 2*o**2 + o**3 + 71 - 71.
o**2*(o - 1)*(o + 2)
Let s = 389/286 - 7/26. Factor 2/11*r**5 + 32/11*r**2 + 28/11*r**3 + 18/11*r + s*r**4 + 4/11.
2*(r + 1)**4*(r + 2)/11
Let h = -44 + 46. Let u(g) be the third derivative of -1/16*g**4 - 1/6*g**3 + 1/6*g**5 + 0 + h*g**2 + 0*g. Factor u(d).
(4*d + 1)*(5*d - 2)/2
Let u = 68 - 64. Find k, given that 0*k**2 + 4/3*k**3 + 2/3*k**u + 0 + 0*k = 0.
-2, 0
Let z(g) be the third derivative of -g**7/420 + g**6/80 - g**5/40 + g**4/48 + 32*g**2. Factor z(c).
-c*(c - 1)**3/2
Let b(i) = -9*i**3 - 16*i**2 - 6*i + 4. Let p(q) = 64*q**3 + 112*q**2 + 42*q - 28. Let g(k) = 44*b(k) + 6*p(k). Factor g(a).
-4*(a + 1)*(a + 2)*(3*a - 1)
Let t(r) be the second derivative of -3*r**5/80 + 7*r**4/96 - r**3/48 + 24*r. Factor t(c).
-c*(c - 1)*(6*c - 1)/8
Suppose 3*a - 23 = -4*m, 3*a - 4 = m + 7*a. Let q be (m/(-3))/(140/(-42)). Suppose -2/5*c**2 + q*c - 2/5 = 0. Calculate c.
1
Let n(l) = -l**2 + 7*l + 2. Let u be n(7). Suppose -4*d**3 + 18*d**4 - 2 + 0 + u - 14*d**5 = 0. Calculate d.
0, 2/7, 1
Let q(k) be the first derivative of -7*k**5/60 + 19*k**4/36 - 4*k**3/9 - 2*k**2/3 - k - 3. Let t(d) be the first derivative of q(d). Let t(w) = 0. Calculate w.
-2/7, 1, 2
Let h(j) = -10*j - 9*j**3 - 36 - 13*j**3 + 16*j**3 + 36*j**2. Let c(k) = k**3 - 7*k**2 + 2*k + 7. Let y(f) = 16*c(f) + 3*h(f). Let y(w) = 0. What is w?
-2, -1, 1
Let g = 3109/4 + -775. Factor -9/4*n**2 + 0 - 3/4*n**4 + g*n**3 + 3/4*n.
-3*n*(n - 1)**3/4
Let t be 0/(-12) - -2*1. Let g = -2/113 + 236/565. Factor 2/5*x**5 - 2/5*x**3 - g*x**t + 0*x + 2/5*x**4 + 0.
2*x**2*(x - 1)*(x + 1)**2/5
Suppose 0 = 2*d + 5*v - 14 + 3, 2*v = 2. Suppose -3*s = -d, 4*s - 6 = -2*r + 6. Factor -2/3*x**3 + 2/3*x**2 + 0 - 2/9*x + 2/9*x**r.
2*x*(x - 1)**3/9
Suppose 28*q = 27*q. Let t(o) be the second derivative of 0*o**3 - 1/78*o**4 - 2/65*o**5 + 0 - 1/65*o**6 - 3*o + q*o**2. Factor t(h).
-2*h**2*(h + 1)*(3*h + 1)/13
Let r(h) be the second derivative of 2*h**4/51 - 5*h**3/51 + h**2/17 + 4*h. Determine c, given that r(c) = 0.
1/4, 1
Let v(u) = -u**3 - 3*u**2 - 2*u - 2. Let l be v(-3). Suppose 0*c = -l*c + 20. Factor -27*d**2 - 5*d - 30*d**3 - 3*d - c*d**2.
-2*d*(3*d + 2)*(5*d + 2)
Let v(x) be the first derivative of 3 - 2/35*x**5 + 0*x - 1/14*x**4 + 0*x**2 + 1/21*x**6 + 2/21*x**3. Factor v(m).
2*m**2*(m - 1)**2*(m + 1)/7
Solve -4/3*x**2 + 2/9 + 0*x + 16/9*x**3 - 2/3*x**4 = 0.
-1/3, 1
Factor 0*d**2 - 3*d**2 - 93 + 97 + 5*d**3 - 4*d**3.
(d - 2)**2*(d + 1)
Let q = 16/7 + -66/35. Factor q*f + 2/5*f**2 + 0.
2*f*(f + 1)/5
Let k = 6 + -2. Let b be (-7 + 3)*(-2)/k. Solve -3 - b*w**2 - 3 - 2*w**2 + 7*w**2 + 3*w = 0.
-2, 1
Factor -3*p + 3*p**4 - 7*p**2 - 6*p**3 - 3*p**3 + 9*p**2 + 7*p**2.
