+ 0. Suppose -12*z + 4 = -10*z. Calculate the lowest common multiple of z and f.
2
Let i be 7932285/18*1/30. Let j = i + -14700. What is the common denominator of -29/16 and j?
48
Suppose 3*f - 27 = 4*w - 7*w, -w - 3*f = -9. What is the lowest common multiple of (-1 + 2/4)*(-14 + 0) and w?
63
Let x(y) = -y**3 - 7*y**2 + 2. Let o be x(-7). Suppose 0 = -l + o*l. Find the common denominator of 57/2 and (-85)/(-4) + -1 + l.
4
Let c = 54 + -32. Calculate the lowest common multiple of c and 2.
22
Let k be 0*2/(-1*2). Suppose k = -d + 14. What is the smallest common multiple of d and 6?
42
Let z(k) = k + 9. Let w be z(-5). What is the lowest common multiple of w/14 + (-52)/(-14) and 40?
40
Let y = 16/23 + 1979/230. What is the common denominator of -5/11 and y?
110
What is the common denominator of -33/4 and (1/4)/(24/(-136))?
12
Suppose -16 = -a - 3*l, -2*a - 48 = -5*a + l. Let y = -2 - -8. What is the lowest common multiple of a and y?
48
Suppose 9 = -4*o - 7. Calculate the common denominator of o/(-10) - (-751)/(-90) and 51/(-340)*68/(-6).
90
Let r = -76 + 108. Calculate the lowest common multiple of 6 and r.
96
Let n = 53 - 32. Calculate the least common multiple of 12 and n.
84
Suppose 0 = 5*a + a - 18. Suppose 4*j = a*u - 2*u + 61, 3*j = u + 45. Suppose 18 = 3*h - 0. What is the smallest common multiple of j and h?
48
Let p be (0 - 0) + 13 + -1. Let u = p - 4. Find the common denominator of 2/u - 717/(-36) and -20.
6
Suppose 2*w = -8*w + 980. What is the lowest common multiple of 16 and w?
784
Suppose 0 = 3*d + 2*d + 5, -2*d = 2*u + 6. Let c(y) = y**2 + 7*y + 7. Calculate the least common multiple of (u + 3)*0 + 11 and c(-6).
11
Suppose -31*y + 32*y - 2 = 0. Suppose -2*s + 36 = 2*s + 4*f, 10 = -2*f. Calculate the smallest common multiple of s and y.
14
Let a be 0 + 0 + 0/1. Suppose a = z - 12 + 2. Find the common denominator of ((-8)/6)/(z/87) and -81/10.
10
Find the common denominator of 89/5*10/(-12) and 46/345 + (-218)/(-40).
12
Suppose 72 - 2 = 7*c. Suppose -24 = -3*a + 2*i, -4*i - 9 = 3. What is the lowest common multiple of c and a?
30
Let s = 2/45 + -284/315. Calculate the common denominator of s and -14/9.
63
Let x = 39007/9 + -4339. Find the common denominator of x and 59/7.
63
Suppose -3*c = -29 + 107. What is the common denominator of -45/7 and ((-18)/(-42))/((-2)/c)?
7
Suppose -k = 4*k - 5*t - 2325, 4*t = 3*k - 1392. What is the common denominator of 6/(-39) + (-1124)/k and -70/3?
9
Let g(y) = 6*y - 9. Let k be g(-7). Let r = 21 + k. Let v = r - -42. What is the smallest common multiple of 22 and v?
132
Let t = -270/29 - -2307/145. Calculate the common denominator of 93/10 and t.
10
Suppose 5*v = -4*o + 21 + 21, -9 = -3*o. Calculate the lowest common multiple of 10 and v*(26/6 - 4).
10
Let w(r) = 2*r**2 + r + 22. Calculate the smallest common multiple of 10 and w(0).
110
Let p be (10/3)/(2/3). Suppose 2*b - 8 = -5*u, -4*u + 0*u - p*b + 3 = 0. Calculate the least common multiple of (-16)/10*(-65)/26 and u.
4
Let x(u) = 2*u**2 - u - 6*u + u**3 + 6 - 2*u**2 - 2*u**2. Calculate the least common multiple of 6 and x(4).
30
Let w = -15 + 5. Let y = 21 + w. Let b = -10 - -17. Calculate the smallest common multiple of y and b.
77
Suppose 3*n - 16 = -v, n + 2 = v - 2. Suppose b + 9 = -5*c - 0, 4*c = -b - v. What is the least common multiple of 20 and 3 + (b - -2) + -2?
20
Let a(d) = -5*d - 12. What is the least common multiple of a(-3) and 2?
6
What is the common denominator of 65/8 and 121/28 - (-17 - -19)?
56
Let c(l) = l**2 + l - 2. Let v be (3/1 + -1)/(-1). Let y be c(v). Suppose y*k + 2*k = -j, -k - 18 = -4*j. Calculate the smallest common multiple of j and 3.
12
Calculate the common denominator of (1/(-2))/((-27)/(-49)) and 21/16.
432
Let d(u) = -u**3 + 7*u**2 - u - 3. Let t be d(3). Find the common denominator of 19/10 and ((-41)/(-3))/(t/(-9)).
10
Let q be (-5)/35 + 15/7. What is the common denominator of (-195)/(-2)*q/(-10) and 31/20?
20
Let z = 2649 - 3764. What is the common denominator of 51/8 and 2/9 + z/90?
24
Let f(k) = 7*k**2 - 2*k - 1. Let z be f(-1). Find the common denominator of ((-8)/(-36))/(z/822) and 65/18.
