-5564469/449 + 12393. Let j = y + s. Calculate the common denominator of j and 27/10.
30
Calculate the common denominator of (-2)/11 + 4590/(-528) and 530/70 + (-2)/2.
56
Let i be 98/((-725)/50*(3 + -1)). Let j = -3/623852 - 432640579/162825372. Let r = j - i. Find the common denominator of 23/18 and r.
18
Let p = 1775/143 - 1762019/140998. What is the common denominator of p and 66/85?
4930
Let j be (696/(-1302658))/(126/731547). Let s = j + 2/93047. Let i = 6539/1176 + s. Calculate the common denominator of -49/36 and i.
72
Let d(c) = -c**2 - 21*c + 66. Let g be d(-9). Suppose -6*p + 6 = -g. What is the lowest common multiple of p and 90?
90
Let f(j) = j**3 + 13*j**2 + 12*j - 10. Let t be f(-12). What is the common denominator of (-1*(-2)/(-4))/(t/7) and 179/60?
60
Calculate the common denominator of -83/3315 and 249/830 - (-102)/(-140) - (-3352)/6825.
16575
Let s be 2 - 4 - (-4 + 2). Suppose s = -12*i - 23*i + 910. Calculate the lowest common multiple of i and 78.
78
Find the common denominator of ((-92)/24 - -7) + 0 and 1 + -5 + 365/110.
66
Suppose -2*j + 3 = 4*m + 41, -3*j + m = 22. Let g be ((-6789)/36)/((-3)/j). Let w = -580 - g. What is the common denominator of w and 85/18?
36
Suppose -135*s + 1463 = -2*s. Calculate the lowest common multiple of 107 and s.
1177
Let b(p) = 3*p + 43. Let z be b(-10). Suppose q + 4*a - z = 29, -5*a + 25 = 0. What is the lowest common multiple of 6 and q?
66
Suppose 0*v - 2*v + 5*y + 22 = 0, v - 11 = 4*y. Let c(z) = 26*z - 166. What is the least common multiple of 90 and c(v)?
360
Let z = 283/4 - 551/12. Calculate the common denominator of 93/232 and z.
696
What is the least common multiple of 18/(-24)*440/(-30) and 1425?
15675
What is the common denominator of -4 + (-1803)/(-252) + (-225)/45 and -74*(6 + -4)/(-60)?
420
Suppose -1455*d = -1454*d - 85. Calculate the common denominator of (-1964)/(-280) + 2/10 and 17/d*(-82)/4.
70
Calculate the common denominator of (54/(-80))/((-26)/(-65)) + -12 + 19 and 93/5506.
44048
Suppose 8*f = 4610 - 362. What is the common denominator of 33/106 and f/(-48)*18/27?
424
Let u = 2298951/56 - 41051. What is the common denominator of u and -52/763?
6104
Suppose -7*w - 14*w = 105*w - 40320. What is the least common multiple of 32 and w?
320
Suppose 5*y - 945 = 420. Let d = y - 269. Calculate the least common multiple of 4 and d.
4
What is the common denominator of 107/24 and (-10)/(-25) + (38703/(-7080))/19?
1416
Let c(m) = 2*m**2 + 112*m + 696. What is the lowest common multiple of c(-49) and 124?
620
Calculate the common denominator of 103/52 + (37 - (-1680)/(-42)) and 17/(-112) + (-26)/91.
208
Let w = 330 - 320. Suppose -2*z = 4*m - 20, w = m + 4*z - 2. What is the lowest common multiple of 18 and m?
36
Let k = 9484 - 4413. What is the smallest common multiple of 3 and k?
15213
Let p = -887/4 + 451/2. Suppose 120 = 5*o + 5*l, 2*l - 6 = -4. What is the common denominator of (-35)/(-42)*(o + 0) and p?
12
Let z(m) = -m**2 + 15*m + 40. Let x be z(17). Suppose 0 = -0*h + h - 16. What is the least common multiple of 3*(x - (7 + -5)) and h?
48
Suppose -15*g = -24*g + 58*g - 37485. Calculate the smallest common multiple of 306 and g.
1530
Let x = 12/6259 - 1008587/463166. Let u = -12/37 + x. What is the common denominator of 91/390*4/((-8)/(-18)) and u?
10
Let z = -3330 + 15033. What is the lowest common multiple of 6 and z?
23406
Suppose 0 = -6*s + 8*s. Suppose g - k = -5, g + s*g - 15 = -3*k. Suppose m = 4*r - g*r + 4, 19 = 2*m + 3*r. What is the smallest common multiple of m and 9?
72
Let d be ((-4)/(-1))/(-6*6/126). Let l(n) = n**3 + 14*n**2 + 4*n + 76. What is the lowest common multiple of l(d) and 22?
220
Let o(x) = 3*x**3 + 22*x**2 - 88*x - 641. Calculate the lowest common multiple of o(-7) and 2280.
2280
Let n(h) = -8*h - 16. Let w be n(-27). Let q = w - 2205/11. Calculate the common denominator of 1/3 and q.
33
Let f = 356 + -324. Calculate the common denominator of (1 - (-150)/56) + 0 and (5 + f/(-12))/((-22)/(-27)).
308
Suppose b - 2*o - 155 = 27, 4*b - 778 = -2*o. Calculate the smallest common multiple of b and 192.
192
Let x = 1028753/63 + -16330. What is the common denominator of -151/144 and x?
