/2 - n**3 + 3/2*n - 3/2*n**4 - 1/2*n**5 + n**z.
-(n - 1)*(n + 1)**4/2
Suppose 4*h + h - 30 = 0. Factor -3*y**2 + 2*y**2 - 4*y**2 + 8*y**4 + h*y**3 + 3*y**2.
2*y**2*(y + 1)*(4*y - 1)
Solve 8*z + z**2 + 4*z - 3*z**3 - z**3 - 9*z**2 = 0 for z.
-3, 0, 1
Let g(u) be the second derivative of -u**4/16 - 11*u**3/24 - 3*u**2/4 + 7*u. Suppose g(o) = 0. What is o?
-3, -2/3
Let u(s) = 2*s + 14. Let a be u(-6). Let c(l) be the second derivative of a*l - 1/42*l**7 + 0*l**3 + 1/6*l**4 + 0*l**2 - 1/4*l**5 + 2/15*l**6 + 0. Factor c(p).
-p**2*(p - 2)*(p - 1)**2
Factor -18/11*s**5 + 0*s**2 + 0 + 0*s - 14/11*s**4 + 4/11*s**3.
-2*s**3*(s + 1)*(9*s - 2)/11
Suppose 0 + 0*j + 2/3*j**2 + 1/3*j**4 - j**3 = 0. Calculate j.
0, 1, 2
Let i be ((-3)/6)/((-3)/2). Find h such that i + 0*h - 1/3*h**2 = 0.
-1, 1
Let g(b) = b**3 + 1 - 2*b**2 - 2 + b + b**2. Let s(y) = 2*y**3 + y - 1. Let v(f) = -g(f) + s(f). Suppose v(q) = 0. Calculate q.
-1, 0
Let w(h) be the third derivative of h**8/336 - 11*h**7/630 + h**6/72 + h**5/60 + 17*h**2 + 2. Find c, given that w(c) = 0.
-1/3, 0, 1, 3
Let q(n) = 2*n**2 - 8*n + 6. Let c(u) = -u**2 + 5*u - 4. Let h(i) = 8*c(i) + 5*q(i). Suppose h(x) = 0. What is x?
-1, 1
Let t = 2 - -2. Suppose 0 = t*f - 5*f. What is s in 1/3*s**2 - 1/3*s + f = 0?
0, 1
Let x(v) = v**3 - 7*v - 4. Let d be x(3). Suppose 3/4*m - 1/2*m**d - 3/4*m**3 + 1/2 = 0. Calculate m.
-1, -2/3, 1
Suppose -x = 5*y - 2*x - 1, -3*x - 3 = 0. Let u(p) be the first derivative of y*p**2 - 2 + 1/2*p**4 + 0*p + 0*p**3. Find f such that u(f) = 0.
0
Let n(k) be the first derivative of -8*k**5/55 + 25*k**4/22 - 36*k**3/11 + 4*k**2 - 16*k/11 + 35. Factor n(i).
-2*(i - 2)**3*(4*i - 1)/11
Suppose 5*i + 5*x = 0, -3*x = -0*i - 3*i. Suppose 5*w - w = i. Let 2/7*n**4 - 2/7*n**3 + 0*n + 0*n**2 + w = 0. Calculate n.
0, 1
Suppose 0*s = -2*s + 6. Let b(z) be the first derivative of -1/3*z**s + 0*z - 2 - 1/4*z**4 + 0*z**2. Factor b(l).
-l**2*(l + 1)
Let u(l) be the third derivative of 0*l - 1/300*l**6 + 0*l**3 - 1/150*l**5 + 1/60*l**4 - 2*l**2 + 1/525*l**7 + 0. Factor u(t).
2*t*(t - 1)**2*(t + 1)/5
Let a = 74 + -68. Let o(v) be the second derivative of 1/50*v**5 - 1/150*v**a - 1/60*v**4 + 2*v + 0*v**2 + 0*v**3 + 0. Let o(n) = 0. What is n?
0, 1
Let r(t) = t**2 + 6*t. Let n be r(-6). Let h(l) be the third derivative of -1/315*l**7 + 1/18*l**4 + n*l**3 + 1/30*l**5 + 0*l + 0*l**6 + 0 - l**2. Factor h(u).
-2*u*(u - 2)*(u + 1)**2/3
Let i(c) be the second derivative of c**8/3360 + c**7/840 + c**6/720 - 7*c**3/6 + 3*c. Let v(h) be the second derivative of i(h). Find n, given that v(n) = 0.
-1, 0
Let k = -139/24 - -37/6. Let y = 7/24 + k. Factor 2/3*g + 2/3*g**2 - y*g**3 + 0 - 2/3*g**4.
-2*g*(g - 1)*(g + 1)**2/3
Let i(f) be the first derivative of 3*f**4/8 - 9*f**2/4 + 3*f - 3. Determine k, given that i(k) = 0.
