 = -12, -4*o - 2*x + 2 = 0. Let b(y) be the second derivative of 0*y**3 + 1/48*y**4 + 0 + y + 0*y**o. Factor b(d).
d**2/4
Let n(a) = a**3 + 11*a**2 + 3*a - 3. Let p be n(-5). Let s = p + -922/7. What is l in 6/7*l**2 - 8/7 - s*l**3 + 0*l = 0?
-1, 2
Let m be (-18)/12 - 4/((-24)/9). Suppose -4/9*c**3 + 0 + 2/9*c**4 + m*c**2 + 0*c = 0. Calculate c.
0, 2
Suppose -99*j = -97*j. What is d in -1/5*d**2 + j*d - 3/5*d**4 + 3/5*d**3 + 1/5*d**5 + 0 = 0?
0, 1
Find x such that 0*x**4 + 0 - 2/7*x**5 + 2/7*x**3 + 0*x + 0*x**2 = 0.
-1, 0, 1
Let s = 49/4 - 12. Let m(q) be the second derivative of 1/12*q**3 - s*q**2 + 0 - 2*q - 1/60*q**6 + 1/12*q**4 - 1/20*q**5 + 1/84*q**7. Factor m(y).
(y - 1)**3*(y + 1)**2/2
Suppose -3*z - 4 = -4*z. Find t, given that 1/4*t**z + 1/2*t + 0*t**2 - 1/2*t**3 - 1/4 = 0.
-1, 1
Let p be (0 - -2)/((36/15)/6). Determine k, given that -2/7*k**4 - 2/7*k**3 + 0*k + 2/7*k**2 + 0 + 2/7*k**p = 0.
-1, 0, 1
Suppose 8*k - 50/9*k**3 + 16/9 + 20/3*k**2 = 0. What is k?
-2/5, 2
Suppose -11*v + 1 + 21 = 0. Factor 0*l**2 - v*l**5 + 1/2*l**3 + 0 + 0*l - 3/2*l**4.
-l**3*(l + 1)*(4*l - 1)/2
Suppose -145 = -5*h - 7*b + 4*b, -113 = -4*h - 3*b. Solve 4*f - h*f**2 - 6*f**4 - 4*f - 8*f - 26*f**3 = 0 for f.
-2, -1/3, 0
Let w(c) = -5*c**5 + 5*c**4 - 15*c**3 + 5*c**2 - 2*c. Let q(b) = -11*b**5 + 9*b**4 - 31*b**3 + 9*b**2 - 4*b. Let a(k) = -3*q(k) + 7*w(k). Solve a(z) = 0.
0, 1
Suppose d - 11 = -2. Factor 37*z**3 + d*z**3 - 96*z**2 - 60*z + 18*z**3 - 8.
4*(z - 2)*(4*z + 1)**2
Suppose -4*g + 5 = -11. Find o such that 6 - 4*o**4 + 8*o**2 - 4*o**3 - 2*o**4 - 8 + g*o + 0 = 0.
-1, 1/3, 1
Let j(y) be the second derivative of y**5/20 + 3*y**4/2 + 27*y**3/2 + 14*y - 2. Factor j(g).
g*(g + 9)**2
Factor 2/5*t + 0 - 1/5*t**2.
-t*(t - 2)/5
Let n(v) = 5*v**3 + v - 4. Let h be n(2). Factor -82*t**2 + 41*t**2 - h*t**2 + 450*t**3 - 41*t**2 + 8*t.
2*t*(15*t - 2)**2
Let t be (-20)/9 + (-6)/(-27). Let v be (-5)/t*(-8)/(-5). Let -v + 3*d - 3*d**3 + 0*d**3 + d**2 + 3 = 0. What is d?
-1, 1/3, 1
Let c be (-3432)/(-1170) + 1 + (-1)/3. Factor 3/5*j**2 + 0 - 6/5*j + c*j**3.
3*j*(2*j - 1)*(3*j + 2)/5
Let i(w) = -w**2 - w - 1. Let x(r) = r**2 - 19*r - 14. Let f(d) = -6*i(d) - x(d). Determine c, given that f(c) = 0.
-4, -1
Let d(w) = 85*w**2 + 560*w + 510. Let s(r) = -5*r**2 - 33*r - 30. Let i(k) = -2*d(k) - 35*s(k). Factor i(t).
5*(t + 1)*(t + 6)
Let r(t) be the second derivative of 8*t**7/21 - 14*t**6/15 - 2*t**5/5 + 8*t**4/3 - 4*t**3/3 - 2*t**2 - 4*t. Factor r(f).
4*(f - 1)**3*(f + 1)*(4*f + 1)
Let h(l) be the second derivative of 1/6*l**3 + 0 - 1/40*l**5 + 0*l**2 - 1/24*l**4 + 5*l. Solve h(j) = 0.
