) be the second derivative of a**6/210 - a**4/42 + a**2/14 - 2*a. Factor b(s).
(s - 1)**2*(s + 1)**2/7
Let u(c) = -c**3 + 12*c**2 - 10*c - 8. Let l be u(11). Factor -3*p**l - 4*p**3 - 4 + 5*p**3 - 6*p**2 - 6*p + 2.
-2*(p + 1)**3
Let z(y) be the third derivative of -y**8/90720 - y**7/22680 - y**5/30 + 2*y**2. Let d(b) be the third derivative of z(b). Factor d(g).
-2*g*(g + 1)/9
Let r(v) = 2*v**2 - v - 3. Let n(h) = h**2 - h - 2. Let c = -5 + 8. Let y(q) = c*r(q) - 5*n(q). Factor y(w).
(w + 1)**2
Suppose 4*x - 8*x = 0. Let t = -4 - -6. Find p, given that -2/3*p**3 - 2/3*p**t + x*p + 0 = 0.
-1, 0
Suppose 11*z + 12 = 15*z. Suppose z*f + f = 16. Factor 0*v + 0*v**3 + 1/4 - 1/2*v**2 + 1/4*v**f.
(v - 1)**2*(v + 1)**2/4
Solve -2 - 2/5*x**2 - 12/5*x = 0.
-5, -1
Let a(z) = 3*z**3 + z**2 + 2*z - 2. Let w be a(1). Let h be 17/(-34) + 18/w. What is d in -1/4*d + 1/2*d**h - 1/2*d**2 + 0*d**3 + 0 + 1/4*d**5 = 0?
-1, 0, 1
Let v(n) = n**3 + 4*n**2 - 2. Let i be v(-4). Let a(t) = -t**2 + t - 7. Let l(r) = 1. Let s(d) = i*a(d) - 14*l(d). Factor s(x).
2*x*(x - 1)
Let z be 1352/144 - (-6)/4. Let -16/9*n + 0 - 44/3*n**3 + z*n**5 - 154/9*n**4 + 104/9*n**2 = 0. Calculate n.
-1, 0, 2/7, 2
Let m = 1/82 - -23/1476. Let u(j) be the third derivative of m*j**4 - 1/45*j**5 + 0 + 0*j**3 + 0*j - j**2. Factor u(f).
-2*f*(2*f - 1)/3
Suppose 20*y**4 - 30 + 3*y**3 + 19*y + 190*y**2 - 84*y - 118*y**3 = 0. What is y?
-1/4, 1, 2, 3
Find i such that -14/5*i - 8/5 + 4/5*i**2 = 0.
-1/2, 4
Let g(q) = -9*q**3 - 7*q**2 + 2*q - 4. Let u(m) = 8*m**3 + 6*m**2 - 2*m + 3. Let i(b) = 3*g(b) + 4*u(b). Let i(a) = 0. Calculate a.
-1, 0, 2/5
Factor -6/13*a - 2/13*a**3 + 6/13*a**2 + 2/13.
-2*(a - 1)**3/13
Let y = 1/32 + 59/160. Factor -8/5*c - 8/5 - y*c**2.
-2*(c + 2)**2/5
Let r(d) = -7*d + 2. Let v be r(2). Let j be (-2)/8*16/v. Find t such that 1/3*t**2 - j - 1/3*t + 1/3*t**3 = 0.
-1, 1
Solve 8/3*z - 2/3*z**2 - 2 = 0 for z.
1, 3
Solve 2/9*i**4 + 0*i + 0 + 0*i**3 - 2/9*i**2 = 0.
-1, 0, 1
Let n(h) be the second derivative of 5*h**7/294 + 9*h**6/70 + 5*h**5/14 + 3*h**4/7 + 4*h**3/21 + 10*h. What is d in n(d) = 0?
-2, -1, -2/5, 0
Let m(h) be the second derivative of h**5/10 + h**4/6 - h**3/3 - h**2 + h. Let m(q) = 0. Calculate q.
-1, 1
Let x(y) = 0 + 6 + 4*y + 2*y. Let i(g) = -g**2 - 7*g - 6. Let d(o) = 3*i(o) + 2*x(o). Factor d(t).
-3*(t + 1)*(t + 2)
Let m be (-3 + 26)*(-5)/(-4). Let x = 29 - m. Find u such that -3/4*u**2 - 3/4*u - x*u**3 - 1/4 = 0.
-1
Suppose j + n - 3 = 8, 2*n + 62 = 4*j. Suppose -4*c + j = 2. Determine d so that -4*d**5 - d**2 - d**4 + d**c + 2*d**2 + 3*d**5 = 0.
-1, 0, 1
Let b be 7/(84/8) - (-14)/(-30). Solve -b*n**3 + 0*n + 1/5*n**2 + 0 + 1/5*n**5 - 1/5*n**4 = 0.
