24
Suppose -5*v = -16*c + 21*c - 195, -3*v + 4*c + 138 = 0. Calculate the least common multiple of 168 and v.
168
Suppose -4*t - 5*h = 10, 5*t = -h - 3*h - 8. Let k = 15 - t. Suppose 0 = -3*l + l - 4, -d + 2*l + k = 0. Calculate the lowest common multiple of 10 and d.
110
Let a(q) = -15*q + 9. Let y be a(-5). Suppose -2*j - 37 = -u - 11, -y = -4*u + 4*j. What is the least common multiple of u and 2?
16
Let w = 27 + -23. What is the lowest common multiple of 1 and 6/w*(-60)/(-18)*2?
10
Let n = 5519 - -3591. Let s = -200353/22 + n. Find the common denominator of 95/22 and s.
22
Let g be (-1235020)/120 + (-8)/(-2). Let k = g + 10264. What is the common denominator of 31/6 and k?
6
Let z be (70/6 + 1)*-6. Let l = 457/6 + z. Find the common denominator of l and 4/1 - (-9)/6.
6
Let f = -17221387/12848 - -668/803. Let r = f + 1339. Calculate the common denominator of 1/2 + 10/48 and r.
48
Let s(w) = w**3 - 8*w**2 + 7*w + 2. Let o be s(6). Let y = -20 - o. Suppose 4*f - y = 3*f. Calculate the least common multiple of 14 and f.
56
Suppose 36 = 4*g - 2*z, -4*g + 2*z - 41 = -7*g. What is the lowest common multiple of (-5)/(10/(-6)) + (54 - 1) and g?
616
Let j = -6 - -8. Suppose j*b = 5*g - 44, g = 5*b - 7 + 2. Let o(w) = -68*w + 3960. Calculate the lowest common multiple of g and o(58).
80
Calculate the least common multiple of (-77)/(-22)*(-40)/(-14) and 80.
80
Let i be ((-1)/3 + 1)*(-459)/(-102). Suppose -a + i*a = -2*u - 2, 0 = -3*u + 5*a + 21. What is the least common multiple of u and 20?
20
Suppose 14 = -21*u + 35. Suppose -2*o = -a + 2 + 7, 45 = 5*a + 5*o. What is the least common multiple of u and a?
9
Let l(y) = -y + 66. What is the smallest common multiple of l(12) and 66?
594
Find the common denominator of 37 and (-554)/(-172) + (-6 - -3).
86
Let i be 2/6 + 22/6. Let p be 8/(0 - i/(-20)). Calculate the common denominator of p/9 + 2/(-3) and 27/10.
90
Suppose 3*l + q = 80, 3*q - 100 = -4*l - 0*q. Let u = 643 - 639. What is the smallest common multiple of l and u?
28
Find the common denominator of (-115)/6 - (-9 - -11) and -125/636.
636
Let j(y) be the third derivative of -y**5/60 - 7*y**4/24 - 5*y**3/6 + 3*y**2. Let s be j(-6). Suppose -s = 4*i - 45. Find the common denominator of -25 and i.
1
What is the common denominator of (-16)/(-176)*(0 - (-68)/(-2)) and -85/2?
22
Let i be (21 - (-2 + 4)) + 0. Let k = i - 13. Calculate the lowest common multiple of k and 10.
30
Let a = -2677 - -53587/20. Calculate the common denominator of a and (-1 - (-175)/96) + -1.
480
Let t(z) = z**2 - 48. Let x be t(7). Calculate the common denominator of (54/96)/(x/(-10)) and 47/84.
168
Let j = -74 + 109. Suppose -3*l + r - 50 = -0*r, 2*l + j = r. Calculate the common denominator of (-75)/4 + (l - -12) and 39/10.
20
Let q = 180594667/354 - 510154. Calculate the common denominator of q and 19/531.
1062
Suppose -8*a - 56 = -12*a. Suppose -2 = -4*n + a. What is the common denominator of -5/11 and n/(-6) - 1265/(-30)?
22
Suppose -827 = 8*b - 1307. What is the lowest common multiple of b and 27?
540
Let x(k) = -k**2 - k + 3. Let c be x(0). Suppose -6 = -c*g, 248 = 2*i + 7*g - 2*g. Calculate the least common multiple of i and 4.
476
Let w be (-3113591)/(-132) + 28/42. Let o = w - 23586. What is the common denominator of 35/8 and o?
88
Let u = -213/50 - -1/100. Suppose 2*m + d - 2 = 0, -11 = 2*m - 5*d + 11. What is the common denominator of u and (-73)/2*m/(-8)?
16
Suppose w - 3*i = 11, 0 = -2*w + 2*i + 4 - 2. Let v be 48/30*(-10)/w. Suppose n - v = 7. Calculate the smallest common multiple of n and 8.
88
Suppose -10*k + 159 = -41. Suppose k = 8*z - 6*z. Calculate the lowest common multiple of z and 22.
110
Let f be (0 + 3 + -4)*-60. Suppose -5*n - c + f = 4*c, 30 = 4*n - 5*c. Calculate the least common multiple of 81 and n.
810
Let x = 396179/34 + -11654. Calculate the common denominator of x and 80/51.
102
Let v(s) = -3318*s - 1. Let o be v(2). Let j = o + 66459/10. Calculate the common denominator of -13/10 and j.
10
Suppose -3*j = 4*h - 6, 4*j - h = -4 + 12. Suppose -5*q = j*n - 21, q - 2*q + 12 = 3*n. Calculate the smallest common multiple of 9 and q.
