 = 1/61123 + -5928973/2567166. What is the common denominator of p and 65/204?
1428
Find the common denominator of 9/3680 and (-9)/4*(-25)/67200*-28.
14720
Let a(o) = -o**3 - 5*o**2 - 8*o - 2. Let f be a(-7). What is the common denominator of 95/12 and 32/304 - (-1770)/f?
12
Find the common denominator of 13/7 and 1/(-4) + ((-28)/(-112) - (-108)/1946).
973
Let l be (-30)/12*(-12)/10. Suppose 2*t + 3 = 19. Calculate the common denominator of 102/(-9)*2/(t/l) and -19/8.
8
Let w = -39371/120 + 655/2. What is the common denominator of -103/180 and w?
360
Let i(t) = t**3 + 65*t**2 + 142*t + 1680. Calculate the lowest common multiple of i(-63) and 896.
2688
Let d = -3124 - -4760. What is the least common multiple of d and 12?
4908
What is the lowest common multiple of -134*(5 - (21 + -8)) and 42?
22512
Suppose 0 = 2*m + 5*n - 146, 0 = 5*m - n - 16 - 349. What is the least common multiple of m and 4?
292
Let d = 1773 + -1739. What is the lowest common multiple of d and 74?
1258
Let b = -4955 + -2657. Let x = b - -12194423/1602. Let g = x - -8945/801. Find the common denominator of g and -4/3.
6
Let s = -40 - -45. Suppose 2*a + s*b + 182 = 2*b, -370 = 4*a + 3*b. What is the common denominator of (-21 + 1)*(1 + a/64) and -47/5?
40
Calculate the common denominator of (-2034)/791 - (-5822)/3108 and 35/248.
27528
Let d(w) = -w**3 - 7*w**2 - 51*w - 257. Calculate the least common multiple of d(-7) and 30.
300
Let g = -341917/1246 + 3849/14. Find the common denominator of g and -17/79.
7031
Let y(b) be the first derivative of -b**3/3 + b**2/2 + 6*b - 17. Let w be y(0). Find the common denominator of (-41)/(-15)*(-27)/w and -117/10.
10
Let n = 35440 - 35420. Let u(m) = 2*m**2 - 6*m - 6. Suppose 5*t + 3 - 28 = 0. Calculate the lowest common multiple of u(t) and n.
140
What is the common denominator of 10811/(-3724) + 6 + -8 + (-1 - -6) and -155/588?
588
Suppose -m + 112 = j, 0 = 43*m - 44*m + j + 126. Calculate the lowest common multiple of 2618 and m.
2618
Suppose -142*y + 3009 = -140*y + 3*n, -5*y + 7626 = -4*n. Calculate the lowest common multiple of 414 and y.
4554
Let w = -106791 - -83190204/779. Calculate the common denominator of -27/5 and w.
3895
Suppose -8*a = -33*a + 3671 + 16104. Calculate the lowest common multiple of a and 226.
1582
Suppose 5*b - 300 = -5*s, 364*s - 359*s = b - 48. Calculate the least common multiple of b and 22.
638
Let p = -9115 + 10490. What is the lowest common multiple of 50 and p?
2750
Suppose -33*v + 29*v + 104 = 0. Suppose v*j + 472 = 30*j. Suppose 6*u - 108 = -0*u. What is the smallest common multiple of j and u?
1062
Let p(r) = -r**3 - 22*r**2 + 20*r - 65. Let j be p(-23). Suppose 74 = -3*s + j*t - 63, 4 = -4*t. Calculate the common denominator of s and -28/33.
33
Suppose 43*x - 612 = 25*x. Calculate the least common multiple of x and 34.
34
Find the common denominator of (1/35)/(((-45)/(-75))/(-1)) and 41/402.
2814
Suppose t - 3*a = -576, -9*t = -7*t + a + 1131. Let m = t + 652. What is the smallest common multiple of m and 135?
2295
Let o = 699065735/1404 + -497910. Find the common denominator of -46/39 and o.
1404
Suppose -939*o + 858*o = -972. Suppose -2*x + 3*r = -2*r - 8, -x + 4 = 3*r. Suppose 0*k + x*k = 24. What is the least common multiple of o and k?
12
What is the common denominator of ((-126)/2233)/((-60)/9*6/(-15)) and 55/696?
7656
Let m = -1938 - -2040. What is the smallest common multiple of m and 1326?
1326
Let n = 64 - 49. Suppose -4*f = a + 15, 4*a + 5*f + n = 2*a. Suppose -7*z - a + 117 = 0. Calculate the smallest common multiple of 12 and z.
48
Let q = -27560 - -4630183/168. Find the common denominator of q and 31/336.
336
Let o(p) = 54 - 4*p**2 - p - 103 + 5*p**2 + p**3 - 4*p**3 + 45. Calculate the smallest common multiple of 104 and o(-2).
104
Let s(a) = a**3 - 3*a**2 - 10*a + 12. Let m be s(6). Calculate the common denominator of (-185)/777*128/(-10) and 351/m*20/(-24).
168
Let i(g) = g**3 + 11*g**2 - 2*g - 10. Let w(f) = -f - 20. Suppose -37*s + 40*s + 27 = 0. Let r be w(s). What is the lowest common multiple of 24 and i(r)?
24
Let r be (-100)/(-25) - (-30623)/(-7673). Let i = 1540919/6675510 - r. Find the common denominator of -101/22 and i.
