ch that l**2 - 3*l**2 + l**2 - 4*l**4 - 3*l**2 + a*l**3 = 0.
0, 1
Let x(i) = i**3 - i**2 - i - 1. Let y(f) = -3*f**3 + 2*f**2 + 5*f + 6. Let s(h) = 15*x(h) + 3*y(h). Let s(j) = 0. What is j?
-1/2, 1
Let o(s) be the third derivative of -s**5/12 + 35*s**4/12 - 245*s**3/6 - 22*s**2. Factor o(t).
-5*(t - 7)**2
Let q = 2005 + -336839/168. Let l(k) be the second derivative of 0*k**4 + 0 + 0*k**3 - 2*k - 1/80*k**5 + 1/60*k**6 + 0*k**2 - q*k**7. Factor l(r).
-r**3*(r - 1)**2/4
Let x(u) be the first derivative of -u**4/16 - u**3/12 + 6. Factor x(f).
-f**2*(f + 1)/4
Let i(m) be the first derivative of -m**5/15 - m**4/4 + 2*m**2/3 + 53. Find n such that i(n) = 0.
-2, 0, 1
Let k = -2 + 9. Let h be 1/2*(k - 1). Solve -12*g + 36*g**2 + 18*g**4 + 66*g**h - 27*g**3 - 68*g**4 - 13*g**4 = 0.
-2/3, 0, 2/7, 1
Let l(x) be the second derivative of -x**5/20 - x**4/6 - 3*x. What is i in l(i) = 0?
-2, 0
Let v = -4286/3 - -1415. Let o = v + 14. Factor o*x**3 + 1/3*x**2 - 1/3 - 1/3*x.
(x - 1)*(x + 1)**2/3
Let w = 499 + -491. Solve -w*x - 16/7 - 18/7*x**3 - 60/7*x**2 = 0.
-2, -2/3
Let 0*z - 2/3*z**2 + 2/3*z**5 - 2/3*z**3 + 0 + 2/3*z**4 = 0. Calculate z.
-1, 0, 1
Let u(s) = -2*s**3 + 27*s**2 - 34*s - 22. Let p be u(12). Factor -1/5*x**p + 0 + 0*x.
-x**2/5
Let m be (12/14)/(40/140). Let v be -2 - 2*(1 - m). Determine l, given that 0 - 2/9*l**v - 4/9*l = 0.
-2, 0
Let p(q) = 5*q**2 + 30*q - 35. Let l(h) = h**2 + 5*h - 6. Let d(u) = 25*l(u) - 4*p(u). Factor d(k).
5*(k - 1)*(k + 2)
Let p = -10 + 10. Let y(x) be the second derivative of -1/80*x**5 - x - 1/48*x**4 + 0*x**3 + p + 0*x**2. Factor y(q).
-q**2*(q + 1)/4
Determine p, given that -6*p**4 + 10*p**3 - 56*p - 4*p**2 + 112*p - 56*p = 0.
0, 2/3, 1
Let z = -5 - -1. Let y(o) = -o - 1. Let w be y(z). Find s, given that -4*s - 5*s**2 + 3*s**2 - s**w - 9*s**3 - 12*s**2 = 0.
-1, -2/5, 0
Let o(q) be the first derivative of -1/18*q**3 + 0*q**2 - 3 + 0*q. Determine j, given that o(j) = 0.
0
Let y(x) = -8*x**2 + 10*x - 2. Let n(v) be the second derivative of 17/12*v**4 + 2*v**2 - 7/2*v**3 + v + 0. Let u(d) = -2*n(d) - 5*y(d). Solve u(k) = 0.
1/3, 1
Let 11*d + 36*d**3 + 5*d - 3*d**2 - 77*d**2 = 0. What is d?
0, 2/9, 2
Let b(g) be the third derivative of -g**6/80 + g**5/20 + g**4/16 - g**3/2 + 2*g**2. Factor b(j).
-3*(j - 2)*(j - 1)*(j + 1)/2
Suppose 2*n = 2*d + d + 297, -4*n + 586 = 2*d. Let a = -732/5 + n. Find p such that 0 - 1/5*p**2 - a*p = 0.
-3, 0
Factor 4*o**4 - o**3 - 4*o**2 + 4*o - o**3 - 2*o**3.
4*o*(o - 1)**2*(o + 1)
Let a be 3 - (2/(-6) - 65/(-60)). Solve 27/4 + a*r**2 - 1/4*r**3 - 27/4*r = 0.
3
Let x be (-12)/(-5)*1 - 38/95. Factor 1/5 + 1/5*r**x + 2/5*r.
(r + 1)**2/5
Let u be (-180)/210*(0/(-2) - 1). Determine r so that 2/7 + u*r + 6/7*r**2 + 2/7*r**3 = 0.