9
Let i be 4/20 + (-270)/(-25). Find the common denominator of 12/6 + 21/6 and i/3*(-84)/(-8).
2
Let c(m) = -6*m**3 + 26*m**2 - 7*m + 2. What is the least common multiple of 264 and c(4)?
264
Let f = 51 + -37. Suppose 66 + 14 = 4*n. Calculate the lowest common multiple of n and f.
140
Let o(h) = -h. Let a be o(0). Suppose 5*j - 9 = -a*j + d, 4*j = -2*d + 10. What is the common denominator of -69/16 and (j/40)/(14/(-875))?
16
Suppose -2*c = -6*c + 16. Let g be (-1)/2 - (-11)/22. Suppose c*x = 2*l, 0 = 3*l - g*l - 5*x - 5. What is the lowest common multiple of 8 and l?
40
Let s = 2/163 + -175/978. Calculate the common denominator of s and 2 + (-3 - 177/(-54)).
18
Let j = 2/7911 + 387605/134487. Let b = -4109/4 + 1008. What is the common denominator of j and b?
68
Suppose -4*g = -2*k - 4, -28 = -7*g + 3*g - 4*k. Suppose -g*u + p = 5*p - 79, 5*p - 48 = -2*u. Calculate the least common multiple of 8 and u.
232
Let q(n) = 2*n + 15. Suppose -5*w = 28 - 3. Let i be q(w). Suppose -61 = -4*b - i*k, 4*k = -b + 3*b - 24. What is the lowest common multiple of 8 and b?
56
Let n = -68980801/270 - -255484. Calculate the common denominator of n and 133/60.
540
Suppose -134 = 7*t + 6. What is the common denominator of (9/14)/((18/t)/9) and (-259)/40 - 2/5?
56
Let u = -102629687/3985 + 25754. Let r = u - 530023/23910. Let n = 2769 - 19336/7. Find the common denominator of n and r.
42
Calculate the common denominator of -52/15 and 7/((-2 + 762/(-24))*-1).
135
Suppose 0 = -5*m + 10. Suppose -3*i + m*t + 17 = -0*t, -5*i - 4*t = -21. Suppose 5*l = -i, -2*l = -v - 3*l + 8. What is the lowest common multiple of 1 and v?
9
What is the common denominator of (-5 - -1) + 44287/10720 and 141/140?
1120
Suppose 46*x - 48*x - 5*j = -35, j - 39 = -2*x. What is the least common multiple of 448 and x?
2240
Let a be 343265/25 + (-4)/(-10). Let c = 164627/12 - a. Let u = 36/11 - -691/88. What is the common denominator of u and c?
24
Suppose -4*r - 12*f = -17*f - 1279, 0 = -r - 2*f + 336. What is the smallest common multiple of r and 18?
2934
Let a be 382/920*(-2 - (-485)/(-20)). Let t = 157/16 + a. Calculate the common denominator of 41/4 and t.
92
Let f(z) = 2*z + 30. Let g be f(-19). What is the smallest common multiple of 2 and 12/g*(-84)/9 - 0?
14
What is the least common multiple of 7/(-2)*174/(-29) and 13?
273
Let s(z) = -2*z**3 - 2 - 202*z**2 + 207*z**2 - 4*z + 3*z**3. Let q = 11 - 16. What is the least common multiple of 12 and s(q)?
36
Let s be (-1)/(-3) + (-130)/30. Let t = s + 14. Let m(g) = -g**2 + 5*g - 2. Calculate the lowest common multiple of m(3) and t.
20
Let z(m) = -2*m + 13. Let y be z(11). Let p = 10 + y. Suppose 3*n - 15 = 3. Calculate the smallest common multiple of p and n.
6
Let u(x) = x**2 + 13*x + 34. Let d be u(-15). Suppose 5*r - g - d = 3*g, -r + 8 = 4*g. Let c(l) = -l + 10. Calculate the smallest common multiple of c(6) and r.
12
Let w(o) = -o - 6. Let m be w(5). Suppose f + 20*f = 210. What is the smallest common multiple of m*2*(-1)/2 and f?
110
Let c = 10881 - 4363286/401. What is the common denominator of -119/10 and c?
4010
Suppose -25*a = -26*a + 4. Suppose 5*f - 9 = a*f. What is the lowest common multiple of 18 and f?
18
Suppose 0 = -9*b + 10*b + a - 16, -b - 3*a + 24 = 0. What is the lowest common multiple of b and 8?
24
Suppose 4*t - 890 = -2*c, -436 = 36*t - 38*t - 4*c. Calculate the lowest common multiple of 2 and t.
224
Let c(h) = 56*h**2 + h - 1. Let u be c(1). Let m = -32 + -12. Find the common denominator of m and 4/10*2345/u.
4
Suppose -35 = -w - 3*y, y - 45 - 172 = -5*w. What is the lowest common multiple of w and 35?
1540
Suppose -43 = -7*d + 83. Suppose -r + 136 = 3*q, 4*r + 4*q - 548 = 4. Let l = r + -33. What is the smallest common multiple of d and l?
954
Let t = 12 + -14. Let f be 0 - t/((-34712)/(-12)). Let a = f + 342745/52068. Calculate the common denominator of -25/28 and a.
84
Let x = -72 + 111. Suppose 0 = 4*l + 3*y - x, l - 1 - 10 = -y. Calculate the smallest common multiple of 16 and l.
48
Suppose -6*r = -5*r - 4. Suppose 3*o = r*o - 5. Suppose t + 3*t = 44. Calculate the lowest common multip