Let l(k) = 3*k**2 - 3*k. Let f(s) = 2*s**3 - 53*s**2 - 25*s - 34. Let d be f(27). What is the least common multiple of l(-3) and ((-96)/d + 3)/(9/(-60))?
36
What is the common denominator of 1/84 and 717/(-252) + (590/120 - 5)?
84
Suppose 4*b + 3*a - 360 = 0, -29*a + 25*a + 90 = b. What is the lowest common multiple of b and 60?
180
Let l(b) = b + 6. Let d be l(-6). Let j = d + 5. Suppose 0 = j*r - 25 - 5. What is the smallest common multiple of 10 and r?
30
Let t be (3 - 0)/((-12)/80). Let v = t + 46. Let r = 47 - 27. Calculate the least common multiple of v and r.
260
Let x = 2/16131 - -2258306/274227. Let w = -3871/340 + x. What is the common denominator of -99/4 and w?
20
Suppose 3*n = -12, c - 12 = 2*n - 0. Suppose -u + 2 = -0*u. Suppose 2*j + 4*y = 12, u*j - y + 15 = 4*j. What is the smallest common multiple of j and c?
8
Suppose 0 = 8*m - 3*m - 30. What is the common denominator of 37/6 and ((15/99)/5)/(m/171)?
66
Let z be 2/(-7) - (-2)/7. Let f = -5071/16 - -315. Find the common denominator of f and z/1 - (-436)/24.
48
Let b = 21 - 18. Suppose -b*k - 4*h - 126 = -0*k, -155 = 4*k + h. What is the common denominator of k and 2 + (-1)/(18/160)?
9
Let r = 26 + -16. Suppose -3*z = -4*z + r. Let h(n) = -3*n**2 + 137*n - 82. What is the smallest common multiple of h(45) and z?
40
Let j = 151507/10296 + -1606/117. Find the common denominator of 21/110 and j.
440
Suppose -39*i = -44*i + 40. Suppose -2*l - 2*r = -6, -r - 21 = -6*l + l. Let y = i - l. Calculate the least common multiple of y and 16.
16
Let b be (-3 - 9/(-6))/((-9)/12). Let y = 15 + -10. Suppose -3*k + 89 = y*j - 6*k, -b*j = -2*k - 38. Calculate the smallest common multiple of j and 20.
80
Let t = -182611 - -100481341/550. Let q = t + -2178/25. Let z = 56/37 - 4155/814. Find the common denominator of z and q.
22
Let v(x) = -x - 6. Let f be v(15). What is the common denominator of 81/f*(-7)/4 and -109/14?
28
Let j(a) = a**3 - 14*a**2 + 27*a + 3. What is the least common multiple of j(12) and 5?
195
Calculate the common denominator of 133/36 and 14 + -18 - 159/6.
36
Suppose -4*i = -g - 4 - 20, -3*i + 2*g + 23 = 0. What is the least common multiple of (-3744)/(-234) - (1 - -12) and i?
15
What is the common denominator of (-2)/(-7) + 1054/84 and (-8)/(-620)*5*11/(-4)?
186
Let d(p) = 5*p - 26. Calculate the smallest common multiple of d(8) and 57/((99/(-30))/(-11)*5).
266
Let l(k) = -k**2 + 9*k + 12. Suppose 0 = -4*r + 103 + 89. Suppose 22 = 3*t - 2*o, -r = -6*t + 2*t - 2*o. Calculate the least common multiple of 1 and l(t).
2
Calculate the lowest common multiple of 2/(-6) + 1928/24 and 20.
80
Suppose 0 = q + 5*b - 76, -q + 56 = 2*b - 5. What is the least common multiple of q and 136?
408
Let i = -697 + 715. Calculate the lowest common multiple of 6/(-9)*12/(-2) and i.
36
Suppose -66 = -3*u - 3*d, 516*u = 520*u - 5*d - 34. Suppose -2*i - i = -36. Suppose 5*f = 2*f + i. What is the lowest common multiple of u and f?
16
Calculate the common denominator of -37/60 and 254/4*-4*(-1)/(-24).
60
Suppose -7*l = -l + 18. Find the common denominator of ((-567)/140)/l + 0/(-1) and -1/22.
220
Let u be (-2 - 1) + 1 + (-119447)/(-20). Let r = 5975 - u. What is the common denominator of 7/6 and r?
60
Let b = -23/27 - 233/54. What is the common denominator of -9/248 and b?
744
Let u = -8778 + 140529/16. Let s = 1571/12 + -141. What is the common denominator of s and u?
48
Let i = -17 - -5. Calculate the common denominator of (-36)/14*i/16 and 107/18.
126
Let o = 378 - 306. What is the smallest common multiple of o and 24?
72
Let c = -142 + 148. Suppose 2*a - c*a + 96 = 4*f, -f - 4*a = -24. What is the smallest common multiple of f and 33?
264
Let t(p) = p + 3. Suppose -4*l + 3*a = 6, -5*l = -l - 5*a + 10. Let d = l - -2. Calculate the lowest common multiple of t(-1) and d.
2
Let l(w) = 3*w**2 + 4*w + 8. Let i be l(-3). Suppose 6*v - 25 = i. Calculate the smallest common multiple of v and 12.
24
What is the smallest common multiple of (-1084)/(-24) + 4*3/(-72) and 3?
45
Let l = -1892 - -1908. Let k = 238 - 150. What is the lowest common multiple of l and k?
