t c(v) = -3*v + 8. Let z be c(6). What is the common denominator of 2/((-240)/(-802)) - 4/z and -87/2?
12
Let l = 33 + -30. Suppose 13 = l*d - 2*h - 45, -5*d + h + 99 = 0. Let y(z) = -z**2 + 20. What is the lowest common multiple of y(0) and d?
20
Let g = 101 + -87. Let q be 4 + 6/(9/(-3)). What is the lowest common multiple of g and ((-16)/6)/(q/(-9))?
84
What is the common denominator of 173/90 and (783/378)/((-40)/(-42))?
360
What is the common denominator of -34/3 and ((-28)/10836)/(1/(-3))?
129
Let n be (0 + -8)/(2/5). Let o = n - -22. Suppose 0 = 2*a - o - 0. What is the lowest common multiple of a and 10?
10
Calculate the smallest common multiple of 3 + 1096/40*5 and 12.
420
Let k(d) = 3*d + 204. What is the smallest common multiple of k(-38) and 11?
990
Suppose -2*i + 2*q + q = -24, 4*q + 17 = i. Suppose 4*a = 2*a - 4474. Let b = a + 6638/3. Calculate the common denominator of b and i.
3
Let x(i) be the third derivative of i**4/24 + 5*i**3/2 - 21*i**2. What is the least common multiple of x(-11) and 40?
40
Let b = 13/28 - -11/28. Let r be ((0 - -4)/(-4))/(-1). Find the common denominator of b and (-82)/(-16) - (r - 1).
56
Let o = -349/13 - -5801/234. Let d = -749 - -4435/6. What is the common denominator of d and o?
18
Let q = 53/79 + -9176/9085. Find the common denominator of q and 13/40.
920
Suppose 17 = 7*q + 10. Let j(b) = b + 1. Calculate the smallest common multiple of q and j(3).
4
Let s(z) = -z**2 - 14*z + 1. Let a be s(-13). Calculate the common denominator of 57/46 and (82/(-6))/(a/3).
322
Suppose 3*j - 9*i + 4*i = 11942, -5*i + 11992 = 3*j. Let h = j + -31953/8. What is the common denominator of h and -139/18?
72
Let c = 323/44 - 188/11. Let r(v) = -2*v + 12. Let m be r(7). What is the common denominator of (-438)/27*(-3)/m and c?
12
Let y = -9381713/108 - -86867. Find the common denominator of y and -127/24.
216
Suppose -3*s = -4*s + 2. What is the smallest common multiple of 1/2 + 143/s and 4?
72
Let o(f) = 32*f - 148. Suppose 354 = 5*y + 124. Calculate the least common multiple of o(5) and y.
276
Calculate the least common multiple of ((-12)/(-5))/(3 + 2556/(-855)) and 12.
228
Let j be 3 + -6 - -3 - (-1 - 9). Suppose a - 2*h = 16 + j, a - 34 = 4*h. Calculate the smallest common multiple of 33 and a.
198
Let o = 119 - 108. What is the lowest common multiple of o and 23?
253
Let c = 1991/10 - 192. Find the common denominator of c and -93/82.
410
Let h = 2007/2 - 1022. Let o(f) = -123*f - 5. Let t be o(-12). Let z = -2873/2 + t. Calculate the common denominator of h and z.
2
Suppose 8*q - 6*q - 14 = 0. Suppose q*z = 70 + 35. What is the lowest common multiple of z and 18?
90
Let l(j) = -j**2 - 9*j - 6. Let g be l(-6). Suppose d - 5*q - g - 10 = 0, -3*d - q + 2 = 0. Let s = 51 - 35. Calculate the lowest common multiple of s and d.
16
Let c = -4 - -9. Suppose -c*u = 5*t - t + 25, 4*t = -u - 5. Suppose -3*v + 5 = 4*k, -v - 5*k - 6 - 7 = t. What is the lowest common multiple of v and 10?
70
Let v be (13 + -3)/(1 - -1). Let d = 3 + v. Let l = 119 - 117. What is the lowest common multiple of l and d?
8
Let l = -14/40503 + -743293/75983628. Find the common denominator of l and -67/4.
1876
Let n(a) = 14*a - 295. What is the least common multiple of 127 and n(22)?
1651
Let n(j) = -3*j + 1. Let s be n(0). Suppose 4*y + 5*m - s = 2, 0 = 3*y + 2*m - 4. What is the lowest common multiple of 8 and y?
8
Let t(r) = -2*r**3 + 40*r**2 - 38*r + 46. Calculate the lowest common multiple of t(19) and (-6)/(-4)*(-44)/(-3).
506
Let d = 2213 + -15452/7. What is the common denominator of 97/66 and d?
462
Suppose -33 = -0*o - 3*o. Find the common denominator of 9/20 and (2/24*3)/(-6)*o.
120
Suppose 0 = 7*n - 10*n + 5*d - 6, 0 = -2*n - d - 4. What is the common denominator of n - (-582)/48*(-6)/(-15) and -121/20?
20
Let t = 13453/6 - 2252. Let d be (27/(-18))/((-1293)/8). Let r = -20732/4741 + d. Find the common denominator of t and r.
66
Let x = -221909/12 + 18482. Suppose 0 = -d - 4*d + 15. What is the common denominator of 42/(-4)*d/91 and x?
156
Suppose 13*n - 11*n - 10 = 0. Calculate the least common multiple of 3 and 1/((-56)/12 + n).
