j) = j**2 - j - 1. Suppose 92 = 5*w + 2*q + 16, -q + 45 = 3*w. Let a(o) = 2*o**2 - w*o - 5 + 12*o + 1. Let u(x) = a(x) - 4*m(x). Factor u(c).
-2*c*(c - 1)
Let n be ((-6)/10)/(3/(-15)). Let z(w) = w**3 - 4*w**2 + 7*w - 5. Let k be z(4). Determine h so that h**3 - h**5 + k*h**4 + n*h**2 - 26*h**4 - h**5 + h = 0.
-1, -1/2, 0, 1
Let a be ((-99)/(-24) - 3)/((-18)/(-12)). Let c = 1382 + -2763/2. Factor a*l**2 + c*l**4 + 0 + 1/8*l + 9/8*l**3.
l*(l + 1)**2*(4*l + 1)/8
Let v(n) be the first derivative of n**6/30 + 8*n**5/15 + 31*n**2/2 + 71. Let f(l) be the second derivative of v(l). Factor f(j).
4*j**2*(j + 8)
Let y be (39/78)/((-1678)/8). Let r = y - -1712/14263. Factor -8/17 + r*w**2 + 2/17*w**3 - 8/17*w.
2*(w - 2)*(w + 1)*(w + 2)/17
Let b(p) be the first derivative of -790614/7*p - 22/7*p**4 - 2/105*p**5 - 47916/7*p**2 - 1452/7*p**3 + 286. Factor b(v).
-2*(v + 33)**4/21
Let h(k) = -k**2 + k + 6. Let w be h(3). Suppose w = -2*x + 6*x - 8. Factor 4*b**3 + 15*b**4 + 5*b**3 - 14*b**2 + 12*b - 22*b**x.
3*b*(b - 1)*(b + 2)*(5*b - 2)
Let u(x) be the third derivative of -1/60*x**5 + 2/3*x**3 + 2*x**2 + 0 + 1/12*x**4 - 1/240*x**6 + 38*x. Factor u(n).
-(n - 2)*(n + 2)**2/2
Let k be 0 - (-3)/((-6)/(-22)). Suppose 6*x = 7 + k. Factor 2*m**4 + 1 + 2*m**2 + 0 - 5 + 6*m**x - 6*m.
2*(m - 1)*(m + 1)**2*(m + 2)
Let h(c) be the third derivative of -c**8/112 - 32*c**7/21 + 11*c**6/12 + 16*c**5/3 - 107*c**4/24 - 2261*c**2. Let h(k) = 0. What is k?
-107, -1, 0, 1/3, 1
Let t(a) be the first derivative of -5/2*a**2 - 1/8*a**4 + 0*a + 250 - 7/6*a**3. Solve t(g) = 0.
-5, -2, 0
What is b in 694426632/7 + 3/7*b**3 + 3392964/7*b + 5526/7*b**2 = 0?
-614
Let p(r) = 2*r**2 - 26*r - 58. Let z(g) = 3*g**2 - 13*g - 23. Let f be z(-2). Let h be p(f). Solve -12/5*q - 36/5*q**h + 9*q**3 + 30*q**4 + 0 = 0 for q.
-2/5, 0, 1/2
Let j(m) = -17*m**2 - 66*m + 285. Let l(o) = -21*o**2 - 65*o + 283. Let b(y) = -5*j(y) + 4*l(y). Let s be b(4). Factor 2*r + 0 + 2/3*r**s - 8/3*r**2.
2*r*(r - 3)*(r - 1)/3
Let 286/9*f**2 - 2/9*f**5 - 304/9*f + 26/9*f**4 - 14*f**3 + 40/3 = 0. Calculate f.
1, 2, 3, 5
Let m(k) = -7*k - 1. Let i(s) = 2*s**2 + 138*s + 6. Let q(u) = -i(u) - 6*m(u). Suppose q(j) = 0. Calculate j.
-48, 0
Let p be ((-4860)/(-3240))/(-3 - 26/(-4)). Factor -3*m + 6/7*m**4 - 6/7 + p*m**5 - 24/7*m**2 - 6/7*m**3.
3*(m - 2)*(m + 1)**4/7
Determine j so that 1/3*j**2 - 242/3 + 11/3*j = 0.
-22, 11
Factor -4817406/7*k**3 + 1663072158/7*k**2 + 6207/7*k**4 - 215988489519/7*k + 214330228563/7 - 3/7*k**5.
-3*(k - 517)**4*(k - 1)/7
Let f(s) = -68*s**2 - 836*s - 3216. Let u(x) = -14*x**2 - 167*x - 644. Let r(m) = 5*f(m) - 24*u(m). Factor r(q).
