
10
Let q(s) = -s + 8. Let y be q(4). Calculate the lowest common multiple of 8 and (y/(-3))/(30/(-225)).
40
Let l = 7919/1690 - -70/169. What is the common denominator of l and 85/2?
10
Let h = 1 - -3. Let o be 1/h + 1/(-4). What is the common denominator of (o + 1/7)*13 and 10/3?
21
Suppose -f = -2*n + 10, 0 = 5*n - 16 - 9. Let h(a) be the first derivative of a**2/2 + 3*a - 1. Calculate the smallest common multiple of 5 and h(f).
15
Let g(z) = -13176*z**3 + 2*z**2 - z. Let m be g(1). Let w be 0 - ((-289933)/22 + 1). Let r = w + m. Calculate the common denominator of -23/22 and r.
22
Suppose -5*v + v = -48. Let s be (v/(-3))/(2 - 1). Find the common denominator of 2/s*134/12 and 87/8.
24
Let w = 4 - -1. Calculate the lowest common multiple of w and 2.
10
Suppose -x - 2*x + 21 = 0. What is the smallest common multiple of 1 and x?
7
Suppose 0 = 5*r - 15, -4*r + 24 = 2*z - 0*r. Suppose z*t = 7*t - 26. What is the smallest common multiple of 18 and t?
234
Suppose 2*r - 7*r = -40. Let i be -2*1*68/(-8). Suppose -4*k + 3*b = -i, 5*k + b = -22 + 67. What is the least common multiple of r and k?
8
Let t be (-177)/282*(-50)/4. Let n = t + 10/141. Let h = 7777/340 - 354/17. What is the common denominator of h and n?
60
Suppose 0 = -0*v + 2*v + 4*p - 18, -2*v + 27 = p. Let s = v + -3. Calculate the lowest common multiple of 16 and s.
48
Let b = 16 - 30. What is the common denominator of -56/9 and (-1)/15*4235/b?
18
Let j(y) = -8*y**3 + 17*y**2 + 5*y - 12. Let r be j(8). Let q = -1168307/4 + 289078. Let g = q - r. Find the common denominator of 97/16 and g.
16
Let f(k) = -k**2 + k + 4. Let v be f(0). Suppose v*w - 120 = -i, -i + 3*w - w + 90 = 0. Calculate the common denominator of 5/18 and 3*-1*i/168.
126
Let l be 8/(-2)*7/(-14). Suppose -l*p + 10 = -p. Calculate the least common multiple of p and 4.
20
Let m = 246631/18 - 13709. Suppose -5*x + 904 = 4*s, 194 = x - 5*s - 10. Find the common denominator of x/(-80) + (-1 - -5) and m.
90
Suppose -i - 2*p + 21 = 0, 4*p + 91 = 5*i - 28. Suppose -i + 7 = k + 2*v, -3*v + 67 = -2*k. Calculate the common denominator of (159/60 - 3)*k and -57/16.
80
Let i be -2 + (18/3)/3. Find the common denominator of -67/12 and ((-291)/(-15))/(2 - i).
60
Suppose 24 = 5*j - 6. What is the smallest common multiple of 9 and j?
18
Let d = -1/174 + -247/2436. Calculate the common denominator of d and -64/3.
84
Let i(a) = -a**3 - 3*a - 4. Calculate the least common multiple of 46 and i(-2).
230
Suppose 5*b + 0*b + 35 = 5*f, 0 = f - 5*b - 15. Suppose -1 - 10 = -f*t + 3*s, -3*s + 25 = 4*t. What is the least common multiple of 10 and t?
20
Let c(g) = 32*g**2 + 1. What is the lowest common multiple of c(1) and 12?
132
Let t = -141/28 - -114/7. Find the common denominator of -83/6 and t.
12
Let l = -539/10 - -1619/35. Find the common denominator of l and 13/12.
84
Let d = -6820/153 - -822/17. Find the common denominator of d and -31/6.
18
What is the lowest common multiple of (-3)/(-6) - 65/(-10) and 7?
7
Let j(t) = -t**2 - t + 2. Let q be j(0). Let f(k) = k**2 + k + 8. What is the smallest common multiple of f(0) and q/(3 - (-32)/(-11))?
88
Let s = 19 + -5. Calculate the lowest common multiple of s and (8/(-6) + 2)*6.
28
Let j = -2097 - -6227/3. Calculate the common denominator of 73/10 and j.
30
Suppose 0 = -4*x + 9 + 23. Calculate the lowest common multiple of 1 and x.
8
Suppose 4*o + 20 = 4*d, 4*d + 0*d - 20 = 3*o. Suppose h = -d*h + 48. What is the least common multiple of 10 and h?
40
Suppose 0 = 3*i - 8*i + 20. Let m = 0 + 1. Calculate the common denominator of -121/6 and m/i - (-1535)/(-180).
18
Suppose -4*i + 20 = 4*a, -6*a + 15 = -3*a - 2*i. Suppose -4*k - 11 = -6*k - 3*z, a = 5*z. What is the least common multiple of 7 and k?
28
Let j(x) = x**2 + 8*x + 10. Calculate the smallest common multiple of 44 and j(0).
220
Let p be (-4)/(-10) + (-29751)/2490. Let g = p - -4/83. Calculate the common denominator of 188/(-45) + 6/15 and g.
18
Suppose -2*p = -3 - 5. Suppose 3*l = -25 + 16. What is the smallest common multiple of 12 and l/p - (-150)/8?
