 be 34/51 + (-318)/(-9). What is the common denominator of -7 + 2/u*227 and -7/780?
2340
Let w = 2381526233/1620 - 1470078. Find the common denominator of 31/10 and w.
1620
Let h(q) = q**3 - 15*q**2 + 15. Let v be h(15). Find the common denominator of ((-28)/(-8) - 4)*278/(-6) and (-3)/v - 16/(-5).
6
Let o be (1 - 3) + (-7 - 21/(-7)). Calculate the lowest common multiple of 6 and (1 - -8*5)/(o/(-12)).
246
Let h = 689472781/1320 + -522328. Find the common denominator of 37/48 and h.
2640
Let s(a) = -11*a**2 - 148*a + 15. What is the smallest common multiple of 1024 and s(-13)?
5120
Calculate the common denominator of -17/120 and (270/(-28) - -3)*(-83)/20916.
5880
Suppose -90 = -3*c + 5*u, -3*u - 143 = -4*c - 34. Let r = 69373 + -69343. Calculate the lowest common multiple of r and c.
150
Let v(a) = 16 - a**3 - 5 - 29*a**2 - 29*a**2 - 27*a + 80*a**2 - 33*a**2. What is the least common multiple of 329 and v(-7)?
1316
Find the common denominator of 31/888 and 1*11 + 21665685/(-1964700).
4440
Let h = -3082288 - -11466111499/3720. What is the common denominator of 73/558 and h?
11160
Let s = 4756 + -3970. What is the lowest common multiple of 54 and s?
7074
Suppose -5*b = -5*s + s - 11, -4*s - 8 = -4*b. Let v = -10215 - -10231. Calculate the lowest common multiple of b and v.
48
What is the common denominator of -71/777 and (4 - 374/119) + ((-1791)/(-777))/(-3)?
777
Let y be (-2)/(6 + (38749276/6458278)/(-1)). Let t = y - -32950. Find the common denominator of t and 89/84.
588
Let o = -1002 + 2301. Let z = o + -7745/6. Find the common denominator of 1/(-2)*(-33)/(-8) and z.
48
Let r(q) = q**3 + 23*q**2 + 21. Let s be r(-23). Let u = 35 - s. Calculate the lowest common multiple of u and 14.
14
Let t(k) = k**3 + 29*k**2 + 54*k - 4. Let a be t(-27). What is the smallest common multiple of 7 - (3 + 1 + a) and 6/9 + (-19)/(-3)?
7
Let n = -3318 - -1198. Let h = n + 19108/9. Find the common denominator of (-104)/34 - -1 - -2 and h.
153
Let m = 74 - 58. Let b = 19 - m. Suppose 0 = -q + b, -5*s - 7 = 4*q - 109. Calculate the smallest common multiple of 21 and s.
126
Calculate the smallest common multiple of 2706 and (45 + -1)*(-14 + -1 + (-19320)/(-1120)).
8118
Suppose -5*r + 2*i = 29, i - 41 = 5*r + 3*i. Let m(x) = -x - 1. Let u(p) = 8*p - 3. Let a(s) = 2*m(s) + u(s). Find the common denominator of a(r) and 7/5.
5
Calculate the common denominator of ((-1023)/242)/((-52)/143) and -95/7356.
14712
Let a be 136/6*(-21)/14. Suppose -33 = r + 5*p, -25*r = -20*r - p + 139. Let k = r - a. Calculate the smallest common multiple of 2 and k.
6
Let x = 630887/469270 + -1989/1405. What is the common denominator of x and 89/70?
11690
Suppose 0*z = -9*z + 4 + 158. Let d = -18 + 21. Calculate the smallest common multiple of z and d.
18
Let s = 4/4147 - -219727/66352. What is the common denominator of (3*14/99)/(3*(-88)/2574) and s?
176
Suppose 0 = -5*k + 6 + 54. Let o(n) = -3*n**3 - 21*n**2 - 2*n. Let v = -28 - -21. What is the least common multiple of k and o(v)?
84
Calculate the smallest common multiple of 409 and (14 - (20 + 0))*8/(1 + -5).
4908
Suppose -4*v = -114 - 206. Suppose -v + 8 = -4*f. Let n = 1987 - 1971. Calculate the smallest common multiple of n and f.
144
Let p = 699981017/77 + -9090789. Let m = p + 915/7. What is the common denominator of 59/9 and m?
99
Let o(m) = 3*m - 32. Let q be o(14). Let h(k) = -3*k + 41. Calculate the least common multiple of h(q) and (-6 - 1)*114/(-133).
66
Let k be (-46)/(-161) + (-298616)/42. Let s = k + 7112. Calculate the common denominator of s and 77/12.
84
Suppose 4*c - 5*k - 2192 = 0, 71*c = 73*c - k - 1096. Calculate the smallest common multiple of ((-7)/(-14))/((-1)/(-2)) - -11 and c.
1644
Let q = 3/6409 - 352501/12818. What is the common denominator of q and -37/120?
120
Suppose 2 = -2*i + 8. Suppose -p - 2*h = -22, -i*h + 4*h = 4. Let q(k) = -3*k. Calculate the least common multiple of q(-6) and p.
126
Let u = -452/5823 - -1641601/14021784. Calculate the common denominator of -115/392 and u.
16856
Suppose 0 = -0*w - 2*w - 80. Let n = 85 + w. Calculate the least common multiple of 50 and n.
