**5 + 6*n**3 + t - 2*n**4 + 8*n**4 - 12*n**2 - 3*n + n**5 = 0. What is n?
-1, 1, 2
Let r(s) = 7*s**3 - 11*s**2 - 5*s + 13. Let o(g) = 12 + 6*g**3 - 3*g - g - 11*g**2 + g**2. Let x(u) = -5*o(u) + 4*r(u). What is b in x(b) = 0?
-1, 2
Suppose 2*h = 3*v + 21, 0 = -3*h + 2*v + 2*v + 29. Let p be ((-5)/(-25))/((-1)/(-6)). Factor -p + 4/5*r - 4/5*r**h + 6/5*r**2.
-2*(r - 1)*(r + 1)*(2*r - 3)/5
Let h = 15061/60 + -251. Let v(j) be the third derivative of -h*j**5 + 0*j - 1/12*j**4 + 4*j**2 - 1/6*j**3 + 0. Factor v(m).
-(m + 1)**2
Let r = 169243/33111 + -1/3679. Let p = r - 44/9. Determine j, given that 0*j + 0 - p*j**2 = 0.
0
Factor 16*x + x**3 - 4*x**4 - x**3 + 2*x**4 - 10*x**3 + 2*x**5 + 8*x**2 - 2*x**3.
2*x*(x - 2)**2*(x + 1)*(x + 2)
Let z be ((-71)/497 + (2 - 1))/(10/42). Suppose -4/5*i**2 + z - 28/5*i**3 - 14/5*i**4 - 2/5*i**5 + 6*i = 0. What is i?
-3, -1, 1
Let u(y) = 4*y**4 + 57*y**3 + 23*y**2 - 123*y - 107. Let n(g) = g**4 + 28*g**3 + 12*g**2 - 62*g - 53. Let b(p) = -7*n(p) + 3*u(p). Factor b(t).
5*(t - 5)*(t - 2)*(t + 1)**2
Let k(w) = -3*w**5 - 16*w**4 + 12*w**3 - 7*w**2 + 14*w. Let a(p) = 2*p**5 + 11*p**4 - 8*p**3 + 5*p**2 - 10*p. Let m(t) = -7*a(t) - 5*k(t). Factor m(d).
d**3*(d - 1)*(d + 4)
Let a(x) be the second derivative of x**7/4284 - x**6/2040 - x**5/510 - 8*x**4/3 + 26*x. Let f(u) be the third derivative of a(u). Factor f(z).
2*(z - 1)*(5*z + 2)/17
Let z(k) = 10*k**3 + 2*k - 2. Let i be z(1). Suppose -8*c**2 + 7*c**3 + i*c**3 - 32*c**3 + 11*c**3 = 0. What is c?
-2, 0
Let d be (-1080)/(-5850)*(-10)/(-3). Let -2/13*f**3 + 2/13*f - 8/13*f**2 + d = 0. What is f?
-4, -1, 1
Find w, given that 3/7*w**3 - 3*w**2 + 24/7*w + 48/7 = 0.
-1, 4
Let v(g) be the first derivative of -16/9*g**3 - 2/15*g**5 - 5/6*g**4 - 4/3*g**2 + 0*g + 12. Suppose v(i) = 0. Calculate i.
-2, -1, 0
Suppose 0*i = 5*i + g - 16, 0 = -5*i - 5*g + 40. Factor -4*v - 2/3*v**i - 10/3.
-2*(v + 1)*(v + 5)/3
Let r(v) be the third derivative of 0 - 1/60*v**6 + 1/21*v**4 - 5*v**2 - 2/35*v**5 + 0*v**3 + 0*v. Factor r(j).
-2*j*(j + 2)*(7*j - 2)/7
Let t(x) be the second derivative of x**6/60 + 109*x**5/40 - 2*x - 75. Determine u, given that t(u) = 0.
-109, 0
Let a(z) be the second derivative of -z + 0 + 0*z**2 + 1/18*z**4 + 1/3*z**3. Suppose a(x) = 0. Calculate x.
-3, 0
Factor -5 - 61 - 6*g**2 + 32*g + 9*g**2 + 31*g.
3*(g - 1)*(g + 22)
Let l(q) = 4*q**2 - 2*q + 1. Let j be l(1). Suppose 4*v + 76 = -j*y + 5*y, 4*y = v + 124. Determine f so that 2 - 72*f**2 - 9 - 1 - y*f - 22*f = 0.
-1/2, -2/9
Let q(w) be the third derivative of -w**5/150 - 8*w**4/15 - 256*w**3/15 - 21*w**2 - w. Suppose q(s) = 0. Calculate s.
-16
Factor -8*u**3 + 16*u**2 - 40/3*u + 4 + 4/3*u**4.
