1. Let j = f - -4952. What is the common denominator of -67/4 and j?
36
Let l = 7511253247/3690 - 2035570. Find the common denominator of 71/90 and l.
3690
Suppose -570*t + 577*t - 1568 = 0. What is the lowest common multiple of t and 224?
224
Find the common denominator of (-268)/(-36) + -4 + (-12 - -6) and -157/66.
198
Find the common denominator of (1/(-70))/(-10 + 90758/9085) and ((-4)/(-3))/((-1)/((-126)/(-15))).
280
Suppose 47*k + 41*k - 484 = 66*k. What is the least common multiple of k and 7620?
83820
Let g = -207628333/1842 - -112719. Find the common denominator of g and 51/3070.
9210
Let d(b) = -b - 13. Let p be d(-12). Let h be 4*(3 + 2/p). Suppose -l - 5*c - h = -15, 34 = 5*l + 4*c. What is the lowest common multiple of l and 48?
48
Let h = -17393/3220 + 1/644. Let j = 51/10 + h. Let n = -12865/1749 + 13/583. What is the common denominator of j and n?
30
Let g be 5/(3 - 4) + -3411. Let n = 396353/116 + g. Find the common denominator of n and 29/22.
1276
Suppose 2*d + 3*d - 56 = 4*t, t - 5*d + 14 = 0. Let h be ((-29420)/(-4228))/1 - 5/10. Let o = 9/302 - h. Calculate the common denominator of o and t.
7
Let x = -3/13802 - -669409/55208. Calculate the common denominator of -3*52/(-222)*2 and x.
296
Let l = 32 - 16. Let f(q) = -27*q + 2 + 5*q + 11*q + 6*q + 9*q. What is the smallest common multiple of l and f(12)?
400
Suppose 2*i - 3*f - 25 = 0, -i - 5*f = 2*i + 10. Calculate the smallest common multiple of 49/(-14)*(666/21)/(-3) and i.
185
Find the common denominator of (2 - 123/54)/((-260)/17628) and -59/276.
276
Let z = -9501/3212 + 274/73. Find the common denominator of 41/253 and z.
1012
Let j be (-1 - -11) + 9 + -15. What is the least common multiple of 12 and -4 + 10 - (4 - j)?
12
Calculate the common denominator of 11/519 and (3993/726)/(2/3).
2076
Let w = -59/4 + 317/12. Let h = -3660 + 32887/9. Find the common denominator of w and h.
9
Suppose -6*q + 2*q - l = -24, 5*q + 5*l - 30 = 0. Suppose 0 = 3*g + g - 76. What is the lowest common multiple of q and g?
114
Suppose -11 = -5*l + 10*l + 3*a, 0 = 4*l + 5*a + 1. Find the common denominator of 157/450 and (-126)/l - (-36 + 44).
450
Suppose 4*d = 78399 + 6633. Let z = 637651/30 - d. Find the common denominator of -62/27 and z.
270
Let y be -7 + ((-1)/((-4)/4))/(-1). Let z(c) = -c + 1. Calculate the least common multiple of z(-3) and 4/((-7)/(-14) - (-2)/y).
16
What is the common denominator of 19520/(-1281) + 1*18 and -82/45?
315
Find the common denominator of 21/946 and ((-1080)/(-430))/((-28)/2).
6622
Let z(a) be the first derivative of -a**2/2 + 97*a - 14. Suppose -3 = 5*r - 2*k - 113, 3*k = 4*r - 95. What is the lowest common multiple of z(15) and r?
820
Find the common denominator of -71 - -65 - (-1)/(-48)*-229 and 58/1371.
21936
Let k(m) be the third derivative of 5*m**4/24 - 13*m**3/6 + 15*m**2. Suppose 23 + 5 = 4*r. What is the lowest common multiple of k(r) and 10?
110
Let q be (-7038)/(-17) - 7/((-28)/(-16)). Let z = 2873/7 - q. Find the common denominator of 114/(-4) + (2 - 4) and z.
14
Suppose k = 5*c + 149 + 66, 18 = 2*c. What is the smallest common multiple of k and 78?
780
Let l = -8519/1495 + -1/598. What is the common denominator of l and ((-15)/(-70))/(96/160)?
70
Suppose 197 = 3*b - 55. Let x = b + -37. Suppose -15 = 8*r - 39. What is the smallest common multiple of r and x?
141
Let j = 1816549713085/27 - 67329176870. Let o = -49552172 - j. Let i = o - 5693. Find the common denominator of i and 127/12.
108
Let n = 50 + -39. What is the least common multiple of 5/(60/(-1392))*2/(-4) - 5 and n?
583
Suppose -4*g + c + 3 = 0, 5*c - 19 = 2*g + g. Suppose -g*t + 6*t = 8. Calculate the lowest common multiple of 7 and t.
14
Let g = 77077/8860 - -1/1772. Let i(p) = -5*p + 20. Let z be i(6). Calculate the common denominator of (-7908)/(-1680) + 6/z and g.
140
Let p = -9 - -35. Suppose -19*v + 14*v + 3*k = 96, 5*v + 86 = -2*k. Let z = v + p. Calculate the lowest common multiple of z and 8.
8
Suppose 4*i = -2*m + 412 + 3858, -5*i + 5375 = -5*m. Find the common denominator of (10/550)/(8/i) and 0 + 166/(-16) + 0.
