
50
Let q = 13 + -1. Calculate the least common multiple of 22 and q.
132
Let z = -10/101 + 3989/505. What is the common denominator of z and 73/8?
40
Let p(g) = g**3 - 4*g**2 - 2*g - 5. Let v be (-15)/2*8/(-12). What is the smallest common multiple of 10 and p(v)?
10
Let r = -30399/8 - -3794. Calculate the common denominator of r and 6/(-16)*2684/264.
16
Suppose -7*o + 2*o + 60 = 0. Let m = 12 + -4. What is the smallest common multiple of o and m?
24
Let b(c) = -24*c**3 + c**2 - c. Find the common denominator of 8/6*(-162)/(-20) and b(1).
5
Let o(m) = -14*m**2 - 9*m - 3. Let f(y) = 7*y**2 + 4*y + 1. Let g(r) = 5*f(r) + 2*o(r). What is the lowest common multiple of g(1) and 0 - (0 - 4/2)?
8
Let k = -1529334674697/7966 - -191982759. Let q = 1/3983 + k. Find the common denominator of -71/4 and q.
28
Let a = 38 - 22. Calculate the smallest common multiple of a and 8.
16
Let y = -13 - -19. Let g be (8/3)/((-2)/y). Calculate the common denominator of -57/22 and (-5)/g*15/2.
176
Suppose 0 = -5*j + 5*w + 35, 3*w + 23 = 5*j - 10. Calculate the least common multiple of 12*(4/3 + 6 + -6) and j.
48
Let c = -5 - -14. Let k = -2 + c. Calculate the least common multiple of k and 7.
7
What is the common denominator of 114/18 - 1/(-6) and 151/12?
12
Let l = -163183/61 - -2675. Let h = l - -316/549. What is the common denominator of 37/3 and h?
9
Let x(g) = -g**2 + 5*g + 2. Let c be x(5). Let s be (-1660)/(-3)*(-3)/c. Calculate the common denominator of 2/9 + s/36 and -69/14.
42
Let l = -5 + 7. Suppose 70 = 5*c + l*u, -34 = -3*c + c - 2*u. What is the lowest common multiple of c and (18/(-5))/6*-30?
36
Let a be 2/(-764)*(-35624)/(-20). Let d = 12/191 + a. Find the common denominator of 15 and d.
5
Suppose -10*f + 8*f = 12. Let n(j) = j**3 + 6*j**2 - 2*j - 2. What is the lowest common multiple of 14 and n(f)?
70
Let x = -52 - -73. Let h(f) = f**3 + 5*f**2 - f. Let t be h(-5). What is the common denominator of (1/(-2))/(t/31) and x?
10
Suppose -6*j + 52 = -4*j. Calculate the common denominator of (54/14)/(j/91) and 35/6.
6
Suppose -12 + 10 = -x. Let q(p) = p**2 - p - 1. What is the smallest common multiple of x and q(-2)?
10
Let k = -1 - -5. Suppose -1 = k*z + 3. Calculate the common denominator of z/12*(-63)/5 and -31/12.
60
Suppose 52*o = 54*o - 42. Calculate the smallest common multiple of 6 and o.
42
Let d = -466 + 16278/35. Find the common denominator of -9/4 and d.
140
Suppose 0*a + a - 7 = 0. What is the lowest common multiple of 5 and a?
35
Let y be (-11 + 1)/((-1)/3). Suppose -p - 4*p + y = 0. What is the least common multiple of p and 6?
6
Suppose -p + 3*h = -1 - 9, -p + 2*h + 10 = 0. Calculate the lowest common multiple of 2 and 5/2 - 5/p.
2
Let b be ((-2)/(-4))/((-1)/(-8)). Let u(f) = -f**2 + 7*f - 5. Suppose 3*d - 20 = 4*w, 2 = -2*w + w. What is the smallest common multiple of u(b) and d?
28
Let l be -2 + 9/(-328)*-73. Let m = -16403/984 + l. Calculate the common denominator of m and -1 - (220/32 - 2).
24
Let s(q) = -2*q**3 - 5*q**2 + q + 2. What is the lowest common multiple of 8 and s(-4)?
184
Suppose -145 + 181 = 3*n. Calculate the lowest common multiple of 24 and n.
24
Let w be (-21382930)/235*(-1)/(-2). Let c = 45499 + w. Let i = -6179/752 + c. Calculate the common denominator of 65/14 and i.
112
Let u = -91 + 63. Calculate the common denominator of 107/110 and u.
110
Let h(u) = u - 1. Let t be h(1). Let m = 8 - t. What is the lowest common multiple of 20 and m?
40
Let x be (-70368)/20 + (-2)/(-5). Let z = x - -28081/8. What is the common denominator of -2 + 142/4 + 1 and z?
8
Let z = 0 - -2. Suppose -160 = 2*v + z*v. Calculate the common denominator of v and 125/6.
6
Let y(a) = a**2 - 10*a + 18. Let q be y(12). What is the common denominator of 61/10 and (8/(-3))/(q/(-27))?
70
Suppose 0 = -b + 4*b - 18. Suppose 5*d - 5*u = 40, 2*d - u = -1 + 22. What is the lowest common multiple of b and d?
78
Let b(a) = a + 4. Let m be b(-5). What is the least common multiple of 10 and m*(3 + -6 - 6)?
90
Let n be (-16)/6*(-60)/(-8). What is the common denominator of 10/n + (-95)/(-6) and 89/8?
