0 = 0. Let i(x) = 2*x + 6*x - 7*x - 5 + 3. What is the least common multiple of t and i(7)?
10
Let f(r) = -56*r + 1. Let m be f(-1). Let d = m + -58. Calculate the common denominator of -52/29 and 5 + d - (-46)/10.
145
Suppose -2 = -k - 3*k + 2*h, k = -4*h + 5. Let g = 589 - 589. Let i(v) = 14*v**2 + v + 39. What is the least common multiple of k and i(g)?
39
Let o be 3820/45*3/(-2). Let w = -129 - o. Find the common denominator of w and (-30)/(-20)*215/210.
84
Let c(l) = l**3 - 52*l**2 + 98*l + 309. Calculate the least common multiple of c(50) and 1140.
12540
Suppose -4*q + 1 = -7. Suppose 163 - 46 = 3*u. Suppose -5*o = -r - 181, o - r - q*r - u = 0. Calculate the least common multiple of o and 2.
36
Let t = 6061 + -5795. What is the least common multiple of 20 and t?
2660
Let f be (-34)/14 - -2 - (-12)/(-21). Let o be (5 - 2)/f - -11. Let x = o + -26/3. What is the common denominator of -16/45 and x?
45
Let a(f) = 34*f**2 - 25*f - 45. Let v be a(-8). Suppose -38*w + 47*w = v. What is the least common multiple of w and 9?
2331
Suppose 3433 + 18571 = 5*v - 2*c, -c - 17602 = -4*v. What is the lowest common multiple of v and 440?
4400
Let k be ((-27450)/987)/(-5) - 5. Let w = k - -21/94. What is the common denominator of 17/30 and w?
210
What is the smallest common multiple of (-6378)/(-21) + (1 - 0) + (-205)/287 and 3344?
3344
Let z = 396 - -312. Calculate the least common multiple of z and 10.
3540
Let i = -71663/18423 + 2/2047. Let p = -2552521/9 + 283964. Let s = -351 + p. Calculate the common denominator of i and s.
9
Suppose 0 = 2*n - 147 - 41. Let c = 102 - n. What is the smallest common multiple of (-1 + -6)/(4 - 5) and c?
56
Find the common denominator of 47/168 and 98/(-40)*(-175)/1260.
1008
Let l be -1 + 1 + -26 + -1. Let s be (-1)/(-3) - 315/l. Suppose s*n - 20*n = -72. What is the smallest common multiple of n and 21?
63
Let n = 628 + -621. What is the smallest common multiple of 6 and n?
42
Let r(b) = -57*b**3 - 4*b**2 + 6*b - 1. Let c(x) = -59*x**3 - 4*x**2 + 7*x - 1. Let i(g) = 2*c(g) - 3*r(g). Calculate the lowest common multiple of 16 and i(1).
432
Let b = -43 + 46. Find the common denominator of (b - 102/20)*1*-2 and -73/135.
135
Let f be 1/(-70)*15/(-6)*111866. Let y = f + -3993. Find the common denominator of y and -71/16.
112
Suppose 14*l = 16*l. Suppose l = -2*b - 4*g + 6, 0 = -2*b + 3*g - 2*g + 1. Let w = b - -6. Calculate the least common multiple of w and 25.
175
Suppose -p = -5*k + 3*k + 15, -3*p = 3*k. Find the common denominator of (-2)/4 - 54/p and 3 - (-2475)/(-378) - (-4 + 0).
210
Let k = -12801 - -14169. What is the least common multiple of k and 76?
1368
Suppose 0 = -4*n - 3*z + 534, 2*n + 5*z = n + 125. Suppose y = -48*y + 8085. What is the least common multiple of y and n?
1485
Let x(l) = -28*l + 3772. What is the smallest common multiple of x(134) and 120?
120
Suppose 45 = 14*k - 9*k. Let d be (-51)/((-15)/6 - -4). Let x = -28 - d. Calculate the lowest common multiple of x and k.
18
Suppose 4*o + 28 = 2*k, 34*k - 5*o = 38*k + 9. Let f(z) = -z**3 - 8 + 8*z**2 + 2*z**2 + 2*z**3 + 2*z. Calculate the smallest common multiple of f(k) and 2.
224
Let i be 18/(-33) - 3984126/660. Let m = i + 6049. What is the common denominator of m and 67/8?
40
Let h = 2/5993 - -425485/53937. Find the common denominator of 149/5976 and h.
5976
Let j = 36685/14 - 2623. Let b = 380/3 - 5353/42. What is the common denominator of j and b?
14
Let x(c) = -c**2 - 21*c + 4. Let k be x(-21). Suppose -5*q + j + 0*j = -23, -2*q = -k*j - 2. What is the lowest common multiple of 7 and q?
35
Suppose 0 = -4*t + 3912 - 47916. Let s = 7362658581/669488 - 384/41843. Let q = s + t. What is the common denominator of q and 61/16?
16
Let t = -32/211 - 7167/4220. What is the common denominator of 71/608 and t?
3040
Let d be (4/(-2))/(19/(-1444)). Let z = 231 - d. Calculate the smallest common multiple of z and 11.
869
Suppose -4*g + 58 = -3*g - 5*h, -h = g - 52. Let a(f) = f + 2. What is the lowest common multiple of a(3) and g?
265
Find the common denominator of 42/4*2561/18912 and 113/4848.
