-68)/5. Suppose 4*i - 3*c = 7 + 21, -c = -2*i + j. Calculate the least common multiple of i and d.
161
Let k = -1569649946129 - -431951968675725769/275190. Let b = 3/9173 - k. Find the common denominator of b and -143/18.
90
Suppose -2 = -2*o, 3*f + 2*o = -2*f + 22. What is the smallest common multiple of f and 82?
164
Let g(u) = u**2 - 21*u - 43. Let f be g(23). Suppose 8*r - f*r - 50 = 0. Calculate the least common multiple of r and ((-2)/(-4))/((-2)/(-24)).
30
Find the common denominator of 6/121 and -17 + 8 + 5 + (-133)/(-22).
242
Find the common denominator of -65/34 and (4 - 28/4)/(20/(-76)).
170
Suppose 4*f - 17 = 31. Let a be (17 + -19)*(-2)/(-4)*-7. Suppose 80 = h + a*h. What is the least common multiple of f and h?
60
Suppose 4*o - 112 = -16. What is the smallest common multiple of o and 42?
168
Let d(a) = -a**3 - 7*a**2 + 26*a + 20. Let y be d(-8). Let o = -118 - y. Calculate the lowest common multiple of 3 and o.
6
Suppose -4*k = 8*t - 75 - 5, -3*t = -4*k - 41. Calculate the smallest common multiple of 44 and t.
44
Let w be 1/((10/(-62))/5). Let u = -20 - w. Let d = -1 + u. What is the least common multiple of 10 and d?
10
Let f(i) = -10*i - 6 + 5*i + 6*i. Let y be f(8). Let t = y + 9. What is the smallest common multiple of t and 8?
88
Let p(q) = -q**2 - 10*q - 1. Let i be 4*-1*1/(-4). Calculate the smallest common multiple of ((-1)/i)/(2/(-12)) and p(-9).
24
Let l(r) = -r**2 - 14*r + 7. Let z be l(-14). Let k = z + 2. Suppose -f + k = 3. What is the lowest common multiple of f and 4?
12
Let d = 1515157 - 231820559/153. Let f = -118/17 - d. What is the common denominator of f and 81/88?
792
Let w = 117583 + -9171335/78. Find the common denominator of -5/2 and w.
78
Let k = 55 - 72. Find the common denominator of k and ((-140)/(-48))/((-1)/8).
3
Suppose 15*d - 12 = 9*d. Suppose 0 = d*u + 3*u - 15. Calculate the lowest common multiple of 9 and u.
9
Suppose -5*o - 41 = -2*f - 2*o, 4*f - 3*o - 85 = 0. Let m = -32 - -59. Let a = -17 + m. What is the smallest common multiple of a and f?
110
Let m(v) = -546*v + 21. Let y be m(-7). Let n = y - 61393/16. Calculate the common denominator of -131/12 and n.
48
Find the common denominator of -83/21 and 2/56*(-118)/(-3).
42
Let n = 42 + -40. Let b = -20 - -29. What is the least common multiple of b and n?
18
Suppose 3*q - 3*t + 59 = t, -3*q = 2*t + 29. Let d = -11 - q. Suppose -8 = -d*i - 0*i. Calculate the lowest common multiple of 7 and i.
28
Find the common denominator of 1 + ((-2)/(-52) - -1) and 15/(-35)*1960/(-144).
78
Let c(a) = a**2 - 7*a + 9. Let i be c(6). Suppose -4*u + i*u = -5*l - 16, 1 = -l. Calculate the smallest common multiple of u and 7/(21/(-9)) - -18.
165
Let s(w) = -w - 4. Let m be s(-4). Suppose m = 2*a - 2*t - 44, -5*a + 3*t + 26 = -4*a. Calculate the lowest common multiple of a and 44.
220
Let o(h) = -h**2 + 51*h - 303. Calculate the least common multiple of 2 and o(44).
10
Let n(a) = -a**3 + 4*a**2 + 2*a - 2. Let o be n(2). Calculate the common denominator of (-344)/220 + (-1)/(-5) and (-97)/55 - 6/o.
11
Suppose 5*g - 4140 - 6300 = 0. Let r = 82 + -71. What is the smallest common multiple of r and (-2)/(-9) - g/(-81)?
286
Let u = 1101/5 - 221. Calculate the common denominator of u and (9 + 9*(-8)/(-72))*12/(-70).
35
Let f = 4329 - 52087/12. What is the common denominator of f and ((-22)/(-32) - -4) + (-8)/32?
48
Let g = 53 - 57. Let v = 45/4 + g. Find the common denominator of v and -145/24.
24
Suppose -40 = -4*o + 3*r - 7*r, 4*o - 2*r - 34 = 0. Suppose 39 = 2*f - 3*c, 2*c = 2*f - 12 - 22. What is the least common multiple of f and o?
36
Let i(d) = -d**3 + d + 37. Let w be i(0). What is the common denominator of -71*(w/18 + -2) and 83/10?
90
Let q be 4*(-4 - (-58)/8). Suppose -q = 5*m - 53. Calculate the least common multiple of m and 1.
8
Suppose -5*f + 4*c = -20, 16*c + 1 = -3*f + 21*c. Suppose 5*w = -3*p + 2*p + 14, 5*w - 38 = 3*p. Calculate the lowest common multiple of (0 - -4)*(-9)/p and f.
24
Let h = 8/81 + -2219/324. Let m be (-48621 - (-2 - 0))/8. Let z = m + 6090. Find the common denominator of z and h.
