 Let u be ((-3)/q)/(-1)*1. Calculate the common denominator of (u/4)/((-105)/1064) and -83/2.
30
Let z = -12997/6 - -2161. Let h = 17/60 - z. Calculate the common denominator of 55/8 and h.
40
Let q = 123/11 + -2269/198. Calculate the common denominator of q and -3 + 3 + (-58)/(-4).
18
Let m = 9490 + -170879/18. Let k = -6131423/966 - -140837/23. Let h = -1727/7 - k. What is the common denominator of m and h?
18
Find the common denominator of (1/(-8))/(14/472) and -29/8.
56
Let s = -520 - -2613/5. Let k(q) = -4*q**2 + 2*q + 2. Let l be k(4). What is the common denominator of s and 687/l - (-4)/18?
10
Suppose 0 = 4*y - 28 - 44. Let n(z) = -z**2 + 3*z - 3. Let b be n(4). Let h = 11 - b. Calculate the least common multiple of y and h.
18
Let b = 176053/18 + -9789. Find the common denominator of 95/6 and b.
18
Let f = -2/329 + 1007/3290. Suppose -j + 3*i + 5 = -6, -3*i = 2*j + 23. What is the common denominator of (-122)/(-10)*10/j and f?
10
Suppose -3*h = -8*h + 110. Suppose 2*k = 1 + 7. What is the smallest common multiple of h and k?
44
Let q(n) = -n**2 + 12*n + 2. Calculate the lowest common multiple of q(12) and 4.
4
Suppose -4*m = -5*m + 6. Suppose -3*t = -m*t. Suppose t*h + h = 18. Calculate the smallest common multiple of 2 and h.
18
Let s(b) = 2*b - 12. Let d = 69 - 22. Suppose 0 = 5*v - q - 44, 5*v - 4*q = -6*q + d. What is the least common multiple of 2 and s(v)?
6
Let y(o) = 12*o**2 + 5*o + 4. Let s be y(-3). Let p be 3/(-6) + s/136. Let r = 7275/952 - p. What is the common denominator of r and -43/2?
14
What is the lowest common multiple of ((-11)/(-3))/((-2)/(-12)) and 14?
154
Let k(n) = -8*n + 2. Let w be k(2). Suppose 4*q + 8 + 2 = 2*p, 3*p = -2*q + 7. Calculate the least common multiple of p and 260/28 + 4/w.
9
Suppose -4*n + 19 = -x, -n + 4 - 2 = -3*x. Calculate the least common multiple of n and 10.
10
Suppose -5*s - 235 = 5*t, 3*t + 8*s - 3*s = -137. Find the common denominator of t and -97/10.
10
Let a = -1/150 - 217/1200. Find the common denominator of a and -89/2.
16
Let r(s) = s**3 + 3*s**2 + 2*s + 3. Let j be r(-2). What is the common denominator of (-87)/27*3/j and -55/3?
9
Let d = -3 - -3. Suppose 9*i - 4*i - 115 = d. Calculate the least common multiple of 14 and 5/20 - i/(-4).
42
Let a be (1/(-3))/((-4)/8718). Let p = -683 + a. Calculate the common denominator of -59/2 and p.
2
Let v = -897 - -60993/68. Let q = v + -551/34. Find the common denominator of q and -1/6.
12
Let d = -5019/88 + 527/11. Let j = -4822/615 + 5/123. Calculate the common denominator of d and j.
40
Suppose 2*z + 0*z - 10 = 0. Let s = -6 + z. What is the least common multiple of 20 and s - (-9)/(-6)*-6?
40
Let s(r) = -r**3 - 10*r**2 - 3*r - 22. What is the lowest common multiple of s(-10) and 6?
24
Suppose 0*w + 18 = w. Suppose 3 = -3*d + w. Suppose 0*m - 80 = -d*m. What is the lowest common multiple of 22 and m?
176
Suppose -4*p + 1 = -15. Suppose -24 = -b - p. What is the lowest common multiple of 8/44 + (-196)/(-11) and b?
180
Suppose -q + 12 = -10. Suppose 0 = -5*b + 5*n + 45, -1 - 2 = 3*b + 3*n. What is the lowest common multiple of q and b?
44
Let p = -102/11 + 104/11. What is the common denominator of p and 77/12?
132
Suppose -3*t + 2*t = -20. Suppose 5*q - t = 0, a + 3*q = 5 + 11. Suppose 17 = a*d - 7. What is the smallest common multiple of 6 and d?
6
Let i = -34831/62 - -646922/155. Let d = 3617 - i. Let r = -509/2 + 2481/10. Calculate the common denominator of d and r.
10
Suppose 6 - 2 = 2*t. Let x = 4 - t. Let i(y) = 7*y - 13. Calculate the least common multiple of x and i(5).
22
Suppose 6*z = 31 + 53. What is the smallest common multiple of 2 and z?
14
Let d = 1074 + -753. Find the common denominator of d/(-18) - (-4)/(-2) and (-13)/26 + 142/(-44).
66
Let g(l) = -l - 11. Let z be g(-6). Let j = 15 + z. Calculate the smallest common multiple of -11*4/((-2)/1) and j.
110
Let c = -2/20647 + 2250551/289058. Calculate the common denominator of -101/6 and c.
42
Let t(u) = -2*u + 4. Let w = -20 + 22. Suppose -80 = w*p - 7*p. Calculate the least common multiple of t(-5) and p.
112
Let n(b) = -3*b**2 + 69*b + 18. Calculate the smallest common multiple of 30 and n(23).
