 -2240951975792/2495. Let r = p + -3/499. Find the common denominator of r and q.
5
Let r(l) = l**2 - 19*l - 4. Calculate the least common multiple of r(21) and 3*(1 - 7/(-3)).
190
Let i = 10 + 5. Suppose y + i = -2*y. What is the common denominator of 18/7 and y?
7
Suppose 5*j - 2*u - 39434 - 5418 = 0, 2*j = -2*u + 17938. Let o = 179457/20 - j. What is the common denominator of -9/2 and o?
20
Suppose 3*b + 493 - 11992 = 0. Let u = -84311/22 + b. Calculate the common denominator of u and -125/12.
132
Let y = -4 + 14. What is the least common multiple of y and ((-210)/40*-8)/3?
70
Calculate the common denominator of -97/8 and 193/40 - (-26 - -28).
40
Let c = -1/44 + -1337/220. Calculate the common denominator of c and -14/11.
110
Let x = -306287/24 - -12757. Find the common denominator of 33/47 and x.
1128
Let t(q) = 12*q + 14. Calculate the smallest common multiple of t(0) and 24.
168
Suppose j + 117 = -3. Let o(k) = -1365*k - 1. Let z be o(1). Find the common denominator of (-2)/(-10) + z/j and -107/12.
12
Let c be 16946501/1170 - (-1)/5. Let z = 14477 - c. Let v = 1 - -1/12. Calculate the common denominator of v and z.
36
Let u(r) = r - 6. Let p be u(4). Calculate the least common multiple of (-8 + 28)*p/(-2) and 4.
20
Suppose -3*x + f + 18 = 0, 4*x - 3*f = 6 + 13. What is the lowest common multiple of 50 and x?
350
Find the common denominator of 109/12 and 1/(-20) - 1 - -6.
60
Let i = -74727/22 + 3396. Suppose 4*d = -0*d + 112. Find the common denominator of i and (166/d - 3) + -3.
154
Suppose 3*k + 1 = 7. Let i = -20 + 32. Suppose -q = 2*f - 13, -2*q - 7 = -5*f + i. Calculate the lowest common multiple of f and k.
10
Let v be (-2)/(3/2 - 2). Suppose -2*a = -2*b + v*b - 146, -2*a = 5*b - 353. Calculate the common denominator of (-12)/16 + b/(-8) and 97/2.
8
Calculate the least common multiple of 9 + 63/7 - (-4)/(-1) and 12.
84
Suppose -3*t - 3*r = -102, 2*t + 5*r - 42 = 29. Let p = 38 - t. Let v = 8 + 3. Calculate the lowest common multiple of v and p.
55
Let j = 398 - 377. What is the lowest common multiple of j and 222?
1554
Let w = 477 - -1333. Calculate the lowest common multiple of w and 12.
10860
Let i be ((-2)/3)/(416/9808824) - -1. Let z = i + 15716. What is the common denominator of 59/2 and z?
26
Let d = -43719 - -1748851/40. What is the common denominator of -69/50 and d?
200
Let r(a) = 9*a + 30. Calculate the least common multiple of 19 and r(-3).
57
Suppose -5*z - 7 + 2 = 0. Let d = z - -7. What is the smallest common multiple of d and 7?
42
Let v = 11 + -6. Let y = -90 - -108. Calculate the smallest common multiple of v and 1/(3/(y - 0)).
30
Suppose 0 = -a - v + 401, -2*v = -a - v + 391. Calculate the smallest common multiple of a and 7.
2772
Let f(d) = -d + 30. What is the smallest common multiple of 51 and f(3)?
459
Let r be 12/(-8) + (-22)/(-4). Suppose -r*n = -2*g + 2 - 14, 0 = 3*n + 3*g. What is the common denominator of 20/72*n/2 and 55/12?
36
Let l(c) = 2*c**3 + 4*c**2 - 8*c - 21. Calculate the smallest common multiple of 153 and l(3).
765
Let f(u) = 5*u - 20. Let b be f(8). Let o = -5 - -12. Suppose -12*t + b = -o*t. Calculate the least common multiple of t and 7.
28
Let a = 7458/1235 - 77/13. What is the common denominator of -27/152 and a?
760
Let g(j) = -365*j**2 - 23*j + 0 + 2 + 29*j. Let q be g(-4). Calculate the common denominator of -51/4 and (-4)/(-14) - q/504.
12
Suppose -2*z = 3*z + a - 1, -3*z + 2*a - 2 = 0. Suppose z = 7*l + 68 - 96. Calculate the smallest common multiple of l and 68.
68
Let q be 3 + 2 + 18430/2104. Let s be 2114/1052 + -14 + 12. Let p = s - q. What is the common denominator of 19/16 and p?
16
Calculate the common denominator of (-1 + (-1)/6)*624/(-3312) and 61/20.
4140
Let d be 0*((-10)/(-4) - 2). Suppose 0 = 3*c + 2*a + 142, -c + 2*a - 6*a - 44 = d. Calculate the common denominator of ((-3)/(-10))/(c/(-8)) and -69/14.
140
Suppose -f + 0*f + 2*g + 63 = 0, 5*f - g - 315 = 0. Calculate the smallest common multiple of f and 9.
63
Let m = 16831 + -34358. Let f = -280521/16 - m. What is the common denominator of -17/20 and f?
80
Suppose -82 = -2*w + o, -5*w + 2*o + 131 = -73. Suppose -12*b = -w + 4. What is the lowest common multiple of b and 14?
