tive of 1/18*l**4 + 0*l**3 + 2/15*l**h + 0 + 1/15*l**6 + l + 0*l**2. Factor n(g).
2*g**2*(g + 1)*(3*g + 1)/3
Let t(m) = 4*m**2 + 32. Let a(b) = b + 1. Let h(y) = 16*a(y) - t(y). Factor h(z).
-4*(z - 2)**2
Let w be (2/54)/(2 + 11/(-6)). Suppose 2/3*a**2 + 0 + w*a = 0. What is a?
-1/3, 0
Let y(q) be the second derivative of -q**5/35 + 11*q**4/21 - 16*q**3/7 - 72*q**2/7 - 4*q - 2. Let y(o) = 0. Calculate o.
-1, 6
Suppose -v + o + 3 = -0*o, -4*v + 5*o + 13 = 0. Let s(p) be the first derivative of -v + 1/2*p**2 + 1/4*p**4 - 2/3*p**3 + 0*p. Factor s(i).
i*(i - 1)**2
Let x be (-2*(-9)/12)/(5 - 2). Let 0 - 3*r**2 + 9/2*r + x*r**3 = 0. What is r?
0, 3
Let h(g) be the second derivative of g**7/280 - g**6/240 - g**5/240 + 3*g**2/2 + g. Let w(y) be the first derivative of h(y). Factor w(x).
x**2*(x - 1)*(3*x + 1)/4
Let l = 0 + -1. Let n(q) = -q + 1. Let a(f) = -f**2 - 4*f + 6. Let i(o) = l*a(o) + 6*n(o). What is h in i(h) = 0?
0, 2
Let a = 24 + -17. Let b(r) be the third derivative of 1/210*r**a + 1/96*r**6 - 2*r**2 + 0 + 0*r**4 + 0*r**3 + 0*r + 1/240*r**5. Factor b(o).
o**2*(o + 1)*(4*o + 1)/4
Let i(v) = 4*v**3 + v**2 - 2*v + 1. Let m be i(1). Suppose 2*y = m*y - 4. Factor -4/5 + 2/5*u**y + 2/5*u.
2*(u - 1)*(u + 2)/5
Suppose 0 = -2*u + 10, o + 3 = -u + 27. Suppose -3 = y + h, 2*y - 3*h = -0*h + o. Find w such that 0 - 22/3*w**y + 4/3*w + 14/3*w**3 + 40/3*w**4 = 0.
-1, 0, 1/4, 2/5
Let l(u) = 2*u**3 - u**2 + u + 1. Let n(f) = -11*f**3 - 3*f**2 - 18*f - 11. Let s(j) = -5*l(j) - n(j). Factor s(z).
(z + 1)**2*(z + 6)
Suppose -g = -5*n + 7*n, 0 = 3*g. Let 9/2 - 3*m**2 + n*m - 1/6*m**4 + 4/3*m**3 = 0. What is m?
-1, 3
Determine o so that 0 - 4/9*o**3 - 8/9*o**2 - 4/9*o = 0.
-1, 0
Let u(x) be the second derivative of -2*x**7/63 - 4*x**6/45 + 2*x**4/9 + 2*x**3/9 - 5*x. Factor u(l).
-4*l*(l - 1)*(l + 1)**3/3
Let w be (-4 + 1)*(-2 + 1). Suppose -7 + 10 = l. Find z, given that z**3 - 5*z**w + 3*z**l = 0.
0
Let n(q) be the first derivative of -5*q**3/3 - 30*q**2 - 180*q + 44. Determine a, given that n(a) = 0.
-6
Solve -2*w**2 + 100 - 100 = 0.
0
Factor 0 + 2/11*k**3 - 2/11*k + 0*k**2.
2*k*(k - 1)*(k + 1)/11
Suppose 7 = 4*b + 2*q + 3, 5*q + 29 = 3*b. Factor -8*c - b - 2*c**2 - 1 - 4.
-2*(c + 2)**2
Factor -9/2*z - 3*z**2 - 1/2*z**3 - 2.
-(z + 1)**2*(z + 4)/2
Factor -8*m + 11 + 13 + 162*m**3 - 23 + 21*m + 66*m**2 + 189*m**4 + 81*m**5.
(m + 1)*(3*m + 1)**4
Suppose 13 = 7*p + 13. Let k(y) be the second derivative of p - 3*y + 1/12*y**4 + 2/3*y**3 + 2*y**2. Let k(f) = 0. Calculate f.
-2
Let k(x) be the third derivative of 5*x**8/672 + 17*x**7/420 + 7*x**6/80 + 11*x**5/120 + x**4/24 - 11*x**2. Factor k(q).
q*(q + 1)**3*(5*q + 2)/2
Factor -1/6*l**4 - 1/3*l**3 - 1/6*l**2 + 0*l + 0.
-l**2*(l + 1)**2/6
Factor -o**3 - 5*o**2 - o**2 - o**3 - 2*o**2.
