264
Let h(j) = j**3 + 9*j**2 - 10*j - 2. Let w be h(-10). Calculate the common denominator of 37/2 and (46/12 - 1)/(w - -1).
6
Let n = -1239149/45 + 27538. What is the common denominator of n and 40/3?
45
Let h be 84225/10376 + 2/4. Let x = -10/1297 - h. Find the common denominator of -14/11 and x.
88
Let n = 112490/27 + -4167. Find the common denominator of n and 23/24.
216
What is the common denominator of 7/40 and -6 - 26*(-6)/80?
40
Calculate the common denominator of -10/21 and (-8)/(-68) + 1930/42840.
252
Let x be (-2 - -4) + 4/4. Calculate the common denominator of -41/44 and 117/2*x/(-72).
176
Let c = 140183/20 + -7005. Find the common denominator of 4 + -1*748/120 and c.
60
Let b(o) = -o**2 + 10*o - 2. Let y be b(3). Suppose 18*m - y*m = -18. Calculate the lowest common multiple of 84 and m.
252
Suppose 3*g - 2*r = 23, -2 = g + r - 3. Suppose 10 = 10*v - g*v. What is the lowest common multiple of v and 10?
10
Let q(n) = -61*n - 312. What is the least common multiple of q(-8) and 144?
1584
What is the least common multiple of 36 and -4 + -1 + 6 + (3 - -1)?
180
Let x(v) = 6*v + 114. What is the least common multiple of 138 and x(-18)?
138
Calculate the common denominator of 1/2 and ((-24)/(-16))/(1233/39).
274
Let r be (2/(-4))/(1216/240). Let k = r + 5243/760. What is the common denominator of k and -63/40?
40
Let q be (-20626*1/28)/90. Let d = q - -32/315. Find the common denominator of d and 37/8.
24
Let i = -8638 + 86459/10. Let z = -909301/46002 - -5/2706. Let c = 4172/187 + z. Calculate the common denominator of i and c.
110
What is the common denominator of -10 - -7 - -1 - (-2193)/1008 and 127/210?
1680
Suppose 5*g + 21 = -24. Let l = g + 3. Let a = l + 10. Calculate the smallest common multiple of 6 and a.
12
Let u be (-21 - -18)*(-2)/3. Suppose -u*p + 150 = -4*p. What is the common denominator of 9/20 and 9/3 + p/22?
220
Suppose -s + 243 = -2*s. Find the common denominator of 0 + (-9)/(s/120) and -99/10.
90
Suppose 0 = -y - 4*z + 1, 4*y + 9*z - 22 = 11*z. Calculate the smallest common multiple of 25 and y.
25
Let r(u) = -u**2 - 4*u - 20. Let h be r(-5). Let t = h + 45. Calculate the least common multiple of 22 and t.
220
What is the common denominator of -103/40 and 8 - -14 - (-3)/(-4)?
40
Let f = 677/2 - 2986/9. Let v = -12767/20 - -633. Calculate the common denominator of f and v.
180
What is the smallest common multiple of 8 and (-34)/(((-39)/(-6))/(-13))?
136
Find the common denominator of (-847)/(-84) - 0 - (-4)/(-2) and -1/170.
1020
Suppose -5*d + 81 = 3*g - 616, 4*g + 704 = 5*d. What is the least common multiple of 3 and d?
420
Let x = -22127 - -663997/30. What is the common denominator of 127/72 and x?
360
Suppose 0 = 5*x - 2*c + 20, -4*x - 8 = -c + 8. Let n be 116/(-2)*2/x. Let g = -17 + n. Calculate the smallest common multiple of 22 and g.
132
Suppose 0*w + 5*w = -30. Suppose -11*c + 37*c = -10218. Calculate the common denominator of c/18*3/w and 53/6.
12
Calculate the common denominator of 21/40 and (-1575)/147 + (-5)/(-1).
280
Suppose 4*l + 139 = 5*w - 5, -5*w = -2*l - 152. Calculate the least common multiple of w and 8.
32
Let s(m) = -2*m**2 + m + 4. Let z be s(0). Suppose i + 0 - z = -2*l, 3*l = 4*i - 16. Calculate the smallest common multiple of i and 4.
4
Let n be 4/(-20) + 108/15 - 1. Suppose -n*o + 2*o - 5*s + 97 = 0, 0 = 4*s - 20. What is the lowest common multiple of o and 18?
18
Let z be 11 + -12 + 1 + 3 - 1. Suppose 8*s - z*r - 14 = 7*s, -29 = -2*s + 3*r. Calculate the smallest common multiple of 14 and s.
112
Suppose 0*v = 3*v - 12. Suppose -v*h + 110 = h. Suppose 5*k + 2*u = 62 + 40, u = 4*k - 79. Calculate the smallest common multiple of k and h.
220
Suppose -2*w - 288 = 6*w. Let o be -1187*2/90 - -2. Let s = 142/9 + o. Find the common denominator of s and w.
5
Let g = -125 + 305. Let a = 211/32 + -31/32. Find the common denominator of a and (-2)/(-5) + (-447)/g.
24
Let s = 275/21 + -14317/1050. Calculate the common denominator of s and -71/15.
150
Let u(x) = -x**3 + 15*x**2 - 10*x + 13. Let j be u(6). Let o = -7477/27 + j. Calculate the common denominator of -131/24 and o.
216
Suppose 28 = -3*o + 5*o. Let q = o - -2. What is the lowest common multiple of q and 14?
