he common denominator of g and -23/17966.
35932
Suppose -2*g = -3*g + 4. Let p(q) = -184*q + 2. Let h be p(g). Calculate the common denominator of (h/(-180) - 2) + (-4)/(-18) and 20/11.
110
Let r(q) = 3*q**2 - 6*q + 8. Calculate the lowest common multiple of r(6) and (-10)/(2088/96 + -23).
80
Suppose 0 = -166*m + 151*m + 7920. What is the smallest common multiple of m and 18?
1584
Suppose -6*a + 7*a = 3. Let z be (-1)/(-14)*((-615)/(-21) - a). Let n = 3607/2156 - z. Find the common denominator of n and -13/8.
88
Let y = -261073/252 - -1036. Calculate the common denominator of (84/144)/((-1)/((-45)/12)) and y.
1008
Suppose 0 = -51*o + 386 - 131. What is the lowest common multiple of 5428 and o?
27140
Let z = -6856/3 - -2308. Find the common denominator of z and -47/772.
2316
Let r(w) = 31*w**2 + 513*w - 3033. Calculate the smallest common multiple of r(6) and 1161.
1161
Suppose 61 + 435 = 4*u. Let y = 70 - u. What is the common denominator of 59/7 and y/(-76) - (-2 + 0)?
266
Let k = 5115 - 3576. What is the least common multiple of 6 and k?
3078
Let t(z) = z**3 + 2*z + 1. Let x be t(2). Let u be 14997/(-14) - x/26. Let f = -1065 - u. Find the common denominator of f and 5/8.
56
Let p = -181/385 + 1/77. What is the common denominator of p and (2266/(-132))/(1*(-2)/2)?
210
Let p = -24 + 22. Let o be (-48)/(-21) + p/7. Suppose -2*q + 5*i - o*i = -45, q = 2*i + 24. What is the lowest common multiple of 22 and q?
198
Let s(i) = -i**3 - 9*i**2 - 3*i - 25. Let r be s(-9). Let q = 2261/6 + -367. What is the common denominator of r/9 + (-2542)/(-279) and q?
6
Let n = 136113625880/4747 + -28673610. Let a = n + -33/202. What is the common denominator of a and ((-10)/(-12))/((-11)/57)?
1034
Suppose 1147*i + 5 = 1152*i. Let j(y) = -y**2 + 1. Let v(h) = -31*h**2 - h + 4. Let o(t) = 3*j(t) - v(t). What is the least common multiple of 20 and o(i)?
140
Let p be (38085/18 - 1) + 0. Let w = -2105 + p. Calculate the common denominator of ((-6)/(-20))/(-11 + (-4131)/(-375)) and w.
12
Let o = 9037147097 + -464870846544263/51440. Let q = o + -2/3215. What is the common denominator of q and -43/94?
752
Calculate the lowest common multiple of 533 and -9*1 - (-345)/46 - (-367)/2.
7462
Calculate the common denominator of 8448/2560*(-5)/(-84) and -72/805.
6440
Let n = -14447 + 16705. Calculate the smallest common multiple of 10 and n.
11290
Suppose -2*w - 2*w + 440 = 0. What is the common denominator of -6 - (-4 - (-7)/84*106) and (-658)/w - 20/(-110)?
30
Let f(d) = 3*d**3 + 5*d**2 - 5*d + 5. Let k be f(-5). Suppose 0 = 81*n + 6*n. Find the common denominator of 3 + n - (-3234)/k and 119/100.
100
Let u = 81927643765/1096 - 74751506. Let h = 3928727/137 + -28677. Let x = u + h. What is the common denominator of x and 49/82?
328
Let s = -10/1073 + 50751/34336. Let q = -2315303/41 - -56467. Let t = q - 1713/164. What is the common denominator of s and t?
32
Find the common denominator of -73/78 and 3/(-45) + 264/1248.
780
Let h(c) = 3*c**2 + 52. Let a be h(9). Let g = a + -135. Calculate the smallest common multiple of g and 200.
800
Suppose -4303*h = -4338*h + 15852 - 1222. Calculate the least common multiple of 418 and h.
418
Find the common denominator of -36/9995 and (-12065)/2850 - (-8)/(-5) - -11.
59970
Let l be (-134)/16*(-3 + 1642/4). Let w = 3411 + l. Find the common denominator of 51/8 and w.
16
Let i(o) = 2*o**3 + 148*o**2 - 155*o - 45. What is the least common multiple of i(-75) and 660?
660
Let b(s) = -4*s + 38. Let a be b(-13). Let n = 114 - a. What is the common denominator of -3 + -1 + 134/n and 77/2?
12
Calculate the common denominator of 59/55 and (-267)/720 + (-240)/(-540).
7920
Let l(c) = -7*c + 7. Let k be l(-8). Suppose 5*s - 3*m - k = 42, -87 = -4*s + 3*m. Let n(b) = 6*b - 63. What is the lowest common multiple of s and n(15)?
54
Suppose -5*n + 404 = -121. Suppose -3*b - k + 267 = 0, b - 6*k - n = -k. Calculate the common denominator of -14/3 and ((-10)/195)/((-1 - -3)/b).
39
Suppose 0*a - 7*a + 14 = 0. Suppose -24 = -2*z - a*z. Suppose -48 = -z*o + 5*o. What is the least common multiple of o and 16?
