 h(v) = v**2 - 3*v - 3. Let f(n) = -n**2 + 8*n - 6. Calculate the lowest common multiple of f(7) and h(-1).
1
Let z = -15 - 16. What is the common denominator of 22/15 and z?
15
Let y = -61 - -62. What is the lowest common multiple of y and 3?
3
Let f(q) = q**3 - q**2 - q + 12. Suppose 0 = -4*u + 5*u. What is the least common multiple of f(u) and 2?
12
Suppose 2*r = -0*r + 36. Suppose 4*o - 4 = v - 18, -28 = -v - 3*o. What is the least common multiple of r and (-134)/(-11) + (-4)/v?
36
Let x = 8 - 7. Calculate the least common multiple of x and 2.
2
Suppose -n + 72 = 3*g, -5*g - 188 = -3*n - 0*n. Let b = -44 + n. What is the lowest common multiple of 10 and b?
110
Suppose 0 = 7*d + 56 + 112. Calculate the common denominator of d and (-25)/9 - (-1 + -1).
9
Let b = 3 + -4. What is the lowest common multiple of b/(-2) - (-15)/2 and 3/30*-4*(-17 + 2)?
24
Find the common denominator of 1/5 + (-147)/110 and -39/22.
22
Let o = 0 + 10. Let g(u) = u**3 - 2 + 3*u**3 + 2*u**2 + u - 5*u**3. What is the lowest common multiple of o and g(-2)?
60
Let f = -58/21 - 1/63. Find the common denominator of -23/30 and f.
90
Suppose -5 = -6*c + 5*c. Let k = c - 2. Suppose 0*x - k*x = -2*l + 31, 3*x - 25 = -2*l. What is the smallest common multiple of l and 16?
112
Calculate the lowest common multiple of 5 and 225/(-60)*32/(-3).
40
Let r(o) = 2*o - 7. Let u(s) = -s + 3. Let y(n) = -3*r(n) - 7*u(n). Calculate the lowest common multiple of y(4) and (1 - 1 - 2)*-1.
4
Suppose 38 = -2*y + 2*g, 5*g = -5*y + 2*g - 79. Let r = -10 - y. Let j(a) = -a**3 + 10. What is the smallest common multiple of r and j(0)?
70
Suppose -2*v + 22 = -0. Calculate the common denominator of -11/6 and 3/(((-121)/(-6))/v).
66
Let f = -101 + 807/8. What is the common denominator of -99/8 and f?
8
Suppose 5*i + 38 - 13 = 0. Let u = -5 - i. Suppose 0 = p - 0*p - 3*a - 9, u = 2*p + 5*a - 29. Calculate the lowest common multiple of p and 6.
12
Let w = 86183/133 + -90785671/140980. Let q = w + -158/53. Find the common denominator of (-1)/(-8) - (-391)/(-88) and q.
220
Calculate the common denominator of (-1840)/(-48)*1/10 and -11/30.
30
Let q be (-9)/3 + -1 + 0. Let t(r) = -2*r - 6. Calculate the lowest common multiple of t(q) and 4.
4
Let b be 3 + -2 + -2 - 9. Find the common denominator of 42/4 - b/(-15) and 51/14.
42
Let f = 105 - 259/2. Find the common denominator of f and 39/5.
10
Let t = -1633/280 - 1/40. Calculate the common denominator of t and 89*4/24*-1.
42
Let r(d) = -2*d**3 + d**2 - d - 1. Let i be r(-1). Suppose -10 = -i*q - 2*q. What is the least common multiple of q and 22?
22
Let x(b) = -b**2 + 8*b + 22. Let h be x(10). Let p(v) = v + 7. Let a be p(-5). Suppose -a = h*w - 4. What is the lowest common multiple of 9 and w?
9
Let l = 12 - 7. What is the smallest common multiple of 9 and l?
45
What is the lowest common multiple of 25 + 1 + 1/(-2 + 3) and 33?
297
Let j = 13 - 4. Suppose -4*d + 7 = -1. Suppose -d*t + t + 7 = 0. What is the smallest common multiple of t and j?
63
What is the common denominator of 13/20 and 12/27*765/(-48)?
60
Let t(l) = l**3 - 6*l**2 - 5*l - 4. What is the least common multiple of t(7) and 7?
70
Let m(h) = -h**2 + 15*h + 10. Calculate the lowest common multiple of m(15) and 24.
120
Let l = -406/25 + 2947/300. Find the common denominator of 17/12 and l.
12
Let l(w) = -w**3 + 7*w**2 + 10*w - 12. What is the least common multiple of 2 and l(8)?
4
Let x(b) = b**2 - b + 2. Let s be x(2). What is the lowest common multiple of ((-2)/s)/(3/(-6)) and 2?
2
Suppose 0 = 3*u - 21 - 9. Let h = 4 + -2. Calculate the least common multiple of h and u.
10
Let a(m) = m**3 - 2*m**2 + m + 3. Let s be a(3). Let o = s - 4. What is the lowest common multiple of 3 and o?
33
Let m = 8 - -2. What is the lowest common multiple of m and 4?
20
Let u = 893056 - 129491486/145. Let b = 27/29 + u. What is the common denominator of 21/8 and b?
40
Suppose -3*d = -d - 10, -3*g = 2*d - 34. Let y = g + -13. What is the common denominator of -19/5 and y + 4 - (-83)/(-2)?
