72, j - 183 = -5*d. What is the least common multiple of j and 184?
8648
Suppose -2*s = -6 - 10. Let y = -234 - -248. Calculate the smallest common multiple of s and y.
56
Calculate the common denominator of (195/(-2002)*-3)/(1116/210) and -5/4774.
9548
Let v = 13910 + -13706. Calculate the least common multiple of v and 120.
2040
Suppose 11*p - 22 - 38 = p. Suppose 3*z = a + 24, -4*a = -3*z - 0*a + 15. What is the smallest common multiple of z and p?
18
Suppose 5*b = 2*k + 5, -2 = 3*k - 4*b + 2. Let n = -4502 - -4502. What is the smallest common multiple of 24 and n + (-20)/(k - (-2)/(-3))?
120
Let b(c) = -c**2 + c + 1. Let f be b(-2). Calculate the common denominator of 2 - f/(90/(-32)) and -3*(-21)/75*15.
45
Let z be 17 + -22 + (-156629)/15. Let i = -10441 - z. Find the common denominator of i and 44/9.
45
Let v = 4065/2 - 3065. Let l = v + 80443/78. What is the common denominator of -47/6 and l?
78
Let s = -48061459/992 - -48449. Find the common denominator of s and 99/16.
992
Suppose 38*l - 34*l = 80. Let p = l + -73. Let u = -20 - p. Calculate the smallest common multiple of u and 33.
33
Let g be -44 - (-4 + (2 - -1)). Let d(o) = -3*o - 7. Let y be d(-31). Let u = y + g. Find the common denominator of 73/9 and u.
9
Let j be 3/(4 - 35/10). Suppose -2*f + 1 = -3*z, j*z - z = 2*f + 5. Let d = 0 - -4. What is the smallest common multiple of d and f?
20
Suppose -35 = -5*w + 25. Calculate the least common multiple of w and 188.
564
Let f = -115370 - -50762867/440. What is the common denominator of f and 47/10?
440
Suppose -5*c - 3476 - 8784 = 4*h, 0 = 2*h - 3*c + 6130. Calculate the common denominator of h/320 - 0 - -8 and 75/8.
64
Let i(g) = 36*g**2 + 76*g - 57. Calculate the lowest common multiple of 27 and i(-6).
783
Let y be (1 + 1297/(-10))/((-90)/(-3390)). Let q = y - -4854. Find the common denominator of q and 38/35.
70
Calculate the common denominator of -81/280 and ((-3355)/8415 + 6/34)/((-140)/39).
840
Suppose -5*g - 1015 = -f, 5*f + 23*g = 19*g + 4930. What is the lowest common multiple of 30 and f?
990
Suppose 7*q - 11*q = -52. Suppose -q*b = -11*b - 168. Suppose o - 4*o = -b. Calculate the common denominator of o and 59/4.
4
What is the common denominator of 19 - 18 - (9/(-7) - -3) and -14/727?
5089
Let q(d) = 11*d - 4. Let i be q(6). Suppose -3*u - 95 - 43 = -4*o, o + 53 = -u. Let v = i + u. What is the least common multiple of 12 and v?
12
What is the common denominator of 37/372 and (2/(-12))/((50/295)/1) + -1?
1860
Let l = -2988 - -3183. Calculate the smallest common multiple of 105 and l.
1365
Find the common denominator of -25/138 and -2 + (-6549)/1242 - (1 + -8).
414
Let l = -157 + 163. Let v(j) = j**3 - 4*j**2 - 2*j. What is the smallest common multiple of 55 and v(l)?
660
Let x = 310911486/1439 - 1682022454536259/7784949708. Let v = 3/5836 + x. Let g = -26251/6489 + v. Calculate the common denominator of g and 1/3.
21
Suppose 4*d = -94*n + 92*n + 928, -5*n = -5*d - 2200. Calculate the least common multiple of n and 280.
2240
Let c be (0 + 2 - 4) + (-5172)/(-10). Let h = -510 + c. Calculate the common denominator of h and 11/53.
265
Let c(o) = -13*o**2 - 2*o + 1. Suppose -16*p + 12 = -22*p. Let i be c(p). Let a = i + 55. What is the lowest common multiple of a and 10?
40
Suppose 6*w = 3*w + 330. Let t(m) = -m**3 - 2*m**2 - 17*m - 28. What is the least common multiple of t(-2) and w?
330
Let x be 260/15 - (-14)/21. Find the common denominator of 35/3 and (x/(-4))/(231/(-88)).
21
Let d(y) = -3*y**3 + 3*y**2 + 8*y + 1. Let c be d(-6). Let m = -601 + c. What is the lowest common multiple of 36 and m?
108
Let b(i) = i**3 + i**2 + 4*i + 2. Let r be b(4). Let h = -66 + r. Let d = -22 + h. What is the smallest common multiple of 5 and d?
10
Let d = -42342850 + 2032318567/48. Suppose 2*a = -93 - 5667. Let k = d - a. Find the common denominator of k and -91/4.
48
Let k = -1538351/65640400 - -104/83725. Calculate the common denominator of -155/3528 and k.
35280
Calculate the common denominator of (1/239)/(-27 - (-14248)/533) and -101/1434.
15774
Let t(p) = 2*p**2 - 59*p - 18. Let j be t(30). Suppose 888 = 62*c + j*c. What is the smallest common multiple of 1/(-1)*(-1 + -145) and c?
