d h.
3036
Let f(c) = 6*c**3 + 162*c**2 + 5*c + 184. Calculate the least common multiple of f(-27) and 413.
2891
Let q = 4519/21 + -1839737/8547. What is the common denominator of 13/370 and q?
4070
Suppose -5*h - 2 = -7*h, 0 = -f - h + 169. Calculate the lowest common multiple of f and 256.
5376
Calculate the least common multiple of -3*(-10)/35 - ((-16956)/63 - -9) and 8.
2088
Let d = -988/193 - -160277/34740. What is the common denominator of d and (9/(-45))/(72/1130)?
180
Suppose -268*s = -273*s. Suppose 3*k = -6, s = b + 4*b - 5*k - 490. What is the lowest common multiple of 2/(1 + (-14)/16) and b?
96
Let b = 60145 - 17141272/285. Find the common denominator of -89/105 and b.
1995
Let o = -106177/4 + 57229231/2156. Calculate the common denominator of o and 89/735.
8085
Let f = -15262/3375 - -467/108. What is the common denominator of f and 117/40?
1000
Let g(y) = 3*y + 5*y**2 - 45*y**3 - 4*y + 44*y**3. What is the lowest common multiple of g(4) and 57?
228
Suppose -15*h + 430 = 85. Suppose 3*k - h = -2*c, -2*c - 2*c - 20 = 0. Calculate the smallest common multiple of 4 and k.
44
Let y = -13334 - -13338. What is the lowest common multiple of 1554 and y?
3108
Suppose 2446 - 1236 = 110*j. Let a = 6 - 10. What is the least common multiple of 2/8 - 27/a and j?
77
Suppose 5*f + 235 = 30. Let d = f + 38. Calculate the smallest common multiple of 2*(108/(-8))/d and 32.
288
Suppose -1 = -s + 3*q, -2*q - 15 = 5*s + 3*q. Let r be (-23 - s)/(-1)*(-20)/(-3). What is the common denominator of 57/4 and ((-5)/(70/(-36)))/(50/r)?
20
Suppose 0 = -18*x - 0*x + 972. What is the common denominator of ((-20)/6)/((-32)/(-54)) and (-681)/x + (9 - 4)?
72
Let k be (1*800626/44)/(1 + -2). Let g = -18193 - k. What is the common denominator of 91/18 and g?
198
Suppose 0 = -2*y + 6*y + 8, 150152 = 4*h - 4*y. Let u be -2 + ((-85484)/h)/(45/164). Let d = 2/10557 - u. Calculate the common denominator of d and -35.
10
Calculate the least common multiple of 155 and (18 - 18)/13 + ((-6)/2 - -33).
930
Let y = 15 + 20. Let c = 4017 - 3968. Calculate the least common multiple of c and y.
245
Let u(b) = -2*b**3 - 7*b + 2. Let d(x) = 5*x**3 + x**2 + 20*x - 7. Let a(o) = 4*d(o) + 11*u(o). Calculate the smallest common multiple of 10 and a(-2).
20
Let y = 508/19 + -4111/190. Let z = -3112 - -986514/317. Let a = z - -9667/5072. Calculate the common denominator of y and a.
80
Let q = -7293 - -7416. Calculate the least common multiple of 315 and q.
12915
Let n be ((-180)/(-27))/(-10)*845934/(-56). Let j = 10065 - n. Find the common denominator of j and 37.
14
Suppose 5*x - 6 = 4*q - 5, -2*q = -2. What is the common denominator of 97/18 and (-7 - (-447)/108) + x?
36
Let c be 10158/(-56) - (-2)/8. Let f = -9703/56 - c. What is the common denominator of f and 5/(-50) - (2796/840 - 8)?
56
Let n = 78 - 66. Let u(m) = -m**3 + 5*m**2 + 3*m + 20. Calculate the least common multiple of n and u(6).
12
Calculate the common denominator of 16/3*(-270)/210 and 145/1806.
1806
Let h = 709 - 701. What is the smallest common multiple of 338 and h?
1352
Let s = -318979/387608 - -21/3727. What is the common denominator of s and 47/1144?
1144
Let c = -271 - -271. Suppose 5*u - 6*v + 2*v - 130 = c, 2*u - 2*v - 52 = 0. Calculate the smallest common multiple of u and 42.
546
Let m = -4775 - -5836. What is the lowest common multiple of m and 9?
9549
Let f = -10 + 6. Suppose 9*w - 3*w = -30. Calculate the least common multiple of 22 and ((w - f) + 2)*1.
22
Let r = 284 - 140. Suppose -47*p = -10*p - 296. What is the lowest common multiple of r and p?
144
Find the common denominator of 17/60 and (356/20)/((-12)/(-15)).
60
Let k(o) be the third derivative of o**6/120 + 17*o**5/60 - 7*o**4/8 - 23*o**3/3 + 128*o**2. What is the lowest common multiple of k(-18) and 72?
72
Let y = -44549/8 - -5570. Let g be 4/12 - 50/6. Find the common denominator of ((-81)/g)/(2/4) and y.
8
Let j = 5881/333 + 2/333. Find the common denominator of j and 47/5.
15
Let a = 5830/3 + -1957. What is the common denominator of a and 0 - (-48)/1161*3?
129
Suppose 77*r - 147*r = -85*r + 120. What is the smallest common multiple of 518 and r?
