0
Let a = -338 + 7421/22. Calculate the common denominator of a and 43/22.
22
Calculate the least common multiple of 12 and (-20)/30*(-29 - 1).
60
What is the common denominator of (-4)/10 - (-1068)/(-30) and -73/8?
8
Suppose 2*g = 4*x - 34, -7*g + 5 = 5*x - 2*g. Let p be ((-3)/2)/((-27)/(-792)). Let j = p - -62. Calculate the least common multiple of j and x.
18
Let k = 9 + -4. Suppose -y - 600 = -k*y. Find the common denominator of (y/(-8))/(-3 + -3) and -125/18.
72
Let g(n) = 3*n**2 + n. Let u be g(1). Suppose u = 3*y - 5. Suppose -5*c + 5*x = -5, 7*c - y*c + 4*x - 20 = 0. What is the lowest common multiple of c and 7?
21
Let k = 28 + -18. Suppose 0 = -x - 0*x + 62. Suppose r - 16 = -2*s + 4*r, -5*r + x = 3*s. Calculate the lowest common multiple of s and k.
70
Let g = -819/2 - -394. Find the common denominator of g and (-634)/(-60) + (-4)/6.
10
Suppose -4*u - 2*j = -11 - 29, -5*u - 4*j + 50 = 0. Suppose 0 = 4*i - 5*t - 55, -2*i + 3*i - 15 = t. Calculate the lowest common multiple of u and i.
20
Let g = -5 + 5. Suppose 3*p - 2*p = -5*d - 3, -4*p + 3*d + 57 = g. What is the smallest common multiple of p and 18?
36
Let s be 8157/165 + 3/12. Let w = -2679/31 - -25339/620. Let h = w + s. What is the common denominator of -89/12 and h?
132
Suppose -2*w + 38 - 10 = -2*y, -5*w = -3*y - 62. What is the least common multiple of 3 and w?
30
Suppose 1827 = v - o, -12 = 3*o - 0. Let b = v - 14681/8. Calculate the common denominator of 12/5 and b.
40
Let o = 2752 + 944. Let v = o - 36841/10. Find the common denominator of 1385/(-180) + 2/(-8) and v.
90
Let k(s) = -2*s**3 + 9*s**2 - s - 8. Let a be k(6). Let x = 2939/24 - 1011/8. What is the common denominator of x and a/(-8)*2/4?
24
Suppose -6*k = 39 + 9. Let s = 14 - k. Calculate the lowest common multiple of 19/2 - (-2)/4 and s.
110
Let f = 43 - 118. What is the common denominator of 9/11 and (-6)/16*f/9?
88
Let g be ((-65349)/(-42))/((-12)/(-63)). Let o be 8177 + (0 - (0 + -2)). Let i = o - g. Find the common denominator of i and -1/10.
40
Let c = -200747429445191657561097211/28867888 - -6954004721273396274. Let o = 4918458/3847 + c. Let n = -1/7504 + o. Find the common denominator of n and -17/8.
8
Let p = -396 - -4051/10. Find the common denominator of p and -77/15.
30
Suppose -3*i - 5*g + 2 = -2*i, 0 = -5*i - 2*g + 56. What is the least common multiple of 18 and i?
36
Let t = 495 + -4015/8. Find the common denominator of t and 39/20.
40
Let l be (-6618)/(-14) - 8/(-28). Let m = l + -5248/11. Calculate the common denominator of m and 73/20.
220
Find the common denominator of 586/(-132) + (-2)/(-3) and -33/10.
110
Let u = 12 + -10. Suppose 3*n = 5*h - 11, u = 3*h - 4*n - 9. Calculate the lowest common multiple of 8 and h.
8
Let n(m) = 209*m + 1. Let x be n(1). Find the common denominator of 89/16 and 1479/x - 2/5.
112
Let f = 1311331/45348 + -3/7558. Let o = 207/4 - f. Calculate the common denominator of 35 and o.
6
Find the common denominator of -59/18 and 313/(-48) + (-3 - -7).
144
Let l = -12277/378 - 4/189. Find the common denominator of l and 43/(-5)*(-25)/70.
14
Suppose 3*c - 5 = 2*n - 2, -11 = 2*n + 5*c. Let j be -3*(2 + n) - -107. Suppose l = -4*l + j. Calculate the lowest common multiple of l and 22.
22
Let o(w) = 2*w - 1. What is the least common multiple of (2 + -5)/3 + (-60)/(-6) and o(5)?
9
Let d = 498079/4350 - 2/2175. Let c = 110 - d. Find the common denominator of c and -76/9.
18
Suppose 2*y + 3*o + 3 = y, -o - 9 = 3*y. Let m(d) = -d - 12. Let j be m(-5). Calculate the smallest common multiple of (-2 - -1)*(y + j) and 8.
40
Let a = -28 + 46. What is the smallest common multiple of a and 6?
18
Let j be 3/(-3 - (-45)/14). Suppose -4*i + 42 = -g - 0*g, 2*g + j = i. Calculate the smallest common multiple of 14 and i.
70
Suppose t + 4 - 6 = 0. Suppose 2*o - s - 36 = -2*o, 3*s = -o - 4. Calculate the lowest common multiple of t and o.
8
Let n = 1/239 - 13627/956. Calculate the common denominator of n and -75/14.
28
Let v(i) = -i**2 - 10*i + 1. Suppose 4*o = 15 + 17. What is the least common multiple of o and v(-7)?
