).
180
Calculate the smallest common multiple of (50/30)/(45/162) and 216.
216
Suppose -12 = -p - a + 3*a, -2*p - 3*a = -10. Suppose 2 = 2*c - p. Suppose b + 5*k - c = 0, -k = -3*b - 6*k + 15. What is the least common multiple of b and 27?
135
Let p(g) = -g**2 + 2*g - 1. Let u be p(3). What is the common denominator of (14/154)/(u/194) and (3 - 1)/(36/(-381))?
66
Let z = -742 + -1712. Let d = z + 9741/4. What is the common denominator of -41/16 and d?
16
Let y(k) = 5*k**2 - k. Let q be y(1). Let a = -183/2 + 93. Find the common denominator of (1 + q)*5/(-7) and a.
14
Suppose 3*w + 14 = 5. What is the common denominator of -21/8 and 11/176*(-172)/w?
24
Let m = 2286717/70 + -32668. Calculate the common denominator of 27/5 and m.
70
Let m be 7 - 255/35 - (-10496)/(-14). Find the common denominator of (2/(-171))/((-8)/m*-1) and 33/2.
114
Let s = 3351/176 - 217/11. Calculate the common denominator of s and 47/254.
2032
Find the common denominator of 40/27 and 1/(-1 + 680/(-55)).
1323
Let y = -2198 - -87929/40. Let r = -1/128215 - -327845759/512860. Let b = r + -654. Calculate the common denominator of b and y.
40
Suppose 0 = -3*n - 9 - 0. Calculate the least common multiple of 6 and n + 11 + 0/2.
24
Let h = 5 + -10/3. What is the common denominator of -121/24 and h?
24
Let x(a) = a**2 + 7*a - 62. Let h = 11 - 7. Suppose -h = -u - u. Calculate the smallest common multiple of x(-13) and u.
16
Let v(o) = -6*o - 4. Suppose 0 = -2*g - 4 + 10. Suppose 3*d = -g*x - 21, 0 = 5*x - 2*d + 1 + 6. Calculate the smallest common multiple of v(x) and 14.
14
Suppose -15 = -v - 9. Calculate the least common multiple of 348 and v.
348
Suppose 4*r + 22 = 6. Calculate the common denominator of 39/9*((-27)/6 - r) and -80/21.
42
Let d = 337 - 323. What is the least common multiple of 30 and d?
210
Let d(q) = 2*q + 10. Let s(l) = -2*l**3 + 29*l**2 - 15*l + 17. What is the smallest common multiple of s(14) and d(16)?
42
Let v = 600 + -26453/44. What is the common denominator of v and 19/36?
396
Let v be 2/10 + (-878)/(-10). Suppose -i = -0*i - v. Find the common denominator of -123/10 and ((-207)/i)/(6/8).
110
What is the common denominator of -32/27 and 230/75 - (-1)/(-2)?
270
What is the least common multiple of 132 and (2 - (-10 - -60))*(-22)/8?
132
Find the common denominator of (-1)/(-18)*(-2 + -1)*-137 and -28/19.
114
Suppose 0 = -4*t + 4*i - 20, -3*i - 3 = -15. Calculate the common denominator of 1 + 0 + 206/(-36) and (-92)/32 + t/2.
72
Let g(x) be the first derivative of 1/2*x**2 + 25*x - 13. Calculate the lowest common multiple of g(-14) and 10.
110
Let o(y) = 88*y + 8. Let k be o(4). What is the common denominator of (81/k)/((-6)/4) and -5/48?
240
Suppose 2*f = -3*o + 69, 26 = 2*f - 5*o - 51. Calculate the smallest common multiple of f and 18.
36
Find the common denominator of 627/66 + (-2)/8 and 39/28.
28
Let k(v) be the second derivative of -v**3/3 - 5*v**2 + 11*v. Calculate the smallest common multiple of 1 and k(-7).
4
Let v(k) = -k + 3. Let b be v(3). Suppose -4*s = -b*s - 20. What is the smallest common multiple of s and 14?
70
What is the common denominator of ((-737)/(-198))/(2/(-6)) and -26/11?
66
Let y = 7 + 4. Let c = y + -11. Suppose 4*g + c*g = 148. What is the common denominator of -79/10 and g?
10
Suppose 3*z - z = 6. Suppose -5*g - 9 = -29, -2*s + z*g = -4. Calculate the least common multiple of s and 22.
88
What is the common denominator of 46/(-12)*(-27)/12 and 51/53?
424
Let y = 842 - 832. Calculate the smallest common multiple of 354 and y.
1770
Let a(k) = 6*k**2 + 5*k - 7. Let t be (-2)/(-4)*(-6 + 0). Calculate the least common multiple of 40 and a(t).
160
Let r(l) = -2*l - 2 - 3*l - 6*l**2 + l**3 - 1. Let c = 2171 + -2168. Calculate the lowest common multiple of r(7) and c.
33
Let b(o) = 4*o**2 + 27*o - 8. Let y be b(-8). Let g = -8/9 + 32/9. What is the common denominator of g and ((-11)/3)/(y/(-12))?
24
Let o = 8756 + -131266/15. What is the common denominator of o and -19/6?
30
What is the common denominator of -17*((-3)/(-10))/3 and -1 + (0 - 17/20)?
20
Suppose -5*d + 97554 - 6699 = 0. Let c = 399655/22 - d. What is the common denominator of c and (-2315)/(-350) - (-2)/7?
