g). What is the common denominator of -86/15 and 2/a + -4 + 254/30?
15
Suppose -6*b + 11*b + 4*f - 138 = 0, 3*b - 102 = 4*f. Suppose 75 + 165 = 40*a. What is the lowest common multiple of b and a?
30
Let p = -1/1762 - 73121/3524. Let r = -56541088362767/76280 - -3706154194/5. Let z = 2/1907 + r. What is the common denominator of p and z?
40
Let f(r) = 4*r**3 + 37*r**2 + 72*r - 24. What is the least common multiple of f(-6) and 1104?
1104
Let q be 7045/52*4/(-120)*3. Let r = -21/104 + q. Calculate the common denominator of -13/8 and r.
8
Suppose -r - 2*l = -28, -2*r - 7*l = -2*l - 55. Calculate the least common multiple of 28 and (-36)/((12/30)/((-8)/r)).
168
Let i = 4 - 3. Let j be 4/(((-4)/i)/68). Let z = j + 101. What is the smallest common multiple of z and 30?
330
Suppose -4*p - 4*v + 36 = 0, -16 = -3*v - v. Suppose -p*l = -19 + 4. Find the common denominator of l/(-5) + (4 - 603/(-30)) and -89/20.
20
Let g(m) = m**3 + 11*m**2 + m + 33. Suppose -11*q - 121 + 0 = 0. Let i = -67 - -197. Calculate the least common multiple of g(q) and i.
1430
Let z = -1509/2 + 7467/10. What is the common denominator of 14402/(-1160) + 204/272 + 12 and z?
290
Let d be (-60)/(-14)*322/(-23). What is the common denominator of (-3 + (-178)/d)/((-6)/(-1185)) and 35/34?
204
Suppose 6*y + 71 = 1253. Calculate the common denominator of -8 + y/(-110)*-5 and -43/10.
110
Calculate the common denominator of 3/(-273)*550 + 6 and ((-6536)/14364)/(-3*4/(-18)).
819
Let k be (-117)/(-23) + (-66)/759. Suppose -2*m - k*i + 163 = -117, 0 = 3*m + 5*i - 410. What is the smallest common multiple of m and 45?
1170
Let z(f) = -f**2 + 28*f + 4. Let r be z(28). Suppose -r*j - n = -4*n - 176, -4*j + 2*n + 176 = 0. What is the least common multiple of j and 8?
88
Let b(r) = -r + 12. Let g be b(14). Let d = 4 + g. Suppose d*z - 90 = -46. Calculate the smallest common multiple of z and 4.
44
Suppose 3*w - 3*c - 21 = 6, 0 = 4*w + 4*c - 44. Suppose 16*u - w = 22. Let v(y) = y**3 - 3*y**2 - 4*y + 4. What is the smallest common multiple of u and v(4)?
4
Let u = -63969 - -1279473/20. Let x = 279453/624200 + 54/3121. Find the common denominator of u and x.
200
Suppose -3*g + 16 = 4*u, 2*u - 5*g - 32 - 2 = 0. Suppose -x - 2*x + 9 = h, 2*x + 5*h + 7 = 0. Calculate the common denominator of 17/10 and 58/(-2) + (x - u).
10
Let a(m) = -m**3 + 8*m**2 - 16*m + 7. Let s be a(4). What is the common denominator of 7/4 and ((-119)/136)/(s/(-5) - -2)?
24
Let f = -39701/64890 + 86/927. Calculate the common denominator of 33/112 and f.
1680
Suppose u + 5 = 2*o - 9, -o + 34 = -2*u. Calculate the least common multiple of (2/(-9) - 4/u) + 2 and 26.
26
Let p(z) = 66*z + 1554. What is the lowest common multiple of 286 and p(-20)?
2574
What is the common denominator of -137/120 and (22/(-2200)*-5)/((-5)/38)?
600
Let q = -494 + 405. What is the common denominator of 121/222 and (q - -81) + 462/40?
2220
Let i(c) be the first derivative of c**4/4 + 5*c**3/3 - 4*c**2 - 18*c + 58. Let o = -58 + 92. What is the least common multiple of i(-5) and o?
374
Let x be (80/(-204))/(-4) + (-14)/42. Let q = 95/187 + x. Find the common denominator of q and 56/55.
55
Suppose -303 = -5*a + 97. Let v = a + -78. Calculate the common denominator of 55/16 and -1 + 2 - (v + 20/3).
48
Let p(m) = -m**3 + 18*m**2 - 43*m + 14. Suppose 3*i - 2 + 23 = 0. Let n = i + 27. What is the smallest common multiple of n and p(15)?
220
What is the common denominator of -8 + -4 - ((-135)/144 - 11) and -61/14494?
115952
Let z = 7/9 + 157/18. Find the common denominator of (-4988)/948 + -1 - (25 + -31) and z.
474
Suppose 0 = 2*z + 4*a + 110 + 170, 134 = -z - 5*a. What is the common denominator of (-5)/2*(-1)/(z/153) and 53/8?
32
Suppose 2*w = q + 462 - 8, 0 = 3*w - 4*q - 681. What is the smallest common multiple of w and 5?
1135
Let o be (-9517902)/(-16640040) + -1 - 1/(-5). Let v = -3/12058 + o. What is the common denominator of v and 13/12?
276
Let p = -6307/18 + 355. Calculate the common denominator of p and (-154)/342 + 5/(-380)*8.
