4
Let r = -43 + 95. Let x = r - 8. What is the lowest common multiple of 12 and x?
132
Suppose 3*x + 4*v - 16 = -2*x, 4*v + 16 = 3*x. Suppose -x*m + 19 = -5. What is the smallest common multiple of 12 and m?
12
Let f = -2/15871 - -1571237/63484. What is the common denominator of f and 67/3?
12
Suppose -11 = -5*x - 4*n, -4*x = -n - 4*n + 24. Let d be (3 - 4)/(x/(-3022)). Let v = d - -36209/12. What is the common denominator of v and 97/18?
36
Let j = 4521/7 - 654. What is the common denominator of j and (-25)/2*2/3?
21
Suppose -2603 = -4*t - 18551. Let v(b) = 4*b**3 + 6*b**2 - 3*b + 5. Let o be v(-5). What is the common denominator of (-6)/33 + t/o and 21/8?
40
Let y = 0 - 4. Let x(b) = -b**2 - 23*b - 43. Find the common denominator of (-18)/y - (1 + -1) and x(-19).
2
Let y be (-10)/(-4)*18/15. Let t(w) = -3*w**y + 4*w**3 + 6*w**3 - 1. What is the least common multiple of 6 and t(1)?
6
Let f = 0 + -13. Calculate the smallest common multiple of 10/65 - 141/f and 10.
110
Let z = 238/55 + -5/22. What is the common denominator of z and 1/10 + 4/(-2)?
10
Suppose a - 115 = 5*t, -19 = t - 2*a + a. Calculate the common denominator of 15/2 and (-2)/(-12) - t/45.
10
Find the common denominator of -51/20 and (3/12)/(18/(-344)).
180
Suppose 2*m = -2*r + 16, 3*r + 8*m - 24 = 4*m. Let w = r - 4. Calculate the least common multiple of w and 6.
12
Let r(q) = 5*q**3 - q**2 + q. Let m be r(1). Calculate the common denominator of (-2 - 82/(-40))*1 and (111/(-20))/((-12)/m).
80
Find the common denominator of 42 and 1 + 219*2/60.
10
Let p be 8*1*2/(-4). Let c = p - -10. What is the lowest common multiple of 20 and c?
60
Let d = -4 + 7. Suppose 21 = d*c - 15. What is the lowest common multiple of c and 20?
60
Suppose 3*m = 6 - 3. Suppose -4*x + 0 - m = c, -2 = 4*x + 2*c. Find the common denominator of -68/3 and x/3 + (-129)/(-21).
21
Let u = -5 - -4. Let q be (5 + -2)*u/(-1). Suppose 5*d + q*y - 93 = 0, 5*d - y - 88 = y. What is the smallest common multiple of d and 12?
36
Suppose 2 + 12 = w. Suppose -3*l + w = -0*l + 4*o, -3*o - 15 = -2*l. Calculate the common denominator of l and 30/7.
7
Let q(u) = 4*u**2 + 64*u + 10. What is the smallest common multiple of -6*(0 - (4 - 2)) and q(-16)?
60
Let z be -1 + -2 + 0 + 15. Suppose 3 = 3*l + z, 2*b - 2*l - 6 = 0. Let m = 2 - b. What is the lowest common multiple of 22 and m?
22
Suppose -2*t = -6*t - 4, -5*t + 3 = 4*n. What is the least common multiple of n and 22?
22
Let m be (10/(-18))/(13364/549246). Let h = -2/3341 + m. Calculate the common denominator of h and 49/16.
48
Let h(t) = t - 1. Let q be h(-3). Find the common denominator of 23*(-3)/24*q and 133/18.
18
Let i = 1125038/45 - 25002. Let s = 4/9 - i. Let h(b) = 6*b - 5. Calculate the common denominator of s and h(-7).
5
Let g = -8055/1021 - -18950603/112310. Let n = -124203/814 - -31/814. Let m = n + g. What is the common denominator of m and -29/12?
60
Suppose 1 + 2 = -3*c. Let f(g) = -g**3 + 2*g**2 + g. Let y be f(c). What is the common denominator of y/4*(-3)/(-9) and 133/6?
6
Let w = -8 + 24. Calculate the smallest common multiple of w and 36.
144
Suppose -16 = 3*k - k. Let r(l) = 10*l**2 - 2*l. Let x be r(-1). Let b = k + x. What is the smallest common multiple of b and 5?
20
Suppose 3*x - 5*v + 48 = -x, 0 = -2*v + 8. Let r = -2 - 6. Calculate the common denominator of -34/3 and (2/x)/(r/(-92)).
21
Let b = 10 + 4. Let t be b/6 + 4/6. Suppose -3*c = 3*f - 12, -2*c + 4 = -t*f - 29. What is the smallest common multiple of c and 10?
90
Let t(z) = z. Let d be t(3). What is the common denominator of -151/6 and d + 97/(-2) - 3?
6
What is the common denominator of (15/4 + 1)*2 and -18/11?
22
Let k(y) = -6*y + 4*y + 4*y - 2. Let p(w) = w + 3. What is the smallest common multiple of p(-2) and k(2)?
2
Suppose -5*q + 0 = 10, 3*j + q - 22 = 0. Let v(f) = f + 2. Let b = -2 - -2. What is the smallest common multiple of j and v(b)?
8
Let x = 2 - -3. Let h(c) = -c**3 + c**2 + 2*c + 1. Let b be h(2). Suppose x*j - 19 = b. Calculate the least common multiple of 4 and j.
4
Let x = 10 - 31. Find the common denominator of x and -25/9.
