+ 23*j**2/2 - 4*j + 267. Factor w(v).
-(v - 4)*(v + 1)*(13*v - 2)/2
Let o(q) = 20*q**3 - 26*q**2 - 18*q + 20. Let n = 84 - 92. Let u(v) = 7*v**3 - 9*v**2 - 6*v + 7. Let f(s) = n*u(s) + 3*o(s). Factor f(g).
2*(g - 2)*(g + 1)*(2*g - 1)
Factor -1/2*o + o**3 + o**2 - 1/2*o**4 - 1/2*o**5 - 1/2.
-(o - 1)**2*(o + 1)**3/2
Let k be (-165)/33 - (0 + (-152)/30). Let b(l) be the third derivative of -1/75*l**5 - 1/20*l**4 + 0*l - 5*l**2 + 0 - k*l**3. Factor b(p).
-2*(p + 1)*(2*p + 1)/5
Let q = 5499 + -5499. Solve z - z**3 + 1/6*z**4 + q - 1/6*z**2 = 0.
-1, 0, 1, 6
Let w(a) be the second derivative of a**5/90 + a**4/6 - 4*a**3/9 - 20*a**2/9 - 182*a. What is l in w(l) = 0?
-10, -1, 2
Let f(c) be the second derivative of c**4/78 + 18*c**3/13 + 729*c**2/13 - 37*c. Suppose f(k) = 0. Calculate k.
-27
Let w = -36/2119 + -56262/430157. Let s = 4/29 - w. Let 0 + 0*k + 2/7*k**4 - s*k**3 - 4/7*k**2 = 0. Calculate k.
-1, 0, 2
Let v(k) = -13*k**4 + 61*k**3 - 131*k**2 + 141*k - 53. Let c(a) = -32*a**4 + 152*a**3 - 328*a**2 + 352*a - 132. Let s(l) = 5*c(l) - 12*v(l). Factor s(m).
-4*(m - 3)*(m - 2)*(m - 1)**2
Let f(s) be the first derivative of 2*s**3/27 - 2*s**2/3 + 2*s + 62. Suppose f(u) = 0. What is u?
3
Let x = -1020 - -41825/41. Let n = 215/82 - x. Suppose -3*t - n - 1/2*t**2 = 0. What is t?
-5, -1
Let f be (-14)/(-28) - 2/(-8). Let a(h) be the second derivative of f*h**2 - 1/20*h**6 + h + 0*h**4 + 0 - 1/2*h**3 + 3/20*h**5. Factor a(g).
-3*(g - 1)**3*(g + 1)/2
Suppose -2*w + 32 = 14. Find k, given that -w*k**3 - 15*k**4 + 8*k**2 - 5*k**2 + 3*k**2 = 0.
-1, 0, 2/5
Determine l so that -15 + 1037*l**2 - l**3 - 4*l**3 + 5*l - 1022*l**2 = 0.
-1, 1, 3
Let y(i) = 3*i**4 + 8*i**3 + 20*i**2 - 31*i - 7. Let m(c) = c**4 + 4*c**3 + 10*c**2 - 15*c - 3. Let z(x) = -14*m(x) + 6*y(x). Determine p, given that z(p) = 0.
-2, 0, 1, 3
Let u(l) = l + 11. Let k be u(0). Let j be k/11*3/12. Find w such that 1/2*w**3 + 1/4 + j*w**4 - 1/4*w - 1/4*w**5 - 1/2*w**2 = 0.
-1, 1
Let k(g) be the third derivative of g**8/2240 - g**6/240 - g**4/8 + g**2. Let h(i) be the second derivative of k(i). Factor h(q).
3*q*(q - 1)*(q + 1)
Let h(a) = 2*a**3 - 72*a**2 - 9*a. Let i(q) = -11*q**3 + 432*q**2 + 51*q. Let u(f) = -34*h(f) - 6*i(f). Solve u(o) = 0 for o.
-72, 0
Factor -7*f**3 - 9*f + 22*f**2 - 14*f + 9*f**3 - f.
2*f*(f - 1)*(f + 12)
Let j(m) be the first derivative of -25/8*m**4 - 18 + 20*m + 5*m**2 - 1/2*m**5 - 5*m**3. Let j(c) = 0. Calculate c.
-2, 1
Suppose 3*o = o + 8. Suppose 5*u - y = -5*y + 18, o*u - 18 = -5*y. Suppose -2*k - 2 - 8*k**2 - u*k - 6 + 12*k**2 = 0. What is k?
-1, 2
Let y = -2872 - -31598/11. Factor 2/11*l**2 + y + 8/11*l.
2*(l + 1)*(l + 3)/11
Let l(n) = -n - 1. Suppose 0 = 4*a - 2*u + 16 + 4, 4*u = 5*a + 28. Let g be l(a). Let 10*s**2 + 48*s + 14*s**2 + 32 - 17*s**3 + 21*s**g = 0. Calculate s.
