/11*o**3 + 5*o**2 - 9/11*o**4. Factor f(k).
-2*(k - 6)**3/11
Factor 4/9 - 1/3*b - 1/9*b**2.
-(b - 1)*(b + 4)/9
Factor -3*x**2 - 60*x + 18*x**3 - 18*x**4 - 6*x**2 + 21*x**4 - 18 - 18.
3*(x - 2)*(x + 1)**2*(x + 6)
Let h be -3*8/72*(-248 + -1). Let a = 88 - h. Factor 1/3*n**2 + 1/6*n - 1/6 + 1/6*n**a - 1/3*n**3 - 1/6*n**4.
(n - 1)**3*(n + 1)**2/6
Let y(s) = s**2 + 29*s + 30. Let h be y(-28). Let l(i) be the second derivative of 0*i**3 - 6*i - 1/6*i**6 - 3/5*i**5 - 1/3*i**4 + 0 + 0*i**h. Factor l(r).
-r**2*(r + 2)*(5*r + 2)
Let f be 4 + -6 + 3 + -3. Let a be ((-1)/f)/(66/24). Find v, given that -a*v**3 - 2/11 + 2/11*v - 4/11*v**4 + 6/11*v**2 = 0.
-1, 1/2, 1
Let y(j) be the second derivative of j**6/72 - j**5/24 - 5*j**4/12 - 11*j**3/6 - 24*j. Let t(d) be the second derivative of y(d). Factor t(a).
5*(a - 2)*(a + 1)
Let n(h) = 18*h**2 + 515*h + 21680. Let r(y) = 21*y**2 + 516*y + 21681. Let w(i) = 6*n(i) - 5*r(i). Find c, given that w(c) = 0.
-85
Suppose 4*a - 3*i = 23 + 2, 4*a - 2*i - 22 = 0. Factor -5*g**2 - a + 11*g**2 - 2 + 15*g - 15*g**3.
-3*(g - 1)*(g + 1)*(5*g - 2)
Factor 53 + 58 - d**3 - 111 - 19*d**2 - 34*d.
-d*(d + 2)*(d + 17)
Let u = -10 - -10. Let n = u + 15. Let 60*w + 68*w**2 + 39*w**3 + 25*w**2 - 8*w**4 - 13*w**4 + 12 - n*w**5 = 0. What is w?
-1, -2/5, 2
Let h(r) be the first derivative of r**6/18 + r**5/5 + r**4/4 + r**3/9 + 333. Factor h(b).
b**2*(b + 1)**3/3
Let m(l) be the third derivative of l**8/168 + 22*l**7/105 + 79*l**6/30 + 208*l**5/15 + 147*l**4/4 + 54*l**3 - 58*l**2. Solve m(a) = 0 for a.
-9, -2, -1
Find u, given that 2/11*u**3 - 4/11*u**2 + 2/11*u + 0 = 0.
0, 1
Let v be (5 + (-69)/15)*(0 - -10). Factor 6*n**2 + 3 + 3*n**3 - 3 - 4*n**4 + n**v.
-3*n**2*(n - 2)*(n + 1)
Let r(u) be the second derivative of 5*u**8/4704 + u**7/126 + 11*u**6/630 + 2*u**5/105 + u**4/2 + u. Let a(y) be the third derivative of r(y). Factor a(z).
2*(z + 2)*(5*z + 2)**2/7
Let c be (32/30 + -1)/((-10)/(-15)). Let b = 167/70 - c. Determine u so that 8/7*u + b*u**2 + 10/7*u**3 + 0 + 2/7*u**4 = 0.
-2, -1, 0
Suppose 0 = -3*t - 3*h + 75, 2*h + 99 = 5*t - 61. Let j = -2 - -4. Factor 27/2*o**j - t*o + 6.
3*(o - 2)*(9*o - 2)/2
Let w(t) = -5*t**2 + 3*t + 2. Let m(f) = -11*f**2 + 7*f + 4. Let j = 6 + 0. Suppose 0 = 24*z - 23*z + 14. Let o(n) = j*m(n) + z*w(n). Factor o(l).
4*(l - 1)*(l + 1)
Let c(m) be the second derivative of -m**4/6 - 22*m**3/3 + 70*m. What is y in c(y) = 0?
-22, 0
Let y be 2/(-8) + (-18)/(-8) + 0. Suppose y*m - 4*m = 4*m. Determine c so that 0 - 2/3*c + 2/3*c**3 + m*c**2 = 0.
-1, 0, 1
Determine q so that -2/9*q**5 + 0 - 8/9*q**2 + 10/9*q**4 - 4/3*q**3 + 16/9*q = 0.
