 -1/196603 - 1496738633/1179618. Let i(s) = -317*s + 3. Let m be i(4). Let t = d - m. Calculate the common denominator of t and -16.
6
Suppose -3*m + 4*m + 1 = 0. Calculate the common denominator of 87/10 and 0/((-1)/m) + 43.
10
Let b be 18/(-81) + 634/18. What is the lowest common multiple of 12 and b/3 - 2/(-6)?
12
Let x = -6 - -8. Suppose -5*z + 4*z = x, -5*l - 2*z = -96. What is the smallest common multiple of l and 6?
60
Suppose 360 = i + 3*i + 5*w, 2*w = 0. What is the common denominator of 0 - -1 - i/48 and -19/3?
24
Let y = 50019/10 - 5006. Calculate the common denominator of -89/2 and y.
10
Let k be -1*9/(-2 - 1). Let l = 4 - k. Let g(d) = 19*d + 1. Calculate the least common multiple of g(l) and 12.
60
Let x(p) = p**3 + 3*p**2 + p - 3. Let w be x(-3). Let k be w + (0 - (-3 + 0)). Calculate the lowest common multiple of (24/9)/(k/(-9)) and 5.
40
Let g = 285/1591 + -13/111. Let x = 6853/258 - g. Find the common denominator of ((-2)/(32/81))/(-3) and x.
16
Find the common denominator of 65/18 and (5/80*4)/((-22)/116).
198
Let v be -6 + (-1 - -4) + 3. Suppose v*o + 3*o = 24. Calculate the lowest common multiple of o and 3.
24
Let x(p) = -p**3 + 9*p**2 - 6*p + 2. Let m be x(6). Suppose n + 102 = -m. Calculate the common denominator of 23/2 and (-1)/4 + 580/n.
22
What is the common denominator of 5/11 and -25*(-3 + (-7)/(-55)*23)?
11
Let b = 110 + -83. What is the smallest common multiple of 36 and b?
108
Let u = -9 + 0. Let s = u + 13. Suppose -2*a = -s*a + 4. What is the least common multiple of a and 3?
6
Suppose 5*j = 28 - 8. Let z be (2/(-6))/(j/(-24)). Calculate the common denominator of (-23)/33 + z/6 and 58/5.
55
What is the least common multiple of 2 and (3/9)/(4/48)?
4
Suppose -2*j + 25 = 3*j. Let h = j + -3. Suppose 5*t + 2*f - 5 = h*t, -3*t = f - 4. What is the smallest common multiple of 3 and t?
3
Let w be 66/4*4/6. Suppose 2*l - 5*t = 15, 4*l - t - 10 = w. What is the lowest common multiple of 5 and l?
5
Let f be -2*(-3 + 10/4). Let a = f + 3. Calculate the lowest common multiple of a and 5.
20
Let v(u) = -2 - u**2 - 33*u**2 - 14*u**2 - 3*u. Let i be v(-3). Find the common denominator of 2/(-9) - i/(-18) and -11/6.
6
Suppose 2*u = 5*y + 55 + 10, -y + 5*u = -10. Calculate the common denominator of (3/y)/((-12)/(-830)) and 86/(-132) + 4/(-6).
66
Let m = -8735/3 - -2937. What is the common denominator of m and 28/11?
33
Suppose 11 + 1 = -c. What is the common denominator of -47/9 and (-97)/c + (-6)/(-8)?
18
Let j(n) = -n**3 + n**2. Let w be j(1). What is the common denominator of (-57 - w)*4/40 and 47/13?
130
Let k(q) = -q**3 - 3*q**2 + 6*q - 4. Let t = 3 - 8. Calculate the least common multiple of 10 and k(t).
80
Let w = 7785/8 - 979. What is the common denominator of -83/10 and w?
40
Let j = 49/45 + -2302/585. What is the common denominator of 7/6 and j?
78
Let h = -1316 - -5227/4. Calculate the common denominator of h and 5/(-8)*1/(-10).
16
Calculate the smallest common multiple of 19 and (3 - 3) + 4 + -3.
19
Suppose -2*p - 3*p + 5*n + 140 = 0, 0 = 4*p - n - 109. What is the lowest common multiple of 27 and p?
27
Let a be (6/8)/(2/32). Calculate the lowest common multiple of (1/(-3))/((-4)/a) and 4.
4
Find the common denominator of 23/10 - 2/4 and 25/5 - (-20)/(-18)*4.
45
Let g be (4/(-4))/((-2)/16). Suppose -g - 4 = -4*k. What is the common denominator of (-58)/k + (-1 - -1) and 23/2?
6
Suppose 0 = -7*f - 3*f + 70. What is the lowest common multiple of f and 28?
28
Suppose 2*l - 2 - 4 = 0. Suppose 5*y + 2*m = -2*m + 959, -l*y = 5*m - 565. Suppose 5*g - y - 40 = 0. Calculate the common denominator of -51/2 and g.
2
Let o = 15690 - 282563/18. What is the common denominator of (4/(-6))/(56/455) and o?
36
Suppose -3*a = -4*a + 11. Calculate the least common multiple of a and 22.
22
Let d be (1/3)/((-3)/(-90)). Suppose 5*l = -t + 13 + d, -5 = l - 3*t. What is the smallest common multiple of 14 and l?
28
Let i = 7368/337 - 1394993/23590. Let s = i - -277/7. What is the common denominator of -91/2 and s?
10
Let k = -127 + 145. What is the least common multiple of k and 1?
