4.
330
Let i(t) = -3*t**2 + 8*t + 19. Let b(n) = -n**2 + n + 1. Let w(o) = 2*b(o) - i(o). Calculate the smallest common multiple of 8 and w(9).
40
Suppose 3 = -x + 5. Calculate the smallest common multiple of 123 and x.
246
Suppose 2 + 0 = u, 4*r + 3*u - 66 = 0. Let k = 33 - r. Suppose 5*w - 5*y = -15, 5*y - 29 + 6 = w. What is the smallest common multiple of w and k?
18
Calculate the common denominator of (-442)/(-208) + (1 - -4) and 24/5.
40
Suppose -124*q = -151*q + 6534. What is the lowest common multiple of 198 and q?
2178
Let c be (-13)/(-6) + 6/(-36). Suppose p - 2*f = -p + 14, -4*p + c*f + 22 = 0. Let v = -4 + 6. Calculate the lowest common multiple of p and v.
4
Let k be 4/5*15/(-2). Let v be (-98)/k - 4/12. Let l = v - 5. What is the smallest common multiple of 9 and l?
99
Calculate the lowest common multiple of 36 and ((-2)/7)/((-2)/84).
36
Find the common denominator of 145/6 and (-136)/(-102) + (-1199)/1014.
1014
Suppose -3*f - 41 = 2*r + 5, 0 = 5*f - 4*r + 62. Suppose -2*v + 0 = 4, v = -4*d - 82. Let n = f - d. Calculate the smallest common multiple of 6 and n.
6
Let f = -17 - -25. Suppose -f*j = -3*j - 30. What is the common denominator of (-2 - (-3)/j) + -19 and 41/6?
6
Suppose -x + 6 = -4*x. Let s be x + (0 - (1 - -3)). Find the common denominator of ((-2)/s)/(2/(-38)) and -52/3.
3
Let k(t) = t**3 - 3*t**2 + 5*t - 3. Let r be k(3). Let w = 16154 + -226057/14. Find the common denominator of (-21)/70*(-106)/r and w.
140
Find the common denominator of (0 - 2) + (-17267)/(-8432) and 91/4.
272
Suppose 4*k - 34 = -2*h, k + 30 = 4*k - 3*h. Suppose -23 - k = -2*p + r, -4*p + 5*r + 76 = 0. Calculate the least common multiple of 1 - ((1 - 25) + 3) and p.
154
Suppose 26 = 4*h - 542. What is the least common multiple of h and 20?
1420
Let k(h) = 2*h**3 - 47*h**2 + 27*h + 34. What is the smallest common multiple of 33 and k(23)?
1386
Calculate the smallest common multiple of 8 and ((-24)/16)/((-12)/64).
8
Let b = 1110/13 + -16722/247. Let l = -1839/133 + b. What is the common denominator of -54/7 and l?
7
Let t(m) = -m + 4. Let o be t(5). Suppose -3*z + 3*v + 36 = 0, 18*v = 4*z + 22*v - 24. Calculate the least common multiple of o + 4*2/4 and z.
9
Let l(u) = -u - 8. Let g be l(-11). Suppose -h - h + 3*r = 30, -43 = g*h - 5*r. What is the common denominator of ((-6)/44)/(h/(-280)) and -8/5?
55
Let o = -25 - -18. What is the common denominator of 30/9*3/(-16) and (-6)/(o/(203/4))?
8
Let h be (-1 - (-5 - -3))*-11. Let u = h + 16. Let o(m) = m. What is the lowest common multiple of u and o(4)?
20
What is the common denominator of (88/220)/(2/27) and 149/6?
30
Let l(d) = -d**2 + 8*d + 11. Suppose -5*y + 29 = -16. Calculate the lowest common multiple of l(y) and 22.
22
Suppose 5*i = 5*s - 30, 5 = -s + 4*i + 23. Suppose -m + b - 23 = s*b, b + 46 = -2*m. Let p = -8/185 + 3724/555. Find the common denominator of m and p.
3
Suppose 0 = 4*s - 5*g - 10, 3*s + 0*g = -g - 2. Let c = 12 - s. Find the common denominator of 53/8 and (-111)/c*(-3)/15.
40
Let i(b) = 83*b - 173. Calculate the lowest common multiple of 44 and i(3).
836
Calculate the common denominator of -83/12 and 8/((-2880)/(-1238)) + -3.
180
Calculate the common denominator of -49/10 and (47/(-1335))/(22/55).
2670
Let o be (48 - 51)/((-3)/(-2) - 0). Calculate the least common multiple of 20 and 3 + o + (0 - -13).
140
Suppose 8*u + 16 = 4*g + 10*u, 0 = -2*g + 3*u. Calculate the smallest common multiple of g and 19.
57
Suppose 132 = 3*z - 0. Let k = z + 10. What is the least common multiple of 10 and k?
270
Let m(s) = -100*s + 20. Let k be m(5). What is the common denominator of -38/5 and 4/5 - 2456/k?
60
Let f be 3*(2 - 1) + -3315. Let w = f + 13165/4. What is the common denominator of ((-213)/9 + (-4)/24)*1 and w?
12
Let q(p) = -p**2 - 8*p + 3. Let l be q(-8). Let k = -12 + 14. Calculate the smallest common multiple of (-8)/(1 - l)*k and 2.
8
Let k = -6705/4 + 53551/32. Let i = -1067 - -4197/4. Calculate the common denominator of i and k.
32
Find the common denominator of (2 - (-116)/(-48))*(-333)/70 and 107/40.
280
Suppose -7 = 3*u - 1, 94 = 5*b + 3*u. What is the least common multiple of b and 78?
