48860. Let i = -27943/35 - z. Let d = i + -2488. What is the common denominator of 139/6 and d?
60
Calculate the common denominator of ((-90)/25)/((-1648)/20) and 35/18.
1854
Let p be 8/(-12) + (-3280)/(-5028). Let a = -16491/10475 - p. What is the common denominator of 39/7 and a?
175
What is the common denominator of -77/180 and 1174/720 + (-67)/(-1340)?
360
Let f = 5741/680 - 112/85. Calculate the common denominator of f and 27/32.
32
Suppose -168 = 22*x - 26*x. Calculate the smallest common multiple of x and 6.
42
Let u be ((-28)/(-35))/((-1)/60). Calculate the least common multiple of 34 and (-40)/u*9 - (-1)/(-2).
238
Let i = -26 + 31. Calculate the smallest common multiple of i and 5.
5
Let h(k) = -2*k + 6*k - 2*k + 9 - k. Let q = -2 + 2. What is the least common multiple of 8 and h(q)?
72
Suppose m - 6*m = -120. Suppose -37 = -4*o - 3*d - 0, -4*d - m = -2*o. Calculate the lowest common multiple of 15 and o.
30
Let y = -4/1247 + 88561/7482. What is the common denominator of y and (3/(-2) - 1)*15?
6
Calculate the common denominator of (-886)/344 + 1/((-7)/(-14)) and 143/12.
516
Calculate the least common multiple of (-10 + 7)/(15/(-10)) and 120.
120
Let v(s) = -2*s + 1. Let z be v(-1). Suppose z*p - 5 = -2*h - 1, 2*p + 8 = 0. Calculate the lowest common multiple of 7 and h.
56
Let o = -1/6170 + -10797/3085. Let w = 4/815 + 65999/3260. What is the common denominator of o and w?
4
Let k = -3142/273 + 259/26. What is the common denominator of -151/276 and k?
1932
Let s = -26761 - -37922. Let y = -66815/6 + s. What is the common denominator of (-17)/4 + (-24)/(-8) and y?
12
Let w be (1 - 8/6) + (-125)/(-15). What is the common denominator of 38/31 and w/(-24) - 88/18?
279
Let y = -4096 - -118742/29. What is the common denominator of (6 + 196/(-36))*(1611/90 + 7) and y?
174
Let b(x) = 118*x**2 - 5*x + 1. Let f be b(-4). Let y = 26675/14 - f. Calculate the common denominator of -15/28 and y.
28
Suppose -9*l - 5 = -4*l. Let g = 3 + l. Find the common denominator of 99/16 and 435/g*2/18.
48
Calculate the lowest common multiple of (-448)/(-10) - 26/325*10 and (-1)/4 - 145/(-4).
396
Let f be (2 - 0)/((-32)/(-416)). Let w be (4/(-6))/(2/(-6)). Suppose -s + 84 = 4*v - w*s, s = -v + f. Calculate the smallest common multiple of 12 and v.
132
Let t = -116351/10500 + -2/875. Let c = 571 + -3971/7. Find the common denominator of t and c.
84
Suppose -21*l - 39 = -2307. Calculate the lowest common multiple of 24 and l.
216
Suppose 4*f + 4*o = 2*o + 58, 2*f + 2*o - 32 = 0. Let x = 190 + -185. Calculate the least common multiple of f and x.
65
Let m(q) = 153*q + 15. Let g(i) = i**2 + 7*i - 6. Let y be g(-7). Let p be m(y). Let n = p + 4563/5. What is the common denominator of n and -43/8?
40
Suppose 3*n = -171 + 279. Suppose -3*i = -0*i - 36. What is the least common multiple of i and n?
36
Suppose 5*q + 172279 = -z, 0*q + 4*z = -q - 34471. Let n be -1 - 1/((-7098)/q). Let c = n - 1/338. What is the common denominator of c and 13/5?
35
Suppose -x = -3*b + 13244, -2*b + 688 = 4*x - 8132. Suppose 0 = 4*w + 394 - b. Let y = -3055/3 + w. Find the common denominator of y and 42.
3
What is the lowest common multiple of (-575)/(-175) + (-16)/7 + 2 and 141?
141
What is the common denominator of 16/36 + 3100/(-1224) and -95/14?
238
Suppose 3*v - 50 = -5*b, -352*v + 62 = -347*v + 3*b. Suppose -3*z + 2 = -s - 0*s, -4*z + 16 = 0. Calculate the smallest common multiple of s and v.
10
Let j = -949191/11 - -629289455/7293. Let z = j - 4/221. Calculate the common denominator of -43/11 and z.
33
Calculate the common denominator of 0 + (8/60 - 466/20) and -15/92.
276
Suppose -2*h + u = -68, -11*h + 7*h + 124 = -5*u. Calculate the smallest common multiple of 24 and h.
72
Let t = -3 + 8. Suppose 0 = -t*v + 77 + 123. Find the common denominator of (-2)/v*(-138 - 8) and -1/3.
30
Suppose -12*q + 93 + 195 = 0. What is the least common multiple of q and 15?
120
Suppose -4*i = 3*h - 94, 0 = -5*h + i - 3*i + 152. Suppose -21*k = -29*k + 144. What is the smallest common multiple of k and h?
90
Let p(u) = 2*u**2 + 3*u - 125. What is the least common multiple of p(-15) and 112?
