1, 0, 3
Suppose -z = -6*z - 15, 0 = -5*o - 5*z - 15. Let n = 0 - -2/7. Factor o - 4/7*u**4 + 0*u - n*u**5 + 0*u**2 - 2/7*u**3.
-2*u**3*(u + 1)**2/7
Suppose -5*q + 30 = -20. Factor -12 - 5*f**3 - 15*f - q*f**3 - 9*f**2 + 51*f.
-3*(f - 1)*(f + 2)*(5*f - 2)
Let j = -24 + 26. Let k(d) be the third derivative of -1/240*d**6 + 1/20*d**5 + 0*d + 0 + 2/3*d**3 - 1/4*d**4 - d**j. Factor k(i).
-(i - 2)**3/2
Let v be (-1)/(-2 + (-1 - 0)). Suppose -t - 2 - 4 = -4*n, -3*n - 4 = -5*t. Determine y so that 2/3 - 1/3*y**t + v*y = 0.
-1, 2
Determine h, given that h**2 - 6 + 5*h**3 + 2*h**2 + 3*h**2 - 2*h**3 - 3*h = 0.
-2, -1, 1
Factor 0 + 3/7*f**2 - 3/7*f**5 + 3/7*f**3 + 0*f - 3/7*f**4.
-3*f**2*(f - 1)*(f + 1)**2/7
Let n = 2/303 - -295/1212. Factor -1/4*q**3 - 1/4*q**2 + 1/4 + n*q.
-(q - 1)*(q + 1)**2/4
Let b = -9 - -16. Suppose 23 = -x + 5*r, b = -4*x + 5*r - 2*r. Factor -3 + 3 - x*j**2 + 2.
-2*(j - 1)*(j + 1)
Let c = 4/29 + 9/145. Solve -c*y**3 + 0*y**2 + 0*y + 0 = 0 for y.
0
Suppose 4*m = -3*t + 7, -5*m - 4*t + 9 = -0*m. Let s be (0/(-2) - 1) + m. Solve -3*b**2 - 2*b**3 + s*b + 7*b**2 - 2*b = 0 for b.
0, 1
Let s(d) = -10*d**3 - d - 2. Let o be s(-2). Determine t so that 91*t**4 + 2 + o*t**2 + 2 - 30*t - 100*t**3 - 14*t**5 - 31*t**4 = 0.
2/7, 1
Let b(f) be the third derivative of f**6/30 - 2*f**5/5 + 2*f**4 - 16*f**3/3 - 16*f**2. Find i such that b(i) = 0.
2
Suppose x - 3*n = 3*x + 34, -3*n = -4*x - 86. Let m = x - -32. Let 10*g**5 + 6*g**5 - 8*g**4 - 4*g - 2 - m*g**2 - 47*g**3 + 4*g**2 + 17*g = 0. What is g?
-1, 1/4, 2
Let g(l) be the second derivative of 3/70*l**7 + 0 + 1/15*l**4 + 0*l**2 + 0*l**3 + 7/50*l**6 + 4/25*l**5 + 5*l. Solve g(a) = 0.
-1, -2/3, 0
Let u(y) be the second derivative of y**7/14 - 3*y**5/10 + y**3/2 - y - 1. Suppose u(n) = 0. What is n?
-1, 0, 1
Let u(z) be the third derivative of z**9/6720 - z**8/960 + z**6/60 - z**5/15 - z**2. Let m(o) be the third derivative of u(o). Factor m(l).
3*(l - 2)*(l - 1)*(3*l + 2)
Let q = 11 - 7. Factor 8*f**5 - f**q + 4*f**4 - 11*f**5.
-3*f**4*(f - 1)
Factor -21/5*q**3 + 27/5*q**4 - 6/5*q**2 + 0 + 0*q.
3*q**2*(q - 1)*(9*q + 2)/5
Let r(a) = -a**3 - 9*a**2 - 11*a - 21. Let i be r(-8). Let c(v) be the third derivative of i*v**2 + 0 - 2/21*v**3 - 1/210*v**5 - 1/28*v**4 + 0*v. Factor c(p).
-2*(p + 1)*(p + 2)/7
Let x(k) be the third derivative of -3*k**2 + 0*k + 1/30*k**5 + 0 + 0*k**3 + 1/12*k**4. Factor x(o).
2*o*(o + 1)
Let u be (-2)/(-1 - 11/(-9)). Let a be (3 + -7)*6/u. Find r such that a*r**3 + 0*r**2 - 2*r + 2/3 = 0.
-1, 1/2
Let n(p) = -4*p**2 + 0 - 5*p + 0 + 5*p**2. Let k be n(5). Solve -4*i**2 - 3*i - 3*i + 4 + k*i = 0.
-2, 1/2
Let c(b) be the second derivative of 1/6*b**4 - 1/30*b**5 + b - 2/9*b**3 + 0*b**2 + 0. Factor c(u).
