 20 = 0, -2*o - 3*n + 4 = f. Calculate the lowest common multiple of 53 and o.
424
Suppose 29*w = -29*w + 8120. What is the smallest common multiple of 140 and w?
140
Suppose 0*m + 2 = m. Let u = -77 + 79. Suppose 7*v - u*v = 10. Calculate the least common multiple of m and v.
2
Suppose -2*m = g - 11530 - 10934, 3*m + 4*g - 33696 = 0. Let j = -202097/18 + m. Find the common denominator of -67/20 and j.
180
Let x = 11/32 - -91/96. What is the common denominator of x and 43/84?
168
Let r(j) = -j**2 + j - 1. Let i(c) = -3*c**2 + 5*c - 1. Let f(h) = i(h) - 2*r(h). Let n be -2*(18/4)/(-3). Calculate the lowest common multiple of f(n) and 4.
4
Let f(v) = -v**3 + 5*v**2 + 7*v - 3. Let d be f(6). Suppose 0 = -4*y + 12 + 24. Calculate the lowest common multiple of y and 24/d + 2/1.
90
Let c(t) = -6*t**2 - 36*t + 9. What is the smallest common multiple of c(-6) and 213?
639
Let m(z) = -z**2 + 7*z - 12. Let g be m(4). Calculate the smallest common multiple of (3 + (-39)/6)*(g + -6) and 9.
63
Suppose 2*h + 62 = 2. Let w = h - -31. What is the smallest common multiple of w and 4?
4
Let f = -51 - -46. What is the common denominator of f/9*(-285)/30 and -37/12?
36
Let v be (1/2)/((-2)/(-44)). Suppose 0 = 6*h - v*h + 60. Suppose 3*p + 0*p + h = 3*s, 2*s - 5 = 3*p. What is the least common multiple of 5 and s?
35
Let z be (-2)/(2/16*2). Let n = 220 - 237. Let d = z - n. Calculate the least common multiple of 3 and d.
9
Let v = -29771011/222 - -134104. Find the common denominator of v and -35/407.
2442
Let v = -22/7 - -1091/140. Let m = -2916 + 157457/54. Let f = -1/27 + m. Find the common denominator of v and f.
60
Let l(i) = -i**3 - 11*i**2 - 5*i - 22. What is the smallest common multiple of 9 and l(-11)?
99
Let g = 31 - 33. Calculate the common denominator of (g/22)/(5/125) and (57/9)/((-1)/2).
33
Suppose 5*q = -2*q + 14. Calculate the common denominator of 1 + -1 + (q - (-75)/(-35)) and -58/7.
7
Let m = 99317/31207 + -2/2837. Calculate the common denominator of m and -83/10.
110
Suppose 3*w + 59 = 80. Let f = 15 + -11. Suppose 3 = -f*o + w. What is the lowest common multiple of 9 and o?
9
Let c be ((-20)/14)/(-5)*14. Suppose -c*v + 5*m + 9 = -0*v, 3*v = -5*m + 33. Calculate the smallest common multiple of v and 22.
66
Suppose -10*l - 320 = -30*l. Calculate the lowest common multiple of 32 and l.
32
Let a(w) = -w**3 - 3*w**2 + 2*w + 2. Let m(h) = -3*h**3 + 6*h**2 + 16*h - 9*h + 4*h**3 + h**2 + 12. Calculate the least common multiple of m(-6) and a(-4).
30
What is the least common multiple of 21 and (45 - 48) + 33/1?
210
Suppose s = -0*s + 1. What is the lowest common multiple of s and (-10)/(-4) + (-9)/((-108)/(-6))?
2
Let j = -36905/18 + 2052. Find the common denominator of 121/1090 and j.
9810
Let u(g) = 4*g**3 + 1 + 9*g**2 - 3*g**3 - 2 - 2*g**3 + 10*g. Let v be u(10). Calculate the smallest common multiple of 30*(v + (-10)/(-6)) and 18.
180
Suppose -2*a + i + 16 = 0, -4*a - i + 16 = -28. Find the common denominator of 101/10*a/4 and (1 - 23/9)*450/60.
12
Suppose -108 = 3*q - 6*q. Suppose -l - l + q = 0. Find the common denominator of (-745)/25*(-5)/l and 1/16.
144
Let z be (-9)/(-12) - (-2)/8. Suppose 0 = 2*d + b - 12, 9*b - 8*b - 18 = -3*d. What is the smallest common multiple of (-18)/(-4)*z*4 and d?
18
What is the common denominator of -55/27 and ((-40)/(-774))/(6/(-126)*7)?
1161
Let z(n) = 8*n - 32. Suppose -6 + 2 = -f. Calculate the smallest common multiple of f and z(8).
32
Let o = 5827 - 46711/8. What is the common denominator of o and -33/25?
200
Let i = 21 - 12. Let t be -1 + i - (3 + 0). Find the common denominator of ((-940)/48)/t*4 and 40/7.
21
Suppose 2*d + 130 = 4*x - d, -d = -5*x + 168. Calculate the least common multiple of (-1)/2*264/(-11) and x.
204
Let w = 3465221/211 - 16423. Find the common denominator of w and 39/10.
2110
Suppose -3*b + 3 + 3 = 0. What is the lowest common multiple of b and 4?
4
Let w(y) be the first derivative of y**4/4 + 14*y**3/3 + 4*y**2 - 11*y - 4. Let z be w(-14). Calculate the common denominator of -2*2*z/36 and -49/2.
