e ((-1)/36)/((-11)/(-8)). Let c = -2512768999/198 - -12690788. Let k = p - c. Find the common denominator of 9/4 and k.
4
Calculate the lowest common multiple of 80 and 3*(-80)/(-9)*450/60.
400
Calculate the smallest common multiple of 36*(12/(-8))/((-9)/38) and 76.
228
Let b = 255 + -99. Find the common denominator of (-1492)/1056 - 132/242 and (-379)/b - 10/65.
24
Suppose q = 10*m + 6425, 0 = 2*q - 17*m + 20*m - 12873. Calculate the smallest common multiple of q and 4095.
45045
Let c = -5485 - -16490/3. Calculate the common denominator of c and -63/344.
1032
Suppose 8*n - 6*n + 43560 = 24*n. Calculate the lowest common multiple of n and 40.
3960
Suppose 2*i - 28 = -2*c, 0 = 12*c - 11*c - 3*i - 30. Calculate the least common multiple of c and 1098.
1098
Let l be 3 - (48/64)/((-2)/392). Suppose -l = 19*h - 22*h. What is the least common multiple of h and 30?
150
Let u = -125/2 - -68. What is the common denominator of 125/3126 and u?
3126
Let c(a) = a**2 + 5*a - 7. Let b be c(-7). Suppose 2*m - b*m = -10. What is the common denominator of m and (14/(-392))/(3/(-291) - 0)?
28
Suppose 9*h - 68 = -8*h. Suppose 4*x = -3*a + 139, -h*a - 4*x = -0*x - 184. What is the smallest common multiple of 35 and a?
315
Suppose -x = 1 - 5. Let g be (-2)/(-2 - -4) + -1. Calculate the least common multiple of x/((-10)/(10/g)) and 8.
8
Suppose -z + 2 = 3*x, -10*z = -5*z + 2*x - 62. Suppose 67 = w - z. Calculate the least common multiple of w and 9.
81
Let x = -23485/168272 + -31/809. Find the common denominator of x and 53/13.
208
Let g be ((-6)/(-12))/(2/35). Let y = g + -15. Let w = 797873/87042 - -2/14507. What is the common denominator of y and w?
12
Suppose -39*z - 328 = -718. What is the least common multiple of 223 and z?
2230
Suppose -3*b = 2*d - 13 - 107, 5*d = -b + 40. Calculate the smallest common multiple of b and (-5 - 3)/(12/(-75)).
200
Suppose -2*v + 90 = -5*q - 480, 5*q + v = -555. Calculate the smallest common multiple of 164 and (-6)/2*17/(238/q).
984
Suppose 2*k + 0 + 30 = 0. Let l(a) = a**2 + 17*a + 12. Let j be l(k). What is the lowest common multiple of (j/(-15))/(-1 + (-51)/(-45)) and 12?
36
Let s = 2819/37785 + 19/229. Find the common denominator of s and -113/1380.
15180
Suppose 3*z - 5 - 25 = 0. Let v be (238/(-35))/(6/(-60)). Suppose l + 4 - v = -2*g, 16 = 4*l. Calculate the least common multiple of g and z.
30
Let h(d) = 6*d - 25. Let z = 35 + -30. Let g = 0 - -1. Calculate the lowest common multiple of h(z) and g.
5
Find the common denominator of -23/98 and (-1)/(-2)*42680/4074*(-2)/(-752).
27636
Suppose -129 = 4*a - 3*m, -11*a = -13*a - 4*m - 48. Calculate the common denominator of 41/2 and 26/(15*(-5)/a).
10
Let h(q) = -6*q - 4. Let j(g) = 5*g + 3. Let p(r) = 4*h(r) + 5*j(r). What is the lowest common multiple of 18 and p(23)?
198
Calculate the common denominator of (-3)/2*(80/50)/4 and (-15)/3 - 1698/(-369).
615
What is the common denominator of -103/84 and ((-503)/(-168) - 3)/(-10 - (-8868)/888)?
84
Let y(d) = d**3 + 5*d**2 + 5*d + 3. Suppose 31657 = 1036*f - 128363 - 125916. What is the lowest common multiple of f and y(-3)?
276
Suppose 31*u + 166 = 5*i + 25*u, -4*i + 124 = 4*u. What is the lowest common multiple of 32 and i?
32
Let u(m) = -m**3 + 25*m**2 + 107*m + 106. Calculate the lowest common multiple of 4 and u(-8).
2724
Let d be (5 + (-65)/10)*(-40)/12. Suppose -4*l = 2*h - 40, -2*h + 115 = 3*h + d*l. What is the lowest common multiple of 52 and h?
52
Let q(p) = p**3 - 3. Let n be q(0). Calculate the common denominator of -1 - (n + 336/45) and (3/10)/(9/(-16)) - 5.
15
Let f be 3 + -2 + 155 + (-22 - -26). Suppose 4*c = 14*c - f. Calculate the least common multiple of c and 14.
112
Calculate the common denominator of -173/240 and (2 - (3 - 3)) + 12912/(-1280) + 8.
240
Let v = -85/66 - -2044/165. Calculate the common denominator of 119/380 and v.
380
Let k = 48599/60 - 810. Let u = -3/1229 - 52793/22122. Calculate the common denominator of u and k.
180
Find the common denominator of 1/374 and 6/(-27)*(62/1584)/(68/204).
20196
Let d = -6 - -30. Let f(v) = 15*v + 168. Let y be f(0). Let z = 195 - y. Calculate the smallest common multiple of z and d.
