se -4 + 7 = -x. What is the least common multiple of (-4)/x*(-9)/(-6) and 10?
10
Suppose -3*t + 0*i = 4*i - 52, -2*t + 3*i + 29 = 0. Calculate the common denominator of -1/8 and ((-4)/t)/(-1) + (-21)/(-24).
8
Suppose -n = -3*n + p + 35, -p - 55 = -3*n. Let t be (-4 + 2 - -3)*(-11)/(-1). Find the common denominator of -61/14 and -7 + t - 126/n.
70
Suppose -29 = 7*s - 260. Calculate the smallest common multiple of s and 9.
99
Let x(q) = -5*q - 7. Let r be 89/(-13) + 6/(-39). Let u be x(r). Calculate the least common multiple of 4 and u/12 + (-2)/(-3).
12
Calculate the common denominator of (-649)/198 - (-8)/12 and 1/33.
198
Suppose 2*s + 15765 = -5*f - 32596, -48355 = 5*f + 5*s. Let v = 26214117/70 + -2689178/7. Let y = f - v. Calculate the common denominator of y and 31/6.
30
Let n(t) = 15*t - 15. Let w be n(4). Find the common denominator of 9/(-6)*505/w and 7/18.
18
Suppose -18*h - 2224 = -22*h. Calculate the common denominator of h/240 - 2/(-6) and -51/26.
260
Suppose -12*h + 16*h + 648 = 0. What is the common denominator of ((-21)/280)/(3/h) and -25/2?
20
Let u(f) = f**3 + 8*f**2 - 8*f - 16. Let v be u(-8). Suppose 3*a = -a + v. Calculate the smallest common multiple of a and 2.
12
Let k = -2045/748 + 27/11. Find the common denominator of 107/14 and k.
476
Let f be -6*1*3/(-6). Suppose 3*h + 7 + 8 = -5*l, 4*h - f*l = -20. Let i(w) = -w**3 - 3*w**2 + 3*w + 8. Calculate the lowest common multiple of i(h) and 1.
43
Let s = 3541/244 + -3/244. Find the common denominator of 55/64 and s.
64
Let m(v) = v**3 - 10*v**2 - 9*v - 2. Let f = 44 + -33. What is the least common multiple of 22 and m(f)?
220
Let d = -366 - -572. Calculate the least common multiple of 6 and d.
618
Let l be (-6)/16 + 203319/(-55944). Let r = l + 24/259. What is the common denominator of 151/24 and r?
24
Suppose 15*w - 11*w = 192. What is the lowest common multiple of 42 and w?
336
Let u = -104 - -154. Suppose 3*i = 32 - 11. Suppose u = i*d - 2*d. Calculate the lowest common multiple of 20 and d.
20
Calculate the common denominator of 14/(1050/45) + (-1064)/690 and -131/84.
1932
Let g = -21005/6 + 3481. Calculate the common denominator of g and (4/(-14))/((-1092)/(-73255)).
6
Calculate the common denominator of -109/18 and (-164)/16 - (1 - (-4 + 2)).
36
Let t = -67/6 + 41/4. What is the common denominator of -47/27 and t?
108
Suppose -2*g + 6 = 4*s - 4*g, -5*g = 3*s - 11. Suppose 10 - s = 4*w. What is the common denominator of -9/20 and w*(-2)/24*-79?
60
Let o = 8/433 - -23294/4763. Let f be (1/3)/((-11)/113889). Let y = -3454 - f. Calculate the common denominator of y and o.
11
Calculate the common denominator of -77/144 and (-5*(-4)/(-180))/(3/24).
144
Suppose 0 = -5*s - 3*x - x + 16, 3*s - 5*x = -20. Suppose -4*f = 2*j - 6*j + 16, -5*j + 3*f + 16 = s. What is the smallest common multiple of 11 and j?
22
Let k be (8/(-16))/(2/12). Let i(a) = 214*a**2. Let t be i(k). Let j = t + -9689/5. Calculate the common denominator of 61/9 and j.
45
Calculate the common denominator of -15/88 and 162/42 - 4 - 804/448.
176
Suppose -2*w - 10 = 2*i, 5*w + 5*i = 3*i - 13. Let n be 2 + w + 4/(-2). Calculate the lowest common multiple of 8 and 3/(n*(-3)/5).
40
Suppose -3*j = -4*d - 96, -j + 10*d = 5*d - 32. What is the least common multiple of j and 52?
416
Let z = -325 - -333. What is the smallest common multiple of 24 and z?
24
Let n(j) = -j**3 + 13*j**2 + j - 8. Let k be n(13). Let p(g) = 4*g + 0 - 4*g + k*g + 2*g**2 - 3. What is the lowest common multiple of p(-4) and 5?
45
Let h = 243584547667331/17010 - 14320079222. Let x = -2/8505 - h. Find the common denominator of -89/12 and x.
36
Let z = 910/3 - 279. Find the common denominator of 1/(-4)*93/(-2) and z.
24
Suppose -16 - 14 = -6*z. Suppose -2*f - z*k = -15, 2*f = -13*k + 15*k + 8. Calculate the smallest common multiple of f and 35.
35
Let i = -12718/17 + 751. Calculate the common denominator of 4/8*((-200)/(-30) + -3) and i.
102
Let h(b) = -b + 5. Let q be h(1). Suppose 7 = 4*v + q*r - 17, 4*v - 10 = 3*r. Calculate the least common multiple of 14 and v.
