
Let y = 60 + 20. Let g be y/78*(-8)/(-48). Let a = 4751/1638 + g. Calculate the common denominator of a and 107/20.
140
Let p be (-1206)/(-546) - (-2)/(-7). Let b = 431/26 + p. What is the common denominator of b and 61/48 + 21/((-1638)/104)?
16
Let q(t) = -3*t + 37. Let s be q(5). Let d = s - 40. Calculate the common denominator of -7/37 and 6/d*33/(-10).
370
Let r = 275 - 580. Let u = r - -312. What is the smallest common multiple of 1 and u?
7
What is the lowest common multiple of 168 and (145 - 7/7 - -8) + -5?
1176
Let x(k) = k**2 + 9*k - 12. Let u(g) = -g**3 - 13*g**2 + 2*g + 17. Let d be u(-13). Let b be x(d). What is the least common multiple of 3/b - 132/(-16) and 16?
16
What is the smallest common multiple of 32*1*(1 + 1995/60) and 4?
1096
Calculate the common denominator of -77/1272 and (740/24 - 19) + 0/2.
1272
Let s be ((-1 - -1) + -16)/35. Let k be 84 + -77 + 582/(-70). Let t = s - k. What is the common denominator of -89/6 and t?
42
Let s = 22145/24 - 2794/3. Let l = 53935409/25305 + -349965/241. Let g = l + -4796/7. What is the common denominator of g and s?
120
Let w = -10091/147 + 16985554/247401. Find the common denominator of w and -47/918.
10098
Let m = 2/2963 + -198549/41482. Suppose 0 = -3*f + 2*n + 16, f - 4*n + 6*n = 0. Find the common denominator of m and f/(-4)*86/16.
56
Let m(t) = t**2 + 4*t - 7. Suppose 2*d - 841 = -r, 5*r - 22*d + 21*d = 4161. Let o = 850 - r. Calculate the smallest common multiple of o and m(-6).
85
Suppose 17*p = 132046 - 131111. Calculate the smallest common multiple of p and 555.
6105
What is the smallest common multiple of 84 and ((-12)/8)/((-60)/(-40)) + 617?
1848
Let r = -17 - -18. Calculate the common denominator of (-10)/40 + ((-735)/12)/(-5) and (-2*r/(-14))/((-24)/(-3724)).
6
Find the common denominator of ((-7)/((-147)/54) - 2) + (40 - 47) and ((-4)/(-184))/(4/152).
161
Let y be (56/(-1422))/7*39/(-2). Let m = -21833/1896 - y. What is the common denominator of -20/7 and m?
56
Let b = -1319 + 1284. Let k be (-3)/6*2*-43. Let h = b + k. Calculate the least common multiple of h and 2.
8
Let w = -1414124 - -105794858814/74813. Let p = w - -146368/121870377. Let q = -3622/1629 + p. What is the common denominator of q and 21/13?
117
Suppose -f + 148 = 2*o, -157*o = -161*o - 3*f + 300. Calculate the least common multiple of 1056 and o.
3168
Let x(m) = m**2 - 53*m + 413. Let w be x(10). Let k(b) = b**3 + 16*b**2 - 23*b - 86. Calculate the lowest common multiple of k(w) and (-1)/(-3) - (-26)/3.
144
Let x = -586162 + 586303. Let l = 5 + 34. What is the smallest common multiple of l and x?
1833
Let l(z) = -39*z + 157. Let d be l(11). Let c = 288 + d. Let n(v) = v**3 + 2*v**2 - 3*v - 4. Calculate the smallest common multiple of n(3) and c.
32
Suppose -72*s + 7410 = -15*s. What is the least common multiple of s and 70?
910
Suppose 12*c - 21 = 10*c - n, -12 = -c - 2*n. Calculate the least common multiple of 235 and c.
470
What is the smallest common multiple of 435 and (10005/(-276))/((-5)/72)?
2610
Let a = 2/23117 + -1319219/17915675. Find the common denominator of a and 14/1705.
8525
Let f(h) = 2*h**2 - 10*h - 6. Let x(i) = -i**2 - 84*i + 263. What is the smallest common multiple of x(-87) and f(8)?
42
Let h be ((-80)/(-24))/((-1186)/(-6)). Let b = h - 67069/3558. Let z = 2/765 + 7036/765. Calculate the common denominator of z and b.
30
Let v(a) = -a**2 - 25*a - 24. Let u be v(-14). Calculate the common denominator of (1*(-16)/(-20))/(196/u) and 119/10.
490
What is the common denominator of -6*60/(-88) + (21 - 21) and -56/219?
2409
Let j(n) = -91*n + 331. Calculate the smallest common multiple of j(3) and 29.
58
Let r = -56128/11 - -5098. Find the common denominator of -42/209 and r.
209
Let g = -16540976/567 - -87518/3. Calculate the common denominator of -2/273 and g.
7371
Let t be 10/4*(-78)/(-65). Find the common denominator of 15/33*(-5 + (-99)/(-18)) and (-665)/462 - 1/t.
22
Let p = 1707 + -1685. What is the lowest common multiple of 2730 and p?
30030
Find the common denominator of (-254)/(-635)*910/24 and 59/84.
84
Let y = 120 + -105. Suppose y*k = -14*k + 1914. What is the smallest common multiple of k and 88?
