12)/6 + 130334/11740. Let s = 1/587 - v. What is the common denominator of -39/16 and s?
80
Let v = -5/84 + 1/420. What is the common denominator of -39 and v?
35
Let w = 423 - 291. What is the lowest common multiple of 24 and w?
264
Suppose 6*p = 2*p + 20. Suppose 4*a + 17 = 5*v, -p*v + 3*a + 23 = 2*a. What is the least common multiple of 5/(15/12) + 2 and v?
30
Find the common denominator of -53/66 and (-1560)/396*(-8)/20.
66
Suppose 0*p + p = 2*k - 82, 3*p = -2*k + 74. What is the smallest common multiple of k and 10?
40
Let o = 1000183/33 + -30311. Calculate the common denominator of 64/3 and o.
33
Suppose -3*a - 3870 = -a. Find the common denominator of 107/20 and 2/(-24)*(a/(-70))/3.
280
What is the common denominator of ((-6)/720*-12)/((-9)/(-134)) and -101/20?
180
Suppose -x = 31 - 26. Calculate the common denominator of 31/8 and 7*(1 - (x/(-6) - 0)).
24
Let r = -46/209 - 12105/2926. Calculate the common denominator of r and -55/38.
266
Suppose 4*c - 700 = -5*r + c, -3*r + 3*c = -420. What is the smallest common multiple of r and 50?
700
Let u be 3*-1*(-2 - -1). Suppose 13*k - u*k - 120 = 0. What is the least common multiple of 3 and k?
12
Let s be (-332)/(-2) + (-4 - -7). Suppose -5*k + s = 3*w - w, -3*w + 6 = 0. Calculate the least common multiple of 11 and k.
33
Suppose 310 = 3*q - 5*v, -4*q + v + 0*v = -385. What is the least common multiple of 57 and q?
285
Let b = -549/25 - -8807/450. Let h = 1009/2 + -462. What is the common denominator of b and h?
18
Let x = 76 + -94. What is the common denominator of ((-1)/2 + -2)*(-39)/x and -65/3?
12
Suppose 3*w + 2*r + 5 = 354, -3*w - 5*r + 346 = 0. Calculate the common denominator of 52/w + (-142)/(-18) and 77/10.
30
Let d be (-1869583 - 0)*(-5 - -4). Let k = d - 26195123/14. Let p = -1495 - k. Calculate the common denominator of p and 16/3.
42
Suppose 0 = 2*m - 4 + 2. Calculate the lowest common multiple of 7 and (-33)/(-9)*3/m.
77
Suppose r = -17 - 9. Let v = r - -44. Calculate the lowest common multiple of 12 and v.
36
Suppose 4*z - m - 306 + 22 = 0, -m = 2*z - 148. Calculate the smallest common multiple of z and 72.
72
Suppose -2*n + c + 34 = 0, 0*c = -n - 2*c + 12. What is the lowest common multiple of 3 and (-4)/((-1)/(3 - 44/n))?
3
Let h = 309 + -301. What is the lowest common multiple of h and 178?
712
Suppose 25*q - 26*q + 31 = 0. Calculate the smallest common multiple of q and 4.
124
Let o = -1761 - -8846/5. Let m = 51 - 11. Find the common denominator of o and 20/50 + 399/m.
40
Let w(o) = -20*o - 50. Let z be w(-6). Let d(i) = -i**2 - 6*i - 1. Calculate the least common multiple of 0 + (-68)/(-7) - (-20)/z and d(-5).
20
Let a = -1957 - -9842/5. Calculate the common denominator of a and 4 - (-3653)/(-546) - (-1)/(-6).
35
Let m be 184895/(-42) + -5 + 8/(-14). Let c = -4398 - m. Calculate the common denominator of -86/15 and c.
30
Let z(p) = 4*p**2 - 4*p + 41. Let c be z(-12). Calculate the common denominator of -39/10 and (1*(1 - 3))/((-152)/c).
20
Suppose -6*r + 3*r = -6. Suppose 2 = -2*h - z, 2*h - 3*z + 4 = -r*h. What is the common denominator of -15/16 and (-2)/(((-28)/(-41))/h)?
112
Let l(c) = c**3 + 3*c**2 + 4*c + 5. Let w be l(-4). Find the common denominator of 56/11 and w/72 + (-951)/216.
99
Let m = 160483/19335 - 1/7734. Let j = 77/31 - 733/682. Calculate the common denominator of m and j.
110
Let j = -2 - -7. Suppose j*y - 3*y = 12. What is the common denominator of 55/y*(-9)/(-18) and 95/16?
48
Suppose 5*o - 2*r - 7 = -0*r, 3*o = -3*r. Let x be (21077/70)/(o - 0). Let i = 300 - x. What is the common denominator of i and -9?
10
What is the smallest common multiple of 49 and 18/(-8 + 14) - (-213 + -1)?
1519
What is the common denominator of -18/187 and (-45)/(-18)*(-244)/(-1360)?
1496
Let y be -1 + 1 + 2 + 102. Suppose 2*t - 3*l - 1 = 83, -l = 3*t - y. Calculate the lowest common multiple of 2 and t.
36
Suppose -8 = -3*p + 7*p. Let r be (-2 - -3)/(p/(-36)). Suppose -2*v + 4 = -4*v + 2*i, -v + 5*i - r = 0. Calculate the least common multiple of 8 and v.
8
Find the common denominator of (1 - (-1)/(-72))/((-153)/(-306)) and 121/6.
