
Let v = -122089656 - -305956697127/2506. Let a = v + 74/179. What is the common denominator of a and -11/18?
126
Suppose 3*c - c = -12. Let h = 4/175 - 6141/700. What is the common denominator of h and c/(-24) + (-31)/2?
4
Suppose -2*r = -4*p + 3*r + 40, p + 2*r - 10 = 0. Calculate the smallest common multiple of 1*(-1)/(1/(-5)) and p.
10
Let n = 32 - -7. Calculate the common denominator of -1*3 - n/30 and 151/12.
60
Let t = 37773 + -2455299/65. Let u = -1/11101457 - -35946518221/5051162935. Let f = t + u. Calculate the common denominator of -8/9 and f.
63
Let i be -3 + -1 + 176273/14. Let u = -12581 + i. What is the common denominator of u and (-114)/32 + -1 + 2?
112
Let v = 7 + 0. Let b = -3 + v. Suppose 2*t = -2*q + 12, 7*q - 16 = 3*q. What is the lowest common multiple of b and t?
4
Let o be (-2)/(-10) + (-182059)/(-30). Suppose 2*g + 4*a + 12158 = 0, 2*a + 6937 = 4*g + 31283. Let t = o + g. Find the common denominator of 34/11 and t.
66
Let w(o) = o**3 + 4*o**2 + 4. Let u be (-50)/18 - 6/27. Calculate the least common multiple of w(-4) and u - (-4 - -2) - -9.
8
Let z = 2/423 + -19043/1692. Find the common denominator of z and 57/2.
4
Let h = 22 + 5. Let l = 45 - h. What is the least common multiple of l and 10?
90
Let g(m) = m + 33. Let n be g(0). Calculate the lowest common multiple of 9 and (3 + n/(-9))*-6.
36
Find the common denominator of (-4)/(4/2) + (-1287)/(-126) and -25/8.
56
Suppose 15 = 4*h - 17. Calculate the least common multiple of 16 and h.
16
Let r = 165393/20 - 8267. What is the common denominator of -1/2 and r?
20
Let b be (-118)/(-642) - 5/15. Let q be ((-3691)/5)/(-1 + -213). Let r = b + q. What is the common denominator of r and 37/22?
110
Let u = -2 + 0. What is the smallest common multiple of 9 and 4/(-2) - u - -1?
9
Let t(z) = -4*z**3 - 4*z**2 - 3*z - 1. Calculate the smallest common multiple of t(-2) and 6.
42
Suppose 11 = -j + 3. Let w = -1 - j. Calculate the least common multiple of w and (-2 + -31)*(-1)/3.
77
Calculate the lowest common multiple of (-45)/(-75) + (-14)/(-10) and 14.
14
Let z(u) = -2*u**2 - 7*u + 8. Let g be z(-6). Let w = g + 36. Calculate the lowest common multiple of (-3 + (-21)/(-9))*-3 and w.
14
Let k = 52211/8 - 6518. Calculate the common denominator of -9/47 and k.
376
Let g = -12 + 12. Let d = g + 2. What is the lowest common multiple of d and 2?
2
Suppose 2*d - 35 = -3*d. Suppose -t + d = -0*t. Calculate the lowest common multiple of 17 and t.
119
Suppose -v - 4*s = -12, -5*v - 4*s = -3*s + 16. Let d = 3465 - 20737/6. What is the common denominator of d and 36/(-160)*(-90)/v?
48
Let z = 827/63 - 39/7. What is the common denominator of -73/57 and z?
171
Suppose -2*b - 3*m + 28 = 0, -m - 28 = 2*b - 6*b. What is the smallest common multiple of b and 14?
56
Let s = -2/2001 + 17344/2001. Let h = -360 - -86. Calculate the common denominator of h/(-36) - 3/6 and s.
9
Suppose 22 + 3 = -5*p. Let t(d) = 4*d. Let l be t(-2). Calculate the common denominator of 33/10 and ((-2)/l)/(p/(-68)).
10
Calculate the common denominator of -4 - ((-162)/16 - -1) and 8/(-12)*(-534)/8.
8
Suppose -2*j + 5 + 3 = 2*r, 2*r + 6 = 5*j. Calculate the least common multiple of 12 and r.
12
Let f = 4217/7952 - -33171401/1455216. Let y = f - 91/61. Calculate the common denominator of y and 119/20.
60
What is the common denominator of -1 - 265/(-120)*-1 and 11/30?
120
What is the smallest common multiple of (18/6)/(1*(-9)/(-60)) and 16?
80
Let o be ((-5)/2460)/(182/2074292). Let h = 6/3731 - o. Find the common denominator of h and -69/14.
42
Let s = 3821/8 - 474. Let n = -3512 - -56129/16. Calculate the common denominator of n and s.
16
Let n(a) = -2*a. Let c(g) = -g**3 - 4*g**2 + 2. What is the smallest common multiple of n(-3) and c(-4)?
6
Let f(l) = l**2 + 10*l + 5. Let s be f(-9). Find the common denominator of 89/10 and ((-31)/s)/((-3)/(-6)).
10
Suppose q - 8 = -q. Suppose -m = -4 + 2. What is the least common multiple of m and ((-4)/(-6))/(q/6)?
2
Let b = 9 + 10. Find the common denominator of (-2)/(-5)*b/(-2) and (-1916)/224 + 8/(-14).
40
Find the common denominator of (-1 + 3)/(32/(-98)) and (16/(-32))/((-8)/(-134)).
