?
10
Let s(f) = f - 2. Let a(n) = -6*n + 11. Let t(v) = 6*a(v) + 34*s(v). Let d be t(-4). What is the common denominator of (-2)/d + (-163)/(-21) and -36/5?
35
Suppose 13 = 4*z - 11. What is the common denominator of (-40)/(-11) + 3/z and 39/4?
44
What is the common denominator of 46/(-32) + -3 + 0/(-2) and -69/4?
16
Let a be (-6)/9*(-6)/(-4). Let s(d) = -9*d + 1. Let m(w) = 2*w + 4. Calculate the smallest common multiple of s(a) and m(7).
90
Let n be -1 + 4/(12/15). Let r = -2 + n. Suppose -2*l + 4 + 0 = j, 0 = -2*j + r*l + 38. What is the least common multiple of j and 2?
14
Let d be 3/(-15) - 118234/30. Let y = -118609/30 - d. Calculate the common denominator of y and -101/8.
40
Suppose -5*t + 141 = 101. Let f(k) = 3*k - 5. Calculate the least common multiple of f(5) and t.
40
Let h = -1/36 - -1457/51156. Let q be ((-2)/6)/(8526/47484). Let d = h - q. Calculate the common denominator of d and 54/5.
35
Let o = 47 + -33. Calculate the lowest common multiple of 14 and o.
14
Suppose 3*a = -4*r + 19, a + 2*r = 2*a - 13. What is the least common multiple of a and 9?
9
Let z be 2/(4 + 1520/(-382)). Let h = z + -705/8. Find the common denominator of h and -25/16.
16
Suppose -135 = -60*j + 55*j. Calculate the lowest common multiple of j and 30.
270
Let l = -73 + 94. What is the least common multiple of l and 8?
168
Suppose 8 = 3*a + 2. Suppose 3*o - 11 = -2*q + 3, o + 7 = -3*q. What is the least common multiple of a and o?
8
Calculate the common denominator of 2 + -4 + (-127)/(-14) and -75/22.
154
Calculate the common denominator of 7/(-14) - (-11)/8 and ((-4)/(-96))/((-2)/(-268)).
24
Let y = 2/2345 - -1188899/18760. Let v = 60 - y. What is the common denominator of 77/(-4) + (-1 - 0)*0 and v?
8
Let q be (3/6)/((-2)/4). What is the common denominator of 85*2/(-8) + q and 15/16?
16
Calculate the common denominator of 137/6 and 4 + (-85)/(-2) - (-3 + 1).
6
Let o(c) = -c**2 + 5*c + 4. Let p be o(8). What is the lowest common multiple of -3 + 1 - p/2 and 2?
8
Suppose 0*r - 2*r + 22 = 0. Let v = r - -1. Calculate the smallest common multiple of v and 2.
12
Find the common denominator of 2/(-10) + (-54593)/2310 and (6/(-16))/((-30)/92).
60
What is the common denominator of ((-20)/(-55))/(12/10) and 1/15?
165
Let u be 6/21 + 75/7. Let p = u + -25. What is the common denominator of 31/12 and (-460)/p*4/(-16)?
84
Let m = 1 - -1. What is the least common multiple of m*-5*(6 + -7) and 10?
10
Let n(z) = -z**3 + 8*z**2 + 10*z - 1. Suppose 0 = -2*a + 6, -4*a = -5*l + l + 4. Calculate the least common multiple of n(9) and l.
8
Suppose -15 = -4*w + 5. Suppose 10 = -w*z, -z - 11 - 3 = -3*a. Calculate the smallest common multiple of a and 2.
4
Let b be ((-822)/(-21))/((-4)/(-113)). Let s = 1107 - b. Let o = -96147/16 + 6015. What is the common denominator of s and o?
112
What is the common denominator of ((-24)/15)/((-42)/195) and -2*((-15)/(-4) - -3)?
14
Let v(o) = -o**3 - 9*o**2 + 5. Calculate the smallest common multiple of v(-9) and 2.
10
Let q be ((-34)/12110)/((-3)/445734). Let j = q + -8042328527/19545540. Let k = j + -25/807. Find the common denominator of k and -31/20.
20
Let x be -4 + (0 - -1) + 1. Calculate the common denominator of 25/16 and (-213)/54 + x - 2.
144
Let n = -2394 + 14407/6. Let g = 18 + 0. Calculate the common denominator of g and n.
6
Find the common denominator of ((-1)/(-16)*2)/(7/(-602)) and 103/6.
12
Let g be 28/88 - -1*1. Let o = 581/110 + g. What is the common denominator of -89/8 and o?
40
Let o = 24/79 + -4509/1580. What is the common denominator of o and -47/20?
20
Let r be 41/(-1) + 0/(-3). Let w = -946 + 7515/8. What is the common denominator of r/6 - (-1 + 3) and w?
24
Suppose 0 = -3*j - 0*j - 5*y + 11, -4*j - 5*y = -13. Suppose 0 = -2*g - j*g - 36. What is the lowest common multiple of 10 and 3/g*(-2 + -31)?
110
Calculate the common denominator of 17/8 and ((-1)/(22/85))/1.
88
Let u(s) = -s**3 + 5*s**2 - 2*s + 1. Let o(y) = -9*y - 158. What is the lowest common multiple of u(4) and o(-18)?
36
Calculate the lowest common multiple of 2 - (1 - 29)/4 and 2.
18
Calculate the common denominator of (-270)/154 + (-18)/(-99) and 12/13.
