2*f + 2*t + 8 = 0, -5*f - 8 = -0*t + 2*t. Suppose 3*l = 0, f*o + o - 2*l = 0. Factor -z**3 + o - 1/3*z**2 - 1/3*z**5 - z**4 + 0*z.
-z**2*(z + 1)**3/3
Let k(n) be the second derivative of 6*n + 0*n**3 - 1/30*n**6 - 1/24*n**4 - 1/16*n**5 + 0*n**2 - 1/168*n**7 + 0. Solve k(v) = 0.
-2, -1, 0
Factor 5*s**3 + 23*s**3 - 4*s**4 + 11*s - 60*s**2 - 2*s + 27*s.
-4*s*(s - 3)**2*(s - 1)
Let s(h) be the first derivative of 2*h**5/55 - h**4/11 + 2*h**2/11 - 2*h/11 + 7. Factor s(u).
2*(u - 1)**3*(u + 1)/11
Let s be 84/(-105) + (-44)/(-30). Factor 0 + 0*c - 2/3*c**2 + s*c**3.
2*c**2*(c - 1)/3
Let m = 1224/5 - 244. Let -6/5*q - m - 2/5*q**2 = 0. What is q?
-2, -1
Let o(i) be the third derivative of -1/420*i**7 + 0*i + 1/48*i**4 + 1/120*i**5 + i**2 - 1/240*i**6 + 0*i**3 + 0. Factor o(t).
-t*(t - 1)*(t + 1)**2/2
What is v in -2/3*v**2 + 4 - 2/3*v = 0?
-3, 2
Factor -2/3*o**5 + 0 + 0*o - 2/3*o**2 + 2/3*o**3 + 2/3*o**4.
-2*o**2*(o - 1)**2*(o + 1)/3
Let q(c) be the second derivative of c**4 - 10*c**3/3 + 4*c**2 - 5*c. Factor q(d).
4*(d - 1)*(3*d - 2)
Suppose -2*b = 2*b + 4*h, -6 = -5*b - 2*h. Let t be (-2 - (-2)/(-2)) + (-9)/(-2). Factor 0*c**b + 1/2*c**3 - t*c - 1.
(c - 2)*(c + 1)**2/2
Let o = -26/69 - -626/1173. Let n = o - -3/17. Let -1/3*k**2 - n*k**3 + 1/3 + 1/3*k = 0. What is k?
-1, 1
Let v(n) = -n**2 - n. Let s(d) = d**2 + 3*d - 2. Let y(j) = -2*s(j) + 4*v(j). Let y(w) = 0. What is w?
-2, 1/3
Let p = -1/12 + 1/6. Let m(b) be the second derivative of 0 + 2*b + 2*b**2 - 2/3*b**3 + p*b**4. Determine z, given that m(z) = 0.
2
Suppose -6 - 48 = -2*c. Let t be 21/(-14)*(-4)/c. Solve t*b**2 - 4/9 + 2/9*b = 0 for b.
-2, 1
Let t = -2 + -2. Let o = t + 6. Factor -2/3*j**o + 0 - 2/3*j.
-2*j*(j + 1)/3
Let p(a) = a**3 - 16*a**2 - 16*a - 19. Let u be p(17). Let d be u/(-2 + -2 + -2). Factor 1/3 + 0*g - d*g**2.
-(g - 1)*(g + 1)/3
Suppose 5*u - 50 = 5*m, -4*u + 2*m + 37 = 7. Suppose 3*t + z = -2*z, -t + u*z = -12. Determine i so that -2/5*i + 0 + 8/5*i**3 + 6/5*i**t = 0.
-1, 0, 1/4
Let l be 1/(-2)*(-5 + 1 - -4). Suppose l + 2/3*s - s**2 = 0. What is s?
0, 2/3
Let y(a) be the second derivative of 0*a**2 - 5/3*a**6 + 2/3*a**3 - 1/2*a**4 - 3*a + 0 - 3/7*a**7 - 21/10*a**5. Suppose y(p) = 0. Calculate p.
-1, 0, 2/9
Let c(z) = -19*z**3 - 18*z**2 + 11*z + 19. Let p(s) = -10*s**3 - 9*s**2 + 5*s + 10. Let t(y) = 4*c(y) - 7*p(y). Let t(v) = 0. Calculate v.
-2, -1/2, 1
Suppose 3*q - 3 = 3. Factor 2 - 3*w**3 + w**3 + 4*w**q + 2*w**2 - 6*w.
-2*(w - 1)**3
Let g(s) be the second derivative of 2*s**5/5 + 2*s**4/3 - 5*s**3 - 18*s**2 - 8*s. Factor g(a).
2*(a - 2)*(2*a + 3)**2
Suppose -2*w + 109 = 105. What is q in 0 + 0*q - 1/4*q**w + 1/4*q**3 = 0?
