1. What is the lowest common multiple of u and 152?
760
Suppose -108 = 2*t - 112. What is the least common multiple of 30 and t?
30
Let d = -16 - -20. Suppose 0 = j + 3*k - 2, 5*j - 2*j + d*k = 11. Suppose q - 1 = 1, -j*q = -4*z + 34. Calculate the least common multiple of z and 6.
66
Let i(n) = 5*n - 16. Let g be i(-17). What is the common denominator of -4 + g/(-12) - 0 and -5/12?
12
Let l = 55763 + -1672729/30. Calculate the common denominator of l and (-574)/144 - (-6)/(-27).
120
Suppose 22 + 32 = 3*g. Let d = 4022 + -4016. What is the least common multiple of d and g?
18
Let n = 186575326875485/117348 + -11129523130/7. Let l = n + 5/1397. Calculate the common denominator of l and -125/6.
12
Let m = -149047/6276 + -2/1569. Calculate the common denominator of 41/1029 and m.
4116
Calculate the common denominator of 38/45 and ((-3)/9)/(6 + 14912/(-2472)).
90
Suppose -14*u + 13*u = -1. Calculate the smallest common multiple of (11/((-330)/18))/(u/(-10)) and 12.
12
Let a(o) = o**3 + 4*o**2 - 3. Let l be a(3). Let q = l + -42. Calculate the least common multiple of (26 + 2)*3/6 and q.
126
Let b(n) = 27*n**2 - 4*n - 14. Calculate the lowest common multiple of b(3) and 70.
2170
Let o(u) = u**2 + 5*u + 3. Let p be o(-3). Let d = -442731/140540 - -3/14054. Calculate the common denominator of d and p/15*(-265)/(-16).
80
Let k(d) = -2*d**2 + 251*d + 386. Let a be 145/3 + 2/3. Let z = a + -32. What is the smallest common multiple of k(127) and z?
85
Let r(m) = -6*m**2 + 5 - 7*m - m + 2*m - m**3 - 7. Let y be r(-5). Suppose -y*b - 5*q + 7 = -27, 4*b - q = 7. Calculate the smallest common multiple of 8 and b.
24
Let n be ((-218)/3)/((-5)/(60/8)). Let q = n + -103. Let u = 6 + 1. Calculate the lowest common multiple of u and q.
42
What is the common denominator of 15/16 and ((2 + -1)/(-210))/((-48)/(-2808))?
560
Let f(t) = -t**3 - 11*t**2 + 2*t - 16. Calculate the least common multiple of f(-12) and 12.
312
Let f = -3/1366 - -46465/9562. Let v = -5086/117 - 7/234. Find the common denominator of v and f.
14
Let s be (-5 + -4)/(-3 + 2). Suppose 2*l - s = 57. What is the lowest common multiple of 12 and l?
132
Suppose 0 = -4*d - 4 + 12. Let p be (30 - 24) + (-1 - 1). Suppose -5*t + 3*u = 6*u - 27, 2*t - p*u + 10 = 0. Calculate the lowest common multiple of t and d.
6
Let a = -124 + 126. Calculate the least common multiple of 3 and a.
6
Let i be -5584*8/66*(-47)/(-94). Let x = 337 + i. What is the common denominator of 83/33 and x?
33
Let k be 48/(21/(-12) - -1) + -2. What is the common denominator of -30*k/(-192)*2/(-3) and 46?
8
Let v = -18/71 + 1871/2059. Find the common denominator of -18/11 and v.
319
Find the common denominator of (-3)/(-9) + 758/(-240) and -2 - (-13 + (-119)/(-70)).
40
Let j(z) = 10*z + 152. Calculate the lowest common multiple of 8 and j(4).
192
Let t = -699/4 + 22763/132. Find the common denominator of t and -47/402.
4422
Suppose 28*g - 2225 = 2115. Calculate the smallest common multiple of 31 and g.
155
Suppose 342*l + 1298 = 353*l. Calculate the smallest common multiple of l and 18.
1062
Suppose -18*i = -13*i - 300. Calculate the least common multiple of 20 and i.
60
Let k = -1091/1854 - 39/206. What is the common denominator of k and 1 + 1 - 206/72?
36
Let s be (-1)/(-1) + (-33 - -2). Let w be s/(820/(-268) - -3). Let a = 475 - w. What is the common denominator of 73/20 and a?
20
Let a(n) = n**3 + 17*n**2 + 47*n - 30. Calculate the smallest common multiple of a(-13) and 1.
35
Suppose 12*o = -16*o + 5880. What is the lowest common multiple of 105 and o?
210
Calculate the common denominator of (-843)/(-82) - (-92 - -102) and -74/123.
246
Calculate the common denominator of (-167)/(-501) - (1 + (-658)/774) and -34/5.
1935
Let o = -125 - -350. Let q = o - 7426/33. Let w = -61/165 + q. Calculate the common denominator of 39/10 and w.
10
Let y(b) = b**2 - 14*b + 22. Let p(q) = -q + 1. Suppose -k - 5*v = 11, 3*k + 5*v + 13 = -0*k. What is the lowest common multiple of y(13) and p(k)?
18
Suppose -216 = 5*f - h, -2*h + 57 = -4*f - 117. Let j be ((-59932)/(-715))/(3 - f). Let z = 6/1495 - j. Calculate the common denominator of z and -35/4.
