*4 + 0*x + 0 + 0*x**2 = 0.
-1/3, 0, 1
Let n be 88/20 + 2/(-5). Let w(p) = -p + 1. Let j(x) = x**3 + 2*x**2 - 5*x + 2. Let d(h) = n*w(h) - j(h). Factor d(g).
-(g - 1)*(g + 1)*(g + 2)
Let g(q) = -7*q**4 - 15*q**3 - 5*q**2 + 17*q + 8. Let h(u) = u**4 - u + 1. Let i(f) = -g(f) - 2*h(f). Find n such that i(n) = 0.
-2, -1, 1
Let y be 6*(1 + (-4)/12). Let p be (8/12)/2*y. Factor -2/3*j + 0 + 2/3*j**5 - 4/3*j**2 + p*j**4 + 0*j**3.
2*j*(j - 1)*(j + 1)**3/3
Suppose -y + 4 = -0. Factor -7*v**3 + 0*v**5 - 5 - v**5 + 9 + 8*v - 5*v**y + v**2.
-(v - 1)*(v + 1)**2*(v + 2)**2
Let z = -16 + 19. Let v = 2 - -2. Find j, given that z*j**3 + 8*j**2 + v*j + 0*j**3 + 2*j**3 + j**4 = 0.
-2, -1, 0
Let t(b) be the second derivative of -b**5/5 - 5*b**4/3 - 16*b**3/3 - 8*b**2 + 2*b. Solve t(d) = 0 for d.
-2, -1
What is s in -2*s + 75*s**4 + 2*s**3 + 2*s - 77*s**4 = 0?
0, 1
Suppose 3*c = 3*g, 4*g + 2*c - 2 - 10 = 0. Let n be 2*(g + 3/6). Factor 1/2*d**4 + 1/2*d**3 + 0*d + 0 - 1/2*d**2 - 1/2*d**n.
-d**2*(d - 1)**2*(d + 1)/2
Let j(w) = -w**4 + w**3 - w. Let i(f) = 4*f**4 - 4*f**3 - 2*f**2 + 3*f. Let o(v) = i(v) + 3*j(v). Factor o(a).
a**2*(a - 2)*(a + 1)
Factor -6 + 6 + 0*y**2 + y**2.
y**2
Let r = 340 + -338. Factor 2/7*o - 2/7*o**r + 0.
-2*o*(o - 1)/7
Let i(j) = -3*j**4 + 5*j**3 + 8*j**2 - j - 1. Let o(p) = -p**4 - p**3 + p + 1. Let c(l) = -i(l) - o(l). Factor c(a).
4*a**2*(a - 2)*(a + 1)
Let g(u) be the third derivative of -u**5/60 + u**4/24 + 5*u**2. Let s be g(1). Factor -2/7*b + s - 30/7*b**3 - 2*b**2 - 18/7*b**4.
-2*b*(b + 1)*(3*b + 1)**2/7
Let w be 3 - 1*(1 + -2). Suppose 4 = -2*a + 6. Factor f**5 + 5*f - 1 - 1 - 10*f**2 + 10*f**3 - 5*f**w + a + 0*f**4.
(f - 1)**5
Let v(y) = y**3 - 2*y**2 - 3*y + 2. Let i be v(3). Determine f, given that -4 - f + f**2 - 3*f + i*f**4 + 6*f**3 - 2*f + f**2 = 0.
-2, -1, 1
Let n(i) = -i - 4. Let s be n(-6). Let p = 2 - 2. Let p*v**2 + 3 - 6*v + s*v**2 + v**2 + 0 = 0. What is v?
1
Let w = -58 - -58. Factor w + 2/5*s**2 + 0*s.
2*s**2/5
Let w(n) = 3*n**2 - 74*n + 50. Let g be w(24). Determine z, given that -1/2 - 1/4*z + 1/4*z**g = 0.
-1, 2
Let f(c) = -c - 6. Let v be f(-9). Suppose -v*g + 5*g = 8. Factor -j**2 + 11*j**2 + 1 + 5*j**g + 3*j + 2*j + j**5 + 10*j**3.
(j + 1)**5
Let k(h) be the third derivative of h**6/144 - h**5/120 - 2*h**3/3 - 6*h**2. Let r(f) be the first derivative of k(f). Solve r(b) = 0 for b.
0, 2/5
Factor -2/5*j + 1/5 + 1/5*j**2.
(j - 1)**2/5
Let b be ((-20)/(-15))/((-1)/(-3)). Find u such that 19*u**5 + 7*u**4 - 4*u**3 - 2*u**4 + 3*u**b - 23*u**5 = 0.
0, 1
Let a be 0*(15/40 - 11/8). Factor a - 1/3*n**2 + 4/3*n**3 - n**4 + 0*n.
