.
4653
Suppose -117*t = -99*t - 270. Suppose 0 = -0*r + 5*r - 15. What is the lowest common multiple of r and t?
15
Suppose b = 11*b + 276960. Let v = b + 1827851/66. Calculate the common denominator of -95/6 and v.
66
Let s = -10 - -93. Let h = s - 77. Calculate the smallest common multiple of h and 10.
30
Find the common denominator of 47/840 and (-364)/637 + (-269)/(-504).
2520
Suppose 4*n - 3*p = 766, -5*p - 322 - 638 = -5*n. Suppose 530 + n = 3*j. What is the common denominator of 2/(-5) + ((-254)/j - 4) and -29/33?
264
Let l(x) = -2*x**3 + 43*x**2 + 129*x - 34. What is the smallest common multiple of l(24) and 208?
1456
Let s be 10/7 + -1 + (-917270)/(-252). Let j = s + -3634. Calculate the common denominator of -5/144 and j.
144
Let s = -47 - -52. Let f = -7 + s. Calculate the lowest common multiple of 21 and ((-20)/5)/(f/6).
84
Calculate the smallest common multiple of 210 and 71 + -1 + 4 + (-29 - -27).
2520
Let x = 1909/273 + -94/13. What is the common denominator of 53/58 and x?
1218
Let w(s) be the first derivative of -s**4/4 - 4*s**3 - 3*s**2/2 + 12*s + 51. Calculate the smallest common multiple of w(-12) and 20.
240
Let q(b) be the third derivative of 2*b**5/15 - b**4/24 + b**3/6 - 18*b**2. Let x be q(1). Find the common denominator of -97/34 and 10/((x/(-190))/(4/(-140))).
238
Calculate the common denominator of 101940/260064 - (-3)/(-8) and -93/2.
5418
Let j = -1718 - -25862/15. What is the common denominator of j and -89/270?
270
Let c = -224 - -407. Let o = -83 - c. What is the smallest common multiple of 9 and 2/(-11) - o/11?
72
Let f = -81 - -89. Suppose -32 = -4*j - 4*c, -f*j = -3*j + 4*c - 40. Find the common denominator of 28/5 and (-426)/(-40) + -2 - (-2)/j.
10
Find the common denominator of -25/54 and (-2*1/(-696))/(1149/(-117964)).
1566
Suppose 3169*w - 3141*w - 24472 = 0. What is the least common multiple of 38 and w?
874
Suppose -51*l + 56*l + 315 = 4*a, -2*a + 2*l = -160. What is the common denominator of 56/57 and ((-4994)/3344 - 6/(-4))*a?
456
Let q = 8443 - 7714. What is the smallest common multiple of 567 and q?
5103
Let r(d) = -d**3 - d**2 - d + 1. Let i(o) = -7*o**3 + 10*o**2 - 19*o - 13. Let a(z) = i(z) - 6*r(z). Calculate the least common multiple of a(15) and 13.
143
Let w = -1315189/651294 + 10/12061. Calculate the common denominator of w and -55/4911.
88398
Let r be (-2 + 4 - -12) + (-20)/(-5). Suppose 2*w = -4, 4*w - 7 = u - r. Calculate the smallest common multiple of u and 587.
1761
Suppose 7*n - 375 = 2*n. What is the lowest common multiple of (-6)/(-15) - (-5)/(n/594) and 50?
200
Let i = 657218/33 + -19918. Let t be (-12)/(-30) - (-12668)/30. Let p = t - 414. Calculate the common denominator of i and p.
33
Let h be 9 + (-4)/(7 + -6). Suppose -h*b + 7*b = 34. What is the least common multiple of b and 10?
170
What is the common denominator of (1675/310 + -6)/(-3*35/42) and 42/65?
2015
Let h = -18410/675063 + -10/701. Calculate the common denominator of 107/10 and h.
9630
Calculate the smallest common multiple of 3/12 - (23166/24)/(-27) and 162.
324
Suppose 0 = 4*m - 120*r + 122*r - 14, -r = -2*m + 17. Calculate the lowest common multiple of 5424 and m.
5424
Let x = -519 + 480. What is the smallest common multiple of -10*18/4*52/x and 12?
60
Let z = 35 + -41. Let w(c) = -c**2 - 5*c + 4. Let x be w(z). Calculate the least common multiple of 14 and 10 - (-4 + 0 - x).
84
Let k = -89230585/31922 + -3115/4353. Let u be (-2 - (-230)/30)/((-2)/(-986)). Let r = u + k. What is the common denominator of -79/8 and r?
88
Let o(r) = 9*r - 15. Let f(a) = 10*a - 14. Let s(l) = -6*f(l) + 7*o(l). Calculate the lowest common multiple of s(11) and 8.
24
Let p(g) = g**2 + 2*g + 12. Calculate the lowest common multiple of p(-12) and -7 - (13 - ((3 - -48) + -7)).
264
Suppose 2*d + 4*m = 58, -4*d + m + 74 = -24. Let k = 60 - d. Let s(b) = b**3 - 24*b**2 - 2*b + 56. What is the least common multiple of k and s(24)?
280
Calculate the common denominator of 6/(-8) - (-194)/(-24) and (-766)/(-112) + 12/42.
24
Let x(d) = 9*d**2 + 58*d. Calculate the smallest common multiple of 12 and x(2).
