n multiple of n and 4.
12
Let g be (-3)/(-1 - 0) + -1. Suppose 3*x = -0*x - 45. Calculate the common denominator of x and (79/4 - g)*-1.
4
Let k be (-1 - 1/(-1))/1. Let b(x) = -x + 8. Calculate the smallest common multiple of b(k) and 4.
8
What is the common denominator of (1 - 2) + 3 + 438/(-120) and (76/12)/((-8)/9)?
40
Let l be 14/63 - (-492)/(-27). Let v = -15 - l. What is the lowest common multiple of 6 and v?
6
Let i = -6027435523/410 + 14701052. Let n = 174/205 - i. Find the common denominator of n and 21/16.
80
Suppose -5*l - 2 - 8 = 0. Let v be 1 + l + 2 + 4. Suppose 0 = -v*t - 1 + 81. What is the least common multiple of 12 and t?
48
Let w = -865/2 + 407. Find the common denominator of w and 113/6.
6
Suppose 18 = 4*m - 2*g, 3*m - 16 = g - 5. What is the smallest common multiple of m and 8?
8
Let l = -3/740 + 29973/740. Let k = 5/191 + 7027/1528. Find the common denominator of k and l.
8
Let n be (4 + -10)*(-3)/(-9). Let h be (-1 - n) + 77628/40. Let v = h - 1938. Find the common denominator of -53/6 and v.
30
Let x(s) = -s**2 - 4*s + 7. Let t be x(-6). Let v be -1 - 3/(-2 - t). Find the common denominator of v + (0 - 35/4) and 67/18.
36
Let z = 36 - 21. What is the smallest common multiple of z and 7?
105
Let t = 123 - 983/8. Let x(c) = -c**2 - 7*c - 10. Let r be x(-8). What is the common denominator of (-4)/18 + (-109)/r and t?
24
Let x = 18 - 8. Let u = -69 - -97. Suppose 5*a - u = -2*i, -5*a = 3*i - 4*i + 14. What is the least common multiple of i and x?
70
Let j(n) = -14*n + 6. What is the least common multiple of j(-1) and 32?
160
What is the common denominator of -33/97 and (((-60)/16)/1)/(18/100)?
582
Calculate the lowest common multiple of 4 and (1 - -83) + 3 + -5.
164
Find the common denominator of 12/(-66) + 129/286 and 7/4.
52
Let y = -86 + 98. What is the lowest common multiple of y and 72?
72
Calculate the common denominator of (3/(-8))/((-3)/110 + 0) and 1/6.
12
Let i be -6*(2 - 0 - 7). Let c be (-1)/(i/9 - 3). Find the common denominator of 4/((-4)/c) - 31 and -73/9.
9
What is the common denominator of 195/45*30/8 and 49/2?
4
Let h(r) = r - 1. Let d be h(-5). Let l(v) = v**3 + 5*v**2 - 6*v + 7. What is the least common multiple of l(d) and 8?
56
Suppose -3*q + 13 = -2*q - 4*p, -10 = 5*p. Suppose -q*f + 18 = -8*f. Let u(l) = -l - 5. Calculate the smallest common multiple of 11 and u(f).
11
What is the common denominator of (-48)/(-90)*(-10)/(-12) and 73/6?
18
Let w = -12 + 18. What is the lowest common multiple of w and (3/(-2))/(12/(-16))?
6
Let k be ((-3)/(-108))/((-696)/(-9)). Let h = -68905/2784 + k. Find the common denominator of 4/(-14) + (-687)/168 and h.
8
Suppose -2*z + 7*z = 70. Calculate the smallest common multiple of 9/(-6)*(-64)/6 and z.
112
Let c = 339483995/18 - 18846871. Let n = 13345 - c. What is the common denominator of n and 1/16?
144
Let i be 42/49*(-14)/(-3). Suppose 30 = i*q - q. What is the lowest common multiple of 8 and q?
40
Let y = 33893/6 + -5635. Calculate the common denominator of -48 and y.
6
Suppose 5*v - 2*z = 49, 0*z = 5*z - 15. Suppose 21*p - 6 = 20*p. Calculate the least common multiple of v and p.
66
Let z(o) = -2*o - 7. Let w be z(-5). Suppose -k + 3*u = 3*k - 55, -3*u - 45 = -w*k. What is the smallest common multiple of 4/2*1*5 and k?
10
Suppose b - 4 = 2*b. What is the common denominator of -1*2/b*-41 and (-27)/2*22/(-121)?
22
Let w(f) be the first derivative of f**3/3 + 2*f**2 + f - 1. What is the lowest common multiple of 16 and w(3)?
176
Let k = 19/25 + -2153/2800. Let h = k + -361/336. Find the common denominator of 89/2 and h.
12
Suppose -5*f - o + 12 = -2, 4*f - 13 = o. Let l be 1/f - (-2)/3. What is the least common multiple of l/((-1)/15*-3) and 4?
20
Find the common denominator of (5/9)/(66/33) and -35/64.
576
Suppose -4*f - 10 = -22. Calculate the common denominator of 3/10 and 201/(-48) - f - -1.
80
Let d(l) = l**3 - 13*l**2 + 11*l + 20. What is the lowest common multiple of d(12) and 26?
104
Let z(n) = -2*n - 4. Calculate the lowest common multiple of (6 - (-6 - -3)) + 2 and z(-3).
22
Suppose -5*p - 110 = 170. Let a = p - -28. Let n = a + 50. What is the lowest common multiple of 22 and n?
