24*j. What is the smallest common multiple of j and 18?
54
What is the common denominator of ((-1243)/1100*-15)/((-2 + -2)*-9) and 137/2088?
20880
Suppose f = -x - 4*f + 8222, 4*f + 16430 = 2*x. Let r = -60624199/12 - -5060224. Let p = x - r. Find the common denominator of p and 15/134.
804
Suppose 5*w = -i + 420, w - 2*i - 45 = 28. Suppose 3*v - 4*y = 86, -5*v + 2*y = -65 - w. Calculate the smallest common multiple of 70 and v.
210
What is the common denominator of 7 - 5121/1665 - 5/(-10)*-8 and -46/3?
555
Let l = -11 + 16. Let x be 1/9 - 2250/(-162). Suppose l*q + x = 2*p, 2 - 6 = p + 3*q. What is the least common multiple of 10 and p?
10
Let h = -1542070 - -3108813277/2016. Calculate the common denominator of h and 19/273.
26208
What is the common denominator of -149/5460 and 8/(-16)*(-780)/72?
5460
Suppose 51 = 3*b - 153. Let t be ((-36)/(-270))/(b/(-2301)). Let i = t + 1/85. What is the common denominator of -3/2 and i?
2
Suppose -3*t = -d + 116, -4*d + 158 = -5*t - 320. Calculate the least common multiple of ((-18)/4)/((-3)/8) and d.
732
Let a(k) = k**3 + 72*k**2 - 153*k - 274. What is the least common multiple of a(-74) and 80?
480
Let r = 7/27088 - -133923037/135440. Suppose -5*o + 6*o - 995 = 0. Let a = r - o. Calculate the common denominator of -94/15 and a.
15
Let s(u) = u**2 + 9*u - 6. Let n be s(-10). Suppose n*i + i - x = 0, -3*i - 2*x = 0. What is the smallest common multiple of (i + (-9)/(-2))*24/18 and 18?
18
Let s(o) = -o**2 + 5*o. Let r be (-7 - -5) + -1 - -7. Let i be s(r). Suppose 73 - 41 = i*z. Calculate the lowest common multiple of 4 and z.
8
Suppose -4*x + 5*x + 5 = 0, x = -4*j - 13. Suppose -16*h = -175 - 17. What is the common denominator of j*141/h*1/(-6) and -49/44?
132
Let o(q) = -q**3 + 6*q**2 + 6*q + 24. Let v be o(7). Let u be (-53)/4 - 2/(-8). Let n = v + u. What is the least common multiple of 12 and n?
12
Calculate the common denominator of (-24 - (-16 - 9))*6/(-2900) and -101/6.
4350
Let n be (-44*(-3)/(-9))/((-14)/63). Let o = n + -60. What is the smallest common multiple of 2 and o?
6
Calculate the common denominator of (-14)/6 + (-42968)/(-15744) and 1/4 + (-389)/60.
240
Let o(i) = 13*i**2 + 17*i - 92. Let b be o(6). Let m = 487 - b. Calculate the smallest common multiple of m and 189.
189
Let n = -273223/15 - -83005/6. Suppose -5*d + 2*d = -f + 13112, 3*f = d + 4368. Let p = d - n. Find the common denominator of p and -121/12.
60
Let n = 1145476319971/688467990 + 1/3278419. Let g = n - 11624/7. Calculate the common denominator of -49/6 and g.
30
Let l = 13998 - 13720. Calculate the smallest common multiple of l and 2.
278
Find the common denominator of 36/1328*(-288)/252 and 57/913.
6391
Let m = -16343198/579674271 - -2/408509. What is the common denominator of 11/516 and m?
5676
Suppose 3*g - 10 = -0*g - 2*j, 0 = 4*j - 8. Suppose 4*a - 12 = g*q, -26 = -5*q - 6. What is the smallest common multiple of a and ((-9)/2)/(1/(-2))?
45
Let n = -737 - -475. Let g = 266 + n. Calculate the smallest common multiple of 10 and g.
20
What is the smallest common multiple of 10 and 96/24 + 1/4*4?
10
Suppose 8*v + 25 = 3*v. Let l(r) = -r**3 - 4*r**2 - 3*r + 2. Let z(q) = -9*q**2 + 117*q + 12. Calculate the least common multiple of l(v) and z(13).
84
Suppose 0 = 2*t + 5*p - 67, 40 = t + 4*p - 8*p. Suppose -61*v + 33 = -58*v. Calculate the lowest common multiple of t and v.
396
Let y = 581741/60 + -38801/4. Find the common denominator of y and 5 + (-130)/32 - 3.
240
Let n = -446015/94 + 4745. Let l = 32316 + -129189/4. Calculate the common denominator of n and l.
188
What is the common denominator of ((-572)/(-16) + -36)*((-4)/7)/4 and 166/120 + (-6)/(-15)?
420
Let c(n) = -n - 14. Let j be c(-17). Suppose 9 = 2*f + d, 2*f - 4 = j*d - 15. What is the smallest common multiple of ((-9)/((-45)/2))/(20/1150) and f?
46
Let k = -487692 + 34138471/70. What is the common denominator of k and -3 + 2 + 18/(-76)?
1330
Let a = -6543 - -52527/8. Let r = a + -23. Find the common denominator of r and -39/7.
56
Let h = -11678 + 12326. Calculate the smallest common multiple of h and 72.
