*b + 6*p**2. Factor n(y).
-2*(y - 1)**3*(3*y - 1)
Suppose -4*b + 2*m + 2 + 12 = 0, -4*b + 3*m = -15. Let v(f) be the first derivative of 0*f - 2 + 1/6*f**2 + 1/3*f**b + 1/6*f**4. Factor v(x).
x*(x + 1)*(2*x + 1)/3
Let m(h) = -h**3 - 2*h**2 + 3*h + 1. Let z be m(-3). Factor -i + 4*i**3 + z - 3 + 2*i**4 - 6*i + 3*i.
2*(i - 1)*(i + 1)**3
Let b be ((-4)/10)/(19/5). Let w = b + 27/76. Determine o, given that -w*o**4 - 1/4*o**3 + 3/4*o**2 + 1/4*o - 1/2 = 0.
-2, -1, 1
Let k(y) be the second derivative of 1/6*y**4 + 0 - 3*y**2 - 2/3*y**3 + 2*y. Suppose k(s) = 0. What is s?
-1, 3
Let f(p) be the second derivative of -2/7*p**3 + 0 + 2*p - 2/35*p**5 - 1/7*p**2 - 3/14*p**4. Suppose f(b) = 0. Calculate b.
-1, -1/4
Determine x, given that -3*x**4 - 3*x**4 - 3*x**3 + 3*x**3 + 3*x**3 = 0.
0, 1/2
Let u(k) = -110*k**4 - 440*k**3 - 265*k**2 + 485*k + 375. Let v(d) = -5*d**4 - 20*d**3 - 12*d**2 + 22*d + 17. Let o(r) = 2*u(r) - 45*v(r). Factor o(j).
5*(j - 1)*(j + 1)**2*(j + 3)
Let y(a) be the first derivative of -2*a**3/3 - 2*a**2 - 2*a - 7. Factor y(s).
-2*(s + 1)**2
Suppose b - y + 0*y - 5 = 0, 8 = b - 2*y. Let r = 2 + b. Factor 6*k**4 - r + 5*k**3 + 5*k**3 - 10*k + 3*k**2 - 5*k**2.
2*(k - 1)*(k + 1)**2*(3*k + 2)
Let q = 0 + 5. Factor -7*g + 0*g + 2 + 0*g**2 - q*g**2 + 4*g**3.
(g - 2)*(g + 1)*(4*g - 1)
Let i(r) be the second derivative of -6*r**6/25 - 21*r**5/25 - r**4/15 + 6*r**3/5 - 4*r**2/5 - 29*r. What is a in i(a) = 0?
-2, -1, 1/3
Suppose 0 = -5*h + 4*a + 46, 5*h - 20 - 27 = 3*a. Let m = -4 + h. Factor 10*k**3 - 9*k - 4 + 0*k**2 - 2*k**2 + m*k**4 - k.
2*(k - 1)*(k + 1)**2*(3*k + 2)
Let r(d) be the second derivative of -3*d**8/2800 + d**7/280 - d**6/600 - d**5/200 - d**3/2 - 3*d. Let p(i) be the second derivative of r(i). Factor p(a).
-3*a*(a - 1)**2*(3*a + 1)/5
Let y(u) be the third derivative of u**8/112 - u**7/35 + u**6/40 - 5*u**2. Factor y(d).
3*d**3*(d - 1)**2
Factor 0*t**3 - 2/7*t**4 + 0*t + 2/7*t**2 + 0.
-2*t**2*(t - 1)*(t + 1)/7
Let j = -23 + 24. Let l be (7/(-3) - -2)*-9. Factor 2*s**4 - j + 0*s**4 + 1 - s**l - s**5.
-s**3*(s - 1)**2
Let k(p) be the third derivative of -p**6/60 - p**5/6 - 2*p**4/3 - 4*p**3/3 - 48*p**2. Factor k(o).
-2*(o + 1)*(o + 2)**2
Let h(f) = f**3 - f**2. Let s(j) = -2*j**3 + j**2 + j. Suppose -4*n + 5*n = 2*g + 30, 0 = -g - 3*n - 15. Let y(w) = g*h(w) - 6*s(w). Factor y(o).
-3*o*(o - 2)*(o - 1)
Let y(h) = -10*h**3 + 25*h**2 - 35*h + 35. Let g(q) = q**3 - 3*q**2 + 4*q - 4. Let l(j) = -35*g(j) - 4*y(j). Determine x so that l(x) = 0.
-1, 0
Let f(w) be the first derivative of 0*w + 1/3*w**3 + 0*w**2 + 7 + 3/5*w**5 - 1/6*w**6 - 3/4*w**4. Factor f(c).
