?
12
Let a = 4 + 8. Suppose -2*t + 0*t = -a. Suppose 4*o - 42 = -2*o. Calculate the lowest common multiple of o and t.
42
Let t be 1 + 0*3/(-9). What is the common denominator of (18/(-189))/(t/(-3)) and -44/9?
63
Let z = 1 - 4. Let g = -3 - z. Suppose -3*t + g*j + 2*j + 36 = 0, j - 37 = -4*t. What is the smallest common multiple of t and 18?
90
Suppose -3*j = 9*j - 768. Calculate the least common multiple of 3 and j.
192
Suppose -3*n - 5*c = 1092, 7*c - 2*c - 703 = 2*n. Find the common denominator of n/(-30) + (-4)/6 and -83/4.
20
Let g = 2329/10 - 234. Find the common denominator of g and ((-5)/(-10))/((-11)/9).
110
Suppose -4*p + 20 = 2*j, 4*p + p = 3*j + 3. What is the least common multiple of j and 2?
4
Suppose 12 - 48 = -4*f. Calculate the least common multiple of 10 and f.
90
Find the common denominator of 23/9 and ((-1278)/48)/((-3)/(-2)).
36
Let s = 10 + -8. Calculate the common denominator of 49/(-6)*s + -2 and -13/7.
21
Let i = -78 + 122. Suppose i = 5*r - 6. What is the lowest common multiple of r and 4?
20
Suppose 4*o - 4 = 0, 3*p + 3*o + 3 = 5*p. Suppose w = 15 - p. What is the lowest common multiple of 22 and w?
132
Let u(w) = -w**3 + 12*w**2 + 30*w - 18. Calculate the smallest common multiple of u(14) and 7.
70
Let x(z) = -11*z + 60. Calculate the least common multiple of x(5) and 10.
10
Suppose 4*b + 60 = 7*b - 2*n, -n = 3*b - 51. What is the smallest common multiple of b and 8?
72
Let v = 365 - 221. Calculate the smallest common multiple of 20 and v.
720
Let q(t) = -t**3 + 4*t**2 - t - 1. What is the lowest common multiple of 7 and q(3)?
35
Calculate the smallest common multiple of 10 + (-2)/(-6) + 20/12 and 8.
24
Let l = -12877 - -128651/10. Calculate the common denominator of l and -27/10.
10
Let d = -56 + 80. Calculate the smallest common multiple of d and 60.
120
Let l(x) = x**3 - 19*x**2 - 19*x - 17. What is the least common multiple of 10 and l(20)?
30
Let w be 2/(-2*(-2)/(-58)). Let s = -17 - w. What is the common denominator of 3/s - 61/(-20) and -1/6?
30
Suppose 3*s + 42 = 5*i, 2*s = 2*i + i - 26. What is the lowest common multiple of 2 and i?
6
Let z(j) = 9*j**3 - 13*j**2 + 7*j + 4. Let g(m) = 5*m**3 - 7*m**2 + 4*m + 2. Let q(r) = -5*g(r) + 3*z(r). Calculate the smallest common multiple of q(2) and 10.
20
Suppose -2*y = 3 + 5. Suppose -4*a = -3 - 9. Calculate the smallest common multiple of 30/y*8/(-10) and a.
6
Calculate the common denominator of (18/(-20))/((-16)/90) and ((-42)/44 - -1)/(65/6305).
176
Suppose 2*q = -q - 3*g + 18, q - 14 = g. Let i = 38 + -18. What is the lowest common multiple of q and i?
20
Let h = 92197/22 - 4190. Calculate the common denominator of h and 1/4.
44
Let n be 5 + -4*3/(-12). Suppose -4*g = -n*g + 14. Calculate the lowest common multiple of g and 3.
21
Let a = 19 - 10. Suppose -17 = -5*n + 3*k, 3*n + 7*k = 4*k + 15. Calculate the lowest common multiple of n and a.
36
Suppose 6*i + 10 = i. Calculate the common denominator of (-11)/55*(-39)/(-2) and 1/i - 87/(-14).
70
Let n be 0 + (-2107)/(-4) + -3. Let p = -517 + n. Let l = -4577/4 - -1150. Find the common denominator of p and l.
4
Let i = 49 - 37. What is the lowest common multiple of i and 40?
120
Let p = -5 + 7. Let r(u) = u**3 - 4*u**2 + 2*u + 6. Calculate the lowest common multiple of p and r(4).
14
Suppose -3*a - p + 9 = 2*p, 4*a = 3*p + 19. Suppose -2*n + 0 = -6. Suppose x - n = a. What is the least common multiple of 10 and x?
70
Let c = 245823/31570 + -2/2255. Find the common denominator of 115/12 and c.
84
Let h = 22 - 452. Let t = 4738/11 + h. What is the common denominator of (5/(-2))/(6/20) and t?
33
Let j(w) = -w**2 + 7*w - 5. Calculate the least common multiple of j(6) and (-18)/(-81) + (-2)/(18/(-7)).
1
Let d(a) = a**3 + 7. Let y be d(0). Suppose -u = -y - 4. Calculate the lowest common multiple of 7 and u.
77
Suppose -39 = 3*a + 15. What is the lowest common multiple of (a/15)/(9/(-60)) and 18?
72
Let g be (-30926)/(-426)*55/(-198). Let w = 2/1917 - g. What is the common denominator of ((-146)/(1 + 1))/(-2) and w?
6
Let p(k) = 81*k**2 - 5*k + 3. Let w be p(4). Let o = -1926531779/1520346 - -1/253391. Let s = o + w. Calculate the common denominator of 48 and s.
