186901)/37388). Let t = r + 176/9. Find the common denominator of 27/5 and t.
5
Let f = -1890 - 62. Let l = f + 3457. What is the common denominator of -1 - -1 - (l/(-231) - -4) and -28/15?
165
Let i = 46 + -42. Suppose 208 = 9*k + i*k. What is the smallest common multiple of k and 154?
1232
Let g = -261221 - -67395137/258. What is the common denominator of g and -71/903?
1806
Let r = 80 + -124. Calculate the common denominator of 40/33 and 4/r*(-960)/(-36).
33
Let m(n) = -n**3 + 4*n**2 + 12*n + 12. Let o be m(6). Let w(z) = -5*z + 64. What is the lowest common multiple of w(o) and 6?
12
Let u be (-15 - -1)/(-1) + 5. Calculate the common denominator of (-159)/u*16/144 and -139/18.
342
Suppose -6900*i + 116098 = -6875*i + 2098. Calculate the least common multiple of i and 4560.
4560
Calculate the smallest common multiple of 32*((-208)/(-13))/2 and 640.
1280
Let g be (-2 + 8/5)/(1/(-10)). Suppose 2*z + 44 = x, g*x - 2*x - 76 = z. Calculate the common denominator of -163/30 and (3/(-90))/(-1 - x/(-37)).
30
Let p = 528/79 - 5326/395. Find the common denominator of -31/909 and p.
4545
Let h = 36329/557172 + -2/5159. Calculate the common denominator of 59/24 and h.
216
Calculate the lowest common multiple of 400 and ((-63)/6)/((1674/(-900))/31).
2800
Suppose 4*f + 8 = -2*j - 4, 0 = -4*f - 20. Let t be (-75 - (-2 + 7))*j. What is the common denominator of 71/40 and 390/t + 0/(-2)?
160
Find the common denominator of (866/18)/((-15910)/120) - 1/(-3) and 93/296.
12728
Calculate the lowest common multiple of ((-28)/630*-30)/(268/(-270) + 1) and 312.
4680
Let p = 244893290664074333/1637704 + -149534525570. Let a = -6/4993 - p. Let y = -13141/2296 + a. Calculate the common denominator of y and 8/5.
35
Let s = -3 - -8. Let u = 1674 + -1629. Calculate the lowest common multiple of u and s.
45
Suppose 3*y + 88 = -4*m, -6*m + 3*y = -3*m + 87. Find the common denominator of 1 + ((-5050)/(-36))/m and -33/20.
180
Let l(j) = 2*j + 58. Let b be l(-28). Suppose m = 3*c - 58, -b*m - 9 = -c + 2. Suppose 4*x - 3*x = 6. Calculate the least common multiple of c and x.
42
Calculate the common denominator of 487/(-65) - -2 - (-8 + 10/5) and 18/6025.
78325
Let n = 1305 - 782. Let a = n - 338. Suppose 13*t - a = 49. Calculate the lowest common multiple of 48 and t.
144
Suppose -10*i = -45*i + 11*i + 8880. What is the smallest common multiple of i and 11?
4070
Suppose 2*u + 2026 = -200*s + 204*s, -1523 = -3*s - 2*u. What is the lowest common multiple of s and 195?
2535
Suppose 3*n = -5*b + 27, 0 = -4*b - 2*n + 8 + 12. Suppose -b*u - 3 = 5*i, 2*u + 0*u + 1 = -3*i. Calculate the smallest common multiple of u and 34.
68
Suppose -15*q = -10*q - 360. Calculate the smallest common multiple of (-12)/30 - q/(-5) and 836/171 - (-2)/18 - -17.
154
Let i = 60725035 - 123149966053/2028. Let x = -599/3 + i. Find the common denominator of -23/10 and x.
3380
Let i = -2695 + -5197. Let u be 5 - 828085/(-105) - (4 - 2). Let h = i + u. Find the common denominator of h and 11/24.
168
Let v(b) = 5*b**3 - 14*b**2 - 18*b + 108. What is the smallest common multiple of 8 and v(10)?
3528
Suppose -2*c = 4*s - 2520, 0 = 4*c - 5*s - 6182 + 1064. What is the smallest common multiple of 30 and c?
6360
Let w be (-2)/14 - 29/(-7). What is the lowest common multiple of (-7 - (-18)/2)/((-2)/(-4)) and ((-12)/7)/(w/(-14))?
12
Let y = 244 + 33. Let d = y + -1011/4. Find the common denominator of d and (((-42809)/(-780))/(-37))/(1/(-3)).
20
Let q = 23 + 0. Suppose q*v - 24*v + 8 = 0. Suppose -15 = 3*k - v*k, 0 = -o - 5*k + 25. What is the smallest common multiple of 7 and o?
70
Suppose 0 = 2*m + m - 270. Suppose p = -4*p + m. What is the lowest common multiple of p and (3 - 24)*134/(-469)?
18
Let g = -294617/145230 + 429/206. Find the common denominator of -73/45 and g.
2115
Let u be (-12)/(-4) - (-3696545)/(-2060730). Let l = u - -1/6542. What is the common denominator of l and 64/33?
693
Let o(a) = 0*a**2 + 2*a**2 + 5*a + 3 - 6. Suppose -286*v = -272*v - 140. Calculate the lowest common multiple of v and o(-5).
110
Suppose 4 = -4*o + 5*o. Suppose -5*s + 1200 = -5*x, x - s + 210 = -6*s. Let w = -135 - x. What is the lowest common multiple of o and w?
