
Let o(w) = -w - 4. Let c be o(-6). Suppose -2*s = 3*s - c*i, 0 = -4*s + 3*i. Suppose 2*l - 4*l + 16 = s. What is the least common multiple of 8 and l?
8
Let o = -933 - -15846/17. Calculate the common denominator of 2*((-118)/40 - -2) and o.
170
Suppose 14 = -6*a + 98. What is the lowest common multiple of a and 2?
14
Let q = 1 - 7. Let i be 0 - 135/q*478. Let m = i + -172161/16. What is the common denominator of 73/8 and m?
16
Let c be ((-7)/14)/((-237)/24). Let i = -3539/316 - c. Calculate the common denominator of i and (-3)/15*(-415)/(-2).
4
What is the common denominator of ((-29)/(2030/(-28)))/((-32)/158) and -81/10?
40
Let v = -2391/4 + 593. Calculate the common denominator of v and 8/2*(8 + 341/(-88)).
4
Let u be (2 + 6/3)*2. What is the common denominator of (-14 + u)/(5/1) and -15/11?
55
Suppose 5*c + 121 = 7*c + 3*g, -320 = -5*c - 4*g. What is the lowest common multiple of c and 20?
340
Let l be 86*(20/(-8) - -3)*1. Suppose 5*z - l = 62. What is the least common multiple of 18 and z?
126
What is the common denominator of 68/69 and (-2)/(120/428)*(-18)/126?
2415
Let d(x) = 13*x - 271. What is the least common multiple of d(30) and 14?
238
Let n(o) = -o**2 + 3*o + 163. Suppose -12 = -5*u + 2*u. What is the least common multiple of n(14) and u?
36
Find the common denominator of 1788/(-72) + 4 + 0 - -4 and -70/363.
726
Let k = -19393/6 - -1710781/528. Let j = -128/11 + k. Calculate the common denominator of j and 53/16.
16
Let i be ((-631)/42 - 1)*-1. Let g = i + -83/7. Let u = 7080 + -77936/11. Calculate the common denominator of g and u.
66
What is the common denominator of 93/20 and ((-11)/44 - -1) + 38/(-10)?
20
Let s = -6 - -2. Let i = 2 - s. Suppose -76 + 10 = -i*b. What is the smallest common multiple of b and 1?
11
Let l = -11 + 24. Suppose -4*g + l = 2*w - 3*w, 4*g - 23 = 3*w. What is the smallest common multiple of (-12)/(-2)*(-20)/w and 2?
24
Let j = 219 - 78. Let s = -123 + j. Calculate the least common multiple of s and 2.
18
Calculate the common denominator of 2/(-2) - 182/24 and ((-82)/12)/(2 + 8/24).
84
Let x = -1863 + 1883. Calculate the lowest common multiple of 270 and x.
540
Calculate the least common multiple of (-8 - 108/(-30) - -4)*-220 and 308.
616
Suppose -5*t - 2*g = -46, -3*t + 3*g = -2*g - 40. Let y = -12 + t. Calculate the common denominator of y/12 - 134/(-30) and -87/10.
10
Let s be 0/(4/2) - -7. Suppose -z + 1 = 3*a - 2*a, 2*a - 2*z - 2 = 0. Suppose 3*c + a = s. What is the lowest common multiple of 8 and c?
8
Let n = 3/583 + 5205/8162. Suppose -4*i + 50 = 2*s, 2*s = -0*s - i + 35. Calculate the common denominator of (s/20)/((-36)/(-220)) and n.
84
Calculate the smallest common multiple of (-263)/(-6) + 2/12 and 24.
264
Let w(i) = 9*i**2 + 2*i - 1. Let l be 10/(-5) - (0 + -6). Suppose -9 = -3*a - 2*f, -2 = l*a - f - f. What is the smallest common multiple of a and w(1)?
10
Let h = 64592783/176082 + -6/29347. Let g = h + -377. What is the common denominator of 5/16 and g?
48
Suppose -2*l + l - 4*d = 55, 3*l + 2*d + 125 = 0. Let k = -47097/16 + 2948. Calculate the common denominator of (-6)/(-32)*l - -3 and k.
16
Let n be (10/4)/((-3)/(-19704)). Suppose 2*o = 5*u + o - 16445, n = 5*u + 4*o. Let h = -26341/8 + u. Calculate the common denominator of -115/6 and h.
24
Let t = 4625111/824 + -5613. Let o = -929/1648 - t. Calculate the common denominator of o and 47/2.
16
Let l = 1403/9 - 13727/90. Find the common denominator of l and -91/48.
240
Let i = 4 + 14. Let q(z) = z**3 + 4*z**2 + z + 6. Calculate the least common multiple of i and q(-4).
18
Suppose -i = 4*z - 616, -17*z - 2*i = -13*z - 612. Calculate the smallest common multiple of z and 55.
1705
Suppose h = -h + 60. Let q(l) = -3*l**2 + 57*l - 160. Calculate the least common multiple of q(15) and h.
60
Suppose 0 = -11*h + 491 + 4. What is the least common multiple of h and 165?
495
Suppose 140 = -t + 43. Let p = 102 + t. What is the lowest common multiple of 74 and p?
370
What is the smallest common multiple of (54/(-8))/(((-91)/112)/13) and 84?
756
Let a = 4910/7 + -702. Calculate the common denominator of a and -83/10.