3*p*(p - 1)**3
Let n(r) be the first derivative of r**6/15 - r**5/10 + 4*r + 1. Let v(o) be the first derivative of n(o). Suppose v(t) = 0. Calculate t.
0, 1
Factor 5*g - 20 - 7*g**2 - 12 - 29*g + 3*g**2.
-4*(g + 2)*(g + 4)
Find f, given that 12*f**4 - 2*f**3 + f - 69*f**2 + 9*f**5 + 0*f**3 + 65*f**2 = 0.
-1, 0, 1/3
Suppose 0 = 9*l - 5*l - 12. Find x, given that 3*x - 5*x**2 - x**3 + 11*x**2 + 4*x**l = 0.
-1, 0
Let a(g) be the third derivative of -5*g**6/132 - 17*g**5/66 - 31*g**4/132 - g**3/11 + 22*g**2. Factor a(z).
-2*(z + 3)*(5*z + 1)**2/11
Let a(h) be the third derivative of h**8/10080 + h**7/630 + h**6/90 - h**5/30 + 3*h**2. Let s(m) be the third derivative of a(m). Factor s(q).
2*(q + 2)**2
Let x(a) be the third derivative of -a**5/270 + a**4/108 + 2*a**3/27 + 17*a**2. Factor x(q).
-2*(q - 2)*(q + 1)/9
Factor 2 - x**3 - 2*x + 3*x + x**5 - 17*x**2 - x**3 + 2*x**4 + 13*x**2.
(x - 1)**2*(x + 1)**2*(x + 2)
Let t(u) = u**2 + 6*u - 11. Let c(p) = p**2 + 11*p - 21. Let l(q) = -4*c(q) + 9*t(q). Factor l(a).
5*(a - 1)*(a + 3)
Let w be (3 + 3/(-3))*-2. Let m be (-30)/12*w/5. Solve -8/7*a + 2/7 + 6/7*a**m = 0 for a.
1/3, 1
Let u(g) = -6 + 6 - 1 - 5*g. Let o be u(-1). Factor -1/4*a**o - a**3 - 5/4*a**2 - 1/2*a + 0.
-a*(a + 1)**2*(a + 2)/4
Let u be 4/2*3/2. Factor -u*p**4 + 6 + 2*p**3 - 3 - 3.
-p**3*(3*p - 2)
Let u = 35 + -33. Let c = 0 + u. Suppose -4*g**3 - 3/2*g**2 + c + 3/2*g**4 + 6*g = 0. Calculate g.
-1, -1/3, 2
Let i(x) be the first derivative of -x**5/70 - x**4/42 - 3*x - 3. Let p(a) be the first derivative of i(a). Let p(g) = 0. Calculate g.
-1, 0
Suppose 18 - 7 - 3*w**2 - 8 = 0. Calculate w.
-1, 1
Let j be ((1 - 2) + -37)/2. Let l = -17 - j. Factor -1/2*c**3 + 1/2*c + 1/2 - 1/2*c**l.
-(c - 1)*(c + 1)**2/2
Let m(z) be the first derivative of 4*z**3/3 + z**2 + 1. Let f(g) = 23*g**2 + 11*g. Let i(v) = -6*f(v) + 34*m(v). Factor i(q).
-2*q*(q - 1)
Suppose -96 = -5*v - 21. Suppose v = -5*s, 0*o + 5*s = -3*o - 3. Determine w so that -3 - o + 4*w + 3 - w**2 = 0.
2
Factor 0 + 0*n**2 + 2/7*n - 2/7*n**3.
-2*n*(n - 1)*(n + 1)/7
Determine v, given that -168*v**4 - 3 + 18*v**3 - 6*v**2 + 171*v**4 + 6 - 9*v - 9*v**5 = 0.
-1, 1/3, 1
Factor 27/4*l**4 + 15/4*l**2 + 12*l**3 + 0 - 3/2*l.
3*l*(l + 1)**2*(9*l - 2)/4
Let x(q) be the third derivative of q**2 + 0 - 175/96*q**8 + 0*q - 1/3*q**4 + 0*q**3 - 8/5*q**5 - 4*q**7 - 107/30*q**6. Factor x(a).
-a*(5*a + 2)**2*(7*a + 2)**2/2
Let j = -105261 - -25788999/245. Let l = j + -1/49. Let 1/5 - l*y**3 + 1/5*y - 1/5*y**2 = 0. What is y?
-1, 1
Let p(o) be the first derivative of -2*o**5/5 - 5*o**4/2 - 16*o**3/3 - 4*o**2 + 1. Factor p(k).
-2*k*(k + 1)*(k + 2)**2
Let p = 1061/3 + -353. Suppose 8/9*l**4 - 2/3*l + 2/9 - 10/9*l**2 + p*l**3 = 0. Calculate l.
-1, 1/4, 1
Let a(x) = -x**4 + 10*x**3 - 5*x**2 - 4*x - 12. Let n(s) = s**3 - s**2 - 1. Let j(g) = -3*a(g) + 24*n(g). Factor j(d).