2072
Let v(n) = n**2 + 7*n + 7. Let g be v(-7). Let h(f) = -f + 9. Let q = -2460 - -2462. Calculate the smallest common multiple of h(g) and q.
2
Let a(z) = 3*z**2 - 2*z - 1. Suppose -s - 3*i - i = -3, -4 = -4*i. Let g be a(s). Suppose -g*n = 1 - 61. What is the lowest common multiple of 12 and n?
60
Suppose -2*u = d - 11, -36*u + 5*d - 7 = -34*u. Calculate the least common multiple of u and 30.
60
Suppose -f = 0, -2*f = -2*i + f - 10. Let k(m) = -2*m - 8. Let c be k(i). Calculate the common denominator of c/(-55)*5*35/(-3) and 70/9.
99
Find the common denominator of -62/637 and (4/154)/(5 - 666/162).
28028
Let m(z) = 2*z + 54 - 16 - 39. Calculate the lowest common multiple of 18 and m(5).
18
Suppose 0 = 5*k - 10, 2*j - 3*k + 0*k - 6 = 0. What is the lowest common multiple of (-3 + -6)*(-22)/j and 24?
264
Let f = -75071 - -75091. Suppose -3*q + 197 = z, 2*z - 4*q = q + 449. What is the smallest common multiple of z and f?
1060
Let z = -128591929/1459188 + 20176/229. What is the common denominator of z and -71/108?
6372
Suppose -3*m - 3*q = -3438, 0 = -2*m + 4*q + 3296 - 1022. Calculate the smallest common multiple of 1397 and m.
12573
Let j = 11595/7 - 1652. Find the common denominator of j and 190/76 + (-27)/10 - 231/2070.
966
Let q(a) = 84*a**3 + 2*a**2 - 2*a - 4. Let o be q(2). Suppose 2*s = 9*s - o. Let d = 117 - s. What is the lowest common multiple of d and 27?
189
Suppose -5 = -3*b - 2*b. Let r(m) = -20*m + 70. Let k be r(6). Calculate the common denominator of (b/25)/(k/(-3375)) and 49/3.
30
Let l be 1824/18 - (-1)/((-6)/(-4)). Suppose -n + l = 4*d, -35*n + 348 = -31*n + 4*d. Calculate the least common multiple of n and 18.
738
Find the common denominator of 127/3906 and 393/(-88)*(-968)/1584.
31248
Suppose 9*w - 3*w = 125 - 41. What is the least common multiple of 1332 and w?
9324
Let r = 25 - 49. Let t(b) = 7*b - 21. Let o be t(r). Find the common denominator of -109/78 and -10 - -6 - o/30.
390
Let r(d) = 5*d + 18. Let y be r(-4). Find the common denominator of 103/24 and (-258)/(-441) - (3 + (-4 - y)).
1176
Suppose 0 = 11*a - 2*a - 1080. Let k be 3 - ((-92)/a - 1). Let f = k - 18/5. Find the common denominator of f and 109/44.
132
Let o = 1/21790 + -479557/3856830. What is the common denominator of 14/177 and o?
177
Find the common denominator of (1/8)/(4/29) and ((-232)/(-6032))/((-24)/(-754)).
96
Suppose -9*f + 15*f = 18*f - 62376. Calculate the least common multiple of 2 and f.
5198
Let u = 44 - 42. Suppose 4*x - 5*x + 2*r = -4, -3*r = -u*x + 7. Suppose x*a - 3*a - 33 = -2*l, 75 = 5*l - a. What is the smallest common multiple of l and 5?
70
Let s be (-6)/39 - 332675/390. Let v = s + 858. Let x = -699847/24 + 29166. What is the common denominator of v and x?
24
Suppose -2*p + 3*z = -58, -p = -z + 5*z - 18. Let x = -4757 + 4763. What is the lowest common multiple of p and x?
78
Let u = -224 - -126. Let y be u/(-28) - (1/2 - 1). What is the smallest common multiple of 5 + y + -3 + 2 and 23?
184
Let g be (2/2)/(-8 - 675/(-84)). Suppose 4*w + 5*a = 43, 13*a - 9*a = 2*w - g. What is the least common multiple of w and 7?
84
Calculate the common denominator of -1/272 and (6 + 9/54)/(-2).
816
Let s be (-530)/(-110)*19/28. Let q = 1/308 + s. Calculate the common denominator of q and -105/76.
836
Let c = -68081/3 + 3267815/144. Calculate the common denominator of 40/99 and c.
1584
Suppose 0*v - 3*v + 329745 = 0. Let m be v/(-200) + (-3)/(-8). Let s = -555 - m. Calculate the common denominator of s and 50.
5
Let s = 232233/16 + -14509. What is the common denominator of s and 28/42 - ((-59)/24 - -13)?
16
Suppose -21*i + i - 1564 = -5344. Calculate the smallest common multiple of i and 243.
1701
Find the common denominator of 484/(-520)*(-666)/(-360) - (-21)/12 and -191/1170.
23400
Find the common denominator of 39/25 and (-24 - (-8395)/350)/((-1)/(-2)).
175
Suppose 0 = 2*y + 3*d - 21, 2 = -2*d - 0*d. Suppose -y*p = -14*p + 24. Find the common denominator of ((-70)/(-98))/(p/(-70)) and -35/18.
18
Let p = 209491/56 + -3742. Let f = 93955/477176 + -4/8521. What is the common denominator of f and p?
56
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