
Let x(i) = -i**2 + 4*i + 21. Calculate the least common multiple of (-12)/(-14)*(-28)/(-6) and x(5).
16
Let t be (1/(-2))/((-7)/252*3). Let c(g) = g. Let k = 3 + 3. Calculate the smallest common multiple of k and c(t).
6
Let o = -4927/1111 + -2/101. Let r = -1255 + 149344/119. Let t = r - 6305/238. What is the common denominator of o and t?
22
Let b = 483 - 303. What is the smallest common multiple of b and 150?
900
Suppose -2 = -z - u - 0, 0 = 2*z - 3*u + 11. Calculate the common denominator of 125/36 and (z - 676/(-40))/(-3).
180
Let r = 5285745/442 - 23917/2. Calculate the common denominator of 89/104 and r.
1768
Let a(y) = -y**3 + 7*y**2 + y + 17. Let i be a(7). Suppose 28 = 2*c - z + 7, -3*c + i = z. What is the smallest common multiple of 2 and c?
18
Let u = -7174/235 - 182/47. Let b = -953/20 - u. Calculate the common denominator of 5/4 and b.
4
Let m(h) = 73*h + 4. Let b(a) = -a - 1. Let v(w) = 3*b(w) + m(w). Let x be v(1). Suppose -5*z + 9 = -x. What is the smallest common multiple of 4 and z?
16
Let m(a) = -a**2 - a + 4. Let q be m(5). Let b = 37 + q. Calculate the least common multiple of 6 and b.
66
Let d be 13 - ((4 - 2) + -4). What is the common denominator of (4/(-30))/((-16)/1404) and 5/30*27/d?
10
Suppose 0 = r - 4*h - 7 - 11, 0 = -4*r + h - 3. Let n be ((-102)/(-4))/(r/(-156)). Let z = n + -9988/5. Find the common denominator of z and 40.
5
Suppose -5*r - 2*q + 55 = 0, 5*r + 56 = 9*r + 4*q. Calculate the smallest common multiple of 33 and r.
99
What is the common denominator of -125/96 and (2071/57)/((-14)/(-3))?
672
What is the common denominator of (7 + 174/(-24))/((-12)/(-272)) and 131/18?
18
Let z be (1649/(-6))/(-17)*-5*1. Let h = z - -78. Calculate the common denominator of h and -5/7.
42
Let c(a) be the second derivative of a**4/6 + a**3/6 - 5*a**2/2 - 7*a. Let g be c(4). Let f = g + -23. Calculate the lowest common multiple of 3 and f.
24
Find the common denominator of -6 + (-633)/150 + 8 and -13/70.
350
Let h = -57 + 59. Calculate the lowest common multiple of 2 and (-207)/(-45) + h + (-16)/10.
10
Suppose 0 = -5*i + 4*u + 46, 7*u - 6 = -3*i + 4*u. What is the smallest common multiple of 222 and i?
222
Let j be 0/20*(-1 - -2). Suppose 4*z - 5*z + 6 = j. Calculate the lowest common multiple of z and 88.
264
Let m(s) = s**3 - s**2 + s + 49. What is the smallest common multiple of 70 and m(0)?
490
Let d(y) = 8*y - 169. Calculate the smallest common multiple of d(28) and 55.
55
Suppose 6 = -3*g, -t - 2*g + 418 + 113 = 0. Suppose -2*w = -5*k - 597, 5*k + t = 5*w - 980. What is the common denominator of 67/6 and (2/(-21))/((-8)/w)?
42
Let a be 164/14 + 2/7. Let j be (-60)/(-18)*a/5. What is the common denominator of (2/(-6))/(j/(-1020)) and -125/6?
6
Let w = -15 - -17. Suppose 0*j - 3*j - 5*a + 33 = 0, w*j = -3*a + 21. What is the least common multiple of j and 7?
42
Let j be (0 - -2) + (0 - 2). Suppose j = 5*r - 9 - 6. Suppose 0 = -w - 1 + r. Calculate the smallest common multiple of 6 and w.
6
Suppose 5*d = 2*d + 174. Suppose -50 = -d*o + 53*o. Calculate the least common multiple of o and 112.
560
Let b(w) = 8*w**2 - w. Calculate the smallest common multiple of b(1) and ((-153)/(-6) + -11)*(-2 + 8/2).
203
Let l = 1819029/10 - 181700. Let f be -2 - -1 - 431/(-2). Let t = l - f. Calculate the common denominator of -14 and t.
5
Let p be (-1)/4 + (-135)/(-12). Let g = p - 8. Suppose -5*z - 9 = -u - 0*u, 4*z - 8 = -g*u. What is the smallest common multiple of 2 and u?
4
Let l be (-2 - 289/909)*37. Let x = l + -383/101. Let s = x - -2807/36. Find the common denominator of 93/2 and s.
12
Let f be 14/42 - (-64)/(-3). Let y be -498*f/198*-3. Let j = y - -159. Calculate the common denominator of j and 99/8.
88
Let r = 5267/4906 - -14/223. What is the common denominator of 67/8 - (-5)/(-10) and r?
88
Let o = 975 + -897. Calculate the smallest common multiple of 11 and o.
858
Let h = -8 + 8. Suppose -4*v - 2*k - 10038 = h, 1426 - 6450 = 2*v - 4*k. Find the common denominator of -37/14 and v/120 - 6/(-8).
42
Let c = 10773289/11 - 974763. Let n = c + -4630. Calculate the common denominator of (-21)/10 + 0 - 1 and n.
