(k) = 6*k - 64. Let t be m(20). What is the common denominator of -13/8 and (-395)/t - 9/(-21)?
8
Suppose 0 = 2*o - 5*s + 20, 5*o + 10 = 3*s - 2. Suppose -4*n = 3*u - 27, 5*n + o*n = 0. Calculate the least common multiple of u and 10.
90
Let s = -528443/7 - -75682. Let l = s + -1276/7. What is the common denominator of l and -14/3?
21
Suppose 2*w - 74 = -7*u + 5*u, 0 = -5*w + u + 179. What is the least common multiple of w and 40?
360
Let r = 3685/508 - 1/254. Find the common denominator of r and 37/140.
140
Suppose -11*m + 36567 = -26067. Calculate the least common multiple of m and 8.
22776
Suppose 3 + 53 = 4*b. Let q = 49 + -50. Calculate the smallest common multiple of b and q/(-4) - (2 + (-195)/20).
56
Find the common denominator of 13/4 and 221716/(-71445) + 3 - 4/(-30).
1732
Let v = 171 - 166. Find the common denominator of 17 and 2*v/(-70) - 772/84.
3
Suppose 60 - 16 = 11*o. Suppose t = -o*t + 3*w + 54, 4*t - 5*w = 38. What is the least common multiple of t and 6?
12
Let w be (0 - -1 - -6)/(-1). What is the common denominator of 56/(-48)*115/w and 17/14?
42
Let q be 1 + (1 - 92923/(-12)). Let y = q + -7741. Find the common denominator of y and (-2)/(-20) - 3664/1440.
36
Suppose -3*x + g + 21 = 0, -5*g + 35 - 12 = x. Let s = 0 - -29. Let o = -20 + s. What is the least common multiple of x and o?
72
Let f = 6183/34 + -182. Let n = -84469/10 - -8435. Calculate the common denominator of n and f.
170
Let s = 1/162 - 527/81. Calculate the common denominator of s and 99/104.
104
Suppose 0 = m + 3*r + 13, -2*r = 2 - 0. Let w = m - -15. Let c = -9 + 18. What is the lowest common multiple of w and c?
45
Suppose -2*v - 7 = -3*v - 3*h, 28 = v - 4*h. Let j be (-2 - 14/(-4))/((-1)/6). What is the least common multiple of v and ((-6)/j)/(1/15)?
80
Suppose -36 = -x - 2*x. Find the common denominator of 26/5 and (86*(-1)/(-6))/(x/(-18)).
10
Let r = -4 - -7. Suppose -r*z + 20 - 2 = 0. Calculate the least common multiple of (21/14)/((-1)/(-4)) and z.
6
Suppose 2*c = 5*c - 9. Let g be -3 + 18/(-2)*-1. Suppose 2*t = 4*j - 12, 5*j = 3*t + 2*j + g. What is the smallest common multiple of t and c?
6
Let w(x) = -x**3 - 11*x**2 + 11*x - 16. Let q be w(-12). Let g = q - -38. Let b(a) = 4*a - 8. Calculate the lowest common multiple of g and b(7).
340
Let d = -76771 + 225425/3. Let k = -1612 - d. Calculate the common denominator of k and 1/24.
24
Let m(p) = p**2 + 1. Suppose 2*d - 4 = -8. What is the smallest common multiple of 9 and m(d)?
45
Let f(b) = -b**3 + 3*b - 2. Let w be f(2). Let l be ((-9)/(18/w))/(-1). What is the lowest common multiple of 4/(l - (-24)/9) and 10?
30
Suppose -5*f + 36 = 4*t, 0*f - f = 4*t - 52. Let j = 0 - 4. Calculate the smallest common multiple of j/(22/(-6) + 3) and t.
42
Let d be 144/(4/((-80)/(-38))). Let a = 18925/266 - d. Calculate the common denominator of a and (-8)/48 - 178/66.
154
Let h(b) = b + 1. Let s be h(-4). What is the common denominator of (-6)/4*832/390 and 1/2*s - 18?
10
Let t = 82220 - 11839795/144. What is the common denominator of -145/12 and t?
144
Suppose -23*n = -28*n + 40. What is the common denominator of -115/12 and 2*1 + n/(576/(-1050))?
12
Calculate the lowest common multiple of ((-126)/8)/((-6)/16) and 49.
294
Let d = 386837849332977 - 1330555861430211079341/3439570. Let l = 21/36206 - d. Let f = -7/19 + l. Calculate the common denominator of f and 101/2.
10
Let g(p) = -11*p**2 + 4. Let f be g(2). Find the common denominator of (-15)/60 - (-494)/f and -17/7.
35
Find the common denominator of -51/247 and ((-21)/(-24))/(475/60).
2470
Let a(z) = -6 + z**3 - 8*z + 5*z - 12*z**2 - 9*z. What is the lowest common multiple of a(13) and 9?
63
Let t(n) = -12*n + 404. Suppose 5*k + 4*r - 130 = 0, 7 = 3*r - 8. What is the least common multiple of t(32) and k?
220
Let k = -353 + 2455/7. Let p be 187/55 + (-4)/10. What is the common denominator of k and (-167)/(-46) + p/(-2)?
161
Suppose 37*a - 117 = 364. Find the common denominator of a and -3/2.
2
Find the common denominator of 291/(-16)*3/9*-2 and 37/10.
40
Let g be 6/24 + (-25923)/28. Let h = -924 - g. Find the common denominator of 4 + (1386/8)/9 and h.
