 + 12*k**4 - 4*k.
3*k*(k - 1)*(k + 1)*(4*k - 1)
Let p(z) be the first derivative of 3*z**3/2 - 3*z**2/4 - 3*z + 8. Factor p(g).
3*(g - 1)*(3*g + 2)/2
Let l(g) = g**2 + g. Let w(u) = 4*u**2 + 8*u. Let f(a) = a**3 + 7*a**2 - 7*a + 2. Let s be f(-8). Let o(y) = s*l(y) + w(y). Factor o(v).
-2*v*(v - 1)
Suppose 94 - 97 = -w. Factor -1/2*v**2 + 0*v + 5/4*v**w + 0.
v**2*(5*v - 2)/4
Let c(l) = l**3 + l**2 - l. Let h(q) = -18*q**4 + 12*q**3 + 22*q**2 + 2*q. Let t(b) = -10*c(b) - h(b). Determine s so that t(s) = 0.
-1, 0, 2/9, 2
Let t(k) be the second derivative of -k**4/24 - 3*k**3/8 - k**2/2 + 8*k. Let t(g) = 0. What is g?
-4, -1/2
Let 2/7*f**4 - 8/7*f + 8/7 - 6/7*f**2 + 4/7*f**3 = 0. What is f?
-2, 1
Suppose -144 = 5*b - 3*b - 2*m, 3*b = -4*m - 237. Let x be (4/(-6))/(10/b). Suppose -r**3 - 3*r + 3*r**2 - 1 - 3 + x = 0. What is r?
1
Let j(p) be the first derivative of p**7/840 + p**6/90 + p**5/24 + p**4/12 - p**3 - 1. Let v(f) be the third derivative of j(f). Solve v(k) = 0.
-2, -1
Factor 9*c + c + 3*c**5 - 23*c**2 - 10*c**4 - c**5 + 20*c**3 + 3*c**2 - 2.
2*(c - 1)**5
Let l(k) be the second derivative of -k**5/60 - k**2 - 2*k. Let g(f) be the first derivative of l(f). Factor g(j).
-j**2
Let w(h) = h - 1. Let d be w(4). Suppose -2*u = -d*u. Solve 0 - z**2 - 7/2*z**4 - 9/2*z**3 + u*z = 0.
-1, -2/7, 0
Let d(k) = -8*k**3 + 8*k**2 + 8*k - 8. Let n(j) = -j**3 + j**2 + j - 1. Let m(z) = 2*d(z) - 20*n(z). Find l, given that m(l) = 0.
-1, 1
Let z(n) be the first derivative of -9*n**5/70 - n**4/21 - 6*n - 7. Let x(b) be the first derivative of z(b). Factor x(q).
-2*q**2*(9*q + 2)/7
Let p(y) = y**4 - y**2 + y + 1. Let r(c) = 47*c**4 + 56*c**3 - 24*c**2 - 26*c + 7. Let g(u) = 2*p(u) + r(u). Solve g(v) = 0 for v.
-1, 3/7
Let v(f) be the second derivative of -f**6/360 + f**5/120 - f**3/6 - f. Let j(x) be the second derivative of v(x). Factor j(i).
-i*(i - 1)
Let q(n) be the third derivative of n**8/336 + n**7/70 - n**6/60 - n**5/5 - n**4/3 - 18*n**2. Let q(v) = 0. Calculate v.
-2, -1, 0, 2
Let f(s) be the second derivative of 0 + 1/140*s**5 + 8*s + 1/21*s**4 + 0*s**2 + 2/21*s**3. Factor f(t).
t*(t + 2)**2/7
Let a(s) be the first derivative of -7*s**5/15 - 23*s**4/12 - 20*s**3/9 - 2*s**2/3 - 3. Find t such that a(t) = 0.
-2, -1, -2/7, 0
Factor 6*d - 7 + 4 - 2*d**2 - 2*d**2 + 7.
-2*(d - 2)*(2*d + 1)
Let x be (-3)/(3/(-17)) - -1. Suppose -3*l + 4 = -4*y, l + l - x = -5*y. What is g in -4/7*g + 2/7 + 2/7*g**y = 0?
1
Suppose 0 = -2*b - r + 2, -4*b + 3*r = -2*r - 32. What is n in 2/3*n**b - 2*n + 0*n**2 + 4/3 = 0?
-2, 1
Factor o**3 - 9*o**4 + 7*o**4 + o**3.
-2*o**3*(o - 1)
Let w(x) be the second derivative of -x**4/6 + 2*x**3/3 + 12*x. Let w(k) = 0. What is k?
0, 2
Suppose 0 - 1/2*j**2 - 3/4*j + 1/4*j**3 = 0. What is j?
