the common denominator of 838/t + (-20)/(-45) and 55/24?
24
Suppose 10*o - 5*o - 3*i = 483, -4*o = 2*i - 382. What is the smallest common multiple of o and 32?
96
Let i be (1*-821)/((-1)/2). Let n = -16527/10 + i. Let l = 51/22 - 115/154. What is the common denominator of n and l?
70
Let q = -10 - -13. Suppose -12 = -q*o - 0*o. Let u(f) = -f**2 + f + 10. What is the smallest common multiple of u(0) and o?
20
Let b = 6574 + -28507/4. Let i = 549 + b. Calculate the common denominator of -71/68 and i.
68
Let r = 7530853823/9 - 26034161465551/31113. Let f = 6/3457 - r. What is the common denominator of (-85)/4*42/(-75) and f?
90
Let k be (-161)/(-5) - 7/35. Let i = 50 - k. Calculate the smallest common multiple of i and 18.
18
Suppose 5*z + 4*v = 45, 19 + 11 = 4*z + 2*v. What is the lowest common multiple of z and 72?
360
Let q = 285497/27 + -10576. Find the common denominator of q and (-244)/(-6)*(-2)/(-4).
27
Suppose 0 = -27*x + 131 - 23. What is the least common multiple of x and (-400)/(-18) + (-2)/9?
44
Suppose -108*a + 2840 + 6664 = 0. Calculate the lowest common multiple of a and 396.
792
Let t be -9 - (((-16)/2 - -3) + 2). Let r(c) = c**2 + 6*c + 10. What is the smallest common multiple of r(t) and 68?
340
Let d = -41 + 316/9. Calculate the common denominator of 37/((-6)/((-3)/(-1))) and d.
18
Let m = 170 + -110. Let z = -9988 - -120001/12. Calculate the common denominator of 4 + 3/(m/(-19)) and z.
60
Let t = 26167/8 + -3277. Let w = 203/20 - 853/70. Calculate the common denominator of w and t.
56
Let f = -9732 - -632561/65. Let a = -3727/520 - f. Find the common denominator of a and 73/22.
88
Let j(m) = 20*m**2 - 10*m + 10. What is the smallest common multiple of 8 and j(1)?
40
Let x(t) = 2 + 3*t + 1 - 16 + t**2 + 2. Calculate the lowest common multiple of x(-6) and 8.
56
Let a = 23 - 185/8. Calculate the common denominator of a and 79/90.
360
What is the least common multiple of ((-948)/5)/(-3) - (-58)/(-290) and 21?
63
Suppose -4*g - 69 = 15. Let b(y) = -y**3 + 4*y**2 + 8*y + 5. What is the lowest common multiple of b(5) and (-4)/8 - g/2?
20
Let n = 19/560 + -683/2800. Let a = 5761/900 - n. What is the common denominator of (-10)/(0 + (-56)/10) and a?
126
Let t(o) = -o**3 + 5*o**2 + 3*o - 2. Let v be t(4). Let b = -17 + v. Let m(s) = -15*s - 9. What is the lowest common multiple of m(-1) and b?
18
Suppose -3*i + 7 = -8. Suppose i*r = 8*r - 30. What is the smallest common multiple of 20 and ((-72)/(-21))/(r/35)?
60
Suppose 116 = 4*u + 4*l, 4*l - 8*l = -16. What is the lowest common multiple of 55 and u?
275
Suppose 0 = -20*k + 122 + 4638. What is the lowest common multiple of 56 and k?
952
Let i be 20/6*(-118 + 7). Let f = -1906/5 - i. Find the common denominator of 6/7 and f.
35
Let a be (-4)/18 + (-141)/(-27). Suppose 3*l - a*l + 22 = 0. Calculate the lowest common multiple of 3 and l.
33
Let v = 10 - 9. What is the common denominator of (4/(-10))/((-12)/370*v) and -49/30?
30
Let c = 7537/7 - 1083. What is the common denominator of (-33)/(-18) + -1 - -2 and c?
42
Let b = 3 - -1. Suppose c + 29 = b*c + 5*l, 0 = -2*c + l + 28. Suppose 18 = -14*t + 32*t. Calculate the least common multiple of c and t.
13
Let c be (54 + 0/(-1))/11689. Let z = -5235833/2711848 - c. Let k = z - 20/29. What is the common denominator of 1/3 and k?
24
Calculate the common denominator of ((-249)/5)/(-3)*(-20)/(-312) and -37/54.
702
Let i = -4/2271 - -25491/3028. Find the common denominator of i and 39/(-20) - (3 + -2).
60
Let u = 471 + -459. What is the lowest common multiple of 75/(2 + -1) + -3 and u?
72
Suppose -2*f - 16*q + 57 = -11*q, 3*f - 2*q = 38. What is the least common multiple of 764 and f?
3056
Calculate the lowest common multiple of 471*(10 - (1 - -8)) and 3.
471
Let j = 14 - -23. Let y = j + -20. Suppose 5 = -2*h + y. Calculate the lowest common multiple of h and 2.
6
Let d = 1638 + -44. Let q = d - 14282/9. What is the common denominator of -3/2 and q?
18
Let v = -252 - -262. Let i(j) = 2*j**2 - 2*j + 6. Let l be i(7). Calculate the smallest common multiple of (2/(-5))/((-3)/l) and v.
60
Let x(p) = 2*p**3 - 65*p**2 + 31*p + 43. What is the lowest common multiple of 62 and x(32)?
