?
32
Let o = -512179 - -444059273/867. What is the common denominator of o and 103/6?
1734
Let f be ((-20)/(-15))/((-51)/45 + 1). Let l = 2 + 8. What is the least common multiple of l and (f/8)/((-1)/24)?
30
Suppose -6 = v - 2*a, -3*a = -5*v - a - 14. Calculate the common denominator of ((-35)/70)/(((-56)/62)/v) and 45/16.
112
Let y = -121/93 + -720/217. Let s = 244/5 + -1558/35. Let g = s + y. What is the common denominator of g and 19?
3
Let g be -4 - (-204)/54 - (-10)/45. Let q = -38 + 107. Suppose -4*j + 21 = 2*m - q, m - 3 = g. Calculate the lowest common multiple of 15 and j.
105
What is the common denominator of 13 - ((-20)/64)/((-51)/2108) and (-1 - -2) + (-293)/278?
1668
Let w be (1 - 1) + (-20)/(-2). Suppose 2*t + 19*t = 373 + 131. Calculate the lowest common multiple of (-368)/(-20) - 4/w and t.
72
Let i(u) = -95*u**3 - 2*u**2 - 3*u - 5. Let s = 67 - 69. Let d be i(s). What is the common denominator of d/(-210) - (-4 - -1) and -13/10?
70
Let f(c) = -c - 9. Let p(z) = -5*z - 38. Let l(o) = 26*f(o) - 6*p(o). Calculate the least common multiple of (-41)/(-7) + (-17)/(-119) and l(9).
30
Suppose -5*z - 240 = -2*z. Suppose -10*k - 176 = 3*c - 6*k, 108 = -2*c + 2*k. Let x = c - z. Calculate the lowest common multiple of x and 14.
168
Let m = -60465/11 - -5501. Let x = -19 - -23. What is the common denominator of x + 6/(-14) + -3 and m?
77
Let h = 16772793/238 - 70474. Calculate the common denominator of ((-2)/(-10))/((-6)/(-675)) and h.
238
Let f = 135 + -98. Suppose -13 = -11*w + 31. Calculate the smallest common multiple of w and f.
148
Let t be 10*5 - (-60)/(-20). Let n be t/2*-2 - 2. What is the least common multiple of 2/(-14) + ((-1806)/n)/6 and 5?
30
Let b = 50439/29 - 67087089/38570. What is the common denominator of 167/42 and b?
3990
Calculate the common denominator of -1 - -3 - (12593/1260 + -9) and 97/252.
1260
Let t be 32*-9 + (-4 + 2)*1. Let y = 14 - t. What is the common denominator of 2/(y/225)*(-16)/(-12) and -1/8?
152
Let l = 431/377 + 4128526/2639. Let v = 1563 - l. Calculate the common denominator of 269/(-30) - 3/9 and v.
70
Let y(j) = 7*j**3 - 10*j**2 + 19*j - 28. Calculate the smallest common multiple of 128 and y(4).
2688
Suppose -4*c + 74 + 46 = 0. Calculate the lowest common multiple of (837 + -855)*(2 + 9/(-6)) + 24 and c.
30
Suppose -3228*d - 40392 = -3264*d. What is the smallest common multiple of d and 363?
12342
Let b(d) = 11 - 19*d + 32*d - 17*d + 9. Let u be b(5). Suppose -9*m + u*m = -72. Calculate the smallest common multiple of 12 and m.
24
Let m be 0*(2/2 - 18/12). Suppose g - 5*r + 13 = m, -2*r + 0 = -6. What is the least common multiple of 838 and g?
838
Suppose 9329*j - 36 = 9327*j. What is the least common multiple of j and 1872?
1872
Suppose 281 = -8*y + 1465. Let h = y + -89. Suppose -j + 3*m = 3*j - h, 21 = j - 2*m. What is the lowest common multiple of j and 51?
561
Suppose 9*i - 3*i + 36 = 0. Let s = -835 + 5870/7. Find the common denominator of ((-6)/i)/(1/(-27)) and s.
7
Suppose 0 = 8*d - 2*d. Suppose 0 = -2*c - d*c - 730. Calculate the common denominator of ((72/30)/(-6))/(12/c) and 58/9.
18
Suppose 0 = -2*y - 3*y - 30. What is the smallest common multiple of 3*((-74)/y - 3) and -3 - (332/(-14) + (-170)/(-238))?
140
Let y be (-294)/(-6) - (-3)/(-1). Let j = y + -43. Suppose -j*s + 18 = d, 3*s - 7 = -2*d + 41. Calculate the smallest common multiple of 8 and d.
120
Let r be (-1106)/23 + 96/1104. Let y = r + 123. What is the least common multiple of 6 and y?
150
Let a = -126 - -128. Let b(i) = -2*i + 20. What is the least common multiple of b(a) and 6?
48
What is the common denominator of 131/24 and (-3)/(-24)*1 - 86375/576600?
23064
What is the common denominator of 3 - (-36)/(-3) - 12537636/(-1390872) and 53/4?
13636
Let a be 5 + 2*1058975/298920. Let b = 5/2491 - a. Let v = -293782/167195 - 1/47770. Find the common denominator of v and b.
420
Let f(u) = -u**3 - 4*u**2 - 2. Let x be f(0). Calculate the common denominator of (x/24)/((-12)/1208) and 1/302.
