107. Let n be o(3). What is the common denominator of (-120)/48 + (-1396)/n and -53/8?
248
Let l(u) = -u**3 - 5*u**2 - 8*u - 10. Let d be l(-5). Suppose 0 = -35*b + d*b + 190. Let z = b - 30. Calculate the lowest common multiple of 33 and z.
264
Let x(k) = -118*k - 20. Let q be x(2). What is the lowest common multiple of (-4928)/q + 6/8 and (2/(-5))/(3/(-270))?
180
Let b = -488841/20 + 24445. Find the common denominator of 145/8796 and b.
43980
Let r(k) = -k - 7. Let p be r(-10). Let q = p + 3. Suppose 2*g - 3*z - 9 = 0, g + 33 = q*g + 3*z. Calculate the lowest common multiple of 6 and g.
6
Let n be (-6)/48*-4*306 + 3. Let g = 177 - n. What is the least common multiple of 12 and g?
84
Suppose -6*n + 46583 = -35011. Let h = -326449/24 + n. What is the common denominator of h and 17/24?
24
Suppose 5*r = 15, 2*r - r = -a + 1. Let p(q) = 9*q + 4. Let d be p(a). Calculate the common denominator of 4/(144/(-21))*d and -77/6.
6
Let n(r) = r + 17. Suppose 8 = 15*m - 7. Calculate the lowest common multiple of 12 and n(m).
36
Suppose 0 = -q + 5, -4*q + 43 = 2*y + 17. Let k be y/45*(-382070)/(-5). Let u = k - 5098. Find the common denominator of u and -149/18.
90
Let b be 6 + 10/4*6/(-5). Let r(o) = -3*o + b*o**2 + 3 + 8*o - 8*o. What is the lowest common multiple of r(2) and 8?
72
Let z(y) = -2*y**3 - 24*y**2 + 19*y. Let b be z(-11). Let v = b - -835/2. Calculate the common denominator of v and -83/148.
148
Let a = 7496298259/4417 - 1697147. Find the common denominator of 1/6310 and a.
44170
Let y = 172859/55 - 3143. Find the common denominator of y and -53/33.
165
Suppose -h + 6 = 3*t - 0*t, -3*h = -5*t - 46. What is the least common multiple of 1652 and h?
4956
Let a = -6/221 + -2311/4420. Find the common denominator of -115/18 and a.
180
Let o = 12889/70 - 1291/7. What is the common denominator of 53/825 and o?
1650
Suppose -4*y - 21 = 3*i, 5*y = 3*i - 0*i - 6. Find the common denominator of 6 + (-6 - i) - (-1724)/(-360) and 103/198.
990
Calculate the lowest common multiple of 11 and 1595 + (-35 - 72/(-3)).
1584
Let c be 10/25 - (-6193)/(-20). Let r = -905/3 - c. What is the common denominator of r and (322/20)/7 - 5?
60
Let l(p) = p**2 - 6*p - 6. Let n be l(6). Let d = 7516 + -7483. Find the common denominator of 13/12 and n/d - (-230)/297.
108
Let u be (-108783)/(-168) - (-6)/(-16). Let z = 262523/406 - u. What is the common denominator of z and -17/6?
174
Let j(t) = 10*t**2 + 7*t + 69. Let z be j(-9). Suppose -u - 780 + z = 0. What is the least common multiple of 21 and u?
252
Suppose -b + 1271 = 2*o, -o + 649 = 32*b - 27*b. What is the lowest common multiple of 58 and o?
18386
Suppose 0 = -4*k - 12, 0 = 5*u + 4*k - 8. Let f(t) = -2037 + 2*t + t**3 - 2039 + 4071 - 4*t**2. Calculate the least common multiple of 18 and f(u).
18
Let g(h) = 9*h - 1. Suppose 63*d = 59*d + 12. What is the least common multiple of g(d) and 6?
78
Suppose 0*y - 6*y = -72. Let d = 3 - 87. Let m = d - -100. What is the lowest common multiple of y and m?
48
Let v = 315/2 - 147. What is the common denominator of v and ((-20)/(-30))/((-4)/6 + 15960/7740)?
90
Let k(q) be the first derivative of q**3/3 + 15*q**2/2 + 9*q - 9. Let g = 144 + -114. Calculate the smallest common multiple of g and k(-15).
90
Let k(y) = 26*y**2 + y. Calculate the common denominator of k(1) and 65200/267300 - (-12)/(-44).
243
What is the common denominator of 3 + (33362/(-10836) - 0) and 68/387?
774
What is the common denominator of (-6)/(-110)*(-72)/27 and -31*((-88)/200)/11?
275
Let l = -6887 - -6898. Calculate the lowest common multiple of 477 and l.
5247
Let d(t) = -t**2 + 23*t + 48. Let p be (-4)/(-7) - 240/(-21). Suppose -p*w = -4*w - 192. What is the least common multiple of 8 and d(w)?
24
Suppose -3*t + 13*j - 49 = 15*j, 3*t - 4*j + 37 = 0. Find the common denominator of t/(-14 + 17) - (-49)/6 and (4/114)/((-2)/(-30)).
114
Let r(l) = -3*l - 16. Suppose 5*c = -j + 44, -112 = -5*j - 0*c + 2*c. Calculate the lowest common multiple of r(-12) and j.
