is the lowest common multiple of 39 and f?
1443
Calculate the common denominator of 96/(-432) - (-2)/(1656/(-218)) and ((-123)/4)/(78/(-52)).
138
Suppose -6*p - 5 - 31 = 0. Calculate the least common multiple of p*(-6)/(-4)*20/(-15) and 98.
588
Suppose 2*q - 16*q = -112. Let a = q - -4. What is the smallest common multiple of 42 and a?
84
Let k be 64*((-9)/(-2) - 5). Let o = k - -44. What is the lowest common multiple of (-19 + 3)/(1/(-2)) and o?
96
Let a = 35 - 33. Let f(m) = 21*m**a - 16*m**2 - m**3 + 7 + 2*m - 7*m**2. Calculate the lowest common multiple of f(-3) and 60.
60
Suppose -12 = -g + 3*j, -6 - 4 = 2*j. Let d be -7*(15890/49)/(-5). What is the common denominator of 9/166 and d/84 + g/(-7)?
498
What is the common denominator of 71/836 and ((-158)/(-40))/(-9*13/117)?
4180
Suppose 0 = -2*i + 4*i + 2. Calculate the common denominator of 394/370 + 5/(-25) and (-6)/21*-3*i/(-3).
259
Suppose 0 = 2*v - 0*v - 14. Find the common denominator of (v/(-63))/(2/3) and 140/14 + (4 - 1312/72).
18
Let p = -8031 - -8391. Calculate the smallest common multiple of p and 24.
360
Calculate the common denominator of (-205555)/(-752850) + (-1)/10*3 and -38/717.
2151
Suppose m = -s + 741, -4*s - 1359*m + 2970 = -1358*m. What is the least common multiple of s and 1?
743
Let q(n) = 40833*n - 9. Let l be q(2). Let v = -800563/10 + l. Let k = v - 1598. Find the common denominator of k and 33/8.
40
Suppose -327 = -m + 5*o, -4*m + 24*o - 29*o = -1533. What is the lowest common multiple of 465 and m?
1860
Let o(x) = 6*x. Let t = -69 - -75. Calculate the least common multiple of o(5) and t.
30
Suppose 9*y - 10*y = -37. Suppose y = -8*m - 11. Find the common denominator of (-159)/m*-2*1/8 and 89/2.
8
Let g(b) = -b - 1. Let w be g(-1). Suppose w*f - 14 = 2*t - f, -2*f + 1 = -t. Calculate the lowest common multiple of (-4)/(0 - (-3)/t) and 22.
132
Let y(b) = -2*b + 12. Let f be y(7). Let w be 1*1/f - (-15)/(-30). Find the common denominator of -149/36 and (-85)/6 - w*8/4.
36
Suppose -199 - 105 = -4*v. Let m(j) = 96*j + 14326. What is the least common multiple of m(-149) and v?
836
Suppose -m + 19 = -4*h, -5*m - 3 = -3*h + 4. Suppose 2*b - b - 4*l - 47 = 0, -68 = -2*b - 5*l. Find the common denominator of -41/8 and (h - 24)/(b/(-4)).
104
Let b be 808210/(-44) - ((-2)/2 + 3). Let h = b + 18374. Find the common denominator of ((-225)/(-4))/5 + -2 and h.
44
Suppose -s - t = -19 - 197, -3*s = -5*t - 664. Suppose s = 8*o + 98. What is the lowest common multiple of 5 and o?
15
Suppose 6*a = 2*a + 432. Let j = -27804 - -27864. Calculate the smallest common multiple of a and j.
540
Let q(h) = -107*h + 9. Let g be q(-1). Let w = 117 - g. What is the least common multiple of 141 and w?
141
Let r = 4569/10 + -75451/165. Calculate the common denominator of 4/2783 and r.
16698
Let q = 299563/280 + -10697/10. Find the common denominator of 111/160 and q.
1120
Let u(d) = -d**2 + 18. Let t be u(-4). Suppose -101 - 43 = -t*f. Calculate the least common multiple of 56 and f.
504
Suppose -682 = -19*w + 13625. Let o = 4531/6 - w. Calculate the common denominator of -37/30 and o.
30
Suppose -7*t = 15 + 41. Let g = 8724 + -78454/9. Find the common denominator of t and g.
9
Let o = 2070 - 1713. What is the lowest common multiple of o and 1020?
7140
Let z(l) = l**2 + 119*l + 1192. What is the lowest common multiple of 153 and z(-10)?
306
Let m = 291748 - 80522359/276. Calculate the common denominator of m and 47/556.
38364
Let x = -63561730/601 + 105760. Let s = 68217/42070 + x. Find the common denominator of -103/10 and s.
70
Let d = -111291759/92 + 1209692. Find the common denominator of 2/(-7) + 1714/560 and d.
920
Let z(r) = 34*r - 158*r - 15*r - 5 - 92*r. Let s be z(-2). Suppose 0 = 12*d - s - 119. Calculate the smallest common multiple of 3 and d.
48
Suppose 151*z = 147*z + 280. Suppose 4*f + r = -0*r + 4, 0 = -2*f - r. Calculate the least common multiple of 6 and z/20 - 1/f.
6
Suppose b - 18 = -2*b - 2*o, 0 = 5*o - 15. What is the lowest common multiple of b and -9*4/3 + 61?
196
Let p = -130739 + 30331403/232. What is the common denominator of p and -55/2?
