2
Let v = 172 - 122. Let a = 799/16 - v. What is the common denominator of a and -11/12?
48
Let s(a) = 20*a - 2 - 26*a - 1. Let m be s(-3). Calculate the common denominator of 6/(-27) + m/54 and -55/14.
126
What is the lowest common multiple of 33 and 6/30 + (-3)/(30/(-358))?
396
Suppose 3*x = 31 - 7. Let w(k) = 4*k + 10. Let n(y) = -y. Let f(z) = -5*n(z) - w(z). What is the smallest common multiple of f(16) and x?
24
Calculate the common denominator of -91/108 and (-964)/640 - (-96)/60.
864
What is the smallest common multiple of 39 and ((-98)/7 - -7)*-13?
273
Let z = -2/1061 + -109259/12732. Find the common denominator of 1/(144/(-706)) - 66/297 and z.
24
Let x = 1492 + -3071/2. What is the common denominator of 59/314 and x?
314
Let h = 39 + -40. Find the common denominator of -13/4 and -15*17/(-6) - (h - 2).
4
Let h(c) = c**3 - c**2 - c. What is the least common multiple of h(2) and (-8)/14*((-209)/38 + -5)?
6
Let b be 0 - (-4462)/(-28)*5. Let u = 1763 + -2562. Let v = b - u. Find the common denominator of 1/20 and v.
140
Let f = 118135/16 - 7380. Let y = 30307/18 - 1682. Find the common denominator of y and f.
144
Let c = -47855 - -28071. Let y = -395587/20 - c. Find the common denominator of 1935/(-198)*(-2)/10 and y.
220
Suppose -2*d + 10 = -8. Let m be -21 - ((-10)/(-4) - 4/(-8)). Let c(r) = r + 30. Calculate the smallest common multiple of d and c(m).
18
Calculate the common denominator of 41*2/44 + 0 and (-3)/(-6) + 111/(-20).
220
Let v be (-1)/6 - 38/(-12). Suppose -3*o + 0*o - 5*h + 28 = 0, o = v*h. What is the least common multiple of o and 7?
42
What is the common denominator of -53/40 and 1035/460*(-18)/16?
160
Let y(q) = q**3 - 18*q**2 + q - 16. Let o be y(18). Suppose 5*v = o*v + 72. What is the lowest common multiple of v and 21?
168
What is the common denominator of -47/32 and 441/(-70)*(-25)/(-1030)?
3296
Suppose 2*a - 239 = r, 12*r + 599 = 5*a + 11*r. What is the least common multiple of 8 and a?
120
Calculate the common denominator of -21/22 and (-4)/4 - (-635)/210.
462
Suppose o = 2*c + 2 - 5, -4*o = -12. Calculate the lowest common multiple of (-60)/42*(0 + -14) and (-2)/2*c - -15.
60
Let c(z) = 2*z**2 + 2. Let h be c(-2). Suppose 0 = -2*j - 3*n + h, 5*n - 11 - 3 = -2*j. Suppose 2*p - 24 = -p. Calculate the lowest common multiple of j and p.
8
Calculate the common denominator of 7/286 and (-1)/(-6)*27/12.
1144
Suppose 701 = 2*r + 5*a, 25*r = 21*r + 5*a + 1387. What is the lowest common multiple of 10 and r?
1740
Let l = 17 + 77. Let a = l + -59. What is the common denominator of (a + -10)/(-5 - 2) and 22/3?
21
Let l(h) = -5541*h**2 + h + 1. Let i be l(-1). Let p be i/198 + (-6)/2. Let d = 570/11 + p. What is the common denominator of -41/20 and d?
60
Let w = 126/5 + -1122/35. Let d be ((-108)/(-10))/3*355. Calculate the common denominator of d/110 - 20/(-110) and w.
35
Suppose 2*p - 69 = 15. What is the least common multiple of p and 35?
210
Find the common denominator of 515/120 - (-4 + (-16)/(-4)) and 2/9.
72
Let n be (4*-1)/(0 + -2). Suppose 154 = n*b + 42. Calculate the smallest common multiple of b and 4.
56
Suppose 3*t + 3*f = 264, -3*t = -0*t + f - 262. Let z(m) = 0*m**2 - m**2 + 82*m + 3 - t*m. What is the least common multiple of 10 and z(-4)?
70
Let g = 2246657/204 - 11013. What is the common denominator of 29/6 and g?
204
Calculate the least common multiple of 4 and (-56)/(-84)*42*1.
28
Suppose 4*w = 0, -3*h - 3*w + 20 = -8*h. Let x(s) = -20*s**2 - 7*s + 4. Let o be x(h). Find the common denominator of 61/10 and 2 + 0 + 1716/o.
120
Let k = 9 + 6. Let h be (50/k)/(4/(-18)). Let p = 11 - h. Calculate the least common multiple of p and 18.
234
Let g(q) be the third derivative of q**5/60 + q**4/12 - 5*q**3/6 + 3*q**2. What is the least common multiple of g(3) and (1 - 2)*-6 - -2?
40
Let n = -8 - -21. Let p(d) = 25*d**2 + 3*d + 2. Let y be p(-1). Suppose -y = 10*u - n*u. What is the smallest common multiple of 11 and u?
88
Let a be 3*((-4)/12 - -1). What is the least common multiple of (63/(a - -5))/((-3)/(-4)) and 21?
84
Find the common denominator of ((-31)/190)/((-124)/(-248)) and 3/25.
