624 and x?
3120
Suppose -95*y - 26*y + 3563 + 81137 = 0. Calculate the smallest common multiple of 25 and y.
700
Let s(t) = 10*t**2 + 6*t + 42. Let m(y) = -y**2. Let c(w) = -12*m(w) - s(w). What is the lowest common multiple of 22 and c(-10)?
2398
Suppose 4*i = -g - 41, i - 300 = 5*g + 2*i. Let f = -77 - g. Calculate the common denominator of ((-34)/(-30) - 1)/(f/(-222)) and 93/8.
40
Suppose 0 = -17*w + 1686 - 71. Find the common denominator of w/(-21) + 2 - 2/2 and 17/39.
273
Let i(g) = 66*g + 9510. Let r = 64 - 22. Calculate the lowest common multiple of r and i(-144).
42
Let h(n) = 23959*n - 15. Let m be h(5). Let k be (4/(-360))/((-456)/m). Let v = -1/513 + k. Find the common denominator of v and 11/20.
60
Let g(j) = 6*j**2 + 56*j - 111. Let n be g(2). What is the common denominator of 25/84 and 10/n*(-2975)/(-532)?
1596
Let k = -4131 - -5257. What is the least common multiple of k and 4?
2252
Let d = 32 + 49. Let i = 21011/6 + -3527. What is the common denominator of ((-8)/(-10))/(d/90) and i?
18
Suppose -i = -2*n - 116, -5*i + 3*n = -665 + 99. Calculate the smallest common multiple of 32 and i.
224
Let n(s) = -s**3 - 12*s**2 - 11*s + 12. Let w be n(-11). Find the common denominator of 20/w*(84/(-32) + 0) and 42/11.
88
What is the smallest common multiple of ((-618)/30)/((-4 - -2)/90) and 87?
26883
Let x = 16136 - 290377/18. Let n = -4487 + 71767/16. Find the common denominator of n and x.
144
Let c = 6184/3 - 2072. Find the common denominator of c and -64/549.
549
Suppose -736 + 16 = 36*f - 52*f. What is the lowest common multiple of f and 48?
720
Let v(y) = y**3 + 3*y**2 - 108*y + 2. Suppose -4 = 4*k + 12. Calculate the lowest common multiple of k/(-8) - 86/(-4) and v(-12).
22
Suppose 0 = -56*t + 67*t - 33. Suppose -t*l + 90 = -s, 0 = -4*l - s + 4*s + 120. What is the lowest common multiple of (-2 - 0)/(2/(-15)) and l?
30
Suppose 3*g - f - 4 - 2 = 0, -4*g = 5*f - 8. Let p(y) = -y**3 - 5*y**2 + 3. Let r be p(-5). What is the least common multiple of g and ((-352)/(-132))/(1/r)?
8
What is the common denominator of -49/459 and (-124)/(-8) - (-14)/((-42)/(-9))?
918
Let o = 10583 + -10574. What is the smallest common multiple of o and 18?
18
Let x = 20186053/192 + -105135. Find the common denominator of x and -143/96.
192
Suppose 6*k + 3852 = 12*k. Let l = k + -587. What is the smallest common multiple of l and 187?
935
Let l(n) = -n**3 - 160*n**2 - 1494*n + 990. Let v(k) = -k**2 + 6*k - 6. Calculate the smallest common multiple of l(-150) and v(4).
90
Let n be -3*(-2092)/(-7794) - (-4)/6. Let s = n + -23300/81837. Calculate the common denominator of s and -28/11.
2079
Let x(h) = -h**3 - 3*h**2 - 13*h + 5. Let b be x(-3). Let d = -9 + -6. Find the common denominator of d/10*38/b and 43/4.
44
Let b(u) = -4*u. Suppose 12*l = l + 1408. Suppose -3*z + l - 2 = 2*y, -4*y - 68 = -2*z. Calculate the least common multiple of b(-5) and z.
40
Suppose 57 = 4*i - 5*i - 4*d, 2*i + 5*d + 129 = 0. Suppose 3*l + 4*k + 7 = -7, -4*k - 24 = -2*l. Calculate the smallest common multiple of 7/2*(-264)/i and l.
12
Let i = 89719 + -8074897/90. What is the common denominator of -1/480 and i?
1440
Let t be 88*(1 + -2) - 2. Suppose 0 = -5*a - 5*m - 325, 4*a - 2*m = 13*a + 606. Let j = a - t. Calculate the smallest common multiple of j and 2.
22
Let z = -361 - -2161/6. Let b = 5/3 + z. Calculate the common denominator of b and 9/14.
42
Let a = 4900753/372 - 13174. Calculate the common denominator of 13/108 and a.
3348
Let y(n) = 1877*n - 9134. Calculate the least common multiple of 68 and y(8).
11764
Let f = 4805817 + -52917917/11. Let t = f + 4899. What is the common denominator of t and 42?
11
Let m be ((-41)/(-20))/((-30)/8675). Let t be (7054/12)/(-3 + 2). Let b = m - t. What is the common denominator of -83/15 and b?
120
Suppose 2*g = 4*g + 26. Let x = 22 + g. Suppose 4*b - 19 = 2*k + 5, -2*k = -5*b + 29. What is the lowest common multiple of x and b?
45
Calculate the common denominator of (14/56)/((-640)/630 - (1 - 2)) and 61/1484.
