76
Let y = -96237/10 - -9613. Find the common denominator of y and -5/496.
2480
Let v = 86935364101/2940 - 88709524/3. Let j = v - 1/588. Find the common denominator of j and 41/27.
135
Let l = 198161/22 + -9011. Find the common denominator of l and 55/5392.
59312
Let f = -28 - -60. Suppose 5*j + 1393 + 252 = 0. Let d = j - -337. Calculate the least common multiple of f and d.
32
Let s be (78/(-88) - -3) + (-4)/(-16). Let g = s - 305/22. What is the common denominator of -83/8 and g?
8
Let l be (128/7 - 34/119)*4*-1. Let c = -153 - -95. Let t = c - l. What is the lowest common multiple of 18 and t?
126
Calculate the least common multiple of ((-7)/(-28))/((-3)/(-675))*16 and 1500.
4500
Let c = 95113/20 - 14258/3. Find the common denominator of c and 31/380.
1140
Suppose 2*x + m - 22 = 0, -265*m = 2*x - 270*m - 34. Let p = -5 - -10. Suppose p*g = 28 + 82. Calculate the smallest common multiple of x and g.
132
Let u = 13644/35 + -204629/525. Calculate the common denominator of u and -83/75.
525
Let p = -37 + 36. Calculate the lowest common multiple of 20 and 7/((-28)/(-348)) - p.
440
Find the common denominator of 20*(-50)/20*1*3/714 and 38/77.
1309
Calculate the lowest common multiple of 10 and ((-20)/8)/(708/(-88) - -8).
110
Let t = -65 + 66. Suppose 0 = 3*f + 15 + 6. What is the lowest common multiple of (52/(-8) - f)/((-2)/(-28)) and t?
7
Let j = -2/323 + -1274/2907. Let g = 73969/12 - 6165. Find the common denominator of j and g.
36
Let i = 197/336 - 5941/1680. Let z = 48257/28 + -1722. Calculate the common denominator of z and i.
140
Let m = -1063 + 10577/10. What is the common denominator of m and 79/1270?
1270
Let t = -271655/11 - -24677. Let p = 7412/385 + t. Find the common denominator of p and 64/35.
35
Let q = 250114477/2660 + -94028. Let a be (-69116)/55*3/2128. Let t = q + a. Find the common denominator of -71/10 and t.
110
Let g(d) = d - 6. Let t be g(9). Suppose -4*f + 4 = k - f, -t*k + 5*f - 30 = 0. What is the lowest common multiple of (k - -4)*-1 - (-1 + -13) and 6?
30
Suppose 55*a + 5*t - 336 = 54*a, a + 3*t - 324 = 0. What is the smallest common multiple of 27 and a?
918
Let c(z) = 2*z + 31. Let k be c(-15). Suppose -n + k = -o, o + 3*o = -2*n + 14. Suppose 0 = -4*b + b + n. What is the smallest common multiple of b and 2?
2
Suppose 0 = o + 3*l - 7, -o - 52 = 3*o - 4*l. Let q(t) = -t + 7. What is the least common multiple of q(o) and ((-216)/(-180))/(2/40)?
120
Let a(w) = -44*w**3 - w + 2. Let x be a(1). Let y = 37 + x. Let q(j) = -j**2 - 9*j + 2. Calculate the smallest common multiple of 18 and q(y).
180
Let u = -22278 - -668263/30. What is the common denominator of 1/205 and u?
1230
Suppose -4*p = -2*x - 100, -x = -3*p + 2*x + 72. Suppose -18*u + p = -16*u. Suppose -10*o - 33 = -u*o. What is the lowest common multiple of 10 and o?
110
Let z = 484 - 481. Let v = -45 - -69. What is the least common multiple of z and v?
24
Let s(y) = -8*y**2 - 24*y + 168. Let c be s(6). Calculate the common denominator of -37/177 and (-8)/33*(2 + c/32).
1947
Let u = 122536680223/98 - 1250429772. Let w = u + 55483. What is the common denominator of -1/14 and w?
98
Let v(d) = d**2 + 27*d + 129. Let h(y) = 6*y + 26. Let a(z) = -11*h(z) + 2*v(z). What is the smallest common multiple of 14 and a(8)?
28
Suppose -v - 3*y + 18 = 0, 3*v - 5*v = -3*y - 18. Calculate the smallest common multiple of (-147)/(-14) + (-18)/v and (-2)/(-3)*6/4.
9
Suppose 6*x + 380 = 4*o + 11*x, -212 = -2*o + 3*x. What is the least common multiple of o and 2/(-16) - 25388/(-352)?
1800
Let p(t) = t**3 - 28*t**2 + 9*t + 588. What is the lowest common multiple of p(27) and 102?
102
Let o = 16/1059 - 56383/16944. Calculate the common denominator of (-177)/(-238) - (0 + 1) and o.
1904
Calculate the common denominator of -47/2046 and (-1328*(-68)/(-71808))/((-1)/(-2) + 0).
2046
Let g = 10265/28 - 1241861/3388. Calculate the common denominator of -4/7 and g.
847
Let f = -37217/42510 + 9/545. Find the common denominator of 271/30 + (4 - 7) and f.
390
Let o(k) = k**3 + 10*k**2 - 19*k - 62. Suppose -32 = 3*z - 0*z - r, 0 = -2*z + 5*r - 17. What is the smallest common multiple of o(z) and 12?
