
6
Let h = 8701 + -173969/20. Calculate the common denominator of h and (-454)/20 + (17 - (12 + -6)).
20
Let q = -38246 - -11320803/296. What is the common denominator of -59/24 and q?
888
Let c(b) = b**2 - 20*b - 80. Calculate the lowest common multiple of 9 and c(25).
45
Let o(c) = 83*c - 1630. What is the lowest common multiple of o(20) and 54?
270
Suppose b + 12 = 11. Let d be (-2700)/(-81) + (-1)/(-3)*b. Let n = d + -13. Calculate the smallest common multiple of 22 and n.
220
Let t = -546 - -79781/146. Let c = -13 - -89/6. What is the common denominator of c and t?
438
Let s = -254 - -266. Let y = -45 - -84. Suppose 3*l = -3*j + y + 9, -4*l = -j - 64. What is the least common multiple of s and l?
48
Let u = 33 - 29. Let o be 94/4 - u/8. What is the common denominator of 49/16 and (-54)/(-26) + o/46?
208
Let m = 164/1385 + -229029/659260. What is the common denominator of 8/595 and m?
2380
Find the common denominator of 13/1565 and 10595/(-1300) + (0 - -1)*3.
6260
Let j be 12174/(-44)*(3 - 176/60). Let t = j - -92/5. Let d = -56915/92 - -2467/4. Find the common denominator of t and d.
506
Let i be (-8)/5*((-75)/6)/(-5). Let q(m) = -3*m**2 - 14*m - 2. What is the least common multiple of q(i) and 177?
354
Calculate the common denominator of -5*(-34)/(-34) - 366/(-40) and (2/(-2))/(24/242).
60
Suppose 56*x + 4 = 51*x + 169. Calculate the smallest common multiple of x and 1782.
1782
Let w(d) = -2*d**3 - 13*d**2 + 9*d. Let f be w(-10). Let n = -7923/13 + f. Let h = 1385 + -11009/8. What is the common denominator of n and h?
104
Suppose 3*a = -0*a - 27. Let v be (1 - (-3)/(-9))*(-54)/a. Suppose 4*f - 64 = -3*r - 12, 3*f = -v*r + 74. Calculate the smallest common multiple of 52 and r.
260
What is the common denominator of -40/27 and 121/18*((-869211)/72416 - (-9 - 3))?
53568
Let q be -2 - (-4 - -3)/((-5)/(-15)). Find the common denominator of (-3010)/480 + q/12 and -63/10.
80
Let m(y) = -y**2 - 3*y + 2. Let c be m(-3). Suppose 0 = -2*s + 12 - c. What is the smallest common multiple of (50/(-55))/s - (-246)/22 and 7?
77
Let z = -952927/233364 + 2/19447. Find the common denominator of z and -109/22.
132
Suppose -2*l + 3*d + 3788 = 0, 2*l + 5*d = -2*l + 7642. What is the smallest common multiple of l and 44?
7612
Find the common denominator of 3/84*(3 + 91/3) and -37/477.
3339
Suppose -5*s + 8*s + 2*g = -16, -s - 3*g - 3 = 0. What is the common denominator of ((-2)/(-30))/(s/(-158)) and -34/3?
45
Let n = -100 + 81. Let m be (n*(-3)/2)/((-24)/(-16)). Calculate the common denominator of 50/3 and m/3 + -5 - 1.
3
What is the common denominator of (40/(-15) - -9)*15/(-196)*2 and 64/77?
1078
Let z be (-60)/92*390/75. Let f = z - -961/46. Let o = 3/29552 + -1285659/1448048. Find the common denominator of f and o.
98
Let a(g) = -8*g**2 - 443*g - 54. Calculate the least common multiple of a(-52) and 1125.
6750
Suppose 13*s = 96 + 138. Let l(f) = -f**2 + f + 330. What is the smallest common multiple of l(s) and 72?
72
Suppose v + i = -5, 0 = 2*v + 4*i + 4 + 2. Find the common denominator of -2*(-16)/(-18) + 1 and (2/(-12))/(v/(-1036)).
9
Suppose -49*l - 3*a - 449 = -51*l, 0 = 3*a + 15. Calculate the common denominator of l/372*37/7 and 19/128.
384
Let z be ((-1)/2)/(1/48). What is the common denominator of (-63)/448*z/30 and 73/16?
80
Let j = -225 - -333. Find the common denominator of -93/2 and ((-3)/(j/(-255)))/(1/(-3)).
4
Suppose 29 = 17*j - 5. Suppose 5*k = -j*d - 18, -13 = d + 2*d + 4*k. Calculate the smallest common multiple of d and 4.
4
Let x be 7 - -1*(2 + 6). Calculate the common denominator of 1828*x/(-2520) - (-4)/(-14) and -11/6.
6
Let c = 846 + -492. Let x = 2 + -12. Calculate the least common multiple of (-6)/x + (-4 - c/(-10)) and 12.
96
Suppose 84*i - 3*p - 92 = 89*i, 3*i = 4*p - 32. Let c(y) = 1802*y**2 - 2*y - 1. Let s be c(-1). Calculate the common denominator of i and s/210 - 2/7.
10
Let c = -58 + 53. Let u be c + 0 - (-29905)/(-60). Let k = 502 + u. Find the common denominator of -65/66 and k.
132
Calculate the least common multiple of 3948 and ((-54)/891*-44 + 0 + -2)*54.
