the common denominator of m and q.
40
Let c be (-80)/24*(0 + 3). Calculate the common denominator of ((-1302)/560)/(4/c) and (6/20)/((-56)/(-1330)).
16
Suppose -3*z = 3*t + 183, 4*z + 5*t = 7*z + 167. Let y = -77669/10 - -7776. What is the common denominator of 104/364 + 2/168*z and y?
60
Let j(s) = s**3 - 6*s**2 + 3*s - 7. Let v be j(6). Let x(l) = 2*l - 2*l + v*l - 2*l. Calculate the least common multiple of 2 and x(1).
18
Let u = 142 - 38. Calculate the least common multiple of 32 and u.
416
Suppose -36*j = -160 - 272. Let p(w) = 9*w**3 - w**2. What is the lowest common multiple of p(1) and j?
24
Let z(b) = -52*b - 120. Let u(c) = -c**3 - 8*c**2 - 4*c + 1. What is the lowest common multiple of z(-3) and u(-8)?
396
Let h(i) = -3*i**2 - 58*i + 48. What is the common denominator of h(-20) and -1/91?
91
Let b(d) = d**3 - 5*d**2 + 4*d - 49. Calculate the lowest common multiple of 56 and b(7).
616
Let s(p) = 5 - 17*p + p**2 + 38*p + 6 - 2. What is the smallest common multiple of s(-21) and 3?
9
Let g(s) = 3*s - 4. Let o be g(-3). Calculate the smallest common multiple of o/(-2) + (-2)/4 and 11.
66
What is the common denominator of 6/7 and 1041/(-3300) - ((-42)/175)/(-3)?
1540
Suppose 30 = f - 4*w, -f + 0*w = -2*w - 34. Let n = f - 36. What is the lowest common multiple of 9 and n?
18
Let v(a) = a**3 + 4*a**2 - 15*a + 50. Calculate the least common multiple of v(-7) and 74.
296
Let p(u) = 11*u. Let g be p(-3). Find the common denominator of ((-45)/g)/((-6)/16) and 23/8.
88
Let d = 27 + -18. Find the common denominator of 71/6 and (-2 + (-85)/30)/(2/d).
12
Let r(l) = -l**2 + 12*l + 2. Calculate the least common multiple of 154 and r(2).
154
Suppose -5*w - 120 = 3*h, 0*h + 4*h = 2*w + 74. Calculate the common denominator of 34 and w.
1
Suppose 2*s = -0 + 4. Suppose 3*o = s*o + 17. Let l = -555 - -3879/7. Find the common denominator of o and l.
7
Let f(a) = 12*a**2 - a - 1. Let w be f(-1). Suppose -w = d - 4. What is the lowest common multiple of 4 and (-90)/d - (-18)/24?
12
Let o = 11 - -33. Suppose 10*s = 5*s - 4*c + 14, 2*s + 4*c + 4 = 0. Suppose s*j = 8*j - o. Calculate the least common multiple of j and 12.
132
Let f = 23059/2775 - -50/111. Let a = f + -2927/200. Find the common denominator of a and -29/66.
264
Let l = 87068/63 + -1382. Calculate the common denominator of 89/36 and l.
252
Let t be (2 + -4 - -3 - 1) + 4. Let z = 2/789 - 30775/1578. Find the common denominator of (-1)/(100/455) + t and z.
20
Let i be ((-1)/((-20)/84))/(4/(-170)). Let f = -216 - i. Calculate the common denominator of f and 65/8.
8
Suppose 13*a - 725 = 471. Calculate the least common multiple of a and 8.
184
Let b = 24 - 19. Let f = 26 - b. Let a = f + -19. Calculate the lowest common multiple of 11 and a.
22
Let h(b) = 3*b**2 - 9*b + 2. Let t(l) = 5*l**2 - 17*l + 5. Let u(c) = 7*h(c) - 4*t(c). Calculate the smallest common multiple of 18 and u(-7).
72
Let c = 816 + -477. Let i = -5 + c. Find the common denominator of -2 + 3 + i/(-96) and 65/4.
48
Calculate the least common multiple of (18 + (310 - 12))/(-2 + 4) and 20.
1580
Suppose -5*j + 0*m + 5*m = -175, 3*m = -7*j + 255. What is the smallest common multiple of 13 and j?
468
Let f(v) be the third derivative of -v**6/120 + 13*v**5/60 + v**4/24 - 2*v**3 + 3*v**2. What is the lowest common multiple of f(13) and 7?
7
Let q(t) = 18 - 3*t - 11 - 9 + 14*t**2. Calculate the smallest common multiple of 15 and q(-1).
15
Suppose -r = -2*l - 296, 4*r - 9*l = -11*l + 1224. Calculate the least common multiple of 20 and r.
1520
Let o be 4/18 - (-33)/(-27). Let d = 11 - o. Suppose -33 = -x - 2*x. Calculate the smallest common multiple of x and d.
132
Calculate the common denominator of -1 - ((-3685)/1650 + -2 + -1) and -9/20.
60
Let y = 2/29901 + -1086415/179406. Find the common denominator of y and 97/268.
2412
Let g = -11 - -15. Suppose 0 = g*p - 24. What is the lowest common multiple of 4/16 - (-14)/8 and p?
6
Let o = -48 - -51. Calculate the smallest common multiple of 12 and (96/28)/(o/21).
24
Let l(s) = s**2 - 24*s + 70. What is the smallest common multiple of l(21) and 13?
