-180)).
90
Let s = 232/6075 + -16/225. Let x = 231/38 - -1381/76. What is the common denominator of s and x?
972
Suppose 2*x = 4*q + 20, -4*q = -4*x - q + 30. Let f(j) = j**3 + j**3 + 2*j - x*j**2 + 2*j**2. Calculate the smallest common multiple of f(3) and 30.
120
Let n = 18 - 4. Find the common denominator of 9/3 - 151/n and 5 + ((-309)/(-135))/((-2)/5).
126
Let i be (28/70)/(1/5). Suppose -94 = 2*x - 5*u, i*u - 46 = x - 0*u. Let m = x + 74. Calculate the common denominator of 7 and m.
1
Let r = 3143 - 2037. Calculate the lowest common multiple of 1027 and r.
14378
Calculate the common denominator of 7/30 and (129/54)/(665/105).
570
Let q = -44201781449/6314450 - -2/3157225. Let r(i) = 7*i**3 - i**2 - 10*i + 8. Let a be r(-10). Let k = q - a. Find the common denominator of 99/8 and k.
40
Let y be 2 + ((-23518)/(-1524) - 1). Let x = y - -51/127. Let b = 12439/8 + -1560. What is the common denominator of b and x?
24
Let p = -34279649/6 + 104456683/18. Let m = -89712 + p. Let l = -2815/18 + m. What is the common denominator of l and -109/14?
42
Calculate the common denominator of 79/402 and 1 - (3 + 0) - 11005/32830*-6.
19698
Suppose -2 = k + 3, 4*a = k - 47. Find the common denominator of (76/10)/(15/(-25)) and a/(-13)*45/2.
6
Let p = 20 - 12. Calculate the lowest common multiple of 6*34/30 + (468/90 - 5) and 54/8 + 2/p.
7
What is the smallest common multiple of 3044624/224 - (-3)/252*-6 and 10?
67960
Suppose -68*f + 64*f + 2316 = 0. What is the least common multiple of 10 and f?
5790
What is the common denominator of 17/18 and (723/(-444)*2 + 2)*64/448?
4662
Let o(n) = n**2 - 12*n - 5 + n**2 - 6. Let x be o(-7). Suppose -3 + x = 7*s. What is the least common multiple of s and 27?
216
Let h(y) = -y**3 + 7*y**2 + 45*y + 8. Let s be h(-6). Suppose 2*b - s + 64 = 0. Calculate the lowest common multiple of 10 and b.
710
Suppose -88 = -17*c + 13*c. Let l = -74 + 128. What is the least common multiple of l and c?
594
Suppose 707*l - 3000 = 706*l. Calculate the least common multiple of l and 12.
3000
Let u(s) = 9*s**2 + 22*s + 74. Let j be u(-3). Suppose y + 106 = 29. Let z = y + j. Calculate the least common multiple of 30 and z.
60
Let b = -22462/423905 + -2/2845. Find the common denominator of 71/6 and b.
894
Let o = 812419/176 + -4616. Let h = 1751/528 + o. Let s = 0 + 1. Calculate the common denominator of s and h.
3
Let c(y) = -y**2 - 10*y - 9. Let b be c(-8). Let g(w) = -5*w - b + 15*w - 9 + 3 - w**2. What is the least common multiple of g(5) and 3?
12
Let s = 2808 + -2794. Calculate the smallest common multiple of (36/(-14))/(4/(-28)) and s.
126
Let l = -1/165063 - -5997299/1650630. Let d = 86013/10 + -8609. Calculate the common denominator of l and d.
30
Suppose 0 = -2*k - 6*k + 336. Let j = k - 42. Suppose j = 4*o - 27 - 13. Calculate the lowest common multiple of 8 and o.
40
Let w(h) = h + 9. Let u be w(-6). Suppose 5*z - 97 = 4*o, -4*z = -u - 1. What is the common denominator of 31/10 and o?
10
Calculate the common denominator of -115/372 and (-5)/(-372)*1166/(-212).
744
What is the smallest common multiple of (-10 + -1)*21/(-33) and (16/10)/((-10)/(-100))?
112
Let v be 14/4*-2*2. Find the common denominator of 67/34 and v/315*138 + (-2)/(-6).
170
Calculate the smallest common multiple of 928 and -3*(-3704)/48 + 2/4.
928
Let v = 1187/460 + -153/115. Calculate the common denominator of -97/144 and v.
144
Let j = 3497 - 2072. Suppose -18*b + 33 = -j. Calculate the common denominator of (-369)/b + 1/(-1) and -31/5.
45
Let v = 8/569 - 27969/6259. Find the common denominator of v and 67/132.
132
Suppose -103*s = 162*s + 13*s - 21684. What is the lowest common multiple of s and 108?
1404
Suppose 2*g + 2 = 3*g. Let m be (-3540)/584 + g - -4. Let r = m - 1967/657. What is the common denominator of -29/6 and r?
18
Let b(u) be the third derivative of u**5/60 - 5*u**4/6 + u**2. Suppose -16*y + 298 = 10. Find the common denominator of b(y) and 17/6.
6
What is the smallest common multiple of 816 and (-4)/(-1)*10*(-440)/(-1100)?
816
Let c(b) = -b**3 + 8*b**2 + 6*b. What is the least common multiple of 88 - -348*5/60 and c(7)?