10
Suppose 45 = 3*a - 3*g, 0 = -a - 2*g - 0*g. Suppose 2*m = -a - 100. What is the common denominator of 83/10 and (-12)/(-6) - m/6?
30
Let c = 27/4 + -257/20. Calculate the common denominator of 65/14 and c.
70
Let d be (4/3)/(6/(-18)). Calculate the smallest common multiple of (-5)/d - (-2)/(-8) and 9.
9
Let x = -931201/87030 - 2/8703. Calculate the common denominator of x and -59/8.
40
Let y(j) = j**3 + 10. Let p be y(0). Calculate the common denominator of ((-14)/3)/((-5)/p) and 57/2.
6
Find the common denominator of 63/10 and 119/(-18) - (-15 + 16).
90
Let g(h) = -h + 3. Let p be g(2). Let l(f) = 19*f + 3*f**2 + 18*f**2 - 21*f - p. Calculate the least common multiple of 2 and l(-1).
22
Let l(d) = 3*d**2 + 1. Let r be l(1). What is the common denominator of (0 - 153/60)*r and 50/7?
35
Let k = -5263/28 - -1146/7. Find the common denominator of k and 43/11.
44
Calculate the common denominator of 19 - (-1 - (-4)/16) and -46/5.
20
Let y = -31759045/7758 + -2110/431. Let z = 4092 + y. What is the common denominator of z and 1/10?
90
Let r = 24389/3832 - -5/479. What is the common denominator of 11/14 and r?
56
Let m(k) = 5*k**2 + 29*k - 4. Calculate the lowest common multiple of m(-6) and 18.
18
Suppose 4*s = -6114 - 3146. Let i = 1720918 - 24125327/14. Let f = i - s. Find the common denominator of f and -33/10.
70
Suppose 102*c - 101*c - 16 = 0. Suppose 3*n = 23 + 31. What is the lowest common multiple of c and n?
144
Let x(l) = -l**3 + 7*l**2 + 10*l - 11. Suppose 18 = -2*j + 4*j. Suppose 2*w - j = 11. What is the smallest common multiple of w and x(8)?
10
Calculate the least common multiple of 22 and (-7 - 9/(-3))/(-2).
22
Let a = -69 + 96. What is the smallest common multiple of a and 12?
108
Let n(f) = -2*f + 4. Let b(z) = -3*z - 1. Let w be b(1). Calculate the lowest common multiple of 12 and n(w).
12
Suppose -g - j = -6*g + 8017, -5*g = 3*j - 8029. Let t = -14486/9 + g. Calculate the common denominator of (-27)/7 + 0 + 0 and t.
63
Let f = 953/2556576 + -5/7263. Let n = f - -21473/3168. What is the common denominator of n and -11/10?
90
Let c = 828 - 8257/10. What is the common denominator of c and 5/2?
10
Let f = 592/7 + -2739/28. Find the common denominator of f and 19/24.
24
Let p = 2 - 0. Let z = 58 - 46. Suppose p*d - z - 4 = 0. What is the smallest common multiple of d and 4?
8
Let p(w) = w**3 + 13*w**2 + 12*w + 16. What is the smallest common multiple of p(-12) and 10?
80
Suppose -4*k = -3*j + 24, 3*j = 4*j + k - 8. Let r(x) = -x**2 + 10*x - 8. What is the lowest common multiple of 8 and r(j)?
8
Calculate the lowest common multiple of 16 and (-101)/(-5) + 3*(-3)/45.
80
Let y(q) = -2 - 6*q + 4*q**2 - 3*q**3 + 3*q + 6. What is the common denominator of y(3) and ((-27)/(-40))/((-6)/(-88))?
10
Let f = 7 - 6. Calculate the least common multiple of f and 4*1/8*10.
5
Let w = 18 + -1. What is the lowest common multiple of 6 and w?
102
Find the common denominator of 222/16*(-100)/75 and 29/36.
36
Suppose -162 = -3*s - 3*r, 2 - 1 = -r. What is the common denominator of s/(-15) + 2/(-4) and 99/(-20) - (0 - 2)?
60
Let y = -9 - -19. Calculate the lowest common multiple of y and 10.
10
Let x = 83/315 - -351/70. Find the common denominator of x and -101/14.
126
Suppose -25*l = -17*l - 96. Calculate the smallest common multiple of l and 22.
132
Suppose -5*m - 62 + 3 = z, -4*z = -2*m - 28. Let q(b) = -b**3 - 4*b**2 - 5*b - 3. Let s be q(-4). Let y = m + s. What is the least common multiple of 10 and y?
10
Suppose 2 = -4*v + 5*v. Suppose 20 = h + v*h + 5*d, -h - d = -4. Suppose 3*j - 31 - 11 = h. Calculate the least common multiple of j and 4.
28
Let h = -251 - -79. Let p be (0 - -158)/(h/(-6)). Let k = -695/602 + p. Calculate the common denominator of -43/22 and k.
154
Let t = 1812 - 7169/4. Suppose -6*q = -q + 1420. Let x = 1931/7 + q. Find the common denominator of t and x.
28
Let u(g) = g**3 + 3*g**2 - g + 2. Calculate the least common multiple of u(-3) and 7.
35
Let u = -34467/11 - -3136. Let p = -1/4 - -3/4. Find the common denominator of p and u.
22
Let i(d) = -3*d + 2. What is the smallest common multiple of i(-2) and 2 + 16 + 7/(28/(-8))?
16
Find the common denominator of (-4 - -5) + 86/36 and (-127)/4*(-24)/108.
18
Let b be 5