+ 12/(-6). Factor 0*d + w*d**3 + 8/17 - 6/17*d**2.
2*(d - 2)**2*(d + 1)/17
Let r(n) = 415*n**3 - 436*n**3 + 21*n + n**2 - 4 + 18. Let t(u) = u**3 - u**2 - u - 2. Let v(q) = r(q) + 5*t(q). Find b such that v(b) = 0.
-1, -1/4, 1
Let x(b) be the second derivative of -1/6*b**4 - 2*b + 1/3*b**3 + 0*b**2 - 5. Factor x(v).
-2*v*(v - 1)
Let l(c) be the third derivative of 32/15*c**5 - 8/3*c**4 - 1/168*c**8 + 0*c + 208*c**2 + 0*c**3 + 0 + 11/105*c**7 - 7/10*c**6. Solve l(k) = 0 for k.
0, 1, 2, 4
Let h(o) be the first derivative of o**5/120 + o**4/72 - o**3/9 - o**2/3 - 29*o - 34. Let q(w) be the first derivative of h(w). Factor q(c).
(c - 2)*(c + 1)*(c + 2)/6
Suppose -q = -3*f + 5 + 2, 3*f - 3*q - 3 = 0. Solve -12*u**2 - 4*u**f + 12*u + 2*u**2 + 6*u**3 = 0.
0, 2, 3
Factor 72 + 3/5*b**2 - 66/5*b.
3*(b - 12)*(b - 10)/5
Let t(z) be the second derivative of z**4/4 + 70*z**3 - 3731*z. Let t(n) = 0. Calculate n.
-140, 0
Suppose b + 3*q - 2 = q, -5*b - 2*q + 10 = 0. Suppose -5*y + b*y = -6. Factor -3*m**3 + 411*m**2 - 3*m**4 - 24 - 393*m**y + 0*m**3 + 12*m.
-3*(m - 2)*(m - 1)*(m + 2)**2
Let v be (-131)/12 - 759/(-69). Let m(x) be the second derivative of -1/2*x**2 + 0 + v*x**4 + 0*x**3 - 19*x. Factor m(c).
(c - 1)*(c + 1)
Let l be ((-144)/(-6))/(-4) + 444/72. Let r be -1*(-1)/(-2)*-10. Solve 4/3*d + l*d**4 + 1/6*d**r - 1/6*d**2 - 5/6*d**3 - 2/3 = 0.
-2, 1
Let n(t) be the second derivative of t**6/10 + 87*t**5/4 + 567*t**4/4 + 423*t**3/2 - 4*t - 501. Factor n(z).
3*z*(z + 1)*(z + 3)*(z + 141)
Let z(w) be the first derivative of w**4/10 + 44*w**3/3 - 223*w**2/5 + 224*w/5 + 469. Factor z(p).
2*(p - 1)**2*(p + 112)/5
Let s be -4*2 + -2 + -1 + (-6156)/(-540). Factor 0*q + 0 - s*q**3 - 4/5*q**2 + 2/5*q**4.
2*q**2*(q - 2)*(q + 1)/5
Let a(r) = -16*r**3 - 108*r**2 + 156*r - 36. Let x(i) = -49*i**3 - 324*i**2 + 467*i - 108. Suppose -20*g + 18 = -62. Let z(d) = g*x(d) - 14*a(d). Factor z(k).
4*(k - 1)*(k + 9)*(7*k - 2)
Factor 22*i**4 + 62*i**5 - 55*i**3 + 54*i**4 - 56*i**4 - 128*i**5 + 71*i**5 + 30*i**2.
5*i**2*(i - 1)**2*(i + 6)
Suppose -3 - 101 = -8*l. Suppose -2*k + 9*u = 13*u + 2, -2*k + l = -u. Find w, given that -5/2*w + 5/2*w**2 - k = 0.
-1, 2
What is s in -156/7*s**3 + 135/7*s**5 + 24/7*s**2 + 186/7*s**4 + 0*s + 0 = 0?
-2, 0, 2/9, 2/5
Let n(r) = -6*r**2 - 861*r - 183039. Let v(q) = -7*q**2 - 862*q - 183010. Let g(p) = -6*n(p) + 5*v(p). Find i, given that g(i) = 0.
-428
Let t(a) be the first derivative of 1048/15*a**3 + 5/3*a**6 - 44*a**2 + 57 + 64/5*a - 491/10*a**4 + 52/5*a**5. Solve t(d) = 0 for d.
-8, 2/5, 1
Let m(v) = 18*v**3 + 15*v**2 - 45*v - 180. Let x(k) = 23*k**3 + 16*k**2 - 43*k - 180. Let y(u) = 4*m(u) - 3*x(u). Determine l so that y(l) = 0.
