Let c = o - -5/759. What is the common denominator of c and 61/33?
132
Suppose -8*q - 10*q + 90 = 0. Suppose -b + q*p = -27, 5*b - 2*p + p = 39. What is the smallest common multiple of b and 35?
35
What is the common denominator of 137/168 and (5/32)/((-3)/114)?
336
Let i = -510/229 + 50187/28396. Let g = 5630/11 - 79997/154. What is the common denominator of i and g?
868
Let k = 1256/7 + -4653/28. Find the common denominator of k and 143/54.
108
Let l be (-176)/(-18) + 6/27. Calculate the common denominator of 79/(-4)*l/20 and -45/11.
88
Let u = -10517251/102839 + -34/9349. Let o = -9076/219 - 1660519/24090. Let z = u - o. Calculate the common denominator of z and -65/4.
20
Let p = 233207/14 + -16665. What is the common denominator of 41/22 and p?
154
Suppose 0 = 3*l - w - 18, 3*w = -3*l + 6 + 12. What is the smallest common multiple of 3334 and l?
10002
Let p(q) = 12*q**2 - 134*q + 267. Let t = 3413/4 + -85257/100. What is the common denominator of t and p(2)?
25
Suppose -4*l + 16876 = i, l + 2*l - 5*i = 12657. Let j = 42153/10 - l. Let w = -99/10 - -93/20. What is the common denominator of j and w?
20
Suppose 4*h + 12 = -0. Let u = 1234/3 - 24389/60. Find the common denominator of (109/h)/((-14)/(-3)) and u.
140
Calculate the common denominator of (0 + (-475)/8)*(-200)/1500 and 27/40.
120
Let w = -3363 + 30227/9. Calculate the common denominator of w and 122/(-32) - 2/4.
144
Let n = 972 + -476. Calculate the common denominator of 31/2 and n/12 + 2/12.
2
Let y = -4439/4 + 39695/36. Suppose -72 = -z - 16. Find the common denominator of y and 3/(-12) - 274/z.
63
Let u(y) = y**3 - 4*y**2 - 5*y. Let v be u(4). Let h be ((-66)/(-15))/((-2)/v). Suppose 0 = 3*j + j - h. What is the smallest common multiple of j and 7?
77
Suppose 0 = 6*s - 46 - 50. Suppose -s = -3*h + 17. Let j(c) = -c + 19. Calculate the least common multiple of 6 and j(h).
24
Let b = -3/379 - -7213/1516. Calculate the common denominator of b and (-926)/(-352) - (-22)/121.
16
What is the common denominator of (1/((-54)/420))/(-2) and -87/140?
1260
Suppose x - 56 = -4*y, -3*x = -5*x - 8. Calculate the common denominator of (-19)/((24/y)/(-4)) and 23/4.
4
Calculate the lowest common multiple of 124 and ((-72)/(-16) + -9)*(-4)/9.
124
Suppose 17 - 3 = 5*j - 4*w, -w = 3*j - 5. What is the least common multiple of j and 559?
1118
Suppose 78 = -3*g - 6. Calculate the common denominator of 29/6 and (-166)/g + (-2)/2.
42
Suppose 0 = 5*f - 3*f + 8478. Let p = -93147/22 - f. Calculate the common denominator of 73/16 and p.
176
Suppose y = k + 24, -11 = 3*y + 5*k - 67. Suppose -5*s + 81 = -2*m + m, 4*s - 5*m - 69 = 0. What is the smallest common multiple of s and y?
176
Suppose 5*m + 21 = -2*k, -4*k - 3*m = -10 + 31. Calculate the least common multiple of k - (-12 - 4 - -4) and 3.
9
Let a(s) = -s**3 - 22*s**2 + 73*s - 44. What is the least common multiple of 189 and a(-25)?
378
Let g be 12/(-65648)*(-585372)/28. Let r = -2/28721 + g. What is the common denominator of 87/14 and r?
28
Let o = -226 + 409. Calculate the smallest common multiple of o and 30.
1830
Suppose 3*t - 2*j - 16 = 0, 5*t - 51 = -3*j + 1. Suppose 226 = 5*p - 2*i, 14 = p + 5*i - 15. What is the lowest common multiple of p and t?
88
Let x = 728/15 - 4157/60. What is the common denominator of -32/203 and x?
812
Calculate the common denominator of 8/(-28) + (-503)/(-609) and (-24797)/(-2740) - 2/15.
348
Let j = 4591/18 + -255. Let i = 58167/2 + -28156. Let v = i + -903. Calculate the common denominator of j and v.
18
Let p(u) = 2*u + 1. Let t be p(3). Let h(b) = -b**2 + 6*b + 14. What is the lowest common multiple of h(t) and 3?
21
Let t = -3453 - -41381/12. Find the common denominator of 35/21*54/(-4) and t.
12
Let m = 611 - 3014/5. What is the common denominator of -7 + 188540/25410 + (-4)/6 and m?
385
Let d be (159 + -4 + 1)*3. What is the common denominator of -101/2 and 356/d + 4/(-18)?
26
Let o = -117 + 48. Find the common denominator of (o/(-20) + -4)*3 and 57/10.
20
Let u = -2063/2344 - -3/586. What is the common denominator of -23/62 and u?
248
Suppose 27 = 4*z - z. Suppose -8 = -2*o, -3*o - 89 = -5*u + z. What is the lowest common multiple of u and 8?
88
Calculate the least common multiple of 56 and (-2)/(-4)*-18 - -49.
