c) = c**2 - 12*c + 23. What is the smallest common multiple of 16 and u(11)?
48
Find the common denominator of (-5 - 11/(-4))/(42/(-148)) and 53/10.
70
Let y(b) = -b**2 - 6*b + 8. Let n be y(6). What is the common denominator of (-3)/9 - 208/42 and ((-6)/28)/((-6)/n)?
7
Let w(k) = k**3 + 4*k**2 - k + 1. Let j be w(-4). Suppose 0*t = j*t. Suppose -i = -t*i - 18. Calculate the lowest common multiple of i and 18.
18
Let u = 3/13705 + 1384163/191870. Find the common denominator of u and 15/38.
266
Let q(k) = 2*k - 4. Let n(w) = -w + 5. Let c(f) = -5*n(f) - 6*q(f). Suppose 0 = -2*x + 2 - 4. What is the lowest common multiple of c(x) and 11?
66
Let k = 36 - 15. Calculate the least common multiple of 54 and k.
378
Let n be 3/(-1)*(-112)/42. What is the common denominator of 172/320 - n/(-20) and -23/12?
48
Let l = 7563 - 60415/8. Let o = 255700652480 + -23657680068531019/92521. Let s = -2/8411 + o. Find the common denominator of s and l.
88
Suppose -2*d - x = 1 - 8, -3*d + 13 = 2*x. What is the lowest common multiple of 12 and (d/3)/(10/240)?
24
Find the common denominator of -37/10 and (-10)/(-15) + 447/18.
10
Let m(z) = 32*z**2 - 2*z - 1. What is the smallest common multiple of m(-1) and 33?
33
What is the smallest common multiple of (1/3 - 1) + 760/60 and 12?
12
Let o be 18/27 + (-13)/(-3). Calculate the common denominator of (-1)/o - 1386/245 and -109/6.
42
Let b be -5*4*6/(-5). Suppose 9 = -4*p - 23. Calculate the common denominator of 6/p + 141/b and 61/8.
8
Suppose -5*m = -5*s + 10, 4*s + 4*m = -20 + 4. Suppose o - 5*j = 2*o + 99, -5*o + j = 573. Calculate the common denominator of 61/9 and (3/30)/s*o.
45
Let m = 63 + -41. What is the smallest common multiple of m and 2?
22
Let r(l) = -l**2 - 7*l - 6. Let a be r(-5). Let v = 1277 - 2483/2. Calculate the common denominator of 6/a + (-38)/(-32) and v.
16
Let v = -9971/6 - -1672. Calculate the common denominator of v and (-1)/4*((-184)/5)/4.
30
Suppose 2*p - 29 = 3*k + 2*k, 5*k = 3*p - 31. What is the least common multiple of -1 + -2 - -13 - -4 and p?
14
What is the common denominator of 113/6 and 78/(-2)*20/(-108)?
18
Suppose 0 = -3*k + 26 - 8. Calculate the least common multiple of k and 12.
12
Let o(r) = -2*r. Let y be o(-2). Suppose -q = y*t - 3*q - 88, 16 = 4*q. Calculate the common denominator of 178/t - 7/(-21) and 79/4.
4
Let h = 11587/5346 + -2/2673. What is the common denominator of h and -117/40?
120
Let m(v) = 0*v - 3*v + 1 - 4*v. Let a be m(5). Find the common denominator of -133/6 and ((-10)/(-240))/(1/a).
12
Let g be (-1)/6 - 2586/(-72). Let o be (-5558)/120 + 4/10. Let f = o + g. What is the common denominator of f and -25/2?
6
Find the common denominator of 95/14 and 129/8 + 20/(-5).
56
Suppose 0 = -3*k + 1 + 8. Let m be (k - 1)/((-2)/(-3)). Suppose m*v = -1 + 7. Calculate the least common multiple of v and 6.
6
Let j = 34 - 28. What is the least common multiple of 5 and j?
30
What is the common denominator of 65/16 and 818/360 - (-6)/30?
144
Let g = -2 - -8. Calculate the lowest common multiple of 9 and g.
18
Let q be 2*(-10 - 3 - 0). Calculate the common denominator of 103/12 and ((-4)/(-12))/(q/183).
156
Suppose -p = 3*x - 9, 0*x + 2*x - 4*p - 6 = 0. Let o = -34 - -38. Calculate the smallest common multiple of x and o.
12
Let g(p) be the second derivative of p**5/10 - p**4/6 - p**3/6 - p. Let s be g(2). What is the lowest common multiple of 3 and (s/(-8))/((-3)/12)?
3
Let h = 12/11 + -139/77. Find the common denominator of h and -101/6.
42
Let r = 12 + 6. What is the smallest common multiple of 8 and r?
72
Suppose 5*f + 0 = 10. Suppose -5*v = -f - 8. Suppose 16 = v*a - l - 16, -44 = -4*a - 3*l. What is the lowest common multiple of 2 and a?
14
Let z be (-715)/(-20) + 1/4. Let c = -1 + 7. Find the common denominator of -51/16 and 483/z*c/(-63).
144
Let i(w) = -8*w**3 - w**2 + 1. Let l(g) = 931*g - 4. Let a be l(5). Let j = a - 46463/10. Calculate the common denominator of j and i(1).
10
Let m be (-113)/(-3) + 4/(-6). Find the common denominator of -23/10 and (m/5)/((-16)/(-40)).
10
Let v = -54 - -37. Let c = -11 - v. Calculate the least common multiple of 11 and c.
