i = -4557/4 + 1153. Calculate the common denominator of i and 41/18.
36
What is the common denominator of 21/4 and 289/24 + 3/(-18)?
8
Suppose 4*d - d - 5*f = 21, 3*f + 11 = d. Suppose -3*c = -0 + 6. Calculate the smallest common multiple of d and (-52)/(-8) - c/(-4).
6
Let f be (-164)/(-14) - (-8)/28. Suppose 14 = 2*l + 2*z + 2, 2*l - f = z. Calculate the smallest common multiple of 11 and l.
66
Suppose 2*s = -1 + 5. Suppose s*l - 32 = -2*z + 4*l, 48 = 4*z + 4*l. Suppose 35 = 4*r + c, r + 2*c = c + 5. Calculate the smallest common multiple of r and z.
70
Suppose o + 20 = 5*o. Suppose 0 = -n + 4. What is the smallest common multiple of o and 20/(-8)*n/(-5)?
10
Let a be (3526/4 - 0)*12. Suppose 3*v = -0*v - a. Let i = 14183/4 + v. What is the common denominator of i and -23/11?
44
Suppose -33 + 8 = -5*g. Suppose -j - 3*x - 30 = -3*j, g*x + 10 = 0. Suppose 110 = 7*s - 2*s. What is the lowest common multiple of j and s?
132
Suppose 2*d - 44 = -0*d. What is the least common multiple of d and 40?
440
Let s = -853 + 4306/5. Let u = 1/424 + 16109/1272. Find the common denominator of s and u.
15
Suppose 18 = 5*k - 17. Find the common denominator of (-10)/(-5) - k/(-18) and 37/12.
36
What is the common denominator of 58/3 and (-69)/(-9)*6/(-4)?
6
Suppose 2*w + 120 = 3*w. What is the common denominator of -35/9 and (-4)/(-1)*(-148)/w?
45
Let n be ((-9)/6)/(3/(-6)). Suppose -15 = -0*v - n*v. What is the smallest common multiple of 1 and v?
5
Suppose -2*o + 6*o = 12. Suppose 3*h - 13 = 2*h + 5*w, 0 = -4*h - o*w + 6. What is the smallest common multiple of 7 and h?
21
Let a be (3 - 2) + (-189622)/(-20). Let t = a - 9535. Let b = -55 - t. Find the common denominator of 35/11 and b.
110
Let o be 7/(-42) - 207713/25794. Let p = o + -4/1433. Find the common denominator of p and -13/18.
18
Let i(u) = 7*u**2 + u. Let t = -2 - -1. Calculate the lowest common multiple of 8/32 - (-15)/4 and i(t).
12
Let i = -25 - -28. Calculate the least common multiple of 10 and i.
30
Let m = -42714 + 1708429/40. Let o = 43/8 + m. What is the common denominator of o and 59/7?
70
Let d(s) = -5*s + 1. Let w(z) = -z**2 + 6*z + 2. What is the smallest common multiple of d(-1) and w(5)?
42
Let h = 914 + -5557/6. What is the common denominator of 16/21 and h?
42
Suppose -12 = -o - 0*o + x, 5*o - 42 = -4*x. Calculate the lowest common multiple of o and 4.
20
Let y = 2861/82 - -66/41. Calculate the common denominator of -9/7 and y.
14
Suppose -745 = -2*c - 75. Suppose s + c = 6*s. What is the common denominator of 57/7 and (-5)/20 - s/4?
7
Let l = -3978/5 - -71059/90. What is the common denominator of 93/10 and l?
90
Let l(i) = -3*i - 7. Let g be l(-3). Suppose -5*x + 0*x = -3*f - 10, 6 = 3*x + g*f. Find the common denominator of x and ((-3)/(-8))/(10/(-168)).
10
Let m = 1236 + -531. Let u = -1471/2 + m. Find the common denominator of 147/20 - (-2)/(-16)*2 and u.
10
Let p(g) = -g - 6. Let w be p(-8). Suppose 0*i - w*i + 46 = 0. Suppose m - i = -9. Calculate the least common multiple of m and 18.
126
Suppose 3*o + 215 = -m, -o - 3*m - 42 = 19. Let h = o - -132. What is the common denominator of -13/10 and ((-2)/(-8))/(2/h)?
40
Let d(c) = -11*c**2 + 3*c + 8. Let t be 4/14 + (-94)/(-14). Let z be d(t). What is the common denominator of 31/3 and (-1)/(-3)*z/4?
6
Suppose -q = 4*q + 75. Find the common denominator of -83*(q/(-18) - 1) and ((-351)/(-30))/((-9)/(-3)).
30
What is the common denominator of 12/5 and ((-649)/(-18))/(-11)*-3?
30
Let a = 47 + -29. Calculate the lowest common multiple of 22 and a.
198
Suppose -d + 33 = -4*f, 4*d - 4*f = 36 + 48. Let h = -9 + d. What is the least common multiple of 16 and h?
16
Let x(v) = -v**2 + 4*v + 7. Let g be x(6). Calculate the common denominator of g/(-6)*17/(-2) and -79/12.
12
Suppose -2*l - 8 = 4*x - 2*x, 4*l - 3*x = -2. What is the smallest common multiple of 30/(-6*l/8) and (16/(-14))/((-10)/35)?
20
Find the common denominator of 89/15 and (28/6)/((-2)/(-3)).
15
Let h(j) = -j**2 - 4*j + 50. Calculate the lowest common multiple of h(0) and 15.