560
Calculate the common denominator of (-10)/70 + (-974)/(-5201) and -4/7.
5201
Let t = 11439143/3289 + -3478. Let x = -312461/19734 + t. Let j = 5381/8 - 668. Calculate the common denominator of j and x.
24
Suppose -5*i + 12 - 112 = 0. Let s = -132953/10 - -13306. Calculate the common denominator of ((-33)/(-12))/(i/15) and s.
80
Suppose -3*u + 2*v = -3*v - 25, -3*v - 26 = -4*u. Suppose 3*a - u*d - 15 = 36, 2*a + 3*d = 15. Calculate the smallest common multiple of 22 and a.
132
Suppose -6*b + 78 = -12. Calculate the smallest common multiple of b and 30.
30
Let f = 28 + -13. Suppose 2*r = 20*p - 19*p - 40, -5*r - 55 = -p. Calculate the lowest common multiple of f and p.
30
Calculate the common denominator of 54/(-4) + (65/15 - 4) and -107/222.
222
Let v be (18/21)/((-6)/(-28)). Suppose -12 = -3*b, v*b - 31 = t + 3. Calculate the common denominator of 174/(-28) + (-9)/t and -79/4.
28
Suppose -3*t - 4*j + 4 = -7*t, -5*t = j - 19. Calculate the least common multiple of t and 30.
30
Suppose 2*t + 74 = -2*c, 4*t + t = 3*c + 111. Let k = 33 - c. Calculate the smallest common multiple of 4 and k.
140
Let p(k) = k**2 - 19*k - 238. Calculate the lowest common multiple of 38 and p(30).
1748
Suppose 28*b - 780 = 18*b. Calculate the smallest common multiple of b and 9.
234
Let v(l) = 2*l**2 + 4*l - 3. Suppose n + 6*s = 3*s + 18, 0 = s + 1. What is the least common multiple of v(3) and n?
189
Let z = 51 - 35. Let k be (-195)/6*((-2 - 2) + 2). Let u = k - 47. What is the lowest common multiple of u and z?
144
Let j = -96329/18 + 5349. What is the common denominator of j and 17/21?
126
Let q = 175 + -163. What is the smallest common multiple of q and 309?
1236
Suppose 4*t - 8*t + 2*s - 20 = 0, 3*t + 3*s = -24. Let m be (3 - 6)/(t/10). Suppose 0 = 8*r - 3*r - m. What is the smallest common multiple of r and 9?
9
Suppose -413*a + 36 = -401*a. What is the least common multiple of a and 47?
141
Let z = 128 + -95. Let h(n) = -n**2 + 3*n + 7. What is the least common multiple of z and h(4)?
33
Let k = -22471/18 - -1253. What is the common denominator of k and -29/186?
558
Suppose -5*l - 4*v = -79 - 31, 3*l - v = 49. Suppose 4*w = -5*d + 31, 2*d + 36 = 7*d - w. Calculate the least common multiple of d and l.
126
Let t(y) = 76*y**2 + 3*y - 12. Let s be t(7). Let x = s - 78368/21. Calculate the common denominator of x and 49/8.
168
Let p = 272 - 263. What is the least common multiple of 47 and p?
423
Let v = 309 + -279. What is the lowest common multiple of 48 and v?
240
Let s = 130 - 125. What is the smallest common multiple of s and 55?
55
Suppose 100 = 3*q + q. Let w(r) = r**3 + 7*r**2 - r + 7. What is the lowest common multiple of q and w(0)?
175
Calculate the common denominator of -113/48 and (14/680)/(62/465).
816
Suppose 3*z = -2*n - 3*n + 620, -5*n + 620 = 5*z. Calculate the least common multiple of 186 and n.
372
Let t = -9 - -14. Suppose 0 = t*s - 73 + 28. Find the common denominator of (s/(-27))/((-4)/9) and 103/12.
12
Suppose 3 = -3*h + 2*o + 1, -5*h + 4*o = 0. Calculate the common denominator of (-81)/30 + (-6)/h and 56/5.
5
Let d = -227 + 238. Calculate the smallest common multiple of d and 6.
66
Let v = -443/15 + 166/5. Calculate the common denominator of 3/3 + 119/6 and v.
6
Calculate the smallest common multiple of 18 and (104/(-78))/((-472)/(-237) - 2).
1422
Suppose k - 2*b = 86, -3*b - 4 = 5. What is the least common multiple of 12 and k?
240
Let z be 1*-13 + (-18)/(-12)*2. Let o = z + 14. Calculate the least common multiple of 46 and o.
92
Let k = 118 + -114. Let h = -16 + 22. What is the lowest common multiple of h and k?
12
Let p = -14668043/6 - -2450389. Let s = 5735 - p. Calculate the common denominator of s and 2 + 11/5 + 2.
30
Suppose 0 = -p + 4*d + 24, 22 - 2 = -4*d. Suppose 24 = p*z - 0. What is the least common multiple of z and 6?
6
Let z = 16 - 13. Suppose v = 4*l + z - 6, -2*v + 2 = -4*l. Suppose v*u = 21 + 14. Calculate the least common multiple of u and 15.
105
Let p = 30 - 21. Suppose -3*m + 51 = -p. Find the common denominator of -50/11 and m.
11
Let b(d) = -d**3 - 3*d**2 + 2*d - 2. Let j(k) = k +