 -3).
550
Let p(h) = h**3 + 15*h**2 - 11*h + 9. Let t be p(-16). Let q = 87 + t. Suppose 0 = -10*g + 6*g + q. What is the lowest common multiple of g and 6?
12
Let r(w) = 5*w**2 + 3*w + 1. Suppose -1588*t - 94*t - 12836 + 63296 = 0. What is the lowest common multiple of t and r(-2)?
30
What is the least common multiple of (-34)/(5 + -6 + -1) + (-6 - -7) and 100?
900
Let i be ((-4)/(-8))/((-19)/(-418)). Suppose -h = -3*y + i, -y - 3*h - 22 + 9 = 0. What is the least common multiple of y and 15?
30
Let m = 6/37723 - -1996583/17201688. Calculate the common denominator of 45/8 and m.
456
Calculate the common denominator of (6 - 1) + 268/(-96) and -209*2/72 + (-63)/(-756).
72
Find the common denominator of (-38 - (-400)/(-5))/(2*-7) and -37/2429.
2429
Let n(a) = -35*a**2 - 16*a - 10. Let h be n(-4). Let p = 706 + h. What is the lowest common multiple of p and 7?
1400
Let x = -1046347/1071546 - -913/823. Calculate the common denominator of -57/434 and x.
1302
Let b be 3/(0 + -3) - -3. Suppose 3*p - u = -142, 0 = -p - u + b*u - 44. What is the common denominator of 71/24 - 6/(-36) and p?
8
Let z(s) be the first derivative of s**4/4 - 3*s**2 + 9*s + 114. What is the lowest common multiple of 15 and z(2)?
15
Suppose 0 = 28*q - 1234 - 250. Let c(u) = -u + 2. What is the least common multiple of q and c(0)?
106
Suppose -3*c + 5*x + 140 = 0, -17*x + 20*x + 12 = 0. Suppose -5*w + 15 + c = 0. Calculate the lowest common multiple of w and 231.
231
Let l = 1557 - 1547. What is the smallest common multiple of 80 and l?
80
Let w(q) = -6*q + 142. Let r be w(13). Suppose r*n = 62*n + 2. What is the least common multiple of n and 274?
274
Let l = 1/11394 + -196550/39879. Let a be (-32)/(-1)*(-14)/204. Let s = -1522/561 + a. Find the common denominator of s and l.
154
Suppose 43 = 32*m - 245. Calculate the smallest common multiple of 672 and m.
2016
Let o(j) = -6*j + 17*j - 9*j - 4*j + 137. What is the least common multiple of 88 and o(41)?
440
Let s = -1168099/1734850 + -2/104091. Let o be (-2)/16 + 5027/2200. Let r = o - s. Calculate the common denominator of 97/14 and r.
42
Calculate the common denominator of 1245/955*2*6/(-72) and (-792)/560*(-50)/10.
2674
Suppose -9*s = 200 - 1388. Suppose 0 = -l + o - 21, -3*o = 5*l + o + s. What is the least common multiple of 3 and l/(-10)*(-15)/(-2)?
18
Suppose 27*d = -11*d + 3040. Calculate the smallest common multiple of d and 165.
2640
Let p = 2553 + -1452. Suppose -p + 3893 = -2*l. Let z = 11077/8 + l. Calculate the common denominator of z and 63/8.
8
Let h be -1549*(4/(-18) + 779412339/(-50463)). Let t = 23924989 - h. Let i = t + -7/89. Calculate the common denominator of 19 and i.
7
Suppose 222*x + 5249 = 227*x + 4*z, -2*z = -12. Calculate the lowest common multiple of x and 418.
2090
Suppose 0 = -g - 4*a + 42, -g - 86 = -4*g - 4*a. Let z = g - 10. Calculate the least common multiple of ((-2 - -3)*24)/(1047/698) and z.
48
Suppose -7*l - l - 408 = 0. Let m = l - 16. Let q = 70 + m. What is the smallest common multiple of q and 11?
33
Let g = 326 + -324. Let i = -18 + 19. Calculate the lowest common multiple of 3/3 - -53 - i and g.
106
Let s(x) = -x**2 - 22*x + 29. Let z be s(-23). Suppose -5*d + 245 = 5*n, z*d + 2*n = 7*d - 64. What is the smallest common multiple of d and 18?
54
Let v(l) = 20*l**2 - 12*l - 51. Let j be v(-3). Let d = j + -129. Calculate the smallest common multiple of d and 4.
36
Let j(n) = -6*n**2 + 404*n + 66. Calculate the smallest common multiple of 81 and j(66).
1782
Let m be 63970/504 - (-4)/16. Let o be (-20432)/168 + (-4)/6. Let g = m + o. What is the common denominator of 29/5 and g?
45
Let q = -2 - -2. Suppose 2*y + 27 - 7 = q. Calculate the lowest common multiple of 3 and -18*1*y/20.
9
Find the common denominator of 171/480*55/396 and -65/16.
384
Calculate the common denominator of -85/1722 and (-117)/(-156) + (-13134)/14760.
8610
Let j = 55237 + -883335/16. Let d = -221/8 + j. Calculate the common denominator of -41/18 and d.
144
Let b = 4235/92 - 971983/21252. Calculate the common denominator of b and 71/56.
1848
Suppose 14*s = 0, 2*r + 69 = 11*r - 8*r - 4*s. Calculate the lowest common multiple of r and 27.
