*4 - 1/2*p**2 + 0 + 1/3*p**3. Factor y(c).
-(c - 1)*(c + 1)*(2*c - 1)
Let h(r) = -r**2 + 7*r - 5. Let x be h(5). Suppose 2*o = -3*o. Find i such that -i**4 + 0*i**2 + 0*i**3 + 1/2*i**x + 0 + o*i = 0.
0, 2
Let v = 35 + -209/6. Let p(k) be the second derivative of -2*k + 0 - 1/4*k**2 + 0*k**4 + 1/60*k**6 + 1/20*k**5 - v*k**3. Let p(q) = 0. What is q?
-1, 1
Factor 4/13*q**2 + 0*q + 0 - 6/13*q**3 + 2/13*q**4.
2*q**2*(q - 2)*(q - 1)/13
Let o(s) be the first derivative of -2*s**5/105 - s**4/6 - 32*s**3/63 - 4*s**2/7 + 6. Suppose o(j) = 0. Calculate j.
-3, -2, 0
Let k(q) be the second derivative of -q**6/120 + 3*q**5/20 - 9*q**4/8 - q**3/3 + 3*q. Let i(d) be the second derivative of k(d). Factor i(a).
-3*(a - 3)**2
Suppose -8*g = -4*g - 16. Find u, given that 3*u**3 + 2*u**3 + 3*u**2 - 6*u**3 + 0*u**g - u**5 - 3*u**4 + 2*u = 0.
-2, -1, 0, 1
Let v(j) be the third derivative of j**5/25 - j**4/8 + j**3/10 - 4*j**2. Factor v(l).
3*(l - 1)*(4*l - 1)/5
Let o(j) be the third derivative of -7*j**2 + 1/15*j**5 + 1/15*j**6 + 0*j**3 + 0*j + 0 + 1/48*j**4. Factor o(p).
p*(4*p + 1)**2/2
Factor 2*b**3 + 0*b**2 - b**2 - 25 + 5*b**2 - 8*b + 9.
2*(b - 2)*(b + 2)**2
Suppose -z + 32 = 28. Let h(v) be the first derivative of 3/2*v**2 - z + 0*v - v**3. Find u, given that h(u) = 0.
0, 1
What is u in 3*u**3 + 45/7*u**2 + 3/7*u**4 + 0 + 27/7*u = 0?
-3, -1, 0
Suppose 5*o = 2 + 23. Let w be (1/o)/(2 - 1). Find c such that -1/5*c**3 + 2/5 - 2/5*c**2 + w*c = 0.
-2, -1, 1
Solve 0*n**2 + 1/6*n**3 - 2/3*n + 0 = 0.
-2, 0, 2
Factor -3/2*h**4 - 3/2*h**5 - 3/2 + 3*h**2 - 3/2*h + 3*h**3.
-3*(h - 1)**2*(h + 1)**3/2
Let z(l) be the first derivative of -12*l**5/5 - 8*l**4 - 4*l**3 + 4*l**2 + 4. Let z(w) = 0. Calculate w.
-2, -1, 0, 1/3
Let p be 165/35 - 4/(-14). Let w be -1 - ((-7)/p)/1. Let 0 - w*l**2 + 0*l = 0. What is l?
0
Let o = -3 - -6. Factor -3*m**2 + 4*m**3 + o*m**2 + 4 - 3*m**2 - 4*m - m**4.
-(m - 2)**2*(m - 1)*(m + 1)
Let q = -93 + 96. Let m(b) be the first derivative of 1/6*b**4 + 2/3*b + b**2 + 2 + 2/3*b**q. Solve m(g) = 0.
-1
Let r(h) = -h**2. Let f(z) = 4*z**2 + 4*z + 4. Let x(t) = -f(t) - 3*r(t). Factor x(w).
-(w + 2)**2
Let g(u) be the second derivative of u**7/900 + u**6/200 + u**5/150 - u**4/4 - u. Let w(q) be the third derivative of g(q). Find p, given that w(p) = 0.
-1, -2/7
Factor 0 - 2/3*a - 1/3*a**3 - a**2.
-a*(a + 1)*(a + 2)/3
Let m = -110/3 + 37. Suppose 0 = -5*u + 20 - 0, -3*v + 4*u - 10 = 0. Find c, given that -3*c - 8*c**v - m - 16/3*c**3 = 0.
-1, -1/4
Let r(h) = h**3 - 3*h**2 - 3*h - 1. Let d be r(4). Let f(v) = v + 18. Let b be f(-15). Factor 9/4*u**d + b*u**4 + 5/4*u**5 + 0 + 0*u + 1/2*u**2.
u**2*(u + 1)**2*(5*u + 2)/4
Let v(m) be the second derivative of 0 + 2*m + 1/30*m**5 + 0*m**3 - m**2 - 1/12*m**4. Let u(d) be the first derivative of v(d). Factor u(i).
