47
Let u = 3 - 2. Suppose t = -q + 5 + 17, -5*q - 3*t = -110. Suppose 2*i - 5*r - q = 0, r + 32 = 3*i + 2*i. What is the smallest common multiple of u and i?
6
Let z = -9989/5 + 1991. Let q = 6997/8062418 - -3/5642. Let l = q - 34318/15719. What is the common denominator of z and l?
55
Suppose 0 = -5*c + x - 6*x, 18 = 2*c - 4*x. Suppose -4*v = c*m - 15, v + 2*v = m + 8. Calculate the smallest common multiple of 2 and m/(4/(-8)*-1).
2
Suppose r = -4*c + 477, 2*c = 7*c - 4*r - 570. Let u(w) = w - 1. Calculate the least common multiple of c and u(11).
590
Let q = -257 - -71. Calculate the common denominator of -1/22 and (-3)/((-540)/q)*5/3.
198
Suppose -l + 12 = j, -4*j = -l - 8*j + 18. Calculate the lowest common multiple of l and 20.
20
Let w(j) = 1750*j - 6. Let i be w(-6). Let v = 189035/18 + i. What is the common denominator of v and -74/9?
18
Let v(y) = -3*y + 26. Calculate the smallest common multiple of (-11)/((-2 + -1)/6) and v(8).
22
Let w = -214 - -746. Calculate the least common multiple of 48 and w.
6384
Let l be (-9)/(-2) + 4/(-8). Suppose -3960 = -x - l*x. Let c = -6253/8 + x. Calculate the common denominator of c and -25/12.
24
Let u = 25475459529/350 + -1543081686/25. Let o = u - 11068343. Let k = o + 4589. What is the common denominator of k and -89/10?
70
Let m = 3810/511 + -2/73. Calculate the common denominator of m and 41/268.
1876
Let z(c) = -c + 35. Let r be z(0). Suppose 2*s + r = 7*s. Suppose -4*a - s = -5*a. What is the lowest common multiple of a and 7?
7
Let c = 100586/165 + -6079/10. What is the common denominator of c and 31/30?
330
Calculate the common denominator of (-5)/1450*(22 + -6) and 32/9.
1305
Suppose -6*o - 11 = -59. Calculate the least common multiple of o and 11.
88
Suppose 0 = -3*z - v + 359, -4 = -10*v + 14*v. What is the lowest common multiple of 90 and z?
360
What is the smallest common multiple of -5*1*864/(-240) and (6/7)/(1/7)?
18
Calculate the common denominator of 1/9 and (256/(-432))/(0 - 2).
27
Let b = -59/265 + 41609/9540. Find the common denominator of 81/16 and b.
144
Let k = 122 + -128. What is the common denominator of 11/65 and (k/(-64))/((-11)/(-1364))?
520
Let p(n) = 3*n**3 + n - 1. Let f be p(1). Suppose 0 = -f*j + 6 + 30. Suppose 7*w - 2*w - 40 = 0. Calculate the lowest common multiple of w and j.
24
Let j(l) = 34*l**2 - 55*l - 54. Calculate the smallest common multiple of j(-1) and 2.
70
Let w(f) = -2*f**3 + 18*f**2 + 6*f - 18. Let m be w(14). Let x be (-3)/574*m/(-6). Let s = x + -70/41. What is the common denominator of s and -101/18?
126
Suppose -11134 = 3*g + 3656. Let a be 4 + 3 + g/(-32). Let z = 161 - a. What is the common denominator of z and 73/14?
112
What is the smallest common multiple of 6 and (4 - 1)*(17 + 2)?
114
Suppose 3*i - 16 = -o, o + 3*o - 4*i - 112 = 0. Suppose -7*l - o + 130 = 0. What is the least common multiple of l and 9?
45
Let u = 744942667251315008507/20725206985860 + 1440/26570778187. Let g = u + -35943793. Let i = -27/65 - g. Calculate the common denominator of i and -121/18.
36
Let g = 5 - 35. Calculate the lowest common multiple of 153/5 - (-18)/g and 40.
120
Let l = 1513398 - 10613583/7. Let c = -2820 - l. Calculate the common denominator of c and ((-141)/9 - -2) + -1.
21
Let p = 1338 + -1120. What is the least common multiple of 16 and p?
1744
Let i be (3/(-9))/(2/(-12)). Let c(b) = -b + 2. Let z be c(i). Suppose 6*u - 9*u + 12 = z. What is the least common multiple of 10 and u?
20
What is the common denominator of (6/50)/(35/25) and -107/50?
350
Let y = 13759/9 - 1527. Let m = -175/2 + 233/3. What is the common denominator of m and y?
18
What is the common denominator of (-6 - (-4106)/1080) + (-32)/(-40) and -61/81?
324
Let f = 11/43839871 + 88731504344765/1578235356. Let r = f + -56226. Let l = 5925/8 - 746. Find the common denominator of r and l.
72
Let z = -4711/4 - -1163. What is the common denominator of 91/15 and z?
60
Let m(n) = -3*n**2 + 180*n + 10. Suppose 3*b = -4*p + p + 30, -3*b = -3*p - 6. What is the lowest common multiple of m(60) and b?
30
What is the lowest common multiple of 24 and (-27)/((-405)/1662) - (-1)/5?
