
42
Let k(n) = -165*n. Let p be k(-1). Suppose 0 = -3*w + p - 51. Calculate the least common multiple of 4 and w.
76
Suppose 73 = 4*i - 279. What is the least common multiple of i and 64?
704
Let b(j) = j**3 + 10*j**2 - 2*j + 7. Calculate the least common multiple of b(-10) and 3.
27
Suppose 10*q - 48 = 6*q. Let f be (-1 + 1*4)*-2. Let g = q + f. Calculate the smallest common multiple of 5 and g.
30
Let n = 10 + -7. Calculate the lowest common multiple of n and 11 + (0 - (-12 + 16)).
21
Let q = -9 - -16. Let x(v) be the third derivative of v**5/6 + v**4/24 + 5*v**2. Calculate the least common multiple of x(-1) and q.
63
Suppose 0 = 4*v - 20, 5*v - 21 = 3*u - 8. Suppose 2*c - 2*t = 32, -t - 4 = t. Calculate the lowest common multiple of c and u.
28
Let a = -49295/14 + 3525. What is the common denominator of a and 25/246?
1722
Let g(s) = -s - 4. Suppose -20 = -v + 4. Suppose -2*t - v = t. Calculate the smallest common multiple of g(t) and 20.
20
Let x = -2241/2 - -1086. Let s(d) = -d**3 + 12*d**2 - 11*d - 1. Let w be s(11). What is the common denominator of x and (-135)/35 - (5 + w)?
14
Let p(s) = -s**3 + 6*s - 10*s**2 - 2*s + 13*s**2 + 2. Calculate the smallest common multiple of 16 and p(4).
16
Let z = 4405/4 + -1083. Let w be 1*(-4 + 700/176). Let b = w - 613/132. What is the common denominator of z and b?
12
Suppose -6*o - 3 = -93. Let q be ((-10)/o)/(4/(-78)). Let z = q + -12. Calculate the lowest common multiple of 6 and z.
6
Let v = 103 - 108. What is the least common multiple of -1*((-5)/(v/(-18)) + -3) and 3?
21
Find the common denominator of 107/90 and -2*(-3)/((-3600)/404).
450
Let w(c) = c - 144. Suppose 2*f = -3*f. Let z be w(f). Calculate the common denominator of 27/z*14/(-1) and -44/9.
72
Suppose 6*k - 4*k - 8 = 0. Let v = -124 + 132. Calculate the lowest common multiple of v and k.
8
Suppose -4*o + 78 = 2*h, -3*h - 2*o = 141 - 242. Calculate the least common multiple of h and 2.
62
Let x = 105743/4770 + -4/2385. Calculate the common denominator of (-418)/(-352) - ((-7)/4 + 2) and x.
48
Let a = -127/2 + 621/10. Let d = 711/2 - 1447/4. Calculate the common denominator of a and d.
20
Let x = 4 + 9. Suppose p - 5 = 0, -7 = 4*q - 4*p + x. Suppose -2*j + 29 - 9 = q. What is the lowest common multiple of j and 68?
340
Suppose 0 = 5*i + 4*j - 58, 0 = -5*j + 7 + 3. Calculate the lowest common multiple of (-1 - -4)*(-3)/((-6)/i) and 6.
30
Suppose -25*y = -23*y - 102. What is the least common multiple of 68 and y?
204
Let z = 160 + -126. Calculate the lowest common multiple of 8 and z.
136
Let t be 251004/70*(1 + (-12)/(-16)). Let g = -6101 + 12386. Let l = t - g. Calculate the common denominator of l and 29/24.
120
Let m = -1/37112 - -15570805/55668. Let q = -820/3 + m. What is the common denominator of q and (-58)/(-4)*(-2)/4?
8
Let x = -24 - -30. Suppose x*k - 44 = 4. Calculate the lowest common multiple of 8 and k.
8
Let v be 3/(-15) - 64/(-20). Suppose -v*m + 13 = -5. Calculate the least common multiple of 6 and 4 - m/(3 - 0).
6
Let h be 226*((-7)/(-6) + (-2)/3). Let y = 559515/8 - 69825. Let w = h - y. What is the common denominator of w and 17/16?
16
Suppose -4*m - c + 40 = -0*c, 5*m - 2*c - 37 = 0. What is the smallest common multiple of ((-48)/m)/(6/(-9)) and -15*((-5)/3 - -1)?
40
Let v = -3428 + 99437/29. What is the common denominator of 85/14 and v?
406
Suppose 6068 = 114*r - 32*r. Calculate the least common multiple of r and 2.
74
Let z = -2636353/127155 + 2/42385. Let w = z + 2407/120. Find the common denominator of w and -67/20.
40
Let l(j) = j**2 - 2*j - 54. Calculate the lowest common multiple of l(9) and 1.
9
Suppose 4*k + 5*c = 2*k - 9, k = -5*c - 2. Calculate the least common multiple of 20 and 2/k + 2 + 32/14.
20
Let b = -2/16109 + -354328/563815. Let w = b - -401/70. Find the common denominator of -2 - 13*(-5)/18 and w.
90
Let h(b) = -b**3 - 3*b**2 + 12*b + 1. Let i be h(-6). Suppose d = 5*o - i, -o = 5*d - 9 + 64. Calculate the common denominator of (-239)/d + (-6)/24 and -40.
3
Let a = 25 + -15. Suppose x + 20 = -6*k + 11*k, 0 = -k - 3*x + 20. What is the least common multiple of a and k?
