
5
Let c = 1110 + -6643/6. Calculate the common denominator of -23/10 and c.
30
Let i(n) = -4*n**3 - 2*n - 1. Calculate the least common multiple of i(-1) and 9.
45
Let s = -6 + 14. Let o be (-4 - 2)*12/8. Calculate the lowest common multiple of (-1)/3 + (-39)/o and s.
8
Let p = -9162 - -91537/10. Let u = -1 + -1. What is the common denominator of (u - 0) + (-166)/4 and p?
10
Let p = 2/3219 - 70852/54723. What is the common denominator of p and 155/(-4)*(-8)/(-20)?
34
Let h = -121627/35874 - -3/1993. Let p = 106 + -207/2. Calculate the common denominator of p and h.
18
Let t be -2 + 0 + (-345)/(-162). Let y = t + 161/54. Find the common denominator of ((-4)/24)/((-2)/226) and y.
18
Let j(m) be the third derivative of -m**6/120 + 7*m**5/60 - 5*m**4/24 - m**3/3 + 3*m**2. Let h = 35 - 17. Calculate the smallest common multiple of h and j(6).
36
Suppose 0 = -2*n - 5*h - 5, 2*n - n + 15 = -5*h. What is the least common multiple of n and 40?
40
Let b be 5 + -2 - (-3)/1. Calculate the common denominator of (1/4)/(b/(-412)) and -32/11.
66
Calculate the common denominator of 33 and -1 + (-3)/(36/(-94)).
6
Suppose 12 = 5*z - 13. Let f = -3 + 7. What is the least common multiple of f and z?
20
What is the lowest common multiple of (-10 - -15) + 1/1 and 19?
114
Let k = 281/5 + -3356/55. Find the common denominator of k and 13/14.
154
Let u(g) = g + 12. Calculate the least common multiple of 9 and u(-6).
18
Let f = 11 - 9. Find the common denominator of 1/8 and 1 + 73*f/40.
40
Let l(n) = n + 2. Let o = 16 - 11. What is the least common multiple of l(o) and 9?
63
Let j = 999039 - 7977849/8. Let y = 1813 - j. Calculate the common denominator of y and -83/2.
8
Suppose a = -2*b + 56, 2*a + 2*b - 103 = b. Let z = -20 - -28. Calculate the smallest common multiple of 2/(-8) - a/(-8) and z.
24
Let h(b) = -b**2 - 3*b + 5. What is the lowest common multiple of 3 and h(-4)?
3
Suppose -2*u = -u - 16. Let y be ((-3)/2)/(2/20). Let q = y - -23. What is the least common multiple of u and q?
16
Let h = -3268/35 + 438/7. Let b = h - -661/20. What is the common denominator of -55/2 and b?
4
Suppose -8 + 0 = -k. Let f(q) = -7*q - 25. What is the lowest common multiple of k and f(-5)?
40
Let j(x) = -x**3 - 4*x**2 - 7*x - 10. What is the least common multiple of j(-4) and 8?
72
Let g be (-5)/((-5)/(-8)) - 2. Calculate the lowest common multiple of (0 - (-1 - -2))*g and 3.
30
Suppose -5 = -j + 3*v, 5*j + 5*v = 36 - 11. What is the smallest common multiple of 6 and j?
30
Calculate the least common multiple of (14/6)/(2/12) and 7.
14
Let k = 218 - 71. Calculate the common denominator of -139/18 and k/90 + (-4)/(-6).
90
Let o = -34/1485 + 4085303/2970. Let z = o + -1347. What is the common denominator of 93/10 and z?
10
Let y(x) = -x**2 - 8*x + 2. Let q(t) = -t - 8. Let o be q(0). Calculate the least common multiple of 7 and y(o).
14
Let b = 21 - 1. Let q(l) = 10*l - 5*l + 2*l. Calculate the lowest common multiple of q(2) and b.
140
Let l(h) = -2*h - 18. Calculate the least common multiple of 6 and l(-13).
24
Let v(i) = -i**2 - 6*i + 8. Let s be v(-7). What is the common denominator of -5 - -2*(-453)/(-132) and 183/66 + s + -1?
22
Calculate the common denominator of -149/48 and 1*1/(4 - 16)*-125.
48
Let c(o) = o**3 - 2*o**2 - 4*o + 3. Let m be c(3). Suppose 3*k - 48 = -m*k. Suppose -p - k = -5*p. Calculate the smallest common multiple of p and 10.
20
Suppose 0*x - x = 0, 3*o + 3*x + 3 = 0. What is the lowest common multiple of o - 63/(-3) - 0 and 22?
220
Let s = -13595/8 - -1687. Find the common denominator of s and ((-68)/(-30))/(8/12 + -2).
40
Let y(a) = 1 + 2 - a - 1. What is the smallest common multiple of 4 and y(-5)?
28
Calculate the smallest common multiple of (-5 + -18 + 5)/(-1) and 8.
72
Let j = 1 + -5. Find the common denominator of (-2270)/105 + j/(-14) and 55/4.
12
Let c = 124 - 97. Calculate the smallest common multiple of c and 6.
54
Let s be (-3)/(2 + (-39)/18). Suppose 5*p = 2*l - 13, -6*l + s = -l + 2*p. Calculate the common denominator of -97/4 and (3/l)/(12/(-88)).
4
Let f = 40819/65 - 628. What is the common denominator of f and -49/9?
585
Suppose -3795 + 827 = -4*z. Calculate the common denominator of 109/6 and z/80 + 6/(-15).
