 0, -18*h + 19*h = 4*p + 44. What is the smallest common multiple of h and 9?
180
Let x = 158 - 156. Calculate the lowest common multiple of x and 22.
22
Suppose -f + 570 = -0*f. Let a = 7659/872 + 10/109. Find the common denominator of a and 1/4 - f/24.
8
Find the common denominator of (-3)/4 - 54/4 and 9/21 + 5 + 9796/(-1624).
116
Let v(d) = -d**2 - 11*d + 32. Let j be v(-13). What is the common denominator of 19/j*108/84 and -31/12?
84
Let l(o) = 1 + 2*o - o + 3. What is the smallest common multiple of l(-3) and -2 - -3*3 - (54 - 52)?
5
Let j = -2 - 6. Let t = j - -12. Suppose 3*k + 15 = 0, -2*k - 2 = u - 1. What is the least common multiple of u and t?
36
Let r = 1321 - 14516/11. Let h(g) = g**3 - 7*g**2 - g + 9. Let y be h(7). What is the common denominator of y*1*120/50 and r?
55
Suppose 69 - 49 = 4*d. What is the common denominator of d/((-165)/186) + 2/2 and -49?
11
Let c = 5176/9 + -576. Let r be 4 + (-892)/(-40) - (-1 - 0). Let d = r + -2501/70. What is the common denominator of d and c?
63
Suppose 0 = 3*z - 346 - 2909. Let r = -67257/62 + z. What is the common denominator of 113/12 and r?
372
Suppose 5*w - 24 = -9. Let u = w - -6. Let p(o) = -7*o - 58. What is the smallest common multiple of p(-9) and u?
45
Let j = 2432 - 14645/6. Calculate the common denominator of (89/4)/((-63)/(-14)) and j.
18
Let o be 5/(-25) - 38/10. Let n(g) = -12*g - 24. Calculate the lowest common multiple of n(o) and 24.
24
Let c be (3/10)/(7 + 1603/5). Let h = -26393/3276 + c. What is the common denominator of 33/62 and h?
558
Let m = -13/84 + -48487/420. Let z be 2/(-42)*(-74543)/(-30). Let c = m - z. Calculate the common denominator of 17/12 and c.
36
Let o be 3/3*0 - -2. Let v(a) = a**3 - a**2 - 2*a + 2. Calculate the lowest common multiple of 7 and v(o).
14
Suppose 5*l + 7 + 15 = 2*g, -5*l + 3*g - 23 = 0. What is the common denominator of 78*1*(-2)/(-28) and (-8)/(-1)*l/44?
77
Suppose 2*m - 6*m + 98 = z, -3*m - 5*z + 82 = 0. Calculate the lowest common multiple of m and 24.
24
Let m(z) = -6*z**3 - 2*z**2 + 8*z. What is the least common multiple of 12 and m(-2)?
24
Let y = 9619/3996 + 1/3996. What is the common denominator of y and -2/279?
837
Suppose 17*z + 8549 = 100*z. Calculate the lowest common multiple of z and 11.
1133
Find the common denominator of (3/216)/((-23)/1265) and -67/33.
792
Let a be ((-86)/8)/(1/4). Let c = a + -7. Find the common denominator of -63/16 and 340/c - (-1)/(-2).
80
Let r = -2289 + 9105/4. Let k = r - -493/20. Find the common denominator of k and -5/18.
90
What is the common denominator of 6/(-20)*(-142)/(-12) and (-55 + 1)*(-3 + (-203)/(-68))?
340
Let f be (443811/(-2))/(-11 + 1). Let o = -22195 + f. What is the common denominator of (1674/(-288))/(1/4) and o?
20
Suppose -3*u = -3*r, 4 = 4*r - u - 5. Suppose 4*s - r*s - 4 = 0. Suppose 15 = g + 2*i, -4*i = s*g - 3*i - 53. Calculate the least common multiple of g and 1.
13
Let o(t) = -111 + 4*t + 80 - 2*t. Calculate the least common multiple of 33 and o(17).
33
Suppose 6*l - 10*l - 4 = 4*a, -4*l = 2*a - 2. What is the lowest common multiple of (-3 + -5)/(l/(-3)) and 32?
96
Find the common denominator of 25/36*-38*3/(-15) and -73/18.
18
Calculate the common denominator of -117/190 and (3/(-456)*-1)/((-42)/987).
1520
Let n(z) = 15*z**2 - 90*z + 12. Calculate the least common multiple of n(6) and 15.
60
Suppose -38*w + 34*w - z + 59 = 0, 0 = z + 5. What is the smallest common multiple of w and 16?
16
Suppose -44 = -3*k + k. Suppose -5*x - d + k = 2, -x - 7 = -2*d. What is the least common multiple of 11 and x?
33
Let r(u) be the third derivative of u**4/24 - 3*u**3/2 + 12*u**2. Calculate the least common multiple of 14 and r(11).
14
Suppose -2*b + 6*b = 3*q + 89, -8 = -b - 4*q. What is the least common multiple of b and 30?
60
Suppose 3*a - 11 = -2*m + 1, 0 = -2*m - 4*a + 14. Suppose 16 = -4*y - 0*y, -3*t + m*y = -48. What is the common denominator of (-4)/(-6) - 290/t and 7/2?
2
Let g = 426072 + -705170. Let x = -3159668460/11321 - g. Let b = 1098153/90568 + x. What is the common denominator of b and -61/12?
