-2*q + 24 = 192*b - 189*b. Calculate the least common multiple of q and x.
348
Let i(b) = 8356*b - 51. Let v be i(-3). Let u = -502489/20 - v. Calculate the common denominator of u and -29/18.
180
Suppose -114*g + 118*g = 1196. Find the common denominator of 2/(-6) + g/26 and (-14)/49*(-77)/36.
18
Let l = 22049 + -20315. Calculate the lowest common multiple of 5202 and l.
5202
Let r = -17/3447 + 1166/3447. Let n = -1734938/699165 - 1/25895. What is the common denominator of r and n?
27
Let j(i) = 2*i - 33. Let g be j(14). Let l be ((1 - -4) + g)/(-2 + 0). What is the lowest common multiple of 8 and (-3 + l)/((-15)/30)?
24
Let v(q) = 432*q - 3008. What is the smallest common multiple of v(7) and 10?
80
Suppose 5*y = 5*p + 6*y - 598, 0 = 5*p + 5*y - 590. Calculate the smallest common multiple of p and 54.
1080
Let z(y) = -y**2 - 15*y + 58. Suppose -30*i - 25 = -115. Suppose 2*c + 2*c = 2*f - 44, -41 = -2*f + 3*c. Calculate the least common multiple of f and z(i).
16
Let h(o) = 4*o**2 + 12*o - 2. Let r be h(-3). Let z be (17/(-51))/(r/18). Find the common denominator of -25/3 and ((-1)/(-4))/(z/(-486)).
6
Let y(i) = 2*i**2 - 2*i + 1. Let u = -69 + 71. Suppose -2*d - 2*c + 10 + 6 = 0, -u*c = -3*d + 34. Calculate the smallest common multiple of d and y(1).
10
Let u(s) = 23*s**3 + 6*s - 3. Let p be u(2). Let z = -190 + p. Suppose -127 = -5*r - 2*b, -20 + 4 = 4*b. Calculate the least common multiple of z and r.
27
What is the least common multiple of -11 - 5/((-5)/22) and 432?
4752
Let s be ((-5)/10)/(2/3140). Let b be 10/(-1125)*-3*3/s. Let j = -804397/2237250 + b. What is the common denominator of j and -87/4?
228
Suppose -2592 = -3*f + 2*q, 18*q - 18 = 21*q. What is the lowest common multiple of 258 and f?
2580
What is the common denominator of 11/(132/12) + (-51)/(-12) and -71/20?
20
Let n be (-39)/(-91)*28002872/(-90). Let z = n + 133348. Find the common denominator of z and -67/18.
630
Let f = 16 - 10. Suppose f*y - 8 = 2*y. Suppose 0 = -2*g + 4*m + 52, -5*g + 5*m + 43 = -77. What is the smallest common multiple of y and g?
22
Suppose -2*z + 1676 = s, 60*s - 56*s - 6740 = 4*z. Calculate the lowest common multiple of s and 174.
5046
Let t = -19808 - -20236. What is the smallest common multiple of t and 3210?
6420
Let x(y) = y**3 - 16*y**2 + 16*y - 12. Let a be x(15). Suppose -z = a*z - 144. Find the common denominator of -81/14 and -3 + (-69)/z + -2.
84
Let p = -19358 + 19368. Calculate the least common multiple of 176 and p.
880
Suppose 26 = 4*y - 2*v, 0 = 7*y - 9*y + 3*v + 19. What is the smallest common multiple of 16/((-1)/(-10)*y) and 36?
288
Suppose 170*n = 167*n + 378. What is the common denominator of n/(-8) - ((7 - 16) + 6) and -67/14?
28
Let r be (-1)/(((-51)/18)/17). Find the common denominator of (-6)/(-44)*1*(-41)/r and 71/30.
660
What is the smallest common multiple of 297 and (2340/(-160))/39 - 4230/(-16)?
2376
Let v(k) = -k**2 + 22*k + 481. Calculate the lowest common multiple of 7 and v(0).
3367
Let o be ((-80)/(-6))/(-4)*(15 - -48). Find the common denominator of 115/336 and 999/o + 14/(-98).
1680
Let a = 22 - 189/4. Suppose 3*q - 126 + 711 = 0. Calculate the common denominator of (-18)/(-72) + q/124 and a.
124
Suppose -s + 526 = -2*u, 15*s - 13*s + 2*u - 1070 = 0. Suppose -50*t = -54*t + s. Calculate the least common multiple of 95 and t.
665
Let d = -829348863/20 - -41449458. Suppose 20*b = -181888 - 177912. Let t = b - d. Find the common denominator of t and -89/56.
280
Find the common denominator of 43/3325 and -9 + (1229088/17100)/8.
9975
Let a = 26105303/3355488 - -95/18336. Let w be (1/(-6))/((-122)/46). Let r = a - w. Find the common denominator of r and 57/4.
36
What is the smallest common multiple of -12 - -17 - (4 + -3 + -2) and 4216?
12648
Let a(h) = 6*h + 3*h - 7*h - h - 11. Let s be a(14). Calculate the lowest common multiple of 2 and (s/2)/(9/816).
136
Let j = 41749580957439/255310889985500 - -135/1015657444. Let s = j + 9/2011. Calculate the common denominator of s and 15/7.
875
Suppose 480*k = 484*k - 200. What is the common denominator of -79/30 and (176/(-480))/((-12)/k)?