36
Suppose -3*d = -2*v + 6*v - 100, 5*v = -3*d + 122. What is the common denominator of 19/54 and 5/27*v + -3?
54
Suppose 5*u - 64 = -3*o, -86 = -5*o - 0*u + 2*u. Suppose 0 = -3*h + 41 + 40. Calculate the smallest common multiple of o and h.
54
Let w = 38072 - 1065899/28. What is the common denominator of w and (-6)/(-8)*(-1206)/(-297)?
308
Let l(q) = 308*q + 2. Let x be l(3). Let h be (-2 + 7)/(2/8*-1). Calculate the common denominator of -91/12 and (-1)/5 + x/h.
12
Calculate the common denominator of 23/2 and (852/(-240))/(3/2).
30
Let m = 1086 + -1039. Calculate the common denominator of m and 79/34.
34
Let x = 1562 - 1554. What is the smallest common multiple of 442 and x?
1768
Find the common denominator of 47/36 and 3*(-30)/(-72)*40/9.
36
Let t be ((-2)/5)/(15/150). What is the lowest common multiple of 8 and 9*(t/(-12))/(5/15)?
72
Let h = -697/5 - -139. Let l = -4620 + 18571/4. What is the common denominator of h and l?
20
Suppose -43*u + 33 = -40*u. Calculate the least common multiple of u and 5.
55
Suppose -t + 5*c - 720 = -5*t, -2*c - 342 = -2*t. Suppose 3*w - 3*f + 15 = 39, -4*w + 2*f = -24. What is the smallest common multiple of w and 6/4 - t/(-10)?
76
Let t = 377/24 + -259/8. Let z be 2/(-9) + 0 - (-660530)/(-205101). Let w = z - 3/1753. Find the common denominator of w and t.
9
Let k be 48/264 - 228194/109560. Let f = 1/996 + k. Calculate the common denominator of (-174)/(-44) - (1 - 1) and f.
110
Let k(s) be the third derivative of -s**5/60 - 5*s**4/24 - 7*s**3/2 + 5*s**2. Calculate the common denominator of 4/14 - (-202)/(-21) and k(-4).
3
Find the common denominator of -38/35 and (278/12)/(4*49/(-28)).
210
Let z be 1 - 3*(2 - 4). Suppose 8*g = z*g + 3. Calculate the lowest common multiple of ((0 - 8) + 3)/(140/(-84)) and g.
3
Let n = 36487/6 - 6064. Find the common denominator of n and 39/277.
1662
Suppose 2*p + 5*v - 101 = 0, 14 = -2*p + 4*v + 124. Calculate the least common multiple of p and 8.
424
Suppose -9*f + 8*f = -5, -3*a = 3*f - 51. What is the least common multiple of 238 and a?
1428
Let m(l) = 418*l + 4. Let y be m(2). What is the common denominator of (-6)/(-24) - (-2)/(y/237) and 58/5?
70
Suppose -l + 11 = -4*c + 141, -l - c = 140. What is the common denominator of -14 and 4/5 - l/(-35)?
7
Suppose r = -r + 106. What is the common denominator of (r/(-1))/(1 - -7) and (131/48)/((-1)/(-4))?
24
Suppose -w - 160 = -11*w. Suppose 1 = -4*n + 9. What is the smallest common multiple of n and w?
16
Suppose 2*r + 2*s = -3*s - 165, -3*r + 3*s - 300 = 0. Let i = 107 + r. Calculate the common denominator of i and -34/31.
31
What is the common denominator of 137/90 and (-6)/(2304/1528) + 6?
720
Let b(f) = -f**2 - 4*f + 6. Let t be b(-4). Find the common denominator of 0 + 1 - 51/16 and t/(-104)*(56 - 2).
208
Let b(n) = -n**2 - 17*n. Let p(s) = -3*s - 4. Let l be p(4). What is the least common multiple of 28 and b(l)?
112
Let k be 3/(-4) + 6 + (-100)/16. Calculate the lowest common multiple of 2 + k/(3/(-21)) and 1.
9
What is the common denominator of (588/133)/7 - (-3)/2 and -26/133?
266
Suppose 0 = 6*k + 17*k - 322. What is the least common multiple of 70 and k?
70
What is the common denominator of -97/10 and (4 - 580/8)*6/36?
60
Suppose 5*h + 3*a = -2*a - 15, -3*h = -a - 11. Calculate the least common multiple of (8/(-5))/(h/(-10)) and 6.
24
Suppose 824 = -k + 294. Let n = k + 3658/7. Find the common denominator of n and 1/(-2)*(-1258)/119.
7
Suppose -5*j - 5*p + 15 = 0, 3*p = j + p. Suppose -116 = b - j*b. What is the least common multiple of 20 and b?
580
Let w = -65 + 92. Calculate the smallest common multiple of w and 0 - -3 - (3 + 7 + -34).
27
Let h(r) = -77*r**2 - 2*r - 3. Let m be h(-3). Find the common denominator of 122/4*1/(-3) and m/(-27)*9/12.
6
Let t(z) = -z - 3*z + 7*z + 5*z. Let r be t(1). Suppose 0 = 3*g - 2*g - r. What is the lowest common multiple of g and 20?
40
Let m(h) = 2*h**2 - 4. Let v be m(6). Let q = v - 180. What is the common denominator of 28/5 and q/15 + 2/(-6)?
5
Let v be ((-21)/42)/((-1)/(-6634)). Let b = v + 13189/4. What is the common denominator of b and -1*1 - (-12)/(-27)?
36
Let m = -92/9