-1, 0, 3
Let h(i) = -3*i**2 - 2*i - 1. Let l(v) = -7*v**2 - 5*v - 3. Let k(x) = -5*h(x) + 2*l(x). What is t in k(t) = 0?
-1, 1
Let y(w) = -3*w**2 - 14*w - 17. Let n = 1 + 5. Let h(r) = r**2 + 5*r + 6. Let c(f) = n*y(f) + 17*h(f). Factor c(m).
-m*(m - 1)
Let s(d) = -2*d**2 + 15*d - 45. Let u(v) = -2*v**2 + 16*v - 46. Let f(l) = -4*s(l) + 5*u(l). Find z, given that f(z) = 0.
5
Let h(l) be the first derivative of l**3 + 21*l**2/2 + 18*l + 25. Determine j, given that h(j) = 0.
-6, -1
Let w(g) be the second derivative of g**4/30 - g**3/3 - 6*g**2/5 - 4*g + 3. Find c, given that w(c) = 0.
-1, 6
Let n(i) be the first derivative of -i**4/8 + 3*i**2/4 + i - 7. Solve n(q) = 0.
-1, 2
Let l(x) = x**2 - 12*x + 11. Let w(v) = -v**2 + 8*v - 7. Let b(f) = -5*l(f) - 7*w(f). Factor b(z).
2*(z - 1)*(z + 3)
Let q(d) = -d + 1. Let h(g) = -g**3 - 2*g**2 - 9*g + 8. Let x(c) = -5*h(c) + 40*q(c). Factor x(y).
5*y*(y + 1)**2
Suppose o + 0*o = -9*o. Let h(l) be the third derivative of o + 0*l**6 + 1/15*l**5 + 1/12*l**4 + 2*l**2 - 2/105*l**7 + 0*l - 1/168*l**8 + 0*l**3. Factor h(r).
-2*r*(r - 1)*(r + 1)**3
Suppose -6 = -3*s + 15. Let g be 2 + (-2 - -2)*-1. Factor s*t**3 + g*t**2 + t**3 + 3*t**4 + 0*t**3 - 3*t**3.
t**2*(t + 1)*(3*t + 2)
Factor -10/11*r**4 + 4/11*r + 2/11*r**5 - 14/11*r**2 + 18/11*r**3 + 0.
2*r*(r - 2)*(r - 1)**3/11
Let i(z) = 7*z**3 + 2*z**2 - 2*z + 1. Let x(h) = -h**3 - 2*h**2 - h - 1. Let r be x(-2). Let y be i(r). Factor 7*q - y + q + 0*q**2 - 2*q**2.
-2*(q - 2)**2
Let a(x) = -2*x**3 - 12*x**2 + 15*x - 6. Let r(d) = -9*d**3 - 60*d**2 + 75*d - 30. Let m(j) = -24*a(j) + 5*r(j). Factor m(p).
3*(p - 2)*(p - 1)**2
Let g(f) be the second derivative of -6*f + 1/30*f**4 - 2/5*f**3 + 0 + 9/5*f**2. Solve g(b) = 0 for b.
3
Let u be 1 + -2 - (-99)/63. Factor -u*y - 2/7*y**2 - 2/7.
-2*(y + 1)**2/7
Suppose -13*u**2 + 9*u - 2*u**2 + 15 - 14*u + 5*u**3 = 0. What is u?
-1, 1, 3
Suppose 4*j = 4*s, 3*s + 6*j - 2*j = 21. Factor 8*a - 17*a**2 + 5*a**2 + 10*a**s - a**3 - 5*a.
3*a*(a - 1)*(3*a - 1)
Let f(m) = m**3 + 39*m**2 - 69*m + 29. Suppose 0 = g - 0*g + 2. Let t(l) = 8*l**2 - 14*l + 6. Let w(n) = g*f(n) + 11*t(n). Determine i, given that w(i) = 0.
1, 2
Let g = -39 - -39. Let n(w) be the third derivative of 1/150*w**5 + 0*w**3 - 1/525*w**7 - 1/30*w**4 - w**2 + 0 + 1/150*w**6 + g*w. Factor n(o).
-2*o*(o - 2)*(o - 1)*(o + 1)/5
Let u(x) be the first derivative of -27*x**4/16 - 51*x**3/4 - 93*x**2/8 - 15*x/4 + 1. Factor u(o).
-3*(o + 5)*(3*o + 1)**2/4
Let q = 9 + -4. Let o = 7 - q. Suppose 0 - 2/3*y**3 + 0*y**o + 2/3*y = 0. Calculate y.
-1, 0, 1
Let n = -58/55 + 16/11. Factor 0 - 4/5*s - n*s**2.
-2*s*(s + 2)/5
Solve -36*q - 27*q + 42*q + 5*q**2 - 19*q + 80 = 0.
4
Let g be ((-6)/(-28))/(1/7). Factor -6*a - g*a**2 - 6.
