Let k = -257878342/189 - -1364424. Let p = -35/3 - k. Find the common denominator of p and 88/15.
945
Let u = 40 - 45. Let h(k) = k**3 + 5*k**2 - 2. Let v be h(u). Calculate the lowest common multiple of 3 and (-7 - v)/((-3)/6) - -1.
33
Let v(d) = -2*d**3 + d + 4. Let l(k) = -k**2 - 19*k - 24. Calculate the least common multiple of l(-10) and v(-2).
198
Let t be (-625)/12 + 7*24/126. Let w = -342/7 - t. Calculate the common denominator of w and 71/8.
56
Let l = -453267413/774 - -585617. Calculate the common denominator of l and -17/1161.
2322
Calculate the least common multiple of 1668 and ((-3)/(-4))/(417/(-278)) + 1947/2.
11676
Suppose 1236 = -137*q - 13*q + 14436. Calculate the least common multiple of 66 and q.
264
Let k = 9/18496 - -38543/166464. Find the common denominator of k and 29/340.
3060
Let h be (6/(-28))/((-27)/21)*9005. Let z = -1679319359/54 - -31100010. Let l = z - h. Find the common denominator of 139/18 and l.
54
Suppose -p + 3*w = -28, -8*p + 4*w = -9*p + 42. Calculate the common denominator of (-2)/3 - p*(-15)/(-72) and 117/230.
460
Suppose 8*u = -0*u + 192. Let s(g) = g**2 - g**3 + u - 6 + 14*g**2 + 2*g**2 + 18*g. What is the smallest common multiple of 10 and s(18)?
90
Suppose -15*t + 55 + 20 = 0. What is the common denominator of (t + (-65)/(-20))*(-30)/639 and -43/6?
426
Find the common denominator of 5/4 and ((-120)/(-48))/(-1 + 7715/(-25)).
3096
Find the common denominator of -83/76 and ((-86)/(-903))/(16/3052).
228
Suppose 2*h = -f - 4*f - 2, -h - 2*f = 0. Calculate the common denominator of -3 + ((-868)/(-122) - h) and -40.
61
Let u(d) = 2*d**2 + 2*d. Let p be u(0). Suppose p*x - 3504 = -6*x. Suppose -23*a = -37 - x. What is the smallest common multiple of 33 and a?
297
Let s be (2 - 196/(-5)) + (-8)/(-10). Suppose -p = -4*w - s, 4*w - 7 = -15. Suppose 0*i + 56 = 8*i. What is the least common multiple of p and i?
238
Calculate the common denominator of -129/1190 and 7/(-84) - 632/2720.
3570
Let y = 3746/3 + -75247/60. What is the common denominator of y and ((-57)/(-48) - 1)/((-2)/11)?
160
Calculate the common denominator of 29/2 and 6/16*8316/137412.
2776
Suppose -2*z - 16*z + 40490 = 1664. Calculate the lowest common multiple of z and 8.
17256
Suppose 28*v - 22*v = 0. Suppose -35*q + 54*q - 38 = v. Calculate the least common multiple of 34 + (-2 - (0 - 0)) and q.
32
Suppose -d = -2*d + 10. Let j be (-7 + 5)*1415/(-10). Let c = j + -269. What is the smallest common multiple of d and c?
70
Let i = -338 - -357. Suppose 5*f - i = -9, -5*s = f - 212. What is the lowest common multiple of 42 and s?
42
Suppose -3*z + 6412 = -4*d, 10772 = 5*z + 195*d - 191*d. Calculate the lowest common multiple of 6444 and z.
6444
Let y = 2 - -2. Suppose y*d - 58 = -42. Suppose d*v = -5*g + 18, 0 = 2*v + 2*g + g - 8. What is the lowest common multiple of v and 7?
7
Suppose -7*p + 3*p = 5*y - 17, 13 = -4*p + y. What is the common denominator of (26/42)/(18/243) and (-286)/140 - p/7?
70
Let q(b) be the third derivative of -5*b**6/24 + b**4/24 + b**3/6 - 16*b**2. Let z be q(-1). Calculate the common denominator of -33/4 and ((-3)/2)/(6/z).
4
Let m(n) = -11*n**3. Let z be 3/(3/2) - (5 - 4). Let o be m(z). Let p = -2 - o. What is the smallest common multiple of 2 and p?
18
Let i = 14541/2 + -1875707/258. Calculate the common denominator of i and -37/8514.
8514
Suppose -3*u - 2*c = -0*u - 62, -52 = -4*u + 5*c. Let d be (-1)/(((-15)/(-12444))/5). What is the common denominator of d/(-360) + (-4)/u and 54/5?
10
Let m = 3390 + -169567/50. What is the common denominator of 9/110 and m?
550
Let o be 97/(2 + (-5)/1 - -4). Let x(s) = s**2 - 19*s - 19. Let d be x(14). Let y = o + d. What is the least common multiple of y and 18?
72
Let p = -13984 + 377509/27. Let i be ((-106666)/(-42)*-2)/((-2)/(-9)). Let k = i + 548479/24. Find the common denominator of k and p.
216
Let v(b) = -3 - 7*b - b**2 - 3 - 4. Let u be v(-4). What is the least common multiple of u*(2 - 27/(-3)) and 4?
44
Let h(k) = -9020*k**2 + 2*k - 2. Let p be h(1). Let w be ((-6)/p)/(24/64). Let i = 69997/51865 - w. Calculate the common denominator of i and -139/6.
