termine w, given that -8*w**2 - 3*w**5 - 6*w + c*w - 8*w + 8*w**4 - w**3 = 0.
-1, 0, 2/3, 1, 2
Factor -1/3 - 1339893*r**3 - 25281*r**2 - 159*r.
-(159*r + 1)**3/3
Suppose -2*s + 2 = -3*f, -4*s - 5*f + 14 = -12. Let -2*u**4 - 8 + 13*u**2 - 16*u**2 - s*u**3 + 4*u**2 + 5*u**2 + 8*u = 0. Calculate u.
-2, 1
Let c(j) be the second derivative of j + 0*j**2 + 27/7*j**3 - 34 + 33/14*j**4 + 19/70*j**5 + 1/105*j**6. Suppose c(w) = 0. What is w?
-9, -1, 0
Suppose -24/5*h + 23/5*h**3 - 11/5*h**2 - 9/5*h**4 + 1/5*h**5 + 4 = 0. What is h?
-1, 1, 2, 5
Let g(i) = 8*i - 4. Let x(t) = t**2 - 20*t + 9. Let r(o) = -10*g(o) - 4*x(o). Suppose r(a) = 0. What is a?
-1, 1
Let l(p) be the second derivative of 20*p + 0 - 4/27*p**3 + 1/270*p**5 + 23/2*p**2 + 0*p**4. Let g(f) be the first derivative of l(f). Factor g(m).
2*(m - 2)*(m + 2)/9
Let f be (616/(-1386))/((-2)/45). Suppose -f*r - 2*d - 4 = -6*r, 4*d = -4*r - 8. Factor 0*s**2 + 2/7*s**5 + 2/7*s**3 + 0*s + r + 4/7*s**4.
2*s**3*(s + 1)**2/7
Let f be (17 - (-1260)/(-75))/((-8)/(-52)). Let l(o) be the first derivative of 24 - 4/5*o**2 + 4/3*o**3 + 0*o + 7/25*o**5 + f*o**4. Solve l(r) = 0 for r.
-2, 0, 2/7
What is c in 8*c**3 - 2*c**3 + 40829*c - 2*c**3 - 39409*c - 708 - 716*c**2 = 0?
1, 177
Let i(v) be the first derivative of -v**6/600 + 23*v**5/200 - 25*v**3 + 2*v - 52. Let g(q) be the third derivative of i(q). Solve g(t) = 0 for t.
0, 23
Let o(b) be the first derivative of b**8/1680 - b**7/840 - b**6/60 - 61*b**3 - 18. Let r(c) be the third derivative of o(c). Suppose r(d) = 0. Calculate d.
-2, 0, 3
Find l such that -6*l + 60 - 26*l - 5*l**2 - 14*l - 10*l + l**3 = 0.
-6, 1, 10
Let z = 340/169 - 859/1183. Let 3/7*q**2 + 0*q + 0 - 3/7*q**5 + 9/7*q**4 - z*q**3 = 0. Calculate q.
0, 1
Let x(z) be the first derivative of -z**4 + 464*z**3/3 + 2*z**2 - 464*z + 5004. Solve x(n) = 0.
-1, 1, 116
Find h such that 256/3 + 68/3*h + 1/3*h**2 = 0.
-64, -4
Let r(i) be the third derivative of 17/15*i**4 + 1/25*i**5 + 4*i**2 - 16/5*i**3 + 2*i + 0. Factor r(v).
4*(v + 12)*(3*v - 2)/5
Let z be 60/130 + 1507/143. Let m(q) be the first derivative of 3/40*q**5 - 3/8*q**4 + 3/8*q - z - 3/4*q**2 + 3/4*q**3. Factor m(i).
3*(i - 1)**4/8
Let f(a) be the second derivative of -2*a**6/15 + 57*a**5/5 - 56*a**4/3 - 287*a. Find l such that f(l) = 0.
0, 1, 56
Factor 113 - 128 + 240*p + 256 + 31*p**2 - 32*p**2.
-(p - 241)*(p + 1)
Let o(w) be the third derivative of 0 + 1/40*w**5 - 1/32*w**4 - 1/4*w**3 + 0*w + 76*w**2 + 1/160*w**6. Find i, given that o(i) = 0.
-2, -1, 1
What is r in 8/3*r - 5*r**2 - 3*r**3 + 16/3 = 0?
-4/3, 1
Let u(i) be the second derivative of i**7/21 + 7*i**6/3 + 71*i**5/2 + 325*i**4/6 - 6760*i**3/3 + 8788*i**2 - i - 338. Let u(t) = 0. Calculate t.
