z*t. Calculate the least common multiple of g and t.
20
Let j = 12727 + -420025/33. What is the common denominator of 37/33 and j?
33
What is the common denominator of -19/24 and (2/(-4))/(3/(-528)*42)?
168
Let a be (10139/(-4))/(4/(-6)). Let x = a - 3808. What is the common denominator of -73/10 and x?
40
Let w = -1509/2 + 714. Let v = -7454/1287 + 2/143. What is the common denominator of v and w?
18
What is the common denominator of (178/(-16))/((-2)/8) and 10/54*(-21)/(-2)?
18
Let n(r) = -7*r**2 + 2. Let g be n(2). Let p = -16 - g. What is the smallest common multiple of 3 and p?
30
Suppose 0 = -5*j - z + 13, 2*z = 2*j + 4*z - 10. Let w = j - -4. Calculate the smallest common multiple of 1 + 9 - (6 - 7) and w.
66
Calculate the lowest common multiple of (-3 + 4)/((-1)/(-3)) and 7.
21
Let c be (-198)/(-10) - 4/(-20). Find the common denominator of -61*(7/c)/(-7) and 83/20.
20
Calculate the lowest common multiple of (-148)/(-5) - (-8)/20 and 9.
90
Let p = -900 - -9923/11. What is the common denominator of p and ((-1)/3)/((-2)/(-261))?
22
Suppose 2*d + 5 = -2*n + 31, -21 = -2*n - d. Let b = -124 + 134. What is the lowest common multiple of b and n?
40
Suppose 2*w - 20 = -0*w. Let s be -2 + (0 + -2)*-1. Suppose 5*q + 12 - 52 = s. What is the least common multiple of w and q?
40
Suppose 4*v - 2*k + 0*k - 128 = 0, -v + 32 = 5*k. Calculate the least common multiple of v/3 - 10/15 and 16.
80
Let h = 6 - 3. Suppose 7 = 2*n + 3*k, -h*n - 3 = -2*k - 7. Let b = 15 + -4. What is the least common multiple of n and b?
22
Suppose 72 = 43*y - 41*y. What is the least common multiple of 44 and y?
396
Let d = -7 - -11. Suppose -6*h + 13 = -2*h - 5*q, -d = -h + 2*q. Suppose r - 2*g = h*r - 2, g = -5. What is the lowest common multiple of r and 16?
48
Let o be ((-172)/24342)/(2/762). Let y = 370886809/40667368 + o. Let h = -1/1432 - y. What is the common denominator of h and -101/4?
28
Let g(o) = 1 - o**2 - 15*o + 8*o + 2*o**2. What is the least common multiple of g(7) and 6?
6
What is the least common multiple of 8 and 15/(-35) + 30/21?
8
Let q(c) = 6*c**2 - 3*c - 2. Let k be q(-2). Let d = k - 14. Suppose -d = -3*y - 5*m, -5*m - 2 = y - 0*m. Calculate the smallest common multiple of 3 and y.
24
Suppose 2*v - 3 = -3*z - 1, -4*z + 11 = v. Let m be (1 - (1 + v)) + -2. Suppose -26 = -m*w + 28. Calculate the lowest common multiple of w and 2.
18
Let l(b) = -4 - 3*b + 1 + 2. Let n = 15 - 7. Calculate the least common multiple of n and l(-5).
56
Let y = 17305 + -518993/30. What is the common denominator of y and 137/12?
60
Let j(r) = r**3 + 7*r**2 - 17*r + 11. Calculate the smallest common multiple of 7 and j(-9).
14
Let b = -204233/16 - -12760. Find the common denominator of -31/6 and b.
48
Suppose 3*g - 138 - 51 = 0. Suppose g = -2*y + 5*w - 1, -2*y - 64 = w. Calculate the common denominator of -113/12 and y.
12
Let i = -1074/7 - -155. Find the common denominator of i and -33.
7
Calculate the common denominator of -91/24 and -1*(-1478)/(-240) - (-3)/15.
24
Suppose 0*b + 32 = 4*v + 5*b, -4*b + 40 = 5*v. Suppose 3*n - 44 - 1 = -3*k, n - k - 25 = 0. What is the least common multiple of v and n?
40
Suppose 4*b - 2*g = g + 123, 3*g = -2*b + 57. What is the common denominator of 4/(-18) + 155/b and 86/4 + 1 + 0?
18
Let i = 5 + -6. Find the common denominator of 61/12 and (-93)/10 - 2 - i.
60
What is the common denominator of -49/16 and ((-149)/7)/(120/(-70))?
48
Suppose q = 2*q - 6. What is the smallest common multiple of 9 and q?
18
Let t = 3 - -45. Calculate the smallest common multiple of 36 and t.
144
What is the common denominator of (2 - (-42)/18)*-5 and 115/12?
12
Let t be (25/4 - 2)*4. Let v = t + 5. Calculate the least common multiple of 12 and v.
132
Let r be 6 + -5 + (-5518)/968. Let x = r + -13/484. Calculate the common denominator of x and (-3)/(-15) + 286/(-80).
88
Calculate the common denominator of (-429)/(-210) - (-8)/(-20) and 119/10.
70
Suppose -5 = -4*u + 2*s + 13, -3*u - 2*s = -24. Suppose -4*y - c = -66 - 7, 2*c = -5*y + 92. What is the smallest common multiple of u and y?
18
Suppose 4*x = 0, 2*v + 0*v = x - 24. Let s = 4529/8 - 564. Calculate the common denominator of s and (-1)/v*(-261)/2.