-1, 0, 1
Let l = -127 - -131. Determine v, given that 2/9 - 4/3*v**3 + 2/9*v**l + 2/3*v**5 + 2/3*v - 4/9*v**2 = 0.
-1, -1/3, 1
Let b(l) be the first derivative of -2/3*l**3 + 0*l**2 + 3 + 0*l. Factor b(z).
-2*z**2
Let g = 18 - 15. Factor w**3 - 11 - 24*w + 23 + 9*w**2 + 5*w**3 - g*w**4.
-3*(w - 2)*(w - 1)**2*(w + 2)
Factor 2/3*z**2 + 4/3*z**3 - 1 - 4/3*z + 1/3*z**4.
(z - 1)*(z + 1)**2*(z + 3)/3
Let b(c) be the second derivative of -c**4/12 + c**3/6 + 4*c. Let n(v) = -2*v**3 + v**2 + v. Let y(d) = -b(d) - n(d). Find p such that y(p) = 0.
-1, 0, 1
Let b(a) be the second derivative of a**7/2 + 8*a**6/5 - 9*a**5/20 - 4*a**4 - 2*a**3 - 25*a. Suppose b(f) = 0. What is f?
-2, -1, -2/7, 0, 1
Let k be (9/((-324)/30))/((-1)/6). Let s(q) be the third derivative of 0 + 0*q + 1/20*q**k + 1/4*q**4 + 0*q**3 + 2*q**2. Let s(m) = 0. Calculate m.
-2, 0
Let b(q) be the first derivative of -1/8*q**4 + 1/16*q**5 + q**2 - 1/120*q**6 - 4 - 1/6*q**3 + q. Let y(x) be the first derivative of b(x). Factor y(l).
-(l - 2)**3*(l + 1)/4
Solve -1/7*d**3 - 25/7 - 11/7*d**2 - 5*d = 0 for d.
-5, -1
Suppose 0 = -2*v + 5*v + 36. Let i be (9/v)/(0 + -3). What is h in 0*h + 0 + 1/4*h**4 + 1/2*h**3 + i*h**2 = 0?
-1, 0
Let h = 141/2 + -70. What is t in -3/4*t + h*t**3 + 3/4*t**4 - 1/2*t**2 + 1/4*t**5 - 1/4 = 0?
-1, 1
Suppose 7*g = 4*g. Suppose o**2 + 1 - 3*o**2 + o**2 + g*o**2 = 0. Calculate o.
-1, 1
Let q(a) be the second derivative of -1/21*a**7 + 0*a**2 - 2/15*a**6 + 0*a**5 + a + 0 + 1/3*a**3 + 1/3*a**4. Solve q(j) = 0.
-1, 0, 1
Solve 4*h - 3 - 3*h**4 - h - 2*h**5 + 5*h**5 + 6*h**2 - 6*h**3 = 0 for h.
-1, 1
Suppose 4*v = 2*a + 8, 2*v + a = 3*a + 6. Let r be (v - 1)*(-4 + 3). Factor 0 + r*z + 2/5*z**2.
2*z**2/5
Let d(g) be the third derivative of 1/20*g**5 - 6*g**2 + 1/30*g**6 + 1/210*g**7 - 1/6*g**4 + 0 + 0*g - 2/3*g**3. Let d(o) = 0. What is o?
-2, -1, 1
Let d(a) be the second derivative of a**4/15 - 6*a**3/5 + 38*a. Factor d(w).
4*w*(w - 9)/5
Let t(r) be the first derivative of -r**4/24 - 3*r + 3. Let q(o) be the first derivative of t(o). Solve q(d) = 0.
0
Suppose -3*y + 21 = 2*d, 4 = 4*d - d - y. Suppose -l - 4*k + 3 = -13, 0 = -3*l + 4*k - 16. Solve l*u**2 + 1/3*u**d + 1/3*u**4 + 0*u + 0 = 0.
-1, 0
Let y(n) be the first derivative of -2*n**3/3 - 4*n**2 - 6*n + 6. Suppose y(u) = 0. Calculate u.
-3, -1
Let z = -5075/12298 - -2/559. Let a = 115/66 + z. Suppose -2/3*j**5 + a*j**4 + 4/3*j**3 - 16/3*j**2 - 4/3 + 14/3*j = 0. What is j?
-2, 1
Let y(t) be the second derivative of -t**7/105 - t**6/30 - t**5/30 - t**2/2 - t. Let w(o) be the first derivative of y(o). Determine g, given that w(g) = 0.
-1, 0
Let b(x) = -x**2 + 1. Let h(u) = -u**4 + 3*u**3 + 11*u**2 - 4*u - 11. Suppose 4*d + 2*f = 3*f + 88, -2*f + 110 = 5*d. Let l(q) = d*b(q) + 2*h(q). Factor l(a).
-2*a*(a - 2)**2*(a + 1)
Let c(p) be the second derivative of -p**6/60 + p**5/40 + p**4/24 - p**3/12 + 2*p. Factor c(s).
