lculate the least common multiple of d and 206/10 - (12/(-30) - 0).
231
Let p(m) = m**3 + 37*m**2 + 36*m + 3. Let q be p(-36). Calculate the common denominator of 25/4 and q/(-6)*(150/4 - 2).
4
Let c = -51 - -46. Let u(i) = i**3 + 8*i**2 + 13*i + 4. Let t be u(c). What is the smallest common multiple of t/42 + 58/6 and 16?
80
Suppose 0 = -3*z - 5*k - 52, -3*k = 3*z - 2*z + 24. Let g = z - 12. Calculate the common denominator of 14/3 and (g/(-14))/((-9)/52).
3
Let d = -651 + 5920/9. Calculate the common denominator of 129/(-90)*(-215)/602 and d.
252
Let v = -68 - -87. Let r(c) = c - 16. Let j be r(v). Suppose -3*x + 58 = 4*k, -3*x + 38 = -x + j*k. Calculate the smallest common multiple of x and 2.
22
Let v = 313343372/15 - 20899393. Suppose -5*p + 55761 = 6606. Let u = p + v. What is the common denominator of u and 15/8?
120
Suppose -248 = -5*g + 519 + 278. Calculate the lowest common multiple of g and 285.
3135
Let c(h) = 72*h**2 - 11*h - 5. Let w be c(-7). Suppose -13*v = -19*v - w. Let x = v + 1732/3. What is the common denominator of x and -26/27?
27
Let n(l) = 3*l - 33. Let t be n(12). Calculate the smallest common multiple of 100 and t - -2 - 30/10.
100
Let y = -2045/728 + 20/7. Calculate the common denominator of 53/12 and y.
312
Let j(o) = -o**2 - 7*o + 18. Let l = -19 + 37. Let g be j(l). Find the common denominator of (19/2 - -1)/(g/(-40)) and -45/8.
72
Calculate the lowest common multiple of (9*(-16)/(-60))/((-18)/(-135)) + -6 and 6087.
24348
Suppose -4 = 2*o, 2*m - 4*m - o = 420. Let x = 296 + m. What is the least common multiple of 2 and x?
174
Let v = -48 + 51. Let o be 2 - -2 - (2 - -2 - v). Suppose 0 = k - o - 7. What is the least common multiple of 20 and k?
20
Let h = 84 - 88. What is the smallest common multiple of h/(-26) + (-464)/(-26) and 32?
288
Suppose 0*j + 7*j - 21 = 0. Let l be j/9 + (-11)/(-3). Suppose l*k = -2*x + 6, 2*x = -2*k + 5 + 3. What is the least common multiple of x and 1?
5
Let n(h) = -3*h**2 + 3*h - 2. Let a be n(2). Let u = 10 + a. Suppose 4*g - 7*g + 23 = 5*d, -d + 27 = 2*g. Calculate the least common multiple of u and g.
16
Let i = -4988/19 + 3393189/12920. Calculate the common denominator of -3/85 and i.
680
Suppose u + 2170 = 6*u. What is the smallest common multiple of (-586)/(-14) - (-6)/42 and u/21 + (-4)/6?
420
Calculate the common denominator of -149/870 and (-505)/606*134/10.
870
Find the common denominator of 40/441 and 4327/2695 + (-952)/595.
4851
What is the smallest common multiple of ((-9)/(-72)*-28)/(1/(-2)) and 65?
455
Let u(k) = 33*k**2 + k - 1. Let m = 625 + -949. Let n = m + 336. What is the smallest common multiple of u(1) and n?
132
Let b be 141*3/(-12) + (-5)/(-20). Let w be (-7)/b - 1248/15. Let s = w - -89. Calculate the smallest common multiple of 6 and s.
6
Let c = 2870 - 91829/32. What is the common denominator of c and 10/3825*15*177/(-8)?
544
Let i = -4879529/7 + 698496. Let u = i + -1415. Let m = 19/32 - 459/32. Calculate the common denominator of u and m.
28
Suppose 0*s - 5*s + 5*p = -25, 0 = -5*p - 15. Suppose -19 + 9 = -7*t + 4. Calculate the smallest common multiple of t and s.
2
Find the common denominator of 113/2100 and -63*(-25)/(-20250)*(-4)/((-560)/138).
2100
Suppose 0 = 2*g + 2*f + 27159 - 10345, -12 = -3*f. Let a = g + 50345/6. Calculate the common denominator of -161/60 and a.
60
Let b be (-479248)/132*(-6)/7. Let z(l) = -l**3 + 8*l**2 - 3*l - 4. Let a be z(5). What is the smallest common multiple of 18 and b/a + (-6)/(-14)?
504
Let n = 61761 + -4014359/65. Let o = 2551/687 + 162304/133965. Let r = n + o. Find the common denominator of 45 and r.
9
What is the common denominator of (-4 - 0)*(-265)/40 + 8 and 59/203?
406
Let w(p) = 8*p**2 - 181*p + 686. Calculate the least common multiple of w(4) and 87.
2610
Suppose -6*m + 6 = -3*m. Suppose 0 = -b - 2*r - m, 2*r + 9 = -r. Calculate the smallest common multiple of (-2)/b*-16*1 and 20.
40
Suppose 0 = l - 2*l + 10. Let r = -12 - 24. Calculate the smallest common multiple of l and r/(-48)*(-8)/(-6).
10
Suppose -17 = -m + 7*n - 2*n, 3*m + 4*n = -44. Find the common denominator of 37/2 and 205/(-41) + (-17)/m.