18
Let j = 7135 + -228287/32. Let s = j - -205/96. Calculate the common denominator of ((-1)/(-4))/((-49)/406) and s.
42
Let f = 1 + -1. Suppose 5*a - a - 5*b = 56, -2*a - 3*b + 28 = f. Calculate the smallest common multiple of 48/20 + (-2)/5 and a.
14
Let h = -9 - -14. Suppose -2*y + 16 = -0*v + 3*v, -4*y - 5*v = -28. What is the smallest common multiple of (2/y)/(0 + 1) and h?
5
Let v = 5 - 11. Let w(x) = -x**2 - 6*x - 1. Let r be w(v). What is the common denominator of 61/16 and 99/(-8) - 0 - r?
16
Suppose 6*m = 117 - 21. What is the least common multiple of m and ((-14)/(-1) - -2) + 2?
144
Let f = -2869/3 - -933. Calculate the common denominator of f and -62/5.
15
Suppose 8 = 3*x + 2. Let l = 36 - 12. Suppose -4*p + p = -l. Calculate the lowest common multiple of x and p.
8
What is the smallest common multiple of -2 + (9 - (0 - -1)) and (-2 - (-9)/6)*-20?
30
Let h = -1622/21 - -209/3. Find the common denominator of 97/6 and h.
42
Suppose 3*h = 4*h - 773. Let l = -4317185/5838 + -8/2919. Let w = h + l. Find the common denominator of 16/5 and w.
10
Let u = 2 - -2. Calculate the lowest common multiple of (-27)/(-2) + u/8 and 16.
112
Let q be -16*(2 - (2 + -1)). Let v = 5963/72 - 603/8. What is the common denominator of v and (34/q)/(2/10)?
72
Let r = -14042492 + 67488212011/4806. Let x = r - -1/2403. Calculate the common denominator of x and -137/12.
36
Let r be (-1424)/(-1)*2/(-4). Let q = -1151/500 - -1/500. Find the common denominator of r/32 + (-3)/(-1) and q.
20
Find the common denominator of (-585)/140 - 6/(-8) and 19/11.
77
Let s = 18 + -12. Let p = s + 4. What is the least common multiple of 22 and p?
110
Suppose -3*f + r = -26, 2*r + r = 4*f - 38. Find the common denominator of (-4)/22*1*27 and (-356)/(-10)*2/f.
110
Let h = 10 + -6. Calculate the least common multiple of 10 and h.
20
Suppose -v = 5*u + 21, 0 = 5*v - u - 21 - 4. Calculate the smallest common multiple of v and 6.
12
What is the lowest common multiple of 6 and 161/14 - 6/4?
30
Suppose 3*y = 144 - 54. What is the smallest common multiple of y and 8?
120
Let m(q) = -q**3 - 4*q**2 + q + 5. Let t be m(-4). Let n = -556 - -570. What is the least common multiple of 21*t - (2 + -3) and n?
154
Let w = -66549/8 - -8329. Find the common denominator of w and 75/(3/((-3)/(-4))).
8
Suppose 9 + 3 = 4*b. Suppose q = -2*v + 20, -2*q - 2 = -b*v - 7. What is the least common multiple of 11 and q?
110
Let o = -30 + 52. Calculate the lowest common multiple of 2 and o.
22
Let f = 1241 + -19845/16. Let i(r) = -r**3 + 7*r**2 - 6*r. Let c be i(6). Find the common denominator of f and (-36 + 1)/(c - -4).
16
Let a be (-1)/(-2) + (-13761)/12. Let h = -1135 - a. Find the common denominator of 67/4 and h.
4
Let n = 73 - 64. Calculate the smallest common multiple of n and 11.
99
Let q(d) = 2 + d + 2 + 0*d. Calculate the lowest common multiple of (-2)/(((-1)/(-2))/(-1)) and q(0).
4
Let q = -4/319485 + -1241896/2878879335. Let x = -801923/126154 + q. Let y = 12131/11820 + 14/591. Find the common denominator of y and x.
140
Suppose 3*b + 9 = 27. What is the lowest common multiple of b and 1?
6
Suppose 0 = 5*a - 22 - 3. Suppose 5*d - 5 - 3 = -3*q, a*d = 2*q + 28. What is the smallest common multiple of 11 and d?
44
Let b(l) = l - 5. Let d be b(6). Let s be 0 + (2 - d)*-8. Calculate the common denominator of 39/4 and 788/(-80) - 2/s.
20
Suppose -4*p + 51 = -p. Let z = -12 + p. Suppose z*j - 49 = -9. What is the least common multiple of j and 5?
40
Let r = -131 + 165. Calculate the least common multiple of 28 and r.
476
Let f = 10 - -2. Let i be (-3)/3*(0 + -4). Suppose -l - v = -4*l + 59, i*v = -20. What is the least common multiple of l and f?
36
Let j(p) = -p**3 + 9*p**2. Let c be j(9). Suppose c = 2*r - 0*r - 32. What is the lowest common multiple of r and 8?
16
Let g(p) = -p**2 + 10*p - 5. Suppose 0*l + 14 = 2*l. Calculate the smallest common multiple of 6 and g(l).
48
Let x be ((-24)/(-20))/((-1)/30). Let n be (4 + -3)/(2/x). What is the least common multiple of 8 and 492/27 + 4/n?
72
Let b(f) = -11*f - 1. What is the lowest common multiple of 2 and b(-1)?
10
Suppose 0 = -2*y + 7*y - 10. Suppose -y*t + 105 - 9 = 0