032 + -1591254531. Let r = -72/377 - j. What is the common denominator of r and -31/72?
144
Let a = -15/3539 - -115651/3071852. What is the common denominator of a and 43/155?
4340
Let l = 15 + 47. Let g = 13988 + -13980. Suppose -l - 106 = -g*a. What is the smallest common multiple of a and 30?
210
Let i = -826025 - -416316451/504. Find the common denominator of -59/24 and i.
504
Let j = 160 + -133. Calculate the common denominator of -17/12 and (j/12 - 3)*46/14.
84
Calculate the common denominator of (-2346)/340*8/(-114) and 57/40.
760
Suppose -2*x - w + 22 = 0, 0 = x + 2*w + 2*w - 18. Suppose 9*n = x*n + 5*q - 14, 0 = -2*n + q + 6. Calculate the least common multiple of 40 and n.
40
Let d = 29 + -25. Let b = 21937/9 - 2440. Calculate the common denominator of (d + (-37)/(-2))/((-79)/2) and b.
711
Let k(a) = 3*a**2 - a - 1. Let h be k(-1). What is the least common multiple of h/(-3 + 20/6) and (-7)/3*(-1008)/98?
72
Let w = -46 - -58. Suppose 6*j - 7*j + 178 = 0. What is the lowest common multiple of w and j?
1068
Suppose -101 = -5*x - h, 2*x - 44 = -7*h + 3*h. Let t = -2 + 16. What is the least common multiple of x and t?
140
What is the common denominator of ((-6)/2)/9*(-3267)/44 and -95/24?
24
Let o(h) = -88*h - 2566. What is the least common multiple of 371 and o(-40)?
6678
Let l = 79606 + -15125199/190. Calculate the common denominator of 67/418 and l.
2090
Suppose 0 = 2*h + n - 494, 0*h + 5*n + 715 = 3*h. What is the common denominator of ((-4)/8)/(625/h - 5) and 35?
240
Suppose -4*j - 2 = 5*h + 12, -5*j - 5*h = 15. Let o be j - (5 - 2) - 1274. Let m = 25539/20 + o. Calculate the common denominator of m and -121/20.
20
What is the least common multiple of 12/(-168)*-77 + (-30)/(-12) and 113128?
113128
Let s = 80071/62586 + 84/1159. What is the common denominator of -71/162 and s?
162
Suppose 4*k - 12*v + 12 = -9*v, 3*k - 3*v = -9. Calculate the smallest common multiple of 32 and 15*k*(-12)/54.
160
Let t be ((4 - 20) + 8)*54/8. Find the common denominator of -103/108 and 25/t*3 + 2.
108
Let y be (280/(-50))/((-2)/(-130)). Find the common denominator of 13/15 and 16/14*y/(-600).
75
Let b(u) = -u**3 - u**2 - 2*u + 1. Let q(h) = 2*h**3 - h**2 + 10*h - 12. Let a(t) = b(t) + q(t). What is the lowest common multiple of 78 and a(3)?
858
Suppose 3*y - 191 = -4*g, -200*g - 2*y = -203*g + 122. Let b = 10 + -6. What is the least common multiple of b and g?
44
What is the common denominator of 53/272 and (-13608)/952*(3 - (-142)/(-48))?
272
What is the smallest common multiple of 76/(4/(-6)*(-1)/2) and 133?
1596
Let d = -47 + 39969/851. Calculate the common denominator of -21/407 and d.
9361
Calculate the common denominator of 65/1172 and (-721)/206 + -1*2.
1172
Let q = 1 + 3. Let u(c) = c - 1. What is the common denominator of 2*(-3)/48 - 2094/144 and u(q)?
3
Let d(n) = n**2 - 13*n + 66. Let p be d(14). Let t = 98 - p. Calculate the smallest common multiple of t and 24.
72
Let n = -91 + 53. Let k = 33 + n. Let i = -3 - k. What is the smallest common multiple of i and 18?
18
Let y = -243243/40 - -6083. Let u = -3219 + 160881/50. Find the common denominator of u and y.
200
Let s = -18837 + 18882. What is the lowest common multiple of s and 78?
1170
What is the common denominator of (63/(-195) + 8/24)*316/8 and 151/2106?
10530
Suppose v + 4*f - 24 = -v, 0 = -v + f - 3. Let d(o) = 15*o**2 - 2*o + 7. Let z be d(v). What is the common denominator of (2/12)/(-1 - (-83)/z) and -127/24?
120
Let p = 278 + -75. Let q = -335/2 + p. Let c = -2222/21 - -215/2. What is the common denominator of c and q?
42
What is the common denominator of 26/513 and -13 - ((-1547)/5928 - 13)?
4104
Let z be ((-10)/(-3876))/(96/(-87968)). Let w = 8/323 - z. What is the common denominator of ((-4)/(-20))/((-12)/185) and w?
36
Suppose -f - c = -3*c - 418, -5*f - 5*c = -2045. Let x = f + -1256/3. Calculate the common denominator of x and -52/9.
9
Let x(f) = 2*f**2 - 8*f + 7. Let o be x(5). Suppose 10 - o = -7*c. What is the lowest common multiple of 6 and (-1*13 + c)*3/(-2)?
18
Suppose -17*y + 6742 = 5*y - 3906. What is the smallest common multiple of y and 220?
2420
Let x = -1140 + 1182. Let s = 1 + -1. Suppose s = -2*a + 3 - 7, -3*a = 5*n - 99. Calculate the lowest common multiple of x and n.
