248. Calculate the least common multiple of r and 468.
2340
Let v(p) = 2*p**2 - 50*p - 1066. Calculate the smallest common multiple of v(43) and 32.
7712
Let t(z) = -z**3 + 15*z**2 - 27*z + 11. Let q be t(13). Calculate the common denominator of -53/10 and (-4028)/2240 + (8/(-14))/q.
80
Let a = -125602/3 + 42391. Let s = 530 - a. What is the common denominator of -40/311 and s?
933
Let l(b) = 2350*b**3 + b - 2. Let a be l(1). Let v = a - 32829/14. Calculate the common denominator of v and 99/124.
868
Calculate the smallest common multiple of (22 - 1)*44296/686 and 2486.
14916
Suppose -g - 1934 = -3*r, -284 = 5*r + 5*g - 3474. Let b = r - 639. Calculate the smallest common multiple of b and 8.
8
Let i = 41043/8 + -5121. Find the common denominator of -93/4876 and i.
9752
Let p = -15318 - -367751/24. Suppose -2*f - 72 = 2*f. Calculate the common denominator of ((-15)/f)/(1/(-2)) and p.
24
Let t be 2 + 0 - (-294)/(-146). Let n = t + 3287/146. Let v = -1853/22 - -84. Find the common denominator of v and n.
22
Let c(u) = -2*u**2 + 2*u + 9. Let w be c(-5). Let d be w/4 - 2/8. Let r = 22 + d. Find the common denominator of r and 25/7.
7
Let d = -273347/28 - -9761. Let i = -5279/1140 + 52/95. What is the common denominator of i and d?
84
Let k = 15366339/175 + -87808. Calculate the common denominator of 103/490 and k.
2450
Find the common denominator of 47/5 and ((-213)/(-195))/((-77)/(-5)*-4).
20020
Let m = -2/1236637 + -62414306015/7419822. Let h = 8432 + m. Calculate the common denominator of (-2850)/(-12)*(-2 - (-87)/45) and h.
6
Let b = -1072 - -2103/2. Let g be (-2)/(1 + -1 + 19/19). What is the common denominator of 460/24 - (7/g + 4) and b?
6
Suppose 0 = -a + 2*r + 58 - 59, -4*a = 3*r - 18. Let b(v) = 2*v**2 + 9*v - 33. Calculate the smallest common multiple of b(a) and 72.
72
Let b = 1525673/62 - 24607. Calculate the common denominator of (-18126)/285 + 64 + ((-2238)/(-140))/(-3) and b.
434
Suppose 2*t - 5*n + 6 = 0, 4*t - 5 = n + 19. Suppose 197 = -t*m - 6. Let k = m + 37. Calculate the smallest common multiple of k and 12.
24
Let f be 11045/(-5524) - (-26)/13. Let t = -44869/24858 - f. Find the common denominator of t and 74/63.
252
Suppose -38*f = -80 - 72. Calculate the least common multiple of f and -24*((-38)/6 - -5) - -4.
36
Let g = -28 + -30. Let s = g - 262. Find the common denominator of (s/(-672))/((-6)/(-28)) and -113/6.
18
Let i(w) be the third derivative of -229*w**4/24 + 8*w**3/3 - 10*w**2. Let g be i(6). Let n = 44810/33 + g. What is the common denominator of -71/3 and n?
33
Calculate the least common multiple of -1*(-12 - -10)/((-1983)/663 - -3) and 17.
221
Suppose 0 = 46*d - 160 - 70. What is the smallest common multiple of (-2)/(-5) + 1616/10 and d?
810
Let z = -55572/19 + 2922. Let q = -1/239 + -4058/1195. Calculate the common denominator of q and z.
95
Calculate the smallest common multiple of (-456)/(-40) - 50/125 and 659.
7249
What is the common denominator of ((-4)/3 + (-56)/84)*(-175)/(-56) and 107/1064?
1064
Let i(u) = 4*u**3 + 102*u**2 - 57*u - 10. Calculate the lowest common multiple of 96 and i(-26).
480
Let p = 250352 - 7509719/30. Let y = -399/20 + p. Find the common denominator of y and (2/34)/(1 - 225/207).
204
Let s be -2 + 3 - 206/(-2). Suppose -24 = 2*k - s. Suppose -2*y - k = -4*x - y, -4*x + 5*y + 40 = 0. What is the lowest common multiple of 82 and x?
410
Let x = 12545/22 - 570. Let l(o) = -2*o**2 + 19*o + 24. Let j be l(12). Find the common denominator of x and (-15)/5 - 194/j.
198
What is the smallest common multiple of 18 and 64/256*(-1072)/(-1)?
2412
Suppose -131*x = -146*x + 30. Calculate the smallest common multiple of x and ((-38)/10 - -3)/(4/(-110)).
22
Suppose -32 = 4*u - 4*r, -2*r - 2 = 3*u + 2. Let y = -975 - -4853/5. What is the common denominator of u*((-340)/44 - -7) and y?
55
Suppose 0 = 5*i - 16*i - 2838. Find the common denominator of (i/180)/(4/(-10)) and -137/48.
48
Let j be 5718/567 - (-2 - 72/(-42)). Let l = -8/27 - j. Find the common denominator of -3 - -3 - (-39)/(-7) and l.
21
Let p be 4/10 + 285595/(-700). Let g = p + -408/35. Let n = g - -412. Find the common denominator of n and 73/2.
