on denominator of 44/23 and (600/(-210))/20*(-455)/138?
138
Suppose 3*t + 30 = -5*l, 1 = 2*l + 7. Let v = -1 - t. Suppose 0 = -z - 2*s + 4, z + 3*z - v*s - 40 = 0. Calculate the least common multiple of z and 8.
8
Suppose -3*j = s + 6 + 2, -4*j = -s + 6. Find the common denominator of 59/4 and (-934)/(-504) - 7/(49/j).
36
Let c = -698567/11325 - -9280/151. What is the common denominator of c and ((-8)/230)/((-3)/5)?
1725
Let q(f) = f**3 + 3*f**2 - 1. Let z be (4 - (-7)/(-7))*4/6. Calculate the least common multiple of 11 and q(z).
209
Let s be 2*(-4 + (-10)/(-2)) + -12. Suppose -4*n - x + 6 = -19, 5*n - 5*x = 25. What is the smallest common multiple of (-3)/6*s + 4 and n?
18
Let u be 12/8*(-224)/3. Let b = 157 + -458/3. Find the common denominator of u/84*14/10 and b.
15
Let j be (30/(-4))/((-19)/(-2546)). What is the common denominator of 5/j*753 - -4 and -39/8?
536
Let c = 32683/15 - 2182. Let d(l) = -2*l**2 + 24*l + 24. Let u be d(13). What is the common denominator of c and (u + 7/4)/((-594)/5368)?
135
Let i be (-130)/39*1/4*6. Calculate the smallest common multiple of (i/3)/(-5*(-12)/(-1080)) and 3.
30
Let b(g) = g**3 - 11*g**2 - 12*g - 1. Let j be b(12). Let x be -1*(j - (-5 + 90)). Let z = 108 - x. What is the lowest common multiple of z and 2?
22
Let i = -22/2991 + 26086/2100679. Find the common denominator of i and 34/2709.
18963
Let g be 0/(35/5) + (-120373)/28. Let v = g + 4302. Find the common denominator of 9/8 and v.
56
Let j = 2336945/132 - 17703. What is the common denominator of j and 89/330?
660
Let r = 37265211/418 + -89151. Calculate the common denominator of r and 41/114.
1254
Suppose -19*v + 0 = -38. What is the common denominator of 92/(-8)*(v + 17/(-9)) and -57/278?
2502
Let q = 44 - 42. Suppose 148 = 4*l - l - 2*r, 4*l = -q*r + 216. Let v(g) = -g**2 - 8*g + 33. What is the smallest common multiple of v(-9) and l?
312
Let n = -176 - 67. Let j = n + 285. What is the lowest common multiple of j and 30?
210
Let u = -519932978/567 - -916989. Let v = u + -4/81. Calculate the common denominator of (102/(-26))/(-1 - 0) and v.
91
Suppose -4*p + 2*d = -2*d - 4, -2 = 4*p + 2*d. Let w(b) = -b**3 + 5*b**2 + 3*b. What is the smallest common multiple of w(5) and 8 + -2 + 2 + p?
120
Suppose -139 = -l + 1. Calculate the smallest common multiple of l and (-13 + 20 - 13) + (0 - -41).
140
Find the common denominator of 131/528 and ((-7672)/1344)/(1 - 11).
2640
Suppose 205 + 191 = 8*y + 14*y. What is the smallest common multiple of 1188 and y?
1188
Let l be ((-9)/(-6))/(1/4). Let f(z) = z**3 - 7*z**2 + 6*z + 3. What is the lowest common multiple of f(l) and 6 - (3/(-1) - -8)?
3
Suppose 4*m + 3*r = 7, 2*m + 0*r + 4*r = -4. What is the lowest common multiple of m + -8 - 384/(-16) and 200?
200
Let s be (-2 - 3) + 5 - (-170)/(-2). Let f = 50461/18 - 2809. What is the common denominator of -5 - (s/12 + (-2 - -6)) and f?
36
Let z = 1373 + -1367. Let g(m) be the second derivative of m**5/20 - m**3/3 - m**2/2 + m. What is the smallest common multiple of z and g(2)?
6
Let u = 705176/165 + -44569/11. Let b = 725723/3270 - u. Find the common denominator of 43/8 and b.
872
Let z(w) = -2*w**3 + 24*w**2 - 14*w - 26. Suppose -5*b = -b - 36. Let h = b - 3. Calculate the lowest common multiple of z(11) and h.
186
Let d = -2721 - -13626/5. Find the common denominator of 28/(-72)*(-22)/(-5) and d.
45
Suppose -115 = -2*l - 5*j + 2*j, j = -5*l + 281. Let n = l + -54. Let c(p) = p**2 + 8*p - 4. Calculate the smallest common multiple of n and c(-9).
10
Let q = 46 - 62. Let v = 26 + q. What is the lowest common multiple of ((-7)/(-5))/(2/v) and 53?
371
Suppose 4*j + 3*n - 9920 + 134834 = 0, -j = -3*n + 31221. Let w = j - -1311437/42. Find the common denominator of w and -37/54.
378
Let w be (-2)/(-4) + (-17)/(-2). Let f = w + -5. Suppose 50*j = -43*j + 105*j - 192. What is the smallest common multiple of f and j?
16
Suppose -2891 + 91 = -10*b. Calculate the smallest common multiple of 56 and b.
280
Let q be ((-302)/(-6))/((-2)/138). Let h be (31190/(-7))/((-1920)/(-140) + -15). Let c = q + h. Calculate the common denominator of c and 11/8.
