 What is the common denominator of -139/6 and (-1)/((-123)/(-21) + (g - -2))?
54
Let k = 2/49063 + 820037/392504. What is the common denominator of k and (1270/75)/(4/5)?
168
Let y = 466 + -412. Calculate the least common multiple of 78 and y.
702
Suppose 3*v + 4*k - k = 3243, 5*k = 2*v - 2155. Let d = 2168 + v. Let y = d - 32557/10. Calculate the common denominator of y and 26.
10
Suppose 4*z = -o - 19, -2*o + 16 + 1 = -3*z. Let h = 13 + -10. Suppose i = 3*r + 3 + h, -4*i - 3*r + 69 = 0. What is the least common multiple of o and i?
15
Calculate the common denominator of (-2)/(-3) - (-364)/(-144)*-1 and 83/16.
144
Let p(x) = x**2 - 3*x. Let c be p(3). Suppose c = a - 2 + 13. What is the lowest common multiple of 10 and -2*4/(4/a)?
110
What is the common denominator of 54/13 and 443/(-56) + (-138)/(-483)?
104
Find the common denominator of 5/11 and (4 + -3)*-4 + (-1210)/(-324).
1782
Let o be ((-1078204)/(-6))/(119/49). Let u = -73987 + o. Let x = 52/17 - u. Calculate the common denominator of x and 46.
3
Let n be 720/38*(315/10)/(-9). Let u = n - -55079/836. Find the common denominator of -61/40 and u.
440
Let n(i) = 5*i + 7. Let a be n(-13). Let h = 82 + a. What is the lowest common multiple of 8 and h?
24
Let w = 4787/225 - 136518/25. Let u = 5445 + w. Find the common denominator of 41/10 and u.
90
Let j(f) = -5*f**3 - 2*f**2 - 2*f - 1. Let u = 321 - 471. Let k = u - -152. What is the least common multiple of k and j(-1)?
4
Let p(i) = -i**3 - 72*i**2 - 143*i - 84. Calculate the smallest common multiple of 21 and p(-70).
126
Let k(p) = 3*p**2 + p - 4. Let j be k(-3). Suppose -7*x = -8 - j. Calculate the lowest common multiple of 22 and x.
44
Let s = -2684/5763 + 5/339. Find the common denominator of -79/34 and s.
102
Calculate the common denominator of -65/28 and 22/121 + 331/(-66).
84
Let s = -8352 - -8372. Suppose -35 = -3*t + 85. Suppose -m - 3*m + t = 0. Calculate the lowest common multiple of m and s.
20
Suppose 0 = -4*r + 34 + 6. What is the least common multiple of r and (-2)/8 - 51/(-12)?
20
Let c = -8 - -19. Let x(j) = 1. Let s(a) = a**2 + 4*a - 5. Let o(q) = s(q) - 5*x(q). Calculate the least common multiple of c and o(-7).
11
Let l be (-28)/(-126) - 183503/9. Let f = l + 489413/24. Calculate the common denominator of 149/18 and f.
72
Let u(j) = -4*j**2 + 29*j + 65. Let p(d) = 5*d**2 - 29*d - 66. Let s(g) = -5*p(g) - 6*u(g). What is the smallest common multiple of s(-26) and 33?
198
Let l = 276425/36 + -7680. What is the common denominator of 43/9 and l?
36
Let r = -427039/50 + 8540. Calculate the common denominator of -121/10 and r.
50
Let r(q) = -5*q + 12. Let f be r(4). Let p be ((-4)/f)/(2/4). What is the least common multiple of 7 and 4*p*18/12?
42
Calculate the common denominator of 67/110 and (226/(-4))/(21 + -1 - 5).
330
Let q = 133 - 193. Find the common denominator of 27/22 and (-1 + -1 + q)/(-8).
44
Find the common denominator of 2/114*(-6)/(-4) and (-2)/24*(-396)/(-48).
304
Suppose 3*o - 13 = -2*x + 2*o, 5*x - 3*o = 5. Let n(p) = -p**3 + p**2 + 2. Calculate the smallest common multiple of x and n(0).
4
Let p = 8443/2 - 4028. Let u = p - 179. What is the common denominator of 9/7 and u?
14
Let d be (-3)/(-2)*(-12)/(-9) + -2. Calculate the smallest common multiple of (-5 + (-4 - -44))/(d - -1) and 8.
280
Let l be -3 - (24 + 2) - -3. Let y be (-460291)/l - 1/(-2). Let m = y - 283169/16. Calculate the common denominator of 1/12 and m.
48
Let s(x) = 2*x**3 + 5*x**2 + x + 3. Let p be s(-7). Find the common denominator of -25/2 and p/63 + (-4)/(-14).
18
Suppose 2*t - 176 = -2*p, -3*p - t + 32 + 238 = 0. Calculate the lowest common multiple of p and 6.
546
Let w(d) = -d**2 + 15*d + 6. Calculate the smallest common multiple of w(11) and 20.
100
Let t = -246 - -260. Calculate the lowest common multiple of t and 77.
154
Let w(j) = 40*j + 4. Let b be w(-17). Let l be (-22)/(-77) - b/(-14). Calculate the common denominator of ((-9)/l)/(1/(-60)) and -23/18.
36
Let f = -222/41 + -373/287. Find the common denominator of f and (-7)/((-441)/(-532)) - -2.
63
Let r be ((-7)/4)/((-5)/(-20)). Let t = r - -16. Calculate the lowest common multiple of t and (-48)/(-9)*(-6)/(-4).
