8
Let p = 1/63578 + 2193341/6357800. What is the common denominator of -33/14 and p?
1400
Suppose 97*b + 42*b - 834 = 0. What is the smallest common multiple of 370 and b?
1110
Suppose -4*p + 13*m + 69 = 14*m, -5*p + 4*m + 60 = 0. What is the least common multiple of 12 and p?
48
Let g(q) be the third derivative of q**4/12 - 2*q**3/3 - 4*q**2. What is the lowest common multiple of 16 and g(8)?
48
What is the common denominator of -37/20 and 1/5*39/(-91)?
140
Find the common denominator of ((-219)/30)/(-1) - (-16)/20 and (-113)/12*(4 - 6).
30
Suppose 2*w + 3*b - 21 - 8 = 0, -5*b = 4*w - 63. What is the smallest common multiple of 92 and w?
1012
Let a be 2 + 1693/(-1696) + -1. Let x = 13783/1696 - a. Calculate the common denominator of -55/4 and x.
8
Let f = -1298/5 + 258. Calculate the common denominator of (-14)/(-8)*(-20)/15 and f.
15
Suppose 5*c + 41 = 3*f, -4*f + 0*c = -c - 32. Let m(u) = 18 + 2 + 6 - u - f. Calculate the lowest common multiple of m(17) and 6.
6
What is the common denominator of -97/550 and (176/(-200))/(6*(-12)/162)?
550
Let k = -139 + 221. Suppose 4*o + t = -o + 106, 0 = 3*o - 4*t - k. Let b = -1 - -3. Calculate the lowest common multiple of b and o.
22
What is the common denominator of (-85)/(-34) - (-30)/16 and 37/96?
96
Let p = -1952746087/1366 - -1429536. Find the common denominator of p and 53/22.
15026
Let u be ((-5)/(-10))/(3/(-48)). What is the least common multiple of 36 and (u - -5)/(0 - 1)?
36
Let z(b) = -b + 3. Let w(c) = 2*c - 6. Let d(i) = 6*w(i) + 10*z(i). Let v be d(4). Calculate the lowest common multiple of 3 and (-4)/(-2 - v) - -9.
30
Calculate the common denominator of -23/56 and 4930/(-200) + (6 - (-122)/(-20)).
56
Let y = 176 + -32. Calculate the smallest common multiple of 162 and y.
1296
Let p = -9552 - -76317/8. Let k = -48 - -524/11. Find the common denominator of k and p.
88
Let o(s) = -s**3 - 5*s**2 - 3*s - 5. What is the lowest common multiple of o(-5) and (20/(-42) - (-1)/7)/((-13)/273)?
70
Let j be (-62)/(-2)*(-2 - -7)*-1. Calculate the common denominator of 35/9 and (0 - -33)*(2 - (-315)/j).
279
What is the smallest common multiple of 74 and (-1)/(2/6) - (-5 + -32)?
1258
Calculate the lowest common multiple of (-1)/((-3)/552*4) and 18.
414
Let d = 33 - 105. Find the common denominator of 137/144 and (-1350)/d + (-1)/1.
144
Let g(h) = 10*h**2 + 2*h. What is the least common multiple of ((-1)/(4/6))/(4/(-8)) and g(-1)?
24
Let j = 78 - 33. What is the common denominator of 81/8 and 498/(-4)*(4/j)/(-4)?
120
Let p(o) = -6*o - 10. Let j(n) = n. Let x(w) = 6*j(w) + 2*p(w). What is the smallest common multiple of 62 and x(-4)?
124
Suppose -c - 3*c = 5*y - 31, -3*y - 7 = -4*c. Suppose 0 = -c*o + 28 - 4. What is the smallest common multiple of 4 and o?
12
Let s = 942 + -6576/7. Find the common denominator of (-145)/(-21) + (-4)/12 and s.
7
Let b = -67 - -69. Suppose -3*r - 2*r + 22 = b*x, -28 = -4*x - 2*r. What is the lowest common multiple of 9 - (2 + 0 - 1) and x?
24
Let r(s) = s**2 - 9*s - 20. Let i be r(-2). Suppose -3*o = 5*b + i*o - 35, 4*b + o - 22 = 0. What is the least common multiple of b and 2?
10
Let i = 18 + -13. Suppose i*t = 2*q - 57389, -6*t = -2*t - 5*q + 45918. Let z = t - -183705/16. Find the common denominator of -41/2 and z.
16
Calculate the lowest common multiple of (8/14)/(0 - (-5)/35) and 120.
120
Let s(y) = -2*y + 84. Calculate the lowest common multiple of 110 and s(-13).
110
Let m = 520467139/7038 + -73951. Let o = -341347/28152 + m. Let p = -743/7 + 106. Find the common denominator of p and o.
56
Let n be -137*(-54 + -2)/4. Suppose 0 = p + q - 965, -4*q - n = -3*p + p. Calculate the common denominator of 9/4 and ((-1)/(-3))/(18/p).
12
Let v(p) = p + 1. Let j(f) = -4*f - 20. Let z(m) = -j(m) - 5*v(m). What is the lowest common multiple of 6 and z(10)?
30
Let u be 1/(-4) + (-423)/36. Let k be u/(-30) - 4/10. Suppose -q - 5*s + 30 = k, 3*s - 32 - 8 = -5*q. What is the lowest common multiple of 9 and q?
45
Let w = -20/797 + 40390/21519. Let i = 15563/6 + -2596. What is the common denominator of i and w?