-n**2*(n - 1)*(3*n - 1)/3
Let j(o) = o**2 - 1. Let q(f) = f**3 + 6*f**2 - f - 6. Let b be -2 + (3 - (0 - 1)). Suppose -5 = -b*p - 3*p. Let z(u) = p*q(u) - 6*j(u). Factor z(l).
l*(l - 1)*(l + 1)
Let m(f) be the second derivative of 5*f**7/126 - f**5/12 + f. Factor m(s).
5*s**3*(s - 1)*(s + 1)/3
Let l(s) = -s**3 - 8*s**2 + 9*s + 8. Let q be l(-9). Determine i, given that 1 + q*i**3 - 5*i**5 + i**5 + i**4 + 28*i + 32*i**2 - 9*i**4 + 7 = 0.
-1, 2
Let r = -91 + 94. Solve 0 + 0*w + 0*w**2 + 2/9*w**4 + 2/9*w**r = 0 for w.
-1, 0
Let a(x) = -16*x**3 + 26*x**2 + 8*x - 6. Let j(n) = 2*n**4 + n**2 - 1. Let y(z) = a(z) - 6*j(z). Factor y(m).
-4*m*(m - 1)*(m + 2)*(3*m + 1)
Let u(n) be the first derivative of -3*n**5/5 + 3*n**4/2 + 4*n**3 - 12*n**2 + 6. Determine z, given that u(z) = 0.
-2, 0, 2
Let y = 4/11 + -1/33. Factor -1/6 - 1/6*r**2 - y*r.
-(r + 1)**2/6
Let q(l) be the first derivative of l**6/3 - 8*l**5/15 - 8*l**4/3 - 4*l**3/9 + 13*l**2/3 + 4*l + 30. Let q(o) = 0. What is o?
-1, -2/3, 1, 3
Let n(l) be the first derivative of -l**4 + 24*l**2 + 64*l + 31. Suppose n(p) = 0. Calculate p.
-2, 4
Let r(g) be the first derivative of -g**8/5880 - g**7/2940 - g**3 + 3. Let y(o) be the third derivative of r(o). Factor y(n).
-2*n**3*(n + 1)/7
Determine m, given that -23/2*m**2 - 5/2*m**3 - 6 + 20*m = 0.
-6, 2/5, 1
Find v such that 1 - v**4 - 4*v**3 + 2*v**5 + 4*v**4 - 2*v**2 + 2*v - 2*v**4 = 0.
-1, -1/2, 1
Solve -1/2*k + 0 - 3/4*k**2 + 1/4*k**4 + 0*k**3 = 0.
-1, 0, 2
Let b = 7 - 3. Let y be (-7)/42*b/(-2). Determine s so that -2/3*s**3 - 1/3*s**2 + y*s + 0 = 0.
-1, 0, 1/2
Let h = 2518 - 105745/42. Let r(b) be the second derivative of -h*b**4 - 2*b + 0*b**2 + 0 - 17/105*b**6 - 5/147*b**7 - 2/21*b**3 - 3/10*b**5. Factor r(l).
-2*l*(l + 1)**3*(5*l + 2)/7
Let f = -2324/5 - -465. Factor f*r**3 + 1/5*r + 0 - 2/5*r**2.
r*(r - 1)**2/5
Solve 18/7*p - 18/7*p**3 - 4/7 - 10/7*p**2 + 2*p**4 = 0.
-1, 2/7, 1
Determine s, given that 8/11*s**3 + 0*s - 2/11*s**4 + 0 - 8/11*s**2 = 0.
0, 2
Let p(w) = -w**3 + 5*w**2 - w. Let m be p(5). Let q be (-15)/(-6)*(-4)/m. Factor -2 - 2*x**3 - q*x**2 + 2.
-2*x**2*(x + 1)
Suppose 11*k - c = 14*k - 12, 5*c - 12 = k. Factor -1/5*b**4 + 1/5*b**2 + 0 - 1/5*b + 1/5*b**k.
-b*(b - 1)**2*(b + 1)/5
Let r(y) be the second derivative of 0 + y - 1/6*y**3 + 1/12*y**4 + 0*y**2. Suppose r(w) = 0. What is w?
0, 1
Let s(t) be the third derivative of -1/30*t**5 - 1/60*t**6 + 1/8*t**4 + 2*t**2 + 0 + 0*t + 1/70*t**7 - 1/6*t**3 - 1/336*t**8. Determine n, given that s(n) = 0.
-1, 1
Suppose -42*p - 6*p**2 + 3*p**2 + 59 - 95 - 111 = 0. What is p?
-7
Suppose -4*w + 0 = -12. Let u(q) = 2*q - 1. Let f be u(w). Factor -9*d**4 - 5/2*d**f + 3/2*d - 4*d**2 - 11*d**3 + 1.
-(d + 1)**4*(5*d - 2)/2
Suppose 0 = 5*k - 38 - 12. Let u be (18/k + -2)*-6. Find s, given that 4/5*s + 0 - u*s**2 = 0.