10
Let u(k) be the second derivative of -7*k**3/3 - 36*k. Calculate the lowest common multiple of u(-1) and 12.
84
What is the smallest common multiple of (126/(-9) + 99)/((-1)/(-4)) and 34?
340
Suppose 3*g + p - 6 = 0, 0*g + 8 = 4*g + 4*p. Calculate the common denominator of 8/312*327/g and 87/16.
208
Let s = -270 - -410. What is the smallest common multiple of s and 40?
280
Let k(b) = 2*b**3 + 4*b + b**2 - b - 2*b + 3*b**3 - 1. Let w(a) = a**2 + 4*a - 4. Let t be w(-5). Calculate the lowest common multiple of 6 and k(t).
6
Suppose -4*v - 2 = 4*t - 10, 3*t = v + 2. Calculate the lowest common multiple of (t + -1 + 1)*10 and 8.
40
Let n(q) = -q**3 + 5*q**2 - 3*q - 6. Let d be n(4). Let c = 29 - 18. What is the lowest common multiple of -2 + 158/22 - d/(-11) and c?
55
Let k = -87 + 91. Calculate the smallest common multiple of k and 304.
304
Let w = -17473919/231 + 75645. Find the common denominator of 89/105 and w.
1155
Let q = -15798/11 - -1432. What is the common denominator of q and -2/1881?
1881
Suppose 0 = o + p - 229, 0*p - 951 = -4*o + 3*p. Suppose i = -d + 98, -5*i - 2*d + 247 = -o. What is the least common multiple of 3/(-4) + i/20 and 30?
60
Let c(b) = 4*b - 16. Let l be c(6). Suppose 0 = 10*q - l*q - 30. What is the lowest common multiple of q and 18?
90
Suppose 6*t - 380 = t. Suppose 4*w - 70 = -3*u, 30*u - 29*u - 18 = 4*w. Calculate the lowest common multiple of u and t.
836
Let w(c) = -c**3 - 8*c**2 + 12*c + 63. What is the smallest common multiple of w(-9) and 4?
36
Let s(y) = 373 - y**3 - 4*y**2 - 5*y - 373. Calculate the least common multiple of 2 and s(-3).
6
Suppose 0 = -31*h - 1634 + 11864. Calculate the least common multiple of h and 150.
1650
Let s be -2 + (4581452/2520 - -1). Let d = -9103/5 + s. Let u = 34/9 + d. What is the common denominator of -43/22 and u?
154
Let f(c) = 6*c - 2. Let o be f(2). Let m be 4302/o*1000/(-128). Let z = m - -3362. Find the common denominator of z and 31/20.
80
Let s = 77 - 76. Suppose 3*q + 2*b - 17 = 0, -b = 2*q - 11 + s. What is the smallest common multiple of q and 18?
18
Suppose 22 = -12*q + 13*q. Let t = q - 8. What is the least common multiple of t and 2?
14
Let c be (1830 + 3)*1118/6. Let b = -1350319/4 + c. Let t = 3946 - b. Find the common denominator of t and 23/11.
44
Let u(r) = r**3 - 6*r**2 + 7*r - 5. Let q be u(4). Calculate the common denominator of -57/7 and (-9)/6*(-141)/q.
14
Suppose 0*c - 9 = -3*c. Let q(r) = 5*r - 258. Calculate the least common multiple of 2/c - 104/(-6) and q(52).
18
Suppose 5*b - 58 = q, 0*q + 5*q = 10. Let k(x) = -x**3 - 5*x**2 + 2*x + 10. Let h be k(-5). Calculate the lowest common multiple of (0 - 2) + (h - -13) and b.
132
Suppose -120 = -5*x - 5*x. Suppose 28 = 3*a + 5*u, 3*a = 4*a + u - x. Calculate the least common multiple of a and 12.
48
Let u(d) = -d**2 + d + 10. What is the lowest common multiple of 2/(-7) + -1 + (-148)/(-28) and u(0)?
20
Calculate the common denominator of (-12 - 8824/(-672))/((-6)/(-7)) and -121/6.
72
Let y = -502/7 - -1833/28. Find the common denominator of y and -75/8.
8
Calculate the common denominator of 9/(-27) - (-5)/(60/259) and (-10)/5 - 166/36.
36
Let x(u) = -4*u**2 + 39*u + 7. Calculate the least common multiple of x(9) and 8.
136
Let p be ((-3)/7)/((-3177)/3171 + 1). Let f = p + -1640/7. Calculate the common denominator of f and (-1)/(-3) + (-194)/96.
112
Suppose -2*a = 2*a + 4. Find the common denominator of a + -3 + 3/(12/73) and 10/(-4)*(-37)/50.
20
Suppose 6*p = 3*p - 18. Suppose 3*q - 2*y - 20 = 0, -4*q - y + 60 = 3*y. What is the lowest common multiple of 2 and (q - 3)*p/(-21)?
2
Let k(q) = -19*q + 10. Calculate the least common multiple of 27 and k(-11).
1971
Suppose 4*q - 466 - 594 = 4*k, -5*q + 3*k = -1335. Calculate the smallest common multiple of 81 and q.
810
Suppose 3*g + 3 = -5*t, 0*t = 4*g + 4*t - 4. Suppose 0 = -0*h + g*h. What is the least common multiple of 2 and (h + -10)*(-7)/14?
10
Let a(n) = 3243*n + 19. Let t be a(7). Let z = t + -749834/33. Calculate the common denominator of z and 35/9.
99
Let d = -7 + 51. What is the common denominator of 34/11 and (60/16)/(24/d)?
88
