/40.
40
Let g = 5295305 + -1991036917/376. Let x = 114/47 - g. Find the common denominator of ((-23552)/598 + 42)/(12/3) and x.
104
Suppose 5*s - 3*s + 3440 = 0. What is the common denominator of -16/15 and -2*(-1)/2 + s/900?
45
Suppose 0 = 5*r - r - 208. Let y = 469 + -456. Let c(p) = 8*p**2 - 105*p + 15. Calculate the lowest common multiple of c(y) and r.
52
Suppose 0 = -4*a + 7755 + 1133. Let y = a - 26623/12. Let c = -20505/4 - -5101. What is the common denominator of y and c?
12
Let h(a) = 4*a - 28. Let v(k) = 2*k - 6. Let g(n) = n**3 + 6*n**2 - 8*n - 1. Let w be g(-7). What is the least common multiple of v(w) and h(11)?
48
Let c(v) = -v**3 + 10*v**2 - 4*v - 5. Let y be c(5). Suppose -3*p - y = -8*p. Let u = 927876 - 927720. Calculate the least common multiple of u and p.
780
Let d = -35495 + 36283. What is the lowest common multiple of 985 and d?
3940
Find the common denominator of (-15)/20 + 802/120 and (-63953)/(-53940) - (-14)/(-203).
60
Let w(y) = -54*y - 135. Let d(r) = 3*r + 114. Let b be d(-40). Calculate the smallest common multiple of w(b) and 42.
378
Let m = 5/4239 + -117334/46629. Calculate the common denominator of 10/(-180)*6 + 133/24 and m.
264
What is the least common multiple of 5 and ((-4)/(-2))/(98/44051)?
4495
Let k(n) be the first derivative of n**4/4 - 5*n**3/3 - 3*n**2/2 - 12*n - 128. Calculate the smallest common multiple of k(6) and 3/2 + 2/4.
6
Let y = 2858 + -180035/63. Calculate the common denominator of y and (-27)/63 - 1/(1 - -8).
63
Let q be (-21)/6 + 3 - 35/(-2). Suppose q*a = -230 + 43. What is the common denominator of 0 + (-30)/4 + -1 and a?
2
Suppose 5*l = 2*l + 45. Let a(d) = -d**2 + 13*d + 12. Let y be a(l). Find the common denominator of (-6)/(-9) - y/(-8) and 71/14.
84
Let t = -59981/11130 + 25/1113. Let x = 15482645/306 - 50597. Find the common denominator of x and t.
1530
Let w = -88/13845 + -37625/3577548. Calculate the common denominator of -151/1938 and w.
19380
What is the lowest common multiple of 480 and ((-32400)/(-18))/10*(-88)/(-6)?
5280
Let t be 366/2*5*(-4)/(-60). Let n = t + -58. Suppose 0 = -3*z + n + 9. What is the least common multiple of 11 and z?
44
Let c(f) = f**3 - 28*f**2 + 7*f - 53. Let t be c(28). Let l = t - 113. What is the smallest common multiple of 37 + 12/(-9)*3 and l?
330
Let c = -1108 - -1987. Let o = c + -18425/21. Find the common denominator of o and 41/10.
210
Find the common denominator of 43/9 and 739/(-2142) - (-18)/162.
2142
Let l(o) = -7*o**2 - 210*o - 154. Calculate the least common multiple of 42 and l(-27).
2478
Let a(c) = c**3 + 14*c**2 - 4*c + 3. Let g be a(-14). Let x = g - 43. Suppose 0*f = -8*f + x. Calculate the lowest common multiple of f and 22.
22
Suppose 4*l - 3*w - 29 = 0, -5*l + 6*l - 2*w - 11 = 0. Suppose l*o = 6 + 79. Calculate the smallest common multiple of 170 and o.
170
Let y be (1260/(-64) + 1)*-222. Let u = y - 4143. Let b = -1/50 - 429/50. Find the common denominator of u and b.
40
Suppose 794*g = 659*g + 27945. What is the smallest common multiple of 2097 and g?
48231
Suppose 5*v + 192 = 8*v. Suppose -6 + 62 = 4*y + a, -4*y = -a - v. What is the lowest common multiple of 9*4/(-10)*25/(-15) and y?
30
Suppose -1444*a = -1479*a + 34755. What is the lowest common multiple of 9 and a?
2979
Let q be (28970/48)/(12/8). Let m = -1639/4 + q. Let s = 136388/33 + -4134. Calculate the common denominator of s and m.
198
Suppose 22553 = 41*p + 2217. Suppose -2*t = -3*q + p, 5*q - 820 = -8*t + 10*t. Calculate the lowest common multiple of q and 198.
1782
Let d(i) = 66*i**2 + 3*i - 3. Let a = -4279 + 4285. Calculate the least common multiple of a and d(1).
66
Let t be 11/11 - ((-26)/(-2) - -2). Let r be 112 + -1 - (t + 13). Calculate the common denominator of (-16)/56 - ((-830)/r)/1 and -131/18.
72
Suppose 24*n - 9*n + 90 = 0. Calculate the smallest common multiple of 2/((-2)/(-2)*2) and (-4)/(66/12 + n).
8
Let r be 920/280 - (-2)/(-7). What is the least common multiple of 24 and 274/3 - (r - 22/6)?
552
Suppose -216 = -4*m + 2*f, 5*m + 5*f = m + 244. Calculate the lowest common multiple of (530/170 + (-10)/85)*(-35)/(-3) and m.