24
Let o = -210 + 352. Let p = 421/3 - o. What is the common denominator of -67/2 and p?
6
Let v = 17 - 15. Calculate the least common multiple of v and 30.
30
Let n(o) = -o**2 + 29*o + 13. What is the smallest common multiple of 9 and n(26)?
819
Calculate the least common multiple of ((-2)/(-2))/(7/28) and 4.
4
What is the common denominator of 18/24 - (-1902)/360 and -33/4?
60
Suppose 0 = 3*z + 5*b - 32, z + 8 = 2*z - b. Let o = 7 + -6. Suppose -j - 5*m + 25 = -o, 0 = -4*j - m + 47. What is the least common multiple of z and j?
99
Suppose 3*r + 4*r = 7. Calculate the smallest common multiple of r and 8.
8
Suppose v - 8 = -v. Let i = 8 - v. Calculate the lowest common multiple of (-53)/(-5) + 6/15 and i.
44
Let l(p) = 4*p - 14. What is the lowest common multiple of l(4) and 7?
14
Let u = -2 - -10. Calculate the lowest common multiple of 12 and u.
24
Let v(w) = w**3 - 2*w**2 - 4*w + 3. Let k be v(3). Suppose 0 = 2*c - 4*m - 22, -c - c - 2*m + 22 = k. What is the least common multiple of c and 9?
99
Let y(s) = -s**3 - 2*s**2 - 5*s - 4. Suppose -19 - 1 = -2*h. Calculate the least common multiple of y(-3) and 4/(-10) + 144/h.
140
Suppose 2*f = 5*f - 12. Let w(v) = -v + 13. Calculate the smallest common multiple of w(11) and f.
4
Calculate the least common multiple of 22 and (-3)/(-2)*(-32)/(-12).
44
Let z = 10729/5940 + 13/297. Find the common denominator of z and 29/(-72) - (-14)/(-63).
40
Let h be 10/3*(-132)/(-55). Let a be (0 + 0 - 0) + 2. Suppose 2*i - h = a. What is the lowest common multiple of i and 2?
10
Suppose 4*h + 40 = -p + 6*p, 2*h + 14 = 2*p. What is the lowest common multiple of p and 9?
36
Suppose 97 = -3*p + 22. Let o = p + 36. What is the smallest common multiple of 7 and o?
77
Let q(h) = -h**3 + 8*h**2 - 7*h + 5. What is the least common multiple of q(7) and 5?
5
Let w(p) = p**2 - p - 4. Let d be w(4). Calculate the common denominator of ((-278)/24)/(4/d) and -31/8.
24
Let y = 129 + -87. Suppose 2*g + y = 2*j, 2*j + g = j + 15. What is the lowest common multiple of j and 4?
36
Suppose -3*g + 4 = -2*o, 0*g - 5 = -2*g - o. Let l be ((-8)/6)/(g/6). Calculate the common denominator of (267/l)/(9/2) and 43.
6
What is the common denominator of -93/4 and 13/(-6) + (-18 - -17)?
12
Let a(b) = 7*b + 1. Calculate the least common multiple of 6 and a(3).
66
Let p(f) = f**2 - 4*f + 2. Let v be p(4). Suppose -3*r - v = -2*r. Let y(m) = -3*m + 1. Calculate the least common multiple of 8 and y(r).
56
What is the common denominator of (-118)/32 - (10 - 8) and 101/4?
16
Let r(x) = 2*x. Let z be r(5). Let g(u) = 10 + 11*u - u**3 + 0 + 0*u**3 + 0*u**3 + z*u**2. Calculate the least common multiple of 22 and g(11).
110
Calculate the common denominator of 345/18*1/(-2) and 354/40 - (-3 + 6).
60
Let h = 8 - 8. Suppose -2*w = -h - 12. Calculate the lowest common multiple of w and 6.
6
Let q = 8 + 2. Find the common denominator of 61/6 and 1/q*585/6.
12
Suppose -111 - 169 = -7*u. Calculate the smallest common multiple of u and 5.
40
Suppose 24 = a + 3*a. What is the lowest common multiple of a and 22?
66
Calculate the common denominator of 114/(-8) - (6/4 - 1) and -32/11.
44
What is the common denominator of (6/153)/(((-28)/3)/(-7)) and -85/14?
238
Let l = -31 + 18. Let a = l - -25. What is the least common multiple of a and 22?
132
Let x(c) = c**2 + 2*c + 5. What is the lowest common multiple of x(-7) and 8?
40
Let o(b) = -7*b - 3. Let g be 34/6 + 3/9. Let i = g - 9. Calculate the least common multiple of 2 and o(i).
18
Let c be (24/(-9))/(2/(-3)). Suppose 2*j = -2*l - 4, 3*l - 2*j = -4*j - c. Suppose l = -3*m - 5 + 26. What is the lowest common multiple of m and 9?
63
Let g be 671 - 5/((-20)/6). Let k = -1976/3 + g. Find the common denominator of k and -67/8.
24
Suppose 2*d = -4*w + 20, 7*d + 2 = -w + 3*d. Suppose 6 + 12 = 3*q + p, 0 = -2*q - 2*p + 12. What is the least common multiple of q and w?
6
What is the least common multiple of (-288)/(-80)*(-40)/(-6) and 5?
120
Suppose 1 - 11 = -a. Let w = 13 - 11. Calculate the least common multiple of a and w.
10
Let w be 4397163941266354/172340 + 8/20. Let d = 25514471045 - w. Let f = d - 2/1231. Find the common denominator o