613. Let k = -450 - i. Find the common denominator of 8/(-36) - k/360 and 77/6.
60
Let q(z) = 2*z**2 - 3*z - 2. Suppose 5*o = 25 - 5. Suppose 4 = a + 5, 4*c = o*a + 16. Calculate the least common multiple of q(c) and 4.
28
Let l be -1 + 1 + 3/1. Suppose -3*t + 15 = 5*v - 0*v, 15 = l*t + v. What is the smallest common multiple of 217/77 + (-2)/(-11) and t?
15
Suppose 6*d - 2*d - 72 = -t, -t = -4. Calculate the smallest common multiple of 3 and d.
51
Let t be 4/(12/321)*-2. Calculate the common denominator of (3/6)/((-10)/t) and -41/14.
70
Let f(d) = d**3 - 9*d**2 + 7*d + 7. Let z be f(8). Let p be z*(3/(-318))/(-1). Let m = p + 427/318. What is the common denominator of m and -13?
3
Let o(m) = -19*m**2 + 4*m - 1. Let p be o(-10). Let y = p + 23261/12. Calculate the common denominator of 109/12 and y.
12
Suppose 0*c + c + 1729 = 4*k, 5*c = -2*k - 8535. Let a be (2/(-20))/(1/(-17158)). Let d = a + c. Find the common denominator of d and -5/11.
55
Suppose 2*c = -3*n + 56, -2*n + 32 = -n + 4*c. Calculate the least common multiple of n and 386.
3088
Calculate the common denominator of -1 - (264/(-183) + 4 - 3) and -83/2.
122
Let x(v) = 4*v**2 + 1. Let w be x(1). Let l(n) = -n**2 + 5*n + 6. Calculate the lowest common multiple of 20 and l(w).
60
Let l(w) = 5*w + 1. What is the lowest common multiple of 210/36 - 2/(-12) and l(3)?
48
Let v = -55735/342 + 2937/19. What is the common denominator of -61/10 and v?
90
Suppose -12*x + 9*x + 780 = 0. What is the common denominator of 1677/x - 1/1 and -23/6?
60
Suppose 146192 = 2*q + 2*q - w, 2*q + 5*w - 73074 = 0. Let u = -402375/11 + q. Let x = 376/11 + u. Calculate the common denominator of -44/5 and x.
55
Suppose 0*p - 5*p + 3*b = 49, -5*p + 5*b - 55 = 0. Find the common denominator of ((-4)/(-30)*333)/p and 97/22.
220
Let z be (1/(-3))/(50/918135). Let x = -6130 - z. Calculate the common denominator of 11/6 and x.
30
Let i(p) = p**3 - 5*p**2 + 5*p - 3. Let o be i(4). Let m(d) = 5*d + 2 - 4*d - 2*d. Calculate the least common multiple of 6 and m(o).
6
Find the common denominator of 13/14 and (-7 - -6)*31/4.
28
Let h = 0 - 0. Suppose 3*q + 6 - 21 = h, 5*r - q = -405. Find the common denominator of 978/r - (-2)/(-5) and 113/10.
40
Suppose -3*n = -2*h + 12, 2*h - h = -4*n + 6. Calculate the common denominator of -2 - ((-129)/(-6))/(-1) and (0 - 2/h) + -22.
6
Let o be (-35)/(-56)*4/310. Let l = o + -591/248. What is the common denominator of 122/40 - 2/(-8) and l?
40
Let s be (-76773)/(-38388) - -1 - 3. Let y = s - 103281/12796. Calculate the common denominator of y and 59/26.
182
Let k = -35243/3080 + 960/77. Find the common denominator of k and 39/25.
200
Calculate the lowest common multiple of 4 and (48/(-10))/(48/(-320)).
32
Let c be (22/(-14))/(4/(-13116)). Let s = c - 41091/7. Let h = -50801/70 - s. Find the common denominator of -23/8 and h.
40
Let v(c) = c**2 - 5*c - 6. Let f be v(5). What is the common denominator of f/18*(-267)/2 and 51/20?
20
Suppose -3*g + 7 = -w - 0*g, 4*w - 17 = -3*g. Calculate the least common multiple of 7 and w.
14
Let f = 346/3 - 287/3. Find the common denominator of 161/60 and f.
60
Let p(v) be the first derivative of -v**2/2 - 2*v + 2. Let x be p(2). Calculate the lowest common multiple of 16 and 6/(-2*1/x).
48
Suppose 2*q + 4 = 2. Find the common denominator of 12/42 - (-262)/(-280) and (171/(-22))/(-3) - q.
220
Let v = -2038 + 16337/8. Find the common denominator of v and 187/90.
360
Let h = -11 - -7. Let t = h + 32. Suppose -22 - t = -5*b. Calculate the smallest common multiple of b and 8.
40
Let x be 6 - (-1 + 3)*1. Suppose a + x = 14. Let b = -26 + 48. What is the smallest common multiple of b and a?
110
Let w(y) = -y**3 + 8*y**2 - 6*y - 5. Let v be w(7). Suppose 0 = -v*b + 56 - 12. Suppose 0 = -2*a - 67 + 103. What is the lowest common multiple of b and a?
198
Let k = -3 - 7. Let d be 35/k*(-36)/2. Calculate the common denominator of 49/11 and (5/(-3))/(6/d).
22
Let u be (-4 + 0 + -2)/1. Let b(z) = 55*z + 7. Let r be b(u). Find the common denominator of -7/20 and (-4)/(-6) + r/48.
80
Let d = 51607/10 - 5166. Find the common denominator of d and 34/5.
