 + s, -v = 3*s - 18. What is the least common multiple of 6 and v?
18
Suppose -3*v - 4524 = 5619. Let t = 16964/5 + v. Find the common denominator of t and 79/10.
10
Suppose 4*v = 7*v. Suppose -2*d = -6 - v. What is the least common multiple of 1 and d?
3
Suppose -n + 3*j - 11 = 0, 2*j = -5*n - j - 55. Let s = n + 12. What is the lowest common multiple of s and 9?
9
Let o be (45/(-2))/((-6)/40). Let d = -2809/6 - -470. Calculate the common denominator of o/8 - (-3 + 1) and d.
12
Let u = -29/148 + -306/185. Find the common denominator of (-259)/24 + 3/(-9) and u.
40
Let t = -52 + 72. Calculate the smallest common multiple of 52 and t.
260
Let r = -109 + 116. What is the least common multiple of 3 and r?
21
Let i = 1846 - 14685/8. Let l be (4/(-10))/(1/5). What is the common denominator of 2*190/(-72) + l and i?
72
Let y = 277/2 - 143. Calculate the common denominator of 11/14 and y.
14
Let n(r) = -r**3 + 6*r**2 + 3*r - 13. Calculate the smallest common multiple of 9 and n(6).
45
Find the common denominator of 9/26 and -1 + 5/((-100)/33).
260
Let n be 2/4*8/2. Let f = 112 - 209. Calculate the common denominator of ((-5)/n + 2)*f and 67/14.
14
What is the common denominator of 4/(-14)*63/108 and 28/37?
222
Suppose 5*t - 13*t + 192 = 0. Calculate the lowest common multiple of t and 16.
48
Let l = 1 - -12. What is the least common multiple of 6 and l?
78
Calculate the common denominator of 14 and (52/(-20))/((-16)/(-10)).
8
Let h(k) = k**3 - 2. Let i = 12 + -10. What is the least common multiple of h(i) and 20?
60
Calculate the common denominator of 982/44 - 10/(-55) and (1/6*-1)/1.
6
Let p(a) = a**3 + 6*a**2 + 3*a. Suppose -b + 3 - 8 = 0. What is the lowest common multiple of 6 and p(b)?
30
Let i = -13206877 - -3169619743/240. Let s = -2012/15 - i. Find the common denominator of s and 41/22.
176
Suppose 328 + 406 = 4*c + 2*l, 0 = 3*l + 15. Let o = c - 365/2. What is the common denominator of o and -35/4?
4
Let z be 4/(-2) - -4 - 182. Let c = -3/8909 - 721569/178180. What is the common denominator of (-662)/z + 8/(-20) and c?
180
Suppose 0 = -0*b - 2*b + 36. Let h = 13 - 3. Calculate the least common multiple of h and b.
90
Let b(y) = y**3 - 13*y**2 - 15*y + 24. Calculate the lowest common multiple of b(14) and 6.
30
Suppose -4*s + 69 = a - 6*a, 0 = 4*s + 3*a - 61. Suppose 4*f - 44 - 4 = 0. Let t = 20 - f. What is the lowest common multiple of s and t?
16
Calculate the least common multiple of (-3)/(4 - (-182)/(-44)) and 22.
22
Let m be -1 + (-12062)/(-12) + -2. Let d = -999 + m. Let s = 51/7 + -725/112. Find the common denominator of d and s.
48
What is the least common multiple of 8 and (-145)/(-5) - (5 - 0)?
24
Suppose 45 = 7*a - 11. What is the least common multiple of 48 and a?
48
What is the lowest common multiple of 16 and 13*4 - ((4 - -1) + -5)?
208
Let w = -43619/112 + 2696/7. What is the common denominator of (-1 + (-338)/(-36))*-1 and w?
144
What is the smallest common multiple of 4 and ((-6)/(-18))/(2/48)?
8
Suppose -z + 40 = -6*z. Let a(n) = n + 9. What is the smallest common multiple of a(z) and 8?
8
Let m = 189 - 175. What is the lowest common multiple of 50 and m?
350
Let r(i) be the first derivative of 3*i**4/4 - 2*i**3/3 + i**2 - i - 4. Let p(j) = -j**2 + 6*j + 1. Calculate the lowest common multiple of p(5) and r(1).
6
Suppose i - 32 = 1. Find the common denominator of (24/128)/((-5)/(-4)) and i/(-5)*(-6)/(-8).
20
Suppose 2*u + 4 = -5*w, -4*w + 11 = 5*u - 2*w. Let z(i) = -1 - 6*i**2 + i**u + 0 - i + 2*i - 4*i**2. Calculate the least common multiple of 4 and z(10).
36
Let l = -460 - -467. Suppose 2*h - 3*t - 19 = 0, 2*t + 15 = -t. Calculate the lowest common multiple of h and l.
14
Let i(t) = t**2 + 6*t - 6. Let o be i(-7). Suppose -z = -2*z + o. What is the least common multiple of z and (-6)/(3/(18/(-4)))?
9
Let v be (8/6)/(252/(-992)). Let p = v + 25/54. What is the common denominator of p and 79/18?
126
Let v = 135923/22 - 6177. Let o = -52747/6 + 8813. Find the common denominator of v and o.
66
Let z(f) = f + 15. Let k be z(-13). What is the least common multiple of -10*k*(-1)/4 and 11?
55
Suppose i + 408 = -3*s - 51, -i = 0. What is the common denominator of (-30)/4*s/27 and -39/8?