0, 2/3
Determine l so that 16*l + 21 - l**2 + 2*l**2 + 18 + 25 = 0.
-8
Let n(h) be the third derivative of h**8/960 - h**7/504 - h**6/360 - h**4/6 + 4*h**2. Let c(q) be the second derivative of n(q). Solve c(p) = 0.
-2/7, 0, 1
Let -8/7*o**2 - 10/7*o - 2/7*o**3 - 4/7 = 0. Calculate o.
-2, -1
Determine a, given that 3/7*a**5 + 0*a**2 + 0*a + 0 + 6/7*a**4 + 3/7*a**3 = 0.
-1, 0
Let m(i) be the second derivative of 8*i - 1/27*i**4 - 1/189*i**7 + 0*i**2 + 1/27*i**3 + 0 + 0*i**5 + 2/135*i**6. Factor m(k).
-2*k*(k - 1)**3*(k + 1)/9
Suppose 0 = -g - 3*g + 16. Suppose 3*q**3 - 13*q**5 + 12*q**g + 5*q**5 + 4 - 16*q**2 + 5*q**3 = 0. Calculate q.
-1, -1/2, 1
Suppose k = 5*k - 12. Suppose -9 = -6*t + k*t. Factor -5/3*q**2 + 1/3*q**t + 8/3*q - 4/3.
(q - 2)**2*(q - 1)/3
Suppose 0*x - 5*x = -10. Suppose 0 = -2*f + 3*a, 4*f - 3*a - x - 4 = 0. What is h in 3/2*h**f + 0 - 5/2*h**2 + h = 0?
0, 2/3, 1
Let t = 23 - 23. Let n(s) be the third derivative of 0 - 1/60*s**5 + 2*s**2 + 1/210*s**7 + 0*s**4 + t*s**3 + 0*s + 0*s**6. Factor n(q).
q**2*(q - 1)*(q + 1)
Let g(a) = -2*a**2 + 7*a. Let n(y) = 3*y**2 - 11*y. Let w(d) = -8*g(d) - 5*n(d). Factor w(l).
l*(l - 1)
Solve -16/11*n**3 - 8/11*n**2 - 10/11*n**4 + 0*n + 0 - 2/11*n**5 = 0.
-2, -1, 0
Let a(t) be the first derivative of 2/45*t**5 + 1/9*t**4 - 2/9*t + 0*t**3 + 6 - 2/9*t**2. Factor a(v).
2*(v - 1)*(v + 1)**3/9
Suppose 0 = -g - 4*y + 8, -2*y - 2 = -5*g - 28. Let b be (-16)/28*14/g. Factor -3*r - r**4 - r**b + 3*r + 2*r**3.
-r**2*(r - 1)**2
Let v(w) be the first derivative of 0*w + 1 - 2/3*w**3 - w**2. Factor v(s).
-2*s*(s + 1)
Let t(o) = -o**2 - 5*o - 3. Let h be t(-3). Solve -6*b**h + b - 6*b**2 - 6*b + 2*b + 15*b**3 = 0.
-1/3, 0, 1
Let f be 0 + 7 + 0 + -2. Suppose -4*n - 4*i = -2*n - 6, 15 = f*n - 2*i. Find x such that -n + x**2 - 1 + 5 - 2*x = 0.
1
Let w(t) be the third derivative of t**7/3780 - t**6/1620 - t**3/2 - 6*t**2. Let h(z) be the first derivative of w(z). Factor h(j).
2*j**2*(j - 1)/9
Let i(n) = -n**2 - 2*n - 1. Let s be i(-3). Let g = s + 8. Suppose 0 + 2/9*k**5 + 4/9*k**g - 2/9*k - 4/9*k**2 + 0*k**3 = 0. What is k?
-1, 0, 1
Let i(o) be the second derivative of -o**6/10 + 3*o**5/20 + 3*o**4/2 - 8*o. Factor i(u).
-3*u**2*(u - 3)*(u + 2)
Let q = -64 + 66. Let x(s) be the third derivative of 0*s**3 + 0 + 0*s**4 + 0*s**5 + 1/60*s**6 + 0*s + 1/105*s**7 + 3*s**q. Factor x(u).
2*u**3*(u + 1)
Suppose 2*m = -2*o + 10, 2*m + 0*m = -4*o + 16. Let v(u) be the second derivative of 0 + 1/2*u**4 + m*u + 1/4*u**2 + 1/5*u**5 - 5/8*u**3. Factor v(x).
(x + 2)*(4*x - 1)**2/4
Let q(n) be the second derivative of -n**7/1260 - n**6/90 - n**5/20 - 5*n**4/12 + 5*n. Let p(v) be the third derivative of q(v). Factor p(o).
-2*(o + 1)*(o + 3)
Let i(j) = -1. Let h(l) = l**2 - 22*l - 21. Let w(q) = h(q) + 6*i(q). Let a(b) = 21*b 