11 = 13*q. Let v = q - 121. Calculate the smallest common multiple of 10 and v.
510
Let r be 16/7 + 6/(-21) + 163. Let f be ((-2)/4)/((-4)/(-1584)). What is the common denominator of ((-134)/(-5) + 1)/(f/r) and 49/38?
114
Let l(d) = -d**2 - 10*d + 99. Let t be l(-16). Suppose -t*m + 24 = 3*h, -16 = -m - 9*h + 4*h. What is the least common multiple of 2 and m?
6
Let n(h) = -2*h**3 + 5*h**2 - 51*h - 168. Calculate the lowest common multiple of n(-6) and 14.
5250
Let y(z) = -z**2 - 47*z - 31. Let j be y(-28). Let v = 521 - j. Calculate the lowest common multiple of v and 124.
620
Let r = 6062/9 + -48787/72. Suppose -x + 0 = 2*c - 5, -8 = 2*x - 5*c. What is the common denominator of x/((-107)/(-92) + (-4)/16) and r?
168
Calculate the smallest common multiple of (-3)/((-54)/(-4)) - 10874250/(-2187) and 339.
14916
Let f = -589853/34 + 17347. Let c = 44021/10 - 4410. What is the common denominator of c and f?
170
Let s(c) = 51*c - 1163. Suppose 2*g - 37 + 15 = 0. Calculate the lowest common multiple of g and s(23).
110
Suppose -29784 - 6936 = -816*l. Suppose -3*q + 0*q + 45 = 0. Calculate the lowest common multiple of l and q.
45
Let t be (20 - 11) + 1*2. Let p be (-1576)/28*t/(-2). Let x = p - 307. Find the common denominator of x and -77/20.
140
Suppose 5*s + 23 = 68. Let p(x) = -2*x**2 - 6*x - 7. Let g be p(-5). Let t = g + 54. Calculate the smallest common multiple of s and t.
27
Calculate the common denominator of 49/16 and (-384)/(-96) - 634/168.
336
Let k be ((-2)/(18/9))/(30534/(-127237)). Let l = -2/5089 + k. Calculate the common denominator of 82/33 and l.
66
Let z be -1 - (5 - 6) - 234/(-3). Let p = 74 - z. What is the lowest common multiple of (176/(-12))/(p/12) and 4?
44
Calculate the common denominator of (-15506)/(-1110) - (-11 - -25) and -71/296.
4440
Suppose -2 = u - 7, -p + 30 = -3*u. What is the smallest common multiple of p and 57?
855
Let y = -67 - -73. Suppose -3*d + 24 = 3*p, y*d = 3*d + 3*p + 12. Suppose -12*w + 36 = -8*w. Calculate the lowest common multiple of w and d.
18
Let h be ((-82)/8 - -11)/((-5)/9008). Let v = -1758615211/80 + 21981334. Let a = v - h. What is the common denominator of a and -101/4?
16
Let q = -43888 - -1667785/38. Calculate the common denominator of q and 85/38.
38
Let q(t) = -t + 18. Let p be q(13). Suppose 5*z - b = 45, 28 + 27 = p*z - 3*b. Suppose -43*c = 5*c - 528. Calculate the least common multiple of z and c.
88
Suppose -3*v = 5*y - 0*v - 13, -5*v = -y - 3. Suppose -68 - 8 = -y*d. What is the smallest common multiple of -1 + 2/6 + 60/9 and d?
114
Let d = 742 - 738. Suppose 0 = -h + 2 - 0. Suppose 0 = -h*s + d + 4. Calculate the smallest common multiple of s and 4.
4
Let s be (-2024200)/261 - (-8)/(-18). Let u = s + 426647/55. Find the common denominator of u and -18/5.
55
Let d = -357773 + 118065221/330. What is the common denominator of d and 75/22?
330
Let n = -31 - -34. Find the common denominator of 71/32 and (2046/880 - 1/5) + n.
32
What is the lowest common multiple of -2*(-32)/2*95/38 and 4?
80
Let b = 54 - 55. Calculate the common denominator of (-235)/56 + 18/(-48) and b/(10/4)*(-7565)/(-68).
14
Find the common denominator of 136/680 + (-134)/1420 and (-106)/(-8) - 1/1.
284
Let i = 67 - 53. Suppose 40 = -4*y + i*y. Suppose -y*r = -r - 6. Calculate the smallest common multiple of 66 and r.
66
What is the common denominator of 14/518*(-12)/828 and 46/9?
7659
Let p = -30320/147543 - -44/789. What is the common denominator of (-2 + 17567/4488 - 1) + (-2)/(-16) and p?
561
Let i(t) = t**2 - 2*t - 2. Let o be i(2). Let z be (4/(-8) - (-1)/o)*1023. Calculate the common denominator of (10/(-425))/(-1 - z/1035) and -28/11.
374
Suppose 0 = -n + 3*t + 396, -79*n + 84*n - 3*t - 1956 = 0. What is the lowest common multiple of n and 30?
390
What is the common denominator of 38/1020 - 40/240 and ((-46)/644)/(2/(-104))?
595
Suppose -j + 4 = -c + 5, 2*c = -2*j - 10. Calculate the common denominator of (-75)/63 - (j/(-3))/(-1) and 19/28.
84
Let k(p) = -135*p + 36. Let v be k(3). Let b = v + 375. What is the lowest common multiple of 6 and b?
6
Let y(l) = 5*l**3 + l**2 + 89*l - 81. Let u(o) = -o**3 - 17*o + 16. Let a(z) = -11*u(z) - 2*y(z). Calculate the lowest common multiple of 42 and a(3).
