j = -574 - -1507. Let w be (j/930 + -1)*6931/(-4). Let f = 11/310 - w. What is the common denominator of f and -49/2?
8
Let k(y) = 12*y**3 - 6*y**2 + 4*y - 2. Let h be k(-6). Let l = -1819 - h. Find the common denominator of -3 + l/90 - 5 and 77/20.
180
Let r be 128/3 + 16/48. Let g = -37 + r. Suppose 2*o + 56 = 5*c, -2*c = -o - 2*o - 18. What is the least common multiple of g and c?
12
Let v(g) = -15*g - 10. Let h be v(-6). Suppose 2*l - 3*a = -2*l + h, 0 = -l + 2*a + 20. Find the common denominator of (-6)/72*2*-39 and l.
2
Let s(f) = -37*f - 12. Let r be s(-4). Let b = r + -115. Find the common denominator of -27/8 and 62/b*(-30)/(-20).
56
Calculate the common denominator of -3 + 0 + 239/88 and 1 - 0 - (30/(-45))/((-208)/3627).
88
Let i = -1868621/50 + 37374. Find the common denominator of 4/(-6) - 776/(-3060)*3 and i.
850
Suppose -5*s = -3*r - 225, 14*r - 12*r = -10. What is the least common multiple of s and 135?
1890
Let t = 181 + -178. Calculate the lowest common multiple of t and 1/((4 - 3) + (-83)/84).
84
Suppose -5*r - 240*q = -235*q - 3690, -q = -8. What is the smallest common multiple of 18 and r?
6570
Suppose -2*a - a = n - 3, 4*n + 2*a + 28 = 0. Find the common denominator of 43/6 and (-84)/432*30/n.
54
Let v(y) = -y**2 + 16*y - 48. Let c be v(12). Suppose -14*f + 4*f + 560 = c. Calculate the smallest common multiple of 21 and f.
168
Find the common denominator of -67/1620 and ((-1435)/(-164) + -17)/(30/14).
1620
Suppose -4*b + 2*u = -3*u - 6, 0 = -5*b + 5*u + 10. What is the lowest common multiple of b and -42*(-64)/(-42)*1260/(-560)?
144
Let y(x) = -91*x**3 + 2*x**2 + x + 4. Suppose -14*t + 18*t = -8. What is the lowest common multiple of 18 and y(t)?
738
Let b be ((-8)/((-48)/15))/((-5)/(-4)). Find the common denominator of (0/(-3) - (-129)/(-6))*b and (9/(-24))/((-210)/72).
70
Let f(h) = 182*h**2 - 9*h - 92. What is the least common multiple of f(-3) and 26?
3146
Let q(u) = u**2 - 1. Let y be (234/(-65))/(3/(-17 + 2)). What is the smallest common multiple of q(-2) and 112/y + 6/(-27)?
6
Let x = -1304 - -1331. Calculate the least common multiple of x and 27.
27
Let g = 882 + -26471/30. What is the common denominator of g and 25/11964?
59820
Suppose 2*t = -c + 17, -2*t = -2*c - 7*t + 40. Let j(x) = -x**3 - 4*x**2 + 6*x + 9. Calculate the smallest common multiple of j(-5) and c.
20
Calculate the common denominator of -76/525 and (-1)/((-25)/79) - (-3 - (-5 + -2)).
525
Let h be (-2)/10 + (-27338)/(-220). Let w = 26794 - 133354/5. Let j = w - h. What is the common denominator of j and 7/16?
176
Let l be (-113121)/144810*207/21. Let t = l + 1/11263. Calculate the common denominator of 57/85 and t.
170
Let t = -17789611/10 - -1777218. Let k = -1746 - t. Calculate the common denominator of k and 101/60.
60
Let i(b) = -202*b - 387. What is the smallest common multiple of 3 and i(-2)?
51
Suppose -2*h + 5813 - 1376 = p, 5*h - 11125 = 4*p. Let r = -48907/22 + h. Calculate the common denominator of r and 41/2.
22
Let y = -34227064985/96 - -356486337. Let f = y - -45591. Find the common denominator of 9/44 and f.
1056
Suppose 4*s - 122 = 2*j, -j + 2*j = -5*s - 75. Let c(g) = 15*g - 10. Let x be c(-5). Let v = j - x. Calculate the least common multiple of v and 32.
160
Calculate the common denominator of (-68)/72 - 4/(-18) and 2/1 + ((-854)/(-140) - -2).
90
Suppose -22 = 2*g - 3*n, -3*g = 2*n + 33 + 26. Let c = g + 23. Find the common denominator of 3 + 812/180 + c/(-15) and 7/10.
90
Let i(t) = -t**3 - 4*t**2 - 2*t + 1. Suppose -54 + 9 = 9*x. What is the lowest common multiple of 44 and i(x)?
396
Suppose -2*n - 7*x + 3*x = 112, 4*n + x + 210 = 0. Find the common denominator of 30 + -24 + 270/40 and 22/n + (-2)/(-2).
52
Let j be ((-5057)/6)/(40/88). Let t = -5542/3 - j. Calculate the common denominator of t and 31/20.
20
Let a = -36979/2386 + -2/1193. Let s = 56 - 58. Find the common denominator of a and ((-99)/s + -3)*2/150.
50
Let p be 4/((-4)/(-4)) - 3. Let w(o) = -3*o**3 - o**2 + 3*o - 3. Let u be w(p). What is the smallest common multiple of 14 + u/4 + -1 and 22?