0, 1
Factor 7 + x**4 + 3 - 65*x + 120*x**2 + 19*x**4 - 85*x**3.
5*(x - 2)*(x - 1)**2*(4*x - 1)
Let f be (0 - -1) + 3/1. Let k be 54/120 - 1/f. Determine q so that 1/5*q**3 + 1/5 - 1/5*q - k*q**2 = 0.
-1, 1
Let n = 4 + -4. Let h = 0 - n. Factor 2/3*r**3 + 0*r**2 + 0*r + h.
2*r**3/3
Suppose 15 = -3*m, 3*h + 0*h - 2*m = 25. Let s = 5 + -3. Suppose 4*v**2 + 2*v**4 - 3*v**4 - h*v**s - 2*v**3 = 0. What is v?
-1, 0
Determine y so that 10*y**3 + 12*y - 8*y**4 + 20*y**2 - 4*y - 2*y**5 - 16 - 12*y**3 = 0.
-2, 1
Let r = 2 - 0. Let n(k) be the first derivative of -1/4*k**4 - 2 - 2*k**3 - 6*k**r - 8*k. Factor n(v).
-(v + 2)**3
Let s(d) be the second derivative of -2*d**7/21 + 2*d**6/15 + d**5/5 - d**4/3 - d. Factor s(a).
-4*a**2*(a - 1)**2*(a + 1)
Let f = -5 - -10. Suppose -f*q = -4*c + 20, 0 = -2*c - 2*c + 2*q + 8. Let y + c*y**2 + y**2 + 0*y = 0. What is y?
-1, 0
Let q(s) be the second derivative of 0 + 0*s**2 + 3*s - 1/5*s**5 + 0*s**4 + 2/3*s**3. Factor q(y).
-4*y*(y - 1)*(y + 1)
Let p(l) be the first derivative of -l**5 - 5*l**4/4 - 7. Factor p(i).
-5*i**3*(i + 1)
Suppose y - 5*y + 20 = 0, -2*w = 3*y - 11. Let s(d) = -3*d - 1. Let g be s(w). Find p, given that -12*p**3 - 4*p**2 + 2*p + g*p**3 + 9*p**3 = 0.
0, 1
Let u = -155/3 + 53. Factor -2/3*b**5 + 4/3*b**4 + 0*b**3 + 0 + 2/3*b - u*b**2.
-2*b*(b - 1)**3*(b + 1)/3
Find g such that 2/7*g**2 + 338/7 + 52/7*g = 0.
-13
Let s be 3/(45/(-25))*-3. Let o(t) be the third derivative of 1/240*t**s + 0*t**4 + 0 + 0*t + 1/480*t**6 + 0*t**3 + 3*t**2. Find y, given that o(y) = 0.
-1, 0
Let r(j) be the third derivative of 0*j**4 + 0*j**6 - 1/90*j**5 + 0 + 1/630*j**7 + 1/18*j**3 + 0*j - 6*j**2. Factor r(h).
(h - 1)**2*(h + 1)**2/3
Suppose 8 = 3*r - 1. Let p be -20*1*r/(-21). Suppose 24/7*s**4 - 4/7 + 10/7*s**5 + 8/7*s**3 - 18/7*s - p*s**2 = 0. Calculate s.
-1, -2/5, 1
Let i(y) = 5*y**2 - 8*y - 3. Let g(d) = -6*d**2 + 9*d + 4. Let c(v) = 6*g(v) + 7*i(v). Factor c(k).
-(k - 1)*(k + 3)
Let a(c) = -c + 5. Let o be a(-4). Suppose -3*y + 0*p = -4*p + 6, -5*p + 17 = y. Factor -3*t**y - 2*t + 2*t + o*t.
-3*t*(t - 3)
Let l = 16 + -13. Let q(k) be the first derivative of -2 - 1/3*k**l - 1/2*k**2 + 0*k. Suppose q(i) = 0. Calculate i.
-1, 0
Let q(k) be the third derivative of -k**8/56 - k**7/70 + 3*k**6/40 + k**5/20 - k**4/8 + 5*k**2. Find t such that q(t) = 0.
-1, 0, 1/2, 1
Suppose -28*j = -27*j - q - 3, -5*q - 15 = 5*j. Find k such that j*k - 2/3*k**3 + 0 + 2/3*k**2 = 0.
0, 1
Let q be -3 + 153/462 - -3. Let c = -1/22 + q. What is z in -c*z**5 + 0*z + 0*z**4 + 0*z**2 + 2/7*z**3 + 0 = 0?
-1, 0, 1
Let m(v) be the first derivative of -3 - 7/27*v**6 + 8/15*v**5 - 1/6*v**4 + 0*v**2 + 0*v - 4/27*v**3. Determine x so that m(x) = 0.
-2/7, 0, 1
Let w = 0 - -5. Let r(b) be the first derivative of 1/3*b**6 + 13/18*b**4 - 2 + 0*b**2 - 4/27*b**3 - 8/9*b**w + 0*b. Factor r(u).
