y - 4, 3*y + 153 = 5*j. Calculate the smallest common multiple of j and (-100)/(-6)*(-117)/t.
330
Let i(p) = p**3 + 12*p**2 + 22*p + 18. Let j be i(-9). Calculate the smallest common multiple of 14 and 58 + (-45)/j*-7.
126
Let v(r) = 8*r**2. Let o(w) = -10*w - 130. Calculate the least common multiple of v(-1) and o(-21).
80
Let k be 2851/(-2)*-2*(-5)/10. Let l = 1462 + k. What is the common denominator of -63/2 and l?
2
Let r = 484 - 445. Let b = -3 - -6. Calculate the lowest common multiple of r and b.
39
Suppose -5*l = -20, -7*f - 4*l = -4*f - 1408. Suppose 113*n = 142*n - f. Calculate the least common multiple of 20 and n.
80
Let w = -74887213/837 + 89471. Calculate the common denominator of w and -41/930.
8370
Suppose -44 = 3*s + 5*r - 0, 0 = 2*s + r + 34. Find the common denominator of -37/8 and 33/8 - (s - -21).
8
Let x = 10928386650295/7074 + -1544866643. Let n = -476/131 + x. What is the common denominator of -137/54 and n?
54
What is the common denominator of ((-25)/10 - -2)*26/54 and (-34)/(-153)*(-174)/(-8) - 4?
54
Let k(f) = 12*f + 103. Let t be k(-9). Find the common denominator of -79/56 and (-33)/140*18 - t.
280
Let b = -1656/5 + 223117/660. Let s = b + -1/44. Find the common denominator of -25/28 and s.
84
Suppose 0 = 2*v, 4*v - 2 - 6 = 2*q. Let a be -2*2/q + 307625/1050. Let s = -886/3 + a. Calculate the common denominator of s and -113/20.
140
Find the common denominator of (-214280)/(-243264) - 132/154 and -43/5430.
21720
Suppose 616 = -63*z + 59*z + 26*z. Calculate the least common multiple of 2471 and z.
9884
Let j(o) = 212*o - 694. Calculate the least common multiple of j(11) and 420.
16380
What is the common denominator of (-5)/(-4) - (-2211)/(-1668) and -57/20?
2780
Let c(p) = p**3 + 11*p**2 - 8*p + 0 - 2*p**3 - 8 - 5. What is the smallest common multiple of 10 and c(10)?
70
Let q be 3 + -12 + 3 - 0. Find the common denominator of (3/(-9) - -1) + 3526/172 and 165/q*1/(-4).
24
Suppose 4*n + 4*j = 104, 0 = j - 3 - 0. Let a = n - 15. Find the common denominator of 29/18 and 28/(-6)*a/(-96).
18
Let x(u) = 32*u - 268. Let g = -710 + 720. What is the least common multiple of x(g) and 4?
52
Find the common denominator of -121/390 and (4/3)/4 - (18 + (-41643)/2430).
3510
Let x be (-2 - (-2 + 2)) + -18. Let s = 24991/3 + -8333. Calculate the common denominator of ((-182)/(-10))/((-32)/x) and s.
24
Let m = 175 + 421. Suppose -24 = -b - 2*w, 10*b = 9*b + 3*w - 1. What is the smallest common multiple of m and b?
4172
Let o be (7/2 - (-12)/(-24)) + -10. Let x(i) = -i**3 - 6*i**2 - 9*i - 62. Calculate the lowest common multiple of 40 and x(o).
200
Let u = -329 - -588. Suppose -u - 341 = 6*q. Let b = 104 + q. Calculate the smallest common multiple of b and 7.
28
Let c(x) = x**3 - 10*x**2 + 8*x - 13. Let l be c(9). Calculate the common denominator of (-30)/(-8)*l/517 and -137/6.
282
Let a be -11 - -12 - 9703/(-7). Let z = -1390 + a. Find the common denominator of -113/10 and z.
70
Let j(h) = -h**2 - 4*h - 2. Suppose 4*w = 4, 2 = 3*q - 4*w + 3. What is the least common multiple of q and j(-3)?
1
Let a = -2/5095 + 677647/30570. Let m = 113 + -81. Calculate the common denominator of m/15 + 18/45 and a.
30
Suppose 3*s - 1057 = -2*m, 5*s = m + s - 545. Let n = m - 431. Calculate the lowest common multiple of n and 3.
102
Let p = 17/107 + -7409/3531. Let c be (-4 + (-2953)/48)*440/(-13052). Let w = c + -3/6526. What is the common denominator of w and p?
264
Suppose -1141 = 24*v - 1189. What is the least common multiple of 25 and v?
50
Let l(u) = -u**2 + 25*u - 121. Let a be l(18). Suppose -5*n + 32 = -i, a*i - 8*i = n. Calculate the smallest common multiple of n and 506.
1518
Suppose -3*i - 94 - 155 = 5*o, 2*o + 94 = -4*i. Calculate the lowest common multiple of (-6)/o + 98/34 and (56/(-12))/((-16)/(-12) - 2).
21
Suppose 2625*b - 4176 = 2616*b. Calculate the least common multiple of b and 18.
4176
Suppose -7*w - 1021450 = 18*w. Let u = w + 3432113/84. Find the common denominator of u and 4/77.
924
Let c = -217524 - -217537. Let q = 12 - 34. Let l = -11 - q. Calculate the smallest common multiple of c and l.
