 of (12/10)/3 - 8757/1680 and 5/774?
6192
Let t = 4285/2 + -107203/50. Let u = -34569/8 + 4310. Calculate the common denominator of u and t.
200
Let q = 56 + -58. What is the common denominator of q and (-874)/(-154) + (-4)/(-22)?
7
Let u = 75 - 28. Let x = 43 - u. Let k = -4913/618 + 12/103. Find the common denominator of x and k.
6
Let d = -14 - -34. Calculate the least common multiple of d and 10.
20
Suppose -4*i = -6*i + f + 18, -i + 4*f = -2. What is the smallest common multiple of i and 69?
690
Suppose -13*a + 3 = -23. What is the least common multiple of 1252 and a?
1252
Let c = -6/8711 + -722923/130665. What is the common denominator of c and -14/309?
1545
Let j be (-10)/(-55) + (-2435982)/(-308). Let d = j - 7906. Find the common denominator of 61/12 and d.
84
Let c be 1879983/167480 + (3 - 65/25). Let v = 1/8374 - c. Find the common denominator of 43/12 and v.
24
Let p be (-1)/(-3) - 62/6. Let g(q) = 19*q**2 + 5*q - 4. What is the least common multiple of (-24)/p + 4/(-10) and g(1)?
20
Let l = 8624486/1687 + 9597/241. Let u = l + -5144. What is the common denominator of u and 67/9?
63
Let j(s) = 2*s**2 + 10*s - 7. Let l be j(-6). Suppose l = -a - 3*w, -3*a = -2*a + w - 3. What is the smallest common multiple of 2*1 + (6 - 1) and a?
7
Let r(q) = -q**2 - 17*q - 14. Let i be r(-16). Suppose -20 = -i*u + 16. What is the smallest common multiple of u and 10?
90
Let n(t) = -t**3 - 9*t**2 - 37*t - 34. Let o be n(-17). Let z = 29099/10 - o. Let b = -16003/7 - -2291. Find the common denominator of z and b.
70
Suppose 7*y = 57 + 27. Suppose 5*z - 5 = 65. What is the least common multiple of (2 - (-4)/y)*6 and z?
14
Let a = -11 + 9. Let w(s) = -11*s + 84. Calculate the lowest common multiple of w(6) and -3 + (18/a)/(-1).
18
Suppose -4*s = 5*c - 116, -2*c - c + 4*s + 44 = 0. Let j be (3272/c)/((-56)/110). Let z = j + 321. Calculate the common denominator of -127/18 and z.
126
Let d = -37 - -97. What is the least common multiple of 972/(-162)*2*(-3 - -2) and d?
60
Suppose -2*s = -2*t + 16, 10 = t - 4*s - 10. Suppose t*j - 5 = 67. What is the lowest common multiple of 20 and j?
180
Let o = -16 - -10. Let b = 978 - 7841/8. Calculate the common denominator of b and 62/64*o/(-1).
16
Let j = -213 + 225. What is the smallest common multiple of j and 24?
24
Let m = 55/2 - 563/20. Let x = 1556/9 - 30931/180. Find the common denominator of m and x.
20
Let u(n) = 2*n**2 + 12*n + 11. What is the least common multiple of u(-7) and 50?
50
Let p = -29911033393/40765 + 733743. Let y be (-904979)/31*(-1 + 2631/2630). Let j = p - y. Find the common denominator of 7/5 and j.
10
Let v = 474121/30 + -15799. What is the common denominator of -73/54 and v?
270
Let u(i) = i**3 - 25*i**2 + 69*i + 33. What is the lowest common multiple of 27 and u(22)?
297
Let c = 9271/1810 + -4/181. Let s = -2393/16 - -581/4. What is the common denominator of c and s?
80
Let a(q) = -4*q**2 + 90*q - 40. What is the lowest common multiple of a(22) and 10?
20
Let b = 44 + -14. Calculate the least common multiple of (-49)/(-5) + -4 - (-3)/15 and b.
30
Let k = -29/8 + -127/8. Calculate the common denominator of k and (-139)/(-7)*(-14)/(-36).
18
Suppose -5*h = -3*h - 16. Let s(v) = -v**3 + 29*v**2 - 20*v - 213. What is the lowest common multiple of s(28) and h?
88
Suppose 3*s - 2*s - 20 = -3*m, 0 = 3*s - 3*m - 108. Calculate the common denominator of 4/8 - s/(-5) and -1/22.
110
Let w = -17 + 42. Suppose 20*l + 1544 = 424. Let s = l + w. Calculate the common denominator of s and -33/14.
14
Calculate the common denominator of 2/(-42)*-111*4/24 and 169/30.
210
Let z = -107 - -206. Suppose -4*n + 2*w + z = w, 0 = -3*n - 5*w + 80. Calculate the smallest common multiple of ((-22)/5)/((-5)/n) and 20.
220
Let s be (23*(-2 - -1))/(-1). Suppose -13 = -4*b + s. Calculate the smallest common multiple of b and 11.
99
Let p be (-6)/2 - (156/4 - 6). Calculate the common denominator of (-6)/p - 182/48 and -74/3.
24
Let g be (-2)/(-3) - (-32)/(-48). Suppose -3*f + 18 = -g*f. Calculate the smallest common multiple of f and 16.
48
Let i = -1/327 - -28459/3270. What is the common denominator of ((-114)/80)/(-2*4/(-32)) and i?
