1 = -5*a - 5*o + 71. Calculate the smallest common multiple of q and a.
36
Let q(x) = x**2 + 5*x - 2. Let g be q(8). Calculate the common denominator of -41/16 and (3/(-6))/(g/150).
272
Suppose 2*q = -0*q + 3*z + 11, 4*z - 22 = -q. Suppose 0 = -b - 5*w - 0*w + 14, -3*w = -3*b + 6. What is the lowest common multiple of b and q?
20
What is the common denominator of ((-2)/3)/((-80)/(-2550)) and -53/14?
28
What is the common denominator of (-24)/32 + (-302)/88 and 52/9?
99
Let r be ((-16)/10)/((-8)/340). Suppose 4*u = 204 + r. Let j = -48 + u. What is the least common multiple of 6 and j?
60
What is the common denominator of 77/10 and 81/10 + 24/16?
10
Let t = -1 + 1. Suppose 0 = -2*r - t*r + 12. Suppose 2*o = r*o - 64. What is the smallest common multiple of 12 and o?
48
Suppose 2*u + 4*n = -2*u - 4, -4 = -3*u + 4*n. Suppose 3*k + 166 + 74 = u. Find the common denominator of 99/8 and k/(-15) - (-2)/(-8).
24
Suppose 4*g = -2*b + 12, -2*g + 23 - 5 = -5*b. Let c = 1 - b. Calculate the least common multiple of c and 8.
24
Suppose h = -2*h + 6. Let f = h - -9. What is the smallest common multiple of f and 8?
88
Let b be (2/1)/(7/14). Suppose b*h + 4 = -d, -2*h - 3*h = 10. Calculate the common denominator of -59/7 and 375/5*2/d.
14
Let v be (-1 - 2)*(-21)/(-9). Let w(b) = 3*b**2 - 9 - 2*b + b**3 + 4*b**2 + 0*b**2. What is the least common multiple of 6 and w(v)?
30
Suppose 8*j - 17 = -2*n + 3*j, 5*n = 2*j + 28. What is the least common multiple of n and 20?
60
Let r(v) = -v + 84. What is the smallest common multiple of r(-9) and 15?
465
Let w = -3/15326 + 935003/597714. Calculate the common denominator of w and -1/33.
429
Let w(c) = -c**2 - 6*c. Let j be w(-6). Suppose 5*n + 2*g - 8 = j, 0 = 2*n - 5*g + g - 8. Calculate the smallest common multiple of 2 and n.
2
Suppose -2*c - c + 102 = 0. Let q = 56 - c. Calculate the lowest common multiple of q and 16.
176
Let c = 0 - 1. Let n = 1201 + -24027/20. Calculate the common denominator of n and ((-6)/88)/(c/42).
220
Let r = 8487 - 135879/16. Calculate the common denominator of r and -1/62.
496
Suppose -2*f + 6*f - 3*k = 9, k = -3*f + 10. Calculate the lowest common multiple of 5 and f.
15
What is the common denominator of (49/2)/((-1)/2) and 6/(-9)*(-87)/(-7)?
7
Calculate the common denominator of 702/120 + 2*-1 and -113/10.
20
Let i = 169/35 + -27/5. What is the common denominator of i and -85/2?
14
Let q = -9 - -13. What is the lowest common multiple of q and 18?
36
Let g(t) = -t**2 + 9*t - 9. Let v be g(7). Suppose 2*d + 3*j - 2*j = 5, 0 = 2*d - v*j - 35. Find the common denominator of -68/9 and d/(-20) - 61/(-36).
9
Let c be 1896/(-9) + 2/(-6). Let f be (-10)/(0 + (-18)/c). Let j = f - -355/3. Calculate the common denominator of j and 14.
9
Suppose 5*q - 11 = -3*n, -2*n + 6 + 0 = 3*q. What is the common denominator of ((-25)/(-90))/(q/(-6)) and 13/2?
12
Let j(s) = -s**3 - 18*s**2 - 16*s + 23. What is the smallest common multiple of (-60)/(-25)*(-15)/(-2) and j(-17)?
18
Let y be 8/(-4) - -46*1. What is the common denominator of (4/10)/(y/405) and -11/26?
286
Let f = 943/20 + -177/4. Calculate the common denominator of f and 13/2.
10
Let b(n) = -n**3 - 4*n**2 - 3*n - 6. Suppose 4*r - 8*r + 2*c + 38 = 0, 5*c = 5*r - 35. Calculate the least common multiple of b(-4) and r.
12
Let z(l) = 8*l**3. Let n(s) = s - 3. Calculate the smallest common multiple of n(6) and z(1).
24
Let j(n) = 2*n**2 + 2*n + 4. Let p be j(3). Let d be 1 + p*1 + -2. What is the common denominator of 25/2 and 87/d + 3 + -1?
18
Suppose y + 7*w + 20 = 3*w, 0 = 2*y + 5*w + 25. Suppose -9*l + 10*l = 4. Let j = y + l. What is the smallest common multiple of j and 5?
20
Let x = 10 + -6. Suppose 5*p - 5*k + x*k + 48 = 0, 6 = -3*k. Let g = p + 19. What is the least common multiple of g and 2?
18
Let d = -8549/260 + 458/13. Calculate the common denominator of d and 2 + (138/32)/(-1).
80
Let q = 3246 + -29249/9. Let o = -1/4262 + 132133/46882. What is the common denominator of o and q?
99
Suppose 3*f = -j + 4, 2*f = j + 3*j - 2. Suppose 3*y = 5 + 10. What is the smallest common multiple of j and y?
