 and 1/(1 + r/15).
9
Let r(u) = -u - 14. Let b be r(-7). Find the common denominator of (-2)/b - (-332)/63 and 40/14*(-77)/33.
9
Suppose -5*l + 4*b + 50 = 0, 2*l + b - 10 - 10 = 0. What is the smallest common multiple of l and 18?
90
Suppose 63 = -5*z - 0*z + 4*j, 0 = z - 4*j + 19. Find the common denominator of 2/z - (-2406)/(-440) and -85/18.
180
Let d = -5473/8 + 685. Let m = -14 - -28. Calculate the common denominator of ((-53)/m - 1) + 1 and d.
56
Let f(j) = -j**3 - 8*j**2 - 6*j - 2. Let v be f(-7). Let g = v + 14. Suppose 6 + 14 = g*w. What is the lowest common multiple of 2 and w?
4
Suppose 2*l - 4*y = 144, 4*y + 360 = 5*l + 2*y. What is the lowest common multiple of ((-3)/(-6))/(4/l) and 5?
45
Calculate the common denominator of 26/5 and (-1 - 137/(-10)) + -1.
10
Let t be (-9)/(-21)*-2*7. What is the common denominator of 1068/(-182) - t/39 and (22/40)/((-2)/5)?
56
Suppose -3*n = -5*n + 4. Suppose 2*c = c + 8. Calculate the least common multiple of c and n.
8
Let s = -14 - -21. Let n(c) = 2*c**2 - c + 9. Let q be n(s). Suppose -4*t - t = -q. What is the smallest common multiple of 10 and t?
20
Calculate the lowest common multiple of 28/(-35) - (-78)/10 and 6.
42
Find the common denominator of 4/39 and 34/10 - 3 - 26/(-6).
195
Let f(g) = -g**2 - 16*g - 21. Suppose 2*k + 3*k + 70 = 0. What is the lowest common multiple of 4 and f(k)?
28
Let b(u) = u**3 + 9*u**2 - 25*u - 29. What is the least common multiple of (-6)/(-15) + 68/5 and b(-11)?
28
Suppose 12 = -11*z + 17*z. What is the smallest common multiple of z and (-28)/6*3/(-2)?
14
Let h = -90127 + 1801961/20. Let f = 77/4 + h. What is the common denominator of f and 34/5?
10
Let p = -1/4452 - 43405/8904. Let a(t) = -t**2 + t - 100. Let g be a(0). Calculate the common denominator of p and -1 + g/14 + 2.
56
Let c(o) = -5*o + 2*o + 11 - o**2 - 25 - 10*o. Calculate the smallest common multiple of c(-11) and 11.
88
Let w = 35914 + -1077569/30. What is the common denominator of w and -167/42?
210
Let x(v) = -v**3 + 6*v**2 + 7*v - 4. Let d be x(7). Find the common denominator of (-27)/4 - (1 - 0) and 30/d*26/(-42).
28
Calculate the common denominator of 51/11 and (-590)/(-12)*(-2)/(-5).
33
Let o(k) = -k**3 + 4*k**2 + 13*k + 9. Calculate the least common multiple of 30 and o(6).
30
Suppose -2*x + 6*x = 56. Calculate the lowest common multiple of x and 12.
84
Let c(x) = -10*x - 2. Calculate the smallest common multiple of c(-1) and 7.
56
Let s = -63/44 - 381/22. Find the common denominator of s and (-27)/(-5) + (0 - 0).
20
Let z be (8 - 13)*(-1584)/10. Calculate the common denominator of 27/8 and (-2)/(-11) - 9318/z.
24
Suppose -n = n - 100. Suppose n + 30 = 4*l. Let b(p) = 2*p + 2. Calculate the lowest common multiple of b(4) and l.
20
Let y = 8627 + -189759/22. Calculate the common denominator of y and 31/6.
66
Let n(x) = x - 2. Suppose -26*d + 24 = -2*d. What is the smallest common multiple of n(3) and d?
1
Suppose -d = 3*l + 4, -2*d - 2*d = -l - 10. Let o = d - 9. Let y(n) = -6*n - 10. What is the common denominator of y(o) and -20/9?
9
Let n = 773680261570783/24564 + -62993019203/2. Let c = 2/2047 + n. Let w = -2/23885 + 3128947/143310. Find the common denominator of w and c.
12
Let s be (-2)/5 + (-629253)/(-120). Let q = s + -5231. Calculate the common denominator of 54/7 and q.
56
Let o = -199663/18 + 11085. Calculate the common denominator of -23/8 and o.
72
Let q = 1/343 - -7195/2744. What is the common denominator of -139/12 and q?
24
Suppose 0 = 5*t - 3*k - 48, 5*k + 40 = 5*t - 0*k. Let c(d) = -6*d. Calculate the smallest common multiple of c(-2) and t.
12
Let x = 227/6 + -38. Find the common denominator of x and 137/12.
12
Let y = -21 + 23. Suppose 34 = 5*s - 56. Calculate the smallest common multiple of s and y.
18
What is the smallest common multiple of ((-4)/(-6))/(1/6) and 14?
28
What is the common denominator of 23/18 and (-138)/(-8)*(-16)/120?
90
Suppose -5*w = -3*k + 55, k + 3 = -2. Let l be ((-1)/33)/(w/2547951). Let i = l - 5518. What is the common denominator of -49/2 and i?
22
Let s = -16 - -22. Let a = s + -2. What is the smallest common multiple of a and 4?
