ommon multiple of 32 and q?
160
Suppose -5*r = -v - 55, v + v + 44 = 4*r. Let w(h) = h**2 - 3*h - 4. Let n(f) = 2*f + 3. Let i be n(-3). Calculate the lowest common multiple of w(i) and r.
154
Let o(g) = 2*g**2 - g. Let k be (-1)/((-6)/5 - -1). Suppose -6 + k = -x. Calculate the common denominator of 103/10 and o(x).
10
Let w = -933 + 14003/15. What is the common denominator of w and 4/27?
135
Let m = -1/5244 + -262189/57684. Let g = 142/37 + -977/592. What is the common denominator of g and m?
176
Suppose 39*v + 122 = -34. Let o(l) be the second derivative of l**4/6 + 5*l**3/6 + 5*l**2 - 2*l. What is the smallest common multiple of 2 and o(v)?
22
Let f = -36 + 38. Suppose -3*n - 5*d = -4238, 2*n = -f*d + 1147 + 1681. What is the lowest common multiple of 4 and (-4)/22 + n/44?
32
Let l(x) = -2*x**3 - 21*x**2 - x + 106. What is the lowest common multiple of l(-10) and 16?
16
What is the least common multiple of 4 and 6/15 + -4*96/(-15)?
52
Let t = 72545/12 - 6039. Calculate the common denominator of (8/(-6))/(18/13) and t.
108
Let y = 114981/65170 - 2/1715. Find the common denominator of y and -83/10.
190
Let w = -32 + 52. Let s(r) = -r**2 - 2*r - 1. Let u be s(-5). Find the common denominator of -113/14 and (-6)/5*w/u.
14
Suppose -35 = -5*a - 3*y, -6*a + 2*y + 50 = -2*a. Let j = 1827 - 11071/6. Find the common denominator of -4 + 62/a + (-3)/5 and j.
30
Let n(x) = -x**2 - 15*x - 23. Let g(o) = 2*o**2 + 30*o + 47. Let p = 12 - 21. Let a(v) = p*n(v) - 4*g(v). What is the lowest common multiple of a(-14) and 7?
35
What is the smallest common multiple of 1 and (-14942)/(-155) + (-3)/(-5)?
97
Suppose -2*d = 4*g - 68, g + 5 = -0*g + 5*d. Let o be g/2*(-8)/12. Calculate the common denominator of -1/22 and o/10*213/(-15).
110
Let o = -15/92 + -21331/644. Let a = o - -2449/70. What is the common denominator of (-4)/(-6) - 735/198 and a?
110
Let x = 28145/8 - 3523. What is the common denominator of x and 4/14*(0 + -4)?
56
Let u(h) = 10*h + 136. Let s(m) = 9*m**3 + m**2 - m. What is the smallest common multiple of u(-13) and s(1)?
18
Suppose -2*o = 4*b - 248, -5*o - 638 = -10*o - 4*b. Calculate the smallest common multiple of 208 and o.
1040
Suppose -3*n - 20*n = -4830. Calculate the least common multiple of 126 and n.
630
Let h = -34 - -6. Calculate the common denominator of 2/17 and h/(-7) - (-49)/(-5).
85
Let b(o) be the first derivative of 3*o**4/2 - 2*o**3/3 + o + 7. Calculate the lowest common multiple of 21 and b(1).
105
Let g be (-7)/(-7) + (-293730)/(-28). Let f = g + -10498. What is the common denominator of f and -137/6?
42
Suppose -60 = -5*z + z. Suppose c + 4*c = -z. Calculate the common denominator of 168/15 + 2 + c and 18/5.
5
Let p be (-11612)/2968 - 2/14. Let s = 1/3339 - p. What is the common denominator of s and -23/14?
126
Suppose 5*t - 31 = -5*g + 4, 3*g - t - 29 = 0. Let x(f) = -f + 20. Let b be x(14). Suppose -b = -3*q + 15. Calculate the least common multiple of q and g.
63
Suppose -f = s - 5*s - 10, -4*f = 8*s - 16. What is the least common multiple of 2 - (0 + 3)*-3 and f?
66
What is the common denominator of (-10)/(-6) + (-9367)/4263 and 59/70?
490
Let q(s) = -s**2 + s + 56. Calculate the smallest common multiple of q(0) and 147.
1176
Suppose 1 = -y - 3*g - 10, 2*g + 4 = -4*y. Let a(i) = -3*i - 4*i + y + 2*i. Calculate the least common multiple of a(-3) and 8.
16
Calculate the common denominator of -103/30 and (-3 + (-39)/(-15))/((-2280)/775).
1140
Let o = -1769/38 - -1/19. Let m = -16507 - -98939/6. What is the common denominator of m and o?
6
Suppose -5*w = -3*w + 5*b + 33, -9 = -3*b. Suppose 0 = 3*r - r - 14. Find the common denominator of (0 - -2)*(-11)/r and w.
7
Let t(h) = 2*h - 2. Let n be t(5). Suppose -n = -2*m - 4. What is the common denominator of -39/2 and m/(-9) - 295/900?
20
Let y be (380/(-30))/(22/(-96)). Let p = y - 3389/44. Find the common denominator of p and 2/7 - 338/(-140).
20
Suppose 0 = w - 42 - 526. Let p = w - 2371/4. Calculate the common denominator of p and 75/32.
32
Suppose -5*i + 5*c + 2137820 = 0, 2*i - 855136 = 3*c - 5*c. Let g be (i/60)/(-1 - 1). Let q = g + 3564. What is the common denominator of q and 31/20?
