60))/((-2)/z). Solve -3/4*s**3 + p*s**2 + 0 + 1/4*s = 0.
-1/3, 0, 1
What is q in -2*q**4 - 7*q**4 + 1396*q**3 - 471*q - 1285*q**3 + 0*q**4 + 126 + 28*q**2 + 215*q**2 = 0?
-3, 1/3, 1, 14
Factor -2/3*c**2 + 4/3*c**3 + 0*c + 0 - 2/3*c**4.
-2*c**2*(c - 1)**2/3
Let u(b) = -3*b**3 + 65*b**2 + 66*b - 2. Let p(m) = 8*m**3 - 195*m**2 - 196*m + 7. Let f(c) = 2*p(c) + 7*u(c). Factor f(j).
-5*j*(j - 14)*(j + 1)
Factor -b**2 + 49/3*b - 16/3.
-(b - 16)*(3*b - 1)/3
Factor 2/7*t**2 - 58/7*t + 0.
2*t*(t - 29)/7
Let f(k) be the third derivative of k**7/1575 + k**6/30 + 33*k**5/50 + 6*k**4 + 144*k**3/5 - 9*k**2 + 25. Determine n, given that f(n) = 0.
-12, -3
Let g(r) be the third derivative of 0*r + 0*r**3 + 0*r**4 + 1/360*r**6 + 0 + 1/90*r**5 - 1/630*r**7 - 16*r**2. Factor g(p).
-p**2*(p - 2)*(p + 1)/3
Let v = 142/69 - 119/69. Factor -v*o**4 + 0 - 3*o**3 - 16/3*o - 8*o**2.
-o*(o + 1)*(o + 4)**2/3
Let u(s) be the second derivative of s**6/105 + 2*s**5/35 + s**4/14 + 5*s - 8. Factor u(j).
2*j**2*(j + 1)*(j + 3)/7
Let w(u) = -u**3 - 5*u**2 + u - 17. Let f be w(-6). Factor -t + 6*t + 23 - 5*t**2 - f + 0*t.
-5*(t - 2)*(t + 1)
Let k be (8 - 2912/360) + 1/5. Let z(o) be the second derivative of -k*o**3 + 0 + 1/36*o**4 + 1/6*o**2 + 3*o. Factor z(d).
(d - 1)**2/3
Factor -15*m**2 + 178*m**3 + 15 - 2*m - 173*m**3 - 3*m.
5*(m - 3)*(m - 1)*(m + 1)
Let q be 11/44 + 108/80 + 4/10. Factor 0*o + 0 + 15/7*o**3 + 1/7*o**5 - 9/7*o**q - o**4.
o**2*(o - 3)**2*(o - 1)/7
Let y(s) = -s**3 + 6*s**2 - 5*s + 4. Let u be y(5). Let v be (u - 1)/(-17 - -18). Find h, given that 2/9*h**v + 0*h + 4/9*h**2 + 0 = 0.
-2, 0
Let l = 45 + -48. Let q = l + 5. Factor 1/2*b - 1/2*b**q + 0.
-b*(b - 1)/2
Suppose 12 + 176 = m - 2*h, 2*h - 752 = -4*m. Let y = m - 188. Factor 2/5*w**2 + 2/5*w**4 + 4/5*w**3 + y*w + 0.
2*w**2*(w + 1)**2/5
Find c, given that 864/5*c + 0 + 1152/5*c**2 + 96/5*c**4 + 6/5*c**5 + 528/5*c**3 = 0.
-6, -2, 0
Let g(q) be the third derivative of -q**6/720 + q**5/120 + q**4/16 + 5*q**3/36 + 12*q**2 + 33. Factor g(f).
-(f - 5)*(f + 1)**2/6
Let w(o) be the third derivative of -o**8/84 - 6*o**7/35 - 23*o**6/30 - o**5 + 5*o**2. Suppose w(r) = 0. Calculate r.
-5, -3, -1, 0
Determine l so that -10/9*l**2 + 0 - 4/9*l = 0.
-2/5, 0
Let b(j) be the first derivative of 0*j + 0*j**2 + 14 - 5/3*j**3. Factor b(q).
-5*q**2
Suppose u = -p + 5 - 0, 3*p - 4*u = 15. Let -8*d**3 + 20*d**4 - 2*d**3 - 15*d**3 - 5*d**p + 10*d**2 = 0. Calculate d.
0, 1, 2
Let c be ((-21)/6)/(1/58). Let k = -201 - c. Suppose -b**4 + 0 + b**k + 1/2*b + 0*b**3 - 1/2*b**5 = 0. What is b?
-1, 0, 1
Let d = 703 + -336. Let s = d + -1459/4. Factor 27/4*f**3 - s*f**2 + 0 + 1/4*f - 27/4*f**4.
