x**3 + 4*x**2 - 4 - 2*x + 8*x**o - 5*x**3.
2*(x - 1)*(x + 1)*(x + 2)
Suppose 3*i - 5*k - 15 = -2*k, 5*i = 3*k + 19. Factor 2*x**3 - 2*x**2 + i*x**2 + 2*x**2.
2*x**2*(x + 1)
Factor 2*r**2 - 2*r**4 + 16*r - 16*r + r**3 - r**5.
-r**2*(r - 1)*(r + 1)*(r + 2)
Suppose 0 - 2/3*g**3 - 4/3*g - 2*g**2 = 0. What is g?
-2, -1, 0
Let d(u) be the second derivative of 0*u**2 + 0*u**3 + 0 - 1/45*u**6 - 1/15*u**5 - 1/18*u**4 + u. Find l, given that d(l) = 0.
-1, 0
Suppose 0*s**2 + 2/9*s - 2/9*s**3 + 0 = 0. What is s?
-1, 0, 1
Let s(a) be the first derivative of -3*a**4/4 - 5*a**3 - 9*a**2/2 + 27*a + 13. Factor s(y).
-3*(y - 1)*(y + 3)**2
Let g(q) be the second derivative of q**6/120 + q**5/40 - q**4/48 - q**3/12 - 3*q - 12. Factor g(h).
h*(h - 1)*(h + 1)*(h + 2)/4
Let a(d) be the second derivative of d**6/105 + d**5/10 + 3*d**4/7 + 20*d**3/21 + 8*d**2/7 - 11*d. Determine u so that a(u) = 0.
-2, -1
Let o(f) be the second derivative of -f**4/12 + 4*f**3/3 + 9*f**2/2 - 2*f. Let w be o(9). Let 1/4*j**3 + w*j**2 + 1/4*j**4 + 0 + 0*j = 0. Calculate j.
-1, 0
Let m(s) be the third derivative of s**8/168 - s**6/60 - 3*s**2. Determine b so that m(b) = 0.
-1, 0, 1
Suppose a + 0 + 0 = 0. Let b(z) be the third derivative of 1/420*z**6 + 0*z - 1/84*z**4 + 0*z**5 + 0*z**3 - 3*z**2 + a. Factor b(y).
2*y*(y - 1)*(y + 1)/7
Let z(y) be the first derivative of -7*y**3 - 3*y**2 - 7. Let z(o) = 0. Calculate o.
-2/7, 0
Solve 16*v**2 + 11*v + v - 78*v**3 + 82*v**3 = 0.
-3, -1, 0
Let o(c) = 8*c**2 - 10*c + 2. Let k(z) = z**2 - z. Let j(m) = 18*k(m) - 2*o(m). Suppose j(v) = 0. What is v?
-2, 1
Factor 12*b**2 + 16*b - 3*b + 3*b**3 - 13*b.
3*b**2*(b + 4)
Determine r so that 17*r - 3*r**2 + 0*r - 2*r - 12 = 0.
1, 4
Suppose -5*g + 3*g + 8 = 0. Let q(v) be the first derivative of 0*v**2 + 2 + v**g - 8/9*v**3 + 1/18*v**6 + 0*v - 2/5*v**5. Let q(r) = 0. What is r?
0, 2
Factor l**3 + 10*l**2 - 10*l**2 - l.
l*(l - 1)*(l + 1)
Let p(u) be the third derivative of -u**8/2016 + u**7/630 + u**6/240 - u**5/90 - u**4/36 - 10*u**2. Solve p(g) = 0.
-1, 0, 2
Factor 7*o - o + 4 - 2*o**3 + 2*o**2 - 6*o**2 - 4*o.
-2*(o - 1)*(o + 1)*(o + 2)
Let o(w) be the second derivative of 2*w**4/3 - w**3/6 - 3*w. Let h(j) = -7*j**2 + j. Let m = -10 + 4. Let i(k) = m*o(k) - 7*h(k). Factor i(f).
f*(f - 1)
Let f(z) be the second derivative of -5*z**7/168 - z**6/60 + z**5/16 + z**4/24 - 12*z. Let f(r) = 0. Calculate r.
-1, -2/5, 0, 1
Let q(d) be the third derivative of d**5/20 + d**4 + 8*d**3 - 17*d**2. Factor q(l).
3*(l + 4)**2
Let v(t) be the first derivative of -4/5*t**5 + 0*t - 4/3*t**3 + 1/2*t**2 + 3/2*t**4 + 2 + 1/6*t**6. Solve v(n) = 0 for n.
0, 1
Let n(u) = -10*u + 310. Let i be n(31). Factor i + 2/3*s**3 + 2/3*s**2 + 0*s.
