**7/1155 + a**5/165 + a**4/132 - 3*a**2. Let m(i) = 0. Calculate i.
-1, 0, 1
Suppose 3*n - 1 = 5. Let x(y) be the first derivative of 0*y - 1/6*y**2 - 1/9*y**3 - n. Factor x(s).
-s*(s + 1)/3
Let y be 1*(-2)/4*-10. Suppose 21*d**3 + 2*d**2 - 42*d**2 + 21*d**3 + 40*d**4 + 8*d + 0*d**4 - 50*d**y = 0. What is d?
-1, 0, 2/5, 1
Let u(b) be the first derivative of -b**2 + 0*b - 1 + 1/30*b**5 - 1/12*b**4 + 0*b**3. Let d(y) be the second derivative of u(y). Factor d(f).
2*f*(f - 1)
Let t(g) be the third derivative of 0*g**3 - 3*g**2 + 0*g + 0 - 1/180*g**5 + 0*g**4 + 1/360*g**6. Find a such that t(a) = 0.
0, 1
Let c(l) be the first derivative of -l**4 + 16*l**3/3 - 10*l**2 + 8*l + 33. Find u, given that c(u) = 0.
1, 2
Let o(r) be the first derivative of 2*r**5/25 + r**4/10 + 5. Factor o(p).
2*p**3*(p + 1)/5
Let j = -14 + 17. Let k(v) be the second derivative of 1/6*v**4 + 1/3*v**j - 2*v + 0 + 0*v**2. Factor k(u).
2*u*(u + 1)
Let d = -119/2 + 61. Let k(h) be the first derivative of -h - 5/8*h**4 - 7/4*h**2 - d*h**3 - 1/10*h**5 - 3. Factor k(p).
-(p + 1)**3*(p + 2)/2
Let n be -15*(7 + -4)/(-9). Factor 2/3*m**n + 4/3*m**4 - 2/3*m + 0*m**3 - 4/3*m**2 + 0.
2*m*(m - 1)*(m + 1)**3/3
Suppose -9 = 2*o + o. Let r(c) = -3*c**4 + 2*c**3 - 3*c**2 + 2*c. Let g(h) = 4*h**4 - 2*h**3 + 4*h**2 - 3*h. Let l(d) = o*r(d) - 2*g(d). Factor l(k).
k**2*(k - 1)**2
Find t such that -2*t**2 - 5/2*t - 1/2*t**3 - 1 = 0.
-2, -1
Let j(q) be the third derivative of -1/210*q**7 - 2/3*q**3 + q**2 + 1/20*q**5 + 1/60*q**6 + 0*q + 0 - 1/6*q**4. Factor j(h).
-(h - 2)**2*(h + 1)**2
Let b(w) be the third derivative of w**7/21 - 19*w**6/60 + 8*w**5/15 + w**4/3 + 7*w**2 - 6. Factor b(d).
2*d*(d - 2)**2*(5*d + 1)
Let j(d) = -d**2 - 11*d + 3. Let k be j(-11). Let z(h) be the first derivative of k - h - 2/3*h**3 + 1/8*h**4 + 5/4*h**2. Factor z(b).
(b - 2)*(b - 1)**2/2
Let q(a) be the second derivative of 1/33*a**3 - 4/165*a**6 + 0 - 2/33*a**4 + 4*a + 1/231*a**7 + 0*a**2 + 3/55*a**5. What is i in q(i) = 0?
0, 1
Let y be (-4 - -2) + 1 - -18. Determine u so that 0*u**2 - u**2 + y - 5 + 12*u + 4*u**2 = 0.
-2
Let o(a) = -7*a**3 - 5*a**2 + 5. Let j = 7 + -11. Let u = j - -9. Let h(g) = -3*g**3 - 2*g**2 + 2. Let d(t) = u*h(t) - 2*o(t). Factor d(b).
-b**3
Let n(j) be the third derivative of -j**6/60 - 2*j**5/15 - j**4/3 + 4*j**2. Determine f, given that n(f) = 0.
-2, 0
Factor 4*m**2 - m**2 - 3*m - 6*m**2.
-3*m*(m + 1)
Let o = -53 + 58. Let c(z) be the third derivative of 1/840*z**7 - 1/480*z**6 - 1/12*z**3 + 3*z**2 - 1/80*z**o + 0*z + 0 + 5/96*z**4. Factor c(t).
(t - 1)**3*(t + 2)/4
Factor 10/13*s + 4/13 + 8/13*s**2 + 2/13*s**3.
2*(s + 1)**2*(s + 2)/13
Let v = 0 - -4. Let q be (9 - v) + 3/(-1). Let -46/9*c**3 + 8/9*c**q + 40/9*c**5 + 2*c - 8/3*c**4 + 4/9 = 0. What is c?
