4.
2
Find the common denominator of 55/4 - (4 - -3 - 5) and ((-790)/(-12))/5 + 0.
12
Let c(b) = -2*b**2 + 8*b + 12. Suppose 2*j - 2*k = 14, 0 = 4*k + k + 10. Calculate the smallest common multiple of c(j) and 10.
10
Let h(x) = -x**2 - 46*x - 470. Suppose 3*q = 2*q + p + 7, 5*p = -4*q + 37. What is the lowest common multiple of h(-30) and q?
40
Let c = -8 - -22. What is the least common multiple of c and 366?
2562
Let r = -18151141/9 - -2014146. Let n = -3840 + 1197. Let l = n - r. Find the common denominator of l and 99/4.
36
Let f(b) = 13*b + 81. Calculate the lowest common multiple of 48 and f(-6).
48
Let o = 0 - -22. Let h = 336 + -342. Let p = h + o. Calculate the least common multiple of 22 and p.
176
Suppose -25*k + 29*k = 44. Suppose 18*j - k = 7. Calculate the least common multiple of (0 + -1)*-1*1 and j.
1
Let s = 2624412439775/19952 - 263072619/2. Let o = s + 5/688. Find the common denominator of o and 43/18.
522
Suppose 3 = -4*q + 23. Let i(l) be the first derivative of -l**4/4 + 5*l**3/3 + 3*l**2/2 + 2*l - 326. What is the smallest common multiple of i(q) and 4?
68
Let z be -2*(6/10)/((-1)/5). Suppose q - z = -2*q. Calculate the least common multiple of q and 12.
12
Calculate the common denominator of 67/38 and 198/(-5)*80/(-64).
38
Let o be 1*(252/(-16))/((-6)/(-16)). Find the common denominator of 1/2 and (-110)/96 - o/(-63).
16
Let q be 17 + (2 - -5 - 3). Let u = q - 17. Calculate the least common multiple of u and 6.
12
Let o(b) = -4*b**3 - 22*b**2 + 5*b - 10. What is the least common multiple of o(-6) and 416?
416
Suppose -2*u - 32 = 5*j - 110, -2*j = -3*u - 16. Calculate the least common multiple of j and 140.
140
Let u be (57315/(-19100) - -3)/(4/(-41570)). Let m = u + -7/191. Find the common denominator of m and -13/12.
24
Let w be (-972)/22*(-10)/15. Let v = -5789/176 + w. What is the common denominator of -61/22 and v?
176
Let s(r) = -r + 12. Let i be s(30). Find the common denominator of 87/2 and 4 + 75/i + 193/78.
26
Suppose 15 = 5*i - 15. Let t be ((-3)/(-2))/((-6)/(-4)). What is the lowest common multiple of 0 + 22 - 2/t and i?
60
Let q(s) = 5*s**2 - 29*s + 22. What is the least common multiple of q(6) and 18?
252
Let w = -21 + 22. Let u = 300/17 + -9413/544. Find the common denominator of 855/72 - w/(-2) and u.
32
Suppose -v + 2*i = -12, -5*i - 1 = v + 1. What is the least common multiple of ((-4)/3)/((-10)/255) and v?
136
Let d = -29186791/56 + 521173. Let h = -11/56 - d. Calculate the common denominator of (-74)/(-20) + (-1)/(-2) and h.
10
Let g = -1269 + 38059/30. Find the common denominator of 76/63 and g.
630
Let t = 229999/16 - 14369. Let o = -801/1420 - -72/71. Find the common denominator of t and o.
80
What is the common denominator of ((-1425)/20)/(18/(-4)) and 48/5?
30
Let u(z) = -11*z + 371. What is the smallest common multiple of u(33) and 33*(2 + 8/(-6))?
88
Let w = -640 - -810. Calculate the least common multiple of w and 119.
1190
Let g(a) = 6*a**2 + 9*a - 6. Let h be g(4). Let b = -11/331 - 33299/3972. What is the common denominator of 6/3 + 133/h and b?
36
Let c(r) = r - 2. Let o be c(2). Suppose d + o = 2. Suppose 3*u - d = 7. What is the lowest common multiple of 2 and u?
6
Let n = 3/164 - -4741/820. Let b = -35 - -34. Calculate the common denominator of n and (-385)/21 + 2/12 - b.
30
Calculate the common denominator of (6/4)/(-3)*10086/7626 and -95/2.
62
Let c(z) = z**2 + 5*z - 2. Let w be c(3). Let k = -20 + w. Suppose 0 = -k*y - y - 9. Find the common denominator of 8/7 and y.
7
Let q = -5759/5 + 1160. What is the common denominator of 4/6 + (-2860)/(-120) and q?
10
Let i = -196 + 2144/11. Let o = 34531/1914 + 380/87. Let q = i - o. What is the common denominator of -119/6 and q?
6
Let h(t) = t**3 + t**2 - t + 36. Let x be h(0). Let o = 4 + x. Let u = 212/7 - -3/14. Find the common denominator of o and u.
2
Let a = 1/7773 - 536351/108822. Let s = 183/25 - 1453/400. Calculate the common denominator of s and a.
112
Let p = -363 - -367. Calculate the smallest common multiple of 94 and p.
188
Suppose 0*i + d + 28 = 3*i, -5*i - 3*d + 56 = 0. Calculate the smallest common multiple of 8 and i.