-2
Let c be (-265 + 13)/18 - -14. Solve 1/3*k**3 + 0*k**2 + c - 4/3*k = 0.
-2, 0, 2
Let s(d) = -d. Let w(c) = -3*c - 2. Let j(z) = -4*s(z) + w(z). Let k be j(5). What is p in 3*p**2 - k*p**4 + p**3 + 6*p**3 - p**3 - 6*p**5 = 0?
-1, -1/2, 0, 1
Let o(a) be the second derivative of 0 + 23*a + 1/3*a**3 - 1/48*a**4 + 0*a**2. Factor o(f).
-f*(f - 8)/4
Let j(a) = 4*a**3 - a**2 - 5*a**3 + 7*a**3 - a - 7*a**3. Let f(b) = -3*b**4 + 9*b**3 + 15*b**2 + 3*b - 6. Let c(s) = -f(s) - 6*j(s). Let c(r) = 0. What is r?
-1, 1, 2
Suppose u + 16 = -15*b + 19*b, -4*b - 5*u - 8 = 0. Let f(h) be the first derivative of 6 - 3/7*h**2 - 2/21*h**b - 4/7*h. Factor f(s).
-2*(s + 1)*(s + 2)/7
Let o(x) be the third derivative of x**6/180 - x**5/30 - x**4/36 + x**3/3 + x**2 - 13. Factor o(f).
2*(f - 3)*(f - 1)*(f + 1)/3
Let u be -4 - (6/(-9))/(-22*(-1)/138). Find g, given that 6/11*g + u*g**2 - 8/11 = 0.
-4, 1
Let x be 1/(3/6) - -98. Find i such that 96*i - i**2 + i**2 - 4*i**2 - x*i + 4 + 4*i**3 = 0.
-1, 1
Factor 10*m + 5/2*m**2 + 15/2.
5*(m + 1)*(m + 3)/2
Let r(d) be the first derivative of -d**6/1080 - d**5/360 + 4*d**3 - 14. Let o(n) be the third derivative of r(n). Factor o(u).
-u*(u + 1)/3
What is f in 121/3*f**3 + 16/3*f - 88/3*f**2 + 0 = 0?
0, 4/11
Let d(v) be the first derivative of 1/2*v**6 + 8/3*v**3 + 7/5*v**5 + 0*v**2 + 0*v + 5 - 9/2*v**4. Factor d(q).
q**2*(q - 1)*(q + 4)*(3*q - 2)
Let q(n) = -n**3 + 56*n**2 + 5*n + 8. Let m(h) = 55*h**2 + 8*h + 6. Let x(i) = 4*m(i) - 3*q(i). Find d, given that x(d) = 0.
-17, -1/3, 0
Let i(g) be the first derivative of -g**3/21 + 23*g**2/14 - 6*g - 37. Find s, given that i(s) = 0.
2, 21
Let u(p) be the first derivative of -13*p**3 + 99*p**2/2 + 54*p - 167. Let u(d) = 0. What is d?
-6/13, 3
What is z in -3*z**2 + 2410*z - 1210*z + 15 - 1212*z = 0?
-5, 1
Let d = -104 - -104. Suppose -2*o - 139 + 147 = d. Factor 2*x**3 + 2/5*x**o + 12/5*x**2 - 8/5*x - 16/5.
2*(x - 1)*(x + 2)**3/5
Factor -7/6*l**3 + 0*l + 1/6*l**5 - 2/3*l**2 - 1/3*l**4 + 0.
l**2*(l - 4)*(l + 1)**2/6
Let i(l) = -12*l**3 - 8*l**2 - 7*l - 11. Let f = 84 - 156. Let m = f - -50. Let x(c) = c**3 + c**2 + c + 1. Let q(h) = m*x(h) - 2*i(h). What is w in q(w) = 0?
-1, 0, 4
Let l(b) = 4*b**3 - 2*b**2 - b. Let v be l(2). Suppose -30*h - 28 = -37*h. What is j in -7*j**3 - 11*j**3 + v*j**3 + 4*j**h = 0?
-1, 0
Let a be (-3)/9*(95 + -104). Solve 3/4*q**a - 1/2*q - 1/4*q**5 - 1/4*q**2 + 0 + 1/4*q**4 = 0 for q.
-1, 0, 1, 2
Suppose -4*p + 40 = 3*q - q, -p = q - 22. Determine l, given that 3*l**2 + 6*l + 20 - q*l + 7 + 0*l**2 = 0.
3
Let h(s) be the first derivative of 6*s - 1/9*s**3 + 0*s**2 + 1/18*s**4 + 6. Let n(c) be the first derivative of h(c). Factor n(y).
