**5/4 + 5*b**4/12 - 5*b**3/6 - 11*b. Factor p(d).
-5*d*(d - 1)**2*(d + 1)
Let s(a) = a**3 - 4*a**2 + 4*a - 4. Let j be s(3). Let n be -3*-1*j/(-9). Solve -1/3*f - n*f**2 + 0 + 2/3*f**3 = 0.
-1/2, 0, 1
Let a(j) be the second derivative of -1/35*j**6 + 1/7*j**3 + 0 + 1/21*j**4 + j - 1/35*j**5 + 1/7*j**2 - 1/147*j**7. Let a(x) = 0. Calculate x.
-1, 1
Suppose 2*r = 2*k + r + 2, 4*k - 5*r = 2. Let v(i) = -16*i**3 - 7*i**2 + i + 7. Let g(j) = 8*j**3 + 4*j**2 - j - 3. Let l(m) = k*v(m) - 5*g(m). Factor l(f).
-(f + 1)*(2*f - 1)*(4*f + 1)
Let a(d) be the third derivative of -d**5/270 - 5*d**4/54 - 25*d**3/27 - 10*d**2. Factor a(f).
-2*(f + 5)**2/9
Factor 27/5*d**4 + 11*d**3 + 24/5*d + 53/5*d**2 + d**5 + 4/5.
(d + 1)**3*(d + 2)*(5*d + 2)/5
Let i(j) be the third derivative of -j**6/240 + j**5/30 - 5*j**4/48 + j**3/6 - 7*j**2. Factor i(d).
-(d - 2)*(d - 1)**2/2
Let f be (2/4)/(1/6). Find w, given that 0*w**3 + w**f + 2*w - 3*w**2 - 2 + w**4 - 7*w + 0 = 0.
-1, 2
Let j = 0 + 0. Let p(i) be the first derivative of j*i**2 - 2 + 0*i + 2/21*i**3. Solve p(g) = 0 for g.
0
Let g(l) = 5*l**2 - 1. Let c be g(1). Let t be 3/(-18*(-1)/c). Factor 2/3*j**4 - 2/3*j + 0 + 2/3*j**3 - t*j**2.
2*j*(j - 1)*(j + 1)**2/3
Find j, given that -9*j**2 + 15/2*j**3 - 3/2*j**4 + 12 - 6*j = 0.
-1, 2
Let x(b) = b + 4. Let q be (5/10)/(2/(-8)). Let r be x(q). Factor 4/5*j**r + 0 + 0*j - 2/5*j**3.
-2*j**2*(j - 2)/5
Let n(u) be the first derivative of -u**6/105 - u**5/70 + u**4/21 + 3*u + 1. Let x(m) be the first derivative of n(m). Let x(j) = 0. Calculate j.
-2, 0, 1
Suppose -82*d + 0 + 2*d**2 + 76*d + 0 = 0. Calculate d.
0, 3
Let f be (-22)/40 + -2 + 44/16. Factor -1/5*d**4 + 0 + 1/5*d**2 - 1/5*d**3 + f*d.
-d*(d - 1)*(d + 1)**2/5
Let o = -278/47 - -9931/940. Let a = o + -17/4. Suppose 0 + 4/5*d**3 + 0*d**4 + 0*d**2 - 2/5*d - a*d**5 = 0. What is d?
-1, 0, 1
Let 17/2*g**4 - 3*g**3 + 0 - 7/2*g**2 + g + 7*g**5 = 0. What is g?
-1, 0, 2/7, 1/2
Let t be (28/252)/(1/48). Factor -1/3*i - 11*i**3 + 40/3*i**4 - t*i**5 + 10/3*i**2 + 0.
-i*(i - 1)**2*(4*i - 1)**2/3
Let y(p) = 7*p**2 - 3*p - 9. Let h(i) = -3*i**2 + 2*i + 5. Let w(c) = 9*h(c) + 4*y(c). Find b, given that w(b) = 0.
-3
Suppose 4/9*g + 2/9*g**2 - 16/9 = 0. What is g?
-4, 2
Let d be -2 + ((-625)/(-60))/5. Let r(t) be the second derivative of t + 0*t**2 - 1/40*t**5 + d*t**3 + 1/24*t**4 - 1/60*t**6 + 0. Factor r(b).
-b*(b - 1)*(b + 1)**2/2
Suppose 0 = -2*y - 3*g - 0 - 3, -3*y + 15 = -2*g. Factor -2*o**5 - y*o**5 - 5*o**3 - 16*o**4 + 2*o**2 - 4*o**5.