138
Let x = -29783 + 29879. Calculate the smallest common multiple of x and 768.
768
Suppose -3*f - 57 = -3*o, 4*o = f + 31 + 33. What is the least common multiple of 365 and o?
1095
Suppose 0 = -4*a + 8, -3*y = 2*a + 3*a - 25. Suppose -y*q = -q + 204. Let v = -39 - q. Calculate the smallest common multiple of 6 and v.
12
Let y = -2514 - -3546. What is the common denominator of 41/4 and (-342)/y*10/3?
172
Calculate the common denominator of 42/13 and 1685*(-3)/(-585) + -4 + -4.
39
Calculate the common denominator of (12 + -2 + -13)/(-54) + (-6)/8 and 25/36.
36
Let u(y) = y**2 - 22*y - 27. Let m be u(23). Let p be (123735/32751 - 1) + (-4 - m). Let q = p + -1/3639. Calculate the common denominator of -71/9 and q.
9
Let o(f) = 25*f**3 - 6*f**2 - 4*f - 6. Let s be o(-5). Let l = s + 16359/5. Calculate the common denominator of 19/3 and l.
15
Let g = -2081219921644/7657 + 271806182. Let n = g + -12/403. Calculate the common denominator of -3 - (26 + 2) - (-3)/2 and n.
38
Let o = -9/7058 - -231595/349371. Find the common denominator of 137/72 and o.
792
What is the smallest common multiple of 1735 + (3/(-42) - (-923)/182) and 20?
1740
Let r(j) = 2*j**3 + 3*j**2 - j - 11. Let h be r(-3). Find the common denominator of (-25)/(-76)*(-154)/h and (-4)/14 + (-159)/(-336).
304
Find the common denominator of (35/(-1))/(-7) + (-249450)/49830 and -54/7.
11627
Let v be -26 - (3 - 2 - -2). Let h = -13633 - -190941/14. What is the common denominator of h and 4/8 + v/(-10)?
70
Let y(c) = -15*c**2 - 5*c - 15. Let m be y(-5). Let r = m - -371. What is the lowest common multiple of r and 114?
114
What is the common denominator of ((-212)/(-130))/(54/120*-4 - -9) and -1?
234
Let o = 149/2739 + -2/83. Calculate the common denominator of (-78484)/6776 + (-15)/(-10) - (-9 - 1) and o.
363
Suppose -108*g + 418*g = 3100. Calculate the smallest common multiple of g and 2/(-6) - (-236)/6.
390
Let u = 6799 - 13513/2. Find the common denominator of (-24993)/(-81486) - (-2)/(-9) and u.
1006
Suppose -w - 4*b - 4 = 0, 0 = -6*w + 5*w + 5*b + 14. Calculate the lowest common multiple of 210 and w.
420
Calculate the common denominator of (9 - -105)*1/28*(-88)/726 and 19/308.
308
Let i = -444/5745925 - -4962801676/2085770775. Let o = i - 7/363. What is the common denominator of o and (10/(-8))/((-11)/(-4))?
275
Let q be -12*84/25092*(-2)/(-7). Let v = 12713/75276 + q. What is the common denominator of -53/6 and v?
108
What is the smallest common multiple of 6/(6 + -3)*1602/162*9 and 1246?
1246
Find the common denominator of -53/33 and 53/(1029/28*(-50)/5).
8085
Suppose -25*f = -24*f - 4. Suppose 0 = -f*g + 3*v + 8257, 4135 = 4*g - 2*g + 5*v. Let s = 22670/11 - g. Calculate the common denominator of s and -26/11.
11
Let r be ((-20)/(-15))/(4*(-2)/(-12)). Suppose -1 - 21 = -r*s. Suppose -7*c + 81 = s. Calculate the lowest common multiple of 2 and c.
10
Let b = -9 + 11. Suppose 4*s - 16 = 5*a - 6, -b*s - 2 = a. What is the common denominator of 19/3 and 5 + (-730)/105 + s + -2?
21
Suppose 8*t = -10*t - t + 95. What is the lowest common multiple of 1799 and t?
8995
Let q(c) = 10240*c - 40957. Let f = 6 + -1. Suppose 4*y + 10 = f*y. What is the lowest common multiple of q(4) and y?
30
Suppose -12*r = 11*r - 1104. Find the common denominator of (-3)/90*(-850)/r*2 and -55/12.
72
Let z be 50814/(-46070)*31*(-9)/108. Let p = 3/4607 + z. What is the common denominator of p and 13/40?
40
Find the common denominator of (-94)/12 - (1 + -1) and (-9275)/20140 + 6/8.
114
Let w = 40 - 22. Let y(p) = 151*p + 3086. What is the lowest common multiple of y(-20) and w?
198
What is the common denominator of 22/(-3)*(-23)/(-138) and (-74)/30 - (-13 + 6)?
45
Let y(x) = 6*x**3 - 3*x**2 + x + 1. Let d be y(3). Let a = -121 + d. Calculate the least common multiple of a and 10.
90
Let b = 479708 - 412548753/860. Calculate the common denominator of -61/100 and b.
4300
Let d = -30218 - -1087919/36. What is the common denominator of d and -53/2724?
8172
Suppose 2*n = 3*s + 1649, -3003 + 487 = -3*n - 4*s. Calculate the least common multiple of 416 and n.
832
Let z(r) = -r**2 + 10*r - 41. Let n 