
Suppose 0 = 41*w + 189 - 40 - 969. Suppose -3*h + 4*h = 24. What is the lowest common multiple of w and h?
120
Let n = -15570 + 15776. Let m(w) = -w**2 - 4*w - 1. Calculate the lowest common multiple of m(-3) and n.
206
Let l = -665333/6 + 111164. Let t = 270 - l. What is the common denominator of -2 + 19 - (-4 - -4) and t?
6
Let w(x) = -x**2 - 80*x - 1231. What is the smallest common multiple of (-2)/(-9) + 102/27 and w(-21)?
8
Let z = -8772955/124 + 70749. Find the common denominator of z and -57/32.
992
Let w = -74967/216275 - 1/25953. Calculate the common denominator of 117/10 and w.
150
Let q = 119861/1350 + -6622/75. Calculate the common denominator of q and 57/14.
1890
Calculate the common denominator of 19/80 and 2/(-8)*(-549)/198.
880
Let i = 12/1811 - 70869/36220. Let h = 167/3 - 221/6. What is the common denominator of i and h?
60
Let u = 1035566563/39297016 + -10/446557. Let s be 315/8*(84/(-35))/4. Let x = u + s. What is the common denominator of -16/9 and x?
99
Let w(m) = -m**3 + 5*m**2 - 2*m + 16. Let q be w(6). Calculate the common denominator of (-6)/33*164/q and -61/4.
44
Let u(l) = l**2 + l + 2. Let n be u(-2). Suppose 0 = n*m + 7 + 5. Calculate the lowest common multiple of m/((-5)/((-120)/(-9))) and 6.
24
Suppose -z = 5*n - 125, -8*n + 5*n = -3*z - 93. Calculate the least common multiple of n and 12.
156
Suppose -5*r = 2822 + 1533. Calculate the common denominator of 2/(-5) + -4 + r/(-90) and 1*-1 + (-53)/(-20).
180
Let l = 2 + -2. Let q be 0 - ((2 - 4) + l). What is the common denominator of 8/(-44) - q/4 and -49/8?
88
Let q = -37 + 24. Let m = -10 - q. Let y = m + 3. What is the least common multiple of y and 12?
12
Let w be (13/39)/(1/18). Suppose -3*u = -w*u + 3. Suppose -3*b + 5*o + 39 = 0, -2*o = 2*b - 43 + u. Calculate the lowest common multiple of 14 and b.
126
Suppose 3*r = 25 + 5. Suppose r = -4*i + 6*i. What is the least common multiple of i and 14?
70
Let z(f) = 10*f - 6. Let m be z(5). Let j be m/7 - (-10)/(-35). Suppose 3*r + 5*k = j, 4*k = 7*k. What is the lowest common multiple of 3 and r?
6
Let p = -14 + 19. Suppose 3*b = -2*z + 22, 2*b - 2*z - 13 = -p. Let u(l) = 6*l. What is the least common multiple of u(3) and b?
18
Let t be ((-15)/(-6))/(1/2). Let g be ((-295)/(-40))/(t/4). Let w = g + -29/5. Calculate the common denominator of -93/20 and w.
20
Let j(z) = 26*z - 228. Calculate the least common multiple of 3 and j(11).
174
Let r = 3587 - 3585. Let u = 1 + -1. Suppose -p + 7 - 1 = u. Calculate the smallest common multiple of r and p.
6
Let y(c) = -c**2 - 9*c - 23. Let a be y(-7). Find the common denominator of ((-33)/2)/((-9)/8) and a/((-243)/(-6)) + 226/18.
3
Let a be (-2)/(-2)*(-6)/1434. Let x = a + -10267/2390. Let w = 180 + -481/3. Find the common denominator of x and w.
30
Let u = -8 + 17. Calculate the common denominator of (279/(-48))/(u/(-6)) and 13/6*-14*3/12.
24
What is the common denominator of (-34956)/(-3216) + -10 - 1/4 and -115/14?
938
Suppose 0 = -s + 3. What is the least common multiple of 44 and -16*(-2)/(-2 + s)?
352
Suppose 4*b + 36 = 2*r, 3*r + 5*b - 7 = -8. Calculate the least common multiple of r and 4.
8
Let z be 4*(-1)/((-10)/(-668)). Let j = 261 + z. Calculate the common denominator of j and -10/3.
15
Suppose -2*w - 1 = -11. Suppose -4*p + 3*h + 2 + 1 = 0, -w*p - 4*h = 4. Suppose p = -2*o - 4 + 20. What is the smallest common multiple of o and 8?
8
Let i(u) = 2*u - 7. Let v be i(5). Let g(f) = -f - 2. Let k be g(-1). Find the common denominator of k/v - 892/240 and -115/12.
60
Let p = 31006 - 2170323/70. Calculate the common denominator of 41/77 and p.
770
Let s = 2/21 + 11/105. Suppose 2*d - 280 = 2*j, -3*d + 3*j = -2*d - 136. Let q = d + -166. Calculate the common denominator of q and s.
5
Let i(g) = -5*g**2 - 6*g + 25. Let j be i(15). Let l = j - -14317/12. Calculate the common denominator of -17/8 and l.
24
Let g = -255 + 103. What is the common denominator of ((-48)/72)/(g/(-402)) and 119/12?
228
Let r(b) = 13*b - 28. Let a be r(-4). Let u = a + 86. What is the smallest common multiple of u and 4?