54
Let u(i) = i**3 + 6*i**2 + 10*i + 5. Let d = -7 + 7. Let z = d + 2. What is the lowest common multiple of u(-2) and z?
2
Let i(d) = 26*d**2 - 12*d - 23. Let f be i(-11). Let o = f + -68423/21. Calculate the common denominator of 71/33 and o.
231
Let v = 46 + -28. What is the common denominator of -33/16 and 1 - (-1 + (-31)/v)?
144
Suppose -216 + 0 = -6*q. What is the smallest common multiple of q and 444?
1332
Calculate the lowest common multiple of 0 + -3 + 10 - -173 and 10.
180
What is the least common multiple of 14/(2 - 4) - 1278/(-18) and 8?
64
Let v(k) = 6*k**2 + 6*k - 9. What is the smallest common multiple of v(2) and 3?
27
Suppose 2*g = -14 - 760. Let n = g + 1525/4. Calculate the common denominator of n and 0 + (-139)/6 + 1.
12
Let x = 4 - -6. Suppose 2 = 5*u + w - x, 5*u = -5*w. Let d = -311 + 322. Calculate the lowest common multiple of d and u.
33
Suppose 3*t = -z - 4, -2*t + 5*z + 0*z = 31. Calculate the common denominator of -29/9 and (2 + t)/(20/(-910)).
18
What is the least common multiple of (-7 - -2)/((-35)/7 - -4) and 165?
165
Suppose -b + 5*x - 30 = -3*b, 3*b - 2*x = 45. Let i = 26 - 23. Suppose 0 = 3*v - b + i. What is the smallest common multiple of 18 and v?
36
Let h = -8350 - -225475/27. Find the common denominator of 28/3 and h.
27
Let f = -6260/21 + 298. What is the common denominator of -149/312 and f?
2184
What is the common denominator of (-40 + 41)/(7/(-9)) and 38/311?
2177
Let t be (-3 + 1079/359)/(-4). Let h = -1845001813/3376892574 + -208/427563. Let l = h - t. What is the common denominator of 8/17 and l?
187
Let j = 1424 + -1422. Suppose 3*n - 4*w + 12 = n, 3*n = w + 7. Suppose y + 18 = n*y. What is the lowest common multiple of j and y?
6
What is the lowest common multiple of 27 and ((-30)/1)/(39 - 40)?
270
Let u(j) = -j - 8. Let n be u(0). Find the common denominator of 72/(-162)*(-82)/n and 8/5.
45
What is the common denominator of 1/(-2) + (275/(-35) - -6) and -2 + 0 + 166/60?
210
Suppose 10*g - 11*g = 2*u - 193, 4*g + 5*u = 763. Find the common denominator of (-34)/g + (-1357)/(-264) + -2 and -37/6.
24
Suppose 2*u - h - 26 = 0, -2*u - 31 = -3*u + 5*h. Let t(x) = -13*x**2 - 62*x + 23. Calculate the lowest common multiple of t(-5) and u.
88
Calculate the common denominator of -73/36 and 3*(2/(-64))/(3/(-244)).
72
Let p be 27/(((-23708)/(-117405))/(-4)). Let d = 255780070985/478937162 + p. Let z = d - 3/3673. Calculate the common denominator of -99/16 and z.
176
Let x = -77843/231120 + -2/2889. What is the common denominator of x and 79/150?
1200
Let i(j) = 6*j**3 - 7*j**2 - 23*j + 7. Let s be i(-10). Let m = -90583/14 - s. Find the common denominator of 81/22 and m.
154
Let o = 1/23805 + 1356829/1333080. Calculate the common denominator of 97/72 and o.
504
Let o be ((-1)/(-2))/(11/66). Let z = -7 + o. What is the least common multiple of ((-20)/(-15))/(z/(-42)) and 6?
42
Suppose 0 = 4*d - 3*a + 612, -d = d + 5*a + 280. Let z = -5 - -3. What is the common denominator of -91/20 and d/16 - (1 + z)?
40
Let d(a) = 4*a - 44. Calculate the lowest common multiple of d(13) and ((-2)/(-3))/((-2)/(-3)).
8
Let x(j) = -4*j. Let q be x(-1). Let r = -2 - q. What is the smallest common multiple of 20 and ((-14)/3)/(2/r)?
140
Let w be 9/(54/4)*-9. Calculate the common denominator of (635/25)/(w/5) and (-3 + -28)*(-3)/10.
30
Let x be (-12)/20 + (-742546)/(-55560). Let o = x + -84/463. What is the common denominator of 243/48 + 1/(-4) and o?
48
Let t(q) = -10*q**2 - 3*q - 3. Let m be t(-1). Let z = m + 55. What is the lowest common multiple of 6 and z?
90
Let j be ((-8 - -6) + 32)*(-1 - 0). What is the smallest common multiple of (-72)/j*20/6 and 1?
8
Let m = -15434 + 848842/55. Find the common denominator of 35/6 and m.
330
Calculate the common denominator of 6/20*113/3 and 61*(60/12)/25.
10
Suppose 4*k + 2*h - 7 = 15, -2 = k + 2*h. Suppose 7*s + k = 11*s. What is the lowest common multiple of 7 and s?
14
Let q(j) = j**3 + 4*j**2 - j + 2. Let t be q(-4). Calculate the common denominator of (-3)/(-9) - 161/t and 28/9.
18
Suppose 0 = 15*i - 16*i. Suppose i = r + 5*r - 384. What is the smallest common multiple of r and 12?
192
Let a = 239/9882 + 571658