140
Let i = -1/500 - -33509/4500. Let w = -884/11 - -6731/88. Calculate the common denominator of i and w.
72
Let g = -3215 + 44971/14. Calculate the common denominator of ((-6)/(-72))/((-2)/(-572)) and g.
42
Let w = 4335 - 2137. Let a = -8707/4 + w. Calculate the common denominator of -53/3 and a.
12
Let d be 20/88*(-3832)/(-3). Let a = -863/3 + d. Find the common denominator of 3/(-21) + -1 + 1 and a.
77
Let v = 1165/3 - 385. Suppose -m - 2*m - 112 = -2*j, -3*m - 3*j = 132. Find the common denominator of v and ((-10)/m)/(3/4).
3
Let j = 16637/9 + -1851. Calculate the common denominator of (174/4)/(21/(-4)) and j.
63
Suppose -3*v = -7*v + 3*n - 26, 0 = -v - n - 3. Let q(i) = -i**2 - 6*i + 1. Let t be q(v). Suppose m - 1 = t. What is the least common multiple of m and 11?
77
Let r = -219149/18012 + 1/6004. What is the common denominator of r and 83/20?
60
Suppose -3*l - u = -0*l, -3*u = l. Suppose l = -a - 3*a + 96. Calculate the common denominator of -1 + 2/(a/(-13)) and 23/12.
12
Let u = 5314777/18 - 296011. Let x = -746 - u. Calculate the common denominator of 85/2 and x.
18
Let t(z) = -z**2 + 9*z - 4. Let d(y) = 6*y**2 + 161*y - 23. What is the smallest common multiple of d(-27) and t(6)?
28
What is the common denominator of -77/94 and (3/7)/(-1*4/49)?
188
Suppose -2*m - c = -5, -2*m + 33 = -5*c - 2. Let r be (-6)/4 + m/10. What is the lowest common multiple of 1 and 0 + r/(1/(-9))?
9
Let b = 18 + -17. What is the smallest common multiple of b and 1?
1
Suppose 4*u - 8 = 3*j, -3*j + 2*j + 4*u + 8 = 0. Let m = 14 + j. What is the least common multiple of m and 6?
6
Let w = 0 + -3. Let t = 5 + w. Suppose 8 = t*p - 6. Calculate the lowest common multiple of 5 and p.
35
Let p(a) = -a**2 + 4*a - 1. Let z be p(3). Let g = -8248/5 - -1656. What is the common denominator of -1 - 351/(-30) - z and g?
10
Let q be 0 - 1 - 53*-597. Let r be -2 + 0 - (-310132)/q. Let g = r + -3/1582. Calculate the common denominator of g and -21/10.
10
Calculate the common denominator of 27/(-48)*(7 - -3) and 101/20.
40
What is the common denominator of 3 + (3 - 476/48) and -47/14?
84
Let g be ((-2)/(-6))/((-5)/(-45)). Suppose g*z + 4*f = 26, 3*z = -f + 11 - 0. Suppose -z*l = -4*l + 2. What is the least common multiple of 2 and l?
2
Let h = 432598475 - 452497958309/1046. Let u = -3/523 - h. Find the common denominator of u and 57/4.
4
Let x = 6 - 5. Let f be x + 0 + 423918/(-63392). Let z = f + -1/3962. Find the common denominator of -9/16 and z.
16
Let b = -76 + 124. What is the common denominator of b and 19/5?
5
Let x = 22285 + -980621/44. Find the common denominator of 37/6 and x.
132
Let y(t) = -t + 6. Suppose -3*z + 6*z = -2*a - 18, a - 30 = 5*z. Let i be y(z). Find the common denominator of 14/i*(-39)/4 and 33/5.
40
What is the smallest common multiple of 15/(-3) - (-3 - 22) and 8?
40
Let s = -145/4 - -36. Suppose m = -2*m + 24. Calculate the common denominator of (-97)/6*6/m and s.
8
Let j be 31773/10 + (-1 - 0). Let z = -3173 + j. Calculate the common denominator of (-49)/(-98) - 54/(-20) and z.
10
Let c(s) be the second derivative of s**4/12 - 3*s**2 - s. What is the smallest common multiple of 18 and c(-4)?
90
Let n(h) = 6*h - 13. Calculate the common denominator of n(4) and (-38)/(-4)*12/(-14).
7
Let j(i) = i**2 - i + 2. Let g(y) = y**2 - 2*y - 2. What is the smallest common multiple of g(-2) and j(5)?
66
Find the common denominator of 59/7 and 1*(134/15 + (-8)/(-20)).
21
Let v = 2/18357 + -887267/110142. What is the common denominator of v and 139/54?
54
Let r be (-45)/(((-4)/(-4))/1). Find the common denominator of (-247)/r - (-12)/(-20) and 19/7.
63
Suppose 25 = 3*t + 4*l - 0*l, 26 = 2*t - 2*l. Suppose 5*r + 0*r = 0. Suppose r = 5*n - 0*n - 40. Calculate the smallest common multiple of n and t.
88
Let a = 8 - 4. What is the least common multiple of (-2)/a*(-20 + 0) and 22?
110
Suppose -1 = i - 3*j + 2, -2*j + 13 = 3*i. Calculate the lowest common multiple of i and 11.
33
Let w = -30/565921 - 20597826037/11318420. Let m = -7319/4 - w. Let q = -4553/2 - -11427/5. What is the common denominator of q and m?
10
What is the common denominator of 15/7 and (0 - -1) + 913/22?