-1
Determine c, given that -883 - 16*c + 883 + 3*c**2 + 4*c = 0.
0, 4
Let o(f) be the third derivative of -1/48*f**4 + 0*f**3 + 0 + 1/60*f**7 - 4*f**2 + 1/24*f**5 - 1/336*f**8 + 0*f - 3/80*f**6. Suppose o(k) = 0. What is k?
0, 1/2, 1
Find a, given that -2/7 - 8/7*a**3 - 4/7*a**2 + 8/7*a + 6/7*a**4 = 0.
-1, 1/3, 1
Let z(n) = n**3 - 4*n**2 + 5. Let s(p) = 2*p**3 - 12*p**2 + 14. Let y = -18 - -13. Let o(t) = y*s(t) + 14*z(t). Factor o(a).
4*a**2*(a + 1)
Let i(b) be the third derivative of 0 - 1/60*b**6 + 2/3*b**3 + 10*b**2 - 1/15*b**5 + 0*b + 1/12*b**4. Factor i(d).
-2*(d - 1)*(d + 1)*(d + 2)
Let j(d) be the second derivative of 3*d**5/20 - 3*d**4/4 + 6*d**2 + 7*d. Factor j(n).
3*(n - 2)**2*(n + 1)
Let b(a) be the second derivative of -1/9*a**6 + 0*a**4 + 0 + 1/3*a**2 - 1/42*a**7 - 1/6*a**5 + 5/18*a**3 - 2*a. Factor b(y).
-(y + 1)**4*(3*y - 2)/3
Let n be 2101/525 + 12/(-3). Let t(m) be the third derivative of 1/150*m**5 - 2/15*m**3 + n*m**7 - m**2 - 1/100*m**6 + 0*m + 1/20*m**4 + 0. Factor t(a).
2*(a - 2)*(a - 1)**2*(a + 1)/5
Let y(v) be the first derivative of 0*v + 1/360*v**6 + 0*v**2 + 1/24*v**4 - 1/3*v**3 - 1 + 1/60*v**5. Let w(f) be the third derivative of y(f). Factor w(d).
(d + 1)**2
Let l be 2/16 + (-6)/48. Let s(j) be the third derivative of l*j**4 - 1/30*j**5 + 0*j + 1/105*j**7 + 0 + 0*j**6 + 0*j**3 - 2*j**2. Determine y so that s(y) = 0.
-1, 0, 1
Let j = 1633/24 + -68. Let v(d) be the third derivative of -1/120*d**6 - 2*d**2 + 1/210*d**7 + j*d**4 - 1/60*d**5 + 0*d**3 + 0*d + 0. Let v(p) = 0. What is p?
-1, 0, 1
Let w(y) = 2*y - 2. Let q be w(2). Factor 2*d**q - 4*d - 5*d**2 - d**2.
-4*d*(d + 1)
Determine s so that 2/9*s - 2/9*s**3 + 0 + 2/9*s**4 - 2/9*s**2 = 0.
-1, 0, 1
Suppose 5*i - 993 = 4*j - j, j = -3*i + 593. Let m = -389/2 + i. Solve m*h**2 - 1 + 5/2*h = 0 for h.
-1, 2/7
Let f = -4 + 6. Let b be (3 + 8)/(1/f). Factor 8*y + 9*y**4 + 1 + 24*y**3 + 0*y**3 + b*y**2 + 0.
(y + 1)**2*(3*y + 1)**2
Let r be 3984/1548 - 2/(-2). Let o = r + 4/43. Suppose -2/3 - 3*s**2 - o*s = 0. Calculate s.
-1, -2/9
Let t = 10 + -6. Let f(a) be the second derivative of -1/6*a**2 - 1/36*a**4 + t*a - 1/9*a**3 + 0. Factor f(n).
-(n + 1)**2/3
Let t be 3732/45 - (-6)/9. Let z = t - 82. Factor 8/5*f + z*f**3 + 2/5 + 12/5*f**2 + 2/5*f**4.
2*(f + 1)**4/5
Suppose 2*v = 3*g, 5*v - g = -6*g. Find m such that -1/5 - 1/5*m**4 + v*m + 0*m**3 + 2/5*m**2 = 0.
-1, 1
Suppose 0 = -2*d + 6*d - w + 30, 3*d + 2*w = -17. Let s = d - -7. Factor 0*a - 1/4*a**4 + 0 + s*a**2 - 1/4*a**3.
-a**3*(a + 1)/4
Let r(b) be the third derivative of 0 - 7/20*b**5 - 7/40*b**6 + 0*b**3 + 0*b - 1/35*b**7 + 10*b**2 - 1/4*b**4. Solve r(d) = 0 for d.
