 o = -1/380 + -37/380. What is the common denominator of -43/250 and o?
250
Calculate the common denominator of -10/9 and (7 - 11) + 119/(-6).
18
Let g = 44 + -16. Suppose -g = 4*a - 3*a. Calculate the common denominator of 234/28*a/(-96) and -3/20.
80
Let g(t) = -6*t + 12. Calculate the least common multiple of g(-13) and 8.
360
Let p = 13 - -5. What is the smallest common multiple of 12/(11/33 + (-4)/(-6)) and p?
36
Suppose 5*i + 200 = 9*i. Suppose 2*m - i = -3*m. Calculate the smallest common multiple of m and 6.
30
Suppose 0 = -o + 4*o - 5*w - 61, -5*o + 119 = -4*w. Suppose t - 2*t + 4*d + 7 = 0, 5*d = -2*t + o. Find the common denominator of 101/18 and 5/((-10)/t) + -1.
18
Let c be (-36 + 9)/((-1)/5). Let a = c + -1253/9. What is the common denominator of -103/10 and a?
90
Suppose -18*t + 14 = -4*t. Suppose -d + 5 + 6 = w, -3*w - 2*d = -33. Calculate the lowest common multiple of w and t.
11
Suppose f - 20 = -2*n + 4*f, 5*n + 2*f = 69. Let y(m) = 2*m + 18. Calculate the least common multiple of y(n) and 20.
220
Let t = 863 + -571. What is the common denominator of (-2)/4 - 23/(-3) and t/48 + 3 + -4?
12
Calculate the common denominator of (-24)/(-84) + 1089/(-1484) and -97/14.
1484
Calculate the least common multiple of (231 - 1)/(19 - (9 + 9)) and 50.
1150
Let g(l) = -l**3 + 12*l**2 - 18*l - 11. Let c = -37 - -47. Calculate the smallest common multiple of 3 and g(c).
9
Let s = 451 - 475. Suppose 47 = -3*n - 31. Let b = s - n. What is the least common multiple of b and 2?
2
Suppose 1926 = -2*s - 3*j, -4*s + 4*j = -j + 3808. Let p = s - -3735/4. Let d = 7830 - 125223/16. What is the common denominator of d and p?
16
Let i be 2 - 1 - 116/4. Let w = 59865/13838 + -5/629. Find the common denominator of w and -4 + 2 + (-38)/i.
154
Suppose 0 = 2*b + 6, 4*t - 4*b + 326 - 1478 = 0. Let k = 414 - t. What is the common denominator of 2/(-18)*k/6 and 35/16?
144
Let x be 1/((-3)/45 + 8/20). Let b(k) = k - 2. Let v be b(5). Suppose -2*f - 54 = -x*i, 3*i - 6*i + 57 = -v*f. What is the lowest common multiple of 8 and i?
16
Let a = 5821 + -3557. Suppose 3 = 3*r, a = 3*k - 4*r - 462. What is the common denominator of (k/180)/((-1)/(-3)) and 50/7?
42
Suppose -220 = -3*j + 4*u, 22 + 44 = j - 5*u. Suppose -3*p + p = -j. Suppose 2*x - 5 = 3*l + 18, -p = -5*x + l. What is the lowest common multiple of x and 9?
63
Suppose 0*n = 2*n + 3*f - 291, 3*f - 429 = -3*n. Let d be ((-1)/57)/(3473/n). Let l = 129073/45904 - d. Calculate the common denominator of -57/20 and l.
80
Suppose -8*l - 3 = -11*l. Suppose -5*w = -71 + l. What is the lowest common multiple of 10 and w?
70
Suppose 56*z - 55*z = 11. Suppose -1 = 4*a - 49. What is the lowest common multiple of (2/(-3))/((-8)/a) and z?
11
Let f = 23549 - 1978145/84. Calculate the common denominator of -64/9 and f.
252
Suppose q + 12 = -4*c, 3*q + 2*q = -5*c - 30. Calculate the lowest common multiple of 33 and -1 + (1 - 4 - c)*-25.
264
Let y(z) = -26*z - 258. What is the least common multiple of 40 and y(-11)?
280
Suppose 5*a - 25 = -4*b + b, 4 = -3*a + 2*b. Suppose -d - 5*c = -33, 0*c = -5*d + a*c + 192. Calculate the smallest common multiple of 3 and d.
114
Let w = 529 - -125. Calculate the smallest common multiple of w and 2.
654
Let n be (0 - 1) + 8 + -7. Let s = n - -8. What is the smallest common multiple of s and 22?
88
Let v = -15335 - -751456/49. Let u = -270/23 + 2171/230. What is the common denominator of u and v?
490
What is the common denominator of -32/7 and 33/(-99) - (-268)/30?
35
Let h = 17692 - 353937/20. What is the common denominator of h and -69/868?
4340
Let s = 12093028 - 326679172/27. Let v = s - -6202. What is the common denominator of 139/6 and v?
54
Let m(b) = 10*b - 57. What is the least common multiple of 13 and m(20)?
143
Let w = -12 - -34. Let n = 82 - 60. Calculate the smallest common multiple of w and n.
22
Let s be (-276)/14 + (-2)/7. Find the common denominator of 0 - (4 + 7/s) and (-3)/(-40)*(-244)/6.
20
Let y = -2/241 + -1683/482. Let l = 4/883 + 16749/6181. Calculate the common denominator of y and l.
14
Let d = -7 - -15. Let z be 8*((-18)/(-8) + -2). Suppose -z*u - 30 = -7*u. Calculate the least common multiple of u and d.