14
Suppose 4*g - 64 = 48. What is the smallest common multiple of g and 4?
28
Let v = -965 + 9591/10. Find the common denominator of v and 411/(-63) + (-4)/(-6).
70
Suppose -15*q + 3 = -12*q. Let d = -1 - -1. Let x = d + 5. Calculate the smallest common multiple of x and q.
5
Suppose -5*b + 110 = 3*r, 3*r + 2*b = 20 + 105. What is the common denominator of -145/6 and (-213)/r - (-4)/12?
30
Let r(m) = -m + 15. Suppose -5*y = -3*j - 55, -2*j - 44 = -4*y - 0*j. Let d be r(y). Calculate the lowest common multiple of 6 and 4/(-3)*(-6)/d.
6
Suppose -3*v + 4*v - 3 = 0. Calculate the smallest common multiple of 10 and v.
30
Let x = 4309/88 + -371/8. Let n = -1378 + 5451/4. Find the common denominator of x and n.
44
Suppose -5*x + 12 = -3. Suppose 0 = x*d + 169 + 902. Find the common denominator of (-2)/(-7)*d/(-9) and -28/11.
33
Let w be (-48)/18*(-3)/2. What is the least common multiple of w/(-8)*(0 - 2) and 3?
3
Let u = -5905/3 - -59209/30. What is the common denominator of u and (-1743)/(-63)*((-6)/4 + 2)?
30
Let p(r) = r**3 - 5*r**2 - 4*r - 8. Let u = 16 + -10. Calculate the smallest common multiple of p(u) and 3.
12
Let n be (-70)/6 + 3/(-9). What is the common denominator of -121/10 and n/40*(-730)/(-36)?
60
Let a(j) = 6*j**3 + 2*j**2 - j. Let c(i) = i**3 + 6*i**2 + 5*i + 1. Let f be c(-5). Calculate the least common multiple of 10 and a(f).
70
Suppose 0*j = 5*j - 10. Calculate the common denominator of j + 67/(-2) + -1 and (-3 - -2) + 87/30.
10
Let r(k) = -k - 1. Let b be r(-8). Let t = b + 9. Calculate the lowest common multiple of t and 1/5 + (-19)/(-5).
16
Suppose 0 = -z + 6. Suppose z*j = 2*j + 32. What is the lowest common multiple of j and 2?
8
Let b(l) = -l**2 - 8*l. Suppose -4*k - 3*g = -0 - 7, -3*k = 5*g - 8. Calculate the lowest common multiple of k and b(-7).
7
Let j = -4 - -6. Suppose s = -2*s + 18. What is the lowest common multiple of s and j?
6
Let a = 0 - 0. Suppose a = -2*y + 9 + 19. Suppose 0 = -4*m + 24. Calculate the least common multiple of m and y.
42
Suppose 11 = c - 51. What is the lowest common multiple of 20 and c?
620
Suppose -6 = 5*d - 7*d. Let y = 17 + d. What is the smallest common multiple of 10 and y?
20
Suppose 32 - 8 = 6*p. Calculate the lowest common multiple of p and 2.
4
Suppose 73 + 33 = 2*n. Let t = 181/65 - 12/65. What is the common denominator of t and n/(-5) + 4/(-2)?
5
Let g = 403 - 889. What is the common denominator of 4/(-10) - g/(-160) and -91/22?
176
Let x be 8 - 8 - (-43478)/(-12). Let v = 3599 + x. Calculate the common denominator of v and -7/10.
30
Let t be (-314534)/(-4)*1/(-9). Let r = -8734 - t. Find the common denominator of r and 83/14.
126
Suppose 9*n - 4*l = 4*n - 11, 0 = 5*n - 2*l + 13. Let s = 1 - n. Calculate the least common multiple of s and 20.
20
Let y = 23533/8 - 2938. Suppose 4*t = 75 + 269. Calculate the common denominator of (-2)/5*t/(-4) and y.
40
Let o = 1979/5 + -385. Calculate the common denominator of o and -42/11.
55
Let g be (1 + -3)/(4/(-2)). Suppose -g = 5*y - 11. What is the smallest common multiple of y and 15/45 - (-20)/3?
14
Suppose -3*o + 80 = -7*o. Let t be 1/2 + o/(-24). Let z = t + -35/24. Calculate the common denominator of 49/6 and z.
24
Let f be 119279/88 + 8/44. Let b = 1358 - f. What is the common denominator of 113/12 and b?
24
Calculate the common denominator of (42/(-20) - -2)/((-18)/864) and 34/23.
115
Let j = 10/3161 + 401267/56898. What is the common denominator of j and 15/8?
72
Let j(i) be the second derivative of 2*i**5/5 - i**4/12 + i**3/6 + 7*i. What is the least common multiple of j(1) and 2?
8
Let d be (-5)/7 - (-4)/(-14). What is the common denominator of (134/(-108))/(d/3) and (1/(-3))/(2/(-303))?
18
Let o be -2 - 4/(-2) - -4. Suppose 6 = -2*g - p + 34, 0 = 5*g - o*p - 96. Suppose c - 3*c = -g. What is the lowest common multiple of c and 10?
40
Let a(h) = -78*h + 2. Let y be a(4). Calculate the common denominator of 101/8 and 2/(-8) - y/24.
24
Let h be 2/((-6)/(-236391)) + -2. Suppose 3*r - 18066 = -h. Let l = r - -242767/12. Calculate the common denominator of l and 71/2.
12
Let f = 