and 12/(-18) - (-1 - 118/36).
90
Suppose -36 = -3*j + 3*k, 0*j + j - 5*k - 12 = 0. Suppose -4*g - 1 + 65 = 0. Calculate the smallest common multiple of g and j.
48
Suppose 2*d - d - 9 = z, 81 = 5*d + 4*z. Suppose 6*v - 18 = 3*v. What is the smallest common multiple of v and d?
78
Find the common denominator of 84*(-1)/(16/(-6)) and -29/18.
18
Let y be (-195)/(-12) + (-2)/(-8). Suppose 3*b - 1 + 4 = 0. Let t = y + b. Find the common denominator of t and 35/16.
16
Suppose 2*y - 11 = 3. Suppose d + d - 6 = 0. Suppose 0 = c - 2*c + d. What is the least common multiple of y and c?
21
Calculate the common denominator of 4/18 + 6377/(-630) and -11/18.
90
Suppose -4*w = 9 - 1, -w + 18 = 2*v. What is the least common multiple of 4 and v?
20
Let q(j) = j**2 + 2*j - 4. Let x = 16 - 13. Suppose k = -0 + x. Calculate the least common multiple of q(-5) and k.
33
Let j be 3/4 + 1092/(-48). Let d = j + 24. Suppose -4*p - 1 = -b + 4, 0 = 4*b - 4*p - 8. Calculate the smallest common multiple of d and b.
2
Suppose -83*z = -84*z + 14. Calculate the least common multiple of z and 12.
84
Suppose -2*u = -h - 319, -68 - 88 = -u + 4*h. Calculate the common denominator of -17/14 and u/(-6) - 4/(-24).
14
Let l = 18 + 10. What is the lowest common multiple of 2 and l?
28
Let z = 100 + -76. What is the lowest common multiple of 36 and z?
72
Find the common denominator of 5/90*357 - 4 and ((-40)/6)/(3/2).
18
Let m(h) = -h**2 + 6*h + 6. Let f be (1 - -1) + -3 + 24. Suppose 2*w = f + 15. Find the common denominator of w and m(7).
1
Let h(v) = 4*v - 1. Let c be h(1). Suppose -c*k = 3, -d + 20 = d - 4*k. Calculate the least common multiple of d and 10.
40
Let c be -2*1/3*3. Let p(m) = -m - 2. Let r be p(4). What is the lowest common multiple of 3 and (r/(-1) - c) + 0?
24
Let a be (0 + 1)/((-1)/3613). Let y be (2 - -5)*a + 0. Let z = 556299/22 + y. Find the common denominator of z and 91/20.
220
Let o be 2/1 - (1 + -7). Let f(m) = 11*m - 4*m**3 - 2*m + 5*m**3 - 9*m**2 - 2. Calculate the least common multiple of f(o) and 1.
6
Suppose -9*c + 260 = -100. What is the smallest common multiple of 8 and c?
40
Calculate the lowest common multiple of 2 and 1/(-2 - 0 - (-55)/22).
2
Suppose 0 = -5*h + 15 + 140. Suppose 5*j - 14 - h = 0. What is the common denominator of (146/j + 0)/(-4) and 95/8?
72
Let o = -91/22 - -46/11. Let v = -2264/21 - -320/3. Let t = 15/14 + v. What is the common denominator of o and t?
154
Calculate the common denominator of 18/11 and (4 - 1) + 850/(-51).
33
Suppose 3*j - 6 = 3*r, -5*j - 5*r = -2*r - 10. Suppose -4 = 5*i + 1. Let o = 3 + i. What is the least common multiple of o and j?
2
Let d = -4/1741 - 231529/10446. Suppose 2*f + 20 = 4*g, 3*f = 8*f - 5*g + 25. What is the common denominator of d and -4 - 350/(-12) - f?
6
Let w = 42012831 - 51255651039/1220. Let i = w - -5/244. What is the common denominator of i and 103/14?
70
Let j = 2159/4 - 561. Let c be (-600666)/164000 + 4/(-10). Let t = -1/10250 - c. Calculate the common denominator of t and j.
16
Suppose 0 = -3*h + 6*h + 3*m + 3, -4*h = -2*m - 20. Suppose -h*w - 6 = -6*w. Calculate the common denominator of (w/(-70))/((-6)/1455) and -71/16.
112
Suppose -5*o + 3*i = -0*o - 29, 0 = 5*i + 15. What is the smallest common multiple of 12 and o?
12
Suppose 4*z - 20 = -0*z. What is the least common multiple of z and 4?
20
Let k = 1/142 + -3841/994. Calculate the common denominator of 65/4 and k.
28
Let w(p) = -p**3 - 6*p**2 - 6*p - 5. Let s be w(-5). Suppose -3*m + 15 = -s*m. Let q = 6 - 1. Calculate the lowest common multiple of m and q.
5
Suppose -6*d = -4*d + 52. Calculate the common denominator of d and 13/4.
4
Let t = 10 + -5. Suppose -t*c = -48 - 52. Calculate the least common multiple of ((-9)/(-3) + 1)/1 and c.
20
Let m = 31 + -12. Suppose 0 = 2*h - 6 - 0. Let d = h + m. What is the least common multiple of d and 6?
66
Let r be 2/(-5) + 60/25. Suppose 0 = -l - 2*b + 8, r*b = 4*l - 0*b - 12. Let p(n) = -9*n + 1. What is the least common multiple of p(-1) and l?
