that -10/7*b**4 + 0 + 16/7*b + 8/7*b**2 - 12/7*b**3 - 2/7*b**5 = 0.
-2, 0, 1
Let z(o) = o + 4. Let y be z(0). Factor 3*c + 86*c**4 + c**2 - 3*c**3 - 83*c**y - 4*c**2.
3*c*(c - 1)**2*(c + 1)
Let 16/11*f**3 - 90/11*f**4 + 8/11*f**2 + 0 + 0*f = 0. What is f?
-2/9, 0, 2/5
Let q(t) be the first derivative of t**2 - 1/15*t**3 - 1 + 0*t + 1/10*t**4 - 3/50*t**5. Let a(m) be the second derivative of q(m). Factor a(u).
-2*(3*u - 1)**2/5
Let x = 22 + -21. Let c be 4/(-8)*0*x. Solve -2/3*q**2 + 2/3*q + c = 0 for q.
0, 1
Let f(u) be the second derivative of -u**5/20 + u**4/12 + 13*u. Factor f(c).
-c**2*(c - 1)
Let l(i) be the third derivative of -5*i**8/1008 + i**7/126 + i**6/72 - i**5/36 - 13*i**2 + i. Solve l(v) = 0.
-1, 0, 1
Suppose 4*h + 2 = -5*p + 5*h, 4 = -5*p + 2*h. Let q(y) be the second derivative of p*y**2 - 2/25*y**6 - y + 0 + 1/10*y**5 - 1/30*y**4 + 0*y**3. Factor q(f).
-2*f**2*(2*f - 1)*(3*f - 1)/5
Let g(h) = -h**3 + 2*h**2. Suppose d - 4*d = 0. Suppose d = -0*y + y - 5. Let v(n) = -2*n**3 + 3*n**2. Let k(u) = y*g(u) - 3*v(u). Find x, given that k(x) = 0.
-1, 0
Suppose -5*a**3 + 20*a - 80/3*a**2 + 0 = 0. What is a?
-6, 0, 2/3
Let y(x) = -x**2 - x + 1. Let p(k) = -12*k**2 - 16*k + 10. Let h(d) = -p(d) + 10*y(d). Determine g, given that h(g) = 0.
-3, 0
Let q(h) be the third derivative of h**7/70 + h**6/20 - h**4/4 - h**3/2 + 14*h**2. Factor q(m).
3*(m - 1)*(m + 1)**3
Let v = 7/6 - 1/2. Let d(y) be the first derivative of -v*y**3 - 4*y - 3*y**2 + 4. Factor d(m).
-2*(m + 1)*(m + 2)
Let 2/3*h**4 - 2/3*h**2 + 0 - 2/15*h**3 + 2/15*h = 0. What is h?
-1, 0, 1/5, 1
Let n(c) be the first derivative of 14*c**3/3 - 2*c**2 + 14. Factor n(d).
2*d*(7*d - 2)
Let t(u) be the first derivative of u**2 + 4 + 2*u - 1/2*u**4 - 2/3*u**3. Find l such that t(l) = 0.
-1, 1
Suppose -9 + 11 = s. Let r(q) be the first derivative of -2/5*q**5 + 1/2*q - 1/4*q**s - 11/8*q**4 + 3 - 3/2*q**3. What is f in r(f) = 0?
-1, 1/4
Let f(y) be the third derivative of -y**8/294 + 11*y**7/735 - 3*y**6/140 + y**5/210 + y**4/84 - 10*y**2. Factor f(a).
-2*a*(a - 1)**3*(4*a + 1)/7
Let u(l) be the third derivative of l**6/720 - l**4/144 + 6*l**2. Factor u(g).
g*(g - 1)*(g + 1)/6
Suppose -2*k**5 + 6*k**4 + 7*k**5 - 3*k**3 - 8*k**5 = 0. What is k?
0, 1
Let m be 24/(-45)*(237/36 + -7). Factor -m*z**3 + 0 - 8/9*z - 8/9*z**2.
-2*z*(z + 2)**2/9
Suppose 0 = -n - 0*n - 5*k + 27, 4*k - 20 = 0. Let o(d) be the second derivative of 1/10*d**5 - n*d**2 - 2/3*d**4 + d + 0 + 5/3*d**3. Factor o(b).
2*(b - 2)*(b - 1)**2
Let i(t) = -4*t**3 + t + 1. Let o be i(-1). Factor -3*h**3 + 2*h - 17*h**2 + 15*h**3 - 28*h**o + 31*h**3.
-h*(h - 1)*(4*h - 1)*(7*h - 2)
Let a = -939 + 941. Suppose -1/3*s - s**a + 0 - 1/3*s**4 - s**3 = 0. What is s?
-1, 0
Suppose 0 - 3*r - 3/2*r**2 = 0. What is r?
