 the common denominator of ((-18)/a)/((-18)/(-194)) and -5 + 4 - (-1 - 134/(-144)).
72
Let u = -293/2594 + 1745749/15719640. Find the common denominator of 57/14 and u.
84840
Let b = 25489 - 356869/14. What is the common denominator of b and 53/2330?
16310
Suppose 5*a - 259 - 851 = 0. Let l = 3303 - 3298. What is the smallest common multiple of a and l?
1110
Let z = 26 - 32. Suppose 3*y = -2*y + 25. Calculate the least common multiple of ((-6)/10)/(z/30) and y.
15
Suppose -3*x + 33 = 4*t, 28*t + 2*x - 2 = 27*t. Let v(i) = 30*i + 4. Calculate the least common multiple of v(3) and t.
564
Suppose -4*k = 2*p - 24, -166*p + 3*k + 3 = -164*p. What is the smallest common multiple of p and 702?
702
Let h(d) = 3*d**3 - 179*d**2 + 79*d - 69. What is the smallest common multiple of 8 and h(60)?
66168
Suppose -3*f - 2 = -32. Suppose 0 = -f*n + 41 + 79. Calculate the least common multiple of 84 and n.
84
Suppose -2*i + 32 = -t + 28, -6 = -2*i + 2*t. Let d be -28*1 - 2 - -2. What is the lowest common multiple of (364/d)/(i/(-4)) and 6?
156
Let d = -33216 + 1461431/44. What is the common denominator of (-14 + 1573/117)*183/(-20) and d?
132
Let n(g) = -g**2 - 5*g + 13. Let m be n(3). Let o = 217/18 + m. Let s = o + 313/36. What is the common denominator of -73/28 and s?
28
Let t(v) = v**3 - 19*v**2 - 20*v + 21. Let d be t(20). Suppose -13*h + 8 - d = 0. Calculate the common denominator of -50/39 and ((-26)/(-12))/h - (-5 + 1).
78
Let p(i) = -1743*i - 17. Let w be p(-4). Let f = 306051/44 - w. Find the common denominator of f and -151/12.
132
Let a(z) = z + 15. Suppose 0 = -8*b - 17 - 7. Let u be a(b). Find the common denominator of -13/12 and (-8)/u - -14*44/(-144).
36
Let m = -213006 + 77960059/366. Find the common denominator of 149/12 and m.
732
Let j = 2473/16 + -625/4. Find the common denominator of 2 + -2 - 104/(-6) and j.
48
Let j(w) = 3*w - 52. Let c be j(14). Calculate the least common multiple of (8/(-16) - 0)/(1/c) and 20.
20
Let r = 4654643/80 + -58184. What is the common denominator of r and (-1)/4 - (-94)/(-32)?
80
Let u = -6639 - -8463. What is the least common multiple of 480 and u?
9120
What is the common denominator of (8/(320*-1))/((-4)/(-330))*1 and 71/164?
656
Let q = 12575418832/1998495 + -8/222055. Suppose n - 31434 = 5*r + 4*n, -4*n = 12. Let d = r + q. What is the common denominator of d and -61/9?
9
Let x(v) = -2*v - 18. Let o be x(-13). Let t be (-2)/o*(-2)/771. Let d = -15802/5397 - t. What is the common denominator of 69/14 and d?
14
Let h = -54 - -6. Let c = -45487/30 - -6075/4. Calculate the common denominator of (-2 - (-75)/h) + 3/12 and c.
240
What is the smallest common multiple of 10 and (-1)/(-3) - (-12306)/378*12?
3910
Suppose 16*a - 15*a - 2 = 0. Suppose -a*b + 8207 - 1777 = 0. Let x = b + -83527/26. What is the common denominator of 117/20 and x?
260
Let h = -219 - -172. Find the common denominator of (-54)/(-3)*15/9 and (h/(-2) + -1)*(-2)/(-110).
22
Let y = -3497 + 21065/6. Calculate the common denominator of -103/6 and y.
6
Let y be (-13)/(-13) + (23 - 2). Let u = 30 - y. Suppose -32*z = -31*z - u. What is the smallest common multiple of 18 and z?
72
Let m = 4846 - 1286. Calculate the smallest common multiple of (2 - (-16)/(-9)) + m/180 and 40.
40
Let t = 9717 - 9716. What is the common denominator of t and -77/214?
214
Calculate the least common multiple of 9 and (-43968)/(-15) + -1 + -4 + (-96)/(-20).
8793
Let t = 47309 + -2081699/44. Find the common denominator of t and -4/3817.
15268
Let r be (-8)/(-10)*(-2550)/68. Let j be 3/(-18) + 355/r. Let s(d) = -d**3 - 13*d**2 - 15*d - 32. What is the smallest common multiple of s(j) and 32?
32
Calculate the common denominator of ((-6)/(-154))/(120/(-1797)) + (-4)/(-14) and -161/264.
1320
Suppose i = 4*r - 193, 39 - 235 = -4*r + 4*i. Let v = -14470 + 14494. What is the least common multiple of v and r?
48
Let k = -87186/29 - -3007. Let u = 6/17 - 853/153. Calculate the common denominator of k and u.
261
Calculate the common denominator of 19/68 and ((-54)/(-5904))/((234/(-176))/((-12)/16)).
