late the common denominator of -31/21 and q.
42
Let z = -627/5 + 245/2. Let v = -1487677/216 + 39326/27. Let k = 5439 + v. Find the common denominator of z and k.
40
Let t = 12 + -8. Let l(c) = -c**3 - 15*c**2 - 2*c + 1. Let h be l(-15). Let x = h + -22. What is the least common multiple of t and x?
36
Let d(q) = 16*q - 39. Let b be d(6). Let o = -41 + b. Calculate the least common multiple of 14 and o.
112
Let d be ((-12)/(-15))/(6/480). Let j = d + -14. Calculate the smallest common multiple of 50 and j.
50
Suppose -4*z - 66 = -c, 3*z = 2*c + 2*c - 238. What is the least common multiple of 11 and c?
638
Let j = -1092/23 + 17473/322. Let i = 125 - 153/2. Calculate the common denominator of i and j.
14
Let i be ((-3)/(-2))/((-9)/(-30)). Suppose -1 + 11 = i*g. Calculate the lowest common multiple of g and 6.
6
Suppose -r - 8 = -y - 3*r, 0 = 2*y - 5*r + 20. Suppose -w + 2*w = y. Suppose 0*h + h - 6 = w. Calculate the least common multiple of h and 11.
66
Let a = 41 - 40. Find the common denominator of (62/(-12) - a) + 2/8 and 1/34.
204
Let y = 31973429/12949832 - -345/22799. Let j = 10/71 + y. Calculate the common denominator of j and 99/2.
8
Calculate the common denominator of (6/(-4))/((-108)/(-122)) and 25/4.
36
Let i = 30523/24 - 3788/3. What is the common denominator of i and -51/16?
16
Calculate the common denominator of 949/78 - (-8 - 0) and (2/(-30))/((-2)/(-68)).
30
Let y = -8 - -11. Let m = -673 - -683. Calculate the lowest common multiple of y and m.
30
What is the lowest common multiple of 144 and (-59)/(-5) + (13 - (-512)/(-40))?
144
What is the smallest common multiple of 6 and 583/(-33)*-3 + -12?
246
Suppose 0*n + 5*n = 440. Let z(q) = q**2 + 5*q + 2. Let b be z(-5). Suppose -b*k + n = 2*k. Calculate the lowest common multiple of k and 8.
88
Let x = 24 - 14. Let g(c) = -c**2 + 9*c + 15. Let w be g(10). Suppose -t - w = 4*d, 0*d = -5*t - 2*d + 47. Calculate the lowest common multiple of t and x.
110
Suppose -87 = 10*c - 687. Calculate the smallest common multiple of 66 and c.
660
What is the least common multiple of 8 and 8/(-16) + 342*4/16?
680
Let f(n) = -25*n - 53. Let p(t) = -8*t - 18. Let o(d) = -6*f(d) + 17*p(d). Calculate the smallest common multiple of 16 and o(4).
272
Suppose -2*y = -557 + 135. Suppose 5*q = 49 + y. Suppose q = 2*n + 16. What is the least common multiple of n and 14?
126
Let a be 6266139/22 - (-1)/(-2). Let g be 1/2 - a/12756. Let k = g - 5/1063. What is the common denominator of -125/12 and k?
12
What is the common denominator of -46/19 and 3/(2291/(-870) - 4/(-5))?
209
Let u = -147153/460 - -7230/23. Calculate the common denominator of u and 47/12.
60
Let q = 108 - -123. Suppose -5*o = -s - 6, 4*o = -13 + 1. Calculate the common denominator of 1062/q + 3/s and 19.
11
Suppose -7 = -3*t - 5*f + 7, -t = -2*f + 10. Find the common denominator of -7/16 and t/(-6)*(-402)/40.
80
Suppose -6*p - 10 = -p. Let l be 0 - (5 + 1)*p. Calculate the smallest common multiple of -2*(3 - l/3) and 12.
12
Let o = -6 - 3. Let s be 3/o - (-328)/(-33). Let x = 21/2 + s. What is the common denominator of 19/22 and x?
22
Suppose 150 = 11*o - 6*o. What is the smallest common multiple of o and 40?
120
Let y = -1246 - -7541/6. Find the common denominator of 49/60 and y.
60
Let c = -21719/6 - -379886/105. Calculate the common denominator of -47/8 and c.
280
Let f = -9 + 11. Suppose f*w + 2*w = 8. What is the common denominator of 47/8 and (595/w)/7 - 2?
8
Let m = 214 - 851/4. Calculate the common denominator of (-121)/(-24) - (-2)/(-3) and m.
8
Suppose -3*k = 3*s + 3, 4*k + 13 = 3*s - 5. Suppose -z = -2*p + 18, s*z - 2 + 5 = p. What is the smallest common multiple of p and 4?
44
Suppose 2*m + 16 = -0*p + 2*p, 5*p - 36 = m. Suppose p = 2*a - 5. Let c = a + 1. Calculate the smallest common multiple of c and 6.
42
Calculate the least common multiple of (-12)/10 + (-36900)/(-125) and 12.
588
Calculate the common denominator of 71/300 and (-3)/(-9) + 1197/210.
300
Let u(m) = -m - 2. Let c be u(-2). Suppose 2*q = -7 + 3, c = -2*s + 4*q + 14. What is the lowest common multiple of s and (-10)/175 + 37/35?