450
Let h = 29681/22 + -1351. Find the common denominator of h and (-12)/(-10) + -2*(-6)/3840.
704
Suppose 64 = 21*b + 148. Find the common denominator of ((-74)/(-222))/(b/546) and -93/8.
8
Suppose 0 = -5*k - 3*o - 37, -5*o = 16*k - 18*k - 21. Find the common denominator of ((-78)/k)/13*92/54 and -41/18.
18
Let k be 4 + 166156/(-48) - 3/18. Let l = -3480 - k. Calculate the common denominator of l and -11/37.
148
Let z = -51241549/5768 - -62187/7. Find the common denominator of z and -99/824.
824
Let m = 28899 + -35227879/1219. Let s = -64637/18285 + m. Find the common denominator of s and (-2)/(-1092)*218 + 7/(-49).
195
What is the least common multiple of (16/(-40) + 2872/20)/(1/10) and 40?
7160
What is the common denominator of 29/242 and 6 - 0 - (-15582)/(-2772)?
726
Let u(m) = -55 - 13*m + 45 - 25 - m**2. Calculate the least common multiple of 15 and u(-5).
15
Let b = -390/11303 + -205158413/67818. Let i = 3044 + b. What is the common denominator of i and 58/9?
18
Let w(r) = -106*r + 4 + 219*r - 108*r - 6*r**2. Let z be w(-3). Let t = -59 - z. What is the smallest common multiple of t and 2?
6
Suppose 9*j = 30 + 456. Suppose 288 = -3*q + 9*q. What is the smallest common multiple of j and q?
432
Let g(u) be the first derivative of 4*u**3/3 - 3*u**2/2 - 4*u - 2. Let m be g(-2). What is the common denominator of 91/15 and ((-3)/m)/((-15)/243)?
30
Let q = 10 + -6. Let l(a) = 35 - a**3 - 4*a - a + 6*a**2 + 37 - 2*a**2 + 10*a**2. What is the lowest common multiple of l(14) and q?
4
Let k = -2/18363 - 2515171/5141640. Find the common denominator of k and -6/55.
3080
What is the lowest common multiple of (6195/413)/(1/2) and 895?
5370
Let l = 154 + -152. Suppose l*v + 3*v + 183 = 4*z, 204 = 5*z + 2*v. Let a = 2 + -1. Calculate the lowest common multiple of a and z.
42
Suppose 113*v - 19393 = -5720. Calculate the smallest common multiple of 572 and v.
6292
Suppose 381 + 211 = 4*g. Calculate the common denominator of -80/33 and (g/(-26) - -6)/((-12)/(-58)).
429
Let r(d) = 4*d**3 - 3*d + 2. Let a be r(1). Let c(t) = -6 - 3 - 2*t**3 + t**a + 5*t + 5*t**2. What is the smallest common multiple of 33 and c(4)?
297
Suppose 2*g = 3*s + 10, 354 = -2*g - 3*s + 352. Calculate the lowest common multiple of 2484 and g.
2484
Suppose 43*t + 70 = 36*t. Calculate the common denominator of (74/6)/(t/(-12)*3) and -70/9.
45
Let c = -10089/4744 + 1/593. What is the common denominator of 7 + 5337/(-972) - (-2)/(-6) and c?
216
Calculate the common denominator of (-36)/(-66) + 24/304*3009/(-297) and 85/14.
798
Let u(s) = s**2 + 7*s + 7. Suppose -t + 120 = -21*t. What is the lowest common multiple of 54 and u(t)?
54
Suppose 0 = 11*c - 9*c. Suppose -2*i + f = -55, i + 2*i + 2*f - 86 = c. Calculate the least common multiple of i and 36.
252
Let b be (-2 - -24)*1 + 21/7. Suppose 2*s = -3*s + b. Suppose -5*r - 90 = -s*u, -4*u - 2*r + 64 = -u. What is the lowest common multiple of 40 and u?
40
Calculate the common denominator of 536/(-36)*(-1 - (-82)/76) and (-80)/10 - (-57)/(-18).
114
Let p = 58260691/135800388 - 2/419137. Calculate the common denominator of 47/3 and p.
324
Let i = -35859/44 + 9006/11. What is the common denominator of i and 41/384?
384
Let c(x) = 2*x - 5. Let u(f) = -3*f + 7. Let l(m) = -8*c(m) - 5*u(m). Let k = 3 - 0. What is the lowest common multiple of l(k) and 4?
4
Suppose 3*z + 2*f = -154, 0 = 4*z - 7*f + 4*f + 228. Let k be (z/21)/(-2 - (-25)/14). What is the common denominator of ((-118)/k)/(30/(-18)) and -139/12?
60
Find the common denominator of -11/210 and (34 + -33)/((-36)/(-39)).
420
Find the common denominator of (10/34)/(972/(-13770)) and (-131)/(-188) + (-2)/(-8).
282
Let p = 67 - 63. What is the common denominator of p + (60/(-56) - (-3)/6) and -4/29?
203
Let y = -2/353359 + 44877073/84806160. Find the common denominator of -139/1260 and y.
5040
What is the lowest common multiple of 60 and (-49)/98 + (-3123)/(-6)?
1560
Calculate the least common multiple of (-1)/(((-120)/(-165))/(-8)) and 6/(-9) + (-58)/(-6).
99
Calculate the common denominator of 53/22 and 25/(-15) + ((-140)/(-56))/((-827)/(-545)).
54582
Suppose 0 = -14*s + 2