3*c**2 + 10/3*c**4 - 8/3 + 2/3*c**5 = 0.
-2, -1, 1
Factor o**4 + 0*o**4 + 15*o**3 + 35*o**2 - 21*o**2.
o**2*(o + 1)*(o + 14)
Suppose -z - 21 = 5*j, -4*z + 19 = -j - 2. Let l(h) be the third derivative of -3/40*h**6 - 1/5*h**5 - 1/8*h**z + 0*h**3 + 0*h + 0 + 2*h**2. Factor l(q).
-3*q*(q + 1)*(3*q + 1)
Let i(g) = -9*g**3 - 7*g**2 - 7*g - 4. Let f(v) = v**3 - v**3 - v**2 + 3*v + v**3 - 4*v. Let h(l) = -5*f(l) - i(l). Factor h(q).
4*(q + 1)**3
Let j(k) = -2 - 6*k - 4*k**2 - 2 + 2. Suppose -11*u = -15*u + 16. Let p(v) = -9*v**2 - 12*v - 3. Let x(y) = u*p(y) - 10*j(y). Factor x(i).
4*(i + 1)*(i + 2)
Let w(x) be the first derivative of 26 + 3/2*x**2 + 18*x - x**3. Find k, given that w(k) = 0.
-2, 3
Suppose -20 = -5*w, 4*w = -4*k - 0*w + 32. Determine f, given that -24*f + 26*f**2 + 46*f**3 - k*f**3 - 8 - 4*f**3 - 14*f**5 - 18*f**4 = 0.
-2, -1, -2/7, 1
Determine i so that -10 + 10 - 125*i**2 + 9*i**4 - 47*i**2 + 3*i**4 + 512*i**3 = 0.
-43, 0, 1/3
Let x(o) = 2*o + 15. Let q be x(-13). Let g be ((-5 - q)/6)/(1 + 1). Factor 0*u**3 - 1/2*u**2 + 0 + 0*u + g*u**4.
u**2*(u - 1)*(u + 1)/2
Let z = 79/16 + -49/16. Factor -21/8*h + 3/4 + 3/2*h**3 - z*h**2.
3*(h - 2)*(h + 1)*(4*h - 1)/8
Suppose -17/9*c - 19/9 + 2/9*c**2 = 0. Calculate c.
-1, 19/2
Let l(t) = 3*t**2 - 24*t + 61. Let s(h) = -6*h**2 + 45*h - 121. Let g(v) = 5*l(v) + 2*s(v). Factor g(y).
3*(y - 7)*(y - 3)
Factor 11*x**5 - 190*x**4 + 20*x**2 + 186*x**4 + 8*x - 15*x**5 + 12*x**3.
-4*x*(x - 2)*(x + 1)**3
Let f(s) be the first derivative of -s**3 + 6*s**2 - 9*s + 13. Let f(r) = 0. Calculate r.
1, 3
Let z(d) be the third derivative of d**7/525 - 11*d**6/300 + 22*d**5/75 - 19*d**4/15 + 16*d**3/5 + 489*d**2. Suppose z(j) = 0. What is j?
2, 3, 4
Find q, given that 6/17*q**3 + 2/17*q**4 - 4/17 + 2/17*q**2 - 6/17*q = 0.
-2, -1, 1
Let r(a) be the first derivative of 8*a**5/65 + 15*a**4/26 + 34*a**3/39 + 6*a**2/13 - 788. Let r(v) = 0. Calculate v.
-2, -1, -3/4, 0
Factor 24/5 - 1/5*h**2 - h.
-(h - 3)*(h + 8)/5
Factor 4/5*b**2 + 0 - 96/5*b.
4*b*(b - 24)/5
Let j(g) be the third derivative of 1/12*g**3 + 0*g - 1/240*g**5 + 1/32*g**4 + 0 - 1/840*g**7 + 34*g**2 - 1/160*g**6. Let j(r) = 0. What is r?
-2, -1, 1
Factor -5*r + 2*r + 2*r + 2*r - 15*r + 2*r**2 - 16.
2*(r - 8)*(r + 1)
Let b(r) = 3 + 2*r**3 - r**3 - 1 - 4*r**2 + r. Let f(v) = -v**3 + 5*v**2 - 2*v - 2. Let s(z) = -3*b(z) - 2*f(z). Factor s(c).
-(c - 2)*(c - 1)*(c + 1)
Let n(r) be the third derivative of r**8/840 + 19*r**7/525 + 7*r**6/60 + 17*r**5/150 + 6*r**2 + 3. Solve n(w) = 0.
-17, -1, 0
Let p(f) = -2*f**4 - 2*f**3 + 5*f**2 + 2*f + 3. Let j(d) = -14*d**4 - 14*d**3 + 36*d**2 + 14*d + 22. Let u(x) = -6*j(x) + 44*p(x). Factor u(a).
