common denominator of y and 19/18.
450
Let v = -36/67 + 3848/1675. Calculate the common denominator of v and 167/960.
4800
Let k = 809 - 371. Calculate the least common multiple of 9 and k.
1314
Let q(a) = a**3 - 13*a**2 + 30*a + 2. Let d be q(10). Suppose 0 = d*p - p - 75. Let n = -70 + p. Calculate the least common multiple of 38 and n.
190
Suppose 3*d = -7*q + 6*q + 16, 0 = -d - 1. Find the common denominator of -21 + 1 - (q - 20) and -49/3.
3
Let m = -13013/6 + 2174. Find the common denominator of 2 - -1 - -2*(-5 + 12) and m.
6
Let f(q) = -4*q - 31. Let d be f(-9). Suppose d*t + 14 = 589. Let g = -91 + t. What is the least common multiple of g and 33?
264
Suppose 20*p + 77113 = -4487. Let w = -7276 + 58293/8. Calculate the common denominator of (9*(-55)/p)/((-6)/10) and w.
272
What is the least common multiple of 602 and (16 - 860/55) + 11344/22?
3612
Let y = -16436/9 + 5503/3. Let c be ((-24)/36)/(0 + (-1)/9). Calculate the common denominator of 34*c/(648/6) and y.
9
Suppose -111*k + 106*k + 35 = 0. Calculate the common denominator of (k + -9)/((-60)/26) and -143/36.
180
Calculate the common denominator of 2943/(-135)*5/(-14) and 41/10272.
71904
Suppose 270*t = 79*t + 1318 + 974. What is the least common multiple of 778 and t?
4668
Suppose 11*c = 9*c - 27*c + 27840. What is the least common multiple of c and 720?
2880
Suppose 5*c + 2*q = 14, 0 = 4*c - q - 0*q - 19. Suppose 3 + c = z. Let p(l) = l**3 + 49*l**2 + 25*l + 1251. What is the least common multiple of p(-49) and z?
182
Let n = -2909 + 2930. What is the lowest common multiple of n and 39?
273
Suppose -12 = -32*m + 26*m. Suppose 2*z + 10*j - 260 = 5*j, m*z - 5*j - 260 = 0. What is the lowest common multiple of 2 and z?
130
Suppose -27 = -5*u - x, u - 2*x + 6*x = -6. Suppose p = u*p - 480. Calculate the least common multiple of p and (-5 - 4*6/(-12))*-6.
288
Let f be ((-8)/6 + 4)*6/(-4). What is the common denominator of 3798/402 + f - 5 and -47/11?
737
Let j = 862/357 - 57/34. Let m = 144/5 - 3491/120. What is the common denominator of j and m?
168
Let n = -420 - -510. Suppose 2*c - 190 = -n. Calculate the smallest common multiple of c and 60.
300
Let k be 98627/(-26520) + ((-16)/(-10))/(-4). Let s = -6500/7 - -4309472/4641. Let n = s + k. What is the common denominator of n and -113/12?
24
Let y = 669423001/20 + -33486616. Let t = 15461 + y. Find the common denominator of t and 81/40.
40
Let m(n) = 4*n**2 - 6*n + 6. Let j = 3327 + -3315. What is the smallest common multiple of j and m(3)?
24
Let h be (-125)/45 - (-14)/(-63). Find the common denominator of (-4)/(-84)*((-369)/(-30))/h and 29/2.
210
Suppose -39*t = -1955 + 707. Let n(x) = 2*x - 7. Let s be n(-5). Let a = t + s. Calculate the least common multiple of a and 12.
60
Let a = 1112 + 2608. Let p be a/(-24) - 2/(-2). Calculate the common denominator of (54/84)/((-12)/p) and -81/44.
44
Let p(v) = -10*v + 518. Let y be p(0). Let l = y + -507. Calculate the least common multiple of 8 and l.
88
Let l = 76/3 + -29/6. Let u = 70763/51 + -1388. Let q = u - -2/3. Find the common denominator of l and q.
34
Let i = -7046891/2064 - -20485/6. Calculate the common denominator of 23/176 and i.
7568
Let j(y) = -2*y**2 - 139*y + 1028. What is the lowest common multiple of 23 and j(-75)?
4669
Let b be (-32)/(-8) + -14 + 5. Let d(v) = 4. Let c(s) = s + 5. Let k(l) = -4*c(l) + 5*d(l). What is the lowest common multiple of k(b) and 10?
20
Let s(x) = x**3 - 12*x**2 + 4*x + 23. Let z be s(12). Suppose -2*g - z = -29. Find the common denominator of 44/7 and (-60)/g + (-16)/4.
7
Let f = -470113/32 + 14689. What is the common denominator of f and 31/520?
2080
What is the common denominator of (0 - (-4)/3) + 5/(175/14) and 19/135?
135
Suppose -5*y + 3*x = 14, -12*y + 9*y = -5*x + 18. Calculate the least common multiple of 15 + y + (-6 - -12) and 20.
20
Let v = -15778/3 - -1854343/354. Let h = 276325/12744 + v. What is the common denominator of h and 23/48?
432
Let q = 25372 - 1395527/55. Find the common denominator of (-1)/(-2) - (-93)/(-120) and q.
440
Let g = -709 + 25561/36. Calculate the common denominator of g and 71/624.
1872
Suppose -94*o - 316*o + 4100 = 0. Let f = 12 - 7. What is the smallest common multiple of o and f?