475
Let t be (-4)/(2/(1 - 3)). Suppose 3*g + 4*f + 77 = -38, -t*f = 2*g + 70. What is the common denominator of 67/6 and 3*(-156)/g*1?
30
Suppose 4*o = -4 + 32. Let y be (-4314)/(-14) - 1/o. Find the common denominator of -53/8 and 15/21*y/(-72).
72
Let l be (3/(-12534))/((-2)/(-4)). Let r = l - 48039/16712. What is the common denominator of r and ((-10)/(-180))/(1/64)?
72
Suppose -4*c + 5*t - 117 = 0, 2*c - 2*t + 36 = -22. Let j(a) = -a - 27. Calculate the least common multiple of j(c) and 2.
2
Let b = -79606 - -25075991/315. What is the common denominator of 5/24 and b?
2520
Let c(u) = -3*u**2 + 10*u + 10. Let s be c(8). Calculate the common denominator of s/4*10/114 and -13/22.
418
Let f = -112 - -219/2. Let q = -160579501/14 + 11478275. Let k = 8315 - q. Find the common denominator of k and f.
14
Let v be (-66)/(-18) + 2/6. Suppose -v*s = -s - 105. Let m = s + -21. Calculate the lowest common multiple of 12 and m.
84
Let t be (7 - (-3 - -2)) + -3. Suppose 0 = 3*r + t*k - 110, 2*r + k = -3*r + 154. Calculate the common denominator of (2/r)/(2/695) and -55/2.
6
Let i be (26/3)/((-1)/3). Calculate the common denominator of i/4 - 2/(-3) and -41/2.
6
Suppose -j = -0*j - 18. Calculate the smallest common multiple of 400/j + 10/(-45) and 18.
198
Suppose 4*y - 16 = 0, 0 = -2*c + 5*c - 2*y + 206. Calculate the common denominator of -5/12 and (9/c)/((-8)/(-40)).
132
Suppose -2576*v = -2565*v - 2662. Calculate the lowest common multiple of 22 and v.
242
What is the common denominator of ((-17)/68)/((-6)/(-24)) - 39/(-4) and ((-74)/(-72))/((-4)/(-6))?
24
Calculate the common denominator of 27/583 and 2 + (8 - 44160/4452).
4081
Let u = -211/11 - -2579/88. Let g be (-1886)/528 - (-8)/(-12). Let m = g - -23/8. Calculate the common denominator of u and m.
88
What is the least common multiple of 4/((-20)/25) + 7 and 2?
2
Let x(c) = -c**3 - 8*c**2 + 9*c + 10. Suppose -2*r + 12 = 30. Calculate the smallest common multiple of 6 and x(r).
30
Let t(f) = -12*f. What is the least common multiple of t(-2) and 108?
216
What is the lowest common multiple of 16/3*(-7 - 119/(-14)) and 16?
16
Let m = 1046 - 965. What is the smallest common multiple of m and 63?
567
Let p = 259487/18 - 14424. What is the common denominator of 55/72 and p?
72
Suppose -2*i = -5*u + 37, 2*i + 46 = -3*u - u. Let w(c) = c. Calculate the lowest common multiple of w(2) and ((-24)/(-14))/((-2)/i).
18
Calculate the lowest common multiple of 24 and (195/208*12)/(9/12).
120
Let o(c) = c**3 - 4*c**2 - 3*c + 3. Let r be (-28)/(-6) - 1/(-3). Let x = -300 + 302. Calculate the lowest common multiple of o(r) and x.
26
Suppose -3*k = k - 72. Suppose 0*q - q - 3*h + 24 = 0, 0 = q - 3*h - k. What is the least common multiple of 2 and 1 + -2*q/(-6)?
8
Suppose 0 = a + 2*q - 11, -3*q = 7*a - 8*a - 14. What is the lowest common multiple of 512 and a?
512
Suppose 4*f = -2 + 22. Suppose m = -m - f*s - 3, -6 = 2*s. Calculate the lowest common multiple of 9 and ((-9)/(-2))/(m/12).
9
Let k = -19 - -41. What is the lowest common multiple of k and 44?
44
Let n = 9 - -2. What is the common denominator of 55/18 and (-71)/n*(-15)/(-30)?
198
Find the common denominator of 30 and 2607/480 + ((-70)/(-14))/(-1).
160
Let h be ((-30)/9)/(2/6). Let g(w) = -w**3 - 9*w**2 + 10*w + 3. Calculate the lowest common multiple of g(h) and 6.
6
Let o(y) = -y**3 - y**2 - y + 164. Let c be o(0). Let v = 239/4 + -1763/28. What is the common denominator of v and (c/(-80))/(4/10)?
56
Suppose 5*p - 34 = 3*m, p = -2*p + 4*m + 16. What is the smallest common multiple of 22 and p?
88
Let j be (206/36)/(2/3). Let x = 323/36 - j. What is the common denominator of x and -4 + -3 + 517/44?
36
Suppose 0*k + 4 = -4*k - 4*x, -3 = -2*k - x. Suppose 5*s - 11 = k. Find the common denominator of -28/3 and ((-54)/24)/(s/(-26)).
6
Suppose h + 7*t = 6*t + 18, 0 = 5*t. Calculate the smallest common multiple of 126 and h.
126
Let j(s) = -s + 31. Calculate the least common multiple of 192 and j(13).
576
Let s = 15529 - 4162. Let g be s - 3/2*-2. Let t = g + -113579/10. Find the common denominator of t and 47/10.
10
Let t = -564 - -576. Calcula