 0 for c.
-5
Find x, given that 5/3*x**4 + 275*x + 234 + 189*x**3 - 2099/3*x**2 = 0.
-117, -2/5, 1, 3
Let l(s) be the first derivative of 36 + 3/16*s**4 + s**3 + 0*s**2 + 0*s. Factor l(o).
3*o**2*(o + 4)/4
Find s, given that 69576444284 - 22162914*s + 2*s**3 - 8806*s**2 + 102722286*s + 16791*s**2 + 2*s**3 + 23107*s**2 = 0.
-2591
Let v be (-60)/18*(-30)/25. Suppose -17*a - v*a = -9*a. Factor -5/6*z**3 + a - 2/3*z + 1/6*z**4 + 4/3*z**2.
z*(z - 2)**2*(z - 1)/6
Let n(w) be the first derivative of -5*w**3/9 + 3335*w**2/6 - 3634. What is t in n(t) = 0?
0, 667
Find h, given that 10*h**3 + 84*h**2 + 361*h + 5488 + 815*h + 5*h**3 - 13*h**3 = 0.
-14
Let h = -153 - -155. Factor 8*o**2 + o**2 - 6*o**h - 2*o**2 + 1 + 2*o.
(o + 1)**2
Let i(y) be the first derivative of 36*y**2 - 20/3*y**3 - 36*y + 206. Solve i(j) = 0 for j.
3/5, 3
Let 4*t**3 - 49/2*t**2 + 1/4*t**4 - 63/4 + 36*t = 0. Calculate t.
-21, 1, 3
Let d(i) = 5*i - 28. Let n be (-5)/2*48/(-15). Let y be d(n). Factor -6*l**3 - y*l + 25 - 33 + 20*l**2 - 28 + 2*l**3.
-4*(l - 3)**2*(l + 1)
Factor -20*u**2 - 1/2*u**4 - 11/2*u**3 - 24*u + 0.
-u*(u + 3)*(u + 4)**2/2
Let x(j) be the second derivative of 5*j**7/42 + 38*j**6 + 4332*j**5 + 548720*j**4/3 + 748*j. Solve x(y) = 0.
-76, 0
Suppose -2 + 22 = 4*n. Let t(m) = -6*m + 32. Let k be t(n). Find o such that -18*o + 14*o**4 - 4 + 4*o**3 - 7*o**k + 14*o**3 - 3*o**2 = 0.
-1, -2/7, 1
Let d be 2 + 16/(-14) + (-282)/(-1050). Let k = d - 21/25. Factor k*g**2 + 2/21*g**3 + 0 + 4/21*g.
2*g*(g + 1)*(g + 2)/21
Let z(l) be the first derivative of 1/9*l**3 + 0*l + 2/3*l**2 - 234. Find r, given that z(r) = 0.
-4, 0
Let i(r) be the first derivative of 464*r - r**3 + 31*r**2 - 5*r**2 - 2816*r + 58*r**2 + 172. Let i(h) = 0. What is h?
28
Let b(z) be the third derivative of -7*z**7/320 + 7*z**6/480 - z**5/320 - 34*z**3/3 + 2*z**2 + 2*z. Let q(s) be the first derivative of b(s). Solve q(g) = 0.
0, 1/7
Let q(i) be the first derivative of -i**6/660 - i**5/330 + i**4/66 - 3*i**2 - i - 250. Let c(y) be the second derivative of q(y). Factor c(b).
-2*b*(b - 1)*(b + 2)/11
Let n = -790/9 + 3187/36. Let y(b) be the first derivative of 5 - 2*b**3 + n*b**4 + 0*b + 3/2*b**2. Factor y(o).
3*o*(o - 1)**2
Factor 9*h**2 + 1/4*h**3 + 0*h + 0.
h**2*(h + 36)/4
Suppose 0 = -0*k - 4*k - 4*u + 92, 0 = -3*k - u + 59. Determine l, given that 3*l**3 - k*l + 178*l**2 - 357*l**2 + 182*l**2 = 0.
-3, 0, 2
Let y(w) be the first derivative of -w**4/22 + 10*w**3/33 + 333*w**2/11 + 3726*w/11 - 1798. Factor y(a).
-2*(a - 23)*(a + 9)**2/11
Find t, given that -2/5*t**5 - 119/5*t**2 + 114/5*t + 36/5 + 27/10*t**4 + 3/2*t**3 = 0.
-3, -1/4, 2, 6
Let y = -615 - -672. Let g = 57 - y. Factor 2/9*z**3 + 0*z + 0 + 0*z**4 + g*z**2 - 2/9*z**5.
-2*z**3*(z - 1)*(z + 1)/9
Let p = 55559 + -55557. Suppose 32/5*c - 4/5*c**p - 48/5 = 0. What is c?
