et a = 26350054213/1851216 - k. Let w = a - 14243. Find the common denominator of w and -31/26.
156
Suppose 11*t = 3*t + 368. Let g(v) = 9*v**3 - 2*v**2 + 5*v - 2. What is the least common multiple of t and g(1)?
230
Let p = -32 - -35. Suppose 4*v = -p*m + 486, 0 = v + 4*v + 3*m - 609. Suppose -v = -2*y - 31. What is the least common multiple of 8 and y?
184
Let d = -3802582/253 + 15030. Let x = d - -5787/1012. Find the common denominator of ((-11)/528)/((-2)/102) and x.
16
Calculate the common denominator of -161/5370 and -24 - (12 - 1159932/32220).
5370
Let s = 28427 - 5173667/182. What is the common denominator of s and 1 - 104/88 - 463/(-429)?
546
Let f be (-1 - 46/(-44))/(5/118). Let r = 386031 - 276012608/715. Let u = f - r. Calculate the common denominator of 39/8 and u.
104
Let o = 188 + 8. Suppose -3*v - 70 = 4*l - o, -3*v = 3*l - 96. Find the common denominator of -35/2 and -4 + 125/l + 227/(-84).
28
Let a = -268395 + 268428. Let h(r) = 122*r**3 - 2*r**2 + r. Calculate the lowest common multiple of h(1) and a.
363
Let q = 1/24494 - 1310603/4261956. What is the common denominator of q and 109/174?
348
Let m = 1489615 - 3360571517/2256. What is the common denominator of m and 29/36?
6768
Let n = 654599/45 + -14545. Let v = -3054137/120 + 25452. What is the common denominator of v and n?
360
Suppose 4*v - 2942 = 5*y + 3190, -16 = 4*y. Calculate the smallest common multiple of 382 and v.
1528
Let f(g) = -3*g. Suppose 4*r - 47 = -3*c, -2 = r - 10*c + 8*c. Calculate the smallest common multiple of r and f(-7).
168
Suppose -11 = l + 49. Let z = -2682 - -2686. What is the common denominator of l/(-78)*(-3)/z and -87/20?
260
Let g = 2819 + -2748. Calculate the least common multiple of 49 and g.
3479
Let o be (-1 + 616/(-2))/46 - -3. Let d = o - 1935/92. Calculate the common denominator of d and -65/96.
96
Let r = -1133/137 - -1601129/193307. Let a = r + -33209/59262. Find the common denominator of a and -91/12.
84
Let b = -60 + 59. Let m(n) = -7*n - 4. Let k be m(b). Suppose 2*j - 6 = -l + 6*j, l - 9 = k*j. What is the least common multiple of 10 and l?
90
Let r = -11/361 - 9721/24548. Find the common denominator of 29/102 and r.
204
Suppose 0 = -4*p + 3*i - 2749 + 264, 4*p + 2520 = -4*i. Find the common denominator of 18/(-10)*(-230)/(-60) and -5*(-5)/(p/(-70)).
10
Suppose 0 = 8*l - 4*l - 32. Let t be 10/4 - 4/l. Suppose 3*y + b - 3 + 4 = 0, -t*y - 18 = 5*b. Calculate the smallest common multiple of 20 and y.
20
Calculate the common denominator of 0 + 1/1 + 15333/(-1076) and 121/744.
744
Let x be 15/(((-6)/9)/(50/(-45))). Suppose -29*a = -x*a - 88. What is the lowest common multiple of 32 and a?
352
Let b = -7549/2408 + 3/301. Let h be 6260/7 + (-10)/35. Let g = h + -1743/2. Calculate the common denominator of g and b.
8
Suppose 0 = -13*i + 6*i - 28. What is the common denominator of i - (-4)/((-168)/(-59)) and 40/27?
378
Let n(v) = 59*v - 107. Let t(o) = 27*o**2 - 2*o + 2. Let x be t(1). What is the lowest common multiple of n(2) and (x/(-7) - -3)*-7?
66
Let k be (16288540/(-672))/(-5) - (-3)/7. Let f = k - 19369/4. What is the common denominator of -113/20 and f?
120
Let c(s) = s**2 + 40*s - 135. What is the lowest common multiple of 6 and c(-47)?
582
Let n(v) = 6*v**2 + 5*v + 4. Calculate the lowest common multiple of n(-2) and ((-33)/(-3))/(61/122).
198
Let d(p) = 6*p**2 - 660*p + 6482. Calculate the smallest common multiple of d(10) and 12.
2892
Let x = 42 - -60. Suppose 2548*c - 2559*c = -198. What is the lowest common multiple of x and c?
306
Let u be (780/14)/(118/1770). Let m = -380096/455 + u. Find the common denominator of m and -8/11.
715
Let z = -26182 + 26260. What is the smallest common multiple of z and 650?
1950
Let t(l) = l**2 + 17*l + 65. Let o be t(-11). What is the lowest common multiple of (-1)/(o/(-32))*(-9)/12 and 44?
264
Let y be 2981/504 + (-17)/(-119). Let q = 487/56 - y. Find the common denominator of 69/4 and q.
36
Let f = -104 + 108. Calculate the common denominator of 1 - 117/825 - f/(-22) and -25/11.
275
Let u = 75131/13 - 178059677/30810. Find the common denominator of 43/33 and u.
26070
Let f be -1 + -3 + 38 + (-4)/(-2). Suppose f*r - 760 = -2*r. Calculate the smallest common multiple of r and 64.
