4 = 0. What is x?
-2/3, 0, 2
Let t(b) = -b**2 - b + 1. Let j(q) = 10*q**2 + 6*q - 10. Let z(c) = j(c) + 6*t(c). Factor z(d).
4*(d - 1)*(d + 1)
Factor -4*z**2 - 4/5*z**3 + 0*z + 0.
-4*z**2*(z + 5)/5
Let d(v) be the first derivative of 4*v + v**2 - 3 - 1/2*v**4 - 4/3*v**3. Factor d(k).
-2*(k - 1)*(k + 1)*(k + 2)
Let y = 53 - 35. Let u be 4/y - (-68)/18. Solve l**3 - 2*l**3 - l**u + 3*l**2 - l**2 = 0.
-2, 0, 1
Let k be (-1)/(-4) + 14/8. Factor -k - 8*t**3 - 8*t - 12*t**2 - 6*t**4 + 0*t**3 + 4*t**4.
-2*(t + 1)**4
Suppose -3*o + 3 + 3 = 0. Let j = o + 0. Factor 2*w**j - w + 0*w**2 - 3*w**2.
-w*(w + 1)
Let r(t) = -t**2 - 8*t - 5. Let d be r(-7). Suppose -4 = -d*o + 2. Factor -21/2*g**2 + 0 + 3*g + 15/2*g**o.
3*g*(g - 1)*(5*g - 2)/2
Determine o, given that 0 + 0*o**3 - 2/7*o**2 + 2/7*o**4 - 1/7*o**5 + 1/7*o = 0.
-1, 0, 1
Let l(u) be the first derivative of 0*u - u**2 - 1/60*u**6 + 0*u**3 + 2 + 1/12*u**4 + 0*u**5. Let j(o) be the second derivative of l(o). What is w in j(w) = 0?
-1, 0, 1
Let c be 2/(-9) + 22/18. Suppose -c = -a + 1. What is z in z**a + 3 - 3 + 2*z = 0?
-2, 0
Let p = 1/6 + 1/2. Suppose 0*y - 4*y**4 + 0 - 7/3*y**5 - y**3 + p*y**2 = 0. Calculate y.
-1, 0, 2/7
Let x = 11/18 + -1/9. Determine n so that 2*n + 2*n**5 - x*n**4 - 1/2 - 4*n**3 + n**2 = 0.
-1, 1/4, 1
Let w(x) be the third derivative of -x**5/12 - 5*x**4/8 + 16*x**2. Solve w(n) = 0 for n.
-3, 0
Let f(w) = w**3 - 6*w**2 + 5*w + 3. Let q be 46/10 - 2/(-5). Let c be f(q). Factor 5*r**4 - c*r**2 - 3*r**4 + 5*r**2 + 4*r**3.
2*r**2*(r + 1)**2
Let x(m) = m**3 + 7*m**2 - m. Let y be x(-7). Let w = y - 5. Factor q**w - q + 9*q**3 + 5*q + 8*q**2 + 3*q**4 - q.
3*q*(q + 1)**3
Let f(b) be the second derivative of b**5/30 + b**4/18 - 10*b**3/9 + 8*b**2/3 + b + 28. Solve f(z) = 0 for z.
-4, 1, 2
Let m = -18 - -20. Let x(r) be the first derivative of -1/8*r**m + 3 + 1/12*r**3 + 0*r. Solve x(a) = 0 for a.
0, 1
Let p(x) = 9*x**3 + 3*x**2 - 18*x - 18. Let q(c) = -19*c**3 - 6*c**2 + 37*c + 37. Let m(t) = -13*p(t) - 6*q(t). Factor m(w).
-3*(w - 2)*(w + 1)*(w + 2)
Let j(q) be the third derivative of 1/20*q**6 - 1/30*q**5 + 0*q + 1/168*q**8 + 0*q**4 + 0*q**3 + 3*q**2 + 0 - 1/35*q**7. Find g, given that j(g) = 0.
0, 1
Let t(x) be the first derivative of -13/2*x**4 + 8*x**3 - 1/3*x**6 + 1 + 0*x - 4*x**2 + 12/5*x**5. Factor t(y).
-2*y*(y - 2)**2*(y - 1)**2
Let f(v) be the third derivative of -v**9/3780 + v**8/4200 + v**7/2100 + v**3/3 - 2*v**2. Let g(o) be the first derivative of f(o). Find q such that g(q) = 0.
-1/2, 0, 1
Suppose 4*r + 2 = -0*l - 2*l, 2*l + r = -11. Let t = l + 9. Factor -q - 4*q**2 + 2*q**2 + q**t.
-q*(q + 1)
Let q = 0 - -2. Suppose -2*o + o**3 + 2*o**q - 4*o**3 + 2*o = 0. Calculate o.