143
Let o = 100/53 - 911/848. Find the common denominator of o and -29/1910.
15280
Suppose -5*n - 16 + 1 = 0. Let v be ((n + 2)*28)/(-2). Calculate the smallest common multiple of 8 and (78/(-91))/((-3)/v).
8
Let y(a) = 6*a - 12. Let h be y(-10). Suppose -3*f = 3*q - 237, 0 = -0*f - f - 3*q + 73. Let o = h + f. Calculate the smallest common multiple of o and 16.
80
Suppose -2*b - 6 = 2. What is the common denominator of (5/6)/(b/(-8)) and (-24)/52 + (-2860)/(-676)?
39
What is the common denominator of -29/63 and 7 + (-210 - -247)*(-1 + (-124)/(-150))?
1575
Calculate the common denominator of 526/(-770) + (-12)/(-28) and 10/(-5) + 119/50 + 1.
550
Calculate the least common multiple of 20 + -8 - 20 - -14 and (5 - 2) + (35 - 2).
36
Suppose -28*g + 61 = -52 - 195. Suppose -f + 6 = -13. Suppose -4*r + f = g. What is the least common multiple of r and 11?
22
Let u be (182765/150)/11*-233. Let h = -25806 - u. What is the common denominator of 101/72 and h?
360
Let r = -119 + 94. Calculate the common denominator of ((-39750)/288)/r + -1 + -4 and -31/54.
432
Let j = 61 + -62. Let s be 1/j*-2 - -62. Suppose -3*i + x + s = 0, -5*x + 12 = -13. What is the common denominator of i and 83/30?
30
Let r = -295079309/1674 + 176272. What is the common denominator of r and 127/186?
1674
Let z(v) = v**3 + 8*v**2 - 12*v - 5. Let d be z(-7). Let w = -77 + d. Suppose -135 = -4*l - w. What is the least common multiple of l and 15?
105
Calculate the common denominator of 1/(-5)*4160/2688 and 113/196.
588
Let q be 28335795/(-414) - (-45)/(-27). Let m = 68446 + q. Calculate the common denominator of m and 31/27.
1242
Let s = -13 + 26. Suppose 2*y - s - 11 = 0. What is the common denominator of (4/y)/((-1)/129) and -91/10?
10
Let b be (-1)/((-1)/2*(-6)/(-51)). Let k(y) = -y**3 + 18*y**2 - 17*y + 33. What is the smallest common multiple of k(b) and 171?
1881
Calculate the smallest common multiple of (-53772)/(-66) + -4*(-27)/396 and 1793.
8965
Let f = -13260 + 14796. What is the smallest common multiple of 184 and f?
35328
Suppose -x - 78 = x. Let j = 34 + x. Find the common denominator of 585/20 - j/(-20) and 54/5.
5
Let b = -3484 + 3952. Calculate the smallest common multiple of 416 and b.
3744
Let z be ((-3 + 2)*(-3)/1)/1. Suppose -58 = -z*w - 4*s, w = -2*s + 18 - 2. Suppose -5*a + 2*a = -60. Calculate the smallest common multiple of w and a.
260
Let o(q) = 90*q - 5364. Suppose -s = 3*s - 224. Suppose -3*v - 5*x + 15 = -s, -4*x = -v + 52. Calculate the smallest common multiple of o(60) and v.
288
Let m(k) = k**2 - 71*k + 706. Calculate the lowest common multiple of m(60) and (-128)/(-7) + 2/(-7).
414
Suppose 10 = -4*p + 6*p. Suppose 5*b + 9*k - p*k - 72 = 0, 4*b + k = 51. Suppose -7*z = -4*z - 12. What is the lowest common multiple of b and z?
12
Let c = 5838 - 5823. Let s(t) = t**2 - 3*t - 8. Let l be s(5). Let j(h) = h**3 - 3*h**2 + 3*h - 1. What is the smallest common multiple of c and j(l)?
15
Let j(y) = 197*y**2 - 7*y + 12. Let s be j(2). Calculate the common denominator of -2/27 and s/(-8)*20/90.
54
Suppose -67*i - 16080 = -72*i. Let s = i - 35418/11. Find the common denominator of s and 67/42.
462
Suppose -9459 + 3253 = 49*c - 156*c. Calculate the smallest common multiple of 1184 and c.
34336
Let d(t) = t**3 + 11*t**2 + 21*t + 14. Calculate the least common multiple of d(-7) and 12.
252
Let v = 4445 - 4427. What is the smallest common multiple of v and 21 - (-5)/(15/(-9))?
18
Let z(r) = r - 1. Let c(h) = -50*h + 276. Let y(b) = -c(b) - 4*z(b). What is the smallest common multiple of y(6) and 24?
24
Let w = -39/2 - -87/4. Let z = 899/36660 - 11/940. What is the common denominator of z and w?
156
Let b = 22 - 17. Suppose -24 = 4*x, 74*x = 5*a + 73*x - 131. What is the lowest common multiple of b and a?
25
Let v = 4567 - 4517. Calculate the common denominator of -7/398 and v.
398
Suppose -13 + 1 = -2*x. Let l(y) = 67*y - 575. What is the lowest common multiple of x and l(9)?
84
Let w be 4/(-6)*10575/(-30). Let s = w + -135. What is the lowest common multiple of s and 5?
100
Suppose i - 845 = -3*o, -4*o = -o - i - 853. Let f = -170 + o. Let z = -99 + f. Cal