 s be 27/36*15874/(-36). Let g = 2057/6 + s. Let t = -2107 + 25213/12. Calculate the common denominator of g and t.
24
Let p be 2/10*12175790/(-748). Let f = p - -3256. Find the common denominator of (-2)/(-24)*159/3 and f.
204
Let v be (-645)/18 + (-5)/30. Let h be (-4 + v/(-8))*-26. Calculate the lowest common multiple of 12 and 632/52 + 2/h.
12
Suppose 2*q + 22 = 2. Calculate the common denominator of 6 + q - 1*62/4 and 17/20.
20
What is the common denominator of (-8)/(2 + 2) + 21216/10114 and 107/6?
2334
Let v = 47426392/545 - 87021. Find the common denominator of -95/6 and v.
3270
Let r = 26 + 7. Let k = -91/9 - -250/9. Calculate the common denominator of r and k.
3
Let u be 352/77 - (-3)/7. Suppose -10*l - 2*y = -u*l - 98, -4*y + 88 = 4*l. What is the smallest common multiple of l and 10?
90
Calculate the common denominator of 2/(-4) - (-12)/(-22) and 4 - (654/72 + -7) - 1.
132
Suppose 0 = 11*k + 371 - 525. Calculate the smallest common multiple of k and 35.
70
Let u = -10 + 3. Let s be 0 + (19650/u)/(-2). Let t = s + -1406. What is the common denominator of t and 46/5?
35
Suppose -7*r + 16 = -l - 12*r, 3*r + 33 = 2*l. Calculate the least common multiple of 34 and l.
306
Suppose -4*w - 150 = -262. Calculate the smallest common multiple of 19 and w.
532
Let f(i) = i**3 - 12*i**2 - 11*i + 14. Let j be f(12). What is the common denominator of -23/14 and j/(-3)*6/72?
126
Let y(d) = -d**2 - 10*d - 7. Let v be y(-9). Suppose 0 = 4*w - 14 + v. What is the lowest common multiple of w and 11?
33
Let n = 6/10853 - -1356193/781416. What is the common denominator of n and -97/80?
720
Let b = 7997/35720 + 1/893. What is the common denominator of -2 - ((-145)/18)/(-5) and b?
360
Calculate the common denominator of -30*(4 + 234/(-56)) and -11/6.
42
Let i = 5 + -9. What is the smallest common multiple of i + 23 - (-2 - -4 - -2) and 7?
105
Let l = -4504/5 - -897. What is the common denominator of l and 19/11?
55
Let u(m) = -23*m**2 - 4*m - 11. Let a be u(-2). Let t = a + 880/9. Find the common denominator of -113/18 and t.
18
Let h = -9607/1650 - 3/275. Find the common denominator of h and -29/1360.
4080
Let n be -3 + (6910/100)/(4/(-10)). Let z = -191 - n. Let i = -6/143 - -1746/715. Find the common denominator of z and i.
20
Suppose -2*y = 5*z, 2*z = 4*y + y + 29. Let v = 27 - 23. Calculate the smallest common multiple of v and (z - -5) + (-6)/2.
4
Let n = -6178 - -61699/10. Find the common denominator of n and (-9)/(-6) - 86/(-28).
70
Let i(h) = -h**3 + 5*h**2 + 4*h - 6. Calculate the smallest common multiple of (-172)/(-8) + (7/2)/7 and i(5).
154
Let a(j) = -4*j. Let d be a(9). Calculate the common denominator of 91/6 and 45/d*(-14)/(-40).
48
Let n = -46 - -64. What is the smallest common multiple of n and (9*-1)/((77 - 83)*(-1)/(-8))?
36
Calculate the common denominator of (-52)/12*(-3)/15 and 92/45.
45
Let i = -1 - -3. Let a(d) = -3*d - 2 - 2*d**3 + 3*d**3 + 2*d**2 + d. Calculate the least common multiple of a(i) and 4.
20
Let u = -3 + 7. Suppose 13*k - 61 = -9. Calculate the lowest common multiple of k and u.
4
Let l = 8174 + -359581/44. Calculate the common denominator of 31/28 and l.
308
Let o = 12 + -10. Calculate the lowest common multiple of -6 + 11 + -6 + 15 and o.
14
Suppose -4*c = -0*c - 16. Suppose 20 + 44 = c*i. What is the lowest common multiple of i and 17 + 2/(-1) - -3?
144
Let u = -377 + 391. What is the least common multiple of 142 and u?
994
Let g be (6/(-30))/((-54)/(-2415)). Let f = g - -419/72. Calculate the common denominator of (-3)/(-8)*68/(-18) and f.
24
Find the common denominator of 55/464 and (-158)/32 - (-1 - 3).
464
Let o be 66439/16 + -4 + 0. Suppose 0 = -2*i + 237 - 8543. Let u = i + o. Calculate the common denominator of -57/10 and u.
80
Suppose -59 = 8*u + 5. Calculate the lowest common multiple of 10 and 510/25 - u/(-20).
20
Let f = 342 - 314. Calculate the lowest common multiple of f and 44.
308
Calculate the common denominator of -87/310 and -3 + 7 - ((-2739)/18)/(-11).
930
Suppose -4*m + 1190 = 30*m. What is the lowest common multiple of 70 and m?
70
Let c = 9479 - 6295. Let i = 101905/32 - c. Find the common denominator of i and 33/4.
