3857. Calculate the smallest common multiple of 1 and j.
133
Let h be (50/35)/(2 - (-45)/(-21)). What is the lowest common multiple of 90 and 120/21 + (-2)/70*h?
90
Let d = 681 - 586. Calculate the smallest common multiple of d and 510.
9690
Let l = 536 - 473. What is the common denominator of 6/l - 1066/462 and -37/132?
132
Let v = -944219/30 - -31478. Find the common denominator of (-2)/(-11) - 0 - 7168/3850 and v.
150
Let v = 57/193 + 465025/2316. Let w = v - 201. Find the common denominator of w and 107/40.
120
Suppose 37944 + 2225 = 62*i - 6889. What is the smallest common multiple of i and 92?
3036
Let n(f) = 6*f - 20. Let b be n(4). Suppose -s - 7*d + 19 = -b*d, -d = -2*s + 31. Let m(c) = c + 17. What is the least common multiple of m(-9) and s?
16
Let b be (-3)/(((-77)/252)/11). Suppose 0 = 28*w - 312 - b. What is the lowest common multiple of w and 50?
150
Let c = 22093762141/4452 + -4962660. What is the common denominator of 131/12 and c?
4452
Suppose 2*f - 84 = 2*l, f - 91 = 4*l + 86. What is the smallest common multiple of 40 and ((-60)/l)/(-1*(-2)/120)?
80
Let a = -865 - -210. Let b = 658 + a. Calculate the least common multiple of b and 57.
57
Let x(t) = t**3 + t**2 - 2*t + 3. Let i be x(0). Suppose -17 = 5*u - 6*u + i*k, 0 = -5*k - 25. Calculate the smallest common multiple of u and 12.
12
Let o(v) = -45*v + 348. Let s be o(23). Let j = -652 - s. What is the least common multiple of 30 and j?
210
Let j(h) = 2*h - 8. Let v be j(6). Suppose 2*l = v*l - 8190. What is the common denominator of -81/2 and -1 + (l/40)/9?
8
Let r be 4/(-1) - (-2)/2. Let c = 1681/92 + -12/23. What is the common denominator of c and ((-452)/40 - r) + 2?
20
Let q = -146612924/483 + 607093/2. Calculate the common denominator of -151/12 and q.
1932
Suppose 530*t - 534*t = -c + 176, 2*c + 3*t - 253 = 0. Let p = -145 + 257. What is the least common multiple of p and c?
560
Let o(j) = -21*j + 924. What is the lowest common multiple of 38 and o(38)?
2394
Calculate the common denominator of -149/168 and (19647/10878)/((-54)/21).
168
Let n = 33/178 - 2837/10502. Suppose 5*z - 74 = -40 + 11. Find the common denominator of n and z.
59
Let c be (0 - (-151054)/22)/(-26). Let a = -5940536/13 - -456702. Let i = a - c. Calculate the common denominator of i and -25/2.
22
Calculate the common denominator of (-1700)/(-32640)*((-49)/(-4) - 1) and -61/32.
128
Let x = 95/14 - 9/7. Let o = -273793/5 - -54747. What is the common denominator of o and x?
10
Let o(z) = 2*z**2 - 13*z + 6 - 5 + 7. Let t be o(6). Suppose m + 3*m - 1 = 3*g, -5*g = -t*m - 17. What is the least common multiple of 1 and g?
5
Let f = -24 + 4. Let q(h) = 35*h**2 - 32*h - 33. Let z be q(-1). Let a = f + z. Calculate the smallest common multiple of 8 and a.
56
Let r(j) = -j**3 + 11*j**2 + 55*j - 630. Calculate the lowest common multiple of 953 and r(8).
1906
Suppose 10*f = 24*f - 56. Suppose 2*j + 86 = f*z, -6*z - j + 97 = -z. Let l = -25 - -39. What is the least common multiple of z and l?
140
Let i = 6263 - 125189/20. Calculate the common denominator of 23 + (-466)/20 + (-35)/2425 and i.
1940
Let w = 159 - 63. Let x = w - 80. Calculate the least common multiple of 258 and x.
2064
Suppose -18 = 305*l - 312*l - 4. Calculate the smallest common multiple of l and 124.
124
Let m = 8556 - 171121/20. What is the common denominator of m and -31/80?
80
Let t = 15153/5138143807 + -1196689297895777387/238286557193432. Let k = t + -3773/4216. Let p = k + 5018. Calculate the common denominator of p and -83/4.
44
Let z = 236 + -1411/6. Calculate the common denominator of (-3842)/20043 - ((-40)/18 - -2) and z.
786
Let a = 1/7096 + 219971/35480. Find the common denominator of 23/8 and a.
40
Suppose 9*i + 3 = -6. Let b be (9 - 1/1)/(i/(-2)). Suppose 4 = -3*g + b. Calculate the lowest common multiple of 20 and g.
20
Let a = -82160/27 - -3045. Calculate the common denominator of 163/1620 and a.
1620
Let w be (31024/36)/((-198)/(-12)). Let y = 1330/27 - w. Let d = y - -3083/627. Calculate the common denominator of 74/9 and d.
171
What is the common denominator of (3 - 58/5)/(30/(-40)*4) and 11 + -7 + (-41)/3?
15
Let n be ((-37)/104)/((-146)/(-49) - 3). Let y = -381/13 + n. Calculate the common denominator of (1064/12)/(7 + 1) and y.
