*(-220)/8. Find the common denominator of -2 + ((-39)/(-36)*g)/1 and 2 + 6 + 187/(-15).
30
Let z be 180*((-8)/16)/(1/8). What is the common denominator of (2 - 126/(-10))/(z/(-200)) and -5 - -2 - 135/(-6)?
18
Suppose 4*c = -x + 26, -4*x = 4*c - 3 - 17. What is the common denominator of 15/(-10) - 97/(-22) and c?
11
Let a = 45673/753320 - -5/1018. Calculate the common denominator of a and -127/740.
1480
Let q = 315 - 205. Calculate the least common multiple of 5 and q.
110
Let f be (-12)/(-18) - 239/3. Calculate the common denominator of ((-1)/2)/((-180)/(-2004)) and ((-3)/6)/((-6)/f).
60
Let p(z) = 34*z**2 + 32*z - 207. What is the smallest common multiple of 365 and p(5)?
4015
Suppose -2*w + 18 = 4*c, -5*c + 12 = -4*w + 3*w. Suppose -3*r + 14 = 8. Suppose r*b - 23 + 1 = 0. Calculate the lowest common multiple of w and b.
33
Suppose 3*v + 24 = p + 7, 5*p - 25 = 3*v. What is the lowest common multiple of 174 and -18*15/(-40)*2*p?
1566
Let y = 24 + -14. Calculate the lowest common multiple of 84/(-36)*9/((-75)/6 + 2) and y*2*2/8.
10
Let k(j) = -j**3 - 18*j**2 + 64*j + 53. Let g be -2*1/(-2) - -2. Calculate the least common multiple of (-1)/(-1) + 21/g and k(-21).
32
Let u = -103/13 + 1463/78. What is the common denominator of u and -53/92?
276
Suppose g - 5*g + 12 = 0. Let d be -69 + g + 1 + 3. What is the common denominator of -7/10 and 4/d*-8 + (-22)/11?
310
Let t = -12625 - -12631. Let n(m) = 5*m + 3. Let f be n(3). Suppose -3*r + 37 = -0*r + 5*x, -2*x + f = 2*r. What is the least common multiple of r and t?
12
Let n(t) = -t**3 - 18*t**2 - 66*t + 3. Let g(v) = v**3 + 12*v**2 + 8*v - 5. What is the smallest common multiple of n(-13) and g(-11)?
112
Let p = -2417/1484 - -145/53. Let b(z) = z**3 - 5*z**2 - 39*z - 5. Let k be b(9). Calculate the common denominator of p and 17/7 - 24/k.
28
Suppose 12770*v + 68352 = 12802*v. What is the least common multiple of v and 9?
6408
Suppose 8*p = n + 7*p + 171, -5*p - 905 = 5*n. Let q = 2/471 + -5601/314. What is the common denominator of q and (-11)/44 + (-30)/n*-18?
66
Let p be 1 + 4*(-495)/(-36). Suppose -5*s - 89 = 171. Let y = s + p. Calculate the smallest common multiple of 9 and y.
36
Suppose 3*z - 47 = 2*p, -4*z + 7 = -3*p - 56. What is the least common multiple of 408 and z?
2040
Let j be (-2)/3*(-154)/35. Let y = j - -1069/60. Let d = -7021/2952 + 32/369. What is the common denominator of d and y?
24
Suppose -69 = -5*a + 3*k, -3*a - 4*k + 41 + 12 = 0. Let p(z) = -z**2 - 7 - 3*z - 11*z - 15. What is the lowest common multiple of p(-12) and a?
30
Let v = -1060563853889/130 + 8158098154. Let a = -85337 - v. Calculate the common denominator of 107/22 and a.
1430
Let s = 1618 + -1298. What is the lowest common multiple of 70 and s?
2240
Let z = -177/11 + 99769/6160. Calculate the common denominator of z and 109/168.
1680
Let b = -8/787 + -46313/11805. Find the common denominator of b and (2502/(-240))/(9/(-4)).
30
Let s = 1945/467522 + -1/538. Calculate the common denominator of 37/395 and s.
4345
Let d = -118 - -122. Suppose -2*i - i + 16 = -4*x, d*i = x + 30. Suppose -s + 6*s - 220 = 0. Calculate the least common multiple of s and i.
88
Let m = -258884/248975 - 2/9959. Find the common denominator of -8/55 and m.
275
Let q be ((-1751)/(-51))/(51/9). Let m = 2435/357 - q. Find the common denominator of m and -49/3.
21
Suppose 9207 = 40*v - 33713. What is the lowest common multiple of v and 87?
3219
Let u = -159 + 171. Suppose 0 = -9*m - u*m + 504. Calculate the least common multiple of 6 and m.
24
Let y be (-1)/(5/(-35)) - (-15)/(-5). Let h(t) = -t**3 - 6*t**2 - 6*t - 2. Calculate the smallest common multiple of (3/(3/5) - 1) + y and h(-5).
24
Let u = 4532983/75 - 60441. Find the common denominator of u and (-2)/(-11)*6201/3510.
825
Suppose 260 = 2*x + 3*x. Calculate the least common multiple of (-13)/((-117)/162) + 0 + -2 and x.
208
Let y(p) = -p**3 - 2*p**2 - 10*p - 4. Let i be y(-4). Let d = 665 - 2042/3. Find the common denominator of d and 115/i - 90/120.
51
Let b = 3996 + -99929/25. What is the common denominator of b and 39/235?
