s. Calculate the least common multiple of s and 4.
196
Suppose -5*i + 1 = -9. What is the common denominator of ((-22)/40)/((-2)/(-8)) and i/4 - 158/4?
5
Let q = 5542 + -1185985/214. Let r = 4454/963 - q. Find the common denominator of r and (-2)/(-12)*(-534)/(-14).
126
Calculate the common denominator of -2 + (-93)/2 + 1 and (-1)/(-2)*(-214)/(-22).
22
Let u be (-807)/(-184)*82/21. Let w = u + 20/161. What is the common denominator of w and 59/2?
4
Let o(s) = 218*s - 9. Let z be o(-7). Let l = z - -16844/11. What is the common denominator of l and 32/3?
33
Let i = -165411 + 14556345/88. Let x = i - -63/22. What is the common denominator of 47/18 and x?
72
What is the common denominator of -23/3 and (-1)/(-6) - 6023/(-1482)?
39
Let u be -2*(0 - -6) + 0. Calculate the common denominator of (-834)/(-8)*(-4)/(-18) and 416/u*3/(-14).
42
Let g = 7479 - 104603/14. Find the common denominator of (-75)/36 + 5 + 0 and g.
84
What is the common denominator of (-614)/(-560) + -3 - 12/(-28) and -53/25?
200
Calculate the common denominator of 1480/(-550) + 4/(-10) and -46/67.
737
Suppose 5*z = -k + 111, z - 581 = -5*k + 2*z. Calculate the smallest common multiple of 4/(-14) + k/14 and 4.
8
Suppose -95 = 4*t + t. Let p = t + 27. Calculate the least common multiple of 14 and p.
56
Suppose -3*z - 8 - 13 = -4*u, -5*u = 3*z - 6. Calculate the common denominator of -31/4 and z/1*(-979)/(-66).
4
Let s = -2 - -6. Suppose 0 = -8*t + 11*t - 51. Suppose -4*o + t = 3*p, -29 = -s*o + o + p. Calculate the least common multiple of 4 and o.
8
Let j = 29 - 19. What is the least common multiple of 14 and j?
70
Let x = -1397321/487938 + 2/22179. Find the common denominator of -23/18 and x.
198
Let i = 164/47 - 5817/1034. Let r = -153283/14 + 10955. Find the common denominator of i and r.
154
Let g be -1*(-26)/(-2)*-1. Suppose 5*o + 4*s = 22, -2*o - s + g = 2*s. Calculate the common denominator of (1 + o)/(7/6) and -44.
7
Suppose 0 = -3*j + 5*j - 24. Suppose 3*q - j = -q. Suppose -c - c = -2. Calculate the least common multiple of c and q.
3
Let k = -2024 + 12097/6. Find the common denominator of (230/25 - -4) + -3 and k.
30
Suppose -2*o = -k - 5*o + 8, -2*k = 4*o - 16. What is the least common multiple of 2 and k?
8
Let x(g) = -g**2 - 2*g**2 - 2*g**3 - 1 + 2*g + 0*g. Let c = -3 + 17. What is the lowest common multiple of x(-3) and c?
140
Let a = 3128 + -243977/78. Let n = -1721/234 - a. What is the common denominator of n and 58/5?
45
Suppose -2*z - z + 21 = 0. Suppose 3*q - z = 4*q. Find the common denominator of 89/10 and q.
10
Let c(m) = 2*m**3 + 2*m + 3*m**2 + 2*m**3 + 1 - 3*m**3. Let y be c(-2). What is the smallest common multiple of 2 and (1 + (y - 11))/(-1)?
18
Let g(n) = -78*n**2 - 2*n + 10. Let i be g(9). Let a be i/(-27)*(-3)/1. Let b = -709 - a. Find the common denominator of b and 22/5.
45
Suppose -2*n + 3 - 1 = k, -2*k + n - 6 = 0. Let j = -8 - k. Calculate the least common multiple of 11 and (-33)/j + (-12)/8.
44
Let t be (-1 - 42946/(-28)) + 2. Let n = 1534 - t. Calculate the common denominator of -89/22 and n.
154
What is the common denominator of (-110)/456 + 30 + -30 and -5/22?
2508
Let z(i) = 2*i + 5*i**2 + 3*i**2 + 0*i**2 + 4*i**2 + 1. Calculate the lowest common multiple of 2 and z(-1).
22
Suppose 4*g - 6 = 2. Suppose 32 = g*n + 8. Suppose k + 4*m + 14 = 4*k, k - 5*m = n. Calculate the lowest common multiple of 6 and k.
6
Calculate the least common multiple of 10 and (-240)/(-36)*(-3)/(-2).
10
Let t(k) = -k**3 - 1 - 5 + 1 - 5*k**2 - 7*k. Let d be t(-5). Suppose -4*m - m = -d. Calculate the smallest common multiple of 8 and m.
24
Find the common denominator of 93/4 and (-2)/(-12)*-959*28/(-196).
12
Let j(o) = -221*o + 1. Suppose l - 6 + 0 = 0. Let d be j(l). Let p = -13217/10 - d. Calculate the common denominator of p and 19/3.
30
Let l(o) = o**3 - 2*o**2 - o + 18. What is the lowest common multiple of 20 and l(0)?
180
Let c = -15 - -27. Suppose -3*w + 3*p + 8 = -w, -w + 5*p = -4. Calculate the smallest common multiple of c and w.
12
Let l(f) = -f**3 - 9*f**2 + 9*f - 5. Let g be l(-10). Suppose -1 = i, 4*w - i + g*i - 76 = 0. Calculate the least common multiple of w and 16.
