 s?
12456
Suppose 7*r + 77 - 63 = 0. Calculate the common denominator of (8/(-3) - r) + 3516/3744 and 6/11.
3432
Let u(h) be the third derivative of -h**6/120 - h**5/6 - h**4/12 - 3*h**3 + 121*h**2. Calculate the least common multiple of 32 and u(-10).
32
Let m = -30149/4 - -7491. Let i = m - -377/12. Calculate the common denominator of 0 - ((-861)/10)/7 and i.
30
Let a = 801 - 81. Find the common denominator of -71/32 and (-1986)/a - (-4 + (-100)/(-24)).
160
Let c = 79586233 - 2386684259/30. Let r = -30088 + c. Calculate the common denominator of -123/70 and r.
210
Suppose 1546 = -4*u - 5*j, u + 8*j = 3*j - 394. What is the common denominator of 2/(-4) - 1760/u and 25/48?
48
Let d = -14222 - -14919. Calculate the least common multiple of 187 and d.
7667
What is the least common multiple of 1 + 15/(-20) + 27972/48 and 24?
13992
Suppose -46*h - 135747 - 632729 = 0. Let u = h - -601379/36. Calculate the common denominator of 55/12 and u.
36
What is the common denominator of 38/3 and ((-3)/2)/(21 + (-42573)/1564)?
141
Let g(t) = -10*t**3 + 7*t**2 + 32*t + 31. Calculate the smallest common multiple of g(-5) and 8.
1296
Let o = 2020 - 10057/5. Find the common denominator of -11/1031 and o.
5155
Suppose 147*a - 98 = 140*a. Let o(p) = 3*p + 21. What is the smallest common multiple of 99 and o(a)?
693
Suppose 0 = -3*m - 2*g + 353, 3*m - 4*g + 343 = 6*m. Let k = m + -119. Let r = -3 - -4. Calculate the least common multiple of k and r.
2
Let c = 205 + -205. Suppose -7*b - 14 = -m - 2*b, c = -3*m - 2*b + 8. What is the least common multiple of m and 10?
20
Suppose l - 8 = d - 26, 2*d - 50 = -5*l. Let j be ((-309)/(-206))/(6/776). Suppose -17*y + 146 = -j. What is the lowest common multiple of y and d?
20
Let d = 30 + -18. Suppose x + 185 = 5*c, 313*c - 67 = 311*c - x. What is the least common multiple of c and d?
36
Calculate the common denominator of 20/(-135)*(10 - 906/90) and -48/85.
6885
Let u = -2958335/513608 + 3450/589. Find the common denominator of u and -81/872.
872
Find the common denominator of 71/35 and 4 + 3 + (-4248)/392 + (7 - 3).
245
Let a = -16747/2 + 4538467/542. Let j = a + -6955/3252. What is the common denominator of 1/5 + 1330/1350 and j?
108
Suppose 0*s + 2 = s, -34 = -2*y - s. What is the least common multiple of y and 36?
144
Suppose 29*j = 23*j + 450. Find the common denominator of 33/62 and j/8 - (21/(-28) + 0).
248
Let a(m) = m**3 - 11*m**2 - 59*m - 11. Calculate the least common multiple of a(17) and 1530.
12240
Let o = -29669 - -16907. Let u = 408319/32 + o. Find the common denominator of 41/44 and u.
352
Let k be (6/(-378))/((-4)/8944878). Let x = 35492 - k. Find the common denominator of x and 7/12.
84
Calculate the common denominator of (-7)/21*1734/2873 and -56/663.
8619
Let w(o) be the first derivative of -o**2/2 + 31*o + 99. Suppose 0 = -9*j + 4*j + 65. Calculate the least common multiple of w(j) and 12.
36
Find the common denominator of 127/1500 and ((-3)/60)/((-4320)/2208).
4500
Find the common denominator of (-924)/88 + 753896/71800 and -27/7.
125650
Let t = 63 + -58. Let i be (-3)/((-2)/t - 52/(-280)). Suppose -4*q = -5*f + 28, 3*f = 3*q - 2*q + i. What is the least common multiple of 2 and f?
4
Let j = 7995 - 7987. What is the lowest common multiple of j and 558?
2232
Let i = 64400095/204 - 315686. Calculate the common denominator of -66/85 and i.
1020
Let i(a) = 7*a**2 + 23*a + 10. Let h(t) = -19*t**2 - 69*t - 26. Let q(j) = 4*h(j) + 11*i(j). Let v = 39 - 16. What is the lowest common multiple of q(v) and 24?
24
Suppose 92*j - 113431 - 230189 = 0. Calculate the least common multiple of j and 33.
41085
Suppose 0 = 20*o - 204427 + 204147. Suppose 0 = 5*z - 116 - 294. What is the lowest common multiple of z and o?
574
Let u = -21880 + 524971/24. Let n(v) = v**3 + 10*v**2 + 18*v + 36. Let z be n(-8). Find the common denominator of (-12)/z + 534/40 + 2 and u.
24
Let i(z) = 19*z**2 - 1. Let q be i(1). What is the common denominator of (-4528)/3120 - 2/(-5) and 6/27 + (-259)/q?
78
Suppose -120 = -56*j + 58*j. What is the lowest common multiple of 20 and 0 + -3 + 4 + j/(-4)?
80
Find the common denominator of (-51)/(-14) - (2 - (0 + 0)) and 85/4.
