*-3. Let f be (5/((-15)/2))/s. Factor -1/3*h**5 + f*h**2 + 0*h + 0 + 1/3*h**3 - 1/3*h**4.
-h**2*(h - 1)*(h + 1)**2/3
Let g(f) = f**5 - f**4 + f**3 - f + 1. Let q(k) = 8*k**5 - 8*k**4 - 4*k**3 + 8*k**2. Let r(d) = -4*g(d) + q(d). Factor r(u).
4*(u - 1)**3*(u + 1)**2
Determine r, given that -6*r**4 + 0*r**3 - 5*r**5 + 2*r**3 - 4*r**3 + 13*r**4 = 0.
0, 2/5, 1
Let p = 17 - 47. Let w be (6/p)/(4/(-10)). Factor 1/2*u**4 - 1/2*u - 1/2*u**2 + 0 + w*u**3.
u*(u - 1)*(u + 1)**2/2
Let j(n) be the third derivative of -n**9/332640 + n**7/6930 + 2*n**5/15 - 3*n**2. Let v(s) be the third derivative of j(s). Find c such that v(c) = 0.
-2, 0, 2
Let g be (10/4)/(-1) - (-6 - -3). Factor -n**2 + 0 + g*n + 1/2*n**3.
n*(n - 1)**2/2
Suppose 0 = 2*f - 4*f + 10. Let d be f*((-1)/5 + 1). Let 2/9*y**5 + 0 + 4/9*y**d + 0*y**2 + 0*y + 2/9*y**3 = 0. What is y?
-1, 0
Let h(c) be the first derivative of -c**8/112 + c**7/70 - c**2/2 + 4. Let v(j) be the second derivative of h(j). Factor v(i).
-3*i**4*(i - 1)
Let b(l) be the second derivative of -2*l - 1/5*l**2 - 2/15*l**3 - 1/30*l**4 + 0. Factor b(d).
-2*(d + 1)**2/5
Let q(p) be the second derivative of 3/20*p**5 + 5/2*p**3 + 4*p + p**4 + 0 + 3*p**2. Factor q(l).
3*(l + 1)**2*(l + 2)
Let n(w) = -w**4 + 4*w**3 + 7*w**2 + 6*w + 4. Let f(x) = 2*x**4 - 7*x**3 - 13*x**2 - 11*x - 7. Let t(g) = 4*f(g) + 7*n(g). What is q in t(q) = 0?
-1, 0, 2
Let o(q) = 4*q + 12. Let n be o(-3). Find d, given that -3/2*d + 3/2*d**4 - 3/2*d**2 + 3/2*d**3 + n = 0.
-1, 0, 1
Let g = 3 - 0. Let u(n) be the second derivative of -1/30*n**6 + 0 - 1/3*n**3 - g*n + 0*n**2 + 1/12*n**4 - 1/42*n**7 + 3/20*n**5. Factor u(c).
-c*(c - 1)**2*(c + 1)*(c + 2)
Let w = -117 - -120. Suppose -7/5*y - 9/5*y**2 - 2/5 - y**w - 1/5*y**4 = 0. What is y?
-2, -1
Let s(a) be the second derivative of 5/42*a**4 + 0*a**2 + 2/21*a**3 + 2*a + 3/70*a**5 + 0. Find g, given that s(g) = 0.
-1, -2/3, 0
Let g(b) = -b**3 + 21*b**2 + b - 17. Let w be g(21). Factor 0 + 6*u**3 - w*u**2 + 2/3*u.
2*u*(3*u - 1)**2/3
Suppose 0 + 1 = t - a, 3*a - 17 = -2*t. Let w be (-3)/t*2/(-3). Factor 1/2*h**2 + w*h**3 + 0*h + 0.
h**2*(h + 1)/2
Let x be 4/(-2)*(-1)/(-2). Let t(g) = 4*g**2 + g + 1. Let d be t(x). Factor 2*l**3 + 14/5*l**d + 0 + 0*l + 2/5*l**2 + 6/5*l**5.
2*l**2*(l + 1)**2*(3*l + 1)/5
Let d be (-2 - 1) + (-13)/(-4). Let m be (1 + -1)*(-2)/(-4). Factor d*q + m - 1/4*q**3 + 0*q**2.
-q*(q - 1)*(q + 1)/4
Let s = -29 - -29. Let g(x) be the second derivative of 1/189*x**7 + 0 + 0*x**2 + 0*x**6 + 0*x**5 + 3*x + s*x**3 + 0*x**4. Solve g(r) = 0.
0
Let g(s) = 2 - 4 + 3. Let d(z) = z**2 - z + 2. Let y(j) = j**2 + 9*j + 7. Let u be y(-8). Let k(q) = u*d(q) + 2*g(q). Factor k(h).
-h*(h - 1)
Let h(n) be the second derivative of -n**4/42 + 10*n**3/21 - 25*n**2/7 - 72*n. Factor h(b).
