and y?
16
Let c(d) = -d**2 + 2*d - 1. Let m be c(7). Let w be (-14)/18 + 8/m. Calculate the common denominator of w - (20/(-14) - 2) and 43/8.
56
Suppose 28 - 10 = 2*z. What is the smallest common multiple of z and 2/(-8) - 68/(-16)?
36
Let h = -191987/16 - -11995. Calculate the common denominator of (-237)/12*1/(-4) and h.
16
Suppose 5*g = -5*h + 41 + 4, 4*g - 26 = -2*h. Calculate the common denominator of h/(-2)*33/(-25) and 25/8.
40
Suppose 3*w - 8 = 22. Suppose -3 = -s + 13. Calculate the least common multiple of w and s.
80
Let n(d) = -d**2 - 6*d + 1. Let f be n(-6). Let o = 16955/8 - 2128. Calculate the common denominator of ((-3)/12)/(f/98) and o.
8
Calculate the least common multiple of 6 and 9/(-2)*460/(-69).
30
Suppose -195 = -0*i - 5*i. Let f = -17 + i. Calculate the lowest common multiple of 12 and f.
132
Let n(i) = i**2 - 15*i + 15. Let p(g) = 4*g**2 - g. Let d be p(2). What is the lowest common multiple of n(d) and 11?
11
Suppose 2*j = -3*f + 24, -4*f - 3 = 13. Calculate the least common multiple of j and 18.
18
Let h = -295 + 445. What is the lowest common multiple of (2/(-5))/((-3)/h) and 4?
20
Let r = 9580 + -153217/16. What is the common denominator of r and 1/3 + ((-782)/24)/(-17)?
16
Let i = 191/9 + -2605/99. What is the common denominator of i and 57/7?
77
Let j be 790473/89928 - 2/3. Let m = j + 2/1249. What is the common denominator of 35/(-9) - (7 - 7) and m?
72
Suppose -8*d - 176 = -19*d. Calculate the lowest common multiple of d and 16.
16
Suppose 5*n + 4792 = -r, 4*r + 305 = n + 1276. Let y = -9899/30 - -154271/120. Let z = n + y. Calculate the common denominator of z and 43/7.
56
Let y(f) = -f + 9. What is the smallest common multiple of y(7) and 12?
12
Let l(s) = -s**3 + 10*s**2 - 15*s + 5. What is the lowest common multiple of l(8) and 4?
52
Let o = 18 + -4. Let d = -57 - -75. What is the least common multiple of o and d?
126
Suppose 0 = p - 4*p + 6. Suppose l - q = -5*q - 3, -4*q - 8 = -4*l. Calculate the smallest common multiple of p and l.
2
Let i = -3477/4 - -848. Let t = -282/7 + 739/14. What is the common denominator of i and t?
4
Suppose m - w = -0*w + 19, -2*m = -3*w - 35. What is the lowest common multiple of 4 and m?
44
Let q = -7196/45 + 824/5. Let l be 7*((-42)/76)/7. Let w = -419/342 + l. Find the common denominator of w and q.
9
Suppose d + 4*d - 3*a = 24, 36 = 5*d + 3*a. What is the lowest common multiple of d and 12?
12
Let q = 18 + -9. Calculate the least common multiple of 3 and q.
9
Let h = -2170 - -69367/32. What is the common denominator of h and 1/16?
32
Let i be (-1802)/(-14) + 2/(-2). Let u = i + -128. Find the common denominator of 29/11 and u.
77
Suppose -4*x + 2*x + 4*r = -32, 5*x - 3*r - 45 = 0. Suppose -2*q = -0*q - x. Suppose -33 = -5*g - q. Calculate the least common multiple of 12 and g.
12
Let d = -6 + -16. Let k be 88680/d*6/15. Let q = -1615 - k. Find the common denominator of 64/3 and q.
33
Let v be ((-8)/3)/(12/(-18)). Suppose -2*z + 3*s = 7*s - 56, -z = v*s - 34. What is the least common multiple of 4 and z?
44
Let v(d) = -d**2 - 3*d - 2. Let x be v(-6). Find the common denominator of ((-106)/x)/((-6)/6) and -69/4.
20
Let p = -42849343/10 + 4280810. Let w = p - -4114. Let n = 169/396 + 1/36. Find the common denominator of w and n.
110
Let s = 623835/4 - 153473. Let c = -2472 + s. Find the common denominator of c and -21/10.
20
Let b = 18 - 15. Let u = 2 + -1. What is the smallest common multiple of b and u?
3
Let m be (10741324/(-72))/11 + 0. Let f = -13570 - m. Calculate the common denominator of f and 117/14.
126
Suppose 3*r + r = 20. Suppose -3*j + 12 = -0*j. Suppose 2*y - 4*m - 88 = -2*y, j*y - 52 = -r*m. What is the smallest common multiple of 18 and y?
18
Suppose -7 = -3*d + 8. Suppose 2*m + 0*i - 3*i = -14, -4*m + 4 = 2*i. What is the lowest common multiple of (3 + d)/(m/(-1)) and 18?
72
Let y = 21415/8 - 2682. Calculate the common denominator of 1 - (1 - (-218)/(-44)) and y.
88
Let f(n) = -n + 7. Calculate the lowest common multiple of 16 and f(-15).
176
Let i(s) = 5*s - 4. Suppose 3*a - 1 = 8. Calculate the lowest common multiple of 4 and i(a).
