and z.
72
Calculate the common denominator of -21/332 and 2494/332 - 8/(-40)*-40.
332
Let i be ((-442)/(-186) - 2) + (-92)/138. Let y = -281/434 - i. What is the common denominator of -31/54 and y?
378
Let i be ((-10197)/(-5082))/(4/66878). Let l = 33546 - i. What is the common denominator of l and 77/76?
836
Suppose -2*s - 2*s + 5*i - 635 = 0, 2*i + 2 = 0. Let n = s - -162. Calculate the smallest common multiple of n and 134.
134
Suppose 4*j = 3*g + 83, 22*g + 5*j - 130 = 27*g. Find the common denominator of (-14)/g + 129/(-198) and -49/30.
330
Let c = -131 + 100. Let b be 6 + c/(-11) + (-2)/(-11). Let j = 18 - b. Calculate the smallest common multiple of 3 and j.
9
Calculate the smallest common multiple of 1215 and 2170/217*810/4.
6075
Calculate the lowest common multiple of 4432 and 5/1 - ((-110)/11 - -10) - 3.
4432
Suppose 2*r - v = 29, -4*r - 3*v = 17 - 70. Calculate the smallest common multiple of r and ((-15)/(-9))/(-1)*108/(-10).
126
Find the common denominator of (-6)/(-1) + (17110/(-48))/29 and 58/(-56) - 4/(-14).
24
Let m = 31637/976560 - -12/1565. What is the common denominator of m and -5/624?
624
Suppose 19*k = -22*k + 82. Suppose 0 = -g - 3*g + k*l + 68, -70 = -4*g + l. What is the lowest common multiple of 156 and g?
468
Let l be (-16)/40 - (-1164)/(-15). Let x = l + 88. Calculate the lowest common multiple of 22 and x.
110
Let u(f) = -227*f**2 - 2*f + 2. Let x be u(1). Let g be (-2)/(-10) + 2798/(-120)*x. Let c = g - 5290. Calculate the common denominator of -77/4 and c.
12
What is the least common multiple of 7776 and 14/(-329) - 40352/(-611)?
85536
Let c = 535817/120 + -4465. Find the common denominator of c and -101/600.
600
Suppose 0 = -0*c + 11*c + 3190. Calculate the smallest common multiple of 7/(-28) - 1/(8/c) and 9.
36
Let u be ((-24)/(-40))/(4/(-480)*-4). Suppose -1636 = u*w - 4804. What is the smallest common multiple of w and 4?
176
Let r = 71 - 47. Calculate the smallest common multiple of 8/((2 - (1 + 5))/(-9)) and r.
72
Suppose -5*n - s = 4*s - 130, -2*n - 5*s = -52. Suppose -10*u + n*u - 2912 = 0. What is the least common multiple of 2 and u?
182
Let v = -174 + 175. What is the smallest common multiple of (-2 + 1)*-1 - -20 and ((-16)/(-12))/(v*(-6)/(-27))?
42
Let d(s) = -26*s + 36. Let x(m) = -2*m - 1. Let f(k) = d(k) - 10*x(k). What is the least common multiple of f(4) and 8?
88
Let m be 2/6 - 17/(-3). Let g(u) = -u**3 + 4*u**2 + 14*u - 4. Let d be g(m). Find the common denominator of (1/(-10))/(d/224) and -37/5.
5
What is the common denominator of (6 - 10/5) + (-125996)/29640 and -139/42?
3990
Calculate the smallest common multiple of 628 and ((-1 + -3)/(-1))/((-36)/(-180)).
3140
Let r = 1135441/40 - 28388. What is the common denominator of (3/((-18)/(-22)))/10 and r?
120
What is the common denominator of -6 + 11/1 - (-14)/112 and -36/389?
3112
Let c = -12729 + 13093. Calculate the least common multiple of c and 7.
364
What is the common denominator of -1/4 and (-10 - 1089/(-109))*(0 + 55/(-3))?
1308
Let i(r) = 9*r**2 - 5*r - 15. Let q be i(-3). Let x = -76 + q. Suppose -x*k + 20 = -0. Calculate the smallest common multiple of 11 and k.
44
Suppose 5*h - 22 = 3*w + 40, w - 16 = -2*h. Calculate the common denominator of (-31)/33*12*h/40 and (-4)/10 + 419/10.
22
What is the common denominator of 11403/(-1458) + -2 - -9 and -77/645?
34830
Let z be -12*(-6)/6*(7 - 1). Suppose h + z = 13*h. What is the least common multiple of (-12)/(1/(-2) - 1) and h?
24
What is the common denominator of -1/595 and (8290/1260 - 6) + (-7)/14?
5355
Let t = -433/15 + 158/15. Find the common denominator of 13/114 and t.
114
Let t = -2912 + 3637. What is the lowest common multiple of 1450 and t?
1450
Suppose -7*k + 103*k - 88464 = -k. What is the lowest common multiple of k and 14?
6384
Let g = -1190699/112 - -10632. Calculate the common denominator of g and 7/44.
1232
Let o(s) = 2*s**2 + 11*s - 105. Suppose 3*c = -15, -c = 2*k + 2*c - 29. Calculate the smallest common multiple of o(-11) and k.
176
Let b = 61/819 - -5/63. Let f = -829/65 + b. Calculate the common denominator of (-1 + 2/4)*-7 and f.
