s the common denominator of m and -1 - (93/(-20) + 2)?
60
Suppose 3*l + 12 - 36 = 0. Suppose 6*d = 8*d - 22. Calculate the lowest common multiple of d and l.
88
Suppose 5*u = f - 0 - 16, 27 = 2*f - 5*u. Let c(w) = 2*w - 5. Let s be c(8). Let j = -7 + s. Calculate the least common multiple of j and f.
44
Let r = -60 + 8. Let l = -21 - r. Let q = 45 - l. What is the lowest common multiple of 22 and q?
154
Let l be 0 + 1 - (-6 + 421). Let u = l - -1256/3. Let f = -395 + 839/2. Calculate the common denominator of f and u.
6
Let v(d) = -d**3 + 5*d**2 + d + 4. Suppose 3*y - 4*j - 17 = -3*j, 3*j + 1 = -y. Suppose 4 = 5*r - 16. Calculate the least common multiple of r and v(y).
36
Let x = 6/61 - -800/549. What is the common denominator of 38/3 and x?
9
Let u(t) = t + 7. Let l be (-7)/14 + 9/(-2). What is the smallest common multiple of u(l) and 2?
2
Let x(f) be the first derivative of 2*f**3/3 - f**2/2 + 3*f + 1. Let q be x(-4). Calculate the common denominator of -133/12 and ((-9)/(-15))/(2/q).
60
Suppose n - 4*v - 23 = 0, n - 4*n - v = -17. Suppose -n*w + 60 = 18. Calculate the smallest common multiple of w and 18.
18
Suppose -a + 3 = -0. Let g(v) = v - 1. Let i(k) = -k**3 + 3*k**2 + 4*k + 3. Calculate the smallest common multiple of i(4) and g(a).
6
Let v = -10/7 + 173/28. Let f(g) = -g**2 - 4*g + 4. Let c be f(-4). Suppose 69 + 83 = c*j. What is the common denominator of v and j?
4
Let z be 22/99 + (-7222)/18. Let d = z - -1984/5. What is the common denominator of d and (1/3)/((-6)/38)?
45
Suppose -107 = 4*o - 155. Calculate the smallest common multiple of o and 4.
12
Let x = 2364 + -16502/7. Suppose -5 = -5*w - u, -u = -3*u - 10. Find the common denominator of x and (-8)/18*69/w.
21
Let f = 3 + 1. Calculate the lowest common multiple of 22 and f.
44
Let l(b) = -b**3 - 2*b**2 - 1. Let h(f) = f**2 - 6*f + 3. Calculate the lowest common multiple of h(7) and l(-3).
40
Calculate the common denominator of 0 - ((-12)/(-16) + -1) and 41/5.
20
Let a(p) = -p**2 - 8*p - 1. Suppose 0 = 4*i + 9 + 19. Calculate the lowest common multiple of 12 and a(i).
12
Calculate the common denominator of 1 + (-202)/36 - (-10 - -9) and -73/9.
18
Let o = 125676 + -6032155/48. Let c = o + -5/12. Calculate the common denominator of -119/18 and c.
144
Suppose -65 = -5*b + 5*y, 3*y + 25 = 2*b - 2. What is the lowest common multiple of 22 and b?
132
Let j = -22 + 26. Suppose -g = -0*g - 6. What is the least common multiple of j and g?
12
Let o(h) = 2*h**2 - 5*h + 3. Let m be o(3). Suppose 3*b = m*b. Suppose 2*i = -p - b*i + 32, 0 = -3*i + 15. Calculate the lowest common multiple of 6 and p.
66
Suppose 0 = 3*n - 7*n. Let m(u) = -u + 8. Let b(p) = p**3 + 5*p**2 - 3*p - 7. Calculate the smallest common multiple of b(-5) and m(n).
8
Suppose -2*u + 33 = -5*d + 8, 0 = -4*u + 3*d + 15. Let m = u - -10. What is the least common multiple of 8 and m?
40
Let d = -262/3 + 79. Let v = -13628/11 + 1238. What is the common denominator of d and v?
33
Let a = -1399/2 + 715. Let y be -139 + (0 - (0 - -1)). Calculate the common denominator of (-1174)/y - (-4)/(-14) and a.
10
Let t = 31 - 26. Calculate the lowest common multiple of t and 7.
35
Let a(d) = -2*d - 2. Let s be a(-8). Suppose 2*r + 2*r = -f + s, 2*f = -3*r + 38. Let o = -8 + f. What is the least common multiple of 2 and o?
14
Let g(r) = r**3 - r**2 - 4*r + 1. What is the least common multiple of 47/4 + 12/(-16) and g(3)?
77
Suppose -m = -1, 2*w + 4*m + 16 = -0. Let d = 12 + -5. Calculate the least common multiple of d and (8/(-4))/(2/w).
70
Suppose -100 = -5*x - 4*c, 2*x - 2*c - 22 = -0*c. What is the smallest common multiple of 12 and x?
48
Suppose 2*g + 4*z = 82, g - 6*z - 62 = -z. Let r = -11 - -3. Find the common denominator of g and (-2)/r + (-1500)/(-144).
3
Let q = 694/49 + -20974/1813. Let c = 779/370 + q. Calculate the common denominator of -31/5 and c.
10
Suppose s + 0*s = 2. Suppose 3*z = s*q + 58, 0 = 3*z - 3*q - 12 - 42. Let m = -10 - -22. Calculate the lowest common multiple of m and z.
132
Let g(p) = -p**3 - 5*p**2 + 3*p - 4. What is the smallest common multiple of 22 and g(-6)?