0, 2/3
Let p(w) be the third derivative of -7*w**8/408 + 2*w**7/51 + 13*w**6/255 + 4*w**5/255 - 44*w**2. Find m such that p(m) = 0.
-2/7, 0, 2
Let l(r) be the first derivative of -4/5*r**3 + 3/2*r**2 - 3/5*r - 2. Factor l(k).
-3*(k - 1)*(4*k - 1)/5
Let u(a) be the second derivative of a**4/72 - a**3/6 + 5*a**2/12 - 3*a. Solve u(v) = 0.
1, 5
Let i(l) be the first derivative of 3*l**2 + 6 - 9*l - 1/3*l**3. Solve i(z) = 0 for z.
3
Let i be 3 + (0 - (-106)/(-36)). Let a(t) be the third derivative of -1/90*t**6 - 1/630*t**7 - 1/30*t**5 + 0 - 1/18*t**3 + 2*t**2 + 0*t - i*t**4. Factor a(n).
-(n + 1)**4/3
Suppose 0 = m - 3*f - 11, -3*m - 8 = -m + 4*f. Factor 0 - 1/5*p**3 - 1/5*p**m + 0*p.
-p**2*(p + 1)/5
Let z(l) be the first derivative of 3*l**5/10 - 15*l**4/8 - l**3/2 + 15*l**2/4 + 15. Let z(h) = 0. What is h?
-1, 0, 1, 5
Suppose -6*u = -2*u - 20. Let z = u + -1. Factor h**5 + 6*h**2 - h**4 - h**4 - z*h**2 - h.
h*(h - 1)**3*(h + 1)
Let -2*q**3 + 0 - 8*q**4 + 1 + 7*q**4 + 4*q + 3*q**2 - 5 = 0. Calculate q.
-2, 1
Let f(i) be the first derivative of -i**4/28 - i**3/7 - i**2/7 + 35. Factor f(g).
-g*(g + 1)*(g + 2)/7
Let k(l) = -l**3 + 7*l**2 + 9*l - 4. Let c be k(8). Let d(v) be the second derivative of 2*v + 0 + 0*v**2 + 1/42*v**c - 1/21*v**3. Find i such that d(i) = 0.
0, 1
Factor 0 + 0*v - 1/3*v**2 + 0*v**3 + 1/3*v**4.
v**2*(v - 1)*(v + 1)/3
Determine o so that -1/3*o**2 - 4/3 - 5/3*o = 0.
-4, -1
Let b(h) be the second derivative of h + 2/5*h**3 + 0 + 1/20*h**4 + 6/5*h**2. Factor b(m).
3*(m + 2)**2/5
Let r(l) be the second derivative of -9/10*l**5 + 0 - 6*l**3 - 13/4*l**4 - 6*l**2 + 7*l - 1/10*l**6. Suppose r(d) = 0. What is d?
-2, -1
Let o(q) be the third derivative of q**6/200 - q**5/25 + 3*q**4/40 - 7*q**2. Suppose o(n) = 0. Calculate n.
0, 1, 3
Let -4/11 + 2/11*p - 2/11*p**4 - 2/11*p**3 + 6/11*p**2 = 0. What is p?
-2, -1, 1
Let l(a) = -a**2 + 9*a + 2. Let c be l(9). Suppose 0 = -2*q - 4*r - 8 - 4, 0 = -4*q + c*r + 16. Find n such that -1 - 2 - 2*n**3 + 2*n**2 - 3 + 4 + q*n = 0.
-1, 1
Let y(h) be the first derivative of 1/2*h**4 - h**2 - 5 + 2/3*h**3 - 2*h. Factor y(w).
2*(w - 1)*(w + 1)**2
Let l(t) be the third derivative of t**6/180 - t**5/15 + t**4/4 - 7*t**2. Solve l(h) = 0.
0, 3
Suppose 0 = 2*k + 55 - 9. Let i = -23 - k. Determine h so that -1/4*h**3 + i*h**2 + 0 + 1/4*h = 0.
-1, 0, 1
Let j(c) = c**3 - c**2 - 1. Let d(a) = 10*a**3 - 30*a**2 + 24*a + 2. Let r(g) = -d(g) - 6*j(g). What is f in r(f) = 0?
1/4, 1
Let x(k) be the first derivative of 9*k**5/10 - 17*k**4/4 + 37*k**3/6 - 2*k**2 - 2*k - 16. Solve x(d) = 0 for d.
-2/9, 1, 2
Factor 3/8*i**3 + 3/8 - 3/8*i - 3/8*i**2.
3*(i - 1)**2*(i + 1)/8
Factor -5*j**4 - 21*j**2 + 0*j**5 + 9*j**3 - 3*j**3 + 23*j**2 + j**5 - 7*j + 3.
