18
Calculate the least common multiple of (-28)/(-63) + 1240/45 and 16.
112
Let y = 48 - 90. Find the common denominator of (y/12)/((-22)/30) and -151/18.
198
Suppose -2*s - 4*j + 13 = -s, 0 = -3*s + 3*j + 24. Calculate the least common multiple of 295 and s.
2655
Let t = -65 - -35. Let g be (2 - 8505)/(t/3). Let p = 841 - g. What is the common denominator of p and -34/7?
70
Find the common denominator of -104/105 and (206/22 - 9)*(-18)/(-40).
1155
Let y(n) = n**3 - 12*n**2 - 16*n + 17. Calculate the lowest common multiple of 25 and y(14).
925
Let s = 1143858/7 - 163997. Let d = s - -593. Let p = 318/5 + -3453/55. Find the common denominator of p and d.
77
Let z = 4785 + -67065/14. Let h = -15095/7096 + 2/887. Calculate the common denominator of h and z.
56
Let m = -8 - -12. Suppose h = 3*a - 112, m*a - 61 = 5*h + 70. Calculate the common denominator of 26/11 and (1 - a)/(-8 + 1).
77
Let q = 51 - 17. Suppose -m - q = -3*m. What is the least common multiple of m and 9?
153
Let o = 4709/10 + -483. Calculate the common denominator of o and -1*(-2)/((-104)/146).
130
Let w = -92 - -54. Let d = 324235/46 + -7049. Let n = -2131/92 - d. What is the common denominator of n and w?
4
Let v = -15/8 + 979/680. Calculate the common denominator of v and 79/4.
340
Let v be 0*(-2 + 1) - (-22718 - -1). Let u = 499683/22 - v. Calculate the common denominator of u and -71/6.
66
Let n = 1595/63 - 143/7. Calculate the common denominator of -26/103 and n.
927
Let w(q) = -q**3 + 69*q**2 + 64*q + 430. Calculate the least common multiple of w(70) and ((-1)/2)/((-2)/60).
30
Let k = 25678/1071 + -505/21. Find the common denominator of -13/17 and k.
153
Let n = 56071/34 - 1649. Let t = 24251/10 - 2422. Calculate the common denominator of t and n.
170
Let h(g) = 8*g - 4. Let x(u) = u**2 - u - 4. Let z be x(3). Find the common denominator of 11/6 and h(z).
6
Let x(j) = -3*j**2 - 4*j - 11. Let l be x(-4). Let y = -21 - l. What is the lowest common multiple of y and 24?
264
Suppose -10 = -2*r + 4*r, 0 = x + 4*r + 38. Let a = x + 11. What is the common denominator of (a - -3) + 230/24 and -55/6?
12
Let k = 384 - 12. Find the common denominator of 51/16 and 0 + 3 - k/16.
16
Suppose 3*t = 715 + 1784. Let l be ((-238)/21)/((-8)/597). Let k = l - t. Find the common denominator of -23/14 and k.
28
Let c(a) = 2*a**2 + 17*a - 374. Calculate the lowest common multiple of c(18) and 8.
1160
Let l be ((-4 - 0) + -1)*(-340)/(-25). Let k = -50 - l. Calculate the smallest common multiple of k and 21.
126
Suppose -7 + 1 = 2*l. Let c(m) = 0*m**2 + 2*m - m**3 + 0*m**3 - 2 - 2*m**2. Calculate the lowest common multiple of c(l) and 9.
9
Suppose 18 = i + 3*w, -i + 6*i = 3*w + 54. Find the common denominator of (-210)/16*(-16)/i and -27/14.
14
What is the common denominator of 11/20 and (-3)/4 + 2065/(-700)?
20
Let w be (-1)/(-2 + 51/26). Let v = 29 - w. What is the lowest common multiple of (-3)/v*-15 - -1 and 14?
112
Let x = -628 + 630. Suppose -r + 4*m + 40 = -0*r, 5*r = 2*m + 110. Calculate the smallest common multiple of x and r.
20
Let n be 4 + 60972250053381/(-4769520) + 0. Let c = n + 447430308/35. Let v = -3/2839 + c. Calculate the common denominator of v and -17/8.
16
Suppose 13*p = 17*p - 168. Suppose -6*q = q - p. What is the lowest common multiple of q and 8?
24
Let s = -256/21 - -11528/987. Find the common denominator of 17/6 and s.
282
Let p = 29 - 51. Suppose 2*r - 3*r - 2 = -2*a, -4*r + 16 = 0. Calculate the common denominator of (135/42 - a)/(4/40) and p.
7
Let s = -730462191449/405343786 + 1/6537803. Let g = s - -1802. Find the common denominator of -47/20 and g.
620
Let s = -2319 + 62657/27. Calculate the common denominator of -89/252 and s.
756
Let z be (-1)/((-3)/(-2)) + (-2247)/(-9). Find the common denominator of (-4)/(-10) + z/(-10) and 87/8.
8
Suppose -3*k + 0*k + 9 = 0. Suppose n + 0 = x + 22, -5*n + k*x = -102. What is the lowest common multiple of (-11)/2*-4*(2 + -1) and n?
198
Let t = 4 + -20. Let o be 7/((-84)/t)*6. Suppose -5*q - o + 88 = 0. Find the common denominator of 20/7 and q.
7
Let r(f) = -f**3 + f**2 + 2*f + 11. Suppose -4*z + 39 = 4*w - 21, 2*w - z = 33. Let h = w - 10. Calculate the lowest common multiple of r(0) and h.
