Let d = 330249/28 - 11791. What is the common denominator of 19/2303 and d?
9212
Let t = 1923139/118 - 16298. What is the common denominator of -1/11 and t?
1298
Let s = 6521/5 - 1392. Let h = 9049/105 + s. What is the common denominator of h and 344/132 + (-4)/6?
231
Let y(u) = u**3 - 17*u**2 - 35*u - 52. Let i(q) = -q**3 - 6*q**2 - 14*q - 65. Let t be i(-6). Calculate the smallest common multiple of 11 and y(t).
55
Let a = -321 - -315. Let s(f) = 11*f. What is the least common multiple of s(4) and 13 + a + (-4 - 2/1)?
44
Let j = -39 - -25. Let d = j + 25. Calculate the least common multiple of d and 6.
66
What is the common denominator of (((-1)/(-1))/(-28064))/(-8 + (-5589)/(-702)) and -85/36?
126288
Suppose 0*r = -7*r + 217. Let q = r + -43. What is the least common multiple of 2 - 3*16/q and 4?
12
Suppose 75 = d + 67. Suppose -2*f + 4*b + 32 = 0, 3*f - 4*b = 49 - 7. Suppose 0 = 5*u - f, -3*l + 15 + 5 = u. What is the lowest common multiple of l and d?
24
Suppose 12*u + 622 = 1678. What is the smallest common multiple of u and 36?
792
Let k = 886 - -496. Let l = k + -251523/182. Let t = l - -2819/364. Find the common denominator of -9/44 and t.
44
Suppose -3*d = 5*h + 5, 3*d + 4*h = 3*h - 1. Suppose 3*s - 4 = 5*s, 4*v - 5*s + 534 = d. Find the common denominator of 89/8 and ((-119)/v)/(2/(-22)).
8
Let u(h) = h**3 + 8*h**2 + 8*h + 7. Let r be u(-7). Find the common denominator of r - -1 - (-125)/(-48) and (-120)/90 - (-1785)/(-180).
48
Let a = -4684 - -7462. Let g = -49949/18 + a. Find the common denominator of g and 133/30.
90
Suppose -4*u + 190 = -1970. Suppose 283*d - 279*d - u = 0. Calculate the lowest common multiple of 45 and d.
135
Let b(u) = -32*u**3 - u**2 - u - 2. Suppose 16 = -3*p + 106. What is the smallest common multiple of p and b(-1)?
30
Let b = 6489108207/3140 - 2066595. Calculate the common denominator of b and 13/4.
3140
What is the common denominator of (14 - 8685/620)*-35 and 125/168?
5208
Let v = -7272 - -7380. Calculate the smallest common multiple of v and 288.
864
Let l(t) = 5*t**2 + 41*t - 430. What is the least common multiple of 18 and l(21)?
23724
Let q be (-1)/(0 - 2/(-6)) + 4. Let a be (-32)/(-6) + (-6)/(-9). What is the lowest common multiple of 11 and q/a - (-118)/12?
110
Let x = 143633/24 + -5980. What is the common denominator of -47/2808 and x?
2808
Let l = -25634/5 + 5130. What is the common denominator of -53/2482 and l?
12410
Let w = -203 - -220. Suppose -w*v + 110 = -15*v + 2*a, 0 = 5*v - 5*a - 245. What is the least common multiple of (-12)/(4/(-2)) - 2 and v?
52
Let l(t) = -t**2 - 29*t - 4. Let y be l(-17). What is the common denominator of -121/20 and (-1072)/(-24)*6/y?
100
Find the common denominator of 11544/(-28160) + 8/20 and 103/110.
3520
Suppose -2*y + 5*u - 1460 = 0, 5*y + 3*u = 8*y + 2190. Let p = 733 + y. Calculate the smallest common multiple of (-6)/(-2) - 0 - -2 and p.
15
What is the common denominator of 3/8 and (837/(-5890))/(((-2)/2)/(90/(-12)))?
152
Let r be 3558*(-11 - -1)/(-18 - -12). Let c be 5277/r - (0 - 4). Let w = 6/593 + c. Calculate the common denominator of 11/8 and w.
40
Let t = 564 - 185. Let x = t + -169. What is the smallest common multiple of 22 and x?
2310
Suppose 0 = -2*x + 12 + 24. Calculate the smallest common multiple of x and ((-8)/(-20))/((-4)/(-120)).
36
Let v be (64/20)/(((-21)/30)/(-7)). Suppose 0 = 35*m - v*m - 27. What is the lowest common multiple of 99 and m?
99
Let z = 11067797/16 - 691489. Let k = z + -247. Let w = -575129/501486 - 10/4399. Find the common denominator of w and k.
912
Let b(j) = 6*j - 224. Let f be b(-10). What is the common denominator of 103/12 and f/(-10)*10/112?
84
Suppose -3*j - 61 = -4*h - 397, -5*h - 570 = -5*j. What is the least common multiple of j and 573?
22920
Let r(i) = 19*i**2 - 16*i - 48. Suppose 0*g + 3 = g + 3*j, 4*g - 82 = 2*j. What is the least common multiple of r(-2) and g?
180
Let x(g) = -2*g**3 - 26*g**2 - 91*g - 53. What is the smallest common multiple of 5 and x(-16)?
