 = s**3 + 7*s**2 + 12*s + 53. Let z be o(-6). Calculate the common denominator of (-2)/z + (-36799)/19992 and 37/27.
216
Let p(s) = 4*s + 21. Let j be p(-6). Calculate the common denominator of (8/(-44) - (-716)/(-660)) + j and 8/(-10)*(-12)/(-9).
15
Suppose 0 = 23*j + 3164 - 21978. What is the smallest common multiple of j and 409?
818
What is the lowest common multiple of ((-576)/45)/(-5*(-4)/(-350)) and 6?
672
Let c(o) = 18*o**2 + 10*o - 36. What is the lowest common multiple of c(2) and 154?
616
Suppose 3*y - 4*m - 88 = 0, 5*m + 62 = 2*y + 3*m. What is the lowest common multiple of 39 and (-285)/(-4) + y/48?
936
Find the common denominator of 25/191 and (-2)/21 + (-9)/4725*335.
2865
Let d = -32 - -43. Let i(n) = n**3 - 12*n**2 + 12*n + 5. Calculate the least common multiple of i(d) and (-2)/(-3) + 16/3.
48
Let r be (-12)/(-3) + (-22 - -1). Let p = r - -17. Suppose p = -2*z - 3*z + 20. What is the smallest common multiple of z and 11?
44
Let f(u) = u**3 + 15*u**2 + 11*u - 11. Let v be f(-14). Let o = v - 17. Suppose 0 = -4*k + 6*k - o. What is the least common multiple of k and 3?
21
What is the common denominator of 57/1360 and (-6706)/816 - (-39 + -113)/19?
4080
Suppose -53382 = 4*s - a + 22891, -4*s - 76288 = 4*a. Let q = 10580 + s. Let j = q + 127261/15. Calculate the common denominator of j and -47/33.
165
Let p = 1542388 + -2467820693/1600. Find the common denominator of 41/160 and p.
1600
Let v be 3/(-60)*-4 - 269/(-5). Let x = -18739/10 + 1876. Calculate the common denominator of 51/(-34)*(-284)/v and x.
90
Let a be -6*(-452)/(-9)*(-6)/4. Find the common denominator of 111/70 and (-2 - (-43)/21)/((-8)/a).
210
Let f be (1223/244 + -5)*(-13526)/(-135). Let j = f - -14/305. Calculate the common denominator of j and 47/18.
18
What is the smallest common multiple of 5795 and 79/(-158) + (6/15)/((-24)/(-390))?
34770
Calculate the least common multiple of ((-120)/(-32) - 4)*-20 and 0 - 3 - (-4)/((-4)/(-11)).
40
Let w(c) = c**2 + 23. Suppose -60*q + 101*q - 3280 = 0. What is the least common multiple of w(-7) and q?
720
Let f(x) = -24*x - 612. What is the lowest common multiple of 42 and f(-28)?
420
What is the common denominator of ((-3724)/336 - 6/(-8))/(99/27) and 13/969?
10659
Let p(r) be the second derivative of -4*r**3/3 + 21*r**2 - 48*r. Suppose 16 = -4*u + 8*u. Calculate the least common multiple of p(u) and 22.
110
Let u be 29 - 9/(63/(-14)). Suppose 24*l + 588 = u*l. What is the least common multiple of l and 49?
588
Suppose -6*t - 762 = -0*t. Let s = -40 - t. Calculate the common denominator of -26/5 and (-1 - s/(-60))/((-21)/(-14)).
10
What is the common denominator of (-78)/(-10)*3/(-18) and 9 + 2 + 71337/(-7110)?
30
Let y = 4156227/1036 - 16047/4. Calculate the common denominator of -129/740 and y.
5180
Let u = -19 + 24. Suppose a = 3*a - 5*f - 533, 2*a - 526 = -2*f. Suppose 6*t - a = -u*t. Calculate the smallest common multiple of 18 and t.
72
Let f = 174 + -174. Suppose f = -v - 3*x + 42, -4*v + v = -x - 96. Let w = 32 + -14. What is the lowest common multiple of w and v?
198
Calculate the lowest common multiple of 928 and 4/94 + 39780/3995.
4640
Let t(y) = -y**3 - 15*y**2 - 53*y + 8. Let p be t(-6). Suppose 0 = p*g + 5*d - 44, 0 = 5*d - 4*d + 4. What is the least common multiple of g and 6?
96
Let r = -103853/33 + 3149. Find the common denominator of 119/54 and r.
594
Let w = -4 + -98. Let b = w + 124. What is the least common multiple of 4 and b?
44
Suppose -4*k = -o + 4 + 13, k = 4*o - 38. Suppose -2*z - 1 + 11 = 0. What is the smallest common multiple of (-3)/(-27) - (-206)/o and z?
115
Let l = 801077/261885 + -1/15405. What is the common denominator of l and 11/136?
136
Suppose -160 = -9*j + 7*j. Let r(o) = -2*o**2 + 54*o - 140. What is the lowest common multiple of j and r(24)?
80
Find the common denominator of (-1)/22*2278/(-17) - 7 and -83/1026.
11286
Let a(c) = -3*c**2 + c. Let h be a(-2). Let w be -185*(10/h + (-6)/21). Calculate the common denominator of (3 - 1)*(0 + w/(-160)) and -61/6.
48
Let u = 11999 + -11591. Calculate the least common multiple of u and 1088.