9570
Let q = -9 - -27. Calculate the least common multiple of q and (-1172)/((-3)/2 - -1).
21096
Calculate the smallest common multiple of 130 + (-12)/(-22)*1958/267 and 20.
1340
Let i be (30/(-18))/(69/45). Let t = -961/736 - i. What is the common denominator of 39/44 and t?
352
Suppose 192797 - 48985 = 170*g - 13*g. Calculate the least common multiple of 2061 and g.
8244
Suppose -134*q + 132*q = 34574. Let x = q + 1400275/81. Find the common denominator of x and 127/30.
810
Let c be (-2729640)/(-800928) + (-12)/3. Let a = -74/103 - c. Calculate the common denominator of a and 35/18.
324
Suppose -85 - 12 = -w. Let q(n) = -20*n**2 + 180*n + 10. What is the smallest common multiple of q(9) and w?
970
Let f be (2 - -2)/(39/(-42) + 1). Suppose -6*c = 2*c - f. Suppose 0 = 2*w - c + 3. What is the least common multiple of w and 1?
2
Let q be ((-9828)/(-8))/((-6)/(-7)). Let i be (4344/(-9) - -1)*(2 + 1). Let a = i + q. Calculate the common denominator of a and 41/10.
20
Let h = 94672915 - 1893007317/20. Let r = -22554 + h. Calculate the common denominator of r and 1/2*64/(-208) - (-1401)/(-780).
20
Let u(w) = 5*w**2 - 7*w + 17. Let g be u(8). Calculate the common denominator of -2/19 and 15/165 - g/(-418).
38
Let a be ((-4)/(-2))/(40/17188) + -1. Let d = 850 - a. Find the common denominator of -103/76 and d.
380
Let s = 170 + -30. Suppose 0 = -4*z + 24 + s. Let x = -39 + z. What is the lowest common multiple of 10 and x?
10
Let m(x) = x**2 - 3*x - 2. Let s be m(-1). Suppose 4*f - 20 = 4*k, 6 = -s*k - 4. Suppose f = 20*a - 5*a - 225. What is the least common multiple of 60 and a?
60
Calculate the lowest common multiple of 3/(30/(-4)) - 744*20/(-200) and 7.
518
What is the smallest common multiple of 5 and (-25)/(1700/(-4539))*(-160)/(-6)?
1780
Suppose -2*y = 10, -2*y = -c - 5*y + 3. Let d be ((-4)/(-9))/(4/18). Suppose -3*s = -d*s - 5, 14 = 4*n - 2*s. Calculate the smallest common multiple of c and n.
18
Suppose -5*q + 4928 = -2*r, q + 10*r - 9*r = 980. What is the lowest common multiple of q and 60?
4920
Suppose -k = -4*k + 198. Let v = -2419 - -2431. Calculate the smallest common multiple of k and v.
132
Let f = -27418 - -32671. Calculate the smallest common multiple of f and 18.
31518
Let w = 19857/8 + -2488. Let j = -311/504 + 40237/168. Let d = j - 21077/90. What is the common denominator of w and d?
40
Let y(h) = -2*h**2 + 13*h + 15. Let x be y(12). Suppose -9*g = -3*g - 60. What is the least common multiple of (x/(-45))/((-2)/(-10)) and g?
130
Suppose -5*i = 2*h - 56, 0 = -4*i - 6*h + 3*h + 42. Let f(c) = 2*c**2 - 17*c + 38. Let o be f(4). Calculate the common denominator of (-133)/i - o*-2 and 34/9.
36
Suppose 0 = 11*j - 13*j - 6. Calculate the common denominator of -404*3/(-120) + j and 49/17.
170
Let z = 46 - 19. Suppose -2*o - 5*h = -25, 3*o - 4*h - z = -8*h. Suppose -l = o*r - 35, 5*r - 23 - 2 = 0. Calculate the lowest common multiple of 18 and l.
90
Let l be 7/14 - (-67022)/(-10). Let a = l - -6690. Calculate the common denominator of a and 4437/702 - 2/13.
30
Let h = -216 + 231. Let j(a) = -a**3 + 46*a**2 - 43*a + 18. What is the lowest common multiple of h and j(45)?
540
Let l be (5 + 1)*1*3. Suppose 0 = y - 4*d + l, -3*y - y - 156 = 5*d. What is the common denominator of -29/4 and 45/(-18) + y/1?
4
Let d(j) = -j**3 - 5*j**2 + 10*j + 9. Let x be d(-5). What is the common denominator of x/(-15) + (11 - 18) and 61/15?
15
Let w be 12555/(-248)*((-2)/3)/((-6)/(-18)). Let u = 65989/708 + -489/59. Let j = w - u. What is the common denominator of j and -83/54?
54
Suppose -14254*o = -5*m - 14255*o + 55, m + o = 7. Let k(g) = -g**2 + 11*g - 4. What is the least common multiple of k(8) and m?
60
Let q = -62113 - -82361911/1326. What is the common denominator of q and 73/102?
1326
Suppose -11*j = -j - 340. Let o = 1585677/801458 - 4/17423. Calculate the common denominator of j/(-10)*(-25)/(-110) + 3 and o.
506
Let h(j) = 22*j**2 + 64*j + 570. Calculate the least common multiple of h(-9) and 14.
12432
Let z = 347261551/102 + -3404553. Let h = 354/17 + z. Wh