ator of 31/155 - -4*(-126)/1045 and -93/88.
1672
Let q(d) = -d + 3. Let b be q(0). Let u = 701/104 + 7/52. Calculate the common denominator of u and 17/(-4) + (b - 2).
8
Let c = -875068 + 1919024156/2193. Find the common denominator of -41/8 and c.
17544
Let u = 9253435/84 - 110158. What is the common denominator of u and (2/4 - 2)/(120/316)?
420
Suppose 2*k - 3*j = 3*k + 7, 0 = 5*k - 2*j - 16. Suppose 5*t = k*r + t - 30, 0 = -3*r - 5*t + 1. Calculate the smallest common multiple of 21 and r.
21
Let j(x) = 10*x**3 - 4*x + 4. Let b be j(1). Suppose -w + i = -43, -2*i + b - 184 = -4*w. What is the least common multiple of 22 and w?
44
What is the smallest common multiple of (-2)/26 + 72116/572 and 1638?
1638
Suppose 0 = 5*y - 3*n + 16, -y = 4*y - n + 12. Calculate the lowest common multiple of (-6)/9*(-18 - 0) and 9 + 18/(-6) + y.
12
Let i(q) = 7*q**2 - 29*q + 24. Let y be i(8). Suppose y*o - 239*o = -42. Calculate the common denominator of -34 and o.
1
Let c = -2/67 - -290/737. Let w = -51/179 + 27411/98092. Let l = -3635/822 - w. Calculate the common denominator of l and c.
132
Suppose -3*o + 6*o - 15 = 0. Let r be ((-625)/10)/((-70)/56). Suppose -o*f + p = -r, 0*f - 14 = -f + p. Calculate the lowest common multiple of f and 12.
36
Let c be ((-18)/(-1))/3*1. What is the common denominator of 1/(-60)*(-1005)/c and -119/48?
48
Suppose 2*t - 5*t = 2*p - 28, -2*t - 3*p + 27 = 0. Let h be 4*33/t + 0. Let y = -69 + h. Find the common denominator of 40/11 and y.
11
Let c = 25 + 5. Let t(r) = -r**3 - 34*r**2 + 126*r - 973. What is the least common multiple of t(-38) and c?
30
Suppose 10*f - 4*f - 96 = 0. Suppose f*t - 7*t - 315 = 0. Calculate the smallest common multiple of 8 and t.
280
Let a = -663/14 - -191/4. Let j = -375111/832 - -5854/13. What is the common denominator of j and a?
448
Let s = 3894448 + -18810183991/4830. Calculate the common denominator of s and -26/165.
53130
What is the common denominator of -137/318 and 5/(8480/36)*(-328)/30?
1590
Let h = 24 + -25. Let w(m) = 6*m**2 + 3*m + 1. Let x be w(h). Suppose -c - x*k - 40 = -3*c, 0 = 3*c - k - 55. Calculate the least common multiple of c and 6.
18
Suppose -3*r + 20 = -196. Suppose -4*x = -3*t + 57, 3*x = -2*x + 4*t - r. Find the common denominator of (-2)/x*(-6 + (-393)/9) and -121/30.
90
Let b(s) = -s**3 + 9*s**2 - 13*s + 9. Let q be b(7). Let c = 8 - q. Find the common denominator of -13/15 and (c/9)/((-18)/(-21)).
135
Suppose 0 = f - 0 - 16. Calculate the common denominator of (-212)/12 + 5 - -5 and f/(-5) - (-12 + 11).
15
Let h = -220 + 216. What is the smallest common multiple of (-2)/h - 3*(-104)/16 and 45?
180
Suppose 71*g - 8 = 67*g. Calculate the least common multiple of 745 and g.
1490
Calculate the common denominator of (-127)/(-30) - (-2 - -1) and ((104/32)/(-13))/(((-15)/61)/(-5)).
60
Let q = -3275/38 - -517/6. Find the common denominator of -85/483 and q.
9177
Let g(z) = -z**3 - z**2 + 2*z. Let r be g(-2). Let b(a) = -a - 1. Let x be b(r). Calculate the common denominator of 23/9 and ((-96)/16)/(x + 17/(-16)).
99
Let w = -10 + 250. Let k = 270 - w. Suppose 3*m + 2*p - 68 = 0, 4*p = 4 - 0. Calculate the smallest common multiple of k and m.
330
Find the common denominator of (-154980)/12925 - (12 + -24) and 101/470.
5170
Suppose -5*t + t = -24. Suppose 0 = -5*b + 90 + 220. Let u = b + -51. Calculate the smallest common multiple of u and t.
66
Let w be ((-148)/(-16))/((-1)/4). Suppose 369 = 10*a - a. Let x = a + w. What is the lowest common multiple of x and 26?
52
Let g = 10 - 8. Suppose g*b + 305 = -5*s - 2272, -3*b - 3853 = -5*s. Find the common denominator of (-12)/42*-1 + b/(-56) and 99/4.
4
Let u = 3131032/189 - 16566. What is the common denominator of u and -4/1647?
11529
Let n = 39/788 - 5869/3152. Find the common denominator of -89/224 and n.
224
Suppose -4*g + 6*g + 74 = 4*p, -65 = -4*p + 5*g. Let t be ((-2)/(-4))/((-2)/24). Let x = p + t. What is the smallest common multiple of x and 18?
126
Suppose -2*h = -g - 10, 4*h + 0*g = 5*g + 14. Find the common denominator of (-2)/(-6)*297/h and (7/770)/(40/(-4300)).