-o**2*(o + 1)**2*(9*o - 2)
Let u(d) be the third derivative of d**5/180 - d**4/24 + 5*d**2. Factor u(w).
w*(w - 3)/3
Let s(m) = -4*m - 2. Let l be s(-2). Let n be (12 - 0)*(-4)/(-8) + -3. Let 0*w**n + 0*w**4 - 3*w**4 + l*w**5 + 3*w**2 - 6*w**3 = 0. Calculate w.
-1, 0, 1/2, 1
Let d be (4/3)/((-4)/(-6)). Solve -10*i - 6*i**2 - 2 + 3 - 3 - d = 0 for i.
-1, -2/3
Let z(a) be the third derivative of -a**7/840 - a**6/60 - a**5/10 - 7*a**4/24 - 2*a**2. Let m(r) be the second derivative of z(r). Suppose m(v) = 0. What is v?
-2
Let l = 10 - 6. Let j(h) be the second derivative of 2*h + 0*h**3 - 1/40*h**5 + 0*h**2 - 1/24*h**l + 0. Determine n, given that j(n) = 0.
-1, 0
Let d be 6/8 - (-31)/(-4). Let n = -4 - d. Factor 0 + 0*r + 2/5*r**n + 0*r**2.
2*r**3/5
Let d be (-2)/(21*-16)*(-8)/(-10). Let k(g) be the third derivative of -1/42*g**4 - 1/21*g**3 + 0*g + 0 - d*g**5 + 2*g**2. Let k(n) = 0. What is n?
-1
Let b(y) be the second derivative of 2*y**7/21 + y**6/9 - 2*y**5/5 + 2*y**4/9 + y. Solve b(t) = 0.
-2, 0, 1/2, 2/3
Let a(b) be the third derivative of b**5/20 + 3*b**4/8 - 2*b**3 - 16*b**2. Factor a(t).
3*(t - 1)*(t + 4)
Let p(c) be the third derivative of c**9/20160 - c**7/3360 - 5*c**4/24 - 10*c**2. Let y(n) be the second derivative of p(n). What is m in y(m) = 0?
-1, 0, 1
Factor -2/7*q**3 + 72/7 + 26/7*q**2 - 96/7*q.
-2*(q - 6)**2*(q - 1)/7
Factor 33*k - 25*k**2 + 49 - 20*k - 193 - 133*k.
-(5*k + 12)**2
Let p = 109 + -105. Let d(l) be the second derivative of -1/2*l**2 + 1/2*l**3 - l + 1/3*l**p + 0. Solve d(f) = 0.
-1, 1/4
Let w(l) be the second derivative of -2*l + 1/16*l**4 + 0 - 1/8*l**3 + 0*l**2. Factor w(y).
3*y*(y - 1)/4
Suppose 1/4*p + 1/8 + 1/8*p**2 = 0. What is p?
-1
Let k(l) be the second derivative of -l**7/105 + l**6/20 - l**5/15 + 3*l**2/2 + 5*l. Let i(f) be the first derivative of k(f). Suppose i(g) = 0. Calculate g.
0, 1, 2
Solve 5*t**2 + 6*t**2 + 5*t**5 + t - 10*t**4 - t**2 - 6*t = 0 for t.
-1, 0, 1
Let p be (-6)/(-10)*(-100)/(-90). Let 8/3*w + 8/3*w**3 + p*w**4 + 4*w**2 + 2/3 = 0. What is w?
-1
Let k(o) be the second derivative of -2/3*o**3 + 13/48*o**4 + 0 + 2*o - 3/80*o**5 + 1/2*o**2. Determine a so that k(a) = 0.
1/3, 2
Solve 4/13*u**3 - 2*u**4 - 16/13*u + 24/13*u**2 + 12/13*u**5 + 2/13 = 0 for u.
-1, 1/6, 1
Let v(s) be the first derivative of -2*s**5/15 - 5*s**4/6 - 14*s**3/9 - s**2 - 9. Factor v(c).
-2*c*(c + 1)**2*(c + 3)/3
Let k(o) be the second derivative of o**6/15 + 7*o**5/50 + o**4/15 - 10*o. Suppose k(q) = 0. What is q?
-1, -2/5, 0
Let d(t) be the third derivative of -t**6/60 - t**5/30 + t**4/6 - 22*t**2. Factor d(i).
-2*i*(i - 1)*(i + 2)
Suppose 0 = 5*o - 5*w + 25, 3*w = 13*o - 11*o + 15. Determine k so that 8/5*k**4 - 2/5*k**5 + 4/5*k**2 + o*k + 0 - 2*k**3 = 0.
0, 1, 2
Suppose -6 = -g - 2*g. Suppose 0 = -3*i + 12 - 3. Let s**2 - i + 1 + s**g = 0. Calculate s.
-1, 1
Suppose 0 = -3*o + 15, -2*z - 5*o + 9 = -28. Factor -9*u**3 + 6*u**3 - 2 - 3*u**4 - z*u**3 + u**4 - 14*u**2 - 9*u.
