s the least common multiple of h and 9?
9
Let s = -30 + 34. Suppose 4*r + 3 = -8*y + 3*y, s*r + 2*y - 6 = 0. Calculate the least common multiple of 8 and -1 + (45/r)/3.
8
Let x be 3 - (11/(-1) + 1). Let r = 1 + 3. Suppose 4*m = -r*z + 4 - 0, -4*z + x = m. Calculate the smallest common multiple of z and 11.
44
Let x be 258198/(-54) + (-12)/(-27). Let v = x + 86017/18. What is the common denominator of 29/6 and v?
18
Suppose 5*x = 4*z - 175, 9 = 22*x - 25*x. Calculate the lowest common multiple of (-104)/(-2) - 2/1 and (174/(-232))/((-6)/z - 0).
50
Suppose 0 = -2*f - 14*l + 11*l + 57, -f + 33 = 3*l. Calculate the smallest common multiple of 1336 and f.
4008
Suppose g + 2*f - 172 = 0, -g = -f - 207 + 26. What is the common denominator of -8/273 and (-30)/(-20) + g/8?
1092
Let g = -249685 + 356702. Let o = g - 11557915/108. Calculate the common denominator of 43/81 and o.
324
Let i = -370123 - -7772654/21. Find the common denominator of i and 2*46*2/(-30).
105
Let s(k) = -10*k + 91. Let u be s(7). What is the common denominator of ((-741)/(-36) - 2) + 14/u and 137/24?
24
Let y = -380827/22 - -17306. Let f = -1604 - -15921/10. Find the common denominator of f and y.
110
Suppose l - 5*l = 3852. Let s = l + 2816/3. Find the common denominator of s and (-168)/252*(4/(-32))/(2/212).
6
Suppose -41*b - 376 + 2016 = 0. Let c = 4 - -8. What is the least common multiple of c and b?
120
Let a(c) = -3*c**2 - c. Let r be a(-3). Calculate the common denominator of 10/40 + (-550)/r and -41/40.
120
Suppose 110*h + 16219 - 37586 = 67513. Calculate the lowest common multiple of 16 and h.
1616
Suppose -80 = 194*y - 198*y. Let h(x) = -x**3 - 33*x**2 + x + 73. What is the smallest common multiple of h(-33) and y?
40
Let b(m) = -m**3 + 13*m**2 - 15*m - 10. Let n(w) = 2*w**3 + w**2 - w - 1. Let c(p) = b(p) + n(p). What is the lowest common multiple of 1938 and c(-15)?
3876
Suppose 3*v = 3*z + 1512, 0 = -z - 0*v - 3*v - 496. Let n = 859 + z. Calculate the smallest common multiple of n and 5.
1785
Let n(z) = z**3 + 5*z**2 - 6*z. Let h be n(-5). Calculate the lowest common multiple of 2 and ((-2)/h*-6)/(8/680).
34
Let h be (-2)/15 + -4 + (-19426)/420. Let q = h + 66/35. Find the common denominator of (108/45)/(27/20)*12 and q.
6
Let r = -12132 + 485211/40. Calculate the common denominator of -28/5 and r.
40
Suppose 24*s = 49*s - 750. What is the common denominator of -76/105 and (-158)/s*-1*(-23 + 24)?
105
Let o = 180/89 - 28493/12460. Find the common denominator of o and -25/252.
1260
Let j = 28 - 16. Let d be (-3 + 0 + 6)*(-40)/(-12). Suppose 77 = d*c + 17. What is the smallest common multiple of j and c?
12
Let z be (-66)/(-15) - 1 - (-4)/(-10). Let d be ((-2)/z)/((-7)/42). Find the common denominator of 12/5 and (64/(-44))/((-2)/d) - 0.
55
Let q = 1392263/3277413 + 2/64263. Calculate the common denominator of -17/2400 and q.
122400
Let g = 53 + -51. Suppose -3*m + 23 = g. Calculate the smallest common multiple of m and 69.
483
Let w(t) = -2*t**2 + 8*t - 1. Let b be w(4). What is the common denominator of -51/4 and b + 190/105*-3?
28
Let w = 2/3943315 - 2308416953/694023440. Let r = -7/880 - w. What is the common denominator of r and -43/14?
154
Suppose 8*u = -0*u + 3488. What is the common denominator of 107/6 and (u/144 + -3)*66/(-4)?
24
Let y be 60/(-9)*(-1 - (-3459)/24). Let o = -952 - y. Let j = -6284 - -207323/33. What is the common denominator of o and j?
66
Calculate the least common multiple of 160 and (-532)/28 + 178101/110 + 1/(-10).
1600
Suppose -12*l - 1531 = -5998 - 477. Calculate the smallest common multiple of l and 28.
2884
Suppose 3282*c + 19424 - 53840 = 31224. Let y(l) = 11*l + 2. Let m be y(2). Suppose 0 = -3*u + 21 + m. What is the least common multiple of u and c?
60
Suppose -11753 = -166*u + 6341. What is the least common multiple of 31 and u?
3379
Suppose 3 = -3*b + 21. Let a be (6 - 4)*b*1. Suppose a*m = 5*m + 70. What is the least common multiple of m and 2?
10
Suppose 21*p - 23*p + 6 = a, 4*p + 16 = 5*a. Suppose 0 = a*u - 3*f - 806, -3*u + 390 = -f - 212. What is the smallest common multiple of 11 and u?
