-8200580 - -688833629/84. Let p = -1278/7 - k. Find the common denominator of p and m.
12
Let o = -225567916 + 1500252215374/6651. Let d = -1/3695 - o. What is the common denominator of 14/5 and d?
45
Let k = -30178/65 + 12191301/26260. Find the common denominator of -46/5 and k.
2020
Let j(r) = r**3 - 6*r**2 + r - 7. Suppose i + 3*i = 5*x + 53, -5*i + 5*x = -60. Let z be j(i). Let c = -41 + z. What is the least common multiple of 12 and c?
24
Let p = 377 + -233. Let q(a) = 2*a**2 - 13*a + 43. Let r be -5*99/(-110)*(-2)/(-3). Calculate the smallest common multiple of p and q(r).
1584
Let z = -2141 + 3021. Suppose -z = 29*s - 49*s. Calculate the lowest common multiple of s and 52.
572
Let b = 128 - -40. Calculate the lowest common multiple of 2 + b/(-90) - (-178)/15 and 42.
84
Suppose -33*b + 29*b - 28 = -4*i, -3*b - 1 = i. What is the lowest common multiple of i and 2848?
14240
What is the common denominator of 67/385 and (12/(-198))/(1988/2604 + 1/(-3))?
1540
Suppose -14 = 2*h - 3*n, -12*n = 2*h - 11*n - 2. Calculate the common denominator of (-715)/(-210) + 2/h and 56/39.
546
Let r = -1708434011/55580 + 215168/7. Find the common denominator of 19/8 and r.
15880
Let z(c) = -2*c**3 + 9*c**2 - 9*c - 1. Let s be z(-6). Let u = s + -3253/4. What is the common denominator of u and -35/2?
4
Let d(f) = 3*f + 40. Let l be d(-7). What is the common denominator of -99/82 and (l/57)/((-6)/40)?
738
Suppose 0 = 4*j - 12, -1045036 = 5*b - 3*j + 6*j. Let x = b - -10033313/48. Let w = 127/8 - x. Find the common denominator of 49/2 and w.
48
Let j = 12025 - 11920. Calculate the least common multiple of j and 16.
1680
Suppose 2*v + 39*v + 710407 = 0. What is the common denominator of 4/22 + (v/(-3135) - 6) and -14/45?
855
Let x be 8/2*(1 + 0) - -6. Suppose 13 - 493 = -x*o. Calculate the lowest common multiple of -3 - (16/4 + -15) and o.
48
Suppose -6*c - 21 = -9*c. Let h be 68/16 + (-2)/8. Let f(m) = -m**2 + 5*m + 1. Calculate the least common multiple of c and f(h).
35
Let h be 1/(-1) - 316/(-292). Let c = 18997487/60882 - 44497/139. Let z = c - h. What is the common denominator of z and -31/46?
138
Calculate the least common multiple of 2 and (-3 - -9)/((-5)/(-2660)).
3192
Let p(s) = -2*s**3 + 37*s**2 + 79*s + 1. What is the smallest common multiple of p(-2) and (1 + -2)*1*-9?
63
What is the common denominator of -19/16 and 222309/48654 - (2 - -3)?
2544
Let n = -9355/2 + 4535. Let x = n + 152. What is the common denominator of x and -73/34?
34
Calculate the common denominator of (4/72)/(75166/(-6258) - -12) and 71/126.
630
Let l = 483 - 478. Suppose -l*j = 23 - 53. Calculate the smallest common multiple of j and 261.
522
Let c be (-2990)/8 - (-3)/(-12). Let s = -1156493/16 - -72281. Calculate the common denominator of s and (-1)/(-5)*c/(-24).
240
Let l(k) = 8*k**2 - 65*k - 55. What is the smallest common multiple of 722 and l(9)?
2888
Let u be (0 + 321)*(-2)/(1 + 1). Let s(z) = z**2 + 6*z + 4. Calculate the common denominator of -4 + (2/8 - u/20) and s(-5).
10
Let q = -20492611/26100 + 19629/25. What is the common denominator of q and -181/5220?
5220
Let u(c) = -c**2 + 11*c - 7. Let t(s) be the first derivative of s**2/2 + 9*s - 4. Let z be t(0). Calculate the lowest common multiple of 10 and u(z).
110
Let g = 69 - 67. What is the lowest common multiple of 1 and ((-99)/(-3) + g)*(-16)/(-5)?
112
Let c = 4643 + -2819. What is the least common multiple of c and 10?
9120
Let n = 43753/33 - 3986/3. Let o = 74/113 - -11803/1130. Calculate the common denominator of o and n.
110
Let n(c) = c + 23. Let r be n(-18). Calculate the common denominator of 1/8 and r + (-318)/66 - 526/231.
168
Let c = 19486 - 19458. What is the lowest common multiple of c and 4868?
34076
Let z be (-2)/(-5) - 114576/(-110). Let p = z + -28138/27. Calculate the common denominator of -83/21 and p.
189
Let c = 936 + -452. Suppose 7*p - 2*p - 828 = 3*z, -3*p + 5*z = -c. Calculate the common denominator of -79/15 and 4/(-2) + (-455)/p.
120
Let j = -25927/168364 + -100/859. Find the common denominator of -87/352 and j.
