3116 - q. Find the common denominator of i and 127/54.
270
Let c = 988 - 2999/3. Suppose 0 = 4*u - 11 - 1, -2*p - 5*u = -19. Find the common denominator of 1 - (1 + 7/p) and c.
6
What is the smallest common multiple of 9 and -6*(2/7)/((-72)/42)?
9
Let n be 2*-3*4/(-12). Suppose 6 + n = 4*q. Suppose 0 = q*w - 10, -2*w + 5*w - 14 = u. What is the smallest common multiple of u and 2?
2
Suppose -3*a = 2*u - 72 - 6, -65 = -2*a + 3*u. Calculate the lowest common multiple of 63 and a.
252
Calculate the least common multiple of -8*(-9)/9*(-26)/(-8) and 8.
104
Suppose 2*d + 15 = 7*d. Let z(a) = -a**2 + 2*a + 6. Calculate the lowest common multiple of 6 and z(d).
6
Suppose 6*m - 14 = 10. Suppose m*b - 12 - 4 = 0. Suppose -b*s = -8*s + 40. Calculate the lowest common multiple of 9 and s.
90
Let z(q) = -4*q + 2 + 5*q + 19. Calculate the lowest common multiple of 3 and z(-12).
9
Suppose 2*c - 29 + 7 = 0. Let t(f) = f**3 - 11*f**2 + f + 3. What is the lowest common multiple of 26 and t(c)?
182
Let n = -9517/4 + 2361. Calculate the common denominator of (-2 - (-82)/44)/((-2448)/(-850)) and n.
528
Let p(n) = 130*n**2 - 5*n - 5. Calculate the least common multiple of 6 and p(-1).
390
Calculate the common denominator of -77/6 and (170/24)/(-1) + 6.
12
Suppose -23*k = -22*k + 45. Let q = k - -81. Calculate the least common multiple of q and 18.
36
Suppose 0 = d + 5*o - 12, o + 13 = -0*d + 2*d. Suppose 26 = 2*h + 22. Suppose 12*s = h*s + 30. What is the least common multiple of s and d?
21
Let h be ((-9)/12)/((-2)/(-16)). Let z be h/(-3) - 0 - -10. Calculate the common denominator of (154/4)/(3 - z) and 23/4.
36
Let x = 50 - -22. Suppose t = -2*i, t + i - 2*i - 3 = 0. What is the least common multiple of t and x?
72
Let c = 0 + 5. Suppose c*u = -0*u + 10. What is the lowest common multiple of (-4 - -2) + u - -2 and 9?
18
Let m(v) = -v**3 + 3*v**2 + 5*v + 3. Suppose -65 = -13*t + 8*t. Suppose 5*r - 7 - t = 0. Calculate the lowest common multiple of m(4) and r.
28
Suppose -2450 = 15*l - 10*l. Find the common denominator of (-1 - l/(-8))*12/18 and -47/20.
20
Suppose -5*t + 312 = 2*d, 2*d - d + 4 = 0. Suppose -n + t - 50 = 0. Calculate the least common multiple of n and 127/3 + (-1)/3.
42
Let t(g) = 4*g**2 - 27*g + 45. Calculate the smallest common multiple of t(10) and 100.
700
Let t = 705/124 + -35623/5704. Calculate the common denominator of 64/207 and t.
1656
Let h(l) = l**3 - 8*l**2 + 3. Let i be h(5). Let g = i + 37. Let s = -209/6 - g. What is the common denominator of s and -111/22?
66
Let t be ((-16)/(-168))/(0 + (-14748)/9). Let p = 227988/146251 + t. Calculate the common denominator of p and -29/8.
136
Suppose -q = 13 - 61. Calculate the common denominator of (-12)/q - 146/12 and ((-6)/9)/((-24)/(-254)).
36
Let l(p) = -2*p + 9. Let h be l(8). Let g = h - -8. Find the common denominator of 47/8 and (-6)/(-24)*g/2.
8
Suppose y = -4*d - 101 + 1024, -5*d - 4*y = -1162. What is the lowest common multiple of d and 115?
230
Suppose -2*u + j = -3, -5*u - 4*j + 6 = -4*u. What is the common denominator of u/8 - 102/16 and ((-1)/(-12))/(2/52)?
24
Suppose -1193 + 49 = -22*s. What is the smallest common multiple of 16 and s?
208
Let c be (-1 + (-13)/(-10))*482902/42. Let p = -3446 + c. What is the common denominator of (1/(-6))/(6/45) and p?
20
Let k(m) = 8*m**2 + 6*m - 4. What is the least common multiple of k(1) and 18?
90
Suppose 10*t + 5*t - 1020 = 0. Let a = t + -64. Calculate the least common multiple of 5 and a.
20
Let j = 1382 - 1370. Let l = 42 - 12. What is the smallest common multiple of l and j?
60
Let c be (22659929/12)/(4/12). Let r = c - 90829323/16. Let y = 11845 + r. Calculate the common denominator of y and -23/10.
80
Let s = 4709/546 + -232/21. Calculate the common denominator of s and -25/117.
234
Find the common denominator of (1 - (-543)/168)/((-225)/30) and 49/16.
560
Let u be (-7 - -8) + 8167/2255. Let x = -3/205 - u. What is the common denominator of (2/12)/((-2)/177) and x?
44
Let q = 1596 - 4744/3. What is the common denominator of 175/30 - (1 - 1) and q?
6
Let j = 674/21 - 143/7. What is the common denominator of 8/81 and j?
