u).
2*(u + 1)**2*(u + 2)/11
Let l(y) = y. Let p(j) = -j**2 + 6*j + 1. Suppose 15 = 4*z - z. Suppose -7*h + z = -2*h. Let g(v) = h*p(v) - 6*l(v). Factor g(q).
-(q - 1)*(q + 1)
Let m = 5 - 5. Factor -5*l**3 + 9*l**2 - 12*l - 3*l**2 + 8 + 4*l**3 + m*l**3.
-(l - 2)**3
Let n(c) be the third derivative of c**8/168 + c**7/35 + c**6/20 + c**5/30 - 44*c**2. Factor n(m).
2*m**2*(m + 1)**3
Let h(u) = u**2 - 2*u - 11. Let x be h(5). Let j be (-2)/x + 35/42. Factor 0*i**2 - j*i**3 + 0 + 1/3*i.
-i*(i - 1)*(i + 1)/3
Let v = 4 + -3. Let u(r) = -3*r**5 + 6*r**4 + 6*r**2 + 3*r - 6. Let k(i) = -i**4 + i**3 - i**2 - i + 1. Let y(s) = v*u(s) + 6*k(s). Factor y(l).
-3*l*(l - 1)**2*(l + 1)**2
Let n(x) be the second derivative of 7*x - 1/10*x**4 + 0*x**3 + 0*x**2 + 0 - 3/20*x**5 - 1/70*x**7 - 2/25*x**6. Find k such that n(k) = 0.
-2, -1, 0
Suppose 0*o - k = -3*o + 11, o - 11 = 4*k. Let t be 5/o - (-12)/(-36). Factor 2/3*c**2 + 0 - t*c**3 - 2/3*c**4 + 4/3*c.
-2*c*(c - 1)*(c + 1)*(c + 2)/3
Let b(d) be the second derivative of -d**5/160 + d**4/16 - 3*d**3/16 + d**2/4 + 8*d. Factor b(v).
-(v - 4)*(v - 1)**2/8
Factor 0*p**3 - 2/3*p**4 + 0 + 2/3*p**2 + 0*p.
-2*p**2*(p - 1)*(p + 1)/3
Factor 1/6*v**2 + 0*v - 1/6.
(v - 1)*(v + 1)/6
Let o(a) be the third derivative of 4*a**2 - 1/120*a**6 - 1/192*a**8 + 7/120*a**5 - 2/105*a**7 + 1/12*a**3 + 0 + 11/96*a**4 + 0*a. Solve o(f) = 0 for f.
-1, -2/7, 1
Let w(b) be the third derivative of -b**8/336 + b**7/70 - b**6/60 - b**5/30 + b**4/8 - b**3/6 - b**2. Solve w(j) = 0 for j.
-1, 1
Let i(h) be the third derivative of 0 - 1/15*h**5 + 4/3*h**4 + 0*h - 2*h**2 - 32/3*h**3. Let i(y) = 0. What is y?
4
Let f = 9 + -6. Let v be f/2 - (-6)/12. Determine k, given that -1/3*k**v + 0*k + 1/3 = 0.
-1, 1
Let o(m) = m**5 - m**2 - 1. Let g(a) = 22*a**5 - 13*a**4 - 9*a**3 + 2*a**2 - 2*a - 11. Let z(j) = 2*g(j) - 22*o(j). Find x such that z(x) = 0.
-1, 0, 2/11, 1
Suppose 8/5*t**2 + 1/5*t**4 + 0 + t**3 + 4/5*t = 0. What is t?
-2, -1, 0
Factor -4*j**5 + 6*j**2 + j**5 + j - 4*j + 6*j - 6*j**4.
-3*j*(j - 1)*(j + 1)**3
Suppose 15 - 15 = -v. Factor 12/7*i**3 - 8/7*i**2 + 2/7*i + 2/7*i**5 - 8/7*i**4 + v.
2*i*(i - 1)**4/7
Let h = 4 + -1. Let y = h - -1. Factor 2/3 + 0*i**2 - 2/3*i**y - 4/3*i + 4/3*i**3.
-2*(i - 1)**3*(i + 1)/3
Let y(g) = -g**5 - 9*g**4 + 5*g**3 + 5*g**2 - 12*g + 4. Let s(q) = -q**4 - q + 1. Let d(w) = 40*s(w) - 5*y(w). Solve d(r) = 0 for r.
-2, -1, 1, 2
Let v(a) be the second derivative of a**7/1680 - a**5/240 + a**3/3 - 2*a. Let n(d) be the second derivative of v(d). Factor n(q).
q*(q - 1)*(q + 1)/2
Let p(j) be the first derivative of 16*j**5/5 + 10*j**4 + 3*j**3 - 13*j**2/2 + 2*j - 36. Determine z so that p(z) = 0.
