on multiple of 16 and (12/7)/(d/42).
144
Suppose 20 = 15*z - 10*z. Let x(l) = -l**3 + 7*l**2 - 2*l + 7. Calculate the common denominator of x(z) and 71/6.
6
Suppose 0 = -45*z + 2*z + 2663 + 4217. Calculate the least common multiple of 324 and z.
12960
Calculate the common denominator of 127/1260 and (-72)/(-1116) + 15798/(-5580).
1260
Suppose 132*r - 2345 = 12835. Calculate the lowest common multiple of r and 253.
1265
Let n = -49/152 + 12051/5320. What is the common denominator of n and 123/40?
280
Suppose -14*o + 10*o - 15 = 3*z, 2*z + 18 = -4*o. Calculate the common denominator of 13/422 and -4 + (-679)/(-126) - 10/o.
3798
Let v = 148727/22 - 6763. Find the common denominator of -47/528 and v.
528
Let v = 6/27155 + 2253529/1520680. What is the common denominator of 58/40*(-30)/84 and v?
56
Suppose 11*p = 3*p - 6984. Find the common denominator of (-182)/(-1404)*1*p/(-42) and -25/136.
1224
Find the common denominator of 58/903 and 776/(-98) - (359 + -366).
6321
Let o = -196/6039 + -68/183. Find the common denominator of o and 2 - (1337/35 + -5)/18.
495
Let w = -269 - -277. Find the common denominator of (-2 + (-14)/(-114))*4/w and 11/16.
912
Let n = -940892/1665 - -20341/36. Calculate the common denominator of -95/22 and n.
24420
Suppose 4*x = x + 30. Suppose 6*b - 256 = -2056. What is the common denominator of -53/3 and (320/b)/(13/x)?
39
Let a be (-2)/6*-1 + (-897)/(-9). Let j(n) = n**2 - 16*n + 12. Let p be j(15). What is the common denominator of -97/4 and (135/a)/3 + p?
20
Let k(g) = -2*g**2 + 9*g + 18. Let x be k(6). Let r be -2 - x/4 - (-3316)/1646. Let h = 35960/17283 + r. Find the common denominator of -61/30 and h.
210
Let h(u) = u**3 - 18*u**2 - 13*u - 450. What is the lowest common multiple of h(20) and 555?
3330
Let f = -34 - -41. Suppose 3*u = f*u, 9 = 3*n - 4*u. Let y(q) = -2*q**2 - 29*q - 6. Calculate the lowest common multiple of y(-13) and n.
33
Suppose 32*z - 24*z = -104. Let i = z + 6. Calculate the least common multiple of ((i - 3) + 2)*-1 and 208.
208
Suppose 210 + 2366 = 46*d. What is the smallest common multiple of d and -4 - (-2 - 52)/3?
56
Let z be (-136)/(-12)*-6*2. Let c = z + 163. What is the smallest common multiple of c and 9?
27
Suppose 32*i = 192 + 11136. Calculate the smallest common multiple of 33 and i.
3894
Suppose -10*u + 25*u - 120 = 3*u. What is the least common multiple of u and 656?
3280
Let t = 17041/728005 - -14866731374819/91728630. Let u = t + -162074. What is the common denominator of u and 76/33?
1386
Suppose 0 = -u - 5*c + 30, u - 5*c = 3*u - 80. Calculate the lowest common multiple of (13 + (-77)/5)/(6/(-225)) and u.
450
Suppose 21 = -2*i + 231. Suppose -6*p + p = -i. Find the common denominator of 1/(-4) + p/(-35) and 29/2.
20
Let r(s) = s**3 + 23*s**2 + 91*s + 10. Calculate the least common multiple of r(-5) and 2226.
11130
Calculate the common denominator of ((-1)/(112/32))/((-9348)/777) and -49/36.
28044
Let a = 3437 + -3017. What is the least common multiple of 126 and a?
1260
Let h = 26 - 20. Calculate the smallest common multiple of 12/9*h/4 and 8.
8
Suppose 5*n - 575 = 18*k - 22*k, -3*k + 435 = 3*n. Calculate the least common multiple of k and 870.
4350
Suppose 0 = 5*w, -2*y - 3*y - 5*w + 165 = 0. Suppose 0 = -3*f - 2*i + 108, -88*i = f - 90*i - 36. Calculate the lowest common multiple of y and f.
396
Let a be (-22)/(-1 - (2 - 3/3)). Suppose -a*k - 4 = -9*k. Find the common denominator of (-3 - 69 - -3)/(k - -4) and 49/2.
2
What is the smallest common multiple of 2720 and (-260)/(-3)*(1/(-8) + 273/168)?
35360
Let y = 4 - 2. What is the least common multiple of y and ((-18)/10)/((-588)/(-2205))*-12 - (10 + -3)?
74
Let f(a) = -74*a - 164. Let h be f(-18). Calculate the common denominator of (h/240 + -5)/((-2)/147) and -95/8.
40
Let b(o) = o**2 - 106*o - 1286. Calculate the least common multiple of b(-11) and 195.
195
Let p = 203 - 159. Calculate the common denominator of (p - (9 + -8))*1/(-4) and -37/47.
188
Suppose 180 = h - 0*h + 5*d, -4*d = -16. What is the smallest common multiple of (-1912)/(-12) - 46/(-69) and h?
160
Let x = -34 - -38. Suppose -5*z + x = 3*f, -5 = 4*f + z + 1. What is the common denominator of 103/24 and f*(1 + 175/220)?
