
144
Let h(d) = 2*d - 4. Let f be h(8). Suppose 0 = f*m - 11*m + 30. What is the smallest common multiple of 7 and ((-36)/m)/((-2)/(-10))?
42
Suppose 6*j - 1173 = 123. What is the common denominator of 285/j*(6 - 2) and -97/16?
144
Let v = 977 - 657. Calculate the lowest common multiple of 6 and v.
960
Suppose -20 = 5*p - 120. What is the common denominator of (582/20)/((-24)/p) and 369/30 - 6/12?
20
Let i = -657 - -3965/6. Find the common denominator of -59/36 and i.
36
Let v(r) = r**2 + 9*r - 5. Let x be v(-5). Let o(t) = -t**3 - t**2 - 2*t + 1. Let i be o(3). Let w = x - i. What is the smallest common multiple of w and 4?
16
Let d = -973 - 59. What is the common denominator of 87/2 and (152/d)/((-2)/(-6))?
86
Suppose 2*c - 4*s = 7*c - 56, -4 = 2*c - 5*s. What is the common denominator of 5/(-540)*-295 - 2/c and 119/24?
216
Let s(c) = -29*c**3 - 3*c**2 + 3*c + 4. What is the smallest common multiple of s(-1) and 15?
135
Let j be 0/3 + 2*-1. Let u = 4 + j. Let o = u + 9. Calculate the lowest common multiple of o and 10.
110
Calculate the common denominator of -37/100 and (2/96)/((-118)/25842).
400
Let i = 213 + -177. Calculate the lowest common multiple of i and 8.
72
Calculate the lowest common multiple of (1695/226)/((-6)/(-76)) and 25.
475
Suppose d - 5*d + 72 = 0. Suppose -10*s + 12*s - d = 0. What is the lowest common multiple of 21 and s?
63
Let q(s) = -9*s**3 + 161*s**2 + 18*s + 6. Suppose c - 3*w = -4*c + 144, 5*w = 3*c - 96. Calculate the least common multiple of c and q(18).
54
Let m(z) = -z**3 + 8*z**2 - 6*z - 5. Let q be m(7). Let k(p) = -p + 0*p**2 - 5 + 3 + 7*p**q + 4 + p**3. Calculate the least common multiple of 7 and k(-7).
63
Let n = 1709 - 1682. Calculate the lowest common multiple of 276 and n.
2484
Let n = 17 - -19. Suppose 44 = 4*r - 4*t, 4*t = 7*t - 9. Calculate the smallest common multiple of n and r.
252
Suppose -5*r + 238 = 12*r. What is the smallest common multiple of r and 14?
14
Let p = -16451/56475 + -35/753. Calculate the common denominator of -30 and p.
225
Let l = 124563/20 + -6232. Find the common denominator of 0 - 2/((-8)/(-66)) and l.
20
Let p be (6/(-9))/(2/(-3)). What is the common denominator of ((-488)/(-12))/(((-80)/6)/(-2)) and (-426)/120 + p/1?
20
Calculate the common denominator of (2/(-330))/(18/(-5085)) and 149/60.
660
Let h = -2049 - -2051. Calculate the smallest common multiple of (16/(-6))/(2/(-6)) and h.
8
Let y be 2/(-8) - 405/12. Let o = -19 - y. What is the least common multiple of 10 and ((-6)/o)/(4/(-200))?
20
Let c = 3 - 3. Suppose -2*h + c*h + 44 = 0. Let r = 36 - h. Calculate the lowest common multiple of r and 14.
14
Suppose -3*y - 102 - 12 = 0. Find the common denominator of 3/3 - 19/22 and 862/(-72) + y/(-171).
44
Let w(y) = -2*y**3 - 5*y**2 - 7*y + 5. Let u(t) = 5*t**3 + 11*t**2 + 14*t - 10. Let f(g) = 3*u(g) + 7*w(g). What is the lowest common multiple of 20 and f(4)?
180
Suppose 4*g = -g - 30. Let s(m) = m**3 - 5*m**2 - 6*m + 4. Calculate the lowest common multiple of s(6) and (4/(-5))/(g/90).
12
Suppose 0 = 4*i + 5*k + 23, -2*i - 12 = 2*k - 2. Let r be (-145815)/50*i/(-6). Let c = 973 + r. Find the common denominator of c and -119/6.
30
Let h(u) = -3*u - 7. Let l(r) = r**3 + r**2 - 2*r - 5. Let x be l(0). Calculate the least common multiple of 5 and h(x).
40
Let x = 164 - 26. What is the least common multiple of 18 and x?
414
Suppose 0 = -22*k + 27*k - 45. Calculate the least common multiple of 16 and k.
144
Let l = -79139/33814 + -3/6148. Calculate the common denominator of l and 101/20.
220
What is the common denominator of 3 + 1*(-11)/(-16) and 1569/(-312) - (-2)/26*2?
16
Let y = -50687/132 - -1150/3. Calculate the common denominator of 64/99 and y.
396
Let w(n) = n**2 + n + 2. Suppose 19 = -d - 0*d - 4*x, -10 = -5*d + x. Calculate the smallest common multiple of w(2) and d.
8
Let t = -23873 + 1289281/54. What is the common denominator of 82/15 and t?
270
Suppose 4*m - 30 = x, 2*m - 3*x - 2*x - 6 = 0. What is the smallest common multiple of m and ((-1)/((-1)/(-9)))/(-1)?
