**2 - 1. Factor h(n).
2*(n - 2)*(23*n - 2)**2/7
Suppose 0 = 5*s - 3*q + 7, 0*q = -3*q + 12. Let w be (-8)/(-2 + -6 + s). Factor w - 2/7*m**3 - 16/7*m + 10/7*m**2.
-2*(m - 2)**2*(m - 1)/7
Let g = 25 - 23. Let w(s) be the second derivative of 0*s**g + 0 + 1/60*s**4 + 1/30*s**3 + s. Factor w(a).
a*(a + 1)/5
Let a = -45 - -51. Let q(u) be the third derivative of -2*u**2 + 2/15*u**3 + 0*u + 3/100*u**a + 2/25*u**5 + 0 - 11/60*u**4. What is l in q(l) = 0?
-2, 1/3
Let p(k) = 2*k**2 - 7*k - 12. Let f be p(5). Factor 0 - 2/7*w**5 - 4/7*w**2 + 0*w - 10/7*w**f - 8/7*w**4.
-2*w**2*(w + 1)**2*(w + 2)/7
Let b = -6 + 8. Let z(q) = q**3 - 3*q**2 - 3*q + 4. Let c be z(4). Factor a**3 + c*a**b + 8*a + 4*a**3 + a**3 - 4*a**3.
2*a*(a + 2)**2
Solve 0 - 8/5*c**2 - 16/5*c - 2/5*c**5 + 12/5*c**3 + 2/5*c**4 = 0.
-2, -1, 0, 2
Let n(i) be the second derivative of 7*i**6/25 + 69*i**5/20 + 6*i**4 + i**3/2 - 21*i**2/5 - 22*i. Solve n(m) = 0.
-7, -1, -1/2, 2/7
Let q(f) be the third derivative of 0*f + 0 - 1/60*f**4 + 1/30*f**3 + 3*f**2 + 1/300*f**5. Factor q(z).
(z - 1)**2/5
Let q(i) be the first derivative of i**5 - 15*i**4/4 - 5*i**3/3 + 15*i**2/2 - 2. Factor q(b).
5*b*(b - 3)*(b - 1)*(b + 1)
Let t(r) be the third derivative of -r**7/84 + r**6/16 - r**5/12 + 6*r**2. Solve t(g) = 0.
0, 1, 2
Let o(r) be the first derivative of 0*r + 4/3*r**3 - 6 - 2*r**2. Factor o(c).
4*c*(c - 1)
Let b(p) be the first derivative of -p**4 - 22*p**3/9 - 4*p**2/3 + 4*p - 2. Let j(r) be the first derivative of b(r). Factor j(t).
-4*(t + 1)*(9*t + 2)/3
Suppose 2*h + 4*d - 8 = -h, -2 = -3*h - d. Solve h*i + 2/5*i**2 + 2/5*i**4 + 0 - 4/5*i**3 = 0 for i.
0, 1
Let p(r) be the first derivative of -2*r**5/25 + r**4/2 - 4*r**3/5 - 4*r**2/5 + 16*r/5 - 5. Let p(c) = 0. What is c?
-1, 2
Suppose 5*d - 14 = -3*b, 3*d + 43 - 5 = 4*b. Let r(h) be the first derivative of 1/2*h**4 - b*h + 2*h**3 + 0*h**2 - 2. Determine z, given that r(z) = 0.
-2, 1
Let w(c) be the second derivative of c**8/2240 - c**7/168 + 7*c**6/240 - 3*c**5/40 - c**4/3 + 2*c. Let o(p) be the third derivative of w(p). Factor o(r).
3*(r - 3)*(r - 1)**2
Let i(l) be the third derivative of l**8/840 - 4*l**7/525 + l**6/60 - l**5/75 + 13*l**2. Solve i(n) = 0.
0, 1, 2
Factor 0 - 2/3*p + 4/3*p**3 - p**4 + 5/3*p**2.
-p*(p - 2)*(p + 1)*(3*p - 1)/3
Let s(f) = f**4 + 4*f**3 + 2*f**2 - 18*f - 14. Let x(n) = n**2 - n + 1. Let u be (-9)/4 + 7/28. Let o(t) = u*x(t) + s(t). Factor o(j).
(j - 2)*(j + 2)**3
Let k(p) be the third derivative of 0*p**4 + 0*p**7 + 2*p**2 + 0*p**3 + 0 + 1/195*p**5 + 0*p + 1/2184*p**8 - 1/260*p**6. Factor k(j).
2*j**2*(j - 1)**2*(j + 2)/13
Let c be (-15)/100*10/(-18). Let s(q) be the second derivative of 0 + 1/8*q**2 - 1/16*q**4 - c*q**3 + q. Let s(z) = 0. Calculate z.