2200
Let f(p) = 18*p + 18. Let n be f(8). Find the common denominator of (4/n)/(16/96) and 101/114.
1026
Suppose -7*d - 16992 = -55*d. Calculate the smallest common multiple of 122/7 - (-8)/14 and d.
1062
Let p = 3 + -1. Suppose 0 = -3*u + p*n - 14, 4*u - u - 5*n = -17. What is the common denominator of u/2 + 145/18 and -113/6?
18
Let j = -1/968219 - 18966441973/17427942. Let u = j + 1088. What is the common denominator of u and (29/(-3))/(0 - 2)?
18
Let l(s) = 0 - 3*s + 21 - 4. Let h be l(-9). Suppose 2*m - h = 2*y, 2*m - 4*y = -0*y + 48. What is the smallest common multiple of 18 and m?
180
Let a = 8 + -5. Find the common denominator of (-18)/(-5)*6741/(-5992) and ((-2)/a)/(3/111).
60
Suppose 6*w - 1049 = 379. Calculate the common denominator of (32 - -1)/(-11) - w/(-50) and 79/40.
200
Let z(c) = c**3 - 2*c**2 + 2*c + 4. Let q be z(0). Suppose -4*r - 136 = -q*s, s + r - 25 = 9. Calculate the smallest common multiple of s and 5.
170
Let q(z) = -1280*z - 4276. Calculate the smallest common multiple of q(-6) and 46.
3404
Suppose 4*y + k = 7*y + 14, -2*y - 9 = -k. What is the common denominator of 57/9 + y - (-124)/(-16) and -41/12?
12
Suppose 4*j + 5*v = -315 - 2263, 3*j + 1951 = 5*v. Let x = j + 650. Calculate the lowest common multiple of 15 and x.
15
Calculate the least common multiple of 339 and 38/10 - (-2)/10 - -787.
2373
What is the least common multiple of -84*((0 - (-1 - -2)*-2) + -8) and 216?
1512
Let y = 4 + 107. Suppose 0 = -g + 5, -g + y = 4*j + 2*g. Calculate the lowest common multiple of j and 12.
24
Let f be -6*(-4 + 54 - (-2)/(-2)). Let r = -214 - f. What is the smallest common multiple of 5 and r?
80
Let t = 6438 + -289729/45. Find the common denominator of 9/(36/16) + (-603)/270 and t.
90
Let p(k) = -71*k**2 + 4*k. Let z be p(2). Let g = 1177/4 + z. Find the common denominator of g and -99/248.
248
Suppose 0 = a + 3, 2*t = 2*a - 22 + 58. Let w(m) be the first derivative of -m**3/3 + 9*m**2 - 14*m - 14. What is the least common multiple of w(14) and t?
210
Suppose -4*r + 7560 = 4*r. Let l be (18/r)/((-2)/667). Let p = -62/21 - l. Calculate the common denominator of p and 17/10.
10
Find the common denominator of 107/156 and 26 + 104338/(-3705) - 2/19.
780
Suppose 4*r - 931 = -0*r + 3*p, 0 = 3*p + 3. Let n = r - 181. What is the lowest common multiple of 36 and n?
612
Let i(p) = -2*p - 91. Let w be i(-17). Let o be ((-1)/2)/((-19)/2236). Let m = w + o. What is the common denominator of m and 2?
19
Let o(l) = 84*l + 8. Let q be o(-1). Let f = q - -97. Calculate the least common multiple of f and 3.
21
Find the common denominator of -3*(-96)/(-45) + ((-65)/10 - -7) and 37/302.
1510
Let i = -286 - -6. Let t = 46/3907 - 12018438/42977. Let u = i - t. Find the common denominator of u and -59/10.
110
Let q(v) = v**2 + 7*v - 65. Let m be (3 + 2/6)*(-72)/20. Let b be q(m). What is the common denominator of (-703)/522 + b*(-14)/(-315) and 58/5?
290
Let q(o) = o**3 + 7*o**2 - 8*o + 12. Let k be q(-8). Let y be ((-5)/((-5)/k))/(8/(-20)). Find the common denominator of (-40)/y*133/24 and -63/20.
180
Calculate the least common multiple of 70 and (-14 + (-230)/(-20))*-124.
2170
Let m(p) = 8*p - 25. Let c = 12 - 7. Let f be m(c). What is the smallest common multiple of 27 and (-3 + (-27)/6)*(-48)/f?
216
Let m be 5/((-4)/(-18) - (-230)/(-954)). Let i = 36 + m. Calculate the lowest common multiple of i/(-7) + 26/91 and 30.
330
Suppose 2253*z - 2240 = 2237*z. What is the least common multiple of z and 180?
1260
What is the common denominator of 91/2398 and 235/(-3052) - (-1682)/5887?
4796
Suppose 1260 - 1328 = -3*o - 4*i, 0 = -4*o - 4*i + 92. Calculate the least common multiple of 3 and o.
24
Let z be (31/6)/((-5)/(-30)*21). Let u = -845/84 + z. Find the common denominator of 76/45 and u.
180
Let r(y) be the third derivative of y**6/120 + y**5/10 - 7*y**4/12 + 11*y**3/3 + 30*y**2 - 2. What is the lowest common multiple of r(-8) and 76?
228
Suppose 42*w = 34*w + 64. What is the lowest common multiple of w and 672?
672
What is the lowest common multiple of 132 and (26 - 13 - -595) + 1*4?
6732
Let t be -1 + -60 + ((-5)/5 - 3). Suppose -y = -0*