 = 5*m. What is the smallest common multiple of m and 9?
450
Let m = -214111/24 - -8915. Let i = 8025051/116 + -69182. Calculate the common denominator of i and m.
696
Suppose 5*r + 4*u - 32 = 32, -3*r + u = -52. Suppose -a - n + 4 = 5, -n + 2 = 0. Calculate the smallest common multiple of 12*3*(-2)/a + -4 and r.
80
Suppose 7*m - 4*m - 16 = 2*k, 4*m = 3*k + 23. Suppose m = 2*t, 0 = 2*l - 3*l - 4*t + 48. Calculate the smallest common multiple of l and 8.
88
Calculate the common denominator of ((-44)/2884)/(60/35) and -64/27.
11124
Let b be (25/(-10))/(20/(-48)). Find the common denominator of 11/344 and 3412/(-208) + b/39 + 0.
344
Let s = -221/28 - -559/42. Find the common denominator of (-2)/7 - 94/(-231) and s.
132
Suppose -d + 4*o = -19, 2*o - 5*o - 16 = d. Let z(y) = -y**3 + 2*y**2 + 33*y - 16. Let s be z(7). What is the lowest common multiple of s*(-3)/(-3)*d and 12?
60
Let y = 23/449 - 14103/3592. Find the common denominator of -29/4838 and y.
19352
What is the smallest common multiple of 1482 and (7/(-3))/((-6)/30 - 2977/(-15210))?
10374
Suppose -6*r + 5*r = -5*y - 49, -3*r + 5*y = -127. Calculate the common denominator of -8 and (-32)/66*r/4.
11
Let z be -1*(-6)/21 - 60/(-35). Suppose 0 = z*a - 16*a + 294. Calculate the lowest common multiple of 18 and a.
126
Let s = 46777/112 - 2896/7. Let n be ((-2521363)/117)/((-8)/(-6)). Let y = -16173 - n. Calculate the common denominator of y and s.
48
Let p(h) = 7*h**2 - 135*h + 641. Calculate the lowest common multiple of (6/8)/((-2)/(-8)) and p(12).
87
Let p = 101997/20 - 25527/5. Calculate the common denominator of 1/(-26)*47/(-2) and p.
260
Let v = -5 + 15. Let n = -293 - -295. Calculate the least common multiple of ((-14)/6)/(v/(-120)) and n.
28
Let i = 1924439 - 11023186691/5728. What is the common denominator of -35/8 and i?
5728
Suppose 4*z - 3*z - 2 = 4*k, 0 = 2*k + 2*z - 4. Suppose d - 6*d - 5 = k. Calculate the common denominator of -4 + 4 - ((-87)/(-12) + d) and 73/12.
12
Let h(f) = f**2 + 11*f - 11. Let c be h(-12). Let p be c/(3/(-24)*-4). Find the common denominator of (p + 13)/5 + (-249)/54 and 49/27.
54
Let k(t) = -t**3 - 121*t**2 + 243*t + 179. Calculate the least common multiple of 1918 and k(-123).
3836
Suppose 0 = 3*s - 529 + 403. What is the least common multiple of 1 and 2*(12 - s/(-7))?
36
Let l(s) = -93*s + 165. Let r be l(19). What is the common denominator of (9/(-48))/((-3)/(-55)) and r/24*(-6)/153 + -3?
272
Suppose 0 = -m - 3*n + 48, -277 = -4*m + 14*n - 9*n. Find the common denominator of -74/21 and 3 - -34*(-6)/m.
21
Let f = 13768 - 303005/22. Let q be (-118437)/2 - (-6)/(-4). Let j = -6751001/114 - q. Calculate the common denominator of j and f.
1254
Let q(t) = -t**3 + 10*t**2 + 44*t - 231. Calculate the smallest common multiple of q(12) and (5/(-3) - -1)*(-99)/2.
99
Calculate the common denominator of 31/225 and ((-3717)/10384 - (-12)/22)/((-189)/(-596)).
6300
Let o be -34 + 36 + 36 + (4 - 2). Calculate the common denominator of -41/24 and (-3)/6 + (-146)/o.
120
Let b(r) = -4*r - 56. Let o(k) = 2*k**2 - 17*k + 12. Let g be o(5). What is the least common multiple of 104 and b(g)?
936
Let w = -486 + 16539/34. Calculate the common denominator of -75/232 and w.
3944
Let d(x) = -x**3 + 22*x**2 + 174*x + 10. What is the lowest common multiple of 48 and d(-7)?
3408
Let t = -21481 - -2362939/110. What is the common denominator of t and 79/220?
220
Let j = -76541/9390 + -24/1565. What is the common denominator of -55/6442 and j?
19326
Let l = 367 - 559. Let h = l + 290. Let k = -74 + h. Calculate the smallest common multiple of k and 6.
24
Suppose 2*y - 700 = 4*h, -y + 19 = -3*h - 332. Calculate the least common multiple of y and 116.
348
Suppose -110*z + 102*z = 320. Calculate the common denominator of (-82)/130 + 12/z and -113/78.
390
Let m = -30/19 + 547/190. Calculate the common denominator of m and 1361/1316 - (-2 - 54/(-21)).
940
Let j(h) = 6*h**2 + 23*h - 1. Suppose 0 = l - 14 + 18. Calculate the lowest common multiple of 10/2 + -1 + 1 and j(l).
15
Suppose -12 = -4*j + 2*f + 44, 6 = 3*f. Let c(r) = -624*r - 5656. Calculate the common denominator of j and c(-9).
