708 and -11 + (-11167)/(-1008) + 39/91.
8496
Let b(a) = 11*a - 39. Let r be b(5). Let k be 0*8/r*(-2)/(-3). Suppose 2*y + k*m = -3*m + 35, 2*y = -5*m + 37. Calculate the lowest common multiple of 46 and y.
368
Let b = 85 + 212. Let k = b - 185. Let i = -6 - -14. What is the least common multiple of i and k?
112
Suppose 0 = i - 5*i, -5*h = -3*i - 85. Suppose -25*m = 363 - 413. Calculate the lowest common multiple of m and h.
34
Let a = -31267 + 2751535/88. Find the common denominator of -76/33 and a.
264
Suppose 136 + 0 = q + 2*m, 3*m = 11*q - 1546. Calculate the least common multiple of 574 and q.
5740
Suppose 0 = 8*c - 110 - 386. Calculate the smallest common multiple of 12 and c.
372
Suppose 0 = 5*z - 4*d + 8, 2*z - 5*d = 5*z - 10. Suppose 5*h - 4*f = 108, 282*h - 38 = 280*h - f. What is the common denominator of h and (5 + z)/(4/(-22))?
2
Let g(m) = m - 3. Let y be (-4)/10 - (-27)/5. Calculate the lowest common multiple of 79 and g(y).
158
Calculate the common denominator of 2/22*(-140)/(-56) and ((-3)/(-18))/(12/801).
88
Suppose -4*m - 4*p = 136, -5*p - 4 - 11 = 0. Let i = -13 - m. What is the least common multiple of i and 4?
36
Let s(o) = 53*o**2 + 1. Suppose 44*i = -537 + 713. Calculate the least common multiple of s(-1) and i.
108
Suppose -41*i - 238 = -39*i. Find the common denominator of 29/30 and 30/27*(i/(-12))/17.
270
Calculate the common denominator of (-7*(-7)/(-2))/(7/((-168)/(-9972))) and -31/15.
4155
Let d = 4351/3060 + 179/85. Find the common denominator of d and 151/1152.
1152
Let a(d) = -4*d - 22. Let j = 324 + -332. Calculate the smallest common multiple of 13 and a(j).
130
Let b be 2 - 76/14 - 0. Let c = -519/14 + b. What is the common denominator of 69/14 and c?
14
Let p = 889600990 - 8438755000105/9486. Let y = -1/1581 - p. Calculate the common denominator of y and -187/90.
90
Suppose -2*i - 2*o = -3920, 1916 + 3964 = 3*i - o. What is the smallest common multiple of i and 2695?
21560
Let k = 46 - 16. Suppose 12*j - 16*j + 192 = 0. What is the least common multiple of k and -4*6/j + (-135)/(-6)?
330
Suppose -g = -3*x + 17, -4*x - 22 = g - 47. Calculate the common denominator of -101/20 and ((-50)/x)/((-210)/(-54) + 9).
580
Let z be -113 + (46/(-16) - 1/8). Let k = 97 + z. Find the common denominator of 19/58 and k.
58
Let i = -134/7 + 851/28. Find the common denominator of -3 + (-46)/(-14) + (-22)/(-33880)*2325 and i.
44
Suppose -h + 6*h = 3300. Calculate the common denominator of (3/(-6))/(10/h) and (-18)/(-52) + 2/13.
2
Suppose 0*l - 4*l = 3*m + 348, 0 = -5*m - 3*l - 591. Find the common denominator of (-3)/(-14)*35259/3726 and -1 + -1 + (-186)/m.
180
Suppose 10 = -2*r - 0*r. Let p be ((-28)/r)/(4/(-3120)*-4). What is the common denominator of -19/10 and 84/(-39) + 2 - (-2300)/p?
210
Let f be (-1)/((-3)/810*3). Calculate the common denominator of -3/26 and 4*(-3)/30 - 139/f.
234
Suppose -5*o = 5*z + 615, -3*z - 606 = 2*z - 4*o. Calculate the common denominator of (-60)/(-24) + 343/z and -15/4.
244
Suppose -15*t = -14*t - 1. Suppose -y - 3*x + t = -7, 0 = -4*y + 5*x + 32. Find the common denominator of -1 and 84/(-11)*(-2)/y.
11
Let m = -8070 + 8740. What is the lowest common multiple of 4 and m?
1340
Let d(i) be the first derivative of 2*i**3/3 - 9*i**2/2 - 87*i - 194. Calculate the least common multiple of (-6)/((1 - -1)/(-2)) and d(-5).
24
Let m = -58 - -75. What is the common denominator of (-3)/(-9) - m/(-5) and 41/25?
75
Let s(t) = 17*t**2 + t + 4. Suppose 20 = 31*h - 11*h. Let j = -76 - -116. What is the least common multiple of j and s(h)?
440
Let u be (24*33/44)/((-186)/(-4)). Let p = 613/62 - u. Calculate the common denominator of p and -137/48.
48
Suppose -a + 3*q = -55, -2*q - 10 - 49 = -a. Let t = 67 - a. Suppose -3*o - 8 + 26 = t. Calculate the lowest common multiple of o and 11.
66
Let d be ((-57)/(-2318))/((-412)/56). Let g = 1064473/791658 + d. What is the common denominator of 83/21 and g?
126
Suppose -20*x + 8*x - 16*l = -17*x + 398, 0 = -5*l - 40. Calculate the smallest common multiple of (-6)/(-9) + (-124)/(-3) and x.