10
Suppose 3*g + 4*s = 22, -6*g + 3*g = 5*s - 17. Suppose -3*k + g = -16. Let u = -22 - -28. What is the lowest common multiple of k and u?
30
Let w = 1979/2730 - -11/130. Calculate the common denominator of 50/27 and w.
189
Suppose -k - 7 = 5*n, 3*k + 2 + 1 = 3*n. Find the common denominator of 1/3*(-3 - 1) and ((-2)/45)/(n - (-1082)/1090).
18
Suppose -2*p = -0*p - 216. Suppose 0 = -3*l - 4*m + 72, 4*l + m + 161 = 244. What is the smallest common multiple of l and p?
540
Let g = -19183/18480 - -181/210. Calculate the common denominator of -101/96 and g.
1056
Calculate the common denominator of 143/48 and -3*1/6 + (-158)/(-32).
48
Let j = -62 - -174. Let v = -59 + j. What is the lowest common multiple of 7 and v?
371
Let r = -2/336217 + -1676007/853654963. Let j = r + 165115/40624. Calculate the common denominator of j and 7/314.
2512
Suppose 33*l = 27*l + 180. Suppose 2*w - l = 22. Let u = 1 - -3. What is the least common multiple of w and u?
52
Let p(f) = 3*f - 4. Let i(x) = -2*x**2 - 3*x + 2. Let a be i(2). Let h = a + 16. What is the least common multiple of 22 and p(h)?
88
Let h = 16 + -16. Suppose h = 5*l - 0*l + 35. What is the common denominator of 93/2 and l/(-9)*(-114)/4?
6
Let g(h) = -10*h - 1. Let n be g(5). Let x = 16019/14 - 1145. What is the common denominator of x and (-12)/(-8)*(-43)/n?
238
Let c(a) = a**3 - 2*a**2 - 2*a - 2. Suppose 4*i = -2*l + 60, 2*i + 5*l - 5 - 17 = 0. Calculate the smallest common multiple of c(4) and i.
176
Suppose 0 = -s - 1, 3*c - 5*c + 249 = 3*s. What is the lowest common multiple of c and 18?
126
Let p = 1283/42 + -197/6. Let v(i) = i**3 + 6*i**2 - 2*i - 4. Let j be v(-7). What is the common denominator of 12/(-8)*(-58)/j and p?
91
Suppose 5*t + 3*t = 1296. Calculate the lowest common multiple of 12 and t.
324
Suppose -1456 = 193*b - 207*b. What is the least common multiple of b and 104?
104
Let v be (-6)/((-96)/652) - 3/4. What is the common denominator of (7/v)/((-8)/(-60)) and (-1 - 2/(-32)) + -2?
16
Let l be (-5*2)/2 + 2. Let a = 1 + l. What is the smallest common multiple of 18 and (18/27)/(a/(-36))?
36
Let j = 82 + -31. Suppose -33 = -4*a - 5*t, 2*a + a - 33 = -t. What is the least common multiple of j and a?
204
Suppose -2*z + 3*m + 65 = 0, 2*z + 4*m + 6 = 36. Calculate the smallest common multiple of 225 and z.
225
Let q = -433 + 511. What is the least common multiple of 24 and q?
312
Calculate the common denominator of -32/43 and (-9)/(-81) + (-2453)/42570.
430
Find the common denominator of -4 + 6/(-72)*99 and -24/89.
356
Let g(x) = 40*x**2 - x + 1. Let h(r) = r**2 - 11*r + 24. What is the lowest common multiple of h(11) and g(1)?
120
Suppose -4*l + 3*o - 34 = -6*l, 0 = -2*l - 2*o + 32. Let b = l - -6. Calculate the lowest common multiple of b and 14.
140
Suppose 567 = 4*z - 5*f, -49*z = -53*z - f + 597. Calculate the lowest common multiple of 32 and z.
1184
Let k = 11783 + -11777. Let b(l) = l**2 - 2*l + 1. What is the lowest common multiple of b(-3) and k?
48
Let a(o) = -o**2 + 14*o - 17. Let f be a(5). Calculate the common denominator of ((-3)/f)/((-18)/315) and -121/10.
40
Calculate the common denominator of ((-40)/(-42))/(-10)*78 and -46/35.
35
Let t = 64469/302 + 4/151. Let a = 433 + -203. Let h = t - a. What is the common denominator of -10/7 and h?
14
Suppose 2*l - 28 = -24. Suppose l*p + 3*m = 19, 2*p + 11 = 2*m + 35. Calculate the lowest common multiple of 8 and p.
88
Let x(u) = u**2 + 2*u. Let r be x(-4). Suppose -5*z - r = -53. What is the lowest common multiple of z and 708/36 - 21 - (-3)/((-18)/(-32))?
36
Suppose -14*y + 11454 = -558. Find the common denominator of -33/20 and (y/9)/(2 - -2).
60
Suppose 5*n = -5*c + 40, 2*c - 27 + 1 = 3*n. Let h be 15 + -15 + 1*47. Suppose 0 = -7*r + h + 72. Calculate the lowest common multiple of r and c.
170
Let u be (-6)/18 - 20/(-6)*1. Suppose 4 = j + u*y - 5, 5*j - 63 = 3*y. Calculate the smallest common multiple of j and 32.
96
Let f(y) = y**3 + 7*y**2 - 9*y - 6. Let o be f(-7). Let i = o + -55. Calculate the lowest common multiple of 98 and i.
98
Let z be (-9)/(-63)*9/(-2). Let 