320
Let o be (1/3)/(6*(-1)/(-54)). Suppose 2 = -q + 5*t - 0, -5 = -3*q + 4*t. Calculate the least common multiple of ((-7 - -8)*q)/(o/8) and 19.
152
Let f = -18257 + 365177/20. Find the common denominator of -17/2485 and f.
9940
Suppose 2*s - 61 = -13. Let m(i) = i**3 + i**2 + i + 300. Let j be m(0). Suppose -j + 246 = -3*t. What is the least common multiple of s and t?
72
Let u = -1977 + 1502523/760. Find the common denominator of 23/35 and u.
5320
Let x(b) be the first derivative of -b**4/4 - 2*b - 20. Let d be x(2). What is the smallest common multiple of (d - -9)/((-2)/60) and 3?
30
Let m(w) = -w**3 + w**2 + 7*w + 11. Let p = -12 + 31. What is the least common multiple of p and m(0)?
209
Calculate the common denominator of -107/180 and (-3)/(-78) + 31442/(-323505).
1260
Suppose -44 = 6*d - 5*d. Let i = d - -40. Find the common denominator of (6/((-450)/595))/(i/(-6)) and 59/2.
10
Let k = -8293/1020 + 152/51. Calculate the common denominator of (-33)/(-50)*35/9 and k.
60
Suppose 2*i + 94*m - 90*m - 5912 = 0, i = 2*m + 2972. Calculate the smallest common multiple of 399 and i.
20748
Let w = -15 + 78. What is the common denominator of -10/123 and -1 + 227/w + 18/63?
369
Calculate the lowest common multiple of 265 + 5*(-70)/(-50) and 44.
2992
Let d be 20*3*(-4)/(-12)*1. Let a(i) = -i - 5. Let z be a(-7). Suppose 5*m = z*k + 14, d = -k + 4*m + 7. Calculate the smallest common multiple of 15 and k.
15
Calculate the least common multiple of (-628)/1570 - (-2)/10*352 and 1000.
7000
Suppose -2*v = -2*l + l + 1760, -2*v + 4 = 0. Calculate the common denominator of ((-10)/8)/(18/58) and 37653/l + 4/(-42).
36
Let c(m) = m**3 - 13*m**2 + 30*m + 6. Let v be c(9). Find the common denominator of 59/9 and (-375)/v*(-12)/(-9).
36
Let t = -995/2 - -493. Let o = 28447 - 2332711/82. Find the common denominator of t and o.
82
Suppose -660 = -3*d - 7*g, -3*d + 98 = -g - 562. Calculate the lowest common multiple of d and 2222.
22220
Let z be (5 - 2) + 0 + -20. Let a(y) = y**2 + 18*y + 13. Let d be a(z). Let c(p) = p**2 + 4*p + 5. What is the smallest common multiple of 7 and c(d)?
35
Let k be 30/27 + 3/(-27) - -71. Suppose -d = 7*d - k. What is the least common multiple of 45 and d?
45
Let d = 21208 + -20584. What is the smallest common multiple of d and 104?
624
Let v = 28823 + -28306. Calculate the lowest common multiple of 517 and v.
517
Let b(g) = -2*g**2 - 4*g + 4. Let u be ((-4)/3)/((-7)/(-21)). Let i be b(u). Calculate the common denominator of (0 - 45/i)*15/18 and -107/24.
24
Suppose 3*j = 4*f + 330193, 4*f + 330198 = 2*j - 0*j. Let b = f - -9080259/110. Let a = -56/11 - b. Calculate the common denominator of a and 47/6.
30
Suppose -5*z = -4*w + 543, -w - 12*z + 134 = -15*z. Suppose 0 = 120*i - w*i + 816. What is the least common multiple of 132 and i?
528
Calculate the common denominator of 74/147 and (2/17)/(-1) + (-23680)/(-33660).
4851
Let g be (-8 + 10)*3/2. Let a = 8 - g. Suppose a*r + 4*u - 49 = 0, -2*u + 16 = 2*r - 4*u. What is the smallest common multiple of 9 and r?
9
Let m(d) = -31*d + 9. Suppose -4*v - v = -30. Let a be m(v). Find the common denominator of 53/18 and a/(-18) + (1 - 3)/(-8).
36
Let n(j) = -82*j - 4. What is the lowest common multiple of 16*((-2)/(-18) - 1015/(-261)) and n(-2)?
320
Find the common denominator of (9213/332)/((4 - 3) + (-403)/(-2)) and 44/189.
1890
Suppose -j + 457 = 2*g, 0 = 4*g + j - 4*j - 909. Let t = g + -1349/6. Let i = -1/52 + 133/156. Find the common denominator of t and i.
6
Suppose 2*o - 6 = 0, -18*o + 23*o = 4*p - 7053. Calculate the smallest common multiple of p and 9.
5301
Suppose 0 = 4*g + 7*q - 2*q - 280, 140 = 2*g + 3*q. Calculate the common denominator of -109/14 and 40/100 - (-32)/g.
14
Let b be 2647930/2772 - (-136)/306. Let u = b + -6695/7. What is the common denominator of u and 47/55?
330
Suppose 915*g = 936*g - 147. Calculate the lowest common multiple of 70 and g.
70
Let z = -44/2231 + -62693/327957. Find the common denominator of -15/49 and z.
147
Suppose 4*