 + h/(-6).
3
Find the common denominator of 87/8 and (-474)/16*7/(-42).
16
Let y(g) = -g**3 + 12*g**2. Let p be y(12). Suppose 2*f - 8 - 12 = p. What is the least common multiple of f and 22?
110
Let r be -1 + -1 + 11 + -3. Let t(q) = q**3 - 6*q**2 + 3*q - 9. Let b = -6 - -12. What is the smallest common multiple of b and t(r)?
18
Suppose 0 = -u + 4 - 0. Suppose 3*p - p - u*a = 20, 5*p + 3*a + 2 = 0. Calculate the lowest common multiple of 8 and p.
8
Let y = -12 - -5. Let h be -5*(y/(-5) + -1). What is the common denominator of 9/8 and ((-2)/(-6))/(h/15)?
8
Let c = -21 + 24. Calculate the smallest common multiple of 11 and c.
33
Let s be (-109)/(-5) - 1/(-5). Suppose 0 = 4*r - 2 - s. Suppose o = 5*o - 40. What is the lowest common multiple of o and r?
30
Suppose w = 5*w - 676. Suppose 0 = 3*n + 628 - w. What is the common denominator of n/4*(-4)/(-6) and -49/6?
6
Let d(g) = 2*g**2 + 7*g - 7. Let n be d(-6). Let l = -1 + n. Let h(i) = i**3 + 7*i**2 + 6*i + 8. What is the least common multiple of h(-6) and l?
88
Let r = -4155/56 - -466/7. Let b = 1/70195322 + 12346760479553/701953220. Let x = -17593 + b. What is the common denominator of r and x?
40
Suppose 1 = 2*u + 7. Let q be ((-2)/(-1) - 1) + u. Find the common denominator of 81/2 and q/(-3) + (-402)/36.
2
Let t = 58 + -47. Find the common denominator of t and 58/3.
3
Let y = 8297/9 + -920. Find the common denominator of y and 1*3*(-59)/15.
45
Let a be (4/(-6))/((-1)/45). Suppose 7*p - 4*p = a. Calculate the lowest common multiple of 32 and p.
160
Let n be ((-2)/(-4))/(5/(-120)). Let c = n - -26. What is the common denominator of (-9)/(-3)*19/c and 81/10?
70
Let d(c) = c**3 + 6*c**2 - 5*c - 6. Let y be d(-5). Suppose -4*s = s - 40. Calculate the smallest common multiple of (15/(-10))/((-3)/y) and s.
88
Let l be 22 + (-2 - (-3 - -1)). Suppose -5*o + 0 + 2 = f, l = 3*f - o. Calculate the lowest common multiple of f and 7.
7
Suppose -5*p + 52 = 4*r, 0 = 5*p - 2*r - 29 - 35. Find the common denominator of (-370)/72 + (-3)/p and (-5)/(-10)*109/10.
180
Suppose 3*x + 3*k - 64 = -2*x, x = 4*k - 1. Calculate the lowest common multiple of x and 47.
517
What is the least common multiple of 5 and (-2)/1*-3 - -4?
10
Let v = -6 + 9. What is the least common multiple of 3 and v?
3
Suppose 10 + 6 = 4*r. Suppose 0 = -0*j - 4*j + f + 90, 2*j = 4*f + 52. Calculate the lowest common multiple of 194/j - (-2)/11 and r.
36
Let k(n) = 2*n**3 + n - n**2 + 14 - n**3 + 2*n**2. Calculate the smallest common multiple of 18 and k(0).
126
Let i = -60362/29513 - 1/5366. Let m = -27029/12 - -2262. Calculate the common denominator of i and m.
132
Suppose -5*t + f = 960, -5*f = -2*f. Let i = 4893/790 - 39/79. Calculate the common denominator of -1 + t/(-21) + 0 and i.
70
Find the common denominator of ((-12)/10)/((-5)/(-45)) and -8/9.
45
Suppose -16 - 19 = -5*c. What is the least common multiple of 3 and c?
21
Let v be (-257)/478 - 3/(-6). Let k = v - -23841/4780. Let l = 7035/8 + -63511/72. Calculate the common denominator of k and l.
180
Suppose -d = -0*d + 1. Let j(o) = -o**3 - o + 2. Let z be j(0). Calculate the smallest common multiple of 5/z*(3 + d) and 2.
10
Let b be ((-39)/9 + 4)*0. Let q be 6*(-6)/(-4) + 2. Suppose 0*v + v - q = b. Calculate the smallest common multiple of v and 10.
110
Suppose 4*u = 6*u - 5468. Let f = u - 16339/6. What is the common denominator of 1 + -3 - (-9)/(-20) and f?
60
Let p(s) = s. Let z be p(3). What is the common denominator of 1/((-16)/z)*-10 and -23/3?
24
Let t(f) = -f**3 - 5*f**2 - 6*f - 2. Let r(w) be the first derivative of -w**2 - 5*w - 4. Calculate the least common multiple of r(-7) and t(-4).
18
Let y be (1 - 0) + (12 - 9). Suppose 6*c - 12 = -2*x + 3*c, y*x + c - 34 = 0. What is the least common multiple of x and 2?
18
Let j(u) be the third derivative of u**6/120 - u**5/12 - u**4/6 + 4*u**3/3 + 2*u**2. Calculate the least common multiple of j(6) and 18.
180
Find the common denominator of 12/7 and (-9)/(-15) + 509/(-40).
