 17/12.
12
Let s = -3452 + 4962. Find the common denominator of (s/(-240))/((-6)/(-8)) and (-6)/((-180)/53) + 1.
90
Let c = 317 - 527. Calculate the common denominator of 51/29 and (2/(-16))/(1 - (-205)/c).
116
Let r = -445627/360202 + 3/9479. Calculate the common denominator of r and ((-28980)/5670)/(2 - 1).
342
Let d(k) = 2*k**3 + 48*k**2 - 103*k + 34. Calculate the least common multiple of d(-26) and 802.
3208
Let f = -766465114030 + 411475263539025523/536848. Let o = f - 2/33553. Calculate the common denominator of 642/72 + (-1 - -2) and o.
48
Let g = -24 + 25. Let c be g*(-2 - (-6)/(-2)). Find the common denominator of (-2)/(-7) - (c - (-548)/154) and -93/20.
220
Let v(w) = -w**3 - w**2 + 2*w - 4. Let g be 27/(-15)*30/(-18). Suppose 7*t - z = 4*t + 13, g*t = -4*z - 7. Calculate the lowest common multiple of t and v(-4).
36
Let k = 1229/51352 + 7/1048. Find the common denominator of -57/14 and k.
98
Let q = -31 + 49. Let p = -52 + 58. Suppose 4*r + p*f - 10*f = 48, -4*r = 4*f - 48. Calculate the lowest common multiple of r and q.
36
Let v(b) = -b**2 - b + 15. Let a be v(0). Suppose 7*p + a - 211 = 0. Calculate the smallest common multiple of 8 and p.
56
Suppose -7*u + 18*u - 781 = 0. Calculate the smallest common multiple of u and (-1 + -3 - -6) + 3.
355
Suppose -191 = -x + 4*o, -54*x - 3*o = -59*x + 785. Let u = 3 - 2. What is the least common multiple of x and u?
151
Suppose -m - 2*b = -24, -3*b - 13 - 127 = -4*m. Calculate the smallest common multiple of m and 440.
1760
Let a = -13/959 + 39787/34524. Find the common denominator of -31/3628 and a.
32652
Suppose 10*k - 24 = 5*k - 3*u, u + 6 = 3*k. Suppose t + 2*f = -4 + 8, k*t = -f + 27. What is the lowest common multiple of 18 and t?
90
Suppose -79*y + 61*y + 216 = 0. What is the lowest common multiple of (-7)/(-9) + y/54 and 49?
49
Let s = 65/24 - -233/72. Suppose -4*u - 71 = -2*h + 455, 2*h - 655 = 5*u. What is the common denominator of s and ((-3)/12)/((-6)/u)?
72
What is the least common multiple of 44 + -1 + (-23 - -7) + 20 and 2068?
2068
Suppose b = -5*l + 3*b + 55, 0 = 3*b. What is the smallest common multiple of l and ((-10)/(-2))/((-1012)/(-18216))?
990
Let a = 144952 + -603870035/4166. Let g = a - -114583/24996. Calculate the common denominator of -27/16 and g.
48
Let o = -391 + 412. What is the lowest common multiple of o and 1*53*(-222)/(-74)?
1113
Let y = -15967/76600 + -14/383. What is the common denominator of -31/44 and y?
2200
Let n = 4841/4515 + -142/129. Calculate the common denominator of n and -13/55.
385
Let i(v) = 2*v**2 - 156*v - 1822. Calculate the smallest common multiple of i(-14) and 12.
4524
Let h be (60/(-21))/((-92)/28 + 3). Suppose h = -6*z + 3*z - d, 5*d - 10 = 5*z. Calculate the common denominator of -35 and (z/1 - (-396)/40) + -3.
10
Let c(k) = -k**2 + 13*k - 30. Let d be c(4). Suppose -r + 42 = 4*z, -4*z + d*z = 3*r - 70. Let p(t) = -t + 22. What is the lowest common multiple of r and p(0)?
286
Calculate the common denominator of -95/212 and ((-5)/(-106))/((-9)/14).
1908
Suppose 82*m = 628 + 1996. Suppose b - 3*b + 112 = 0. What is the lowest common multiple of b and m?
224
Let q = 1193879/53457 - 2/17819. Find the common denominator of 133/4602 and q.
4602
Let p = -21415121/1880 - -11391. Find the common denominator of p and -23/2632.
13160
Let c = 112171/52 - 2158. Let u = 158207/3770 - 1194/29. Find the common denominator of c and u.
260
Let s(n) = -2*n**2 - 2*n + 4. Let z be s(0). Let k(m) = 8*m - 30. What is the lowest common multiple of (0 - -15) + -7 + 3 and k(z)?
22
Let m be 108/18*(-2)/6. Find the common denominator of ((-4)/(-80)*m)/((-2)/236) and 31/32.
160
Let w = -129 - -75. Let j = -54 - w. Find the common denominator of j - ((-676)/(-72) + -1) and 89/22.
198
Let x be (-17020)/(-24)*5598/300. Let b = -13236 + x. What is the common denominator of b and ((-17)/68)/(1/142)?
20
Let q(p) = 464*p - 3702. Suppose 2*h - 3*h + 2*z + 22 = 0, -16 = -h + 4*z. Calculate the smallest common multiple of h and q(8).
140
Let d(w) = -2*w - 3. Let x be d(-5). Let c be (18/x - 3) + (-372)/14. Calculate the common denominator of (3/(-4))/(c/(-159)) and 139/6.