-2, 1
Let y(m) be the second derivative of 3/20*m**5 - 5/2*m**3 - 1/10*m**6 + 0 + 3/4*m**4 + 7*m + 3*m**2. Factor y(r).
-3*(r - 1)**3*(r + 2)
Let b(h) be the third derivative of -h**6/420 + h**5/35 - 11*h**4/84 + 2*h**3/7 - 10*h**2. Factor b(m).
-2*(m - 3)*(m - 2)*(m - 1)/7
Let k(u) be the third derivative of u**5/270 - 7*u**4/54 + 49*u**3/27 - 16*u**2. Factor k(l).
2*(l - 7)**2/9
Let h = 5 + 0. Let v(x) be the first derivative of -2/3*x**3 + 2/5*x**h + 1/3*x**6 - 2 + 0*x**2 + 0*x - 1/2*x**4. Factor v(a).
2*a**2*(a - 1)*(a + 1)**2
Let y be (-5)/(-2) - 3/6. Let w be (-3)/(-1) - 1 - 0. Factor 1 - x + x**4 - x**5 - 2*x**2 + 2*x**2 + 2*x**3 - y*x**w.
-(x - 1)**3*(x + 1)**2
Factor 0 + 4/3*r**2 + 4/3*r.
4*r*(r + 1)/3
Let o be (-3 - 1) + (-49)/(-7). Factor -u**3 - o*u - 28*u**2 + 9*u**3 - 5*u + 28*u**4.
4*u*(u - 1)*(u + 1)*(7*u + 2)
Suppose -4*p + 9*x - 25 = 14*x, 2*p - 5*x = 25. Factor 8/5*w**3 + p + 6/5*w**2 + 2/5*w**4 + 0*w.
2*w**2*(w + 1)*(w + 3)/5
Let x(v) = 11*v**4 + 19*v**3 + 25*v**2 + 12*v + 5. Let h(o) = -17*o**4 - 28*o**3 - 37*o**2 - 18*o - 8. Let j(l) = 5*h(l) + 8*x(l). Let j(p) = 0. Calculate p.
-2, -1, 0
Let v = 196/303 + 2/101. Determine i so that 1/2*i**3 - 1/6*i**5 - v*i + 2/3*i**2 - 1/3*i**4 + 0 = 0.
-2, 0, 1
Factor 2*k**2 + 2*k**2 - 3*k**2 - 3*k**2.
-2*k**2
Let g = 327/4 - 81. Solve -g*s**2 + 3/4*s + 3/4 - 3/4*s**3 = 0 for s.
-1, 1
Let c(m) be the first derivative of -m**6/12 - 3*m**5/10 + m**4/4 + m**3 - m**2/4 - 3*m/2 - 6. Let c(g) = 0. Calculate g.
-3, -1, 1
Let w(u) = -5*u**3 - u**2 + u + 1. Let p be w(-1). Suppose -p = -4*m + 4. What is f in 1 - 2 - 7*f**4 + 5*f - m*f**3 + 2 - 3*f**5 + 3*f**2 + 3*f**2 = 0?
-1, -1/3, 1
Let w(c) be the first derivative of -1/6*c**3 - 1/2*c + 3 - 1/2*c**2. Suppose w(q) = 0. Calculate q.
-1
Let r(g) be the second derivative of -g**6/180 + g**5/20 - g**4/6 + g**3/6 + g. Let u(q) be the second derivative of r(q). Determine f so that u(f) = 0.
1, 2
Suppose 0*n - 16 = -3*n - 2*c, 4*n - 22 = -3*c. Suppose -1 - 4*o**4 - 2*o + n*o**4 + 2*o**3 + 2 - o**4 = 0. Calculate o.
-1, 1
Factor -1/5*y**4 + 0 + 0*y**3 + 12/5*y**2 + 16/5*y.
-y*(y - 4)*(y + 2)**2/5
Let c(k) = -60*k**3 + 35*k**2 + 215*k - 120. Let g(b) = 5*b**3 - 3*b**2 - 18*b + 10. Let f(z) = 3*c(z) + 35*g(z). Factor f(y).
-5*(y - 1)**2*(y + 2)
Suppose -5*o = -20, f + 24 = 5*f - 2*o. Let m(y) = -y**2 + 8*y + 4. Let t be m(f). Suppose -5 + 2*x**2 + 0*x**2 + 7 + t*x = 0. What is x?
-1
Let w(k) = -6*k**2 + 5*k + 1. Let m(q) = 9*q**2 - 8*q - 1. Suppose 0 = -4*z + 39 - 7. Let x(y) = z*w(y) + 5*m(y). Let x(c) = 0. Calculate c.
-1, 1
Let b(o) be the first derivative of o**7/420 - o**6/120 + o**5/120 - 7*o**2/2 + 9. Let d(x) be the second derivative of b(x). Solve d(y) = 0 for y.
