the lowest common multiple of 256/16 - (r - -1) and 1 + 1 + 32/2.
144
Let f(h) = h**3 - 6*h**2 + 2*h + 2. Let a be f(6). Suppose -3*c = 2*j - c - a, 3*j - 4*c = 0. What is the smallest common multiple of j and 4?
4
Let v = 27/106 + 2239/53. Find the common denominator of v and (-1)/1 + 43/10.
10
Let a = 4335 - 38969/9. Find the common denominator of 5/36 and a.
36
Suppose 305 = 4*z - 55. What is the lowest common multiple of 105 and z?
630
Suppose -419 = -5*m - 19. Let w(k) = -k**2 + 22*k - 104. Calculate the lowest common multiple of m and w(10).
80
Suppose 3*i - 5*b = -2761, 5*i = i - 3*b - 3691. Find the common denominator of -103/12 and i/(-180) - 24/108.
60
Let c(j) = -6*j - 1. Let u be c(-1). Let s = u - -1. Suppose x = -0*x + 8. Calculate the least common multiple of s and x.
24
Suppose 26 = 3*x + x + 2*j, 44 = 4*x - 4*j. Suppose 0 = x*f - 2*f - 36. What is the smallest common multiple of 27 and f?
54
Let m = 773919/44 - 17590. Find the common denominator of m and -1/76.
836
Let d(v) = -881*v - 8. Let a be d(-19). Let q = -2375813/142 + a. Calculate the common denominator of 31/12 and q.
852
Let j be 3*2*(-6)/(-4). Suppose -200*u + 30 = -194*u. Suppose u*n + 4 = j*n. What is the smallest common multiple of n and 9?
9
Let v(m) = -2 - 7*m**3 + 9*m**3 + 3*m**3 - 7*m**3 + 6*m**2. Let u be v(4). Calculate the lowest common multiple of 16 and -1 + (-1)/2*u.
16
Let t(m) = m**3 + 2*m**2 - 4*m - 5. Let v be t(-3). Find the common denominator of 53/7 and 2360/(-896) - (v + -1).
112
Let d(j) = 269*j - 3. Let i be d(-2). Let n = -23803/44 - i. What is the common denominator of n and 5/3?
132
Suppose -95*a + 110*a - 240 = 0. Let z(x) = -x**2 + 8*x - 8. Let d be z(6). Suppose -d*j + 16 = -3*j. Calculate the smallest common multiple of j and a.
16
Let m be (3/(-78))/((-71)/4). Let u be 487632/416*2/(-639). Let o = u + m. Find the common denominator of 45/2 and o.
6
Let b be ((-42)/1)/((-2)/(-163)). Let u = -1683 - b. What is the common denominator of (2/(-20))/((-16)/u) and 27/8?
8
Let x = -294 - -470. What is the common denominator of -29/4 and -27*68/x + (-6)/(-33)?
4
Let s = 48395 - 2419657/50. What is the common denominator of 73/10 and s?
50
Let x = 509/124 - -7/155. What is the common denominator of x and 2 + 3 + (-396)/136?
340
Let o be 128411*-1*(-1)/12088. Let z = -63128072/1511 + 41779. Let d = o - z. What is the common denominator of d and -39/2?
8
Let a = 909 - 893. What is the smallest common multiple of 304 and a?
304
Let h = -10329017/1162 + 8889. Let y = h + 6680/1743. Calculate the common denominator of -127/6 and y.
6
Suppose -z + y + 14 - 9 = 0, 3*y = 9. Calculate the lowest common multiple of z and 85.
680
Let a(w) = -3*w - 7. Let s(c) = -c**2 - 22*c - 23. Suppose 4*o - 8 = 0, 2*b + 53 = -b - 2*o. Calculate the lowest common multiple of s(b) and a(-5).
136
Find the common denominator of ((-108)/(-20) + -5)/(40/535) and -39/50.
100
Let g(z) = -z**3. Let x be g(-1). Let v be x + (-80 - (-3)/3). What is the smallest common multiple of v/(-8) - (-1)/4 and 5?
10
Let c(a) = -a + 8. Let u be c(6). Suppose 3*b + 49 = 4*d - 48, 2*d = u*b + 50. Calculate the smallest common multiple of 22 and d.
22
Suppose 7*d = -3*c + 4*d + 30, -3*d + 12 = 0. Let x = -63331/48 - -3976/3. What is the common denominator of x and 0 + 1 - 157/c?
48
Calculate the common denominator of 62/15 and 303/15*3/6.
30
What is the common denominator of -3 - (-26)/45*40/6 and 10/63?
189
Let w(q) = -q**3 + 4*q**2 - 2*q. Let x be w(3). Let c(z) = 17*z + 44. Calculate the smallest common multiple of c(-2) and -2 + x + (1 - -1).
30
Let h(u) = -13*u**3 - 20*u**2 - 4*u - 7. What is the smallest common multiple of 96 and h(-3)?
1056
Let y(a) = -3*a**3 + 6*a**2 + 7*a + 10. Let m be y(6). Let h = -11373/5 - -2264. Find the common denominator of h and (7/(-12))/(10/m).
30
Let b = -887 + 965. What is the smallest common multiple of 22 and b?
858
Suppose l + 0*l - 40 = 0. Calculate the least common multiple of l and 35.
280
Suppose -5*b - 42 = 4*r - 251, -b + 53 = -2*r. Calculate the common denominator of 2 + b/(-20) - 1 and (99/(-60))/3*2.