18
Let y be ((-1)/2)/((-2)/4). Let t = 4 - y. Let v(s) = -s**2 - 21*s - 16. What is the smallest common multiple of t and v(-20)?
12
Let b = 109865821/18 - 6099198. Let h = b - 4456. What is the common denominator of 121/6 and h?
18
What is the common denominator of ((-20)/25)/((-2)/3) and 4/9?
45
Suppose 3*c + 18 = 5*u, 2*c - 3 = -3*u + 4. Suppose -2*j + 20 = u*j. What is the least common multiple of j and 2 - -1 - (3 - 5)?
20
Let u be 0 + (-5)/((-105)/192). Let q = 562/63 - u. Calculate the common denominator of q and 44/9.
9
Suppose -4*i - 23 - 1 = 0. Suppose 4*g - 7 = -23. Calculate the common denominator of 13/3 and 76/24*g/i.
9
Suppose 2*m + 0*m - 64 = 0. Suppose m = -0*p + 2*p. What is the lowest common multiple of p and 22?
176
Let i = 44815/6 - 7494. What is the common denominator of i and -7/10?
30
Let v = -5 + 8. What is the least common multiple of 8/v*(-2 + 5) and 7?
56
Suppose j + 75 = 5*i, 85 = 6*i - i + j. Let u = 11 + -3. Calculate the lowest common multiple of u and i.
16
Let v = -17/29 + 2969/2146. What is the common denominator of -83/12 and v?
444
Let a be 10/(-12) - 8/48. Find the common denominator of 99/(-6) - (-1)/a and 97/16.
16
Let m = 25641/8 + -204815/88. Let h = 881 - m. What is the common denominator of h and (-72)/(-324) + (-694)/(-36)?
22
Suppose 62*b + 48 = 66*b. Calculate the smallest common multiple of b and 33.
132
Let o be 7/21 - 2/6. Suppose 3*u = 3*g - 57, -u = -o*g - 4*g + 67. Calculate the smallest common multiple of 22 and g.
176
Suppose -48 = 5*i - i. Calculate the least common multiple of (7 - 2)*24/10 and 3/(3 + 27/i).
12
Suppose 3*s + 5*g = 76, 4*s - 75 = -4*g + 21. What is the smallest common multiple of 100 and s?
1100
Let n(s) = 9*s**2 - 1. Let g be (-124)/(-20) + (-1)/5. Suppose 0 = -5*z - g + 26. Calculate the lowest common multiple of n(1) and z.
8
Let s be (-2)/9 - 22812/(-27). Let h = -860 + s. What is the common denominator of (26/4)/(6 - 2) and h?
24
Suppose 5*h + 3 - 53 = -n, -3*n - 30 = -5*h. Let x be (1*12)/(-2) + -2. Let c = x + 19. What is the least common multiple of c and h?
99
Let p = -1686 + 20333/12. What is the common denominator of -93/28 and p?
84
Let a = 123758/7 - 17744. Let d(y) = -2*y**2 - 4*y + 6. Let m be d(-7). Let b = a - m. Find the common denominator of 51/7 and b.
7
Calculate the common denominator of 4/(-18) - (-1173)/54 and -83/6.
6
Let a be 50145/(-21) + 0/(-1). Suppose 4*u + 2*i = 3766 - 13356, 4*u - 5*i = -9569. Let y = u - a. Calculate the common denominator of y and -46/11.
77
Let z(p) = p**3 - 3*p**2 + 4*p - 2. Let g(x) = -x**2 - x - 49. Let s be g(0). Let c = 69 + s. What is the lowest common multiple of c and z(2)?
20
Let o be 121/(3 - 608/204). Let z = o + -61771/10. Let k = 42649/6 + -7124. What is the common denominator of z and k?
30
Let k = -49742/27 - -1843. What is the common denominator of 137/18 and k?
54
Suppose 0 = 3*n + 3, -6*n + 61 = 3*k - n. Let w = -26 + 10. Let s = w + k. Calculate the smallest common multiple of 2 and s.
6
Let n(z) = -22*z**2 + 1. Let f be n(-3). Let l = 783/4 + f. Calculate the common denominator of 11/(-4)*(-21)/28 and l.
16
What is the lowest common multiple of (-14)/(-8)*4 - -1 and 42?
168
Suppose 0 = 3*m + 2*m - 5*y - 655, 4*m - 3*y = 519. Find the common denominator of 0 + -2 - m/(-40) and ((-3)/(-48))/(2/74).
80
Calculate the common denominator of (-423)/648 + (-1)/8 and -18/7.
63
Let y be ((-1)/(-3))/((-2)/(-348)). What is the common denominator of 89/14 and y/(-4) + 3 + 2?
14
Let d = -3103/172 - -34/43. Find the common denominator of d and (1 + 14/(-16))*34.
4
Suppose -3*u + 18 = 60. Let g(n) = -2*n + 18. Let l be g(12). Let t = l - u. What is the lowest common multiple of t and 11?
88
Let s = 22 + -13. Suppose -2*u + 7 = -s. Calculate the smallest common multiple of u and 18.
72
Let p be 14/3199*2/28. Let w = 24219/6398 + p. What is the common denominator of w and -109/12?
84
Suppose 0 = -2*k - 2*k + 12. Calculate the common denominator of -69/16 and (-36)/(-80) - 2 - k.
80
Let m be 0 + (-2)/4*2. Let w be 26/8 + m/4. Calculate the common denominator of -11/10 and (19/4)/((-1)/w).