 + 0 + 2/3*b**2 - 2/3*b**3 + 2/9*b**4 = 0. What is b?
0, 1
Let p be 68/(-119)*21/(-18). Find o, given that 2/3*o + 2/3*o**4 - p*o**2 + 4*o**5 + 0 - 14/3*o**3 = 0.
-1, -1/2, 0, 1/3, 1
Let l(k) be the first derivative of -5*k**4/4 - 290*k**3/3 + 5*k**2/2 + 290*k - 395. Solve l(d) = 0 for d.
-58, -1, 1
Let k = -34 - -48. Suppose 0 = 15*w - k*w - 5. Suppose u**4 - 3*u**w - 4*u**4 + 3*u**2 + 12*u**3 - 9*u**3 = 0. What is u?
-1, 0, 1
Let i(w) be the third derivative of -w**8/16800 - w**7/2100 + w**5/75 + w**4/2 - 8*w**2. Let l(p) be the second derivative of i(p). Factor l(m).
-2*(m - 1)*(m + 2)**2/5
Let u(w) be the second derivative of -w**6/75 + w**5/25 + 11*w**4/30 - 4*w**3/5 - 36*w**2/5 + 960*w. Factor u(a).
-2*(a - 3)**2*(a + 2)**2/5
Factor -1/5*m**3 + 0*m + 0 - 22/5*m**2.
-m**2*(m + 22)/5
Factor -3/7*p**2 + 411/7*p + 414/7.
-3*(p - 138)*(p + 1)/7
Suppose 2*z - 7 - 1 = 0. Factor -4*x - 6*x**3 - 7*x - 2*x**z + 4 - 2*x**2 + 22*x - 5*x.
-2*(x - 1)*(x + 1)**2*(x + 2)
Let g(a) be the third derivative of -a**5/150 - 2*a**4/15 + 4*a**3/3 - 14*a**2 + 3. Determine k so that g(k) = 0.
-10, 2
Factor 492/5*c**2 - 334/5*c + 56/5 + 18/5*c**3.
2*(c + 28)*(3*c - 1)**2/5
Suppose 6*w = -0*w + 18. Let f be (8/((-800)/270))/((-3)/5). Suppose 3*b**2 - 3/2*b + f*b**w + 0 = 0. What is b?
-1, 0, 1/3
Let z(t) = -t**2 - 31*t - 168. Let g be z(-24). Factor -10/13*q**2 + 14/13*q**3 + g - 4/13*q.
2*q*(q - 1)*(7*q + 2)/13
Let h = -14 + 18. Factor -h*a**2 - 71*a + 9 + 77*a + a**2.
-3*(a - 3)*(a + 1)
Let m(s) = 30*s**3 - 320*s**2. Let h(b) = -7*b**3 + 80*b**2. Let z(x) = 25*h(x) + 6*m(x). Factor z(o).
5*o**2*(o + 16)
Let g(b) = 3*b - 15. Let c be g(6). Solve -2*k**2 + 0*k**c + 38*k - 37*k + 0*k**3 + 2 - k**3 = 0 for k.
-2, -1, 1
Let j(t) be the third derivative of t**7/945 - 13*t**6/540 + 2*t**5/45 + 30*t**2 - 13. Suppose j(n) = 0. What is n?
0, 1, 12
Let k(x) be the first derivative of -x**8/3920 + x**7/980 + x**6/280 + 7*x**3/3 - 31. Let d(o) be the third derivative of k(o). Find c, given that d(c) = 0.
-1, 0, 3
Let b be 7/((-42)/36) - (3 + -4). Let u be -1 - (b - 10/(-15)). Factor 0 - u*o**2 - 4/3*o.
-2*o*(5*o + 2)/3
Let w(r) be the third derivative of -r**6/40 + r**5/5 - r**4/8 - 3*r**3 - 2*r**2 - 50*r. Factor w(s).
-3*(s - 3)*(s - 2)*(s + 1)
Let i(l) = -2*l - 11. Let f be i(-8). Factor -f*p**3 + 338 + 336 - 674 - 5*p**4.
-5*p**3*(p + 1)
Let s be 48/12 - (1 - 1). Suppose 5*u + s*b + 16 = u, 5*b + 20 = -2*u. Factor u + 1/7*f**2 - 1/7*f.
f*(f - 1)/7
Let j be ((-24)/9)/(6/(-9)). Factor -j*b**3 - 4*b**4 + b + 2*b**5 + 4*b**2 + 2*b**4 + 0 - 2 + b.
2*(b - 1)**3*(b + 1)**2
Let d(n) be the third derivative of 0 - 11*n**2 - 5/24*n**4 + 0*n + 0*n**3 + 1/6*n**5 - 1/24*n**6. Factor d(h).