81
Let g = 353/20 - 69/4. Suppose 2*u + u - 231 = 0. Find the common denominator of g and 338/63 + (-11)/u.
45
Let a = 47372/33 - 1435. Find the common denominator of -7/18 and a.
198
Let j be -6*(9/(-6) + 2). Let y = j + 9. Calculate the lowest common multiple of 16 and y.
48
Let v(r) = 8*r - 6*r**2 - 2*r + 2*r + r**3 - 7. Let u be v(5). What is the common denominator of (-219)/(-8)*u/18 and 37/14?
42
Let g(p) = 146*p**2 - 7*p. Let m be g(-5). Let t = -2701093 + 24343075/9. Let d = t - m. Find the common denominator of d and -109/6.
18
Let b(r) = r**2 - 10*r + 4. Let y be b(11). Suppose 4*o - 51 = 5*v, -3*o + 4*v - y = -6*o. Calculate the smallest common multiple of o and 3.
9
Let j = 64 + -32. Calculate the lowest common multiple of 84 and 1/((-124)/j + 4).
168
Let x = 63604679/260 - 244633. Calculate the common denominator of -107/24 and x.
1560
Let g = -10444/6369 - -2/579. Find the common denominator of g and 21/16.
176
Let h = -18326 + 5351187/292. Let a = h - 5513/2044. Calculate the common denominator of 37/9 and a.
63
Suppose 3*s + q + q = 9, -6 = -2*s + q. Let j(p) = 4*p + 2. Calculate the lowest common multiple of (18/(-5) + s)/(2/(-60)) and j(2).
90
Suppose -4*y = 17*k - 21*k + 48, 4*k + 5*y = 48. What is the lowest common multiple of k and 12?
12
Let w = 41363/396 + -1178/11. What is the common denominator of -95/36 and w?
36
Let u = 25770/16007 - -149061833/26315508. Let n = 10/411 - u. Find the common denominator of 1 + 14079/(-1144) + (-4)/(-22) and n.
8
Let h(x) = 11*x**2. Suppose -11*a + 12 = -9*a + 2*m, 0 = -m + 2. Calculate the lowest common multiple of h(1) and 22/(-4)*(-5 + a + -1).
11
Suppose 6*v - 2*v = 2864. Let x be (-533)/v - (-3)/4. Let o = 9299/1611 + x. Find the common denominator of -117/10 and o.
90
Let f be 10/(-15) - (-28)/6. Suppose 0*p + 22 = 4*i - p, -f*p - 8 = 0. What is the smallest common multiple of -1*(1 + 0 + -2) and i?
5
Let v = 13 - 21. Let m = v - -16. Calculate the lowest common multiple of m and ((-90)/24)/(12/(-32)).
40
Let g = 25109 - 1406175/56. Find the common denominator of 51/35 and g.
280
Suppose 7*o - 3*o = -180. What is the common denominator of -41/2 and o/4 + 44/11?
4
Let w = 10 + -11. Let d = -2733/104 + 210/13. Find the common denominator of d and (w*(-4)/10)/((-40)/(-1525)).
8
Let u = 21 - 16. Suppose -w = 2*t - 40, -u*w = 3*t - 4*t + 31. Find the common denominator of 26/5 and (16/t)/((-4)/(-30)).
35
Let y = 524 + -506. Let m(z) = 8*z - 4. Calculate the least common multiple of y and m(4).
252
What is the common denominator of 53/36 and (-6)/(-68)*(-93)/12?
1224
Let q = -6721 + 80587/12. Let i be (-4243)/((0 + -1)*-4). Let c = 1084 + i. Calculate the common denominator of q and c.
12
Let o be (-2)/((1 - 0)/(-17)). Let q = -21 + o. Calculate the common denominator of q/20 - (-4 + 4) and 91/10.
20
Let k be (-3 + 5)*96898/(-80). Let d = k + 2419. Find the common denominator of 43/16 and d.
80
Let q = -289927/17934 + -1/2989. Let l = 83/58 + -221/580. Calculate the common denominator of l and q.
60
Let c = 343915900763 + -58883904865776209/171216. Let h = c + 2/10701. Find the common denominator of ((-546)/1155)/((-8)/(-30)) and h.
176
Let f = 98251/18 - 5455. Find the common denominator of 4 - -111*(-15)/414 and f.
414
Suppose 6*l - 3*l = 54. Suppose 0 = 4*n + 3*d + 35, 5*d + 0 = -3*n - 29. What is the smallest common multiple of l and (1/(-2))/(2/n)?
18
Suppose -3*l = -6, -3*l = -a - 0*l + 3. What is the least common multiple of 69 and (162/(-24))/a*-4?
69
Let c = -304 - -2451/8. Let t = 59834 - 81314401/1359. Let v = 6389/906 + t. What is the common denominator of c and v?
72
What is the common denominator of 63/44 and 50/(-35) - 18350/(-16520)?
2596
Let j(p) be the first derivative of p**3/3 - 7*p**2/2 - 17*p - 15. Calculate the smallest common multiple of j(11) and 21.
189
Suppose 0 = -2*i - 2, l = 5*l - 3*i - 39. Suppose 10 - l = y. What is the smallest common multiple of 3 and y?
3
Let o = -115 + 119. Calculate the lowest common multiple of ((o - -7) + -3)/2 and 34.
68
Calculate the least common multiple of 22 and (-4)/(-78) + (-60760)/(-7644).
88
Let