 derivative of 5*a**6/24 + 3*a**5/4 + 5*a**4/8 + 29. Factor n(x).
5*x**3*(x + 1)*(x + 2)/4
Let n = 5 - 1. Let l(r) be the first derivative of 1 + 2/5*r**2 - 2/15*r**3 - 1/10*r**n + 0*r. Factor l(g).
-2*g*(g - 1)*(g + 2)/5
Let j = 1818289/521 - 3490. Let i = j + 2091/3647. Factor 10/7*p**3 - 18/7*p**2 - i - 2/7*p**4 + 2*p.
-2*(p - 2)*(p - 1)**3/7
Solve 28 - 16*j**3 - 8*j**2 + 20*j - 6*j**5 + 16*j**4 - 36 + 2*j**5 = 0.
-1, 1, 2
Factor 6/7*g - 3/7*g**3 - 3/7*g**2 + 0.
-3*g*(g - 1)*(g + 2)/7
Let p be ((-2)/(-12))/((-12)/(-360)). Factor -1/2 - 25/2*v**2 - p*v.
-(5*v + 1)**2/2
Let i(u) = u**4 + 5*u**3 - 7*u**2 + u - 6. Let f(w) = -w**4 - 4*w**3 + 6*w**2 - w + 5. Let k(y) = 6*f(y) + 5*i(y). Factor k(g).
-g*(g - 1)**2*(g + 1)
Let z(n) be the third derivative of -7*n**2 + 1/420*n**6 + 2/35*n**5 + 0 + 0*n + 4/7*n**4 + 64/21*n**3. Factor z(c).
2*(c + 4)**3/7
Suppose -4*r + 25 - 9 = 0. Solve 4 - 8*u - r - 4 - 4 - 2*u**2 = 0.
-2
Suppose 0 = o + o - 8. Let r = o - 2. Determine s, given that 2*s**3 - s**5 - 3*s**3 + r*s**5 = 0.
-1, 0, 1
Let w = -7 - 1. Let u = w - -11. Factor 1/3*p**2 - 1/3*p**u + 1/3*p**5 - 1/3*p**4 + 0*p + 0.
p**2*(p - 1)**2*(p + 1)/3
Suppose 1 = 4*d + 5*z - 2*z, -3*z - 3 = 0. Suppose u - 1 - d = 0. Find t such that -2*t**4 + t**5 + 3*t**u + t**5 - t**2 - 10*t**3 + 16*t + 9 - 1 = 0.
-1, 2
Let z(h) be the second derivative of h**6/1260 - h**4/21 - h**3/2 + 5*h. Let s(w) be the second derivative of z(w). Factor s(q).
2*(q - 2)*(q + 2)/7
Suppose -5 - 7 = -4*g. Factor 0 + 27*u**3 - 1 + 3 - 23*u**2 - 7*u**g + u.
(u - 1)*(4*u + 1)*(5*u - 2)
Factor 56 + 0*t**2 - 26 - 25*t + 5*t**2.
5*(t - 3)*(t - 2)
Let a be 80/(-44) - 5*(-10)/25. What is w in a*w**4 + 6/11*w**2 - 6/11*w**3 + 0 - 2/11*w = 0?
0, 1
Let m(k) be the first derivative of -k**7/3780 - k**6/1620 + k**3 - 1. Let i(j) be the third derivative of m(j). Let i(o) = 0. What is o?
-1, 0
Factor -2/3*r**3 - 2/3*r**4 + 0*r + 0 + 0*r**2.
-2*r**3*(r + 1)/3
Factor 3*m**2 + 9*m - 5 + 14 + 3 + 3*m.
3*(m + 2)**2
What is n in -11 - 2 - 105*n**3 - 19*n**4 - 2 - 165*n**2 - 95*n - n**4 = 0?
-3, -1, -1/4
Let z(s) be the second derivative of s**7/21 + 2*s**6/15 + s**5/10 + 16*s. Find q, given that z(q) = 0.
-1, 0
Let p(d) = 2*d**3 - 2*d**2 - 2*d + 2. Let l = 2 - 9. Let o = 4 + l. Let z(b) = -2*b**3 + b**2 + 2*b - 1. Let c(n) = o*p(n) - 4*z(n). Factor c(f).
2*(f - 1)*(f + 1)**2
Let w(g) be the third derivative of 3/25*g**5 + 7/60*g**4 + 0 + 1/15*g**3 + 2*g**2 + 1/280*g**8 + 13/525*g**7 + 11/150*g**6 + 0*g. Suppose w(x) = 0. What is x?
-1, -1/3
Let o(b) be the third derivative of 1/12*b**4 - 5*b**2 - 1/15*b**5 + 0*b + 0 + 1/80*b**6 + 0*b**3. Factor o(c).
c*(c - 2)*(3*c - 2)/2
Let 4/3*o**3 + 0 - 2/3*o**4 + 2/3*o**2 - 4/3*o = 0. What is o?
