 3.
88
Let q(a) = -7*a**3 - 5*a**2 + 13*a - 31. Let s be q(5). Find the common denominator of (89/22*3)/3 and (23/(s/636))/((-24)/14).
66
Let x = -800055 - -7238128/9. Let y = -8311 - -4125. Let a = x + y. Calculate the common denominator of 32/27 and a.
27
Suppose -104 = 3*j - 4*g - 136, -2*j - 2 = 2*g. Calculate the least common multiple of 6878 and j.
13756
Suppose -9*d + 8*d - 5826 = 3*u, -5*d + 5*u = 29090. Find the common denominator of d/72*(-4)/(-80) and -31/48.
48
Suppose 6*m + 146 = 14. Let x = m - -88. What is the lowest common multiple of 12 and x?
132
Let v = -22710 - -454311/20. Let x(a) = -a**2 + 9*a + 34. Let i be x(14). Find the common denominator of v and (2/i*-139)/(7/21).
60
Let q = -3/9887 + -226633/2531072. What is the common denominator of q and -43/144?
2304
Let h be (3 - (-127669)/(-40128)) + (-2)/(-11). Let b = 187883/40128 - h. Let c = -1/198 - -5447/396. What is the common denominator of b and c?
44
Let v(s) = s**3 + s**2 - 41*s + 295. What is the smallest common multiple of v(7) and 56?
2800
Let o(g) = -2*g**3 - 4*g**2 - 11*g + 18. Let f be o(3). What is the lowest common multiple of ((-1250)/f - 8) + (-4)/(-42) and 136?
136
Let a(i) = i**3 - 66*i**2 - 62*i - 293. Calculate the least common multiple of 44 and a(67).
924
Let m(z) = z**2 + 2*z - 2. Let y(q) = 99*q**3 + 5*q**2 + 6*q - 8. Let v(s) = -3*m(s) + y(s). What is the lowest common multiple of 66 and v(1)?
198
Let j be 102/(-9) + 0 + 13/39. What is the common denominator of -12 + 16 - (0 + j/2) and 103/(-18) + -1 + 1?
18
Suppose -324*x = -327*x - 3. Calculate the least common multiple of 2 and (4 + x)*1 - (-83 - -83).
6
Suppose 5186 = 658*u - 63904. Suppose -n + s + 14 = 0, 2*s = 5*n - 0*s - 73. Calculate the smallest common multiple of n and u.
105
Let a(k) = -226*k + 4. Let v be a(4). Find the common denominator of ((-15)/(v/(-56)))/(12/(-10)) and 0/(-2) - 88/15.
45
Suppose 0 = -19*f + 134 + 189. Suppose -f*g = -6224 - 1732. Calculate the least common multiple of 7 and g.
3276
Calculate the smallest common multiple of 24/(-42) - 12/84*-284 and 156.
1560
Let g = 38/217 - -6401/4340. Suppose 5*v + 12 = -b - 48, 2*b - 3*v = -120. Calculate the common denominator of g and -30 + (2/(-5))/((-16)/b).
20
Suppose 3*o + 16*o - 7562 + 7277 = 0. Calculate the lowest common multiple of 75 and o.
75
Suppose -5*r - 9*r + 8000 = -4*r. What is the smallest common multiple of 250 and r?
4000
Let l(i) be the first derivative of 2*i**3 - i**2/2 - 2*i + 18. Let j be l(2). What is the smallest common multiple of 176/j*10/4 and 2?
22
Let x = -4174 + 4182. What is the smallest common multiple of 279 and x?
2232
Suppose -90*d + 1073 = -367. Suppose -p - p + 10 = -5*q, q + 5*p + 29 = 0. Let n(t) = -2*t + 8. What is the smallest common multiple of d and n(q)?
16
Find the common denominator of 23/6 and 46/(-651) - (-27)/((-567)/(-2)).
1302
Let n = -9 - -64. Find the common denominator of 3/6*-2 + 210/291 and (4/((-16)/6))/(n/130).
1067
Let d be 16/24 - ((-5118734)/(-42) + 1). Let m = 121900 + d. Let j = 3991/168 - m. What is the common denominator of j and 117/20?
120
Let c = -18 + 45. Suppose 0 = 6*g + 3*g - c. Calculate the common denominator of (((-16)/(-54))/4)/(g/(-18)) and 2/15.
45
Let a be (-66)/33 + 19588/(-496). Let y = -930 + 115319/124. Let s = y + a. Calculate the common denominator of s and -20/11.
22
What is the common denominator of 472/56 - 8 - 2302/4704 and 143/36?
7056
Suppose 6*g + 12 = 4*g - 4*a, -12 = -2*g + 2*a. Let h(w) = 5*w - 50. What is the least common multiple of -2 + 3 + 10*g and h(16)?
210
Suppose 24 = 10*p - 4*p. Suppose 6 = -3*n, -t + 12 = p*n + 4. What is the lowest common multiple of t and 12?
48
Suppose -103*a + 5*a + 4863 = 1629. Let c(x) = -250*x + 1. Let g be c(-1). Calculate the common denominator of -68/21 and g/30 - 99/a.
210
Suppose -7*z = -2*z - 100. Let c be (-12)/(-90)*-3 + (-117503)/z. Let m = 5879 + c. What is the common denominator of m and 59/16?
80
Suppose -y - 4*y + 50 = 0. Suppose 2*n - 4*v = -3*n + 5, 4*n = 2*v + y. Suppose -2*f = -n*p + 62, 5*f = 13 + 7. Calculate the lowest common multiple of 5 and p.