819
Let z(j) = -5*j**2 - 2*j. Let m(b) = 4*b**2 + 2*b. Let v(i) = -6*m(i) - 5*z(i). What is the smallest common multiple of v(3) and -24*1 + 1752 + -1726?
6
Let x(j) = 2*j**2 + 22*j + 82. Let o be x(-9). Suppose 45*l - o*l = -10. What is the least common multiple of 20 and l?
20
Let v = -14057/9 - -1560. Calculate the common denominator of (0 - (-77)/(-32)) + -162 + 167 and v.
288
Let g = 1158 + -1100. Suppose 2*u = -0*u + 72. Let r = g - u. Calculate the smallest common multiple of 10 and r.
110
Suppose -3*q + 30 = 2*q. Let i be (-115)/50*4*-1*5. Suppose 0 = -5*s - 4*t + 34, 2*t - i = -5*s + t. Calculate the smallest common multiple of q and s.
30
Suppose 11*h + 3770 = 21*h. Suppose -5*w = -i - h - 182, 4*w - 447 = i. What is the smallest common multiple of w and 5?
560
Let t be (-8472)/30 - (1 - 13/15). Let n = t - -142487/510. Calculate the common denominator of n and (9/(-6))/(6/7).
68
Suppose 5*s = -15, -3*f - 4*s = -0*s - 1302. Find the common denominator of f/(-12)*(-1)/(-11) and (5 + 56/(-12))*(-100)/(-24).
198
Let u be (-4)/30 + 53810/4200. Let s = 601/84 + u. Calculate the common denominator of s and 1 + (-10)/296 - 1.
444
Let f = -3608/13 + 145373/520. Calculate the common denominator of 21/410 and f.
1640
Let k(d) = -58 + d + 28 + 31. Let o(x) = -3*x - 44. Let m(p) = -4*k(p) - o(p). Calculate the least common multiple of m(13) and 27.
27
Calculate the smallest common multiple of (-111 - -21)*14/(-42) and (1 + 8)*(1 - 0).
90
Let g(u) = 7*u - 1. Let f be ((-4)/16)/(((-9)/(-1212))/(-3)). Let p = f - 79. What is the lowest common multiple of p and g(1)?
66
Let j(m) = -5*m**3 - m**2 + 5*m - 8. Let n be j(2). Find the common denominator of n + 2 + (36/8 - 4) and (-516)/54*(-3)/4.
6
Suppose -21*p + 18*p + 9 = 0. Calculate the smallest common multiple of 162 and p.
162
Let f = -597 + 1219/2. Let t be 18/14 - 4/14. Find the common denominator of ((-98)/(-10) - 2)/t and f.
10
Suppose 14 = -2*i - 4*l, 15 = 15*i - 16*i - 4*l. What is the common denominator of 2/(-10) - (i + (-783)/(-60)) and 31/16?
16
Let y be (-119)/14*(-7)/(28/200). Let g = -371 + y. What is the least common multiple of g and 2?
54
Let a = -5137 - -215791/42. Let b = -55091/16 + 3447. Calculate the common denominator of b and a.
336
Suppose 3*q = 5*v + 10, 5*v = 21 - 1. Let w(y) = -4*y + 60. Let u be w(15). Let s(d) = -d**2 - 8*d + 10. What is the least common multiple of s(u) and q?
10
Let c = -2093 - -6209/3. Let n be (8 - 10)/((-2)/23). Suppose -3*s - 97 = n. Find the common denominator of c and s.
3
Suppose -112 = 6*a - 2*a - 4*c, 4*c = -a - 18. Find the common denominator of 3/16 and -2 - (a/12)/(8/72).
16
Let c = -13607/10 + 1369. Find the common denominator of -83/18 and c.
90
Let p = -104204 - -104391. What is the least common multiple of (-1)/(((-1)/(-17))/(-1)) and p?
187
Let z = -8244 - -11585. What is the smallest common multiple of z and 6?
20046
What is the smallest common multiple of 15117/14 + (-48)/(-224) and 150?
5400
Let q(y) = 36*y**2 - 373*y + 42. Calculate the smallest common multiple of 15 and q(12).
750
Let t(x) = x**2 - 25*x + 55. Let j be t(22). Let z be j/((-33)/(-2))*6. Calculate the lowest common multiple of (-10)/z + (-11)/(-22) and 32.
96
Let g = 1069/4 - 258. Calculate the common denominator of g and -43/82.
164
Let b = 70677 + -13711439/194. Calculate the common denominator of -3 + 4/(40/47) and b.
970
Let i = 708 + -1212. Let g = -486 - i. Let o(w) = w + 14. Calculate the least common multiple of g and o(0).
126
Let s(k) = -k**3 + 5*k**2 + k + 29. Let l be s(7). Let d = l + 67. Let y(z) = -z**3 + z + 1. What is the least common multiple of y(-2) and d?
35
Let j = -297181/56 + 5307. Let g = 706 + 1820. Let q = g - 40485/16. What is the common denominator of q and j?
112
Let r = 1269/11 - 1295/11. What is the common denominator of r and 38/473?
473
Let y(k) = 34*k**2 - 9*k + 8. Let a be y(1). Suppose j - 50 - a = 3*g, -3*g + 261 = 3*j. What is the lowest common multiple of 2 and j?
86
Let w(a) = -5*a**2 + 5*a - 2. Let l be w(4). What is the common denominator of 113/(-1243)*(0 + l/(-8)) and 81/40?
440
Let l = -805015/4 - -202