t x = 8047/3830 - 2/1915. What is the common denominator of (-186)/(-30) + 2*-2 and x?
10
Let k = -2099133/88 - -23853. Find the common denominator of -50/77 and k.
616
Let o = -6898642 + 3793607. Let w = 512328593/165 + o. Let a = w + -6/55. Find the common denominator of -5/8 and a.
24
Suppose -4*j - 42 = -6*j. Suppose 3*b - 2*b = j. What is the common denominator of 6/b + 17/112 and 7/10?
80
Suppose 3*g + g + 5*x = 827, 5*g - 4*x = 1085. What is the lowest common multiple of 9 and g?
639
Suppose -247*y = 543*y - 36*y - 2262. Let t = 26 - 17. What is the least common multiple of y and t?
9
Suppose 4*j = 4*d - 16, -3*d - 2*j - 8 = -0*j. Suppose d*x = x - 41. Find the common denominator of -5 + (42/(-168) - (-1 + -2)) and x.
4
Let k = -2278 - -50073/22. Let l = 14917/12 + -1245. Calculate the common denominator of k and l.
132
Let f = -2055 - -4195/2. Find the common denominator of f and 69/10 + 4 + 1.
10
Find the common denominator of 115/616 and 557/(-110) + 900/225.
3080
Suppose 5*s + q - 1279374 = -q, -3*s = 5*q - 767613. Let y be (2/176)/(1710/s). Let h = y - 1/2508. Find the common denominator of h and -51/10.
10
Let z(l) = -l**3 + 25*l**2 + 24*l + 58. What is the smallest common multiple of z(26) and 32/(-80) - 167/(-5)?
66
Suppose 2*h - 4*y = 36 - 8, -25 = -2*h + y. What is the least common multiple of h and 9?
36
Let o = 62 - 57. Suppose -5*x = -o*p + 4*p - 164, 4*x - 133 = -p. What is the lowest common multiple of 24 and x?
264
Let n(k) = k**3 - 6*k**2 - 4*k + 3. Let w be n(7). Let q = 13 - w. Let t = 22 + q. What is the least common multiple of 4 and t?
44
Suppose 3*s - 49 = 2*z + 39, 4*s = -5*z + 148. Calculate the smallest common multiple of 16 and s.
32
Let y = -713138068697/3443 - -207126949. Let x = y - 11/313. Let f = -6234 + 18698/3. Calculate the common denominator of x and f.
33
Let t = -3744 + 3762. What is the smallest common multiple of t and 11 + (2 - 3/3)?
36
Let w = 7251/110 - 658/11. Let a = -3388/3 + 1120. What is the common denominator of a and w?
30
Let c = 8804653838860849/77418 + -113728769007. Let a = 4/3519 - c. Calculate the common denominator of -65/14 and a.
154
Let x = 51 + -254/5. Let o = -1 - 7. Calculate the common denominator of 6/o*144/(-22) and x.
55
Let x = 8/275 + 3213/1100. Find the common denominator of x and 157/90.
180
Let d = -3321 + 1680. Let w = 6469/4 + d. Find the common denominator of w and 25/2.
4
Suppose 4*h + 3*w - 37 = -2, 0 = 3*h + 4*w - 21. What is the lowest common multiple of h and 22/(2*(-1 - -2))?
11
Let n = -1058353/72 + 14699. What is the common denominator of 52/45 and n?
360
Calculate the common denominator of ((-78)/(-20))/(-6 + 5) and (-3801)/98 - 2/(-7).
10
Let s = -14047/5 - -674801/240. Find the common denominator of -43/30 and s.
240
Suppose 83*a - 180 = 73*a. Calculate the smallest common multiple of 2/5 - (-1340)/25 and a.
54
Let z = -3 - -6. Suppose 21*c - 70 = 14*c. Calculate the smallest common multiple of c and z.
30
Suppose -o = 3*x - 1, 0 = -5*o - x - 2*x + 5. Let s be (10/30)/(o/6). Let v = 4 + s. What is the smallest common multiple of 14 and v?
42
Let k(o) = 7*o - 1 + 2 - 2. Suppose 4*a + 3 = 7*a. What is the lowest common multiple of 18 and k(a)?
18
Let p(y) = y**3 - 10*y**2 + 17*y - 2. What is the smallest common multiple of 8 and p(8)?
24
Suppose -k = 3*k. Let w be (0 - 226)/(k - -2). What is the common denominator of -11/14 and 0/(-4) - w/20?
140
Let k = -16 - -4. Let r = -7 - k. What is the common denominator of 49 and r*-1*2/22?
11
Let q = -6 - -7. Let o be (-12)/12 - 0/q. What is the lowest common multiple of (0 - (2 - -9))/o and 5?
55
Let m = -81/64 - 1513/448. Let t be 4/(-14) - (-11)/((-231)/(-5616)). Let x = t - 3811/14. What is the common denominator of m and x?
14
Let v = 41 - 27. Suppose 20*g - 3*i = 18*g + 52, 0 = 3*i. Calculate the least common multiple of g and v.
182
Suppose 619*r - 609*r - 80 = 0. Suppose 341 = 3*p + 4*n - 99, -4*p - 4*n + 584 = 0. What is the smallest common multiple of r and p?
144
Suppose -3*j = p - 14, -2*p = -2*j + 2*p + 28. Suppose -1990 = -159*y + 5006. Calculate the least common multiple of y and j.
