e 0 = 2*z + 5*t + 10, 2*z + 2 = t - 4*t. Suppose 4*v - z*v + 2 = 0. Factor -6 - 4*b**3 + 15*b - 3*b**3 - v*b**3 + 12*b**2.
-3*(b - 2)*(b + 1)*(3*b - 1)
Suppose -3*o - 2*k = -4*k - 6, 5*k + 15 = o. Let v(f) be the third derivative of 0*f + o*f**4 + 1/60*f**6 + 0*f**3 + 2*f**2 + 0 + 1/30*f**5. Factor v(x).
2*x**2*(x + 1)
Let s be 276/270 + 4/(-5). Let d be 3*1*(-44)/(-297). Determine i so that -d*i + 2/9*i**2 + s = 0.
1
Solve -4/11*b - 1/11*b**2 + 12/11 = 0 for b.
-6, 2
Let s(p) be the first derivative of p**5 - 5*p**3/3 - 317. Let s(v) = 0. What is v?
-1, 0, 1
Let -2*o**4 + 375*o - 50*o**4 - 4*o**4 - 315*o - 152*o**2 + 156*o**3 - 8 = 0. What is o?
2/7, 1/2, 1
Find m, given that -11/2*m**4 + 0 + m**5 + 0*m + 5/2*m**2 + 2*m**3 = 0.
-1/2, 0, 1, 5
Let g(s) be the second derivative of s**8/47040 + s**7/8820 - s**6/5040 - s**5/420 - 13*s**4/12 + 22*s. Let x(w) be the third derivative of g(w). Factor x(h).
(h - 1)*(h + 1)*(h + 2)/7
Suppose 4*b - d - 1 = 9, -3*b + 15 = 3*d. Let 6*u**2 + 5 - 49*u + 7 + b*u**3 + 28*u = 0. Calculate u.
-4, 1
Let v(o) be the first derivative of -o**5/10 + 3*o**4/4 - 3*o**3/2 - o**2 + 6*o + 718. Factor v(b).
-(b - 3)*(b - 2)**2*(b + 1)/2
Let q be (-6)/((-2)/8*2). Let w be ((-40)/60)/((-2)/(1 - -5)). Factor -q*r + 165/4*r**w + 1 - 121/4*r**3.
-(r - 1)*(11*r - 2)**2/4
Suppose 0*l - 5*l = 200. Let r be (18/(-8))/(15/l). Factor -4*b**3 - b - b - 1 + 4*b - 6*b**2 - r*b - b**4.
-(b + 1)**4
Let f(a) be the third derivative of 2/9*a**4 + 0 + 0*a - 26*a**2 - 32/9*a**3 - 1/180*a**5. Factor f(i).
-(i - 8)**2/3
Let y(j) = -j**2 + 6*j. Let w be y(4). Let t be (-12)/w*(0 - 4/24). Solve 7/8*b - 3/8*b**5 - b**4 + t + 3/4*b**2 - 1/2*b**3 = 0.
-1, -2/3, 1
Let h be (10/(-33))/(255/(-306)). Let x = -1 + 4. Factor -2/11 - 2/11*g**4 + 0*g**x + h*g**2 + 0*g.
-2*(g - 1)**2*(g + 1)**2/11
Let d = -10 - -13. Solve 2 - 7*f - 10*f**2 - f**4 + 7*f**d + 5*f**4 + 4*f**2 = 0.
-2, -1, 1/4, 1
Let g be (-55)/(-44) - (-121)/44. What is o in 8/3*o**3 - 16 + 4/3*o**g - 80/3*o - 28/3*o**2 = 0?
-2, -1, 3
Let u(j) be the second derivative of -j**6/240 + j**5/40 - 5*j**4/96 + j**3/24 + 4*j + 12. Solve u(w) = 0 for w.
0, 1, 2
Let g(l) be the third derivative of 0 + 0*l - 4/3*l**3 - 5/6*l**4 - 1/5*l**5 + 2/105*l**7 + 1/30*l**6 + 34*l**2. Factor g(f).
4*(f - 2)*(f + 1)**3
Let q(z) be the first derivative of -z**3/6 - 61*z**2 - 7442*z + 61. Determine v, given that q(v) = 0.
-122
Factor 192*m + 172/3*m**3 + 256/3 + 10*m**4 + 464/3*m**2 + 2/3*m**5.
2*(m + 1)*(m + 2)*(m + 4)**3/3
Let t(q) be the first derivative of 98*q**3/3 - 42*q**2 + 18*q - 55. Factor t(i).
2*(7*i - 3)**2
Let q(t) be the second derivative of 1/12*t**3 + 0 - 3/10*t**6 - 3/28*t**7 - 1/5*t**5 - 2*t + 0*t**2 + 1/12*t**4. Determine m, given that q(m) = 0.