2*u**2*(u - 1)**2*(9*u - 2)/9
Factor 3/7 - 9/7*q**3 + 9/7*q - 3/7*q**2.
-3*(q - 1)*(q + 1)*(3*q + 1)/7
Let l(w) = -3*w**5 - 2*w**4 - 5*w**3 + 5*w - 5. Let h(g) = g**5 + g**3 - g + 1. Let y(a) = -5*h(a) - l(a). Factor y(d).
-2*d**4*(d - 1)
Find j such that 0 + 0*j**2 + 0*j - 1/7*j**4 + 1/7*j**3 = 0.
0, 1
Let l be ((4/(-6))/(-1))/2. Suppose -20*q = -4*q - 32. Suppose l - 2*p + 3*p**q = 0. What is p?
1/3
Let z = -11 - -15. Factor 13*r**3 + 2*r**4 - 4*r - 2*r**2 - 9*r**3 + 2*r**z - 2*r**4.
2*r*(r - 1)*(r + 1)*(r + 2)
Let g = 1/22 - -5/11. Factor 1/4 + 1/4*z**2 + g*z.
(z + 1)**2/4
Let p = 13 + -13. Let u(x) be the third derivative of p*x + 0*x**3 + 0*x**4 + 1/360*x**6 + 0 + 1/180*x**5 - x**2. Factor u(g).
g**2*(g + 1)/3
Let k(r) be the first derivative of 25*r**6/6 - 18*r**5 - 65*r**4/4 + 30*r**3 + 20*r**2 - 34. Solve k(p) = 0 for p.
-1, -2/5, 0, 1, 4
Let w(t) be the third derivative of -t**5/15 - t**4/6 + 4*t**3/3 - 16*t**2. Factor w(f).
-4*(f - 1)*(f + 2)
Let a(h) be the second derivative of 3*h**5/20 - 11*h**4/12 + 2*h**3 - 2*h**2 + 4*h. Factor a(n).
(n - 2)*(n - 1)*(3*n - 2)
Let p(m) = m + 2. Let k be p(0). Factor -2*l**5 + 4*l**5 + 3*l**k - 2*l**4 - l**2 - 2*l**3.
2*l**2*(l - 1)**2*(l + 1)
Let x be (-5)/1*(-4)/5. Suppose x*m - 2 = 3*m. Let 0*w**3 - w**3 + m*w**2 - w**2 = 0. What is w?
0, 1
Let q(w) = -3 - 1 + 10*w**3 + 30*w - 5 + 3 - 32*w**2. Let h(f) = -f**2 + f - 1. Let b(x) = -2*h(x) - q(x). Let b(g) = 0. Calculate g.
2/5, 1, 2
Let w(j) be the third derivative of j**5/20 - 3*j**4/4 + 9*j**3/2 - 2*j**2 - 4*j. What is k in w(k) = 0?
3
Let v = 11/26 + 1/13. Factor 0*i**2 - 1/4 + v*i + 1/4*i**4 - 1/2*i**3.
(i - 1)**3*(i + 1)/4
Factor -1 - 7 + 5*g**2 - 10*g + 10 + 3.
5*(g - 1)**2
Factor -3/4*j**2 - 3*j - 9/4.
-3*(j + 1)*(j + 3)/4
Let n(m) be the first derivative of 1/150*m**5 + 0*m**3 - 1/30*m**4 - 2 + 0*m + m**2. Let b(x) be the second derivative of n(x). Factor b(u).
2*u*(u - 2)/5
Let r(o) be the third derivative of 7*o**6/60 + 13*o**5/15 + 13*o**4/12 - 2*o**3 + 13*o**2. Factor r(p).
2*(p + 1)*(p + 3)*(7*p - 2)
Solve -136/7*z - 10/21*z**3 - 48/7 - 124/21*z**2 = 0 for z.
-6, -2/5
Find y such that 0*y - 14/5*y**2 - 2/5*y**3 + 0 = 0.
-7, 0
Let l(a) be the third derivative of a**8/84 + 4*a**7/105 - 2*a**5/15 - a**4/6 - 7*a**2. Let l(f) = 0. Calculate f.
-1, 0, 1
Let v = -226/3 + 76. Let u(f) be the second derivative of -2*f - f**2 - 9/40*f**5 + 1/8*f**4 + v*f**3 + 0. Find n, given that u(n) = 0.
-1, 2/3
What is b in -12*b**2 - b**3 + 4 + 4*b - 3*b**3 + 8 = 0?
-3, -1, 1
Let q(r) be the second derivative of -r**7/70 + r**6/40 + r**5/10 + 4*r**2 + 9*r. Let i(c) be the first derivative of q(c). Let i(n) = 0. Calculate n.
-1, 0, 2
Factor -5*q**2 + 5*q**2 - 16*q - 4 - 7*q**2.
-(q 