ate the common denominator of -173/42 and (-6)/(-2) + -7*(-87)/j.
462
Let r(o) = o**3 + 6*o + 10. Let u be r(0). What is the least common multiple of 75 and 10/(-4)*u/(-25)?
75
Let h be ((-125610)/16 - 1)*(26 + -27). Let o = 7839 - h. What is the common denominator of o and 0 + (-4)/7 + (3 - 0)?
56
What is the least common multiple of -5 + 18 + (-1251)/(-9) and 456?
456
Let r = 30 - 40. What is the common denominator of (-156)/8*r/12 and -9/58?
116
Let s(c) be the second derivative of -431*c**5/5 - c**3/6 + 14*c. Let p be s(-1). Let g = p - 37963/22. Find the common denominator of g and 11/12.
132
Suppose 80*o = -968 + 4328. Calculate the lowest common multiple of 1050 and o.
1050
Let t be (-2)/15 - (-42683)/18960*-4. Let n = 9/316 - t. What is the common denominator of n and ((-4)/6)/((-8)/486)?
6
Let o(u) = -u**2 + 22. Let i be o(-17). Let h = i - -272. Calculate the least common multiple of h and 1.
5
Suppose 0 = 4*a - 4*t - 376, 6*t - 4*t = 3*a - 284. Calculate the smallest common multiple of 216 and a.
864
Let l = -85/3 + 27. Let a be (3*7)/((-50)/(-6200)). Let p = a + -18271/7. Calculate the common denominator of l and p.
21
Let i(k) = -k**2 + 13*k - 9. Let p be i(12). Suppose -p*n = -11 - 4, 3*b - 16 = n. Calculate the smallest common multiple of b and 8.
56
Let s be (-51)/(-2)*(0 + 4). Let o be 3 - (-12 + (3 - -9)). Suppose -s = -o*h - 9. What is the least common multiple of 7 and h?
217
What is the least common multiple of 843 and (-68 + 70)/(1 - 0)?
1686
Let h be 2/(-4) - 2979/(-6486). Let d = h - 137387/103776. Find the common denominator of 189/(-9) - (-27)/(7560/3395) and d.
96
Let d = 39684 + -32512. What is the smallest common multiple of 2608 and d?
28688
Let b = -59 + 78. Let w(p) = -2*p**3 - 3*p**2 - p - 1. Let l be w(-2). Suppose -101 = -l*c + b. Calculate the least common multiple of 16 and c.
48
Let t(z) = z**3 - 25*z**2 - 27*z + 23. Let a be t(26). Find the common denominator of 33/14 and (99/612)/(a*92/(-168)).
5474
Let y(f) = -16*f**3 + f + 1. Let w be y(-1). Let a(o) = 9*o + 0*o**2 + 8*o - 24 - o**2 + o. Calculate the least common multiple of a(w) and 92.
184
Find the common denominator of (-5020)/(-3100) - (2 - (-2 + 2)) and 8/255.
7905
Calculate the smallest common multiple of 440 and 39 + -15 + (-39 - -20).
440
Let z = 45 - -267. Calculate the least common multiple of 663 and z.
5304
Let g = -1/1040 - -55649/9360. Calculate the common denominator of -1*(-3)/(-4) - 1028/(-464) and g.
522
Suppose -37*u - 20480 = -165*u. What is the least common multiple of 21 and u?
3360
Let n(x) = -x**3 - 12*x**2 + 13*x + 3. Let m be n(-13). Let u be m/144*(-482215 - (-20)/4). Let l = u - -10042. Find the common denominator of 61/9 and l.
72
Suppose 0 = -4*d, -2*d = s - 68 + 44. What is the least common multiple of 1756 and s?
10536
Let r(m) = 35*m + 34. Let w(g) = 144*g + 135. Let h(o) = -26*r(o) + 6*w(o). Calculate the least common multiple of 32 and h(-3).
64
Let w be (28/8)/(-1)*2. Let l(h) = h**3 + 8*h**2 + 4*h + 10. Let i be l(w). What is the least common multiple of (6/2 + 2 - 3) + i and 33?
33
Suppose -2*n - 11 = -3*j, 0 = j + 3*n - n - 9. Suppose -585 = -5*c + j*k, 2*c - c - 112 = -4*k. Calculate the smallest common multiple of 20 and c.
580
Calculate the common denominator of (140/(-94))/(-10)*(-4)/36 and -143/1128.
3384
Let l(w) be the first derivative of -6*w**2 + 114*w + 82. What is the common denominator of -38/11 and l(9)?
11
Calculate the least common multiple of 2 and 7068/24 - (-6)/12.
590
Suppose 3*x = 4*j + 278 + 439, -j + 717 = 3*x. Let m = 263 - x. What is the smallest common multiple of 48 and m?
48
Suppose 159*a = 177*a - 6300. Calculate the lowest common multiple of 50 and a.
350
Let g(r) = -3*r**3 + 36*r**2 - 20*r + 26. Let j be g(12). Let l = j + 223. What is the lowest common multiple of l and (-82)/(-6) - 1/(-3)?
126
Suppose -16*i = 13*i + 116. Let o = -6/1517 - 125839/18204. Find the common denominator of 285/(-36) + 6 + i and o.
12
Calculate the smallest common multiple of 378 and 49/((-500)/30 + 17).
2646
Let m(y) = 167*y + 2027. What is the smallest common multiple of m(-10) and 17?
