Suppose 18 = 5*b + 2*l, 2*b - j*l + l - 9 = 0. Calculate the common denominator of 37/16 + (-8)/b - -2 and 169/42.
336
Calculate the common denominator of -31/24 and (-28)/(-7)*-2 - (1 + (-27027)/2991).
23928
Let n(h) = h**3 + 18*h**2 - 13*h - 58. Let b be n(-20). Let m = b + 694. Let l(u) = -u**2 - 6*u - 4. Calculate the least common multiple of m and l(-4).
96
Suppose -3372 = 401*t - 407*t. Calculate the least common multiple of 1*(2 - -21) - 1 and t.
6182
What is the common denominator of ((-4)/33)/((100/570)/5) and -41/1565?
17215
Let r = -27/44663 - 795358407/491293. Let i = 425863/264 + r. Calculate the common denominator of 169/60 and i.
120
Let i = -55 + 67. Calculate the smallest common multiple of 114 and i.
228
Let h be (72/42)/((-3)/(714/44)). Let j = -1009/110 - h. What is the common denominator of j and 16/19?
190
Let x(h) = h**2 - h. What is the smallest common multiple of 8334/114 + 13 + 6/(-57) and x(3)?
258
Suppose 0 = -5*a - 63*h + 68*h + 135, 3*a - 33 = -5*h. Calculate the lowest common multiple of 1806 and a.
1806
Let t = 1983/18832 + -21/176. Calculate the common denominator of t and -97/124.
13268
What is the common denominator of (4438/2853 + (-13)/9)/((-11)/42) and -14/213?
2343
Let o = -1511191721/1674 - -902743. Find the common denominator of o and 12/31.
1674
Let u = -108287 + 6497399/60. Calculate the common denominator of u and ((-8)/300)/2*3.
300
Let g be ((-18)/(-3) + -12)*1/(-6). Calculate the least common multiple of 2/g - 4 - -26 and -2 - (-286)/8 - 165/220.
264
Suppose 24 = -2*k - 2*g, -4*k + 0*g = 2*g + 38. Find the common denominator of ((-3)/(-9))/(1/17) and k*((-60)/200)/(6/14).
30
Let h = -9571/90 + 956/9. What is the common denominator of h and 91/198?
990
Let z = 1004734 + -1060999259/1056. Calculate the common denominator of -81/112 and z.
7392
Let g = -181/2 + 2827/30. Let c = -12985564/183 - -70959. What is the common denominator of c and g?
915
Suppose 8 = i + 10, -p = 3*i - 151. Let d = p - 153. What is the least common multiple of d and 24?
24
Let k be (5 - 1)/(4 + (-150)/39). Suppose 2*u + 6 - k = 0. What is the least common multiple of u and 30?
30
Let c = 456141/38 - 12003. Calculate the common denominator of 303/54 + -3 - 1 and c.
342
Suppose -5*g + 54 = -3*g - 3*z, 5*z = 5*g - 140. Suppose 51 = m - 3*a, 0*m + 5*m = -2*a + 170. Calculate the lowest common multiple of g and m.
180
Let j = 485 - 268. Let z = j + -201. What is the smallest common multiple of 262 and z?
2096
Let b be -2*1*(-4)/5*-5. What is the smallest common multiple of 44 and (-1792)/b - (-4)/(-1)?
220
Calculate the lowest common multiple of 2262 and (284 - 282)/(2/12).
4524
Suppose -3*r + 27 = -15. Let w(a) = -a**3 - 14*a**2 + 15*a + 36. Let k be w(-15). Let m = -6 + k. Calculate the least common multiple of r and m.
210
Suppose 4*v - 71 = -5*b, 6*b - 57 = -3*v + 3*b. Let x(t) = -2*t**2 - 22*t + 514. What is the least common multiple of x(11) and v?
120
Let t = 214263 + -28068797/131. Let r = t + 27973/4716. Find the common denominator of 5/66 and r.
396
Suppose 4*d - 5*z = 3845 - 3730, d - 16 = -3*z. Suppose -3*u + 5 = -10. What is the lowest common multiple of d and u?
25
Let t(q) = -29*q**3 - 8*q**2 - 17*q - 8. Let h = -71 - -107. What is the least common multiple of h and t(-1)?
180
Let k(d) = 2*d**2 - 2*d - 3. What is the smallest common multiple of k(-2) and (5*-10*3)/((5 - 4)*-2)?
225
Find the common denominator of 39/434 and (-9)/12*28510/2790 - -8.
2604
Let y = -37798700/923 + 40952. Let l = y + -42981/92300. Calculate the common denominator of l and 83/50.
100
Let j = 8568/5 + -6014251/3510. Find the common denominator of j and -161/468.
1404
Suppose -4*x - x - 3*z - 17 = 0, -4*x + z = 17. Calculate the common denominator of ((164/(-9))/x)/(140/(-21)) and 23/18.
180
Let x(t) be the third derivative of -t**5/30 - 61*t**4/24 + 47*t**3/6 - t**2 - 2*t. What is the least common multiple of x(-31) and 22?
176
Let k = -977/4 - -242. What is the common denominator of (-545)/(-20)*(-32)/208 and k?
52
Suppose -7*i = -28*x + 32*x - 34845, -4*i + x = -19941. What is the lowest common multiple of 231 and i?
34881
Let q = 88 - 79. Suppose -10*w + q = -1. Find the common denominator of 7/6 and 102/40 + w + (-4 - -4).
