or of b and 2/k + (2082/(-240) - -1)?
72
What is the common denominator of 0 + (-116)/32 + 1/6 and (-789)/(-60) - (-27)/(-3)?
120
Let a(i) = -i**3 + 9*i**2 + 20*i - 92. Suppose 470 = 30*j + 17*j. Let d = -10 - -15. What is the smallest common multiple of a(j) and d?
40
Let l(f) = 7*f - 1. Suppose -4411 + 1283 = -17*m. Let d = m + -176. Calculate the lowest common multiple of d and l(1).
24
Let a(j) = j + 8. Suppose 2*g + 5*b - 45 = 0, -5*b - 12 - 68 = -3*g. Calculate the least common multiple of g and a(0).
200
Let f = 37278283/708 + -210613/4. Calculate the common denominator of 187/3540 and f.
3540
Suppose g + 18 = 4*t, -4*t = 3*g + 2*g - 6. Suppose -14 = t*f - 34. Calculate the smallest common multiple of 2 and f.
10
Suppose 6*l + 186 = -a + 5*l, 2*a - 5*l + 351 = 0. What is the common denominator of (a/(-264))/(2/4) and 91/16?
176
Let t = -44865 + 6056734/135. Find the common denominator of (-6390)/120*(-7 + 3689/525) and t.
1350
Let o(u) = 2*u**2 - 26*u - 11. Let p be o(13). Find the common denominator of (22495/(-400))/p + 8/(-10) and 31/26.
208
Let m = 41 - 33. Let d = -145 + 256. Let x = d + -102. Calculate the smallest common multiple of x and m.
72
Suppose 3*p + 2*p - 35 = 0. Suppose -7*f + 1133 = 4*f. Let x = 114 - f. What is the lowest common multiple of x and p?
77
Let c be ((-21)/(-12))/(-3 - 522/(-327)). Let t = c - -13/68. Find the common denominator of t and 2/(2/(-6) - 1).
18
Suppose 3*g - 456 = u - 0*g, -3*u - 1344 = 3*g. What is the common denominator of (12/(-684))/((-4)/u) and -1/4?
76
What is the common denominator of (-9 + (2812/360 - 0))*(-6)/14 and 97/504?
2520
Let y(w) = -4*w**3 + 74*w + 156. What is the least common multiple of y(-2) and 1220?
2440
Let q(x) = -x**2 - 8*x + 25. Let n be q(-10). Calculate the common denominator of -25/48 and n + 314/24*2/(-9).
432
Let a(b) = b**3 - 54*b**2 + 300*b - 333. Suppose 7 = y - 3. Calculate the least common multiple of y and a(48).
2430
Let p = -53 + 72. Suppose -p = -4*c + 1. What is the smallest common multiple of c and 20?
20
Let y = -348 - -2110. What is the least common multiple of 22 and y?
19382
Let z(y) = -y + 11. Let p = 324 + -651. What is the smallest common multiple of z(7) and 72/192 - (p/24)/1?
28
Let s = 2095531/96 + -21830. Calculate the common denominator of 131/30 and s.
480
Let n = -4395 - -4423. Calculate the least common multiple of n and 5816.
40712
Suppose 25*z + 1542 + 4008 = 0. Let l = z - -5327/24. Calculate the common denominator of l and -13/111.
888
Let k = -3163268/11 + 287950. Let n = 895091/2354 - k. Find the common denominator of 69/2 and n.
214
Suppose 0 = 16*z + 25*z + 31*z - 432. Calculate the lowest common multiple of z and 876.
876
Let i = -165 + 289. Let k = -299 + i. Find the common denominator of (-4)/(-26) + k/(-1092)*-41 and -13/8.
24
Let i(r) = -r - 3. Let b be i(4). Let h = -5 - b. What is the least common multiple of h and ((-7192)/341 - -23)/(9/66)?
14
Let b be (-2)/(-3)*((-520652)/104137 + 5). Let c = b - 1069819/227208. What is the common denominator of c and -77/4?
24
What is the lowest common multiple of 26*(1060/260 + -4) and 12472?
12472
Let v = -104354 + 24627607/236. Find the common denominator of 57/100 and v.
5900
Let h = -23 + 29. Suppose 12*z = -z + 962. What is the smallest common multiple of h and z?
222
What is the common denominator of 3652/(-6096) + 98/21 + -4 and -143/12?
1524
Let q(p) = 3*p**3 + 8*p**2 - 38*p + 7. Calculate the least common multiple of q(-5) and 9136.
100496
Let x(u) = -16*u**3 - 43*u**2 - 30*u - 101. What is the least common multiple of x(-13) and 22?
309914
Let a be (3 + 4)*(20/35)/2*2. Let b = -1107 - -722. Find the common denominator of 63/2 and ((-2)/a)/(40/b).
16
Suppose 7*q = -36 + 106. Let f = 31 + -11. Let u = f + 4. What is the lowest common multiple of q and u?
120
Let s(b) = -6*b + 363. Let l be s(58). Suppose -l*r + 1035 = 8*r. Let k(f) = -f**2 - 8*f - 1. Calculate the smallest common multiple of k(-7) and r.
90
Suppose -43 - 301 = -4*x. Calculate the lowest common multiple of x and 18/2 - 70/(-10).
688
Let j = 93 - 101. Find the common denominator of (1/j)/(105/(-2436)) and 59/8.
