0)/(-4) and -74/27.
27
Let t(s) = -s**3 - 35*s**2 - 78*s - 432. What is the lowest common multiple of 7 and t(-35)?
16086
Let h = -1425 - -1514. Calculate the lowest common multiple of 5 and h.
445
Let i = -6584213/144 + 45723. Find the common denominator of -97/96 and i.
288
Let v = -5894 + 5845. Suppose -4*d = -4*u - 244, 0*d + 4*u = -3*d + 204. Let t = d + v. What is the smallest common multiple of t and 36?
180
What is the common denominator of -3 + 36626/14560 + 2/5 and -85/6?
4368
Let f = -8219 - -2609. Find the common denominator of ((-8)/(-9))/(-2)*f/544 and 1/28.
84
Suppose 19 = -q + 5*n, 2*n - 4 = 6*q - 2*q. Calculate the least common multiple of 8 and ((48/(-20))/4)/(q/(-10)).
24
Let p(y) be the first derivative of -y**4/4 + 23*y**3/3 - y**2/2 + 34*y - 31. What is the smallest common multiple of 26 and p(23)?
286
Suppose 3*w - 4*a + 1293 = 4987, 2*w - 2461 = 3*a. Let t = w - 9929/8. What is the common denominator of t and -3/22?
88
Suppose w + 10 = -4*o, 4*o - 2*o + 20 = 2*w. Suppose -408 = -4*g + 4*d, 5*g - 101*d = -105*d + 456. Calculate the lowest common multiple of w and g.
96
Suppose 4*r + 3*d = 3373, -5*r + 4240 = -4*d + 3*d. Calculate the common denominator of (-346)/40*(-6 - r/(-147)) and 37/231.
924
Let x be ((0 - 0) + -8)/(-1 + -1). Suppose -x*m - 4*c - 16 = -0*m, -c = 3. Calculate the least common multiple of ((-173)/(-9) - m) + 52/(-234) and 102.
1020
Calculate the common denominator of 1/((-81)/56)*7/((-1372)/672) and (2/(-36))/(44/732).
594
What is the common denominator of (1720/(-480))/(1*-84) and -23/42?
1008
Calculate the least common multiple of (-243)/(-4) - (-123)/(-164) - 5*1 and 1580.
17380
Let x = -36/2551 + -61127/910707. Find the common denominator of 155/84 and x.
1428
Let r be (-2)/10 + 2946/30. Let d = r + 186. Find the common denominator of d/20 - 4/((-16)/(-12)) and -26/5.
5
What is the lowest common multiple of 264 and (-154)/((5/(-90))/(-5 - (-51)/9))?
1848
Let s be 6/(-8) + ((-25)/20 - -1). What is the smallest common multiple of 7 and (-12)/s + 30/(-10) - -2?
77
Let b = -126954190680/146059 - -869198. Let k = -392314480/438177 + b. Let d = k + 903. Calculate the common denominator of d and 151/18.
18
Let j = -8438051/18618 - -13139/29. Calculate the common denominator of 13/1498 and j.
4494
Let o be 4/6*(13 + -7). Suppose 0 = z + o*n - 36 + 7, 4*z - 62 = 2*n. Let w = -1 + z. Calculate the lowest common multiple of w and 18.
144
Let v = -2834 + 4019. Let q = v - 11833/10. Calculate the common denominator of q and (3 + -2)*(-39)/172.
860
Suppose 24 = -f + 5*z, -f - 3*f + 29 = 5*z. Find the common denominator of 136/66 + (20/(-12))/f and 53/18.
198
Let h(s) = 4*s**3 - 10*s**2 + 6*s + 4. Let o be h(4). Let n = o - 104. Calculate the smallest common multiple of n and 16.
80
Let o = 15 + -10. Suppose x = 3*g + 5*x - 40, -o*g + 59 = -x. Let q(a) = -11*a**3 + 49*a**2 - 12*a - 8. What is the smallest common multiple of g and q(4)?
24
Calculate the common denominator of -13 + 14 + 17912/(-18128) and -143/618.
6798
Let y(u) = u**2 - 84*u - 1464. Calculate the smallest common multiple of 102 and y(100).
408
Suppose 3122 = -28*f + 10010. Let i = f - 158. What is the least common multiple of 80 and i?
880
Suppose 34*c - 34*c + 65*c - 3510 = 0. Let i(s) = -s**3 + s + 24. Calculate the smallest common multiple of c and i(0).
216
What is the common denominator of (5 - 3034/1344) + (-57)/19 and -121/240?
3360
What is the common denominator of -29/1060 and ((-2)/(-112))/((-230)/(-10764))?
7420
Calculate the common denominator of -57/404 and (-13)/(2652/384) - 8/16.
6868
Suppose -2*s = 7*s + 117. Let f(c) = -4*c + 8. What is the least common multiple of 10/(0 + 2) + 39/s and f(-6)?
32
Let r = 11183959/1010761368 + -2/338727. Let i = 134801/182024 - r. Calculate the common denominator of -37/22 and i.
1342
Let p be -50 + 13 + -1 + 1. Let x = 831/20 + -139/5. What is the common denominator of (p/(-5))/(6/15) and x?
4
Calculate the common denominator of 59/1008 and (-90)/(-84)*(-45)/(-2940)*(-77)/(-10).
7056
Let p = -6859965/88 - -77953. Calculate the common denominator of p and -117/560.