2*y*(y - 1)/3
Let z(j) = -j**3 - 6*j**2 - 6*j - 3. Let k be z(-5). Factor w**3 + 0*w + 7*w - 5*w + 3*w**k.
w*(w + 1)*(w + 2)
Determine o, given that 11/5*o**2 + 8 - 1/5*o**3 - 38/5*o = 0.
2, 4, 5
Factor 9/2*k**2 - 3/8*k + 0.
3*k*(12*k - 1)/8
Let c(r) be the third derivative of 17*r**5/6 + 29*r**4/4 + 2*r**3/3 + r**2 - 12*r. Determine z so that c(z) = 0.
-1, -2/85
Let q(o) be the third derivative of -o**5/12 - o**4/8 - 2*o**3/3 - o**2. Let g(t) = 6*t**2 + 3*t + 5. Let v = 44 - 50. Let f(y) = v*g(y) - 7*q(y). Factor f(m).
-(m - 2)*(m - 1)
Let g(b) be the second derivative of b**7/189 - 2*b**6/135 - 2*b**5/9 + 4*b**4/27 + 128*b**3/27 + 128*b**2/9 - 14*b + 4. Factor g(q).
2*(q - 4)**2*(q + 2)**3/9
Let l(x) = 1. Let d(v) be the second derivative of v**4/12 + v**3/2 + v**2/2 + 3*v. Let k(n) = 3*d(n) - 15*l(n). Factor k(z).
3*(z - 1)*(z + 4)
Let s(q) = 8*q**5 - 8*q**3 - 3*q - 3. Let k(z) = -15*z**5 + 15*z**3 + 5*z + 5. Let j(l) = 3*k(l) + 5*s(l). Factor j(u).
-5*u**3*(u - 1)*(u + 1)
Determine z so that z**3 + 76*z**4 + 20964*z**5 - 45*z**3 - 92*z**2 + 16 + 64*z - 20984*z**5 = 0.
-1, -1/5, 1, 2
Suppose 4*o + 687 = 3*f, 0*o = 2*o + 2*f + 326. Let y be (-3*6/21)/(36/o). Factor 1/4*s - 1/4*s**2 + 1/4*s**y + 0 - 1/4*s**3.
s*(s - 1)**2*(s + 1)/4
Let v(j) be the third derivative of -5/48*j**4 + 1/140*j**7 + 0 - 1/24*j**5 - 15*j**2 + 1/6*j**3 + 0*j + 1/48*j**6. Suppose v(n) = 0. What is n?
-2, -1, 1/3, 1
Let q(x) = -2*x - 5. Suppose d = 7*d + 24. Let y be q(d). Factor 2/11*r**y - 2/11*r + 2/11 - 2/11*r**2.
2*(r - 1)**2*(r + 1)/11
Let w(p) = p**2 - p + 10. Let t be w(0). Suppose t*q - 8*q - 4 = 0. Find h such that h - 4*h**5 + 6*h**4 + 2*h - 6*h**q + h**5 = 0.
-1, 0, 1
Suppose -112 = -2*u - 4*m + 294, -5*m = -5*u + 1090. Factor -45*x**2 + 91*x - 135 + 44*x + u*x**3 - 208*x**3.
5*(x - 3)**3
Let o(c) be the first derivative of -c**4 + 82*c**3/3 - 55*c**2 - 76*c + 90. Let o(d) = 0. Calculate d.
-1/2, 2, 19
Let r(n) = n**3 - 2*n**2 - n. Let q(f) = 5*f**3 - 18*f**2 + 24*f - 24. Let t(h) = 5*q(h) - 20*r(h). Factor t(z).
5*(z - 6)*(z - 2)**2
Factor 2/3*m**3 + 16/3 - 8/3*m - 4/3*m**2.
2*(m - 2)**2*(m + 2)/3
Let d be (-4376)/(-20)*(-15)/12. Let t = 274 + d. Let -g**3 + 3/4*g + 0*g**4 + 1/2 + 1/4*g**5 - t*g**2 = 0. Calculate g.
-1, 1, 2
Let s(l) be the second derivative of 0*l**2 + 0 - 32/105*l**6 + 2/21*l**7 + 4/35*l**5 + 0*l**3 + 0*l**4 + 11*l. Factor s(k).
4*k**3*(k - 2)*(7*k - 2)/7
Let y(w) be the second derivative of -w**4/4 + 3*w**3 - 15*w**2/2 - 83*w. Solve y(k) = 0 for k.
1, 5
Let x(y) be the third derivative of -y**6/40 + 6*y**5 - 600*y**4 + 32000*y**3 - y**2 + 7. Solve x(m) = 0 for m.
40
Let r = 213 - 2129/10. Let v(q) be the first derivative of -1/5*q + 3/10*q**2 + 3/25*q**5 - 1/30*q**6 +