10
Let v = 215/66 - 49/6. Let x = -6946556281162/1315060546345 + 6/213241535. Let q = x - 3/881. Calculate the common denominator of v and q.
77
Let m(y) = -y**3 + 7*y**2 + 3*y - 59. Let o be m(6). Find the common denominator of o/(-7)*(-4 - 246/(-72)) and 55/28.
84
Suppose 4*l + m - 25 = 0, 3*l = -76*m + 72*m + 35. Calculate the lowest common multiple of l and 274.
1370
Let g(c) = c**2 - 5*c + 3. Let k = -3 - -9. Let b be g(k). Suppose 108 = b*m - 6*m. Calculate the smallest common multiple of 6 and m.
36
Suppose x + j - 6 = 2, 3*x - 2*j = 9. Suppose -8 - 2 = -x*z. Calculate the lowest common multiple of 6 and 2 + (-7 - -4) + 4/z.
6
Suppose -10*v = -3*v - 14. Suppose 0 = -v*k - 34. Let p = 29 + k. What is the lowest common multiple of p and 27?
108
Let p = 8151 + -456415/56. Calculate the common denominator of p and 37/21.
168
Suppose 5*c - 128 + 13 = 5*f, 0 = -4*c + 2*f + 86. Calculate the least common multiple of (2 + 4/(-3))*36 and c.
120
What is the common denominator of ((-3621)/(-3150))/17 + 4/14 and -125/216?
5400
Suppose -3*v + 32 - 272 = 0. Suppose 3*n + 4*d = -14 - 10, -3*d + 45 = -3*n. Calculate the common denominator of n/16 - 484/v and -43/11.
110
Let g = 106564817/490 - 217479. Find the common denominator of g and 111/490.
490
What is the common denominator of ((-4484)/(-2736))/((-51)/9) and -45/28?
1428
Calculate the common denominator of 600831/154904 - (4 - (-1 - -1)) and 73/64.
4288
Suppose 32*s + 9984 = -20*s. Let q be 5/(-2) + 2/4. Calculate the smallest common multiple of q/(-7) - s/112 and 20.
20
Let o(m) = 224*m**3. Let l be o(1). Let j = -29/185 - 2043/185. Calculate the common denominator of l/(-190) - 10/25 and j.
95
Suppose u + 1 = 0, -8*j + 5*u + 1175 = -3*j. Let s = -214 + j. Calculate the least common multiple of 30 and s.
60
Suppose 0 = -43*v - 0*v + 1075. Suppose 3960 = v*q + 30*q. What is the lowest common multiple of 20 and q?
360
Let z = 631753855735/100548987 - 1/18281634. Let p = 6287 - z. Find the common denominator of 65/14 and p.
154
Suppose 2*i - 2 = 30. Suppose 5*a = 4 - 9, -5*a - 15 = -5*q. What is the least common multiple of i and q?
16
Suppose -143*w + 18 = -137*w. Let o(y) = 5*y**2 + 16*y - 37. Calculate the least common multiple of 4 and o(w).
56
Let z(h) = -h**2 + 2*h + 4. Let l = -48 - -48. Let d be z(l). Suppose 3*t - 13 = d*m - 70, -70 = -5*m + 4*t. What is the least common multiple of m and 18?
18
Let q = -452098 + 1338662207/2961. What is the common denominator of q and -25/611?
38493
What is the common denominator of 62/561 and 3692/(-143)*(-7)/35*15/144?
2244
Suppose b - 541 = -4*n, 5*b - 51 = -3*n + 359. Let r = -134 + n. What is the lowest common multiple of 6 and r?
6
Let l(c) = -5*c**3 - 5*c**2 - 36*c - 15. Let i be l(16). Let b = i + 491831/22. Find the common denominator of b and 74/(-40) + 10/(-40).
110
Let s = 5987 + -5144. What is the lowest common multiple of 33 and s?
9273
What is the common denominator of (-254867)/17422 - (-32)/2 and -29/600?
18600
Let t be (-3)/(-9)*-4 - 3/(-9). Let k be ((16/20)/t)/((-1)/70). Suppose -2*o + k = 5*p, -2*p + 27 = o + p. What is the lowest common multiple of o and 27?
297
Let v = 15683 + -13219. Calculate the least common multiple of v and 8.
2464
Suppose -5*k - 37*a = -34*a - 30309, 5*k = -4*a + 30307. Calculate the common denominator of (k/1986 - 3)/(-1) and 83/12.
3972
Suppose 1082 - 62 = 11*g - 3116. What is the lowest common multiple of g and 152?
7144
Let u(l) = -l**3 + 10*l - 15. Let z be u(2). What is the common denominator of 86/11*z/(-48) and -81/32?
352
Let b be -2 - 1 - 27/(-9). Suppose b = 18*m - 12*m - 24. What is the smallest common multiple of m and 5?
20
Let q = 3087 + -2799. Calculate the least common multiple of q and 72.
288
Let l be 8/20 - 346/(-10). Suppose 0 = 2*y + l - 47. What is the least common multiple of y and 67?
402
Suppose 4*m + 289 + 1611 = 2*b, 0 = 4*b - 2*m - 3800. What is the least common multiple of b and 950?
950
Let y be (254/2 - 2) + (61 - 56). Calculate the common denominator of -58/9 and (-162)/(-1125)*y/(-8).
450
Let w be (-104)/28 + -4*(-4)/(-56). What is the smallest common multiple of ((-10