4
What is the common denominator of -51/10 and (2/(-5))/(304/(-855))?
40
Let j = -7375 + 4040. Let k = j + 73357/22. Calculate the common denominator of ((-95)/175)/(4/10) and k.
154
Suppose 25 = 3*x + 2*h, -5*h = -x + 2*x - 30. Let f(p) be the first derivative of -p**2/2 - 2*p + 4. What is the lowest common multiple of x and f(-4)?
10
Let k(h) = 6*h - 6. Suppose -5 = -5*q + 10. Suppose 4*v = -20, 39 + 12 = q*i + 3*v. What is the lowest common multiple of k(4) and i?
198
Let k = 4 - 2. Let r be (1/2)/(1/k). What is the smallest common multiple of r + -1*(-18)/2 and 6?
30
Let w = 56 + -52. What is the least common multiple of 14 and w?
28
Suppose -3*c + 47 = -2*s, -s - 2 + 11 = 5*c. Let u = -2369/84 - -135/7. What is the common denominator of u and -2 + (75/s)/3?
48
Let q = 283 + -856/3. Let w = -9655/1332 - 1/666. Calculate the common denominator of w and q.
12
Let n be 3/(2 - 4/4). Suppose -30 = -4*a - 5*t, -3*a - 2*a + 56 = -n*t. Calculate the least common multiple of 14 and a.
70
Let q = -18 - -2. Let c = q - -26. What is the least common multiple of 22 and c?
110
Let k be -3*-13*(-1 - 0). What is the common denominator of -41/9 and (k/(-30))/((-1)/(-9))?
90
Let b = 637/12 + -53. What is the common denominator of b and 9195/(-2100) - 3/(-7)?
60
Suppose 3*m - 5 = -2. Suppose -4*t + 4*g = -84, t - 29 = 4*g + m. Calculate the smallest common multiple of t and 20.
180
Calculate the common denominator of -83/10 and (-6)/(-21) - 1556/1344*3.
80
Let j = -114 - -186. What is the lowest common multiple of j and 2?
72
Suppose 5*w = 5*k - 10, w - 8 = 2*w + 5*k. Calculate the smallest common multiple of (14/(-5))/(w/15) and 12.
84
Let c = -3 + 2. Let r be 24324/44 + (-4)/(-22). Let l = 6091/11 - r. Find the common denominator of l and c.
11
Calculate the least common multiple of 5*(8/2 + -3) and 8.
40
Let c(p) = p**2 - 16*p + 18. Suppose 0 = -f + 3*f - 74. Suppose 3*k = 17 + f. What is the least common multiple of k and c(16)?
18
Suppose -2*s + 10 = 5*p, 0 = s - 2*s - 4*p + 11. Calculate the smallest common multiple of 18/1 - (s + 3) and 6.
60
Calculate the common denominator of 6/8 + (-678)/216 and 6/(-30) + (-782)/540.
54
Let s = -8 - -5. Calculate the common denominator of -52*s/((-96)/(-7)) and 7/2.
8
Let x = -5 - -2. Suppose 2 + 0 = k - 3*f, -6 = 2*k - f. Find the common denominator of (-87)/30 + (k - x) and -21/2.
10
Let r = 8 - 13. Let p = r + 6. Find the common denominator of 65/8 and p - ((-60)/14 - -1).
56
Let w = -4541/7 - -650. What is the common denominator of 14/71 and w?
497
Suppose 3*t + 938 + 1612 = 0. Let h(u) = -3*u - 42. Let z be h(-18). Calculate the common denominator of -81/16 and (3/(-30))/(z/t).
48
Let h = -1405/24651 - -10/249. Let t be 17/33*142/(-9). Let n = t - h. Find the common denominator of 109/10 and n.
90
Let d(i) be the third derivative of -i**4/3 - i**3/3 + 2*i**2. Calculate the least common multiple of 2 and d(-2).
14
What is the least common multiple of ((-3)/9)/((-4)/96) and 7?
56
Let z(g) = -g**3 - 7*g**2 - 5*g + 12. Let b be 1 - -2*1/(-2). Let n(h) = -h**3 + h**2 - h + 8. Calculate the least common multiple of n(b) and z(-6).
24
Suppose 0*l + 90 = 5*l. Suppose -5*j = 0, 0*q + 3*q - l = 5*j. Calculate the least common multiple of 22 and (q/(-9))/(2/(-6)).
22
Suppose 8*k - 12*k = -104. Calculate the smallest common multiple of 28 and k.
364
Suppose 0*k - m = -k, 0 = -5*k + 3*m + 4. Let i(h) = -h**3 + 4*h**2 - h. Let x be i(k). What is the least common multiple of 2 and x*(-12)/(-9)*2?
16
Let s = -5/3278 - 1259/5621770. Let u = s + 58379/39445. Let f = -2253/46 + u. Find the common denominator of -79/8 and f.
8
Let j = 16 - -4. What is the common denominator of (151/(-8))/((-15)/j) and 121/10?
30
Calculate the common denominator of -1 - (42/4)/((-22)/12) and (-4)/(-10) - (-16)/(-5).
55
Let x = 24 - 23. Calculate the smallest common multiple of x and 7.
7
Suppose 4*d + 14 + 4 = h, 2*d = -5*h - 20. Find the common denominator of -113/12 and (-1212)/(-48)*h/(-4).
24
Let s = -519/38 + 9803/836. Find the common denominator of s and 123/20.
220
Calculate the common denominator of (-11)/14