780
Let j(f) = -6*f**2 - 4*f - 2. Let l be j(-2). Let v = 317 - 332. Let b = v - l. Calculate the lowest common multiple of b and 10.
30
Let z(f) = 3*f**3 - 5*f**2 - 2*f - 21. Let y(j) = -2*j**3 + 3*j**2 + j + 14. Let q(o) = 7*y(o) + 5*z(o). Calculate the lowest common multiple of 11 and q(5).
33
Let b(o) = -2*o**2 - 6*o + 2. Let s be b(-3). Suppose 2*f = -2*a + 12, -s*f = -5*a + f + 62. What is the least common multiple of 5 and a?
10
Suppose 0 = -5*g - 4*x + 55194, 55192 = -2*g + 7*g + 2*x. Let t be g/12 + 0 - -3. Let l = t - 911. Calculate the common denominator of -111/22 and l.
66
Let n = -37029/13354 - -1/6677. Let y be (-3828)/192 - (-2 + 0). Let i = y + 145/8. Calculate the common denominator of n and i.
176
Suppose -16*o + 10*o + 180 = 0. Calculate the least common multiple of 48 and o.
240
Calculate the common denominator of 17/24 and (-1)/12*(-5289)/172.
48
Let u be -4 + 8 + (-3)/1 + 3. Suppose 30 = 3*x - 3*t, 9*x - u*x - 4*t = 48. Calculate the smallest common multiple of 9 and x.
72
Suppose 3*b + 72 = t, 2*t - 25*b + 30*b = 144. Calculate the smallest common multiple of 36 and t.
72
Suppose -5*u - 10 = 0, 7*u - 11*u = 2*o - 12. What is the least common multiple of o and 15?
30
Let c = -23151924 + 555725491/24. Let r = -3304 + c. Find the common denominator of -1/11 and r.
264
Let v(n) = -n**2 - 4*n - 48. Calculate the common denominator of 17/417 and v(0).
417
Let v be (-28)/8*(-116956)/(-142). Let i = 2883 + v. Let u = 3497/568 - i. Calculate the common denominator of 79/22 and u.
88
Suppose x + 2*x = 42. What is the lowest common multiple of 24 and (5/7 - 1) + 228/x?
48
Let b(r) = 12*r + 312. Calculate the smallest common multiple of b(-25) and 168.
168
Find the common denominator of (-30)/4*180/275 and -1*262/(-12)*1.
66
Let h(r) = 19*r**2 + 2*r - 8. Let f be h(6). Let u be (17/(-56))/((-44)/f). Let p = 31/7 - u. Find the common denominator of p and 125/12.
132
Suppose 18*p - 654 - 1290 = 0. What is the least common multiple of 7 and p?
756
Let l(d) = -3*d**3 - 2*d**2 - 7. Let t be l(-3). What is the common denominator of 50/40*26/t and -53/6?
336
Let u be (1 - 0)*(-29 - -4). Let y be 20/u*(-2 - 333). Find the common denominator of 89/16 and (y/(-160))/(2/4).
80
Suppose 26*o = 31*o - 3675. Find the common denominator of -8/9 and (-3 + o/(-9))/(8/2).
18
Let l be (-31)/11 - (-12)/(-66). Find the common denominator of 53/2 and 6/l*138/48.
4
Suppose -4*g + 4 = 0, -2*d + 5*g - 26 = d. Let k(m) = 2*m + 15. Calculate the smallest common multiple of 1 and k(d).
1
Let u be (-16)/(-28) - (-10)/7. Suppose 0 = u*m + 4*x + 10, 4*m = -2*x + 6*x - 32. Let f = -18 - -44. Find the common denominator of m and f.
1
Suppose -2*j + 19 = 3*q, q = 2*j - 0*q - 23. Suppose 9*w - 53 = 37. What is the smallest common multiple of 100/14 - w/70 and j?
77
Let g = 324 - 321. Suppose o = -0*o - 26. Let m = o + 36. What is the least common multiple of g and m?
30
Let a = 43 + -72. Suppose 2*j + 4*z - 56 = 5*z, -4*j + 5*z = -100. Find the common denominator of j and a.
1
Let m(z) = -2*z + 4. Suppose 0 = 3*c + 41 - 35. Calculate the least common multiple of ((-3)/c)/(3/6) and m(-3).
30
Calculate the lowest common multiple of -1*(-2 - 2 - 54) and 20.
580
Let c = 581 - 443. What is the smallest common multiple of 2 and c?
138
Let n be (-21)/(-210) + (-3002)/(-280). Let m be ((-2341)/(-60))/((-7)/(-3)). Let o = m - n. Calculate the common denominator of 9/8 and o.
40
Suppose 87*y = 104*y - 918. Calculate the least common multiple of y and 36.
108
Suppose -28*t = -23 - 201. What is the smallest common multiple of t and 150?
600
Suppose 50 = 2*a + 2*u, -2*u = -5*a + u + 117. Let l(q) = q**2 - 1. What is the smallest common multiple of (-3)/2*a/(-18) and l(-3)?
8
Let h = 9 - 6. Suppose 4*r = h + 61. What is the least common multiple of (-1)/1 + 13 - 0 and r?
48
Suppose 3*s + 0*s + c - 6022 = 0, -s + 3*c = -2024. Let l = -457088 - -2275362/5. Let k = l + s. Calculate the common denominator of -51/7 and k.
35
Suppose 2*z = -5*j + 3*j + 70, 2*z = 3*j + 55. Let k = -16 + z. Let t = 12 - 9. What is the smallest common m