**2/5 - 4*r/15 + 23. Factor m(n).
-2*(n - 2)*(n - 1)/15
Suppose -4*l - 4*g - 76 = 0, -5*l - 119 = -g - 48. Let w = -13 - l. Solve 1/2*c**4 + 1/2*c - 1/2*c**w + 0 - 1/2*c**3 = 0.
-1, 0, 1
Let k(u) be the first derivative of -80*u**3/3 + 5*u + 8. Factor k(w).
-5*(4*w - 1)*(4*w + 1)
Let s(b) be the first derivative of 4/5*b - 16/25*b**5 + 8/5*b**2 - 4/5*b**4 + 4/5*b**3 - 3. Suppose s(j) = 0. Calculate j.
-1, -1/2, 1
Suppose 0 = -x - 4*g - 2, -3*x = 4*g - 1 - 1. Determine d so that -4*d**x - 10 + 2*d**2 + 10 = 0.
0
Let i be (2/(-8)*-4)/28. Let c(a) be the third derivative of -1/210*a**5 + 0 - 2*a**2 + i*a**4 + 0*a - 2/21*a**3. Determine j so that c(j) = 0.
1, 2
Suppose 2*w - 10 = 4*y, -35 = -5*w - 10. What is u in y*u**2 - 2/3*u**3 + 0 + 2/3*u**4 + 0*u = 0?
0, 1
Let c(n) be the first derivative of -3*n**4/4 + 3. Factor c(v).
-3*v**3
Let d be (0/(-3))/((-2)/1). Let t(j) be the third derivative of 0*j + 2*j**2 + 0*j**3 - 1/240*j**5 + 0*j**4 + d. Factor t(b).
-b**2/4
Let h(t) be the third derivative of t**8/112 + t**7/35 - 3*t**6/40 - t**5/5 + t**4/2 - 3*t**2. Determine g so that h(g) = 0.
-2, 0, 1
Suppose 3*q + 2*c = -c - 36, 0 = q - 4*c + 37. Let x = 17 + q. Solve 2/3*b**4 + x*b**2 - 2/3*b**3 + 0 + 0*b = 0 for b.
0, 1
Let a = 1/9 - -5/9. Let -2/3*l**5 + 4/3*l**2 + 4/3*l**3 - 2/3 - a*l**4 - 2/3*l = 0. What is l?
-1, 1
Let m(u) be the second derivative of u**9/52920 - u**8/23520 - u**7/8820 + u**6/2520 + u**4/12 + u. Let z(r) be the third derivative of m(r). Factor z(s).
2*s*(s - 1)**2*(s + 1)/7
Let h = 9 + -6. Factor -j**4 + 2*j + 3*j - 6*j + j**h + j**2.
-j*(j - 1)**2*(j + 1)
Suppose 0 = 3*f + 2*c - 5, -f - 5*c = -3*f + 35. Factor 0*b**5 - 4*b**5 + 4*b**4 + 2*b**f - 2*b**3 + 0*b**5.
-2*b**3*(b - 1)**2
Factor 4*q**2 + 1052 - 8*q - 1052.
4*q*(q - 2)
Let b(f) = -f**2 - 24*f + 56. Let w be b(-26). Factor 0*c - 1/4*c**5 - 1/4*c**3 + 1/2*c**w + 0 + 0*c**2.
-c**3*(c - 1)**2/4
Let a(s) be the second derivative of -3*s**5/20 + s**4/4 + s**3 - 9*s. Factor a(h).
-3*h*(h - 2)*(h + 1)
Let f(j) be the third derivative of -j**7/126 + j**6/15 - 2*j**5/15 + j**4/4 + 10*j**2. Let d(t) be the second derivative of f(t). Solve d(a) = 0 for a.
2/5, 2
Factor m**2 - 20*m + 24*m**3 + 8*m**4 - 7*m**2 - 6 + 0.
2*(m - 1)*(m + 3)*(2*m + 1)**2
Determine q, given that 9/4 + 10*q**2 - 4*q**3 - 33/4*q = 0.
3/4, 1
Let x(q) be the third derivative of q**8/84 - q**6/10 - 2*q**5/15 + 2*q**2. Factor x(s).
4*s**2*(s - 2)*(s + 1)**2
Let u be 18/(-63) - (-66)/(-14). Let i = 7 + u. Determine p so that -4/9 - 2/9*p + 2/9*p**i = 0.
-1, 2
Let r(o) be the second derivative of -o**5/20 - o**4/6 + 48*o. Suppose r(n) = 0. Calculate n.
-2, 0
Let a be -2*(-3)/(-24) + (-52)/(-16). Factor -2/5*v + 4/5 + 2/5*v**a - 4/5*v**2.
