4. Let j be d(8). Suppose 3*o = -m - m + 12, -4*o - j = -2*m. Let q = -9 - -23. What is the least common multiple of q and m?
42
Suppose 0 = w - 0 - 5. Suppose 3*v = w*s - 58, 3*v + v - 5*s + 69 = 0. Let b = v + 31. Calculate the least common multiple of 8 and b.
40
What is the common denominator of 107/6 and 4 - (1446/72 - 1/4)?
6
Let p be (-3)/(-30)*-6*-5. Let y be p + (1 - (-14 + 2)). Suppose -y = 3*z + 5*v, 2*z + 4*v + 11 = -z. Calculate the least common multiple of 6 and z.
6
Suppose -4*k - 5*b + 185 = -69, 4*k = -b + 262. Calculate the smallest common multiple of k and 18.
198
Let p = 163 + -1957/12. Find the common denominator of p and -49/33.
132
Let p be 3/(-3) - (-1)/1. Suppose 0 = 7*w - p*w + 476. Calculate the common denominator of 49/9 and (1 + 2)/(w/(-10)).
306
Suppose -5*g + 4*g = 5. Let v be (g/10)/((-3)/6). Calculate the common denominator of 55/2 and -1 - -34 - v/2.
2
Let s = -19 + 19. Let f be 2/2*(-6 - s). Calculate the common denominator of 47/16 and f/33 - 414/(-220).
80
Let t(y) = -2*y**2 + 6*y + 5. Let q be t(5). Let j(g) = g**2 + 6*g + 2. Calculate the smallest common multiple of j(-8) and 6/((-18)/q)*2.
90
Suppose -i - 28 = 4*u, i + 18 = -5*u - 10. What is the common denominator of (3330/i)/9 - 4/14 and -49/11?
22
Suppose 4*j = 57 + 23. Calculate the least common multiple of ((-72)/(-104)*13)/((-11)/(-4) + -2) and j.
60
Suppose o - 4 = -l - 0*o, 4*o + 2 = -l. Suppose -61 + l = -11*t. Calculate the lowest common multiple of (-2 - (-7)/3)*3 and t.
5
Let q be (-2)/((-3)/16923*2). Suppose 3*r - 4*u = -q, -6*u = -4*u + 10. Calculate the common denominator of 31/2 and 2/(-13) + r/(-858).
22
Suppose -19 = -2*q - 3*n, -q - 4*n = -2*n - 12. Suppose -u + 6 + q = 0. Calculate the least common multiple of 5 and u.
40
Let o = 61/70 - 9/5. What is the common denominator of 56/25 and o?
350
Let u = -383839/26 + 14766. Find the common denominator of (1 + (-4)/8)*-95 and u.
26
Let p = -7433 - -52369/7. Let r = p + -67/14. Find the common denominator of r and 81/16.
16
Let p be 31100/45 - 4*1. Let a = p + -712. Let y = a - -61/18. What is the common denominator of -79/2 and y?
2
Suppose -22*a + 184 = 6 - 108. Suppose 4*b = b + 3*m + 18, -b - 2*m = -15. What is the least common multiple of a and b?
117
What is the lowest common multiple of (730/40 - -1)/(2/8) and 66?
462
Let u(c) = c + 64. What is the smallest common multiple of u(-27) and 3?
111
Let o(k) = -2197*k - 13. Let v be o(-4). Let b = v - 105209/12. Calculate the common denominator of 9/20 and b.
60
Let a be (-674)/(-8) - (-35)/(-140). Suppose 2*p + 68 = a. What is the least common multiple of 22 and p?
88
Let j(o) = 15*o + 16. Let v be j(-6). Let r = v + 96. What is the smallest common multiple of r and (-156)/(-9) - (-2)/3?
198
Suppose 4 + 10 = -2*d. Let t be d + 6 + 3*1597. Let x = t + -47857/10. What is the common denominator of 3/4 and x?
20
Let q = -21445 + 12831. Let z be 413289/48 + (-1 - (-7)/3). Let n = q + z. What is the common denominator of 89/16 and n?
48
Let m(v) = v**2 - 5*v + 25. What is the least common multiple of 27 and m(4)?
189
Let t(h) = -h - 2. Suppose -z = -0*z - 1. Calculate the lowest common multiple of z/(-1) - (-20)/4*3 and t(-6).
28
Suppose h = -h + 3*m + 1453, -5*m = 25. Let x be ((-1)/3)/(6/(-13383)). Let v = h - x. Calculate the common denominator of v and -99/10.
10
Let v = -907 - -575. Let t = v + 571/2. What is the common denominator of t and -54/7?
14
Let t(h) = 2*h**2 - 19*h + 4. Let m(y) = -y**2 - 24*y - 12. Let p be m(-23). Calculate the least common multiple of 7 and t(p).
259
Suppose -2*g + 7 = 1. What is the least common multiple of g and 9?
9
Let y = -9/3404 + -21893/7659. Find the common denominator of y and 41/90.
180
Let l be -2 - -2 - -2 - -17. Let h = l - 17. What is the least common multiple of h and (-2)/(-3) - (-32)/24?
2
Let a be ((-66)/(-55))/((-2)/(-5)). Suppose a*d + 26 = 32. What is the least common multiple of 1 and d?
2
Let n be -2 - (1 - 3) - 42. What is the common denominator of -3*(-7)/(-16) + -1 and (-8)/28 + (-1167)/n?
16
Let u = 253/116 - -2/29. Find the common denominator of u and (2/(-22))/((-1834)/(-203) - 9).