110
Let o(k) = 16*k - 1. Let r(b) = -5*b**2 - b - 3. Let l be r(-2). Calculate the least common multiple of (-2)/7 - 174/l and o(1).
120
Let x = -42 - -49. What is the common denominator of (2/(1 - x))/((-11)/(-150)) and (-2 - -3)/((-13)/49)?
143
Let s(x) be the second derivative of x**4/3 + x**3/2 + x**2/2 + 21*x. Calculate the lowest common multiple of 47 and s(-1).
94
Find the common denominator of 3 - (-27)/(-882)*(-262)/(-3) and -48/35.
245
Let i = -2/1015 + -4862/5075. Calculate the common denominator of i and 161/30.
150
Let q be (26/(-4))/((-13)/(-182)). Find the common denominator of -36 and (q - 0)*(-11)/(-110).
10
Let q(o) = -58*o - 162. Calculate the least common multiple of 98 and q(-4).
490
Let u = -382 - -397. What is the lowest common multiple of 8 and u?
120
Let u = 14379 - 287649/20. Calculate the common denominator of 29/15 and u.
60
Suppose 965*p + 450 = 974*p. What is the smallest common multiple of p and 65?
650
Let k = 892531/42 - 21252. Let i = 58 + -123/2. Calculate the common denominator of k and i.
42
Let h be (-4)/10 - 972/45. Let r = h - -56. Calculate the smallest common multiple of r and 14.
238
Suppose -43 = -5*y - z, -2*y + 3*z = 2*y - 42. Suppose 5*q = f + 108 - y, 4*q - 3*f - 77 = 0. Calculate the lowest common multiple of 6 and q.
60
Let j = 722 + -410. Calculate the common denominator of 420/j*4/5 and 29.
13
Suppose -4*s = -464 - 136. What is the common denominator of -9/2 and 102/(-4)*(35/s - 0)?
20
Let b(l) = l**2 - 6*l - 69. Suppose 3*n = -t, 3*n = -3*t + 5*t + 9. What is the lowest common multiple of b(-6) and n?
3
Let i = 15839 - 60617/4. Let g = i - 35557/52. Find the common denominator of 63/2 and g.
26
Let j be (76/(-61275))/((-4)/10). Let r = -7326737/19 - -18902430137/49020. Let f = r - j. Calculate the common denominator of -47/8 and f.
8
What is the common denominator of (-1 + -45)*(-1)/(-2) and 2 + 4 + ((-9779)/(-63))/(-11)?
9
Let n be (-4)/(9 + -1) - (-1261)/2426. Let g = n + 102673/21834. What is the common denominator of -43/8 and g?
72
Let u be (-525)/165 - (-4)/22. Calculate the common denominator of ((-62)/120)/((-3)/9) and ((-6363)/(-14))/u*1/6.
20
Let d(h) = h + 10. Let l be d(-9). Let t = l + 19. What is the lowest common multiple of 16 and t?
80
Suppose 4*f = 3*f + 129. Let v = 151 - f. Calculate the smallest common multiple of v and 18.
198
Let s(b) = -b**3 - 20*b**2 - 17*b + 40. Let u be s(-19). Calculate the common denominator of 31/2 and (u + (-108)/40)*(-140)/48.
24
Let t = -38 - -64. Calculate the smallest common multiple of 8 and 524/t - 8/52.
40
Let r = 12 - 4. Let d(y) = -y**3 - 26*y**2 - 121*y - 1. Calculate the smallest common multiple of d(-6) and r.
40
Suppose 0*y - 3*y - 12 = 0, 0 = j + y + 24. What is the common denominator of 3 + ((-2058)/j)/(-7) and (-2)/(-87)*-177 + 4?
290
What is the lowest common multiple of 3/((-4)/(-14) + 200/(-896)) and 20?
240
Let s = -37766/1420145 - 33794960517/8399305588. Let j = s + 1/7393. What is the common denominator of j and 139/6?
60
Let b = -9 + 12. Let f(p) = -4*p - p**b + 0*p - p - 2 + 9*p**2 - 6. What is the least common multiple of 20 and f(8)?
80
Let l(d) = d**2 + 5*d + 7. Let b be l(-6). Suppose 1 = -a, 3*a - b = -5*p + p. Calculate the smallest common multiple of 7 and p.
28
Suppose z - 8*g + 10*g = 13, 0 = -3*z - g + 59. Calculate the least common multiple of 35 and z.
105
Let j(u) = -10*u. Let a be j(-5). Let d = a - 30. Suppose -5*c - 3*f + 90 = 0, -2*c + c + f + 18 = 0. Calculate the smallest common multiple of c and d.
180
Let w(a) = a**2 + 4*a - 5. Calculate the smallest common multiple of w(5) and 15.
120
Let d = -167863/21726 + 5/1207. Calculate the common denominator of -65/6 and d.
18
Calculate the common denominator of 73/66 and (3 - (-150)/(-99))*(-2)/7.
66
Let a(y) = -y**2 - 9*y. Let q be a(-10). Let s be 5/q - 175/(-366). Let i = s - 1601/244. Calculate the common denominator of -1 and i.
12
Let b = 52 - 87. Let w = b - -38. What is the least common multiple of (3/(-6))/(w/(-120)) and 2?
20
Suppose -11*f = 42 - 614. What is the smallest common multiple of 40 and f?
520
Suppose -4*v = 13 