264
Let f = 29281 + -27945. What is the least common multiple of f and 668?
1336
Let x = 220/9 - 98/3. Let r = -1098/365 + -2264041/6570. Let p = r + 351. Calculate the common denominator of p and x.
18
Let t be (-604846)/(-1614800) - (-6)/(-16). Let n = 834973/110100 + t. Let g = 53681/96 - 1678/3. Find the common denominator of n and g.
96
Let k = -98765/4146 + -8/691. Calculate the common denominator of 158/(-324) + (-7)/(-14) and k.
162
Let l = 92473/6 + -15423. Calculate the common denominator of 1*94/(-10) + -2 and l.
30
Let v(j) = -2*j**3 - 81*j**2 - 68*j - 1100. What is the smallest common multiple of 10 and v(-40)?
20
Let n = 2726/207 - 262/23. What is the common denominator of 93/764 and n?
6876
Let x = 115396 + -6923947/60. Find the common denominator of -26/1775 and x.
21300
Let h = -5371 + 150345/28. Let f = h - -171/28. Let i = 10030 + -441283/44. Calculate the common denominator of f and i.
308
Let r(g) = g**2 + 2*g + 7. Let f be r(-3). Calculate the least common multiple of f - 14 - 594/(-4 + 1) and 16.
1552
Let r = -27957/7480 + 172/55. What is the common denominator of r and -12/527?
4216
Let x = 7 - -2. Suppose x - 3 = 3*c. What is the common denominator of (-3)/(-3) - c/((-162)/(-165)) and 17/3?
27
Suppose 92*g - 61*g = 28520. Calculate the least common multiple of 240 and g.
5520
Calculate the common denominator of ((-238)/90)/(0 + -8 - (-20)/3) and 52/45.
180
Let g = -865/7 - -7981/63. Suppose 2*s + 4*c - 6*c = -118, 295 = -5*s + 3*c. Calculate the common denominator of g and (s/(-3))/(232/(-87)).
72
Suppose 653321 = 222*f - 173407. Calculate the lowest common multiple of f and 10.
18620
Let m = 4733 - 132505/28. Let y = 9745353/17 - 573039. Let f = y + -82591/374. Calculate the common denominator of m and f.
308
Let p be -8*(39/(-12))/13. Suppose -5*y - 125 = -5*z - 15, 4*z - 78 = p*y. What is the lowest common multiple of z and 5?
85
Let g(y) = y**2 + 47*y + 596. What is the smallest common multiple of g(-22) and 4?
92
Let q = -4356 + -1045. Let s = q - -75519/14. Let c = 92107/22 + -4186. Calculate the common denominator of c and s.
154
Let v be 16/(-72) - (-616)/18. What is the common denominator of (3/(-300))/(v/595) and -93/56?
280
Let h = -402 - -406. Suppose 9*g = -x + 6*g + 37, 5*x - h*g = 204. Calculate the least common multiple of 40 and x.
40
Suppose 4*u + 10 - 26 = 0. Let p = 75 - 53. Suppose -6*i + 32 + p = 0. Calculate the least common multiple of u and i.
36
Let n(g) = -2*g + 17. Let l be n(-9). Let s = l + -32. Suppose s*z - 162 - 6 = 0. What is the smallest common multiple of z and 6?
168
Let z be 4/(-2 + 12/9). Calculate the common denominator of 51/4 and (-25)/1080 - (185/(-30) - z).
216
Suppose y - 2*p - 4 = 0, 3*y + 3*p = -2*p + 12. Suppose 0 = -5*v + y*r + r + 30, -5*v + 3*r = -38. What is the least common multiple of v and 11?
110
Let d = 74 + -266. Let z = d - -198. What is the least common multiple of 448 and z?
1344
Suppose 80*m - 70*m = 1600. Suppose m - 66 = 3*n - 2*a, 5*a = -4*n + 87. Calculate the smallest common multiple of n and 98.
196
Let z = 7113 + -6978. What is the smallest common multiple of 468 and z?
7020
Let n = -171 + -313. Let o be (n/(-14) - 36/63) + -1. Suppose -q + o = -0*q. Calculate the least common multiple of 9 and q.
99
Let s = -2792/31 + 125483/1364. What is the common denominator of s and -127/3192?
35112
Let v = -30 - -35. Suppose -v*c = 3 - 8. Suppose -236*o + 231*o = -60. What is the smallest common multiple of o and c?
12
Let k(r) = r + 1. Let t(u) = 2*u + 22. Let x(g) = -5*k(g) + t(g). Let c be x(5). What is the common denominator of 3*(-24)/5 - (-6)/c and -14/5?
5
Suppose 24*j - 1904 = 16*j. Suppose 0 = 7*s - 4*s - 5*m - 149, 2*m - j = -5*s. Calculate the common denominator of s and (-3)/((-138)/20*-1).
23
Suppose 3*p = 789 + 729. Let i = 302343/72820 - 7/3641. Calculate the common denominator of (2 - p/28)/(12/(-14)) and i.
20
Let k = -225 + 427. What is the common denominator of -19/10 and (17/51)/((-4)/k)?
30
Suppose 3*k - 40 - 53 = 0. Suppose 4*b = 4*s + 4, -6*s + 2*s = 3*b - k. Let u(p) = -93*