1/4*x**6 - 1/2*x**3 + 3/10*x**5 + 9/8*x**4 + 0*x + 3. Solve f(u) = 0.
-1, 0, 1, 2
Factor 4/7*p**3 + 0*p**2 - 4/7*p + 2/7 - 2/7*p**4.
-2*(p - 1)**3*(p + 1)/7
Let h = 1/19 - -35/57. Let p = -83 - -85. Factor h*q**p + 0*q + 0.
2*q**2/3
Suppose 5*z = -s + 15, 0 = -z - s - 3*s + 22. Let y = -130 + 394/3. Factor -4/3*v + y + 1/3*v**z.
(v - 2)**2/3
Let o(b) be the first derivative of -2*b**3/39 + b**2/13 + 4*b/13 - 4. Factor o(j).
-2*(j - 2)*(j + 1)/13
Let t(x) be the third derivative of x**7/630 - x**6/90 - x**5/180 + x**4/18 + 17*x**2. Factor t(b).
b*(b - 4)*(b - 1)*(b + 1)/3
Suppose 2*j = -10, t + 4*j + 20 - 4 = 0. Find l, given that 2/5*l**3 + 2/5*l**t - 2/5*l + 0 - 2/5*l**2 = 0.
-1, 0, 1
Let v(o) = o**2 + 3*o - 7. Let d be v(-5). Factor -b - 4*b**2 - d*b - 2*b - 3*b - 2.
-(b + 2)*(4*b + 1)
Let b(o) be the third derivative of -o**9/12096 + o**8/6720 - o**3/3 + o**2. Let f(a) be the first derivative of b(a). Factor f(g).
-g**4*(g - 1)/4
Let l(n) be the second derivative of -n**7/126 + n**5/30 - n**3/18 + 2*n. Let l(p) = 0. What is p?
-1, 0, 1
Let l(f) be the third derivative of 0*f - 1/60*f**5 + 0 - 1/12*f**4 + 0*f**3 - 2*f**2. Factor l(w).
-w*(w + 2)
Let w(l) be the first derivative of l**6/2 - 12*l**5/5 + 9*l**4/4 + 4*l**3 - 6*l**2 - 15. What is q in w(q) = 0?
-1, 0, 1, 2
Suppose -7*b = -2*b - 20. Let a(i) be the third derivative of 3*i**2 + 0*i**3 + 0 - 1/30*i**b + 0*i - 1/150*i**5 + 1/300*i**6. Factor a(g).
2*g*(g - 2)*(g + 1)/5
Find u such that 14/5*u**2 - 2/5*u**5 - 8/5 + 2/5*u**3 + 0*u - 6/5*u**4 = 0.
-2, -1, 1
Let a = -1095 + 5479/5. Find p such that 0 - 2/5*p**2 + a*p = 0.
0, 2
Let q(c) be the first derivative of c**6/27 - c**4/9 + c**2/9 - 2. Determine d, given that q(d) = 0.
-1, 0, 1
Let h = 536 - 533. Factor 0 + 2/15*p**2 + 0*p + 2/15*p**4 + 4/15*p**h.
2*p**2*(p + 1)**2/15
Let q = 22 - 20. Factor 2*h - 4/5 - 6/5*h**q.
-2*(h - 1)*(3*h - 2)/5
Suppose 107 = 6*z - z + 2*g, -4*g = -4. Let h(v) = v**2 - 3*v + 2. Let i(p) = -3*p**2 + 10*p - 7. Let w(l) = z*h(l) + 6*i(l). Factor w(y).
3*y*(y - 1)
Let z(d) be the third derivative of -1/12*d**4 + 0*d**3 - 1/105*d**7 - 4*d**2 + 0 + 0*d + 1/60*d**6 + 1/30*d**5. Factor z(x).
-2*x*(x - 1)**2*(x + 1)
Let h = -243/4 + 61. Suppose 0 + 3/4*i**3 + 0*i + h*i**2 - i**4 = 0. Calculate i.
-1/4, 0, 1
Let p(o) = o**3 - 7*o**2 - o + 8. Let g be p(7). Factor -g - 1/4*q**2 + q.
-(q - 2)**2/4
Let l(b) be the first derivative of -b**5/5 + b**4/4 + b**3/3 - b**2/2 - 23. Factor l(r).
-r*(r - 1)**2*(r + 1)
Let j(c) be the third derivative of -7*c**6/32 + 81*c**5/80 + 17*c**4/8 + 3*c**3/2 + 15*c**2. Let j(s) = 0. What is s?
-2/5, -2/7, 3
Determine z, given that 0*z**2 - 4/7*z + 12/7*z**3 + 0 + 8/7*z**4 = 0.