2*i*(i - 1)
Let t(i) be the second derivative of 0*i**3 + 0*i**2 + 0 - i - 1/40*i**5 + 1/120*i**6 + 1/48*i**4. Solve t(m) = 0.
0, 1
Let t = 2 + 3. Suppose 0 = t*h - h. Factor 1/2*g + g**2 + h*g**3 - 1/2*g**5 + 0 - g**4.
-g*(g - 1)*(g + 1)**3/2
Let w(y) be the second derivative of 0 - 1/105*y**6 - 4/7*y**3 - 4/7*y**2 - 13/42*y**4 - 2*y - 3/35*y**5. Let w(v) = 0. What is v?
-2, -1
Suppose 0 = -2*g - 0*m - 2*m + 8, -4*m = 3*g - 13. Suppose -g*u + 11 + 4 = 0. Factor 1/2*q**2 + 0 + 0*q + 1/2*q**u - 1/2*q**3 - 1/2*q**4.
q**2*(q - 1)**2*(q + 1)/2
Let u(z) be the third derivative of z**5/15 - z**4/2 + 4*z**3/3 - 10*z**2. Solve u(o) = 0.
1, 2
Let s(y) be the first derivative of 4*y**3/9 + 4*y**2/3 + 4*y/3 + 5. Factor s(r).
4*(r + 1)**2/3
Let z = -47/7 + 209/28. Suppose z*t**3 - 3*t**2 + 3*t + 0 = 0. Calculate t.
0, 2
Suppose 5*g - z + 34 = 0, -2*g - 4*z + 5 = 1. Let v be 2 + -2 - g/21. Factor 4/7*y**3 + 6/7*y**2 + 0 + v*y.
2*y*(y + 1)*(2*y + 1)/7
Suppose -13 = -5*v + 12. Factor 4*y**2 - 2*y**4 - 2*y**4 - 4 + 4 + 2*y - 2*y**v.
-2*y*(y - 1)*(y + 1)**3
Let p = 11 + -7. Determine n so that 8*n**2 + 0*n**3 + n**2 - 3*n + 0*n + 3*n**p - 9*n**3 = 0.
0, 1
Let p(k) = 2*k**3 - 10*k**2 - 4*k + 18. Let c(y) = 5*y**3 - 29*y**2 - 14*y + 55. Let x(z) = 2*c(z) - 7*p(z). What is v in x(v) = 0?
-1, 2
Let h = -6 + 14. Suppose 9*c - 4*c - 2*s = 8, 2*c + 2*s = -h. Let 1/4*q**3 + 1/4*q + c - 1/2*q**2 = 0. Calculate q.
0, 1
Let h(n) be the first derivative of 0*n**5 - 1/4*n**4 + 3 + 0*n + 1/6*n**6 + 0*n**2 + 0*n**3. What is z in h(z) = 0?
-1, 0, 1
Factor -3*d**3 - 3*d**2 + 2*d**2 + 2*d**3 - d**2.
-d**2*(d + 2)
Suppose 0 = -v - 4*l + 10 + 4, 2*v = 4*l - 8. Suppose -3 + 3 - 3*u**v - 3*u = 0. Calculate u.
-1, 0
Let r(x) be the second derivative of -x**5/5 - 7*x**4/18 - 2*x**3/9 + 8*x. Let r(h) = 0. What is h?
-2/3, -1/2, 0
Let x(n) = n**3 - 9*n**2 + 7*n + 1. Let t(v) = v**2 - v. Let w(q) = 24*t(q) + 3*x(q). Factor w(c).
3*(c - 1)**2*(c + 1)
Let z = -261 + 261. Factor z - 3*p + 3/2*p**2.
3*p*(p - 2)/2
Let d(x) be the second derivative of x**8/168 + x**7/105 - x**6/60 - x**5/30 - x**2/2 - 3*x. Let w(p) be the first derivative of d(p). Factor w(q).
2*q**2*(q - 1)*(q + 1)**2
Let j = 6 + -5. Let c be j + (-1 - (-2)/3). Factor 0*p**3 + 0 - 2*p**2 - c*p + 8/3*p**4.
2*p*(p - 1)*(2*p + 1)**2/3
Let u(o) be the second derivative of -o**6/30 - o**5/10 + o**4/12 + o**3/3 + 4*o + 3. Factor u(t).
-t*(t - 1)*(t + 1)*(t + 2)
Let b(o) = -o**2 - 2*o + 1. Let k be b(-2). Suppose k + 3 = 2*l. Factor -6*d**3 - 54*d**4 + 4*d**3 + 8*d**l + 26*d**3.
-2*d**2*(3*d - 2)*(9*d + 2)
Let a(f) = -f. Let w(q) = q**2 - 8*q + 3. Let g(n) = -4*a(n) + w(n). Solve g(c) = 0.
