. Let n = j - -14/373. What is the common denominator of n and -25/2?
12
Let u(f) = f**3 + 3*f**2 - 2. Calculate the least common multiple of u(2) and 22.
198
Suppose -8 = -h - h. What is the smallest common multiple of 1/(21/10 + -2) and h?
20
Suppose 18 = 2*a + 5*w, w - 6 = 5*a - 3*a. Let p(z) = 41*z - 1. Let l be p(a). Calculate the common denominator of 19*-6*3/l and -31/10.
70
Let z = 3 + -5. Let g(b) = -5*b + 2*b + 2 + 0. What is the least common multiple of 8 and g(z)?
8
Let y = 29 - 23. Let w = 7 + -2. What is the least common multiple of y and w?
30
Let o(c) be the third derivative of -c**6/120 + c**5/10 + 3*c**4/8 + c**3/3 + 2*c**2. What is the lowest common multiple of 6 and o(7)?
48
Let l = 3 + -6. Let y = -6 - -5. What is the common denominator of 107/14 and (l/(-18))/(y/25)?
42
Suppose 3*m - 7*m + 9460 = 0. Let n = m + -21341/9. Find the common denominator of n and -37/2.
18
Suppose 0*a - 5*a + 80 = 0. Let l = -7 + 2. What is the smallest common multiple of a and l/20 + (-178)/(-8)?
176
Find the common denominator of -33/14 and 24/32*(-67)/(-9).
84
Suppose 0 = 3*c - 65 - 94. What is the common denominator of 56/(-64) - 2/(-8) and (-2 - c/(-3))/3?
72
Let t = 5 - 5. Suppose k - 16 - 7 = t. Suppose -3*s + k = -7. Calculate the least common multiple of s and 11.
110
Suppose 0 = 5*w - 2*q - 208, -w = 3*q - 2*q - 36. Let i = w + -20. Calculate the smallest common multiple of i and 1562/99 - 2/(-9).
80
Suppose 0*l - 168 = -8*l. Calculate the smallest common multiple of 18 and l.
126
Let f = -48 - -73. Let t = f + -20. What is the smallest common multiple of t and 9?
45
Let y(q) = 9*q + 2. Let b(u) = u + 5. Let j be b(-7). Let v = j + 4. What is the least common multiple of y(v) and 4?
20
Suppose 1 - 5 = -2*o. What is the least common multiple of o and 6?
6
Suppose 3*g - 12 = 6. Let n(d) = d**2 + d + 16. What is the smallest common multiple of n(0) and g?
48
Let l be (0/(-3))/(-2*1). Suppose 4*i + i - 20 = l. What is the smallest common multiple of i and (-2 - 0) + 7 + 3?
8
Let a(x) = x**2 + 13*x + 5. What is the least common multiple of 22 and a(-13)?
110
What is the common denominator of 9/10 and (28/80)/(1/6)?
10
Let n = 207 + -183. Calculate the smallest common multiple of 3 and n.
24
Let g(x) = -14*x**2 + 2*x + 1. Let f be g(-1). Let m be 7/5 - (-6)/f. Calculate the smallest common multiple of (-2 - (-2 + -10)) + m and 4.
44
Suppose 5*z - 25 - 25 = 0. Calculate the lowest common multiple of 14 and z.
70
Let a = 15464 - 9273. Suppose -3*m = -a - 2914. Let z = 30313/10 - m. Calculate the common denominator of 57/7 and z.
70
Let y = 40197696/799 + -50310. Let k = -39199/6392 + y. Calculate the common denominator of -7/6 and k.
24
Suppose 6*g - 6 = 3*g, -c - 5*g + 235 = 0. Calculate the common denominator of -27/7 and c/84*(-21)/6.
56
Suppose 4*w - 10 = -w. Suppose -3*q = w*z - 4 - 1, -q = -z. What is the common denominator of q and -83/10?
10
Let s = 18 + -16. What is the least common multiple of 4 and s?
4
Let h(x) = -2*x + 24. Let y(o) = o**2 - 1. Calculate the least common multiple of y(3) and h(9).
24
Suppose -x = -0 - 1. What is the smallest common multiple of 8 and x?
8
Let k = 253439/20 - 12676. Calculate the common denominator of k and 3/20.
20
Suppose 4*j - 41 = d - 14, 0 = -j + 5*d + 21. Suppose 0 = 4*w - 3*l - 42, 0 = 5*w - 2*l + 4*l - 41. Calculate the least common multiple of w and j.
18
Suppose 100 = 77*p - 72*p. Calculate the least common multiple of p and 32.
160
Let h = 14 - 14. What is the common denominator of (1 - 2)*(-22)/32 and h - -1 - (-107)/10?
80
Let t = 22 - 15. Suppose -4*d + t = -1, -g + 5*d = 0. Calculate the smallest common multiple of 2 and g.
10
Let i = 1046/7 - 9537/56. Let d = i - -545/24. What is the common denominator of 16 and d?
6
Let r be 2 + 3/(-9)*-3. Suppose -r*a + 31 = -515. Find the common denominator of (-4)/3*a/16 and -21/10.
30
Let f = 56 - 40. Let t(j) = -j**2 + 11*j - 3. Let s be t(11). Calculate the lowest common multiple of -8*((-9)/(-12) + s) and f.
144
Let c = -1979755/46 + 43040. Calculate the common denominator of -13/18 and c.
414
Find the common denominator of (-14)/14 - 162/(-8) and 43/14.
