 2*b + 9. Let z be a(-4). Let j(i) = i + 1. What is the least common multiple of 10 and j(z)?
10
Let s(y) = y**2 - 10*y + 6. Let x be s(5). Let q = 21 + x. What is the smallest common multiple of 19 and q?
38
Suppose -4*m - 12 = -5*m. Let f = 2582 - 10239/4. Calculate the common denominator of f and (m/(-10))/(8/(-135)).
4
Let u = 179917/30 - 47687/6. Let s = u - -1941. What is the common denominator of -54/5 and s?
5
Let a = -1 - -2. What is the smallest common multiple of a and (3/(-24) - 18/(-16)) + 10?
11
Let c(r) = r**3 + 4*r**2 + 4*r + 4. Calculate the smallest common multiple of 8 and c(-3).
8
Suppose j = -k + 36, 5*k - 3*j = -j + 180. Let x = k + -26. What is the smallest common multiple of x and -3 + (-18)/(-3) - -1?
20
Suppose 9*j - 4*j = 20. Suppose 2*z - 3*z = -j. Let s = 25 - 17. What is the least common multiple of z and s?
8
Suppose 3*h = i + 144, 3*i + 200 = -4*h - 180. Calculate the common denominator of 97/40 and (-2)/(-1)*i/(-80).
40
Suppose 4*k = k. Suppose 4*z = 4*f - 48, -3*f = -k*z + 2*z - 41. Calculate the least common multiple of 3 and f.
39
Let w = 1571/184 - -2/23. Find the common denominator of ((-1)/(-7))/((-18)/(-21)) and w.
24
Let l = 14704637/8 - 1833216. Let h = -4857 + l. What is the common denominator of h and ((-776)/(-32))/(1/2)?
8
Let v = 91584560407711 + -32754027430512025867/357637. Let w = v - 1/102182. Let y = w + -101/2. Calculate the common denominator of -103/6 and y.
42
Let l = -21865 + 852812/39. Find the common denominator of 99/8 and l.
312
Let g = 62167/12 - 5186. Calculate the common denominator of g and 31/10.
60
Suppose -11 = -d + 1. What is the smallest common multiple of 13 + -1 - 0/3 and d?
12
Let y be (6/(-8))/((-8)/128). What is the smallest common multiple of 7 and (3/6)/(2/y)?
21
Calculate the common denominator of (-231)/10*(40/(-12) - -3) and -27/16.
80
Let s(q) = q**3 + 9*q**2 + 10*q + 1. Let y be s(-8). Let g be y/2*(-24)/15. Suppose -g = i - 4*i. What is the smallest common multiple of i and 22?
44
Let g(q) = 21*q**2 + 1. Let s = 3 - 3. Suppose s*y + 6 = -3*y, -y = 5*m - 108. Calculate the smallest common multiple of g(1) and m.
22
Suppose 2*a + 3*a - 15 = 0. Let o(p) = -5*p + 9*p - 3 + a*p**2 + 4*p - 2*p**2. Calculate the least common multiple of 8 and o(-9).
24
Suppose -3 = -3*u, -u = 3*j - 2 - 11. What is the smallest common multiple of j and 4?
4
Let c = 30322/33 + -918. Find the common denominator of c and -53/54.
594
Suppose 86 - 16 = 5*q. What is the least common multiple of q and 20?
140
Suppose -2139622789342 - 1505713652538 = -2*j. Let k = j - 437112292745027383/239820. Let r = k + -1/11991. Calculate the common denominator of 41/20 and r.
20
Suppose 8 = 4*o + 4*f, 4*o - 3*f = -1 + 9. Find the common denominator of 1/12*-86 + o and -28/3.
6
Let m = -84647/7960 + 9/995. Calculate the common denominator of m and -85/2.
8
Let z = 110/31 - 3223/620. What is the common denominator of z and -49/4?
20
Let t = -9597/2491 - -388/53. Let c = -1757/564 - t. Calculate the common denominator of c and -63/2.
12
Let m be 3/(-18) + 50/12. Suppose -26 = -m*r - 2*c - 10, -r - 3*c + 4 = 0. What is the smallest common multiple of r and 9?
36
Let c(p) = p**2 - 7*p - 1. Let u be c(7). Let z = 4 - 1. What is the least common multiple of z and 1 - (u - -1)*1?
3
Let h(f) = 3*f**3 - 8*f**2 - 6*f + 5. Let p be h(6). Suppose 3*g + 35 = p. Let t = 144 - g. Calculate the common denominator of 40/11 and t.
11
Let o(f) = f**2 + 5*f + 16. Calculate the smallest common multiple of 6 and o(-7).
30
Let w be 7/((2/(-14))/(-1)). Let t = w + -23. Suppose 2*s - s = p + 14, 3*s - t = -p. Calculate the smallest common multiple of 2 and s.
10
Let k = -37180 + 184926/5. Let n = -10794/55 - k. Calculate the common denominator of -97/10 and n.
110
Let f = 57 + -37. What is the least common multiple of 18 and f?
180
Let b(f) = -f**2 + 6*f - 1. Suppose 2*j = 2*v + 6, 4 = -j - 4*v - 3. Suppose -y - j + 2 = 0. What is the smallest common multiple of b(4) and y?
7
Suppose 0 = 3*m + 15. What is the smallest common multiple of 18 and 4/(-5)*m*1?
36
Let h be 164449/10 + 2/(-5). Let l = -51931743/3158 + h. Let b = l - 112001/28422. Calculate the common denominator of b and -63/20.
