10
Let j = -3 - -10. Let h be 2 + 12/(-5) + (-4)/(-10). Let n = h + j. What is the least common multiple of 10 and n?
70
Let p = -353 - -649. Calculate the lowest common multiple of 20 and p.
1480
Suppose -4*o = -0*o + 4, 2*m = -3*o + 5. What is the least common multiple of (5 - 0) + m + 129 and 10?
690
Let b = -2977/6 - -518. Calculate the common denominator of 167/30 and b.
30
Let k(m) = -7*m**2 - 2*m - 1. Let s be k(-1). Let t(j) = -5*j - 12. What is the smallest common multiple of t(s) and 30?
90
Let y = 77501/10 + -7761. Let s = -845443/4794 + 8220/47. What is the common denominator of s and y?
510
Let z = 866/5 - 139406/805. Find the common denominator of z and 7/138.
966
Let j = 32 + -29. Suppose -5*d = -4*x - 1, 3*x - 8*x + j*d + 2 = 0. What is the smallest common multiple of x and 9?
9
Let z(d) = 7*d**2 - 10*d - 10. Calculate the lowest common multiple of z(5) and 9.
1035
Let j be -3 - (100 - (-3 - -1)). Find the common denominator of -77/18 and ((200/j)/(-5))/(2/(-20)).
126
Suppose -5*v = 2*t - 4*t - 37, -3*v = -5*t - 102. Let h = t - -31. What is the least common multiple of 6 and h?
30
Suppose 12*i + 96*i - 432 = 0. What is the common denominator of i and -133/156?
156
Let y(k) = 2*k + 32. Let j be y(-13). What is the common denominator of (4/j)/((-260)/745) and 37/22?
858
Let c(b) = -b**2 + 3*b + 2. Suppose 0 = -3*v - 2*h + 27, 4*v = h + 3*h + 16. Calculate the lowest common multiple of v and c(3).
14
Calculate the lowest common multiple of 14 and (-8 - 3) + 7 + 2 + 6.
28
Let o = -629 + 701. What is the lowest common multiple of 20 and o?
360
Let k = -283085/4578 - -2/763. Let i = k + 51. Calculate the common denominator of i and (-603)/(-6)*2/54.
18
Let g = 49 + -73. Find the common denominator of ((-639)/(-30))/(g/(-10)) and ((-4)/(-120)*10)/((-16)/150).
8
Let x(w) = -24*w**3 - w**2 + 1. Let b be x(1). Let t = -22 - b. What is the least common multiple of t and 7?
14
Suppose 16 = 2*l + 3*p, -31 = -5*l - 3*p + 18. Suppose -216 = -l*h - h. Calculate the smallest common multiple of 1 and h.
18
What is the smallest common multiple of 24 and (4 - 0)/(-2)*(-32)/32?
24
What is the common denominator of (-146)/(-6)*78/(-2444) and -97/16?
752
Let h(c) = -c**3 - 4*c**2 + 4*c - 3. Let w = 8 + -6. Suppose a + w = 2*s - 6, s + 3*a = 18. What is the smallest common multiple of h(-5) and s?
6
Let w = -89 - -61. Let k = w - -31. What is the smallest common multiple of 5 and k?
15
Let i(r) = r**3 + r**2 + 3*r - 2. Let l be i(2). Calculate the common denominator of 428/6*(-4)/l and 13/16.
48
Suppose -5*o + 13 + 47 = 0. Suppose 5*m = 102 + 8. Suppose 0 = -5*u + 2*u, v + 5*u - m = 0. What is the least common multiple of v and o?
132
Let x = -5816 - -10267. Let o = -80165/18 + x. Calculate the common denominator of o and -111/10.
90
Suppose 0 = -3*z - t + 373, 2*z + 19*t - 242 = 17*t. What is the lowest common multiple of 56 and z?
504
What is the common denominator of -5/54 and 939/(-4536)*2 - (-30)/(-315)?
108
Let t be 4 - 1/((-4)/168). Calculate the common denominator of 69/8 + 23/t and (-12)/8 + 139/6.
24
Let u = -2136426 - -19247678/9. Let t = u - 2209. What is the common denominator of -21 and t?
9
Let i be 16/4*(-19)/52. Let d = i - 465/91. What is the common denominator of (-2)/1 + 1/(-7) and d?
7
Let u be -1 + (-18 - -4) + (0 - -1). Let k = u - -20. Calculate the lowest common multiple of k and 22.
66
Suppose -16 = 4*y, 3*y = 3*m - 26 - 19. Suppose 6*v = 35 + 361. Calculate the smallest common multiple of m and v.
66
Find the common denominator of -13/62 and (-2)/8 - (-405)/(-132).
682
Let l = 3 + -1. Suppose p + 600 + 165 = -l*d, 1539 = -4*d + p. Find the common denominator of d/135 + 4/10 and -43/11.
99
Let i = -53 + 130. What is the least common multiple of 33 and i?
231
Let c = 10798/9 + -3611/3. Calculate the common denominator of c and -20/7.
63
Suppose -2*v = v - 2535. Let a = 1539 - v. Let z = 2715/4 - a. What is the common denominator of -75/8 and z?
8
What is the common denominator of 95/66 and ((-610)/(-80) + -11)/(1*-11)?
264
Let u = -3332/99 - -402/11. Find the common denominator of u and (-15)/(-270) + 4/(-18).
18
Let g be 2*4/(-24)*-102. Suppose -3*y + 3*x + g = y, 3*x - 6 = 0. What is the lowest common multiple of y and 10?
