8680
Let m be (-3 + 4)/(2/42). Calculate the common denominator of (270/(-32))/3 - ((-275)/(-40) + -7) and 1066/(-56) + 6/m.
16
Let z = -285680035259/111 + 2573728133. Let q = -34122 + z. Calculate the common denominator of -70/33 and q.
1221
Let y = -613729/8 + 76705. What is the common denominator of (-236)/(-360)*6/(-4) and y?
120
Let i(v) = 13*v**2 + 3*v + 2. Let c be i(2). Let w be 8/(-60) + 8/c. Suppose w = -4*x - 3*x + 252. What is the lowest common multiple of 15 and x?
180
Let s(q) = q**3 - 22*q**2 - 77*q + 72. What is the lowest common multiple of s(25) and 30528?
335808
What is the lowest common multiple of 2100 and -20*((-3)/2 + (-287)/70)?
8400
Suppose -2*k = -d + 1522, 3*d = -k + 1907 + 2624. Calculate the lowest common multiple of 20 and d.
7560
Suppose 5*j - 271 = -56. Let v = 69781/3 + -22915. Let u = v - 703/2. Find the common denominator of u and j.
6
Let n(j) = -153*j - 234. Calculate the lowest common multiple of n(-10) and 288.
2592
Suppose 14 = 5*m - 76. Suppose 3*y - 8 = -4*k, 3*k - 3*y - 6 = -0*k. Calculate the least common multiple of k and m.
18
Let l = -120 - -66. Let p be 24/l + 80495/(-360). Let m = -2617/12 - p. Calculate the common denominator of 51/16 and m.
48
Suppose 16*x - 11*x + 3*z - 99 = 0, 5*x - 148 = 4*z. What is the lowest common multiple of 9120 and x?
9120
Let i = -16 - -20. Calculate the common denominator of 24/(-144)*(-2 + (-286)/i) and 76/21.
84
Let b = 837/10 - 25879/310. What is the common denominator of -77/75 and b?
2325
Let d = 123 + -43. What is the lowest common multiple of 610 and d?
4880
Suppose -4*t - 5*v - 55515 = 0, 10*t + 4*v = 8*t - 27762. Let w = -166381/12 - t. Calculate the common denominator of w and (1*(-1)/(-3))/(-6).
36
Let h(x) = -x**3 - 7*x**2 + 51*x - 64. Let o be h(28). Let w = 1642721/63 + o. Calculate the common denominator of w and -71/90.
630
Let z = 23345 + -700279/30. Let i be (-12177)/(-8) - (-2)/(-16) - -5. Calculate the common denominator of i/(-360) + (-5)/(-25) and z.
120
Let x = 38 + -37. Suppose 2 = -o - 1. Find the common denominator of o + ((-26)/(-32))/x and 41/16.
16
Let h = -910304738680716127/27352620 + 17971392214249/540. Let n = h + 126/50653. Let y = n + -6981. Find the common denominator of -107/6 and y.
18
Let x(p) = -1057*p + 7405. Let l(r) = -r**3 - 7*r**2 + 7*r + 9. Let h be l(-8). Suppose 3*g - 41 + h = 0. Calculate the smallest common multiple of g and x(7).
24
Suppose -4*j = g + 156, 0 = -2*j + 4*g - 125 + 29. Let h = 312649/22 - 14209. What is the common denominator of 2/(-3)*(-378)/j and h?
110
Calculate the lowest common multiple of -18 + (-17708)/(-19) - (-2 + 4) and 112.
6384
Suppose 4*u - 4*z - 80 = 0, 56*u + 2*z = 60*u - 68. Calculate the lowest common multiple of u and 182.
182
Let u = -622 + 633. Suppose 141 = 4*o + 3*x, o = 5*x + 30 + u. Calculate the smallest common multiple of o and 60.
180
Let u = 520685/18 + -28935. Find the common denominator of (0 - (-2)/258)/((-33)/(-198)) and u.
774
Let g be 70832/(-64)*(-6)/24. Let w = -541/2 + g. Calculate the common denominator of 478/168 - 1 - 1 and w.
336
Let n = -8760 + 175257/20. What is the common denominator of 31/139 and n?
2780
Let r(q) = 4*q + 3. Let p be r(-3). Let a = -1339 - -1337. What is the common denominator of (93/(-45))/((-3)/p) - a and 31/7?
35
Let p(c) = 76*c - 512. What is the smallest common multiple of p(7) and 522?
5220
Let z = 1148 - 1048. Calculate the smallest common multiple of 120 and z.
600
Let z = 7581308399/3096 + -2448743. Find the common denominator of z and 83/252.
21672
Let f = -212 + 833/4. Let p = -5/493 + -28957/12818. Find the common denominator of p and f.
52
Let r = 2/507143 + -3405463/91285740. Find the common denominator of -83/10 and r.
1260
Let s(h) = -h**3 + 6*h**2 - 10*h + 10. Let j be s(4). Calculate the common denominator of j/(-9) + (-1729)/(-585) and 27/40.
120
Let b = -1/1205946 - -43800561697/4823784. Let r = -9068 + b. Find the common denominator of 44/157 and r.
1256
Suppose 13*i - 16*i = -921. Let h = 395 - i. Calculate the smallest common multiple of 80 and h.
880
Suppose -3*y + g + 406 = 0, 5*y = -g + 5*g + 679. Let i = -137 - y. Let o = i - -1364/5. Calculate the common denominator of o and 4/7.