72
Let o(m) = 96*m**2 - m - 1. Let i be o(-1). Suppose -5*k = -k - i. Let f = -6 + k. Calculate the lowest common multiple of f and 6.
18
Let m be (2 - 1)/(-1)*-21. Let x be (m/12)/((-3)/12). Let z = x + 13. Calculate the smallest common multiple of 4 and z.
12
Suppose f + 32 = -252. Let g = f + 10277/36. Find the common denominator of 62/33 and g.
396
Let b(l) = -5*l - 19. Let j be 1/(((-18)/(-21))/(-6)). Let k be b(j). Calculate the lowest common multiple of 12 and 12/k*(-36)/(-3).
36
Suppose 0 = u + 2 - 10. Let i(q) = -q**2 + 19*q - 17. Let s be i(12). Let y = s - 45. Calculate the least common multiple of u and y.
88
Let d = -1286 - -1310. Calculate the least common multiple of d and 168.
168
Calculate the common denominator of 8/15 and -4*77/(-105) - 6.
15
Let v(c) = 2*c - 6. Suppose 3*k + 22 - 64 = -3*i, -5*i = -5*k - 20. Calculate the lowest common multiple of i and v(7).
72
Let l = 53095/58 + 524/29. Let r = 893 - l. Calculate the common denominator of -7/22 and r.
22
Find the common denominator of -10 - (-1534)/117 - -2 and 2/(-32)*(-142)/(-6).
144
Let n(s) = -3*s + 5. Let k be n(-4). Let w = -4 - k. Calculate the common denominator of w/180 + 2/(-6) and -49/6.
60
Let f = 3734/11 - 11240/33. Calculate the common denominator of 40/87 and f.
957
Let l be (-213)/4 + 39/(-52). Let z = 72 + l. Calculate the least common multiple of 20 and z.
180
Calculate the common denominator of (-648)/56 + 12 - (536/(-546) - -1) and (5/63)/(1/39).
273
What is the common denominator of 77/96 and (175/(-84))/5*38?
96
Let t(x) = -x + 32. Let m(v) = 2*v + 20. Let g be m(-9). Let j = g - -12. What is the least common multiple of t(j) and 18?
18
Let c(m) = -23 - 19*m - 16*m + 28*m. Calculate the least common multiple of c(-5) and 90.
180
Let k(u) = u**3 - 8. Let m be k(0). Let i = -5 - m. Suppose 0 = -i*l + 55 - 1. Calculate the smallest common multiple of l and 14.
126
Calculate the common denominator of -89/126 and (-50)/2760*1256/(-20).
2898
Let i be (-2320)/(-3)*12/(-30). Let p = i - -303. Let j = 170/9 + -74/9. Calculate the common denominator of p and j.
3
Let s(t) = t - 2. Suppose 2*m = -10*m + 60. What is the lowest common multiple of s(3) and m?
5
Suppose 3*h - 2*h = -16638. Let d = h - -299389/18. What is the common denominator of d and -11/24?
72
Let p = -22 - -40. Suppose -112 - 32 = -9*a. What is the smallest common multiple of a and p?
144
Suppose 3*j - 4*r = 15 - 4, 0 = 5*r + 10. Let f = 17 + j. Calculate the smallest common multiple of 20 and f.
180
Let a = 36883/16680 + -2/695. Find the common denominator of 51/8 and a.
24
Let j = 3 + 5. Suppose 168 = -j*h + 15*h. Calculate the lowest common multiple of 12 and h.
24
Suppose -172 = -7*o - 32. What is the least common multiple of o and 4?
20
Let g = 20779 - 14213. Let j be (g/744)/((-4)/3). Let w = -335/31 - j. What is the common denominator of -119/20 and w?
80
Let x(s) be the third derivative of s**6/120 - s**5/12 - s**4/3 - 4*s**2. Let y be x(6). Find the common denominator of 4 + -6 - 23/y and 95/8.
24
Let x = -2614219/99 - -26406. Find the common denominator of x and -61/54.
594
Let r = -6769 + 108207/16. Let d = 114496667/54984 - -80/6873. Let l = 2075 - d. Calculate the common denominator of l and r.
16
Let d = -1048599/70 - -14979. What is the common denominator of d and 47/40?
280
Let n be -6 + 8/((-12)/(-3)). Let s be n/10 - (-39)/(-15). Calculate the least common multiple of (-20)/(-15) + (-2)/s and 9.
18
Let k = 93/41 + -1479/164. Calculate the common denominator of k and (-278)/(-36) + 2/4.
36
Let p = 7775896/63 + -123424. Let y = 3412/45 - 383/5. Let b = y + p. Find the common denominator of 35/9 and b.
63
Let v = 5/213 - -3997/2130. Suppose 6*b - 93 - 21 = 0. What is the common denominator of b and v?
10
Let p(a) = -a**3 - 2*a**2 + 2*a. Let m be p(-2). Let x = 125/16 - 533/144. Calculate the common denominator of x and 10/m + 296/176.
99
Calculate the common denominator of (-313)/297 + 27/27 and -29/21.
2079
Calculate the common denominator of -16/15 and (0 + (-1)/14)/((-1749)/(-8692)).
1155
Let j be (-1)/(16/12 + -1). Calculate the common denominator of j/12 - 130/(-24) and -149/6.
6
Calculate the common denominator of (23 - 20) + 91/(-9)