20
Let h be (-3 - (2 + -4))*3. Let w = h + -3. Calculate the least common multiple of (w/4)/(3/(-18)) and 3.
9
Let p = 2361944707/1618263 - -5/179807. Let c(w) = -1463*w + 1. Let u be c(1). Let b = u + p. Calculate the common denominator of -97/4 and b.
36
Suppose 0 = -15*p + 63 + 477. What is the smallest common multiple of p and 51?
612
Let v = -1286/3 + 3211/6. Let j = v - 93. What is the common denominator of j and -14 - 663/104 - -11?
8
Let q be 4205/1950 - (0 - -3). Let x = q - 10/39. What is the common denominator of 23/19 and x?
190
Let r(y) = -176*y + 364. Suppose 3*h - 6*h - 4*w + 70 = 0, -w = -2*h + 65. What is the smallest common multiple of r(2) and h?
60
Let z = -9 - -6. Let j(a) = -3*a - 1. Let i be j(z). Suppose -v + 5*p + 2 = -i, 0 = -5*v + 3*p + 138. What is the least common multiple of v and 12?
60
Let d = 631485060983/118413070 - -2/11841307. Let q = 5326 - d. Calculate the common denominator of q and (-256)/(-42) - (-8)/24.
70
Let v = -591/160 - 29/32. Calculate the common denominator of v and 5/11.
55
Suppose 9*x - 88 = -16. Let p = 14 - x. What is the lowest common multiple of p and 4 + 3/((-9)/(-6))?
6
Let w = 12947 + -207239/16. Suppose 0 = -5*u - 8 - 67. Find the common denominator of w and u/(-6)*127/(-45).
144
What is the common denominator of -9/112 and 1443/(-65)*(-10)/(-196)?
784
Suppose -115*h - 12 = -116*h. Let u(r) = r**3 - 8*r**2 + 9*r + 2. Suppose 3*p + 15 = 0, -3*s + 12 = 2*p + 1. Calculate the least common multiple of h and u(s).
48
Let r = -132 + -120. Find the common denominator of (-2 - 54/(-28))*(-5369)/(-78) and (-382)/r + 3/7.
36
Suppose -645 - 657 = -2*y. Let a be (-1 - (-165)/12)*-50. Let k = y + a. Find the common denominator of k and -17/8.
8
Suppose -x = 3*p, p = -x - 3*x + 22. Let y(m) = -39*m**3 + 2*m**2 + m. Let q be y(-1). Suppose -4*d - d = -q. Calculate the lowest common multiple of x and d.
24
Suppose 2*w = 5*o + 13, -3*w + 4*o = -0*o - 30. Suppose -52 = 4*q - 4*n, 6*n - 52 = 4*q + 3*n. Let y = q + w. What is the least common multiple of y and 5?
5
Let m = 1 + -1. Suppose m = -4*i + 2*i + 16. Suppose 0 = 3*z - z - i. Calculate the smallest common multiple of z and 26.
52
Let w = -314 - -202. Let y = w + 932. What is the common denominator of y/30 + -1 + -1 and 33?
3
Let c be (-187)/(-4)*646/(-57). Let q = c - -1526/3. Find the common denominator of q and -58/9.
18
Calculate the common denominator of -13/32 and -1 + (1290/104)/(-15).
416
Let v = 5637 - 5586. Let n(i) = i**3 + 5*i**2 - 9*i - 7. Calculate the lowest common multiple of v and n(-6).
561
What is the common denominator of 13 + -12 + 17/(-5) and -28/25?
25
Let i(b) = -b**3 + 7*b**2 - 7*b + 12. Let l(u) = 4*u + 2. Let c be l(1). Let v be i(c). What is the common denominator of (v/30)/(8/(-290)) and -47/9?
36
Let v be (-1)/(-2) - 1/2. Suppose -k + 4*x + 21 - 5 = v, k - x = 22. What is the least common multiple of 2 and k?
24
Suppose 2*c + 2*p - 19 = p, -c = 4*p - 13. Suppose 2*q + 5*o + 11 = -c, 4*q = -o - 4. What is the least common multiple of 1/2*(36 + q) and 14?
126
Let d be (-4)/10*6*-5. Suppose l - d + 0 = 0. Let g = l + -10. Find the common denominator of g and -55/9.
9
Let g = -311 + 211. Calculate the common denominator of (152/(-60))/(48/g) and -43/2.
18
Suppose -2*g + 67 = -3*g. Let w = g + 77. What is the least common multiple of w and 2?
10
Let a = 3975/1136 + 182/71. Calculate the common denominator of 12 + (-7 - (-250)/(-45)) and a.
144
Let x(s) = -18*s + 364. Calculate the smallest common multiple of 2 and x(19).
22
Let q(h) = 611*h + 4. Let j be q(-3). Let g be (21366/4)/(-9)*3. Let t = g - j. Calculate the common denominator of t and -59/7.
14
Suppose 2*o = -5*o + 168. Suppose 3*v - o = 6*d - 4*d, 0 = -2*v + 3*d + 21. Suppose a = -0*a + 13. Calculate the lowest common multiple of v and a.
78
Let w be 1440/11 + -5 + 3. Let z = w + -38411/297. Let c = -4/27 - z. Find the common denominator of -25/2 and c.
22
What is the smallest common multiple of 17 and (57/(-95))/((-4)/1020)?
153
Suppose -2*f - w = -7, -4*f + 0 = -3*w - 9. Calculate the least common multi