88
Let c = -9256 - 10877. Let y = c - -362509/18. Let i = -5844 - -81861/14. Calculate the common denominator of y and i.
126
What is the least common multiple of 369 and 98/10 + (-64)/80?
369
Let i(q) = -11*q + 249. What is the smallest common multiple of i(22) and -10*(-2)/5*12?
336
What is the common denominator of 157/690 and (296/(-414) + (-84)/(-112))/(4/(-12))?
1380
What is the least common multiple of 3365 and -1 + (-10)/(-16) + (345543/264)/37?
23555
Suppose 2703*a - 2891*a = -3384. Let w be -2*1*(-2 + 3). Calculate the least common multiple of (-14)/(-5)*(-20)/w and a.
252
Let a = 64 - 36. Suppose 4*c = -3*f + 81, -5*f = c + 232 - 265. What is the smallest common multiple of c and a?
252
Suppose 3 = 7*w - 18. Suppose w*y - 43 + 31 = 0. Calculate the common denominator of 133/12 and 2 - (-2)/y*(-657)/(-81).
36
Suppose 0 = -347*p + 1467 + 2003. What is the smallest common multiple of p and 6122?
30610
Suppose 10*r - 12*r = p - 32, -4*r - 3*p = -60. Suppose -22*k + 23*k = -4*n + r, 27 = 2*k + 5*n. What is the smallest common multiple of 10 and k?
30
Find the common denominator of 3*(5 + 7735/(-1806))*(-36)/(-90) and 12/(-7)*1/2.
301
What is the common denominator of -59/12 and (-23)/(184/32) - (-4058)/1044*1?
1044
Let i = -999270/143 + 6988. Find the common denominator of 38/715 and i.
715
Suppose 747 = 5*d - 498. Calculate the smallest common multiple of 96 and d.
7968
Let i = 5848 + -5818. What is the least common multiple of i and 2120?
6360
Suppose w - 228 = -2*b, 5*w = 2*w + b + 656. What is the common denominator of 22/29 and (-182)/(-16) - (-165)/w?
232
Suppose -221*d - 400 = -231*d. Suppose v - d = -2*p + 33, -2*v - 106 = -3*p. Let t = 5 + 11. Calculate the lowest common multiple of p and t.
144
Let x be (-17)/7*2/42. Let c = -71872045 + 105651889957/1470. Let d = x - c. Find the common denominator of 46/3 and d.
30
Let b(n) = -130*n**2 + 15*n - 35. Let o be b(4). Calculate the common denominator of 53/8 and (18/(-945))/(36/o).
504
Suppose -3*v = -6*w - 1704, 0 = -4*v + 15*w - 16*w + 2281. Calculate the smallest common multiple of v and 627.
6270
Let x = 16335 - 261279/16. Calculate the common denominator of x and 37/7442.
59536
Let x(f) = f**3 - 9*f**2 - f + 9. Let l be x(9). Suppose -5*t + 40 = -l*t. Let p = 9114 + -9112. Calculate the lowest common multiple of p and t.
8
Let u be (-1)/(-42)*(-5)/25*52719. Let k = 1242/5 + u. Calculate the common denominator of k and -1/12.
84
Let p be 246*((-4)/3)/(-4). Suppose m + 2*q - 3*q - p = 0, 3*q = 15. Find the common denominator of 1 + m/32 - 1 and 107/14.
224
Suppose -6 = -2*c, 4*s = 5*s + 3*c + 31. Let t be (-106)/(-4)*176/(-32). Let d = t - -152. What is the common denominator of d and s?
4
Let h = -40 - -41. Suppose 9*u = 19 - h. Suppose -b = -u*b + 22. What is the least common multiple of b and 88?
88
Let d = -299 + 211. Find the common denominator of -77/64 and (-6 + (-100 - -12))*2/d.
704
Suppose 5*p = 3*v + 2721, -3291 = -113*p + 107*p - 5*v. Calculate the least common multiple of 18 and p.
1638
Let t = 80 + -76. Suppose 0 = -5*j + t*l + 172, -j - l = j - 61. What is the smallest common multiple of j and 20?
160
Suppose 2*w = 4*v + 368, -3*v = -2*w + 6*w - 648. What is the smallest common multiple of 1428 and w?
2856
Let z = -197915/952 - -1455/7. What is the common denominator of z and 63/208?
3536
Let z(t) = 161*t**2 + t**3 - 167*t**2 + 6*t + 1 - 9 + 0. What is the lowest common multiple of z(6) and 8?
56
Let d = 11951/11275 - 171/164. What is the common denominator of -49/36 and d?
9900
Let o = 261076669/264 - 7908747/8. Let l = o + -1000/3. Calculate the common denominator of 19/52 and l.
572
Calculate the least common multiple of 5/(13 + -3) + 9429/6 and 6.
1572
Suppose -20*x + 198 = -682. Suppose -8 = z - x. What is the lowest common multiple of 54 and z?
108
Let j(d) = -30*d**2 - 17*d - 25. Let o be j(19). Let m = o + 447029/40. Calculate the common denominator of (345/3)/(36/(-2)) and m.
360
Suppose -s + 3*f + 1 = -1, 27 = 5*s + 2*f. Let h(b) = b**2 - 20*b + 87. What is the least common multiple of 45 and h(s)?
180
Suppose 0 = 5*d + d + 36. Let p be (-20)/(-3) - 1/d*8. Calculate the