t n = 2924/19 + -182485/1178. Let u = -3763/744 - n. What is the common denominator of u and 31/10?
120
Suppose -5*p - 64 = -2*d, -2*d + p + 50 + 30 = 0. What is the least common multiple of 9 and d?
126
Let c be (-12)/18 - 686/153. Let t = 70/51 + c. Calculate the common denominator of t and 174/4*1/(-2).
36
Let i(x) = 2*x. Let m be i(1). Find the common denominator of (-4)/10 + (-1281)/(-90) and (4/72)/(m/(-232)).
18
Let f = 167 + -147. Calculate the least common multiple of 70 and f.
140
Let h(r) = -r**2 - 8*r + 8. Calculate the smallest common multiple of h(-8) and 20.
40
Suppose 3*a - 4*a = -60. Let v be (a/(-25))/((-2)/110). What is the common denominator of 6/(-18) + (-466)/v and -79/20?
220
Let g(y) be the second derivative of -y**5/20 - y**4/3 - 5*y**3/6 + y**2/2 - y. Let b be g(-4). Let i = b + -7. What is the lowest common multiple of i and 2?
14
Let a be 8453/900 - 8/36. Let y = a - 48/25. Calculate the common denominator of y and 83/4.
4
Suppose -17 = -t + 5. Calculate the lowest common multiple of t and 40.
440
Let r = 659/232 + 1/29. Let m = -4 - -6. Calculate the common denominator of r and 106/(-6) - m/4.
24
Let t = -19161/950 + 4/1425. Calculate the common denominator of t and 3/8.
24
Suppose k + 4*k = 110. Calculate the smallest common multiple of k and 12.
132
Suppose 0 = 3*l - 5 - 43. Suppose -u + 5*u = l. Calculate the lowest common multiple of u and 6.
12
Let j(l) = l**2 + 11*l + 13. Let g be j(-10). Let b(w) = -3*w**2 - 2*w**3 + w**3 - 3 + g*w - w**2. What is the lowest common multiple of 6 and b(-5)?
42
Let s = -131/12 - -409/60. Let f = 234/23 + 1579/46. Find the common denominator of s and f.
10
Suppose 6*g = 2*g. Suppose 11 = c - g*c. What is the least common multiple of 9 and c?
99
Let h = -9 - -19. What is the common denominator of -9/22 and ((-22)/8)/((-4)/h)?
88
Let l = 44041/10 + -4400. Let q(k) = -4295*k - 3. Let a be q(-3). Let m = -128927/10 + a. Find the common denominator of m and l.
10
Calculate the common denominator of -61/4 and ((-2)/(-4) + 1304/48)/6.
36
Let o = -9 - -6. Let l be (-10 - 2)/(-5 - o). What is the common denominator of 9 and l/(-27) - 494/45?
5
Let w(z) = z**2 - 7*z + 4. Let b(k) = -3*k - 4. Let l be b(-4). Calculate the lowest common multiple of 22 and w(l).
132
Calculate the common denominator of -7*3*12/40 and 63/2*(-2)/(-8).
40
Let p be -2 + -81 - (0 - 1). Calculate the common denominator of p/3 + (2 - 0) and 57/2.
6
Let i = -20 + 34. Suppose 2*d - i - 2 = 0. What is the lowest common multiple of 20 and d?
40
Suppose 0 = 3*r + 2*q - 64, -5*r + 131 = 4*q + 21. What is the smallest common multiple of r and 22?
198
Let y(g) = -g**3 - 10*g**2 - 11*g - 4. Suppose -z - 2 = z. Let n = z - 8. What is the least common multiple of 20 and y(n)?
140
Let h(w) = w**3 - 9*w**2 + 11*w - 6. Calculate the smallest common multiple of h(8) and (-45)/(-2) - (-7)/(-14).
198
Let f = 1 + 13. Let o(x) be the first derivative of x**4/4 - 4*x**3/3 + 3*x**2/2 + 2*x + 1. What is the least common multiple of f and o(3)?
14
Suppose 6*i + 1 = 7*i. Let p = i + 3. What is the smallest common multiple of p and (30/8)/(6/32)?
20
Let q(k) = 469*k + 1. Let x be q(-1). Let p be -2 + (-2)/(-2) - 7. Find the common denominator of 27/5 and 2/p*x/10.
10
Suppose -5*x = a - 2304, -a + 1382 = -2*x + 5*x. Calculate the common denominator of 2050/440*2/5 and x/20 - (-1)/5.
44
What is the common denominator of -2*3/(60/53) and 3/12 + (-109)/(-4)?
10
What is the common denominator of ((-5)/40)/(1/(-17) + 0) and -95/6?
24
Let b = 21750 + -261151/12. What is the common denominator of 115/12 and b?
12
Suppose -z - 17 = -2. Calculate the common denominator of 265/(-12) - z/(-60) and 27/2.
6
Let q(b) = 15*b**2 - 2*b - 10. Let s be q(-7). Let p = s + -7429/10. What is the common denominator of -2*((-145)/(-36))/1 and p?
90
Let p be 0 + (-2)/(-1) - 23. Let k = -17 + 14. What is the common denominator of -7/8 and (k/p)/(8/332)?
56
Suppose 3*t + 4*m = -10, -t + 6*t + 3*m + 2 = 0. Calculate the least common multiple of 22 and t.
22
Let q = 7/507 + -6745/11154. Let p = 7209/70 + -681/7. Calculate the common denominator of p and q.