44
Let c be 0 - ((-12850)/(-48) - -2). Let g = -781/3 - c. Find the common denominator of g and 12/(-30) - (-89)/60.
24
What is the lowest common multiple of (-1)/3 - 4036/48*-4 and 30?
1680
Let p be ((-1)/10395)/(953/33383270759). Let v = p + 2/1415205. Let m = 3377 + v. Find the common denominator of -31/10 and m.
70
Calculate the common denominator of 276/(-18)*(57/12 + -4) and 15/32.
32
Let m = -15525/4 + 3861. Calculate the common denominator of m and (-4)/18 - 119/(-90).
20
Suppose -1 = 2*f - 5*y - 16, 0 = f - y - 9. Find the common denominator of -25/6 and 2/f + (-252)/(-440).
66
What is the least common multiple of 80 and 14/35 + 4/10*14?
240
Suppose 6*m - m = -15. Find the common denominator of (-33)/(m/(9/42)) and 99/16.
112
Let a(u) = -u + 6. What is the least common multiple of 7 and a(-6)?
84
Suppose -46 + 10 = -2*u. Let o = u + -12. Calculate the least common multiple of o and 50*3*6/45.
60
Suppose -2*y - 4*q = -0*q - 436, -5*y + 5*q = -1165. Let j be 4/6*y/(-8). What is the lowest common multiple of 14 and 2 - 2 - -1 - j?
140
Let c be 2/13 + 14694/(-26). What is the common denominator of 55/12 and c/30 + 4/(-1)?
12
Suppose 2*y + 2*s - 18 = 0, -2*s = -4*y + s + 71. Let f = -1 + 1. Suppose f = 5*z + 47 - 147. Calculate the lowest common multiple of z and y.
140
What is the common denominator of 174/(-5) - 17/85 and 11/54?
54
Let s be (1671326/(-5))/((-12)/(-9)). Let y = s + 243566. Let a = 7143 + y. Calculate the common denominator of a and -81/8.
40
Let t = -255627101/1000 - -255627. What is the common denominator of t and 39/20?
1000
Suppose 7*j - 6090 = 6*j. What is the common denominator of 99/8 and 4/14 - j/7595?
248
Find the common denominator of (-40)/(-80)*(-48)/214 and 79/10.
1070
Let j = -9357 + 598823/64. Calculate the common denominator of j and (2/(-14))/(67/134) + (-467)/56.
64
Let f = 786976017/20 - 39357151. Let p = f + 8347. Find the common denominator of -113/20 and p.
20
Suppose 17*h - 39621 = -13747. Calculate the lowest common multiple of 2 and h.
1522
Let u = -10 + 27. Let r = u - 1. Calculate the smallest common multiple of 20 and r.
80
Let z(x) = -4*x + 26. Let i be z(7). Find the common denominator of 220/32 + (-2 - i) and -37/10.
40
Let x(b) = -b**2 + 10*b - 4. Let z = 12 + -6. Suppose -80 = w - z*w. Calculate the lowest common multiple of w and x(8).
48
Let j = -16/28855 - 4701349/3635730. What is the common denominator of 69/16 and j?
1008
Suppose -5 = -5*o - 25. Let r be (-164027)/(-26220) - o/1. Let i = -2/345 + r. Calculate the common denominator of i and -13/14.
28
Suppose -4*t + 5 = -7. Suppose -24 = -6*n + t*n. Let c = 11 - 3. Calculate the lowest common multiple of n and c.
8
Let n(l) = -l**3 - 27*l**2 + 28*l + 50. Calculate the smallest common multiple of n(-28) and 45.
450
Let s = 8137 + -366232/45. Find the common denominator of s and -41/55.
495
Suppose 0 = 12*l - 3*l - 306. Suppose -k + 10 = -l. Calculate the least common multiple of 6 and k.
132
Suppose z = 5*y + 26, 3*z + 2*y = z + 28. Let b(i) = -2*i - 4. Let d be b(-3). Let k(t) = 8*t**2 + t. Calculate the smallest common multiple of z and k(d).
272
Let l = -1974865/48 + 41141. Let m = l - 125/16. What is the common denominator of m and 28?
6
Suppose 3*s + 4*m - 8 = 0, -4*s - s = m - 19. Suppose -s*q = f - 0*f - 17, 0 = q - 2. Calculate the least common multiple of 4 and f.
36
Let d = 110231/63 + -1750. Find the common denominator of d and 13/70.
630
Calculate the common denominator of 65/186 and (((-36)/(-10))/((-76)/(-589)))/(-6).
1860
Let v be ((-114)/44)/((-21)/3437). Let z = -422 + v. Find the common denominator of z and -63/2.
22
Suppose 0 = 6*w - 90*w + 22680. Calculate the least common multiple of 15 and w.
270
Suppose -24 = -12*o + 6*o. Let f(k) = -k**2 - 10*k + 8. Let q be f(-11). Let r(l) = -l + 1. What is the least common multiple of o and r(q)?
4
Let s(c) = -2*c - 28. Let g be s(-14). Suppose -l + 29 - 9 = g. Calculate the least common multiple of l and 8.
40
Let v(r) = r**3 + 20*r**2 - 26*r - 69. What is the least common multiple of v(-21) and 24?
72
Suppose 8 + 10 = p. Let a = 79