3*p = 4*p + 43, 13 = o - p. What is the lowest common multiple of 92 and o?
460
Let f be 6*(-1)/(-2)*20/(-12). Let c be (12/(-2))/(-7 - f). What is the least common multiple of 6 and (-2 - c)*18/(-15)?
6
What is the common denominator of -71/11304 and (-39)/(-12) - (31 - 16)?
11304
Suppose -4*x + 1473 = 5*h, -21*h + 26*h = 9*x + 1512. What is the lowest common multiple of 2772 and h?
8316
Let z = 1/15945 + 217907/127560. Calculate the common denominator of 143/180 and z.
360
Let o(c) = 44*c - 4518. What is the smallest common multiple of 15 and o(105)?
510
Suppose 2*p + 3*f = 11*p - 4929, -p = -5*f - 515. What is the smallest common multiple of 1600 and p?
17600
Let k(j) = -j**3 + 6*j**2 + 11*j - 26. Suppose -11*b + 14*b = 18. What is the least common multiple of 16 and k(b)?
80
Suppose j - 10 = -4*q, -q + 12 = -0*q + 5*j. Let k(m) = 14*m - 8*m - 8*m**q + 8 + m**3 - 19*m - 6*m. Calculate the least common multiple of 18 and k(10).
18
Suppose 1848 = -h + 1860. What is the smallest common multiple of h and 10?
60
Let f(h) = -h**3 - h**2 + 4*h - 1. Let j be f(-3). Suppose -2*c = j*l - 30, -c = -0*c - 3*l - 15. Calculate the smallest common multiple of 96 and c.
480
Suppose -2*i - 484 = i + 5*f, -f - 162 = i. What is the common denominator of 1/36 and (1 + i)*-7*8/(-4928)?
396
Let i(o) = 4*o - 20. Let s be i(7). Suppose -4*q + 4 = s. Calculate the lowest common multiple of (q - 2) + 92/4 and 24.
120
Calculate the common denominator of 107/528 and ((-978)/704)/((693/14)/(-11)).
528
Suppose 0 = 18*r - 31*r - 26. What is the lowest common multiple of r/24 + (-6859)/(-228) and 25?
150
Calculate the common denominator of ((-297)/306)/11*26 and 1*2/8*1616/32.
136
Let n = -11 + 4. Find the common denominator of (((-124)/(-12))/((-8)/(-3)))/((-2)/(-4)) and 2 + ((-45)/n - 0).
28
Let r be ((-3)/(-1))/810*96322*77. Let g = -167654171/6102 + r. Let k = g + 306/113. Find the common denominator of k and 14/15.
30
Let m = 47 - 15. Let u be 28/(-7) + 4 - (m - 1). Let r = -13 - u. What is the smallest common multiple of r and 120?
360
Suppose -11*a + 420 = 3*a. Suppose -5*d = -75 - a. Let c = -3 + d. What is the smallest common multiple of c and 16?
144
Let n(t) = 6*t**2 + 10*t + 1. Suppose -16*o + 2*o = -210. What is the lowest common multiple of o and n(-3)?
75
Let q(d) = 26*d - 56. Suppose -4 = 4*x - 40. What is the lowest common multiple of q(x) and 10?
890
Suppose 30 = -119*i + 124*i. Calculate the least common multiple of 5814/272 + i/(-16) and 2/(-8) - (-121)/4.
210
Suppose -5681 = 19*h + 4*h. Let k = h - -257. Calculate the least common multiple of 132 and k.
660
Let t = -21824/17 - -1282. Let u be (-2 + 22245/11124)/((-9)/(-81738)). Let o = 1/206 + u. Calculate the common denominator of t and o.
153
What is the lowest common multiple of 831 and 0 - (6/33 - ((-1330)/(-11))/5)?
6648
Let w = 6369 + -5331. What is the least common multiple of w and 2?
1038
Calculate the common denominator of ((-6)/5400)/((-2)/352*-8) and 127/810.
4050
Let q(z) = -7*z + 60. Suppose -3*t = 5*j - 8*j - 9, 39 = 5*t + j. Calculate the smallest common multiple of q(t) and 32.
352
Let l = -1408 - -4072. Let g = l + -10733/4. What is the common denominator of -61/98 and g?
196
What is the least common multiple of 25 - (8 - (10 + -3))/((-2)/(-10)) and 0 + (-5)/(5/(-18))?
180
Let h = 19 - 8. Suppose 6*v + 799 = -11*v. Let l = 57 + v. Calculate the smallest common multiple of l and h.
110
Suppose -t = -2*t - 10. Let g = t + 21. Calculate the lowest common multiple of (-2)/(-5)*(9 - 29 - -30) and g.
44
Calculate the common denominator of 35/381 and (31/5 + 6 + -3)/(81/(-45)).
1143
Let j = -1919/250 - 3/125. Calculate the common denominator of (-798)/2052*47/35 and j.
90
Calculate the common denominator of (4/14)/(75/(-525)) + (-82)/80 and 59/380.
760
Let d = -24815 - -25085. Calculate the smallest common multiple of d and 60.
540
Suppose 5*l - 18 - 57 = 0. Suppose -k = -6*z + 2*z + 121, -z + 5*k = -35. Calculate the lowest common multiple of z and l.
30
Calculate the lowest common multiple of 0 - -102 - (1 + 1) and 40.
200
Calculate the lowest common multiple of -6*-179*(35/20)/(6/8) and 2864.