19392
Let i = 323 + -199. Suppose -6*u + 248 = -i. Let o = u + -56. Calculate the smallest common multiple of 4 and o.
12
Let f(o) = -16020*o**2 - 2*o - 2. Let y be f(3). Let q be 4/((-1008)/y) + 2/(-7). Let u = 570 - q. Find the common denominator of -58/3 and u.
9
Let f(v) = 217*v**2 - 6*v + 3. Let o be f(-3). What is the smallest common multiple of 60 and 1/(-7)*2 + o/49?
120
Suppose 5*d - 3*v + v - 202 = 0, 0 = -4*d + 2*v + 162. Find the common denominator of (93/d - -2) + (-6)/30 and (-4)/6 + 240/(-18).
8
Suppose 0*j = -3*v + 4*j + 30, -3*v - 5*j = -57. Suppose 69*u - 363 = 898 + 1637. Calculate the smallest common multiple of v and u.
42
What is the common denominator of -54/749 and 2/(-6)*(-1692)/(-235)?
3745
Let s be 1*-1 - (-8 + (-151148)/(-21596)). Let y = s - 345734/178167. Let q = -2581/324 + 4/81. Calculate the common denominator of q and y.
132
Suppose 98*l - 3 = 95*l. What is the lowest common multiple of 18 and (-3 + (-6)/(-24))/(l/(-8))?
198
Suppose -31 = -7*u - 10. Let o be (-541839)/118710 - u/(-15)*2. Let y = o + -3/1319. Find the common denominator of y and -97/14.
42
Let k = -41494039/284 - -146106. Find the common denominator of -59/6 and k.
852
Suppose z = 4*z - 108. What is the common denominator of 865/(-60) + (-90)/(-10) and (-22)/z - (-3)/(-9)?
36
Let d = -332069/2148039 + 203/1153. What is the common denominator of 28/3 and d?
1863
Suppose 0 = 5*r - 57 - 33. Suppose -r*s + 37*s - 1786 = 0. Calculate the lowest common multiple of s and 4.
188
Let v = 691722653/34196956 - -854/42961. Let a = -1/398 - v. Let k = -2/2319 - 67243/9276. Calculate the common denominator of a and k.
4
Let k = 1139/5 - 37852/165. Calculate the common denominator of k and (-9 - (1 + (-740)/75))/((-32)/205).
528
Let i = 329761/4 + -82426. What is the common denominator of 4/(-20)*(-109)/(-14) and i?
140
Suppose 8*l = 54 + 18. Suppose l*o + 0 + 0 = 0. Suppose 4*y = -c - o*c + 32, 3*c = -3*y + 24. Calculate the lowest common multiple of 14 and y.
56
Let h = -5913 - -6273. What is the smallest common multiple of h and 400?
3600
Suppose 936 + 230 = 11*h. Let z = h + -96. Calculate the lowest common multiple of 37 and z.
370
Let b(c) = 6*c + 610. What is the smallest common multiple of b(-101) and 12?
12
Let k = 6667/870 - 136/87. What is the common denominator of k and 6 + -3 + 0 + (-147)/40?
40
Let m = 231395 + -1425149/6. Let q = -6150 - m. Calculate the common denominator of 22/73 and q.
438
Let w = -9 - -23. Let s = -7 - -9. Suppose s*n - 4*x - 16 = 0, -4*x + w = 3*n - 5*x. Calculate the least common multiple of n and 64.
64
Let n = 2533 - 2530. Suppose -x - 18 = -u, -x - x - 5*u = 1. Let a = -2 - x. Calculate the smallest common multiple of n and a.
33
Let s(a) = 2*a + 1. Let w(f) = 91*f + 825. Calculate the smallest common multiple of s(0) and w(-9).
6
Let z = 290 + -286. What is the smallest common multiple of 62 and 21 + z + -4 + -1?
620
Let a(p) = 7 + 7 + 2*p + 9*p + 2*p**3 - p**3 + 5915*p**2 - 5904*p**2. Calculate the smallest common multiple of a(-10) and 10.
20
Let j(d) = -85*d**2 + 5*d - 20. Let i be j(5). Let v = i - -4163/2. Calculate the common denominator of -76/9 and v.
18
Let y be 6/36*138/(-4) + 18/(-72). Suppose 5*w - 19 = -4*r + 2*w, 0 = -2*r - 2*w + 10. Calculate the common denominator of (2/r)/(y/(-244)) and 71/24.
24
Let u(m) = 92*m**2 - 458*m - 6. What is the smallest common multiple of u(5) and 213?
852
Let u = 37490 + -25966. Let x be (35/2 + -2)*81862/(-110). Let w = u + x. Find the common denominator of 113/10 and w.
10
Let s = 200561239/1114 - 180037. Calculate the common denominator of s and 27/7.
7798
Suppose 2*r - 42 = 2*a, -a + 5*a + 110 = 5*r. Let y = -372087 - -372101. Calculate the least common multiple of r and y.
182
Let h be 6*(-24)/(-18) + -1092. Let p = -15201/14 - h. What is the common denominator of p and -97/20?
140
Suppose -32*s = -52*s + 600. What is the lowest common multiple of s and 10?
30
Let o(f) = -50*f - 228. Calculate the smallest common multiple of o(-6) and ((-50)/(-4))/5*990/25.
792
Let w(i) = i**3 - 14*i**2 + 19*i - 37. Let r be w(12). Calculate the common denominator of (-2*74/(-8))/(-7) and -2*r/12*11/22