(-460) + -3) and 46?
368
Suppose 126*q = 129*q - 3*n - 3114, -n + 4137 = 4*q. What is the smallest common multiple of 759 and q?
11385
Let s be (-4)/7 + (-1419)/77. Let w = s - -24. Suppose -5*r = -2*c - 6, -w*r - 3*c - 5 = -21. What is the smallest common multiple of r and 9?
18
Let m(q) = -1446*q**2 + q + 1. Let k be 4/18 + 55/(-45). Let a be m(k). Let p = -8785/6 - a. Find the common denominator of 49/8 and p.
24
Let n(t) = -t**2 - 8*t + 27. What is the smallest common multiple of 51 and n(-8)?
459
Let k be (-43067823)/24*-3*3/(-18). Let o = -898063 - k. Let s = 817 + o. Find the common denominator of s and 97/20.
80
Let v = 24038 + -721037/30. Let x = -328/19 + 2701/228. What is the common denominator of v and x?
60
Let v be (-1032)/40 - -1*2/(-10). Let m = 32 + -401/11. Find the common denominator of m and v/(-195)*5*146/8.
66
Suppose -5*i - 3*t + 66 = 0, 308*i - 5*t = 303*i + 10. Calculate the lowest common multiple of 7232 and i.
65088
Let i = -4 + 1. Let l = -1/3732 - -4979/11196. Find the common denominator of (-2 - i) + 83/4 and l.
36
Let w = 6113 + -6091. Calculate the smallest common multiple of w and 4010.
44110
Let c = -52138679/301 + 173218. Calculate the common denominator of -35/172 and c.
1204
Let v be 1185/(-5)*(-2)/9. Let c = 361/7 - v. Find the common denominator of c and 79/2.
42
Let p = -66 - -74. Let l(m) = m**3 + 14*m - 37. Calculate the lowest common multiple of l(3) and p.
32
Calculate the common denominator of (-2)/(-24)*484/14 and 449/12 + (-51444)/1429.
84
Calculate the least common multiple of (70528/224 - -16)/((-1)/(-14)) and 10.
23160
Let n(q) = -41*q - 412. Let o be n(0). Let l = 421 + o. What is the smallest common multiple of l and 27?
27
Suppose 25*w - 15*w - 3560 = 0. Let g = 374 - w. What is the smallest common multiple of 4 and g?
36
Let y = -273 - -405. Calculate the common denominator of 7/20 and y/(-8)*7/(-378).
180
Let a = 9067 - 108875/12. Suppose -2*g - 8367 = 3*n, -4*n + 5*g - 2109 = 9024. Let w = n + 61365/22. Calculate the common denominator of w and a.
132
Let z(r) be the first derivative of -r**3 + 5*r**2/2 - 18*r - 13. Let y be z(5). Let q = -53 - y. What is the lowest common multiple of 15 and q?
15
Suppose 3*w = -5 + 68. Let p be 2 + (-3)/2 - w/(-6). Suppose -p*o + 47 = -61. What is the least common multiple of 3 and o?
27
Let i(x) = -x - 14. Suppose m = -m. Suppose f + y - 7 = 1, 2*f + 5*y - 31 = m. Calculate the smallest common multiple of f and i(-20).
6
Let r(a) = 710*a + 41. Let q be r(-20). Let i = q - -283119/20. Find the common denominator of 79/42 and i.
420
Let d(q) = -3*q + 15. Let r be d(4). Suppose 4*o + 4*l - 5 = r*l, -3*l + 3 = 0. What is the least common multiple of 4 and o?
4
Suppose -4*p - 3*g - 209 = 49, -p - 5*g = 73. Calculate the common denominator of -80/21 and ((-6)/24)/(p/232).
63
Let c = 4508/11 - 220898/539. Calculate the common denominator of 129/70 and c.
5390
What is the common denominator of (-4845)/114*12/200 and 1749/1932 - (-4)/(-14)?
460
Let w(o) = -23*o + 102. Let i be w(4). Suppose i*k - 343 = 57. Calculate the lowest common multiple of 90 and k.
360
Let z = -534 + 798. Let s = z - 257. What is the lowest common multiple of s and 8?
56
Let u be 5/((3 + -7)/4). Let m = -9307/60 + 1497/10. What is the common denominator of u/(-14) + 4/(-2) and m?
84
Let g(w) = -4*w + 4. Let k be g(2). What is the least common multiple of 22 and k/(-16)*-4 + 6?
110
Let r = -147574/79 + 1868. Let h = r + -1412/395. Calculate the common denominator of 7 and h.
5
Let u(k) = -k**2 - 17*k + 47. Let a be u(-19). Suppose q = 2*q - 4. Calculate the least common multiple of (a/(-27))/(2/(-306)) and q.
204
Suppose 0 = 15*t - 148 + 40 - 162. What is the smallest common multiple of 45 and t?
90
Let n = 1/64 + 1247/64. Let l = -6987 + 4830. Let p = -19444/9 - l. Find the common denominator of p and n.
18
Suppose -1260 = -6381*d + 6346*d. Calculate the lowest common multiple of d and 288.
288
What is the smallest common multiple of 10 and ((-270)/(-8))/(108/288)?
90
Suppose 3*d - 176 - 676 = 0. Let f = 317 - d. What is the lowest common multiple of f and 30?
