 Calculate the least common multiple of a and f.
32
Let g = 11140 - 11104. Calculate the smallest common multiple of g and 84.
252
Let m be 3/(-18) - (-277576)/1669584. Let o = -34692799/119256 + m. Let d = o - -581/2. Find the common denominator of d and -51/4.
56
Suppose 0 = -251*q + 15249 + 148220 + 39841. What is the lowest common multiple of q and 1890?
5670
Suppose -3*f + 534 = 3*g, 3*f + 4*g = 17 + 512. Let k be -3 + (4516/(-24) + 3 - 0). Let v = k + f. What is the common denominator of v and -9/11?
66
Calculate the common denominator of (1/(-6))/((-1179)/(-7205)) and -43/51.
918
Suppose 2*b + 39 - 79 = 0. Suppose 0 = 12*w + b*w - 2688. What is the lowest common multiple of w and 48?
336
Suppose 0*x - 5 = x. Let r be (-6)/x - (-24)/30. Suppose -2*u - r*m = -m - 57, 0 = u - 5*m - 45. Calculate the smallest common multiple of 21 and u.
210
Let p(n) = n**3 - 19*n**2 + 19*n - 6. Suppose 5*w + 82 = 4*f, 2*w = -5*f + f + 68. Let v be p(f). What is the common denominator of 1/(-2)*(-268)/v and 29/2?
6
Let v = -752796 + 657943629/874. What is the common denominator of v and -173/570?
13110
Suppose 1792 = 2*d - 4*q, -q + 1874 = 5*d - 2606. What is the least common multiple of d and 28?
896
Let f = 246 + -245. What is the common denominator of 53/58 and f/2 + 30/(-80)*-58?
116
Let g(a) = 4*a**2 - 6*a. Let w = -8 + 11. Calculate the lowest common multiple of g(w) and 122.
1098
Find the common denominator of (-64277)/(-9044) + (-1)/4 and 59/343.
343
Suppose -4*f = 4*s - 4316, -s - f + 1094 = -3*f. Suppose 3*l = 2*z + 847 + 241, 2*z = 2*l - s. Calculate the common denominator of (-16)/(-12) + z/12 and 73/22.
22
Let v be ((-134)/(-4))/(37/70078). Let g = 18209885/287 - v. What is the common denominator of g and -32/9?
2583
Suppose 9*r - 5*p = 8*r + 51, p = -r + 69. Calculate the least common multiple of 6 and r.
66
Let d = -16096 + 16147. What is the lowest common multiple of d and 6528?
6528
What is the smallest common multiple of (-7991)/(-915) + (-44)/(-165) and (-1)/(-4) - (-222)/8?
252
Let h(y) = 11*y**3 + 7*y**2 - 16*y + 130. Calculate the least common multiple of 1331 and h(6).
2662
Let i = 36 + -22. Suppose -17*m = -i*m. Suppose 11*v + 24 - 244 = m. What is the smallest common multiple of v and 20?
20
Let l = 2791 - 1067. Suppose -12*y + l + 124 = 0. Calculate the smallest common multiple of 14 and y.
154
Let k = 8154 - 7282. What is the least common multiple of 2 and k?
872
Let o = 15914229 - 170335547052923/10703349. Let l = o + 49759871197/9076439952. Let d = l + -486/53. Calculate the common denominator of -39/4 and d.
16
Calculate the least common multiple of (15 + -6)*(-18)/(-27) and 1242.
1242
Let m(o) = o**3 + 13*o**2 + 140*o + 2272. Calculate the lowest common multiple of 580 and m(-14).
580
Suppose -915 = -17*q + 2*q. Calculate the lowest common multiple of 183 and q.
183
Let u = -12761/18 - -705. Let x = 2/159053 + -14474027/16223406. Calculate the common denominator of u and x.
306
Let b be (-4*1)/(5/(-10)). Let v be (-26)/3*468/b. Let f = -2562/5 - v. Find the common denominator of f and 29/12.
60
Find the common denominator of -101/368 and 20/(-24)*(-667)/580.
1104
Find the common denominator of 86/585 and ((-175)/50)/((-9)/(-42)).
585
Suppose -127*o + 29988 + 36814 = 0. What is the least common multiple of o and 20?
5260
Let d(k) be the second derivative of 7*k**3/6 + 5*k**2/2 + 2*k. Let p be d(6). Suppose -p = 2*c - 53. What is the least common multiple of 3 and c?
3
Let j = -1525 + 228587/150. Calculate the common denominator of j and -32/3.
150
Suppose 0 = 3*c - 3*t, 12 = 2*c + 2*t - 0. Suppose c*o + 3*w - 45 = 0, 20*o - 19*o - 4*w = 0. Calculate the least common multiple of 15 and o.
60
Let v = -26509 + 636323/24. Calculate the common denominator of v and -151/180.
360
Suppose 201761 = -7*r + 549857. Let b = r + -19325. Let h = b + -1155207/38. Find the common denominator of -47/20 and h.
380
Let d(s) = -s**3 + s**2 + 2*s + 201. Calculate the smallest common multiple of d(0) and ((-21)/(-6))/((-2)/(-12)).
1407
Let m = -49 - -53. Suppose -359 + 71 = -m*n. Let s = 74 - n. Calculate the least common multiple of s and 6.
