2
Let o = 7 + 2. Let a be 6/o*(-9)/(-2). Suppose a*d - 2 = 2*d. Calculate the least common multiple of d and 20.
20
What is the common denominator of 107/38 and (-1 + -1)*((-38)/(-24))/1?
114
Let z = -132552/731 + -8/2193. Let n = z + 159. Find the common denominator of n and 8/20 - (-767)/(-30).
6
Let b = -124 - -126. Calculate the least common multiple of 17 - (1 - 2)/1 and b.
18
Let p be ((-1)/3)/((-3)/9). Suppose -3*u - u + 12 = 0. What is the common denominator of 2/3 and p/2*46/u?
3
Let s = 11491/7 + -1635. What is the common denominator of s and -1*3 - 336/(-49)?
7
Let w = 57/65 + 51/13. Calculate the common denominator of w and -65/9.
45
Let v(i) = -i**2 - 4*i - 3. Let m be v(-4). Find the common denominator of m + 154/12 + -1 and 2 - 1 - (-33)/4.
12
What is the lowest common multiple of (-1 + 21)*((-16)/(-10) + 0) and 10?
160
Let c(r) = -3*r**2 + 4*r - 4. Let h be c(5). Let a = -10367/20 + 519. Find the common denominator of -2*1 - h/18 and a.
180
Suppose -3*v - 4*i = -29, 0 = 2*v - 4*i - 1 - 45. Calculate the smallest common multiple of 30 and v.
30
Suppose 5*g = -0*g. Suppose g*w = -2*d - w + 11, 0 = -3*w + 9. Suppose 5*x = d*h - 44 + 101, 3*h - 36 = -5*x. What is the least common multiple of 4 and x?
36
Let n = -263719 + 7913113/30. Let m = n - 29/15. Calculate the common denominator of m and 53/8.
8
Let c = -16 - -28. Suppose -5*y - 4*w + 102 = 0, 7*y + 2*w = 2*y + 106. Calculate the smallest common multiple of c and y.
132
Let w(t) = -t**3 - 27*t**2 - 28*t - 36. What is the lowest common multiple of w(-26) and 8?
16
Suppose 5*s - 50 = -0*s + 2*u, -3*u = s + 7. Suppose 0 = 4*p - 30 - 10. Calculate the least common multiple of p and s.
40
Let k = -19/68 - -1655/204. Find the common denominator of -49/16 and k.
48
Suppose -4*s + 4*y + 120 = -0*s, 150 = 5*s - 2*y. What is the lowest common multiple of 27 and s?
270
Let y = -1417 + 15597/11. Calculate the common denominator of y and 91/8.
88
Let j be (-9)/(9/3) + 17. Let g = 17 - j. Calculate the least common multiple of g and 3.
3
Let i be 11101/21 - 20/70. Let o = i - 31823/60. Let a = -5830 - -128199/22. Calculate the common denominator of o and a.
220
Let t be 4/(-6) - 186/(-9). What is the lowest common multiple of 4 and (8/(-10))/((-1)/t)?
16
Let h be 180010/(-66) - (-5)/15. Let u = 2729 + h. What is the common denominator of 83/8 and u?
88
Let z be 2 + (-1 - -2)/1. Suppose 0 = -z*i + 25 + 35. Calculate the lowest common multiple of 6*1/((-1)/(-2)) and i.
60
Suppose -14*p + 124 = -184. What is the smallest common multiple of 54/4 + 1/2 and p?
154
Let z be 2 + -5 - -6*1. Suppose -z*a + 14 = -4*s, s = -3*a - 4 + 38. What is the lowest common multiple of 6 and 2/10 + 108/a?
66
Let v = 72077/8 - 8998. What is the common denominator of -35/2 and v?
8
Suppose -7 - 9 = -q - 4*d, -18 = -3*q - 2*d. Calculate the lowest common multiple of 24 and q.
24
What is the common denominator of (105/(-12))/(-5) - 2 and 53/(-6) + -1 + 1?
12
What is the lowest common multiple of (-6)/(-4)*352/24 and 12?
132
Let o(f) be the third derivative of -f**6/120 - 7*f**5/60 - f**4/3 - f**3/6 + 2*f**2. Let k = 14 + -3. What is the least common multiple of k and o(-6)?
11
Suppose 5*s - 2*n - 46 = 0, -2*s + 7*s - 25 = -5*n. Let m be 3/(18/s + -3). What is the common denominator of 67/14 and m/22 + (-150)/(-44)?
154
Let i(r) = 13*r - 11. What is the least common multiple of 2 and i(5)?
54
Let y = -63/2 + 32. Calculate the common denominator of y and -83/8.
8
Suppose -9*l = -67 - 113. What is the least common multiple of 32 and l?
160
Let g = 2/2497 + 207235/19976. Find the common denominator of (-4)/20 + (-173)/10 and g.
8
Let x = 20 + -8. Calculate the lowest common multiple of x and 18.
36
Let o(m) = -m**3 - 6*m**2 - m. Calculate the lowest common multiple of o(-6) and 30.
30
Let y(j) = 75*j**2 + 12*j - 6. Let d be y(6). Let t = d - 44155/16. What is the common denominator of 89/4 and t?
16
Let f = 10 - 2. Let p(h) be the first derivative of h**2/2 + 2*h - 3. What is the lowest common multiple of p(0) and f?
8
Let z = -49 + -29. Calculate the common denominator of (1 - 1) + z/(-21) and 4/(-6) - (-93)/(-18).