40
Let v = -8/19723 - -2472479/17514024. Find the common denominator of -64/27 and v.
7992
Let a = -11/635 - -9801/1270. Suppose -132 - 113 = -5*y. What is the common denominator of a and (2 - y/12)*-9?
20
Let u = -2/609 - 31658/3045. Find the common denominator of 43/9097 and u.
45485
Suppose m - 5*x - 14 = -x, 5*m = -x + 70. Suppose d + 5*d - 330 = 0. Let q = -43 + d. What is the smallest common multiple of m and q?
84
Let s be 2/(-6)*7/(-21)*98811. Let c = -307375/28 + s. Find the common denominator of c and 79/4.
28
Suppose 2*a - 6 = 0, -17691 = 4*i + 5*a + 2430. Let f = 30115/6 + i. Find the common denominator of (13 - 3)*-1*(-1 - (-13)/12) and f.
6
Let m(l) = l**2 + 1. Let i(y) = -4*y**2 - 5*y - 11. Let p(c) = -i(c) - 3*m(c). Suppose 2*z - 133 - 31 = 0. What is the least common multiple of z and p(-4)?
164
Let b be (-4 - 1) + 27913/6. Let v = b + -4660. Find the common denominator of v and 145/78.
78
Let i(f) = -152*f**2 + 32984*f + 4. What is the lowest common multiple of 1/4 + (-1171)/(-4) and i(217)?
1172
Let w = 3291626 - 878865304/267. Let a = 14613/2492 + w. Calculate the common denominator of a and 29/12.
84
What is the lowest common multiple of ((-54036)/474)/((-1)/6) and 252?
4788
Let f be (-1978250)/(-852375)*29/16. Let x = f - -4/2273. Calculate the common denominator of x and -113/60.
120
Suppose -2*x - 8 = 0, 2*l - 2*x + 6*x + 34 = 0. Let w = -135/152 + 43/19. What is the common denominator of (-9968)/(-1440) + 2/l and w?
40
Let c = 438 - 489. Calculate the common denominator of 541/60 + c/85 and (-46)/(-8) + 2*1.
12
Let k(y) be the third derivative of y**6/20 - 7*y**5/30 + y**4/8 + y**3/6 - 7*y**2 - 2*y. Calculate the smallest common multiple of k(3) and 8.
184
Calculate the common denominator of 21 - 17 - 10/4 - (-5055)/(-2100) and 87/22.
1540
Suppose -4*m + 287401 = 3*q, -5*m = 2*q - 3*q + 95813. Let o = 8622121/90 - q. What is the common denominator of o and 53/75?
450
Let f be 145103/(-126) + (-2 - 1). Let o be (-41268)/36 + (-4)/6. Let v = f - o. Find the common denominator of v and -1/12.
36
Let b = 49259285/1141 - 43172. What is the common denominator of 119/10 and b?
11410
Suppose 15*y = 12*y + 12. Suppose -38 + 50 = y*v. Let t = -1 - -5. What is the least common multiple of t and v?
12
Let t = -213 - -299. What is the lowest common multiple of (356/6)/(t/387) and 15?
1335
Suppose 0 = -21*a + 27*a - 11604. Let x = 324/583 - 4550445/2332. Let z = a + x. What is the common denominator of 39/4 and z?
4
Let j(r) = 8*r**2 + 36*r + 16. Let k(n) = -23*n**2 - 107*n - 48. Let s(t) = 17*j(t) + 6*k(t). Calculate the least common multiple of 6 and s(-14).
12
Let k = -97 - -287/3. What is the common denominator of k and 5*2 + 8549/(-996)?
12
Suppose o + 3 = 5. Suppose -36 = -j - o*j. Suppose -29 = -3*q + 5*w, 4*w + j = -4. Calculate the least common multiple of q and 6.
6
Let x = 53 + -53. Suppose 0 = -w + 4, x*q = 3*q - 2*w + 128. What is the smallest common multiple of 13 and (q/(-14))/((-4)/(-14))?
130
Suppose 6*z + 6240 = -7*z. Find the common denominator of 789/390 + 2/(-2) and 0 - -5*198/z.
1040
What is the common denominator of ((-678)/220)/(3672/(-255)) and 47/60?
2640
Let j = 517 - 446. Suppose s + 2*s - 204 = 0. Suppose -j*p = -s*p - 18. What is the smallest common multiple of 7 and p?
42
Let x(i) = i**2 - 2*i + 24. Let m be x(6). Suppose z - m = 3*f, 3*z - 4*f = -5*f + 144. Find the common denominator of -16/9 and (-347)/70 - (-3 - z/(-20)).
126
Let p = 609929/5106 - 2738/23. What is the common denominator of p and -26*(-2)/10 - -2?
1110
Let s = -1/878 + -43897/2634. Let v = -20347 + 1790441/88. Find the common denominator of s and v.
264
Let z(x) = -433*x + 315. What is the lowest common multiple of z(-5) and 2728?
27280
Let q be ((6/(-4))/1)/((-9)/(-96)). Let g = 4 - q. Suppose -g*k + 5 = -19*k. Calculate the least common multiple of 2 and k.
10
Suppose 3*o = -t + 546, 5*o + 460*t - 930 = 455*t. What is the smallest common multiple of o and 1180?
10620
Calculate the common denominator of -3/13 and 9/(21060/(-17718)) + 8.
390
Let k be 28/(-2) + 3*(-4)/4. Let d be (-8744 - 3