
5
Let v = -58 + 21. Let q = v + 45. What is the smallest common multiple of 8 and q?
8
Suppose -2*i - 28 = q + 245, 650 = -5*i + 4*q. Find the common denominator of 2/48*-2*29 and -4 + 0 + i/(-24).
12
Let d(p) = -p**3 + 8*p**2 - 6*p + 5. Let z be d(7). Find the common denominator of 780/(-32)*(-8)/z and -7/9.
36
Let l be (-12)/(-5) + (-6)/15. Suppose 6 = l*i - 6. Calculate the lowest common multiple of i and (2/(-3) - -5) + (-4)/(-6).
30
Find the common denominator of -11/3 and ((-74360)/(-144))/11 - (-8)/(-18).
6
Let l = -148411/316316 + 582/869. What is the common denominator of l and 9/104?
728
Let s = -508/15 - -141/5. Calculate the common denominator of s and 52/637 - 2/4.
294
Suppose -n + 3*o - 48 = 0, -n + 0*n - o - 36 = 0. Let t = n - -59. What is the least common multiple of 2 and (48/t)/(4/30)?
18
Let w = 1664 - 18278/11. Find the common denominator of (-183)/84*24/18 and w.
231
Suppose 72*t = 67*t + 145. Suppose 0 = 2*g - 7 - t. Calculate the smallest common multiple of 6 and g.
18
Let q(i) = -24*i - 231. Suppose 89 = 4*p - 19. What is the least common multiple of q(-10) and p?
27
Let n be 1*(1 - -11)*-1. Let f = n + 6. Find the common denominator of 121/6 and (-71)/f*12/(-32).
48
Suppose -24 = -4*p + 24. Let v be 5/(-3)*(5 - 2). What is the lowest common multiple of (v/5)/((-3)/p) and 9?
36
Let y = 97 - 57. Calculate the common denominator of 2/y*86 - 0 and 2/(448/(-114) + 4).
10
Suppose 0 = 3*v + 6, -7*d + 2*d = 2*v - 246. What is the least common multiple of d and 10?
50
Let w = -263/963 - 1/214. Find the common denominator of (219/24)/((-483)/(-84)) and w.
414
Let b = -1748211/56 + 31219. Calculate the common denominator of 81/200 and b.
1400
Let m(y) = -y**2 + 14*y + 20. Let s be m(9). Suppose 0 = -4*j - 2*d + 1 + s, 4*d + 36 = 4*j. Calculate the least common multiple of 26 and j.
182
Let t = 816 - 804. Calculate the smallest common multiple of t and 28.
84
Let o be 57/21 + 4/14. Suppose o*z - z + 18 = 0. Let s = 17 + z. What is the lowest common multiple of 10 and s?
40
Let y be ((-7729645)/15)/((-4)/10). Let l = 1291429 - y. Let c = -3134 + l. Find the common denominator of -51/2 and c.
6
Let d be (-1 - 3)*1/4. Calculate the common denominator of d/(-4) - (-27)/(-12) and ((-156)/(-48))/(((-2)/(-12))/(-1)).
2
Suppose -3*f - 5*v + 16 = -82, 4*v + 152 = 4*f. Calculate the lowest common multiple of 54 and f.
108
Suppose -173 = -7*v - 1433. What is the common denominator of (-442)/v + (70/25)/(-7) and -73/26?
234
Let z = -18/41 + 47/574. Let h = 18544 - 9226. Let x = 149011/16 - h. Calculate the common denominator of z and x.
112
Let r be (((-105)/(-10))/(-7))/6*0. Suppose 0 = 2*h - 4*k - 8, r = h - 0*k - 4*k - 2. What is the smallest common multiple of h and 11?
66
Let x = 32 + -16. Suppose -2*t - h + 2*h = -9, 4*t = 5*h + 27. Suppose 12 = 3*g - t. What is the lowest common multiple of g and x?
80
Let b = -164/31 - -4567/1209. Calculate the common denominator of b and -56/27.
351
Calculate the common denominator of (-6)/(-6) - (-456)/(-297) and 73/33.
99
Let m = 13518 + -243413/18. Find the common denominator of (-180)/(-56) + (-2)/7 and m.
126
Let a = -7 - 1. Let t = 2542 - 17846/7. Find the common denominator of t and 155/(-44) + (-2)/a.
77
Let n(c) = c**3 + 22*c**2 + 20*c - 18. Let w be n(-21). Let h be w + -2 - (-812 + 7). Let b = 8027/10 - h. Find the common denominator of b and -22/5.
10
Suppose 0 = 9*q - 2*q - 77. What is the smallest common multiple of 21 and q?
231
Let b = -30894951/3230 + 9565. Let h = b + 56531/19380. Find the common denominator of 1 + ((-148)/(-24))/(-1) and h.
12
Suppose 2*f = 6*f - 3*z - 87, 3*z = -f + 18. Calculate the smallest common multiple of 16 and ((-35)/f)/(5*(-4)/24).
16
Let v = 1551/2 + -6303/8. Find the common denominator of 4/2 - 6/10 and v.
40
What is the common denominator of -65/2 and (-6)/((-72)/354)*1/42?
84
Suppose -b + 8 = -4*k + 2*k, -2*k - 2 = 2*b. Let h(d) = d + 1. Let f be (-1 - -6)*(-8)/(-10). Calculate the least common multiple of h(f) and b.
10
Suppose -700 = -15*f + 2900. What is the smallest common multiple of 204 and f?