3
Suppose -15 + 55 = 4*o. Suppose 0 = o*f - 6*f - 120. Calculate the lowest common multiple of f and 20.
60
Suppose -30*b + 37*b - 19320 = 0. Let c = b + -121433/44. Calculate the common denominator of c and -71/12.
132
Let f(n) = n**3 - 5*n**2 + 6*n - 6. Let p be f(5). Let c be (p/(-20))/(-3)*-25. Calculate the common denominator of 1/12 and ((-2)/42)/(c/75).
84
Let q(g) = -4*g**3 - g. Let t be q(-1). Suppose -7 = 3*z + 8, -w + 29 = -t*z. Suppose -s - 3 = -w*s. What is the lowest common multiple of 8 and s?
8
Let s = 37 - 37. Suppose s*h + 33 = 5*h - 3*i, 4*h - i = 25. What is the lowest common multiple of h and 21?
42
Let m = 10 + -7. Suppose 3*l + l + 5*f = 6, -2*f = -4*l - 8. What is the smallest common multiple of 88/16*(l + m) and 7?
77
Let l = 5 - 3. Suppose -l*m - 2*f - f = 7, 4*m - 4*f = -64. What is the least common multiple of -3 - (-2 + m - -1) and 1?
9
Let m(q) = -q**3 - 10*q**2 - q - 2. What is the lowest common multiple of 13 and m(-10)?
104
Calculate the common denominator of -143/18 and ((-150)/(-28))/(13338/665).
468
Let q be (-179 - -2)/(1 + 9). Let d = -563/15 - q. What is the common denominator of -3 - ((-42)/(-60))/((-16)/10) and d?
48
Let k = 931521/44823580 + 6/44645. Find the common denominator of k and 55/8.
2008
What is the common denominator of 45/75 + 2/12 and -179/60?
60
Suppose -3*c + 16 = k, -5*k = -2*c - 3*c. Suppose j + 2*a + 0 = 2, -44 = -2*j + 4*a. Calculate the smallest common multiple of j and k.
12
Let u = -73/5 + 26/5. Find the common denominator of -4/25 and u.
25
Let h(j) = -9*j - 392. Calculate the least common multiple of h(-46) and 298.
3278
Let g(w) = 2*w**2 - 109*w + 28. Calculate the least common multiple of 32 and g(56).
1568
Let c = -15375/16 + 960. Find the common denominator of c and -59/22.
176
Let g be 12/(-18) + 4/6. Suppose g = -c - 1, 1 = 4*d - c. Suppose -l + 5 + 5 = d. What is the least common multiple of l and 10?
10
Let b(w) = -w**3 - 21*w**2 + 22*w + 3. Let d = 50 - 72. What is the least common multiple of b(d) and 5?
15
Let f = 4413749/39348210 - 37/330. Let i = -1737879239/715422 - f. Let d = 2437 + i. Calculate the common denominator of d and 64/3.
6
Let t = -686597/40 - -17162. What is the common denominator of t and -89/4?
40
Suppose 0 = -2*d + 3*d - 30. Let t be ((-18)/21)/(2/(-14)). Let v(m) = m**2 - 2*m - 2. Calculate the lowest common multiple of d and v(t).
330
Let i be (2 + (-10)/4)/((-27)/(-89469)). Let t = i + 1666. What is the common denominator of t and (4/(-22))/(2/13)?
66
Let n(x) = 5*x - 5. Let m(v) = 11*v - 10. Let l(h) = 2*m(h) - 5*n(h). Let g be l(3). What is the least common multiple of (-1)/(1*g/44) and 6?
66
Suppose 0 = -n, -o + 2*n - 5*n = -6. Let p = -57 - -1. Find the common denominator of -22/9 and p/o*27/(-32).
72
Let o be 6/1348*4/3. Let m = o - 12473/674. Calculate the common denominator of m and -59/18.
18
Let x(m) = 3*m**2 + 1. Let y = -69 - -79. Calculate the least common multiple of x(-1) and y.
20
Let k = -77 - -70. Let i(d) = -d**2 - 9*d - 4. What is the least common multiple of 64 and i(k)?
320
Calculate the common denominator of -95/14 and (-6)/9*670/(-80).
84
Suppose 1098 = 5*l + 3*m, -2*m + m = 2*l - 440. Suppose 0 - l = -3*y. What is the lowest common multiple of y and 20?
740
Let x = 2511943/78 + -32205. Find the common denominator of -55/27 and x.
702
Suppose 6*v - 3*v = -2*j + 51, 0 = -5*j - 2*v + 122. Find the common denominator of 23/3 and 0 + 2 - 300/j.
6
Let q(u) = -u**3 - 4*u**2 + 11*u - 7. Let s be q(-6). Calculate the smallest common multiple of 105/12 + (0 - s/4) and 9.
9
Suppose 0 = -p - 1 - 3. Find the common denominator of 178*p/96 - 2 and (4/96)/((-4)/126).
48
Let x = 986629685 + -3483789441865/3531. Let q be (-60)/18 - -4 - 14115/21186. Let n = x + q. Find the common denominator of 125/6 and n.
6
Let b = 31807/17732 - -19/403. Find the common denominator of b and 121/24.
264
What is the common denominator of 91/36 and -8 + 0 + 187434/23328?
144
Let j(o) = 3*o + 12. Let b be j(8). Calculate the common denominator of 850/264 + (-48)/b and -93/20.
220
Suppose -165 = 2*v - 65. Let t = -20 - v. Wha