-2*(b - 5)**2/7
Let v be 10/16*8/20. Let c(h) = h**3 - 5*h**2 + 4. Let t be c(5). Find j such that -t*j**2 - v + 2*j = 0.
1/4
Let o(x) be the first derivative of -2*x**5/45 - 5*x**4/18 - 16*x**3/27 - 4*x**2/9 + 9. Factor o(i).
-2*i*(i + 1)*(i + 2)**2/9
Suppose 0 = 5*f - 3*o - 15, -4*f - 6 = -6*f - 2*o. Let m = f - 1. Factor 2*p - p**2 + p + 4 + 2*p**m - 2.
(p + 1)*(p + 2)
Solve y**3 + 17*y + 64 + 2*y**2 + 9*y**2 + 63*y + 6*y**2 = 0.
-8, -1
Let i(b) be the second derivative of -b**5/100 + b**4/20 + b**3/30 - 3*b**2/10 + 7*b. Factor i(t).
-(t - 3)*(t - 1)*(t + 1)/5
Let z(v) = v + 13. Let d be z(-11). Suppose 0 = 4*a + d - 10. Factor -24/7*u**3 - 12/7*u - 8/7*u**4 - 2/7 - 26/7*u**a.
-2*(u + 1)**2*(2*u + 1)**2/7
Suppose 0 - 1/4*k**4 + 3/2*k**3 + 2*k - 3*k**2 = 0. Calculate k.
0, 2
Let r(b) be the third derivative of 2*b**6/225 - b**5/25 + 3*b**4/40 - 5*b**3/6 - 5*b**2. Let i(c) be the first derivative of r(c). Factor i(h).
(4*h - 3)**2/5
Let b = 9 - 4. Suppose 4*x - 17 = -b. Factor 1/3*a**2 - 4/3*a**5 + 0 - x*a**3 + 1/3*a + 11/3*a**4.
-a*(a - 1)**3*(4*a + 1)/3
Let f = -23 + 32. Let j = f - 5. Find o such that 0 + 0*o**2 + 0*o - 2/7*o**5 - 2/7*o**j + 0*o**3 = 0.
-1, 0
Let r(o) = 2*o**5 + 2*o**4 + 8*o**3 - 20*o**2 - 14*o + 10. Let t(g) = 4*g**5 + 5*g**4 + 15*g**3 - 40*g**2 - 27*g + 21. Let h(i) = 11*r(i) - 6*t(i). Factor h(z).
-2*(z - 1)**2*(z + 2)**3
Suppose 3*v = v + 4. Factor u + 3*u + 3*u - 5*u + v*u**2.
2*u*(u + 1)
Let a(w) be the second derivative of -6*w + 0*w**4 + 0*w**2 + 1/150*w**6 + 0*w**3 - 1/210*w**7 + 0*w**5 + 0. Factor a(y).
-y**4*(y - 1)/5
Let f(r) be the second derivative of r**8/3360 + r**7/420 + r**6/120 + r**5/60 - 5*r**4/12 - 5*r. Let j(t) be the third derivative of f(t). Factor j(b).
2*(b + 1)**3
Let l(n) = -n**4 - n**3 - n - 1. Let g(i) = -2*i**4 + 4*i**3 + 3*i**2 - 2*i + 1. Let x(s) = g(s) + l(s). What is v in x(v) = 0?
-1, 0, 1
Let r(i) be the third derivative of i**4/12 - 7*i**3/6 - 3*i**2. Let u be r(6). Suppose 6/5*d**2 + 3/5*d**u - 4/5*d**4 - 2/5 - 4/5*d**3 + 1/5*d = 0. What is d?
-1, -2/3, 1
Let x(o) be the third derivative of -35*o**6/96 - 19*o**5/24 - 17*o**4/24 - o**3/3 + 2*o**2. Factor x(g).
-(5*g + 2)**2*(7*g + 2)/4
Let v(f) = f**5 + f**4 + f**2 - f. Let l(y) = -692*y**5 + 2640*y**4 - 3304*y**3 + 1690*y**2 - 378*y + 32. Let i(d) = -l(d) - 6*v(d). What is t in i(t) = 0?
2/7, 1, 2
Let t(p) be the second derivative of -2*p**7/7 + 7*p**6/10 - 3*p**5/10 - p**4/4 + p. Let t(o) = 0. What is o?
-1/4, 0, 1
Let w = 4 + 1. Suppose w*f - f = 16. Find a, given that -2*a**4 + 3*a**4 + a**f = 0.
0
Let k(a) be the second derivative of -9*a**5/4 - 10*a**4 - 65*a**3/6 - 5*a**2 - 6*a. Find s, given that k(s) = 0.
-2, -1/3
Let n = 4 + -5. Let x be (-2)/n + (1 - 0). Factor -x*b**2 + 5*b - 4 + 3 - 1.