378
What is the lowest common multiple of 3 - (2 + -4441) - (14 - 6) and 66?
48774
Suppose 526*u - 30 = 525*u. Calculate the lowest common multiple of 30 and -10*(-1 + 2 - 54/u).
120
Suppose -83*d + 2*g = -85*d + 122, 5*d + 4*g = 304. What is the smallest common multiple of d and 20?
60
Let g = 76426 - 8024624/105. Let c = -31496/3 - -10484. Calculate the common denominator of c and g.
105
Let t be (-130)/387 - (4/18 + 0). Let r = t - 5317/258. Find the common denominator of 35/59 and r.
354
Suppose 0 = 30*b + 35 - 725. Let r = 5 + -8. Let o = r + b. What is the smallest common multiple of 2 and o?
20
Suppose -9 = -u - 3. Let a = -27426 - -27435. Calculate the smallest common multiple of a and 112/6 + (-4)/u.
18
Suppose 0 = -3*b + 2*i + 254, -634*i = 5*b - 635*i - 407. What is the least common multiple of 620 and b?
2480
Let w(q) = -1107*q + 15. Let p be w(7). Let c = -77247/10 - p. Calculate the common denominator of -1/4 and c.
20
Let a = 112716 - 703247/6. Let n = a + 4481. Let z = -4/32513 + -162541/195078. Find the common denominator of n and z.
6
Let w(d) = -196*d**2 - d + 4. Let q be w(4). Let b be (-1556)/q + 1/(-2). Let i = -40385/2352 - b. Calculate the common denominator of i and 55/9.
18
Let a = -1924 - -1972. Let o(p) = -p**3 + 28*p**2 + 33*p - 72. Calculate the least common multiple of a and o(29).
528
Let i be (646/4)/(1 + (-20)/35). Let o(q) = q**3 - 4*q**2 - 3*q + 4. Let h be o(9). Let v = h - i. What is the common denominator of v and 64/9?
18
Let y = 8378 - 4442. Let d be ((-166229)/(-49))/((-6)/(-7)). Let k = y - d. What is the common denominator of k and -11/12?
12
What is the smallest common multiple of 73 - 81 - (3 - 2)*-5246 and 8?
20952
Let z = -1625/696 + -19/232. What is the common denominator of 7/432 and z?
432
Calculate the common denominator of (-18484)/20664 + 19/38 + 12/27 and -13/1353.
9471
Calculate the common denominator of -29/9 and -137*48/(-12978) + (-52)/91.
927
Let p(y) = -y**3 - 13*y**2 + 12*y + 57. Let o be p(18). Let w = o - -156387/16. Find the common denominator of w and -53/44.
176
Suppose -3*w + 498 = -4*t, -974 + 346 = 5*t - w. Find the common denominator of 1/18*3 + (-753)/t and -149/6.
42
Let k(v) = -v**2 - 6*v - 3. Let y be k(-2). Let l be 5/(y/3)*2/3. Suppose -p + 0*p = g - 12, p + l = 0. What is the least common multiple of 28 and g?
28
Calculate the least common multiple of 300 and ((51 + -49)/(10/16))/(1/175).
8400
Let o = 3648905 + -28563628395/7828. Find the common denominator of o and 21/40.
78280
Let p(o) = o**3 - 8*o**2 + 7*o - 1. Let s be p(7). Find the common denominator of 3 - ((-32)/(-26) - (-37 + 36)) and (-136)/10*s/(-2).
65
What is the lowest common multiple of 14833/78 - -7 - 45/(-54) and 1256?
124344
Suppose 0 = -3*s - 4*y + 5, 46*y - 41*y + 34 = 2*s. What is the smallest common multiple of 39 and -1*(4095/(-9))/s?
195
Suppose -3*v - 3 = -6*v. Let u = 178848 - 4292401/24. What is the common denominator of (2/24)/(v/274) and u?
24
Let s = -18568 - -18598. Let x(l) = 2*l**2 + 3*l - 3. Let v(c) = c**2 - 3*c + 3. Let i be v(3). What is the lowest common multiple of s and x(i)?
120
Let o = 61011/10 - 6109. Let c = -1119083/30 + 37299. What is the common denominator of c and o?
30
Let m = 52 + -299/6. Let q = -1221 - -701. Let j = 486 + q. What is the common denominator of j and m?
6
Let c(r) = 2*r**2 - 3*r - 12. Let a be c(3). Calculate the lowest common multiple of 4 and (-26)/a + (-16)/(-12).
20
Let f = 9437 + -9035. What is the lowest common multiple of f and 168?
11256
Let t = -8 + 12. Let f be (22/33)/(t/(-906)). Let u = -146 - f. Calculate the lowest common multiple of u and 30.
30
Calculate the smallest common multiple of 102 and 5/(-1) + 16 + 97.
1836
Let a(f) = f**2 - f + 2. What is the smallest common multiple of a(4) and 12*(-17)/((-68)/(-3)) - (-62)/2?
154
Let b = 1995246 + -9860505779/4942. Calculate the common denominator of -111/10 and b.
24710
Suppose -83*m = 3*n - 81*m - 3, 5*n = -m + 5. Calculate the lowest common multiple of 327 and n.
327
Calculate the common denominator of 5688/(-288)*(-1)/(-824) and 59/1648.
3296
Suppose 47*j + 804 = 35*j. Find the common denominator of (-17)/(136/(-16)) + j/12