(((-156)/(-9810))/13). Let m = f - -556. Calculate the lowest common multiple of 168 and m.
1848
Let l = -6083/12 + 506. What is the common denominator of (12/16)/(3/230*-9) and l?
36
Let y = 20537 + -17761. Calculate the lowest common multiple of 1735 and y.
13880
Let h = -2955/473 - -546429/87032. What is the common denominator of 33/1840 and h?
20240
Suppose -6*v = -15*v - 828. Let b = -88 - v. Suppose b*g = 151 + 9. What is the smallest common multiple of g and 5?
40
Let w be (-12)/48 + 74/8. Suppose -3*a = -3*s + 9, 7 = -14*a + w*a - 3*s. Find the common denominator of 77/24 and (-9)/(-3) + (-265)/(-105) + a.
168
Suppose -10*u - 5*u + 105 = 0. Suppose 0 = u*x - x - 24. Find the common denominator of -23/14 and (x/(-9))/((-8)/88).
126
Suppose -5*l = 3*l - 40. Suppose 3 = l*y - 8*y. Calculate the least common multiple of 10 and 0 - (1 - y - 66).
320
Let y(l) = -4*l**2 + 41*l + 218. What is the lowest common multiple of 60 and y(14)?
120
Let q = -5 - -27. Let r(o) be the first derivative of o**3/3 + 5*o**2/2 - 4*o - 3. What is the lowest common multiple of q and r(-8)?
220
Let v = 2/15517 + -682766/139653. Calculate the common denominator of 1 - 1 - (-103)/(-18) and v.
18
Suppose -20*w + 12*w = 40. Let s be (-1 - w) + (-493336)/123336. Let p = -734867/154170 - s. Calculate the common denominator of p and 61/10.
30
Let w be -32 - -8*6/(-48). What is the common denominator of ((-1)/8)/(w/(-564)) and 35/88?
88
Let s = 17860/27 - 664. What is the common denominator of ((-3)/(-54)*-3)/(5/(-14)) and s?
135
Let x = -5158 - -227019/44. Let k = -257/12 + 395/24. Calculate the common denominator of k and x.
264
Let f(g) = -10*g**3 + g + 2. Let m be f(-1). Suppose -5*k - 2*s + s + m = 0, s = 3*k - 13. What is the common denominator of -75/16 and k - 27/24*18?
16
Calculate the lowest common multiple of 8*((-12)/(-32) - (-7)/8) and 898.
4490
Let t be (-12)/(-4) + (3 - (-2 + 10)). Let l = 32 - 14. Calculate the lowest common multiple of t/(-30)*-3 - (-21)/5 and l.
36
Let p be ((-3)/3)/(7/(-91)). Suppose -5 + p = w. Calculate the lowest common multiple of 4 and (1*-1)/(w/(-80)).
20
Let o = -4998095/99 - -50485. What is the common denominator of o and 31/946?
8514
Suppose i + 390 = 3*m, -3*m - i + 388 = -20. What is the least common multiple of m and -2*3/2*-3?
1197
Suppose -5*z = 2 + 3, 5*p - z - 7731 = 0. Let c = p + -30863/20. Find the common denominator of c and 121/6.
60
Suppose -3*u = 1310*p - 1309*p - 356, -p + 236 = 2*u. What is the lowest common multiple of u and 360?
360
Let c be (-2 - (-3)/9) + (-1600)/(-6). Calculate the common denominator of (-30)/(-148)*1696/c and 13/8.
296
Let o = -222 - -261. Suppose -9*h + 123 = -o. What is the least common multiple of h and 30?
90
Suppose -2*d - 4*p = -4*d - 42, 4*d + 5*p = -123. Let z be (7 + -12 + -34)/(-1). Let c = d + z. Calculate the lowest common multiple of c and 12.
12
Let v(y) = y**3 + y**2 - 4*y + 5. Let z = 54 - 36. Let l = -16 + z. Calculate the smallest common multiple of 18 and v(l).
18
Let i = -22 + 1. Let s = -457 - -430. Calculate the smallest common multiple of (7/(i/(-6)))/((-6)/s) and 10.
90
Let u be (9 - 6 - -379156)/(-20). Let h = u + 18952. Calculate the common denominator of 8/(-54)*213/(-8) and h.
180
Suppose -n - 13 = 11*j - 8*j, 3*n = -2*j - 25. What is the lowest common multiple of 120 and (102 + -5 + n)/((-6)/(-4))?
120
Suppose 4*k = 3*n - k - 1649, k - 8 = 0. Calculate the least common multiple of n and 32.
18016
Let q(n) = -n**3 + 37*n**2 + 74*n + 254. Calculate the least common multiple of 539 and q(39).
1078
Let g = -1583170/51 + 62087/2. What is the common denominator of g and (-64 - -62) + (4/(-14) - 2209/(-1190))?
510
Let l(z) = z**3 + z**2 + z + 51. Let t(j) = 38*j - 2423. What is the least common multiple of l(0) and t(64)?
153
Let x = -54833/4974200 + 20/1463. Find the common denominator of x and 51/14.
23800
Let b be (50/8)/((-2)/(-10)). Let r = -221/12 + b. What is the common denominator of r and -10/51?
102
Suppose 0 = -0*h - 12*h + 240. Let q be (-352)/(3 + (-84)/h - -1). What is the common denominator of (-5204)/q + 2/11 - -3 and -91/2?
