**2 = 0. Calculate u.
-1, 0, 1
Let x(f) be the first derivative of 2*f**3/3 + 12*f**2 - 26*f - 32. Factor x(q).
2*(q - 1)*(q + 13)
Let c(t) be the third derivative of t**9/120960 + t**8/13440 + t**7/5040 + t**5/60 - 7*t**2. Let r(k) be the third derivative of c(k). Factor r(g).
g*(g + 1)*(g + 2)/2
Suppose -2*h + 7*h - 10 = 0. Suppose 6 = r + h*r. Find d such that 2*d**r - 14/5*d**4 - 18/5*d**3 + 4/5 + 18/5*d = 0.
-1, -2/7, 1
Let o(s) = -8*s**2 + 11*s - 5. Let p(g) = 9*g**2 - 12*g + 6. Let n(t) = 6*o(t) + 5*p(t). Factor n(x).
-3*x*(x - 2)
Let c(f) be the first derivative of -f**5/240 - f**4/32 - f**3/12 + 5*f**2/2 - 2. Let l(r) be the second derivative of c(r). Suppose l(k) = 0. Calculate k.
-2, -1
Let g be ((-52)/117)/(1/(-6)). Factor -2/3*p**4 - g*p - 2/3 - 4*p**2 - 8/3*p**3.
-2*(p + 1)**4/3
Let o(c) be the third derivative of 0*c - 1/90*c**5 - c**2 - 1/18*c**4 + 0 - 1/9*c**3. Factor o(g).
-2*(g + 1)**2/3
Let b(c) be the first derivative of 2*c**5/45 - c**4/9 + 2*c**2/9 - 2*c/9 + 14. Factor b(j).
2*(j - 1)**3*(j + 1)/9
Let y(a) be the third derivative of 5*a**8/1344 + a**7/168 - a**6/96 - a**5/48 - 13*a**2. Suppose y(x) = 0. What is x?
-1, 0, 1
Factor 7/4*j**5 + 0 + 11/4*j**3 + 4*j**4 + 1/2*j**2 + 0*j.
j**2*(j + 1)**2*(7*j + 2)/4
Factor 80/3*x**2 + 10/3*x**4 + 40/3*x**3 + 1/3*x**5 + 80/3*x + 32/3.
(x + 2)**5/3
Let s(n) be the first derivative of -3*n**5/5 + 2*n**3 - 3*n + 11. Factor s(y).
-3*(y - 1)**2*(y + 1)**2
Suppose 0*o - 1 = -o. Let w = 1 + o. Factor -2/3*h**w + 4/9 - 2/9*h.
-2*(h + 1)*(3*h - 2)/9
Let i(s) be the first derivative of 3*s**4/4 - 2*s**3 + 3*s**2/2 + 12. Find c, given that i(c) = 0.
0, 1
Let s(v) be the second derivative of 8*v**6/15 - 13*v**5/5 + 11*v**4/3 - 4*v**3/3 + 29*v. Factor s(j).
4*j*(j - 2)*(j - 1)*(4*j - 1)
Let k(h) be the second derivative of h**5/5 + 11*h**4/8 - 3*h**3/2 + 3*h**2/2 - 2*h. Let f(c) be the first derivative of k(c). Solve f(j) = 0.
-3, 1/4
Let z(s) = s**2 + s - 2. Let t be z(2). Suppose c = 3*c - t. Find p such that -2*p**2 + 2*p - c*p**3 - 3*p + p**3 + 0*p**3 = 0.
-1, 0
Let s(p) = -p**4 - p**3 - p**2 + 1. Let l(x) = -4*x**4 - 8*x**3 - 2*x**2 + 8*x + 2. Let j(o) = -l(o) + 2*s(o). Factor j(m).
2*m*(m - 1)*(m + 2)**2
Let i(b) = 6*b**4 - 31*b**3 + 18*b**2 - 19*b + 13. Let m(j) = 3*j**4 - 15*j**3 + 9*j**2 - 9*j + 6. Let x(r) = -6*i(r) + 13*m(r). Factor x(u).
3*u*(u - 1)**3
Let n(a) = -a - 2. Let q be n(-4). Find f such that q*f**4 + f**4 - 2*f**4 - 2*f**4 = 0.
0
Factor 3*s**4 - 13*s**3 + 5*s**4 - s**3 - 4*s**2.
2*s**2*(s - 2)*(4*s + 1)
Suppose -16 + 16*m - 46*m**3 + 89*m**3 + 4*m**2 - 47*m**3 = 0. Calculate m.
-2, 1, 2
Let d(f) be the third derivative of -f**9/13608 + f**8/2520 - f**7/1260 + f**6/1620 + f**3/3 + 6*f**2. Let i(b) be the first derivative of d(b). Factor i(h).
