e z*y - 72 = -4*y. What is the smallest common multiple of (-4)/(-6) + 6/y and 3?
3
Suppose -2*k + 46 + 548 = 0. What is the common denominator of (1/(2/93))/(k/12) and 85/24?
264
Suppose 3*i - 52 = 3*u + 2*u, 4*i - 2*u = 46. Suppose -x = x - 2. What is the smallest common multiple of i and 5/((-5)/(-9)) - x?
72
Let r(f) = -f**2 + 8*f - 4. Let h be r(9). Let x = 16 + h. Let u(w) = -w**3 + 3*w**2 + 2*w - 4. What is the least common multiple of u(x) and 16?
16
Let g(s) = -3*s**2 + 12*s - 6. Let k be g(8). Find the common denominator of 62/5 and (k/32)/(3/4).
20
Suppose 0 = 4*h - 8, 0 = -q - 2*h + h + 167. Find the common denominator of (q/20)/(42/4) and 5/8.
56
Let c = 258927942902600551639/3567672207450 + -7446/15246462425. Let w = 72576046 - c. Let r = w + 991/9. What is the common denominator of r and 61/10?
130
Suppose o = 5*x, -2*x + 0*x = -2*o. Suppose 0 = -2*t + 4*l - 39 + 99, -5*t - l + 161 = o. What is the lowest common multiple of 8 and t?
32
Let c(n) = -n**2 + 3*n + 10. Calculate the least common multiple of c(4) and (13/(-3) + 1)*-3.
30
Let o = -85 + 99. What is the lowest common multiple of o and 72?
504
Let z = -43 - -37. Let w = 22 + 8. Find the common denominator of (-15)/z*56/w and 16/3.
3
Let i = 33 + -155. Let m = -745/6 - i. Find the common denominator of m and (1/(-3))/(15/(-177)).
30
Calculate the common denominator of (4/6)/(4/(-149)) and (-44)/7 - (-5 - (-21)/6).
42
Let v = 636 + 365. Suppose 2*g - 3*u - 32 = -0*g, 5*u + 24 = 2*g. Calculate the common denominator of -59/8 and (-6682)/v + (-4)/g.
56
Let p = -685 - -697. What is the least common multiple of p and 30?
60
Let b = -3 - -5. Let m = -1168 - -11603/10. Calculate the common denominator of m and (452/(-8))/(14/b).
70
Suppose 3*i - 84 = 2*g + g, 0 = -2*i + g + 52. Suppose -l + i = 8. What is the lowest common multiple of 14 and l?
112
Calculate the lowest common multiple of 147 and 1 + -6 - (-28 + 17).
294
Let g be ((-12)/16)/((-387)/25514). Let r = 1398754/129 - 10843. Let n = g + r. What is the common denominator of -41/7 and n?
14
Suppose -5*u + u - 12 = 0. Let q = 140/3 + -818/21. What is the common denominator of q and u - (240/(-28) - -2)?
7
Let n = -16 + 10. Suppose 3*p - 3*z + 6 = -0, -5*p - 30 = 5*z. Find the common denominator of (-31)/p + (n - -9) and -117/10.
20
Let r be 5/(-1)*(-8 + 5). Suppose 0 = 4*j + j - r. Calculate the least common multiple of 2 and j.
6
Suppose -2*n - 4*n + 306 = 0. Suppose -l + m = -4*l + n, -l = -m - 21. What is the lowest common multiple of 14 and l?
126
Calculate the common denominator of 51/80 and ((-498)/320)/((-57)/6 - -11).
80
Suppose -3*m - 2*m + 57 = 3*a, -3*a = -12. Let d = 29 + -23. What is the lowest common multiple of d and m?
18
Let n = -18855 - -565591/30. Calculate the common denominator of n and 27/50.
150
Suppose 2*j + 19 + 5 = 4*p, 2*p - 14 = 2*j. Suppose p*o = o + 20. What is the lowest common multiple of o and 4?
20
Let j = -33 + 38. Suppose 2*y = j*k - 0*k + 37, -66 = -3*y - 3*k. What is the smallest common multiple of y and 12?
84
Let y = 20 + 7. Suppose -3*i + 2*q = -83, 3*i - 3*q = -6*q + 78. Calculate the least common multiple of y and i.
27
Let j = 6 + -4. Let b = -25 + 4. What is the common denominator of b and (-1794)/(-143)*j/(-6)?
11
Let x = -1/738 + 185/369. What is the common denominator of x and 49/66?
66
Let f = -211 + 229. Calculate the lowest common multiple of 538 and f.
4842
Let d(o) = o**3 - 6*o**2 + 4*o + 9. Let q be d(5). Suppose 4*s - 28 = -q*b, 2*b + 4 = -0*b + 4*s. Calculate the lowest common multiple of 4 and b.
4
Let q(n) = -3*n**2 - 18*n - 153. Let s(w) = -w**2 - 6*w - 51. Let j(x) = 2*q(x) - 7*s(x). Find the common denominator of -4/11 and j(-5).
11
Let q = -797/144 - -197/16. Find the common denominator of 15/7 and q.
63
Suppose -40*i + 24*i + 32 = 0. What is the lowest common multiple of 10 and i?
10
Let c = 469/13 - 10667/260. Let u = 8245/468 - 220/13. What is the common denominator of c and u?
180
Let y(v) = -v**3 + 9*v**2 + 18*v - 50. Calculate the lowest common multiple of 90 and y(10).
90
Let s = 0 + 4. Let y be ((-100)/6)/2*-3. Let g = 30 - y. Calculate the least common multiple of s and g.