-1, -1/3, 0, 1/3
Let r(c) be the first derivative of -27*c**5/5 + 33*c**4/4 + 16*c**3 - 6*c**2 + 256. Determine n, given that r(n) = 0.
-1, 0, 2/9, 2
Let u(c) be the third derivative of c**7/70 - c**6/56 - 9*c**5/140 + 5*c**4/56 + c**3/7 - 6*c**2. Let u(a) = 0. What is a?
-1, -2/7, 1
Let c(s) = -20*s**2 + 5*s - 15. Let v(q) be the second derivative of -5*q**4/12 + q**3/6 - 2*q**2 + 14*q. Let j(y) = 4*c(y) - 15*v(y). Solve j(p) = 0 for p.
0, 1
Suppose -5*h**4 - 5*h**3 + 171 - 555*h - 22 + 140 + 71 + 205*h**2 = 0. Calculate h.
-8, 1, 3
Find u such that -3*u**2 - u**4 + 0*u**3 + u**3 - 214*u + 4 + 433*u - 215*u - 5*u**3 = 0.
-2, -1, 1
Let v(n) be the third derivative of -n**8/112 - 2*n**7/7 - 37*n**6/40 - 9*n**5/10 + 58*n**2. Factor v(t).
-3*t**2*(t + 1)**2*(t + 18)
Let s = 9286/5 - 1857. Let s*p - 1/5*p**2 + 2/5 = 0. Calculate p.
-1, 2
Let y(k) be the first derivative of k**3/2 - 12*k**2 + 96*k - 213. Factor y(r).
3*(r - 8)**2/2
Let a be 417/144 - 3 - 17/(-136). Let p(v) be the third derivative of 0*v - 1/6*v**3 + a*v**4 + 0 + 1/120*v**5 + 7*v**2. Let p(i) = 0. What is i?
-2, 1
Let f = -27534 - -27538. Factor -62208/7 - 2592/7*b**2 - 3/7*b**f - 144/7*b**3 - 20736/7*b.
-3*(b + 12)**4/7
Determine j so that 85*j**3 + 53*j**4 - 16*j**4 + 15*j - 17*j**4 + 80*j**2 = 0.
-3, -1, -1/4, 0
Let 2*l - 38*l - 4*l**2 + 6*l - 38*l - 120 = 0. What is l?
-15, -2
Let o(w) = -3 - 4 - 5 - w + 13 + w**2. Let a(k) = 4*k**2 - 12*k - 7. Suppose 0 = 4*f - 3*q + 2*q - 4, -2*f + q = -2. Let m(t) = f*a(t) + o(t). Solve m(x) = 0.
-2/5, 3
Let j(i) be the first derivative of 3*i**4/4 + 36*i**3 + 486*i**2 - 78. Determine z so that j(z) = 0.
-18, 0
Let y(n) be the first derivative of 2*n**3/3 + 13*n**2 + 24*n - 57. Factor y(g).
2*(g + 1)*(g + 12)
Suppose 104/3*i + 4/3*i**2 - 36 = 0. Calculate i.
-27, 1
Let k(h) = h**4 - h**3 + h**2 + h - 1. Let l(w) = 6*w**4 - w**3 + 8*w**2 + w - 9. Suppose 12*m = -20 + 8. Let q(u) = m*l(u) + 5*k(u). What is g in q(g) = 0?
-2, -1, 1
Let 2/3*y**2 + 16*y + 0 = 0. What is y?
-24, 0
Let u(l) = l**2 + 11*l - 10. Let v be u(-12). Let c be (-2)/1 - -2 - -2. Solve -v*o**2 + o + c*o - 3*o + 4*o - 2 = 0 for o.
1
Let a(k) be the third derivative of k**8/2520 - k**6/540 - k**3 - 2*k**2. Let j(u) be the first derivative of a(u). Determine n, given that j(n) = 0.
-1, 0, 1
Suppose 12*t - 36 = -6*t. Let 9/2*k**t + 3/2 - 6*k = 0. What is k?
1/3, 1
Let s(v) be the first derivative of 2*v**6/21 - 56*v**5/5 - 402*v**4/7 - 2432*v**3/21 - 814*v**2/7 - 408*v/7 + 825. Factor s(t).
4*(t - 102)*(t + 1)**4/7
Let r be (-10 + (-3 - -9))*3/(-168). Let h(i) be the first derivative of 8 + 1/7*i**2 + 0*i + 4/21*i**3 + r*i**4. Solve h(y) = 0 for y.
-1, 0
Suppose -11 = 5*b + 2*g, -5*g + 3 = -7. Let w be b*(-1 - -3 - 8). Find z, given that -w*z + 27/2*z**2 + 6 = 0.
