599301/5100. Find the common denominator of j and 4/3.
300
Let t(g) = -g**2 + 11*g + 6. Let m be t(11). Let c = 27 - m. Suppose 4*z = z + 18. What is the smallest common multiple of z and c?
42
Let z(u) = -u**2 - u + 4. Let r(q) = -q**3 + 4*q**2 + 4*q + 5. Let v be r(5). Calculate the lowest common multiple of (-47)/(-3) + (-4 - 78/54*-3) and z(v).
16
Find the common denominator of -20 + (-57440)/28950 - -22 and -34/105.
20265
Let i = -64233/20 + 3213. Suppose -14*w - 6484 - 908 = 0. What is the common denominator of i and ((-2)/(-4))/(w/3984)?
220
Let m be (4/(-5))/(10/(-25)). Suppose 99*c - 2322 = -27*c - 3*c. What is the lowest common multiple of c and (-116)/(-12) - m/3?
18
Suppose -13*t = -5*t - 16. Let b be (t/50)/((-5)/(30/(-98))). Let p = b - -79598/11025. What is the common denominator of p and 17/3?
9
Suppose 2*t - 1248467 = 5*v, v = -4*v + 4*t - 1248459. Let k be (v/(-24) - 2) + 2/2. Let l = k + -10401. Find the common denominator of -101/18 and l.
72
Let p(c) = c**3 - 11*c**2 + 6*c + 32. Let j be p(10). Let a = 2239/2 - 1099. Calculate the common denominator of (399/8)/(-3)*j/12 and a.
12
Suppose 4*l - 105 = -3*v, 64 - 5 = 2*v - l. Find the common denominator of v/15 - (0 - 10/(-90)) and -29/20.
180
Let w = 12 - 4. Suppose 2*f - 2*o - 8 = 0, -1 = -f + 2*o + 4. Suppose -4*q = 3*n - 105, -7*q - 120 = -f*n - 6*q. What is the least common multiple of w and n?
312
Let p = 30 - 25. Suppose p*k = -3*n + 29, -k = -5*k + 4*n + 4. Let q = 709 + -707. Calculate the least common multiple of q and k.
4
Let a be ((-1)/(-2))/(8/48). Let z = 6/4019 - -606833/24114. Calculate the common denominator of z and 21/(-34)*10/a.
102
Suppose 3*z - 41 = -b, 12*z + 100 = 4*b + 8*z. What is the smallest common multiple of 14 and b?
406
Let s(y) be the second derivative of y**4/12 - 7*y**3/6 - y**2 - y. Suppose -80 = 3*f - 72 - 38. Calculate the smallest common multiple of s(8) and f.
30
Suppose 110 = b + 28*r - 31*r, 3*b = 5*r + 322. What is the least common multiple of 260 and b?
520
Suppose t - 476 = 4*a, -2*t + 974 = 16*a - 13*a. Calculate the least common multiple of 484 and t.
484
Let k(s) = s**2 + 9*s - 21. Let a be k(-11). Suppose -2 = 2*f, 4*f + a = 2*l - 15. Suppose -4*j + 10*j - l = 0. What is the least common multiple of j and 17?
17
Let y be -4 + (206*65/(-3330))/(-1). Let p = -4787/666 + y. Find the common denominator of 77/24 and p.
24
Let a be (-14892)/(30/5)*-2. Let q = a - 149009/30. Find the common denominator of 67/12 and q.
60
Let q be 16/6 + -2 + 56/24. Suppose 305 = 3*p + 5*l + 55, -q*l = 12. Calculate the smallest common multiple of 36 and p.
180
Suppose 3*h - 481 = -5*w, 2*w - 613 = -4*h + w. Suppose -h = -3*s + 4*q - 60, -4*s - 5*q + 133 = 0. What is the common denominator of 37/8 and 2/s + (-1 - 0)*2?
16
What is the common denominator of (3366/(-162) + 5)*9/84 and -43/3283?
19698
Let f(h) = -5*h**3 + 5*h**2 - 16*h - 3. Let i be f(5). Let p = -2059 - i. Let q = 13270/9 + p. What is the common denominator of -69/4 and q?
36
Suppose -3*i + 20*r = 18*r - 1372, i = 2*r + 460. What is the least common multiple of 1653 and i?
13224
Let t = 40120 - 2888719/72. What is the common denominator of t and -8/25?
1800
Let r = -16323/5 + 115224262/35295. Find the common denominator of r and -28/15.
35295
Suppose 285 = -7*q - 12*q. What is the least common multiple of -18*(-2)/3*1 and (-4 + 3/3)*110/q?
132
Find the common denominator of 59/96 and (17 - 6/3)*1/(-69).
2208
Let t = 185732/21 + -8841. Calculate the common denominator of -109/648 and t.
4536
Let b(h) = -2*h + 5. Let q be b(-4). Let g = -9 + q. What is the common denominator of (-28)/160*g/2 and 13/44?
220
Suppose 0 = -3*o + 31 + 23. Suppose -265*y = 183*y - 3584. Calculate the lowest common multiple of o and y.
72
Suppose 332*n + 4293 = 352*n - 4167. What is the lowest common multiple of n and 18?
846
Let z be 3*28/6 - 1. Let b = z - 0. Suppose 2*h - 5 = -4*k + 3*k, 5*h - b = -3*k. What is the smallest common multiple of 6 and k?
6
Suppose 0 = 4*l + 16*l - 300. Let z = 7717 - 77293/10. What is the common denominator of (-14)/18*((-334)/14 + l) and z?
