est common multiple of r and (-4)/6 + 23/3.
14
Suppose -6*j + 27 = -21. What is the least common multiple of 6 and j?
24
Let l = 4/5 + -11/20. Let i = 2/55 + -1709/110. What is the common denominator of l and i?
4
Let n be 10/(-5) + 2/(-2). Calculate the common denominator of (-90)/(-66) + 0/n and (1/5)/(4/(-110)).
22
Let u(m) = m**2 - 6*m. Let t be u(6). Suppose t = q + q - 4062. Let h = -14187/7 + q. Calculate the common denominator of h and 30/7.
7
Let z = 20 + -10. Let f(k) = -3*k - 3. Calculate the smallest common multiple of f(-3) and z.
30
Let g = -461 + 4617/10. What is the common denominator of g and 103/10?
10
Let u be 4/(-14) + (-2705)/(-35). Suppose u = 5*f - 58. Suppose f = 5*w + 3*j, 3*w = w - j + 11. What is the smallest common multiple of w and 6?
6
Let r = 13096 - 6059. Let i be 2/(-8) + (-253507)/(-36). Let j = r - i. Calculate the common denominator of 73/8 and j.
72
Let m(c) be the third derivative of -c**6/120 - 7*c**5/60 - 3*c**4/8 - c**3 - 2*c**2. What is the least common multiple of 2 and m(-6)?
12
Let t = -24 - -8. What is the common denominator of 38/(-10)*(-3)/6 and (t/14)/(2 - 3)?
70
Let c be 43226/(-15) - 10/(-75). Let u = -2679 + -192. Let z = c - u. Calculate the common denominator of z and -37/3.
15
Suppose 0*y - 304 = 2*y + 4*b, 4*b - 344 = 2*y. What is the common denominator of (8/(-176))/(2/y) and -111/14?
154
Suppose -10 + 0 = -5*n. Suppose b - n = 2. Suppose 0*p + 3*p = 3, -16 = -b*h - 4*p. Calculate the least common multiple of 4 and h.
12
Let c = 241653/22 - 10988. Let u = -167040001129/10743696 + 9/1193744. Let i = u + 15543. Calculate the common denominator of i and c.
198
Let x(v) = -v - 1. Let p be x(-1). Suppose -f + 0 = -4. Suppose -4*k + 71 = 5*u - p*u, -f*k + 49 = 3*u. Calculate the smallest common multiple of 5 and u.
55
Let j = 8 - 0. What is the lowest common multiple of j and 6?
24
Let z be (77394/(-86744))/((-1)/2). Let v = 47656532/1549 + -30766. Let y = z - v. Calculate the common denominator of y and -71/2.
14
Suppose d + 2*t = 12, 2*d = -2*d - 5*t + 63. Suppose 3*z + z + 8 = 0, -44 = -4*a - 2*z. Calculate the least common multiple of d and a.
132
Let n be (318*1/2)/1. Let x be 4/6 + (-556)/n. Let m = 523/583 - x. Find the common denominator of m and -91/6.
66
Calculate the common denominator of (-95)/(-10)*8/(-3) and 7/6.
6
Let i(b) = -b**3 + 6*b**2 + 9*b - 4. Let o be (-40)/(-6) - (-1)/3. Let k(p) = p**2 + 10*p - 17. What is the smallest common multiple of i(o) and k(-12)?
70
Suppose 8*j - 4*o = 3*j + 31, 0 = -o + 1. Calculate the least common multiple of 8 and j/21 - 58/(-6).
40
Suppose -d - 23 = -2*d. Let i = -15 + d. What is the smallest common multiple of i and 3?
24
Let j(q) = q**3 - 9*q**2 + 6*q + 2. Let p be j(8). Let r = p - -30. Calculate the lowest common multiple of 4 and r.
16
Let k = -7 + 11. Let r be k/18 + (-4)/18. Find the common denominator of 156/(-21) - (-3 - r) and 51/4.
28
Let y(z) = z**2 + 3*z - 6. Let s(b) = -8*b + 4. Calculate the smallest common multiple of y(4) and s(0).
44
Let a be 4 - (-152909)/20*3. Suppose -4*s - 3*q + 91795 = 0, 0 = 2*s + 3*s + 3*q - 114740. Let x = s - a. What is the common denominator of x and 67/16?
80
Calculate the common denominator of (0 + (-190)/8)/1 and 53/16.
16
Let c(x) = -x**2 + 7*x + 11. Let y be c(8). Suppose 2*u - 32 = y*g, 10 = -4*u + g + 74. Calculate the least common multiple of (1*-12)/((-2)/3) and u.
144
Suppose 4*c = 1209 - 33. Let a be (32615/(-126))/(c/(-18)). Let j = -5/343 + a. Find the common denominator of j and -139/12.
12
Let w = -221684/28735 + 2/4105. What is the common denominator of w and 59/7?
7
Let v = -31168748153/2827889140 + 1751541/90652. Let m = 2/6239 + v. Calculate the common denominator of 44/7 and m.
70
Let j = 2195/66 + -181/6. Find the common denominator of 61/10 and j.
110
Suppose -k + 12 = 3*k. Let i be (-2)/7 + 216/(-126). Calculate the smallest common multiple of 10/(2 - (i + k)) and 8.
40
Let p = 139/6 + -27. What is the common denominator of p and 203/(-14)*(-1)/4?
24
Suppose -40 = 2*n + 16. Calculate the common denominator of -43/11 and ((-4)/n)/(2/(-108)).