1008
Let n(o) = -2*o - 33. Let f be n(-19). Suppose f*d - 8 = -c, -c - d + 9 = -3. Suppose -3*t + 19 - c = 0. Calculate the smallest common multiple of t and 14.
14
What is the common denominator of ((-27258)/(-252) - -1*1)*1/290 and -11/29?
348
Let m be ((-1677)/172)/(2*(-2)/(-32)). What is the common denominator of ((-54)/(-180))/((-3)/m) and ((-282)/32)/(24/16)?
40
Calculate the common denominator of (-400)/(-35)*350/114900 and 44/27.
10341
Let x be (-84)/(-56) - 26/(-4). Suppose 18*b - 546 = -x*b. What is the least common multiple of 6 and b?
42
Suppose -d - 6 = d - 3*r, -4*r = -d - 13. Find the common denominator of 30*d/21 - 1 and (-11)/14*2916/1782.
7
Suppose -2535 = -277*f + 5153 + 1453. What is the least common multiple of 1683 and f?
1683
Let o = 5/679 + -4793/5432. Calculate the common denominator of 55/4 and o.
8
Suppose 5*i + 5 = -5*k, -k - 3 = 3*i - 4*k. Let w(r) = 2*r**3 + r**2 - 1. Let c be w(i). What is the least common multiple of 22 and c/(-9) - 13952/(-72)?
2134
Suppose 2*b + 70452 = 3*l, -2*l + 3*b = -17029 - 29944. Let g = -1784545/76 + l. What is the common denominator of -119/18 and g?
684
Suppose 210*y = 5*h + 209*y - 207, 5*h = -3*y + 219. What is the lowest common multiple of h and 1113?
2226
Suppose -z - 5*m + 4 - 49 = 0, 0 = -z - 3*m - 55. Find the common denominator of 77/20 - (-21)/z*5 and -133/96.
480
Suppose 0 = 2*g - 8, 4*g = 3*t - 1872 - 497. Calculate the lowest common multiple of 53 and t.
795
Let f(i) = -129*i - 250. Calculate the least common multiple of f(-2) and 1771.
14168
Let j = 2459 + -1424. Suppose 0 = 21*g + 195 - j. Calculate the lowest common multiple of 16 and g.
80
Let g = -62313 + 62324. Suppose 2*u = -4*c + 8, 5*u + 2*c - c - 11 = 0. Calculate the lowest common multiple of -1 + 3 - (1 - u) and g.
33
Let u(p) = -128 + 19*p**2 + 79 + p**3 - 2*p**3 + 30*p - 7*p. What is the smallest common multiple of u(20) and 5?
55
Let b(c) = -c**3 + c**2 - c + 2. Let f be b(1). Let r be (f/(-6))/((-1)/6). Let n = 4 - r. Calculate the smallest common multiple of n and 27.
27
Let f = -73245106910/2163 - -33862739. Let s = 95/206 - f. Calculate the common denominator of s and 65/8.
168
Let r = -10/131 + 2539/655. Let f be (-1719)/5913 - (-2)/9. Let o = f - -2157/584. Find the common denominator of r and o.
40
Suppose 0*j - 63 = 3*j. Let l(m) = m - 45. Let b be l(j). Let d = -52 - b. What is the lowest common multiple of 12 and d?
84
Let y = -1189 - -1228. What is the smallest common multiple of 246 and y?
3198
Let z be -50 + (-6 - ((-4 - -3) + -2)). Suppose 4 = r, -t + 2*t + 2*r = -55. Let d = z - t. What is the lowest common multiple of d and 44?
220
Let r(z) = 462*z - 21. Let x be r(-4). Let c = x + 14895/8. Find the common denominator of (-3)/18*93/4 and c.
8
Let o(w) = 9*w - 132. Let z be o(14). Calculate the common denominator of 4/(-6) + (-44)/144 and (12/5)/z + (-474)/(-135).
36
Let x = 951 - 801. Calculate the common denominator of 3/(-133)*1365/x and -37/114.
570
Suppose -4*u = -3*d + 18, 4*d + u - 13 = 11. Suppose -21 = -d*f + 195. Calculate the smallest common multiple of f and 24.
72
Let q be (-3)/6*2 + 0. Let p be 13/39 + (2 - 76/(-6)). Find the common denominator of -1 - p/(q + 3/(-9)) and 40/3.
12
Suppose -3*w + 28 = 2*p, -6*w - 1 = -2*w - 5*p. Let n be -6 + (-56)/(-10) + (-43)/5. Calculate the smallest common multiple of (n/(31 + -4))/((-1)/42) and w.
42
What is the common denominator of 53/6 and (-238)/111*(-8)/(-56)*2/7?
1554
Find the common denominator of (1/((-120)/(-237)))/((-4)/(-10)) and (53/(-24))/(6*2/(-16)).
144
Suppose 29 - 4 = u - 5*a, -3*u = -4*a - 31. Suppose u*n - 45 - 30 = 0. What is the lowest common multiple of 33 and n?
165
Let t be -5 - (-1766)/(-9) - 4/(-18). Let d = -186 - t. Calculate the smallest common multiple of d and 21.
105
Let r = -124393183/352 - -353390. Calculate the common denominator of -51/121 and r.
3872
What is the common denominator of -2/135 and 28/10*(-170)/(-8874)?
3915
Let l = 13 - 12. Let r be (31 + -4)*(0 - l/(-3)). Suppose -14*w + 25 = -r*w. Calculate the smallest common mul