-c**2*(c - 1)**3
Let y(l) = -l. Let d(v) = -2*v**2 + 8*v. Let c(j) = 2*d(j) + 20*y(j). Find n, given that c(n) = 0.
-1, 0
Suppose -125 = -4*z - z. Suppose -m = 4*m - z. Factor -1 + 1 + 2*w**m.
2*w**5
Let v(y) = -9*y**2 - 9*y + 11. Let x(b) = 4*b**2 + 4*b - 5. Let j(f) = -3*v(f) - 7*x(f). Factor j(t).
-(t - 1)*(t + 2)
Let i(n) be the second derivative of -n**4/36 + n**3/9 + n**2/2 + 11*n. Factor i(b).
-(b - 3)*(b + 1)/3
Let v(g) be the first derivative of 5*g**6/6 + 2*g**5 - 5*g**4/4 - 10*g**3/3 - 5. Determine c, given that v(c) = 0.
-2, -1, 0, 1
Let u be ((-144)/42)/((-3)/21). Let z = u + -71/3. Factor -z*r**3 - r**2 - r - 1/3.
-(r + 1)**3/3
Let p(j) be the second derivative of j**4/20 - 2*j**3 + 30*j**2 + 38*j. Factor p(t).
3*(t - 10)**2/5
Let n = 232 - 688/3. Factor 22/3*x + n*x**3 - 4/3 - 26/3*x**2.
2*(x - 2)*(x - 1)*(4*x - 1)/3
Factor 3*q**3 - 12*q**2 - 2*q**4 - q**3 - 2 + 8*q + 6*q**3.
-2*(q - 1)**4
Let t(q) be the first derivative of -q**7/1680 + q**6/720 + 2*q**3 + 10. Let x(b) be the third derivative of t(b). Determine u, given that x(u) = 0.
0, 1
Let i(r) be the second derivative of -r**4/3 - 4*r**3 - 7*r - 2. Determine a, given that i(a) = 0.
-6, 0
Let w(p) be the third derivative of p**6/80 - p**5/60 - p**4/16 + p**3/6 + 9*p**2. Let w(t) = 0. What is t?
-1, 2/3, 1
Let g(b) = -b**3 + 2*b**2 - b + 1. Let k(f) = -4*f**3 + 14*f**2 - 16*f + 8. Let x(t) = 2*g(t) - k(t). Factor x(r).
2*(r - 3)*(r - 1)**2
Let y(u) be the second derivative of 1/390*u**5 + 0 + u + 0*u**2 + 0*u**4 + 1/3*u**3 + 1/2340*u**6. Let r(n) be the second derivative of y(n). Factor r(v).
2*v*(v + 2)/13
Let v(w) be the first derivative of -w**5/30 + w**4/12 + 2*w**3/3 + 3*w**2/2 + 3. Let g(c) be the second derivative of v(c). Factor g(z).
-2*(z - 2)*(z + 1)
Let j(s) = -9*s**4 + s**3. Suppose -4*y = -2*y - 12. Let a = y + 2. Let t(l) = -6*l**4 + l**3. Let o(u) = a*t(u) - 5*j(u). Let o(q) = 0. Calculate q.
0, 1
Let h = -8 - -10. Let r(m) be the first derivative of 0*m + 2/5*m**5 + 2*m**3 + h + 3/2*m**4 + m**2. Factor r(d).
2*d*(d + 1)**3
Suppose 0 = 6*m - 5*m. Let o(k) be the third derivative of -2*k**2 + 1/15*k**5 + 1/48*k**4 + 0 + 1/48*k**6 - 1/6*k**3 + m*k. Suppose o(x) = 0. Calculate x.
-1, 2/5
Suppose 4*o - 3*o**3 - 4*o - 8*o**2 + o**3 = 0. What is o?
-4, 0
Let i(b) be the first derivative of -b**6/180 + b**5/60 - b**3 - 6. Let m(v) be the third derivative of i(v). Factor m(g).
-2*g*(g - 1)
Let c = -2/1353 + 904/1353. Factor -13/3*w + 4/3*w**3 - c - 6*w**2 + 3*w**5 + 20/3*w**4.
(w - 1)*(w + 1)**3*(9*w + 2)/3
Let q(b) = 6*b**3 - b**2 + 4*b + 4. Let d(r) = -13*r**3 + 2*r**2 - 9*r - 9. Let m(p) = -4*d(p) - 9*q(p). What is g in m(g) = 0?
0, 1/2
Let t be (-4 - 1) + -1 + 8. Suppose 3/2 - 1/2*l**t + l = 0. What is l?
-1, 3
Let u(d) be the first derivative of d**4/4 + 11*d**3/3 - 11*d**2/2 + 14*d - 3. Let k be u(-12). Let -1/3 + 1/3*c**k - 1/3*c**3 + 1/3*c = 0. Calculate c.