-1, 1/3
Let j(a) be the first derivative of 21*a**5/40 + a**4/4 + 2*a + 3. Let k(w) be the first derivative of j(w). Suppose k(l) = 0. Calculate l.
-2/7, 0
Let v(y) = y**2 - 9*y + 12. Let w be v(9). Suppose -2*m + 6*m = w. Factor -44/3*z**2 - 16*z**m - 16/3*z - 2/3 - 6*z**4.
-2*(z + 1)**2*(3*z + 1)**2/3
Let t be 9/55 - 66/(-330). What is a in 6/11*a**2 - t + 10/11*a = 0?
-2, 1/3
Let w = 307 - 1227/4. Factor 0 - 1/4*i - w*i**2.
-i*(i + 1)/4
Let k be 6/15 + 154/315. Let 8/9 + k*o + 2/9*o**2 = 0. What is o?
-2
Let a(p) be the third derivative of -p**6/90 - p**5/15 - p**4/6 - 4*p**3/3 - 8*p**2. Let z(v) be the first derivative of a(v). Factor z(c).
-4*(c + 1)**2
Let u(o) be the first derivative of 0*o + 2 + 2/27*o**3 + 2/45*o**5 + 0*o**2 + 1/9*o**4. Let u(c) = 0. What is c?
-1, 0
Let y(a) = 2*a**2 + a. Let h be y(1). Factor 2*n**3 - n**h + 3*n**4 + n**2 + 2*n**3 + n**5.
n**2*(n + 1)**3
Let d(x) = 7*x**3 + 7*x**2 + 3*x - 7. Let o(h) = h**3 + h**2 + h - 1. Let v(t) = d(t) - 5*o(t). Factor v(z).
2*(z - 1)*(z + 1)**2
Let h be (6 - 3)*((-5)/(-3) - 1). Let p(a) be the first derivative of 2/3*a**3 - 3 + 1/3*a + 1/15*a**5 + 1/3*a**4 + 2/3*a**h. What is i in p(i) = 0?
-1
Let d(n) be the second derivative of -n**4/12 + 5*n**3/6 + 4*n**2 + 3*n. Let m be d(6). What is f in f**2 + 1 - m*f**2 + 0 = 0?
-1, 1
Suppose -4*p + 3 = -5. Let -3 + 2*j**p + 4 + 1 + 4*j = 0. What is j?
-1
Let u = 26 - 11. Let l be (-429)/(-60) + u/(-20). Suppose -48/5*s**2 - 18/5*s - l*s**3 - 2/5 = 0. Calculate s.
-1, -1/4
Factor 630*c - 636*c - 6*c**2 + 4 + 5 + 3*c**2.
-3*(c - 1)*(c + 3)
Let p(b) = -6*b**2 + 14*b - 8. Let l(y) = -5*y**2 + 14*y - 9. Let z(a) = 4*l(a) - 3*p(a). Find q such that z(q) = 0.
1, 6
Let t(a) be the third derivative of -a**8/10080 + a**7/3780 + a**4/24 - 4*a**2. Let h(n) be the second derivative of t(n). Determine c so that h(c) = 0.
0, 1
Let q(t) be the third derivative of -t**8/1680 - t**3/3 + t**2. Let n(o) be the first derivative of q(o). Factor n(s).
-s**4
Let k(h) = -h**3 - h**2 - h - 1. Let c(b) = -25*b**3 - 25*b**2 + 10*b - 20. Let p(d) = c(d) - 20*k(d). What is x in p(x) = 0?
-3, 0, 2
Let q(z) = -z**4 - z**2 + 1. Let o(x) = 2*x**4 + x**3 + 3*x**2 - 3. Suppose 4*u - u = -9. Let l(d) = u*q(d) - o(d). Factor l(k).
k**3*(k - 1)
Let h be 1*11*(-1 + 0). Let i = -8 - h. Find y such that -y**3 + 3*y**5 - y**i - 3*y**5 + 2*y**5 = 0.
-1, 0, 1
Factor -a**2 - 19 - 11 - 17 - 8*a + 40.
-(a + 1)*(a + 7)
Let p be 64/20 + (4 - (7 + -1)). Let a(x) be the first derivative of -13/15*x**3 - p*x**2 - 3/10*x**4 - 4/5*x - 1 - 1/25*x**5. Find g such that a(g) = 0.
-2, -1
Factor -14*p**2 - 7*p**4 - 28*p**3 + 3*p**4 - 10*p**2.
-4*p**2*(p + 1)*(p + 6)
Factor 4*x**4 - 5*x**4 - 69*x - x**3 + 69*x.
