).
410
Suppose -4*z + 28 = 5*l, 10*z - 12 = -l + 6*z. Suppose -20*h = -15*h + l*o - 56, 0 = -2*h + 4*o + 28. Calculate the least common multiple of 8 and h.
24
Let i = 1091 - 4449/4. Let a be 10/(-4)*(-6 - -5 - 7). Find the common denominator of (74/a)/(7/(70/15)) and i.
60
Let o = 24369 + -584947/24. Calculate the common denominator of o and -41/168.
168
Let q(a) = 18*a**3 + a**2 - a. Let z be q(1). Suppose z*w - 15*w = 18. What is the least common multiple of w and (5/(-2))/((-5)/40)?
60
Let b = 15 - 9. Let l(a) = 6*a - 24. Let n be l(5). Suppose n*v = 2*v + 44. Calculate the smallest common multiple of b and v.
66
Let r = 179 - -15. What is the least common multiple of r and 667/116 - (-14)/(-8)?
388
Let v be -8 + (17 - 2) + 115161. Let u = -15893051/138 + v. Find the common denominator of u and -20/7.
966
What is the lowest common multiple of (-3 - 3/15)/((-84)/1680) and 856?
6848
Let r = -23111/3 + 205803449/26715. Let g = r - -28853/3562. Calculate the common denominator of 41/11 and g.
110
Let x be (-985)/(-2)*(-4176)/580. Calculate the lowest common multiple of 672 and x/(-162) + 3/27.
7392
Suppose -145 = -3*b - 115. Let j = 27 + -7. Suppose 0 = 5*n + 3*i - 122, i + j - 112 = -4*n. Calculate the smallest common multiple of b and n.
110
Suppose j = 0, -2*j = -2*z - 4*j - 10. Calculate the common denominator of 7051/7392 - -2*z/(-35) and 81/112.
672
Suppose 1723 = -54*l + 1530 + 6673. What is the smallest common multiple of 240 and l?
240
Let s = 4685 + -4678. What is the lowest common multiple of s and 330?
2310
Suppose 4 = -2*s, 2*t = 4*s + 11 - 5. Find the common denominator of 13/6 and 2710/240 - (t - -6).
24
Let k be (-68552)/1355802 - (-2)/42. Let n = -16770091441 - -170954312324521/10194. Let j = k - n. Find the common denominator of -19/30 and j.
30
Let a = -10109 + 677315/67. Let j = 2087/804 - a. Calculate the common denominator of -9/20 and j.
60
Let k = 857973293/666191130 - -2/10093805. Suppose 15 = -2*t - 3*t. Calculate the common denominator of k and (-349)/(-30) + (-2)/t.
330
Let m = -41 + 44. Suppose -7*c + m = -4*c. What is the common denominator of c - 3/10*(-70)/(-8) and -1/82?
328
Calculate the common denominator of 17/184 and (-357441)/18648 - -23 - (2 + (-4)/(-2)).
20424
Let b be 22335 - -6*(-2)/(-3). Let u = 401977/18 - b. What is the common denominator of u and ((-97)/(-18))/((-3)/9)?
18
Let d = 14 + 18. Suppose 15 = 3*g, -4*z = -0*z - 4*g + d. What is the smallest common multiple of 4/6 - z/9 and 66?
66
Suppose 28*k = 35*k - 63. What is the common denominator of 6 - k - (94/(-128) + -1) and 21/8?
64
Suppose -139 = -4*h + 541. Let m = h - 29. Calculate the common denominator of 1 - 5 - -7 - m/38 and 42/11.
418
Let j = 471 + -373. What is the least common multiple of j and 106?
5194
Calculate the lowest common multiple of -2 - (-1 + 3) - (-478 - 30) and 84.
504
Suppose 44*z = -3*a + 49*z + 101, -z = -a + 31. What is the least common multiple of 168 and a?
1512
Calculate the least common multiple of 1/2*211 + 18/12 + 1 and 5376.
48384
Calculate the lowest common multiple of 5/(-20) + 132/16 and 1300.
2600
Let m(s) = -22*s + 1784. Calculate the least common multiple of 48*1/(-1)*-1 and m(80).
48
Let f(i) = -2*i**3 + 6*i**2 + 190*i + 13. What is the least common multiple of f(-15) and 6?
31578
Let s be (-2 - 6)/2 - -6. Let n(v) = 54*v**2 - 108*v**2 + 55*v**s - 12 - 2*v. Calculate the smallest common multiple of n(5) and 11.
33
Calculate the common denominator of 23/96 and (27 - (-469830)/(-17400))/(1 - 11/5).
2784
Let j = -11302/212553 - -83895121280/43148259. Let k = 13616/7 - j. Find the common denominator of k and 34/3.
87
Let s be 4 - (-156 + (1 + 15)/(-4)). Let j = s + -136. What is the lowest common multiple of 16 and j?
112
Suppose -11927 = -12*k + 6553. Let f be 96337*((k/(-48))/11 + 3). Let v = f - 8017. Calculate the common denominator of v and -43/20.
60
Let y = -369012 - -332110871/900. Calculate the common denominator of 27/4300 and y.
38700
Let v = -69490007/3546 + -42222/197. Let z = 19804 + v. Calculate the common denominator of z and -137/24.
72
Let b = -21 - -29. Suppose 2*i = 4*r + 104, 0 = 4*i - 3*r - 53 - 160. Suppose 5*j - 9 = -y, 0*y - i = -y + 4*j. What is the least common multiple of y and b?
