 52/78?
180
Let f be 2 + (-2 - 931/(-4)). Suppose 0 = 819*a - 816*a + 651. Let d = a + f. Find the common denominator of d and 91/20.
20
Let o be (-9 - (0 + 2))*3. Let h be (822/4)/(o/88). Let j = 1663/3 + h. Find the common denominator of -59/9 and j.
9
Suppose -25*s + 2559 + 27702 = 106*s. What is the lowest common multiple of 117 and s?
9009
Suppose 10*c - 16 = 8*c. Let o(f) = -f**3 + 8*f**2 + 8*f - 6. Let g be o(c). What is the least common multiple of g*-2*(-1)/4 - -3 and 36?
288
Suppose -2568 = -5*l - 11*r + 5*r, 0 = -3*l + 4*r + 1518. What is the least common multiple of 10 and l?
510
Let h(i) = i**2 + 14*i + 16. Suppose 0 = r + 13 - 1. Let n be h(r). What is the common denominator of 23 and ((-14)/n)/(-7) + 6/(-52)?
52
Suppose -2*y - 2*y + 72 = 0. Let p = -12 + y. Find the common denominator of 0 + ((-1)/p - (-582)/(-36)) and -47/30.
30
Suppose 3*q = -0*q + 9. What is the common denominator of (-66)/(16*(-2)/6) and (1768/(-28) + q/21)/20?
40
Let a = 314235656/1065 - 295057. Find the common denominator of a and 59/165.
11715
Let z be (-1 + (-2)/(-6))/(12/558). Find the common denominator of 4/6 + 166/(-60) and (94/(-16))/(33 + z).
80
Let d = 10956 - 109663/10. What is the common denominator of 55/306 and d?
1530
Let q be 45/(-90)*(0 - 0). Suppose q = z + 9*z - 280. Calculate the least common multiple of z and 32.
224
Let h = 516/55 - 13549/770. What is the common denominator of h and 83/(-8) + 0/3?
56
Let n be (5*1)/(4 - 3). Suppose -5*i = -4*i - y - 23, 5*y = -n. Calculate the smallest common multiple of 56 - (9 + (-3 - 8)) and i.
638
Suppose 20*t - 15*t = -65. Let j = t + 17. Calculate the common denominator of -20 and (-412)/56 + j + (-9)/6.
7
Let r be (40/(-35))/(4/(-14)). Suppose 41 = 8*i - 5*i + m, r*m - 20 = 0. Calculate the smallest common multiple of 33 and i.
132
Let h(r) = 68*r + 68. What is the lowest common multiple of h(5) and 20?
2040
Let k = -18/10117 - 231503/667722. Let t = 20/139 + -6773/1668. Find the common denominator of k and t.
132
Suppose 322*k - 338 = -16*k. Calculate the least common multiple of k and 10.
10
Let w = -42466179 + 197085540322/4641. Let m = 31/91 - w. Calculate the common denominator of -17/27 and m.
459
Let h(w) be the second derivative of -w**3/6 + 17*w**2/2 - w. Let l = 161 - 174. Calculate the lowest common multiple of h(l) and 2.
30
Suppose -3*c = 13*c - 32. Let p be c/(-9) + (-1011)/27. Let m = p - -1597/42. Find the common denominator of m and -51/86.
602
Suppose -14*u - 3*u = -2618. Let m = 160 - u. What is the lowest common multiple of m and 9?
18
Suppose -11*u - 2454 = -9285. Calculate the smallest common multiple of 253 and u.
6831
Suppose -2*j + 2 = -3*j - 3*a, 18 = 3*j + a. Let p = -263722 - -11340084/43. Calculate the common denominator of p and (-1)/j*(-3 + 56).
301
Let v be (7/(-3))/(1645/105). Let t = -727/3008 + v. Find the common denominator of t and -3/88.
704
Let r be 2 + -1 + 1 + -1. Let k(d) be the first derivative of 7*d**4/4 + 2*d**3/3 - d**2/2 - 390. What is the smallest common multiple of k(r) and 12?
24
Let p be -2 - (115116/(-7312))/(-1). Let z = p - 3/457. Let j = -6911/1008 - 97/112. What is the common denominator of z and j?
36
Let s(u) = -3*u**3 - 121*u**2 - 165*u - 321. Suppose -2*h = -3*x - 7*h + 156, 0 = 2*x + h - 111. What is the least common multiple of s(-39) and x?
570
Find the common denominator of 38/35 and 26/2*(-14)/42210.
21105
Calculate the common denominator of (3 + -1)*(-309)/516 + 16/24 and -61/2.
258
Let d be (196/(-12))/((-5)/15). Suppose w + 33 - d = 0. Find the common denominator of w and 31/6.
6
Suppose -29*a + 120 = -5*a - 4*a. What is the lowest common multiple of a and 518?
1554
Let i be 92/(-6)*(7 - -5). Let n(w) = -w**3 + 8*w**2 - 7*w + 8. Calculate the smallest common multiple of n(7) and i/(-13) - 22/143.
56
Let w = -431 + 422. Calculate the least common multiple of 12 and (-387)/(-45) - w/(-15).
24
Suppose 14 = 3*r + 8. Suppose -2*u + 6 = u - r*z, 15 = -5*z. Suppose 6*h - 50 - 58 = u. Calculate the least common multiple of h and 22.
