e of -b**6/10 - 3*b**5/5 + b**4/2 + 6*b**3 - 27*b**2/2 - 9*b. Factor q(i).
-3*(i - 1)**2*(i + 3)**2
Suppose -k = -5*b - 6, -4*k + 2*b = 30 - 0. Let y be -1 + (0 - k/6). Factor -y*r**3 - 3/2*r**2 + 0*r + 2.
-(r - 1)*(r + 2)**2/2
Suppose -6*k = -9*k + 9. Factor 0*f + 0*f**k + 0*f**2 - 2/9*f**4 - 2/9*f**5 + 0.
-2*f**4*(f + 1)/9
Let q(h) be the third derivative of h**4/24 - 2*h**2. Let o be q(6). Factor 3*v - 2 + 0*v**2 - o*v - v**2.
-(v + 1)*(v + 2)
Let r = 9 + -14. Let p = 7 + r. Factor 2*u + p*u + 2 - 6*u - 2*u**2 + 2*u**3.
2*(u - 1)**2*(u + 1)
Factor 2*r**4 - 16*r**3 - 2*r**2 - 6*r**4 - 3*r**4 + 25*r**3.
-r**2*(r - 1)*(7*r - 2)
Let m(s) = -s - 1. Let u be m(2). Let r be (-11)/u - (-4)/12. Find v, given that 0*v**2 + 2 + v**2 + 2*v**r - 5*v**2 = 0.
-1, 1
Let r = -365/9 + 41. Let m = -1/9 + r. Suppose -m*g**2 + 0*g + 1/3 = 0. What is g?
-1, 1
Determine g so that 2/7*g**3 + 4/7 - 4/7*g**2 - 2/7*g = 0.
-1, 1, 2
Factor 2/9 + 2/3*x**2 + 2/9*x**3 + 2/3*x.
2*(x + 1)**3/9
Find t, given that -7/3*t**3 - 5/3*t**2 + 0 - t**4 - 1/3*t = 0.
-1, -1/3, 0
What is v in 2/11*v**4 - 6/11*v**3 + 4/11*v**2 + 0 + 0*v = 0?
0, 1, 2
Let a be (0/5)/(5 + -3 + -1). Factor a + 2/11*x**3 - 4/11*x**2 + 2/11*x.
2*x*(x - 1)**2/11
Let t = 2 + 1. Suppose 0 = 3*x - 4*x - 2, 0 = 4*g - t*x - 58. Suppose 9*p**3 + 6*p - g*p**2 - 6*p**2 - 2*p**2 + 15*p**3 - 9*p**4 = 0. Calculate p.
0, 2/3, 1
Suppose 5*v = 2*v + 6. Suppose p = -v*p. Solve p*f - f + f**2 + 0*f**2 = 0 for f.
0, 1
Suppose -5*r = 4*a - 10, -3*a - 4*r + 8 = 2*a. Let l = -24/7 + 4. Factor l*h**2 - 2/7*h + a.
2*h*(2*h - 1)/7
Let h = -6 + 8. Factor 0*n**2 - 9*n**h - 2*n**3 + 6*n + 4*n**3 + n**3.
3*n*(n - 2)*(n - 1)
Let l be 0 - (2 + 47/(-6)). Let q(d) be the first derivative of l*d**3 - 3/8*d**4 + 2 + 2*d**2 - 2*d - 18/5*d**5. Suppose q(h) = 0. What is h?
-2/3, 1/4, 1
Let n(y) be the second derivative of y**7/21 - 2*y**5/5 + y**4/3 + y**3 - 2*y**2 - 2*y + 2. Suppose n(w) = 0. What is w?
-2, -1, 1
Let u = 14301/4 + -3733. Let r = -157 - u. Let r*w**2 - 1/2*w - 1/4 = 0. Calculate w.
-1/3, 1
Suppose -4*c + 4 = -4. Suppose -5*d - a + 4 = 0, 0 = -5*d - a - c*a + 12. Suppose r**3 + d*r**3 + 2*r + r - r**2 - 5*r = 0. What is r?
-1, 0, 2
Let q(j) be the first derivative of -j**3/24 - 5*j**2/4 - 25*j/2 - 30. Determine t so that q(t) = 0.
-10
Let j(h) be the third derivative of 0*h + 0*h**4 + 0*h**3 + 0 - 1/600*h**6 - 7*h**2 + 0*h**5. Factor j(t).
-t**3/5
Let r(n) be the third derivative of n**6/60 + n**5/30 + 6*n**2. Factor r(u).
2*u**2*(u + 1)
Suppose -39 = 3*q - 5*c, -6*c + 65 = -5*q - 3*c. Let b = q + 15. Factor -8/5 - 2/5*d**b + 8/5*d.
-2*(d - 2)**2/5
Let i(z) be the second derivative of -2/9*z**2 + 0 + 2*z - 1/9*z**3 - 1/54*z**4. What is f in i(f) = 0?
