 r = 3*r + 4. Let p(l) = l**2 - 3*l + 6. Let t(c) = 1. Let v(u) = r*t(u) + p(u). Calculate the least common multiple of 1 and v(2).
2
Let s = -198541/24 + 8274. What is the common denominator of 34/81 and s?
648
Let g(i) = 3*i**2 - i. Let n be g(-1). Calculate the common denominator of (-98)/n + -4 + 4 and -51/22.
22
Calculate the common denominator of 1339/(-104)*(-2 - 132/(-63)) and 67/15.
420
Let x(a) = -750 + a + 757 - 4*a. What is the lowest common multiple of x(0) and 12?
84
Suppose 29*w = 31*w - 13344. Let v = 106841/16 - w. Find the common denominator of v and 46/(-88) - (-2)/(-8).
176
Let k be 1/8 + 4 + 900/(-32). Find the common denominator of (235/25)/(k/15) and -27/5.
40
Let x = -281 + 292. Let p(u) = -3*u**3 + 5*u + 0*u - 6*u**2 - 8 + 2*u**3. Calculate the smallest common multiple of p(-7) and x.
66
Let g(h) = h**3 + 7*h**2 - 5*h - 5. Let l be g(-7). What is the common denominator of -30/7 and l/4*28/80?
56
Let d(q) = -q**3 - 2*q**2. Let l be d(-6). Suppose 3*w = 4*o - 80, -3*o = 5*w + o + l. Find the common denominator of 13/6 and (-3)/(-44) + (-21)/w.
66
Let k(l) = l**2 - 7*l + 12. Let y be k(8). Suppose -y*g + 18*g = -152. What is the smallest common multiple of 22 and g?
836
Suppose 84 = -4*l - 3*w, 2*l - 4*w = -3*l - 136. Let g = l - -31. Calculate the least common multiple of g and 5.
35
Suppose 0*z = -3*z - 5*v + 138, 3*z - 4*v = 111. What is the least common multiple of z and 2?
82
Let v be (-368)/12 - 3/9. Let h = v + 47. What is the least common multiple of 12 and h?
48
Let y(q) = -q**3 - 13*q**2 + 9*q + 7. Let r be y(-13). Let l = r + 117. Calculate the least common multiple of l and 4.
28
Let d(m) = -m + 85. Calculate the lowest common multiple of d(15) and 15.
210
Suppose -3*z = 7*z - 2040. What is the lowest common multiple of 85 and z?
1020
What is the common denominator of -139/42 and ((-2)/5)/((-40)/485)?
420
What is the smallest common multiple of (6 - (-2 - 6))*1 and (0 - -3)/(15/50)?
70
Let l be ((-354)/(-2))/(-1)*16/6. What is the smallest common multiple of (-8)/6 + 2 + l/(-12) and 2?
40
Let o = -84 - -16. Calculate the common denominator of -89/20 and ((-1717)/o)/(15/(-2)).
60
Let m = -5/903 + -17749/1806. Let f = 6637/3 - 2209. What is the common denominator of f and m?
6
Let r be (20/(-8))/((-1)/4). Suppose r = 4*t - 38. What is the lowest common multiple of 4 and t?
12
Find the common denominator of (234/15)/((-200)/15) and 57/20.
100
Let g = 10679/5520 + 1/345. Calculate the common denominator of -1 + (-630)/160 + 9 and g.
16
Let g be 1*(-3 - (-1 - -5)) + 3. Find the common denominator of -56/33 and (63/15 + g)/(24/350).
132
Suppose 2*h = -2*y + 10, 0 = -2*h + 3*h - 2. Suppose 2*c - 7 = 5*q - 0, 3*c - 21 = -y*q. Calculate the least common multiple of c and 22/(4 - 1 - 2).
66
Let n(m) = m**2 + 6. What is the lowest common multiple of 18 and n(-3)?
90
What is the common denominator of (60/(-2720))/((-9)/66) and -17/28?
476
Let m(r) = -r**2 + 16*r - 11. Let c = -22 - -37. Calculate the smallest common multiple of m(c) and 1.
4
Let j = -1519/6 - -254. What is the common denominator of 21/84*59/2 and j?
24
Suppose 0 = -4*h - 6*h + 500. What is the least common multiple of h and 30?
150
Let k be (-4)/(-10) + (-293449)/103740. Let g = -8/665 - k. Calculate the common denominator of -47/10 and g.
60
Calculate the common denominator of (-533)/2009*3/3 and -87/98.
98
Suppose 6*z = 2*z + 8. Let m(r) = 9*r**2 + r - 1. Let q be m(z). Suppose q = 4*y - 7. Calculate the least common multiple of 6 and y.
66
Calculate the common denominator of 15/2 and (209/22)/(34/3 + -2).
56
Let f = 7709/5 + -1531. What is the common denominator of -48 and f?
5
Suppose -9*l - 34 = -106. Let h(n) = n**2 + 8*n + 10. Suppose j = 3*f + 3 - 26, 0 = -4*j + 3*f - 47. Calculate the least common multiple of l and h(j).
40
Let a(l) = 3*l**2 - 40*l + 299. Calculate the smallest common multiple of a(24) and 6.
6402
Find the common denominator of 3/(-6) - ((-162)/(-22))/(-9) and (-1)/3 - (-470)/132.
22
Let s = 178289/1672 - 2353/22. Calculate the common denominator of -125/36 and s.
1368
Calculate the common denominator of (-4)/(-78)*(2 - -46) and 58/(2*5/(-2)).