120
Suppose c = -0*c + 90. Let a = -1414 - -1404. Calculate the common denominator of 11/8 and 2/a + (-442)/c.
72
Let q = -646183/39 - -16570. Find the common denominator of 6/3 + 6/(-2) and q.
39
Let g be (-4)/(-1) + 6313/(-1578). Let k = 16577/12624 + g. Find the common denominator of k and -53/42.
336
Let s = 63129 + -5302727/84. Find the common denominator of -5 + (14 - (-4236)/(-336)) and s.
84
Let y = -2/12757 + 318929/25514. Find the common denominator of -83/6 and y.
6
Suppose y = 138 + 266. Suppose -l + 43 = -a + 142, -4*l + y = 4*a. Calculate the smallest common multiple of 16 and a.
400
Suppose -3*p + 44 = -p. Calculate the lowest common multiple of (84/(-98))/(36/(-4620)) and p.
110
Suppose 29*c - 2346 = -5*d + 26*c, -c - 474 = -d. Let x = 491 - d. Calculate the smallest common multiple of 10 and x.
20
Suppose -2370 = 339*c - 109*c - 20770. Calculate the lowest common multiple of c and 688.
3440
Suppose 0 = m + n - 29, 22 = -3*m + 3*n + 91. What is the common denominator of 11/16 and (-102)/(-4)*m/(-2730)?
560
Calculate the common denominator of -35/251 and 32/28 + 1060/224.
2008
Let z = -16241817543 + 747448443437087/46020. Let u = z - 4/2301. Find the common denominator of u and -107/14.
140
Let k = 11613 + -325071/28. Calculate the common denominator of (6/4)/((-117)/177) and k.
364
Calculate the smallest common multiple of 650 and (1 - (-7)/(-4)) + -9*(-1236)/432.
650
Let w = 2/79585 - -792432/136010765. Find the common denominator of 109/10 and w.
17090
Suppose 4*x + 151 = -2*y - 69, 5*x - y = -261. Let m = 71 + x. Calculate the smallest common multiple of m and 84.
252
Suppose -k = -411 + 870. Let j = -3225/7 - k. Calculate the common denominator of (-45)/8 + (4 - 4) and j.
56
Suppose -476 = 5*o - 311. Suppose -96 - 99 = 5*q. Let c = o - q. What is the smallest common multiple of c and 19?
114
Let l = 350633/1634560 + -245/1277. Calculate the common denominator of -33/2176 and l.
21760
Let v = 1137483/100180 + -22/5009. Let c = 338/7 + -1739/35. Let m = v - c. Calculate the common denominator of -37/3 and m.
12
Let c be 5 + (-3 - (-264628)/(-46233)) - -3. Let l = 88/467 + c. Calculate the common denominator of l and 53/11.
99
Suppose -74 = 7*v + 129. Suppose 0 = 5*c + a + 2*a - 55, -a = 0. Calculate the common denominator of -4 + v/(-7) - (-279)/7 and c.
1
Let x = 4/13067 + -7069943/2273658. Let o = 8/29 + x. Find the common denominator of -71/12 and o.
12
Let c = 12187997/2750 - 4432. Let p = 13095/3101 + -2311464/4263875. Let m = p - c. Find the common denominator of 17/20 and m.
220
Let l = -19 + 34. Suppose -4*n + 24 = 0, 3766*y = 3764*y + 4*n - 8. Calculate the least common multiple of l and y.
120
What is the common denominator of 22/355 and (42/630)/((-213)/216)?
355
Let b(r) = 32*r**2 + 38*r - 112. What is the lowest common multiple of b(6) and 5072?
5072
Let l = -10/1121 + -99749/2242. Find the common denominator of l and 11/1632.
1632
Suppose 4*y - 5*l = 38200, 9541 = 5*y - 4*y + l. Let r = y + -210029/22. Find the common denominator of r and (-55)/322 - 2/7.
506
Let y = -2936/3 - -1941/2. Suppose 0 = 4*v - 3*v + 35799. Let h = 859297/24 + v. Find the common denominator of y and h.
24
Let t = 3051 - 2543. Calculate the smallest common multiple of t and 20.
2540
Let b = -115 - -119. Suppose 0 = 5*x + 20, 22 = j + 3*x - b*x. Let y = 46 + -31. What is the lowest common multiple of j and y?
90
Let t = -3263 - -20796. Let r = -245577/14 + t. Find the common denominator of -5 + 5 - 142/(-4) and r.
14
Let f = 1180364/47 - 602816647/23970. Let q = f - -548/17. Find the common denominator of 1/15 - ((-57090)/(-200))/33 and q.
60
Let h(g) = -2*g - 5 + 4 - 19. What is the least common multiple of (-5 + 2)/(6/(-20)) and h(-15)?
10
Let i be (118504/220 - -7)/(-1 - 7). Let w = i + 761/11. What is the common denominator of 91/100 and w?
200
Let s = 23102 + -6907464/299. Calculate the common denominator of s and 49/10.
2990
Let i = 2716 - 143. Let s = -1403 + i. Suppose -7*z = -2*z - s. What is the smallest common multiple of z and 2?
234
Let l = 46597/40 + -1165. Let o = 213853/9 + -23767. Find the common denominator of l and o.
360
Let d be (-6)/(-8)*144/(-54). Find the common denominator of -8/31 and (104/12)/(d/4).
93
Let p(f) be the t