-2*o**2*(o + 4)
Let o = 10 - 9. Let t be o - (-4)/(-3 + 5). Determine a, given that -74/3*a**2 - 40/3*a - 8/3 - 20*a**t - 6*a**4 = 0.
-1, -2/3
Let l(h) = 7*h**2 + 3*h + 2. Let w(y) = -6*y**2 - 3*y - 3. Let k(n) = -3*l(n) - 2*w(n). Let b(a) = 26*a**2 + 9*a. Let d(q) = -6*b(q) - 17*k(q). Factor d(x).
-3*x*(x + 1)
Let m be ((-10)/(-30))/(2/18). Factor -3*k**m + 5*k + 3 - 3*k**2 - 2*k + 0*k**2.
-3*(k - 1)*(k + 1)**2
Factor 0 - 4/3*m**4 - 5/3*m**3 - 2/3*m**2 - 1/3*m**5 + 0*m.
-m**2*(m + 1)**2*(m + 2)/3
Suppose 21 + 3 = 3*c. Let s(v) be the third derivative of 1/24*v**4 - 1/60*v**6 - 1/30*v**5 + 0 + 1/6*v**3 + 1/336*v**c + 0*v + v**2 + 1/210*v**7. Factor s(a).
(a - 1)**2*(a + 1)**3
Let 12*v**3 - 5 + 2 + 4 - 4*v + 16*v**2 - 9 = 0. Calculate v.
-1, 2/3
Factor 12/5*t**2 - 2/5*t**3 + 0*t - 64/5.
-2*(t - 4)**2*(t + 2)/5
Let h(i) be the third derivative of -i**5/100 + i**4/15 - i**3/6 + 19*i**2. Factor h(v).
-(v - 1)*(3*v - 5)/5
Let t(i) be the third derivative of -i**6/240 - i**5/120 + i**4/48 + i**3/12 - 3*i**2. What is a in t(a) = 0?
-1, 1
Let q(o) be the first derivative of -o**5/25 - o**4/10 - o**3/15 - 6. Factor q(c).
-c**2*(c + 1)**2/5
Let v(a) = -a**5 - 4*a**4 - 4*a**3 + 4*a**2 + 3*a. Let s(t) = -2*t**5 - 5*t**4 - 5*t**3 + 4*t**2 + 4*t + 1. Let d(m) = -2*s(m) + 3*v(m). Factor d(k).
(k - 2)*(k - 1)**2*(k + 1)**2
Suppose -2*f + 37 = 5*z, 5*z = -f + 4*z + 11. Suppose -g + 5 = -f*g - 5*i, 3*g - 4*i = 25. Find m such that -3/2*m**g + 3/2*m + 3/2 - 3/2*m**2 = 0.
-1, 1
Let w(j) be the second derivative of -j**6/40 + j**4/8 - j**2/2 - 2*j. Let b(d) be the first derivative of w(d). Solve b(s) = 0.
-1, 0, 1
Let i(s) = -18*s**3 - 58*s**2 + 6*s + 6. Let z(k) = -18*k**3 - 59*k**2 + 7*k + 6. Let x(b) = -5*i(b) + 4*z(b). Factor x(j).
2*(j + 3)*(3*j - 1)*(3*j + 1)
Suppose 3*m - 97 = 2*y + 2*m, 0 = -3*y + m - 145. Let j be 0 + 2 + y/42. Determine x, given that -2/7*x**2 - 4/7 + j*x = 0.
1, 2
Suppose -5*f + 15 = 5*g, 5*g + 11 = 4*f - 1. Let w(p) = p - 3. Let j be w(5). Let -4*r**2 + 6*r - 2*r - j + r**f + r = 0. Calculate r.
1, 2
Let x(t) be the first derivative of -t**3/4 - 3*t**2/8 + 3*t/2 + 12. Suppose x(r) = 0. What is r?
-2, 1
Suppose -9*r + 8*r + 3*n = -11, -4*r = n - 5. Let o(v) be the second derivative of r*v**2 + 0 - 1/6*v**4 - 1/3*v**3 + 2*v. Find p, given that o(p) = 0.
-2, 1
Let q = 59/245 - 2/49. Factor 0 - q*g + 1/5*g**3 + 0*g**2.
g*(g - 1)*(g + 1)/5
Let 2/7*t**2 + 8/7*t + 8/7 = 0. Calculate t.
-2
Let b(t) be the third derivative of -t**7/140 + t**6/240 + t**5/60 - 22*t**2. Factor b(k).
-k**2*(k - 1)*(3*k + 2)/2
Let w(y) = 5*y**3 + 10*y**2 - 15*y + 4. Let r(m) = 30*m**3 + 60*m**2 - 90*m + 25. Let p(g) = 4*r(g) - 25*w(g). Let p(f) = 0. What is f?
