.
990
Suppose -18*j + 1044 + 252 = 0. What is the lowest common multiple of 270 and j?
1080
Let q = 10 - 8. Suppose 5*z + 2*t - 26 = 0, -2*z - 18 = -5*z - q*t. Calculate the lowest common multiple of 1 and z.
4
Let z(i) = i**2 + 3*i - 5. Let n be z(2). Suppose 2*b - 4*p - 31 = p, 13 = b - n*p. What is the least common multiple of 18 and b?
18
Let s = -19011/79 - 2484221/632. Let v be 1*7*(-2 + 599). Let f = v + s. Find the common denominator of -57/4 and f.
8
Suppose -3*k = -2*d - 3*d + 150, 30 = d + 4*k. Let t be (-1 - 6)*d/(-35). Suppose -t = -3*m + 18. What is the smallest common multiple of m and 8?
8
Let p be -24 - (-12)/(-3 + -1). Let o = 33 + p. What is the least common multiple of o and 2?
6
Find the common denominator of 2 + -12 + 6104/651 and -31/5.
465
Suppose 3*w - 2*l + 19 = -0*l, -7 = -w - 2*l. Let f(g) = -8*g - 8. What is the least common multiple of f(w) and 18?
144
Let z = -1/22540 + 250759/33810. What is the common denominator of z and -133/12?
12
Find the common denominator of (-580)/(-36)*-6*2/(-152) and -17/24.
456
Let s = 15902 + -556632/35. Find the common denominator of -36/25 and s.
175
Suppose 57*a - 44281 = -10195. Calculate the lowest common multiple of a and 16.
4784
Suppose -2*u + 111 = -o, -o + 4 = 3*u - 155. What is the smallest common multiple of 16 and u?
432
Let j = 89867/2334 + -4/1167. What is the common denominator of j and 43/136?
136
What is the lowest common multiple of 3 + -1 - (-5 + -2 + 4) and 25?
25
Find the common denominator of 3/2 - 3 - 202/(-198) and 51/8.
792
Let i(o) = 85*o + 7. Let t be i(9). Let w = 12373/16 - t. Calculate the common denominator of w and 103/34.
272
Suppose q - 47 = 3*x + 2*x, 0 = -2*x + 4*q - 26. Let z(f) = f**2 + 8*f - 5. Let m = -87 - -91. What is the least common multiple of m and z(x)?
4
Let w(o) = o**2 + 7*o + 2. Let s be w(-7). Suppose 0*r - f = -3*r + 44, -f + 26 = s*r. Calculate the least common multiple of (9/(-6))/(8/(-416)) and r.
546
Suppose -4*f = -641 - 159. Suppose 13*k - f = 3*k. What is the smallest common multiple of k and 4?
20
Suppose -5*l - 19 + 49 = 0. What is the lowest common multiple of 6 and l?
6
Let w(a) = 3*a**2 + 4*a + 3. Suppose 2*t = -4*i - 3*t + 15, 5*i = 4*t + 70. What is the least common multiple of w(-2) and i?
70
Let v = -209909/792 - -2384/9. Find the common denominator of v and -9/32.
352
Let i = 49 - 25. Calculate the common denominator of 48/512*-130 - 6/(-1) and 0/3 - (-226)/i.
48
Let u(l) = 2*l**3 + 14*l**2 - 2*l + 5. Let x be u(-7). Suppose 4*z - x = 1. Calculate the smallest common multiple of z and 1.
5
Suppose 78 = 27*j - 111. Let d(f) = 3*f + f**3 + f**2 - 8 + 4*f + 9*f**2. Calculate the lowest common multiple of d(-9) and j.
70
Suppose 4*x = w - 26, -x = 5*w - 2*w. Let j(b) = 12*b**2 - 2*b + 1. Let n = 0 - -1. What is the lowest common multiple of j(n) and w?
22
Let n(h) = -143*h - 2. Let o = -2 + 1. Let l be n(o). What is the common denominator of 11/18 and l/(-16) + 8 + -5?
144
Let n = 76704131/550 + -139462. What is the common denominator of -31/2 and n?
550
Suppose -9*s + 28560 = 76*s. Calculate the least common multiple of 144 and s.
1008
Suppose -7*p + 3*p = 3*x - 40, -4*x = -p - 47. Let a(b) = -b + 26. What is the least common multiple of a(x) and 3?
42
Suppose 0 = -5*s + 2*c - 3, s = 2*c - 0*c - 7. Suppose 0*g = -q - 2*g - s, -5*g + 2 = 4*q. Calculate the lowest common multiple of 54 and q.
54
Let y be ((-114)/95)/((-6)/(-20)). Let n(b) = b**3 + 3*b**2 - 5*b - 1. Calculate the smallest common multiple of 8 and n(y).
24
Suppose 3*j = 3*u - 285, -5*u + 7*u = 4*j + 194. Calculate the common denominator of 41/12 and (12 - 15)/(-1 + u).
276
Let b be (16/(-4) + 54)/1. Find the common denominator of 1 + b/18 - (1 - 2) and 43/3.
9
Suppose -116 = -26*b + 118. What is the lowest common multiple of 21/1 + 2 + 1 and b?
72
Let p be ((-906)/42)/(2/377). Let i = p - -4070. What is the common denominator of 51/14 and i?
14
Let d(z) = z + 1. Let c be d(0). Let g = -1105157/42 + 26312. What is the common denominator of -19*2/16*c and g?