357
Let l = 195 - 27. Suppose -290*x + 280*x = -660. Calculate the lowest common multiple of l and x.
1848
Let a(u) = -16*u + 553. What is the least common multiple of 42 and a(7)?
882
Let r be 4 + (-60)/(-6) + -5. Let f(l) = 2*l - 8. Calculate the least common multiple of f(7) and (r*-2)/(-59 - -57).
18
Suppose -16*m = -20*m + 8. Suppose 5*f + 3 = m*n, 3 = n + f - 2. Suppose -5*y = 3*z - 39, 0 = -0*y + 3*y - 9. Calculate the smallest common multiple of z and n.
8
Find the common denominator of 49/(365*(-6 + (-918)/(-135))) and 5/(1/((-10)/(-24))).
876
Let l(u) = -2*u**2 + 40*u - 170. Calculate the least common multiple of 4644 and l(7).
4644
Suppose 4*v = 3*y + 249 + 122, 0 = 3*y + 3. Let a(b) = -b**2 - 185*b - 1066. Calculate the smallest common multiple of v and a(-6).
184
Let s(w) = -1526*w**2 - w - 1. Let o be 0*(-1)/(-2) + (1 - 3). Let x be s(o). Let r = -61087/10 - x. What is the common denominator of -19/40 and r?
40
Suppose -3*t = y - 0*t + 12, 0 = -2*y + t + 4. Find the common denominator of ((-434)/(-63) - y) + -5 and -12/29.
261
Let z(k) = k**3 + 6*k**2 + 4*k - 5. Let n be z(-5). Suppose 2*x - x - 14 = n. Let v = 14474 - 14458. Calculate the smallest common multiple of x and v.
112
Let b = 400613/35 - 11445. What is the common denominator of -2 + (2/(-8))/(8/(-744)) and b?
140
Let q(u) be the third derivative of u**5/30 - u**4/3 + u**3 + 2*u**2. Let s = 5779 - 5771. What is the smallest common multiple of s and q(6)?
120
Let j be 5 - (-4 + 7) - -103. Suppose 0 = 5*h - 68 - 12. What is the smallest common multiple of h and j/9 - (-5)/15?
48
Let q be (1 + 215/(-25))*-60. Let k = q - 408. What is the smallest common multiple of 16 and k?
48
Let r = 8358556/595 + -14048. Let y = r - 12249/1190. Let t = 16 - 58. Find the common denominator of t and y.
10
Suppose 41*k = 27562 - 7554. Calculate the least common multiple of k and 16.
976
Suppose 144*q - 3619 = 4589. What is the lowest common multiple of 21 and q?
399
Suppose 0 = -5*x - 13*f + 16*f + 8, -3*x = -5*f - 8. What is the lowest common multiple of 402 and x?
402
Let r(u) = u**3 - 2*u**2 + u - 2. Suppose 5*n - 10 = -5*q, -n - 10 = -3*n + 4*q. Let z = 122062 + -122056. What is the least common multiple of r(n) and z?
30
Suppose 4*a - 5*o = -2*o + 6, -3*o = -a + 6. Suppose -4*r - j + 51 = -a*j, 3*r + 4*j - 35 = 0. Calculate the least common multiple of 8 and r.
104
Suppose -72 = -186*d + 184*d. Suppose -13*s - 484 = -15*s. What is the smallest common multiple of 2/(-6) + s/6 and d?
360
Let q be -4 - -7 - (25 + -3). Calculate the common denominator of -17/92 and q*((-2)/4 + (-20)/(-50)).
460
Let i = 7/608 - -151/912. Find the common denominator of i and -35/144.
288
What is the common denominator of ((-54)/322)/((-214)/749) and ((-3 + 5)*17)/((-128)/(-24))?
184
Let m be (-20)/(-10) + (3 - -1). Let y(h) = 2*h**2 + 2*h - 8. Let p be y(m). What is the common denominator of 311/p + -2 + -1 and -35/8?
152
Let a = 9647/161364 - 1/3842. Find the common denominator of a and 149/84.
84
Suppose -16 = -3*i - 16. Suppose -10*p + 79 - 49 = i. What is the least common multiple of p and 6?
6
Suppose -134 = 19*c - 172. Calculate the least common multiple of 180 and c.
180
Let g be (11/3 - 1)*36/24. Suppose 19 = j - s, -j + g*s - 68 = -6*j. Suppose -c = -4*l - 6*c + 32, j = 2*l - 3*c. What is the least common multiple of l and 6?
24
Find the common denominator of (-4)/472*16/(-42)*-2 and -28/3.
1239
Let v = -27 + 103/4. Let a = 36/3373 - -220303/532934. Find the common denominator of v and a.
316
Suppose -40*k + 38*k - 306 = 0. Let q = 158 + k. Suppose 0*b = -3*i + q*b + 128, -2*i = 3*b - 60. What is the smallest common multiple of 15 and i?
180
Let z(v) = -4*v - 4. Let u(s) = -133*s - 401. Let f be u(-3). Calculate the smallest common multiple of z(-4) and f/((-138)/18 - -7).
12
Let w = 134 + -112. Find the common denominator of 95/6 and 24/w*(-546)/378.
66
Let w(l) = l**2 - 39*l - 46. Let v be w(30). Let a = -293 - v. Calculate the smallest common multiple of a and 10.
230
What is the common denominator of -6 + 20/((-89280)/(-26502)) and -133/12?
744
Suppose 29*i + 8 = 25*i