 -a*k + 20 = 3*j - 2*j, 5*k - 20 = -4*j. Suppose -4/7*g**2 + 10/7*g**3 + 0 - 8/7*g**4 + 2/7*g**5 + j*g = 0. Calculate g.
0, 1, 2
Factor -11*r**3 + 3*r - 3*r**2 - 3*r - 3*r**4 + 5*r**3.
-3*r**2*(r + 1)**2
Factor 0 - 1/8*c - 1/8*c**2 + 5/8*c**3 - 3/8*c**4.
-c*(c - 1)**2*(3*c + 1)/8
Let l(t) = 5*t**4 - 8*t**3 + 3*t**2 - 6*t + 6. Let h(v) = 10*v**4 - 15*v**3 + 5*v**2 - 11*v + 11. Let d(f) = -6*h(f) + 11*l(f). Factor d(r).
-r**2*(r - 1)*(5*r + 3)
Suppose 2*b + 2*g = -0 - 2, 5*b - 5*g - 35 = 0. Factor -x**4 - 4*x**3 - 1 + b*x**4 + 1.
2*x**3*(x - 2)
Let n be 0/((-3)/1 + 5). Factor 2/3*o**4 - 2/3*o + 2/3*o**3 - 2/3*o**2 + n.
2*o*(o - 1)*(o + 1)**2/3
Suppose -4*q - 2*w = w - 8, 0 = 2*q + 4*w - 4. Solve -10*z**3 + 6*z - 4*z**2 + q*z**3 + 0 + 2*z**5 + 4 = 0.
-1, 1, 2
Let t be (4 + -4)/((-4)/(-2)). What is r in 2/7*r**3 + 0 + t*r**2 + 0*r = 0?
0
Let l = -5 - -9. Suppose 9*i**3 - l + 6*i**2 + 4 = 0. Calculate i.
-2/3, 0
Let m(k) = -k**4 - k - 1. Let d(z) = -18*z**4 + 6*z**3 + 63*z**2 - 57*z + 15. Let a(r) = d(r) + 3*m(r). What is q in a(q) = 0?
-2, 2/7, 1
Let t(p) be the first derivative of p**3/12 + p**2/2 + 3*p/4 - 5. Factor t(g).
(g + 1)*(g + 3)/4
Let l(g) be the second derivative of g**6/600 - g**5/100 + g**4/40 - g**3/3 - g. Let z(w) be the second derivative of l(w). Find o such that z(o) = 0.
1
Let n(y) = -y**3 + 3*y + 1. Let z(u) = u - 4. Let j be z(2). Let s be n(j). Factor -2/9*w**s + 0*w**2 + 0 + 0*w.
-2*w**3/9
Let j(t) be the third derivative of 0 + 2/15*t**5 + 1/30*t**6 - t**2 - 4/3*t**3 - 1/6*t**4 + 0*t. What is u in j(u) = 0?
-2, -1, 1
Let p(i) be the second derivative of -1/84*i**7 - 1/24*i**4 + 0 + 0*i**2 + 1/40*i**5 - 5*i + 1/60*i**6 + 0*i**3. Factor p(r).
-r**2*(r - 1)**2*(r + 1)/2
Factor -4*x**5 - 14*x**4 - 49*x - 3*x + 12 + 61*x**2 + 42*x**4 + 27*x**2 - 72*x**3.
-4*(x - 3)*(x - 1)**4
Let r be (-3 - (-46)/14)*7. Let u(b) be the first derivative of 2 + 0*b + 1/5*b**r - 2/5*b**3. Factor u(n).
-2*n*(3*n - 1)/5
Suppose 0*w - 14 = -2*q - 5*w, 12 = 2*q + 4*w. Let o(x) be the first derivative of -2 - x**4 + 0*x + 2*x**q - 2*x**5 + 10/3*x**3. Factor o(p).
-2*p*(p - 1)*(p + 1)*(5*p + 2)
Suppose 4*v = 10*v - 12. Factor 1/2*w**4 + 3/2*w**3 + 3/2*w**v + 0 + 1/2*w.
w*(w + 1)**3/2
Let s(x) be the first derivative of 1/5*x**5 - 1/4*x**4 - 2*x + 7 + 5/2*x**2 - x**3. Factor s(f).
(f - 1)**3*(f + 2)
Let q(r) = -r**3 - 7*r**2 + 4. Let h be q(-7). Suppose 10 = l + h*l. What is z in -5*z + z + 6*z - l*z**2 = 0?
0, 1
Let j(w) be the third derivative of w**6/180 + w**5/45 - w**4/12 - 12*w**2. Factor j(r).
2*r*(r - 1)*(r + 3)/3
Suppose 2/13 + 4/13*k + 2/13*k**2 = 0. What is k?
-1
Suppose 1/4*w**4 + 2*w**3 - 27/4 + 9/2*w**2 + 0*w = 0. Calculate w.