40
Suppose -48*v = -45*v + 36. What is the common denominator of (-116*v/64)/((-12)/2) and 73/18?
72
Suppose 3*u + 1 + 1 = l, 0 = 4*u - 5*l + 21. Suppose 5*m - u = 4*p, p - 4 = -3. Calculate the lowest common multiple of m and 37.
37
What is the common denominator of 5 - 4 - (-2 - 17/(-9)) and -32/69?
207
Suppose 0*v - 3*v + 18 = 0. Calculate the common denominator of -2 + v/(-567) + (-4)/14 and 133/18.
54
Calculate the lowest common multiple of 48 and (-6 + 7)*-4 + (-488)/(-2).
240
Suppose 3*l - 2025 = 1974. Let x = l + -5245/4. What is the common denominator of x and -49?
4
Suppose k = -4*d - 13, 0*k + 3*d + 30 = -3*k. Let c = -6 - k. Suppose -4*t - 50 = -5*a + t, -c*a - 4*t = -9. What is the smallest common multiple of 7 and a?
7
Let h be 4/(-6) - 5641/12. Let f = h + 475. Find the common denominator of -5/4 and f.
4
Let b = 18834 - 339125/18. What is the common denominator of b and 981/436 + -2 + 0 - 478/24?
18
Let r = -3/5978 + 236179/95648. What is the common denominator of r and 32/7?
224
Suppose 8*u = 50 - 34. Suppose -3*h + 3*b = -32 - 61, 0 = u*h - 3*b - 58. Find the common denominator of h and 91/6.
6
What is the least common multiple of (-15)/(120/16) + 16 and 98?
98
Suppose -19*g + 95 = -171. What is the lowest common multiple of 94 and g?
658
Suppose -3*i - 5*k = -29, 4*k - 2*k = -3*i + 17. Find the common denominator of (i/36)/((-4)/(-111)) and 23/20.
80
Suppose -6 = -a + 3*u + 2*u, 2*u = 2*a - 12. Let v(d) = -d**2 - 24*d - 133. Calculate the smallest common multiple of v(-11) and a.
30
Suppose -9*k - 52 = -22*k. Calculate the smallest common multiple of k and 7.
28
Suppose 0 = 104*h - 98*h + 2034. Let a be (-18846)/56 + (-2)/(-8). Let g = a - h. What is the common denominator of g and -99/8?
56
Suppose 12*n - 5 = 11*n. Suppose 49 - 9 = n*g. Calculate the lowest common multiple of g and 60.
120
Suppose -5*t - 152 = -5*n - 27, 8 = 4*t. What is the least common multiple of n and 324?
324
Let z(a) be the second derivative of a**4/4 - a**3/6 - a. Let p = 35 + -34. What is the smallest common multiple of 7 and z(p)?
14
Suppose -2*s - 5 = -7*s. Let w be (s/8)/(1/139). Let g = w - 75/4. What is the common denominator of 65/8 and g?
8
Let r be (-4)/(16/12)*-1. Find the common denominator of -2 - (r + 213/(-24)) and (0 - 3) + (-33)/(-18).
24
Let z be (-8 + 5/1)/(-1). Suppose 11 = z*l - 13. Calculate the smallest common multiple of 4 and l.
8
Let f = 179/36 + -19/18. Calculate the common denominator of f and -7/6.
12
Suppose -33*z + 37*z - 80 = 0. Let n = z - 6. What is the least common multiple of 48 and n?
336
Let z = -42/59 - -4559/354. Find the common denominator of z and -3*1111/66 - -8.
6
Suppose 0 = 4*r - 3*m - 77, 3*r = -2*m + m + 61. What is the lowest common multiple of 2*(-6 - -5) - 8*-1 and r?
60
Find the common denominator of (-6)/(-5)*((-302)/(-40) - 8) and 7/90.
450
Let p(o) = -o**2 + 4*o. Let q be p(4). Suppose -2*s - 4 + 18 = q. Let i(n) = -6*n + 37. What is the least common multiple of s and i(6)?
7
Suppose -2*a + 735*t + 104 = 737*t, -5*a + 4*t + 224 = 0. Let w = -2 + 18. Calculate the lowest common multiple of a and w.
48
Let q = -25840417 - -464928611/18. Let x = q - -11047. Calculate the common denominator of x and 159/110 + (-4)/10.
198
Let l = -1/105128 - -7621813/3469224. Calculate the common denominator of 73/14 and l.
462
Let s(o) = -o**2 + 8*o + 4. Let g be s(8). Let c = -3 + g. Suppose 2*j = -c + 17. What is the smallest common multiple of j and 10?
40
What is the common denominator of (-38)/10 - (-56 + 49) and -10/43?
215
Let r = 491 + -276. Calculate the least common multiple of 35 and r.
1505
Let g = -79 + 371. Calculate the least common multiple of 4 and g.
292
Let o = -380 - -400. Calculate the smallest common multiple of 2 and o.
20
Let y(p) = 2*p**2 + 20*p - 13. Calculate the least common multiple of y(-11) and 11.
99
Suppose -64 = -4*o - 0. Let t(l) = -l**3 - 2*l**2 - l + 7. Let z be t(-4). Let n = z + -23. What is the least common multiple of o and n?
80
Let n = 0 - 40. Calculate the common denominator of -33/50 and ((-82)/(-15))/(n/(-6) - 6).
50
Let u = -1440 + 345