) + 3)/(3/(-810)) and 123?
4428
Calculate the lowest common multiple of ((-4)/(-6))/(((-253)/3465)/(-23)) and 189.
1890
Suppose -9*a - 338 = -914. What is the smallest common multiple of a and 280?
2240
Let s(m) = -5*m**2 - 4*m + 3. Let b be s(2). Let i = b + 12. Let p(q) = -q - 12. What is the smallest common multiple of p(i) and 11?
11
Let x(f) = f**3 + 4*f**2 + 2*f - 1. Let r be x(-2). Suppose -4*t = -r*p + 83, -5*t - 12 - 13 = 0. What is the lowest common multiple of 36 and p?
252
Calculate the common denominator of -8/45 and 12 + -5 - (-2094)/(-270).
45
Let z = -9577/518 + 988/37. Let g = -51103/34 - -1503. Find the common denominator of g and z.
238
Let g = -2797/172 - 21/43. Find the common denominator of 5831/(-1020) + 1/(-5) and g.
12
Let s(d) = d**3 - 2*d - 1. Let x = -6 - -12. Let f be (6/(-5))/(x/(-15)). What is the lowest common multiple of 12 and s(f)?
60
Let m = -4479/1886 + 166/41. Find the common denominator of m and -119/10.
230
Let w be ((-32)/(-10))/(2/30). Find the common denominator of -4 + 21*17/w and -29/2.
16
Let g be 0 + 2 + 0 + 888. Let v = g + -11625/13. Find the common denominator of -95/2 and v.
26
Let i(p) = -23*p - 329. Let v = 7 - 1. Calculate the smallest common multiple of i(-15) and v.
48
Suppose -376 = -34*l - 13*l. What is the least common multiple of 27 and l?
216
Let r(l) = 30*l. Let a be r(-2). What is the common denominator of 417/a - (-2)/10 and (-17)/((-510)/(-12)) - (-83)/(-80)?
16
Suppose 0*v + 12 = -4*v. Let z(a) = -3*a**3 - 4*a**2 - a - 4. Let j be z(v). Find the common denominator of -41/11 and (-3)/5*j/12.
55
Suppose 15*g = 8*g + 70. Suppose h = p - 15, 2 = -h + 2*p - 10. Let q = h + 32. What is the least common multiple of g and q?
70
Suppose 183*t = 188*t + 10. Find the common denominator of 55/12 and t/(-10)*(-35)/42.
12
Let v(c) = -c**3 + 10*c**2 - c + 10. Let l be v(10). Suppose l = d + 5*z - 2 - 20, -2*z = -4*d. Calculate the smallest common multiple of d and 22.
22
Let v = 564 + 130. Calculate the common denominator of (2/40)/(3/714) and (-8)/(-36) + v/(-288).
80
Let c be 24/(-18)*(2 - -4). Let k = -4 - c. What is the smallest common multiple of 18 and k?
36
Let m be 2*(11 + (2 - 4)). Suppose -114 = -3*b - 0*b. Let a = b - m. What is the least common multiple of 18 and a?
180
What is the common denominator of (-3)/(-30)*(-81)/(-3) and 280/15*(-6)/20?
10
Let z = -18912 + 1531817/81. Calculate the common denominator of 103/24 and z.
648
Let a = 390342713/646205 + -22350/37. Let f = 310873/69860 - a. Let k = -14/783 + -11891/1566. Calculate the common denominator of f and k.
180
Let f = -11785 + 259313/22. Find the common denominator of -31/56 and f.
616
Let u be (-694)/(-3465) - (-4)/(-20). Let s = u + -57521/6930. What is the common denominator of 37/18 and s?
90
Let z(l) = -l**3 + 7*l**2 - 9*l + 6. Let w be z(6). Find the common denominator of (-857)/(-260) - 2 - (-56)/364 and 3/w - (-446)/(-24).
60
Let q = -6510 - -1444. Let u = 86090/17 + q. What is the common denominator of u and 25/11?
187
Let r = 2/40793 - 3181964/2243615. Let c = r + -15/22. Calculate the common denominator of -48/7 and c.
70
Let y(w) = -w**3 + w**2. Let i(p) = 5*p**3 - 12*p**2 + 7*p - 1. Let l(t) = -i(t) - 4*y(t). What is the smallest common multiple of l(7) and 7?
7
Let t = 443/1704 + -264/71. What is the common denominator of -169/42 and t?
168
Find the common denominator of 565/(-1400) + 76/95 and 71/40.
280
Let c = 104 - 100. What is the least common multiple of c and 196?
196
Let s(z) = z**3 - 4*z**2 - 3. Let a be s(4). What is the common denominator of -1 - (a - (-1)/12) and -11/24?
24
What is the least common multiple of 60 and (-2)/13 - 5208/(-52)?
300
What is the common denominator of (-14)/(3 - 318/42) and 99/16?
16
Let g = 331307/90 - 3682. What is the common denominator of g and -1/90?
90
Let p(a) be the second derivative of a**3/6 - 9*a**2/2 - 2*a. Let l be p(4). What is the common denominator of (-4 - l)/(10/(-101)) and 69/20?
20
Let a = 1159 + -10471/9. Calculate the common denominator of 95/18 and a.
18
Let c = -3/1679 - -99157/53728. Calculate the common denominator of c and -157/84.
672
Let t = -8743/22 - -4340/11. Let w(h) = h**2 + 19*h + 40. Let f be w(-16). What is the common denominator of (-582)/88*(-1 - f/12) and t?
