r = -545/82 + -11/205. What is the common denominator of r and (28/504)/(6/9)?
60
Let t = 1943 + -5878/3. Let i = -19/170 + -3/34. Find the common denominator of i and t.
15
Let c = 37/22 + 39/88. Let z be 10/(-18)*-1 - 1. Let t = z - 13/18. Find the common denominator of t and c.
24
Suppose r - 24 = -2*r. Let c(u) = 2*u**2 + 13*u + 11. Let f be c(-6). Suppose -m = 4*m - f. What is the least common multiple of m and r?
8
Let j(q) = q**3 + 7*q**2 + 18*q + 28. Suppose o + 5*w - 26 = 0, o - 5*w = -2*o + 38. Calculate the least common multiple of o and j(-3).
80
Let x(d) = 11*d**2 + d - 4. Let a be x(4). Suppose -6*b = -2*b + a. What is the common denominator of 83/20 and ((-16)/(-24))/(b/(-177))?
220
Let b = -79/2 - 6. What is the common denominator of 6/(-16) - 5778/8560 and b?
20
Let d be 697556/(-8129640) + -2*2/(-6). Let b = -2/9155 - d. Find the common denominator of 54/11 and b.
814
Let h = -4143833/78 - -53125. What is the common denominator of h and -29/7?
546
Let b(g) = -3*g + 9. Calculate the least common multiple of b(-1) and ((-8)/(-6))/((-4)/(-42)).
84
Let n = -1337 - -1421. Calculate the lowest common multiple of 18 and n.
252
Suppose 0 = 8*p + 3*p - 27071. Let v = -14819/6 + p. Calculate the common denominator of v and 115/12.
12
What is the smallest common multiple of 45 and 4/(-50) - 113880/(-1625)?
630
Suppose 330 = -f + 354. Calculate the lowest common multiple of f and 8.
24
Calculate the common denominator of (-1432)/80 + 0 + (3 - -3) and 121/162.
810
Find the common denominator of -91/30 and (-825)/(-20)*(1 + (-14)/35).
60
Let k = -72275/12 - -6017. Let b = -12810 + 230681/18. Find the common denominator of k and b.
36
Suppose -3*f + 7*b - 3*b = -58, 0 = 3*f + b - 68. What is the smallest common multiple of f and 262?
2882
Let a be ((-4)/6)/((-28)/378). Let q(x) = x**3 - 8*x**2 - 9*x + 9. Let i be q(a). What is the common denominator of (-74)/i - 16/(-72) and -61/10?
10
Let d = -1529 + 16776/11. What is the common denominator of 12/3 + (4 - 262/16) and d?
88
Let s = 48183/16 - 3016. Let f(w) = w**3 + w**2 + w - 4. Let k be f(0). Find the common denominator of s and (-398)/(-120) - 1/k.
240
Find the common denominator of ((1100/(-72))/25)/(40/(-28)) and -97/42.
1260
Suppose 0 = -3*y - 9 + 39. Suppose 3*p = 2*p + y. Suppose -9*d + 53 = 44. Calculate the smallest common multiple of p and d.
10
Let o(u) = 17*u**2 + 1. Let h = 0 + -3. What is the least common multiple of (h/2)/(3/(-4)) and o(-1)?
18
Suppose -25*l = -23*l + 60. Calculate the lowest common multiple of ((-12)/15)/2*(l + 5) and 20.
20
Suppose 49 = 4*z - 239. What is the smallest common multiple of 36 and z?
72
Calculate the common denominator of 3/(-5) + -14 + (-55791)/(-3780) and -93/56.
840
Suppose 3*i = -4*h - 4, -3*i + 1 - 17 = -2*h. Let r = -1 - i. What is the lowest common multiple of 14 and r?
42
Suppose -g = 3*g. Let m be ((-8)/(-16))/(2/8). Suppose -u + 3*x - x = -22, m*u + 4*x - 20 = g. Calculate the lowest common multiple of 6 and u.
48
Let g(w) = 2*w**3 + 12*w**2 - 16*w - 4. Let f be g(-7). Suppose -31*a - f = -36*a. Calculate the lowest common multiple of a and 10.
10
Let q = 1378 - 1367. What is the lowest common multiple of 6 and q?
66
Let j = -121 + 189. Let a = -29 + j. Let r = a - 33. What is the smallest common multiple of 8 and r?
24
Let m = 111 + -123. Let p = 14096/11 - 1280. Calculate the common denominator of p and (-15)/(990/m)*35/2.
11
Find the common denominator of (-1 - -2) + (-4)/(-15) and (-492)/18*(-3 + 196/64).
120
Let h be (-4)/(-18) - (-350)/45. Let c be (-4)/(-16) + (-74)/h. Calculate the lowest common multiple of (-6)/27 - 92/c and 10.
10
Suppose -2*a + 206 = 2*s, 4*s + 2*a - 408 = -3*a. Let d = s + -95. What is the lowest common multiple of 27 and d?
108
Suppose 6*g - g - 2*l = 68, 3*l = 3*g - 39. What is the lowest common multiple of 146 and g?
1022
Let d(v) = -v**2 - 5*v - 2. Let g(z) = -16 - 4*z - 5*z - 5*z - z**2. Calculate the smallest common multiple of g(-12) and d(-2).
8
Let z = -1551 - -3025/2. What is the common denominator of 38/3 and z?
6
Suppose 5*p - 2*h = -0*h + 82, h = -5*p + 94. Let t = 62 - 25. Let o = t - 17. What is the lowest common multiple of p and o?
