 Let g = -432527/30 - n. What is the common denominator of -74/35 and g?
210
Suppose -13*n = -6*n - 7. Let k = -108959/15848 - -1/3962. What is the common denominator of 9/((-11340)/4417) + n/5 and k?
72
Let k = 11533 - 11335. What is the lowest common multiple of k and 128?
12672
Let z = 7927 + -1415. Let w = -208309/32 + z. Calculate the common denominator of w and (-3)/(-5)*158/24.
160
Suppose 15978 = 111*d - 11994. Calculate the smallest common multiple of d and 108.
756
Let d = 164 + 291. Let c = -449 + d. What is the smallest common multiple of c and 1?
6
Let r(u) = 4*u + 3. Calculate the smallest common multiple of r(6) and (-366)/61 + 9*(2 - 0).
108
Let b be (-1)/((-3)/60*-5). What is the common denominator of 67/30 and (b/6)/(120/3348*9)?
30
Suppose 33*p - 3579 = 381. What is the lowest common multiple of 996 and p?
9960
Let o(z) = -22*z + 158. Let w = -77 - -117. What is the least common multiple of o(7) and w?
40
What is the common denominator of 921/90 + -9 + (-4 - -9) and 1 + 21/(-24)*14?
60
Suppose -2*r - 8 = -4*a - 22, -a - 21 = 3*r. Calculate the lowest common multiple of 24 and -4 + a/6*-46.
168
Let y(a) = 64*a - 44. What is the lowest common multiple of y(1) and 362?
3620
Calculate the common denominator of 26*(8 + 18339/(-2292)) and 31/2.
382
Find the common denominator of 61/48 and 1070/(-15)*(646/3280 + (-1)/5).
1968
Let c(n) = 3*n**2 + 3*n + 6. Let k be c(-3). Suppose 26*y - k*y = -3*g + 5, -5*y + g + 38 = 0. Calculate the least common multiple of 19 and y.
133
Suppose 5*v + 2318 = 4*k + 652, 2*k = -4*v - 1312. Let l = -1683 - -18525/11. Find the common denominator of l and (6 + 0)/(-2)*170/v.
11
Let w(k) = 14*k**2 + 40*k - 230. What is the least common multiple of 1904 and w(4)?
20944
Let j = -2/1361 + 85759/10888. Let p = 28043 + -53753/2. Let b = p + -1118. Calculate the common denominator of b and j.
8
Let g be ((-3)/6)/((-4)/(-8)). Let i be (-100)/20 + (40 - g). Suppose 5*f + 3*c = 2*f + i, 0 = 5*f - 2*c - 32. What is the lowest common multiple of 14 and f?
56
Let u = -1/43456 - 1498027/52364480. Calculate the common denominator of u and 42/2651.
26510
Let r = 11952325/172 + -69490. Calculate the common denominator of 55/216 and r.
9288
Let i = -11868929/8 - -1491887. Let b = 8281 - i. Find the common denominator of -39/8 and b.
8
Suppose -4*c = -g + 264, -28*c + 25*c = -12. Calculate the lowest common multiple of 800 and g.
5600
Suppose 3*l + 0*u + 10 = -5*u, 5*u = -l - 20. Calculate the smallest common multiple of (7 - (-1 - l)) + -1 and 15.
60
Find the common denominator of 8/85 and 2/3*((-18)/75)/((-1184)/40).
3145
Suppose -16*d - d + 1710 = 21*d. Calculate the least common multiple of d and 30.
90
Let f(y) = y**3 + 31*y**2 + 26*y + 118. Let j be f(-30). Suppose -i + 86 = -3*h, -h + j = 6*i - 3*i. What is the least common multiple of 8 and i?
80
Let k = -69 + 71. Let l be k*(-3 - 1 - -8). Suppose -l*f + 84 = -6*f. What is the least common multiple of f and 20?
420
Suppose 5*g + 105 = -6*w + 5*w, 3*g + 2*w + 63 = 0. What is the common denominator of (g - -27) + (-127)/8 and (1/(-2))/((-10)/54)?
40
Suppose 4*l - 2532 = -4*q, -5*q = -4*l + 1623 + 882. Calculate the lowest common multiple of l and 54.
1890
Let f = 967062241/200874648 - 106/66603. Let c = -151/29 + f. What is the common denominator of c and 81/88?
1144
Let b be 0 - -5 - (-16841)/(-3465). Let i = 22009/29610 + b. Calculate the common denominator of i and 47/4.
188
Let y be (-819835684)/4026 + (-60)/(-180). Let l = y + 203635. What is the common denominator of -34/7 and l?
4697
Let j be (-7 - -298)*(-2)/(-20). Let k = j - 152/5. What is the common denominator of k and -13/2?
10
Suppose 5*p - o - 3*o - 154 = 0, -3*p = -4*o - 86. Suppose 264 = -p*s + 38*s. Calculate the lowest common multiple of 54 and s.
594
Suppose 2115*s - 2096*s = 513. Calculate the lowest common multiple of 594 and s.
594
Let i = 16 - 12. Suppose 0 = i*d + 141 + 163. What is the common denominator of 57/4 and (-18)/(-4)*d/(-120)?
20
Find the common denominator of (220/50)/(74/195 + (-28)/(-182)) and 103/48254.
