(-6)/(-4))/(9/12). Calculate the common denominator of -1*z - 555/(-70) and 13/16.
112
Suppose 0 = 5*h - 4*m - 8 - 37, -4*h + 42 = -2*m. Let y = -5 + h. Calculate the common denominator of 53/5 and ((-46)/3)/(y/(-4)).
15
Suppose 5*z - 2 = -3*n + z, -12 = -4*n - 3*z. What is the least common multiple of n and 4?
12
Suppose 36 = 5*r + i, 14 - 6 = -2*i. Let o(s) = -5*s**2 - s + r*s**2 + 4*s. What is the lowest common multiple of o(-2) and 2?
6
Suppose -12 = 5*b - 37. Suppose -2 + 27 = b*w. Suppose -5*o - h - w = -15, 0 = -3*o + 4*h + 29. What is the lowest common multiple of o and 6?
6
Calculate the common denominator of (85/(-8))/(-1) - 1 and ((-602)/21)/(4/(-3)).
8
Suppose 4*x + 4 = -5*a + 52, 3*a + 5*x = 34. Calculate the lowest common multiple of 34 and a.
136
Let j = 1661/2 + -809. Find the common denominator of -119/6 and j.
6
Suppose 3*h + 415 + 521 = 0. Let g = h + 555/2. Calculate the common denominator of g and 59/2.
2
Let i(o) = -o**2 + 7*o + 16. What is the lowest common multiple of 22 and i(8)?
88
Let v(f) = -f**2 + 11*f - 8. Calculate the least common multiple of v(6) and 10.
110
Suppose 26*k - 192 = 10*k. Suppose 22 = -4*d - 22. Let r = 15 + d. Calculate the least common multiple of k and r.
12
Suppose 5*w - 2*c + 5 = 0, 3*w = -2*w + 5*c - 20. Let i = w + 4. Calculate the smallest common multiple of 11 and i.
55
Calculate the common denominator of (-30)/(-14) - (-5 - -2) and 119/6.
42
Let s = -3153/4 + 774. Calculate the common denominator of s and -119/10.
20
Find the common denominator of 2 + 2 - 1 - (-178)/(-56) and 15/4.
28
Find the common denominator of 172/28 + 4/(-14) and 6/10*122/(-6).
35
Let n = -566 + 2245/4. Find the common denominator of n and (-51)/44 - (-4)/(-16).
44
Let t(k) = k**2 + 7*k + 8. Let u be t(-6). Let w be 8/3*12 - u. Suppose -2*i = i - w. What is the least common multiple of 8 and i?
40
Let p = -98789/18 - -5493. Let i(w) = -7*w - 2. Let f be i(-2). Find the common denominator of (2 - -32)/(f/(-5)) and p.
18
Let p = 34 - 27. Calculate the lowest common multiple of 17 and p.
119
Let k = 3 - 0. Suppose k - 13 = -2*s. Suppose -4*r + 56 = -4*d, -2*r - 6 = -r + 3*d. Calculate the smallest common multiple of r and s.
45
Let w(u) = -u**2 - 12*u - 14. Calculate the least common multiple of 114 and w(-4).
342
Suppose 0 = -5*m + 4*c, 3*c + 21 = -m + 8*c. Suppose -b = -m - 16. Calculate the smallest common multiple of b and 6.
60
Let v = -21 - -16. Find the common denominator of (-261)/(-3)*v/50 and 46/(-24) - 0/(-1).
60
Let h(r) = -4*r + 9. Let d(b) = b**2 + 3*b - 4. Let z be d(-5). Let i be h(z). What is the smallest common multiple of 8 and (-20)/i*3*2?
8
Let l = 4157/2 + -2122. What is the common denominator of l and 117/20?
20
Let z(n) = 2*n**3 + n**2 + 3*n - 2. Let i be z(2). Suppose -h + 5*h = i. What is the smallest common multiple of 1/(-1*1/(-4)) and h?
12
Let k = 52 - 49. Calculate the lowest common multiple of k and 2.
6
Let v = 39 - 23. Calculate the lowest common multiple of 16 and v.
16
Let b = 18 + -3. Suppose b = -o - 5*g, 3*o - 5*g + g - 50 = 0. What is the smallest common multiple of o and 5?
10
Let t = 3659/510 + 32/255. What is the common denominator of t and (-2)/12*372/(-16)?
40
What is the lowest common multiple of 8 and -30*(1 - (-21)/(-15))?
24
Let x = 5799 + -57909/10. Let s be 2/4*(-24)/6. Find the common denominator of ((-61)/(-12))/(3/s) and x.
90
Let u = 353 + -121. Suppose 5*x - 350 = 3*d, u = 2*d - 4*d + 3*x. Find the common denominator of (106/d)/((-6)/15) and 71/22.
22
Let j be (-2)/4 - 131/2. Calculate the common denominator of (3/(-4))/((-4)/j) and (6/(-88))/((-21)/(-1162)).
88
Suppose -n - 3*a = -6*a, 0 = -3*n + 2*a + 7. Let v(d) = d - 1. What is the least common multiple of v(11) and n?
30
Suppose 2*m + 603 = 5*m. Calculate the common denominator of -2*m/(-48) - 0 and -113/20.
40
Suppose 3*i - 16 = -1. Suppose -4 = -3*a - i*h, 2*a - h = 3*h + 32. Calculate the smallest common multiple of 8 and a.
8
Let b be ((-24)/(-255))/(8/8580). Let a = -10059/85 + b. Let w = a + -43/30. Calculate the common denominator of -38/9 and w.