42
Suppose 44 = -12*f + 176. Find the common denominator of 46/25 and f/(-8) + (48 - 47).
200
What is the smallest common multiple of 60 and 38882/27 + 180/(-2430)?
1440
Let o be (1 - 1)*((-1)/(-2) + 0). Calculate the least common multiple of 14 and (-6 + (-40)/(-3))*(o + 12).
616
Let u = 4771616455/2359704 - 1/589926. Let s = u - 2031. Let j = 222 + -1781/8. What is the common denominator of j and s?
8
Suppose -4*k + 2647220 = -4*y, 4*y + 4*k - 2*k + 2647238 = 0. Let r be y/186912 + 4/(-18). Let d = r + -50/177. Find the common denominator of 45/14 and d.
154
Calculate the lowest common multiple of (6*3/(-45))/(2*(-6)/736860) and 16.
196496
Let u = -369/343 - -3/686. Let a = 91 + -161. Find the common denominator of u and a/42*(-13)/(-4).
84
What is the least common multiple of 297 and (-3168)/(-45) - (-176)/110?
2376
Let p be (81/18)/((-1)/(-6)). Suppose -p = -q - 2*q. Calculate the smallest common multiple of q and -1*-34*(-8)/(-16).
153
Let l = 8871121/8 - 1107492. Let z = -1400 + l. Calculate the common denominator of z and 75/28.
56
Let h = 62239/40 - 1555. Suppose -330 = j - 3. What is the common denominator of h and j/54 - (-1 - -2)?
360
Suppose 8*a + 30 = g + 5*a, 4*g + 2*a = 106. Suppose -2*h - 4*x - 5 = -57, -3*x + g = h. Calculate the smallest common multiple of h and 32.
96
Suppose -7*q + 9*q + 4 = 0. Let w be ((-4)/(-10))/q + (-71)/(-5). Suppose 12*c - 5*c - w = 0. Calculate the lowest common multiple of 3 and c.
6
Let v = 9488 + -9482. Calculate the least common multiple of 190 and v.
570
Let q(j) = 2*j**2 - j - 34. Suppose 5 + 8 = -5*t - 4*f, -3*t - 18 = -f. Calculate the smallest common multiple of 21 and q(t).
21
Suppose 0 = 5*p + 15, p - 3*p - 466 = -5*c. Let w = -86 + c. What is the common denominator of (-254)/w*(8 - 99/12) and 2/5?
60
Let o be (-105772)/336 + 3 + -1. Let z = o - -2224/7. Let a = 42846307/342 - 125282. What is the common denominator of a and z?
684
Let n(j) = -j**2 - 5*j - 2. Let c be n(-7). Let d = 96 - 97. Calculate the common denominator of (4/c)/(d/(-94)*-11) and 45/16.
176
Let z = 7 + -5. Let q(c) = z*c + 3 - 8 + 8 - c. What is the least common multiple of 4 and q(5)?
8
Let j(i) = 22*i**3 - 6*i**2 + i - 4. Let o be j(-6). Let k = o - -59869/12. What is the common denominator of ((-5)/(-15))/(12/8) + 2031/(-1242) and k?
276
Suppose 5*f - 4*k - 97 = 0, -4*f = -3*k - 8 - 69. Suppose 306 = -f*o + 26*o. What is the smallest common multiple of 10 and o?
170
Let y = 280 - 262. Find the common denominator of 61/10 and ((-54)/(-48))/(y/(-264)).
10
Let p be ((-5)/(-3))/(12/(-108)). Find the common denominator of -37/6 and (-46)/p + 20/(-100).
30
Let y = -95 - -95. Suppose y = 4*w - 4, -6*w = -r - w + 8. Suppose -r = -2*b + 31. What is the smallest common multiple of b and 10?
110
Suppose -484*k = -3*y - 487*k + 21, 3*y - 19 = -k. What is the lowest common multiple of (9/(-4))/((-24)/1472) and y?
138
Suppose -6*i = 2789764 - 192382. Let n be i/(-690) + (0 - (-4)/20). Let x = n - 628. Find the common denominator of x and -121/18.
414
Let t be (-4)/(0 - ((-15)/21)/(-5)). Suppose -2*j + t = 2*j. Suppose -j*f + 5*f = -12. What is the lowest common multiple of 6 and f?
6
Suppose 143*c - 38404 - 61957 = 6460. Calculate the smallest common multiple of c and 166.
1494
Let l = 7701 + -7683. What is the smallest common multiple of 1886 and l?
16974
Suppose -j + 3*f = 9, -5*j + 6*j + 2*f - 11 = 0. Suppose -9*n + 10*n - 41 = 0. Suppose 0 = 4*u - 3 - n. What is the least common multiple of u and j?
33
Let n = -9/407 + -658/2035. Calculate the common denominator of n and 6/275.
275
Let y = 19294/1185 - -141/79. Let t = y + 4/15. Let v = 79/5 + 57/10. What is the common denominator of v and t?
6
Suppose -1256*d + 1157*d + 75438 = 0. What is the lowest common multiple of 126 and d?
16002
Let l = -7934 + 7938. Suppose c + 33 = 5*u, -2*u - 2*c + 6 = -0. What is the smallest common multiple of (-1 - u)*(192/(-56))/l and 14?
42
Let x = -414545/28 - -14808. What is the common d