a.
1106
Let s(i) = i**2 + 4*i - 18. Let n = 17 + -23. Let d be s(n). Let q = -5 - d. Calculate the lowest common multiple of 9 and q.
9
What is the least common multiple of (-23948)/(-14) - ((-2)/(-9))/((-532)/(-1368)) and 20?
3420
Let h(c) = -2*c**3 + 9*c**2 - 13*c + 11. Let v be h(5). Let m = -46 - v. What is the lowest common multiple of 51 and m?
561
Let s(d) = 92*d + 120. Let m be s(-3). Let n = -102 - m. Calculate the lowest common multiple of n and 36.
108
What is the smallest common multiple of (-72)/(-9 - (-3360)/375) and 210?
12600
Calculate the common denominator of -101/40 and -3 + (195/120)/(153/228).
2040
Let w = 756 + -148. Find the common denominator of -44/5 and 1/(-4) + 856/w.
95
Let h(x) = x + 14. Suppose -3*q = 6, 2*d + d - 172 = -4*q. Let g = d + -65. What is the least common multiple of h(g) and 6?
18
Suppose p + 5*b = 23, 0 = 25*p - 20*p + 4*b - 52. Let j = 0 - -2. Suppose 0*y = -j*y + 76. What is the smallest common multiple of p and y?
152
Let q(u) be the first derivative of -u**4/4 - 2*u**3 + 2*u**2 + 9*u - 6. Suppose 218*n = 62*n + 5148. Calculate the least common multiple of q(-7) and n.
330
Let p(u) = -2*u**2 + 18*u - 2. Let s be p(9). Let f(i) = i**3 + 2*i**2 - 1. Let r be f(s). What is the lowest common multiple of 8 and (-1)/(-2) - 91/(-14) - r?
8
Suppose -6 = u - 5. Suppose 0 = -3*a - 2*d + 17, -2*a + 0*d = -3*d + 6. What is the smallest common multiple of (u*a)/(-1*(-5)/(-25)) and 6?
30
What is the common denominator of (-35)/(-140) + (-1455)/9396 and 97/126?
10962
Let a = -7 + 9. Let t be 7 + -6 + -1*a. Calculate the lowest common multiple of 24 and (1 - (-26)/(-14))*(t + -34).
120
Let l(j) = -j + 14. Let i be l(11). Suppose -r - 3*n - i = 3*r, 5*r + n - 10 = 0. Calculate the least common multiple of (332 - 0)/(5 - r) and 18.
1494
Find the common denominator of 53/216 and ((-10)/81)/(-10)*3*(-5)/89.
19224
Suppose -1 + 5 = 2*j. Let l be (6/(-24))/((-4)/48). Suppose -l*r - 10*r = -52. What is the lowest common multiple of j and r?
4
Let c be (-8 - 88/(-10))*310/4. Suppose 0 = -51*u + c*u - 220. What is the smallest common multiple of u and 25?
100
Suppose d + 2*t = 4, -21*d - 4*t = -25*d + 28. Calculate the lowest common multiple of d and 4096.
12288
Calculate the common denominator of -1 - 8103/(-17388) - (-49)/((-686)/(-8)) and -31/420.
28980
Let k = -113 - -118. Suppose 0 = -k*l + 6*l - 5*q + 5, -4*q = 3*l - 61. What is the lowest common multiple of 65 and l?
195
Let u = 31243/685400 + -2/3427. What is the common denominator of u and -69/20?
200
Suppose 7*z = 9*z + 4. What is the common denominator of 930/(-2070) + z/(-6) and -2/21?
483
Let m be 12/(-8) - -1 - 1233638/126. Let k = m + 9785. What is the common denominator of k and 109/6?
18
Let n be 18 + ((-70)/(-35))/((-2)/4). Suppose n*r = -12*r + 390. Calculate the lowest common multiple of r and 50.
150
Let z = -23378 + 23504. What is the smallest common multiple of z and 462?
1386
Find the common denominator of (1346/(-4464) - (-4)/(-24)) + 6/16 and -89/186.
558
Let f(x) = 2*x**3 - 17*x**2 - 9*x + 9. What is the smallest common multiple of 2637 and f(9)?
2637
Let d = 663/10 + -409/5. What is the common denominator of 115/1988 and d?
1988
Let q(t) = -3*t**3 + 2*t**2 + 2*t + 1. Let o = -9 - -8. Calculate the smallest common multiple of q(o) and 13.
52
Let p = -14003/32308 + 5/394. What is the common denominator of p and (-1*4)/((-20)/(-52))?
820
Find the common denominator of ((-13)/((-364)/3))/(162/141) and 131/504.
504
Let i(d) = -172*d - 583. What is the least common multiple of 645 and i(-4)?
4515
Let y = 138/1297 - 253933/1496738. What is the common denominator of y and -29/22?
12694
Let p(g) = 71*g**3 - 21*g**2 + 12*g + 2. Calculate the smallest common multiple of p(1) and 3344.
13376
Let s be 0 + -4 + 1 - (-48057)/18333. Let u = 2/873 - s. Calculate the common denominator of -51/56 and u.
168
Let s = -350/27 + 14. Let c be (-1 - 1)/(-2)*(-5928)/(-792). Let y = c + 1079/66. What is the common denominator of s and y?
54
Suppose -5*l + l - 1116 = 0. Let a = 1039 - 1066. Calculate the common denominator of (1137/l + 4)*2 and a.
