b. Suppose m - 18 = 3*m - 3*d, 2*m - 2*d + b = 0. Calculate the common denominator of 48/13 and ((-108)/15 - m)*2.
65
Suppose -b + 40 = -1623*h + 1626*h, -112 = -5*b - 4*h. Suppose 0*q = 2*q - 200. What is the least common multiple of q and b?
400
Let x = -10115 + 30353/3. Calculate the common denominator of x and -47/18.
18
Suppose 9 = 7*p - 12. Let i(w) be the first derivative of 4*w**2 - 36*w + 14. What is the lowest common multiple of p and i(6)?
12
Find the common denominator of ((-4)/(-10) - (-598766)/(-110865)) + 5 and -95/4.
4668
What is the common denominator of ((6 - 304/31) + 2 + -2)/8 and -45/124?
124
Suppose 13 = -7*p + 281 - 44. Calculate the least common multiple of p and 24.
96
Let m = 324953/22 + -14774. Let w = 3804821963/28710 + -3843416/29. Let u = w + 16/55. Calculate the common denominator of u and m.
198
Let f = 44 - -50. Calculate the common denominator of 18 + -18 + (-53)/f and 25/6.
282
Suppose 228 - 12 = -12*a. What is the common denominator of (a/(-8))/((-15)/9) and (-5)/10 + (-7)/(-16)?
80
Suppose -3*s + 49 = -3*l - 29, 0 = -5*s + l + 106. What is the lowest common multiple of s and 2768?
13840
Let g = -799723/298210 + -1/13555. Let p = -101412/9571 - 62/563. Let y = -671/204 - p. What is the common denominator of y and g?
132
Suppose -7*a = -5*a - 920. What is the least common multiple of (-30 - (0 - -3))*8/(-12) and a?
5060
Suppose -1489 = 10*w - 209. Calculate the common denominator of (-1)/(-2) + (-56)/w and -69/28.
112
Let a(m) = 16*m**2 + m + 2. Let g be a(3). What is the common denominator of (((-34)/3)/(-1))/(25360/1902) and g/(-6) + 4/6?
60
Let l = 104 + -99. Suppose 0 = 5*v + l*x, 4*x = -2*v - 3*v + 2. What is the smallest common multiple of 2 + 39*(-1)/(-1) and v?
82
Let p(k) = -23*k + 2. Let n be p(2). Calculate the common denominator of (-238317)/(-4294) + -66*1 and -2 + (510/n)/(-5).
22
Suppose -2*x - 62 = -3*j + 82, -2*x + j = 144. Let n be ((-9)/(-2))/(27/x). Let v = 15 + n. Calculate the smallest common multiple of 1 and v.
3
What is the smallest common multiple of ((-340)/3)/(-20)*(54 + 3) and 136?
2584
Let q = 73 - 173. What is the common denominator of 41/q - (-24)/(-32) and ((-304)/(-6))/(51 - 53)?
75
Suppose 12*t = 8*t - 524. Let d = 439 + t. Let p = 2175/7 - d. Calculate the common denominator of p and -5/3.
21
Suppose 0 = -108*c + 118*c - 50. Calculate the least common multiple of 165 and c.
165
Let v(s) = 10*s + 88. Let m be v(-10). Calculate the lowest common multiple of 16 and (m/(-10))/((-27)/(-450)).
80
Let f = 1500097/94680 + -4080/263. Calculate the common denominator of -101/780 and f.
4680
Let f = -867 - -1154. Calculate the smallest common multiple of f and 369.
2583
Suppose -356*h = -341*h - 5940. What is the lowest common multiple of h and 84?
2772
Suppose -77 - 403 = -4*s. Calculate the common denominator of (-48)/s - 4*(-58)/2430 and -67/3.
243
Let a = -3347 - -3435. Calculate the least common multiple of a and 88.
88
What is the smallest common multiple of 6 and ((-1)/(6/9))/(-20 + (-375172)/(-18760))?
2010
Let o be (((-33)/(-48))/(-11))/((-4)/19528). Let g = -316 + o. Calculate the common denominator of g and -49/5.
40
Suppose 3*v - 3000 = 4*h, -v + 47*h - 51*h = -968. What is the smallest common multiple of 279 and v?
8928
Let s be (-6)/10*(-3)/3*30. Find the common denominator of (-19598)/(-5904) + s/(-8) and 1/72.
72
Let k = 213949715 + -7703100049/36. Let n = k + 25284. What is the common denominator of n and -121/6?
36
Let g be ((-4)/(-70))/(-3*408/(-2124)). Let u be (-22)/(-3)*(-15)/(-175). Let y = g - u. What is the common denominator of y and 53/10?
170
Let m(l) = -232*l + 345. What is the lowest common multiple of m(-4) and 19?
1273
Suppose -2*i + 55 = 13. Suppose -5*x + 337 = -0*x - j, -4*x + 3*j = -263. Suppose -5*s - x = -83. Calculate the smallest common multiple of i and s.
21
Let b = -1769293/820512 + 2/25641. Let g = -15227/35 + 435. Let p = g - -269/420. Calculate the common denominator of p and b.
96
Let a = 3/75589 + -4625635/370537278. Find the common denominator of a and 71/30.
24510
Calculate the least common multiple of (105/(-14))/(133/154 + -1) and 1111.