96508
Find the common denominator of 85/264 and (-1)/(-13) - (-459)/117 - 21214/5280.
2640
Suppose -989*w = -985*w - 4*c - 92, 2*w = -3*c + 41. What is the smallest common multiple of 85 and w?
1870
Let r = -4195/164 + 75/41. Let i = 243361/18 + -10340663/765. Let o = i - -380/51. What is the common denominator of o and r?
20
Let f(o) = -12*o + 0 + 2*o**3 + 19*o + 16*o**2 + 18 - 11*o. Calculate the least common multiple of 100 and f(-8).
100
What is the smallest common multiple of 78476/14 - ((-1)/8 + (-1798)/(-3248)) and 570?
33630
Let a be 0 - (-102 - (5 + -2)). Let q = a + -65. Suppose 264 = -11*u + 53*u - 1416. Calculate the smallest common multiple of q and u.
40
Let d = 42 + -43. Let x = 19 + d. Suppose 2*p - 6 = x. What is the smallest common multiple of p and 6?
12
Let t = -59/4 - 47/4. Let r = -15692 + 15724. Calculate the common denominator of r and t.
2
Let n be (6/18)/(2/(-30)). Let m be 4*(n*13738)/(-5). Let s = m + -3187121/58. Find the common denominator of -81/4 and s.
116
Calculate the least common multiple of (20 - ((-1 - 8) + 14)) + 9/(-3) and (-46)/(-4) + 3/6.
12
Let z = 284692 + -145193093/510. Calculate the common denominator of -46/15 and z.
510
Let p = -406 - -491. Suppose 3*b - p = 188. Calculate the smallest common multiple of 78 and b.
546
Let b(w) = 2*w**2 + 7*w + 14. Let q be (-1 + (-11)/(-5))/(12/(-40)). Calculate the smallest common multiple of b(q) and 12.
36
Let t be ((-2450)/(-172))/(-7) + 2. Let v = 64723337/11029758 - -13/85502. Let h = v + t. What is the common denominator of h and -44/25?
150
Suppose 0 = 4*m - 2*t - 34, -2*m - 4*t + 219 - 207 = 0. Calculate the smallest common multiple of m and 1933.
15464
Let v = 203294303/36 - 5647647. Let j = 586 + v. Calculate the common denominator of -17/18 and j.
36
Let z(s) = 157*s**2 - 2*s - 1. Let g be z(-2). Let w = -571 + g. What is the smallest common multiple of 66 and w?
660
Let r be (1 + 221)*(13 + (4 - 11)). Suppose 96*q = 87*q + r. Calculate the smallest common multiple of 8 and q.
296
Suppose -6 = d - 1, -4*a + 2*d = 3366. Calculate the common denominator of (-2)/(-9) + 265/(-2205) and a/(-20) + 4/(-20).
49
Suppose l = 5*r + 100, 5*r - 13 - 87 = -l. Let o(p) = -p**2 - 22*p - 85. Calculate the least common multiple of o(-15) and l.
100
Suppose -8*j = -4*j - 40. Let o = -1039 + 1295. Calculate the smallest common multiple of o and j.
1280
Let w = 32450 + -8761349/270. Find the common denominator of w and -187/270.
270
Let p = 14823 + -13743. Calculate the lowest common multiple of p and 2268.
22680
Let g(k) = 8*k**3 - 9*k**2 - 58*k + 219. Calculate the lowest common multiple of 110 and g(5).
3520
Let f = -301145833/53286 - -2/26643. Let l = f + 203491/36. What is the common denominator of -38/7 and l?
252
Suppose -50*g + 3870 + 13130 = 0. Calculate the lowest common multiple of 136 and g.
680
Let q be (-1 + 68/60)/((-112)/8376). Let l = 91/15 + q. Find the common denominator of 157/30 and l.
210
Let i = 108 + -105. Suppose -4*y + 0*k + i*k = -16, 0 = -k - 4. What is the least common multiple of 15 and y?
15
Let s be 4 + (36/45)/((-4)/10). Suppose 2*u - 71 = -s*d + 147, 0 = -2*u + 3*d + 243. Calculate the smallest common multiple of 22 and u.
1254
Let z = -14669/170360 + 110182777017/2896120. Let v = -38045 + z. Let p = v - 883/765. Calculate the common denominator of -85/8 and p.
72
Suppose 3*i - 256 = 4*z, 4*i + i = 5*z + 420. Let m(r) = 2*r**2 + 11*r - 2461. Calculate the smallest common multiple of i and m(33).
80
Let u = -13 - -14. Let w = -708637/26 + 27252. What is the common denominator of (822/(-324))/(u/(-3)) and w?
234
Let n = -132 - -913/6. Calculate the common denominator of (36/6885*9)/((-1)/(-5)) and n.
102
Let f(c) = 276*c - 1315. What is the lowest common multiple of 143 and f(5)?
715
Let n = 1607151/242 + -6641. What is the common denominator of n and 113/20?
2420
Suppose 5*w + 4*t = 44, w = 2*t + 7 - 1. What is the least common multiple of 1152 and w?
1152
Let o(a) = -85*a - 11. Suppose -2*p - 5*s + 52 = -18, 0 = -2*s + 12. Calculate the least common multiple of o(-9) and p.
7540
Suppose -327*o + 311*o = -22416. What is the least common multiple of 11 and o?
15411
Let