-x**3*(x + 1)
Let d(o) = 2*o - 4. Let w be d(3). Suppose 2/7 + 0*h - 2/7*h**w = 0. What is h?
-1, 1
Let h(x) be the first derivative of 3*x**4/2 - 3*x**3 + 3*x + 5. Determine o, given that h(o) = 0.
-1/2, 1
Let b(l) be the first derivative of -1/18*l**4 + 0*l**2 - 3 - 8/9*l + 2/9*l**3. Factor b(j).
-2*(j - 2)**2*(j + 1)/9
Let s(z) = z**3 - 3*z**2 + z + 1. Let h be s(3). Suppose -x = -5*j - 0*j + 3, h*x - j - 7 = 0. Find i, given that -2*i**3 + 4*i**x - 4*i + 0*i**2 + 2*i**2 = 0.
0, 1, 2
Let i(g) = 0*g**2 - g + 2 - 4*g + 12*g**2 + g. Let c(r) = 11*r**2 - 3*r + 1. Let s(z) = 6*c(z) - 5*i(z). Determine q, given that s(q) = 0.
-1, 2/3
Let g(s) = -95*s**3 + 39*s**2 + 48*s + 5. Suppose -5*o - 6 - 9 = 0. Let u(t) = 191*t**3 - 79*t**2 - 96*t - 11. Let n(p) = o*u(p) - 5*g(p). Factor n(a).
-2*(a - 1)*(7*a + 2)**2
Let i(z) be the second derivative of -z**6/50 + 3*z**4/20 + z**3/5 - 18*z. Factor i(u).
-3*u*(u - 2)*(u + 1)**2/5
Determine a, given that 36*a + 30*a - 20*a**2 + 9*a - 24 - 7*a = 0.
2/5, 3
Let z(h) = h**3 + 45*h**2 + 85*h - 40. Let s be z(-43). Find m such that 2/5*m**s + 2/5 + 6/5*m**2 + 6/5*m = 0.
-1
Let d(p) be the second derivative of p**4/54 + 10*p**3/27 + 25*p**2/9 + 17*p. What is s in d(s) = 0?
-5
Let t(x) = 4*x**2 - 2*x + 2. Let b = -3 + 5. Suppose 4*d - 5*d = b. Let g(p) = -9*p**2 + 5*p - 5. Let j(u) = d*g(u) - 5*t(u). Suppose j(m) = 0. What is m?
0
Solve -6*h**4 - 9*h**5 + 12*h**2 - 21*h + 22*h**3 + 3 - 9 + 20*h**3 - 12*h**5 = 0 for h.
-1, -2/7, 1
Determine r so that 0 + 0*r - 2/9*r**2 = 0.
0
Let x(i) be the third derivative of -i**6/180 + 3*i**5/80 - i**4/24 + 2*i**3/3 - 2*i**2. Let m(q) be the first derivative of x(q). Suppose m(z) = 0. What is z?
1/4, 2
Let z**2 + 1/3*z**4 + z**3 + 1/3*z + 0 = 0. Calculate z.
-1, 0
Factor -27 + 4*g + 2*g**2 + 27 + 10*g**2.
4*g*(3*g + 1)
Let -405/2*g**2 - 5/2 + 45*g = 0. What is g?
1/9
Factor 2*m - 4*m**2 + 5 - 5 + 2*m**3.
2*m*(m - 1)**2
Let o(j) be the third derivative of -j**8/1512 + j**7/189 - j**6/60 + 7*j**5/270 - j**4/54 - 4*j**2. Factor o(i).
-2*i*(i - 2)*(i - 1)**3/9
Let t(f) = f**3 - f**2 + f. Let u(y) = -8*y**3 + 12*y**2 - 12*y - 2. Let b(j) = -10*t(j) - u(j). Factor b(z).
-2*(z - 1)*(z + 1)**2
Let t(q) be the first derivative of -q**6/18 - 2*q**5/15 + q**4/12 + 2*q**3/9 + 4. Determine z, given that t(z) = 0.
-2, -1, 0, 1
Let z(b) be the first derivative of 4 - b - 3/4*b**2 - 1/6*b**3. Factor z(x).
-(x + 1)*(x + 2)/2
Let f(c) be the second derivative of c**4/12 + 4*c**3/3 + 35*c. Determine g, given that f(g) = 0.
-8, 0
Suppose 30*i**2 + 2*i - 47*i**3 + 202*i**3 + 60*i**4 - 2*i - 25*i**5 - 40*i = 0. What is i?
-1, 0, 2/5, 4
Let k(b) be the first derivative of 0*b + 4/3*b**3 - b**4 + 4*b**2 - 8. Factor k(x).
-4*x*(x - 2)*(x + 1)
Let o be 4*(0/3 - 5/(-10)). Let