66
Suppose 5*a = -4*u + 76, 5*u - 4 = 4*u. Let s(z) = z**3 - 5*z**2 + 6*z - 2. What is the least common multiple of s(4) and a?
12
Let q = 2659196 - 63835583/24. Let l = 1/4672 - -8554429/14016. Let o = l + q. What is the common denominator of o and 35/9?
72
Let y(z) = -4*z + 6. Let d(g) = 1. Let t(n) = -3*d(n) - y(n). Let b(o) = -o - 3. What is the lowest common multiple of t(4) and b(-6)?
21
Suppose 8*g - 3*g + 45 = 0. Find the common denominator of g and 4/3.
3
Suppose -l = -3*l + 4. Find the common denominator of 17/4*(1 + l) and 103/(-18) + -1 + 0.
36
Suppose 2*r = r + 4. Suppose 0 = -5*w + 4*w + r. Calculate the smallest common multiple of 18 and w.
36
Let z(o) = -3*o + 0*o + 6 + o**2 - o**3 - 4 - 7*o**2. Calculate the least common multiple of z(-6) and 22.
220
Calculate the common denominator of 3/(-15)*565/(-12) and (172/18 + 5)/((-2)/3).
12
Find the common denominator of 119/6 and 0 + 1 + (-17)/7.
42
Let f(s) = 2*s**2 - 1 + s**3 - 3*s - 2 + 0. Let n = 18 + -20. Calculate the lowest common multiple of 7 and f(n).
21
Let w(a) = 109*a**3 + a**2 + a + 4. Let t be w(-3). Let k = -64563/22 - t. Let z = 68345/12 + -5686. Find the common denominator of k and z.
132
Let f(d) = -3*d - 2. Let s be f(-2). Suppose s*p - 44 = -0. Calculate the least common multiple of 1 and p.
11
Let x(b) = 7*b - 65. Calculate the lowest common multiple of x(13) and 18.
234
Let l be (0 - (-2 - -1))*-4. Let h be (-2 - l)/((-3)/(-135)). What is the common denominator of 1/10*(h + 3) and 10/11?
110
Let o = -2550 + 12704/5. Calculate the common denominator of -47/9 and o.
45
Suppose 57 = 3*t + 3*q, -5*t - 6 = q - 81. Suppose 2*l = -0 + 36. Calculate the lowest common multiple of t and l.
126
Let f = 72 - 141/2. Calculate the common denominator of f and 27/13.
26
Let p = -1925 + 3779/2. What is the common denominator of 25/12 and p?
12
Let r(j) = -j**3 + 6*j**2 - 3*j. Suppose -5*w - 17 = 3*o - 4, 0 = 5*w + 25. What is the smallest common multiple of 18 and r(o)?
180
What is the common denominator of 130/16 - (-16)/4 and 127/12?
24
Let c = -6 - -12. Let y(z) = z**2 - 5*z - 1. Calculate the lowest common multiple of y(c) and 4.
20
Let i = 758 + -415. Calculate the lowest common multiple of i/35 - 8/10 and 3.
9
Suppose 140 = 4*a - 100. Suppose -4*r - a = r. Let g = r - -23. What is the least common multiple of g and 1?
11
Let j(w) = -w**3 - 8*w**2 + 1 + 5 - 4. Let o be ((-6)/4)/((-9)/(-48)). Calculate the least common multiple of j(o) and 18.
18
Suppose z - 3*c + 1294 = 0, -2*z = c + 81 + 2479. Let y = z + 3896/3. Let l = 6651/2080 - -1/416. Find the common denominator of y and l.
15
Let l(a) = -7*a**2 + a + 1. Let z be l(6). What is the common denominator of z/40 + (1 - 2) and 37/5?
40
Let c be (15 + -11)/(4/(-6)). What is the common denominator of (3 - (-2)/c)*-5 and -49/9?
9
Let k = -369828 - -1462877/4. Let t = k + 4084. Calculate the common denominator of 41/10 and t.
20
Let n(q) be the second derivative of -q**4/12 + 5*q**3/3 + 6*q**2 - 7*q. Calculate the lowest common multiple of 2 and n(11).
2
Let o = 75 - 54. What is the lowest common multiple of o and 30?
210
Let n = 13419 + -201212/15. Find the common denominator of n and 31/11.
165
Suppose 0*z - 3*z + 12 = 0. Suppose -4*b = -4*k - 375 + 71, z*k = -b + 56. Calculate the common denominator of -31/5 and -1 + b/15 + 0.
5
Let g(i) = 5*i**2 - 2*i + 4. Let q be g(3). Let p = -3 - -8. Suppose -177 = -p*h + q. Find the common denominator of h and -51/4.
4
Let f(m) = -6*m + 6. Let o be f(8). What is the common denominator of (o/44 + 1)*89 and -5/18?
198
Let g(i) = 3*i - 1. Let o be g(3). Suppose o*h - 3*h + q = 27304, 0 = 2*h + q - 10924. Let b = -49214/9 + h. Calculate the common denominator of 93/2 and b.
18
What is the least common multiple of 2 and 1*2*(-437)/(-23)?
38
Let d = -103/2 - -165/4. What is the common denominator of -1/6 and d?
12
Let m = 4 - 7. Calculate the least common multiple of (3/m - 1) + 8 and 1.
6
Suppose -5*k + 18 = 4*v, 4*k + 5*v - v - 16 = 0. Let w = -22 + 40. Calculate the common denominator of -67/18 and k/9 + (-235)/w.
18
Let l(g) = g**3 + 9*g**2 - 7. Let s be