20
Let o(q) = q**2 - 4*q. Let i be o(4). Calculate the common denominator of -61/15 and (i - 71/6) + (-12)/(-90).
30
Let n = -1138 - -3467/3. Calculate the common denominator of -133/30 and n.
30
Let i be (-1)/(3 - 4/(-8)*-7). What is the common denominator of 0 - 2 - 3/7 - i and 49/40?
280
Find the common denominator of 91/10 and 81/(-12)*8/(-80)*-1.
40
Calculate the common denominator of -61/33 and 1*611/(-60) - (-6)/10.
132
Let j(c) = -2*c**3 - c**2 + 4*c + 3. Suppose -4*u + 3*g - 20 = 0, 4*u + 3*g - 8 = -g. Calculate the lowest common multiple of j(u) and 21.
21
Calculate the least common multiple of 48 and ((-3555)/(-63) - 1) + (-8)/(-14).
336
Suppose f - 3 = 1. Suppose 4*y + 3*i = 6*i + 21, 2*y = -f*i + 38. What is the lowest common multiple of ((-192)/(-416))/((-2)/(-39)) and y?
9
Let t = 94 + -136. Let i = -38 - t. Suppose i = -3*d + 46. What is the lowest common multiple of d and 38?
266
Let n be (-3)/(-6) + 22/4. Let o(h) = -h**2 + h - 2. Let w be o(1). What is the common denominator of ((-55)/n - w)*-2 and 119/6?
6
Suppose 4*k - 12 = -3*d - 0*d, k + 3*d = 3. Suppose 2*n + 760 = -k*j, j = -5*n + 3*j - 1900. Find the common denominator of 77/20 and ((-158)/6)/(n/57).
20
Let j = 8787 - 2056105/234. Find the common denominator of j and -125/24.
936
Let g be (4/(-7326))/((-1)/(-3)). Let u = g - 30116/1221. What is the common denominator of 246/(-6519) - (-2890)/742 and u?
21
Find the common denominator of 23/29 and 1 - -4 - 186/(-54).
261
Calculate the common denominator of 75/106 and (-2414)/(-1292) - (2 - 2).
2014
Suppose -2*r + 157 = -55. What is the common denominator of 12/(-3) - 78/(-33) and 0 + r/18 - -2?
99
Let l be 1974957/330 - 4/(-22). Let f be ((-44)/(-4) + 4)*3996/(-10). Let u = f + l. Calculate the common denominator of u and -69/22.
110
Suppose m + 762 = 4*b, 18*b - 23*b + 940 = 5*m. Calculate the smallest common multiple of 2 and b.
190
Suppose u - 3*u = -634. Suppose 2*d = -u - 607. Let a = d - -1827/4. Find the common denominator of a and -115/14.
28
Suppose 310 = -6*g - 500. Find the common denominator of (-12)/15 + 6/g*137 and -61/39.
117
Let h be 352/(-2 + (4 - (-12)/(-9))). Suppose 4*n + 2*n = h. Calculate the smallest common multiple of n and 18.
792
Let v(w) = w**3 + 18*w**2 + 13*w + 10. Let d be v(-15). Find the common denominator of 1659/d - (-2)/5 and 109/10.
70
Suppose 5*d + 5*t = 1500, -21*t + 25*t - 1501 = -5*d. What is the least common multiple of 43 and d?
301
Suppose 0 = -8*z + 4*z + 28. Let m = z + 5. What is the lowest common multiple of m and 12?
12
What is the lowest common multiple of (-6)/(-21) + (-5038)/(-154) and 10/4*80/25?
264
Find the common denominator of -59/9 and (111/90 - 4) + (-2)/5.
18
Let m = 9198975447/15850 - 580377. Let r = -1053989/190200 + m. Let j = 20219/330 + -902/15. Calculate the common denominator of r and j.
264
Suppose 2*v - 3*l + 4*l + 28 = 0, -l - 43 = 3*v. Let i = v + 17. Find the common denominator of 103/26 and 288/84 - (-1)/i.
182
Let v = 2011/180 + -53/36. Find the common denominator of 118/(-4)*2/16 and v.
80
Let x = 429807 + -4291111/10. Let o be -2*(4 - (-2049)/6). Let f = x + o. Calculate the common denominator of f and 1/6.
30
Let k = 143 + -142. Calculate the lowest common multiple of 67 and k.
67
Suppose -8 = g - 314. Suppose j = 5*w - g, -5*w - 47 = -5*j - 337. Calculate the common denominator of w/(-3 + 15/9) and -139/6.
6
Let w(k) = 6*k**3 + k**2 + 4*k - 3. Calculate the lowest common multiple of w(1) and 18.
72
Let t(k) = 2*k**2 + 3*k - 47. What is the smallest common multiple of t(5) and 8?
72
Suppose 2*c = -2*l + 102, -73 - 76 = -3*l - c. Let h = l + -35. What is the common denominator of (h/35)/((-36)/(-10)) and -58/7?
63
Let o(j) = -j**3 + 10*j**2 - 14*j + 9. Let i be o(9). Let k = i - -38. Calculate the lowest common multiple of 9 and k.
18
Let l(c) be the second derivative of c**5/20 - c**4/12 - c**3/3 - 7*c**2/2 - 8*c. What is the smallest common multiple of 30 and l(4)?
330
Let d = 28 - 26. Let r(y) = 6*y**2 + 3*y. Calculate the lowest common multiple of r(-2) and d.
18
Let f be (3/(-2)