Let y = 5575957/70 + -79658. What is the common denominator of y and 101/504?
2520
Suppose u - 153 + 158 = 0. Let c = u - -23. Calculate the least common multiple of c and 28.
252
Let y = -3085352335/28 - -110207536. Let t = 16378 - y. Find the common denominator of -49/52 and t.
364
Calculate the common denominator of 12/25 and 3*5/(-15)*414/6120.
1700
Let h be -5 - (6 - 1)*(-168)/30. Calculate the lowest common multiple of 14 and -28 + h - (-10 - (-6)/3).
42
Let h = 537 - 4838/9. Let i = -1687 - -9977/6. Calculate the common denominator of i and h.
18
Let p = 4537/30 - 1855/12. What is the common denominator of -101/5534 and p?
55340
Let l be 282532/(-40367) + (-1 - -8). Let k = l - 82919/3273. Calculate the common denominator of 7/(-28)*(-154)/(-18) and k.
36
Let j = 2836 - 45409/16. Let g = 18064/7 - 2587. Find the common denominator of g and j.
112
Let t(q) = 8*q**3 - 2*q**2 + 2*q + 4. Let y be t(-2). What is the common denominator of (-510)/(-100)*70/y and (-7)/(-56) + 9/(-16)?
48
Let f = -19818 - -19832. Let c be (2 - 5)*(-1 - 0). Suppose -3*k + 26 = -4*r, 24 = c*k - 5*r + 2. What is the lowest common multiple of k and f?
14
Let b = 2939 - 2323. What is the lowest common multiple of b and 560?
6160
Suppose 663*b = 643*b + 36400. Calculate the lowest common multiple of 520 and b.
3640
Let j = -2305 + 9139/4. Let v(l) = -99*l**3 - 2*l**2 - 2*l - 1. Let b be v(-1). What is the common denominator of j and 28/b - 646/(-140)?
20
Suppose 4*a = 21022 + 20794. Let w = a + -125531/12. What is the common denominator of w and 349/(-126) - (-4)/(-14)?
36
Let x = 289056899/451 + -640925. Let l = -56713/43296 - x. Find the common denominator of l and 13/16.
96
Find the common denominator of (-30)/(-165) + (2 - 587*21/7722) and -83/36.
468
Let s = 2713 - 2181251/804. Let r = 1141/1608 - s. Calculate the common denominator of r and -97/96.
96
What is the lowest common multiple of (-3 + 3/2)*-4*316/6 and 1106?
2212
Let s = -1021/2 + 10727/21. Let b = -367109/70 + 5245. Find the common denominator of b and s.
210
Let p(l) = -1595*l**2 - 3*l - 3. Let k be p(-1). Calculate the common denominator of -13/4 and k/(-924) - 3/((-18)/4).
28
Let c = -2253 - -2539. What is the lowest common multiple of c and 88?
1144
Suppose 181*z = 207*z - 24336. Calculate the least common multiple of z and 1287.
10296
Let r be -2 - ((-98)/50 + 1). Let u = -325810 - -16289277/50. Let a = u + r. Calculate the common denominator of 109/18 and a.
18
Suppose 242*p + 30757 - 126937 = 32*p. What is the smallest common multiple of 51 and p?
23358
Let p = -447 - -453. Suppose 0 = -p*u + u + 35. Calculate the lowest common multiple of u and 85.
595
Let b = -125571/19720 - 18/2465. Let k be -1*(2 + 1 + 21052). Let n = 589457/28 + k. What is the common denominator of b and n?
56
Let i(y) = y**3 - 14*y**2 + 58*y + 7. Calculate the lowest common multiple of 41 and i(7).
2870
Suppose -34 + 254 = 5*q. Suppose 31*t - q*t + 819 = 0. Calculate the smallest common multiple of t and 42.
126
Let f be 8/2 + -8 - 8. Suppose -71*q + 7 = -72*q. What is the least common multiple of 21 and (0 + q)/(4/f)?
21
Suppose 0 = -33*t + 31*t + 10. Let b be (2 - 1)*(2 + 40). Let s = b - 34. What is the least common multiple of t and s?
40
Let b = 78362582/55 - 204034066673/143220. Let x = b + -4736/31. Find the common denominator of 47/36 and x.
252
Let y = -5475647873/32 + 171099023. Let x = y - -14976. Find the common denominator of x and 2/(-8)*(-98)/10.
160
Calculate the common denominator of -17 - (-100596)/9000 - -6 and -109/30.
750
Suppose -54*s - 910 + 2854 = 0. Calculate the smallest common multiple of 840 and s.
2520
Suppose -5*d + t = -65157, -3*d = -5*t - 28859 - 10222. Calculate the lowest common multiple of 5 and d.
65160
Suppose -8*h + 66 = -30. Let y(z) = -z**3 + 56. What is the smallest common multiple of h and y(0)?
168
Let q(x) = 24*x - 150. Let a be q(23). Find the common denominator of 151/6 and (a/120 - 3)*(-38)/(-7).
30
Let c = -65383/12 + 5438. Calculate the common denominator of -83/746 and c.
4476
Let q(x) = -56*x - 7. Let p be q(5). Let k = 311 + p. What is the smallest common multiple of 42 and k?
168
Let m = 108811 + -192269032/1767. Find the common denominator of -65/42 and m.
