5*d + 23 + 27 = 0. What is the lowest common multiple of p and 10?
10
Suppose 2*k = -6 + 86. What is the lowest common multiple of 20 and k/(-50)*(-70)/4?
140
Let i(z) be the third derivative of z**4/24 + 7*z**3/6 - 12*z**2. Let y = 16 + -9. Calculate the smallest common multiple of y and i(2).
63
Let r(p) = 6*p**2 - 17*p - 13. Calculate the smallest common multiple of 55 and r(-2).
495
Suppose 2*j + 3*r - 155 = 0, -34*j + 35*j + 4*r = 90. What is the smallest common multiple of j and 56?
280
Let k(m) = m + 5. Let w be k(5). Suppose 6*t + 2*d + w = 5*t, 5*t - 2*d + 14 = 0. Find the common denominator of t/((-264)/(-321)) + 0 and 89/18.
198
Let c = -50 + 59. Suppose -3*b + 4*s - 11 = 0, 4*s - 2*s = 4*b + 18. Let o(h) = -h + 2. What is the lowest common multiple of o(b) and c?
63
Let z = -74 + 84. What is the common denominator of -13*((-1)/1)/(-5) and (19/z + -2)*-96?
5
Let o = 445 - 1803/4. What is the common denominator of 95/2 and o?
4
Calculate the common denominator of 12/44 - 2037/(-6083) and -61/10.
790
Let w be ((-2)/4)/((-2)/388). Let a = 23 - w. Calculate the lowest common multiple of 11 and (-1)/6 + a/(-12).
66
Let a(v) = -v + 12. Let n be ((-2)/4 - -1)*(0 - 0). Calculate the smallest common multiple of 4 and a(n).
12
Let d = -4 - -4. Suppose -4*w + 0*w = d. Calculate the common denominator of 808/96 - (w + 1) and 57/2.
12
Let t = -1030 + 1210. Calculate the lowest common multiple of 54 and t.
540
Let o = 2 + -9/2. Let m(q) = 1. Let i(k) = 4*k. Let j(g) = i(g) + m(g). Find the common denominator of j(6) and o.
2
Suppose -3*f = 2*k - 0*k - 3528, 4*f + 7096 = 4*k. Let w be k/33 + 1 + 0. Let o = w + -55. What is the common denominator of o and 22/5?
55
Suppose -3*x + k + 2 = -6*x, 4*x = -5*k + 1. Let j be 451*1/(-1) - x. Calculate the smallest common multiple of 10 and j/(-20) + (-1)/2.
110
Suppose 5*q - 5 = 0, 212 - 517 = -5*m - 5*q. Calculate the least common multiple of 90 and m.
180
Suppose 18 = t - 4*t. Let w(q) = 39*q**2 + 5*q + 5. Let h be w(t). Let c = h - 4067/3. Find the common denominator of -1/16 and c.
48
Let x = 37 - 23. Suppose -p + 0 = -x. Calculate the common denominator of 7/p + (-147)/(-48) and -13/22.
176
What is the smallest common multiple of 8 and ((-12)/(-10))/(12/1160)?
232
Let w(m) = 3*m - 4. Let a(h) = 9*h - 13. Let b(n) = 4*a(n) - 11*w(n). Calculate the least common multiple of b(10) and (1690/45 - 8) + (-12)/(-27).
330
Let i(q) = -q**3 + 10*q**2 - 9*q + 6. Let c be i(9). What is the least common multiple of c/50*5*5 and 4?
12
Let z be 2 - -1 - (-4 - -57). Let l be 9/(-6)*(-326)/z. Let j = l - 18/25. Find the common denominator of -2/7 and j.
14
Calculate the common denominator of 83/24 and 207/(-56) + 5 - (-2)/4.
168
Let r be 0/(2*(2 + (-20)/8)). Suppose r = -18*u + 15*u + 33. What is the smallest common multiple of u and 6?
66
Let u be 2*(-1)/5 - (-2599)/(-565). Find the common denominator of 95/28 and (u/(-60))/(2/186).
28
Let v(c) = -c**3 - 40*c**2 - 112*c + 31. What is the smallest common multiple of v(-37) and 442?
884
Calculate the common denominator of 0 - ((-675)/440)/5 and -37/99.
792
Suppose 0 = y + 8 - 32. Suppose d + y = 5*d. Suppose -8*o + 16 = -3*o - 3*g, o = g + 4. What is the lowest common multiple of o and d?
6
Suppose -s = 222 - 225. What is the lowest common multiple of 11 and s?
33
Suppose -4*w + 0*w = -64. Let z(v) = v**2 - 20*v + 23. Let l be z(20). Let r = l - 19. Calculate the smallest common multiple of r and w.
16
Let k(m) = -2*m + 2. Let c be k(-2). Let g be 110/15 - (-4)/c. Suppose 3*y - g - 4 = -3*r, 4*r - y = 26. What is the lowest common multiple of 4 and r?
12
Let h = -1209 + 1405. Calculate the least common multiple of h and 7.
196
Suppose 0 = 2*a - 5 - 1. Suppose a*y + 4 = 2*y - 5*p, 3*y + 4*p - 21 = 0. Calculate the least common multiple of (-13)/(-3) - 2/(-3) and y.
55
Let z = -104/9 + 1009/18. Let f(p) = -5*p**2 + 5*p. Let l be f(3). What is the common denominator of z and (5/l - 0)*14?
6
Let r = 2/6009 - 202315/36054. Calculate the common denominator of r and 13/54.
