). Calculate the common denominator of (-996)/x*2/(-12) and -77/2.
8
Let s(p) = -p**2 - 6*p. Let w be s(-5). Suppose -w*c = -15 - 20. Calculate the least common multiple of c and 5.
35
Let l(x) = 2*x + 25. Calculate the least common multiple of 5 and l(-11).
15
Let h = 112 + -107. Calculate the smallest common multiple of 3 and h.
15
Let h = -3 + 6. Suppose 4*r + h*d + 9 = r, 16 = -4*d. Calculate the least common multiple of r and 5.
5
Let h = 36613/10 - 3657. Find the common denominator of 31/6 and h.
30
Suppose -3 = -5*g + 2. Let u(n) = 2*n - 1. Let p be u(4). Suppose -5*t = 0, p*o - 4*o - 27 = t. What is the smallest common multiple of o and g?
9
Suppose 0 = -3*r + 2*t + 3, -5*r + 5 = -4*t + 6*t. Let q = 5 + r. Suppose 15 + 12 = 3*i. What is the smallest common multiple of i and q?
18
Let l(c) = 2*c - 8. Suppose -11 = -10*r + 9*r. Suppose -3*m = 2*i - 33, 4*i = m + i - r. Calculate the lowest common multiple of l(6) and m.
44
Suppose 8*j + 264 = 20*j. What is the smallest common multiple of 176 and j?
176
Let w = 32713/4 - 8241. Let v = -63 - w. Let o = 21691/6 - 3607. What is the common denominator of o and v?
12
Suppose 3*t - 18 = -0*t. What is the smallest common multiple of 20 and t?
60
Calculate the common denominator of 460/(-112)*(-6)/(-5) and 93/34.
238
What is the common denominator of -77/2 and 157/(-30) + 6/(-10)?
6
Suppose 27 + 8 = 5*b. Calculate the lowest common multiple of 1 and b.
7
Let l be 120/(-18)*-3*1. Calculate the common denominator of -59/10 and (174/(-10))/((-16)/l).
20
Suppose 0 = -8*o + 174 + 50. Calculate the smallest common multiple of 20 and o.
140
Let t be (-8)/(-2) + -1 - -23. Suppose q + 5*x - 7 = 0, -2*q + t = -3*x - 1. Calculate the smallest common multiple of q and 8.
24
Let a be (2/(-3))/(80/372). Let l = a - 1/2. What is the common denominator of l and -71/10?
10
Suppose 8*p = 4*p + 80. What is the lowest common multiple of 16 and p?
80
Suppose -3*v = w - 286, v = -w + 3*v + 271. Let h = -2/12671 - 10821028/38013. Let y = w + h. Calculate the common denominator of y and -119/10.
30
Suppose 2*r + 6 = 4*r. Suppose -5*y + 17 + r = 0. What is the least common multiple of y and 8?
8
Let x(y) = -y**3 + 4*y**2 + 8. Calculate the smallest common multiple of x(4) and 44.
88
Let v = -1216/177 + 12/59. Let t be -13 - 0 - 1*3. What is the common denominator of v and ((-4)/(-6))/(t/660)?
6
Suppose 0*v - 4*f = -2*v + 6, -7 = -2*v + 3*f. What is the smallest common multiple of v and 8?
40
Find the common denominator of -2/7 and ((-259)/(-28) + -9)*(78 + 0).
14
Suppose -2*l + 26 = 4*f, -f + 3*f - 35 = -3*l. Let o = -8 + l. Calculate the common denominator of o and 29/8.
8
Suppose 0*l + 4*l - 3 = 5*b, -3*b - 2*l + 7 = 0. Calculate the common denominator of 77/2 and 1/b + (-465)/20.
4
Suppose -5*g + 18 = -8*g - 3*l, -2*l - 14 = 4*g. Find the common denominator of 89/2 and g + 2 + (-124)/(-32).
8
Suppose -l = -4*c + 6, 0 = l + 5*c - 0*c - 39. Suppose 5*d - 98 = 4*h, 2*d - 12 - l = -5*h. Calculate the smallest common multiple of 6 and d.
18
Suppose 2*u + 3*f = -31, 21 = -2*u - 4*f - 7. Let s be (-3)/(0 - -6)*u. Suppose -2*k = -s, -3*k + 31 + 20 = 2*j. What is the least common multiple of j and 20?
180
Suppose 3*v - k + 219 = 8*v, k = -4*v + 175. What is the least common multiple of 20 and v?
220
Let f(n) = 3*n**2 - 1. Let w be f(-1). Calculate the common denominator of -91/4 and w/(-7) - 755/(-70).
4
Suppose -5*o + o = 0. Calculate the lowest common multiple of 2 and 2 - o - (-4 - -1).
10
Let y(m) = m**3 + 6*m**2 + 4. Let x be y(-6). Suppose -3*s + 4*f - 100 = -f, -x*s - 152 = -2*f. Find the common denominator of 15/s*(-17)/(-3) and -111/10.
40
Let b = -5170/9 + 582. Let n = 10031/6 - 1659. What is the common denominator of b and n?
18
Let n(f) = 168*f + 10. Let l be n(7). Let b = l + -2299/2. Find the common denominator of b and -59/22.
22
What is the least common multiple of 7 and (-153)/(-6)*4/6?
119
Suppose -3*t - c + 18 = -0*t, 0 = 5*t + 3*c - 34. Suppose i + t*d = 17, 8*i - 7*i - 9 = -d. Calculate the lowest common multiple of i and 1.
