Suppose 0 = -3*n - 15*n + 36. What is the smallest common multiple of (360/(-28))/(n/(-14)) and 69?
2070
Let o be (31925378/8)/((-7 - -4) + -515). Let z = -7704 - o. Let c = -8031/4144 + z. Calculate the common denominator of -25/34 and c.
272
What is the common denominator of -91/174 and (378/2520)/((-7)/25)?
2436
Let k = -70/1961 - -116675/247086. Calculate the common denominator of 71/686 and k.
6174
Let j(g) = -3*g**2 - 109*g - 414. What is the lowest common multiple of 3/(-6)*2 - -103 and j(-32)?
102
Let n(k) = 2*k**2 + 4*k + 2. Let z = -13 - -17. Let t(j) = j**2 - 4*j + 4. Calculate the least common multiple of n(-3) and t(z).
8
Suppose -11*g - 16531 + 20271 = 0. Calculate the least common multiple of g and 2.
340
Let i = -18520 + 18884. What is the smallest common multiple of 172 and i?
15652
Let u(v) = v**2 + 24. Suppose -12*g + 9*g - 435 = -4*y, -4*y + 450 = 2*g. Suppose y*b - 150 = 106*b. What is the smallest common multiple of u(0) and b?
120
Let m(d) = d**2 + 27*d - 30. Let s be m(-28). Find the common denominator of (-220)/200 + s/1 and -31/12.
60
Let z = -4053625/322 - -341316/23. Let d = -2257 + z. What is the common denominator of 97/146 and d?
1022
Suppose -17 = 5*f - 27. Suppose -4*p - 12 = -3*y, -5*y + f = p + 5. Calculate the common denominator of -2 + (p - -1) + 291/54 and -149/24.
72
Let p be 61/305 + ((-59733)/15 - -2). What is the common denominator of -1 + (-53)/8 + 2 and 4/(-14)*1 + p/(-504)?
72
Let z be 3 + 41 + 4/(-2). Let l = z + -40. Let b(f) = 2*f + 47. Calculate the smallest common multiple of b(-14) and l.
38
Suppose -r + 76 = j - 260, -5*r + 1736 = -3*j. What is the smallest common multiple of r and 140?
6860
Suppose -n = 3*v - 10, 2*v - 1114 + 1094 = -4*n. What is the smallest common multiple of v and 283?
566
Find the common denominator of ((-1200)/(-112))/((1000/35)/(-25)) and ((-3)/12)/((-2)/43).
8
Calculate the common denominator of (6963/(-869) - -8)*100/6 and -65/711.
711
Let y = 13369/9630 + 1/1605. Find the common denominator of y and -91/186.
558
Let u be (35/(-175))/(74/6). Let b = u - -114/185. What is the common denominator of b and -25/26?
130
What is the smallest common multiple of 138 and 5*6/(-80) + 2*25781/112?
1380
Let k(v) = -9*v**2 - 31*v - 6. Let p be k(-4). Let z(q) = -q - 14. What is the least common multiple of 690 and z(p)?
1380
Suppose -j = 4*c + 37, 2*j = 4*c - 3*j + 55. Let l = 14459/11 - 1312. What is the common denominator of (-256)/6*5/c and l?
33
Let t = 110033/54 + -2039. Let v be ((-6)/8)/((-1)/400). Calculate the common denominator of t and ((-1840)/v)/((-2)/(-5)).
54
Let q = 6345/2 + -288718/91. Calculate the common denominator of -145/42 and q.
546
Let p(m) = -59*m + 2809. Calculate the smallest common multiple of 372 and p(47).
1116
Let a(k) = -320*k**3 + 2*k**2 - 21*k - 23. Calculate the least common multiple of 640 and a(-1).
640
Suppose 15918 = -41*b + 34*b. Let v = -68137/30 - b. Find the common denominator of v and 8/45.
90
Let p be 310/(-40) + (-7)/28. Calculate the common denominator of -38/87 and p/18*1*(-1632)/(-476).
609
Suppose -5*s - i + 1111 = 0, -7*s + 5*i + 689 = -4*s. Let w = 243 - s. What is the least common multiple of 100 and w?
100
Let y = 8682133/104 + -83481. Find the common denominator of y and (-1*6/(-40))/6.
520
Calculate the common denominator of (-35)/110*(-7719)/(-4557) and 29/6.
462
Let z be ((-30)/75)/((-12)/(-10))*-6. Suppose z*o = 9*o - 49. What is the smallest common multiple of o and 10?
70
Let p = 68197/30294 + 134/1377. What is the common denominator of -37/242 and p?
726
Let u = -541846 + 541861. Let w = -115 - -250. What is the lowest common multiple of w and u?
135
Let i(h) = h**3 + 12*h**2 + 36*h + 172. What is the lowest common multiple of i(-10) and 2638?
15828
What is the common denominator of -25/12 and ((-1612)/3472 + 2/(-7))/((-3402)/460)?
2268
Let j = 121213/20 + -6065. Find the common denominator of j and -119/186.
1860
Suppose -8 - 10 = -3*i + 3*c, -3*i - 5*c + 50 = 0. Suppose -i = -4*t + 14. Suppose -23*k + 60 = -55. What is the lowest common multiple of t and k?
30
Calculate the common denominator of (-208)/660 - 10/(-55) - 253/(-60) and 164/6*(-3)/(-28).
