 + x. Let n be (-42)/399 + (-80)/(-38). Suppose -4*s = -30 - n. Calculate the lowest common multiple of s and r(3).
24
Suppose 31 = 5*d - 3*s - 67, -3*d + 4*s = -50. Let o(y) = y**3 - 14*y**2 + 46*y + 14. What is the least common multiple of o(6) and d?
22
Let h(b) = -b**3 + 20*b**2 - 6*b + 135. Calculate the least common multiple of h(20) and 789.
3945
Suppose 5 - 13 = -2*a, -3*z + 3*a = -3. Suppose -2*c - 4*s + 212 = 0, -5*c + 7*c - z*s = 221. Calculate the lowest common multiple of c and 4.
108
Suppose 7*v - 6 = 22. Suppose -5*f - 4*a = -8*a - 460, -f = -v*a - 108. What is the least common multiple of f and 16?
176
Suppose 2*r = 0, -5*s + 2*r = -146 - 24. Let k be (2*(-1 - -2))/2. Let i = k + 9. Calculate the least common multiple of i and s.
170
Let r(l) be the third derivative of -l**6/120 + l**5/10 - l**4/8 + 17*l**3/3 - 132*l**2. Let z = 23 + -17. What is the lowest common multiple of r(z) and 2?
16
Calculate the least common multiple of 10 and (-2)/(-7)*(3112 - 27/(-9)).
890
Find the common denominator of ((-18)/(-20))/(1452/110)*(-106)/15 and 139/210.
2310
Let g be ((-9748)/(-34314) - 0) + 4/(-14). Let h = 46625/34314 + g. Calculate the common denominator of -29/16 and h.
112
Let b(u) = -3*u**3 + 10*u**2 + u - 7. Let l be b(-3). Suppose -3*n = -x - l, 5*n + 4*x = -x + 295. What is the lowest common multiple of n and 50?
550
Let v = -357217/120934 + -4/5497. Let z(u) = u**3 - 10*u**2 + 11*u - 8. Let t be z(9). Calculate the common denominator of (42/(-18))/(t/39) and v.
110
Suppose n = 5*u + 757, -762 + 15 = -n - 5*u. Suppose n = 3*d + 638. Find the common denominator of d and -9/23.
23
Let h(o) = 149*o**3 - 2*o**2 + 2*o - 1. Suppose -10*f + 94 = 2*b, 2*b - 30 = 4*f - 6*f. What is the lowest common multiple of h(1) and f?
296
Let t = -80 + 86. Suppose -q + t*x = x - 23, 2*x + 6 = 2*q. Calculate the least common multiple of 8 and q*(4/10 + (-22)/5).
8
Suppose -2*z + s + 68 = 0, 53*s = -z + 50*s + 48. Calculate the least common multiple of z and 99.
396
Suppose -88 = 2*r - 3*x, r + 2*x + 45 + 6 = 0. What is the common denominator of -1*(6 - 3) + (-453)/(-84) and r?
28
Let k = -255 - -250. Find the common denominator of -47/56 and 548/(-224) + k + 6.
56
Let f be (-36)/(-2 - 2)*-3. Let d = f - -43. Suppose 10*z = 6*z + d. Calculate the lowest common multiple of z and 14.
28
Let s(v) = -235*v - 2816. What is the lowest common multiple of s(-12) and 2712?
2712
Suppose 16*u - 24 = 10*u. Suppose 0 = 28*p - u*p - 240. What is the smallest common multiple of 90 and p?
90
Let s = 119 - 28. Let b = s + -89. What is the lowest common multiple of b and 171?
342
Let f = -34 + 94. Let n(l) = 49*l + 6989. Calculate the lowest common multiple of n(-141) and f.
240
Let r = -8878/1165 + -135/233. Calculate the common denominator of r and -45/5276.
26380
Let b = -56065 + 3476111/62. Let f = b + -2763/620. What is the common denominator of 909/90 + -10 - -8 and f?
20
Let q = -139 + 95. Let l = -51 - q. Let y = 16 + l. Calculate the least common multiple of 21 and y.
63
Let g(u) = -24*u - 30. Let p be g(-1). Find the common denominator of ((-2)/(-4))/((-36)/106) and (488/(-324))/(4/p).
108
Let k = 2 + -1. Suppose 3*j + 1246 = -5*c + 4841, -j = 5. Let m = c - 719. What is the lowest common multiple of k and m?
3
Let p = -38/89 - -2655/1424. Suppose q = -2*i - 24520, -q + 2*i - 6898 = 17614. Let v = 588493/24 + q. Find the common denominator of p and v.
48
Let o = -487909/18 + 27113. Let d = -2573/684 + 85/228. Find the common denominator of d and o.
18
Let h = 412 + -802. Let k be h/(-8) + -2 + (-9)/(-4). Let q = -43 + k. What is the smallest common multiple of 9 and q?
18
Let c = -2/246809 - 3208467/6170225. Let m = -81973/15 + 5469. Find the common denominator of c and m.
75
Let h = 3782 + -515. What is the smallest common multiple of h and 9?
3267
Suppose 5*k - 23*k - 216 = 0. Calculate the common denominator of 0 - k/15*236/32 and 9/2.
10
Let a = -547/3048 + -46/127. Calculate the common denominator of 82/(-33)*(-81)/216 and a.
264
Let z(d) be the third derivative of -d**5/20 - d**4/8 + 5*d**3/3 - 30*d**2. Let v be z(5). Let g = 83 + v. What is the lowest common multiple of 7 and g?
