 1). Suppose 0 = 2*t - 3*r + 9070, -5*t + 2*r - 3*r = 22675. Let x = t + v. Find the common denominator of x and 11/2.
14
Suppose 5*b - 16 = -1. Suppose -n + 2*n + b = m, -4*n = 2*m. Suppose -2*z + 10 = -2*h, -3*z - m*h + 3*h = -9. What is the least common multiple of 2 and z?
2
Let u(z) = z**3 - 6*z**2 + 3*z - 15. Let m be u(6). Suppose -m*l + 38 = -16. Calculate the least common multiple of 18 and l.
18
What is the common denominator of 2/(-5) + (-196)/(-420) and (-4)/(-26) - (-1364)/(-78)?
15
Suppose -5*l = -27 - 3. Suppose 3*p = 2*p + l. Suppose 2*b - 6*b = -8, 3*b - 18 = -2*z. What is the smallest common multiple of z and p?
6
Let f = 2 + 3. Suppose -3*i - f*c + 79 = 0, 2*i - 42 = 3*c - c. Let r(a) = -a**2 + 13*a + 20. What is the lowest common multiple of r(14) and i?
138
Let i = 1423 + -1317. What is the smallest common multiple of 58 and i?
3074
Calculate the lowest common multiple of ((-4)/(-3))/(-3 - 88/(-24)) and 8.
8
Let y = -28 + 231. Calculate the lowest common multiple of y and 49.
1421
Let s(q) = -q**2 - 9*q + 18. Let t be s(-10). Calculate the least common multiple of 24 and (6/t)/(((-44)/128)/(-11)).
24
Let l be (-1 - -1)*1/(-2). Let p = -3336 + 30077/9. What is the common denominator of p and l + 1 + 196/(-8)?
18
Calculate the common denominator of -36 and (3*(-4)/(-120))/(1/23).
10
Let u(l) = -3*l + 4. Let m be u(6). Find the common denominator of 131/84 and ((-306)/(-8))/(21/m).
84
Let q be (-5)/(-930)*(-1 + 15467/(-10)). Let c = q - -151/31. Calculate the common denominator of -79/2 and c.
20
Suppose 2*s + 5*p + 7 = 0, 3*s + 2*p = s - 22. Calculate the common denominator of (s/56)/((-4)/3) and -137/18.
126
Let k = -279605/21 - -13317. What is the common denominator of k and 65/2?
42
Let p = 2 + -6. Let n(c) = 3*c - 3. Let s(g) = -4*g + 3. Let o(d) = p*s(d) - 5*n(d). Calculate the smallest common multiple of o(3) and 2.
6
Suppose -n = 2*w - 8 - 412, 3*w + 6 = 0. Calculate the least common multiple of 36 and n.
3816
Let k(l) be the third derivative of l**4/6 - 17*l**3/6 - 6*l**2. Let t be k(6). Suppose t*j - 64 + 22 = 0. Calculate the smallest common multiple of j and 54.
54
Let a = 19171/6034 - -16/431. What is the common denominator of -91/8 and a?
56
Suppose -5 = 3*k + 4. What is the lowest common multiple of 10 and (1/k)/(2/(-36)*1)?
30
Suppose 2*z - 15 = -v, 3*z = -0*z + 3*v + 18. Suppose -16 = -k - s, -z*k - 5*s + 60 = -3*k. What is the smallest common multiple of k and 16?
80
Suppose -19*q + 73 - 16 = 0. Calculate the smallest common multiple of 16 and q.
48
Let n be (2/6)/(-6*7/(-18270)). Let q = -167 + n. What is the common denominator of q and -50/33?
33
Let a = -69529/14 + 4960. Let n be -3 - (2 + -413) - -4. Calculate the common denominator of a and -1 + 0 + n/(-72).
126
Let g = -38 + 36. What is the smallest common multiple of (-16)/(-10)*20/(-16)*g and 16?
16
Calculate the common denominator of ((-21219)/15498)/11 + 2/7 and 7/6.
738
Let v be 4/34 + 147/51. Suppose 0*k - 29 = -5*k - z, -5*k = v*z - 37. Calculate the lowest common multiple of 6 and k.
30
Let y = 472710 + -864668. Let t be 6/10 - y/(-80). Let w = 4907 + t. Calculate the common denominator of -37/4 and w.
8
Let d = 9/196 + -6771/196. Calculate the common denominator of d and -63/415.
830
Let z = 950 + -3831/4. Find the common denominator of 59/3 and z.
12
Find the common denominator of -29/405 and -82 + 77 + 5048/990.
4455
Let v = -69/11 - -859/165. Let q = -9645/1346 + -2/2019. What is the common denominator of v and q?
30
Let u = 1365 - 29967/22. What is the common denominator of u and (2/(-24))/(2/274)?
132
Let m = -3405 - -74915/22. Calculate the common denominator of (-70)/(-12)*(-3)/(-13) and m.
286
Let z(n) = n**3 + 4*n**2 + 4. Let v be z(-4). Suppose 30 - v = 2*q. Calculate the lowest common multiple of 3 and (1 - q)*16/(-24).
24
Let b be (2 - (3 - 6)) + -2. Suppose 2*j = b*j - 6. Let y = 15 - j. What is the least common multiple of 4 and y?
36
Let l = -1957/4 + 482. Suppose 0*p = -2*p - 18. What is the common denominator of 102/(-9)*p/30 and l?