54
Let g = 7073/4 + -1788. Let d(b) = -12*b**2 - b - 4. Let f be d(3). Calculate the common denominator of 8/36*f/(-4) and g.
36
Suppose -16*i - 347 = 965. Let b = 91 + i. What is the lowest common multiple of b and 27?
27
Let c = 493/20 + -67/5. Let v(g) = 4*g**3 + g - 1. Let r be v(1). Find the common denominator of c and ((-104)/28 + r)/((-2)/(-11)).
28
Let y be 0/(-3) + (-31 - 1). What is the common denominator of -105/26 and (-38)/y - (-3)/(-1)?
208
Let h(y) = 11*y**2 + 1. Calculate the lowest common multiple of h(-1) and -5 + (135/(-54))/(2/(-20)).
60
Let d = -41 + -4. Find the common denominator of 109/78 and 4110/d*2*(-2)/16.
78
Let u(l) = -20*l - 14. Calculate the least common multiple of u(-2) and 54.
702
Let m = 22 + 20. Let q = -767/85 - 292/17. Let c = -358/15 - q. Calculate the common denominator of c and m.
3
Let n be 27/63 - 11906/14. Calculate the common denominator of 2/(-4)*n/110 and -113/30.
330
Let l = -126 + 123. What is the smallest common multiple of 10/(l + (-70)/(-22)) and 25?
275
Let q = 1611 + -14429/9. Calculate the common denominator of q and -37/471.
1413
What is the common denominator of 41/111 and (17/12)/((-108)/48)?
999
Suppose 5*f = 2*f - 54. Suppose 4 - 23 = -g. What is the common denominator of 40/(-6)*12/f and g?
9
Let v = 10474562/9 - 1165403. Let m = v - -1565. Calculate the common denominator of m and 1341/168 + (-1)/(-7).
72
Let k = -421 - -446. Calculate the lowest common multiple of 8 and k.
200
Suppose -2*u = -0*u - 36. Let z = 12 - -17. Suppose 0 = -7*q + 13 + z. Calculate the lowest common multiple of u and q.
18
Suppose 4*y = y + 9. Suppose -y*t - x + 5*x + 49 = 0, 4*t = 3*x + 56. Let p(f) = -f**3 + 10*f**2 + 14*f - 13. What is the lowest common multiple of p(t) and 22?
220
Suppose -r - n = -5*r + 8, 0 = -3*r - 2*n + 17. Let x = -107/15 - -31/3. Calculate the common denominator of x and (-4)/r*(-20)/25.
15
Calculate the common denominator of (5 - 828/164)*195/70 and 43/8.
2296
Let c = 10979 - 219489/20. Let x = 2734/3 - 1797/2. What is the common denominator of x and c?
60
Let l be ((-2)/(-4))/(2/(-16)). Suppose -1308 = 2*m - 0*m - 3*u, 654 = -m - 4*u. What is the common denominator of l/(-42)*m/8 and -47/12?
84
Suppose -19*u = 5 - 5. Calculate the common denominator of 67/12 and u + -1 + 664/(-64).
24
Suppose 0 = p + p + 32. Calculate the smallest common multiple of 2 and (-1)/((-4)/p) - -34.
30
Let j = -2857893003 - -28663380577/10. Let y = 8452607 - j. Let t = y + -7546. What is the common denominator of t and 8/3?
30
Let h = 90 - 56. What is the common denominator of h and (-99)/(-24) - (1/18)/(48/108)?
1
Calculate the lowest common multiple of ((-46)/(-6) + -6)*3 and 38.
190
Let x = 38407/20160 + -1/2880. Find the common denominator of -3/28 and x.
84
Suppose 3*p + 2 = 14. Suppose 0*y = 5*y + p*u + 3, 0 = 4*u + 8. Calculate the lowest common multiple of 2 and y.
2
Let v be (-1 - -1)*(-2)/4*1. What is the common denominator of v/3 + 5 + (-99)/4 and -10?
4
Suppose 1256 = 4*i + k, -213*i = -218*i - 2*k + 1567. Calculate the smallest common multiple of i and 45.
315
Let w = 10/743 + -20201/10402. What is the common denominator of w and 23/20?
140
Let h(v) = -5*v**3 + 4*v**2 - 5*v + 4. Let s be h(2). Calculate the lowest common multiple of s/(-9) - (-3)/(-9) and 31.
93
Suppose -2*v - 4 = -20. Suppose 0 = -15*o + 10*o + 20. Calculate the least common multiple of v and o.
8
Suppose -j = 5*w - 32 + 7, -2*j = -w + 16. Calculate the smallest common multiple of w and 12.
12
Suppose -w - 4*z - 220 = -3*w, -538 = -5*w - 2*z. Calculate the common denominator of (-573)/w - (-3 - 44/(-16)) and 71/26.
234
Suppose -3*q - 26 = 2*w, -3*w - 8 = -4*q - 37. Calculate the smallest common multiple of 10 and (-66)/q - (-8)/(-32).
40
Suppose -4*h = 3*c + 1, -2*h + 6*c = 3*c - 13. Calculate the common denominator of -85/8 and ((-4)/50)/(h - 222/110).
40
Let t = -559/12 + 157/4. Calculate the common denominator of -17/7 and t.
21
Let m = 61 + -43. Suppose -64 = -0*t - 8*t. Suppose t*v - 5 - 27 = 0. Calculate the least common multiple of v and m.
36
Let n = -140719/80751 - -1/4894. Calculate the common denominator of 6/36 - (2 + -11) and n.
66
What is the common denominator of 65/