42
Let i = 0 - 1. Let n = -10/683 - 37485/5464. What is the common denominator of n and (i/(-12))/(4/328)?
24
Let t(o) = 8*o - 1. Let m be t(3). Let a = m - 16. Calculate the least common multiple of a and 3.
21
What is the least common multiple of 6 and (3/(-4))/(93/24 + -4)?
6
Suppose -2*r + 26 = 4*y, 2*r - 28 = -5*y + r. Calculate the lowest common multiple of 3*y/(45/48) and 14.
112
Let b = -22365/2146 + 294/29. Calculate the common denominator of 41/14 and b.
518
Let g = -1/41 + 872/451. Let w(u) = -43*u - 1. Let k be w(1). Calculate the common denominator of g and (-50)/6*(-11)/k.
132
Let q = -2/15765 - -1403101/126120. Let n = -1829 + 14685/8. Calculate the common denominator of q and n.
8
Let w(r) = -2*r + 58. Calculate the lowest common multiple of w(13) and 2.
32
Let w = -2/135 - 1469/1080. What is the common denominator of -8/7 and w?
56
Let p = 130/369 - -104/41. Let b be 33900/(-132) + 4/(-22). Let s = b + 2117/8. Calculate the common denominator of s and p.
72
Let x = 88 - 83. Calculate the lowest common multiple of 8 and x.
40
Let k(l) = -190*l**2 - 5*l - 2. Let n be k(4). Let v = n - -24527/8. What is the common denominator of -13/3 and v?
24
Let s = 261 - 507/2. Calculate the common denominator of s and 39/5.
10
Let w = -5 - -30. Suppose -4*a = -w + 1. Calculate the smallest common multiple of 10 and a.
30
Suppose 2*u = -5*m + 45, -3*m - 19 = 2*u - 54. Calculate the least common multiple of 18 and u.
90
Let a = 532/43457 + 11728294891/869140. Let t = a - 13490. Calculate the common denominator of t and 87/20.
20
Suppose 3*g - 10 - 2 = 0. Suppose n = g*n - 12. Let y(r) = r**3 - 10*r**2 + 10. What is the smallest common multiple of y(10) and n?
20
Let r = 805/2 + -354. Calculate the common denominator of (0 - (-3 - -6))/(-9 - 11) and r.
20
Suppose 0 = -4*s + 7*s - 45. Find the common denominator of -109/14 and 171/s*10/16.
56
Suppose -4 = 2*q - 3*q. Suppose -b - 48 = -q*b. Calculate the lowest common multiple of 20 and b.
80
Let o = 31 + -16. Calculate the common denominator of 2 + (-5)/(o/(-78)) and 50.
1
Suppose 1 = 2*a + 11. Let z = -4 + a. Find the common denominator of 51/10 and (-70)/(-18) - 2/z.
90
Calculate the common denominator of -49/4 and (6/40)/((-6)/452).
20
Let t(f) = 2*f**3 - 1 - f + 8*f**3 + 3. Let b be t(2). Suppose 4*p + p - b = o, -4*o = 0. Calculate the least common multiple of 18 and p.
144
Suppose -4 = -2*y - 0*y. Let r be 0/1 + -8 + 20. Let x = r - 2. What is the smallest common multiple of y and x?
10
Suppose -a = 1 + 2. Find the common denominator of -1 - 129*a/30 and 2 + 13*(-3)/2.
10
Calculate the lowest common multiple of 36 and (65/(-20))/(-13) + (-382)/(-8).
144
Let w be 17 - 2*3/(-3). Suppose -3*y - w = -4*y - 3*z, 0 = z + 1. Calculate the lowest common multiple of y and 4.
44
Suppose 0*i - 3*i = 12726. Let a = i + 17055/4. Find the common denominator of a and ((-1)/(-8))/(1/162).
4
Let h = 13 + -3. Suppose 3 = 2*c + 3*a + 1, -5*a - 22 = -3*c. What is the smallest common multiple of h and c?
20
Let s = 2779 + -24986/9. What is the common denominator of (-536)/(-6)*(-10)/(-120) - 1 and s?
9
Suppose 10*z - 13 = 127. Calculate the smallest common multiple of 16 and z.
112
Suppose 4*q + 2 = 2*z, 4*q = -2*z + 11 + 7. Suppose 32 = 3*l + a, 3 - 1 = -q*a. What is the smallest common multiple of l and 1 - 0 - (-1 + -2)?
44
Find the common denominator of (-43)/11 - 1*-2 and 8/(-12) + 59/6.
66
Let u(a) = a**3 - 6*a**2 - 8*a - 1. Let o be u(7). What is the common denominator of ((-82)/12)/(2/(-4)) and (-103)/o + 2 + -3?
24
Let u = 14741 + -324405/22. Let l be (3/(-244))/(27/1341). Let a = l - 1/2196. Calculate the common denominator of u and a.
198
Let s be 52119/2064*(-2)/10. Let x = 1/3440 + s. What is the common denominator of x and 45/22?
220
Suppose -3*d + 13 = -2. Let f = 2 + -2. Suppose -3*z = -f*z - 3. Calculate the smallest common multiple of d and z.
5
Let m(k) = 4*k + 32. What is the lowest common multiple of m(-5) and 3?
12
Let i = -6/49 + -24286/147. Let p = -147 - i. Calculate the common denominator of 8/3 and p.
3
Suppose 40 = -30*c + 35*c. What is the le