Let f be (-3307)/(-60) + (-8)/12. Let a = -99/20 + f. Find the common denominator of a and 22.
2
Let s(p) = p**3 - 2*p**2 + 2*p. Let t be s(2). Suppose 5*i - t = 6. What is the common denominator of -27/8 and ((-25)/6 - i)/(-1)?
24
Let m = 19 - 11. Let i(b) = 3*b**2 - 3*b - 4. Suppose -4*r + 2*r = -6. What is the smallest common multiple of m and i(r)?
56
Let w(k) = 4*k - 2. Let i(x) = 2*x + 1. Let f be i(-1). Calculate the lowest common multiple of w(1) and f/3 - (-102)/9.
22
Suppose 0 = -0*a + a - 6. Calculate the least common multiple of 11 and a.
66
Suppose 0 = 2*g + 2 - 6. Calculate the smallest common multiple of g and 5.
10
Suppose -4*h + 29 = -7. Calculate the lowest common multiple of h and 9.
9
Suppose -3568 = 4*s + 3*y, -3*s + y + 3*y = 2676. Let r = 3613/4 + s. Find the common denominator of 31/4 and r.
4
Let y = -3 - 0. Let n(j) = j**3 + 3*j**2 - 3*j + 3. Calculate the smallest common multiple of n(y) and 4.
12
Suppose 0 = 5*k + 5 - 115. Suppose 33 = 3*r - 63. Suppose 5*a = -12 + r. What is the lowest common multiple of k and a?
44
Let m = 9 + -7. Suppose 4*p - 44 = -4*b, p - m*b = 2*p - 15. What is the lowest common multiple of (p - 1)/(2/3) and 10?
90
Let u = -12 + 12. Suppose u = -5*w + 30 + 20. Calculate the lowest common multiple of w and 2.
10
What is the common denominator of (-75)/200*26/(-15) and 89/10?
20
Suppose 0*t = -5*t + 5. Let d(o) = -o**3 + 5*o**2 + 4*o. What is the least common multiple of 159/6 + t/(-2) and d(5)?
260
Let y be (-14)/35 + 13/(-5). What is the common denominator of (y*8 - -1)/10 and 35/11?
110
Let u = -6 - -16. Suppose -u*m = -5*m - 50. Calculate the smallest common multiple of m and 2.
10
Let j be (-5)/(-2) - (-4)/(-8). Let z = j + 22. Find the common denominator of 4 and z.
1
Suppose -l = -2*a, 0 = -3*a + 5*a. Let h = l + -2. What is the least common multiple of h + 0 + 11 + 2 and 1?
11
Calculate the common denominator of (1 - (-28)/(-20)) + (-418)/(-70) and 9/11.
77
Suppose -3*q - 72 + 168 = 0. Calculate the least common multiple of q and 9.
288
Calculate the smallest common multiple of 2 and (12/10)/((-15)/(-50)).
4
Let k(d) = d - 3. Let i be k(6). What is the smallest common multiple of (-20)/(-3) + 4/(-6) and (3/(-9))/((-1)/i)?
6
Find the common denominator of -2 - (-4 - 12/(-45)) and 70/27.
135
Suppose 0*g = -2*g + 32. Let j = 60 - 40. What is the least common multiple of j and g?
80
Let d(k) = k**2 + 2*k - 3. Let m be d(-3). Suppose 5*x + m*x = 35. Let w = -20 - -31. What is the least common multiple of w and x?
77
Let q(a) = -a**2 + 10*a - 5. Let z(m) = -m**3 + 9*m**2 - 8*m + 9. Let p be z(8). Calculate the smallest common multiple of q(p) and 6.
12
Let z = 3 - -13. Calculate the smallest common multiple of z and 2.
16
What is the common denominator of 2/(-6)*(-216)/45 and -55/4?
20
Let y(w) = w**3 + 8*w**2 + 3*w - 20. Calculate the least common multiple of y(-5) and 22.
440
Let b be (-2)/(-4) - (-10)/4. Suppose b = -3*l + 4*l. Suppose -l*x + 3*o + 30 = -0*o, 5*x - 18 = -3*o. What is the smallest common multiple of x and 6?
6
Suppose -3*f + 2*f = 401. Find the common denominator of (-87)/14 + 4/2 and f/(-10) - 12/(-30).
14
Let i(r) = -9*r + 6. What is the lowest common multiple of i(-2) and 33?
264
Suppose 84 = -x - 3*x. Let r = x + 33. What is the least common multiple of r and 16?
48
Suppose 2*m = 13 + 3. Calculate the smallest common multiple of m and 20.
40
Let n(f) = -2*f. Let r be n(-4). Find the common denominator of 43/8 and -1 + 0 - 308/r.
8
Suppose 2*v = 3*v - 9. Suppose 4*w = -2*t - 0*t + 10, t = w - 10. Let n(j) = j**2 + 2*j - 5. What is the least common multiple of n(t) and v?
90
Let s be (27/6)/((-3)/(-4)). Let n be 10*(s/4)/(-1). What is the common denominator of 3/(-4)*n/(-6) and 89/4?
8
Let w = -261 + 269. Suppose -3*g + 3 + 3 = 0. Calculate the lowest common multiple of g and w.
8
Let r = 261781/30 + -8729. Let t = 5230 - 94171/18. What is the common denominator of r and t?
90
Suppose -25 = 3*n + 29. What is the least common multiple of 10 and (2 - n/(-15))*5?
20
What is the common denominator of 23/4 and 1/(-3) - (-583)/(-330)?
