 is the common denominator of ((-3)/(-12))/(m/(-205)) and -27/4?
4
Let f be (-14 + 11)/((-3)/(-8)). Let o(q) = 5*q**2 + 4. Calculate the smallest common multiple of o(-2) and 9 - 4/(f/(-6)).
24
Calculate the common denominator of -5/9 and 24/(-1872)*(-138)/8.
936
Suppose -2*w + 20 = 2*a, -4*a - 2*w + 3*w + 45 = 0. Let s be (-45)/(-25)*20/6. Suppose -8*p + s*p + 22 = 0. What is the least common multiple of p and a?
11
Let u be 6/2 - 582*158/(-64). Let v = 1439 - u. Calculate the common denominator of v and -57/4.
16
Calculate the common denominator of -25/22 and (21/(-574))/(4/(44/3)).
902
Let g be (-2)/(-3) + 3 + (-15)/9. Suppose -4*w + 3*b = 5*b, 0 = 2*w - 4*b. Let i = g + w. What is the smallest common multiple of i and 4?
4
Suppose 3*f - 3*i = -13 - 8, 2*f + 9 = i. What is the smallest common multiple of f - (2 + -3 + -9) and 6?
24
Suppose k - 5*b = 25, 4*b = 19*k - 16*k - 20. Calculate the common denominator of 146/144 - k*(1 - 0) and -65/18.
72
Let x(a) = -13*a + 81. Calculate the lowest common multiple of x(-7) and (2 + -3)/(1/(-18)).
1548
Suppose -5*x - 5 = 0, -x - 18 = -n + x. Let y be (0 + -3)/(6/n). Calculate the common denominator of (-190)/4*y/56 and 31/22.
154
Let u be (-20)/15 + 116/6. Find the common denominator of 184/(-32)*3/u and -73/24.
24
Let o be (-3)/4 + (-4431)/12. Let a = 42067 - 169755/4. Let x = a - o. What is the common denominator of -145/18 and x?
36
Let z = 28 - 20. Let m = z + -2. Calculate the lowest common multiple of m and 78.
78
Let m be 10/4*(-4)/5. Calculate the common denominator of (-49)/(-2)*(0 + m) and -4*(3/7 - 1).
7
Let j(m) = -m**2 + m + 8. Suppose 5*l = -4 - 6. What is the lowest common multiple of j(l) and 12?
12
Let n = 26 - 27. Let q be 14 + n + (7 - 3). Let y = q + -16. Calculate the lowest common multiple of y and 12.
12
Let o be ((-6)/9)/((-88)/(-916069)). Suppose 2*y - 12084 - 1788 = 0. Let g = y + o. Calculate the common denominator of -5/12 and g.
12
Find the common denominator of -111/28 and 8/(-168)*65 + -1.
84
Let c be 1145/115 - (3 - 3). Let r = -5027/230 + c. What is the common denominator of -57/20 and r?
20
Let l = 1 + 2. Suppose -3*u - 5*n = -5, 4*n = -u + l*u - 18. Suppose -2*w = -6*h + h - 30, u*w - 90 = 5*h. Calculate the smallest common multiple of w and 14.
140
Suppose -44 = -0*z - 4*z. Suppose 7*o = z + 52. Suppose 0 = 5*t + 5*u - 55, u - 4*u - 12 = -2*t. Calculate the least common multiple of o and t.
9
Let i = 2/35421 + 696593/354210. Calculate the common denominator of i and -43/3.
30
Calculate the lowest common multiple of 252 and ((-3483)/(-258))/(2/4).
756
Let j = 3021 - 45374/15. Find the common denominator of j and 73/30.
30
Let c be 2 - (18916/6)/((-1)/6). Let p = c + -340409/18. Calculate the common denominator of -151/6 and p.
18
Let f(r) = r**2 - 6*r - 35. Calculate the lowest common multiple of 24 and f(11).
120
Let i be (3/2)/((-3)/(-8)). Let u(m) = -29*m**3 + 3*m**2 + m + 1. Let x be u(i). Find the common denominator of 2/3 and x/84 - 2/7.
12
Let m = 76 - 50. Suppose -z = m - 36. What is the lowest common multiple of z and 20?
20
Let v = -864 + 10355/12. Calculate the common denominator of v and 49/245*(1 + 782/8).
12
Suppose 0 = -6*w - 1295 + 1535. What is the least common multiple of w and 10?
40
Let b(h) = -h**3 + 14*h**2 - h + 16. Calculate the least common multiple of 7 and b(14).
14
What is the common denominator of 11/90 and (77 + -1)*((-12)/6)/90?
90
Let c(i) = i**2 - 4*i + 2. Let s be c(4). Suppose -2*g + 4*f + 5 + 1 = 0, -5*g = s*f - 15. What is the lowest common multiple of g and 4?
12
Let r = -44 - -34. What is the common denominator of -56/15 and 0/(-10) - 111/r?
30
Suppose -6*f + 10*f - 240 = 0. Calculate the lowest common multiple of 60 and f.
60
Find the common denominator of (-244)/32 + 2/1 and (62/(-10) - -4)/(24/15).
8
Let p be -2 - (19 - 3)/(-4). Suppose -4*w = -p*i, -5*w + 0*w + 3 = -4*i. Let k(j) = -5*j - 5. What is the lowest common multiple of 8 and k(i)?
40
Suppose d + t - 169 = 0, 6*t - 11*t = 2*d - 350. Calculate the lowest common multiple of d and 45.
