and z?
9
Let a = 14563047/256 + -56887. Find the common denominator of a and -31/288.
2304
Let f = 8286201/8 - 1033911. Let l = f + -1860. Find the common denominator of l and -71/2.
8
What is the common denominator of (1/155)/((-1722)/12505) and 15/7?
1302
Let k(l) = -2*l**2 + 18*l + 62. Let b be k(13). Calculate the common denominator of (32/84)/(b/(-245)) and -50/7.
63
Let a = 139 - 131. Suppose 5*x - 4*t + 8 + 5 = 0, x + 2*t = -11. What is the smallest common multiple of 5 and a*(3 + x/2)?
20
Let r = -4/48711 + -1866503/9157668. What is the common denominator of r and 61/12?
564
Let k = 3553159/108 - 32899. Calculate the common denominator of k and 89/234.
1404
Let t = 1179967/18 + -65552. Calculate the common denominator of (-5)/(-28)*(-14)/(-36) and t.
72
What is the common denominator of (1605/(-8560))/((1291/(-6))/(2/(-3))) and 67/12?
15492
Let a = 35899 - 35709. What is the least common multiple of 10*((-1)/5 + 1) and a?
760
Find the common denominator of (-1 + 12/(-148))*(-3)/(-6) and 40/(-105)*33/(-4).
259
Let h = 119 + -119. Suppose 19 = 4*i - y, 4*i + 4*y - 1 - 3 = h. What is the common denominator of i/(-22) - 3892/(-1320) and -19/15?
30
Let z(q) = q**2 - 14*q - 13. Let o be z(18). Suppose 54*d - o*d + 140 = 0. Suppose -3*u + d = 4*u. Calculate the smallest common multiple of u and 3.
12
Suppose -2*b = -x + 30, x + 2*b - 10 + 0 = 0. Calculate the least common multiple of 4 and (-10)/x*44/(-2).
44
Let k = -559 - -972. Let v = k - 411. Calculate the least common multiple of 32 and v.
32
Suppose -3*m + 31 = 5*w - 20, -m = 4*w - 38. Calculate the least common multiple of ((-4)/6)/((-4)/102) and (-1*w)/(11 - 12).
153
Suppose -5*a - 11*a = 480. What is the common denominator of -39*(-2)/(-45) - (-18)/a and -43/30?
30
Let s(r) = 6*r**3 + 3*r**2 - 5*r - 10. Let v be s(3). Let g = 134 - v. Find the common denominator of (-2)/5*(-7)/2 and g.
5
Suppose -c + 25407 = 8*c. Let q = c - 4377. Let p = q - -9389/6. What is the common denominator of 73/134 and p?
402
Let x = -2294/9 + 1493/6. What is the common denominator of x and -17/30?
90
Find the common denominator of (-1 - (-3)/5)*(-15290)/31152 and -65/1062.
2124
Let t = 12/1913 - -36275/11478. What is the common denominator of 17/836 and t?
2508
Let r = 39 + -11. Let n = r - 12. Suppose k - n = -7. What is the smallest common multiple of k and 33?
99
Let t = 39911 + -39893. Calculate the lowest common multiple of 768 and t.
2304
Let u(c) = -c**2 - 2*c + 1. Let d(z) = -4*z**2 - 39*z + 3. Let o(r) = -d(r) + 5*u(r). What is the least common multiple of 14 and o(15)?
1484
Let z = 895211/6622758 + 3/31994. What is the common denominator of 187/90 and z?
2070
Let z = -971170673723/18930 - -51303258. Let o = -170752189/37860 + z. Let d = 4515 + o. What is the common denominator of d and -16/9?
36
Let v = 4 + 1. Suppose v*o = -55 + 455. Suppose -3*s = -4*a + 69, 28 + 13 = 2*a + 5*s. What is the smallest common multiple of a and o?
720
Let b = -1503/4 + 370. Let x(w) = 12*w**3 + w - 3. Let j be x(-4). Let d = j - -4679/6. Find the common denominator of d and b.
12
Let v = 101 - 96. Suppose -x = -4*k + 12, -v*k + 15 = -5*x - 0. Calculate the common denominator of ((-58)/k)/((-64)/(-36)) and 71/2.
8
Let c = -599 + 574. What is the common denominator of -43/95 and c/(-30) + 202/60?
95
Find the common denominator of 44/3 and (3/(-126)*2)/((2200/(-885))/20).
462
Let m be ((-2)/(-3))/((-4)/(-6)). What is the common denominator of (-3)/36 - (-3573)/(-1188) and 1 + ((-415)/10 - m)?
22
Suppose -61*q = -51*q - 40. Suppose 9*j - 49 = 5*j - 3*g, -12 = -q*g. Calculate the smallest common multiple of 5 and j.
10
Let x = 88 - 48. Let h(p) = 4*p**3 + 24*p**2 - 53*p + 10. What is the least common multiple of h(2) and x?
160
Let g be (1 - 0)/((-2)/((-10)/(-1))). Find the common denominator of -71/14 and 357/(-36) - 0 - (7 + g).
84
Let w = -103961/187180 + 126/955. What is the common denominator of 32/245 and w?
980
Let v(t) = t**3 - 8*t**2 + 9*t - 18. Let d be v(7). Find the common denominator of 96/(-240)*(-97)/d and 9/16 + 1 - 2.
80
What is the smallest common multiple of 200 and ((-115)/(-2))/((1 - 0)/(59 - 49))?
