3*t**g + 0 - 2/9*t**4 + 2/9*t**2 - 2/3*t = 0.
-1, 0, 1, 3
Determine n so that 4 + 11/3*n - 2/3*n**2 - 1/3*n**3 = 0.
-4, -1, 3
Let p(t) be the second derivative of -t**7/231 - t**6/165 + 7*t**5/110 + t**4/66 - 2*t**3/11 - 104*t. Find w such that p(w) = 0.
-3, -1, 0, 1, 2
Let w(q) be the first derivative of q**8/1008 - q**6/180 + q**4/72 - 13*q**2/2 + 31. Let g(h) be the second derivative of w(h). Factor g(j).
j*(j - 1)**2*(j + 1)**2/3
Let y be (5 + 10/(-8))*44. Suppose 157 = -2*g + y. Factor 1/3*h**2 - 1/3*h + 1/3*h**3 - 1/3*h**g + 0.
-h*(h - 1)**2*(h + 1)/3
Let z(y) be the first derivative of -y**6/15 + 12*y**5/25 + 19*y**4/10 - 16*y**3/5 - 36. Suppose z(u) = 0. What is u?
-3, 0, 1, 8
Let l be (1/(1/3))/(668/167). Determine m, given that -75/4 - l*m**2 - 15/2*m = 0.
-5
Let z(q) be the third derivative of q**8/48 - 2*q**7/35 + q**6/40 + q**5/30 + 12*q**2 - 1. Factor z(i).
i**2*(i - 1)**2*(7*i + 2)
Determine o, given that 22/3*o**3 - 22/3*o - 6*o**2 + 20/3 - 2/3*o**4 = 0.
-1, 1, 10
Let b(a) be the third derivative of a**2 - 1/12*a**4 + 1/60*a**6 + 0 + 0*a - 1/105*a**7 + 0*a**3 + 1/30*a**5. Let b(s) = 0. What is s?
-1, 0, 1
Factor 20*o - 36*o - o**3 + 16*o.
-o**3
Let n be -1*12/27 + (2 - 320/252). Factor 2/7*j - 2/7*j**2 - n*j**3 + 0 + 2/7*j**4.
2*j*(j - 1)**2*(j + 1)/7
Suppose 6 = v + 3. Factor -6*c**5 + 8*c**v + c**5 + c**5 - 4*c**4.
-4*c**3*(c - 1)*(c + 2)
Let c be 8 - (6 - (0 + 2)). Suppose -3*j - 32 = -4*m + j, 3*j = c*m - 27. Factor 2/5*f - 1/5*f**2 + 0 - 1/5*f**m.
-f*(f - 1)*(f + 2)/5
Factor 1/8*c**2 - 15/8 - 1/4*c.
(c - 5)*(c + 3)/8
Let o(l) be the first derivative of -33/10*l**2 + 3/25*l**5 - 29 - 12/5*l - 9/5*l**3 - 3/20*l**4. Factor o(h).
3*(h - 4)*(h + 1)**3/5
Find v such that -4/3*v**4 + 4/3*v**2 + 0 - 4/3*v + 4/3*v**3 = 0.
-1, 0, 1
Let d(t) be the first derivative of t**4/6 - 4*t**3/9 - 5*t**2/3 + 4*t + 487. Let d(u) = 0. Calculate u.
-2, 1, 3
Let z(p) be the second derivative of p**4/4 + 3*p**3 + 11*p**2 + p. Let h(j) = -5*j**2 - 35*j - 45. Let l(n) = 2*h(n) + 5*z(n). What is u in l(u) = 0?
-2
Let l(c) be the first derivative of 13*c**3/6 - 6*c**2 - 2*c - 122. Factor l(s).
(s - 2)*(13*s + 2)/2
Let y be ((-24)/(-15))/((-8)/(-20)). Suppose 30 = 5*d - 4*f, d + f + 4*f + 23 = 0. Factor -3*g**2 + 2*g**3 + y*g**2 - 5*g**d.
2*g**2*(g - 2)
Let u = 1061255 + -618711504/583. Let l = u - 5/53. Factor -4/11*d + l*d**2 + 4/11*d**3 - 2/11.
2*(d - 1)*(d + 1)*(2*d + 1)/11
Let h(k) be the first derivative of k**4 + 8*k**3 + 6*k**2 - 40*k - 18. Factor h(t).
4*(t - 1)*(t + 2)*(t + 5)
Factor -2/3*r**2 - 2/9*r**3 + 0*r + 8/9.
-2*(r - 1)*(r + 2)**2/9
Let g(a) = -a**3 - 6*a**2 + 12*a - 14. Let i be g(-8). Factor 22 + p**2 + p**2 - 7 + p**2 + i*p.
