+ (-20)/9) and (-65)/(-2) + (0 - -1).
6
Find the common denominator of 53/14 and (-1311)/198 - (-15)/3.
462
Let i(j) = 10*j**2 + j + 1. Let r = 64 + -44. Calculate the least common multiple of r and i(-1).
20
Suppose -12 = -4*h, 4*s - h - 2*h + 1 = 0. Calculate the least common multiple of 11 and s*((-10)/4 - -3).
11
Let k = 118607/30 + -3954. Find the common denominator of k and 23/12.
60
Let g = -103/23 + 3125/138. What is the common denominator of g and -2 + 2 - (-33)/4?
12
Suppose -5*f - 20 = -7*f. Calculate the least common multiple of f and 6.
30
Let i = -647/14 + 274/7. Calculate the common denominator of (-9)/147*(-14)/4 and i.
14
Let r(w) = -2*w**3 - 1. Let s be r(-1). Calculate the smallest common multiple of s*-2*(-66)/12 and 4.
44
Let z = 2 + 0. Suppose -4*w + 3*f + 63 = -z*f, -f + 93 = 4*w. Calculate the smallest common multiple of w and 20.
220
Let s = 8926/9 - 996. Let h = -3491247 - -20901565/6. Let a = h - -7676. Calculate the common denominator of s and a.
18
Let z = -18 - -28. What is the smallest common multiple of z and 68?
340
Suppose 0 = 3*p - 19 + 7. Suppose 0 = -p*b + 2*k + 10, 5*k - 26 = -5*b + 3*k. What is the smallest common multiple of b and 4?
4
Suppose -7 - 5 = -4*g. Let w(y) = -3*y - 1. What is the least common multiple of w(-2) and 2 + -5 + g + 4?
20
Let s = 61771/16 - 3858. Calculate the common denominator of s and 1 + (-19)/(-8) + -1.
16
Let n = -1 + 4. Calculate the lowest common multiple of -1 + 4 + -2 + 1 and n.
6
Let k = -1241 - -2579/2. Find the common denominator of ((-159)/12)/((-6)/(-8)) and k.
6
Suppose -12 = -3*v + 30. Let u = 11 + -155. Calculate the common denominator of (v/(-5))/(u/140) and -43/18.
18
Let q = 21 + -19. What is the smallest common multiple of 1 and q?
2
Suppose -84 = -3*i + 5*w - 10, -2*i + 24 = 3*w. Let n(z) = z**3 + 8*z**2 + 10*z + 6. What is the smallest common multiple of n(-6) and i?
18
Let w = -8 + 14. What is the lowest common multiple of (-9)/(2/((-8)/w)) and 10?
30
Let w(g) = g**3 + 6*g**2 + 3*g - 6. Let r be w(-5). Calculate the lowest common multiple of -2 + r*(-2)/(-1) and 6/9*-6*-2.
24
What is the common denominator of (18/(-160))/(26/364) and 19/15?
120
Suppose -l = -5*d - 23, 5*d + 2 = 2*l - 19. What is the smallest common multiple of (6/d)/(9/(-120)) and 18?
144
Let q = 37 + -17. Suppose 7 + 28 = -5*g. Let t = 3 - g. Calculate the smallest common multiple of t and q.
20
Let m = 141198/34507 + -3/3137. Let u = 571/110 - m. What is the common denominator of 1/(-2) - (-14)/40 and u?
20
Let c(o) = -o**2 + 6*o + 9. Calculate the least common multiple of 16 and c(7).
16
Let a = -12 + 14. Suppose 3*x - 2*x = a. Calculate the least common multiple of 2 and x.
2
Calculate the least common multiple of (6*-1)/((-2)/2) and (-48)/(-20) - 3/(-5).
6
Calculate the lowest common multiple of 1*4/(-10)*-10 and (-12)/(1/3 - 1).
36
Let h(l) = -l**3 - 5*l**2 + 7*l + 9. Let x be h(-6). Suppose -o - 5*w + 3 = 6, -x = 3*w. Calculate the lowest common multiple of 2 and o.
2
Let k(j) = -11 - j**2 + 0*j**2 - 13*j + 17*j**2 - j**3 - j**2. Calculate the smallest common multiple of 10 and k(14).
30
Let h(n) = -n**2 - 3*n + 5. Let t be h(-4). Calculate the common denominator of (-1 - t) + 17/11 and (-2)/10*(-505)/2.
22
Let b(m) = 6*m**3 + 13*m**2 - 4*m + 13. Let n be b(-10). Let d = -83503/18 - n. Find the common denominator of -125/18 and d.
18
Suppose 0 = -m - 5*m + 90. Calculate the least common multiple of 6 and m.
30
Suppose -5*d + 40 - 5 = 0. Let z = 17 - 10. Suppose z*c - 3*c - 44 = -4*o, o - 11 = 2*c. What is the least common multiple of o and d?
77
Let b = -141/15763564 - -295869563449/361190541932. Let y = 2/2083 - b. What is the common denominator of y and 49/9?
99
Let m be 668/(-8) + 2/(-4). What is the common denominator of -9*(-5 - (1 + -5)) and 4/(-14) - (-844)/m?
3
Suppose 3*m + 7 = 5*j, -3*m - 2 = -5*m. Suppose -j*z - t = -0 - 27, t = -5*z + 60. Suppose 6*o - o = 55. What is the least common multiple of o and z?
11
Suppose 5*a = -4*r + 6, r - 3*r = 2. Let s be ((-55)/(-3))/(3/9). Suppose -8*q + s = -3*q. Calculate the smallest common multiple of a and q.