3
Let m(z) = 6*z - 1. Let b(w) be the first derivative of -w**3/3 - 3*w**2/2 + w - 3. Let n be b(-3). What is the smallest common multiple of m(n) and 11?
55
Let z = 101123/468 + -2609/12. Let b = -46/9 - z. What is the common denominator of -12/7 and b?
91
Let g(a) = -a**3 + 13*a**2 - 12*a - 4. Let l be g(12). What is the common denominator of 113/6 and (-1360)/(-700) - l/(-5)?
42
Let w = 195245 + -144676627/741. Find the common denominator of -97/6 and w.
1482
Let w = -3556593/1613260 - -2/36665. Let z = w - 9/4. Find the common denominator of ((-62)/(-186))/(94/92 - 1) and z.
33
Let j = 2203 - 2197. Suppose 2*h = 10, -y + 95 = 4*y - h. Calculate the lowest common multiple of j and y.
60
Let a(u) = 7*u + 21. Let j be a(-7). Let i = -3 - j. What is the common denominator of -43/7 and i?
7
Let m be 2/(-10)*629448/16. Let q = m + 7876. Calculate the common denominator of (-2)/4 + 585/72 and q.
40
Let f = 826 - 1609/2. Calculate the common denominator of f and -73/6.
6
Suppose -3*v - 4*d - 18 + 45 = 0, 11 = v + 2*d. Suppose 0 = -3*q + 5*s + 40, 9 = -v*s - 1. Calculate the smallest common multiple of 3 and q.
30
What is the common denominator of 11124/(-21924) + 2 + 11/(-7) and -119/348?
2436
Let k be ((-46)/(-8))/(5/220). Let d be -6*(254/k - 1). Let p = d - 5771/2024. Find the common denominator of p and -9.
8
What is the common denominator of -9/5 and ((-2807)/308 - -7)/(3/6)?
110
Suppose -3*q - 4*q = -70. Suppose 14*n - 56 = q*n. What is the least common multiple of n and 7?
14
Suppose -3*t + 13 + 14 = 0. Let p = -354 + 360. What is the least common multiple of p and t?
18
Suppose -2*v + 10 = 6. Let x(d) = 5 + 2*d - 8 - v*d + d. What is the least common multiple of 2 and x(5)?
2
What is the common denominator of 165/(-220)*(-186)/27 and -52/27?
54
Let b = -526/13 + 1003/26. What is the common denominator of 43/247 and b?
494
Suppose 11 = 3*x - b, -x + 6*x = b + 19. Suppose 57 = -21*z + 20*z. Let o = 65 + z. Calculate the least common multiple of o and x.
8
Let f(o) = o**3 - 5*o**2 + 2*o + 10. Calculate the lowest common multiple of f(5) and 226.
2260
Let p be 4738/(-20) + (-2)/(-5). Let n = p + 223. Find the common denominator of 1 + (1 - 110/(-16)) and n.
8
Suppose 0 = -50*z + 49*z + 3. Suppose -3*k + 17 = c + 4*c, -25 = -3*k - c. What is the lowest common multiple of z and k?
9
Let i(v) = -v**3 + 4*v**2 - v - 2. Let c be i(3). Let t = -2 - -3. Calculate the least common multiple of t and (96/30)/(c/10).
8
Let n = 17 - -1. Let a be 3*1*12/n. What is the lowest common multiple of 6 and (a/(-6))/(1/(-3))?
6
Let f = -2 - -35. Let n = f - 29. Calculate the smallest common multiple of 14 and n.
28
Let l be 3*((-97)/(-39) - (-4)/(-26)). Suppose 2*u = -l + 35. Suppose -y = y - 80. What is the least common multiple of u and y?
280
Let b = 13972/25 - 559. Calculate the common denominator of ((-1)/(-4))/(5/(-146)) and b.
50
Let f = 80 + -75. Suppose 5*z + f*g = 125, 7*g - 107 = -5*z + 8*g. Suppose -5*y = -6*y, -20 = -o + 2*y. What is the lowest common multiple of o and z?
220
Suppose 5*x - 3*x - z - 9 = 0, x - 4*z = 22. Suppose -x*b + 38 - 2 = 0. Calculate the smallest common multiple of 4 and b.
36
Let b = 57669022/13 + -266777029763/60138. Let r = b + 3/514. Find the common denominator of r and (-162)/(-4)*(-2)/(-12).
36
Let t = 14 + -10. Suppose 4*q = 16, t*n + 2*q + 48 = -2*q. Let s = -6 - n. What is the smallest common multiple of s and 24?
120
Let v = 22055665/1517 - 14539. Let s = 15156/10619 + v. Let y = -10/559 + 16301/5031. Find the common denominator of y and s.
63
Let l = -55597/2052 + 721/27. Find the common denominator of -23/380 and l.
1140
Suppose -2*f = -0*f - 18. Let u(t) = 2*t - 2. Let a = -12 + 34. Calculate the least common multiple of a and u(f).
176
What is the common denominator of (-117 - (-7 + 3))*2/56 and -109/28?
28
Let u = 1/2749 - 162201/27490. Calculate the common denominator of 79/84 and u.
420
Let q(y) = y**3 + 10*y**2 - 12*y + 5. What is the least common multiple of 160 and q(-11)?
160
Let c = 41 + -152. Let l = c + 131. Calculate the lowest common multiple of 1 + 2/(4/14) and l.
40
Let p = -5 - -35. Suppose 18