156
Suppose 25*y - y + 16080 = 0. Find the common denominator of -52/5 and (-177)/y + (-50)/(-125).
670
Let h be -3*(-14)/9*-3. Let p be (-7)/h + 0 + (-107)/(-50). Let m = p + -1409/600. What is the common denominator of -15/16 and m?
48
Suppose -18*p = 4411 - 217. Let t = -137 - p. What is the smallest common multiple of 27 and t?
864
Find the common denominator of (-2397 - -2277)*(37/35 + -1) and -3/8591.
60137
Let q = -31815/83 + 2928173/581. Let p = -4664 + q. Calculate the common denominator of 185/18 - 8 - 6/4 and p.
63
Suppose 1771*s - 1748*s - 4784 = 0. Calculate the smallest common multiple of s and 54.
5616
Let g = 260270394 + -10930266563/42. Let x = -25955 + g. Find the common denominator of 37/42 and x.
42
Let f(i) = 5*i**3 - 5*i + 57. Calculate the smallest common multiple of 2044 and f(5).
18396
Suppose -3*i = 3*c - 396, 7*i = -4*c + 2*i + 527. Calculate the least common multiple of 6/10 + ((-396)/45)/(-2) and c.
665
What is the common denominator of ((-1235)/242814)/((-8)/(-6)) and 123/20?
124520
Suppose -167*o = -161*o - 18. Calculate the common denominator of 31/107 and o.
107
Let f be (-13)/(-3) + (-14)/42. Suppose 2*t - 4*t + 27 = -k, -f*k = 3*t - 46. Calculate the least common multiple of t and 14.
14
Find the common denominator of 2/7 + (-84609)/66150 and -99/190.
2850
Let m = -105/386 + 152223/1930. Let t = 2866/35 - m. What is the common denominator of t and -23/249?
1743
Suppose k - 10*k - 306 = 0. Let o = 50 - k. Suppose -2*b - 2*b - 4*i = -76, b + 3*i = 13. What is the smallest common multiple of b and o?
924
Let a = 272375/27 - 10086. Let l = 141137/463638 - 8/4731. Find the common denominator of l and a.
2646
Suppose 2*v = t + 1340, 4*t - 1481 = -2*v - 111. Calculate the least common multiple of v and 4.
2692
Suppose -1607 = -n - 3*g, 2*g = -2*n + g + 3239. Let q = -19495/12 + n. Calculate the common denominator of q and -1/40.
120
Suppose 227 + 81 = 4*b. Let r = 40 + 16. Calculate the smallest common multiple of r and b.
616
Suppose 6 = f - 30. What is the least common multiple of f and 66/9 + (-1390)/417?
36
Let s be ((-2)/14)/((-7)/(-27251)). Let y = -561 - s. Calculate the common denominator of 4/2 + (-147)/168 and y.
56
Calculate the common denominator of (856/(-8352))/(1/2) and 121/174.
522
Let w be (-4)/(-18) - (20/(-45))/(-2). Suppose w = -k + 24 - 18. Suppose 3*o - 3*v - 54 = 0, -o - v + k = -12. What is the smallest common multiple of 30 and o?
90
Let r(b) = b**2 + 10*b + 11. Let q be r(-6). Let c be 1 + (-24)/(-20) + (-4)/20. What is the common denominator of 23/c + q + 15 and 79/10?
10
Let j(z) = -61*z + 1225. Calculate the smallest common multiple of 108 and j(13).
432
Let d = 148931/3 - 49643. What is the common denominator of d and 3 + 3/(18/(-4))?
3
Let q = -3109260339484 - -2093769694090938119/673398. Let m = -1/30609 - q. Find the common denominator of 53/50 and m.
550
Suppose 11*u + 196 = 11*u + 2*u. Calculate the smallest common multiple of u and 168.
1176
Suppose 3*b = -5*t + 2706, -t + 6*b + 12 + 483 = 0. Calculate the least common multiple of 33 and t.
5907
Let r = -423 - -423. Suppose -3*f = 2*g + 50 - 180, r = -5*g + 4*f + 348. Calculate the lowest common multiple of g and 32.
544
Let q be ((-2)/(-4))/((-3)/(-1932)). Suppose 19*u + 4*u - q = 0. What is the smallest common multiple of 10 and u?
70
Suppose 64*a + 672 = 76*a. What is the smallest common multiple of a and 7?
56
Suppose 1099*b - 525 + 1725 = 1104*b. Calculate the smallest common multiple of b and 5.
240
Suppose -962 = -5*r - 2*f, r + 29*f - 194 = 27*f. Calculate the lowest common multiple of r and 66.
2112
Suppose -9 = -3*i, i = -7*p + 8*p - 7. Suppose -c = p*c + 66. Find the common denominator of -33/20 and ((-5)/(400/c))/((-12)/(-490)).
80
Let p be (-4 + 6)*(-1 - 15). Let n = 985 - 21689/22. What is the common denominator of n and ((-2)/p)/((-2)/(-108))?
88
Let r(d) = -d**2 - 36*d - 55. Let f be r(-36). Let m be (-15)/3*33/(-5). What is the lowest common multiple of 10 and (-10)/f - (-192)/m?
30
Let k = 82442357/1490592070 - 1/832733. What is the common denominator of 99/20 and