112
Let h(f) = 2*f**2 + f + 1. Let z = -70 - -34. Let l = -16 - z. Calculate the smallest common multiple of l and h(-3).
80
Let y(q) = -q**3 + 26*q**2 - 67*q - 24. Let d(a) = a**2 - a + 2. Calculate the lowest common multiple of y(23) and d(0).
22
Let d = -154517/24 - -6436. Let b = 1132 - 4581/4. Find the common denominator of b and d.
24
Let j = -2502 + 9925/4. Calculate the common denominator of j and 1*(-1 - -1) + 11929/(-302).
4
Suppose 0 = 5*k + 2*r - 400, -6*r = 2*k - 2*r - 144. What is the lowest common multiple of 26 and k?
1066
Let k be ((-3)/(-72))/(4/838184). Let i = k + -8739. Calculate the common denominator of i and -41/21.
84
Let t be (-424)/(-12)*(-3)/(-2). Let y = t - 38. Find the common denominator of -44 and y/(-5)*178/(-60).
10
Let i = 3686/5 + -7489/10. What is the common denominator of i and -109/12?
60
What is the lowest common multiple of (9*6/45)/((-2)/(-15)) and 45?
45
Let a(f) = f**2 + f - 20. Calculate the least common multiple of 42 and a(11).
336
Let v = -1828 - -4030. Suppose -s = s + v. What is the common denominator of -51/22 and 6/27 - s/270?
110
Let n(l) = -2*l**2 + 10*l - 33. Let j be n(6). Let o = 57 + j. What is the lowest common multiple of 8 and o?
24
Suppose 4*n = -m - 0*m + 4, 4*n + 56 = 4*m. Let y(l) = -l**2 + 5*l + 4. What is the smallest common multiple of m and y(3)?
60
Suppose 4 = -1335*y + 1336*y. What is the lowest common multiple of 20 and y?
20
What is the common denominator of 1/6 + 767/(-78) and 2 - (-4)/(44/27)?
33
Let o = 20 - 14. Let a = 126 + -82. Suppose 4*y - 116 = -a. What is the smallest common multiple of o and y?
18
Suppose 2*i + 1458 = 5*i. Suppose 2*s - 7*s + 3*c - 2365 = 0, s + i = -2*c. Calculate the common denominator of (5/(-8))/(7/s) and -101/6.
6
Let x(j) = j**2 + 69*j - 136. Calculate the least common multiple of x(2) and (2 + -2 - 8)/(-1).
24
Let g = 16 + -4. Let v(h) = -7 - 3*h - h**2 - 2*h - 3*h + 3. Calculate the smallest common multiple of g and v(-6).
24
Calculate the common denominator of 2/33 and (-3)/5 - (322/60 + -10).
330
Let m = -47 - -58. Let i(r) = -r**2 + 13*r - 17. Calculate the least common multiple of i(m) and 17.
85
Let h = -101/434 + -9/217. Find the common denominator of -5/18 and h.
558
Let t = -1 - 7. Let d(i) = i**3 + 7*i**2 + 2*i - 10. Let h be d(t). Calculate the common denominator of (-159)/h - (-8)/(-16) and -30/11.
165
Suppose -4 = -3*g + 2*g. Suppose -4 = 4*p, -40 = 4*d - 6*d - g*p. Calculate the least common multiple of 6 and d.
66
Let j = 198 - 278. Calculate the common denominator of 1/20 and 3/18 - j/(-165).
220
Let l be 3 + 5 + -12 - -1. Let j(y) be the first derivative of y**2/2 + 4*y - 2. Calculate the least common multiple of 8 and j(l).
8
Let f = -2 + -1. Suppose 0 = 63*p - 767 - 367. Calculate the lowest common multiple of p and 8 + (-2 - f - 3).
18
Let a = 20668 + -207321/10. Let v = a - -70. Let w = 122621/16 - 7667. Calculate the common denominator of w and v.
80
Find the common denominator of (-6)/(-40)*-1*116/(-87) and 0 + 1 - (-67)/(-10).
10
Suppose 0 = 2*a + 3*a + 5, 3*d + 5*a - 13 = 0. Suppose -16*p + 392 = -2*p. Calculate the lowest common multiple of p and d.
84
Suppose -4*g + 7*k = 12*k - 3529, 5*k - 886 = -g. What is the smallest common multiple of g and 7?
6167
Let t = 22411/4 - 26019203/4644. Calculate the common denominator of 39/5 and t.
5805
Suppose -2*j - 3*j + 350 = 0. Suppose i - 6*i + j = 0. Let y = 38 + -26. Calculate the lowest common multiple of i and y.
84
Let k(i) = i**2 - 6*i - 8. Let y be k(6). Let z = 103073/10 - 10318. Find the common denominator of z and (y/18)/(4/6) - -11.
30
Let n(j) = j**2 + 2. What is the lowest common multiple of n(-5) and 45?
135
Suppose -2*m + 7 = 13. Let p be 54/(-4)*(-808)/m. What is the common denominator of -37/4 and (1/3)/((-120)/p)?
20
Suppose -l + 3 = -4. Let q(x) be the first derivative of -x**4/4 + 5*x**3/3 + 4*x**2 - 9*x - 11. Calculate the lowest common multiple of q(6) and l.
21
Suppose -2*o - 280 = -6*o. What is the common denominator of 29/8 and ((-74)/4)/(