he common denominator of w and 31/60.
420
Suppose t - 3 = 5. Suppose -19*s = -18*s - 33. What is the smallest common multiple of (-60)/(-7) + s/77 and t?
72
Let z(p) = -p**3 - 10*p**2 - 2*p + 75. What is the smallest common multiple of z(-9) and 126?
252
Suppose -5*x = 20, -5*a - 5*x = -4*a + 19. Find the common denominator of (-42)/16*a/3 and 7/(-2) + (-1)/(-2) + 7448/(-1520).
40
Suppose -5*u - 5*y + 62 - 17 = 0, 5*u - 5*y = 45. Calculate the smallest common multiple of (-46 + 8)*2/(-4) and u.
171
Suppose 2*o = -3*k + 41 + 223, 5*k - 444 = -2*o. What is the smallest common multiple of 18 and k?
90
Let i = 3913/2 - 1954. Let x = 622 - 6193/10. What is the common denominator of x and i?
10
Suppose 56 - 488 = -6*p. Calculate the common denominator of (-36)/p - 166/(-8) and 113/(-6) - 4/2.
12
Let n be (1/((-6)/40))/((-10)/(-75)). Let v = n - -60. What is the lowest common multiple of v and 6?
30
Let o = 12 - 10. Suppose -o*j + 8 = -j. What is the smallest common multiple of j and 4 + -2 + (0 - -4)?
24
Let q = 3 + -1. Suppose 3*v - 11 = q*w, -4*v + 2*w + 8 = -2*w. Let s(c) = c**3 + 4*c**2 - 2*c - 6. Calculate the least common multiple of s(-4) and v.
14
Let i(b) = b**2 + 43*b + 150. Calculate the least common multiple of 6 and i(-40).
30
Let s = -2911/1860 + -1/620. Find the common denominator of s and -19/18.
90
Let x = -394/75 + 4/75. Let l = -231 - 66. Find the common denominator of (l/(-75))/((-4)/(-10)) and x.
10
Find the common denominator of (-304)/(-290)*(9 - 111/12) and -48/5.
145
Suppose 27*f + 60 = 29*f + 5*x, 188 = 5*f + 3*x. What is the least common multiple of 18 and f?
360
Let z(k) = k**2 + 4*k - 5. Suppose -2*p = 2*r + 4, 4*p + 2*r + 3 = -r. Calculate the smallest common multiple of z(p) and 4.
16
Let l be -170*-3*16/12. Let u be (-1 + 0)/((-17)/l). Suppose 10 = 2*c, -4*f - 2*c = f - u. What is the smallest common multiple of 2 and f?
6
Let y be 3*5/1 + -3. Let s = 14 - y. Suppose r + 3 = 0, 3*r + 14 = s*j - j. Calculate the lowest common multiple of j and 6.
30
Suppose -5*w - 4*d = -16347, -8 = -3*d + 1. Suppose -m = 2*m + w. What is the common denominator of 19/14 and m/45*(-2)/(-8)?
140
Let n(k) = -k**2 - 20*k + 7. Let v(a) = -3*a**2 - 60*a + 20. Let l(t) = -8*n(t) + 3*v(t). What is the lowest common multiple of l(-20) and 11?
44
Let q = -336245/24 + 14013. Find the common denominator of q and -101/6.
24
Let x = -296 - -303. Calculate the least common multiple of x and 261.
1827
Let p = 319 + -299. Suppose 8 = 2*k + 2. Suppose -3*o + k*n + 9 = 0, -3*n + 30 = 3*o + n. What is the least common multiple of p and o?
60
Let o be (3*-113)/(9/(-30)). Let t be o/4616 + (-5)/20. Let h = t + -34028/2885. Calculate the common denominator of 19/11 and h.
55
What is the common denominator of 2/45 and (-9)/22*16/(-24)?
495
Let a = 981 - 970. What is the smallest common multiple of a and 5?
55
Let h be (1 - 1) + 3 + 17. Let d be 9945/204 + 2/8. Calculate the common denominator of 50/7 and h/(-10) + d/(-6).
42
Calculate the least common multiple of 6 and ((-60)/(-45))/((-4)/(-36)).
12
Suppose 5*y + 457 = -663. Let h = 1111/5 + y. Find the common denominator of (2/(-15))/(3/(-99)) and h.
5
Suppose -3*q = -7*q + 368. Suppose 5*f + 2 - q = 0. Calculate the lowest common multiple of f and 68.
612
Suppose 0 = 424*x - 419*x - 200. Calculate the lowest common multiple of 28 and x.
280
Let n = 3 + -2. Suppose 4*w - 13 = -n. Find the common denominator of w/2*(-110)/12 and 73/4.
4
Let f = 629771492688518799213745613/42840378 + -14700418672508417953. Let n = -2/2380021 + f. Let t = 790 + n. Find the common denominator of 17/8 and t.
72
What is the common denominator of 121/140 and (7 + (-1963)/338)*(-2)/(-14)?
1820
Let m(u) = -u**3 - 14*u**2 + 14*u - 10. Let k be m(-15). Let v = k + -6. Find the common denominator of -133/12 and 1595/(-132) - (v - 1).
12
Let m(i) = -i + 8. Let t be m(-6). Let r = t - 8. Calculate the least common multiple of r and 3.
6
Let q(g) = g**2 + g. Let x be q(-2). Suppose u - x*u + 3 = 0. Calculate the lowest common multiple of 8 and u/12 + (-55)/(-4).