90
Suppose -2*k + 31 = -k. Suppose -o = k - 10. Find the common denominator of -121/20 and ((-381)/21)/((-36)/o).
60
Let l(u) = 3*u**2 + 1 - u + 3*u + 0*u - u**3. What is the least common multiple of l(3) and ((-4)/6 - 2)*78/(-52)?
28
Let y(r) = -r + 1. Let s(d) = -d. Let t(g) = 4*s(g) - 3*y(g). What is the least common multiple of t(-5) and 2?
2
Suppose 70 = 43*y - 38*y. Calculate the lowest common multiple of 14 and y.
14
Suppose 0 = -4*z + 10 + 6. Let t be 19623/(-12) - 3/z. Let g = t - -13153/8. Calculate the common denominator of -53/11 and g.
88
Let x(o) = o**2 - o - 4. Let k be ((-26)/(-8) + -2)*4. Let n be x(k). Suppose -3*c - 2*d + n + 20 = 0, 3 = -d. What is the smallest common multiple of c and 2?
14
Let b be (1/2)/(4/(-32)). What is the common denominator of -23/5 and (4/18)/(b/453)?
30
Let d = -1/6286 + 171296/15715. Calculate the common denominator of d and -37/18.
90
Let b = -4 + 7. Suppose -2*u - b*u = -5. Calculate the least common multiple of 19 and u.
19
Suppose -b + 20 = 3*b. Let u be (8/20)/((-1)/b). What is the common denominator of (-4)/220*(-305)/u and 11/12?
132
Let x = 12/7919 - 54453/20256802. Let t = x + 35186/11511. Let r = 453/80 - 177/20. Find the common denominator of t and r.
144
Let g be 939*1/(-12)*5. Let n = g - -376. Let r = 77161/20 - 3861. Find the common denominator of r and n.
20
Suppose -5*p = -u - 36, 3*p + u - 12 = 4*u. What is the least common multiple of 10 and (12/10)/(p/20)?
30
Let k = 105/4 + -317/20. Let q be (-1)/2*15636/77. Let u = q - -677/7. Calculate the common denominator of u and k.
55
Let x = 2697 + -16273/6. Find the common denominator of x and -55/2.
6
What is the common denominator of (-696)/80 - 2/5 and 0?
10
Let j(b) be the second derivative of -b**4/12 - 4*b**3/3 + 4*b**2 - 2*b. What is the smallest common multiple of j(-8) and 11?
88
Suppose -5*y = -m + 5*m - 51, 0 = 5*y + 5*m - 55. Calculate the lowest common multiple of 1 and y.
7
Suppose -3*w + 7*w = -40. Let f = w - -17. Calculate the smallest common multiple of 0 - -4*(1 - 0) and f.
28
Suppose 5*u = 26 + 44. Suppose -5*q + 16 = -u. Find the common denominator of -29/6 and q/(-15) - 322/120.
12
What is the common denominator of (-116)/6 + (-13)/(26/(-4)) and -47/3?
3
Suppose 0 = k + 2*k - 12. What is the lowest common multiple of 4*-10*(-6)/15 and k?
16
Calculate the least common multiple of 11 and (-1*(-4 - 2))/(27/45).
110
Suppose 10*b - 5*b + 5 = 0, -3*f = -b - 37. Let i = 6 - 5. Suppose j + i + f = -5*h, 5*j - 50 = -2*h. Calculate the least common multiple of j and 10.
60
Suppose 0 = 4*u - 45 - 3. What is the least common multiple of 9 and u?
36
Calculate the common denominator of -99/4 and (-91)/56 + (2 - 2).
8
Suppose 3*n - n = 6. Suppose -5*b - 2*l - n*l = 0, l = -5*b + 20. Suppose 3 = b*m - 37. What is the least common multiple of 9 and m?
72
Suppose -2*g = 5*k - 78, -5*k - 4*g + 75 = g. Suppose 0 = 5*l + a - 23, 3*a = 2*a + 3. What is the lowest common multiple of l and k?
16
Let z be (-26)/(-6) + 2/3. Let r = z - 5. Suppose -8 + r = -h. Calculate the least common multiple of 2 and h.
8
Let k = 10539/11 + -957. Calculate the common denominator of 87/4 and k.
44
Let y be (34/(-3))/((-1)/3). Calculate the common denominator of (-2650)/20*1/30 and y/(0 + 16/(-3)).
24
What is the common denominator of 604/240 + 3 + (-33)/12 and -109/24?
120
Suppose -1 = 2*t - 13. Calculate the lowest common multiple of t and 26.
78
Let z = 48 - -56. What is the lowest common multiple of 8 and z?
104
Let j(f) = -f**2 + 5*f + 1. Let p be j(4). What is the lowest common multiple of (-12 + 0)*p/(-15) and 10?
20
Let q be 3*(-3)/(9/(-6)). Find the common denominator of 1/22 and q/24*(-47)/2.
88
Let x(t) = -12*t - 2. Let n(o) = 20 - 2*o - 7 - 5. What is the least common multiple of x(-2) and n(-6)?
220
Let i = 1/213 - 356/213. Suppose 0*g - 28 = 4*g. Let m = g - -28. What is the common denominator of i and m?
3
Let o(t) = t - 7. Let q be o(7). Let r(s) = s + 3. Let v be r(q). What is the common denominator of 31/2 and (v/(-36))/(2/237)?
8
Let z = -9 - -14. Suppose -3*q - 20 = -7