60
Let x(c) = 13*c**2 - 53*c + 454. What is the least common multiple of 16 and x(11)?
5776
Find the common denominator of 123/238 and ((-122)/136)/(-2 - -4).
952
Let r = -6910 - -228071/33. Let y = 463 + -657. What is the common denominator of -6*y/(-8)*2/36 and r?
132
Suppose 0 = 3*r + 3, -3*r - 82 + 43 = -3*a. Let s(b) = -b + 19. What is the least common multiple of a and s(11)?
24
Let d be 620*120/(-14) + (-10)/(-35). Let z = 180657/34 + d. Let p = -96263/10 + 9634. What is the common denominator of z and p?
170
Let p = 3655195/66255252 - 227/4116. Let j = 16113157/3380370 - p. What is the common denominator of j and 56/33?
330
Let t(f) = 2*f - 9. Let v be t(6). Suppose -z + 34 = 5*x, v*z - 6*z + 7 = -4*x. What is the smallest common multiple of z and 2/(-9) + 1010/90?
99
Suppose 44*b = 45*b - 47. What is the lowest common multiple of -6 + (-420)/(-75) + 222/5 and b + -6 + (-1 - 0)?
440
Calculate the common denominator of (2 - (-7917)/2795) + (-4 - 1) and 53/258.
1290
Let z(y) = y**2 + 176*y - 2098. What is the least common multiple of z(12) and 92?
7268
Suppose -2*y = -3*y + 22. Suppose -5*b - y = -2*j, -b + 21 + 45 = 4*j. Find the common denominator of j/72 - 3052/(-360) and -25/2.
10
Suppose -3*g + 13 - 76 = 0. Let q = 33 + g. Suppose -8*u + 2*p - 156 = -406, -17 = -u + 5*p. Calculate the least common multiple of u and q.
96
Find the common denominator of -37/48 and 76/(-380) - 2/(-9120)*127.
912
What is the common denominator of 381/70 + (160/(-140))/8 and -13/1106?
5530
Let q(u) be the first derivative of u**4/4 + 4*u**3 + u**2/2 + 15*u + 30. Let t(z) = z**2 - 2*z + 1. What is the common denominator of t(-5) and q(-12)?
1
Let w = 22117 - 398209/18. Let o(d) = 2*d**2 - 4*d - 13. Let s be o(4). Calculate the common denominator of (3818/138)/((-16)/s) and w.
144
Let m = -8810665/4 + 70370421/32. Suppose 22*n - 768 = 78234. Let z = m + n. Calculate the common denominator of -26/3 and z.
96
Suppose -42*h + 12*h - 402 + 2292 = 0. What is the least common multiple of 399 and h?
1197
Suppose 13*l - 16 = 4*f + 15*l, -30 = 4*f - 5*l. Calculate the lowest common multiple of 12 and (10/f)/(8/(-12)).
12
Let o(k) = 6*k**2 + 125*k + 294. What is the least common multiple of 4 and o(-22)?
448
Calculate the lowest common multiple of (7 + 43)/(-25) - (-9 + 1) and 2.
6
Let k(d) = d**3 + 23*d**2 - 3*d + 23. Let i(p) = 5*p**2 + 10*p + 1. Calculate the lowest common multiple of i(-3) and k(-23).
368
Suppose 2*d + 4*r = 176, -3*d + 429*r + 255 = 432*r. Calculate the least common multiple of 262 and d.
10742
Let d be 4 + -1 + (-1 - -3 - 0). Suppose -15*w = -d*w - 180. Suppose -x = -4*s - w, -3*x - s + 4 = -11. Calculate the least common multiple of x and 12.
12
Let m be (-110 + 0)*(0 - -1). Let t = 161 + m. Suppose -19 + t = 8*f. What is the smallest common multiple of 23 and f?
92
Calculate the common denominator of ((-9728)/52480)/(36/(-10)) and -52/861.
2583
Let r(i) = -i**3 + 7. Let x be r(0). Suppose x = 3*y - 2. What is the smallest common multiple of (6/(-10) - (-154)/70 - (-2)/5) + 3 and y?
15
What is the common denominator of 5/(-55) + 795/4752 and 139/120?
720
Let p(g) = 9*g - 139. Let q be p(16). Suppose i + 7*a - 3*a = 89, -q*i - 3*a + 411 = 0. Calculate the lowest common multiple of 54 and i.
162
Suppose 0 = 4*b + 5*o - 7, -27*b - o + 19 = -24*b. What is the lowest common multiple of 22*-2*4/(-8) and b?
88
Suppose 2*v + 39 - 75 = -3*b, 0 = -5*v - b + 90. Suppose -3*z - 4 = 2, -4*a = z - 154. What is the smallest common multiple of a and v?
234
Let w = 27207 - 27203. Calculate the least common multiple of 91372 and w.
91372
Let j = -1121 + 6667/6. Let w be ((-1)/1945)/(60/641550). Let r = w - 1/389. Find the common denominator of r and j.
6
Suppose 44 = y + 7*a - 3*a, 3*y = -4*a + 92. Calculate the least common multiple of 3 and -4*6/y*-41.
123
Suppose 77*u - 100 + 23 = 0. What is the lowest common multiple of (4/(-2))/(9/(-225)) and u?
50
Let v = 17 - -8. Suppose v*c - 5 = 24*c. Suppose -r + 3*o = -c, 0 = -r + 3*r