90
Let t(j) = j**3 - 12*j**2 + 11*j + 4. What is the smallest common multiple of t(11) and (-104 + 124 - (-1 + 9))*(-10)/(-4)?
60
Let y(l) = -24 - 357*l + 366*l - l**2 + 41. Suppose 3*c - 5*w = 4, 28 = 3*c - 2*c + 5*w. Calculate the smallest common multiple of 2 and y(c).
50
Let n = 105824 + -105808. Let h(p) = p**3 + 7*p**2 - p + 3. What is the least common multiple of h(-7) and n?
80
Let d = 834181/35349192 + -98/4861. Calculate the common denominator of -137/72 and d.
7272
Let x = 3600 - -955. Calculate the smallest common multiple of 6 and x.
27330
Suppose -10*v + 13*v - 5 = 5*t, 2*t + 3*v = 19. What is the smallest common multiple of ((-5)/10)/(-2 - 57/(-30)) and t?
10
Let y = 205/26 + -298/65. Suppose j + 0 = -32. Calculate the common denominator of y and j.
10
Suppose 56*r - 836 - 1736 = -332. What is the least common multiple of r and 340?
680
Let u = -70/83 - -5187/1328. Let n be (4/(-144))/(-87*(-2)/36945). Let c = -51/116 - n. Find the common denominator of u and c.
48
Let c be 6080/(-6)*(-525)/50. What is the common denominator of 33/20 and 4/7 - 8145/c?
1520
Let l be -4*1 - 1 - (-1 + -6). Suppose -2*g + 1 = p, -4*p + l*g + 26 + 28 = 0. Calculate the smallest common multiple of p and 141.
1551
Let m be 2/(2/3) + -1. Suppose 120 = m*j - 5*y - 56, -5*y = j - 88. Suppose -3*h = h - j. Calculate the lowest common multiple of h and 20.
220
Suppose -5*a = 2*k - 843, 64*a - 63*a = k + 177. Calculate the lowest common multiple of 90 and a.
1710
What is the least common multiple of 424 + ((-291)/(-194))/((-6)/(-20)) and 110?
4290
Let v(q) = -15*q + 99. Suppose 25*y - 2 = 26*y - 4*u, -4*y + 2*u = -20. Calculate the lowest common multiple of v(y) and 281.
2529
What is the common denominator of (38/1026)/(2/(-123) - 0) and (2/54)/(50/(-55) + 1)?
54
Let n(x) = x**3 + 6*x**2 - 24*x + 13. Let v be n(7). Let s = -228 + v. Calculate the lowest common multiple of 11 and s.
2794
Let y = 134 + -190. Let q = y - -58. Suppose -s - q*w = 2, -3*s = -3*w - 34 + 4. What is the lowest common multiple of 6 and s?
6
Let i = 4529 + -40792/9. Find the common denominator of i and -24/97.
873
Let d(h) = -10*h**2 + 131*h - 9. Let m be d(13). Suppose m*u + 5*n - 66 = 0, n = 5*u - 2*n - 64. Calculate the least common multiple of u and 2.
14
What is the common denominator of -38/705 and 4/24*9/(-8460)*196?
1410
Suppose 12 = u + 3*y, -6*u = -4*u + y - 34. Find the common denominator of (17 - u)/(18/(-19)) and -53/8.
72
Let n(i) = -2*i**2 - 2*i + 8. Let w be n(-5). Suppose y = 1633 - 349. Calculate the common denominator of -111/22 and (6/(-99))/(w/y).
44
Let r = -30785/6 + 30709/6. What is the common denominator of (-4)/3*206/(-80) and r?
30
Let d = 166/9 + -43/9. What is the common denominator of d and 78/65 + 98/135?
27
Let c = 4414/57 + -261621/3344. Let u = 16/33 + c. Calculate the common denominator of -1 + (-1)/(16/(-202)) and u.
16
Let r be 68 - (130/35 + (-4)/(-14)). Let u = r + 1068. What is the least common multiple of 12 and u?
3396
Suppose -4*c + 105 = c. Calculate the common denominator of (-22)/(-2)*c/240 and 2/(-28)*(5 + (-172)/2).
560
Calculate the common denominator of (15 - 17) + (-1140)/(-288) and 6/(-15) - (-878)/(-180).
72
Let b = 35 + -125. Find the common denominator of -2 - 0 - (-78)/b and 4/18 - 226/(-90).
15
Suppose 0 = -3*t - 4*q + 2377, 2*t - 3221 = -2*t + 5*q. Suppose -4*u + t = -1509. Let j = 4021/7 - u. Find the common denominator of 1/17 and j.
119
Suppose -123*u + 13520 = -19*u. What is the smallest common multiple of 600 and u?
7800
Let a = 13 + -15. Let k(z) = -4*z**2 - 7*z + 1. Let f(r) = 3*r**2 + 6*r. Let h(t) = a*k(t) - 3*f(t). What is the lowest common multiple of 8 and h(-2)?
8
Let k be (2276/(-6))/((-398)/99 + 4). Let l = k - 375637/20. What is the common denominator of 2/(-4) - (-405)/(-40) and l?
40
Let i(q) = 383*q - 188. Calculate the smallest common multiple of i(10) and 1214.
3642
Let s = -2673/7 - -569062/1491. Find the common denominator of -94/45 and s.
3195
Let d be (-12)/(-3) - (-163117)/14500. Let z = -2/3625 - d. What is the common denominator of z and -79/110?
220
Let f = -573 + 722. Calculate the lowest comm