456
Suppose -4*d = -3*s - s + 232, s = 2*d + 56. Calculate the lowest common multiple of s and 6 + -1*128/(-22) + 820/4510.
60
Suppose 5*j = -5*d + 5, 4*d - 3*d + 2 = -2*j. Suppose d*a - 70 + 94 = 0. What is the least common multiple of 11 and (87/a)/((-10)/20)?
319
Let f = -78408/5 - -5175503/330. Find the common denominator of f and -37/5.
330
Suppose -4*k - 8*c = -4*c + 24, c + 18 = -5*k. Calculate the common denominator of -34/27 and k*8/18*(-185)/(-160).
216
Suppose -m = -0*m - 4, 5*f + m - 104 = 0. Let y = 73 + -67. Suppose -y*p = -p - 100. What is the least common multiple of p and f?
20
Let p = -87 - -127. Suppose -5*q = 2*z - 108 - 118, 4*z = -4*q + 188. Calculate the lowest common multiple of q and p.
440
Calculate the common denominator of 129/43*((-85)/624 + 2/8) and -55/1352.
2704
Calculate the least common multiple of (-6)/(-21) - (-2 + 1 + (-1355)/35) and 504.
2520
Let h = -49 - -53. Suppose -22 = -h*p - 14. Find the common denominator of 2/72*-274 + 2 + p and 82/21.
126
Let n be (12/99)/((-536)/(-12) - -1). Let v = 5194/4521 + n. What is the common denominator of v and 29/12?
132
Calculate the common denominator of 1/297 and (-1 - (-1348)/1350)/(34/(-4165)).
2970
Let y be 4/6*(-21)/14. What is the common denominator of (-382)/(-24) + y/(-4) and (42/168)/(1/(-19))?
12
Suppose 5*x - 47615 = 5*b, 0*b + 38065 = 4*x + 5*b. Suppose -76*m = -72*m - x. What is the common denominator of 9/(-15) + (-1617)/m and -3/10?
340
Find the common denominator of (-2)/1 + 258/72 - -1 and (8542/462 - 19)/(32/(-3) - 0).
3696
Let q(s) = -2*s + 1. Let x be q(-3). Let g(i) = -x*i**2 - 2*i + i**2 - 4*i - 2*i**3 - 2 - 5*i**2. Calculate the lowest common multiple of g(-5) and 12.
12
Let g(r) = 40*r**2 + 11*r + 42. Let z be g(-4). Suppose -522 = z*u - 641*u. Calculate the least common multiple of u and 4.
348
Let m = -94 + -60. Let g = 156 + m. Let n = 1 - -2. Calculate the smallest common multiple of n and g.
6
Let u = 1729 - 8679/5. Let t be (11 - 10) + 421432/(-390). Let a = -5404/5 - t. Find the common denominator of u and a.
195
Let m = -273981 - -753447759/2750. Calculate the common denominator of 93/4 and m.
5500
Let h = 3986399/10828440 + -11/38673. What is the common denominator of h and 23/1232?
6160
Find the common denominator of 10 + (-28717)/2730 - (-2)/7 and 7/474.
2370
Calculate the common denominator of -1 + 1*(-339)/(-240) and 4/14 + 5*(-351)/36400.
80
What is the lowest common multiple of (55431/(-18))/((-3)/4) + -2 and 2?
4104
Calculate the common denominator of -71/280 and (-12)/28 + (-172263)/(-254800).
2800
Suppose -39*p + 11480 = p. Calculate the least common multiple of 984 and p.
6888
Let n = -121/1293 - -368342/3590661. What is the common denominator of 57/4 and n?
11108
Let d = -4590 - -151528/33. Let q = -101 - -1. Find the common denominator of (4/33)/2*q/(-8) and d.
33
Let y = -49 - -54. Let x be 42/y + ((-12)/5 - -2). Calculate the least common multiple of (-231)/(-15) - 0 - x/20 and 24.
120
Suppose 2*w + 14224 = 5*o + 1859, -2*w + 3*o - 12355 = 0. Let q = w - -203668/33. Calculate the common denominator of 83/33 and q.
33
Let z = -175/2 + 85. Let k be (-64737)/(-72) - (-2 + 1). Let m = -896 + k. Find the common denominator of z and m.
8
Suppose 254*h = 273*h - 2223. Calculate the least common multiple of h and 13.
117
Let l = 1681/15 + -1754/15. Find the common denominator of 101/8 and l.
120
What is the lowest common multiple of -2*(-1)/1 - (-253 + 3 - -8) and 2623?
10492
Let z be 133 + 0 + 2/2. Let c = 810545/6 - 135105. What is the common denominator of (-4)/(-18) + z/(-144) and c?
24
Let p = -1514612 + 3438169339/2270. Find the common denominator of p and 71/6.
6810
Let z = -92/83 - 4991/664. Let u = -236 - -358. Let g = -253/2 + u. What is the common denominator of z and g?
8
Let m be (0/(-26))/((-10)/(-2)). Suppose m = 77*c - 82*c + 2*g + 40, -5*c - 5*g + 75 = 0. Calculate the smallest common multiple of c and 18.
90
Let l = -698/13 + 3317/78. What is the common denominator of l and 87/1114?
3342
Let r be 0 - ((-4*3)/(-4))/(-1). Calculate the common denominator of (r/(-60))/(44/(-110)) and 69/344.
344
Suppose -27*m +