.
36
What is the common denominator of -7*(-1 - (-12)/(-16)) and -27/11?
44
Let w = 1177/4 + -278. Calculate the common denominator of 19/16 and w.
16
Suppose -4*f - b + 9 = 0, -5*b - 2 - 10 = f. Suppose 2*h - 6*h = -f*w + 16, 4*w - 38 = -3*h. Calculate the smallest common multiple of w and 12.
24
Let f be (-6)/(-15)*5 - -1. Let b = 11 + -9. What is the common denominator of 98/16 - f/b and 42/5?
40
Let a = 4058/207 - 318/23. Find the common denominator of a and -41/8.
72
Let a = 1696 - 37325/22. Calculate the common denominator of a and -57/4.
44
Let l(u) = -11*u**3 - 2*u**2 - u. Let j be l(-2). Let c(d) = -5*d**2 - 2*d - 1. Let y be c(-1). Calculate the common denominator of (j/(-4))/((-22)/y) and 15/4.
44
Let b = -103989 + 8734969/84. Find the common denominator of -89/20 and b.
420
Suppose -2*q + 2*p = -4*q, 0 = -5*q + 3*p + 16. Calculate the common denominator of (q - -1) + 59/(-10) and -41/18.
90
Suppose j + 16 = 4*g, -4*g + g + 3 = -3*j. Calculate the lowest common multiple of j and 10.
20
Let z = -18292 - -329383/18. Find the common denominator of z and 29/14.
126
Let v be 1/(-3) - (-6068)/(-1155). Let c = -7/55 + v. Calculate the common denominator of 23 and c.
7
Let a(r) = -r**3 - 3*r**2 + r + 7. Let c be a(-3). Calculate the common denominator of (46/(-6))/((-2)/(-3)) and c/(-2) + (-110)/8.
4
Let x = -23628 - -519715/22. What is the common denominator of 76/3 and x?
66
Suppose 2*h = -5*j + 76, 5*h + 27 = 3*j - 0. What is the lowest common multiple of 22 and j?
154
Let s = -4210/3 - -1390. What is the common denominator of -37/9 and s?
9
Let q = -4 - -9. Let x = -60 - -69. Calculate the smallest common multiple of x and q.
45
Suppose 16 = -8*f - 0*f. Let r = f + 6. Suppose -6 + 38 = 2*k + w, 0 = 3*k - 4*w - 26. What is the least common multiple of r and k?
28
Suppose 0 = 5*v - 48 - 42. What is the least common multiple of 10 and v?
90
Let w be -4 + 4 - 3*-1. Suppose u - 14 = 2*l, -w*u + 5*l + 26 = -u. Calculate the smallest common multiple of u and 2.
18
What is the common denominator of 1 + (-318)/(-468) + 3/(-6) and 64/27?
351
Let h(v) = 2*v + 6*v**2 + 6*v**2 - 2*v. Calculate the least common multiple of 8 and h(1).
24
Let l be 17/2 - (-16)/32. What is the common denominator of -137/12 and 1062/(-264)*(-6)/l?
132
Let t = -365565/1969 - -2043/11. Let y = t + 23305/2148. What is the common denominator of y and -21/10?
60
Suppose -4*t + 2*i + 24 = -0*t, t + 3*i = 20. What is the least common multiple of t and 50?
200
Suppose 0 = 5*f - 4*g - 80, -f = 4*g - 23 + 7. Calculate the smallest common multiple of f and 8.
16
Let v = -273/8 + 111/4. Let w = 11614/1245 - -2/415. Find the common denominator of v and w.
24
Suppose f = -z + 10, -2*z - 12 = -5*z. Let c = f + -3. Suppose c*g - 6*g + 30 = 0. Calculate the lowest common multiple of g and 12.
60
Let g = -209/2 - -102. Find the common denominator of -5/8 and g.
8
Suppose -p - 8 = -12. What is the smallest common multiple of 3 and p?
12
Suppose 28*z - 25*z - 96 = 0. What is the smallest common multiple of z and 16?
32
Suppose 29 + 37 = 3*m. Calculate the least common multiple of m and 2.
22
Let k = 10083/10 + -1007. What is the common denominator of 207/6 + 3/(-1) and k?
10
Suppose -2*p - 35 = -4*z - 3*p, -z - 4*p - 10 = 0. Suppose 6*h - z = 4*h. Let v(x) = 3*x - 6. Calculate the lowest common multiple of v(h) and 1.
9
Let b = 58 - 24. Suppose -3*q + 0*q - 2*c + b = 0, 0 = -3*q - c + 35. What is the smallest common multiple of q and 22?
132
Suppose -2 = 2*c - 6. Suppose 5*o = c*o + 66. Calculate the smallest common multiple of o and (140/5)/(-7)*-2.
88
Let v = 461 - 1366/3. Calculate the common denominator of (-147)/5 + (-6)/(-15) and v.
3
Suppose 2*f + 3*f + 10 = 0, 0 = z - 2*f - 7. Suppose -43 = h + r, 0*r + 63 = -h + z*r. Find the common denominator of h and 2/(32/(-142))*-2.
4
Let a(r) = -r**2 - 4*r - 3. Let m be a(-4). Let t = 5 + m. Calculate the least common multiple of 18 and t.
18
Let s(l) be the third derivative of -5/24*l**4 + 0*l - 1/10*l**5 + 0 + 1/120*l**6 + 2*l**2 - 5/3*l**3. What is the lowest common multiple of 11 and s(7)?