17248
Let w = -34 + 39. Suppose -3*a = -2*q - w, a - 2*q - 2 = -q. What is the common denominator of ((-12)/(-70))/(a*12/195) and -33/14?
14
Let t = 108 - -64. Let n(x) = x**3 - 5*x**2 - 1. Let j be n(5). Find the common denominator of -1 - (t/24)/j and -11/54.
54
What is the common denominator of ((-740)/184 + 0 + 4)*(-27384)/1467 and 174/21 + 1*-2?
483
Let c = 97567/18 + -5427. Find the common denominator of -1/633 and c.
3798
Let x = -70 + 84. Suppose -75 = -x*v + 11*v. Calculate the smallest common multiple of 11 and v.
275
Let q = 8194 + -614564/75. What is the common denominator of q and 76/87?
2175
Let l = -8568 - -120005/14. Let m(g) = 3*g + 48. Let q be m(-28). What is the common denominator of 325/112 + q/(-28) + -1 and l?
112
Suppose 2*v - 3*q = 1198, 22*v - 19*v = -2*q + 1784. Calculate the least common multiple of 32 and v.
4768
Suppose 43 + 137 = 4*s. Find the common denominator of (-77)/12 - s/(-9) and -39/4.
12
Let q(o) = -931*o - 2790. Calculate the least common multiple of 1692 and q(-3).
1692
Let o = -1/2851 + -784009/45616. Let n = 47/16 + o. Calculate the common denominator of 4/6 - (-27)/(-6) and n.
12
Let t = 25810616/282583 - 14433/158. Calculate the common denominator of -131/18 and t.
64386
What is the common denominator of 1041/3620*7 - (8 + -15 + 9) and -149/12?
10860
Let n be 321 - (-8 - (-28)/7). Let d = 337 - n. What is the lowest common multiple of 18 and d?
36
Let v = 77/6 + -347/24. Find the common denominator of 1/((-14)/(-8)) - 831/462 and v.
88
Let u = -20671/21906 + -1/1217. Let r be 813/6*1/4. Let y = -2611/72 + r. What is the common denominator of y and u?
18
Suppose 3*i - 9*i - 108 = 0. Calculate the common denominator of 193/330 and (-5)/(-25) + i/240.
1320
Suppose 3*q - 5*q + 3*l + 8843 = 0, -4*l + 17696 = 4*q. Let d = -2206 + q. Let f = d + -35389/16. Find the common denominator of -59/12 and f.
48
What is the common denominator of (0 - (-3)/189)/((-4800)/(-24416)) and 37/1080?
5400
Suppose -24*w - 304 = -100*w. Calculate the least common multiple of 12 and w.
12
Let v(b) = -b**2 + 72*b - 1181. Let y be v(29). Let m be -57 + 1 + 0 + -1. Let t = y + m. Calculate the smallest common multiple of 11 and t.
99
Let m = -173269/740480 - -240/1157. Calculate the common denominator of m and 83/80.
640
Let a = 273/212 - 9283/11448. Calculate the common denominator of a and 91/2.
216
Let h = -85884 - -3864458/45. Let m = h - -68/9. Calculate the common denominator of m and -39/7.
35
Suppose 123*u = 12*u + 23976. What is the smallest common multiple of 144 and u?
432
Let y(h) = -h**2 - 15*h - 20. Let n be y(-14). What is the common denominator of -87/8 and (27/4)/(4/18*n)?
16
Suppose -28 = 2*s - 28. Suppose -2*y - 102 - 22 = s. Let b = 98 + y. Calculate the smallest common multiple of 2 and b.
36
Let i = -6075 + 7213. Calculate the smallest common multiple of 3 and i.
3414
Suppose 0 = -11*b + 13*b + 130. Let a = b + 64. Calculate the least common multiple of (-7 + 3)*(-5 - a) and 20.
80
Suppose -3*j = -6 - 3. Let m(i) = 4*i**3 - 3*i**2 + i + 2. What is the lowest common multiple of m(j) and 4?
172
Find the common denominator of 45/484 and (-37 - -36) + (-451)/(-324).
39204
Find the common denominator of -26/393 and (28/(-18) - 2/(-4))/((-200)/(-60)).
7860
Let m(f) = -f + 36. Let k be m(15). Let j be (-2 + k/(-6))*2. Let l = j - -25. What is the least common multiple of 16 and l?
112
Find the common denominator of (-3*(-15)/9 - 0)*(-2)/(-828) and 31/759.
4554
Let y = 24509 + -22983. Calculate the least common multiple of y and 654.
4578
Suppose 0*k + h = -5*k + 465, 5*h = k - 119. Suppose 5*x + o - 155 = -o, -3*x + k = o. What is the lowest common multiple of x and 24?
264
Let w(b) = -29*b**3 - b**2. Let u(d) = d**3 - 67*d**2 + 136*d - 8. What is the lowest common multiple of w(-1) and u(2)?
28
Let w be (-26 - -1070)*(-4)/(-66). Let p = 6509/110 - w. Calculate the common denominator of p and 1*(2 - 57/34).
170
Let s = 191169 + -10514364/55. Let t = -23429/55 - -426. Calculate the common denominator of t and s.
55
Let y(a) = -a**2 - 2*a + 5. Suppose -10*r = -19*r. Let m be y(r). Calculate the lowest common multiple of (-69)/4*m/10*-8 and 5.
345
Let