42
Suppose -3*f = -4*s - 40, 36 = 4*f - 0*s - s. Calculate the least common multiple of (-9)/(-12) + -1 + 18/f and 10.
10
Suppose x - 49 = -6*x. Suppose -10 - 4 = -2*i. Let z = 10 + i. What is the smallest common multiple of z and x?
119
Calculate the common denominator of (-27)/1620*(657/4)/(-3) and -13/11.
880
Suppose 12 = 3*q, 2*k - 4 = -0*q + q. Suppose m - k*m = -66. What is the common denominator of 133/6 and m/(-5) + (-16)/40?
30
Suppose 2*i - 4*i + 132005 = -3*h, 3*i = -3*h + 198015. Let g = -2375993/36 + i. What is the common denominator of 85/2 and g?
36
Suppose 5*m + 158374 = 4*j, -5*m = -2*j + 143805 + 14567. Let o = -950357/30 - m. Find the common denominator of o and 12/(-5)*(-108)/(-32).
30
Suppose 2*i - o + 24 = 0, -2*i - o - o = 12. Calculate the common denominator of 178/12 + -2 + (i - -10) and -40/3.
6
Suppose -2*j - 1425 = 3*j. Find the common denominator of -37/18 and (-1)/10*j/2.
36
Let s(f) = -f - 2. Let m = 13 + -15. Let q be s(m). What is the least common multiple of 6 + -4 - (q + -10) and 16?
48
Let d(v) = v**2 - 4*v + 2*v + 2 - v**3 + 10. Calculate the smallest common multiple of 24 and d(0).
24
Suppose -2008*d + 99 = -1975*d. Calculate the smallest common multiple of d and (1 - (2 - 2))*51.
51
Let c(w) be the second derivative of -w**5/20 + w**4/4 + 5*w**3/3 + 2*w**2 + 13*w. What is the smallest common multiple of 34 and c(5)?
68
Let k(m) = -4*m - 9. Let f be k(-3). Suppose -f*s - 6 = -4*s. What is the least common multiple of 8 and s?
24
Let i = -88/15 + -419/30. Find the common denominator of i and 41/3 - (0 + 1).
6
Let p(i) = i - 3. Let g(t) = 1. Let y(q) = 2*g(q) + p(q). What is the smallest common multiple of y(5) and ((-16)/(-10))/(-1 - 42/(-30))?
4
Let c be (-2)/7 - 2*164319/(-252). Let h = -1319 + c. What is the common denominator of h and 37/2?
6
Let t = 20499 + -2439410/119. What is the common denominator of t and -47/4?
476
Let a = 16626/59 + -3781819/13452. Find the common denominator of a and 151/96.
1824
Let g = 42 - 38. Suppose g*a = 10*a - 12. Calculate the lowest common multiple of a and 1.
2
Suppose -25*f + 24*f + 33 = 0. Calculate the least common multiple of f and -4*((-15)/(-2))/(-5).
66
Suppose 2*j - 54 + 8 = 0. Suppose 0 = 5*a + 3 - j. Suppose -a*g = g - 80. What is the lowest common multiple of g and 2?
16
Let a = 6 + 5. Suppose -5*h + 23 = -7. What is the smallest common multiple of a + 1/2*-2 and h?
30
Let b = 8589/4 - 2137. What is the common denominator of -16 and b?
4
Let h = -2497/234 - -107/26. Let c be (-61)/7 + 24/(-84). What is the common denominator of h and (-915)/(-20)*(-2)/c?
18
Let n be 40/(-6) - (-4)/6. Let s = 4 + n. Let k = s + 12. Calculate the smallest common multiple of k and 19.
190
Let d(w) = -9*w + 1. Suppose 4*q - 2*c + 21 = 3*c, 3*q - 3*c + 12 = 0. Let u be d(q). Calculate the common denominator of 81/34 and (-1)/(1/(388/u)).
34
Let k = 141401/7014 - -8/1169. Calculate the common denominator of -11/60 and k.
60
Let g be 1 + 1366/(-147) + 2. Let t = g + -2/49. Find the common denominator of t and -64/9.
9
Suppose 0 = b + x + 87, 0 = 4*b - 4*x - 0*x + 324. Calculate the common denominator of -13/14 and (42/80)/((-18)/b).
140
Let s = -12 + -15. Let t = 37 + s. Let g(d) = -d**3 + 5*d**2 + 7*d + 6. What is the lowest common multiple of t and g(6)?
60
Let o = 508 + -340. Calculate the smallest common multiple of 140 and o.
840
Suppose 2*d + 4*u + 0 - 4 = 0, 4*u - 10 = -3*d. Let c be (3/d)/(1/4). Suppose 0 = c*i + i - 12. Calculate the lowest common multiple of i and 11.
44
Let n = 102 + -1637/16. What is the common denominator of 15/8 and n?
16
Let i = 8485/11 - 769. What is the common denominator of -45/91 and i?
1001
Let m = 1/2742935 + -56625150151/30172285. Let t = m - -3751/2. Find the common denominator of t and -37/18.
198
Find the common denominator of ((-120)/210)/(6/(-28)) and -131/6.
6
Calculate the common denominator of (146/2)/(64*(-16)/32) and 93/104.
416
Suppose 4*n - 35 - 93 = 0. Calculate the lowest common multiple of n and 40.
160
Calculate the lowest common 