12
Suppose 4 = -3*q - q - 4*i, -4*q + 3*i + 31 = 0. Suppose l = 36 - 6. Calculate the smallest common multiple of q and l.
60
Let s = 7 + 3. Let d(t) = -t**3 + 5*t**2 - t + 8. Suppose -2*v + 8*v - 30 = 0. What is the least common multiple of d(v) and s?
30
Let q = -176 - -155. What is the lowest common multiple of (q/140*12)/((-1)/5) and 33?
99
Suppose 13*y + 12 = 15*y. Calculate the lowest common multiple of 1/(-2)*(-24 - 2) and y.
78
Let v(g) = -7*g**2 + 123*g - 34. Calculate the lowest common multiple of v(12) and 186.
1302
Let i be 2/9*24*(-135)/(-6). Let c = i - 110. Calculate the smallest common multiple of c and (-2)/(-3)*15 + 1.
110
Suppose -4*d - 20 = -9*d. What is the lowest common multiple of 398 and 126/(-6)*d/(-6)?
2786
Let n = 194 - 59. Let r(w) = 28*w**2 - 317*w - 315. What is the least common multiple of r(-1) and n?
270
What is the common denominator of (-5 - -10) + -5 - (-6)/(29928/202) and -121/516?
14964
Let x be 76/(-19) - 1/(2/88). Let m = x - -74. Calculate the smallest common multiple of 2 and m.
26
Calculate the least common multiple of 6201 and (-7)/30*-52 + (-22)/165.
24804
Let a = -33797312279/48 + 704142072. Let k = -31401 + a. Find the common denominator of 25/66 and k.
528
Calculate the common denominator of 74/231 and (-204)/(-187) - (-1842)/(-1764).
3234
Suppose 53*p - 5091 - 792 = 0. Suppose 0*n + p = 5*n - o, 0 = 3*n - o - 67. Calculate the least common multiple of 80 and n.
880
Let q(m) = 4*m**2 + 30*m - 1. Let i be q(-8). Suppose -18*y + i*y = -81. What is the lowest common multiple of 36 and y?
108
Let g(y) = -60*y - 44. Let f(p) = 2*p + 1. Let z(h) = 56*f(h) + 2*g(h). Calculate the smallest common multiple of z(-7) and 42.
168
Let u(c) be the second derivative of c**4/12 + 8*c**3/3 + 12*c**2 + 2*c. Let h = 23 + -17. Calculate the smallest common multiple of h and u(-15).
18
Let a(q) = 16*q + 23. Let w be a(4). Find the common denominator of -2 + 375/306 + 116/w and ((-2)/6)/((-4)/390).
34
Suppose 31*m - 26*m = 8730. Let t = m - 870. Let p = -2570/3 + t. Find the common denominator of -35/8 and p.
24
Let x = -4412/3 - -8921/6. Let h = -125/7 + x. Calculate the common denominator of h and (-56)/(-6) - 1/(-4).
84
Let p(l) = -l**3 + 47*l**2 - 44*l + 56. Let z be p(46). What is the common denominator of 111/z*(-118)/(-30) + 2 and -37/20?
20
Suppose 0 = 3*c + c - 44. Let u be (30/12)/5*8/1. Suppose u = 2*t - 0. What is the least common multiple of c and t?
22
Let f be (2 + -3)*-1 + 10. Let j = 85/8 - f. Let o = -989/564 - -8/47. Find the common denominator of o and j.
24
Suppose -3*r + 51*r = -6*r + 864. Calculate the least common multiple of 6 and r.
48
Let l be (-2)/(-11) - (0 + (-252)/66). Calculate the least common multiple of 12 and (-9158)/(-171) - l/(-9).
108
Let h(k) be the third derivative of -k**6/120 - k**5/30 + 11*k**4/12 - 2*k**3/3 + 4*k**2 + 3. What is the lowest common multiple of 40 and h(-6)?
40
Let b be 389/3*(-2)/4. Let q = -70 - b. Let w = -10855 - -75949/7. Calculate the common denominator of w and q.
42
Suppose 130 = 7*a - 2*x, -a - 3*x = -41 + 29. Calculate the least common multiple of a and 22.
198
Let k be (75738/15150 - 7) + 2. Let l = k + -204481/55550. Calculate the common denominator of l and 46/77.
154
Let s = -182 - -194. Let x(v) = -v**3 + 7*v**2 + 25*v - 42. Calculate the smallest common multiple of x(9) and s.
84
Let y = 2833 - 1429. Suppose 11*x + 7*x = y. What is the least common multiple of x and 78?
78
Let a(z) = 1383*z + 7265. What is the least common multiple of 1260 and a(-5)?
6300
Let d(a) = -1532*a - 237455. Calculate the least common multiple of d(-155) and -131*(-1 + (-3 - -2)).
1310
Let l = 25272 + -21501. What is the least common multiple of l and 4609?
41481
Suppose -4*n - 14360 = -14536. What is the smallest common multiple of 3 and n?
132
Let j be (-1)/((-12072)/(-134470)) - -2. Let q = -170881 - -85953171/503. Let w = j + q. Calculate the common denominator of 61/20 and w.
60
Let x be 399/(-57) - (-1 - 9). Find the common denominator of 59/12 and x - (-6)/(-37440)*18604.
1560
Let g = -5718/11 - -154870/297. What is t