65
Let y = -355 + 35. Find the common denominator of (-4)/(y/(-325)) + 4 and 61/116.
464
Let p = -16 + 14. Let a be 32/12*(-45)/p. Find the common denominator of ((-30)/4)/(10/a) and -50/3.
3
Suppose 0*h - 2*h + 33 = 3*g, 0 = -5*g + 15. Suppose -h = -z + 3*z. Find the common denominator of -1/14 and z/20*53/6.
140
Let m(d) = 344*d**3 - 5*d - 6. Let h be m(-2). Let w = h + 19177/7. What is the common denominator of 91/8 - (-3)/6 and w?
56
Calculate the lowest common multiple of 21 and (243/(-12))/((-21)/224).
1512
Let q = 5493/4 - 1355. What is the common denominator of ((-417)/(-30) - 4) + -2 and q?
20
Let t be (-2)/(((-24)/420)/((-1)/5)). Let j(x) = -5*x - 12. Calculate the lowest common multiple of j(t) and 8.
184
Let k(p) = -p**2 - 4*p. Let q be k(-3). Suppose -18 = 3*m - 8*m + q*o, -2*o = -m - 2. What is the least common multiple of 12 and m/(-24) + 18/8?
12
Suppose 11 - 3 = 4*l. What is the smallest common multiple of 9 and l?
18
Find the common denominator of (-21)/203*245/63 and 11/10.
870
Suppose k = 2 + 4. Suppose 2*r = -r + 96. What is the lowest common multiple of k and r?
96
Let w be (2/(-3))/((-9)/162). Suppose 9 = -2*n + 5*i - w, 0 = -5*n + 3*i - 43. Calculate the lowest common multiple of (6/(-5))/(n/20) and 17.
51
Let q = -213 + 223. What is the smallest common multiple of 31 and q?
310
Let v = 2783159/8130 - 3423/10. Let x = v - 77599/11382. Let y = 236172/79937 - -1/14534. Calculate the common denominator of y and x.
154
What is the common denominator of 2 + -2 + 2/((-160)/616) and -51/16?
80
Let l = 44494 + -488150/11. Suppose -2*c = -4*c + 234. Let n = c - l. What is the common denominator of 38/5 and n?
55
Let h(c) = -c**3 - 70*c**2 + 76*c + 410. Calculate the least common multiple of 100 and h(-71).
1100
What is the smallest common multiple of 16 and 206/30 - 4/(-30)?
112
Let c = 77/34 - 29440/17. Let s = 1682 + c. Calculate the common denominator of 44/5 and s.
10
Suppose -77 = 4*a - 1. Let p = a - -1. Calculate the common denominator of 9/8 and (-32)/p - (4 + -3).
72
Let q = -7 - -11. Suppose -965 + 997 = 4*n. Calculate the lowest common multiple of n and q.
8
Suppose 3*h = h + 12. Let j(d) = 10*d**3 - d. Let g be j(-1). Let b(m) = m**2 + 6*m + 27. What is the smallest common multiple of b(g) and h?
54
Let x(w) = 2*w**2 + 2*w + 1. Let q be x(-1). Find the common denominator of -51/14 and 174/42 + q/(-2).
14
Suppose -q + 33 + 17 = 0. Let l = -17 + q. Calculate the smallest common multiple of l and 1.
33
Let g(o) = o**2 - 7*o - 68. What is the least common multiple of 46 and g(13)?
230
What is the lowest common multiple of (12/9 + -5)/(1/(-3)) and 110?
110
Suppose 4*p - 13 = -3*o, 3*p - 8*p = -o - 21. Calculate the smallest common multiple of p and 20.
20
Suppose -65*w + 75 = -63*w + 5*b, -w + 35 = 5*b. Calculate the least common multiple of w and 4.
40
Let j = 3093 + -12449/4. Let l(p) = -p**3 - 5*p**2 - 4*p + 2. Let n be l(-3). What is the common denominator of j and (-5 - -2) + n/(-160)*122?
20
Suppose 31 = 5*t - 4*z, 0 = -4*t + 3*z - 7*z + 32. Let v(w) = 2*w + 20. Let x be v(-7). What is the common denominator of (t/x)/(28/231) and 56/11?
88
Let n = -159 + 161. Calculate the lowest common multiple of n and 684.
684
Calculate the common denominator of 3*266/(-63) + (-6)/(-8) and 4/10 - (-311)/160.
96
Let o(z) = -z**2 + 15*z - 40. Calculate the smallest common multiple of 12 and o(10).
60
Let f = -865 + 4353/5. Calculate the common denominator of f and ((-16)/(-56))/((-36)/(-3129)).
30
Let i = -353 + 215. Let o = 93 + i. Calculate the common denominator of ((-9)/2)/(o/(-21)) and -101/16.
80
Let q = 7 - 5. Let o(f) = 5*f**2 - 27*f + 34. Calculate the smallest common multiple of o(4) and 68/7 - q/(-7).
30
Let j = 307 + -287. Calculate the least common multiple of j and 14.
140
Let s = 2952 - 1000724/339. Let f = s + -4790/3729. Find the common denominator of f and 91/4.
44
Suppose 0*z + 6*z - 1188 = 0. Suppose 0 = -0*v - 11*v + z. Calculate the lowest common multiple of v and 8.
72
Suppose -87 = -3*w - 3*z, -2*w - z + 6*z = -51. Suppose 0 = -3*q + 4*a - w, 5*q + 1