682
Suppose 3*y = 2 + 1, -3*d = -3*y + 33. Calculate the common denominator of 2 + 1/5 + (-6)/80 and (29/d - -2) + -2.
40
Suppose 0 = -2*n + w + 10, 40*n = 43*n + 3*w + 3. Calculate the smallest common multiple of n and ((-18)/8)/((-6)/32).
12
Let d(z) = -6*z**2 - 172*z - 40. What is the smallest common multiple of d(-28) and 64?
576
Let y(d) = d**2 + 3*d - 2. Let i be (-6)/(-9) - 5/(-15). Let h be y(i). What is the common denominator of -73/24 and (-10)/(-16) + (h - -1)?
24
Let t be (3 + 7/(-2))*-4. Let h be t + (-6)/(-9)*-3. Let f = h + 4. What is the lowest common multiple of 20 and f?
20
Suppose 0 = -2*x - 3*q + 66 + 77, 3*q = 2*x - 137. Calculate the lowest common multiple of 52 and x.
1820
Let u = 108288541503/169241710 - 24/1538561. Let l = 101279771/159295 + -2/31859. Let j = u - l. What is the common denominator of j and -5/2?
22
Suppose -3*g - 96 = 2*q - 230, 0 = 3*g - 5*q - 169. Calculate the smallest common multiple of (62 - 2)/2*2/3 and g.
240
Let j(q) = 2*q**3 + 2. Let t be 2 - ((-22)/33)/(1/(-3)). What is the smallest common multiple of j(t) and 12?
12
Suppose -3*p - 83 = 2*z, 4*p + 17 - 64 = z. Let x = z - -61. Let l(b) = 6*b + 32. Calculate the least common multiple of x and l(-3).
126
Calculate the smallest common multiple of 84 and 60/(-5) - (-7 + -14).
252
Suppose 0 = 5*c + 10, 0 = p - 5*c + 16134 + 2610. Let m be (-825514)/(-44) - 0 - 3. Let u = p + m. Find the common denominator of 89/22 and u.
22
Suppose 2*x - 3 = 7. Let y(d) = -d**3 + 3*d**2 + 2*d + 3. Let t be y(x). Calculate the common denominator of -1 + t*(-12)/64 and -37/2.
16
Suppose -4*g = -3*g - 12. Let x = -12 + g. Let s(k) = -k + 8. What is the least common multiple of 20 and s(x)?
40
Suppose -5*g + 20 = -10. Suppose 5*y + 3*i + g - 78 = 0, 4*y - 44 = i. Calculate the lowest common multiple of y and 18.
36
Let c = 86 - 59. Suppose -5*d = -3*p - 119, -5*d - c = -2. Find the common denominator of 119/10 and (90/p)/((-9)/68).
30
Let u = 1411621/176 + -175695/16. Let w = -2963 - u. What is the common denominator of 97/4 and w?
44
Let x = 8 + -6. Suppose -5*n + 4*v - 408 = -118, 2*v = -5*n - 290. Let w = n - -60. Calculate the lowest common multiple of w and x.
2
Let f be 396/14 - 4/14. What is the common denominator of (-7)/(f/(-128)) - 2 and 63/2?
2
Let c(u) = -u**2 - 5*u + 7. Let i be c(-5). Suppose -i - 4 = -p. Suppose -4*j = -p - 45. What is the smallest common multiple of 8 and j?
56
Let l be 2 + (-3 + 5)*1. Suppose 3*d - 57 = -n, -6 = -4*d - l*n + 78. What is the lowest common multiple of 12 and d?
36
Let z be -12 + 9 + -2 + -5*3. Calculate the common denominator of (-4)/10 - (-1146)/140 and 18/z*(7 - (-1)/(-2)).
140
Suppose -y + 5*w = 3*y - 44, -4*y - 2*w + 16 = 0. Let c = -36 + 56. What is the smallest common multiple of c and y?
60
Let x(t) = 58*t - 2. Let o be x(-1). What is the least common multiple of o/(-4) + 0 - (-3 - -2) and 16?
16
Let h = -651 - -798. Calculate the least common multiple of 12 and h.
588
Calculate the common denominator of -24/143 and (1 - -19)*(657/156 + -4).
143
Let f be (-2)/11 - 175/(-55). Suppose -17 + 5 = -f*i. What is the lowest common multiple of i and 18?
36
Suppose -103*l = -115*l + 7056. Calculate the lowest common multiple of 10 and l.
2940
Let u be -3 + 7/((-28)/(-24)). Suppose u*n - n = 0. Suppose m + m + y - 20 = n, 24 = 2*m + 2*y. What is the lowest common multiple of m and 1?
8
Let v = 248/63 - 19/7. Let l be 5/25 - (-222)/(-10). Find the common denominator of v and ((-6)/(-30))/(2/l).
45
Find the common denominator of 15/44 and (42/2520)/(4/(-486)).
440
Let a(l) = l**3 + 5*l**2 - 9*l + 2. Let x be 140/(-24) + (-4)/24. Suppose f - 2*f = -10. Calculate the least common multiple of a(x) and f.
20
Let k(x) = -2*x**3 - 16*x**2 + 3*x + 35. What is the smallest common multiple of k(-9) and 306?
1530
Calculate the least common multiple of 1/((-2)/(-12))*(76 - 72) and 20.
120
Let d = -446/247 + 28/247. Let l = d + -881/286. Find the common denominator of l and -87/20.
220
Let v(k) = k - 11. Let a be v(11). Suppose -z + 6 + 4 = a. What is the least 