Let g = 22 + -13. Let a = -1264 - -1266. What is the lowest common multiple of g and a?
18
Let c = -17 + 23. What is the lowest common multiple of (7/(-1))/(-6 - (-369)/63) and c?
294
Find the common denominator of 674/(-320) - (-7 + 68/10) and 143/24.
96
Suppose -4*s + 5*c + 2461 = 0, -s - c + 629 = -5*c. Calculate the common denominator of -59/15 and (((-16)/(-66))/(14/s))/6.
165
Let z be ((-216)/(-8))/(6/4). Let b = z - 0. What is the lowest common multiple of 15 and b?
90
Let n = 6974 + -62828/9. Let l = -9 - -15. Find the common denominator of n and (-134)/l + -2 + 2.
9
Let h be (-1226)/8*(10*-3 - -2). Let o = -25669/6 + h. What is the common denominator of 8/7 and o?
42
Let s = -128 + 164. What is the least common multiple of 196 and s?
1764
Let k(l) = 27*l - 1. Let m be k(-1). Let s = 32 + m. Calculate the least common multiple of 2 and s.
4
What is the common denominator of (-217)/24 + 14/21 and 97/280?
280
Suppose 4*n = 5*c - 0*c - 17, 2*n + 2 = -4*c. Suppose 6*x - 45 = 5*x. Suppose -2*k + x = 3*k. Calculate the smallest common multiple of k and c.
9
Let p(w) = w - 2. Let t be p(3). Find the common denominator of (-30)/45 + 130/36 and 1/t*505/(-60).
36
What is the common denominator of 2 + (-831)/294 - (-12)/8 and 12?
49
Suppose -4*m = 17 - 237. Find the common denominator of m/6 - ((-10)/4 + 3) and 43/18.
18
Let m = 24 + -25. Calculate the common denominator of -26 and m/(-1)*246/30.
5
Suppose 26 - 16 = 5*s. Suppose s*x + 29 = 2*z + 3*x, 2*x = -5*z + 70. Calculate the lowest common multiple of 14 and z.
84
What is the common denominator of 1/(-2) + 2825/(-1750) and -16/21?
105
Let b = 330881/7 - 47368. Let v = b + 18688/189. What is the common denominator of 59/5 and v?
135
Let f(x) = x**3 + 30*x**2 + 33*x + 124. What is the lowest common multiple of 571 and f(-29)?
4568
Let s(t) = -t**3 + 5*t**2 - 5*t + 33. Calculate the smallest common multiple of s(5) and 4/(2 - (-9)/(-6)).
8
Suppose z - 26 = -f + 3*f, -2*z = 2*f + 32. What is the common denominator of 372/(-756) + 4/f and -127/6?
18
Let y(n) = n**3 - 6*n**2 + 10*n - 4. What is the lowest common multiple of 316 and y(1)?
316
Let j = 30 + -30. Suppose j = -y + u + 1 + 16, 5*y = -2*u + 120. What is the lowest common multiple of 32 and y?
352
What is the common denominator of 2/132*9/9*-4 and 46/195?
2145
Suppose -2*b = -6 - 6. Calculate the smallest common multiple of b and 12.
12
Let y = -254 + 404. Calculate the lowest common multiple of 90 and y.
450
Suppose 0 = -4*i - 2*p - 24, -p = 4*i + 19 + 1. Calculate the common denominator of (-202*i/(-12))/(-4) and -71/10.
30
Let k(o) = 12*o - 5. Let b be k(4). Suppose 45*r = b*r + 8. Calculate the least common multiple of r and 7.
28
Let w = -479 + 219. What is the lowest common multiple of 12 and (w/25)/(-4) - (-6)/(-10)?
12
Let o = 16545 + -297949/18. Let g = 2/5867 - 82192/158409. Find the common denominator of o and g.
54
Find the common denominator of 2/12 + (-520)/(-60) and -77/30.
30
Let v be (7/(-3) - 0)*3. Let r(k) = 9 - k**3 - 15 - 6*k - 7*k**2 + 4*k. Calculate the least common multiple of r(v) and 16.
16
Let x = 2 - 0. Suppose 12 = 2*b + 2*b. Calculate the smallest common multiple of (b - (-4)/(-2))*2 and x.
2
Suppose -7 + 12 = -5*i. Let v be (-963)/(-4) + i + 0. Let b = 249 - v. Find the common denominator of b and -9/2.
4
Let j = -14 + 20. Let x(q) = 2*q - 20. Let h be x(12). Suppose -7*z + 50 = 4*y - 2*z, -h*y = 3*z - 46. Calculate the lowest common multiple of y and j.
30
Let t = -13183/14 - -941. Let g = -40 + 12. What is the common denominator of 16/g - (-3 - (-2841)/210) and t?
70
Let r = 3886 - 35047/9. Suppose -3*i + 14288 = 5*w, -i + 8573 = 3*w + i. Let h = w - 14342/5. What is the common denominator of h and r?
45
Suppose -3*m = -7*p + 4*p - 1755, -2*p - 1166 = -m. What is the common denominator of ((p/(-84))/((-2)/(-8)))/6 and 7/6?
18
Let u = -16068330/175351 - 18/15941. Let q = 5003/66 + u. What is the common denominator of 85/4 and q?
12
Let l = 3759088/361 + -10413. Calculate the common denominator of l and -53/76.
1444
Find the common denominator of -91/110 and ((-1032)/66 + 9)/(-2).