-13, 2
Let y = -21 - -23. Factor y*s**3 - 20*s - 16 - 5*s**2 + 3*s**2 - 4*s**2 + 4*s**2.
2*(s - 4)*(s + 1)*(s + 2)
Let y = -11285/3 + 3762. Determine m, given that 0 + y*m**2 - 1/3*m**4 + 0*m - m**5 + m**3 = 0.
-1, -1/3, 0, 1
Let j(n) = n + 1. Let q(v) = 20*v - 74. Let f(y) = 21*j(y) - 3*q(y). Let w be f(6). Factor 32*z**4 + 1/2 + w*z + 72*z**3 + 97/2*z**2.
(z + 1)**2*(8*z + 1)**2/2
Solve -2/3*b**2 - 1827872/3 + 3824/3*b = 0 for b.
956
Let z(w) = 9*w - 62. Let t be z(5). Let c be (-8)/10*(170/12)/t. Suppose 2/3*a**3 + 0 - 2/3*a - c*a**2 + 2/3*a**4 = 0. What is a?
-1, 0, 1
Let o(m) = m**2 + m. Let t = -25 - 44. Let a = t - -49. Let z(n) = 5*n**2 - n + 4. Let s(l) = a*o(l) + 5*z(l). Determine i so that s(i) = 0.
1, 4
Let o be (2832/(-1593))/(4/(-18)). Let d(h) be the second derivative of -3/20*h**5 + 0 + o*h - 3/2*h**3 + 3/2*h**2 + 3/4*h**4. Factor d(y).
-3*(y - 1)**3
Let m(b) be the first derivative of -504*b**3 - 33*b**2 + 3*b - 8717. Factor m(o).
-3*(14*o + 1)*(36*o - 1)
Find t such that -3*t**4 + 103 + 3*t**4 - 1093 + 311*t**3 - 2057*t**2 + 0*t**4 + 3*t**4 + 3621*t = 0.
-110, 1/3, 3
Let i = 520090 - 520087. Factor -42/5 - 11/5*d**i + 191/5*d + 222/5*d**2.
-(d - 21)*(d + 1)*(11*d - 2)/5
Let s = 70742 - 353682/5. Factor 18/5*m + 2/5*m**2 + s.
2*(m + 2)*(m + 7)/5
Solve 68*o - 1/2*o**3 + 43/2*o**2 + 46 = 0 for o.
-2, -1, 46
Let g = -2763 + 24904/9. Let t = g + -241/63. Factor -t*i**3 + 16/7*i**2 + 0 - 32/7*i.
-2*i*(i - 4)**2/7
Let m(l) be the first derivative of 7 - 13/8*l**2 + 1/24*l**6 + 3/4*l**4 - 3/2*l - 1/6*l**3 + 2/5*l**5. Factor m(s).
(s - 1)*(s + 1)**3*(s + 6)/4
Let h be 10*6 + (1 - (2 - -2)). Suppose -h = -i - 55. Find a, given that a**3 + 7*a**3 + 24*a**2 - 3*a**5 + 3*a**3 + 12*a - 6*a**4 - i*a**3 = 0.
-2, -1, 0, 2
Let r(t) = -6*t + 3. Let l be r(-5). Let w = l + -30. What is p in -10*p**4 - 12 + 3*p**5 + 5*p**4 + 21*p**2 - 4*p**4 - 3*p**w = 0?
-1, 1, 2
Let s = -41 - -33. Let j be ((-3)/3)/((2/s)/1). Factor 9*k**3 - 7*k**4 - 3*k**3 + j*k**4 - 6*k + 3.
-3*(k - 1)**3*(k + 1)
Suppose -18448 - 2612 = -26*h. Let j = -786 + h. Factor -48/5*c**4 - 51/5*c**2 - j*c**3 - 6/5*c + 0.
-3*c*(c + 2)*(4*c + 1)**2/5
Let z = 50551/227601 - -3/25289. Factor -242/9 - z*b**2 - 44/9*b.
-2*(b + 11)**2/9
Let d(z) be the second derivative of -z**7/120 + z**6/48 + z**5/20 + 37*z**4/12 + z**2/2 + 14*z - 1. Let f(a) be the third derivative of d(a). Factor f(x).
-3*(x - 1)*(7*x + 2)
Factor 73*m + 12*m + 13*m - m**2 - 6*m + 33*m.
-m*(m - 125)
Let j be ((2 - -3) + -5)*1. Suppose j = -p + 4*g - 2*g - 8, 0 = 3*g - 12. Solve 0 + p*s + 2/19*s**2 + 2/19*s**4 + 4/19*s**3 = 0.