-2, 0, 1
Suppose 2*w - 6 = 2. Let p(u) be the third derivative of 0*u + 0*u**3 - 1/300*u**6 + 0*u**5 + u**2 + 1/60*u**w + 0. Factor p(a).
-2*a*(a - 1)*(a + 1)/5
Let v(o) be the second derivative of o**7/210 - 7*o**6/360 - 7*o**5/60 - o**4/8 + 7*o**3/6 - 5*o. Let p(m) be the second derivative of v(m). Factor p(l).
(l - 3)*(l + 1)*(4*l + 1)
Let s(c) be the first derivative of 4 + 2*c + 2/27*c**3 + 2/3*c**2. Find o such that s(o) = 0.
-3
Let j be 4/(15/(-9) - -3). Let n be (j/1)/(15/10). What is g in -4/3*g - 2/3 + n*g**2 = 0?
-1/3, 1
Let h = -3 + 13. Suppose 0 = 4*q + 20, 5*q + 0*q = -5*m - h. Factor -1/3*i + 1/3*i**2 + 0 - 1/3*i**4 + 1/3*i**m.
-i*(i - 1)**2*(i + 1)/3
Suppose -5*u = -3*y + 1, 2*u + 3*y - 11 = -3*u. Let t be 2/(-24)*(u - 4). Determine p, given that 0 + 1/4*p - t*p**2 = 0.
0, 1
Factor 0 + 1/5*n + 6/5*n**3 + 4/5*n**4 + 1/5*n**5 + 4/5*n**2.
n*(n + 1)**4/5
Let 13*j**2 - 48*j**3 - 6*j + 20*j**2 - 10*j**4 + 31*j**4 = 0. Calculate j.
0, 2/7, 1
Factor -3/2*k + 0*k**2 + 0 + 3/2*k**3.
3*k*(k - 1)*(k + 1)/2
Factor -12*w**3 + 0*w**5 - 2*w**5 - 2*w**5 + 130*w**2 - 12*w**4 - 134*w**2.
-4*w**2*(w + 1)**3
Suppose 0*c + 2/5*c**2 - 2/5 = 0. Calculate c.
-1, 1
Suppose 16/15 - 8/5*n - 2/15*n**3 + 4/5*n**2 = 0. What is n?
2
Let v(f) = -f**2 + 2*f + 8. Let j be v(4). Let h(q) be the third derivative of -q**2 - 1/30*q**4 + 0*q + 1/150*q**5 + 0 + j*q**3. What is c in h(c) = 0?
0, 2
Factor 13*k**3 - 39*k**3 - 40 + 75*k + 11*k**3 - 30*k**2 + 10*k**3.
-5*(k - 1)**2*(k + 8)
Let k(v) = v + 10. Let z(y) = -y - 3. Let b be z(3). Let l be k(b). Factor 2*u**l - 5/2*u - u**2 + 2*u**3 + 1/2*u**5 - 1.
(u - 1)*(u + 1)**3*(u + 2)/2
Let n(l) be the third derivative of -l**6/60 + 3*l**5/70 - l**4/42 - 3*l**2. Determine b so that n(b) = 0.
0, 2/7, 1
Suppose -5*h + 2 - 17 = 0. Let a(z) = z**2 + 2*z. Let w be a(h). Factor 4*r**2 + 0*r**3 - 4*r**2 + 3*r**3 + w*r**2 - 3*r - 3*r**4.
-3*r*(r - 1)**2*(r + 1)
Let y = 1 + 1. Factor 2*h - h - 3*h**3 + 2*h**y + 4*h**3.
h*(h + 1)**2
Factor 0*f**3 - 1/6 + 1/3*f**2 - 1/6*f**4 + 0*f.
-(f - 1)**2*(f + 1)**2/6
Let v(r) be the second derivative of -r**6/105 + 2*r**5/35 - r**4/7 + 4*r**3/21 - r**2/7 - 6*r. Factor v(f).
-2*(f - 1)**4/7
Let d(z) be the third derivative of z**6/1200 - z**5/150 - z**4/240 + z**3/15 - 21*z**2. Factor d(i).
(i - 4)*(i - 1)*(i + 1)/10
Let x(s) be the third derivative of s**6/780 + s**5/195 + s**4/156 + 7*s**2. Find u such that x(u) = 0.
-1, 0
Let w = 5 - 1. Suppose -4 = 2*g - g - 3*m, -g - m = -w. Find h, given that -2*h - 2 + 4*h + 1 - h**g = 0.
1
Let l = -109/660 + 2/11. Let u(o) be the second derivative of 0 - 1/90*o**6 - l*o**5 - 2*o + 1/36*o**4 + 1/126*o**7 + 0*o**2 + 0*o**3. What is p in u(p) = 0?
-1, 0, 1
Let f(j) be the second derivative of -j**4/24 + j**2 - 44*j. Suppose f(g) = 0. What is g?
