 + 0*t**3 + 0*t - t**3. Let q = 177 + -177. Calculate the lowest common multiple of 18 and d(q).
72
Let c = 73 - 71. Suppose -12 = -c*d - 2, -67 = -3*f - 5*d. Suppose 4 - 20 = -2*j. Calculate the smallest common multiple of j and f.
56
Let i = -64291 + 15622741/243. What is the common denominator of i and -70/33?
2673
Let m be 1/((-5)/20) - 37. Let s = -30 - m. What is the smallest common multiple of s and 8?
88
Find the common denominator of (-1)/4*8/6 and (-6)/(-28)*1085/105.
42
Let k = 100 + -51. Let q = k - 21. Let j = -18 + q. What is the lowest common multiple of j and 6?
30
Let i = -347/4 + 79. Let k = 15/31 + 343/124. Find the common denominator of i and k.
4
Suppose 0 = 3*g - 4*b + 1 - 7, 0 = -5*b. Suppose -36 = 3*q - 5*q. What is the smallest common multiple of g and (-4)/q + (-141)/(-27)?
10
Suppose 4*p - 3*i = 213 - 82, 3*i + 163 = 5*p. What is the least common multiple of 44 and p?
352
Suppose 10*f + f = 286. Let p = 17 - -6. Let q = p - 13. Calculate the lowest common multiple of f and q.
130
Let r = 10 + -10. Suppose 0 = -k - 5*g - 15, r*k - 2*k = g + 21. What is the lowest common multiple of (k + 1)*(-4)/6 and 2?
6
Suppose f - 80 = -0. Let q = -52 + f. Let o(n) = n**2 - n + 8. Calculate the lowest common multiple of o(4) and q.
140
Let y = -4047493015086446/73185 + 55304953406. Let w = y - -2/4879. What is the common denominator of 73/9 and w?
45
Let c be (-771)/(-12723)*33 - 2. Let i = c + 318097/93302. Let k = -256537/45010 - 2/4501. What is the common denominator of k and i?
110
Let n(o) = -o**2 - 12*o - 35. Let p(r) = -r**2 - 12*r - 36. Let g(c) = 6*n(c) - 5*p(c). Calculate the lowest common multiple of g(-6) and 18.
18
Suppose -12 = 4*j + 4. Let h = -17550 + 877583/50. Find the common denominator of (212/(-20))/(j/(-10)) and h.
50
Let k = -1009/5 - -202. Calculate the common denominator of 9/80 and k.
80
Let p = 2 - 1. Suppose -8 + 44 = 2*y. What is the least common multiple of p and (-5 + 3)*y/(-4)?
9
Let s = -3/3851 + -465941/38510. Let z(c) = -c**2 - 5*c - 5. What is the common denominator of s and z(-8)?
10
Find the common denominator of 6365/650 - 8 - 1 and 11/78.
390
Let a(k) = 2*k. Let t be a(5). Let j(d) = 788 + d - 796 + d. What is the least common multiple of j(t) and 22?
132
Let b = 18 - 8. Let h(i) = i**2 + 15*i + 31. What is the lowest common multiple of b and h(-2)?
10
Let n(k) = 3*k - 6. Let c = -1 + 4. Suppose 2*w = 10, 0 = -c*f + 3*w + 2*w + 2. What is the smallest common multiple of n(5) and f?
9
Suppose 5*f - 5813 = h - 3*h, 0 = 2*h + 2*f - 5810. Let o = 23133/8 - h. Calculate the common denominator of o and -13/18.
72
Calculate the smallest common multiple of (21/(-35) + 1)*-15 - -20 and 273.
546
Let s = 12727/6 - 69935/33. Let r = 83/27 + 5/54. Calculate the common denominator of s and r.
66
Let l(a) = 6*a**2 - 19*a + 4. What is the lowest common multiple of 36 and l(4)?
72
Suppose -60 = -3*l - 3*v, 4*l + 5*v + 25 - 107 = 0. What is the common denominator of (3/1)/9*459/l and 1/2?
2
Let t = -19349/4 + 4862. What is the common denominator of t and 8/5?
20
Let s(x) = -51*x**2 - 4*x + 1. Let k be s(4). Let q = k - -2156. Let n = q - 10577/8. Find the common denominator of -47/9 and n.
72
Let c = -1710/71 + 369207/923. Suppose -4*i + 0*i + 1500 = 0. Let r = c - i. What is the common denominator of 37/2 and r?
26
Suppose -6*z + 60 = -3*z. What is the smallest common multiple of z and ((-3)/(-36)*-4)/((-3)/450)?
100
Suppose -18*c - 756 = -32*c. What is the smallest common multiple of c and 36?
108
Suppose 5*k - k = 32. Let u(t) be the second derivative of -t**3/6 - 2*t**2 + 2*t. Calculate the lowest common multiple of u(-8) and k.
8
Let l = -51/7 - 13/28. Calculate the common denominator of l and (-2 - 1220/(-15))/((-32)/8).
12
Let i = 74977/17754 - 70/807. Find the common denominator of -57/20 and i.
220
Suppose -3*g + 114 = 2*q + q, -2*q - 119 = -3*g. What is the smallest common multiple of -2*-5*(-2)/(-1) and 24/10*130/g?
40
Let m(l) = l**3 + 12*l**2 + 10*l - 5. Let g be m(-11). Find the common denominator of 87/62 and 3 + -17 - g/4.
