). Calculate the smallest common multiple of 3 and q(k).
12
Suppose d + 3 = 0, -3*l + d = -2*l - 6. Let p be (-2)/8*2*(1 + -5). Suppose p*j - 20 = -l*j. What is the smallest common multiple of j and 10?
20
Calculate the common denominator of -54/7 and 3/(-5)*206/12.
70
Let q(f) = -16*f - 12*f + 3*f - 1 + 6*f. Suppose 0 = s + 3*b - 2, 2*s - 1 = 3*b + 3. Calculate the smallest common multiple of s and q(-1).
18
Let n be (-12)/40*38210/12. Let z = n - -968. Find the common denominator of (-2)/8 - 414/(-40) and z.
20
Let z = -64 - -75. Calculate the lowest common multiple of 5 and z.
55
Let q = -11385 - -216363/19. Calculate the common denominator of q and 24/11.
209
Let f(v) = -4*v**3 - 5 - 8*v + 0*v**2 + 3*v**3 - 7*v**2. Let q be f(-6). What is the lowest common multiple of 7 and (-2 - -1)/((-1)/q)?
7
Suppose -5*n + 5*h = -0*h - 105, -h - 57 = -3*n. What is the least common multiple of n and 36?
36
Let p(y) = -2*y**2 - 8*y - 5. Suppose 4*l = 3*k - 29, 0*l - 5*k = 5*l + 10. Let q be p(l). What is the least common multiple of 10 and 18/(5/(q/(-6)))?
90
Let s = -1891 - -18929/10. Calculate the common denominator of 288/35 - (-1)/5 and s.
70
Let j(o) = o**2 + 5. Let y be j(-5). Calculate the least common multiple of (2/3)/(4/y) and ((-6)/12)/(2/(-12)).
15
Let a be 2/(-4*3/18). Let p = 433 + -6059/14. Find the common denominator of a - (-3 - (-255)/12) and p.
28
Let b = -342/35 - -177/10. Let v = -384440207/184716 - -8/46179. Let i = -2071 - v. Calculate the common denominator of i and b.
28
What is the common denominator of 125/6 and (114/(-10))/(-2 + 1)?
30
Let d = 525481 + -75669805/144. Let c = d + 1/144. Find the common denominator of 5/16 and c.
16
Let l(b) = 7*b**2 - 1. Calculate the least common multiple of ((-1)/(-1))/(13/52) and l(-1).
12
Let v = 49289/10 + -4935. Find the common denominator of 9/22 and v.
110
Let b be (1 + (-6)/4)*14. Let a(o) = -3*o**2 + 9 + 2*o**2 - 8*o - 2. What is the smallest common multiple of 16 and a(b)?
112
Let y(n) = -10*n + 1. Suppose -4 - 2 = v. Let l be y(v). What is the common denominator of 101/8 and 2/(-2 - (-154)/l)?
16
Let l = -83/3 - -277/6. Find the common denominator of -8/9 and l.
18
Calculate the common denominator of ((-6)/(-4))/((-27)/(-28)) and -12/5.
45
Let i(y) = -y**2 - y + 6. Let q = -3 - -3. Let s be i(q). Calculate the common denominator of (5*25/(-2))/s and 91/18.
36
Suppose -c + 13*c = 96. Let m = 19 + 1. What is the least common multiple of c and m?
40
Let z = -7 - -12. Suppose 0 = z*c - 73 + 3. What is the lowest common multiple of 4 and c?
28
Let n = 10/4897 + -818099/146910. Calculate the common denominator of n and 139/24.
120
Suppose 53 = -x + 2*x. Suppose 0 = f - x + 7. What is the common denominator of f and -64/9?
9
Suppose s - w = 6, -s + 4*w + 6 = -0*w. Suppose -2*t = -2*c + 12, 1 = 2*t - 3. What is the lowest common multiple of c and s?
24
Let v(b) = b**3 + 5*b**2 + 3*b + 1. Let i be v(-4). Suppose i*c + 36 = 2*c. Let q = 30 + c. Calculate the least common multiple of 18 and q.
18
Let q = 9 + -9. Suppose q = -0*s + s - 10. Calculate the common denominator of 91/4 and (1/4)/(s/(-84)).
20
Let n = -99 + 431/4. Let h(w) = -31*w**3 - w**2 - w + 1. Let l be h(1). Calculate the common denominator of n and (-22)/l + 3/2.
16
Let s(u) = 5*u - 3. Let c(r) = -r**3 - 2*r**2 + 4*r + 4. Calculate the lowest common multiple of c(-3) and s(2).
7
Let h = 3/1025 + -80987/4100. What is the common denominator of h and 3/6 - 115/(-12)?
12
Let p(i) = -i**3 - 7*i**2 - 8*i - 7. Suppose 4*c - 16 = 3*c - 2*o, -3*c + o = -20. Suppose -5*u + 9*u = c. What is the lowest common multiple of u and p(-6)?
10
Let x = 115567/20 + -5774. What is the common denominator of x and -49/8?
40
Let f be (-679586)/(-79176) - (2 - 2). Let s = 1/9897 + f. Calculate the common denominator of s and 125/6*(-3)/(-10).
12
Let c(m) = 21*m**2 - 9*m + 9. Let s(f) = -5*f**2 + 2*f - 2. Let a(z) = -6*c(z) - 26*s(z). What is the least common multiple of a(2) and 20?
180
Let w(o) = -8*o - 1. Let a be w(-2). What is the smallest common multiple of (2/6)/(1/a) and 4?