70
Let g be -4 + (-3)/(-4)*168/14. What is the common denominator of (-70 + 0)/2 - g/10 and 99/4?
4
Let b be 117/(-12) + (-9)/(-12). Let z = 425 + -457. Find the common denominator of -103/10 and (-165)/b*6/z.
80
Suppose -3*y = -r - 491, -3*y + 6*y + 5*r = 461. Calculate the lowest common multiple of 243 and y.
486
Let t = -60 - -106. Suppose -440*k + 3186 = 50*k + 41*k. Calculate the least common multiple of k and t.
138
Suppose 9*p + 200 = 11*p. Calculate the lowest common multiple of (p/(-15))/(9/(-54)) and 110.
440
Let n be 18*4*3/36. Calculate the common denominator of (-5)/(-100)*5 - -1 and (-4074)/(-224)*1/n.
32
Suppose -3*d - d = -4*w - 880, -5*d + 3*w = -1100. Calculate the lowest common multiple of (129/258)/(((-2)/d)/(-1)) and 5.
55
Let p(r) = -r**3 - 2*r**2 + 2*r - 3. Let q be p(-4). What is the common denominator of -17*(1 - q/24) and ((-171)/55 - -3)*-10*6/24?
88
Let u be (-95 - -101) + (-6)/(-4)*6. Suppose 783 = 14*s + u*s. What is the smallest common multiple of 63 and s?
189
Let z(s) = 2*s**2 - 158*s - 654. Calculate the least common multiple of z(85) and 1098.
1098
Let q = -715081/5555772 - 7/16684. What is the common denominator of q and -23/15?
1665
Let w = -11614 - -57829/5. Suppose 21*r - 528 = 10*r. Let h = r + w. What is the common denominator of 29/11 and h?
55
Let s be (4 - 147/28)/(14/8). Let a = -585/44 + 25505/1848. Let y = a + s. Find the common denominator of y and 52/27.
216
What is the lowest common multiple of (2 + 0)/((-24)/(-48)) and 10?
20
Let n be 4 + 1059/(-63) + -5 + 4. Let a = -797/42 - n. Find the common denominator of 77/750 and a.
750
Find the common denominator of -41/1072 and (-34 + 2829/82)*(-1)/((-64)/34).
4288
Suppose -k + 1218 = 2*i, -9*i + 5*k + 1840 = -6*i. Calculate the least common multiple of i and 305.
610
Calculate the smallest common multiple of (2/2)/((-14091)/1008 + 14) and 88.
528
Suppose 2*a - 176*c + 178*c - 236 = 0, 2*a - 232 = -4*c. Calculate the least common multiple of 330 and a.
1320
Suppose 136*q - 138*q - 2*t + 710 = 0, 1772 = 5*q + 4*t. Calculate the lowest common multiple of q and 288.
3168
Let i = 60 + -30. Suppose -i*m = -26*m - 132. Calculate the smallest common multiple of m and 0 + 3 + (1 - (-10 + -4)).
198
Let k(r) = -57*r - 5532. Suppose 3*u = -13 + 34. Calculate the smallest common multiple of u and k(-98).
378
Find the common denominator of 3/1604 and 2/((-792)/1638 - 0).
17644
Let t = 1/969 - -32939/6783. Suppose -5*q = -5*s - 5015, -3*s = -5*q + 835 + 2164. Let n = s + 4051/4. Calculate the common denominator of n and t.
28
Calculate the common denominator of (-2 - (-36704)/17352)*(-5)/(40/6) and -63/964.
2892
Let y(l) = 8*l + 1818. What is the least common multiple of 197 and y(19)?
1970
Let n = -2243/72 + 241/9. Find the common denominator of n and 33/700.
1400
Calculate the common denominator of 524/(-128)*2 + 7 and (2187/1782)/(4/(-6)).
176
Let c = 3208486 + -397854581/124. Let z = -126/31 + c. What is the common denominator of z and ((-34)/7)/(560/(-49))?
40
Let u be 6/((-4)/(-10188)*15). Let m = 2027/2 - u. Find the common denominator of m and 6/8 + 1099/(-140).
10
Suppose -4*w + 68 = 4*i, -5*i + 115 = -2*w + w. Let y be (-12 + -7 - (-6)/(-4))*4. Let v = y - -90. Calculate the lowest common multiple of i and v.
88
Let d(f) = f**2 + 6*f - 52. Let a be d(-10). Let t = 28 + a. What is the lowest common multiple of t and 120?
240
Suppose t + 8 = -s - 2*t, -5*s - 4*t - 18 = 0. What is the common denominator of (s/30)/(2/309) and 5/(-4)*(-6642)/(-1845)?
10
Let c = -15369 - -15377. Let n = 64 + -28. Calculate the smallest common multiple of c and n.
72
Suppose -5*b = 2*n + 170, -33*n = -5*b - 36*n - 165. Suppose -4*w + 7*w - 123 = -s, -41 = -w - s. Let i = w + b. Calculate the least common multiple of i and 6.
30
Let r = -33160352 - -25765597349/777. Let a = -58/37 + r. Find the common denominator of (-9)/(-12) - 700/144 and a.
63
Suppose -2*d - 4*t + t + 8 = 0, t = 2*d - 24. Let u be ((-146)/(-10))/((-10)/(-50)). Let r = u - 67. Calculate the smallest common multiple of d and r.
30
Suppose -164*s = -2*s - 821 - 637. Find the common denominator of s