40
Let b = 3989743/320 + -12468. Find the common denominator of -49/1600 and b.
1600
Suppose -8963 - 9668 = -147*p + 21794. What is the smallest common multiple of p and 325?
3575
Let j = -1051/1482 - 37/39. What is the common denominator of -50/589 and j?
1178
Let c(i) = i**3 - 9*i**2 - 11*i + 17. Let b be c(10). Suppose b*z - 3*z + m = 396, 0 = 4*z - 4*m - 416. Calculate the smallest common multiple of z and 90.
900
Calculate the least common multiple of 44 and 198/(-1)*((-1254)/(-44))/(-57).
396
Suppose -5*o = 3*j - 114, -210 = 55*j - 59*j + 3*o. What is the lowest common multiple of 72 and j?
144
Let n be 2*(-3)/(-2) + -3. Suppose n = 2*h - 22 + 2. Suppose p + z - 4 = 10, 0 = p - z - h. What is the lowest common multiple of p and 10?
60
Let k be 1 + (-812)/5 + 372/(-620). Let r = -2551/846 + 66/47. Find the common denominator of (-11)/66 - (-381)/k and r.
54
Let s = -1390109/6 + 229508. Let z = 2196 + s. Calculate the common denominator of -65/3 and z.
6
Let p = 37333/5634 - -30/313. Suppose 4*b - 92 = -8*t + 6*t, 5*t - 110 = -5*b. What is the common denominator of p and (-1918)/b*(-9)/126?
72
Let t be 0/1 - (-8 + 2). Suppose 2*h - t = 5*s, 3*h - 5*s - 4 = -0*s. Find the common denominator of 109/18 and 115/(-90) + 4/h.
18
Let w = 166527 + -302246492/1815. What is the common denominator of -80/297 and w?
16335
Let l(n) = 182*n + 3230. What is the lowest common multiple of 36 and l(-17)?
1224
Suppose 0 = -h - 2 + 5. Let t be (890/30 + (h - -1))*-3. Let r = -71 - t. What is the smallest common multiple of r and 3?
30
Calculate the common denominator of -55/336 and (-2)/(-24)*(10/(-45) - (-75)/(-10)).
3024
Let i(n) = -n**3 - 10*n**2 + 6*n + 15. Let r be i(-6). Let x = r + 101. Let o = 66 + x. Calculate the least common multiple of o and 61.
122
Let h be (5 + -2 - 4)/(5/(-25)). Suppose h*v = -4*s + 11 + 89, 4*s + 100 = 5*v. Calculate the smallest common multiple of v and 58.
580
Suppose 2*u - 4*p = -0*u + 486, -3*u + 4*p + 725 = 0. Let m = 248 - u. What is the least common multiple of 175 and m?
1575
What is the common denominator of 111/968 and 202/24*9*(-4)/(-54)?
8712
Calculate the smallest common multiple of 1740 and (-16)/10 - (33 + 23190/(-150)).
3480
Calculate the least common multiple of (65/(-26))/((-1)/4) and 2041.
20410
Suppose -18*u = 1664 + 3376. Let j = 295 + u. What is the lowest common multiple of j and 18?
90
Let l be (-4 + 0 + 2 + 3)*6. Let q(t) = 5*t**2 - 18*t - 12. What is the smallest common multiple of q(l) and 20?
60
Let c = 22019/6 + -3680. Calculate the common denominator of (6807/(-4538))/(((-42)/(-16))/3) and c.
42
Let v(a) = -5*a - 59. What is the least common multiple of 144 and v(-67)?
3312
Let t = -8324 - -3795865/456. What is the common denominator of t and -83/136?
7752
What is the common denominator of -38/119 and ((-3)/4*-2)/(-13 - (-32704)/1888)?
1190
Let x(p) be the second derivative of -p**5/20 - p**4/2 - 2*p**3 - 31*p**2/2 + 5*p + 2. What is the smallest common multiple of x(-5) and 55?
220
Suppose k + 8 = -0*k + 4*q, -5*k + 28 = -3*q. Suppose 10*d - k*d = -50. Calculate the smallest common multiple of (14/(-5))/(5/d) and 14.
14
Let a be 4 + (-706)/8 + 6/24. Find the common denominator of -17/2 and ((-1017)/a)/(3/(-2)).
14
What is the common denominator of (-6)/((-6000)/70) + 42/(-48) + 1 and 6/275?
2200
Suppose 41*q - 43*q - l + 100 = 0, -5*q = -4*l - 224. What is the least common multiple of 48 and q?
48
Let c = 21 + -196/9. What is the common denominator of c and ((11/(264/(-112)))/(-2))/3?
9
What is the least common multiple of 25 and ((-8)/(-12)*54/24)/(6/3400)?
850
Let k = -88976/550599 + -20/3297. Let a = k - 2279/3340. Find the common denominator of a and 19/24.
120
Find the common denominator of (-18 - -3)/(2254/(-92)) and 47/3703.
25921
Suppose o + 2*o = 2*c + 242, 5*o = 2*c + 410. Calculate the lowest common multiple of 162 and o.
2268
Let p(l) = -5*l + 14. Let q be (-4 + -2)/(-3) + 3. Suppose 4*y - 46 - 5 = q*n, -n - 3 = 0. What is the least common multiple of y and p(-5)?
117
Let t = -1226177/28 + 43794. Find the common denominator of (3/(-16))/(9/138) and t.
56
Let q = 1428