n multiple of ((-234)/(-7) - (-156)/273) + -4 and 546?
2730
Let h(t) = 2*t**2 + 6*t + 7. Let q be h(-3). Suppose -q*k = -8*k + 22. Calculate the least common multiple of (-1)/(-3) - (-94)/6 and k.
176
Let n = 507 + -387. What is the lowest common multiple of n and 6?
120
Let u(q) = 5*q - 16. Let x be u(5). Suppose -5*t = x*o - 5*o - 169, -3*o + 3 = 0. What is the lowest common multiple of 15 and t?
165
Let j(d) = 2*d + 16. Let n be j(-8). What is the lowest common multiple of 2 and (-3)/12*n + 8?
8
Let m = -6582 + 184277/28. Find the common denominator of m and -151/12.
84
Let w = 5415 + -54089/10. Let s = 11480643/11 + -16945345171/16236. Let f = s + -1/1476. Find the common denominator of f and w.
30
Suppose 4*h - 14 = -p, -8*h + 10 = -3*h. Calculate the smallest common multiple of 90 and p.
90
Let k = -163/11 + 11311/770. Find the common denominator of k and 41/18.
630
Let b = 85 + -91. Suppose 0 = 3*p - 4*p + 12. Let c = b + p. Calculate the smallest common multiple of c and 3.
6
Find the common denominator of 12/(-14)*99/77 and -26/7.
49
Suppose -4*o = -7*o + 4*z - 436, -20 = 4*z. Let r be 16/o + (-742533)/(-304). Let t = -2439 + r. What is the common denominator of 3/4 and t?
16
Let y = -10 + 16. Let k be (-1)/(-5) - 14/(-5). Suppose -60 = -2*r + 4*n, -2*n = -5*r + k*n + 125. What is the least common multiple of y and r?
60
Let q be (-1*85492/32)/(10107/(-6)). Let d = -3/1123 + q. What is the common denominator of -109/20 and d?
60
Let f = 392 - 821/2. Calculate the common denominator of 55/6 and f.
6
Let z(j) = 4*j + 35. Let m be z(-9). Let f = -2 - -10. Calculate the lowest common multiple of (-4)/2*m*2 and f.
8
Let g = 11 + -6. Let j = -1 - -1. Suppose g*f - f - 24 = j. What is the smallest common multiple of f and 6?
6
Let g = -7625/1738 + 27/79. Find the common denominator of g and 0 - 0 - 5 - (-84)/(-192).
176
Suppose 2*b + 2*b = 2*v + 132, 0 = -2*b + 2*v + 68. Suppose -b = 9*x - 13*x. What is the smallest common multiple of x and 2?
8
Suppose 0*r - 2*r = 4. Find the common denominator of 9/20 and ((-995)/100 - r) + 2.
20
Let j(a) = 6*a**2 - 6*a - 6. Let r be j(6). What is the common denominator of (r/(-8))/((-18)/3) and (-16)/3*(5 - 3)?
24
Suppose -4*y + w = -111, 5*y + 5*w = -0*y + 120. What is the least common multiple of y and 72?
216
Suppose -3*v - 2*v - 80 = 0. Let r = -1705 + 27287/16. What is the common denominator of r and ((-25)/(-3))/(v/18)?
16
Let j(u) = u - 21. Let s be j(26). Let q(g) = 4*g + 20. What is the least common multiple of q(s) and 12?
120
Let x(q) = 12*q**2 + 3*q**3 + 2 + 0*q**3 - 2*q**3. Let a be x(-12). Suppose -a*u + 10 = n, 5*n = -2*u - 0*u - 6. What is the lowest common multiple of u and 1?
7
Let m be (12/(-8) - -1)*-8. Suppose -m*c + 2804 = -2256. Let a = 24017/19 - c. Find the common denominator of 73/9 and a.
171
Calculate the common denominator of 103/282 and 254/42 - (-7 - 114/(-12)).
1974
Let d = -2196 - -17609/8. Find the common denominator of (2/16)/((-1)/(-182)) and d.
8
Let f be ((-630)/(-188) - 3)*(-10)/15. Let k = 4117/282 - f. Find the common denominator of 568/32 - (1 - -1) and k.
12
Find the common denominator of 48 and (-1517)/(-1430) - (-102)/(-187).
130
Suppose 5*q + 8*y - 6*y = 99, -4*q + 5*y + 99 = 0. What is the lowest common multiple of q and 36?
252
Let i = 26186439/1973 - 403035329003/30287523. Let t = i - -16/2193. Let d = t + 5023/154. Calculate the common denominator of d and 51/2.
22
Suppose 54 = 7*c - 4*c. Let l = 24 - c. Suppose 4*w = -w + 50. What is the smallest common multiple of l and w?
30
Suppose -112*u = 34*u + 20*u - 3320. What is the smallest common multiple of (-1)/3 + 219/9 and u?
120
What is the common denominator of (-10 - 867/(-120))/1 and 9/32?
160
Calculate the lowest common multiple of 891/18*(8 - 4) and 5.
990
Let u be (-1 + -1)*(2 - -1)/(-3). Calculate the least common multiple of (-1)/(u/8) + 12 and 28.
56
Suppose -3*v + 2*v = 0. Suppose v = 6*a - 4*a - 112. Find the common denominator of 23/22 and ((-20)/6)/(a/(-21)).
44
Let h(n) = -9*n**3 + n. Suppose -4*y = -0 - 16. Suppose y*x + 2 + 2 = 0. What is the least common multiple of 10 and h(x)?