168
Let b = 23 - 15. Suppose 2*p - 10 = -3*z, -2*p = -0*p - z - 18. Let o = p - 1. What is the lowest common multiple of b and o?
56
Let d be (-2 - -256)*(0 - 1). Calculate the common denominator of -113/6 and (d/(-60))/(66/55).
36
Let w = -604 - -1154. What is the smallest common multiple of w and 150?
1650
Let m = 41/6 + -151/30. Calculate the common denominator of -77/8 and m.
40
Let c be (-52 + 3 + 1)/(-1). Let x = -32 + c. Calculate the smallest common multiple of x and 50.
400
Find the common denominator of 2 + (-18)/12 - (-253)/198 and -43/1140.
3420
Let s = -156623/16 + 9793. Let c = -7779293/308 + 275362/11. Let l = c + 1486/7. Calculate the common denominator of s and l.
16
Let m be (6/(-4))/((-21)/11310). Let v = m + 6871/28. Let h = 10497/10 - v. What is the common denominator of h and 101/8?
40
Suppose -q = 2*i + 2, 4*q + 8 = 5*i - 13. What is the common denominator of (23/(-20))/(1/q) and 2145/(-22)*(-4)/18?
15
Suppose 364 = -3*q + 400. What is the lowest common multiple of q and 36?
36
What is the common denominator of (-81)/135 + -1 + (-141)/(-30) and (118/4)/((-5)/2)?
10
Suppose 0 = -4*z + 17 + 3. Suppose j = z - 2. Calculate the common denominator of 133/18 and (j - 1)*325/60.
18
Let g(v) = 4*v + 1. Let h be g(1). Let w(a) = 10*a - 36. Calculate the smallest common multiple of w(h) and 12.
84
Let v(c) = -8*c**3 + 3*c**2 + 5*c + 6. Let t be v(-5). Let w = -4157/4 + t. Find the common denominator of 157/30 and w.
60
Let h = -18475265/788676 - 139/9389. Let r = h + 263/21. Let l = 1975/318 + -7/159. Find the common denominator of l and r.
12
What is the common denominator of (-343)/(-240) - 77/385 and ((-22)/(-72))/(2/(-20))?
144
Let b = 3 + -1. Suppose u = -b*u - 48. Calculate the least common multiple of 8 and (8/u)/((-1)/14).
56
Let s = 3625/7 + -518. Calculate the common denominator of 49/164 and s.
1148
Suppose -197*z = -181*z - 96. Let q(h) = -h**3 - 3*h**2 - 7*h + 1. Calculate the smallest common multiple of q(-5) and z.
258
Suppose 4*k - 5 = -3*d + 2, 2*k = 4*d - 46. Let v be 6/(-8) - 201/(-12). Let o = v - 13. What is the lowest common multiple of d and o?
9
Let v = -18 - -15. Let b be v/6*(-9 - -1). Calculate the common denominator of 109/10 and 30/(-2)*b/8.
10
Calculate the common denominator of (-11)/88 - 132/16 and 37/20.
40
Let v = -9733 + 233669/24. What is the common denominator of (-51)/54 - 8/(-16) and v?
72
What is the common denominator of (-13)/14 - (-3)/30 and 111/50?
350
Suppose -2*b = 3*j - 115, 0 = -5*b - j + 308 - 27. What is the lowest common multiple of b and 42?
168
What is the common denominator of (2/147)/((-12)/(-45)) and -19/56?
392
Let h = 4547/6 - 761. Let j(u) = 4*u**2 - 2. Let q be j(3). Find the common denominator of q/153 + 47/(-90) and h.
30
Suppose -3*q - 6 + 18 = 0. Let b be (1 - 1)*(-4 - (-1 - 4)). Suppose b*d = -4*d + 4. What is the least common multiple of q and d?
4
Let w = 1231902143/503588 - -1/251794. Let p = w - 2470. Let n = -2503 + 60107/24. What is the common denominator of p and n?
24
Let o(l) = -7*l + 1. Suppose -5*j + 16 + 19 = 0. Let d = j + -8. Calculate the lowest common multiple of o(d) and 8.
8
Let g be 9/(-18) + (-10)/(-4). Suppose 7*p = g*p - 2025. Calculate the common denominator of 40 and 2/(-8) + p/204.
17
Suppose -15 = 3*i, 2*b + 490 = 3*b - 5*i. Let z = -71452 + 431591/6. Let d = z - b. What is the common denominator of -64/3 and d?
6
Calculate the least common multiple of 3/((-9)/(-12)*1) and 7.
28
Let d = -108487/18620 + -22/931. Let h be 86 - 0*(-1)/(-4). Calculate the common denominator of d and (h/(-4))/(1*2).
20
Suppose -5*r + 25 = -0*r, 1 = -2*z + r. Calculate the common denominator of 1*-1 - (-1271)/(-451) and 222/27*2/z.
99
Let b = -4428165804977/21764412393724 - 21/268683181. Let z = b + -2/1841. What is the common denominator of -45/11 and z?
44
Let d(l) = -2011*l - 15. Let c be d(3). Calculate the common denominator of 39/8 and 6/(c/3124) - (-2)/(-9).
56
Let u(l) = -6*l + 2. Let v be u(-6). What is the common denominator of ((-22)/4)/(v/(-14)) and -71/12?
228
Let j(n) = n**3 - 15*n**2 - 16*n - 9. Let c be j(16). Let z be 1191/c*(-78)/(-4384). Let b = 40/137 + z. What is the common denominator of 81/14 and 