5. Let m = 1520 - c. Let d = -12/47 + 3514/141. Calculate the common denominator of d and m.
3
Let y be -3*20/12 + 8. Calculate the smallest common multiple of 54 and 129/y + -5 + -8.
270
Let h be 54 - 2/2*-1. Calculate the common denominator of (51/h)/((-12)/(-15)) and (-1 - 4 - 2130/(-432))*10.
396
Let g be 469599/7540 - (-1 - 1). Let l = 1738/29 - g. Let n = -456893/78608 + -1/4913. What is the common denominator of n and l?
80
Let x be 3*((-8)/(-1) - 7). Suppose -35 = -5*d - o, 3 = x*d - 9*o + 6*o. Let l(a) = a + 7. What is the smallest common multiple of d and l(-4)?
6
Suppose 112*q - 62*q = 86*q - 216. What is the least common multiple of q and 51?
102
Let f be 6 + 7/((-56)/(-760)). Let m = -35 + f. Calculate the lowest common multiple of m and 30.
330
Let l(q) = -10*q - 57. Let t be l(-9). Let u = t + -27. Calculate the common denominator of ((-1177)/(-297))/((-4)/u) and 59/6.
18
Let j = 44292860592991327/890932 - 49715197785. Let d = 5/2708 - j. What is the common denominator of d and 35/4?
1316
Let n = 15 - 15. Suppose n = 14*l - 18*l + 700. Calculate the common denominator of 25/6 and l/(-120) + (-2)/6.
24
Find the common denominator of 19/(-35) - (3/(-6))/(105/(-126)) and 0 + (-33)/597*3.
1393
Let g be (2 - 5) + 6*(-5 + 6). Suppose -5*o + 335 = g*m, 0 = 10*m - 11*m + 5*o + 105. Calculate the lowest common multiple of m and 60.
660
Let p(q) = 235*q**3 + 4*q**2 + 2*q - 1. Let y be p(-2). Let u = y - -7439/4. Calculate the common denominator of (-2)/22 + (-10836)/(-616) and u.
4
Suppose 3*c = 2*l - 23, -5*c + 2*c - 13 = -l. Suppose -25*p + l*p = -120. Calculate the smallest common multiple of 10 and (-27)/6*p/(-6).
30
Let s = 160/17 - 4337/459. What is the common denominator of (-2)/10 - (-156)/405 and s?
27
Let d = 8143 - 8049. Calculate the lowest common multiple of d and 376.
376
Let a(f) = -f**3 - 10*f**2 + 14*f + 187. Let d be a(-10). Let l = 40 - -4. Let k = d - l. What is the smallest common multiple of k and 4?
12
Let k = -5470759/150 + 36472. What is the common denominator of k and 13/440?
6600
Let x be (2 - 15/7) + 468/42. Let m = -16 + x. Let d(n) = -n**2 - 9*n - 12. Calculate the smallest common multiple of d(m) and 11.
88
Suppose -2*f + 2*k + 892 + 58 = 0, -5*k + 1891 = 4*f. Suppose 21 = 11*o - f. What is the smallest common multiple of 5 and o?
45
Let x(q) = -31*q + 207. Let v(c) = -c**3 + 10*c**2 - 10*c + 10. What is the smallest common multiple of v(9) and x(3)?
114
Let h be (5 + (-72)/16)*(7 + -1). Calculate the lowest common multiple of 1/(-4)*1300/(-39)*h and 20.
100
Let f = 344 + -230. Let h = 162 - f. Calculate the smallest common multiple of h and 42.
336
Let v be 1236/(-72) - 1/(-6). Let b = 35 + v. Suppose -40*l = -43*l + b. Calculate the smallest common multiple of 20 and l.
60
Let u be ((-33)/4)/(33/(-44)). Suppose 5*l = -5*w + 5 + 25, 2*w - u = -3*l. Let z(p) = 2*p**2 - 59*p - 210. What is the least common multiple of w and z(33)?
21
Suppose 4*c = -3*v + 393, -c - 3*v = -7*v - 122. Calculate the smallest common multiple of c and (8/(-7))/(132/(-42))*66/4.
102
Let c(w) = 4*w. Let s(y) = y + 1. Let a(i) = c(i) - 6*s(i). Calculate the least common multiple of 15*(38/95 + 6/10) and a(-5).
60
Let g = -28389 - -143353/5. Let s = -31401/110 + g. Find the common denominator of 24/11 and s.
22
Let w = 7984/705 + 2/235. Let d = -3920 + 58837/15. Calculate the common denominator of w and d.
15
Suppose 2 = -2*z + s + 6, 2*s = -4*z + 16. Find the common denominator of -127/30 and (-3)/(-135)*z/8*-29.
120
Let t = -8923 + 294436/33. What is the common denominator of 49/33 and t?
33
Suppose -762 = -10*q - 282. Suppose -r = -a - 6, q = r + 2*a + 36. Calculate the least common multiple of r and 23.
184
Find the common denominator of (-487*(-4)/168)/8 - (-8)/14 and -119/480.
480
Let c = -62241/8 - -7783. What is the common denominator of -44/1527 and c?
12216
What is the lowest common multiple of 78 and 1097 + 2/((-1 - 28/(-8)) + -2)?
28626
Let z = -9/715 - 64957/8580. Calculate the common denominator of z and -2 - (8/(2368/(-1269)) + 2).
