-(c - 1)**2/3
Let a(y) = -2*y**4 + 13*y**3 - 19*y**2 - 3*y + 16. Let i(p) = -4*p**4 + 20*p**3 - 28*p**2 - 4*p + 24. Let v(h) = -8*a(h) + 5*i(h). Factor v(n).
-4*(n - 1)**2*(n + 1)*(n + 2)
Suppose 85*k = -7*k. Factor 0*i + 1/7*i**3 + 3/7*i**2 + k.
i**2*(i + 3)/7
Let t = 368/7 + -1812/35. Factor 0 - 6/5*q**2 - 2/5*q**3 - t*q.
-2*q*(q + 1)*(q + 2)/5
Let t = 150 + 79. Let v = t + -686/3. Factor -f**4 - 2/3*f + 0 + v*f**2 + 4/3*f**3.
-f*(f - 1)**2*(3*f + 2)/3
Let c(j) = 84*j - 754. Let u be c(9). Find o such that -2/5*o**u + 0*o + 2/5 = 0.
-1, 1
Let o = -8/31 - -150/341. Factor 2/11*t**2 + 0 + o*t**4 + 4/11*t**3 + 0*t.
2*t**2*(t + 1)**2/11
Factor -9*x + 60*x**3 - 2*x**4 - 10*x**2 - 52*x**3 - 3*x + 8*x**2 + 0*x**4.
-2*x*(x - 3)*(x - 2)*(x + 1)
Let d(r) be the second derivative of -r**6/105 - 4*r**5/35 - 5*r**4/14 + 4*r**3/21 + 20*r**2/7 - 998*r. What is z in d(z) = 0?
-5, -2, 1
Let a be 1206 + -1212 + -1 + 73/5 + -2. Factor -6*b**2 + a*b - 6/5.
-2*(3*b - 1)*(5*b - 3)/5
Let v(d) = -7*d**2 + d + 6. Let p(y) = -y**2 - 13*y + 2. Let i be p(-13). Let l be i/(-4) + 9/6. Let t(a) = a**2 - 1. Let o(m) = l*v(m) + 6*t(m). Factor o(r).
-r*(r - 1)
Let i(t) be the second derivative of -5*t + 0 - 1/3*t**3 + 1/12*t**4 + 0*t**2. Factor i(y).
y*(y - 2)
Let d = -50/3 - -17. Solve -1/3*z**3 + 0 + 1/3*z - d*z**4 + 1/3*z**2 = 0 for z.
-1, 0, 1
Let x be (-3)/12 + (-5)/(-20). Let -7 + h**2 + 6*h**2 + 3 - 3*h**3 + x*h**2 = 0. What is h?
-2/3, 1, 2
Let r(f) = -f**5 - 7*f**4 + 7*f**3 + 13*f**2. Let b(x) = -12*x**5 - 76*x**4 + 76*x**3 + 140*x**2. Let w(h) = -3*b(h) + 32*r(h). Find y, given that w(y) = 0.
-1, 0, 1
Let o(a) = 2*a + 26. Let d be o(-12). Suppose -24 = -2*w - 0*g - 4*g, 1 = -d*w + g. Factor 5*x**2 - x**2 + 6*x**w - 6*x**3 + 0*x + 4*x.
-2*x*(x - 2)*(3*x + 1)
Let j be 1/2*(1/8 - (-1264)/128). Solve -1/6*v - 1/6*v**j - 4/3*v**2 + 2/3 + 2/3*v**4 + 1/3*v**3 = 0.
-1, 1, 4
Let u(a) = -a**2 - 16*a - 11. Let l be u(-15). Let c(g) be the first derivative of 0*g - 1/6*g**2 - 1/9*g**3 + 1/12*g**l + 1/15*g**5 - 4. Factor c(s).
s*(s - 1)*(s + 1)**2/3
Let b be 6 + (-7)/((-98)/(-48)). Let g(r) be the first derivative of -2/21*r**3 + 1 - 6/7*r**2 - b*r. Solve g(m) = 0 for m.
-3
Let z = -26315 - -26317. Factor 6/11*t**3 - 4/11 - 14/11*t - 4/11*t**z.
2*(t - 2)*(t + 1)*(3*t + 1)/11
Let l(j) = 2*j**2 - 4*j + 6. Suppose 5*q + a + 0*a = 2, 2*q = 5*a + 17. Let z(p) = p**2. Let y(r) = q*l(r) - 4*z(r). Factor y(w).
-2*(w - 1)*(w + 3)
Let t(o) be the second derivative of 7/90*o**4 + 3/50*o**5 + 0*o**2 + 0 + 2/45*o**3 + 1/315*o**7 - 9*o + 1/45*o**6. Determine d so that t(d) = 0.
-2, -1, 0
Find u, given that 27/5*u**3 - 48/5*u**2 - 93/5*u - 18/5 = 0.