-3*(a + 2)**2/2
Find y, given that -1/2 + 0*y**2 - 3/4*y + 1/4*y**3 = 0.
-1, 2
Suppose -4*c - 4 = -2*o - 16, 4*o + 10 = c. Let s be -4 + c - 5/(-2). Factor s + 15/4*w**2 - 9/4*w - 11/4*w**3 + 3/4*w**4.
(w - 1)**3*(3*w - 2)/4
Suppose -16/3*h - 2/3*h**3 - 8/3 - 10/3*h**2 = 0. What is h?
-2, -1
Let d be 3/(3/4 - 0). Suppose 0 = -5*q + d*m + 16, 5*q + 2*m + 0 = 22. Factor -8 + 14*k**4 - 15*k - 13*k**2 - 3*k + 3*k**2 + 18*k**3 + q.
2*(k - 1)*(k + 1)**2*(7*k + 2)
Let c(o) be the third derivative of 15*o**8/112 - o**7/2 + 2*o**6/3 - o**5/3 - 22*o**2. Factor c(b).
5*b**2*(b - 1)*(3*b - 2)**2
Let f = 476/65 + -90/13. Factor 2/5*b**2 - f*b - 4/5.
2*(b - 2)*(b + 1)/5
Let k(y) be the first derivative of 0*y + 1/18*y**3 + 0*y**2 + 2. Factor k(j).
j**2/6
Let y(t) be the third derivative of t**8/1680 + t**7/1050 - t**6/600 - t**5/300 - 3*t**2. Find j such that y(j) = 0.
-1, 0, 1
Let 0*y**3 + 1/2*y**5 + 0*y + 0*y**4 + 0 + 0*y**2 = 0. What is y?
0
Let c(g) be the first derivative of 0*g + 1 + 1/3*g**3 + 1/2*g**2. Suppose c(n) = 0. What is n?
-1, 0
Let m(a) be the first derivative of a**4/12 + a**3/6 - a**2 + 3*a - 1. Let x(v) be the first derivative of m(v). Factor x(d).
(d - 1)*(d + 2)
Let x be 6*1*10/30. Factor -3 + 4*m - 8*m**3 + 2 + 14*m**x + 1.
-2*m*(m - 2)*(4*m + 1)
Let d(l) be the third derivative of -l**7/420 + l**6/40 + 2*l**5/15 - 25*l**2 - 2*l. Find o such that d(o) = 0.
-2, 0, 8
Suppose -3*o = 4*j - 7, 2*j - 4*o - 4 = 16. Let f = 476 + -474. Let 2*v**3 - 10/3*v**j + 0 - 2/3*v + 2/3*v**f + 4/3*v**5 = 0. Calculate v.
-1/2, 0, 1
Let g(y) be the third derivative of 0 + 1/52*y**4 + 0*y**7 + 1/130*y**6 - 4/195*y**5 + 0*y**3 + 8*y**2 + 0*y - 1/2184*y**8. Factor g(q).
-2*q*(q - 1)**3*(q + 3)/13
Let y = 128 + -1144/9. Suppose y*q - 2/3*q**2 - 2/9 = 0. Calculate q.
1/3, 1
Let y(f) be the third derivative of f**6/120 - f**5/30 + f**4/24 - f**2. Factor y(w).
w*(w - 1)**2
Let z(d) = -d**3 - 8*d**2 - 3*d. Let t(w) = -2*w**3 - 25*w**2 - 9*w. Let i(s) = -2*t(s) + 7*z(s). What is n in i(n) = 0?
-1, 0
Let h = -356 - -2496/7. Let w(i) be the first derivative of 4 + 1/14*i**4 - 3/7*i**2 + h*i + 0*i**3. Suppose w(t) = 0. Calculate t.
-2, 1
Suppose j = -4*y - 8, -y = -4*j - 4*y - 6. Let w(t) be the second derivative of 0 + 1/54*t**4 + 2*t - 1/90*t**5 + 0*t**3 + j*t**2. Solve w(s) = 0 for s.
0, 1
Let x be -5*(6 + (-460)/75). Let w be 0/(-1)*2/(-4). Factor -x*r**2 + w - r**3 + 0*r - 1/3*r**4.
-r**2*(r + 1)*(r + 2)/3
Suppose 4*r = r + 117. Let y(w) = -6*w**4 - 7*w**3 + 13*w**2 + 13. Let p(x) = x**4 + x**3 - 2*x**2 - 2. Let a(g) = r*p(g) + 6*y(g). Find h such that a(h) = 0.
0, 1
Suppose -4*r = -410 + 50. Let m be (r/21 + -4)*7. Factor m*g + 13/4*g**4 + 15/2*g**3 + 7*g**2 + 1/2*g**5 + 0.
g*(g + 2)**