78/4941. Let x = -11573 + a. What is the common denominator of -35/16 and x?
144
Let p = -1346650 + 12290874532/9127. Let o = p + 11127649/930954. Let k = o - 444/17. What is the common denominator of k and -85/14?
42
Let x = -39207/5846 + 580/79. What is the common denominator of x and ((-418)/(-220))/(-1 - 1)?
740
Let v(p) = -180*p - 177. What is the lowest common multiple of v(-5) and 2?
1446
Suppose k - 12*w = -9*w + 9, 5*w = 2*k - 17. What is the lowest common multiple of 8 and k?
24
Let h(b) = 11*b + 60. Let v(q) = 4*q + 20. Let w(g) = 6*h(g) - 17*v(g). Calculate the smallest common multiple of w(9) and 2/7 - 75/(-7).
22
Let v be -1 - (3/(-3) + 15). Let i = v - -39. Calculate the least common multiple of 18 and i.
72
Let f(s) = -s**3 + 9*s**2 + s + 3. Let w be f(9). Suppose w + 6 = 2*l. Calculate the least common multiple of 6 and l.
18
Let i(d) = -d**3 - d**2 + 3*d - 3. Let s be i(-3). Find the common denominator of (-1 - -5) + (-161)/(-21) and s/21 - (-60)/21.
21
Let u be (-455)/(4 + -11)*(1 - -1). Let v = u - 94. What is the lowest common multiple of 18 and v?
36
Let n = -6/641 - -39149/5128. What is the common denominator of n and 27/4?
8
Let r(c) = 2*c. Let k be (10/(-12))/(1/(-6)). Suppose 3*b - 57 + 24 = 0. Calculate the lowest common multiple of b and r(k).
110
Suppose 10*s + 5*h = 5*s - 70, 31 = -4*s + h. Let v = -55 - -15. Calculate the common denominator of -39/16 and ((-666)/v)/(s/(-6)).
80
Let s = -301699/353040 + 3/7355. Find the common denominator of s and 103/96.
96
Let b = 43327691/15 + -2886629. Let r = -1883 + b. Find the common denominator of 36/7 and r.
105
Let n be 1 + 4/((-4092)/1095). Let p = n - -30493/2046. Find the common denominator of p and (-3 - 2/((-176)/268))*-53.
66
Let m(b) = -b**3 - 4*b**2 + 5*b + 2. What is the lowest common multiple of (1 + 3)/(-6*7/(-84)) and m(-5)?
8
Let p = 4/3561 + 142388/46293. Let h = 4 - 10. Let j(a) = -2*a**2 - 4*a + 5. Find the common denominator of p and j(h).
13
Let d = 8 + -6. Suppose 0*q = d*q - 16. Calculate the common denominator of -15/16 and (-140)/(-6)*(-6)/q.
16
What is the common denominator of (-8)/64 - 791/(-5880) and 113/98?
1470
What is the common denominator of 1/((-16)/132)*-1 and -56*(19/(-10) - -2)*1?
20
Let f be (16/20)/(2/10). Suppose -j - 83 = -f*s, 4*j - 109 = -9*s + 4*s. Let u = s - 14. What is the least common multiple of u and 1?
7
Suppose -8 = 4*m, v - m = -4*v + 482. Suppose 3*t + 54 - v = 0. What is the smallest common multiple of 178 and t?
1246
Let m = -11/258 - -1016/129. Let g(b) = -b**2 - 6*b + 6. Find the common denominator of g(-5) and m.
6
Let b = 52 + -48. Suppose -5*w = -w - 12, -j - b*w = -16. Calculate the least common multiple of j and 57.
228
Let j be (-238)/(-56) + (-2)/8. Let q(c) = 8*c + 5. Let u(w) = w + 1. Let o(t) = q(t) - 6*u(t). What is the smallest common multiple of o(j) and 10?
70
Suppose 3*p + 5*z + 34 = 5*p, -4*p + z = -86. What is the lowest common multiple of 818 and p?
8998
Let l = 3/1468 - 15059/5872. Let t(q) = 89*q**2 - 9*q + 5. Let o be t(4). Let c = -8459/6 + o. Calculate the common denominator of l and c.
48
Calculate the common denominator of 17/96 and (-32)/(-48) + (-655)/300.
480
Suppose -2*s - 256 = -4*j + 2*s, 3*j + s - 172 = 0. Let u = -14 + j. What is the common denominator of -29/2 and u?
2
Let k(t) be the third derivative of t**5/15 - t**4/8 - t**2. Let q be (-65)/(-52)*-2 + (-9)/(-2). What is the smallest common multiple of 16 and k(q)?
80
Suppose 0 = 4*i - 4, 0 = -2*m - 5*i - 0 - 17. Calculate the common denominator of m and -97/20.
20
Let x(q) = -q**2 - 22*q + 36. Let u be x(-18). Suppose -3*w + u = 36. Calculate the smallest common multiple of w and 21.
168
Let i = 787337/244958 - -2/17497. Calculate the common denominator of -1 + -1 + 113/20 and i.
140
Let t = 1341/22 + -61. Find the common denominator of t and (-52)/234 + (-2)/((-396)/287).
22
Let r = 9/590 - -17369/2360. Let z be 1/189*17264/88. Let h = z + 10/189. Calculate the common denominator of h and r.
88
Suppose -c = -4*n + 7, 5*n + c - 5 = 15. Suppose q = -5*u - 13, 2*q + 18 = -n*u - 2*q. What is the common denominator of (-2)/(-12)*107/u and -11/20?
