**3 - 6*y**2 - 1 + 4*y + 8*y**3 = 0?
-1, 0, 2/5
Let c(t) be the first derivative of 8*t**3 - 2*t**2 - 4*t - 2. Factor c(d).
4*(2*d - 1)*(3*d + 1)
Let u(n) = -n**2 + 7*n - 13. Let x(t) = t**2 - 4*t + 7. Let b(r) = 4*u(r) + 7*x(r). Factor b(w).
3*(w - 1)*(w + 1)
Factor 0*q - 15 - 5 + 4*q - 5*q**2 + 16*q.
-5*(q - 2)**2
Suppose 24 + 31 = 5*c. Let s(o) = -7*o**4 + 9*o**3 + 27*o**2 - 9*o - 9. Let g(q) = -2*q**4 + 3*q**3 + 9*q**2 - 3*q - 3. Let a(v) = c*g(v) - 4*s(v). Factor a(j).
3*(j - 1)**2*(j + 1)*(2*j + 1)
Factor -1/9*h**2 + 2/9*h + 8/9.
-(h - 4)*(h + 2)/9
Let z(h) be the third derivative of -h**8/20160 + h**7/2520 - h**5/15 - 2*h**2. Let d(o) be the third derivative of z(o). Find s, given that d(s) = 0.
0, 2
Let i(s) be the third derivative of s**8/112 + s**7/210 - 3*s**6/40 + s**5/20 + s**4/12 + 2*s**2. Suppose i(u) = 0. Calculate u.
-2, -1/3, 0, 1
Factor 6/25*v**3 + 18/25*v - 4/25 - 4/5*v**2.
2*(v - 2)*(v - 1)*(3*v - 1)/25
Let y be (1/(-7))/(9/(-36)). Let m = 36/35 + y. Solve -m*z - 8/5 - 2/5*z**2 = 0.
-2
Let q(m) = -2*m - 8. Let j be q(-4). Suppose 0*r + 3*r = 0. Factor 0*u + 1/3*u**5 + 0 + j*u**4 + r*u**2 + 0*u**3.
u**5/3
Let l(p) = 4*p**5 + 9*p**4 + 6*p**3 - 3*p**2 + 3*p - 3. Let w(c) = -9*c**5 - 19*c**4 - 11*c**3 + 7*c**2 - 7*c + 7. Let i(o) = -14*l(o) - 6*w(o). Factor i(v).
-2*v**3*(v + 3)**2
Let i be 2/1 - (0 + 0). Let -1 - 6*t**2 - 3*t**i - 4*t - 2*t = 0. What is t?
-1/3
Suppose 3*r - 21 = -5*f, -f + 2*f = -2*r + 7. Let g be (1 + -28)*f/(-45). Factor g*t**3 - 12/5*t**2 + 4/5*t + 0.
t*(3*t - 2)**2/5
Let n be -1 + -2 + 6 + -3. Suppose -u - 5*j + 14 = 0, -2*u + j = -n*j - 6. Let -g**4 + 3 + 5*g**u - 6*g**2 - g**4 = 0. Calculate g.
-1, 1
Let s(t) be the first derivative of 1/10*t**2 + 1/20*t**4 + 1/10*t**3 - 2*t + 1/100*t**5 - 1. Let l(b) be the first derivative of s(b). Factor l(v).
(v + 1)**3/5
Let c be 2/(-2 - -4)*0. Let t(a) be the third derivative of -1/24*a**4 + a**2 + c - 1/120*a**6 + 0*a**3 + 1/30*a**5 + 0*a. Factor t(i).
-i*(i - 1)**2
Let k(w) be the second derivative of 0 + 1/120*w**6 - 5*w + 0*w**2 + 3/80*w**5 - 5/48*w**4 - 1/168*w**7 + 1/12*w**3. Solve k(q) = 0.
-2, 0, 1
Let b(c) be the first derivative of -c**7/2940 + c**6/630 - c**5/420 - c**3/3 - 3. Let v(k) be the third derivative of b(k). Factor v(p).
-2*p*(p - 1)**2/7
Let y(m) be the first derivative of -m**4/4 - m**2/2 - 2. Let l(h) = 10*h**3 + 12*h**2 + 14*h + 2. Let t(c) = 2*l(c) + 10*y(c). Factor t(o).
2*(o + 1)**2*(5*o + 2)
Let u be (11/(-11))/(3/(-12)). Let -1/2*g**5 - 7*g**3 - 9/2*g - 8*g**2 - 1 - 3*g**u = 0. Calculate g.
-2, -1
Let k(t) = -2*t**3 - 11*t**2 + 2*t + 25. Let r(l) = -l**3 - 7*l**2 + l + 17. Let v(j) = -5*k(j) + 7*r(j). Factor v(z).
