?
20
Suppose 2*o - 3*g - 14 - 66 = 0, 4*g + 40 = o. What is the lowest common multiple of o and 245?
1960
Let x = -20/887 + 60935/145468. Calculate the common denominator of x and -47/28.
1148
Let c = 1/30150 + -663437/4130550. Let s = -3121/4932 - c. Calculate the common denominator of s and 87/28.
252
Suppose 0*z + 4*l + 15 = -z, -23 = -3*z + 5*l. Let q = 4 + z. Suppose -q*h = -h - 20. What is the smallest common multiple of h and 5?
5
Find the common denominator of ((-84)/27)/(-7)*438/(-16) and 369/(-20)*(-3 - 44/(-12)).
30
Let v = -19 + 15. Let i be (-4)/v*-2 + 2. Calculate the least common multiple of 10 and 12/(-3) + 16 + i.
60
Let r = -21939 - -263123/12. Let g = -22065/8 - -2766. Calculate the common denominator of g and r.
24
Suppose -28 = -5*z + 3*t - 9, 8 = 4*t. Let y be 1*(z + -5 + 2). Suppose -3*c = 4*q - 86, -4*q + y*q + 36 = -2*c. Find the common denominator of q and 53/10.
10
Let t = 4 + 4. Suppose 5*x = x - q + 25, x = -2*q + t. Calculate the smallest common multiple of x and 10.
30
Let c = -8763/16 - -544. Find the common denominator of (1/3*-34)/(322/(-69)) and c.
112
Calculate the smallest common multiple of (-30)/(-25)*(-120)/(-18) and 1/1*-1 - -4.
24
Let c(y) = 6*y + 10. Let d be c(5). Let p = d + -36. Calculate the lowest common multiple of p and 14.
28
What is the common denominator of 2 + 5/(-3) - (-1045)/(-210) and -95/2?
14
What is the common denominator of -5*4/(-10)*142/(-1208) and -101/2?
302
Let a(h) = h + 5. Let m(q) = 11*q - 5. Let r be m(6). Suppose -r = -11*i - 6. What is the smallest common multiple of a(6) and i?
55
Suppose 2*s = g + 17, 4*g + 38 = 4*s - s. Calculate the least common multiple of s and 15.
30
Let l = -191 + 150. Calculate the common denominator of l and 55/14.
14
Let x(v) be the first derivative of 5*v**2/2 - 3*v + 15. Calculate the least common multiple of x(3) and 44.
132
Let c = 127 + -104. What is the common denominator of 43/9 and 50/(-30)*c/(-4)?
36
Let q = 77 - 37. Let z = q - 29. What is the lowest common multiple of z and 18?
198
Let z = -212/69 - -965/92. Find the common denominator of -25/36 and z.
36
Suppose -3*y = -2*c - 3*c - 20, 4*y + c - 42 = 0. Calculate the lowest common multiple of y and 80.
80
Let p = -8389500 + 11996982837/1430. Let c = -141/65 + p. What is the common denominator of c and (2/40)/((-1)/162)?
110
Suppose 0 = -216*w + 217*w + 20. Calculate the common denominator of 11/80 and ((-212)/w)/((-6)/5).
240
Let x = 0 - -5. Suppose -3*t - 28 = -4*h, -140*t = -143*t. Calculate the lowest common multiple of h and x.
35
Find the common denominator of ((-2)/32)/(10/450) and 125/204.
816
Suppose 2*z + 4*t = -2*z + 24, -z - 3*t + 10 = 0. Find the common denominator of (-75)/33*(z + -2) and (-1)/(-4) - 147/(-132).
11
Let u(d) = d**2 + 8*d + 1. Let q be u(-8). What is the common denominator of q*(-1 - (-212)/(-56)) and -77/8?
56
Suppose 3*l = -5*u - 152, -4*u + 2*l - 56 = 70. What is the common denominator of u/2*1 - (-28)/(-84) and 71/12?
12
What is the smallest common multiple of -12*16/(-72)*3 and 88?
88
Let m(d) be the first derivative of 13*d + 1 + 1/2*d**2. What is the least common multiple of m(-8) and 10?
10
Find the common denominator of (-55924)/(-2460) - (-5)/(25/(-2)) and 38/52 - 2/4.
39
Let l = 169 - 2397/14. Let j = -2147 + 8633/4. Find the common denominator of l and j.
28
Let r = 19689579/320 + -61530. Find the common denominator of 27/256 and r.
1280
Let g be 1 - (75/(-3) + 3). Let h = g - 9. What is the least common multiple of 20 and h?
140
Let u = -18104 - -1629397/90. What is the common denominator of -149/18 and u?
90
Let a(g) = -g**3 + 14*g**2 - g + 11. Let y be a(14). Find the common denominator of y/(-2)*(-11)/48 and 39/4.
32
Let f(k) = k**2 - 11*k + 12. Let z be f(9). Let j be ((-4)/1140)/(z/9). Let a = j + 3793/1330. Find the common denominator of a and -13/7.
7
Let l be -3*1/(-1) - 1. Let q(x) = -l*x - 2 + 11*x - 4*x - x**2. Calculate the smallest common multiple of 22 and q(4).
22
Suppose 2*v + 3*k - 83 = 4*k, -v + k = -44. Let r = 19 + 5. Suppose 4*f + 5*g - v = 0, -f - 4*f + r = -2*g. What is the least common multiple of 3 and f?