-3, 1
Solve -6/5*x**2 + 3/5*x**4 + 0 + 0*x + 3/5*x**3 = 0.
-2, 0, 1
Suppose 20 = 8*p - 3*p. Let a(m) be the first derivative of 1/2*m**p + 1 + 2*m**3 + 3*m**2 + 2*m. Factor a(u).
2*(u + 1)**3
Suppose 5*s + 2 = 6*s. Suppose 3*k = s*u + u - 6, 8 = 4*u + k. Suppose -1/4*c**u + 0*c + 1/4 = 0. What is c?
-1, 1
Let f(s) be the first derivative of -1/5*s**4 + 2/25*s**5 + 0*s**2 - 1 + 0*s + 2/15*s**6 - 2/15*s**3. Suppose f(p) = 0. What is p?
-1, -1/2, 0, 1
Let q(v) be the second derivative of v**7/35 + 8*v**6/75 - v**4/3 - v**3/5 + 2*v**2/5 - 6*v. Let q(z) = 0. What is z?
-2, -1, 1/3, 1
Let a = -11696/5 + 2332. Let f = a - -149/20. Factor 3/4*o - 3/4*o**2 - f + 1/4*o**3.
(o - 1)**3/4
Suppose 2*j + 3*v + 6 = 0, 3*v + 8 = -j - v. Let s(n) be the third derivative of 1/48*n**4 + j*n**3 + 0 + 1/60*n**5 + 1/240*n**6 + 0*n - 2*n**2. Factor s(b).
b*(b + 1)**2/2
Let p(j) be the second derivative of 0 + 0*j**4 + 8*j - 1/2*j**3 + j**2 + 1/20*j**5. Suppose p(k) = 0. Calculate k.
-2, 1
Factor -4*k**2 + 68/3*k + 8.
-4*(k - 6)*(3*k + 1)/3
Let t be (-25)/(-15)*((-88)/(-40) + -1). Solve 0*p**t + 0*p - 1/4*p**4 + 0 + 1/2*p**3 = 0 for p.
0, 2
Let f be (0 + 3)*(-8)/(-6). Suppose -f = 4*a - 5*a. Factor 2/7*y**2 + 0 - 2/7*y**3 - 2/7*y**a + 2/7*y.
-2*y*(y - 1)*(y + 1)**2/7
Factor -1/5*p**3 + 1/5*p + 3/5*p**2 - 1/5*p**4 - 2/5.
-(p - 1)**2*(p + 1)*(p + 2)/5
Let z = 1 - -5. Let o be (180/(-125))/(z/(-40)). Factor -o*v**2 + 0*v + 3/5.
-3*(4*v - 1)*(4*v + 1)/5
Let y(m) be the first derivative of 0*m - 1/10*m**2 + 1 - 3/20*m**4 - 1/5*m**3 - 1/25*m**5. Factor y(a).
-a*(a + 1)**3/5
Let l be (18/30)/(1/5). Let x(z) be the first derivative of 0*z**2 + 1/9*z**l + 1/18*z**6 - 1/12*z**4 + 0*z - 1/15*z**5 - 2. Factor x(h).
h**2*(h - 1)**2*(h + 1)/3
Suppose 0 + 4/5*p + 12/5*p**5 + 48/5*p**3 - 8*p**4 - 24/5*p**2 = 0. Calculate p.
0, 1/3, 1
Factor 8 - 7*v**2 + 12*v**5 - 9*v**2 + 8*v**4 - 32*v**2 - 40*v**3 + 2*v - 6*v.
4*(v - 2)*(v + 1)**3*(3*v - 1)
Let s(i) be the first derivative of -1/3*i**2 + 0*i + 1/6*i**4 + 1 + 0*i**3. Factor s(k).
2*k*(k - 1)*(k + 1)/3
Let j(f) be the second derivative of -f**6/5 - f**5/5 + f**4/6 + 10*f. What is o in j(o) = 0?
-1, 0, 1/3
Let u = -143 - -147. Suppose 0*k + 0*k**2 - 2/3*k**3 + 2/3*k**u + 0 = 0. What is k?
0, 1
Let q(z) be the second derivative of z**8/13440 + z**7/1260 + z**6/360 - z**4/12 - 2*z. Let g(m) be the third derivative of q(m). Factor g(o).
o*(o + 2)**2/2
Let 0 + 0*x**2 + 2/13*x**4 + 0*x + 10/13*x**3 = 0. What is x?
-5, 0
Find i such that 2/3*i**5 + 12*i**3 + 26/3*i + 14/3*i**4 + 2 + 44/3*i**2 = 0.
-3, -1
Let s be 1/(4/82) + 1. Let a = s - 211/10. Factor 2/5*r**5 - 2/5*r**4 + a*r**2 + 0*r + 0 - 2/5*r**3.
2*r**2*(r - 1)**2*(r + 1)/5
Suppose 0*i + 6*i = 24. Solve 6 - 7 - 6*x**2 + 9 - 2*x**i + 8*x - 8*x**3 = 0.
