29*m + 30*m - 20. What is the lowest common multiple of m and 20?
20
Let y be 14/(-3)*((-26)/(-7) - 8). Calculate the common denominator of 41/72 and 67/y - (-8 + 10 + -3).
360
Let y be (6 + -7)*(-8 + 1). Let l(d) = d**2 - d - 12. Calculate the least common multiple of l(y) and 21.
210
Let x = -8 + 18. Suppose 0 = x*g - 5*g + 60. Let a = 19 + g. What is the least common multiple of 1 and a?
7
Let b be 6/(-4)*(-24216)/16. Let f = b + -2288. Calculate the common denominator of f and -4/3.
12
Let c be 3/(-4) - (-3)/4. Suppose c = -8*f + 3*f + 15. Suppose -6*z + 58 = -3*z + m, f*m - 30 = -z. What is the smallest common multiple of 2 and z?
18
Suppose -6*z = -0*z + 19320. Let r = 17 - 31. Find the common denominator of 17/11 and (2/r)/(24/z).
66
What is the least common multiple of 10/(-10)*14/(-2) and 21?
21
Let c(g) = -g - 16. Let n be c(0). Let a be (n/(-12))/1*-3. What is the least common multiple of 14*(0 - a/8) and 5?
35
Suppose -2*p + g + 75 = 0, 4*p - 243 = -2*g - 97. Let x = -5869/782 - -2/391. What is the common denominator of x and p?
2
Let h(b) be the third derivative of b**5/15 - 7*b**4/12 - b**3/2 + 8*b**2. Suppose 25 = 5*y - 15. Calculate the least common multiple of y and h(4).
40
Suppose -4*w - 5*f + 235 = 0, -w - 11*f = -10*f - 59. What is the smallest common multiple of 10 and w?
60
Let k be -2*58286/56 - -2. Suppose -2*c - 2 = -c, -5*a - c + 10403 = 0. Let b = k + a. Calculate the common denominator of -79/22 and b.
154
Let m(z) = -5*z**2 + z + 1. Let i be m(-1). Let s(c) = c - 13. Let n(t) = -t + 12. Let d(w) = i*s(w) - 4*n(w). What is the least common multiple of d(9) and 7?
56
Let d be (-418)/77*(2 + (-1571)/6). Let l = -1410 + d. Find the common denominator of l and -125/24.
168
Suppose -5*q - 5*j = -q - 23, -q + 5*j = 13. Calculate the smallest common multiple of 9 - ((-6)/q - -1*2) and 19.
190
Suppose 28*z - 169 = 111. What is the smallest common multiple of 8 and z?
40
Let l = 5121 - 92111/18. What is the common denominator of 95/348 and l?
1044
Let d be ((-36)/(-27))/(1/(-3)). Suppose -5*y + 9 = -1. Let o = y - d. Calculate the least common multiple of 8 and o.
24
Let y = -3711/440 - -441/40. Find the common denominator of y and (-4)/(192/668) + -3 + 5.
132
Let t be 2/3 - (-3)/9. Let m = 1367/66 - 62/3. Find the common denominator of (1090/110)/(t*2) and m.
22
Suppose -2*b = 5*w - 23 + 34, b = 3*w + 22. What is the lowest common multiple of 56 and b?
56
Let t be ((-41648)/57)/(1/39). Let q = 626805/22 + t. Calculate the common denominator of q and 3/10.
110
Suppose -g + 4*g - 4*p - 16 = 0, 0 = 5*g + 4*p - 80. Calculate the lowest common multiple of 50 and g.
300
Let m be (-2480612)/(-50520) - (-2)/5. Let j = 2/1263 - m. Find the common denominator of j and -23 - -17 - 50/8.
4
Let b(l) = 8*l - 124. What is the lowest common multiple of 6 and b(18)?
60
Suppose -1392 = -10*k + 228. What is the smallest common multiple of k and 3?
162
What is the smallest common multiple of (11/3)/(89/534) and 146?
1606
Let s(u) = 2*u**2 - 2*u - 4. Calculate the least common multiple of s(-2) and 4 - (2 + -3 - 5).
40
Let a = -8 - -6. Let f be a/(-4) - (-209)/(-22). What is the common denominator of -13/6 and ((-339)/(-54))/(3/f)?
6
Let f be 4545/(-51) + 2/17. Let u = 529/6 + f. Find the common denominator of u and 1/(-2)*25/(-3).
6
Let f = -374 + 467. Calculate the lowest common multiple of f and 21.
651
Let j = -21545359971/10196272 + -2/637267. Let x = j - -2111. Let r = 10789/12 + -901. Find the common denominator of x and r.
48
Let u(l) = -2*l + 12. Suppose -43 - 29 = -4*p. What is the smallest common multiple of p and u(5)?
18
What is the common denominator of -11 - 29994/(-1260) - 12 and -109/30?
210
What is the common denominator of 11*(-14)/(-231)*27/(-40) and 69/400?
400
Let y = 68745/5672 + 7/1418. Calculate the common denominator of 17/240 and y.
240
Let f = -17500158028444/81229335 - 36888/492299. Let s = f + 215440. Let g = -77/30 - s. Find the common denominator of -65/6 and g.
66
Suppose 0 = 477*c - 466*c - 550. What is the lowest common multiple of 10 and c?
50
Calculate the common denominator of (-37 - -3)/((224/(-6))/4) and (-3)/(-2)*127/441.
