?
2982
Let h = -58 - -106. Let n = -41 + h. Suppose -4*y + 7 = -17. What is the lowest common multiple of y and n?
42
Suppose 3*f - 6*f + 5*z + 505 = 0, z - 493 = -3*f. Let i be 309/f + (5 - 1). Let b = 61/22 - i. Calculate the common denominator of -119/10 and b.
10
Let p = 16 - 14. Suppose k + 0*l + 4*l = 18, -p*l + 20 = k. Calculate the smallest common multiple of 4*3/36*30 and k.
110
Suppose -5*q + 5*x - 90 = -7*q, -3*q - 3*x = -117. Suppose -6 + 21 = 3*t. Find the common denominator of 81/4 and t/q*301/(-6).
12
Let x = 1561/4 + -388. Let t(j) = 25*j**3 - 2*j**2 - 2*j + 2. Let g be t(-5). Let q = g - -31603/10. Find the common denominator of q and x.
20
Let s = 7009/10 - 182163/260. Let n be (-1)/3 + 278/(-120). Let c = s - n. Calculate the common denominator of 13/7 and c.
91
Let t be (-34)/(-8) + 3/(-12). Let q = 2569/66 + -683/11. What is the common denominator of (147/(-12) - 0)*t and q?
6
Let w = -1305 + 1345. Calculate the lowest common multiple of w and 170.
680
Let c(z) = z**3 + 11*z**2 - 21*z + 24. Let p be c(-8). Suppose p = -4*y + 16*y. What is the lowest common multiple of 24 and y?
96
Suppose 445 = 4*x - r, -3*x + 0*r + 345 = 3*r. Suppose -8*z - x = -9*z. Let k = -107 + z. Calculate the smallest common multiple of 9 and k.
45
Let g(x) be the third derivative of x**4/6 - 5*x**3/6 - 50*x**2. Let r be g(9). Calculate the common denominator of -11/39 and (r/12 + -1 + 2)/(-1).
156
What is the common denominator of -37/240 and 12/48*(-1467)/270?
240
What is the common denominator of -53/110 and (-16719)/38610 + (-4)/18 - 44/286?
110
Let z(x) = -5*x + 111. Let q be z(23). What is the smallest common multiple of -2*11*(24/(-4) - q) and 12?
132
Let k(u) = -100*u - 38. Let a be k(-5). Suppose a = 19*y - 8*y. What is the lowest common multiple of 48 and y?
336
Suppose 2*w - 3*h + 3 = 27, w = -h + 2. Calculate the smallest common multiple of w/(-45)*6*-5 and 80.
80
Suppose -5*s = 47*z - 51*z + 25, -3*z + s + 16 = 0. What is the lowest common multiple of 2341 and z?
11705
Let y = -22 + 27. Suppose -129 - 201 = -10*s. Let r = s + -24. What is the lowest common multiple of r and y?
45
Suppose 2*n + 8*l + 11 = 3*l, -2*l + 4 = -2*n. Calculate the common denominator of ((-19)/(-190))/(18/1095) and (4/8)/(n/7).
12
Suppose -6237 = 1656*t - 1677*t. Calculate the least common multiple of 531 and t.
17523
What is the least common multiple of 17076/24 + (-1 - 3/6) and 6?
2130
Let a = -54166 - -54167. Suppose x + v = -0*v + 23, 2*v = -4*x + 100. What is the least common multiple of a and x?
27
Let w(s) = 26*s**2 - 242*s - 14. What is the least common multiple of w(16) and 554?
2770
Suppose 4*y + 3*t - 8152 = 7*t, 0 = 2*y - t - 4079. Let x = y + -3089. Let m = -144629/138 - x. Find the common denominator of 3/14 and m.
966
Suppose a = -k + 652, 656 = -12*k + 13*k + 2*a. What is the least common multiple of k and 176?
14256
Let x = -33858 + 33914. Calculate the lowest common multiple of 4599 and x.
36792
Suppose 1 = s - 1. Suppose s*t = -36 + 48. Find the common denominator of (t/40)/((-28)/(-210)) and -43/18.
72
Suppose 3 = -2*s + 1. Let w be (10 + -14)/(s - 1). Calculate the common denominator of -31/12 and w/6 - 3010/(-924).
132
Let n(c) = c**3 - 27*c**2 - 42*c + 400. Calculate the lowest common multiple of n(28) and 133.
1064
Let a = 2/32137 - 867949/4017125. Let z = 18/401 - -11449/4010. What is the common denominator of z and a?
250
Suppose 0 = -14*a - 3*a + 17. Find the common denominator of 266/30 - a - 36/12 and 23/84.
420
Calculate the smallest common multiple of (5 + (-11)/2)/((-3)/336) and 2736.
19152
Let w(g) = -22 + 7*g + 59 - 26. Calculate the least common multiple of w(0) and 3.
33
What is the common denominator of 0/((-7)/(-1)) - 99/32 and (-2)/(-8) - (-5 + (-140)/32)?
32
Let u = 140311/170 - 1651/2. Find the common denominator of -12/49 and u.
4165
Suppose 10*p = 7*p - 210. Let d = p - -107. Suppose 0 = -s - 15 + d. What is the least common multiple of s and 10?
110
Suppose 7*a - 8*a = -90. Suppose 0 = 5*f - 2*o - a, -o + 27 = 19*f - 17*f. What is the smallest common multiple of 40 and f?
