common multiple of i/(30/27 + -1) and 6.
18
Let q(i) = -i + 5. Let h be q(4). What is the common denominator of 1 - (-3 + (-162)/(-21)) and (-1)/(((-7)/(-10))/h)?
7
Let l = 75 - 23. Let n(b) = b**3 + 5*b**2 - 6*b + 6. What is the least common multiple of l and n(-6)?
156
Suppose -5*t - 72 = -9*t. Suppose -3*d - t = -4*d. Calculate the lowest common multiple of d and 6.
18
Let o = -5345/4 - -1324. Let p(j) = 2*j**2 + 4*j + 6. Let s be p(-4). Let w = s - 115/3. Calculate the common denominator of o and w.
12
Let q = -1600/3 + 15709/30. Find the common denominator of q and -73/2.
10
Suppose 4*j = -4*q - 9 - 3, 5*q - 4*j = 30. Suppose 0 = 3*x - 44 + 158. Find the common denominator of ((-2)/15)/(q/320) and x.
3
Let y = -1 + 0. Let j = y + -1. Calculate the common denominator of -29/9 and j/7 + 838/(-56).
36
Let y(r) = r**2 - 8*r + 1. Find the common denominator of 9/11 and y(5).
11
Let f(c) = -2*c + 1. Let q be f(-2). Suppose 5*b - 7 = 3, q*b = v + 8. Calculate the smallest common multiple of 4 and v.
4
Let j(t) = -t**3 - 9*t**2 - 11*t + 3. Calculate the smallest common multiple of j(-8) and 24.
216
Let z be (-8)/(-1)*(-9)/4. What is the common denominator of ((-3)/(-12))/(10/(-372)) and ((-1)/(-11))/((-2)/z)?
110
Let j = 19 - -8. Calculate the least common multiple of j and 33.
297
Let r = -832 - -497. Let m = r + 1351/4. Calculate the common denominator of 79/8 and m.
8
Suppose -52 - 8 = -s. Suppose -2*g - s = -5*u, 25 = u + 4*u + 5*g. Calculate the least common multiple of u and 4.
20
Suppose 5*t = 5*j + 340, -5*j = -0*t - 2*t + 124. Let g(i) = -i**3 - 10*i**2 - 9*i + 3. Let q be g(-6). Find the common denominator of q/t*(-20)/3 and -35/8.
72
Let t = -1/158 - -515/237. Let j = 211/11 - 19. What is the common denominator of j and t?
66
Let z = -17 + 30. Suppose 0 = -3*p - 4*g + 50, 2*p - g - 2 = z. Calculate the smallest common multiple of 7 and p.
70
Suppose n + 25 = 5*t, 4*t = 3*n - 6*n + 20. Suppose -t*s + s + 4 = 0. What is the smallest common multiple of 6 and s?
6
Let n = 42 + -22. What is the smallest common multiple of n and 8?
40
Suppose 0 = -5*u + 3*u + 5*t - 24, -2*t - 118 = 5*u. Calculate the common denominator of (-3)/9 + 47/(-2) and u/16*3/(-2).
48
Let i(h) = h**3 + h**2 + 2. Let q be i(0). Suppose d = q*w - 8, 5*d = -2*w + w + 4. Calculate the least common multiple of ((-2)/w)/(3/(-54)) and 11.
99
Suppose 0 = 2*j - 4*q - 40, 3*j - 4*q - 68 = -6*q. What is the least common multiple of 12 and j?
132
Let r = -3 - -3. Suppose 2*q - g - 9 = r, 4*q - 37 = -5*g + 2. What is the lowest common multiple of ((-20)/7)/(q/(-21)) and 10?
10
Let r = -8907/431 + -1/1293. Calculate the common denominator of r and 143/6.
6
Let u = 6 - -14. Calculate the common denominator of ((-2)/18)/(u/1290) and -1 - 1/((-10)/(-21)).
30
Let i be (-17 - 1)/(-1) + -3. Suppose 0*u + 3*u = 5*b - 29, -3*b + u = -i. What is the least common multiple of b and 6?
12
Suppose -f + 2 = 3*y - 3*f, -f = -2. Suppose -19 = -3*m + 3*k - 4, m - 4*k - y = 0. Calculate the lowest common multiple of m and 1.
6
Let g = -161987/22 - -7365. What is the common denominator of 13/6 and g?
66
Suppose -l + 2 = -1. Let j = l + -4. Calculate the common denominator of -13/2 and 2 + j - (-207)/42.
14
Let k(l) = 4*l**2 - 4 - 2*l**3 - 4*l**2 + 2*l**2 + 3*l. Let r be k(3). Find the common denominator of -145/12 and (-6)/(-44)*r/(-3).
132
Suppose 67 = 5*h + 3*f, -5*f = 2*h - 3*h - 9. Let x(d) = -d**2 + 12*d. What is the smallest common multiple of x(h) and 10?
110
Let o(y) = 4*y**2 - 8*y + 4. Let m be o(6). Suppose 5*f = 2*g + 96, -3*f = 3*g + 34 - m. Calculate the lowest common multiple of f and 6.
60
Let n = -422462119/31773 + 678425/51. Let h = n - -34/89. Find the common denominator of 38/11 and h.
77
Suppose 0 = n + k - 0*k + 11, -5*n - 48 = -2*k. What is the common denominator of ((-145)/18)/(0 + 1) and n/8*270/125?
90
Suppose -5*m = -2*r + 4*r - 23, 18 = 3*r + 2*m. Suppose -32 = -r*j - 4. What is the common denominator of 67/9 and (-18)/(-6)*j/33?
