190
Let o = 8 - 13. Let s(c) = c**3 + 5*c**2 - 2*c. What is the lowest common multiple of s(o) and 6?
30
Let k = -1049/2 - -549. Let i = 6 + -3. Find the common denominator of 2/i*27/(-48) and k.
8
Calculate the smallest common multiple of (11 - -9) + 0 + 1 and 15.
105
Let z be (-2)/(-5) - (-362)/(-5). Calculate the common denominator of 23/3 and (-8)/32 + 574/z.
9
Let s be (-7)/2*3885446/(-8). Let l = s + -1705730. Let j = l - -5836. What is the common denominator of -32/3 and j?
24
Let m = -189 + 321/2. Calculate the common denominator of -29/2 and m.
2
Let s(q) = 2*q**2 + 9*q + 5. Calculate the smallest common multiple of s(-5) and 16.
80
Let q = -1327/57 - -75/19. Find the common denominator of q and 59/5.
15
Let s be (1 - -2)*5/3. Suppose 1 - 6 = -s*f. What is the common denominator of (f - -36)/(0 - 6) and 17/16?
48
What is the common denominator of (-327)/18*(-3)/3 and 37/10?
30
Let m = 16 - 11. Suppose 90 = m*l - 4*f, 0 = 3*f - 0*f. What is the least common multiple of l and 4?
36
Suppose z + 19 = 3*q + 3*z, 3*q + 5*z - 34 = 0. Let c = 7 - q. What is the smallest common multiple of c and 10?
20
Let m = -61/43 + 97277/68542. Let n = m + -41453/14346. Calculate the common denominator of 94/(-10) + (-3)/15 and n.
45
Let p(z) = z + 2. Let v be p(5). Suppose v*l - 20 = 6*l. What is the least common multiple of l and 14?
140
Calculate the smallest common multiple of -2*1*55/(-22) and 19.
95
Calculate the common denominator of 78/16*(-20)/(-6) and -151/42.
84
Suppose -2*b + 150 = -5*n - b, -5*b = -2*n - 60. Calculate the common denominator of n/(-10) + 246/(-20) and 63/20.
20
What is the common denominator of ((-39)/(-72))/(5/20) and 89/16?
48
What is the lowest common multiple of (-6)/(-9) + 792/27 and 20?
60
What is the lowest common multiple of 4 and (-4 - 18/3)*-2?
20
What is the common denominator of 2/(-10) + (-676)/(-30) and 15/22?
66
Let i be 6*(2 - (-10)/6). Suppose 2*j + 5*x = 33, j + 1 = 5*x - 20. Suppose i + 2 = j*d. What is the smallest common multiple of d and 10?
30
Suppose 0 = -3*q - 4*c + 44 + 234, 380 = 4*q - 4*c. What is the least common multiple of 7 and q?
658
Calculate the common denominator of (3 - (213/24 + -2)) + -4 and 73/10.
40
Let c = -1/440 - -7063/10120. Calculate the common denominator of c and 101/6.
138
Let q(a) = -2*a - 6. Let k be q(-4). Suppose 0 = 5*t + 10, -3*x = -k*x + 2*t - 5. Let n(h) = -8*h**3 - 1. What is the least common multiple of x and n(-1)?
63
What is the common denominator of ((-6)/4)/((-18)/(-110)) and 91/12?
12
Let y = -2/3 + -1/6. Calculate the common denominator of y and 83/4.
12
Suppose -3*u = -4*t + 10 + 19, -3*u + 27 = 3*t. Suppose t*o - 60 = 3*o. Calculate the smallest common multiple of 240/110 + 4/(-22) and o.
12
Let r(s) = -s**3 - 4*s**2 - s + 3. Let x(w) = w + 5. Let g be x(-8). Let m be r(g). What is the common denominator of 85/4 and (348/11)/4 + m?
44
Suppose -5*q + 4 = -q - 5*o, -o + 8 = -3*q. Let k be 12/(-18)*(1 + q). Calculate the least common multiple of 60/18 + k/3 and 2.
4
Let v = -2 + 8. Calculate the least common multiple of v and 14.
42
What is the smallest common multiple of 27 and 23 + -2 - 3 - 1*-3?
189
What is the common denominator of (1 - -3) + (-168)/(-189) and 1/24?
72
Let o be (1/(-10))/((-4)/3314). Let v = 441/5 - o. Find the common denominator of v and 0 - (78/99)/(4/3).
220
Let n = -1709/585 - -5/234. What is the common denominator of 79/10 and n?
10
Let q(f) = f**2 + 4*f - 3. Suppose 0 = -h - 4*p + 5, -2*p + 3*p = -1. What is the least common multiple of q(-6) and h?
9
What is the smallest common multiple of (-4 - -1) + 1 + 14 and 12?
12
Let q = -193 + 201. Calculate the least common multiple of 48 and q.
48
Let z be (-6 + 3 - -1) + 6. Suppose w + z*w - 15 = 0. What is the lowest common multiple of w and 10?
30
Let o = 42257/18 + -2347. Calculate the common denominator of -53/8 and o.
72
Let r = 10 + -19. Find the common denominator of -26 and ((-69)/r - -3)/1.
3
Suppose -h = 0, -2*h = -o - 4*o + 30. What is the least common multiple of 4 and o?
12
Suppose -8 - 1 = 3*g. What is the common denominator of (g/10)/(72/(-615)) and -1/14?
