
15
Let y(q) = 2*q**2 - 15*q + 45. Let m be y(5). Suppose m*d - 40*d = -360. Let z(i) = i**2 - 5*i + 3. Calculate the smallest common multiple of d and z(5).
18
Let a = 102 - 50. Let g = 330 - 326. Calculate the lowest common multiple of a and g.
52
Let p be 5/5 - -41 - 4. Let r = 42 - p. Suppose r*v - 5*v + 2*h = -39, 5*v = -4*h + 195. What is the smallest common multiple of v and 33?
429
Let p = -209 + 223. Suppose 6*h = 16 + p. Calculate the least common multiple of h and 1.
5
Let u = 65 - 33. What is the smallest common multiple of 464 and u?
928
Let s = -25772 - -772993/30. Let o(v) = v**2 - 10*v - 44. Let g be o(10). Calculate the common denominator of s and 332/(-42) - (g - -40).
210
Let c be (22/14)/((-90)/2135781). Let s = -37290 - c. What is the common denominator of s and -13/15?
210
Let o(i) = 17*i**3 - 2*i**2 + 76*i - 154. What is the lowest common multiple of o(2) and 232?
14616
Let k = 423/28 - 125/7. Calculate the common denominator of k and 27/16.
16
Let h be 2/(-6) - 52/6. What is the common denominator of ((-357)/85)/(174/(-70)) and (0 + 0 - 16)/h?
261
Let f(p) = -4*p**2 - 8*p - 13. Let w be f(-3). Suppose 2*n + 4*n = 522. Let j = w + n. What is the smallest common multiple of j and 6?
186
Let p(h) = 915*h**2 - 444*h - 21. Calculate the least common multiple of p(3) and 6.
6882
What is the common denominator of (-239)/(-26290)*15/6 and -1/517?
2068
Let v be (-8)/(-88) - (-6829345)/2475. Let g = v - 2759. Calculate the common denominator of -121/18 and g.
90
Let u(p) = 4*p**2 + 16*p + 66. Let n be u(-5). Calculate the common denominator of (-18)/(-225)*1*(-1 + n) and -11/40.
40
Calculate the least common multiple of 1336 and (20 + 504/(-27))/((-1)/(-9)).
4008
Let j = 316 - 476. Let x = 27745/9656 - -2/1207. Calculate the common denominator of 1100/j + 2/(-16) and x.
8
Let r = 5943245/108 + -55029. Let n = 135307/949336 - 61/424. Let b = 158999/22390 + n. Find the common denominator of b and r.
540
Let j = -4372087/55227714 - -6/67187. Find the common denominator of j and -23/7.
5754
Let k(j) = -20*j - 30. Let g be k(3). What is the common denominator of 19/24 and (-4 + 170 - 1)*(-10)/g?
24
What is the common denominator of -85/264 and 7215/5434 + (12/72)/((-3)/24)?
5016
Let j be (5318 + -4)/((-13752)/22). Let z = 2/1719 + j. What is the common denominator of z and -43/2?
2
Let k be -6408 + 6/(10 + -4). Let c = -128217/20 - k. Find the common denominator of c and -143/30.
60
Let y = 21659 - 21918909/1012. Find the common denominator of y and 13/24.
6072
Let n = 138 + -158. Let d be (n/3)/5*-78. Suppose -102*o + d*o - 24 = 0. What is the least common multiple of o and 242?
1452
Let f = -53383/6 + 8877. Calculate the common denominator of f and -61/7062.
7062
Find the common denominator of (-76)/(-9) - (1/3)/(5/15) and -2/1567.
14103
Suppose 2*k + 2*w = 890, 5*k - 1300 - 905 = 5*w. Calculate the smallest common multiple of 7 and k.
3101
Let a = -371 - -373. Suppose -y + 1 = 0, 0*q - a*q - 4*y = -390. What is the lowest common multiple of 7 and q?
1351
Let c be (3 - 6 - -1)/1 - -2. Suppose c = -2*x + 122 - 108. Let s = 11 + -7. Calculate the least common multiple of s and x.
28
Let k = -3/1427 + 21444/18551. Calculate the common denominator of -17/65 and k.
65
Let q(n) = -17 + 57*n + 36 - 64*n - 22. Let h be 1/(-1) - (1 - -1). Calculate the least common multiple of q(h) and 22.
198
Let o be 5*4/40 - 13002/26020. Let k = 13793/7806 - o. Calculate the common denominator of k and -31/78.
390
What is the common denominator of 11/36 and (5032/4736)/(501/(-14))?
12024
Suppose 5*o + 475 + 80 = 3*z, -412 = 4*o + 4*z. What is the lowest common multiple of 3/12 + o/(-16) and 2*-10*20/(-16)?
175
Let k(i) = -2*i + 76. Let g be k(41). Let z(c) = 2*c**2 + 13*c + 8. What is the smallest common multiple of z(g) and 85?
170
Let d(n) = n**3 + 14*n**2 - 29*n + 60. Let t be d(-16). Find the common denominator of 95/72 and 94/(-16)*t/(-81).
216
Let r(b) = -3*b - 1. Suppose -2*d + 5*u + 90 = 0, -2*d = 4*u - 131 + 41. Calculate the smallest common multiple of r(-12) and d.