80
Let j be (-3)/(-5) + 2889/135. Suppose -9*w = -13*w + 3*z + 14, j = 4*w + z. What is the smallest common multiple of w and 36?
180
Let i = -12455 - -12533. What is the least common multiple of 1188 and i?
15444
Let q = 81/631 + 763357/45432. Let v = q - 176/9. Find the common denominator of -49/22 and v.
88
Let q(y) = -27*y - 1212. Calculate the smallest common multiple of 258 and q(-46).
1290
Suppose 1424*a = 1428*a + 5*f - 2196, -4*f = -32. Calculate the lowest common multiple of a and 1225.
13475
Let f = 230/7 - 365/14. Find the common denominator of -51/934 and f.
6538
Suppose -s - 5*d = s - 39, -60 = -4*s - 4*d. Let c be 33/(-55) + (-2)/5 + -1. What is the smallest common multiple of s and c/(-5)*(-50)/10*-11?
132
Let o(g) = 28*g - 59. Let w be o(5). Suppose -8*s + w = 33. Calculate the smallest common multiple of 150 and s.
150
Let z(v) = 2*v - 16. Suppose 1 = -3*h + 3*g + 28, -4*h + 36 = -2*g. Let k = -4 + 8. What is the smallest common multiple of k and z(h)?
4
Let a be 7/((-126)/4) - 1540/(-45). Calculate the common denominator of ((-1)/(-6)*1)/((-48)/a) and -37/15.
720
Suppose -66*a + 476 + 316 = 0. What is the lowest common multiple of a and 5616?
5616
Let c = 11597/1008 - 104/9. What is the common denominator of c and 97/84?
336
Let t = 6/4523 + 76627/199012. Find the common denominator of 7/1636 and t.
17996
Let m = 349 + -348. What is the smallest common multiple of -4 - m - (3 + (-37 - -5)) and 48?
48
Let p = 1475563869/1720 - 857886. Find the common denominator of -23/2064 and p.
10320
Suppose -5*h = -5*l - 22845, 229*h - 220*h = 4*l + 41091. What is the smallest common multiple of h and 10?
45630
Find the common denominator of 19397/3346 - (3 + 3) and 61/18.
4302
Suppose -2*x - 42 = -5*x. Suppose 25*j - 20*j = 30. Suppose 0 = y + 4*i + 16, -5*y - j*i = -2*i. What is the least common multiple of x and y?
28
Suppose 4 = 6*s - 4*s. What is the lowest common multiple of (-1)/(-1*s/24) and -4*9/(-12) - (12 - 155)?
876
Let v = 197 + -179. Calculate the least common multiple of 1/4 + ((-26)/8 - -7) and v.
36
Suppose h + 5*t = 43, 40 = 5*h - t - 149. What is the common denominator of ((-43)/140)/(h/(-228)) and 49/20?
140
Suppose 15*i = 6*i + 9. Let q(f) be the third derivative of 17*f**4/12 - f**3/3 + 8*f**2. What is the least common multiple of 8 and q(i)?
32
Let m = 715 + -545. Suppose m*n + 3616 = 178*n. What is the smallest common multiple of n and 12?
1356
Let z = -24492134799/40 + 612258197. Let i = z - -45176. What is the common denominator of i and -5/8?
40
What is the least common multiple of 400 and 5/(10/11688) - (320 - 316)?
29200
Let d(o) = o + 27. Suppose 2*b = 3*a - 55, a - 47 = 2*b + 2. Calculate the smallest common multiple of 26 and d(b).
52
Let i = -99/13 + 27/65. Let w = 43299/8 - 5416. Calculate the common denominator of i and w.
40
Let d(b) = -2*b**3 + 54*b**2 - 4*b - 7. Let w be d(29). Let n = -20855/6 - w. What is the common denominator of n and 107/30?
30
Let p = -5617/6108 - -3/1018. Let d(m) = 864*m + 13. Let c be d(5). Let u = c - 34751/8. Calculate the common denominator of u and p.
24
Let w = 2627437/234 - 11228. Calculate the common denominator of -82/99 and w.
2574
Let h be (2 - -3)*(-4)/(-5). Let s be h/3 - 91/21. Calculate the lowest common multiple of 26 and -2 + 28 + (-7 - s).
286
Suppose -10*s + 40 = -14*s. Let y = s - -25. Calculate the common denominator of -12 and (-95)/y - -6 - 29/(-3).
3
Suppose s - 66 + 16 = -4*i, -3*i + 632 = 11*s. What is the lowest common multiple of s and 29?
58
Let l be (16 - (-2509)/(-156)) + (-293590)/96. Let u = l - -3060. Calculate the common denominator of -15/4 and u.
16
Let d(x) = -x**3 + 6*x**2 + 10*x - 11. Suppose q + 3*m + 0*m + 8 = 0, 46 = 3*q - 5*m. Let o = 23 - 12. What is the least common multiple of d(q) and o?
110
Let y = 13243/602 - 1121/43. Let l = -6151109/6104670 - 4/46959. Find the common denominator of l and y.
910
Let w = 17569 + -17491. What is the lowest common multiple of 390 and w?
390
Suppose -256*a = -508 - 4612. Calculate the lowest common multiple of a and 15648.
78240
What is the smallest common multiple of 20 and ((-2)/(-6) + (-2125)/3)*-