 18. Let h be 1*((-4 - 2) + 1). Let f(u) = -u**2 - 9*u + 17. Let q(l) = h*k(l) - 6*f(l). Factor q(c).
(c - 4)*(c + 3)
Let s be 166855/2210 - 1/(-1). What is d in -24 - 63*d + 147/2*d**3 - s*d**4 + 201/2*d**2 - 21/2*d**5 = 0?
-8, -1, -2/7, 1
Let x(k) = k**3 - 8*k**2 - 25*k + 6. Let h be x(10). Let l = h - -91. Factor -l*v + 4*v**4 - 20*v**2 + 36*v + 8*v**3 - 13*v.
4*v*(v - 2)*(v + 1)*(v + 3)
Let r = 1917 + -1248. Factor -10*f**2 + 15*f**4 + 689*f - 2*f**3 - 18*f**3 - 5 - r*f.
5*(f - 1)**2*(f + 1)*(3*f - 1)
Let k(a) be the third derivative of -a**5/15 - 2777*a**4/3 - 15423458*a**3/3 - a**2 - 11*a + 188. Factor k(b).
-4*(b + 2777)**2
Let n = -52 - -41. Let k = n + 31. Factor 4 + 3*s**3 + 9*s**3 + 44*s**2 + k*s - 12 + 4*s**3.
4*(s + 1)*(s + 2)*(4*s - 1)
Let z = 126669 - 126666. Factor -19/4*a + 0 - 1/4*a**z + 5*a**2.
-a*(a - 19)*(a - 1)/4
Let h be (-3 - 27/(-7))*32/24*(-1154)/(-4616). Factor -h*p**2 - 16/7*p - 30/7.
-2*(p + 3)*(p + 5)/7
Let s = 10513/3942 + -1/3942. Let i = 1/74 - -145/222. Determine k, given that -s + 2*k + i*k**2 = 0.
-4, 1
Let q(j) be the first derivative of 2*j**3/39 + 10*j**2/13 - 22*j/13 - 4370. Factor q(l).
2*(l - 1)*(l + 11)/13
Suppose -49*v**3 + 3403*v + 68*v**3 - 54*v**3 + 1130*v**2 + 2560 - 12683*v = 0. What is v?
2/7, 16
Let v(d) be the second derivative of d**4/9 - 40*d**3/9 - 46*d**2 + d + 511. Factor v(y).
4*(y - 23)*(y + 3)/3
Suppose -796*j + 237606 + 2/3*j**2 = 0. What is j?
597
Suppose -g + 4*f + 2 = 0, -3*g + 4*f + 6 = -0*f. Let u(j) be the first derivative of j**g + 11 - 2*j - 1/6*j**3. Suppose u(p) = 0. Calculate p.
2
Suppose 5*k + 7*b - 466 = 3*b, -b - 356 = -4*k. Let r = -73 + k. Factor -64*c - c**4 + 5*c**4 + 78*c**3 - 64 - r*c**3 - 45*c**3.
4*(c - 2)*(c + 2)**3
Factor -118/3*q**2 - 2/3*q**3 + 114 - 74*q.
-2*(q - 1)*(q + 3)*(q + 57)/3
Let y(m) be the first derivative of -m**5/20 + 63*m**4/16 - 31*m**3/6 - 1374. Factor y(p).
-p**2*(p - 62)*(p - 1)/4
Let k(z) be the first derivative of 8/9*z + 2/27*z**3 - 5 + 5/9*z**2. Let k(y) = 0. Calculate y.
-4, -1
Solve -13/5*l + 1/5*l**4 - 5*l**2 - 11/5*l**3 + 0 = 0.
-1, 0, 13
Let g be 184/18 + -6 - 2 - (-26)/(-117). Find n such that 16/7 + 44/7*n**g - 8*n - 10/7*n**3 = 0.
2/5, 2
Suppose 0 = -b + 3, -b - 13 + 10 = 2*n. Let l be n/(84/(-7)) - -257. Solve 63/4*m**2 - 3/4*m**3 - 441/4*m + l = 0 for m.
7
Suppose 5*a + 51*a + 18 = 298. Let b(h) be the second derivative of 3*h - 44/3*h**4 - 16*h**2 + 32*h**3 - 84/5*h**a - 49/15*h**6 + 0. Factor b(t).
-2*(t + 2)**2*(7*t - 2)**2
Let r(c) be the first derivative of -25/11*c - 29/22*c**4 - 13/55*c**5 + 59 - 106/33*c**3 - 85/22*c**2 - 1/66*c**6. Factor r(i).
-(i + 1)**3*(i + 5)**2/11
Let d(q) be the second derivative of -5*q**7/42 + 13*q**6/6 - 23*q**5/4 + 55*q**4/12 + q - 3090. Solve d(a) = 0.