6160
Let f = -44310979189/13734 + 3226371. What is the common denominator of f and -91/16?
109872
Let t = -4150/23 + 229607/1265. What is the common denominator of 109/726 and t?
3630
Let i = -2/114601 - -11116581/16273342. Find the common denominator of i and -53/568.
568
Suppose 4*w - 8 = 3*z + 9, 3*z = 5*w - 13. What is the common denominator of -53/42 and ((-1989)/1428)/(z/2 - -1)?
42
Let m = -126122 + 14630047/116. Calculate the common denominator of 7/(-42) - 86/48 and m.
696
Let m(o) = -o**3 - 5*o**2 - 8*o - 14. Let s be m(-3). Find the common denominator of 279/(-126) + s - -8 and 27/56.
56
Suppose -5*n - 636 = -4*b, -66*b + 63*b - 5*n = -442. What is the least common multiple of 1540 and b?
1540
Let f = 50 - 71. Calculate the common denominator of 29/121 and (114/132)/(35/f).
1210
What is the common denominator of 58/5 and (-15)/(-25) + (-360763)/596505?
45885
Suppose -11676 = -6*d + 84. Calculate the common denominator of -83/56 and 1 + 3 + (-8995)/d.
56
Let f be (-2)/((-294)/33 + 9). Calculate the smallest common multiple of 146 and (f/8)/((-4)/16).
1606
Calculate the common denominator of 202/(-7)*(-1)/(-4) and -12*-4*(-5)/(-160)*-31.
14
Suppose -32*x + 28908 = 41*x. Calculate the lowest common multiple of x and 28.
2772
Find the common denominator of (-3)/33 - 45576/(-324918) and -33/7.
3829
Calculate the common denominator of (-480)/(-32) - (-521)/(-36) and 29/264.
792
Let m(i) = i**3 - 4*i**2 + 3*i. Let b be m(4). What is the common denominator of 1/(b/(-3)) - (-834)/144 and 71/39?
312
Let v = -15691 + 502161/32. Find the common denominator of v and 5/104.
416
Suppose -4*y - 14 = -6. Let u be 4 - y/(6/(-15)). What is the lowest common multiple of (u + 0 - -3) + 36 and 16?
304
Suppose 13*s + 5*s - 2430 = 0. Calculate the common denominator of -19/63 and (s/(-100))/(((-168)/220)/(-1)).
504
Calculate the lowest common multiple of ((-2)/(-40)*(24 - -4))/((-2)/(-10)) and 15.
105
Find the common denominator of -79/1054 and ((-2)/(-10) - 120/(-675)*-18)/20.
10540
Let v = -43705 + 174899/4. Calculate the common denominator of v and -23/607.
2428
Suppose 0 = 2*x - 10, 5*x - 7*x = -4*n + 1130. Let a be (-6 - -9) + (-1426)/n + 2. Let r = a + -2222/285. Find the common denominator of r and -47/13.
65
Let w = -34/34947 - -19693/1172666. What is the common denominator of 27/4 and w?
5436
Suppose d - 4*s = 94, 390 - 57 = 3*d + 5*s. Let r(m) = 32*m + 1089. Let n be r(-34). Find the common denominator of d*n/(-12) - -5 and 61/2.
6
Let q(k) = -k**3 - 22*k**2 + 22*k - 11. What is the lowest common multiple of q(-23) and 288?
288
Let k be ((-1)/(-1))/((-2)/12). Find the common denominator of (-5)/k*(-91)/21 and 15 + (1 - 8) - 1/(-66)*-530.
198
Let z(o) = 7*o - 19. Suppose -y + 4*h = -5, -5*y - 59 = -0*y + h. Let t = y - -14. Calculate the least common multiple of z(t) and 26.
26
Let q = 2659 - 2650. What is the least common multiple of q and 405?
405
Find the common denominator of (2*(50/(-225))/((-16)/438))/(-3) and -85/1532.
13788
Suppose 2*q + 93 = -3*x + 34, -3*q = x + 71. Calculate the common denominator of q/33*357/(-60)*-1 and (-3 - (-1491)/72) + 5/40.
30
Let g = -1 - 19. What is the least common multiple of (3/(-5) - (-8)/g) + 103 and 8?
408
Find the common denominator of ((-80)/1824*-9)/378 and 115/24.
9576
Let r be (2/6)/((-7)/357). Let h = 141 - 104. Let c = r + h. What is the smallest common multiple of 8 and c?
40
Let b = 2094 + -1174. Suppose 3*p - 2*s - b = 0, 0 = 5*p + 7*s - 4*s - 1508. Let k = 3389/11 - p. Find the common denominator of 29/10 and k.
110
Let u be 2 + 5/(-3) + (-5599)/(-33). Let t = 192 - u. Calculate the least common multiple of 8 and t.
88
Let u be 366116/(-16)*275/10. Let b = -626240 - u. Let z = b + -3026. Calculate the common denominator of z and 71/330.
1320
Let q = 12750191293724519/7322347559398486 - 428/6842305117. Let p = 2/18451 + q. Find the common denominator of p and 55/14.
406
Let t(d) = 5*d**2 + d. Let s be 12/48 + 206/8. Suppose 0 = s*f - 29*f + 48. What is the lowest common multiple of t(-1) and f?
16
Find the common denominator of 43/1562 and (-378)/(-70)*(-140)/(-3696).
3124
Let r = 31