t**2 - t + 4. What is the least common multiple of k(4) and 4/(-5)*(-15 + 5)?
80
Suppose 4*d - 7 = 1. Let o be d/3*(0 + -176 + 5). What is the common denominator of o/45*(10/(-4) - -3) and -7/18?
90
Suppose 17*x = -47 + 166. Let d(k) = k**2 + 5*k - 24. What is the least common multiple of d(x) and 18?
180
Let z(l) = 350*l + 5788. Calculate the lowest common multiple of z(-16) and 132.
6204
Suppose -3*u + 4*q = -q + 23, 3*u - 2*q + 20 = 0. Let j = -38459/2010 - 11/335. Find the common denominator of j and (-2)/(-36) - (6 + u).
18
Let r = 116180/147 - 2369/3. Calculate the common denominator of -43/231 and r.
1617
Suppose -1901 - 367 = -18*f. What is the least common multiple of 252 and f?
252
Let w = 13271/7752 - 575/408. What is the common denominator of w and ((-1)/(-32))/(1/(-198))?
304
Suppose -7*r + 41 = -1. What is the common denominator of 82/20 + -3 + r and 79/12?
60
Suppose 3*w - 2*w - 2*z + 5 = 0, w - 30 = -5*z. Suppose 5*a + 2*n - 252 = 3*a, 20 = w*n. Calculate the smallest common multiple of 10 and a.
610
Let w = -32664 + 3135829/96. What is the common denominator of 12/8*6/(-10) and w?
480
Let l = -508 - -721. Calculate the common denominator of -7/5 and (-23)/(-4)*(-284)/l.
15
Let t(p) = 135*p + 2. Let m be t(2). Find the common denominator of (-6)/(-15) - m/105 and 40/66*(-16)/5.
231
Suppose 0 = -33*u - 10405 + 10801. Calculate the lowest common multiple of u and 7426.
44556
Let w = -8/105947 + -7724659/125441248. Find the common denominator of w and 5/44.
13024
Suppose 128 = -4*r - 0. Let a(n) = -30*n + 13 + 0*n + 0 + 0 - n**2 + 2. What is the common denominator of 31/6 and a(r)?
6
Suppose -53*g + 1459 = 23*g - 2189. What is the smallest common multiple of g and 1584?
1584
Let t = 10568444/13 + -5664686839/6968. Let n = t + 93586305/13936. Let x = -6720 + n. What is the common denominator of x and 11/16?
16
Let c = 391 - 839. Let t = c + 466. What is the lowest common multiple of t and 21?
126
Let m = 55826 - 89699. Let r = -1016051/30 - m. Find the common denominator of r and 31/42.
210
Let t = -39011091906000 + 90336269038676903699/2315656. Let s = t - -3/41351. Calculate the common denominator of s and -32/49.
392
Let z = 329633966/23 + -14335051. Let c = -3138 - z. Calculate the common denominator of c and 385/66*34/14.
138
Suppose 0 = -t + 5*p + 8, 12*t - 7*t = -5*p - 20. Calculate the common denominator of 105/22 - 2/4 and (5 - 103/22)*(t + -12).
11
Let a = 4126 - 3901. Calculate the least common multiple of 1125 and a.
1125
Let m be (2 - 868)*((-3)/2 + 2). Let q = m - -453. Calculate the lowest common multiple of 44 and q.
220
Suppose -53*g = -49*g - 60. What is the common denominator of 32 and g/(-134)*(-2)/9*21?
67
Let n = 85565/49662 - 2/2759. Calculate the common denominator of n and -113/912.
2736
Let g(h) = -4937*h. Let i be g(-1). Let w = i + -78913/16. Let m = -11763323/12099492 - 2/336097. Calculate the common denominator of w and m.
144
Let m = -262585/1375806 + -75/2143. Find the common denominator of -51/749 and m.
4494
Suppose -p = -4*p + 3. Let z be 1*(p - (1 + 0)). Let k(u) = -u**3 - u**2 - u + 11. Calculate the lowest common multiple of 9 and k(z).
99
Suppose t - 94 = -4*v, -44*v + 5*t = -41*v - 82. Calculate the least common multiple of (14/4)/(4/v) and 77.
231
Find the common denominator of 73/56 and (-206)/(-672) - ((-38)/2)/152.
336
Let k = -8 - -5. Calculate the lowest common multiple of (k - (312/20)/(-6))*-45 and 48.
144
What is the common denominator of (-2134)/792*12/(-16) and -21/88?
528
Let k be (3/6)/(137/34 - 4). Let l = 1 + k. Calculate the lowest common multiple of 21 and l.
126
Let x = 973 - 173189/178. Let s = -9943/890 - x. Find the common denominator of ((-74)/10)/((-4)/(-2)) and s.
10
Let v = -10111 + 283195/28. What is the common denominator of v and 3*((-77)/48)/1?
112
Suppose 1101 + 2759 = -10*w. Let m = 391 + w. Calculate the lowest common multiple of m and 10.
10
Calculate the common denominator of (-36)/(-2504)*((-1612)/192)/13 and -28/11.
110176
Let b be (95/114)/(2/48*2). Suppose 2*k + b - 130 = 0. What is the smallest common multiple of k and 16?
240
Let i = -2415 - 3190. Calculate the common denominator of i/(-950)*-2*1 and 23/35.