-1, 0, 2
Let d(b) be the first derivative of 1/20*b**5 + 0*b**4 + 1/60*b**6 + 8*b + 0*b**2 + 4 + 0*b**3. Let j(h) be the first derivative of d(h). Factor j(u).
u**3*(u + 2)/2
Let h(y) be the first derivative of 3*y**4/4 - 3*y**2/2 - 30. Factor h(k).
3*k*(k - 1)*(k + 1)
Let d be 1/(-4) + (-893)/188 + 38/6. Determine z so that -2*z**2 - 50/9*z + d = 0.
-3, 2/9
Let n be 5/1 + (-6 - -6). Solve 18*f**n - 2*f**3 - 4*f**5 - 9*f**5 - 3*f**3 = 0.
-1, 0, 1
Suppose 5*f - q = 8*f + 3, -2*q = -5*f + 6. Factor 4/21*w**4 + 0 + 0*w + f*w**2 + 2/7*w**3.
2*w**3*(2*w + 3)/21
Let k(b) be the third derivative of b**6/90 + 319*b**5/180 - 101*b**4/18 + 9*b**3/2 + 38*b**2 - 10. Factor k(i).
(i - 1)*(i + 81)*(4*i - 1)/3
Let u(f) be the second derivative of f**5/20 - 4*f**4/3 - 35*f**3/6 - 9*f**2 + 258*f. Solve u(w) = 0 for w.
-1, 18
Let k(y) be the first derivative of -y**3/5 - 3*y**2/10 + 6*y/5 + 92. Let k(o) = 0. Calculate o.
-2, 1
Factor 9*n**3 - 16*n**3 - 8 + 9*n**3 + 0*n**2 - 8*n + 2*n**2.
2*(n - 2)*(n + 1)*(n + 2)
Let x(g) be the second derivative of -5/18*g**4 + 7/9*g**3 + 15*g + 1/30*g**5 - g**2 + 0. Find r such that x(r) = 0.
1, 3
Let j(i) be the second derivative of i**6/10 - 3*i**5/2 + 3*i**4 + 20*i**3 - 96*i**2 + 4*i - 20. Factor j(q).
3*(q - 8)*(q - 2)**2*(q + 2)
Suppose 2*c + 4*y = 40, -6*c + c + 100 = 5*y. Suppose -2*b + 3 = a + b, -5*b = c. Solve -11*s**3 + a*s**3 + s**2 + 3*s**2 - 9*s**4 - 6*s**4 = 0.
-2/5, 0, 2/3
Let g(h) be the second derivative of 5*h**4/12 - 80*h**3 + 5760*h**2 + 184*h + 1. Let g(z) = 0. Calculate z.
48
Factor 149*q + 17 - 2*q**2 - 324*q + 7 + 153*q.
-2*(q - 1)*(q + 12)
Let h(f) be the third derivative of -f**8/560 + f**7/140 + f**6/40 - 3*f**3 + 24*f**2. Let d(t) be the first derivative of h(t). Suppose d(m) = 0. What is m?
-1, 0, 3
Let c(k) be the first derivative of 22*k**3/3 - 9*k**2/2 + k + 12. Let w(d) = 7*d**2 - 3*d. Let i(b) = 6*c(b) - 21*w(b). Factor i(r).
-3*(r - 1)*(5*r + 2)
Let s(n) be the third derivative of -n**6/10 - 19*n**5/20 + 5*n**4/8 + 8*n**2 - 16*n. Let s(z) = 0. What is z?
-5, 0, 1/4
Let j be 3/7*346/519. Factor j*i**3 + 0*i + 0 + 2/7*i**2.
2*i**2*(i + 1)/7
Let l(p) be the second derivative of -p**3 - 25*p + 1/14*p**7 + 0*p**2 + 5/4*p**4 - 1/10*p**6 + 0 - 9/20*p**5. Factor l(q).
3*q*(q - 1)**3*(q + 2)
Let v(u) be the second derivative of -1/18*u**4 + 0 - 1/18*u**3 + 0*u**2 + 0*u**5 + 1/45*u**6 - 36*u + 1/126*u**7. Factor v(n).
n*(n - 1)*(n + 1)**3/3
Suppose 8 = -2*z + 4*z. Let h be (-2)/(4/4) + z. What is s in 3*s**2 + 1/2*s**4 - h*s - 2*s**3 + 1/2 = 0?
1
Let x be 12/8 - (-1)/(-2). Let z be (x/1)/((-3)/(-9)). Factor -z*o**2 - 5*o**4 - 2*o**2 + 6*o**4 + 6*o**2 - 2*o**3.
o**2*(o - 1)**2
Let u(y) = 4 + y - 6 + 6. Let r be u(-2). Determine a, given that 0*a**4 + 4*a - 6*a + r*a**4 - 2*a**2 + 2*a**3 = 0.