12
Suppose -9*l = -4*l + 280. Find the common denominator of -59/18 and 4 + (-1 - (-228)/l).
126
Calculate the common denominator of (-2)/(-9) + (3 - (-3250)/(-612)) and -81/8.
136
What is the common denominator of -83/530 and (5/3)/(70/812)?
1590
Find the common denominator of 2 + 3 - 777/144 and -58/3.
48
Suppose 4*j + 179 - 539 = 0. Suppose 5*h - 62 = 14*r - 10*r, -28 = -4*h - 4*r. What is the smallest common multiple of j and h?
90
Find the common denominator of -157/228 and 15/(-35) + (-1446)/(-189).
684
Let c(h) = -h**3 + 2*h**2 + 9*h - 10. Calculate the least common multiple of c(3) and 157.
1256
Let c = 28 + -24. Let r be 4/10*(-30)/(-2). Suppose -6*f = -5*f - r. What is the least common multiple of c and f?
12
Suppose 0*v + 112 = 4*v. Suppose 2*z - v = -0*t - 5*t, 3*t = -3*z + 15. Calculate the lowest common multiple of 4 and t.
12
Let o = 1370 - 24785/18. Let p be 14/70 - (-9769)/(-510). Let i = -152/85 - p. Calculate the common denominator of o and i.
18
Suppose 0 = n - 5*n + 8. Let u = 2424/5 - 482. Calculate the common denominator of u and n/7 - 371/(-49).
35
Let k = -2272 - -9037/4. Let r = -715 - -4259/6. Find the common denominator of r and k.
12
Suppose -2*d + 10 - 13 = 5*m, d = 2*m + 12. Let z(p) = -2 - p + 3 - 3*p. What is the lowest common multiple of d and z(-1)?
30
Let j(m) = 15*m**2 - m - 1. Suppose -31 - 9 = -5*b. Calculate the lowest common multiple of j(-2) and b.
488
Let a be ((-3)/(-390))/((-3)/(-68)). Let b = a + 1/39. Let o = -1606 + 22427/14. What is the common denominator of b and o?
70
Let h be (-7 + 6)/(2/44). What is the smallest common multiple of 4/h + (-1246)/(-77) and 18?
144
Let z = 12/2989 + -17305/3565877. Let f = z - 41751/4772. Find the common denominator of f and 6/24*172/8.
8
Let q = -26629 + 958717/36. What is the common denominator of 61/208 and q?
1872
Suppose 584 + 316 = 10*u. Calculate the lowest common multiple of 42 and u.
630
Let d be 1/((-153)/39 + 4). Suppose 0 = -3*a - d + 49. What is the smallest common multiple of a and 10?
60
Let p(g) = g**3 + 3*g**2 - 79*g + 9. What is the lowest common multiple of p(8) and 129?
3483
Let a = -68210/9333 - -1414/183. What is the common denominator of a and -41/221?
1989
Let y be ((-39)/9)/(16/(-3)). Let k = 273/16 - y. What is the common denominator of k and 79/4?
4
Let u(q) = 2*q**2 + 6*q. Let f be (1 - 3) + (-67 - 36/(-6)). Let l = f + 83. Calculate the smallest common multiple of u(-4) and l.
40
Let v be (1/20)/(420/635450). Let w = v - 524/7. Calculate the common denominator of w and 41/40.
120
What is the common denominator of -74/63 and (-267)/(-9) - 0 - (-4 + 9)?
63
Let v(w) = -w**3 + 6*w**2 - 2*w + 4. Let o be v(6). Let k = -2 - o. Suppose -u - 5*u = -108. Calculate the smallest common multiple of k and u.
18
Suppose -8*w + 8 + 16 = 0. Suppose 3*z = -2*z + w*t + 25, 4*t + 10 = -5*z. Calculate the lowest common multiple of z and 102.
102
Let j(b) = -b**3 - b**2 + 20. Let r(q) = q**2 + 9*q + 11. Let s be r(-8). Suppose s*y - 3 = 39. Calculate the smallest common multiple of j(0) and y.
140
Let j = 3626 + -57923/16. What is the common denominator of j and 3 + 168/(-36) + (-209)/(-48)?
16
Let w = -1626 + 1656. What is the lowest common multiple of w and 60?
60
Suppose -4*h = -2*v - 54, 5*v = -3*h + 2*v + 45. Calculate the lowest common multiple of 56 and h.
56
Suppose -2*x + 139 = 3*y, -2*y + 0*x + 96 = 3*x. Calculate the smallest common multiple of 20 and y.
180
Let a = -775 - -1581/2. Let j(d) = -d**3 + 6*d**2 + 3*d + 4. Let p be j(4). Calculate the common denominator of ((-134)/(-10))/(p/15) and a.
16
Calculate the smallest common multiple of (-13)/(-78)*606 + 7 and 648.
648
Find the common denominator of (-8)/10 - (-8 - -7) and 77/914.
4570
Suppose -198*a = -183*a - 210. Suppose -2*z = 2 - 20. Calculate the smallest common multiple of a and z.
126
Let m = -1396/3 - -447. Calculate the common denominator of 131/24 and m.
24
Calculate the common denominator of (474/792)/((-1)/(-3)) and -31/26.
572
Suppose -j + 0*a + 4*a - 4 = 0, -a = -4*j + 14. What is the least common multiple of 93/6 - (-1)/2 and j?
16
Let r = 19004849/245 + -77571. What is the common denominator of r and -