10*t**2 + 10*t + 7. Let a be y(-9). Let x be -3 - a*259660/173112. Let c = -1752715/476058 + x. Find the common denominator of c and -127/6.
66
Let i = -6733/184460 - 49/401. What is the common denominator of i and -101/230?
460
Find the common denominator of -1/45 and (-177)/236 - -2*5686/13968.
4365
Let o be (-285)/(-12) - 1/(-4). Suppose 25*t - 17*t = o. Calculate the lowest common multiple of 55 and t.
165
Calculate the common denominator of -41/48 and (-490)/1968*2 + -6*(-18)/162.
1968
Suppose 3*n - 12 + 42 = 0. Let u = 26 - n. What is the smallest common multiple of u and 24?
72
Calculate the smallest common multiple of ((-3)/2 - (-9950)/100)/((-2)/(-24)) and 112.
2352
Let s = 151537/12 + -12624. Calculate the common denominator of s and -13/48.
48
Let v(u) = -121 + 6*u**2 + 219 + 20*u - 4*u**2. Calculate the least common multiple of v(-8) and 42.
462
Let j(f) = 3*f - 9. Let k be j(4). Suppose k*u + l + 5484 = 5*l, 5*l = 2*u + 3656. Let m = 7275/4 + u. What is the common denominator of m and -101/2?
4
Let a(w) = w**2 + w - 1. Let j(q) = -q**2 - 2*q - 3. Let b(s) = 3*a(s) - j(s). Let z be b(3). What is the common denominator of 125/6 and (-2 - z/(-16))*6?
24
Calculate the common denominator of (5/(-12))/(6816/(-13464) - (-12)/22) and 17/2222.
8888
Let v(a) = -7*a**2 - 2*a + 280. Let g be v(0). Suppose -2*i + 7*i = 45. Calculate the lowest common multiple of i and (g/(-175))/(0 - (-6)/(-15)).
36
Suppose -39*u + 19*u + 543 + 23697 = 0. What is the least common multiple of 3 and u?
1212
Let l = -6328/11 - -631733/1100. Find the common denominator of l and -151/300.
300
Let n = -461 + 597. Suppose -104*r + 100*r = -n. Calculate the lowest common multiple of r and 2.
34
Calculate the common denominator of 6/14 - (-72850)/(-157080) and 91/132.
2244
Let t = -8 - -154. What is the lowest common multiple of t and 42/9*4872/1421?
1168
Let b(g) = 44*g**2 + 100*g + 69. What is the least common multiple of 143 and b(7)?
32175
Calculate the common denominator of ((-1)/8*254)/(144/((-80)/(-5))) and -67/1686.
10116
What is the common denominator of -109/3726 and (-6)/(-4) + 3717/180 + 42/70?
7452
Suppose -96 = -12*w - 0. Suppose -z = -i + 2, i + 2 = -3*z - 0*i. Let t = w - z. Calculate the lowest common multiple of t and 5.
45
Let c(b) be the first derivative of b**2/2 + 2*b + 25. Let r be c(1). Suppose 5*i - 40 = r*i. Calculate the smallest common multiple of i and 16.
80
Let c = 425522 + -277014737/651. What is the common denominator of 28/155 and c?
3255
Let t = 18 - 20. Let x be t/(-5)*(-6 + 81). Suppose 30 = 2*y - x. Calculate the least common multiple of 3 and y.
30
Let b = -61422/92107 + 32405559419/75159312. Let l = b - -7/816. Let f = l - 450. Find the common denominator of 46/5 and f.
10
Suppose 3*d - 2*h = -1, 3*d - h = -2*h + 5. Suppose -l + 96 = -6*g, -423*l - 246 = -425*l + 3*g. Calculate the least common multiple of d and l.
132
Let a = -577717/390 + 8891/6. Find the common denominator of a and 46/425.
5525
Let b = 422 - 413. Let f(y) = 3*y + 57. What is the smallest common multiple of b and f(-9)?
90
Let s = -1034251/1068291 - 2/16957. What is the common denominator of 67/1722 and s?
5166
Let p be 2032/(-96) - 10/12. Let w = 1298/123 + -41357/4428. What is the common denominator of w and p/(((-192)/104)/(-1))?
108
Suppose 9626 = 5*h - 1594. Let f = 44927/20 - h. Calculate the common denominator of -17/72 and f.
360
Suppose 0 = 2*v - 136 - 8. Let p = 71 - v. What is the common denominator of -55/18 and 1 - ((-122)/(-48) - p)?
72
Let b(l) = 971*l - 13541. Calculate the least common multiple of b(25) and 6.
10734
Let q = -125291/20 - -6266. Let g be 21866775/1145844 + (-1)/8*2. Let w = g + -1/4547. Calculate the common denominator of w and q.
60
Let n = 674 + -669. Suppose -r - 11 = -5*i, 5*r - n*i = -6*i + 49. Calculate the smallest common multiple of (3/2)/((-3)/(-8)) and r.
36
Calculate the smallest common multiple of 42 and (-25)/(275/44)*(-48 + -1).
588
Let j(p) = p**2 + 10*p - 503. Calculate the lowest common multiple of j(18) and 4087.
4087
Let p = 90391/68805 - 4/1529. What is the common denominator of -63/340 and p?
3060
Let b = -1061 - -1082. What is the least common multiple of b and 360?
