228
Let w = -5841/35641 - -81682740773/1425640. Let v = 57305 - w. Let m = 87/8 - v. Calculate the common denominator of m and -36/11.
55
Calculate the common denominator of 1*(-3)/24 - (-2147)/56088 and 5/164.
1476
Suppose 3*g - 3 - 57 = 0. What is the least common multiple of g and 20?
20
Suppose -2*n + 6*n - 8 = 0. Suppose -15 + 9 = -n*j. Suppose u = j*l - 4 + 24, -3*l - 9 = 0. What is the lowest common multiple of u and 11?
11
Suppose -2*q + w = -0*w + 28, -2*q - w = 20. Let z = q - -15. Suppose -3*v - 12 = h - 4*h, -5*h - z*v = 4. What is the lowest common multiple of h and 2?
2
Let a be (8 + -5)*(-1673)/3. Let d = -8397/5 - a. Let h = -1/6 - 10/3. Calculate the common denominator of d and h.
10
Suppose -4*m + 1052 = -4*k - k, -k = m + 205. Let q = -3408/5 - -13977/20. Calculate the common denominator of (-4)/14 - k/(-154) and q.
44
Let s(l) = 7*l - 17. What is the least common multiple of s(7) and 16?
32
Let t be (-2 + 212)*((-32)/(-20))/4. What is the common denominator of 79/12 and (-49)/84*(-27)/t?
48
Suppose -238 = 5*s - 12*s. Suppose -s = -5*d + 26. Suppose -2*t + 6*t - 80 = 0. What is the smallest common multiple of d and t?
60
Suppose 3*v + 124 = 3*y + 46, 40 = -2*v + 5*y. Let r(m) = -15*m**2 + 49*m - 10. Let k be r(3). Calculate the least common multiple of 10 and (12/v)/(k/(-20)).
20
Suppose 0 = 6*m - 10*m. Suppose 2*r - 6*r + 108 = m. Let i = 135 + -124. What is the smallest common multiple of r and i?
297
Let l = -3921/748 - 3/374. Find the common denominator of -3/28 and l.
28
Let c = -142 + 145. Calculate the lowest common multiple of c and 38.
114
Let d = -104 + 106. Let y(w) = 9*w - 2. Calculate the least common multiple of 36 and y(d).
144
Let g(h) = -50*h - 2. Calculate the smallest common multiple of 13 and g(-1).
624
What is the smallest common multiple of -16*(-3)/6 - (1 + -4) and 11?
11
Find the common denominator of (610/84)/(-5) - 2 and -73/42.
42
Find the common denominator of -43/50 and 0 + 4 + 6840/(-2200).
550
Let c be (-46235959)/(-6860) + (-1)/7*2. Let b = c + -6743. Calculate the common denominator of b and 37/25.
100
What is the common denominator of (7 - 307/(-2))/(-36) and -99/56?
168
Suppose 18*v - 78 = 13*v - w, w = -2. Let t = 3629/7 - 523. Calculate the common denominator of t and v.
7
Suppose -48 = 172*y - 180*y. Let f(g) = g**3 - 4*g**2 - 6*g + 1. Let p be f(5). Calculate the least common multiple of (4/p)/((-2)/18) and y.
18
Let p(a) = a**2 - a + 12. Let v be p(0). Suppose 3*m - 5*z + 55 = -v, 5*m = -2*z - 122. Let h = -11 + m. Calculate the common denominator of h and 43/7.
7
Suppose 5*y - 270 = -0*y. Suppose -84499*q + 84490*q = 18 - 90. What is the smallest common multiple of y and q?
216
Suppose -2*p + 9 = 3. What is the smallest common multiple of 4 and ((-17)/p - -5) + 26/3?
8
What is the common denominator of ((-32)/(-36))/(90/25 - 4) and 103/80?
720
Let y be (-1)/5 + 18663/(-60). Let h = 313 + y. Calculate the common denominator of 3 + (-1)/(-1) + (-30)/33 and h.
44
Let w be ((-28)/10)/((-8)/(-245)). Let u = -431/5 - w. What is the common denominator of u and -87/16?
80
Let v = -27 - 0. What is the common denominator of v/(-2)*(1 + (-4)/48) and 1/5?
40
What is the common denominator of (880/96)/(6/4) and 7?
9
Let h(s) = s + 10. Let z(m) = -m - 8. Let d be z(0). Let v be h(d). Suppose -7 = v*r - 27. What is the lowest common multiple of 17 and r?
170
Let j(z) = -z**2 + z + 110. What is the least common multiple of 108 and j(10)?
540
Let n(m) = m + 2. Let d be n(10). Suppose 0 = 5*o - 5, 4*o - 28 = -5*c + c. Calculate the lowest common multiple of d + (0 - 0)*4/8 and c.
12
Let g be 0 - -1 - 8/2. Let v(i) = 11*i. Let m be v(1). What is the smallest common multiple of (m + -14)*1/g and 5?
5
Suppose 0*n + 5*n - 176 = 4*i, -4*i = n - 40. Calculate the smallest common multiple of 90 and n.
180
Let c = -32 + 29. Calculate the smallest common multiple of 12 and (63/(-14) - -6)*(-44)/c.
132
Calculate the common denominator of -19/35 and 2 + (146/20 - 0).
70
Let c(h) = 5*h**3 + 8*h**2 - 7*h - 14. Let g be c(11). Let k = -165673/22 + g. Calculate the common denominator of k and 21/10.
