 45. Let l be c(-10). What is the smallest common multiple of 27 and l*2 - (-3)/(3/13)?
135
Calculate the common denominator of -32/105 and (-1)/3 + (-28958)/(-5460) - 40/8.
2730
Let k = 176 - 512. What is the common denominator of (-426)/k*(-4)/(-9) and 91/18?
126
Let q(y) = -y**3 - y + 15. Let p be q(0). Suppose 3*k - 2*k - i = p, 3*k + 3*i = 63. Calculate the smallest common multiple of 18 and k.
18
Let d = -11855920/117 + 101332. Calculate the common denominator of -37/54 and d.
702
Suppose 24200 = -493*v + 537*v. Calculate the smallest common multiple of v and 30.
1650
Find the common denominator of -17/1878 and (-3 - (-441)/165)/((-10)/(-150)).
20658
Let s = 39 + 6. Let y be 18/s*(-52270)/(-448). Let t = 335/7 - y. Calculate the common denominator of 93/28 and t.
112
Let k = 125735/48 + -2620. Calculate the common denominator of (3 + -1 - 1) + -17 + (-1650)/(-135) and k.
144
Calculate the common denominator of 77/134 and (222/9 - -1)*(-16)/(-3216).
1206
Suppose 54 = 3*g + 4*t - t, -3*t + 22 = g. Suppose 3*h + 2*a - 54 = 5*a, -g = 4*a. Calculate the common denominator of (((-28)/(-30))/h)/(4/702) and -127/42.
210
Suppose 2*o + 2*v = 3*v - 4, 5*o + v + 3 = 0. What is the common denominator of 53/15 and -2*o/15 - (-868)/(-420)?
15
Let i = -76217717162/224119 - -340077. Let r = 24428779/43030848 + i. Find the common denominator of -64/9 and r.
576
Let s be (-270)/(-81)*(-6)/(-4). Suppose r - 2*y - 15 = 22, 0 = s*r - 4*y - 155. Calculate the smallest common multiple of 2 and r.
54
Let p(m) = -6*m + 3*m + 4 + 2*m. Let b(r) = -r**3 - 6*r**2 - 6*r - 5. Let f be b(-5). What is the smallest common multiple of 14 and p(f)?
28
Let r = 5587 + -4536. What is the least common multiple of 8 and r?
8408
Let b be -288*39/806*(-6)/4. Let v = 83251/3999 - b. What is the common denominator of -49/15 and v?
645
Let o = 61 + -56. Suppose 0 = 4*y + d + o, 15 = 5*y - 3*d. What is the least common multiple of ((-80)/6 - y)*(-24)/20 and 8?
16
Let w = -146/13 - -45857/4082. Find the common denominator of 50/3 and w.
942
Let q be (-10)/6 - ((-8)/3 + 0). What is the common denominator of 115/6 and (4/q - 3)/((-168)/484)?
42
Let i be (-2)/4*-1*1866/(-27). Let h = i - -33. What is the common denominator of h and -115/24?
72
Suppose -6 = -y + 379. Let h = 3075/8 - y. Calculate the common denominator of h and -127/6.
24
Let f(j) = -6*j**2 + 5*j + 21. Let n be f(11). Let v = n + 340. What is the common denominator of -1 + v/20 + 2/8 and 20?
4
What is the common denominator of (6/(-140))/((-57)/247) and -7/40?
280
Suppose 5*v - 94830 - 31530 = -34*v. Calculate the lowest common multiple of 136 and v.
55080
Let p(w) = -2*w**2 + 53*w - 32. Let m be p(14). Suppose -5*r - 8*g + 3*g + 530 = 0, 0 = -3*r + 3*g + m. Calculate the lowest common multiple of r and 5.
530
What is the least common multiple of 20 and 1006/(14/(-3080)*-22)?
10060
Let d be (11/(-11))/(2/(-10)). Suppose 1520 = -4*k - 3*y, -d*k + 5*y - 1809 = 91. Let z = 3793/10 + k. Calculate the common denominator of -52/5 and z.
10
Let l be ((-1458)/63)/(-3) + (-2)/(-7). Find the common denominator of -12/5 and (1602/48)/((-6)/l).
10
What is the common denominator of 24/108*1991/(-440) and -37/10?
180
What is the common denominator of 61/248 and (-9660)/(-12144)*4/(-14)*15?
2728
Suppose -6*g - 9 = -9*g. Suppose 2*r = 5*q + 7*r + 25, -19 = 5*q + g*r. Let h = 22 + q. What is the lowest common multiple of h and 6?
60
Let k = 110 - 100. Let c be 2/(4*(-4)/(-32)). Suppose 5*l = l + c. What is the lowest common multiple of l and k?
10
What is the lowest common multiple of 80 and ((-7)/(21/810))/((-6)/8)?
720
Find the common denominator of (-7)/84*24/(-210)*(-27)/(-6) and -29/205.
2870
Let h(g) = -g**3 - 14*g**2 - 15*g - 22. Suppose -168 = -2*f - 194. What is the lowest common multiple of 80 and h(f)?
80
Let d = -6/1073 + 41895/8584. Find the common denominator of d and -3/17912.
17912
Suppose 2*x - 5*x = -3*l + 42636, 0 = -4*x - 12. Let a be (l/(-3) - 2)*(-9)/(-21). Let c = a + 2027. Calculate the common denominator of 53/7 and c.
