actor 6*j**4 - 6*j**4 - 96*j**2 + 61*j**3 - 97*j**3 - 4*j**4 - 64*j.
-4*j*(j + 1)*(j + 4)**2
Let c = 134905/231 - 584. Let z(l) be the third derivative of -2/165*l**5 + 2/165*l**6 + 0*l**3 + 0*l**4 - c*l**7 + 3*l**2 + 1/1848*l**8 + 0 + 0*l. Factor z(v).
2*v**2*(v - 2)**2*(v - 1)/11
Let c be (5 + -3)/(2/15). Let a = 18 - c. What is g in 6*g**5 + 11*g**3 - 8*g**a + g**3 - 10*g**4 = 0?
0, 2/3, 1
Factor 0 - 2*l**2 + 0*l - l**4 - 11/3*l**3.
-l**2*(l + 3)*(3*l + 2)/3
Suppose -143 = -3*m - 10*m. Suppose -30 + 7 = -5*b - r, 2*r - m = -3*b. Let -3/4*d**b + 18*d**2 + 23/4*d**4 - 16*d**3 - 4 - 4*d = 0. Calculate d.
-1/3, 2
Let x(o) = o**2 + 8*o + 16. Let k be x(-6). Let -9*w**4 - 4*w**4 + 9*w**5 - k*w**3 + 16*w**4 - 3*w**2 - 5*w**3 = 0. What is w?
-1, -1/3, 0, 1
Let h be 118/8 + (111 - 122). What is m in -3/2*m + 0 - h*m**2 - 9/4*m**3 = 0?
-1, -2/3, 0
Let o = 16122 - 16119. Solve -2/11*b**4 + 6/11*b**o + 30/11*b**2 + 12/11 + 34/11*b = 0 for b.
-1, 6
Let f(u) be the third derivative of -u**7/42 + 5*u**6/4 - 648*u**2. Factor f(x).
-5*x**3*(x - 30)
Let u(b) = b**3 - 14*b**2 - 16*b + 33. Let m be u(15). Let 5 - m - 3*g**2 - 11 + 0*g + 27*g = 0. Calculate g.
1, 8
Let p = -56 - -182. Solve 1 - 1 + 49*r**4 - p*r**3 - 2 - 87*r**2 + 76*r - 10 = 0 for r.
-1, 2/7, 3
Let -1/7*b**3 + 6/7*b**2 + 0*b - 32/7 = 0. What is b?
-2, 4
Let q = -32 - -46. Suppose -2*s = 5*a + 1, -a + s - 6*s = q. Let f(u) = 3*u**2 + 3*u - 6. Let t(k) = k**2 - k. Let y(z) = a*f(z) - 6*t(z). Factor y(l).
-3*(l - 2)*(l - 1)
Let l(a) = 2*a**2 + 15*a + 25. Let b be l(-2). Let r(v) be the first derivative of v**4 + 0*v + 2*v**2 - 1 + 10/3*v**b. Solve r(j) = 0.
-2, -1/2, 0
Let y(t) = 6*t + 50. Let q be y(-8). Suppose 20 - q = 9*i. Solve 2/3*c**3 + 1/3 + 0*c**i - 2/3*c - 1/3*c**4 = 0.
-1, 1
Factor 144*p + 168*p**2 + 17 + 12*p**3 - 19 - 21 + 32*p**3 - 9.
4*(p + 2)**2*(11*p - 2)
Let c(z) be the second derivative of z**7/735 + z**6/210 - z**5/210 - z**4/42 - 5*z**2/2 + 2*z. Let b(k) be the first derivative of c(k). Factor b(o).
2*o*(o - 1)*(o + 1)*(o + 2)/7
Let r(k) = -2*k**3 - 23*k**2 - 49*k - 187. Let z be r(-10). What is b in 78/7*b**2 - 48/7*b**z - 48/7*b + 9/7 + 9/7*b**4 = 0?
1/3, 1, 3
Let x(u) = -9*u - 51. Let s be x(-16). Factor -f**2 - 16 - 21*f - 61*f**2 - 43*f**2 + 49*f**3 + s*f.
(f - 1)*(7*f - 4)**2
Let j(u) be the second derivative of -u**6/15 + 7*u**5/10 + u**4/2 - 23*u**3/3 + 14*u**2 - 5*u. Find r, given that j(r) = 0.
-2, 1, 7
Solve -2/5*l**2 + 0*l + 8/5 = 0.
-2, 2
Suppose 4/15*r**4 + 8/15*r + 0 - 2/3*r**5 + 2*r**3 - 32/15*r**2 = 0. Calculate r.
-2, 0, 2/5, 1
Let z(j) be the first derivative of -3/2*j**4 + 6*j**2 + 16 + 12*j + 3/5*j**5 - 3*j**3. Factor z(h).