110
Let f = -754 - -7511/10. Calculate the common denominator of 101/48 and f.
240
Suppose 10*m = 6*m + 4*n + 64, 0 = -5*m + n + 64. What is the least common multiple of m and 14?
84
Suppose -13*h + 15 = -8*h. Let c be -6*h*-2*-1. What is the common denominator of (-4)/(-24) + (-183)/c and 19/18?
36
Let z = -39023/41547 - 2/13849. Calculate the common denominator of z and (-103)/42 + ((-44)/(-24) - 1).
231
Suppose 12 = p - 10. Let z(f) = 7*f**2 + 2*f - 1. Let y = -25 + 26. What is the lowest common multiple of p and z(y)?
88
Let a = -853 - -4227/5. Calculate the common denominator of 2/3 - 40/12 and a.
15
Let t(s) be the third derivative of s**6/40 - s**4/24 + 5*s**2. Let y be t(1). Find the common denominator of 101/8 and (-354)/(-30) + (-6)/y.
40
Calculate the common denominator of 6 - 9 - (-27)/(-10) and -83/120.
120
Let s = 61/20 - -13/15. Calculate the common denominator of 15/16 and s.
48
Let h(d) = 4*d**2. Suppose -39 = -4*k - 7. What is the least common multiple of (-1)/4 + 34/k and h(-1)?
4
Suppose 0 = r + 1134 + 416. Let o = r + 2570. Calculate the common denominator of 1/(-5)*o/88 and -133/6.
66
Let w = -48 + 12. What is the lowest common multiple of 20 and 1*w*1/(-3)?
60
Suppose -2*g = 3*r - 98, -3*g + 17*r - 20*r + 153 = 0. Calculate the lowest common multiple of g and 20.
220
Suppose 41*t + 198 = 59*t. What is the lowest common multiple of t and 99?
99
Let w = -4012 - -430. Let y = 35881/10 + w. Calculate the common denominator of 32/31 and y.
310
Suppose 1565 = -0*c + 5*c. Let s = c + -39. Let z = s - 2639/10. What is the common denominator of z and 43/9?
90
Suppose 2*d + 29 = 4*d + m, 5*d = -2*m + 72. Let t(x) = x**2 + 3*x. Let w be t(3). What is the least common multiple of d and (24/w)/((-4)/(-36))?
84
Let w = 319 - 8582/27. Find the common denominator of 67/8 and w.
216
Suppose -5*n + 8*n = 3. Suppose -3*f - 25 = 2*f - 5*h, f + h - n = 0. Calculate the common denominator of 56/3 and f/(-9)*(-132)/16.
6
Let z = 31 + -4. Let g(w) = -w**3 + 7*w**2 - 6*w + 13. Calculate the lowest common multiple of z and g(5).
297
Let d = 3963 + -2563. Suppose -4*s = -5*s - 3*n - 485, 2*n - d = 3*s. Let y = -7445/16 - s. Find the common denominator of y and 87/16.
16
Suppose 6*i = 2*i + 164. Let x = i - 29. Calculate the least common multiple of x and (16/12)/((-6)/(-45)).
60
Let j(h) = h**2 + 2*h - 24. Let m be j(-6). Suppose m = -3*x - 4*s + 112, 86 = -x + 3*x - 3*s. Calculate the least common multiple of 2 and x.
40
Let b(h) = h**3 - 11*h**2 + 6*h - 12. Let r be b(11). Let n be (-4)/(3*(-4)/r). Let o = 32 - n. What is the least common multiple of o and 12?
84
Let l(g) = -4*g + 92. What is the least common multiple of l(4) and 2?
76
Calculate the common denominator of ((-26)/65)/(2/50) and ((-64)/(-6) - -5)/(2/(-3)).
2
Let o = 40/3651 + 107764/383355. Calculate the common denominator of -125/6 and o.
630
Let a = -3/896 - -7285/34944. Calculate the common denominator of a and -19/8.
312
Suppose 2895 = 13*z - 2019. Calculate the smallest common multiple of 252 and z.
756
Let i(r) = -r + 3. Suppose -j + 256 = 17*j - 14. Calculate the lowest common multiple of j and i(-8).
165
Let u = 157 - 159. Calculate the common denominator of -27/2 and 4/(-1) - ((-182)/(-36) + u).
18
Let k = 211/525 - -9/25. What is the common denominator of ((-1)/9)/(203/(-5133)) and k?
21
Let s be (-1)/1 + 51/19. Let i = -141472763/114 + 1241004. Let n = s - i. Find the common denominator of n and 121/6.
6
Suppose -256*u = -225*u - 20181. Calculate the smallest common multiple of 21 and u.
651
Let p be 74/16 - 15/(-40). Suppose 0*r + p*k = -4*r + 52, 0 = -4*r - 4*k + 56. What is the smallest common multiple of r and 14?
126
Let f = 4 - 0. Suppose 30 = f*j - j. Suppose -550*u - 16 = -554*u. What is the lowest common multiple of u and j?
20
Let f be 4/(-26) - (-11)/(-13). Suppose 24*g - 1695 = 29*g. Find the common denominator of 3*(g/(-126))/f and 121/6.
42
Let a = 24/36737 + -378501527/330633. Let c = a + 1141. Calculate the common denominator of c and (2/12)/((-4)/(-498)).
36
Let a be (-1)/(1 - 18/15). Suppose -3*j + u + 3*u = 36, -2*j = -a*u + 