-f*(3*f - 1)**3/4
Suppose -5*j - 10 = -2*z, 8 = -2*z - j + 6. Let s(n) be the first derivative of 3*n**4 - 3 - 3/2*n**6 - 2*n**3 + z*n + 6/5*n**5 - 3/2*n**2. Solve s(t) = 0.
-1, -1/3, 0, 1
Find y such that -40/11*y + 48/11*y**2 - 18/11*y**3 + 2/11*y**4 + 0 = 0.
0, 2, 5
Let l(j) be the third derivative of -j**7/42 + j**6/3 - 4*j**5/3 + 176*j**2 - 1. Suppose l(z) = 0. Calculate z.
0, 4
Let v(g) be the third derivative of -g**5/24 - 25*g**4/12 + 35*g**3/4 - 323*g**2. What is h in v(h) = 0?
-21, 1
Let h be (3 - ((-926)/10)/(-1)) + 3. Let g = h - -87. Let 2*p**3 - g*p**2 - 14/5*p**4 + 0 + 6/5*p**5 + 0*p = 0. Calculate p.
0, 1/3, 1
Suppose 0 = -244*i - 82*i - 3*i + 658. Suppose 0*b + 0 - 1/2*b**5 + 0*b**i + 1/6*b**3 - 1/3*b**4 = 0. What is b?
-1, 0, 1/3
Factor -96 - 8*g**2 - 100*g + 232*g**3 - 233*g**3 - 20*g**2.
-(g + 2)**2*(g + 24)
Let s(d) be the third derivative of d**6/720 - d**5/30 + 29*d**4/144 - d**3/2 + 29*d**2. Solve s(w) = 0 for w.
1, 2, 9
Solve 0*z**2 + z**2 + 43267*z**3 - 43271*z**3 = 0 for z.
0, 1/4
Let f(h) be the first derivative of h**4/8 + 4*h**3/3 + 17*h**2/4 + 5*h - 318. Let f(v) = 0. Calculate v.
-5, -2, -1
Let c(o) be the second derivative of 4*o**7/63 - 64*o**6/45 + 41*o**5/6 - 53*o**4/6 + 4*o**3 + 11*o - 17. Let c(g) = 0. Calculate g.
0, 1/2, 3, 12
Suppose -5*z = -34 + 4. Determine y so that z - 1 - 42*y**2 - 13 - 32*y - 18*y**3 = 0.
-1, -2/3
Let t(r) be the first derivative of r**4/36 + 10*r**3/27 + 17*r**2/18 + 8*r/9 - 180. Factor t(i).
(i + 1)**2*(i + 8)/9
Let h(m) be the first derivative of 7/3*m**2 - 10/9*m**3 - 2*m - 10 + 1/6*m**4. Find w, given that h(w) = 0.
1, 3
Determine z so that 127*z**2 - 80 - 47*z**2 - 123*z**3 + 60*z + 58*z**3 + 5*z**5 = 0.
-4, -1, 1, 2
Let q = 135 + -133. Solve -2*n**q + 0*n**3 - 6*n**3 + 283*n + 4 - 2*n**4 - 277*n = 0.
-2, -1, 1
Let z(a) be the second derivative of 1/33*a**3 + 5*a + 0*a**2 + 0*a**6 + 1/231*a**7 - 1/55*a**5 + 0*a**4 + 0. Solve z(d) = 0 for d.
-1, 0, 1
What is r in -2560 - 2/5*r**4 + 96/5*r**3 + 1536*r - 1472/5*r**2 = 0?
4, 20
Let h(p) be the second derivative of -p**6/120 + p**4/6 + p**2/2 - 3*p. Let q(v) be the first derivative of h(v). Solve q(a) = 0.
-2, 0, 2
Let i(c) = 125*c**3 + 2325*c**2 + 17585*c - 45305. Let m(s) = -9*s**3 - 166*s**2 - 1256*s + 3236. Let j(n) = -4*i(n) - 55*m(n). Factor j(l).
-5*(l - 2)*(l + 18)**2
Let i be ((-2)/(-46))/((-91)/(-182)). Suppose i*h**4 - 8/23*h - 8/23*h**3 + 2/23 + 12/23*h**2 = 0. Calculate h.
1
Let t(n) be the first derivative of -81*n**2 + 0*n - 4*n - 16*n**3 + 67*n**2 + 6. Factor t(b).
-4*(3*b + 1)*(4*b + 1)
Let c(z) be the third derivative of z**5/390 - 23*z**4/156 - 50*z**3/39 + 9*z**2 + 14*z. Solve c(s) = 0.
-2, 25
Let q(n) be the second derivative of 5*n**7/126 + n**6/9 - 5*n**5/4 + 5*n**4/9 + 50*n**3/9 - 11*n - 2. Determine j, given that q(j) = 0.
-5, -1, 0, 2
Factor -1/2*y**2 + 39/2 - 19*y.
