2040
Find the common denominator of 169/60 and ((-3)/(-1256))/(49376/1152 + -43).
9420
Let j = -74/11 + 725/44. Find the common denominator of -45/506 and j.
1012
Find the common denominator of ((-51)/(-13) + 45 + -49)/(-15) and -31/819.
4095
Let f = -3733 - -3745. Calculate the lowest common multiple of 62 and f.
372
Let k be (240/200)/((-4)/((-80)/6)). What is the common denominator of -59/80 and (-358)/48 + 7/(14/k)?
240
Let q = -10 + 17. Let v be (-185)/7 - 12/(-28). Let u = 79 + v. Calculate the lowest common multiple of u and q.
371
What is the least common multiple of 12/96 - (-3597)/24 and (-42)/(-15)*(-7 - -3 - -9)?
1050
Let x = 1050 + -1048. Find the common denominator of (-3)/((-540)/70) - x and 166/(-40) - (1 - 0).
180
Let k = -608 + 928. Suppose -5 = 2*g - 29. What is the smallest common multiple of g and 3*(k/(-12))/(-8)?
60
Let l = 379/2 + -17427/92. Calculate the common denominator of l and 11/34.
1564
Suppose 4*y = 5*y + o - 1384, 3*y - 3*o - 4128 = 0. Suppose 0 = -32*m + 2*m - y. Calculate the common denominator of 2/11 and m.
11
Let g(w) = 546*w**2 + 6*w + 1. Calculate the smallest common multiple of 316 and g(1).
2212
Suppose -3*s = -5*j - 184, 2*s - 4*j - j = 126. Let d = -19 + s. Let k = 53 - d. Calculate the lowest common multiple of k and 6.
42
Let a = 156 - 235. Let q = 95 + a. Suppose q = 2*w - 4. Calculate the least common multiple of 14 and w.
70
Suppose -2*t + 716 = w, -1428 = -4*t + 109*w - 112*w. What is the lowest common multiple of t and 205?
14760
Let m = -19621/4 + 4896. What is the common denominator of m and -37/676?
676
Let n = -5235881 - -78699011/15. Let g = -10726 + n. Calculate the common denominator of g and -34/27.
135
Let i be (210/63)/(-1 - -3)*87. What is the common denominator of -1 - (2 - 65/(-2)) and 8/2 + -4 + i/(-6)?
6
Let x be 141/(-2)*52/(-6). Let w = x + -5738. Let f = 123133/24 + w. What is the common denominator of f and 101/22?
264
Let s(g) = 70*g - 110. Let i be s(-20). Let w = 52854/35 + i. What is the common denominator of w and 25?
35
Calculate the common denominator of 37/((-37)/(-21))*4/(-64) and -57/824.
1648
Suppose 5*g = 4*z - 12 + 41, 2*g + 3*z = 7. Suppose 4*k = -4*q + 96, 2*q - 3*q = g*k - 140. What is the least common multiple of k and 14?
406
Suppose -7*g - 16 = -3*g. Calculate the common denominator of 61/3 and (-162)/22 + (0 - g).
33
Let j be 3 - (2/(-6) + 70/21). Suppose -4*o - 24 = -2*s, j*o - 15 = 5*o. Suppose -8 = 3*r - 62. Calculate the lowest common multiple of r and s.
18
Let y = -527 - -978. Let u = -1737/4 + y. Calculate the common denominator of u and -31/16.
16
Let u(r) = 17*r + 2003. What is the lowest common multiple of 90 and u(-85)?
2790
Let r = 70 + -45. What is the smallest common multiple of r and 1485?
7425
Let a = 97 + -93. Suppose 0*z = -a*n + 5*z - 45, 4*n = 4*z - 44. Calculate the lowest common multiple of 36 and -3*(4/n)/((-12)/(-120)).
36
Suppose -11 - 187 = -11*v. Calculate the smallest common multiple of v and 1136.
10224
Calculate the lowest common multiple of (-710)/142 + ((-504)/3)/(-3) and 153.
153
Let i be 0/(-1)*((-15)/9 - -2). Suppose i*s = 6*s - s. Suppose 4*q + s*q - 132 = 0. Calculate the smallest common multiple of q and 18.
198
Suppose 109*n = 132*n - 8349. Calculate the lowest common multiple of 1947 and n.
21417
Let v be (410/(-2))/5 - 3. What is the least common multiple of 14 and v*((-4)/4 + -1)?
616
Let f = 7774/7 - 2215/2. What is the common denominator of 67/70 and f?
70
Let j be ((-52104)/(-480))/((-6)/124). Let n = 2244 + j. What is the common denominator of 56/9 and n?
90
Calculate the common denominator of -38/273 and (-224)/84*((-1195)/390 + 3).
819
Find the common denominator of 96/(-164)*(-7)/(-28) and -68/65.
2665
Calculate the common denominator of 23/8 and 4/(-10) - ((-2316)/532200)/((-27)/(-2385)).
21288
Let y be (18/6)/(-1) + 2378. Let m = y - 23777/10. Let c = -1201 + 2351/2. Calculate the common denominator of m and c.
10
Suppose 2*a = -4*j - 26, -a - 5*j = -4*j + 17. Let r be (4/a)/(1880/12) + 0. Let w = r + 4287/8225. What is the common denominator of 67/8 and w?
