?
20
Let x = -11/6103 + -725729/292944. Find the common denominator of -101/96 and x.
96
Suppose 7 - 19 = -2*g. Suppose -d + g*d - 45 = -h, -4*h + 12 = -d. What is the lowest common multiple of 98 and d?
392
Let x = -5841 - -514091/88. What is the common denominator of x and 99/20?
440
Let m(r) = r**2 + 10*r + 41. What is the smallest common multiple of m(-7) and 60?
60
Let b = 1129/126 + -15/14. Calculate the common denominator of 15136/2002 + 2/13 and b.
63
Let b(t) = 19*t - 255. Calculate the smallest common multiple of b(15) and 50.
150
Let d = 5628907/114 + -49376. Calculate the common denominator of d and -67/24.
456
Suppose -4*a + 14 = -3*a. Suppose -5*v + i + 157 = 2*i, 5*v = -5*i + 145. Suppose 0 = -3*r + v + 28. What is the lowest common multiple of r and a?
140
Suppose -3*z = 2 - 14, -2*l = -4*z - 116. Suppose l + 24 = 9*b. Calculate the smallest common multiple of b and 7.
70
Let o = -307 + 265. Let l = 6973/9990 - -2/999. Find the common denominator of o and l.
10
Let v(i) = i + 2. Let n(x) = -2*x - 6. Let u(j) = 3*n(j) + 8*v(j). What is the lowest common multiple of u(4) and 3?
6
Suppose -31*f + 510 = -792. What is the smallest common multiple of 540 and f?
3780
Suppose -7 = 2*b + 3*a - 45, 0 = -5*b + a + 78. Let q(g) = 3*g + 6. Let h be q(-15). Let m = 59 + h. Calculate the lowest common multiple of b and m.
80
Suppose -7*z - 25 = -95. Suppose 5*q = -4*u + 4, -5*u + 0*q + 26 = q. Let i(v) = 2*v - 3. What is the lowest common multiple of i(u) and z?
90
Let i(y) = -3*y - 2 + 3 + 4*y + 11*y**2. Let a = 12 + -2. Calculate the lowest common multiple of a and i(-1).
110
Suppose -3*v + 7 = -2. Suppose -3*k + 0 = 2*s + v, -5*s = 2*k - 20. What is the least common multiple of 12 and s?
12
Let l(v) = 46*v - 6. Let s be l(5). Find the common denominator of 1052/s - 8/14 and -89/14.
56
Let r = 24 + -6. Let o = -20 + r. Find the common denominator of -43/2 and -5 - o - 225/(-70).
14
Let a = -9011/10 + 904. Find the common denominator of -64/75 and a.
150
Let i = 12 - 4. Calculate the lowest common multiple of i and 1.
8
Suppose -g - 8 + 27 = 0. Let k = -1 + g. Suppose 4*b - k = 22. Calculate the least common multiple of b and 10.
10
Let a be (65/(-15) - -1)*9. Calculate the smallest common multiple of (2 + -6)/(12/a) and 18.
90
Let z = 1308 - 720. Let j = 3515/6 - z. What is the common denominator of 91/18 and j?
18
Suppose -l = -5*f + 846, f + 5*l - 25 = 139. Suppose 5*n = -39 + f. Suppose -3*t = -n + 2. Calculate the least common multiple of t and 11.
88
Suppose -4*q = 638 - 1650. Calculate the least common multiple of 506 and q.
506
Suppose 0*m = -3*m + 648. Let y = -150 + m. Suppose y = -2*h + 4*h. Find the common denominator of 109/10 and h.
10
Suppose 2*c - 38 - 28 = 0. Let o = c + -29. Calculate the lowest common multiple of o and 2.
4
Let q(d) = 5*d**3 + 5*d**2 - 5*d - 3. Let t be q(5). Suppose 0 = -j - t - 34. What is the common denominator of (7/j)/(1/118) and 87/8?
216
Suppose 2*x = -3*w - 12, -3*w - 3*x - 9 = -0*x. Calculate the least common multiple of 11 and (-4)/(10/w - 6/(-9)).
44
Suppose 2*g - 3*w - 11 = -6*w, 5*w = -3*g + 17. Let i = -58 + 98. Suppose i = g*k - 2*t - 12, k = 5*t + 4. What is the smallest common multiple of k and 2?
14
Let p = 10 - 6. Suppose -q + 0*q - 19 = 5*z, -44 = -p*q + 4*z. Calculate the lowest common multiple of q and 4.
12
Let h be 170/50 - 2/5. Let m = h - 2. Calculate the smallest common multiple of 3/((-34)/(-28) - m) and 6.
42
Suppose -4*m - 11*m + 255 = 0. What is the lowest common multiple of m and -8 + (9 - 4) + 26/2?
170
Let q(c) = c**2 - 11*c + 41. What is the smallest common multiple of 10 and q(10)?
310
Let z be 3/((1 - 7)*5/40). Find the common denominator of -22 and z/(-14)*(-17)/2.
7
Suppose 2*o - 37 = 43. What is the least common multiple of ((-6)/(-16))/(-7 + 1495/208) and o?
40
Let j = 489/2 - 1675/7. What is the common denominator of -48/7 and j?
14
Suppose 0 = -8*s + 75 + 149. Find the common denominator of -23/18 and ((-7)/((-126)/111))/(s/(-18)).
252
Let i = -1/38237 + 1223769/7073845. What is the common denominator of -23/7 and i?
1295
Suppose -7*u = 3*u - 10. Calculate the least common multiple of 2 and u.