-4*a*(a - 1)*(a + 1)**2
Suppose -j + 4 = 1. Let s be ((-3)/9)/(j/(-36)). Factor 8*n + 0 - s*n - 4 - 2*n**2 + 2.
-2*(n - 1)**2
Let g(c) = -495*c - 2473. Let z be g(-5). Determine x so that 25/6 - 4*x**z - 5/3*x - 1/6*x**4 + 5/3*x**3 = 0.
-1, 1, 5
Let w be ((-700)/75)/(-14)*(-21)/(-2). Let s(x) be the third derivative of 0*x**6 + 0 + 0*x**4 + 0*x**3 + 0*x - 9*x**2 - 1/140*x**w + 1/40*x**5. Factor s(o).
-3*o**2*(o - 1)*(o + 1)/2
Let j = 6285 + -6285. Factor 0*a**2 + j*a + 2/19*a**3 + 0.
2*a**3/19
Let f = 4 + -2. Suppose -14*j = -9*j - 10. Solve -36*z + 39*z - z**2 + j + f*z**2 = 0 for z.
-2, -1
Let y = 39 + -24. Suppose -m = 5*k + 1 + 2, 5*m - 5*k = y. Suppose 0*a - 1/6*a**3 - 1/6*a**m + 0 = 0. What is a?
-1, 0
Let u = 957 - 953. Determine c, given that 0*c**2 + 0 - 2/7*c**3 + 0*c - 6/7*c**u - 4/7*c**5 = 0.
-1, -1/2, 0
Let 29*v**3 + 132*v - 84 - 9*v**4 - 441*v + 198*v + 21*v**2 + 10*v**3 = 0. What is v?
-1, 7/3, 4
Factor -20/3*g + 58/3*g**2 - 3/2*g**4 + 0 - 13*g**3.
-g*(g + 10)*(3*g - 2)**2/6
Let l(v) be the first derivative of -v**8/3780 + 4*v**7/945 - 8*v**6/405 + 5*v**3/3 - 11. Let z(w) be the third derivative of l(w). Find q, given that z(q) = 0.
0, 4
Let r(h) be the first derivative of -h**6/33 + 6*h**5/55 - 3*h**4/22 + 2*h**3/33 + 67. Factor r(q).
-2*q**2*(q - 1)**3/11
Let w(j) be the third derivative of -j**7/1260 + j**6/360 + 31*j**4/24 + 22*j**2. Let d(z) be the second derivative of w(z). What is c in d(c) = 0?
0, 1
Suppose 5*t + j - 7 = 0, -j + 0*j - 13 = -5*t. Suppose -10 = -5*f + f - 2*u, 4 = 3*f + 5*u. Factor -16/3*l**t + 8*l - f.
-(4*l - 3)**2/3
Let i(y) be the first derivative of -1/2*y**6 + 0*y - 6*y**2 - 39/4*y**4 - 2 + 18/5*y**5 + 12*y**3. Factor i(x).
-3*x*(x - 2)**2*(x - 1)**2
Let x = -16169/70 - -231. Let a(h) be the third derivative of -x*h**5 + 0*h + 0 + 1/42*h**4 + 1/420*h**6 + 5*h**2 + 0*h**3. Factor a(g).
2*g*(g - 2)*(g - 1)/7
Let x(l) be the second derivative of -20*l**2 + 0 - 290/3*l**3 - 38*l + 225/4*l**5 - 325/2*l**4. Determine z, given that x(z) = 0.
-2/15, 2
Factor -8*s**5 - 2*s**5 + 3*s**3 + 17*s**5 - 10*s**5.
-3*s**3*(s - 1)*(s + 1)
Let d(n) be the first derivative of -n**6/300 + n**5/75 - n**4/60 + 11*n**2/2 - 4. Let m(a) be the second derivative of d(a). Suppose m(h) = 0. Calculate h.
0, 1
Let g(o) be the second derivative of o**7/126 + 7*o**6/180 + o**5/15 - o**4/6 + 12*o. Let h(p) be the third derivative of g(p). Factor h(n).
4*(n + 1)*(5*n + 2)
Let z be (7 - (-1495)/(-225)) + (-6)/27. Let i(f) be the first derivative of -10 + 6/5*f**2 + 18/5*f + z*f**3. Factor i(x).
2*(x + 3)**2/5
Let t be -1*(-1)/(1/(-13)). Let p = t + 13. Let -o**2 + p - 1 + o + o = 0. Calculate o.
1
Let y(x) = -3*x**3 - 36*x**2 - 110*x - 9. Let t be y(-6). Factor 15/4*w**4 + 9*w**t + 3*w**2 + 0*w + 0.
