/139 + 211772450808259/8626896. Let v = d + 2/3879. Find the common denominator of v and -35/12.
48
Suppose 4*t = -4*c - 120, 4*c + 5*t - 55 = -180. Let o = -8417/6 + 1409. What is the common denominator of ((-84)/c)/(-6) - -3 and o?
150
Let n be (5/(-30))/(4497/(-9)). Let d = -32933/134910 - n. What is the common denominator of -10/33 and d?
495
Let p(a) = a**3 - 6*a**2 + 6*a - 5. Let s be p(5). Suppose 4*b - 5*b + 10 = s. Calculate the lowest common multiple of b and 8.
40
Let g(w) = -w**3 - 6*w**2 + 7*w + 3. Let o be g(-7). Suppose -t + 24 = o*t. Find the common denominator of 290/6*t/(-45) and -47/7.
63
Let i = -10247/39 + 263. Calculate the common denominator of 34/45 and i.
585
Let l = -2059607/84 + 24518. What is the common denominator of l and -85/42?
84
Let l = -26 + 56. Calculate the common denominator of (-6)/(-15) - (-618)/l and 19/11.
11
Let q = 38 + -34. Suppose -p - 44 = -q*p - 2*a, -p = 5*a - 6. Calculate the least common multiple of 22 and p.
176
Let q(b) = b**2 + b - 11. Let k be q(0). Let v = 5 - k. Calculate the least common multiple of 12 and v.
48
Let p = 1533/2 - 751. Suppose 420 = o - 2*o. What is the common denominator of (-2619)/o - 10/35 and p?
20
Let h = 81 + -74. Suppose -h*k = -3*k - 4. Calculate the least common multiple of k and 2.
2
Let w = 633 + -15191/24. Find the common denominator of w and -95/32.
96
Let m = -10 - -6. Let b(s) = -s**2 - 3*s - 8. Let h(t) = t**2 + 2*t + 9. Let j(n) = m*h(n) - 5*b(n). What is the smallest common multiple of 8 and j(-8)?
24
Calculate the smallest common multiple of 22 and (-4)/(((-1)/6)/((-15)/(-45))).
88
Let b be 3018/3 - (-2)/3. Let y = -985 + b. Calculate the common denominator of ((-15 - -5)/(11/(-22)))/(4/(-8)) and y.
3
Let b = 5/55049 - -1920225/71453602. What is the common denominator of b and -69/22?
1298
Let o(m) = m**3 + 2*m**2 + 4*m + 4. Let d be o(-3). Let y = d - -29. What is the smallest common multiple of 4 and y?
12
Suppose 3*m = -2*m - 25. What is the lowest common multiple of 2 and (-7)/m*(-10 + 20)?
14
Let m(z) = -2*z**2 - 13*z - 10. Let b = -8 - -3. Let j be m(b). Suppose j*t + 36 = 116. What is the smallest common multiple of 16 and t?
16
Let k = 64 - 59. Suppose 5*u + 5*q - 75 = 0, -3*u - 36 = -k*u - 4*q. What is the lowest common multiple of u and 4?
12
Suppose h + f + 6 = 3*f, 3*h - 9 = -3*f. Suppose h*n - n + 41 = 2*l, -2*n + 2*l = -64. What is the common denominator of 81/20 and (-898)/180 + (-14)/n?
180
Suppose 2*w + 72 = -2*w. Let l = w - -34. Suppose -4*g - 4 = -4*d - 12, -l = -2*g - d. Calculate the lowest common multiple of 16 and g.
48
Let y be ((2/(-1))/(-2))/1*2. Suppose y*i + i + 24 = 2*b, 2*b + 3*i = 36. Calculate the lowest common multiple of b and 15.
15
Let p = -8333/44 - -687/4. Let v = -766111/66 + 34864/3. Let x = p + v. Find the common denominator of -85/12 and x.
132
Let o(f) = -f**2 - 11*f + 225. What is the smallest common multiple of o(10) and 3?
15
Suppose 0 = -3*j - j + 112. Let o be 1*(5 - 55/5). What is the smallest common multiple of j and 1*-1*(4 + o)?
28
What is the common denominator of (-9)/72 + (-140)/(-48) and 67/411?
3288
Let y = 58409/24 - 2436. Find the common denominator of 2/(-36)*-226 + (-115 - -109) and y.
72
Suppose -19*x = -188 - 154. Calculate the smallest common multiple of x and 128.
1152
Let i = 286057/18 + -15896. Let q = 71247/56 - 1273. What is the common denominator of i and q?
504
Suppose -104 = z - 14*z. What is the lowest common multiple of z and 16?
16
Let z = -10895 + 130861/12. Calculate the common denominator of -105/92 and z.
276
Suppose 5*q - 10*q = -1770. Calculate the smallest common multiple of q and 22.
3894
Let d(f) = 8*f + 32. What is the smallest common multiple of d(-3) and 10?
40
Calculate the lowest common multiple of (-56)/(-42)*2/((-12)/(-279)) and 7.
434
Calculate the smallest common multiple of 33 and 6*-4*(-45)/108.
330
Let b(t) = -10*t + 344. Calculate the smallest common multiple of b(20) and 224.
2016
Let a(b) = b + 15. Suppose -2*c - 2 = 2*q + 8, 2*c = 4*q + 32. What is the lowest common multiple of 48 and a(q)?
48
Let y = -206 + 214. Calculate the smallest common multiple of 42 and y.