-2, 2
Suppose 0 = q + q - 5*u - 11, 0 = q + 3*u. Factor 0*d - 1/4*d**2 + 0 + 1/4*d**q.
d**2*(d - 1)/4
Suppose 2*m = 5*m - 33. Suppose 4*z = m - 3. Factor 0*n**2 + n + 2*n**2 + 0*n - 3*n**z.
-n*(n - 1)
Let w(d) = -27*d**3 - 2*d**2 - 8*d - 8. Let f(s) = -3*s**2 - 9*s**3 - 4 + 2*s**2 + 1 + 0 - 3*s. Let o(y) = 8*f(y) - 3*w(y). Let o(k) = 0. What is k?
0, 2/9
Let g(a) be the first derivative of a**9/1323 + a**8/735 + a**7/1470 + a**3 - 4. Let v(d) be the third derivative of g(d). Factor v(u).
4*u**3*(2*u + 1)**2/7
Suppose -6*u = -u - 25. Let x(i) be the second derivative of 0*i**3 + 0 - 1/54*i**4 + i - 1/45*i**u + 0*i**2. Factor x(h).
-2*h**2*(2*h + 1)/9
Let m(c) be the third derivative of 3*c**2 + 1/4*c**4 - 1/60*c**5 + 0*c - 3/2*c**3 + 0. Suppose m(r) = 0. What is r?
3
Suppose k - 4*k = 2*j, -2*j - 2*k = 0. Let o(u) be the first derivative of j*u**2 + 0*u**3 - 1/10*u**4 + 2/25*u**5 + 1 + 0*u. Find s such that o(s) = 0.
0, 1
Let q(j) be the third derivative of -j**8/240 - 3*j**7/280 - j**6/180 + j**3/3 + 2*j**2. Let t(g) be the first derivative of q(g). Factor t(c).
-c**2*(c + 1)*(7*c + 2)
Factor 9/4*k**5 - 33/4*k**4 + 9/4*k - 15/2*k**2 + 23/2*k**3 - 1/4.
(k - 1)**3*(3*k - 1)**2/4
Factor -3*n**5 - 6*n**4 - 4*n**2 - 10*n**3 - 2*n**4 + n**5.
-2*n**2*(n + 1)**2*(n + 2)
Let t be (2 - 8) + (-2)/2. Let u = t - -9. Find x such that 9*x**3 - 8*x**2 + 5*x**2 + 3*x**u - 12*x + 3*x**4 = 0.
-2, 0, 1
What is a in 1/3*a - 4/3*a**4 + 0*a**3 + a**2 + 0 = 0?
-1/2, 0, 1
Let i be 3/(-9) + 13/39. Factor 1/2*n**2 + i + 0*n - 1/4*n**3.
-n**2*(n - 2)/4
Let l(k) be the third derivative of k**5/60 + 27*k**2. Factor l(u).
u**2
Let n(j) be the first derivative of -j**6/9 - 4*j**5/15 + 4*j**3/9 + j**2/3 - 8. Factor n(a).
-2*a*(a - 1)*(a + 1)**3/3
Let m(d) be the third derivative of -d**4/24 - 2*d**3/3 + 7*d**2. Let u be m(-7). Solve -1/3*i + 0*i**2 + 0 + 1/3*i**u = 0.
-1, 0, 1
Suppose -42*w**2 + 42*w**2 - w**3 = 0. Calculate w.
0
Suppose -3*a + 8*a = -5*u, 0 = -3*u - a - 2. Let q be (-44)/(-12) - (u - -4). Determine d so that q*d**4 - 4/3*d - 2/3 + 4/3*d**3 + 0*d**2 = 0.
-1, 1
Let t(f) be the first derivative of 5*f**6/2 - 51*f**5/5 - 3*f**4 + 64*f**3 - 96*f**2 + 48*f - 13. Determine h, given that t(h) = 0.
-2, 2/5, 1, 2
Let o be (-3)/9 - (-532)/147 - 3. Suppose -3/7 + o*m + 1/7*m**2 = 0. What is m?
-3, 1
Let x(z) = -7*z**2 - 5*z**2 + 1 + 2*z - z**2 + 3. Let h(o) = -4 + 14*o**2 + 3*o**3 - 4*o**3 - 1 - 3*o. Let s(n) = -4*h(n) - 5*x(n). Let s(m) = 0. Calculate m.
-2, -1/4, 0
Factor 10/13*s - 2/13*s**2 - 8/13.
-2*(s - 4)*(s - 1)/13
Let j(l) be the second derivative of l**10/181440 - l**8/20160 + l**6/4320 - 5*l**4/12 - l. Let i(m) be the third derivative of j(m). Factor i(g).
g*(g - 1)**2*(g + 1)**2/6
Let y(p) be the second derivative of p**8/23520 - p**7/2940 + p**6/840 - p**5/420 + p**4/12 + 