-4*(q + 4)*(q + 39)
Suppose 3*r = 78 - 48. Let b(z) = -3*z**2 - 73*z + 76. Let h(j) = j**2 - j. Let c(q) = r*h(q) + 2*b(q). Factor c(k).
4*(k - 38)*(k - 1)
Factor -136/5 - 1/5*z**2 - 5*z.
-(z + 8)*(z + 17)/5
Let g(l) be the third derivative of -l**8/35280 + l**7/2940 + l**6/126 + 53*l**5/30 - 9*l**2 + 1. Let d(y) be the third derivative of g(y). Factor d(n).
-4*(n - 5)*(n + 2)/7
Solve -250 - 2/5*f**2 + 20*f = 0 for f.
25
Determine x so that -1960*x - 4*x**2 + 403625 - 1443179 - 1404792 - 3984*x + 236150 = 0.
-743
Let b = -26 + 29. Suppose -b = -4*k + 5. Factor -4*v**3 + 6*v**k - 4 + 4*v - 4 + 2*v**2.
-4*(v - 2)*(v - 1)*(v + 1)
Let g be 1912/20*(-9)/(81/30). Let q = g + 320. Suppose 4/3 - 2/3*t**3 - q*t**2 + 2/3*t = 0. Calculate t.
-2, -1, 1
Let m = -103031/10 - -10294. Let u = m + 58/5. Factor 0 + u*y**2 - 5/4*y**3 - 5/4*y.
-5*y*(y - 1)**2/4
Find v, given that 81/5*v + 9/5*v**5 - 36*v**2 - 42*v**3 + 12*v**4 + 0 = 0.
-9, -1, 0, 1/3, 3
Suppose -35*z = -501 + 81. Suppose z*y - 13*y = 0. Determine t, given that y*t**2 + 1/4 - 3/8*t + 1/8*t**3 = 0.
-2, 1
Let j(v) = 7*v**3 + 7*v**2 + 18*v + 3. Let f(a) = 4*a**3 + 3*a**2 + 9*a + 1. Let i(l) = 10*f(l) - 6*j(l). Factor i(w).
-2*(w + 1)**2*(w + 4)
Let d be 1166 + (-8)/(-32)*36. Let j = -4691/4 + d. What is f in 3/2 + 29/4*f + j*f**2 = 0?
-3, -2/9
Let q = 2/362583 - -23930444/6163911. Find h, given that -2/17*h**3 + 32/17 - q*h + 36/17*h**2 = 0.
1, 16
Let c = 28/1039 + 1826/9351. Solve -512/9*t**4 + 512/9*t**5 - 32/9*t**2 + 0 + c*t + 64/3*t**3 = 0.
0, 1/4
Let q(b) = b**3 + 55*b**2 + 123*b + 45. Let c(p) = -p**3 - 37*p**2 - 81*p - 30. Let t(d) = 8*c(d) + 5*q(d). Suppose t(v) = 0. What is v?
-5, -1
Find z, given that 1117*z + 111*z**3 + 21*z**4 - 359*z - 399*z - 395*z - 96*z**2 = 0.
-6, -2/7, 0, 1
Let w(f) = -52*f**2 - 81*f + 70. Let b(u) = 36*u**2 + 56*u - 47. Let j(g) = -7*b(g) - 5*w(g). Solve j(l) = 0 for l.
-21/8, 1
Let o(d) be the second derivative of 5*d**4/12 - 665*d**3/6 + 8285*d. Factor o(u).
5*u*(u - 133)
Let x be (1 - -8) + 117/(-91)*(-140)/(-30). Factor -12*f + 0 + 15*f**2 - 3/2*f**4 - 3/2*f**x.
-3*f*(f - 2)*(f - 1)*(f + 4)/2
Let l(t) be the first derivative of -484*t - 75/2*t**4 - 550*t**2 - 9/5*t**5 - 117 - 757/3*t**3. Factor l(a).
-(a + 1)**2*(3*a + 22)**2
Let t(k) be the third derivative of -k**6/150 + 7*k**5/25 - 71*k**4/30 + 34*k**3/5 + 3833*k**2. Factor t(z).
-4*(z - 17)*(z - 3)*(z - 1)/5
Suppose 2*f - 5 = -1. Suppose -4*g = -f*o - 24, -g + 6 = 2*o - 7*o. Factor 3 - 2*h + h**2 - 9 + g.
h*(h - 2)
Factor -2 - 237*k**3 - 31*k**2 + k**5 - 309*k + 367*k + 11*k**4 + 222*k**3 + 9 - 31.
(k - 1)**3*(k + 2)*(k + 12)
Let n(v) be the third derivative of v**6/180 - v**5/2 - 4*v**4/3 + 92*v**3/9 + 90*v**2 + 30. Factor n(z).
