 q = 96145/12 - 8007. Let z = 1773 - 972. Calculate the common denominator of q and 4/2 - z/54.
12
Let v(x) = x**2 - x + 2. Let y(n) be the first derivative of n**2/2 - 13*n + 9. What is the smallest common multiple of y(17) and v(-2)?
8
Suppose -153 = -4*b + 6*d - 9*d, -151 = -4*b - 5*d. What is the least common multiple of 104 and b?
312
Let m(d) = d**3 + 4*d**2 + 5. What is the lowest common multiple of m(0) and 447?
2235
Suppose -3*v = 3*p - 222, 0 = -v - 3*p + 12 + 54. What is the common denominator of 96/(-52) + 2 + 1171/v and 119/40?
120
Let y(h) = -4*h + 60. Calculate the smallest common multiple of y(14) and 28.
28
Let c be 4 - (-1)/((-1)/4). Suppose c*m + m = 8. What is the common denominator of 89/18 and (2/(-18))/(m/(-60))?
18
Suppose -n - 117 = -133. Calculate the lowest common multiple of 912 and n.
912
What is the lowest common multiple of ((-33480)/(-16))/31*4/6 and 135?
135
What is the common denominator of 31 and (-206)/440 + (-13)/52?
110
Let n(s) = -s**3 + 6*s**2 + 9*s. Calculate the least common multiple of 22 - (-16)/(-3)*36/48 and n(7).
126
Let i be 205/(-82)*18/(-10)*2. Calculate the common denominator of (-1 + 2)*3/i and 53/6.
6
Suppose -3*s + 14 = -2*b, 5*s + 4*b = 8*b + 26. Let z(d) = -10*d**2 + d - 1. Let f be z(1). Calculate the least common multiple of s and ((-12)/(-10))/((-1)/f).
12
Let t be 24/20*5/1. What is the common denominator of t/9 + 237/(-18) and -2 + -2 + 23 + (-1)/(-4)?
4
Let b = -13 + 12. What is the least common multiple of 12 and b + 4 + (-21)/(-3)?
60
Let o(v) = 39*v - 1. Let u be o(-1). Let z = 22 + u. What is the common denominator of -7/8 and (2 - z/8) + -2?
8
What is the least common multiple of 4 and (-36)/(-8)*496/12?
372
What is the smallest common multiple of (-10)/(-20) + (-1004)/(-8) and 54?
378
Suppose -5*v - s - 99 = -0*s, 4*s - 4 = 0. Let w = v - -22. What is the least common multiple of w and 2?
2
Let k(v) = v**3 + 6*v**2 + 3*v + 4. Let x be k(-6). Find the common denominator of 143/(-30) - (3 + x/6) and -19/30.
30
Let h(y) = y**3 - 12*y**2 - 6*y + 18. Let z be h(17). Let i = 2791/2 - z. What is the common denominator of i and 41/6?
6
Let r = -57054/11 - -1941871/374. Let c = -1038277 + 88254798/85. Let k = r - c. What is the common denominator of -151/6 and k?
30
Let l = 0 + 6. Calculate the common denominator of -5/6 and 297/l*(-5)/(-150).
60
Suppose s - 2*v = -3, -s - 4*v + 21 = -0. Calculate the least common multiple of 40 and s.
40
Let s = -93 - -103. Suppose -4*m + 20 = 5*d, 4*d = 2*m - 6*m + 24. What is the least common multiple of m and s?
10
Let o be 5/(-15) + (-40697)/(-2713). Let s = 2/2713 - o. What is the common denominator of 52/3 and s?
3
Suppose 6 = -2*m, -5*w + 0*m - 113 = -4*m. Let u = 48 + w. Let j = 31 - u. Calculate the lowest common multiple of 5 and j.
40
Suppose i + 2*f = 24, -83*f + 52 = 2*i - 78*f. Calculate the least common multiple of 24 and i.
48
Let t be -3 + -129*47/(-518). Let d = t - 31/74. Calculate the common denominator of -5/6 and d.
42
Let q be (-7320)/19776*44/(-3). Let s = q - 27/103. What is the common denominator of -26/9 and s?
18
Suppose -61 = 4*y - 177. Calculate the smallest common multiple of 7 and y.
203
Suppose w + 5*q - 29 = 0, 5*w = -4*q - 0 + 40. Suppose -b + 5*g - 2 = 11, -w*g + 2 = -5*b. Calculate the least common multiple of 8 and b.
8
Let c be 1 + ((-2)/(-2) - 7). Let g be 1/c + 1134/(-10). Let w = g - -3043/30. Calculate the common denominator of w and 59/5.
30
Suppose -2*x - 2*x = -32. Let s(g) = -2*g**2 - 73*g + 332. What is the smallest common multiple of s(-40) and x?
104
Let n = 34559/7515 - -2/1503. Calculate the common denominator of n and -25/2.
10
Suppose 0 = 5*m - m - 3*u - 57, -61 = -4*m - u. What is the common denominator of 19/8 and 23/m*-1*6?
40
Find the common denominator of 69/2 and ((16/276)/2)/((-320)/564).
920
Let l be 5519370/(-396) + (-1)/3. Let h = -13941 - l. Find the common denominator of 2/10 - (-45)/6 and h.
110
Let k = 677/21 - 11209/420. Find the common denominator of (-1346)/(-480) - (-6)/45 and k.
80
Let h(y) = -y**2 + 9*y - 4. Suppose 3*b = -2*p - 10 - 30, -44 = 2*b - 3*p. Let n = -9 - b. What is the least common multiple of h(n) and 14?
