b).
570
Suppose 0 = 91*d - 7*d + 96*d - 15120. What is the least common multiple of d and 93?
2604
Let u = -378 + 145. Let a = u - -305. Calculate the smallest common multiple of a and 12.
72
Suppose 5*s - 3*d = 5, 7*s - 4*d = 2*s + 5. Let n be 12/(-4) + -449 - 0/s. Find the common denominator of n/192 + (-5)/2 + 2 and 143/36.
144
Calculate the common denominator of ((-445)/(-1869))/((-16)/50) and -101/24.
168
Let m = 739 - 13283/18. Calculate the common denominator of (-1)/(-7) + 4/(3528/6391) and m.
18
Let q = -7145349113067/1561 - -4577417999. Let u = q + -1719/7. Calculate the common denominator of u and 45/7.
1561
Let x(m) = 346*m - 172. What is the lowest common multiple of 2781 and x(13)?
38934
Let j(i) = 5*i**2 + 50*i - 424. What is the smallest common multiple of j(-24) and 8?
1256
Suppose 42*p = 52*p + 60*p - 282240. What is the lowest common multiple of 63 and p?
4032
Let j = -42/12205 - -901821/317330. Let a = -46/13 + j. Find the common denominator of 101/6 and a.
30
Let r = 43 + 209. What is the least common multiple of 168 and r?
504
Let t(f) = f**2 + 2*f + 3. Let h be t(-2). Let w = 10579 - 10576. Suppose -3 = -h*z + 3*q, w*z - 2*q = 2*z. What is the smallest common multiple of 14 and z?
14
Let u = 1060/9 - 3139/27. What is the common denominator of u and -103/7476?
67284
Find the common denominator of 127/144 and ((-2)/4)/(4248/(-8201)).
144
Let c = 2806905/74 + -37930. Calculate the common denominator of c and -41/185.
370
Let c = -127 + 122. Let k be c/((-225)/(-18)) - (-14)/10. What is the common denominator of -2*k - 19/9 and 26/33?
99
Let b = 14708 - 294247/20. Let f = -285000571/236698 + -52/16907. Let h = f - -1205. Calculate the common denominator of h and b.
140
Suppose 4224 = 3*k + 5*i, k = -0*k + 3*i + 1408. Let y = k - 22469/16. Let d = 15871 - 349067/22. What is the common denominator of y and d?
176
Calculate the common denominator of 2303/189 - 14*1 and -13/1839.
16551
Let m(u) = 3*u**3 - 33*u**2 + 4*u - 40. Let k be m(11). Suppose 3*y + 24 = 2*b, k*b + 3*y + 29 = 41. Calculate the least common multiple of 8 and b.
24
Let a(j) = j**2 - 3*j - 5. Let o be (30/(-9))/((-2)/(-3)). What is the lowest common multiple of a(o) and 5?
35
Let q = 4/149771 - -19009557/425349640. What is the common denominator of -113/28 and q?
19880
Let v = -319562 + 99703495/312. Find the common denominator of 41/16 and v.
624
Let i be (-3)/(-12) + (-19)/(-4). Suppose 40 = i*u + j - 21, 52 = 4*u + 4*j. Suppose 30*t - 141 - 129 = 0. What is the smallest common multiple of t and u?
36
Let o be ((165610/(-6))/5)/(2/(-6)). Let x = 3130049/189 - o. Calculate the common denominator of 47/8 and x.
1512
Let m be 3/(-18) - 292765/66. Let g = -71063/16 - m. Find the common denominator of -25/14 and g.
112
Suppose 2*t + 0*r + 2*r - 44 = 0, -t = -3*r - 18. Calculate the lowest common multiple of t and (1/(-2)*-3)/(478/6692).
21
Let q(t) = -t**3 + 10*t**2 - t + 19. Let f be q(10). Suppose f*m - 2*m + 168 = 0. Let b = -20 - m. Calculate the least common multiple of b and 12.
12
Let i(d) = -35*d - 133. Let r be i(12). Let f = 561 + r. What is the lowest common multiple of f and 58?
232
Let r(m) = 10*m - 51 - 188 + 4 + 9*m. Calculate the least common multiple of r(13) and 30.
60
Let u(l) = -2*l + 53. Suppose -86 = 4*h - 94. What is the smallest common multiple of u(26) and h?
2
Let r = -16857/10 + 1684. Let t(s) = s + 4. Let d be t(-7). Find the common denominator of r and (-61)/5*d/(-3).
10
Let n(g) = -2*g + 4. Let h be (-1)/(3*3/(-18)). Let x be n(h). Let k(i) = -i**2 - 2*i + 18. What is the least common multiple of k(x) and 27?
54
Suppose -8*d + 580 = 116. Suppose h = -t + 25, 4*t - 2*h = d + 42. What is the lowest common multiple of t and 5?
25
Let g(x) = -x**3 + 64*x**2 - 976*x + 29. Suppose 6*n - 2*n - 272 = 0. Let j = n - 6. What is the smallest common multiple of j and g(25)?
124
Let v = 218 - 179. Suppose 84*m - 75*m - 216 = 0. Calculate the least common multiple of m and v.
312
Let j = 36 - 44. Let v be 6/(-4*4/j). Suppose v*n = 15 + 33. What is the smallest common multiple of n and 56?