0, 1
Let t be (18/(-8))/(-1) - (-36)/(-18). Suppose 1/4*a**3 - 1/4*a + t*a**2 - 1/4 = 0. What is a?
-1, 1
Factor -2/9 - 1/9*d**3 + 0*d**2 + 1/3*d.
-(d - 1)**2*(d + 2)/9
Let c(v) = 5*v**2 - 15. Let i(u) = -25*u**2 + 11*u + 101. Let b(r) = -8*r**2 + 4*r + 34. Let p(n) = 8*b(n) - 3*i(n). Let f(t) = -13*c(t) + 6*p(t). Factor f(g).
(g - 3)**2
Let h(l) = -l**3 + l**2 + l. Let u(o) = -o**5 + o**4 + 7*o**3 - 7*o**2 - 6*o + 1. Let q(x) = 5*h(x) + u(x). Solve q(m) = 0.
-1, 1
Factor -i**2 + 0*i - 1/2*i**3 + 0.
-i**2*(i + 2)/2
Let h = 1/555 + 29/4440. Let p(j) be the third derivative of -1/12*j**3 + 2*j**2 + h*j**5 - 1/48*j**4 + 1/240*j**6 + 0 + 0*j. Factor p(k).
(k - 1)*(k + 1)**2/2
Suppose 0 = 2*y - 8 - 12. Suppose -y - a**2 + 10 + a = 0. Calculate a.
0, 1
Let i(j) = -6*j**4 - 44*j**3 - 80*j**2 - 40*j. Let q(v) = -4*v**4 - 29*v**3 - 53*v**2 - 27*v. Let h(u) = 5*i(u) - 8*q(u). Factor h(r).
2*r*(r + 2)**3
Let u(z) = -z**2 - 2*z - 4. Let v(b) be the third derivative of -b**5/60 - b**4/24 - 2*b**3/3 - 2*b**2. Let w(k) = -3*u(k) + 2*v(k). Factor w(y).
(y + 2)**2
Solve k**4 + 20 - 20 = 0.
0
Solve -1/2*l**3 + 21/2*l**2 + 343/2 - 147/2*l = 0 for l.
7
Let l(n) = 3*n - 7*n - 12*n**2 - 10*n**3 - 7 - 1 - 10*n. Let w(x) = 19*x**3 + 25*x**2 + 28*x + 15. Let k(h) = 7*l(h) + 4*w(h). Factor k(t).
2*(t + 1)**2*(3*t + 2)
Let k(m) = m**2 + m + 1. Let i = -5 - -3. Let z be k(i). Solve 1 - 3 + 0*o + 10*o**4 + 3*o**5 - 5*o + 10*o**z = 0 for o.
-1, 2/3
Let l(w) be the first derivative of 1/10*w**4 + 0*w - 2/15*w**3 + 0*w**2 + 6. Factor l(f).
2*f**2*(f - 1)/5
Let l(i) be the third derivative of i**8/20160 + i**7/2520 + i**5/12 + 4*i**2. Let c(m) be the third derivative of l(m). Factor c(j).
j*(j + 2)
Let n(w) be the second derivative of 1/4*w**4 + 9/2*w**2 - 3*w - 2*w**3 + 0. Factor n(i).
3*(i - 3)*(i - 1)
Factor -4/11*d**2 + 0 + 2/11*d + 2/11*d**3.
2*d*(d - 1)**2/11
Let v(w) be the third derivative of w**6/60 - 4*w**5/15 + 12*w**2. Factor v(a).
2*a**2*(a - 8)
Let w(s) be the second derivative of -s**6/15 + 7*s**5/30 - s**4/6 - s**3/3 + 7*s**2/2 + 2*s. Let n(u) be the first derivative of w(u). Factor n(f).
-2*(f - 1)**2*(4*f + 1)
Suppose 22*y - 31*y = -18. Suppose -2*n = 2*a - 12, 2*n - 22 = -3*a - 2*n. Let -1/3*k - a*k**4 + 0 + 2*k**y - 8/3*k**3 + 3*k**5 = 0. What is k?
-1, 0, 1/3, 1
Let n(d) be the second derivative of 7*d**6/60 - 29*d**5/120 - d**4/48 + d**3/6 - d**2/2 - d. Let t(q) be the first derivative of n(q). Solve t(z) = 0 for z.
-1/4, 2/7, 1
Let x(u) be the third derivative of u**8/1176 - u**7/735 - u**6/210 + u**5/105 + u**4/84 - u**3/21 + u**2. Determine j, given that x(j) = 0.
-1, 1
Factor 8/7 - 12/7*u + 4/7*u**2.
4*(u - 2)*(u - 1)/7
Let m = -1 - -9/7. Suppose 4*n = 