1
Calculate the common denominator of -40/9 and 98/(-7) + (-49980)/(-3504).
2628
Suppose 32 = -4*t + 72. Find the common denominator of -17/90 and t/32*(1 + (-196)/21).
720
Suppose -13*z - 95 = -303. Suppose -p + z + 2 = 0. What is the least common multiple of p and 15?
90
Let f = 427 + -168. Let y = f + -253. What is the least common multiple of y and 2?
6
Let z = -167 - -37. Let w = z + 196. Calculate the smallest common multiple of w and 12.
132
Suppose 3*f = 3 + 18. Let i be f/14*-350*1. What is the common denominator of (-50)/i - 143/84 and -10/21?
84
Suppose 6 = a + v, -4*a - 3*v = -2*a - 10. What is the smallest common multiple of 12 - (6 + (3 - a)) and 8?
88
Suppose -2*o - 6 = -3*d, 0*o + 34 = 6*o + 4*d. What is the lowest common multiple of 36 and o?
36
Let w = 32778 + -5047905/154. What is the common denominator of w and -7/704?
4928
Suppose 3*s = -c + 14, c + 0*s - 4*s = 42. Let g(a) = a**3 - 27*a**2 + 29*a - 56. Calculate the least common multiple of g(c) and 34.
374
Let s = -517 + 488. Let k(r) = r**3 + 29*r**2 + 2*r + 123. Calculate the lowest common multiple of k(s) and 25.
325
Let s be (638830/64)/(-5) + 0. Let x = 7989/4 + s. Let k = -5/247 + -7143/988. Find the common denominator of x and k.
32
Let n(j) = -3 - 3 - 2*j + 4*j**2 - 2*j**2 + 8. Let u be n(-9). Suppose 148 - u = -m. What is the least common multiple of m and 10?
170
Let r be 4/(-10) + 208/20. Let c be (r/(-4))/(5/70). Find the common denominator of ((-15)/c)/(20/14) and 71/42.
210
Let d = 323 - 315. Suppose -4*q - 12*z + d*z + 28 = 0, -2*q - 4*z = -16. What is the lowest common multiple of 6 and q?
6
Let w = -2/40811 - 2611722/3713801. Find the common denominator of w and -2/13.
91
Calculate the least common multiple of (-1302)/(-63)*(7 + 845) and 22.
193688
Let w be (-30)/(-8) - (-6)/(-8). Suppose w*z - 2 = 4. Suppose -4*u = 12, 87 = 5*q - u + z*u. Calculate the least common multiple of 3 and q.
18
Let m = -1654928 + 6325134775/3822. What is the common denominator of m and -53/130?
19110
Suppose -23 = u + 5*m, -4*u = 4*m + m + 17. Calculate the lowest common multiple of u and 83/4 + ((-15)/4)/5.
20
Suppose 5*n = f - 3*f + 19, 0 = -5*n - 3*f + 16. Find the common denominator of (-405)/(-72) + n + 0 and -25/59.
472
Suppose -2675 - 1525 = -y - 9*y. Calculate the smallest common multiple of 126 and y.
1260
Let w be (-5)/(10/8) - 5/(-1). Let r be (-2)/1 + -655 + w + -5. Let m = r + 7865/12. Find the common denominator of m and 49/12.
12
Let y = 76702/5 + -28226081/1840. What is the common denominator of -33/1840 and y?
1840
Let p = -11 + 59. Let d = -44 + p. Suppose -3*m + 4*y = m - 36, 0 = -d*m - 5*y. What is the smallest common multiple of 12 and m?
60
Suppose -6*d + 9*d - 90 = 0. Calculate the smallest common multiple of (0 - -77) + 20/50*(-5)/(-2) and d.
390
Let l(r) = -r**3 + 9*r**2 - r - 18. Let u(s) = -s**3 - 12*s**2 - 23*s - 24. Let t be u(-10). Calculate the least common multiple of l(t) and 60.
420
Let w = -6039 + 6040. Let v = 7 + -4. Calculate the least common multiple of v and w.
3
Suppose 22*b - 1507 = -319. What is the smallest common multiple of 336 and b?
3024
Let v be (10 - (-7 + 3))*8. What is the common denominator of 875/v*(-8)/6 and 39/20?
60
Let i = -2597425/463032 + 1229/218. What is the common denominator of i and -37/48?
8496
Let f(g) = 4*g**2 - 2*g + 6. Let m be f(0). Suppose 28 = 4*p + 2*d, 2*d + m = 2*p - 2. Calculate the smallest common multiple of p and 9.
18
Let q = 16288 + -16283. Let l = -7 - -10. What is the least common multiple of l and q?
15
Let h be (6/52)/(12/(-28)). Let n = h - -56/39. What is the common denominator of 65/38 and n?
114
Let t(j) = 3*j + 2. Let w be t(0). Suppose 6*l - 36 = -d + w*l, -4*d + 99 = l. Calculate the least common multiple of d and 63.
504
Let x be (-2 - -1) + 3 - 77. Find the common denominator of 12/x*1190/28 and 97/2.
10
Let r(u) = -u**2 - 30*u - 35. Let j be r(0). Let l(i) = -i - 33. What is the least common multiple of 8 and l(j)?
8
Let d(j) be the second derivative of 659*j**3/3 - 35*j**2/2 + 18*j. Let s be d(14). Let m = s - 736577/40. Calculate the common