-2, -1, 1/4
Let k = -523/90 + 67/10. Let n(p) be the second derivative of 0 + 5/18*p**4 + 4/3*p**2 + 3*p - 1/30*p**5 - k*p**3. Let n(u) = 0. What is u?
1, 2
Suppose i = -0*f + 3*f - 24, -3*i + 9 = 0. Let g be 20/f + 14/(-63). Solve -2*j**3 + j**4 + 2*j**5 + j**4 - 2*j**g + 0*j**4 = 0 for j.
-1, 0, 1
Let s(i) = i**2 + 9*i + 17. Let a be s(-7). Factor -3*w - 5*w + 3 + 5*w + 3*w**a - 3*w**2.
3*(w - 1)**2*(w + 1)
Suppose 0 = -25*u + 99 + 1. Determine j so that 28/11*j**3 + 8/11 - 40/11*j - 12/11*j**5 - 26/11*j**u + 42/11*j**2 = 0.
-2, 1/3, 1/2, 1
Let p be -3*(-4)/(-20) + 36. Let c = -35 + p. Factor 12/5*h**3 + 8/5*h**2 + 8/5*h**4 + 0 + c*h + 2/5*h**5.
2*h*(h + 1)**4/5
Let g(v) be the third derivative of -v**6/40 - v**5/4 - 7*v**4/8 - 3*v**3/2 - 12*v**2. Factor g(z).
-3*(z + 1)**2*(z + 3)
Let -4*t - t + 20*t**2 + 7*t**4 + t - 23*t**3 = 0. Calculate t.
0, 2/7, 1, 2
Let c(d) = -3*d**2 + d - 3 - 1 - 3*d**2 + d**2. Let x(i) = 14*i**2 - 4*i + 12. Let t(y) = -11*c(y) - 4*x(y). Suppose t(z) = 0. Calculate z.
1, 4
Let m(w) be the second derivative of w**7/126 - 2*w**6/45 - w**5/10 + w**4/9 + 5*w**3/18 + 18*w + 1. Solve m(p) = 0.
-1, 0, 1, 5
Let j(c) be the second derivative of 63*c**6/40 + 19*c**5/4 + 9*c**4/2 + 2*c**3 - c**2/2 - c. Let k(b) be the first derivative of j(b). Factor k(q).
3*(q + 1)*(7*q + 2)*(9*q + 2)
Let y(d) be the first derivative of 8*d**5/5 - 9*d**4 + 20*d**3 - 22*d**2 + 12*d + 43. Factor y(q).
4*(q - 1)**3*(2*q - 3)
Let j = 9/13 + -23/52. Suppose j*v**3 + 1/2 + v**2 + 5/4*v = 0. What is v?
-2, -1
Let p(q) = -3*q**4 + 111*q**3 + 1188*q**2 + 3894*q - 5190. Let u(n) = -n**4 + n**3 + n - 1. Let f(h) = p(h) - 6*u(h). Suppose f(l) = 0. Calculate l.
-12, 1
Let y be -1 + 2 + 0/3. Let k be 6*(y/2 - 0). Factor -1/4*u + 1/4 + 1/4*u**k - 1/4*u**2.
(u - 1)**2*(u + 1)/4
Let w = 4 + -5. Let a = 1 - w. Factor 3*g**2 + 1 - a - 2*g**2.
(g - 1)*(g + 1)
Let s(q) = q. Let y(f) = -6*f**3 + 4*f. Let z(w) = -2*s(w) + y(w). Let c(n) = 5*n**3 + n**2 - n. Let j(p) = 4*c(p) + 3*z(p). Determine a, given that j(a) = 0.
-1, 0
Let s be 3 - (4 - 3)*0. Factor 0 - 1/2*o**2 - 1/4*o**s - 1/4*o.
-o*(o + 1)**2/4
Solve -2*f**2 + 10464 - 10592 - 26*f - 6*f = 0 for f.
-8
Let x be 2/10 + (56/(-30))/(-4). Factor 0*m + 0 - x*m**2.
-2*m**2/3
Let v(d) be the first derivative of 0*d**5 + 0*d**3 + 3 + 1/6*d**2 + 0*d + 1/18*d**6 - 1/6*d**4. Factor v(g).
g*(g - 1)**2*(g + 1)**2/3
Factor -21*x + 84*x**3 - 8*x**2 + 15*x**2 + 5*x + 25*x**2.
4*x*(3*x + 2)*(7*x - 2)
Let v(p) = -6*p**4 - 19*p**3 - 25*p**2 - 17*p. Let y(d) = 9*d**4 + 29*d**3 + 38*d**2 + 25*d. Let m(g) = -7*v(g) - 5*y(g). Let m(n) = 0. Calculate n.
-2, -1, 0
Let d be 40/22 - 2/(-11). Factor -3*s**2 + 3*s**4 - 16*s - 12*s**3 + 10*s + 18*s**d.