2, 6
Let h = 444/145 - -4/29. Suppose 2*w + 4*p = 152 - 124, -3*p - 1 = -4*w. Factor 8/5 + 4/5*v**3 + h*v**2 + w*v.
4*(v + 1)**2*(v + 2)/5
Let t(q) be the second derivative of -q**5/10 + 47*q**4/6 - 82*q**3 - 4024*q. Determine r, given that t(r) = 0.
0, 6, 41
Let a(t) = -97*t - 1261. Let s be a(-13). Let j = 45/77 + 3/11. Factor 2/7*u**4 + s + 6/7*u**2 + 2/7*u + j*u**3.
2*u*(u + 1)**3/7
Let u(p) = 108*p**3 - 4*p. Suppose 1 = 5*a - 19. Let m(b) = -108*b**3 + b**2 + 3*b. Let o(q) = a*m(q) + 3*u(q). Factor o(f).
-4*f**2*(27*f - 1)
Let i = -28 + 80. Let x = 91 - i. Solve -x*r**5 + 5*r**4 + 85*r**5 - 41*r**5 = 0 for r.
-1, 0
Let v(t) = -4*t**3 + 323*t**2 - 611*t - 944. Let g(o) = o**3 - 2*o**2 + 4*o + 1. Let m(h) = -g(h) + v(h). Factor m(s).
-5*(s - 63)*(s - 3)*(s + 1)
Let g(l) be the first derivative of 2*l**6/33 - 26*l**5/55 - 50*l**4/11 - 14*l**3/33 + 206*l**2/11 - 16*l + 984. Find a such that g(a) = 0.
-4, -2, 1/2, 1, 11
Let a = -3357 + 3361. Let c(x) be the first derivative of 0*x - 12 - 5/2*x**6 - 27/4*x**a + 0*x**2 - 2*x**3 - 36/5*x**5. Factor c(f).
-3*f**2*(f + 1)**2*(5*f + 2)
Let t(i) = 46*i**2 - 142*i - 32. Let r(x) = 13 + 0*x**2 + 57*x + 0*x - 28*x**2 + 7*x**2 + 3*x**2. Let d(b) = 12*r(b) + 5*t(b). Let d(q) = 0. Calculate q.
-1/7, 2
Let a(x) be the first derivative of 16/3*x**3 + 16/15*x**5 + 105 + 11/3*x**4 + 0*x + 1/9*x**6 + 3*x**2. Find o such that a(o) = 0.
-3, -1, 0
Let c(w) = -10865*w**4 - 4595*w**3 - 410*w**2 - 70. Let o(b) = -1811*b**4 - 766*b**3 - 68*b**2 - 12. Let s(m) = 6*c(m) - 35*o(m). Suppose s(h) = 0. Calculate h.
-4/19, 0
Let u = 18814/3 + -18812/3. Factor 2*a**2 - u*a - 2*a**3 + 2/3*a**4 + 0.
2*a*(a - 1)**3/3
Let m be (-2 + 2 - -3)/((-1)/(-2)). Suppose -48*p - m*p**4 + 16*p**3 + 64 - 16*p + 2*p**4 = 0. Calculate p.
-2, 2
Let k = 213326/22235 + 26/4447. Suppose 0 + k*n - 3/5*n**2 = 0. What is n?
0, 16
Suppose -2*y - 5*r + 1231 = 0, 0*y - 1814 = -3*y - r. Solve -375*g + g**2 + y + 2294 + 257*g + 460 + 124 = 0 for g.
59
Let s = 22805 - 22802. Let t(f) be the second derivative of 3/20*f**5 - s*f**4 + 0 + 18*f**3 + f + 0*f**2. Let t(i) = 0. What is i?
0, 6
Factor -24*y + 180/7*y**2 + 3/7*y**4 + 0 - 54/7*y**3.
3*y*(y - 14)*(y - 2)**2/7
Suppose 0 = -37*g + 26 + 48. Let r be 496/(-186) + 6/g. Suppose 1/6*y**3 + 0 - r*y + 1/6*y**2 = 0. What is y?
-2, 0, 1
Determine k so that -2/9*k**2 - 64 - 22*k = 0.
-96, -3
Suppose -1500*d - 852*d**4 - 56*d**5 - 1553*d**4 - 3632*d**2 - 128 + 332*d + 333*d**4 - 4468*d**3 - 140*d**5 = 0. Calculate d.
-8, -1, -2/7
Factor -117026*r - 215*r**2 + 117021*r - 5140*r**2 + 5355 + 5*r**3.
5*(r - 1071)*(r - 1)*(r + 1)
Let q = -20 + 22. Solve 84*a**4 + 42*a**3 - 19*a**4 - 10*a - 9*a**4 + 1 - 29*a**4 + 4*a**q = 0 for a.
