1) and 40?
40
What is the common denominator of 3 + ((-27)/(-45))/((-22)/255) and 29/576?
6336
Suppose 3*r - 32 = -r. Suppose d + 90 = 6*d. Suppose -7*n = -3 - d. What is the smallest common multiple of n and r?
24
Let i = 415/46 + -4869/736. Calculate the common denominator of i and 97/24.
96
Let a(o) = 8*o + 58. Let q be a(-7). Suppose -q*l + 7*l - 1 = -z, -4*z + l + 25 = 0. What is the smallest common multiple of 10 and z?
30
Suppose 0 = 4*b + 12, -4*q - b - 28 - 31 = 0. Let r be q/(-49) + 96/7. What is the smallest common multiple of 10 and 144/r + 6/(-21)?
10
Let p = -4493/1353 + -50/123. Let z = 84 + -417/5. Let g = z - 7/10. Find the common denominator of p and g.
110
Let z = -3178/11 - -284. What is the common denominator of -19/225 and z?
2475
Let q be (-5)/((-5)/3) + -3. Suppose 0 = -2*j + 11 + 7. Suppose -2*v + 2 = q, 0*v - 5*v = -a + j. Calculate the least common multiple of a and 10.
70
Suppose -80 = 429*p - 439*p. Calculate the smallest common multiple of p and 1222.
4888
Suppose 19*a + 252 = 39848. What is the lowest common multiple of a and 12?
6252
Let u = 267 + -121. Suppose 0 = 3*a + 20 - u. What is the lowest common multiple of 18 and ((-36)/a)/(2/(-28))?
36
Calculate the common denominator of -1/140 and (-6)/8*((-106)/(-21))/(-1).
140
Suppose 5*w = -2*a - 5, -4*w + a - 3*a - 2 = 0. What is the common denominator of (w/(-14))/(-3)*-24 and (-3)/12*((-87)/(-33) + 3)?
154
Calculate the least common multiple of 105 and (-48)/(-22) + -2 - 583/(-121).
105
Let j(i) = -i**2 + 16*i - 20. Suppose 0 = -5*x + y + 70, 4*x - 56 = 2*y - 6*y. Calculate the smallest common multiple of j(x) and 3.
24
Suppose 2*w + 5*o - 575 = 7*w, 0 = w + 5*o + 97. Calculate the common denominator of (1/((-4)/18))/(w/(-48)) and 63/20.
140
Let o(x) = x**3 - 4*x**2 + 3*x - 4. Let n be (-7)/(-2) + 3/6. Suppose -n*g + 4*c - 1 = 3, 0 = 2*g - c - 1. Calculate the smallest common multiple of g and o(4).
8
Let u(j) = j**3 + 2*j**2 + j + 34. Let v be u(0). Suppose -v = -w - 20. What is the smallest common multiple of w and 22?
154
Let d = 6 + -43. Let t = -29 - d. What is the smallest common multiple of t and 10?
40
Find the common denominator of (1 - (-3 + 1385/175))/2 and 40/21.
210
Let t(y) = -y**2 + 3*y - 2. Let v be t(3). Let z be 3 + v*2/(-4). Find the common denominator of 2 + 1 - (-37)/z and -41/7.
28
Let k(y) = -y**2 - 13*y - 11. Let p(t) = -4 + 2 + 0*t + 14*t - 5*t. Let n be p(-1). Calculate the smallest common multiple of k(n) and 11.
11
Let j = 1054 + -1046. What is the least common multiple of 56 and j?
56
Let z be (-6)/21 + 4753564/(-71771). Let y = z - -12622170959/185312722. Let v = y + 2/3873. Calculate the common denominator of 11/20 and v.
420
Suppose 42*t - 40*t + 2*c = 86, -154 = -4*t + 2*c. What is the lowest common multiple of t and 48?
240
Let f = 141847/432 - 986/3. What is the common denominator of 47/4 and f?
432
Let d = -14 - -19. Let u be d - 1 - (-2466 - 1). Let y = u - 9933/4. What is the common denominator of y and -33/10?
20
Suppose -2*z + 3 = m - 2, m + 4*z - 7 = 0. Calculate the least common multiple of ((-56)/(-12) + -3)*18 and m.
30
Let h = -1383/2 - -696. Calculate the common denominator of h and -62/2905.
5810
Suppose -5 - 19 = -4*f + 3*g, 0 = f - 3*g - 15. Suppose 0*s = -3*s. Suppose 4*h = -l - 15, -5*l + 1 + s = h. Calculate the lowest common multiple of l and f.
3
Let n = 108979/90 + -1211. Find the common denominator of n and -93/250.
2250
Suppose 0*c + 11*c = -154. What is the smallest common multiple of 48/c*(0 + -1 - 13) and 44?
528
Suppose -3*w - 3*g = -18, -6*g = -w - 4*g. Calculate the lowest common multiple of 6/(-5)*(-144 + 14) and w.
156
Let t = -30/181 - -3739/1810. Find the common denominator of t and -1/9.
90
Suppose -3*p + 37 = 5*q, q - 25*p + 30*p = 3. Calculate the lowest common multiple of 86 and q.
344
Let z(t) = -6*t - 5. Let s(x) = 3*x + 3. Let w(i) = 11*s(i) + 6*z(i). What is the smallest common multiple of 21 and w(-4)?
105
Suppose 0 = l + 4 - 1. Let w be ((-70)/(-42))/((-1)/l). Suppose -w*z = -11*z + 36. What is the lowest common multiple of z and 11?