-(y - 1)*(y + 39)/2
Let n(j) be the first derivative of -4/3*j**3 - 48*j + 12*j**2 - 32 + 1/18*j**4. Let n(f) = 0. Calculate f.
6
Let g(n) be the first derivative of n**4/42 - 40*n**3/63 - 15. Suppose g(m) = 0. Calculate m.
0, 20
Let n = -59 + 57. Let p(w) = -4*w**4 - w**3 + w**2 + w. Let y(s) = 4*s**4 + 2*s**3 - 2*s**2 - 2*s. Let b(z) = n*p(z) - 3*y(z). Find u such that b(u) = 0.
-1, 0, 1
Let k(a) = a**3 - a**2 + a. Let u(g) = 1 - g**3 - 1 - 3*g**4 - 3*g**2 + 3*g - g**5 - g. Let j(i) = -6*k(i) + 3*u(i). Let j(v) = 0. Calculate v.
-1, 0
Factor 0*h + 0 + 1/7*h**3 - 1/7*h**4 - 1/7*h**5 + 1/7*h**2.
-h**2*(h - 1)*(h + 1)**2/7
Suppose 5*d - 4*f = 310, 7*d - 3*d + 2*f = 248. Factor -4*k**2 - d*k - 6 + 26*k - 2 + 24*k.
-4*(k + 1)*(k + 2)
Let q = 4061/55 + -371/5. Let i = 27/44 + q. Let 1/2*x - i*x**2 - 1/4 = 0. What is x?
1
Let r(y) be the second derivative of 0*y**2 - 2*y + 1/20*y**5 + 0*y**4 - 1/6*y**3 + 0. Factor r(p).
p*(p - 1)*(p + 1)
Solve -9*c**2 - 43 + 33*c**2 - 8*c**4 + 43 + 21*c**3 + 11*c**4 - 48*c = 0 for c.
-4, 0, 1
Let m(b) be the first derivative of 3*b**6/100 - 2*b**5/15 + b**4/15 - b**2 - 7. Let u(g) be the second derivative of m(g). Factor u(h).
2*h*(h - 2)*(9*h - 2)/5
Factor 16*k**3 + 40*k**5 - 24*k**2 - 37*k**5 - 28*k**3 + 6*k**4.
3*k**2*(k - 2)*(k + 2)**2
Let o(c) be the first derivative of -7/3*c**4 - 8/9*c**3 + 10 + 0*c**2 + 0*c. Factor o(d).
-4*d**2*(7*d + 2)/3
Let w(j) be the third derivative of -1/150*j**5 + 1/840*j**8 + 1/525*j**7 + 0*j + 1/30*j**4 + 7*j**2 - 1/100*j**6 + 0*j**3 + 0. Solve w(a) = 0.
-2, -1, 0, 1
Factor 6*t - 231*t**2 + 9 - 1 + 229*t**2.
-2*(t - 4)*(t + 1)
Suppose -5*z + 2*c = -10, 16*z = 15*z + 3*c - 11. Let a = 2 - 0. Solve 3*v**z + 21*v + 13*v**a + 13*v**2 + 15*v**3 + 6 + v**2 = 0.
-2, -1
Let s be 12/(-14)*(70/(-45) - 0). Let a(z) be the third derivative of -1/120*z**6 + 0 - s*z**3 + 0*z - 3*z**2 - 1/10*z**5 - 1/2*z**4. Let a(v) = 0. Calculate v.
-2
Let i(m) be the third derivative of m**5/45 - m**4/4 + 4*m**3/9 + 2*m**2 - 216*m. Factor i(z).
2*(z - 4)*(2*z - 1)/3
Solve -2/9*l**2 - 34/9*l - 32/9 = 0 for l.
-16, -1
Determine k, given that -16*k**3 + 10 - 4 - 6 + 45*k - 10*k**4 + 10*k**2 - 29*k = 0.
-8/5, -1, 0, 1
Factor -5/2*y**3 + 0*y + 0 - 5*y**2 + 5/2*y**4.
5*y**2*(y - 2)*(y + 1)/2
Let u(g) be the second derivative of g**5/3 + 17*g**4/9 - 88*g**3/9 - 40*g**2/3 + 83*g. Solve u(v) = 0.
-5, -2/5, 2
Let p(h) be the first derivative of -h**5/20 - h**4/3 + h**3/2 + 9*h**2 - 28*h - 3. Let m(w) be the first derivative of p(w). Factor m(c).
-(c - 2)*(c + 3)**2
Let 0*o + 1/4 - 1/4*o**2 = 0. Calculate o.
-1, 1
Suppose -13*i + 5*i = 16. Let g be 4/(i/(-4) + 1). Find o, given that -2/3*o**2 - 8/3*o - g = 0.
-2
Let l(t