e least common multiple of 2 and (-1)/4 + 231/s?
8
Suppose -2*d + 3 = -1. Let f = 5 + -3. What is the lowest common multiple of d and f?
2
Let z = 14 + -14. Suppose -8*f + 7*f + 6 = z. What is the smallest common multiple of 10 and f?
30
Let b = -13 + 9. What is the common denominator of -51/8 and (b/10)/((-4)/56)?
40
Let s = 419 + -5903/14. Let k = 1746 + -3393/2. Calculate the common denominator of s and k.
14
Suppose -3*m = 4*q + 4, -q + 5 - 23 = 5*m. Suppose -2*g - 50 = -4*o, -25 = -q*o - o - g. Calculate the least common multiple of o and 4.
20
Let i(f) = -f**3 - 9*f**2 - f - 7. Let k be (22/(-2) - -2) + 0. What is the least common multiple of i(k) and 12?
12
Find the common denominator of 13509/(-2128) + (-2)/(-7) and 53/14.
112
Let g(n) = -n**2 + 2*n - 3. Let t be g(3). Find the common denominator of t/40 + -1 - 2 and (-6)/21 + (-499)/140.
20
Suppose -f = 3*f - 8. Let x = 3 - f. What is the least common multiple of x and 11?
11
Let b = 514663/21594 + -1/3599. What is the common denominator of b and -91/2?
6
Let u(j) = -j**2 + 8*j - 12. Let b(o) = o**2 - 1. Let a(f) = 2*b(f) + u(f). What is the least common multiple of 20 and a(-10)?
60
Let x be 2/8*23678/(-1365). Let o be (-12)/15*(-1)/(-39). Let c = o + x. Find the common denominator of c and -9/20.
140
Let d = 1 + -3. Calculate the common denominator of (-4)/6 + (-490)/(-96) and (d/(-18))/(2/(-309)).
48
Let k be (-15)/(-2)*(-12)/(-18). Suppose -k*y + 20 = -y. Calculate the lowest common multiple of y and 6.
30
Let h be 3113/6 - (-4 + 1). Let c = 547 - h. Calculate the common denominator of c and (1/(-6))/((-4)/(-110)).
12
Let t = 39 - 35. What is the lowest common multiple of t and 18?
36
Let b = 0 + 8. Calculate the smallest common multiple of b and 10.
40
Let c = -2 + 32. What is the least common multiple of c and 22?
330
Let j = 17813/30 - 589. What is the common denominator of j and -67/33?
330
Let y be (2 - 4 - -6) + -35. Let t = 65 + y. Calculate the smallest common multiple of 4 and t.
68
What is the lowest common multiple of 6 and (5 - 4) + 4 + -4?
6
Let p = -88 - -90. Calculate the smallest common multiple of 22 and p.
22
Let n(t) = t**3 - t**2 + 2*t - 2. Let v be n(5). Suppose -v = -0*w - 4*w. Let u = w - 18. Calculate the lowest common multiple of 1 and u.
9
Let o be (-12 + 4)*(1 + 0). Let j be ((-4269396)/6592)/(2410/o). Let g = j + 2/24823. Find the common denominator of -31/18 and g.
180
Let j(z) = 2*z**2 - 8*z - 23. Let q(l) = -l**2 + 4*l + 12. Let c(y) = 4*j(y) + 7*q(y). Let i = 48 + -32. Calculate the smallest common multiple of c(6) and i.
16
Let w(t) = -469*t**3 - 2*t**2 + t. Let x be w(2). Let g = -60075/16 - x. What is the common denominator of g and 9/10?
80
Let l be 1 + (-7 - (-2)/2). Let o(g) = -g + 1. Let r be o(6). What is the smallest common multiple of 9 and 3/l*1*r?
9
Let d = -1273/7 - -37721/210. What is the common denominator of d and -139/18?
90
Let h(z) = 13 + z**2 - 14*z + 4*z + 0*z**2. Let a be h(9). Suppose 9 = a*k - k. What is the least common multiple of k and 10?
30
Suppose -2*u = -3*a - 25, 5*a - 3*a = -3*u - 21. Let r = 23 + a. What is the least common multiple of r and 22?
154
Calculate the smallest common multiple of 6*2*(-3)/(-6) and 18.
18
Suppose 2*w + 2*s + 2 = 0, 3*s + 5 = -w - 2. What is the least common multiple of w and 8?
8
Suppose -25 = -9*y + 4*y, -5*j - 3*y + 15 = 0. Calculate the common denominator of 17/(j/2 - 2) and 101/15 - (-1)/(-3).
10
Suppose 0 = 4*p - 27 + 3. Calculate the smallest common multiple of p and 4.
12
Let b(r) = 2*r**2 + 4*r + 4. What is the lowest common multiple of 6 and b(-3)?
30
Let l be 442/4 - 7/14. Suppose 2*f - 7*f = -l. Calculate the lowest common multiple of f and 16.
176
Suppose -6*o + o = 0. Let s be -1 - o - -17*3. Calculate the common denominator of 5/8 and 315/s - (1 - 4).
40
Suppose 2*p = 6, 2*o + 5*p - 9 - 14 = 0. Suppose 0*f = 2*f - 22. What is the smallest common multiple of o and f?
44
Suppose 7*k + 5 = 89. Calculate the smallest common multiple of k and (-2)/9 + 112/18.
12
Let c be 1*8*(-1)/2. Let a(p) = -p**3 - 3*p**2 - p + 4. Let r be a(c). Let y = 42 - r. What is the smallest common multiple of 22 and y?