70
Suppose 18*h + 3*p - 9 = 13*h, 3*h + 1 = -5*p. What is the lowest common multiple of h and 213?
213
Let l = 376891/33 - 11419. What is the common denominator of l and 113/18?
198
Suppose -p - 5*f + 9 = 0, 0 = 10*f - 12*f. Let r(b) = -b**2 + 8*b - 7. Calculate the least common multiple of r(5) and p.
72
Calculate the least common multiple of (1/6)/(1/6 + 0) and 3.
3
Suppose 4*h = 2*h - 4*i + 44, -h + 7 = -3*i. Find the common denominator of -2 + 43*2/h and 4/14 + (-346)/280.
40
Calculate the lowest common multiple of (-12 - -1) + (-148 - -223) and 160.
320
What is the common denominator of (58/3)/(2496/(-108)) and 25/52?
104
Let s be (1 - (2 + (-18)/15))/(-1). Let r = 297/10 + s. What is the common denominator of -109/28 and r?
28
Let c(t) = 0*t**2 - 11 - 68*t + 56*t + t**2. Let a be c(13). Suppose a*j = -2*i + 38, i - 5*j - 3 = -2. Calculate the lowest common multiple of 20 and i.
80
Let p(x) = 6*x**3 + 3*x**2 - 3*x - 9. What is the common denominator of p(-2) and -39/2?
2
Let b = 83438/18465 - -18/1231. Let u = 4891/22 + -1337/6. Calculate the common denominator of u and b.
165
Suppose y + 4*y = -3*j + 8, -4*y = 4*j - 8. What is the smallest common multiple of 0 + 4/(j - 0) and 22?
44
Let l be 2*(-3)/6*(1 + -59). Let s = -31 + l. Calculate the smallest common multiple of 9 and s.
27
What is the common denominator of 1 - 2 - (-1980)/80 and 3 - 6 - (-500)/186?
372
Let b = -312 - -360. What is the least common multiple of b and 24?
48
Let x = -3942/5 + 780. Let y = -22918/1563 - 2/521. What is the common denominator of y and x?
15
Suppose 7*w + 12 = 4*w. Calculate the common denominator of (120/45)/(w/6) and -16.
1
Suppose h + d + 327 = 0, -d + 1283 = 2*h - 6*h. What is the common denominator of -44 and h/(-20) + -4 + 0?
10
Let t = 927 - 4617/5. Let h = 20 + -15. Calculate the common denominator of h and t.
5
Let r be 5/(-5)*76261/(-8). Let a = r - 9545. Find the common denominator of (6/18)/((-2)/100) and a.
24
What is the common denominator of (-154)/(-2618) + (-982)/2244 and 25/11?
66
Let l be (-536)/(-14) - (-8)/(-28). Let a = l - 10. Let o(y) = -y**2 + 4*y + 25. Calculate the lowest common multiple of o(7) and a.
28
Let y(q) = -2*q + 2. Let m = 907 + -893. Calculate the least common multiple of m and y(-2).
42
Let h(i) = 6*i**2 - 11*i + 18. Let x be h(-6). Let b = 15 + -10. Calculate the lowest common multiple of 10 and (8/b)/(24/x).
20
What is the smallest common multiple of (4 + -1)*(-806)/(-39) and 2?
62
Suppose 8*m = 5*m + 12. Suppose -3*t = 2*j + 42, j + m*t + t = -14. Let b = 52 + j. Find the common denominator of 25 and b.
1
Let r be ((-196)/246)/(16/470). Let n = r + 39/164. Calculate the common denominator of n and 1/4 - 187/4.
6
Let s = 38 - 37. Let a = 23/4 + s. What is the common denominator of 93/14 and a?
28
Let b = -3445 + 82597/24. What is the common denominator of b and ((-7)/2)/(200/(-30))?
120
Calculate the least common multiple of 392 and (-1)/((-4)/(-1)) - (-100605)/228.
3528
Let w(d) = -d**3 + 6*d**2 - 5*d + 4. Let j = -29 - -39. What is the lowest common multiple of w(5) and (-1)/(((-2)/4)/(25/j))?
20
Suppose 0 = -3*g + 4*q + 32, 3*q + 5 + 1 = 0. Calculate the smallest common multiple of 18 and g*1/2 - 0.
36
Suppose -3*b - 2*u + 46 = -10, -3*b + 44 = -u. Calculate the common denominator of 71/4 and (5/3)/(b/(-33)).
16
Let q(a) = 4*a**2 - 4*a - 5 - 9 + 3*a**2 - 5*a**2. Let v be q(-4). Let z = -26 + v. What is the least common multiple of 4 and z?
8
Let o = 108 - 112. Find the common denominator of o/(280/505) + -1 and (-4)/14 + (-583)/(-56).
56
Let j = 32/13 + -620/273. Let h be -34*28/316 + 1 + 2. Let z = -2129/316 + h. What is the common denominator of j and z?
84
Suppose -30*w + 251 = -79. What is the lowest common multiple of 121 and w?
121
Let w = 28 - 32. What is the common denominator of -8 - -6 - 21/w and 19/9?
36
Let m = -1616 - 551. Let d = 8615/4 + m. Calculate the common denominator of -55/18 and d.
36
Let u = 77 + -82. Calculate the common denominator of u/(-12)*441/42 and 1/6.
24
Let z = 7779/5456 - -4/341. Calculate 