t c = 27293912217 + -672740348200301/24648. Let y be (2058/(-2054))/(-1) - 1. Let w = y - c. Calculate the common denominator of w and -67/18.
72
Let g = -2/2285 + 66391/143955. What is the common denominator of 47/189 and g?
189
Find the common denominator of 28/(-56)*(-14)/12 and -79/14.
84
Let s = 314 - 302. Calculate the least common multiple of 36 and s.
36
Let n(a) = 3*a + 7. Let o be n(-3). What is the common denominator of 15/2*o/10 and 9/7?
14
Suppose -712 = -3*g - 2530. Find the common denominator of g/40*2/3 and (-156)/10 - (-28)/(280/30).
10
Suppose -7*h + 6 - 48 = 0. Let b(n) = 2*n**2 + 7*n - 8. Suppose -2*k - 36 = -5*k. What is the smallest common multiple of k and b(h)?
132
Suppose 64*j - 19*j = 2160. Calculate the lowest common multiple of 30 and j.
240
Suppose -3*s + g - 3 = 0, 4*s - 5*g + 2 = -13. Find the common denominator of -107/22 and 1 + s + 238/(-12).
66
Let v(q) = -q**2 + 4*q + 6. Let m be v(8). Let p = m - -27. Calculate the least common multiple of p and 8.
8
Suppose -5*j - 4*y = -19, 4*y - y = j. Suppose -6 = l - 5*b, 0*l + 6 = -l - j*b. What is the common denominator of 95/18 and l/(-8)*(-62)/(-21)?
126
Let p be (11/(-2))/((-1)/(-6)). Let j(f) = -f + 3. Let v be j(-3). Calculate the common denominator of (-4)/v + 29/p and -46/7.
77
Let l(h) be the second derivative of 215*h**3/6 + h**2 + 8*h. Let d be l(-1). Calculate the least common multiple of 9 and (-6)/42 + d/(-21).
90
Let t = -62 + 36. Let n = 4433/237 + -3/79. Find the common denominator of n and 6/3 - t/20.
30
Let u be (-44)/(-5)*(-530)/(-68). Let r = -5033850 - -684611517/136. Let i = r - u. Calculate the common denominator of i and 45/8.
8
Let g be (-21)/(-63) + 2/3. Find the common denominator of 24/17 and g/((-1)/3) + (-73)/(-4).
68
Let q(n) = n**2 - 2*n - 4. Suppose -4*o = -y + 54, -3*o - 10 = -o. Calculate the lowest common multiple of q(-4) and y.
340
Let m = -4867 + 28961/6. Let l = m + 395/12. Find the common denominator of l and -7/20.
20
Suppose 0*s = -5*s + 35. Let z(n) = -19*n - 10. What is the least common multiple of z(-1) and s?
63
Let m be (24626/(-504))/(5810642/395025). Let u = m - 10741/6901. Let q = 4/1263 + u. What is the common denominator of 79/4 and q?
8
Calculate the lowest common multiple of 63 and (0 - 2/(-1)) + (24 - 23).
63
Let x(b) = -b**2 - b. Let t(f) = f**2 + 3. Let l(d) = -t(d) - 2*x(d). Let k be l(-4). What is the smallest common multiple of (6/k)/(-3)*-5 and 6?
6
Suppose -8 = 2*l, -w + l + 1 = 4. Find the common denominator of (22/24)/((-3)/42) and (3/w)/(10/7).
30
Let u be ((-12)/15)/((-2)/(-370)). Let v = u + 257/2. Find the common denominator of v and 9/(-10)*(13 - -1).
10
Find the common denominator of 23/54 and -5*1 - (-4935)/1080.
216
Suppose 0 = 5*q + 2 - 52. What is the smallest common multiple of 5*12/30*(0 + 1) and q?
10
Let o = 53192219 + -9946972484/187. Let a = -2254/17 - o. Let t = 361/22 - a. Find the common denominator of t and 9/16.
176
Suppose -36 = -0*u - 4*u. What is the smallest common multiple of u and 39/7 - (-8)/(-140)*10?
45
Let a(l) = -l**3 - 37*l**2 + 122*l + 91. What is the smallest common multiple of 949 and a(-40)?
10439
Let t be ((-12)/(-2))/((2/(-1060))/(-1)). Let h = -12821/4 + t. Calculate the common denominator of h and 167/9 + (-2)/9.
12
Let n be (42/35)/((-2)/(-30)). What is the common denominator of 2 - (93/n + 1) and 1/(-4)*-6 - (-248)/24?
6
Let l(j) = 248*j - 214. What is the smallest common multiple of l(3) and 106?
530
Let g(j) = j**2 - j - 4. Let z = -6 - -13. Let f(l) = l**2 - 7*l + 8. Calculate the lowest common multiple of g(-2) and f(z).
8
What is the common denominator of 5/18 and ((-158)/(-48))/((-1)/2)?
36
Let p(w) = -w**3 + 10*w**2 - 7*w - 4. Let o(x) = -x**2 - 6*x + 10. Let k be o(-7). Suppose 3 = g - k. Calculate the smallest common multiple of p(9) and g.
42
Let v = 17 + 12. Let y(l) = -6*l + 118. Let k be y(17). Calculate the common denominator of v and ((-4)/(k/4))/((-4)/50).
2
Let t = -2802 - -2810. What is the lowest common multiple of t and 172?
344
Calculate the common denominator of 109/1002 and (-4 - 25/(-8))*-22.
