213/876. What is the common denominator of r and -51/22?
66
Let b be 0/(0 + (-1 - 0)). Let g = 328 - 323. Suppose b*t - g = -t. What is the least common multiple of 4 and t?
20
Let j be 2/(-5) - 107/(-5). Let t = j - 11. Suppose -1978 - 2518 = -562*p. Calculate the lowest common multiple of t and p.
40
Let z(p) = 10*p + 17. What is the lowest common multiple of 18 and z(1)?
54
Let w = 35 + -22. Let f = 21 - w. What is the least common multiple of (10/6 - 2) + 201/9 and f?
88
Let f = 7228 + -101301/14. Find the common denominator of 0 + -1 - (-21)/96 and f.
224
Suppose -4*u = -9*u - 4*p - 6, u = -p - 2. Let z = -20216 - -363799/18. Find the common denominator of (-1)/8*108/u and z.
36
Let j(b) be the second derivative of b**3/6 + 3*b**2/2 + 13*b. Calculate the lowest common multiple of j(9) and 34.
204
Let x(p) = -p**3 - 17*p**2 + 16*p - 16. Let n be x(-18). Let s be 4 + (1 - (-2)/(-2)). Suppose -5*k + n = -s*k. Calculate the least common multiple of 12 and k.
60
Suppose 5*p - 2*w - 15 = -w, 0 = -2*w. Suppose p*c + 10 = 5*c. Let m = -51 - -55. Calculate the smallest common multiple of c and m.
20
Suppose 8*l - 9*l - 21 = -3*j, -2*l + 6 = 0. Calculate the least common multiple of j and 120.
120
Let a(b) = -32*b + 484. Calculate the least common multiple of 44 and a(14).
396
Suppose 2*g = g + 18. Let y = 100 + -98. Calculate the smallest common multiple of g - -2*1/1 and y.
20
What is the smallest common multiple of 4 and (0 - 3/(-9))/(16/192)?
4
Let n(r) = r**3 + 10*r**2 - 9. Let t be n(-10). What is the smallest common multiple of 12 and ((-2)/3)/(1/t*3)?
12
Let g be (-4)/(-6)*(-240)/(-32). Suppose -g - 83 = 4*z. What is the lowest common multiple of 5 and (-38)/(-2) + z + 19?
80
Let q = -2154 + 30221/14. What is the common denominator of 61/6 and q?
42
Calculate the common denominator of -31/30 and (-2*(-3)/(-88))/((-57)/(-2014)).
330
Let h = 499/80 + -15/16. Let z(v) = -v**3 - 10*v**2 - 10*v - 7. Let b be z(-9). Find the common denominator of h and b/42*708/4.
70
Let n(h) = -6*h - 4. Suppose 0 = 5*r + y - 45, -39 = -4*r + r - 3*y. Suppose 0 = 5*p + 10, 5*p = k - 2*k - r. What is the least common multiple of k and n(-3)?
14
Let a be 218*((-21)/(-6) + -3). Suppose 21 = -5*f + 4*k + a, -k = 2. Let c(b) = -b + 1. What is the least common multiple of f and c(-3)?
16
Let l = -25 + 28. Suppose 3*d - 12 + l = 0. Calculate the least common multiple of 16 and (4 - -19) + (-9)/d.
80
Let b = 307 + -251. Calculate the smallest common multiple of b and 24.
168
Let f(v) = v**3 - 14*v**2 + 11*v + 6. Let c be f(13). Let i be 0/(-3) + (-1364)/c. Let r = 4508/65 - i. What is the common denominator of r and 7/5?
65
Suppose -l + 31 - 5 = 0. Let f = l - 18. Suppose 2*b - 13 = q + 8, -q = -3*b + 31. What is the least common multiple of f and b?
40
Let j be (-15)/1 + (-1)/(-1). What is the common denominator of j/(-10)*(-15)/2 and (5/360*44)/(2/30)?
6
Suppose -q + o = -0*o + 1, -2*q = 2*o - 18. Suppose -q*p - m + 37 = -2*m, -5*m - 35 = -5*p. Calculate the smallest common multiple of p and 20.
20
Suppose -y = 4, 0*y = -n + 3*y + 68. Suppose -32*k + n = -30*k. Calculate the lowest common multiple of 4 and k.
28
Let w = -78639761/18550 - 7026/1325. Let g = -4248 - w. What is the common denominator of g and -17/2?
14
Let z be ((-38)/(-60))/((-2343)/(-14429)). Let c = z + -2/7029. Calculate the common denominator of 1478/(-224) + 2/7 and c.
80
Let x(k) = -k. Let p be x(-6). Find the common denominator of (1/(-28) - p/(-24))/(-3) and 4/18 + (-13)/18.
14
Suppose -2*r + 201 = -5*b, -3*b = -0*r + 5*r - 456. Let v = 99 - r. Calculate the smallest common multiple of 20 and v.
60
Let w = 8023/36 - 445/2. Calculate the common denominator of w and 11/30.
180
Suppose -s + 6*i + 21 = i, 2*s = -5*i + 42. Let q = 25 - s. Calculate the lowest common multiple of 22 and q.
44
Let f = -1139 - -2205/2. What is the common denominator of f and -43/69?
138
Let j = 24 + -16. Let i = 13 - j. Find the common denominator of ((-4)/i)/((-18)/570) and -40/9.
9
Let m be -3*2/6 - 99. Find the common denominator of -41/21 and -1 + m/(-12) - 1/(-2).
