48) - -10) and 43/77.
308
Let k(v) = v**3 + 7*v**2 + 12*v + 6. Let n be k(-5). Find the common denominator of -31/2 and (n - (-4 + 1)) + 243/147.
98
Suppose 3*w = 2*p - 2 + 6, 0 = -3*w + 3*p + 3. Let r be (-32)/(-12) + 2/(-3). Suppose 13 = r*f + 1. What is the least common multiple of f and w?
6
Let v be -2274*(-31)/(-16) - (-20 + 19). Let z = 4411 + v. Calculate the common denominator of -109/44 and z.
88
Suppose -g + 40 = 3*r, -3*g + 25*r - 22*r + 180 = 0. What is the least common multiple of 60 and g?
660
Let d = 145 + -134. Let f = 72 - 36. Calculate the least common multiple of f and d.
396
Let p be 7*(-1 + 9/7). Suppose 5*s - 10 = 0, g + p = 5*s + 1. Suppose 4*f = 17 - g. Calculate the smallest common multiple of f and 14.
14
Suppose -5*p = 3*r + 20, -r - 29 = 4*p + 4*r. What is the common denominator of 109/22 and (3 - 445/40)/(3/p)?
264
Let o be 3 + (-1 - -1) - -9. Let z(n) = n**2 + 6*n - 11 + o + 0*n**2. What is the least common multiple of 9 and z(-6)?
9
Let s = -3706 + 11164/3. What is the common denominator of s and 8/18 + (-3)/(-9)?
9
Let u = -72/29 + 2869/116. What is the common denominator of (0 + 318/(-16))*(-74)/1221 and u?
44
Let j be (-56)/(-5) - 12/60. Let b = j + -2. Calculate the lowest common multiple of 4 and b.
36
Let j = 46/2343 - 10/71. Let d = -2227/132 - j. What is the common denominator of d and -91/4?
4
Suppose -4*v = z + 1156, -z = -2*z + v - 1131. Let o be -6*3/((-36)/z). Let h = 2221/4 + o. What is the common denominator of -33/14 and h?
28
Let n = 30133/40 + -5979/8. What is the common denominator of 113/40 and n?
40
What is the common denominator of -113/54 and (18/4)/3*(-22)/(-1188)?
108
Let r(a) = -a**3 - 20*a**2 - 18*a + 24. Let b(g) = -60*g. Let u(o) = 11*o. Let z(j) = 5*b(j) + 28*u(j). Calculate the least common multiple of z(1) and r(-19).
40
Suppose 2*f - 1 = 9. Suppose -3*t - f*b + 45 = -0*t, -2*b = 2*t - 34. What is the lowest common multiple of 16 and t?
80
What is the common denominator of -37/205 and (-2173)/164*2/82?
820
Find the common denominator of 6/16*452/30 and 4 - 8*(2 + -1) - (-49)/168.
120
Let h be 6/(-8) + (-681)/84. Let d = -263/21 - h. Let i = -21617/6 + 3615. What is the common denominator of d and i?
6
Find the common denominator of -31/36 and (-2)/(-12) - (360/(-64) - -1).
72
Suppose -3*f - 195 = -2*o, 3*f - 454 = -4*o - 55. What is the least common multiple of o and 99?
99
Let d = -205 + 217. Let a = 4 - -4. Calculate the least common multiple of a and d.
24
Let s(k) = -2*k**2 + 6. Let c(b) = -1. Let v(t) = -4*c(t) - s(t). What is the smallest common multiple of v(4) and 10?
30
Suppose -3*p - w = -13 - 10, 0 = -2*p + 3*w + 8. Let n be (6/p)/(9/(-126)). Let f = n + 14. Calculate the least common multiple of 12 and f.
12
Suppose 2*h + 80 = 7*h. What is the least common multiple of h and 56?
112
Suppose -2 + 1 = j + 3*o, -3*j - o - 27 = 0. Let g = 12 + j. What is the lowest common multiple of g and 14?
14
Let j = 8 - 2. Let d(w) = -7*w**3 - w**2 - 4 + w + 8*w**3 + j. What is the least common multiple of 7 and d(2)?
56
Let w be 0 - (1 + 55716/(-56)). Let q = w + -6904/7. Find the common denominator of q and (14 + 1)*10/(-9).
42
Let m be (-16)/96 + 21917/131430. Let u = 2168579/175240 + m. Find the common denominator of u and -107/120.
120
Let n = 49/2 - 24. What is the common denominator of (-42)/(60/9 - -4) and n?
16
Let n(g) = 17. Let h(l) = l + 1. Let v(i) = -4*h(i) + n(i). Calculate the lowest common multiple of v(3) and 16.
16
Let k be 2/6 + 130/15. Suppose -m = -2*i + 7, -1 = i + 4*m - k. What is the least common multiple of i and 8?
8
Let p = 38878155772/1505 - 25832658. Let m = -1/3010 - p. Let y = -2883 - -63409/22. What is the common denominator of y and m?
154
Let q(z) = -70*z**3 + z**2 - 2*z + 1. Let p be q(1). Let v be 121746/p - (-9)/21. Let u = 1733 + v. What is the common denominator of -77/2 and u?
10
Let c be ((-142326)/9)/((-4)/6). Let l = c - 664261/28. What is the common denominator of -91/10 and l?
140
Let o = -36817 - -3865874/105. Calculate the common denominator of 145/48 and o.
1680
Let l(c) = c**3 - 3*c**2 + 3*c - 7. Let d be l(3). Suppose d*s - s = 2. What is the lowest common multiple of 14 and s?