200
Let i be (-5631)/28*172/(-6). Let f = i + -5758. Let l = 2007/848 + 176/53. Calculate the common denominator of l and f.
112
Calculate the common denominator of 1/321 and -9*(-2)/3 - -107002*(-26)/467376.
1284
Suppose -3 - 9 = -4*j. Suppose -4*y + 6 = -j*y. Suppose 5*d - 88 = d. Calculate the least common multiple of d and y.
66
Let n(j) = 12*j**2 - 120*j + 10. Let u be n(10). Suppose 120 = u*p + 20. What is the lowest common multiple of 546 and p?
2730
Let n = 27297 - 1091787/40. Find the common denominator of n and (-22311)/(-402)*((-1 - -2)/30)/1.
40
Let k be -10781*6/21558 + (-1 - -4). Let o = 190447/32337 + k. Find the common denominator of (-15)/(-4) - 6/(-15) and o.
180
Let k(q) = -119*q - 8174. Calculate the lowest common multiple of 22 and k(-98).
38368
Let n(o) = 3*o**3 - 5*o**2 + 2*o - 20. Let d be n(5). Suppose 30*t = 6*t + d. What is the least common multiple of 26 and t?
130
Let m(x) = x**2 - 13*x + 20. Let i be m(5). Calculate the least common multiple of (-2756)/i + (-9)/(-45) and 12.
276
Let y be (6/247)/(6/124). Let r = 3105278879/3327090 + -416850/449. Let x = r - y. Find the common denominator of 89/18 and x.
90
Let d = 298301/18 - 16578. Calculate the common denominator of d and (-15)/(-12)*5324/(-990).
18
Suppose -143*h + 156*h - 130 = 0. Calculate the lowest common multiple of h and 1051.
10510
Suppose 3*y = -3*a + 11565, -a - 6*a = -3*y - 27045. What is the smallest common multiple of 2145 and a?
19305
Find the common denominator of 54/((-18382)/(-42) + -3) and 6/163.
652
Find the common denominator of 107/20 and (-47)/14*2310/(-5280).
160
Let j = -25/1559 - 158727/115366. What is the common denominator of -29/296 and j?
296
Suppose 3*r - 998 = -74. What is the common denominator of 1/7 and 54/297 + 1770/r?
14
Suppose 2*v + 4*h = 16, 3*v = -3*h + 7 + 26. Suppose -7*k + v*k = -7. Calculate the lowest common multiple of 13 and k/((3/8)/(-3)).
104
Let g = 1630/53 + -116803/3710. Find the common denominator of g and 25/756.
3780
Let x = 40381 + -3432451/85. Let y = -10511/510 - x. Calculate the common denominator of -25/142 and y.
426
Let h(t) = 16*t + 28 - 11*t + 19 - t. Let f be h(-11). Suppose -3*z + 0*c - 3*c + 45 = 0, 35 = 5*z - f*c. Calculate the lowest common multiple of 28 and z.
140
Let d = -6/518501 - 1817853/2074004. Let w = d + -10/249. What is the common denominator of 27/7 and w?
84
Let k(r) = 11*r + 99. Let y be k(-7). Let s be 13 + 1/(2/(-4)). Let a = s + y. What is the least common multiple of 21 and a?
231
Let l(i) = -4*i**2 + 6*i + 40. Let j be l(-4). Calculate the common denominator of 6 - 282/48 - (-1198)/j and 83/84.
84
Suppose -360*t = -349*t - 3927. What is the least common multiple of 1683 and t?
11781
Let p(y) = y**2 + 4*y + 4. Calculate the lowest common multiple of p(6) and (-1725)/(-12) + 3 + (8 - 387/36).
576
Let o = -890 + 524. Let q = o + 16478/45. What is the common denominator of 167/30 and q?
90
Let v be 4*((-3)/(-2) + -1). Suppose -277*u = o - 272*u - 31, -5*o - u = -35. Calculate the lowest common multiple of o and 37/7 + v/(-7).
30
Let r = 8 - 14. Let p(f) = 6*f + 1. Let k(v) = -11*v - 2. Let n(m) = -k(m) - 2*p(m). What is the smallest common multiple of 24 and n(r)?
24
Let v = 2964399/21833380 + -31/46454. What is the common denominator of v and -103/564?
2820
Let a = 564 - 549. Let y(c) = -c - 1. Let f be y(-1). Suppose f = -4*p + 33 + a. What is the lowest common multiple of 24 and p?
24
Suppose 0 = 2*t - 4, -t - 7 + 0 = -3*o. Suppose 2*j + 1 = -4*i + o*j, -5*j = 4*i - 29. What is the lowest common multiple of i and 36?
36
Let c(n) = -n**3 + 28*n**2 + 60*n + 8. Let b be c(30). What is the least common multiple of 8 + (b/6 - (-100)/(-30)) and 42?
42
Let u = -38 - -43. Suppose 4*p + a - 542 = 0, -538 = -4*p - 8*a + u*a. Calculate the lowest common multiple of p and 20.
680
Let l = -3907 - -89834/23. What is the common denominator of l and 54/115?
115
Let j = -110117897 - -3302122121/30. Let g = j - -47165. What is the common denominator of g and 1/8?
120
What is the common denominator of (3933/3876)/(1 + 10) and 63/40?
7480
Let z be 4 + 0*4/(-24). Suppose 0 = -2*f - d + 28, 5*f - z*d 