-2, -1, 1
Let k = 5 + -9. Let v = 6 + k. Factor z**2 - 2*z + z**2 + 4*z - 3*z**v.
-z*(z - 2)
Let u = -98 - -103. Determine d, given that 2/9*d**u + 16/9*d**3 - 8/9*d**2 + 0*d - 10/9*d**4 + 0 = 0.
0, 1, 2
Let u(v) = -3*v**4 + 3*v + 8*v**3 - 2*v - 5*v - 2*v**2 - 4*v. Let l(w) = -6*w**4 + 15*w**3 - 3*w**2 - 15*w. Let c(q) = -5*l(q) + 9*u(q). Factor c(t).
3*t*(t - 1)**2*(t + 1)
Let f = -959491 + 2081136455/2169. Let y = f + 2/723. Factor 4/9 - 2/9*c - y*c**2.
-2*(c - 1)*(c + 2)/9
Let o be 1 + 3 + (-78)/21. Let m = o + 3/14. Factor -m - 1/2*g**2 - g.
-(g + 1)**2/2
Let m be 2/3*36/8. Let w**3 - 2*w**m - w**2 + 2*w + 1 - 1 = 0. What is w?
-2, 0, 1
Let j = -45 + 47. Factor 0 + b**j - 2/3*b.
b*(3*b - 2)/3
Let 64*x**2 + 57*x**2 - 86*x**2 - 5*x**3 = 0. Calculate x.
0, 7
Let t(d) = 4*d**3 - d + 1. Let o = 4 - 3. Let q be t(o). Solve 2*x + 0*x**2 - 2*x**3 + 2*x**2 + 0*x**2 - 2*x**q = 0 for x.
-1, 0, 1
Let l(x) be the third derivative of x**5/16 + 3*x**4/32 - x**3/4 - 22*x**2. Let l(a) = 0. What is a?
-1, 2/5
Let b = 5 - 1. Find a such that 3 - 4 - 8*a + 2*a**2 + 8*a**2 - b*a**3 + 3 = 0.
1/2, 1
Factor 18/11*q - 10/11*q**2 - 8/11.
-2*(q - 1)*(5*q - 4)/11
Let n(d) = -3*d**4 + 9*d**3 + 3*d**2 - 15*d - 12. Let b(y) = y**4 + y + 1. Let z(q) = -6*b(q) - n(q). Let z(o) = 0. Calculate o.
-2, -1, 1
Suppose -2*h - 3 = -7. Suppose 0 = 2*j + x - 9, h*j - x + 0 = -1. Factor j*l - 2*l + 2*l**5 - 2*l**4 - 3*l**5 + 2*l**2 + l.
-l*(l - 1)*(l + 1)**3
Let b(g) be the third derivative of 0*g**4 + 0 + 0*g**3 - 1/240*g**6 + 9*g**2 - 1/420*g**7 + 0*g + 1/120*g**5 + 1/672*g**8. Factor b(p).
p**2*(p - 1)**2*(p + 1)/2
Let i(m) be the third derivative of -2*m**3 + 0 - m**2 + 1/2*m**4 - 1/20*m**5 + 0*m. Factor i(s).
-3*(s - 2)**2
Let p(r) be the third derivative of 0 + 1/120*r**6 + 0*r**3 - 3*r**2 - 1/24*r**4 + 0*r**5 + 0*r. Let p(q) = 0. What is q?
-1, 0, 1
Factor -6*s**4 + 9*s**3 + 3*s - 5*s**2 + 3*s**4 - 5*s**2 + s**2.
-3*s*(s - 1)**3
Let p(c) be the first derivative of 20*c**3/3 - 36*c**2 - 32*c - 13. Factor p(h).
4*(h - 4)*(5*h + 2)
Let d(c) be the first derivative of c**6/900 - c**5/300 - c**4/30 - 8*c**3/3 + 6. Let i(q) be the third derivative of d(q). Find h such that i(h) = 0.
-1, 2
Suppose -4*f - 5*h = -18, f - h - 10 = -5*h. Factor 6*m**f + 21/2*m - 3.
3*(m + 2)*(4*m - 1)/2
Let h(k) be the first derivative of 1/6*k**4 - 3/2*k**2 - 1/3*k**3 - 4 + 0*k - 1/30*k**5. Let s(l) be the second derivative of h(l). Factor s(a).
-2*(a - 1)**2
Let r(u) be the third derivative of u**6/180 + u**5/30 + u**4/12 + u**3/2 - 8*u**2. Let y(j) be the first derivative of r(j). Factor y(l).
2*(l + 1)**2
Let a(v) be the third derivative of v**5/180 - 5*v**4/72 + 2*v**3/9 + 2*v**2. Solve a(s) = 0 for s.
1, 4
Let j(p) be the second derivative of p**5/70 - p**3/7 + 2