0
What is the common denominator of -75/272 and (-398)/136 + 54/(-216)?
272
Let u = -610/51 + 26899/2040. Calculate the common denominator of (-24)/(-32) - (-7367)/(-8480) and u.
160
Let c = -7920052859/8045768 - 2/1005721. Let k = -980 - c. What is the common denominator of k and ((-24)/8)/((-13)/((-13)/(-10)))?
40
Let q(s) = s**3 + 2*s**2 - 20*s + 17. Suppose 2*r - 15 = -r. Suppose -5*y + 0*y = -r. What is the lowest common multiple of q(3) and y?
2
Let m(r) = -17*r**3 - 10*r**2 - 3*r - 4. Calculate the lowest common multiple of 2950 and m(-1).
8850
Let t be (13168012/(-315))/((-207)/54). Let f = 22714/161 + t. Let k = 11042 - f. Find the common denominator of k and 5/6.
30
Let u = -2135803/238 - -8974. Find the common denominator of u and 22/153.
2142
Suppose 849*o - 443*o + 3705 = 425*o. What is the lowest common multiple of 130 and o?
390
Let y(c) = c**3 + 7*c**2 - 6*c - 35. Let n be y(-7). Let b(q) = -q**3 + 6*q**2 + 9*q - 5. What is the lowest common multiple of b(n) and 2?
18
Let s(w) be the first derivative of -8*w**2 - 74*w + 90. What is the least common multiple of s(-9) and 18?
630
Let o be 68*5/(-40)*-2. Suppose -5*u + o = 3*d, 4*d - 5*u - 17 + 6 = 0. Calculate the lowest common multiple of d and 4.
4
Let g = 1514 - 764. Calculate the common denominator of 28/45 and (-8)/12 + 278/g.
1125
Let w(d) = -d + 39. Let s be w(26). Suppose s*l = 10*l + 96. Calculate the lowest common multiple of l and 16.
32
Suppose p + 4 = -0. Find the common denominator of (-4 - -1)*p/24 and (-60)/40*(-2)/6.
2
Let c = -13/127 + 4547/10922. Let l be 146482/84 - (-1)/1. Let z = 1725 - l. What is the common denominator of c and z?
258
Let n = -13280 + 13286. Calculate the least common multiple of n and 1546.
4638
Calculate the lowest common multiple of (324/(-20))/((-12528)/1040 - -12) and 429.
3861
Suppose -l = -2*i - 1, 0 = 5*i - 0*l + 4*l - 30. Suppose 0 = -4*f - i*q + 126, 48 = 4*f - 2*f - 4*q. Calculate the least common multiple of f and 18.
90
Calculate the common denominator of 7/348 and 3368/(-1120) - 48/(-840).
1740
Let y = -59041576763/4870646580 + -52/4272497. Let q = 652/57 + y. Find the common denominator of -89/30 and q.
60
Suppose 12*f + 10250 = 53*f. What is the least common multiple of f and 10?
250
Let x(n) = 114*n + 122. Let d be x(6). Let p = -614 + d. What is the lowest common multiple of 18 and p?
576
Suppose -7*m = -298 - 164. Let y = 77 - m. Calculate the lowest common multiple of y and 44.
44
Suppose 3 = -11*d + 12*d, -4*s + d = -25. Suppose s*a = 18 + 24. Suppose 0 = -6*h + a + 54. Calculate the smallest common multiple of h and 18.
90
Let d(j) = j + 5. Suppose -3*l + 10 = 5*m - 14, m = 5*l - 40. Let g be (3/(-9))/(l/24). Calculate the smallest common multiple of d(g) and 18.
36
Calculate the smallest common multiple of ((-1660)/15)/(14/(-12) - 8/(-16)) and 20.
1660
Let q = 1/9478 + -274881/180082. Let j = 64/95 - q. Calculate the common denominator of j and -109/20.
20
Let v be (-27)/81*1*-6. Suppose -4*t - 87 = -3*n - 3*t, 47 = v*n + 3*t. Calculate the smallest common multiple of n and 28.
28
Suppose -4*a = -2*v, -15*a = -v - 18*a + 35. Calculate the lowest common multiple of 3100 and v.
21700
Suppose 10*n + 255 - 531 - 494 = 0. Calculate the lowest common multiple of 63 and n.
693
Let x be ((-64)/(-171792))/(4/6). Let b = 192053/35790 + x. Find the common denominator of b and -79/15.
30
Let a be (-84)/294 + (-690)/(-14). Find the common denominator of (-21)/a*(18/(-10))/(-1) and -7/200.
1400
Let s = -10765159581/1589584 - 3/397396. Let r = -22397627/3312 - s. Let v = 150/23 - r. Calculate the common denominator of 27/8 and v.
72
Let b(i) = 2*i**2 + 13*i - 15. Let w be b(15). Calculate the common denominator of -4/45 and ((-3108)/w)/(27/(-5)).
405
Suppose 4*a + 33*q = 35*q + 3130, -3917 = -5*a + 4*q. Calculate the least common multiple of a and 4.
3124
Find the common denominator of (-10)/(-45) + (-2170)/(-441) and 17/42.
42
Let q = 1273364/37 + -34415. What is the common denominator of -95/168 and q?
6216
Calculate the lowest common multiple of (-10)/1*-1 + -1 and (11/3)/(133/399).
