 - 8. Suppose 2 - v = -a. Calculate the smallest common multiple of a and ((-9)/(-5) - 1)*5.
4
Let v = 396076 + -22575436/57. Let f = 193/190 + 7/190. Let h = f - v. Calculate the common denominator of -119/6 and h.
6
Let r = -10/599 - -5643/86855. Calculate the common denominator of 37/15 and r.
435
Let c = -10671877/957480 + -519/4040. Let j = 4189235/948 + c. Let x = 4385 - j. What is the common denominator of 111/20 and x?
20
Suppose 0 - 6 = 3*z, 4*z = -4*q - 284. Let o = -57 - q. Calculate the smallest common multiple of o and 14.
84
Let k = -25995 + 2859413/110. Find the common denominator of k and -49/20.
220
Let v = 26/373 - -11659/9325. Calculate the common denominator of v and -31/7.
175
Let z = -138 - -128. Let f = 16 + -8. Calculate the lowest common multiple of (((-512)/20)/(-4))/((-4)/z) and f.
16
Let f(r) = 3*r**2 - 4*r - 1. Let x(a) = 2*a**2 - 6*a - 14. Let k be x(6). Suppose -4*z + 26 = -k. Calculate the lowest common multiple of f(3) and z.
84
Let y = -465688466889/1880 - -247706621. Let m = 5/508 + 673/47752. Let t = m + y. What is the common denominator of -97/2 and t?
10
Let d = -787/460 - -35/46. Calculate the common denominator of d and 59/4.
20
Suppose -f + 10 = -2*g, 16 - 5 = 2*f - g. Suppose -3*i + f*a = 6, -2*i + 0 - 5 = -3*a. Let r(q) = q. What is the lowest common multiple of r(7) and i?
14
Calculate the least common multiple of 12 and 80/32*1784/10.
2676
Let h be (14/4 - 1)*180/225. Let w = 0 + 3. Suppose 10 + h = w*d. Calculate the least common multiple of d and 10.
20
Suppose 2*u = d - 0*u + 32, 4*u = -d - 8. Let y = d - -35. What is the smallest common multiple of 8 and y?
88
Calculate the common denominator of 46/3 and 10/(-2) + (-14 - 3955/(-231)).
33
Calculate the least common multiple of 20 and 26/(-104) - (-114)/8.
140
Suppose 3*y - 24 = 4*r, -5*y - 2*r - 3*r = -5. Suppose -t + 2*t = y. Suppose -3*a = -t*i + 122, 3*i + i = -2*a - 108. Find the common denominator of 9/11 and a.
11
Let h = 68582 - 10424543/152. Calculate the common denominator of 109/88 and h.
1672
Let m = 169/38 - -1/19. Let f = -729/2 - -325. Find the common denominator of f and m.
2
Let t(p) = p + 3. Let v be t(-6). Let h(n) = -4*n - 3. Let b = 7 + -3. Calculate the least common multiple of h(v) and b.
36
Find the common denominator of 6/(22464/25479) - 7 and 4/7.
2912
Let a = 783/2 + -6179/16. What is the common denominator of a and -1/180?
720
Let o = -25118/9 + 804013/288. Find the common denominator of -97/24 and o.
96
Let g = 9276 + -306164/33. Find the common denominator of g and -31/18.
198
Let g = 583 - 576. Calculate the lowest common multiple of 142 and g.
994
Let l = 14485019/110 - 131681. Calculate the common denominator of l and -50/11.
110
Let o(i) = 645 + 0*i - 650 + i + i**2. Calculate the lowest common multiple of 3 and o(-4).
21
Let m(x) = 11*x**2. Let l be m(1). Suppose -v - l = -3*u, -2*u + 4 = 2*v - 6. Calculate the lowest common multiple of u and 30/3*(-3)/(24/(-4)).
20
Let m = 146387/18 + -8135. Let o be 20406/(-226)*92/(-1170). Let n = -1/8814 - o. What is the common denominator of n and m?
90
Suppose -6*s + 40 = 2*s. Suppose -4*n + 8 = 2*x - 4, -3*x - 2*n + 18 = 0. Suppose -s = -x*c + c. What is the smallest common multiple of 11 and c?
11
Suppose -13 + 19 = 3*m. Let a = 4 + -1. Suppose 0 = s - 4*u + 12, -s + 0*u + 16 = a*u. What is the lowest common multiple of s and m?
4
Let t(x) = 9*x - 15. Let m be t(5). What is the smallest common multiple of (-30)/(-50) + -94*(-3)/m and 7?
70
Suppose o = n + 21, -4*n - 5*o - 36 - 21 = 0. Let i = n + 36. Suppose -13 - 35 = -3*b. What is the smallest common multiple of i and b?
144
What is the common denominator of -53/8 and 2/(-8) + 473/387?
72
Let k = 12959/3 + -4302. Find the common denominator of k and 141/(-54) + (-2)/8.
36
Suppose -p = -2*b - 160, p = 4*p + 4*b - 430. What is the smallest common multiple of 21 and p?
1050
Let g = -79 + 51. Calculate the common denominator of (3/72)/((-3)/g) and 51/20.
180
Let x = -22 + -1174. Let l = x + 2437/2. Let y = 45317/1018 + -8/509. What is the common denominator of l and y?
2
Suppose -723 = -2*a + d + 379, 5*a + 5*d = 2770. Calculate the lowest common multiple of a and 8.