2*s**2*(s + 1)/3
Let y(k) = -50*k**2 - 240*k + 35. Let i(f) = -3*f**2 - 14*f + 2. Let q(v) = -35*i(v) + 2*y(v). Factor q(x).
5*x*(x + 2)
Let d be ((-16)/12)/(4/(-18)). Let w(o) be the first derivative of -1 + d*o**2 + 8*o + 1/4*o**4 + 2*o**3. Solve w(p) = 0 for p.
-2
Let x(a) be the first derivative of 4/7*a**2 - 6/7*a - 8 - 2/21*a**3. Factor x(n).
-2*(n - 3)*(n - 1)/7
Determine p, given that 0 + 1/2*p + 1/2*p**4 - 1/2*p**2 - 1/2*p**3 = 0.
-1, 0, 1
Suppose -2*o + 2*y + 17 = o, y - 5 = -3*o. Suppose 2*j + 25 = 5*w - o*j, 0 = 4*w - j - 14. Suppose 3/2*b**w + 0 + 3/2*b**4 + 0*b + 0*b**2 = 0. Calculate b.
-1, 0
Let s(c) be the third derivative of -1/12*c**4 + 0 + 0*c - 1/3*c**3 - 1/120*c**5 - 6*c**2. Factor s(b).
-(b + 2)**2/2
Let a(j) be the second derivative of -j**6/160 + j**5/80 + j**4/16 + 5*j**2/2 - 3*j. Let x(t) be the first derivative of a(t). Factor x(m).
-3*m*(m - 2)*(m + 1)/4
Let g(n) be the third derivative of n**8/2688 - n**7/840 + n**5/240 - n**4/192 - 5*n**2. What is j in g(j) = 0?
-1, 0, 1
Let 4/5 - 2/5*k**3 + 0*k**2 + 6/5*k = 0. What is k?
-1, 2
Let r be (-1)/(-1) + (-6)/(-6). Let c(n) be the first derivative of -2*n**2 + r*n - 2 + 2/3*n**3. Factor c(l).
2*(l - 1)**2
Suppose -2*l = -l - 6. Let n(g) = 2*g**2 + 4*g - 4. Let w(m) = 2*m**2 + 4*m - 5. Let o(h) = l*w(h) - 7*n(h). Factor o(f).
-2*(f + 1)**2
Let b(w) be the first derivative of -w**4/2 - 8*w**3/3 - 5*w**2 - 4*w - 3. Factor b(f).
-2*(f + 1)**2*(f + 2)
Let q(u) be the second derivative of -3*u**5/10 + u**4/3 + u**3 - 2*u**2 - u - 2. Factor q(d).
-2*(d - 1)*(d + 1)*(3*d - 2)
Let f(h) = -16*h**5 - 22*h**4 - 4*h**3 - 6*h**2. Let y(x) = -x**5 - x**2. Let o(j) = f(j) - 6*y(j). Let o(v) = 0. Calculate v.
-2, -1/5, 0
Suppose 9 = 3*i + 3. Let f(r) be the first derivative of 0*r - 3 + 3/2*r**4 + r**2 + i*r**3 + 2/5*r**5. Determine u so that f(u) = 0.
-1, 0
Let q(o) be the second derivative of -2*o**3 + 0 + 0*o**2 - 1/4*o**4 + 5*o. What is p in q(p) = 0?
-4, 0
Let u(q) be the second derivative of q**9/1512 - q**8/840 - q**7/84 - q**6/60 - q**3/2 + q. Let o(f) be the second derivative of u(f). Factor o(c).
2*c**2*(c - 3)*(c + 1)**2
Let v(s) = 7*s**2 - 13*s + 13. Let c(u) = -36*u**2 + 64*u - 64. Let j(x) = -3*c(x) - 16*v(x). Factor j(q).
-4*(q - 2)**2
Find i, given that -4/5*i**4 + 6/5*i**2 - 2/5 + 2/5*i - 2/5*i**3 = 0.
-1, 1/2, 1
Let j be 0*(3 - (-14)/(-4)). Let c be j/(3 + (2 - 4)). Factor 0*g + 1/2*g**3 + c - 1/2*g**2.
g**2*(g - 1)/2
Let n(v) be the first derivative of 4*v**3/3 - 4*v + 24. Factor n(b).
4*(b - 1)*(b + 1)
Let x(j) = -4*j**3 + 104*j**2 + 56*j - 24. Let i(q) = -q**3 + 21*q**2 + 11*q - 5. Let b(f) = -24*i(f) + 5*x(f). Solve b(m) = 0.
-2, 0
Let s = -47 - -47. Let r = -2 + 4. Factor 2/9*q**3 + 0 + 0*q + s*q**r.
2*q**3/9
Factor 1/5*d**2 + 0*d + 2/5*d**3 + 0 + 1/5*d**4.
d**2*(d + 1)**2/5
Let j = -2 + 7. Factor 2/3*i**2 - 2/3*i**4 + 0 + 0*i + 2/3*i**j - 2/3*i**3.