44
Find the common denominator of 27/10 and 3/(-1521)*3/12*-249.
3380
Let z = 509/7 + -8011/112. What is the common denominator of 41/14 + -3 - -2 and z?
112
Let a = 1249/6 + -208. Let q = -5/2287 - -304231/27444. What is the common denominator of a and q?
12
Let j = 1837/5 - 3553/10. Suppose -h + 5 = 9. Find the common denominator of ((-70)/3 - h) + -4 and j.
30
Let f(v) = -v - 14. Let b be f(-14). Suppose -4*m + b*m - 152 = 0. What is the common denominator of ((-13)/(-52))/(4/(-62)) and m?
8
Let n be (-1)/4 + 51/12. Suppose -3*y - 5*s = -17, n*y - 5*s + 2*s - 13 = 0. Calculate the common denominator of 85/4 and y - ((-10)/24 - 4).
12
What is the common denominator of 181/30 and 3/45*(-2 + (-1495)/(-10))?
30
Let a = 3617/7632 + 113/212. Find the common denominator of 107/208 and a.
1872
Let l be ((-8)/(-20))/((-1)/(-10)). Let g be -2*(12/(-3))/(-4). Calculate the least common multiple of -2*(l + -3)*g and 8.
8
Suppose 0 = 5*t - 16 - 4. Find the common denominator of 0 - (2 + 129/66) and (-4)/t - 39/(-66).
22
Let j be 3*(-1)/(15/5). Let c = 2663/372 - 426/31. What is the common denominator of (-3)/(36/(-21)) - (j + -2) and c?
12
Let p(t) = t**3 + 5*t**2 + 2*t + 9. Let w be p(-5). What is the common denominator of 17/32 and ((-25)/(-20) + w)*212/(-22)?
352
Suppose 252 = q - 3*i, 0 = 2*q + 4*i - i - 540. Calculate the least common multiple of q and 6.
264
Let l(z) = -z**3 - 9*z**2 - 3*z + 13. Let s = -1 - -19. Suppose d - s = 2. What is the smallest common multiple of d and l(-9)?
40
Let v = -797 - -1679/2. Find the common denominator of v and -109/154.
154
Let y = -1119311/36 - -31089. Find the common denominator of 47/12 and y.
36
Calculate the common denominator of -93/2 and -13*22/3289 + (-3858)/(-2576).
56
Calculate the common denominator of 22 - (6 - (15 - 4)) and -19/20.
20
Find the common denominator of -2 + (-7)/(-5) + 5346/5060 and (-3)/(-2)*(-111)/33.
506
Let o(h) = h**3 + 5*h**2 + 6*h + 5. Let n be o(7). Suppose 3*q - n = 5*x - 2280, 4*q + 1650 = 5*x. What is the common denominator of (-2)/(-5) - x/40 and 36/5?
20
Let q(w) = 2*w**2 - w. Let x = 571 + -562. Calculate the smallest common multiple of x and q(1).
9
Suppose 3*l + 3*l = 54. Calculate the common denominator of -67/27 and ((-177)/33)/(l/3).
297
Suppose 0 = i + 5, -4*f - 4*i + 71 = -3*i. Let d = f + -13. Calculate the lowest common multiple of d and 3.
6
Let q(m) = 14*m - 17. Let k be q(4). Suppose 0 = k*g - 35*g - 40. Calculate the least common multiple of g and 81.
810
Let j be (-4)/(-14) - (-4052)/(-13300). Let b = -101709/1900 + j. Let w = b + 235/4. Calculate the common denominator of w and -37.
5
Let w(l) = l**3 + 17*l**2 + 17*l + 60. Calculate the lowest common multiple of 10 and w(-15).
510
Suppose -5*z = -0*z + 6630. Let p = 393 - z. Let n = p - 6839/4. What is the common denominator of n and -83/18?
36
Let t(z) = -z - 15. Let p(h) = 5*h + 7. Let q be p(-5). Let o(c) = -c**3 - c**2 + 4*c + 4. Calculate the lowest common multiple of o(-3) and t(q).
30
Suppose 0 = -4*s + 5*s - 3. Suppose -3*n + 105 = -3*y, -s*y - 5*n = -n + 119. What is the common denominator of y and 87/2?
2
Let h = 434301689/2975154 - 1/70837. Let k = h - 778/7. Let l = 33 - k. Calculate the common denominator of -33/8 and l.
24
Let h = -2 + 0. Let p(l) = -l**3 - 7*l**2 - 8*l - 8. Let c be p(-6). Find the common denominator of 324/16*c/h and 18.
2
Let u = -2279/20 + 686/5. Find the common denominator of -87/40 and u.
40
Let a = 4155079447 + -444589323913/107. Let k = -39037 + a. Let p = k + 16415/642. Calculate the common denominator of p and 51/20.
60
What is the common denominator of -137/156 and (-4)/(-858)*(-23 - (-2193)/34)?
1716
Suppose 3*r - 2*v - 644 = 0, -r = 6*v - 10*v - 208. What is the smallest common multiple of r and 27?
216
Suppose -2*b = -8, f + 2*f + 11 = 2*b. Let r be 1*(f - -4 - -1). What is the common denominator of 43/12 and (-6)/10*(-27)/r?
60
What is the lowest common multiple of 316 and (0 - (-6)/8) + (-770)/(-40)?
1580
Let v = -16195/36 + 1343/3. What is the common denominator of v and -83/400?
3600
Let w = 14275 - 199935/14. Find