).
-5*(c + 1)**4
Let m be (-61122)/330 + (-4)/22. Let i = 186 + m. Factor -3/5*y**2 - i*y - 1/5*y**3 - 1/5.
-(y + 1)**3/5
Suppose 12*a - 4 = 20. Factor 0 + 0*v**a - 2/5*v + 2/5*v**3.
2*v*(v - 1)*(v + 1)/5
Let w(s) = -8*s**3 - 3*s + 11. Let a(r) = -3*r**3 - r + 4. Let f = 5 + -9. Let c(q) = f*w(q) + 11*a(q). Determine x, given that c(x) = 0.
-1, 0, 1
Let z(g) be the third derivative of -g**8/20160 + g**6/720 - g**5/60 - 2*g**2. Let c(b) be the third derivative of z(b). Factor c(k).
-(k - 1)*(k + 1)
Suppose -4*v + 4*s + 28 = 0, -3*s + 2*s = 2*v - 23. Solve 4 - 20*n**3 - 6*n**5 + n**3 - 20*n**4 + v*n - n**3 = 0.
-1, 2/3
Let z(f) be the second derivative of f**7/14 - 3*f**5/20 - 2*f. Factor z(l).
3*l**3*(l - 1)*(l + 1)
Suppose -5*b - 7 = -22. Suppose 0*y - y + x = 1, 2*x = b*y. Factor -y*z - z**2 - 1 + 3*z**2 - 3*z**2.
-(z + 1)**2
Factor i - 11*i**5 + 2*i**4 + 2*i**2 - 4*i**4 + 10*i**5.
-i*(i - 1)*(i + 1)**3
Let g be 0 - (-2)/28*(-7 + 11). Suppose -2/7 + 4/7*v - g*v**2 = 0. What is v?
1
Find d, given that 5*d - d**4 + d**2 + 0*d - 6*d + d**3 + 0*d**2 = 0.
-1, 0, 1
Let h(c) = -c**2 + c + 1. Let u(r) = -30*r**2 + 25*r + 25. Let b(m) = -25*h(m) + u(m). Suppose b(w) = 0. What is w?
0
Let y = -81 + 327/4. Factor 0 - y*p - 3/4*p**2.
-3*p*(p + 1)/4
Suppose -5*q - 3*g = 2, -q + g + 22 = -4*g. Let l(z) be the second derivative of -1/30*z**6 - 1/6*z**3 + 1/12*z**4 + 0*z**q + 1/20*z**5 + 0 - 2*z. Factor l(j).
-j*(j - 1)**2*(j + 1)
Find f such that 1/2*f**2 - 1 + 1/2*f = 0.
-2, 1
Let u(i) be the first derivative of -i**8/924 + i**7/1155 + i**6/660 + 4*i**2 + 7. Let j(r) be the second derivative of u(r). Suppose j(t) = 0. Calculate t.
-1/2, 0, 1
Let d(b) = -3*b - 5. Let z be d(8). Let r = z + 31. Find c, given that 2/7 + 0*c - 2/7*c**r = 0.
-1, 1
Let a(t) = -4*t**2 + 4*t - 12. Let i(v) = -v**2 + v. Let h(x) = -a(x) + 6*i(x). Determine f so that h(f) = 0.
-2, 3
Let u(z) = -z**2 - 1. Let c(k) be the second derivative of 5*k**4/6 + 4*k**2 - k. Let m be (-8 + 5)/(1/6). Let s(h) = m*u(h) - 2*c(h). Factor s(y).
-2*(y - 1)*(y + 1)
Let j(z) = 7*z - 56. Let m be j(8). Let o(d) be the second derivative of 3*d - 2/3*d**2 + m - 1/18*d**4 + 1/3*d**3. Factor o(h).
-2*(h - 2)*(h - 1)/3
Suppose -5*a + 5 = 4*s - 10, 6 = -3*s + 2*a. Suppose 0 = -i - 5*f + 20, 4*i + 3*f = -s*f + 12. Let o - o**4 - 3*o**2 + i*o**2 + 4*o**3 - o**3 = 0. What is o?
0, 1
Suppose -11*k = -21*k + 20. Factor 1/5*m**k + 0 - 1/5*m.
m*(m - 1)/5
Let m(p) = p**2 - 5*p - 6. Let f(v) = 2*v**2 - 16*v - 18. Let i(w) = 4*f(w) - 11*m(w). Let n(h) = -8*h**2 - 26*h - 17. Let d(u) = 17*i(u) - 6*n(u). Factor d(y).
-3*y*(y - 1)
Let z(c) = -c**2 + 13*c + 2. Let k be z(13). Let h(x) be the third derivative of 0*x**3 - 2*x**k + 0*x + 1/96*x**4 + 0 - 1/120*x**5 + 1/480*x**6. Factor h(r).
r*(r - 1)**2/4
Let n(v) be the first derivative of -v**4/10 - 2*v**3/5 - 3*v**2/5 - 2*v/5 - 41. Factor n(c).