132
Let a = 347533/41292 - -2/10323. Calculate the common denominator of -71/117 and a.
468
Suppose 3*m + 4 = -m, p + 1 = -5*m. Let q = -78 - -72. What is the smallest common multiple of 3/q - (230/(-4))/5 and p?
44
Let w = -97 - -113. Suppose 21 = b + 4. Suppose 0 = -5*g + 3*r + 45, 4*r = -b - 3. What is the least common multiple of w and g?
48
Let t be ((-6)/(-8))/((-9)/(-169195)). Let l = 14111 - t. Let d = 11/86 + 2621/688. Calculate the common denominator of d and l.
48
Let m = 37283/4 + -1453811/156. Find the common denominator of m and 46/195.
390
Let x be ((-11)/22 - 21835/(-2))/(-12280). Let z = x + 35/307. What is the common denominator of z and 83/4?
40
Let m(y) = -4*y - 12. Let d be m(12). Calculate the common denominator of (d/250)/(-1 + (-78)/(-70)) and (-143)/(5/((-5)/12)).
60
Suppose 368 = 92*b - 69*b. Calculate the smallest common multiple of 224 and b.
224
Let q = -261 + 313. What is the least common multiple of q and 32?
416
Let r(j) = -j**2 + 18*j + 17. Let n be r(19). What is the common denominator of (23/n*-9)/3 and 44/5?
10
Let z = -803063/792 - -9131/9. What is the common denominator of z and 7/22?
264
Let x(g) be the first derivative of -g**4/4 + 5*g**3/3 + g**2/2 - 4*g - 6. Calculate the least common multiple of x(4) and 2.
16
Let h(y) = y. Let g be h(3). Let a be 4/(-18)*(-156)/g. Let z = a + -733/72. Find the common denominator of 73/14 and z.
56
Let d(j) = -j**2 + 4*j + 12. Let a be d(6). Let z(p) = 0 + 2 - 2*p**3 - 4*p + a*p**3 + 7*p**2 + p**3. What is the smallest common multiple of z(6) and 16?
112
Suppose 19985*o - 19977*o = 32. Let n = 487 + -337. Calculate the smallest common multiple of o and n.
300
Let r = 355 - 311. What is the least common multiple of r and 8?
88
What is the common denominator of 2/4 - (-630)/(-224) and (((-40)/(-216))/(-5))/((-2)/354)?
144
Let x = -4 + 11. Suppose 0 = -13*d - 5 - 8. Let o = x + d. What is the least common multiple of o and 14?
42
Let a = -133 + 1065/8. Calculate the common denominator of a and 67/42.
168
Suppose -h + 229 = 4*o, -2*h - 3*o + 446 = 2*o. Let w be (-18)/(-4)*(-2)/3. Find the common denominator of -109/6 and (-3 - w) + h/18.
6
Calculate the common denominator of ((-3 - -8)/200)/(8/245) and -77/48.
192
Let j(b) = b**3 - 4*b**2 + b + 3. Suppose x + 1 = -d, 2*d - 11 + 1 = x. Suppose 0*m - d*m = -30. Calculate the least common multiple of m and j(4).
70
Let b(z) = -z - 986. Let g be b(0). Calculate the common denominator of -99/16 and 1 + 2 + 4471/g.
464
Suppose 0 = -y - 4*j - 0 + 2, -2*y = -3*j - 15. Find the common denominator of 321/10 + y/15 and -7/29.
58
Let y(f) = 2*f**3 + 3*f**2 + 3*f - 5. Let q(w) = 5*w**3 + 6*w**2 + 6*w - 11. Let z(o) = 3*q(o) - 7*y(o). What is the least common multiple of 30 and z(4)?
30
Suppose -14 = -b + 9. Suppose -5*y + 17 = -b. Calculate the common denominator of -57/5 and (-6)/y + (-221)/(-12).
15
Suppose -12*c + 15*c - 63 = 0. Suppose 4*b - c = 2*n - n, 0 = -n + 3. Suppose -4*i - i + 40 = 0. What is the least common multiple of b and i?
24
Suppose g = 6*g + v + 38, -4*g + 3*v = 38. Find the common denominator of -19/27 and 30/693 + g/28.
297
Let q(o) = 2*o - 12. Let u be q(8). Suppose u*d = -0*z + 5*z + 90, z + 102 = 5*d. What is the smallest common multiple of d and 22?
220
Suppose -2*k + 7424 = 3*x, -2*x = 3*k - 1037 - 3914. Find the common denominator of -79/22 and 44/(-242) + x/(-308).
154
Suppose 23*v - 27*v + 80 = 0. What is the smallest common multiple of 4 and v?
20
Let j = 18 - 12. Suppose j*x - x = -300. Calculate the common denominator of ((-130)/x)/(4/14) and 31/16.
48
What is the smallest common multiple of 405/10*(91/21 + -3) and 6?
54
Let o(x) = x**3 - 2*x**2 + 6*x - 7. Let a be o(2). Let b = a - 0. Calculate the smallest common multiple of b and 6.
30
Let n = -1249 + 1255. What is the least common multiple of 39 and n?
78
Suppose 0 = -2*i - 5*z + 438, 2*z - 1064 = -3*i - 418. Calculate the least common multiple of i and 2.
214
Let z be 17397675/2784760 - 9/(-6). Let a = z + 88/6329. Let s = 1/88 - a. Calculate the common denominator of s and -30.
4
Let i(y) = y**2 - 5*y - 17. Let q(t) 