3*(h - 2)**2*(h + 1)**2
What is q in -12/5 - 7/5*q - 1/5*q**2 = 0?
-4, -3
Suppose -4*m + h + 8 = -2*h, 0 = -2*h. Find x such that 2*x - 5*x + 2*x**m - 3*x**2 + x = 0.
-2, 0
Let v(l) be the third derivative of 0*l + 1/90*l**5 + 12*l**2 + 0 + 0*l**3 - 1/9*l**4. Find w, given that v(w) = 0.
0, 4
Let l = -323 + 323. Let k(p) be the second derivative of 0*p**3 - 3/20*p**5 + 1/14*p**7 - 1/4*p**4 + 4*p + l*p**2 + 0 + 1/10*p**6. Factor k(u).
3*u**2*(u - 1)*(u + 1)**2
Let d be (39/12)/((-2)/(-8)). Suppose 6*l + 1 = d. Factor -3/4*f - 1/2 - 1/4*f**l.
-(f + 1)*(f + 2)/4
Let w(x) be the second derivative of -x**6/660 - x**5/110 - x**4/44 - x**3/33 + x**2/2 - 11*x. Let z(s) be the first derivative of w(s). Factor z(v).
-2*(v + 1)**3/11
Let m(i) be the third derivative of i**8/672 + i**7/84 - i**6/120 - i**5/12 + i**4/48 + 5*i**3/12 + i**2 + 147*i. Solve m(u) = 0.
-5, -1, 1
Let c = 78 - 75. Suppose -3*k + 8 = 4*j - 4, 0 = -c*j - 3*k + 9. Suppose 1/2*u**4 + 0*u + 0 + 0*u**2 - 1/3*u**j - 1/6*u**5 = 0. Calculate u.
0, 1, 2
Let p(d) be the first derivative of d**7/21 - d**6/6 + d**5/5 - d**4/12 - 3*d + 8. Let m(l) be the first derivative of p(l). Factor m(c).
c**2*(c - 1)**2*(2*c - 1)
Let r(k) be the third derivative of 0 + 1/60*k**5 + 1/1008*k**8 + 0*k - 1/210*k**7 - 6*k**2 + 1/360*k**6 - 1/36*k**4 + 0*k**3. Factor r(t).
t*(t - 2)*(t - 1)**2*(t + 1)/3
Let s be 3/(-2)*4/(-3) + 484/(-363). Factor -k + s + 1/3*k**2.
(k - 2)*(k - 1)/3
Let d(v) be the first derivative of 10*v**3/3 + 55*v**2/2 - 105*v + 39. Factor d(o).
5*(o + 7)*(2*o - 3)
Let z(b) be the third derivative of b**7/105 - b**6/20 - 23*b**5/30 - 11*b**4/4 - 14*b**3/3 + 35*b**2 + 3. Solve z(a) = 0.
-2, -1, 7
Let s = -212/217 + 48/31. Determine c, given that -4/7*c - 8/7*c**2 + 4/7 - s*c**5 + 4/7*c**4 + 8/7*c**3 = 0.
-1, 1
Let x(l) be the first derivative of 3/10*l**5 - 1/2*l**3 + 0*l + 3/8*l**2 + 0*l**4 + 1 - 1/8*l**6. Factor x(b).
-3*b*(b - 1)**3*(b + 1)/4
Let 2*u**5 + 0*u**3 + 4*u**4 + 149*u**2 - 153*u**2 - 2*u**3 = 0. What is u?
-2, -1, 0, 1
Suppose -130 = -35*g + 9*g. Let j(t) be the second derivative of 1/5*t**g + 0 - 6*t - 2/3*t**3 + 0*t**4 + 0*t**2. Factor j(k).
4*k*(k - 1)*(k + 1)
Determine d so that -9*d**2 + 27*d**4 + 0 + 21/2*d**3 + 0*d + 15/2*d**5 = 0.
-3, -1, 0, 2/5
Let g be (85/(-21) - -4)*-12. Let y be (152/(-28))/2 - -3. Factor -y*x**2 - g + 6/7*x.
-2*(x - 2)*(x - 1)/7
Factor -10*s**3 + s**4 + 408 - 6*s**4 + 15*s**2 - 408.
-5*s**2*(s - 1)*(s + 3)
Let n be ((-24)/(-156))/(10/13) + 38/10. Factor 1/8*a**n + 0 + 3/8*a**2 + 1/2*a**3 + 0*a.
a**2*(a + 1)*(a + 3)/8
Let b(y) = -12*y**3 - 18*y**2 - 2*y + 6. Let z(k) = 23*k**2 + 254 + 23*k**3 + 3*k + 12*k**2 - 267. Let f(a) = -13*b(a) - 6*z(a). Factor f(j).
2*j*(3*j + 2)**2
Let b(r) be the second derivative of r**5/45 - 28*r**4/9 - 366*r. Factor b(j).