-2*(c + 1)**3/5
Let n(t) = t**3 - t + 70. Let u be n(0). Let f be 10/(-4)*(-56)/u. Solve -1/2*k**f + 0*k + 0 = 0 for k.
0
Let d(h) be the second derivative of 0 + 1/105*h**6 + 0*h**4 + 0*h**3 + 1/35*h**5 - 1/147*h**7 + 0*h**2 - 3*h. Let d(b) = 0. Calculate b.
-1, 0, 2
Let l(a) be the third derivative of -a**6/720 - a**5/80 - a**4/24 - a**3 + a**2. Let z(o) be the first derivative of l(o). Factor z(v).
-(v + 1)*(v + 2)/2
Suppose 0 = 4*c - 3*c - 5. Solve -s**c + 2*s**2 - s**4 + s**3 - 2*s**4 + 2*s**4 - s**2 = 0.
-1, 0, 1
Suppose -7*f = -2*f - 4*j - 28, j = -2. Suppose -3*x + 2*u + 13 = -0, -11 = -x + f*u. Factor 1 + x - 3*k**2 + 6*k + 3*k**2 - 2*k**3.
-2*(k - 2)*(k + 1)**2
Let k(g) be the third derivative of -g**6/60 + g**5/5 - 3*g**4/4 - 11*g**2. Factor k(o).
-2*o*(o - 3)**2
Let y(t) = 111*t**4 - 200*t**3 - 64*t**2 + 125*t + 61. Let z(p) = 22*p**4 - 40*p**3 - 13*p**2 + 25*p + 12. Let b(i) = 2*y(i) - 11*z(i). Let b(a) = 0. What is a?
-1/2, 1, 2
Let c = -2987/7 + 427. What is n in c*n + 0*n**2 + 0 - 2/7*n**3 = 0?
-1, 0, 1
Let l(w) be the second derivative of 0 + 0*w**3 + 0*w**2 + 0*w**4 - 1/30*w**6 + 5/56*w**7 - 1/20*w**5 + 2*w. Factor l(u).
u**3*(3*u - 2)*(5*u + 2)/4
Let j = 10 - 10. Let r = -1 - -3. Factor -7*l + 0*l + 6*l**2 - 1 + j + r*l.
(l - 1)*(6*l + 1)
Let j = -6 - -19. Let i = 18 - j. Let q(g) = 4*g**4 + 3*g**3 - 3*g**2 - 4*g. Let s(x) = -x**4 + x. Let u(z) = i*s(z) + q(z). Factor u(n).
-n*(n - 1)**3
Let u(h) be the first derivative of 3*h**5/5 - 3*h**4/2 - 3*h**3 + 10. Factor u(n).
3*n**2*(n - 3)*(n + 1)
Let b(d) be the first derivative of d**6/2 - 6*d**5/5 + 2*d**3 - 3*d**2/2 - 4. Factor b(q).
3*q*(q - 1)**3*(q + 1)
Let p(u) = -11*u**2 + 7*u + 18. Let v(t) = 6*t**2 - 3*t - 9. Let o(j) = -3*p(j) - 5*v(j). Factor o(f).
3*(f - 3)*(f + 1)
Let r(o) = -2*o**3 - 8*o**2 + 6*o + 4. Let q be ((-2)/(-3))/((-4)/(-30)). Let v(y) = 3*y**3 + 9*y**2 - 7*y - 5. Let a(m) = q*r(m) + 4*v(m). Factor a(f).
2*f*(f - 1)**2
Let d = 119 + -47. Let h = 510/7 - d. Factor -2/7*o + 2/7*o**2 + 0 + h*o**4 + 10/7*o**3.
2*o*(o + 1)**2*(3*o - 1)/7
Let l(u) be the second derivative of -u**4/12 + u**3/6 + 3*u**2 - u + 6. Suppose l(i) = 0. Calculate i.
-2, 3
What is k in -4/5*k**3 + 2/5*k**4 + 0 + 0*k + 2/5*k**2 = 0?
0, 1
Let c(s) = -s**2 + s + 1. Let d(y) = -5*y**3 - 15*y**2 - 30*y - 15. Let u(z) = 5*c(z) + d(z). Suppose u(h) = 0. What is h?
-2, -1
Let w(v) be the third derivative of -v**5/300 - v**4/24 - 2*v**3/15 + 3*v**2 + 7*v. Factor w(c).
-(c + 1)*(c + 4)/5
Factor 4*j**2 + 10/17 + 18/17*j**4 - 52/17*j**3 - 2/17*j**5 - 42/17*j.
-2*(j - 5)*(j - 1)**4/17
Let 155*g**2 + 6*g**3 - 6*g - 79*g**2 - 74*g**2 - 2 = 0. What is g?
