1/840.
7560
Let a(i) = -i**3 - 16*i**2 + 16*i + 469. Calculate the lowest common multiple of a(-15) and 3078.
6156
Suppose f - 2*v + 96 = 3*f, v - 3 = 0. Find the common denominator of f + -46 + (-85)/(-93) and -125/24.
744
Let r be ((-1020)/21 - 2) + 64/112. Find the common denominator of 80/(-16) - 316/r and -31/50.
50
Let s = 107 + -77. Find the common denominator of ((-134)/(-6))/((-60)/9) and 1 + ((-507)/s - -6).
20
Suppose 35*f - 667 = -142. Calculate the least common multiple of 514 and f.
7710
Let g = -6 - 8. Let o = g - -18. Suppose -3*l = o*c - 10, -l + 5 = -2*c + 3*c. What is the least common multiple of 58 and l?
290
Let i(f) = -10*f - 53. Let b be i(-5). Find the common denominator of -17/5 and (-5)/((-180)/(-232))*b/(-21).
315
Let x = -2678877 + 7088308651/2646. Find the common denominator of x and -53/21.
2646
Let l = -6210 - -6218. Calculate the least common multiple of 90 and l.
360
Suppose -65*q + 2107 = -1403. Find the common denominator of (-2*5/(-150))/(9/q) and (71/(-30))/(2/(-6)).
10
What is the common denominator of 11/(-110)*(1 + -10) and ((-212)/30 - -7)/((-20)/(-282))?
50
Let r = 148/173 + 11078/3633. Calculate the common denominator of -101/966 and r.
966
Let m(k) = k**3 - 6*k**2 + 3*k - 21. Let f be m(6). Calculate the common denominator of (11 + 744/(-18))/(16/f) and ((-2)/5)/((-32)/(-55)).
16
Let o(u) = u**3 + 22*u**2 - 32*u + 424. What is the lowest common multiple of 704 and o(-24)?
3520
Let p(s) = 8*s**3 + 40*s**2 - 8*s + 4. Calculate the smallest common multiple of 22 and p(5).
21604
Suppose 52*l = 53*l + 19. Let m(s) = -s**2 - 14*s + 101. What is the lowest common multiple of 652 and m(l)?
1956
Let c be 12/18 - 186/9. What is the lowest common multiple of 120 and 13 + c + 7 - (-5 - 1)?
120
Suppose 14*f - 23*f - 7124 = -11*f. What is the lowest common multiple of 18 and f?
32058
Let y be (1/2)/(34/(-721538)). Let q = y + 10609. What is the common denominator of 10/7 and q?
238
Let u = 705/83 - 74489/7470. Find the common denominator of -26/9 and u.
90
Let z be -78 - -678 - (14/(-12) + 1). Let d = 15595/26 - z. Calculate the common denominator of d and -65/18.
234
Let t = 6/47 - -2354/705. Find the common denominator of -139/7416 and t.
37080
Let w = -12056 - -13512. What is the smallest common multiple of 2184 and w?
4368
Let k = 296 + -295. Let x = 91/540 - -67/27. What is the common denominator of x and k/(-3)*4*(-74)/(-16)?
60
Let r = -167642 + 31516619/188. What is the common denominator of (13 - (-1363)/(-94)) + 132/15 and r?
940
Let a be 3/(0 + (-12)/(-32)). Let c(d) = d + 10. Suppose -15*x - 20 = -17*x. Calculate the least common multiple of x and c(a).
90
Suppose -3*w = -t - t - 126, 2*t - 168 = -4*w. What is the smallest common multiple of 4/(-3) + (-18048)/(-576) and w?
210
Let h(u) = -9*u + 75. Let k be h(8). Suppose -2*v - k*w = 7 - 46, -5*w + 15 = 0. Calculate the lowest common multiple of v and 8.
120
Suppose 0*j + j = -90. Let l = -634461/34 - -18662. Calculate the common denominator of l and (9/6)/(j/69).
340
Let o = 25 + -22. Let q be (-9)/(-2 - -5) - -1*o. Let y(m) = m**2 - 2*m + 2. Calculate the lowest common multiple of y(q) and 2.
2
Suppose 0 = 4*i + 20*d - 22*d - 138, -5*d = -45. Suppose 0 = t - 35 - 4. What is the lowest common multiple of i and t?
39
Let f be (-7 + 3)/(14/(-77)). Find the common denominator of (-3064)/(-528)*3 + 2/f and 10/(-4)*(-11)/5.
2
Let j = -493/3 - -5270/33. Let m be 1238915/(-15)*2/8. Let w = 20660 + m. Find the common denominator of w and j.
132
Let l be ((-2)/(-4)*0)/(78 + -79). Suppose l = -9*a + 81 + 27. Calculate the least common multiple of a and 6.
12
Find the common denominator of (-10 - -12) + 5382/(-1890) and -139/1260.
1260
Suppose 45171 = -8*w - 13*w. Let v = w + 8647/4. Let g = -46133/16 + 2882. Calculate the common denominator of g and v.
16
Let j(k) = -k**2 + 8*k + 14. Let p be j(0). Suppose 48 = 2*q - 0. What is the smallest common multiple of (-11)/((-77)/(-3)) - (-216)/p and q?
120
Let n = 747280/1626273 - -3/32854. Find the common denominator of n and -109/2508.
7524
Let p(t) = 4*t - 59. Let u be p(-18). Let c = -120 - u. Suppose -c = -y - 3. Calculate the least common multiple of y and 12.
