What is the lowest common multiple of (t/(-6) - -1)*306/(-102) and 9?
72
Let o(n) = 1081*n**2 - 141*n - 142. What is the lowest common multiple of o(-1) and 900?
5400
Suppose 0 = -20*x - 3764 - 7576. Calculate the common denominator of (-2 - 15/(-12))*(-1029)/x and -83/22.
396
Let s(w) = -w**2 - 11*w + 18. Let t be s(-12). Calculate the least common multiple of ((-10)/4)/((-2)/4) and (-22)/(-6) - t/9.
15
Suppose -4*h - 11 = -67. Suppose h = -c + 47. What is the common denominator of (-440)/c + 1 + -1 and -95/6?
6
Calculate the common denominator of 22*(-2)/36*(6/(-2) - -6) and -5/3763.
11289
Suppose -308 - 307 = 41*d. Calculate the common denominator of 73/6 and 249/15*(-1)/d.
150
Let d = -610 - -631. Calculate the least common multiple of d and ((-8)/6)/(-1) - (-4)/(-12).
21
Let x be (-774)/(-7940) + 3/(-30). Let q = x + 21053/4764. Calculate the common denominator of -35/4 and q.
12
Let f = 242723/16 - 15175. Find the common denominator of f and 37/17.
272
Suppose -20 = -4*t + 2*t. Suppose 110 = -27*u + 37*u. What is the smallest common multiple of t and (u + -2)/((-9)/(-42))?
210
Suppose -2*r - 2*u = -0*u - 19944, -3*r = -4*u - 29902. Suppose 4*a - 2962 + r = 0. Let x = 17587/10 + a. Calculate the common denominator of x and -37/2.
10
Let u = 11408581/182 - 62684. Find the common denominator of u and -16.
182
Let q = -162 - -167. Suppose -q*g + 195 = -5*f, -4*g + 2*f + 183 = 7*f. What is the smallest common multiple of g and 42?
42
Suppose 2*v = 3*s - 4847, 8089 = -99*s + 104*s + 2*v. What is the lowest common multiple of s and 21?
1617
Suppose 2649 = 3*p - 4*o + 2577, 4*o = -4*p + 40. What is the lowest common multiple of 22078 and p?
176624
Find the common denominator of 77/24 and (-1 - (-2346)/756)*(-39)/2145.
5544
Let z = 53897/63710 - 197/277. Find the common denominator of z and 1/14.
1610
Calculate the common denominator of (3/6)/(13/97) and (-207*(-1)/30 - 7)*(-765)/12 - 5.
104
Let t(g) = g - 4. Let u be t(9). Let s be (2 - 3) + 10/u. What is the common denominator of 61/6 and 426/(-24) - (s + -4)?
12
What is the lowest common multiple of 12 + 143/(-11) - -87 and 6?
258
Let y(w) = w**3 + 27*w**2 - 282*w - 16. Calculate the lowest common multiple of 84 and y(9).
15204
Find the common denominator of -54/11 and 2/(-138)*-3 + 5082/(-617320).
13420
Let h(v) = v**2 - 9*v - 12. Let g be h(10). Let s be 6*(-6)/(-4)*(g + 1). Calculate the common denominator of 3/s + 973/(-168) and 57/7.
56
Let z(j) = -12*j**3 - 6*j**2 - 6*j + 10. Let b be z(8). Let q = b - -98416/15. Find the common denominator of (-80)/80 - (-59)/12*2 and q.
30
Suppose -808 = -36*k + 21*k + 2*t, -4*k = -4*t - 212. What is the smallest common multiple of 6858 and k?
6858
Calculate the smallest common multiple of 32 and (190 + -10)*6/15.
288
Let i = -24 + 59. Suppose 0 = i*p - 37*p + 6. What is the least common multiple of 57 and p?
57
Let c = 10 - 7. Let p(j) = j**3 - 7*j**2 + j + 51. Let y be p(5). Suppose -l + c*f = l - 2, 3*f = y. What is the smallest common multiple of 12 and l?
12
Let i = 193 + -108. Suppose n = -5*o + 6*n + i, 0 = -4*o - n + 48. Suppose o*a - 10*a = 6. Calculate the lowest common multiple of 1 and a.
2
Suppose -8 = 2*w, -w + 2*w - 7592 = -c. Let a = c + -23396/3. Let o = -214 - a. Find the common denominator of o and -19/28.
84
Suppose -f - 26 - 8 = -3*t, -f = 3*t - 26. Suppose n + t - 9 = 0. Find the common denominator of -131/42 and ((-4)/(-15))/(((-44)/40)/n).
462
Let m = 218545/33 + -6622. Let w be (-232)/(-8) + 12/3. What is the common denominator of 574/(-264) + 3/w and m?
132
Suppose 4*m + 252 = -w, -4*w + 280 = -5*w + 3*m. Let l = w - -464. Calculate the smallest common multiple of (-118)/(-10) - (-17)/85 and l.
588
Suppose 4*f = -4*u - 16, 0 = -u + 1 - 4. Let x be 460/10*(-641)/20*f. Let t = x + -1462. What is the common denominator of 125/6 and t?
30
What is the smallest common multiple of ((-12)/(-22))/((133 + -132)/(22/4)) and 1167?
1167
What is the common denominator of -43/286 and ((-14)/245)/((-832)/2680)?
4004
Suppose -5*u = -5*y - 360, -3*y - 26 = 5*u + 166. Let c = y - -97. Calculate the smallest common multiple of 4 and c.