6
Suppose 0 = 5*b + 2*k - 48 + 398, -5*b - 350 = -k. Suppose 3*c - 8 = c. Calculate the common denominator of 145/6 and 623/b + c*1.
30
Suppose -3090 + 220 = -14*f. Let c = f - 187. Calculate the least common multiple of 26 and c.
234
Suppose 46*h = -99*h + 31*h + 912. Calculate the least common multiple of 16976 and h.
16976
Suppose -2*k = 2*k - 80. Let h be (((-100)/15)/(-4))/(2/(-36)). What is the lowest common multiple of (-14)/105 - 484/h and k?
80
Let s = -27407/42720 - -12/445. Calculate the common denominator of s and 67/2720.
8160
Let m(k) = k**3 + 7*k**2 - 4*k - 23. Calculate the least common multiple of m(-7) and 26.
130
Let c(j) = -4*j - 33. Let i be 1/(-3)*(-11 - -20) + -9. Let v be c(i). What is the common denominator of ((-846)/84)/(-3 + v - 3) and 61/20?
420
Calculate the least common multiple of 9331 + (-12 - 10) + 18 and 4.
37308
Let d = 1975333319/5736 + -1033124/3. Find the common denominator of d and -113/42.
40152
Calculate the common denominator of -2 + 107/8 - -1 and 7276/5136*((-14)/4 + 2 - 1).
24
Let x be 93372/(-27)*((-27)/10 + 3). Let p = x + 1038. Calculate the common denominator of p and 74/63.
315
Suppose 0*m = m + 2, 0 = 5*x + m + 42. What is the common denominator of -11/10 and (-189)/360*x/(-6)?
10
Let s be ((-24)/(-15))/((-4)/(-60)*6). Suppose -8*q + 288 = -s*q. Suppose -p + 5*p - q = 0. What is the lowest common multiple of p and 10?
90
Let y = 364 - 343. Suppose 2*l = 5*d + 1, -y*l + 5*d + 17 = -17*l. Suppose 2*b - b = 11. What is the lowest common multiple of b and l?
88
What is the common denominator of (-3)/9*134/(-34) and ((-33170)/(-4708))/(85/2)?
561
Let k = -13645 + 7601. Let p = 362767/60 + k. Calculate the common denominator of 65/66 and p.
660
Let g be (-6)/18*3*4. Let b(j) = j**3 - 21*j**2 + 23*j**2 + 0*j - 3 - 7*j + 8. Calculate the smallest common multiple of 9 and b(g).
9
Let y = -87827/50736 + 2/1057. Let f = -381551/15 + 25440. What is the common denominator of f and y?
240
Let v = -10372 - -11140. What is the least common multiple of 20 and v?
3840
Let k be -3 - (-3 + 3/((-3)/10)). Suppose 14*w - 178 = -k. Calculate the least common multiple of 16 and w.
48
Calculate the common denominator of (3644/(-1836) + 2)/(6/(-1978)) - -5 and -35/2.
2754
What is the common denominator of 8 + (-5)/((-3000)/(-4608)) and 17/229?
5725
Let x(b) = -b**2 + 20*b + 21. What is the least common multiple of 39 and x(8)?
117
Let p = 157 + -186. Let h = 67/2 + p. Find the common denominator of -81/14 and h.
14
Let g be (3/(-108))/(37/(-12513)). Let d = -474/37 + g. Find the common denominator of -3/14 and d.
84
Let k(q) = 25*q + 38. Let u = 216 - 207. What is the smallest common multiple of u and k(5)?
1467
Calculate the common denominator of 69/320 and ((-3)/60*-1)/(11/(29425/(-60))).
960
Let b be (5 - (-5)/(10/(-14))) + -124. What is the common denominator of 29/7 and 3 + 0 - (-141)/b?
42
Calculate the common denominator of (63/(-18))/(123/533) and 18/22 - (-2)/4.
66
Suppose 3*n = -4 - 41. What is the common denominator of (1/(n/(-42)))/((-20)/85) and -139/180?
180
Let z(c) = c**2 - 13*c + 65. Suppose 3*d + b = -0*d + 15, -4*b - 36 = -4*d. What is the lowest common multiple of 8 and z(d)?
184
Let s = -121736/69 + 3527/2. Calculate the common denominator of -11/72 and s.
1656
Let d(c) = c**2 + 15*c + 46. Let n be d(-12). Suppose 4*j = -6 - n, 3*l + j = 50. Suppose 44 = 5*s - 46. Calculate the least common multiple of s and l.
18
Let f = 604495/67 - 9022. Let d = -229/1407 - f. What is the common denominator of 2/(-5) - 152/60 and d?
105
What is the least common multiple of ((-30)/21*(-2)/5)/(10/700) and 280?
280
Calculate the common denominator of 101/108 and (-273)/(-576) + (68 - 69).
1728
Let c(r) = r**3 + 27*r**2 - 285*r - 151. Calculate the smallest common multiple of c(-35) and 417.
3336
Let k = -12936 + 25835/2. What is the common denominator of k and 17/2070?
2070
Let g = 6226753/138 + -45121. What is the common denominator of -2*37*(-9)/60 and g?
690
Suppose 981*i - 20 = 971*i. Suppose -2*n + t + 2*t - 495 = 0, 4*n - 4*t + 980 = 0. Calculate the common denominator of 