-2, -1, -1/2, 0
Let b(s) = s**4 - s**3 - s + 1. Let y(d) = 5*d**5 - d**4 + d**3 - 5*d**2 + 6*d - 6. Let t(c) = -6*b(c) - y(c). Factor t(m).
-5*m**2*(m - 1)*(m + 1)**2
Suppose 0 = -2*d + 5*d - 6. Suppose -3*z + 53 - 47 = 0. Find j, given that j - z*j - j**d + j = 0.
0
Let i(n) be the first derivative of n**4/12 - n**3/3 + n**2/2 + 3*n - 6. Let p(l) be the first derivative of i(l). Factor p(t).
(t - 1)**2
Find y such that 0 - 1/7*y**3 + 3/7*y**2 - 2/7*y = 0.
0, 1, 2
Solve 2*c**2 + 9 - 2 - 4 - 5 + c**3 - c = 0 for c.
-2, -1, 1
Determine a so that 51*a + 50*a - a**2 - 103*a - a**2 = 0.
-1, 0
Let n(j) be the third derivative of 0*j**3 - 1/24*j**4 - 1/60*j**5 - 2*j**2 + 0*j + 0. Suppose n(b) = 0. Calculate b.
-1, 0
What is w in 3*w**5 + 3*w**4 + 0*w + 0*w - 4*w**5 - 3*w**3 + w**2 = 0?
0, 1
Find h, given that -2/5*h**2 + 0*h + 0 - 1/5*h**3 = 0.
-2, 0
Let q(n) be the first derivative of -3*n**4/32 + n**3/8 + 3*n**2/8 + 10. Factor q(c).
-3*c*(c - 2)*(c + 1)/8
Let w(d) be the first derivative of d**9/9072 - d**7/2520 + d**3/3 - 1. Let o(g) be the third derivative of w(g). Solve o(p) = 0.
-1, 0, 1
Let 4 - 5*q**2 + 15*q - 2 + 18 = 0. Calculate q.
-1, 4
Suppose -5*t + 2 - 6 = 3*w, 3*w = 2*t + 10. Let d(x) be the second derivative of 0*x**3 - 1/6*x**4 + 0*x**5 - x + 1/30*x**6 + 0 + 1/2*x**w. Factor d(a).
(a - 1)**2*(a + 1)**2
Let p(b) = b**2 + 14*b + 16. Let s be p(-13). Factor 19 + q**s - 9 - 10 - q.
q*(q - 1)*(q + 1)
Let y(z) = -13*z**4 + 40*z**3 - 33*z**2 + 17*z + 1. Let q(v) = 10*v**4 + 32*v**2 - 3 - 18*v - 40*v**3 + 1 + 2*v**4. Let o(h) = 3*q(h) + 4*y(h). Factor o(k).
-2*(k - 1)*(2*k - 1)**3
Let z(g) be the first derivative of -g**4/14 - 2*g**3/21 + g**2/7 + 2*g/7 + 5. Factor z(c).
-2*(c - 1)*(c + 1)**2/7
Let x be 4*(-9)/180 + (-49)/(-5). Solve x*d - 16/5 - 52/5*d**2 - 4/5*d**4 + 24/5*d**3 = 0 for d.
1, 2
Let x(o) be the second derivative of -o**6/360 - o**5/40 - o**4/12 - o**3/3 - 3*o. Let a(p) be the second derivative of x(p). Factor a(l).
-(l + 1)*(l + 2)
Let q(l) be the first derivative of 5 + 0*l + 0*l**4 - 1/4*l**2 + 1/12*l**6 - 1/3*l**3 + 1/5*l**5. Find a, given that q(a) = 0.
-1, 0, 1
Let m(z) = z - 4. Let o be m(6). Let t be (-95)/(-225) + 1/(-5). Factor -2/9*y + 0 + t*y**o.
2*y*(y - 1)/9
Factor 6 - 9/2*c**2 - 6*c.
-3*(c + 2)*(3*c - 2)/2
Let t(k) be the third derivative of k**7/42 + k**6/8 + k**5/4 + 5*k**4/24 - 8*k**2. Solve t(i) = 0.
-1, 0
Let o be -8*(-2)/4 + 2. Let w = o + -4. Factor -4*i**2 - 3*i**3 + 0*i**2 - i**4 + i**w - i.
-i*(i + 1)**3
Suppose -f = 3*f - 36. Factor f*o**2 + o - 4 - 7*o**3 + 11*o + 0*o.
-(o - 2)*(o + 1)*(7*o - 2)
Let w(a) be the second derivative of -1/2*a**2 + 1/2*a**3 + 0 - 1/4*a**4 + 1/20*a**5 + 3*a. Determine x so that w(x) = 0.
1
Let g(l) be the third derivative of l**8/336 - l**7/30 + 19*l**6/120 - 5*l**5/12 + 2*l**4/3 - 2*l**3/3 + 4*l**2. Fact