93
Let r = -43237/288300 + 410/961. Calculate the common denominator of r and -43/1500.
1500
Suppose -47*r - 399 - 447 = 0. Calculate the common denominator of (-1982)/(-420) + (-6)/21 and (450/r)/(1 - -5).
30
Suppose -13955 - 26977 = -6*p. Let x = -286451/42 + p. What is the common denominator of x and -109/72?
504
What is the common denominator of 155/18*(-27)/(-90) and (39/(-4))/(235/47)?
60
Let v = 3717 + -271366/73. Find the common denominator of v and -21/146.
146
Let i = 52547/12 + -4376. Find the common denominator of i and -53/116.
348
Let u(c) = -6*c**2 - 12 + 9 + 8 + 7 + c**3 - 2*c**2. Calculate the lowest common multiple of u(8) and 168.
168
Let u = 97 + -95. Suppose 9 - 13 = -u*o. Let g(b) = b**2 - 6*b + 2. What is the least common multiple of g(8) and o?
18
Let l be 1 - 1 - (-878)/(-4). Suppose 16*m + 8*m - 9776 = -23*m. Let v = l + m. Find the common denominator of -55/14 and v.
14
Let n(v) = -484*v + 1537. Calculate the least common multiple of n(3) and 629.
3145
What is the common denominator of 47/10 and (4*90/(-48))/(50 + 1/1)?
170
Let u = -8453/5 + 202799/120. What is the common denominator of u and 29/5850?
23400
Suppose s + 12 = 27. Calculate the least common multiple of s and ((-355)/284)/(-2 + 47/24).
30
Let c = 946709/880 - 5379/5. What is the common denominator of -151/12 and c?
528
Suppose -2*x + 2*j + 22 = 0, -5*x = j - 30 + 11. What is the smallest common multiple of x and 118?
590
Suppose 14*v - 13*v + 15552 = -c, 4*v = 4*c + 62216. Let x = 2395145/154 + c. Let a = -13011/13780 - 4/689. What is the common denominator of a and x?
1540
Find the common denominator of ((-64)/(-48))/(100/(-170)) and -43/570.
570
Let o = 46/251 - 7701/7781. Suppose -26 - 77 = 5*w + t, -2*t + 88 = -4*w. What is the common denominator of 10/(-15) - 95/w and o?
217
Let b be ((-24)/10)/(8/(-480)). Suppose 8*l - 3*l + h - 720 = 0, 4*h = l - b. What is the least common multiple of l and 12?
144
Suppose -5*a = -0*a + 5, q - 3 = -2*a. Suppose -26 = -q*s + 34. Let d = 6371 - 6355. What is the lowest common multiple of d and s?
48
Let j be (11387/(-2690))/((-4)/(-4)). Let a = j + -18/269. Find the common denominator of a and -31/51.
510
Let b = 7 + 3. What is the smallest common multiple of 13128/252 - (4 + 656/(-168)) and b?
260
Suppose 2*h = o + 20, -2*h - 2*o + 24 = -4*o. What is the common denominator of 10/9 and h/10 + (-73)/(-70)?
630
Let o be -1 + 279*(-2)/2. Let f be (-3177)/(-2)*(665/(-114) + 6). Let l = o + f. What is the common denominator of -35/2 and l?
4
Let r(f) = -11*f + 284. Calculate the lowest common multiple of 567 and r(-11).
2835
Let l = 61812 - 29153. Let r = 162383/5 - l. Let i = -853/5 - r. Find the common denominator of 61/2 and i.
10
Let p(g) = -g**3 + g**2 + 63*g - 26. What is the smallest common multiple of p(8) and 24?
120
Let p be 2/5 + (-860)/25. Let z = p + 40. Suppose 2*r = 4*m - 94, 8*m - 78 = 5*m + 4*r. Calculate the least common multiple of m and z.
66
Suppose -3*u - 782 = -5*z, -296 = 3*z - 5*z + 4*u. Calculate the smallest common multiple of z and 20.
160
What is the common denominator of 1 - 0 - (-16 - (-37850)/2280) and 61/342?
684
What is the common denominator of ((-2)/3)/(23569/17094) and -55/3393?
23751
Suppose -23 - 32 = -11*s. Suppose 76 = s*v - 2*v - 4*i, -5*i = 4*v - 91. What is the smallest common multiple of 24 and v?
24
Suppose 10*j = 185 + 415. Let r be ((-145)/j)/(194/(-1006)). Let h = r - 286/97. Find the common denominator of -99/8 and h.
24
Let s(f) = f**3 - 22*f**2 + 58*f - 13. Let p be (-1430)/(-75) - 4/60. What is the lowest common multiple of 102 and s(p)?
102
Calculate the common denominator of (-5)/25 - -181*((-218)/110 + 2) and -15/299.
3289
Let b(u) = u - 1. Let m be b(12). Let v(l) = m*l - 2 + 15*l - 9*l - 4 + l**2. Calculate the smallest common multiple of v(-18) and 22.
132
Suppose 0 = w - 9 - 1. Suppose -2*c + 3*i + 742 = 0, 4*c - 2*i + 4*i = 1452. Suppose 30*x - 115 = c. What is the smallest common multiple of x and w?
80
What is the common denominator of (-3751)/744 + -1 + -2 + (-22)/(-6) and -25/11532?
23064
Let u be (-6)/(-3) - (2 - (1 - -3)). Suppose -3*m