84
Suppose 6*d = d + 5*l + 30, 0 = 4*d - l - 12. Suppose d*f - 7 = 5. Let m = -5255 + 5276. What is the least common multiple of f and m?
42
Let h be 4/(-24) - (2 - (-13540)/(-24)). What is the common denominator of (-6)/15 - (-1)/(80/h) and -20/11?
88
Let p = -105267 + 105277. Suppose i = -3*i + 4. Suppose -i = -m + 4. Calculate the least common multiple of m and p.
10
Let p be ((-6)/(-30) - 1/5)/2. Suppose -3*s = -f - 23, 2*s + 2*f + 0*f - 2 = p. Suppose 4*j + 2*x = 40, 3*x = -x. What is the least common multiple of s and j?
30
Let o(z) = 12*z - 9. Let p be 1*(-5)/15*-3. Calculate the lowest common multiple of o(p) and 9.
9
Find the common denominator of -7/772 and 4/12*18426/(-148).
772
Let y(m) = -2*m**2 + 10*m + 4. Let h be y(10). What is the common denominator of 130/h + 3/(-9) - -2 and 2/(-8)*(-134)/8?
16
What is the smallest common multiple of 729 and 2/(-74) - (-8200020)/8436?
2916
Let s = 374 - 350. Suppose 4*w + 94 = 2*v, -2*w - 3*w = 0. Let n = v + -17. What is the lowest common multiple of s and n?
120
What is the smallest common multiple of 1068 and 16 - -1 - (-2)/(-3)*54/36?
4272
Let z be (-12380)/(-80) - 2*2/6. Let v = -490/3 + z. Find the common denominator of 131/588 and v.
588
Let b be -6*11/(132/(-16)). Suppose 2251 = -b*a + 691. Calculate the lowest common multiple of 3 and (-1924)/a + (-2)/60*-4.
30
Let i(c) = 10*c + 8. Let b(h) = 20*h + 15. Let o(g) = -3*b(g) + 5*i(g). Let d be o(3). Find the common denominator of 317/91 + (-10)/d and 17/6.
78
Suppose 0 = 4*l + u - 772, -100*l + 97*l = u - 578. Calculate the least common multiple of 1067 and l.
2134
Let m = -823 + 907. Calculate the common denominator of 1/(-8)*(-95)/(-16) and ((-12)/(-210))/(4/m).
640
Calculate the common denominator of (228/(-45) + 4)*(-648)/4680 and 73/3400.
44200
Suppose -46 = -6*d + 62. Calculate the common denominator of ((-1)/(d/11))/(4/(-6)) and ((-20)/(-66))/((-2)/(-10)).
132
Let k(v) = 3*v + 4. Suppose -62*j = -54*j. Let x(a) = a**2 - 3*a - 3. Calculate the least common multiple of x(-2) and k(j).
28
Let r(y) = -y**3 - 16*y**2 - y + 4. Let m be r(-16). Suppose -56 = -18*a + m*a. Calculate the common denominator of 49/27 and 134/54*6*6/a.
189
Suppose l = -4*d - 0*l + 43045, 4*d + 4*l - 43048 = 0. Suppose 8*j + 63 = -d. Let b = j - -18859/14. Calculate the common denominator of b and 37/2.
14
Let f(g) be the first derivative of -5*g**2/2 + 20*g - 113. Calculate the smallest common multiple of 30 and f(3).
30
Let x = -336879/5 + 1007942163/14960. What is the common denominator of x and 83/680?
14960
Let q(t) = 3*t + 36. Suppose 3*c + 5*a + 2 = 24, 10 = c + a. Let f = 62 - c. What is the least common multiple of f and q(-5)?
336
Let m be ((-531)/45 - -11)*(-275)/(-5). Suppose -z + 0*v + 60 = -2*v, 0 = 5*z + 2*v - 252. Let l = m + z. What is the least common multiple of l and 15?
120
Let h(c) = -2*c + 14. Let z be (-5 - 1)/(1/((-4)/6)). Suppose 3*k = 3, 0 = 5*f + z*k + k + 5. Calculate the smallest common multiple of 18 and h(f).
18
Find the common denominator of 420/(-1350)*(-1275)/(-240) and -15/19.
1368
Suppose 0 = 4*m + 3*b - 173, 0 = -2*m - b - 3*b + 94. Let p = 2541482 - 25443749/10. Let l = -2889 - p. Find the common denominator of m and l.
10
Let n be 228/14 - (11 + 375/(-35)). What is the smallest common multiple of 10 and (-153)/((-12)/n + (-5)/(-20))?
1530
Let h(c) = -c**2 + 2*c + 98. Let v be h(0). Calculate the common denominator of 17/7 and 2157/(-126) - (-28)/v.
42
Let x(q) = 216*q**3 - 3*q**2 + 6*q - 31. Let d be x(4). Let n = 578255/42 - d. Calculate the common denominator of 131/120 and n.
840
Let c = 8 + -5. Let l(h) = -144*h + 585. Calculate the smallest common multiple of c and l(4).
9
Let g = 895843/14 - 64042. Let t = g + 4360/77. Find the common denominator of t and 1*7 + 7755/1880.
88
Let f(m) = 3*m**3 - m. Let l be f(1). Suppose 24 = -l*c + 5*c. Let k(h) = h**2 + 24*h + 73. Calculate the least common multiple of k(-21) and c.
40
Let p(n) = -2*n**3 - 15*n**2 - 9*n - 14. Let q be p(-7). Calculate the least common multiple of (4 - 2 - q)*3 and 3.
6