-2, 0
Let t = -9 + 6. Let u be ((1 + t)/(-1))/2. Suppose -2*i**2 + 2*i - 1 + u = 0. Calculate i.
0, 1
Suppose -21*g + 18 = -15*g. Let l(s) be the second derivative of 0*s**2 + 0 - 1/66*s**4 - 1/33*s**g - 4*s. Determine c, given that l(c) = 0.
-1, 0
Let t(m) be the first derivative of 3/5*m**2 + 0*m + 1/5*m**3 + 2. Factor t(b).
3*b*(b + 2)/5
Let w be (-2)/(-5)*-1*-5. Let i(k) be the first derivative of 2/9*k**3 + 2 - k**w + 4/3*k. Factor i(c).
2*(c - 2)*(c - 1)/3
Let c(u) = u**3 + 5*u**2 - 8*u - 12. Let f be c(-6). Let l(w) be the second derivative of f*w**3 + 0 + 1/10*w**5 + 0*w**2 + 0*w**4 + w + 1/15*w**6. Factor l(p).
2*p**3*(p + 1)
Let z(u) = u**2 + 12*u + 10. Let s(i) = 15*i**2 + 192*i + 159. Let c(j) = -2*s(j) + 33*z(j). Factor c(n).
3*(n + 2)**2
Suppose 11*t = 10*t. Let n(w) be the third derivative of 1/120*w**5 - 2*w**2 + 0*w + 0 + t*w**3 + 0*w**4 + 1/240*w**6. Suppose n(a) = 0. Calculate a.
-1, 0
Let v be -1 + 8/(-6) + 3. Let c = -283 - -857/3. Factor 2/3 + 7/3*l - v*l**4 + c*l**2 - 1/3*l**5 + 2/3*l**3.
-(l - 2)*(l + 1)**4/3
Let w(q) be the third derivative of q**6/780 - q**4/52 + 2*q**3/39 + 5*q**2. Factor w(m).
2*(m - 1)**2*(m + 2)/13
Let p(o) be the first derivative of o**6/600 - o**4/120 - o**2/2 + 2. Let n(k) be the second derivative of p(k). Factor n(g).
g*(g - 1)*(g + 1)/5
Let o(p) = -p**2 + 2*p + 2. Let w be o(2). Factor 3*n**3 + 6*n**3 - 1 + 5*n - 7*n**w - 6*n**3.
(n - 1)**2*(3*n - 1)
Let o(a) = 4*a**3. Let f be o(-1). Let m be (-6)/(-4)*f/(-3). Find z, given that m*z - 2*z**2 - 1 + 3*z**2 + 2 = 0.
-1
Let w(j) be the third derivative of j**8/1176 + j**7/735 - j**6/84 - j**5/210 + 2*j**4/21 - 4*j**3/21 - 30*j**2. Suppose w(f) = 0. What is f?
-2, 1
Let l(u) = -5*u**2 - 6*u - 1. Let h(r) = 5*r**2 - 9*r - 7. Let c(j) = 3*j**2 - 5*j - 4. Let a(i) = 7*c(i) - 4*h(i). Let b(w) = 11*a(w) + 2*l(w). Factor b(p).
(p - 2)*(p + 1)
Let s(x) = 4*x**5 - 4*x**4 - 25*x**3 - x**2 + 27*x + 16. Let u(n) = -2*n**5 + 2*n**4 + 13*n**3 + n**2 - 13*n - 8. Let g(b) = 3*s(b) + 5*u(b). Factor g(h).
2*(h - 2)**2*(h + 1)**3
Let l = 429 + -2144/5. Determine s so that -3/5*s - 2/5 - l*s**2 = 0.
-2, -1
Let z = -15 - -10. Let u = -2 - z. Factor -d + d**2 - 3*d**2 - d**u + 0*d**2.
-d*(d + 1)**2
Let 2/3*w + 0 - 2/3*w**3 + 2/3*w**4 - 2/3*w**2 = 0. What is w?
-1, 0, 1
Let n(o) be the third derivative of 0 + 0*o**5 + 0*o - 1/480*o**6 + 0*o**3 + 1/96*o**4 - 3*o**2. Factor n(g).
-g*(g - 1)*(g + 1)/4
Let k be 1/(-21) - 19/(-57). Let y be 2*2/4 + -1. Factor 2/7*b**2 - k*b + y.
2*b*(b - 1)/7
Let g(z) be the second derivative of z**4/60 - z**3/5 + 27*z. Factor g(q).
q*(q - 6)/5
Let p(i) = i**3 - 4*i**2 + 2*i + 6. Let b be p(3). Determine o, given that 0*o**2 + 1/5*o - 1/5*o**b + 0 = 0.
-1, 0, 1
Let s(w) be the first derivative of 8*w**5/35 + w**4/14 + 10. Solve s(b) = 0 for b.