-2*u*(u - 2)*(u - 1)/3
Let o(g) be the third derivative of g**8/112 - g**6/40 + 12*g**2. Factor o(q).
3*q**3*(q - 1)*(q + 1)
Suppose -1 + 5 = 2*l. Factor -9*x**4 - 10*x**4 + 26*x**3 - 24*x**2 + l*x**5 + 8*x + 7*x**4.
2*x*(x - 2)**2*(x - 1)**2
Let o(p) be the first derivative of -5*p**3/3 + 15*p**2/2 - 10*p - 10. What is j in o(j) = 0?
1, 2
Let u(y) be the second derivative of y**5/10 + y**4/3 + 3*y. Solve u(f) = 0.
-2, 0
Suppose -9/4*l - 3/4*l**3 + 9/4*l**2 + 3/4 = 0. What is l?
1
Let r = 20 - 8. Let m = 14 - r. What is c in -8/11*c**5 + 2/11*c + 6/11*c**3 + 10/11*c**4 + 0 - 10/11*c**m = 0?
-1, 0, 1/4, 1
Let c(q) be the first derivative of 1/12*q**3 + 1/8*q**2 - 1/2*q - 1. Factor c(n).
(n - 1)*(n + 2)/4
Let q(x) = -5*x**4 + 11*x**3 + 2*x**2 - 2*x + 6. Let z(u) = -14*u**4 + 32*u**3 + 7*u**2 - 5*u + 17. Let w(j) = 17*q(j) - 6*z(j). Solve w(r) = 0 for r.
-2, -1, 0
Let u(t) be the third derivative of -t**5/60 - 5*t**4/24 - 2*t**3/3 - 5*t**2. Factor u(k).
-(k + 1)*(k + 4)
Suppose s + 1 - 7 = 0. Let r be 2/s*(-2 + 3). Find b, given that -1/3*b**3 + 0 + 2/3*b**2 - r*b = 0.
0, 1
Let c(i) = 6*i**5 - 2*i**4 + 4*i**3 - 4*i**2 + 6*i - 2. Let d(b) = -b**5 + b**4 - b**3. Let v(p) = c(p) + 8*d(p). Solve v(j) = 0 for j.
-1, 1
Let c be 220/33*(9/4)/3. Let a(h) be the third derivative of 7/150*h**c + 3/5*h**3 + 0*h + 1/4*h**4 + 0 - 3*h**2 + 1/300*h**6. Determine j, given that a(j) = 0.
-3, -1
Let i(u) be the first derivative of u**3/21 - u**2/14 - 2*u/7 - 7. Factor i(m).
(m - 2)*(m + 1)/7
Let f = 3 - 3. Suppose -3*z + 23 = -7. Factor f + z*u + 4 - 15*u**2 + u**2.
-2*(u - 1)*(7*u + 2)
Let o be ((-22)/8)/((-1)/(-8)). Let g = o + 114/5. Determine t, given that -2/5*t - 2/5*t**3 + 0 + g*t**2 = 0.
0, 1
Let y(v) = v**2 + 2*v - 5. Let o be y(-4). Factor -1 + 1 - 2*a**3 + 2 + 2*a + o*a**2 - 5*a**2.
-2*(a - 1)*(a + 1)**2
Suppose -11*n + 8*n + 6 = 0. What is s in 2/3*s**2 + 4/3 - n*s = 0?
1, 2
Let x(s) = s**2 - 11*s - 6. Let m be x(11). Let n = m + 8. Find w such that -w - 1/3*w**3 + 1/3 + w**n = 0.
1
Let k(f) be the first derivative of -6/5*f**5 - 4/3*f**3 - 4/3*f**6 + 9/2*f**4 + 0*f + 8 + 0*f**2. Suppose k(h) = 0. What is h?
-2, 0, 1/4, 1
Let b(x) = -19*x**2 - x. Let q be b(2). Let h be q/(-297) + 4/22. Factor 2/9*a**5 + 0 + 2/9*a + 0*a**4 - h*a**3 + 0*a**2.
2*a*(a - 1)**2*(a + 1)**2/9
Let f = 2 + 0. Factor -2*s**f + 0*s + s - 3*s + 4*s.
-2*s*(s - 1)
Let o(j) be the third derivative of j**6/120 - j**5/20 + j**4/12 + 3*j**2. Let o(y) = 0. Calculate y.
0, 1, 2
Let c(y) = 4*y**2 + 2*y - 5. Let l(j) = 4*j**2 + 3*j - 4. Let t(u) = 6*c(u) - 7*l(u). Factor t(b).
-(b + 2)*(4*b + 1)
Let h(l) be the first derivative of 1/60*l**5 + 1/6*l**3 - 1/12*l**4 + 0*l + l**2 - 1. Let y(x) be the second derivative of h(x). Factor y(r).
(r - 1)**2
Let i = -98/275 + 18/25. Factor -2/11*u**2 + 0 - i*u.