216
Suppose 4*a - 98 = -u, -2*a = 7*u - 9*u - 44. What is the smallest common multiple of a and 48?
48
Suppose 28*k = -75*k + 34299. What is the smallest common multiple of k and 333?
333
Let y = -106787/20 + 5338. Find the common denominator of y and (-25 - -27)*(-1 + 219/148).
740
Find the common denominator of 92/15 and (-1 + (-5580)/(-5572))/(132/11473).
5970
Let g(v) = 2*v**3 + 144*v**2 + 280*v + 80. Suppose 5*s = 70 + 280. What is the least common multiple of g(-70) and s?
560
Suppose 0 = l - v - 43, 0 = -5*v - 5 - 0. Suppose 81*u - 608 = -527*u. What is the smallest common multiple of u and l?
42
Let z(x) = 7*x. Let g be z(4). Suppose 4*w = -p + 10 + g, 4*w = 20. What is the lowest common multiple of p and 39/(-13) + 7*1?
36
Let b be 34/6 - 4/6. Suppose 45 = 3*z + b*r, -49 - 14 = -3*z + r. Let f = -16117 + 16149. Calculate the smallest common multiple of f and z.
160
Suppose -4*y = 5*m - 22, 5*y - 2*y - 7 = m. Suppose b = -5*z + 524, 3*z = 2*z - m*b + 112. Calculate the common denominator of 50 and (-16)/z - (-3186)/260 - 2.
10
Let u(g) = -2*g**2 + 13*g + 19. Let m(k) = k**2 - k + 2. Let b(p) = 6*m(p) + 2*u(p). What is the lowest common multiple of b(-8) and 66?
198
What is the common denominator of (-186)/651 + (-41242)/(-141260) and -45/11?
110990
Let s = -34 - -62. Suppose 4*w - 53 - s = -5*n, 2*n = 2*w - 18. What is the lowest common multiple of w and ((-123)/7 - -9)/((-45)/126)?
168
Let x(d) = 2*d**2 + 4*d - 4. Let a be 1/(-2) - 20/8. Let i be x(a). Find the common denominator of ((1809/(-4))/9)/((-15)/i) and 20/3.
30
Let l be (12/(-304))/(1/(-3)). Let x be (86/473 - 78086/15048) + (-6)/9. Let c = l + x. Find the common denominator of c and 48/7.
63
Let u = -812 - 7326. Let z = 162801/20 + u. Calculate the common denominator of z and -81/202.
2020
Let k = 59 - 35. Suppose -33*s + 3120 = -3*s. Calculate the least common multiple of k and (-5)/((-30)/s) - (-28)/(-21).
48
Suppose 4*d = -24, -4*v + 325 + 113 = d. What is the lowest common multiple of 159 and v?
5883
What is the smallest common multiple of 20 and (5/(-15))/((-12)/432)?
60
Suppose 0 = -2*i - 5*o + 65, 9*o - 4*o - 190 = -7*i. What is the smallest common multiple of i and 1265?
6325
Calculate the lowest common multiple of 756 and -106 - -111 - ((-4)/(-8) - 6366/4).
14364
Let a = 391 - 35610/91. What is the common denominator of 47/112 and a?
1456
Suppose -5 = 2*n + 3*n. Let u be (-1)/(2 + n) + 16 + 7. What is the common denominator of -73/8 and 123/u - (3 + -1)?
88
Suppose -2*j + 69 = 57. Suppose j*t - 155 = 43. Suppose 0 = -2*z + r + t, -2*r - 57 = -3*z + 2*r. Calculate the smallest common multiple of 3 and z.
15
Let s(z) = -138*z + 114. Let r be s(8). Find the common denominator of -76/3 and ((-208)/20 - -10) + (-751)/r.
198
Let p = -54 - -109. Let y(h) = -h**2 + 30. What is the least common multiple of p and y(5)?
55
Let w be (-2)/7 + (3 - 752/14). Let s = 45 + w. What is the common denominator of -14/5 and ((-2)/s)/(64/(-3408))?
20
Suppose 6*x + 4*x = 1080 - 270. Let t = 6 + 2. Calculate the lowest common multiple of t and x.
648
Suppose 186 = 38*u - 4. Suppose u*s + 22 = 62. What is the lowest common multiple of s and 660?
1320
Let y = -8005/3696 + -53/77. Calculate the common denominator of 61/34 and y.
816
Let h(a) = -14*a + 20. Suppose 2*n - 12 = -4*q - 0*n, 17 = q + 4*n. Calculate the lowest common multiple of 54 and h(q).
54
Let i(w) = -w**3 + 2*w**2 + 3*w - 3. Let u = -374 - -371. Calculate the least common multiple of 165 and i(u).
165
Let g(v) = v**2 + 191*v + 8020. What is the least common multiple of 2 and g(-57)?
382
Let o = 2790 + -5720. Let n = o + 146531/50. Find the common denominator of n and -52/45.
450
What is the common denominator of 23570/4560 - ((-4)/(-10))/((-36)/(-450)) and -19/216?
4104
Let k = 3422 + -54783/16. What is the common denominator of k and 29/12272?
12272
Find the common denominator of (((-255)/(-2))/(-17))/(-3 + 51) and 452/896 + (-4)/28*2.
32
Suppose 49*f + 217 - 3396 - 55 = 0. What is the least common multiple of f and 187?
1122
Let j = 62 + -58. Let m(k) = -k**3 +