What is the common denominator of t and -109/10?
70
Suppose 0 = 4*y + 3*z - 0*z + 3, -3*z - 27 = -4*y. Suppose 0 = 2*n - 19 + y. Calculate the smallest common multiple of 8 and n.
8
Let x = 64 + -48. Let q = -5 - 19. Calculate the lowest common multiple of x and (q/5)/((-3)/10).
16
Let u = 171 - 297. Let x = -1769/14 - u. What is the common denominator of ((-105)/2)/((-55)/5) and x?
154
Suppose -3*z = -6*z + 9, 20 = 4*j + 4*z. Let l be (j - 1) + 1 + 10. Let n = l - 0. Calculate the least common multiple of 4 and n.
12
Let v be (-8)/58*(-2571)/12. Let d = v - 3/58. What is the common denominator of d and -67/22?
22
Let w = -29 + 50. Calculate the lowest common multiple of 42 and (-350)/w*6/(-5).
420
What is the common denominator of 69/2 and (-170)/(-12)*(-11)/(-55)?
6
Let g(b) = b**3 + b**2 - 7*b + 7. Calculate the smallest common multiple of g(2) and 13.
65
Suppose -f - 94 = -116. Let m(y) = y**2 + y - 2. What is the smallest common multiple of m(-4) and f?
110
Suppose 73 = 5*j - 2. Let h be (-3646)/15 - (-6)/j. Let l = h - -991/4. Find the common denominator of 63/8 and l.
24
Let z = 1 - -3. Suppose -s = 2*s - 18. What is the smallest common multiple of z and s?
12
Find the common denominator of 6/(-14) + 229/(-21) and 81/38.
114
Suppose 11*u - 7 = 10*u. Calculate the lowest common multiple of 2 and u.
14
Let l be (20142/50)/((-1506)/15). Let v = l + -22/251. Calculate the common denominator of v and 11/5.
10
Let g = 1 + 3. Let w be (g/(-18))/(64/(-15)). Let f = -4171/96 - w. Find the common denominator of f and -59/6.
6
Suppose -5*d - 17837 = s - 4249, -2*d + 3*s - 5425 = 0. Let h = d - -16187/6. Find the common denominator of -137/18 and h.
18
Let m be (18 - 7)/(2/(-8)). Let a = m + 64. What is the lowest common multiple of a and 6?
60
Let v(k) = k**2 + 6*k. Let f be v(-7). Suppose -37 = -4*s + f. What is the lowest common multiple of s and 10?
110
Suppose -5 - 3 = -2*m. Suppose 0*x - 2*x = -3*w + 30, 5*x + m*w + 75 = 0. What is the common denominator of x/7 + (-3)/(-2) and 77/6?
42
Let w = 10 - -3. Suppose -p - w = -3*v + 4, -5*v + 23 = p. What is the least common multiple of 10 and v?
10
Let q be 5 + (-4)/8*2. Calculate the smallest common multiple of 10 and (2/q)/((-4)/(-56)).
70
Suppose 7*i = 4*i + 3. Let r = -883 - -893. What is the least common multiple of i and r?
10
Let m = 16759/6 + -2803. Find the common denominator of m and (2/20)/(8/(-565)) + 1.
48
Let x be -5*2/(-1 - 1). Suppose 0*j - 10 = -x*j. Let d(b) = b**2 - 5*b + 7. What is the least common multiple of j and d(5)?
14
Let s = 1277/2 + -25553/40. Find the common denominator of 861/(-180) - (2 - (-12)/(-9)) and s.
40
Suppose 4*c - 33 = c. Let n(g) = -g**2 - 3*g + 2. Suppose -4 = 3*f + 5. What is the lowest common multiple of c and n(f)?
22
Let z be (-1)/(3 + 100/(-34)). Let b = 4 - z. What is the lowest common multiple of b and 7?
21
What is the lowest common multiple of 28 and (-123)/(-12) - 6/24?
140
Let i(n) = n**3 + 8*n**2 + 2*n - 1. Let j be 7*1/(-3)*3. Let l be i(j). Calculate the common denominator of (-1)/(-11)*l/(-4) and -103/10.
110
Let z(v) = v**3 + 16*v**2 + 14*v - 7. Calculate the lowest common multiple of 40 and z(-15).
40
Let d be -1 + 2 + 3 - 0. Suppose 37 = 3*m + d*s - 13, 64 = 2*m - 5*s. Calculate the smallest common multiple of m and 12.
132
Let y = -9 - -10. Calculate the common denominator of 9/45*-59*y and -61/10.
10
Let y = -21 - -29. Let l(m) = 4*m - m - 2*m + 8. Calculate the smallest common multiple of l(12) and y.
40
Find the common denominator of -29/12 and 2/(-8)*((-483)/(-28))/3.
48
Suppose -33*h - 27 = -36*h. Suppose 0 = -4*l + 20 + 8. What is the least common multiple of l and h?
63
Let z = -3 - -13. What is the lowest common multiple of z and 18?
90
Let s = 30 + -15. Let k(t) = -t - 5. Let l be k(-6). Let b = s - l. What is the smallest common multiple of b and 16?
112
Find the common denominator of -32/69 and 2/3*((-110)/4 + -2).
69
Suppose 0 = -26*o + 29*o - 21. What is the smallest common multiple of 6 and o?
42
Let j(k) = k - 4. Let i be j(4). What is the common denominator of 23/20 and i + (1 - 25/(-18))?
