.
2
Let y = 4409 + -109. Let z = 25901/6 - y. Calculate the common denominator of -47/2 and z.
6
Let h = -59 - -64. Suppose -h*k = -4*f - 93, -3*k - 72 = -6*k - 3*f. Calculate the smallest common multiple of k and 9.
63
Let x be -28*(-1)/((-21)/18). Let d be (-801)/4 + (-6)/x. What is the common denominator of 83/2 and 1785/d - 3/15?
8
Let g = 5/8 + -457/72. Calculate the common denominator of -19/352 and g.
3168
Let v(t) = -t**3 - 10*t**2 - 18*t - 11. Let j be v(-8). Suppose 10*g = j*g + 20. Calculate the smallest common multiple of (3 - (-12)/(-3))*-5 and g.
20
Let z(v) = v**2 - 6*v - 8. Let f(w) be the second derivative of w**4/4 - w**3/2 + w**2/2 + 4*w. What is the least common multiple of f(2) and z(8)?
56
Let i = -87 + 94. Suppose i = -5*k + 27. Calculate the least common multiple of 35 and k.
140
Let m be (2 + -1)/(6/(-6)). Let z = m + 3. Calculate the lowest common multiple of z and 6 + (3 + -1 - -1).
18
Let t = 129 - 30. Let i be (-22)/t + (-40)/(-18). What is the common denominator of 34/i*10/(-12) and 7/16?
48
Suppose -55 + 275 = 10*q. Suppose -76 = -4*s - o, -3*o = 3*s - o - 52. What is the smallest common multiple of s and q?
220
Suppose 53 + 22 = 3*t. Suppose -5*n + t = w + 9, -w - 14 = -n. Calculate the common denominator of (w/12*-134)/3 and 127/12.
12
Let b(p) = -8*p + 2. Let o(i) = i**2 - 4*i + 10. Calculate the lowest common multiple of o(-6) and b(0).
70
Let h = 6753 - 303899/45. Find the common denominator of h and -59/42.
630
Let n = -70 - 26. What is the common denominator of (21/6)/((100/(-24))/(-5)) and n/15 + (-1 - -2)?
5
Let s = -1379 - -1459. What is the least common multiple of 5 and s?
80
Suppose -u + 3*a + 17 = 0, -2*a - 23 = -2*u - 7*a. Suppose u*v = 7*v + 77. What is the smallest common multiple of v and 7?
77
Let f(r) = 39*r**2 + 18*r - 48. What is the lowest common multiple of 6 and f(3)?
714
Let h = -1725811/156 - -11063. What is the common denominator of h and -43/91?
1092
Let z(x) = -34*x - 562. Calculate the least common multiple of 200 and z(-18).
200
Let t = -82007/252 + 4575/14. Calculate the common denominator of t and -19/192.
576
Suppose -4*n + 4*v - 12 = 0, 0 = 6*n - 2*n - 2*v + 6. Let z = 4 + n. What is the lowest common multiple of 2*z/(-6)*-3 and 11?
44
Suppose -8*f - 853 = -949. What is the lowest common multiple of f and 144?
144
Let z = 7 - 6. What is the least common multiple of z and (-15)/(-13) - 12/78?
1
Let r = 402/11 - 20480/561. Find the common denominator of 68/27 and r.
459
Suppose 2*y + 2*n = y + 11, y - 2*n - 19 = 0. What is the common denominator of y/(-48) - (2 - 0) and -77/12?
48
Let b(m) = m - 20. Let a be b(18). Calculate the common denominator of 139/6 and (-1626)/480 - a - 3/(-4).
240
Let r = -1 - -5. Suppose g - 3662 = r*g - x, -x = 4. Let t = g - -33014/27. What is the common denominator of t and 7/11?
297
Let g = 1 + 1. Suppose 27 = g*f + 5*t, 4*f - 3*t - 124 = t. Suppose 0 = 3*k + 2*k + x - 39, 3*k - 2*x = f. Calculate the least common multiple of 7 and k.
56
Calculate the common denominator of -1/99 and -2 + 1 + (-455)/(-180).
396
Let w = -39467/4110 - -900/137. What is the common denominator of -47/216 and w?
1080
Calculate the least common multiple of 3*(56/6 + 0) - 1 and 126.
378
Let d be 18/(-4)*36/(-27). Suppose 0 = -31*t + 33*t - d. What is the lowest common multiple of 36/t - (10 - 7) and 56?
504
What is the common denominator of -59/90 and (-6)/(150/(-17)) - -1?
450
Let r(c) = 3*c**2 + 4*c + 2. Let a be r(-2). Let z = 2/1551 + 82199/3102. What is the common denominator of 10/a*(-192)/15 and z?
6
Suppose 0 = k + 4*k - 15. Suppose 2 = -k*b - 10. What is the common denominator of 16 and (1 - (-38)/(-24))*b?
3
Calculate the common denominator of 76/15 and (-284)/(-32) + 1 + -3.
120
Let h = -2/129 + 1859/645. Let p = -6315/308 + -19/77. Calculate the common denominator of p and h.
60
Let d be 31782/(-40) + 8/40. Let l = d + 789. What is the common denominator of l and (2/(-11))/((-12)/105)?
220
Suppose -4*b + 16 = 4*d - 0*d, 2 = -4*d + 2*b. Find the common denominator of d*(-4)/(-32)*-190 and 87/20.
