the common denominator of (-4)/(-14) + (11492/(-210))/17 and -49/15.
15
Let s = 314/9 + -6557/198. Suppose -29 = 3*u + 2*o - 6*o, 2*u - 9 = -3*o. What is the common denominator of (-185)/(-4)*u*(-16)/(-9000) and s?
1650
Let b = 1/299051764 - -6425725250635/727592941812. Let y = b + 3/1622. Let p = -118639/264 - -5007/11. What is the common denominator of p and y?
24
Let p(f) = -2*f**2 + 3*f + 76. What is the lowest common multiple of p(-5) and 597?
6567
Let z be 6 + -5 + 1739/(-1737). Let m be (1/(-3474))/((-5)/368204*-2). Let w = z + m. Calculate the common denominator of 127/6 and w.
30
What is the smallest common multiple of (4 - (-740)/15)*135/6 and 10?
1200
Calculate the common denominator of -41/21 and (7*(-12)/42420)/(-1 - (-574)/550).
8484
Let s = -13023 + 247401/19. Let r = -1838 - -9224/5. What is the common denominator of s and r?
95
Find the common denominator of ((-455)/(-2275))/((-1366)/605 + 2) and -49/442.
2652
Let u(x) = 6*x - 45. Let a = -60 + 99. What is the smallest common multiple of u(15) and a?
585
Let o = -155743/8 + 19463. What is the common denominator of o and 127/4140?
8280
Let w = -18 - -31. Suppose -5*c = 3*s - 165, -3*s - 29 = -2*c + 58. What is the lowest common multiple of w and c?
468
Suppose -2*l = -3 - 37. Let d = 84 + -82. What is the smallest common multiple of 3276/147 + d/(-7) and l?
220
Let c = 511/13 + -6189/130. Find the common denominator of c and (840/(-800))/((-12)/110).
40
Let i be (-1)/(1/17) - (-68 + 64). Let x = i + 63. Calculate the lowest common multiple of x and -3 + 3 + (-2)/(-1).
50
Let i be 0 - 2 - -3 - -1 - -11. Let r(m) = 2*m**2 - 20*m + 9. Let b be r(i). Let g = -65 + b. What is the least common multiple of 8 and g?
88
Suppose 4*m = -c + 470196 + 148439, -3*m + 5*c + 464005 = 0. Let r be (-5)/(m/89106) - 1. Let v = 12/703 + r. What is the common denominator of -53/6 and v?
66
Let h = -994811995/994 + 1000817. Find the common denominator of 31/245 and h.
34790
Let b(t) = 2*t**3 + 20*t**2 - 3*t - 25. Let n be b(-10). Suppose -x + 30 = 28, -x - 23 = -n*q. Calculate the least common multiple of q and 8.
40
Let b = 37 - 17. Let x = -36307/10 - -3634. Find the common denominator of x and -4 + 0 + 226/b.
10
Suppose -55*g - 2199 = -52*g. Let x = 755 + g. What is the least common multiple of x and 136/10 - 2/(-5)?
154
What is the lowest common multiple of (((-1091328)/(-70))/(-14))/((-6)/30) and 696?
5568
What is the common denominator of 49*4/(-8)*17/(-170) and -17/608?
3040
Find the common denominator of 1*((-3052)/378 - -10) and 25/2088.
6264
Let q(a) = a**3 + 10*a**2 + 17*a + 11. Let t be q(-8). Let m(z) = -6*z - t*z + z**2 + 16 - 4. Calculate the smallest common multiple of 10 and m(8).
20
Let o = -2637/8 + 651/2. Let g = 10 + -9. Calculate the common denominator of 2811/126 - g/7 and o.
24
Find the common denominator of -17 + 9 + 8/((-3520)/(-3255)) and -75/92.
2024
Let a = -26890/9 - -2995. Let x = -95 - -26. Find the common denominator of (496/x)/4 - 2/(-3) and a.
207
Let d(i) = -i**2 - 13*i + 69. Let o be d(-17). Let h(z) = 58*z**3 - 3*z**2 + z. What is the lowest common multiple of 104 and h(o)?
728
Let g = 6592969/199184340 + 4/77685. Calculate the common denominator of g and 15/14.
17948
Find the common denominator of 993/(-14490) + 38/(-285) and -71/14.
322
Let s = 305 - 254. What is the common denominator of 34/s*2/(8/46) and (-1)/3 + 62/14?
21
Let v(u) = 4*u - 34. Let x be v(10). Suppose x = 4*g - 26. Suppose 0 = -n - g*n + 189. Calculate the smallest common multiple of n and 15.
105
Suppose 0*v = 3*v - t + 4, 5 = 5*t. Let u(y) = -824*y + 2. Let x be u(v). Let a = x + -3397/4. What is the common denominator of a and -1/9?
36
Let l = 2203/24 + -573/8. What is the common denominator of l and (-12)/32 + 8194/15232?
1344
Suppose 0 = -4*s - 0*s + 12, -4*s + 3 = -3*b. Suppose -3*j - 5 = -22*k + 18*k, -10 = 2*k - 4*j. Calculate the lowest common multiple of k and b.
15
Let l(b) = -b**2 + 25. Let f be l(5). Suppose k - 25 = 5*g, f = -k + g + 39 + 2. Calculate the least common multiple of 60 and k.
180
Let f be 4/(0 - -8)*(1 + 39). Let g = -29 + f. Let w = 13 - g. What is the lowest common multiple of 8 and w?
