3*d - 2*i + 928, 1560 = 5*d - 5*i. Let b = -315 + d. Calculate the least common multiple of b and 16.
16
Let a = -17 - -37. Let o(c) = 1 + 14*c**2 - 2*c + 8*c**2 - 26*c + 3*c + 119 - c**3. Calculate the smallest common multiple of a and o(21).
180
Let v(z) = -4*z - 52. Let q be v(-11). Find the common denominator of 3/q + 2979/(-216) and 25/273.
546
Let c = -3945/13 - -1187276/3913. Find the common denominator of c and 41/1935.
13545
Let j = 269 - 379. Calculate the common denominator of ((-110)/10 + (-2090)/(-210))/(48/81) and 50/(-8)*(-4)/j.
616
Let a(f) = -f**2 + 5*f + 55. Let w be a(10). Suppose 2*p = 5*c + 61, 0*c = -w*p - 3*c + 75. What is the least common multiple of p and 4?
36
Let i = -39343/1188 - -905/27. What is the common denominator of i and -131/72?
792
Suppose 23*i - i - 5102 = -1098. Calculate the least common multiple of i and 988.
6916
Let p = -109 + -71. What is the common denominator of 75/62 and (-2)/5 - 2/(p/226)?
558
Let n = -1/1370 + -45893/2740. Find the common denominator of n and (-4089)/232 + 18/1 - 141/252.
168
Suppose 4*z - 18 = -34. Let w = 102999/10 - 10308. Calculate the common denominator of w and (-60)/14 + (-1 - z).
70
Suppose 14*t - 3428 = -3*w + 13*t, -3*w + 3*t = -3408. What is the lowest common multiple of 35 and w?
5705
Suppose -5*y + 461 = 1896. Let j = 523429/12 - 43901. Let i = y - j. Calculate the common denominator of i and 31/22.
132
Let v be 8/(9/(54/4)). What is the common denominator of (-2)/v*82/(-2) and -69/22?
66
Suppose 84*k - 12415 = 7577. What is the lowest common multiple of 51 and k?
714
Suppose 0 = -46*d + 47*d - 70. Let i(o) = -13*o - 7*o + 17*o - d. What is the lowest common multiple of 13 and i(-25)?
65
Let q(s) = -957*s**3 + 10*s**2 + 10*s - 1. Calculate the lowest common multiple of q(-1) and 9.
8604
Calculate the common denominator of -22 + (-15 - (-2246780)/60680) and -18/451.
33374
Let q(h) = -3*h**2 - 10*h + 2*h**2 + 3*h**2 + 0 + 4. Let i be q(6). Suppose -3*t + i = 7*d - 3*d, 0 = 5*d - 5. What is the least common multiple of t and 12?
12
Suppose -3*v = 3*n - 1281, 4*n + 860 = 2*v - 0*v. Let u = -1393/2 + 667. Find the common denominator of u and v/(-56) - -1 - -3.
14
Let z = -46573/402 - -314/67. Let t = z - -1040/9. Calculate the common denominator of t and (30/(-21))/((-54)/28).
54
Let w(t) = -14*t - 4. Let c be w(3). Let p be 16721/c + 2/4. What is the common denominator of (p/12 + 3)/(-15) and 53/14?
420
Suppose -4*b = 5*s - 68, b + 2*b + 5*s = 56. Suppose 0*x + 4*x = -20. What is the least common multiple of b and 0/(-2) - (4 - (-80)/x)?
12
Let o be (0 + 0 + -6)*(-3)/(-1408). Let z = 14951/704 - o. Find the common denominator of z and 1/122.
244
Let g = 13 - 9. Suppose -5*w + 2*r = -108, 2*r + 2*r = g. Calculate the smallest common multiple of 20/10 - (-10)/4*8/10 and w.
44
Let c(q) = -23*q + 96. Let b(j) = -47*j + 193. Let r(l) = -6*b(l) + 11*c(l). Calculate the lowest common multiple of 146 and r(4).
1022
Suppose 8*d = 9*d - 36. What is the lowest common multiple of d and 5/270*174 + 2/(-9)?
36
Let n(o) = 2*o**3 + 3*o**2 + 53*o - 597. Calculate the least common multiple of 51 and n(9).
1581
Let h(i) = i**2 + 6*i + 11. Let q be h(-4). Let t be q/5 - (-216121)/(-85). Let p = -15289/6 - t. What is the common denominator of p and 42/11?
66
Calculate the common denominator of -8 - (9213/(-1404) - (-30)/(-24)) and -107/130.
1170
Suppose 3*j = 1987 + 2519. Let z = j - 18001/12. Calculate the common denominator of z and 32/9.
36
Let w = -11443/132 - -1015/11. Suppose v - 28 = -0. What is the common denominator of v and w?
12
Let t = -77 + 73. Calculate the common denominator of 205/60 - (5 + 8/t) and 9/4.
12
What is the common denominator of (3411/2274)/(25/76 + -1) and 73/8?
136
Let h = 16702 + -14542. What is the least common multiple of h and 432?
2160
What is the common denominator of (-2)/472*1*((-181102)/(-207))/62 and -131/54?
6372
Let i = 169423/45 - 3766. Find the common denominator of i and -106/945.
945
Let s = -389 - -386. Let v = -9733/7 - -1393. Calculate the common denominator of v and s/(-2)*(-202)/24.