136
Let m = 26593 - 26591. Let x be (11 - (-2 - -4)) + -2. Suppose x + 15 = v. Calculate the least common multiple of v and m.
22
Suppose -3*c - 66 = -3*j, -2*j + 5*c + 68 = j. Suppose -l = 12 - j. Calculate the lowest common multiple of (-16 - -20) + (0 - -26) and l.
90
Let m = -4 - -7. Suppose -m*s + 8 = -46. What is the least common multiple of (4 - (-364)/(-39))/(1/(-3)) and s?
144
Calculate the common denominator of (-492)/(-90405)*43/(-4) and 26/189.
6615
Let y(t) = -52*t**3 + 16*t**2 - 5*t - 1. What is the smallest common multiple of y(-1) and 60?
360
Let c = 13485 + -13386. Calculate the smallest common multiple of c and 154.
1386
Let y be (-312)/(-16) + (4/8 - 1). Suppose y*a - 18 = 10*a. What is the lowest common multiple of a and 73?
146
What is the common denominator of -10 - 2 - (-1111625)/92250 and 57/20?
7380
Let q(j) = -j**2 - 21*j + 146. Let w be q(-27). Let u = w - -22. Calculate the least common multiple of 3 and u.
6
Suppose i + 5*s = 99 - 15, 4*i + s = 298. Let k = -117811 - -117833. Calculate the smallest common multiple of k and i.
814
Let j = -7132 - -7147. What is the smallest common multiple of 39 and j?
195
Let l = -838 + 830. What is the smallest common multiple of 144 and (-1 + -2)*1*l/8?
144
Suppose 34*i - 39*i = 0. Suppose i = -8*x + 5*x + 54. Suppose -12 = -f + 5*b, 3*f = -2*f + b + 132. What is the lowest common multiple of x and f?
54
What is the common denominator of 11/8 and (-111 - -108) + (-16557)/(-4126) + -1?
16504
Let x = 2156443577/851265 + -18/94585. Let y = -2955 + 5493. Let z = y - x. What is the common denominator of z and 95/2?
18
Let g(v) = 63*v**3 - 2*v**2 - 2*v + 4. Suppose 0 = -3*z - d, -5*z + 4 = d + 2. What is the smallest common multiple of g(z) and 77?
693
Let u be (3*-3*(-30)/(-27))/(-2). What is the common denominator of 69/40 and (-292)/(-160) - (4 - u)?
40
Let t = 30 + -20. Suppose 45*v - 166 = 14. Calculate the smallest common multiple of t and v.
20
Let f(d) = 4*d**2 + 7*d - 2. What is the lowest common multiple of f(-5) and (1134/(-28))/(1/(-2))?
567
Let u = 597835/1644 + 11/548. Let t = 3287/9 - u. Calculate the common denominator of -97/12 and t.
36
Suppose c = -l + 26, -156 = -5*c - 4*l - 28. Calculate the common denominator of -57/68 and c/(-9)*405/(-150).
340
Let y = -8/2745 + -58487/87840. What is the common denominator of 19/480 and y?
480
Let r(t) = -211*t - 24042. Let l(x) = 4*x - 5*x + 2*x + 2*x**2. Calculate the smallest common multiple of l(2) and r(-114).
60
What is the common denominator of (-6)/88 - 6396/(-7216) and 2 + 17/(-6)*1?
66
Let i(p) = -p**3 + 4*p**2 + 12*p + 7. Let z be i(6). Calculate the common denominator of -69/8 and ((1015/10)/z)/(-4).
8
Calculate the common denominator of -71/32 and ((-248)/32 + 7)/((-144)/222 - -3).
928
Let g(c) = -371*c**3 + 74 + 10*c - 100 + 15*c**2 + 372*c**3. Suppose 28 = -2*w - 0*w. What is the smallest common multiple of 15 and g(w)?
30
Let z(y) be the third derivative of -y**6/120 + y**5/5 - 5*y**4/12 - 7*y**3/6 - 72*y**2. Calculate the least common multiple of z(11) and 44.
44
Suppose 0 = 5*y - 4*z - 8, 2*z = 4*y - z - 6. Suppose -g - 3 = y, 5*t + 16 - 88 = 4*g. What is the least common multiple of 10 and t?
60
Let f = -19423/41712 - 1/3792. Find the common denominator of 83/248 and f.
2728
Let j(k) = 2*k**3 - 78*k**2 + 80*k - 110. Calculate the lowest common multiple of j(38) and 786.
5502
Let a = 136958/143 - 10322/11. Let q be (-3002)/780 - 28/(-70). Let d = a - q. Calculate the common denominator of d and 83/6.
6
Let j be 16/56 - 24/(-14). Let c(g) = -3*g + 8. What is the least common multiple of c(j) and 136?
136
Let s(t) = -t**3 + 12*t**2 - 21*t + 268. Let v(j) = j**2 - 2*j + 20. Calculate the least common multiple of s(12) and v(0).
80
Let k(m) = -m**3 - 13*m**2 + 15*m + 204. What is the least common multiple of 4985 and k(-13)?
44865
Let m be -446 + 3 + 1 + 2. Let a be (12/30)/((-32)/(-35810)). Let o = a + m. What is the common denominator of o and -11/64?
64
Suppose 0 = 115