180
Suppose 0 = 18*f + 109 - 955. Let y(i) = 2*i**2 - 91*i - 131. What is the smallest common multiple of 190 and y(f)?
190
Let x be ((-1164)/(-42)*-1)/(106/9). Let i = 4/53 - x. Calculate the common denominator of 1/46 and i.
322
Let u(s) = -2*s**2 - 25*s + 23. Let j(v) = v**2 + 12*v - 11. Let c(t) = -7*j(t) - 3*u(t). What is the smallest common multiple of 4 and c(-8)?
16
Let x = 12836 + -308117/24. Find the common denominator of 82/(-18)*-6*(-1)/24 and x.
72
Let n = 21 + -201. What is the least common multiple of (24/(-15))/(6/n) and 24?
48
Let w = 955/241 - 638965/165808. What is the common denominator of w and -77/6?
2064
Suppose 2*j + 344 = 4*b, -329 = -3*b - 10*j - 117. Let y(u) = 20*u + 6. Let s be y(5). Let r = s - b. What is the lowest common multiple of r and 112?
1232
Find the common denominator of 121/10 and 116/87 - 267496/199632.
41590
Suppose 0 = -w - u + 518, -2*w + 2*u = -703 - 329. What is the least common multiple of w and 94?
1034
Let y be ((-800)/44)/(-10) - (-6)/33. Suppose -y*l + 1052 = 2*r, 0*r = r. Calculate the least common multiple of l and 14.
3682
Find the common denominator of -68/351 and 5/(1755/51) - (-3)/((-312)/(-16)).
351
Let v = 4514 - 4466. What is the least common multiple of 2 and v?
48
Suppose 57*p = 61*p - 24. Let u be (-2 - (-51604)/48)/(p/(-9)). Let v = u - -1604. Find the common denominator of -1/22 and v.
88
Let o be 30*(-8)/(240/18). Calculate the common denominator of 31/14 and 3 + ((-17)/o + -3 - 3).
126
Suppose -7469 = -31*f - 24829. What is the common denominator of (-8)/6 + (-1128)/f and -32/21?
210
Suppose 0 = 3*v - v - 20. Calculate the smallest common multiple of (6116/(-88) - -62)/(6/(-8)) and v.
10
Suppose -40 = -0*y - 2*y. Suppose -3 = -21*w + y*w. Suppose -5*u + 49 = -2*f + f, u - 7 = w*f. What is the lowest common multiple of u and 6?
30
Let v(q) be the third derivative of 127/120*q**6 - 1/24*q**4 + 0 + 1/30*q**5 + 0*q**3 + 0*q - q**2. What is the smallest common multiple of 10 and v(1)?
640
Let b = 243455267/23132820 - 8/186555. Let y be (-97)/155 - 6/(-15). Let g = b - y. Find the common denominator of g and 103/24.
24
Suppose 2*q - 5*q = -3*r - 129, 5*q - 215 = 2*r. Let m = q + -7. Suppose -3*l + 3*f - 9 = 0, 8 = -l + f + f. Calculate the smallest common multiple of l and m.
36
Let f = 33 + -395. Find the common denominator of (-2)/6 + f/228 and ((-2322)/44)/3 - (-25320)/1688.
418
What is the least common multiple of 70 and (-89250)/1125*3*1/(-2)?
1190
Let z = -60949/52 - -1172. Let m = 1767613/56 - 31564. Calculate the common denominator of z and m.
728
Let n(x) = 56*x**2 + 272*x - 273. What is the lowest common multiple of n(1) and 16?
880
Suppose 2*g + 3058 = 2*j + 136, 5889 = 4*j + g. Calculate the smallest common multiple of j and 42.
1470
What is the smallest common multiple of (-1 - -4) + -2*1 and (-620)/(-124)*(-693)/(-30)*4?
462
Let u = 5 + 16. Let n(m) be the third derivative of m**4/12 - 17*m**3/3 + 170*m**2. What is the smallest common multiple of n(u) and 5?
40
Let n = 21648 - 21634. Calculate the lowest common multiple of n and 3346.
3346
Let m = -75741051/10696 - -28325/4. Let j = m + -129877/32088. What is the common denominator of j and 2*2/36*6/(-3)?
63
Suppose 180*m - 3056 = 181*m. Let a = -73367/24 - m. Find the common denominator of 173/60 and a.
120
What is the common denominator of 75/135 - (8 - -2 - 1) and -53/196?
1764
Calculate the lowest common multiple of -8 + ((-12)/(-78) - 336/(-13)) and 2304.
2304
Let k(c) = -c**2 - 42 + 2*c**2 - 2 - 15 - c. Let h be k(0). Let v = 71 + h. Calculate the smallest common multiple of v and 22.
132
Let o be ((-6 - -8) + 2 + 0)/(-2). Let y be (18/(-6))/((-2)/o). Calculate the common denominator of 133/12 and 303/(-90)*y/12*-6.
60
What is the smallest common multiple of 2016 and (-2266)/721*-7*2?
22176
Let o be (576/81 - 7)/(4/(-4314)). Let w = o - -18091/150. Calculate the common denominator of w and -52/15.
75
Let m(c) be the third derivative of c**6/120 + c**5/12 - 7*c**4/24 + c**3/6 - 9*c**2. Let i = 367 - 356. What is the lowest common multiple of m(-6) and i?
77
Let f = -75931/770 - -7878/77. What is the common 