42504. Let u = x - -55. Calculate the common denominator of u and 47/11.
11
Let x(d) = -14*d**3 + 7*d + 28*d**3 - 15*d**3 + 7 - 4*d**2. Let y be x(-4). Calculate the lowest common multiple of 4/14 + (-36)/y and 4.
4
Suppose 4*y - p = -6*p - 168, 0 = 2*y - p + 98. Let r(f) = -3*f + 40. Let x be r(6). Calculate the smallest common multiple of 3 and x/(-99) + y/(-9).
15
Suppose y - 56 = -2. Suppose -3*t = -6*t + y. What is the least common multiple of (429/(-6))/(-13) - 2/(-4) and t?
18
Suppose -3*j + 2*j + 4 = -4*r, 3*j = 2*r - 8. Let n be (-10)/4*r - 1. Suppose 3*l = x - 7 - n, 2*x - 5*l = 26. What is the common denominator of 89/4 and x?
4
Let f(u) = u**2 + 10*u + 9. Calculate the least common multiple of f(-19) and 12.
180
Suppose 9 = 3*s - 0*s. Suppose -v = -3*d - 14, -7*v + 60 = -4*v - s*d. Let y = v - 16. What is the least common multiple of 11 and y?
77
Suppose -2*x - 18 = -0*q + 2*q, -5*q = -4*x. Let g be (q - -3 - 3)*-1. Find the common denominator of (-22)/8*g/(-20) and -59/2.
20
Suppose -14*n = -4*n - 240. Let x(o) = -2*o - 10. Let b be x(-8). Calculate the lowest common multiple of 5 and (b/n)/(2/8).
5
Let s = 17 + -12. Suppose 36 = -3*g + s*g. Calculate the smallest common multiple of g and 8.
72
Suppose -4*i - 4*t + 85 = -5*t, -t - 65 = -3*i. What is the smallest common multiple of 75 and i?
300
What is the common denominator of (-2)/(216/596) - -8 and (-24)/32*(-49)/3?
108
Suppose 4*t = -m - 7532, -3*t + 4*m - 1155 = 4475. Let q = t - -18887/10. Find the common denominator of (-1)/3 + 197/(-12) and q.
20
Let j = -55381/9328 + -1/2332. Let a = -193275/16 + 12075. What is the common denominator of j and a?
16
Let d = 255/8 - 985/24. Calculate the common denominator of d and 52/15.
30
Suppose 3*a - 4*m - 101 = 0, 5*m = 2*m - 15. What is the lowest common multiple of a and 37 + -1 + -4 + 1?
297
Let p = 21335/4 + -533473/100. Calculate the common denominator of p and 19/150.
150
Let h be 10/(-35)*(-11498)/(-924). Let w = h + -52/147. Let c = 99/34 + 27/17. Find the common denominator of c and w.
22
Let f = -148 + 212. Find the common denominator of -47/4 and (f/2)/(2*22/4).
44
Suppose -3*b + 2299 = -o, -5*b + 543 = -2*o - 3287. Calculate the smallest common multiple of 6 and b.
768
Let t = 748445/32 + -23391. Find the common denominator of t and -25/56.
224
Let s be ((-8)/16)/1*5*2. Let y = 5 - s. What is the least common multiple of 4 and y?
20
Suppose 2*o = b - 3, -b = -5*b + 2*o + 6. What is the common denominator of b/10*33/(-3) and (-1287)/660 + ((-3)/2)/(-3)?
20
Let g = 24 - 30. Calculate the common denominator of g/9*(-237)/(-20) and -65/6.
30
Suppose -3*x - 110 = -8*x. Calculate the lowest common multiple of x and (6 - -4) + 1/(-2)*0.
110
Let i = 31 - 80. Let p = i - -73. What is the least common multiple of 27 and p?
216
Let a be ((-60381)/144)/((-1)/(-2)). Let y = -835 - a. Find the common denominator of y and 71/18.
72
Calculate the common denominator of -107/258 and -2*20/165*30/(-8).
2838
Suppose 0 = 4*g - g. What is the common denominator of g/(2 + 3) - (-32)/(-14) and -67/9?
63
Let o be ((-291)/6)/((-64)/(-1864)). Let w = 2817/2 + o. Calculate the common denominator of -35/8 and w.
16
Suppose -p - 3 = -2*p. Suppose 0 = p*g + 4*a - 21, -7 - 8 = -5*a. What is the smallest common multiple of (-45)/(-12)*8/g and 2?
10
Let v = -31 - -33. Suppose 3*b = -2*c + 8, -2 = -2*b - v*c + 4. Calculate the lowest common multiple of b and 4.
4
Let j = -70477/34 + 2072. Calculate the common denominator of 23/10 and j.
170
Find the common denominator of (2/96)/(3/(-58)) and 40/423.
3384
Let y(a) = 3*a - 8. Let c be y(4). Suppose -x + c*t + 22 + 0 = 0, -x + 5*t = -27. What is the least common multiple of 3 and x?
6
What is the common denominator of -65/36 and 37011/(-3212) + 2/(-33)?
36
Let n = -2 + -10. What is the common denominator of 39/16 and (-7 - -6)*101/n?
48
Suppose 94*d - 87*d = 280. What is the least common multiple of 36 and d?
360
Let v(q) = -4*q**3 + 9*q**2 - 8*q + 11. Let i be v(8). Let s = -9175/6 - i. Find the common denominator of (-21)/(-6)*1/((-24)/28) and s.