888
Suppose 2*t + 666 = 4*i, -5*t + 136 + 179 = 2*i. What is the lowest common multiple of i and 1?
165
Suppose 30 = -5*k - 5*q, 21 = -k - k + q. Find the common denominator of ((-76)/k)/(-4) - 3/(-1) and 41/12.
36
Suppose -4*m + 119 = 35. Suppose -2*o - 17 = -23. Calculate the smallest common multiple of m and o.
21
Suppose -10440 = 1339*j - 1354*j. Calculate the least common multiple of j and 14.
4872
Let c = -1/675 + 35783/5400. Calculate the common denominator of ((-226)/(-240))/(4/(-12)) and c.
40
What is the smallest common multiple of 27 and 1/((-1)/(-4)*(-28)/(-84))?
108
Suppose 68 = -3*q + 5*c, -2*q + q = -5*c + 36. Calculate the lowest common multiple of 11 and -3 + -1 - (q + 2).
110
What is the common denominator of (-76)/(-144)*(21 + -18) and -79/60?
60
Suppose 51*f = 46*f + 405. Calculate the least common multiple of 27 and f.
81
Let q = 773143/30 - 25776. Find the common denominator of 109/12 and q.
60
Calculate the smallest common multiple of (-2)/((8 - 3) + 54/(-10)) and 18.
90
Let q = 25 + -22. Suppose 4 = q*l + 5*i, -3*i + 9 = 4*l - 0. Suppose -58 + 17 = -4*y + l*g, 2*y = g + 19. Calculate the least common multiple of y and 22.
88
Let f = -23/183 - -8768/10065. Find the common denominator of 21/11 and f.
55
Let x = 11543 + -4776. Let y = -1/16617442 - 393962160572/58161047. Let f = x + y. What is the common denominator of f and 109/18?
126
Let y = 8204 + -1476761/180. What is the common denominator of 19/324 and y?
1620
Suppose -2 = 2*a, -2*w = 4*a + a + 45. What is the common denominator of -27/115 and w?
115
Let s(a) = a**3 - 5*a**2 - 6*a + 2. Let n be s(6). Suppose n*f + 10 = 3*f. Calculate the common denominator of 74/f - (5 + -4) and 7/5.
5
Suppose 0 = 4*h + 2*g - 70, -5*g + g = 4*h - 76. Let s(o) = -o**2 - 29*o - 146. What is the lowest common multiple of h and s(-21)?
176
Suppose -423 - 387 = -15*g. Calculate the lowest common multiple of g and 60.
540
Calculate the common denominator of (-5 + 10)/((-12)/11) and 26.
12
Let z = 82247 - 82237. Suppose 0 = y - 3*y + 3*h + 81, 2*h + 6 = 0. Suppose y = 5*w - 14. Calculate the least common multiple of w and z.
10
Let f = -1234 - -2411/2. Let v = -27 - f. Find the common denominator of -5/9 and v.
18
Let l(u) = 2*u - 5. Let d = -31 + 27. What is the smallest common multiple of ((-224)/70)/(d/10) and l(5)?
40
Let t = 658 - 654. What is the smallest common multiple of 4 and t?
4
Suppose 181 + 79 = 10*l. Let i = 58 - l. What is the least common multiple of i and 4?
32
Let i = -2/123 + 479/41. Calculate the common denominator of i and 14/3.
3
Let m = 1306 - 1098. What is the lowest common multiple of 208 and m?
208
Let v(z) = -z**2 - 9*z - 6. Let s(r) = -r - 2. Let t be s(5). Let o be v(t). Find the common denominator of 248/(-16)*(-6)/o and -55/14.
56
Let o = 5 + -62. Let l = o - -69. What is the smallest common multiple of 4 and l?
12
Let n = 82723947/778 + -106329. What is the common denominator of n and 71/20?
7780
Suppose -8034*l - 315 = -8043*l. What is the lowest common multiple of 105 and l?
105
Calculate the common denominator of 103/60 and 1 + 3 + 161/42.
60
Let i be 3 + (-4 - (-39 - 4)). Suppose 0 = -4*b - 3*j + 52 + i, -b + 32 = 5*j. What is the lowest common multiple of b and 12?
132
Let g = -256 - -284. Calculate the lowest common multiple of g and 28.
28
Suppose 5*o + 11 = x + 3*o, x - 6 = -3*o. Let l be (-1 - -5 - 3)*(-1 - -7). Calculate the lowest common multiple of (3/((-9)/3))/((-2)/l) and x.
9
Let g = 18 + -16. Calculate the common denominator of ((-6)/44)/((-36)/(-1308)) and g/(-5) - 2358/780.
286
Let a = 305/6 - 52. Let j = -267/2 + 114. What is the common denominator of a and j?
6
Suppose -12*h = 17 - 77. Suppose 2*k - 36 - 12 = -h*y, 5*k = -y + 74. What is the smallest common multiple of k and 18?
126
Let f = -444 - -450. What is the lowest common multiple of f and ((-100)/(-12))/(2/6)?
150
Let l = -19 + 11. Find the common denominator of (l/3)/(126/(-27)) and 19/13.
91
Let f = 340140 + -8807741/26. Let u = 1383 - f. Find the common denominator of u and -11/2.
26
Find the common denominator of 21/(-36)*-2*(-618)/714 and -13/75.
25