20
Calculate the common denominator of (-1062)/144 - (-4)/(-3)*-3 and -11/12.
24
Find the common denominator of 29/6 and (-1168)/510 + 13/(-13) - -3.
510
What is the smallest common multiple of 30 and (108/180)/((-1)/(-230))?
690
Calculate the common denominator of -23/84 and (21 - 20) + (-141)/108.
252
Suppose 5*z + 123 = 4*f - 491, -8 = 4*z. Let b = -93 + f. What is the lowest common multiple of b and 12?
348
Let m(j) be the third derivative of j**4/6 - 7*j**3 + 30*j**2. Calculate the least common multiple of m(18) and 3.
30
Let w be ((-6)/(-4))/(6/40). Let c(t) = t**3 + 5*t**2. What is the smallest common multiple of (w - 0) + 6/3 and c(-4)?
48
Let l = -1672997566 - -25653744647159/15334. Let z = l - -7/902. Calculate the common denominator of -35/9 and z.
153
Let w = 47 + -23. Calculate the smallest common multiple of w/(-18)*9*1/(-4) and 3.
3
Let r(t) = -6*t - 1. Let x be r(-2). Suppose -4*z + 3*z - 37 = 3*u, x = -u - z. Let q = u - -25. Calculate the lowest common multiple of 8 and q.
24
Let c = -18 + 28. Calculate the least common multiple of 52 and c*(-24)/(-42)*14/4.
260
Let u = -705 + 2751/4. Let w = -13/16642 - -52106193/116494. Let t = 443 - w. What is the common denominator of t and u?
28
Let y be 4 - (-9)/(-74)*-6. Let g = -1919/666 - y. Calculate the common denominator of -13/12 and g.
36
Let m be -10279 - (0 + (-1 - -5)). Let n = 143881/14 + m. Calculate the common denominator of -47/28 and n.
28
Suppose -19*h + 235 = -14*h + u, 0 = -2*h + 2*u + 82. Calculate the lowest common multiple of h and 46.
46
Let y be ((-2174)/10 + (0 - 0))/12. Let o = -19/30 + y. Find the common denominator of o and 47/9.
36
Let k = 261 + 12. Suppose 3*z - 5*z = 2, 3*z - k = -4*f. What is the least common multiple of 18 and 3*f/9 + -1?
198
Let x = 10 - 12. Calculate the common denominator of -13/12 and (x + 0)*184/(-160).
60
Let g = -854201/17 + 50262. Let x = 4023/340 - g. Calculate the common denominator of x and 13/30.
60
Suppose 9*m - 11*m = -36. Calculate the lowest common multiple of m and 177.
1062
Find the common denominator of (-10 - 432/(-45))/((-48)/74) and 71/32.
480
Let b(l) = -l**2 - 7*l - 9. Let q be b(-6). Let i(r) = r**3 + 2*r**2 - 3*r + 2. Let o be i(q). Calculate the least common multiple of (5 + -4)/(o/4) and 7.
14
Let h(z) = -z**3 + 16*z**2 + 14*z + 25. Let u be h(17). Let i = 28 + u. Let r(n) = -6*n. What is the smallest common multiple of r(-1) and i?
6
Let w be (-2)/1 - 63710/(-24). Let l = -2649 + w. What is the common denominator of 35/12 and l?
12
Suppose -1 = 3*a - 13. Let y be (-2)/(-4) + 2/4. What is the least common multiple of a and (0 + y - -1) + 0?
4
Suppose -2*h = -11 + 1. Suppose -h*c + 66 = -2*c. Calculate the lowest common multiple of 14 and c.
154
Suppose -s + 28 = 24. What is the common denominator of -95/2 and (10/(-120))/(s/(-342))?
8
Suppose 3*g + 1857 + 153 = -3*q, 3*g - 2*q = -1995. Let f = -2583/4 - g. Find the common denominator of f and -23/20.
20
Suppose 3*m + 4 = 10. Suppose 5*t + 12 = m*t. Find the common denominator of -4/9 and (-38)/(-4) - t/(-10).
90
Let z = -22 - 8. Find the common denominator of (z/9)/((-16)/57) and 4 + -6 + (-35)/(-12).
24
Let p(q) = q**3 + 6*q**2 + 4*q - 3. Let c be p(-5). Suppose -8*x + 42 = -c*x. Calculate the least common multiple of 39 and x.
273
Let v = 19 + -16. Suppose -v*j - 4*a = 10, 0*a + 2*a + 4 = -2*j. What is the smallest common multiple of j and 4?
4
Calculate the common denominator of -47/28 and (-2 - 22/(-8))/(-15).
140
Let o = -807 - -8885/11. What is the common denominator of 69/65 and o?
715
Let g be 4/2 - 1054/523. Let y = -201676081031/51840743240 - -54/12390235. Let z = y - g. Find the common denominator of z and 55/3.
24
Suppose -12*p + 36 = 12. Calculate the least common multiple of p and 8.
8
Let i(y) = 4*y - 3. Let l be i(2). Let x(o) = o**2 - 5*o + 1. Let m be x(l). Find the common denominator of (705/(-10))/(m*6) and 55/6.
12
Let b be -3 - (-6 + (-9)/(-3)). Suppose -2*y + 24 = -t, 3*t = -4*y - b*y + 38. What is the lowest common multiple of y and 5/5*(-1 + 2)?
11
Suppose -r = -1, 4*z + 2*r - 1104562 = -3440812. Let y = -5860797/10 - z. Let n = 2019 +