0
Let u = 287771229/1216 - 236654. Find the common denominator of 89/216 and u.
32832
Find the common denominator of -20/7 and 210/20*44/(-4202).
1337
Let i(b) = -2*b - 2*b**3 - 5*b**3 - 31 + 10*b**3 + 24*b**2 - 2*b**3. Calculate the common denominator of (-4)/6 - (-28)/33 and i(-24).
11
Suppose 4*y - 5348 = y + 17*s, 4*y - 5*s = 7113. What is the least common multiple of y and 10?
17770
Let n = 70799/4212 + -605/36. Calculate the common denominator of n and 103/12.
4212
Let h = -614 + 1179/2. Calculate the common denominator of (925/(-111))/((-128)/72) and h.
16
Let j = 218 - 1779/8. Let c = j + -81/8. What is the common denominator of c and 138/16 + -1 + -1?
8
Let b = -32998 + 8315459/252. Calculate the common denominator of b and 83/42.
252
Let c = 551/6 + -741/8. Let i = -111/5 - -1021/30. Find the common denominator of i and c.
24
Let x = -332951/12 - -27740. Let z = -7663 - -214657/28. Find the common denominator of x and z.
84
Suppose 25364*r - 25357*r = 2100. What is the lowest common multiple of 33 and r?
3300
Let v = -36 - -66. Suppose 5*a = 2*c - 122, a + c + 8 = -15. Let g = a - -32. Calculate the smallest common multiple of g and v.
120
Suppose -9*l + 3065 = 635. Suppose -25*u = -20*u - 70. What is the lowest common multiple of l and u?
1890
Let h = 2/1823 - -56487/23699. What is the common denominator of h and 53/13?
13
Let j = 689/3420 + -56/855. What is the common denominator of 65/6 and j?
228
Let m = 5312 + -260264/49. Calculate the common denominator of 16/371 and m.
2597
Suppose 50 = 4*a - 3*a. Let j(v) be the third derivative of v**4/24 + 7*v**3/2 + 40*v**2. Calculate the lowest common multiple of a and j(-3).
450
Let q(l) = -2*l - 48. Let f be q(-15). Let g be (2 + -4663)/(9/f). Let m = -223691/24 + g. What is the common denominator of m and -47/4?
24
Let r(k) = 2*k**2 - 47*k + 2. Let z be r(24). Let p = z - -22. Suppose -3*l - l = -p. Calculate the smallest common multiple of 15 and l.
60
Let j(m) = -3*m - 15. Let a be j(-6). Let l be 15 + 0 + a + -4. Suppose -b + l*b = 91. Calculate the lowest common multiple of b and 1.
7
Suppose 5*l + 3*j - 33025 = 0, 0 = -70*l + 73*l + j - 19815. What is the smallest common multiple of 7 and l?
46235
Let o = 817 - 772. What is the smallest common multiple of 1605 and o?
4815
Let v = 97630/657 - 1339/9. What is the common denominator of -13/438 and v?
438
Let q = 17385420097163/1106116 - 361503387/23. Let n = q + 11/1093. Calculate the common denominator of 19/3 and n.
132
Let f = 20897 - 1086557/52. Let v = 251/11 + -3407/198. Find the common denominator of v and f.
468
Suppose -3*n - 8 = 112. Let h be ((-8)/20)/(1/(-10)). Let f = h - n. Calculate the common denominator of -8 and f.
1
Calculate the common denominator of (-3)/(-9)*116*8/544 and 0 + -1 + 106/45.
765
Let s = 0 - -4. Let j be 15/5 + (-3)/3. Suppose 0 = -2*l - 4, s*u = -l - j*l + 50. What is the lowest common multiple of u and 22?
154
Let s(q) = q**2 + 18*q - 1. Let v be s(-14). Let j be -64 + 3/(6/10). Let r = v - j. What is the smallest common multiple of r and 12?
12
Suppose 7*y - 105 = 2*y. Suppose 18*k - y*k + 108 = 0. Let q = 56 - k. Calculate the lowest common multiple of 20 and q.
20
Suppose 0 = -4*p + 20 - 8. Suppose 12*i + 1740 = -p*i. Let w = i - -134. What is the lowest common multiple of w and 34?
306
Let q(z) = -4*z - 13. Let i be q(-4). Suppose -341 = -5*n + 3*l, l - 211 = -i*n + 6*l. What is the smallest common multiple of n and 1/(-9) - 448/(-63)?
469
Let x(d) = -11*d - 87. Suppose -37*s + 42*s + 5*l + 65 = 0, s - 3*l - 7 = 0. What is the smallest common multiple of x(s) and 39?
39
Let b = -1241674/5 + 4354682/15. Let i = -40071 + b. Let v = 1931 - i. What is the common denominator of v and 41/18?
18
Let w be (10/4)/(-2 - 146/(-72)). Suppose -w = 7*m - m. Let u(c) = c**2 + 10*c - 72. Calculate the lowest common multiple of 1 and u(m).
3
Let k = -14316/7 + 2053. Let x = 36 - 33. Find the common denominator of (15/24)/((-1)/5) + x and k.
56
Let r(x) = 23*x**2 - 11*x + 110. Calculate the least common multiple of r(7) and 2320.
2320
Suppose 4*b = -2*u + 48, -2*u = -b + 3*b - 38. What is the least common multiple of 105 and (77/u)/(-11)*(-16 - 4)?