232
Let w = -427/3429 - 3/127. Find the common denominator of w and (-181)/30 - (-108)/36.
270
Let w = -19142 - -19182. What is the least common multiple of 40 and w?
40
What is the common denominator of (15/(-10) - (-33)/(-30))/((-36)/(-10)) and 133/1314?
1314
Let v(b) = b**3 + 8*b**2 - 22. Let x be v(-6). Suppose -z - 3*p + 14 = -x, 2*z - 128 = 5*p. What is the smallest common multiple of z and 2?
64
Let q = -5813 - -528973/91. Calculate the common denominator of q and 29/35.
455
Let s(c) = 14*c + 25*c - 10*c**2 + 2*c**2 - 36 + 6*c**2. Calculate the smallest common multiple of s(15) and 6.
198
Let h be (38/(-5))/(2/54). Let z = 1478937/35 + -42043. Let i = z + h. Calculate the common denominator of -56/15 and i.
105
What is the common denominator of 39/652 and (2/652)/(-1)*(-1246)/140?
3260
Suppose -125*j + 13293 = -5388 - 1194. Calculate the least common multiple of ((-4)/(-8))/((-1)/(-6)) and j.
159
Suppose 438*r = 456*r - 1440. Calculate the lowest common multiple of r and 88.
880
Let b(i) = 4*i**2 - 19*i + 93. Calculate the smallest common multiple of 41 and b(9).
246
Suppose 1 = -5*o - 59. What is the common denominator of -4 + (-39 - -35) + 224/18 and 2/20*(-1330)/o?
36
Let q(p) be the first derivative of -p**2 - p - 4. Let n(o) = 19*o + 331. Calculate the least common multiple of n(-17) and q(-5).
72
Let w be 7 + -2 + -3*(-12)/(-9). Let b be 1434/12 - w/(-2). Suppose -5*l + b = 5*l. Calculate the smallest common multiple of l and 33.
132
Let x = 29678 - 29676. What is the lowest common multiple of x and 3032?
3032
Let s be 18/((-36)/(-6)) - 8. Find the common denominator of -27/32 and ((-498)/(-496))/(15/s).
992
Calculate the smallest common multiple of 5/(25/10)*(-3097)/38*-1 and 815.
815
Find the common denominator of -121/280 and (-225032)/595700 + (-3)/(-7).
51800
Let u = -1/73397 + -4183549/5871760. What is the common denominator of u and 39/64?
320
Find the common denominator of -1 - (19/(-152) - (-25)/4) and (-2)/(-12)*52/254.
3048
Let d = 2509 - 67730/27. Suppose -3*x + 2143 + 2051 = 0. Let j = x + -20959/15. What is the common denominator of d and j?
135
Let x(p) = -p**2 + 30. Let n be x(5). Suppose 4*h - 4*o - 47 = 33, 5 = -n*o. Calculate the least common multiple of h and 95.
95
Let q(j) = j - 37. Let a be q(8). Let r(i) = -i**2 - 26*i + 101. What is the least common multiple of r(a) and 34?
238
Suppose 0 = k - 3*p - 4, -4*k + 38 = -1309*p + 1308*p. What is the lowest common multiple of 5977 and k?
59770
Suppose -15 = -5*d, 5*d - 4*d + 17 = -5*t. Calculate the common denominator of (1/9)/(t + 125/35) and ((-9)/(-5))/(9/6).
135
Let v = -625503 - -3762217/6. Let u = 1529 - v. What is the common denominator of (-33)/72*(1 + 6) and u?
24
Let g = -665 - -662. What is the smallest common multiple of 6 and (-1 - -2)/((-1)/(g - 12))?
30
What is the least common multiple of 196 and (0 - 2)/(-6) - 8/24*-32?
2156
Let u(d) be the second derivative of 17*d**3/6 - 25*d**2/2 - 43*d + 23. Suppose 2*z - 14 = -0. What is the least common multiple of 14 and u(z)?
658
Let r = -606805/36 + 16854. What is the common denominator of 5/1032 and r?
3096
Let j = -4583 + 82471/18. Let h be 2*(7/(-2) - -2). What is the common denominator of j and -5 - h - (-321)/54?
18
Let d be 1*(-1 + 16 - -1). Let v = 6 + d. Calculate the common denominator of (-50)/275*(-14)/(-4) and v.
11
Let k(f) = -f**3 - 3*f**2 - 29*f - 77. Calculate the least common multiple of k(-10) and 830.
9130
Suppose -7*m - 145 = 100. Calculate the common denominator of 1/(-4) + (-139)/68 and (-1)/((-1)/1) + (-195)/m.
119
Find the common denominator of 31/144 and (425/1530)/(42/4*8/156).
1008
Suppose 0 = -n + 3*s + 18, 2*n + 2*s = -n - 1. Suppose 0 = n*h + 15, -r - 2*h + h = -19. Calculate the least common multiple of 3 and r.
24
What is the common denominator of -40/161 and (-786)/(-2530) + -2*11*(-14)/(-1540)?
1771
Let i = 3517188 + -84472973/24. Let n = 2524 + i. Find the common denominator of 41/88 and n.
264
Let p = 65952 - 9233337/140. Calculate the common denominator of -73/32 and p.
1120
Let p be ((-1 + 3)*-1)/(2/(-100)). Let j be (p/12 + -7)/(4/6). Calculate the co