20
Let y = 3 + -1. Let w be 48/9*6/4. What is the smallest common multiple of y and (w/8)/(2/8)?
4
Suppose -276 = -27*b - 33. Calculate the lowest common multiple of b and 99.
99
Suppose -g = -0*g - 4. Suppose -k - g*k + 4260 = 0. Let z = -5255/6 + k. Calculate the common denominator of -137/6 and z.
6
Let q = 77164879/16 + -4818486. Let k = 4314 - q. Find the common denominator of k and 33/10.
80
Let h(u) = u**2 + 18*u + 18. Let q be h(-16). Let k = 22 + q. What is the lowest common multiple of k and 18?
72
Suppose h - 2 = 0, 5*j - 2*h = -384 - 135. Let o = 141 + j. What is the lowest common multiple of 8 and o?
152
Calculate the lowest common multiple of 10 and (-4 - -1) + 365 + (-24)/(-12).
1820
Let n be 2/12*(-56)/16905*6. Let v = n - -14243/6440. Let p = 657/19 + -11405/304. What is the common denominator of p and v?
48
Let n = 6/3147065 - 693175684109/75529560. Let w be ((-29822)/65)/(1/20). Let y = n - w. Find the common denominator of y and 35/8.
24
Let k(q) = q**2 + 8*q - 16. Let b be k(-9). Let i be ((-72)/(-14))/(b/(-49)). Find the common denominator of 31/11 and (14/(-21))/((-10)/i).
55
Let g be (-2)/(-8) + 38/8. Calculate the common denominator of 121/12 and g + (2 - 1743/180).
60
Suppose -c - 26 = -2*v, -v - 3*c + 76 = 4*v. What is the lowest common multiple of 158 and v?
1106
Let p(y) = -y**2 - 8*y - 13. Let g be p(-4). Suppose -o - 13 = -g*t, t = -3*o + 8*o + 23. Calculate the smallest common multiple of t and 3.
3
Let j = 4261/502 + 3/251. Let n(p) = -p**3 - p**2 + 2*p + 3. Let o be n(-1). Calculate the common denominator of j and o/(-1)*2/12.
6
Let x = -14273 + 342451/24. Find the common denominator of x and -143/54.
216
Let l = 11 - 23. Let a(y) = -2*y - 22. Calculate the smallest common multiple of 8 and a(l).
8
Let w = -15057745/24 + 627540. Let k = -971/8 + w. Let a = 295/6 - 17/3. What is the common denominator of a and k?
12
Let o be -2 - (-1 + -1 + -1). Let u be (-4 - o)*96/16. Find the common denominator of -101/12 and u/(-50) + (-207)/20.
12
Suppose 0 = -2*l + 2*x - 6, -x - 5 = 4*l - 18. Suppose l = -y, -4*d - 5*y + 45 = d. What is the smallest common multiple of d and 13?
143
Let c(h) = 2*h**2 - 35*h + 128. Calculate the smallest common multiple of c(14) and 74.
1110
Suppose 0 = j + 1 - 2. Let u be (0 + j)/(6/180). Find the common denominator of 2*(-2 + (-93)/u) and 23.
5
Let c(x) = x + 4. Let y be c(0). Suppose -210 = -3*j - 2*j. Calculate the common denominator of -13/24 and y/j*(-459)/12.
168
Suppose 4*d - 15 = 3*d. Suppose -767*v = -772*v + 135. What is the lowest common multiple of v and d?
135
Let d = 13 - 9. Calculate the common denominator of 77/18 and (-288)/54 - (-1 + 0 + d).
18
Let h = 16 + -39. Let d = -18 - h. What is the smallest common multiple of 10 and d?
10
Let n be ((-63)/132)/((-3)/14). Let z = n + -3/2. Let w = -23/22 - z. Find the common denominator of w and -49/12.
132
Let b = 3/43 - -879/344. Calculate the common denominator of b and -85/36.
72
Let h be (1 + -2)*-1 + 9615/(-9625). Let p = 65926304931017/7700 - 8561857799. Let c = p + h. Find the common denominator of -95/8 and c.
8
Let i = -2177 + 4257/2. Let o = -6767/11 - -611. Calculate the common denominator of o and i.
22
Let f = -6663 - -213253/32. Calculate the common denominator of f and 1/410.
6560
Let b = -1089 + 1093. What is the smallest common multiple of (-7)/((-14)/24) - 2 and b?
20
Let q(c) = 26*c + 604. What is the least common multiple of q(-16) and 12?
564
Suppose -4*j + 3*f = -111, 10*j - 4*f = 13*j - 77. Calculate the smallest common multiple of j and 399.
3591
Let u be (-126 + 4)/(-2) + -1. Let p = u + -49. Calculate the least common multiple of p and 5.
55
Let y(b) = -5*b - 88. Let l(z) = z**3 + 9*z**2 - 3*z + 1. Calculate the least common multiple of y(-20) and l(-9).
84
Let r(f) = -f**3 - 5*f**2 - f - 4. Let a be r(-4). Find the common denominator of 109/12 and 75/35*(a/18)/4.
84
Let y(h) = 4*h. Let g(a) = -14*a**2 + 188*a - 57. What is the lowest common multiple of g(13) and y(3)?
84
Suppose 4*d - n = 103, -d + 11 = -n - 11. Let u(x) = 26*x - 86. Let c be u(4). Let b = d - c. What is the smallest common multiple of b and 7?
63
Suppose 3*b = 2*n - 8, -2*b + 9 = n - 6*