44
Let s = 2731 + -2361. Calculate the lowest common multiple of s and 14.
2590
Let l = -469656 - -1649012/3. Let m = l + -40807427/510. Calculate the common denominator of m and 37/10.
510
Let n(m) be the first derivative of -m**4/4 + 14*m**3/3 + 16*m - 55. Calculate the lowest common multiple of n(14) and 64.
64
Let y(z) = -z**3 + 14*z**2 + 3*z + 14. Calculate the least common multiple of y(14) and 2 + (-1)/(8/(-40)).
56
Let o = -5555/98 - -352/49. Find the common denominator of o and 564/4248 - (-2)/(-6).
354
Calculate the common denominator of 87/14 and 9/(-13 + 58)*(-230)/(-44).
154
Let u be (2/(-3))/((-1)/(-6)). Let d = 8 - u. What is the least common multiple of 6 and d - -1 - (6 + -5)?
12
What is the lowest common multiple of (-198)/528 + (-24563)/(-8) and 614?
3070
Calculate the common denominator of 27/256 and (-937)/256 - (-22 + 432/24).
256
Suppose 35 - 3 = 4*o - 4*u, u - 4 = -3*o. Calculate the lowest common multiple of 420 and (o/4*(-8)/3)/(-1).
420
Let l = -6 + -144. Let q = -144 - l. What is the least common multiple of 18 and q?
18
Let y = -1695/746 + 4207033/1836652. What is the common denominator of y and -43/8?
9848
Suppose -9*s + 282 = -5*s + t, -74 = -s - 2*t. Suppose 24*l - 17*l = s. What is the lowest common multiple of 61 and l?
610
Let w be (2*4/(-2))/(-1). Suppose 6*c + w*b - 22 = 3*c, 46 = 5*c + 2*b. Calculate the least common multiple of 12 and c.
60
Let i(c) = 2*c**2 - 11*c - 17. Let j be i(7). Suppose x - 611 = 2*w - 5*w, j*x = w - 208. Calculate the lowest common multiple of w and 24.
408
Let p be ((-1)/(-2))/((-160)/66016). Let j = 210 + p. Calculate the common denominator of j and 73/15.
30
Let t be 4570/16 - 69/(-184). Let z be ((-24)/1692)/(t/(-36229)). Let f = z + -1/517. Calculate the common denominator of -13/6 and f.
78
Let z = -1921 + 1929. What is the least common multiple of z and 150?
600
Suppose -2*y = -l + 32, 17 = l - 4*y - 7. Let k = -100667 - -100687. What is the least common multiple of k and l?
40
Suppose 22*n = 21*n - 155. What is the common denominator of -45 and (-31)/n*(1190/(-4))/5?
10
Suppose -4*x = 5*n - 922, 10*n + 940 = 4*x + 6*n. Suppose -18*i + 19 = -x. What is the least common multiple of 350 and i?
350
Let t = -640 - -745. Calculate the least common multiple of t and (-2 - -22)/(15/45).
420
Let c = -409/5 + 168089/2055. Let f = -2437973/4460172 + 21139/2713. Let x = f - c. Calculate the common denominator of -26/21 and x.
84
Suppose -3*w + 37 = 2*n, -4*n + 56 = 2*w + 2*w. Suppose 1182 = 5*g + 135*s - 134*s, 0 = 5*g + 5*s - 1170. What is the smallest common multiple of g and w?
711
Suppose -2*a - a + 84 = 0. Calculate the least common multiple of (108/(-238) - (-96)/(-816))*-7 and a.
28
Suppose -2*n + 0*n = 128. Suppose w = 2*w - 2. What is the least common multiple of w and n/(-24)*(7/2 + -2)?
4
Let n be ((-4)/2)/(15/(-4680)*6). Suppose 0 = -7*v - 50 - n. Calculate the common denominator of 111/20 and v.
20
Suppose -4*i = -5*o - 3975, i - 1139*o = -1134*o + 1005. What is the lowest common multiple of 1100 and i?
9900
Suppose -9*r - 2 = -4*r + 4*n, 2*r - 3*n - 13 = 0. Let f = 48 + 40. Calculate the least common multiple of r and f.
88
Calculate the smallest common multiple of (-54016)/(-160) - 16/10 and 96.
672
Suppose 6663 = -z - a, -4*z - z - 33307 = a. Let m = z - -40075/6. Find the common denominator of m and 23/7.
42
Let y(o) = o**3 - 7*o**2 + 8*o. Let t(x) = 20*x - 60. Let d(b) = 21*b - 60. Let n(a) = 3*d(a) - 2*t(a). What is the smallest common multiple of n(4) and y(6)?
96
Suppose 1893 = 4*y - p, -11*p = -4*y - 7*p + 1908. Let q = y + -1831/4. Calculate the common denominator of q and -137/96.
96
Let a = 1244 - 123175/99. Find the common denominator of a and -43/81.
891
Let w = 3175579 - 66390470/21. Let x = -14132 + w. Find the common denominator of x and -13/42.
42
Let v(q) = -4*q**2 + 13*q + 19. Calculate the smallest common multiple of v(-1) and 17028.
17028
Let f = -180197/713064 + -228/2701. What is the common denominator of f and 131/594?
2376
Suppose -4*l - q + 130 = 0, 0 = -3*l - q - q + 95. Let j(r) = r**3 + 28*r**2 - 23*r + 198. Calculate the lowest common multiple of j(-29)