20
Suppose -2*q = -7*q - 4*u + 158, 3*q - 93 = -3*u. Calculate the smallest common multiple of 22 and q.
374
Suppose 5*j + 6 = -9. Let b = 9 + j. Calculate the smallest common multiple of 3 and b.
6
Let c be (-5 - -2)*-1*1. Suppose 2*z + 4*a = a + 9, 3*a = -c*z + 15. What is the smallest common multiple of z and 4?
12
Let b be 1*((0 - 2) + -14). Let u = 221/88 + -29/88. What is the common denominator of ((-6)/b)/(9/(-438)) and u?
44
What is the common denominator of 142/(-6)*9/48 and (5/18)/(6/(-9))?
48
Let n be (-2)/4 - (-203)/86. Let r = n + -3607/344. Find the common denominator of -91/16 and r.
16
Let y = -3/13 + -243/130. What is the common denominator of y and 8/(-18)*438/(-16)?
30
Let b = -18235 + 7463. Let a = b - -236941/22. Find the common denominator of a and (-1)/(-2) + (-4)/14.
154
Calculate the common denominator of ((-1)/(-12))/((-85)/663) and -91/40.
40
Let x = 2994203823/506 - 5917403. Let r = x - -182/23. Calculate the common denominator of 13/2 and r.
22
Let v be 3486/52 + (-3)/6. Let h = v - 14685/208. Find the common denominator of h and 143/6.
48
Suppose 4*r + 5*q - 28 = 4*q, 4*r - 32 = -2*q. What is the least common multiple of 11 and r?
66
Suppose 0 = 4*l - b - 6, 4*l - 5*b + 4 = l. Find the common denominator of -5/11 and l/(-14)*(-1 - -40).
77
Suppose -y + 13 = -5*f, 3*y + 5*f - 22 = 17. Let u = 16 - y. What is the least common multiple of 7 and u?
21
Let b = -1 - -1. Let m = 4 + b. Calculate the least common multiple of m and (-10)/15*(-15)/2.
20
Let f = -4 - -19. Let q = f + -5. What is the lowest common multiple of 18 and q?
90
Suppose 12 = 4*j + 4*k, j + 0*j - 9 = 5*k. Let b = 1 - j. Calculate the least common multiple of 12 and (-22)/b + 6/9.
24
Let s(d) = d**2. Let h(p) = -p**2 + p + 4. Let k(j) = h(j) + 2*s(j). Let r = -1 + 1. What is the smallest common multiple of k(r) and 6?
12
Let a be -1 + -2*2/(-4). Suppose 4*i - i = a. Suppose -x + i*x = -5. What is the smallest common multiple of 1 and x?
5
Let z = -45245599/724404 - -41441/636. Let j = z - -4699661/558110. Let u = 1/49 - j. What is the common denominator of 26/9 and u?
90
Let q(t) be the first derivative of 13*t**2 - t - 3. Let m(b) = 25*b - 1. Let d(k) = -5*m(k) + 4*q(k). What is the smallest common multiple of d(-1) and 2?
22
Let n(s) = -s + 8. Let i be n(8). Suppose i = 7*l - 49 - 49. What is the smallest common multiple of 36 and l?
252
Suppose -4*p = -2 - 2. Let o be (-4 - -5)/(p/13). Find the common denominator of 0 + o/12*-7 and -79/18.
36
Let z = -155797/3694656 - -19/448. Let i = -294139/16494 - z. What is the common denominator of i and 19/3?
6
Let n(v) = -54*v**3 + v**2 - v + 1. Let g be n(1). Let a = 46 - g. Calculate the common denominator of (-2)/(-8) + a/(-20) and 49/2.
10
Suppose k = 4*k - u - 7, -3 = -2*k - u. What is the common denominator of 15/4 and (180/(-35))/(k/3)?
28
What is the common denominator of 123/10 and 2/5 + (-1182)/330?
110
Let i(z) = z + 15. Suppose 5*a - 32 = a. Calculate the lowest common multiple of i(-12) and a.
24
Let a = -5521 - -66169/12. Find the common denominator of a and ((-130)/4)/1 + 0.
12
Suppose 4*k + 45 = -s, 0 = s + 3 + 2. Let f = 187925/24648 + 2/3081. What is the common denominator of f and 1988/(-120) - 4/k?
24
Suppose -d = 2*s - 32 + 8, 4*s = -4*d + 108. Find the common denominator of (-4)/2 - (-249)/d and -9/8.
40
Let w = 18 - 16. What is the smallest common multiple of 16 and w?
16
Calculate the common denominator of 77/16 and 91/(-33)*(-18)/12.
176
Suppose 0 = 6*z - 29 - 55. What is the smallest common multiple of z and 22?
154
Let o be (-2)/(-8) + 171/(-12). Let a be ((-235)/1775)/(o/(-235)). Let j = a - 182/71. Calculate the common denominator of j and 85/4.
28
Let t be (-60)/(-8) + 1/2. Let r(l) = l**3 - 7*l**2 - 9*l + 11. Calculate the least common multiple of r(t) and 9.
9
Suppose 0 = 5*j + 5*v, -3*v - 10 = -1. Calculate the lowest common multiple of j and 4.
12
Let g(i) = -i**2 - 7*i + 16. Suppose 2*s = -2*o + 6, 3*s + 3 = o - 4. Calculate the least common multiple of g(-8) and o.
8
Find the common denominator of ((-103)/4)/((-45)/18) and -29/9.
90
Let o = -874421 + 9630535/11. Let j = -11023071/10186 + o. Let b = -3