24
Let f be (-2028)/7 - ((-20)/35)/(-2). Let d = 298 + f. Calculate the lowest common multiple of d and 8.
8
Let i = 29 + -27. Suppose -31 = i*v + d, -3*v = v - 3*d + 47. What is the common denominator of 289/42 + (-4)/v and -36?
6
Let n be ((-45)/(-132))/(1/72). Let a = n - 585/44. Find the common denominator of a and -7*5/42 - 65/9.
36
Suppose -2*d - 20*g + 2870 = -25*g, -5*d + 7070 = 5*g. Calculate the least common multiple of 24 and d.
8520
Let j = -1035 + 1548. Let b = j - 307. Let p = 283 + -275. What is the lowest common multiple of p and b?
824
Suppose -2*a + 0*a + 3*j - 23 = 0, -3*a + 3*j = 33. Let l be a/(-2) - (-7596)/4056. Let g = -3/1352 - l. Find the common denominator of -89/2 and g.
8
What is the common denominator of 18/4897 and ((-2 + 0)/((-57)/19))/(16/(-1164))?
9794
Let a = -3 - 1. What is the common denominator of (-7974)/(-1440) - a/10 and 194/3*(-27)/(-252)?
112
Let p = 779833/6222 - 3/2074. Let r = p - 124. Calculate the common denominator of (-1)/2 + 17/(-6) and r.
3
Let h(q) = 5*q - 29. Suppose -12*p + 7*p + 55 = 0. Let u be h(p). Suppose w + 11 = u. What is the lowest common multiple of 12 and w?
60
Calculate the lowest common multiple of (-2 - -1) + 35 - -6 and 120.
120
Let f(j) = j**3 - 9*j**2 - 8*j + 87. Let c = -64 - -79. Calculate the least common multiple of f(9) and c.
15
Let n = -191353/20 + 9565. What is the common denominator of (-285)/4*4/(-10) and n?
20
Suppose -17*k = -2*k - 150. Let g(o) = -o**2 + 14*o - 41. Let b be g(k). Calculate the common denominator of -181/60 and b + 4 - (3 + 522/(-60)).
60
Let w = -67659/14 - -4837. Let a = 80 - 78. What is the common denominator of (-3 + (-381)/(-24) + -1)/a and w?
112
Let l be (-127388851)/5742 + 1/6. Let v = l - -22186. What is the common denominator of 76/27 and v?
297
Let y = 0 - -2. Let q be 2/3*5*(y + -8). What is the common denominator of 58/(-90) - (-16)/q and 41/7?
63
Let w(b) be the first derivative of -b**3/3 - 5*b**2/2 + 12*b - 58. Calculate the smallest common multiple of 198 and w(-6).
198
Calculate the common denominator of 290/87*(-6)/49 and -53/42.
294
What is the common denominator of (-5622)/783 + ((-176)/(-264))/(29/3) and -42/443?
3987
Suppose -13*s + 42 = s. Calculate the smallest common multiple of 286 and (s - 36/8)*(-4)/3.
286
Suppose 0 = -9*z + 4*z - 5*i + 2750, 2*z = -i + 1100. What is the least common multiple of 220 and z?
1100
Let y be (-12)/(-7)*28/(-8). Find the common denominator of (7/(-12))/(y*3/192) and 119/30.
90
Let n = 177 - 175. Suppose 4*m = i - 6 - 6, n*i = -m + 69. What is the smallest common multiple of i and 14?
224
Let m = -29387 - -29893. Calculate the lowest common multiple of m and 5152.
56672
What is the common denominator of 2 + (987/36)/(116/(-9)) and -101/80?
2320
Let y(b) = -b**3 + 12*b**2 - 12*b + 18. Let d be y(11). Suppose -d*j - 33 = 198. Let r = j - -43. What is the common denominator of r and 11/5?
5
Suppose 3*x = k - 26, 3*x - 2*k - 2*k = -41. Let v = -8 - x. Calculate the lowest common multiple of 12 and (12 - 56)/(v*2).
132
Let t(h) = 11*h + 7*h + 15*h + 12 - 50*h - h**2. Suppose p - 20 = -p. What is the lowest common multiple of p and t(-17)?
60
Suppose -l + 4*a + 2 - 3 = 0, 0 = l - 3*a. Suppose -63 + 17 = -l*q + 5*w, 3*q + 4*w = 1. Suppose -7*n + 17 = -11. What is the least common multiple of n and q?
28
Let v be (-1)/5 - ((-22172)/10 + -3). Let r = v - 11027. Let f = r - -193859/22. Calculate the common denominator of f and 17/8.
88
Suppose 1010 = 4*a - 62. Let y = 282 - a. What is the smallest common multiple of y and 7?
14
Let x(j) = -59*j - 430. What is the least common multiple of 321 and x(-8)?
4494
Let r be 0 + -1 + 4 - 2. Calculate the common denominator of (-5 + (-417)/(-63))/(15*2/(-14)) and r/(-12)*(-2 + 43).
180
Let w = 79 - 43. Suppose 0 = -95*k + 97*k - 32. Calculate the least common multiple of w and k.
144
Let d(z) = 2*z - 6. Let f be d(5). Suppose i = -2*s - 2*i + 47, -4*i + f = 0. Let a = 477350 - 477344. Calculate the lowest common multiple of a and s.
66
Let z be ((-1248)/112)/(1/(-7))