-1, -2/9, 3
Let h(u) = u**3 + 23*u**2 - 2*u - 46. Let g be h(-23). Solve g + 2/5*y**2 + 0*y - 2/5*y**3 = 0 for y.
0, 1
Let z(r) be the first derivative of -r**6/2 - 9*r**5/5 + 3*r**4/2 + 12*r**3 + 12*r**2 - 48. Solve z(p) = 0.
-2, -1, 0, 2
Let q be (0*-2*3/6)/2. Let t be (6 + 2)/(-1*(-1 - 1)). Let 1/3*b**3 + 0 - 1/3*b**5 + q*b + 0*b**2 + 0*b**t = 0. What is b?
-1, 0, 1
Let g(f) = 2*f**2 - 4*f - 58. Let q(z) = z**2 - 2*z - 27. Let y(r) = -6*g(r) + 13*q(r). Find w such that y(w) = 0.
-1, 3
Let v(j) = j**2 + 2*j + 5. Let u be v(-4). Let a be (23/4 - 2) + 1/4. Factor -12*t**4 - t**2 - t + 4 + u*t**a - 3*t - 2*t**2 + 2*t**3.
(t - 1)**2*(t + 2)**2
Let n(y) be the third derivative of -y**5/30 + 11*y**4/6 + 25*y**3 - 40*y**2. Factor n(x).
-2*(x - 25)*(x + 3)
Let b = 7324 - 7322. Factor 0 - 2/5*q**b + 2/5*q.
-2*q*(q - 1)/5
Find w, given that 10 - 2/3*w**2 + 4/3*w = 0.
-3, 5
Let y = -140522 + 1266664/9. Let x = y - 218. Factor 2/9*q + 2/9*q**2 - x.
2*(q - 1)*(q + 2)/9
Let l be (-1)/(2*-1) - 29375/(-11250). Let l*f**2 + 8/3*f**5 - 26/9*f**4 - 8/3*f**3 + 0*f - 2/9 = 0. Calculate f.
-1, -1/4, 1/3, 1
What is d in 2*d**2 + 6*d**2 - 60 + 8*d - 2*d**2 - 11*d**2 + 9*d**2 = 0?
-5, 3
Let d be 3 + (-7)/5 - 4/(-10). Factor 4*z**2 - z**4 + z**d - 2*z**2 - 2*z**2.
-z**2*(z - 1)*(z + 1)
Solve 6*b**2 + 2220*b**5 - 737*b**5 - 745*b**5 - 6*b**4 - 9*b - 741*b**5 + 12*b**3 = 0 for b.
-3, -1, 0, 1
Let z(t) = -8*t**5 - 6*t**4 - 25*t**3 - 5*t**2 - 11. Let p(h) = -3*h**5 - 2*h**4 - 9*h**3 - 2*h**2 - 4. Let n(l) = 11*p(l) - 4*z(l). Factor n(q).
-q**2*(q - 2)*(q - 1)*(q + 1)
Let f(m) be the first derivative of -m**4/18 - 2*m**3/27 + m**2/9 + 21*m - 14. Let l(v) be the first derivative of f(v). Let l(s) = 0. Calculate s.
-1, 1/3
Suppose 5*n + 5 = -5, -2*g - n + 8 = 0. Suppose -k + 15 = 4*x, -2*x + 0*x = 2*k - 12. Factor 0*m**4 - 4*m**2 - 3*m**g + 3*m**k + 7*m**2 - 3*m**4.
-3*m**2*(m - 1)*(m + 1)**2
Factor 0*n**2 - 8/3*n**4 + 0*n + 0 - 2/3*n**3 + 3/2*n**5.
n**3*(n - 2)*(9*n + 2)/6
Factor -2/7*c**2 + 264/7 - 82/7*c.
-2*(c - 3)*(c + 44)/7
Let w(i) be the third derivative of -i**6/72 + i**5/12 - 7*i**3/3 + 3*i**2. Let x(y) be the first derivative of w(y). Factor x(p).
-5*p*(p - 2)
Let v be 1 + 0 - (3 + -5). Factor p + 5*p**3 - 3*p**3 - v*p**3 - 5*p**4 - p**2 + 6*p**4.
p*(p - 1)**2*(p + 1)
Let z be 4 + (-5)/((-150)/(-135)) + 18/4. Factor -2/9*u**z + 0 - 10/9*u**3 + 0*u - 8/9*u**2.
-2*u**2*(u + 1)*(u + 4)/9
Let y(d) be the first derivative of d**5/40 - 13*d**4/16 - 15*d**3/2 - 47*d**2/2 - 32*d + 788. Factor y(s).
(s - 32)*(s + 2)**3/8
Factor h**3 + 590*h**2 - 9*h + 14*h**3 - 596*h**2.
