6/747395 + -2/13589. Calculate the common denominator of 1/4 - (-12)/(-2) and t.
220
Suppose 3*s + 4*w = 108, 5323*s + 4*w + 228 = 5327*s. Suppose -n + 0*n + 3*m + 32 = 0, 5*m = 3*n - 96. What is the least common multiple of s and n?
96
Find the common denominator of -6 - (-14637)/1200 - 6 and 12/25.
400
Suppose y = -2*n + 400, -n - 679 = -3*y + 493. Suppose -424 + y = -4*d. Calculate the least common multiple of 4 and d.
8
Let h(a) = -27*a - 17. Let p be h(23). Find the common denominator of 149/30 and p/(-168) - (57/12 - 5).
210
Let a = -761 - -781. What is the lowest common multiple of 4/14 - 276/(-14) and a?
20
Let s = 2057 - 1707. Calculate the least common multiple of s and 300.
2100
Let p = 7 - 19. What is the lowest common multiple of 2 and -27*(-4 + (-32)/p)?
36
Let l = -5 - 79/2. Let m = -1799/2 - -949. Find the common denominator of l and m.
2
Let d = -228 + 236. Calculate the least common multiple of d and 20.
40
Calculate the least common multiple of -2 - (116/203 - (-666)/(-14)) and 120.
360
Let f = -54 - -57. Let d(x) = x. What is the lowest common multiple of d(8) and f?
24
Suppose 11*p - 7*p - 2*j = 138, -j + 3 = 0. What is the lowest common multiple of 52 and p?
468
Let a(x) = 2*x**2 - 47*x + 31. What is the lowest common multiple of a(23) and 92?
184
Let h(l) = -l**3 + 5*l**2 - 6*l + 6. Let d be h(4). Calculate the common denominator of 109/22 and ((-24)/54)/d - (-790)/36.
66
Let j = 10667/41460 + 18/691. Find the common denominator of j and -149/30.
60
Suppose -192 = 22*a - 6*a. Calculate the smallest common multiple of 2 and a/(-3)*-1 - (-348)/2.
170
Let x be 2*1*3/(-3). Let n(r) = r**3 + 11*r**2 + 31*r + 24. What is the least common multiple of n(-7) and 30/12 - x/(-4)?
6
Let o(b) = 2*b**2 - 3*b + 2. Let q be o(3). Suppose -5*m + q*m = 132. Let f = m + -17. What is the lowest common multiple of 11 and f?
55
Let v be 1*(-4 + -573)*(-42)/3. Let f = v - 80681/10. What is the common denominator of f and 50/3?
30
What is the smallest common multiple of 10 and (-8)/(-28) - (-6372)/42?
760
Let i = 14 + -6. What is the common denominator of 46/(-30)*(13 + -8 - i) and -41/7?
35
Calculate the lowest common multiple of 15 and 11/((11/(-3) - -3)/(-2)).
165
Let b = 78685/47592 - -18/661. Calculate the common denominator of -67/40 and b.
360
Suppose -2*c = -5*u - 115, -8*c - c - u + 541 = 0. What is the lowest common multiple of 88 and c?
1320
Suppose 11*q - 63 = -30. Suppose 0 = -k - 3*h - 8, -4*k + 3*h + h = -32. What is the least common multiple of k/(-14) + (-237)/(-21) and q?
33
Suppose -2*j = -5*b + 9, 0 = -j - b - 5 + 4. Calculate the smallest common multiple of 6 and (-6 - j) + (9 - 3).
6
Let j(r) = 49 - 87 + 48 + 6*r - r**2. Suppose -3*f = -4*f + 7. What is the least common multiple of 5 and j(f)?
15
Let n = -4 + 6. Let b = n + 7. Let u(i) = i**2 - 3. What is the smallest common multiple of b and u(3)?
18
Suppose 0 = 3*t - 2*t + 213. Find the common denominator of t/(-54) - (-3 + -1) and 69/20.
180
Let q = -1890327/65 + 29083. Find the common denominator of -47/91 and q.
455
Calculate the common denominator of 435/84 + 119/(-17) and 25/32.
224
Let p be ((-402260)/32 - -3)*(-2)/(-4). Let i = p + 6279. What is the common denominator of -59/22 and i?
176
Suppose 0*d = 3*d + 24720. Let w = d - -82501/10. Find the common denominator of w and 79/14.
70
Suppose 2*w - 41 = 3*f + 16, 0 = w - 5*f - 25. What is the lowest common multiple of 30 and w?
30
Suppose -81*f + 486 = -54*f. What is the smallest common multiple of 108 and f?
108
Let b = -3/67049 - 4894280/6637851. What is the common denominator of 35/27 and b?
297
Let s = 809 - 391. What is the smallest common multiple of s and 152?
1672
Let s = 119 + -79. Suppose 4*v = 69 - 5. What is the lowest common multiple of v and s?
80
Let v = -15899/4031325 + 4/3933. Let q = -70737/4100 - v. Find the common denominator of q and 37.
4
Let n be 9/24*(-34)/(-18). Let b = 4/3 - n. Find the common denominator of 76/(-40) + ((-12)/(-2))/3 and b.
40
Let q be (-178)/(-6) + (-12)/18. Suppose -57 = -2*x - x + 3*d, d = -2*x + q. Calculate the smallest common multiple of x and -2 - 14/(3 + -4).