36244
Let c be (2 + 0/2)*(-450 + 194). Let b = 544 + c. What is the least common multiple of b and 40?
160
Let c = 26 - -142. What is the least common multiple of c and 77?
1848
Let d(m) = 4*m**2 - 2*m. Let f be d(1). Let a(p) = f + 21*p + 1 - 22*p + 25. Calculate the least common multiple of a(25) and 45.
45
Suppose 0 = q + 3*t - 32, 2*q + t = -t + 64. Let x(a) = -271 - 15*a + 51*a + 70 - 187. What is the least common multiple of x(11) and q?
32
Let l(t) = -24*t**2 + 4*t + 3. Let a be l(-1). Calculate the smallest common multiple of 30/(-1 - 5) - a and 1 - (2 - 0) - -5.
20
Let t = 74/219 - 8929/21024. What is the common denominator of t and 39/32?
288
Suppose -4*d = 11*d + 1020. Find the common denominator of 31/11 and d/(-10) - (-165)/33.
55
Let f = -9381/1826 - -68/83. What is the common denominator of f and -133/768?
8448
Let z = 1470 + -253. Suppose 12*h = z + 319. What is the lowest common multiple of 3 and h?
384
Let n = 1561085 + -158158204607/101313. Let t = n - 3005591/1418382. Find the common denominator of t and -169/90.
630
Calculate the common denominator of (-6283)/(-2112) + (20 - (-391)/(-17)) and -53/1728.
19008
Let o be 20/24*14971/(-253). Let l = 148/3 + o. Find the common denominator of l and 65/22.
506
Suppose 5*y - z = 444, -2*z + 30 = -2*y + 214. What is the common denominator of 5 - 84/16 - (-182)/y and 47/(-3)*(4 + 116/(-32))?
88
Let w = -88622 - -40145815/453. What is the common denominator of w and -43/9?
1359
Let s(t) = -30*t + 653. What is the least common multiple of 7 and s(-13)?
1043
Let b = 2940356192/12549 - 234310. Let i = b + -118521/16732. Find the common denominator of 25/12 and i.
12
Let d be -3*(6/(-21) + (-520)/42). Let w = -17 + d. Find the common denominator of 886/60 - (w/(-15) + 1) and -49/2.
6
Let p = 42969/35 + -1809093/1295. Let j = 528367/148 + p. Let h = 3426 - j. Find the common denominator of h and -51/10.
20
Let p be 5*-3*(-6)/(-5). Let a = p + 24. What is the least common multiple of a and 2*1*11/2?
66
Suppose 170*y = -159*y + 1302840. Calculate the smallest common multiple of y and 240.
7920
Let y be (2497/3)/(3/237). Let c = 64646 - y. Let v = 1093 + c. Find the common denominator of v and -75/2.
6
What is the common denominator of 29/36 and (-9516)/437553*(-18)/(-32)?
28692
Let y(x) = x**3 + 6*x**2 - 5. Let l be y(-6). Suppose -2*b = 9*b - 44. What is the least common multiple of (-53)/l + 6*(-5)/50 and b?
20
Calculate the lowest common multiple of 6 and 4697/427*12/3*(-1)/(-2).
66
What is the common denominator of (-328)/26*((-131)/(-132) - 1) and 42/65?
2145
Suppose 4*v - 49 + 891 = 3*p, -3*v + p - 634 = 0. Calculate the common denominator of 0 + (-7)/420*v and -1/15.
15
Let j = -4135785/44858 + 1014/11. What is the common denominator of j and 91/4?
8156
What is the common denominator of -70/201 and ((-175)/(-10) + -16)*(94/201)/2?
402
Suppose -9*l = -4*l + 135. Let s = l - -27. Let t = s - -6. Calculate the least common multiple of t and 14.
42
Let p = -82131431/280 + 293327. Calculate the common denominator of 53/30 and p.
840
Let f = -114583/646 + 3412/19. What is the common denominator of f and 11/214?
3638
Let s = 615 - 585. Find the common denominator of -51/37 and s/4*32/(-70).
259
Let h = -1899 + 1983. Calculate the lowest common multiple of 156 and h.
1092
Let l(b) = b**3 + 7*b**2 - b - 47. Let j(s) = s**3 - 37*s**2 + 39*s - 113. Let f be j(36). Calculate the least common multiple of l(f) and 48.
48
What is the smallest common multiple of 2096 and 92/9 + 130/(-585)?
10480
Let z be (-6 - -5) + 4207038626849/(-4596). Let p = z - -915369584. Let h = p - -3/766. What is the common denominator of -40/9 and h?
36
Calculate the common denominator of (-366)/12*(10/(-16))/(-5) and ((-76)/232)/(2 + (-11)/5).
464
Let m = 319 + -334. What is the common denominator of ((-111)/(-4))/(33/2) and (-9)/m - (-405)/3450?
506
Suppose -2 = -f + 16. Let v = 313 - 296. Let l(n) = n**2 - 9*n - 80. Calculate the smallest common multiple of f and l(v).
504
Calculate the lowest common multiple of 1976 and (21/(-882)*14)/((-2)/(-1248)*-2).
1976
Let m(b) be the first derivative of b**3/3 - b**2 - 6*b + 10. Let d be m(-4). Suppose -3*o = -6*o + d.