1175
Suppose 3*k = 3*l - 21, -l + 0*k - 4*k + 17 = 0. Let j(p) = -p**3 + 12*p**2 - 27*p + 5. What is the lowest common multiple of 14 and j(l)?
70
Suppose -14*x + 25*x = 0. Suppose 3*f - a = -x*f + 148, 32 = f + 4*a. Calculate the smallest common multiple of f and 8.
48
Let a = 1952 - 1902. What is the smallest common multiple of a and 300?
300
Let a = 11/2821 - 206571/163618. Let x = 129187/45 + -53819/15. Let i = x + 2176/3. What is the common denominator of a and i?
522
Suppose -3*l + 473 = -a, -4*a + 7*a = l - 1435. Let n = 481 + a. Calculate the least common multiple of 26 and n.
26
Let a be (-3)/((-6)/(-40)) - -2. Let d be (-27 - (-13 - 13))*(2 - (-108 + 0)). Find the common denominator of (a/(-30))/(4/d) and 24/31.
62
Calculate the lowest common multiple of 11 and 817/2*(-441 - -479).
170753
Calculate the common denominator of -57/610 and 15/(-915)*-2*(-9 + -1).
610
Let f be 6 - ((-1 - 4) + -11). Suppose f*t - 26*t + 140 = -4*u, 0 = 2*t + 5*u - 35. What is the lowest common multiple of t and 39?
390
Let g(f) = -f**3 - 11*f**2 + 41*f - 17. Let x be g(-14). What is the lowest common multiple of 24 and ((-2)/x)/((-100)/990)*-15?
792
Calculate the lowest common multiple of 240 and 240*((-8)/(-32) - (-426)/(-48)*-2).
4320
Let r = -2/13 + 657/130. What is the common denominator of 151/450 and r?
450
Suppose 5*j - w - 3486 = 0, -5*j + 4*w + 3246 + 228 = 0. Let g = j - 671. Calculate the lowest common multiple of g and 96.
864
Suppose -2*s + 2222 = 2086. What is the least common multiple of s and 174?
5916
Let y be ((108/(-6))/(-6) - 4) + 64. What is the smallest common multiple of 6 - 0 - (-3 - -2) and (y/(-2))/(-9) - 42/(-28)?
35
Suppose -14*f = -9*f + 240. Calculate the least common multiple of (f/14)/((-40)/140) and 24.
24
Let a be (-100)/(-3)*1428/170. What is the least common multiple of ((-8)/14*9)/((-60)/a) and 9?
72
Let q be (621/(-36))/((-3)/(-12)). Let d = -66 - q. Suppose 0 = u + 2*u - d. What is the smallest common multiple of u and 12?
12
Let m be 91/(-105) + (-4)/30. Let r be 15*2*2/4. Find the common denominator of (12 - r)*m/(-2) and -35.
2
Let l(u) = u**2 - 19*u - 18. Let t be l(16). Find the common denominator of 332/96*-1*-2 and (t/(-24) - 2)/18.
24
Let o = -438 + 438. Suppose -7 = m - 4*m - 4*l, 3*m - 4*l - 47 = o. Calculate the least common multiple of m and 81.
81
Let g(s) = -7*s**2 - 12*s + 28. Let r be g(3). Let u = 78 + r. What is the least common multiple of (-2)/((-8)/(-6))*-2 and u?
21
Suppose 3*s - 4336 = d + 13298, 3*s + d - 17646 = 0. What is the lowest common multiple of 15 and s?
5880
Let l(p) = 97*p**3 + p + 1. Let m(o) = o**3 + 21*o**2 - 23*o + 23. What is the lowest common multiple of l(1) and m(-22)?
495
Let k(t) = 67*t - 344. Let x(j) = j**2 + 4*j + 7. Calculate the lowest common multiple of k(6) and x(-3).
116
Suppose 4*h = 4*z + 143 + 429, -3*h = z - 417. Suppose 0*f - 4*f = h. What is the common denominator of 1*4 + f/(-9) and -11/7?
63
Let n = -234 + 941/4. Let z = 19893032 + -318186211/16. Let r = -6397 + z. Calculate the common denominator of n and r.
16
Let v = 9036 + -5835. What is the smallest common multiple of 1164 and v?
12804
Suppose -45*g = -40*g. Suppose -2*y = -5*f - 37, y + 4*f + g = -14. Calculate the lowest common multiple of y and 127.
762
Suppose t + p = 528 + 1026, 0 = 5*t - 5*p - 7710. What is the smallest common multiple of t and 1032?
3096
Let o = 1726 + -8661/5. Let v = 1/269 + -7831/8070. What is the common denominator of v and o?
30
Let r = -236948687 - -7107658823/30. Let b = r - -26731. Calculate the common denominator of 57/10 and b.
30
Suppose 2*h - 58 = 5*o, 4*h = 2*o - o + 152. Suppose -3*n + 111 = 2*t + 2*n, -t + 3*n = -h. Calculate the smallest common multiple of 36 and t.
144
Suppose -4*n + 165 = d - 124, 5*n - d - 359 = 0. Calculate the smallest common multiple of n and (-35)/(-11) - (357/(-33) - -11).
72
Suppose -31*x - 186 = -25*x. Let g = 37 + x. What is the smallest common multiple of g and 15?
30
What is the common denominator of 115/1224 and (-57 - -52) + 1 + (-29452)/(-7344)?
3672
Let p = 54877 + -1920648/35. Let o = 342443/440 + -8574/11. What is the common denominator of p and o?
2