42
Suppose 0 = 5*l + n - 90, -5 = 5*l + 2*n - 95. Find the common denominator of 67/l + (-14)/(-28) and -70/9.
9
Suppose 0 = 2*r + m - 2, 0 = -r + 3*m - 10 - 3. Let c be r/(-1) - 30231/30237. Let j = c - 917201/60474. What is the common denominator of j and 73/6?
6
Let n = 77 + -62. Calculate the lowest common multiple of 63 and n.
315
Calculate the lowest common multiple of (0 + 3)*(-1)/((-2)/20) and 18.
90
Let j = 44 - 29. Calculate the smallest common multiple of 24 and j.
120
Let t be 5/2*(-24)/2290. Let l = t - -19935/458. Let f = 4/375 + -7891/1500. Find the common denominator of l and f.
4
Let i be -3 - (0 - 48)/4. Suppose 0 = -5*r - 3*t + 120, -5*r = -5*t - 69 - 51. What is the common denominator of 37/4 and 3/i - 518/r?
4
Suppose -q + 4*j = 3*j - 31, q = 2*j + 26. Calculate the least common multiple of 8 and q.
72
Let a(n) = n - 3. Let c be a(5). Suppose 0 = -c*k - 0*j - 3*j - 13, 16 = -2*k - 4*j. What is the smallest common multiple of 108/10 + k/(-10) and 6?
66
Let l(i) = i + 2. Let a be l(4). Calculate the least common multiple of 3 and (-4)/(-6) + 26/a.
15
Let h = 62 - 38. Suppose -h = 2*j - 6*j. Calculate the smallest common multiple of j and 7.
42
Let f(b) = -76*b**2 + 7*b + 6. Let j be f(-5). Let z = 19353/10 + j. Calculate the common denominator of -87/2 and z.
10
What is the common denominator of (-36)/(-162) + 110/(-18) and -14/9?
9
Find the common denominator of -151/6 and 2/(-7)*(-518)/(-24).
6
Let w be (-2)/(((-8)/(-6))/(-2)). What is the smallest common multiple of 4 and -2 - (-17 + -6 + w)?
36
Let d = 22244/33 + -675. Find the common denominator of d and 139/24.
264
Suppose 1 = k + f, -4*k + 3*f + 16 - 5 = 0. Let q(m) = k*m - 4*m - 2*m**2 + 3*m**2 - 5. Calculate the least common multiple of q(5) and 22.
110
Let w = 7 + -5. Suppose 3*x + 2*g = w, -2*x - 4*g + 2 = -3*g. Find the common denominator of 19/18 and x/5 - (-452)/80.
180
Let m(s) = -s**2 - 10*s + 5. Suppose p + 2*p = 63. Let w = 12 - p. What is the lowest common multiple of 16 and m(w)?
112
Suppose -2*g + 4372 = -0*g. Let h = g + -13175/6. Find the common denominator of h and -139/6.
6
Let y(v) = -4*v**3 + 3*v**2 - 4. Calculate the least common multiple of y(-2) and 24.
120
Suppose -4*x = 0, 2*x - 35 = -z - 4. Let v = z + -21. Calculate the lowest common multiple of 5 and v.
10
Find the common denominator of 7/(7/2) + 177/(-48) and 37/16.
16
Let k(b) = 16*b - 1. Let l be k(1). What is the common denominator of 9/l - 1022/220 and 47/20?
220
Find the common denominator of -39/10 and (-1)/(-4*(-3)/268).
30
Let k = 2/78187 - -41908194/1485553. Let q = 605/76 - k. What is the common denominator of -71/6 and q?
12
Suppose -4*a + 49 = -31. Calculate the common denominator of 71/18 and a/(-8)*(-1)/(-6).
36
Let n = 82982283/138556 - -15/12596. Let r = n + -598. What is the common denominator of r and 55/6?
66
Suppose -z - 4*z + 30 = 0. What is the least common multiple of z and 6?
6
Let x = -287309/1555 - 11/311. Let f = x - -7187/40. Find the common denominator of f and -29/6.
24
Suppose m + 4*m = 5. Calculate the common denominator of -41/9 and m.
9
What is the common denominator of -67/18 and 33/16*56/24?
144
Let m = -27 + 31. Let x = 14 - 2. What is the smallest common multiple of x and m?
12
Suppose 4*q - 3*r = 1, -30 + 5 = -5*r. Calculate the lowest common multiple of q and 10.
20
Let o = -4 + 11. Let n = o + -2. What is the common denominator of (-2)/n - 2004/440 and -5/16?
176
Let y(o) = o - 5. Let f be y(7). Suppose f*v + 5 = 3*v. Calculate the lowest common multiple of 1 and v.
5
Suppose 5*b - 20 - 6 = r, 0 = 4*r + 5*b - 21. Let u be 3/(r*2 - -3). What is the lowest common multiple of (-5)/(u/(-2*6)) and 12?
60
Let d(w) = 6*w. What is the smallest common multiple of d(1) and 10?
30
Suppose 2*f = -f + c - 36, -f - 20 = -3*c. What is the common denominator of f/((24/(-15))/4) and 26?
2
Let k(s) = -5*s**3 - 2*s**2 - 3*s. Let p = 787179/97 - 8115. Let o = p + 2087/582. What is the common denominator of k(-2) and o?
6
Calculate the common denominator of -19 and 12/36 + 346/(-66).
11
Let w = 141/50 - -19/50. What is the common denominator of w and 65/6?
