5 - 18/7*o**4 = 0.
-1, 0, 1, 6
Let l(j) be the first derivative of 2*j**5/45 - 17*j**4/9 + 190*j**3/27 - 62*j**2/9 - 5645. Factor l(t).
2*t*(t - 31)*(t - 2)*(t - 1)/9
Let i(y) be the first derivative of y**4/36 + y**3/6 + y**2/3 - 8*y + 59. Let x(f) be the first derivative of i(f). Suppose x(v) = 0. Calculate v.
-2, -1
Let r(a) be the third derivative of -a**6/320 + 459*a**5/160 + 231*a**4/8 + 463*a**3/4 + 5731*a**2. Suppose r(p) = 0. Calculate p.
-2, 463
Determine q so that 48/5 - 16/5*q**3 - 9/5*q**4 - 1/5*q**5 + 16*q + 24/5*q**2 = 0.
-6, -2, -1, 2
Let y be ((-726)/(-22) - 32)/((-4)/(168/(-9))). Factor -y*x**3 - 8/3 - 10*x**2 - 26/3*x - 2/3*x**4.
-2*(x + 1)**3*(x + 4)/3
Let x(q) = -5*q**2 - 206*q + 18. Let w(g) = -2*g - 9. Let v(m) = 2*w(m) + x(m). Factor v(j).
-5*j*(j + 42)
Let i(f) be the first derivative of -81 + 2*f**2 + 0*f + 20/3*f**3 + 7/5*f**5 + 23/4*f**4. Solve i(a) = 0 for a.
-2, -1, -2/7, 0
Let 4/9*v**3 + 0 - 2/9*v**4 + 2/3*v**2 + 0*v = 0. Calculate v.
-1, 0, 3
Let s(u) = 4*u**2 - 118*u + 600. Let i be s(23). Let j(w) be the second derivative of 0*w**i + 0*w**3 + 0 - 12*w - 1/24*w**4. Factor j(a).
-a**2/2
Find l, given that -46*l - 323/7 + 1/7*l**2 = 0.
-1, 323
Let z be (-4136)/(-176) - ((-1)/(-3))/((-2)/3). Let k(q) be the first derivative of 1/2*q**4 - 32*q + z*q**2 - 6*q**3 - 32. Determine o so that k(o) = 0.
1, 4
Let h(x) = -x**4 + x**3 - x**2 + 2*x. Let g(z) = -2*z**4 + 5*z**3 - 4*z**2 - 2*z + 4. Suppose -202 = -7*i - 216. Let y(w) = i*g(w) + 2*h(w). Factor y(v).
2*(v - 2)**2*(v - 1)*(v + 1)
Suppose -13*m + 8 - 86 = 0. Let a(x) = 2*x**2 + 13*x - 41. Let d(q) = q**2 + 7*q - 20. Let p(v) = m*a(v) + 13*d(v). Suppose p(y) = 0. What is y?
-14, 1
Let u be 0*(-12)/(18 + -6). Let i = 5930/19 - 312. Find a such that u - 4/19*a**2 + 2/19*a + i*a**3 = 0.
0, 1
Let c(a) be the third derivative of 0*a**3 + 0 + 1/480*a**6 - 23*a + a**2 - 1/32*a**4 + 1/120*a**5. Suppose c(h) = 0. Calculate h.
-3, 0, 1
Factor 490*d**2 + 34*d - 435*d - 970 - 5*d**3 - 204*d + 130*d.
-5*(d - 97)*(d - 2)*(d + 1)
Let x(y) be the second derivative of y**5/80 - 401*y**4/4 + 321602*y**3 - 515849608*y**2 - 3616*y. Factor x(q).
(q - 1604)**3/4
Let f = -29 + 29. Suppose -2*i = -4*p - 26, -3*p - 18 = -i - f*p. Solve 3 - 3*v - 16*v - 10*v**3 + v**i - 6 - 33*v**2 = 0 for v.
-3, -1/3
Determine z, given that 2/3*z**5 + 0 - 16/3*z**3 - 12*z**2 + 4/3*z**4 - 6*z = 0.
-3, -1, 0, 3
Let t be (4160/96*2/(-10) + -3)*(-36)/75. Factor 0*f + 12/5*f**2 + 8/5*f**4 + t*f**3 + 0.
4*f**2*(f + 3)*(2*f + 1)/5
Let b(g) = g**2 + 450*g - 10137. Let d(t) = 2*t - 47 + 0*t + 45 - 2*t + t**2. Let h(x) = b(x) - 6*d(x). Factor h(f).
-5*(f - 45)**2
Let i be (-2 + -5)*204/(-14). Suppose 8 = 4*j + r - 8, -4*j = -3*r. Find s such that 122*s - 254*s + j*s**2 + 27 + i*s = 0.
