 Calculate the lowest common multiple of 3 and ((-3)/6)/(x/(-330)).
33
Let y be 1 + (-48040)/21*10. Let q(z) = -2*z**3 - 36*z**2 - 39*z + 101. Let s be q(-30). Let m = y + s. Find the common denominator of -91/18 and m.
126
Let h be (-2 + 12/7)/((-8)/280). Calculate the common denominator of 6 + (-71)/h + 4 and -71/4.
20
Let o = 1031/10 - 27397/270. Let z(t) = 2*t**3 - 3*t**2 - t + 4. Let k be z(3). Find the common denominator of o and k*(10/48)/(7/28).
27
Let z = -259541/76417502 - -6/50077. What is the common denominator of z and 39/2?
1526
Let i = -5350 + 5355. Let f = 40 + -14. Suppose 6*s - s - m = 34, -2*m = -3*s + f. Calculate the smallest common multiple of s and i.
30
Let t = -965 + 1394. Let n = t + -408. What is the least common multiple of 10 and n?
210
What is the smallest common multiple of -3 + ((-12)/(-36) - (-2060)/12) and 442?
5746
Suppose 0 = 117*o - 8472 - 7323. What is the smallest common multiple of 405 and o?
405
Find the common denominator of -68/55 and (-573)/(-2)*(-54)/(-2570) - (66 + -60).
28270
Let h = -7529 + 7844. What is the lowest common multiple of h and 63?
315
Suppose -x + 5 = -0*x. Suppose 0 = x*y + 3*q - 32, -y + 4*q - 16 = -q. Calculate the smallest common multiple of (-54)/(-10) + 50/(-125) and y.
20
Let z be (-6896)/180 + (-7)/(-21). Let m = z - -191/5. Find the common denominator of m and (-267)/36 + 15/(-20).
18
Suppose -4*o = -3*k - 538, o + 20*k = 25*k + 126. Calculate the least common multiple of o and 272.
272
Let n be 2/(-1) + (-10520)/(-894). Let c be (9/(-1788))/((7761/(-60))/13 + 10). Let t = c + n. Calculate the common denominator of t and 76/45.
45
Let y = 2299418461/1552 - 1481584. What is the common denominator of y and -79/582?
4656
Let q(c) = -205*c**3 + c**2 + c - 8. Let g be q(2). Let y = 2238214 + -26838851/12. Let j = y + g. Find the common denominator of -37/6 and j.
12
Let p = -1/130743 + -5534759/3660804. What is the common denominator of p and 1218/630*(-72)/192?
840
Let g be 309/(-8)*4148/(-14454). Let x = 4151/109208 - 5/136. Let b = x - g. Calculate the common denominator of 127/6 and b.
12
Let g(q) = 514*q**2 - 2*q + 165. What is the lowest common multiple of 3 and g(-5)?
39075
Let q be (-6)/(-76)*((-256)/(-6) - 4). Let c = 2193/874 - q. Let r = -2743/138 - c. Calculate the common denominator of r and 25/33.
33
Let x be (12/(-2))/2*-21. Find the common denominator of ((-261)/(-24))/(x/12) - 1 and -1 + -1 - 122/(-8).
28
Let i(q) = -1450*q + 7200. What is the lowest common multiple of 119 and i(4)?
23800
Suppose 0 = -i + 17 - 15. Suppose 0 = i*b - 36 - 4. Let n(s) = s + 11. Calculate the smallest common multiple of b and n(-5).
60
Let b = 3/1091159 + -2194321079/120027490. Let p = b + 244/11. Calculate the common denominator of p and 65/24.
120
Let n = 1163/5 + -244. Let d be (1/(-9))/(312/(-23238)). Let l = d + -126/13. Calculate the common denominator of l and n.
60
Let v(g) = 54*g + 938. What is the lowest common multiple of v(-17) and 2628?
13140
Let r = 5496493115/286 + -19218533. Let g = -15/143 - r. Find the common denominator of -25/18 and g.
18
Let g = 96 - 93. What is the common denominator of 75/8 and -17*9/30 + 4 + g?
40
Let w(y) = -y**3 - 4*y**2 - 7*y + 33. Let b be w(11). Let s = b - -22363/12. Find the common denominator of s and 67/40.
120
What is the least common multiple of 4 and (225 - 229)/(6/4*(-1)/36)?
96
What is the least common multiple of (117952/40)/8 + (-2)/(-5) and 41?
369
Suppose 2*u + 243 = -5*t, 5*u + 5*t + 457 = -158. Let n = 139 + u. Calculate the lowest common multiple of 15 and n.
15
Let r = 55 - -161. What is the common denominator of (-6)/(-160)*(-6)/(r/570) and 17/32?
32
Suppose -8*d - 28 - 68 = 0. Let y = 32 + d. Let h(x) = 2*x - 1. What is the lowest common multiple of y and h(5)?
180
Let x(r) be the first derivative of -3*r**4/4 - 17*r**3/3 + r**2/2 - 6*r - 38. What is the lowest common multiple of x(-6) and 90/(-12)*12/(-5)?
72
Suppose -484 = 12*t - 1300. What is the least common multiple of 578 and t?
1156
Find the common denominator of -149/4392 and (-6 + 23040/3843)/((-5416)/(-1414) + -4).
21960
Suppose -4*n + 17*b + 52 = 15*b, 5*n + 5*b - 50 = 0. Calculate the smallest common multiple of (-8)/n*(-21)/4*80 and 2.