20
Suppose -4*o + 5*o = 1. Let q(r) = -r + 3. Calculate the smallest common multiple of q(-5) and (8*(-4)/(-8) - o) + 35.
152
Suppose -21*g + 325 = -16*g. Let j = g - 49. Let a = -9 - -13. What is the smallest common multiple of j and a?
16
Let z be 441/18*(-8)/(-2). Suppose 5*d + z + 82 = 0. What is the smallest common multiple of 22 and d/(-1)*6/12?
198
Suppose -24 = -3*d + 48. Calculate the smallest common multiple of d and 48.
48
Suppose 2*t = 4*h - 3*t - 15, 0 = -5*h - 2*t - 6. Suppose h = -4*k + 25 + 7. What is the common denominator of -27/2 and 21/(-18*2/k)?
6
Let k(b) = 2*b**2 - 64*b - 201. Let c(u) = 6*u + 2. Let l be c(2). Let v = -6 + l. What is the least common multiple of v and k(35)?
72
Calculate the least common multiple of (-15)/(-18) + 55/6 and 502.
2510
What is the common denominator of 10*135/(-198) + 5 and -49/22?
22
Let m = -8309/12 - -2725/4. Calculate the common denominator of 133/6 and m.
6
Let g = 84708/451 + -4149/22. Calculate the common denominator of 4/(-10) + 106/40 and g.
164
Suppose -33*a = -32*a - 51. Suppose a*j = 57*j - 132. Calculate the lowest common multiple of j and 68.
748
Find the common denominator of -1*1/20*-146 and -4 + 27/18 + (-48)/(-22).
110
Calculate the lowest common multiple of 6 and ((-135)/18)/((-1)/2).
30
Let r be (-3)/(-5) - (-1869)/35. Let j be (-7)/2*r/(-63). Suppose -4*i - 3*w + 59 = -0*i, 2*i = j*w + 7. What is the smallest common multiple of i and 6?
66
Suppose -5*t - 3 = -5*o + 17, -5*t = 2*o + 27. What is the common denominator of o/(-22) - (-2 - 0) and 926/(-252) - (-4)/14?
198
Suppose 4*p - 255 = -5*q, -4*q - p = -4*p - 235. Suppose -5*m = -q - 15. Let o = -10 + m. Calculate the smallest common multiple of o and 3.
12
Let c = -2/3621 - 112163/159324. Find the common denominator of 55/8 and c.
88
Let m be -3 - 3/6*4. Let y = 4 + m. What is the common denominator of y - (44/3 + -2) and -43/11?
33
Let a(j) = 4*j**2 - j - 2. Let n be a(-1). Let y = 9 - n. What is the least common multiple of y and (3/(-6))/((-6)/72)?
6
Let r(y) = -3*y - 12. Let z = 28 - 40. Suppose 3*c - 12 = 0, 4*f + c + 3*c = 32. What is the lowest common multiple of f and r(z)?
24
What is the common denominator of 87/100 and (-50)/120*(-246)/70?
700
Let f(d) = 8*d**2 + 2*d**2 + 2 - 1 - d**2. Suppose t + t = 20. Calculate the least common multiple of f(1) and t.
10
Suppose 4*c + 231 = 3*z, -4*c + 5*c - 308 = -4*z. What is the least common multiple of z and 49?
539
Let f be ((-35)/(-11) - 3) + 16824/33. Suppose 0 = -9*k - 8*k + f. What is the smallest common multiple of k and 21?
210
Find the common denominator of 238/(-72) + ((-190)/45 - -4) and -35/76.
684
Let m(z) = z**2 - 3*z - 12. Let r be m(-6). Let u = r - 34. Calculate the smallest common multiple of 18 and u.
72
Suppose -2*y - 2*y = -8. Suppose 0 = -y*r - 1 + 7. What is the lowest common multiple of r and 4?
12
Let u = -1 + 6. Let j = 50741 + -50730. What is the least common multiple of u and j?
55
Let a be 82838/(-110) + 1/(-5). Let y = 752 + a. Calculate the common denominator of y and ((-8)/10 - 3) + -1.
55
Let k be 2/(-10) + (-165020)/(-550). Let w = k - 4616/11. Let d = w - -1241/10. What is the common denominator of 43/10 and d?
10
Let d = 259 - 182. Let l = 101 - d. Calculate the smallest common multiple of 39 and l.
312
Let x = -508 + 519. What is the lowest common multiple of x and 3?
33
Let j = 227 + -203. Calculate the least common multiple of 54 and j.
216
Let r = -338543/66 - -5127. Calculate the common denominator of (6/32)/(10/(-8)) and r.
660
Let v be (7/2)/(13/(-26)). Let c = 11 - v. What is the lowest common multiple of 4/(-2) - -1*6 and c?
36
What is the common denominator of 8 and 2/(-24) - 32716/(-5808) - 6?
242
Let o(k) = -15*k + 13. Let i be o(3). Let x = -64 + 112. Let h = x + i. Calculate the least common multiple of 2 and h.
16
Suppose -o - o + 38 = 0. Let h = o - 12. Find the common denominator of 71/20 and 42/(-8) + (h - 5).
20
Suppose 11*p + 2*p = 26. What is the lowest common multiple of p and 206?
206
Let g = 1868/5 - 33889/90. What is the common denominator of 103/34 and g?
306
Suppose 0 = -2*y, 5*t + 5*y + 21 = -9. Let p(o) = -o**3 - 7*o**2 - 4*o +