91
What is the smallest common multiple of (-171)/(-27) + (-3 - (-8)/3) and 22?
66
Let l(h) = 6*h - 6. Let x be l(5). Suppose 8*b - 4*b = x. Find the common denominator of 99/20 and 95/b*3/4.
40
Let j(t) = t**3 - 17*t**2 - 2*t + 7. Let f be j(17). Calculate the lowest common multiple of (2 - 0)/(1 + 0) and 2/3 - 414/f.
16
Let x = -18 - -28. What is the lowest common multiple of x and 20?
20
Suppose -2*s + s + 8 = 0. Suppose 3*q = -5*f + 41, -6*q = -3*f - 4*q + 36. What is the least common multiple of f and s?
40
Suppose t - 35 + 15 = 0. What is the least common multiple of 12 and t?
60
Suppose 0*c - 6 = -2*c. Let x be 6/8 - (-195)/(-4). Calculate the common denominator of 31/18 and (10/x)/((-1)/c).
72
Let d be -3 - (2329 - 6/2). Let w = d + 14087/6. Find the common denominator of w and -52/11.
66
What is the least common multiple of 2 and ((-126)/105)/(1/(-15))?
18
Suppose 4 = -4*y - 12. What is the common denominator of ((-1)/(-2))/(132/(-708)) and 2/(-8) - 39/y?
22
Let x be (-34)/(-8) - 2/8. Suppose -3*c = -3*q + 6, 3*q - q = x*c. Suppose q*b = -44 + 132. Calculate the least common multiple of b and 8.
88
Suppose -9*j + 5*j = -40. Suppose -4*g - 36 = -j*g. Let c(m) = -m - 5. What is the least common multiple of g and c(-7)?
6
Let q = 677/145 + 9/290. Find the common denominator of q and 89/12.
60
Suppose -2*y + 5*i + 18 = 2*i, 4*y - 46 = i. What is the smallest common multiple of y and 20?
60
Suppose -2*g + 4*g + 34 = 0. Let f = -9 - g. What is the least common multiple of 11 and f?
88
Let n(h) = -10*h**2 - 2*h + 1. Let x be n(1). Suppose -2*w + 7 = -t + 2*w, -w - 41 = -5*t. What is the common denominator of -33/8 and 6/t - x/(-6)?
24
Find the common denominator of 62/(-4) + 2/8 and ((-45)/25)/(4/(-25)).
4
What is the common denominator of 1 + (-12)/10 + (-10229)/(-2120) and 13/22?
88
Suppose 2*s - 5 = -y, -s + 3*y = -6*s + 13. Suppose 4 = -2*a + 3*a, -5*n + s*a + 2 = 0. What is the lowest common multiple of n and 14?
14
Let d be 2/7 - 696/(-14). Suppose -2*q - 50 = -2*h, -3*h = -6*h - 2*q + d. What is the smallest common multiple of h and 10?
20
Let g = 101 + -58. Calculate the common denominator of (1 - 363/54)*-3 and g.
6
Suppose -t = 4*t - 80. Let i = 16 + t. Suppose i = 3*b - z, z = 5*b - 11 - 39. What is the lowest common multiple of 1 and b?
9
Suppose -2*j + 327 + 1225 = 0. Calculate the common denominator of 121/12 and ((-3)/(-8))/(12/j).
12
What is the common denominator of 53/42 and -1 + 9/6 - (-138)/9?
42
Let k be 11/3*(2 - 5). Let p = 12 + k. Calculate the least common multiple of 2 and p.
2
Let o = -2/1955 - 271721/23460. What is the common denominator of 22/10*(-6)/(-8) and o?
60
Let c(t) = t**2 + 7*t - 6. Let o be c(-8). Let q = -4 + 5. Calculate the least common multiple of (3 - (4 - o))/q and 11.
11
Let w = -36029/12 - -2997. Find the common denominator of w and -93/142.
852
Let u = -3609 + 25217/7. Let q(o) = -18*o**3 - o**2 + 2*o - 1. Let g be q(1). Find the common denominator of u and (0 - 2) + 82/g.
63
Let a = -30709/11248 + 30/703. Find the common denominator of 37/2 and a.
16
Suppose -3*b + j + 37 = 0, -1 = 2*j + 1. Calculate the smallest common multiple of 22 and b.
132
Suppose 5*g - 8*g - 2*d + 19 = 0, 0 = -2*g + 3*d - 9. What is the lowest common multiple of 24 and g?
24
Let d(f) = f**3 - f + 12. What is the smallest common multiple of 14 and d(0)?
84
Let o = 988/5 - 2087/10. What is the common denominator of 81/16 and o?
80
Suppose 0 = -2*b - 5*u + 23, -7*u = -3*u - 20. Let i(l) = -8*l**3 + l**2. What is the smallest common multiple of i(b) and 5?
45
Find the common denominator of 149/24 and 22/5*(4/3)/(-4).
120
Let h = -16 + 32. What is the smallest common multiple of 200/30*12/5 and h?
16
Calculate the common denominator of -61/16 and (-1074)/(-144) + 4/6.
16
Calculate the common denominator of -115/6 and ((-71)/4 - 1) + (-2)/(-4).
12
Let j(f) be the third derivative of 11*f**4/24 + f**3/3 - 2*f**2. What is the lowest common multiple of 4 and j(2)?
24
Let w = 1280/6401 + 911286049/89614. Let p be (10165/4)/((-2)/(-8)). Let q = w - p. Calculate the common denominator of