*2 - 14*c + 22. Let x be j(14). Suppose x = -8*q - 242. Find the common denominator of -2*1 - 48/(-54) and q.
9
Let n = -9942/2677 + 24042694/4965835. Let g = n + -137/53. Calculate the common denominator of -52/15 and g.
105
Let q(c) = -c - 13. Let l be q(-17). Suppose 15 = l*y + 3. Suppose y*b + 14 = 5*b. What is the smallest common multiple of b and 6?
42
Suppose 7*f - 60 = 10*f. Find the common denominator of ((-4)/f)/(3 - (-720)/(-249)) and -61/5.
45
Let y = -6986758/45 - -155230. Let m = y + 296/9. Find the common denominator of -4 + (-2 - 66/(-7)) and m.
35
Let n(l) = 20*l**2 + 5*l - 7. Let b be n(5). Let r = 177/7 + -271/14. What is the common denominator of 12/(-78) - b/520 and r?
140
Let l be ((-8)/1584*6)/(2/60323). Let b = l + 914. Find the common denominator of 61/5 and b.
330
Suppose -45441 = -75*z - 11384 + 31193. Calculate the least common multiple of z and 174.
870
Calculate the common denominator of -1/369 and 5 + 189/(-42) + 469/(-738).
369
Let s(w) = -7*w**2 - 1018*w - 2428. Calculate the lowest common multiple of (-2)/3*-1*72 and s(-143).
48
Let u = 7 - 4. Calculate the smallest common multiple of (-12)/282 + 850/94 and 9*u*-1*-1.
27
Let c(w) = -w**3 + 13*w**2 - 21*w - 9. Let r be c(11). Suppose r*f + 2*j + 630 = 6*f, 5*f = -5*j + 765. What is the smallest common multiple of 33 and f?
1716
Let z(w) = -w - 43. Let c be z(-30). Let i(o) = -o**2 - 15*o - 17. Calculate the lowest common multiple of i(c) and 6.
18
Let k = -4337/14326 - -5/377. Find the common denominator of k and -37/930.
17670
Let j(y) = -4*y**3 - 4*y**2 - 3*y - 1. Let m be j(-1). Suppose -2*u - 38 = -m*o, -4*u + 3 + 26 = o. Calculate the lowest common multiple of 42 and o.
42
Let x = 999/178 + -1/801. Let n = -260704298 - -412173513062/1581. Let k = 2/527 - n. What is the common denominator of x and k?
18
Let n(m) = m**3 + 6*m**2 - 6*m + 10. Let x be n(-6). Let s = 57 - x. What is the lowest common multiple of 10 and s?
110
Suppose -o + 2*o - 2*f = 16, -4*f + 88 = 4*o. Suppose 53*x - 66 - 93 = 0. What is the least common multiple of o and x?
60
Let c(h) = 29*h**2 + 18*h - 4. Let y be c(-5). Let q = y + -1171/2. Calculate the common denominator of q and -93/200.
200
Calculate the common denominator of (104056/7392 - 14)*2 and 37/66.
462
Let p = -104239351/5460 + 133639/7. Calculate the common denominator of -193/390 and p.
780
Let a(n) = -253*n - 2940. Calculate the lowest common multiple of 400 and a(-12).
2400
Let k = -46682 - -653577/14. Let h = 23835 - 429149/18. Find the common denominator of k and h.
126
Let f = -79 - -143. Let j = -28768 + 28856. Calculate the least common multiple of j and f.
704
Let q be (373504/(-776))/((-90)/2). Let v = -7/1746 - q. Calculate the common denominator of (78/24)/(38/19) and v.
40
Let t be ((-6)/(-4))/(198/(-69)). Let x = t + 753/220. What is the common denominator of -149/30 and x?
30
Let f be -8 - (-48 + (-40)/(-5)). Let i = 20 + -13. Suppose -i*w = -5*w - f. What is the lowest common multiple of 58 and w?
464
Let n = 1/14768 - 324899/44304. Let c = 44014/21 + -2094. Calculate the common denominator of n and c.
21
Let g(d) = d**2 - 149 + 301 + 8*d - 148. Let m be g(-2). Find the common denominator of m/4 - 79/20 and -117/10.
20
Find the common denominator of (51/36 + -2)/((-20)/(-800)*-27) and 5/1161.
3483
Let j = -156 + 166. Suppose -q + 31 + 21 = 3*p, 3*p = 5*q + 64. Suppose 4*x - w - 36 = -6, -p = -2*x - w. What is the lowest common multiple of j and x?
40
Let k = 18593/754 - 60/377. Calculate the common denominator of k and 4/6 - 538/(-120).
20
Let i be ((-4480494)/(-160))/(1/(-3)*-13857). Let n be (-46158)/369520 + (-4)/(-32). Let f = n - i. Find the common denominator of f and -25/14.
112
Let d = -64/6993 - -1/189. Find the common denominator of d and -23/35.
1295
Let y = -807 + 810. What is the lowest common multiple of 416 and 15 + y + -10 + 2?
2080
Let d = 18960 + -18954. Calculate the least common multiple of d and 10743.
21486
Suppose 0 = -4*v, 3*k + v - 61 + 40 = 0. Let h be (3/6)/((-2)/(-220)). What is the lowest common multiple of k and (-2)/3 + h/15?
21
Suppose -283 - 319 = -7*x. Suppose -100 = -29*p + 4*p. Calculate the smallest common multiple of p and x.