56
Suppose -146*z + 1540 = -136*z. Suppose -6*w + 386 = -z. What is the lowest common multiple of 36 and w?
180
Let d = -31/4448 - -255255/37901408. Let w = -604999/34084 - d. Find the common denominator of -93/44 and w.
44
Suppose 321*f - 6201 - 19450 = 6128. Calculate the least common multiple of f and 2097.
23067
Suppose -6 = 7*y - 5*y - v, -1 = -3*y + 4*v. What is the common denominator of -74/63 and (y - (-518)/105)*89?
315
Let w(t) = 11*t + 114. Let x = -233 - -223. Calculate the least common multiple of w(x) and 97.
388
Find the common denominator of 131880/173824 + 15/(-20) and -67/12.
9312
Let o = -5720 + 22819/4. Find the common denominator of -45/892 and o.
892
Suppose 2*u = -5*x - 11, 3*u + 1 = x + 10. Suppose -2*o - n = -0*o - 36, 5*o - u*n - 99 = 0. Let h = 43 - o. Calculate the least common multiple of h and 30.
120
Let l = -26372 + 11296. Let x = l - -361963/24. What is the common denominator of x and 45/44?
264
Let f = -2712190 + 15752399441/5808. Calculate the common denominator of f and 41/14.
40656
Suppose 3*m + 98 - 947 = 0. Let l = 162 - m. Find the common denominator of 2 - l*4/24 and 39/38.
114
What is the least common multiple of 60 and (0 - -588)*(-22)/(-22 - -11)?
5880
Let o = -51 - -51. Calculate the common denominator of 25/4 and (-2436)/(-280) - o/(1/1).
20
Let y = 2 + 8. Suppose 1056 - 488 + 764 = 18*u. Calculate the least common multiple of u and y.
370
Let m = 24207/56 - 432. Let g = 430585/339528 - 2/6063. Find the common denominator of m and g.
56
Let d be (-4)/(-18) + 4575/(-54). Suppose 4*z + 400 = 4*x, -35*z + 4*x = -34*z + 73. Let h = z - d. What is the common denominator of h and 49/46?
46
Let f(u) = u**2 + 49*u - 1034. What is the lowest common multiple of f(16) and 2036?
6108
What is the common denominator of 109/50 and -2 + (-73450)/(-18125) + 0 + -2?
1450
Suppose -2*m - 18 = 4. Let p = m + 18. What is the least common multiple of 9 and (-6)/p*(-7)/(-14)*-70?
90
Let r(c) = 41*c**2 + 5 - 22*c**2 - 19*c**2 - 3*c**2 - 24*c. What is the smallest common multiple of 5 and r(-8)?
5
Let o be (2 + 6 + -4)/((-4)/(-23)). Let c(j) = -3*j + 77. What is the smallest common multiple of c(o) and 24?
24
Let o = 19558 + -19542. What is the least common multiple of o and 5198?
41584
Calculate the least common multiple of -26 + (0 - -14) - -793 and 568.
6248
Let q(k) = -2*k - 12. Let f be q(-5). Let o be (-9724)/273*f/(-40). Let h = o + 7/5. Calculate the common denominator of 61/30 and h.
210
Let i = 14892 + -14857. Calculate the smallest common multiple of 329 and i.
1645
What is the smallest common multiple of 21 - (2 + (-8 - -2) + 1) and 40?
120
Let b(o) = -o**2 + 41*o - 24. Let x be b(25). Suppose 0 = 25*y + x - 1651. Calculate the least common multiple of y and 18.
306
Let x = -8152 - 40986. Let z = 29150 + x. Let m = -519769/26 - z. Find the common denominator of -75/14 and m.
182
Let d = 6523/1152 - -93/128. Find the common denominator of d and (-3113)/792 + (-2 + 7 - -1).
72
Suppose -n + b = -b + 7, -3*n - 3*b = 3. Let w be 1 - (2*n)/3. Suppose w*r = r + 20. Calculate the lowest common multiple of 7 and r.
70
Let o = 10 - 6. Suppose -4*p + 160 = 5*y, -3*p - 34 = -y - 135. Suppose 39*u - d = p*u + 20, 2*u = d + 10. What is the smallest common multiple of u and o?
20
Let j = 1082247074057/93940 - 80644342/7. Let z = j - -2/671. Let f = 1218/5 - 14021/60. Find the common denominator of f and z.
60
Let f(h) = 16*h**2 - 11*h - 16. Let y be f(-7). Find the common denominator of 25/2*(-273)/y and (66/(-4)*-1)/(40/(-16)).
130
Suppose 5*c - h - 39 - 12 = 0, -52 = -5*c + 2*h. Suppose 0 = -23*g - 9 + 147. Let r(z) = 3*z**2 - 7*z. What is the lowest common multiple of r(g) and c?
330
Calculate the common denominator of (-12 - -14) + 85/(-35) and 49/6 + (3 - 5).
42
Find the common denominator of 5/3409 and 1048/(-216)*-3 - (-1 + 10).
30681
Let l = 8723 - 8088. Calculate the smallest common multiple of l and 1143.
5715
Suppose 282 = 5*g - 3*p, -239 = -3*g - 4*p - 35. Suppose 83 = 4*j + 19. What is the smallest common multiple of g and j?
240
What is the common denominator of 15/(((-27300)/(-475))/7) and (-2)/(-7) - 309/224?
416
Suppose -g 