2
Suppose 33*c - 36*c = -1104. Calculate the smallest common multiple of 16 and c.
368
Suppose 3*p + 4*c = -p + 20, 5 = 4*p + c. Suppose 4*u + p*u - 16 = 0. Calculate the lowest common multiple of 20/3*1/7*(-126)/(-12) and u.
20
Let u be 4 + 1*1*(-2 - -1). Suppose 43 = u*y - 17. What is the smallest common multiple of 18 and y?
180
Let t(g) = -g**3 + 14*g**2 - 29*g. What is the lowest common multiple of t(3) and 30?
60
Let l = -88 + 145. Let o = 35 - l. Suppose 0 = 4*x + i + 72, -5*x - 101 = i + 3*i. Calculate the common denominator of o and x.
1
Let v = 2/30649546908875 + 183381512686190719122129/22925861087838500. Let w = v - 7998895. Let q = w - -7/748. What is the common denominator of 13/8 and q?
88
Find the common denominator of 33/5 and (58/20)/(320/(-16)).
200
Let h be (45/(-10))/((-6)/(-8)). What is the common denominator of -6*2/(-110)*-30 and -2*1*(-10)/h?
33
What is the common denominator of 7/1 + 949/(-117) and 17/11?
99
Suppose -3*k + 4*k = -8. Calculate the lowest common multiple of 20/(-1)*(k - 36/(-5)) and 22.
176
Let y = 6296/3 + -25249/12. Find the common denominator of y and 77/402.
804
Let c be 2/5 - 54/(-15). Suppose 3*j - 201 = 3*k, c*j + 4*k - 82 = 3*j. Suppose 3*g + 2*g = j. Calculate the smallest common multiple of 12 and g.
84
Let f be 10/25 + 43/5. Let n = 12 - f. Let s(r) = 6*r**3 - r. Calculate the smallest common multiple of n and s(1).
15
Let u be (-48)/(-30) + (-4)/(-10). Suppose -3*n = 5*x + 61, 4*n - u*x + 66 = -50. Find the common denominator of -44 and (-292)/99 - 6/n.
11
Suppose 2*k - 108 = -0*k. Calculate the common denominator of k/396*1*-1 and -25/28.
308
Let w(n) = 6*n + 37. Suppose -k - 1 = -2. What is the lowest common multiple of k and w(-6)?
1
Suppose 4*o + a = -0*a + 164, -2*o - a + 84 = 0. Let p(g) = -4*g - 6. Let q be p(-6). Let y = o - q. Calculate the smallest common multiple of 26 and y.
286
Suppose 9*q - 404 = 5*q. Suppose -q*k + 15 = -96*k. Calculate the smallest common multiple of 1 and k.
3
Let f be (9 - -1)/(860/235). Let z = -10/43 + f. Calculate the common denominator of 19/16 and z.
16
Let k = 4 + 1. Let b(o) = -3*o**2 + 17*o - 9. Let n(s) = s**2 - 6*s + 3. Let u(p) = -2*b(p) - 7*n(p). Calculate the least common multiple of 4 and u(k).
12
Let d(h) = -h**2 - 14*h + 1. Let m be d(-14). Let n(b) = m - 3 - b + 13. Calculate the least common multiple of 12 and n(5).
12
Let c(a) = -a**2 - 31*a - 51. Let y be c(-20). Let b = y + -1019/6. What is the common denominator of b and -3/16?
48
Let l = 103 - 102. Find the common denominator of ((3 - l)*1)/(216/236) and -16/15.
135
Let o = 27465/8152 + 6/1019. Calculate the common denominator of o and (-122)/112 + (-2)/7.
8
Suppose -2 = a - 2*a + 3*r, -3*a + 5*r = -6. Suppose 4*h + s = 28, -5 = -a*s - 13. Let y(k) = k**2 - 6*k - 1. What is the lowest common multiple of y(7) and h?
24
Let r = -70 - -101. Let w(j) = 116*j + 241. What is the least common multiple of w(-2) and r?
279
Let k(q) = -q**3 - 10*q**2 + 23*q + 10. What is the lowest common multiple of 1/((-275)/(-90) + -3) and k(-12)?
198
Let i(w) = w**2 + 12*w - 9. Let u = -43 + 30. What is the least common multiple of i(u) and 6?
12
Let l(r) = -6 + 8 + r - 2. Calculate the smallest common multiple of 18 and l(6).
18
Let o be ((-5)/(-2095))/((-1629)/3). Let m = -1611047884/1592619 - o. Let w = 1015 + m. What is the common denominator of w and 29/4?
28
Let i = -2454919/6 - -405581. Let l = 3584 + i. What is the common denominator of (-3366)/324 + (-5)/(-1) and l?
18
Let r = -31/255 - 5911/1020. Suppose 2*w - w - 5*a = 4690, 5*w - 4*a = 23492. Let d = -46909/10 + w. What is the common denominator of d and r?
60
Let d = 78 + -49. Let y = 49 - d. Let p(j) = -6*j - 6. Calculate the lowest common multiple of y and p(-2).
60
Let p(j) = 13*j**2 - 3*j + 2. Suppose -2*q + 3*q = -3. What is the least common multiple of (q/3 - -3) + 16 and p(1)?
36
Calculate the common denominator of -107/126 and (125/(-520))/(9/10).
3276
Suppose 0 = -6*j + 25 - 1. Suppose 0 = -j*t + 12 - 4. Let y = 21 + -13. Calculate the least common multiple of t