d?
3
Let d = -70070/3 - -23589. Let b = 45/617 - 769669/3702. Let p = d + b. Find the common denominator of 81/4 and p.
4
Find the common denominator of 13/56 and (2/(-14))/((-4)/(-166)).
56
Let t(r) = 2*r. Let z be t(1). Suppose -j - 3*d = 541, z*j + 1106 = -0*j + 2*d. What is the common denominator of 111/14 and (-2)/(-11) - 285/j?
70
Let s(c) = -4*c - 3. Let g be s(-6). What is the common denominator of 0 and 2 + (-6)/g - 2?
7
Let m = 357/11 + -5525/176. Find the common denominator of m and 151/18.
144
Let g be 1674004/108 - 2/(-4). Let x = 15501 - g. Let r = 551/432 - x. Calculate the common denominator of r and -121/10.
80
Let f = -775/48 + -17/48. Find the common denominator of 33/7 and f.
14
Suppose y + 91 = 5*p, 3*p - 5*y = -2*p + 95. What is the lowest common multiple of 16 and p?
144
Let u(d) = d**2 - d. Let i be u(-1). Suppose 1 + i = w. Calculate the least common multiple of 1 and w.
3
What is the common denominator of 10/340*(-76 - -1) and -107/22?
374
Let z = -89 + 187. Suppose 0 = 5*y + 15, 0*k + y + z = 5*k. Suppose -3*f + k + 31 = -j, 42 = 3*f - 3*j. What is the lowest common multiple of f and 22?
198
Let o(v) = -v**3 - 5*v**2 - 4*v - 7. Let x be o(-5). What is the least common multiple of (5 - (3 - 1)) + x and 14?
112
Suppose 24 = w + 3*w. Let s = -11 + 17. What is the least common multiple of w and s?
6
Calculate the common denominator of 10/15 - (0 + (-229)/30) and 85/4.
20
Let n = 362/33 + -1457/198. Calculate the common denominator of n and 69/32.
288
Find the common denominator of ((-850)/80)/(2/(-8)) and -26/3.
6
Let i = -11 - -19. Suppose 3*u = -r + 9, 5*r - 3 - 32 = -5*u. What is the lowest common multiple of (8/r)/(8/36) and i?
24
Calculate the least common multiple of 506/34 - (-24)/204 and 18.
90
Let p = -5111/246 - 98/41. Let j = p - -23/3. Calculate the common denominator of j and -67/12.
12
Let x = -22 - -40. Suppose 0 = -2*c + c + 30. Calculate the smallest common multiple of c and x.
90
Calculate the smallest common multiple of 24 and (-268)/(-6) - 22/33.
264
Let i = 523319/26 - 20125. What is the common denominator of i and -9/10?
130
Suppose -2*q = 3*q - 10. Suppose 0*z = -3*z. Suppose -2*o + 0*v + 3 = -v, 5*o - 3*v - 5 = z. What is the lowest common multiple of q and o?
4
Calculate the common denominator of 7/(-3)*(-12)/(-40) and -149/24.
120
Suppose 0 = -4*f + 7836 + 2276. Let p be 164/6*7/((-1078)/14217). Let h = p + f. What is the common denominator of h and 61/6?
66
Let m be (-724)/(-26) + (-2 - 0). Let k = 3949/104 - m. Let b = 474 + -3853/8. Calculate the common denominator of k and b.
8
Suppose -4*z + 59 = -133. Suppose -z = -3*v - 4*w, 2*v - 6*v + 77 = w. Suppose 5*n + f - 61 = 7, -4*f = 8. What is the least common multiple of n and v?
140
Let k = -973/2 - -10643/22. Find the common denominator of -39/11 and k.
11
Suppose 0 = 5*y - 5, -49 = -4*w - y. Calculate the smallest common multiple of w and 18.
36
Suppose 25 = 4*z - b, 3*z - b - 13 = z. Suppose 128 = 3*t - 7*w + z*w, 0 = 3*t + 2*w - 113. Calculate the common denominator of -16/3 and t.
3
Let s = -69 + 87. Calculate the smallest common multiple of 4 and s.
36
Let f(b) = -b + 12. Calculate the lowest common multiple of 4 and f(0).
12
Suppose b = -2*b + 12. Suppose -b*y + 14 + 6 = 0. Calculate the smallest common multiple of y and 9.
45
Let c = 3 - 9. Let o be (c/9)/((-2)/15). Suppose 5*s + 3 = -2*m + o, 0 = 5*s - 20. What is the common denominator of -13/9 and m?
9
Let v(u) = 14*u**3 + u**2 - 1. Let a be v(-1). What is the common denominator of (-35)/(-30)*(-2)/a and (-6)/4*20/22?
66
Suppose 2873 = -4*u + 5*x, u - x = -104 - 614. Let r = 4219/6 + u. Find the common denominator of r and 5*(92/36 + -2).
18
Let i = -34 - -58. Suppose -7*b = -4*b - i. Calculate the smallest common multiple of b and 0 + ((-2)/3)/(43/(-258)).
8
Suppose -3*q + 5*c = -q + 17, c - 1 = q. Suppose q*l + 5*d - 10 = 0, 0 = -l + d + 1 + 6. What is the smallest common multiple of l and 7?
35
What is the lowest common multiple of 3 and (-12)/5*(-10)/4?
6
Let q(x) = -x**3 + 6*x**2 - 5*x + 8. Let a be q(7). What is the common denominator of -1/16 and 6/8*a/(-30)?