-1, 0, 1/2
Let j(l) be the second derivative of -l**5/50 + l**3/15 + l. Factor j(t).
-2*t*(t - 1)*(t + 1)/5
Suppose -4*g + 1 = -4*s + 5, 4*g + 4 = s. Factor 4/3*z**2 - 1/3*z + s - 1/3*z**5 - 2*z**3 + 4/3*z**4.
-z*(z - 1)**4/3
Factor 2/5*w**3 - 1/5*w**5 + 0 + 0*w**2 - 1/5*w + 0*w**4.
-w*(w - 1)**2*(w + 1)**2/5
Let y(b) be the first derivative of 2*b**4/7 + 52*b**3/21 + 48*b**2/7 + 36*b/7 + 35. Let y(r) = 0. Calculate r.
-3, -1/2
Let w(z) be the second derivative of 0*z**2 + 5/9*z**4 + 2/3*z**3 + 0 + 1/15*z**5 - 2/45*z**6 - 7*z. Suppose w(t) = 0. Calculate t.
-1, 0, 3
Let i(r) = r**2 - 9*r + 4. Suppose 5*q - 23 = 22. Let v be i(q). Factor -1/4*t**3 + 1/4*t + 1/4*t**2 + 0 - 1/4*t**v.
-t*(t - 1)*(t + 1)**2/4
Let x(s) be the second derivative of s**6/80 - 3*s**4/16 + s**3/2 + s**2/2 - 2*s. Let c(n) be the first derivative of x(n). Factor c(i).
3*(i - 1)**2*(i + 2)/2
Suppose -6 = 4*n - 5*q - 1, 0 = -3*n - q + 1. Let r be (n + (-2 - 0))/(-1). Factor -2*b**2 + b**4 + 2*b**2 + b**2 + r*b**3.
b**2*(b + 1)**2
Let a(m) be the second derivative of m**6/40 + 3*m**5/40 - m**4/4 - m**3/4 + 9*m**2/8 + 3*m. Factor a(s).
3*(s - 1)**2*(s + 1)*(s + 3)/4
Let x = -4615 - -1035. Let b = x - -25140/7. What is l in 78/7*l**4 - 96/7*l - 32/7 - 48/7*l**2 + b*l**3 + 18/7*l**5 = 0?
-2, -2/3, 1
Let j = -38 - -77/2. Factor 11/2*q**4 + 0 - 9/2*q**3 + 1/2*q - 2*q**5 + j*q**2.
-q*(q - 1)**3*(4*q + 1)/2
Let n(l) be the third derivative of -l**7/70 + l**6/20 - l**4/4 + l**3/2 + 3*l**2. What is b in n(b) = 0?
-1, 1
Let x(m) be the second derivative of 1/90*m**5 + 0 + 4*m - 1/54*m**4 + 0*m**3 + 0*m**2. Determine v, given that x(v) = 0.
0, 1
Let p = 39 - 21. Let r be ((-1)/p)/((-3)/12). Find y, given that 10/3*y**4 - 4/9*y**3 + 2*y**5 - 14/9*y - 28/9*y**2 - r = 0.
-1, -1/3, 1
Find p, given that 6*p**2 - p**2 - 2*p**3 + 4*p - 3*p**2 = 0.
-1, 0, 2
Let s(i) be the first derivative of 9*i**4 + 16*i**3 - 22*i**2 + 8*i - 11. Determine a so that s(a) = 0.
-2, 1/3
Let f(i) = i**3 + 3*i**2 - i - 3. Let b(g) = g + 1. Let t(c) = 4*b(c) + f(c). Determine v, given that t(v) = 0.
-1
Factor -3*p**2 - 18*p + 3 + 18*p.
-3*(p - 1)*(p + 1)
Let j(m) = -m + 14. Let a be j(10). Suppose -t**4 + t**2 - 2*t**4 - 2*t**4 + 4*t**a = 0. Calculate t.
-1, 0, 1
Let j be (-2)/(-5) + 378/(-70). Let h be (1/j)/((-24)/60). Let -1/2*x + h*x**3 - x**2 + 1 = 0. Calculate x.
-1, 1, 2
Let k(f) be the second derivative of -f**4/6 - f**3/3 - f - 4. Factor k(o).
-2*o*(o + 1)
Let o(n) be the second derivative of -n**6/45 + n**5/15 - 2*n**3/9 + n**2/3 + 13*n. Factor o(i).
-2*(i - 1)**3*(i + 1)/3
Let u(w) be the first derivative of -w**5 + 15*w**4/2 - 5*w**3/3 - 60*w**2 - 80*w - 1. Factor u(f).