5555
What is the common denominator of -13/122 and (-368)/3657 - ((2 - (-1)/(-6)) + -1)?
6466
Let j = -727546/33 + 22049. Let u = -1516309/195 + 38851/5. Let w = 16/39 + u. What is the common denominator of j and w?
33
Let f = -708 - -753. Calculate the least common multiple of f and 180.
180
Let h = 77 - 77. Find the common denominator of 53/8 and h + -3 + 564/88.
88
Suppose 28*d - 75 = -k + 26*d, -4*k = 4*d - 304. Let n(h) = 6*h**2 + 5*h + 3. What is the lowest common multiple of n(-3) and k?
462
Let n be 6 + 1035/72 + (-3)/8. What is the lowest common multiple of (0 - -3) + (n - -13) and 36?
36
Let i(n) = n**2 + 3*n + 2. Let y be i(-3). Suppose 6 = y*o - o. What is the lowest common multiple of o and 25/4 - (-1)/(-4)?
6
Let l be ((-6)/(-5))/((-8)/(-600)). Suppose -l = 7*q + 8*q. Find the common denominator of 49/16 and q*4/((-180)/(-185)).
48
Suppose 0 = j - 0 - 2. Calculate the lowest common multiple of j and 36 + -5 - (-60 + 68).
46
Let r(h) = -2*h**3 - 40*h**2 - 2*h - 18. Let k be r(-20). Calculate the common denominator of -125/12 and ((-208)/39)/(k/6).
132
Suppose 2*a = -5*a + 491974. Let s = 12018185/171 - a. Calculate the common denominator of -23/152 and s.
1368
Let y(c) = c**2 - 9*c - 30. Let u be y(15). Suppose 276 = 8*q - u. What is the lowest common multiple of 12 and q?
84
Let k = 9897/1719094 + -5/962. Let a = 1496/520017 + k. Calculate the common denominator of a and -77/6.
582
Suppose 1274 = 3*r + 1232. What is the lowest common multiple of 20 and r?
140
Suppose -4*o - 98 = 350. Find the common denominator of 6/24 + 220/o and -31/6.
42
Let g(q) = -48*q + 234. Let b(z) = z**3 + 11*z**2 - z + 19. Calculate the lowest common multiple of g(3) and b(-11).
90
Let n = -3073/4 + 291929/380. What is the common denominator of -63/1900 and n?
1900
Suppose -3*m + 4*v = -80 + 30, 4*v = -5*m + 94. Let q(h) = -h**2 - 4*h - 2. Let x be q(-2). Suppose -x*f = f - 12. What is the least common multiple of m and f?
36
Let r = -4289 + 2663476/621. Find the common denominator of 25/759 and r.
6831
Suppose -19*s - 1691 - 1710 = 0. Let f = 205 + s. Calculate the lowest common multiple of f and 117.
234
Let o be (-2 - (-22)/4)*(-24)/(-21). Suppose -o*y = 16, c + y - 33 = -2*y. Calculate the lowest common multiple of 5 and c.
45
Let r(m) = -32*m - 3. Let y(w) = -173*w + 16116. What is the lowest common multiple of y(93) and r(-3)?
837
Suppose -31*u + 20*u = -143. What is the smallest common multiple of 468 and u?
468
Suppose 0 = -7*n + 6*n - 10. Let a be ((-1)/1)/(3 + 27/n). Let r = a - -100/9. Find the common denominator of r and -91/4.
36
Let w = -918 - -2447. What is the common denominator of 2/11 + w/(-1089) and (-5)/((-10)/6) - 27/(-24)?
72
Let n = -103 - -115. Suppose x - 44 = -n. Calculate the common denominator of 11/20 and 2/(-4)*100/x.
80
Let s = 224069/12 - 18669. Find the common denominator of s and -43/1659.
6636
Let n = 341 + -337. Suppose -r + 10 = -n*j + 430, -4*r + 315 = 3*j. Calculate the lowest common multiple of 63 and j.
315
Let p = 38749/49840 + 11/9968. Calculate the common denominator of p and -121/378.
3780
Let g be (-6 + (-6738)/(-1122))*299437/4. Let k = -4414/11 + g. What is the common denominator of -79/20 and k?
340
What is the common denominator of 10296/(-330) + (-1)/(-5) and (-12)/99*1586/104?
33
Let q = -5862746/135 + 43428. What is the common denominator of q and 187/2460?
22140
Let n = 19565/2 + -10000. Let i = 171 + n. Find the common denominator of i and (26/(-4))/(18/(-4)).
18
Calculate the common denominator of (-6)/(-24)*(-9373)/(-824) and -53/864.
864
Let z(c) be the third derivative of c**6/120 - 37*c**5/60 - 79*c**4/24 + 12*c**3 + 58*c**2. Let b = 6 + -2. What is the lowest common multiple of b and z(39)?
132
Let o(g) be the first derivative of g**3/3 - 2*g**2 + 6*g - 396. Let i be (2 + (-3 - -1))/1. Calculate the smallest common multiple of o(i) and 9.
18
What is the lowest common multiple of 6 and (-420)/18*216/(-40)?
126
Let j(b) = -b**3 + 31*b**2 + 35*b - 69. What is the least common multiple of j(32) and 3456?
3456
Let r be (-6)/8*-3*8. What is the common 