48 = 0. Calculate the smallest common multiple of 15 and j.
28605
Let l(q) = q**2 - 15*q - 26. Let i be l(17). Find the common denominator of i/(-448)*-2*(-106)/(-4) and -7/3.
168
Suppose 0*g + 5*g = 4*c - 1, -8 = -2*c + 4*g. What is the common denominator of (-1383)/378 - c/(-21) and (-5058)/(-432) - 1/(-8)?
18
Let d = -783688/3 - -272490. Let x = d + -1283401/114. What is the common denominator of x and 111/22?
418
Let l(x) = 2*x + 44. Let a be l(-20). Suppose 0 = -4*m + 5*t + 98, -5*m - a*t + 106 = -2*t. What is the smallest common multiple of m and 14?
154
Let o = 40724265/268 + -151956. What is the common denominator of 17 - (99/(-363) + (-27036)/(-1848)) and o?
1876
Let p = -1255935876859/450 + 2790969916. Let s = 11725/9 - p. Find the common denominator of s and 61/50.
50
Let y(q) = -8*q - 7. Let j be y(-6). Suppose -j = -3*u - a + 20, 2*a + 88 = 4*u. Calculate the smallest common multiple of u and 30.
210
Find the common denominator of 2 - (7 + 1337/(-140))*4/(-6) and 77/258.
1290
Let w = -710729/7 + 101852. Let r = 127220/399 - w. Let j = -228068/15 + 15210. Find the common denominator of j and r.
285
What is the lowest common multiple of 651 and -48 + 2001 - (-7)/14*0/(-2)?
1953
Calculate the common denominator of 15/55*(3/(-8) + 63/(-728)) and 27/169.
1859
Calculate the common denominator of -22/405 and ((-14)/((-224)/264))/((-1638)/(-112)).
5265
Let y = 89863/5 - 17984. What is the common denominator of -1/1226 and y?
6130
Suppose 25*s - 30 = 22*s. What is the smallest common multiple of s and (-65)/26 - 4/(32/(-36))?
10
Let t = -29777/24 + 2489/2. Calculate the common denominator of t and (-2)/(-3) - (-9723)/(-108)*168/10192.
312
Let u(d) = d**3 - 3*d**2 - 22*d + 53. Calculate the smallest common multiple of u(2) and 617.
3085
Suppose 4 = h, -3*h - 9 = -5*x + 4. Suppose 5*k + 2*f - 10 = 7*f, -k - x*f = 16. What is the smallest common multiple of 46 and (-1)/3 - (64/(-12) - k)?
92
Let r = 8 + 195. Let d = 10/723 + 52619/11568. Calculate the common denominator of (r/14)/(18/(-10)) and d.
144
Suppose 2*t + 7*t - 27 = 0. Suppose 4*s + t*b - 34 = -s, 0 = -s - 4*b. Let n = -4 + 15. What is the least common multiple of n and s?
88
Suppose -20 = -5*g - 40. Suppose 0 = 2*q - 3*q - 6. What is the common denominator of 59/6 and (78/(-135) + 3)*q/g?
30
Calculate the smallest common multiple of 17 - -25*14/70 and 28.
308
What is the common denominator of (-203)/3248*101/(-2) and -47/24?
96
Let g(i) = 2*i**3 - 41*i**2 + 19*i + 26. Let x be g(20). Suppose 1057 + 407 = x*q. What is the least common multiple of q and 8?
488
Suppose 38*i = 22*i - 2016. Let v = i - -129. Calculate the smallest common multiple of (-1)/(-1)*2*11 and v.
66
Calculate the lowest common multiple of 880 and 195/(-15) + (-5661)/(-9).
6160
Let d be 16 + (-434)/(-105) + 4/(-30). Suppose -4*m + d = 0, 5*c + 0*m + 5*m = 160. Calculate the least common multiple of c and 33.
297
Suppose 8490 + 1338 = 9*u. Suppose 7*c + u = 3*c. What is the least common multiple of 4 and (4/3)/(1 + 266/c)?
52
Let t(d) = -4*d**2 - 702*d - 381. Calculate the smallest common multiple of 27 and t(-174).
5967
Suppose -10*r + 1174 = -r - 482. Calculate the smallest common multiple of r and 1932.
3864
Let n = 1265059/40 + -31629. Let t(f) = 15*f - 216. Let d be t(66). Calculate the common denominator of 5*1 + d/(-36) and n.
40
Let l = 7068 + -98999/14. What is the common denominator of l and 28/25?
350
What is the lowest common multiple of (6 - (-1 + 5)) + (-9 - -179) and 473?
1892
Let f(m) = -m - 15. Let y be f(-11). What is the lowest common multiple of (y + 0)*((-35)/4 + 6) and (1/(-2))/((-2)/20)?
55
Let p = 11/17 - 235/153. Calculate the common denominator of p and 234/(-81) + (-1 - -3).
9
Let i(t) be the third derivative of -t**4/24 - 3*t**3/2 - 24*t**2. Let f be i(17). Let g = f - -40. Calculate the smallest common multiple of g and 20.
140
Let h = -279 + 405. Suppose s - 156 = -5*l - s, -4*l - s = -h. Calculate the lowest common multiple of 32 and l.
32
Suppose -5*m = 82 - 602. Suppose 5*g - m = -3*r, 0 = g - 5*r - 34 + 2. Calculate the least common multiple of 11 and g.