-2, -1
Let v(w) be the first derivative of -2*w**3/33 - 18*w**2/11 - 162*w/11 - 20. What is b in v(b) = 0?
-9
Let h(t) = -22*t**4 - 56*t**3 + 10*t**2. Let w(x) = 2*x**4 + 5*x**3 - x**2. Let q(z) = -6*h(z) - 68*w(z). Factor q(k).
-4*k**2*(k - 1)*(k + 2)
Let z(f) = -f**3 + 8*f**2 - 2*f - 2. Let w(g) = g**3 - g**2 + g + 1. Let a(k) = 2*w(k) + z(k). Let a(i) = 0. What is i?
-6, 0
Suppose 3*m - 3*i = 0, 5 = 3*m - 2*i - 0*i. Solve 2*g**3 + 4*g**5 - 5*g**m - g**5 = 0 for g.
-1, 0, 1
Let o(z) be the third derivative of -z**7/105 - z**6/20 - z**5/10 - z**4/12 - 2*z**2. Factor o(n).
-2*n*(n + 1)**3
Let l(g) = g**3 + 19*g**2 + 47*g - 13. Let p be l(-16). Find h such that 0*h**2 + 0 + 2/7*h - 2/7*h**p = 0.
-1, 0, 1
Let h(t) = 20*t**4 + 112*t**3 + 80*t**2 + 12*t + 12. Let f(w) = -8*w**4 - 45*w**3 - 32*w**2 - 5*w - 5. Let b(o) = 12*f(o) + 5*h(o). Factor b(y).
4*y**2*(y + 1)*(y + 4)
Let h(p) = -p**3 - 3*p**2 + 4*p + 2. Let m be h(-4). Find v such that v - v**m + 6*v**3 + 7*v**2 + v + 2*v**4 = 0.
-1, 0
Factor 4*o - 1 + 2*o**3 - 2*o**4 - o**3 - 5*o**3 + 3.
-2*(o - 1)*(o + 1)**3
Let i = -52209/452 + 3/452. Let c = i + 120. Let -c*t**2 + t + 7/2*t**3 + 0 = 0. What is t?
0, 2/7, 1
Suppose 4*j - 3 = 3*j. Let h be (j/(-14))/((-3)/4). Find t such that -4/7*t**2 + 0*t**3 + 4/7*t**4 - 2/7*t**5 + h*t + 0 = 0.
-1, 0, 1
Let g(m) be the third derivative of 0 + 0*m**5 + 0*m + 0*m**4 - 1/360*m**6 - 1/1008*m**8 - 3*m**2 + 0*m**3 - 1/315*m**7. Factor g(o).
-o**3*(o + 1)**2/3
Let i(z) be the third derivative of -z**6/120 + z**5/15 - z**4/12 - z**3/2 - 13*z**2. Let o be i(3). Suppose o + 2/3*m + 1/3*m**2 = 0. What is m?
-2, 0
Let s(g) = 3*g**5 - 10*g**4 + 15*g**3 - 10*g**2 + g + 1. Let x(y) = -y**4 + y**2 + y - 1. Let i(l) = -s(l) - x(l). Factor i(n).
-n*(n - 1)**3*(3*n - 2)
Let t(b) be the first derivative of -b**4/4 + b**2/2 + 1. What is n in t(n) = 0?
-1, 0, 1
Let q be 2694/(-135) + 4/10. Let a = q + 1096/45. Let a*l**2 + 48/5*l**3 - 21/5*l + 3/5 = 0. Calculate l.
-1, 1/4
Let w(l) be the first derivative of -18*l**5/35 - 11*l**4/14 + 2*l**3/3 + 11*l**2/7 + 4*l/7 + 19. Find j, given that w(j) = 0.
-1, -2/9, 1
Let j(l) = -l**3 + l. Let a(n) = -7*n**3 + n**2 + 8*n. Let r(x) = 3*a(x) - 24*j(x). Let r(k) = 0. Calculate k.
-1, 0
Let m(p) be the third derivative of 1/1080*p**6 + p**2 + 0 + 0*p - 1/36*p**4 + 1/360*p**5 + 1/6*p**3. Let t(o) be the first derivative of m(o). Factor t(f).
(f - 1)*(f + 2)/3
Suppose 20*b - 24*b = 0. Let u(f) be the second derivative of 1/45*f**6 + b*f**3 - f + 0 + 0*f**4 + 1/60*f**5 + 0*f**2 + 1/126*f**7. Factor u(y).
y**3*(y + 1)**2/3
Let x(g) be the third derivative of -7*g**6/720 + g**5/20 + g**4/12 - g**3/6 - 2*g**2. Let o(f) be the first derivative of x(f). Solve o(v) = 0.
-2/7, 2
Let j(t) = -t**3 + t. Let n(x) = -8*x**3 - 6*x**2 + 6*x + 8. Let k = -2 + -4. Let c(i) = k*j(i) + n(i). Solve c(b) = 0 for b.
