pose -p + 3*n = 9, 127*p = 123*p + 6*n - 18. Factor 2/7*u + 0*u**2 - 2/7*u**3 + p.
-2*u*(u - 1)*(u + 1)/7
Suppose -3*g + 126*v - 131*v = -17, -3*g + 11 = -v. Solve -1/3*i**2 - 2/3*i**3 - 1/3 + 5/6*i + 2/3*i**g - 1/6*i**5 = 0.
-1, 1, 2
Let h = 9 + -1. Let y = h + -6. Let -3*k**y - 2*k**5 - 1 - 2*k**3 + 4*k + 0*k**5 + 5*k**4 - k**2 = 0. What is k?
-1, 1/2, 1
What is y in -25*y + 15 - 5/3*y**3 + 35/3*y**2 = 0?
1, 3
Let g be (-2)/(-23) - (-11)/(-253)*4*-34. Factor 0 + g*b**4 + 0*b**2 - 3/4*b + 9/4*b**5 + 9/2*b**3.
3*b*(b + 1)**3*(3*b - 1)/4
Let p be (-8)/(-14)*(-23)/((-10166)/91). Suppose -4/17*f**2 + 0*f + 0 - p*f**3 = 0. What is f?
-2, 0
Suppose 0*p = 6*p - 12. Let z be ((21/54)/(-7))/(p/(-8)). Suppose 2/3*u**3 + 2/3*u**2 + 2/9*u**4 + z*u + 0 = 0. What is u?
-1, 0
Let q(u) = 4*u**3 + 6*u**2 - 2*u - 8. Let z(h) = -7*h**3 - 6*h**2 + 3*h + 8. Let b(s) = 3*q(s) + 2*z(s). Factor b(m).
-2*(m - 2)**2*(m + 1)
Let f be (2/(-1))/1*-6. Suppose -5*a + 7 = 4*i, 4*i - 5*a - f = 5. Find k, given that 0 + 2/3*k**2 - 2/9*k**i - 4/9*k = 0.
0, 1, 2
Factor 3*x**2 - 106*x**4 + 55*x**4 + 48*x**4 - 3*x + 0*x + 3*x**3.
-3*x*(x - 1)**2*(x + 1)
Solve 0 + 32/7*y**2 - 200/7*y**4 + 0*y + 16*y**3 - 100*y**5 = 0 for y.
-2/5, -2/7, 0, 2/5
Let j(k) = k**2 - k - 2. Let z(y) = 8*y**2 + 52*y - 136. Let t(x) = -12*j(x) + z(x). Suppose t(m) = 0. What is m?
2, 14
Let r(o) be the second derivative of 3*o**7/91 + 14*o**6/65 + 4*o**5/13 - 8*o**4/13 - 16*o**3/13 + 32*o**2/13 + 63*o. Suppose r(h) = 0. What is h?
-2, 2/3
Let y(d) be the second derivative of 1/12*d**4 - d**2 + 1/6*d**3 + 22*d + 0. Factor y(a).
(a - 1)*(a + 2)
Let o be ((-1300)/(-432) - 3)/5. Let m(k) be the third derivative of -1/27*k**3 + 0*k - 1/36*k**4 - o*k**6 + 9*k**2 - 1/90*k**5 + 0. Factor m(x).
-2*(x + 1)**3/9
Let t(d) be the third derivative of -d**5/240 - d**4/24 - d**3/8 - 84*d**2. Factor t(c).
-(c + 1)*(c + 3)/4
Factor -2/3*u**2 + 8/3*u + 8.
-2*(u - 6)*(u + 2)/3
Let h(p) be the second derivative of p**5/60 - 17*p**4/18 - 71*p**3/18 - 6*p**2 - 142*p. Factor h(b).
(b - 36)*(b + 1)**2/3
Suppose -7 = -2*q - 3. Suppose 0 = 7*x - 4*x - 6. Factor -q*l + 5/6*l**x + 2/3.
(l - 2)*(5*l - 2)/6
Let b(n) = n**5 + 3*n**3 + n + 1. Let m(y) = 4*y**5 + 35*y**4 + 27*y**3 - y - 1. Let q(c) = -b(c) - m(c). Factor q(t).
-5*t**3*(t + 1)*(t + 6)
Let k(p) be the first derivative of -4*p**5/5 - 19*p**4 - 68*p**3 - 98*p**2 - 64*p + 59. Factor k(n).
-4*(n + 1)**3*(n + 16)
Suppose -16*y + 21*y - 2*q = 0, -5*q = -2*y. Let b(t) be the second derivative of 0*t**2 + y - t**3 - 3/20*t**5 - 3/4*t**4 - 2*t. Factor b(i).
-3*i*(i + 1)*(i + 2)
Let u(f) be the first derivative of -13 + 20*f + 80*f**2 + 75*f**3 - 405/4*f**4. Factor u(j).