110
Let w = -9635171/198 + 48662. Find the common denominator of -25/264 and w.
792
Let o(l) = -l**3 + 6*l**2 + l - 2. Let a be o(6). Suppose -z = 2*h, -a*h - 33 = -4*z - h. What is the smallest common multiple of z and 10?
30
Let i be 20/16*(2 - -10). Let x = i + -12. Suppose x*q + 4 = z + q, -19 = -3*z - q. Calculate the lowest common multiple of z and 9.
18
Suppose -3*i - 66 = -102. Calculate the lowest common multiple of 96 and i.
96
Let v be (2*-84)/(2/18*-3). Find the common denominator of -55/6 and 2*(-86)/4*(-48)/v.
42
Let x be (-6)/20*(3945/54)/(-5). Let l = x - -69/20. What is the common denominator of l and -29/12?
12
Let o be (-145965)/(-70) - 3/3. Let r = o + -2083. Let h = -4/323 + -10005/646. Find the common denominator of h and r.
14
Let g = -308 + 310. Calculate the lowest common multiple of 3 and g.
6
What is the least common multiple of 16 and (-119)/(-3) - 1/(-3)?
80
Let f be 9/(-854)*(1 - 3). Let l = 30353/1708 - f. Let r = 1340 + -3952/3. Calculate the common denominator of r and l.
12
Let p = -5201 + 5246. What is the least common multiple of (-2)/(-4) + (-231)/(-6) and p?
585
Suppose -3*l = 2*l - 10. Suppose 2*r + 5*o = -6 - 0, -4*o = r. Let y = l - r. What is the smallest common multiple of 14 and y?
70
Suppose 88*g + 288 = 90*g. What is the lowest common multiple of 36 and g?
144
Let x be (-22)/(-33)*(-7 + 1). Let b(f) = 92*f**3 + 5*f**2 - 3*f + 4. Let j be b(x). Let r = 57991/10 + j. Find the common denominator of -41/14 and r.
70
What is the lowest common multiple of 30 and (-1413)/(-27) - 28/12?
150
Let f = 14050 - 786903/56. Calculate the common denominator of f and -101/40.
280
Let h = 738132/17 - 115217119/2652. Let f = -324/13 - h. What is the common denominator of -25/33 and f?
132
Let d be (-2177)/(-18)*(-13)/91. Let p = d - -232/9. Let o = 189799/22 + -8624. What is the common denominator of o and p?
22
Let g = -3 - -2. Let j be (g - 17)/((-15)/(-10)). What is the lowest common multiple of j/(((-24)/(-9))/(-4)) and 8?
72
Let l(d) = -d**3 + 10*d**2 - 3*d + 24. Let k be l(10). Let j be ((-9)/(-182))/(k/(-301)). Let n = 42/13 - j. What is the common denominator of n and 27/20?
20
Let g = -30134 + 1386241/46. What is the common denominator of g and 37/5?
230
Let q be 15 + 1*(-1 + -2). Suppose -4*h - 2*u + 33 = -u, -h + q = -u. Suppose h = -m - 2*b - 28, 5*m + 149 = -b. What is the common denominator of 56/3 and m?
3
Let z(g) = -g**2 - 7*g. Let c be z(-5). Find the common denominator of 516/1320 - (-1)/(-11) and (14/c)/((-36)/190).
90
Let h(x) = x**3 - 8*x**2 + 7*x + 10. Let k(g) = -g**3 + 7*g**2 + g - 4. Let z be k(7). Calculate the lowest common multiple of h(7) and 12 - 3 - (-2 + z).
40
Let x = -2/5071 - 146995/162272. Find the common denominator of -5 - 2/(-24) - (82 - 85) and x.
96
Let o = 389/320 - 6/5. Let z be (-7)/(-7) - (-55)/(-64). Let x = o - z. Find the common denominator of x and -93/14.
56
Let a = 301349/18 + -16750. Let y(g) = g**2 - 1. Let r be y(5). Calculate the common denominator of (-90)/r*(-31)/5 and a.
36
Let v be 5/(-75)*3 - 149/5. Let z = -28 - v. Calculate the smallest common multiple of z and 18.
18
Let h = 40/369 + -132/41. Let y = 55 + -79. What is the common denominator of h and -25*((-20)/y + -1)?
18
Let o = 3 - 0. Let z(t) = -6*t - 3. Suppose 0 + 6 = -3*h. What is the least common multiple of o and z(h)?
9
Let g = 222/13 + -15109/884. Find the common denominator of g and -19/4.
68
Let m = 22 - 53. Calculate the common denominator of -6 - -2 - m/(-12) and -9*(-2)/20 + 1.
60
Suppose 0 = 8*q - 4*q + 16. Suppose -4*o + 4*z + 8 = 0, -19*o + 23*o + z - 3 = 0. Calculate the common denominator of 2*o/q*-17 and 39/5.
10
Suppose 0 = -0*y + 32*y - 928. Suppose 4*m = 29 + 15. Calculate the lowest common multiple of y and m.
319
Let m be (3 + (-21)/6)*-2. Let c(w) = -4*w**2 + 6*w**2 + 0 - m + 11*w**2. What is the least common multiple of c(-1) and 10?
60
Suppose 0 = -2*x + x + 6. Suppose 0 = 4*y - 7*n + 2*n + 115, -2*n - 10 = 0. Let t = 41 + y. Calculate the smallest common multiple of x and t.
6
Let c = 203/48 - 51