-1/2, -2/5, 1
Let b(i) be the second derivative of -i**5/120 + i**4/48 - 3*i**2/2 - 2*i. Let v(y) be the first derivative of b(y). Determine j so that v(j) = 0.
0, 1
Let x(a) = a**2 - 8*a - 9. Let l be x(9). Suppose l*w = -4*w + 96. Find y, given that -16*y**3 - 5*y - 10*y**3 - 3*y - 12*y**4 - 2*y**5 - w*y**2 = 0.
-2, -1, 0
Let r(k) be the third derivative of -k**6/10 + 23*k**5/15 - 20*k**4/3 - 32*k**3/3 - 3*k**2. Let r(n) = 0. Calculate n.
-1/3, 4
Factor -4/3*d**2 + 2*d**3 - 4/3*d**4 + 0 + 1/3*d + 1/3*d**5.
d*(d - 1)**4/3
Suppose -3*m + 15 = 9. Factor -1/3*u + 1/3*u**4 - 1/3*u**m + 0 + 1/3*u**3.
u*(u - 1)*(u + 1)**2/3
Let t(c) be the third derivative of 0 + 0*c**3 + 1/60*c**4 - c**2 + 0*c - 1/150*c**5. Find n, given that t(n) = 0.
0, 1
Let l(w) = -w**3 - 2*w**2 - w + 2. Suppose g - 2 - 1 = 0. Let h(y) = -y**3 - 2*y**2 - y + 3. Let t(b) = g*l(b) - 2*h(b). Factor t(u).
-u*(u + 1)**2
Let f = 5 - 5. Suppose -5*s + 5 = 4*z - 18, -5*z - 2*s = -16. Find r, given that -1/4*r + f*r**4 + 1/2*r**3 + 0 + 0*r**z - 1/4*r**5 = 0.
-1, 0, 1
Suppose 0*b - 8 = -4*b. Let l(h) be the second derivative of -h - 1/4*h**3 - 1/24*h**4 + 0 - 1/2*h**b. Factor l(d).
-(d + 1)*(d + 2)/2
Let l(j) be the second derivative of j**4/4 - 13*j**3/2 + 18*j**2 - 4*j - 11. Suppose l(q) = 0. What is q?
1, 12
Let -2/11*d**2 + 0 - 8/11*d**3 + 0*d + 8/11*d**5 + 2/11*d**4 = 0. Calculate d.
-1, -1/4, 0, 1
Let y(b) = b**3 + 4*b**2 - b - 2. Let j be y(-4). Let n(d) = -d**3 - 14*d**2 - 15*d - 23. Let z be n(-13). Solve -1/3*q**z + 1/3*q - 1/3*q**j + 1/3 = 0.
-1, 1
Let q(c) = -c**2 + 10*c. Let z be q(10). Let b(n) be the second derivative of 0 + 0*n**4 + 2*n + 1/12*n**3 + z*n**2 - 1/40*n**5. Factor b(o).
-o*(o - 1)*(o + 1)/2
Let m(w) be the first derivative of 2 + 0*w**4 + 1/30*w**3 - 1/300*w**5 + 0*w + 1/2*w**2. Let l(p) be the second derivative of m(p). Let l(g) = 0. Calculate g.
-1, 1
Let l(d) be the first derivative of -10/21*d**3 - 8/7*d - 1/14*d**4 - 3 - 8/7*d**2. Factor l(p).
-2*(p + 1)*(p + 2)**2/7
Let s = -30/7 - -38/7. Factor s + 2/7*a**2 - 8/7*a.
2*(a - 2)**2/7
Let u(q) be the second derivative of -3*q**6/10 + 3*q**5/20 - 3*q. Factor u(k).
-3*k**3*(3*k - 1)
Let y(q) be the third derivative of -4/3*q**3 - 3*q**2 + 0 + 13/15*q**6 - 3/2*q**4 + 0*q - 4/35*q**7 + 0*q**5 - 3/28*q**8. Solve y(i) = 0.
-2, -1/3, 1
Let d be 130/238 - (-70)/(-595). Let 6/7 + 9/7*q - d*q**3 + 0*q**2 = 0. Calculate q.
-1, 2
Let v be (-4)/12 - (-32)/6. Let f = 16/3 - v. Find s such that -1/3 + 0*s + f*s**2 = 0.
-1, 1
Suppose 19*j - 22*j = 0. Let l(z) be the first derivative of -1/4*z**2 + j*z + 3 - 1/12*z**3. Factor l(q).
-q*(q + 2)/4
Let z(g) be the second derivative of -g**8/420 - g**7/105 - g**6/80 - g**5/120 - g**4/2 + 6*g. Let d(y) be the third derivative of z(y). Factor d(x).
