*6/15 - 2243*m**5/5 - 200*m**4/3 + 13199*m**3/3 + 8978*m**2 + 2*m + 324. Solve k(n) = 0 for n.
-1, 2, 67
Let n be (-2)/5 + (2 - 457/(-5)). Let m = n - 91. Factor -1/4*a**m + a + 0.
-a*(a - 4)/4
Factor 216314*p**2 + 50*p**3 + 178*p - 2*p**4 + 968 + 372*p - 216680*p**2.
-2*(p - 11)**2*(p - 4)*(p + 1)
Suppose -135/2*s + 1/2*s**2 + 0 = 0. Calculate s.
0, 135
Let w(h) be the third derivative of -h**7/42 - 17*h**6/24 - 17*h**5/4 + 85*h**4/24 + 130*h**3/3 - 3476*h**2. What is y in w(y) = 0?
-13, -4, -1, 1
Factor 4*y**4 - 120*y**3 - 1557*y + 2028 + 2420*y**2 - 1316*y**2 - 1459*y.
4*(y - 13)**2*(y - 3)*(y - 1)
Let t(m) be the second derivative of 0*m**2 + 0 - 1/78*m**4 + 25*m + 0*m**3 - 1/195*m**6 - 1/65*m**5. Factor t(a).
-2*a**2*(a + 1)**2/13
Let l(o) be the third derivative of -o**6/200 + 9*o**5/10 + 183*o**4/40 + 46*o**3/5 + 1815*o**2. Solve l(t) = 0 for t.
-1, 92
Let z(q) = -2*q**2 - 10*q - 3. Let r(p) be the first derivative of -5/3*p**3 - 10*p**2 - 3 - 5*p. Let m(o) = -3*r(o) + 5*z(o). Factor m(a).
5*a*(a + 2)
Let s be 0 - (-3)/3 - -1. Let h = -1945255/6 - -324210. Determine q so that -2/3*q - h*q**s + 0 - 1/6*q**3 = 0.
-4, -1, 0
Let l(r) = -3841*r + 153640. Let w be l(40). Factor -2/9*j**3 + w + 2*j + 0*j**2.
-2*j*(j - 3)*(j + 3)/9
Let j(r) be the first derivative of -5*r**4/4 + 35*r**3/3 - 15*r**2 - 673. Factor j(f).
-5*f*(f - 6)*(f - 1)
Let o = 3302 - 3293. Let r(j) be the third derivative of -1/20*j**6 - 1/105*j**7 + o*j**2 + j**4 + 8/3*j**3 + 0 + 0*j + 1/15*j**5. Find k, given that r(k) = 0.
-2, -1, 2
Let p = 14552 + -392903/27. Let s(w) be the second derivative of 0*w**2 + p*w**3 + 1/108*w**4 - 1/270*w**6 - 12*w - 1/90*w**5 + 0. Factor s(c).
-c*(c - 1)*(c + 1)*(c + 2)/9
Let m = 2189 + -2167. Let c(s) be the second derivative of -13/24*s**4 + m*s + 0 + 3/20*s**5 + s**3 - s**2 - 1/60*s**6. What is d in c(d) = 0?
1, 2
Suppose -96*i = -219*i + 106*i. Let n(y) be the second derivative of -11/7*y**3 + 12/7*y**2 + 17/28*y**4 - 9/140*y**5 + y + i. Determine d, given that n(d) = 0.
2/3, 1, 4
Let d(k) = -5*k**3 + 11*k**3 - 8*k**2 - 6*k**2 + 9*k. Suppose 0*f - 2*f = -2. Let q(t) = t**3 + t**2 - t. Let j(p) = f*d(p) - q(p). Factor j(m).
5*m*(m - 2)*(m - 1)
Let z(s) = -13*s**2 + 1701*s + 12. Let f(a) = 61*a**2 - 8506*a - 56. Let n(t) = 3*f(t) + 14*z(t). Factor n(g).
g*(g - 1704)
Let v(u) be the first derivative of 40*u**2 - 4*u**4 + 50*u + 74 + 4*u**3 + 2/5*u**5. Factor v(i).
2*(i - 5)**2*(i + 1)**2
Let z(f) = 6*f**4 + 203*f**3 + 175*f**2 - 389*f - 5. Let c(q) = -9*q**4 - 304*q**3 - 263*q**2 + 583*q + 7. Let b(o) = -5*c(o) - 7*z(o). Factor b(n).
3*n*(n - 1)*(n + 2)*(n + 32)
Let i be 27/(9/21 + 944/(-2268)). Let -i*f + 22 + 2151*f + 10 + 4*f**2 = 0. What is f?