42
Let x = -3810/41 - -2490305/26814. Calculate the common denominator of x and -58/21.
4578
Let t(x) = 4*x - 31. Suppose -2*d = -4*d. Suppose d*u - u = -7. Calculate the smallest common multiple of u and t(8).
7
Calculate the lowest common multiple of (12/(-9))/(-2) + (-106)/(-3) and 24.
72
Let z be ((-260)/(-6))/(3/18). Suppose 3*a = -a - z. Calculate the common denominator of (a/(-12) + 1)*2 and 39/4.
12
Suppose -5*i = -0*i - 70. Suppose -3*m = 4*k - k - 15, 2*k + i = 2*m. Let o(z) = z**3 + 8*z**2 + 4*z - 10. What is the smallest common multiple of o(-7) and m?
66
Suppose -2*v - 3*v = -4*w + 675, 0 = 4*w - v - 679. Calculate the lowest common multiple of w and 5.
170
Let r be -1 + (-4)/(-2) - -4480. Let o be ((-55)/(-10) + 0)*28581/35. Let z = o - r. What is the common denominator of 121/10 and z?
10
Let r = 40 + -39. Suppose 0 = -2*f - 3*j + r, -2*f - 3 + 24 = -j. What is the smallest common multiple of 11 and f?
88
Suppose 19 = 7*c - 9. Suppose 5*w - 44 = -3*t, c*t - 3*t - w - 20 = 0. What is the smallest common multiple of 18 and t?
18
Let r be 9/12*(1 + 3). Suppose -15 = -3*h, -r*f + 2*h + 53 + 9 = 0. What is the common denominator of 3 - (-2 + (-158)/f) and 29/26?
156
Let x = -17 + -18. Let m = x - -38. Calculate the lowest common multiple of 1/(-2) + (-19)/(-2) and m.
9
What is the common denominator of 42/13 and 7/36*(-70)/(-14)?
468
Let d(h) = 66*h + 246. What is the lowest common multiple of d(-3) and 64?
192
Suppose -13*q = -14*q - 25. Let x = -20 - q. What is the least common multiple of x and 10?
10
Let l = 289/9 - 16789/522. Let g = l - -1963/38512. Let d = -27227/3984 - g. Find the common denominator of d and 85/8.
24
Let o(g) = 6*g**3 + 7*g**2 - 3. Let m be o(-5). Find the common denominator of (-7)/(1232/(-632)) + -6 and 1/(-4) - m/(-72).
198
Let q = -154 + 22. Calculate the common denominator of 93/8 and (3/q)/(4/(-152)).
88
What is the smallest common multiple of 165 and 1 + (-30)/10 + (1 - -46)?
495
What is the common denominator of 36 - 44 - (-125)/24 and (0 - 219/30) + 1?
120
Let t = -7/1376 + -79423/75680. What is the common denominator of t and 33/40?
440
Suppose -15 = -5*b + 2*j - 3, 0 = 3*b - 3*j. What is the common denominator of -65/18 and 3 + 6/(-5) + b?
90
Let c = -1263 + 1359. Calculate the smallest common multiple of 114 and c.
1824
Let j be 3*(-20)/(-12)*2/(-5). Calculate the smallest common multiple of 8 and 1/((j + 1)/((-10)/2)).
40
Let l = -10/297 + 3587/9504. Let i = 2/29505 + -1170373/118020. Calculate the common denominator of i and l.
96
Suppose -3*l + k = -2*k - 1848, -4*k + 3035 = 5*l. Let n be 3/(-4) - l/(-52). Find the common denominator of ((-56)/(-16))/(n/(-4)) and -44/3.
33
Suppose 110 = 7*h - 2*h. Suppose 0 = 3*m + 2*m - 15. Suppose 3*r = -3*p - 2*r + 11, 0 = -m*p - r + 7. Calculate the least common multiple of p and h.
22
Let x be (6/4)/((-22)/78838). Let f = -5378 - x. What is the common denominator of f and 338/88 - (7 + (-216)/32)?
22
Suppose -5*k + 9 = -1. Find the common denominator of 1/16 and (k/1)/(24/(-474)).
16
Let c = 761 - 731. Calculate the least common multiple of 90 and c.
90
Let m = 523153/30 + -17436. What is the common denominator of 79/30 and m?
30
Let m(j) = j**2 + 1. Let r(k) = -k. Let z(c) = m(c) + r(c). Suppose 0 = -4*s + 5*s - 1. Calculate the least common multiple of z(0) and s.
1
Calculate the common denominator of 5/128 and (123/(-369))/(5/48).
640
Let k = 273 - 2609/10. Calculate the common denominator of k and (-2 - -3)/((-4)/(-9)).
20
Suppose 5*b = 15, 3 = 5*x - 5*b - 32. Let s(l) = -8 - 8 + l - 2 - 3*l. Calculate the smallest common multiple of x and s(-14).
10
Let i(z) = -67*z + 349. What is the least common multiple of i(5) and 284/14 - 4/14?
140
Suppose -70 = 5*r + 30. What is the common denominator of (6/r)/((-4)/(-76)) and 51/2?
10
Let m = -39215682801961/5833556940114 - -2774/831417385. Let g = 2/9745 + m. Find the common denominator of 68/9 and g.
18
What is the common denominator of (-10)/3*13/4 and -3 - (-70)/22 - (-6596)/264?
6
Let h = 56 + -66. Let m = 22 + h. Calculate the smallest common multiple of 27 and m.
108
What is the common denominator of ((-3)/18*1)/