56
Let g be (2 + -5)*1*7. What is the common denominator of ((-3)/(-11))/(6/g) and -111/14?
154
Let y = 31 + -17. Calculate the least common multiple of y and 22.
154
Suppose 1817 = -3*y - 7117. Let q = y - -23923/8. What is the common denominator of 35/4 and q?
8
Calculate the common denominator of 73/20 and ((-178)/2)/(-10 + -2).
60
Suppose 7 = 3*s - 11. What is the common denominator of (s/(-16))/((-9)/(-42)) and (-135)/2*(-3)/(-120)?
16
Let s be (1/2)/((-3)/(-6)). Calculate the common denominator of 71/10 and 68/48 + s/(-2).
60
Let n = 19/64 - 961/3264. Let i = -1735/408 + n. Calculate the common denominator of -3/7 and i.
28
Let x(j) be the first derivative of -j**4/4 + 5*j**3/3 - 2*j + 2. Let m be x(3). Suppose -19 = -5*v + m. What is the lowest common multiple of 2 and v?
14
Let w = -110 - -64. Let v = -28 - w. What is the lowest common multiple of 10 and v?
90
Let c = -414/19 + 5907/190. Find the common denominator of (-2 - 1) + 78/11 and c.
110
Calculate the common denominator of -17/22 and (54/63)/(20/21).
110
Suppose 2*z = 2 + 42. Calculate the lowest common multiple of z and 58.
638
Suppose 7*s - 2*s = 10. Let x = -1374 + 8345/6. What is the common denominator of (s + (-63)/6)/3 and x?
6
Let s = -6627869/75 - -88381. Let f = -1/75 + s. Find the common denominator of 6/7 and f.
35
Let t = -477347/82502 + 1/5893. Calculate the common denominator of t and -117/10.
70
Let j = 26699/6 + -4435. Find the common denominator of 25/24 and j.
24
Let b(i) = -i**3 + 5*i**2 + 2*i - 6. Let o = -4 - -8. Calculate the smallest common multiple of 22 and b(o).
198
Let k = 21015 - 231003/11. Let j = -2129/220 + k. What is the common denominator of j and 31/6?
60
Calculate the common denominator of (-45)/(-105)*(-1)/2 and 87/2.
14
Suppose 10 = -c + 6*c. Calculate the least common multiple of c and 11.
22
What is the common denominator of (39/9)/((-40)/(-8)) and 71/18?
90
Let j(t) be the first derivative of 0*t**2 + 0*t**3 - 1/4*t**4 + 6*t + 1. Calculate the lowest common multiple of j(0) and 22.
66
Suppose -2*i = -v + 12, 3*v = -2*i + 64 + 12. What is the least common multiple of 10 and v?
110
Calculate the common denominator of 67/4 and 68/(-360)*(-4)/(-2).
180
Let g = 750217/60990 - 4/6099. What is the common denominator of g and -93/4?
20
Let r = -37 + 61. Suppose -y + r = 2*y. Calculate the smallest common multiple of y and 16.
16
Let v = 1907 + -38093/20. Find the common denominator of 29/26 and v.
260
Let d = -11 - -13. Suppose -2*k + 24 = d. Calculate the lowest common multiple of 11 and k.
11
Suppose 2*t + 41 = 5*g, g - 17 = 4*t + 38. Let z = 29 + t. Let a(h) = -h**3 + 5*h**2 + 7*h + 4. Calculate the lowest common multiple of z and a(6).
80
Suppose p + 0*p + 9 = 0. Let i = 15 + p. Find the common denominator of 61/2 and ((-9)/12)/(i/316).
2
Calculate the common denominator of -13/3 and (-240)/36*16/(-30).
9
Let b be (48/2)/(-3) + 1. Let v = b - -12. What is the lowest common multiple of v and 1?
5
Let z be (-483)/(-198) - (-4)/(-6). Let c = -102/11 + z. What is the common denominator of c and -97/4?
4
Let n = 3 - 1. Let h = n + -5. Let f(l) = l**2 + 2*l + 4. Calculate the least common multiple of f(h) and 1.
7
Suppose 0 = -s + 42 + 30. Suppose -v - s = 3*v. Calculate the least common multiple of 3 and 1*3*(-66)/v.
33
Let b = 2 - -1. Calculate the lowest common multiple of (-4)/6*(b - 18) and 3 - (1 + -4 - -2).
20
Let p = -1957/63 + 403/14. Calculate the common denominator of p and -17/28.
252
Suppose -4*w + 7*w = -21. Calculate the common denominator of ((-27)/(-12))/(w/24) and 19/3.
21
Suppose 0 = -2*f - f - 36. Let g = -2 - f. What is the least common multiple of g and 12?
60
Let p be (15/(-17590))/(6/16). Let v = -61629/28144 - p. What is the common denominator of v and 81/16?
16
Let p(b) = -4*b**2 - 5*b + 3. Suppose 2*d = 5*u + 2, 3*u - 2 = 3*d - 2*u. Let o be p(d). Let k = o + 63. Calculate the least common multiple of 18 and k.
198
Let y be ((-5123)/(-4))/((-4)/(-4)). Let w = y + -1264. Let x = -32299/12 + 2694. Calculate the common denominator of x and w.
12
Let n = 0 + -2. What is the common denominator of ((-44)/(-8))/(n/(-5)) and 121/30 - (-2)/3?
20
Let m = -4507/4 - -1115. Calculate the common denominator of m and -101/32.
32
Suppose k = 2, 0 = 2*x