2
Suppose 0 = -3*r + 3*q + 288, 0*q + q + 3 = 0. Find the common denominator of 266/(-36) + (-2)/6 and 2/10*r/(-6).
90
Suppose -1205 + 19356 = -5*s - 3*h, -4*h = -12. Let m = s - -14429/4. Find the common denominator of m and -17/8.
8
Let a = -14 + 21. Let s = a - 2. Calculate the least common multiple of 1 - 3*14/(-21) and s.
15
Let j = -816 - -819. Calculate the lowest common multiple of j and 41.
123
Suppose 3*r = 52 - 10. Let d = r + -7. Calculate the lowest common multiple of d and 8.
56
Let o be ((-181)/(-18))/((-3)/(-30)). Let b = -101 + o. Let r = -192/67 + 5614/603. What is the common denominator of b and r?
9
Suppose 13*y - 16*y + 192 = 0. Suppose 4*s - o = s + 61, 3*s - y = 4*o. Calculate the least common multiple of s and 14.
140
Suppose 8 = 5*t - 3*t. Suppose -3 - 37 = -t*d. Let b = 12 - 7. What is the smallest common multiple of b and d?
10
Let h(w) = w**2 - 4*w + 2. Let r be h(6). What is the lowest common multiple of -14*((-6)/(-4) + -2) and 2 + r/2 + -2?
7
Let k = 24 + -14. Calculate the least common multiple of 3/(6/8) + -2 and k.
10
Let b = 63 - 67. What is the common denominator of -26/7 and (76/10)/(112/(-35) - b)?
14
Let x(q) = -3*q**2 + 8*q - 11. Let a(c) = -4*c**2 + 9*c - 12. Let j(f) = 5*a(f) - 6*x(f). What is the least common multiple of j(0) and 8?
24
Let z(q) = -q - 1. Let a be z(-9). Let f be -3 - (0 - (-17 - 4)). What is the least common multiple of a/f + 20/6 and 1?
3
Let i = 4349 + -4317. What is the lowest common multiple of i and 37/2 + 3/(-6)?
288
Let v = -815 + 1255. Calculate the common denominator of (-1394)/v + 1 - (-6)/(-33) and 149/6.
60
Suppose -4*w - 4*n + 4 = 0, -w + 1 = 4*w + 4*n. Let f(g) = 2*g**2 + 5*g + 3. What is the smallest common multiple of 14 and f(w)?
42
What is the common denominator of 75/30 - 395/275 and 25/77?
770
Suppose 60 = 6*g - 84. Find the common denominator of 35/4 and (-34)/(-48) + g/144.
8
Suppose -7*t + 30 = -2*t + 2*k, 4*t - 47 = 3*k. Let a(x) = x**2 - 9*x + 12. Let n = 149 + -148. Calculate the least common multiple of n and a(t).
4
Let q = -31 + 45. Suppose -5*j = -2*j - 15. Calculate the smallest common multiple of j and q.
70
Let q = -9913/3801 + -2/181. Find the common denominator of q and (-2 + (-32)/(-22))*(-104)/(-36).
231
Suppose 3*u - 134 = 97. What is the smallest common multiple of u and 21?
231
Let n = 2477732515197275285/6820036314 + -1449949850216/3991. Let q = n - -5/284809. Let h = -2933 - q. Calculate the common denominator of h and 43/6.
6
Let j(m) = m**2 + m + 4. Let t(d) = d. Let u be t(-3). Suppose -11*a + 99 = -0*a. Calculate the smallest common multiple of a and j(u).
90
Let h be 24666/37080*(-99)/24. Let i = -13/515 - h. Find the common denominator of 19/11 and i.
352
Let u(t) = t**2 - 2*t + 7. Let i be u(5). Suppose 2*v = -v - m + i, 5*v = 2*m + 55. Calculate the lowest common multiple of -1 + v - (1 + -1) and 6.
24
Let y(t) = -3*t + 22. Let v be y(6). Calculate the common denominator of -59/6 and (v/(-8) + 0)*-67.
6
Suppose 28 + 24 = 13*s. Suppose -3*f + 0*b - b = -22, 0 = 5*f - 5*b - 10. What is the smallest common multiple of s and f?
12
Let x = 80 + -49. Find the common denominator of x/6*(-3)/(30/4) and -63/5.
15
Suppose 2*m = 4*i - 4716, 0*i + 2350 = 2*i + 3*m. What is the least common multiple of i and 18?
10602
Let b = 285833/28870 - 2/2887. Let w = 311517952283/9572512 - -206/299141. Let m = w + -32540. Calculate the common denominator of m and b.
160
Let p be 1*((-8)/12)/(4/6). What is the smallest common multiple of (-64)/8*-3 - (-4)/p and 80?
80
Suppose -14979 = -5*c - h - 4541, -10434 = -5*c - 3*h. Let z = c + -12635/6. What is the common denominator of z and 51/14?
42
Let t(a) = -17*a - 372. What is the smallest common multiple of 92 and t(-24)?
828
Let v be -2 + (-136)/(-60)*63. Let a = 692/5 - v. Find the common denominator of -18 and a.
5
Let s = -9187 - -84232/9. Let r = s - 15313/90. Find the common denominator of -51/4 and r.
60
Let v = -7 + 13. Find the common denominator of v/(-20)*19/(-1) and 671/(-121) + (-2 - -3).
110
What is the common denominator of (2/18)/(13/(3666/(-96))) and 23/8?