1, 9
Let d(n) = -15*n**3 + 111*n**2 + 81*n + 19. Let b be d(7). Find o, given that -405/4*o**3 - 60 - 245/4*o**5 + 665/2*o**4 - b*o**2 - 445*o = 0.
-1, -2/7, 3, 4
Let w(r) be the first derivative of -9*r**3 + 3*r**2/8 + 3*r/2 - 6762. Let w(d) = 0. Calculate d.
-2/9, 1/4
Let j = 1/5782 + 7433/5782. Let l(t) be the second derivative of 3/140*t**5 - 3/14*t**4 + 11/14*t**3 + 0 - 13*t - j*t**2. Factor l(s).
3*(s - 3)*(s - 2)*(s - 1)/7
Let r be 7436/3 - -3*(-10)/45. Let p be (-3 - 0) + r/798. Factor 0*f + 0 + p*f**3 + 4/19*f**2.
2*f**2*(f + 2)/19
Let -k**2 + 6668*k - 630 + 3*k**2 + 0*k**2 - 6784*k = 0. Calculate k.
-5, 63
Determine l, given that l + 2*l**4 - l + 0*l**4 - 32*l**2 + 32*l**3 + 618*l**5 - 620*l**5 = 0.
-4, 0, 1, 4
Let r(g) be the second derivative of g**6/225 - 13*g**5/75 + 22*g**4/15 - 248*g**3/45 + 32*g**2/3 + 98*g + 12. Determine j so that r(j) = 0.
2, 20
Factor 27/7*n + 44/7*n**2 + 3/7*n**3 - 2.
(n + 1)*(n + 14)*(3*n - 1)/7
Let i(w) be the second derivative of w**7/84 - w**6/10 - 5*w**5/8 + 25*w**4/4 + 26*w - 21. Solve i(z) = 0 for z.
-5, 0, 5, 6
Let q be (0 + -2)*(26/(-4) + 5). Factor 54*c**2 - c**4 + q*c - 3*c**3 + 7*c**2 - 60*c**2.
-c*(c - 1)*(c + 1)*(c + 3)
Let q = 15 + -11. Let v be -3 + (9 - 2) + 0. Find b, given that 287*b**3 + b**5 + 0*b**5 - 6*b**v - 278*b**3 - q*b**2 = 0.
0, 1, 4
Find m such that 370 + 1398*m**2 + 307 + 2191*m**4 - 198*m**3 - 1103*m**4 + 1024 + 3267*m - 1115*m**4 + 3*m**5 = 0.
-7, -1, 9
Find i, given that -3*i**3 + 79*i**2 - 187*i**2 + 486*i + 135*i**2 = 0.
-9, 0, 18
Solve 10/3 - g - 2*g**2 - 1/3*g**3 = 0.
-5, -2, 1
Let n(l) be the second derivative of -l - 1/6*l**4 + 7/3*l**3 - 33 + 0*l**2. Factor n(f).
-2*f*(f - 7)
Suppose 5*t**3 - 1663 + 274 + 431*t**2 - 146*t**2 - 950*t - 928 - 683 = 0. Calculate t.
-60, -2, 5
Let r(a) = 20*a**3 + 24*a**2 - 18*a**4 - 34 + 16 - 8*a + 0*a. Let z(w) = -w**5 - w**3 + w**2 - w + 2. Let i(m) = r(m) + 4*z(m). Find v, given that i(v) = 0.
-5, -1, -1/2, 1
Suppose -4*f - c + 70 = 52, -2*f + 3*c - 12 = 0. Factor -1/3*j**2 - j**f + 0 + j + 1/3*j**4.
j*(j - 3)*(j - 1)*(j + 1)/3
Factor 247*m + 61009 + 1/4*m**2.
(m + 494)**2/4
Factor -288/5*i**2 + 64/5*i**4 - 24*i**3 + 0*i + 0 - 6/5*i**5.
-2*i**2*(i - 6)**2*(3*i + 4)/5
Let p(n) be the third derivative of -n**6/1020 + 23*n**5/102 + 239*n**4/68 + 363*n**3/17 + 1874*n**2. Factor p(w).
-2*(w - 121)*(w + 3)**2/17
Factor -297/5*s + 3/5*s**2 + 0.
3*s*(s - 99)/5
Suppose -4/3 - 4/3*j + 33*j**2 = 0. Calculate j.
-2/11, 2/9
Let n be (-2)/(-3)*((-14520)/275)/(-44). Find y such that y**2 + 1/5*y**3 + 0 + n*y = 0.
-4, -1, 0
Suppose -419*k - 293*k + 922 - 913*k - 5842 + 5*k**2 = 0. Calculate k.
-3, 328
Let c = 102337/47238 + 2/7873. Let o(n) be the first derivative of 20/9*n**3 + 2/3*n + c*n**2 - 5 + 3/4*n**4. Solve o(x) = 0 for x.
