-160)*(-46)/(-18). Let o = f - -3/160. What is the common denominator of o and -23/8?
24
Suppose -5*n = u - 97, -n + 26 - 9 = u. What is the common denominator of (2 - n)/(165/44) and 12/5?
5
Let q = 106 + -73. What is the least common multiple of (q/2)/(30/40) and 16?
176
What is the least common multiple of 64 and -4 + 7 - (-11 + 0)?
448
Let l be (-57)/(-9) + 4/6. Let t(f) = -2*f + 2*f + 3*f - 9. Calculate the least common multiple of 14 and t(l).
84
Let t = -466255 - -3713065/8. Let y = -2118 - t. Find the common denominator of (-6)/27 + 1546/72 and y.
8
Let y(c) = c**2 + 7*c + 7. Let k be y(-7). What is the common denominator of ((-2)/(4/(-29)))/k and -101/16?
112
Let b = -24210083/155 - -156202. Let t = b + -78/31. Calculate the common denominator of t and -31/5.
5
Let r be -4*(-1)/(-4)*-13. Let o = r - 8. Suppose 0*t + 13 = -2*j - o*t, -j = -t - 11. Calculate the least common multiple of j and 10.
30
Suppose -2*o - 5*z = 18 + 7, -3*o - 20 = 4*z. Suppose -4*k + 6*k - 2 = o. What is the lowest common multiple of k and 7?
7
Let s = -7 + 11. Suppose 0 = 3*v - 5*f - 1213, 8 = -2*f + s*f. Find the common denominator of v/(-108)*(2 - 0) and 11/2.
18
Let m = 10327 - 124067/12. Calculate the common denominator of m and -91/20.
60
Suppose -a = -2*z + a + 8, -2*z = 4*a + 16. Suppose 4*j = -4*t + 24, -3*j + z*j = -2*t + 2. Calculate the lowest common multiple of 2 and j.
2
Let c = -2068609/86 + 24053. What is the common denominator of c and -3 - (2 + (-1 - 865/90))?
774
Let m = -4835 + 53148/11. Let j = -7583/4 - -1907. Calculate the common denominator of j and m.
44
Let f = 14 - 11. Calculate the least common multiple of f and 7.
21
What is the common denominator of 11/(-33) + 78/4 and 37/4?
12
Suppose 5*p - 12 - 68 = 0. What is the lowest common multiple of 24 and p?
48
Suppose 0 = -f + 6*f - 4*b - 39, 0 = 4*f - 3*b - 31. Let z(i) = -i**2 + 6*i + 10. What is the smallest common multiple of (20/6)/((-6)/(-9)) and z(f)?
15
Suppose 4*f + 9 = 1. Let g be (1 - (-3)/f)*2. Find the common denominator of -151/18 and g*3/(-6)*-47.
18
Suppose -5*o + 0*a + 35 = -2*a, 0 = o - 3*a - 20. Suppose o*r + 32 = 92. Let t = r + 2. Calculate the smallest common multiple of 14 and t.
14
Let w = -12 - 12. Let a = 35 + w. Let r = 20 - a. Calculate the smallest common multiple of 3 and r.
9
Suppose 2*x - 6*x + 4 = 0. Suppose -4*t = -3*s + s + 34, -3*s + 27 = 2*t. Calculate the least common multiple of (0 + -2)/x + 5 and s.
33
Let k be 38/14 + (-10)/(-35). Suppose 4*j = -2*h + 14, 2*j + k*h - 1 = 16. What is the common denominator of j/(-40)*(-1155)/(-14) and 79/16?
16
Suppose 2*g + 2*b - 6 = 0, -25 = -4*g + 5*b + 23. Calculate the lowest common multiple of 6 and 82/g - 18/(-63).
12
Suppose 5*m - 24 = m. Calculate the smallest common multiple of 2 and m.
6
Let z = 4091/4 + -16293/16. Let n be 0 + 0 + (3 - 1). Find the common denominator of z and n/12*(-70)/4.
48
Let r be (-4)/3*(0 - 18). What is the smallest common multiple of 4 and ((-12)/(-10))/(r/160)?
8
Let r(g) = g**2 + g. Let b be r(0). Suppose b*f + 8 = 2*f. Suppose -v = f*v - 30. Calculate the lowest common multiple of v and 3.
6
Let z = -2 - -11. Suppose 0 = -5*y + 4*y + 9. Calculate the lowest common multiple of y and z.
9
Let b(j) = -j**3 + 5*j**2 + 2*j - 4. Suppose -4*g = a - 27, 0*g + 3*g + a = 21. Calculate the smallest common multiple of 19/3 + (-2)/g and b(3).
60
Suppose 8 + 27 = 5*i. What is the lowest common multiple of 7 and i?
7
Let l = -8 - -12. Calculate the least common multiple of 3 and l.
12
Calculate the common denominator of 142/(-42)*(-6)/4 and (-146)/20*(-10)/(-20).
140
Let y = -2457/10 + 246. Let j = 14045/988 + 7/76. Let z = 2953/260 - j. Calculate the common denominator of z and y.
20
What is the common denominator of 41/9 and 15/(-9)*18/(-16)?
72
Let d = 11 + -5. Suppose j = -d + 18. Suppose -5*k - j + 32 = 0. Calculate the smallest common multiple of 4 and k.
4
Let q = 6427/200 - 781/24. Calculate the common denominator of 37/8 and q.
600
Let j = -133949/45486 + 1/2527. Let y be (-9210)/(-6028) - (-4)/(-6). Let x = -1/411 - y. Find the common denominator of x and j.