99
Let n be (-35)/(-15) - (-1)/(-3). Let f(c) = -39*c**2 - 4*c - 34. Let o be f(5). Calculate the common denominator of 39/11 and (n/(-33))/(14/o).
11
Let a(g) = -g**2 - 11*g - 8. Let u(n) = n**2 - 10*n + 21. Let f be u(5). Let l = f + 32. Calculate the least common multiple of l and a(-5).
308
Let i = 34 + 16. Suppose 0 = -3*z - 2*w + 185, -4*w = z - w - i. Suppose -u + 26 = 5*j, 5*u - 43 = -85*j + 89*j. What is the lowest common multiple of u and z?
715
Let m = 35730498899/5777064 + 5/641896. Let i = -24729/4 + m. Find the common denominator of 7/(-12)*(-247)/39 and i.
36
Let b = 39844/15 - 2653. Calculate the common denominator of (3542/3289)/(160/44) and b.
780
Let y be 3/(1/2 + 1). Let f be 5/(-2 + 1 + y). Suppose f*l - 34 = 51. What is the least common multiple of l and 1?
17
Let c(l) = l**3 + 40*l**2 - 41*l + 4. Let n be c(-41). Suppose t = k - 167, -737 = -3*k + n*t - 241. Calculate the least common multiple of 12 and k.
516
Let a be 480/180 - (-2)/(-3). Let x(w) = -35*w + 102. Calculate the least common multiple of x(a) and 164.
1312
Calculate the common denominator of 97/780 and (-522)/176 - (-6)/(-10)*(-1160)/174.
17160
Suppose 0 = -4*i + 32322 + 7634. Let w = 23179 - i. Let d = -132017/10 + w. Find the common denominator of d and 49/32.
160
Let l = -2610 - -2731. What is the lowest common multiple of l and 55?
605
Let t = 14954/9 + -2213579/1332. Find the common denominator of 109/28 and t.
1036
Suppose 12*p = 8*p - 4. Find the common denominator of (-824)/(-112) - 0*(-2)/4 and p/(-172)*-2*-31.
602
Let v = -69467/3 + 22739. Let n = 407 + v. Let r = -2606/3 + 10139/12. What is the common denominator of r and n?
12
Let q(z) = z**2 - 15*z - 559. Calculate the smallest common multiple of q(67) and 125.
14625
Calculate the common denominator of (0 - 1)*(-2)/42 and (-1480)/33300*(-275)/16.
504
Let n = -26 - -46. Suppose -s + 29 = -5*f, -5*f + 8*f = 5*s - 123. What is the smallest common multiple of n and s?
120
Let o = 2529/140 + -221/10. Let q be (-336)/15 - 4/(-10). Calculate the common denominator of o and 3 - 1 - (-49)/q.
308
Suppose 4*m + 5*v = 6*v + 21, 5*m - 5*v - 15 = 0. Suppose 2*j + 4*u + 32 = m*j, -5*j = -3*u - 44. Calculate the smallest common multiple of j and 55.
110
Let i(m) = 2*m**3 - 16*m**2 + 17*m + 14. Suppose -3*h + 140 = -5*s, -h + 260 = 4*h + 5*s. What is the lowest common multiple of i(7) and h?
350
Let r be 12/8 + (-705)/(-10). Suppose -394 + r = -7*o. What is the lowest common multiple of o and 20?
460
Let x = -69230103/7270 + 451/1454. Let y = x - -410123/45. Let u = y - -405. Calculate the common denominator of 51/8 and u.
72
Suppose 0 = -4*d + 3*h + 2*h - 27, -5*h = 2*d - 9. Calculate the least common multiple of 84 and (-6)/(-2) - (0 - d - 15).
420
Let q be 1/(-3) + 1378/(-6). Suppose 0 = 5*r + 5*i + 33 - 73, 5*i + 50 = r. Calculate the common denominator of q/r*45/(-400) and -89/40.
40
Let t = 131 + -124. Suppose 0 = -3*b + 5*j + 116, -3*b = -t*b + 4*j + 160. Calculate the common denominator of 57/10 and ((-1)/3)/1 - 115/b.
70
Let p = 11106 + -11051. What is the smallest common multiple of p and 5?
55
Suppose 50*b - 12*b = 15*b + 345. What is the least common multiple of 462 and b?
2310
Let k be (1 - 0) + (-33026)/70. Let i(p) = -45*p - 28. Let h be i(-11). Let f = h + k. Find the common denominator of f and 149/6.
30
Let w = 19409 - 18485. Calculate the least common multiple of w and 126.
2772
Let s(a) = a**3 - 10*a**2 - a + 19. Let d be s(10). What is the common denominator of 19/81 and (-502)/108 - d*(-1)/3?
162
Suppose 5*h - 4*r + 3*r - 36 = 0, h = -5*r + 2. Calculate the least common multiple of 10 - ((-2)/5 + h/5) and ((-214)/(-10) + -1)/(18/45).
153
Let s = -102167 + 13485973/132. What is the common denominator of 51/64 and s?
2112
Calculate the least common multiple of 6/24*0 + 1 + 79 and 200/(((-12)/9)/(12/(-18))).
400
Let g be (-34777)/(-8) - ((-5)/3 - -2). Let x = g + -4348. What is the common denominator of x and 5/39?
312
Let k be (586/6560)/((-51)/49606). Let a = k - -3601/41. Calculate the common denominator of a and 97/132.
1320
Calculate the common denominator of -13/56 and 1/12*(-8217)/1716.
1