m + 2. Let u be o(3). Let s be (-74 - (2 - 1))*u. What is the common denominator of 31/11 and ((-276)/s)/((-4)/10)?
55
Let f = 17 - 16. What is the least common multiple of 3 and f?
3
Let k = -5332/11 + 484. Let q = -21 + 15. What is the common denominator of k and q/(-20)*(-101)/(-3)?
110
Let d = 106/35 - -132/35. Calculate the common denominator of (-2*(-5)/6)/((-24)/153) and d.
40
Let i = 55/6 + -37/4. Suppose 0 = -4*s - 41 + 241. Calculate the common denominator of (s/48 + -1)*-106 and i.
12
What is the least common multiple of (1*-3)/((-3)/2) and 1?
2
Suppose 0*j - 2*j = -z + 72, -4*z + j = -260. Find the common denominator of -59/14 and ((-216)/z)/(2/6).
56
Let s(a) = a**2 + 3*a - 3. Let c be s(-4). Let u be (11 - 1) + (-2)/c. Calculate the common denominator of 77/10 and (-118)/u + 0 + -2.
20
Suppose v - 18573 + 4176 = -4*h, 3*h - 3*v = 10779. Let w = -50409/14 + h. What is the common denominator of w and -77/8?
56
Suppose 2*s - 6 = 4*m, 2*m + 0*s = -2*s + 6. Let p be -2*(m - 2)/2. What is the common denominator of 139/6 and -1 + p - (-98)/(-12)?
6
Let a(p) = -p**2 - 2*p - 1. Suppose -4*t = 3*l - 36 + 8, -2*t = -l - 4. Let y be a(t). Calculate the least common multiple of 1 and (-10)/y*1*25.
10
Suppose -142 + 46 = -6*h. What is the least common multiple of h and 2?
16
Let g = 126 - 94. Calculate the lowest common multiple of 4 and g.
32
Let i be (1/(-4))/((-9)/146766). Let q = i + -10881/2. Let t = q + 1346. Calculate the common denominator of t and 65/4.
12
Suppose o + 30 - 2 = 2*b, -3*o + 92 = 5*b. Let f = 24 - b. Calculate the least common multiple of 1 and f.
8
Let b be -14*((-2)/2)/(-2). Let c(m) = -3*m - 5. Let r be c(-6). Let d = b + r. Calculate the smallest common multiple of d and 22.
66
Calculate the common denominator of 91/44 and (3/(96/(-76)))/(-4).
352
Let l(c) = -7*c + 2. Let a be l(2). Find the common denominator of (-191)/6 + 8/a and -115/28.
28
Suppose -2*t - 45 = 11. What is the lowest common multiple of 8 and 8/(-3)*189/t?
72
Let y be 4/(-18) + 641/9. Suppose -2*r + q = -32, -5*q - y = -5*r - 1. What is the lowest common multiple of 99/(-6)*16/(-12) and r?
198
Suppose -4*x - 7687 + 323 = 0. Let c = 605255/186 + -43500/31. Let v = c + x. Calculate the common denominator of v and -10/3.
6
Suppose 0 = -4*m - 22 + 2, -4*q - 4*m = -68. Suppose 2*w + 6*k - 4*k - q = 0, -12 = -2*w - 4*k. What is the smallest common multiple of w and 8?
16
Let p be (-2 - -1)*(1 - 7). What is the smallest common multiple of (p/(-4))/(2/(-16)) and 4?
12
Let l = 15961 + -351203/22. What is the common denominator of l and 85/14?
154
Let d(l) = -l**3 + l**2 + 11. Let c be d(0). Suppose 4*u + 8 = -4*y + 24, 6 = 3*u + y. Let b = c - u. What is the smallest common multiple of 14 and b?
70
Suppose 0 = 4*r - 12. Suppose r*c + 2 = 32. What is the smallest common multiple of 9 and c?
90
Let c = -146391/20 - -7325. Find the common denominator of -115/18 and c.
180
Let v be (10/(-20))/((-2)/8). Suppose r + x - 5 = 0, 0 = -v*x - 3*x + 15. Calculate the least common multiple of 10 and r.
10
Let r be 6 + -6 + 1*-4. Calculate the common denominator of 47/6 and r/24 + 130/(-3).
6
Let j(s) be the second derivative of s**4/12 - s**3/3 - 3*s**2/2 + 2*s. What is the smallest common multiple of (-1)/4 + (-17)/(-4) and j(4)?
20
What is the lowest common multiple of 6/39 + 72/39 and 2?
2
Let i = 93 + -71. What is the smallest common multiple of ((-8)/10)/(4/(-60)) and i?
132
Suppose 40 = -2*b + 4*b - r, 4 = -r. Let z(y) = -3*y**3 + 2*y**2 - y + 2. Let m be z(2). Calculate the smallest common multiple of b and (5/(5/m))/(-1).
144
Suppose 5*d - 807 + 25522 = 0. Let f = -1312915531831/265533180 + -1/13276659. Let v = d - f. Find the common denominator of -81/20 and v.
20
Let o = 1221 + -689. Let b = o + -4778/9. Find the common denominator of b and 11.
9
Suppose z - 2 = 5. What is the least common multiple of (-1)/4*-4*3 and z?
21
Let b(r) = -r - 2. Let f be b(-4). Suppose 15 = 5*k - 0*v - v, v = -f*k + 6. Calculate the smallest common multiple of ((-4)/10)/((-1)/20) and k.
24
Let x = 1517/76 + -840/19. Find the common denominator of 49/16 and x.