60
Let i = -45 - -71. Let r(a) = -3*a**3 + 18*a**2 - 19*a - 4. Calculate the smallest common multiple of r(4) and i.
208
Let c = 361/2 - 156. Let p = 454/4223 + -52601097/33784. Let d = p + 1564. Calculate the common denominator of d and c.
8
Suppose 7*k - 5*k = 120. What is the smallest common multiple of k and 21?
420
Let f(b) = b**3 - 7*b**2 - 7*b - 5. Let t be f(8). Suppose t*q = 160 + 80. Calculate the lowest common multiple of 8 and q.
80
Let p(f) be the first derivative of -f**3/3 - 9*f**2/2 - 18*f + 17. Calculate the least common multiple of p(-5) and 18.
18
Let c(l) = 9*l**2 + 43*l - 2. Let f be c(-5). Calculate the common denominator of 101/36 and 54/f*((-1)/6 + 1).
72
Let s(f) = 2*f**2 + 2*f - 3. Let v = -37 + 37. Suppose m + 5*u - 5 - 5 = 0, -4*m + 4*u + 40 = v. Calculate the smallest common multiple of s(-3) and m.
90
Let x = -2928 + 3072. What is the smallest common multiple of x and 48?
144
Let a be (2 - 0)*8/(-4). Let y be ((-14)/a)/(13/(-26)). What is the lowest common multiple of 9 and 43/7 - y/(-49)?
18
Calculate the lowest common multiple of (-5)/(-2) + 135/90 and 68.
68
Let s be 2/(-13) + 2586/78. Let n = s - 21. What is the smallest common multiple of 2 and n?
12
Let w(c) = 23*c**3 + 2*c**2 + 6*c - 8. What is the lowest common multiple of w(1) and ((-22)/4)/(3/(-6))?
253
Let k be ((-2)/6)/((-3)/(-9)). Calculate the lowest common multiple of 22 and (-4)/8*(-43 + k).
22
Suppose 0 = -3*g + 34 - 28. Suppose -5*j + 4*m - 5 = g, 0 = -j + m - 2. What is the smallest common multiple of 1 and j?
1
Let i = -9340 + 149533/16. Let l = 9698783/8754 - 135/1459. Let j = 3281/3 - l. Calculate the common denominator of i and j.
48
Let y(o) be the first derivative of -2*o**3/3 - 13*o**2/2 - 11*o + 7. What is the smallest common multiple of 15 and y(-5)?
60
Let u(n) = n + 15. Let a(z) = -z - 8. Let q be a(-8). Suppose g - 6 = c + c, q = 4*g + c - 69. What is the least common multiple of u(5) and g?
80
Let z = -1108/3 + 6629/18. Calculate the common denominator of -14/3 and z.
18
Suppose r - 2*l + 4566 = 0, 12191 - 3077 = -2*r - 2*l. Let t be ((-8)/r)/((-1)/8). Let k = t + -21359/1140. Find the common denominator of 7/20 and k.
20
What is the common denominator of 49/8 and 4/(6384/(-18))*(-3297)/54?
456
Let t = -10/213 + 83/2272. Find the common denominator of -101/84 and t.
672
Let o = 89 - 47. Suppose -37 + o = h. Let y(z) = z**3 - 2*z**2 + 3*z - 3. What is the least common multiple of y(2) and h?
15
Suppose 3*q - 3 = 33. Let y = 18753/8 - 2333. Calculate the common denominator of y and 1 + 94/q + -2.
24
Let c(i) = i**3 - 5*i**2 + 5*i + 2. Let b be c(4). What is the common denominator of ((18/(-4))/3)/(621/2967) and 1 - (109/b + 2)?
6
Let d(j) = 7*j**2 + j - 1. Let r be -2 - (-2 + -1 - 0). What is the least common multiple of (-5)/(20/(-6)*(-2)/(-4)) and d(r)?
21
Let s be -1*(3 + -4 + -11). Let m = s - 6. What is the common denominator of m and -9/8?
8
Let w = -397 + 1645/4. Let g = -27550 - -661301/24. Calculate the common denominator of w and g.
24
Let w(u) = u**3 + u**2 + 4*u - 2. Let m be w(-4). Calculate the common denominator of -121/18 and 0 + 3 + -7*m/(-120).
180
Calculate the common denominator of (-3)/((6 + -2)/(4/22)) and -137/6.
66
Calculate the common denominator of (156/60)/(492/75) and -33/8.
328
Let u be (-9109)/(-18) - 1/6. Let a = -507 + u. Calculate the common denominator of (38/40)/((-18)/(-45)) and a.
72
Let k(n) = -n**3 - 2*n - 1. Let p be k(-3). Let o = 7 - 3. Suppose -2*v + o*v - p = 3*h, -v + 5*h = -2. Calculate the smallest common multiple of v and 14.
154
Let h(q) = -q - 3. Let x(n) = -n**3 + 6*n**2 + 6*n + 5. Let p be x(7). What is the smallest common multiple of h(-7) and (205/(-5) - -1)/p?
20
Let n be -4024 + 1/(-1) - -1. Let m = n + 44310/11. What is the common denominator of m and 582/(-4)*(-2)/(-24)?
88
Calculate the common denominator of 17/104 and (1 - 8) + (-2160)/(-234).
104
Suppose 3*d = -2*d + 1925. Let v = d + -7683/20. Calculate the common denominator of 113/12 and v.
60
Let d(w) = 2*w**3 + 21 + 25 - 5*w**2 - 9*w - 37 - w**2. Calculate the lo