150
Let f = 23/15 + -233/240. Find the common denominator of f and -109/20.
80
Let n = -3196 + 28706/9. Calculate the common denominator of -22/9 and n.
9
Let s = 7839 + -172411/22. Calculate the common denominator of s and 73/3.
66
Let v = -108091/28 + 3861. What is the common denominator of v and 23/2?
28
Suppose -4*o - o - 50 = 0. Let k = o - -10. Suppose 3*d = -g + 19, 2*d + 2*g + 0*g - 6 = k. Calculate the lowest common multiple of d and 6.
24
Calculate the common denominator of 56/11 and -33 - 4/((-4)/(-3)).
11
Find the common denominator of -27 and 38/(-19)*(-131)/12.
6
Let b = 16 + -12. What is the smallest common multiple of b and 6?
12
Let p = -389 - -681/2. What is the common denominator of 0 + ((-291)/(-2))/3 and p?
2
Let h = -2/351607 - 2605056251/2109642. Let c be (-716)/(-2)*3/6*-7. Let l = c - h. Find the common denominator of -83/18 and l.
18
Let m = -48 - -55. Suppose -2*u - p = 6, -4*u + 7*u - 4*p - 13 = 0. Calculate the least common multiple of m and 1 - ((0 - 1) + u).
21
Let a = -22 - -13. Let b = 23 + -21. What is the least common multiple of (-14)/(-6) + 3/a and b?
2
Let z be -2 - -2 - (1 - 1). Suppose z = -r + 3*r + a - 26, 3*r - 2*a - 25 = 0. What is the smallest common multiple of 5 and r?
55
Suppose -2*y + 2*w = y - 48, 0 = w - 3. Let j(i) = -2*i - 4. Let x(c) = c + 3. Let k be x(-7). Calculate the least common multiple of j(k) and y.
36
Suppose -4*a = a - 20. Suppose -3*h + 18 = -3*j - j, -3*h = a*j + 30. What is the common denominator of 88/(-10)*(-3)/j and 30/7?
35
Calculate the lowest common multiple of 16 and ((-56)/(-10))/(((-36)/10)/(-9)).
112
Let y = -6343/12 - -531. What is the common denominator of y and -37/27?
108
Let g = 19 + -11. Let f be 5/10 - 1/2. Suppose f = -2*a, 0*a = 4*d + a - 8. Calculate the smallest common multiple of g and d.
8
Calculate the common denominator of -73/18 and (42/(-343))/(8/14).
126
Let j = 1030569/7 + -146556. Let w = j + -672. Calculate the common denominator of 23 and w.
7
Calculate the common denominator of ((-26)/(-15))/((-6)/9) and ((-84)/49)/(30/28).
5
Let j = -29231/34515 - -2/2655. What is the common denominator of j and (-34)/18 + 0 + 2?
117
Let y = 359 + -1826/5. Find the common denominator of 94/15 and y.
15
Suppose b - 81 = -5*f, 0*b - 4*b = -4. Suppose 2*n + 4*m = 32, -56 - 8 = -4*n + 4*m. Calculate the least common multiple of n and f.
16
Let m(b) = 4*b + 3. Let f(k) = 3*k + 4. Let a(c) = 5*f(c) - 4*m(c). Calculate the smallest common multiple of 6 and a(-8).
48
Let s = 174278/3 + -58824. Let t = s - -8593/12. Find the common denominator of -11/2 and t.
4
Let a(k) be the second derivative of k**3/6 + 3*k**2/2 - 2*k. What is the lowest common multiple of 8 and a(3)?
24
Let a(z) = z**3 - 2. Let x be a(0). Let f = -4319/636 - 9/212. Calculate the common denominator of x/1 - (-34)/16 and f.
24
Let i(h) = 7*h**2 + h - 5. Let q be i(-4). Let b = -59 + q. Suppose r - b = -4*t, -3*t = -0*t - 4*r - 33. What is the lowest common multiple of t and 2?
22
Calculate the common denominator of 45/11 and 2 + -1 + 32/9.
99
Suppose 61 = 15*p - 74. What is the least common multiple of p and 1?
9
Let j = 123 + -114. What is the least common multiple of j and 8?
72
Suppose -3*u - 20 = 2*u. Let t = 19 + -11. What is the smallest common multiple of t and (u - -5)/(2/2)?
8
Let q = 73668403 + -66669911654/905. Let v = q + 2/2715. Find the common denominator of -10/9 and v.
9
Let z = 2402/133 - 240/19. Let r = -44237233819/3614970220 + -3/3845713. Let y = -7/188 - r. What is the common denominator of z and y?
35
Let j(h) be the third derivative of -h**6/8 - h**5/60 - h**4/24 - h**3/6 + 4*h**2. Let y be j(-1). Find the common denominator of 21/5 and (-61)/y - 1/2.
35
Suppose -w + 6*w + 3*q = 1264, 2 = -q. Let z = -419 - w. Let v = z + 1987/3. What is the common denominator of -37/10 and v?
30
Let k(t) = -4*t - 7 + 0*t - 3*t. Let n be k(-5). Let o = -8 + n. Calculate the lowest common multiple of 6 and o.
60
Let n = -2/2594803 - 168657263/6398784198. Let a = n - 4/137. Find the common denominator of a and -43/16.
144
Suppose x - 6*x = -15. Find the common denominator of 49/x + (-1)/2 and ((-8)/(-12))/((-1)/24).
6
Suppose 0*r = -r - 13. Let z = r + 