210
Let x(c) = -2*c**2 - 22*c - 54. Let b be x(-12). Calculate the common denominator of ((-2)/b)/((-4)/(-64))*6 and 25/6.
78
Calculate the common denominator of (3/3366)/(9 + 61/9) and -13/6.
159324
Let g = -85 - -66. Let n be 3/(-1) - g/(-28). Let j = n + -144/7. Calculate the common denominator of -99/8 and j.
8
Suppose 4*w + 59782*f - 59778*f - 144 = 0, -2*w + 2*f = -32. Suppose 0*q - q + 30 = 0. What is the lowest common multiple of w and q?
390
Let f(c) = -c + 1. Let z be f(-8). Calculate the least common multiple of 4/6 - (49 + -29)*(-4)/15 and (1 - 4)/((-3)/z).
18
Let p(v) = 2*v**2 - 45*v + 96. Let d be p(20). Calculate the least common multiple of 4*((-23)/d - 2) and 132.
660
Let b = -2360 + 2375. Calculate the smallest common multiple of b and 84.
420
Let l = 93/8 + -47/4. Let d be (6/20)/(0 - (-108)/435). Let v = d - l. Find the common denominator of 4/11 and v.
33
Let q be (-3)/(4 - (3 + (-20)/(-8))). Suppose -5*g + 16 = -o - 9, 8 = 3*g - q*o. Calculate the lowest common multiple of g and 8.
24
Suppose 10*m - 7*m = -5*q + 201, 3*m - 33 = -q. Calculate the smallest common multiple of q and 42.
42
Let h = 29975/6 - 4981. Let g be (-13)/((-91)/(-111762)) - (0 - -6). Let a = -335351/21 - g. Calculate the common denominator of h and a.
42
Let l = -27 - -21. Let o(r) = 21*r**2 - 10*r - 13. Let k be o(l). Calculate the common denominator of 27/44 and k/154 - ((-6)/4 - -1).
308
Let z = -16111/820 - 21/205. What is the common denominator of -59/2122 and z?
4244
Suppose -1555*o = -1590*o + 54250. Calculate the lowest common multiple of o and 75.
4650
Let o = -5633 - -5773. What is the smallest common multiple of o and 3136?
15680
Suppose 2*y - 151 = 5*m - 0*y, -5*m = 2*y + 139. What is the least common multiple of 16 and (-10)/40 - m/4?
112
Let s = 518427/2027720 - 829/3110. Find the common denominator of s and -89/16.
13040
Let b(a) = 27*a**3 - a**2 + 2*a - 1. Suppose 485*r - 24717 = 232*r + 6*r - 502*r. What is the smallest common multiple of b(1) and r?
297
Let n = 14321/35190 - 11/414. What is the common denominator of n and -17/445?
22695
Let y(v) = 95*v + 10447. Calculate the lowest common multiple of y(-86) and 6.
4554
Let f(d) = -2*d**2 + 20*d + 41. Let x be f(12). Let q(s) = -s**3 - 6*s**2 - 10*s - 47. Calculate the least common multiple of 32 and q(x).
288
Let y be 9/(1 + -6 + 36). Let v = -2467/62 + y. What is the common denominator of -71/40 and v?
40
What is the smallest common multiple of 2372 and (-215)/(-6) + 119/714?
21348
Let u = -48628 + 108194. Let v = u - 2501617/42. What is the common denominator of -101/42 and v?
42
Suppose -5*i + 14 = 4*t - 3, 0 = 4*t + 8. What is the smallest common multiple of i and -2*3/6 - -2?
5
Let j = 1941 + -3959/2. Let i = -3504 + 2118. Let y = i - -9721/7. Find the common denominator of j and y.
14
Let m be (-23)/2*(-10 + (-17811)/21). Let k = -9874 + m. Calculate the common denominator of k and -7/10.
70
Let i = -19111/9 - -535525/252. What is the common denominator of -199/210 and i?
420
Let t(n) = -16 + 8*n + 66 - n**2 - 51. Let d(l) = 6*l**2 - l + 1. Let s be d(1). What is the lowest common multiple of t(s) and 11?
11
Let b(u) = -u**3 + 6*u**2 - 16*u + 13. Let h be b(5). Suppose -4*k + 36 = 156. What is the common denominator of -37/7 and 92/h - (-10)/k?
21
Let q(v) = -81*v + 78*v - 7*v**3 + 12*v**3 - 14*v**2 - 4*v**3 - 36. What is the lowest common multiple of 30 and q(15)?
720
Suppose -83*o + 688 = -12592. Calculate the lowest common multiple of 52 and o.
2080
Let z = 64 + -73. Let j be z/(-1*63/12). Let o = 23/14 - j. Find the common denominator of o and -54/5.
70
Let r(v) = -4*v**2 + 20*v - 18. Let b be r(8). What is the lowest common multiple of 1/(-6) - 22135/b and 8?
776
Suppose -8*y = 3*y + 913. Let l = -81 - y. Suppose l*s - 5*s + 24 = 0. What is the least common multiple of s and 4?
8
Let a = 37 + -21. Suppose -4*n + 186 = -3*i, 5*n + 83*i = 79*i + 186. Calculate the lowest common multiple of n and a.
336
Let l be ((1 - 4) + 4)*-187. What is the lowest common multiple of ((-72)/(-21))/((-6)/(-84))