198
Suppose 0 = 4*a - 3*o + 27, 3*a + 3*o + 1 = 7. Let v = 2125 + -16953/8. Calculate the common denominator of v and a + (5 - 117/(-60)).
40
Let l = -1/1893 - 14087/10096. Calculate the common denominator of l and 59/424.
2544
Let o = 2683/240 - 238/15. Calculate the common denominator of ((-425)/(-68))/(-25)*(-428)/(-14) and o.
112
Let m be 0 + (-3 - 6) + 7. Calculate the smallest common multiple of (2/(-7) - (-2130)/105) + m and 978.
2934
Suppose 11*f - 14*f - 6 = 0. Let m be (48/(-9) + (-8)/12)/f. Suppose m*x - 4*d - 16 = 0, 6*x - x + 2*d = 18. Calculate the least common multiple of x and 14.
28
Calculate the common denominator of 514/12 + 1/(-3) and ((-4)/70)/((-428)/(-17227)).
10
Let o be 4980/(-45)*(-27)/2. Let u = -4433/3 + o. Calculate the common denominator of 7/78 and u.
78
Let y = 8 + 26. Let i = y + -14. Suppose -40 = -0*b - 3*b + 5*d, -5*b - 4*d + 5 = 0. What is the smallest common multiple of i and b?
20
Let q = -10696 - 1269. Let s be 2/((25/(-5))/q). Let v = 43123/9 - s. Find the common denominator of 11/4 and v.
36
Calculate the least common multiple of 598 and (46/(-391) - 2739/(-17))/3*3.
4186
Let j = 3876019521530921/2292724137525654 - -61/15997461153. Let p = -1/10237 + j. What is the common denominator of p and 145/18?
126
Let b = 25158243443/1746606680 - -3/5077345. Let u = b - 98/43. Find the common denominator of u and (-1)/((-3)/(-10) + -1).
56
Let x = -1/256907 + -24148973/73218495. Calculate the common denominator of x and -43/57.
285
Let x be 6 + 3 + (-19 - -5). What is the common denominator of ((-10)/x)/(((-40)/97)/1) and 17/76?
380
Suppose -269 = b - 3*d, 3*d - 4*d - 1297 = 5*b. Calculate the least common multiple of 40 and b/91*7*-1.
40
Suppose 78*p + 986 = 20*p. Let d(j) = j**2 + 9*j - 82. What is the smallest common multiple of 1 and d(p)?
54
Let l be 0/(4*1/2). Suppose -8*x + 9*x - 4 = l. Suppose 0 = -6*f + x*f + 12. What is the least common multiple of f and 3?
6
Let w = -84/35767 + 2689817/64022930. Calculate the common denominator of 53/3580 and w.
3580
Let y = -233049473/847 - -275147. Find the common denominator of y and 1/154.
1694
Let j = -429553087/1726 + 248872. Calculate the common denominator of -47/18 and j.
15534
Find the common denominator of ((-366)/28)/((-198)/(-374)*17) and 6/1673.
10038
Find the common denominator of (-10)/((-14720)/8826) - (-1 + 7) and 1/80.
3680
Let b = -20 + 28. Let o = 3560 - 3538. What is the smallest common multiple of o and b?
88
Let k = 97 - 93. Suppose 0 = -k*y + 11*y - 56. What is the common denominator of 61/5 and 18/(-324)*(-30)/y?
120
Let v(j) = j**2 - 3*j + 7. Let c be v(2). Let s = 559 - 1063/2. What is the common denominator of ((-10)/4)/c + (6 - 5) and s?
2
Calculate the lowest common multiple of 2460 and (832/48 - 17)*5904.
9840
Let i(p) = -3*p - 256. Let v be i(0). Let r be (-16)/24 + v/(-6). Let m = 44 - r. What is the lowest common multiple of 3 and m?
6
Suppose 4*o = 2*o + 32. Calculate the smallest common multiple of o and (20928/1526)/((-12)/(-63)).
144
Let a(k) = -k**2 + 45*k - 92. Calculate the least common multiple of a(41) and 396.
792
Suppose -4*r - 2*o - 2 = 10, -2*r - 5*o = -10. Calculate the common denominator of (r/8)/1*(-473)/215 and -18/25.
200
Let i = 21247/3660 + 34/305. Find the common denominator of i and -33/68.
204
Let n be (1386 - 15)*(-1)/3. Let l = 479 + n. Calculate the smallest common multiple of l and 18.
198
Let b = -23755675/29868 - -15110/19. Calculate the common denominator of b and 95/84.
11004
What is the lowest common multiple of 2/(-14) - 61/((-7259)/612) and 231?
1155
Let a = 1722 + -24055/14. What is the common denominator of a and -91/304?
2128
Suppose -29*h = 42*h - 234 - 50. What is the smallest common multiple of h and 886?
1772
Let b = 4974 + -4222. What is the lowest common multiple of 5 and b?
3760
Let t(f) = -6*f**3 + 441*f**2 + 222*f + 2. Let j(z) = -z. Calculate the smallest common multiple of t(74) and j(-5).
10
Calculate the common denominator of (-6)/(-106)*(-2070)/3240 and -89/36.
1908
Let i be 944120/(-322629) + 42/14. Let w = 5/1763 + i. Let p = w + -7897/366. Calculate the common denominator of p and -52/25.
50
Suppose -55 = 60*i - 71*i. What is the common de