8
Suppose 5*p - 120 = 5*a, 0 = -3*p - 4*a + 40 + 11. Calculate the smallest common multiple of 3 and p.
21
Let q(m) = m**2 - 11*m + 6. Suppose -3*d + 10 = -23. Calculate the smallest common multiple of 9 and q(d).
18
Suppose 0 = 2*j + j - 5*t - 495, -853 = -5*j - t. Suppose j - 22 = 4*i. Let q = i + -21. What is the smallest common multiple of q and 4?
16
Let y = -5 - -7. Suppose y*b - 14 = -2. What is the lowest common multiple of 2 and b?
6
Let w(i) = 2*i**2 - 2. Calculate the least common multiple of w(-2) and 8.
24
Suppose -7*d + 6*d = 0. Suppose 4*t + 41 - 113 = d. What is the smallest common multiple of t and 0 - -8 - (3 + -1)?
18
Let u(v) = -v - 1. Let y be u(2). Suppose -3*q + 6 + 8 = -5*z, -2*z = q - 12. Calculate the smallest common multiple of q and (-77)/y + (-4)/(-12).
104
Let q(k) = -k**2 + 7*k + 7. Calculate the lowest common multiple of q(7) and 13.
91
Let l = 0 + -3. What is the common denominator of l/(-3)*(-3)/8 and (-1589)/42 - (-1)/3?
8
Let s(p) = -p**3 - 4*p**2 - 3*p - 2. Let z = 2 + 2. What is the smallest common multiple of z and s(-4)?
20
Let s = 10/89 + 10847/890. Let k = 1348 - 18825/14. Find the common denominator of s and k.
70
Suppose s - 3*s = 18. Let f be 6/s*534/(-4). Calculate the common denominator of f/(-6) - (-1)/2 and -9/11.
33
Let a = 1/1365 - 80551/21840. What is the common denominator of a and 1400/(-32) - (-1)/4?
16
Calculate the least common multiple of 5/(-10) - ((-69)/2 - -2) and 16.
32
Let i = 1444 + -5723/4. Calculate the common denominator of 45/11 and i.
44
Suppose 0 = -l + 6*l + 90. Suppose 0 = -4*q + 8*q + 104. What is the common denominator of (-165)/10*q/l and 26/5?
30
Let z = -18431/21494 - 6/977. Calculate the common denominator of 83/40*(-36 - -38) and z.
220
Let z be (329/35)/((-18)/14765). Let s = 7706 + z. What is the common denominator of s and -11/2?
18
Let p = 2983 - 23897/8. Let h = 653/114 + -8/285. Calculate the common denominator of p and h.
40
Suppose 0 = 4*c + c - 1150. Let r = c + -700/3. Calculate the common denominator of r and 29/12.
12
Suppose -2 = -2*j + 6. What is the common denominator of 5/(4/136*j) and -1/8?
8
Let a(m) = -m**2 - m - 2. Let d be a(-3). Let s = -5 - d. Calculate the lowest common multiple of 22 and 6 - (s/(-3) + 3).
44
What is the common denominator of (8/(-24))/(6/43) and 119/6?
18
Let l be ((-2)/6)/(4/60). Let c = 13 + l. What is the smallest common multiple of c and 1?
8
Suppose 2*n - 108 + 18 = 0. Calculate the common denominator of -1 - (-5)/(n/(-66)) and (4/2)/(10/11).
15
Let r = -1/73 + 4601/146. Calculate the common denominator of r and -41/9.
18
Let i(m) = -m**3 + 11*m**2 - 23*m + 47. Calculate the lowest common multiple of i(9) and 76.
76
Suppose -3*h = -5*d - 63, 2*h - 3 = -5*d + 14. What is the lowest common multiple of h and 20?
80
Let u be ((-55)/3)/(4/12). Find the common denominator of 132/u - (1 + 0) and -83/10.
10
Let l be (-8)/48 - (-3511)/(-1092). Let t = l + 5/52. Let i = -2356 - -9489/4. Calculate the common denominator of t and i.
28
Suppose 0*v + 4*v - 11 = 5*g, -5*v + 18 = -2*g. Suppose -143 = -v*l + 3*f, -2*l + 2*f + 26 = -44. Calculate the smallest common multiple of 22 and l.
418
Let z = 5 - 5. Let n be (z/(-1))/(-4 + 5). Suppose c + n*c = 16. What is the lowest common multiple of 12 and c?
48
Suppose -38 = -0*k + 2*k. Let l = -11 - k. Calculate the least common multiple of 16 and l.
16
Let c be ((-55054)/12)/(14/(-6)). Let o(p) = -15*p**3 - 3*p**2 - 2*p - 7. Let q be o(5). Let h = c + q. Calculate the common denominator of h and 61/22.
154
Calculate the common denominator of (3/(-25))/(40/1150) + -2 and -27/16.
80
Let p = -38405/15928 + 3/1448. Calculate the common denominator of p and -73/18.
198
Suppose 0*j = -5*j + 15. Calculate the lowest common multiple of 8 and j.
24
Suppose -i - 1 - 5 = 0. What is the common denominator of ((-11)/(-66))/(i/236) and -29/9?
9
Let m(v) = v**3 + 4*v**2 - v + 4. Suppose -c + 122 = 4*j, 2*c + 3 - 7 = 0. Suppose -4*f + j = f. What is the least common multiple of f and m(-4)?
24
Let g be (-4)/(-18) - (-61)