-3, 0, 1
Let v = 981/2 - 489. Find l, given that 3/2*l**3 - 3/2*l + 3/2*l**2 - v = 0.
-1, 1
Let g be ((32/(-100))/(-1))/((-2)/(-5)). Let y(a) be the second derivative of 2*a - 8/5*a**2 - 1/50*a**5 - g*a**3 + 0 - 1/5*a**4. Factor y(r).
-2*(r + 2)**3/5
Let s(l) be the third derivative of -4/273*l**7 + 0*l + 8*l**2 + 1/60*l**6 - 1/195*l**5 + 0*l**4 + 0 + 0*l**3 + 3/728*l**8. Determine i so that s(i) = 0.
0, 2/9, 1
Factor 0 - 15/7*a**3 + 9/7*a**2 + 6/7*a.
-3*a*(a - 1)*(5*a + 2)/7
Suppose -n - 22 = -5*o - 0*n, 2*n - 12 = -4*o. What is i in -28*i**2 + 2*i**o - i**3 - i**3 + 26*i**2 + 2*i = 0?
-1, 0, 1
Let s(u) = 2*u**2 + 60*u - 124. Let r be s(-32). Find b, given that 18/5*b**2 - 6/5 + 39/5*b**3 - 9/5*b + 18/5*b**r = 0.
-1, -2/3, 1/2
Let k(l) be the first derivative of 1/3*l**6 + 0*l**2 + 1 + 1/2*l**4 + 0*l - 4/5*l**5 + 0*l**3. Factor k(o).
2*o**3*(o - 1)**2
Let n = -156479/240 - -652. Let j(a) be the third derivative of 0*a + 0*a**3 + 1/60*a**5 - 1/48*a**4 - a**2 + 0 - n*a**6. Factor j(t).
-t*(t - 1)**2/2
Factor 82*m**4 - 18*m**3 - 48*m**4 - 44*m**4 + 2*m - 6*m**2.
-2*m*(m + 1)**2*(5*m - 1)
Let p be ((-945)/2100)/((-2)/(16/6)). Suppose 4*w = 2*d - 10, 3*w - 20 = -0*w - 4*d. Solve 3/5*g**4 + 3/5*g**5 + w - p*g**3 + 0*g - 3/5*g**2 = 0 for g.
-1, 0, 1
Let f(v) be the third derivative of v**6/300 - v**5/50 - v**4/60 + v**3/5 + 19*v**2. What is b in f(b) = 0?
-1, 1, 3
Let a(o) be the second derivative of o**6/6 - 5*o**4/4 + 5*o**3/3 - 3*o. What is u in a(u) = 0?
-2, 0, 1
Let k(x) = -x + 13. Suppose -5*r = 20, 4*l - 6 = 3*l - r. Let a be k(l). Factor -2/9*h**a - 2/9*h**2 + 0 + 0*h.
-2*h**2*(h + 1)/9
Factor 2/11*b + 0 - 2/11*b**2.
-2*b*(b - 1)/11
Suppose 0 = 5*c - j - 16, -c + 0*c - j = -2. Factor -2*r - r**5 - 1 + r - r**4 + c*r**2 + 0*r + 2*r**3 - r**2.
-(r - 1)**2*(r + 1)**3
Factor 80/13*j - 32/13 - 50/13*j**2.
-2*(5*j - 4)**2/13
Let a(p) = -p**3 - 11*p**2 + p + 5. Let m be a(-11). Let w be 75/42 - m/(-4). Factor -w*b**2 - 2/7*b**3 + 0 + 0*b.
-2*b**2*(b + 1)/7
Factor 12*c**3 - 8*c**4 - 44*c**4 + 8*c**5 + 80*c**4.
4*c**3*(c + 3)*(2*c + 1)
Find d, given that 0 - 10/11*d**2 - 2/11*d**4 + 4/11*d + 8/11*d**3 = 0.
0, 1, 2
Let d(v) be the first derivative of 3*v**6/5 + 6*v**5/25 - 3*v**4/5 + 28. Suppose d(k) = 0. What is k?
-1, 0, 2/3
Suppose 3*g - 1 - 11 = 0. Suppose -g*t = -16 - 4. Factor 0*a + 8*a**3 - 16/3*a**2 - 4*a**4 + 2/3*a**t + 0.
2*a**2*(a - 2)**3/3
Let g(z) be the first derivative of -z**3/18 - 2*z**2/3 - 8*z/3 - 6. Factor g(a).
-(a + 4)**2/6
Let z = -166 - -665/4. Find d, given that -1/4*d - 1/2 + 1/2*d**2 + z*d**3 = 0.
-2, -1, 1
Let j(s) be the third derivative of s**6/30 + s**5/5 - s**4/6 - 2*s**3 - 12*s**2. Solve j(u) = 0 for u.
-3, -1, 1
Let m(s) = 3*s**2 - s + 1. Let b(c) = -c**3 - 10*c**2 + c + 