20
Let q be 2*(-1 - (-34)/2). Suppose 2*p - 6*p = -q. What is the least common multiple of p and 3?
24
Let a = -4 + 5. Calculate the lowest common multiple of 22 and 3*a + (14 - -3).
220
Let l be (-213)/(-6)*(-26 - 1). Let t = l - -990. Calculate the common denominator of (-65)/16 + 2 + 1 and t.
16
Suppose -3*k = -3 - 9. Calculate the common denominator of 111/(-108) + k/16 and 45/2.
18
Let l = 8180/11 - 741. Let p be -2 - -1498*(-23)/11. Let g = 3130 + p. Find the common denominator of g and l.
11
Let l = -34 + 44. Calculate the least common multiple of 16 and l.
80
Let j = -474604827852440507/68342094980908326 - 1/385891153013. Let h = 67042933/127907 + -6814/13. Let r = j - h. Find the common denominator of r and -85/12.
36
Calculate the common denominator of (-18)/72 + (-26)/8*2 and -81/26.
52
Suppose 3*b + 2*j = 20, -2*b + 8 = 3*b - 3*j. Suppose 3*w + 22 = b*w. What is the smallest common multiple of w and 8?
88
Suppose -l = -2*w - 82, 0 = -2*l - w + 6*w + 161. Calculate the smallest common multiple of l and 20.
440
Let l = 11 + 0. Suppose -3*s + 13 + l = 0. Calculate the least common multiple of 4 and s.
8
Let n = -1 - -4. Let u = -8 + n. Find the common denominator of -46/11 and (1/22)/(u/(-230)).
11
Let g be (-2)/(-8) - 2479/(-68). Let m = g - 2843/102. Let h = -1530/59 - -24523/1180. What is the common denominator of h and m?
60
Suppose 3*z + z = -2*h + 38, -32 = -3*z - 5*h. What is the lowest common multiple of 9 and z?
9
Suppose i = 5*o - 2 - 14, -5*i = -4*o + 17. Find the common denominator of 81/10 and o - (2 - (-297)/24).
40
Let a = 15 - 9. Let c be (-4)/(-3)*a/(-4). Let g = c - -10. What is the least common multiple of 10 and g?
40
Let v = 16 - 10. What is the smallest common multiple of v and (-276)/(-27) + 2/(-9)?
30
Let g = 2231/2035 + -1/185. Let k = -17495/7 + 2491. Find the common denominator of g and k.
77
Calculate the common denominator of 23/10 and (-1 - -1) + 236/16.
20
Let s(u) = u**3 - 5*u**2 - 2*u + 7. Let h be s(5). What is the common denominator of 59/3 and -47 + 3*(-2 - h)?
3
Let a = -581 - -6386/11. Let w = -23057/10 + 2308. Find the common denominator of w and a.
110
Let r be (-4754)/574 + 6/2. Let l = r - 6/41. What is the common denominator of l and 1*1/6 - 2?
42
Let z = 3 + 3. Let l = 34 + -24. Calculate the smallest common multiple of l and z.
30
Let y = -2185 + 21811/10. Suppose -12 = -3*w, 5*w = 3*q - 12 - 10. Calculate the common denominator of -10*(-10)/q + -2 and y.
70
Let t = -297349639/22993652 + -2/522583. Let b = t + 288/11. What is the common denominator of b and -4/3?
12
Find the common denominator of 95/22 and 5/3*(-702)/(-144).
88
Let p = 46 + -22. Calculate the common denominator of (1 - 28/p)*-101 and -43/6.
6
Let j(t) = -3*t**3 + t**2. Let i be j(-1). Suppose 2*z + 47 = d, -5 - 1 = z - i*d. What is the common denominator of 2/8 + z/(-56) and 39/4?
28
Suppose 0 = 2*w - 3 - 19. Suppose 5*u - m - 20 = 0, -2*m - 2*m + 25 = u. Calculate the smallest common multiple of w and u.
55
Suppose 0 = 4*q - 3*y + 10107, -5*q - y - 12384 = 245. Let t be ((-34)/18)/(q/10845). Let f = t + 24/421. What is the common denominator of -40 and f?
6
Let r be (-1)/1 + 0 + 9. Find the common denominator of 4/3*(-189)/r and 27/8.
8
Let n(v) = v**3 + v**2. Let g(w) = -w + 5. Let l be g(3). Calculate the least common multiple of n(l) and 8.
24
Suppose 0 = -4*t + 3 + 1. Calculate the common denominator of (t - 4) + (-385)/84 and 43/10.
60
Let w = 5823/4 - 40611/28. What is the common denominator of 51/8 and w?
56
Let z(f) = f**3 - 4*f**2 - 5*f + 2. Suppose 4*n + 0*n - 5*t - 40 = 0, -17 = -n + 3*t. What is the smallest common multiple of 6 and z(n)?
6
Calculate the common denominator of 7/16 and (-8)/44 - (-5045)/1430.
208
Suppose -12*h + 182 = 38. Calculate the lowest common multiple of 44 and h.
132
Let r(f) = -f**2 - 16*f - 1. What is the lowest common multiple of 16 and r(-15)?
112
Let h = -3523 - -21077/6. What is the common denominator of h and 357/(-36) - 5/(-15)?
12
Let t(b) = -b**2 - 11*b - 9. What is the lowest common multiple of t(-10) and 2?
2
Let y = 55847/20 + -2795. What is the common denominator of 83/10 and y?
20
Let s = -3776 + 34024/9. Find the common denominator of s and ((-24)/(-3))/((-14)/11).
63
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