 77/(-30) - (-1)/(-3)?
10
Let l = -2779/45 + 321/5. Find the common denominator of l and -37/10.
90
Suppose -4*f = 4*w + 348 - 92, 212 = -3*f + 2*w. Let m be f/(-3) + 1/3. What is the common denominator of 38/11 and m*(1 + (-6)/4)?
22
Calculate the common denominator of -2 - (-76)/(-28) - 2 and 45/4.
28
Suppose -1 = 3*p - 10. Suppose l + p*l - 32 = 0. Calculate the least common multiple of ((-24)/(-28))/(1/21) and l.
72
Suppose r + 6 = 8. Suppose -4*o + 49 = 5*m, -2*o - 3*m + 27 = r*m. Calculate the lowest common multiple of o and 10.
110
Let m(n) = 2*n - 8. Let u be m(6). Calculate the lowest common multiple of (-3 + u)/(1/6) and 16.
48
Let u = 8717 - 174271/20. Let v = -369 - -888. What is the common denominator of v/(-18) - (-2)/(-3) and u?
20
What is the smallest common multiple of 2*((-1 - 1) + 5) and (-1*9)/(9/(-6))?
6
Let j = -2 + 16. Suppose j = 2*c - 4*t - 30, -3*c + 36 = 4*t. Let z = c - 2. What is the least common multiple of 18 and z?
126
Let h be (2 - 2) + (-1 - -5). Suppose 1 = 3*x + h. Calculate the common denominator of (-1005)/10*x/33 and 77/6.
66
Let j = -6/221 - -14855/1768. Calculate the common denominator of j and -1/7.
56
Let f = -2250 - -44947/20. Suppose 120 = -3*m + 6*m. Calculate the common denominator of f and 12/m*445/18.
60
Let h(k) = 5*k - 3. Let l = 13 - 11. Calculate the smallest common multiple of h(l) and 11.
77
Suppose -w = -a - 949, 0*w - a + 1901 = 2*w. Let q be 56/20*w/(-16). Let z = q - -159. Calculate the common denominator of 23/6 and z.
12
Let i = -2346395651955/347696378372 + 16/69372781. Let h = i + -2/1253. Calculate the common denominator of -109/6 and h.
12
Let g be 4/14 - 328/(-28). Let d(y) = y**2 - 1. Let v be d(1). Suppose v = -2*f - f + g. Calculate the smallest common multiple of f and 11.
44
Let v = 6 + -3. Let s = 22/15 + -243/10. Calculate the common denominator of s and 6/(-12) + 12*v.
6
What is the common denominator of 159/10*2/6 and (-322)/(-420) + (-1)/(-3)?
10
Let t be (15/45)/((-1)/(-15)). What is the lowest common multiple of 51/t - 5/25 and (-2)/(-5) + (-53)/(-5)?
110
Let d = -1386633/40 + 34664. What is the common denominator of d and -7/24?
120
Suppose -3*b = 2*b - 2*t - 36, -4*t = 2*b. What is the common denominator of (-1)/(-6) - (-832)/264 and b/(-9) + (-50)/(-24)?
132
Suppose 5*w = -5, 0 = d - w + 3*w - 2. Let q(s) = -2*s + 9 - 3*s + d*s. What is the smallest common multiple of 11 and q(7)?
22
Find the common denominator of -23/10 and ((-2)/(-18))/((-20)/(-1310)).
90
Let s = 4613/3 + -1552. Suppose -5*m + 3*g = -3, 4*m + 1 = 4*g - 3. What is the common denominator of s and m/9*(-1 + 15)?
3
Find the common denominator of 50/3 and 2/10 + ((-412)/105)/2.
21
Suppose 6*a - 5 - 7 = 0. Let o(p) = -p**2 - 4*p + 2. What is the lowest common multiple of a and o(-3)?
10
Let j(v) = -2*v**2 - 9*v - 8. Let m be j(-6). Let x = -6 - m. Suppose 5 + 7 = 2*q. Calculate the least common multiple of q and x.
60
Suppose 0*x - 3 = x. Let t be x*3*12/(-27). Suppose -4*j + t = i, 4*i + 18 = j - 0*i. Calculate the lowest common multiple of j and 8.
8
Calculate the common denominator of (-3)/10*13/(-3) and 12/9 + 310/(-66).
110
Let f(c) = 3*c - 1. Let m be f(1). Find the common denominator of (m/4)/(12/282) and 131/6.
12
Calculate the lowest common multiple of (1/(9/15))/((-1)/(-18)) and 55.
330
Let j be (2/24)/(3/249724). Let y = 6930 - j. Find the common denominator of ((-11)/(-3))/((-8)/(-3)) and y.
72
Let v = 124183/9 + -13305. Let b = -497 + v. What is the common denominator of 4/9 and b?
9
Let j = 498 + -329. Let r = j + -3065/18. Calculate the common denominator of r and 97/18.
18
Suppose 2*y + 16 = 3*m - 0*y, 3*y = 2*m - 19. Suppose -u - 2*u = m*r + 12, 2*u + 3 = -3*r. What is the common denominator of ((-20)/66)/(8/u) and 95/16?
176
Let o be (-747)/20 - 6/15. Let p = o - -349/12. Find the common denominator of p and 11/10.
30
Let b = -23 + 14. Calculate the least common multiple of (b/4)/((-3)/32) and 2.
24
What is the common denominator of 73/4 and (-222)/(-4)*4/(-24)?