198
Let d = 353/45 - 85/9. Calculate the common denominator of d and -58/5.
5
Let b(i) = i**2 + 14*i + 19. What is the smallest common multiple of (2/1)/(2/7) and b(-13)?
42
Let k be 8*5/((-40)/6). What is the smallest common multiple of (-2 + (-16)/k)*15 and 20?
20
Let z = -89113/18 - -4952. Calculate the common denominator of z and (-41)/287 + 383/(-112).
144
Suppose 5*u + 16 = 3*z, 2*u + 8 = 2*z - 0*z. Let h be -3 - (4 - 4 - 23). Suppose 0 = 6*b - b - h. Calculate the least common multiple of b and z.
4
Find the common denominator of (-484)/70 + (-2)/7 and (3/10)/((-9)/327).
10
Suppose -5*o + 27 = s + 9, 4*o - 6 = 2*s. Suppose 0*n - 5 = n, -14 = -a + o*n. Let x = a - -17. What is the lowest common multiple of 12 and x?
48
Let x(z) = z**3 - 3*z**2 + 4*z - 3. Let h be (-160)/12*(-3)/1. Suppose a = -3*a + h. What is the lowest common multiple of a and x(3)?
90
Let u(t) = -t**2 - 8*t + 4. Suppose 0 = 2*c + 6 + 10. Let f be u(c). What is the common denominator of -17/10 and (-86)/f*(-2)/(-3)?
30
Let g(t) be the third derivative of t**6/120 + 7*t**5/60 + 5*t**4/24 - t**3/3 - 3*t**2. What is the smallest common multiple of 4 and g(-6)?
4
Let i = 1612 + -6487/4. Let p = 32219 - 38566141/1197. Let q = 9920/1197 - p. What is the common denominator of i and q?
28
Calculate the common denominator of 50/3 and 3/12 + 1110/264.
33
Let a(u) = -u**2 - 5*u. Let m be a(-5). Let c = 4 + -6. Let v = m - c. What is the least common multiple of 14 and v?
14
Let c = 158083/19 + -8322. Calculate the common denominator of -47/9 and c.
171
Calculate the common denominator of (4/(-30))/(12/(-15)) and 74/21.
42
Let v(b) = 2*b - 20. Calculate the smallest common multiple of v(12) and 16.
16
Suppose 3*u + 60 = 5*j, 3*j + 5*u = -2*j + 60. What is the smallest common multiple of j and 18?
36
Suppose 5*b = -u - 0*u + 22, 0 = 4*u + 2*b + 2. Calculate the smallest common multiple of 12/(-42) - 153/(-21) and (-4)/((u - -2)/1).
28
Suppose -2*b - 86 = -2*i, -5*i = 3*b - 186 - 21. Suppose l - i = -2*l. Calculate the common denominator of l and -39/10.
10
Calculate the common denominator of (-1)/5 + 307/385 and -93/4.
308
Suppose 144 = 4*j + l, -3*l = -4*j + 86 + 42. Let a = 8/785 - 40892/7065. What is the common denominator of a and j?
9
Calculate the common denominator of 15/(1*4 - (0 - -150)) and 67/16.
1168
Suppose -42 = -4*r + 5*x, 5*r + 13 = x + 55. What is the smallest common multiple of 1 and r?
8
Let y be (-5)/(-15) + 165062/(-30504). Let t = -7/1271 + y. Find the common denominator of -17/22 and t.
132
Suppose 2*s - 6*s - 8 = 0. Let j(d) = d**2 - d - 2. Let q be j(4). Let l = s + q. What is the lowest common multiple of l and 12?
24
Let o(p) = -248*p**3 - p**2 + 2*p + 3. Let g be o(3). Let q = g + 147237/22. Let w = -484/21 + 2365/126. Find the common denominator of q and w.
198
Suppose 0*z = 2*z + 80. Let d be (-8)/z + 208/10. What is the common denominator of ((-14)/(-27))/((-28)/d) and 5/12?
36
Let v = 9 - 5. Suppose -3*p - 5*f = -p - 35, 0 = 2*p - 5*f - 25. What is the smallest common multiple of (-3)/p - 84/(-20) and v?
4
Let s be ((-2964)/60)/((-5)/((-250)/28)). Let f = 1477/4 + -1807/4. Let z = s - f. What is the common denominator of z and -52/11?
77
Let i = -321/7 + 375/7. Calculate the common denominator of -79/8 and i.
56
Let z(v) = 21*v + 15. Let r(g) = 0 + 2 - 5*g - 6. Let c(t) = 9*r(t) + 2*z(t). What is the least common multiple of 8 and c(-4)?
24
Let x = -16 - -21. What is the least common multiple of 7 and x?
35
Let k = -9 - -23. Let z be (-7 + -2)/3 - -7. Suppose z*q - 18 = q. What is the least common multiple of q and k?
42
Let l = -13 - -21. Let j = -34 + 40. Calculate the smallest common multiple of l and j.
24
What is the common denominator of (-1)/(-7) - (-1113)/784 and ((-1)/(-6))/(5/141)?
80
Let q be (-3)/27*-3*6. Let u(k) = q - 7*k + 2 + 2*k - k**2. What is the lowest common multiple of u(-5) and 10?
20
Let x = -43 + 31. Let k = 5/14 + -197/42. What is the common denominator of ((-1)/(-22))/((-2)/x) and k?
33
Let j = -145 - 1380. Calculate the common denominator of -73/8 and ((-1)/25)/(