5
Suppose -1 - 5 = -3*q. Suppose 0 = q*u - 8, -2*u = -n - 0*u. Suppose -2*h = 2*h - 16. What is the least common multiple of h and n?
8
Suppose -2*t + 10 = -4*t. Let d be 52/10 + 1/t. Suppose 30 = -0*u + d*u. What is the smallest common multiple of 4 and u?
12
Let a = 43 - 35. What is the lowest common multiple of 1 and a?
8
Let u be 460/25 - (-2)/(-5). Let x = u + -10. Calculate the lowest common multiple of x and 3.
24
Suppose o - 21 = -4*g, 5*o = -0*g + 2*g + 17. Let i(k) = 3*k - 3. Calculate the least common multiple of o and i(2).
15
Let t be 9/2*6/(-9). Calculate the least common multiple of (4/t)/(6/(-27)) and 18.
18
Let i = 23 - 16. Calculate the lowest common multiple of i and 11.
77
Let y = -17 - -18. Calculate the smallest common multiple of y and 8.
8
Let n(z) = -z**3 + 3*z**2 + 5*z - 6. Let g be n(4). Calculate the common denominator of -1 - g - 212/(-40) and 143/6.
30
Let g(m) = -2*m**3 + 23*m**2 - 9*m - 1. Calculate the smallest common multiple of 6 and g(11).
42
Suppose -8*u - 2 = -10*u. What is the smallest common multiple of u and 3?
3
Calculate the least common multiple of (-291)/(-33) + 8/44 and 7.
63
Calculate the common denominator of 89/16 and ((-148)/(-6))/(0 - 8).
48
Let x = 18 - 11. What is the lowest common multiple of 6 and x?
42
Suppose -p - 21 = -95. Calculate the common denominator of 1 + (-2 - p/20) and -37/6.
30
Suppose -x + 5*x - 88 = 0. Suppose 18 = 3*z - 3*q, -2*q - 16 = -4*z - 0*q. What is the common denominator of (x/(-54))/(z/(-12)) and 127/6?
18
Calculate the smallest common multiple of 2 and ((-11)/((-44)/8))/((-2)/(-12)).
12
Let i(f) = -f**2 + 16*f - 16. Calculate the lowest common multiple of 18 and i(14).
36
Suppose 0 = 3*c - j + 27 - 8, -2*c - 2*j - 26 = 0. What is the least common multiple of (-2 + -1)*c/12 and ((-30)/(-4))/(-5)*-6?
18
Suppose -3*x = 3, o + 1 = -4*x + 7. What is the least common multiple of 10 and o?
10
Let j be ((-21)/(-1))/(1 - 0). Let l = -13 + j. What is the smallest common multiple of l and 5?
40
Suppose -5*a - 4*t + 6 = 0, -11 = -4*a - 0*a + 3*t. What is the least common multiple of a and 6?
6
Find the common denominator of ((-1)/9)/((-10)/(-725)) and -3/22.
198
Suppose -3*y = y - 4. Suppose m - 7 = y. Let d(v) = -v**2 + 10*v - 7. What is the lowest common multiple of 11 and d(m)?
99
Suppose 0 = -17*r + 105 - 3. What is the lowest common multiple of 4 and r?
12
Let c = -3392 - -30565/9. Find the common denominator of 23/11 and c.
99
Let h(c) = -c**3 + 4*c**2 + 7. Let i be h(5). Calculate the common denominator of -1/16 and (-4)/i - (-218)/(-252).
112
Suppose -h = -14 - 0. Suppose x = 2*j - 21, 18 = j + j - 2*x. Calculate the smallest common multiple of j and h.
84
Let t(m) = 3*m - 5. Let l be t(-5). Find the common denominator of (-61)/(-20) - (-8)/l and -89/14.
140
Let j(q) = 5*q**2 + 9*q - 16. Let k be j(-12). Calculate the common denominator of (3 - k/80) + 1 and -121/18.
180
Find the common denominator of -6 + 7 - (2 - 89/8) and ((-6)/(-16))/((-6)/83).
16
Let z = 1829/1508 + -29/52. Find the common denominator of 5/2 and z.
58
What is the common denominator of -8/9 and ((-365)/(-10))/(20/(-2))?
180
Let v be 0 + (1073/(-2) - 2). Let r(q) = -10*q**2 - 5*q + 5. Let x be r(7). Let k = x - v. Find the common denominator of -69/22 and k.
22
Suppose -2*h - 44 = 172. What is the common denominator of 2 + -1*h/40 and -40/11?
110
Suppose i - 6*i + 80 = 0. Suppose -2*p + 4 = -i. What is the lowest common multiple of 9 and p?
90
Let q = 11 - 7. Suppose 3*n + 31 - 1 = 0. What is the least common multiple of (-9 - n)/(1/2) and q?
4
Let s = 3 - 9. Let g = -4 - s. What is the smallest common multiple of 4 and g?
4
Let w = 109622/27 + -8119/2. What is the common denominator of w and 13/48?
432
Let q = 347 - 336. Let p = 18 - 11. What is the smallest common multiple of p and q?
77
Let h be 9 + -7 + 0/(-2). Let i = h - -1. What is the lowest common multiple of i and 0/4 - (1 - 4)?
3
Suppose -y - 9250 = -v - 2*y, -4 = y. Let w = -166643/18 + v. Find the common denominator of -3/8 and w.
72
Let g(p) = -p**3 - 5*p**2 - 4*p + 4. Let s be g(-4). What is the smallest common multiple of (-1)/4 + 49/s an