-5*h*(h - 1)**2
Let f(m) = m - 3. Let c(r) = r**2 + 4*r + 5. Let s be c(-4). Let t be f(s). Solve -4*j + t - 4*j**2 + 0 - 2 = 0 for j.
-1, 0
Let -24/5*j**2 - 32/5*j**3 - 6/5*j**4 + 2/5*j**5 + 0 + 0*j = 0. What is j?
-2, -1, 0, 6
Determine u so that 5000/3 + 1/6*u**2 + 100/3*u = 0.
-100
Factor -11/5*m + 19/5*m**2 - 13/5*m**3 + 3/5*m**4 + 2/5.
(m - 2)*(m - 1)**2*(3*m - 1)/5
Let w(z) be the second derivative of 10*z - 1/3*z**3 - 2/15*z**4 - 2/5*z**2 + 0 - 1/50*z**5. What is l in w(l) = 0?
-2, -1
Let m(a) = 7*a**2 - 14*a + 49. Let u(n) = -11*n**2 + 20*n - 73. Let j(q) = 8*m(q) + 5*u(q). Factor j(c).
(c - 9)*(c - 3)
Let i(l) be the third derivative of -3*l**6/10 - 7*l**5/15 + 28*l**4/3 - 8*l**3 + 7*l**2 - 5. Solve i(b) = 0.
-3, 2/9, 2
Let i(g) = -2*g - 24. Let m be i(-17). Factor 5*u**3 + 2 - 2*u**4 - 14*u + m*u - u**3.
-2*(u - 1)**3*(u + 1)
Let a(d) be the second derivative of d**4/10 + 7*d**3/10 - 33*d**2/5 - 513*d. Solve a(c) = 0.
-11/2, 2
Determine r, given that 12*r**3 + 12*r**3 + 86*r**2 + 9687*r**4 + 0*r + 48*r - 9685*r**4 - 160 = 0.
-5, -4, 1
Let g(k) = k. Let i be g(0). Suppose -5*l - 14 = -2*h - 3*l, -16 = 4*l. Let 4*c**3 + i*c**3 + 4*c**2 + 10*c**h = 0. What is c?
-2/7, 0
Let u(i) be the first derivative of 2*i**6/3 + 36*i**5/5 + 24*i**4 + 80*i**3/3 + 352. Let u(n) = 0. Calculate n.
-5, -2, 0
Let f(b) = b + 4. Let t(l) = -l + 14. Let q be t(10). Let m be f(q). Determine g, given that m*g**2 - 11*g**4 + 2*g + 2*g**2 + 9*g**4 + 6*g**3 - 16*g**4 = 0.
-1/3, 0, 1
Let h(g) be the third derivative of g**6/960 + g**5/480 - g**4/192 - g**3/48 - 2*g**2 - 10. Factor h(m).
(m - 1)*(m + 1)**2/8
Let n(v) = v**4 + v**3 + v**2 + v - 1. Let l(p) = -2*p**4 - p**3 + p**2 - p. Suppose -4 = -5*c + 1. Let j(u) = c*l(u) + n(u). What is a in j(a) = 0?
-1, 1
Factor -1/2*c**3 + 2*c - 1/2*c**4 + 3*c**2 - 4.
-(c - 2)*(c - 1)*(c + 2)**2/2
Let x be 0 + (48/(-16) - 70/(-22)). Suppose -x*u**2 + 0*u + 8/11 = 0. Calculate u.
-2, 2
Let n = -7599/5 - -1520. What is c in n*c - 2/5 + 1/5*c**2 = 0?
-2, 1
Let l(f) be the third derivative of f**6/320 - 3*f**5/80 - 7*f**4/64 + 15*f**3/4 + f**2 + 245*f. Factor l(r).
3*(r - 5)*(r - 4)*(r + 3)/8
Let q(s) = 44*s**4 + 171*s**3 + 296*s**2 - 10*s - 179. Let a(l) = 15*l**4 + 57*l**3 + 99*l**2 - 3*l - 60. Let j(i) = -17*a(i) + 6*q(i). Factor j(o).
3*(o + 1)*(o + 3)**2*(3*o - 2)
Let w(o) = -157*o - 8478. Let h be w(-54). Factor -10/9*x**3 - 2/9*x**2 + h + 10/9*x + 2/9*x**4.
2*x*(x - 5)*(x - 1)*(x + 1)/9
Let t(z) = -13*z**3 - 35*z**2 + 602*z - 2751. Let f(s) = 11*s**3 + 36*s**2 - 600*s + 2750. Let m(i) = -7*f(i) - 6*t(i). Let m(j) = 0. What is j?
14
Let 3*h**2 - 65 - 52*h - 14*h + 26 - 21 + 9*h = 0. Calculate h.
-1, 20
Suppose 15 = -5*k - 295*q + 298*q, 0 = 5*q - 25. Suppose -2/9*y + k + 8/9*y**2 = 0. Calculate y.