-2, 1
Suppose w + 2*w = -4*y, 0 = 5*w + y - 17. Suppose -2*n + 14 = 4*r, r = -w*r + 2*n + 4. Find p such that -2 - 1/2*p**r - 2*p = 0.
-2
Suppose 2*r - 3*r + 3 = 0. Suppose r*z - 13 = 4*j, -3*z - 5*j + 0 = -4. Solve y**z - y + 0*y**2 + 1/2*y**4 - 1/2 = 0.
-1, 1
Factor 2*o**3 + o - o + 0*o**2 - 4*o**2 + 2*o.
2*o*(o - 1)**2
Let a(h) = 15*h**3 + 37*h**2 + 7*h. Let i(k) = -16*k**3 - 36*k**2 - 8*k. Let f(d) = -4*a(d) - 5*i(d). Find z such that f(z) = 0.
-1, -3/5, 0
Let z be 4 - -1*(4 - 3) - 5. Find b such that 0 + z*b - 1/2*b**2 = 0.
0
Let b = 346/5 - 69. Factor 1/5*s**3 - 4/5*s**2 + 0 - b*s + 4/5*s**4.
s*(s - 1)*(s + 1)*(4*s + 1)/5
Suppose 0 = 2*h - 0*h - 6. Solve 1/4*a**h + 0*a + 0 + 1/4*a**2 = 0.
-1, 0
Factor 0*b + 2/3*b**3 + 0 + 0*b**4 - 2/3*b**5 + 0*b**2.
-2*b**3*(b - 1)*(b + 1)/3
Suppose 2 = -2*d + 8. Solve -x + d*x - 4 - 2*x**3 - 7*x**3 + 3*x**3 + 8*x**2 = 0 for x.
-2/3, 1
Solve -10/9*n**2 - 2/9*n**3 - 8/9 - 16/9*n = 0.
-2, -1
Let h(j) = -j**3 - 7*j**2 - 5*j + 8. Let o be h(-6). Factor -6*u**3 + 0*u - 2*u**4 - 3*u**2 - 2*u - u**2 - 2*u**o.
-2*u*(u + 1)**3
Suppose i - 5*i = -4. Let z(g) be the first derivative of i + 2/27*g**3 + 2/9*g + 2/9*g**2. What is f in z(f) = 0?
-1
Let u(t) be the third derivative of 0 + 0*t + 3/20*t**6 - 4/105*t**7 + 0*t**3 + 1/3*t**5 - 6*t**2 - 1/4*t**4. Solve u(z) = 0 for z.
-1, 0, 1/4, 3
Let y(a) be the second derivative of 1/60*a**6 + 0*a**3 + 1/12*a**4 - 3/40*a**5 + 0 + 0*a**2 + 9*a. Factor y(m).
m**2*(m - 2)*(m - 1)/2
Let q(d) = 3*d**3 + 17*d**2 + 21*d + 7. Let o(c) = -12*c**3 - 69*c**2 - 84*c - 27. Let g(j) = 2*o(j) + 9*q(j). Determine b so that g(b) = 0.
-3, -1
Let i(z) be the second derivative of -z**9/5040 + z**8/1120 - z**6/120 + z**5/40 - z**4/3 - 4*z. Let b(q) be the third derivative of i(q). Factor b(c).
-3*(c - 1)**3*(c + 1)
Let d(f) = f**3. Let b(v) = -v**3 + 15*v**2 - 10*v. Let p(i) = b(i) - 4*d(i). Factor p(o).
-5*o*(o - 2)*(o - 1)
Let g(u) be the second derivative of -u**7/24 - 29*u**6/60 - 71*u**5/40 - 3*u**4/4 + 63*u**3/8 + 27*u**2/4 + 15*u. Determine a so that g(a) = 0.
-3, -2/7, 1
Let v(o) = -17*o**3 + 67*o**2 - 5*o - 17. Let n(b) = 6*b**3 - 22*b**2 + 2*b + 6. Let g(u) = 7*n(u) + 2*v(u). Determine h, given that g(h) = 0.
-1/2, 1, 2
Let i(z) be the second derivative of -z**8/2240 - z**7/560 + z**6/480 + z**5/80 - 7*z**3/6 + 2*z. Let p(a) be the second derivative of i(a). Factor p(b).
-3*b*(b - 1)*(b + 1)*(b + 2)/4
Solve 8/7 - 10/7*a**2 + 2/7*a**4 + 0*a**3 + 0*a = 0.
-2, -1, 1, 2
Let h = 292/875 + -6/125. Factor 0 + 0*d - 2/7*d**5 - 6/7*d**3 + h*d**2 + 6/7*d**4.
-2*d**2*(d - 1)**3/7
Let k = -12 + 20. Let u be 22/28 + k/(-16). Suppose -12/7