*3 - 3/4*p**2 + 0.
-p*(p + 1)**3/4
Let u = -112 + 116. Let a(q) be the first derivative of 2/21*q**3 + u - 2/7*q**2 + 2/7*q. Factor a(t).
2*(t - 1)**2/7
Let t(g) = -328*g**3 + 156*g**2 + 164*g + 24. Let s(r) = 109*r**3 - 52*r**2 - 55*r - 8. Let p(q) = -8*s(q) - 3*t(q). Determine j, given that p(j) = 0.
-2/7, -1/4, 1
Let a = 24 - 20. Factor -x**2 + 0*x**2 - 16 + 4 - a + 8*x.
-(x - 4)**2
Let g be -5 + (-4 - (-7 - 4)). Let 4*c + 2/3*c**g + 6 = 0. Calculate c.
-3
Let 0*q - 22*q**2 + 36*q**4 - 22*q**2 + 8*q**2 - 12*q - 15*q**3 + 27*q**5 = 0. What is q?
-1, -2/3, 0, 1
Let o(n) be the first derivative of 0*n - 2/7*n**3 - 3/35*n**5 - 4 + 0*n**2 - 9/28*n**4. Factor o(u).
-3*u**2*(u + 1)*(u + 2)/7
Solve 1/2*y - 1/4*y**2 + 3/4 = 0 for y.
-1, 3
Let k(u) be the first derivative of 5*u**3/3 - 35*u**2 + 245*u + 25. Solve k(h) = 0.
7
Let t be (-39)/(-12) - 1/4. Suppose t*v - 6 = 3*q, -3*v = 3*q + 2*q - 6. Find x such that 0*x + x**3 - 1/2*x**v + 0 - 1/2*x**4 = 0.
0, 1
Suppose 6*u = u + 5. Find x, given that -1/4*x**3 - u + 0*x + 3/4*x**2 = 0.
-1, 2
Let x be 8/(-2 + 8/2). Suppose 2 = -5*y + x*h, 2*h + 0*h - 6 = 0. Determine s, given that 7/4*s + 1/4*s**4 + 1/2 + 5/4*s**3 + 9/4*s**y = 0.
-2, -1
Let j(d) be the third derivative of d**8/60480 - d**7/5040 + d**6/1080 - d**5/30 + d**2. Let z(l) be the third derivative of j(l). Factor z(s).
(s - 2)*(s - 1)/3
Suppose 10 = -4*w - 3*z + 37, 7 = 2*w - 5*z. Factor 4*s**3 + w*s**5 + 6*s**2 + 3 + 2*s**3 - s**5 - 2*s**5 - 9*s**4 - 9*s.
3*(s - 1)**4*(s + 1)
Suppose 2*l = -4 - 8. Let f = l - -10. Factor -4/5*p**3 + 0 - 14/5*p**f - 8/5*p**5 + 0*p + 2/5*p**2.
-2*p**2*(p + 1)**2*(4*p - 1)/5
Let o be -2 - 19/(-3) - 3. Solve 0 + 0*l + 35/3*l**4 + o*l**2 - 8*l**3 = 0.
0, 2/7, 2/5
Let k(j) be the first derivative of 0*j + 21/4*j**4 + 0*j**2 - 2/3*j**3 + 1 - 147/10*j**5 + 343/24*j**6. Find p, given that k(p) = 0.
0, 2/7
Let w(y) be the third derivative of -y**8/2016 + y**7/420 - y**6/240 + y**5/360 - 2*y**2 - 10. Factor w(a).
-a**2*(a - 1)**3/6
Let q(x) be the third derivative of -x**8/504 + x**7/315 + x**6/90 - 5*x**2. Factor q(i).
-2*i**3*(i - 2)*(i + 1)/3
Let g(m) be the second derivative of m**7/21 + m**6/5 + m**5/10 - m**4/2 - 2*m**3/3 - m + 2. Factor g(a).
2*a*(a - 1)*(a + 1)**2*(a + 2)
Let r(f) be the third derivative of f**10/136080 + f**9/68040 - f**4/6 + 2*f**2. Let t(j) be the second derivative of r(j). Determine p so that t(p) = 0.
-1, 0
Let o = 650/3 + -216. Factor -4/3*b - o*b**2 - 2/3.
-2*(b + 1)**2/3
Factor -12*w - 66 - 64 + 118 - 3*w**2.
-3*(w + 2)**2
Suppose u - n + 4 = 0, -u - 5*n = -3*n - 2. Let v be (-2)/36*8/u. Factor 2/9 + v*r**2 + 4/9*r.
2*(r + 1)**2/9
Let y(w) be the second derivative of -7*w**7/33 + 28*w**6/165 + 9*w**5/22 - 14*w**4/33 + 4*w**3/33 - 8*w. Suppose y(m) = 0. What is m?