24
Suppose w + 1 = 0, 0*s = -s + 4*w + 7. Let c = s - -10. What is the least common multiple of 3 and c?
39
Suppose 17*b - 611 - 248 = 467. Calculate the smallest common multiple of 87 and b.
2262
Suppose 10*n - 4682 = 5505 + 5593. Calculate the lowest common multiple of 36 and n.
9468
Let a = -50 - -84. Suppose -3*x - 77 = -s, -153 = -2*s - x - a. Suppose s = 5*i - 2*q, 2*i - 2*q = i + 14. Calculate the smallest common multiple of 6 and i.
12
Let y = -10118407/407 - -24861. Find the common denominator of y and 67/55.
2035
Let t = 94420 - 763343/8. Let n = -87529/88 - t. Find the common denominator of n and 77/2.
22
Let h(y) be the first derivative of y**3/3 - 88*y + 39. Calculate the lowest common multiple of h(10) and 30.
60
Let l be -31 + -2063 - (-6)/(-1). Let j = l + 33663/16. What is the common denominator of 59/74 and j?
592
Calculate the common denominator of -27/2905 and (-18)/(-3 + -6) - (-923)/(-195).
8715
Suppose 5*g = 5*m + 55, -4*m + 7 = g + 26. Calculate the lowest common multiple of 1556 and g.
7780
Let d(r) = 4*r + 2. Suppose -2*t = 4*j - 282, -j - 2*t - 28 = -100. Calculate the common denominator of d(5) and 232/(-54)*j/140.
27
Suppose -4*x - 2*w - 48 = w, 0 = -3*w. Let v = -11/7211 + 1262717/519192. Let z = -14/9 + v. Calculate the common denominator of z and x.
8
Let f = -13905/4 - -10414857/2996. Let o = 43469/6741 - f. Find the common denominator of (1 + 10/(-12))*(-665)/190*-11 and o.
36
What is the common denominator of (-1644)/296 + 8 + (-6 - -3) and 35/481?
962
What is the smallest common multiple of (107 - -673)*4/3 and 520?
1040
Calculate the common denominator of (1024/(-208) - -9)/11 and -31/572.
572
Suppose 3*c - 1251 = -4*w, 0 = -8*w - 8*w + 4*c + 4924. What is the smallest common multiple of w and 1133?
3399
Let x(c) = -c**2 - 10*c - 11. Let h be x(-7). Let r be (24/h)/(12/210). Calculate the common denominator of ((-13)/234)/(8/r) and 50/9.
72
Let w be -30 - (2 - 11)/3. Let p be ((-6)/w + (-4)/18)/1. Suppose p = u - 3*u + 3*q + 31, 4*q + 4 = 0. What is the smallest common multiple of u and 34?
238
Let l(u) = 24*u**3 - 2*u**2 - 17*u + 23. What is the least common multiple of 6 and l(2)?
1038
Let y = 214 - -580. Calculate the least common multiple of 16 and y.
6352
Let c be (-20)/(-4) - (-327)/(-3). Let n = 108 + c. What is the common denominator of -5/27 and (480/594)/(n/6)?
297
Let q = 164 - 373. Let o = -367/2 - q. What is the common denominator of (((-22)/(-20))/(-11))/((-2)/(-119)) and o?
20
Let c(a) = a**3 + 37*a**2 - 13*a**2 - 2*a - 5*a**2 + 3*a + 65. What is the lowest common multiple of c(-19) and 18?
414
Let t = -2415187/30 + 80503. What is the common denominator of (-22)/8*(-44)/(-42) and t?
210
Suppose -583*h - 3*d - 832 = -587*h, -5*h + 1040 = d. What is the least common multiple of 3458 and h?
27664
Suppose 5*w - 463 = x + 4*w, 2*x - 3*w = -924. Let t = x - -501. Calculate the smallest common multiple of 84 and t.
252
Let l(q) = -q**3 + 23*q**2 - 48*q + 36. Let x be l(21). What is the common denominator of -81/1858 and (-1142)/280 - (6 + x/14)?
18580
Find the common denominator of 11 and 157/(((-25)/((-700)/72))/((-6)/(-364))).
156
Suppose 4*y = -2*d + 38, -50*y + 55*y - 65 = -5*d. What is the lowest common multiple of d and 347?
2429
Let p be ((-6)/(-8))/(15/60). Suppose 16 = 3*w - w. Calculate the least common multiple of w and p/1 - 1 - -2.
8
Suppose -116 = -16*r + 252 - 80. What is the lowest common multiple of r and 180?
180
Let d(x) = x**3 - 5*x**2 + 2*x + 5. Let z be d(4). Let g(o) = -o**3 + 5*o**2 + 68*o + 32. Calculate the smallest common multiple of g(-6) and (-4)/z*27/2.
180
Let o = 358628468 + -14344336263/40. Let n = o - 20060. Calculate the common denominator of 101/112 and n.
560
Calculate the common denominator of (1/9)/((-77)/2577) + 15 + -11 and 145/168.
1848
Find the common denominator of (-7)/(7/16)*(-71)/(-994) and ((-2)/(-90))/(2/635).
126
Find the common denominator of -13*(-2)/168 - 2 and 1*(-2)/12*((-158550)/(-120))/151.
16