40
Suppose 2*x + 0*y = -2*y - 50, 5*x = 2*y - 160. What is the common denominator of (-10)/6*(-26)/5 and (26/x)/(2/5)?
6
Let z(q) = 2*q**2 + 18*q + 16. Calculate the lowest common multiple of 24 and z(-11).
120
Let m = -317349/20 + 15872. What is the common denominator of (-86)/(-42)*6/4 and m?
140
Let j = 19 + -20. Find the common denominator of j + ((-15)/(-44) - 1) and -83/6.
132
What is the lowest common multiple of 6 and -3 - (2/2)/(15/(-75))?
6
Let m(y) = -y**3 - 7*y**2 - 4*y - 8. Let u = -487 - -2019/4. What is the common denominator of u and m(-7)?
4
Let k = 3762 - 37743/10. Suppose l = 6*l + 60. Calculate the common denominator of k and l.
10
Suppose -3*g = 2*g - 10. Calculate the common denominator of -117/10 and g/9 + (-560)/(-72).
10
Let f be (-1*5)/(1*-1). Suppose -f*d = -7 - 8. Suppose 0 = -8*r + 25 - 1. What is the lowest common multiple of r and d?
3
What is the least common multiple of 3 - 12/(-3 - 1) and 18?
18
Let d = 496 + -468. Let s(f) = f + 6. What is the lowest common multiple of s(0) and d?
84
Suppose -v - 52 = -3*b - 5*v, -b - 4*v + 20 = 0. Let t = b + -10. Calculate the least common multiple of (1/(-2))/((-3)/t) and 4.
4
Let h = -2465423/56 - -44027. What is the common denominator of h and 91/6?
168
Let m = -5 + 15. Let u(a) = -a**3 + 2*a**2 + 4*a + 1. Calculate the smallest common multiple of m and u(3).
20
Let i = 9845/4 + -2482. Find the common denominator of 18 and i.
4
Calculate the common denominator of 21/10 and ((-9)/12)/((-15)/730).
10
Let q(j) = j**3 + 7*j**2 - 6*j + 10. Let t be q(-7). Let c = 1521/4 + -375. What is the common denominator of (-9)/(-20)*t/(-6) and c?
20
Let v = -26 - -37. Calculate the smallest common multiple of v and 10.
110
Suppose -i = -5*o - 17, 0*o - 87 = -4*i + o. What is the smallest common multiple of i and 5?
110
Let q be (6/(-15))/(2/(-20)). Let h(b) = b + 5. What is the smallest common multiple of (-10 - -2)/(-1)*1 and h(q)?
72
Suppose 4*g = g. What is the lowest common multiple of 6 and (g - (2 + -4)) + 18?
60
Let s(z) = -z - 14. Let b be s(0). Calculate the common denominator of -13/2 and (-132)/b*63/(-60).
10
Let t = -14947/21 - -3557/6. Let i = 119 + t. Calculate the common denominator of 111/14 and i.
14
Let n(j) = -3*j + 7. Let l be n(9). Let q = l + 29. Let v(d) = -d + 2. What is the least common multiple of q and v(-6)?
72
Let x = 7 + -7. Calculate the common denominator of -44/3 and x.
3
Suppose 2*x - 300 = -13*x. Calculate the smallest common multiple of 16 and x.
80
Let s = 192 + -91. Suppose 0 = -5*b + 9 + s. Suppose -3*d + 18 = 2*u, -2*u + 36 = 3*u + 3*d. What is the least common multiple of b and u?
66
Let y(v) = -v**2 - 7*v + 2. Suppose 3*o - 10 = 26. Calculate the least common multiple of o and y(-7).
12
Let p = -1/145 + -419/2320. Find the common denominator of p and -87*2/8 - 1.
16
Let v = -18137/10 + 1817. Find the common denominator of 107/22 and v.
110
Suppose 4*d - 2*d = -2*u + 8, -4*d = -u - 6. Suppose 2*k + 2*k - 48 = 0. Calculate the lowest common multiple of k and u.
12
Let x be 4/(-14) + (-53023)/(-238). Let f = -209 + x. Calculate the common denominator of f and 145/6.
6
What is the lowest common multiple of 8 and (-5 - 1)*(-7)/((-35)/(-30))?
72
Let l = -3 - 3. What is the common denominator of (-4)/l - 25/2 and (90/16)/((-25)/(-100))?
6
Let l(v) = 10*v**2 - v**3 - v + 4*v**3 - 2*v**3 - 3 + 8*v. Let d be l(-9). What is the least common multiple of 2 and (2 - 1)*d + -1?
14
What is the common denominator of -89/10 and -1*((-246)/40 - 0)?
20
Let x(b) = -b**3 + 5*b**2 + 9*b - 2. Suppose 3*r - 15 = 3. Let t(i) = -i**2 + 8*i + 5. What is the smallest common multiple of x(r) and t(5)?
80
Let d(u) = -46*u - 2. What is the lowest common multiple of d(-1) and 14?
308
Let s(o) = -o + 6. What is the smallest common multiple of 10 and s(-5)?
110
Let c be 18/4*(-665)/(-21). Let r = c - 103. Find the common denominator of -75/8 and r.
8
Let h be (-2615)/(2/2 + 1). Let l = 2463 + -1114. Let z = l + h. What is the common denominator of -31/11 and z?
22
Calculate the common denominator of 1 + (-71)/4 - 3/(-2) and -57/4.
4
Let j(v) = -v**3 - 4*v**2 - 2*v - 6. Let z be j(-4). What is the smallest common multiple of 10 and z + -2 + 40/2?