294
Let z = 331 + -271. Calculate the least common multiple of 36 and z.
180
Calculate the smallest common multiple of (-4)/8*(-48 + 32) and 2.
8
Suppose 0 = -2*r + 10*r - 104. Calculate the lowest common multiple of (-3)/(1*-3) - -13 and -4*2/52 + 41/r.
42
What is the common denominator of 42/113 and ((-324)/50)/(8/(-10))?
1130
Let c be 200/14 - (-16)/(-56). Suppose 3*a - c*a = -198. What is the least common multiple of 15 and a?
90
Find the common denominator of 53/300 and -5 + 3 - (-2)/(180/549).
300
Suppose -1 = -3*m - 4. Let k = -2044 + 2064. Calculate the lowest common multiple of (-3 + m)/(12/(-54)) and k.
180
Let q(s) = -s**3 - 6*s**2 - 8*s - 11. Let g(z) be the first derivative of 3*z**2/2 + z - 3. Let d be g(-2). What is the least common multiple of 14 and q(d)?
28
Let x be -10211 - (-2 + 2 + 0). Let b = x - -24057/2. Let c = b - 1860. Find the common denominator of c and -55/8.
8
Let d = -1/3714 - -73354/9285. What is the common denominator of d and (-90972)/(-5616) - 10/(-195)?
20
Let x = -92 - -93. Let i = -30 - -40. Calculate the smallest common multiple of i and x.
10
Let y = -274307/12 - -65024/3. Let f(x) = 134*x**2 - 3. Let j be f(-3). Let g = j + y. Find the common denominator of -11/4 and g.
4
Calculate the common denominator of 5/(-14)*(-204)/2720 and 81/176.
1232
Let u be 228/10 - 2/(-10). Suppose 4*r = -5*k + u, -3*k + 6*k - 18 = -r. Suppose 1 = -4*j + 41. Calculate the lowest common multiple of k and j.
70
Let v(x) = -3*x - 11. Let b(s) = -s - 5. Let o(k) = 9*b(k) - 4*v(k). Let l be o(2). Calculate the common denominator of (l/40)/((-2)/28) and 23/8.
8
Let z(w) = w**3 - w - 6. Let x be z(0). Let q = 12 + x. Calculate the least common multiple of q and -1 - -9 - 8/(-2).
12
Let k be 6/(-4)*(-208)/12. Suppose k = -5*g + 96. Suppose 3*y + 8 = 7*y. What is the least common multiple of y and g?
14
Suppose -10 + 18 = -8*n. Let z = 57/2 + -27. Find the common denominator of z and n/(-28)*-106 + 2.
14
Let y = 67039 - 19173177/286. What is the common denominator of -73/104 and y?
1144
Let q = 10 + -8. Let p be ((-12712)/(-7))/((-2)/q). Let w = 10981/6 + p. What is the common denominator of 43/20 and w?
60
Let v(i) = -2*i + 22. Let c be v(10). Let u = 8 + -1. Suppose c*b - u*b = -40. What is the lowest common multiple of b and 2?
8
Let c be 3 + -9 + (3 - 6). Let r = c - -12. What is the least common multiple of (9/4)/(r/16) and 4?
12
Calculate the common denominator of -59/9 and 142/(-150) - ((-660)/(-50) - 14).
225
Let a = -13 - -15. Suppose z - p + 28 = -6*p, -112 = 4*z - a*p. Calculate the lowest common multiple of 6 and (-8)/z + (-26)/(-7).
12
What is the common denominator of 19/28 and (-2*(-1)/12)/(168/3213)?
112
Suppose 38 = x - 2*l, 0*l + 3*l = -3. Calculate the least common multiple of (-292)/36*-3 - 3/9 and x.
72
Suppose 2*b + 0*b = 2*y - 150, -12*b = -3*y + 180. What is the least common multiple of y and 80?
80
Let h = -31 - -48. Let o = 12 + -14. What is the common denominator of h/o*2/(-4) and 9/4?
4
Suppose b - 1 - 6 = -3*g, 3*b = 3. Let f = -339307/40600 + 1/5800. Calculate the common denominator of (-178)/24 - g/3 and f.
84
Let m be (4 - 13*3/9)*327. Let t = m - -112. What is the lowest common multiple of t and 19?
57
What is the lowest common multiple of 10 and 72*(195/12)/13?
90
Let z = 1234/85 - 342/17. What is the common denominator of z and (-21)/30*(-702)/(-42)?
10
Let a(k) be the first derivative of -19*k**4/4 - k**2/2 - 2*k - 8. Calculate the lowest common multiple of 12 and a(-1).
36
Let n(d) = -d + 15. What is the lowest common multiple of n(5) and 91/26*(3 + -1)?
70
Let u be -36*((-3)/(36/8) - 118). Find the common denominator of ((-1)/(-80))/((-24)/u) and 97/20.
40
Let v = -5 - -11. Suppose -5*i + 5*t - t + 30 = 0, 0 = i - 5*t - 27. Calculate the smallest common multiple of v and i.
6
Let w(i) = -4*i - 10. Let n be w(-5). Suppose 2*a + 86 = 3*u + 2*u, -u - 2*a = -n. Let s(k) = k + 22. What is the lowest common multiple of u and s(0)?
176
Let b(x) = -99*x - 1. Let l be b(-1). Calculate the smallest common multiple of 4/10 + -5 + l/5 and 18.