2004
Suppose -t + 8 - 443 = -3*f, 4*f = -2*t + 570. What is the lowest common multiple of f and 108?
432
Let b(a) = 18*a - 8. Let i be b(-17). Let z = 491 + i. Suppose 2*o - 3*d - 95 = 0, 3*o + 42 - z = -3*d. What is the smallest common multiple of 12 and o?
276
Let r(x) = -x**3 + x**2 + x - 3. Let h be r(2). Let t = h - -17. What is the smallest common multiple of t and 24?
24
Let h(j) = -j + 12. Let k be (9/(-6))/((-76)/72 + 1). Suppose 0 = 13*b - 16*b + k. What is the smallest common multiple of h(6) and b?
18
Let g = 248/5 - 50. What is the common denominator of g and -9/14?
70
Let j = -328 + 484. Find the common denominator of 13/2 and 13/(1183/(-14)) + 2026/j.
6
Let u be 33/(-27) + (-10)/(-45) + -1. Find the common denominator of (1*u + 6)*210/1660 and -62/3.
249
Let o = -6326 - -695873/110. Find the common denominator of -115/154 and o.
770
Calculate the common denominator of 5/3*25/(-15)*-3 and -9/160.
480
Let y = -330 - -352. Calculate the smallest common multiple of y and 892.
9812
Let o(x) = -x**3 + 5*x**2 + x - 4. Suppose 3*z = -3*w + 237, -3*z + 383 = 2*z + w. What is the lowest common multiple of z and o(4)?
304
Let u = -1086 - -2249/2. Suppose n - f - 11 = 0, n = -f + 3 + 6. Calculate the common denominator of u and (1 + 0)*155/n.
2
Let l = -2/23951 + 1173667/814334. What is the common denominator of -46/5 and l?
170
What is the common denominator of 35/2 and 91/7*(-2)/228*-3?
38
Let v(z) = -z**3 + 2*z**2 + 4*z + 2. Let f = 8 + -5. Let m = 11 + -4. Calculate the lowest common multiple of v(f) and m.
35
Calculate the common denominator of ((-72842)/(-84))/(-43)*(-1)/(-7) and -29/18.
126
Let o(q) = 2*q**2 - q - 3. Let d be o(2). What is the common denominator of 32/25 and (21 + d)*(21/66)/(-7)?
275
Suppose 27*h - 1932 = 4*h. Calculate the smallest common multiple of 7 and h.
84
Let o = 89 - 171/2. Calculate the common denominator of -49/11 and o.
22
Let l(s) = -s**3 + 10*s**2 + 11*s - 70. What is the lowest common multiple of 30 and l(9)?
330
Suppose d - 3*d = 0. Suppose -3*t - 4813 - 4472 = d. Let p = t + 27892/9. What is the common denominator of p and 22/5?
45
Suppose 3 = q - 2*v + 5, -5*q = 3*v - 3. Suppose -2*p + 1 + 5 = q. Suppose 7*z = 26 + 2. What is the smallest common multiple of z and p?
12
Let q(v) = v**3 + 9*v**2 + 7*v + 1. Let m = -38 + 30. What is the lowest common multiple of 11 and q(m)?
99
Suppose 0*t = 6*t. Find the common denominator of t + 4/(-32)*27 and -9/35.
280
Let m(x) = -38*x - 1365. Let v(b) = -b**3 + 6*b**2 - 2*b + 6. What is the smallest common multiple of m(-36) and v(4)?
30
Let q be -2 - 12/9*-6. Let f be ((-122)/(-4))/((-1)/q). Find the common denominator of 62*(f/(-60) - 3) and 47/22.
110
Let n = -20 + 7. Let b = -8 - n. Suppose -v = b*x - 5*v - 30, -5*x = 3*v - 30. What is the lowest common multiple of 8 and x?
24
Let q = -42683 + 2432999/57. Calculate the common denominator of 131/6 and q.
114
Let d = 9923/24310 + 1/1105. What is the common denominator of d and -11/78?
858
Let p = 7 - 3. What is the lowest common multiple of p and 4*(-4 + 3) - 6*-2?
8
Suppose -n + 3 = -2, -5*z + 4*n = -85. Suppose 11*u = 3*u + 8. Calculate the least common multiple of u and z.
21
Let f = -205427/24 - -8562. What is the common denominator of f and 19/21?
168
Let j = -21 + 29. Let p(d) = 1 + 10*d**2 - 3 + 0*d - 7*d**2 - 2*d. Calculate the least common multiple of p(-1) and j.
24
Suppose -13*m + 52 = -9*m. Suppose r - 20 = -r - y, -r = 2*y - m. Calculate the least common multiple of r and 6.
18
Let z = 7/132 - -4291/396. Let t = z - -409/36. Find the common denominator of t and -67/3.
12
Calculate the least common multiple of ((-4)/(14/(-8) + 2))/(-1) and 6.
48
Suppose -6*r + 3*r + 3 = 0. Let u = r - 0. Suppose 5*k + 13 = -3*y, 5*k + u = -24. What is the least common multiple of 7 and y?
28
Let u = 558 + -542. What is the lowest common multiple of 112 and u?
112
Suppose w - 3*j - 8757 = 0, -15 = 2*j + 3*j. Let z = w + -104899/12. Let v = -17069/3420 + 7/171. Calculate the common denominator of v and z.
60
Suppose -2 = -2*k - 0. Calculate the common denominator of -45/52 and k/(((-1)/(-302))/((-8)/288)).
468
Suppose 