7
Let h = 3 - 5. Let u = 71/7 + h. Calculate the common denominator of (2047/890)/(-1*(-12)/45) and u.
56
Suppose 0 = 2*i + 4*s - 76, -3*i - 159 + 257 = 2*s. Calculate the least common multiple of 756 and i.
3780
Let r = 6674 + -6673. Calculate the lowest common multiple of r and 2606.
2606
Suppose -16 = -7*x + 3*x. Suppose 4*o - 396 = 3*z, x*o - 106 = z + 282. Let w = o + -393/4. Calculate the common denominator of w and -25/11.
44
Suppose -7*g = -b - 3*g + 10, -2*b + 40 = -4*g. Suppose 4*a - b = 2*a. Calculate the least common multiple of 20 and a.
60
Let k = 1540 + -1452. Suppose -k = -10*x + 22. Suppose 0 = 5*j - 13 + 3. What is the lowest common multiple of x and j?
22
Let m be (1 + -7)/((-9)/(-240)). What is the lowest common multiple of 132 and (-16)/m - (-119)/10?
132
Let k = 7630943/283 + -53929/2. What is the common denominator of k and 10/2547?
5094
Suppose -144*b - 3*b = 396 - 2748. Calculate the least common multiple of 10348 and b.
41392
Let k be (9/4)/3 - 22209/(-132). What is the common denominator of -22/45 and k/140 + 1*(-1)/(-4)?
315
Let j(w) = -w**3 - 23*w**2 + w + 23. Let g be j(-23). Suppose 4*n - 49 = -y, -2*y - 1 + 11 = g. Let l = 12 + -4. Calculate the least common multiple of l and n.
88
Let h = 3151/2 - 1536. Suppose -4*c + 3*r = 2, 0 = 4*c - c - 4*r - 2. What is the common denominator of h and (c/(-4))/(9/(-105))?
6
Let w = -1/1886 + -112181/67896. Let p = 6928 + -55383/8. What is the common denominator of p and w?
72
Let s = 94450817/384 + -245966. Calculate the common denominator of 131/84 and s.
2688
Let x be (24265/(-15))/((5/30)/1). Calculate the common denominator of x/(-9660) - 6/(-15) and 109/18.
126
Let f = -8/6449 - 315041/773880. Let t = -8641/276 - -768/23. Calculate the common denominator of f and t.
120
Let t = 1629 + -1317. What is the smallest common multiple of t and 351?
2808
Let j = -921 - -1220. What is the lowest common multiple of j and 11?
3289
Calculate the common denominator of 11/18 and 0 - (341/5181 - 0).
2826
Let g = 46651/27 - 1729. Suppose -10 = 2*d + 22. Calculate the common denominator of -82*6/d*56/378 and g.
27
Let b = -11720/3 - -78101/20. Calculate the common denominator of b and -143/870.
1740
Suppose -u = 2*u - 27. Suppose 0 = f + 4949 - 4961, 5*s + 5*f = 330. Calculate the least common multiple of u and s.
54
Suppose -86*l + 269327 - 37007 = 90*l. What is the least common multiple of 16 and l?
2640
Let u(g) = 16*g - 88. Let z(t) = -t - 1. Let w(l) = -u(l) - 12*z(l). What is the least common multiple of w(19) and 32?
96
Suppose -3*z + 5*z + 100 = 0. Let d = z - -53. Suppose -2*h - 164 = -3*o, 6*o - d*o - 189 = -3*h. What is the lowest common multiple of 6 and o?
174
Let p = 306/35 + -3919/140. Let o = -183425207/6 + 850726009879/27828. Let c = 56/773 + o. Find the common denominator of p and c.
36
Suppose -2*o - 18 = -2*a, -a + 2*o = -0*a - 14. Let x = 160 + -232. Let z = -64 - x. What is the smallest common multiple of z and a?
8
Let b = 921 + 4106. Let g = b - 180953/36. Find the common denominator of -101/24 and g.
72
Suppose -5*w + 1989 = 4*t + 681, -t - 3 = 0. What is the smallest common multiple of w and 231?
1848
Let q(m) = -m**2 - 15*m - 43. Let w be q(-5). Calculate the common denominator of 151/24 + (w - (24 - 12)) and -41/24.
24
Let h be -48 - -47 - 1*3. Suppose 5*r - 134 = -4*i, 6*r - 5*i = 2*r + 140. What is the lowest common multiple of r and 1 + 5/h + (-1377)/(-68)?
60
Let j(s) = -s**3 - 11*s**2 + 30*s - 9. Let a be j(-13). Let i = a - -103. Calculate the common denominator of i*(-6)/(-40)*1/(-3) and -123/20.
20
Let n be 3411/(-7) + 38/133. Let r = 496 + n. What is the least common multiple of 30 and r?
90
Let c(d) = -36 - 26*d - 21*d + 50*d. What is the smallest common multiple of c(14) and 36?
36
Suppose 11 = -2*j + 51. Suppose 2*s - 22 + j = 0. What is the least common multiple of 23 and s?
23
Let s = 3138 + -2168. Calculate the smallest common multiple of 582 and s.
2910
Let w be (-1 + (-12)/(-10))*-3*-5. Let x be 144/(-45) + w/15. Calculate the common denominator of -65/22 and 103/(-18) + 1/x.
198
What is the lowest common multiple of 4 and (-346)/1211 - (-1686)/21?
80
Let a = 2789 - -19099. What is the least c