315
Suppose -14*d + 20*d = 2004. Calculate the common denominator of 16/(-12) + d/60 and -32/135.
270
What is the common denominator of ((-28)/(-140))/((-1)/3) - (-7928)/11880 and 131/54?
594
Let l = -280021/96 + 8750/3. What is the common denominator of 87/412 and l?
3296
Suppose -4*q - 2 = 4*o - 26, -4*o - 26 = -q. Let s be 4/q + (-115317)/30. Let a = 30843/8 + s. What is the common denominator of a and 49/10?
40
Let d(z) = -z**2 + 19*z + 11. Let h be d(15). Suppose 58 = i - 3. Let s = h - i. What is the smallest common multiple of s and 18?
90
What is the common denominator of 6 - ((-15345)/(-66))/31 and -1 - (285/2)/(-3)?
2
Calculate the common denominator of -139/96 and 764/(-576) - 32/(-24).
288
Let p = -247024 - -5436113/22. Let f = p - 72. Calculate the common denominator of -67/40 and f.
440
Let b = 1296 - 386. What is the lowest common multiple of 819 and b?
8190
Suppose 2*k = 2*a - 10, 0*a = -2*a + k + 6. Let g = -225023/32 + 7034. Calculate the common denominator of g and a/3 + (-1000)/1056.
352
Let y = -25/54 + 1/216. Find the common denominator of y and 31/144.
144
Suppose 67*z - 132 = 34*z. Suppose 2*g + 84 = 2*r, 0 = -5*r - 2*g + 94 + 130. What is the lowest common multiple of z and r?
44
What is the common denominator of 49/(-35) - (-36)/190 and (-4 + 32/16)/((-86)/47)?
817
Suppose -2*d = -4*u + 16, 0 = -6*u + 2*u. Calculate the smallest common multiple of 3 - 1 - 1*-12 and (24/d)/((-15)/10).
14
Let b(j) = -17*j + 275. Let t = 330 - 314. Calculate the least common multiple of b(t) and (3 - -2)*12/10.
6
Calculate the lowest common multiple of 80/60 - 2 - (-26)/3 and 5782.
23128
Find the common denominator of 29/380 and 27014/4940 + -15 - -10*1.
380
Let y(p) = -18*p**2 - 3*p + 5. Let o be y(-3). Calculate the common denominator of -77/8 and ((-1)/(-564))/(2/o).
1128
What is the common denominator of (297/2079)/(24/(-791)) and 23/7179?
57432
Let u(y) = -4*y**2 - 11*y - 35. Let o be u(-5). Let s be -6*(o/15)/8. Suppose 11 = 7*r + s. What is the lowest common multiple of 15 and r?
15
What is the common denominator of (1023/88)/(-5 + 546/12) and (410/(-44) - -1) + -100 + 105?
1188
Suppose 0 = 6*s - 49 + 7. Suppose 0 = 31*y - 36*y + 100. Calculate the smallest common multiple of s and y.
140
Let z = -3794 - -3903. Let a(u) = -3*u**2 + 24*u + 9. Calculate the least common multiple of z and a(8).
981
Let z = 2224 - 2191. What is the least common multiple of z and 18?
198
Let v = -5501/480 - -547/32. Suppose 0 = 9*p + 17 - 107. Find the common denominator of v and (p/(-25))/((-56)/130) + -3.
210
What is the common denominator of -3 + 1 + 113/63 and (-3)/54*9374/(-763)?
63
Find the common denominator of (-128)/704 - 64/11 - (-154)/(-33) and 3/1651.
4953
Let d = -407886/715 + 6264/11. Calculate the common denominator of -139/280 and d.
3640
Let k = -12575 + 4665333/371. Find the common denominator of k and -51/35.
1855
Let h = -402655 + 25368481/63. Let n = h - 125/7. What is the common denominator of n and 23/501?
1503
Let r be (-23)/((-138)/216) + -5. Calculate the least common multiple of ((-279)/r)/(0 + -1) and 299.
2691
Let r(t) = -t**3 - 7*t**2 - 2*t - 6. Let v be r(-7). Suppose 3*c + c = v. Let l = 212 - 198. Calculate the least common multiple of c and l.
14
Let p = -30907699/357 - -86576. Find the common denominator of -145/3876 and p.
27132
Let r = 290 + -136. Let w = 10/799 + -96859/14382. Find the common denominator of ((-30)/(-35))/((-80)/r) and w.
180
Let t(b) = -2*b**3 + 5*b**3 + 2 - 5*b**3 + 2*b - b**2 + 6*b**2. Calculate the least common multiple of 14 and t(-2).
238
Let h(q) be the third derivative of q**5/20 + 5*q**4/24 + 2*q**3/3 - 5*q**2. Suppose 19 = 15*t - 11. What is the smallest common multiple of h(-4) and t?
32
Let f(n) = 10*n**3 - 176*n**2 - 67*n - 14. Calculate the smallest common multiple of f(18) and 524.
9956
Let d = -600 - -600. Suppose 2*k - 3*f - 113 = d, 0 = k - 3*f - 32 - 26. Calculate the lowest common multiple of 85 and k.
935
Let g = 43/24 + -47/56. Find the common denominator of g and -4 + 32/4 - 3045/441.
21
Let v = 254 - 545. Let k = -272 - v. What is the least common multiple of k and 209?
209
Calculate the smallest common multipl