20
Let l be (1/127)/(1/(-16)). Let c = l + 5954/889. Let i = -5560 + 61123/11. Calculate the common denominator of i and c.
77
Suppose 7*w + 463 + 342 = 0. Calculate the common denominator of w/(1 - 6)*2/(-20) and 79/2.
10
Let b = 1505/1264 + -1/316. Let x = -22 - -19. Calculate the common denominator of b and 2 + (x - 158/(-40)).
80
Calculate the common denominator of -15/1348 and 20/(-8) - -3 - (-12)/18.
4044
Let i be -2713 - (-3)/(-9)*-3. Let r = 21771/8 + i. Calculate the common denominator of -73/4 and r.
8
Let z = 4709 - 1958887/416. Find the common denominator of -85/104 and z.
416
Suppose d + 20 = 3*d. Suppose 0 = 3*x - 4*m + 1, 0 = -3*x - 4*m - 4 + 11. Calculate the lowest common multiple of d and x.
10
Suppose t = -m - m + 8, 5*m - 20 = 2*t. Calculate the least common multiple of m and 170.
340
Suppose 5*t - 5*j = -5, -5*j = 7*t - 10*t - 9. What is the common denominator of 17/67 and t + 6/(-12) + (-19)/3?
402
Let v(i) = i**2 + 5*i - 11. Let g be v(-7). Suppose g*p - 21 = -3*y, 0 = 4*y + p - 18 - 16. What is the lowest common multiple of y and 4 + -2 - 5/(-1)?
63
Let c = 636 - 1291/2. Find the common denominator of -23/44 and c.
44
Let t = -42131/5912 - -1/739. Calculate the common denominator of t and 101/124.
248
What is the common denominator of -49/12 and 95/(-4)*6/(-120)?
48
What is the common denominator of (-17)/3 + 8/(-20) and -52/5?
15
Calculate the smallest common multiple of 30 and -11 + 13 + 0/(-1).
30
Suppose 35*t - 204 = 496. Calculate the least common multiple of 34 and t.
340
Let x = 10655 + -5750. Suppose x = h - 4*h. Find the common denominator of ((-4)/(-6))/((-100)/h) and 77/10.
10
Let g be ((-4)/(-438))/(54/(-495)). Let s = g + -2/73. What is the common denominator of -16/7 and s?
63
Let c(a) = a**2 - 6*a - 2. Let w be 32 + 5 + 1 + -2. Suppose -2*p - 2*p = -w. What is the smallest common multiple of c(7) and p?
45
Let w be (5 - 261497/14394) + 3. Let v = -1/2399 - w. Calculate the common denominator of 40/9 and v.
18
Suppose -x = -5*a - 24, 5*x - 3*a = 92 + 28. Suppose 0 = -j + x - 2. Calculate the least common multiple of j and 46.
506
Let d(k) = -4*k - 29. Let a be d(-7). Let v(p) = 8*p - 2. What is the least common multiple of v(3) and 7/(a/((1 - -1)*-1))?
154
Suppose 7*j + 23*j = 1020. What is the lowest common multiple of 12 and j?
204
Suppose 57*d - 982 = 614. Calculate the smallest common multiple of d and 12.
84
Let w be (352/55)/(2/(-4180)). Let p = -347823/26 - w. Calculate the common denominator of p and -69/22.
286
Let t = 47245639594280209/74510 + -634084546954. Let i = 2/7451 - t. What is the common denominator of 101/(-20) - (-3 - 2) and i?
20
Let b be (-24)/16*(-8)/6. Suppose -2*h + b*i + 24 - 78 = 0, 3*h + 3*i = -63. Let r = -20 - h. Calculate the smallest common multiple of 8 and r.
8
Suppose 3*a - 55 = 4*m - 187, 5*a = 2*m - 80. What is the smallest common multiple of m and 24?
120
Let l = 806 + -10437/13. Let q = l + -1129/156. Calculate the common denominator of q and 49/20.
60
Calculate the common denominator of 51/22 and (-22)/77 - 18875/(-54670).
1562
Let z = 432970/11 + -39272. Let y = 91 - z. Find the common denominator of -6 and y.
11
Let j = 545 + -497. Calculate the least common multiple of j and 64.
192
Let d = -2/168763 - -478741/433962. Find the common denominator of 37/2 and d.
126
Let m = -16 - -7. Find the common denominator of 2*(-355)/30 - (-6)/m and 21/8.
24
What is the common denominator of 12/7 and 7 - 18/5820*2305?
1358
Let x = -11 + 299. Find the common denominator of (-2)/(-9) + (-1432)/x and -107/18.
36
Let s = -15 - -16. Let u(a) = a + 1. Let r(f) = -2*f + 16. Let z(i) = s*r(i) + 3*u(i). What is the smallest common multiple of 14 and z(-15)?
28
Suppose -320 = 10*b - 20*b. What is the smallest common multiple of b and 40?
160
Let i = 33 + -36. Let s = -1469/3 - -23657/48. What is the common denominator of (-425)/(-18)*i/(-15) and s?
144
Let h(v) = -v**2 + 6*v. Suppose 0 = -6*c + 4*c + 10. Let d be h(c). Suppose 3*i = 3*t + 27, -5*t + t + 27 = d*i. What is the lowest common multiple of i and 3?
21
Let h(x) = -x**2 + 20*x - 43. What is the least common multiple of h(17) and 994?
3976
What is the common denominator of 18/5 and (-3 + (-16)/(-30))/((-4)/6)?