10
Let x = 65185/4023269 - 33/2183. Let q = 42377/11058 + x. Find the common denominator of 91/64 and q.
192
Let m = 867592/15 - 57816. Let y = 24/5 - m. Find the common denominator of y and (6/(-4))/(18/262).
6
Let u(f) = f**2 + 2*f. Let v = -388 - -452. Calculate the smallest common multiple of u(2) and v.
64
Let a = 4674 + 15904. Let u = a - 411477/20. Find the common denominator of 51/80 and u.
80
Let k = 44 - 40. Suppose 0 = 4*y - a - 31, -k*a = 2*y - y - 12. Calculate the lowest common multiple of (6/(-2))/(-8 + (-1025)/(-130)) and y.
104
Let g(b) = -25*b - 159. Let f be g(-7). Calculate the common denominator of 161/44 + (-148)/f + 9 and -89/38.
418
Suppose -4*m - 140 = -2*l, 0 = -l - 3*l + 2*m + 280. Find the common denominator of 51/56 and (6/(-4))/(l/(-40)).
56
Suppose -12*r + 3*t - 7 = -16*r, 0 = 4*r + 4*t - 8. What is the least common multiple of (-8700)/(-75) - (r + 1) and 20?
1140
Suppose -53*n + 20544 + 14436 = 0. Calculate the least common multiple of n and 660.
660
Find the common denominator of 47/22 and 1486/1860 - 540/900.
2046
Let g = 33448 - 31900. Calculate the lowest common multiple of 2580 and g.
7740
Let t be -1 + (-3)/6 + (-8711)/(-20). Let p = 2173/5 - t. What is the common denominator of p and (-12)/75 - 6/(-3 + -3)?
100
Let f be (6 + -2)*(-4 - -5). Suppose 4*i + f*p = 10 - 2, -2*i = -4*p + 2. Suppose 4*y = 5*y - 11. What is the smallest common multiple of y and i?
11
Suppose 5*x = -4*g - 11, -3*g - 7 = -3*x - 2*g. What is the common denominator of (-1)/x - (-96)/21 and (435/18 - 7) + -12?
42
What is the least common multiple of 5 and (-7 - -36)*(0 - -3*19)?
8265
Let s be 30/9*906/5 + 0. Suppose -2*o = 4*z + s, o + 4*z + 178 = -118. Find the common denominator of 39/11 and (o/(-40))/((-6)/15).
44
Let o(c) = c**3 + 12*c**2 - 6*c - 43. Calculate the least common multiple of 72 and o(-11).
144
Let w(x) = 153*x**2 - 6. Let j be w(4). Let k(u) = 4*u**2 - 2*u. What is the smallest common multiple of j/90 - (-4)/(-30) and k(2)?
108
Let r be -2*55*((-24)/(-15))/(-4). Let u = r - 43. Find the common denominator of (u - (-1252)/(-312)) + 2/(-6) and 21/8.
104
Calculate the least common multiple of 16 and (-8)/(-10)*(-11 + 24606/36).
4304
Let w(p) be the first derivative of -p**3/3 + 8*p**2 + 98*p + 335. Let q(v) = -19*v**3 - 2*v - 1. What is the smallest common multiple of w(20) and q(-1)?
180
Let p = 154616 + -63083231/408. What is the common denominator of 33/32 and p?
1632
Suppose 8*l + 4*t - 44 = 0, -l + 18 = 3*l - 2*t. Calculate the least common multiple of l and 4.
20
Let x(z) = -5*z + 52. Let b be x(10). Suppose -f = 3*p - 4, 5*f - b*f - 12 = -5*p. Calculate the lowest common multiple of f and 120.
120
What is the common denominator of -37/180 and (-3897)/(-72) - 54 - 167/8?
180
Calculate the common denominator of -19/5 and -5*(-12)/(-330) + 931025/224070 + -4.
20370
Let x(b) = 8*b + 15. Let g be x(-6). Suppose 0 = 3*u + c - 271, -u = 3*u - c - 359. What is the common denominator of 2/(-3) - g/u and -83/6?
30
Let d = 2 + 4. Suppose -3*y - 1 = 2*o, -2*y - 5*o + 4 = 23. Suppose -2*b - z + y = -0, 0 = -2*b + 2*z + 12. Calculate the lowest common multiple of d and b.
6
Find the common denominator of -11/529 and (2 - -2) + (810/(-60))/(2/(-3)).
2116
Let z = -84 - -259. Suppose -4*i = -z + 163. What is the smallest common multiple of 21 and i?
21
Let s = 2 - -1. Let x = -11 + s. Find the common denominator of (-2)/x - (-139)/(-36) and 109/18.
18
Let k(j) = -2*j - 63. Let y be k(-29). Calculate the least common multiple of 2/(-3)*-6 - 0 and y/(-2) - 46/(-92).
12
Let a = 1/560 - -7271/5040. Let w = 81524/7 - 68029/7. Let i = 1933 - w. Calculate the common denominator of i and a.
63
Suppose 5*f = -2*u + 4897, -4*f + 3*u + 2955 = -f. Calculate the lowest common multiple of f and 63.
6867
Let l(i) = i**2 + 337*i - 2416. Calculate the common denominator of 44/867 and l(7).
867
Let m be (4/(-12))/((-2)/66). Suppose -m*p + 6*p = 240. Find the common denominator of 20/(-8)*p/(-105) and -10.
7
Let o(a) = 17*a**2