24
Let c = -2725/14 + 1376/7. What is the common denominator of c and -41/322?
322
Suppose 8*p - 20 = 4*p. Let o be (-2)/p + (-22)/(-5). Let l = o - -5. Calculate the smallest common multiple of 4 and l.
36
Let j = 6302411/135 - 46684. Find the common denominator of 3/7 and j.
945
Let i be (18/(-4))/((-27)/(-6228)). Let g = -3083/3 - i. What is the common denominator of g and (135/(-10) - 4) + (-4)/(-6)?
6
Let w(b) = 17*b - 59. Let o be w(19). What is the common denominator of 103/12 and (3 + (-1 - 0))/(o/(-32))?
132
Let c = -134 - -1143/8. Calculate the common denominator of c and (-1314)/56 + 8/(-28).
8
Let w = -166885 + 45726587/274. What is the common denominator of -11/18 and w?
2466
Let h = -22 + 16. Let c be (-12)/72 - (-83)/h. Find the common denominator of (-6)/c - 481/(-70) and -79/16.
80
Suppose -4*v + 2*v = -12. Suppose -20 = -v*u + 16. Suppose 0 = 5*t + 5*w, w + 4*w + 2 = -4*t. What is the least common multiple of t and u?
6
What is the common denominator of -131/36 and 182/(-256) + ((-228)/24)/(-19)?
1152
Let g = 733 + -5787/8. Calculate the common denominator of g and 101/16.
16
What is the lowest common multiple of 192 and 55552/384 - (8/(-6) + 2)?
576
Suppose -80 = -4*s + p, s + s - 26 = 4*p. Calculate the least common multiple of 14 and s.
42
Let b = -9259 - -32415766/3501. Let k = 39275/7002 + b. Let u = -3399 - -34023/10. Find the common denominator of k and u.
90
Suppose -2*h - 1916 = 2*d - 200, -2*d = -h - 855. Let p = h - -1783/2. What is the common denominator of p and -115/6?
6
Let p be 2708449/30 + (-6)/(-6). Let y = 458334/5 - p. Let r = y + -1377. Calculate the common denominator of -31/16 and r.
48
Let u = 4377/11 + -12969073/32593. Let r = u - 192579/23704. Find the common denominator of 31/10 and r.
40
Suppose 96*u - 86*u - 90 = 0. Suppose 65 = 2*n + 11. What is the least common multiple of u and n?
27
What is the common denominator of 4/6 - 44/24 and (-111)/(-10) - 42/(-105)?
6
Let t be 30/254*4188/81. Let p = -70/127 + t. Find the common denominator of p and -58/7.
63
Let n = 302 - 196. What is the smallest common multiple of 10 and n?
530
Let h be -14*(-1 + 1/2). Let c(q) = 5*q - 12*q**2 - h*q + 3 + 11*q**2 - 5*q. Calculate the least common multiple of 1 and c(-6).
9
Let j(t) = 13*t**2 + 1. Let s be j(1). Suppose -h - 5*u - s = 0, -2*u - 5 = 3. Calculate the smallest common multiple of h and 1.
6
Suppose -3*k - 53 = -71. What is the least common multiple of k and 27?
54
Let d = -14 + 0. Let f = d + 20. What is the least common multiple of f and ((-3)/9)/((-2)/84)?
42
Let j be 5 - (-165)/(-35) - (-195578)/(-140). Let u = j - -1388. What is the common denominator of -85/16 and u?
80
Suppose 2*z - 7*z = 25. Let i be z/(-10) + (-49)/(-2). Suppose 0 = -2*f - 5 + i. What is the least common multiple of 20 and f?
20
Let o = 13379227/108 + -502989/4. Let l = -1868 - o. What is the common denominator of 99/10 and l?
270
Let l(q) = q**3 - 6*q**2 + 8*q - 27. Calculate the lowest common multiple of l(6) and 70.
210
Let j = 689 + -22107/32. Let m = j - -643/32. Calculate the common denominator of -73/16 and m.
16
Let x(b) = -b**3 - 12*b**2 - b - 2. Let n be (8 - 0)/2*1. Let a be (n/4 + 11)/(-1). Calculate the lowest common multiple of x(a) and 30.
30
Let p = -15 - -14. What is the common denominator of (78/16)/(18/8) and p*6/(-15) + 2530/(-200)?
12
Let z(a) = 2*a**3 + 18*a**2 + 11*a - 34. What is the lowest common multiple of 170 and z(-7)?
170
Let z = 114 - 74. Let p = 4363 - 34971/8. Find the common denominator of 662/(-180) + (-24)/z and p.
72
Suppose -6*k - 20 = 4*p - k, -12 = -5*p + 3*k. Let b(o) be the third derivative of o**5/60 + 2*o**2. Calculate the common denominator of -47/7 and b(p).
7
Let t = -259 - -385. Calculate the smallest common multiple of t and 162.
1134
Let g = -76100 + 27227. Let v be 14/(-7) - g/(-20). Let k = -2445 - v. Calculate the common denominator of k and -53/12.
60
What is the smallest common multiple of 60 and ((-54)/(-21))/(194/(-28) - -7)?
180
Suppose g - i = 102, 0 + 98 = g - 3*i. Calculate the least common multiple of g and 16.
208
Suppose 869 = 4*u + 253. What is the common denominator of ((-9)/(-4))/(15/(-2