44
Calculate the smallest common multiple of 69 and ((-2)/(-4))/(-4 + 290/72).
414
Let w be (-1)/2 + (-444)/(-24). Let g(r) = r**3 - 17*r**2 - 16*r - 26. Calculate the least common multiple of 18 and g(w).
90
Suppose 0 = 3*p - 2*m, m - 3 - 8 = -4*p. Calculate the lowest common multiple of p and (-6)/8 + (-56)/(-32).
2
Let o(i) = 18*i + 136. Calculate the smallest common multiple of o(-7) and 96.
480
Let d(q) = 0*q**3 + 9*q**3 + 3*q**2 - q - q + 3 + 0*q**2. Let f be d(2). What is the common denominator of 83/6 and (f/(-10) - 0) + 2?
30
Let h = 13444 + -13392. Let z(o) = 5*o - 3. What is the smallest common multiple of h and z(3)?
156
Let k(r) = r - 10. Let n be k(8). Calculate the smallest common multiple of 28 and (4/4)/((-1)/n).
28
Suppose 3 - 1 = d. Let j be ((-12)/(-8))/((-3)/24*2). What is the smallest common multiple of d and (j + 7 - -5) + (-2)/(-2)?
14
Suppose -2*h + 36 = h - 3*n, -2*h + 3*n + 20 = 0. What is the lowest common multiple of h and (10/25)/(5/50)?
16
Let c = -14/3 - -5. Find the common denominator of c and 107/10.
30
Let n be 2*-3*4/(-12). Suppose 70 = 2*j - 0*j - 4*w, 110 = 4*j - n*w. Calculate the common denominator of 45/2 and 10/j - (-692)/(-30).
6
Find the common denominator of (64/(-80) + 357/165)*(-7)/2 and 37/60 + (-2)/3.
220
Suppose -222 = 5*r + 4*l, -4*r - 2*l - 180 = 2*l. Calculate the least common multiple of 4 and ((-8)/(-14))/((-12)/r).
4
Calculate the common denominator of -37/572 and (0 + -22)*(-27)/1080.
2860
Let b(n) = -n + 15. Let k be b(14). Suppose -q - 37 = 4*q - 4*m, 2*q + 3*m + k = 0. Calculate the common denominator of -20/7 and (-681)/165 - 2/q.
77
Suppose 3*q - 126 = -4*q. Let k(o) = -o**3 - 8*o**2 - 8*o - 1. Let d be k(-7). Suppose -77 - 55 = -d*h. What is the least common multiple of q and h?
198
Suppose -4 = 2*q + 4. What is the smallest common multiple of 4 and 84/63*3/q*-2?
4
Suppose -9*i - 62 = -8*i. Let v = -33 - i. Find the common denominator of v and (618/20)/((-12)/4).
10
Suppose -4*a = -5*i - 167, -3*i = -4*a + 33 + 72. Let n = -2891/3 - -955. Find the common denominator of n and i.
3
Let c(v) be the second derivative of v**5/20 + 17*v**4/12 - 10*v**3/3 - 2*v**2 - 13*v. What is the least common multiple of 22 and c(-18)?
352
Let i(o) = o**3 - 6*o**2 + 2. Let h be i(6). Let x be h/10 + (-537)/(-15). What is the least common multiple of 12 and 56/(-16)*x/(-21)?
12
Let d = 3568/5 + -709. What is the common denominator of 73/15 and d?
15
Let a be ((-16)/32)/((-1)/2). Let c(p) = -p**2 + 2*p - 1. Let l be c(a). Suppose l = 2*y - 6 + 2. Calculate the least common multiple of y and 4.
4
Let s be 0 + -1 + (34 - -2). Let b = 103259/6164 - 3/1541. What is the common denominator of b and (-14)/s*25/7?
28
Let x = 19449403/120 + -162077. Find the common denominator of x and 145/6.
120
Suppose -5*r - 5*s - 47 = -2*r, r + 19 = -s. What is the common denominator of 71*(-1 - 21/r) and 4/14 - 793/(-42)?
24
Let l = 1 - 1. Let s = -7 + 10. Suppose -s*i - 72 = -5*m, -3*m = 2*i - l*i - 28. What is the lowest common multiple of 8 and m?
24
Let x = -44 + 38. What is the lowest common multiple of (2/10 + (-152)/60)*x and 30?
210
Let o(g) = -5*g - 1. Suppose -3*t + 2 = 17. What is the least common multiple of ((-635)/(-35) - 6) + 3/(-21) and o(t)?
24
Let t be (-4)/3*(-35 - 1). Suppose -3*o + 8*o = -3*q + 48, o = 3*q - t. Suppose g - 108 = -5*g. Calculate the lowest common multiple of q and g.
144
Suppose -6*t = -9*t. What is the lowest common multiple of 30 and (2 + 0 - t)*4?
120
Suppose w - 8 = i, -6 = -2*w + 4*i + 12. Suppose -6*y + 260 = w*y. Calculate the smallest common multiple of 84 and y.
420
Let i = 811 + -6409/8. Calculate the common denominator of i and (-4)/10 + (-79)/(-160) + 0.
32
Suppose 5*j = -0*j + 20. Let z = 874/145 + 5/29. Find the common denominator of z and j.
5
Let p = 198 - 192. Calculate the smallest common multiple of 190 and p.
570
Let l(m) = m**3 - 4*m**2 + m - 4. Let a be l(3). Let k be 6/(-15) - 254/a. Let d = k +