1)/(-2 + 1)*11. Let p = a + 43. Suppose 0 = -0*m - 3*m + p. Calculate the least common multiple of 18 and m.
18
Calculate the common denominator of 262/20*(1 - (-44)/(-24)) and 41/27.
108
Let k = 11707/42 + -1992/7. Calculate the common denominator of -81/92 and k.
276
Suppose 4*s = 7*s + 5*w - 9, 2*w + 3 = s. Suppose 24 = 5*d - 4*r, -d - s*r - r + 24 = 0. Calculate the least common multiple of 18 and d.
72
Suppose 0 = 2*m + 7 - 23. Suppose 4*w + w - 20 = 0. What is the least common multiple of w and m?
8
Calculate the common denominator of 23/2 and 0 - (876/(-56))/3.
14
Suppose -24 = -r - d, 2*r - 48 = 6*d - d. Calculate the least common multiple of 21 and r.
168
Let z be 0 - (-9)/(2 + -3). Calculate the least common multiple of 8 and (12/z)/((-4)/6).
8
Suppose -2*s - 4 = -2*g, 0*g - 8 = -4*g - 3*s. Suppose 0*d = -d + g. Calculate the smallest common multiple of 14 and d.
14
Let q(v) = -v**2 + 5*v + 3. Let h be q(5). What is the common denominator of 1212/(-8)*1/h and -73/6?
6
Suppose 2*w + 29 = -2*t - 15, 0 = -2*w - 4*t - 46. Calculate the common denominator of ((-1)/(-5))/(14/w) and 13/5.
10
Let k be (-1)/(3/(-2))*-798. Let w = -101 - -706/7. Calculate the common denominator of (k/18)/(20/(-15)) and w.
42
Suppose 5*p - 10 = 5*b, -5*b + 4*p = 2*p - 2. What is the smallest common multiple of 16 and 44/5*5/b?
176
Let h = 2 + 0. Calculate the lowest common multiple of h and 22.
22
Let c(a) = a**2 + 6*a + 5. Let q be c(-6). Let r = q + -20. Let b = r - -21. Calculate the smallest common multiple of b and 3.
6
Let d(g) = 2*g**2 + 1 + 3*g + g - 3*g**2. Calculate the smallest common multiple of d(4) and (-27)/(-5) + (-2)/5.
5
Find the common denominator of 5/(-44) + 3/(-4) and -101/12.
132
Let d be (60/(-42))/((-4)/(-3769)). Let q = 1347 + d. What is the common denominator of q and (2/(-88))/(1/(-90))?
154
Suppose -88 = -5*u - 298. Let b = -68839/16 - -4301. Calculate the common denominator of b and -53*((-3)/u - 0).
112
Let i(z) = 3*z - 12*z**3 + 12*z + 9 - 16*z**2 + 13*z**3. What is the least common multiple of i(15) and (-7 - (-2 + 0))*-1?
45
Let w(y) = -y**3 - 7*y**2 + 3*y - 8. Calculate the least common multiple of w(-8) and 20.
160
Let u(t) = -t + 5. Let n be u(5). Let f(l) = 6 + 2*l**2 - 2*l - 3*l**2 - 2*l + 3*l. Calculate the smallest common multiple of f(n) and 18.
18
Let t be (2/3)/((-1)/9). Let h(o) = -o**3 - 5*o**2 + 3*o - 7. Suppose 0*w + 11*w = 33. Calculate the least common multiple of w and h(t).
33
Let g(r) be the second derivative of -r**5/20 - r**4/2 + 4*r**3/3 + 4*r**2 - 2*r. Calculate the smallest common multiple of g(-7) and 4.
4
Calculate the common denominator of -121/30 and (1/6)/(0 - 1/(-73)).
30
Let c(b) = -b + 13. Calculate the smallest common multiple of c(12) and 2.
2
Suppose -2*m + 24 = 4*n, -2*n - 3*m = -0*m - 8. Suppose -4*v + n*y - 3*y = 4, 3*v + 9 = 5*y. Calculate the smallest common multiple of 14 and 10 - 3/(-3)*v.
84
Calculate the common denominator of 35/12 and 1 + -2 + 74/18.
36
Let p(m) = m + 4. Let x be p(-6). What is the common denominator of (-133)/(-20) - x/(-8) and (-535)/(-40) - (-1 - -3)?
40
Let t be (-1 - (1 - 0))*6. Let r be 3/t + (-77)/(-4). Suppose -3 - r = -2*u. Calculate the smallest common multiple of u and 5.
55
Let g be (-15)/(-9) + 3/9. Suppose g = q - 6. Calculate the lowest common multiple of 2 and q.
8
What is the common denominator of 63/34 and (2/12)/(76/(-2679))?
136
Let i(s) = s + 15. Let k be i(-13). Suppose -k*x - 2*x = 5*n + 16, -x - 19 = 5*n. Calculate the smallest common multiple of x and 8.
8
Let p = 18 - 23. Find the common denominator of ((-56)/p)/(15/(-25)) and -16/9.
9
Let h be ((-27)/(-15))/((-5)/(-25)). Suppose 3*v + 5*u - h = 0, v - 6*u = -u + 23. Calculate the lowest common multiple of 4 and v.
8
Suppose 5*j + 0*j = 10. Calculate the least common multiple of 7 and j.
14
Let z(j) = j**3 - 6*j**2 + 3*j + 12. What is the smallest common multiple of 33 and z(6)?
330
Calculate the least common multiple of 2 and -2 - (-3 - 2 - -1).