4080
Calculate the lowest common multiple of 10 and 2 - (-1)/(-1) - (-25 + 18).
40
Calculate the common denominator of -93/10 and (0 - 1926/(-516)) + -4.
430
Let l(i) = -8*i + 37. Let y be l(5). Calculate the common denominator of 133/36 and (y/12)/(5 - 2).
36
What is the common denominator of 119/390 and (-12640)/26208 + (-6)/(-21)?
1170
Let o = -73259 + 8790961/120. Find the common denominator of o and 103/24.
120
What is the common denominator of (-8)/(-10) - (-976)/1080 and (-4 + 7)*2/(-54)*31?
27
Suppose -l + 6*l = j - 567, 0 = l. What is the least common multiple of j and 10?
5670
Suppose -7*q - 30 = -10*q. Calculate the common denominator of -13/3 and 95/q*(-3)/(-2).
12
Let n(y) = y**2 + 9*y + 8. Suppose 65 = -5*t + 3*b, t + 5*b - 9 = 6. What is the smallest common multiple of n(t) and 18?
18
Suppose 3*m = -5*k + 17, -4*m - 2 = -k - 17. Calculate the least common multiple of (-24 - 0)/(9/(-6)) and k/(2*2/72).
144
Calculate the common denominator of -17/60 and (-3)/(45/164) + (-3 - -8).
60
Let r(s) = 4*s**2 - 45*s + 59. What is the smallest common multiple of 72 and r(10)?
72
Suppose -i = 8 - 10. Let d be 1*i*27366/(-54). Let x = d + 1015. Calculate the common denominator of 61/30 and x.
90
Let i = -1411/3 - -464. Find the common denominator of 43/225 and i.
225
Let v(r) = r**3 + 9*r**2 + 12*r + 2. Suppose -20 = -2*w - 3*w. Suppose s - 2*a = -2, w*s = -2*a - 33 - 5. Calculate the common denominator of v(s) and -23/10.
10
Let b = -51 + 43. What is the common denominator of (((-72)/b)/45)/(22/(-5)) and ((-226)/12)/((-10)/3)?
220
Suppose 350*j + 50 = 360*j. Suppose 5*v - 267 = 3*u, -v = 3*u + 22 - 79. Calculate the smallest common multiple of j and v.
270
Let z = -3 - -3. Suppose 0 = 3*a - z*a - 3. Suppose 0 = -2*b + 9 - a, -5*n + 27 = -2*b. Calculate the least common multiple of 9 and n.
63
Let d = 1 + -4. What is the common denominator of (-2)/((-220)/95) + d and -119/18?
198
Let m = 45254/38385 + -1/853. What is the common denominator of m and 13/63?
315
Let j be (9/(-6) + 2)*78/(-3). Let l = j + 19. Calculate the least common multiple of 10 and l.
30
Let q be (-12)/(-6) + -2*(-3 + 2). Suppose 5*f = 2*t - 3, q - 15 = -4*t + 5*f. Calculate the smallest common multiple of t and 11.
44
What is the lowest common multiple of 64 and 6/(-2) + (7 - -4)?
64
Let v = 277415/23864 - -1/5966. Let i = -2/2719 - -29937/38066. Find the common denominator of v and i.
56
Let p = -7 - -13. Let w(d) = -2*d**2 + 27*d - 72. What is the lowest common multiple of w(9) and p?
18
Suppose -3*m = 2*o - 56, 3*m - 27 = -4*o + 37. Calculate the lowest common multiple of 53 and m.
848
Let t = 131 + -99. Let i(g) = -g**3 + 5*g**2 - g + 6. What is the least common multiple of i(5) and (-3 + t + -1)*(-2)/(-7)?
8
Calculate the common denominator of ((-190)/(-135))/(1 - (-4)/(-3)) and -29/72.
72
Suppose 0 = 8*v + 10*v - 36. Suppose -4*l + 4 + 4 = 0. Let i = l + v. What is the smallest common multiple of i and 9?
36
Suppose 5*g + 3*f + 652 + 4389 = 0, -2*g - 4*f - 2008 = 0. What is the common denominator of -37/12 and ((-1)/2 - 0) + g/200?
60
Suppose 5*n - 7*n + 136 = 0. Find the common denominator of (21/28)/(42/n) and (2 - 25/2) + 1.
14
Let j be ((-54)/(-21))/(9/42). Let w be ((-112)/10)/(1/(-5)). What is the common denominator of -63/20 and (j/w)/(2/34)?
140
Let g(w) = -w**2 - 9*w - 8. Let d be g(-4). Calculate the common denominator of -7/27 and 164/d - -1 - -1*3.
27
What is the common denominator of 2 - 63/30 - 531/(-810) and 23/240?
720
Let s = -5 - -2. Let w(f) = 4*f**2 - 1 + 2*f + f + f**2 - 2 + f**3. What is the least common multiple of w(s) and 9?
18
Let q = -28 - 8. Calculate the common denominator of (9/(-20))/(q/(-30)) and -85/6.
24
Let g = -246 - -252. What is the smallest common multiple of 174 and g?
174
Let t(f) be the first derivative of 2 + 12*f - 1/2*f**2. Calculate the smallest common multiple of 6 and t(8).
12
Suppose 0*r + 60 = 5*r. Let w be 2/((r/39)/2). Let l = w - 8. Calculate the smallest common multiple of 8 and l.
40
Suppose g + 4 + 11 = -4*p, -3*g + p + 7 = 0. Let o(f) = 11*f**3 - 1. What is the least common multiple of 14 and o(g)?
70
Calculate the c