24
Let s = 5968 - 71549/12. Let j be 1111/(-10) - (-5)/(-10). Let m = 10589/90 + j. What is the common denominator of s and m?
36
Let a = -11 - -17. Suppose -3*i = -6 - 48. Suppose 0 = m + 2*s - i, -5*m - s + 4*s = -129. What is the least common multiple of m and a?
24
Calculate the common denominator of 25/8 and 2/(-4)*3131/(-124).
8
Suppose 6*a - 72 = 2*a. Suppose 2*d - 5*d + a = 0. Calculate the least common multiple of d and 22.
66
Let j(h) = -h**3 - 34*h**2 + 150*h - 21. What is the least common multiple of j(-38) and 10?
110
Let n = 7 + -5. Suppose 2 = -n*i + 3*i. What is the least common multiple of i and (-2)/(-7) - (3 - 173/7)?
22
Suppose -2*z = 5*u - 4*u + 32, -2*z = 3*u + 112. Find the common denominator of -13/6 and (8/12)/(u/102).
30
Suppose 20 + 4 = 5*u - 3*j, 3*j = -9. Suppose -2*g = 0, -8*g = -l - u*g + 8. Let k = -14 - -28. What is the lowest common multiple of k and l?
56
Let j = -22 - -122. Suppose -4*f + 8*f + r = j, 4*f = 3*r + 84. What is the smallest common multiple of f and 8?
24
Let n(z) = -16*z + 6*z - 32 + 10*z + 4*z. Calculate the lowest common multiple of 58 and n(9).
116
Let v = 1761 - 38735/22. Calculate the common denominator of -25/91 and v.
2002
Let c(j) = -j + 2. Suppose 5*u - 6 = -1. Let v(r) = -r**3 + 7*r**2 + 5. What is the lowest common multiple of v(7) and c(u)?
5
Let f(h) = 2*h**2 + 4*h - 4. Let o = -42 + 64. Calculate the smallest common multiple of f(-4) and o.
132
What is the least common multiple of 1168/128 - (-4)/(-32) - -7 and 8?
16
Calculate the common denominator of 87/20 and 5226/1560 + (-2)/5.
20
Let v(t) = -4*t**3 - 2*t**2 - 2. Let x be v(-4). What is the common denominator of 33/28 and x/(-24)*(-4)/10?
140
Suppose 0 = 2*h + 5*u - 182, -5*h + 5*u + 221 = -269. What is the least common multiple of 4 and h?
96
Suppose -15 = -3*t, -3*v = -4*v - 3*t + 35. Suppose -b = b - 3*g + 6, -5*g = b - 23. Let p = b + 11. Calculate the lowest common multiple of p and v.
140
Let s be ((-6)/(-16))/((-9)/(-39939)). Let w = s - 1660. Find the common denominator of 55/9 and w.
72
Suppose 7*c = -43 + 1296. Calculate the common denominator of -11/2 and -3*3/45 - c/(-170).
34
Let d be (-13)/(-8)*((-400)/(-957) + -4). Let u = 4/319 - d. What is the common denominator of 157/30 and u?
30
Let p = 5398 + -43159/8. Suppose -5339 + 20611 = 4*m. Let f = 30605/8 - m. Calculate the common denominator of p and f.
8
Let s be ((-20)/14865)/(((-16)/(-6))/4). Let i = s + -28697/20811. Find the common denominator of 181/30 and i.
210
What is the common denominator of 7/30 and (143/121)/(120/36)?
330
Let f = 1 + 9. Find the common denominator of 1 + -1 - 2*33/f and (1 - -5)*41/(-20).
10
What is the smallest common multiple of (-224)/(-20) + (-90)/75 and 14?
70
What is the common denominator of -6*(-8)/(-288) - 14/(-116) and -7/30?
870
Let c(o) = -4*o - 6*o**2 - 1 + 9*o**2 - 4*o**2 - 2. Let x be c(-3). Suppose x = 2*w - 10, r + 2*w = 4*r - 8. Calculate the least common multiple of r and 5.
30
Let d = 7337 - 146679/20. Calculate the common denominator of -39/64 and d.
320
What is the lowest common multiple of 18 and ((-2)/(-4))/(-6 - (-78)/12)?
18
Let o = 791 + -509. Find the common denominator of (2/3)/((-28)/o) and 416/(-10) + 12/20.
7
Calculate the common denominator of 11/93 and 8 - (-9)/(9/(-46)).
93
Let b = -111/112 - -10/7. Let u(n) = -2*n + 336. Let y be u(0). Calculate the common denominator of 1695/y - 1/(-7) and b.
16
Let a = -8119306/9 + 900963. Let b = 1176 + a. What is the common denominator of b and -4/15?
45
What is the common denominator of (71/8)/(36/(-16)) and 2/((-320)/(-136)) - (4 + 0)?
180
Let c(w) = -w**3 + 2*w**2 + 4*w + 2. Let q be c(3). Suppose -a - 2 = 2*i, -4*i = 8*a - q*a. Calculate the least common multiple of 32 and a.
32
Let l = -21 - -25. Suppose -2*g + 28 = -0*g + 3*w, -l*w + 56 = 5*g. What is the lowest common multiple of g and 121?
968
Calculate the common denominator of (-18)/(-32)*(-2448)/(-1156) and -121/12.
204
Suppose -8*a + 3140 = -13*a. Calculate the common denominator of -2 - (4/26)/(16/a) and 41/22.
286