9
Let u = 5 - -5. Let h(o) = -o - 1. Let l be h(-4). Suppose j - 80 = -l*j. Calculate the smallest common multiple of u and j.
20
What is the common denominator of (588/20 + 7)*(-1)/8 and 57/22?
220
Let c(a) = -a**2 + 9*a - 4. Suppose 0 = -8*q + 4*q - 4, 5*q = -3*i + 4. What is the lowest common multiple of c(8) and 2/i*(-60)/(-8)?
20
Suppose -5*y + 100 + 0 = 0. Suppose 13 = 4*o + 3*k - 13, -o = 5*k - 15. Suppose 3*s - 25 = o. Calculate the least common multiple of y and s.
20
Let n(x) = x**3 - 5*x**2 - 6*x + 3. Let b be n(6). Suppose b*a = 2*a - 6. Find the common denominator of -21/5 and 27/14*(a + 2).
35
Let n be (-156)/15 + (-4)/(-10). Let w be 852/n*(-10)/(-25). Let c = w + 3293/100. What is the common denominator of c and 37/22?
220
Let c = -142265/11694 - 2/1949. Find the common denominator of ((-303)/2)/(-20 - -5) and c.
30
Let g = 1/241 + -35927/4338. Find the common denominator of g and 57/14.
126
Let i = 1/524 - 1507/262. Find the common denominator of 57/4 and i.
4
Calculate the lowest common multiple of 14/2 - (2 - 3) and 6.
24
Suppose 2*m - 7 - 1 = 0. Calculate the least common multiple of m and 32.
32
Let j(s) = 2*s**3 + s**2 - 1. Let m be j(1). Find the common denominator of 5/(-2)*(m - -17) and 83/2.
2
Let v(h) = h**3 - 7*h**2 - 15*h - 12. Calculate the lowest common multiple of 10 and v(9).
30
Let j = 237958/54527 - 2/4957. Find the common denominator of -9/5 and j.
55
Let y(g) = 109*g**3 - 2*g**2 + 2*g - 3. Let h be y(3). Let z = -140485/48 + h. Find the common denominator of 37/10 and z.
240
Suppose 0*i = 3*i + 9. Let y be i/(-9)*(5232 - -1). Let f = y + -1767. Find the common denominator of 26/7 and f.
21
Let y = -23/12 + 1129/564. Let u = y + -4309/376. Find the common denominator of -8 and u.
8
Let k be (-6)/(-4)*(-3272)/(-6). Calculate the common denominator of (-25)/(-4)*63/(-105) and (-2)/10 + k/40.
4
Let f = 10301/2254 + -323/49. Find the common denominator of f and -67/20.
460
Let j(d) = d**2 + 4*d + 6. Let m(o) = 3*o. Calculate the smallest common multiple of m(3) and j(-4).
18
Let q be 4/(-22) + 572934/132. Let m = 4343 - q. What is the common denominator of -95/12 and m?
132
Let q be (-8)/(-342)*(-834)/(-4). Let g = q - 7283/570. What is the common denominator of -61/18 and g?
90
Suppose -25 = -5*t + 45. Calculate the least common multiple of (0 + -10)*(-4)/10 and t.
28
Let d be ((-164)/8)/((-1)/2). Let i = d - 20. What is the smallest common multiple of 3 and i?
21
Suppose -5*s - 4 = h + 17, -2*h - 4*s = 12. What is the lowest common multiple of h and 62?
124
Suppose -4*y - 57 = 2*c - c, -2*y = -3*c + 11. Let p = y - -29. What is the lowest common multiple of p and (-12)/8*(-88)/6?
176
Let l = -675/4 - -172. What is the common denominator of l and -12?
4
Let d(y) = -3*y + 2*y**2 + 3*y + 7*y + 5. Let z be d(-7). Suppose -5*b + 2*q = -z, 7*q - 2*q + 60 = 5*b. Calculate the smallest common multiple of b and 8.
40
Suppose m + 36 = -a + 4*a, a - 5*m = 12. Calculate the least common multiple of a and 16.
48
Suppose 4*v - 2*m - 50 = 0, -4*v - 4*m = -1 - 19. What is the smallest common multiple of 4 and v?
20
Suppose 4*y - 3*s = -15, -3*y + 4*s = -y. Find the common denominator of (-338)/140 - 2/7 and y/(-7)*(3 - 8).
70
Calculate the lowest common multiple of (-32)/(-5) + 6/(-15) and 10.
30
Let c be (-3)/(-6) - 5/2. Find the common denominator of c/(-1) + 130/(-44) and 101/12.
132
Let l = 19 + -10. What is the common denominator of 34/(l*3/(-3)) and -79/6?
18
Let x be ((-2)/6)/((-914)/3). Let p = x - -52549/5484. Calculate the common denominator of 97/4 and p.
12
What is the smallest common multiple of (-3 + 5)*(14 - 1) and 6?
78
Suppose 5*a - 155 = -4*f, -5*a + 3*f + 115 = -f. What is the smallest common multiple of a and 18?
54
Let a be (-2)/(-15) - 4496/(-30). What is the common denominator of 455/a + (-4)/(-6) and -36/11?
110
What is the lowest common multiple of (-1)/(-1) + (-1 - -11) and 2/(4/(-10))*(-282)/235?
66
What is the common denominator of (-342)/(-81)*2/4 and -37/8?
72
What is the common denominator of 1 + (3 - (-9)/10) and -85/2?
10
Let y(d) = d**3 + 28. Let s(a) = -a**2 + 5*a. Let u be s(5). Let z be y(u)