Let x = 30/283 + -20393/2830. What is the common denominator of 22/73 and x?
730
Calculate the least common multiple of (6844/(-290))/(((-4)/120)/1) and 30.
3540
Let q = -64985818 - -57707397745/888. Let a = -203/24 - q. Let z = -38781/11 - -3528. Find the common denominator of z and a.
407
Let s(g) = 6*g**2 - 1. Let q be s(-1). Find the common denominator of 37/76*(7 + q + -13) and -1/52.
988
Suppose o + 10 = 6*o. Suppose 5*m = 4*r - 17, o*m + 14 = r + 3*r. Suppose -r*w + 10 = -5. Calculate the least common multiple of 11 and w.
55
Suppose 0 = 3*y + 3*n - 132, -6*n = -4*y - 11*n + 172. Let q = 12 - -36. What is the lowest common multiple of y and q?
48
Let p = -13879/6006 + 4/3003. Find the common denominator of 3 - ((-324)/32 - -2) and p.
168
Let m(o) = -5*o + 2. Let b be (0 + -4)/(16/(-12)). Let k be (-2 - -4)*b/(-6). What is the least common multiple of m(k) and 2?
14
Let u = 31515 + -31507. Calculate the least common multiple of 6070 and u.
24280
Let v = -48839453906801/10548 + 4630209885. Let s = 2144 - 2512771/1172. Let t = v + s. Find the common denominator of -61/33 and t.
99
Let n(v) = v. Let o(b) = 60*b - 32. Let a(m) = 4*n(m) + o(m). Calculate the least common multiple of a(2) and 1.
96
What is the common denominator of (-89*3/(-3540))/((-5)/(175/14)) and -24/59?
472
Let r = -283 - -419. Suppose 0*s - r = -17*s. Calculate the smallest common multiple of (-18)/s*160/(-15) and 1.
24
Let r = -63 + 53. Let d(w) = -4*w + 113. Calculate the least common multiple of 10 and d(r).
1530
Let y = -27 + 46. Suppose 96 = -5*h - 3*j, -j = h + y + 1. What is the common denominator of (-18)/(-45)*(-69)/h and -67/10?
30
Let y = 802 - 816. Find the common denominator of 14/8*((-1360)/(-35) + y) and -15/26.
26
Suppose 4 = -10*g + 24. Suppose 0 = -4*t - 26 + g. Calculate the least common multiple of 36 and (16/(-3))/(4/t).
72
Find the common denominator of -52/651 and (-126)/(-9) + (-182)/14 + (-3736)/3906.
1953
Find the common denominator of 436/(-176) - ((-574)/56 - -12) and -143/564.
6204
Let h(n) = n**3 - 20*n**2 - 2*n + 43. Let b be h(20). Calculate the common denominator of -16 and ((-146)/b)/(12/(-9)).
2
Let r = 118793/22410 - 2/2241. Find the common denominator of r and (-58)/(-51)*(-17 + (-496)/(-32)).
170
Let s = 2114/323 + -8777121/1343680. Find the common denominator of -19/780 and s.
12480
What is the common denominator of 73/69 and -2*((-8217)/(-684) + -12)?
2622
Let r(k) = -k**3 + 7*k**2 - 6*k + 4. Suppose -3*f + 19*c + 43 = 14*c, c - 1 = 0. Calculate the least common multiple of f and r(6).
16
Let q(n) = -n**2 - 57*n + 490. Calculate the smallest common multiple of 91 and q(-56).
546
Let m = 11 + -5. Let l be (-79)/(-14)*m/(1 - -2). Let a = 851/63 - l. What is the common denominator of a and -79/4?
36
Let y be 3/(-5) - (-170)/(-50) - -7. Calculate the lowest common multiple of 110 + (-3 + 1)*y and 12.
312
Suppose -5*b + 17 = -8. Suppose -2*f = t + 95, -t + 37 = -f - b*t. Let d = -25 - f. Calculate the lowest common multiple of 33 and d.
264
Suppose -f - u = -5*u + 52, -3*f - 104 = u. Calculate the common denominator of -38/111 and f/(-99)*(8 + (-4 - -1)).
1221
Suppose 0 = -5*a + 3*a + 262. Let w = -77 + a. Find the common denominator of (-15)/w*(-24)/18 and -10/21.
189
What is the common denominator of 5 - 5/(-1)*(-2 - 20/24) and 53/275?
1650
Let v = -152462811/273091 - -1/39013. Let s = -233339/420 - v. Calculate the common denominator of 6 + -5 + 37/(-12) and s.
60
Let k(s) = 282*s**2 + 7*s + 2. Calculate the least common multiple of 6 and k(-1).
1662
Suppose 4*y + 0*y = -120. Let w(n) = n**3 + 18*n**2 - 42*n - 34. Calculate the lowest common multiple of w(-20) and (-18)/27*(y/4 + 0).
30
Let w be (7226905412850188/158506747542)/((-1)/(-3)*-4). Let a = w + -22/61579933. Let g = a - -34193. What is the common denominator of 109/20 and g?
660
Let t(g) = -111*g + 48. Let s be t(-3). Let l = s - 2201/6. Let f = 2673/10 + -1539/5. Calculate the common denominator of l and f.
6
Find the common denominator of ((-320)/(-45) + -7)/(11/24) and 19/(-76) + (-247)/60.
