e of f(7) and 6.
6
Let h(r) = -r**3 + 12*r**2 + 10. What is the smallest common multiple of h(12) and 8?
40
Let g = -119/12 + 409/60. Let f = -2613 + 20877/8. Calculate the common denominator of g and f.
40
Suppose -40 = -3*j - c, 4*c + 4 = 3*j - 31. Let m be (-36)/(-2)*2/(-4). Let v = j + m. What is the smallest common multiple of 9 and v?
36
Let u be 1 + -169*2/350. Let n = 4749/700 - u. Find the common denominator of 59/10 and n.
20
Let s(b) = 6*b - 1. Let i be s(2). Let w(k) = 2*k + 5. Let x be w(-6). Let j = i - x. What is the lowest common multiple of 20 and j?
180
Let o = -22706652/5 + 28292442407/6230. Let z = o - -142/89. What is the common denominator of -53/14 and z?
14
Let v(d) = 0*d - 3*d + 2 - 13. Calculate the smallest common multiple of v(-9) and 10.
80
Suppose -3*b + 5*b = -3*m - 2, 0 = -4*m - 5*b - 12. What is the lowest common multiple of m and 21?
42
Let x(v) = -v**3 + 9*v**2 - 12*v + 4. What is the lowest common multiple of x(7) and 3?
18
Let r(p) = -10*p**3 - p**2 + 2*p - 1. Let l be r(1). Let x = -147/10 - l. What is the common denominator of x and 11/12?
60
Find the common denominator of -3 + 5 + 87/(-27) and -97/8.
72
Suppose 300 = -2*j - 228. Calculate the least common multiple of 4 and j/(-16) - (-1)/(-2).
16
Let i = 17/792 - -201/88. What is the common denominator of i and -13/11?
396
Let d = 4165 - 37435/9. Let t = -29 + 44. Find the common denominator of (34/t)/(6/(-20)) and d.
9
Let i = 181729/20 + -9082. Let v = 160392 - 2243377/14. Let p = v - 898/7. What is the common denominator of p and i?
20
Let r(m) = -4*m - 8. Suppose 0 = 2*y + 5 - 9. Suppose -1 = y*u - 9. Calculate the lowest common multiple of u and r(-7).
20
What is the common denominator of 61/2 and 4 + 4/8 + 3/27?
18
Let i = 1 - 3. Let d be 49/5 + i/(-10). Suppose -d = -3*j - 4. What is the lowest common multiple of 9 and j?
18
Let w be (1 + 6/(-3))*-33. Let t = -25 - -6. Let l = t + w. Calculate the lowest common multiple of 12 and l.
84
Suppose -2*j = -3*j + 10. What is the smallest common multiple of j and (-27)/(1 + 10/(-4))?
90
Let l(q) = -q**3 + 10*q**2 + 1. Suppose -4*r + 5*n = 4, 0*n + 4*n - 16 = 0. Calculate the smallest common multiple of l(10) and r.
4
Suppose 3*s + 2*j - 16 = -s, 5*s - 4*j - 33 = 0. Let n = 6 + -3. What is the least common multiple of n and s?
15
Let k = -6 + 13. What is the common denominator of 109/22 and (-66)/(-20)*k/(-6)?
220
Let n(j) = 18*j**2 - 4*j - 1. What is the common denominator of -7/16 and n(-1)?
16
Let h(l) = -l**3 + 9*l**2 + 10*l + 4. Let p be h(10). Calculate the common denominator of p/((-16)/(-12) + -3) and -1.
5
What is the common denominator of -3 + (-207)/(-42) + -2 and 119/10?
70
Suppose -4*d - 2 = -4*g - 6, -4*d - 3*g = 17. Let o be (12/(-2) - d)*-8. Calculate the common denominator of ((-36)/o)/((-2)/(-20)) and -77/4.
4
Let h(d) = 3*d**2 + 4*d. Let w be h(-3). Calculate the common denominator of 20/11 and ((-837)/(-120))/(w/20).
110
What is the common denominator of -74*(3 - 92/30) and -89/30?
30
Suppose -5*v - 6799 = 3*g - v, -5*v + 9117 = -4*g. Let a = -15948/7 - g. What is the common denominator of a and -45/11?
77
Suppose -2*a = -3*a - 8. Let o = -8 - 59/4. What is the common denominator of o and ((-7)/(-5))/(a/35)?
8
Suppose 89 = -6*p + 11*p + 4*r, -4*r = 4*p - 68. What is the lowest common multiple of p and 12?
84
Find the common denominator of ((-2)/(-15))/((-8)/534) and -36/11.
110
Let w = -8 + 11. Suppose -w*o + 134 + 73 = 0. What is the common denominator of -76/3 and ((-52)/(-27) - 2)*o?
9
Suppose 67 = 4*d - 29. Suppose -d = -3*c - 5*s + 6, c + 7 = 4*s. Suppose -5*x = -0*x - 35. Calculate the least common multiple of c and x.
35
Let f(j) = j + 1. Let m be f(0). Let u be 0/(-1 + 0)*m. Suppose 4*r - 3*l - 67 = u, 2*l = 2*r + 2*r - 66. Calculate the least common multiple of 18 and r.
144
Let d(j) = -2*j**2 + 10*j + 7. Calculate the smallest common multiple of d(5) and 6.
42
Suppose 4*y + 0*y - 5*d = -8, -23 = -5*y - 2*d. Calculate the least common multiple of 13 and y.
39
Let s(o) = 26*o - 8. What is the least common multiple of 36 and s(1)?
