4/14 - 7988/28. Find the common denominator of 91/4 and (x/20)/(2/t).
8
Suppose 4*v + 2*j = -217 + 83, 2*j - 6 = 0. Let m = -25 - v. Calculate the lowest common multiple of ((-4)/2)/((-2)/10) and m.
10
Let p(w) = -110*w + 3. Let h be p(-9). Let z = -297 + h. Calculate the common denominator of 97/10 and 5/2*z/160.
40
Let j(l) = -4*l**3 + 13*l**2 + 20*l - 12. Let s(f) = f**3 - 3*f**2 - 5*f + 3. Let v(i) = 2*j(i) + 9*s(i). What is the least common multiple of 3 and v(3)?
6
Suppose -5*y - 20 = -5*b, -3*b = -5*b - 2*y. Calculate the common denominator of b/(-8) + (-107)/44 and 3/4 + (-430)/88.
22
Suppose -2*k - 19 = -5*g, 8*g - 25 = 3*g. Let u = 1 - k. Calculate the lowest common multiple of 2 and (u + 4)*(11 - 4).
14
Let w(y) = -y**3 - 14*y**2 - 2*y - 25. Let l be w(-14). Find the common denominator of 25/2 and (0 - 3) + 7/l - -14.
6
Suppose -6*r + 3*r = 12. Let l be (14/4 + r)*-2. Calculate the common denominator of -2*(l + 140/(-48)) and 41/10.
30
Let y be ((-362525)/130 - 3)*2. Let h = y - -243475/78. Let u = -2456 - h. Find the common denominator of u and 57/10.
30
Let u = -1957818/33761 + 3072/53. Let g = u + 42751/2548. Calculate the common denominator of (-2)/(-7) + (-228)/112 and g.
4
Let x = -1373765/216 - -6360. Calculate the common denominator of 31/21 and x.
1512
Let h = 11 - 7. Let n = h + -2. Suppose -2*i + 44 = n*i. What is the least common multiple of 6 and i?
66
Suppose -188*q + 288 = -184*q. What is the smallest common multiple of q and 8?
72
Let d be 5*(8/(-20) + -2). Let b = d - -44. Calculate the least common multiple of b and 10.
160
Suppose 0 = q + 2*q + 3*m - 825, -q - 4*m + 272 = 0. What is the smallest common multiple of q and 120?
2760
Suppose p + 1 = 3. What is the least common multiple of (6/((-24)/(-5)))/((-2)/(-32)) and p?
20
Calculate the common denominator of 131/260 + (-88)/572 and 101/118.
1180
Let r = -16461 + 66901/4. Let v = -1314/5 + r. What is the common denominator of (57/14)/((-60)/(-14)) and v?
20
What is the common denominator of 98/198*(-440)/(-308) and -103/22?
198
Calculate the smallest common multiple of 18 and (-40)/12*198/(-15).
396
Let u(w) = -10*w - 7*w + 5*w. What is the least common multiple of 22/14 - 3/(-7) and u(-1)?
12
Suppose -2*g = 3*o - 28 + 2, 3*g = 5*o - 56. Suppose -3*k + 2*r = -19, 5*k + 4*r = -5 - 0. Calculate the smallest common multiple of k and o.
30
Suppose 0*d - 2*d + 68 = w, -5*d + 5*w = -155. Suppose -13 = 5*r - d. Calculate the lowest common multiple of r and 8.
8
Let g = 1/5327 + -175793/10654. What is the common denominator of g and 274/36 + (-4)/(-18)?
6
Let j = 46/17 + -691/136. Calculate the common denominator of 153/(-357) + (2 - 913/42) and j.
24
Let l be ((-8526)/968)/7 + 2/8. Let k = l - 11477/2178. What is the common denominator of -35/9 and k?
18
Let s(h) be the third derivative of 11*h**5/60 + h**3/6 + 4*h**2. Let w be s(1). Find the common denominator of 31/4 and 1*(-2)/w + -23.
12
Let i = 31859 - 1720435/54. Find the common denominator of 91/270 and i.
270
Suppose 0 = z + 6 - 18. Suppose z*x + 36 = 14*x. Let t = 44 + -24. What is the least common multiple of t and x?
180
Suppose -2*x - 3*w + 7 = 1, 9 = 3*x + 2*w. What is the least common multiple of 8 and (-6 + 1)/(x/24*-4)?
40
Let c = -20 - -110. What is the least common multiple of 40 and c?
360
What is the common denominator of -17/198 and (-88)/154 + 993/378?
198
What is the common denominator of 143/12 and (-1 - 14/40) + 0?
60
What is the common denominator of 46/7 and (-1)/(-1) + (-36380)/31552?
3248
Let z = -162784/87 + 1871. Calculate the common denominator of z and 4/93.
2697
Let z = -26701/11280 + -27/940. Find the common denominator of z and (-38)/99 - (-4)/(-18).
528
Let s(y) = -y**3 - 16*y**2 - 27*y + 15. Let a be s(-14). Let p = -35 - -50. Calculate the common denominator of p and (-12)/(-16) - ((-603)/(-60) - a).
10
Suppose -31 + 10 = 7*m. Suppose -l = -3*f + 16, -60 = 5*l - 7*f + 2*f. Let d = m - l. Calculate the smallest common multiple of d and 10.
70
Suppose -3*i - 2*v = -5*v + 21, 5*i - 2*v = -32. Let x(p) = p**3 + 5*p**2 + p - 3. Let f be x(-4). Let k = f + i. What is the least common multiple of 9 and k?