72
Suppose -4*m + c - 224 = -8*m, 4*m - 232 = c. Calculate the common denominator of -7 - (m/20)/(-1) and 81/10.
20
Suppose -4 = -n + 6. Let y be ((-45)/(-75) + 1898/(-30))*6. Let s = 390 + y. What is the lowest common multiple of n and s?
70
Let s(p) = p**3 + 10*p**2 - 2*p - 11. Let u be s(-10). Find the common denominator of -21/374 and u/(-21) - ((-307)/112 - -5).
2992
Let l = 193 - 10853/56. Let u(q) = -q**2. Suppose -j + 11 = 3*v + 4, 2*j - 2 = -2*v. Calculate the common denominator of u(v) and l.
56
Let w = 36248/28605 - 1/1907. Calculate the common denominator of w and ((-110)/(-35))/(3 + -2).
105
Let t(p) = -3827*p**2 + 2*p. Suppose 0*z = 16*z - 16. Let x be t(z). What is the common denominator of x/1400 - (-2)/(-14) and 38?
8
Let x(h) be the first derivative of 2*h**2 + 192*h + 10. Calculate the least common multiple of 23 and x(-42).
552
Suppose 5*c = w + 90, 3*w + 46 + 26 = 4*c. Calculate the common denominator of 1 + (-124)/20 + c/(-45) and -49/90.
90
Let k be 11/(-5)*15/(4 + -7). Suppose -k = 3*f - 56. What is the lowest common multiple of f and 15?
15
Let i(r) be the second derivative of -7*r - 1/20*r**5 - 17/2*r**2 - 5/3*r**4 - 1/6*r**3 + 0. Calculate the least common multiple of i(-20) and 6.
6
What is the least common multiple of 46 and (726/(-55) - -12)*(0 - 345/2)?
414
Find the common denominator of 315882/(-55620) + 7 + (-8)/6 and -7/824.
4120
Let p = 105 - 90. Suppose -51 = -2*w - p. Suppose -3*a + 18 + w = 0. Calculate the smallest common multiple of 2 and a.
12
Let j = 108 - 103. Suppose 3*w = -j*m - 117 - 45, 4*m + 5*w + 127 = 0. What is the least common multiple of 44 and ((-11)/m)/((-2)/(-48))?
88
Calculate the common denominator of 77/26 and (6/(-3))/((-2)/4) + 1950300/(-489240).
35334
Calculate the common denominator of (-1 + (-16)/(-1))*(-21)/(-336) and 1 - 3/450*221.
1200
Suppose 17076 = 2*l + 2*q, 15432 = -10*l + q + 100768. What is the least common multiple of l and 6?
25602
Suppose -13*o + 1234 = -1236. What is the smallest common multiple of o and 5871?
58710
Let f(m) = m**3 - 6*m**2 + 9*m. Let q be f(4). Suppose 26 + 15 = q*g - 5*o, 0 = g + 2*o - 20. What is the smallest common multiple of g and 46?
322
Suppose -7*p + 10*p = -5*b + 1172, 2*b = p + 482. What is the least common multiple of 119 and b?
238
Let u(g) = 2*g - 10. Let w be u(-2). Let j(y) = 2*y + 4. Let a be j(w). Let h = a - -34. Calculate the lowest common multiple of 5 and h.
10
Let r(d) = 16*d**2 + 4*d + 4. Let p be r(-2). Suppose 2*i - 5*v - 33 = i, 3*i - 2*v - p = 0. Calculate the smallest common multiple of (1 - 6)*i/(-10) and 8.
72
Let x = -340 - -691. Suppose -78 = -x*t + 338*t. Let f = -10 - -19. Calculate the smallest common multiple of t and f.
18
Let p(x) be the third derivative of x**4/6 - x**3/6 - 29*x**2. Let j be p(-2). Calculate the lowest common multiple of 42 and 6/j + (-8)/(-3) - 0.
42
Let g(f) = 33*f + 135. Let y be g(-4). Find the common denominator of 2/((-30)/625)*y/12 and 7/(-9) + 0 + 0.
36
Let y = -35787/22 + 1625. Calculate the common denominator of y and (-67)/16 - (10 - 12).
176
Let r be 90/(-63)*(-13 + -1). What is the lowest common multiple of 0 - -30 - 60/r and 24?
216
Let k(v) = 21*v**2 - 154*v - 27. What is the least common multiple of 120 and k(9)?
1440
Let o be (-1)/4 + (-3133)/(-884). Let g = o + -1515/238. Calculate the common denominator of 6/21 + (-838)/(-252) and g.
126
Let w = -299940 + 545590873/1819. Let n = w + 197907/50932. Calculate the common denominator of -59/10 and n.
140
Let k = 485558 + -365625247/753. What is the common denominator of k and 19/21?
5271
Let m(f) = -f**3 + 4*f**2 + 7*f + 28. Let q be m(-11). Let g = q + -8858/5. Calculate the common denominator of -39/10 and g.
10
Let f be ((-7)/(-231))/(162/(-408)). Let h = f + 7/33. Calculate the common denominator of h and 56/57.
1539
Let r = 11441/61824 + -5/30912. Find the common denominator of 47/48 and r.
384
Suppose -5*u + 3*j + 8 = -11, 2*u - 19 = 5*j. Calculate the common denominator of u/((28/(-72))/((-6)/(-9))) and -43/20.
140
Let k = -6638/13 + 696704/1365. What is the common denominator of -29/111 and k?
3885
Let