 least common multiple of 13 + i/6 + 50/(-15) and 8?
40
Suppose -34305 - 570585 = -78*b. Calculate the smallest common multiple of b and 7.
54285
Let u(s) = s + 22. Let v be u(-21). Calculate the common denominator of -38/15 and v/2 + (-77)/6.
15
Suppose -81*x - 128 = -84*x - 4*z, 0 = -x - 3*z + 36. Let w = -169 - -257. Calculate the least common multiple of x and w.
528
Suppose -552 - 7254 = -q + 2*m, -7804 = -q + 3*m. Calculate the lowest common multiple of q and 5467.
54670
Let t be 23/46 - 18/(-4). Suppose -5*u + 4*p + 32 = -32, -3*u + 31 = t*p. Let z(b) = b**3 - 6*b**2 - 6*b + 9. What is the lowest common multiple of z(7) and u?
48
Let z(w) = 58*w - 28. Let o be z(8). Let t = -1424/13 - -18193/156. Find the common denominator of t and (-4)/12*o/(-24).
36
Let g = 21 - 4. Let o = -20 + g. Find the common denominator of 354/(-12) + 12/o and -5/128.
128
Let h(f) = -2*f**2 - 9*f + 61. Let l(x) = -x**2 - 5*x + 29. Let v(b) = -3*h(b) + 5*l(b). Calculate the least common multiple of 34 and v(6).
170
Calculate the least common multiple of 5/(15/6524) - 8/12 and 14.
15218
Let z = 402 + -328. Suppose 4*l - 3*u = 59, 0 = -4*l - 0*l - 2*u + z. What is the lowest common multiple of l and 136?
136
Let o = -2873 + 2875. Let c = -112 - -252. What is the least common multiple of c and o?
140
Let r = -8681/143 - -736/13. What is the common denominator of 91/328 and r?
3608
Let v(t) = 4*t**2 + 4*t + 5. Let l be v(-6). What is the lowest common multiple of (6 + 0)/6 + l and 16?
1008
Let y = 506993/37 - 14487101/740. Let z = y - -5879. Let g = -3023/16 - -189. Calculate the common denominator of z and g.
80
Let w = 3 - 5. Let q(o) = -2*o**3 - 2*o**2 + 1. What is the least common multiple of -4*(-3 - (-32)/10)/((-144)/360) and q(w)?
18
Let k = 4043/2320 - 8/145. Let s be 92508/(-91) - (-6)/(-14). What is the common denominator of -2 + 6 + s/90 and k?
80
Suppose -4*b + 186 = 3*r, -2*b = 3*b + 15. Let l = -15 - 63. Calculate the common denominator of -89/2 and (10/r)/(3 + 230/l).
22
Let q(h) = -h**2 + 24*h - 105. Calculate the lowest common multiple of q(17) and (120/(-14))/((-2)/21).
630
Let r(q) = 4*q**2 - 23*q - 1. Let z be r(7). Let b = z - 44. What is the common denominator of 25/2 and (1 + 11/b)*(-4740)/(-24)?
4
Let q(k) = k**2 - 11*k. Suppose 0 = -2*f - 2*p + p + 25, -f + p = -11. Let r be q(f). Suppose -r*s = -16*s + 4. Calculate the least common multiple of 9 and s.
9
Let v = -1536629/1218 - -17655/14. Let g = -830 - -9949/12. What is the common denominator of g and v?
348
Let s(n) = 958*n**3 - 23*n**2 + 17*n - 9. What is the least common multiple of 5 and s(2)?
37985
Suppose -q - 2*q - 9 = 0, -5*q = 3*i. Let p be (7 - 3 - -1)*1. Suppose 2*l + 5*g = -0*l - 14, 5*l + 5*g + p = 0. What is the lowest common multiple of i and l?
15
Let j(b) = b**3 - 3*b**2 + 4*b - 5. Let h be j(0). Calculate the least common multiple of 21 and 18/(h - -8) - 3.
21
Suppose 0 = -4*n + 91 - 83. Suppose 0 = -n*u - 2*o - o + 104, 0 = -2*o - 8. What is the least common multiple of u and 4?
116
Let d = -1406 + 1854. What is the least common multiple of d and 56?
448
Let v = -270 + 268. Calculate the smallest common multiple of 16 and ((-30)/(-8))/(v - 19/(-8)).
80
Let u = 29896 - 29716. Calculate the smallest common multiple of 702 and u.
7020
Suppose 30*y = 111*y - 5508. What is the lowest common multiple of 9 and y?
612
Let g(t) = -t**2 - 8*t - 4. Let z = -238 + 238. Suppose 11*n - 8*n = 4*w - 317, -w + 2*n + 78 = z. What is the least common multiple of w and g(-3)?
880
Let q = -194791/2 - -66229069/680. Find the common denominator of 1/935 and q.
7480
Let v be 1/(-2) - (-325)/26. Suppose 4*q = -v, m = -5*q - 3 + 2. Calculate the common denominator of -38/3 and 237/567 + (-66)/m + 5.
27
What is the common denominator of (-31)/((-2790)/(-4))*(1 + 87/2) and 41/1296?
6480
Let n be 556*(-117)/(-108) + -6. Let i = n - 616. Find the common denominator of i and 13.
3
Let r(a) = -a**3 - 15*a**2 + 13*a - 11. Let o be r(-16). Suppose -o = -5*v + 33. What is the smallest common multiple of v and 3?
