(a) = -a - 3. Let l be s(-5). Suppose -2 - 10 = l*b. What is the common denominator of 128/b - 2/(-1) and 38/11?
33
Let f(d) = d**3 - 11*d**2 - 11*d - 8. Let q be f(12). Suppose 4*z - 4 = w, -z + 20 = q*z. What is the smallest common multiple of w and 12?
12
Let c be (3*-1)/(-3) + 2. Suppose 3*g = 5*a - g - 30, -3*a = c*g - 18. Calculate the least common multiple of (-32)/a*-1*3 and 12.
48
Suppose 3*r + 9 = 2*g, -4*r + 44 = 2*g - 0*g. Let s = 12 + 0. What is the least common multiple of s and g?
12
What is the common denominator of 8/((-240)/(-81)) + -3 and -25/18?
90
What is the common denominator of (-23)/24*(-56)/(-42) and (-1)/(-5) + (-38)/(-4)?
90
Let n be (-4)/((-3)/(3/2)). Suppose 0*o = -5*x + 2*o + 12, -5*o + 12 = -n*x. Let w = x + -2. Calculate the smallest common multiple of 20 and w.
20
Suppose o - 3*o = -22. What is the least common multiple of o and 4/2 + (-1 - -6)?
77
Let v = -13 - -19. Let z be (1 + -1)*(-4)/8. What is the lowest common multiple of (z - 0) + (-1 - -11) and v?
30
Suppose 0*s + 5*s = 40. Calculate the lowest common multiple of 14 and s.
56
Suppose 5 + 1 = 2*r. Calculate the lowest common multiple of 5 and r.
15
Let a = -3246 + 12911/4. What is the common denominator of a and 31/2?
4
Let a be 3/(-12) + 84/16. Suppose -2*t - 1 = -2*b + 1, -a*b + 25 = 5*t. Calculate the lowest common multiple of b and 4.
12
Let d = 1/5928 - 120047/29640. Let g = d - 431/180. Let y = -30 - -56. Calculate the common denominator of y and g.
9
Let z(k) = -3*k + 19. Let h(y) = -4*y + 20. Let n(u) = -4*h(u) + 5*z(u). What is the least common multiple of 4 and n(-11)?
4
Suppose 4*a - 12 = 4. Suppose -5*v = 5*u - a*u - 16, 0 = 5*u + 3*v - 80. What is the smallest common multiple of u and 12?
48
Let k be (-5 + 6)*(1 + 85). What is the common denominator of k/(-4)*(-7)/77 and (-30)/(-28)*52/(-12)?
154
Let c be (-88)/14 - (-6)/21. Let d(t) = t**2 + 5*t - 8. Let k be d(c). Find the common denominator of -81/22 and k/(44/(-213)*-3).
22
Let k = -13373/10 + 1348. Calculate the common denominator of 22 and k.
10
Suppose 5 + 1 = 3*b. Let p be 9*(b + (-178)/(-20)). Let s = p + -97. Find the common denominator of s and -101/14.
70
Let v = -49/12 - -175/36. What is the common denominator of 3 + (-3 - 52/5) and v?
45
Suppose -i = 1 - 9. What is the least common multiple of 2 and i?
8
Let g = 13507884 + -189243591/14. Let d = g + 9520. Calculate the common denominator of 1/(-3) - (-61)/6 and d.
42
Let y be (1 - 0) + (-3154)/34. Let x = y - -14822/153. Let n = 2/457 + 26957/1371. Find the common denominator of n and x.
9
Suppose 3*h = 8 - 2. Suppose -h*g - 16 = -w, w + g = 6*g + 25. What is the smallest common multiple of w and 8/48 - (-83)/6?
70
Let l be 4 - (3 - 2/2). Let r = 22343/8290 - -4/829. Calculate the common denominator of 1/l + 1048/48 and r.
30
Let c = 2 - -6. Let v(z) = 12*z**2 + z + 1. Calculate the lowest common multiple of v(-1) and c.
24
Let f = -2482/3 + 820. Suppose 3*p + 0*z = z - 17, 0 = -4*z - 4. Calculate the common denominator of p/8 - (-71)/20 and f.
15
Suppose 0*l + 4*l = 0. Suppose l = i - 0*i - 6. What is the lowest common multiple of 10 and i?
30
Let b be -33*((-8)/(-12) + 0). Let k = b + 24. What is the smallest common multiple of 22 and k?
22
Let p = -418/5 - -3399/40. Let j = -115 - -1885/16. Calculate the common denominator of j and p.
16
Let w = 278788679/70620 - 988/3531. Suppose -2*m + 1952 = -5948. Let b = w - m. Calculate the common denominator of b and -125/12.
60
Suppose 0 = 4*u - 5*j + 33, 17 = -3*u + u + 3*j. Let b = -283 - 783. What is the common denominator of 3/14 and b/56 - 2/u?
28
Calculate the common denominator of (160/(-12))/((-2)/6) and 889/42 + 2/3.
6
Suppose -16*o + 22 = -15*o. Suppose 2*b + 2*b = 8. Calculate the smallest common multiple of o and b.
22
Let l = 2395561/463 - 5174. Let o = -3245/1852 - l. What is the common denominator of o and 511/80 - 8/40?
16
What is the least common multiple of 66*(0 - (12/8 + -2)) and 33?
33
Let u = -8 + 11. Suppose u*d - 8*d - 4*r + 57 = 0, -r - 6 = -d. What is the least common multiple of d and 2?
