 8. What is the least common multiple of t(16) and r(15)?
8
Let n be (4/6)/((-6)/(-9)). Suppose -28*i + 27*i = -7. Suppose i = u + n. Calculate the smallest common multiple of 10 and u.
30
Let p(z) = 2*z**2 - 7*z + 23. Let s be p(6). Find the common denominator of (s/(-52) + 1)*51 and -63/2.
52
Suppose 4*n = -12, -18*n + 14*n + 278 = 5*q. What is the smallest common multiple of 9 and q?
522
Calculate the common denominator of 125/114 and (-3)/(-30)*6/9 - 3.
570
Suppose 4*w - 60 = -5*c, -3*c + 1 = -w - 1. Suppose 7 = 8*a - 193. Suppose 0 = f - 2*b - 9, a = 5*f - b - 20. Calculate the lowest common multiple of w and f.
90
Suppose 0 = 4*g + 3*o - 17, 9 = 4*g + 2*o - 5. Suppose 2*i - 23 = -r + g*r, -3 = -3*r. Calculate the smallest common multiple of 6 and i.
12
Let z(x) = x**2 - 2*x + 1. Let t be (-1)/(-4) + 225/60. Let b be z(t). Find the common denominator of 57/7 and 12/3 + (-23)/b.
63
Let q = -247909/20 + 12400. What is the common denominator of q and ((-4)/2)/(20/47)?
20
Let u(s) be the second derivative of -s**3/6 + 6*s**2 - 7*s. What is the least common multiple of u(5) and 6?
42
Let k = -1715 + 10237/6. Calculate the common denominator of (-1639)/(-204) + 28/(-238) and k.
12
Let n be (2 - 4) + 167019/21860. Let k = -21/2186 - n. Calculate the common denominator of k and -37/8.
40
Suppose 376*h - 402*h + 1300 = 0. What is the least common multiple of 35 and h?
350
Suppose -o + 70 - 20 = 0. Let w = 62 - o. Calculate the least common multiple of w and 24.
24
Suppose 0 = 2*h - 3*n - 3, -8*h = -5*h + n - 21. Suppose -4*q + h*x + 19 = 3*x, 20 = 2*q + 2*x. Calculate the lowest common multiple of 8 and q.
56
Let a(l) = -8*l - 12. Let x be a(5). Let i be 105/(-4)*x/(-6). Let m = i + 692/3. Find the common denominator of m and 40/9.
18
Let h = -1/251 - -19337/2510. Find the common denominator of -43/22 and h.
110
Suppose 1 = f - 2. Let m be -43*91/f*27. Let t = m + 1056407/30. Find the common denominator of t and 33/14.
210
Let k = -3876061 - -133216345/34. Let a = -42073 + k. Let n = a + 3167/272. What is the common denominator of n and 41/22?
176
Let k = -47357/938 + -6/469. Calculate the common denominator of -44/5 and k.
10
Suppose x + 2*a + 95 = 0, 5*x - a = 4*x - 95. Let i = 53 + x. Let r = 513/14 + i. Find the common denominator of r and -41/18.
126
Suppose 0 = -3*j - 26 - 4. Find the common denominator of (-2)/(-117)*(j - 20) and -56/5.
195
Let v = 6/6857182841 + -6459198806825181/838839176939530. Let u = -2/12233 - v. Find the common denominator of ((-119)/4)/((-20)/8) and u.
10
Let h = -164/39 + -5/39. Let v = 10913/4 - 2728. What is the common denominator of v and h?
12
Let i = 3076 - -7614. Let l be 1*-2*941068/(-176). Let f = i - l. What is the common denominator of 53/2 and f?
22
Let f be 14/4 - (12/8 - 1). Suppose 3*x = 2*x + f*w + 6, -4*x + w = -35. Calculate the smallest common multiple of x and 11.
99
Let t(x) = -2*x**3 - 22*x**2 - 2*x + 22. What is the lowest common multiple of 24 and t(-11)?
264
Suppose -54 = -8*i + 42. Find the common denominator of -59/21 and (26/i)/((-30)/(-165)).
84
Suppose 4*r + 2*b - 210 = -3*b, -5*r + 252 = b. Let j = r + -32. What is the least common multiple of j and 6?
18
Calculate the common denominator of 1 - (1548/189 + -3) and 37/18.
126
Suppose 8*x - 5*i + 111 = 5*x, 0 = -i. What is the common denominator of x and 14?
1
Let y = -2138/9 + 12817/54. Find the common denominator of -61/27 and y.
54
Let p = 6186307/126 - 49097. Find the common denominator of p and 1058/180 - ((-188)/36 + 5).
630
Let b(g) = 15*g - 5. What is the smallest common multiple of b(1) and 18?
90
Let j = -469 + 484. Calculate the least common multiple of 72 and j.
360
Let v be ((-267)/30 - 5)*7969/4. Let k = -27694 - v. Calculate the common denominator of k and 121/24.
120
Let z be 5 + -3*(3 - 2). Let f be z/(-3) + 10/(-30). Let t = 5 + f. What is the smallest common multiple of 14 and t?
28
Calculate the common denominator of 19127/(-2170) - 4/14 and -2/11.
110
Let u(n) = 4*n**3 + 17*n**2 - 82*n + 10. Calculate the lowest common multiple of u(5) and 315.