18
Let t(v) = 2*v**3 + 2*v**2 - 2*v + 1. Let f be t(1). Suppose 8 = f*n + 2*a - 20, -28 = -2*n + a. Calculate the smallest common multiple of 2 and n.
12
Let n = -6 + 4. Let f be (23 + -1)*(-1)/n. Suppose -2*l + f = -9. What is the least common multiple of 6 and l?
30
Let v = 2597 + -5289/2. What is the common denominator of -5/22 and v?
22
Let y(d) = -d**3 - d**2 - d + 3. Let n be y(0). Suppose 2*j = -j - n. Calculate the smallest common multiple of (-1)/j + (-2 - -11) and 1.
10
Let z(r) = 5*r + 11. Let p be z(5). Find the common denominator of 7/20 and (3 - 1) + (-351)/p.
20
Let j be (1 - -5)*2/(-3). Let i be (-32)/24*18/j. Suppose -k + i - 1 = 0. What is the least common multiple of k and 11?
55
Let a be (5 + -6)/((-1)/2). Suppose -4*v + 2 = a*w - 2*v, 2*w + 3 = -3*v. Calculate the smallest common multiple of ((-8)/(-10))/((-2)/(-30)) and w.
12
Suppose -10*h = -0*h - 290. What is the smallest common multiple of 6 and h?
174
Suppose -4*a = -k - 28743, -2*a = 2*k - 1382 - 13002. Let n be (a/(-20))/((-4)/(-4)). Let m = -1477/4 - n. Find the common denominator of m and -101/6.
30
Calculate the smallest common multiple of 8 and (-2 - -3)*(3 + 0 + 1).
8
Let p be (-42)/(-18) + (-1)/3. Suppose k = -2*m - 15 - 31, -p*k = 3*m + 87. What is the common denominator of -5/9 and (0 - 2/k)*58?
9
Suppose 10 = -3*r + 25. What is the smallest common multiple of r and -1*(2 + -5) - -2?
5
Let r = 1476896875/413402 - -51/37582. Let s = r - 3576. What is the common denominator of (-1)/11*1*43 and s?
11
Suppose -21 = -2*u - 2*w + 23, 4*w = -16. What is the smallest common multiple of u and 18?
234
Let p(i) = -8*i + 2. Calculate the smallest common multiple of 18 and p(-2).
18
Let m(n) = -3*n**3 - 5*n**2 - 10*n + 5. Let f be m(10). Let u = f + 28795/8. Calculate the common denominator of (-6)/9 - (-94)/(-4) and u.
24
Let q = 511/9 + -3251/72. Let h = -666 + 1307/2. Find the common denominator of q and h.
8
Let t = 639 - 2537/4. Let h = t + 163/4. Find the common denominator of 34/9 and h.
18
Let n(f) = -f**3 + 1. What is the least common multiple of 27 and n(-1)?
54
Suppose 0*n - n + 29 = 0. Let s = n + -9. Calculate the lowest common multiple of 18 and s.
180
Let w = 30/23 - 399/253. What is the common denominator of w and -59/8?
88
Let p = 9166/5 + -402979/220. Calculate the common denominator of 19/18 and p.
396
Suppose 4*y - 5*y + 12 = 0. Let k = 1 + 3. Suppose k*x + 50 = 3*f, -5*f + x = -x - 74. Calculate the least common multiple of f and y.
84
Let c(y) = 2*y**2 + 5*y + 6. Calculate the lowest common multiple of c(-4) and 12.
36
Suppose -2*p - 3*p + 25 = 0. Calculate the least common multiple of 8 and p*(1 + (-33)/(-15)).
16
Suppose 0 = -4*u - 5*k + 66, 4*k - 16 = 4*u - 64. Let j = u + -13. Calculate the least common multiple of 8 and j.
8
Suppose -24 = 2*x + 5*v, 5*x - 2*v - 3*v = 10. Find the common denominator of (-218)/36 - x/(-3) and ((-584)/(-24))/(4/(-3)).
36
Let f = 17 - 5. Suppose -3*m + 24 = 2*s, -16*m + 37 = -12*m + s. What is the smallest common multiple of m and f?
60
Let s(k) = -16*k**2 - 7*k + 1. Let y be s(6). Let r = y - -13553/22. Calculate the common denominator of r and 77/2.
22
Let q = 1 - -3. Suppose 0 = -q*v + 8 - 0, -v - 46 = -3*p. What is the least common multiple of (-180)/(-8) + 1/(-2) and p?
176
Let a = 431 - 4333/10. Suppose 2*q + 39 = -2*p + 5*q, 4*q + 108 = -4*p. Find the common denominator of a and -2*(2 + 302/p).
30
Suppose 13 = 4*k - 5*d, 4*d - 3*d + 1 = 0. Let q = -29 + 47. What is the smallest common multiple of (-1)/1 - (k + -13) and q?
90
Let t = 53/81 - 81403/162. Let l be (-1)/(-4) - (-10055)/20. Let i = l + t. Calculate the common denominator of 10 and i.
6
What is the least common multiple of 4/12 + 205/15 and 22?
154
Suppose 0 = 4*r - h - 19, -3*h + 1 = -2. Calculate the least common multiple of 25 and r.
25
Suppose 4*l - 69 = -5*p, -4*l - p = -l - 38. Calculate the lowest common multiple of 6 and l.
66
What is the lowest common multiple of 1*6 + -3 + 1 and 2?
4
Let u be (9/6)/((-12)/(-8)). Calculate the common denominator of u - (-2 + (-50)/(-4)) and -71/14.
14
Let z = 8/37 - -71/185. Find the common denominator of 21/4 and z.