14695
Let y = -136685/12 - -11400. Let c = 409 - 407. What is the common denominator of (-303)/c*-4*6/648 and y?
36
Let o = -1210085/912 - -25182/19. Let r = -2790/7 + 50605/126. What is the common denominator of r and o?
144
Let m be 3/(42/(-4)) - 12584/56. What is the common denominator of m/(-112) + -1 + -2 and 81/16?
112
Find the common denominator of (-22)/(-120)*17094/1036 and (-705)/(-12)*(-4)/10.
40
Suppose 0 = 254*k - 307*k + 7579. What is the lowest common multiple of k and 494?
5434
Suppose -5*h = 2831 + 6264. Let w = h + 19996/11. Let i = -12523/15 + 837. What is the common denominator of i and w?
165
Let h(p) = -p + 33. Let r be h(29). Suppose -2*b + 12 + r = 0. What is the smallest common multiple of b and (1/3)/((-1)/(-6))?
8
What is the least common multiple of (-7 - (-1 - 10))*(-36)/16*-57 and 216?
4104
Let u = 3972 - 2418. Calculate the least common multiple of u and 5698.
17094
Let i = 2368 - 405. Let v = i - 5926/3. What is the common denominator of v and 2/18*(-1 + 74)?
9
Let o(i) = i**3 + 22*i**2 - 20*i - 293. Calculate the lowest common multiple of o(-21) and 72.
5112
Let j be 4/8 + 366/4. Suppose -2*d + j - 64 = 0. What is the lowest common multiple of 4 and (-15)/35*-3 + (-4)/d?
4
Let x(h) = -31*h + 54. Let r be x(6). Let f = -123 - r. Suppose 4*c - 53 - f = -3*v, 0 = 3*v - 5*c - 44. What is the least common multiple of 18 and v?
18
Let x = -2509 + 2669. Calculate the lowest common multiple of x and 56.
1120
Let r = 245116177052790242555461/1411695 + -173632531851977818. Let k = r + -2958/52285. Let t = -8793 + k. Calculate the common denominator of 59/12 and t.
108
Let b(n) = n**3 + 15*n**2 - 7*n - 22. Let m be b(-15). Suppose 5*d + 747 + m = 0. What is the common denominator of -103/10 and (d/(-6))/((-70)/(-21))?
10
Suppose 32*y - 2*a - 1540 = 27*y, 0 = -2*y + 5*a + 637. Calculate the least common multiple of y and 66.
3366
Let n = -575801/79066536 + -7/38086. What is the common denominator of 93/20 and n?
20760
Let t = -687 - -24833/36. Let m = 8017/84 + -657/7. Calculate the common denominator of t and m.
36
Let i = 15791 + -15169. What is the least common multiple of i and 16?
4976
Let g = 271/839 - -25127/293650. What is the common denominator of 27/350 and g?
350
Suppose -4*y = 7 - 23, 4*p - 2*y = 0. Let i = 28598 - 28510. What is the least common multiple of p and i?
88
Let a(y) = -86*y - 3040. What is the smallest common multiple of a(-39) and 942?
942
Let k = 16920/19 - 2504673/2812. What is the common denominator of k and -65/138?
10212
Let g(a) = a**3 - 30*a**2 + 57*a - 26. Let k be g(28). Suppose u - 41 = -k*q + 99, -u - 70 = -q. What is the lowest common multiple of q and 154?
770
Suppose -j - 4200 = 3*j. Let k = -117933/42601 + -3/3277. Find the common denominator of j/165*6/(-10) and k.
143
Let q = -14/511084498665 - -30487746313769939/1463405281177450. Let l = -2/21475 + q. Find the common denominator of 19/20 and l.
60
What is the common denominator of 3*(-166)/(-264) - 0 and ((1199/(-10))/(-11))/(12/20)?
132
Let b(z) = 14*z - 104. Let m be b(7). Calculate the common denominator of (m/((-3420)/305))/(30/(-9)) and -3/14.
2660
Suppose 2744 = 4*n - 3*w, -w - 686 = -12*n + 11*n. Calculate the lowest common multiple of n and 2744.
2744
Let b = -91 - -235. What is the common denominator of 47/(-141) + 242/b and 107/18?
72
Suppose -5*b + 20 = -5*w, b + 36 = 4*b + 3*w. Let a = -536 - -985. Suppose -a*v - 81 = -458*v. What is the smallest common multiple of v and b?
72
Let v = -1580 + 6385/4. Find the common denominator of 1515/(-120)*2*6/132 and v.
88
Suppose 33 = 4*f + 4*b + 1097, -3*f - 2*b = 799. Let n = f - -275. Calculate the least common multiple of 56 and n.
56
Let b = 3777899 + -56697547/15. Let k = -1941 - b. Calculate the common denominator of k and (524/48 + 1)/(-1).
60
Let l = 401 + -18046/45. Let c = -593/360 - l. Find the common denominator of c and 35/26.
104
Suppose 85*b - 50 = 90*b. Let s = b - -15. Let i = 21 - s. What is the lowest common multiple of i and 6?
48
Let r = 1471/2 + -696. Let n = -1282/3 + 3901120/9129. Let p = -130865/24344 - n. Find the common denominator of r and p.
8
Let q be (-40)/(-7) - (-10)/35. Let a(z) = z**3 - 3*z**2 - 12*z + 1. Let p be a(5). Calculate the common den