1, 8
Let i(c) be the third derivative of -c**8/784 + 29*c**7/245 - 93*c**6/56 + 298*c**5/35 - 14*c**4 - 2*c**2 - c + 174. Determine g, given that i(g) = 0.
0, 1, 4, 49
Let r(u) = -4*u**3 - 542*u**2 - 35910*u + 36454. Let s(t) = -5*t**3 - 544*t**2 - 35910*t + 36456. Let q(c) = -3*r(c) + 2*s(c). Let q(f) = 0. Calculate f.
-135, 1
Let u(k) be the first derivative of k**3/9 - 67*k**2/6 + 130*k/3 + 1491. Let u(m) = 0. What is m?
2, 65
Factor 243/5 - 8/5*j**4 - 1/10*j**5 - 27/5*j**2 + 297/10*j - 36/5*j**3.
-(j - 2)*(j + 3)**3*(j + 9)/10
Factor 19200*c - 320571 + 3698938*c**2 + 4*c**3 + 64571 - 3699418*c**2.
4*(c - 40)**3
Let n(d) be the first derivative of 2*d**5/55 + 1246*d**4/11 + 1552516*d**3/11 + 967217468*d**2/11 + 301288241282*d/11 - 997. Factor n(w).
2*(w + 623)**4/11
Let l(r) be the first derivative of r**3/15 + 868*r**2/5 + 753424*r/5 + 1344. Solve l(p) = 0 for p.
-868
Let p = -79494 + 79496. Find l, given that -50/3*l - 5/3*l**p - 80/3 = 0.
-8, -2
Let f(k) be the first derivative of 5*k**4/4 + 30*k**3 + 165*k**2/2 - 2420*k - 203. Factor f(c).
5*(c - 4)*(c + 11)**2
Factor -3*v**2 + 2*v**2 + 15*v**2 + 100 - 14*v**2 - 2*v**2 + 199*v.
-(v - 100)*(2*v + 1)
Determine g so that 16*g**3 - 26*g**4 - 35*g**2 + 120 + 62*g**4 - 15*g**4 - 16*g**4 + 4*g**3 - 110*g = 0.
-4, -3, 1, 2
Let w(y) be the first derivative of -105*y - 9*y**3 + 8*y**3 + 38*y**2 + 67*y**2 - 12*y**2 - 125 - 2778*y. Factor w(k).
-3*(k - 31)**2
Let x(w) be the third derivative of -w**6/40 + 59*w**5/20 - 28*w**4 + 110*w**3 - 2080*w**2 - 1. Determine o so that x(o) = 0.
2, 55
Let x(d) be the first derivative of d**6/15 - 3*d**5/10 + 4*d**3/3 - 54*d - 74. Let n(q) be the first derivative of x(q). Factor n(b).
2*b*(b - 2)**2*(b + 1)
Let r be (-396)/(-54) + 1892/(-330). Let -r*k**2 + 14/5*k**5 - 8/5*k + 54/5*k**3 + 0 - 52/5*k**4 = 0. What is k?
-2/7, 0, 1, 2
Let u = -219353/5 + 43871. Solve -u*s**2 + 4/5 - 2/5*s = 0.
-2, 1
Let f = 527074 + -527071. Solve -3/2*v**4 + 27*v**f - 243/2*v**2 + 0 + 0*v = 0.
0, 9
Factor 361244*y**2 + 2*y**4 - 1696*y**3 - 389843*y - 55675*y - 271890*y + 357858.
2*(y - 423)**2*(y - 1)**2
Let d = -143 + 138. Let g(s) = -4*s**2 - 12*s. Let p(o) = 2*o**2 + 6*o. Let r(n) = d*p(n) - 3*g(n). Factor r(q).
2*q*(q + 3)
Let i = 436 + -266. Let l be (-5 + i/35)/(1/(-8)). Factor l*p**2 - 4/7*p**4 + 0*p + 0 + 4/7*p**3.
-4*p**2*(p - 2)*(p + 1)/7
Determine c so that -2319104*c**2 - 53 - 2*c**4 + 520*c + 38*c**3 + 2318876*c**2 - 347 = 0.
2, 5, 10
Let x(c) be the first derivative of 0*c**2 - 1/3*c**3 - 1/21*c**7 + 0*c**6 + 0*c**4 + c - 2 + 1/5*c**5. Let n(i) be the first derivative of x(i). Factor n(o).
-2*o*(o - 1)**2*(o + 1)**2
Let g(d) = -d**2 - 16*d - 37. Let m be g(-13). Find h, given that 3*h**3 + 4*h**3 - 20*h + 65*h**4 - 60*h**4 - 20*h**2 - m*h**3 = 0.
