 -z**6/90 + 256*z**5/5 - 98304*z**4 + 100663296*z**3 - 1042*z**2. Factor k(p).
-4*(p - 768)**3/3
Let x(q) be the third derivative of 35*q**8/2592 - q**7/54 + q**6/90 + 34*q**5/15 + 142*q**2. Let g(k) be the third derivative of x(k). Factor g(b).
2*(35*b - 6)**2/9
Suppose 7*v = 3*v + 68. Let q = v - 13. Factor -x**2 - x**4 + 2*x**5 + 3*x**q + 6*x**3 + 3*x**2 + 4*x**4.
2*x**2*(x + 1)**3
Let g(r) = -15*r**4 - 100*r**3 - 70*r**2 + 120*r + 265. Let i(l) = 2*l**4 + 14*l**3 + 10*l**2 - 17*l - 39. Let v(n) = -3*g(n) - 20*i(n). Factor v(q).
5*(q - 1)*(q + 1)**2*(q + 3)
Let j be 1 - -1 - (-175)/7218*-75. Let b = j + -6/401. Solve 1/6*h**3 + 0*h**2 - 1/3*h**4 + 0 + b*h**5 + 0*h = 0.
0, 1
Let w be 1973/2 - ((-21)/(-6) - 6). Let z = w - 986. Let 0 - 1/6*s**2 + 1/6*s + 1/6*s**4 - 1/6*s**z = 0. What is s?
-1, 0, 1
Let m(n) = -2*n + 24. Let x = 12 + -1. Let r be m(x). Factor 9 - 12*o + 4*o**2 + 13*o**2 - 14*o**r.
3*(o - 3)*(o - 1)
Let v = -66203/36 - -1839. Let b(s) be the third derivative of -s**2 - 25/72*s**4 + 0 + 0*s + 10/9*s**3 + v*s**5. Solve b(p) = 0 for p.
1, 4
Let j(h) be the third derivative of h**5/12 - 145*h**4/8 + 215*h**3/3 + 597*h**2. Suppose j(x) = 0. What is x?
1, 86
Let v(w) = 3851*w + 84724. Let s be v(-22). Factor -4*j + 14*j**s + 2/7.
2*(7*j - 1)**2/7
Determine c so that 80/7*c + 0 - 2*c**3 - 68/7*c**2 + 2/7*c**4 = 0.
-4, 0, 1, 10
Let k(x) be the third derivative of x**8/112 + 9*x**7/70 + 27*x**6/40 + 27*x**5/20 - 1320*x**2 - x. Find p, given that k(p) = 0.
-3, 0
Let g be 9/((-36)/16) + 6. Find c such that -44*c + 35*c**2 + 29*c**2 - 48*c**g + 4*c**3 + 24 = 0.
-6, 1
Let z(s) be the third derivative of 0*s**4 + 1/80*s**5 - 3*s + 0*s**3 - 1/160*s**6 + 0 - s**2. Factor z(t).
-3*t**2*(t - 1)/4
Let l = -126724 - -126730. Suppose 52/3*m + 32/3 + l*m**2 = 0. Calculate m.
-2, -8/9
Let c be ((-1006)/(-13))/2*5/55. Let d = c - 37/11. Suppose 0*o + 0*o**2 + 0 + d*o**3 = 0. Calculate o.
0
Factor -42/5*k + 324/5 - 2/5*k**2.
-2*(k - 6)*(k + 27)/5
Let z(k) = 2*k**3 - 2*k**2 - k - 2. Let v(l) = -7*l**3 - 105*l**2 - 216*l - 103. Let y(a) = -v(a) - 3*z(a). Factor y(h).
(h + 1)**2*(h + 109)
Let t(o) be the second derivative of 1 + 17*o - 4/21*o**3 + 6/7*o**2 - 1/21*o**4. Determine u, given that t(u) = 0.
-3, 1
Suppose 0 = -53*b + 17136 + 8622. Let v = b - 483. Let -4/5 + 8/5*o**2 - 2/5*o**5 - 4/5*o**4 + 4/5*o**v - 2/5*o = 0. Calculate o.
-2, -1, 1
Let w(r) be the first derivative of 88*r - 39 + 157*r**2 + 2*r**3 - 19 + 2*r**3 - 23*r**2. Factor w(c).
4*(c + 22)*(3*c + 1)
Suppose -5*p + 2*m = -10, 4*p + m - 5 = 2*m. Suppose p = 2*o + 4*i - 6*i - 10, 0 = 2*o + 3*i. Suppose 9*l**2 - 3*l**3 + l**o - 5*l**2 = 0. What is l?
0, 2
Suppose -2*b = 5*v - 13, 4*v = 3*b - 136 + 174. Let k(s) be the third derivative of 1/2*s**4 + 0 - 1/20*s**5 - 2*s**3 + 0*s - v*s**2. Factor k(z).