-(b - 1)*(3*b - 2)
Suppose -o - 4*o = k + 8, -3*k + 3*o + 66 = 0. Let t = k - 15. Determine b, given that 0*b + 2/3*b**3 + 2/3*b**t + 0 = 0.
-1, 0
Let f = 11 - -2. Suppose x = -f + 16. Factor -2/9*g - 2/3*g**2 - 2/9*g**4 - 2/3*g**x + 0.
-2*g*(g + 1)**3/9
Let h(s) be the second derivative of 1/84*s**4 - 1/210*s**5 + 1/1260*s**6 + 2*s + 1/6*s**3 + 0*s**2 + 0. Let y(k) be the second derivative of h(k). Factor y(z).
2*(z - 1)**2/7
Let u(q) be the second derivative of -3*q**5/4 - 3*q**4/4 + q**3/2 - 15*q**2/2 - q. Let o(i) = -i**3 - i**2 - 1. Let r(z) = -12*o(z) + u(z). Factor r(y).
-3*(y - 1)**2*(y + 1)
Factor -48*c**3 + 297*c + 12*c**3 - 152*c**2 - 437*c - 24.
-4*(c + 1)*(c + 3)*(9*c + 2)
Let n(f) be the second derivative of 3*f**5/20 + f**4/2 + f**3/2 - 14*f. Factor n(r).
3*r*(r + 1)**2
Let g(w) be the second derivative of -w**5/20 - 5*w**4/12 - 7*w**3/6 - 3*w**2/2 + 18*w. Factor g(v).
-(v + 1)**2*(v + 3)
Let q = -71/2 - -36. Solve 1/2*b - q*b**2 + 1 = 0 for b.
-1, 2
Let n(d) be the third derivative of -d**6/144 + d**5/72 + 5*d**4/144 - 5*d**3/36 - 22*d**2. Factor n(f).
-5*(f - 1)**2*(f + 1)/6
Let p(x) be the third derivative of -x**5/30 + x**4/8 + x**3/3 + 2*x**2. Factor p(k).
-(k - 2)*(2*k + 1)
Let a = 16 + -13. What is h in h**4 - 9*h**a + 6*h**2 + 2*h**4 + 0*h**4 = 0?
0, 1, 2
Let z be (-10)/12 + 46/12. Factor 96/7*r**2 + 2/7 - 72/7*r**z - 26/7*r.
-2*(r - 1)*(6*r - 1)**2/7
Suppose 12*r - 9*r**3 - 11*r**5 + 2*r**4 - 17*r**4 + 15*r**2 + 8*r**5 = 0. Calculate r.
-4, -1, 0, 1
Factor 2 + 59*c**2 - 57*c**2 - 6 + 2.
2*(c - 1)*(c + 1)
Let b be (-80)/75 - 28/(-20). Let m = 85/3 - 28. Solve 0 + 0*j + b*j**2 - m*j**3 = 0.
0, 1
Let p(v) be the third derivative of 0*v**3 + 1/12*v**5 + 1/30*v**6 + 0*v + 1/12*v**4 + 0 - 4*v**2 + 1/210*v**7. Determine y so that p(y) = 0.
-2, -1, 0
Let c(v) be the second derivative of 2*v + 3/2*v**2 - 7/8*v**4 + 0 - 5/4*v**3. Factor c(a).
-3*(a + 1)*(7*a - 2)/2
Suppose -1/2 - 1/2*k**2 + k = 0. What is k?
1
Let q(f) = -f**2 - 34*f - 168. Let i be q(-28). Determine k, given that 3/5*k**5 + 3/5*k**2 + 0 - 3/5*k**3 - 3/5*k**4 + i*k = 0.
-1, 0, 1
Let a = 228 + -225. Solve -2/9*w**a - 10/9*w + 4/9 + 8/9*w**2 = 0 for w.
1, 2
Factor 2*k**2 - 4 - 2*k**4 - 4*k**2 - 4*k**3 + 4.
-2*k**2*(k + 1)**2
Suppose 0 + 32/5*n**2 - 40*n**5 - 16/5*n - 28*n**4 + 108/5*n**3 = 0. What is n?
-1, -1/2, 0, 2/5
Let u(f) be the third derivative of f**6/30 - 4*f**5/15 + 2*f**4/3 - 12*f**2. Find l such that u(l) = 0.
0, 2
Factor -3 - 3/2*x**3 + 3/2*x + 3*x**2.
-3*(x - 2)*(x - 1)*(x + 1)/2
Let u(m) = m**3 - m**2 - 3*m + 1. Let g be u(3). Let x = g - 5. Let -2*d**5 - 3*d**x + 2*d**2 + 5*d**3 - 5*d**4 + 3*d**4 = 0. Calculate d.
-1, -2/5, 0, 1
Let