4*(u - 3)*(u - 1)**3/3
Factor -232 + 12*t + 232 - 5*t**3 + 0*t**3 + t**3 - 8*t**2.
-4*t*(t - 1)*(t + 3)
Let k = 323 - 323. Let u(m) be the first derivative of 1/9*m**3 + k*m**2 + 0*m - 8. Find b, given that u(b) = 0.
0
Factor 0*v + 2/3*v**3 + 4/3*v**2 + 0.
2*v**2*(v + 2)/3
Let b(j) be the second derivative of -j**4/30 + 8*j**3/15 - 3*j**2 - 2*j - 76. Factor b(l).
-2*(l - 5)*(l - 3)/5
Suppose -4*s = 5*x - 11 + 31, -5*s = -2*x + 25. Suppose x*p**4 - 410*p**5 + 409*p**5 + p**4 = 0. Calculate p.
0, 1
Suppose k + 5*m - 8 = 0, -7*k + 11*k + 2*m = 14. What is w in -1/2*w**k + 1/2 + 3/2*w**2 - 3/2*w = 0?
1
Let m(u) be the first derivative of -u**3/27 - 7*u**2/9 + 5*u/3 - 14. Suppose m(p) = 0. Calculate p.
-15, 1
Let l(x) be the third derivative of -20*x**2 - 1/1008*x**8 + 0*x**5 + 0*x**7 + 0 + 0*x - 1/72*x**4 + 1/180*x**6 + 0*x**3. What is d in l(d) = 0?
-1, 0, 1
Let w(g) = g**3 - g**2 + g - 1. Let j = -24 - -25. Let n(u) = -15*u**3 + 12*u**2 - 9*u + 12. Let f(p) = j*n(p) + 12*w(p). What is d in f(d) = 0?
-1, 0, 1
Solve 8*j**4 + 2*j**4 - 53*j**3 + 3*j**5 + 8*j**4 - 52*j**3 - 96*j + 117*j**3 - 72*j**2 = 0 for j.
-4, -2, 0, 2
Let y be 2/8 - 98*4/32. Let g be y/9*6/(-4). Solve -3/2 - g*w - 1/2*w**2 = 0 for w.
-3, -1
Let y = -240943/15 - -16063. Determine o, given that 4/15*o**4 - y*o**5 + 0*o - 4/15*o**2 + 2/15*o**3 + 0 = 0.
-1, 0, 1, 2
Let o(v) = -4*v**2 + 274*v + 140. Let t be o(69). Factor -3/2 - 3/4*i + 3/4*i**3 + 3/2*i**t.
3*(i - 1)*(i + 1)*(i + 2)/4
Let u(t) be the first derivative of -1/6*t + 2/9*t**3 - 1/4*t**2 + 8. Suppose u(p) = 0. Calculate p.
-1/4, 1
Let f = -2 + 5. Let w(q) be the third derivative of 0*q + 0 + 1/12*q**6 - 7/15*q**5 - 8/15*q**f + 4*q**2 + 11/15*q**4. Determine v, given that w(v) = 0.
2/5, 2
Find l, given that 27 + 39/4*l + 3/4*l**2 = 0.
-9, -4
Let x(j) be the first derivative of -j**7/630 + j**6/270 - 2*j**3/3 - 18. Let s(v) be the third derivative of x(v). Factor s(y).
-4*y**2*(y - 1)/3
Let a(x) = -4*x**2 + 14*x - 2. Let n be (5 - 4)/(-1) - -4. Let p be a(n). Determine j, given that 0 + 2/11*j + 6/11*j**2 + 6/11*j**3 + 2/11*j**p = 0.
-1, 0
Find t, given that -3*t**3 + 63*t**5 + 18*t**2 - 12*t**4 + 53*t**5 - 119*t**5 = 0.
-3, -2, 0, 1
Let z(c) be the second derivative of 1/420*c**7 + 1/300*c**6 + 0*c**3 + 0*c**2 + 0*c**4 + 0 + 32*c + 0*c**5. Suppose z(a) = 0. What is a?
-1, 0
Let w(r) = -3*r**4 - 25*r**3 + 4*r**2 + 166*r - 100. Let b(z) = 6*z**4 + 49*z**3 - 7*z**2 - 330*z + 200. Let s(n) = 6*b(n) + 10*w(n). Factor s(l).
2*(l - 2)*(l + 5)**2*(3*l - 2)
Let p be 4/(-14) + (-194)/7. Let x(z) = 10*z**2 - 10*z - 14. Let o(w) = -2*w**2 + 2*w + 3. Let i = -259 + 253. Let m(n) = i*x(n) + p*o(n). Solve m(a) = 0.
0, 1
Let o(a) = -2*a**2 - 47*a + 130. Let y be o(-26). Factor -4/3*g**2 + 0 + y*g - 10/3*g**4 - 14/3*g**3.