7
Let b(i) = 6*i**3 + i**2 + 2. Let d = 9 + 13. What is the smallest common multiple of d and b(2)?
594
Calculate the common denominator of 55/4 and (-3 - -4) + ((-255)/(-4))/(-3).
4
Suppose 5*a + 4*m = 37, -3*a + 4*m + 3 + 0 = 0. Suppose -110 = -a*v + d, d - 3*d - 22 = -v. Calculate the lowest common multiple of 20 and v.
220
Let g be (-2)/(-6) - (-11473)/(-6). Let r = 1919 + g. Calculate the common denominator of 17/8 and r.
24
Suppose 6 = n + 1. Let a(x) = -x**3 + 6*x**2 - 4*x + 4. What is the lowest common multiple of 9 and a(n)?
9
Suppose -i = -6*i + 50. What is the lowest common multiple of 8 and i?
40
Calculate the common denominator of (-642)/72*(-1 + -1) and 121/18.
18
Calculate the common denominator of -13/12 and (-4 - (-241)/33) + -3.
132
Find the common denominator of -35/16 and ((85/3)/1)/(-6).
144
Find the common denominator of -9*3/((-36)/(-17)) and 77/6.
12
Suppose 0 = 4*k - 2*k - 8. Let q be 18/6 + (1 - 1). Suppose q*w = 14 + 4. Calculate the lowest common multiple of k and w.
12
Suppose 4*j - 2*b = 77 - 23, -5*j + 85 = b. Calculate the least common multiple of 14 and j.
112
Let i(d) = d**2 + 3*d - 2. Let h be i(3). Calculate the common denominator of (1 - 2) + 166/h and -1/3.
24
Let y be 6/9 - (-2)/(-81). Let q = -3857/162 + y. Calculate the common denominator of -25/6 and q.
6
Let m = -48/293 - -16787/4102. Calculate the common denominator of m and -127/12.
84
Suppose b = 6*z - 2*z - 45, -4*b - 10 = z. What is the lowest common multiple of 3 and z?
30
Suppose -5*a - 6 = m - 116, -5*a = 5*m - 90. Let i = -11 + a. What is the least common multiple of 12 and i?
12
Let b = -55297/18 - -3073. What is the common denominator of b and 29/54?
54
Suppose -3*k = -2*k. Suppose -5*r + 2*r + 3 = k. Suppose 0 = 2*j + 8, 27 - 11 = 4*u - 2*j. What is the least common multiple of r and u?
2
Let z be 0 + -2 + 1 - 0. Let k be ((-1)/2)/(z/16). Calculate the common denominator of (1*k)/(28/(-26)) and -113/10.
70
Let v = -4334403/80 + 433569/8. Let k be (-174)/(-10) - (1 + 1). Let g = k - v. Calculate the common denominator of g and 25/12.
48
Suppose 0*x - 4*x - 3*h + 25 = 0, -x - 15 = 5*h. Let y = x + -4. What is the smallest common multiple of y and 9?
18
Let o(w) = -w**3 - w**2 + 3*w - 1. Suppose -t + 4*j = -4, j - 4*j = 5*t - 43. Calculate the lowest common multiple of o(-3) and (-30)/4*t/(-3).
40
Let x be (-8)/(-12)*(-8649)/(-8). Let b = x + -8471/12. Find the common denominator of b and 43/6.
6
Calculate the smallest common multiple of (-3 + 10*3/(-12))*-6 and 12.
132
Let x be (-3)/4 - (-1)/(-4). Suppose 0 = -s - 0*s + 3. What is the least common multiple of s and (-3 - x) + 2 + 4?
12
Let s = 11 - 8. Let c be s/75*1*-86. Let o = c + -59/25. Calculate the common denominator of 41/11 and o.
55
Suppose 0 = -3*i + 5*k - 23, 0 = 2*i + 3*i - k + 9. What is the common denominator of 655/70 + (i - 0) and 107/18?
126
Suppose -86 = 5*p - 26. Let q be 8*-1*(-5)/((-60)/9). Let f = q - p. Calculate the least common multiple of f and 4.
12
Let z(a) = 2*a. Let i(k) be the first derivative of 5*k**3/3 - 3*k**2/2 + 5. What is the lowest common multiple of z(2) and i(2)?
28
Suppose 13 = -2*j + 5*j + 2*g, -g = -j - 4. Let v be j*14 - (-2 + 0). Find the common denominator of -3/2 and (-42)/v + (-3 - -2).
8
What is the least common multiple of 7 and (-10)/(-6)*(-342)/(-95)?
42
Let j = 2115/172 + -45/43. Calculate the common denominator of -75/8 and j.
8
Let h = 1748928 + -244845799/140. Let y = h + -513/20. Find the common denominator of y and -67/12.
84
Let t be 130950/(-22744)*626/12. Let w = -63/2843 + t. Let j = 577/2 + w. Find the common denominator of 1/12 and j.
24
Suppose -4*m - 72 = -8*m. Let p = m + -11. What is the least common multiple of p and ((-4)/6)/(1/(-3))?
14
Let p = 29/276 + -219/23. Find the common denominator of p and 79/46.
276
Let t = 3159 - 12537/4. What is the common denominator of (-1)/10*530/(-8) and t?
8
Let k = 84644 - 346967/4. Let o = 2113 + k. Calculate the common denominator of -17/10 and o.
20
Suppose -3*o - 12 = 0, -5*x + 22 + 17 = 4*o. Suppose g = -2*r - 7, r + r + 2*g = -8. Find the common denominator of 103/10 and r + 4 + x/(-2).
10
Let b = -11 + 27. Find the 