2*i**2*(i - 1)**2*(i + 1)/3
Let m(x) be the third derivative of -1/120*x**6 + 0 + 1/6*x**3 - 1/60*x**5 + 1/24*x**4 + 0*x + 2*x**2. Factor m(o).
-(o - 1)*(o + 1)**2
Let u(z) be the first derivative of z**5/4 + z**4/4 - z**3/3 - 5*z + 9. Let k(g) be the first derivative of u(g). Let k(n) = 0. What is n?
-1, 0, 2/5
Let p(s) = -4*s**2 - 8*s. Let f(t) be the first derivative of -t**3 - 5*t**2/2 - 7. Let q(y) = 8*f(y) - 5*p(y). Let q(z) = 0. Calculate z.
0
Let g(c) be the first derivative of c**8/3024 + c**7/630 + c**6/540 - 7*c**2/2 + 8. Let o(q) be the second derivative of g(q). Factor o(s).
s**3*(s + 1)*(s + 2)/9
Let m(x) be the third derivative of -2*x**5/33 - x**4/44 + 2*x**3/33 + 4*x**2. Solve m(h) = 0 for h.
-2/5, 1/4
Let f = 1/15 + 0. Let a(x) be the first derivative of 1/12*x**4 + 0*x**2 + 0*x**3 - f*x**5 + 4 + 0*x. Factor a(z).
-z**3*(z - 1)/3
Suppose 4*j - j = -9. Let l = 5 + j. Suppose -16/9*q + 98/9*q**4 - 140/9*q**3 - 104/9*q**l + 0 = 0. Calculate q.
-2/7, 0, 2
Factor -2*c + 6*c + 0*c + 4*c**5 - 12*c**3 + 4*c**3.
4*c*(c - 1)**2*(c + 1)**2
Let i be 2 - (2 - (2 + 0)). Let z be (-2)/15*40/(-4). Factor 2/3*j**i - z*j + 2/3.
2*(j - 1)**2/3
Let b be (0 - -3) + -1 - 12. Let n = 10 + b. Factor n*r - 2/3*r**4 - 2*r**5 + 4/3*r**3 + 0*r**2 + 0.
-2*r**3*(r + 1)*(3*r - 2)/3
Factor 3/4*o**5 - 9/2*o**3 + 3/2*o**2 - 9/4 + 15/4*o + 3/4*o**4.
3*(o - 1)**3*(o + 1)*(o + 3)/4
Let o(z) = z**3 - z**2 + z. Let n(h) = 13*h - 1. Let k be n(1). Let j be k/(-10)*(-4 - 1). Let w(t) = 2*t**2 - 5*t. Let i(u) = j*o(u) + 2*w(u). Factor i(v).
2*v*(v - 1)*(3*v + 2)
Suppose -5*h - 3*m + 15 = 0, 0 = 2*h - 6*h + 5*m + 12. Suppose 2*o - 10 = -0, 34 = h*q + 5*o. Factor -7/3*y**2 + 5/3*y**4 + 2/3 + y**q - y.
(y - 1)*(y + 1)**2*(5*y - 2)/3
Let c(o) be the third derivative of -1/30*o**5 - 1/18*o**3 + 1/18*o**4 + 0*o - 1/630*o**7 + 1/90*o**6 + 0 - o**2. Factor c(u).
-(u - 1)**4/3
Let n(d) = d**5 - d**4 + d**3 + d - 1. Let r(b) = 5*b**5 - 18*b**4 + 19*b**3 - 4*b**2 + 2*b - 2. Let t(q) = 2*n(q) - r(q). What is c in t(c) = 0?
0, 1/3, 1, 4
Let u(q) = 2*q**2 + 7*q. Let f(t) = -t**2 - 6*t. Let d(o) = -5*f(o) - 4*u(o). Find z such that d(z) = 0.
0, 2/3
Find i such that 2*i - 2*i**3 - 2 + 20*i**2 + 14*i**2 - 32*i**2 = 0.
-1, 1
Let s = -165373/9 - -18312. Let g = s - -63. Factor 4/9*k**3 + g - 2/3*k**2 + 0*k.
2*(k - 1)**2*(2*k + 1)/9
Solve -58*j**2 - 2*j - 42*j**2 + 10*j = 0.
0, 2/25
Factor -112*v - 180*v**2 - 3 - 9 - 4.
-4*(5*v + 2)*(9*v + 2)
Let s(k) = 3*k + 63. Let c be s(-20). Find l, given that -2/3 + 2/3*l**c + 2*l - 2*l**2 = 0.
1
Let t be 3/(-9)*0 + 3. Factor -21 + 21 - 6*u**t - 3*u**4 - 3*u**2.
-3*u**2*(