-5*(j - 1)*(9*j + 2)**2
Suppose -a + 2*a - 32 = -5*n, -3*a + 2*n = -45. Suppose a = -7*g + 31. Factor 2/5*l**g - 2/5*l + 0.
2*l*(l - 1)/5
Factor -176*c**2 - 2/5*c**4 - 968/5*c + 0 + 86/5*c**3.
-2*c*(c - 22)**2*(c + 1)/5
Let d(m) be the first derivative of -25*m**3/3 + 155*m**2/2 - 130*m - 46. Let x(t) = 2*t**2 - 12*t + 10. Let n(w) = 3*d(w) + 40*x(w). Factor n(i).
5*(i - 2)*(i - 1)
Let i be ((-15)/(-54))/(950/2565). Factor 0 + i*u**4 - 3/4*u**2 - 3/4*u**3 + 3/4*u.
3*u*(u - 1)**2*(u + 1)/4
Let m(a) = -48*a**4 - 543*a**3 - 2433*a**2 - 4065*a - 2094. Let q(b) = 3*b**4 + 34*b**3 + 152*b**2 + 254*b + 131. Let j(v) = -2*m(v) - 33*q(v). Factor j(i).
-3*(i + 1)*(i + 3)**2*(i + 5)
Let r(c) be the second derivative of -c**5/5 - 4*c**4/3 - 105*c. What is k in r(k) = 0?
-4, 0
Let x(q) be the third derivative of -9*q**6/40 - q**4/4 - 3*q**2 - 4*q. Let a(d) = 55*d**3 - d**2 + 11*d. Let c(y) = -6*a(y) - 11*x(y). Factor c(m).
-3*m**2*(11*m - 2)
Let z(o) = -4*o - 16. Let l be (-24)/15*20/8. Let c be z(l). Factor c + 0*t - 2/9*t**2 + 2/9*t**3.
2*t**2*(t - 1)/9
Let b(h) be the first derivative of 45/16*h**4 - 5 + 5/4*h**5 - 9/2*h**2 - 2*h - 13/6*h**3. Determine x, given that b(x) = 0.
-2, -2/5, 1
Find v, given that 2/5 + 24/5*v**2 - 14/5*v = 0.
1/4, 1/3
Suppose 4*z - 5*y + 3 = 0, -4*z + 417*y = 416*y - 9. Factor z*r**2 - 3/2*r - 3/2*r**3 + 0.
-3*r*(r - 1)**2/2
Let y be (20/(-30))/((-2)/12). Solve -y*z**5 - 15*z**3 + 11*z**3 - 4*z + 12*z**3 = 0 for z.
-1, 0, 1
Let p(h) be the first derivative of -h**6/8 + 51*h**5/20 - 93*h**4/16 + 15*h**3/4 - 701. Solve p(l) = 0 for l.
0, 1, 15
Let v be (869/(-77) - -11)*(-14)/24. Let b(o) be the third derivative of 2/15*o**5 - 1/30*o**6 + 0 + 0*o - 9*o**2 - 4/3*o**3 + v*o**4. Factor b(j).
-4*(j - 2)*(j - 1)*(j + 1)
Let k(f) be the second derivative of 25*f + 0 + 10*f**2 - 20/3*f**3 - 25/12*f**4. Solve k(v) = 0 for v.
-2, 2/5
Let z = 9 + -7. Factor 3*c**2 + c**z - 4*c**2 + 6 + 4*c**2 + 10*c.
2*(c + 1)*(2*c + 3)
Let u(l) be the first derivative of 0*l**2 + 8/3*l**3 + 4 + 0*l - 1/180*l**6 + 1/15*l**5 + 0*l**4. Let w(q) be the third derivative of u(q). Factor w(k).
-2*k*(k - 4)
Let h(y) = 0*y + 2*y**3 - 8*y - 3*y**3 - y. Let v(c) = c. Let g(n) = 4*h(n) + 36*v(n). Suppose g(d) = 0. Calculate d.
0
Let f = 2238 - 2236. Let t(l) be the first derivative of 6 + 4/3*l - 14/9*l**3 - 5/3*l**f. Suppose t(q) = 0. What is q?
-1, 2/7
Let r(w) = w**2 - 1. Let n(t) = -t**3 + 14*t**2 + 3. Let j be n(14). Let v(i) = -3*i**2 - 3*i + 6. Let l(d) = j*v(d) + 12*r(d). Find g, given that l(g) = 0.
1, 2
Let o(q) be the first derivative of q**4/9 - 8*q**2/9 - 1032. Factor o(y).
4*y*(y - 2)*(y + 2)/9
Let d be 45/(-15) + (-2)/(-4)*22. Factor -8*p**2 + 16*p**3 - d*p + 12*p**4 + 24 - 8*p - 28.