176
Let f = -4018 + 44158/11. What is the common denominator of -33/130 and f?
1430
Suppose -1168 = 4*o - 1268. Calculate the smallest common multiple of o and 44.
1100
Let f(b) = b**2 - 2*b - 10. Let a be f(5). Suppose 4 = 4*h + n - 1, -h + 17 = -a*n. Calculate the least common multiple of 6 and h.
6
Suppose 0 = -v, -141 - 39 = -3*b + 3*v. Calculate the lowest common multiple of b and 36.
180
Let p = 160 - 156. Let o = -9 - -21. Suppose 3*w - 9 = -p*b + o, -2*w = -5*b - 14. Calculate the smallest common multiple of 7 and w.
7
Let p(w) = w**3 + 8*w**2 - 8*w + 9. Let h be p(-9). Suppose h = -m + 6. Calculate the least common multiple of m and 6.
6
Let i be 14097494/(-448) - (-6)/(-21). Let m = -31471 - i. Find the common denominator of m and -18.
32
Let d = -631 + 785. Calculate the least common multiple of d and 28.
308
Let o = 2/827 + 48785/3308. Let r = -105419/10284 - -2/2571. What is the common denominator of r and o?
4
Let y = 73 + -69. What is the least common multiple of y and 9?
36
Calculate the least common multiple of 116 and 16/(-88) + (-222)/(-11).
580
Let t = -701/48 - -91/16. Calculate the common denominator of t and (-595)/84 - 1/((-5)/30).
12
Suppose 0 = -24*h + 288 + 288. What is the least common multiple of h and 282?
1128
Let o = -9 + 14. Let r(s) = s**2 + 4*s - 28. Calculate the smallest common multiple of r(4) and o.
20
Suppose -4*r + v = -2*r - 20, 0 = 4*r + v - 34. Let o(i) = -i**3 + 9*i**2 + i - 7. Calculate the least common multiple of 10 and o(r).
10
Suppose 0*t - 2*t + 2*v + 28 = 0, -28 = -4*t - 3*v. What is the lowest common multiple of 9 and t?
90
Let x(l) = -8*l - 29. What is the least common multiple of x(-4) and (((-60)/(-2))/3)/2?
15
Let p = -197 - -517. What is the least common multiple of 12 and p?
960
Suppose 47 - 9 = -t. Let v = t + 62. Calculate the common denominator of -107/6 and ((-36)/28)/((-9)/v).
42
Calculate the common denominator of 19/8 and (-2)/((-96)/342) + 5.
8
Calculate the common denominator of (2/(-78))/((-66)/(-3069)) and 15/2.
26
What is the smallest common multiple of -2 + 11 + -3 + 3 and (4 - 2)/((-2)/(-3))?
9
What is the common denominator of 20/(-16)*(-436)/100 and 51/14?
140
Let m(w) = 8*w**2 - 32*w + 62. What is the smallest common multiple of 9 and m(5)?
306
What is the lowest common multiple of (42/12 - 3) + 195/10 and 3?
60
What is the smallest common multiple of 41 and (-26)/(-22) + (-3)/(-132)*-8?
41
Let v be 1 - -6 - 24/(-30)*-5. Suppose -5*i + 3*s = -v*i + 1, -5*i + 40 = s. What is the lowest common multiple of i and 8?
56
Let d = 7 - -13. Let v(m) = 2*m**3 + 8*m**2 + 6*m + 5. Let u be v(-5). Let y = u + 91. What is the smallest common multiple of y and d?
80
Let q = 15673/6 - 2620. What is the common denominator of q and (-6)/21 - (-3)/((-4032)/(-8056))?
24
Let c = -515749/131115 + 2/8741. Calculate the common denominator of c and -17/125.
375
Let l be (-3)/((-90)/(-12))*-20. Suppose 10*q = l*q + 30. What is the lowest common multiple of q and 6?
30
Suppose 5*c - a - 132 = 148, a = 0. Calculate the least common multiple of c and 48.
336
Suppose 0*v + 3*v + 2*r = 30, 0 = -3*v - r + 30. Suppose 3*o + 213 = -5*q + 658, 5*q - 450 = -4*o. Calculate the lowest common multiple of q and v.
430
Let s(a) = a**2 + 7*a + 12. Let n be s(-6). Suppose 5*j - n = i, 3 + 7 = -3*j + 4*i. Suppose -f - 5 = -6. What is the lowest common multiple of j and f?
2
Suppose 5*d - d = -4*w, 2*w = 0. Suppose 3*a - 18 = -3*v, 4*a - 5*v + 4*v - 14 = d. Calculate the lowest common multiple of 4 and a.
4
Suppose 5*f = 3*f + 3*c + 537, 2*c - 2 = 0. Suppose -t + 2*o = -74 + 8, -5*o = -4*t + f. Calculate the common denominator of 281/t - (-8)/28 and 19/6.
30
Let t = 4/489 + -11887/78240. Calculate the common denominator of t and 53/120.
480
Suppose -3*b - b - 28 = 0. Calculate the common denominator of -2 + 339/42 + -3 and 11/(9*2/b).
126
Let z be (-6)/(-8)*(5233/(-3) + 0). Let p = 1297 + z. Find the common denominator of -65/14 and p.
28
Let y = -1176 + 1187. Let o(u) = u**3 + 6*u**2 - 2*u - 6. Calculate the smallest common multiple of o(-6) and y.
66
Let j = 8 - 68. Let r = -32 + -6. Let q = r - j. Calculate the 