330
Let c = 12/19 - -438/209. Let j = 13596 + -7966. Let p = j - 140698/25. Find the common denominator of c and p.
275
Let a = 40507/1126192 - 120/1193. Find the common denominator of 67/2 and a.
944
Let f = 7 + -2. Suppose f*p + 5*c + 8290 = 0, 2*p - 4*c + 3314 = -8*c. Let x = p + 16561/10. What is the common denominator of -9/4 and x?
20
Let a(n) = 2*n - 75. Let h(w) = -5*w + 83. Let l be h(9). What is the smallest common multiple of a(l) and 29?
29
Suppose -j = -2*g - g + 447, -5*g + 745 = j. Calculate the least common multiple of g and (-1)/44*(-5412)/123.
149
Let r = -5258 - -84175/16. Calculate the common denominator of r and 71/244.
976
Let k = -8295 + 13349. Calculate the least common multiple of 20 and k.
50540
Let w = 895805/171 - 47086/9. Let z be (-282)/(-76)*(-7 + (-44)/(-6)). Let p = w - z. Find the common denominator of p and 38/3.
18
Let g(r) = -93*r - 747. Calculate the least common multiple of g(-9) and 27.
270
Suppose -35 = 5*o - 12*o. Suppose 92 = 3*r + x, x - 22 = -r + o*x. What is the smallest common multiple of 6 and r?
30
Let t(r) = 730*r**2 - 2*r. Let n be t(3). Let s = 39295/6 - n. Let x(g) = g - 46. Find the common denominator of s and x(17).
6
Let o = 3/544 + 507/544. Find the common denominator of o and -59/2078.
16624
Let y = -5517 + 5709. Calculate the least common multiple of 40 and y.
960
Let u = -179154011/1428 + 125458. What is the common denominator of u and 113/816?
5712
Let d = -16886580461/638166640 - -307191/10865. Let k = d + 1/7342. Find the common denominator of -89/6 and k.
48
Let h = -163014 + 635265554/3897. Let q = h + 261491/381906. What is the common denominator of 48/7 and q?
98
Let a = -14474/389025 - -79/1995. What is the common denominator of a and 51/25?
2925
Let z = 31945215842209/2556510 + -762233634/61. Let m = 24/635 - z. Calculate the common denominator of 91/66 and m.
66
Suppose 3*z + 578 = 2*s + z, 5*s + 2*z - 1466 = 0. What is the common denominator of 2 - 5/(-54)*-32 and 1 + 123/(-164)*s/(-126)?
378
Suppose 13*k + 168 = 16*k. Let y be (14/k)/(2/24). Suppose -y*s + 29 - 23 = 0. Calculate the smallest common multiple of s and 72.
72
Let v = 195/86 + -4709/645. Find the common denominator of v and -73/14427.
144270
Calculate the common denominator of 27096/4590 + (2 - (-9 - -17)) and 73/24.
6120
Suppose -2*o = 2*o - 4, 3*d - 5*o - 34 = 0. Let k = -7 - d. What is the common denominator of 67/15 and 15*k/18*1/(-4)?
30
Let h(x) = x**3 + 13*x**2 + 21*x + 175. Let u be h(-9). Suppose 0 = -6*d - 22 + u. Calculate the least common multiple of d and 48.
48
Suppose 451 = -9*h + 2494. Let v = h - 200. What is the smallest common multiple of v and 45?
135
Let q = -37721/130 + 3620/13. Let y be (-8)/(-32) + 1/(-12)*3. Calculate the common denominator of 6/480*292 + y and q.
20
Let u(k) be the second derivative of -k**3/6 + k**2/2 + 23*k. Let p = 9 + -14. What is the lowest common multiple of u(p) and 20?
60
Suppose 6*i + 11 = -25. Find the common denominator of i - 2890/(-225) - (-4)/(-10) and 68/45.
45
Suppose 0 = 7*f - 5*n - 12196, 3*n - 8*n = -5*f + 8720. Calculate the smallest common multiple of f and 948.
10428
Calculate the common denominator of -17/1586 and ((-85)/1071)/(454/(-57) + 1 + 7).
33306
Let d = 62 + -63. What is the common denominator of (0 + 37)/(-5 + d + 1) and -88/75?
75
Suppose -6*k = 13*k + 8835. Let h = k + 417. Find the common denominator of 143/18 and h.
18
Let m = -3316 - -6777. Let a = m + -31084/9. Let h = 337497/57631 + 8/8233. Calculate the common denominator of h and a.
63
Let k = -91 - -81. Let a = k + 22. Calculate the lowest common multiple of a and 2.
12
Suppose -g - 9*g - 8680 = 0. What is the smallest common multiple of g/(-40) - 3/(-10) and (-2)/(-3) - (-1)/3?
22
Calculate the least common multiple of (-5)/(17/(-1530)*9) and 200.
200
Let t = 16912 + -473611/28. What is the common denominator of t and -34/609?
2436
What is the common denominator of (184/(-1476))/(((-3)/(-12))/(30/160)) and -69/100?
12300
Let h = -854/5 - -83417/490. What is the common denominator of h and 25?
98
Suppose 5*u - 13 - 2 = 0. Suppose -2*v = u*v - 295. Suppose -16*j + v = -15*j. Calculate the lowest common multiple of