112
Let k = 120273240344/19191 + -6267169. What is the common denominator of -62/3 and k?
19191
Let m = 20257/526 - 3/263. What is the common denominator of (-3)/((-27)/(-158))*6/8 and m?
6
Let d = -172 + 197. What is the smallest common multiple of 9 and 30/4*(115/d + 5)?
72
Suppose 3*w + 6 - 5 = -y, -2*w - 4*y + 6 = 0. Calculate the common denominator of ((-1834)/(-168))/(((-1)/(-2))/w) and ((-1379)/30)/(-7) - 1.
30
Let g = -15135338/3865 - -3916. Let w = 220694768912633/23190 + -9516807619. Let f = g + w. Calculate the common denominator of -43/12 and f.
12
Let i = -148289 - -7711693/52. Let h = -892/39 + i. Find the common denominator of h and ((-1281)/14 + (-129)/86)/(-54).
36
Suppose -23*t + 28*t - l - 433 = 0, 3*t + 3*l = 285. What is the least common multiple of 648 and t?
7128
Suppose 2*y - 99 = 171. What is the common denominator of 20/(-50) + 314/y and 47/33?
297
Let y = -3798533/5876 + 8403/13. Calculate the common denominator of y and 39/1243.
4972
Suppose 0 = -x - m - 2, m + 20 = -3*m. Calculate the common denominator of ((-2)/(-24))/(x/582) and 374/14688*16 + (-33)/(-27) + -1.
54
Let a(v) = -25*v**3 + v**2 - v. Let f be a(1). Let p be 274/(116/(-203)*7/(-10)). Find the common denominator of 137/18 and p/f*(21/(-18))/(-7).
90
Let o = 57 + -32. Suppose 3*a - o = -2*a. Let w(v) = -v + 8. Calculate the least common multiple of 24 and w(a).
24
Let f(j) = 3*j**2 - 4*j + 4. Let a be f(2). Let u be (3430/8)/1 - 2/a. Let b = 400 - u. Find the common denominator of b and 23/10.
10
Suppose i = -f + 10, 0*i - 52 = -4*i + 2*f. Suppose -4*s - 44 = 4*k - 0*s, -5*k - 2*s = 40. What is the lowest common multiple of ((-9)/k)/((-3)/(-16)) and i?
24
Let m = 80526427/2485 - 32405. Let x = m + 77027/9940. Let p = 7366 + -95813/13. Calculate the common denominator of p and x.
52
Find the common denominator of (-7)/((-392)/(-16)) - (-12150)/43330 and -60/77.
47663
Let u = 2689830 + -6950520821/2584. What is the common denominator of u and -91/48?
15504
Let f(m) = -87*m + 9. What is the smallest common multiple of f(0) and 390?
1170
Let t = -186 + 731/4. Let u = 127/12 + t. Find the common denominator of u and 41/30.
30
Let p(w) = 10 - 14 - 6*w + w**2 - 5*w + 40 - 4*w. Calculate the least common multiple of p(13) and (2/4 + 2)*4.
10
What is the least common multiple of (12/(-54))/(5/(-495)) and 130?
1430
What is the common denominator of 34/153 - 9/((-51840)/2950) and -20/397?
25408
Suppose -4*l + 7 = 2*d - 35, 3*l = 6. Suppose 11*m - d*m + 480 = 0. Suppose 4*v = 9*v - m. Calculate the smallest common multiple of 4 and v.
16
Let i = 3607232 + -28796425/8. Let g = 7668 - i. Find the common denominator of -21/40 and g.
40
Find the common denominator of 53/(-3)*456/24016 and -38/3.
474
What is the common denominator of (-13)/(-3) + -4 + (-3926)/4056 and 56/5?
260
Let p = 75728 - 9996193/132. Find the common denominator of p and -27/32.
1056
Let f = 719328597208518677/383724 + -1874598923205. Let c = 8/5643 + f. Calculate the common denominator of 19/8 and c.
136
Let n = -22447 - -493745/22. Find the common denominator of n and 37/3778.
41558
Suppose 2*h - 99 = 5*d + h, 103 = -5*d + 2*h. Let k = 24 + d. Let m(t) = -2*t**2 - 2*t + 71. What is the smallest common multiple of k and m(0)?
355
Let l = -4384349/140 - -31317. What is the common denominator of l and 109/28?
140
Let x = 56 + -44. Find the common denominator of ((-112)/(-18))/(5 - (-380)/x) and 11/7.
1155
Let g be -1*(((-20)/(-5) - 4) + 1). Calculate the least common multiple of (1593/118)/(g - 43/(-40)) and 6.
180
Suppose 0 = 22*x + 33*x - 408 - 32. Calculate the lowest common multiple of x and 205.
1640
Let g = 2971/280 - 123/14. Let p = -53/28 + 12/35. Find the common denominator of g and p.
40
What is the common denominator of 73/8 and 9633446/1067436 + 27/(-6)*2?
14328
Let z be (-2)/(-6) - 8284/12. Let s = 9397/270 + -1180/27. Find the common denominator of (2/(-4))/(30/z) and s.
10
Suppose -2*d = 0, -3*b - 2*d = -5*d - 372. Calculate the lowest common multiple of 16 and b.
496
Let i = 479 + -483. Calculate the common denominator of (-16)/i - (-224)/306*-6 and -24/119.
357
Let f = 11872 + -11593. Calculate the