110
Let n be (-4)/(-3)*(-117)/6. Let s = n + 34. What is the lowest common multiple of 4 and s?
8
Let z be (-4)/3*3/(-2). Let r be ((-3)/(3/(-2)))/1. Suppose -2*f + 53 = z*f + 3*i, 0 = f + r*i - 12. What is the smallest common multiple of f and 8?
56
Let u be (-6 - -21)*(-2)/(-5). Let h = -2 - -24. Calculate the lowest common multiple of h and 180/40 - u/(-4).
66
Let y be 1 + -2 + 3684880/15333376. Let o = 14/7487 + y. Calculate the common denominator of 43/16 and o.
128
Let t = -1214 + 3682/3. Find the common denominator of 50/3 + -2 - 0 and t.
3
Let o(h) = 446*h**3 + h**2 + 2*h + 1. Let w be o(-1). Let g = -1352 - w. Let u = g + 10883/12. What is the common denominator of 85/6 and u?
12
Suppose -3*y - 5*k + 4*k = -56, -5*y - 4*k = -98. What is the least common multiple of y and 140?
1260
Suppose 0 = -j - 3*j + 72. Suppose 9*f + j = 11*f. Suppose 0 = -5*p + 4*p + 6. Calculate the smallest common multiple of f and p.
18
Suppose -5*f = 25, 6*w - 3*f = 9*w - 39. What is the common denominator of -23/3 and (15/w)/(7/(-28))?
3
Let f(z) = -9*z + 66. Let i be f(7). What is the common denominator of 1/(-22) + (-3)/i and 67/20?
220
Suppose -v = -2*v + 20. Calculate the least common multiple of v and 855/38 - (-4)/(-8).
220
Find the common denominator of ((-2020)/(-1080))/(2/3) and -8/195.
2340
Calculate the smallest common multiple of 22 and (-940)/282*(-3138)/10.
11506
Let n be (-30524)/1608*(0 - 1). Let k = -16/2143 - -123223/143581. Let p = n + k. Find the common denominator of p and 145/6.
6
Find the common denominator of ((-1)/3)/((-8)/(9 + -13)) and -52/183.
366
Suppose 3*c - 2*c = -5, -4*g - 3*c - 6547 = 0. Let h = -9853/6 - g. Calculate the common denominator of h and 78/(-20)*7/(-3).
30
Suppose -3*k = -4*p + 14, -5*k - 20 = -2*p - 3*p. Calculate the common denominator of (-10)/4*(-38)/30 and 20/(-50)*(231/(-32) + k).
48
Suppose 5*a + 3519 - 3559 = 0. Let z be (2/(-3))/(3/(-81)). Suppose 0 = -u - 2*u - b + z, 0 = 2*u + 5*b + 1. What is the least common multiple of a and u?
56
Let f = 97 + -55. Let r = -72 + f. Let d = 44 + r. Calculate the lowest common multiple of d and 12.
84
Suppose 13*i = 294 - 8. Suppose 0 = 2*q - w - 25, -2*q - 3*w + 7 = -14. Let l = q + 6. Calculate the lowest common multiple of l and i.
198
Suppose -2*k = -5*k + 6. Suppose j + k = -6. Find the common denominator of 75/2 and (6/(-135))/(j/(-1030)).
18
Let z(y) = -y**3 - 3*y**2 - 2*y + 6. Calculate the least common multiple of 66 and z(-3).
132
Let q = 19 + -8. Suppose 0 = -2*o - 5*g - 19 + 84, 3*g - 102 = -3*o. Suppose 0 = -5*p - 0*p + o. Calculate the smallest common multiple of p and q.
77
Let v = 25187/60 + -2521/6. Find the common denominator of v and -43/72.
360
Suppose -4*q - 3*o + 63 = 0, 27*o = -5*q + 29*o + 96. Calculate the least common multiple of q and 11.
198
What is the smallest common multiple of 264 and ((-44)/(-6))/(5 - 267/54)?
264
Let u = 3 - -2. Let i = u + -4. Let o(d) = -d**3 - 3*d**2 + 24*d + 83. What is the smallest common multiple of i and o(-3)?
11
Let r = 12 + -15. Let w be 11 + 4/r*-3. Let q = 5 + w. What is the least common multiple of q and 18?
180
Let r(i) = i**3 - 5*i**2 + 3*i - 9. What is the least common multiple of 8 and r(5)?
24
Suppose -5*v + 280 = b, 5*b - 1496 = -3*v + 2*v. What is the smallest common multiple of 550 and b?
3300
What is the common denominator of 1*(-1)/3*((-1184)/(-88) + -9) and 34/(-4)*(-4)/54?
297
Let h = 227/56 - 37/8. Let g be (-4)/(-14) + (-96342)/(-70). Let r = g + -1387. Calculate the common denominator of h and r.
35
Let q = 949 - 883. Calculate the lowest common multiple of 66 and q.
66
Let n = -31/36 - 743/252. Calculate the common denominator of n and (-3)/(-2)*(-548)/(-72).
84
Suppose 0 = -5*h + h + 2*k + 78, -2*h - 4*k = -24. Calculate the lowest common multiple of h and 51.
306
Let p be (1 - 6) + (19 - 18). What is the common denominator of 8/9 and p/((-720)/115)*15?
36
Let q = 256 - 242. What is the smallest common multiple of q and 2?
14
Let v be 2/12 - 1/((-6)/(-5911)). Find the common denominator of 71/15 and 0 + (-1 - -5) - v/(-285).
285
Let t = -14393/47340 + -2/1315. What is th