 5. Let t be q(w). What is the common denominator of (t/3)/(2/(-10)) and 89/2?
6
Let k = -4 - -4. Suppose k = -2*t + 3*a + 15, -5*t - 5*a = -43 - 32. Let s(i) = -i**2 + 9*i + 22. What is the lowest common multiple of t and s(9)?
132
Suppose -4*q - 12685 = -4329. Let x = q - -4271/2. Find the common denominator of 45/142 and x.
142
Let r be ((-3118)/4)/((-35084)/(-287)). Let x = -2/1253 - r. What is the common denominator of 13/10 and x?
40
Let b = 286/45 + -2347/315. Find the common denominator of b and 23/56.
168
Let x = 42253/23494 + -3/691. Let f be (1*2)/((-9)/11448). Let t = -40733/16 - f. Calculate the common denominator of t and x.
272
Let l(f) = -3*f**3 + 26*f**2 - 23*f - 29. Let v(z) = z**3 - 9*z**2 + 8*z + 10. Let d(b) = 2*l(b) + 7*v(b). What is the lowest common multiple of d(10) and 14?
84
Suppose 5*b - 32 = b. Let u(p) = -p**3 + 7*p**2 - p + 5. Let o be u(7). Calculate the lowest common multiple of b and 3 - 0/o - -3.
24
Let n be 297/(-66)*4/6. Let r = n + 25. Calculate the least common multiple of r and 0 + 9*2 + -2.
176
Let j(w) = 5*w**2 - w + 0*w**2 - 3*w**2. What is the least common multiple of j(3) and 18?
90
Let h(m) = -m**3 - 12*m + 10 - 12*m + 2*m**2 - 12*m + 34*m. What is the lowest common multiple of 5 and h(0)?
10
Let f(h) = -h**3 - 8*h**2 - 11*h - 9. Calculate the lowest common multiple of f(-7) and 20.
380
Suppose 23 = -4*q - 3*d, -5*q = 5*d - d + 30. Suppose -5*c + 38 = -2*c + 4*x, -3*c + 5*x = -20. What is the least common multiple of c and 114/9 + q/3?
60
Let v(m) be the first derivative of 3*m - 1/3*m**3 + 3/2*m**2 - 4. Calculate the smallest common multiple of v(3) and 6.
6
Let k = -32/3465 + -6877/19635. Find the common denominator of k and 31/33.
1683
Let v = -422219/30 - -14072. Find the common denominator of 203/12*(-4 - 60/(-14)) and v.
30
What is the common denominator of -5 + (-348)/(-30) + -4 and -37/89?
445
Let g be (-1618)/32*1*-2. Let t(d) = 4*d - 77. Let f be t(-6). Let n = g + f. What is the common denominator of n and -65/6?
24
Find the common denominator of ((-255)/560)/((-2)/8) and 45/52.
364
Suppose 3*r + 33432 = -4*x, -4*x - 4*r = r + 33440. Let w = 150317/18 + x. Find the common denominator of -65/4 and w.
36
Suppose -h = 4*t - 2*t - 32, 2*t = 4. What is the lowest common multiple of 24 and h?
168
Let v be (-22)/(-165) - (-2)/(-15). Suppose 3*f + 0*f - 111 = -2*x, v = 4*x + 3*f - 207. What is the least common multiple of x and 10?
240
Suppose 56 = 13*l - 17*l. Let f be l/84 + 22/(-12). What is the smallest common multiple of 4 and 2 + (-2 + f)/4?
4
Let b(s) be the second derivative of -5*s**3/6 - 20*s**2 - 21*s. Calculate the least common multiple of 12 and b(-14).
60
Let f = 160 + -50. Suppose 2*g + 7*h = 3*h + 14, -3*g + 11*h + 4 = 0. What is the lowest common multiple of g and f?
110
Suppose 0 = 31*n - 28*n - 9. Suppose 0 = -k - n*k - r + 14, -k + 14 = -5*r. What is the lowest common multiple of 10 and k?
20
Suppose 557*d - 556*d = 10. What is the lowest common multiple of d and 20?
20
Suppose 4*a - 4*k = 40, 4*a - 19 = -k - 2*k. Suppose 0 = -4*l + 8, 0 = -5*p - 6*l + a*l + 48. What is the lowest common multiple of 14 and p?
70
Suppose -12 = -2*i - 0*i. Let y be 11 + (3 - (-2 + 3)). Let j = 5 + y. What is the smallest common multiple of j and i?
18
Suppose -3*i = -l - 18, -5*i + 4*l + 28 = 3*l. Suppose -2*y - 96 = i*d - y, 5*d - y = -94. Let b = 27 + d. What is the least common multiple of b and 68?
136
Let b = -73 - -75. Let a = -308/3 + 2099/21. What is the common denominator of a and (-6)/18 + b + 844/(-132)?
77
Suppose 0 = -10*n + 12*n + 88. Let x = 51 + n. Calculate the lowest common multiple of 4 and x.
28
Let a = -227/42 - -5/6. Calculate the common denominator of 137/30 and a.
210
Let f = 29 - 34. Let k(c) = c**2 - 4*c - 12. What is the smallest common multiple of 9 and k(f)?
99
Find the common denominator of -2*8/(-1568)*22 and -115/12.
588
Suppose 0 = -2*b - 90 - 2. Suppose r = i + 73, 554 = 5*r + 3*i + 149. Let p = b + r. What is the least common multiple of p and 8?
