*y + 5*m - 16 = 4*y, 2*y - 5*m = -24. Find the common denominator of 23 and x/(-40) - y/(-4).
5
Let a = 120439/33612 + 1/8403. Calculate the common denominator of (-4)/42*(-8176)/192 and a.
36
Let z(k) = -k**2 + 10*k + 3. What is the least common multiple of 8 and z(7)?
24
Let a = -20 + 68. Let f(m) = -m + 19. Let u be f(17). Suppose u*g + 72 = -2*g. What is the common denominator of g and a?
1
Let p = 147 - 125. What is the least common multiple of 50 and p?
550
Let k = -2147/5 + 426. Calculate the common denominator of 35/3 and k.
15
Suppose -3*d - 107*i = -109*i - 83, -d + 33 = -2*i. Suppose 2*r = -2*r + 8. What is the lowest common multiple of d and r?
50
Let m = -1072 - -1075. What is the smallest common multiple of m and 45?
45
Let r(d) = d - 2. Let f be (-2 - 1)*55/(-33). Suppose f*u - 3*k - k - 51 = 0, 2*u = -4*k - 2. What is the smallest common multiple of r(u) and 7?
35
Let j(n) = n + 0*n + 2*n**2 + 2*n**2 + 2. What is the lowest common multiple of j(-1) and 10?
10
Let u = -199 + 54678/275. What is the common denominator of 17/75 and u?
825
Suppose 17*i - 17 = 34. Let r be (0 + (0 - 0))/1. Let t = 3 + r. What is the lowest common multiple of i and t?
3
Let r = 24 - 29. Calculate the common denominator of 45/16 and (-999)/180 - (-1)/r.
16
Suppose 21*v + 360 = 30*v. Calculate the least common multiple of v and 64.
320
Let u(w) = -w. Let r be u(-1). Let k be 6/21 - 344/28. Calculate the common denominator of -75/4 and r*75/k + 3.
4
Let l(p) = 5*p. Let m be 2 + -6*((-15)/9 - -1). What is the least common multiple of l(m) and 15?
30
Suppose -x = -3*d - 14, 3*x - 3*d - 26 = -8. Suppose -4*a + c - 1 = 0, -3*c + 11 = -2*a - x*a. Calculate the lowest common multiple of a and 4.
4
Suppose -30*v - 62 = 5*c - 27*v, -8 = 2*c - 3*v. Let t be ((-12)/9)/((-2)/27). Let r = t + c. What is the smallest common multiple of 8 and r?
8
Let v = -12 - -8. Let q = 36 - v. Calculate the least common multiple of 18 and q.
360
Suppose 2*n + 5 = -3*n, 4*c - 3*n - 43 = 0. Suppose 0 = 3*b + 4*d - 3, -5*b - 7*d + 10*d + 34 = 0. Calculate the lowest common multiple of b and c.
10
Suppose 4*y + 2*a = -y + 24, -y = -2*a. Suppose -v + 11 = y*j, 0 = 3*v + j - 2 - 20. What is the lowest common multiple of 5 and v?
35
Let p(t) = -2*t - 19. What is the smallest common multiple of p(-17) and 165?
165
Let t be (-3)/(2 + 33/(-12)). Suppose -k + t = -12. Calculate the least common multiple of 14 and k.
112
Let h = -9697/1728 + 184/27. Find the common denominator of -21/32 and h.
64
Let k(t) = t**3 - 3*t**2 - 6*t - 9. Let r be k(6). Let z = -60 + r. What is the smallest common multiple of z and 3?
3
Suppose n - 11 = -5*f - 2*n, 0 = 2*f + 3*n - 8. Calculate the lowest common multiple of 80 and f.
80
Suppose -2*c = 12*f - 8*f - 186, -3*c - 4*f + 285 = 0. Calculate the lowest common multiple of c and 33.
99
Let f be (-7)/(-1*(-1)/5). Let r be (-640)/f + (-4)/14. Calculate the common denominator of r*(-27)/(-48) - 0 and -45/8.
8
Calculate the smallest common multiple of 250 and -4 + 312 + 5 + -13.
1500
Suppose -256 = -6*b + 104. Calculate the smallest common multiple of 11 and b.
660
Let y(i) = -i**3 + 7*i**2 + 6*i + 18. Let s be y(8). Calculate the least common multiple of -1 - (s - 8 - 3) and 12.
24
Let w(m) = 175*m + 354. Suppose -169 = -5*f - 69. Calculate the least common multiple of f and w(-2).
20
Let q = 57021 + -2394743/42. What is the common denominator of -32/63 and q?
126
Let c = -54051/236 + 5251195/2596. Let t = 3581/2 - c. What is the common denominator of t and ((-2)/(-5))/((-12)/246)?
55
Find the common denominator of -87/4 and -31*(-28)/(-96) - -3.
24
Let h = -9 + 10. Let d = h - -27. Suppose -4*u = -i, -u + d = 4*i - 3*u. Calculate the least common multiple of i and 5.
40
Let f(a) = -2*a**2 + a. Let g be f(0). Suppose 2*v = -3*j - 3 + 12, -v - 3*j + 3 = g. What is the least common multiple of v and 18?
18
Let u = 86 - 70. Calculate the least common multiple of (2 + 10/(-3))*(-13 - -10) and u.
16
Let s be ((-3322)/6)/((-1484)/(-12)) - -3. Let i = 5/53 - s. Calculate the common denominator of i and 103/10.
