e the common denominator of -97/30 and 17/(142 + -23) - ((-327)/3150 + 0).
150
Let a = -203 + 280. Calculate the lowest common multiple of 22/a - ((-57)/21 + 1) and 14.
14
Let h = -7287 - -7327. Calculate the lowest common multiple of 1770 and h.
7080
Suppose -4*g = -5*r - 0*r + 14, 3 = -3*g. Suppose 3 = r*p - 5. Suppose 5*t + 6*f - 45 = f, 0 = -5*t + 3*f + 61. Calculate the least common multiple of t and p.
44
Let d(u) = -269*u**2 - 6*u - 8. Let j be d(-2). Let w = -758 - j. Suppose t - 3*x + 2 = 0, -2*t + t = x - 6. Calculate the least common multiple of w and t.
628
Let x be 0/(-1) - (2170/9927 - -3). Let h = x + -4/1103. What is the common denominator of -20/31 and h?
279
Let h(c) = -c**2 - 12*c - 2. Let k = -28 + 31. Suppose 5*w + 45 = -k*z - 2*z, -26 = 4*w - z. Calculate the lowest common multiple of h(w) and 21.
231
Let x = 9 - 7. Let y(w) = 40*w + 790. What is the smallest common multiple of x and y(-18)?
70
Let g be (-1)/(-4) + (-57)/4. Suppose -53*q + 51*q + 2*k - 8 = 0, 0 = -3*q + 4*k - 22. What is the smallest common multiple of (-4)/(-14) - 38/g and q?
6
Let t = -56575774499/12510 + 4522444. Calculate the common denominator of t and -71/16.
100080
Suppose -2*w - 2*a + 1 + 127 = 0, 2*a + 2 = 0. Calculate the common denominator of 59/54 and 10/w + (-6)/(936/1610).
54
Let a(n) = 27*n + 67. Let o be a(-9). Let k = o - -209. Calculate the smallest common multiple of k and 11.
33
Let o = -35819/10 + 1952368/545. Find the common denominator of o and 70/6*(-15)/10.
218
Let v = -11659/5 - -2342. Suppose -5*d - 5*o = 1070, 2*d - o + 429 = -4*o. Let a = -251 - d. Find the common denominator of a and v.
5
Calculate the common denominator of (-1)/(-4) + (-29)/(-5) and (((-4425)/(-60) + -25)*2/5)/2.
20
Let n = 21346 - 640217/30. Let z be (8 + -409)*30/65. Let m = -32969/182 - z. Calculate the common denominator of n and m.
210
Let j be (-2 - 3) + 10 - 6293. Let m = 56536/9 + j. Calculate the common denominator of -95/6 and m.
18
Let z = -16191 - -437092/27. Calculate the common denominator of 41/216 and z.
216
Let n = -29158776365108377/182064 - -160156738102. Let v be -2 + (-1 - (-34135)/11379). Let w = n + v. Find the common denominator of w and 57/4.
16
Suppose -25 = v - 181. Suppose 32*y - v = 228. Calculate the lowest common multiple of y and 60.
60
Let l(j) = -j**2 + 8*j + 69. Let c be l(12). Suppose 30*r - 23*r = c. Let b(z) = -z + 2. Calculate the lowest common multiple of b(-7) and r.
9
Suppose 0 = -3*h - 47 - 22. What is the smallest common multiple of (h - 1)*7/(-4) and 112?
336
Let g = 92921/15 + -6200. What is the common denominator of 2/22*(-57)/(-15) and g?
165
Let w(o) = 5*o - 15. Suppose -90*p + 87*p + 2*h = -227, -298 = -4*p - 2*h. Calculate the least common multiple of w(5) and p.
150
Suppose 0 = -5*m + 8 + 7. Let r be 2 - m/(9/6). What is the lowest common multiple of 2 and 20 - (-2 + 6 + r)?
16
Calculate the common denominator of (6816/(-720))/(1 - (-33)/(-15)) and 2 - 458/60 - 10/(-15).
90
Let u(g) = -3*g**3 - 2*g**2 + g - 2. Let f be u(-2). Suppose f*c + 25 = 17*c. What is the common denominator of -67/4 and 38*1/(-30) + (-2)/c?
12
Let k(q) = -3*q**3 + q**2 - 27*q - 46. Calculate the lowest common multiple of k(-2) and 32.
288
Let m = 34870760329/3290850 - -22/182825. Let q = m - 10592. Find the common denominator of q and 560914/66708 + (-30)/85.
18
Let w be 50/(-7) - -7 - (-1202)/2240. Let r = w + -10487/1440. Let t = -277 + 1944/7. Find the common denominator of t and r.
63
Calculate the common denominator of ((-157)/20*(-2)/(-4))/(1395/(-124)) and -62/15.
450
Suppose 0 = -4*t - 22410 - 16278. Let q = -14176 - t. Let h = q + 53971/12. Calculate the common denominator of h and 105/22.
132
Suppose -154*o + 28583 + 33441 = -15592. Calculate the least common multiple of o and 728.
6552
Suppose 15 = 2*g + 3*g. Let t(v) = v**2 + 7*v + 10. Let m be t(-4). What is the common denominator of m + (-95)/(-70)*g and -47/18?
126
Suppose 2654 = 41*o - 3007 + 1233. Calculate the lowest common multiple of 2664 and o.