-1, 1/9, 1/3
Let y(z) be the first derivative of -31 - 7/17*z**2 - 2/17*z**3 - 44*z + 1/102*z**4. Let w(i) be the first derivative of y(i). Factor w(u).
2*(u - 7)*(u + 1)/17
Let x(m) = -m**3 + 2*m**2 - 40. Let a be x(0). Let s = 42 + a. Factor -2*d**4 + 3*d**s - 2*d - 4*d + 4*d + d**4.
-d*(d - 1)**2*(d + 2)
Suppose -8/3*x**2 + 56/9*x + 0 + 2/3*x**4 - 14/9*x**3 = 0. Calculate x.
-2, 0, 2, 7/3
Let s(k) be the first derivative of 48*k - 216 - k**4 - 32*k**2 + 28/3*k**3. Find m such that s(m) = 0.
2, 3
Let b = -653 + 555. Let n = b - -100. Suppose -2/11*f**3 + 2/11*f - 6/11*f**n + 4/11 + 2/11*f**4 = 0. Calculate f.
-1, 1, 2
Suppose 25*n = 32*n - 14. Suppose 2*f - 4 = -c + n, -5*f + 11 = 2*c. Let -10*t**2 - 5*t + c - t**3 + 3*t**3 + 2 + 3*t**3 = 0. What is t?
-1, 1, 2
Let k(m) be the first derivative of -31/14*m**4 - 18/7*m**2 + 1/21*m**6 - 2/7*m**5 + 0*m - 86/21*m**3 - 118. Determine g so that k(g) = 0.
-2, -1, 0, 9
Factor -530/3*d + 0 - 2/3*d**2.
-2*d*(d + 265)/3
Suppose -72 = -3*f + 4*z, 3*f - f + 5*z - 48 = 0. Suppose 0 = 5*n - f - 76. Find j such that -4 - 13 - 2*j**2 + 17 + n*j = 0.
0, 10
Let c(j) be the first derivative of 1/2*j - 3/8*j**2 + 0*j**3 + 1/16*j**4 - 60. Determine z so that c(z) = 0.
-2, 1
Let g be 22 + -21 - (-3 - 1). Find l, given that 9*l**3 - 5*l**g + 47*l**3 + 36*l + 24*l**4 + 64*l**2 + 8 + 6*l**5 + 3*l**5 = 0.
-2, -1
Determine j, given that 4/7*j**2 + 97344/7 + 1248/7*j = 0.
-156
Suppose -458*r - 1514*r - 40*r = -8048. Factor -4/3*l**2 - 4*l + 0 - 1/3*l**r + 7/3*l**3.
-l*(l - 6)*(l - 2)*(l + 1)/3
Let h(t) be the second derivative of 5/3*t**3 - 10*t - 1/10*t**4 + 18/5*t**2 + 1. Determine r so that h(r) = 0.
-2/3, 9
Suppose -1252*g + 34290 = 18*g. Factor 0 + 1/2*i - g*i**2 + 729/2*i**3.
i*(27*i - 1)**2/2
Suppose 3*w + 84 = q + 26, w - 2 = -5*q. Let c be (-2)/w - (-2465)/9. Factor 3*o**3 + 24*o + 569 - c - 283 + 15*o**2.
3*(o + 1)*(o + 2)**2
Let s be 3*1 - 836/(-88)*2/(-38)*6. Factor 1/5*z**3 - 17/5*z**2 + s*z + 0.
z**2*(z - 17)/5
Let z(j) be the third derivative of 3 + 1/4*j**5 + 1/16*j**6 + 0*j**3 + 1/168*j**7 + 5/12*j**4 + 0*j - 38*j**2. Factor z(t).
5*t*(t + 2)**3/4
Let w(c) be the second derivative of -89*c + 1/20*c**5 + 1/12*c**3 + 0 - 5/48*c**4 + 0*c**2 - 1/120*c**6. Factor w(g).
-g*(g - 2)*(g - 1)**2/4
Suppose 0 = -79*v + 31*v - 69*v + 468. Determine b, given that 2/3*b + 2/3*b**5 - 4/3*b**3 + 2/9*b**v - 4/9*b**2 + 2/9 = 0.
-1, -1/3, 1
Let o(b) = -b - 18. Let c be o(-17). Let g(r) = 2*r**2 + 2*r. Let h be g(c). Factor h*p + 2/5*p**2 - 8/5.
2*(p - 2)*(p + 2)/5
Let f(k) = 5*k**2 + 1. Let t be f(2). Let d = 25 - t. Find z such that -6*z**2 - d*z**4 - 2*z**5 + 19*z**3 - 21*z**3 + 12*z**3 + 2*z**4 = 0.
-3, 0, 1