621
Let s = 52226 - 20524831/393. Find the common denominator of -5/3 and s.
393
Let i = -19 - -43. Suppose 8*u + 6 = 6. Calculate the lowest common multiple of i and 2 - (-28 + u + -3).
264
Let i = -14 + 17. Suppose j - u = 29, j - 2*u - 124 = -i*j. Let p = 53 - j. Calculate the least common multiple of 14 and p.
140
Let b(h) = 127*h + 533. What is the smallest common multiple of 18 and b(-2)?
558
Let t be (-50)/12 - 51/(-306). Calculate the common denominator of 10/(-55) + t/(-1584)*3273 and -1/9.
36
Let j = 236309/2562 + -2970/61. Let u = -208/7 + j. What is the common denominator of u and -49/93?
186
Let r = 4/4117389 + -312760985933/107052114. Let q = r - -2922. Let k = 4/297 + 1453/2376. What is the common denominator of q and k?
104
Let i(o) = -3 + 0 - 3*o + 2*o. Calculate the least common multiple of 16 - (-5)/(-25)*25 and i(-4).
11
Let u be (-14711)/(-987) + 4/42. Calculate the common denominator of 5/u + 3 + 1099/42 and 55/171.
342
Calculate the common denominator of -56/117 and -2 + ((-10732)/(-9072) - (-7)/(-63) - -1).
29484
Let l be 62/22 - 18/(-99). Let u be ((-3)/(-6))/((-1)/(-2)). Suppose 0 = -2*v - 3*x - u - 5, 7 = -l*v - 4*x. Calculate the smallest common multiple of v and 36.
36
Let d = 272 + -91. Let f be d/3 + 8/12. Calculate the smallest common multiple of 3 and f/3 - 3/((-18)/4).
21
Find the common denominator of 258/40 - 5 - 4 and (-2)/(44/(-61))*(-2)/4.
220
Let m(d) = 8*d**2 - 13 + 0*d**2 - d**2 - d**3 - 18*d**2 + 28*d. Let l be m(-13). Calculate the common denominator of 47/2 and 1/(-4)*l/6 + 4.
8
Let o(x) be the third derivative of -22*x**2 - 5/6*x**4 + 0 + 2/3*x**3 + 0*x. Calculate the smallest common multiple of 2 and o(-7).
144
Let q be (1/(-2))/((-2)/(-12092)). Let l = q - -18031/6. Find the common denominator of l and -77/2.
6
Suppose 57*w = 4*w + 1643. Suppose -4*s + 567 = 3*j, -j = -s + 116 + w. Let h(c) = c**2 + 2*c - 7. Calculate the least common multiple of s and h(-5).
144
Suppose -5*x = -147 - 3. Calculate the smallest common multiple of x and (66/(-10))/(3/(-15)).
330
Find the common denominator of 1 + (-2979)/(-992) + -11 + 20 + -13 and 59/320.
9920
Suppose -5*x + 3*k + 5606 = 6*k, 2*x = -k + 2242. Find the common denominator of (7*15/x)/((-3)/154) and -79/200.
400
Suppose 4*m - g - 5184 = 0, -2*g - 1226 = -2*m + 1366. Suppose 22*o = -5*o + m. Calculate the lowest common multiple of o and 18.
144
Find the common denominator of 3/856 and 3468/11984 - (-1)/(-4).
5992
Suppose -134*k + 145 = 15*k - 4*k. Calculate the lowest common multiple of k and 3458.
3458
Let z = -210 + 212. Suppose -z*p = -m, -2*p - 2*m + 16 - 4 = 0. Calculate the smallest common multiple of p and 33.
66
Suppose -7519 = -3*a - 2848. Let i = -30871/6 + 5123. What is the common denominator of -3 - (3/(-12) + a/108) and i?
6
Let x = -835 + 13387/16. Let k = 25/28 - 859/980. Let v = k + -1649/1960. What is the common denominator of x and v?
80
Let s(u) = 106*u - 1254. What is the lowest common multiple of s(12) and 10?
90
Let w(o) = -5*o**2 + o - 1. Let d be w(-2). Let p = d + 19. Find the common denominator of 8/5 and p/60*1995/(-6).
30
Let u(c) = -c + 1. Let m be u(8). Let k be ((-1)/(-4))/(3*m/(-3612)). Let r = k + -25. What is the smallest common multiple of 6 and r?
18
What is the common denominator of 22/975 and (314/(-16328))/(-45*(-3)/888)?
2925
Let z = -719/42 - -653/56. Let u = 13127/20 + -657. What is the common denominator of u and z?
120
Let j = -42695/22 - -1938. Let d = 98 + -605/6. Calculate the common denominator of j and d.
66
Suppose 8*u - 22569 = 5*u - q, -4*u = 3*q - 30092. Let m = -240775/32 + u. Let w = 27627/2195 - -6/439. What is the common denominator of m and w?
160
Suppose 8742*q = 8743*q - 460. What is the least common multiple of q and 250?
11500
Let a = -12080 + 12120. Calculate the least common multiple of 3700 and a.
7400
Let a be ((105/80)/(-21))/(99/8764108). Let n = a - -49805/9. Calculate the common denominator of 71/2 and n.
132
Let i(a) = a**2 - 8*a - 3. Let j be i(0). Find the common denominator of (-717)/(-198) - 2/3 and j + (-2)/(-3)