9
Let g = 14 - 6. Let t(u) = 2*u**2 + 15*u + 38. Calculate the least common multiple of g and t(-4).
40
Let n = 11/140 - -7/20. What is the common denominator of n and 7/85?
595
Let p = -74 - 2334. Let x be 17/(-85) + p/10. Let u = -3855/16 - x. Find the common denominator of 11/16 and u.
16
Calculate the common denominator of (151830/2900)/(-9) - -6 and 7/5.
290
Let w = 46 - 62. Calculate the lowest common multiple of 2 and (w/(-12))/(-4)*(-64 + -2).
22
Let i = -9316 + 149127/16. What is the common denominator of i and -75/8?
16
Suppose -j + 40 = 7*j. Suppose -j = 2*u - 9. Calculate the smallest common multiple of u and 20.
20
Suppose 105 + 27 = 6*s. Let a(k) = -k - 1. What is the least common multiple of s and a(-21)?
220
Let y = -144 - -100. Let z = -39 - y. Calculate the lowest common multiple of 14 and z.
70
Let y(r) = 3*r**2 + 8*r - 5. Let x be y(5). Suppose 0 = 4*u + x - 318. What is the lowest common multiple of u and 12?
156
Suppose -3*x + 6 = -5*u - 4*x, 0 = -3*u - x - 2. Find the common denominator of 1/(u/2) + (-3)/32 and 19/8.
32
Let j(k) = -11*k**3 + 3*k**2 + 4*k + 4. Let i be j(-2). Let a = i - 90. What is the least common multiple of a and 7?
42
Let m be (-7)/((-7)/2) + 1015826/(-48). Let q = -21158 - m. What is the common denominator of -44/3 and q?
24
Suppose -7*d - d = -32. Suppose -d*o + 7 = -1. Suppose b - 9 = -o. Calculate the lowest common multiple of 2 and b.
14
Let j be (6/1)/(18/12). Calculate the least common multiple of 12 and 0 + 85/20 + (-1)/j.
12
Suppose 24*w = 21*w + 6. Suppose 8 = -2*o - w*o. What is the common denominator of o and -46/3?
3
Find the common denominator of -41/19 and (90/(-108))/(3/2).
171
Let c be (12/8)/((-6)/(-16)). Let x be c/22 - (-360)/(-44). Find the common denominator of (-4)/(-22)*142/x and -85/16.
176
Let a = -59/6 - -46/3. Let g = -28/3 + a. Find the common denominator of g and 19/24.
24
Calculate the common denominator of 113/486 and (-1605)/(-660) + 3/12.
5346
Let u(i) = 5*i**2 + 3*i - 3. Let c be u(1). Let s = c - -11. Calculate the smallest common multiple of 18 and s.
144
Let s = -679 + 682. Let u(h) = h**3 + 7*h**2 + 4*h - 5. Calculate the smallest common multiple of s and u(-4).
27
Calculate the smallest common multiple of 51 and 3/6 + (4 - (-49)/(-14)).
51
Calculate the smallest common multiple of 21*9/((-189)/(-30)) and 24.
120
Suppose 2*u - 5 + 1 = 0. Suppose 0 = 5*w + 15, -3*z - 4*w = -2*w - 87. Let j = z - 13. Calculate the lowest common multiple of u and j.
18
Let x = 11383/2460 - 92/41. Find the common denominator of -127/414 and x.
4140
Let s(y) = y**3 - 15*y**2 + y + 16. Let r be s(15). Suppose 10 - r = 3*f. Calculate the lowest common multiple of (f + -1)*(-3)/6 and 18.
36
Suppose 17*m - 64098 = -m. Let p = m + -99819/28. Find the common denominator of p and 111/28.
28
Let m be (-84)/(-10) + 6/(-15). Suppose -2*y + m = 2*y. Let q = -8 + 17. Calculate the smallest common multiple of q and y.
18
Suppose 0 = -5*w - 96 + 366. Suppose 6 = d + 18. What is the lowest common multiple of 40/18 + d/w and 22?
22
Let n(a) = -a**2 - 10*a - 14. Let w be n(-6). Calculate the smallest common multiple of 6 and 98/w + 4/20.
30
Suppose -451 = -25*l - 16*l. What is the lowest common multiple of l and 197?
2167
Suppose -b + 0 = -4. Suppose -14*t + 114 = -12. What is the smallest common multiple of t and b?
36
Let w be (-602)/6 + 16/12. Let i = 130 + w. Calculate the lowest common multiple of 1 and i.
31
Let g = -4675 - -74741/16. Find the common denominator of g and ((-12)/(-70))/(4/(-28)).
80
Let z = 4285 + -34209/8. Let f = -60759/13294 - -3/578. Let t = f - -3/46. Find the common denominator of t and z.
8
Let d(q) = q**3 - 7*q**2 + 8*q - 10. Let f be d(6). Let n be (3/(-5))/(f/(-40)). Find the common denominator of 25 and -1 + n/9 + -23.
3
Suppose -2*g - 140 = 2*z, g - 3*z + 21 + 37 = 0. Let q = g + 71. What is the lowest common multiple of 15 and q?
60
Suppose -5 = -5*b + 3*a, b - 2*a + 0*a = 8. Let q be (-1 - 1*-1) + 1. Calculate the least common multiple of 9 and (b/(-8))/(q/44).
99
Let c(v) = -v**3 + 4*v**2 - 4. Let s be c