-2*h**2*(h - 1)**3/9
Suppose -56*x + 2*x**2 - 424 + 228 - 6*x**2 = 0. Calculate x.
-7
Let y(m) be the first derivative of -32*m**4 + 32*m**3 - 12*m**2 + 2*m + 1. Solve y(t) = 0.
1/4
Factor 0 - 3/5*k**5 - 21/5*k**3 - 3*k**4 + 0*k - 9/5*k**2.
-3*k**2*(k + 1)**2*(k + 3)/5
Let q = 69/5 - 2483/180. Let r(f) be the third derivative of -1/18*f**3 + 0*f - 2*f**2 - 1/36*f**4 - q*f**5 + 0. Factor r(u).
-(u + 1)**2/3
Let d be (-3)/(-4)*(-1)/(-12). Let l(z) be the first derivative of 0*z**2 + d*z**4 + 0*z + 1 - 1/12*z**3. Determine b so that l(b) = 0.
0, 1
Let m(a) be the second derivative of a**6/135 + a**5/90 - 20*a. Let m(y) = 0. Calculate y.
-1, 0
Let y = 97/36 + -22/9. Let c = 7/3 - 25/12. Suppose 0 - y*v**3 - c*v + 1/2*v**2 = 0. What is v?
0, 1
Let t(s) = s**3 + 3*s**2 - 3*s - 7. Let o be t(-3). Factor 1/2*b**3 + 0*b + 0 - 1/2*b**5 - 1/2*b**4 + 1/2*b**o.
-b**2*(b - 1)*(b + 1)**2/2
Let i be -1 - (-1)/2*-6. Let z(w) = w + 8. Let h be z(i). Solve 2*m**4 - 2*m**3 - m - 3*m**h + 3*m + 1 = 0 for m.
-1, 1
Let o(v) be the third derivative of 1/20*v**5 - 1/20*v**6 + 0*v**3 + 0 - 2*v**2 + 0*v + 0*v**4. Find l, given that o(l) = 0.
0, 1/2
Suppose 0 = -3*g - 2*g + 4*g. Factor s**3 + g - 4/5*s + 8/5*s**2.
s*(s + 2)*(5*s - 2)/5
Let m = -54 - -57. Let i(g) be the third derivative of 0*g**5 + m*g**2 + 0 + 0*g**4 - 1/525*g**7 + 0*g**3 - 1/840*g**8 + 0*g**6 + 0*g. Factor i(c).
-2*c**4*(c + 1)/5
Let f be ((-16)/56)/(6/(-28)). Factor -4/3*x**4 + f*x**2 + 0 - 2/3*x + 2/3*x**5 + 0*x**3.
2*x*(x - 1)**3*(x + 1)/3
Let w(s) = 4*s**2 + 2*s**3 + 2 - 13*s + 10*s**2 + 3*s**3 - 6*s**3. Let v be w(13). Factor 0*c**v + 0 + 1/3*c**5 - 2/3*c**4 + 0*c**3 + 0*c.
c**4*(c - 2)/3
Let m(u) be the first derivative of 0*u + 2/35*u**5 + 3/14*u**4 + 3 + 1/7*u**2 + 2/7*u**3. Factor m(g).
2*g*(g + 1)**3/7
Let r(y) be the third derivative of 0*y**3 + 0 - 5*y**2 - 1/90*y**5 + 1/12*y**4 + 0*y. Factor r(x).
-2*x*(x - 3)/3
Let n(a) be the third derivative of -1/2*a**3 + 0 + 0*a - 5/8*a**4 - 1/5*a**5 + 3*a**2. Suppose n(i) = 0. Calculate i.
-1, -1/4
Let a = -7 - 2. Let v be a/60 + (-8)/(-20). Factor 0 + v*h**3 + 1/2*h**2 + 1/4*h.
h*(h + 1)**2/4
Suppose -2/9*g**4 + 4/9 - 2/9*g**2 - 2/3*g**3 + 2/3*g = 0. What is g?
-2, -1, 1
Let l(w) be the first derivative of 2 - 4/21*w**3 + 4/7*w - 1/7*w**2 + 1/14*w**4. Factor l(y).
2*(y - 2)*(y - 1)*(y + 1)/7
Let d(s) = -2*s**2 - 7*s + 1. Let k be d(-5). Let t = 17 + k. Factor -98/3*z**4 + 140/3*z**t + 104/3*z**2 + 0 + 16/3*z.
-2*z*(z - 2)*(7*z + 2)**2/3
Suppose 0*x = -x + 4. Let f = -2 + x. Factor -6*v**2 + 2*v**2 + f*v**3 - 2*v**4 - 6*v**3 - 2*v**3.
-2*v**2*(v + 1)*(v + 2)
Let b(c) be the second derivative of c - 1/6*c**4 + 0*c**2 + 0*c**3 + 1/10*c**5 + 0. Factor b(z).
