e lowest common multiple of d and (-1)/(0 - (-2)/(-16))?
8
Suppose 0 = 4*k, 4*q - 2*q - k - 4 = 0. Suppose 6*p + 12 = 9*p - 3*j, 14 = 5*p - 3*j. Calculate the least common multiple of q and p.
2
Let o(c) = 7*c**2 - 2*c - 1. Let s be o(2). Let i be ((-565)/(-282) - 2)/s. Let d = i - -269165/25944. What is the common denominator of d and -83/12?
24
Let p(g) = -1 + 8*g**2 - g**2 + 3 - 2*g. What is the least common multiple of p(1) and 2?
14
Let w be -14*(-4)/14 + -1*76. Calculate the common denominator of 57/22 and 506/(-72) - 54/w.
198
Let m = 159115/238 + -1337/2. Let s = m + 2588/595. Calculate the common denominator of s and -57/5.
5
Suppose -17*v + 176 = -15*v. Calculate the common denominator of (3 - v/32) + (-34)/56 and -173/30.
210
Let k(t) = -t**3 + 10*t**2 + 6*t + 5. Let i(j) = j + 6. Let w be i(4). Let h be k(w). Find the common denominator of h/2 - (0 - -1) and 50/3.
6
Let q = -1778 - -1970. What is the lowest common multiple of 32 and q?
192
Let x(h) = 374*h + 10. Let v be x(-3). Find the common denominator of -3 - -1 - (-71)/(-6) and (0 + -2)*v/192.
12
Suppose -u + 0*c - 2*c - 74 = 0, 4*c + 84 = -u. What is the lowest common multiple of -2 + 24/9 - u/12 and 10?
30
Let v(k) = -36*k - 15. Let q be v(15). Calculate the common denominator of 63/2 and 3/(-25)*q/(-12).
20
Suppose -24*r + 5*r = -76. Calculate the least common multiple of r and 2.
4
Let k be (-47862)/312 - ((-18)/39)/3. Let v be (-385)/3 + (-1)/4. Let i = k - v. Calculate the common denominator of i and 39/10.
30
Suppose 5*o = 9 + 11. Suppose -18 = -7*r - o. What is the smallest common multiple of r and 14?
14
Let i = -17 - -21. Suppose i = 5*h - 56. What is the smallest common multiple of 32 and h?
96
Suppose 0 = -0*u - 4*u - 4*v - 24104, 0 = -3*u - v - 18086. Let y = u + 2393906/397. Let h = y - 23014/1191. Calculate the common denominator of -37/2 and h.
6
Suppose 2*h = -5*t + 35, -5*t - 3*h = 2*h - 20. Calculate the smallest common multiple of t and 144.
144
Suppose 0 = -42*h + 41*h + 8. Suppose 3*x = -15, -g + 2*x = 3*g - 42. Calculate the least common multiple of h and g.
8
Suppose 0 = -14*t + 10*t + 464. What is the smallest common multiple of t and 12?
348
Suppose 18 = 2*t - j, -4*t + 23 = t + 3*j. Let r(u) = -u**2 - 1. Let y be r(-3). What is the least common multiple of (14/4)/(y/(-20)) and t?
7
What is the common denominator of ((-84)/60)/(4/21*339) and 151/12?
6780
Let p = -77 + 81. Suppose 6*v = 9*v - 21. What is the least common multiple of v and p?
28
Suppose j - 120 = 5*k, -5*j + 5*k + 301 + 339 = 0. What is the common denominator of (j/125 + 0)/(12/15) and 45/22?
110
What is the least common multiple of -2 - -5 - (-33)/(-1 - -2) and 54?
108
Let m = -1182 - -1184. Calculate the lowest common multiple of 618 and m.
618
Let a(v) = -10*v - 4. What is the smallest common multiple of a(-2) and 126?
1008
Calculate the smallest common multiple of (-8100)/(-40)*(-16)/(-24) and 525.
4725
Let w = 1130183053/8452600 + 2/3169725. Let i = -267/2 + w. What is the common denominator of i and -25/9?
72
Let r be (294/9)/(1/12). Let k = -716 + r. Calculate the common denominator of 1/4 + k/(-32) and 79/2.
8
Let f = 112 - 169. Let j = -54 - f. What is the least common multiple of 1 and j?
3
Suppose 0 = -2*s + 10, -3*s = -m + 5*m - 51. Suppose m*h - 89 + 26 = 0. Calculate the lowest common multiple of h and 9.
63
Let q(d) = -7*d + 20. Let t(w) = 11*w - 30. Let o(z) = 8*q(z) + 5*t(z). Calculate the least common multiple of o(-2) and 8.
24
Let j = 2638447435/2354890936 - -3/2700563. Let k = j + 1/218. What is the common denominator of k and -101/2?
8
Let w be -5 + (-4 - 71403/(-4165)). Let q = 3/4165 - w. Calculate the common denominator of q and 83/18.
126
Let w = -575 - -828. Calculate the smallest common multiple of 253 and w.
253
Let s(o) = o**3 - 8*o**2 - 13*o + 29. Calculate the smallest common multiple of s(10) and 18.
198
Let y(v) = -2*v + 7*v**3 + v**2 - 2*v**2 + 2 + v. Let n = 19 - 17. Calculate the smallest common multiple of n and y(1).
14
Let q be -2*(-3)/18 - (-4892)/(-14658). Let u = q - -78181/12215. Find the common denominator of -5/4 and u.