0, 1, 11
Let l be ((-9)/36)/(11/(-18) - (-8)/16). Factor l - 1/4*q**4 + 3/2*q - 2*q**2 - 3/2*q**3.
-(q - 1)*(q + 1)*(q + 3)**2/4
Let x(a) = 35*a - 67. Let s be x(2). Factor 386*i**3 - 193*i**3 + 2*i**4 - 185*i**s.
2*i**3*(i + 4)
Let z be (-2)/5 - 92/(-5). What is m in z*m**2 - 7*m**2 - 14*m - 9*m**2 = 0?
0, 7
Let r(b) be the second derivative of -49/24*b**3 - 1/240*b**5 + 19/2*b**2 + 0 + 8*b + 7/48*b**4. Let z(d) be the first derivative of r(d). Factor z(y).
-(y - 7)**2/4
Let c = 48635/2 - 24298. Suppose 77/2*b + b**2 - c = 0. Calculate b.
-39, 1/2
Let r(h) be the second derivative of 36*h**3 + 80*h + 4*h**4 + 243/2*h**2 + 0. What is u in r(u) = 0?
-9/4
Let x(z) = z**2 + 9*z - 1. Let m be x(-13). Factor 6*n**3 - 7*n**3 - 4 - 6*n**2 + 42*n - m*n.
-(n + 1)**2*(n + 4)
Let y = -7379 - -7382. Let j(a) be the third derivative of 0*a - 14*a**2 - 1/780*a**6 + 1/156*a**4 + 2/13*a**y + 0 - 1/65*a**5. Let j(w) = 0. Calculate w.
-6, -1, 1
Suppose -38658*v = -38621*v - 74. Factor -8 - 1/2*p + 8*p**v + 1/2*p**3.
(p - 1)*(p + 1)*(p + 16)/2
Let v = 861251 - 4306057/5. Suppose -3/5*p**4 + 198/5*p + 204/5*p**2 - 201/5 - v*p**3 = 0. Calculate p.
-67, -1, 1
Suppose 2*u + 7 = 3*z, -2*u + 33 = 3*z + 2*z. Suppose -u*v + 15 = 5*n, -5*n + v = -3*v - 55. Solve 5*r**2 - 75 + 3 + 24*r - n*r**2 = 0.
6
Suppose -4*j = 4*v - 1516, -j = -v - 4*v - 379. Factor -3*d + 406*d**3 - 36*d**2 - j*d**3 + 21*d**4 - 9*d.
3*d*(d - 1)*(d + 2)*(7*d + 2)
Let v(o) be the first derivative of 2*o**3/27 - 157*o**2/9 + 620*o/9 - 3853. Factor v(g).
2*(g - 155)*(g - 2)/9
Let r(a) be the third derivative of 5*a**8/168 - 11*a**7/105 - 403*a**6/150 + 649*a**5/75 + 4669*a**4/60 + 529*a**3/3 + a**2 + 10*a + 7. Solve r(d) = 0.
-5, -1, 23/5
Factor -20*n**5 - 228*n**3 - 30*n**5 + 288*n**2 + 91*n**5 - 23*n**5 - 22*n**5 + 56*n**4.
-4*n**2*(n - 8)*(n - 3)**2
Suppose 0 - 3/5*p**2 + 501/5*p = 0. What is p?
0, 167
Suppose -158/3*o**2 + 5/3*o**4 + 69*o**3 - 168 - 452*o = 0. What is o?
-42, -2, -2/5, 3
Let r(v) = v**2 + 2*v - 80. Let q be r(8). Let s be (-10)/10*(-2 - (0 + q)). Find d such that 1/4*d**3 + 2*d + 1 + 5/4*d**s = 0.
-2, -1
Let q(p) be the first derivative of -p**5/120 - p**4/8 - 3*p**3/4 + 62*p**2 - 74. Let r(c) be the second derivative of q(c). Factor r(f).
-(f + 3)**2/2
Let f = -132263/36 - -3674. Let w(v) be the second derivative of 0*v**2 + f*v**4 - 13*v + 1/9*v**3 + 0. Suppose w(n) = 0. What is n?
-2, 0
Let n(d) = -d**2 - 13*d - 15. Let f = 52 - 63. Let i be n(f). Determine u so that -8*u**3 + i*u + 3*u**3 - 10 + 8*u = 0.
-2, 1
Let g(c) be the second derivative of c**5/60 + c**4/3 + 179*c**2/2 - 318*c. Let n(f) be the first derivative of g(f). Factor n(z).
z*(z + 8)
Let l be 10*((-4)/28*1)/((-2)/7). Let f(d) be the third derivative of 1/42*d**7 - 10/3*d**3 + 0*d - 5/3*d**4 - 7*d**2 - 1/4*d**l + 1/12*d**6 + 0. Factor f(b).