62
Let w = -64175 - -705307/11. Let q = -5105/66 - w. Calculate the common denominator of q and (-4)/6*234/8.
6
Let v = 27 - -21. Let s = 154 + -150. Calculate the lowest common multiple of s and v.
48
Let h(t) = -7*t - 2. Calculate the least common multiple of h(-14) and 2.
96
Let g(q) = 4*q. Calculate the least common multiple of 12 and g(6).
24
Suppose 9*w = -53 + 368. What is the smallest common multiple of 65 and w?
455
Let k = 103159/22 - 4687. Let u = -6001/4 - -1488. Calculate the common denominator of k and u.
44
Let r(t) = -t + 34. What is the smallest common multiple of r(2) and 16?
32
Let p be 1/((-2)/42*1). Suppose 4*z - 74 = -4*v - 10, -2*v + 4*z = -8. Find the common denominator of 103/6 and (54/84)/(v/p).
24
Let o be 8 + -9 - ((-3 - 0) + 10). Let g(a) = -a**3 - 7*a**2 + 6*a + 9. Calculate the lowest common multiple of g(o) and 20.
100
Let u = 1543/2 + -787. Suppose 5*w = -3*i + 5, 4*w - 6*w = -3*i + 19. Find the common denominator of u and (-93)/10 + w/(-10).
10
Let c(i) = i**2 + 6*i - 13. Let t be c(2). Suppose -p - o - t = -6*o, -3*p = 5*o - 11. What is the smallest common multiple of 28 and p?
28
What is the smallest common multiple of 40 + 0 + (-1 - -1) and 1 + 2/((-6)/(-39)) + 4?
360
Let s(u) = -u - 23. Let y = -20 - -36. Let r = y + -10. Calculate the smallest common multiple of s(-25) and r.
6
Let f = -7359 - -73681/10. What is the common denominator of 13/90 and f?
90
Suppose -3*b - 4*q = -1363, -2*b + 743 = 3*q - 166. Calculate the least common multiple of b and 48.
7248
Let n = 430 + -180. What is the lowest common multiple of n and 25?
250
Let x be ((-27)/6)/3 - (-132888)/884. Let k = x + -1903/13. Find the common denominator of -43/10 and k.
170
Let s(b) = -61*b + 1234. Let c be (-1 - -2)/(2/12). Let t = 6 + c. What is the least common multiple of s(20) and t?
84
Let z be 235 - (-1)/((-2)/2). Let b = -57 - -54. Find the common denominator of b + z/80 + 2 and 101/6.
120
What is the lowest common multiple of 24 and (16/12)/((-2)/(-27))?
72
Let v(i) = i**3 - 7*i**2 + 6*i + 1. Let s be v(6). Calculate the common denominator of s - (-210)/(-12)*(-26)/(-50) and -31/21.
210
Suppose -3*l = 7*l - 180. Let s = 46 + -26. Find the common denominator of (1065/s)/(l/4) and -26/7.
42
Let r(g) = g**3 + 18*g**2 - 19*g + 23. Let f be r(-19). Let j = 25 - 18. Let l = f - j. Calculate the least common multiple of 6 and l.
48
Let c be (-7)/((-1470)/(-72))*1185/6. Let d be 32772/14*(-1)/(-32). Let l = c + d. Calculate the common denominator of -23/22 and l.
176
Suppose 2*q - 435 = -i + 157, q + 4*i - 282 = 0. What is the lowest common multiple of q and 16?
2384
Calculate the common denominator of -9/40 and (-366)/(-1037)*39/9.
680
Let w be 2 - 0 - (-20235)/(-22). Let o = -918 - w. Find the common denominator of (18/8)/((-8)/(-28)) and o.
88
Let b = 13 + -5. Calculate the smallest common multiple of (-8)/(-24) - (304/(-6) - -4) and b.
376
Suppose -4*m + 4 = 0, 3*t + 5*m + 7 = 5*t. Calculate the lowest common multiple of 5 and t.
30
Let l(w) = -w**3 - 184*w**2 + 755*w - 5. What is the lowest common multiple of (-4)/(-14) + (-94)/(-14) and l(4)?
7
Suppose 2*y = -285 - 807. Let l = y - -3245/6. Let t = 3032 - 60753/20. Calculate the common denominator of t and l.
60
Let f(j) = 3*j**2 + 3*j - 1. Let l be ((-18)/(-4)*-2)/(-1). Calculate the common denominator of l/(-6) - (279/(-6) + 3) and f(2).
1
Suppose 0*n - 7 = m + 3*n, -5*m = -2*n - 33. Let j be ((-4)/10)/(1/40). What is the common denominator of m and -1 + j/(-9)*5?
9
Calculate the least common multiple of (10/35 - (-178)/14)*1 and 10.
130
Let t = 4654 - 27827/6. What is the common denominator of t and 31/33 - 12/18?
66
Let g = 88618/2673 - 925157231/32650695. Let m = 2/12215 + g. What is the common denominator of 49/9 and m?
99
Let d(k) = -k**3 + 4*k**2 - 6*k - 19. Calculate the lowest common multiple of 10 and d(-6).
3770
Suppose 4*k - 19 - 29 = 0. Suppose -k*n + 14*n - 30 = 0. What is the smallest common multiple of n and 6?
30
Let d = -515 + 1055/2. Let l = -1003 + 3035/3. What is the common denominator of l and d?
6
Suppose 10*q + 15 - 45 = 0. What is the lowest common multiple of 82 and q?
246
Let x be 112834