lculate the common denominator of 43/10 and y.
20
Let a = 83189/12 + -6944. Suppose -2*k - 5*l = 9 - 69, -3*l = -12. Calculate the common denominator of a and (-45)/30 + 278/k.
60
Suppose -5*f + 4*n + 1118 = -0*n, f + 5*n - 241 = 0. What is the least common multiple of 32 and f?
3616
Let a = 203/8 + -509/24. Let j be (174/8964)/((-2)/(-1542)). Let i = j + -94/83. Find the common denominator of a and i.
6
Let d(p) = p**2 - 2*p - 2. Calculate the smallest common multiple of d(-4) and ((-88)/6)/(7975/(-34800)).
704
Let c = -10 + 40. Suppose 2*r - c = -5*g, 4*g - 31 = -r - 2*r. What is the least common multiple of g/10*9/((-18)/(-20)) and 11?
44
Suppose 3*j + 15 = 0, 4*j + 39 - 982 = 3*n. Let h = -974/3 - n. Find the common denominator of -58/7 and h.
21
Suppose -146*u = -299*u + 142*u + 528. What is the smallest common multiple of u and 62?
1488
Let p = -125647/16228 + -30/4057. What is the common denominator of 77/2140 and p?
2140
Let b be ((-12)/18)/((-12)/(-90)). Let t(i) = 3*i + 1. Calculate the smallest common multiple of t(5) and ((-8)/b)/((-30)/(-375)).
80
Let w(k) = -k**3 + 21*k**2 + 12*k - 196. What is the lowest common multiple of w(20) and 111?
444
Let r be -3 + (2 - -2) - -3*2. Suppose 13 = r*x - 29. What is the common denominator of x and (2/28)/(2/36)?
7
Let c(f) = 2*f**2 - f + 3. Suppose 2*q = -5*d - 2989, 0*d + 5*q + 2980 = -5*d. Let t = 607 + d. Calculate the lowest common multiple of t and c(-3).
24
Suppose -36 = -62*i + 71*i. Calculate the least common multiple of (192/42 + i)*84 and 32.
96
Suppose 32*r = 30*r - n + 49, 4*n = 4. What is the lowest common multiple of r and 1881?
15048
Suppose 12*f - 12 = -2*g + 10*f, -3*g + 5*f = -42. Calculate the common denominator of (-57)/16 - (-8 + g + -6) and 89/2.
16
Let k(z) = -z**3 - 46*z**2 - 59*z - 360. Calculate the least common multiple of 1140 and k(-45).
10260
Let k(a) = -12*a + 45. Let o be k(-17). Let r = o + -243. What is the least common multiple of (10/(-3))/(2/(-12)) and r?
60
Suppose -4*u - 760 = -5*l, 2*u - 4*l = -3*l - 374. Let j = u + 211. What is the least common multiple of j and 12?
156
Let t(m) = 9*m**2 + 883*m + 116. Suppose -4*l + 84 - 12 = 0. Calculate the lowest common multiple of t(-98) and l.
18
Let m be (-272674)/60 + (-16)/8. Let w = -4547 - m. Find the common denominator of w and -137/108.
540
Suppose -537920 = -212*h + 1019856. What is the smallest common multiple of 14 and h?
51436
Let j = -31701/20 - -1588. Let b = -9376936181/32890 - -3706310/13. Let n = b + 1/115. Find the common denominator of j and n.
220
Suppose -11*n - 56 = -7*n. Let f = n + 18. Suppose f*h - 18 = h. Calculate the lowest common multiple of h and 9.
18
Suppose 50*h - 3126 = -4026. Let l = 25732 - 1286533/50. Find the common denominator of l and h.
50
Calculate the lowest common multiple of 54 and -5*(-5)/(-10)*-6.
270
Let o = -4041 + 24331/6. Let k be (-514664)/(-192) + (-1)/(6/4). Let i = k + -2671. Find the common denominator of o and i.
24
Suppose 8*t - 314*t = -51408. Calculate the lowest common multiple of t and 171.
9576
Let r be (-4)/(-6)*207/46. Let q = 16717 + -501683/30. What is the common denominator of r - (2 - -4*(-15)/(-99)) and q?
330
Let w = 338 - 630. Find the common denominator of (w/(-8))/(-15*(-12)/8) and -127/36.
180
Suppose u = -g + 19, 0 = -3*u - 5*g + 40 + 3. Calculate the least common multiple of u and 1682.
21866
Let v(u) = -5*u - 2. Let z be 3*(1 - 13 - -3). Let y = 45 + z. Calculate the least common multiple of v(-4) and y.
18
Let o = 49/2 + -305/12. What is the common denominator of o and 1/320*-1212 - 1*-5?
240
Let k be ((-21)/18)/(1/(-6)). Suppose -4 = 5*c - k*c. Suppose 11*r - 16*r + 130 = 0. What is the smallest common multiple of c and r?
26
Let f(w) = w**2 - 2. Let q be f(3). Suppose -q*r = r - 64. Suppose 19*a = 21*a - r. What is the smallest common multiple of 20 and a?
20
Let h = 803 + -7222/9. Let w be 3/3 + -594 - 0. Let g = 1847/3 + w. Find the common denominator of g and h.
9
Suppose o = -4*r - 14, -3*o + 521*r - 14 = 526*r. Calculate the smallest common multiple of o and 1044.
1044
Suppose -o = -0*n + 4*n - 85, -4*o = 4*n - 88. What is the common denominator of n/(-5) + -2 + 4 - -4 and -87/8?
