Suppose d*v - 18*v + 32 = 0. What is the common denominator of (1/14)/((-2)/(-76)) and v?
7
Let j = 1947/7 + -34703/126. Let s = -5 + -10. Find the common denominator of j and (85/(-105))/(2/s).
126
Let w be (-26)/12*(-3042)/4. Let m = w + -26299/16. Find the common denominator of m and ((1625/(-70))/5)/(126/(-147)).
48
Let d = 9567/100 + -2238/25. Find the common denominator of (38/9)/(-1) - 2 and d.
180
Let r be -106*(4 + 228/8). Let t = r + 55103/16. Calculate the common denominator of 33/10 and t.
80
Find the common denominator of 59/(-7080)*52/10 and 43/210.
2100
Let x be 1 + ((-2)/2 - -2). What is the common denominator of x*218/(-24) - -1 and (210 + 3)*2*3/108?
6
Suppose -4*m + 3*r - 6*r + 8 = 0, 2*m + 2 = -3*r. Suppose -3*j + 61 = -2*h, -90 + 37 = -4*j - 3*h. Calculate the smallest common multiple of j and m.
85
Let q = -2178 + 34865/16. Calculate the common denominator of q and ((-2)/16)/((-9)/(-906)).
48
Let o(w) = -2*w**2 + 18*w - 14. Let n be o(8). Calculate the smallest common multiple of -2*(-1)/(n/27) and 27.
27
Let j(c) = 9*c + 3. Let b be j(6). Let i = 78 - 73. Suppose -b - 13 = -i*y. What is the lowest common multiple of 22 and y?
154
Let i be (687/(-15) - -3)/((-108)/74155). Let s = i - 29386. Find the common denominator of 119/6 and s.
54
Calculate the smallest common multiple of 2/(-4) + 819/26 + 9 and 65.
520
Let u = 13031039/208 - 62649. Find the common denominator of 17/130 and u.
1040
Suppose c + 0 = -4*k - 19, -3*k = -3*c + 33. Let b(a) = a**2 + 7*a - 4. Let p be b(k). Let x = p - -13. What is the least common multiple of 7 and x?
21
Let b = 6263/6 - 1044. Find the common denominator of -61/1618 and b.
4854
Suppose -20 = 3*a + 31. Calculate the common denominator of (-872)/154 + 1/11 and a.
7
Suppose -q = 2*q - 2*i - 79, 3*q - 82 = -i. Let j(n) = 44*n - 73. Calculate the least common multiple of q and j(2).
135
Let c = -1229/16 - -71. Suppose -4 = -5*w - 3*f, 2*w + 4 = -0*w - 4*f. Calculate the common denominator of c and (w - (-51)/8)/1.
16
What is the common denominator of 808/(-176) + 1 + 0 + 1 and 79/478?
5258
Let p(z) = -z**2 - 8*z + 18. Let m be p(-12). What is the common denominator of 97/6 and (5 + -4)/1*(-107)/m?
30
Let p = 195 + -179. What is the lowest common multiple of p and 6?
48
Let b be 2 - (-1 + 13364/(-40)). Let c = -1518/5 + b. What is the common denominator of (-4)/(-2) + 154/24 and c?
12
Suppose 0 = -4*q + 3*q + 5, 5*r + 5*q - 1465 = 0. What is the lowest common multiple of 48 and r?
288
Find the common denominator of -53/2 and ((-42)/(-756))/(5/(-543)).
30
Let r = 11 + -7. Suppose -m + 5*j = r + 13, -3*j = -5*m + 3. Suppose m*o + o = 32. What is the lowest common multiple of 1 and o?
8
Let g = 51112/11 - 4642. What is the common denominator of 77/423 and g?
4653
Let j(f) = 3*f**2 - 3*f - 2. Let u(s) = -2*s**2 - 12*s + 6. Let v be u(-7). Let i = -10 - v. What is the lowest common multiple of 20 and j(i)?
80
Let f be (-2)/(-3) + 2 + (-154)/(-21). Suppose -6*u = -11*u + f. Calculate the least common multiple of u and 11.
22
Suppose -3*t + 68 + 52 = 0. Let j = 24 - t. Let w = 26 + j. What is the lowest common multiple of w and 11?
110
Suppose 4*z = 76 + 92. Calculate the lowest common multiple of z and 49.
294
Let o(x) = x**2 - 4*x + 7. Suppose 1360*k = 1364*k - 72. Calculate the smallest common multiple of k and o(5).
36
Let p = 111947/20 + -5596. Find the common denominator of -41/85 and p.
340
Suppose 60 = -11*x + 14*x. Let q = -16 + 18. What is the smallest common multiple of q and x?
20
Let i(n) = -n**3 - 18*n**2 + 8*n - 30. Let j be i(-13). Let y = 5893/6 + j. Find the common denominator of 34/13 and y.
78
Calculate the smallest common multiple of 7 and (-32 - -46) + (-5)/1.
63
Let a = 7553/7002 - 9/389. Let p = -193/240 - -23/16. Find the common denominator of p and a.
90
Let h = 51 - 4. Let u = h - 29. What is the least common multiple of u and 27?
54
Let k = -205627335/3554 - -57858. Let z = k + 117369/103066. Find the common denominator of -81/10 and z.
290
What is the common denominator of (-1090)/(-109) - 127/22 and 93/4?
