t m = 878154 + -1709766004/1947. Let i be 4 + 768/(-177)*1. Let q = m + i. Find the common denominator of q and 80/21.
231
Let q = -101 - -101. Suppose q = g - 11 + 4. What is the least common multiple of 18 and ((35/10)/g)/((-2)/(-24))?
18
Let d = -362 + 374. Let t = -4 - -10. What is the least common multiple of d and 251/t - 2/(-12)?
84
Calculate the smallest common multiple of 18 and 5/(13/((-429)/(-55))).
18
Let f = 16899/2 - 126787/15. Calculate the common denominator of f and 3 - 222/9 - 2.
30
Let k = 341 - 7847/23. Let h = -499/92 - k. Let v = 5/1434 + 19349/2868. What is the common denominator of v and h?
4
Let v = -155 - -337. Suppose -v + 24 = -y. What is the lowest common multiple of 9 and y?
1422
Let a be 11/2 + (-2)/(-4). Let s be 15*(660/25)/a. Let v = s + -52. Calculate the smallest common multiple of v and 16.
112
Let u(s) = s + 18. Let n be u(-16). Let w(d) = 12*d - 2. What is the least common multiple of w(n) and (-50)/4*(1 - 143/55)?
220
Let c = 202511/30 - 6755. Find the common denominator of -19/2310 and c.
2310
Suppose 5*y - 38 - 52 = 0. Let u be 6/(-24)*-28 - 647. Let d = 646 + u. What is the least common multiple of y and d?
18
Suppose 9 = 3*w - 21. Let c be 1*33 + 24/(-12). Suppose -17 = 2*d - 3*d + b, -2*d = -3*b - c. Calculate the smallest common multiple of w and d.
20
Calculate the common denominator of (-1058)/(-38940)*29 + -4*(-5)/(-25) and -85/8.
15576
Suppose 2*s + 58*g - 57*g - 105 = 0, 2*g = -6. Suppose s*x = 50*x + 140. What is the lowest common multiple of x and 50?
350
Suppose 2*j + 0*j + k = 20217, -3*j - 2*k + 30328 = 0. Let i be 1 + -3 - j/(-5055). Let m = i - -399433/111210. Calculate the common denominator of m and 95/12.
132
Let t(c) = 463*c - 6927. Calculate the smallest common multiple of 884 and t(15).
7956
Let q be (2 - (-57)/(-6))*(-13 - 5). Suppose 225 = 9*s - q. What is the smallest common multiple of 10 and s?
40
Suppose 10048 - 44728 = -17*o. What is the smallest common multiple of o and 816?
4080
Let y(c) = -7*c**2 + 5*c - 15 - 10*c + c**2 + c**3. Let n be y(7). Calculate the lowest common multiple of 430/10 + (n - -5) and 7.
329
Let o = -2136 - -2116. Let d be 1*2*2/4. Calculate the common denominator of (-2)/o - (d/3 + 0) and 131/6.
30
What is the common denominator of 5916/(-396) - (-65)/5 and (3/(-12)*3)/(1170/(-1420))?
858
Suppose 6*u - 5*u = 4*m - 147, 4*u + 84 = 2*m. Calculate the smallest common multiple of m and (-266)/(-13) + 11872/(-31694) + 2/(-23).
180
Let a be (-15936)/103740 - (-1)/((-13)/(-2)). Let w = a - -423597/34580. Calculate the common denominator of w and 0 - 51/27 - 2.
36
What is the common denominator of -101/3782 and (110/(-88))/(-5) + 51/9?
22692
Let m(q) = 3*q + 31. Let x be 35/15 + 1/(-3) - -29. Calculate the lowest common multiple of 8 and m(x).
248
Let z = 29 + -23. Suppose 8 = r - z. Suppose c - 8 = 4*s, 2*s + 10 = c - 8. What is the lowest common multiple of r and c?
28
Suppose 4 + 6 = 5*t, -5*t + 694 = -4*s. What is the common denominator of ((-5)/(-25))/((-3)/s) and (-2)/6 - (-62)/(-48)?
40
Suppose -10*m - 36*m - 6379 = -29839. What is the smallest common multiple of 1020 and m?
1020
Suppose 924 = 18*g - 4*g - 10*g. Calculate the smallest common multiple of g and 2457.
27027
Suppose -24 = -5*k + 1. Find the common denominator of -55/42 and (k/(135/(-2)))/((-16)/678).
252
Let k(r) = 2*r**3 + 67*r**2 - 29*r + 260. Let o be k(-34). Suppose -88 - 332 = 5*a. Find the common denominator of 61/10 and 853/o - (a/54)/7.
10
Let f = -42491887/550 + 77258. Calculate the common denominator of f and -29/50.
550
Let a(l) = 2*l**3 + 125*l**2 - 104*l + 137. What is the lowest common multiple of 480 and a(-63)?
8160
Let u = -71619 + 37947. Let q = 1414291/42 + u. What is the common denominator of 20/63 and q?
126
Suppose 0 = -26*v + 1802 + 2710 + 1338. Calculate the least common multiple of 5 and v.
225
What is the lowest common multiple of 871 and (6 + -7)/((-20)/200)?
8710
Calculate the common denominator of 17/30 and (14*21/(-800))/(129/(-86)).
600
Let g = -217/64 + 5971/704. Let h = 4624/3 + -1555. What is the common denominator of g and h?