180
Let v = 437/10 - -4/5. Calculate the common denominator of (-59)/177 - 2/(192/(-206)) and v.
16
Let p = -32 - -19. Let a = p + 12. What is the common denominator of (a/(-3))/((-2)/74) and -67/10?
30
Suppose -3*u = -5 - 7. Let j be 31976/(-1200) - u/6. Let y = 87/25 + j. Find the common denominator of y and 91/2.
6
Calculate the common denominator of 145/24 and (-117)/(-4212)*(-2)/(-2).
72
Let t = -179287/5 - -34731. Let u = t + 1134. Calculate the common denominator of -26 and u.
5
Let d(z) = -z**2 + 43*z + 40. Calculate the smallest common multiple of 80 and d(43).
80
Find the common denominator of 29/9 and (3/((-99)/(-19)))/((-25)/50).
99
Let a = -167 - -175. Let n(v) be the third derivative of v**6/120 + v**5/5 + 3*v**4/8 - 8*v**3/3 + v**2. Calculate the lowest common multiple of n(-11) and a.
24
Let h = 1603 - 1483. What is the smallest common multiple of 144 and h?
720
Suppose -3*x - 12 = -0, -3*h = -x + 728. What is the common denominator of (-6)/(-21) + h/(-77) and (-1)/(-3) + 22/24?
44
Suppose 3*l = -4*q + 20, -q + 2*l - 5*l = -14. Suppose -2*o + 9 = o. Suppose o*m = -9, -2*v = -0*v + m - 7. Calculate the smallest common multiple of q and v.
10
Let c(w) = w**3 + 4*w**2 - 3*w + 2. Calculate the lowest common multiple of c(-4) and (14 + 0)*((-14)/4 - (-18)/4).
14
Let h(s) = s**3 - 4*s**2 - 2*s + 10. What is the smallest common multiple of h(9) and 4?
1588
Suppose 0 = -5*v - 2*o + 364, -3*v + 105 + 132 = -5*o. Suppose -4*y + 38 = -v. Calculate the lowest common multiple of y and 24.
168
Let m be (6/4)/(3/(-12)). Let r(u) = -2*u**3 + 5*u**2 + u - 2. Let v be r(m). Find the common denominator of (v/(-96))/((-6)/8) and 45/8.
72
Let g = -366 + -58. Let u = g - -7643/18. Find the common denominator of u and (-49)/4 + (0 - 0).
36
Find the common denominator of -145/24 and (-2)/(-1) - (-5)/(-480)*716.
24
Let y(n) = -n**3 + 2*n + 1. What is the lowest common multiple of 8 and y(-2)?
40
Let y(k) = -k**3 + 10*k**2 - 12*k + 12. Let i(n) = n**3 - n + 2. Let z be i(2). Let o be y(z). Calculate the common denominator of (53/4)/(o/(-16)) and 12/11.
11
Let z = 49 - 7. What is the common denominator of -73/8 and (-13)/(-5)*z/24?
40
Suppose 2 = 2*b - 0*b. Suppose 3*f - b = 8. Suppose -3*r + 0*r + 4*s = -36, -r = f*s + 1. Calculate the lowest common multiple of r and 5.
40
Let k = -20160 - -362749/18. Find the common denominator of k and 50/(-4)*(-2)/4.
36
Let f be -4 + (-46 - 2 - (1 + 0)). Let q = f - -65. Calculate the smallest common multiple of 24 and q.
24
Suppose 5*g = 5*b + 425, -5*b + 22 = 47. Calculate the smallest common multiple of 80 and g.
80
Let s = 2936/99 - 59/2. What is the common denominator of s and -145/72?
792
Let r(f) be the first derivative of -1/3*f**3 + 3/4*f**4 + 0*f + 7 - f**2. Calculate the lowest common multiple of r(2) and 22.
176
Let n be 3378/10730*(-7)/2. Let l = -2/1073 - n. What is the common denominator of l and -97/6?
30
Let f = 10190 + -6841. Let j = -30085/9 + f. What is the common denominator of 151/18 and j?
18
Suppose -7*j = -13*j + 54. Suppose 5*n = 2*n + 5*q + 11, -3*q - j = -2*n. What is the smallest common multiple of n and 14?
84
Let a = 2317 + -2007. What is the least common multiple of a and 90?
2790
Suppose 2918 + 2026 = 12*l. Calculate the smallest common multiple of 16 and l.
1648
Suppose -2*v + 4 = -0*v. Let f(j) = j**2 - 3*j + 3. Suppose 0 = g - 3*s + 5, -11 = 4*g - 6*g - s. What is the least common multiple of g and f(v)?
4
Suppose -3*c + 5*t = -0*t + 226, 4*t = c + 73. Find the common denominator of (c/55)/(-6*4/(-210)) and 3 - (-146)/(-44) - -3.
44
Let t be ((-126)/(-15))/(3/(-10)). Calculate the lowest common multiple of ((-21)/(-2))/((-14)/t) and 24.
168
Let i(h) = h**2 - 25*h + 113. Let f be i(21). Suppose 3*q + 34 = -29. Let u = q + f. Calculate the least common multiple of u and 22.
88
Suppose 2*a + 0*a - 3 = -h, 0 = 2*a + 4*h + 6. What is the least common multiple of 902 and a?
2706
Let f = -8163 - -65315/8. What is the common denominator of (0 - -1) + (-178)/20 and f?
40
Suppose -4*d - c - 4*c + 55 = 0,