-3*(z - 2)**2
Determine h so that 28*h**2 - 2003*h - 8*h**2 + 102*h - 15*h**2 - 114*h = 0.
0, 403
Let y(w) be the second derivative of -7/33*w**4 - 12/55*w**5 + 0 - 5/231*w**7 - 1/11*w**3 - 73*w + 0*w**2 - 6/55*w**6. Factor y(n).
-2*n*(n + 1)**3*(5*n + 3)/11
Suppose -4*o = -8, -3*a - 351 = o + 31. Let d = 130 + a. Factor -d*i - 2/3*i**2 + 8/3.
-2*(i - 1)*(i + 4)/3
Let b(m) = -7*m**3 - 27*m**2 + 1745*m + 424. Let k(j) = -6*j**3 - 27*j**2 + 1752*j + 423. Let c(t) = 6*b(t) - 5*k(t). Factor c(v).
-3*(v - 11)*(v + 13)*(4*v + 1)
Let r be (-2 - 15/(-10))*0. Let u = 31 - 27. Find o, given that 3/2*o**u + 0*o**3 + 0 - 3/2*o**2 + r*o = 0.
-1, 0, 1
Suppose 2*g - 272 = 4*u, u + 2*u - 6 = 0. Suppose -9*q = -4*q - g. Factor -38*n**3 - 2 - 9*n**4 - 2 + 19*n**2 - 41*n**2 - q*n - 31*n**2.
-(n + 1)**2*(n + 2)*(9*n + 2)
Factor -1698/17 + 572/17*p - 2/17*p**2.
-2*(p - 283)*(p - 3)/17
Let j(a) = -164*a**2 + 5292*a - 5296. Let q(y) = 21*y**2. Let i(m) = j(m) + 8*q(m). Factor i(u).
4*(u - 1)*(u + 1324)
Let d(i) be the second derivative of -343*i**6/6 + 392*i**5 - 1050*i**4 + 1440*i**3 - 1080*i**2 - 867*i. Factor d(r).
-5*(r - 2)*(7*r - 6)**3
Let s(i) be the first derivative of -4*i**5/5 + 191*i**4 + 256*i**3 - 1096. Let s(u) = 0. Calculate u.
-1, 0, 192
Factor 432/7*r**3 + 4/7*r**4 + 12088/7*r**2 + 11236/7 + 22896/7*r.
4*(r + 1)**2*(r + 53)**2/7
Let k(m) be the second derivative of m**5/100 - m**4/20 - 3*m**3/10 + 15*m**2 - 62*m. Let r(v) be the first derivative of k(v). Factor r(c).
3*(c - 3)*(c + 1)/5
Let x(a) = -25*a + 102. Let p be x(-6). Solve m**2 + 507*m - 251*m + 4 - p*m = 0 for m.
-2
Solve -279/7*i + 3/7*i**4 - 57/7*i**3 + 309/7*i**2 - 648/7 = 0 for i.
-1, 3, 8, 9
Let w be (-438)/(-27) - (-376)/846. Let p(m) be the first derivative of -w*m**3 - 115/12*m**4 + 15/2*m**2 - 4/3*m**5 + 0*m + 6. Factor p(a).
-5*a*(a + 3)**2*(4*a - 1)/3
Let w(y) be the third derivative of -y**7/945 - 2*y**6/135 + 109*y**5/135 + 26*y**4/3 - 507*y**3 + 2*y**2 - 2298*y - 2. Factor w(u).
-2*(u - 9)**2*(u + 13)**2/9
Suppose 0 = -2*n - 2, -4*z + 200 + 575 = n. Suppose -16*j**5 - 374*j**2 + z*j**2 - 55*j**4 - 54*j**5 + 25*j**3 + 190*j**2 = 0. What is j?
-1, -2/7, 0, 1/2
Suppose 0*b**5 - 2*b**5 + b**4 - 8*b**3 + 11*b**4 + 8*b**4 + 56*b**3 = 0. What is b?
-2, 0, 12
Let 4*h**4 - 339*h - 40*h**3 + 279*h + 80 + 172*h - 12*h**2 = 0. Calculate h.
-1, 2, 10
Factor 2*r**4 - 5*r**4 + 1751*r**2 - 1528*r**2 - 255*r**3 - 1423*r**2.
-3*r**2*(r + 5)*(r + 80)
Let b = -519 + 513. Let t be (27/b - (-12)/8)/(-1). Factor t + 3*q**2 + 1/2*q**3 + 11/2*q.
(q + 1)*(q + 2)*(q + 3)/2
Let k(j) = -28*j**2 + 1448*j - 5542. Let z(x) = 43*x**2 - 2173*x + 8312. Let v(u) = 14*k(u) + 9*z(u). What is s in v(s) = 0?