-s*(s - 1)**2*(s + 1)/2
Factor 2/3*o - 5/3*o**2 + 0 + 4/3*o**3 - 1/3*o**4.
-o*(o - 2)*(o - 1)**2/3
Suppose 0*d + 4*d - 8 = 0. Let a be (0 - d/(-4)) + 0. Factor 0 - a*u + u**2 + 3/2*u**3.
u*(u + 1)*(3*u - 1)/2
Let m = 9 + -6. What is v in 10*v**3 - 16*v**4 + 10*v + 8*v**2 - 8*v**5 - 6*v**2 - 12*v**m + 2 + 12*v**2 = 0?
-1, -1/2, 1
Let p(f) = -6*f**3 - f**2 + 7*f + 5. Let o(u) = -7*u**3 - u**2 + 8*u + 6. Let r(n) = 5*o(n) - 6*p(n). What is c in r(c) = 0?
-2, 0, 1
Suppose 2187/4*g**3 + 324*g + 729*g**2 + 48 = 0. Calculate g.
-4/9
Solve 3/8*n + 0*n**2 - 3/4*n**3 + 0*n**4 + 0 + 3/8*n**5 = 0 for n.
-1, 0, 1
Suppose m**2 - 1/4*m + 1/4*m**3 - 1 = 0. Calculate m.
-4, -1, 1
Let d = -2 + 2. Suppose d = -2*i + i. Factor -6*v**2 - 2*v + i*v + 4*v**2.
-2*v*(v + 1)
Let j = 131/1515 + -2/101. Let f(c) be the first derivative of -j*c**3 + 0*c - 2 - 1/10*c**2. Find r such that f(r) = 0.
-1, 0
Suppose 2*g + 9 = z + 1, -g = -z + 13. Factor -4 - 2*b**4 + 7*b - z*b**2 + 7*b + 0*b + 10*b**3.
-2*(b - 2)*(b - 1)**3
Let t(c) be the third derivative of -c**7/630 - c**6/36 - 13*c**5/180 + 5*c**4/6 - 2*c**3 + c**2 - 28. Determine g so that t(g) = 0.
-6, 1
Suppose -8 + 0 = -3*u + 5*h, 5*u = h + 28. Factor -2*m**5 + 4*m**2 - m**2 - m**2 + 6*m**4 + 0*m**4 - u*m**3.
-2*m**2*(m - 1)**3
Let r(f) = f**2 + 3*f - 4. Let c be r(-4). Let a be (30/(-27))/(-1) + c. Let 0 + 4/9*d + 2/3*d**3 + a*d**2 = 0. What is d?
-1, -2/3, 0
Let t(j) = 3*j**2 + 11*j - 27. Let q(v) = -v**2 + v - 1. Let l(o) = -5*q(o) - t(o). Suppose l(r) = 0. What is r?
4
Let y(o) = o**2 - 2*o - 4. Let n be y(4). Find l, given that -n*l**3 - 1 - 6*l**2 + 2*l**4 + 0 + 5 + 4 + 8*l = 0.
-1, 2
Let d = 128/3 + -42. Let l = 1 - d. Factor l*n - 1/3*n**2 + 1/3*n**4 + 0 - 1/3*n**3.
n*(n - 1)**2*(n + 1)/3
Let w be (-1 + 3)/(1/(-4)). Let s = -6 - w. Determine d, given that -2*d**s + 2*d**4 + d**3 - 5*d**3 - 4*d**4 = 0.
-1, 0
Let j(f) be the second derivative of -f**7/168 + f**6/20 - 7*f**5/80 - 3*f**4/8 + 11*f**3/6 - 3*f**2 + 13*f. Determine d so that j(d) = 0.
-2, 1, 2, 3
Let k = 3/2 + -1. Suppose -4*a = -5*c + 10, 4*a - 3*c = -1 - 5. Factor 1/2*o**5 + a*o**3 - k*o + o**4 - o**2 + 0.
o*(o - 1)*(o + 1)**3/2
Let f(o) be the first derivative of o**4/14 - 12*o**2/7 + 32*o/7 + 46. Factor f(g).
2*(g - 2)**2*(g + 4)/7
Factor -4*f + f**3 + 1/4*f**4 + 0*f**2 - 4.
(f - 2)*(f + 2)**3/4
Let m(r) be the second derivative of r**7/14 - r**6/5 + 3*r**5/20 + 10*r. Solve m(w) = 0.
0, 1
Factor -8/5*i + 4/5*i**3 + 8/5 - 6/5*i**2 + 2/5*i**4.
2*(i - 1)**2*(i + 2)**2/5
Find o such that -2*o**4 + 20/3*o**3 + 40/9*o - 8/9 - 74/9*o**2 = 0.
2/3, 1
Let w be (250/(-190))/((-3)/5). Let k = w + 28/19