35
Let y = 159 + -159. Let x(l) = 2*l**3 + 2*l**2 - 2*l + 4. Calculate the common denominator of 21 and x(y).
1
Let k = -808/3 + 8738/33. Calculate the common denominator of (-6)/27 + (-1349)/(-441) - 4 and k.
539
Calculate the smallest common multiple of 6 and (76/(-16) - 4)*((-48)/(-6))/(-2).
210
Let c(s) = -515*s - 60. Let t be c(-3). What is the common denominator of 1431/t*(-5)/4 and -115/24?
264
Suppose -144 = 2*c - 18*c. Let a = -34 + -520. What is the common denominator of 91/8 and a/132 + (-6)/c?
88
Let b = -177 + 1419/8. Let f be (-2 - -4) + (-718566)/60. Let v = f + 11962. Calculate the common denominator of v and b.
40
Suppose -200*r - 3*s = -197*r - 123, -2*r + 5*s + 103 = 0. What is the least common multiple of r and 524?
5764
Calculate the common denominator of ((-6)/15)/(((-8320)/(-166))/(-13)) and 41/400.
800
Let r = 38376245/168 - 228431. Calculate the common denominator of 89/308 and r.
1848
Let t = 2/620335 - 4358729/5081784320. Calculate the common denominator of -11/4 and t.
8192
Suppose -5*g + 740 = 5*o, -2*o = -21*g + 22*g - 149. Let t(m) = 30*m**2 - 4*m - 4. What is the least common multiple of g and t(-1)?
1470
Let m = -9056 + 4359. Let i = 42208/9 + m. Let w = -7575 + 272605/36. What is the common denominator of i and w?
36
Let g = -43943 + 6283853/143. What is the common denominator of -65/1364 and g?
17732
Suppose 0 = -98*p + 97*p. Suppose -21*q + 496 + 29 = p. What is the lowest common multiple of 10 and q?
50
Let j(k) = -2*k + 1. Suppose -5*v + 4*d - 7 = -2*v, -3 = -v - 4*d. Calculate the least common multiple of j(-1) and (1 - -9)*(v + 22/10).
12
Suppose -386 = -27*h - 6245. Let f = -23 + 41. What is the lowest common multiple of 7/((-49)/(-464)) - (-62)/h and f?
198
Suppose 9*j - 8 = 28. What is the least common multiple of 1 + (-32)/(1/(-1)) and (-144)/120*(-10)/j?
33
Let v = 2672 + -1146. Let k be 10/45 - v/(-180). Let r = -119/5 - k. Calculate the common denominator of 5/18 and r.
18
Let q = -58 + 122. Suppose 493*r + 288 = 497*r. Calculate the lowest common multiple of r and q.
576
Suppose -2*l + 5 = 2*q - 13, 0 = -2*l + 4*q + 36. Let y = 19 + -24. Let c(s) = -3*s - 1. What is the smallest common multiple of c(y) and l?
84
Let m be (-3 - 8694)/(77/(-14) - -7). Let u = m - -255047/44. What is the common denominator of u and 39?
44
Suppose 2*k = 7*k - 3*l - 41, 3 = -k - 5*l. Let c = 4 - k. Calculate the common denominator of -56/9 and 129/c*(-2)/4 + -3.
18
Let p = 29 - 1. Let k = 69 + -78. Calculate the lowest common multiple of 31 - (k + 5)*(-3)/4 and p.
28
Let j = 30 + -28. Let d be j/4*-1 + (-943)/82. Let u = 2 - d. Calculate the least common multiple of u and 18.
126
Let n = 30432 + -6208183/204. What is the common denominator of 33/1972 and n?
5916
Let w be -1 + (-7)/(-5) + (-73546511)/(-411160). Let h = -189/541 - w. Let z = 4021/24 + h. Find the common denominator of 91/12 and z.
12
Calculate the common denominator of 25/1254 and (-1 + 2)/(112176/(-2378)).
15048
Let g be (1 - 19/35)*(-16)/(-32). Let a = 15/14 + g. Find the common denominator of 0 + 26/16*10 and a.
20
Let c = -5067 - -5727. What is the least common multiple of 10 and c?
660
Let b(o) = -5*o - 10. Let p be b(10). Let j = -52 - p. Calculate the smallest common multiple of ((-6)/9)/((-1)/18) and j.
24
Let u(t) = t**3 - 7*t**2 + 23. Let o be u(7). Suppose o*s - 36 = 14*s. What is the least common multiple of 12 and s?
12
Let d(i) = -2*i**3 - 40*i**2 - 16*i + 80. Calculate the lowest common multiple of 55 and d(-20).
4400
Let n = 133 + -135. What is the least common multiple of (-2*(-3)/6)/(-1 - n) and 5 - (1 + -1 + 1)?
4
Let c be -26*(-1)/(-2)*(-2446)/8. Let y = c - 66039/20. Let n = -662 + y. What is the common denominator of n and 77/2?
10
Let r = 4738 - 284311/60. Find the common denominator of -74/759 and r.
15180
Let k(j) = -2*j**2 + 195*j + 2952. Calculate the smallest common multiple of k(100) and 4.
2452
Let u(q) = -12*q**2 - 1899*q - 417. What is the smallest common multiple of u(-157) and 342?
5814
Let f = 8793 - 8183. Wh