36
Suppose 25 = 5*z, 4*u - z + 9 = -0*u. Let y be (u + 0)/((-1)/1). What is the least common multiple of 6 and (-2)/y + 0 + 22?
60
Suppose -4 = -4*n, 4*q + 22 = 6*q - 2*n. What is the lowest common multiple of 3 and q?
12
Suppose -2*l + 5*m + 15 = 0, 6 = -l - 4*m + 20. Let o = -17 - -25. Calculate the lowest common multiple of l and o.
40
Let k = 2/85 + -1789/170. What is the common denominator of k and 15/(-18)*(-45)/(-4)?
8
Suppose 2*g = 2*t - g + 12, -1 = 3*t + 4*g. Let m be 27/12*1*-4. What is the common denominator of 57/8 and (t/20)/(m/678)?
40
Let f = -20 + 28. Suppose -4 = 4*y - g, f*g - 20 = 3*g. Suppose -n + 4 + 2 = y. What is the smallest common multiple of 10 and n?
30
Let v(j) = -2*j - 6. Calculate the smallest common multiple of v(-9) and 26.
156
Suppose -7*f - 15 = -10*f. Calculate the lowest common multiple of 3 and f.
15
Let d be 2/7 - 2149762/529074. Let o = -1/4199 + d. Let v = 15799/6 + -2657. What is the common denominator of v and o?
18
Suppose -2*r = -6, -4*r + 25 = 4*h - 27. Calculate the lowest common multiple of h and 8.
40
Let w = 64 + -48. What is the lowest common multiple of w and 18?
144
What is the common denominator of 0 and (-5)/10*194/(-10)?
10
Let o = -46 + 68. Let s(r) = -4*r - 12. Calculate the least common multiple of o and s(-6).
132
Calculate the smallest common multiple of (-2)/(-5) + (-68)/(-5) and 16.
112
Let z(c) = 498*c**2 + 4*c + 3. Let l be z(4). Let i = l - 63811/8. Calculate the common denominator of 7 and i.
8
What is the common denominator of -25/2 and 39/(-42)*-21*5/(-150)?
20
Let h(p) = -4*p + 42. Calculate the lowest common multiple of h(10) and 22.
22
Suppose h - 3*q = -3*h + 79, 2*h + 3*q - 53 = 0. Calculate the least common multiple of ((-4)/(-5))/(33/15 - 2) and h.
44
Let v be 4*427 - (-1 - 1). Calculate the common denominator of (-1729)/v + (-2)/(-5) and 31/22.
198
Let w = 51 + -29. What is the least common multiple of 18 and w?
198
Calculate the common denominator of -2 + 139/16 - 1 and -109/20.
80
Let k(w) be the second derivative of w**4/3 - w**3/6 - w. Let b be k(1). Let c(a) = -a**3 + 5*a**2 - 3*a - 1. What is the least common multiple of c(b) and 7?
56
Let a = -6 + 26. Suppose i + 4*i - a = 0. Calculate the smallest common multiple of i and 10.
20
Let i(n) = n - 4. Let k be i(5). Find the common denominator of k*(-39)/54 + -3 and 79/2.
18
Suppose 4*w - 58 = 14. Calculate the lowest common multiple of 8 and w.
72
Let b(l) = l**3 + 7*l**2 - 7*l + 12. What is the least common multiple of b(-8) and 23?
92
Let z(i) = -2*i**3 + 2. Calculate the lowest common multiple of z(-2) and 22.
198
Let z(v) = 3*v - 3. Let s be z(6). Let l(b) = b**2 + 10*b + 4. Let x be l(-5). What is the lowest common multiple of ((-10)/s)/(2/x) and 4?
28
Suppose 0 = 3*w - 45 - 12. Let b = -1 + w. What is the lowest common multiple of b and 12?
36
Let v = -17 - -21. Suppose v*s - 3 - 20 = -3*z, 0 = -5*s - 5. What is the smallest common multiple of 3 and z?
9
Suppose 3*v - 11 - 196 = 0. Let k = v + -49. Calculate the smallest common multiple of k and 10.
20
Let b = 116 + -77. What is the smallest common multiple of b and 30?
390
Suppose -3 = -l + 1. Suppose 2*b + 0 - 24 = 0. Suppose 2*k = -2*k + b. What is the lowest common multiple of k and l?
12
Suppose -4*h - n = -68, 3*h - 5*n = 7*h - 84. Calculate the common denominator of (-2)/(-4) + (-59)/8 and -2 + 1 - 58/h.
8
Suppose 5*b = 5*h + 3*b + 45, h + 9 = -2*b. Find the common denominator of ((-45)/26)/(h/12) and 55/4.
52
Suppose -7*o - 4*d + 84 = -3*o, -2*d - 48 = -3*o. What is the common denominator of ((-15)/4)/(12/o) and -20/7?
56
Let d = 5 - -2. Suppose y = 4*y - 6. Suppose -4*m - 3*v + 64 = y*v, 2*m = -2*v + 30. Calculate the smallest common multiple of m and d.
77
Suppose -f = 3*u - 39, 4*f = -4*u + 2*u + 166. Let g = f + -18. What is the smallest common multiple of 20 and g?
120
Let u be 1/(-14)*(-60)/(-965). Let b = u - 193121/16212. Calculate the common denominator of 43/4 and b.
12
Let g = -268 + 158. Calculate the common denominator of (g/(-1) + -3)/(-6) and -41/5.
30
Suppose -2*r - 2*m = -6, -4*r + m + 57 = -4*m. Let x(z) = -z**3 + 9*z**2 - 8*z + 3. Calculate the smallest common multiple of x(r