8
Let x = -4/3667 - 8749/2064521. Let j = 5052/2815 - x. What is the common denominator of 58/7 and j?
35
Let a = 7 + 13. Suppose -3*j - j = -a. Suppose -23 = -j*i + 27. Calculate the smallest common multiple of 8 and i.
40
Let d = -483 - -1957/4. What is the common denominator of d and -2 - -17*2/(-32)?
16
What is the common denominator of 21/4 and (2 - 1) + 90/(-8)?
4
Suppose 6*q - 16 + 4 = 0. Suppose -4*w = -d + 15, 0*w + 3 = -w. What is the smallest common multiple of q and d?
6
Let i = -34873/9168 - 5/573. Let l = -22727/6 + 3813. Calculate the common denominator of l and i.
48
Suppose j = 4*m + 16, -j - 2*m = 3*m - 34. Suppose 0*p = 4*f + 5*p - j, 2*p = -8. Suppose 2*l + 25 = 7*l. What is the smallest common multiple of l and f?
55
Let o(v) = 3*v - 20. What is the lowest common multiple of 28 and o(12)?
112
Let r = 1935 + -9634/5. Find the common denominator of 47/6 and r.
30
Let y be (2 + 39)/((-1)/2). Calculate the common denominator of ((-186)/(-39))/(1 + -3) and 3 - (-2 - y/22).
143
Suppose 2*f + 70 = 9*f. Calculate the smallest common multiple of 50 and f.
50
Let w = -5 - -8. Suppose 4*f - w*f + d = -1807, 2*d = -4*f - 7226. Let m = 10805/6 + f. Find the common denominator of m and 46/9.
18
Let z be ((-1)/(2/(-10)))/1. What is the common denominator of 13/z*(-9)/6 and 43/5?
10
Let b = -372 - -5961/16. What is the common denominator of 97/8 and b?
16
Let p be (-33)/(-5) + 20/50. Let n = -3 + p. What is the smallest common multiple of n and 18?
36
Find the common denominator of -39 and 24/(-2)*4/(-63).
21
Suppose -2*h = 4*y - 2, h = 4*y + 2*h - 5. Let z(p) = 5*p**2 + 1. Let v be z(-1). What is the least common multiple of 20 and y/(-1) + (v - 0)?
20
Let b be ((-4)/6)/((-2)/(-30)). Let q be -3*(1 + b/6). Suppose 0*h - 1 = -2*v + h, -7 = -q*v - 5*h. What is the least common multiple of 6 and v?
6
Let l = -119556 - -1014284/9. Let y = -6850 - l. Calculate the common denominator of y and 19/8.
72
Suppose 3*x - 9 = 3*m - 5*m, 3*m + 6 = 2*x. Let o = x - 0. Suppose 2*n + 4 = o*n. Calculate the least common multiple of n and 6.
12
Suppose w = -3*q - 58, -q - 3 = -2*w + 14. Let o = 50 + q. Let i = o + -21. Calculate the lowest common multiple of i and 2.
10
Let y(w) = -8*w - 2. Calculate the least common multiple of y(-2) and 54.
378
Let i be (-6)/(1/2 + 1). Calculate the lowest common multiple of 10/(-1)*(-1 - 0) and (-2)/i - (-11)/22.
10
Let u = 3222 + -61136/19. Let r = u - -1261/38. Calculate the common denominator of -89/8 and r.
8
Let s(y) = 2763*y**3 - 2*y**2 + 2*y - 1. Let n be s(1). Let r be n/(-8)*8/(-748). Let j = -113/17 + r. What is the common denominator of -47/8 and j?
88
Suppose 0*r + 3*r - 6 = -3*j, 4*j - 29 = 3*r. Suppose j*n + 3*l = 18, 3*n = -0*l + 3*l + 6. Let p = 10 + -3. What is the smallest common multiple of n and p?
21
Calculate the common denominator of 29/14 and (-154)/130*(-5)/2.
182
Calculate the common denominator of ((-1)/(-10))/((-8)/(-185)) and 103/12.
48
Suppose -1 = 3*s - 4. Calculate the common denominator of s/(11/74) - 3 and -10/11.
11
Suppose -s - 42 = -4*m - 9, 4*m - 27 = -5*s. Calculate the lowest common multiple of 11/4 + (-3)/(-12) and ((-27)/12)/((-2)/m).
9
Let r be (-45)/(-6) - 2/4. Suppose 2 = 5*i + r. Calculate the lowest common multiple of 8 - (2*i + 2) and 8.
8
Suppose -1 + 5 = p. Suppose 86 = c + 2*s, -3*c + p*s = s - 213. Suppose -4 = -4*q + c. Calculate the least common multiple of q and 4.
20
Let b = -36341/14 - -2594. Calculate the common denominator of 1/60 and b.
420
What is the common denominator of -71/4 and 10/(-6) + 2 + (-71)/78?
52
Let j = 117 + -493/4. What is the common denominator of 77/16 and j?
16
Suppose -189 + 3 = -2*o. What is the lowest common multiple of 8 and o?
744
Let j(x) = -320*x**3 - 2*x**2 + 2*x - 1. Let s be j(1). What is the common denominator of ((-10)/105)/(4/s) and (-3 - -1) + (-238)/(-24)?
84
Suppose -3*h - 21 = 2*s + 23, -5*h + 88 = -4*s. Let m(z) = z**2 - 3. Let y be m(3). What is the common denominator of (s/36)/(y/(-42)) and 89/16?
144
Let v be -8*(3 + (-