495
Let o = 106933/24 - 4460. Calculate the common denominator of o and -125/36.
72
Let k = 20 - 7. Suppose 1 = -4*i + k. Suppose 3 + 1 = -2*t + 4*a, 5*t - 18 = 3*a. What is the least common multiple of i and t?
6
Let m = -4/2037 - 60407/12222. Find the common denominator of m and -83/112.
1008
Let i(j) = 58*j - 15. Calculate the lowest common multiple of i(3) and 9.
477
Let i = 51 + 21. Calculate the smallest common multiple of 12 - (-5)/(-2)*i/60 and 18.
18
Let s be (-22)/18 + (-6)/(-27). Calculate the smallest common multiple of (10/15)/(s/(-15)) and 8.
40
Let r(f) = -f**3 - 7*f**2 - 9*f + 11. What is the lowest common multiple of r(-5) and 52?
156
Let v = 23 - 31. Let o(n) = -n**3 - 9*n**2 - 5*n + 13. What is the common denominator of o(v) and -20/3?
3
Let r = -23 + 27. Suppose r*z + 20 = 0, -2*z + 38 = 4*y - 0*z. Suppose -6*s - y = -60. Calculate the lowest common multiple of s and 4.
8
Let a = 23 - 20. Suppose -29 = -r + a*v + 8, 2*r + 4*v - 104 = 0. What is the smallest common multiple of (-3)/(1 + (-5)/2) and r?
46
What is the least common multiple of 243 and 3 + (-7 - 56)/(-7)?
972
Let n = 8 + 0. Let t be 100/n + 2/(-4). Suppose 2*r + x - t = 0, -3*x = -0*r + 4*r - 20. Calculate the least common multiple of 9 and r.
72
Let l = 156 - 136. What is the least common multiple of l and 140?
140
Let f = -4 - -12. Suppose 0*d = -5*d. Suppose 0 = 4*u - 5*k - 64, 0*u + u + 3*k - 16 = d. What is the smallest common multiple of u and f?
16
Suppose 5 = -5*x + 10. Suppose 3 + x = 4*u. Let r = 3 + u. What is the smallest common multiple of r and 10?
20
Let d = 12287/5652 - 84/157. Find the common denominator of 125/48 and d.
144
Let j = 402 + -358. Calculate the lowest common multiple of 80 and j.
880
Let o = 387 - 2411/6. What is the common denominator of -28/15 and o?
30
Calculate the least common multiple of ((-228)/(-16))/((-54)/(-288)) and 7.
532
Suppose -21*s = -4*s - 2176. Calculate the lowest common multiple of s and 192.
384
Calculate the common denominator of 434/(-552) + (-8)/32 and 13/42.
966
Suppose c = -4*h - 17, h - 6*h - 10 = -c. Let q = -6 - c. Find the common denominator of (-183)/(-27) - (q - -2) and -55/9.
9
Calculate the least common multiple of (24/(-21))/((-20)/420) and 80.
240
Let o = -14 + 44. Let w(j) = -3*j**2 + 10*j + 1. What is the least common multiple of w(2) and o?
90
Let r = 3 - -4. Let v(d) = 2*d + 30. Let t be v(10). Let p = t - 47. What is the lowest common multiple of r and p?
21
Let c = 11351/8 + -1408. Find the common denominator of c and 74/105.
840
Let v(b) = -b + 29. Let i be v(0). Suppose -13 - i = -3*n. What is the smallest common multiple of n and 4?
28
Suppose 0 = -2*l + 4*l - 10. Suppose -27 + 12 = -z + a, -4*z + 57 = -l*a. What is the smallest common multiple of z and 50?
450
Let q(k) = -k**2 - 5*k - 3. Let s be q(-4). Calculate the common denominator of -3*s/((-54)/417) and -13/20.
60
Let x(p) = -p**3 + p**2 - 8. What is the least common multiple of 36 and x(-4)?
72
Let p be (2/6)/(4/24). Suppose 3*o - 37 = 4*c, 4*c = p*o - 7*o + 51. Suppose -2*v + 11 + o = 0. What is the lowest common multiple of v and 7?
77
Suppose 5*w = -10, x - 2*x - 3*w = -30. Let b = -8274 - -8318. Calculate the smallest common multiple of b and x.
396
Let i = 2175 + -21733/10. Suppose -3*g + 7*g = -8. Find the common denominator of ((-32)/(-54) + g)*6 and i.
90
Let s = 3349853/2126840 + -2/53171. Calculate the common denominator of s and -75/4.
40
Let a(v) = -5*v + 3. Let i be (2 - 3)*(-3 + 0). Suppose -5*d + x + 80 = 0, 2*d + 16 = i*d - 5*x. What is the smallest common multiple of a(-3) and d?
144
Suppose -3*n + 2*n - 5*x = 5, 0 = -3*n + x - 15. Let i(z) = -z**2 - 6*z - 3. Calculate the smallest common multiple of i(n) and 16.
16
Let j = -2667590/119 - -22417. What is the common denominator of j and 33/119?
119
Suppose -7*z + 10 = -2*z. Suppose 3*v = i - 4, -z*i + 6*v + 7 = v. Calculate the common denominator of i*3*38/4 and 49/8.
8
Suppose -l + 24 = 3*j, -4*l + 0*j - 4*j + 120 = 0. Let c = 66 - l. What is the least common multiple of c and 30?
330
Suppose 4*y = 2*y + 5*m - 209, -4*y + 5*m - 413 = 0. What is the common denominator of -46/27 and y/24 + 1/2?
108
Let f