4*(p - 1)*(p + 1)**2*(3*p + 1)
Let j(u) = 3*u + 9. Let m(d) = 1. Let s(o) = j(o) + 9*m(o). Let g be s(-6). Solve g*v**2 + 0*v + 0 + 2/7*v**4 - 2/7*v**3 = 0 for v.
0, 1
Let z(h) = h**4 + h**3 + h + 1. Let s(w) = -8*w**4 - 6*w**3 + 5*w**2 - 4*w - 7. Let n(r) = -s(r) - 5*z(r). Factor n(t).
(t - 1)*(t + 1)**2*(3*t - 2)
Let d(v) be the second derivative of 1/4*v**5 - 6*v + 5/4*v**4 + 0*v**2 - 2 + 5/3*v**3. Determine y, given that d(y) = 0.
-2, -1, 0
Suppose 0 = 3*r + b - 3, -20*r + 5 = -19*r - b. Factor -9/4 - 1/4*o**r - 3/2*o.
-(o + 3)**2/4
Let k(y) be the third derivative of -y**6/90 + 14*y**5/45 - 10*y**4/3 + 16*y**3 - 54*y**2. What is w in k(w) = 0?
2, 6
Let i be 5 + (-29 - (-265)/10)/(10/8). Factor 24*x**2 + 0 - 9/2*x - 32*x**i.
-x*(8*x - 3)**2/2
Factor 80*x + 48 + 1/2*x**4 + 39*x**2 + 15/2*x**3.
(x + 1)*(x + 4)**2*(x + 6)/2
Suppose 0 = -33*m + 27*m + 12. Let a(s) be the first derivative of 0*s + 0*s**m + 1 - 2/3*s**3 - 4/5*s**5 + 1/6*s**6 + 5/4*s**4. Factor a(n).
n**2*(n - 2)*(n - 1)**2
Let q = 60 + -58. Solve -8*b + 99*b**3 + 8*b**2 - q*b**5 - 93*b**3 + 4*b**5 - 8*b**4 = 0 for b.
-1, 0, 1, 2
Let y(j) be the third derivative of -j**5/20 + 27*j**4/8 + 14*j**3 + 22*j**2 + 2. Factor y(n).
-3*(n - 28)*(n + 1)
Let g be (67 - 64)*((-10)/(-6) + -1). Suppose 2*m - 5*f = -6, -4 = -4*m + 3*f - g. Factor 0*d + 3/2*d**m + 0 + 3/4*d**3.
3*d**2*(d + 2)/4
Let s(u) be the second derivative of u**7/21 + 52*u**6/15 + 459*u**5/5 + 2890*u**4/3 + 4913*u**3/3 + 8*u + 3. What is a in s(a) = 0?
-17, -1, 0
Let y(u) be the third derivative of u**7/1050 - 7*u**6/600 + 3*u**5/100 + 7*u**4/120 - u**3/3 + 351*u**2. Find d, given that y(d) = 0.
-1, 1, 2, 5
Let d be 36/63 - (-268)/168. Let p(s) be the second derivative of 0 + 4*s**2 - 4*s + d*s**4 + 4*s**3 + 1/15*s**6 + 3/5*s**5. What is x in p(x) = 0?
-2, -1
Let y(o) be the first derivative of o**7/315 - o**6/90 + 15*o**2 - 29. Let h(q) be the second derivative of y(q). Factor h(l).
2*l**3*(l - 2)/3
Let n(q) be the first derivative of -q**4/15 + q**3/5 - q**2/5 + 33*q + 27. Let l(k) be the first derivative of n(k). Factor l(i).
-2*(i - 1)*(2*i - 1)/5
Suppose 3*q - l - 6 = 0, -3*q + 7*l - 4*l = 0. Factor 54*h**q - 32 - 52*h**3 - 18*h**2 - 4*h - 22 + 58*h.
2*(h - 3)**3
Let y be 3/(-540)*-274 - 36/24. Let q(n) be the second derivative of 1/15*n**5 + 0 + 1/6*n**4 - 4/9*n**3 - y*n**6 - 2*n - 4/3*n**2. Factor q(o).
-2*(o - 2)**2*(o + 1)**2/3
Let f(t) be the third derivative of 0 - 1/60*t**5 - 2/3*t**3 + 20*t**2 + 0*t + 5/24*t**4. Factor f(q).
-(q - 4)*(q - 1)
Let b(f) be the second derivative of f**5/60 - f**4/6 - f**3/18 + f**2 - 2*f - 33. Factor b(v).
(v - 6)*(v - 1)*(v + 1)/3
Let z(s) be the first derivative of -s**6/1260 + s**5/126 + 17*s**2/2 + 4. Let w(t) be the second derivative of z(t). Factor w(a).
-2*a**2*(a - 5)/21
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