3*w**2*(w + 2)*(5*w + 2)/4
Let v be (-3)/9 - (-14)/6. Let i(h) = -2*h**2. Let a(b) = -2*b**2 + b. Suppose 0 = -14*n - 12*n - 78. Let z(w) = n*i(w) + v*a(w). Factor z(p).
2*p*(p + 1)
Let h(c) be the first derivative of c**6/720 + c**5/15 + 4*c**4/3 + 40*c**3/3 - 15. Let r(d) be the third derivative of h(d). Solve r(u) = 0 for u.
-8
Factor -38/5*d**2 - 32*d - 2/5*d**3 + 40.
-2*(d - 1)*(d + 10)**2/5
Factor -1 + 62408*p + p**2 - 62408*p.
(p - 1)*(p + 1)
Let v be 15*(1 - -1)/(-5*1). Let c be (v/24)/((-1)/8). Factor -2/7*w + 2/7 - 2/7*w**c + 2/7*w**3.
2*(w - 1)**2*(w + 1)/7
Let 11*h**2 + 28/3*h + 4/3 - 11/3*h**4 - 2/3*h**3 = 0. What is h?
-1, -2/11, 2
Let l(f) = f**2 + f. Let i(y) = 28*y + 48. Let s(p) = i(p) + 4*l(p). Let s(d) = 0. What is d?
-6, -2
Let v be 1 + 9/(-12) + (-56)/(-32). Find t such that -18*t + 0*t**v - 6*t**2 + 2*t**2 - 8 = 0.
-4, -1/2
Let a = -301 + 301. Let p(n) be the third derivative of 1/180*n**6 + 1/18*n**4 + 5*n**2 + 0 + 1/30*n**5 + a*n + 0*n**3. Factor p(k).
2*k*(k + 1)*(k + 2)/3
Suppose -2*k = 8 - 14. Factor -2272*b + 2272*b + 2*b**k.
2*b**3
Let y(m) be the first derivative of -m**4 - 60*m**3 - 1056*m**2 - 1936*m - 262. Determine o, given that y(o) = 0.
-22, -1
Let i(r) = r**2 - 8*r + 11. Let j be i(7). Determine z so that 12*z**3 + 4 - 18*z + 6*z**5 + 5*z**2 + 11*z**2 - 124*z**4 + 104*z**j = 0.
-1, 1/3, 1, 2
Let j(c) be the third derivative of 0*c + 0 + 12*c**2 + 0*c**4 + 1/40*c**6 + 0*c**3 - 1/60*c**5 + 5/336*c**8 + 3/70*c**7. Suppose j(b) = 0. Calculate b.
-1, 0, 1/5
Suppose 0*q = -q - 4*z - 8, -z = -2*q + 2. Let m be (1 - -2)/1 - q. What is s in 0*s**m - 2*s**3 + 2*s + s**3 - s = 0?
-1, 0, 1
Let 9*y**2 + 3/5*y**4 - 51/5*y**3 - 48/5 + 51/5*y = 0. What is y?
-1, 1, 16
Factor -3/4*f**2 - 87/4*f - 21.
-3*(f + 1)*(f + 28)/4
Suppose t - 10 = -h, 6*t - 32 = -3*h + 5*t. Suppose -11*b + 44 = h*b. Solve 1/5*d + 1/5*d**b - 1/5 - 1/5*d**3 = 0.
-1, 1
Let b be (3/(-225))/(27/(-405)). Factor 26/5*t - 169/5 - b*t**2.
-(t - 13)**2/5
Let r(d) be the first derivative of -d**5/15 - d**4/2 - 4*d**3/9 + d**2 + 5*d/3 - 363. Factor r(g).
-(g - 1)*(g + 1)**2*(g + 5)/3
Let y(c) = c**3 - 7*c**2 - 6*c - 13. Let t be y(8). Let -5*r**2 - t*r + 0*r**2 + 15*r + 3*r = 0. Calculate r.
0, 3
Let r(h) be the third derivative of 1/84*h**7 + 0*h**3 + 1/8*h**5 + 0*h**4 + 0 + 0*h - 5*h**2 + 1/12*h**6. Factor r(u).
5*u**2*(u + 1)*(u + 3)/2
Let x(j) = j**3 + 13*j**2 - j - 11. Let s be 2*13/(-6)*3. Let c be x(s). Factor 8/7*t**c + 0 - 2/7*t**3 - 6/7*t.
-2*t*(t - 3)*(t - 1)/7
Let r(b) = 5*b**3 - 1 - 3*b + 5 - 4. Let p(u) = 20*u**3 - 21*u + 10*u**3 + 6*u**3. Let v(m) = -2*p(m) + 15*r(m). Factor v(l).
3*l*(l - 1)*(l + 1)
Suppose -12*h = -3*h + 9. Let k be (-50)/(-12) - h*(-3)/18. Determine j, given that 0 + 2/3*j - 2/3*j**3 + j**k - j**2 = 0.
-1, 0