-5, -3, 4
Let r(h) be the second derivative of 49*h**5/80 - 35*h**4/3 - 83*h**3/6 - 6*h**2 + 7*h - 101. Let r(i) = 0. What is i?
-2/7, 12
Factor -16 + 2216*s**4 + 12*s**2 - s - 1109*s**4 - 1106*s**4 - 3*s + 7*s**3.
(s - 1)*(s + 2)**2*(s + 4)
Let b = 265 + 434. Suppose k = -2*k - 3*i + b, i + 2 = 0. Let -5*u**4 + 5*u**2 - u**3 + 2*u - 238*u**5 + 2*u**3 + k*u**5 = 0. What is u?
-1, -2/3, 0, 1
Let q(i) = 13*i**2 - 24784*i + 30702392. Let v(m) = -2*m**2 + m + 7. Let b(p) = -q(p) - 4*v(p). Factor b(k).
-5*(k - 2478)**2
Let i(d) = -364*d - 34. Let f be i(4). Let r = f - -1511. Factor -12 - 600/7*h - 159*h**2 - r*h**3.
-3*(h + 7)*(7*h + 2)**2/7
Let v(z) be the third derivative of -z**7/70 - 97*z**6/60 - 191*z**5/60 - z**2 - 1065. Factor v(w).
-w**2*(w + 1)*(3*w + 191)
Suppose 106*n + 33 = 117*n. Let g(l) be the third derivative of 3/32*l**4 + 0*l - 1/160*l**5 - 9/16*l**n + 11*l**2 + 0. Factor g(o).
-3*(o - 3)**2/8
Let b = -28 - -27. Let a(f) = 3*f**2 - f. Let y be a(b). Factor -15*j + 4*j**3 + y*j**2 + 0*j**3 + 6*j**2 + j**3.
5*j*(j - 1)*(j + 3)
Let y(t) be the third derivative of 7/12*t**8 + 1 + 0*t - 3*t**2 - 37/4*t**4 + 11/5*t**7 - 1/20*t**6 - 6*t**3 - 197/30*t**5. Suppose y(i) = 0. What is i?
-2, -1/2, -3/7, 1
Suppose 66*l = 694*l - 1256. Determine z, given that 3/2*z - 1/8*z**3 + 0*z**2 + l = 0.
-2, 4
Let s(g) = 29*g + 2. Let r be (-2 + 7 - 16) + 11. Let a be s(r). Determine t so that -4/9*t**3 + 0*t**a + 4/9*t**5 + 0*t + 0*t**4 + 0 = 0.
-1, 0, 1
Determine d, given that -67*d**3 - 144*d**2 - 263*d**2 + 15*d**3 + 23*d**3 + 28*d**3 = 0.
-407, 0
Let q be 32/30 + (-4)/6. Let m = 4144372/10360955 + 2/2072191. Let -2/5*i**2 + 2/5*i**3 + q - m*i = 0. Calculate i.
-1, 1
Let z(u) be the first derivative of u**6/24 - u**5/10 - 37*u**4/8 + 100*u**3/3 - 575*u**2/8 + 125*u/2 - 4171. Solve z(g) = 0 for g.
-10, 1, 5
Let q = 95 - 92. Find h such that -11*h - 50 - 3*h + 62 - 9*h + h**q + 10*h**2 = 0.
-12, 1
Let t be 91/21 - 10/30. Suppose p - 4*p + 4*a + 1 = 0, 0 = t*p - 2*a - 8. Let -27/2*z**3 + 18*z**2 + p + 33/2*z = 0. Calculate z.
-1/3, 2
Factor 2*u**2 + 40 - 184/3*u.
2*(u - 30)*(3*u - 2)/3
Let g be (9 + (-876)/96)/((-27)/12). Let d(n) be the third derivative of 0 + 0*n + g*n**4 + 1/360*n**6 + 0*n**3 - 20*n**2 + 1/45*n**5. Factor d(w).
w*(w + 2)**2/3
Let d(c) be the second derivative of c**5/90 + c**4/18 - 2*c**3/3 - 441*c - 1. Find b such that d(b) = 0.
-6, 0, 3
Let r = -475031 - -4280663/9. Let n = -598 + r. Let -2/3*q**3 - 2/9 - n*q + 10/9*q**2 = 0. Calculate q.
-1/3, 1
Let r(f) be the second derivative of -f**7/42 - f**6/8 + 5*f**4/6 - 24*f**2 + f + 11. Let k(c) be the first derivative of r(c). Factor k(p).
-5*p*(p - 1)*(p + 2)**2
Let t = -6 - -49. Suppose -2*g + 53 = t. Factor 3*z**5 + 2/3*z - g*z**2 - 29/3*z**4 + 0 + 11*z**3.
z*(z - 1)**3*(9*z - 2)/3
Let 438 + 1/3*w**2 - 147*w = 0. Calculate w.