40
Let g = -74 - -65. Let m(t) = -2*t - 14. Calculate the smallest common multiple of m(g) and 21.
84
Let m be (-2)/1 + 37*30 + 2. Let v be (-3 + 4)/((-1)/(-55)). Find the common denominator of 1/4*m/v and -89/10.
110
Let x = 7646 + -137719/18. Let p = -22/29 + 929/116. Calculate the common denominator of p and x.
36
Let b = 9115307/6 - 1513382. Let m = b + -5859. Calculate the common denominator of (-75)/6*2/3 and m.
6
Let v = 7/19 + -1833/76. Let d = 1/3278421485 + 47237463805732/9963122892915. Let h = d + -8/1013. What is the common denominator of h and v?
60
Let o be (0 - 2829)*1/8. Let m = -1453/4 - o. What is the common denominator of -12/11 and m?
88
Let c = -18 + -1. Let n = c + 16. What is the common denominator of 91/8 and 19 + 0 - (n + 3)?
8
Let p = 35 + -32. Find the common denominator of -49/11 and (p/60)/(6/1035).
88
Let h = 166/7 + -2676/91. Let l = -759/26 - h. Let w = -410 - -787/2. Calculate the common denominator of w and l.
2
Let x = -1560773/50 - -31213. Find the common denominator of x and 161/90.
450
Let x(d) = -158*d - 10. Let h be x(-7). Let o = -2235/2 + h. Let c = 1801 - 7105/4. Calculate the common denominator of o and c.
4
Suppose 0*i - i + 7 = -4*a, -40 = -4*i + 4*a. Calculate the lowest common multiple of 20 and i.
220
Suppose 0 = -5*d + 7*d - 146. Let u = d + -55. Suppose 5 = -m + 21. What is the lowest common multiple of u and m?
144
Suppose 3*m - 68 = -4*p, 17 = 2*m - 3*p - 51. Suppose 66 + 6 = -4*w. Let v = w + m. What is the least common multiple of v and 14?
70
Let y be (2 - (-2)/1) + 25. Suppose -4 = -2*f + 2*q, -3*f + 0*q - y = 4*q. Let j = 18 + f. What is the least common multiple of j and 3?
15
Let i(r) = -r - 2. Let s be i(-5). What is the common denominator of -69/14 and (-36)/7 + ((-21)/(-14) - s)?
14
Suppose -u + 11 = 4*v, -3*v - 36 = -u - 39. Calculate the smallest common multiple of u and 90.
90
Let x = 2035 - 2028. Calculate the lowest common multiple of 1330 and x.
1330
Let x = 6175 - 61803/10. Calculate the common denominator of 137/144 and x.
720
Suppose -2*c + 61 = -n, 0 = 5*c - 2*n - 137 - 18. Calculate the smallest common multiple of c and 88.
264
Suppose 44*l = 43*l - 3, -2*l + 64 = 5*o. Calculate the smallest common multiple of 54 and o.
378
Let y be (-10 - -5)/(-5) + (-41694)/41698. Let l = y - -1021569/333584. Let h = 8359/2736 + 5/684. Find the common denominator of l and h.
16
Let v = 882 - 867. What is the smallest common multiple of 5 and v?
15
Let y(z) = -z**2 + z + 12. Let n be y(4). Suppose -5*b = -n - 50. What is the least common multiple of 1 - -5*(3 - 2) and b?
30
Let c = -776 - -92. Calculate the common denominator of ((-4)/(-6))/((-80)/c) and 39/10.
10
Suppose -2*g = 8 - 6. What is the smallest common multiple of ((-14)/3)/(1/(-3)) and (-1 - 17/1)*g?
126
What is the common denominator of (-103)/2*4*9/(-2412) and -95/2?
134
Let r(k) be the first derivative of k**2 + k - 3. Let o be r(1). Let p = o + 3. What is the smallest common multiple of p and 11?
66
Let y = 493 - 4414/9. Let s = -2123/225 + 147/25. What is the common denominator of y and s?
9
Suppose 2*o + 100 = 184. Calculate the lowest common multiple of 12 and o.
84
Let b = 10 - 11. Find the common denominator of (675/(-6))/5 - 2 and (364/80)/b + -1.
20
Let h(g) = -6*g - 6. Let k be ((-26)/(-39))/(2/(-9)). What is the smallest common multiple of h(k) and 28?
84
Let i be (11414/(-9080) + 1)/((-7)/(-238)). Let l = -9/227 - i. Calculate the common denominator of l and -57/20.
20
Let n = 3 - 6. Let q(b) = -b**3 - 4*b**2 - 5*b - 4. Let l be q(n). What is the common denominator of 274/12*-1 + l and -7/10?
30
Let m be 23916/(-19120) + (-10)/(-8). Let o = m + 87241/7170. Calculate the common denominator of (-158)/(-2)*(-1)/4 and o.
12
Let l(w) be the third derivative of -w**4/6 - w**3/2 + 8*w**2. Calculate the least common multiple of 15 and l(-6).
105
Suppose 2*r - 14 = -3*k, 4*r - 17 = -4*k + 7. Suppose -23 = r*x - 55. What is the least common multiple of x and (1 - -4) + (-38)/19?
24
Let c(q) = q**2 + 5*q - 3. Let r be c(-7). Suppose 0 = 2*k - 5*t - r, -3*t - 7 = -4*k + 2*t. Calculate the 