28
Let n be 97/3 - ((-21)/(-9) - 2). Suppose 0 = 2*x + 3*v - 78, -x - 3*v = 2*v - n. Calculate the lowest common multiple of x and 10.
210
Suppose 5 + 5 = 5*o. Let x = 115 + -57. Suppose x = 3*h + n, -44 = -o*h - 3*n + n. Calculate the least common multiple of h and 22.
198
Let v = -18452/9 - -2045. Find the common denominator of 50/(-36)*34/20 and v.
36
Let m = -63 - -61. Let j(c) = 8*c**2 + c + 1. What is the lowest common multiple of 7 and j(m)?
217
Calculate the least common multiple of (1/(-2))/(2/(-40)) and 2/(-8)*(-26016)/271.
120
Let r = -9 + 15. Suppose 2*h - 12 = 4*h. What is the least common multiple of r and ((-168)/(-30))/(h/(-15))?
42
Suppose 0 = -2*f + 2 - 8. Let j(y) = -y**3 - 3*y**2 - 4*y - 4. What is the least common multiple of (-72)/(-180) - (304/10)/(-4) and j(f)?
8
Let s(z) = -2 - 4 + 1 - 1 - 5*z. Calculate the least common multiple of s(-4) and 14.
14
Let c = 9 + -8. Let j be (-10 + c)*2/(-6). Let u = j + 4. Calculate the least common multiple of 7 and u.
7
Let w(x) = 2*x**3 + 13*x**2 + 4*x - 7. Let u be 56/(-9) + (-12)/(-54). Calculate the lowest common multiple of w(u) and 4.
20
What is the lowest common multiple of 496 and 635/35 + 3/(-21)?
4464
Let r = -255703/18 + 14198. Calculate the common denominator of -34/453 and r.
2718
Suppose -7*x + 43 + 13 = 0. Suppose -4*f + x = 0, -6*n + 3*n + 2*f = -56. What is the smallest common multiple of n and 50?
100
Find the common denominator of 103/28 and -1 - ((-35)/120 - 1)/1.
168
Let w be (-13)/(-39) - 328/(-6). Suppose 0 = -3*y - 4*b - b + w, 3*b = -y + 25. Suppose 5 + 7 = 2*a. What is the least common multiple of a and y?
30
Let k = -1068/229 + 604855/134652. Calculate the common denominator of k and 31/4.
588
What is the least common multiple of ((-5)/3)/(55/(-1221)) and 4?
148
Let h be -1 - 1 - (-511)/251. Let m = h + -30963/2510. Calculate the common denominator of -89/6 and m.
30
Suppose 12*z - 2*z - 20 = 0. Suppose -3*d + 0*d = -108. Suppose 0 = -0*i - z*i + d. What is the smallest common multiple of 20 and i?
180
Let c be (-19)/(-17) - (-4)/(-34). Calculate the smallest common multiple of (-14 - c)*(-5 - (0 + -4)) and 6.
30
Suppose -3*f - 13 = 50. Let x = f - -15. What is the smallest common multiple of 8 and (-8)/x*(-6)/(-4)?
8
Suppose 0*a + 4*a = 4*p - 820, -p + 229 = 5*a. Suppose 0 = 6*f - p + 29. What is the least common multiple of 18 and f?
90
Let q = -32087/11106 - -1/3702. Find the common denominator of q and 38*((-665)/(-330) + -2).
99
Let b(t) = -t**3 - 5*t**2 - 2*t - 16. What is the least common multiple of b(-6) and 64?
64
Suppose -2*w + 0*w + 9 = l, 72 = 3*l - 3*w. Suppose 27*v - l*v - 8 = 0. What is the smallest common multiple of 11 and v?
11
Let n = -182687/14 + 13043. Find the common denominator of n and 55/164.
1148
Let h be 11/((3 - 1) + (-2450)/1223). Let m = h + 3347. Find the common denominator of m and (-62)/(-6)*(-6)/22.
44
Calculate the common denominator of -103/6 and (-2)/6 + 8055/29430.
654
Let g be ((-1426)/(-5))/(61908/(-245)). Let v = -3965966/201 + 19731. Let y = v - g. Find the common denominator of y and -39/38.
418
Let a(g) = 5*g**2 - 58*g - 13. Suppose -4*c - c = -55. Calculate the lowest common multiple of c and a(12).
11
Calculate the lowest common multiple of 4 and ((-142)/3)/((-43)/129).
284
Let p = -33881/4 - -18031/2. Let n = p + -570. Calculate the common denominator of 75/2 and n.
4
Let c(x) = -17*x - 117. Calculate the least common multiple of 16 and c(-9).
144
Let h = -42 - -41. Calculate the common denominator of -51/20 and (-76)/(-20)*(h - (-34)/4).
20
Suppose -2*l - 7 = -9. Find the common denominator of 130/(-28) + (-2 - l) and (4/10)/(8/(-365)).
28
Let z be (13/12)/((-62)/3524). Let v = 1170/31 + z. Find the common denominator of v and 0 - (-34)/(-8)*2.
6
Let o = 10 + -4. Suppose u + 15 - 17 = 0. Suppose -16 - 28 = -u*b. Calculate the smallest common multiple of o and b.
66
Suppose -3*h - 8600 = -8*h. Suppose 6*a + h = a. Calculate the common denominator of 47/24 and a/(-120) - (-1)/3.
120
Suppose 27 = 4*t - 105. Let p(l) = -l**2 - 8*l - 4. What is the smallest common multiple of p(-4) and t?
132
Let d be ((-2)/(-3))/(16/120). Suppose 9*s - 70 = -d*s. What 