16
Let h(l) = 14*l**2 + 15. Let y(s) = -5*s**2 - 5. Let j(g) = 6*h(g) + 17*y(g). Calculate the smallest common multiple of j(0) and 7.
35
Let i = -626 - -2527/4. Let w(t) = t + 1. Let a be w(3). Find the common denominator of 3/a*34/3 and i.
4
Let g = -1698601973/1237624710 - -10/1793659. Let y = -118133/69 + 1712. Let h = y - g. Find the common denominator of 19/10 and h.
10
Suppose g - 3*g + 2*p - 10 = 0, 2*p - 6 = 0. What is the common denominator of 30/105 - (-1594)/(-140) and ((-38)/(-11))/g + -1?
110
Suppose 20 = 2*d - d - 3*z, 0 = z + 5. Let r be ((-118)/4)/(d/(-30)). Find the common denominator of r/6*(-1)/4 and -26.
8
Suppose 6*a - 3*a - 18 = 0. What is the smallest common multiple of 10 and a?
30
Find the common denominator of 960/135 + -4 + 1 and 117/10.
90
Let b = 71 - 66. Calculate the least common multiple of 5 and b.
5
Let i be 2/7 - (-33)/7. Suppose 3*q - i = 1. Calculate the lowest common multiple of q and 12.
12
Let o = -4 - -74. Find the common denominator of 2/(-7) - 778/o and ((-8)/(-96))/(1/2).
30
Suppose 51 = 5*n - 2*s - 4, -2*s + 36 = 2*n. Let r = 0 - 8. Let k = r + n. What is the lowest common multiple of k and 9?
45
Let x = -7 + 13. Let j = -11 + 8. What is the smallest common multiple of x and 4 + -2 - 3/j?
6
Let q = 16/633 - 8943/422. Calculate the common denominator of 145/6 and q.
6
Let l = 9 - 7. Calculate the common denominator of -25/6 and (-1)/(l + 171/(-78)).
30
Let l(a) = 7*a - 77. What is the least common multiple of l(14) and 39?
273
Let v(q) = q + 1. Let x be v(3). Let c = x + 2. Calculate the lowest common multiple of ((-24)/21 + 2)*7 and c.
6
Let c = 465/51986 + -1/278. Let m = 270855020225/1683 + -160935836. Let i = c - m. What is the common denominator of -19/5 and i?
45
Let z = 1/171 + -10109/3420. What is the common denominator of 77/32 and z?
160
Let i(x) = 8*x**2 + 3*x. Let m be i(-2). Let o = -16 + m. Let l(b) = 10*b + 2. Calculate the smallest common multiple of o and l(2).
110
Suppose 0 = 5*x + 3*d - 7, 5*x = 2*d - 6*d + 6. Suppose 16 = x*p - p. What is the lowest common multiple of p and 4?
16
Suppose -2*y = -r + 17, -5*r - 4*y + 14 + 1 = 0. Suppose p = -2*p - o + r, -3*p - 4*o = -19. Calculate the smallest common multiple of p and 9.
9
Let h = -997/2 + 508. Let n = 7 - h. Let p(y) = 2*y + 2. Find the common denominator of p(6) and n.
2
Find the common denominator of (-16)/(-4) + 655/(-40) and 1/(-2) - 190/(-44).
88
Calculate the lowest common multiple of 4/(-6)*81/(-6) and 1.
9
Let t(x) = x + 28. What is the lowest common multiple of 20 and t(-6)?
220
Let u = 14 + -6. Let z = 8 + -4. What is the smallest common multiple of u and z?
8
Let c(m) = -m**2 + 9*m + 1. Let w be c(9). Suppose 1 = g - w. Suppose 4*t - 5*v + 23 = 8*t, -g*v = 10. What is the lowest common multiple of t and 20?
60
Let g(t) = t**2 + 10*t - 6. Let n be g(-10). Find the common denominator of -23 and 27/(-42)*(-76)/n.
7
Let p = -3 + 7. Suppose -2*h - 14 + 0 = -j, 0 = p*h + 16. Find the common denominator of -24/5 and 128/j + (-2)/(-4).
30
Let z be (-40)/(-14) + 2/14. Suppose 0 = 3*k - z - 6. Calculate the smallest common multiple of k and 11.
33
Let c = 200 - 1301/6. Find the common denominator of 31/10 and c.
30
Let c(b) = -20*b - 75. What is the smallest common multiple of c(-6) and 30?
90
Let w(y) = -2*y**2 - 18*y - 2. Calculate the lowest common multiple of w(-8) and 16.
112
Suppose 3*t + 3*u + 3 = 6*u, u - 4 = 0. Suppose -3*w - 2*w - 13 = -2*i, -t*i + 9 = -4*w. What is the common denominator of ((-21)/(-4))/(w/6) and 13/10?
10
Let j = -14 + 122/11. Find the common denominator of -12/7 and j.
77
Let h = 79 + -78. What is the smallest common multiple of h and 46?
46
Let l be 2*((-2)/(-1) - 0). Suppose 5*p = -20, 82 = -l*t + p + 30. Find the common denominator of 46/5 and (t*2)/(6 - 9).
15
Let i = 2299 - 9123/4. Let z = 17476/9 + -1949. Calculate the common denominator of i and z.
36
Suppose -2*s - 94 - 278 = 0. Find the common denominator of 35/4 - 4/(-6) and 0 - s/4 - 1.
12
Let x = -17 - -14. Let a = x - -13. Calculate the lowest common multiple of a and 8.
40
Let z = -9 + -1. Let v = -6 - z. Suppose