33
Suppose 64*c - 480 = 56*c. Suppose -41*j = -40*j - 14. What is the lowest common multiple of j and c?
420
What is the least common multiple of (2 + -1)*(24 + 2) and (-52)/10*(-290)/116?
26
Calculate the common denominator of -44/665 and ((-1)/1260*3)/(5348/(-1068) + 5).
5320
Suppose 5*f - 616*o = -612*o + 532, 3*o = 3*f - 318. Calculate the least common multiple of 39 and f.
1404
Let k = -11963591/96 - -124620. Let p = -764 - -5367/7. Calculate the common denominator of k and p.
672
Let m = 26467/6 + -4424. Calculate the common denominator of m and (-1564)/(-360) + (-4)/10.
18
Let x = 69 + -7. Suppose -128*o + 136*o = 128. Calculate the smallest common multiple of o and x.
496
What is the common denominator of ((-16)/(-64))/((-2868)/3872) - (-1)/3 and 52/5?
1195
Suppose l + 3*r - 50 = 0, -3*r = 5*l + 105 - 295. What is the lowest common multiple of 565 and l?
3955
Let s(l) = -2*l**3 - 2*l**2 + 5*l + 6. Let n be s(-4). Suppose -157 = -5*h - n. Suppose -21*v + 30 = -h*v. What is the smallest common multiple of v and 8?
40
Let c be ((-12)/14)/(6/588). Let m = 98 + c. What is the smallest common multiple of 24 and m?
168
Let x = 8 - 5. Calculate the common denominator of ((-1854)/216)/(0 - -1) and (-122)/(-72) + x/(-6).
36
Let i = 3164194/37 + -85508. Let g = 4/45087349 - 18127551632/2028930705. Let n = i + g. Find the common denominator of 13/24 and n.
360
Let d(g) = 600*g - 226. Calculate the smallest common multiple of d(5) and 4.
5548
Let w(b) = -b**3 + 9*b**2 - 4*b + 1. Let u be w(4). Let o(c) = -23*c**2 - 48*c + 71. What is the smallest common multiple of u - 2*(-2)/4 and o(-3)?
264
Let u(h) = 5*h**3 + 2*h**2 - 17*h + 3. Let t be u(-7). Let c = t + 28363/19. Calculate the common denominator of 29 and c.
19
Let j = 44/125 + -7829/2000. Find the common denominator of -2 + (715/248 - 1) and j.
496
Let y(c) = c - 1. Let b(p) = p**2 + 16*p + 2. Let w(t) = b(t) - 4*y(t). Suppose 5*f - 17 - 13 = 0. What is the smallest common multiple of w(-12) and f?
6
Let m(f) = f + 1. Let p = -83 - -191. What is the smallest common multiple of m(5) and 4/(-18) + 1968/p?
18
Let t(c) = 26*c - 270. Let k be t(32). Let a = k + -23621/42. Calculate the common denominator of -71/28 and a.
84
Let c = -19062 - -19066. Let x = 5 + -19. Let q = x + 28. What is the least common multiple of c and q?
28
Suppose h + c + 1 = 3*h, 5*c - 7 = 4*h. Let t be (-3)/(h + (-404)/208). Let k = -37 - t. What is the least common multiple of k and 2?
30
Let l = -33 + 38. Let b be (-4)/2 - (23 - l). Find the common denominator of (2*1)/(b/21) and 55/16.
80
Let x = 9503485 - 266126059/28. Let y = 5156 - 6173. Let b = x - y. Calculate the common denominator of -35/12 and b.
84
Let n = -18606584917/3780 - -4922377. What is the common denominator of n and 97/24?
7560
Suppose -1 - 17 = -2*n. Suppose -15*j + 511 = 151. What is the lowest common multiple of j/14*70/4 and n?
90
Let w = -2400 - 2647/4. Let u = 3045 + w. Let l = 41/118 - -361/1593. Find the common denominator of l and u.
108
Find the common denominator of -137/140 and (-26)/(-35)*(4303/(-364) - -12).
980
Calculate the smallest common multiple of (131 - 122) + 173/1 and 1586.
11102
Let b = 305/2047 + 206089/773766. What is the common denominator of 89/198 and b?
4158
Let y(n) = 338*n**2 - 1015*n + 8. Calculate the smallest common multiple of 628 and y(3).
3140
Let h be 180/8*(-66)/9. What is the common denominator of -1/2 and 453/h + 4/20?
22
Let m = 4336853/40 - 108415. Let p be (11/(-5))/(1 + 0). Let a = p + m. What is the common denominator of 65/9 and a?
72
Let v = 46195/19 + -16626913/6840. Calculate the common denominator of 15/728 and v.
32760
Let d = -11265897/523277 - -3/30781. Let w = d + 4429/306. Calculate the common denominator of w and 107/50.
450
Let t be 8/(-20) + 214/10. Suppose 7*b + 16 = 3*b, 4*c + 3*b = 76. Let j = c - t. What is the lowest common multiple of j and 11?
11
Let x(g) = 413*g**2 + 12*g - 1. Let a be x(-1). Calculate the common denominator of (-35)/(-42)*7/(-3) and (-32)/a*730/(-8).
90
Let y(a) = 15*a + 435. Calculate the smallest common multiple of y(3) and 320.
960
Calculate the sma