2
Suppose 4*i - 3*k - 36 = 0, 4*k - 27 = -3*i + 2*k. Suppose 2*l - i = -155. Find the common denominator of (4 + -5)*l/6 and -55/12.
12
Suppose -18*l = -16*l - 4. Calculate the lowest common multiple of l and 78.
78
Suppose 2*p - 19 = -2*o + 5, 3*o = 3*p + 12. Suppose -m = -o - 8. Calculate the least common multiple of m and 6.
48
Let h(n) = -6*n - 3 + n**2 + 8 + 0. Let l be h(5). Suppose 0 = -l*r + 3*r - 9. Calculate the lowest common multiple of r and 4.
12
What is the common denominator of 43/2 and -1*53/3 + 1?
6
Let z(m) = 4 - m - 7 - 8 + 3. Let l(d) = 2*d - 1. Calculate the lowest common multiple of z(-12) and l(3).
20
Let p = -8783/198 - -407/9. Calculate the common denominator of -145/12 and p.
132
Let c = 21 - 4. Suppose 4*j - c = 39. Calculate the least common multiple of 4 and j.
28
Let v(t) = -t**3 + 4. Let z be v(0). Let o(n) = -3*n + 2. Let a be o(z). Find the common denominator of 85/6 and 6 - 8 - 31/a.
30
Let p(l) = -7*l - 15. Let u be p(-6). Calculate the lowest common multiple of ((-4)/6)/((-1)/u) and 6.
18
Find the common denominator of -74/3 and 4/16*1 - 117/84.
21
Suppose -2*u + 108 - 26 = 0. Find the common denominator of -145/6 and u.
6
Suppose -22 = k - 0*k. What is the common denominator of ((-416)/(-48))/(k/(-3)) and 61/5?
55
Let b be 1/156*5674/(-7). Let h = b - 7/78. What is the common denominator of 5/7 and h?
7
Let s be 0*2/(-4) + -15632. Let k = s - -343997/22. Let g = -3531/2270 + 5/908. Calculate the common denominator of k and g.
220
What is the common denominator of 5 - 179/28 - -5 and 29/36?
252
Let c = -4549915 - -204736561/45. Let n = -1840/9 - c. Find the common denominator of -47/7 and n.
35
Let x(l) = l**2 - 7*l + 3. Let g be x(7). Suppose g*d - 15 = 0, 5*d + 0*d - 196 = -p. Let m = 1843/11 - p. What is the common denominator of m and 49/8?
88
Let q = 193/144 + -52/9. What is the common denominator of 99/32 and q?
32
Let q = 1/6 - 35/12. Calculate the common denominator of q and 34/5.
20
Let w = -4 - -5. Calculate the smallest common multiple of w and 7.
7
Let q(d) = 53566*d**2 + d. Let z be q(-1). Let j be (-12)/(-25993)*z/(-8). Let x = j - -1/4726. Calculate the common denominator of 123/10 and x.
110
Let l(v) = v**3 - 3*v - 3. Let h be l(-3). Let w = -8297/11 - -751. What is the common denominator of w and 1 + (-4)/3 + h?
33
Let w = 42024641971/1110 + -37860035. Let l = w - -4/185. What is the common denominator of l and -45/2?
6
Calculate the common denominator of 2/(-9) + 6972/(-2160) and ((-63)/(-22) - -2) + 0.
220
Let y be (12/15)/(4/310). What is the least common multiple of (-2)/6 - y/(-6) and 2?
10
Let h be 16/(-4)*1689/(-12). Let q be -2 - (1 + 4017/(-7)). Let w = h - q. Calculate the common denominator of -5/3 and w.
21
Suppose -4*a = 21 + 3. Let w(r) = -6*r + 4. Let m be w(a). Suppose 5*o - m = 60. Calculate the smallest common multiple of 8 and o.
40
Calculate the least common multiple of ((-3)/9)/((-4)/144) and 12.
12
Suppose -12 = -v - 4*l - 0*l, -v = -3*l - 5. Calculate the common denominator of -31/10 and (v/12)/((-16)/(-342)).
20
Let t = 5 - 5. Suppose -u = -2*g + 25, t*u + 38 = 3*g - 2*u. What is the smallest common multiple of (-4)/10 + (-82)/(-5) and g?
48
Suppose -3*q - 2*v + 94 = 0, -26 = -4*q + v + 92. What is the smallest common multiple of 18 and q?
90
Let n(d) = -d**3 - 12*d**2 + 13*d + 18. Suppose 4*f + 3*o - 49 = 0, 24 = 4*f - 3*o - 7. Calculate the least common multiple of n(-13) and f.
90
Suppose 17*l - 21*l = -40. Calculate the smallest common multiple of l and 2.
10
Suppose 2*l = l + 22. Let p = -2 + l. What is the least common multiple of 20 and p?
20
Let j = -12580/21 - -597. Find the common denominator of 43/15 and j.
105
Calculate the common denominator of -36 + 38 + 0 + 31/3 and -85/88.
264
Suppose -20 = 5*r, 4*x - 23 = -x + 2*r. Suppose -3*a = -t - 6, -3*t - a + 12 = -4*t. Let c = -5 - t. Calculate the smallest common multiple of x and c.
30
Let t = 495 + -6925/14. Find the common denominator of t and 85/2.
14
Suppose -15 = -4*b - 3*x, 3*b - b = -5*x - 3. What is the least common multiple of 3 and b?
6
Let c(z) = z**3 - 2*z + 2. Let k = -7 + 9. Calculate the smallest common multiple of 6 and c(k).
6
Let u = -4 - -5. What is the common denominator of 445/20*u/(-5) an