-1, 0, 2/7, 1
Let x(n) = -n**2 - 3*n + 4. Let z be x(-3). Let k(d) be the third derivative of 0*d**z + d**2 + 0*d + 0 - 1/240*d**5 + 0*d**3. Determine s so that k(s) = 0.
0
Let h = -125 + 128. Let m(l) be the third derivative of -1/132*l**4 - 1/660*l**6 + 0*l**h + 1/165*l**5 + 0 + 0*l - 2*l**2. Determine z, given that m(z) = 0.
0, 1
Let k(i) be the second derivative of 0 - 1/90*i**5 - 1/18*i**4 - i + 1/135*i**6 + 2/9*i**2 + 1/27*i**3. Factor k(b).
2*(b - 2)*(b - 1)*(b + 1)**2/9
Let d(y) be the third derivative of -4/135*y**5 + 7*y**2 - 1/36*y**4 + 0 - 1/180*y**6 + 2/27*y**3 + 0*y. Let d(r) = 0. What is r?
-2, -1, 1/3
Let q = -21 + 32. Suppose -3*m + 19 = -q. Find x, given that m - 2 + x**2 + 8*x + x**2 = 0.
-2
Factor -19*p**3 + 4 + 896*p**2 - 186*p**3 - 464*p + 9*p**3 + 60.
-4*(p - 4)*(7*p - 2)**2
Let x(r) be the second derivative of r**6/30 - 3*r**5/10 + 5*r**4/12 - 37*r. Factor x(t).
t**2*(t - 5)*(t - 1)
Let v(w) be the first derivative of 0*w**3 - 1/24*w**6 + 0*w + 1/8*w**4 + 8 + 0*w**5 - 1/8*w**2. Factor v(n).
-n*(n - 1)**2*(n + 1)**2/4
Let z(t) = -t**2 + 3*t + 4. Let c be z(4). Suppose c*x + 8 = 2*x. Determine o, given that o**4 - o**2 - 3*o**4 + x*o**3 - o**2 = 0.
0, 1
Let r(a) = -6*a**4 - 4*a**3 + 10*a**2 - 4*a. Let t(l) = 7*l**4 + 5*l**3 - 10*l**2 + 4*l. Let u(m) = 3*r(m) + 2*t(m). Factor u(h).
-2*h*(h - 1)*(h + 2)*(2*h - 1)
Let t(u) be the third derivative of -u**6/24 + u**5/12 + 25*u**4/24 + 5*u**3/2 + 10*u**2. Determine m so that t(m) = 0.
-1, 3
Let d(a) = -8*a**3 - 4*a**2 - 9*a - 8. Let j(w) = w**3 - w**2 + 1. Let v(m) = -d(m) - 5*j(m). Factor v(o).
3*(o + 1)**3
Suppose -20 = 3*i - 29. What is g in -2/3*g**2 + 0 + 4/9*g + 2/9*g**i = 0?
0, 1, 2
Let y(j) = -j**2 - 9*j + 13. Let u be y(-10). Suppose 4*n - n - u = 5*g, 4*g + 1 = n. Solve g + 1/3*b + 1/3*b**3 - 2/3*b**2 = 0.
0, 1
Let f(n) = -4*n - 11. Let z be f(-5). Suppose 3*i + 5 = 4*q - z, 0 = -2*q - 2*i. Factor -2/11*k**q + 2/11 + 2/11*k**3 - 2/11*k.
2*(k - 1)**2*(k + 1)/11
Let w(o) be the third derivative of -1/150*o**5 + 0*o - 2*o**2 + 1/60*o**4 + 0 + 1/15*o**3 - 1/300*o**6. Factor w(i).
-2*(i - 1)*(i + 1)**2/5
Let x(f) = -12*f**5 + 66*f**4 + 51*f**3 - 51*f**2 - 66*f + 12. Let a(s) = s**5 - 5*s**4 - 4*s**3 + 4*s**2 + 5*s - 1. Let d(v) = -27*a(v) - 2*x(v). Factor d(p).
-3*(p - 1)**3*(p + 1)**2
Let i(n) be the third derivative of n**5/30 - 5*n**4/12 + 4*n**3/3 + 10*n**2. Factor i(z).
2*(z - 4)*(z - 1)
Factor 4*x - 4*x**3 - 7*x**2 + 8*x**3 - x**2.
4*x*(x - 1)**2
Let g = -174/5 + 35. Suppose 3/5*d**3 - g*d**2 - 3/5*d + 1/5 = 0. Calculate d.
-1, 1/3, 1
Let a(u) = u**2 - 3*u. Let b be a(4). Suppose 0 = i - 0 - b. Determine l so that l - l**5 + 2*l**2 + l**4 - 3*l**i + 0*l**5 = 0.