-2*g**2*(g + 1)*(5*g + 2)/3
Let r(a) = -2*a**4 + 76*a**3 + 318*a**2 + 442*a + 196. Let t(i) = 7*i**4 - 302*i**3 - 1271*i**2 - 1769*i - 784. Let u(w) = -23*r(w) - 6*t(w). Factor u(v).
4*(v + 1)**2*(v + 7)**2
Let q be 7/14 + -7*2/(-4). Suppose 3*a = -2*a + 15. Solve 4*o**q - a - 3 + 2*o**4 - 3*o**3 - 9*o**2 - 3*o**4 + 15*o = 0 for o.
-2, 1
Factor -9*f**2 + 4 - 16*f - 41*f + 41*f.
-(f + 2)*(9*f - 2)
Let l(s) = 2*s**2 - 7*s - 10. Let o be l(5). Suppose q + 2*w + 8 = 0, o*w + 18 = -3*q - 2. Factor q + 0*z - 4/7*z**3 + 2/7*z**2.
-2*z**2*(2*z - 1)/7
Let w(z) be the second derivative of z**4/18 - 17*z**3/9 + 2*z + 148. Determine c so that w(c) = 0.
0, 17
Let f = 16 + -18. Let z be ((-21 - -6) + 3)*f/28. Factor z*s + 0*s**2 - 4/7 - 2/7*s**3.
-2*(s - 1)**2*(s + 2)/7
Let o be ((-8)/14)/(4/(-28)). Suppose -4*l = -5*y + 7 - 24, -4*l - o*y + 8 = 0. Let 2/3*w**5 + 4/3*w**2 - 2*w**4 - 2*w + 2/3 + 4/3*w**l = 0. What is w?
-1, 1
Let d(c) be the second derivative of -11*c - 5/6*c**3 + 1/4*c**5 - 5/12*c**4 + 0 + 5/2*c**2. Factor d(w).
5*(w - 1)**2*(w + 1)
Factor 18064*j**2 - 31 - 3*j**3 - 18037*j**2 - 25 + 36*j - 4.
-3*(j - 10)*(j - 1)*(j + 2)
Let r(i) be the third derivative of i**6/90 - i**5/3 + 25*i**4/6 - 5*i**3/6 - 7*i**2 + 2. Let s(z) be the first derivative of r(z). Factor s(l).
4*(l - 5)**2
Let u(r) be the third derivative of r**6/120 + r**5/40 - 5*r**3/2 + 39*r**2. Let h(n) be the first derivative of u(n). Factor h(c).
3*c*(c + 1)
Suppose 79*l - 916 = -758. Solve -4/9 + 4/3*k**l - 8/9*k**4 - 14/9*k + 14/9*k**3 = 0.
-1, -1/4, 1, 2
Let h(l) be the first derivative of -5*l**3/3 + 5*l**2/2 + 34. Factor h(p).
-5*p*(p - 1)
Suppose 0*b**2 + 1/3*b**5 + 44/3*b**4 + 0 + 0*b + 484/3*b**3 = 0. Calculate b.
-22, 0
Let h(k) be the second derivative of -19*k**5/12 + 65*k**4/12 - 5*k**3/9 - 417*k. What is v in h(v) = 0?
0, 1/19, 2
Solve -2/9*c**2 - 2/9*c**3 + 2/9*c + 2/9 = 0.
-1, 1
Let b(w) be the first derivative of 1 + 1/12*w**3 + 3/4*w - 1/2*w**2. Suppose b(x) = 0. Calculate x.
1, 3
Let r(w) be the first derivative of 2*w**3 + 37*w - w**3 - 8*w - 5 + 12*w**2 + 19*w. Determine h so that r(h) = 0.
-4
Let c(f) be the first derivative of -f**4/26 + 12*f**2/13 - 32*f/13 - 48. Let c(n) = 0. What is n?
-4, 2
Let g be (-2)/(-4)*3*4/240. Let u(a) be the second derivative of -1/12*a**3 + 0*a**4 + 3*a + g*a**5 + 0 + 0*a**2. Factor u(p).
p*(p - 1)*(p + 1)/2
Let d(s) be the third derivative of -s**7/105 + 3*s**6/20 + s**5/30 - 3*s**4/4 - 2*s**2 - 6. Factor d(c).
-2*c*(c - 9)*(c - 1)*(c + 1)
Let h = -646531/23 + 28111. Factor -12/23 - 12/23*v**2 - 2/23*v**3 - h*v.
-2*(v + 1)*(v + 2)*(v + 3)/23
Let x = 28 + -25. Suppose -5*z + 9 = -x*f, f + 2*f + 2*z - 12 = 0. Factor 1/10*o**f + 3/10*o + 0.
o*(o + 3)/10
Let a = -1/10 + 107/20. Solve -3/4*y**4 