280
Let s be (-2)/(-12) + 4/((-1063320)/44215). Let t = 1001365/212664 - s. What is the common denominator of -59/18 and t?
72
Suppose 270 = -12*u - 522. What is the common denominator of 139/6 and (14/1596)/(9/u)?
342
Let m(p) = 50*p**2 - 23*p + 74. Calculate the least common multiple of m(3) and 325.
2275
Suppose 6*f - 2*f + 134 = -3*q, f = -2*q - 91. Suppose -704 = 11*a - 88. Let x = q - a. Calculate the smallest common multiple of x and 18.
90
What is the common denominator of ((-156)/16)/((-156)/91) and -99/80?
80
Calculate the common denominator of (0 - -4) + 6 + ((-2516084)/8064)/31 and -103/144.
2016
Suppose -4*p - 13*p = -4*p. Suppose 0 = 5*a - p*g - 3*g - 223, 3*a + g - 131 = 0. Calculate the least common multiple of 64 and a.
704
Let c = -118/1867 + 423913/5791434. Find the common denominator of c and 109/198.
9306
Suppose 281*w - 4734 - 11283 = 0. What is the lowest common multiple of (1 - -1) + 32/2 and w?
342
Let x = -643314/25 - -25734. What is the common denominator of x and 13/38?
950
Suppose 5*g + 0 = 20, 0 = 2*p + 5*g - 26. What is the least common multiple of 14 and (p/8)/(19/(-76))*-4?
42
Suppose 3*o = -3*i - 219, 94 = -i - 4*o + 18. Let v be (-2 - (-66)/15)*(-60)/(-18). Calculate the common denominator of 790/i*v/20 and -71/12.
36
Let n(r) = r**3 - 10*r**2 + r - 3. Let d be n(10). Suppose -48 = 3*f - d*f. Calculate the least common multiple of 12*8/(-120)*5 + 28 and f.
24
Let b(d) = 9*d + 8*d - 20*d + 2*d. Let f be b(-1). Suppose k + 120 = 5*s, s - 23 - f = 3*k. What is the smallest common multiple of 11 and s?
264
Suppose 2*r + 4*r + d = -13, 5*r + d = -10. Find the common denominator of -55/237 and (-436)/(-120) - r/2.
1185
Calculate the common denominator of -107/1150 and 1/2*(22 - (-2765)/35).
1150
Let u = 13701017/108 + -126860. What is the common denominator of 127/24 and u?
216
Let l = 174399685/474 - 367932. What is the common denominator of 5/12 and l?
948
Let j be (-22)/88 - 5*(-185)/4. Suppose -3*p = -f + 63, -5*p - j = -2*f - 2*f. Calculate the least common multiple of 36 and f.
108
Let h be (-14528)/(-12870) - (1 - (-36)/(-44)). Let w = h - -14/117. Find the common denominator of -131/72 and w.
360
Let v = -219 + 234. Let i = -6 - -8. Calculate the smallest common multiple of (-4 + (-112)/(-12))*v/4 and i.
20
Let y(w) = -w**3 + 8*w**2 - w + 8. Let i be y(8). Let d be ((-42)/(-7))/(-1 + i). What is the lowest common multiple of ((-21)/d)/((-3)/(-6)) and 6?
42
Let v(l) = -l**3 - 7*l**2 - l - 3. Let s(k) = -27 + 0 - 19*k**2 - 16*k**2 + 36*k**2 + 7*k. Calculate the least common multiple of s(-11) and v(-7).
68
Let l = 24757439/183000 + 39/7625. Let w = -797/6 + l. Find the common denominator of w and ((-237)/36 - 1) + 1.
24
Find the common denominator of (13/(-120))/(744/3348) and (-1)/(-4)*238/(-15).
240
What is the least common multiple of -6 - ((-51)/17 + -24) and 114?
798
Let s = 9693/8 - 1210. What is the common denominator of -32 + 24535/924 - (-4)/11 and s?
24
Suppose -2*t + 10 = 4*o, 16*t - 19*t + 5*o + 37 = 0. Let m(s) = -s**2 - 8*s + 159. Calculate the least common multiple of m(t) and 16.
48
Let o = -153 - -145. Calculate the common denominator of o/(-2) + (-581)/70 and -87/20.
20
Suppose -l - 11 = 3*p, -3*p + 0*p = 9. Find the common denominator of ((-2)/7 - ((-1924)/224)/13) + (-3188)/797 and (0 + l)/((-40)/194).
40
Let r(u) be the second derivative of -23*u**3/3 - u**2 + 18*u. Let g be r(1). Let j = g + 52. Calculate the smallest common multiple of 6 and j.
12
Let l = -23112929/29328 - -12609/16. Calculate the common denominator of -103/30 and l.
18330
Let d = 2191 + -854537/390. Calculate the common denominator of d and 119/130.
390
Let a be (30/300)/((-1)/(52396/66)). Let b = 841/11 + a. Find the common denominator of b and 2/2 - (-140)/(-6).
15
Calculate the smallest common multiple of (-4)/(-8) + (-750)/(-28) + 22/(-77) and 8469.
25407
Find the common denominator of -16/5575 and (-230)/504 + (-372)/(-13392).
39025
Let q(s) = -134*s**3 + s**2 + s. Let r be q(-1). Suppose 2*p = 3*i - 8, i + i = -p - 4. What is the common denominator of (-1)/(-520)*r + 0 - i and -13/16?
1040
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