28
Let w be (1/2)/(-1) - (-570646)/(-209). Let c = 2730 + w. Calculate the common denominator of -31/7 and c.
154
Let h be (-66)/(-27)*(-129927)/19628. Let t be 220/15422 + 0 + 0. Let y = t + h. What is the common denominator of y and -35/6?
6
Calculate the common denominator of -81/50 and 190/(-950) + 1899/9840.
16400
What is the common denominator of (-148668)/(-14560) - (-20)/(-2) and -5/28?
280
Let j(m) = -5 - 5 + 17 + 2*m. Let x be j(-6). Calculate the common denominator of 5/x*94/(-44) and -56/11.
22
Let n(a) = -a**3 - 10*a**2 - 4*a - 27. Let t be n(-9). Let x = 120/331 + -473/35086. What is the common denominator of ((-1)/2)/(t/(-333)) and x?
848
Let b = -2386012893/362 - -6591186. Let t = b + 2/543. What is the common denominator of 139/36 and t?
36
Let n(f) = -f**2 + 4*f - 1. Let t be n(3). Let k = -1641 - -3207/2. Find the common denominator of t/(-20)*76/4 and k.
10
Suppose 2*n + 284 = 2*d + 266, 0 = -4*d - 9*n + 75. Calculate the lowest common multiple of d and 3084.
3084
Suppose 0 = 5*y + 5, -5*s + s - 92 = 4*y. Let w(t) = t**3 - t**2 - 13*t + 31. Let r be w(0). Calculate the common denominator of -41/5 and (9 - 287/35)*r/s.
55
Let o(r) be the first derivative of 7*r**2/2 - 16*r - 17. Let b be o(5). Suppose 0 = -9*c - b + 163. What is the least common multiple of c and 4?
16
Let p(h) = -h**2 + 21*h + 8. Let f be p(21). Suppose 0 = 6*d - f*d + 23456. Calculate the common denominator of -63/4 and 2/5 - d/1920.
24
Let q = 953020 - 1446684439/1518. Find the common denominator of q and 143/2346.
25806
Let o = 6538 - 6428. Calculate the smallest common multiple of 1100 and o.
1100
Suppose 9*d + 60 = 12*d. Calculate the smallest common multiple of 40 and 3/(-2)*(d - 22) - -9.
120
Let w be (3/6)/(1/12). Find the common denominator of -25/27 and (-7)/w*42/27.
27
Find the common denominator of (56/(-1568))/(580/(-144)) and -14.
1015
Suppose 0 = -20*z - 5*z + 7325. Let g = 341 - z. What is the smallest common multiple of 3 + (-3 + 1 - -1) and g?
48
What is the common denominator of (-9)/((-6192)/440)*21/120 and -39/1376?
1376
Suppose 0 = 2*s - 5*z - 1445, -s - 11*z + 13*z = -721. What is the smallest common multiple of 585 and s?
6435
Suppose 4617 + 1911 = -11*x + 27*x. Calculate the smallest common multiple of x and 1632.
1632
Suppose t = -0*t + 7. Let s(l) = -2*l - 12257*l**3 + 12256*l**3 - 42 - 54*l**2 - 20. What is the least common multiple of t and s(-54)?
322
Suppose 2*b - 5*w = -b + 9930, -b - 2*w + 3299 = 0. Suppose b = 9*s + 389. What is the smallest common multiple of s and 12?
324
Let w be -3 - ((-88)/8 - -5). Find the common denominator of (-2)/((-4158)/6985) + -1*w and -44/3.
189
Suppose -6*y - 5*w = -3*y + 1029, 0 = -5*y - w - 1715. Let g = 23811/7 + -3401. What is the common denominator of g and y/(-110) - (-2)/11?
70
Let d be 16/(4/(-1)) - -10. Let u be 48/36*d/4. What is the common denominator of 145/6 and (2/(-4))/(((-36)/(-142))/u)?
18
Let a(s) = 7*s + 8*s - 9*s - 3. Calculate the least common multiple of a(4) and 7/(-2 + 7/3).
21
Suppose -5*j + 1449 = -5311. Let i be (-5286)/(-4) - (2 - 1). Let s = j - i. Find the common denominator of s and -53/4.
4
Let m be 86/301 - 52/(-14). Suppose m*u = -2*q + 88, -5*q - 8*u + 241 = -5*u. Calculate the least common multiple of q and 100.
100
Suppose 0 = 3*p - 2*v + 214, -2*v - 290 = 17*p - 13*p. Calculate the least common multiple of 11 and (p + 48)/(4/(2*-1)).
132
Let y be 1 - -1 - 0/(4/1). Suppose y*a - 2*b = -b + 9, 4*a = -2*b - 2. What is the least common multiple of -2 + 67 - (a - -3) and 2?
60
Suppose 2*g = 4*b + 4, -34 = -7*g + 2*g + 4*b. Let l(w) = -w**3 - 5*w**2 + w + 11. Calculate the least common multiple of l(-5) and g.
30
Let z be 31 - 0*(-3)/(-2 - 7). Calculate the lowest common multiple of 108 and (62/z)/(1/12).
216
Suppose 8*q - 20 = 4*q. Suppose q = -2*g + 17. Suppose -g = -h - 0. Calculate the lowest common multiple of h and 8.
24
Let k = 8 + 17. Suppose -531*d + 11880 = 261*d. What is the lowest common multiple of k and d?
75
Calculate the least common multiple of 558 and (156/8 + 3)*72/30.
1674
Let r(h) = 6*h - 12. Let c be (-6)/2