1575
Let v(d) = -40*d + 32. What is the smallest common multiple of 20 and v(-2)?
560
Calculate the lowest common multiple of 2601 and (96/(-18) - -2)*(-48)/20.
20808
Suppose 3*m + 2 = -2*l, 3*l - 7 = 2*m - 23. Suppose -5*k - 1 = r, 0 = r + 3*k - 1 - 4. Let g = r - l. What is the lowest common multiple of g and 44?
396
Suppose -5*o + 55 = -4*d, 4*o - 40 = -o + d. Calculate the least common multiple of 13 and o.
91
Suppose -3*c - 23 - 52 = 0. Find the common denominator of 1/(-9)*c/3 and 40/9.
27
Calculate the least common multiple of 3 and (-48)/(-20)*(27 + -1 - -4).
72
What is the common denominator of (-9912)/(-714)*(-1)/(-16) and 71/8?
136
Let f be 10/(((-6)/4)/(9/(-12))). Find the common denominator of 35/8 and (-1676)/160 + (-2)/f.
8
Let v(r) = 9*r**2 - 3. Let j be v(-1). What is the least common multiple of (-13)/(-5) + j/15 and 3?
3
Let h(y) = y**2 + 2. Let i be h(-2). Suppose -11*f + 115 = -i*f. Suppose -1 = v - f. Calculate the lowest common multiple of 10 and v.
110
Let c = -6755/12 + 1115/2. What is the common denominator of (-376)/(-6580)*(-133)/(-8) and c?
60
Let a = -842/133 - -9/19. Let r be (-1 + 0)*3 + 0. Calculate the common denominator of (148/66)/(2/r) and a.
77
Suppose 651*t - 2 = 650*t. Calculate the smallest common multiple of 200 and t.
200
Let q = 615 - 498. Calculate the smallest common multiple of q and 65.
585
Let l = 4667 - 4647. Let g = 63 + -23. What is the lowest common multiple of g and l?
40
Suppose 5*m = 3*w - 5515, 3*w = m + 3*m + 5516. Suppose 0*g - g = -w. Let v = g - 29531/16. What is the common denominator of v and 17/18?
144
Let a = -2997 + 65913/22. Find the common denominator of a and (2/48)/((-34)/(-7412)).
132
Let g = 2053 - 41167/20. Find the common denominator of g and -9/70.
140
Suppose -5*h - 4 = -34. Let r = -3/311 + -28295/622. What is the common denominator of 1/1 - (-23)/h and r?
6
Let n = 72211/34812 - 45/967. What is the common denominator of 127/140 and n?
1260
Let n = 4 - -29. Suppose 5*g - 7 = n. Calculate the smallest common multiple of g and 12.
24
Let z = 19823/3112 - -2/389. Calculate the common denominator of z and 1 - 0 - (-210)/(-32).
16
What is the lowest common multiple of 3/(6042/(-1212) + 5) and 22?
2222
Calculate the common denominator of 0 + (-189)/(-60) - 1 and 3/(1350/(-283)) - (-12)/54.
300
Let y = -25 + 32. Let l(d) be the first derivative of 3*d**2/2 + 4. Calculate the lowest common multiple of l(5) and y.
105
Calculate the common denominator of 23/20 and 30/(-31)*-4*3/48.
620
Let k = 98 - 92. Let c = 24 + -12. Calculate the lowest common multiple of c and k.
12
Let k = 92/817 + 59789/143792. Calculate the common denominator of k and -41/10.
880
Suppose -2*k - 3 = -p + 2*k, p = -5*k + 12. Calculate the smallest common multiple of 16 and p.
112
Suppose 2 = k, -4*k + 42 = 5*v - 3*k. What is the lowest common multiple of (-60)/(-50)*25/3 and v?
40
Find the common denominator of 31/50 and 10/(-55) + 1438/8030.
3650
Suppose 52 = 4*i + 4*w - 9*w, -i - w + 22 = 0. What is the smallest common multiple of 33 and i?
198
Suppose 4*x + 5*d = 1755, 7*x - d = 4*x + 1321. Calculate the least common multiple of 35 and x.
3080
Let h = -3 - 8. Let t be 2/h*(-34169)/2. Let c = t + -3104. Calculate the common denominator of c and 53/8.
88
Let g be (-4)/(-8) - 10/3. Let c = 7/3 + g. Calculate the common denominator of 83/32 and c.
32
Let a = 6/709 - 67439/9926. What is the common denominator of -87/70 and a?
70
Let y be (-1)/((16/(-52))/(-4)). Suppose -24 = 2*r + 2*r. Let t = r - y. Calculate the lowest common multiple of 9 and t.
63
Let y(s) = -4*s - 74. Let o(v) = -v + 4. What is the lowest common multiple of y(-19) and o(3)?
2
Let h = -143 - -150. What is the lowest common multiple of h and 621?
4347
Suppose 2*o = -o + 12. Suppose -4*u = 3*h - 9*u - 32, -o*h + 3*u = -28. What is the lowest common multiple of 3 and h?
12
Let u(a) = 8*a - 43. What is the smallest common multiple of 66 and u(15)?
462
Suppose 15 = 4*b - 1. Calculate the common denominator of b - ((-585)/(-40) - 0) and 51/4.
8
Let z(j) be the second derivative of 89*j**3/6 + j**2/2 + 9*j. What is the least common multiple of 6 and z(1)?
90
Let f = 12034