180
Find the common denominator of (-7)/(28/(-50))*8/55 and 24/25.
275
Suppose 3*o = -o + 12. Suppose -40 = -8*i + o*i. Calculate the least common multiple of i and 2/(-6) - (-35)/15.
8
Let s = 1 - -1. What is the common denominator of (1/(-3))/((-2)/12) and (-2)/(36/(-94)) - s?
9
Let b(w) be the third derivative of w**5/60 - 7*w**4/24 - w**3/3 + 4*w**2. What is the smallest common multiple of b(9) and 6?
48
Let f = 735 - 448. What is the common denominator of f/36 - (-1)/(-4) and ((-2)/(-5))/(128/140)?
144
Let y = 2255 - 22471/10. Find the common denominator of 73/24 and y.
120
Let b(o) = -o + 2. Let g be b(-8). Let j(y) = -y + 2. Let d be j(0). Suppose -d*a = -34 + g. What is the lowest common multiple of a and 8?
24
Let s = 3236/259 + 3/518. Find the common denominator of s and (-156)/14 + 12/4.
14
What is the common denominator of 55/7 and 211/63 + 21/49?
63
Let v(o) be the first derivative of o**4/4 + 2*o**3 - o**2/2 - 5*o - 2. Let z be v(-6). Calculate the lowest common multiple of 6 and (21/(-9))/(z/(-3)).
42
Suppose -2*b + 2*m + 6 = -2, -5*m - 12 = 3*b. Let a(s) = 8*s**2 + s - 1. Let y = -7 - -15. What is the least common multiple of y and a(b)?
8
What is the lowest common multiple of 6 and 36 + -2 + (1 - 5)?
30
Suppose 3*a - 746 = 4*a - 5*n, -a - 3*n = 706. Let i = a - -7940/11. Calculate the common denominator of (16/80)/((-2)/(-445)) and i.
22
Let u = -5 + 33. Suppose 5*b + f - u = 0, b - 6*b + 20 = 5*f. What is the least common multiple of 3 and b?
6
Suppose 3*p + j - 89 = 0, 9 = -5*j + 4. Let b be -3*(-10)/(-9)*-12. Suppose 4*i = -i + 3*a + b, -5*i = -a - p. Calculate the lowest common multiple of 2 and i.
10
Let i = 332/19 - 13453/684. Find the common denominator of i and 7/4.
36
Suppose 2*d = 4*l + 4*d + 18, d = -4*l - 19. What is the smallest common multiple of 22 and 8/(l/2 - -3)?
176
Suppose 0*i + 112 = i + 3*z, 104 = i - 5*z. Let b = i + -64. Calculate the common denominator of 21/5 and b.
5
Let k = -4796 - -2620. Let c = k - -13115/6. Calculate the common denominator of c and -52/3.
6
Let f be 4/6 - 8/(-6). Calculate the least common multiple of -2 + f + 1 - 0 and 5.
5
Let m = -102433/29736 - -1/3304. Calculate the common denominator of (29/(-6))/((-14)/4 - -3) and m.
9
Let j = -42 - -68. What is the least common multiple of 11 and j?
286
Suppose 13*o - 284 = 145. What is the lowest common multiple of 9 and o?
99
Suppose -2*q = q. Suppose -4*g = -2*s - 22, -3 = s - q*s. Calculate the lowest common multiple of 20 and g.
20
Let g = -2750 - -60565/22. Find the common denominator of -23/5 and g.
110
Let f = 7856/5 + -1578. Find the common denominator of -54/221 and f.
1105
Let x = -2732 - -65557/24. What is the common denominator of 89/22 and x?
264
Let w be ((-2)/(-4))/((-1)/(-6)). Let p(u) = 4*u + 1 - u**2 + 0*u**2 + 0*u**2. Calculate the least common multiple of 11 and p(w).
44
Let m(u) = 7*u - 4. What is the least common multiple of m(10) and 16?
528
Suppose 2*i = 4*i - 32. Find the common denominator of 290/(-56) + (-4)/i and -3/5.
35
Let n be 1 - -1 - (-4)/(-2). Let f = n - -6. Calculate the least common multiple of f and 11.
66
Suppose -s = 4*s - 25. Calculate the least common multiple of s and 2.
10
Suppose -3*m + 5 - 29 = 0. Find the common denominator of -3/8 and 2/m - (-128)/20.
40
Let x be ((-13983)/(-6))/((-9)/(-101)). Let t(w) = 8720*w. Let h be t(-3). Let q = h + x. What is the common denominator of q and -1/8?
72
Let h = 54 + -53. What is the least common multiple of h and 9?
9
Let g = -127 - -197. Find the common denominator of (-274)/g - 2/(-10) and 1 - 0 - (-8)/(-14).
7
Let u = -81/11 + 1477/220. Let w = 10968 + -131515/12. Calculate the common denominator of u and w.
60
Let i = -79553/20 + 3976. Let r = 40289420567/1340 - 30066730. Let o = r - 48/67. Find the common denominator of i and o.
20
Suppose -z + 27 = -23. Calculate the least common multiple of 5 and z.
50
Let y = -478 + 7617/16. What is the common denominator of -69/4 and y?
16
Suppose -23*c + 25*c = 8. What is the smallest common multiple of 14 and c?
28
Let k(y) be the first derivative of -2*y**2 - 22*y - 2. Calculate the least commo