2*z**2*(z - 1)
Let p(n) be the third derivative of -n**5/100 - n**4/20 - n**3/10 + 11*n**2. Suppose p(g) = 0. What is g?
-1
Let c(p) be the second derivative of -p**8/504 - p**7/315 + p**6/180 + p**5/90 - p**2/2 - 2*p. Let g(t) be the first derivative of c(t). Factor g(z).
-2*z**2*(z - 1)*(z + 1)**2/3
Let n(l) = -l**3 - 7*l**2 + 7*l - 9. Let x be n(-8). Let c(f) = -f**3 + f + 1. Let v(t) = -t - 1. Let m(a) = x*v(a) - c(a). Solve m(q) = 0 for q.
0
Suppose -3*p + 1 = -5. Suppose 34 = p*i + 4*w + 10, -3*w + 13 = -i. Solve -m**3 + 4*m - 5*m + i*m = 0.
-1, 0, 1
Find x such that 22*x**3 - 14*x**3 - 3*x**2 - 45*x**4 + 11*x**5 + 16*x**5 + 13*x**3 = 0.
0, 1/3, 1
Let v(l) be the second derivative of 4*l**7/21 + 7*l**6/15 - l**5/5 - 4*l**4/3 - 2*l**3/3 + l**2 + 5*l. Let v(x) = 0. Calculate x.
-1, 1/4, 1
Determine d so that 3/2*d**3 - 5/2*d**2 - 1/2*d**5 + 0 + 1/2*d**4 + d = 0.
-2, 0, 1
Let c(u) = u**2 + 4*u + 2. Let t be c(-4). Determine a, given that -4*a**2 - 2*a**t + 7*a**2 - 4*a**2 + 6*a = 0.
0, 2
Let x(a) be the second derivative of 2*a**7/7 - 16*a**6/15 + 4*a**5/5 + 2*a**4 - 14*a**3/3 + 4*a**2 + 2*a. Factor x(q).
4*(q - 1)**3*(q + 1)*(3*q - 2)
Let i(v) = v**2 - 9*v + 3. Let w be i(8). Let a = 5 + w. What is l in 0 + 0*l + 4/9*l**4 + a*l**2 - 2/3*l**5 + 2/9*l**3 = 0?
-1/3, 0, 1
Let r = 39 - 37. Let d(l) be the first derivative of -r - 1/6*l**3 + 0*l + 1/4*l**2. Determine k so that d(k) = 0.
0, 1
Let d(q) be the first derivative of 2*q**6/3 - 8*q**5/5 + q**4/4 + 5*q**3/3 - q**2/2 - q + 2. Factor d(t).
(t - 1)**3*(2*t + 1)**2
Let q = 425/21378 + 2/509. Let w(m) be the second derivative of -2*m + 0*m**2 + 0*m**3 + 0 + q*m**7 + 1/20*m**5 + 0*m**4 - 1/15*m**6. Factor w(r).
r**3*(r - 1)**2
Let a(l) = l - 1. Let n be a(4). Solve 2*t**2 + 0*t**2 + 5*t**2 - 7*t**n + 2*t**4 - 2*t = 0 for t.
0, 1/2, 1, 2
Let n = 3/718 + 2139/3590. Let n + 0*y - 3/5*y**2 = 0. Calculate y.
-1, 1
Let q(c) be the first derivative of 2*c**7/105 - 2*c**6/15 + c**5/3 - c**4/3 - c**2 + 2. Let b(v) be the second derivative of q(v). Factor b(n).
4*n*(n - 2)*(n - 1)**2
Suppose -4*r - 4*t = 12, -2*r + t - 11 = -2*t. Let l = 5 + r. Factor -1/4*g**2 + g - l.
-(g - 2)**2/4
Let f(u) be the third derivative of 2*u**7/105 + u**6/10 + u**5/5 + u**4/6 + u**2. Factor f(j).
4*j*(j + 1)**3
Suppose 1 = -3*l - 2*o, -5*l + o = 2*o - 10. Suppose -5*r + 15 = -0*r. Solve -l*z**3 - z**2 + z**r + z**2 + 2*z**2 = 0 for z.
0, 1
Suppose 3*z - 2 - 1 = 2*n, -3*n - z + 1 = 0. Let r be (-18)/(-9)*(n + 1). Factor -1/2*g + 0 + 3/2*g**r.
g*(3*g - 1)/2
Factor 8/11*d + 2/11*d**3 + 0 + 10/11*d**2.
2*d*(d + 1)*(d + 4)/11
Factor -20*q**4 + 6*q**4 - 2*q + 2*q**3 + 2*q**2 + 12*q**4.
-2*q*(q - 1)**2*(q + 1)
Suppose 0 = 2*q + 4*o - 16, -2*q + 0*q + 13 = 3*o. Factor 