8
Suppose 4*p - 3*q - 65 - 124 = 0, -5*p = 2*q - 242. What is the smallest common multiple of p and (-8)/6 + 560/15?
144
Let o(d) = 21*d**2 + d - 1. Let a be o(1). Let v be ((-6)/(-8))/(a/(-49035)). Let w = v - -1741. Find the common denominator of w and 54/5.
20
Let t(k) = 2*k**3 + 8*k**2 + 5*k + 29. Let d be t(-5). Let h(i) = -11*i + 3. Let n be h(-4). Let p = d + n. What is the least common multiple of 3 and p?
3
Let z = -171 + 175. What is the smallest common multiple of (-14)/(((-1)/(-14))/(z/(-16))) and 28?
196
What is the common denominator of 31/8 and 0 + (-1257)/(-144) + 166 + -175?
48
Suppose 4*h + 5*r = 5285, -h + 3*r = -850 - 467. What is the lowest common multiple of 1320 and h?
1320
Let t = 28040 - 7570661/270. Find the common denominator of t and 181/420.
3780
Calculate the lowest common multiple of (-520)/12*16/(-30)*18/8 and (9/(-2))/((-2)/4).
468
Let j be (-480)/115 - ((-12)/4 + 0). Let w = 303747 + -62875823/207. Let q = j + w. Calculate the common denominator of -43/6 and q.
18
Let u(k) = -k**3 + 4*k**2 + 9*k - 16. Let f be u(4). Suppose -m + 14 = -5*m + g, -4*m - f = -4*g. Calculate the common denominator of 306/63 + m*1 and -43/7.
7
Let t(n) = n**3 - 19*n**2 + 22*n - 52. Calculate the least common multiple of 6 + (-399)/(-9) - (-2)/(-6) and t(18).
100
Suppose -69*z = 93*z - 1552 + 256. What is the least common multiple of z and 444?
888
Let k = -8774 - -52697/6. Calculate the common denominator of k and 59/21628.
64884
What is the least common multiple of 168 and (1 + (-1 - -14))/(((-1107)/162)/(-41))?
168
Let w(r) = 220*r**2 + r - 3. Let t be w(-2). Suppose -t = 5*y - 12*y. What is the common denominator of 1/12 and (585/y)/(1 + 1)?
300
Let a = 885/8 + -60929/552. Let r = 20886 - 250769/12. Find the common denominator of a and r.
276
Let k(t) = -7*t - 7. Let p be k(2). Calculate the common denominator of 145/102 and (1/8)/(p/2492).
102
Let r be -2 - (42/49 + (-1)/(-7)). Find the common denominator of -1/12 and (4 - (r - -6)) + 53/(-60).
60
Suppose 4*t - 1953 = -3*d, -35*t + 2421 = -30*t + 6*d. What is the lowest common multiple of 477 and t?
26235
Let l(h) = -2*h**2 + 6*h - 3. Let d(j) = 4*j**2. Let m be d(-1). Let z be l(m). Calculate the common denominator of -157/30 and 2/z + 5958/1188.
30
Let l = -4/192539601 - -12773098523653/1155237606. Let n = l + -11057. What is the common denominator of n and 163/90?
270
Let m(t) = -7*t + 124. Let c be m(-4). Suppose 0 = -u + 4*z + 14 + 24, 0 = -4*u - 4*z + c. Calculate the smallest common multiple of 38 and u.
38
Let u = 58/1845 - -8499799/3690. Let x = u + -2347. Find the common denominator of x and 10/61.
122
Let o(q) = -296*q + 2090. Calculate the lowest common multiple of o(7) and (-9)/6*(-4)/6.
18
Let b = -41 - -68. Suppose -75 = -13*d + 133. Suppose a + 89 = 5*f + d, -4*a + 8 = 0. Calculate the lowest common multiple of f and b.
135
Let b = 456121637/1080 + -422335. Find the common denominator of b and -121/18.
1080
What is the lowest common multiple of 3 + 2841 + (3588/(-585) - (-2)/15) and 516?
5676
Let n = -148 - -154. Calculate the common denominator of 7/24 and n/(-15) + (-370)/(-120).
120
Let h(a) = -a**2 - 14*a - 9. Calculate the least common multiple of ((-95)/10 + 9)/((-7)/1288) and h(-9).
828
Let u(q) be the second derivative of -q**5/20 - q**3/2 - q**2 + 5*q. Calculate the lowest common multiple of 21 and u(-2).
84
Let p = 32 - 29. What is the least common multiple of 4/5*(-25)/(-30)*p and 12?
12
Let b be ((-1)/(-2))/(4/32*4). Calculate the common denominator of -91/72 and (-1239)/126 + (b - -5).
72
Let h = -517/315 + 14/9. Let j = 6072/17 + -120981/340. Calculate the common denominator of h and j.
140
Suppose 3*l + 565 = 5*d, -d + 5*d - 5*l - 439 = 0. Calculate the lowest common multiple of d and 8.
232
Let g = 39 - 25. Let d(r) = -11*r - 47. Let n be d(-13). Suppose -3*v - 4*t = t - n, 4*t = v - 32. Calculate the lowest common multiple of v and g.
224
Suppose -7*o + 6*o = -6. Let j(m) = m**3 - 8*m**2 + 6*m + 15. Suppose 0 = -14*s + 98. Calculate the least common multiple of o and j(s).
24
Let r = -7629/16 + 477. What is th