228
Let l be 216/30*(-6 + (-11)/(-11)). Let k(a) = 3*a**2 - 2*a + 2. Let j be k(4). Let t = l + j. Calculate the smallest common multiple of 6 and t.
6
Suppose 10*n - 40 = 460. Calculate the lowest common multiple of (-1 - n/(-14))/((-3)/(-14)) and 50.
300
Let r be (-12)/(-16) + (-1757059)/(-84) + 0. Let q = -20914 + r. Calculate the common denominator of 71/33 and q.
462
Let v = -1145307/1022 + 29378/73. Let k = v - -719. Find the common denominator of -55/4 and k.
28
Suppose -110 = -11*o - 77. Suppose o*a - 192 - 72 = 0. Calculate the least common multiple of 110 and a.
440
Let h = 74428 + -74407. Let p = -190 + 364. What is the smallest common multiple of p and h?
1218
Suppose -170 = v + 2*s, 23*s - 19*s + 664 = -4*v. Let i(b) = -7*b**2 + 2*b - 1. Find the common denominator of (-1 + v/(-4))*(-1)/(-41) and i(2).
82
Suppose -77 = -m + 37. Let v(h) = -2*h**2 - 96*h + 778. What is the lowest common multiple of m and v(7)?
456
Suppose -8*s + 2257 = -335. Suppose 17*c + c = s. What is the smallest common multiple of 50 and c?
450
Let i = 2844/5 - 22507/40. Let k = -11071/51 + 1309/6. What is the common denominator of i and k?
136
Let n = -1429 + 1443. Suppose 24 = v - l, 5*v + l = 117 + 27. Calculate the smallest common multiple of v and n.
28
Let i = 1562 - 1548. What is the smallest common multiple of i and 21?
42
What is the common denominator of ((-8)/(-66))/(5/105) and ((-3015)/(-100))/9 - 49/(-28)?
110
Let n(m) = 6*m**2 - 27*m - 99. Let v be n(21). Suppose 41*r = 1751 + v. Calculate the smallest common multiple of 91 and r.
91
Let z = 24889/480 - 787/15. Calculate the common denominator of z and 2/10 - (-369)/180.
96
Let v be ((-4)/(4/(-3)))/1. Suppose -4*j - v*j + 1197 = 0. What is the common denominator of 47/11 and (4/(-6))/((-24)/j)?
44
Let j be 0 + -3 + 1/6*37. Let l be (2/(-60))/((-8)/1030). Let g = j - l. Find the common denominator of 103/12 and g.
24
Let n = -2/2047 - -38899/6141. Let v = 4235/8 + -524. Calculate the common denominator of v and n.
24
Let v = 12833/60 - 1072/5. What is the common denominator of v and -105/104?
1560
Let b(z) = z - 1. Suppose -14 = 19*w - 18*w. What is the smallest common multiple of b(3) and (w/63 + (-372)/27)/(-2)?
14
Let y be (-182)/52 - (-2)/4. Calculate the common denominator of -29/62 and (-1)/y*333/(-15).
310
Let h = -152 - -276. Calculate the lowest common multiple of 4 - 40/14 - (-20 + 2680/140) and h.
124
Let w = -54323/30 + 1812. Let j = 25/5992 - -3348603/221704. Let k = j + -21185/1221. What is the common denominator of w and k?
330
Let v = -52 - -100. Let z = 89/10 - 43/20. Find the common denominator of z and 17/4*(-24)/v.
8
Let h = -15471132889085/7259310117 + -58/35069131. Let s = h - -2131. Calculate the common denominator of s and 2/39.
2691
Let z(l) = -2*l**2 + 15*l + 8. Let h be z(7). Let w be (-8)/(-20) - ((-579)/h + 0). Suppose -60 = -w*o + 34*o. Calculate the least common multiple of 30 and o.
60
Let l(n) = -n**2 - 15*n - 37. Let s be l(-11). Suppose -5*w + f + s = -3*f, 5*f = 2*w + 4. What is the lowest common multiple of 21 and w?
21
Let i be (-158748)/8064 - (3 + -4 + 5). Let x = i + 681/32. What is the common denominator of x and -113/14?
42
Let c be (-7 - (1 - 5))*-3. Suppose -c*k + 30 = -4*k. What is the least common multiple of -2*(-1 - 9/2) and k?
66
Let j = 2264 + -2084. Calculate the least common multiple of 110 and j.
1980
Let i be 22369/(-434) + 14/(490/15). Let f = -51 - i. Calculate the common denominator of -29/5 and f.
310
Let c = -6/272275 - 29127161/284255100. What is the common denominator of c and -47/174?
1044
Let x = 2918 - 2896. Calculate the lowest common multiple of 69 and x.
1518
Suppose -19*a - 22*a = -32144. What is the smallest common multiple of 15 and 2 + 15/(60/a)?
990
Let k = -217 - -143. Calculate the smallest common multiple of 7 and (94/((-2)/1))/(-75 - k).
329
Suppose 858*m = 856*m - 4880. Calculate the common denominator of 41/14 and (-5)/(m/138)*(-6)/(-9).
854
Find the common denominator of 14970/2112 + (13*-1 - (-2 + -4)) and 83/1804.
14432
Let f(m) = 91*m - 3857. Calculate the smallest common multiple of f(47) and 840.
840
Let z(w) = -21*w - 841. Calculate the smallest common multiple of z(-41) and 592.