110
Let s(g) = -g**2 - 8*g - 2. Let l be s(-7). Suppose -4*b + 16 = 3*x + b, l*x = 3*b + 4. Calculate the smallest common multiple of x and (1 - 5)*5/(-10).
2
Suppose -3*f + 2*k - 8 = -20, -4*f + 4*k + 16 = 0. Let u(q) = -q**3 - 7*q**2 - 3*q - 12. What is the least common multiple of f and u(-7)?
36
Let g = 256/15 + -97/6. Find the common denominator of g and -137/12.
60
Suppose -2*c + 0*c + 6 = 3*v, -v = -3*c + 20. Calculate the least common multiple of (46/(-6) + 1)*-3 and c.
60
Suppose -4*c + 29 = 9. Calculate the common denominator of c and 249/16*4/(-6).
8
Let m(x) = -7*x - 2. Let z be m(6). Find the common denominator of 1*53*2/z and 3/10.
110
Let g be (-550)/8*252/(-1270). Let b = g - 18/127. Calculate the common denominator of -115/14 and b.
14
Suppose 2*q - 3*n - 94 = 791, 1330 = 3*q - 4*n. Find the common denominator of ((-254)/24)/((-2)/4) and (-4555)/q + (-2)/(-9).
30
Let b = 1973 + -11809/6. Calculate the common denominator of b and -23/10.
30
What is the common denominator of (346/(-24) - 0) + 4 and 13/22?
132
Suppose 0 = 3*j + 3 - 30. Let z = j + 3. What is the smallest common multiple of z and 12?
12
Let o(t) = 2*t**3 - 2*t**2 - 2*t. Let g be o(2). Suppose g*v - 90 = -v. What is the least common multiple of 12 and v?
36
Suppose n - 23 = 4*p, 4*n - 2*p = 3*n + 19. What is the lowest common multiple of -6*2/((-18)/n) and -10*(0 + 1 + -2)?
10
Suppose -g + 12 = -n, 5*g + 4 = 2*n + 37. What is the smallest common multiple of 10 and n/6*(-8)/6?
10
Let a = -299 - -623/2. Let t = 38542/8635 + -7/785. What is the common denominator of a and t?
22
Calculate the common denominator of ((-314)/(-52) - 6)*232/(-6) and -17/15.
195
Suppose -5*d + 81 = -w, 0*d - 5*w = -5*d + 85. Calculate the smallest common multiple of d and 14.
112
Let b(v) = -v**3 - 3*v**2 + 5*v + 3. Let a be b(-4). Calculate the common denominator of (a/3)/(20/(-93)) and (5/(-12))/(2/18).
20
Let y be (-3)/5 - (-32)/(-5). Let x = -5 + 2. Let v = x - y. What is the least common multiple of 1 and v?
4
Let w be (-2)/6 + (-10)/(-3). Let i be (-2)/w + 60/(-441). Let p = i + -11899/2940. Calculate the common denominator of p and -61/20.
20
Suppose 2*c = 3*c + 2. Let x be (c/4)/(8/(-16)). What is the common denominator of 113/10 and x/(-2) + (-137)/18?
90
Let c = -785 + 116179/148. Let r = -1263/740 - c. What is the common denominator of r and -25/16?
80
What is the smallest common multiple of 7*(2/(-4))/((-5)/10) and 8?
56
What is the common denominator of 12/(-9)*(-75)/(-34) and (2/(-15))/((-5)/700)?
51
Let i = -484 - -949/2. Find the common denominator of i and -1/6.
6
Let t be 4/(-6) - (-30839)/9. Let k = t + -3422. Calculate the common denominator of k and -43/11.
99
Find the common denominator of 21/2 and (1/(-18))/(8/(-654)).
24
Let u = -4 - -9. Calculate the common denominator of -95/6 and -15*(2/u + -1).
6
Let s = -1/116 + -921/812. Find the common denominator of s and (-200)/6*12/(-8).
7
Let q = -64 + 97. Suppose 5*w = 2*w + 9. Suppose 0*s = -w*s + q. What is the lowest common multiple of 9 and s?
99
What is the common denominator of -37/10 and ((-85)/(-30) - 3) + 70/(-12)?
10
Let j(w) = 23*w + 1. Let z be j(2). Let b = z + -28. Find the common denominator of 38/11 and b.
11
Let p be 0 - 3 - (-9 - 1). Let v = 10 - p. What is the smallest common multiple of 5 and v?
15
Let r = -36695/9 - -4085. Calculate the common denominator of ((-97)/(-18) - 6) + 5 and r.
18
Let r = 3208 + -64071/20. Suppose 3*b = -2161 - 236. Find the common denominator of b/(-126) - (-2)/(-7) and r.
180
Suppose 3*i = -l - 2, -2 = 3*i + 2*l - 1. Find the common denominator of (-6)/(-33) + 38/(-22) and (-110)/8 + i/1.
44
Let n = -44 - -45. Calculate the smallest common multiple of n and 18.
18
Calculate the smallest common multiple of 18 and 9/(-3) - (-94 - -1).
90
Let z = -135897/20 + 6797. Find the common denominator of z and 8/(-32) - (-2)/32.
80
Suppose 4*u + u - 30 = -5*v, u = -2*v + 13. Calculate the smallest common multiple of v and 7.
7
Let d be -2 + -1597 - (2 - 5). Let y = 3265/2 + d. Calculate the common denominator of y and (28 - 1)*3/(-4).
4
Let g = -23 - -29