180
Let v(h) be the third derivative of h**5/60 + 7*h**4/24 + 5*h**3/3 - h**2. What is the lowest common multiple of 20 and v(-8)?
180
Let p be 369/12 + 2/8. Let m(d) = -d**3 - 7*d**2 - 2*d + 8. Let b be m(-7). Let v = p - b. What is the lowest common multiple of v and 10?
90
Suppose -4 = -3*r + 2*r. Suppose r*b = 5*b + 2, -210 = t - 5*b. What is the common denominator of 23/7 and (t/48)/((-2)/(-3))?
56
Find the common denominator of (((-3)/(-1))/24)/((-28)/(-464)) and 117/28.
28
Suppose 5*a - 36 = 3*a - 3*g, 5*a = -3*g + 90. Calculate the lowest common multiple of (-4)/a + 390/54 and 3.
21
Let m = 27 - 19. Let c(v) = 2*v - 12. Calculate the smallest common multiple of c(m) and 22.
44
Suppose 0*i = -2*i + 30. Calculate the common denominator of 2/i*(-2140)/(-16) and (-1516)/168 + (-2)/(-3).
42
Calculate the least common multiple of -7*(-1 - (-5 - -5)) and 60.
420
What is the common denominator of (-66*1/(-4))/(3*5) and 11?
10
Let k = -4/5 + 3/5. Suppose -3*z = 5*v - 1212, v - 5*v = -2*z - 952. Calculate the common denominator of ((-1)/3)/((-44)/v) and k.
55
What is the least common multiple of 210/12*(-16)/(-10) and 16?
112
Let d be 4606/(-4) + (-3)/18. Let a = d + 1169. What is the common denominator of -46/9 and a?
9
Let u be 9 - (1 - (0 - -1)). Let j = u - 15. What is the smallest common multiple of (-7)/(-42) + (-11)/j and 6?
6
Suppose -5*o = -w - 68, -4*o + 82 = 2*w + 22. What is the lowest common multiple of 10 and o?
70
Let f be 11 - (1 - -2 - 1). Let w(l) = -l**2 + 2*l. Let c be w(6). Calculate the common denominator of 18*f/c*1 and -51/10.
20
Find the common denominator of ((-127)/(-10))/(1 - 119/35) and 34/9.
72
Suppose 2*l = l + 11. Let y = -1847/4 - -439. Calculate the common denominator of y and 67/55 + 2/l.
20
Let z be 118/6 + (-4)/(-12). Find the common denominator of z/(-88)*(-118)/10 and ((-6)/(-16))/(10/108).
220
Let q(d) = 2*d + 1. Let r be q(3). Let b = -4 + r. Calculate the least common multiple of 5 and b.
15
What is the lowest common multiple of -9*2/(-5)*50/10 and 8?
72
Let z(l) = 2*l**2 + 7*l + 1. Let p(w) = -4*w - 24. What is the smallest common multiple of p(-8) and z(-5)?
16
Suppose -3*r = 2*i - 47, 0 = 5*r + 2*i + 2 - 83. Let j = r + -10. Calculate the smallest common multiple of j and 5.
35
Let x = 103/38 + 539/57. Find the common denominator of -15/4 and x.
12
Let u(t) = t**3 - 4*t**2 + 3*t + 4. Let r be u(3). Suppose 0 = -2*b - r*o + 12, o + 21 = 4*b - 3. Calculate the smallest common multiple of 14 and b.
42
Let d(g) = 8*g**2 - g - 3. Let z be d(-3). Suppose 0*b + 4*b - z = 0. What is the lowest common multiple of b and 18?
18
Let h be 0 + (1 - 18/(-3)). Suppose -h*o = -6*o - 21. Calculate the lowest common multiple of (-1)/(o/(-18) + 1) and 14.
42
Find the common denominator of -55/18 and (35 - 1)*2/(-16).
36
Let u = -2747/4 + 691. Let d be (-318)/(-22) + 3 + 2. Let z = d + -3207/110. Find the common denominator of z and u.
20
Suppose -2 - 2 = -2*a. Let n be (-2019)/9 - (a + 0). Let g = n + 211. What is the common denominator of g and 10/3?
3
Let i be 1/2 + 54/12. What is the smallest common multiple of 9 and ((-24)/(-20))/(2/i)?
9
Let z(g) = -9*g + 21. Calculate the common denominator of -61/69 and z(5).
69
Let q(w) = -11*w + 84. Calculate the least common multiple of 7 and q(7).
7
Suppose 13*f - 47 - 148 = 0. Calculate the smallest common multiple of f and 24.
120
Let k be (4180 - 0) + 4/2. Let h = k + -37601/9. Calculate the common denominator of 12/11 and h.
99
Suppose -5*n = 5*p - p - 50, -26 = -3*p + 2*n. What is the smallest common multiple of p and 10?
10
Let u = 9 + -16. Let x = -1 - u. Let i = 1 - -9. What is the lowest common multiple of i and x?
30
Let c(j) = j**3 + j**2 - j + 8. What is the lowest common multiple of c(0) and 10?
40
Suppose -24 = -3*n + 2*m, -2*n - 28 = -6*n + 4*m. Let g = -8 + n. Suppose -g*t + 36 = t + 3*j, -40 = -3*t - j. What is the smallest common multiple of 10 and t?
70
Let s be (219/(-2) - 2) + 1. Let u = 316/3 + s. What is the common denominator of 53/7 and u?
42
Let a = 