88
Let t(s) = -2*s + 13. Let m be t(6). Let h be 10261/5 + (-3)/m + -1. Let l = 2037 - h. Calculate the common denominator of 119/6 and l.
30
Let a(t) = -3*t**3 - t**2 + 8*t + 15. Let l be a(-4). Suppose -l = -g - 2*y, -2*y = 3*g + 3*y - 472. What is the smallest common multiple of 10 and g?
1490
Calculate the common denominator of 25450/(-6060)*686/(-360) - 16/2 and 29/14.
152712
Let y = -12657976931/6877674 + 3/764186. Let v = y + 1836. Let c = -76368/50155 + -17/2866. Find the common denominator of c and v.
630
Suppose 4*b + 27 = 5*i, -9*i - 3 = -5*i + 5*b. Suppose 2*a - 185 = -i*a. What is the common denominator of a/18 - (52/12 - 4) and 73/27?
54
Let y be 220/6 - (-10)/((-50)/15). Let d = -1675/42 + y. Calculate the common denominator of d and 3/238.
238
What is the lowest common multiple of (-77)/(14 + (-891)/63) and 154?
1078
Let a(v) = -12*v + 28. Let t be a(-4). Let j = t - 68. Calculate the smallest common multiple of 8 and j.
8
Let s be 9 + -4 + -8 + 3. Suppose -7*t - 53 = -11*t + k, 2*t + 4*k - 4 = s. What is the lowest common multiple of 132 and t?
132
What is the common denominator of 1/(-3) - 91/12 and ((-6004)/(-2736))/(60/(-72))?
60
Let s(i) = 416*i - 57. Let j be s(22). Let g be ((-721)/6)/((-3)/(-227)). Let k = g + j. Calculate the common denominator of k and -11/18.
18
Let m(w) = -w - 6. Let b be m(-3). Find the common denominator of (92/58)/(-2) - -1 and (b + 3 + 34)*22/(-154).
203
Let o(x) = -x**2 - 9*x + 19. Let h be o(-25). Let g = 12 - 3. Calculate the common denominator of -1/46 and h/(-48)*(-12)/g*1.
276
Let g(c) = c**3 - 3*c**2 - 13*c + 11. Let j be g(5). Let w be (13 + 3)*-1 + j. Find the common denominator of (588/54)/(w/6)*3 and -55/6.
30
Let d = -1219 + 1498. What is the lowest common multiple of d and 27?
837
Let r(s) = s**3 + 12*s**2 + 12*s - 23. Let t be r(-11). Let n = t + 42. Suppose 9 + 3 = 2*w. What is the lowest common multiple of n and w?
24
Let u = 29534731/36 + -2462119/3. Let b = 1191/4 + u. Calculate the common denominator of b and 31/39.
234
Let o = 27417343093/18492606 + 2/1027367. Let x(n) = -1489*n**3 - n**2 - n - 1. Let p be x(-1). Let k = o - p. What is the common denominator of -107/42 and k?
126
Suppose 3*w = -h + 35, -4*w = -2 - 2. Calculate the lowest common multiple of 524 and h.
4192
Suppose -2*j - 6*w - 6 = -3*w, 0 = -5*w - 10. Suppose j = -a - 46 + 62. Suppose 19 = 2*x - 25. What is the smallest common multiple of a and x?
176
Suppose c - 11 = -3*p, -15 = -5*c + 2*p + 6. Let y be (-2)/4 - 5/(-2). What is the smallest common multiple of 4726/85 + y/c and 10?
280
Let s be 2*(3*(-5)/(-10) + 3). Let g = 1213 + -8464/7. What is the common denominator of (-90)/120*194/s and g?
42
Let p = 334944 + -180869941/540. Find the common denominator of p and -47/80.
2160
Let q = 2257 + -2029. What is the least common multiple of q and 4?
228
Let w(g) be the second derivative of g**4/6 + 5*g**3/2 + 19*g**2 + 2*g + 46. Calculate the lowest common multiple of 394 and w(-6).
3940
Suppose 0 = -4*y - 2*j + 106, 0*j - j + 77 = 3*y. Let o = -85954 + 86002. What is the least common multiple of o and y?
48
Let j(b) = 25*b**2 + 10*b - 27. Let d be j(-19). Let p = 52733/6 - d. What is the common denominator of 0 - ((-159)/18)/1 and p?
6
Let y = -172 + 182. Calculate the least common multiple of 8/y - (-144)/20 and 2.
8
Let w be 6/4 - (-49679)/(-154). Let x = w + 4535/33. Let f = 198 + x. What is the common denominator of f and 71/16?
48
Let h = -6289/8 + 789. What is the common denominator of (-4)/24*171/570 and h?
40
Let o be -1 + 0/(-3) + (-610069665415)/6700. Let q = -91055179 - o. Let s = 100/67 - q. Calculate the common denominator of s and -39/8.
40
Suppose -17 = -j - 5. Suppose -j*y = -7*y - 40. Find the common denominator of 10/(1/((-5)/y)) and -38.
4
Let x be 115/(-25) - (-2)/(-5). Let k = -3 - x. Calculate the common denominator of -145/18 and k*1 - 55/(-22).
18
Suppose -2*j + 77 - 71 = 0. Suppose j*i - 5*i + 15 = 3*g, 2*g - 5 = -i. Calculate the smallest common multiple of 5 and i.
15
Let t = -349 + 366. Suppose 5*s - 4 = -2*v - 0, 3*v 