4
Find the common denominator of ((-108)/112)/9*8428/(-10320) and -7/40.
80
Suppose 331 - 233 = -7*x. Find the common denominator of 83/28 and (250/x)/((-900)/(-350)).
252
Suppose 0*y = 2*y, 0 = -2*t + y + 72. Suppose -1279 = -5*m - 1179. Calculate the least common multiple of t and m.
180
Suppose -27*i + 24*i - 12 = 0. Let y(x) = 2*x + 14. Let r be y(i). Calculate the common denominator of (-151)/r*-2*4/(-48) and -97/4.
36
Let a = -127 + 682/5. Let h = 5881409/5213 - 6720/401. Let d = 1115 - h. Find the common denominator of d and a.
65
Suppose 2*w = -2 - 2. Let j = -17/46 - -703/253. Calculate the common denominator of j and (-2148)/440 - w/10.
22
Let v = 3/10135 + -1631783/162160. Let b = -38411/3268 + 3/817. Let y = b - v. What is the common denominator of 39/4 and y?
16
Let u(x) = 21*x**2 + 13*x - 8. Let o be u(-6). Let i = o - 667. Calculate the smallest common multiple of i and 6.
6
Let r = -14 + 25. Let p be (-14 - -16)/(4/(-256)*1). Let l = p - -138. What is the least common multiple of l and r?
110
Find the common denominator of (26/879)/(((-3864)/63)/23) and -81/4.
1172
What is the common denominator of (5/(-15) - 0)/(4/304) and -31/395?
1185
Let o = -627 - -2301. Calculate the lowest common multiple of 4 and o.
3348
Let s be (64/(-80))/(1/20*2). Let c be ((-1)/(-2))/(s/64). Calculate the lowest common multiple of 8 and (-741)/(-19) + c + 1.
72
Suppose -7*z - 40 = -2*z. Let r be z/(-24)*(-2)/49. Let m = -3397/1176 - r. What is the common denominator of 103/12 and m?
24
Let r(c) = -92*c + 38. Let b be r(10). Find the common denominator of -91/6 and (476/b)/((-6)/(-45)).
42
Calculate the smallest common multiple of 138 and -7*(-1 + 2)*-3.
966
Suppose 2288 = 25*n + n. Suppose n + 6202 = 5*f. Calculate the least common multiple of 8 and f.
5032
Suppose t = 4*t + 2*n - 8, 2 = -3*t - 4*n. Suppose -3*b = -422 + 2744. Let k = b - -780. Calculate the smallest common multiple of k and t.
6
Let n = 29/6 - 1357/270. What is the common denominator of n and -85/189?
945
Let t = -642008/3 + 672182417/3141. What is the common denominator of -43/2792 and t?
25128
Let h = 4/318267 + -220560227/95161833. Let j = -73/46 - h. What is the common denominator of j and 13/7?
182
Let q = -100 - -40. What is the common denominator of 67/8 and (-326)/q - 52/(-78)?
40
Suppose d = -2*d + 2*k + 12, 2*k - 30 = -4*d. Calculate the least common multiple of d and 29 + -29 + 3 + 1 + 0.
12
Let i(p) = p**3 + 29*p**2 - 66*p - 50. What is the least common multiple of 6 and i(-28)?
7746
Let x be 19*1/((-2)/2). Let i = x - -35. Suppose -5*z = -d - 91, 2*z - 8 = -2*d + 26. Calculate the lowest common multiple of i and z.
144
Let a = -44 - -62. Let d = -122150 - -122189. What is the least common multiple of d and a?
234
Let k(d) = -9*d + 194. Let x be k(22). Let f = -3867/14 - -276. What is the common denominator of (2 + -8)*(-6)/(768/x) and f?
112
Suppose -v - 116 = -3*w, -2*v = -4*w + 38 + 114. Suppose 4*h - 17 = -2*q + 15, -5*h - q = -w. Calculate the least common multiple of h and (-21)/6*(2 - 6).
56
Let d be (4/(1 - 1/2))/(-2). Find the common denominator of (-15873)/(-5082) - (-1)/((-14)/d) and -35/12.
132
What is the common denominator of 63/3410 and (7 - 252/8)*(-4)/(-36)?
30690
Let w = 5 - 6. Let m(s) = 2*s**2 - s - 2. What is the least common multiple of m(2) and (-19 - -4 - -2)*1/w?
52
Suppose 3*o - 1051 = a, -3*o + 69*a + 1048 = 71*a. Calculate the least common multiple of 600 and o.
4200
Calculate the least common multiple of 306 and (104/(-6) + 0)*9588/(-376).
3978
Find the common denominator of (583/(-220))/((-124)/5) and -34.
496
Suppose 4*d + 20 = 0, 0 = -4*u + d - 6*d + 763. Suppose l = 3*y + 5*l + u, -3*l + 44 = -y. What is the common denominator of -33/29 and (y/3)/(30/(-9)) - 3?
290
Let s(w) = 284*w**2 - 6*w - 46. Let t be s(-6). Let m = t + -561751/55. What is the common denominator of 31/80 and m?
880
Suppose -t = -13*k - 292, 5*t - 5*k - 1717 = -137. Calculate the least common multiple of t and 27.
2862
Let h(c) = 30*c**2 + 130*c + 86. Calculate the lowest common multiple of 1112 and h(6).
7784
Let y 