20
Suppose -32 = j + 3*j. Let r(x) = x**3 + 7*x**2 - 9*x + 3. What is the smallest common multiple of r(j) and 1?
11
Suppose -5*g + 2*x + 38 = 0, 0*x = -2*g + x + 15. What is the least common multiple of 22/(-11)*(-3)/2 and g?
24
Let t = -2477 + 19771/8. Find the common denominator of -3*1*82/12 and t.
8
Let r(m) = 3*m - 4. Let d be r(6). Let y = -6 + d. Calculate the lowest common multiple of y and 6.
24
Let v = 1/56 - -79/84. What is the common denominator of 26/45 and v?
360
Suppose -2*m - 2*f + 1 = 3*m, 0 = 2*m + 4*f + 6. Let d(t) = t**2 - 5*t. What is the lowest common multiple of m and d(6)?
6
Let o = 59 + -55. What is the smallest common multiple of o and 16?
16
Let d = 2/6243 - -418261/62430. Find the common denominator of d and 14/11.
110
Suppose -5*m + 30 = -2*m. What is the smallest common multiple of 12 and m?
60
Let b = 6316 - 88315/14. Find the common denominator of -1 + 0 + (-58)/(-28) and b.
14
Let h = -945 - -1837/2. Let w = -419 + 170. Find the common denominator of h and (6/36)/(4/w).
8
Let f = -3397 - -33943/10. Suppose w - 3 = -2*w. Find the common denominator of (-3 + w)/(18/(-11)) and f.
90
Suppose 0 = g - 3*g, r - 1 = -4*g. Calculate the lowest common multiple of (r - -3)/(6/15) and 5.
10
What is the common denominator of 2/8 - 664/(-288) and -17/11?
99
Let i(a) = -a + 7. Let o(f) = f**2 + 7*f + 5. Let h be o(-5). Calculate the lowest common multiple of i(h) and 2.
12
Suppose 0 = 2*t - 0 - 10. Suppose -3*y + 8 = l, 2*l - 18 = -0*l - t*y. Calculate the lowest common multiple of 2 and l.
14
Suppose -3*w - 4*r - 140 = 0, 2*r - 20 = w - 2*r. Calculate the common denominator of -2/11 and ((-182)/16)/((-30)/w).
66
Let y be (-119300)/(-48)*44/6. Let b = y - 18232. Let c = -27787/1196 + -5/299. What is the common denominator of b and c?
36
Let l = 5 - -27. Calculate the common denominator of (-3)/(-6) + (-87)/4 and 8/l*(-194)/(-11).
44
Let o = 234 + -394. Let y = o + 1105/7. Calculate the common denominator of y and -6*2/(-16)*11.
28
Let k be 20514/(-60)*-1*17. Let n = k + -5803. Find the common denominator of 63/20 and n.
20
Let y = 9 - 7. Calculate the smallest common multiple of y and 3.
6
Suppose -3*y = -2*q + 6, -7*q = y - 3*q - 12. Let c be (-1)/(1/(y + -3)). What is the common denominator of 89*c/6 + -2 and 19/5?
10
Let c(j) = 2*j**2 + 6*j + 2. Let i be c(-4). Calculate the common denominator of 387/(-30) - (-4)/i and -17/9.
18
Let t be (-3)/(-3)*(1 - 2027). Let k = t + 16237/8. Let i = 97/24 + k. Calculate the common denominator of -48/7 and i.
21
Suppose 0 = 4*f + 5*s - 16, 3*f - 7*f + 2*s - 12 = 0. Calculate the common denominator of -34/5 and f/(-1) - 39/(-8).
40
Let u(v) = 42*v + 1. Let w be u(3). What is the common denominator of w/4 + 2/(-8) and 27/20?
20
Find the common denominator of -3/8 and (-27)/(-2) - (-12 - -12).
8
Let k(g) = -g**2 + 8*g + 5. Let d = 28 - 20. What is the lowest common multiple of d and k(7)?
24
Let q be ((-1)/(-639))/(111/(-9)). Let w = -63925/10508 - q. Find the common denominator of w and 13/18.
36
Let z(f) = 4*f - 26. What is the lowest common multiple of z(10) and 6?
42
Let n = 21 - 81/4. Find the common denominator of n and 79/8.
8
Suppose -5*y + 37 = -33. Let h(r) be the third derivative of r**5/60 - r**4/24 - r**3/3 - 3*r**2. What is the smallest common multiple of h(3) and y?
28
Suppose 20 = v + v. What is the smallest common multiple of 4 and v?
20
Suppose -3*t + 10 = 5*w, 0*w - 4*t = 2*w - 18. Suppose -257 + 15 = -2*j. Calculate the common denominator of -2 + (j/14 - w) and 97/14.
14
What is the lowest common multiple of (6 + -8)/(2/4)*-10 and 16?
80
Let f(q) = -q**3 + 5*q**2 - q + 15. Let l be f(12). Let r = 14109/14 + l. Calculate the common denominator of ((-38)/(-14))/((-36)/14) and r.
126
Let w(a) = a**3 + 8*a**2 - 10*a - 10. Let l be w(-9). Let n = -856203/104230 + 2/7445. Calculate the common denominator of n and 45/(-21) - l/2.
14
Let s = 16 - 8. Suppose -5*c + 2*c - 3*z = 0, 2*c + 5*z + 12 = 0. What is the lowest common multiple of s and c?
8
Let f = -3802/117 +