-2*u*(u + 2)/11
Let o = 23/4 - -19/4. Let q(h) = -h**2 - 6*h + 31. Let m be q(-9). Factor -2 + o*b**2 + m*b.
(3*b + 2)*(7*b - 2)/2
Let j(x) = x - 2. Let t be j(2). Let d = t - -2. Factor -2/3*n**d - 8/3 - 8/3*n.
-2*(n + 2)**2/3
Let n = 56/165 + 2/33. Factor -n*i + 0 + 2/5*i**4 + 2/5*i**3 - 2/5*i**2.
2*i*(i - 1)*(i + 1)**2/5
Let i(u) be the first derivative of -u**6/14 - 12*u**5/35 - 15*u**4/28 - 2*u**3/7 - 11. Find y, given that i(y) = 0.
-2, -1, 0
Factor 3/7*w**2 + 3/7*w + 0.
3*w*(w + 1)/7
Let v = 8 + -5. Suppose 2*c - 5*w + 14 = 0, -3*w + 6 = v*c - 5*c. Factor 0*j**5 + 2*j**2 - 2*j**5 - j**4 - j**4 + 2*j**c.
-2*j**2*(j - 1)*(j + 1)**2
Let v be (-208)/(-91) + 4/(-14). Factor -2*m + 5*m**v + 0*m + 4*m**3 - m**3.
m*(m + 2)*(3*m - 1)
Let a(u) = 2*u**2 - 3*u + 2 - u**2 + u**3 + 5*u**2 + 8*u. Let q be a(-5). Solve 0*v**4 + 0*v**q - 2/5*v**5 + 2/5*v**3 + 0 + 0*v = 0 for v.
-1, 0, 1
Factor -3/5 + 2/5*g + 1/5*g**2.
(g - 1)*(g + 3)/5
Factor 3/4*a - 3/8*a**2 - 3/8.
-3*(a - 1)**2/8
Let k = -6 - -8. Let h(d) = -d**2 + 4*d - 2. Let f be h(k). Suppose 3*a - 7/3*a**f - 2/3 = 0. What is a?
2/7, 1
Let i(m) be the second derivative of 1/18*m**4 + 0*m**2 + 0*m**3 + 5*m + 0. Factor i(t).
2*t**2/3
Let w = -196 + 224. What is z in 2/3 + w*z**2 + 22/3*z - 54*z**5 - 18*z**4 + 36*z**3 = 0?
-1/3, 1
Let p(z) = -4*z**3 + 17*z**2 - 22*z - 7. Let u(k) = k**3 + k**2. Let g(w) = -3*p(w) - 24*u(w). What is j in g(j) = 0?
-7, -1/4, 1
Suppose -7/6*n**5 - 8/3*n**4 + 2/3*n + 0 + 1/2*n**3 + 8/3*n**2 = 0. What is n?
-2, -1, -2/7, 0, 1
Suppose -3*g = 4*g - 35. Let r(f) be the first derivative of 2/3*f - 2/3*f**4 + 4/3*f**3 + 1 - 4/3*f**2 + 2/15*f**g. Let r(j) = 0. What is j?
1
Let h(f) = f + 14. Let n be h(-14). Factor 1/4*r**5 - 1/4*r**2 + n*r + 0 - 3/4*r**4 + 3/4*r**3.
r**2*(r - 1)**3/4
Solve j - 2/3 - 1/3*j**2 = 0.
1, 2
Suppose -2*h = 4*r - h + 44, 4*h + 46 = -3*r. Let g be 6/r + (-14)/(-10). Find x, given that 0 - g*x**2 - 2/5*x - 2/5*x**3 = 0.
-1, 0
Let v(x) be the third derivative of x**6/540 + x**5/270 - x**4/54 - x**2. Factor v(d).
2*d*(d - 1)*(d + 2)/9
Let t(r) be the third derivative of 0 - 1/96*r**5 - 1/320*r**6 + 0*r**3 + 1/2688*r**8 + 10*r**2 + 0*r - 1/96*r**4 + 1/1680*r**7. Let t(v) = 0. Calculate v.
-1, 0, 2
Let -4*p**4 + 15*p + 0*p**2 + 3*p**3 + 25*p**2 + 2*p**3 - p**4 = 0. What is p?
-1, 0, 3
Let j be (-20)/(-35) + 16/(-28). Factor j + 0*h**2 + 2/3*h - 2/3*h**3.
-2*h*(h - 1)*(h + 1)/3
Let u be (-6)/8 + (-15)/(-4). Solve -w**u + w - w**2 - w + 2*w**2 = 0.
0, 1
Let g = 2/619 - -319/92850. Let i(n) be the third derivative of -1/15*n**3 + 0*n + 0 - n**2 + g*n**5 + 0*n**4. Factor i(x).
2*(x - 1)*(x + 1)/5
Factor 4/3 - 2/3*d - 2/3*d**2.
-2*(d - 1)*(d + 2)/3