70
Let l = 3 + -44. Let k = -105 - l. Calculate the common denominator of 2 + ((-28)/k - -2) and -51/20.
80
Suppose 19924 = -2*j - 3*v, -j + v - 19932 = j. Let w be 5589/4*(-107)/(-15). Let h = j + w. Calculate the common denominator of h and -15/22.
220
Let t(w) = 162*w + 987. What is the lowest common multiple of 75 and t(-6)?
75
Let q = -688851/38 - -18129. Find the common denominator of q and 79/57.
114
Let r be (-109 - -19)*(-2)/3. Let p = r - -228. Suppose 8*l - p = -l. Calculate the smallest common multiple of l and 2.
32
Let v = -1206689/30 - -40229. What is the common denominator of v and -92/585?
1170
Suppose -9*o = -5*o - 152. Suppose -o*i = -29*i - 54. Calculate the smallest common multiple of i and 18.
18
Let v(y) = -4*y. Let j be v(-1). Suppose -5*u - f = -94, -u + 4 = -j*f + 2. Suppose 4*z + 12 = 5*z. What is the least common multiple of u and z?
36
Let o be (-2)/8 + (-40226)/9240. Let y = o - 13/105. What is the common denominator of y and -10*30/(-125)*2/((-72)/(-99))?
55
Let a(p) = 2*p**2 + 13*p + 17. Let o be a(-5). Let g(b) = 0*b + 4*b + 2*b - 3. Calculate the lowest common multiple of 1 and g(o).
9
Calculate the common denominator of (-51)/2*2/8 and 132/2860 - 8/(-52).
40
Let z(s) = 6*s + 22. Calculate the least common multiple of z(2) and 136.
136
Suppose 5*k + 30 = 230. Suppose u = 3*z + k, -z = u - 6*u + 144. What is the lowest common multiple of 20 and u?
140
Let k(u) = -42*u + 96. Calculate the least common multiple of k(2) and 1930.
11580
Find the common denominator of (-54)/189*(-12)/(-45) and -139/168.
840
Let u(i) = i**3 + 6*i**2 + 5*i + 3. Let l be u(-3). Suppose -3*s + l = -9. Calculate the common denominator of (-146)/s - (-6)/2 and 11/7.
28
Let v = 186 - 168. What is the lowest common multiple of v and 8?
72
Let k = 1236 - 942. Calculate the least common multiple of 27 and k.
2646
Suppose z + 5 = h + h, 4 = -4*z. Suppose -h*k = 2*k - 72. Calculate the lowest common multiple of (-40)/(-14)*119/34 and k.
90
Let q = -124381/22 - -5649. Let z = 2/7341 + 330317/102774. What is the common denominator of q and z?
154
Let v = -2933/682 - -84/31. What is the common denominator of v and 67/1398?
15378
Let d = 47033/33 + -1425. Find the common denominator of d and 130/4*(-1)/3.
66
Let s = -35 + 34. Find the common denominator of 3*(17/4 + s) and 7/22.
44
Calculate the common denominator of (-1)/2*(-493)/(-3741) and -2/9.
774
Let m(g) be the third derivative of g**4/6 - g**3/3 - g**2. Let q be m(1). What is the least common multiple of 2 and q - 0/((-1)/1)?
2
Suppose -h = -3*h - 3*w + 64, 4*w - 8 = 0. Let l = 36 - h. Calculate the smallest common multiple of l and 8.
56
Suppose -2*n = -4735 - 4337. Find the common denominator of 7/22 and n/90*1/8.
110
Suppose -o = 3*o - 60. Let s = o + -4. Suppose -15*b + s*b + 20 = 0. What is the least common multiple of b and 7?
35
Calculate the lowest common multiple of (-116)/87*(-2 - 13) and 208.
1040
Calculate the lowest common multiple of 36 and 1920/18*36/16.
720
Let u = 34424 - 1445657/42. What is the common denominator of u and -115/12?
84
Let f be 1167/6*36/(-21). Let i = f + 35192/105. Find the common denominator of -17/4 and i.
60
Let p = 52562247 - 946452173/18. Suppose 0 = b + 4*b + 3*t + 92158, 73756 = -4*b + 5*t. Let m = b - p. Find the common denominator of 31/10 and m.
90
Calculate the common denominator of 0 - (1 - (-1)/3) and 25*(144/330)/(-4).
33
Suppose 128 = -65*n + 97*n. What is the smallest common multiple of 202 and n?
404
Suppose 6*u - 3*u + 2*v + 13 = 0, 9 = -5*u + 3*v. Calculate the least common multiple of 18 and -5 - (-125)/((-15)/u).
180
Let g = 2/23 - -49/230. What is the common denominator of g and 451/(-182) + (-531)/2478?
130
Let o(q) = -9*q**3 + 2*q**2 + q + 5. Suppose 0*u + u - 3*y = -13, -4*y = 3*u. Let w be o(u). Calculate the common denominator of w/60 - 2/5 and 43/8.
8
Let m(i) = 11*i - 123. Calculate the least common multiple of m(15) and 57.
798
Let o = 13 - -11. Calculate the least common multiple of o and 39.
312
Find the common denominator of ((-30)/(-25))/(-2) + 26/40 and 47/12.
60
Let r = -2481/8 + 311. Let w = -419/96 + -7/32. What is the common denomina