common multiple of (0 + 972/(-16))/(-1 + (-40)/(-64)) and 108?
324
Let y(x) = x**3 + 16*x**2 - 16*x + 19. Let j be y(-17). Suppose 0 = -j*c - 2*a + 44, -12*c + 8*c = 5*a - 88. What is the lowest common multiple of 32 and c?
352
Suppose -4175 + 1584 = -38*z + 1855. Calculate the least common multiple of z and 1053.
1053
What is the common denominator of -30/1793 and (1/((-17604)/8))/((-8)/(-456))?
16137
Let v = 6 - -110. Find the common denominator of (v/(-18) - -3)*(-15)/20 and 119/40.
120
Suppose -9 = -t + 3*k, -3*k = -5*t + 61 - 16. Let a be (-69)/63 - (6 - t). Let q = a - 451/42. Calculate the common denominator of 13/6 and q.
6
What is the common denominator of (-12)/(-14)*(-1 - -8) + (-123605)/20178 and -89/38?
342
Let y(z) = 5*z + 20 + 0*z - 11*z + 2*z**2. Calculate the smallest common multiple of y(6) and 21.
168
Let v = 14 + -50. Let t be ((-2436)/105)/((-2)/(-5)). Let c = v - t. What is the lowest common multiple of c and 52?
572
Let s be -2513*(28/(-154) + (-163258)/(-888360)). Let l = 2/10095 - s. What is the common denominator of l and (-1)/6 + (-1495)/(-60)?
12
Let a = -927/8 - -8563/72. What is the common denominator of 7/1920 and a?
5760
Suppose 4*k + 12 + 20 = 3*r, 3*k + 33 = 3*r. Let p(b) = 35*b - 212. What is the lowest common multiple of p(14) and r?
1668
Let p(v) = 13*v**2 + 231*v - 58. Calculate the lowest common multiple of p(-21) and 618.
2472
Suppose 5*t - 12 = t. Suppose 0 = -4*j - r - 647, -j + 64 = -t*r + 229. What is the common denominator of (-9)/(j/12) - (-166)/(-12) and -2/5?
30
Suppose 3*b + 159 = 5*x, x + 3*x - 114 = -2*b. What is the smallest common multiple of 152 and x?
2280
Let g = -1931 - -102336/53. What is the common denominator of ((-9)/(-33))/(-2 - (-38)/18) and g?
583
Let k(c) = 7*c**2 - 7*c - 3. Let d be k(-5). Suppose 8*o = 33 + d. Calculate the least common multiple of o and 3.
30
Let k(r) = -2*r - 24. Let d(t) = -t**3 + 18*t**2 - 15*t - 37. Let l be d(17). Find the common denominator of -31/6 and k(l).
6
Calculate the lowest common multiple of (-2288)/(-156)*((-3)/3 + 31) and 280.
3080
Let x = 5946 + -5886. What is the least common multiple of 48 and x?
240
Let d(x) = -4 - 6 + 2 - x. Let n(a) = 4*a**3 - 5*a**2 + a + 5. Calculate the smallest common multiple of d(-14) and n(1).
30
Suppose -3*u + 142 + 46 = 4*m, -3*m + 5*u + 112 = 0. What is the lowest common multiple of 28 and m?
308
Suppose -16 = -2*a + 6. Calculate the smallest common multiple of a and (-75)/(-12)*48/20*(-2)/(-6).
55
Calculate the lowest common multiple of (-5 - 58)*(-1)/(4/(56/1)) and 72.
3528
Calculate the common denominator of 9878/7520 + 16*154/(-1760) and 23/188.
752
Let o(u) = -u**3 + 17*u**2 - 18*u + 37. Let f be o(16). Suppose -f*w = -6*w + 12. Calculate the lowest common multiple of 126 and w.
252
Let v = -769 - -489. Let g = -98 - v. Suppose 0 = -3*k + 5*q + 16, -8 = -7*k + 5*k + 4*q. What is the least common multiple of k and g?
1092
What is the common denominator of 44/915 and ((-1113)/280 + 4)*(-1764)/(-27)?
1830
Suppose -20 = -3*c - 2*c. Find the common denominator of 74/(-10)*(490/(-42))/(-35) and c/(-10) - 507/45.
15
Let u = 29119 + -28482. Calculate the smallest common multiple of 78 and u.
3822
Let p = 3947 + -82942/21. What is the common denominator of -9/62 and p?
1302
Suppose -2*o = 2*r + 2*r - 2, -5 = -r - 5*o. Suppose z + 6 = -r*z. What is the common denominator of (102/20)/(z + 3) and -16?
10
Let o be (-4)/(-4) - (-4 + 1). Suppose 0 = -z + 5*r + 48, z - 12*r = 74 + 30. What is the least common multiple of z and (2/(-5))/(o/(-10))?
8
Let t = -245/2 - -2521/20. Calculate the common denominator of t and (-74 + -1)*(-1)/(-32).
160
Let m be 96 + (-4 - (-12)/4). Let t = m + -93. Let r = 24 + t. Calculate the smallest common multiple of 4 and r.
52
What is the least common multiple of 1/(3/(-12))*(10 + (-120)/10) and 388?
776
Let t = -44 - -80. Suppose -3*z + 35 = 5*o + 6, -5*z + 35 = 5*o. What is the lowest common multiple of t and o/(3/4*(-16)/(-42))?
252
Suppose 2*g = 5*a + 18, 5*g + a = -0*a + 72. Suppose -70 = -w - 2*i + g, 3*w - i = 217. Suppose 2*z = z + w. Calculate the smallest common multiple of z and 20.