112
Suppose -2 + 38 = 4*t. Calculate the lowest common multiple of t and 2.
18
Suppose -136 = -4*c + 2*c. What is the lowest common multiple of c and 8?
136
Suppose -w + k - 21 = -72, -141 = -3*w - k. Suppose 3*v = -v + w. What is the lowest common multiple of 9 and v?
36
Let d = -3307 - -16476/5. Calculate the common denominator of d and -31/11.
55
Find the common denominator of 17/8 and 2/(-36)*152*-1.
72
Let o(l) = 9*l**2 - 1. Suppose 5*y = -0*y - 3*m + 21, 3 = 3*y + 5*m. Suppose -y = 2*n - 14. What is the smallest common multiple of n and o(-1)?
8
Let k = -1193/600 - -182/25. What is the common denominator of 19/18 and k?
72
Suppose 3*d - 178 = -2*x, 4*x + 4*d = -238 + 598. Calculate the lowest common multiple of x and 18.
828
Let d = 34 + -30. Let z(r) = -9*r + 4. Let k be z(-4). Calculate the common denominator of 107/20 and (-162)/k - d/10.
20
Let g be (-103 - 3)*183/36. Let z = g + 541. Calculate the common denominator of -46/7 and z.
42
Calculate the lowest common multiple of (-1 - 77)/(-2 - 0) and 18.
234
Let p = 32 + -5. Calculate the lowest common multiple of p and 30.
270
Suppose c = 2*c. Suppose -4*v = 5*s - 86 + 14, c = -2*s + 4*v + 40. Let i = -25 + 37. Calculate the least common multiple of i and s.
48
Suppose 5*w - 3*w = 8. Suppose -25 = -9*f + 29. Calculate the smallest common multiple of w and f.
12
Let i(g) = g**3 - 2*g**2 - g + 4. What is the least common multiple of 20 and i(3)?
20
Let r(c) = c**2 - c - 2. Let t = -28 - -31. Calculate the least common multiple of r(4) and t.
30
Suppose -5*k + 2*k = -6. Calculate the lowest common multiple of 4 and k.
4
Let g(b) = -b**2 - 8*b - 8. Calculate the lowest common multiple of 10 and g(-6).
20
Let w be (-4)/24*(-55398)/(-20). Let p = w - -463. Find the common denominator of (31/32)/((-1)/6) and p.
80
Find the common denominator of (-18)/4*(-92)/12 and -62/3.
6
Let n be (2 - 18)*(-20)/16. Suppose 2*a + 8 = n. Calculate the least common multiple of a and 18.
18
Let p(x) = -x**2 - 7*x + 5. Let v be p(-7). Suppose 10 = v*r, -10 = -3*c - 2*r + 30. What is the smallest common multiple of 8 and c?
24
Let n = -7/3 + 82/9. Find the common denominator of 79/15 and n.
45
Suppose 55 = -0*n + 4*n - 3*x, 0 = 3*n + x - 51. What is the smallest common multiple of 34 and n?
272
Let b = -29 - -33. What is the lowest common multiple of b and 19?
76
Suppose -z = 5*n - 0*n - 216, 2*n + 5*z = 68. Let f = n + -28. Calculate the smallest common multiple of f and (-4)/6 + 32/3.
80
Suppose -11 = -4*p + 3*m, -m + 0 = -4*p + 9. What is the smallest common multiple of p and 5?
10
Calculate the common denominator of 79/18 and (-28)/(-21)*(1 - (-24)/(-7)).
126
Let y be 1/(-3)*30/(-2). Suppose 0 = -l - y*i - 5, l - 2*i - 19 = i. Let w(s) = 2*s**2 + 3*s - 3. What is the least common multiple of w(-3) and l?
30
Let y = -182 - -251. Calculate the smallest common multiple of 6 and y.
138
Let w = -17289/16 - -1083. Find the common denominator of w and 5/22.
176
Let x(i) = i + 10. Let t be x(-7). Suppose 0*z - 4*n - 10 = -z, 48 = 3*z - t*n. Suppose -4*m + 66 - z = 0. What is the smallest common multiple of m and 14?
84
Calculate the common denominator of -85/12 and 159/4*14/210.
60
Suppose 7*g = 8*g - 42. Calculate the smallest common multiple of 2 and g.
42
Suppose -3*j + 4*l - 14 = 0, -5*j - 3*l + 5 = -20. Suppose 14 = j*t - t. Calculate the least common multiple of t and 16.
112
Let i(c) = -c - 11. Let m be i(-8). Let d be m/12 + 63/12. Suppose -f - d*z - 20 = -5*f, 4 = 2*f - 4*z. Calculate the least common multiple of 8 and f.
40
Let p = -2296 - -13715/6. Suppose 0 = -r - 0*r - 1515. Find the common denominator of p and ((-6)/(-15))/(132/r).
66
Let a(b) = 30*b**2 - b + 1. Let g be a(1). Let h = -14 + g. Calculate the smallest common multiple of 4 and h.
16
Let p = 25/136 - 2327/12104. Let z = -17619/356 + p. What is the common denominator of -47/10 and z?
10
Suppose -n + 77 = 5*w - 0*n, 0 = 2*w + n - 29. Let y be 3*(6/(-9) - 0). What is the smallest common multiple of 8/y*30/(-12) and w?
80
Let b = 1011 - 1941/2. Suppose 0 = -2*t + l + 221, -47 - 53 = -t - 3*l. Find the common denominator of