132
Suppose 24958 = -314*t + 70174. What is the smallest common multiple of t and 24?
144
Let b = -185 + 1169/6. Let n = -106857/14 + 7627. Find the common denominator of b and n.
42
Let v = -383 + 728. Suppose v = -5*l + 30. Calculate the common denominator of (50/4)/(l/(-6)) and 42/11.
231
Suppose h + 4 = 5. Let t be (1 - -11)/4 + h. Suppose -4*d = t*n - 24, -n - 5*d + 16 = -10. What is the smallest common multiple of n and 11?
11
Let x = -41/48981738002 - 13228160375570926857/41046696445676. Let c = x + 322271. Find the common denominator of 33/2 and c.
1676
Let t = 776415/13 + -59755. Let x = -134854393/104 - -1296716. Let k = t + x. Find the common denominator of 5/2 and k.
8
Let g = 155769 + -155765. Suppose 15 = k + 6. Calculate the lowest common multiple of g and k - -1*6/3.
44
Let p = -7201/7 + 1023. Find the common denominator of ((-45)/(-180))/((-18)/(-8))*-47 and p.
63
Suppose -3*p = -5*c - 627, -3*p = -2*c - 415 - 230. Calculate the least common multiple of 876 and p.
876
What is the common denominator of 2 - (-700)/(-60) - -5 and (545/(-24))/(-5)*-2?
12
Let u = -266792 - -102714978/385. What is the common denominator of 101/280 and u?
3080
What is the common denominator of (((-1044)/(-610))/(-9))/(4/(-15)) and (-52)/(-104)*(-123)/5?
610
Suppose -19*i + 24*i - 2235 = 0. Suppose 0 = -5*b - i + 3342. Let v = b + -3551/6. What is the common denominator of v and 79/56?
168
Let c(r) = -97*r - 676. Let h = -13 + 18. Suppose -48 = -h*i + 4*g - 2*g, 3*i - g - 28 = 0. Calculate the smallest common multiple of i and c(-7).
24
Suppose -5*f + 3*h + 4056 = 0, 2*h - 1652 + 36 = -2*f. Calculate the smallest common multiple of f and 1620.
1620
Let v = -3827 + 3903. What is the lowest common multiple of v and 8?
152
Suppose 5*b = -p + 9, 0 = 5*p - 11*b + 10*b - 97. What is the smallest common multiple of p and 95?
95
Let s = -23 - -38. Let v(h) = -h**3 - 53*h**2 - 676*h + 243. What is the least common multiple of v(-31) and s?
285
What is the lowest common multiple of 624 and (493818/(-117))/(-13) - 4/6?
16848
Let a = 3921/2 + -1938. Calculate the common denominator of -63/7174 and a.
7174
Suppose -2*c = -4*h + 2, 0*h + 4*h = -c + 29. What is the common denominator of ((-42)/72)/(5/c) and (((-10)/(2000/170))/(-2))/(2/14)?
40
Let l = -170323/1335 - -1922/15. What is the common denominator of 0 - (17/(-8) + -2) and l?
712
Let x(p) = -p**2 - 7*p + 73. Let q be x(-11). Let r(a) = 2*a**3 - 57*a**2 - 25*a + 4. What is the least common multiple of r(q) and 4?
120
Let b(w) = w**2 + 3*w + 5. Let r(c) = 53*c**2 - 27 - 48*c**2 + 22*c - 13. What is the least common multiple of b(-4) and r(2)?
72
Suppose 0 = -3*o + 7 + 17. Suppose -11 + 107 = -o*z. What is the common denominator of 83/20 and 8/z - 124/120?
20
Let i(r) = 3*r**2 - 5*r + 4. Let z be i(2). Let u be (-81)/264*(-40)/z. Let y = -170/11 - u. What is the common denominator of -87/94 and y?
94
Find the common denominator of 25/(-200) - 2*(-469)/(-52080) and -53/3255.
6510
Suppose 7*k - 236 - 16 = 0. What is the common denominator of 56/39 and (-186)/k - (-5 + 3)?
78
Let r be -1 + 2 + (-936879)/84. Suppose 0 = -53*c - 374788 - 216215. Let f = r - c. Calculate the common denominator of f and -51/28.
28
Let m = 15662 - 13297037/849. Calculate the common denominator of m and -99/1132.
3396
Let t(d) = -12*d - 48. Let l be t(-26). Find the common denominator of -63/10 and l/(-400) - 4/10.
50
Let h(o) = 810*o - 9. Let c be h(2). Let s = 333493570/204681 + 2/68227. Let z = s - c. What is the common denominator of -41/15 and z?
15
Calculate the common denominator of 29/3408 and (63324/2556 + -24)/(-1 + 1 - -42).
23856
Let d = -355 + 66031/186. Find the common denominator of d and 190/(44/4 + -3).
372
Let t = 44 - 30. Let c be 49/14*(-32)/(-8). Let b = c + 2. Calculate the lowest common multiple of b and t.
112
Suppose 0*a + a = 2*k + 51, 0 = -4*a - 2*k + 224. What is the common denominator of 17886/(-3740) - (-3)/(51/(-2)) and 1834/(-528) + 10/a?
120
Suppose -4*b - 183 = -2*u - 47, 2*b + 3*u = -68. What is the common denominator of 5*b*(-19)/(-1368) and -33/32?
288
Find the common denominator of 11 + 5552/(-440) - (-64)/40 and -2/2325.
25575