2*(v - 2)*(v - 1)*(v + 1)/5
Let n = -24 - -26. Let v(x) be the second derivative of 0*x**2 - n*x + 0*x**5 - 1/168*x**7 + 1/24*x**3 + 1/60*x**6 + 0 - 1/24*x**4. Factor v(p).
-p*(p - 1)**3*(p + 1)/4
Let p(g) be the first derivative of -3*g**4/20 - g**3/5 + 3*g**2/5 + 8. Factor p(s).
-3*s*(s - 1)*(s + 2)/5
Factor 0 + 6/5*s + 3/5*s**3 - 9/5*s**2.
3*s*(s - 2)*(s - 1)/5
Let d(f) = -51*f**2 + 100*f + 40. Let l(n) = 13*n**2 - 25*n - 10. Let c(p) = 2*d(p) + 9*l(p). Factor c(m).
5*(m - 2)*(3*m + 1)
Let c(i) = -i**2 - 1. Let b(o) = -2*o**2 - o - 1. Suppose -l + 2 = -3. Suppose -z + 8 = -5*z + 2*h, 0 = -3*z - 4*h + l. Let d(s) = z*b(s) + c(s). Factor d(t).
t*(t + 1)
Let s(o) be the second derivative of -o**4/3 - 2*o**3 + 8*o**2 + 7*o. Factor s(m).
-4*(m - 1)*(m + 4)
Let h(a) be the first derivative of -5*a**3/3 - 15*a**2/2 - 10*a - 46. Factor h(m).
-5*(m + 1)*(m + 2)
Let s(z) be the second derivative of 4*z**7/21 - 7*z**6/75 - 27*z**5/100 - z**4/60 + z**3/15 - 42*z. Let s(p) = 0. What is p?
-1/2, -2/5, 0, 1/4, 1
Let y(g) be the third derivative of g**10/453600 - g**8/20160 + g**7/7560 - g**5/30 + 5*g**2. Let o(v) be the third derivative of y(v). Let o(m) = 0. What is m?
-2, 0, 1
Let y = 40/19 + -23/38. Factor y*q**3 + 1/2*q**4 - 2*q + 0*q**2 + 0.
q*(q - 1)*(q + 2)**2/2
Determine x, given that 5*x**3 + 10*x**2 - 6*x**2 - 14*x**2 - 15*x = 0.
-1, 0, 3
Let m(x) be the third derivative of 0*x + 0 + 2*x**2 - 1/30*x**4 - 1/25*x**6 - 1/105*x**7 - 3/50*x**5 + 0*x**3. Factor m(y).
-2*y*(y + 1)**2*(5*y + 2)/5
Let s(j) be the first derivative of -j**3/27 - 7*j**2/18 + 8*j/9 + 3. Suppose s(a) = 0. What is a?
-8, 1
Let o(v) = v**2 - 22*v. Let f be o(22). Factor 1/2*g + 11/4*g**2 + f.
g*(11*g + 2)/4
Suppose -2*j + 4*v + 13 + 25 = 0, 0 = j + 3*v + 1. Suppose j + 4 = 5*r. What is b in 10*b**2 + 3*b**r - 6*b**3 - 8 - 2*b - 2*b = 0?
-2/3, 2
Let c(j) be the third derivative of -1/48*j**4 + 1/12*j**3 + 0*j + 6*j**2 - 1/120*j**5 + 1/240*j**6 + 0. Factor c(o).
(o - 1)**2*(o + 1)/2
Factor -23*z + 13*z + 2 + 10*z + z**2 + 3*z.
(z + 1)*(z + 2)
Determine v, given that 1/6*v**4 + 0*v + 1/3*v**2 - 1/2*v**3 + 0 = 0.
0, 1, 2
Let l(c) be the third derivative of -169*c**6/160 + 117*c**5/80 + 3*c**4/2 + c**3/2 + 14*c**2. Solve l(w) = 0.
-2/13, 1
Let z = 31 - 92/3. Let -2/3*o**2 + z*o**3 + 0 + 1/3*o = 0. Calculate o.
0, 1
Let k(n) = -n**2 - n. Let t(d) = -8*d**2 - 5*d + 3. Let j(s) = 18*k(s) - 2*t(s). Find q, given that j(q) = 0.
-3, -1
Let i = -6 - -8. Factor -t**i + 2*t + 4*t**2 + t.
3*t*(t + 1)
Let q(j) be the first derivative of j**4/2 + 3*j**2/2 - 1. Let u(d) = -d + 0*d - 2*d**3 + d**3. Let i(m) = q(m) + 3*u(m). Find r such that i(r) = 0.
0
Let g(x) be the third derivative of -3/10*x**5 + 0*x - 1/70*x**7 + 3*x**2 - 1/10*x**6 + 0 - 1/2*x**4 - 1/2*x**3. Solve g(n) = 0 for n.
