he common denominator of (0 - (-2)/(-32))/((1680/(-938))/12) and -55/448.
2240
Let v = -1859532169982999443/619718 - -3000610229146. Let c = 1/28169 + v. Calculate the common denominator of c and -11/246.
2706
Suppose 0 = -5*p - 3*n + 211, p + n + 1 = 42. Suppose -g - 4 = -6. Suppose -5*h = a + 3, 2*h + 66 = g*a + 3*a. Calculate the least common multiple of p and a.
132
Suppose 5*v - 16*v = -605. Let l = v + -53. Calculate the smallest common multiple of 27 and -7 + 5 - (-13 + l - 0).
27
Suppose 135*t - 756 = 144*t. What is the smallest common multiple of (135/(-10) + -4)*t/49 and 70?
210
Let s = 4687 + -14114/3. What is the common denominator of -107/6 and s?
6
Let i be -7 - (-456)/60 - 4214/(-10). Find the common denominator of 75/8 and (-10)/(-25) - i/(-1920).
192
Let r(m) = -21*m - 74. Let j be r(-3). Find the common denominator of j/((-7)/(84/(-20))) and 1/317.
1585
Let i be 3 + -2 + 115 - (3 - 4). Suppose -72 - i = -9*y. Let t(r) = -19*r - 1. Calculate the smallest common multiple of t(-1) and y.
126
Let a(u) = u**2 + u - 5. Let q be a(-2). Let w be q - (2 + 6/(-3)). Calculate the least common multiple of 1/w + (-100)/(-3) and 21.
231
Let a = 1/6637 + 305293/59733. Calculate the common denominator of -29/1268 and a.
11412
Let c = 9 + -8. Suppose q + c = 5*d, d - 6 = -d. Let a(p) = -p + 6. What is the lowest common multiple of q and a(-4)?
70
Let x(g) = g**3 - 21*g**2 + 24*g - 78. Let u be x(21). What is the common denominator of -139/72 and (u/81)/((-3 + 5)/1)?
216
Let z be (-2)/9 - 44/(-36). Suppose 4*q + 14 = 5*p, -3*q = 15 - 12. Suppose f - 34 = -3*o, -5*f = p*o - 13 - z. What is the least common multiple of 20 and o?
60
Let w = -92995507/414 - -224627. What is the common denominator of 51/368 and w?
3312
Let q(f) = -f**2 - 34*f + 338. Let a be q(-42). Find the common denominator of 26/(-88) - (a + 176/(-64)) and -1 + 113/14 - 2.
154
Let y = 16 + -14. Suppose q = 5*a - 0*q + 13, -y*q = 5*a + 19. What is the smallest common multiple of 4 - (a + 1 + -6) and 2?
12
Let c(q) = q**2 + q - 9. Suppose 20 = 4*f - 44. Suppose 4*k + 0*a + 4 = 5*a, -4*a - f = 0. What is the least common multiple of c(k) and 3?
21
Suppose r + 7 = 3*j - 3, 2*r = -j + 1. Suppose -k - 10 = -j*h, -4*k - 4 = 4*h - k. Let m(c) = -7*c + 38. Calculate the least common multiple of m(2) and h.
24
Let z(y) = -2*y - 25. Let r be z(-11). Let a be -4 + (6 - r)*-6. Calculate the smallest common multiple of 10 and 63/189 + (0 - a/6).
10
Suppose -3*g = -3*f - 6399, 10*g = 9*g - 7*f + 2109. What is the least common multiple of g and 497?
14910
Suppose 4*p = 5*u - 4 - 17, 6 = u + p. Suppose -71 = -u*i + 64. Let t(a) = -32*a - 465. Calculate the least common multiple of i and t(-15).
135
Let f(v) = 32*v + 6. Let n be f(-10). Let g = n + 1543/5. Calculate the common denominator of -76/9 and g.
45
Let z(k) = -31*k + 956. What is the smallest common multiple of z(30) and 298?
3874
Suppose -11*s + 18 = -15. Suppose -w + s*n - 2*n = -31, -n + 23 = w. What is the smallest common multiple of w and 39?
351
Let g be 1416217/(-132) - -7 - -3*1. Let y = g - -10712. Calculate the common denominator of (-2)/(-4) + 57/(-60) and y.
60
Let r = -191969376/1921 - -99932. Let s = -61428/21131 + r. What is the common denominator of s and 5/6?
66
Let n(w) = 30*w**2 + 330*w - 336. Suppose -q + 6 = 1, -2*q = 3*g - 82. Calculate the least common multiple of n(-12) and g.
24
Let i = -25550/13 - -1967. Let y = -6162/7 - -877. Calculate the common denominator of i and y.
91
Let l = 3381 + -3339. Calculate the least common multiple of l and 238.
714
What is the common denominator of 119/36 and (-18645)/280692*2/3?
2484
Let h = -187336 + 126264497/674. Calculate the common denominator of -61/16 and h.
5392
Let u = 1213 + -1216. Find the common denominator of 141*(-4)/96 - u and (-1)/(-4) - (-67)/(-6).
24
Suppose -6270 = 26*r - 59*r. What is the lowest common multiple of 20 and r?
380
Suppose 24 = 2*y - 2*z + 22, 0 = -4*y - 3*z - 24. What is the least common multiple of ((-2)/y)/(6/1404) and 16?
624
Let t = -231917/12 + 19337. What is the common denominator of -79/132 and t?