-1, 0, 1
Find u, given that 10/9*u**2 + 4/9*u**3 + 0 - 4/9*u - 10/9*u**4 = 0.
-1, 0, 2/5, 1
Suppose -4*x + 18 = 3*n, -x + 2*x = -4*n + 11. Find h such that -2 + 2 - 6*h - n - 2 - 2*h**2 = 0.
-2, -1
Factor -8*s**4 - 4*s**2 + 23*s**5 - 4*s**3 - 21*s**5 + 14*s**3.
2*s**2*(s - 2)*(s - 1)**2
Let f(d) = 12*d**2 - 7*d - 5. Let n(p) = -11*p**2 + 7*p + 4. Let h(u) = -4*f(u) - 6*n(u). Factor h(s).
2*(s - 1)*(9*s + 2)
Solve -2/15*n + 2/15*n**2 + 0 = 0.
0, 1
Let x(k) be the third derivative of k**6/720 - 7*k**4/144 + k**3/6 + k**2. Let x(h) = 0. Calculate h.
-3, 1, 2
Let h(m) be the first derivative of -21/10*m**2 + 4 - 2/5*m**3 + 6/5*m + 21/20*m**4. Determine u, given that h(u) = 0.
-1, 2/7, 1
Let f(p) be the first derivative of -p**4/6 + p**3 - 2*p**2 - 7*p + 2. Let x(w) be the first derivative of f(w). Factor x(j).
-2*(j - 2)*(j - 1)
Let w = -155 - -380. Let r = w + -1114/5. What is f in -1/5*f - 13/5*f**2 + 2/5 + 11/5*f**4 - 2*f**5 + r*f**3 = 0?
-1, -2/5, 1/2, 1
Let l(o) be the third derivative of -o**7/210 - o**6/40 - o**5/30 + 4*o**2. Factor l(b).
-b**2*(b + 1)*(b + 2)
Let v(h) be the third derivative of h**6/420 - h**5/70 + h**4/28 - h**3/21 - 21*h**2. Factor v(q).
2*(q - 1)**3/7
Suppose v = -5*u - 3*v - 100, -2*v - 26 = u. Let o be u/24*12/(-10). Find n such that o*n + 2/5*n**2 + 2/5 = 0.
-1
Suppose 5*g = 8*g. Let o(d) be the second derivative of 0 - 1/6*d**3 + 3*d + 0*d**4 + 1/20*d**5 + g*d**2. Factor o(x).
x*(x - 1)*(x + 1)
Let d be -2 - (30/(-2))/3. Let n(b) be the second derivative of b + 1/21*b**d + 0 + 0*b**2 - 1/42*b**4. What is o in n(o) = 0?
0, 1
Factor -j**3 - 2 - 8*j + 4 + 11*j.
-(j - 2)*(j + 1)**2
Let s(j) = -24*j**2 - 48*j - 27. Let o(r) = -r**3 + r**2 + r. Let w(x) = -3*o(x) - s(x). Factor w(z).
3*(z + 1)*(z + 3)**2
Let v(m) be the third derivative of m**7/105 - m**6/20 + m**5/10 - m**4/12 - 3*m**2. Find w, given that v(w) = 0.
0, 1
Suppose -6 = -2*l - 2. Let s(y) be the first derivative of 0*y + 0*y**l + 2 - 1/3*y**3. Let s(h) = 0. What is h?
0
Let q(i) be the second derivative of i**10/25200 + i**9/4725 + i**8/3150 + 5*i**4/12 + 3*i. Let z(l) be the third derivative of q(l). Solve z(k) = 0.
-4/3, 0
Let w = 27 - 25. Solve -w*i**2 + 1 - 7/2*i = 0.
-2, 1/4
Let b be ((-22)/(-55))/(8/10). Let u(v) = v**3 + 4*v**2 + 4*v + 2. Let k be u(-2). Factor 1/2*r**3 + 0 + b*r + r**k.
r*(r + 1)**2/2
Let m(c) be the third derivative of -1/112*c**8 - 3/40*c**6 + 0*c + 0*c**3 + 3/70*c**7 + 0*c**4 + 1/20*c**5 + 3*c**2 + 0. What is h in m(h) = 0?
0, 1
Let w(n) be the first derivative of -2*n**4/9 + 26*n**3/27 - 11*n**2/9 + 4*n/9 - 15. Factor w(m).
-2*(m - 2)*(m - 1)*(4*m - 1)/9
Suppose 2*x + 17 = 5*q + 1, -3*x - 15 = -3*q. Factor -1/3*r**3 - 5/3*r**q - 8/3*r - 4/3.
-(r + 1)*(r + 2)**2/3
Let -148*x**2 