4
Let i(m) = -2*m - 4. Calculate the lowest common multiple of 18 and i(-5).
18
Let f = 21 + -16. Suppose 23 = f*j - 67. Calculate the least common multiple of 10 and j.
90
Let n be 4/(-48)*29886/(-134). Let v = -495/29 - -31541/1943. Let r = n + v. Find the common denominator of r and -12/5.
20
Let s = 69 + -51. What is the lowest common multiple of 27 and s?
54
Let x = 2323/228 + -78/19. What is the common denominator of x and -32/87?
348
Let v = 19 + -11. Calculate the smallest common multiple of 146/9 + v/(-36) and 18.
144
Suppose -d + 20 = d - 2*o, d + 4*o = 35. Calculate the lowest common multiple of d and 9.
45
Suppose 2*a - 730 = 3*a. Let j = a - -8755/12. Find the common denominator of (31/(-3))/((-100)/15) and j.
60
Let l = -20 + 13. Let b(j) = -j + 2. What is the least common multiple of b(l) and 10?
90
Let q = -989/2 + 464. Calculate the common denominator of q and 5/8.
8
Let f(k) be the third derivative of -k**5/60 - k**4/2 - 7*k**3/6 - 2*k**2. Calculate the least common multiple of 12 and f(-9).
60
Let u = -302/9 + 80/9. Find the common denominator of u and (-114)/30*2/(-4).
30
Suppose -3*f + 36 = -4*q, 5*q - 23 = -4*f + 2*q. What is the lowest common multiple of 12 and f?
24
Suppose 2*v - 4 + 2 = 0. Calculate the lowest common multiple of v and 13.
13
Let x = -5163/4 + 1287. Let g = -189631/16 - -11847. Find the common denominator of x and g.
16
Let h = 13410 + -160813/12. Find the common denominator of h and 29/27.
108
Suppose -q + 6*q = -240. What is the lowest common multiple of -1*(q/(-3))/(-2) and 12?
24
Let n(k) = 4*k + 2. Calculate the least common multiple of 5/(-3)*24/(-2) and n(5).
220
Let x(p) = -p + 5. Let v be x(8). Calculate the smallest common multiple of 16 and 1/((-3)/4)*v.
16
Let b be -3 + (-2 - -4)/(-1). Let x(o) = o**3 + 6*o**2 + 3*o - 7. Let a be x(b). Suppose 21 = a*t - 9. What is the least common multiple of 8 and t?
40
Suppose -w = -5*w + 348. Let n be w/4 + (-4)/(-16). Suppose -33 = -5*l - 4*g + 53, 4*g + n = l. What is the lowest common multiple of l and 16?
144
Suppose 0 = -2*b + 16 - 4. What is the least common multiple of b and 11?
66
Let q = 12867/2120 + 13/424. What is the common denominator of q and 59/20?
20
Let c be ((-9)/18)/((-2)/(-152524)). Let f = c - -1105559/29. Let s = f + -366/145. What is the common denominator of -4/7 and s?
35
Let k = -2/18773 - -2459323/563190. Find the common denominator of -48/25 and k.
150
Let b = 73/5 - 396/35. Let q be (-3)/74*(-6)/639. Let m = q - 94579/18389. Calculate the common denominator of b and m.
7
Let g = -1051502 - -56935678796/54147. Let l = g - -5468803/1191234. Find the common denominator of l and -91/12.
132
Let i = -72 + 78. Calculate the least common multiple of 36 and i.
36
Suppose 5*f - 87 = -67. What is the smallest common multiple of 2 and f?
4
Let q = 6 - -6. Calculate the lowest common multiple of 4 and q.
12
Suppose 0*u + 5*u - 3*k = 585, -5*u + 2*k = -585. What is the common denominator of -13/22 and 12/(-9)*u/(-32)?
88
Suppose -5*o + 4*o = 0. Suppose 4*t - 16 + 4 = o. Calculate the smallest common multiple of t and 5.
15
Let z be (-10358)/(-60) + (-2)/6. Let i = z - 833/5. Find the common denominator of -48/11 and i.
110
Let j = 221459/19830 + -4/3305. What is the common denominator of j and -16/5?
30
Let v = -118 + 134. What is the smallest common multiple of 48 and v?
48
Let q be 210/(-49) + 4/14. Find the common denominator of -59/22 and (-8)/q - 41/10.
110
Let z = 9 - 3. What is the least common multiple of z and 18?
18
Let t be (-2)/10 + (-42318)/(-40). Suppose -2*a - 3*a = 5*i - 5170, -3*i - 4*a + 3101 = 0. Let h = t - i. Find the common denominator of h and -16/7.
28
Suppose 4*t = -2 + 14. What is the smallest common multiple of t and 1*(0 - -1 - -6)?
21
Calculate the common denominator of 36/2*9/192 and 99/16.
32
Suppose 0 = 2*z - n - 24, -2*z - 3*n - 30 = -5*z. Suppose -5 = -i - 3*w, 0*w = -3*i - w + 55. What is the lowest common multiple of i and z?
140
Let m = 1823/5 - 371. Find the common denominator of 2/(-2) + 2 + (-319)/232 and m.
40
Let o = 2227/3 + -757. What is the common denominator of o and 23/(-7) + 11/(55/(-15))?
21
Suppose 6*j - 137 = -17. Let p(o) = 3*o**2 + o. Calculate the smallest common