t common multiple of 12 and u.
108
Let d be 26643/36 - 1/(-4). Let i = 721 - d. Calculate the common denominator of i and 2 - ((-36)/(-27) + 0/(-2)).
3
Suppose 222 + 933 = -5*r. What is the common denominator of 2 + -2 + 7 + 1946/r and (-188)/(-84) + 1/(-3)?
231
Let f = -1401917/36 + 38942. Let m = -1853 - -37163/20. Find the common denominator of m and f.
180
Suppose 0 = -h - 3*h + 60. Let k(s) = 5*s**2 + 27*s + 9. Let i be (4*3 + 0)*217/(-434). Calculate the lowest common multiple of h and k(i).
135
Find the common denominator of (2/4)/((-1014)/183) and (-642)/220 + 53 + (-10413)/195.
7436
Let x be 184/(-69)*(-546)/4. Suppose 11*j = 4*j + x. What is the lowest common multiple of 2 and (-6)/(-54) + j/18?
6
Let j = 38110 + -38094. Calculate the least common multiple of 360 and j.
720
Let p(j) = -9*j**2 - 55*j - 5. Let h be p(-5). Suppose -3*y + 371 = -1135. Find the common denominator of -57/16 and y/(-140) + 36/h.
112
Let b = -2532489409/56 - -45221622. Let y = -1404 - b. Find the common denominator of -81/64 and y.
448
Let f(y) = y**3 + 3*y**2 - 6*y + 22. Let o be f(-5). Suppose l - 9 = 2*j, 0 = -12*l + 15*l + o*j - 11. What is the smallest common multiple of 280 and l?
280
Suppose 2*i - 125 = -3*i + 5*w, 2*w - 30 = -2*i. Let z = -96 + 126. Calculate the least common multiple of i and z.
60
Let s(g) = -g**3 + 10*g**2 - 19*g + 195. Calculate the smallest common multiple of s(10) and 212.
1060
Suppose 0 = -2*j + 11*j - 54. What is the common denominator of ((-4)/j)/((-5)/190) and 107/42?
42
Let k be -5 + 2 + (-19876)/(-18018)*3061. Let f = k - 23615/7. Let m = 62/117 + f. Find the common denominator of -64/27 and m.
297
Let u(c) = 4*c + 30. Let w be u(17). Suppose 17*r - w = 10*r. Calculate the lowest common multiple of 1 and r.
14
Let g = 6675 + -280297/42. Find the common denominator of g and 67/210.
210
Let m(y) = y**2 - 2*y + 6. Let v(z) = 4*z**2 - 28*z + 26. Let h(d) = -6*m(d) + v(d). Suppose 4*j - 719 = 585. What is the lowest common multiple of h(-5) and j?
3260
Let x = -1170515/594 - -21654/11. Find the common denominator of x and (-118)/(-39) - (88/8 - 6).
702
Let v = 86491/15 + -5764. What is the common denominator of (-8)/(-18) - -6*4389/(-39690) and v?
105
Let a = 44502 - 44486. What is the lowest common multiple of 2 and a?
16
Let n = -5374 + 5409. Calculate the lowest common multiple of n and 365.
2555
Let g = -1189 + 835. What is the common denominator of -1*g/(-2640) - (-6)/(-15) and -33/2?
88
Let x be (-362)/(-10) - 5/25. Let r = -54 + x. What is the common denominator of 4/r + (-1 - (-1227)/54) and 35/4?
4
Let i(a) = 2*a + 19. Let v be i(27). Suppose v = 14*f - 235. Calculate the lowest common multiple of 12 and f.
132
Let s = -12560145 - -2976759008/237. Let q = s - -6/79. What is the common denominator of 51/106 and q?
318
Let z be (-1 - -1) + -8 - 118. Calculate the common denominator of -151/54 and (-56)/z*(-10)/(-48).
54
Suppose 0 = 6*g + 48. What is the common denominator of 345/40*g/(-6) and -55/2?
2
Let x(l) = -l**2 - 15*l - 35. Let a be x(-8). Let m be 1138/30*(-7)/(a/237). Let w = 2991 + m. Find the common denominator of -11/48 and w.
240
Let w be 99/(-132) + 7699/4. Let m = -38379/20 + w. Find the common denominator of 81/76 and m.
380
Let p = 1440 + -7171/5. Let d be ((-6)/(-3))/((-30)/107). Let r = p + d. What is the common denominator of r and -89/10?
30
What is the common denominator of (-5)/(-60) - (-12 - 35610/(-2808)) and -62/243?
3159
Let g = 267 - -140. Let f = g + -255. Calculate the lowest common multiple of 4 and f.
152
Let b = -8728 - -139591/16. Let l = -1326185/1683544 - -12/12379. Find the common denominator of b and l.
272
Let z(s) = 19*s - 6 - 18*s**2 + 35 - 6*s**2 + 15. Let j be z(22). Calculate the common denominator of -103/18 and j/308 + (-2)/7.
18
Suppose -156 = -19*g - 4. Suppose g*n = -8*n + 64. What is the least common multiple of 4 and n?
4
Let r(b) = b**2 + 5*b - 4. Let s(x) = x**3 + x**2 - 32*x - 38. What is the lowest common multiple of r(-8) and s(-5)?
220
Let p(o) = o**3 + 23*o**2 - 173*o + 2. What is the least common multiple of p(6) and 230?