3*(p + 1)*(p + 5)
Suppose 0 = -5*z - 5*y + 220, 3 = -y + 7. Suppose 4*t - t + 2*m - 9 = 0, -4*m = -3*t - 9. Factor -24*o**3 + 10 - 40*o + 8*o**2 + 1 + 4*o**4 + z*o**2 + t.
4*(o - 3)*(o - 1)**3
Let g(x) be the second derivative of -x**6/20 + 7*x**5/30 + 11*x**4/6 - 8*x**3/3 + 17*x**2 + 50*x. Let v(n) be the first derivative of g(n). Factor v(c).
-2*(c - 4)*(c + 2)*(3*c - 1)
Let u(f) = -7*f**3 + 4*f**2 + 2*f. Let o(n) = -6*n**3 + 3*n**2 + 3*n. Let q(y) = 6*o(y) - 5*u(y). Let q(w) = 0. What is w?
-4, 0, 2
Let g(h) be the first derivative of -5/6*h + 8 - 1/3*h**4 - 1/30*h**5 - h**3 - 4/3*h**2. Factor g(k).
-(k + 1)**3*(k + 5)/6
Determine m so that 14/3*m + 1/3*m**2 + 0 = 0.
-14, 0
Let w(h) = h**3 + 3*h**2 - 2. Let q be w(-1). Suppose q = -18*g + 13*g. Factor 1/2*a**5 + g*a - 1/2*a**3 + a**2 - a**4 + 0.
a**2*(a - 2)*(a - 1)*(a + 1)/2
Let n = 2660161/1020 - 2608. Let f(d) be the third derivative of 1/68*d**4 + 0*d - 3*d**2 - 2/51*d**3 + 0*d**5 - n*d**6 + 0. Factor f(c).
-2*(c - 1)**2*(c + 2)/17
Let t(h) be the third derivative of -h**5/360 + 5*h**4/144 - h**3/9 + 12*h**2 - h. Factor t(w).
-(w - 4)*(w - 1)/6
Let g(d) = d**4 + 2*d**3 + d**2 + 1. Let q(j) = 4*j**4 + 4*j**3 + 3. Let y(n) = -6*g(n) + 2*q(n). Suppose y(l) = 0. What is l?
-1, 0, 3
Let f = 15103 + -60407/4. Find y such that f*y**2 + 20 - 10*y = 0.
4
Let l(k) be the first derivative of k**6/240 + k**5/80 - k**3/24 - k**2/16 - 2*k + 6. Let j(w) be the first derivative of l(w). What is z in j(z) = 0?
-1, 1
Let y(z) = -2*z**3 + 28*z**2 - 68*z + 48. Let s(n) = -2*n**2. Let c(a) = -3*s(a) - y(a). Factor c(p).
2*(p - 6)*(p - 4)*(p - 1)
Factor -22/3*s**2 + 14*s + 4/3.
-2*(s - 2)*(11*s + 1)/3
Let v(c) = 4*c**5 - 7*c**4 + c**3 + 17*c**2 - 5*c + 5. Let s(t) = t**5 - 4*t**4 + t**3 + 8*t**2 - 2*t + 2. Let u(y) = -5*s(y) + 2*v(y). Factor u(q).
3*q**2*(q - 1)*(q + 1)*(q + 2)
Let z(y) = 36*y**3 - 204*y**2 + 650*y - 482. Let g(j) = -5*j**3 + 29*j**2 - 93*j + 69. Suppose 55 - 19 = -6*q. Let c(s) = q*z(s) - 44*g(s). Factor c(w).
4*(w - 6)**2*(w - 1)
Let o(p) be the second derivative of p**5/60 - 13*p**3/18 - 2*p**2 - 100*p. Suppose o(m) = 0. What is m?
-3, -1, 4
Factor 47*n - 56*n**2 - 31*n + 52*n**2.
-4*n*(n - 4)
Let g(l) = -2*l**2 - 353*l - 8176. Let f be g(-28). Factor -40 - 55/2*s**4 - f*s - 365/2*s**2 - 215/2*s**3 - 5/2*s**5.
-5*(s + 1)**3*(s + 4)**2/2
Let j(l) be the first derivative of l**8/560 - l**6/40 + l**5/20 + 5*l**3/3 - 17. Let r(g) be the third derivative of j(g). Factor r(f).
3*f*(f - 1)**2*(f + 2)
Let x(b) be the third derivative of b**5/120 + 7*b**4/24 - 95*b**3/12 + 2*b**2 - 584. Factor x(y).
(y - 5)*(y + 19)/2
Let d(m) be the third derivative of m**6/270 + m**5/30 - 7*m**3/6 + 12*m**2. Let l(g) be the first derivative of d(g). Find i such that l(i) = 0.
-3, 0
Suppose -x = 0, 0*x = -5*j - 4*x. Determine a, given that -171 + 171 + j*a**3 - 3*a**2 - 3*a**3 = 0.