280
Let r(p) = -5*p**3 + p**2 + p + 1. Let n(u) = -14*u - 143. Calculate the smallest common multiple of n(-11) and r(-1).
66
Let g be (-1)/(-2) + (-4)/(-8). What is the common denominator of 480/(-165) - (-1 - -2) and g - -2 - 25/(-3)?
33
Let r(m) = 59*m**3 + 3*m**2 - 2*m - 6. Let v be r(5). Let i = 59383/8 - v. Calculate the common denominator of -35/3 and i.
24
Let b(w) = -6*w + 6. Let p be b(-7). Suppose -f - 2*i + 2 = 0, p = 5*f + 2*i - 2. Let d(r) = r + 3. Calculate the least common multiple of d(9) and f.
12
Let d be (-105)/18 - (-2)/(-12). What is the smallest common multiple of 2 and (-2)/d*(3 + 27)?
10
Suppose v + 3 = 3*a, 3*v - 30 = -4*a - 13. Suppose 4*i = -j + a*j + 331, 3*i - j = 248. What is the common denominator of (-2)/(-1) - i/18 and 131/12?
36
What is the least common multiple of ((-12)/15)/((-9)/765) and 10?
340
Suppose -5*w + 3*x + 1 = 0, 5*w - 2*x + 0 = 4. Suppose -8 = -4*d - 2*s, 4*d + 2*s - 20 = 3*s. What is the least common multiple of d and ((-6)/w - -2) + 2?
4
Calculate the common denominator of 225/(-270) - 119/(-81) and -37/144.
1296
Let z = -1133/232 - -22/29. Suppose 5*y + i + 4*i = 5, 4*i = -3*y. What is the common denominator of (-6253)/2002 + y/(-14) and z?
88
Suppose 0 = 20*m - 6*m - 1302. Calculate the smallest common multiple of m and 12.
372
Calculate the common denominator of -31/526 and ((-105)/14 - -8)/((-14)/(-94)).
3682
Let m be (-6 + 13626/2280)/(66/(-8692)). Let h be (-442)/1254 + (-3)/(-9). Let i = m + h. What is the common denominator of -7/16 and i?
80
Suppose w + 30 = 34. Calculate the common denominator of (-688)/144 + w/6 and -127/6.
18
Let q = 23 + -13. Suppose 3*v + 0 - 48 = 0. What is the lowest common multiple of q and v?
80
Let s = -1264243/38 - -33272. Find the common denominator of s and -89/26.
494
What is the common denominator of (-41)/(-16) - (-12 + (11 - -3)) and -101/96?
96
Let q = -11223 - -11255. Let j(s) = 4*s**2 + 2*s + 2. What is the lowest common multiple of q and j(3)?
352
Let t = -2096/33 + 196/3. What is the common denominator of t and (-25)/(-4) + 3/3?
44
Let d = 30208/7 - 4313. Find the common denominator of d and 2 + (-78)/(-16) - -1.
56
Let y = 755 - 6806/9. Suppose -26 = 2*d - 3*z, 3*d + 7*z + 56 = 3*z. Find the common denominator of d and y.
9
Let r(q) = q**2 - 2*q - 13. Let p be r(5). Suppose -4*a + 287 = p*d + 21, d = -1. Calculate the common denominator of (-18)/27*a/12 and -109/12.
36
Let m = 66239030/3 - 68688894004/3111. Let x = m + -5324/17. Let s = 4617/610 - x. Calculate the common denominator of s and 59/3.
30
Let w = -115 + 119. What is the least common multiple of (-1 - (-2)/4)*-10 and w?
20
Let h(t) = -t**2 - 4*t + 8. Let k be h(-6). Let i be (-13 - 12/k) + 2. What is the common denominator of -101/8 and (-60)/33*i/10?
88
Let s(w) = -w**2 - 8*w - 7. Let h = -30 - -25. What is the least common multiple of s(h) and 40?
40
Find the common denominator of -13/456 and (-14 - 0)*(-960)/6048.
1368
Suppose -8*o = -5*o - 15. Suppose 4*g + o = -7, -2*g - 12 = -3*r. What is the lowest common multiple of r and 54?
54
Let a = 78/11 + -1557/308. What is the common denominator of a and 40/77?
308
Let o = 1186/357 - 50/17. Let w = 127/21 + o. Calculate the common denominator of -1/11 and w.
77
Suppose 4*a - 32 = -5*p, 4*p + 0 = 5*a + 1. Suppose 5*i = -y + 121, -p*y = i - 3*y - 25. What is the least common multiple of 18 and i?
72
Let v be (163/166 - 1)*1/(-3). Let s = v - -954/83. Find the common denominator of s and 48/11.
22
Suppose h = -0*h + 70. Suppose 4*o = 10 + h. Suppose 3*y = -2*t + o, 0 = 4*t - 9*t - y + 50. What is the lowest common multiple of 10 and t?
10
Let t = 22 + -20. Suppose 3*j + 2*v - 58 = 0, -5*j + 96 = -t*v + 5*v. What is the lowest common multiple of 4 and j?
36
Let p = 638 - 1227/2. Calculate the common denominator of 17/4 and p.
4
Let j be (203/2)/7*-2. Let p = -27 - j. Suppose -p*s = 4*m + 8, -3*s + 17 = -5*m - 4. Calculate the lowest common multiple of 20 and s.
20
Let t(j) = -4*j**2 + 2*j - 3. Le