80
Let l(p) = -p - 14. Let z be l(-10). Let f be (-4)/(-10) + z/10. Suppose 4*u = 0, f*t = t - 3*u - 4. Calculate the smallest common multiple of 2 and t.
4
Suppose 3*w = -4*j + 3*j - 9, 0 = -4*j - 3*w + 9. Let u = 836/3 - 302. Find the common denominator of u and (-99)/j*(-4)/(-15).
15
Let k = 3155/228 - -11/19. Let r = k + -229/6. Calculate the common denominator of 19/8 and r.
8
Suppose -5*w + 10 = -0. Suppose -3*f - 16 = -w*o, 0 = -0*f + 3*f. Calculate the least common multiple of 7 and o.
56
Let t = -1/41 + -525/328. Suppose 3*x = -5*h + 4*x + 2407, -4*h - 3*x + 1918 = 0. Let b = h - 2893/6. Find the common denominator of b and t.
24
Let p = -29 - -20. Let i be p/(-3)*1 - -15. Suppose w + 2*w - i = 0. What is the lowest common multiple of w and 8?
24
Let a be 26/10 + (-6)/10. Let d be 2/(-2*a/(-30)). Calculate the lowest common multiple of 10 and (36/d)/(3/10).
40
Let h(z) = -z**3 + 10*z**2 + 12*z - 10. Let k be h(11). What is the smallest common multiple of 8 and 5*k*(-6)/(-6)?
40
What is the common denominator of 806/(-240) - 14/(-35) and -73/8?
24
What is the common denominator of (2 - 1)/((-12)/77) and -43/8?
24
Suppose -3*b + 4*r + 0 = -44, -2*b = -5*r - 41. Suppose 4*d + 6*l - 33 = l, -5*d - 3*l = -38. What is the least common multiple of b and d?
56
Suppose w - 4 = 0, -5*w = -2*i - 4*w - 2. Let y be 1*1/(i/8). Calculate the common denominator of (y/(-42))/(2/9) and -41/4.
28
Let r be (-15)/20 + (-214)/(-8). Let b = 5201/5 - 1032. Find the common denominator of b and (r/(-60))/((-2)/54).
10
Suppose 0 = -n + 3*x + 42, x = -2*n + 33 + 23. What is the common denominator of 58/12*(-27)/n and 89/20?
20
What is the common denominator of 51/8 and 3/(-54)*(-168)/16?
24
Suppose 25 = 3*g - 35. Suppose 0 = -0*r + 2*r + 2*v + 14, r + 23 = 3*v. Let f = r + g. What is the smallest common multiple of f and 11?
99
Let c be -2*((-39)/6 - 3). Let u(q) = -4*q**2 - 4*q - 3. Let j be u(-2). Let r = j + c. Calculate the lowest common multiple of r and 4.
8
What is the common denominator of -9 + 9 + 174/32 and -1/18?
144
Suppose 83 = 4*b - 5*t, 0 = t + 2 - 3. Calculate the least common multiple of 32 and b.
352
Suppose 0 = 5*g - 74 + 24. Let r(z) = z - 4. Calculate the lowest common multiple of r(g) and 2.
6
Suppose 0 = x + 2*x - 15. Suppose 0 = x*d - 6 - 4. Suppose 5*g - g + 37 = 5*v, -d*g + 31 = 3*v. Calculate the lowest common multiple of v and 7.
63
Suppose 0 = 6*a - 2 - 16. Suppose 68 - 8 = 5*c. What is the smallest common multiple of a and c?
12
Let y = 3256 + -49. Let m be 154306/(-48) - 4/6. Let z = y + m. Calculate the common denominator of -25/12 and z.
24
Suppose 5*t - 54 = 16. Let h(w) = -7*w**3 + w**2 + w + 1. Calculate the smallest common multiple of t and h(-1).
56
Let o(t) = t - 6. Let n be o(3). Let r(a) = 2*a**2 + 2*a - 4. What is the lowest common multiple of r(n) and 10?
40
Let p = -2 - 1. Let f = -42 + p. What is the common denominator of (-21)/(-25)*f/6 and -75/22?
110
Calculate the common denominator of 111/10 and 146/20 - (-11 + 14).
10
Let c = 1 - -3. Suppose -c*g + 8 = 0, f + f - 3*g - 6 = 0. Let n = 4 + f. What is the smallest common multiple of n and 6?
30
Let u = -11197/4 + 2774. Calculate the common denominator of 11/4 and u.
4
Suppose 0 = -0*n + 5*n, 0 = 3*x - 5*n - 6. Let t = -4 - -18. What is the smallest common multiple of t and x?
14
Let a = 11 - -11. Let i = 23 - 15. Calculate the smallest common multiple of a and i.
88
Let n be ((-16)/124684)/(7/(-15)). Let x = n + 265805000/1437700033. Let y = x - 2/599. What is the common denominator of y and 6/7?
77
Let i be ((-118)/24)/((-28)/(-3213)). Let f be (-2 - 0)*2*-141. Let r = i + f. Find the common denominator of r and 63/22.
176
Suppose -27 + 107 = 5*c. Suppose -d + c = d. Suppose 5*s - 1 = y + 5, 2*s = 3*y - 8. What is the smallest common multiple of d and s?
8
Let x be (-3 - 0)/(155470/378307). Let b = -1/15547 + x. Find the common denominator of b and -53/4.
20
Let j be (-18)/15*10/(-4). Suppose 0*p = -j*p + 18. What is the smallest common multiple of p and (-22)/(-4)*8/4?
66
Let s(o) = 92*o**2 + 4*o + 6. Let k be s(6). Suppose y - k = 4*y