3*h*(h - 1)*(5*h + 3)
Let p = 389 + -386. Let z(y) be the second derivative of -1/16*y**4 - p*y + 0 + 1/4*y**3 - 3/8*y**2. Suppose z(w) = 0. Calculate w.
1
Suppose j + 27 = -4*m + 14, -2*j - 4*m = 10. Let v(b) be the second derivative of 4/27*b**j + 0 + 1/54*b**4 + 7*b + 4/9*b**2. Factor v(g).
2*(g + 2)**2/9
Let r(l) be the first derivative of -117*l**4/8 + 350*l**3/3 - 1041*l**2/4 - 9*l - 578. Suppose r(v) = 0. What is v?
-2/117, 3
Let p(y) be the first derivative of -y**4/12 - y**3/3 - 17*y + 22. Let z(i) be the first derivative of p(i). Let z(n) = 0. Calculate n.
-2, 0
Suppose 9 - 3 = 3*j. Factor -65*n**4 + 0 + 6*n**2 - 4 + 63*n**4 - 2*n**3 + j*n.
-2*(n - 1)**2*(n + 1)*(n + 2)
Let t(h) be the second derivative of -h**7/350 - h**6/100 + h**4/20 + h**3/10 - 11*h**2 + 3*h. Let k(u) be the first derivative of t(u). Solve k(q) = 0.
-1, 1
Suppose 0 = -1028*h + 1030*h - 8. Let v(q) be the second derivative of 10*q - 1/10*q**5 + 0*q**2 - 2/3*q**3 + 0 + 1/2*q**h. Factor v(f).
-2*f*(f - 2)*(f - 1)
Let w(c) = -203*c**2 - 233*c - 10. Let p(g) = -206*g**2 - 231*g - 10. Let k(l) = -4*p(l) + 3*w(l). Determine v so that k(v) = 0.
-1, -2/43
Let w(x) be the second derivative of x**4/18 + 226*x**3/9 + 12769*x**2/3 - 2*x + 11. Factor w(q).
2*(q + 113)**2/3
Let s(x) be the second derivative of x**6/270 - x**5/72 + x**4/72 + x**3 - 5*x. Let n(m) be the second derivative of s(m). Factor n(o).
(o - 1)*(4*o - 1)/3
What is n in 99*n**2 + 106*n**2 - 211*n**2 + 2*n**4 + 4*n = 0?
-2, 0, 1
Let s(p) be the first derivative of p**6/40 - 3*p**5/80 - 3*p**4/16 + 5*p**3/8 - 3*p**2/4 + 8*p + 6. Let w(g) be the first derivative of s(g). Factor w(v).
3*(v - 1)**3*(v + 2)/4
Let x(z) be the first derivative of -4/21*z**3 - 1/7*z**4 + 0*z + 13 + 0*z**2 - 1/35*z**5. Find t, given that x(t) = 0.
-2, 0
Find b, given that 44*b - 5/3*b**2 - 52/3 = 0.
2/5, 26
Let a(k) be the second derivative of -1/30*k**6 + 1/20*k**5 + 0 + 0*k**2 - 1/42*k**7 + 1/12*k**4 + 12*k + 0*k**3. Factor a(o).
-o**2*(o - 1)*(o + 1)**2
Let w(o) be the third derivative of o**5/30 - 3*o**4/2 + 17*o**3/3 + 176*o**2. Determine h so that w(h) = 0.
1, 17
Suppose -5400 + 5220*k + 357/2*k**2 + 3/2*k**3 = 0. What is k?
-60, 1
Let w(q) be the second derivative of -2/5*q**5 + 1/15*q**6 + 0 - 4*q + 1/3*q**4 - 3*q**2 + 4/3*q**3. Factor w(v).
2*(v - 3)*(v - 1)**2*(v + 1)
Suppose -8*p = -2*p + 2*p. Let y(f) be the second derivative of 6*f - 1/48*f**4 - 1/8*f**2 + 1/12*f**3 + p. Factor y(s).
-(s - 1)**2/4
Let h(u) be the third derivative of -u**5/15 - u**4/2 + 36*u**3 - 271*u**2. Determine p, given that h(p) = 0.
-9, 6
Let h = -442 - -446. Let o(a) be the first derivative of -3/5*a**5 - 7/24*a**6 + 0*a**2 + 1/6*a**3 - 3/16*a**h + 6 + 0*a. Let o(u) = 0. Calculate u.
-1, 0, 2/7
Find b, given that -202*b**3 + 98*b**3 + 103*b**3 + 3*b**2 = 0.
0, 3
Let f = 69 - 38. Let w = f - 29. Factor 12*m + 8*m**w + 3*m**5 - 12*m**3 + 0*m**3 + m**5 - 4*m**3 - 8.
4*(m - 1)**3*(m + 1)*(m + 2)
Let m(q) = -5*q*