20
Let k be 0 + 2/(-1)*-2. Suppose -k*g + 55 = g + 5*r, 5*r + 25 = 3*g. Let o(f) = f**3 - 10*f**2 - 3*f + 4. Find the common denominator of o(g) and 107/10.
10
What is the least common multiple of 147/7 + (-11 - 0) and 969?
9690
Let t = 10 + -10. What is the common denominator of 59/5 + 2/(-4)*2 and -1 + 232/(-36) + t?
45
Let g = -13 - -14. What is the common denominator of -85/8 and -1*(186/(-4) - g)?
8
Let p = -52 - -74. Suppose 5*z = -5*u + 5, 0 = -z + 3*z + 4*u + 4. Calculate the smallest common multiple of -5*1/(-2)*z and p.
110
Suppose r + i + 2*i - 2 = 0, -r - 2*i = -4. Let h = 615 + -603. What is the least common multiple of r and h?
24
Let p = 228 + -227. What is the least common multiple of p and 33?
33
What is the least common multiple of ((-198)/(-30) - 7)*-695 and 10?
1390
Let l be 4 - (-2 + 32 + 0). Let f = -3/10 + 2/15. What is the common denominator of f and l/3 - (42 + -40)?
6
Let a be 1/3 - (-562)/(-192). Let w = a - 815/352. Calculate the common denominator of w and (5 - (4 - 3))*(-2)/3.
33
Let x be (12/14)/((-3)/21). Let g(k) = -k - 6. Let y be g(x). Suppose y*i = 2*i - 12. What is the least common multiple of 8 and i?
24
Let d(k) = 6*k - 5. Let q(t) = t**3 - 4*t**2 + t - 2. Let g be (1 - 4)*(-16)/12. Calculate the least common multiple of q(g) and d(1).
2
Suppose -12 = 4*z + 20. Let j = 10 + z. Suppose -2*f - 12 = -2*a + f, f + 11 = 3*a. Calculate the least common multiple of j and a.
6
Let s be (-1 + 0)/((-6)/(-24)). Find the common denominator of -4 - s/144 - -5 and -91/40.
360
Calculate the lowest common multiple of 35 and 280/(-30)*24/(-16).
70
Let b = 22 + -19. Find the common denominator of 17/18 and (-246)/(-112)*(-2)/b.
252
Calculate the least common multiple of 22 and 20 - ((-12)/(-8) - 20/(-8)).
176
Let a be (-1)/(9/39)*-3. Let f = a + -10. Suppose -f*b = -j - b + 22, 4*j = b + 67. What is the least common multiple of j and 12?
48
Let i = -29319 + 2257623/77. Calculate the common denominator of 127/140 and i.
1540
Let y = 887 + -886. Calculate the lowest common multiple of 207 and y.
207
Let d = 99077/30 + -6617/2. Calculate the common denominator of d and -89/6.
30
Let z = 0 - 1. Let c be ((-66)/(-12))/(z/(-2)). Suppose -c = -n - 7. Calculate the smallest common multiple of n and 22.
44
Let q = 1029 - 6115/6. Find the common denominator of 4/2*(-134)/152 and q.
114
Suppose -2*a - 640 = 2*a - 3*o, -4*a - 5*o = 640. Calculate the common denominator of (-12)/(-45)*a/6 and 19/4.
36
Let u(h) = 2*h**3 - h**3 - 26*h**2 - h + 38*h**2. Suppose 3*j + 0 = 12. Calculate the least common multiple of j and u(-12).
12
Suppose 0 = 2*b - 19 + 5. Let p(n) = -n + 8. Let h be p(b). Suppose 13 = 3*w + h. What is the smallest common multiple of 16 and w?
16
What is the common denominator of (17/(-918))/(6/8) and 14/9?
81
What is the smallest common multiple of -6 - (-111 - 63/9) and 8?
112
Let d = 100946/45 - 2244. What is the common denominator of d and -91/36?
180
Let n = 31 + -28. Suppose -n*i - 4*j + 99 = -j, 3*j - 69 = -2*i. Calculate the smallest common multiple of i and 18.
90
Let o be 8302/(-16)*((-40)/(-28) + -1). Let r = o - -235. Calculate the common denominator of r and 83/8.
8
Let q(o) = 6*o**2 + 42*o - 9. Calculate the smallest common multiple of q(-8) and 5.
195
Let x = 144535/18 + -8022. Calculate the common denominator of 31/33 and x.
198
Suppose -3*f = -j + 30, 3*j - 3*f = j + 60. Suppose 17 = -3*u - 352. Calculate the common denominator of -7/2 and (4 + u/j)*-71.
10
Calculate the lowest common multiple of 4 and 136/(-4 + 2)*(1 + -3).
136
Calculate the least common multiple of 34 and ((-36)/(-8))/((-51)/(-34)).
102
Suppose 100 = 4*m + 4*t, 3*m - 97 = -4*t - 25. What is the lowest common multiple of 36 and m?
252
Let b = 1/15474 - 43415/28369. Calculate the common denominator of -131/24 and b.
264
Suppose -2*b = -5*s - 6*b + 51, 4*s - 3*b - 16 = 0. Let i = 0 + 8. What is the least common multiple of i and (s/(-14))/(2/(-24))?
24
Suppose -6 = -27*j + 24*j. What is the least common multiple of 33 and j?
66
Suppose -74 = 6*y - 8*y. Suppose 127 = 9*o + y. Let j(f) = -f**2 - 3*f + 2. What is the lea