35
Let m be -3*5/(90/(-96)). Calculate the common denominator of 69/4 and (-4)/m + 57/(-184).
184
Let k(y) = 4*y**2 + 48*y - 1. Let c be k(-11). Let w be (5 + c/10)*0. Let n = w + 9. Calculate the smallest common multiple of n and 26.
234
Let v = 2 - -2. Let m be (-9536)/(-1184) - 2/37. Suppose v = -4*a + m. What is the common denominator of a and -75/8?
8
Find the common denominator of (-2067)/(-891) - (9/(-33))/1 and 49/72.
216
Let l = -170691 + 6655507/39. Let h = l + 238/13. Calculate the common denominator of h and 41/10.
30
Suppose 13*s - 7*s = -54. Let o be 1 + (3 - s)/3. Calculate the common denominator of 119/6 and ((-54)/o - -3)/(-3).
30
Suppose 2*m - 8*m + 60 = 0. Suppose 8*c + 878 = 4*c - d, -4 = -2*d. Let h = -213 - c. Calculate the smallest common multiple of h and m.
70
Calculate the common denominator of -37/6039 and (-84)/154 - 873/594.
12078
Let p be (1 - 5/2) + 116/8. Suppose 4*u = 2*b - 16, -u - p = -b - 4*b. Let s(z) = -z**2 - 7*z + 10. Calculate the least common multiple of s(-7) and b.
10
Suppose 132*l - 131*l = 5*a, -2*l + 4*a = -18. What is the least common multiple of l and 2/(-5)*15/(-3)?
30
Let f be 24/(-6) - (-412214)/24. Let v = f - 17184. Calculate the common denominator of v and -93/32.
96
Suppose 6 + 14 = 10*t. Suppose -2*a = 44 - 50. Suppose -10 = -2*p, a*p = t*y + p - 62. Calculate the lowest common multiple of y and 33.
396
Suppose 49*z - 30*z - 342 = 0. Calculate the least common multiple of 186 and z.
558
Suppose 33*a - 26*a = 2125 + 2607. What is the smallest common multiple of 16 and a?
2704
Let t = -16583 + 497363/30. Let w = -5 - -10. Find the common denominator of t and w/15 + 213/(-81).
270
Suppose q + 17498 = 6*z - 15387, 5*z - 27380 = -4*q. Calculate the smallest common multiple of z and 2192.
10960
Let f = -55 - -1. Let n = f + 64. Suppose -13*a = -15*a + n. What is the least common multiple of 6 and a?
30
Let y(z) = -1881*z**2 + 3781*z**2 + 76*z - 7 - 1878*z**2 - z**3. What is the lowest common multiple of 66 and y(25)?
198
Let y(x) = -2*x**2 + 26*x + 24. Let a be y(14). Let t(c) = 3*c - 19. Let v be t(a). Calculate the common denominator of (-5)/(-20)*v/(-7)*2 and -83/18.
126
Let v = -2987/20094 + -7/36839. What is the common denominator of v and 115/4114?
12342
Suppose -953 = 5*n + 3247. Find the common denominator of 434/n - 6/(-10) and 127/6.
12
Calculate the common denominator of 81/2 and ((-12)/(-570))/(-3 + 1311/465).
266
Let p be 23285/(-39) - (-24)/36. Let h = 597 + p. What is the common denominator of -29/13 and h?
13
Let s = -1230/17 - -30291/425. What is the common denominator of -25/13 and s?
325
Let x be 3206/(-4921) - (-4)/(-38). Let a = -3129/370 - x. Find the common denominator of a and 77/8.
40
Suppose -1504 = -2*v + 2*g, -5*v - 5*g + 3647 + 93 = 0. What is the least common multiple of 875 and v?
5250
What is the lowest common multiple of 8 and (-4)/86 + (-473430)/(-1849)?
256
Calculate the common denominator of (-167)/22 + (-61 - -71) and -53/22.
22
Let h be 28/(-3)*(-12)/8. Suppose i - 2 = h. Let k(y) = 6*y + 52. What is the lowest common multiple of i and k(-8)?
16
Let t(o) = -270*o + 5. Suppose 6 = -5*y - 4*g, -3*g = -3*y - g - 8. Let k be t(y). Let b = k - 12029/22. Calculate the common denominator of -11/28 and b.
308
Let o = 555847/38579320 + 3/17576. Find the common denominator of 49/5 and o.
2195
Let r = -971 + 72778/75. Find the common denominator of r and 173/90.
450
Let g = 430394/13 + -33088. Let r = g + -4811/286. Calculate the common denominator of (-15 - -18) + -5 + (-166)/(-12) and r.
66
Let p = 52073/6 - 8667. What is the common denominator of p and -67/537?
1074
Find the common denominator of -2/65 and 1/(125/(-10)) - (4 - 511296/125700).
27235
Suppose 0 = 5*a + 5*h + 5, -4*a - 44 = -2*h - 2*h. What is the common denominator of 218/25*20/64*-4 and (-1)/(-4) - a/42?
140
Let y = 68231459/657 + -103853. Find the common denominator of y and 67/438.
1314
Let d = -36 + -127. Calculate the common denominator of (3 - (-75)/6)/16 and 2 - 25/15 - d/(-12).
32
Let c be 482/