2718
Suppose -3*d - 2*j = 14, 4*d + 19 = 3*j + 6. Let t be 11/(-2) - (-3)/(-6). Calculate the smallest common multiple of 24 and (-21)/t + d/8.
24
Let k = 2924 - 1002900/343. Find the common denominator of -62/3773 and k.
3773
Let y(z) = 6*z + 69. Let s be y(-10). Suppose 4*w + 135 = s*w. What is the least common multiple of w and 105?
945
Let t = -6406 + 3402. Let z = 18071/6 + t. Calculate the common denominator of z and (-3)/(-24)*17*(339 + -345).
12
Let j(r) = -18*r + 558. What is the lowest common multiple of 864 and j(-11)?
6048
Let d = 92007883/30744 + -182325/61. Let z = 2767719/56 - 49425. Let c = z - d. What is the common denominator of 89/6 and c?
18
Suppose 2*y - 62 = -2*o + 16, 5*o = 10. Calculate the least common multiple of 381 and (-5)/(30/6)*4 + y.
4191
Suppose -648 + 11260 = -28*c. Let k = c - -403. Suppose 5*m - m - 72 = 4*p, 5*p = 3*m - 46. What is the least common multiple of m and k?
264
Calculate the least common multiple of 20 and (518485/33)/5 - (-4 + 65/15).
31420
Let o be (-2)/(-8) + (-591)/12 + -2. Let v = -49 - o. Suppose -v*g = -g + 4*w - 34, 12 = 3*w. Calculate the smallest common multiple of 4 and g.
36
Let q = -3914311665747800623/498855 + 7846592027242. Let c = q + 1/47510. Find the common denominator of c and 58/7.
42
Let d be 15/((2 + -6)/(-4)). Let r be d/25 + 190180/(-32). Let p = 5942 + r. Calculate the common denominator of -91/24 and p.
120
Let l = 693 + -1479. Let w = l + 470. Calculate the common denominator of -4 - (w/32 - -2) and -19/10.
40
Let m(o) = -19*o + 151. What is the lowest common multiple of (-2685)/(-135) - (-2)/18 and m(-5)?
2460
Let c(r) = -r**3 + 25*r**2 + 26*r - 1. Let d be c(26). Let t(v) = 9*v**2 - 5*v - 5. Calculate the lowest common multiple of 4 and t(d).
36
Find the common denominator of -19/20 and (4009665/35214)/19 - 6.
117380
Suppose -16 = -27*a + 23*a. Suppose a*v + 4*o = 5*o - 126, 0 = -5*v + o - 158. Calculate the smallest common multiple of (v/6)/8 - 184/(-6) and 4.
60
Let y = 22969 + -757921/33. Suppose 61371 - 22443 = 24*h. Let w = h - 14639/9. What is the common denominator of w and y?
99
Let p(q) = -q**2 + 20*q - 12. Let g be p(19). Suppose g*r = 8*r - 4. Calculate the smallest common multiple of r and 4 - (-248)/12 - 2/3.
24
Let n be 2/11 + 52/(-44). Let b be n/((0 + 3)/(-48)) - 0. Suppose 138*h + b = 142*h. Calculate the lowest common multiple of h and 10.
20
Calculate the common denominator of (-51927)/(-25508)*(-1)/(-100) and 49/32.
5600
Let j = -58 + 126. Suppose 2*s + j = 5*p - 2*p, -3*s - 80 = p. Let i = -18 - s. Calculate the lowest common multiple of 1 and i.
10
Let p(i) be the second derivative of 19*i**4/12 + 3*i**3/2 + 3*i**2 - 101*i. Calculate the lowest common multiple of p(-1) and 96.
96
Let o(k) = -29*k**2 - 3*k + 2. Let m be o(1). What is the common denominator of 2*3/m*6/(-33) and -49/30?
330
Let l = 80 - 65. Suppose 0 = -13*d + l*d + 1554. Let s = -1461/2 - d. Calculate the common denominator of s and 33/8.
8
Calculate the common denominator of (1092/1536)/7*-2 and 19/204.
3264
Let n(k) = 3*k**2 - 40*k - 32. Let w = 280 + -274. Calculate the lowest common multiple of n(15) and w.
258
Let p = -2739/19 - -40851/247. Let o = -6007/286 + p. Calculate the common denominator of -83/10 and o.
110
Find the common denominator of -41/2423 and 19/2*(2 + 496/48 + -11).
7269
Let j = 2245 + -2231. What is the lowest common multiple of 196 and j?
196
Suppose -38*a - 468 = -110*a + 54*a. Calculate the smallest common multiple of 88 and a.
1144
Suppose 0 = 40*m - 62*m + 110330. What is the common denominator of ((m/150)/17)/(4/6) and 27/22?
220
Let j = 22440 + -22416. What is the least common multiple of 894 and j?
3576
Calculate the common denominator of (3/(-140))/(((-16)/(-10))/(6/(-165))) and -23/3920.
43120
Let x(u) = -8*u**2 + 28*u - 6. Let c be x(-7). What is the common denominator of 61/24 and (-3)/c*-47*3?
264
Calculate the lowest common multiple of (-588)/(-9)*(-15 - (-702)/42) and 791.
12656
Calculate the least common multiple of 7 and 16396 - ((-3 + (-12)/(-4))/(-3) + 1).
114765
Calculate the common denominator of -58/639 and 7/(840/1408) + 6/10.
639
Let w = -3365352389/1818 - -1851129. Calculate the common denominator of w and -103/2020.
18180
Sup