80
Let n = 5387 + -32393/6. Calculate the common denominator of 2/6 + 106/60 and n.
30
Let s be 2/((-8)/12) + 51. Suppose -f = 2*f - s. What is the smallest common multiple of 4 and f?
16
Let p = -185762/27 - -6881. Calculate the common denominator of 145/12 and p.
108
Find the common denominator of (-1 - 454/(-24)) + 1/4 and -28/33.
66
What is the smallest common multiple of -3 + 6/(-9)*-21 and 6/14 + 134/14?
110
Let h(p) = p**2 + 8*p - 19. What is the smallest common multiple of h(-13) and 6?
138
Suppose 0*n = -n + 28. What is the common denominator of 2/(-2 + 146/83) and (-11)/((n/6)/(-2))?
70
Let h(t) = 3*t + 5*t + 7 - 4*t - t. What is the least common multiple of 18 and h(3)?
144
Suppose 6*q + 6853 + 1757 = 0. Let w = q - -31563/22. What is the common denominator of w and 145/42?
462
Let d(w) = -w**3 - 4*w**2 - 2*w - 2. Let k be d(-4). Calculate the lowest common multiple of 23/k - (-2)/12 and 16.
16
Suppose -5*o + 2 = -4*o. Let g = o - 0. What is the smallest common multiple of g + (0 - (3 + -3)) and 16?
16
Let l(d) = d + 1. Let g(f) = -f**2 - f + 3. Let p be g(0). Suppose -r = -p - 3. Calculate the smallest common multiple of l(5) and r.
6
Let a = -473/427 + -13/122. What is the common denominator of 21/22 and a?
154
Let n be 126/(-10) - 6/15. Let y = -7 - n. Let d(r) = -r**3 - 7*r**2 - 6*r + 8. Calculate the least common multiple of d(-6) and y.
24
Let w(m) = -m**3 + 2*m**2 - m - 2. Let y be w(2). What is the common denominator of (-14)/y*93/7 and (-5)/(-3)*10/(-4)?
6
Let t be 6/(-1)*2186/272. Let r = 654/17 + t. Calculate the common denominator of r and 95/2.
4
Suppose -4*s = s. Calculate the common denominator of -97/4 and (s - -1) + (-94)/(-4).
4
Suppose 4*a + 3*x - 107 = 4*x, -5*a + 5*x = -130. What is the least common multiple of a and 24?
216
Let h = -6 - -16. What is the smallest common multiple of 46 and h?
230
Suppose 2*k - 77 = -2*i + 3*k, -3*i + 4*k = -108. What is the lowest common multiple of 22 and i?
440
Let j be (-6)/36 + 43/6. Suppose -3*x - 64 = -j*x. Calculate the least common multiple of x and 20.
80
Find the common denominator of (4/(-14))/((-1432)/(-343) - 4) and -47/6.
30
Suppose 3*g + 2*g = 75. Calculate the common denominator of ((-3)/(-2))/(g/445) and 55/8.
8
Suppose -4*k = 0, 0*x + 5*x = 3*k + 35. Calculate the smallest common multiple of x and 4.
28
Suppose -4*x = 4*f - 0*x - 24, 5*x - 6 = 3*f. What is the least common multiple of f and 13?
39
Let d = -7068 + 12330. Let p = d - 63107/12. Calculate the common denominator of -71/12 and p.
12
Calculate the least common multiple of 10 and ((-112)/35)/((-5)/25).
80
Find the common denominator of 5 - (0 + 3) - (-41)/(-14) and -115/14.
14
Suppose 8*p - 15 = 5*p. Suppose -4*b = 0, -2*h + b + 0 = -4. Calculate the lowest common multiple of (-16)/20*h*-5 and p.
40
Let z = -4743809/88 - -53908. Find the common denominator of 1/4 and z.
88
Let s = -44/31 + 129554/91233. Let d = 220733/11772 - s. Calculate the common denominator of 31/14 and d.
28
Let b = -9 + 13. Let v = 5 - 1. Suppose -24 = v*o - b. What is the common denominator of 14 and o?
1
Suppose 0 = -4*u - u - 4*m + 44, 3*u - 3*m - 48 = 0. What is the lowest common multiple of 22 and u?
132
Let v = 12 - 0. Calculate the lowest common multiple of (-2 - (-16)/10)*-20 and v.
24
Let r be 100/7 - (-6)/(-21). Let w = r + -4. Suppose 0 = -4*z + y + 75, 5*z - 3*y = y + 102. What is the least common multiple of w and z?
90
Suppose -4*y + 0*y - 4 = 0, 2*d + y - 11 = 0. Suppose d = 6*o - 3*o. Find the common denominator of (-2)/(-100)*(-5)/o and 75/14.
140
Let k(i) = i**3 + 4*i**2 - 4*i - 1. Let m be 15/(-10)*(2 - 0). What is the smallest common multiple of 16/6*3/2 and k(m)?
20
Let s = 10/249 - 9781/1743. Calculate the common denominator of 23/6 and s.
42
Let x(h) = -h**2 + 8*h + 3. Let j be x(6). Find the common denominator of ((-6)/j)/(24/(-1455)) and -52/7.
28
Let p be (-13 - -8) + (-1 - -4). What is the common denominator of -1 + 0 - 144/(-15) and p/(-4)*(-870)/(-165)?
55
Let o(n) = n**2 - 9*n - 13. Let x be o(12). Suppose -3*h + 43 = -x. Let w(v) = -v**3 