88
Let m be 263/3 + 12/(-18). Calculate the lowest common multiple of m/4 - (-2)/8 and 1 + 1 + -4 - -20.
198
Let p(t) = -t**2 - 2*t + 5. Let g be p(-4). Let b be -1*-2*(-1)/2. Calculate the smallest common multiple of 6 and b/(1*3/g).
6
Let c = 4 - 10. What is the common denominator of (-962)/80 - c/(-10) and -53/7?
56
Let h(b) = b + 11. Let z be h(-9). Suppose -j + z = -m, -4*m = -3*j - 3*m + 12. Suppose -2*v = -j*v + 12. Calculate the lowest common multiple of 10 and v.
20
Let v = -6 + 6. What is the common denominator of (-194)/(-4) + v/(-5) and -1/7?
14
Let b = -666 + 672. What is the lowest common multiple of b and (2 - 2) + -1 + 5?
12
Suppose -3*v - 58 = 11. Let z(q) = 3*q**2 + 5*q - 3. Let w be z(3). Let i = v + w. Calculate the least common multiple of 10 and i.
80
Let g(o) = 2*o**2 - 15*o - 3. Let f be g(7). Let j(h) = 3 + 4 - 7*h**2 + h**3 + 17*h**2. Calculate the lowest common multiple of 5 and j(f).
35
Let k(g) = -12*g - 15. What is the least common multiple of 15 and k(-6)?
285
Let z(o) = o**3 - 4*o**2 + 5*o - 7. Let l be z(5). Suppose -5*x + l = -17. Calculate the least common multiple of 22 and x.
132
Suppose 5142 = u - 2756. Let i = u + -63283/8. Find the common denominator of 47/16 and i.
16
Let f(j) = -5*j - 6. What is the least common multiple of f(-8) and 22?
374
Let w = 1703/11 + -15721/110. Let a = -11439/460 + 465/23. Calculate the common denominator of w and a.
20
Find the common denominator of 0 - 1 - (-249)/24 - -1 and 31/8.
8
Let s = 195697/16404 - 18/1367. Find the common denominator of -17/30 and s.
60
Let v be ((-1)/580)/(8/(-24)). Let l = -8857/2320 + v. What is the common denominator of l and 15/(-72)*232/(-6)?
144
Let u(a) = a**3 - 4*a**2 - 2*a + 3. Let m(p) = p**3 - 14*p**2 - 3*p + 46. What is the lowest common multiple of m(14) and u(5)?
36
Let a(i) = -2*i - 6. Let l be a(-4). Calculate the common denominator of (250/8)/(-5) + l and 151/18.
36
Suppose -2*h = -24 - 12. Let d be ((-9)/2)/((-3)/(-4)). What is the least common multiple of h and (-11)/11 - (d - 1)?
18
Let c(u) = u - 5*u + 2*u - 9. Let t be c(-7). Suppose -4*h + 0*h = t*b - 81, -5*b = 3*h - 67. Calculate the least common multiple of h and 12.
84
Let o = -30 + -3. What is the common denominator of (-12)/(-8)*o/(-63) and 95/4?
28
What is the smallest common multiple of 99/6*8/6 and 32?
352
Let y(m) = 2*m**2 - 9*m - 11. Let k be y(8). Let s = k - -12. Suppose 1 = -4*f + s. What is the smallest common multiple of f and 2?
14
Calculate the common denominator of -17/8 and (-1769)/21402 + 2/(-9).
328
Find the common denominator of (-1230)/(-45)*6/(-16) and -51/2.
4
Let k be 5/((-42)/(-44) + -1). Let w = k - -209. Calculate the least common multiple of 8/(-3)*w/(-12) and 6.
66
Let x = -226385/18 - -12572. Calculate the common denominator of 29/50 and x.
450
Let i = 0 + 0. Suppose i = -2*j + 15 - 57. Let r = -11 - j. Calculate the least common multiple of 16 and r.
80
Let b(u) = u - 7. Let l be b(11). Suppose -3*c + l = -c. What is the lowest common multiple of 2 and c?
2
Suppose -4*w = -l - 29, -w + 4*l = 8 - 4. Calculate the lowest common multiple of w and 13.
104
Suppose 0 = 3*h - 4*t - 34, -5*h = -3*h + t - 41. Suppose -3*s + 9 = -u - h, 0 = -3*s - u + 33. What is the least common multiple of 12 and s?
60
Suppose 3*f - v - 52 = 0, 3*f - 4*v + 48 = 7*f. Suppose d - 6 = f. Calculate the lowest common multiple of 16 and (-2)/(-11) - (-392)/d.
144
Find the common denominator of (138/4)/(-3*(-90)/(-24)) and 41/33.
165
Suppose 20 = 4*s - 0*s. Find the common denominator of -85/12 and (37/s)/((-28)/10).
84
Let h be 416652/448 - (-2)/7. Let o = 931 - h. What is the common denominator of o and -83/22?
176
Let u = 2 + 1. Suppose 5 = u*l - 4*k - 12, -21 = -3*l + 3*k. Let r(o) = -o + 12. Calculate the lowest common multiple of r(l) and 7.
7
Let k = -2 + 20. Calculate the lowest common multiple of 4 and k.
36
Calculate the common denominator of 113/6 + (2 - -1) and 5/2.
6
What is the common denominator of (-5)/(-100)*(-1395)/6 and 29/11?
88
Let a = 72309/10 + -7238. Calculate the common denominator of a and 109/14.
70
Suppose 5*h - 12 = 13. Let y(i) = -i**3 - i**2. Let r be y(1). What is the smal