30
Suppose -z - 12 = -3*z. Suppose -o - z + 7 = 0. Suppose -4*l = -4*x - 8, -5*l + 5*x + 12 = 2*x. What is the least common multiple of o and l?
3
Suppose -f - 2*n - 10 = 3, -4 = -2*f + 2*n. What is the lowest common multiple of ((-9)/(-4))/(f/(-12)) and (-5 - -1)*21/(-12)?
63
Let n be 2 + (-7)/((-14)/(-12)). What is the common denominator of 39/4 and n/(-18) - (-293)/18?
4
Let r = 109 + -21. What is the common denominator of 99/10 and 0 - ((-156)/r + -2)?
110
Let n = 1605/13 - 125. Find the common denominator of 43 and n.
13
Suppose 0 = -3*n - 2*h - 7, 2*h = 2*n + 8 - 0. What is the lowest common multiple of 3 and -3 - (3 - (-36)/n)?
6
Let y be ((-18)/(-7))/((-2)/(-98)). Suppose -3*v + y = 3*z, 198 = -z + 6*z + v. Calculate the common denominator of 50/9 and (-3)/((-27)/6)*z.
9
Suppose -n - 175 = -4*m - 1127, -4880 = -5*n - 4*m. Let w = n + -10721/11. Let u = -24449/9070 - 4/907. Calculate the common denominator of u and w.
110
Suppose 10 = 5*f, 5*h - 2*f = f - 36. Let s be h/4*6/3. Calculate the least common multiple of 7 and 4/(-3)*s/2.
14
Suppose 4*k + j = -k - 49, -j + 32 = -4*k. Let z = k + 25. Calculate the least common multiple of 6 and z.
48
Suppose 38 = -5*z - 3*r, -2*z = -z - 4*r + 26. Let m = z - -14. Calculate the least common multiple of 20 and m.
20
Let i = 68 - 39. Suppose -2*k + i = 3*m - 7*k, 3*m + 4*k = 74. What is the smallest common multiple of m and 16?
144
Suppose -8*w - 24 = -6*w. Calculate the common denominator of ((-9)/w)/((-3)/(-50)) and 65/4.
4
Let k = 16 - 5. Calculate the least common multiple of k and 18.
198
Let q = -32 + -547. Let x = 3425/6 + q. Let n = 1276 - 22961/18. Calculate the common denominator of n and x.
18
Find the common denominator of (305/(-90))/(3/9) and -27/2.
6
Suppose 0 = 2*o - 6 - 34. Calculate the lowest common multiple of o and 16.
80
Let x = 25 + -13. Calculate the smallest common multiple of 18 and x.
36
Suppose 0 = -2*l - 0*l + 18. Suppose 4*z - 1 = a - 8, -2*z - 11 = -3*a. Suppose 2*k - 5 = -a*k. What is the smallest common multiple of k and l?
9
Let d(t) = t**3 - 4*t**2 - 9*t - 6. What is the least common multiple of 24 and d(6)?
24
Calculate the common denominator of -92/45 and (-128)/(-30) - 11/55.
45
Suppose 0 = -z + 4*v - 5, -3*v = -2*v - 3. What is the least common multiple of z and 84?
84
Calculate the smallest common multiple of -6 + (-106)/(-6) - (-4)/(-6) and 2.
22
Let g(a) = 3*a + 30. What is the lowest common multiple of 20 and g(-6)?
60
Let b be ((-2)/(-7))/((-1)/(-14)). Calculate the least common multiple of 8 and 14*(3 - 8/b).
56
Let j be (6 + 2 + -4)*3. Let n = 8 - 6. Suppose -n - j = -v. What is the least common multiple of v and 16?
112
Let o = 43055/12 - 3595. Find the common denominator of (-1286)/140 - (-46)/161 and o.
60
Suppose 3*h - 31 - 14 = 0. Let u = -9 + h. Let i = 12 + -8. What is the lowest common multiple of u and i?
12
Find the common denominator of -56*8/6*(-1)/12 and -53/7.
63
Let h(s) = -s**3 + 8*s**2 - 6*s - 5. Let o be h(7). Suppose o*l - 24 = -2*l. What is the smallest common multiple of l and 12?
12
Let y be -3 - -4 - 80317/16. Let o = y - -5017. Calculate the common denominator of (0 + 1)*(-113)/(-12) and o.
48
Calculate the common denominator of -56/3 and 32/9 - 72/(-54).
9
Let q(z) = -z**3 + z**2 + z - 1. Let p(o) = 4*o**3 - 6*o**2 - 2*o + 2. Let v(y) = -p(y) - 5*q(y). Calculate the lowest common multiple of 2 and v(2).
18
Let l(y) = -1509*y**2 + 2*y + 3. Let m be l(-2). Let f = m + 132739/22. Find the common denominator of 127/6 and f.
66
Let o = -69 + 53. Let b be (1 - 0)*1*22. Let j = o + b. What is the lowest common multiple of j and 16?
48
Calculate the common denominator of (510/21)/(28/49) and 99/4.
4
Let a(m) = -m**3 + 6*m**2 - 6*m + 2. What is the smallest common multiple of a(4) and 2?
10
Suppose 5*j = j - 44. What is the least common multiple of 16 and (j + (3 - 0))*-1?
16
Let a = 94201/11960 - 2/1495. Find the common denominator of a and 62*6/16*2.
8
Let a(v) = 2*v. What is the least common multiple of 18 and a(13)?
234
Let b be 318/(-756) - (-4)/(-18). Let k be 4/6 - (-50)/105. Let i = b + k. What is