and s.
204
Let m = -341603/28 - -12201. What is the common denominator of m and -37/3272?
22904
Let b = 120 + -114. Calculate the common denominator of -21/20 and ((-6666)/(-5104))/(b/8).
580
Let u(g) = 626*g - 3328. What is the smallest common multiple of 27 and u(8)?
15120
Let w = -200 - -449. Let l = w + -145. Calculate the least common multiple of l and 78.
312
Let d be (-55908622)/4200 + (-3)/12. Let o = d + 13311. What is the common denominator of o and -49/15?
75
Let r = 13/6276 - -302441/2453916. Calculate the common denominator of r and -55/322.
5474
Let g = -10184 - -560152/55. Find the common denominator of -16/225 and g.
2475
Let s(o) be the third derivative of 1/60*o**5 + 0*o - 5/24*o**4 + 11/6*o**3 - 40*o**2 + 0. What is the smallest common multiple of 18 and s(3)?
90
Let d = -9 - -1. Let k(i) be the third derivative of i**6/120 + i**5/10 - 2*i**4/3 + i**3 + 4*i**2 - 15. What is the least common multiple of k(d) and 2?
6
Let s = 4600156 - 13055242573/2838. Calculate the common denominator of s and -53/16.
22704
Suppose -3240*y - r = -3245*y + 3494, 0 = 4*y - 4*r - 2776. Calculate the smallest common multiple of y and 140.
700
What is the common denominator of 37/30*(-135)/105 and -43/28?
140
Suppose 59*q - 17820 = 49*q. What is the least common multiple of 162 and q?
1782
Let g = -11363/12968 - -2/1621. Suppose 4*m - 39 = -3*f, 17*f - 54 = -4*m + 19*f. Calculate the common denominator of (-106*(-14)/21)/m and g.
72
Calculate the common denominator of (2/140)/((-372)/(-6727)) and -25/48.
240
Suppose 3*w + 3*g + 2592 = 201, 0 = 4*w + 5*g + 3186. Let v = w + 805. Calculate the least common multiple of 20 and v.
60
Calculate the smallest common multiple of (-938)/42 + 22 - (2 - 32/6) and 539.
1617
Suppose 5*q + 2*n + 207 = 0, -q = -5*q - 3*n - 167. Let t = 3 - q. What is the smallest common multiple of t and 20?
220
Suppose v = -2*v + 18. Suppose -v*r - 4*r = -90. Suppose -6*f = -r*f + 66. Calculate the smallest common multiple of f and 68.
748
Suppose 4*f + 2*v = -133 + 13, -5*v = -3*f - 90. Let i = f - -37. What is the least common multiple of i and 15?
105
Suppose -194*o = 97214 - 459994. What is the least common multiple of 77 and o?
13090
Let y be (-3881063)/752892 - ((-128)/24 + 4). Let j = 1/8963 + y. What is the common denominator of -25/22 and j?
308
Let m(f) = 12*f**2 - 73*f + 5. Let u be m(6). Calculate the common denominator of (-418)/(-60) + (u - 2) + 2 and 59/135.
270
Let p = 629573/24 - 26226. Find the common denominator of p and (1365/(-24))/5*-8*(-10)/360.
72
Let b = 6268 + -6244. What is the smallest common multiple of b and 526?
6312
Let q(c) = c**3 + 22*c**2 + 114*c + 11. Calculate the lowest common multiple of 90 and q(-13).
450
Let x = -374 + 395. Suppose 31*t = x*t + 200. Suppose -n = -4*w + 11 + 1, 4*n - 37 = -w. Calculate the least common multiple of t and n.
40
Suppose -7 = -4*p + o, 0 = -p - 0*o + 2*o. Suppose 0 = u - p - 3, 3*x - 3*u = -177. Let t = x + 57. Calculate the smallest common multiple of t and 15.
15
Let n be 25/3 + (-50)/(-75). What is the common denominator of 2/(-20)*(-498)/n and (4/48)/(2/(-116))?
30
Suppose -5*i - 2 = 2*m, -2*m + m = i - 2. Suppose -37*x + 39*x + 12 = 0. Let q(n) = -n**3 - 7*n**2 - 5*n + 7. What is the lowest common multiple of m and q(x)?
4
Let h(i) = 4677*i**2 - 867*i + 1736. Calculate the least common multiple of 16 and h(2).
149680
Let f(p) = p**3 - 6*p**2 - 12. Let r be f(8). Suppose r = 12*v - 28. Suppose -v*g + 30 = 3*g. What is the least common multiple of 4 and g?
4
Suppose -3*q - 48*a = -51*a - 711, -a = 1. What is the least common multiple of q and 236?
236
Let f = 451 + -123. Calculate the smallest common multiple of f and 287.
2296
Suppose 3*h + 4*q - 4401 = 0, 8*h - 5*q = 4*h + 5837. Calculate the lowest common multiple of 1197 and h.
13167
Let g = 4354 + -3906. What is the least common multiple of 896 and g?
896
Let q = 9499/11 + -4121807/4774. Calculate the common denominator of q and 63/124.
868
Suppose 0 = -5*m + 3*i + 243, 53*i = -4*m + 49*i + 220. Suppose 9*s + 12 = 12*s, 0 = 3*c - 3*s - 42. What is the lowest common multiple of m and c?