3264
Let w(d) = 2*d + 18. Let a be w(-2). Calculate the least common multiple of (1 - -3)/(4/a) and 24.
168
Calculate the smallest common multiple of ((-4)/(100/(-25)))/(3/72) and 684.
1368
Suppose 14 = h + 14. Suppose -b + 150 = 3*a, 4*a = -2*b - h*b + 296. Calculate the lowest common multiple of 11 and b.
1584
Suppose 3*x + 301 = -2*g + 37, 0 = -3*g + 3*x - 426. Find the common denominator of 2/(-13 - 9529/(-715)) and 0 - g/(-81)*-3.
9
Let j(s) = 130*s**2 - 74*s + 144. What is the lowest common multiple of j(2) and 96?
4128
Find the common denominator of -41/8 and 115/1595*(-12 + 2717/234).
22968
Suppose -3*b = -8*b + 525. Calculate the least common multiple of 155 and (1200/b)/((-4)/(-14)).
1240
Let f = -2316708289 + 128320155441661/55389. Let s = 61/499 - f. Calculate the common denominator of -39/4 and s.
444
Let s = 7346 - 257129/35. Calculate the common denominator of (30/75)/((-2)/(-11)) - -4 and s.
35
Suppose -40*t = -47*t + 35. Suppose 10 = -t*n + 4*p + 63, 3*p + 24 = 2*n. Suppose -4*g + 6 = -18. Calculate the smallest common multiple of n and g.
18
Let d be (-4)/(-14) + 3081/21. What is the common denominator of -4 + 164/40 - (-116)/90 and 10/(-65) + d/(-312)?
72
Find the common denominator of (54/198 - (-11874)/(-1188))*3/165 and 106/315.
6930
Suppose -6023 = -39*i + 2869. What is the smallest common multiple of i and 54?
2052
Let h = -2183017/3 + 1161282505/1596. Let l = h - -1043/19. Calculate the common denominator of l and 67/8.
56
Suppose -2 - 34 = -4*u - 4*t, 3*t = 3*u + 3. What is the lowest common multiple of u and 12?
12
Let l = -1721440513/228 - -7550193. Let k be ((-1)/76)/(129/215). Let r = k - l. What is the common denominator of 37/5 and r?
15
Let q = 217526/346689 + -5/11006. What is the common denominator of 17/60 and q?
1260
What is the common denominator of 58/2385 and (-1 - (1 + -12)) + 13923/(-1020)?
9540
What is the common denominator of (-4)/14 - 406900/(-1736280) and 1/54?
2862
Let q = 7 - 2. Suppose -2*z + z = -q. Calculate the smallest common multiple of z and 39/9 - (-1)/((-15)/(-25)).
30
Find the common denominator of (-4 - (-73821)/18585)*(-395)/158 and 74/531.
7434
What is the least common multiple of (-1197)/684 - 259/(-4) and 72?
504
Suppose 4*f - 22 + 6 = -4*u, -3*f = 5*u - 16. Let j = 203 - 201. Suppose -4*c - j*t = -14, 5 + 11 = 5*c + 4*t. Calculate the lowest common multiple of c and u.
4
What is the least common multiple of 72/(-84)*14 + 546 and 712?
2136
Suppose 0 = 5*d - 42 - 58. Let s be d + (-2 - 0/5). Let c(h) = 4*h - 52. What is the smallest common multiple of 14 and c(s)?
140
Suppose 10*y - 5*y = 10. Suppose -y*l = -5*i - 1, -3*i = -0*l - 3*l + 15. Let o(s) = s + 16. Calculate the least common multiple of l and o(-2).
56
Let o(z) = 293*z + 29. Let i be o(3). Let s = i - 10951/12. What is the common denominator of -17/88 and s?
264
Let i(w) = 126*w**3 - w**2 + w. Calculate the least common multiple of i(1) and -7*((-2025)/105 - -19).
126
Let p(l) = -3*l - 24. Let a be p(-9). What is the least common multiple of 111 and ((-6)/5)/a - (-407)/55?
777
Let d be 4/(-14) - 5/((-105)/69). Suppose -130 = -d*n - 58. Calculate the least common multiple of n and 12.
24
Let j be (-302)/(-10) - 4/(-5). Let z = j + 6. Let k = 39 - z. What is the least common multiple of 16 and k?
16
Suppose -37*w + 802 = -123. Calculate the least common multiple of 5995 and w.
29975
Let u = 2/97899 + -9104639/1566384. Find the common denominator of u and 59/48 - 2/(-6).
16
Let q(m) = 5*m**2 + 34*m + 128. Calculate the smallest common multiple of 1144 and q(-12).
5720
Let q = -4336 + 4932. Calculate the least common multiple of q and 8.
1192
Let o = 281 - 281. Suppose o = -4*k - 81 + 97. What is the smallest common multiple of k and 1?
4
Let v = 40991/3 + -13647. What is the common denominator of -44/357 and v?
357
Let i = -2/35675 - 2033459/285400. Calculate the common denominator of i and (-4)/(-6) - 193/(-48).
16
Calculate the least common multiple of 43 and 84/126 - 12/(-9).
86
Let i(k) = 69*k - 142. Let n be i(27). Let u = -13689/8 + n. Find the common denominator of -59/134 and u.
536
Let j be 64/(-36) + 8/(-36). Find the c