18
Suppose 247 = 4*o + 5*s - 1408, -s - 5 = 0. Suppose 39*u + o = 1395. Calculate the lowest common multiple of 105 and u.
525
Let l(w) be the first derivative of -3*w**2 - 50*w + 101. Calculate the least common multiple of 88 and l(-10).
440
Suppose 16*n = 53*n - 2812. What is the smallest common multiple of 760 and n?
760
Suppose 5 = -p + 4*a + 19, 13 = 5*p - a. Let b be (-1 + p + -1)/(26 + -27). What is the common denominator of 1/32 and (((-5915)/(-10))/(-13))/(b + -4)?
32
Let k be ((-20)/(-6))/((3/(-27))/1). Calculate the common denominator of k/6 + 411/42 and (63/6)/((-2)/(-3)).
28
Suppose 5*l + 49 = 64. Suppose 4*q + 28 = 4*s - 0*q, -4*q = 16. Suppose -s*u = u - 84. Calculate the least common multiple of l and u.
21
Let r = -17826 + 18492. What is the least common multiple of 24 and r?
2664
Let j(u) = 33*u - 4. Let z(c) = 33*c - 4. Let h(p) = -5*j(p) + 6*z(p). Let x be h(-6). What is the common denominator of -101/20 and (x/32)/(13/(-13))?
80
What is the common denominator of -71/102 and -12 + (36760/2976)/1?
6324
What is the smallest common multiple of 918 and (-54)/((-128)/(-448) + (-73)/231)?
30294
Let x(v) = -3*v + 24. Let r be x(7). Let o(h) = h - 2*h - 30 + 28 - 3*h**2 + h**r + 0*h**2. Calculate the smallest common multiple of o(4) and 10.
10
Suppose 15 = 20*l + 31*l - 240. Calculate the lowest common multiple of l and 6684.
33420
Let a be ((-1)/6)/(((-1949400)/3393112)/(-9)). Let r = a - 2/9025. Find the common denominator of -31/24 and r.
72
Let b = -1/1231 - -65261/22158. What is the common denominator of -103/660 and b?
1980
Let l(q) = -34*q**2 + 125*q - 93. Let x(v) = -v**3 + 6*v**2 - v - 5. Calculate the lowest common multiple of l(2) and x(5).
105
Calculate the common denominator of ((-4)/(-10))/(14/133) + -1 and -4 + 45/12 - 380/(-288).
360
Let y be (-6)/(-57) - 916/38. Find the common denominator of -27/50 and (-69)/60 + 5*(-6)/y.
50
Suppose 2*z - 14 = l, 2*l + 83 = -5*z + 82. Calculate the lowest common multiple of z and (-2)/7 - 1*(-180)/42.
12
Let c(w) = -w**3 + 9*w**2 + 43*w - 28. Let s be c(12). Suppose i - 93 = -2*g, 53*i - 4*g = s*i - 285. What is the smallest common multiple of i and 36?
396
Let c = -8561145/8 + 37407107/36. Let o = 31056 + c. Calculate the common denominator of -9/56 and o.
504
What is the common denominator of (-116)/(-36) + -3 - 3544/(-3600) and 101/1000?
3000
Suppose 0 = 5*w + 1965 - 295. Let d = -270 - w. What is the lowest common multiple of 96 and d?
192
Find the common denominator of 14559/(-2079) + 3 + -1 + (-35)/(-7) and 7/18.
1386
What is the common denominator of 149/7650 and (112/(-240))/((-546)/510 - -1)?
7650
Find the common denominator of (1512/(-1820))/(((-784)/105)/(-14)) and -163/672.
8736
Suppose 23 = 2*k + 7. Let p = -49 - -47. Calculate the least common multiple of k and (10 - 45/10) + p/(-4).
24
Let n = 314 - 310. Suppose 41*v + 3*g = 38*v + 294, 3*v + n*g - 291 = 0. What is the smallest common multiple of v and 4?
404
Let h = 142 - 362. Let r be (-1 - (-1 + 2))/(8/h). Let c = r - 51. Calculate the lowest common multiple of 2 and c.
4
Let f = 1884 + -28226/15. What is the common denominator of f and (90/75 - (-52)/5)/(18 + 3384/300)?
1830
Calculate the common denominator of -13/9 and (8/64*-4)/((-188)/(-328)).
423
Let i(h) = 28*h**2 + 2*h - 27*h**2 + 5 - 4*h. Let y be i(5). Calculate the lowest common multiple of (-3 - (-92)/y)*30 and 6.
48
Let v = 30775975558210594/535 + -57525214002586. Let b = 26043325 + v. Let u = b - -28/107. Find the common denominator of u and 48/7.
35
Let a = -384760672963/96 - -4007978896. Let t = a + -55220. Calculate the common denominator of 107/96 and t.
96
Let k be ((-44)/198 + 76259/9)/(-6). Let j = k - -1408. What is the common denominator of ((-18)/22)/((-4)/(-10)) and j?
66
Let g = -14 - -17. Suppose -g*a = -8*a. Suppose a*q - 26 = -2*q. Calculate the least common multiple of q and 9.
117
Let v = 120/101 + 144/1919. What is the common denominator of 3*25*3/(-12) and v?
76
Let p = 60319/10 - 6035. Suppose -4*t - 28 = 36. Calculate the common denominator of p and -2 + (-2)/t*-83.
40
Let b = 4 - 2. Suppose -79*j = 74*j - 149*j - 80. Calculate the lowest common multiple of b and j.
20
What is the lowest common multiple of