22
Suppose -241 = -5*a + u, -54*u + 59*u = 2*a - 101. Find the common denominator of 47/(-94) + (-95)/a and 83/4.
48
Let m = 1798531/108 - 16652. Calculate the common denominator of m and 73/108.
108
Suppose 6*v - 2*v + 352 = 0. Let g = -2331/5 - -478. Find the common denominator of v/6*(-20)/16 and g.
15
Let d be (-18)/((24/15)/4). Suppose -83 + 77 = -b. Calculate the least common multiple of ((-24)/(-30))/((-2)/d) and b.
18
Let p(q) = q**2 + 2*q + 13. Let o be p(-12). Let s = o - 190. Let h = s - -104. What is the lowest common multiple of h and 7?
329
Let v = -296331 + 114087357/385. Calculate the common denominator of v and -2/2695.
2695
Let i = 143449/6 - 23920. Calculate the common denominator of -65/42 and i.
42
Let c be (-140)/(-6)*((-82)/5 - -2). Let r = 168 - c. Calculate the common denominator of 2/9 and (-1718)/r + 2 - (-4)/(-14).
36
Suppose 0 = -4*w + 238 - 70. Let b = -46709 + 46725. Calculate the smallest common multiple of b and w.
336
Suppose 3*j + 96 = 7*j. Suppose 8*s + 467 - 491 = 0. Suppose 4*q = -t + 16, s*q + 39 + 44 = 4*t. Calculate the smallest common multiple of t and j.
120
Let g = -32 - -57. Suppose 2*n + 7 = g. Let q = n - 1. Calculate the least common multiple of q and 6.
24
Let z = -35392 - -35606. Calculate the least common multiple of 118 and z.
12626
Let s = 323163/1652504 + -226/1283. Find the common denominator of s and 39/560.
12880
Let p = 4550 - 9163/2. What is the common denominator of -23/164 and p?
164
Let s(m) = -140*m - 1. Let v be s(1). Let y = v + 145. What is the smallest common multiple of y and 31?
124
Let t(f) = -f**2 - 13*f - 34. Let q be t(-8). Calculate the least common multiple of 5 and 1*(-2)/q*-33.
55
Calculate the smallest common multiple of -3 + -9 + 6 + (-20)/(-2) and 2286.
4572
Suppose -21*o = -57*o + 324. Calculate the smallest common multiple of 171 and o.
171
Suppose -23*g + 111 = 61 - 180. Calculate the lowest common multiple of 2518 and g.
12590
Let o = 29 - 24. Suppose -o*p = -8 - 2. Suppose 0 = p*n - z - 4*z + 11, 0 = n - 5*z + 13. What is the smallest common multiple of 14 and n?
14
Let v = -13 + 2. Let x = v + 29. Let k = 23928 - 23895. What is the smallest common multiple of k and x?
198
Let t(p) = -2*p**2 - 10*p - 10. Let o be t(-1). Calculate the common denominator of -109/532 and 100/6 - 1/o.
1596
Let h(i) = -i**3 + 38*i**2 - 328*i - 369. What is the smallest common multiple of 11 and h(23)?
22
Suppose -2*l + 2*f + 266 = 0, 0 = -l - 0*f - 3*f + 141. Let t = 161 - l. What is the least common multiple of t and 16?
208
Suppose 10*f - 4*f = -90. Suppose 350 = 3*c + 2*c. What is the common denominator of 0 - (10/f)/(8/c) and 41/2?
6
Calculate the lowest common multiple of (-25)/((-175)/(-14))*(-90)/4 and 585.
585
Suppose -r - 5*d + 43 = r, -5 = 5*d. Let c = 49077/10 + -4902. What is the common denominator of c and (-269)/r + 8/(-12)?
40
Let b(f) = 30*f + 50. Let i be b(11). Let a = i + -379. Suppose -3*l + 2*y - 7*y = -13, 0 = -2*l + y. Calculate the smallest common multiple of a and l.
1
Let n = 103 - 94. Calculate the lowest common multiple of n and 286.
2574
Let n(z) = 58*z + 6. Let p be n(2). Suppose -4*w + 197 = 2*d + d, 2*d - 2*w = p. Suppose -d = -8*c + 33. What is the least common multiple of c and 40?
120
Suppose -2*u + 183 = -3*l - 579, 1544 = 4*u + 4*l. What is the lowest common multiple of u and 7?
2688
Let j be ((-18)/4)/((-4344)/(-4311) + -1). Let a = j + 588. What is the common denominator of -127/6 and a?
66
Let d be 10/2 + 5 - 6. Let f be (-2)/(-4)*-27*-6. Calculate the common denominator of -97/36 and (f + 1)*-4*d/256.
72
Let y be 17 - (-1 + (0 - 2)). Suppose -3*s = -2*t + y, 0 = 5*t + s - 13 - 3. Suppose t*z = i + 25, i + 0 = -1. What is the smallest common multiple of 34 and z?
102
Calculate the common denominator of -61/8436 and 1001/143 - ((-1115)/(-198) + (-6)/27).
92796
Let m = -68 - -41. Let h = m + 33. Suppose -v + h = 4. What is the lowest common multiple of v and 1?
2
Let u = -220651/20 - -11028. Calculate the common denominator of -3/58 and u.
580
Suppose 2*f - 3*f = -w - 462, 0 = -4*f - 3*w + 1827. Suppose 4*o = 28 - 0. What is t