36
Calculate the least common multiple of 12 and 0 + -2 - (-3 + -3).
12
Find the common denominator of -103/10 and 21/(-6) + (-1)/5.
10
Suppose 28 = -3*d + 4*d. Calculate the lowest common multiple of 32 and d.
224
Suppose 2*w - 12 = 7*w - g, 2*g = 4*w + 12. Calculate the common denominator of -43/2 and (w/(-3))/(84/(-639)).
14
Suppose -2*f - 894 = 4*y, 4*y + 2*f + 897 = -f. Calculate the common denominator of -2 - -2 - y/(-20) and (23/11)/(-1 - 1).
110
Let l(f) = f**2 - 7*f + 2. Let a be l(4). Let b = 191145/9212 - -1/2303. Find the common denominator of b and (-457)/a + (-1)/5.
4
Suppose -4*r - 11 = -39. Calculate the lowest common multiple of r and 6.
42
Suppose 13 = 3*p + 4*c - 3, p + c - 4 = 0. Suppose p*u = -4*u + 80. Calculate the smallest common multiple of 44/(-242) + (-92)/(-22) and u.
20
Suppose -3*q = -6*q. Suppose q = o - 1 - 4. Suppose 3*g - o*g = -2*j, j - 4*g = -15. Calculate the smallest common multiple of j and 4.
20
Let g(j) = 4*j**2 + j. Let s be g(-1). Suppose s*q = 3, -4*q + 12 = 2*m + 54. Let r = -11 - m. Calculate the smallest common multiple of 6 and r.
12
Let s be ((-21)/6 + 2)*14. Let x = -14 - s. What is the lowest common multiple of x and 7?
7
Let u(s) = s**3 - 4*s**2 + s - 4. Let c be u(3). Let p = c + 28. What is the smallest common multiple of -1 - 2/((-4)/22) and p?
90
Let f(l) = 13*l**2 - l. Let d be f(-2). Suppose 7*j - 4*j + a - 70 = 0, 3*j - d = 3*a. What is the lowest common multiple of j and 16?
176
Let o = 17398574 + -243468081/14. Let u(s) = -888*s**2 + 4*s + 2. Let j be u(-3). Let f = j + o. Find the common denominator of -35/8 and f.
56
Let w be (-4)/(-10) + (-2992)/(-70). Let r = -2663/70 + w. Find the common denominator of -29 and r.
10
Let o be ((-8)/(-10))/((-2)/10). Let s(v) = 3*v - 4. Let u be s(o). Calculate the common denominator of 79/18 and (-58)/u*(-10)/3.
36
Let n be ((-8748)/5)/((-2)/(-15)). Let d = -209875/16 - n. What is the common denominator of 498/(-80) + (-4)/10 and d?
16
Let n(v) = 2*v + 4. Let l(f) = -f**2 - 10*f - 3. Suppose -5*g - 7 = 18. Calculate the smallest common multiple of l(g) and n(4).
132
Suppose 3*o - 7 = 41. Let b(a) be the second derivative of -a**5/20 + 5*a**4/12 - a**3/2 + 4*a**2 + 5*a. What is the smallest common multiple of o and b(4)?
48
Let o = -10 - -17. Calculate the smallest common multiple of (-4)/16 + 50/8 and o.
42
Let c = -1227 - -2517/2. Calculate the common denominator of c and -61/6.
6
Let x = 75 + -221/3. Find the common denominator of x and 25/11.
33
Suppose 2*j + 71 + 9 = 0. Let g = j - -12. Find the common denominator of g and 25.
1
Suppose -2*n + 2 = -4*m - 22, 2*m = 2*n - 20. Suppose 0 = 2*q + 4*r - 13 - 15, -3*q + r = -42. Calculate the least common multiple of q and n.
56
Let w be (-23)/(-2)*-2*2. Let s = w + 251/4. Find the common denominator of s and (-735)/378*(-2)/10.
36
Find the common denominator of -13/12 and (2 - 633/36) + 2/(-8).
12
Let x be (2/22198)/((-4)/(-48388)). Let g = -1/1009 - x. Let f = -6924 - -41693/6. Calculate the common denominator of f and g.
66
Calculate the least common multiple of 12/(-2)*(-2 + 3)*-1 and 24.
24
Let n = 4106 - 102692/25. Let j = -2209/50 - n. What is the common denominator of j and 21/22?
22
Let n = 20 + -19. What is the lowest common multiple of 8 and n?
8
Suppose 8*v - 9*v = -5. Suppose -3*z + 7 = 2*t - 2*z, 2*t + 13 = -v*z. What is the smallest common multiple of 6 and t?
6
Suppose -20 = -n + 6*r - 2*r, r = -4*n + 46. Calculate the lowest common multiple of 6 and n.
12
Let v = -1523 - -13682/9. Let j = 8008/3 + -2694. What is the common denominator of v and j?
9
Let f(m) = 6*m - 4. Let l be f(4). Suppose 3*j - 5*p = 36, 4*j + j + 5*p - l = 0. What is the lowest common multiple of 7 and j?
7
Suppose 2 = -5*r + 3*r. Let x be (-4 - -3)/(r/(-28)). What is the lowest common multiple of 8/x - 144/(-14) and 10?
10
Let i = -2090/3 - -1603024/2301. Let r = i + 18430/8437. Let d = -1/903 - -46967/9933. What is the common denominator of d and r?
11
Let a(p) = -2*p + 1. Let v be a(-1). Let t = v + 5. Calculate the lowest common multiple of t and 10.
40
Let f(c) = -2*c + 12. Let t be f(8). Let z be 0 + 2 + t - -1