21
Calculate the common denominator of 37/4 and (-32)/(1549568/290424) - -6.
24212
Let i(r) = 52*r - 1. Let m be i(1). Let s = 112 - 72. Let q = m - s. Calculate the lowest common multiple of 6 and q.
66
Let o = 0 - -345. Find the common denominator of 83/18 and (o/(-126))/((-8)/(-28)).
36
Let a = -861 - -876. Suppose -20 = -2*p + p. Let o = a + p. What is the smallest common multiple of 7 and o?
35
Let i(z) = -z**2 + 40*z - 32. What is the smallest common multiple of i(32) and 280?
1120
Let l = -80 - -83. Suppose y = -d - 4*d + 47, 0 = l*d - 12. Suppose y - 120 = 3*t. What is the common denominator of -19/8 and t?
8
Suppose 5*t - 6 = -4*g, -5*g + 2*t + 0*t = -24. Let f be 98 - g/20*0. What is the common denominator of (-16)/24 + f/(-60) and 25/3?
30
Suppose 3*m + 1 = -5. What is the common denominator of -1 + 67/(-14) + m and (97/(-18))/((-130)/390)?
42
Let m = 4381/4 - 1110. Suppose -5*f + 4*f + 17 = 0. Find the common denominator of m and (1/f)/((-4)/(-12*9)).
68
Suppose 5*j + 28*q - 25*q = 160, 5*j = 2*q + 185. Suppose -11*l + 97 + j = 0. Calculate the lowest common multiple of 42 and l.
84
Suppose 98 = -4*p - 10*p. Let j(u) = -15*u - 69. Calculate the lowest common multiple of 46 and j(p).
828
Find the common denominator of -7*(-10722)/5208 - 14 and 13/16.
496
What is the common denominator of 33/4 and ((-6)/12)/((-122)/316) - (23 - 22)?
244
Suppose -102 = 11*t - 146. Calculate the lowest common multiple of 616 and t.
616
Let d be (-214)/8 - 16/64. What is the common denominator of 57/16 and (39/d)/(16/(-60))?
48
Let v = 5632 - 5290. What is the lowest common multiple of v and 99?
3762
Let z = -181 + 196. What is the common denominator of 19/24 and 3 + 115/z - 6?
24
Let q = 57 - 50. Suppose -3*t = -a - 28, 0 = 5*t + 5*a + 16 - 96. What is the smallest common multiple of q and t?
77
Let v(r) = r**2 - 14*r + 58. Let o = 266 - 254. Calculate the least common multiple of v(o) and 2.
34
Let n(q) = 41*q**2 - 12*q + 60. What is the smallest common multiple of 14 and n(6)?
10248
Find the common denominator of 68/15 and -7*(-4573)/(-1428) - 7/4.
30
Let q = 68 - 32. What is the common denominator of 189/616*4*-3 and (262/q)/(24/18 - 1)?
66
Suppose -3*u - 4*u = -21. Suppose 0 = -u*x + 75 + 12. Find the common denominator of x and -10/3.
3
Let z = -373 - -374. Let p(d) = 235*d - 53. Calculate the least common multiple of p(z) and 10.
910
Let f(v) = v**3 - 19*v**2 - 17*v - 28. Let t be f(20). Let m = -25 + t. Suppose 63 = 2*y + m. What is the lowest common multiple of y and 24?
168
Let c be 6/(-12) + 9453/6. What is the common denominator of (3/6)/((c/80)/5) and -137/70?
630
What is the common denominator of 8/3 + (-3165574)/1188348 and 7/188?
9212
Let h = 5090 + -4925. What is the lowest common multiple of 1335 and h?
14685
Let y = 10/4059 - 33013/1867140. Calculate the common denominator of y and -3/4.
460
Suppose 28 = -2*c + 6*c. Suppose 12 = -c*r + 4*r, -k + 3*r + 17 = 0. Suppose -38 - 22 = -k*p. Calculate the smallest common multiple of 15 and p.
60
Let c = 2651 - 2558. What is the least common multiple of c and 66?
2046
Let v = -89 - -92. Suppose 5*y + 4*t = 79, v*t + 5 - 8 = 0. Calculate the least common multiple of 45 and y.
45
Suppose -b + 5*s - 1 = -41, -3*b + s = -50. Suppose 712*j + 54 = 717*j + 3*h, h + 62 = 5*j. What is the lowest common multiple of b and j?
60
Suppose -4*s + 2*b + 2687 + 2933 = 0, -5*b = -4*s + 5626. What is the smallest common multiple of s and 6?
1404
Let g(z) = 6*z**2. Suppose 0 = -37*a + 36*a - 80. Let h = -79 - a. Calculate the least common multiple of g(h) and 9.
18
Calculate the common denominator of 85/8 and ((-2)/8)/(122945/(-7707)).
2680
Calculate the common denominator of -77/1269 and 17/(136/24) + 6/(27072/(-13228)).
10152
Let x = 54932 - 2417013/44. Calculate the common denominator of (-1 - (-6)/(-40)) + -2 and x.
220
Let y(m) = -12*m**3 - 189*m**2 + 44*m - 24. Calculate the smallest common multiple of y(-16) and 1860.
3720
Suppose -4*v = -15 - 105. What is the least common multiple of ((-18)/(-8))/((-76)/(-304)) and v?
90
Let w(v) = 6