3*(z - 1)*(z + 1)*(z + 2)
Factor -6*n + 3*n**3 - 4*n**2 + 0*n**2 + n**2.
3*n*(n - 2)*(n + 1)
Let j = 183/77 - 1/11. Let b be 4/5*(-45)/(-126)*1. Factor 0 + 0*u - 10/7*u**4 - 8/7*u**2 - b*u**5 - j*u**3.
-2*u**2*(u + 1)*(u + 2)**2/7
Let z(h) be the first derivative of -h**6/900 + h**5/300 + h**4/30 + 2*h**3/3 + 6. Let o(i) be the third derivative of z(i). Factor o(b).
-2*(b - 2)*(b + 1)/5
Let o(q) be the third derivative of -5*q**8/672 + 5*q**7/28 - 5*q**6/3 + 20*q**5/3 - 320*q**3/3 + 42*q**2. Factor o(l).
-5*(l - 4)**4*(l + 1)/2
Let f = -3/124 - -133/372. Factor 0 - 1/3*g**5 + f*g**3 - 1/3*g**4 + 0*g + 1/3*g**2.
-g**2*(g - 1)*(g + 1)**2/3
Factor -2/7*z**3 + 6/7*z**2 - 6/7*z + 2/7.
-2*(z - 1)**3/7
Let l(d) = d**5 + 5*d**4 + 9*d**3 - 5*d**2 + 5. Let j(c) = -4*c**4 - 8*c**3 + 4*c**2 - 4. Let i(r) = 5*j(r) + 4*l(r). Factor i(o).
4*o**3*(o - 1)*(o + 1)
Factor -12/7 - 3/7*o**2 + 12/7*o.
-3*(o - 2)**2/7
Let b = 1642/3 - 542. What is v in -8/3 + 6*v**3 - b*v + 2*v**2 = 0?
-2/3, 1
Let n(t) be the second derivative of t**4/8 - 5*t**3/4 - 9*t**2/2 + 27*t. Let n(g) = 0. Calculate g.
-1, 6
Let k(f) = -f - 2. Let g be k(2). Let i = g + 7. Factor -p + p - p**i - 2*p**2 - p.
-p*(p + 1)**2
Suppose -32 = -4*t + 4*l, 3*t + 2*l = -2*t + 5. Let j(k) be the second derivative of -4*k - 1/30*k**5 + 0 + 1/18*k**4 + 0*k**2 + 2/9*k**t. Factor j(f).
-2*f*(f - 2)*(f + 1)/3
Let o = -51 + 53. Let w(t) be the first derivative of 3 + t + t**o + 1/3*t**3. What is r in w(r) = 0?
-1
Let x be 4/(-63) + 72/252. Factor -4/9*l + 0*l**2 + 4/9*l**3 + 2/9*l**4 - x.
2*(l - 1)*(l + 1)**3/9
Let s = 195/4 - 541/12. Factor 4/3*l**2 - 1 - s*l.
(l - 3)*(4*l + 1)/3
Let o(y) be the third derivative of -y**6/90 + y**5/15 + y**4/2 + 10*y**3/9 + 29*y**2. Find b, given that o(b) = 0.
-1, 5
Let f(r) be the second derivative of -2*r + r**2 - 1/6*r**3 + 0 - 1/12*r**4. Find l such that f(l) = 0.
-2, 1
Let g(d) = 9*d**5 + 6*d**4 - 3*d**3. Let h(x) = -10*x**5 - 6*x**4 + 3*x**3 - x**2. Let t be 12/18 + 40/(-6). Let a(j) = t*h(j) - 7*g(j). Solve a(n) = 0.
-2, -1, 0, 1
Suppose 39*l = 41*l. Let h(o) be the first derivative of 1/3*o**3 - 1 + l*o**2 + 0*o. Factor h(s).
s**2
Let z be -1*(1 - -2 - 5). Find o such that 1/2*o**5 + 0*o**4 + 0*o**z + 0*o**3 + 0*o + 0 = 0.
0
Let f(r) be the third derivative of -3/8*r**4 + 1/30*r**5 + 3/40*r**6 + 3*r**2 + 0 + 0*r + 1/3*r**3 - 2/105*r**7. Determine a, given that f(a) = 0.
-1, 1/4, 1, 2
Let g(m) be the first derivative of -m**5/5 - 9*m**4/4 + m**3/3 + 17*m**2/2 + 8*m - 2. Let o(z) = 3*z**3 - 6*z - 3. Let w(b) = 3*g(b) + 8*o(b). Factor w(l).
-3*l*(l - 1)*(l + 1)**2
Let v(n) be the first derivative of 2*n + 2 - 10*n**2 + 50/3*n**3. Factor v(g).
2*(5*g - 1)**2
Let g(v) be the third derivative of v**5/30 - v**4/4 + 2*v**3/3 + 2*v**2. Solve g(l) = 0.
