-35284). Let n = b - -6/8821. Let r = -347 + n. What is the common denominator of r and -69/22?
44
Let x = -53 - -57. What is the lowest common multiple of x and 52/(4/(-6)*-3)?
52
Let g = -1/6915 - -408049/442560. Find the common denominator of g and 13/4.
64
Let r = 10356/5 + -1015223/490. What is the common denominator of r and -41/154?
1078
Let n = 147 + -51. Calculate the common denominator of -41/15 and -1 + 500/n + 2 + -2.
120
Let p = -56709 - -1701439/30. Calculate the common denominator of 179/30 and p.
30
Let i(h) = 219*h + 17. Let f be i(-7). Let b = f - -6095/4. Let y = 181 + -1263/7. What is the common denominator of y and b?
28
Let r(m) = m**2 + 3*m - 5. Let f be r(2). Suppose -f*h = -l + 4, -l - 3*h - h = -22. Calculate the least common multiple of (-1 - (-1 - 2)) + l and 22.
176
Suppose 80 = 4*j + d - 172, -2*j - d = -128. Suppose 0 = -6*g + j + 4. Calculate the smallest common multiple of g and 2.
22
Suppose 123*q + 180 = 138*q. Calculate the lowest common multiple of 284 and q.
852
Suppose 0 = r + 4*n - n - 185, r - 3*n = 215. Calculate the smallest common multiple of 35 and r.
1400
Let y(c) = c**3 - 8*c**2 + 18*c - 20. Let w = 150869227/94308 - 1/23577. Let f = w + -1592. What is the common denominator of y(6) and f?
4
Let a = -13753/4 + 3457. Let h = 7375/11 - 667. Find the common denominator of a and h.
44
Let j be ((-40)/15)/(-2) - (-2)/3. Suppose -50 = -j*o - 34. Calculate the least common multiple of 18 and o.
72
Find the common denominator of -73/68 and ((-11)/(-6) + -1)/((-3564)/(-8748)).
748
Let r = -509378 - -7636474/15. Let h = r + 300. Let a = h + -2087/120. What is the common denominator of -74/3 and a?
24
Let t = -935 + 28063/30. Let j = 407 - 3295/8. Calculate the common denominator of t and j.
120
Suppose 0 = -k + 4*n + 26, -3*n = -2*k - 2*n + 31. Let l = k - 68. What is the common denominator of 77/4 and (52/120)/((-2)/l)?
20
Let b be (-128223)/6*114/26. Let z = 93714 + b. Let q = -218/39 - z. Find the common denominator of -47/22 and q.
66
Suppose 0 = -3*j - 9329 + 2798. Let v = -113177/52 - j. Calculate the common denominator of -61/18 and v.
468
Suppose 2*r + 4*r - 102 = 0. What is the common denominator of ((-2)/(-1))/(2 + (-43)/r) and 75/44?
396
Let m = 2664582305/178 + -14969524. Let k = m + -1/89. Calculate the common denominator of k and 1/10.
10
Let h = 116697159/28 - 4168197. Let d = 1743/4 + h. Find the common denominator of d and -8/9.
63
Suppose -2*i - 27*x + 22*x + 45 = 0, 0 = -5*i + 2*x + 156. Calculate the lowest common multiple of i and 24.
120
Let v = 17 + 54. Let a = -68 + v. What is the smallest common multiple of 10 and a?
30
Suppose -356 + 370 = 2*b. What is the least common multiple of b and 733?
5131
Suppose -23 + 35 = 2*o. Suppose -o*h = -36 - 24. What is the lowest common multiple of 15 and h?
30
Let y(o) = o - 7. Let r be y(6). Let t be (45/(-20))/(r/(-4)). Find the common denominator of t/3 - 218/(-16) and 123/10.
40
What is the common denominator of 103/98 and 2/6 - (-6586)/(-4662)?
882
Suppose -2*z + 62 = 5*s, 5*s + 23 + 23 = z. Let g(v) = 6*v - 2. What is the lowest common multiple of g(5) and z?
252
Let i = -23 - -27. Suppose -i*v = 5*l - 88, -3*v = 2*l - 46 + 8. What is the common denominator of (l/12*2)/(-3) and -77/6?
18
Calculate the common denominator of 67/123 and (-29)/(((-30)/(-50))/(4/30)).
369
Let z = 21 + -29. Let m = z - -13. Suppose -3*n + m*r = -5*n, 0 = 5*n + 5*r - 15. What is the smallest common multiple of n and 2?
10
Suppose 0 = -20*n + 262 + 158. What is the least common multiple of n and (3 - -1) + (1 - -1)?
42
Suppose -5*d = 4*o + 61, -o = -5*d + 2*d + 11. Let y = o - -22. What is the least common multiple of (-1)/(40/(-12) - (-6)/2) and y?
24
Let z be (-54)/5*(-10)/(-62). Let v be 0 + -4 - (-14949)/2790. Let n = z - v. Calculate the common denominator of n and 19/5.
10
Let m = -23 - -18. Let b be -3 - (0 - 1) - 218. Calculate the common denominator of b/(-72) + m + 1 and -93/4.
36
Let b be 6/18 - 4/(-672)*-5930. Let z = 292/7 + b. Let y = 40967/272 + -2502/17. Find the common denominator of y and z.
16
Let t(w) = 6*w + 4. Let z be t(-1). Let d(q) = -2*q**3 + 2*q**2 + 2*q. What is the lowest common multiple of 6 and d(z)?