280
Suppose 16*g + 372 = 3*t, -4*g - 470 - 118 = -3*t. Suppose -3*k + 10 = 4*d + 2, -21 = -4*k + 5*d. What is the least common multiple of k and t?
220
Let f(t) = -t**3 - t**2 + 28. Suppose 0*z - 3576 = -4*z + 2*v, 0 = 4*z - 5*v - 3564. Suppose 2*s + 26*s = z. What is the smallest common multiple of s and f(0)?
224
Let p = 1117/156 - -9/52. Let j = -13/6 + p. Find the common denominator of (4 + 231/(-45))*-3 and j.
30
Suppose -4*u + 2*y - 4 = 6*y, 0 = -2*u - y. Suppose -b - u + 33 = 0. What is the lowest common multiple of 24 and b?
96
Find the common denominator of -25/208 and 20/(-672)*2*492/(-80).
1456
Let c(d) = d**3 - 53*d**2 + 49*d + 296. What is the smallest common multiple of c(52) and 28?
140
What is the least common multiple of (9216/(-60))/(-16)*15 and 112?
1008
Calculate the common denominator of 99/9 + 704/(-70) and 8/1463.
7315
Suppose -4*l + 43 + 121 = 4*r, -3*r - 4*l + 128 = 0. What is the smallest common multiple of r and ((-4)/(-16))/((-1)/(-28))?
252
Calculate the common denominator of 11799/(-798)*(-1)/(-48) and -61/140.
1120
Let j = 5136003935/2628 + -345648680/73. Let z = j + 2780345. Let x = -229 - z. Calculate the common denominator of -81/4 and x.
36
Let u(x) = -x**3 + 4*x**2 + 5. Let z be (-42)/9*(-54)/21. Suppose -45*b - z = -49*b. Calculate the lowest common multiple of b and u(4).
15
What is the smallest common multiple of (-57072)/(-264) - 8/44 and 36?
216
Let c = 126 + -126. Suppose 5*l - 3*j - 78 = c, -3*l + 2*j + 42 = -4. What is the least common multiple of l and 14?
126
Let m = 13 + -8. Suppose -16*k = -118 - 122. Calculate the smallest common multiple of m and k.
15
Let q be 8/(-6) + 2 - (-172)/(-6). Let y = -26 - q. Let o(p) = p**2 - 3*p + 1. What is the lowest common multiple of y and o(6)?
38
Let l = -8449/9360 - -5/1872. Calculate the common denominator of -63/145 and l.
290
Let l(h) = 145*h**2 - 7*h - 10. Let o(y) = -290*y**2 + 14*y + 22. Let n(r) = 5*l(r) + 2*o(r). What is the smallest common multiple of 16 and n(-1)?
1168
Let n = -912 + 1376. What is the smallest common multiple of n and 16?
464
Let n = -371040 - -327257219/882. What is the common denominator of n and -157/84?
1764
Let t(m) = -6*m**2 + 392*m - 83. What is the smallest common multiple of 572 and t(64)?
1716
Let f = 1/1102 + 2189/16530. Calculate the common denominator of (-26)/40 - 4/6 and f.
60
Let v(o) = 5*o**3 - 4*o**2 + 6*o + 5. Let b be v(3). Let g = -108 + b. What is the lowest common multiple of (0 - (-16)/4)*4 and g?
112
Let b = 19436 - 19403. What is the lowest common multiple of b and 6351?
69861
Let h = -735435/67624 + 3/8453. Find the common denominator of -83/30 and h.
120
Let f = 700769/39 + -17970. Find the common denominator of f and 0 + ((-41)/(-36) - 1)*-1.
468
Suppose 35*r - 698 = 2557. What is the lowest common multiple of 60 and r?
1860
Suppose 674 = 5*j - 4*j - 5*h, -j = h - 662. Suppose -44*c + 48*c = j. What is the lowest common multiple of c and 11?
1826
Suppose 25*t - 29*t + 66 = y, -2*y - 44 = -3*t. Suppose -4*h - t = -f, -3*f + 2*h - 3*h = -35. What is the lowest common multiple of 36 and f?
36
Suppose 4*r + 11*h - 64 = 17*h, 3*r - 50 = 5*h. Let q = 7 - 3. Suppose 5*y - q = 11. Calculate the least common multiple of y and r.
30
Find the common denominator of 111/504 + (-10)/60 and -39/224.
224
Let b(a) = a**2 - 9*a + 24. Let p be b(9). What is the smallest common multiple of (-54)/p*-4 + 5 and 18?
126
Let h be (1/(-67))/((-18)/(-1566)). Let r = h + 3751/670. What is the common denominator of r and 25/4?
20
Let u(d) = -26*d + 18 - 3*d + 8*d. What is the lowest common multiple of 2 and u(-2)?
60
Let w(v) = -16*v + 270. Let a be w(17). What is the common denominator of -25/19 and 144/33 - (a + 6 - -1)?
209
What is the common denominator of (1*(-24)/(-4176))/(-2 + 156/75) and 71/48?
1392
Let d = -513 - -493. Find the common denominator of (d/8)/((-40)/24) and -58/7.
14
Suppose 15104 = 60*z - 194863 + 25767. What is the least common multiple of 2149 and z?
21490
Let i(q) = 75*q + 1. Suppose