nd (-3604)/(-104) - 18/117.
8
Let h be 195729/56 + 10/(-35). Let z = -3490 + h. Calculate the common denominator of (1 - -1) + (-19)/3 and z.
24
Let n(z) = -z**2 + 11*z - 3. Let a be n(12). Let y = a + 18. Calculate the least common multiple of 1/(3/18*y) and 11.
22
Let g = -4 + 14. Let m be g - 9/(-1 - -4). Suppose -2*y + m = -y. Calculate the smallest common multiple of y and 6.
42
Let t = -867 - -58955/68. Let a = -2641/748 + t. Find the common denominator of -2 + 99/21 - -2 and a.
77
Let k = 2/1189 - -48721/16646. Find the common denominator of k and 57/4.
28
Suppose -5*d - 79*p = -77*p - 173, -4*d + 5*p = -112. What is the lowest common multiple of 99 and d?
99
Let j(m) = 5873*m**2 + m. Let p be j(-1). Let s = p + -10451/2. Let y = 623 - s. What is the common denominator of y and -79/6?
6
Let n = -15915482/1467 + 10849. Let w = n - 16145/11736. Find the common denominator of 2 and w.
8
Suppose -8*t - 24 = -4*t. Let u = 13/102 - 1805/357. What is the common denominator of u and (9/18)/(t/47)?
84
Let v(t) = 12*t + 6 + 5*t**2 - 4*t**2 - t**2 + t**2. Calculate the least common multiple of 4 and v(-12).
12
Suppose 0 = 27*b - 21*b - 60. Suppose 0 = 3*j - 4*j + 2. Suppose -s + 4*s + p = 103, -j*s - 5*p = -73. What is the lowest common multiple of s and b?
170
Suppose 4*q - 275 + 83 = 0. Calculate the lowest common multiple of 24 and q.
48
What is the common denominator of 109/12 and (-2)/108*9/(-48)?
288
Let d = 22476 - 404449/18. What is the common denominator of d and -3 + (-1)/((-64)/(-148))?
144
Suppose 0 = -0*h - h - 2*m + 4, -4*m + 26 = 5*h. What is the common denominator of 1/h + ((-888)/(-126) - 4) and -9/22?
154
Suppose f + 10 = -f, 26 = a - 2*f. Suppose 3*v - 3000 = 4*p, 3*v + 0*v + 2*p - 2982 = 0. Calculate the common denominator of 29/11 and (v/a)/((-27)/(-6)).
66
What is the lowest common multiple of 56 and 175/5 + 15/(-5) + -2?
840
Let f(p) = p**3 + p**2 - p - 3. Let b be f(0). What is the common denominator of -107/10 and 67/((b/2)/(6/64))?
80
Suppose 3*x - 100 = -4*f, f - 1 = -3*x + 105. What is the smallest common multiple of 18/(-5)*(-120)/x and 8?
24
Let g(i) = i**2 - 2*i - 8. Let p be g(6). Let f(k) = 9*k + 139. Let c be f(-14). Let y = c + p. Calculate the lowest common multiple of y and 3.
87
Let f(d) = -d**3 + d**2 + 6. What is the smallest common multiple of f(0) and (1170/54 - 23)/(1/(-3))?
12
Let c = 258924418970 - 27388248264919588/105777. Let v = 2/11753 + c. Calculate the common denominator of v and 262/(-80) - 10/(-25).
72
Suppose 24 = -3*m + 33. Let r(q) = -q**2 - 11*q - 5. What is the least common multiple of r(-9) and m?
39
Let u be -2*-3*(-1)/2. Let z be (0 - -13)*-2*8/(-16). Let r = u + z. What is the lowest common multiple of 2 and r?
10
Suppose -126 = 15*s - 22*s. What is the least common multiple of s and 42?
126
Let u be 3/(9/(-6562)) + 16/(-24). Calculate the common denominator of u/288 + (-4)/(-18) and -41/8.
8
Let d = -9 - -126. Find the common denominator of 25 and 4/(32/d)*2/(-24).
32
Let x = 4396633/80400 - 17533/400. Let d = x - 5/268. Find the common denominator of d and 23/33.
66
Let m(i) = -i**3 - i**2 + 2. Let p be m(-2). Find the common denominator of -107/20 and 9/p + (-82)/22.
220
Calculate the common denominator of (54/(-43128))/((-17)/10 + 2) and -27/10.
5990
Let c = -428 + 518. Calculate the least common multiple of 11 and c.
990
Suppose -5*f + 28 + 47 = -4*j, -j = 5*f + 25. Let x be (-4)/j - (-22)/(-10). What is the common denominator of 56/11 and (-5 - -54)*(-1 - x)?
11
Find the common denominator of 2*2012/624 + -5 and 43/13.
78
Let p = 42025 - 3950399/94. Calculate the common denominator of p and 73/2.
94
Suppose -60*x + 55*x = -10. Suppose x*u + 2 = -p, -3*u - 25 = -3*p + 5. Let j = 1 + 5. What is the least common multiple of p and j?
6
Suppose c + 9 = -2*c. Let t = -6259 + 6275. Calculate the lowest common multiple of t and (-1 + c/(-5))*-45.
144
Let d = -2830 - -2835. Let z = 1 + 12. What is the smallest common multiple of d and z?
65
Let a = 3 - -5. Let w(h) = h**2 + 3*h - 2. Let y be (3 - 1)*9/6. What is the lowest common multiple of w(y) and a?