-1, 1
Suppose 2/9*g + 2/9*g**3 - 4/9*g**2 + 0 = 0. Calculate g.
0, 1
Suppose 0 = -f + 11 - 11. Let h(t) be the second derivative of f + 0*t**2 - 1/60*t**5 - t + 1/18*t**3 + 0*t**4. Solve h(c) = 0.
-1, 0, 1
Let u(z) = 2*z - 16. Let t be u(-10). Let q be 10/(-45) + (-14)/t. Suppose 1/6*p**2 + 0*p - q = 0. Calculate p.
-1, 1
Let n(i) be the second derivative of i**5/150 - i**4/90 + 18*i. Solve n(w) = 0 for w.
0, 1
Let g(m) be the third derivative of m**7/70 + 2*m**6/15 + 22*m**5/45 + 8*m**4/9 + 8*m**3/9 - 5*m**2. Factor g(t).
(t + 2)**2*(3*t + 2)**2/3
Find w, given that 2*w - 2*w**3 - 4*w**4 + 6*w**2 + w**4 + w**4 - 4*w**2 = 0.
-1, 0, 1
Let p(q) be the first derivative of q**6/9 - 2*q**5/45 - q**4/2 + 2*q**3/3 - 2*q**2/9 - 9. Let p(h) = 0. What is h?
-2, 0, 1/3, 1
Suppose 2 = -5*o + r, -5*o = -3*o - 5*r + 10. Let c(a) be the second derivative of 1/15*a**6 + o + 1/2*a**4 - 1/3*a**3 - 3/10*a**5 + a + 0*a**2. Factor c(p).
2*p*(p - 1)**3
Let h(v) be the second derivative of v**6/360 + v**5/180 - v**4/72 - v**3/18 - v**2 + v. Let q(f) be the first derivative of h(f). Factor q(d).
(d - 1)*(d + 1)**2/3
Let o(q) = -2*q**3 - 24*q**2 - 8*q + 4. Let n(s) be the first derivative of s**4/4 - s**3/3 + 10. Let t(x) = 5*n(x) - o(x). Determine u, given that t(u) = 0.
-2, -1, 2/7
Let a(o) = -3*o**2 + 29*o + 39. Let d(x) = -2*x**2 + 14*x + 20. Let z(c) = 4*a(c) - 7*d(c). Solve z(u) = 0 for u.
-8, -1
Let u(s) be the third derivative of -1/24*s**3 - 1/32*s**4 + 0*s - 1/480*s**6 - 2*s**2 - 1/80*s**5 + 0. Factor u(d).
-(d + 1)**3/4
Let p = -209/6 - -35. Let r(u) be the second derivative of u + 0*u**2 - 1/30*u**6 + 1/12*u**4 + 0 - 1/20*u**5 + p*u**3. Determine h, given that r(h) = 0.
-1, 0, 1
Let l be 1408/576 - (-4)/(-9). Determine z, given that 39/5*z**l + 12/5 + 3/5*z**4 + 18/5*z**3 + 36/5*z = 0.
-2, -1
Let c be 7 + 1/(0 + -1). Factor -18*q - 27 + 2*q**2 + q**2 - c*q**2.
-3*(q + 3)**2
Let f(a) be the second derivative of a**5/10 - a**4/2 + 4*a**2 - 21*a. Find r such that f(r) = 0.
-1, 2
Let j be (-16)/(-10) + 7/(-70). Factor 0*c - j*c**2 - 3/4*c**3 + 0.
-3*c**2*(c + 2)/4
Let d = -1 + -1. Let j = 9/4 + d. Factor -1 - 3/4*b**3 + 2*b - j*b**2.
-(b - 1)*(b + 2)*(3*b - 2)/4
Let c(i) be the third derivative of 0 + 1/6*i**3 + 0*i + i**2 - 7/120*i**5 - 5/48*i**4. Factor c(b).
-(b + 1)*(7*b - 2)/2
Let n(j) = 4*j - 11 - 3*j - 2*j**2 - 6*j + 0. Let f be (-3)/((2 + 0)/2). Let b(t) = t - 1. Let s(k) = f*b(k) + n(k). Solve s(q) = 0 for q.
-2
Let f be (-41)/4*(-5 + 9). Let t = 85/2 + f. Determine m so that 15/2*m**2 - 11/2*m**3 + t*m**4 + 1 - 9/2*m = 0.
2/3, 1
Let q(v) be the first derivative of 2*v**4/21 + 3*v**3/7 + 2*v**2/7 - 4*v + 2. Let m(x) be the first derivative of q(x). 