462
Let c(m) = m**2 + 2*m + 84. Let k be c(0). What is the common denominator of 8/9 and (k/9 + -2)*27/(-48)?
72
Let r = 96 + -100. What is the least common multiple of 42 and 5/(10/r) - (12 + -50)?
252
Let f = 4320 + -47532/11. Let n = -34239 - -22837407/667. Find the common denominator of n and f.
7337
Let j(l) = l**2 + 4*l - 4. Let q be (-1)/(5/(-2)) + 2660/100. Suppose q*d + 20 = 29*d. What is the least common multiple of j(-5) and d?
10
Suppose 46*i - 81732 = -53*i - 40*i. Calculate the least common multiple of i and 84.
588
Let i be (8/28 - 0)*(2 - -5). Suppose 0 = i*u, 0*u + 3*u = 2*w + 78. Let a = -33 - w. What is the smallest common multiple of a and 5?
30
Let m = 6527194 - 118129157109/18098. Calculate the common denominator of m and 40/11.
199078
Suppose 5*o - 4*v - 15 = -0, 2*v = 0. Suppose 5*z - 2*z = -2*w + 20, -4*w - 4*z + 44 = 0. Calculate the smallest common multiple of o and w.
39
Suppose 5*a = 10 + 80. Calculate the common denominator of 6/a - 777/144 and 39/20.
80
Suppose h - 413 = -4*b, b + 5*h - 54 - 35 = 0. What is the common denominator of (-7 + (-220)/(-33))*138/b and -69/2?
52
Let u = 492 + -490. Suppose 0 = 4*p - u*f - 20, 4*f + 26 = 5*p + 2*f. Calculate the smallest common multiple of p and 27.
54
Suppose -4*l = -2*d + 518, 3*d - 791 = -0*l - l. Suppose 4*v + 97 = -2*c + d, 5*v - 197 = c. Let m = -36 - -76. Calculate the lowest common multiple of v and m.
40
Suppose -22*o = -18*o + 368. Let g = o + 108. Suppose -5*l = 3*b - 60, -2*b = -5*l + 3*l - 40. Calculate the least common multiple of b and g.
80
Suppose -4*u - 528 = 4*m, u - m - 388 = 4*u. Let a = -70 - u. What is the smallest common multiple of a/4 - (-7)/(-14) and 14?
14
Let j = -1226 - -18457/15. What is the common denominator of 29/24 and j?
120
Let x(u) = -3*u**3 - 2*u - 1. Let k be x(-1). Suppose 190 = -19*f + 38*f. Calculate the smallest common multiple of f and 50*(-2)/(-20)*k.
20
Suppose -4115*w + 4118*w = -3*d + 2652, 0 = w - 2*d - 869. What is the lowest common multiple of 30 and w?
8790
Suppose -j + 56 = 2*p, -8 - 12 = -5*j. Suppose 3*n + 22*v - p*v - 302 = 0, v = 5*n - 475. What is the least common multiple of 10 and n?
470
Suppose 4*d - 20 = 0, -5 = -2*s + 5*d + 6. Let z be (-12)/s + 489/(-9). Calculate the common denominator of -10 + 11 - (-4)/(72/z) and -59/48.
144
Let z = -76/353 - -15368/12355. Let r = z + -2183/1680. Calculate the common denominator of r and -37/24.
48
Suppose 0 = 3*z, -3*z + 552 = -220*u + 221*u. What is the least common multiple of u and 322?
3864
What is the common denominator of 57/4 and 17 + -22 - (-4)/(-72)*-235?
36
Let c = -8426/7 + 1206. Suppose -i + 38 = 30. Calculate the common denominator of (-166)/48*i/((-112)/(-21)) and c.
112
Let m = -144 + -66. Let u = 4997/24 + m. What is the common denominator of u and -62/9?
72
Let x(t) = -9*t**3 - 6*t**2 - 7*t - 8. Let s(h) = 30*h**3 + h - 1. Calculate the least common multiple of s(1) and x(-2).
270
Let q(r) = 6*r - 111. Let k be q(17). Suppose -2*t + 5*w + 41 = 0, 4*w + 9 = -4*t + 77. Calculate the least common multiple of 689/39 + (-3)/k and t.
18
Suppose 56 = -y + 3*y. Let s = 22/27 + 4412/351. Let k = s + -933/26. What is the common denominator of k and y?
2
Let h(r) = r**2 + 3*r - 15. Let k be h(-5). Calculate the common denominator of -91/45 and (k/((-15)/34))/20.
90
Suppose -4*y - 42 - 22 = -4*h, 3*h = -3*y + 24. Let i(u) = -16*u + 27 - u**2 + 49*u - 11*u - h*u. Calculate the lowest common multiple of 2 and i(11).
16
Suppose -245 = -131*z + 126*z + 5*p, p - 5 = 0. Suppose -7 = 5*x - 5*y - 62, 1 = -x - 3*y. Calculate the least common multiple of x and z.
216
Let c be 6/(-1) + 6 - -3. Let u = -541 + 313. What is the smallest common multiple of -8*((u/16)/c - -3) and 22?
154
Calculate the common denominator of (-85)/175*105/600 and 139/2380.
23800
Let i be (-732)/(3*(-4)/6). Let g = i - 328. What is the least common multiple of g and 2?
38
Suppose 14*c - 10 = 12*c + l, -5*c = -3*l - 22. What is the smallest common multiple of c and 5992