0
Suppose q + 72 = -23. Suppose 96*i = 92*i + 3*w + 466, 0 = 5*i + w - 573. Let z = q + i. Calculate the smallest common multiple of 45 and z.
180
Let y = 246901 - 9134365/37. Let r = y + -64243/2368. Calculate the common denominator of r and 45/8.
64
Let y(o) be the second derivative of o**4/12 + 7*o**3/3 + 16*o**2 + 13*o. Calculate the least common multiple of 0/(-1 - 1) + 14 and y(-12).
56
Let g be (-126)/(-33) + 42/231. What is the lowest common multiple of (-18)/27*(-1050)/g - 3 and 18?
1548
Suppose 2*h - 74 = -4*i, 2 = -4*h + 6. Let r be (10/(-4))/((-10)/100). Let q = 34 - r. Calculate the lowest common multiple of q and i.
18
Let t be 6/(-33) - (-325723)/(-110). Let v = t + 2949. Let c = -1767 - -6983/4. Calculate the common denominator of c and v.
20
Let p(l) = 3*l - 17. Let n be p(6). What is the common denominator of -101/18 and n + ((-297)/48)/(-9)?
144
Let s = -6166 - -49405/8. Let b = 28644 + -18246234/637. Let h = 7055/5096 + b. Calculate the common denominator of s and h.
8
Let d = 47 + -23. Let m be (-40)/(-10) - d/2. Calculate the common denominator of 27/2 and m/4 + (-485)/90.
18
What is the lowest common multiple of 180 and (-132)/(-286) - ((-168432)/13)/8?
1620
Let u = -2877 - -4093. What is the smallest common multiple of 384 and u?
7296
Let v = 997 + -970. Calculate the lowest common multiple of v and 10.
270
Suppose 705 = 3*v - 2*v. Let s = -3638 + 5793/2. Let n = s + v. What is the common denominator of n and 73/6?
6
What is the common denominator of 55/4694 and ((-68)/(-8) + -5)/(12/(-18))?
9388
Let t be 2298/45*(-5)/(-4). Let f be ((-3)/(-9))/(13/1222). Let l = f - t. Find the common denominator of 91/88 and l.
88
Calculate the common denominator of (-10)/(-35) + 95980/(-87696) + 6/8 and -17/297.
8613
Suppose 1519 = 5*d - 5*h - 926, 1931 = 4*d + h. Let u = d + 420. Calculate the lowest common multiple of 6 and u.
2712
Let t = 87105/22 + -10092025/2552. Let j = -62/29 + t. What is the common denominator of ((-27)/(-16))/(-3) + -1 and j?
16
Let l = 35382 - 1379824/39. What is the common denominator of 1041/315 - (-3)/5 and l?
273
Let n be 5/((-35)/1736) - -7. Let x = -238 - n. What is the lowest common multiple of x and 20?
60
Let x be 8/2 - (-5787)/(-1449). Let t = 4989/322 + x. Calculate the common denominator of t and -48/73.
146
What is the common denominator of 47/144 and 10/(-4) + (-8735)/(-675) + -10?
2160
Let z = -4/763 - 6323/103768. Find the common denominator of z and 93/20.
680
Let p(r) = -100*r + 206. Suppose 5*q - 2 = 28. Suppose -4*t + 3*f = -11, 5*t + 3*f - 1 = q. What is the least common multiple of t and p(2)?
6
Suppose -4*k + 1524 = 5*w - 5*k, -5*w + 1440 = -15*k. Calculate the least common multiple of w and 204.
612
Suppose 0 = -5*p + 6 + 4. Suppose p*v - 117 = -x + 77, -3*v - 743 = -4*x. What is the least common multiple of x and 20?
940
Let u be 6/8 - (-629)/68. Suppose 42 = 4*m - i - 0, 5*i - u = -2*m. Calculate the least common multiple of m and 110.
110
Let i = -118 - -123. Suppose -i + 8 = -3*y. What is the common denominator of 32/77 and (y/(-3))/((-40)/615)?
616
Suppose -4*p = t - 414, -10*t = -9*t - 5*p - 423. Let l = 450 - t. What is the smallest common multiple of 4 and l?
32
What is the common denominator of (-1 - (-3017)/(-616) - -5)*-2 and 65/44?
44
Let b(k) = -4*k**2 - 3*k**2 + k + 47 - 3 + k**3 + 0*k**3. Calculate the least common multiple of 119 and b(7).
357
Let t(k) = 10*k**2 - 2*k - 2. Suppose -50 + 176 = -3*w. Let j = -34 - w. Calculate the smallest common multiple of j and t(-1).
40
What is the common denominator of -37/670 and (-2316)/184 - (1 + -14)?
15410
Let r(w) = w**2 - 20*w - 493. What is the least common multiple of 48 and r(-15)?
96
Let v = 119687/30 + -35920/9. Find the common denominator of v and (-76)/28 + 3 - 3340/(-168).
90
Let u = 3029 - 2641. Calculate the smallest common multiple of u and 18.
3492
Let t = -25745579492 + 229444602325017/8912. Let j = -1/8912 + t. Let i = 270 + j. Calculate the common denominator of i and -55/18.
18
Let g(z) = z. Let p(y) = 32*y**3 + 5*y**2 + 4*y + 7. Let a be p(-3). Let h = -823 - a. Calculate the least common multiple of g(7) and h.