12
Let b be 2/8 + 7 + (-17142)/(-216). Let h = 88 - b. Calculate the common denominator of 2/8 - (-894)/(-72) and h.
18
Let b = 16 - 13. Suppose -3*y = -3*x - 48, b*x = y - 4 - 20. Suppose 4*h + r + r = 34, -h - 4*r = -26. What is the least common multiple of h and y?
12
Suppose -1 = m - 2*a, -3*m + 2*a = -m - 2. Find the common denominator of -11 + (21/6 - m) and 95*-1*6/75.
10
Suppose -194 = 6*w - 3*w - 4*j, -137 = 2*w + 5*j. What is the smallest common multiple of w/8*(-176)/66 and 2?
22
Let o be 20/(-3) - 70/(-105). Let p(h) = -5*h - 18. What is the lowest common multiple of 2 and p(o)?
12
Let a = 4/723 - 58619/10122. Let u = -506/45 + 275/18. Calculate the common denominator of a and u.
210
Let a = 60 + 10. Calculate the smallest common multiple of 16 and -3 - a/(-6) - (-6)/(-9).
16
Let i = 309 + -165. Suppose -3*d - 4*s + i = 0, 3*d - 5*s - 60 = 57. Suppose 3*l = -l + d. Calculate the lowest common multiple of 1 and l.
11
Let n be (-10)/(-3)*-29*-3. Calculate the common denominator of 438/40*2/(-3) and n/8 + (-22)/88.
10
Let z = -11691/7 + 1678. Calculate the common denominator of z and -61/27.
189
Let i(q) = q**3 + 3*q**2 - 7*q - 6. Let g be i(-4). Calculate the common denominator of (-2)/g + 596/(-120) and 8/(-56) + (-393)/(-154).
110
Suppose 3*w + w - 40 = 0. Let s be (-3)/(-6)*70589/w. Let c = 3533 - s. What is the common denominator of c and 113/18?
180
Let s = -17275/16 + 1083. What is the common denominator of s and -73/24?
48
Let l be (-207120954713)/732186*(-2)/1510. Let r = 11/3037365 + l. Let t = r - 4920/13. Calculate the common denominator of 61/20 and t.
140
Let s = -541 + 621. Calculate the least common multiple of 290 and s.
2320
Suppose -20 = -5*f - 4*m, 2*m = 4*f + 5*m - 17. Suppose -b + 6*b - 15 = 0. What is the smallest common multiple of f and b?
24
Suppose -2*x - 8 = -0*x, -r = 5*x + 22. Suppose -80 = -8*b + 16. Calculate the least common multiple of (1 - r) + (9 - -6) and b.
36
Let c(m) = -25*m - 16*m + 31*m. What is the lowest common multiple of 10 and c(-1)?
10
Let o(y) = -3*y**3 - 132*y**2 - y - 24. What is the lowest common multiple of o(-44) and 24?
120
Let a(y) = 7*y**3 + 2*y**2 - y. Suppose 0*s + 4 = 4*s. Let x be a(s). Calculate the common denominator of -31/12 and (-122)/32 - (x - 8).
48
Suppose -2*n + 10 = 0, 0*c - 10 = 2*c - 4*n. Calculate the least common multiple of c and (-3)/2*4/(-3).
10
Let v = -92 + 142. Calculate the lowest common multiple of 2 and v.
50
Let m = -1942 - -17540/9. Let w = m + -46/3. What is the common denominator of w and -64/27?
27
Suppose -2*o + 5*o + 3 = 0. Let k = -1041/158 + -30/553. Find the common denominator of k and o - (51/2 + 1).
14
Let r = 103 + -99. Suppose 6*t - 7*t = h - 6, r*h - 12 = -2*t. What is the lowest common multiple of t and 4?
12
Let p be -2*(1 + (1 - 97)). Calculate the common denominator of (-2 + p/12)/(-1) and (16/28)/((-2)/(-10)).
42
Let d = 3315802 - 278509319/84. Let w = d + -1430/7. Find the common denominator of -65/18 and w.
36
What is the common denominator of -16/339 and (-2)/(-7) - 18961/2345?
1695
Suppose 2*a - 5*t = -2, 4*a = -0*a + 2*t - 4. Let s(r) = -9*r. Let w be s(a). What is the common denominator of (1 + (-155)/w)/(-4) and -79/10?
90
Let a(p) = -p**2 + p + 23. Let m be a(-5). Let v = m - 13. Find the common denominator of (9/(-12))/(3/29) and v.
4
Suppose -24 = -4*w - 4. Let f be 4/24 + (-89)/(-6). Suppose -4*u + 29 = -f. Calculate the least common multiple of w and u.
55
Suppose 0*r - 6*r = -114. Let o = -115/6 + r. Find the common denominator of o and (-5)/(-2)*67/5.
6
Let m = 32/857 - 37473/62561. Calculate the common denominator of m and -37/9.
657
Let c = -29 - -69. Suppose -23*t + 18*t = -c. What is the smallest common multiple of t and 26?
104
Suppose -3*u - 4 - 5 = -3*z, 23 = 5*z - u. Suppose -1562*x + 1561*x + 6 = 0. Calculate the least common multiple of x and z.
30
Let c = 135 - 117. Suppose -2*k + 3*m - 1 = 0, m - 3 = k - 4. What is the smallest common multiple of c and k?
36
Let u be (4/(24/(-1231)))/(-3 + 4). Let h = u + 562/3. Calculate the common denominator of -103/24 and h.
24
Suppose 9 = 3*i - q, 0 = 5*q - 7 - 8. Let n = 55 + -37. What