10
Let i be 10/(-15) + 704266/96. Let a = i - 7340. Find the common denominator of a and (-1)/2 + (-139)/(-12).
48
Suppose 3*t - 46 = -0*q - q, -47 = -3*t - 2*q. Suppose 0*c + c = -3*u + t, -25 = -5*u + 4*c. Let y = 5 + 0. Calculate the lowest common multiple of u and y.
5
Let k be 4/(-3 + 3 + 2). Let o be -1 + 3/k*2. Suppose 0 = -o*u - 2*x + 2, 5*u - 1 = 4*x + 4. What is the lowest common multiple of 7 and u?
7
Let w(n) = n**3 - 10*n**2 + 11*n + 4. Let m be w(9). Let q = -311 + 199. Calculate the lowest common multiple of 10 and q/(-18) - m/99.
30
Let v(j) = -j**2 + j + 6. Let w be v(0). Calculate the common denominator of 6 - (848/120 - 0) and 194/(-30) - 2/w.
15
Suppose 29*z - 12 = 27*z. Suppose z = -2*q - q. What is the common denominator of (-27)/72*q/6 and 37/5?
40
Let l(f) = 4*f**2 - 18*f - 96. Calculate the lowest common multiple of l(-4) and 15.
120
Let c = 12717 + -7495. Let x = c - 375997/72. What is the common denominator of x and -19/16?
144
Suppose -5*f = 3*o - 0*o + 103, 5 = -5*o. Suppose -15 = 3*t, 0*s = -2*s + 5*t + 93. Let n = f + s. Calculate the smallest common multiple of 20 and n.
140
Suppose -334*b + 330*b + 48 = 0. What is the least common multiple of b and 8?
24
Suppose -n = -1 - 2. Let r be n/(2 + -5)*-7. Suppose -4*j - l = -27, j - 4*l = 1 - r. What is the smallest common multiple of j and 18?
18
Let l(r) = 1061*r**2 - 2*r + 1. Let w be l(1). Calculate the lowest common multiple of (-6)/21 - w/(-35) and 24.
120
Suppose 2*x - 42 = 4*u, -41 = -4*x + 2*u + 49. What is the least common multiple of 1 and x/4 - 10/(-40)?
6
Let z(i) = i**2 - 6*i + 9. Let r(u) = -u**3 - 7*u**2 + 9*u + 13. Let n be r(-8). Calculate the lowest common multiple of z(n) and 4.
4
Suppose l - 2 = 0, 53*p + 18 = 55*p - l. Calculate the smallest common multiple of -1*(-4 + 1 + -1) and p.
20
Let b be (-1)/((-1 + 3)/2). Let i(j) = -655*j**3 + 644*j**3 - 3*j**2 + 2*j**2. What is the lowest common multiple of 14 and i(b)?
70
Let i = 17 - 15. Suppose -9 = -i*k + 13. Calculate the lowest common multiple of 9 and k.
99
Let t = 46/65 + 6679/390. What is the common denominator of 16/119 and t?
714
Let v = 17 + -12. Let b(w) = -2*w. Let z be b(v). What is the common denominator of 65/2 and 1/(-3)*(-123)/z?
10
Let m = 1811/620 - 213/31. Let i = 20027747/68 - 294510. Let j = i + 18/17. Find the common denominator of j and m.
20
Suppose 15*b + 5*z = 14*b - 1, 0 = 4*b + 2*z - 32. What is the least common multiple of b and 342?
342
Let o = -11085 - -265973/24. Find the common denominator of o and 33/32.
96
Suppose 23*y - 81 = 11. Let w(c) = c**2 - 2. Let z be w(-3). Find the common denominator of (z - y) + 47/12 and 77/2.
12
Let y be 0*(-2)/4 + -135. Find the common denominator of 2 - ((-35)/y)/(-1) and -38.
27
Suppose 0 = -2*n - 4*b + 92, -2*n + 2*b = -22 - 40. What is the lowest common multiple of n and 24?
72
Let s(r) = -5*r + 2. Let h be (3 + 34/(-12))*6. Let j be s(h). Find the common denominator of 1*j/48*-29 and -113/12.
48
Let b be -8 + 3 + (-47116)/(-24). Let c = b + -1940. Calculate the common denominator of -37/8 and c.
24
Let o = 0 + 4. Suppose -o*c + 7 = -5*b + 4*b, -2*b - 5 = -5*c. Suppose -2*y + 24 = -r, b*r - 2*r - 12 = -y. Calculate the least common multiple of y and 16.
48
Let c = -122 + 124. Calculate the least common multiple of c and 526.
526
Let d(a) be the third derivative of -a**5/60 + a**4/24 - 2*a**3/3 + 2*a**2. Let t be d(4). Calculate the common denominator of 3/3 - (-22)/t and -28/3.
24
Suppose k + 2*k + 323 = s, 4*s - 4*k - 1316 = 0. What is the smallest common multiple of s and 32?
2656
Calculate the lowest common multiple of 16 and ((-25)/(-45)*-3)/((-10)/24).
16
Let j = -6662 + 79999/12. Let g = -8792 - -290173/33. What is the common denominator of g and j?
132
Let d be (50/15)/(3/(-126)). Calculate the common denominator of 4/10 + 246/d and 17/16.
112
Let q be -4*(3/3 - 2). Suppose -5*v + q*y = 7, 2*y - 7*y = -v - 14. What is the least common multiple of 2 and v?
2
Let l(q) = -5*q**3 + q*