10
Let j = 4 + -3. Let h be -2863 - 1 - j/1. Let u = 31485/11 + h. Calculate the common denominator of -25/6 and u.
66
Let r(l) = 2*l**3 - 4*l**2 + 2. What is the least common multiple of 22 and r(3)?
220
Suppose 7*b - 3*b + 84 = 0. Let l = b + 35. Calculate the least common multiple of 32 and l.
224
Let r(c) be the second derivative of -c**5/20 + 2*c**4/3 - 4*c**3/3 - c**2 + 4*c. Let h = 3 - -3. Calculate the smallest common multiple of r(h) and 4.
44
Let a(u) = u**2. Let r(b) = -b**3 + b**2 - 3*b - 1. Let h(m) = 5*a(m) - r(m). Let w = 25 - 28. What is the smallest common multiple of 1 and h(w)?
1
What is the common denominator of -44/5 and (-21)/6 - 9/6?
5
Suppose -3*d + b + 9 = 0, -2*d = 2*b - 3*b - 5. Suppose -4 - d = -4*n. What is the lowest common multiple of 2 and n?
2
Suppose 0 = -4*f + 12, 2*l + 1 = 5*f + 2. Suppose -q + w = -2*w + 2, -5*w + 10 = 0. What is the smallest common multiple of l and q?
8
Let m be 1 + 0 + (2 - 5). Let l(t) = 3*t**2 + t. Let v be l(m). Find the common denominator of 65/12 and (12/v)/(48/135).
24
Let k(d) = -11*d. Let f be k(-3). Suppose -4*l + f = -l. Suppose -3*b = -0*b - 3*o - 36, -4*b - 3*o + 20 = 0. Calculate the lowest common multiple of b and l.
88
Let m = -169 + 867/5. Find the common denominator of m and 65/6.
30
Let g be (-1610)/2418 - 15/20. Let o = 1/1209 - g. Find the common denominator of o and 51/22.
132
Let x(n) = -n**2 - 6*n + 4. Let t(p) = p**2 + 6*p - 3. Let d(g) = 5*t(g) + 4*x(g). Let u be d(-6). Calculate the lowest common multiple of 5 and (-1 + u/2)*-22.
55
Suppose 3*z - 4*c - 12 = 0, 0 = 4*z + c - 0*c - 16. Let q(n) = -n**3 - 7*n**2 + 2. What is the lowest common multiple of z and q(-7)?
4
Suppose 0 = -2*w + 65 + 79. Suppose 0 = 7*a - 3*a - w. Calculate the lowest common multiple of a and 16.
144
Let w be (1/(-18))/((-1)/(-11554)). Let r = w - -640. Find the common denominator of r and 91/10.
90
Let d = -3 + 9. What is the least common multiple of d and 22?
66
Let z be -2*(-1)/((-4)/(-6)). Suppose z*f = 2 + 1. What is the least common multiple of 11 and f?
11
Let c = 205451/22 - 9337. Find the common denominator of 117/20 and c.
220
Let j = 2203 + -24250/11. Find the common denominator of ((-40)/(-156))/(-5)*12 and j.
143
Let d be ((-6)/(-2))/(3/(-4)). Find the common denominator of -55/6 and (-2 - d) + 159/30.
30
Let j = 2347/3 + -792. Let z = 31271/10 + -3131. Find the common denominator of j and z.
30
Let g = 8320 + -12293. Let x = -27756/7 - g. Let p = -31813/9 - -3529. What is the common denominator of p and x?
63
Suppose 4*w = -5*k + 2*w - 14, -2*k + 4 = 4*w. Let b = 6 + k. Calculate the least common multiple of 8 and b.
8
Let i(z) = -z + 4. Suppose 0 = 2*v - 5*t + 5, -4*v + 2*t + 2*t - 4 = 0. Suppose -m - 4*m = v. Calculate the smallest common multiple of i(m) and 9.
36
Let a = -210494/285 + 3697/5. What is the common denominator of a and -18/5?
285
Let s = 4 + 0. Let t = -5 - -16. What is the lowest common multiple of t and s?
44
Suppose 0*m + 2*m = -12. Let h be (-1)/(6/38)*12. Find the common denominator of 48/5 and 9/60*h/m.
10
Let o = 200/31 + -6331/496. What is the common denominator of -25/16 and o?
16
Let b = 131011/2218502 - -3/7757. Let j = 10657/1144 + b. Let w = 695/3 - 224. Calculate the common denominator of w and j.
24
Let a = -2 + 8. Suppose -2*s + a = -4. Suppose 5*u - 47 + 12 = s*b, -3*u + b = -31. What is the least common multiple of 8 and u?
24
Let f = 16 + -2. What is the smallest common multiple of 20 and f?
140
Let n(j) = 2*j**2 - 11*j + 16. Calculate the lowest common multiple of 4 and n(6).
44
Let r be (-4)/(-6)*12/(-4). Let o = r - -4. Let g = o + -1. What is the lowest common multiple of 7 and g?
7
Let t = 319/804 + 4/201. Calculate the common denominator of 7/4 and t.
12
What is the common denominator of -17/10 and 237/(-18) - 2/3?
30
Suppose 4*q = -2 + 30. What is the least common multiple of q and 3?
21
Suppose -2*f = -3*d + 7, f - 6 = -2*f - d. What is the smallest common multiple of 9 and f?
9
Let d be 198/10 - (-1)/5. Calculate the common denominator of ((-73)/d + 2)*-3 and (-6)/(-27) + (-17)/(-18).
60
Let v be 19542/18