22
Let w = -9521/9 + 1059. Calculate the common denominator of w and (77/(-196))/((2/(-40))/(-1)).
63
Let t = 7 + 4. Suppose t = -2*g - 5*z, 7*g = 2*g + 4*z + 55. Suppose -2*v = -4*i + 7 + g, 0 = 5*i - 4*v - 19. What is the least common multiple of i and 7?
21
Let w = -2/745 - 2167/25330. Find the common denominator of w and 59/22.
374
Suppose -28 = -3*u + 26. Calculate the least common multiple of u and (-6)/(-27) + 34/9.
36
Let c(s) = -s**2 - 4. Let t = 3 - -1. Suppose t = 2*m - 4*l, -12 = -m - m - 4*l. Calculate the common denominator of -59/9 and c(m).
9
Find the common denominator of (3/4)/((-153)/(-4726)) and 49/12.
12
Let o = -4 - -5. Suppose o - 17 = -4*n. Suppose 2*r = -4 + 20. What is the smallest common multiple of n and r?
8
Suppose 5*p - 7 = 4*s, -3*p = -5*p + 6. Let w(m) = 0*m**s + 22 + m**3 - 5*m - m**2 + 4*m. What is the lowest common multiple of 2 and w(0)?
22
Let s = -13901/20 - -697. Calculate the common denominator of s and 1/5 - (-1821)/270.
180
Let l = 1532260 + -18375587/12. Let c = 955 - l. Calculate the common denominator of (-15)/14 - 0/(-1) and c.
84
Calculate the least common multiple of (57/76)/((-3)/(-2))*6 and 9.
9
Suppose -20 = -4*c - 4*b, 4*c - 3*c + 1 = -3*b. Calculate the smallest common multiple of 2/(-1) - ((-15)/3 + -17) and c.
40
Suppose 4*s + 2*h = 2, -s - 3*h - 4 = 3. What is the least common multiple of 16 and s?
16
What is the common denominator of 73/10 and ((-4)/(-12))/(16/(-402))?
40
Let f = -1009/1278 - 11/71. What is the common denominator of f and 21/2?
18
Let c = -11997 + 239871/20. Let m(s) = 2*s + 2. Let z be m(-4). Calculate the common denominator of 31/z*(-6)/(-10) and c.
20
Let d = -7 - -11. Suppose s - 9 = 2*t - d*t, 2*s = -2. Calculate the lowest common multiple of t and 4 + (-6)/(3 - 6).
30
Suppose 2*n = -2*n + 64. Let x(i) = -i**3 + 5*i**2 - 3*i + 2. Let b be x(3). Let z = b - -1. Calculate the lowest common multiple of z and n.
48
Let f = -8 + 20. What is the common denominator of 916/(-80) + 9/f and 68/3?
30
Let h = 3 + -10. Let d = h + 15. Suppose 0 = 4*f - 2*i - 46 - 30, 5*f + 5*i - 110 = 0. Calculate the least common multiple of d and f.
40
What is the least common multiple of 10 and (1 - 6) + 0 + 25?
20
Let w = -6 - 0. Find the common denominator of 91/12 and (w/12)/(3/(-67)).
12
Suppose 2*g = -0*g + 16. What is the smallest common multiple of (22/3)/(4/6) and g?
88
Suppose 0 = -5*m + 3*k + 103 - 18, -2*m + 30 = -2*k. What is the lowest common multiple of m and 16?
80
Suppose 7*o + 48 = 4*s + 2*o, -24 = -2*s + 3*o. What is the smallest common multiple of 4 and s?
12
Let x(q) = -5 + 3*q**3 - 4*q**3 + 8*q**2 + 1 + 3*q. What is the smallest common multiple of x(8) and 8?
40
Suppose -r - 4*r - 50 = 0. What is the common denominator of 143*(-1)/(-6) + 1 and 4/r + 506/90?
18
Suppose -13 + 6 = -k. Let c = -3 - -4. Calculate the smallest common multiple of k and c.
7
Let r = -8 + 10. Suppose r*u + 0*u = 8. What is the lowest common multiple of u and 16?
16
Suppose -2*u + 2*l + 2*l = -50, 2*u = -l + 25. Calculate the lowest common multiple of u and 8.
120
Suppose 4*v - 4*x - 24 = 0, 5*v + 2*x = -x - 10. What is the common denominator of 27/20 and 1940/(-8)*v/5?
20
What is the common denominator of (-1362)/(-560) - (-4)/28 and -3/32?
160
Let t(f) = -f - 6. Let k(h) = -2*h - 13. Let c(o) = 3*k(o) - 7*t(o). Let r = 45 + -25. Calculate the smallest common multiple of r and c(5).
40
Suppose 0 = -4*q + 3 + 33. Calculate the smallest common multiple of 15/10*(-20)/(-3) and q.
90
Let k = -451765/107888 - 1/6743. Find the common denominator of 115/18 and k.
144
Let u = 19089/5 - 22933/6. Calculate the common denominator of u and -44/21.
210
Suppose 15 = 3*p - 4*f, 2*p + 8 = 4*p - 2*f. Calculate the common denominator of 131/6 and (p - 138/(-9))/(-1).
6
Let f = 11 - 8. Suppose -12 = f*p - 4*p. Calculate the lowest common multiple of 18 and p.
36
What is the common denominator of -31/10 and (-8)/28 + (-2175)/252?
60
Suppose -5*q = -4*q - 10. Suppose 13 = u + g, u + 5 = -3*g + 26. Calculate the smallest common multiple of u and q.
90
Let n = 766657 - 160231966/209. Let c = n - -11/