20048
Suppose -3*w + 63 = -3*f, w + 3*f - 27 = 7*f. Suppose w = 4*a - o, 5*o + 8 + 27 = 5*a. Let v = 0 - -1. Calculate the smallest common multiple of a and v.
4
Suppose 0 = -324*g + 337*g - 468. Suppose 23*l - g = 148. What is the smallest common multiple of 208 and l?
208
Let c = -11098 + 14486. Calculate the least common multiple of c and 308.
3388
Let m(o) = 423*o - 644. What is the least common multiple of m(4) and 18?
9432
Let n = 3 + 0. What is the common denominator of (-112)/(-21) + 1/n and 4/18 + (-157)/72?
24
Let n(b) = b**3 + 7*b**2 + 9*b + 36. Suppose -2*r - 18 = 2*y, 0 = 3*r - 32*y + 29*y + 9. Calculate the lowest common multiple of n(r) and 12.
36
Calculate the common denominator of -7/930 and ((-2282)/560 - (-24)/(-64)) + (-3)/4.
930
Let g = -37847/9 + 4198. What is the common denominator of g and (-110)/(5 - -6)*(-70)/125?
45
Let x = -216 - -589/3. Suppose 5*n + 55 = -5*d, -2*n - 22 = 2*d + n. What is the common denominator of x and ((-176)/24)/d*438/32?
24
Let f(o) = 10*o + 728. Suppose 0 = 3*u - i + 2*i - 68, 53 = 3*u - 2*i. What is the smallest common multiple of f(-68) and u?
336
Let v = -198 + 189. Find the common denominator of (6 - 4) + 10/v and 97/144.
144
Let u = 140 + -258. Calculate the common denominator of 38/33 and u/228 - 2/(-4).
627
Suppose -9*b = -5*b + 64. Let z = 68 + -54. What is the least common multiple of (-2)/4 - 104/b and z?
42
Let v be (1*-1)/((-3)/42). Suppose s - 4*y = v, 2*s + 0*s + y - 28 = 0. What is the lowest common multiple of s and 224?
224
Suppose -2*y = -2*m + 10, 1 + 0 = y. What is the common denominator of m/(9/(-3))*(-176)/(-192) and -63/5?
30
Let i = 0 - -1. Suppose -5*m - 499*s = -504*s - 20, s + 22 = 3*m. What is the least common multiple of i/(-4) - (-73)/4 and m?
18
Suppose 157*t - 151*t + 1188 = 0. Let y = t + 225. Calculate the smallest common multiple of 33 and y.
297
Let k = -141 - -6684/47. Let r = -5211/470 - k. What is the common denominator of -47/10 and r?
10
Suppose 65*c + 21216 = 91*c. What is the least common multiple of c and 6?
816
Suppose 4*c = v - 80 - 293, 3*v + 369 = -4*c. Let h be 7/((12/c)/(-4)). Calculate the lowest common multiple of 24 and (-2)/4 - h/(-14).
120
Let q = -2723/1440 - -365/96. Find the common denominator of 55/153 and q.
765
Let l be (-4)/(-16) + (-702)/(-72). Calculate the lowest common multiple of (3 - -2) + (-40)/l and 177.
177
Let i = -2 - -4. Let f(l) = 17*l + 6. Let u be f(i). Suppose 38*a = u*a - 18. What is the least common multiple of 1 and a?
9
Let h = -5157 + 5163. Let m(f) be the second derivative of f**4/12 - 2*f**3/3 - 3*f**2 - f. What is the lowest common multiple of m(h) and 15?
30
Let n = 205 + -201. Calculate the smallest common multiple of n and 1*4*(-4)/(-16).
4
Suppose 4*u + 4*m - 80 = 0, m = -29 + 31. Calculate the smallest common multiple of u and (2 + 0)/(4/22).
198
Find the common denominator of 97/18 and ((-525)/2898)/(11 + -8).
414
Let f(r) = 0*r**3 - 3*r - r**3 - 12*r**2 + 4 + 7*r**2. Let b be f(-4). Calculate the lowest common multiple of b + (9 - 3 - (-1 - -4)) and 33.
33
Let q be (-10)/(-25) + 84602/3120. Let s = 26/1179 + -388229/15327. Let f = s + q. Calculate the common denominator of f and 88/45.
360
Let a = -105 - -320/3. Let s = 2498 - 22520/9. Find the common denominator of s and a.
9
Suppose f - 17*f + 288 = 0. Calculate the smallest common multiple of 12 and f + (-11 - (4 - 8)).
132
Find the common denominator of 25416/5040 - -2*(-9)/6 and -93/8.
280
Suppose 4*j + 1492 = 4*z, 26 = 5*z + 21. Let x = 570 + j. What is the smallest common multiple of 2 and x?
198
Let h = -18/563 - 25083/7882. Let m be ((-160)/5 - 0)/1. Calculate the common denominator of h and (1/5)/(m/(-1900)).
56
Suppose 0 = -4*a - 16 - 4, 2*m + 5*a - 19 = 0. Suppose 3*i + 4 = 4*d, d + 5*i + m = -0*d. What is the smallest common multiple of 3 and d/(-5) - 3416/(-35)?
294
Let d be (49 - 10)/((-3)/(-2)). Let o = d - 25. Calculate the lowest common multiple of o and (-500)/(-10) - (1 - 7)/(-2).
47
Let n = 3162 + -3117. Calculate the smallest common multiple of 864 and n.
4320
Let h = 1194197/468 