*o + 5 = 6*o. Factor -1/3*k**4 + 2/3*k**2 - 1/3*k - 1/3*k**5 - 1/3 + 2/3*k**g.
-(k - 1)**2*(k + 1)**3/3
Suppose -3*x + v + 8 = -1, 3*x - 5*v - 21 = 0. Suppose 0 = -4*h + 12, -5*h + x = k - 15. Factor 4 + 49*m**k - 15*m - 6 + 6 - 13*m.
(7*m - 2)**2
Let i(a) = -a**2 - 3*a + 7. Let r be i(-3). Suppose -r*j + 38 = -5*j. Factor -5*w**5 + j*w**2 + 14*w**4 - 4*w**2 + 11*w**4 - 35*w**3.
-5*w**2*(w - 3)*(w - 1)**2
Suppose -7*a - 117 - 128 = 0. Let k be (-6)/(-63)*(-21 - a). Factor -4*b**2 - k - 16/3*b.
-4*(b + 1)*(3*b + 1)/3
Factor 798 - 167*d + 18 - 122*d**2 + 51*d + 244*d**2 - 118*d**2.
4*(d - 17)*(d - 12)
Let k = -27 - -46. Let b(l) be the first derivative of 0*l**2 - 25/4*l**4 - 10/3*l**3 + 0*l - 3*l**5 - k. Determine a so that b(a) = 0.
-1, -2/3, 0
Let 0 - 6/11*u - 100/11*u**5 - 74/11*u**2 - 262/11*u**4 - 230/11*u**3 = 0. Calculate u.
-1, -1/2, -3/25, 0
Let b(x) = -57*x**2 - 2124*x - 187974. Let k(u) = -20*u**2 - 708*u - 62658. Let g(p) = 6*b(p) - 17*k(p). Determine o so that g(o) = 0.
-177
Suppose -12288/5 - 284*m**2 + 118/5*m**3 - 9472/5*m - 2/5*m**4 = 0. What is m?
-3, -2, 32
Factor -41*v**3 + 90*v**3 - 155 + 315*v - 27*v**3 - 165*v**2 - 17*v**3.
5*(v - 31)*(v - 1)**2
Let l(f) be the second derivative of f**3/6 - 5*f**2/2 - 9*f - 7. Let q be l(7). Solve 1/7*o**q + 0 + 2/7*o = 0 for o.
-2, 0
Let n(r) be the first derivative of -r**6/1800 - r**5/300 - r**4/120 - 8*r**3 + 31. Let k(i) be the third derivative of n(i). Factor k(s).
-(s + 1)**2/5
Let x(w) = -72*w**3 + 507*w**2 - 1341*w + 897. Let u(k) = k**4 - 143*k**3 + 1012*k**2 - 2680*k + 1795. Let a(s) = -3*u(s) + 5*x(s). Solve a(g) = 0.
1, 5, 12
Factor -3/7*f**3 + 0*f**2 - 6/7*f**4 + 0 - 3/7*f**5 + 0*f.
-3*f**3*(f + 1)**2/7
Let b(w) be the first derivative of -11*w**4/2 - 16*w**3/3 + 93*w**2 + 180*w - 7466. Factor b(i).
-2*(i - 3)*(i + 1)*(11*i + 30)
Suppose 29/3*r**4 - 1 + 8/3*r**5 + 14/3*r**2 - 4/3*r + 12*r**3 = 0. What is r?
-1, 3/8
Suppose -3*f = 5*a + 2 - 26, -9 = -5*f + 2*a. Suppose 5*n - 13 = n + 3*v, -v + 21 = 5*n. Suppose 4*u**3 + 0*u**4 + u**n - 4*u - u**f - 2*u**4 = 0. Calculate u.
-1, 0, 2
Let y(q) = 6*q**2 - 192*q - 393. Let b(d) = -5*d**2 + 194*d + 396. Let u(c) = 5*b(c) + 4*y(c). Solve u(s) = 0.
-2, 204
Suppose -4*x + 141 = -11*x + 309. Let b(w) be the first derivative of -x + 5/3*w**3 + 15*w - 10*w**2. Factor b(d).
5*(d - 3)*(d - 1)
What is j in -48*j**3 + 273/2*j**2 + 45 - 6*j**4 + 339/2*j = 0?
-10, -1/2, 3
Let v = -303/10913 - -266/1559. Factor v*o**2 - 8/7*o + 12/7.
(o - 6)*(o - 2)/7
Let g be (8/174)/((-36)/(-3186)) - (-116)/(-1682). Find n, given that 0*n - 3/4 + 3/2*n**2 - 3/4*n**g + 0*n**3 = 0.