(j - 3)*(j - 1)**3*(j + 1)
Factor 0 - 6/7*a**2 + 1/7*a**3 + 5/7*a.
a*(a - 5)*(a - 1)/7
Suppose 2*r = -4*s + 20, 5*r - 2 = -s + 3. Let t be (-38)/(-84) - s/30. Find y such that 0*y + 0*y**4 + t*y**3 + 0 + 0*y**2 - 2/7*y**5 = 0.
-1, 0, 1
Let f = 21 + -21. Factor f*g - 2/5*g**4 + 2/5*g**3 - 2/5*g**5 + 2/5*g**2 + 0.
-2*g**2*(g - 1)*(g + 1)**2/5
Let o(i) = i. Let c(u) = -u**3 - 2*u**2 - 6*u + 2. Let s(z) = -2*c(z) - 14*o(z). Factor s(v).
2*(v - 1)*(v + 1)*(v + 2)
Let q be (2/20)/(2/(-5 + 9)). Find t such that q*t**4 + 0*t - 2/5*t**3 + 1/5*t**2 + 0 = 0.
0, 1
Let n(p) be the second derivative of -p**4/48 + 5*p. Factor n(t).
-t**2/4
Let o = -509 + 1529/3. Determine c, given that c**2 - 1/3*c**3 - o*c + 0 = 0.
0, 1, 2
Let r be (-3 - (-1 + -6)) + -10. Let f = r - -6. What is s in 0*s**2 + 0*s**3 + 1/3*s**4 + 1/3*s**5 + f + 0*s = 0?
-1, 0
Let q be (-1)/(-9) - 35/(-15). Let h = q - 101/45. Find z, given that -1/5*z**3 + 0*z**2 + h*z + 0 = 0.
-1, 0, 1
Let z be (-2 + (1 - -7))/(99/66). Let g(r) be the third derivative of 0 + 1/30*r**5 + z*r**2 - 1/12*r**4 + 0*r - 2/3*r**3. Factor g(c).
2*(c - 2)*(c + 1)
Let 0*m**2 + 0*m + 2/17*m**3 - 8/17*m**4 + 0 = 0. What is m?
0, 1/4
Let j(n) = -65*n**2 + 300*n - 260. Let y(l) = 5*l**2 - 23*l + 20. Let q(u) = -3*j(u) - 40*y(u). Factor q(f).
-5*(f - 2)**2
Let z = 12 - 25. Let c(q) = 0*q**2 - 7*q**3 - q**2 + 0*q**2 + 0*q**3. Let f(r) = 15*r**3 + 2*r**2. Let d(n) = z*c(n) - 6*f(n). What is p in d(p) = 0?
-1, 0
Let q(k) be the second derivative of -2*k**7/21 - 11*k**6/30 - 9*k**5/20 - k**4/12 + k**3/6 - k. Factor q(l).
-l*(l + 1)**3*(4*l - 1)
Suppose 5*m = -4*g - 15, -m + 2 = 3*g + 5. Determine c so that 0*c - 1/2*c**2 + 1/2*c**3 + g = 0.
0, 1
Factor -4/7*r**5 - 4/7*r + 0*r**2 + 0 + 0*r**4 + 8/7*r**3.
-4*r*(r - 1)**2*(r + 1)**2/7
Let u(w) be the third derivative of 0 + 1/240*w**5 + 0*w + 1/48*w**4 - 3*w**2 + 1/24*w**3. Factor u(a).
(a + 1)**2/4
Factor -2/7*r**4 + 0 + 2/7*r**2 + 2/7*r - 2/7*r**3.
-2*r*(r - 1)*(r + 1)**2/7
Let c(b) = -b**2 - 10*b. Let s be c(-9). Let w(o) be the first derivative of -8/3*o**6 - o**2 - s*o**4 + 8*o**5 + 0*o - 1 + 14/3*o**3. Factor w(m).
-2*m*(m - 1)*(2*m - 1)**3
Suppose 4*s + 9 = -3*a, -6 = 3*s + a + a. Let f(v) be the third derivative of -1/24*v**4 + s*v**3 - 1/60*v**5 + 2*v**2 + 0*v + 0. Factor f(d).
-d*(d + 1)
Let p(x) = 4*x**4 - 4*x**3 + 5*x + 5. Let u(g) = -g**3 - 7 + 7*g**3 + 5*g**4 - 1 - 11*g**4 - 8*g. Let y(a) = 8*p(a) + 5*u(a). Factor y(s).
2*s**3*(s - 1)
Let z(g) be the third derivative of -g**8/784 + g**7/245 - g**5/70 + g**4/56 - 7*g**2. Factor z(l).
-3*l*(l - 1)**3*(l + 1)/7
Let g(a) be the second derivative of 0*a**2 - 17/18*a**4 + 2/9*a**3 - 2*a - 35/36*a**6 + 0 + 31/20*a**5 + 7/36*a**7. Suppose g(h) = 0. Calculate h.
0, 2/7, 1, 2
Let b(x) be the second derivative of 4