198
Let g = -21 + 32. Calculate the lowest common multiple of g/22 - (-14)/4 and 16.
16
Calculate the common denominator of 6/(-3) - (-5)/21 and -19/42.
42
Let l = -11 - -6. Let x = 5193 - 41609/8. Calculate the common denominator of ((-670)/(-4))/l - 2 and x.
8
Let t(j) = j**3 + j**2 + 11. What is the lowest common multiple of 5 and t(0)?
55
Let n = -11 - -17. Let h(m) = m**2 + m - 10. Calculate the least common multiple of n and h(-5).
30
Let i = 256159/71484 - 2/17871. Find the common denominator of 1/4 and i.
12
Let g be 8673/36 + (-4 - -2). Let t = 343/6 - g. Let y = 175 + t. Find the common denominator of 3/20 and y.
20
Let g be 0 - -2 - (0 + -2). What is the common denominator of g/(-12) - 172/(-8) and 33/16?
48
Suppose -3*d + 20 + 7 = 0. Let i(b) = b - 5. Calculate the smallest common multiple of i(d) and 14.
28
Suppose 3*m + 24 = -3*j + 9, 0 = -4*j + m. Find the common denominator of -24/11 and (j/3)/(20/1185).
44
Let u be 2945036/8*(-3)/36. Let w = 30672 + u. Calculate the common denominator of -51/16 and w.
48
Let f(x) = 2*x + 1. Let r(q) = q + 4. Let y(b) = -3*f(b) + r(b). Let z be (2 - 4)*2/4. What is the lowest common multiple of 4 and y(z)?
12
Suppose 5*d = 3*b - 2*b + 5, -3*b + 17 = d. Suppose d*t - 34 = -2*f, 4*f - t = t + 98. Calculate the lowest common multiple of 14 and f.
154
Let a(r) = -r**3 + 10*r**2 - r + 32. What is the smallest common multiple of a(10) and 18?
198
What is the common denominator of -21/10 and (-10 - (-264)/30)/((-88)/(-250))?
110
Suppose d = 4*x + 759, -2*d - 3*x + 5*x = -1488. Let r = 5903/8 - d. Let v = 1842 - 7283/4. Find the common denominator of v and r.
8
Suppose 0 = -4*h - 2*h + 42. Calculate the lowest common multiple of 3 and h.
21
Suppose -5*k + 40 = -k. Let f(l) = l**2 - 2. Suppose 3*w - 12 = 7*w. What is the lowest common multiple of k and f(w)?
70
Let b = -1329 + 384082/289. Let d be (-47699)/(-4046) + (-4)/14. Let s = b - d. Find the common denominator of s and 45.
2
Let l(z) = -4*z - 4 - 7 + 7. Calculate the lowest common multiple of 10 and l(-2).
20
Suppose 54*w = 49*w + 90. Calculate the least common multiple of 16 and w.
144
Suppose 2*s + 1 - 13 = 0. Suppose -3*k + 0 - s = 0. Let l = 6 + k. Calculate the least common multiple of 9 and l.
36
Let k = -2598 + 4559. Let f = -3837/2 + k. Calculate the common denominator of f and -15/14.
14
Calculate the common denominator of 318/(-40) - (-1)/5 and 10/9.
36
Let c(j) = j**3 + 3*j**2 + 2. Calculate the lowest common multiple of c(-3) and 6.
6
Suppose -s = -2*p + 5*p - 17, 5*s - 29 = -p. Suppose 9*l + 5 = p*l. Calculate the lowest common multiple of l*7*(-4 + 3) and 6.
42
Let d(a) = -a**2 + 5*a + 1. Let s be d(4). Suppose r = s*r. Calculate the least common multiple of r + -1 + -2 - -10 and 9.
63
Let w = 68 - 60. Calculate the smallest common multiple of 10 and w.
40
Let t(d) = 1. Let h(w) = w + 7. Let g be ((-8)/(-2))/(3/(-3)). Let v(b) = g*t(b) + h(b). What is the least common multiple of v(5) and 20?
40
Let h(v) = -3*v**3 + v + 2. Let q be h(-2). Calculate the lowest common multiple of -12*(q/(-9))/4 and 6.
24
Suppose -3*q = -2*q. Suppose m = 5*u - q*u - 1, -2*u = -2*m + 22. Calculate the least common multiple of m and 16.
112
Let a = 60 + -32. Find the common denominator of (-7 + a)/((-22)/(-3)) and 69/14.
154
Find the common denominator of (-3)/4 - (-95)/(-152) and 57/7.
56
Calculate the lowest common multiple of 46 and (-9)/(2/10 - (-170)/(-100)).
138
Suppose 0 = -q - 2*q + 21993. Let u = -66046/9 + q. Find the common denominator of 33/8 and u.
72
What is the smallest common multiple of 3 and 3 - (8/(-4) - -2)?
3
Let y(m) = m**3 - 16*m**2 + 30*m - 8. Calculate the lowest common multiple of 66 and y(14).
660
Let s be (-2)/4*1227*-30. Suppose 2*a + 24983 = -z, -a - 5*z - s = -5909. Let f = -125019/10 - a. Calculate the common denominator of f and -113/20.
20
Suppose -y + 3*y = 12. Suppose 0 = -v - y + 8. Let x(u) = -u**3 - 2*u**2 + 5*u - 3. Calculate the least common multiple of x(-4) and v.
18
Suppose -3 = 2*n + n, -2*l - n - 1 = 0. What is the smallest common multiple of 20 and 2 + -4 - (-6 - l)?
20
Suppose 48 = 5*w 