0, 1/4
Let a(h) be the second derivative of -h**6/105 + 3*h**5/35 + h**4/6 - 16*h**3/7 + 36*h**2/7 + 84*h + 1. Let a(n) = 0. What is n?
-3, 1, 2, 6
Let w(d) be the second derivative of 1/15*d**4 - 4/15*d**3 - 6/5*d**2 - 20*d + 0. Factor w(r).
4*(r - 3)*(r + 1)/5
Let n(p) = 4*p + 10. Let v be n(6). Factor v*b - 180 + 27*b - b - 5*b**2.
-5*(b - 6)**2
Let r = 182 + -108. Let i = 226/3 - r. Find u, given that 2/3*u**5 + 2*u - 8/3*u**3 + 0*u**4 - 4/3 + i*u**2 = 0.
-2, -1, 1
Let m = 2283 - 15965/7. Factor -m*v - 4/7*v**2 - 16/7.
-4*(v + 2)**2/7
Factor 78*t**2 - 12*t**3 - 216*t + 2/3*t**4 + 216.
2*(t - 6)**2*(t - 3)**2/3
Suppose -2*q = 1 - 5. Factor z**2 + z**2 - 2 + q + z**3.
z**2*(z + 2)
Suppose 5*s + 5 = -4*p, -56 = -2*p - 66. Solve 0 - s*z**3 + 8*z**2 + 1/3*z**4 - 16/3*z = 0.
0, 1, 4
Let f be (234/405)/(8/20). Let m(v) be the second derivative of 8/3*v**2 + 0 + 2/45*v**6 + 8/3*v**3 + 2/5*v**5 + f*v**4 + v. Factor m(j).
4*(j + 1)**2*(j + 2)**2/3
Let n(c) = -27*c**3 + 139*c**2 + 78*c. Let t(g) = g**3 - g**2 - 2. Let h(k) = n(k) - 5*t(k). Let h(m) = 0. Calculate m.
-1/4, 5
Let l(h) = -28*h**2 - 278*h - 75. Let f(w) = -28*w**2 - 276*w - 74. Let t(q) = -5*f(q) + 6*l(q). Factor t(z).
-4*(z + 10)*(7*z + 2)
Suppose 66 = y + 65. Let a be (-12)/(-7) + (-4)/(-14). Suppose 3*j**4 + 0*j**3 - 3*j - j**5 - y + 6*j**3 - 6*j**2 - a*j**5 + 4 = 0. What is j?
-1, 1
Let f(l) = l**3 + 13*l**2 + 7*l - 58. Let g be f(-12). Let i be (4 + g)*1*(-3)/(-6). Factor -z**4 + z**2 + 1/4*z**i - 1/4*z + 0.
-z*(z - 1)*(z + 1)*(4*z - 1)/4
Let s(p) be the first derivative of -p**4/16 - 17*p**3/12 + 338. Find m, given that s(m) = 0.
-17, 0
Let b(y) = -2*y**3 - 11*y**2 + 6*y + 7. Let q = -56 - -45. Let s(j) = j**3 + 6*j**2 - 3*j - 4. Let h(n) = q*s(n) - 6*b(n). Find t, given that h(t) = 0.
-2, 1
Suppose 0 = -2*h + 4*s + 160, -5*h - 2*s = 2*s - 330. Factor -h*t**2 - 288*t**4 - 76*t + 164*t**5 - 264*t**3 + 70*t - 36*t**5.
2*t*(t - 3)*(4*t + 1)**3
Let y(c) be the third derivative of -c**8/315 + 17*c**7/1575 + c**6/150 - 17*c**5/450 + c**4/90 + 295*c**2. Determine o so that y(o) = 0.
-1, 0, 1/8, 1, 2
Suppose 4*u = -2*k + 8, 5*k = -6*u + 5*u + 20. Suppose 0*i - 4*i + 8 = 0. Determine m so that 0*m + 2/5*m**i + 2/5*m**3 - 2/5*m**k + 0 - 2/5*m**5 = 0.
-1, 0, 1
Let v(d) be the first derivative of -3*d**5/25 + 27*d**4/20 + 36*d**3/5 + 109. Factor v(z).
-3*z**2*(z - 12)*(z + 3)/5
Suppose 5*c - 28 = 4*q, -31 = -5*c + q + 2*q. Suppose c = -4*d, k + 3*d = -d + 10. Let -k*f - 7*f + f + 3*f**2 + 48 = 0. Calculate f.
4
Let r(l) be the third derivative of l**7/1470 + l**6/420 - 3*l**5/35 - 27*l**4/28 - 9*l**3/2 - 76*l**2 + l. Suppose r(z) = 0. Calculate z.
-3, 7
Find c such that -10/3*c - 8 - 1/3*c**2 = 0.
-6, -4
Let d = 345 + -340. Let n(r)