-1, 1
Let h = 41 + 11. Let y = h - 33. Factor -31*j**2 - 32*j**3 + j + y*j**2 + j + 17*j**4 + 25*j**2.
j*(j - 1)**2*(17*j + 2)
Let h be 781/(-66) + 11 + 12937/(-6). Let u = h - -23747/11. Factor -2/11*d**5 + 10/11*d**4 - 20/11*d**3 - 10/11*d + u*d**2 + 2/11.
-2*(d - 1)**5/11
Let u be (-540)/(-70) + -2*2/(-14). Let c be (-142)/(-72) - (u/36 - 0). Solve c*p**2 + 0*p - 1 - 3/4*p**3 = 0 for p.
-2/3, 1, 2
Suppose 5*b - 85 = -5*p, 0*p + 5*p - 4*b = 112. Let y be 20/15*(-2 + p). Factor -l**2 + 2*l**2 - 6*l**3 + 13 + 8*l**2 - 3*l**4 - 1 + y*l.
-3*(l - 2)*(l + 1)**2*(l + 2)
Let l(j) = 2*j**2 + 22*j - 12. Let y be l(-12). Let r be (64/y)/(-16)*(-18)/10. Solve -3/5*i + 0 - r*i**2 = 0 for i.
-1, 0
Let a(c) be the second derivative of -c**4/4 + 19*c**3/2 - 51*c**2 + 6983*c + 1. What is g in a(g) = 0?
2, 17
Let w(v) = v**2 - 7*v - 16. Let g be w(10). Suppose -3*z + 2*f + g = -2*z, 4*f = 5*z - 40. What is j in -660*j + 6*j**2 + j**z + 2*j**4 + 9*j**3 + 660*j = 0?
-2, -1, 0
Let u(k) be the first derivative of k**6/6 - k**5/4 - 63*k + 33. Let w(t) be the first derivative of u(t). Factor w(f).
5*f**3*(f - 1)
Let n = -42851/13 - -3299. Factor 20/13*j**2 + 2/13*j**3 + 14/13*j - n.
2*(j - 1)*(j + 2)*(j + 9)/13
Let u be 1492/3 + 112/16. Let s = -504 + u. Factor s*v**3 + 0 - 1/3*v**4 + 1/3*v**2 - 1/3*v.
-v*(v - 1)**2*(v + 1)/3
Factor 0 + 46*v - 6*v**3 - 6 + 670*v**2 - 6*v**3 + 50 - 680*v**2.
-2*(v - 2)*(v + 1)*(6*v + 11)
Find x, given that -116/13*x + 0 + 54/13*x**2 + 2/13*x**3 = 0.
-29, 0, 2
Factor 422 + 7*h**2 - 1330 - 5*h**2 + 118*h + 282 + 254.
2*(h - 3)*(h + 62)
Suppose 0 = -w - 3*l + 425, 5*w - w + 3*l - 1718 = 0. Let 9*z**4 - 30*z**3 + 431*z + 3*z**5 - w*z = 0. Calculate z.
-5, 0, 2
Let n(c) = 13*c**2 + 382*c + 1560. Let f(u) = -138*u**2 - 3822*u - 15600. Let o(d) = 2*f(d) + 21*n(d). Factor o(s).
-3*(s - 130)*(s + 4)
Let s(m) be the first derivative of 3*m**4/8 - 129*m**3 - 3*m**2/4 + 387*m - 729. Factor s(t).
3*(t - 258)*(t - 1)*(t + 1)/2
Let o(d) = d**2 - d - 3. Let a(s) = -6*s**2 + 116*s + 24. Let r(w) = a(w) + 8*o(w). Factor r(g).
2*g*(g + 54)
Suppose -x - 5*j = 3*x - 201, 5*x - 258 = -4*j. Determine z, given that -38*z**3 + 22*z**4 - x - 53 - 2*z**5 + 18*z**2 + 107 = 0.
0, 1, 9
Suppose 7*h + 2*h = 36. Suppose -6 = -20*s + 17*s. Determine d, given that -21*d**3 - 7*d**5 + 2*d**5 - h*d**3 + 10*d**s + 0*d**2 + 20*d**4 = 0.
0, 1, 2
Let v(x) be the first derivative of -x**4/78 + 20*x**3/39 - 100*x**2/13 - 60*x - 58. Let w(u) be the first derivative of v(u). What is k in w(k) = 0?
10
Let r(g) be the second derivative of g**4/30 + 52*g**3/15 - 413*g**2/5 + 2553*g. Factor r(z).
2*(z - 7)*(z + 59)/5
Let f = 1003021/5 + -200604. Solve f*p**2 - 7/5 + 6/5*p = 0.
-7, 1
Let a(u) = -28*u**2 - 8*u. Let b be 0/2 - 312/(-8). Let r be b/(-15) + -5 - (-2)/(-5). Let f(j) = -84*j**2 - 24*j. Let w(p) = r*a(p) + 3*f(p). Factor w(g).