14
Let f = -26 + 50. Suppose 3*n - 17 = 2*v, 2*v - 5*n + 13 = -10. Let l(k) = -5*k - 4. Calculate the least common multiple of f and l(v).
48
Suppose -3*o + d - 12 = -4*o, 4*o - 4*d = 80. What is the smallest common multiple of o and 18?
144
Find the common denominator of ((-196)/2793)/((-7)/(-9)) and -13/38.
266
What is the common denominator of (22 - (1 - 2))/(-3) and 16/323?
969
Suppose 11*p = 10*p + 5. What is the smallest common multiple of p and 100?
100
Suppose 1 = 3*m - 4*s - 1, -5*s = -5*m. Let l(h) = -3*h**3 - 3*h**2 + 5*h + 6. Let r be l(-3). Calculate the common denominator of (m/(-2))/(r/18) and -59/4.
20
Calculate the common denominator of 0 + 2 + (-115)/60 and (-89)/2 - (-24 + 24).
12
Suppose -l = -3*t + 166 - 32, 2*t - 3*l - 80 = 0. Suppose -7*j + 148 = -5*j - 4*v, 77 = j - 3*v. Let p = -58 + j. What is the least common multiple of p and t?
230
Calculate the lowest common multiple of 42 and 6/2 + -16 + 69 + -2.
378
Let x = -1306234/95 + 13750. Find the common denominator of x and 52/35.
665
Let l = 124/3 - 73/2. Let x = l + 11/3. Calculate the common denominator of 127/18 and x.
18
Let n(s) = 3*s - 6. Let y be n(3). Suppose -3*o = -y*k - 33, -3*o = -k - 13 - 10. Calculate the least common multiple of (-20)/o*(0 - 3) and 2.
10
Let f = -186 - -738. Find the common denominator of f/(-84)*(-14)/(-6) and 47/14.
42
Suppose 3*a - 2 = 34. Suppose 7*h - a = 3*h. Suppose 0 = z + 4, -v = -2*v - 3*z - 11. Calculate the lowest common multiple of h and v.
3
Let c be (1 - 12/9)*-9. Suppose c*g - 13 = 86. What is the least common multiple of 21 and g?
231
Suppose 0 = -5*n - y - 50, -y - 50 = 5*n - 6*y. Suppose 0*z - 14 = -z. Let l = n + z. Calculate the lowest common multiple of 20 and l.
20
Let v = -4 + 2. Let o be 12/9 - v/3. Suppose -38 = -o*c - 2*n, 0 = 2*c + n + 2*n - 37. What is the lowest common multiple of c and 14?
140
Let y(f) = -2*f**2 + 9*f + 13. Let s(t) = 3*t**2 - 9*t - 14. Let i(h) = -3*s(h) - 4*y(h). What is the smallest common multiple of 12 and i(-5)?
60
Suppose -w - 8 = -2*d - 26, -w + 19 = -3*d. Suppose -4*y + w = -8. Suppose 2*o - 10 = 2. What is the smallest common multiple of o and y?
6
Let o = 19 - 23. Let q(w) = 0 - 1 - 3 - 38*w + 34*w. What is the least common multiple of 6 and q(o)?
12
What is the smallest common multiple of (-900)/(-42) + 1 - (-24)/(-56) and 20?
220
Let v(z) = z**2 + 23*z - 74. Calculate the smallest common multiple of v(-28) and 48.
528
Let a(i) = 6*i - 39. Let w be a(8). Suppose 4*j = 3 + w. What is the common denominator of -121/70 and j?
70
Let w(n) = -10 - 7 - 4*n - 21. What is the smallest common multiple of w(-10) and 1?
2
Suppose -427 = -7*n - 140. Let w = n + -39. What is the lowest common multiple of 8 and w?
8
Let c be (-80458)/80462 - (5 - 3 - 3). Let h = -1247227/1327623 + c. What is the common denominator of h and 53/15?
165
Let a(x) = -x**2 - x + 7. Suppose 7*p - 18 = 4*p. Let t = -9 + p. Calculate the least common multiple of 4 and a(t).
4
Let a be 69 + (4 - 5 - -3). Let y = a + -62. Suppose -r - r = -h - 14, -h = 0. Calculate the smallest common multiple of r and y.
63
Suppose -2*p = -v + 30, 10*v - 5*v - 3*p = 185. What is the least common multiple of v and 32?
160
Suppose 0 = 7*y - 3*y - 40. What is the least common multiple of y and 72?
360
Suppose 0 = 4*h - 18 - 6. What is the least common multiple of 1/2*(386/2 - 1) and h?
96
Let b = -3701 + 18448/5. Let a be 1 + 288/3 - 1. What is the common denominator of (a/(-55))/(15/((-300)/8)) and b?
55
Let b = -271237/16113 - -1/10742. Calculate the common denominator of 278*(-6)/20*(-33)/(-594) and b.
30
Suppose -3*x + 5*x + 1058 = 2*w, 3*x + 1063 = 2*w. Suppose -g = -w + 188. Find the common denominator of 19/10 and 1358/g*4/(-3).
90
Suppose -g - 435 = -4*g. Suppose 9*w - g = 4*w. Let o = w + -21. Calculate the smallest common multiple of o and 2.
8
Let g(o) = o**2 - 10*o + 3. Let a be g(12). Let q = a - -29. Suppose h = -3*h + q. Calculate the smallest common multiple of h and 8.
56
Let i = -62 + 13. What is the common denominator of 49 + i - 1/((-