619/20 - -15575. Find the common denominator of v and j.
300
Suppose -5*t = 5*i - 25, t - 5*i - 2 = -3. Suppose -3 = -3*k, 7*v - 4*v - 58 = -t*k. What is the smallest common multiple of v and 18?
18
Let y = 5/402 - -4180/603. Let i be 33736/90*111/19832. Let b = -85/67 - i. What is the common denominator of y and b?
90
Suppose -5*f + 24 = -2*f. Suppose -4*k - 156 = -f*k. Let c(w) = -5*w**3 - 3*w**2 - w - 3. What is the least common multiple of k and c(-2)?
351
Suppose -4*g = 13*g - 306. Suppose 11*p = g*p - 336. Calculate the lowest common multiple of p and (-6)/(-8)*(-8)/(-2).
48
Let w(q) = 2*q**3 + q**2 + 23*q - 11. Let c be w(-10). Let a = c + 3913. Let n = -7149/4 + a. Find the common denominator of n and -23/14.
28
Let a be (-112)/(-42)*3/(-2). Calculate the smallest common multiple of (-476)/(-48) + a/(-48) and 2.
10
Suppose 5*t = -2*u + 4863, -17*u + 13*u - 24 = 0. Calculate the lowest common multiple of 91 and t.
6825
Let z = 1/920 + 911/8280. Calculate the common denominator of -1 + 44/96 + -3 and z.
72
Let u(q) = 4*q - 36. Let y be u(7). What is the common denominator of (-16)/y - 3/16 - 3 and 89/30?
240
Let y(a) = -3*a**2 + 203*a - 1023. Calculate the lowest common multiple of 176 and y(62).
5456
Let q(y) be the first derivative of y**4/4 + 8*y**3/3 + 5*y**2/2 - 18*y + 35. Calculate the least common multiple of 69 and q(-6).
552
Suppose -886 = -11*m + 654. Suppose -4*c + m = 2*d, 5*d - 5*c - 424 + 104 = 0. What is the smallest common multiple of 36 and d?
396
Let f = -778 + 469. Let a = -205 - f. Calculate the lowest common multiple of 6 and a.
312
Let q be -8 - (-8)/((-12096)/(-334086)). Let c = -1494/7 + q. Calculate the common denominator of c and 51/20.
180
Suppose -m = -4*q + 337, 5*q + 4*m = 36 + 380. Suppose -128 = 5*y + 4*n, 5*y - 5*n + 71 = -q. Let j = 36 + y. Calculate the least common multiple of 12 and j.
24
Let p = -287 - -372. Suppose p*w - 114*w = -1276. What is the smallest common multiple of 40 and w?
440
Let n = -7780 + 7805. Calculate the lowest common multiple of n and 33.
825
Suppose -107 + 26 = -9*y. What is the common denominator of ((-8)/704)/(y/(-1644)) and 139/18?
198
Let p(s) = 4*s**3 - 9*s**2 + 6*s + 4. Let i(k) = k**3 - 37*k**2 + 2*k - 71. Let y be i(37). What is the least common multiple of 8 and p(y)?
392
Let f = 1829 + -1519. Calculate the smallest common multiple of f and 93.
930
Let v = 2 - -5. Calculate the smallest common multiple of v and -6 - 114*22/(-33).
70
Suppose 4*y = b - 18, -2*b - 4*y + 16 = -7*y. Calculate the common denominator of (-6)/4*(-40)/930 and b - -1*(-505)/50.
310
Calculate the lowest common multiple of 331 and 2*((-156)/8 + 2)*(-36)/126.
3310
Let b = 460841 - 206456665/448. Calculate the common denominator of -105/22 and b.
4928
Let x = 21007347/344 - 61068. Calculate the common denominator of -97/172 and x.
344
Suppose -163*b + 71067 = 15158. What is the smallest common multiple of 98 and b?
686
Suppose q + 7 = 3*r + 2*q, -2*r = 4*q - 8. Suppose -r*n + 2*x - 66 = 0, n - 4*x + 31 = -x. What is the common denominator of (-3)/(30/n)*1 and -21?
5
Let d = 43 + -25. Suppose 52*z - 29173 = 987. What is the lowest common multiple of d and z/18 + 2 + 36/(-162)?
306
Suppose -5*q = 5*j - 85, 0 = 3*q + q + 3*j - 73. Calculate the lowest common multiple of q and 7 + 9 + -27 + 16.
110
Let x(l) = 16*l - 11. Let y be x(8). Suppose 2*z = -7*z - y. Let g = 90/7 + z. What is the common denominator of 73/6 and g?
42
Suppose -396 + 128 = 4*r. Let x be (92/5)/((-19)/(760/16)). Let v = x - r. Calculate the least common multiple of v and 12.
84
Let z = 593 - 592. Calculate the least common multiple of z and (-4600)/(-125) + (1 - (-4)/(-5)).
37
Let a = 16/49 + -1387/196. Let b be (-8 - -11)/(5/(-8) - -1). Find the common denominator of (276/10)/(b/5*5) and a.
20
Let g = -221/3164 - 65393/1623132. Calculate the common denominator of g and 157/1026.
1026
Let o = -4118287/10080 - -13085/32. Calculate the common denominator of 17/455 and o.
4095
What is the smallest common multiple of 2833 and ((-153)/(-15) - (-6 - -17))*(-10)/4?
5666
Let l = -3529/99 + 106/3. Find the common denominator of l and 695/(-120) - (-1)/(-4).