-1, 0
Let u(p) = -2*p**4 - 36*p**3 - 34*p**2 + 2. Let a(o) = 6*o**4 - 11*o**2 + 22*o + o - 23*o + 77*o**2 - 5 + 72*o**3. Let n(x) = -2*a(x) - 5*u(x). Factor n(t).
-2*t**2*(t - 19)*(t + 1)
Let n(m) = 2*m - 19. Let o be n(13). Suppose -o*q + 2*q = -125. Factor -16*k + 5*k**4 + 19*k**2 + 3*k - 7*k - 40 + 11*k**2 + q*k**3.
5*(k - 1)*(k + 2)**3
Let y(n) be the first derivative of -n**8/1680 - n**7/525 + n**5/150 + n**4/120 + n**2 - 28*n - 96. Let a(m) be the second derivative of y(m). Factor a(q).
-q*(q - 1)*(q + 1)**3/5
Let q(a) be the third derivative of -a**6/80 - a**5/5 - 17*a**4/16 - 5*a**3/2 + 5536*a**2. Factor q(n).
-3*(n + 1)*(n + 2)*(n + 5)/2
Let l be (-1)/5 + (-1648)/20. Let k = l + 83. Find q, given that 0 + 2/5*q**2 - k*q = 0.
0, 1
Suppose -16*v + 32 + 32 = 0. Determine x so that -8*x**2 + 2*x - 704*x**3 + v*x + 706*x**3 = 0.
0, 1, 3
Let t(p) be the first derivative of p**6/90 - 11*p**5/15 + p**3/3 + 229. Let f(h) be the third derivative of t(h). Suppose f(y) = 0. Calculate y.
0, 22
Let a = -2524 + 27774/11. Let o = 222 - 2440/11. Suppose -o*t**2 + a*t - 8/11 = 0. Calculate t.
1, 4
Let r(d) be the second derivative of d**7/1260 + d**6/30 + 7*d**5/12 + 49*d**4/9 + d**3/3 - d**2 - 72*d. Let z(x) be the second derivative of r(x). Factor z(o).
2*(o + 4)*(o + 7)**2/3
Suppose -4*t + 43 = j, 593*j - 4*t = 597*j - 76. Suppose 5*g**4 - 1/2*g**5 - 7/2*g + 0 + j*g**2 - 12*g**3 = 0. Calculate g.
0, 1, 7
Suppose g + 4*g + 1040 = 5*l, 0 = -3*l - 5*g + 656. Suppose 2*c - 6 = -0, -5*f + 3*c = -16. Determine y so that l*y**2 - f*y - 109*y**2 - 108*y**2 = 0.
-1, 0
Let o(i) be the second derivative of -5*i**4/24 + 57*i**3/2 - 34*i**2 + 1215*i. Suppose o(n) = 0. Calculate n.
2/5, 68
Suppose 0 = 3*u + 5*z - 26, 0 = -0*u - u + 5*z + 2. Suppose -j - y = y, j - 5*y - u = 0. Factor -4*r**j + 11*r**2 - 3*r**2.
4*r**2
Let f(g) be the first derivative of -g**7/672 + 13*g**6/288 - 5*g**5/48 - 5*g**4/4 + 68*g**3 + 8. Let z(v) be the third derivative of f(v). Factor z(h).
-5*(h - 12)*(h - 2)*(h + 1)/4
Let u(z) be the first derivative of -22*z**3/9 + 112*z**2/15 - 8*z/15 + 914. Find d such that u(d) = 0.
2/55, 2
Let s be ((-18)/10)/(-3 - (-712)/240). Suppose 0 = -3*c - o + 14, 5*c - 94 + s = -5*o. Factor -12/7*z + 4/7*z**2 - 8/7 + 4/7*z**4 + 12/7*z**c.
4*(z - 1)*(z + 1)**2*(z + 2)/7
Let o(t) be the first derivative of t**3/15 - 7*t**2/10 - 18*t/5 + 823. Factor o(z).
(z - 9)*(z + 2)/5
Let j(h) be the third derivative of h**6/30 + 167*h**5/15 + 7055*h**4/6 + 13778*h**3/3 - 2343*h**2. What is f in j(f) = 0?
-83, -1
Let t(f) = 15*f**3 + 17*f**2 + 151*f + 256. Let j(z) = 2*z**3 - z**2 - 2*z + 2. Let s(n) = -35*j(n) + 5*t(n). Let s(a) = 0. Calculate a.
-11, -2
Let c(b) be the first derivative of b**8/420 + b**7/210 - b**6/45 + 32*b**3/3 + 10. Let u(m) be the third derivative of c(m). Factor u(n).
4*n**2*(n - 1)*(n + 2)
Let f(o) be the third derivative of -o**5/140 - 35*o**4