10
Let a = -150 - 14. Find the common denominator of 1*3 + 400/a and 14/9.
369
Let h = 3124 + -51. Let z = -43045/14 + h. Find the common denominator of z and 6/(-15) - 1756/(-440).
154
Suppose 0 = 4*n - 8*n + 4. Let d(l) = -12*l**2 + 2*l - 1. Let f be d(2). What is the common denominator of 2/7 and n/2*(-837)/f?
70
Suppose 187 = -1929*z + 1946*z. Calculate the lowest common multiple of 426 and z.
4686
Let f be 35898/(-8) - (-42)/(-56). Let a = 27077/6 + f. Calculate the common denominator of a and 2/12 + 0 + 1.
6
Let h = -121578317467539933449733/14800 + 8214751185186375561. Let b = h + -4947190873. Let o = b + -12/925. Calculate the common denominator of -5/8 and o.
16
Find the common denominator of -105/76 and -65*(1/(-28) + (-22)/(-77)).
76
Let k = -37 + 31. Calculate the common denominator of k/(-2) + (413/294 - 1) and -56/33.
462
Let j(i) = -i**3 + 6*i**2 + 2*i + 1. Let p be j(5). Let k = p - 30. Calculate the smallest common multiple of 6 and k.
6
Suppose 4*d + 25 = -71. Calculate the common denominator of 100/(-4)*(10/2 - (11 + -7)) and 4/(-6) - (-518)/d.
4
Let h(w) = -w + 2. Let a(u) = 2*u - 4. Let q(n) = 3*a(n) + 5*h(n). Let f be q(4). Suppose 4*b = f*b + 20. Calculate the smallest common multiple of b and 6.
30
Suppose -3*f + 2 + 7 = 0. Suppose -3*x = -5*p - 4*x + 73, -p + 9 = f*x. Calculate the common denominator of -31/12 and (-128)/p + (-9)/54.
60
Suppose -51 + 11 = -2*f + 4*a, f - 44 = -4*a. Calculate the lowest common multiple of f and 154.
308
Suppose 4*m - 3*y = 346, 5*m - 363 = -2*y + 81. Calculate the common denominator of (-6)/33 - (-126)/m and 73/2.
4
Let n be (-9)/(2*1/(-10)). Suppose n*k - 44*k - 27 = 0. Calculate the smallest common multiple of 18 and k.
54
Let o = 36 + -55. Let m = 33 + o. What is the lowest common multiple of m and 16?
112
Let h(y) = -y**2 + 28*y + 102. Calculate the least common multiple of h(22) and 36.
468
Suppose 0 = -f + 19*f + 576. Suppose -4*a + 200 = 3*g - 2*a, -5*a - 10 = 0. Let s = f + g. What is the smallest common multiple of s and 16?
144
Suppose 3*p + 2 - 32 = 0. Suppose l - 3 + 4 = 0. Let k(a) = -3*a**3 - 2*a**2 - a + 1. What is the least common multiple of p and k(l)?
30
Suppose k + 1200 + 32 = -3*j, 2*k + 2*j = -2452. Let d = k - -8538/7. Find the common denominator of 26/7 and d.
7
Suppose u + 11 = -3*a, -3*a - 9 = 4*u + 8. Calculate the common denominator of (a + 2)/((-1)/39) and 2/(-8) - (1956/176 - 7).
11
Suppose 135*h + 140 = 149*h. Let k = -24 + 40. What is the least common multiple of h and k?
80
What is the least common multiple of 220/(-33)*9/(-6) and 22?
110
Suppose 6*j + 22 = -38. Find the common denominator of ((-2)/j)/((-8)/(-35)) and (-4)/(-18) + 524/(-90).
40
Suppose 47 = 5*k - 38. Suppose k = -0*t + t. Find the common denominator of t and -39/5.
5
Suppose 0 = -4*y + 3*h + 24, -2*h = -5*y + 21 + 2. Suppose -y*g + 21 + 0 = 0. Let x(q) = -q**3 + 7*q**2 + 1. Calculate the least common multiple of x(g) and 6.
6
What is the common denominator of 39096/63840 - 6/57 and 13/56?
280
Let l be (4130/(-4))/7*22 - 3. Calculate the common denominator of 25/12 and ((-6)/8)/((-126)/l).
12
Let h(b) = -b**3 - 6*b**2 + 5*b. Let k = 111 - 95. Calculate the smallest common multiple of k and h(-7).
112
Let x(r) = -3*r**3 + 2*r**2 + 2*r + 1. Let l be x(-1). Suppose -v + l*f = -f + 9, 2*v - f = 0. Calculate the smallest common multiple of v and 73.
73
Let u = -42 - -13. Let i = 34 + u. Calculate the least common multiple of i and 3.
15
Let t = -301 + 2431/8. Let m = -3185 - -127407/40. Find the common denominator of m and t.
40
Find the common denominator of (-12)/66 + 1457/(-396) and 131/36.
36
Suppose -28 = -h - 3*h - u, 5*h - 35 = u. Suppose 3*a - 13 = 3*g + 8, g - 23 = -2*a. Calculate the least common multiple of a and h.
70
Calculate the common denominator of -64/9 and 54/(-40) + (-68)/(-17).
180
Let t = 1779/2 + -7041/8. Let i = 5/462 + 16853/924. Find the common denominator of i and t.
8
Let n = 9 - 4. Let h be (-1240)/(-14)*(-2)/n. Let f = -5141/154 - h. Cal