920
Calculate the lowest common multiple of 1 and ((-6)/(5 - -1))/((-4)/124).
31
Let q(k) = -23*k + 105. Let o be q(-26). Let p = 711 - o. What is the lowest common multiple of 122 and p?
488
Let t be 0*((4 - 0) + -5). Let o(h) = -h**2 - h + 4. Let d be o(t). Suppose -3*k + 2*y + d = -5, -3*k - 2*y = 3. What is the lowest common multiple of 4 and k?
4
Find the common denominator of -77/270 and ((-254926)/10206 - -25)*(144/15)/4.
2430
Let r be (-162)/24 + (-2)/8. Let m(c) = -c**3 - 6*c**2 + 3*c. Suppose 169 - 745 = -48*x. Calculate the lowest common multiple of m(r) and x.
84
Let l(n) = -7 + 39*n**3 + 299*n**3 + 10*n**2 - 339*n**3 - 7*n. Suppose -b + 18 = b. What is the lowest common multiple of 13 and l(b)?
143
Suppose -6058 = -199*k + 12732 + 1110. What is the lowest common multiple of k and 20?
100
Let r = -253372839706 - -26215727606129213/103467. Let u = r + 1/9854. Let f = 564229/94914 - 1/5273. Calculate the common denominator of f and u.
126
Let s be ((-4)/(-4))/((33/(-42))/(-11)). Let z(b) = -b**3 + 13*b**2 + 15*b - 2. What is the lowest common multiple of z(s) and 44?
132
Let r = -182 + 196. Let v(l) = 6*l + 4. What is the smallest common multiple of v(r) and 28?
616
Calculate the common denominator of 29/6996 and 4*(-770)/1440*3.
6996
Let k = -5436 + 5628. Calculate the smallest common multiple of 192 and k.
192
Let f(z) = -z - 1. Let d(n) = 70*n + 496. Let m(u) = -d(u) - 6*f(u). What is the least common multiple of 209 and m(-8)?
418
Suppose 0 = 3*d + 481 - 535. Let r be -5*(3/5 - 1). Suppose -4*g + 50 = 2*b, 2*g + 56 = r*b - 0*g. What is the least common multiple of b and d?
54
Suppose 2*n + 48 = 4*n. Suppose 0 = 3*j + 4647 - 4641, -2*q + 3*j = -12. Calculate the least common multiple of n and q.
24
Let y = -53/76 - -121/3116. What is the common denominator of y and ((-5321)/(-119) - 45)*3?
287
Suppose 12*f - 49*f + 1665 = 0. Calculate the least common multiple of 20 and 2535/f - (-15)/9.
580
Let l = 591 + -586. Suppose 4 = l*h - 4*k, -40*h + 44*h = 4*k. Calculate the smallest common multiple of 28 and h.
28
Let w(v) = -v**2 + 12. Suppose -13 - 2 = -3*j. Suppose k = -t + 11, 5*k = j*t - 3 + 48. What is the lowest common multiple of w(-3) and k?
30
Let v(m) = 3*m**2 - 7*m + 4. Let k(i) = -2*i**2 + 49*i + 384. What is the lowest common multiple of k(30) and v(4)?
216
Let o(l) be the second derivative of 5*l**3/3 - 42*l**2 + 2026*l - 2. Let b be (-11)/(-1)*1 + -1. What is the smallest common multiple of 32 and o(b)?
32
Let b = 12386895/956 + -12957. Let d = -38703/4780 - b. Let m = 991943/4 - 3471749/14. What is the common denominator of d and m?
140
Suppose 4*b - 89 = -4*c + 431, 4*b = c + 535. Let l = -124 + b. Calculate the smallest common multiple of l and 6.
18
Let v = -2257/30 + 881/6. Let u = -3392/45 + v. What is the common denominator of 23/42 and u?
126
Let f = 338 + -3712/11. Let u = f - 27/110. Calculate the common denominator of u and 278/12 - (-3)/9.
10
Let s = -34612313/428 - -80870. Let j = 148455215/16644492 + -11888/4321. Let f = s + j. What is the common denominator of -34/3 and f?
18
Calculate the least common multiple of (-110)/(-20)*(-820)/(-451) and 17638.
88190
Let u = -15147451/300 + 50492. Find the common denominator of u and 169/180.
900
Let z = -5316614 - -302994256/57. Let u = 2783/3 + z. Find the common denominator of 44/171 and u.
171
Let v(i) = -i**3 - 60*i**2 - 330*i - 308. Calculate the smallest common multiple of 1056 and v(-54).
1056
Let r = 256786/33 + -7782. Calculate the common denominator of r and 293/(-1068) - 3/(-12).
5874
Let n(r) = -4*r - 15. Let c be n(-1). Let w = -1907/5 + 21232/55. What is the common denominator of w and (((-1)/(-8))/(c/1782))/2?
88
Let i(v) = -v**2 - 213*v - 1051. Find the common denominator of 31/159 and i(-5).
159
Let p = -7267 - -108961/15. Let g = 407332/1116645 + -1/13137. Calculate the common denominator of p and g.
255
Let d = -643801/36 + 17885. Let n = -390/71 - -10003/1136. What is the common denominator of n and d?
144
Calculate the common denominator of (-2)/(-10) + 1045/150 and ((-27)/(-135))/((-4)/385 + 0).
12
Suppose -5*f + 2*v + 0*v = -1470, 0 = 5*f 