22
Suppose 0*l - 3*l - 96 = 0. Find the common denominator of (1/(-10))/(18/705) and (-20)/15*(-278)/l.
12
Suppose 0*v + 45 = -5*v. Calculate the common denominator of -25/8 and 2 + 29/v + -3.
72
Suppose 4*a - 119 = -t + 4*t, 0 = -4*a - 4*t + 84. What is the least common multiple of ((-49)/(-5) - 10/(-50)) + 0 and a?
130
Let k be (-86)/(-18) - (-10)/45. Suppose 4*t = k*t - 7. What is the least common multiple of 11 and t?
77
Calculate the common denominator of -69/32 and 61/3*(-6)/(-8).
32
Let l be 2 + (2 - 1)*3. Let m(z) = z**3 - 3*z**2 - 7*z - 1. What is the lowest common multiple of m(l) and 6?
42
What is the common denominator of (1/14)/(2/(-178)) and ((-3531)/990)/((-2)/(-3)*-1)?
140
Let a = 6 - 2. Let s = 20 + -13. What is the lowest common multiple of s and a?
28
Let p = 1112 + -5593/5. What is the common denominator of (188/54)/((-4)/6) and p?
45
Suppose -4*l + 9 = 5*z - 0*l, -2*z - 2 = -4*l. Calculate the common denominator of -34 + (-2)/(2 + -1) and z - (0 - (-85)/4).
4
Let u(z) = 2*z**3 + 3*z**2 - z - 1. What is the smallest common multiple of u(1) and 15?
15
Suppose -2*w + 1 = -7. Suppose -w*l + 3*a + 35 = 2*a, -5 = -3*l + 5*a. What is the smallest common multiple of l and 12?
60
What is the lowest common multiple of 1*51*(1 + (-2)/6) and 8?
136
Suppose 409 = t - 421. Calculate the common denominator of -26/9 and (t/30)/(8/(-3)).
72
Let f = -1714 + 13611/8. Calculate the common denominator of f and -31/2.
8
Let n = -11999/2034 + 7/678. Find the common denominator of 31/33 and n.
99
Let b(g) = g - 11. Let k be b(8). Let m be 16/(k/(-2) - 1). Calculate the lowest common multiple of 2 and ((-6)/4)/((-6)/m).
8
Let n(m) = 3*m - 1. What is the least common multiple of (-27)/4*24/(-9) and n(5)?
126
Let q = -12 + 20. What is the common denominator of 31/5 and 4/q*232/(-6)?
15
Let o = 12 - 6. What is the lowest common multiple of 2 and o?
6
Let b = 11 + -10. Let j be (0 + b)/((-1)/2). Calculate the lowest common multiple of 3*-2*(j - -1) and 11.
66
Suppose -17 = -3*l + 19. What is the least common multiple of 12/6*l/2 and 6/21 - (-110)/7?
48
Find the common denominator of ((-57)/(-15))/((-32)/(-20)) and 586/(-42) - 4/(-14).
24
Suppose 0 = 4*g - 3*m - 31, 6*g - 2*g - 55 = -5*m. What is the lowest common multiple of 8 and g?
40
Let q be -2 - -5 - (-2)/(-1). Suppose r - q = -3*b, 2*r = 2*b + 4*r + 2. Calculate the lowest common multiple of b and 10.
10
Let q(v) = 49*v**2 + 7*v - 2. Let i be q(7). Let m = 24543/10 - i. Calculate the common denominator of -19/6 and m.
30
Suppose 5*b + 5*h - 6*h - 2399 = 0, 2*h - 2387 = -5*b. Suppose 0 = -5*l - b - 1411. Calculate the common denominator of 1941/l - 2/9 and 25/22.
154
Let z = 8 + -6. Let l = z - -1. Calculate the lowest common multiple of 11 and l.
33
Let o(n) = n - 4. What is the smallest common multiple of 18 and o(16)?
36
Suppose 21 + 9 = 5*c + 5*w, -5*w = -2*c + 40. Suppose -5 = -3*j + 1. Calculate the smallest common multiple of j and c.
10
Suppose -g + 21 + 39 = 5*s, 0 = 4*g. What is the smallest common multiple of 6 and s?
12
Let c = -1139/12 - -257/3. Let q = -3433225 - -823972591/240. Let z = q + -1/15. What is the common denominator of c and z?
16
Let y be 3617/(-3) - 6/(-9). Let m = -9667/8 - y. Calculate the common denominator of 79/6 and m.
24
Let t(m) = -m**3 - 11*m**2 - 9*m + 14. Let p = 10 - 20. Calculate the lowest common multiple of 2 and t(p).
4
Suppose -5*g = -0*g + 5*l - 5, 5*l + 13 = g. Suppose -8 = -5*n + 12. What is the lowest common multiple of n and g?
12
Let b be (3/(-726))/((-14)/12). Let v = b - -75371/3388. What is the common denominator of v and -49/12?
12
Suppose -4*q - 4 = -16. Let x = 8 - 4. What is the smallest common multiple of q and x?
12
What is the smallest common multiple of (6 - 1)/((-4)/(-8)) and 18?
90
What is the smallest common multiple of 5 and (3/2)/(1/2)?
15
Let f(p) = 0 - 3*p + 4*p**2 - 4 - p**2. Suppose 2*y + 4 = 2*s, 3*y - 4*s = -14 + 3. What is the least common multiple of f(y) and 16?
112
Suppose 0 = 2*g + 4*c - 3*c - 33, 0 = g - 4*c + 6. Calculate the least common multiple of 