28
Suppose 0 = -u + p + 2, -8*p + 64 = 17*u - 15*u. What is the least common multiple of u and 5504?
5504
Suppose -5*q + 2 = -13. Let l(n) = -10*n + 48. Let x be l(6). Let z(y) = -y**3 - 9*y**2 + 38*y + 48. What is the least common multiple of z(x) and q?
24
Let q = 16/3 + -97/21. Find the common denominator of (-13)/(312/90) + 4 - (-73)/(-12) and q.
42
Let p = 4 - 0. Let g = -36 - -43. Suppose 9 + g = 2*x. What is the smallest common multiple of x and p?
8
Let i(b) = 3*b + 55. Let g be i(-18). What is the common denominator of 74/15 and 298/132 - (6/4 - g)?
165
Suppose -10*a + 32 = 12. What is the least common multiple of 21 and 5 + (-2 - -109*2/a)?
336
Let w(d) = -d**3 - 3*d**2 + 9. Let v be w(-3). Suppose 2*s - v*s = -28. What is the common denominator of 46/11 and (3/75)/((-5)/(-950)*s)?
110
What is the least common multiple of 21 and (((-14)/(-3))/1)/((-98)/(-829521)*11)?
3591
Let m = -40 + 35. Let t be m/2*(-8)/(-10). Let n(c) = 11*c**2 + 6*c + 2. What is the least common multiple of 6 and n(t)?
102
Let g(l) = -l**3 + 15*l**2 - 13*l + 152. Calculate the least common multiple of g(12) and 40.
4280
Let i(v) = 2*v**2 - 189*v - 1081. What is the lowest common multiple of 750 and i(-6)?
750
What is the common denominator of (-154)/360 + -137 + 137 and 103/80?
720
Calculate the common denominator of 79/189 and (-462)/(-5544) - (((-26445)/27972)/1 - -1).
6993
Suppose -2*j = -2*t + 10, 20 + 4 = 4*t - 3*j. Suppose t*d + 24 = 8*d. What is the common denominator of 79/14 and 107/(12/3 + d)?
140
Let m = -9187/210330 - -31/1558. What is the common denominator of 92/285 and m?
2565
Suppose 13*y - 5 = 12*y. Suppose -y*i + 3*i = -18. Calculate the lowest common multiple of (-6)/8*-4 + 28 and i.
279
Let z(g) = 84*g**2 - 2*g - 1. Let h be z(-1). Suppose 6*s + h = s. Let q = 19 + s. Calculate the lowest common multiple of q and 3.
6
Let q be (-35)/(-7) + 0 + 50/(-2). What is the common denominator of -69/8 and -126*(8/q - (-17)/40)?
40
Find the common denominator of 27/100 and (-83772)/(-80080) + 6/(-33).
700
Let x be 328/82*((-58031)/30 + 0). Let s = x - -7732. Find the common denominator of s and 145/24.
120
Let g be -24 + 8/(4/(-8)*4). Suppose -4*p + 228 = 4*r + 48, -2*p = -5*r - 69. Calculate the common denominator of ((-770)/g)/(p/4) and -19/5.
105
Let d = 1056 + -1024. Calculate the lowest common multiple of d and 8.
32
Let t = -212345 - -70074053/330. Calculate the common denominator of t and -167/2640.
2640
Let s(m) = -m**3 - 6*m**2 - m - 24. Let g be s(-7). Suppose -g*h + 31*h + 5 = 0. What is the least common multiple of 9 and h?
45
Let s = 26207/99360 + -29/2484. Calculate the common denominator of 1/128 and s.
1920
What is the common denominator of -181/1200 and ((-33)/(-990))/((-4)/(-246))?
1200
Let s = 611/116 - 108609/232. Let r = s - -457. What is the common denominator of (-38)/3*(-4 - 1795/(-460)) and r?
184
Suppose 0*m = -5*d + 2*m + 3423, 4*d + 2*m - 2724 = 0. Let a = d + -1339/2. What is the common denominator of a and 3 + (-10)/4 - (-891)/270?
10
Let j(w) = 29*w**3 - 2*w**2 + 3*w - 2. Let k be j(1). Suppose 23*q + 25 = k*q. Suppose -q*y + 108 = 7*y. What is the least common multiple of 30 and y?
90
Let k(q) = -11*q - 81. Let i be k(-7). Calculate the common denominator of ((-9)/30)/(72/30) + i and -49/158.
632
Let d be (-481892787)/(-1164) + -1 - 6. Let x = d + -413990. Calculate the common denominator of -107/12 and x.
1164
Let g = 3/55825 - -442067/84351575. Let s = -68131/25687 + g. Find the common denominator of s and ((-58)/21 - -2) + 9/21.
51
Let p = -44465311/1768 + -505461/104. Let v = p - -30008. Calculate the common denominator of -47/4 and v.
68
Let u = -5966 + 6046. Calculate the least common multiple of u and 100.
400
Let o(j) = 81*j - j**2 + j**3 - 81*j. Find the common denominator of 61/5 and o(3).
5
Let b(z) = -z + 28. Let v(o) = -o + 31. Let t(u) = 5*b(u) - 4*v(u). What is the smallest common multiple of 33 and t(10)?
66
Let f be (-1 - (-46 + -1 - -2)) + 1. Let y = -42 + f. Suppose -4*q - 4 = -y*q, j = 5*q - 29. Calculate the common denominator of