32
Suppose 9*z - 3*z - 18 = 0. Let o = z + 0. Calculate the smallest common multiple of (-1)/(-2)*(-4)/(-2) and o.
3
Let s be (-6)/24 + (-1)/(-4). Suppose 4*z + 0*z + 1240 = s. What is the common denominator of z/28 + 12/4 and 53/12?
84
Let u = -903/380 - -1/760. Calculate the common denominator of 13/12 and u.
24
Let o be (-918)/(-126) + (-2)/7. Suppose 9*s = o*s - 84. Find the common denominator of s and 9/11.
11
Let c(m) = 4*m**2 - 12*m - 28. Calculate the smallest common multiple of 40 and c(-3).
440
Suppose 0 = 61*u - 57*u - 276. Calculate the least common multiple of u and 12.
276
Let x(q) = 2*q**2 - 5. Let i be x(2). Suppose 1 = -i*s + 4. Find the common denominator of 2 + s + (-36)/15 and 22/5.
5
Suppose -8*f = 9*f - 68. Calculate the smallest common multiple of 145 and f.
580
What is the common denominator of (-36)/(-66) - (-11010)/(-8448) and -37/20?
640
Let v be ((-3)/6)/(7/(-1336)). Let s = v + -175691/1841. Let y = s - -21305/526. Calculate the common denominator of -1/16 and y.
16
Let v be 8*(-3)/(-18)*6. Suppose 15 = -3*c + v*c. What is the smallest common multiple of ((-3)/(c/8))/(-1) and 1?
8
Let u(r) be the first derivative of r**4/4 - 5*r**3/3 - 5*r**2/2 + 8*r + 4. Let a(h) = -h**2 - 4*h + 11. What is the least common multiple of a(-5) and u(6)?
42
Let p be 3911826/(-1216488) - (-6)/(-39). Let j = p - 13/557. What is the common denominator of 33/8 and j?
56
Let m(a) = a**3 - 7*a**2 + 5*a + 10. What is the least common multiple of 36 and m(7)?
180
Suppose 5*x + 4*l = 2261, -179 - 724 = -2*x - 3*l. What is the least common multiple of x and 7?
3171
Let r = 30437/9 + -3375. Calculate the common denominator of (-4)/(-3)*(-33)/34 and r.
153
Let s = 79 - 40. Suppose s = 5*z - 31. Let g(y) = -y**3 + 5*y**2 + y + 1. Calculate the lowest common multiple of z and g(5).
42
Let d(h) = -3*h**2 - 28*h - 3. Calculate the least common multiple of 10 and d(-9).
30
Suppose 5516 = 15*t - 5284. What is the least common multiple of t and 9?
720
Let r = -20 - -25. Suppose 0 = s - r*o + 2*o - 12, 10 = s - 2*o. What is the least common multiple of 17 and s?
102
Let o(w) be the first derivative of -5*w**2/2 - 81*w + 56. Calculate the smallest common multiple of (2/6)/(2/12) and o(-17).
4
Let l be (12 - 6)*1/2. Suppose 3*y + l*h - 24 = 0, 0 = 3*y + 6*h - 2*h - 22. Calculate the least common multiple of 3 and y.
30
Suppose -4*d - 3*l = -166, -15 = -d + l + 23. Let i be -1 + 4 + -1 - 0. Suppose -7*r + d = -i*r. Calculate the lowest common multiple of r and 8.
8
What is the common denominator of -69/22 and 2*(-2)/(-14) + 2838/(-84)?
22
Let g = -1383 - -1499. What is the least common multiple of g and 174?
348
Suppose -36*n + 31*n - 5 = 0, 0 = -p - 4*n + 287. Calculate the lowest common multiple of p and 15.
1455
Let o = 83726 - 501145/6. Let c = o + -2287/12. What is the common denominator of (-177)/24*-2 + -4 and c?
4
Let w(i) = -12 + 176*i**2 - 91*i**2 + 31*i - 88*i**2. What is the smallest common multiple of 30 and w(9)?
120
What is the common denominator of 2/((-950)/487) + (-100)/(-950) and -3/8?
200
Let u(t) = 9 - 3*t**2 - 5*t**3 - 7*t - 12*t**2 + 4*t**3 + 2*t. Let c be u(7). Calculate the common denominator of -40 and (3/8)/((-108)/c).
6
Suppose -l + 4*r = -12, -4*l - 16 = -r - 4. Let h(n) = 5*n + 26. What is the smallest common multiple of h(l) and 8?
24
Let f be (2*-2 - 3)/1*2. Let o = 3 - 16. Let r = o - f. What is the smallest common multiple of r and 1?
1
Suppose -3*l = l - 56. Calculate the lowest common multiple of 328/l - 52/(-91) and 24.
24
Let k(p) = 2*p**2 - 1. Suppose 3*w + 4 = 5*w. Let j(x) = -10*x**3 + x + 1. Calculate the lowest common multiple of k(w) and j(-1).
70
Suppose -5*d = -2*p - 27, -2*p - 4*d = -7*p - 110. Let s = p - -30. Calculate the lowest common multiple of s and 6.
12
Suppose -2*c = -3*d - 1235 - 401, 4*c - 3264 = 2*d. Let i = -4786 + 66961/14. Calculate the common denominator of -3 - (c/18)/(-5) - 3 and i.
126
Let h = -209279/16 - -13075. Suppose 2*a - 120 = k, 0*k - 240 = 2*k - 5*a. What is the common denominator of (-205)/k - (-2)/(-8) and h?
48