306
Calculate the least common multiple of (-7 - -2) + ((-44474)/(-740) - (-2)/(-20)) and 1683.
8415
Let l(d) = 9*d**3 + 2*d - 1. Let g be l(1). Suppose 6*r + 22 - g = 0. What is the least common multiple of (r/6)/((-5)/90) and 44?
132
Suppose 2*b - b = 3*m - 11, -5*m + 15 = -5*b. What is the least common multiple of 23 - 5/(-5)*b and 36?
72
Let i = 3856 - 3828. Calculate the lowest common multiple of 112 and i.
112
Let y = -3293 + 19769/6. Find the common denominator of y and -68/213.
426
Suppose 13*h = 4*h - 9. Let x = h - 26. Let t = x + 29. Calculate the lowest common multiple of t and 4.
4
Let c(z) = -z**3 + 10*z**2 - 25*z + 22. Calculate the smallest common multiple of 3204 and c(6).
12816
Let m = 3485 + -27839/8. Let s = 20/1473 - 58558/4385121. Let i = -383989/196482 - s. Find the common denominator of i and m.
88
Suppose -5*a + 3*k + 1551 = 0, -187 - 441 = -2*a + 5*k. Let l = a + -197. Suppose 124 = 4*f + l. Calculate the smallest common multiple of f and 7.
21
Suppose 6*t - 4*p = t - 404, -4*t - 2*p = 318. Calculate the common denominator of 18/(-12) - 183/t and 59/40.
80
What is the common denominator of 25/9 and -5 + 14/40*(-5864)/(-396)?
990
Let p = 22/343 + 1203/343. Calculate the common denominator of p and -15/56.
56
Let h = -30/59 + 2159/649. Suppose 0 = -5*p + 24888 + 6832. Let k = p + -63371/10. What is the common denominator of h and k?
110
What is the common denominator of 61/45 and ((-165)/22)/(-5)*(-158)/1350?
450
What is the smallest common multiple of 389 and ((-20)/25)/(-2) + (33/5 - -6)?
5057
Let u = 6 + -1. Let x be 0 + (-3)/((-3)/(u + -2)). Suppose x*o - 57 = -3. Calculate the least common multiple of o and 8.
72
Let o = 1691/1200 + 89/200. Calculate the common denominator of (-2)/32*3/6 and o.
96
Calculate the common denominator of 2887/2310 + (-364)/3822 and 92/45.
990
Let d(o) = -9*o + 2. Let h be d(-2). Let q = -12 + h. Suppose 19784*r - 120 = 19772*r. Calculate the lowest common multiple of r and q.
40
Let p = 164683163/289884 + -27644/49. Let u = p - 10/493. Find the common denominator of -37/51 and u.
204
Let l be -5 + 5 - (-127 - (-1)/1). What is the common denominator of -37/33 and (1 - (-809)/l) + 102/459?
462
Let g = 11/5 - -323/10. Let l = -399936/11 + 36312. Let p = -4025/66 - l. Find the common denominator of p and g.
6
Suppose 7*k = k + 498. Suppose -k + 55 = -o. What is the lowest common multiple of 9 and o?
252
Let b be ((-50)/(-8))/(42/140). Let y = -457/30 + b. What is the common denominator of 1989/1632*(1 + (-31)/9) and y?
240
Let n be -43 - -47 - (-1609)/(-9). Let m = n + 174. What is the common denominator of m and (-2)/(-7) - (-26)/(-7)?
63
Let n be 3 + -1 + 2 + -5. Let c be n*(2 + (-90)/2). Let v = c - 13. Calculate the least common multiple of v and 16.
240
What is the common denominator of (2245/160 - 14)*(-54 - 1) and 99/1220?
9760
Let f(b) = -4*b + 31. Let c be f(7). Let q = 1635 + -13123/8. Calculate the common denominator of q and 1 + (1 - c - (-168)/256).
32
Let v(s) = -s**3 - 7*s**2 + 11*s + 69. What is the lowest common multiple of v(-8) and 265?
2385
Suppose 51*u - 186*u + 13248 = -79*u + 358*u. Let a(k) = -10*k. What is the lowest common multiple of a(-2) and u?
160
Let g = 10055609/276 - 36433. Find the common denominator of -59/12 and g.
276
Let w be (91/21)/((-1)/(-315)). What is the common denominator of -1 - (-11)/13 - (-2823)/w and 42/5?
35
Suppose 2*h - 2*n = 14, n - 20 - 27 = -5*h. Calculate the smallest common multiple of h + -5 - (-2 + 174)/(-2) and 81.
810
Let z = 3471 + -24347/7. Calculate the common denominator of (-202)/21*30/(-200) and z.
70
Suppose -37*d - 636 = -90*d. What is the lowest common multiple of 1128 and d?
1128
Find the common denominator of 113/728 and (-16)/((-101920)/2301) + 8/140.
5096
Let l(p) = 21*p - 1141 + 2360 - 931. Let n = -3 - -36. What is the least common multiple of l(-13) and n?
165
What is the common denominator of -85/8 and (-312)/2496 - 846/(-4880)?
2440
Let o be 474/6 + (2 - (-2 - -1)). Calculate the common denominator of 40/151 and (0 + o)/(208/13).
1208
Let j = -2821 + 67715/24. Let d(c) = -14*c**2 - 8*c