4*j**2*(j - 84)/9
Suppose 0 = 4*u - 8 - 0. Factor -467*y**3 + 20*y - 8 + 471*y**3 + 8*y**2 - 24*y**u.
4*(y - 2)*(y - 1)**2
Let b be ((-2170)/2108)/((-10)/8). Let m(c) be the second derivative of -b*c**3 + 0 + 2*c - 9/17*c**2 - 49/102*c**4. Factor m(d).
-2*(7*d + 3)**2/17
Let j(x) = 22*x**2 - 10*x - 4. Let l(h) = 28 + h - 28. Let k(p) = j(p) - 8*l(p). Factor k(b).
2*(b - 1)*(11*b + 2)
Let r(t) be the third derivative of -t**8/2688 - t**7/1680 + t**6/480 + t**5/240 - t**4/192 - t**3/48 + t**2 - 35*t. Factor r(b).
-(b - 1)**2*(b + 1)**3/8
Let y(m) be the first derivative of -18*m - 19*m**2 - 22/3*m**3 - 22 - 1/2*m**4. Determine r, given that y(r) = 0.
-9, -1
Let u = -44 - -58. Let j be -3 + -2 + u/2. Find h, given that -2/5*h - 2/5*h**j + 0 = 0.
-1, 0
Let y(w) = -13*w**3 - 17*w**2 + 53*w + 75. Let g(n) = 3*n**3 + 4*n**2 - 13*n - 18. Let b(v) = -18*g(v) - 4*y(v). Solve b(x) = 0.
-4, -1, 3
Suppose 0 = -4*n - 0*y + 3*y, 0 = -4*n + 4*y. Suppose -g + 4/3*g**4 + n - 10/3*g**2 + 3*g**3 = 0. Calculate g.
-3, -1/4, 0, 1
Let i = -1715 + 1721. Let m(v) be the third derivative of 0*v**3 + 1/70*v**7 + 1/5*v**5 - 10*v**2 + 0*v + 0 - 1/10*v**i + 0*v**4. Solve m(s) = 0 for s.
0, 2
Let l be (4/(-110))/(2/(-10)). Let r(w) = w**2 + 52*w - 281. Let f be r(5). Determine b so that l*b + 6/11*b**2 - 2/11*b**f - 4/11 - 2/11*b**3 = 0.
-2, -1, 1
Let g(k) = -8*k**4 - 448*k**3 - 457*k**2 - 17*k - 68. Let w(y) = -y**4 - 56*y**3 - 57*y**2 - 2*y - 8. Let d(p) = 6*g(p) - 51*w(p). Suppose d(h) = 0. What is h?
-55, -1, 0
Let x(b) be the first derivative of -2*b**5/25 + 3*b**4/2 + 2*b**3/15 - 3*b**2 - 86. Find i, given that x(i) = 0.
-1, 0, 1, 15
Let v = -1011/5 - -4853/24. Let z(k) be the third derivative of -1/16*k**4 - 7*k**2 + 0*k - 1/6*k**3 + 0 - v*k**5. Factor z(g).
-(g + 1)*(g + 2)/2
Let j(f) be the second derivative of -f**4/27 + 392*f**3/9 - 19208*f**2 - 10*f + 15. Factor j(a).
-4*(a - 294)**2/9
Suppose -419 = -12*u - 35. Factor -3*i**3 - 15*i**2 + 58*i - 38*i - u*i.
-3*i*(i + 1)*(i + 4)
Let i(v) be the third derivative of -v**6/5 - 13*v**5/20 + 21*v**3/2 - 9*v**2. Let d(g) = 3*g**3 + 5*g**2 - 8. Let p(o) = -33*d(o) - 4*i(o). Factor p(x).
-3*(x - 1)*(x + 2)**2
Suppose 4*y = 16, 5*y = -3*b + 222 + 89. Let g = b + -289/3. Find n, given that 7/3*n**2 + g*n + 1/3*n**5 + 0 + 5/3*n**4 + 3*n**3 = 0.
-2, -1, 0
Factor 1450 + 21007 + 1348 + 5*i**2 + 376*i - 38*i + 352*i.
5*(i + 69)**2
Suppose -125*b - 65*b = -91*b + 118*b. Solve b - 2/15*u**3 - 8/15*u**2 + 0*u = 0.
-4, 0
Let s(f) = -4*f**2. Let y be -4 + (-21)/(-2 - 1). Let h be 105/(-14) + y/2. Let a(k) = 9*k**2. Let z(r) = h*a(r) - 14*s(r). Factor z(p).
2*p**2
Let l = -1633/20 - -412/5. Factor -3/2*t + l + 3/4*t**2.
3*(t - 1)**2/4
Suppose 14 + 3 = 4*v - 3*c, -4*c - 11 = -3*v.