o. Calculate the common denominator of o/4 - (-2 - -2) and 2/5 + (-103)/(-5).
2
Suppose 3*m - 7*m = 3*v - 14, -2*v + 13 = -m. Suppose 4*z + 44 = 3*d, 4*d + 2*z = z + 46. Calculate the least common multiple of d and v.
12
What is the common denominator of -10/7 and (4 - 100/18) + 1?
63
Let l(v) = -v**2 + 5*v - 1. Let y be l(4). Suppose -3*j + 3 = 0, 2*n - y = 3*j + 16. Calculate the lowest common multiple of n and 2.
22
Let r(s) = -s**3 + 7*s**2 - 5*s + 6. Let c be r(6). Calculate the common denominator of c/(-8)*15/(-1) and -91/12.
12
Let y = 49 + -19. Let p = y + -21. Calculate the smallest common multiple of 19 and p.
171
Calculate the common denominator of (-30)/20 + 2/20 and -57/4.
20
Let j = 43 + -38. Calculate the least common multiple of j and 42.
210
Suppose -4*s - 4*d - 4 = 0, -5*s - 2*d + 2 = -5. Calculate the smallest common multiple of (s/(-6))/(2/(-16)) and 14.
28
Suppose -l - 3*l = -f - 12, 2*l = -f. Calculate the least common multiple of l and 22.
22
Suppose 7*b = 8*b - s - 15, 2*s + 18 = b. What is the smallest common multiple of (-4)/10 + (-24)/(-10) and b?
12
Let y be ((-196)/(-6))/((-2)/(-3)). Let x = y + -35. Calculate the lowest common multiple of x and 10.
70
Let k = -827 - -400. Let z = k + 2121/5. Let q = -2028 + 12199/6. Find the common denominator of z and q.
30
Let a = -4 + 3. Let v = 20 + -14. Calculate the common denominator of a/v*(-75)/(-11) and 89/14.
154
Let x(q) = q**2 - 5*q + 4. Let y be (-15)/6*24/(-10). Let k(c) = 2*c - 9. Calculate the least common multiple of k(6) and x(y).
30
Let f = -21 - -31. What is the smallest common multiple of f and 3?
30
Let v = 10 + 7. Let c = -5 + v. What is the smallest common multiple of 10 and c?
60
Let u = 87 + -57. Calculate the common denominator of 2/6 + (-625)/u and -55/16.
16
What is the common denominator of -11 and (-21)/(-7)*(91/(-18) - -1)?
6
Suppose k - 1 = 3. Calculate the lowest common multiple of 11 and k.
44
Let q be 4/5*(4 + 1). What is the smallest common multiple of 32/(-20)*(-10)/q and 10?
20
Let c = 1062685 + -340059667/320. Let q = 9/64 - c. Calculate the common denominator of 4/11 and q.
55
Suppose n + 3*n - 1 = j, -5 = j - 5*n. Calculate the lowest common multiple of 6 and j.
30
What is the common denominator of 9/(-12)*156/(-90) and -13/8?
40
Let z be (0 + -14)/(4 + -2). Let t = z - -23. Calculate the lowest common multiple of t and ((-4)/(-3))/((-2)/(-3)).
16
Suppose 3*f - 21 = -5*i, -4*i = -0*f + 3*f - 18. Suppose 1 - 49 = -f*q. Let t = q + -2. Calculate the lowest common multiple of t and 16.
176
Let z(p) = p**2 - p - 1. Let o be z(3). Let s be (-18)/o*(1 + -6). What is the common denominator of (-357)/s + 2/(-2) and -137/12?
12
Let r = 0 - -2. Let u(f) = -2*f**2 - 5*f + 7. Let x be u(-6). Let w = x - -55. What is the smallest common multiple of w and r?
20
Let d be (-14)/((-3)/(-1 - -4)). Find the common denominator of 23/2 and 83/d + 4/4.
14
Suppose o + 3*o - 8 = 0. Suppose -o*c + 10 = -3*c. Let k = 17 + c. Calculate the smallest common multiple of k and 1.
7
Suppose 0 = -8*u + 5*u. Suppose -k + 6 = -0*i + 2*i, 4*i + 16 = u. What is the lowest common multiple of k and 14?
14
Let h = -30 - -21. Let c be (-129)/(-27) - 2/h. Calculate the least common multiple of 6 and c/5*(0 - -1).
6
Let y = -120 + 129. Calculate the least common multiple of 9 and y.
9
Let g = 906 - 3549/4. Find the common denominator of g and 73/8.
8
Let d(o) = -o**2 + 2*o. Let b be d(2). Suppose 2*i + 4*y - 3*y - 32 = b, -i = -4*y + 2. Suppose 0*l - i = -l. Calculate the lowest common multiple of 18 and l.
126
Let y(w) = -w - 12. Let q be y(-10). Let p = 3 - q. What is the smallest common multiple of p and 11?
55
Let r(m) = -m**2 - 4*m + 2. Let w be r(-5). Let d = -26 + 46. What is the common denominator of 51/11 and w/(-15) + 286/d?
22
Let i(v) = -v**3 - v**2 + 2*v. Let m be i(-2). Let w be m/(-4) - 0/2. Suppose w = c - 11. What is the lowest common multiple of c and 5?
55
Let n = 3 + -4. Let x = n - -4. What is the least common multiple of x and 5?
15
Suppose 2*b + 2 = 6. Suppose 0 = -i + 6 - b. What is the lowest common multiple of i and 1?