20
Let k = 245 - 2707/11. Calculate the common denominator of k and -3/5.
55
Let s(l) = -l**3 - 6*l**2 - 5*l - 1. Let r be s(-7). Find the common denominator of 44/11 + r/6 and (2/(-12))/(5/219).
30
Let f(s) = -3*s + 12. Let d be f(8). Let r = -13207/10 - -1327. What is the common denominator of (5/(-3))/(d/(-162)) and r?
10
What is the least common multiple of 14 and (-4 + 4)/1 - -2?
14
What is the common denominator of 3177/(-216) + (-2)/16 and 38/17?
102
Let i = 9 + -7. Suppose -g = -4*g + z + i, 3*z - 18 = -3*g. What is the lowest common multiple of g and 16?
16
Calculate the common denominator of -81/8 and ((-57)/(-35))/((-2)/(-7)).
40
Let p = 7240 + -75501/10. Let j = p - -305. What is the common denominator of -10/3 and j?
30
Let v be 3 + -10 + -3 + 3. Find the common denominator of 9 and ((-36)/(-15))/(v/(-20)).
7
Let y = -18 + -5267. Let r be y/(-4)*(-3)/(-120). Let f = -15/32 - r. Find the common denominator of f and 68/3.
6
Let y(m) = -2*m + 9. Let i = -8 - -12. What is the smallest common multiple of 11 and y(i)?
11
Let u be 1 + 0 + -2 + 3. Suppose v + u = 0, 3*v = -2*i + 4*v + 10. What is the smallest common multiple of 10 and i?
20
Suppose -3*d + 3*y = -81, -3*d - 5*y = -3 - 118. Suppose -4*o - 5*i + 49 = 0, -o - d = -3*o - 4*i. Calculate the smallest common multiple of o and 22.
66
Let i be (-1 - 0) + -1 + 4. Calculate the common denominator of 237/8*(-56)/(-126) and i/30*-13*3.
30
Let x = 70975/12 - 5918. Calculate the common denominator of x and -115/6.
12
Let r be 1/(15/6 + -2). Let l be 6*(r - (-14)/4). What is the common denominator of 8/3 and -1*192/l + 2?
33
Let n = 13527/10 + -1346. Calculate the common denominator of n and -21/64.
320
Let c(o) = -o**2 - 27*o + 126. Let b be (-3)/(0 - 3/4). Suppose b*k = k + 15. What is the least common multiple of c(-31) and k?
10
Let i = -32/9 - -661/153. Calculate the common denominator of -53/9 and i.
153
Let l be 2389/11 - 6/33. Let m = -1411/6 + l. What is the common denominator of m and 75/22?
66
Let l = 1057/78 + -135/13. Let d = 0 + 2. What is the common denominator of l and d/5 - (-163)/(-20)?
12
Let w = 62 - 44. Calculate the smallest common multiple of w and 10.
90
Suppose 0 = 6*o - o - 150. What is the common denominator of 31/8 and 632/o - 6/(-10)?
24
Suppose 6*v = v + 5. Calculate the lowest common multiple of 6 and v.
6
Suppose 22 = r - 4*z, -2*r + 3*z + 0*z + 19 = 0. What is the common denominator of -1*183/(-12) - r and 73/8?
8
Let r(j) = j**2 - j - 1. What is the common denominator of r(0) and 43/7?
7
Suppose -3*a + 3*x + 12 = -0*a, a = 5*x + 8. Let k = -7 + 13. Calculate the smallest common multiple of a and k.
6
Suppose -46 = -5*u + 4. Calculate the smallest common multiple of 4 and u.
20
Let l = 4357157/68 + -64077. Find the common denominator of l and (-533)/72 - 1 - (-16)/(-72).
136
Let z(k) = -k**2 + 6*k - 16 + 16. What is the lowest common multiple of 3 and z(5)?
15
Let n = 6 - 2. Calculate the smallest common multiple of n and 8/(2 - 9/6).
16
Let c = 11 - -11. Let u(d) = 11*d - 1. What is the smallest common multiple of c and u(1)?
110
Let l(t) = 11*t**3 - 4*t**2 + 7*t - 8. What is the lowest common multiple of 18 and l(2)?
234
Suppose 5*d - 19 - 33 = 4*t, 4*t + 40 = 2*d. Suppose -11 = -g - 5*y - 4, 2*y = -2. Calculate the lowest common multiple of g and 36/1*(-4)/t.
36
Let w(o) = -3*o + 10. Let z = -14 - -21. Let c be w(z). Calculate the lowest common multiple of 2 and (-3)/9*c*6.
22
Let x(c) = -c**3 - 5*c**2 + 5*c + 8. Calculate the smallest common multiple of x(-6) and 18.
126
Let m be -7 - 2/(2 - 0). Let f(u) = -u**2 - 9*u + 32. Find the common denominator of f(-10) and 7/3*39/m.
8
Let z be (-10)/55 - 128/22. Let r = -5 - z. Calculate the lowest common multiple of r and 6.
6
Calculate the common denominator of (-4427)/114 - (-4)/(-6) and 29/8.
8
Let k = -8 + 18. What is the least common multiple of 4 + (k - (2 + 0)) and 20?
60
Let h be -2 - (2 - (-40818)/(-16)). Let p = -2538 + h. Calculate the common denominator of p and -101/6.
24
Let v be (-5)/(-4) - 9/(-12). Suppose v*h = -h + 9. Suppose -j + 64 = h*j. Calculate the least common multiple of 12 and j.
4