32
Let n(r) = -12*r + 122. What is the least common multiple of n(-21) and 18?
3366
Let r(w) = -w**3 + w**2 - 3*w + 3. Let z be r(2). Calculate the common denominator of (5/30)/(-4*2/1044) and (z/(-3))/(11/3).
44
Let z = -16 - -24. Suppose -3*f = -d - z, 7*f - 5*d = 2*f + 20. What is the lowest common multiple of f and 53?
106
Calculate the common denominator of -33/80 and (66/180)/(16/(-66)).
80
Let z be 1 + 10*(-2)/(-4). Let p(b) = -25*b. Let c be p(-1). Suppose s = z*s - c. Calculate the smallest common multiple of 5 and s.
5
Calculate the common denominator of 44/625 and (-450)/180 - (-118)/6.
3750
Let c(m) = 3*m - 9. What is the least common multiple of c(7) and ((-78)/12 - -2)*-4?
36
Let q = 2472 + -79045/32. Calculate the common denominator of -131/288 and q.
288
Let v(w) = -w**2 - 15*w - 20. Let k = -6 + -6. Calculate the least common multiple of 2 and v(k).
16
Let g be -1 + 1*4 + 52 + 33. Let q = -80 + g. What is the least common multiple of 18 and q?
72
Let o = 300 + -276. What is the lowest common multiple of o and 111?
888
Let c = 43739/30 - 4340/3. What is the common denominator of c and -39/14?
70
Let u = 217369/18 - 12084. Let y = -10019/4 + 2495. What is the common denominator of y and u?
36
Calculate the least common multiple of 27/(17/2 - 7) and (16/(-20))/(4/(-30)).
18
Let y = -18 - -4. Let h = 18 + y. Calculate the least common multiple of h and -20*(20/8)/(-5).
20
What is the common denominator of ((-2)/(-6))/(13/(8632/88)) and 57/44?
132
What is the common denominator of 654/(-45)*(-12)/(-32) and -33/4?
20
Let n = 658 + -7214/11. What is the common denominator of n and (21 + -23)*(-516)/552?
253
Suppose 2*l + 30 = 7*l. Let z = 5 + l. Calculate the least common multiple of 22 and z.
22
Let h(d) = -2*d - 7. Let i be h(-6). Suppose -4*j = -j - 24. What is the lowest common multiple of (-102)/(-5) - 2/i and j?
40
Let k = -20239/12 - -1678. Let y(p) = p**3 - 6*p**2 + 4*p + 4. Let b be y(5). Calculate the common denominator of k and 221/52 - (4 + b).
12
Suppose 0 = 11*z - 14*z + 57. Suppose z*v - 20*v = -34. Calculate the lowest common multiple of v and 6.
102
Suppose -2*u + 2*h + 18 = 0, 2*h + 3 = u - h. Suppose -4*z - u = 0, z = -3*a + 6*z + 45. What is the lowest common multiple of 8 and 12/(-20) + 76/a?
56
Let m = -1943/7 + 285. Let p be 3/153*556/84. Let k = -2/153 - p. Calculate the common denominator of m and k.
7
Let j = 111279/34474 + -1/1567. Find the common denominator of -5/1276 and j.
1276
Let j = -9 - -8. Let a be (3/6)/(j/6). Calculate the smallest common multiple of 22 and 105/10*(-4)/a.
154
Let w be 36837/(-12) + 5 + -3. Let s = w - -3088. Calculate the common denominator of s and -139/18.
36
Let l = 250 + -228. What is the least common multiple of l and 6/1 - (-1 - 1)?
88
Calculate the common denominator of -59/104 and (247 + 10/(-2))*6/240.
520
Suppose -9 = p - 2*i - 3, -9 = p - 3*i. Suppose 3*k - 3*j - 177 = p, -185 = -3*k - 0*j - 5*j. What is the common denominator of -13/44 and 3/15 + 1113/k?
44
Let u = 827 + -2524/3. Find the common denominator of -31/290 and u.
870
Let h(z) = 4*z + 5. Let g be h(6). Suppose 4*o = g - 5. Let m(l) = -l**3 + 12*l**2 - 9*l + 2. What is the lowest common multiple of o and m(11)?
24
Suppose 3*w - 5*s = -809, 281 = -2*w + 4*s - 259. Let z = w - -2683/10. Let j = 7/15 - z. Find the common denominator of 41/18 and j.
18
Find the common denominator of -13/32 and (-5)/((-720)/1086) - 9.
96
Let f = -758 - -3043/4. Let l = 2/68281 - -6896329/1775306. What is the common denominator of f and l?
52
Let k(h) be the first derivative of 3*h**2/2 + 2*h + 2. What is the least common multiple of 11 and k(1)?
55
Let k = -1966291/264 - -22348/3. Calculate the common denominator of k and 29/20.
440
Let t(i) = -21*i - 6 - 12*i - 22*i. Let y be t(3). Find the common denominator of -24/7 and (y/270)/((-1)/3).
70
Suppose 3*o + 2*o = 360. What is the common denominator of 47/24 and 1 + (-16)/o + (-2)/6?
72
Calculate the common denominator of -59/4 and -9 - -5*455/217.
124
Let t = 3317/177 - 13/177. What is the common denominator of ((-6)/12)/(1/(-99)) and t?
6
Suppose 4*g - 1 = -13. Suppose -4*b + 2*a + a = -68, b - 2*a - 22 = 0. Calculate the lowest common multiple of 