77
Find the common denominator of 5/3 and ((-10)/8)/(3/(-44)).
3
Let m be 4/((-1238)/412 - -3). Find the common denominator of m/64*(-4)/(-3) and -93/8.
24
Let i = -12 - -8. Let l(g) = 2*g**2 + 4*g + 4. Let z be l(-3). Calculate the lowest common multiple of 4 and i/(-6)*3 + z.
12
Suppose -4*x + 13 = 1. Suppose -7*c + 2*c + 30 = x*i, 24 = 4*c - 4*i. What is the least common multiple of c and 20?
60
Let z(g) = -2*g**3 - 3*g**2 + 5*g + 2. Let j be (-21)/(-28) - 99/(-12). Let f(x) = -x**2 + 8*x + 13. What is the lowest common multiple of f(j) and z(-3)?
28
Let i = -17 - -33. Let l = 20 + -10. What is the smallest common multiple of l and i?
80
Let v = -3930 - -39209/10. Calculate the common denominator of (-102)/21*(-49)/24 and v.
60
Let x be 356/(-130) - (-6)/3. Let r = 149/13 - x. Find the common denominator of -17/9 and r.
45
Let t be 8/36 - 1138/5202. Let o = t + -1163/2023. What is the common denominator of 107/6 and o?
42
Let g be (-23)/7 - 8/(-28). Let d be (g/(-9) + 0)*9. Suppose 0 = d*f - 2*f - a - 14, -2 = -f - 2*a. Calculate the lowest common multiple of f and 1.
10
Let b(q) = 2*q + 2. Calculate the smallest common multiple of b(3) and (2/(-6))/(2/(-6)).
8
Let r be (56/832)/(-4 - -2). Let f = r - 2333/208. Find the common denominator of -40/17 and f.
68
Calculate the smallest common multiple of 18 and 5/(-5)*-12 - 0.
36
Let k(b) = b**3 + 7*b**2 + 6*b + 2. Let s be k(-4). Let o = -17 + s. Calculate the smallest common multiple of o and 11.
99
Suppose -17 = f + 5*b, f - 12 = 2*f + 4*b. Calculate the least common multiple of 21/6 - 6/4 and f.
8
Let x = 15412/723 + 4/241. Calculate the common denominator of -28 and x.
3
Let p = 79 + -64. What is the lowest common multiple of 27 and p?
135
Let n be ((-8)/3)/4*15. What is the smallest common multiple of 2 and -2*(-5)/(n/(-3))?
6
Let y = -2/107 + -5651/1070. What is the common denominator of y and 21/8?
40
Let u(s) = -s + 2. What is the lowest common multiple of 4 and u(-6)?
8
Let v = 17 + -12. Calculate the lowest common multiple of 20 and v.
20
Suppose 6*m - 3*m - 60 = 0. Suppose 5*f = 5*r + 135, -r = 5*f - 3*r - 120. What is the lowest common multiple of f and m?
220
Suppose 0 = 5*b + 15, -3*y = 2*y - 5*b + 375. What is the common denominator of 41/6 and ((-1)/(-12))/((-2)/y)?
12
Let q = -2222 - -17807/8. Find the common denominator of q and 59/((-1)/(-1)*-7).
56
Let l = -217/3 + 1165/12. What is the common denominator of l and -2 - 30/56*10?
28
Suppose 0 = -6*p + p + 20. Let z(w) = w + 6. Let s be z(-12). Let t(n) = n + 7. What is the smallest common multiple of p and t(s)?
4
Let p = 4 + 0. Suppose -4*n - 12 = -6*n. Calculate the least common multiple of n and p.
12
Let t = 949954792607/25116 + -264758771/7. Let w = t + 3/1196. Find the common denominator of (-266)/(-20) - (1 + 1) and w.
30
Let k = -11 + 23/2. Calculate the common denominator of k and -31/2.
2
Suppose -12 + 9 = -3*b. Find the common denominator of b and 11/16.
16
Suppose 2*y - 13 = -69. Let c be y/(-6) + (-4)/6. Suppose c*l - 11 = 5. What is the least common multiple of l and 11?
44
Let k = -1009 + 1941/2. What is the common denominator of 131/30 and k?
30
Let k be (12/5)/(9/(-30)). Calculate the common denominator of (92/6)/(k/(-6)) and 97/4.
4
Let o(i) = 7*i**2 + 1. Let p be o(1). Let n be p/2*(-5)/(-4). Find the common denominator of -33/8 and 81/(-55)*n/(-2).
88
Let a be (3 - 1)/2 + 3. Suppose -3*f = a*u + 80, 5*f + 2*u + 128 = -2*u. Calculate the common denominator of -11/2 and 111/f + -2 + 0.
8
Let o be 6/10 - 3/5. Suppose 2*w - 9 = -3*y, -3*y + w + 4*w - 12 = o. What is the least common multiple of y and 2?
2
Let h(d) = -d + 2. Let p be h(3). Let k be (20/(-8))/(p/(-2)). What is the common denominator of (-207)/24*(-2)/k and -127/12?
60
Let b = 1621673/65 - 24948. Let k = -6/5 + b. What is the common denominator of -149/6 and k?
78
Let r = -48 - -58. Let n = 7 - -3. What is the smallest common multiple of r and n?
10
Let g = 12 - 2. What is the lowest common multiple of 34 and g?
170
Let k be ((-2)/5)/((-1)/10). Let c be 4/6 + 1/3. Let w = k - c. What is the smallest common multiple of w and 7?
21
Let v