-1, -2/9
Let u(y) be the first derivative of -3/4*y**4 - 3*y**3 + 0*y**2 + 0*y + 16. Factor u(k).
-3*k**2*(k + 3)
Let x(s) be the third derivative of s**7/1470 - 2*s**6/21 + 13*s**5/35 - 4908*s**2. Factor x(j).
j**2*(j - 78)*(j - 2)/7
Let v be (1225/15 - 39) + -42. Factor 10/3*s + 28/3 + v*s**3 - 16/3*s**2.
2*(s - 7)*(s - 2)*(s + 1)/3
Suppose 17*p + 5*n + 135 = 12*p, 3*n = 3*p + 81. Let d(i) = 2*i**2 + 56*i + 54. Let g be d(p). Factor g - 4/7*o**2 + 10/7*o.
-2*o*(2*o - 5)/7
Suppose -13*k - 57 = 21. Let r(q) = -41*q**2 - 205*q + 30. Let d(x) = 370*x**2 + 1845*x - 270. Let t(l) = k*d(l) - 55*r(l). Determine s, given that t(s) = 0.
-6, 1/7
Let o(i) be the third derivative of i**7/70 + 7*i**6/10 + 77*i**5/20 + 25*i**4/4 - 986*i**2. Suppose o(d) = 0. What is d?
-25, -2, -1, 0
Factor 46839*u**3 - 81*u - 3*u**4 + 139*u**2 - 40*u**2 - 46854*u**3.
-3*u*(u - 3)*(u - 1)*(u + 9)
Let p(s) = -s**3 - 4*s**2 + 16*s + 26. Let q be p(-6). Let h(f) be the first derivative of 4*f - 1/3*f**3 + 0*f**q - 7. Solve h(a) = 0 for a.
-2, 2
Factor 452*c**2 - 255*c - 637*c**3 + 127*c + 128*c + 641*c**3.
4*c**2*(c + 113)
Factor -8*v**3 - 17 + 104 + 173*v + 85*v**2 + 0*v**3 + 7*v**3.
-(v - 87)*(v + 1)**2
Let o(w) be the third derivative of -w**5/20 + 7*w**4/12 + 7*w**3/6 - 9*w**2. Let g be o(5). Factor -453 + 453 - g*u**2 + 4*u.
-2*u*(u - 2)
Let y = 10/1833 - -6514/611. Let 2/3*v**2 - y - 10*v = 0. What is v?
-1, 16
Let a be 16/(-60)*6 - -2. Let q = -93200 + 93200. Find g, given that -4/5*g**2 + q + a*g + 2/5*g**3 = 0.
0, 1
Let f(y) be the first derivative of 61/2*y**2 - 1/4*y**4 - 4 - 6*y**3 - 42*y. Let f(i) = 0. Calculate i.
-21, 1, 2
Let x be (-3 - -4)*(0 - 1) + -1. Let u be ((-288)/120)/(x + (-17)/(-10)). Factor -15*c**3 - 21*c + 5*c**4 - u*c**4 - 13 + 7 - 27*c**2.
-3*(c + 1)**3*(c + 2)
Let m(x) be the second derivative of 5/12*x**4 - 15/2*x**3 - x + 0*x**2 - 6. Factor m(v).
5*v*(v - 9)
Let y = 171 - 100. Factor h**3 + 63 + 12*h - y - 5*h**3.
-4*(h - 1)**2*(h + 2)
Factor -14/3*p**3 + 20*p**2 - 28 + 278/3*p.
-2*(p - 7)*(p + 3)*(7*p - 2)/3
Let a = 793835 - 793833. Factor 0 + 2/17*j - 138/17*j**a.
-2*j*(69*j - 1)/17
Let m be (-26)/(-4) - (32/40)/(16/30). Solve 0*p**2 + 0 - 4/3*p**3 + 0*p - 5/3*p**4 - 1/3*p**m = 0.
-4, -1, 0
Let s = 12322/7 + -36791/21. Find c, given that 23/3*c**2 + 2/3 - s*c = 0.
2/23, 1
Let o be (-2 - 322)/4*-1 + -1. Factor -o*z**3 - 112*z + 72*z**3 + 41 + 7 - 4*z**4 + 76*z**2.
-4*(z - 2)*(z - 1)**2*(z + 6)
Let f = -7485 - -7487. Solve 3/2*p**3 + 0 + 0*p + 0*p**f + 7/4*p**4 + 1/4*p**5 = 0 for p.
-6, -1, 0
Let j = -5/583 - 2323/137005. Let f = 452/705 - j. Factor f*q - 1/6*q**2 - 1/2.
-(q - 3)*(q - 1)/6
Suppose -2*z - 2 =