2/3
Let w(n) be the third derivative of -1/20*n**5 + 0*n + 27*n**2 + 1/2*n**3 + 3/8*n**4 - 3/40*n**6 + 0. Factor w(j).
-3*(j - 1)*(j + 1)*(3*j + 1)
Let h be (-9)/(36/8 - 9). Factor 4/3*f**h - 8/3*f + 4/3.
4*(f - 1)**2/3
Suppose 0 = -2*n - 140*p + 141*p + 82, 2*n = -p + 78. Let -n + 8*b - 2/5*b**2 = 0. What is b?
10
Find u such that 67*u**3 + 12*u**2 + 3 - 29*u**4 - 38*u**2 - 31*u**2 + 9*u**5 + 24*u - 7 - 10*u**4 = 0.
2/3, 1
Factor -1/8*f**3 + 27/8*f + 7/4 + 3/2*f**2.
-(f - 14)*(f + 1)**2/8
Let s(o) = 7*o**3 + 15*o**2 + 3*o - 5. Let g(x) = 3*x**3 + 7*x**2 + x - 2. Let q(k) = 9*g(k) - 4*s(k). Let i(t) be the first derivative of q(t). Factor i(d).
-3*(d - 1)**2
Solve 54*i**5 - 398/3*i**2 + 442*i**3 - 56/3*i - 294*i**4 + 8 = 0 for i.
-2/9, 1/3, 2, 3
Let i(d) be the second derivative of d**6/45 - 4*d**5/15 + 7*d**4/6 - 2*d**3 - 27*d. Factor i(k).
2*k*(k - 3)**2*(k - 2)/3
Let u(c) be the first derivative of -c**6/80 - c**5/20 - c**4/16 + 19*c**2/2 - 19. Let d(s) be the second derivative of u(s). Determine m so that d(m) = 0.
-1, 0
Let t(f) be the first derivative of 16 + 0*f**3 + f**4 + 2*f - 2/5*f**5 - 2*f**2. Let t(l) = 0. What is l?
-1, 1
Let f(y) be the second derivative of -y**6/40 - 81*y**5/160 - 63*y**4/32 - 47*y + 1. Let f(z) = 0. Calculate z.
-21/2, -3, 0
Let v(n) be the first derivative of -1/16*n**4 - 5*n + 3/80*n**5 + 3/2*n**2 + 6 - 1/2*n**3. Let r(c) be the first derivative of v(c). Factor r(b).
3*(b - 2)*(b - 1)*(b + 2)/4
Let n(w) be the third derivative of w**6/8 - w**5/6 - 5*w**4/8 + 5*w**3/3 - 44*w**2 + 2*w. Solve n(t) = 0 for t.
-1, 2/3, 1
Let u(l) be the first derivative of l**7/336 + l**6/180 - l**5/240 + 2*l**3/3 - 15. Let b(f) be the third derivative of u(f). Factor b(j).
j*(j + 1)*(5*j - 1)/2
Let u(h) = -7*h**5 + 12*h**4 - 4*h**3 - 15*h**2 + 5*h - 3. Let d(o) = -o**5 - o**2 - o - 1. Let y(z) = 3*d(z) - u(z). Suppose y(q) = 0. Calculate q.
-1, 0, 1, 2
Suppose -13*s**5 - 61*s**4 + 105*s**3 + 245*s**2 - 23*s**4 - 9*s**5 + 19*s**4 - 60 + 40*s - 3*s**5 = 0. What is s?
-3, -1, 2/5, 2
Let z = 39946/7 + -5706. Let 2/7*i**2 + z - 6/7*i = 0. What is i?
1, 2
Let l(o) = -o**4 - o**3 - o. Let p(z) = 3*z**2 + 10*z + z - z - 4*z. Let r(x) = 3*l(x) + p(x). Suppose r(c) = 0. Calculate c.
-1, 0, 1
Let j(q) = q + 4. Let r(i) = 2*i**2 - 27*i + 70. Let p(n) = 2*j(n) - 2*r(n). Factor p(v).
-4*(v - 11)*(v - 3)
Factor 0 + 26/5*x**2 + 16*x + 2/5*x**3.
2*x*(x + 5)*(x + 8)/5
Let p be (-8)/(-2 + 18)*0. Let b(t) be the second derivative of 0*t**2 + 1/3*t**3 - 1/6*t**4 + p + 6*t. Determine l so that b(l) = 0.
0, 1
Let q(v) be the first derivative of -v**5/40 - v**4/4 - v**3/4 + v**2/2 + 7*v/8 + 222. Determine a, given that q(a) = 0.
-7, -1, 