2520
Let l(f) = -f**3 - 10*f**2 + 96*f + 7. What is the lowest common multiple of 5044 and l(-16)?
35308
Let d = 154 - 417. Let x = d + 284. Calculate the least common multiple of x and 12.
84
Let u(p) = -294*p + 126. Let y be u(-11). Find the common denominator of 3486/y*4/2 and 3/32.
160
Let i be 34/(-12) - 1/6. Let u be 6*i/6 + 11. What is the common denominator of u/(-60) - 2 - -2 and 35/33?
165
Suppose -148*a + 1965 = 4*m - 153*a, -5*a - 1470 = -3*m. What is the smallest common multiple of m and 33?
495
Suppose -10*w - w = -550. Calculate the least common multiple of ((-12)/(-20))/(5/w) and 83.
498
Suppose 67 = -66*s + 463. Let l(k) = -8 + 53 - 7*k + 0*k. Calculate the lowest common multiple of 21 and l(s).
21
Suppose -1300 = 25*q - 0*q. Let o = -41 - q. Calculate the lowest common multiple of o and 7.
77
Let s be (2 + -12)*(-168)/(-16). What is the common denominator of s/(-6) - 4 - 4 and 570/(-510) - 1/(-2)?
34
What is the lowest common multiple of 5423 and (7888/24)/((-108)/(-1134))?
37961
Find the common denominator of 269235/(-15314) + 17 + 2/3 and 17/60.
14820
Suppose 959*a + 15 = 964*a, 468 = 3*v - 5*a. What is the smallest common multiple of 2 and v?
322
Let w = -14195 - -156148/11. Calculate the common denominator of w and -34/24913.
274043
Let o = -9 - 22. Let r be (-34 - o)/(0 + (-2)/22). What is the common denominator of r*((-16)/4)/(-192)*3 and 93/88?
176
Let r(s) = -s**3 - 6*s - 8. Let u be r(4). Find the common denominator of 29/1308 and (-680)/u + -2 + 2.
1308
Let q(l) = 891*l**2 - 4*l + 4. Let a be q(1). Suppose 6*f = f + 270. Calculate the least common multiple of f and ((-1)/((-6)/(-4)))/((-22)/a).
54
Let d(z) = -z**3 - 2*z - 124. Let n be d(0). Let l = -325977/22 + 14814. What is the common denominator of l and (2 - 5)/(3 + 380/n)?
22
Let l = 21131665/183 - 115474. Calculate the common denominator of l and 107/78.
4758
What is the common denominator of 31/514 and (155/10)/(3/18)*(-6)/132?
5654
Let r = -4 - -6. Let k(o) = o**2 + 14*o + 29. Let w be k(-12). Suppose 0 = -s + 3*l + 13, 5*s = 8*s + w*l + 17. What is the smallest common multiple of s and r?
2
Let q = -64024/5 + 12803. Calculate the common denominator of q and -13/298.
1490
Calculate the common denominator of -103/900 and (-1592)/(-210) - 90/12.
6300
Let h be (32 - 1) + 3/1. Let k = h - 30. Suppose 0 = -k*d - 3*d + 210. What is the smallest common multiple of 24 and d?
120
What is the common denominator of 48/3161 and ((-42)/(-27))/(((-5887)/(-42))/29)?
9483
Suppose -146*d + 282 = -302. Calculate the smallest common multiple of d and 1046.
2092
What is the common denominator of -103/1600 and (-726)/(-900)*(-18)/840*7?
8000
Suppose 2*j - 2*u + 0*u - 872 = 0, 2*j - 4*u = 866. Let f = j - 431. What is the least common multiple of 121 and f?
968
Let j be (-4)/140*-7 - (-7987283)/(-2859040). Let n = 1/17869 - j. What is the common denominator of n and -57/2?
32
Suppose 11 + 7 = y. Suppose 89*t = -i + 87*t + 6, 4*i + 5*t - 33 = 0. What is the lowest common multiple of y and i?
36
Let k = 3819 + -3270. What is the least common multiple of k and 122?
1098
Let u = -107 + 112. Let v be (-2)/(-5) + 53/u. What is the common denominator of (0 - (-6)/v)*50/18 and -1/12?
132
Suppose 4*t + 3*m = 397, 2*m - 37 = -t + 61. Suppose 2*i = 3 + 17. What is the least common multiple of i and t?
100
Let a be 3335/6600 - (-4)/(-6). Let u = 2/55 + a. Find the common denominator of -39/56 and u.
56
Let a = 7 + 11. Let j(r) = 2*r**3 + 9*r**2 - 18*r - 51. Calculate the smallest common multiple of a and j(-5).
126
What is the common denominator of 286/4368*(-35)/(-12) and -13/64?
576
Let f(h) = -h**2 - 38*h - 173. Let k be f(-29). Calculate the common denominator of 146/k + (325/(-52))/(-25) and -45/44.
44
Let v be (7 + -1)/(-3) - (7 + -13). Suppose v*t - 23 - 121 = 0. Suppose -2*r + 2*p + 48 = 0, 4*r + r + 4*p = 120. What is the least common multiple of r and t?
72
Let b(v) = -v**3 + 24*v**2 + 172*v - 42. Calculate the least common multiple of b(-6) and 3003.
6006
Let w = -18765 + 18806