
17649
Let l be (-330)/(-75)*5/2. Let k = l + 9. Suppose 3*u = -x - 2*u - 5, 0 = -4*x - u + 75. Calculate the lowest common multiple of k and x.
20
Let m = 380327 + -6085135/16. Let q = -46459/6 + 7761. What is the common denominator of m and q?
48
Let v(b) = 32*b**2 + 223*b + 29. Calculate the least common multiple of 4 and v(-7).
36
Let d = 4/513 - 10097/1026. Let u = 4338 - 225685/52. What is the common denominator of d and u?
156
Let m = 256 + -289. Calculate the least common multiple of (-6)/m + (-6755)/(-55) and 8.
984
Suppose -110*r = -1682 - 3378. Suppose -5 - 3 = -u + f, 5*u = 2*f + 34. What is the smallest common multiple of u and r?
138
Let u = -60923/12 - -5074. Find the common denominator of 11/38 and u.
228
Let h = -1/2405 - 36052/55315. Let f = -129/92 - h. Find the common denominator of f and (-55)/165 - (350/(-312))/1.
52
Let v(q) = q + 64. Let i = -78 - -43. Let x = i + 55. Calculate the lowest common multiple of x and v(-16).
240
Let j be ((-4)/(-12)*3)/((-9)/63). What is the lowest common multiple of (3/j)/(20/(-5180)) and 1?
111
Let w = 130 - 90. Let x be ((-4)/w)/((-1382)/(-1381) - 1). Let p = x + 144. Calculate the common denominator of p and 29/32.
160
Let b = 27 - 35. Let n = -26 - -46. What is the least common multiple of 438/24 - (-2)/b and n?
180
Let d = -1/362404 - -6433121/163081800. What is the common denominator of d and -79/160?
7200
Let p(w) = -w**3 + 13*w**2 - 13*w + 30. Let t = -17 - -29. Let n be p(t). Let q(i) = 2*i**2 - 37*i + 24. Calculate the lowest common multiple of 2 and q(n).
6
Suppose -755 = 4*x + 4*i + 2833, 4485 = -5*x + 3*i. Let z = x - -14447/16. Calculate the common denominator of z and -101/4.
16
Let x = 18 - 10. Suppose -411 = 149*m - 1305. What is the lowest common multiple of m and x?
24
Let t = -18095453/120 + 150794. Calculate the common denominator of 161/360 and t.
360
Suppose -4*d + 16 = 0, -23 = -4*j + 3*j - 4*d. Let u = 28 + -23. Calculate the smallest common multiple of -2 - -12 - 15/u and j.
7
Let v = 148 + -104. What is the lowest common multiple of (-8)/(((-88)/198)/(6/9)) and v?
132
Suppose -27 + 19 = -8*l. What is the smallest common multiple of ((-90)/(-150))/(l/5) and 69?
69
Calculate the lowest common multiple of ((-1060)/(-16))/(36/1584) + 9 and 5.
14620
Let g = 984 - 1011. Let u(s) = 3*s**3 - 6*s**2 - 4*s - 6. Let r be u(-4). Calculate the common denominator of (r/18)/(18/g) and 35/9.
18
Calculate the lowest common multiple of -2 + (26/377 - -2*(-149373)/(-174)) and 105.
5145
Let q(u) = 9820*u**3 - u**2 - 2*u + 2. Let s be q(1). Let z = s - 294611/30. Find the common denominator of z and (27/30)/(12/(-10)).
60
Suppose 3*r - 6 = 4*m - 4, 3*r + 3*m + 12 = 0. Suppose 5*p - 29 + 9 = 0. Let f = r + p. What is the smallest common multiple of 22 and f?
22
Suppose 2*v - 13 = -3. Suppose -v*i = 10 - 65. Suppose -i*p = -99 - 297. Calculate the smallest common multiple of 18 and p.
36
Let c be 54/9*(3 + -5). Calculate the common denominator of 186/(-32) - 1/(-4) and ((-423)/(-24))/(((-135)/c)/5).
48
Suppose 5*y + 187 = -2*f, 3*y + 4*f = 2*y - 23. Let j be 7/((-182)/(-108)) + 6/y. Find the common denominator of -9/13 and (522/27)/(j/(-2) - -5).
117
Let i = 220663/32 + -6898. Calculate the common denominator of i and 73/96.
96
Calculate the least common multiple of 9 and (-238*(-9)/(-4))/(((-3)/4)/3).
2142
Let l = -23189 - -23213. Suppose 0 = -4*s + 79 + 369. What is the least common multiple of l and s?
336
Let p = -397387/28050 + 2/4675. Let k = 4/11 - 59/132. Calculate the common denominator of p and k.
12
Let o = -8758181/364 + 168438/7. Let r = -35783 - -180131/5. Let j = r + -14047/60. Calculate the common denominator of o and j.
156
Suppose -32 = -o - 2*r, 4*o = -3*r + 8*r + 180. Suppose -48*n = -o*n - 72. Calculate the lowest common multiple of n and 45.
45
Let t be 333*2/(-7 - -5). What is the smallest common multiple of t/90*-5 - (-2)/(-4) and 9?
18
Let a(k) = -4*k + 26. Suppose 42 = 3*m + 27. What is the lowest common multiple of 52 and a(m)?
156
Suppose 0 = -4*b - x + 1332, -4*b = x + 4*x - 1316. What is the lowest common multiple of b and 92?