144
Let x(a) = a + 6. Suppose 5*c - 107 = -g - 2*g, -g + c = -33. Let r = -28 + g. What is the least common multiple of r and x(10)?
48
Let i = -4369 - -12637. Calculate the common denominator of -43/3 and i/(-5544) - (-1 - 9/(-11)).
42
Let j = -197/80 - 3/5. Calculate the common denominator of 5/3 and j.
48
Let r be 3 + 1 + 0/(-1). Suppose -4 = -q + r. Calculate the smallest common multiple of 3 and ((-6)/4)/((-6)/q).
6
Let g = 13231/1148 - 597/41. Calculate the common denominator of 17/168 and g.
168
Suppose 4*o - 2 = 2*j, -j - 9 = 4*o - 26. Suppose 0 = -5*h - j, 4*y + 3*h - 5 = -0*h. Calculate the lowest common multiple of 22 and y.
22
Let a = -714 + 1441. Let v = a - 7219/10. Calculate the common denominator of ((-318)/180 - 1/3) + (-14)/(-7) and v.
10
Let c(m) = -m + 11. Calculate the smallest common multiple of 125 and c(7).
500
Let o = -1/16694 + 479956/58429. Find the common denominator of o and 2/78*654*1/(-8).
364
Let k be (15/(-20) + (-33)/36)*-3. Suppose -p - 4*p + k = 0. Calculate the lowest common multiple of p and 7.
7
Let f = 2/6153 + -75893/18459. Calculate the common denominator of ((-4)/2)/(78/(-81)) and f.
117
Let c = 3 - 4. Let b be c + (3 - 4) + 8. Let f(g) = g**3 - 6*g**2 + g - 2. What is the lowest common multiple of 22 and f(b)?
44
Suppose -286 = -2*v - 0*v. Let k be (v + -5)*10/4. Calculate the common denominator of k/18 - (-9)/6 and 58/5.
15
Let t = 5/126 - 2551/252. What is the common denominator of -107/10 and t?
60
Let n be (41/8)/((-1)/(-186)). Let l = 64759/68 - n. What is the common denominator of ((2625/20)/(-7))/(27/(-3)) and l?
204
Let r be (6/7)/((-256)/(-105616)). Let y = r - 342. Calculate the common denominator of y and 49/2.
8
Suppose -3*m + 6 = 4*i - 6, -2*m = 4*i - 12. Suppose m = 5*o - 18*o + 351. Calculate the lowest common multiple of 33 and o.
297
Suppose -2*w = -3*w + 20. Suppose 5*s = -4*u + 29, 0 = 2*u - 3*u + 1. Suppose -s*q + 4 = -3*q. What is the lowest common multiple of q and w?
20
Let t = -17339/1292 + 7/1938. Let j = 13/2 + t. Calculate the common denominator of j and 2/(-5)*268/(-32).
60
Find the common denominator of 63/20 and 21/(-105) - (-3479)/(-780) - -4.
780
Let c(z) = 2*z - 19. Let a be c(8). Let j(k) = -2*k**3 - 5*k**2 - k + 4. Calculate the lowest common multiple of j(a) and 12.
48
Let a = -325 + 457. What is the common denominator of (-302)/6*(-23)/46 and (-4)/(-22) - 30/a?
66
Let c be (-1)/(-3) + -10*12927/(-18). Let z = 57533/8 - c. Let g = 3996 - 39853/10. What is the common denominator of z and g?
40
Let n be 1/1 - 25618/4452. Let y = n + -5/159. What is the common denominator of y and -143/12?
84
Suppose 5 = -5*l - 3*q, 0 = 5*l + q + q. Suppose -l*h + 5*h = -6. Calculate the least common multiple of 3 + 3/(-6)*h and 16.
16
Calculate the common denominator of (-10)/(-6)*(-1341)/(-540) and -59/180.
180
Suppose -3*z + d + 0 = -1, -3*z + 3*d + 9 = 0. Let x = 5 - z. Calculate the smallest common multiple of x and 11.
66
Let b(w) = w**2 - 9*w + 30. Calculate the smallest common multiple of 33 and b(0).
330
Let t = -259/30 - -134/15. What is the common denominator of -133/60 and t?
60
Suppose -14*x - 10 = -290. What is the lowest common multiple of 100 and x?
100
Let z(s) = 2*s**2 + 10*s + 8. Let r = -18 - -23. Suppose 38 = -5*j + 4*q, -4*q + 36 = -r*j - q. Calculate the smallest common multiple of 12 and z(j).
60
Let w = 269 + -264. What is the least common multiple of 1 and w?
5
Let x(o) = -o**3 + 6*o**2 + 8*o + 7. Suppose n - 9 - 5 = -3*v, 38 = 4*n + 3*v. Calculate the smallest common multiple of n and x(7).
56
Calculate the common denominator of 99/14 and (-699)/302 - (16 - 18).
2114
Let s(y) be the first derivative of 3*y**2/2 - 1. Let h be s(1). What is the common denominator of 61/14 and (((-222)/(-4))/h)/(-4)?
56
Let g(j) be the first derivative of -35*j**2 - 6*j - 2. Let n be g(6). Let x = 1267/3 + n. Find the common denominator of x and 19/9.
9
Suppose -1084 = -11*g + 148. Calculate the least common multiple of g and 88.
1232
Suppose -3*r - 10*r = -403. Suppose -5 = -3*l + r. Let x = 1099003/90830 - -4/9083. Calculate the common denominator of l and x.
10
Suppose 