24738
Suppose -56*i + 54*i + 2756 = 0. What is the common denominator of 53/8 and i/260 - 2/6?
120
Let q be (-4 - 16)*2/3*3. Let h be (q/6 + 2)*(-4 + -5). Calculate the least common multiple of (-3)/(h/(-88)) + (-50)/175 and 4.
12
Let g = -10346 + 10355. Calculate the smallest common multiple of g and -204*(-4 + 35/10).
306
Suppose 0 = 3*q + 5*x - 6*x + 62789, -3*q = -4*x + 62786. Let h = 3181339/152 + q. Calculate the common denominator of h and 46/19.
152
What is the least common multiple of 3812 and 9/((-10)/3*(-24)/(-32) + 4)?
11436
Let d = -5/15263 + -1662897/2350502. What is the common denominator of 18/(-3) + (16/(-16) - 794/(-112)) and d?
616
Suppose 0 = -6*x + 8 + 16. Suppose 4*i = 2*m - 1718, -10 = i + x*i. Calculate the smallest common multiple of 4/7 - m/(-133) and 63.
63
Let w = 781309805938 + -37348171345117747/47802. Let z = w + 5321/257. Let h = z + 12/31. What is the common denominator of -79/18 and h?
18
Suppose -297*f - 66 = -300*f. What is the lowest common multiple of f and 1472?
16192
Suppose 567 = 5*p + 2*p. Let j = p - 78. What is the common denominator of -41/21 and (4 - -3)*(j + 112/(-36))?
63
Let n(i) = -71*i + 1. Let m be n(1). Let v(h) = -h**3 + 21*h**2 - 27*h + 28. Let y be v(20). What is the lowest common multiple of 18 and y/140*m/4?
126
Suppose s - 479 = 3*f - 2120, -4923 = 3*s - 5*f. Let m = s + 9877/6. Find the common denominator of -49/26 and m.
78
Suppose -2*h - 3*h - 2*j + 20 = 0, -5*h + 35 = 5*j. Suppose 2*v - 3*n - 27 = -8, 0 = -v + n + 11. What is the least common multiple of v and h?
14
Suppose 7 - 25 = -3*c - 2*u, -3*u = -5*c + 11. Let g = 1 + c. Suppose 12 = -0*h + 3*h, -4*h = g*a - 96. What is the smallest common multiple of a and 24?
48
Let h(x) = 36*x + 165. Let j be h(-4). Calculate the common denominator of -5*((-18270)/(-500))/j and 67/30.
30
Let p = 133 + -136. Calculate the common denominator of (-3798)/1458 - (-3)/p*-2 and 74/3.
81
Let n = 239/12 - 134899/6756. Calculate the common denominator of n and -5/2.
1126
What is the smallest common multiple of 69 + -6 + 5 + -14 and 572?
15444
Suppose -2*m - 779 = u, -464 = 5*m - u + 1473. Find the common denominator of -65/21 and m*1/(-186) + -2.
651
Let c = 9789 - 4528. Let v be 24/(-288)*883734/14. Let m = c + v. Calculate the common denominator of 13/12 and m.
84
Let w be (-2)/(-6) + 4 + (-21)/9. Suppose -w*o + 33 = 5. Suppose 3*i - o*i + 154 = 0. Calculate the smallest common multiple of 3 and i.
42
Suppose 15 = 19*u - 14*u. Suppose -1 = -u*c + 8, -c = -n - 5. Calculate the smallest common multiple of 19 and 1 - (n + 3)*-6.
133
Let n(m) = m**2 - 16*m + 43. Let o be n(9). Calculate the lowest common multiple of 197 and 4/(-20) + 4 + o/25.
591
What is the common denominator of ((-298707)/16592 + 18)*2*(-226)/33 and 131/12?
8052
Let v = -1494 + 1782. Calculate the lowest common multiple of v and 88.
3168
Suppose -5*l = -4*t + 2*t - 19807, -t - 4*l - 9910 = 0. Let d = -99149/10 - t. Let w = 1675/1417 - -19/218. Calculate the common denominator of d and w.
130
Let b = -16577/40 + 202275/488. What is the common denominator of b and 113/2684?
13420
Let l = 33 + -39. Let o be (-1 + -8)*(-8)/l. What is the lowest common multiple of 5/((-15)/o) + 18 and 26?
286
Suppose 38*j - 45*j + 21 = -7. What is the least common multiple of j and 9864?
9864
Let j(z) = z**2 - 2*z - 1. Let d be j(3). Suppose 3*x - 122 = u + 667, 2*x = d*u + 1586. Let h = -9611/12 - u. What is the common denominator of h and 83/8?
24
Let s(m) = -m**2 - 18*m + 1. Suppose 13*h - 6*h - 539 = 0. Suppose 5*f = -h - 8. Calculate the lowest common multiple of 12 and s(f).
36
Suppose 105*t = 13*t + 736. Suppose -j = -120 + 46. Suppose -54 = -4*v + j. What is the lowest common multiple of t and v?
32
Let u(p) be the third derivative of -p**5/3 + p**4/8 + 2*p**3 - 5*p**2. Let l be u(4). What is the smallest common multiple of 18 and l/(-10) - (-4)/10?
90
Let l = -97 - -97. Let g be -1*((l - 647413/(-27)) + -2). Let n = -23979 - g. Find the common denominator of 14/