- 2. Let b be p(-8). Suppose 3*k - 25 = -2*m, -3*k - 5*m + 16 = 3. What is the common denominator of (1/k)/((-6)/b) and 1/3?
33
Let t(b) = 10*b + 198. Let a(o) = 2*o + 33. Let d(y) = -34*a(y) + 6*t(y). Calculate the lowest common multiple of 32 and d(8).
32
Suppose -d = p - 75, d = -0*d - 5*p + 55. Let u = -47 + d. What is the smallest common multiple of 24 and u?
264
What is the lowest common multiple of 6 and (-3)/(18/(-849)) - 75/(-30)?
144
Let u = 4/7079 - -714899/141580. What is the common denominator of u and 119/24?
120
Let p = -13/4 + 6. What is the common denominator of 61/14 and p?
28
Calculate the common denominator of ((-6474)/660 + 10)/(18/130) and -81/2.
66
Let g = -5514887/72 - -76597. Find the common denominator of g and -50/213.
5112
Find the common denominator of -21/67 and (-3)/63*27*6*1.
469
Let h(g) be the third derivative of -g**6/60 + 7*g**5/20 + 13*g**4/24 - 8*g**3/3 + 20*g**2. What is the least common multiple of h(11) and 6?
6
Let n = -14 + 8. Let r = n - -2. Calculate the common denominator of (6/r)/((-96)/98) and 5/22.
352
Let f = 16/71 - 1596/781. What is the common denominator of f and -25/119?
1309
Let p be 1/((434/(-108) - -4)/(-2)). Suppose 8*q - p = -q. Calculate the least common multiple of 36 and q.
36
Suppose 2195 = 6*a + 2147. What is the smallest common multiple of a and 140?
280
Let x = -12798/4081 - 4/583. What is the common denominator of ((-80)/88)/((-4)/10) and x?
77
Let o be (-4125)/583*(0 + (-2)/(-6)). Let v = o + 3711/742. What is the common denominator of 167/42 and v?
42
Let s = 1383 - 11071/8. What is the common denominator of (-2)/(-1) + 262/(-56) and s?
56
Let v be 0/(0 + (-2 - -4)). Suppose v = -5*j + j + 20. What is the smallest common multiple of j and 1?
5
Let x = 189/1240 + 7/310. Calculate the common denominator of -59/5 and x.
40
Let g = -99 + 103. Calculate the common denominator of 41/27 and g + (-2036)/756 + (-4)/(-14).
27
Suppose 2*b = -3*q - 29, q + 25 = -2*q + 2*b. Calculate the common denominator of (-2 + q/(-6))/((-15)/(-22)) and 43/21.
105
Let c = 19 + 0. Suppose -3*j = 5*l - 5 - 23, 4*l - j - c = 0. Suppose l*a = -2*v - 11, -2 - 7 = 3*a. Calculate the lowest common multiple of 18 and v.
18
Let h = -426 - -462. What is the smallest common multiple of h and 3?
36
Let g(u) = 3*u - 34. Let z(f) = -2*f + 33. Let q(k) = 3*g(k) + 4*z(k). Find the common denominator of 99/4 and q(15).
4
Let p(t) = t**2 + 2*t - 6 - 6*t - 5*t + 2*t. Suppose 5*w + 85 = 5*j, 2*j + 2*w - 59 = -w. Calculate the smallest common multiple of p(9) and j.
132
Let f(v) = 3*v - 2*v - 4*v - 20. Let o(l) = -l - 7. Let a(m) = 2*f(m) - 7*o(m). Calculate the least common multiple of 9 and a(-4).
45
Let p = 73 - 69. Suppose -p*n - 14 = -146. What is the lowest common multiple of n and 21?
231
Calculate the common denominator of ((-51)/(-26) - (22 - 20))*-45 and -63/16.
208
Let r = -1 - -12. Suppose 2*b = -5*d + 6*d - 5, 5*b - 3*d = -13. Calculate the lowest common multiple of 11 and (r/b)/((-1)/2).
11
Let j = 27257/12 - 2270. Find the common denominator of 8 - ((-185)/20 - 7) and j.
12
Let f(p) = 2*p**2 - 14*p - 11. Let d be f(8). Suppose 16 = -2*c + 4*c - d*r, -4*r + 106 = 5*c. Calculate the smallest common multiple of c and 12.
36
Let d(w) = 46*w**2 + 5*w. Suppose -9*y - 15 = 3. What is the smallest common multiple of 12 and d(y)?
348
Calculate the lowest common multiple of ((-165)/(-12))/5*(10 + 2) and 11.
33
Let y = 29 + -30. What is the least common multiple of y + 1/(-2 + (-69)/(-34)) and 21?
231
Suppose 2*n + n - 3 = -z, 3*z = n + 19. Suppose 0 = 3*l - 8*l + 50. Calculate the least common multiple of l and z.
30
Let h = -15433815/34905838 + 1/144239. Find the common denominator of h and 71/4.
484
Let r be ((-2)/540)/((-9760)/733728). Let s = -1/1525 + r. What is the common denominator of s and (-21)/(-16) - (2 - 2)?
144
Let k = 5021/1116 - -7/124. Suppose 5*h = -2*x + 15, 2*x - 24 = -4*h - 2*x. Find the common denominator of k and (-126)/5*h/2.
45
Let j = -552 + -444. Let q = 10966/11 + j. What is the common denominator of -27 and q?