7992
Let k(h) = 1121*h + 7. What is the lowest common multiple of k(0) and 1454?
10178
Suppose -15*g - 10 = -40. Calculate the common denominator of -72/35 and 1/4 + (1156/336 - g).
210
Let d(p) = 12*p - 124. Let n be d(11). Suppose 5*x - 10 = -2*c, 0*c - n = -4*x - c. What is the least common multiple of x and 88?
88
Let z(b) = 6*b**2 + 21*b + 26. Calculate the lowest common multiple of 18 and z(-10).
3744
What is the common denominator of -321 - -318 - (0 + 21/11) and -45/44?
44
Suppose -16809 - 6447 = -102*b. Let u(m) = 22*m**2. What is the lowest common multiple of b and u(-1)?
2508
Let t = -1143910093/1899 + 602375. Calculate the common denominator of 4/211 and t.
1899
Let t(s) = 2*s**3 + 12*s**2 - 20*s - 20. Let h be t(-7). Find the common denominator of (-1)/4 + (-278)/264 and (-609)/126*(-4)/h.
33
What is the lowest common multiple of (-11 - -467 - 24/(-3)) + (-5 - -12) and 105?
16485
What is the lowest common multiple of 1/(-6) - 2135/(-210) and (0/3 - 49)*-2?
490
Let i be (-2)/(-15) - 4190/(-75). Let o be (-9)/(-2)*i/6. What is the common denominator of 8/9 and ((-212)/o)/((-80)/(-60))?
126
Suppose 9 + 3 = 4*u. Calculate the least common multiple of 57 - 1*(-21 - -34) and u.
132
Suppose 3598 - 4742 = -d. What is the lowest common multiple of 2288 and d?
2288
Suppose 2*g + 3*v = 168, 5*g - 327 = -4*v + 65. Calculate the smallest common multiple of 1134 and g.
4536
Calculate the common denominator of (-3)/(-7) - (-80946)/(-99792) and -49/12.
264
Let l = 2774 - 5674. Calculate the common denominator of -4 + 1 - 9810/l and -57/16.
2320
Suppose -5 = 5*w - p - 0, 4*w - 3*p = -15. Suppose 9*t + 50 - 230 = w. What is the lowest common multiple of 20 and t?
20
Let y be 0/(33/(-22)*4/6). Suppose b + 3*d + d - 20 = y, -4*d - 36 = -b. What is the least common multiple of b and 4?
28
Let o be 1185905/(-2483250) + 4/(-22). Let t = o + 5/258. Let i = -192038/25 - -7683. Find the common denominator of i and t.
25
Find the common denominator of (-1)/((-3 - -7) + 1512/(-438)) and -113/80.
80
Let c = -54 - -59. Suppose -c = -6*w - 17. Calculate the common denominator of 101/10 and (-5)/6 - (w - 32/(-12)).
10
What is the common denominator of 17/36 and 20/12*927/(-73748)?
6444
What is the common denominator of 91/10 and ((-1)/(-355))/((-312)/1950)?
1420
Let g be 1179390/26818 + (-8)/(-220)*-5. Let i = g + -1029/23. Let n = -14/23 - 1567/184. What is the common denominator of i and n?
424
Suppose 0 = -218*x + 215*x + 3. Find the common denominator of (85/(-204))/(x/(-44)) and -3/37.
111
Let n be (16 - 23)*(-170)/7. Let a be n/56 - 30/10. Let f = -2/7 + a. Find the common denominator of f and 32/9.
36
Suppose -124*f + 153720 = -19*f. What is the smallest common multiple of f and 216?
13176
Let y = 16 + 14. Suppose -4*v + v = -6. Calculate the least common multiple of (56/y - v) + (-484)/(-30) and 14.
112
Let n = 94103 + -12703837/135. Let o = 143700 - 12933137/90. Calculate the common denominator of o and n.
270
Calculate the common denominator of -8 - ((-1)/(-6))/((-205965)/9954009) and 91/10.
1990
Suppose -151*n = -705*n + 780032. What is the lowest common multiple of 3072 and n?
33792
Let d(w) be the third derivative of -12*w**2 + 0 + 1/60*w**5 - 1/6*w**4 + 0*w - 1/2*w**3. What is the lowest common multiple of d(6) and 21?
63
Let n = -1634263/112 - -29185/2. Let y = 341/8400 + n. What is the common denominator of -16/135 and y?
675
Let u = -352 - -210. Let k = -143 - u. What is the least common multiple of (-23)/k*2 - (-6 - -7) and 10?
90
Let f = 2017/11 + -103483/561. Calculate the common denominator of f and 32276/(-1248) - -25 - ((-84)/78)/7.
408
Let v be ((-2)/3)/((-37)/444). Find the common denominator of (24/v - 6) + (-1126)/(-400) and -133/12.
600
Let r = 14413 - 13202. What is the lowest common multiple of r and 14?
2422
Suppose 15*c - 10*c = 11*b - 11, 2*c - 2*b = 10. Calculate the smallest common multiple of 99 and c.
99
Let o = 6 - 4. Suppose 364 - 294 = o*m. Calculate the least common multiple of 20 and m.
140
What is the common denominator of (-2)/(-8)*(-15)/(-9) and ((-280)/(-55) - 5) + 5144/(-1408)?
48
Calculate the common denominator of 438/7665*((-118)/12 + 1) and 103/224.
3360
Suppose t - 3*t = -12. Let a be 