66
Suppose -13 = -5*w + 2. Suppose k = -2*k - 3, -w*u + 2*k = 10. Calculate the common denominator of -79/8 and 5/(-12) + u/(-6).
8
What is the common denominator of (9/(-35))/((-6)/21) and -101/16?
80
What is the least common multiple of 104 and ((-6)/10)/((-6)/20)?
104
Let z = -18047/6 + 3030. Find the common denominator of z and (-1)/(-6)*645/10.
12
Let d(s) = -35*s. Let i(v) = -v**2 + 5*v + 8. Let t be i(6). Let z be d(t). What is the common denominator of (12/z)/(16/812) and -25/11?
110
Let x = -140234/39 - -3596. Find the common denominator of -2 - (-68)/16 - -2 and x.
156
What is the least common multiple of ((-7)/2)/((-110)/20 - -5) and 70?
70
Let k(i) = -i**3 - 3*i**2 + 16*i + 9. What is the smallest common multiple of k(-6) and 11?
231
Let r = 8 + -86. Let q be 1094/(-6)*(-3)/7. Let c = r + q. What is the common denominator of 41/10 and c?
70
Suppose -5 = -23*q + 22*q, -60 = -4*v - 4*q. Calculate the lowest common multiple of 108 and v.
540
Suppose 4*d + 0*d - 8 = 0. Suppose -d = 2*k - 3*k. Suppose 0 = 2*j - 14 - 0. What is the least common multiple of k and j?
14
Let f = -12/47 - -2985/94. Let n(v) = -5*v**2 + 3*v + 2. Let y be n(-2). Let q = y - -48. Calculate the common denominator of f and q.
2
Let y(p) = p**3 + 6*p**2 + 4. Let q(w) = -w**3 - 3*w**2 - 9*w - 18. Calculate the smallest common multiple of q(-4) and y(-6).
68
Let g(y) = y**2 - 3. What is the least common multiple of 221/26 - (-75)/(-30) and g(3)?
6
Suppose -2*i = 4*j - 42, -4*j - 14 - 7 = -i. Let o = -1 + i. Calculate the least common multiple of o and 1*2*(-2 + 9).
140
Let c = -11 - -50. Let u = 17 + c. What is the common denominator of 966/u - 0/2 and 83/22?
44
Let a = 42/1759 + -50443/270886. Find the common denominator of a and 21/44.
308
Calculate the common denominator of 5691/2254 - 2/7 and 23/(-3)*(-15)/100.
460
Find the common denominator of 119/40 and 97 + -103 + (1 - (-397)/80).
80
Suppose 2*o = 4*o - 30. Suppose 5*j + 2*v - 29 = 0, -2*v + 12 = 3*j + v. Calculate the smallest common multiple of j and (-8)/(-10)*o/6.
14
Let i = -2373/2 + 64111/54. Let l = 124/3 + -50. Calculate the common denominator of l and i.
27
Let a(l) = -3*l - 2. Let k be 1/8 + 676/(-32). Let f be k/(-14)*(-16)/6. What is the least common multiple of a(f) and 1?
10
Let q = 1889/36 - 524/9. Let n = -2497 - -34933/14. Find the common denominator of n and q.
28
What is the common denominator of 36/(-10) + (-30)/(-75) and -125/36?
180
Let p = -386 + 392. Calculate the smallest common multiple of p and 12.
12
Let o(a) = 2*a - 4. Let n(z) = -13 - 7 + 29 + 43 + 5*z. Calculate the smallest common multiple of n(-10) and o(5).
6
What is the lowest common multiple of (50/(-15))/(-4 + 789/198) and 44?
220
Let r = -227 + 80. Let s = r + -131. Calculate the common denominator of s/56 - (-4)/16 and 55/6.
42
Let r(j) = -j**2 - 7*j - 9. Let u(s) = -s**3 + 10*s**2 - 9*s - 4. Let y be u(9). Calculate the lowest common multiple of (1 + (-6)/10)*5 and r(y).
6
Let o = 2786 + -2636. What is the smallest common multiple of o and 225?
450
Calculate the common denominator of 51/40 and 104/(-606) - (-195)/1170.
4040
Suppose 13*p - 8*p = 6890. Calculate the common denominator of 18/(-45) - p/180 and -53/8.
72
Let q = 8 - 4. Suppose -q*z - 2*j - 26020 = 0, z + j = -1629 - 4875. Let c = 58613/9 + z. Find the common denominator of -1/11 and c.
99
Calculate the common denominator of (-2)/(-104)*-2*(-1364)/558 and 143/60.
2340
Let w = -116 + 180. What is the smallest common multiple of 9 and (w + 5 - 4) + -2?
63
Let b(t) = -2*t - 7. Let k be b(-12). Suppose 3*j - j + 10 = 3*a, 4*a + j = k. Calculate the smallest common multiple of 13 and a.
52
Suppose -4*z + 16 + 48 = 0. Suppose 0*d = -d + z. Calculate the common denominator of -71/2 and (189/45)/(d/(-5)).
16
What is the common denominator of -73/12 and -9 - -6 - ((-7)/324 + -3)?
324
Let k = -133 - -150. Calculate the lowest common multiple of k and 7.
119
Let a = -17535 - -403220/23. Let m = -11743013/32706 + 28626/79. Let g = a + m. Find the common denomin