48
What is the common denominator of -41/63 and 21/(-3) - 696/(-140)?
315
Suppose 6*l - 183 = 27. What is the least common multiple of l and 165?
1155
Let a = -7604 + 4147. Let k = a - -44920/13. Calculate the common denominator of k and -57/5.
65
Suppose 94 - 6 = g. Calculate the smallest common multiple of 10 and (-3)/((84/g)/(-7)).
110
What is the smallest common multiple of 11 and 4/22 - 500/(-275)?
22
Let s(t) = t**3 - 6*t**2 + 7*t - 2. Suppose -n - 23 = -4*z - 3, -2*n + 3*z - 15 = 0. Let f = 12 + n. What is the lowest common multiple of s(5) and f?
24
Let k = -233429/528 + 4834/11. What is the common denominator of -97/112 and k?
336
Let q(y) = y**2 + y - 20. Let c be q(4). Suppose c = 2*o + 4*o - 96. What is the least common multiple of o and 14?
112
Suppose -g = -3*g - 2*k + 4, 5*g + 3*k - 16 = 0. What is the smallest common multiple of 2 and (17/(-2))/(g/(-30))?
102
Let r(z) = z - 6. Suppose 3 = -t + j + 12, 3*t - 2 = -2*j. Calculate the least common multiple of r(8) and t.
4
Calculate the lowest common multiple of 18 and (1/2)/(32/4032).
126
Let m = 3144 + -2744. What is the smallest common multiple of m and 200?
400
Let k = 92038919516201893/55180 + -1667976069582. Let j = 1/11036 - k. Let h = j - 363/5. Calculate the common denominator of h and 47/6.
30
Let w = -2811/5 - -11181/20. Calculate the common denominator of 3/10*249/(-36) and w.
40
Suppose -1699*z + 1706*z - 2380 = 0. Calculate the least common multiple of z and 40.
680
Suppose r = 2 + 3. Suppose 0 = p - 2*p - 4*h - 20, 4*p + 25 = -5*h. Suppose n + x = 3, p*n - 4*n = x - 21. What is the lowest common multiple of n and r?
30
Let y = -664 - -744. What is the smallest common multiple of 140 and y?
560
Let g = 14492 - 260789/18. Suppose 5*u + n - 34 = 0, -5*u + 15 - 1 = -4*n. Find the common denominator of (-4 + u)/(9*4/11) and g.
18
Suppose -121 + 9 = -4*z. Calculate the smallest common multiple of z and 42.
84
Let p = 5/1037 - 59209/20740. Let l = -13820712091 - -87042844487747/6298. Let j = 2/3149 + l. What is the common denominator of p and j?
20
Let j(z) = 6*z + 5. Let u be j(-9). Let p = -47 - u. What is the least common multiple of p and 7?
14
Let r(o) = 3*o**2 + 33*o + 27. What is the lowest common multiple of r(-12) and 3?
63
Suppose -3 = -z + 5. Let i = -3 + z. Let t = -61 + 62. Calculate the lowest common multiple of i and t.
5
Let c = 140760818/789 - 178404. Calculate the common denominator of 125/6 and c.
1578
Let n = 92 - 89. Let w be 15/(-4)*(-160)/12. Calculate the common denominator of (n/3)/(w/305) and -5/8.
40
Let q = -30 + 32. Let b(z) = -29 + z**q + 31 - z**3 + 5*z**2. Calculate the smallest common multiple of b(6) and 10.
10
Suppose 3*m = -m - 5576. Find the common denominator of 51/7 and 10/(-8)*m/(-255).
42
Let h be -3 - (-2 - 6 - -3). Suppose h*g - d - 5 = 9, 5*g - 5*d - 30 = 0. Calculate the lowest common multiple of 16 and g.
16
What is the common denominator of (6/4 - 2) + (-23 + 37 - 30) and 1/2 - (-42)/16?
8
Let l = 18/517 + -18527/12408. Calculate the common denominator of 73/144 and l.
144
Let q = 3307165919 - 114011237717603/34474. Let v = q - 3/1567. What is the common denominator of v and (-4)/(-12) + (-226)/(-36)?
198
Let r(f) = -2*f + 6. Let s be r(-1). Let t(l) = l**3 - 7*l**2 - 6*l - 8. Calculate the smallest common multiple of t(s) and 8.
8
Let h = -897/4 - -2911/12. Find the common denominator of 77/76 and h.
228
Let l = -15178/3135 - -220/57. What is the common denominator of 45/44 and l?
220
Let n(y) = -2344*y + 10. Let b be n(-1). What is the common denominator of (1/24)/(33/b) and 63/20?
180
Let r = -173 + 113. Let c = r + 64. Suppose -3*f - 8 = l - 7*f, 5*l - 4*f = 8. What is the lowest common multiple of c and l?
4
Let k(p) = p**3 - 8*p**2 - 8. Let y be k(8). Suppose 10*j - 26 = 9*j. Let w = j + y. What is the smallest common multiple of w and 22?
198
Let p = -72599923/290 - -250345. What is the common denominator of p and 103/232?
1160
Let r(k) = k**3 + 18*k**2 - k - 13. Let g be r(-18). Suppose -u + 136 = -3*i + 3*u, g*u - 220 = 5*i. Find the common denominator of i and 5/22.
22
Suppose -g