-1, 0, 1, 2
Let z(p) be the second derivative of -p**6/40 + 3*p**5/20 - p**4/4 - 5*p**2/2 + p. Let i(a) be the first derivative of z(a). Factor i(q).
-3*q*(q - 2)*(q - 1)
Let j(q) be the first derivative of -20/21*q**3 + 4/7*q**2 - 2 + 0*q + 4/7*q**4 - 4/35*q**5. Factor j(c).
-4*c*(c - 2)*(c - 1)**2/7
Let x(f) be the third derivative of f**7/735 - f**5/210 + 4*f**2. Factor x(l).
2*l**2*(l - 1)*(l + 1)/7
Let m = -248 - -497/2. Factor -1/2*l**5 + l**3 - 1/2*l + l**2 - m - 1/2*l**4.
-(l - 1)**2*(l + 1)**3/2
Let y(h) = -h**2 + 16*h - 47. Let z(m) = -5*m**2 + 81*m - 234. Let d(l) = 11*y(l) - 2*z(l). Let d(n) = 0. What is n?
7
Let o(s) = -4*s**2 + 45*s - 77. Let d(t) = -2*t**2 + 22*t - 38. Let x(n) = 13*d(n) - 6*o(n). Find l, given that x(l) = 0.
4
Factor 0*c + 0 + 0*c**3 - 1/5*c**4 + 4/5*c**2.
-c**2*(c - 2)*(c + 2)/5
Let r(l) be the first derivative of 2 + 4/15*l**6 + l - 1/3*l**3 - l**2 + 3/2*l**4 - 11/10*l**5. Let t(j) be the first derivative of r(j). Factor t(z).
2*(z - 1)**3*(4*z + 1)
Let v = 517/3 + -171. Factor v*h**3 - 1/3 - 2/3*h**2 - 4/3*h + h**4.
(h - 1)*(h + 1)**2*(3*h + 1)/3
Suppose 3 = 2*y - 5. Suppose -y*w = w. Suppose 0 + 0*c**2 + w*c - 2/7*c**3 = 0. What is c?
0
Let l(n) be the first derivative of -n**7/1155 - n**6/660 - n**2/2 - 2. Let i(c) be the second derivative of l(c). Find q such that i(q) = 0.
-1, 0
Let a(f) = -f**3 + 4*f**2 - 2*f + 6. Let d be a(4). Let n be (-6 - 0)*d/15. Factor -2/5*l**2 + 2/5*l + n.
-2*(l - 2)*(l + 1)/5
Suppose 10*q**4 - 4*q**3 + 2*q**3 + 8*q + 8*q**2 - 24*q**3 = 0. Calculate q.
-2/5, 0, 1, 2
Let w = 185/34 + 18/17. Factor -w*r - 11/2*r**2 - 1.
-(r + 1)*(11*r + 2)/2
Let j(c) = c - 7. Let r be j(8). What is h in 2 + 1 - 2*h**2 - r = 0?
-1, 1
Let i(d) = 9*d**4 + 3*d**3 - 13*d - 4. Let v(g) = -g**2 + 5*g + 8. Let a be v(6). Let b(r) = 4*r**4 + 2*r**3 - 6*r - 2. Let x(p) = a*i(p) - 5*b(p). Factor x(h).
-2*(h - 1)*(h + 1)**3
Factor 1/2*v - 1/6*v**3 - 1/3 + 0*v**2.
-(v - 1)**2*(v + 2)/6
Let w(r) be the second derivative of -r**5/120 + 5*r**4/72 - 2*r**3/9 + r**2/3 + 5*r. Factor w(q).
-(q - 2)**2*(q - 1)/6
Find q, given that -1/3*q**5 - 2/3*q**2 + 3 - 14/3*q**3 + 5*q - 7/3*q**4 = 0.
-3, -1, 1
Let l(a) = a**4 + a. Let s(k) = k**4 - 4*k**3 - 4*k**2 + 2*k. Suppose 0 = 2*x + 2*r + 2, 3*r = -2*x - 2. Let i(n) = x*s(n) + 2*l(n). Factor i(u).
u**2*(u + 2)**2
Let r(i) be the third derivative of i**6/40 + 3*i**5/10 - 16*i**3 - 22*i**2. Factor r(n).
3*(n - 2)*(n + 4)**2
Solve -1/2*z**2 + 0 + 0*z - 1/2*z**3 + 1/2*z**4 + 1/2*z**5 = 0.
-1, 0, 1
Factor v**2 - 9/2 - 1/4*v**3 + 3/4*v.
-(v - 3)**2*(v + 2)/4
Let v(t) be the first derivative of -4*t**5/5 - 6*t**4 - 32*t**3/3 + 12*t**2 + 36*t - 6. Factor v(q).