24
Let r be ((-20)/(-6))/((-5)/(-30)). Let z = 16937/14 - 1209. What is the common denominator of (-66)/r - 2/(-10) and z?
70
Calculate the lowest common multiple of ((-20)/25)/((-1)/10) and 1.
8
Suppose y = -0*y + 3*b + 15, -5*b - 17 = y. What is the least common multiple of 2 and y?
6
Let q = 2333 + -20974/9. Find the common denominator of q and -70/3.
9
Suppose -5*o = 3*j - 50, 0 = -j - 0*o - 5*o. Suppose h + 0*h = 5, 0 = -4*z - h + j. Suppose z = w - 3. Calculate the smallest common multiple of 20 and w.
40
Suppose 2*i - 15 = -3*i. Let x be 0/2 + 0 - i. Find the common denominator of 51/10 and (-205)/45 - 1/x.
90
Suppose 0*x - 5*x - 3*n = -50, x + 5*n - 10 = 0. What is the smallest common multiple of (4 - (-1 - 2)) + -2 and x?
10
Suppose 0 = -0*h - h + 71. What is the common denominator of (h/4)/(27/36) and -17/6?
6
Suppose 2*y - 4*x + 2*x = 6, -3*y - 5*x = -1. Let k = -1781/3 - -1201/2. Find the common denominator of 5/(y*3/(-11)) and k.
6
Suppose 0 = 2*c + c + 24. Let h = -3929/180 + 187/9. Calculate the common denominator of (138/16)/(2/c) and h.
20
What is the smallest common multiple of 10 and (-28)/(18/(-4) - -4)?
280
Let o = -505/9749 + -8707855/13512114. Let a = o - 22/63. Calculate the common denominator of a and 145/12.
132
Let h be ((-4)/(-6))/(2/15). Let f(z) = 10*z - 41. Let y be f(8). Suppose 9 = 4*b + 3*r - 26, y = h*b - r. Calculate the smallest common multiple of 8 and b.
8
Suppose 3*q - 15 = 3*s, 3*s = -5*q - 0*s + 33. Calculate the least common multiple of 3/(3/(-2)) + 3 and q.
6
Let j = -17 + 27. Calculate the smallest common multiple of 12 and j.
60
Let l(b) = -b**3 - 5*b**2 + 5*b - 4. Let a(n) = n**2 + 6*n + 3. Let z be a(-4). Calculate the smallest common multiple of l(-6) and (2/(-4))/(z/20).
2
Let j = 0 - -3. Suppose 2*o + 3*o - 49 = -j*m, m - 2*o = -2. Let a = -5 - -16. Calculate the smallest common multiple of m and a.
88
What is the lowest common multiple of (-1 - (-6)/9)*-24 and 8?
8
Find the common denominator of 111/21 + (-6)/(-3) and (81/(-1))/(0 + -10).
70
Suppose -2*l + 36 = -6. Calculate the smallest common multiple of l and 3.
21
Let z = -3642 - -21805/6. What is the common denominator of -75/22 and z?
66
Suppose 0 = -2*n + 1 - 17. Let o be n + 2*(-2)/(-4). Let z(u) = -3*u - 3. Calculate the least common multiple of 16 and z(o).
144
Let k(t) = -t**2 - 4*t + 4. Let q be k(-6). Suppose -h + 2*h + 539 = -3*p, 0 = h - 2*p + 564. Calculate the common denominator of 2/q + h/(-24) and -35.
6
Let n(b) = 33*b + 2. Let k be n(5). Suppose -2*r + k = x, 6 + 4 = -2*x. What is the common denominator of r/(-120) - 3/9 and 81/20?
20
Let p(x) = -14*x - 7. Let q(l) = -5*l - 2. Let r(u) = -6*p(u) + 17*q(u). Let h be r(6). What is the common denominator of h - (-2)/((-60)/423) and 53/2?
10
Let z(i) = 2*i**3 + i**2 - 1. Let l be z(1). Suppose -l*h - 4 = -4*h. Calculate the least common multiple of 6 and h.
6
Suppose -h - 4*x - 18 = 0, -3*h + 2*x = -3 - 13. What is the lowest common multiple of 18 and h?
18
Let q(n) = n**3 + 35*n**2 - 44*n - 286. Suppose -3 = 4*p - 19, -60 = -4*y + 3*p. Calculate the lowest common multiple of q(-36) and y.
18
What is the common denominator of (-191)/(-48) - (-8)/(-48) and 30/11?
176
Let f = -51268949 - -21533010727/420. Let n = -2726/21 + f. Calculate the common denominator of 1/10 and n.
20
Let y be (14/(-3))/(4/(-6)). Let f = y - -5. Let a = 10 + -6. What is the smallest common multiple of f and a?
12
Suppose 0 = 2*m + m - 18. What is the common denominator of -27/10 and ((-4)/m)/(20/(-445))?
30
Let a be (-1)/(-3) + (-10)/(-6). Suppose 0 = a*x + 3*k - 5*k - 26, 4*k - 38 = -x. What is the lowest common multiple of 4 and x?
36
Let k = -37 + 57. Find the common denominator of 69/(-10) - (-10)/k and -31/9.
45
Let f = 41227/10 - 4127. Find the common denominator of 11/7 and f.
70
What is the lowest common multiple of 2 and 22 + (-3 + 1 - 2)?
18
Let x(w) = -w - 4. Suppose 18 = 3*z + 2*n, -2*n - 2*n = -4*z + 4. What is the smallest common multiple of z and x(-6)?
4
Calculate the common 