40
Let m = -41116/41675 + -2/25005. What is the common denominator of 86/(-48) - 9/(-6) and m?
600
Let z = 3255 + 378. Calculate the lowest common multiple of 6 and z.
7266
Suppose 5*q - 19 = 2*x, -3*x + 0 = 4*q - 6. Calculate the lowest common multiple of q and -61*(9 - (-4 + 14)).
183
Let s(l) = 2*l**2 - 11*l + 5. Let p be s(8). Let v = 50 - p. Suppose 0*r = -2*r + 4*w + 18, 0 = r - v*w. What is the lowest common multiple of 1 and r?
15
Let m be 260/104 + 5/(-2) + 1. What is the common denominator of m - (-12)/(-3) - 7644/(-2240) and -27/32?
160
Calculate the common denominator of ((-7762)/(-924) - 8) + ((-3)/7)/3 and 5/66.
66
Let u = -1312 - -1795. Calculate the lowest common multiple of 84 and u.
1932
Let i be ((-26)/10 - 1)*(-11 - -1). Find the common denominator of 3 + i/(-16) - (-225)/84 and -1/6.
42
Let l(i) = 129*i - 8. Let g be l(3). Let x = 389 - g. What is the smallest common multiple of x and 26?
130
Suppose 5*o + 3*h = -19, -o + 2*h = 2*o. Calculate the common denominator of (-133)/(-14) + (2 - -1) and (-20)/112 + -1 - (-3 - o).
28
Let m = 8 - 2. Let r(v) = 6*v**2 - 4*v - 4. Let y be r(4). Let b = 79 - y. What is the least common multiple of b and m?
6
Let t(c) = -10*c + 78. Let m be t(8). Find the common denominator of (282/(-1728))/(m - (-5)/2) and 13/6.
144
Suppose 7464 - 31164 = 6*a. What is the least common multiple of 2 and a/15*(-54)/45?
316
Let y = 116724377/328 + -2859713/8. Let i = -1597 - y. Let m = -815/6 - -239/2. Calculate the common denominator of m and i.
123
Let p = -164 + 162. Let j = 145/12 + p. Find the common denominator of j and (-6)/27 + (-1342)/(-1260).
420
Let m = 5594/1031 + -8440721/1515570. Calculate the common denominator of 71/630 and m.
4410
Let f(j) = 1 + 3*j - j**3 + 2*j**3 - 2*j**3 - 15*j + 9*j**2. Suppose -i + 8 = i, 0 = -4*s + 5*i - 4. Calculate the smallest common multiple of s and f(7).
60
Suppose -5*j + 4 - 14 = 0. Let q be (j/(-6))/(7/(-21)). Calculate the common denominator of -1/5 and 51*(q + (-48)/(-47)).
235
Let g(r) = 2*r**2 + r + 3. Let d be ((-19)/((-665)/1736))/((-1)/(-5)). Let x = -245 + d. Calculate the least common multiple of g(-3) and x.
18
Let c(q) = 2*q**2 + 165*q + 460. Calculate the least common multiple of 515 and c(-80).
6180
Calculate the smallest common multiple of 648 and (165/33)/(-1 - (0 - 2)).
3240
Let s(t) = -t**3 - 18*t**2 + 12*t + 36. Let u be s(-19). Suppose u*f = 176*f - 28. What is the least common multiple of 32 and f?
32
Suppose 22*p + 35400 = 140*p. Calculate the least common multiple of 300 and p.
300
Let h(l) = -2*l**2 - 20*l - 38. What is the least common multiple of h(-6) and 1623?
16230
Let a(x) = 91*x**3 + 2*x**2 - 3. Let m be a(1). Suppose 2*l - m - 8 = 0. Calculate the lowest common multiple of l and 56.
392
Let l = 139 + -183. Calculate the common denominator of -3 - 4/l*10 and 13/149.
1639
Let a = 23534 + -23528. What is the least common multiple of a and 24?
24
Let n(x) = -5*x**2 - 19*x - 66. Let r be n(-4). Calculate the common denominator of -109/28 and (25/(-4))/(r/(-30)).
28
Let g(i) = 59*i + 185. Let l be g(-3). Suppose -j = -4*j. Suppose j = l*f - 6*f - 8. Calculate the smallest common multiple of f and 2.
4
Suppose -3*o - 3*i = -9699, 0*o = -o + 5*i + 3263. Let c = o + -35584/11. Calculate the common denominator of -3 + (-2 - 10/(-16)) and c.
88
Let i = -1398/97 - -2533045/176152. Find the common denominator of i and -87/1816.
1816
Let f = 52098 + -52044. Suppose -3*p + 216 = 4*l + l, 2*l - p = 82. What is the least common multiple of f and l?
378
Suppose 19 + 1 = 4*x. Suppose 5*t = 10, -8*k = -6*k - 3*t - 4. Calculate the least common multiple of k and x.
5
Let f = 810/433 - 659557/327348. Let a = 14353840/1656213 + 2/552071. What is the common denominator of a and f?
756
Let m = 95 - 73. Suppose -23*s + 164 = -m*s. Calculate the smallest common multiple of 16 and s.
656
Let c(i) = 38*i**2 + i + 1. Let x be c(1). Suppose 0 = 5*b - 10*b + x. Suppose -2*g + 120 = b*g. Calculate the lowest common multiple of g and 118.
708
Let u(t) = -t**3 - 44*t