72
Let v = 1229 - 1177. Calculate the smallest common multiple of v and 60.
780
Let l(a) = -3*a - 45. Calculate the least common multiple of l(-17) and 16.
48
Let r = 7 - 8. Let q be 814/(-6) - r/(-3). Calculate the smallest common multiple of 16 and q/10*5/(-2).
272
Let h = 4793/366 - -106/61. Calculate the common denominator of -57/40 and h.
120
Let m(a) = 5*a - 2. Suppose -3*b - l - 3 = 1, 5 = -5*l. What is the least common multiple of m(2) and b + 2 + 0 + 7?
8
Let w be 2 + (56029/16002 - (-2)/(-7)). Let z = w - -5/762. Calculate the common denominator of -28/19 and z.
171
Suppose -n - 2*h = -10, 3*n - 4*h + 6 = -2*n. Calculate the smallest common multiple of (2*4/(-16))/((-2)/4) and n.
2
Find the common denominator of (-66)/(-40) - (-4)/10 and (292/48 + -6)/(2/(-9)).
40
Let j = 35 + -33. Let u be j/(-3) + (-1761813)/432. Let d = -4074 - u. Find the common denominator of d and 89/18.
144
Suppose 5*t = 78 - 28. Calculate the lowest common multiple of t and 306.
1530
Let r(k) = -k**3 - 8*k**2 + 12*k + 20. Let q be r(-9). Calculate the common denominator of 61/10 and ((-51)/(-2))/((-84)/q + -6).
20
Let d = 6 - 3. Let k = 12 + -8. What is the least common multiple of d - 3*k/12 and 14?
14
Suppose -18 + 129 = 3*d. Suppose -2*a + a + d = 0. Suppose 5*x - a = -3*i + 6, 23 = x - 3*i. What is the smallest common multiple of 5 and x?
55
Suppose -4*d + 6 = -2. Let l(v) = v**3 + 12*v**2 + 8*v - 106. What is the lowest common multiple of l(-10) and d?
14
Let z be (2/(-5))/(15/(-75)). Let q = 14/299 - 20687/1196. What is the common denominator of z/((-8)/6)*44/(-33) and q?
4
Let x(o) = -184*o - 916. What is the lowest common multiple of 76 and x(-5)?
76
Suppose 25 + 29 = 9*g. What is the smallest common multiple of g and 573?
1146
Suppose 5*r = 92 + 8. What is the lowest common multiple of r and 90?
180
Let c = -25093552/9 + 2780454. Let r = 7726 + c. Find the common denominator of r and 19/2.
18
Suppose -2*i = -0*i - 32. Let u(k) = k**3 - 10*k**2 + 12*k - 22. What is the lowest common multiple of i and u(9)?
80
Let u(o) = -o**2 - 5*o + 2. Let h be 17/(-4) - (-4)/16. What is the least common multiple of 2*(-4)/(16/(-10)) and u(h)?
30
Suppose g + 16 = o, -3*g + 0*o = 2*o + 28. Let z = 12 + g. Suppose -y + 1 + 6 = z. Calculate the smallest common multiple of 5 and y.
35
Let n be 1 - (-127 - (0 - 2)). Suppose -n = -5*c - 4*w, 0*w + 2 = -2*w. Suppose -76 = -5*r - c. Calculate the least common multiple of 4 and r.
20
What is the common denominator of 43/245 and 130/14 - (17 + -7 - 4)?
245
Let k = 67 + -33. What is the smallest common multiple of k and 5032/1224 + (-24)/(-27)?
170
Let x(t) = 8*t + t**3 - 9*t + 8 + 0*t + 6*t**2. Let d be x(-6). Suppose -2*m + d = -v + 2*v, -30 = -3*v - 3*m. What is the lowest common multiple of 2 and v?
6
Let k = -88973/4 + 22068. Let n = k - -170. Let o = 117/2 + -475/8. What is the common denominator of n and o?
8
Suppose 0 = -3*n - 5*i - 9 - 5, -i = -4*n + 12. What is the smallest common multiple of 24 and n?
24
Suppose -5*b = 2*w - 0 - 23, -4*w - 9 = -b. Let d be (-329)/49 - (w + 0). Let q = 437/14 + d. Find the common denominator of q and -91/2.
2
Let i = 25060044/55 + -455608. Let b = 149/5 - i. Find the common denominator of 123/10 and b.
110
Let j = 224 + -218. Calculate the least common multiple of j and 33.
66
Let k be (-3 - 0)*8/12. Let p be (-6)/k*20/15. Calculate the common denominator of 152/(-20) - (-2)/p and 61/4.
20
Let a be (-48)/(-28) + -2 - (-6701)/7. Let z = a + -7671/8. Find the common denominator of z and 63/5.
40
Let g = -5551/3 + 1831. Find the common denominator of 19/7 and g.
21
Let r = 447 + -423. Calculate the lowest common multiple of 3 and r.
24
Let i(j) = -19*j**3 + 2*j + 1. Let x be i(-1). Suppose 0 = 2*f + 4 - x. What is the lowest common multiple of 1*f - (-2 - -2) and 7?
7
Calculate the common denominator of (-4)/14 - 4062/(-2016) and 1 - 7/((-196)/(-142)).
336
Let g be (-7 + -29)/((-6)/8). Let s = 1693 - g. Let j = 29579/18 - s. Calculate the common denominator of 143/6 and j.
18
Let t(m) = 2*m - 4. Let u be t(-11