792
Suppose -5*c = 2*d + 37 + 201, 0 = 2*c - 4*d + 76. Let l = -40 - c. What is the smallest common multiple of l and 10?
30
Suppose 0 = -11*c - 2*c + 39. Suppose -v + 6 = -c. Let u = -6 + 15. What is the smallest common multiple of v and u?
9
Let z = 2018 + -2014. Calculate the least common multiple of 617 and z.
2468
Let n be (7/3 + -2)/((-7)/21). Calculate the common denominator of -91/92 and n - (-1 + 16) - (-52)/156.
276
Let t be 9/(135/130) + 2/(-3). Let u be 50/t + 12/(-48). Let z(c) = -c**2 + 3*c + 30. Calculate the least common multiple of z(u) and 76.
228
Let q be (-7 + 9)*(2/(-4) + 2). Let x(p) = -2*p**3 - p**2 - 3*p. Let d be x(q). Calculate the common denominator of ((-29)/d)/(5/(-15) - 0) and 91/18.
72
Let x = -1476171/4 - -369045. Let o(h) = h**3 + h + 7074. Let k be o(0). Let n = k + -42319/6. Calculate the common denominator of n and x.
12
Let h = 5191/456 - -5/152. What is the common denominator of 4/1533 and h?
6132
Let y = -12/4627 - -150212/828233. What is the common denominator of 69/4 and y?
716
Let z(s) = 90*s - 22*s + 91 - 27*s - 26*s - 34*s. What is the smallest common multiple of z(4) and 15?
15
Suppose -5*p + 5*j - 5 = 0, -4*j = -3*p - 3*j + 7. Suppose -5*m + 500 = -5*t, p*t - 20 = -0*t. Let c = m + -77. What is the least common multiple of c and 12?
84
Suppose -9*b - 3120 = 4*b. Let u(d) = d**3 + 5*d**2 - 4*d + 7. Let q be u(-5). Calculate the common denominator of 7/20 and 18/q - (-478)/b.
40
Let q(v) = -v**2 - 36. Let f be (9 + -9)/((-2)/(-4 + 2)). Let i be q(f). What is the smallest common multiple of 40 and 14/7 - (i/3)/1?
280
Let n = 30031/12 - 8333/4. Let d = -428 + n. Let c = -161/18 - d. What is the common denominator of c and 5/24?
72
Let z(s) be the second derivative of -2*s**3/3 + 8*s**2 - 5*s. Let d be z(5). What is the common denominator of ((-129)/(-75) - 3)/(6/d) and 97/30?
150
Let z = -758 + 382051/504. Calculate the common denominator of z and -155/378.
1512
Let s(c) = c**3 + 20*c**2 - 20*c + 18. Let x be s(-21). Let a be 19/7 + x - (-417)/504. Let k = a - 341/120. What is the common denominator of k and -67/18?
90
Suppose -5*c + 3*p = -5, 0*c - 4*p + 8 = -3*c. Let a = 4 + c. Let r = -2816 + 2846. Calculate the least common multiple of a and r.
120
Suppose -173*q - 108*q + 22640 = 2549*q. Let u be -92*(-5)/2*1. Suppose -5*g - 10 = -u. Calculate the smallest common multiple of g and q.
88
Let d = -17585 + 17727. Calculate the least common multiple of 112 and d.
7952
Let a be (-24)/(-20)*5 + -3816. Let h = a + 15327/4. Calculate the common denominator of h and 333/210 - (-4)/(-14).
20
Suppose 4*k - 3*k - 5*k = 0. Let t be (-48)/(k + (-6)/(-8)). Let h = 32 + t. Calculate the common denominator of -23/9 and h.
9
Let n = 10 - 5. Let m = 107 + 100. Calculate the lowest common multiple of m and n.
1035
Let m = 7131 + -6351. What is the smallest common multiple of m and 80?
3120
Let w = 26771 + -26762. Let p = -3 - -6. What is the smallest common multiple of w and p?
9
Let q be (-420)/(-54) - 2/(-9). Let f(a) be the third derivative of a**5/60 - a**4/4 - a**3/6 - 34*a**2. What is the least common multiple of 8 and f(q)?
120
Let q = 15632846634122/4790293660779 - 4/404346557. Let n = q - -10/1077. What is the common denominator of n and (1*-167)/(30/1)?
330
Let r = 139 - 147. Let o(s) = -s**3 - 9*s**2 - 6*s + 25. Calculate the least common multiple of o(r) and 138.
414
Suppose 2*k = 3*g + 1375, -3*k + 3446 = 2*k + g. Calculate the least common multiple of k and 143.
7579
Let i = -23 - -27. Suppose 4 = 3*v + 16, -2*k - 3*v - 36 = 0. What is the smallest common multiple of 6/k - 26/(-4) and i?
12
Let b = 2/14119 - 7228934/42357. Let h = -971/6 - b. Let j(t) = t**3 - 6*t**2 + 2*t + 6. Calculate the common denominator of h and j(6).
6
Suppose -5*x + 290 = 2*c, -4*c = -7*c + 4*x + 458. What is the lowest common multiple of 9 and 50/c - 17/(-3)?
18
Calculate the common denominator of 61/3520 and 54089/(-8960) + (-2)/(-15) + (-264)/(-45).
14080
Let s(n) = -n**3 + 33*n**2 + 22*n - 56. Let m be s(33). Find the common denominator of -43/42 and (8/200)/(4/m)