70
Let p = 571147/44 + -12980. Find the common denominator of p and -97/56.
616
Suppose 4*p = -x + 559, 4*x - 3*p = -2*x + 3327. What is the lowest common multiple of x and 9?
1665
Let k = 929 - 2120. Let u = k - -21487/18. Find the common denominator of u and -59/26.
234
Let o(k) = 10*k - 9. Let z be o(6). Suppose 69 = 4*s - z. Suppose -4*f = -f - s. What is the smallest common multiple of 6 and f?
30
Let v be (-30)/(2 + 151/(-74)). What is the smallest common multiple of v/68 - 2/(-17) and 1?
11
What is the common denominator of 50088/(-9576) - (-7 - -2) and 139/18?
2394
Suppose 122 = 6*h - 196. Let k = 81 - h. What is the lowest common multiple of k and 12?
84
Let r be (-2 + -3972)/(6 + -4). Let l = r + 8033/4. Calculate the common denominator of l and 103/10.
20
Suppose z = -2*z + 192. Suppose 0 = -7*f + 3*f + z. Suppose -2*q - 5*p + 34 - 1 = 0, -4*q - 5*p = -61. Calculate the least common multiple of f and q.
112
Find the common denominator of (-5 + (-188)/(-24))/(-1) and 91/4.
12
Let y(i) = -i**2 + 7*i - 5. Let s be y(6). Let g be (s - (3 - 1))*-12. What is the common denominator of 1 - (-17)/g - 0 and -127/12?
12
Let d be (2 + 8)*442/8. Let v = -538 + d. Find the common denominator of -12 - (14 - 16)*3/8 and v.
4
Let f be (11/11)/(1/(-15)). What is the common denominator of 101/26 and (f + (2 - 2))*176/(-576)?
156
Let y = -4281961/588366 - 2/32687. Let k = -228/311 + 39081/6220. What is the common denominator of k and y?
180
Suppose -11*o + 3*t = -16*o + 251, -4*o + 3*t = -217. What is the least common multiple of o and 10?
260
Suppose 0 = 4*s - 2 - 22. Let y(v) = 85*v**2 + 1. Let j be y(1). Suppose 5*o - 44 = j. Calculate the smallest common multiple of o and s.
78
Let v = 15 - -3. Let z(n) = -n**3 - 5*n**2 + 2*n - 18. Let p = 98 + -104. What is the smallest common multiple of z(p) and v?
18
Let i = 27349/30 - 2755/3. Find the common denominator of i and ((-24)/(-20))/((-165)/(-225)).
110
Find the common denominator of 29/48 and 316/72 + (-2 + -2 - -2).
144
Let l = 105/16 + 123/16. Let r be (205/12)/(-1) - 1. Let b = r + -21/4. What is the common denominator of b and l?
12
Let c = 5249 - 803101/153. Find the common denominator of c and -26/63.
1071
Suppose 2*q - 6*q = -80. Let w(z) = -27*z - 59. Calculate the smallest common multiple of q and w(-3).
220
Let o = 69 + -85. Find the common denominator of 16/23 and 206/o*(-36)/27.
138
Suppose -33*q = -38*q + 5. Let b(o) = -o**3 + 7*o**2 - 2. Let f be b(4). Suppose -5*v - q = -f. Calculate the least common multiple of v and 8.
72
Suppose 0 = 5*k + z - 303, -2*z = k - 2*k + 54. Find the common denominator of (k/36)/(14/12) and (-25)/(-2)*(5 + (-51)/9).
21
Let j(r) = 7*r**2 - 5*r + 5. Let f be j(2). Suppose 0*q - 4*q + 5*y = -119, -y = q - f. What is the common denominator of -28 and (-2 - -4)/(8/q)?
2
Let a be (9/(-5) - -2) + 234/5. Suppose 0 = 5*d - 48 - a. Calculate the least common multiple of d and 6.
114
Let l = -4189 + 50125/12. What is the common denominator of 70/27 and l?
108
Let p = 6850/27 + -97133/378. Find the common denominator of -115/14 and p.
42
Let s(r) = 144*r - 858. Let o = 6 - -4. What is the least common multiple of o and s(6)?
30
Let d = -284777/12118 - -2/6059. Let n be 4/6 + (-38)/(-18). Let s = n + -199/198. What is the common denominator of s and d?
22
Let g = 314 + -311. What is the smallest common multiple of g and 111?
111
Let s = 90/749 + 88469/17976. What is the common denominator of 91/30 and s?
120
Let o(j) = j**3 - 9*j**2 + 22*j. Calculate the smallest common multiple of 42 and o(7).
168
Suppose -358 = -g + d + 4*d, g = -d + 364. Suppose 3*t + 4 - 10 = 0, -2*u + 10 = -3*t. Calculate the least common multiple of g/77 + (-2)/(-7) and u.
40
Let f = 11 - 13. Let t be (-7)/(21/(-6)) - f. Find the common denominator of -79/4 and (-18)/(2/22*t).
4
Suppose 9332 = 105*l - 6628. What is the lowest common multiple of 32 and l?
608
Let j = 2509/162 + 28/81. What is the common denominator of j and (-5)/(-90) - 636/1080?
30
Suppose -5*k + 9 - 109 = 0. Let c(a) = 6*a + 36. Let w be c(-8). Calculate the lowest common multiple of (w/15)/(2/k) and 1.
8
Let l = 494