-1/4, 0
Let t = 6 + -5. Let w be 3 + 2 - 3*t. Factor -4/7 + 4/7*j**w + 2/7*j**3 - 2/7*j.
2*(j - 1)*(j + 1)*(j + 2)/7
Let t(v) = -4*v**5 - 16*v**4 - 26*v**3 - 14*v**2 + 6. Let a(s) = 4*s**5 + 16*s**4 + 25*s**3 + 13*s**2 - 5. Let r(l) = 6*a(l) + 5*t(l). Factor r(k).
4*k**2*(k + 1)**2*(k + 2)
Suppose 0*l - 6*l = -3*l. Find q, given that 7/5*q**3 + l - 8/5*q**2 + q**4 - 4/5*q = 0.
-2, -2/5, 0, 1
Let y(l) be the first derivative of -3*l**5/5 - 3*l**4/4 + 2*l**3 + 8. Factor y(h).
-3*h**2*(h - 1)*(h + 2)
Let d(o) = -5*o**2 + o + 2. Suppose 0*a = -a - 2. Let n be (-2 - a)/2 + -3. Let y(q) = -4*q**2 + q + 2. Let l(h) = n*d(h) + 4*y(h). Factor l(f).
-(f - 2)*(f + 1)
Suppose 0 = -5*f - 4 - 1. Let b be (-3)/f*4/3. Find c such that 2*c**2 + 8*c**3 + 3*c**4 - c**4 - b*c**3 = 0.
-1, 0
Suppose 0 = -o - 4, 0 = -3*z + 5*o + 15 + 14. Solve -9*x**5 + 3*x**2 + 0*x**2 - 18*x**4 - 3*x**z + 3*x**4 = 0.
-1, 0, 1/3
Suppose -3*b = 2*b - 50. Let n = b - 7. Let 5*x**2 - n*x**2 + x + x**3 + 0*x = 0. What is x?
-1, 0
Let x(k) be the third derivative of -1/60*k**5 + 3*k**2 + 0*k**4 + 0*k**3 + 0*k + 0. Factor x(d).
-d**2
Let q(y) = 3*y**3 - y**2 + y - 1. Let h be q(1). Suppose 3*x - 3*x + 2*x**3 + 24*x - h*x**2 + 14*x**2 + 16 = 0. What is x?
-2
Let g(o) be the third derivative of -o**7/525 + o**6/300 + o**5/75 + 9*o**2. Factor g(m).
-2*m**2*(m - 2)*(m + 1)/5
Let v(z) = -7*z**2 - 5*z + 7. Suppose -2*c - 3*c = 0. Suppose 0*n + 3*n + 9 = c. Let u(w) = 4*w**2 + 3*w - 4. Let o(m) = n*v(m) - 5*u(m). Factor o(t).
(t - 1)*(t + 1)
Let u = 854 + -852. Solve 2/5*z**u + 0 - 4/5*z = 0.
0, 2
Let h(k) = -2*k**3 + 6*k**2 - 8*k - 4. Let c(r) be the first derivative of -r**2/2 - r - 11. Let t be (1 + -1)*1 - -4. Let v(p) = t*c(p) - h(p). Factor v(q).
2*q*(q - 2)*(q - 1)
Let t = 186 + -371/2. Solve t*u**2 - 1 - 1/2*u = 0.
-1, 2
Let q be (-4)/63 + (-2)/(-7). Let r be ((-6)/(-81))/((-1)/(-3)). Determine f so that r*f**2 - q*f + 0 = 0.
0, 1
Suppose 1/3*k**3 + 2/3*k + k**2 + 0 = 0. Calculate k.
-2, -1, 0
Let h(v) be the second derivative of -v**8/840 + v**7/140 - v**6/180 - v**5/20 + v**4/6 - v**3/3 + v. Let t(l) be the second derivative of h(l). Solve t(r) = 0.
-1, 1, 2
Solve -6*g**4 + 10*g**3 + 2*g**2 - 7*g**2 + g**4 = 0.
0, 1
Factor 4/3*o**4 + 0*o**3 + 0*o - 8/3*o**2 + 4/3.
4*(o - 1)**2*(o + 1)**2/3
Suppose 3*t + 1 = -5*p, -5*t + 3*p + 25 = -2*p. Factor -6*k**3 - t*k**2 - 6*k - 11*k**2 - 2*k**4 - 4*k**3.
-2*k*(k + 1)**2*(k + 3)
Let w(l) = l**2 - 43*l + 222. Let k be w(37). Factor 4/7*m**4 - 2/7*m**3 + 0*m - 2/7*m**5 + k*m**2 + 0.
-2*m**3*(m - 1)**2/7
Let j(a) be the third derivative of a**7/105 + a**6/15 + a**5/10 - a**4/3 - 4*a**3/3 - 1