-1, 0, 1
Let b(a) = -4*a**4 - 2*a**3 - 6*a**2 + 5*a + 1. Let v(x) = 10*x - 11*x**2 + 5*x**4 + 0*x**4 + 3 - 5*x**3 - 12*x**4. Let r(c) = -5*b(c) + 3*v(c). Factor r(n).
-(n - 1)*(n + 1)**2*(n + 4)
Let s(m) be the first derivative of -m**5/5 - 245*m**4/4 - 5123*m**3 - 44407*m**2/2 - 29282*m + 997. Factor s(z).
-(z + 1)*(z + 2)*(z + 121)**2
Let i be (-2 + (-8)/(-5))*-2. Let t = i - 11/20. Factor t*a**2 + 1/2 - 3/4*a.
(a - 2)*(a - 1)/4
Let z = 133 + -135. Let n be z + -6 + (-129)/(-15). Let -3/5*t - 3/5*t**4 + n*t**2 + 3/5*t**3 + 0 = 0. Calculate t.
-1, 0, 1
Let z(i) = -12*i + 3*i - 25*i - 8*i + 1. Let o be z(-1). Factor 4*y + o*y**5 - 38*y**5 - 10*y**3 + y.
5*y*(y - 1)**2*(y + 1)**2
Let q(k) = 8*k**4 - 73*k**3 + 74*k**2 + 16*k. Let x(s) = -17*s**4 + 145*s**3 - 149*s**2 - 34*s. Let c(w) = -7*q(w) - 4*x(w). What is a in c(a) = 0?
-1/4, 0, 2, 4
Suppose -8/3*p + 2/3*p**2 - 64/3 = 0. Calculate p.
-4, 8
Factor 124*p**2 + 49*p**3 - 17*p**3 + 22*p**5 + 7 + 46*p + 94*p**4 - 1 - 16*p**3 + 140*p**3.
2*(p + 1)**4*(11*p + 3)
Let m(a) = 29*a**2 - 706*a - 284. Let k(t) = 405*t**2 - 9880*t - 3975. Let f(b) = 4*k(b) - 55*m(b). Suppose f(n) = 0. What is n?
-2/5, 28
Suppose -5*j = 5825 - 500. Let i = 11723/11 + j. Solve 6/11 + i*k + 2/11*k**2 = 0 for k.
-3, -1
Let l = -1 - -4. Let d be (-2)/(6/(-9)*l). Factor -3 - j + 36*j**2 - 12*j**2 + 7*j - d + 14*j**3.
2*(j + 1)**2*(7*j - 2)
Suppose 2*h + 9 = 5*h. Let p(s) be the second derivative of 4*s - 27/2*s**2 - 1/4*s**4 - h*s**3 + 0. Let p(x) = 0. What is x?
-3
Let u(s) = 14*s - 39. Let g be u(3). Let n(o) be the second derivative of 0 + 0*o**2 + 6*o - 1/4*o**4 - o**g. Factor n(t).
-3*t*(t + 2)
Factor 0*i + 1/4*i**5 + 4 - i**3 - 4*i**2 + 3/4*i**4.
(i - 2)*(i - 1)*(i + 2)**3/4
Factor s + 3/5 - s**3 - 3/5*s**2.
-(s - 1)*(s + 1)*(5*s + 3)/5
Let 12800/11 + 2/11*b**2 - 320/11*b = 0. What is b?
80
Let o(f) be the third derivative of -f**9/11340 - f**8/2520 - f**7/1890 + f**4/12 - 14*f**2. Let w(r) be the second derivative of o(r). Factor w(d).
-4*d**2*(d + 1)**2/3
Let q(v) be the first derivative of v**5 + 125*v**4/2 - 260*v**3/3 - 125*v**2 + 255*v + 521. Determine j, given that q(j) = 0.
-51, -1, 1
Let n(c) be the first derivative of 2*c**3/39 + 11*c**2/13 + 20*c/13 + 222. Factor n(p).
2*(p + 1)*(p + 10)/13
Let w be 119/28 + (-2)/8. Factor 17 + 10*k + k**2 + w + 4.
(k + 5)**2
Let v(z) be the first derivative of -5*z**3/3 - 50*z**2 + 105*z - 302. Factor v(b).
-5*(b - 1)*(b + 21)
Let b be (0 - 16)*(-11)/(110/45). Let c be 4 + ((-30)/(-8))/(b/(-48)). Determine d so that -c*d + 1/2*d**2 + 1 = 0.
1, 2
Let q(i) = 4*i**2 + 11*i - 42. Let t(v) = 3*v**2 + 10*v - 39. Let m(j) = 4*q(j) - 6*t(j). Solve m(r) = 0 for r.
-11, 3
Let k(h) be the third derivative of -h**7/70 - h**6/10 - 3*h**5/20 + h**4/2 + 2*h**3 - 74*h**2. Factor k(p).
-3*(p - 