99
Let s = 7/62 - -1124/341. Calculate the common denominator of -47/22 and s.
22
Suppose 0 = -v - 3 + 8. Let r = 7 - v. Calculate the smallest common multiple of 20 and r.
20
Let l = -12883 - -193157/15. Calculate the common denominator of l and 91/30.
30
Let d = 21517/10 + -2142. What is the common denominator of d and 0 + (5/1)/10?
10
Calculate the lowest common multiple of 18 and -2 + 3 + 1 + 14.
144
Let d = -76 - -71. Let o(n) = n**3 + 2*n**2 + 3*n + n + 4*n**2 + 3. What is the least common multiple of 10 and o(d)?
40
Let i(b) be the third derivative of b**4/24 + b**3/3 - 3*b**2. Let d be i(3). Calculate the common denominator of 17/(-5)*d/(-2) and -25/11.
22
Let g(p) = p**2 - 4*p + 6. Let m(h) = 2*h**2 - 2*h - 4. What is the least common multiple of m(3) and g(5)?
88
Calculate the least common multiple of 16 and (-350)/28*4/(-5).
80
Let o = 4415/288 + -375/32. What is the common denominator of -69/4 and o?
36
Let g = -2954/5 - -584. Find the common denominator of g and 70/9.
45
Suppose 0 = 4*i - t + 707 + 2026, -i - t = 682. Let v = -4095092021/5997060 + -20/299853. Let r = v - i. Find the common denominator of 97/8 and r.
40
What is the common denominator of 109/6 and 5/7 + 2/(-4)?
42
Let n be (1 - 0) + 2 - -1. What is the common denominator of (-1821)/54 - n/(-18) and 93/8?
8
Let w = -40 + 54. What is the smallest common multiple of w and 1?
14
What is the common denominator of 3/(45/(-86))*(-63)/210 and -127/30?
150
Let m(a) = -a**3 - 4*a**2 + 3*a - 6. Calculate the smallest common multiple of m(-5) and 12.
12
Let d(l) = 3*l - 3. Let p be d(3). Let w = -1931 - -15417/8. Calculate the common denominator of w and (-6)/(-3) + 113/p.
24
Let r = 32/21 + -13/6. Let o = 6925/26228 + -23/79. Let t = o - -6031/498. What is the common denominator of t and r?
84
What is the common denominator of 325/(-125)*((-18)/(-4))/3 and 59/20?
20
Let o(p) = 3*p - 1. Let g be o(2). Suppose -3*q - 20 = -g*q. Let a = -30 + 38. Calculate the least common multiple of a and q.
40
Let y = 3/25 + 1507/150. Find the common denominator of y and (3/2)/(138/(-161)).
12
Let o(r) = -3*r + 9. Let t be o(7). Let w = 22 + t. What is the lowest common multiple of w and 7?
70
Suppose 3*s - 4*s + 2 = 0. Suppose -s*b = -2*q + 33 - 3, 0 = -5*q + b + 87. Calculate the lowest common multiple of 2 and q.
18
Let r = 20 + -13. Let a(y) be the first derivative of y**4/4 - 7*y**3/3 + 3*y**2/2 - 5*y + 3. What is the smallest common multiple of 12 and a(r)?
48
Let t(u) = u**3 + u + 2. Calculate the smallest common multiple of 26 and t(0).
26
Suppose 4*f + 3 = 19. Let o = -4 + 6. What is the lowest common multiple of o/5 + (-8)/(-5) and f?
4
Let d = 543 + -7629/14. Let g be 3 + -1 + -2 + 0. What is the common denominator of g + 3/(-12)*-13 and d?
28
Suppose -q + 2 = q. What is the smallest common multiple of 1 and 19/2 - q/(-2)?
10
Let i(x) = -x**3 - 4*x**2 + 7*x + 9. Let k be i(-5). Calculate the smallest common multiple of 16 and 2 + k/(2/(-36)).
80
What is the smallest common multiple of 6 and -4*(4/10)/(12/(-165))?
66
Suppose -2*b - w = -6*w - 175, 2*b - 179 = w. Let d = -369 + b. Let m = d + 2229/8. What is the common denominator of m and 9/14?
56
Let w = -12 - -14. Let v be (-4 + 3)/(1/(-2)). Suppose f = 2*g - 3*f - 24, 0 = -5*g - v*f + 48. What is the least common multiple of w and g?
10
Let j = 2/401 + 16431/2005. Calculate the common denominator of (-1)/((-18)/75) + -2 and j.
30
Let k = -18 - -21. Suppose -4*d + 2*d = -6. What is the smallest common multiple of d and k?
3
Let o = 33 - 14. Let x = 35 - o. What is the smallest common multiple of x and 2?
16
Suppose -5*o + 98 = -2*z, 5 = 4*z + 1. Suppose 2*r = -0*r + o. Calculate the least common multiple of r and 22.
110
Let l(q) = q**3 - 5*q**2 + 2*q - 2. Suppose -3*s + 130 = 10. Suppose f = -f + s. Calculate the least common multiple of f and l(5).
40
Let t(p) = 34*p**3 - p**2 - p + 1. Let i be t(1). Calculate the common denominator of -143/6 and (3 + i/6)/(-5).
30
Let n be 3/(-4) - (-54)/(-24). Let u = -2 - n. What is the least common multiple of u and 10?
10
Suppose m + 125 = 3*g, m + 3*m = 3*g - 140. Suppose -5*o - 30 = -3*t, 5*o - g = 2*t - 6*t. Calculate the least common multiple of t and 8.
40
Suppose -3*o - 2*g = -18, 0*o 