60
Suppose -25*k + 20*k + 600 = 0. Suppose 19*n - k = 14*n. Calculate the least common multiple of n and 40.
120
Let s = -3 + 2. Let y = -103743/10 - -10365. Calculate the common denominator of y and (0 - s) + 190/12.
30
Suppose -32*x = 21*x - 2862. What is the lowest common multiple of 243 and x?
486
Let t be 3*4/30 + 316/10. Suppose 5*a + t = 4*k + 132, 0 = -3*a - 5*k + 23. What is the least common multiple of a and 4?
16
Let b be (-2)/5 - 47/(-5). What is the common denominator of -1 - (-1290)/(-24)*(-11)/(-55) and (1 - 93/b) + -1?
12
Find the common denominator of 119/6 and 37/370 + 0 + (-346)/710.
426
What is the common denominator of -1/70 and 393/280 + (-8 - (-61)/8)?
70
What is the common denominator of -53/42 and (296/9324)/(14/(-996)*-4)?
294
Let o = 19237/3 + -461801/72. What is the common denominator of o and -61/54?
216
Suppose -3*v = -140 - 70. Let z(d) = -d**3 + 7*d**2 - d - 10. What is the lowest common multiple of z(6) and v?
140
Let h = 182285/34 + -5362. Find the common denominator of h and 6/8*31/(-4).
272
Let u be 6/4*10/5. Suppose 0*z - 4*z + 16 = 4*q, 0 = u*z - 5*q + 4. Suppose 10 = z*i + r, -4*i - 4*r + 25 - 9 = 0. What is the least common multiple of 4 and i?
12
Let c(y) = -2*y**2 - 11*y - 8. Let s be c(-5). What is the common denominator of (-4)/(-6) - 23/(-15) and s + (16/(-10) - (4 - 2))?
5
Suppose 2*u + 3*r = -5 + 38, -3*u = -2*r - 30. Suppose -w - u = -18. Calculate the lowest common multiple of w and 1.
6
Let f = -32 - -36. What is the common denominator of 3 - (-170)/f - 1 - 1 and 2/7?
14
Suppose 0*y - 2*y - 5*l = -11, -2*y + 3*l = -3. Suppose -4*b + 4 = 2*x + x, -3*b + 3*x = -y. What is the lowest common multiple of 10 and b?
10
Suppose -5*h = 3*n + 613 + 100, -n + 141 = -h. Let k = -93 - h. What is the smallest common multiple of 6 and k?
294
Suppose 3*h - 3 = 3*t + 48, -3*h + 5*t = -45. Calculate the lowest common multiple of h and 22.
220
Let b = 1161 - 1136. What is the lowest common multiple of b and 90?
450
Let g = 349128/11 - 31674. Let k = 5350/77 - g. Let q = 26/23 + -171/253. What is the common denominator of k and q?
77
Let w(o) = -15*o - 4. Let a be w(-4). Let y = a - 54. What is the lowest common multiple of 16 and y?
16
Let a(f) = f**2 + 19*f + 20. Let l be a(-14). Calculate the common denominator of l/55 + -2 + 0 and 1/25.
275
Let u = 273741323/18 + -15194083. Let j = u + -13772. What is the common denominator of j and 3/44?
396
Calculate the common denominator of (-15 - -9) + (-194)/(-12) and 73/8.
24
Suppose 0 = i - 6*i - 15. What is the common denominator of 83/6 and 29/4*i*3/(-18)?
24
Let f(j) = -5*j + 2*j - 1 + 10*j. Let w = 33 - 30. Calculate the lowest common multiple of 18 and f(w).
180
Suppose 0 = 4*d - 9*d - 4*p + 13, p - 2 = 0. Calculate the least common multiple of (-15)/1*58/(-174) and d.
5
Suppose t - 13 = -3*i, 5*i - 7 - 18 = -5*t. Let c = 36 + -149/4. Find the common denominator of c and ((-2)/15)/(i/(-177)).
20
Let o be (-4)/(-16)*4*-1. Let d be 1/1 - (o + -2). Suppose -d*s - 29 = -z - 3, 2*z - 36 = 4*s. Calculate the smallest common multiple of z and 7.
70
Suppose 4*p - 5*p = -14. Calculate the lowest common multiple of (-5)/(-3) - (-9)/27 and p.
14
Let p be 3 - (2 - (-4 - -4)). Let c = p + 13. What is the least common multiple of c and 12?
84
Suppose 0 = 6*a - 0*a - 18. Let r = 613/21 - 62/7. Find the common denominator of r and 1331/165 - (-1)/a.
15
Let x = -590 + 608. Let f(a) = -15*a**3 - 1. Calculate the lowest common multiple of f(-1) and x.
126
Let t = -54472463/12 + 4544652. Let x = -5274 + t. What is the common denominator of 1/24 and x?
24
Let k(s) = -s**3 - 10*s**2 - 8*s - 17. Let u be k(-8). Find the common denominator of (u/18)/(19/12) and 10/9.
171
Suppose 3*j - 5*s - 361 = -7*s, 0 = -3*j - 3*s + 360. What is the least common multiple of j and 55?
605
Let u be 10/85 - (-9726)/(-4641). Let q = u - -9179/546. Calculate the common denominator of 149/6 and q.
6
Let k be (-2)/5 - (336/15)/4. What is the common denominator of 38/(-40) + (-1)/2 and (-52)/(-216)*(