3*s*(s - 2)*(s - 1)**2
Suppose 4*c - 3*v = -0*v + 8, 2*v - 4 = -2*c. Factor 1 + 3*m**3 + 3*m - 6*m + 3*m**2 - 4*m**c.
(m - 1)*(m + 1)*(3*m - 1)
Let o(u) be the first derivative of u**9/1008 + u**8/560 - u**7/280 - u**6/120 - u**3 - 2. Let c(f) be the third derivative of o(f). Factor c(t).
3*t**2*(t - 1)*(t + 1)**2
Let k(a) be the second derivative of -a**7/84 + a**6/15 - a**5/8 + a**4/12 - 19*a. What is r in k(r) = 0?
0, 1, 2
Let u(r) be the third derivative of r**6/600 - r**4/120 - 5*r**2. Factor u(y).
y*(y - 1)*(y + 1)/5
Let x = -72 - -75. Factor 0*t**4 + 0*t**2 + 2/5*t**x + 0 - 2/5*t**5 + 0*t.
-2*t**3*(t - 1)*(t + 1)/5
Suppose 4*h = 1 + 55. Let c be (-6)/h - (-13)/14. Factor 0 + 3/4*r**2 - 1/4*r**3 - c*r.
-r*(r - 2)*(r - 1)/4
Let w(y) = y**2 - 6*y - 1. Let d(b) = b**2 - 7*b. Let i(o) = 3*d(o) - 4*w(o). Let a be i(3). Factor 2 + n**4 - 2*n**4 + a*n - 4*n**3 - n**4.
-2*(n - 1)*(n + 1)**3
Factor 27/4*r - 3/2 - 9/4*r**2 - 3*r**3.
-3*(r - 1)*(r + 2)*(4*r - 1)/4
Solve -1/2*z**4 + 1/2*z**3 + 0*z + 0*z**2 + 0 = 0 for z.
0, 1
Let x(i) be the third derivative of -i**5/90 - i**4/18 - i**3/9 + 6*i**2. Factor x(u).
-2*(u + 1)**2/3
Let x(c) be the second derivative of -c**6/45 + c**5/15 - 2*c**3/9 + c**2/3 - 12*c. Factor x(k).
-2*(k - 1)**3*(k + 1)/3
Let i = 66 + -64. Let n(j) be the second derivative of -1/4*j**i + 1/80*j**5 + 0 + 1/24*j**4 - 1/24*j**3 + j. Let n(l) = 0. What is l?
-2, -1, 1
Let i(n) = 11*n**4 + 10*n**3 + 6*n**2 - 16*n - 5. Let f(s) = 23*s**4 + 20*s**3 + 13*s**2 - 33*s - 10. Let t(m) = 6*f(m) - 13*i(m). Factor t(b).
-5*(b - 1)*(b + 1)**3
Let w(d) = d - 1. Let c be w(5). Suppose -6*h + c*u + 18 = -h, 0 = 5*h - 2*u - 14. Factor 0*z - 5*z**3 + 0*z + 8*z**3 - 2*z**4 - z**h.
-z**2*(z - 1)*(2*z - 1)
Let s(u) be the third derivative of -u**8/13440 + u**6/1440 + 5*u**4/24 + 3*u**2. Let x(t) be the second derivative of s(t). Factor x(j).
-j*(j - 1)*(j + 1)/2
Let h(f) = 2*f**2 - 5*f + 2. Let o be h(3). Suppose 0 = 4*r - 2*d + 5*d, -d = -o*r. Factor 2/3*j**5 + 2/3*j**2 - 2/3*j**4 + r*j + 0 - 2/3*j**3.
2*j**2*(j - 1)**2*(j + 1)/3
Let f(k) be the third derivative of k**7/10080 - k**6/960 - 7*k**4/24 + 5*k**2. Let h(d) be the second derivative of f(d). Factor h(i).
i*(i - 3)/4
Let z(j) be the second derivative of 6*j + 0*j**2 + 4/105*j**6 + 2/21*j**4 + 0 + 1/21*j**3 + 1/147*j**7 + 3/35*j**5. Solve z(m) = 0 for m.
-1, 0
Let f(y) be the second derivative of -2*y - y**2 + 1/6*y**4 + 0*y**3 + 0. Factor f(p).
2*(p - 1)*(p + 1)
Let d(q) be the third derivative of -4*q**7/35 - q**6/30 + q**5/15 - 11*q**2. Factor d(a).
-4*a**2*(2*a + 1)*(3*a - 1)
Let f(i) = 8*i - 7*i + i**2 - 1 - i. Let d(y) = -3*y**2 + 3. Let w(j) = -2*d(j) - 7*f(j). Factor w(v).
-(v - 1)*(v + 1)
Let q(n) be the first derivative of n**8/1470 + n**7/420 - n**6/630 + n**3/3 + 3. Let p(m) be the third derivative of q(m). Fi