28
Let p(c) = c**2 - 13*c + 54. Calculate the smallest common multiple of p(-17) and 12.
564
Find the common denominator of 4/(-14) - (0 + 93/(-21)) and 0/2 - 41/3.
21
Let n(u) = u**2 + 12*u - 37. What is the least common multiple of n(-19) and 108?
864
Let l(r) = -r**3 + 15*r**2 - 12*r - 29. Let j be l(14). Find the common denominator of 11*(j - 1 - (-57)/30) and 21/22.
110
Let j(w) be the second derivative of -7*w**3/6 - 2*w. Let x be j(-4). Let h = x - 10. Calculate the lowest common multiple of h and 4.
36
Let o(i) = -3*i**2 - 54*i + 16. Let w be o(-18). Suppose -g + 7 = 3*f, -9*g - w = f - 5*g. Calculate the smallest common multiple of f and 12.
12
Let a(k) = -k + 10. Let f be a(3). Let t = f + -5. Suppose 6 = 4*w - 2. Calculate the lowest common multiple of t and w.
2
Suppose 3*p = -x + 19, -p = 3*x + 2*x - 25. Suppose 5*q - 95 = -x*i, 2*i = -5*q + 51 + 34. What is the least common multiple of q and 9?
45
Let u(o) = o**3 + 5*o**2 - 7*o - 2. Let j be u(-6). Suppose -3*q - 45 = j*l, 3*l + 25 + 0 = -4*q. What is the common denominator of -101/16 and (-1)/l*363/22?
80
Let u(k) = k + 9. Suppose 4*n = -3*n + 98. Calculate the smallest common multiple of n and u(-7).
14
Let b(l) = -l**3 - 2*l**2 + 3*l + 2. Let a be b(-2). Let o be a/(-10) + 227/(-5). Find the common denominator of -21 and o/((-20)/(-8) - 1).
1
Calculate the common denominator of 89/90 and (-27 - (-10 - -4)) + (-2)/3.
90
Let z = -4222/927 + -1/927. Calculate the common denominator of z and 3135/126 - 4/(-14).
18
Let z = -2794/2345 - -1/1005. What is the common denominator of z and -149/108?
756
Let a = 3/11003 + -25427945/44012. Let z = -574 - a. What is the common denominator of z and 101/10?
20
Suppose -2*c + k = -34 - 60, -4 = -k. Calculate the least common multiple of c and 77.
539
Suppose 2*r + 10 = 4*c, 5*c = -0*r - 2*r + 17. What is the common denominator of -15/8 and c - (-1 + 164/44)?
88
Let v be (-2)/(-4) + 45/(-18). What is the common denominator of (-9)/v*(-152)/(-209) and 67/6?
66
Let a = -997/4410 - -4/49. Find the common denominator of -19/170 and a.
1530
Find the common denominator of 336/88*(-3)/12 and 19/12.
132
Let t(h) = -6*h + 416. What is the smallest common multiple of t(40) and 8?
176
Let f be ((-8)/1298)/((-2)/(-13)). Let j = 2/6717082627 + 216404250973291/69750185998768. Let t = j + f. Find the common denominator of t and -23/18.
144
Let s be ((-1690152)/(-10))/((-28)/(-40)). Let q = s - 1994399457/8260. Let r = 58/59 + q. Calculate the common denominator of 61/10 and r.
20
Let s(r) = -149*r + 2. Let u be s(-2). What is the common denominator of 8*5/u*9 and -119/6?
30
Let t(b) = b**2 + 9*b + 18. Let z be t(-4). What is the least common multiple of (6 - 52/8)*44/z and 9?
99
Suppose 3 = -5*x - 2*f, 0*x = -5*x + 4*f + 21. What is the common denominator of 3/((-60)/176*x) and -17?
5
Let r be 3/3399*2203 + 0. Let i = r - 13/103. Let o = 783/22 + -276/11. Calculate the common denominator of o and i.
22
Let p(f) = 3*f. Let y(l) = 4*l + 1. Let i(n) = 3*p(n) - 2*y(n). Suppose -7 = -4*d + 29. Calculate the least common multiple of d and i(4).
18
What is the lowest common multiple of (20 - -6) + (-12)/6 and 18?
72
What is the least common multiple of 120 and (-4)/(-14) + 4 + (-477)/(-21)?
1080
Suppose -2*h - 17 = 3*j + 3*h, 0 = -h - 1. Calculate the smallest common multiple of 2 + j + (-16)/(-4) and 9.
18
Let z = 19643/18 + -1091. Calculate the common denominator of z and 6/20*-22 + 2.
90
Let l = 293677/820044 - 1/10124. What is the common denominator of l and 67/9?
81
Let t = -1021796 - -188011735/184. Let q = -18/23 + t. Calculate the common denominator of q and 3906/196*((-26)/(-12) - 1).
8
Let j = -772 + 773. Let n = -1 + -4. Let o = -3 - n. What is the lowest common multiple of j and o?
2
Let p = -6 + 9. Suppose 3*m = 4*l - 2, p*m = -l - 0*m + 8. Calculate the common denominator of l - 21/24*10 and -89/6.
12
Let c = -39/874 + 29825/12236. What is the common denominator of c and -59/56?
56
Let g = -4/225 + 11933/450. Calculate the common denominator of -37/46 and g.
46
Let j(f) = 45*f**2 - 46*f**2 + 5*f + 13 + 5*f. Let z be j