740
Let q(a) = a**2 - 42*a - 910. What is the least common multiple of q(-16) and 9360?
9360
Let i = 20 - 24. Let r be ((-9)/(-18))/((2/(-1))/i). Calculate the common denominator of -51/16 and r - (1 + 1) - (-189)/(-234).
208
Let r(w) = -215*w - 865. Calculate the lowest common multiple of r(-7) and 480.
1920
Suppose -4*f - 53 = -53. Suppose f = d + 67 - 77. Calculate the smallest common multiple of 34 and d.
170
Suppose -7*l = -2 - 19. Suppose 4*k - 76 = -l*s + 2*k, s - 26 = -k. What is the common denominator of 51/10 and (70/s)/(2/6)?
20
Calculate the common denominator of 77/1968 and -294 + 291 - (-118)/(-6).
1968
Let f(w) = 2*w**2 + 6*w. Let i = 166 - 171. Suppose 0 = -4*v - 20 + 324. What is the least common multiple of v and f(i)?
380
Let c be (-2096)/(-18)*128/40. Let n = -1832/5 + c. Calculate the common denominator of 19/11 and n.
99
Let p = -135/23996 - 1293959089/215964. Let y = p + 5798. Let m = y + 70193/360. What is the common denominator of m and -43/10?
40
Let m(i) = 4*i - 34. Suppose -5*k + 1270 = 315. Calculate the lowest common multiple of m(10) and k/9 - (-4)/(-18).
42
Let l be 5186/3 + 1/3. Let f be (-1)/(-2) + l/(-3450). Let v = 7487/10350 + f. What is the common denominator of -77/4 and v?
36
Let a = -67 - -63. Let u be (0/a - 1762/(-8))*28. Let c = u - 123287/20. Find the common denominator of -99/14 and c.
140
Suppose -14*m - 2299 = -7983. Let k = m + -362. Calculate the lowest common multiple of (-195)/(-12) + (-2)/8 and k.
176
Calculate the common denominator of 9/(-198)*-8 - 23955/80850 and -41/420.
2940
Let r(y) = -19*y - 370. Calculate the least common multiple of 106 and r(-24).
4558
Let f be (-97167)/7 + 6 - 5. Let u = 27/190 + -1251/380. Find the common denominator of u and f/3600 - (-4)/18.
60
Find the common denominator of (2/2)/(-2 + 224/156) and (-930)/(-8)*(-2)/(-5).
22
Suppose -5*j + 0*r - 28 = -4*r, 14 = -2*j + 3*r. Suppose -6 + 9 = f. Calculate the least common multiple of 6 + j*3/6 and f.
12
Calculate the least common multiple of 156 and (11 - -1) + -7 + 3*20.
780
Let c = -75 - -77. Let r(s) = 0*s**c - 2*s**2 + s**2 + s**3 + 9*s - 5*s. Calculate the lowest common multiple of 3 and r(3).
30
Let x(q) = q**2 - 6*q. Let s be x(7). Let h(i) = i**2 - 28*i + 188. Let f be h(9). Let w = s + f. What is the smallest common multiple of 3 and w?
24
Let f(h) = -2*h + 32. Let m be f(19). Let z be (-5)/(64/m*-12). Let g = 259/128 - z. What is the common denominator of g and 19/20?
80
Suppose s - 6 = -s. Suppose -s*d + 5*b = 2*d - 75, -4*b - 45 = -3*d. What is the least common multiple of 21805/805 + (-2)/23 + -6 and d?
105
Let q = -14 + 33. Let z = q - 17. Let d(o) = 19*o**2 + 2. Calculate the least common multiple of 6 and d(z).
78
Calculate the common denominator of 117/20 and ((-14)/(-7400))/(10/(-40))*1.
3700
Let s = 2207495/702 - 41316/13. Let h = s + -52/27. What is the common denominator of (-1406)/(-224) + -3 + 16/56 and h?
16
Let y = 149 + -154. Calculate the common denominator of 79/18 and (-4)/(-10) - y*(-67)/150.
18
Let r = 41674087/694 + -60049. Find the common denominator of 13/4164 and r.
4164
Suppose 10*g - 208 = -28. What is the smallest common multiple of 1755 and g?
3510
Suppose 79*x + 4 = 80*x. Suppose -u = 3*y - 12, 9*u - 4*u = -x*y + 38. Calculate the lowest common multiple of 36 and u.
36
Suppose 63*j - 3752 = 8020 - 1692. Calculate the least common multiple of 72 and j.
1440
Let w be -12*2/(-4)*6/4. Suppose -2*y + w*y = 28. Calculate the smallest common multiple of 4 and ((y - 3)*-1)/((-3)/15).
20
Let o(w) = -3*w**2 + 30*w - 13. Let s(k) = 2*k - 15. Let n be s(10). Suppose 0 = n*d - 23 - 27. What is the least common multiple of d and o(9)?
70
Suppose -5 + 13 = f. What is the smallest common multiple of f and 796/50 + (-200)/(-2500)?
16
Let w = -235995/65714 + 1/2987. Suppose 3*z - 16092 = -5*f, f - 6*f = -3*z + 16092. Let n = -32263/6 + z. Calculate the common denominator of n and w.
66
Let u = -509811/22 - -23172. Let i be 54/((-3)/(-2) - 0). Find the common denominator of (-15)/i*(-6)/(-4) and u.
88
Let g(n) = -6*n**2 + 4*n - 8. Suppose -2*v + 2