15364
What is the common denominator of (-26)/6*(33/(-132))/((-15)/(-28)) and 43/1260?
1260
Let d = 10568/7 - 1505. Let v be (-4101)/30 - 2/4. Let g = v + 2539/20. Calculate the common denominator of d and g.
28
Let g(x) = 11*x + 45. Suppose -a + 5 = 5*j, -5*j + 10*j = -3*a - 15. Let v be g(a). Let n = v - -83. Calculate the smallest common multiple of n and 88.
792
What is the lowest common multiple of 132/36*-6*(-359)/2 and 10?
39490
Suppose -30*g + 18*g + 2964 = 0. Suppose 5*s + 3*m - g = -64, 5*s - 185 = -5*m. Calculate the smallest common multiple of s and 48.
144
Let c = 87/452 - 13571/13560. Calculate the common denominator of c and -109/672.
3360
Calculate the least common multiple of 2192 and (-56)/35 - (-176)/10.
2192
Suppose 105*c - 100*c - 145 = 0. Let s = c - -27. What is the lowest common multiple of 16 and s?
112
Let q = -102869/10 - -10276. What is the common denominator of 1 - (293/(-132) - -3) and q?
660
What is the common denominator of 99/784 and -6 - (-14049)/1512*(-4)/(-10)?
11760
Suppose 4*w = -2*f - 6, 5*f + 12 = 5*w + f. Suppose -24 = -w*x - x. Suppose 0 = -28*a + x*a + 84. What is the smallest common multiple of a and 6?
42
Suppose -y = 30039 + 14164. Let m = -181065/4 - y. Let v = 1039 + m. Calculate the common denominator of v and 11/18.
36
Let m be ((-12)/(-7))/(1/(-21)). Let r be ((-8)/m)/((-4)/6)*-6. Suppose -41 = r*n - 53. What is the smallest common multiple of 14 and n?
42
Calculate the common denominator of 51/500 and (-6)/175*(-63)/576.
4000
Let j = 70 + -39. Let x = 32 - j. Calculate the lowest common multiple of 11 and (143/44 + -4*x)*-4.
33
Suppose 6719*r - 6747*r = -27440. What is the lowest common multiple of r and 56?
1960
Calculate the common denominator of -1 + (-1345)/(-600) - 18/(-135) and -65/448.
448
Suppose 3*c + 1 = -5. Let u = -13329/7 + 1908. Find the common denominator of u and c + (50/14 - -4).
7
Let u(r) = -85*r + 9. Let b be u(-9). Let c = b + -576. Calculate the least common multiple of c and 16.
1584
Suppose -9*l + 10 = -116. Let m(a) = -a**3 + 15*a**2 - 13*a - 7. What is the lowest common multiple of 18 and m(l)?
126
Let c be 1776/(-96) - 2*3/(-12). Let y(h) = -6*h - 93. What is the least common multiple of 153 and y(c)?
765
Calculate the common denominator of 52/43 and (35/(-15) - -6) + -4 + 785/330.
946
Find the common denominator of 3/(-1) + -2*(-4965)/2700 and 19/435.
2610
Let l = -10226 - -10412. Calculate the least common multiple of l and (4/3)/(9/162).
744
What is the least common multiple of (-36)/(-21) - 87168/(-112) and 540?
7020
Let h(p) = -5*p**3 - 2*p**2 + 2*p + 3. Let o be h(-1). Suppose -27 = -2*t + 3*w, -o*t + 5*w + 40 = -t. What is the least common multiple of 81 and t?
405
Let q = 717 - 519. Let s = 348 - q. Calculate the lowest common multiple of s and 6.
150
Find the common denominator of 10830/171*6/345*-1 and 56/207.
207
Let k be ((-459)/9)/((-1)/(-2)). Find the common denominator of 139/72 and (-206)/168 - k/(-119).
72
Let n = 204573/22 - 9301. Find the common denominator of 49/5196 and n.
57156
Find the common denominator of -161/330 and (-56875)/27000 + 2/16.
2970
Suppose -2*y + 59 + 61 = 0. Let k = y - 9. What is the least common multiple of k and (168/(-20))/7*-5?
102
Suppose -2*y - 2*w = -42, 6*y - 4*y - 42 = -4*w. Let r = 55 - y. Calculate the common denominator of (r/(-44))/(10/60) and 8/3.
33
Let c = 99 - 13. Suppose 0 = 87*b - c*b - 12. Calculate the lowest common multiple of b and 40.
120
Suppose 272 = 3*j + j. Calculate the lowest common multiple of j and (-15 - -40)*44/110.
340
Let z(k) = 7*k - 12. Let a(w) = w + 1. Let m(i) = 6*a(i) - z(i). Calculate the least common multiple of m(14) and 70/(-4)*(-2 + (-12)/(-10)).
28
Suppose -2*p = -4*v - 1424, -4*v + 3628 = 5*p + 82. Calculate the least common multiple of p and 35.
4970
Suppose 3*n + 11 = -2*z, -2*z - 2*z + 33 = -5*n. Suppose -4*s + 1784 = 3*u, -4 = -s - 2. Find the common denominator of ((-1)/2)/(z + (-1268)/u) and -2/27.
189
Let n = 539765/33 + -16354. Find the common denominator of 2*(-4)/8 - (654/(-216) - 1) and n.
396
Let t = 52 + -22. What is the smallest common multiple of 2