-(x + 1)*(4*x + 1)**2
Let w(y) be the second derivative of -y**6/1440 + y**5/240 - y**4/96 - 4*y**3/3 - 9*y. Let a(f) be the second derivative of w(f). What is h in a(h) = 0?
1
Let j(o) be the second derivative of 3*o + 8/15*o**6 + 4/3*o**2 - 8/9*o**4 + 14/9*o**3 - 13/15*o**5 + 0. What is n in j(n) = 0?
-2/3, -1/4, 1
Let j(s) = 2*s - 18. Let o be j(9). Factor -1/3 + o*q + 1/3*q**2.
(q - 1)*(q + 1)/3
Let w(v) = -2*v**2 + 1. Let p(k) = -k**3 + k**2 - 1. Let a(j) = 5*p(j) + 5*w(j). Factor a(o).
-5*o**2*(o + 1)
Let z(n) be the third derivative of -3*n**8/28 + 5*n**7/14 - n**6/10 - 11*n**5/10 + 2*n**4 - 3*n**3/2 + n**2 + 3*n. What is s in z(s) = 0?
-1, 1/3, 3/4, 1
Let l be (-10)/(-1) + -4 + 2. Suppose 14 - l = 2*q. Let -2/3*d**4 - 8/3*d**q - 2*d**2 + 8/3 + 8/3*d = 0. What is d?
-2, -1, 1
Let d(y) be the third derivative of -y**7/70 + y**6/10 - 3*y**5/20 - y**4/2 + 2*y**3 - 2*y**2. Solve d(f) = 0.
-1, 1, 2
Let n be 0*(-1 + 9/6). Let d(p) be the second derivative of -3*p + 0*p**3 - 1/6*p**4 + 0 + n*p**2. Factor d(j).
-2*j**2
Let u(w) = -w**3 - 4*w**2 + 4*w - 3. Let o be u(-5). Factor -3 - 2*j**2 + 6*j + 2*j**2 - 2*j**o - 1.
-2*(j - 2)*(j - 1)
Let b(l) be the second derivative of -1/2*l**3 + 1/4*l**4 - 3*l**2 + l + 0. Solve b(o) = 0 for o.
-1, 2
Let s(m) = m**2 - 5*m. Let l be s(6). Let r(x) be the second derivative of 1/5*x**5 + 0*x**3 + x + 0 + 0*x**2 + 1/15*x**l + 0*x**4. Find q, given that r(q) = 0.
-2, 0
Let r = 438/5 - 87. Factor -r*s - 1/5*s**2 - 2/5.
-(s + 1)*(s + 2)/5
Suppose -2*x - 9 = 5*n - 4, -3 = x + 3*n. Factor 2/5*t**5 - 8/5*t**4 + 2/5*t + x + 12/5*t**3 - 8/5*t**2.
2*t*(t - 1)**4/5
Let r(o) be the second derivative of -1/2*o**5 - o - o**4 + 0*o**2 - 1/3*o**3 + 0. Factor r(v).
-2*v*(v + 1)*(5*v + 1)
Let p(u) be the second derivative of 1/4*u**5 - 6*u + 13/12*u**4 + 0 + 28/15*u**3 + 8/5*u**2. Factor p(r).
(r + 1)*(5*r + 4)**2/5
Let v be 24/(-14) + 4 - (-4)/(-2). Suppose -4/7*y**2 + 2/7 - 4/7*y**3 + 2/7*y**5 + v*y**4 + 2/7*y = 0. What is y?
-1, 1
Factor 1/10*o**5 - 1/5*o**3 + 1/10*o + 0 + 0*o**2 + 0*o**4.
o*(o - 1)**2*(o + 1)**2/10
Let s(v) be the third derivative of 0*v - 1/48*v**4 - 3*v**2 + 1/60*v**5 + 0 + 0*v**6 + 1/672*v**8 - 1/210*v**7 + 0*v**3. Solve s(u) = 0.
-1, 0, 1
Let f be (21/14)/(1 - 0). Factor -1/2*t**3 + f*t - 1 + 0*t**2.
-(t - 1)**2*(t + 2)/2
Let j(t) = -t**3 - 7*t**2 + 9*t + 10. Let b be j(-8). Let h(u) be the first derivative of -u**b - 2 + 1/3*u**3 + u. Factor h(n).
(n - 1)**2
Let z(t) be the third derivative of t**6/160 + t**5/80 - 4*t**2. Solve z(s) = 0.
-1, 0
Let q be 6*-1*(-8)/12. Factor -2/5*x**5 - 12/5*x**3 - 2/5*x + 0 - 8/5*x**q - 8/5*x**2.
-2*x*(x + 1)**4/5
Determine u so that 4/3*u + 0 - 1/6*u*