11
Suppose -67 = -9*f + 59. Suppose -8*p + 3*p = -50. Calculate the smallest common multiple of p and f.
70
Let q be (-14)/10*-5*1. Suppose 4*u - q = -w, 4*w + 0*w = -2*u - 42. Find the common denominator of w/39*276/10 and -26/5.
5
Let g(p) = -7*p**2 - 177*p - 46. What is the lowest common multiple of 510 and g(-25)?
1020
Let n = -128 + -952. What is the common denominator of (-6)/10 + (-9228)/n and 4/6 + 130/24?
36
Let v = -11/540 + 187/1080. Find the common denominator of v and 119/312.
936
Suppose 15*i - 72*i + 3591 = 0. What is the lowest common multiple of 56 and i?
504
Calculate the common denominator of 2/18*(-423)/6 and ((-330)/(-8))/((-189)/14).
18
Suppose 5*j - 85 = -15. Calculate the lowest common multiple of j and 84.
84
Let q = -55/16 + -317/80. What is the common denominator of -18/25 and q?
25
Suppose 3*c - 24 = -6. Let a = 23 + c. Let n = a + -23. Calculate the least common multiple of 5 and n.
30
Let t(x) = -6*x**2 - 8*x. Let d be t(5). Find the common denominator of (2 - d/(-36)) + -2 and 41/18.
18
Let i(w) = -11*w - 2. Let q be i(-2). Suppose -2*o = -3*p - 6*o + 38, 0 = 4*o - q. Let v(y) = -16*y - 190. What is the least common multiple of p and v(-12)?
6
What is the common denominator of (-2)/20*(-6)/8 and 157/120?
120
Calculate the common denominator of 6/4 - 128/6 and 75/4.
12
Let q(p) = -p**2 - 12*p - 14. Let a be q(-9). Let o(b) = -b**2 + 14*b - 5. Calculate the least common multiple of 12 and o(a).
24
Let u = -15 + 18. Let r = u + -26. What is the common denominator of 14/49 + (-351)/77 and r?
11
Let q = -28 - -56. Suppose 3*h = -4*t + 77, 2*t - 2*h = -0*t + q. Let a(b) = b**2 - 5*b + 2. Calculate the lowest common multiple of a(5) and t.
34
Let c = -5310634853580323/3569 + 1487989604137. Let h = c + -12212. Let r = 417553/35690 + h. Calculate the common denominator of 11/10 and r.
10
Let m = -3324 - -73215/22. Calculate the common denominator of m and -9/20.
220
Let t = 16 + -2. Let r(f) = -f**2 + 14*f - 6. Let d be r(t). Calculate the common denominator of 93/2 and (d/(-44))/(2/48).
22
Suppose -4*j + 18 = 3*y - 7, 52 = 4*y - 4*j. Let i = 3 + y. Calculate the smallest common multiple of i and 18.
126
Calculate the common denominator of 17/76 and (-8)/14 + 1280/2926.
836
Find the common denominator of (2/(-4))/((-7911)/(-792) + -10) and 11/117.
117
Let f be -1 - (-6 + 4 + -3). Let l be 14/f + (-6)/12. What is the smallest common multiple of 18 and 4/(-2) + l + 9?
90
Let a = 575 - 567. What is the least common multiple of 20 and a?
40
Let o(k) = -k**2 + 5*k + 1. Let f be o(3). Let w(u) = 16*u + 9. Let a be w(f). Let p = a + -463/4. What is the common denominator of p and 21/10?
20
Let r = 20399091/8 + -2554818. Let n = r - -4923. Calculate the common denominator of 89/6 and n.
24
Suppose 5*z + 5*f = 8*z - 3286, -5*z + 5480 = -5*f. Calculate the least common multiple of z and 11.
12067
Suppose -5*t = -15, t - 64 = -4*m - 261. Let d be (-20)/(-20) - (-22 + 1). What is the common denominator of -117/10 and 2/d*m/20?
110
Let j(t) = -t**3 + 7*t**2 - 6*t - 3. Calculate the smallest common multiple of j(4) and 6.
42
Find the common denominator of (-428)/252 - ((-174)/18 - -9) and 59/28.
252
Calculate the lowest common multiple of ((-276)/(-24) - 13)*(0 + -2) and 222.
222
Let b(p) = 3*p**2 - 17*p - 8. Calculate the least common multiple of b(8) and 8.
48
Find the common denominator of -99/28 and (-50)/(-4)*(142/(-160) - -1).
224
Let n = -326 - -340. What is the smallest common multiple of 310 and n?
2170
Let i = 120 + -48. Calculate the common denominator of 115/12 and (-46)/(-207) + 1082/i.
12
Let r(l) = 979*l**2 - 21. Let m be r(-9). Let t be ((-8)/m)/(2/(-3)). Let q = -1440257/264260 + t. Calculate the common denominator of q and -79/22.
220
Let g(k) = 12*k**2 + 13*k - 5. Let m be g(5). What is the common denominator of 7/9 and 2/(m/2193) - 6/10?
36
Suppose -4*q - 3 = -43. Let h(u) = u**3 - 9*u**2 - 8*u - 9. What is the least common multiple of (2/(-5))/((-2)/20) and h(q)?
44
Let i be 75340/(-25) + 3 + 2. Let v = -3018 - i. What is the common denominator of v and 16/3*21/(-10)?
5
Let k(v) = -6 - 16*v**3 + 7 + 15*v**3. Let n(l) = -7*l**3 + 4*l**2 - 3*l + 7. Le