172
Let n(q) = 3*q + 37. Let b be n(-20). Let i = -11 - b. Calculate the lowest common multiple of 30/8*i/3 and 24.
120
Let u = -775547/70 - -11079. Find the common denominator of (((-4)/126)/((-2)/(-6)))/((-22)/(-69)) and u.
770
Let h(t) = -t**3 - 15*t**2 - 7*t - 87. Find the common denominator of 4/2531 and h(-15).
2531
Suppose 3*a + 2*a = -5*w + 115, 0 = 3*a - 15. Let f = 45 - 41. What is the lowest common multiple of (f + -5)*0 + (-11)/(-1) and w?
198
Suppose 104*x = 4*g + 105*x - 294, 330 = 5*g - 5*x. Let m = 36 + -12. Calculate the lowest common multiple of g and m.
72
Let v = -4797131/52764 + 1/13191. Let g = 427/6 + v. Find the common denominator of 62*9/24 - 2 and g.
4
Find the common denominator of 926/240 + 15/25 and 5 - (16698/(-180))/23 - 5.
120
Suppose -2*h + 3*o + 35 = -0*o, -5*h + 97 = 2*o. Suppose -17*r - 54 = -h*r. Suppose -11*g + r = -8*g. What is the smallest common multiple of g and 33?
99
Let p(k) = k**2 + 2*k. Let t be p(0). Suppose 5*z - 6*z + 13438 = t. Let h = 188045/14 - z. What is the common denominator of -33/10 and h?
70
What is the common denominator of 3/(-12) - (-1235)/2665 and 27/656?
656
Suppose -3*j - 14 = a - 95, -4*a + 5*j = -375. Suppose -69*z - 17224 = -254*z + 3126. What is the lowest common multiple of a and z?
990
Suppose 3*v - v = 0. Suppose v = -x - 5 + 14. What is the least common multiple of x and ((-6)/8)/(-4 - 217/(-56))?
18
Let b be (-1 - 234) + -3 + 6. Calculate the common denominator of ((-36)/(-48))/(1 - (-205)/b) and -1/23.
207
Suppose 0 = 3*j - 2*c - 4, -4 = 3*j - j - 3*c. Suppose 0 = -u - 3*u + 12, j*q = 5*u - 411. Calculate the common denominator of 1/11 and ((-12)/q)/((-6)/(-243)).
11
Let q = 14245379/138 - 103228. Calculate the common denominator of q and 179/966.
966
Find the common denominator of -131/36 and 5 + (-1190)/(-900) + -5.
180
Let m = -69 + 21. Let p(h) = 21*h + 67. Let n be p(-3). What is the common denominator of 79/2 and n/(m/261) + -1?
4
Suppose -165 = -3*u + 4*u. Let h = -123 - u. What is the smallest common multiple of h and 6?
42
Let v = -2529/83620 + -2/565. Let n = v + 137/222. Calculate the common denominator of n and -19/21.
84
Let v = -7025 - -98457/14. Let a be (-17551)/(-36) + 4/18. Let y = a + -13835/28. What is the common denominator of y and v?
14
Calculate the common denominator of 1/(-8) + (10/25)/((-896)/1085) and 45/176.
704
Let c = 2/17474701 - 48457346497/5452106712. Let w = -3/104 + c. What is the common denominator of w and -47/50?
300
Suppose -4*b + 15 = b. Suppose -2*z - b*z = 3*u - 33, 4*u - 67 = z. Suppose -578*n = -566*n - 336. What is the smallest common multiple of n and u?
112
Let v = -1/65976 + -1368991/725736. Let w(b) = -b**3 - 3*b**2 + 13*b + 9. Let a be w(10). What is the common denominator of (a/1080)/(8/10) and v?
352
Let u be 2547832/36240*(-3)/(-37). Let o = u + -2/5587. What is the common denominator of (-438)/(-20) - (3 - 36/10) and o?
10
Let n be (-9)/15 + (87/(-90) - -4). Let k = 121/60 + n. Find the common denominator of k and -119/24.
120
Let t = 107101/418757 - 142/1321. Find the common denominator of 52/5 and t.
1585
What is the smallest common multiple of 342 and 76*4/((-48)/(-54))?
342
Suppose -12 = 9*r - 48. Suppose -4*h = -4, 0 = z + r*h - 7 - 46. What is the least common multiple of 63 and z?
441
Suppose -27*o + 185 + 139 = 0. Suppose -62 = -u + r, -2*u + r = 3*r - 116. Calculate the smallest common multiple of o and u.
60
Let w(a) = a**2 - 2*a + 3. Let x be 3 - 6 - 8/(-1). Suppose 116 = x*n + 11. What is the smallest common multiple of w(-3) and n?
126
Let t = -10963 - -10979. What is the least common multiple of 852 and t?
3408
Let g(x) = x**3 - x**2 - 3*x + 3. Let q(k) = -k + 12. Suppose 5*i + 10 - 60 = 0. What is the smallest common multiple of g(3) and q(i)?
12
Let o = -12403/1172 - 1/1758. What is the common denominator of o and -91/4?
12
Suppose 2*j + 24 = 5*j. What is the smallest common multiple of (18/4*1600/(-840))/(6/(-21)) and j?
120
Calculate the lowest common multiple of 20/7*(-63)/(-18) and (-16)/(-30 + 14