8
Let f(d) = -d**2 - 9*d + 96. Calculate the least common multiple of f(-14) and 65.
130
Let r(j) be the third derivative of -j**6/120 - j**5/60 - 3*j**2. Let q be r(-3). Find the common denominator of ((-59)/q)/((-1)/3) and 109/10.
30
Let q = 347/4 - 633/8. Calculate the common denominator of q and 1*(-58)/36*1.
72
Suppose -3 + 283 = 5*d - 4*y, 4*d = 3*y + 224. What is the least common multiple of 504 and d?
504
Let q = 868 - 664. Calculate the lowest common multiple of 33 and q.
2244
Let b = -563/192 + -63/64. Find the common denominator of (-9)/6 - (-48)/(-7) and b.
84
Calculate the common denominator of 7/4 and 274/(-36) + (-44)/(-66).
36
Suppose 4*i = -5*b + 10, 5*i = 3*b + 5 - 48. What is the least common multiple of ((-3)/b)/((-2)/32) and 30?
120
Suppose h = 2*h + 7. Let r(u) = u**3 - 9*u + 10. Let l be r(h). Find the common denominator of 35/4 and (-10)/(-45) - (-1059)/l.
20
Let k(f) = 6*f + 19. Let q be k(-7). Calculate the least common multiple of -4 + 7 - (2 + q) and 18.
72
Let c = -371 - -481. Calculate the smallest common multiple of c and 55.
110
Suppose 3*v - 2 = w + 8*v, 5*v + 11 = 2*w. Calculate the smallest common multiple of w and 21.
21
Let f = -5471429909/32 - -171000319. Let u = f - 18137. Calculate the common denominator of u and -71/14.
224
Let h = -215 - -250. What is the lowest common multiple of h and 50?
350
Let v = -25371/7670 - -6/767. Let w be 8/6*2895/(-2). Calculate the common denominator of v and (-3)/(-7) - w/70.
10
Calculate the common denominator of 146/18*(65/20 + -4) and -9/5.
60
Let h = -330907/18 - -18390. Find the common denominator of -131/138 and h.
414
Suppose -t + 58 = -5*p, 3*p + 7*t = 4*t - 42. Find the common denominator of p/40*(0 + 41) and 1 - -1*(-158)/20.
10
Let h = 10921/10 - 1093. Calculate the common denominator of (-3)/12*33/2 and h.
40
Let k be (-2 - 506/(-6))/((-6)/388). Let t = k - -5316. Calculate the common denominator of t and 7/30.
90
Suppose -59*j + 16 = t - 61*j, 3*j = -3*t + 12. What is the smallest common multiple of t and 116?
232
Let g = 70/71 + -5395/5112. Calculate the common denominator of g and -20/3.
72
Let d = 176 + -275. Calculate the smallest common multiple of 4/22 + (-1071)/d and 17.
187
Suppose -9*o + 17*o = 48. Calculate the lowest common multiple of 796 and o.
2388
Let m = -21920310454201/159567210 + 11935854/161179. Let w = 1507812/11 + m. Let h = w + 1123/5. What is the common denominator of h and -101/8?
72
Let o(i) = 4*i - 2. Let h be o(4). Let s = -41 - h. Let y = -1007/18 - s. Find the common denominator of y and 1/10.
90
Let q(y) = y + 8. Suppose 0*u - 3*u = 12. What is the lowest common multiple of q(u) and 9?
36
What is the smallest common multiple of ((-2142)/(-210))/((-1)/(-30)) and 4?
612
Let f(a) be the third derivative of a**5/60 - a**4/3 - 7*a**3/6 + 5*a**2. Let n be f(5). Let o = 32 + n. What is the lowest common multiple of 22 and o?
110
Suppose 11 = 8*w - 5. Calculate the common denominator of 3/8 and 146/w*1/(22 - 2).
40
Let f = -2169 - -65087/30. Calculate the common denominator of f and 103/234.
1170
Let u be (-1)/(-3) - 83/(-3). Suppose 3*f + 4*z - 76 = 0, f - 3*z = -u + 75. Let d(a) = 3*a**2 - 37*a - 14. Calculate the least common multiple of d(13) and f.
96
Find the common denominator of 7/24 and 435/(-40)*-10*(-3)/54.
24
Let s = -4750 + 99770/21. Find the common denominator of s and 113/18.
126
Suppose 0*f - 5*c - 9 = -f, -5*f + 5 = -5*c. Let g be f - 0/4 - 0. Let w(j) = -6*j + 1. What is the least common multiple of w(g) and 1?
7
Let c be (-24)/(-16)*(-4)/3. What is the lowest common multiple of 6 and ((-120)/9)/(c/3)?
60
Suppose 0 = -3*m + 3*w - 309, 5*w = -5*m - 73 - 482. Let a = m - -117. Calculate the least common multiple of 58 and a.
290
Let v(h) = -1223*h + 6148. Let s(q) = 2*q + 3. Calculate the lowest common multiple of v(5) and s(6).
165
Let l be 2/(-9) + (-8206)/(-28017). Let f = 34443/2830 - l. Find the common denominator of (-4)/((-36)/(-33)) + -2 and f.
30
Suppose 3*n = 3*r + 156, 223 = 3*n - r + 57. What is the lowest common multiple of 5 and (3/((-9)/n))/(-1)?
95
Let h = 1539 - 7729/5. Let j be 3 - 5/25*-5228. Let o = 1052 - j. What 