16
Suppose -2*i = -x - 121, -x - 59 = -3*i + 122. Calculate the least common multiple of i and 10.
60
Suppose 9 = 3*n - 3. Suppose 0 = 2*t - n*t + 20. What is the least common multiple of -2*((-36)/(-8))/(-3) and t?
30
Let k = 1188 + -1176. Calculate the smallest common multiple of k and 87.
348
Let n = 1250 + -1241. What is the smallest common multiple of 402 and n?
1206
Suppose -12*w = 4*w + 32. Find the common denominator of 53/6 and (-2)/(w + (-88)/(-49)).
30
Let y = -12 + 20. Let k(b) = -b**2 + 4*b + 2. Let n be k(4). Let j = n + 0. What is the smallest common multiple of y and j?
8
Let o = 32 + -29. Calculate the lowest common multiple of (56/(-7))/(-4 + o) and 6.
24
Calculate the common denominator of 51/44 and (202/(-77))/((-204)/119).
132
Calculate the least common multiple of (8 - 5 - -34) + 19 and 4/(-16) + (-33)/(-4).
56
Let m = -86 + 90. Let u be 369/5 - 3/(-15). Suppose 0 = 4*r - b + 3*b - u, b + 53 = 3*r. What is the lowest common multiple of m and r?
36
Let f be ((-10)/4 - -2) + 135/10. Let j(a) = 3*a - 33. What is the lowest common multiple of j(f) and 9?
18
Let j = -187 - -247. What is the lowest common multiple of 16 and j?
240
Let i(r) = -r**2 - 5*r - 1. What is the common denominator of i(-9) and (-6 - 23)/((-18)/(-4))?
9
Let o = -1155 + 25395/22. Let w = -5453/792 - -1/99. Find the common denominator of w and o.
88
Let g(p) = -p - 5. Let h be g(-17). Suppose -h*b - 140 = -19*b. What is the lowest common multiple of 4 and b?
20
Let d = 74 + -9. What is the least common multiple of 60 and d?
780
Suppose -1620 = -10*k - 2*k. Suppose -k = -7*q + 187. Calculate the least common multiple of 8 and q.
184
Let t(h) = h**3 - h**2 + h - 2. Let f be t(-2). Let i be -10 - -5 - -8 - (0 - -1). Calculate the lowest common multiple of 7 and i/(2*(-2)/f).
56
Let l(c) = -c**3 - 8*c**2 - 14*c - 8. Let q be l(-6). Suppose 40 = 5*b - 0*b. Calculate the lowest common multiple of b and 34/q + (-30)/(-4) + -8.
8
Let k = -562333379/35580 + -7631/1779. Let x = 15813 + k. What is the common denominator of x and 67/3?
60
Let g(o) = -2*o**2 - 48*o - 8. Calculate the smallest common multiple of g(-22) and 6.
240
What is the least common multiple of 73/7 - 54/126 and 470/25 + 1/5?
190
Let u(s) = 3*s + 6. Let t be u(-3). What is the common denominator of 27/2 and t - (0 - 45/80)?
16
Let z = 2/21059 - -2379647/210590. Calculate the common denominator of -11/50 and z.
50
Let l = 8849/4 - 2196. Let w = 751 - 55575/74. Let f = w + 3595/444. What is the common denominator of l and f?
12
Let p = 613697/36 - 17046. What is the common denominator of p and 43/20?
180
Let r be (-7 - -4)/((-1)/668). Let w = -2/5808865 - -162561087053/81324110. Let o = r - w. Find the common denominator of -67/22 and o.
154
Let i = 254 + 587. Let z = i + -3425/4. Let a = 5481/4 + -1381. What is the common denominator of z and a?
4
Let l = 1680927/68 - 24719. Find the common denominator of l and ((-256)/2688)/(24/(-777)).
204
Suppose -14 = -3*h - 0*h - 5*p, 4*h - 30 = -p. What is the smallest common multiple of h and ((-8344)/168 - -48) + (-52)/6*-1?
56
Suppose 0 = 5*l - 0*l + 4*c - 165, 0 = 5*c. Suppose 2*r - 6*r + 132 = 0. What is the least common multiple of r and l?
33
Let r be (-518)/(-3) + 8/(-12). Calculate the common denominator of r/80 + 3/(-6) and -125/12.
60
Let y = -52013/6 - -8692. Let h be 338878/22 - ((-27)/6)/3. Let t = 15400 - h. Find the common denominator of t and y.
66
Let c(i) = -2*i**2 + 19*i - 4. Let b be c(9). Suppose 2*o - 6 = 0, b*o - 42 = -4*l + 3*o. Calculate the lowest common multiple of 11 and l.
99
Suppose 619 = 7*y + 17. What is the lowest common multiple of y and 12?
516
Let r = -638 - -652. Calculate the lowest common multiple of r and 32.
224
Let c = 12 + -4. Let s be (c/5)/(7/210). Suppose -3*t = -6*t + s. Calculate the smallest common multiple of t and 36.
144
Let l be (19/(-2))/(9/311). Let a = 665/2 + l. Let i(z) = z**3 - z**2 - 9*z + 8. What is the common denominator of i(4) and a?
9
Let i = 14 + -12. Suppose -4*y - b = -62, -i*y + 3*b = -3*y + 10. Calculate the least common multiple of 10 and y.
80
Let x(k) = 5*k**2 - 2*k. What is the 