44
Let f = -214/3 + 4759/66. What is the common denominator of f and 97/92?
1012
Let o(n) = -n**2. Let f(q) = -5*q - 4. Let a(d) = -f(d) - 3*o(d). Let p be a(-4). Calculate the common denominator of (332/p)/(-1 - 0) and -5/9.
72
Calculate the common denominator of 47/10 and ((-292)/(-16) - 2) + -2.
20
Suppose -10 = 2*o - n, 2*o - 3*o = -5*n + 5. What is the lowest common multiple of (o - 0/1)*-1 and 9?
45
Calculate the smallest common multiple of 3 and -60*((-18)/(-24))/(-3).
15
Suppose -5*d - 18301 = -3201. Let q = d - -18029/6. What is the common denominator of q and -17/6?
6
Let q = -4 - 6. What is the common denominator of q/32 + 1 + 1 and -13/14?
112
Suppose 22*u - 26*u = -80. Let n(m) = -m. Let t be n(-3). Suppose -2*x + 30 = t*x. Calculate the lowest common multiple of x and u.
60
Let d = -642 - -3829/6. Find the common denominator of d and -13/18.
18
Calculate the lowest common multiple of 32 and (-6)/(-21) - (-1250)/35.
288
Let u = -38454/23 - -1670. Let t = 18063429/920 + -196487/10. Let x = t - u. What is the common denominator of -117/10 and x?
40
Let a = -197/361 + -10523/46208. Find the common denominator of a and 75/8.
128
Let q(i) = -i**2 - 8*i - 7. What is the smallest common multiple of 1 and q(-6)?
5
Suppose 4*q - 17 = 55. What is the smallest common multiple of 10 and q?
90
Let o(q) = q - 5 + 0*q**2 - q**3 + q**2 - 3*q - 5*q**2. Let n = 28 + -17. What is the smallest common multiple of o(-4) and n?
33
Let b = 6791/636 + -164/53. Find the common denominator of b and 109/10.
60
What is the common denominator of 115/18 and 4/(-5)*51/(-72)?
90
Suppose -2*p - 4 = -20. Suppose -t - 28 = i, 2*t + i + p + 43 = 0. Find the common denominator of -73/3 and t.
3
Suppose 0 = -o + 3, -5*o - 4 = t - 3. What is the least common multiple of 4/(-14) - t/7 and 4?
4
Let g be 1/6 + 57/(-18). Calculate the least common multiple of -5*((-63)/(-15))/g and 4.
28
Calculate the least common multiple of (2 - -1)/((-6)/(-16)) and (-4)/(-12)*21 + -1.
24
Let k = -56391/8 + 7039. Let g be (-85056)/(-382995) - 4/18. Let b = 1773089/255330 - g. Find the common denominator of b and k.
72
Let f = 31 + -27. What is the smallest common multiple of f and 6?
12
Let x = -18965/2 - -10046. Let t = 612 - x. What is the common denominator of -59/2 and t?
2
Let i be (0 - (-68)/184) + 0. Let p = 3/23 + i. Find the common denominator of p and 145/6.
6
Suppose -4*y = 10*y - 168. Calculate the least common multiple of y and 2.
12
Let m(v) = -v**3 - 12*v**2 - 13*v - 5. Let d be m(-11). Find the common denominator of -97/2 and (d/(-5))/(44/10).
22
Let y be 6/(-9) + 2378/(-3). Let x be 19610/48*-2 + 3. Let h = y - x. What is the common denominator of h and 61/10?
20
Suppose 0 = 3*f + 3*b - 48, 0*f - 3*f + 48 = -5*b. Let g(q) = q**3 - 5*q**2 + q + 5. Calculate the least common multiple of g(5) and f.
80
Suppose -372*p - 48 = -374*p. What is the smallest common multiple of p and 20?
120
Suppose -5*n - 35 = -5*w, 2*w = -2*w - n + 3. Let k be -4*(27/6)/(-1). Let g = -10 + k. What is the least common multiple of w and g?
8
Let x(h) = -2*h + 17. Let c be x(0). What is the common denominator of 49/18 and (14/4)/((-10)/c)?
180
Suppose -4*c + 24 = -4*h, -3*c = -4*c - 3*h + 22. Suppose 4*p + c = 6*p. Calculate the least common multiple of p and 8.
40
Let x = 36925/8 - 4627. Find the common denominator of -49/78 and x.
312
Let b = 90/41 - 4359/2378. What is the common denominator of b and -75/14?
406
Let q(r) = 5*r**2 - 4*r + 2. Let w = 27 - 25. Calculate the smallest common multiple of 28 and q(w).
28
Let b = 4879 + -3271. Let s = -3301/2 + b. Find the common denominator of -101/18 and s.
18
Let x(i) = -i - 1. Let s = 0 - -3. Let v be x(s). What is the least common multiple of 3 and ((-9)/6)/(1/v)?
6
What is the common denominator of -79/8 and 245/15 + (-3)/6?
24
Let d = -169 + 173. What is the least common multiple of 10 and d?
20
Let t(i) = 15*i**2 - i - 2. Let r be t(-2). Let w = -7 - 0. What is the common denominator of 43/11 and (r/63)/(3/w)?
99
Let r = 4469/126 - 578/21. Calculate the common denominator of -99/94 and r.
846
Let m = -21810 + 523345/24. What i