 - 159. Calculate the lowest common multiple of q(15) and v.
360
Let h = 12/577 - -45343/11540. What is the common denominator of h and -127/2270?
4540
Suppose 51*i - 55*i = -12. Calculate the common denominator of ((-42)/15)/(i/150*48) and (-47)/6*12/16.
24
Let h = 221/20 + -57/5. Calculate the common denominator of h and 59/624.
3120
Suppose g + 12 = 7*g. Suppose -5*v = 20, -7*v = -4*j - g*v + 308. What is the smallest common multiple of j and 9?
72
Let n(q) = -q**3 - 5*q**2 + 6*q + 3. Let u be n(-6). Let h(l) = -l**2 + 4*l + 29. What is the lowest common multiple of h(7) and ((-84)/(-9))/(2/u)?
56
Let v = 13 - -69. Find the common denominator of 145/18 and (-160)/(-2048)*v/(-15).
288
Suppose -16*g + 104090 = 410. Suppose 9*i = -11*i + g. What is the smallest common multiple of i and 22?
3564
Let r(w) = w**3 + 6*w**2 + 6*w + 7. Calculate the least common multiple of 307 + (-3)/5*-5 and r(-3).
2480
Let a(t) be the third derivative of -5*t**4/8 - 5*t**3/6 + t**2 - 102. Calculate the least common multiple of a(-1) and 40.
40
Suppose 5*o + 12 = 52. Suppose 7*k - 11*k = o. Find the common denominator of (-3 - (-38)/(-42)) + k/(-6) and 49/11.
77
Suppose 4*v - 846 = -3*g + 3*v, -2*v = 0. What is the lowest common multiple of g and 18?
846
Suppose -8*m - 6*m = 98. Let b(q) = q**3 + 15*q**2 + 54*q + 4. What is the least common multiple of 380 and b(m)?
3420
Let u = 14325 + -14303. Suppose 5*y = -4*l + 201, 2*y = 4*y - 10. What is the lowest common multiple of u and l?
44
Suppose -5*k + 132 = y + 38, 5*y + 52 = 4*k. Calculate the lowest common multiple of 1098 and k.
1098
Suppose 8*i - i + 28 = 0. Let y be i/18 - (-374)/(-99). Calculate the lowest common multiple of 2/(-6)*0 - 0 - y and 5.
20
Let q(y) = 164*y - 148. What is the least common multiple of q(1) and 1096?
2192
Let a = 10443/4 - 2589. Let l = 16316 - 65293/4. What is the common denominator of l and a?
4
Let q be 2/(1/(-2)*15/255). Find the common denominator of 34/65 and (q/663)/(1/(36/(-15))).
65
Let v(c) = c**2 + 2*c. Let u be v(-2). Let x be 0*(-2)/(u + 6). Calculate the common denominator of (1 + x)*(-122)/(-12) and 27/5.
30
Let h = 3511120 + -19613116249/5586. Calculate the common denominator of -69/2 and h.
5586
Let n be -2 - (15/3 + -3). Let p = 11 - n. Suppose 3*o + j - 40 = 0, 0*o + 76 = 5*o + 4*j. Calculate the smallest common multiple of o and p.
60
Let q = 12277 - 24617/2. Find the common denominator of 554/40 + 15/(-25) and q.
4
Let y(n) = 8 - 85*n + 44*n + 39*n - 5. Let j be y(-3). Suppose j*g = 18 + 9. What is the lowest common multiple of 7 and g?
21
What is the common denominator of ((-1008)/(-128) + -5 + -3)/((-66)/(-56)) and (-193)/36 + 2 + 1?
396
Let p(y) = 4*y - 16. Let w be p(-13). Let t be (-3)/17 - (-8)/w. Let j = t - -32/51. What is the common denominator of j and -11/18?
18
Calculate the common denominator of (3/738)/1*(8 - (-732)/18) and -2/205.
1845
Let x be (-920)/12*(-2)/(32/168). Suppose x = w + 22*w. What is the smallest common multiple of w and 10?
70
What is the common denominator of 3590/359 - (-12158)/(-1232) and 109/616?
616
Let f = -3783405 + 2345711611/620. Let g = 17/62 - f. What is the common denominator of g and -47/36?
180
Suppose -4*l + 25 = l. Let a be 827/l - 24/(-40). Find the common denominator of -43/10 and (-2 - 1) + (6 - a/(-4)).
10
Suppose 2*j - 2*u + 1 = -u, 0 = 4*u + 4. Let z be (j - (-58)/(-4))*(-4)/(-2). Let o = 40 + z. What is the smallest common multiple of o and 5?
45
Let a = -16 - -16. Suppose -39*n + 40*n - 2 = a. What is the smallest common multiple of 140 and n?
140
Let k be (1805/(-15))/(-1 + (-718)/(-702)). Let l = k - -5273. Calculate the common denominator of 139/150 and l.
600
Suppose -m - 119 = -109. Let p(c) = c**3 + 11*c**2 + 6*c + 2. Calculate the lowest common multiple of p(m) and 42.
42
Let c = -40 + 33. Let g = -470/13 - -5987/130. Calculate the common denominator of c/((-21)/(-2)) - (-280)/(-36) and g.
90
Let f be 3/(-1)*(-9)/(1296/2778). Let m = f - 381/8. Calculate the common denominator of 79/10 and m.
20
What is the smallest common multiple of (466 - 461) + (-1 + 2 - -2) and 986?