168
Suppose -120 = 1377*j - 1378*j. Calculate the lowest common multiple of 15 and j.
120
Let c(y) = -11*y. Let z(w) = -33*w. Let k(p) = -11*c(p) + 4*z(p). Let x(u) = u + 5. What is the lowest common multiple of x(0) and k(-1)?
55
Let q be 0 + -6*75/(-6). Suppose -q = -7*m + 4*m. Calculate the lowest common multiple of 14 and ((-4)/5)/((-10)/m).
14
Suppose 0 = 2*l + 6*l - 10448. Let a = l + -10413/8. Calculate the common denominator of -59/70 and a.
280
Let p = -578 + 962. Calculate the smallest common multiple of p and 32.
384
Let s = -523406/31 + 2219252011/131440. Let i = s + 3/424. Find the common denominator of -67/18 and i.
720
Suppose w - d = 29, 0 = 2*w + 2*w - 5*d - 121. Let s = w - 16. Suppose -s*r + 3*r = -10. What is the least common multiple of 22 and r?
22
Suppose -2*p + 10 = 4*f, 5*f - 7 = 3*p + 11. What is the least common multiple of f and (-2 - 1) + (-5 - -18)?
30
Let b(c) = 7*c + 2. Let s = 0 + 0. Suppose 4*p - 8*p + 3*i - 24 = s, 8 = 4*p + 5*i. Find the common denominator of b(p) and 49.
1
Let b = 4 + -2. Let j(w) = w**2 + 2*w - 4. Calculate the smallest common multiple of b and j(-6).
20
Suppose 0 = -10*h + 11*h - 2. Suppose -6 = -h*k + 18. Let d = -26 + 38. Calculate the lowest common multiple of k and d.
12
Suppose -5*k + 2*o - 18 = -0*k, -5*k - 14 = -o. Let a be (-7894)/(-9)*k/(-4). Let t = 438 - a. Find the common denominator of -16/3 and t.
9
Let u = 34689 + -1387651/40. What is the common denominator of -5/88 and u?
440
Let x = 16 - 11. Let c be (9 - 12)*x/(-3). Suppose 4*p + o = 36, 2*p - c*o = -0*o + 40. What is the lowest common multiple of p and 3?
30
Let a = 9820 + -294607/30. What is the common denominator of a and ((-10)/144)/((-1)/(-20))?
90
Let x be 1 + 1 - (-29909)/77. Let k = x + -31739/84. What is the common denominator of k and 95/12?
12
Let o = -19863 + 357677/18. What is the common denominator of o and (-4 - 332/(-88))*(-27)/5?
198
What is the common denominator of 157/132 and 288/2176 + (-3)/(-6)?
2244
Suppose -4*k = 16, 2*b + b - 4*k - 28 = 0. Suppose -5*m = -4*a + 62 + 26, -a + m + 22 = 0. Calculate the lowest common multiple of a and (-5)/((-10)/b) + 2.
44
Let r = -30 + 22. Calculate the common denominator of 102/(-16) + -2 + 3 and 2*(-1)/4 - 27/r.
8
Let o be ((-6)/(-4) + -2)*-6. Let x be 1/((14/(-42))/(10/(-6))). What is the lowest common multiple of ((-2)/x)/(o/(-150)) and 8?
40
Suppose -3*d + 26 = -d. Let n be -3*(5/(-3) - -3). Let j = d + n. What is the lowest common multiple of j and 5?
45
Let b(j) = -j**3 + 14*j**2 + 2*j - 29. Let i be b(14). Calculate the smallest common multiple of 3 - i - 5/((-15)/18) and 9.
90
What is the least common multiple of (-8*(-4)/(-16))/((-1)/8) and 48?
48
What is the common denominator of 3/2 and ((-6)/7)/((-3134)/154 - -19)?
52
Let u = -31007/5010 - -360/167. Find the common denominator of (-1)/(-1) + 76/(-9) and u.
90
Let h = 34 - -14. Suppose 4*c - 4*n = 5*c - 2, -5*c + h = n. What is the lowest common multiple of c and 12?
60
Suppose -4*n + 3*n = -7. Suppose h - n*h = -312. Calculate the smallest common multiple of 8 and h.
104
Let v = -9058 + 108779/12. What is the common denominator of -99/112 and v?
336
Let w be ((-160)/(-12))/(1/(-3)). What is the common denominator of ((-6)/(-4))/(3/w) and 4/(-2) + 9*(-119)/(-105)?
5
Suppose 4*b = -5*c - b + 45, 2*c - 5*b - 11 = 0. Let f(z) = -c + z - z - 6*z**2 - 4*z - z**3. Calculate the lowest common multiple of f(-6) and 8.
16
What is the smallest common multiple of ((-76)/114 - (-7)/6)*18 and 2?
18
Let j = 7287 + -247683/34. Let m = 364 + -4505/12. What is the common denominator of m and j?
204
Let h(l) = 2*l**2 - 40*l - 14. What is the lowest common multiple of h(-14) and 10?
4690
Let n(z) = 5*z**2 - 2*z + 41. What is the least common multiple of n(5) and 14?
1092
Suppose -2*r = 2*r - 192. Suppose 4*p + 2*p - r = 0. Calculate the least common multiple of p and 34.
136
Suppose -14*j + 16*j + 154 = 0. Let l be (-371)/j + (-2)/(-11). Suppose l*w - 23 = 7. What is the least common multiple of w and 4?
12
Let f(m) = -m**2 - 6*m - 8. Let y be f(-4). Suppose 5*h = s 