42
Let r = -38259 + 14155759/370. What is the common denominator of -63/4 and r?
740
Calculate the common denominator of -2/35 and 8/96 - -5*(-127)/7476.
3115
Let i = 75935/308 - 1739/7. What is the common denominator of 52/(-30)*(-6)/(-64) and i?
880
Let h = -82 - -21. Let p = h - -75. Suppose n - 228 = -96. Calculate the smallest common multiple of n and p.
924
Calculate the lowest common multiple of -18*12/24 + 11 and 118.
118
Let m = -1553/140 - -47/35. What is the common denominator of 1 + (-30)/(-16) - -1 and m?
8
Let r be 4 + -6 - 5/(-1 - 0). What is the common denominator of 31/30 and (-3790)/(-240) - r/24?
30
Let o = -22 - -64. Suppose o = 8*x - 2*x. Suppose 1 = -w + x. What is the lowest common multiple of w and 28?
84
Let k = 23006927/162 - 142019. What is the common denominator of k and 31/12?
324
Let k = 41 + -6. Suppose 0 = 4*z + 16, 5*s = 3*s - 4*z - 64. Find the common denominator of s and 2/(-4) - (-42)/k.
10
Suppose -2*p = 4*l - 6*p - 36, 0 = 3*l - 5*p - 37. Suppose -4*v + 26 + 30 = -l*i, -i = 0. What is the smallest common multiple of 4 and v?
28
Let v(y) = 59*y**3 - 58*y**3 + 0*y**2 + 8*y - 1 - 2*y**2. Let a be v(5). Calculate the lowest common multiple of (-6)/15 + a/10 and 15.
165
Find the common denominator of -8*(-68)/120 + 4/(-6) and 38/3.
15
Let c be 2*(-47547714)/(-1624) - (1 - 1). Let b = -58556 + c. What is the common denominator of b and -85/4?
812
Let d = 4904 + -49077/10. What is the common denominator of d and 71/678?
3390
Let u = -210 - -12. Let d be (-20)/11 - -1 - (-36)/u. What is the smallest common multiple of 28 and (-1517)/(-185) + (d - 4/(-5))?
56
Suppose -6*a + 2*a - 32 = -h, 0 = -2*h + 3*a + 64. Suppose 0 = 12*s + 3*n - 2582 + 731, 2*n = 3*s - 482. Calculate the smallest common multiple of s and h.
1248
Let h = -47 - -86. Suppose -5*s + m = -h, m + 34 = 4*s + 3*m. What is the common denominator of -47/16 and 31/(4*(-4)/s)?
16
Let i = 47103 - 47025. Suppose -f + 30 = 4*f. What is the least common multiple of i and f?
78
Let c = 34 - 51. Let k(i) = i**3 + 17*i**2 + 5*i + 13. Let h be k(c). Let j = -158/3 - h. Calculate the common denominator of j and 42/11.
33
Let j = 1/31 - -274/155. Let h = 225 - 215. What is the common denominator of h/(1 - (-21)/6) and j?
45
Suppose 11328 = 82*y + 95*y. What is the smallest common multiple of y and 128?
128
Let d be -2 + 1 - (2 + -1). Find the common denominator of d/24*595/10 and (-12)/(-486)*(-4 - -16).
216
Suppose 4*x + 26*x = -8310. Let m = -8771/32 - x. Find the common denominator of -81/112 and m.
224
Let z(f) = -107*f + 19. Let q be z(-6). Let x = q + 276. Let w = -1909/2 + x. Find the common denominator of -47/16 and w.
16
Let m = 532891/119 - 4478. Find the common denominator of m and -53/6.
714
Calculate the smallest common multiple of (-171)/(-285) + 1184/10 and 119.
119
Suppose 4*j + a - 5 = 0, 5*j - 4*a - 127 + 105 = 0. Suppose 2*l = -j*u + 180, 0*u - 4*l = -u + 80. What is the lowest common multiple of 24 and u?
264
Let t be (-2)/16*2 + (-9513)/1484. Let g = t - -401/848. Find the common denominator of g and 111/22.
176
Let y = 163 + -151. Calculate the least common multiple of 2 + 3/y*-4 and 18.
18
Suppose 3*c - 2*p = 16, -5*c - 3*p = -p - 48. Suppose -m = -3*w + c, -6 = 5*w - 26. Suppose 0 = -m*l + 145 - 41. What is the least common multiple of l and 10?
130
Find the common denominator of (1742/65 + -21)/((-63)/2) and 38/245.
2205
Let k = -26/213 - -10349/2769. Calculate the common denominator of k and 93/560.
7280
Let o = 12918 + -12900. What is the lowest common multiple of o and 36?
36
Let b(u) = -11*u**3 - u**2 - 2*u - 1. Suppose -15*n = -179 - 2266. Let v = 173 - n. Calculate the smallest common multiple of b(-1) and v.
110
Let j be ((-16)/96)/((-2)/6)*-36. Calculate the least common multiple of 2 and j/(-42) + 125/35.
4
Find the common denominator of -2*(1 - 4) - 1646/308 and -157/84.
924
What is the common denominator of (-28)/((-35)/(-5)) + (-3370)/(-840) and 163/126?
252
Let w(v) = -4*v**3 + 70*v**2 - 67*v + 19. What is the least common multiple of w(16) and 36?
5796
Suppose 276*f - 570*f + 56 = -280*f. What is the smallest common multiple of f and 7932?
7932
Let f be (162/15)/(56/40 - 1). 