648
Suppose 3*f - 255 = -267. Find the common denominator of 3020/(-840) - (-2)/f and -16/49.
147
Let a(i) be the third derivative of i**5/60 + 17*i**4/24 + 71*i**3/6 + i**2 + 4*i. What is the smallest common multiple of a(-6) and 30/6 + -3 + 1?
15
Suppose -5*w + 2034 = -451. Let y = w - 480. What is the lowest common multiple of y and 6?
102
Let q(x) = -x**3 - 41*x**2 - 68*x - 1118. What is the smallest common multiple of q(-40) and 532?
532
Let l = 8566 - 8031. What is the least common multiple of 214 and l?
1070
Let f = 10/25311 + -250431/337480. Calculate the common denominator of -89/440 and f.
1320
Let p = 229988/557479 + 1/54834. Calculate the common denominator of (20*(-374)/(-10560))/((-2)/(-9)) and p.
2928
Suppose -1072*u + 937*u + 238140 = 0. Calculate the lowest common multiple of 36 and u.
1764
Let k = -71596/123411 + -2/3981. Let s = -661/124 - k. Calculate the common denominator of s and -101/6.
12
Suppose -u + 22 = -2*j, 5*j + 52 = -2*u + 87. What is the common denominator of (-635)/1496 + 21/(2310/u) and -95/136?
136
Suppose -41*s - 715 = -52*s. Suppose c - 26 - 10 = 4*q, 0 = -5*c - 3*q + s. What is the lowest common multiple of c and 20?
80
Find the common denominator of (2898/2646)/(204/9) and 95/196.
3332
Suppose 2*p + 5*z - 29 = 4, 3*z - 15 = 0. Suppose 34*q - 504 = 20*q. Calculate the common denominator of 3/p*(-3)/(q/86) and 69/8.
8
Let t(s) = 16*s**2 + 5*s + 4. Suppose -1 = 2*o + 3. Let h be t(o). Let y = h - 55. What is the lowest common multiple of y and 15?
15
Let q = 2524 + -45443/18. Let z = -1176991/87 + 13529. Calculate the common denominator of q and z.
522
Let m(t) = -t**3 + 65*t**2 + 69*t - 170. Calculate the smallest common multiple of m(66) and 238.
476
Let c be 752/8 + 4/(-4). Let z = c + -83. What is the smallest common multiple of z and 38?
190
Suppose 12260 - 3335 = 5*r + 5*g, 2*r - 3555 = -5*g. What is the lowest common multiple of r and 1074?
5370
What is the least common multiple of 2900 and -9*(-7016)/216 + 14/(-6)?
2900
Let c(n) = -n**3 + 11*n**2 - 4*n - 13. Let j be c(5). Let m = j + -95. What is the lowest common multiple of 97/4 + (-1)/4 and m?
264
Suppose 38*a + 53*a - 4860 = a. Calculate the lowest common multiple of 612 and a.
1836
Let g(p) = -p**3 + 11*p**2 + 177*p - 18. Calculate the least common multiple of 3546 and g(-9).
3546
Calculate the lowest common multiple of 212 and -44 - -38 - (-100)/2.
2332
Suppose -4*y + 14 = -14. Suppose 0 = 2*j - 3*j - 1. Calculate the lowest common multiple of y and -50 + 47 + 12 + j/1.
56
Suppose -5*g = 2*l - 1 - 60, 2*l = -2*g + 46. Suppose -115 - 191 = -9*n. Calculate the least common multiple of l and n.
306
Find the common denominator of 64/9 and 1250/5191875*(12/9)/(2/72).
8307
Let q = 24/7387 + 252929/1728558. Let x = 1/5009 + -686245/60108. What is the common denominator of q and x?
468
Let j(c) = c**3 - 13*c**2 + 12*c - 5. Let l be j(9). Let x be -1*(l + 16/(-4)). Find the common denominator of 5/(x/249) + -4 and 32/33.
165
Suppose -13 = t + h - 5*h, -4*h = 4*t - 28. Suppose 0 = t*f + 2*w - 21, -w = 4*f - 8*f + 28. Calculate the least common multiple of 8 and f.
56
Suppose 26 - 4 = 11*m. Let j be 7 - (-1 + m - -1)/(-2). Let f(v) = -v + 18. Calculate the least common multiple of f(j) and 4.
20
Let a = 16639 + -299651/18. Find the common denominator of (81 + 1)*(-37)/(-444) and a.
18
Suppose -5*b = -16*b + 550. Calculate the smallest common multiple of 5/(15/6)*3775/b and 9.
1359
Let q = 1421321627659/17 + -8384168768624515067/100280518. Let v = 1/11941 - q. Calculate the common denominator of 9/20 and v.
4940
Suppose 7485 + 6893 = 53*n + 4626. What is the least common multiple of 736 and n?
736
Suppose -3*i + 7*t + 2 = 8*t, 5*i - 6 = -t. Let r(v) = -v**3 + 4*v**2 - 2*v + 2. Let a be r(i). What is the common denominator of (-10)/a + 70/(-35) and -3?
3
Let h = 9157307/132 + -69374. What is the common denominator of 2271/(-288) - 1/1 - 15*116/(-174) and h?
1056
Let c be (-50)/48*1 - (-110)/(-132). Let b be (-2)/((352/349)/(-2)). Let u = b + c. What is the common denominator of u and 61/10?
110
Let a = -7945025/52377 + 11990/79. What is the common denominator of 1