-5*(f - 4)**2*(f + 1)**2
Suppose 23 = 7*k - 2*k - 2*v, 3*k - 2*v = 17. Suppose -k*a - 5*m = 2*a - 5, a = 4*m + 16. Factor -3*x**3 + 9/2*x**2 + 3/4*x**a - 3*x + 3/4.
3*(x - 1)**4/4
Let y(g) be the second derivative of -g**7/840 + g**6/480 + g**5/80 - g**4/96 - g**3/12 - 3*g**2/2 + 4*g. Let j(c) be the first derivative of y(c). Factor j(m).
-(m - 2)*(m - 1)*(m + 1)**2/4
Suppose 0 = 3*q + 5*d + 6, -d = -q + 2*q + 2. Let w be -4*(-8)/12 + q. Determine z so that 0 + w*z**2 + 2/3*z - 2/3*z**4 - 2/3*z**3 = 0.
-1, 0, 1
Let j(n) be the third derivative of 0 + 1/72*n**4 + 0*n + 1/90*n**5 - 3*n**2 + 0*n**3. Let j(r) = 0. What is r?
-1/2, 0
Let w(q) be the first derivative of -q**4/66 + q**3/33 + 2*q**2/11 - q + 6. Let s(u) be the first derivative of w(u). Factor s(f).
-2*(f - 2)*(f + 1)/11
Let q(n) be the third derivative of -n**7/105 + n**6/20 - n**5/10 + n**4/12 - 4*n**2. Solve q(a) = 0 for a.
0, 1
Let b = -2053/3 + 685. Solve -b*d**2 + 2/3*d + 0 = 0.
0, 1
Let -195*x - 15*x**4 - 19 + 209*x**2 + 59 + 46*x**2 - 85*x**3 = 0. What is x?
-8, 1/3, 1
Factor 3/2*o**2 - 3/4 - 3/4*o**4 + 0*o**3 + 0*o.
-3*(o - 1)**2*(o + 1)**2/4
Let y(t) be the third derivative of -t**9/45360 + t**7/7560 + t**4/12 + 4*t**2. Let c(d) be the second derivative of y(d). Suppose c(j) = 0. Calculate j.
-1, 0, 1
Factor 34 + 24*g - 4*g**2 - 2*g**2 + 2*g**2 - 6.
-4*(g - 7)*(g + 1)
Let u(y) be the third derivative of -y**5/210 - 5*y**4/84 - 4*y**3/21 - 38*y**2. Suppose u(r) = 0. What is r?
-4, -1
Let l(i) be the second derivative of -i**5/60 + i**4/24 + i**2/2 - i. Let h(g) be the first derivative of l(g). Determine x so that h(x) = 0.
0, 1
Factor -1/8*h**2 - 1/2*h**3 + 0 + 1/2*h + 1/8*h**4.
h*(h - 4)*(h - 1)*(h + 1)/8
Factor 0 - 1/5*j + 4/5*j**3 - 3/5*j**2.
j*(j - 1)*(4*j + 1)/5
Let u(k) be the second derivative of -k**4/60 - k**3/30 + k**2/5 - 13*k. Factor u(t).
-(t - 1)*(t + 2)/5
Let j(l) be the third derivative of -l**8/168 + l**7/35 - l**6/30 + 11*l**2. Suppose j(n) = 0. Calculate n.
0, 1, 2
Let v = 59/2 + -29. Let p = 19/26 + -3/13. Determine y so that v*y**2 - p*y + 0 = 0.
0, 1
Let b be ((-376)/54 - -7)/((-2)/(-12)). Determine k so that 2/9*k**2 + b*k + 0 = 0.
-1, 0
Let l(c) be the first derivative of -2*c**5/25 - c**4/5 + 2*c**3/15 + 2*c**2/5 + 18. Factor l(r).
-2*r*(r - 1)*(r + 1)*(r + 2)/5
Suppose 8*h - 18 = 5*h. Let o(p) be the third derivative of 0*p + 0*p**4 + 4/9*p**3 + 0 - 1/30*p**5 - 3*p**2 - 1/180*p**h. Solve o(l) = 0 for l.
-2, 1
Let j(n) = -n**3 - 2. Suppose 2*o = -3*o + 15. Let s(h) = 3*h**3 + 2*h**3 + 7 - 2*h**o. Let l(b) = 14*j(b) + 4*s(b). Factor l(i).
-2*i**3
Let a(x) be the first derivative of 2*x**3/21 - x**2/7 - 9. Factor a(d).
2*d*(d - 1)/7
Suppose h = 5*j - 43, 0 = -j - 6*h + 4*h + 2. Factor -4*x**2 + 12*x**2 + 12*x**3 - 41*x + 13*x + j.
4*(x - 1)*(x + 2)*(3*x - 1)
Let d be 3 - (-513)/(-140) - 4/(-6). Let g(z) be the third 