1, 3
Let o(u) = u**3 + 7*u**2 + 4*u - 7. Let j be o(-6). Let i = 4 + -1. Suppose -3*c**3 + 3*c**5 + c**3 - 2*c**i + 2*c - c**j = 0. What is c?
-1, 0, 1
Let w be 8 + -30*(-1)/(-4). Factor w*n + 1/4*n**3 + 0 + 3/4*n**2.
n*(n + 1)*(n + 2)/4
Let q = 45 + -43. Factor 0*n - 1/3*n**3 - 1/3*n**4 + 1/3*n**5 + 1/3*n**q + 0.
n**2*(n - 1)**2*(n + 1)/3
Suppose g + 51 - 53 = 0. Suppose -5*v - 7 = -22. Determine z so that 1 - v*z - 7/4*z**g = 0.
-2, 2/7
Let g(n) be the second derivative of n**7/42 - n**6/6 + 2*n**5/5 - n**4/3 - 4*n. Factor g(i).
i**2*(i - 2)**2*(i - 1)
Factor -3*n - 7/3*n**2 - 2/3.
-(n + 1)*(7*n + 2)/3
Let j(g) be the second derivative of g**5/60 + g**4/12 + g**3/6 - 3*g**2 + 4*g. Let t(u) be the first derivative of j(u). Solve t(n) = 0 for n.
-1
Find z, given that z**3 - 17*z**2 + 0*z**3 + 17*z**2 = 0.
0
Let a(v) = -v**2 - 6*v - 6. Let g be a(-4). What is x in 2 + 2 - 5*x**2 + 5*x**g - x**2 = 0?
-2, 2
Let y(c) be the first derivative of c**4 - 3*c**3 + 3*c**2 - c + 5. Factor y(j).
(j - 1)**2*(4*j - 1)
Suppose 5*s = -4*r + 17, s + 4 = 5*r - 10. Determine n so that r*n**3 - 6*n**2 - 3*n - n - 4*n + 8 + n**3 + 2*n**4 = 0.
-2, 1
Suppose 6*a = 5*a. Let p(q) be the second derivative of 0*q**2 - 1/60*q**6 + 0*q**5 - q + 0*q**3 + 1/24*q**4 + a. Suppose p(h) = 0. What is h?
-1, 0, 1
Let w(o) = 37*o - 2. Let v be w(4). Let c = v + -1020/7. Find q such that c*q + 2/7*q**2 + 0 = 0.
-1, 0
Let t(h) be the first derivative of -h**4/2 + 2*h**3/3 + h**2 - 2*h + 3. Let t(x) = 0. What is x?
-1, 1
Let b = 2 - -3. Suppose 0*f = b*f - 10. Find g such that 2*g + 2 - 2*g + 2*g**f - 2*g + 6*g = 0.
-1
Let p(o) = -o**4 + 3*o**3 - 2*o**2. Let y(s) = s**4 - s**3. Let v = -4 - -3. Let z = v - 0. Let u(i) = z*y(i) + p(i). Factor u(f).
-2*f**2*(f - 1)**2
Find j such that -10 + 10*j - 5/2*j**2 = 0.
2
Let u(v) = 3*v + 68. Let p be u(-22). Let 16/5*y - 2*y**3 + 2/5*y**4 - 8/5 + 2/5*y**5 - 2/5*y**p = 0. What is y?
-2, 1
Let u(g) be the second derivative of -3*g**5/100 + g**4/10 - g. Solve u(n) = 0.
0, 2
Let b(r) = -6*r**2 - 6*r + 9. Let a(l) = -l**2 - l + 1. Let g(c) = 4*a(c) - b(c). Let j(y) = -y**2 - y + 3. Let p(m) = 3*g(m) + 5*j(m). Factor p(x).
x*(x + 1)
Let b(a) be the third derivative of 0 + 0*a**3 + 1/36*a**6 - a**2 + 0*a**4 + 0*a + 1/45*a**7 + 1/90*a**5 + 1/168*a**8. Factor b(k).
2*k**2*(k + 1)**2*(3*k + 1)/3
Let w(a) be the first derivative of -a**8/1176 - a**7/105 - a**6/28 - 3*a**5/70 - 3*a**2 + 5. Let k(j) be the second derivative of w(j). Factor k(f).
-2*f**2*(f + 1)*(f + 3)**2/7
Find w such that -56*w**3 + 55*w**3 + 36 + 2*w**2 - 2*w**2 + 10*w**2 - 33*w = 0.
3, 4
Let t = 9 + -3. Let l(x) be the third derivative of -1/120*x**5 + 1/16*x**4 + 0 - 1/80*x**t + 1/6*x**3 + 0*x + x**2 - 1/420*x**7. Factor l(p).
-(p - 1)*(p + 1)