552
Let s = -10/21213 - 1165105/3415293. Calculate the common denominator of s and 59/161.
161
Let p(y) = y**3 + 2*y**2 - 4*y + 1. Let g be p(-3). Suppose 3*z - 15 = 3*a, -3*a + 5*z - 7 = 4*z. What is the least common multiple of 14 and (g - 3)*19 - a?
140
Let h = -352 + 366. Calculate the lowest common multiple of h and 178.
1246
Let n(j) = 4*j**3 - 6*j - 12. Let r be n(-4). Calculate the least common multiple of 27 and r/(-20) + 3/(-15).
108
Let n be (9/2 + -4)*284. Let y = 275/2 - n. What is the common denominator of y and 5/9?
18
Let k be (-3)/(-9)*9/1. Suppose -k*d - 4*y = -150, -5*y = -4*d + 100 + 69. What is the smallest common multiple of 18 and d?
414
Let g(j) = -j + 7. Let o be g(7). Suppose o = 3*y - l - 5, y + 6*l - 2*l + 7 = 0. Calculate the lowest common multiple of y and 6.
6
Suppose -2*y - 5*m = 28, 4*m + 8 = y + y. What is the smallest common multiple of ((-2)/y)/(5/170) and 9?
153
Find the common denominator of 4/9 and 9/(-1080)*-6*-71.
180
Let d be 1238457/(-738) + 8/6. Let w = -1677 - d. Calculate the common denominator of w and -53/12.
492
Suppose -4*d + 4*i + 3406 - 9810 = 0, 2*d + i = -3208. Let o = -28835/18 - d. What is the common denominator of o and -101/6?
18
Let v = -30/1281547 - -5250537959/1704457510. Let f = 28/95 - v. What is the common denominator of f and (-3 - 304/36) + (-6)/27?
42
Let t(o) = -o**2 - 7*o - 3. Let r(u) = u**2 - 11*u - 3. Let b be r(11). What is the lowest common multiple of -1 + 9 + b + 1 and t(-6)?
6
Let p = 24896 + -746969/30. Calculate the common denominator of -37/20 and p.
60
Suppose -3*w - 27 = 5*j - 70, -4*w = -2*j + 12. Find the common denominator of (-1)/j*16/32 and -23/14.
112
Let b(l) = l + 24. Let n = -33 + 33. Let h be b(n). Find the common denominator of 3/h*3 - 0 and -33/14.
56
Suppose -18 = -w + 5*p, -2*w - p + 8 + 6 = 0. Let c = w + -1. What is the lowest common multiple of c and 2?
14
Suppose 5*o - 5*x - 25 = 0, 2*o + x + x = 6. What is the common denominator of ((-56)/110)/(o/(-20)) and 6*(-3)/(-24) - 37/740?
110
Let l = -1247 - -9939/8. What is the common denominator of 89/42 and l?
168
Let g(h) = -6*h. Let c be g(-1). Suppose -q = -c - 1. Suppose -3*p + 4*d = -21, 15*d + 7 = p + 10*d. What is the smallest common multiple of p and q?
7
What is the smallest common multiple of 200 and (-8)/4*(-1 - -6)*-1?
200
Let g(b) = 3*b - 3. Let x be g(2). Let l be (-12)/(0 + x/18). Calculate the common denominator of (-242)/l*1 + 0 and 37/12.
36
Let g = 5 + 30. Let i = -23 + g. Calculate the lowest common multiple of (1 - 3 - (-22)/8)/(1017/2712) and i.
12
Let z(f) = 2*f - 2. Let q be (1 + -2 - 0)*-17. Suppose o = q + 1. What is the smallest common multiple of z(9) and o?
144
Suppose 0*n - 27 = 3*n. Let d = n + 17. Calculate the least common multiple of d and (2/(-6))/(1/(-12)).
8
Let b = 93 + -93. Suppose -3*m + b*s = s - 68, -2*m + 42 = -s. Calculate the least common multiple of m and 22.
22
Let i = -173/80 - -29/16. Calculate the common denominator of 155/204 and i.
1020
Let f(r) = -9*r**2. Suppose 4 = 4*i - 2*i + j, 0 = -2*i + 4*j - 6. Let k be f(i). Calculate the least common multiple of 9 + 9*(-3)/k and 18.
36
Let w = -1313378548/17435 - -75330. Let g = -2735816038071 + 858581147230001341/313830. Let p = w - g. Find the common denominator of -27/8 and p.
72
Let r(u) be the second derivative of u**4/12 - 2*u**2 - 2*u. Let m(v) = 2*v**2 + 4*v - 3. Let x be m(1). Calculate the lowest common multiple of 19 and r(x).
95
Let t = -1 + 6. Suppose -4*v - v + 110 = 4*l, -t*v + 110 = 2*l. Suppose 44*q - 49*q = -90. Calculate the least common multiple of q and v.
198
Suppose -2*h + 23 = p, -4 = -2*h - 5*p - 1. Calculate the lowest common multiple of h and 3/(86/(-92) - 9/(-9)).
322
Suppose -4*t - 2*i = 3*i + 32, -3*t - 24 = 2*i. Let g(n) = n**3 + 9*n**2 + 6*n - 10. Let u = 11 + -8. Calculate the smallest common multiple of g(t) and u.
6
What is the common denominator of 113/648 and (69608/(-2646))/22 + (-2)/7?
648
Let s(h) = h**2 - 8. Let g be s(4). Find the common denominator of (-20)/15*86/g and -61/6.