44
Let z(y) = -5*y**3 + y**2 + 2*y + 1. Let n be z(-1). Suppose 8 = -x + n*x. What is the lowest common multiple of x and 12?
12
Let k = 41 + -25. What is the smallest common multiple of 14 and k?
112
Let w = -7287/10 + 3597/5. What is the common denominator of 9/22 and w?
110
What is the smallest common multiple of 10 and 6*9/6 - -2?
110
Suppose -12 = -2*w + w. Let p = 71 + -63. What is the least common multiple of w and p?
24
Let c = -29 - -45. Calculate the smallest common multiple of ((-56)/10)/((-30)/75) and c.
112
Let l(q) = q**3 + q. Let d(c) = -3*c**3 - 5*c**2 - 5*c - 4. Let r(x) = -d(x) - 2*l(x). Calculate the common denominator of r(-6) and -24.
1
Let i = -39433/22 - -1792. What is the common denominator of -105/26 and i?
286
Let x = 657/10 + -281/4. Calculate the common denominator of x and 587/(-70) - (-4)/14.
20
Let v be (-3)/(4*(-4)/(-48)). Let f = v + 17. Calculate the lowest common multiple of f and 10.
40
Let v(w) = -w + 2. What is the lowest common multiple of 20 and v(-2)?
20
What is the smallest common multiple of 6 and 3/2*(-120)/(-15)?
12
Let r = 41305/14 - 9162/7. Let d = -1598 + r. Find the common denominator of d and 59/10.
10
Let s(o) = 5*o**2 + o + 2. Let w = 5 - 8. Let f be s(w). Suppose f = 2*m - 2*i + 7*i, 4*m - 3*i - 88 = 0. Calculate the smallest common multiple of 14 and m.
154
Calculate the common denominator of 2005/(-180) + (-4)/(-18) and 1/(-3) - (-74)/24.
12
Suppose -5*r + 12 = 2*m, -2*r = 4*m - 0*r - 8. What is the smallest common multiple of 5 and m?
5
Let x(i) = -i**3 + i**2 + i + 7. What is the least common multiple of 6 and x(0)?
42
Let l be (-2)/(-3) + (-30)/(-9). Suppose 4*w + 37 = 3*b, -l*b + 4*w + 23 = -3*b. Suppose v = 2*v - 8. Calculate the least common multiple of v and b.
56
Let g be (-1)/(-3*1/(-9)). Find the common denominator of -53/8 and (515/(-20))/(g/2).
24
Let o = 1209 - 6108/5. What is the common denominator of o and -22/9?
45
What is the lowest common multiple of 110/7 + ((-36)/42)/(-3) and 16?
16
Let p(v) = v**2 + 3*v + 8. Calculate the least common multiple of p(-3) and 36.
72
Suppose -2*d = 936 - 148. What is the common denominator of -5/8 and d/40 + 2/(-5)?
8
Let q(j) = -j**3 + 7*j**2 - 6*j + 4. Let f = -9 - -17. What is the smallest common multiple of q(6) and f?
8
Let t = 4 - 2. Suppose 6 + 39 = 5*d - 5*m, 3*d = -t*m + 22. What is the least common multiple of d and 4?
8
Suppose 12*b - 47 = 25. What is the least common multiple of b and 20?
60
Suppose 5 = -3*r - 19. Let q = r - -8. Suppose q*p - p + 6 = 0. Calculate the least common multiple of p and 9.
18
Let u(b) = -5*b. Let r be 0/((-3)/1 + 2). Suppose r = -0*w + 3*w + 6. Calculate the least common multiple of 8 and u(w).
40
Suppose 3*u - 2 = u. Let j = 1 + u. What is the least common multiple of j and 16?
16
What is the common denominator of ((-22)/(-66))/((-2)/(-39)) and -81/10?
10
Let x(w) = 2*w**2 - w - 2. Calculate the smallest common multiple of x(2) and 4.
4
Suppose 5*m - 7676 = 4*m. Let b = 286635/13 - 1869471/130. Let j = b - m. Calculate the common denominator of j and 29/2.
10
Find the common denominator of ((-28)/(-3))/((-4)/12) and 17/9.
9
Calculate the smallest common multiple of (9/15)/((-4)/90)*-2 and 9.
27
Suppose m + 3*m = 8. Let i(b) = -b**2 - 4*b - 1. Let j be i(-3). Calculate the lowest common multiple of m and -2*(4 + (-19)/j).
22
Find the common denominator of 62/25 and (156/10)/((-22)/(-5)).
275
Let c = 902 - 2931. Let d = c - -36479/18. Find the common denominator of 1/18 and d.
18
Let w(q) = q**2 - q - 10. Calculate the least common multiple of 1/2 + (-43)/(-2) and w(6).
220
Let o = 20443/14 - 1456. Calculate the common denominator of o and 1 - 1 - (-91)/10.
70
Suppose 0 = 3*i - i - 40. What is the common denominator of 634/(-84) - (-6)/(-21) and 94/i - (4 + -5)?
30
Let x = 253570521/14 - 18119895. Let r = x - -7710. Calculate the common denominator of r and -1/4.
28
Suppose 0 = -m - 2, 4*d = -3*m - 2*m - 34. What is the least common multiple of (-16)/(-28)*(-21)/d and 16?
16
Let l(w) be the first derivative of w**4/4 + 7*w**3/3 - 7*w**2/2 + 2*w - 6. Find the common denominator of 49/12 and l(-8).
12
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