132
Let y = 2377 - 1625. Calculate the least common multiple of y and 235.
3760
Let k = 264 - 132. Let i = k + -127. Suppose 2*q - i*y + 12 = 0, 2*q + 2*q + 4 = 5*y. What is the least common multiple of 5 and q?
20
Suppose 17*y = -1174 + 358. Let q(s) = -71*s + 1. Let v be q(-1). Let p = v + y. What is the lowest common multiple of p and 12?
24
Let m(i) = -134*i - 5772. Calculate the smallest common multiple of m(-65) and 1808.
23504
Suppose -18*x + 197 = -451. Let t = 66 - x. What is the lowest common multiple of (3 - -3)/((-1)/(-2)) and t?
60
What is the common denominator of 75/712 and (-1247)/252*-2 + -3 - (-394)/(-1379)?
6408
Suppose 0 = -5*g + 3*x + 176, 4*g - 146 = 5*x - 0*x. Find the common denominator of g/15 - 19/19 and 101/18.
90
Calculate the least common multiple of (60/16)/(2/48) and -6*(-18)/(-36)*10*(-7)/3.
630
Let w = -12955/606 + -46/101. Let b be ((-144)/10)/4*5. Calculate the common denominator of w and 3/(-28)*(-484)/b.
42
Let l be 2/((-2 + 0)*17/(-153)). Find the common denominator of -107/10 and -3 + l - 804/200.
50
Let j(s) be the second derivative of 16*s - 7/2*s**2 + 7/6*s**3 + 0 + 1/20*s**5 + 5/6*s**4. Calculate the least common multiple of 66 and j(-9).
66
Let n be (-4)/(-20)*(-43839215)/1166. Let v be (-1)/(-6) - 45131/(-6). Let c = v + n. What is the common denominator of -103/18 and c?
198
Let p(c) be the first derivative of -3*c**2 + 10*c + 48. Let v be p(-1). Suppose -11*m + v = -9*m. Calculate the smallest common multiple of m and 4.
8
Let u(q) = -3*q - 1. What is the smallest common multiple of u(-4) and -1 - 36/(-44) - (-230)/55?
44
Let u = -484 + 1298. Let q be 6479/u + 2/6. Let h = q - 54/37. Find the common denominator of -33/26 and h.
78
Let m = -30/91361 + -2693602/700282065. Find the common denominator of m and -43/15.
7665
Suppose -2*u = -4*u - 56. What is the smallest common multiple of u/182 - 158/(-13) and 32?
96
Let r(l) = -7*l + 23. Let g be r(-3). Find the common denominator of (-14)/g*-6*35/(-45) and -92/15.
165
Let n(z) = -5*z - 10. Let p be n(-3). Suppose -56 = -p*r + 9. Suppose -8*s = -r*s + 100. What is the least common multiple of 10 and s?
20
Let n = 1975/24 + -599/8. Find the common denominator of n and (-4)/(-10) + 1736/385.
132
Calculate the common denominator of -80/1599 and 2*12/60 - 782/1230.
1599
Let q = 9477 - 8602. What is the least common multiple of 500 and q?
3500
What is the common denominator of 20/130 - 5*(-3254)/(-86320) and -54/1909?
15272
Let m(v) = 4*v - 4. Let i be 4*(-6)/((-96)/28). Let l be m(i). What is the common denominator of ((-20)/42)/(l/(-182)) and -133/12?
36
Calculate the common denominator of 67/180 and 558/(-2728)*(-78)/45.
1980
Suppose -14 = 5*z + 2*o + 2406, -5*z + o - 2435 = 0. What is the common denominator of -2 + -3 + (-6)/(z/255) and 57/7?
189
Suppose -10*f + 24 = -6*f. Let p = 36265/22 + -1648. Calculate the common denominator of p and 24/(-3) + f - (-97)/14.
154
Let b = 6433 - 6421. What is the lowest common multiple of b and 222?
444
Let s(b) = 23*b**2 - 368*b + 10. What is the lowest common multiple of 11300 and s(16)?
11300
Let r = 125 + -116. Suppose 0 = -3*t - r*t - 72. What is the common denominator of 4/t + (11/9 - 5) and -109/6?
18
Let v = -35747 - -3431627/96. What is the common denominator of v and 83/648?
2592
Calculate the least common multiple of 391 and 0 + 3/7 - (-23)/((-1771)/(-6512)).
1955
Let y(z) = -12*z + 35. Let q be y(2). Calculate the common denominator of q + -16 + 768/195 and 107/78.
390
Let l = 1810 - 1781. Suppose g + 1 = 24. Suppose -2*u + 23 = 6*f - f, f = -5*u + g. What is the lowest common multiple of f and l?
87
Let k(x) = x**3 + x**2 + x - 12. Let g be (-7)/14 + 1/2. Let s be k(g). What is the common denominator of ((-10)/s)/(4/68) and 35/36?
36
Let n = -32 - -42. Suppose 0 = -5*h + n + 15. Calculate the least common multiple of 20 and (-8)/6*(h - (-75)/(-6)).
20
Let r(l) = -4*l + 5. Let m be r(-4). Suppose -x + m - 10 = 0. Suppose -11*s = -4*s - 49. What is the least common multiple of x and s?
77
Suppose -4*c = 12480 - 12876. What is the smallest common multiple of c and 27?
297
Let l = -1/9668 + 38721/4737