-1
Factor q**2 - q**3 - 1/3*q + 1/3*q**4 + 0.
q*(q - 1)**3/3
Let l(v) = -v**5 - v**3 + v**2 - v. Let w(u) = -8*u**5 + 2*u**4 - 8*u**3 + 7*u**2 - 7*u. Let z(p) = 14*l(p) - 2*w(p). Factor z(i).
2*i**3*(i - 1)**2
Let w(n) be the third derivative of -n**7/1260 - n**6/180 + n**4/9 - n**3/3 - n**2. Let m(u) be the first derivative of w(u). Factor m(x).
-2*(x - 1)*(x + 2)**2/3
Factor 11 + 12 - u**5 + u**3 + 7*u**2 - 27 - 3*u**4.
-(u - 1)**2*(u + 1)*(u + 2)**2
Let w(n) = n**3 + n**2 + n + 1. Let m(g) = -5*g**2 + 5. Let v(h) = -m(h) + 5*w(h). Factor v(l).
5*l*(l + 1)**2
Let j = -238 + 3572/15. Let x(f) be the first derivative of 2/25*f**5 - j*f**3 + 0*f + 2 + 0*f**2 - 1/10*f**4 + 1/15*f**6. Factor x(r).
2*r**2*(r - 1)*(r + 1)**2/5
Let r = -576 - -2888/5. Factor -r*j**3 - 2/5*j + 2*j**2 + 0.
-2*j*(j - 1)*(4*j - 1)/5
Factor -16/13 + 20/13*o**2 + 8/13*o + 6/13*o**3.
2*(o + 2)**2*(3*o - 2)/13
Let f(t) be the third derivative of -2*t**5/15 + t**4/18 - 8*t**2. Factor f(r).
-4*r*(6*r - 1)/3
Let o(s) be the first derivative of 25/6*s**4 + 0*s + 4/3*s**2 + 40/9*s**3 - 2. Determine k, given that o(k) = 0.
-2/5, 0
Factor -9*h - 5*h**2 - 6*h**2 + 1 + 8*h**2 - 7.
-3*(h + 1)*(h + 2)
Let g(w) be the first derivative of -3*w**5/5 + w**3 + 6. Determine o, given that g(o) = 0.
-1, 0, 1
Let b(i) = -5*i**3 - i**2 + 2*i + 3. Let r be b(-1). Let h(x) be the second derivative of 0*x**2 + 0 - 3*x - 1/15*x**r + 0*x**3 + 1/18*x**4. Factor h(f).
-2*f**2*(2*f - 1)/3
Let z = 11779 + -58707/5. Let b = 38 - z. Factor 1/5*h**5 + 0*h**3 - b*h**2 + 2/5*h**4 + 0 - 1/5*h.
h*(h - 1)*(h + 1)**3/5
Solve 2/3*d**2 - 1/3 + 0*d**3 - 1/3*d**4 + 0*d = 0.
-1, 1
Let t(a) = -a**2 + 6*a + 18. Let c be t(8). Let b(j) be the third derivative of 0*j - 1/48*j**4 - 2*j**c + 0 + 1/24*j**3 + 1/240*j**5. Factor b(q).
(q - 1)**2/4
Let g(i) = -240*i**3 - 380*i**2 - 165*i - 15. Let o(x) = -x**3 - x**2 + x - 1. Let u(k) = g(k) + 5*o(k). Determine t, given that u(t) = 0.
-1, -2/7
Let i(h) = h - 7. Let f be i(8). Factor 2 + 12*c**3 + 28*c - 10*c + 27*c**2 + f.
3*(c + 1)**2*(4*c + 1)
Let n(s) be the third derivative of -s**8/40 - 4*s**7/105 + 17*s**6/300 + 2*s**5/15 + s**4/15 + 6*s**2. Let n(v) = 0. What is v?
-1, -2/3, -2/7, 0, 1
Factor 4/9 + 2/9*q**2 - 2/3*q.
2*(q - 2)*(q - 1)/9
Let c be 3 - (-3)/(3/(-3)). Let q(w) be the first derivative of -2/25*w**5 + 0*w - 2 + 1/5*w**4 - 2/15*w**3 + c*w**2. What is s in q(s) = 0?
0, 1
Let s(m) be the third derivative of m**5/150 + m**4/30 + m**3/15 - 13*m**2. Suppose s(f) = 0. What is f?
-1
Let a(f) be the second derivative of -f**4/36 + f**3/18 + f**2/3 - 18*f. Solve a(x) = 0 for x.
-1, 2
Let f(p) = p**3 - 5*p**2 - 6*p + 3. Let m be f(6). Let u = 4 + -2. Determine d, given that -