3, 438
What is h in 160*h**4 - 52800*h - 1115*h**2 + 5/6*h**5 + 46080 + 46045/6*h**3 = 0?
-96, -3, 1, 2
Solve -39*h**3 - 163*h**4 - 63*h**3 - 20*h**2 - 37*h**2 + 18*h + 136*h**4 = 0.
-3, -1, 0, 2/9
Let x = 3204/53 - 158819/1590. Let w = -227/6 - x. Factor 8/5*v**3 + 6/5*v**2 + 2/5*v**4 - w*v - 8/5.
2*(v - 1)*(v + 1)*(v + 2)**2/5
Suppose -5*w = -4*w - 2. Suppose -5*g - 5*p - w = -37, 3 = 5*g - 3*p. Factor 0*k**g + k**2 + 3*k**4 + 6*k**5 - 4*k**5 - k**5 + 3*k**3.
k**2*(k + 1)**3
Factor 284*b**3 + 60*b**4 - b**2 - 194*b**2 + 4*b**5 + 727*b**2 + 128 + 432*b.
4*(b + 1)**3*(b + 4)*(b + 8)
Find g such that -1/2*g**2 - 45/2*g - 63 = 0.
-42, -3
Let m(t) = 8*t**2 - 30*t + 85. Let w(y) = 3*y**2 + 83 + 4*y**2 + 60*y - 90*y. Let k(v) = 4*m(v) - 5*w(v). Factor k(z).
-3*(z - 5)**2
Determine c, given that 536*c**2 - 177*c**2 - 3*c**4 + 7*c**4 + 640*c**2 + 198*c**3 - 74844*c - c**4 + 428652 = 0.
-42, 9
Suppose 48 = 20*u - 72. Let p(y) = 22*y**3 - 1. Let z be p(2). Factor 6*m**2 + 3 - u + 4*m**3 - z*m + 167*m - 2*m**4 - 5.
-2*(m - 2)**2*(m + 1)**2
Let m(r) = -r**3 - 4*r**2 + 11*r - 2. Let w be (-2)/(1 - (-4)/(-6)). Let b be m(w). Factor 19*l**b - 8*l**3 + 18*l**4 + 4 + 8*l - 41*l**4.
-4*(l - 1)*(l + 1)**3
Factor -1/6*k**2 - 62/3 + 32/3*k.
-(k - 62)*(k - 2)/6
Let l(x) be the second derivative of x**7/14 - 15*x**5/4 - x - 74. Find v such that l(v) = 0.
-5, 0, 5
Let g(l) be the first derivative of 3*l**4 + 188*l**3/3 + 216*l**2 + 208*l + 975. Factor g(j).
4*(j + 2)*(j + 13)*(3*j + 2)
Let y(i) = 40*i + 645. Let l be y(-16). Let z(k) be the first derivative of -135*k - 25/2*k**4 - 5/6*k**6 + 135/2*k**2 + 20 + 30*k**3 - 7*k**l. Factor z(a).
-5*(a - 1)**2*(a + 3)**3
Solve 387/4*h + 0 + 49/4*h**3 + 267/4*h**2 + 1/4*h**4 = 0 for h.
-43, -3, 0
Find p, given that 12994/7*p**3 + 1/7*p**5 - 12995/7*p - 12542/7*p**2 - 227/7*p**4 + 12769/7 = 0.
-1, 1, 113
Let z(k) be the third derivative of 225*k**2 - 1/360*k**5 - 7/72*k**4 + 0 + 8/9*k**3 + 0*k. Determine s so that z(s) = 0.
-16, 2
Suppose 0*i - 2*i - 950 = 3*o, 0 = -4*o - 5*i - 1262. Let s = o - -320. Suppose 0 + 2/3*r**3 - 4/3*r + 2/3*r**s = 0. What is r?
-2, 0, 1
Let b be 108/378 + (-4)/(-35). Solve b*z**2 + 2/5*z + 0 - 2/5*z**4 - 2/5*z**3 = 0 for z.
-1, 0, 1
Let h = -691 - -692. Suppose 5*j + u = -h, -4*j - 5*u = -5*j + 5. Factor -4/3*z**4 + 4*z**3 + 0 + j*z - 8/3*z**2.
-4*z**2*(z - 2)*(z - 1)/3
Let d(v) be the first derivative of v**4/8 + 13*v**3 + 360*v**2 + 3888*v + 5933. Factor d(i).
(i + 12)**2*(i + 54)/2
Let t(q) be the second derivative of q**4/90 - 119*q**3/45 - 8*q**2 + 19*q - 54. Let t(v) = 0. Calculate v.
-1, 120
Let q(l) = 2*l**2 + 290*l + 461. Let n(o) = 6*o**2 + 870*o + 1346. Let g(f) = -6*n(f