330
Let h = 838 + -43559/52. Calculate the common denominator of h and 51/104.
104
Suppose -8*g = -5*g - 12. What is the common denominator of -25/188 and g*1 - (108/(-45) + -5)?
940
Let a(o) = -181*o - 1. Let g be a(-1). Suppose 65*s - 60*s - 3273 = -4*y, 0 = -3*y + 5*s + 2481. Find the common denominator of -181/30 and y/g + 2/10.
30
Let g = -896201/17159823 - -3/17177. What is the common denominator of -14/1665 and g?
4995
Suppose -8*i = -14*i + 36. Suppose -i*j + 285 = -315. Calculate the least common multiple of 50 and j.
100
Let r = -161 + 170. Let x(b) = 5*b - 6. What is the lowest common multiple of x(6) and r?
72
Let r(f) = -2937*f + 15185. What is the lowest common multiple of r(5) and 1000?
1000
Let x = 10866437/1540 + 57051/77. Let z = x - 7803. Calculate the common denominator of -3/176 and z.
880
Let q = -1586 - -3482. What is the least common multiple of 44 and q?
20856
Suppose 4*d - 5*n - 13 = 3*d, -4*d + n + 71 = 0. Let c = d - 0. Let v(a) = a**3 - 18*a**2 - 2*a + 4. Calculate the common denominator of v(c) and -39/2.
2
What is the common denominator of -1/742 and (3/(-154))/(167/2171)?
8162
Suppose -8*i + 36 = 4*i. Suppose -i*q + 25 = -2*q. What is the smallest common multiple of 2 and q?
50
What is the smallest common multiple of 40 and (-4 + 14)/((-3)/(-21))?
280
Let m = -1/53 + -1745/11448. Calculate the common denominator of m and 19/366.
13176
Suppose 140 = 5*f + j + 4*j, 0 = -5*f - 3*j + 148. Let b be ((-38)/(-8))/((-8)/f). Let i = b + 27. What is the smallest common multiple of i and 6?
24
What is the smallest common multiple of 444 and 16/(-456) - 607424/(-912)?
1332
Let i = -5017510/292449 + 1218/71. Let o = i - 85557/13730. Find the common denominator of o and -107/12.
60
Let f(g) = -g**2 + 117*g + 697. What is the lowest common multiple of 497 and f(121)?
1491
Let y be (175/16 + -2)/(2760/1888). Let t = -7/230 + y. Let r = 483/2 - 9661/40. What is the common denominator of r and t?
120
Let x(m) = m**2 + 13*m - 58. Let c be x(3). Calculate the least common multiple of (-18 - c) + (-170)/(-2) and 11.
77
Let h(q) = -9743*q - 177. Calculate the least common multiple of h(-1) and 2.
9566
Let q(h) = -11*h**3 - 4*h**2 - h + 12. Let d be q(5). Let t = d - -30799/21. Calculate the common denominator of t and 194/72 - 0/(-7).
252
Let g be 10/(-18315)*(-811587)/(-28). Let m = g + -3/407. Calculate the common denominator of m and 167/90.
90
Let c(r) = -5*r - 19. Suppose -5*t = -30 + 220. Let a = -32 - t. Calculate the least common multiple of c(-4) and a.
6
Let u(z) = 83*z - 401. What is the lowest common multiple of (-147)/14*(-20)/6 and u(5)?
70
Calculate the common denominator of 4/(-30) - (3 + -1) and (-480 - -490) + (-2)/(-96)*-329.
240
Find the common denominator of (-1)/2 - (-230208)/459072 and 69/22.
52602
Let y be (0 + (-2)/3)*(-12753)/156. Let c = 1235/24 - y. What is the common denominator of 59/156 and c?
312
Suppose -28*r - 48 + 160 = 0. Let z = 16 - 14. What is the least common multiple of r and (-478)/(-10) - z/(-10)?
48
Let z(m) = -112*m - 618. What is the smallest common multiple of z(-6) and 54?
54
Let j be -14*2/4 + 3. Suppose -475 = 155*v - 174*v. Let w = v + j. What is the least common multiple of w and 15?
105
Suppose -w + 9 - 40 = -c, -50 = -2*c - 2*w. Suppose -56*p = -49*p - c. Calculate the lowest common multiple of 40/7 - (-4)/14 and p.
12
Let y be (-5 + 15)/2 - -21. Calculate the common denominator of -57/14 and 33/136 + y/104.
952
Let i = 76208321/564 + -135121. Calculate the common denominator of i and 85/16.
2256
Let q = -7692 + 7695. What is the least common multiple of q and 18?
18
Let n = 5338 - 21517/4. Let b = -1631/44 - n. Find the common denominator of b and 19*1*(-1)/(-5).
55
Let a = 13197 - 422273/32. Find the common denominator of a and -125/384.
384
Let f(h) = -7*h - 45. Let c be f(-9). Let t = 7 + -4. What is the smallest common multiple of t and ((-24)/16)/((-3)/c)?
9
Let q(g) = 7*g + 184. Let r = 108 + -132. What is the smallest common multiple of q(r) and 302?
2416
Calculate the common denominator of -47/20 and (18/3183 - 0)*(-891)/132.
21220
Suppose -104 + 624 = 13*