876
Let r(a) = -12*a + 16. Let h be r(1). Suppose 7*p - 11*p - h = 0, -3*k = 5*p - 43. Calculate the smallest common multiple of k and 20.
80
What is the common denominator of -111*(-3)/(-9)*(-5)/55 and ((-14)/(-16))/((-22)/(-52))?
44
Let l = -192 - -201. Calculate the smallest common multiple of l and ((-15)/(-6))/(-5) - 61/(-2).
90
Let m(s) = 22*s - 7. Calculate the least common multiple of 47 - 7/((-7)/(-2)) and m(1).
45
Suppose 0 = 7*u + 91 - 322. Calculate the least common multiple of u and 91 + 2/(6 - (-13)/(-2)).
957
Let w be 3 - 4 - (7 + 0). Let h = 1 + 4. Calculate the least common multiple of h and (-6)/w + 1036/112.
10
Suppose l = 79 - 127. What is the least common multiple of 25 and l/(-5) - 21/35 - -1?
50
Let o = -6043 + 876232/145. What is the common denominator of o and -27/205?
5945
Calculate the common denominator of -65/8 and ((-12)/(-10140))/((-21)/(-465)).
9464
Let f = -58379 + 6071485/104. Let k = 16071/4 + -4018. Find the common denominator of k and f.
104
Suppose 2*u - 2*r - 10 = 0, 20 = u - 4*r - 0. Suppose -2*n - 42 = -u*n. Calculate the least common multiple of 12 and n/(-4)*1/((-21)/(-56)).
84
Let s be 14/((0 - 5)/(-3 + -2)). Find the common denominator of (28/80*s)/(-8 + 7) and -65/82.
410
Suppose 2 = -x + 185. Calculate the common denominator of -107/6 and -27*(-8)/16*(-8)/x.
366
Let k be 1641/(-4554) - 9/(-6). Let d = k - -28/69. Let f = 378/11 - 4113/88. What is the common denominator of d and f?
88
Suppose -4*r - 4 - 29 = -d, -3*r - 67 = -4*d. Let t = 27 + d. Calculate the lowest common multiple of 12 and t.
120
Let j = 439 + -428. Let n be ((-325)/(-10) + -5)*(3 + -1). Suppose 12*a - 7*a - n = 0. What is the lowest common multiple of j and a?
11
Let i be (-8)/(-26)*77 + 0/(-35). Let s = 3227/117 - i. Find the common denominator of s and 47/33.
99
Let z(b) = 20*b**2 - 2*b - 3. Let m be z(-5). Let d(g) = 48*g - 57. Let q be d(3). Suppose q - m = -6*u. What is the smallest common multiple of 10 and u?
70
Let n = -891 + 4516/3. Suppose 6758 - 59 = -11*l. Let a = l + n. What is the common denominator of a and -149/6?
6
Let o be (0*(-4)/8*1)/2. Suppose o = 8*d - 13*d + 25. Find the common denominator of (d/(10/(-4)))/((-4)/85) and -89/6.
6
Let o be (273666/16)/(-3) + -1. Let p be 331182/58 - (-226)/(-6554). Let h = o + p. Calculate the common denominator of h and 95/12.
24
Suppose 2*x - 3*h = 10, 0*x - 3*h + 25 = 5*x. Let w = 0 - x. What is the least common multiple of 18 and 2/(w*4/(-80))?
72
Let l = 383/10 - 34/5. Let b = 2017/636 + -1/212. What is the common denominator of l and b?
6
Calculate the common denominator of -81/4450 and ((-66)/12)/((-40)/12*6/(-10)).
8900
What is the common denominator of (-2090)/(-1425)*3/16 and -41/130?
520
Let y(b) = 4*b**2 - 19*b - 8. Let w be y(9). What is the lowest common multiple of (-16)/(-10) - 1 - (-3393)/w and 24?
24
Let s(d) = -37 - d**3 - 28 - 2*d**2 - d + 67. Let l = -10 + 7. Calculate the smallest common multiple of 8 and s(l).
56
Let i = 0 - -3. Let h(c) = 2*c - 2. Let p(k) = -6*k**2 - 10*k + 18. Let t(r) = -6*h(r) - p(r). Calculate the lowest common multiple of t(i) and 22.
462
Let g = 245955/16 - 15367. Let r = 479229/26 + -18434. Calculate the common denominator of g and r.
208
Let r be 18/15*185985/812. Let s = 72/203 - r. Let j = 262 + s. What is the common denominator of 101/4 and j?
4
Let o = -13 - 8. Let m be (-392)/(-21)*((-35)/7 + 2). What is the least common multiple of 21 and (-1041)/o - 1 - m/(-98)?
336
Suppose 3*z + 49190 = 4*z + 5*b, -z + 49190 = 2*b. Let m = -4033517/82 + z. Calculate the common denominator of 25/6 and m.
246
Let n be (-16)/(-5616)*4066/(-4). Let a = -101/54 - n. Let g = 479/78 + a. Calculate the common denominator of g and 42/5.
30
Let w(p) = p**2 - 4*p - 4. Let o be w(6). Suppose 13 - o = 5*c. Calculate the smallest common multiple of 9 and (-42)/(-8) + 1*c/(-4).
45
Let b = 695 + -666. Calculate the lowest common multiple of 457 and b.
13253
Find the common denominator of 95/108 and ((-316)/144)/(8 - -21).
3132
Calculate the common denominato