6
Let y = -307 + 326. Suppose -14 = -2*x - 2*c, 0 = -5*x + 2*c + 62 - 20. Calculate the smallest common multiple of y and x.
152
Suppose -2*p - 5*h - 18662 = 0, -3*h + 6177 + 12485 = -2*p. Let o = -55841/6 - p. Calculate the common denominator of o and 80/21.
42
Let j(c) = -c**3 - 15*c**2 + 16*c + 2. Let b be j(-16). Suppose -b*p - h + 3 = 2, 5*h + 10 = 5*p. What is the common denominator of p and -99/4?
4
Let d = 11027 + -297763/27. Find the common denominator of 139/198 and d.
594
Let f be 54334/4*(-351)/221767. Let b = 2/2437 - f. Let d = -5359/24 + 638/3. Find the common denominator of d and b.
8
Let h = 36862 - 1253403/34. What is the common denominator of h and 145/288?
4896
Let l = 40 - -26. Calculate the least common multiple of 4 and l.
132
Let k(x) = 2*x - 3. Let y be k(4). What is the common denominator of y/10 - 43/15 and 95/14?
210
Suppose -3*p + 43 = 2*p + 3*l, 0 = -2*l + 2. Suppose 0 = -6*y + p*y - 18. Calculate the smallest common multiple of y and 9.
9
Calculate the common denominator of 36/5 and (2/(-122) - 0)/(4/48).
305
Let j = -5849 - -70085/12. Find the common denominator of j and 37/3.
12
Calculate the least common multiple of 28 and (-1 - 0)*(-63 - -55).
56
Suppose -2 - 70 = 3*d. Let x be ((-662504)/d)/(20/(-6)). Let p = x + 8274. What is the common denominator of -143/12 and p?
60
Let b(t) = -2*t + 7. Suppose -z = 9 - 0. Let v = z + 12. Calculate the least common multiple of 3 and b(v).
3
Suppose 0 = -3*k - 5*i + 22 - 1, 0 = -3*k - 4*i + 18. Suppose 3*z - 9 = -0. Calculate the lowest common multiple of k and z.
6
Let v(a) = 2*a + 1. Let n be v(1). Suppose i = n*p + 11, -5*p - 4 - 3 = 4*i. Suppose -6*b + 48 = -i*b. What is the least common multiple of b and 1?
12
Suppose 642*h - 804 = 636*h. Calculate the smallest common multiple of 20 and h.
1340
Suppose -3*o - 30 = -5*a + 17, -2*a + 3*o + 26 = 0. Let l(i) = i**2 + 3*i + 8. Calculate the smallest common multiple of a and l(-2).
42
Suppose 0 = -4*a + 13083 - 152059. Let c = a + 1042183/30. What is the common denominator of c and -67/15?
30
Let b(a) = 4*a**2. Let t be b(1). Find the common denominator of (-4)/(-10) + (-46)/t and 9/(2 - (-14)/(-4)) - -24.
10
What is the common denominator of 372/96 - (-3)/(-2) and 5*3/69*5?
184
Suppose 155 + 997 = 12*w. Calculate the smallest common multiple of 1 and w.
96
Let h be 3/(30/365) + -4. Let c = h + -10. What is the common denominator of ((-24)/(-9))/((-6)/(-8)) and c?
18
Suppose 3*h - 172 = 2*o + 78, 3*o - 5*h = -376. What is the common denominator of (o/16 + 2)*(-9)/5 and 73/24?
24
Suppose g = 5, -2*k + 0*g + 18 = -2*g. Suppose 2*m - k = 6. Suppose 2*l + 4 = -2*y - 2*l, 4*l = y - 22. Calculate the lowest common multiple of m and y.
30
Let q(k) = -k**2 - 12*k + 7. Let o be q(-12). Let w = o - -1. Calculate the lowest common multiple of w and (-3)/12 + (-82)/(-8).
40
Let c(d) = 5*d + 60. What is the smallest common multiple of 15 and c(-10)?
30
Let p(b) = -b**2 - 21*b - 38. What is the least common multiple of 12 and p(-16)?
84
Calculate the common denominator of 44/4 + 1290200/(-117040) and -53/8.
11704
Suppose -35*g + 44*g = 54. Suppose 0 = -w + 1 - 3. What is the lowest common multiple of g and (-2 - (w + 2))*-7?
42
Let y(b) = b + 25. Let r be y(-10). Let g = -1317/4 + 351. Find the common denominator of g and (-31)/r*6/(-8).
20
Let g(m) = m**3 - 5*m. Calculate the lowest common multiple of g(3) and 92.
276
Let r = 1605 + -6471/4. Calculate the common denominator of 21/(-14) - 10*2 and r.
4
Suppose -2*h + 108 = 2*i, 3*h = -2*i - 0*h + 110. Let f = -30 + i. What is the smallest common multiple of f and 14?
154
Suppose -15*a + 10*a + 100 = 0. Let s = 18 + a. Calculate the least common multiple of s and 6.
114
Let a be -4 + (-21417)/16 + -1. Let f = 1343 + a. What is the common denominator of (129/72)/((-2)/(-3)) and f?
16
Let n = 38 + -23. Suppose 2*z - 17 - n = 0. Suppose 3*d - 5*d = -z. What is the lowest common multiple of d and 22?
88
Suppose 34 = 5*x + 4. Calculate the common denominator of 546/104*((-1)/x)/1 and 77/142.
568
Suppose -4*u = 2*y - 6*y + 248, 3*y - 189 = 2*u. What is the smalle