18
Let j = 1814/5 - 49103/135. Find the common denominator of j and -34/33.
297
Let c = 3 - 1. Let a = 4 - c. What is the least common multiple of 10 and a?
10
Let h = -4/59 - 987/236. Calculate the common denominator of h and 28.
4
Suppose 2*j = -2*j + 56. Let z = 56 - 17. Let s = -21 + z. What is the smallest common multiple of j and s?
126
Let j(p) = p**3 - 8*p**2 - p + 4. Let b be j(8). Let d = 1079/66 - 103/6. Calculate the common denominator of d and (1 + b)/((-42)/8).
77
Suppose 0 = -3*o + 5*s - 2*s + 27, 8 = -4*s. Let j(m) = -10*m**2 + m. Let v be j(1). Let i = -5 - v. What is the smallest common multiple of i and o?
28
Let f(y) = y + 7. What is the smallest common multiple of f(0) and 20?
140
Let z be (5 - -2)*6/7. Let t(l) = 4 + z*l**2 + l**3 + 1 + 7*l + 1. What is the lowest common multiple of 10 and t(-4)?
10
Let h = 7 - 5. Suppose h*s + 50 = -60. Find the common denominator of 47/4 and (-20)/s + -1 + 1.
44
Let y = 3 + -6. Let i(b) = b**2 - 1. Let w(g) = 13*g**2 + g. Calculate the least common multiple of w(1) and i(y).
56
Let g = -1407/5 - -284. What is the common denominator of 17/9 and g?
45
Let g = -6977/10 - -699. Calculate the common denominator of (-3)/12 - (-229)/44 and g.
110
Let o = -21/167 + 8456/2171. Find the common denominator of o and -7/3.
39
Let v(q) = -q**3 + 8*q**2 + 10*q - 1. Calculate the lowest common multiple of 5 and v(9).
40
Let n = -19 + 26. What is the least common multiple of n and 9?
63
Let i = 0 + 2. Let m(x) be the second derivative of x**3/6 + 7*x**2/2 - 5*x. What is the smallest common multiple of m(-4) and i?
6
Let x(h) = -h**3 + 23*h**2 - 22*h + 18. What is the smallest common multiple of x(22) and 30?
90
Suppose 28 = 4*x - 44. Let k = -14 - -20. Calculate the smallest common multiple of k and x*(-2)/(-12)*3.
18
Let b = -4152 + 41561/10. Let z(p) = 5*p + 1. Let u be z(1). Calculate the common denominator of b and 125/33 + 4/u.
110
Let n = 18679/966 + -1/322. Find the common denominator of n and -125/6.
6
Find the common denominator of 453/6*2/(-6) and 73/6.
6
Let m be -2 + 0 - 17421/198. Let j = m - -1252/11. What is the common denominator of j and (-143)/(-15)*(-15)/(-6)?
6
Let m = 106973/24 + -4459. Find the common denominator of -59/20 and m.
120
Let s = 1477/5 + -17129/60. Let z = 25211/4336 + -1/542. Calculate the common denominator of z and s.
48
Let p be 2/(264/6326 + 0). Let y = 269/6 - p. Calculate the common denominator of y and 2/(-3)*(1 + 116/16).
22
What is the smallest common multiple of 5 and (16/4 - 8)/(-2)?
10
Let m = 45157/9 - 5025. Suppose 2*q + 4*c = 52 + 8, 0 = -2*c. Find the common denominator of m and (-556)/q - (-3)/15.
9
Let m = 66 - 50. Calculate the smallest common multiple of 4 and m.
16
Let w(n) = n**3 - 4*n**2 - 4*n - 3. Let g = 3 + 7. Calculate the lowest common multiple of w(5) and g.
10
Let k(m) = -16*m - 12. Calculate the smallest common multiple of k(-1) and (-2)/(-8) - 129/(-12).
44
Suppose -3*u + 44 = u. Let x = -7 - -11. Suppose x = 2*c - l, 2*l + 0*l = 0. Calculate the least common multiple of u and c.
22
Let p(b) be the third derivative of -5/6*b**3 + 1/3*b**4 + 0*b - 1/60*b**5 + 0 + 2*b**2. Calculate the least common multiple of 8 and p(6).
56
Let i(o) = 9*o**3 + o. What is the lowest common multiple of i(1) and ((-10)/3)/(5/(-6)) + -2?
10
Let u(b) be the first derivative of -b**4/4 + 8*b**3/3 + b**2/2 + 7*b + 2. Let z be u(7). Calculate the common denominator of (-9)/z*1*-31 and 51/5.
35
Suppose -5 = -5*i - 0, -2*z + 5*i = 13. Let t(m) = -m - 9. Let g be t(z). Let v = g + 11. Calculate the lowest common multiple of v and 7.
42
Let i = 6105979/688 - 8875. Let q be 62097/22704 - (-1)/4. Let t = q + i. Find the common denominator of t and 111/20.
220
Let u be -2 + (-10)/(-2) + -1. Suppose -6*l = -u*l - 8. Let h = -6 - -24. What is the least common multiple of h and l?
18
Let i be (-2)/2*-1*5. Let u(v) = v**3 - 5*v**2 + 4*v + 2. Calculate the least common multiple of u(i) and 18.
198
Calculate the common denominator of 95/4 and 0 + (-12)/88 - -4.
44
Let j = -418/15 - -86/3. What is the common denominator of (-104)/(-792) + (-2)/9 and j?
55
Let y = 55 + -39. Suppose -3*c + 0*c = -2*z