/(-20)*(-6 + (-2 - 2)) and 214.
1284
Let k = 5 + -29. What is the common denominator of (-3)/k*-25*1 and -59/20?
40
Let m(r) = 11*r - 2. Let x be m(2). Let w = -349/304 + 4/19. Find the common denominator of (-235)/x + (-1)/(-6) and w.
48
Suppose -107925 = -6*v + v. Let h be (-2154)/165*v/12. Let f = 23478 + h. Calculate the common denominator of f and 73/22.
22
Let y = 58 + -39. Suppose 0 = -5*t + 129 - y. Let q(d) = d**3 - d**2 + 8. Calculate the least common multiple of t and q(0).
88
Let u = 284 - 273. Let x = 1 + -4. Let k = 11 + x. What is the lowest common multiple of u and k?
88
Let s = -690 - -704. Calculate the lowest common multiple of 486 and s.
3402
Let y be 10/30 + 9274/(-156). Let j = 216/13 + y. Let n = -7129/226 + 5/113. What is the common denominator of j and n?
2
Suppose 7*s - 2*s = 935. What is the least common multiple of 33 and s?
561
Suppose -2*t - 26 = -l - 0*l, 0 = 3*t + 6. Let y be 6/33 - 10/55. Suppose -6*m + 102 - 18 = y. Calculate the least common multiple of l and m.
154
Suppose w + 4*y - 16 = 0, -y + 75 + 49 = 4*w. What is the lowest common multiple of w and 64?
64
Let o = 11113/72 - 1281/8. Suppose 0 = 5*h + q + 82 + 6, -3*h - 44 = 5*q. Find the common denominator of o and (-2)/4 - h/(-60).
45
Let s(a) = a**2 - 38*a + 383. Calculate the lowest common multiple of 319 and s(13).
638
Let i be (-6)/(-10) - (-8760)/(-100). Calculate the common denominator of (i/4)/(110/4*-3) and 37/22.
110
Let t(p) = p**3. Let g be t(0). Suppose -5*x + s + 763 = -3*s, g = 2*x + 2*s - 316. What is the common denominator of x/20*2/(-8) and 73/8?
16
Let r = 47/1480 - -11767/16280. Find the common denominator of -32/55 and r.
110
Let d(p) = 48*p + 615. What is the smallest common multiple of 468 and d(-12)?
468
Let s = -593945/105858 - 2/5881. Find the common denominator of s and 149/54.
54
Let s be -4 + -6 + (4 - 0). Let t be 15/((-10)/s - 2). Calculate the common denominator of t/(-18)*20/18 and 47/8.
72
Let n = 36 + -19. What is the smallest common multiple of n - ((-4 - -5) + 2) and 14?
14
Let j = 168538652/5315 - 31710. Let x = j - -41453/10630. Calculate the common denominator of x and 27/5.
10
Let x be 6 + 0 - 0/3. Let m = -5 + x. Suppose 3*q + 17 = 2, 0 = 3*o - 4*q - 23. What is the lowest common multiple of m and o?
1
Let t(z) = 7*z**2 - z - 52. What is the smallest common multiple of t(7) and 20?
1420
Suppose -20 = -4*j - 0, w - 5*j + 21 = 0. Suppose w*v - 14 = -r + 14, 4*r + v = 37. What is the least common multiple of 8 and r?
8
Let b be -2 - 0*(1/2 + 0). Calculate the common denominator of -79/30 and (-447)/45 - -3 - b.
30
Suppose 5*z = -5*r + 410, -6*r - 324 = -4*z - 9*r. What is the smallest common multiple of z and 6?
78
Let u(t) = -8*t**2 - 5*t - 7. Let k be u(-6). What is the common denominator of (-10)/(-30) + (-204)/27 + 1 and 1*-2 - k/10?
18
Let p = 1380001/2043 + 623/227. Let m = -1046764457/10494 - -5322806/53. Let z = m - p. Calculate the common denominator of 19/6 and z.
66
Calculate the lowest common multiple of 20/16 - (-1072)/64 and 282.
846
Let h(s) = -17*s - 8. Let b be h(5). Find the common denominator of (0 + (-6)/(-16))/(b/62) and -75/8.
8
Let z = -253 - -288. What is the smallest common multiple of z and 56?
280
Let x(h) = -h + 4. Suppose 5*p + 3*s - 33 = 0, p + 4*p - 4*s - 61 = 0. Let q be x(p). Calculate the common denominator of -48 and q*2*3/(-55).
11
Let j(n) be the second derivative of -9*n**5/20 - n**4/12 + n. What is the lowest common multiple of 2 and j(-1)?
8
Let c = 7 - 4. Let l(h) = 4*h + 10. Let y be l(-2). Suppose b - 26 = -2*b - 2*i, y*b = 2*i + 24. Calculate the lowest common multiple of b and c.
30
Suppose 0 = 769*m - 767*m - 2, 5*m = -2*r + 25. Let z = -7 + 20. Calculate the least common multiple of r and z.
130
Let n(u) = u**3 + 5*u**2 - 8*u - 15. Calculate the lowest common multiple of 22 and n(-4).
66
Let f(j) = -j**3 + 9*j**2 - 5*j + 6. What is the smallest common multiple of 27 and f(8)?
270
Let z = -12 - -18. Let g be (z - 1)*12/(-15). Find the common denominator of 3/9*(-27)/g and -1/2.
4
Suppose u - 2 = 3*u. Suppose 3*d + 56 = 3*t - t, 86 = 3*t - 5*d. What is the smallest common multiple of t and (-3 - u)/(1/(-1))?