2*(z - 46)*(z - 1)*(z + 2)/3
Let h(l) be the third derivative of -l**5/60 - 7*l**4/12 - l**3 + 99*l**2. Let s(n) = 2*n**2 + 13*n + 7. Let o(c) = 7*h(c) + 6*s(c). Factor o(f).
5*f*(f - 4)
Let v(i) be the second derivative of -i**4/6 - 89*i**3/3 + 372*i**2 + 2671*i. Factor v(b).
-2*(b - 4)*(b + 93)
Let -4/7*t**2 - 4864/7*t - 1478656/7 = 0. Calculate t.
-608
Suppose 128*n + 9230 = 16615 + 13351. Factor 435/4*u**3 - n - 675/2*u**2 + 405*u - 15*u**4 + 3/4*u**5.
3*(u - 6)**3*(u - 1)**2/4
Let k(m) be the first derivative of -m**4 + 532*m**3/3 + 1650*m**2 + 5004*m - 382. Factor k(x).
-4*(x - 139)*(x + 3)**2
Let f(r) be the first derivative of 5*r**3/3 + 165*r**2/2 - 540*r + 355. Factor f(j).
5*(j - 3)*(j + 36)
Let r be ((-15)/2)/(6/(-20)). Let t = 27 - r. Factor 4*p**t + 5 - 5 + 2*p**3.
2*p**2*(p + 2)
Let o(f) = 29*f**2 + 6 + 4 - 28*f**2 - 7*f. Let w be o(6). What is z in -78*z**4 - 2*z + 72*z**2 - 44*z**4 - 25*z**w - 10*z - 63*z**3 = 0?
-1, 0, 2/7
Suppose -c - 214 = 2*o - 37, -5*c + 83 = -o. Let r = o + 124. Find y, given that -4*y**5 + 2*y + 148*y**2 + r*y**3 - 192*y**2 + 0*y**4 - 4*y**4 + 14*y = 0.
-4, 0, 1
Let c(m) be the second derivative of m**6/240 - 7*m**4/48 - m**3/2 + 173*m**2/2 + 45*m - 2. Let i(g) be the first derivative of c(g). Factor i(o).
(o - 3)*(o + 1)*(o + 2)/2
Let k be ((-304)/19)/(-5 - -3). Let x be 1 + ((-40)/45)/k. Find d, given that 4/9*d**4 - 4/9*d**2 + 0 - 8/9*d**3 + x*d = 0.
-1, 0, 1, 2
Let x(y) be the second derivative of -11*y**5/20 + 15*y**4/2 + 256*y**3/3 - 48*y**2 + 45*y - 5. Factor x(k).
-(k - 12)*(k + 4)*(11*k - 2)
Let f(x) be the first derivative of 4*x**3 + 0*x - 12*x**2 + 71 + 3/2*x**4 - 3/5*x**5. Solve f(b) = 0.
-2, 0, 2
Let s be -3*(-4408)/(-8265)*5/(-4). Factor j**s - 4 - 1/2*j**3 + 2*j.
-(j - 2)**2*(j + 2)/2
What is g in 85*g**2 + 125 - 205 + 8*g**3 + 37*g - 14*g**3 - 24*g**3 - 7*g - 5*g**4 = 0?
-8, -1, 1, 2
Let w(j) be the third derivative of j**6/80 - 61*j**5/10 - 491*j**4/16 - 123*j**3/2 - 2034*j**2. Factor w(s).
3*(s - 246)*(s + 1)**2/2
Let u(l) be the second derivative of 3*l**8/2800 - l**7/1400 - l**6/300 - 17*l**3/3 + l**2/2 + 61*l. Let w(a) be the second derivative of u(a). Factor w(h).
3*h**2*(h - 1)*(3*h + 2)/5
Suppose -4*f + 4*a - 40 = 0, 5*a = 96*f - 97*f + 62. Factor -96/7 - 16/7*j + 10/7*j**f + 2/7*j**3.
2*(j - 3)*(j + 4)**2/7
Let q = 168005/2 + -83992. Determine b so that -15/4*b**4 + 0*b - 111/4*b**3 - q*b**2 + 0 = 0.
-7, -2/5, 0
Let v = 38791 - 426699/11. Factor -2/11*m - 6/11*m**3 - v*m**4 + 0 - 6/11*m**2.
-2*m*(m + 1)**3/11
Suppose 21*x = x - 493000. Let n = x - -271400/11. What is s in -30/11*s**2 + 150/11*s - n + 2/11*s**3 = 0?
5
Let y(h) = -h**3 + 10*h**2 - 2*h + 24. Suppose s - 5*s + 40 = 0. Let i be y(s). Factor g**4 - 2*g**4 - 3*g**2 - g + i*g**2 + g**3.
-g*(g - 1)**2*(g + 1)
Let i(p) = 2*p**2 - 84*p + 158. Let o be i(40). Let s be o + (-6)/6 +