5*(b - 2)*(b + 1)**2*(b + 2)
Let l(f) be the third derivative of f**5/420 - 31*f**4/56 + 344*f**2. Factor l(b).
b*(b - 93)/7
Let a(q) be the second derivative of q**5/150 - 31*q**4/30 + 961*q**3/15 + 40*q**2 + 5*q + 6. Let w(d) be the first derivative of a(d). Solve w(v) = 0 for v.
31
Factor 2/5*k**2 + 168/5 + 38/5*k.
2*(k + 7)*(k + 12)/5
Suppose 0 = 21*b - 28 - 56. Solve -63*j**b + 6*j - 147*j**2 - 45 - 4*j + 39 - 165*j**3 - 53*j = 0 for j.
-1, -1/3, -2/7
Suppose -3*r - 352 = 4*z, 3*z + 439 = -2*z - 4*r. Let p = -63 - z. Factor -2*v**2 - p*v**3 + 0*v**2 + 29*v**3.
v**2*(v - 2)
Let d = -17008 - -17008. Let a(h) be the third derivative of 0 + 9/20*h**5 - 1/10*h**6 + 20*h**2 + 1/2*h**3 - 3/4*h**4 + d*h. Suppose a(m) = 0. What is m?
1/4, 1
Let g be 1 + 2 - (-2 + 18)/(-4) - 5. Let n(o) be the second derivative of o**3 - 1/5*o**5 + 1/2*o**4 + 32*o + 0 - g*o**2. What is i in n(i) = 0?
-1, 1/2, 2
Let x = 1177373/81198 - 1/40599. Factor x*q**2 - 1/2*q**3 + 98 - 112*q.
-(q - 14)**2*(q - 1)/2
Let m(i) be the second derivative of -i**6/6 + 3*i**5/4 + 10*i**4 + 70*i**3/3 + 2*i - 243. Factor m(l).
-5*l*(l - 7)*(l + 2)**2
Let n(z) = -52*z**4 - 267*z**3 + 825*z**2 - 803*z + 279. Let x(i) = -46*i**4 - 268*i**3 + 824*i**2 - 804*i + 278. Let b(u) = 8*n(u) - 9*x(u). Factor b(s).
-2*(s - 135)*(s - 1)**3
Let q(c) be the third derivative of c**8/168 + 2*c**7/105 - c**6/10 - 2*c**5/15 + 13*c**4/12 - 2*c**3 + 20*c**2 - 12*c + 2. Factor q(w).
2*(w - 1)**3*(w + 2)*(w + 3)
Let z(a) be the third derivative of -a**5/330 - 197*a**4/66 - 38809*a**3/33 + 1721*a**2. Factor z(i).
-2*(i + 197)**2/11
Let m(n) be the second derivative of 2*n + 0*n**3 + 1/100*n**5 + 1/20*n**4 - 1 + 0*n**2. Factor m(z).
z**2*(z + 3)/5
Solve -2640*v - 5600 + 552/7*v**2 - 4/7*v**3 = 0 for v.
-2, 70
Let z = 224 + -222. Determine w so that -32*w**2 + 27*w**z - 29*w + 4*w = 0.
-5, 0
Solve 39*r**2 - 4*r**4 - 36*r**3 + 53 - 60 - 10*r + 7 = 0 for r.
-10, 0, 1/2
Let d(u) be the third derivative of 1/40*u**5 - 37*u**2 + 0*u**4 + 0*u - 1/240*u**6 + 0 - 1/3*u**3. Find j such that d(j) = 0.
-1, 2
Factor 248/17 - 2/17*k**2 - 246/17*k.
-2*(k - 1)*(k + 124)/17
Let t(l) be the second derivative of -2/3*l**6 - 5/42*l**7 + 19/4*l**5 + 0*l**2 - 35/6*l**4 + 0*l**3 - 96*l + 0. Suppose t(f) = 0. Calculate f.
-7, 0, 1, 2
Let j(q) = -q**3 + 9*q**2 + 4*q - 42. Let y be j(8). Suppose 43*r**2 - 18*r**3 + 64 + r**4 - 528*r + 384*r + y*r**2 = 0. What is r?
1, 8
Let h(m) be the first derivative of m**5/12 - 5*m**4/4 + 11*m**2/2 - 40. Let s(f) be the second derivative of h(f). Factor s(n).
5*n*(n - 6)
Factor -472*k - 159*k**2 - 257*k**2 + 3481 + 595*k**2 -