48
Let r = 11920 - 500723/42. Find the common denominator of (6270/684)/(1 - -1) and r.
84
Find the common denominator of -91/228 and (-262)/(-486)*(-69)/874.
6156
Suppose -3*u + 20 = -u. Let n(s) = -s**2 - 8*s**2 + 2 + 11*s**2 + s**3 - 6*s. What is the smallest common multiple of n(-3) and u?
110
Suppose -y - 2550 = 5*t, -40*y = 3*t - 44*y + 1507. Let o = -489 - t. What is the least common multiple of o and 44?
220
Let p(v) = -52*v - 132. Let l be p(-9). Suppose -55*c = -47*c - l. What is the lowest common multiple of 9 and c?
126
Let w(l) = l**3 - 9*l**2 - 6*l - 1. Let r be w(10). Let j = r + -69. Calculate the smallest common multiple of 12/j*-2*(1 + 4) and 3.
12
Suppose 248 = 149*i - 29*i - 232. Suppose -6*w - x + 697 = -w, 4*x = -12. What is the least common multiple of i and w?
140
Let v = 40795/1218 - -4/609. Suppose 0 = 2*u - 7*m + 5*m + 84, 0 = -u - 3*m - 26. Find the common denominator of (u/22)/(9 + -10) and v.
22
Let i(m) = m + 8. Suppose -11*t = -9*t + 3*w + 153, 5*t + 399 = -2*w. Let l = 88 + t. What is the least common multiple of l and i(0)?
56
Suppose -5*v - a = 81, 2*v + 4*a = 3*a - 33. Let y be v/(4/40*(-5)/(-2)). Calculate the lowest common multiple of 2 and (6 - 8)/(2/y).
64
Suppose 40*p - 54*p - 1080 = -32*p. What is the least common multiple of 561 and p?
11220
Let u(r) = r**2 + 60*r - 579. Calculate the least common multiple of 22 and u(-78).
1650
Suppose 684 = 6025*z - 5911*z. Calculate the lowest common multiple of 6002 and z.
18006
Suppose -41*r = -66*r - 2400. Let v = r + 138. Calculate the least common multiple of v and 12.
84
Let f(w) = -w**3 + 7*w**2 - 4. Let p be f(7). Let q = p - -14. Suppose -3*u - 15 = -3*g, g + 4*u + 4 - 9 = 0. What is the lowest common multiple of g and q?
10
Suppose 2*g + 75 = -3*z - 52, 0 = -z + 2*g - 29. Let m = z - -75. Let r = 18737 + -18725. What is the lowest common multiple of r and m?
36
What is the common denominator of -173/600 and ((-41)/36)/((-500)/40)?
1800
Let m be (20/(-85))/2 + (-105896)/119. Find the common denominator of 71/22 and (-18)/225*m/(-24).
330
Let l = 8 + -3. Suppose -a = s + 37, 0*s - 4*s = l*a + 148. Find the common denominator of s/6*(-9)/15*-1 and 25/2.
10
Let w be 3/(-5) - (1 - (-76)/(-10)). Calculate the common denominator of (-126)/132*8/(-3) and 3*w/9*3/18.
33
Let s = 4105/4 - 1009. Let a = 5616/4777 - -17/562. Calculate the common denominator of s and a.
68
Let h be -2 - -2 - 147577/170. Let s = 866 + h. What is the common denominator of s and -43/40?
40
What is the common denominator of -97/98 and -4 + (13 - 3708/392)?
98
Let r = 181807/5 + -36350. Find the common denominator of 49/16811 and r.
84055
Let o(b) = 434*b - 42. Let k be o(1). Suppose 83*q - 79*q = k. What is the lowest common multiple of 70 and q?
490
Let l = 256 + -577. Let g = -287 - l. What is the smallest common multiple of g and 22?
374
Let r = -54/61 - 2355/854. Let s = -147 - -146. What is the common denominator of s + -3 - 987/(-420) and r?
140
Suppose -5 = -f - 5*x, -4*f + 71*x + 45 = 66*x. Calculate the least common multiple of f and 936.
4680
Let j = -147/2 - -1141/15. Calculate the common denominator of -52/27 and j.
270
Let h(t) = -48*t - 49. Let v be h(11). Let w = -475 - v. Calculate the least common multiple of 18 and w.
306
Let x = 114688/271055 + 7/2357. Calculate the common denominator of x and -121/1380.
1380
Suppose -2*t = 60*n - 61*n + 1186, 4*t = -3*n + 3568. Calculate the smallest common multiple of 1188 and n.
1188
Let q = -21/4988 - 83363/932756. Find the common denominator of 59/136 and q.
1496
Suppose -5*y - 2*l + 55 = -l, 2*l = -y + 2. Let k = -9909/16 - -1235/2. Calculate the common denominator of k and (-1)/2*(-45)/y.
16
Let b be 0 + 8/(-20) + (-1881)/(-15). Suppose -124*j - 97 = -b*j. What is the smallest common multiple of j and 7?
679
Let k = 142671857/470 - 303557. Calculate the common denominator of k and 37/2.
470
Suppose 2437*f - 2439*f = -6. Calculate the smallest common multiple of 150 and ((-10)/f)/(3*2/(-135)).
150
Let b = -12269 - -12278. Calculate the smallest common multiple of 297 and b.
297
Let y = -166214/15 - -11085. Suppose -50*j + 55*j = 40. Find t