1, 2
Let o(r) be the first derivative of 2/5*r**5 - 2/3*r**3 - 7 + r**2 + 0*r - 1/2*r**4. Suppose o(f) = 0. What is f?
-1, 0, 1
Let l(u) = u + 18. Suppose -4*p = -4*k - 60, -38 = 2*k + k + 4*p. Let n be l(k). Let 35/2*i**3 - 22*i + n + 29*i**2 - 75/2*i**4 = 0. Calculate i.
-1, 2/5, 2/3
Let x(p) be the second derivative of 1/12*p**4 + p**2 + 1/2*p**3 + 0 - 4*p. Determine r, given that x(r) = 0.
-2, -1
Let w(p) = -6*p**2 - 3*p + 1. Let v(c) = -c**2 + 1. Let x(o) = -4*v(o) + w(o). Let s(b) = -11*b**2 - 17*b - 17. Let y(k) = -6*s(k) + 34*x(k). Factor y(m).
-2*m**2
Let o(q) be the third derivative of q**7/210 + q**6/120 - 5*q**2. Factor o(s).
s**3*(s + 1)
Let i = -133 - -139. Let r(z) be the first derivative of 2 - 3/2*z**4 - 3*z - 1/2*z**i + 9/2*z**2 + 9/5*z**5 - 2*z**3. Determine y so that r(y) = 0.
-1, 1
Factor -15*b**2 + 35*b**3 + 5*b**5 + 333 - 25*b**4 - 333.
5*b**2*(b - 3)*(b - 1)**2
Determine t, given that -8/9*t + 8/9 + 2/9*t**2 = 0.
2
Let j be (-6)/4 - 368/(-32). Factor -3*h**4 + 3*h - 9*h**2 + 20*h**3 - h**3 - j*h**3.
-3*h*(h - 1)**3
Factor 80*m**5 - 47*m + 5*m**3 + 40*m**4 + 47*m.
5*m**3*(4*m + 1)**2
Let p(z) be the second derivative of -11*z**7/21 - 104*z**6/45 - 56*z**5/15 - 7*z**4/3 + z**3/9 + 2*z**2/3 - 23*z. Find i such that p(i) = 0.
-1, -1/3, 2/11
What is c in -6*c**2 + 2*c**3 + 2*c**2 + 13*c - 11*c + 0*c**3 = 0?
0, 1
Let f(y) be the first derivative of 0*y - 1/5*y**2 - 3/5*y**3 + 1 - 7/20*y**4. Factor f(v).
-v*(v + 1)*(7*v + 2)/5
Let v(o) be the second derivative of -3*o**5/16 - 7*o**4/16 - o**3/4 - 5*o. Factor v(x).
-3*x*(x + 1)*(5*x + 2)/4
Let -5/3*s + 0 + 0*s**3 + 5/2*s**2 - 5/6*s**4 = 0. What is s?
-2, 0, 1
Let c be (-3)/9*0/(2 - -1). Let a(l) be the first derivative of c*l + 4 + 1/4*l**2 + 1/12*l**3. Factor a(b).
b*(b + 2)/4
Find t, given that 48*t + 112/3*t**2 + 12*t**3 + 4/3*t**4 + 64/3 = 0.
-4, -2, -1
Let c(k) be the third derivative of 0*k - 1/110*k**5 + 1/44*k**4 + 3*k**2 + 0 - 1/33*k**3 + 1/660*k**6. Factor c(d).
2*(d - 1)**3/11
Suppose -4*c + 16 = 0, -7*c = -5*a - 2*c - 5. Factor -2 - 5*u**2 + 0 + u**2 - 5*u - u**a.
-(u + 1)**2*(u + 2)
Let x(c) be the third derivative of c**9/2520 - c**8/1680 - c**7/1260 - c**4/12 + c**2. Let l(z) be the second derivative of x(z). Let l(o) = 0. What is o?
-1/3, 0, 1
Factor -2/5*f**3 + 0 - 2/5*f**4 + 2/5*f**2 + 2/5*f**5 + 0*f.
2*f**2*(f - 1)**2*(f + 1)/5
Suppose x - 12 = -3*x. Let u(m) = -11*m**3 + 19*m**2 - 12*m - 3. Let h(i) = 5*i**3 - 9*i**2 + 6*i + 1. Let l(j) = x*u(j) + 7*h(j). Factor l(a).
2*(a - 1)**3
Let a(b) be the first derivative of -4*b**5/15 - 11*b**4/12 + b**3/3 + 8*b**2/3 - 4*b/3 - 5. Let a(x) = 0. Calculate x.
-2, 1/4, 1
Factor 9/2*f + 3/2*f**2 + 0.
3*f*(f + 3)/2
Factor 4*b**3 + 3*b**4 + 11*b**5 + b**4 - 15*b**5 - 4*b**2.
-4*b**2*(