888
Let r be -3 + (-28)/(-4) - 1. Suppose -4*l = 3*y + 9 + 1, 0 = -r*l - 12. Suppose -21 = y*w - 117. What is the smallest common multiple of 30 and w?
240
Let j = 4137 - 124213/30. Let v = 3210 - 57709/18. Find the common denominator of j and v.
90
Suppose 2*h + 5*p + 23 = 3, 8 = -2*p. Suppose 6*z + 7*z - 91 = 0. Let w = z + h. Find the common denominator of 71/42 and w.
42
Let s = -648 - 1275. Let t be 24/16686*s/(-12). Let m = 64/103 + t. Calculate the common denominator of m and 13/27.
27
Let i(v) = -2*v - 3. Let b(f) = 14*f - 83. Suppose 0 = 2*u - 2*s - 22, -31*u + 27*u + 16 = 3*s. Calculate the smallest common multiple of i(-6) and b(u).
45
Suppose 4*k = 2*q - 1612, -4*k + 0*k - 1600 = q. Let d = k - -411. What is the least common multiple of 14 and d?
70
Suppose -p + 1284 = 3*o, -2*p + 3*o - 5172 = -6*p. What is the common denominator of (-2 + (-4)/(-5))/(p/160) and 35/99?
297
Suppose -152*i + 151*i = -4*l - 8, -3 = 3*l. Calculate the lowest common multiple of i and 316.
316
Let c be ((-78)/208)/((-2)/(39784/(-6))). Let d = -1258 - c. Find the common denominator of d and 51/262.
524
Let j = 52/15 - 84/25. Find the common denominator of 67/30 and j.
150
Let d be (48/10)/(7 + (-12761)/1820). Let f = d + 425. What is the least common multiple of f and 3?
9
Suppose -2*v + 128 = 3*b + b, 0 = 3*b + v - 94. Suppose 4*a + 3*s - 11 = 4, 4*s = 3*a - b. Calculate the common denominator of 7/8*a*66/(-135) and -25/8.
120
Let j = 12372 + -143329622/11585. Let c = j + -1309093/69510. Find the common denominator of 91/(-6) + 608/76 and c.
6
Suppose 0 = -w + 5, -3*m = -5*w - 3 + 25. Find the common denominator of 1/5 and 34/m*(-1)/5.
5
Suppose 0 = -4*f + 4*l + 24, -3*l + 4*l = -f. Find the common denominator of f/9 - (34732/840)/19 and 47/10.
70
Let g(o) = -o**3 - 8*o**2 + 39*o + 54. Let a be g(-11). Calculate the least common multiple of 202 and ((-160)/a)/2*(1 + 2).
2020
Suppose 2*c - x = 384 + 358, 0 = 3*c + 2*x - 1106. Calculate the least common multiple of c and 1554.
7770
Let t = 2641/25691 + -37539848379/1798370. Let b = -20876 - t. Find the common denominator of 69/14 and b.
70
Suppose 4*d + 5*d - 144 = 0. Let l(c) = -c**3 + 17*c**2 - 14*c - 21. Let a = 5 + 1. Calculate the least common multiple of l(d) and a.
66
Suppose -u - 12 = -5*p, 0 = -2*u + u - 2. Suppose -48 = p*y + 16. Find the common denominator of 1 + 79/y + 0 and -87/44.
352
Let m = 98045/24 - 4086. Let y = 131 - 96. Calculate the common denominator of (-1 - y/(-30))/(1/8) and m.
24
Let b be (-2)/(-16 + 6) + 59667/(-60). Let p = b + 560831/564. What is the common denominator of -47/21 and p?
1974
Let q be ((-126)/72)/(1/(-12)). Let a(k) = k - 22. Let o be a(q). Let x = 1 - o. What is the smallest common multiple of 2 and x?
2
Let d = -82775/36 + 13811/6. Find the common denominator of 43/4116 and d.
12348
Suppose 25*d - 21*d + 4 = 0. Calculate the common denominator of 220/(-132)*(1 - d)/(-350) and 39/7.
105
Let r = -94 - -101. Let p be 2/5 + (25606/1440)/r. Let m = p - 117/80. What is the common denominator of 85/6 and m?
90
Find the common denominator of 2/(-6)*2945/16625 and 62/225.
1575
Let y(f) = f**2 + 24*f - 25. Let k be y(-25). Suppose -2*n - 16*n + 162 = k. What is the lowest common multiple of n and 7?
63
Let m = -1440613605353/4844 - -297401649. Let b = -2/19529 - 135319/13514068. Let r = m + b. Find the common denominator of 103/10 and r.
70
Let p = 115364/27 + -4272. Let w = 92686/189 + -3483/7. Let b = p + w. Calculate the common denominator of b and -56/9.
63
Find the common denominator of 109/84 and (-6*(-12)/((-2352)/791))/(2844/(-14)).
6636
Let z = 4809385/3324 - -337/277. Let h = 1447 - z. Let m = -7868 - -62855/8. Calculate the common denominator of h and m.
24
Calculate the smallest common multiple of 2214 and -6 + ((-10)/(-13))/(17/221).
4428
What is the least common multiple of -1 + (16 - 11) + (5 - (3 + 0)) and 504?
504
Suppose 4*p = -2*i + 870, -3*i - p + 438 = -2*i. Calculate the lowest common multiple of 98 and i.
882
Let h = -3819974/9 - -423803. Let d = h - -638. Calculate the common denominator of -67/72 and d.
72
Let k = 14656/5 + -2110849/720. Find the common denominator of (5/(-70))/((-2)/(-44)) 