154
Let b be ((-39)/(-3) + 1)*1. Calculate the least common multiple of 14 and (33 + -1)*7/b.
112
Suppose 3 = -2*v + 5*w - 19, -3*w = 2*v + 6. Let o = v - -12. Let x(d) = 2*d - 1. Calculate the lowest common multiple of o and x(1).
6
What is the common denominator of 15/4 and (-3 + 10/3)*147?
4
Let w = -2373/2 + 1222. What is the common denominator of -113/12 and w?
12
Let k(c) = c - 1. Let s be k(12). Let l = s + -8. Calculate the least common multiple of 6 and l.
6
Let d(v) = 70*v**3 + v. Let p be d(-1). Let w = -949/2 - -430. Find the common denominator of 3*1 + p/(-12) and w.
12
Suppose 2 = -3*t + 92. Suppose 3*y - 6*y = -t. Calculate the smallest common multiple of 6 and y.
30
Let u(s) = -2*s - 15. Let i = 15 - 11. Suppose -4*a - 2 - 9 = -w, 0 = i*w - 5*a - 22. Calculate the smallest common multiple of u(-10) and w.
15
Let t(h) = -h**3 - h**2 + 10. Suppose 2*c + 8 = -4*j, 5*j + 10 = -0. Calculate the lowest common multiple of t(c) and 2.
10
Let q = 231917/22 + -10544. Let m = -143/14 - -739/84. What is the common denominator of q and m?
132
Let g(t) = -2*t**2 - 49*t + 27. Calculate the lowest common multiple of 25 and g(-25).
50
Let t = -512 + 2583/5. Let d = -678226/1131 + 18076/29. Let y = d - 17/13. What is the common denominator of t and y?
15
Suppose -4*v + 3*v = -2*z - 14, 2*v - 38 = 2*z. Calculate the least common multiple of 30 and v.
120
Suppose 3*x - 2*r = -4*r - 10, 15 = -x - 3*r. Suppose 0 = -2*b - x*b + 8. Suppose b*p = 3*p + 8. Calculate the smallest common multiple of p and 6.
24
Let v(s) = -67*s**2 - 7*s - 2. Let j be v(-6). Let d = j - -26175/11. Let i = -169/33 - d. Calculate the common denominator of 151/6 and i.
6
Let l(x) = -x**3 - x**2 - 3*x. Suppose 5*j + 4*u = -10, 0*j + 25 = -5*j - u. Let b be l(j). Find the common denominator of -81/4 and (-1)/(-6)*b/30.
20
Suppose -5*r - 5*v = 90, 0 = -4*r - 2*v - 21 - 55. What is the smallest common multiple of 3 and -3*(r/6 + 0)?
30
Suppose c + 1 = 3*k, 4*c + 4*k = -0*k - 4. Let m = 4 - c. What is the common denominator of -33/5 and m?
5
Let n = -85631/10 + 8556. Calculate the common denominator of 425/30*(-3)/2 and n.
20
Let w = -16 - -41. Suppose 5*m + 0 = w. Calculate the least common multiple of m and (3/6)/(4/48).
30
Let u = -39250771/12 - -3268494. Let o = u + 2410. Find the common denominator of o and 77/16.
48
Let f(l) = -l**2 - 5*l + 4. Let p be f(-5). Suppose 4*q + 108 = 3*d + 21, 5*d + 111 = -p*q. What is the smallest common multiple of q/(-20)*(-15)/(-6) and 11?
33
Let i(q) = -1469*q - 2. Let u be i(2). Let w = 17683/6 + u. Find the common denominator of w and (-238)/40 - 1/(-4).
30
Suppose -y - 2*q + 50 = 2*y, -y = -2*q - 22. Calculate the least common multiple of y and (18 - (2 - 3)) + -1.
18
Let p = -6 - -28. Suppose 4*q = -4*k + 2*q + p, 20 = -4*q. Let y(a) = -3*a + 2. What is the least common multiple of k and y(-2)?
8
Let i(v) = -6*v**2 + 4*v. Let n be i(3). Calculate the smallest common multiple of 22 and n/(-4) + (-1)/2.
110
Let z(w) = -w**2 + 4*w + 11. Calculate the common denominator of z(-5) and 63/2.
2
Let v(t) = -t**3 + 4*t**2 - 3. Let x be v(4). Find the common denominator of -3/7 and -1 - 4*1/x.
21
Let s be (108/(-8))/(30/(-12337)). Let z = 5550 - s. Calculate the common denominator of 31/12 and z.
60
Let s = -45 + 55. Calculate the lowest common multiple of 8 and s.
40
Let p = 5 + -7. What is the common denominator of 93/4 and (-141)/(-8) + -3 + p?
8
Let q = -841/6 - -494/3. What is the common denominator of -21/25 and q?
50
Find the common denominator of -19/22 and -3 - 0 - 206/(-28).
154
Suppose 0 = -3*y - 5*d + 27, 0 = -3*y - 2*d + 5 + 31. Suppose -2*o + 51 = 3*g + 19, -3*g + 4*o = -26. Calculate the smallest common multiple of g and y.
70
Let v(o) = o**3 + o**2 + o - 1. Let x be v(1). Let b(j) = -3*j**3 + 2*j**2 + 4*j**3 - 4 + x*j**2. What is the lowest common multiple of b(-3) and 6?
30
Suppose -o - 7 = -5. Let m(v) = 5*v**2 + 2*v + 2. Calculate the smallest common multiple of m(o) and 20.
180
Suppose 0 = 3*j + b + 6 - 47, 2*j + 4*b - 34 = 0. What is the smallest common multiple of 4 and j?
52
Let l = -5 + 5. Calculate the lowest common multipl