56
Suppose -j + 1 + 1 = 0. Let x = 266 + -204. Suppose -3*o + x = 2*s, -2*o - 5*s + 92 = j*o. What is the smallest common multiple of o and 2?
18
What is the common denominator of (8/(-30))/((-18)/(-55)) and -1 - (-1 + 528/90)?
135
Let n = -58 + 64. What is the common denominator of (-1)/n*45/6 and 9/8?
8
Let d(h) = 2 - 4 + 3*h**2 - 4 - 2*h**2 - 2*h. Suppose 2*g - 27 = -3*z, 4*g - 3*z = z + 24. What is the least common multiple of g and d(5)?
9
What is the common denominator of -23/12 and ((-57)/95)/((-54)/29 - -2)?
60
Let l = 15 - 12. Let q be l/(-6) + (-53)/2. Find the common denominator of -19/16 and 116/q*(-15)/(-40).
144
Suppose -4*r - 5*j + 660 = 0, 0*r + 3*r - 488 = -2*j. Let c(l) = -l**2 - 10*l - 19. Calculate the smallest common multiple of r and c(-3).
160
Let a = -10/7463 + -18797/59704. What is the common denominator of -3/136 and a?
136
Let y be (3 - (-3 + 2)) + 1. Suppose 5*v - 5 = 0, -4*v + v - 67 = -y*o. Suppose 2*z = o + 6. Calculate the least common multiple of z and 10.
10
Let i(j) = -j. Let s(m) = -2*m + 3. Let u(z) = 3*i(z) - s(z). Let n be u(-6). Let d = n + 2. What is the lowest common multiple of 12 and d?
60
Suppose -2*s - 1 = 4*a + a, -4*s - 5*a = -23. What is the lowest common multiple of s and 177?
708
Let n be ((-110)/25)/(13/(-35)). Let t = n - 6021/494. Find the common denominator of -5/14 and t.
266
Let s(g) = -4*g - 28. Let k be s(-7). Suppose 72 = 3*i + 3*o, -i - 3*o = -k*o - 32. Calculate the lowest common multiple of i and 34.
340
Suppose 22 = 11*t + 55. What is the smallest common multiple of t/(-5) - (-520)/50 and (-1)/(-1) + -1 - -11?
11
Suppose -2*h = -h - 17. Suppose 6*u - 77 = -h. What is the least common multiple of u and 11?
110
Suppose -3*l + 2*a = -0*l + 65, 2*l = 3*a - 35. What is the lowest common multiple of (60/l)/(4/(-10)) and 21?
42
Let i be 2/3 - (-32)/(-12). Let m(s) = -1 + 28*s**3 - 57*s**3 + 1 + 3*s + 1 + 28*s**3 + 2*s**2. What is the least common multiple of 11 and m(i)?
11
What is the lowest common multiple of ((-5)/((-60)/(-128)))/(10/(-45)) and 30?
240
Let v be (-5)/((-75)/6) + 240/25. Suppose -11 = -7*x + v. Calculate the lowest common multiple of 4 and x.
12
Let m = 2/11697 + -1415377/233940. Calculate the common denominator of m and -23/72.
360
Let q = -1464143 - -131774371/90. Let o = q + -478/45. Let p = -41/399 + 5497/798. Calculate the common denominator of p and o.
126
Let p = 63023/1809 - 962/27. Let w = p + -858/1541. Find the common denominator of w and 40.
23
Let d = -42223/58048 - -22/907. What is the common denominator of -77/64 and d?
64
Suppose 3*d - 105 = -4*b, -12*d + 8*d + 12 = 0. Calculate the least common multiple of 128 and b.
384
Let l = 32/59 - 5682/8083. Find the common denominator of -68/9 and l.
1233
Suppose -x + 5*x - 4 = 0. Suppose -3*l = 5*f - 57, -14*f = 8*l - 18*f - 152. Calculate the least common multiple of x and l.
19
What is the lowest common multiple of 31 and ((-14)/3)/(0 + (-24)/108)?
651
Let g = 8/1567 - -37520/17237. What is the common denominator of g and (-4)/(-6) - (-566)/(-12)?
22
Let q = 22 + -22. Suppose -3*k = -r + 11, q = 2*r - 3*r + k + 7. Suppose -72 = -o - r*o. What is the least common multiple of 6 and o?
12
Let s = -34025/6 - -5647. Calculate the common denominator of s and -113/24.
24
Suppose 7*a - 90 = 2*a. Suppose -3*y + 3*k - a = -0*k, 2*y + 4*k + 18 = 0. Let r = 16 + y. What is the lowest common multiple of r and 8?
72
Let z(o) = -o**3 - 9*o**2 - 8*o - 5. Let n be z(-8). Let u = -35 - n. What is the least common multiple of ((-26)/3)/(u/45) and 8?
104
Suppose -113 - 301 = -9*b. Calculate the smallest common multiple of 122 and b.
2806
Calculate the common denominator of (6 + -7 - 96)*1/6 and 5/1506.
1506
Let m be (0 + -149)*(-4)/36. Let o = m + 485/18. Find the common denominator of o and -37/16.
16
Let k be (-542 - 0)/(18/(-67)). Let w = -2022 + k. Find the common denominator of w and -1 + 3*29/10.
90
Suppose -59 - 29 = -4*v. Let f(i) = -i**3 + 3*i**2 + 9*i - 3. Let c be f(4). Let h = c + -5. What is the smallest common multiple of h and v?
132
Suppose 137*q - 144*q = -1064. What is the least common multiple of q and ((-14)/4)/(8/(-16))?
1064
Let u = 2/155 - 