**2 - 1. Suppose y + 5 = 0, r + 2*y = -0 - 9. What is the least common multiple of s(r) and 12?
84
Let y(x) = 10*x**3 - 10*x**2 + 12*x + 7. Let z(c) = 3*c**3 - 3*c**2 + 4*c + 2. Let r(n) = -2*y(n) + 7*z(n). What is the smallest common multiple of 24 and r(2)?
24
Suppose 4*x - 7*r + 3*r = -60, 5*x + 40 = -2*r. What is the common denominator of -97/72 and 8/x + 11*(-10)/(-450)?
72
Suppose 2*q - 8 = -2*q. Suppose k = -0 - 3, -q*o + 3*k = -13. Suppose 691*u = 684*u + 42. Calculate the smallest common multiple of o and u.
6
Let u = 134036 - 7505977/56. What is the common denominator of u and 1 + -1 - (-39)/(-32)?
224
Let s = 14 - -52. Calculate the least common multiple of (-8192)/(-1152) + (-11)/99*10 and s.
66
Let u = -14045/6 + 2322. Suppose 5*p + 4*r - 105 = 1, 3*r = -3*p + 66. What is the common denominator of (-6)/(-16)*(1 - 602/p) and u?
6
Suppose -3*a + 32 = 3*o - 2*a, 0 = -5*o - a + 52. Suppose -9 - 19 = -4*c. What is the least common multiple of o and (-3 + 2)*c*-5?
70
Let r be 113237/85 - 2/10*1. Let j(v) = v**3 + 5*v**2 + 6. Let s be j(-5). Find the common denominator of -67/21 and ((r/30)/s)/((-48)/(-10)).
168
Let b = -133/45 - -973/720. Calculate the common denominator of -97/360 and b.
720
Suppose 5*z - 26 - 2 = -2*q, -3*q + z + 42 = 0. What is the smallest common multiple of 4506 and q?
31542
Let o = -27669531/5068 + 38218/7. What is the common denominator of o and -139/18?
6516
Let s(v) = 176*v + 890. Suppose -a + 0*a + 50 = 0. Calculate the lowest common multiple of a and s(-5).
50
Let x be -563 - (-6 - 3*(-1 + -1)). Let m = -557 - x. Calculate the lowest common multiple of m and 12.
12
Let z = 2758 + -2764. Let t(j) be the third derivative of -3*j**4/4 - 31*j**3/6 - 2*j**2. What is the lowest common multiple of t(z) and 9?
693
Let h be -1*(-9)/3 + -4 + 6. Suppose h*r = -190 + 20. Calculate the common denominator of -1 + ((-2)/6)/(r/(-150)) and -24/7.
119
Suppose -5*k + 106 = -4. Suppose 42*s = 40*s + 168. Let a = 100 - s. Calculate the smallest common multiple of a and k.
176
Let s be 14/(-21) - (-28)/6. Suppose 2 = -3*j - 4*l + 3, -s*j - 9 = -5*l. Find the common denominator of j - 2/4*656/40 and -33/2.
10
Let z(j) = -j**3 + 3*j**2 + 8*j - 5. Let x(p) = 2*p**3 - 5*p**2 - 18*p + 11. Let d(h) = -4*x(h) - 7*z(h). What is the smallest common multiple of d(3) and 3?
3
Let o(x) = -x + 3. Let w = -72275 - -72293. Calculate the least common multiple of o(-3) and w.
18
Let j = 258 + -202. Let v(r) = r**2 - 6*r. What is the lowest common multiple of j and v(7)?
56
What is the common denominator of 83/24 and 12110/(-116928) + 5 + 220/(-45)?
2784
Let z(s) = -s**3 - 16*s**2 - 24*s - 75. What is the smallest common multiple of z(-15) and 180?
180
Let s = 196973/20 - 9851. Find the common denominator of s and 47/510.
1020
Suppose -2*k + 2*c = -0*k - 344, -25 = 5*c. Calculate the smallest common multiple of 10 and k.
1670
Let k = -10611 + 10641. Calculate the smallest common multiple of 325 and k.
1950
Suppose -7*q + 5*q = 8*q. Suppose -5*o + l = -5 - 114, q = -o + l + 23. Calculate the smallest common multiple of o and 40.
120
Suppose -r + 179 = 43. What is the least common multiple of r and -84*(-19)/171*6?
952
Let r = 7417 - 7309. What is the lowest common multiple of r and 20?
540
Let o = -532228/35 - -15206. Let b = 1103 + -27579/25. Find the common denominator of o and b.
175
Let v(i) = i**2 - 17*i + 35. Suppose x - 82 = -5*g, -2 = g + 5*x - 4. Let m be v(g). What is the common denominator of (-673)/(-30) + 14/m and 43/3?
6
Let m = -494/1163 + 666339/1237432. Calculate the common denominator of 37/308 and m.
11704
Suppose 0 = 5*a - 3*m + 1362, -7*m + 274 = -a - 6*m. Suppose f - 17 = 17. Calculate the smallest common multiple of f and a/(-315)*21/2.
306
Suppose -12*z + 9*z = u + 227, -223 = 3*z - u. Find the common denominator of -2 + 2 + 74/(-9) and 3/(-2)*170/z.
45
Let r(b) be the third derivative of 3*b**5/20 + 7*b**4/24 + 4*b**3/3 - 16*b**2 + b. What is the smallest common multiple of r(-2) and 2?