6
Suppose 0*b + 13 = 5*x - 2*b, -3*x + 11 = -2*b. Find the common denominator of -41/8 and (-2*x)/((-80)/(-85)).
8
Let i be 3*(-1)/((-2)/(-10)). Let x = 5 + 16. Let d = x + i. Calculate the least common multiple of d and 7.
42
Let f = -21 - -42. Let m = f + -36. Let t = 1 - m. What is the smallest common multiple of t and 6?
48
Let q be (-1)/2 + (-45)/(-10). Suppose -3*x - 5*n - 21 = 0, -x + 42 = -q*x + 2*n. Calculate the common denominator of x/(-14) + (-9 - -5) and -67/10.
70
Let d = 442 - 430. Calculate the lowest common multiple of d and 24.
24
Let g be (-3)/(-1)*(2 - -1). Let a = -19 + g. Let k = 2 - a. Calculate the least common multiple of 16 and k.
48
Suppose -3*j + j = -18. Calculate the lowest common multiple of j and 4 + -2 + 2/(-2 - 0).
9
Let m(i) = -2*i**2 - 57*i - 166. Calculate the smallest common multiple of 180 and m(-22).
360
Let b be 4/(-10) - (-4268)/10720. Let l = 2813/536 - b. Calculate the common denominator of l and -63/16.
16
Let q = -15 - -16. Calculate the common denominator of 489/36 - (2 - 1) and (1 + 111 + q)/12.
12
Suppose 13 = 9*m - 77. Suppose -3*a - 31 = -2*o, -4*a + 11 - 1 = o. What is the lowest common multiple of o and m?
70
What is the common denominator of -9/161 and 11 - (1903/1012 + 9)?
644
Suppose -40 = 12*n - 14*n. Let o be -1 + -5 + (1 - -1). Calculate the least common multiple of n and (o - -7) + (-9)/(-1).
60
Let f be 2 - (8 + -9) - (1 - 1). Suppose -38 = -l - 5*z, -z - 34 = -f*l + 4*z. Calculate the least common multiple of l and 18.
18
Let u = 2 + 1. Suppose -u*v + 4*o = o - 15, -2*o - 37 = -5*v. Calculate the smallest common multiple of (6/5)/(8/60) and v.
9
Let v = -181823/24910 + -2/2491. Let d = -2/361 - 337/4332. Find the common denominator of d and v.
60
Let p = -9/68 - 2083/4556. Calculate the common denominator of p and -13/18.
1206
Let t be (-3)/(5/(10/(-3))). Suppose c - 26 = 3*c + y, 2*y = -t*c - 28. Let b(f) = -f**2 - 13*f - 8. Calculate the smallest common multiple of b(c) and 4.
4
Let i(s) = s**2 + 13*s + 15. Let w be i(-13). Suppose 0*r + 5*r - w = 0. Calculate the least common multiple of 20 and r.
60
Suppose i = -4*k - 58, 0 = 5*k - 2*i + i + 68. Let b = -4 - k. Calculate the least common multiple of 4 and (-2 + b)/(3 + -1).
4
Let z = 25/2 + -129/10. Find the common denominator of z and 49/5.
5
What is the common denominator of 5/(-30)*55*2 and 44/39?
39
Let y(l) = l**3 + 14*l**2 + l + 17. Suppose -5*g + 25 = -4*g. Let u = -39 + g. What is the smallest common multiple of 18 and y(u)?
18
Calculate the common denominator of (-6)/12*(-78)/(-4) and ((-36)/16)/((-45)/(-123)).
20
Let w = 4 + 14. What is the lowest common multiple of (-460)/(-45) + 2 + 2/(-9) and w?
36
Calculate the common denominator of (-1)/64*2*(-2262)/91 and 5/48.
336
Let f = 843 - 20285/24. Calculate the common denominator of 23/24 and f.
24
Let s = -99/8 - -163/16. Find the common denominator of s and 97/36.
144
Let z = 1935 + -1914. What is the smallest common multiple of 600 and z?
4200
Let f = 9029615/18 + -501994. Let a = 3190/9 + f. Let u = -259/2 + 392/3. What is the common denominator of u and a?
18
Suppose 0 = 3*r - 3*k - 51, -k - 3*k - 54 = -3*r. Suppose r*y + 90 = 11*y. Let v = y - -57. Calculate the least common multiple of v and 1.
27
Calculate the common denominator of 163/60 and (2 - (1 - 2)) + (-10787)/2760.
120
Let x(k) = -163*k + 3. Let w be x(5). Find the common denominator of (-6)/21 - (1070/w)/(-1) and 133/18.
522
Suppose -4*f + 3 = -f. Let p = -12595/234 - -608/13. Find the common denominator of p and (190/(-520))/(f/6).
234
Suppose -17*y = 3*s - 13*y - 3396, 3*y - 4535 = -4*s. Calculate the lowest common multiple of 1 and s.
1136
Let v(a) = -3734*a - 2. Let s be v(2). Let x = 119445/16 + s. What is the common denominator of x and -1/10?
80
Let h = 7 - -29. Calculate the smallest common multiple of h and 0 - 552/28*-1 - 4/(-14).
180
What is the common denominator of 163/4578 and ((-1)/18)/((-144)/(-56592))?
4578
Suppose 5*t + 19 = -3*s, 3*s - t + 0*t - 11 = 0. Suppose -3*k + 161 = -46. What is the least common multiple of k/9 + 4/12 and s?
8
Suppose -20 = 5*t, -p + 2*t + 3*t + 26 = 0. Let s(y) = -3*y + 9. Let a be s(-9). Suppose f - a = -f.