-1, 0
Suppose 14 = 5*v + u + u, -5*v - u + 12 = 0. Suppose -v*g + 236 = 226. Factor -3/2*z**4 - z**g + 0*z + 0*z**2 - 1/2*z**3 + 0.
-z**3*(z + 1)*(2*z + 1)/2
Let f be 4/(-1) + 8 + -1. Solve -2*u**3 + 0*u**3 - 11*u**2 + 2 - 5*u + u**f - 3*u**3 = 0 for u.
-2, -1, 1/4
Let g(p) be the third derivative of -p**6/60 + p**5/30 + 5*p**4/6 + 8*p**3/3 + 267*p**2. Let g(o) = 0. Calculate o.
-2, -1, 4
Suppose -623 = -t - u, 4*t - 5*u + 0*u - 2537 = 0. Suppose -2*s = 2*s - t. Solve 3*l**3 - 157 + 12*l - 12*l**2 + s = 0.
0, 2
Let g(n) be the first derivative of -n**4/3 + 4*n**3/3 + 20*n**2/3 + 298. Solve g(r) = 0 for r.
-2, 0, 5
Let t = -909 - -10909/12. Let i(m) be the third derivative of -t*m**4 - 2*m**2 - 1/30*m**5 - 1/180*m**6 + 0*m - 1/9*m**3 + 0. Let i(x) = 0. What is x?
-1
Let j be (3/(-10))/((-328)/40 + 7). Factor 1 + 3/2*x**3 + j*x**4 + 13/4*x**2 + 3*x.
(x + 1)**2*(x + 2)**2/4
Let m(p) = 5*p**2 + 3*p - 2. Let z be m(2). Let f be z/(-45)*(21/2)/(-7). Factor 0*h**2 + 0*h + 18/5*h**5 - f*h**4 + 0*h**3 + 0.
2*h**4*(9*h - 2)/5
Let u be (12/(-10))/(154/(-77165)). Let x = -597 + u. Factor 0 - 18/7*s**2 - 6/7*s**5 - 4/7*s - x*s**3 - 22/7*s**4.
-2*s*(s + 1)**3*(3*s + 2)/7
Let t = -219 - -224. Let i be ((-8)/t)/4*(-51)/34. Determine g so that -i*g**2 + 3/5*g + 0 = 0.
0, 1
Let h(b) be the second derivative of 2*b**7/35 - 13*b**6/75 - b**5/10 + b**4/2 - b**3/15 - 2*b**2/5 + 54*b. Solve h(q) = 0 for q.
-1, -1/3, 1/2, 1, 2
Let h = -2341 - -2345. Find s, given that 7/4*s - 1/2 + 5/4*s**3 - 1/4*s**h - 9/4*s**2 = 0.
1, 2
Let z(x) be the first derivative of -2*x**5/45 - 2*x**4/3 + 2*x**3 - 14*x**2/9 + 125. Find n, given that z(n) = 0.
-14, 0, 1
Factor l**2 + 140 - 273 - 6*l**2 - 98*l - 12*l - 292.
-5*(l + 5)*(l + 17)
Let a(d) = -409*d + 6955. Let s be a(17). Determine w, given that -18/7*w**5 - 176/7*w**3 - 96/7*w**4 - 32/7*w + 0 - 128/7*w**s = 0.
-2, -2/3, 0
Let y = 46 - 43. Let z = -3 - -8. Factor -3*n**2 + 3*n**3 + 0*n**z + 2*n**5 + 0*n**4 + y*n**4 - 5*n**5.
-3*n**2*(n - 1)**2*(n + 1)
Let b(l) be the third derivative of -5*l**5/6 - 20*l**4/3 - 64*l**3/3 + 28*l**2 + 2*l. Factor b(r).
-2*(5*r + 8)**2
Factor -8/11*k + 6/11*k**3 + 8/11 - 10/11*k**2.
2*(k - 2)*(k + 1)*(3*k - 2)/11
Let -9/11*o + 13/11*o**2 - 4/11 = 0. Calculate o.
-4/13, 1
Let y = -4/7493 + 7501/14986. Factor 0 + 1/4*i**3 - 3/4*i - y*i**2.
i*(i - 3)*(i + 1)/4
Let q = -11249/1170 - -126/13. Let d(t) be the second derivative of -q*t**6 + 2/9*t**4 - 1/30*t**5 - 5*t - 1/9*t**3 - 1/6*t**2 + 2/63*t**7 + 0. Factor d(r).
(r - 1)**3*(r + 1)*(4*r + 1)/3
Let d(v) be the third derivative of v**7/84 + 5*v**6/12 + 13*v**5/4 - 275*v**4/12 + 605*v**3/12 + 19*v**2 + 4. Factor