100
Let u = -519877/28 - -18563. Find the common denominator of -9/28 and u.
28
Calculate the least common multiple of 175 and (-3 - 15 - 19)*(0 + -35).
6475
Let t = -164827 + 232123. Suppose -4*y + t = -2*z, 5 = 4*z - 3. Let b = y + -336433/20. Find the common denominator of b and -57/22.
220
Suppose 2*p - 4*d - 2126 = 1422, -3*d = 2*p - 3534. Calculate the least common multiple of p and 99.
58410
Let t(x) = -13*x - 10. Let p be t(-2). Let c be (-72)/p*(-22)/3. Find the common denominator of -47/2 and c/(-34) - (-3 - (-2 - 2)).
34
Let c = -14115/1108 + -3/277. Find the common denominator of c and 345/100 + 226/(-3955).
28
Suppose -342*j = -328*j - 616. Suppose v - 6*v + 36 = 2*t, 3*v - 22 = -t. Calculate the smallest common multiple of v and j.
88
Let h = -15 + 20. Suppose 226 = h*u + 2*o, 5*o = -3*u + 66 + 81. Let x = u + -38. Calculate the lowest common multiple of 54 and x.
54
Let f be ((-8)/3)/((-2)/(-57)). Let r = 1453 + -1450. What is the common denominator of 5 - 9 - r/9*f and -7/24?
24
Suppose 3*m + 49 = 10*m. Calculate the common denominator of 107/36 and m + 178/(-24) - 2.
36
Let y = -1039/337 - -31171/6066. Let r = -1 - 3. Calculate the common denominator of y and (-121)/10 - r/(-10).
18
Let z = -51 + 62. Let t = 38 - 39. Calculate the smallest common multiple of (-2)/8*t + (-55)/(-20) and z.
33
Let a = 36 - -26. Suppose -2*s - 5*p = -30, -3*s = p - 2*p - 62. What is the least common multiple of a and s?
620
Let w = 10169521/38390 - 2649/10. Let t = -31067/23034 + w. Find the common denominator of 1/10 and t.
330
Let z(b) = 6*b - 38. Let f be z(6). Let d = -2/151 - -6497/302. Find the common denominator of f*15/(-56) - (-28 + 27) and d.
28
Suppose -20*o + 50 = -15*o. What is the lowest common multiple of o and (3 - 5 - -8)/(90/60)?
20
Suppose -30*g + 57 = -27*g. Suppose -g*d = -22*d + 117. Find the common denominator of 12/10*(-1)/((-120)/d) and -117/10.
100
Suppose z + 4*n - 124 = 0, -12*n + 42 = -6*n. What is the lowest common multiple of z and 348?
2784
Calculate the smallest common multiple of 15 and (61 + -33)*-1*225/(-12).
525
Let o(i) = -2*i**2 - 29*i - 22. Let a be o(-14). Find the common denominator of 59/10 and (-1)/(4 + 12/a).
10
Let d = -732 - -753. Let u(s) = -s**3 - 6*s**2 - 5*s - 3. What is the smallest common multiple of u(-6) and d?
189
Let a be (0 - 1/3) + (-281 - -5). Let x = a + 1789/6. What is the common denominator of x and (-115)/18 + 2 - 1?
18
Let g(f) = -f - 2. Let y be g(5). Let a(s) = s**3 - 41*s**2 + 15. Let l be a(41). Let m = l - y. What is the least common multiple of 8 and m?
88
Suppose 0 = j - 5*t - 26 + 3, -3*j - 11 = 5*t. Calculate the smallest common multiple of -111*(-3 + (1 - -1)) and j.
111
Let r = 65 + -65. Suppose r = 22*k - 262 - 266. Calculate the least common multiple of 24 and k.
24
What is the lowest common multiple of 119*7 - 15/((-150)/70) and 27?
7560
Let j(n) be the second derivative of -2*n**3/3 + 37*n**2/2 + 2*n. Calculate the least common multiple of 40*(-2 + 24/10) and j(8).
80
Let m = 5 - 5. Let w = 14 - m. Let s(p) = -10*p**3 - 4*p**2 - 6*p - 2. Calculate the least common multiple of w and s(-1).
70
Let w = 5739 + -5715. Calculate the smallest common multiple of (-4)/(-6)*(10 + 2) and w.
24
Let l(u) = 16*u**2 + 9*u - 11. Let w be l(3). Calculate the common denominator of 47/10 and w/(-64)*(-346)/210.
210
Let o(l) = l + 74. Let r be ((-9)/27)/(614/(-123) - -5). Suppose -2*a - 75 = -0*v - 3*v, 0 = a - 3. What is the lowest common multiple of o(r) and v?
297
Find the common denominator of (-962)/296*(-22)/(-300) and 37/120.
600
Let w = -4 + 0. Let h be 4 + -5 + (-4)/w. Calculate the lowest common multiple of 5*-3*(h - 2/3) and 8.
40
Let c = -1373958/151 + 9099. Let x = -5763/2114 + c. Find the common denominator of 436/(-32) + 3/2 and x.
56
What is the least common multiple of 110 and (-12)/14*490/(-14)?
330
Let v = 46 + -44. Suppose -2*o + 42 = 2*t, -v*o + 0*t - 3*t = -44. Let h = o - 15. Calculate the smallest common multiple of 6 and h.
12
Let n be 41/(-4) + 15/12 + -2. What is the lowest common