4600
Suppose 5*q - 2 - 48 = 0. Suppose 0 = 36*g + g + 333. Calculate the lowest common multiple of (g/(-180)*4)/(1/85) and q.
170
Let i = -34163/22649 - -20/781. Find the common denominator of 14/(-12) + 899/(-19488)*8 and i.
812
Suppose -1082*h + 18 = -1085*h. Let n(v) = 135*v + 811. Let i(a) = -a + 2. Calculate the least common multiple of n(h) and i(-2).
4
What is the common denominator of 121/1380 and (-26420)/(-55200) - (-10)/(-115)?
2760
Suppose 0 = -5*b - t + 2945, -b = 5*t + 157 - 770. Calculate the common denominator of 133/54 and 1 - 1 - (-70)/b.
378
Suppose -5*s = 5*n - 0*n - 60, -5*s + 54 = -n. What is the smallest common multiple of (160/(-200))/(24/15)*-34 and s?
187
Find the common denominator of -77/6 and 12/(-52)*(2 + (9855/1014)/(-5)).
13182
Let v = -1867/22 + 400/11. What is the common denominator of -1/232 and v?
232
Let u(o) = -o**3 - o**2 + o - 460. Let t be u(0). Let k = 532 + t. Calculate the lowest common multiple of k and 16.
144
Suppose -2*v = 489 + 311. Let q = -7205/18 - v. Find the common denominator of q and -4 - ((-5177)/7812 - 1/7).
36
Let g = -106 + 120. What is the common denominator of 101/24 and (-381)/162*1*(11 - g)?
72
Suppose -3*p = -142082 + 142058. What is the least common multiple of p and 2230?
8920
Suppose -2*a + 8 = 2*c, 69*c - 2*a = 74*c - 41. Calculate the least common multiple of c and (-42)/(-4) - (-1)/2.
11
Let f be 14/21*42/(-4). Let t(v) = v**3 + 8*v**2 + 5*v - 11. Let s be t(f). Suppose -s*r + 21 = 4*r. What is the least common multiple of 8 and r?
24
Suppose -57*u + 10 = -59*u. Calculate the least common multiple of 74 and (-3)/(-2)*u/((-60)/32).
148
Suppose -5*x + 6*x = 1, -x - 3 = 2*c. Calculate the common denominator of 59/12 and 4 - (c/(-7) + 28143/5796).
276
Let s = 52 - 37. What is the lowest common multiple of ((-18)/(-10) + -1)*s and (-1603)/(-49) - ((-427)/(-49) - 9)?
132
Let w = 159130/387051 - -28/2633. What is the common denominator of 67/588 and w?
588
Let p = 1 + 2. Suppose 7*t - 3*t = 60. What is the common denominator of -41/3 and (-1 + 6)/(p/t)?
3
Let c = -63 + 45. Let d be -2*32/4*c/(-8). Calculate the common denominator of 13/18 - (-8)/d and -37/2.
2
Let o be (13*-1)/(21/(-9) - -2). Suppose -61 = -5*u + o. What is the common denominator of -89/10 and 30/u*6/8?
40
What is the common denominator of -3*(-3)/1125*(-1168)/(-112) and 53/250?
1750
Let c = 29915 + -20821. Calculate the lowest common multiple of 14 and c.
63658
Suppose -75 = 4*m - 295. Let x = -19 + 23. Suppose -q - x*q = -m. What is the lowest common multiple of 10 and q?
110
Calculate the common denominator of 1738/(-395)*(-135)/(-228) and -33/428.
8132
Let k(w) = 2*w**3 - 12*w**2 + 8*w - 19. Let l be k(5). Find the common denominator of (-7)/(-7) + -4 - l/(-3) and 1/3.
3
Suppose 20 = 5*l, -j + 44 = -5*l - 16. Calculate the least common multiple of j and 1800.
3600
Let t be ((-43)/2)/((-5)/(-10)). Calculate the common denominator of ((-3)/(-26))/((-3)/t) and (-12)/(-22) - 270/198.
286
Suppose -13*r + 529 = 274 - 382. Calculate the smallest common multiple of r and 7 - 3*(-2)/(-3).
245
Let k = -54/17 + 2113/510. Calculate the common denominator of 89/3450 and k.
3450
Suppose 13*c = 26 + 234. Let j = -374219/30 + 12476. What is the common denominator of (-4 + 65/c)*(-1352)/180 and j?
30
Suppose 139 + 149 = 8*w. Suppose -94 = -5*t + 2*b, 25 = 3*t - 4*b - 37. What is the lowest common multiple of t and w?
36
Suppose -3*c - 1011*d + 1009*d + 516 = 0, -d - 167 = -c. Calculate the lowest common multiple of 3332 and c.
16660
Let o = -10 - -30. Let w = 189670 - 189510. Calculate the least common multiple of o and w.
160
Suppose -3*b - 176*f + 179*f + 138 = 0, -3*b - 4*f + 96 = 0. Calculate the lowest common multiple of 168 and b.
840
Let v = -38 - -52. Find the common denominator of (-3)/4*(-254)/18 and 78/v - 11*(-12)/(-132).
84
Calculate the common denominator of 88/12*(-2)/24 and (1 + (-178)/18)/(51/((-4437)/58)).
18
Let p = 530 + -528. Let b = 23 + -14. Suppose 20 - p = b*g. Calculate the least common multiple of 3 and g.
6
Suppose -10 = -5*l, -3*l = -5*w + 75 + 129. What 