-4*(q - 1)*(q + 1)*(q + 3)**2
Let l(m) be the second derivative of m**7/105 - m**6/25 + m**5/50 + m**4/10 - 2*m**3/15 - 8*m. Suppose l(r) = 0. What is r?
-1, 0, 1, 2
Let g be (-1)/(-3) + 1/(-3). Suppose -4*b + 0*b + 8 = g. Determine s so that -2*s**2 + 3*s**2 + 2*s + b - 1 = 0.
-1
Let u be (25/20 - 1)/(9/12). Factor 1/6*f**2 + 1/6 - u*f.
(f - 1)**2/6
Let z(v) be the third derivative of v**8/84 + 2*v**7/35 + v**6/10 + v**5/15 - 13*v**2. Determine f, given that z(f) = 0.
-1, 0
Let z(c) = c**3 + 30*c**2 - 97*c + 68. Let i be z(-33). Factor 0*q + 2/11*q**i + 0.
2*q**2/11
Let y(p) be the second derivative of -p**5/10 + p**3 - 2*p**2 + 21*p. Solve y(x) = 0 for x.
-2, 1
Let f(q) be the third derivative of 0*q + 0 + 3*q**2 + 0*q**4 + 0*q**3 - 1/10*q**5 + 1/40*q**6. Let f(v) = 0. What is v?
0, 2
Let d be (48/18 - 6)/(-2). Let j**3 + 2/3*j + d*j**2 + 0 - 1/3*j**4 - 1/3*j**5 = 0. Calculate j.
-1, 0, 2
Let g(a) be the third derivative of -3*a**6/10 + 2*a**5/5 - a**4/6 - 8*a**2. Factor g(h).
-4*h*(3*h - 1)**2
Let m(s) = s**5 + 7*s**4 + 17*s**3 + 7*s**2 - 2. Let n(j) = -j**5 + j**2 + 1. Let f(x) = 5*m(x) + 10*n(x). Solve f(o) = 0.
-1, 0, 9
Let n(v) be the first derivative of 5*v**6/6 + 11*v**5/4 - v**4/2 - 14*v**3/3 + 4*v**2 - 7*v + 2. Let f(r) be the first derivative of n(r). Factor f(m).
(m + 1)*(m + 2)*(5*m - 2)**2
Let w(j) be the second derivative of j**4/66 - 2*j**3/33 - 9*j. Factor w(u).
2*u*(u - 2)/11
Let p(r) be the third derivative of 2*r**5/15 + r**4/6 - 2*r**3 - 4*r**2. Find i, given that p(i) = 0.
-3/2, 1
Let k(t) be the second derivative of 3*t + 1/189*t**7 + 0*t**6 + 0 - 1/27*t**4 - 1/30*t**5 + 0*t**2 + 0*t**3. Suppose k(n) = 0. Calculate n.
-1, 0, 2
Let i = -5 + 18. Suppose j - i = -3*r, 2*j = 3*r - 14 + 4. Suppose 1 + 2*t**3 - 4*t**4 - 2*t + t**r + 2*t**4 = 0. What is t?
-1, 1
Let y = 40/13 + -161/65. Factor 2/5 + y*d**2 + d.
(d + 1)*(3*d + 2)/5
Let r(c) be the first derivative of -c**3/8 + 9*c**2/16 + 7. Factor r(d).
-3*d*(d - 3)/8
Suppose -l - 22 = 4*m, 0*m = -m - 2*l - 2. Let v be (m/(-4))/((-2)/(-4)). Determine s, given that 24/7*s**2 + 8/7*s + 18/7*s**v + 0 = 0.
-2/3, 0
Suppose -4 = 3*w + 2*k - 0, -4*k - 10 = 5*w. Suppose -t + 2 = t. Suppose -4*r - 2 + 4 + r**2 + w*r - t = 0. Calculate r.
1
Factor 2/13*s**2 + 2/13*s**5 + 0 + 6/13*s**3 + 0*s + 6/13*s**4.
2*s**2*(s + 1)**3/13
Let x(c) be the first derivative of -1 + 2/3*c**3 + 0*c**2 + 8/5*c**5 + 0*c + 5/2*c**4. Factor x(a).
2*a**2*(a + 1)*(4*a + 1)
Factor -24/5*p + 3/5*p**2 + 21/5.
3*(p - 7)*(p - 1)/5
Factor -3*w**2 - 1/2*w**3 + 15/2*w - 4.
-(w - 1)**2*(w + 8)/2
Let h = -36 - -39. Suppose -h*y = -6*y. Factor -1/3*p**4 - p**3 - p**2 + y - 1/3*p.
-p*(p + 1)**3/3
Let z be (-4 + 7/2)*-1. Let y(i) be the first derivative of -1 - z*i + 1/12*i**3 + 1/8*i**2. Factor y(q).
(q - 1)*(q + 2)/4
Let f(d) be the f