30
Suppose 142*f + 108 = 151*f. Let c = -195 - -303. What is the lowest common multiple of c and f?
108
Let o(s) = s**2 - 84*s - 1633. What is the smallest common multiple of o(-38) and 143?
3003
Suppose 2*v + 78 = -2*y + 2966, 2*v = 8. What is the lowest common multiple of y and 27?
4320
Let x = -586 + 1059. Suppose 0 = d + 451 - x. What is the least common multiple of (39/(-2))/((-3)/4) and d?
286
Let t(u) = -149*u - 5. Let f be t(-2). Let y = -2339/8 + f. Let h = -3681 - -22135/6. Calculate the common denominator of h and y.
24
Let r = -2 - -16. Suppose -2*h + 3*b - r = -b, 0 = 2*h - b + 5. Let x(z) = -5*z**3 + z**2 + 3*z + 2. What is the lowest common multiple of 3 and x(h)?
15
Suppose 0 = -3*f - 3*r + 18, -4*r + 9*r + 42 = 4*f. Suppose 2 + f = 5*s. Let o = -30 - -33. What is the smallest common multiple of o and s?
6
Let y = 1448807/135 + -10732. Find the common denominator of y and (-335)/45 + (-5)/((-15)/6).
135
Let y(f) = -2*f + 4. Let x(o) = -o**3 + 39*o**2 - 68*o - 216. Calculate the lowest common multiple of y(-7) and x(37).
18
Suppose -6*a + 2*a - 24 = -2*o, -a - 15 = -2*o. Let w be 5*-3 + 230/46. Calculate the lowest common multiple of -4*((-12)/4 + w/4) and o.
66
Suppose 5*j - 40*n + 37*n + 103 = 0, -n + 74 = -4*j. Let f = 135 - 84. Let v = j + f. What is the common denominator of -2/11 and v?
11
Let k(q) = -q**3 - 78*q**2 + 2. Calculate the least common multiple of 5978 and k(-78).
5978
Suppose -90 - 34 = -31*t. Suppose -7*j - 18 = -4*j. What is the least common multiple of 12*(-3 + (-27)/j) and t?
36
Let q = 8752 + 3385. Let s = -7632 + q. Let c = s - 45127/10. Find the common denominator of c and 59/5.
10
Let t = 28/15 - 929/345. Calculate the common denominator of 41/30 and t.
690
Suppose 3*k = k. Suppose k*p + p - 6 = 0. Suppose 35307 = 521*h + 553*h - 3357. What is the lowest common multiple of p and h?
36
Let l = 8455/611082 - -5/1997. What is the common denominator of l and 41/136?
1224
Let n = 95 + -43. What is the smallest common multiple of n and 52?
52
Let v = 2715915/152 + -17868. Find the common denominator of -17/40 and v.
760
Let z be (22/8)/(103689/51822 - 2). Let a = z + -3173. Calculate the common denominator of a and -17/150.
150
Let j = 5 - 33. Let p(f) = -f**2 + 8*f + 1. What is the lowest common multiple of p(7) and 14/2*(-40)/j?
40
Let q = 7471/330 - -29/55. Let f be 0/1 - 850/4. Let i = 2545/12 + f. Find the common denominator of q and i.
12
Let n be 3/(9 - 3051/342). Suppose -n*s - 5*s = -645. What is the least common multiple of s and 45?
45
Suppose -39*x = 201 - 396. Calculate the least common multiple of 262 and x.
1310
Suppose -5*n - 4812 = -3*g, -3852 = 2*n + 2*n - 3*g. Let o be (-3893)/204*(15678/24)/(-13). Let w = o + n. Find the common denominator of w and -59/12.
48
Let b = 81642907/2166913350 - 2/1383725. What is the common denominator of -7/26 and b?
20358
Let a(v) = -v**2 + 34*v - 66. Let x be a(32). What is the common denominator of 43/21 and 3/(-1) - (x - 16/174)?
609
Let p(a) = -35*a**2 + 27*a + 20. Let h be p(20). Calculate the common denominator of 5480/h*(3 - -1) and -13/28.
84
Let y = 65393/13130 + -318/65. Calculate the common denominator of y and 65/606.
3030
Let q = 30 + -27. Suppose q*h = -h - 4, 5*u - h = 281. Suppose -63*l = -65*l + u. What is the smallest common multiple of 26 and l?
364
Let r be 8770/(-2) - (-4 - 0). Let l = r - -65749/15. What is the common denominator of -11/18 and l?
90
Let d = 27 - 14. Let a = d + -11. Suppose 12 = -a*p + 8*p. What is the smallest common multiple of p and 6?
6
Let y = 2/73371 + 9831364/12839925. Let t = y + 11/35. What is the common denominator of t and -18/25?
25
Suppose 3*i = 18, -2556*o + 5*i + 8985 = -2551*o. What is the least common multiple of 9 and o?
5409
Let m = -5696 - -6268. What is the smallest common multiple of m and 104?
1144
What is the smallest common multiple of 17 - ((0 - -1) + 0) and -5 + (-70)/(-14) + 14?
112
Let r(t) = -t**2 + 15*t + 166. What is the lowest common multiple of 132 and r(17)?
132
Suppose -14 = l - 0*l + x, -3*x = -3*l - 18. Calculate the common denominator of 4472/(-3600) - l/45 and -4 - -6 - 131/10.
50
Let y be 40/(-564)*(-4)/(-176 + 4). Let i = -65399/32336 - y. Find the common denominator of i a