4
Suppose 3*u = -4*n + 70, -2*n - 28 = -4*n + 2*u. Calculate the lowest common multiple of 14 and n.
112
Let c = 4183 - 91987/22. Find the common denominator of 115/6 and c.
66
Suppose -4*x + 1 + 11 = 5*k, 12 = -3*k. Calculate the least common multiple of x and 0 - (-1)/((-1)/(-6)).
24
Suppose -4*x - 1 = 3. Let o be 2 + 4 - (x + 2). Suppose -8 = -4*d, -o*d + 8 = r - 4*d. Calculate the least common multiple of r and 3.
6
Suppose 4*t - 5*p = 3, -2*t - 3*t = -3*p - 7. Calculate the least common multiple of 7 and t.
14
Let a = -7/774 - -19441/10062. Calculate the common denominator of a and -25.
13
Let w = 38/217 - 1/31. Let u = -6 - -9. Find the common denominator of w and (-52)/u + (-3)/2.
42
Let q = 43243/8 - 5395. Let d = -16/21 - -121/168. Find the common denominator of d and q.
24
Let u be (1/2)/((-2)/(-48)). Calculate the lowest common multiple of -16 + 13 + (u - 1) and 5.
40
Suppose -7*x + 12 = -30. Calculate the smallest common multiple of ((-12)/(-10))/(6/20) and x.
12
Suppose -2*b + 7*t = 2*t - 15, -5*b + 105 = t. Let w(q) = -2*q + 6. Suppose 0 = -0*u - 5*u - 25. What is the lowest common multiple of b and w(u)?
80
Let w(u) = u**2 + 92. Let t be w(0). Suppose 5*n - t = 8. Calculate the smallest common multiple of n and (-40)/(-25)*5/2.
20
Suppose 3*h + 1337 = 4*a, -h - 1663 = -5*a - 0*h. Calculate the common denominator of 12/9*(-3)/7 and (-1)/6 - a/(-120).
35
Let n = -5486 - -54817/10. What is the common denominator of 73/2 and n?
10
Let k = 22 - 4. Suppose 0*y + 64 = 8*y. Calculate the smallest common multiple of y and k.
72
Suppose 2*m + 2044 + 552 = 0. Let f = -28547/22 - m. Find the common denominator of 151/30 and f.
330
Suppose 6*f - 10*f = 0. Suppose h - 6*h + 60 = f. Suppose -104 = -4*l + h. What is the common denominator of l and 38/11?
11
Let a = -74 + 77. What is the smallest common multiple of a and 42?
42
Suppose 0 = c + 5*p - 59, 3*c - 2*p - 126 = -0*p. What is the lowest common multiple of c and 20?
220
Let v = -214351/5 + 42643. Let h = 235 + v. Calculate the common denominator of h and -28/11.
55
Let n be (-471931)/90 - (-2)/(-9). Let i = n - -5250. What is the common denominator of -121/10 and i?
10
Find the common denominator of 28/12*(-2)/(-24)*40 and -43/8.
72
What is the common denominator of (3*(-38)/(-15))/(-4) and (-858)/(-8)*(-6)/(-27)?
30
Calculate the common denominator of 64/9 and (-340)/(-50)*(-1)/5.
225
Let l = 1 + 1. Suppose -p + 0*i = 3*i + 13, -4*p = -l*i - 18. Suppose 0 = -6*g + p*g + 4. Calculate the least common multiple of g and 8.
8
Let d be (369/6)/(9/12). Suppose -5*l + d = -18. What is the least common multiple of l and 14?
140
Let j(f) = 3*f + 57. What is the lowest common multiple of j(-15) and 12?
12
Calculate the common denominator of -22 + 1 + 9/6 and -73/6.
6
Let o(h) = 6818*h**2 - 3*h - 4. Let f be o(-2). Let w = f + -1036477/38. What is the common denominator of 87/10 and w?
190
Let d(t) = -t**3 + 5*t**2 - 2*t - 5. Suppose 7*s + 12 = 89. Calculate the least common multiple of d(4) and s.
33
Suppose -5*j - 4*o = -104, 0 = 3*j + 4*o - 44 - 12. Let k be 425727/j*(-4)/9. Let f = 7903 + k. Find the common denominator of f and -143/6.
6
Let l(j) = j**2 - 11*j + 17. Calculate the lowest common multiple of 1 and l(10).
7
Suppose -m + 2*m = 0. Suppose -o + 3 + 0 = m. Suppose -r = s + r + 2, s - o*r = 23. What is the least common multiple of s and 3?
24
Let k = 14 - -8. Calculate the smallest common multiple of k and 18.
198
Let u(j) = j**2 - 9*j + 4. Let p be u(7). What is the common denominator of (8 - 9) + 87/p and -51/10?
10
Suppose 16*g = 11*g + 20. Suppose 14 = 2*b - 6. What is the lowest common multiple of b and g?
20
Suppose n = 745 - 2619. Let c = -16843/9 - n. Let a = -64/19 - -1505/114. What is the common denominator of a and c?
18
Let w be (-1)/(2/(-18)*-3). Let j be w/12 - (-42)/8. Suppose -25 = -j*z - 0*z. What is the least common multiple of 3 and z?
15
Let n(v) = 2*v**2 - 16*v - 10. Calculate the lowest common multiple of 20 and n(9).
40
What is the lowest common multiple of 24 and (-3)/(-2)*40/6?
120
Let w(a) = 2*a**2 - 10*a - 7. What is the lowest common multiple of w(6)