-4*g*(7*g + 2)
Let z(x) = -x**3 - 6*x**2 - 3*x - 150. Let f be z(-8). Factor 6/5*s**4 + 2/5*s**f - 2/5*s + 2*s**3 + 0.
2*s*(s + 1)**2*(3*s - 1)/5
Suppose 41*g - 264 = -3*g. Suppose 9 = g*q - 3. Let 4/15*s**3 + 0*s + 0 + 0*s**q - 2/15*s**4 = 0. What is s?
0, 2
Let x(f) be the first derivative of f**3/9 - 11*f**2/6 - 80*f/3 + 1008. Factor x(v).
(v - 16)*(v + 5)/3
Let q be ((-669)/2230 - (-14)/20)*12. Factor 3/5*b**5 + q*b**2 + 0 - 9/5*b + 0*b**4 - 18/5*b**3.
3*b*(b - 1)**3*(b + 3)/5
Let c(g) be the third derivative of g**5/12 + 865*g**4/24 + g**2 + 2197. Let c(x) = 0. Calculate x.
-173, 0
Suppose 58*n = 64*n - 12. Factor -3*v**2 - 224*v**3 + 5*v**5 - 77*v**n + 164*v**3.
5*v**2*(v - 4)*(v + 2)**2
Let s = -10/32467 - -64964/97401. Factor 2/9*c**4 + 10/9*c - 2/9*c**3 - 4/9 - s*c**2.
2*(c - 1)**3*(c + 2)/9
Suppose 1408*v - 3*v**5 + 3544*v**4 + 1212*v**2 - 3732*v**4 - 1402*v**3 - 1024 - 3*v**5 = 0. Calculate v.
-16, -1, 2/3, 1
Suppose -y + 6*y = v + 18, 2 = -v + y. Determine o, given that 2*o - 14 - 11*o - 6*o - o**v = 0.
-14, -1
Let s(y) be the second derivative of -y**7/70 + y**5/20 - 10*y**2 - y - 32. Let x(p) be the first derivative of s(p). Solve x(g) = 0 for g.
-1, 0, 1
Suppose 494*o = 986*o - 495*o + 15. Let g(y) be the second derivative of 1/3*y**3 + 3/10*y**o - 1/15*y**6 + 0*y**2 - 1/2*y**4 + 0 + 11*y. Factor g(z).
-2*z*(z - 1)**3
Let w(b) be the second derivative of -b**6/15 + 79*b**5/5 - 313*b**4/6 + 52*b**3 - 4069*b. Factor w(f).
-2*f*(f - 156)*(f - 1)**2
Suppose 24*c - 12*c + 7*c = 0. Let r(b) be the first derivative of 5/4*b**4 + 5/2*b**2 + c*b - 10/3*b**3 + 14. Factor r(p).
5*p*(p - 1)**2
Factor 8/7*f - 4/7*f**3 + 96/7 - 20/7*f**2.
-4*(f - 2)*(f + 3)*(f + 4)/7
Let s = 1742/3 + -11613/20. Let z(u) be the third derivative of 1/12*u**4 - 1/15*u**5 + 0 - 6*u**2 + 0*u**3 + s*u**6 + 0*u. Factor z(n).
2*n*(n - 1)**2
Let f(q) be the second derivative of -q**5/20 + 3*q**4/2 - 35*q**3/2 + 100*q**2 - 6*q - 12. Find x, given that f(x) = 0.
5, 8
Let v(t) = 85*t**2 + 17086*t - 17083. Let u(s) = 15*s**2 + 3417*s - 3416. Let i(b) = -11*u(b) + 2*v(b). What is x in i(x) = 0?
1, 682
Suppose 0 = -2*s - 5 + 11. Let r = 5124824 - 5124824. Let 0*j + 4*j**s + 16/9*j**2 + r - 10/9*j**4 = 0. What is j?
-2/5, 0, 4
Let v be (2 + 4)*15/(-9). Let n be (1778/168 + v)*(-4)/(-14). Factor n + 0*p - 1/6*p**2.
-(p - 1)*(p + 1)/6
Suppose -5*o + 10 = -3*o. Let z(k) = -4*k**2 - 208*k + 24. Let b(r) = r**2 + 42*r - 5. Let d(a) = o*z(a) + 24*b(a). Let d(m) = 0. Calculate m.
0, 8
Suppose 4*h + 13*n - 15*n - 14 = 0, 4*n + 19 = 5*h. Factor -24*f - 12*f - 2*f**3 - f**h - 39*f**2.
-3*f*(f + 1)*(f + 12)
Let v(q) be the second derivative of -3*q**5/100 - 17*q**4/40 + 3*q**3/5 + 45*q**2/2 + 16*q. Let j(u) be the first deriva