2960
Suppose -1 = 5*v + q, 3*v - 15*q + 10*q = -23. Let o(r) = -71*r**3 - 5*r**2 - 3*r + 1. What is the lowest common multiple of o(v) and 100?
700
Let f = -3 - -8. Suppose -5*m + 10 = f*u, -5*m - 8 = -3. Suppose t = 3*h - 29, -4*h - u*t = t - 44. Calculate the least common multiple of 62 and h.
310
Find the common denominator of 25/1554 and (355/(-2))/5*(-38)/(-68894).
10878
Let s(q) = 118*q - 2618. What is the lowest common multiple of s(26) and 70?
3150
Let z = -114 - 66. Suppose 4*j = 0, 4 - 28 = i + j. Find the common denominator of -19/21 and (i/z)/((-6)/(-65)).
63
Let r(l) = 5*l**2 + 4*l - 4. Let d be r(-4). Suppose d = 5*g + 375. Find the common denominator of 6 and ((-498)/g)/(20/15).
14
Let q(i) = -2*i**2 + 54*i - 2. Let s be q(27). What is the common denominator of (s - -34*2/32)*-55 and (-202)/(-48) - 2/6?
8
Suppose -70 = -2*z + b, -7*b + 8*b = z - 35. Calculate the common denominator of -3/28 and (-7)/(z/(-25)) - 22/(-14).
28
Suppose -106*d + 103159 + 34723 = -25994. What is the lowest common multiple of 10 and d?
7730
Let w(c) = -3*c**2 + 4*c - 8. Let h(u) = u. Let n(o) = -4*h(o) - w(o). What is the lowest common multiple of n(4) and 4?
24
Suppose -4*l - 974 = -5*g, -2557 + 2735 = g + 2*l. What is the least common multiple of 30 and g?
570
Calculate the common denominator of 1/6 and 14/45*(7 + 7)*(-4)/1136.
6390
Let b = -2649 - -3991. Calculate the least common multiple of 671 and b.
1342
Suppose -20*t - 13978 = -49*t. Suppose 239 = -3*n + t. Calculate the smallest common multiple of n and 81.
81
Suppose m - 99 = 3*f, 8 = -4*f - 4. Suppose 2*p - p - 18 = -r, 5*p - r = m. Calculate the lowest common multiple of p and (15/((-150)/68) + 5)/((-14)/210).
54
Let w be ((-3)/(-6))/(2/(-4)). Let b(r) = r**2 - 49*r + 608. Calculate the smallest common multiple of b(26) and (-2 - -1)/(w/29).
290
What is the common denominator of 16/(-72)*3 - 1765/(-3510) and -23/702?
702
Let d = -26506 + 26610. Calculate the least common multiple of 688 and d.
8944
Let l = 34741 - 20334. Let j = -216188/15 + l. What is the common denominator of (336/(-128)*-1)/((-6)/(-88)) and j?
30
Let b(h) = 7*h - 8. Let r be b(-2). Find the common denominator of r*(-4)/(-32) - 2/1 and ((-184)/12)/(128/(-20)).
48
Suppose -2*y + 162 = -y. Calculate the smallest common multiple of y and 21.
1134
What is the common denominator of 28/667 and (-644)/2784 - 156/(-234)?
5336
Let f = 8717/10 - 870. Let u = 6014 + -6039. What is the common denominator of u and f?
10
Let v = -114 - -150. Calculate the common denominator of 113/48 and (6 + (-15)/(-70))*2/v.
336
Suppose -z - 121582 = -4*j, 6*j - 2*z = 9*j - 91192. Let a = j + -1823609/60. Let t = -467 - -1373/3. What is the common denominator of t and a?
60
Suppose -37*c + 2479 = -2257 - 629. Calculate the smallest common multiple of c and 174.
870
Let f = -1 - -2. Let p(c) = 7*c**2 - 2*c - 37. Let t be p(-2). Calculate the smallest common multiple of 22 and f/t + (-246)/(-30).
88
Suppose -2*i = -10 - 10. Let k be (-4)/(-14) - (-24)/(-84). Suppose 4*o - 5*o + 12 = k. What is the least common multiple of o and i?
60
Find the common denominator of (86 + -83)/((-36)/(-165)) and 61/384.
384
Let n be 444/54 - 2/9. Calculate the common denominator of ((-804)/n)/(-3) + 2 and (-46)/(-9) + 4/(-18).
18
Let w be (3247 + 256)*((-6)/8 + 1). Let q = -206625/236 + w. Calculate the common denominator of q and 43/7.
413
Let q be ((-17)/(-33) + 24/(-132))*-9. Calculate the common denominator of -117/20 and (-1 - 0)*(1364/(-344) - q).
860
Let i be 404/7 + 2/7. Suppose -i + 13 = -o. Suppose 6*j = o + 51. Calculate the smallest common multiple of 6 and j.
48
Suppose -36*i + 393 = -1059 - 2652. Calculate the smallest common multiple of (-1)/((-340)/(-2112) - 6/33) and i.
912
Suppose 0 = 107*t - 106*t - 5, -t = 4*d - 2653. Calculate the lowest common multiple of 18 and d.
5958
Suppose -6 = -6*s + 48. Calculate the least common multiple of 12 and (-9)/(162/30) + 339/s.
36
Suppose -2*v + 2 = -6, -s + 80 = v. Suppose 28 - s = -3*d. Calculate the sm