22
Let k(o) = -o**2 + 58*o - 304. What is the least common multiple of k(52) and 88?
88
Let r = 25/43 + 1513/430. Let x = 3050 + -57927/19. Find the common denominator of r and x.
190
Let w = 11 + -5. Let f(t) = 5*t - 7 + 2*t - 3 - 6*t. Calculate the least common multiple of w and f(11).
6
What is the common denominator of ((-1)/5)/((-136)/7004) and -145/144?
720
Suppose 5*r - 5*q - 65 = 0, -3*q + 25 = -21*r + 26*r. What is the smallest common multiple of 60 and r?
120
Suppose -16 = 4*b + 4*h, b - 3*b = -3*h - 12. What is the common denominator of 119*2/12 - (b - 1) and 29/9?
18
Let h be 10/65 - 472/26. Let u be 24/h*(-3)/2. Suppose -u*b = -2*d - 26, 3*b - 3*d + 31 = 7*b. Calculate the lowest common multiple of 10 and b.
10
Suppose -4*o - 5*x - 3 = -38, -4*x - 50 = -2*o. Suppose -2*n + 33 = 3*h, -4*h = -n - 5*h + o. Calculate the lowest common multiple of n and 16.
48
What is the common denominator of 8/(-52) - 3280/7410 and 2/33?
627
Suppose 3*p - 18*p = -630. Calculate the smallest common multiple of 49 and p.
294
Let p(q) = q**2 + 18*q + 24. Let t be p(-17). Let c = 18 - t. What is the least common multiple of 3 and c?
33
Suppose 280 - 147 = -24*s + 229. Let u(j) = -j**3 - 7*j**2 - 7*j - 2. What is the lowest common multiple of s and u(-6)?
4
Let p = -883 - -981. What is the least common multiple of p and 70?
490
Let o = -618826/371 - -1668. Let r = 15223/2226 - o. Calculate the common denominator of r and 18/(-189)*-7 - (-269)/(-30).
30
Suppose -3 = -k + 2*m, 2*k + 3*m - 21 = 6. What is the least common multiple of k and 9?
9
Let j be 4 - 180/8*-17. Let z = 1094/3 - j. Let o = 17285/11 - 1567. What is the common denominator of o and z?
66
Let b(c) = -c**3 - 10*c**2 - 9*c + 6. Let r be b(-9). Let j(a) = 4*a - 2. What is the smallest common multiple of (6/12)/((-1)/(-48)) and j(r)?
264
What is the common denominator of 97/110 and ((-142)/3)/(1000/(-150))?
110
Let z(k) = -k**2 - 14*k - 21. Let i be z(-12). Suppose 0 = i*o + 6, 7*a - 4*a + 4 = -5*o. What is the least common multiple of a and 4?
4
Let f = -7/1059 + 56239/16944. Suppose 11*b - 15*b - 16 = 0. Calculate the common denominator of f and 2*(-173)/(-36) + b.
144
Suppose -144 = -38*x + 34*x. Suppose d = 10*d - x. What is the lowest common multiple of d and 2?
4
Calculate the common denominator of ((1976/288)/(-19))/((-2)/(-42)) and 113/96.
96
Let i = -428/13 - -29609/910. Calculate the common denominator of i and 65/84.
420
Calculate the smallest common multiple of (-1734)/(-22) + 315/99 + -3 and 9.
711
What is the common denominator of 59/24 and (-3)/2*1853/(-37278)?
456
Let p = 3233/25116 - -2/897. Calculate the common denominator of p and -89/6.
84
Let r be (2 - 8/5) + (-56)/(-10). Find the common denominator of 474/r*2/(-16) and 4/9.
72
Let i be 3/(-4) + (5 - 699/12). Calculate the common denominator of i/(-6)*((-18)/7 + 3) and (142/(-48))/((-3)/(-9)).
56
Let c = -11/9 + 124/117. Find the common denominator of c and -32/13.
117
Suppose -1 = -v + 2*d, -5*v + 4*v - 7 = 2*d. Let n be (0 + -6)/(v/(-3)). Calculate the common denominator of 118/n - (-1)/(-2) and -51/2.
6
Suppose -144 = -2*m + 3*f, m + 5*f - 508 = -7*m. Calculate the smallest common multiple of m and 5.
330
Let n = -92663/40 - -2317. What is the common denominator of n and 34/5?
40
Suppose -2*m - n = -45, -m - n + 0 = -21. What is the lowest common multiple of 108 and m?
216
Suppose 2*c - 3*c + 13 = 2*r, -4*c = -4*r + 32. Let x(a) = a**2 - 7*a + 10. Calculate the smallest common multiple of x(r) and (-1 - (-23)/2)*(-16)/(-12).
70
Let q(x) = x**2 - 2*x + 2. Let k(g) = -g**2 + 8*g + 17. Let y be k(12). Let m = y + 38. Calculate the smallest common multiple of q(3) and m.
35
Let s(v) = v**3 + 7*v**2 + 5*v + 3. Suppose -175 = -11*z + 199. Let c = -28 + z. What is the least common multiple of s(-6) and c?
18
Suppose -30 = -4*a + 2. Find the common denominator of 780/(-16)*(-5)/((-700)/a) and 18/32 + 1*-1.
112
Calculate the common denominator of 53/4 and (2/(-56))/(989/5106).
1204
Let r = -342 + 352. Calculate the smallest common multiple of 194 a