6
Suppose 2*a + 36 = 6*a. Calculate the least common multiple of 2 and a.
18
Suppose -5*g + 0*i - i = -49, 0 = 5*i + 5. Suppose -c = -g + 1. Let v = 31 + -23. What is the smallest common multiple of v and c?
72
Calculate the common denominator of -31/14 and 4/3 + 566/12.
14
Let s = 15/88 + 3767/616. Calculate the common denominator of s and 18/7.
7
Let m = -1 + -1. Let x = 4 + m. What is the common denominator of 61/9 and (x/(-12))/((-10)/(-618))?
90
Let c = -1 + -1. Let f = 23 - 28. Let v = c - f. Calculate the lowest common multiple of 11 and v.
33
Let s be 18/5 - 10/(-25). Let x = s + -6. Calculate the common denominator of 364/32 + 1/x and -10/9.
72
Suppose -2*r = -3*g + 2*r - 18, -r + 1 = g. Let j = -38 + 32. What is the lowest common multiple of 8 and j/4*g + -2?
8
Suppose 30 = 4*i - 9*i. Calculate the least common multiple of (-6)/(-2*(-2)/i) and 8.
72
Let y = 2732543/72 - 37951. Calculate the common denominator of -83/10 and y.
360
Suppose 2*c = 8*c - 30. Find the common denominator of 38/c - (-30)/50 and -14.
5
Let j(d) = -2*d. Let a be j(-5). Suppose 3*g + 0 = -2*i + 4, -5*i + a = -g. Suppose 4*t + 2 - 10 = g. What is the least common multiple of t and 6?
6
Let j be 3/(3 - 0)*3. Let x be (-3 + (j - 1))/1. What is the common denominator of ((-1)/(-28))/(x/(-174)) and 13/18?
126
Suppose 0 = 3*g - 3*d - 6, -4*g = -2*g + 5*d - 32. Let l(z) = -3*z**2 + 0*z - 3*z + 2*z**3 - 3*z**3. Calculate the smallest common multiple of g and l(-2).
6
Let k(t) = -t + 2. Let q be k(2). Let o = q + 4. Calculate the lowest common multiple of o and 4.
4
Let f(x) = -4*x - 32. What is the lowest common multiple of 24 and f(-10)?
24
Let v = 36481/7137 + -1/2379. What is the common denominator of v and -25/4?
36
Suppose 30 - 3 = 3*x. Calculate the smallest common multiple of 29 and x.
261
Let t = -3904 + 23479/6. What is the common denominator of t and 39/8?
24
Suppose 0*x = 4*x - 24. Let t = 0 - -9. What is the least common multiple of x and t?
18
Find the common denominator of 27/5 and (-110)/(-16) + 1 + 1.
40
Let j = -5 - -5. What is the least common multiple of 10 and -4 + 4 - (-2 - j)?
10
Let w be -2 + 6 - (2 + -1). Suppose w*q - 2*q - 5 = 0. Calculate the smallest common multiple of q and 7.
35
Let k = 17082/7 + -2446. Find the common denominator of k and 57/10.
70
Suppose -3*u + 10 = -20. What is the least common multiple of (-3 - (-10)/4)*-24 and u?
60
Let l(y) be the first derivative of 2*y**3/3 - 5*y**2/2 + 4*y - 1. Suppose -2 = -5*t + 3*t, 4*x - 4*t = 0. Calculate the smallest common multiple of l(3) and x.
7
Let r = 2477/10 - 1292/5. Find the common denominator of r and -75/4.
20
Suppose 2*p - 11 = p. What is the smallest common multiple of p and 3?
33
Suppose 3*s + 43 + 55 = -2*p, 3*s = 3*p - 78. Let y = -109 + 348. Calculate the common denominator of 6/s - y/(-70) and 113/6.
42
Let y(q) = -q**3 + q**2 + 2*q - 6. Let p be y(5). Calculate the common denominator of ((-4)/p)/(1/166) and (-1)/(20/(-154)) - 0.
60
Suppose 5*f = -4*o + 398, -489 = -5*f - o - 97. What is the lowest common multiple of 4 and f?
156
Suppose 5*j - 5*t = 25, -5*j = -t + 2*t - 25. Calculate the lowest common multiple of 5 and j.
5
Let g be 15 + 2/4*2. Suppose 5*h = g + 4. Suppose 3*c + 90 = 5*b, -h*b + 72 = 5*c - 0*c. Calculate the lowest common multiple of 22 and b.
198
Let n be (0 - 4)*(-10)/(-20). What is the lowest common multiple of -22*1/4*n and 11?
11
Suppose 0 = 4*w + 8, -772 = f - w - 0*w. Let k = f + 6201/8. Calculate the common denominator of -2/3 and k.
24
What is the smallest common multiple of -4 - -2 - (-3 + -23) and ((-24)/(-15))/((-2)/(-5))?
24
Let a(h) = 3*h - 4. Let x(k) = 3*k**2 - k**2 + 2*k + 2*k. What is the lowest common multiple of a(6) and x(-3)?
42
Suppose 0*k = -8*k + 48. Calculate the smallest common multiple of 9 and k.
18
Let i(h) = -h + 8. Let t be i(11). Let p = t - -13. Calculate the least common multiple of p and 20.
20
Let r = -2/12513 - -437999/275286. Let c be 1*(0 - (-8)/25522). Let o = c + 1492957/255220. Find the common denominator of r and o.
220
Let m