3944
Let d = -4039303629/338 + 11950580. Let k = -1142/31265 + -2/185. Let q = k + d. Calculate the common denominator of -37/12 and q.
12
Calculate the common denominator of 4/25 and 1/(-3) - (2 - 8107/2046).
1550
Let h = 11134 + -10866. Calculate the lowest common multiple of h and 54.
7236
Let x be ((-3299)/(-132))/(9 + (-25)/(-40)). Let j = x + -332/121. Find the common denominator of 127/6 and j.
462
Let p(j) = j**2 - 50. Let g be p(-8). Let o(w) = -4*w + 64. What is the least common multiple of o(g) and 160?
160
Let j(r) = -3*r**3 - 2*r + 1. Let h be j(-2). Let g(x) = -2*x**2 + 3*x + 4. Let s be g(-3). Let v = s + h. Calculate the smallest common multiple of v and 20.
60
Suppose -42*m = 9 - 387. What is the lowest common multiple of m and 1581?
4743
What is the common denominator of -39/154 and (68/5970)/((-174)/(-1305))?
30646
Suppose -16*g + 1584 = -4*g. What is the lowest common multiple of (-14)/3*(-990)/g and 42?
210
Find the common denominator of ((5/2)/(63/90))/((-24)/(-14)) and -71/3327.
13308
Let a be 5*(-5)/15*3. Let t(s) = -3*s**2 - 17*s - 3. Let k be t(a). Suppose -3*h + 37 = k. What is the least common multiple of 4 and h?
20
Suppose -n - w + 16 = 0, -2*n = -n - 5*w - 40. Let h = -9 + 130. Suppose 3*i = 5*i + 4*q - 112, -2*i + h = q. What is the lowest common multiple of n and i?
620
What is the common denominator of (-4)/10 + 14/((-851760)/(-34801)) and -29/20?
4680
Suppose 2*n - k + 9 - 27 = 0, 0 = 3*k. Let a = -28 + 30. Suppose 4*s + i - 29 = 0, -a*s + 5*i + 2 = 3*i. What is the lowest common multiple of n and s?
18
Let j = -2578367107/78 - -33054893. Let l = j - -1095. Find the common denominator of l and 56/11.
858
Suppose 48*q - 4*p + 64 = 50*q, q - 29 = p. Find the common denominator of -157/84 and 195/1225 - 6/q.
588
Let n(t) = -26*t - 84. Let c be n(-4). Suppose 2*x - 10 = -4, 0 = 2*q + 4*x - c. What is the lowest common multiple of q and 43?
172
Let a be 36*(-14*2/12 + 3). Let t = a + -27. Calculate the smallest common multiple of 5 and (6/t)/1 - -3.
5
Let f = -27627 - -27660. Let i(j) = 16*j - 1. Calculate the smallest common multiple of i(1) and f.
165
Suppose 4*a + 29 = 49. Suppose -5*h - a*t + 95 = 0, 0 = h - 2*t - 3*t - 25. Let j(n) = n**3 - 4*n**2 - 2*n - 9. What is the least common multiple of h and j(5)?
60
Let q(b) = -b**2 + 9*b - 12. Suppose 12 + 6 = 2*d. Let x be q(d). Find the common denominator of 37/11 and (x/24)/(2/78).
22
What is the lowest common multiple of (((-432)/(-64))/((-4)/96))/(-2) and 324?
324
Find the common denominator of -145/1074 and (7/(7/(-1)))/8*(-632)/(-126).
22554
Let m = -747/16 + 3/16. Let h = -3/20386 + 38366461/61158. Let q = h - 636. Calculate the common denominator of m and q.
6
Let k = 272/27 + -1549/135. What is the common denominator of 34/2203 and k?
11015
Let c be (-84)/(-36)*(1 - -2). Suppose c = -f + 11. Find the common denominator of (f + (-30)/9)*(-426)/8 and -101/30.
30
What is the common denominator of (-3 - (-12 - -6)) + 5445/(-1734) and -43/8?
2312
Let f(h) = 11*h**2 + 695*h + 869. Suppose -2*i = -4*j + 2*i + 92, 52 = 2*j + 4*i. Calculate the least common multiple of f(-62) and j.
504
Let m(h) = -6*h + 282. What is the lowest common multiple of m(11) and 17?
3672
Suppose 3*a - 9 = -0. Suppose 2*w + 6*y - 3*y - 8 = 0, a*w - 50 = 5*y. Let i = 13 - w. What is the smallest common multiple of 33 and i?
33
Let p = -134455/6 + 8381055/374. What is the common denominator of p and 14/459?
5049
Suppose 15*j - 2384 + 719 = 0. Calculate the least common multiple of j and 888.
888
Let p = -11201/2584 + -13/323. Find the common denominator of 37/11325 and p.
90600
Let n(r) = 44*r**2 + 5*r + 3. Let w be n(-1). Let g = w + -21. Suppose 3*q = 5*q - 18. Calculate the lowest common multiple of q and g.
63
What is the common denominator of 71/1100 and -1 + -6 + 82407/11700?
3300
Suppose 0 = -6*y + 2*q + 90, 18*y - 16*y - 5*q = 69. Suppose -2*m + 40 = 12. Let l = m + -6. Calculate the lowest common multiple of l and y.
24
Suppose 25*j + 13*j = -8*j + 2070. What is the least common multiple of 1503 and j?
7515
Let u be (-6)/(-2) - 4126468/(-2030). Let t = u + -2036. Calcu