44
Let i(j) = 19*j**3 - j**2 + j - 1. Let p be i(1). Suppose p = 2*c - 4*c. Let a = c + 15. What is the smallest common multiple of 16 and a?
48
Let p = -12975 + 311443/24. What is the common denominator of -73/36 and p?
72
Let y = -328 - -373. Calculate the lowest common multiple of y and 99.
495
Let n = 1/25569 + -537154/5241645. Find the common denominator of -41/50 and n.
2050
Let t be (-2)/(((-8)/3)/(-4)). Let j be (t/1 - 7)/(-2). Let y = 5 + j. Calculate the smallest common multiple of y and 8.
40
Suppose 2*a - 6*a = -40. Let m = 97 + -103. Let q(j) = 2*j + 22. Calculate the smallest common multiple of q(m) and a.
10
What is the common denominator of 3/8 and (-7)/((-84)/(-36)) + (-1640)/(-566)?
2264
Let q = 10145/4 + -2556. What is the common denominator of 63/268 and q?
268
Let r = -746 - -6691/9. Find the common denominator of r and (2/24)/((-2)/182).
36
Calculate the lowest common multiple of ((15/10)/(-1))/((-5)/100) and 30.
30
Let f(r) = -r**2 - 4*r + 4. Let x = -5 - -1. Let s be f(x). Calculate the common denominator of 266/(-42)*18/s and 57/7.
14
Let n = -4577 + -6442. Let q = n + 220439/20. What is the common denominator of q and -121/18?
180
Let x = -8245/8 - -1028. Let q = 459/8 + -58. Find the common denominator of q and x.
8
Let i be 1 - (-2 + 1) - (6 - -83). What is the common denominator of (i/(-18) + -2)*36/20 and -57/16?
80
Suppose 4*n = 5*r, -r = -4*r - 5*n. Let v be (13 - 12)*(r + -11). Let j = v + 16. Calculate the smallest common multiple of 1 and j.
5
Let l = 4451477/26682 + -5/4447. Let d = l + -166. Find the common denominator of -115/24 and d.
24
Calculate the common denominator of (7497/(-588))/(6/10) and 0/1 - 70/(-24).
12
What is the least common multiple of ((-30)/4)/((-6)/16) and 60?
60
Let d = -108 - -111. Suppose -2*n - 5*y = -26, -5*n = 2*y - 4*y - 36. What is the lowest common multiple of (d + 63/(-15))/(9/(-75)) and n?
40
Let o = 98 + -103. Let y = 27 - o. What is the lowest common multiple of y and 8?
32
Let s(a) = -a**2 + 8*a - 14. Let w be s(6). Let v be (2 - -1)*w/(-2). What is the common denominator of (v/36)/(5/21) and 59/6?
60
Let v be 4*12/32 - 234. Let g = v - -250. Calculate the common denominator of g and ((-65)/(-30))/((-6)/(-63)).
4
Let r(m) = 8 + 8*m - m**2 + 0*m**2 + 2*m**2. Let c = -144 + 150. What is the least common multiple of r(-8) and c?
24
Let o = -68/25 - -31/50. Let r = -123 - -117. Calculate the common denominator of (21/r + 4)/((-20)/(-168)) and o.
10
Let z = -43/2 + 221/10. What is the common denominator of z and 8/45?
45
Let v(j) = 14 + 2*j - 1 - j. Let g = 0 - -4. What is the smallest common multiple of v(-9) and g?
4
What is the lowest common multiple of (6/15)/((-24)/(-2880)) and 66?
528
Let m(v) = 2*v**3 - v + 4. Let f be m(3). Suppose f = 4*o + 3*a, -5*a - 2 + 3 = o. Suppose -o + 1 = -5*h. Calculate the least common multiple of 3 and h.
3
Suppose 3*v - 3 = -0*v. What is the lowest common multiple of 2 + 3 + 0 + 0/(-4) and v?
5
Let p(g) = -g**3 + 15*g**2 - 14*g + 19. Let n be p(14). Calculate the common denominator of 27/10 and n/(-133) + (-697)/70.
10
Let p be (70/7)/(2/(-4)). Let g = p + 26. Calculate the least common multiple of g and 10.
30
Let t = -95 + 115. Calculate the least common multiple of 58 and t.
580
Suppose 317 = 3*l - n, -3*n + 487 = 5*l - 18. Suppose 12*y - l - 40 = 0. Calculate the lowest common multiple of y and ((-14)/3)/(1/(-3)).
84
What is the common denominator of ((-182)/63)/(-2) - 4 and -41/9?
9
Suppose 4*y + 0*y - 8 = 0. Suppose 0*d + 43 = y*v + 5*d, -3*d - 30 = -5*v. What is the lowest common multiple of v and 24?
72
Let v = 7652/9 + -847. Suppose 4*m - 3*m = -571. Let x = -1744/3 - m. Calculate the common denominator of v and x.
9
Let u = 630 + -219. What is the common denominator of (119/(-374))/((-1)/5) and u/(-36)*1 + 2?
132
Suppose -3*y = -3*h + 51, -5*y = -h + 44 + 33. What is the smallest common multiple of 4 and (-5)/(5/y*3)?
20
Let l = -675259/30 - -22504. Calculate the common denominator of 18*(-9)/(-270) + (-322)/45 and l.
90
Let x = 1252 - 5083/4. What is the common denominator of -125/126 and x?
252
Let c(h) = 27*h**2 + 1. Suppose 5*r = 4*d + 116, 2*r - 2