4, 139
Suppose 9*t - 7*t = -12*s + 18, s - 5*t - 17 = 0. Let y(i) = -i**3 + 4*i**2 - i - 4. Let g be y(3). Factor 9*q**s - 18*q**2 + 11*q**2 - g*q.
2*q*(q - 1)
Suppose 2*q + 325 = 7*q - 5*c, 5*c + 25 = 0. Let i be -1*q/54*(1 - 4). Factor 14/3*h + 2/3*h**3 + 2 + i*h**2.
2*(h + 1)**2*(h + 3)/3
Let p(m) be the third derivative of m**8/2856 - 143*m**7/1785 - 17*m**6/60 - 29*m**5/102 - 63*m**2 + 23. Factor p(g).
2*g**2*(g - 145)*(g + 1)**2/17
Let k(g) be the third derivative of -g**5/60 + 7*g**4/6 - 187*g**3/6 + 237*g**2. Solve k(u) = 0.
11, 17
Let r be (-13)/((-1092)/27100) + (-2)/6. Let a = r - 322. Factor -2/7*v**2 + a*v + 4/7.
-2*(v - 2)*(v + 1)/7
Let c be ((-901)/(-11))/(11/(-22)). Let l = c - -164. Factor -4/11*z**2 + l*z**3 + 4/11 - 2/11*z.
2*(z - 2)*(z - 1)*(z + 1)/11
Factor -9/2 - 1/4*g**3 - 3*g**2 - 29/4*g.
-(g + 1)*(g + 2)*(g + 9)/4
Suppose 3*i - r - 37 = 0, 3*i - 4*r = -2*r + 38. Let m be 16/i - (-8)/12. Factor -x**3 - 2*x**4 + 3*x**3 - 6*x**2 - m*x**4 - 11*x**3 - x.
-x*(x + 1)**2*(4*x + 1)
Let f(s) = 15*s**2 + 1930*s + 980. Let a(i) = -7*i**2 - 965*i - 492. Let z(b) = -5*a(b) - 3*f(b). Solve z(g) = 0 for g.
-96, -1/2
Let l(w) = -w**2 + 27*w - 47. Let q(i) = -4*i. Let y(r) = r**2 - 5*r + 48. Let b(m) = 6*q(m) + y(m). Let v(g) = -5*b(g) - 6*l(g). Factor v(a).
(a - 14)*(a - 3)
Let r(n) be the first derivative of 1/5*n**5 + 53 + 3/2*n**4 + 4*n**2 + 4*n**3 + 0*n. Determine g, given that r(g) = 0.
-2, 0
Let c(r) be the third derivative of 2523/7*r**3 + 2*r**2 + 1/210*r**5 + 19*r - 29/14*r**4 + 0. Suppose c(i) = 0. What is i?
87
Factor -6*h**4 + 2129206*h**2 + 430*h**3 + h**4 + 38348*h - 33620 - 3088*h - 2139271*h**2.
-5*(h - 41)**2*(h - 2)**2
Solve -3135/4*o**2 - 5/2*o**3 - 61230*o + 123245/4 = 0.
-157, 1/2
Let a = 238 + -245. Let q be (-2 - -12 - 14) + (-34)/a. Factor 0 + 6/7*k**3 + 2/7*k - q*k**2 - 2/7*k**4.
-2*k*(k - 1)**3/7
Let u be (-112)/(-22) + 1/(-11). Let t(f) = f**2 + 2*f - 1. Let v(p) = -4*p**2 + 14*p + 28. Let a(c) = u*t(c) + v(c). Solve a(l) = 0 for l.
-23, -1
Let n(l) = -6*l - 14. Let x(y) = -y - 2. Let h(p) = -n(p) - 2*x(p). Let z be h(-2). Determine w so that -2*w + 0 - 1/2*w**z = 0.
-4, 0
Let x(n) = -78*n - 1789. Let q be x(-23). Let y(c) be the second derivative of -25*c + 1/20*c**4 + 0 + 0*c**2 - 1/150*c**6 - 1/15*c**3 + 0*c**q. Factor y(s).
-s*(s - 1)**2*(s + 2)/5
Let g(q) be the second derivative of 13*q**3 + 40*q**2 + 105*q - 1. Let z be g(-1). Factor -2/5*s**z - 16/5 + 18/5*s.
-2*(s - 8)*(s - 1)/5
Let j(i) be the first derivative of 2*i**5/15 - 35*i**4/6 - 8*i**3 - 252. Factor j(b).
2*b**2*(b - 36)*(b + 1)/3
Let k(n) be the second derivative of 0*n**2 - 5/4*n**5 - 5/42*n**7 - 2/3*n**6 - 59*n - 5/6*n**4 + 0 + 0*n**3. Determine l so th