1484
Let c = -1825/6 + 261095/858. Calculate the common denominator of 46/7 and c.
1001
Let w(z) = 77*z**2 - 2*z - 1. Let f = -101 - -100. Calculate the least common multiple of 12 and w(f).
156
Let u be ((-403466)/(-21))/((-32)/(-12) - 2). Let f = u - 2853130/99. Calculate the common denominator of f and -29/22.
198
What is the smallest common multiple of 16070/35 - 40/35 and 22?
5038
Suppose -5*d + 39 = -61. Let t = -637 - -656. Suppose t*n = d*n - 44. What is the least common multiple of 28 and n?
308
Let i = -74875 - -35940019/480. Let z = -8113/25440 - i. Find the common denominator of -35/6 and z.
318
Suppose 3*x = 5*v - 15, -10 + 4 = x - 2*v. Let p be 2 + (x - -52) + 5. Let m = -51 + p. Calculate the smallest common multiple of 12 and m.
24
Let r(n) = 11*n**2 - 83*n - 5. Let d be r(8). Suppose -d = 7*c - 203. What is the smallest common multiple of 72 and c?
72
Let z = 1642483/378 - 30416/7. Find the common denominator of z and -53/238.
6426
Let a be 119*(-1 - (-4 - -4)). Let l = a + 135. Let v = 116 - 84. Calculate the lowest common multiple of v and l.
32
Let s = 7161896239/25 + -859243655/3. Let u = 61297 - s. Find the common denominator of u and -79/33.
825
Suppose a - 5 = -2*l, -270*a - 5*l = -274*a + 20. What is the least common multiple of a and 2540?
2540
Let d be (-48)/(64/(-8)) + -223. Let x = d - -229. What is the lowest common multiple of x and 4?
12
Suppose -36*b + 38*b - 5*a = 4, -5*a + 4 = 2*b. What is the lowest common multiple of 96 and 7 + 61 + (-2 - 4/b)?
192
Let c = -2609 - -2609. Let q = 37 - 21. Suppose c = -6*h + q*h - 10. Calculate the least common multiple of h and 1.
1
Let v be (-54)/45 - 4996/(-4155). Let s = v - 13577/1662. Calculate the common denominator of s and -89/465.
930
Let w(y) = 3*y**2 + 42*y + 14. Let m(n) = -20*n + 6. Let z be m(1). Calculate the smallest common multiple of w(z) and 4.
28
Let q = -34 - -34. Suppose q*k + 12 = 3*k. Suppose -5*y + 0*p - p + 30 = 0, 0 = -k*p. What is the least common multiple of y and 20?
60
Let k = -8 - -19. Calculate the least common multiple of (-9 - 1166/(-110))/((-8)/(-30)) and k.
66
Suppose 164*q = 159*q + 25. What is the common denominator of q - (1 + 35/(-8)) and 95/2?
8
Let b(x) = -2*x**3 + 108*x**2 - 304*x - 90. Let z = 76 + -46. What is the smallest common multiple of b(51) and z?
60
Let i be 197831/(-24171)*9/288*-4. Let r = 138/8057 - i. Find the common denominator of -127/126 and r.
504
Let h = 2762 - 30403/11. Let c be 7/(1/4 - 27/180). Calculate the common denominator of h and ((-597)/c - -2) + (-12)/21.
110
Let c(u) = -u**2 - 6*u + 10. Let y be c(-6). Let d be ((-2)/(-2))/(5/y). Calculate the common denominator of -101/4 and d - (364/(-32) + 4).
8
Let s(q) = 9*q - 33. Calculate the least common multiple of 4 and s(21).
156
Let a = -15631/2 + 7804. Calculate the common denominator of a and -26/175.
350
Calculate the common denominator of -1/340 and ((-93)/4340*21)/((-51)/26).
340
Let n = -6283103/156 - -40276. Find the common denominator of n and 5/156.
156
Suppose 0 = 61*h - 495 - 603. Let q(i) = -6*i - 42. What is the least common multiple of q(-11) and h?
72
Calculate the least common multiple of 1617 and (2990/208 - 14)*72.
14553
Let w = 89 + -634. Let k = -512 - w. Calculate the lowest common multiple of k and 96.
1056
Let o(w) = -w**3 - 71*w**2 + 223*w + 76. Let i be o(-74). Let s = 68 + -208. What is the common denominator of i - (s/(-88) - 0) and 93/26?
286
Suppose -12 = 3*c, -3*t + 0*t = 4*c - 17552045. Let r = t - 52590728/9. Let j = -7265 + r. What is the common denominator of -103/48 and j?
144
Let x(a) = -514*a - 13860. What is the lowest common multiple of 3333 and x(-27)?
19998
Suppose -3*r + r + 27 = -5*a, -4*r = 2*a - 66. Suppose -37 + r = -7*v. What is the least common multiple of v and 27?
27
What is the common denominator of (-987)/(-72) - 1 - (-37)/296 and (-4 + 66/15)/((-132)/68)?
330
Suppose 26320 = -g + 4*g + h, 0 = -5*g + 4*h + 43895. Calculate the common denominator of 24427/g - (-8)/(-100) and 49/18.
54
Let f = 8096 + -5546. Calculate the least common multiple of f and 27.
22950
Let l be (0/(-1) - -1)/(9/(-45)). What is the common denominator of 115/18 and (-4 - l) + 89/(-20)?
180
Let v(a) = 13*a + 76. Let t be v