-(u + 1)**2*(u + 2)*(2*u + 1)
Let j = 26 + -26. Let a(g) be the second derivative of 0 + 1/20*g**4 + 0*g**3 + 3*g + j*g**2. Factor a(x).
3*x**2/5
Let y(m) be the first derivative of 0*m**2 - 2 - 1/3*m**3 + 1/10*m**5 + 1/2*m + 0*m**4. Solve y(d) = 0 for d.
-1, 1
Let q(p) be the first derivative of p**8/5040 - p**7/1260 + p**6/1080 + p**3 - 4. Let i(w) be the third derivative of q(w). Factor i(u).
u**2*(u - 1)**2/3
Let f(z) = 2*z**4 - 12*z**3 - 12*z - 12. Let d(v) = -v**3 - v - 1. Let y(n) = 12*d(n) - f(n). Factor y(x).
-2*x**4
Let l = 41 + -36. Factor 0*s**2 + 0*s + 0 + 1/3*s**l + 1/3*s**4 + 0*s**3.
s**4*(s + 1)/3
Let s(z) be the first derivative of z**3/3 + z**2 - z + 6. Let x be s(1). Determine r so that 0 + 2/3*r**3 - 2/3*r + 0*r**x = 0.
-1, 0, 1
Let l(b) be the third derivative of b**8/1680 - b**6/120 + b**5/60 + b**3/2 + b**2. Let x(v) be the first derivative of l(v). Factor x(k).
k*(k - 1)**2*(k + 2)
Let n(p) be the third derivative of -p**8/1344 + p**7/840 + p**6/160 - p**5/48 + p**4/48 + 10*p**2. Determine i so that n(i) = 0.
-2, 0, 1
Suppose -3*l = -6*l - 18. Let u be (2/l)/(2/(-24)). Factor -8*m + 9*m**u - 30*m**3 + 1 + 6*m**3 + 5*m**2 + 17*m**2.
(m - 1)**2*(3*m - 1)**2
Find t, given that -2/3*t**4 - 2/3*t**5 + 2/3*t**3 + 0 + 0*t + 2/3*t**2 = 0.
-1, 0, 1
Let j(b) be the first derivative of -2*b**6/3 - 20. Solve j(q) = 0 for q.
0
Let k = 1224/5 - 244. Find n, given that -2/5*n**2 + k - 2/5*n = 0.
-2, 1
Find t such that 6*t - 3*t**2 - 2*t + t**2 = 0.
0, 2
Let u(i) be the second derivative of -i**6/225 + i**5/30 - i**4/15 - 4*i**3/45 + 8*i**2/15 + 9*i. Find h, given that u(h) = 0.
-1, 2
Suppose -3 = f - 7. Let i be (-9 - -3)/((-3)/f). Let n + n**4 + i*n**3 - 2*n**2 + 0 + 1 - 4*n**5 - 5*n = 0. Calculate n.
-1, 1/4, 1
Factor 45*x**4 + 31*x - 131*x + 9 + 11 - 150*x**3 + 185*x**2.
5*(x - 1)**2*(3*x - 2)**2
Let p be -1 - 1*52/(-20). What is k in p*k**2 + 8/5*k**3 + 0 + 2/5*k**4 + 0*k = 0?
-2, 0
Let y(q) = 3*q**2 + 16*q + 3. Let i(c) = -c**2 - 8*c - 1. Let t(r) = 5*i(r) + 3*y(r). Factor t(o).
4*(o + 1)**2
Let a(y) = y**2 - 5*y - 4. Let r be a(6). Suppose 2*u - j + 3 = -r, -3*u + 2*j - 10 = 0. Factor 1/3*v**4 - 1/3*v**2 + 1/3*v**3 + u - 1/3*v**5 + 0*v.
-v**2*(v - 1)**2*(v + 1)/3
Let v = -391/43 - -9. Let r = v + 106/215. Solve -2/5*k - 4/5*k**2 - r*k**3 + 0 = 0 for k.
-1, 0
Let a(i) be the second derivative of -i**6/300 + i**5/150 - 2*i**2 - 2*i. Let p(d) be the first derivative of a(d). Solve p(o) = 0 for o.
0, 1
Suppose -3*w - 1 + 28 = 0. Suppose 0 = h + 5*g - 3, -3*g = 3*h - 0*g - w. Factor -9*i**2 + h*i**3 + 0*i**5 + i**5 + 9*i**4 + 2*i**5 - 6*i.
3*i*(i - 1)*(i + 1)**2*(i + 2)
Suppose 2*i + 3*k = 0, -5 = 5*i - 4*i - k. Let q(s) = -3*s**2 + 6*s - 4. Let f(c) = -4*c**2 + 7*c - 4. Let r(j) = i*q