66
Let f(k) = k**3 + k**2 - 2*k + 3. Let x be f(0). Suppose n + 2*a = x, 3*n - 29 = a - 2*a. What is the smallest common multiple of n and 6?
66
Let j be (1/39)/((-1475)/900). Let c be (-3)/(-15) + (-1231677)/253110. Let x = j + c. Find the common denominator of -49/22 and x.
22
Let c be (2 - -1)*(9 + -8). Suppose c*l + 3068 + 2900 = -k, 5*k - 5998 = 3*l. Let f = l - -10001/5. Calculate the common denominator of 53/7 and f.
35
Let o = 724/63 - 46087/3654. Let h = -4153/342 + 312/19. What is the common denominator of h and o?
522
Let r = -4341/4 + 1077. Find the common denominator of r and -2 + -1 + 25/(-8).
8
Let n be (-61553)/(-671)*39436/(-416). Let o = -153/69784 + n. Let b = 8699 + o. What is the common denominator of b and -17/14?
154
Suppose 2*g - 7 = 11. Suppose 7*l - 3*l = -w + 61, w = l - g. Calculate the least common multiple of l and -2 + (-95)/(-10) + (-1)/(-2).
56
Let p = 22 - 44. Calculate the common denominator of ((-1)/(-4))/(11/120) and (-10)/(-15)*p - 2.
33
Suppose -q + 82 = -0*q. Let y(x) = -4*x**2 - 98*x - 28. What is the least common multiple of y(-24) and q?
820
Suppose -4*x - 2*g = -x - 9, -16 = -2*x + 2*g. Calculate the common denominator of -9 + x + 190/66 and 28.
33
Let f = 1683/70 - 183/7. What is the common denominator of 1/(-3) - (-5425)/630 and f?
90
Let l be 968/(-24)*(-4334256)/(-113). Let f = 154186318969/99666 + l. Let s = f + 6/5537. Find the common denominator of -77/6 and s.
18
Find the common denominator of 56/112*(-11)/32 and 71/128.
128
Suppose 2*w - 26 = 2*n, 0*w + 4*w + 4*n - 28 = 0. Suppose -16 - 96 = -7*l. What is the least common multiple of w and l?
80
Let p = -163652 - -30439399/186. Find the common denominator of -18/341 and p.
2046
Let z = -3303133/5148 - -8342/13. Calculate the common denominator of z and 35/22.
396
Suppose 6*k = 12*k - 540. What is the least common multiple of k and 12?
180
Let t = -323 - -441. Calculate the smallest common multiple of 16 and t.
944
Let x(r) = -4*r - 89. Let p be x(-20). Find the common denominator of -3/5 and p/(-12) - (5 + (-207)/28).
35
Suppose 5*w - 40 = -5*q, 2*w = 5*q + 22 + 22. What is the least common multiple of w and 12?
12
Let b = -5364 + 112681/21. Calculate the common denominator of b and 41/3.
21
Suppose 5*o + 86 = 221. Suppose 6 = -2*q + 6*x, -9*q + 6*q + 9 = -3*x. Calculate the lowest common multiple of q and o.
54
Let j = -116 - -1625/14. Suppose 0 = -3*l - 15, -6*s = -4*s - 4*l - 24. What is the common denominator of s/((-8)/(-166)) - (-3)/1 and j?
14
Let p = -203131/44 + 4617. What is the common denominator of -77/236 and p?
2596
Suppose 63 = 5*a + 3*g, -3*g = 4*a - 7*g - 44. What is the least common multiple of a and 148?
444
Let g = 81407/22722 + -19/541. Calculate the common denominator of g and 73/8.
168
Suppose -5 = -3*l + 2*s, -3*l + 7 = -3*s + 1. Calculate the lowest common multiple of (1/3)/((-3)/(-261)) and l.
29
Suppose 3*u + 3*u = 0. Suppose -2*m - 2*m + 72 = u. Let d(f) = -f**2 - 5*f + 12. Calculate the smallest common multiple of m and d(-4).
144
Let r be 2/(-8) - 3/(-12)*2281. Calculate the common denominator of 71/8 and (r/(-20))/(6/(-10)).
8
Let o(l) = 10*l - 194. What is the smallest common multiple of 20 and o(25)?
280
Let d = -8 + 6. Let x be d*((2 - 4) + 4). What is the lowest common multiple of (12/6)/((-2)/x) and 8?
8
Let f be 57/38*(2 - 56/(-6)). Suppose 2*n = f*n - 120. What is the smallest common multiple of 18 and n?
72
Suppose -2*y + 18 + 46 = 0. Let h = 266 - y. Calculate the smallest common multiple of 16 and h.
1872
Calculate the common denominator of 120/195*3*15/108 and -137/18.
234
Let u be (-2)/(-4) - ((-55)/10 + 4). Calculate the smallest common multiple of (6 + 1)*(-1 + u) and 8.
56
Let o(d) = d**2 + 10*d + 3. Let h be o(-10). Suppose g = -4*n + 14 + h, 2*n = 3*g - 65. What is the least common multiple of 2 and g?
42
Let y = 43967/37305 + -2/2487. Calculate the common denominator of 113/126 and y.
630
Let b(h) = 77*h + 270. What is the smallest common multiple of b(7) and 1?
809
Suppose 2*s = k - 55, 0*k - 5*s - 110 = -2*k. Suppose -k + 15 = -2*n. Let p = 44 + -26. What is the least common multiple of p and n?
180