7
Suppose 5*f - 59 = -4*r + 65, 0 = 2*f + r - 46. Calculate the lowest common multiple of f and 2.
20
Suppose -2*l - 1 = -3*l, 2 = 4*x + 2*l. Let f(z) = -z**2 + 2*z + 218. What is the lowest common multiple of f(x) and 12?
1308
Calculate the common denominator of (-2)/10 - 1169/70*-1 and -17/31.
62
Let u = 27071/72240 - 37/430. Find the common denominator of 125/744 and u.
10416
Suppose 3*d - 2 = 4*v, -5*d = -v - 4*v. Let c(x) = 8*x**2 - 24*x + 24. Calculate the least common multiple of 8 - 4/d*2 and c(4).
168
Let u(d) = -d**2 - 7*d - 6. Let n be u(-6). Suppose 6*l - 123 - 201 = n. What is the lowest common multiple of l and 36?
108
Let l = 143 - 81. Suppose 0 = 3*o + 5*p - 62, 4*p + l + 66 = 5*o. Calculate the smallest common multiple of o and 78.
312
Let a = -5920 - -5960. What is the lowest common multiple of a and 2600?
2600
Let p(h) = -h - 26. Let c be p(-30). Suppose c*w - 2*w - 5*j - 90 = 0, -w + j + 45 = 0. Calculate the lowest common multiple of w and 55.
495
Suppose -10 + 33 = 4*k - 13. Calculate the smallest common multiple of 39 and k.
117
Let a be -20 - -4447 - ((-2)/(-1) - 1). Let i = a + -172567/39. What is the common denominator of 23/3 and i?
39
Let l = -86 + 85. What is the common denominator of l/(-8) - 147/88 and (21/4)/(255/34)?
110
Find the common denominator of (4/(-650))/(56/1190) and (-80)/70*(-25)/65.
910
Suppose -2*l + 2*c - 4*c = 2*c - 120, -c = 0. What is the smallest common multiple of 2280 and l?
2280
Let t be (8/(-10))/((-1)/(-5)). Let s = 628 - 638. What is the least common multiple of 8 and (30/(-25))/(t/s) + 6?
24
Suppose -229*q = -170*q - 2016 - 9784. Calculate the smallest common multiple of q and 1664.
41600
Let z = 15960844/281 - 56800. Calculate the common denominator of -121/10 and z.
2810
Let a = -770081/40 + 19253. What is the common denominator of a and 111/6*20/(-200)?
40
Let w = -177 - -165. Let v = -24473/6 - -4061. Find the common denominator of (1075/(-180) - -2) + (-3)/w and v.
18
Let h(p) = p**3 + 8*p**2 + 6*p - 2. Let o be h(-7). What is the smallest common multiple of (-356)/(-20) + 1/o and ((-3)/(-2))/(0/(-28) + 6/16)?
36
Let c = 2/45065273 - -233810926845/180261092. Let u = -1297 + c. Calculate the common denominator of u and 97/52.
572
Let w = 2515/42 + -509/7. Let r be (16 + 2)*24*-3. Let m = -6456/5 - r. Calculate the common denominator of w and m.
30
Suppose 5523 - 5283 = 5*j. What is the lowest common multiple of 712 and j?
4272
Let u be (-3)/((-3)/(-9)*18/52). Let y = u + 66. Suppose 0 = -4*c + 8*c - y. Calculate the lowest common multiple of c and 42.
210
Let h be (60061/(-2))/(95/19). Let g = h + 6000. Let d = 889/5 + -5029/30. Find the common denominator of g and d.
30
Let l(r) = 2*r**2 - r + 4. Let c(v) = v + 13. Suppose 0 = -8*n - 121 + 33. What is the least common multiple of c(n) and l(-3)?
50
Let w(j) = 157*j**3 - 3*j**2 + j + 1. What is the least common multiple of 234 and w(1)?
468
Suppose -367*l + 369*l - 4*j = 1532, j = 2*l - 1511. What is the lowest common multiple of l and 20?
3760
Let v = -453 - -446. Calculate the common denominator of ((-2)/4)/((-3)/41) and ((42/26)/v)/((-5)/15).
78
Let c(k) be the third derivative of k**6/120 + 2*k**5/15 - k**4/2 - 7*k**3/6 + 35*k**2 - 3*k. Calculate the least common multiple of c(3) and 32.
224
Let y = 7593/10 + -757. Let f be (51/(-210))/(28/(-470)). Let a = f + -16/49. Find the common denominator of a and y.
20
Let y be (-5)/(-170)*4 + 4/(-34). Let g be (-1)/(-2) + (-2)/4. Suppose g = -y*j + 3*j - 5*r - 33, r = j - 11. Calculate the smallest common multiple of 2 and j.
22
Suppose 5*u + 12 = 27. What is the smallest common multiple of u and ((-1)/(-3))/((-63)/(-945))?
15
Suppose -3*w - 2*w = 3*d - 14, -4*d - w = 4. What is the common denominator of -107/20 and d/((-128)/(-178))*2?
80
Suppose -40*p = -19*p + 20*p - 2132. Calculate the smallest common multiple of 78 and p.
156
Let l(i) = i**3 - 15*i**2 + 11*i + 46. Let g be l(14). Suppose -g*a - 180 = -244. Calculate the lowest common multiple of 36 and a.
144
Let t(v) = v + 1. Suppose -4*o + 27753 = -33*o. Let p = o - -1139. Calculat