264
Suppose 0 = -9*v + 37650 + 118842. Let w be (-261507)/v - 5/45. Let y = w + -16/161. What is the common denominator of y and -25/16?
16
Let f(w) = w**3 - 7*w**2 + 8*w - 6. Suppose -3*h + 33 = -11*q + 10*q, 4*q = 48. What is the least common multiple of h and f(6)?
30
Calculate the common denominator of (((-8)/(-21))/8)/((-15)/(-825)) and 58/45.
315
Let m(z) = -30*z**3 + 12*z**2 + 20*z - 3. What is the least common multiple of 980 and m(-2)?
980
Let w(u) = 188*u - 1976. What is the smallest common multiple of w(11) and 48?
1104
Let n be (-1009)/(-54)*(0 - -3). Let k = 9013/153 - n. Find the common denominator of ((-219)/45)/(13/(520/48)) and k.
306
Let g(y) = y + 9. Let b be g(-7). Suppose -3*l - s - 3535 = -5*s, b*l = s - 2350. What is the common denominator of l/(-374) + 2/4 and 15?
11
Let k = 30 + -38. Let v = k + 38. Let d = -3 + v. Calculate the least common multiple of d and 21.
189
Suppose 18*g - 17*g - 433 = -6*k, 0 = -3*g + 3. Calculate the lowest common multiple of 32 and k.
288
Let h = -17 - -38. Suppose 8 = 25*u - h*u. Suppose 5*v + u*l - l - 27 = 0, v + 4*l = -6. What is the least common multiple of 1 and v?
6
Find the common denominator of (-34)/176*(60 - 59) and (-849)/36 + (-6)/9.
88
Let t = 7/296 + -3019/27528. Find the common denominator of 28/465 and t.
465
Suppose 0 = 5*w - 10*w + 110. Let d(s) = -s**2 + 64. Let y be d(8). Suppose r = -y*r + w. Calculate the smallest common multiple of r and 10.
110
Let z(d) = -5 + d**3 - 2 - 4*d**2 + 2. Suppose 17*v - 20*v + 11*f + 3 = 0, 30 = 2*v + 2*f. What is the lowest common multiple of z(5) and v?
60
Let k be -1 - -4 - ((-8755)/1640 + 0). Let h = k - 60/41. What is the common denominator of (-340)/(-48) - (1 + -4) and h?
24
Let t = 39 - 49. Let k(b) = 7*b**2 + 3*b - 5. Let n be k(t). Find the common denominator of 91/6 and 8/10 - n/(-450).
18
Suppose -4*o - 5*k - 19 = -0*o, 3 = -o - 3*k. Find the common denominator of 15/11 and ((-2)/(-12))/(-1) - (-128)/o.
22
Let s = 3426 + -1466. Calculate the least common multiple of 7 and s.
1960
Calculate the common denominator of 99/212 and (-203)/42 + 168/14.
636
Let i = -511 - -1111. What is the lowest common multiple of i and 32?
2400
Let t(r) = -4*r + 32. Let c be t(8). Suppose c*n = -2*n + 6. What is the common denominator of (36 - n)/(6 - 3 - -1) and 8?
4
Let k(t) = -t**3 + 14*t**2 - 7*t - 6. Let a be k(12). What is the common denominator of (1/7)/((-14)/35) and a/(-32) - (-10)/40?
112
Let r(n) = n**3 - 24*n**2 - 34*n + 229. Calculate the smallest common multiple of 1525 and r(25).
6100
Suppose 0 = 490*j - 492*j - 56340. Let g = 957847/34 + j. What is the common denominator of 99/8 and g?
136
What is the common denominator of -101/20 and (68/(-4) - -19) + -2 + 10/316?
1580
Suppose -4*g = -3*g + 3. Suppose 0 = 45*n + 13 - 148. What is the smallest common multiple of 8 and (3 + g - n)*-3?
72
Let x = 16959/5 + -678357/200. What is the common denominator of x and 8/2725?
21800
Suppose 0 = b + r - 3 - 0, -r + 7 = 3*b. Let u = 1 + 51/2. Find the common denominator of (-10)/(-16)*b - (-2 - 0) and u.
4
Suppose 3119 = 8*n - 1189 - 2388. Calculate the lowest common multiple of n and 31.
837
Let v = -1357773 + 1661914025/1224. Find the common denominator of v and 79/1836.
3672
Let o be ((-27)/6 - -6)*(-88)/(-6). Suppose 5*y + 34 = 4*b, -3*b + 0*y + o = -2*y. Suppose -b*k = -12*k + 252. What is the lowest common multiple of 12 and k?
84
Suppose -333*v = 151*v - 163*v - 127116. Suppose 0 = -p - l + 2, -l = 4*l + 10. What is the least common multiple of v and p?
396
Suppose 40*o - 3191 = 249. Calculate the least common multiple of 387 and o.
774
Let w(i) = 5*i - 11. Let u(p) = -10*p + 22. Let j(k) = 3*u(k) + 7*w(k). Calculate the smallest common multiple of -3*6/36*(-2 - 18) and j(8).
290
Suppose 3*p - q - 82 = -2*q, -3*p + 86 = -q. Find the common denominator of -33/74 and (56/100)/(p/455).
370
Let w = 119 + -120. Find the common denominator of (13/78)/(3/(-13)) and w*(-1030)/(-12)*(-24)/(-480).
72
Let i = 11458 - 11414. Calculate the smallest com