28
Let t(d) = -d. Calculate the least common multiple of 20 and t(-10).
20
Let t = 7 + -13. What is the common denominator of ((-232)/12)/(20/t) and 86*2/(8/(-1))?
10
Let d be 2/(-10) - (-2334)/45. Let m = -1531/24 + d. What is the common denominator of -53/18 and m?
72
Let x be (-12874)/2838 + (-3)/(-9). Let w = x + -3/43. What is the common denominator of w and (-2)/30*335/(-2)?
66
Suppose 2*s = 3*s - 12. What is the least common multiple of 14 and s?
84
Find the common denominator of (-1*4)/12 - (-50)/132 and 71/20.
220
Let z = -4870/9 - -540. Calculate the common denominator of 32/5 and z.
45
Let r(v) = v**2 - 6*v + 3. Let j be r(7). Suppose -35 + j = -5*u. Suppose -u = -3*c + 1. Calculate the lowest common multiple of 7 and c.
14
Let t = 2745/8 - 350. Calculate the common denominator of t and 113/12.
24
Suppose 5*p - 5 = -q + 31, 2*q + 8 = 0. Let o(z) = 5*z**2 - 2*z. What is the least common multiple of p and o(2)?
16
Let u(o) = -10*o - 1. Let r be u(1). Let b = r + 13. What is the lowest common multiple of b and 6?
6
Suppose -3*l + 80 = -5*v - 10, -l = v + 10. Suppose u = 5*p + 36 + 126, -5*u + 117 = -4*p. What is the common denominator of p and v?
1
What is the lowest common multiple of 3 and 10/4*(-72)/(-20)?
9
Suppose 0 = -3*z + 2617 + 5366. Let y = z + -10593/4. Find the common denominator of y and 5/7.
28
Suppose -5*k = -r - 26, -3*k + 4 + 16 = -5*r. Calculate the least common multiple of 35 and k.
35
Suppose 0 = 9*x - 103 + 49. Suppose -v = 2*v - 15. Suppose s - v*s = -16. What is the least common multiple of s and x?
12
Suppose 0 = -3*p + 4*p - 3. What is the common denominator of 49*(1 - 2/p) and 24?
3
Let m(u) = -2*u**3 + 4. Let j = 31 + -16. What is the lowest common multiple of j and m(0)?
60
Let f(k) = -k**2 + 6*k - 2. Suppose 10 = -d + 3*d. Let q be f(d). Calculate the common denominator of ((-62)/(-8))/(q/(-6)) and -39/2.
2
Suppose 3*g + 5*n - 29 = 0, -2*g - n + 18 = -13. Suppose -6*k + 2*k + 3*u - 43 = 0, 3*u - 53 = 5*k. What is the common denominator of (76/k)/(36/(-105)) and g?
6
Let f = 26992/11 + -2457. Calculate the common denominator of f and -67/14.
154
Let r(l) be the second derivative of l**4/12 - l**3/2 + 3*l**2/2 + 3*l. Calculate the smallest common multiple of r(4) and 10.
70
What is the common denominator of -95/4 and 54/396*(1 + 10/(-3))?
44
Find the common denominator of 135/(-16) - 30/(-10) and ((-31)/3)/((-8)/6).
16
Let i be ((-3)/(-147))/((-2)/188). Let b = i + -312/49. Calculate the common denominator of b and (34/12)/(20/(-36)).
70
Let v = 1 - 3. Calculate the common denominator of (-13)/(-24)*-26 - -2 and v/10 - (-38)/(-60).
12
Let h(q) = -2 + 4 + 2*q**2 - 3*q - q. Let j be h(2). Suppose 0 = 3*l - j - 22. Calculate the smallest common multiple of l and 4.
8
Let i(r) = r**3 + 8*r**2 - 4. Suppose 0*k - 12 = 2*l - 2*k, 2*l = -4*k - 24. Let f be i(l). What is the common denominator of f/(-6) + (-1)/(-30) and -17/16?
80
What is the smallest common multiple of 12/(-8)*(-88)/6 and (-4)/(-18) - 124/(-9)?
154
What is the smallest common multiple of (-48)/(-2) - (-8 + 4) and 2?
28
Let g = -3541 + 14245/4. Find the common denominator of 7/12 and g.
12
Suppose 2*i = 3*f + 17 - 6, 2*i - 5 = 5*f. Calculate the common denominator of (2/i)/((-36)/(-1330)) and 29/2.
18
Calculate the lowest common multiple of (-26)/(-286) - 32/(-11) and 3.
3
Suppose -5*x + 2 = -4*x. What is the least common multiple of x and 12?
12
Let m be (48 + -4)*(1 - 0). Let v = -22 + m. Calculate the smallest common multiple of 14 and v.
154
Suppose -5*f = 5*v + 5, 2*f - 7*f - 2*v = -7. Let r be ((-3)/(-1))/((-2)/(-14)). What is the smallest common multiple of 20 and r/f + -4 + 1?
20
Let r be (-363278)/48*(-8)/(-6). Let a = r + 10096. What is the common denominator of a and -101/18?
18
Let u = 38423 - 1652303/43. Let r = u - -2869/774. Calculate the common denominator of r and -95/16.
144
Let j(l) = l - 7 + 3 + 0*l. Let n be j(3). Find the common denominator of (-62)/(-8) - n/(-2) and 89/12.
12
Let i(o) = o - 5. Let w be i(6). Suppose w = n, 3*l - 4 = 4*n - 14. Calculate the common denominat