3*(d - 2)**2*(d + 1)**2
Let t(l) be the second derivative of 3*l**3/2 - l**2/2 - 4*l. Let p be t(1). Factor 3 + p*o + 3*o**2 + o - 3*o.
3*(o + 1)**2
Let c = -4 + 27. Let i = 16 + c. Factor 10*a**4 + 3 - i*a + 3 + 38*a**4 + 27*a**2 + 0*a**2 + 120*a**3.
3*(a + 1)*(a + 2)*(4*a - 1)**2
Let b = 43 + -42. Factor 3/2*f**3 - 3/2*f + b - f**2.
(f - 1)*(f + 1)*(3*f - 2)/2
Let b = 41/36 + -8/9. Let t = -4 - -6. Factor -b*x**t + 0 - 1/2*x.
-x*(x + 2)/4
Let g(w) be the third derivative of -w**5/600 + 18*w**2. Solve g(p) = 0.
0
Let c(q) be the second derivative of q**6/55 - 4*q**5/55 + 7*q**4/66 - 2*q**3/33 - q. Factor c(g).
2*g*(g - 1)**2*(3*g - 2)/11
Factor -1/4*x**2 + 0*x + 0.
-x**2/4
Let v(y) = 2 + 4*y + 1 + y**2 - 5 + y. Let f be v(-6). Find j such that -4/5*j**f + 0*j + 0*j**2 - 2/5*j**3 + 0 = 0.
-1/2, 0
Determine w, given that 4 - w**4 - 6*w**2 + 7*w**4 - 3*w**2 - w**4 + 8*w - 8*w**3 = 0.
-1, -2/5, 1, 2
Let k(z) be the third derivative of 0*z - 3*z**2 - 4/27*z**3 + 0 - 1/27*z**4 - 1/270*z**5. Find d, given that k(d) = 0.
-2
Factor -2 - 2*n**3 + 2*n**2 - 2*n - 3*n + 5*n + 2*n.
-2*(n - 1)**2*(n + 1)
Let q be 28/154 - 148/(-154). Factor -8/7*r - q - 2/7*r**2.
-2*(r + 2)**2/7
Let k(m) = 8*m**4 - 9*m**3 - 9*m**2 + 9*m. Let c(w) be the first derivative of w**5/5 - w**4/4 - w**3/3 + w**2/2 + 4. Let f(i) = -18*c(i) + 2*k(i). Factor f(a).
-2*a**4
Suppose -4*z + 2*z - 18 = -d, 0 = z - 1. Determine x, given that -x**4 - x**3 - x**5 + d*x - x**4 - 20*x = 0.
-1, 0
Let v(w) = -5*w + 13. Let u(i) = -i + 1. Let n(t) = 6*u(t) - v(t). Let h be n(-7). Solve 2/7*f**2 - 2/7*f**3 + 0 + h*f = 0.
0, 1
Let p(y) be the second derivative of -y**6/30 - 3*y**5/5 - 4*y**4 - 32*y**3/3 + 8*y. Determine n so that p(n) = 0.
-4, 0
Let s = -1/323 - -413/29070. Let w(k) be the third derivative of -s*k**6 + 0*k**5 + 0*k + 0 - 2*k**2 + 1/9*k**3 - 1/315*k**7 + 1/18*k**4. Factor w(f).
-2*(f - 1)*(f + 1)**3/3
Determine a, given that -3/2 + 1/2*a**2 - a = 0.
-1, 3
Factor 2/7*d**2 - 12/7 + 2/7*d.
2*(d - 2)*(d + 3)/7
Let h(d) be the second derivative of 0 + 0*d**2 + 1/120*d**6 + 1/16*d**4 - 3*d - 3/80*d**5 - 1/24*d**3. Factor h(v).
v*(v - 1)**3/4
Factor -1/6*n**4 - 1/3*n + 0 - 5/6*n**2 - 2/3*n**3.
-n*(n + 1)**2*(n + 2)/6
Find b such that -28*b**4 - 4*b**5 - 62*b - 16 - 2*b - 100*b**2 - 76*b**3 + 0*b**3 = 0.
-2, -1
Let m be 1 + 0 - (11 + -14). Determine i, given that 6*i**3 - 6*i + 6 - 9/2*i**2 - 3/2*i**m = 0.
-1, 1, 2
Let n be (-4)/(-1) - (-286)/(-88). Factor 3/2*j**4 + 0 + 0*j + 0*j**2 - 3/4*j**3 - n*j**5.
-3*j**3*(j - 1)**2/4
Suppose -17 = -4*f + 11. Let y = -4 + f. Factor 0 + 0*m - 1/4*m**5 + 3/4*m**4 + 1/4*m**2 - 3/4*m**y.
-m**2*(m - 1)**3/4
Factor -2010*c**2 + 716 - 2