8
What is the common denominator of (52/(-55))/((-4)/10) and 79/4?
44
Suppose 18 = 3*a - 3*b - 0, 48 = 3*a + 3*b. What is the smallest common multiple of 7 and a?
77
Let s(q) = q**2 + 4*q - 4. Let b be s(-4). Let v be (b + 7)*(-1 + 4). Let r(n) = -n**2 + 10*n - 1. What is the least common multiple of 8 and r(v)?
8
Suppose -9 = -0*p + 3*p. Let b be p - 0 - (-8 - -2). Calculate the common denominator of (-1)/b + 89/24 and -57/2.
8
Calculate the common denominator of ((-3)/9)/(10/(-6)) and -7/13.
65
Suppose -3*c - 2*u = -115, -c + 0*u + u = -40. Find the common denominator of c and -52/3.
3
Let s = 135/8 + -523/8. Find the common denominator of s and -127/114.
114
Let f = 19 - 12. Let h(g) = -3*g + 2. Let j be h(2). Let l = j + f. What is the lowest common multiple of 7 and l?
21
Let i(d) = d + 6. Let t be i(-3). Suppose -u + t = 2. What is the lowest common multiple of 5 and 3/6*4 - u?
5
What is the common denominator of 69/4 and ((-26)/(-6))/((-130)/(-39))?
20
Let l = -481/160 + -3/32. Calculate the common denominator of l and -99/4.
20
Let v = 5 - 3. Suppose 14 = -v*k - 3*o + 38, o = 0. Find the common denominator of 19/10 and ((-1)/k)/(6/(-747)).
40
Let j = 1/508 + -15505/5588. Calculate the common denominator of (2/16)/(7/(-238)) and j.
44
Suppose 4*i - 19 = -7. Calculate the smallest common multiple of (-1)/2 - 46/(-4) and i/2*22/3.
11
Let q be ((-91425)/30477 - -2) + 1. Let n = 20302460931569363/81272 - 249808801705. Let v = n + q. Find the common denominator of 52/3 and v.
24
Let h be 6/4 + 3/6. Suppose 0 = h*j - 3*n + 4*n + 1, 1 = -5*j - 2*n. What is the least common multiple of 8 and j?
8
Let o = -19542 - -351895/18. Let l = 41 - 475/12. What is the common denominator of l and o?
36
Let z = 17/580 + -8111/4640. What is the common denominator of z and (-75)/48 - 2/8?
32
Calculate the common denominator of -65/38 and 12/18*246/16.
76
Let f be (-5)/(-48)*(-147310)/(-2725). Let o = 2/327 - f. Find the common denominator of o and -40/3.
24
Let a(k) = 1499654*k**2 - 10*k - 4. Let u be a(-7). Let y = -1469332387/20 + u. Let f = y - 16487. Find the common denominator of -1/12 and f.
60
Let o(v) = 3*v - 9. Suppose -5*d = 3*z - 15 - 2, -13 = -2*z - 5*d. Calculate the least common multiple of o(6) and z.
36
Suppose 0 = -2*n + 3*m - 4*m + 80, -22 = -n - 5*m. What is the common denominator of (-12)/n + (-410)/(-63) and 43/5?
45
Let d(c) = -c**2 + 2*c + 1. Calculate the smallest common multiple of d(2) and 26.
26
Let j be 39/(-6 + 3) + 1. Let a = j - -24. Calculate the lowest common multiple of 8 and a.
24
Let a = -3623/780 + 4/65. Let q = -5/181 - -15033/362. Calculate the common denominator of q and a.
12
Suppose -5*k = -4*b - k - 32, -5*k = -5. Let z(u) = u**3 + 6*u**2 - 7*u + 10. What is the least common multiple of z(b) and 9?
90
Let f(x) = 29*x + 1. Let n be f(-2). Let a be 8*1 + 1 + 1. What is the common denominator of 69/22 and 4 + -6 + n/a?
110
Let c be 270/14 - 6/21. Let b = -9 + c. Suppose -91 = -3*a - 5*d, 0*a + 3*d = -2*a + 59. Calculate the smallest common multiple of a and b.
110
Let m(g) = g**2 - 2. Suppose -5*x = 5 - 20. What is the lowest common multiple of 6 and m(x)?
42
What is the least common multiple of 22 and (-34)/(-14) - 33/77?
22
Let l(g) = -g + 6. Let o be l(7). What is the least common multiple of 2/1 + o + 5 and 8?
24
Suppose 248 + 238 = 2*n. Let d = -150 + n. Find the common denominator of -12/7 and 2/(-1) - d/10.
70
Let f = -392 + 4013/10. What is the common denominator of f and 61/6?
30
Calculate the common denominator of -15/8 and (-1)/(-9) + 304/99.
88
What is the common denominator of (-12)/8 - (-89)/20 and 7/8?
40
Calculate the common denominator of 29/18 and 413/20 + 8/(-20).
36
Let c(f) = -8*f - 1. Let b be c(-2). Let u(w) = 3*w - 18. Let l be u(7). Suppose -l = 2*m - b. Calculate the smallest common multiple of m and 12.
12
Let s = -845/6 - -6817/48. Calculate the common denominator of s and -49/96.
96
Suppose 0*w = -3*w + 6. Let t = 4 - w. Find the common denominator of t/(-4) - 380/(-16) and 5/8.
8
Let m = -1890760/48839 + -1/6977. Let h = 429887117/13735428 + -11/