-2, -1, 0, 2
Suppose -4*g + 5*b = -95, -4*g = 8638*b - 8635*b + 25. What is a in 2/3*a**g - 8/3*a**3 + 0*a**4 + 2*a + 4/3*a**2 - 4/3 = 0?
-2, -1, 1
Let v(z) = 5*z**2 + 134*z + 423. Let k(q) = 15*q**2 + 399*q + 1268. Let m(a) = 3*k(a) - 8*v(a). Factor m(s).
5*(s + 4)*(s + 21)
Let g be 68/12 + -5 - ((-22)/18 + -1). Let t(k) be the first derivative of -g*k**3 + 0*k + 2*k**2 - 5/6*k**4 + 10. Factor t(i).
-2*i*(i + 3)*(5*i - 2)/3
Let z(y) be the first derivative of -32/21*y**3 + 324/7*y + 27 - 1/14*y**4 - 45/7*y**2. Factor z(j).
-2*(j - 2)*(j + 9)**2/7
Determine x so that -5/3*x**2 - 500/3 - 145/3*x = 0.
-25, -4
Let p = 119 + -116. Suppose 2*r = -p*r + g + 8, -r + 8 = 3*g. Factor -12*b**r - 44*b + 38*b**2 - 22*b**2.
4*b*(b - 11)
Let -38*u**2 + 9063*u - 9038*u - 7*u**2 - 10*u**3 = 0. What is u?
-5, 0, 1/2
Suppose 0*x + 4*x - 8 = 0. Let h(k) = -k**3 + 21*k**2 - 82*k + 32. Let o be h(16). Determine y, given that -14 - x*y**2 + 8*y + 6 + 2*y + o*y**2 = 0.
1, 4
Let x(i) be the third derivative of 45*i**2 - 2*i + 1/64*i**4 + 0 - 1/480*i**5 + 1/12*i**3. Factor x(c).
-(c - 4)*(c + 1)/8
Solve -2/9*q**2 - 717602/9 + 2396/9*q = 0.
599
Suppose 3*t + 5*h - 9*h - 5 = 0, h + 14 = 5*t. Suppose -2*c = r - 0 - t, 3*r = -3. Solve -b**c - 5*b**2 + 14*b**2 - 4 - 20*b - 8 = 0 for b.
-1/2, 3
Let h(b) = 15*b**2 - 204*b - 54. Let d(f) = -14*f**2 + 203*f + 53. Suppose 5*r - 4 = -w - w, 3*r = -5*w - 9. Let g(o) = w*d(o) - 2*h(o). Factor g(u).
3*(u - 17)*(4*u + 1)
Let h = -5251250 + 2945952221/561. Let r = 23/51 + h. Factor -12/11*j**3 - r*j + 26/11*j**2 + 8/11 + 2/11*j**4.
2*(j - 2)**2*(j - 1)**2/11
Let r(l) be the first derivative of 89 + 11/2*l**4 - 80/9*l**3 + 0*l - 4/3*l**5 + 16/3*l**2 + 1/9*l**6. Suppose r(k) = 0. What is k?
0, 1, 4
Let p = -1157/154 - -1/77. Let v = 83/10 + p. Find a, given that 0*a + 0 + 0*a**2 + v*a**3 = 0.
0
Let v(d) be the first derivative of -3*d**4 + 1320*d**3 - 324711*d**2/2 - 328683*d - 952. Let v(r) = 0. Calculate r.
-1, 331/2
Solve -4*m + 7/6*m**4 - 19/3*m**3 + 55/6*m**2 + 0 = 0.
0, 1, 24/7
Let t be (23 - (-24 + 48))*(-1 - -1). Let p(f) be the first derivative of t*f - 3*f**3 - 3/2*f**2 - 3/2*f**4 + 1. Factor p(v).
-3*v*(v + 1)*(2*v + 1)
Let l be (-16)/(-12) + 118/42 + (-14 - -10). Solve 0 + 2/7*s - l*s**2 = 0.
0, 2
Suppose -12*b - 24*b + 828 = 0. Suppose 0 = 20*s - 17 - b. Suppose -8/9 - 10/9*w - 2/9*w**s = 0. Calculate w.
-4, -1
Let w(l) be the first derivative of -l**7/3780 + l**6/1620 + l**5/90 + 167*l**3/3 + 55. Let f(h) be the third derivative of w(h). Factor f(r).
-2*r*(r - 3)*(r + 2)/9
Suppose 4*n = 28 - 68. Let f be (-4)/6 + n/(-165)*11. Determine x, given that f + 4/3*x**2 - 4/3*x**3 + 8/3*x = 0.
-1, 0, 2
Let f(n) be the first derivative of 109 + 0*n + 2/55*n**5 