11844
Calculate the least common multiple of ((-147)/9 + 9)/(-1 - (-1)/3) and 2148.
23628
Suppose -u + 823 = u + 5*y, 5*y = 3*u - 1247. Let q = 196 - 2208/11. Calculate the common denominator of ((-1)/5)/(u/115) and q.
198
Let u be (-4)/3 - 6248/(-132). Suppose -16*v + 418 = -u. Calculate the common denominator of v and 33/119.
119
Let k(d) = 136*d**3 - 3*d**2 - 9*d + 7. Let z be k(7). Let u = z - 6502337/140. Find the common denominator of 31/50 and u.
700
Suppose -10431 = -6*r - 207. What is the common denominator of 5 + r/(-80) + 7 and 35/4?
20
Let g = 53 - 54. Let t(n) = -n + 11. Let y be t(10). Find the common denominator of -79/26 and (g/2)/y + (-256)/(-112).
182
Suppose 3*w + n = 501, -2*w = -4*n - 20 - 300. What is the common denominator of w/240 + (-212)/530 and 1/(-12)*(-64)/6?
72
Let m(h) = -h**3 - 5*h**2 + 18*h + 31. Let k be m(-7). Suppose g = 4*j + 2*g - 441, -3*g - 327 = -k*j. Calculate the smallest common multiple of 55 and j.
110
Let l(w) = -6*w - 7*w + 25*w + 30 + 4. Let f be l(-8). What is the common denominator of 85/6 and (-1)/12*f + 3?
6
Let y = 45 - 25. Let r = -133 - -121. What is the least common multiple of y and 24/((-6)/r - -1)?
80
Let u = -50640 + 50660. Let n = 194 + -108. What is the least common multiple of u and n?
860
Calculate the common denominator of (35595/(-2646))/(5/(-3)) and 17/14.
14
Suppose -n + 7 = 5*y, -4*n + 5*y = -9*n - 5. Calculate the lowest common multiple of (-510)/(-68)*(-4)/n and 129.
1290
Let g = 21 + -12. Let q = g - 7. Suppose -2*u + 5*z = -14, -u - z - 9 + 16 = 0. What is the smallest common multiple of u and q?
14
Let t = 1 - -2. Let o be -5 + t - -1 - -6. Suppose 3*d = -3*l, -o*d + 3 = 3*l - 5. What is the smallest common multiple of 2 and d?
4
Let o(h) = 27*h**3 - 3*h**2 - 12*h. Let v be o(-3). Calculate the common denominator of 8/18 - 4/(v/(-1094)) and -23/30.
30
What is the common denominator of (51/9)/(((-332800)/48)/26) and 2/((-24)/(-111)) - -2?
800
Suppose 30*g - 24060 = 20*g. Calculate the lowest common multiple of 1604 and g.
4812
Find the common denominator of ((-54)/12)/(270/306) and 71/20*(-1 - -2).
20
Let h = -473751/10 + 47370. Let a be (-27)/((-2)/4 - -2). Calculate the common denominator of (13/a)/((-4)/66) and h.
60
Calculate the common denominator of 18*7/(-8) + 1 and (-25)/330*((-6)/(-8) + (-603)/(-20)).
44
Suppose -8 = 4*t + 92. Let y = t - -50. What is the least common multiple of y and (-644)/(-63) - (-2)/(-9)?
50
Calculate the common denominator of 5/15 - (-34)/(-28) and (1/24)/((2/42)/((-2780)/(-834))).
84
Suppose -w = 2*p - 2320, -8*w - p = -12*w + 9235. What is the smallest common multiple of 14 and w?
2310
Let y = 3814 - 3634. Calculate the least common multiple of y and 200.
1800
Let y(i) = 7*i + 196. What is the smallest common multiple of y(46) and 148?
1036
Calculate the common denominator of -46/297 and 1186/(-648) - (-8)/12 - (20 + -21).
3564
Let f = -6 - -11. Suppose 0*n + 30 = f*n. Let o(t) = -6*t**2 - 323*t + 74. What is the lowest common multiple of n and o(-54)?
60
Let n = 6156/32639 + -20/127. Let p = n + -38855/1542. What is the common denominator of (((-354)/(-8))/(-1))/6 and p?
24
Let j be 1/(9/123)*27. Let s = j + -309. Calculate the least common multiple of s and 10.
60
Let f = 602183959/1110 + -542508. What is the common denominator of f and -109/104?
57720
Let s = -68 - -102. Suppose -x + s = 4*l - 10, 0 = l + 2*x - 18. What is the lowest common multiple of l and 23?
230
Calculate the common denominator of (2369/4025 - 0)/(4/10) and 8/259.
2590
Find the common denominator of 101/1180 and (3/(-36))/(236/17877).
4720
Find the common denominator of 53/196 and 45/(-12)*(-1243)/(-9492).
784
Suppose 2*z = -4*c + 640, -3*c = 6 + 9. Suppose -4*m - z = -2*b + 322, 3*b - 969 = 3*m. Calculate the lowest common multiple of b and 8.
320
Let v = -49392 + 3457381/70. Calculate the common denominator of v and 47/301.
3010
Suppose -3*u - 3*l + 25 = 2*u, 3*l = 15. Suppose 25 = 5*f, 5*m - u*f = 20 + 50. What is the least common multiple of m and 44?
176
Calculate the common denominator of -13/44 and ((-162)/(-405))/((-11)/40).
44
Let c be (-2)/120*107922/18840*-4. Let m = c + 3