-1, -1/3, 1
Let q(t) be the third derivative of -t**6/540 - t**5/135 - 4*t**2. Find k such that q(k) = 0.
-2, 0
Factor -1/7*a**5 + 1/7*a**3 + 0 + 0*a + 0*a**4 + 0*a**2.
-a**3*(a - 1)*(a + 1)/7
Suppose -5*w + 4*o - 4 = -2, 3*w = 2*o. Factor w*d**2 - 1/2 + 1/4*d + 5/4*d**3.
(d + 1)**2*(5*d - 2)/4
Solve 81*l**4 + 4*l - 4*l**3 - 163*l**4 + 4*l**2 + 78*l**4 = 0 for l.
-1, 0, 1
Let v(m) be the second derivative of -5*m**4/12 - 5*m**3/3 - 5*m**2/2 - 8*m. Factor v(u).
-5*(u + 1)**2
Suppose 0 = -4*x + 8. Let -11*a**2 + 24*a**2 - 13*a**2 + 2*a - x*a**3 = 0. What is a?
-1, 0, 1
Let y be 24/14 + 6/21. Suppose -y*b - 4*p + 22 = 0, -b = -4*b + 2*p + 1. Factor -o**2 + o + o**b - 2*o - o**4 + 2*o**2 + 0*o**4.
-o*(o - 1)**2*(o + 1)
Let u(f) = f**3 - f**2. Let l(d) = -8*d**3 + 2*d**2. Let v(c) = l(c) + 5*u(c). Factor v(a).
-3*a**2*(a + 1)
Let r(a) be the second derivative of -1/12*a**4 + a + 0 + 0*a**3 - 1/30*a**5 + 1/6*a**2. Factor r(m).
-(m + 1)**2*(2*m - 1)/3
Let c(q) be the first derivative of -q**8/7560 - q**7/1890 - q**6/1620 - q**3/3 - 3. Let h(m) be the third derivative of c(m). Solve h(u) = 0 for u.
-1, 0
Let h be (-18)/(-8) + (-12)/(-16). Suppose 4*l - h*l = 4. Factor 0 + 0*s**2 + 0*s + 6/11*s**l - 4/11*s**3.
2*s**3*(3*s - 2)/11
Suppose 2*w - 3*w = 0. Suppose 3*i + 1 - 13 = w. Let -n - 4*n**2 + 2*n**5 + i*n**4 + 4*n - 5*n = 0. What is n?
-1, 0, 1
Let c(o) be the third derivative of o**6/80 - 3*o**5/40 - 9*o**4/16 - 5*o**3/4 - o**2 + 2. Factor c(a).
3*(a - 5)*(a + 1)**2/2
Let f(s) = 3*s - s - 2 - s. Let o be f(4). Factor -1 + t**o - t + 3*t - 2*t**2.
-(t - 1)**2
Let l(r) = -r**3 - 8*r**2 - 12*r. Let z be l(-6). Let g(d) be the third derivative of 0*d**3 + 0*d**4 + 1/360*d**6 + z*d - d**2 + 0 - 1/180*d**5. Factor g(h).
h**2*(h - 1)/3
Let n(a) = -a**2 - 6*a + 5. Let v be n(-6). Suppose -3*l + 4 = -v. Suppose 4*q**2 - 4*q**3 - q + 4*q**4 + 3*q**l - q**5 - 5*q**3 = 0. What is q?
0, 1
Let y(m) = 4*m**5 - 7*m**4 - 8*m**3 + 4*m - 7. Let l(k) = 4 + 4*k**4 - 6*k - 6*k + 5*k - 2*k**5 + 4*k**3 + 5*k. Let a(r) = 7*l(r) + 4*y(r). Factor a(g).
2*g*(g - 1)**2*(g + 1)**2
Solve -q + 0 - 1/5*q**2 = 0.
-5, 0
Let l(q) be the second derivative of -q**4/12 - 5*q**3/6 - q**2 - 2*q. Let h be l(-4). Factor 0*k**h + 0 + 0*k - 1/2*k**5 + 0*k**3 + 0*k**4.
-k**5/2
Factor -7*u**3 - 2*u**2 - 7*u - 3*u**3 + 17*u + 5*u**4 - 3*u**2.
5*u*(u - 2)*(u - 1)*(u + 1)
Let f(s) = 2*s**2 + 9*s + 4. Let u(d) = -6*d**2 - 28*d - 12. Let v(n) = 10*f(n) + 3*u(n). Factor v(a).
2*(a + 1)*(a + 2)
Let h = -255 - -1279/5. Let d = 21 - 17. Factor -2/5*x**d - 2*x**2 + 0 + h*x + 8/5*x**3.
-2*x*(x - 2)*(x - 1)**2/5
Let q(y) be the first derivative of -5 - 3/20*y**4 + 3/5*y**3 + 3/5*y - 9/1