91
Let f = 4 - 2. Suppose -4*g = f*v - 16, 0 = g + 4*v - v + 6. Let k(i) = i**2 - 3*i. Calculate the least common multiple of k(g) and 12.
36
Let b = 54 - 54. Suppose b = 3*y - 88 - 11. What is the lowest common multiple of y and 27?
297
Let v(b) = -2*b + 8. Let f be v(-3). Find the common denominator of f/(-6)*(-51)/34 and -25/7.
14
Let b be ((-24636)/9)/((-2)/3). Let j = -41153/10 + b. Calculate the common denominator of 9/(-2) - (-1 + -2) and j.
10
What is the common denominator of -2 - (0 + 1) - (-6822)/1890 and -109/6?
210
Let m(h) = h**2 + 54*h + 450. Calculate the least common multiple of 1388 and m(-10).
6940
Let r = 51691/12 - 4320. Find the common denominator of 89/20 and r.
60
Suppose 5*c = 5*m, -c - 5 = -2*m - 4*c. Let u(i) = 21*i - 4. Let j be u(1). What is the common denominator of (m/13)/((-1)/j) and 22/5?
65
Calculate the common denominator of (100/132)/(78/15) and -80/21.
6006
Let n be 22/5 - (36/(-10))/(-9). Calculate the lowest common multiple of 2 and n/7*147/6.
14
Suppose 4*a - 74 = a + 2*o, 5*a + o = 119. Let z = -13 + a. What is the lowest common multiple of 1/5 + (-28)/(-10) and z?
33
Let y = 1114 - 616. Find the common denominator of 83/12 and 2/2 - y/132.
132
Let o be 7/((-7)/6) + 9 + -5. Suppose 0 = -2*j + 7*j + 100. Let t = o - j. Calculate the smallest common multiple of t and 10.
90
Let x(c) = 13 + 30 - c - 11 + 1. What is the smallest common multiple of x(11) and 6?
66
Let b = 7669/390 + -276/13. What is the common denominator of 97/48 and b?
240
Suppose -18 = -0*u + 3*u. Let f = 10 + u. Let x(c) = -c**2 - 6*c + 8. What is the smallest common multiple of x(-6) and f?
8
Let u = -306/91 + 50224/16289. Find the common denominator of u and -32/3.
537
Let j be (-9)/(-12)*(3 + 1). Suppose 4*z + 43 + 20 = 5*h, j*z = 9. Suppose -2*w - h = -59. Calculate the lowest common multiple of w and 4.
44
Let o = -814 - -4901/6. Suppose -6*g = x - g - 1728, x = 5*g + 1758. Calculate the common denominator of o and (2/(-27))/(28/x).
18
What is the common denominator of (21574/(-910) - -11) + 13 and 44/91?
455
Let x(o) be the third derivative of -17*o**6/120 - o**5/30 - o**4/12 - o**3/6 - 6*o**2. Calculate the smallest common multiple of x(-1) and 16.
16
Suppose 0 = -d - 3, 5*p - 4*d + 52 = 9*p. Let k = 46 - 4. Calculate the lowest common multiple of p and k.
336
Let z(u) = u**2 - 7*u - 10. Let w(d) = 2*d + 4. Let g be (60/(-16) + 3)*-4. Let q be w(g). What is the smallest common multiple of z(q) and 8?
40
Find the common denominator of -7/304 and (-3132)/(-840)*(-15)/(-36).
2128
Calculate the common denominator of ((53/(-2))/1)/(-43) and 3*(0 - 61/54).
774
Let b = 163/1890 + -2/135. Find the common denominator of b and -20/21.
42
Let y(s) = -7*s**3 + s**2 - 8*s + 7. Let f(n) = -8*n**3 + 2*n**2 - 9*n + 7. Let x(g) = 6*f(g) - 7*y(g). What is the lowest common multiple of x(-3) and 6?
30
Suppose -139 = 3*o + 4*c + 1208, -o - c = 448. What is the common denominator of o/90 + -2 - -3 and 67/16?
144
Let j = -84/17 - 55/68. Calculate the common denominator of j and ((-21)/(-12))/((-8)/14).
16
Let i = -545443/3 + 184716. Let j = i - 2877. What is the common denominator of j and 1*-2*31/18?
9
Let i = 107 + -112. Calculate the smallest common multiple of ((-85)/i)/1*1 and 2.
34
Suppose 4*z + 2*o = 30, 0 = -2*z + 11*o - 10*o + 21. Calculate the least common multiple of 90 and z.
90
Let x = 102467036 - 2868125313/28. Let t = x + -33985. Find the common denominator of 101/10 and t.
140
Suppose 7*m - 30 = 4*m. Let h be (54/30)/((-6)/(-20)). What is the lowest common multiple of m and h/(-21) + (-51)/(-7)?
70
Let b(g) = -g**2 - 8*g - 1. What is the lowest common multiple of 7 and b(-6)?
77
Let w(k) = -k**3 + 15*k**2 + k - 9. Let s be w(15). Suppose 18*y + s = 21*y. Calculate the least common multiple of y and 9.
18
Calculate the common denominator of -63/32 and -7 + (-393)/(-44) - 4.
352
Suppose -577 = -i - 482. Calculate the lowest common multiple of 8 and i.
760
Let z be ((-21)/28)/(27/(-18094)). Let h = z + -501. Find the common denominator of h and -29/10.
90
Let m = 1/13650 + -77123/6825. Let v = -3259 - 92. Let h = 30115/9 + v. What is the common