ple of 10 and d.
10
Let g(q) be the second derivative of 0 + 3*q**2 + 2*q + 1/6*q**3. What is the smallest common multiple of g(0) and 10?
30
Let s(q) = q - 2. Suppose -2*k - 42 = 3*k - 3*m, -2*m = -2*k - 20. Let o be s(k). What is the common denominator of 46/9 and (12/o)/(30/(-224))?
45
Let g(a) = -a**2 - 9*a - 4. Let p = -4 - 1. What is the common denominator of g(p) and 53/8?
8
Suppose -20 = -4*i - 8. Suppose 43 = i*h + 5*t + 13, 0 = -4*h - t + 40. Calculate the lowest common multiple of 4 and h.
20
Suppose -3*c + 3*o = -96, -4*c + 63 = 2*o - 35. What is the smallest common multiple of c and 9?
27
What is the common denominator of 89/6 and (-15775)/(-1400) - 2/14?
24
Let f = 104/127 - -4235/3048. What is the common denominator of 69/20 and f?
120
Let o(j) = -2*j**2 + 2*j + 1. Let k be o(2). Let y = -124/3 + 44. Find the common denominator of y and (-2)/k - (-149)/(-12).
12
Let q = -3 + 11. Calculate the smallest common multiple of q and 20.
40
Suppose -3 - 3 = 2*o, 5*v = 4*o + 92. Calculate the lowest common multiple of 28 and v.
112
Let y = 137/230 - 16/23. Let z = 3111/4 + -756. What is the common denominator of y and z?
20
Let t(b) = b + 6. Let r be t(-11). Let x be (-20)/4*6/r. Calculate the lowest common multiple of ((-12)/15)/(x/(-45)) and 10.
30
Let n = 4 - 4. Suppose -4*l - l + 25 = n. Calculate the common denominator of 87/16 and (-11)/4 - 2/l.
80
Let d = -101209/120 - -4246/5. Calculate the common denominator of d and (2*1236/(-192))/(3/2).
24
Suppose -2*z + 6 = 4*m, -m + 2*m = -z. What is the smallest common multiple of 39 and m?
39
Find the common denominator of 22/3 and (-365)/150 + (3/1)/9.
30
Let j(w) = -51*w - 1. Let h be j(-1). Suppose 2*q = -0*q - 3*r + h, -8 = -4*r. Calculate the least common multiple of q and 22.
22
Let d = 14 - 10. Let b be 5*((0 - 0) + -1). Calculate the smallest common multiple of ((-30)/b)/(3/2) and d.
4
Let o be 30532/7 + 2/7. Suppose u = -0*u - o. Let v = -47948/11 - u. Find the common denominator of -33 and v.
11
Suppose 4*q - 34 = 38. Suppose 5*o - 102 = 4*w, 75 = 5*o - 3*w + 8*w. What is the smallest common multiple of o and q?
18
Let m(f) = 2*f**2 + 10*f - 6. Calculate the least common multiple of m(-6) and 2.
6
Let u be -15 + (1 - 0 - 2). Calculate the common denominator of (-89)/(-5 + 2 + 1) and (10/72)/(8/u).
18
Let m = -4467106/9 - -2968105/6. Let v = -1669 - m. What is the common denominator of v and 13/18?
18
Calculate the least common multiple of 14 and (-54)/(-4)*((-100)/15)/(-5).
126
Find the common denominator of (-1 - 2)/(126/4) and -17/21.
21
Suppose 4*l - 37 = w + 14, -53 = -2*l - 5*w. What is the least common multiple of 6 and l?
42
Find the common denominator of 6/27 - (-287)/(-90) and 63/4.
60
Let y = 18937/18 + -1047. Let d be (-3)/(-18) + (-16721)/36. Let p = 1861/4 + d. What is the common denominator of y and p?
18
What is the least common multiple of (-14)/21*(-3)/1 and 26?
26
Suppose -3*u + 3 = 0, 2*d + 1 = u - 4. What is the least common multiple of (-2)/d + 9 + -1 and 9?
9
Let d(s) = 7*s + 9. Let q be d(-7). Find the common denominator of 69/22 and 3 + -6 - 206/q.
220
Let i(y) = 7*y + 2. Let a be i(3). Let r = a + -13. Calculate the smallest common multiple of 12 and r.
60
Let t(x) = 13*x + 17. What is the common denominator of t(-5) and 253/(-20) - (-4)/16?
5
Let o be (-321)/((-1 + 20)/1). Let x = o + 5907/380. Calculate the common denominator of 151/18 and x.
180
Calculate the common denominator of (-73)/2*1*(-17)/(-68) and 9/20.
40
Let q(w) = -4*w**3 - 4*w**2 + 4*w + 2. Let k(t) = 7*t**3 + 7*t**2 - 7*t - 4. Let b(s) = 3*k(s) + 5*q(s). Calculate the smallest common multiple of b(2) and 19.
152
Let o = 51 - 33. What is the least common multiple of o and 27?
54
Suppose -3*r = o - 5, -3*r + 0 = -3. Suppose -2*c - 4*z + 72 = 0, 32 = c + o*z - z. Suppose -2*i = -0*i - c. What is the smallest common multiple of i and 2?
14
Suppose -x = 1, x - 5 = -l - 2*l. Suppose 36 = -0*j - l*j. Find the common denominator of 7/5 and j/7 - (2 + -1).
35
What is the common denominator of 3/(-6) - (-102)/10 and -73/22?
110
Calculate the least common multiple of -2 - -6 - 1/1 and 1*2/(-2) + 10.
9
Let f = 379817 - 3031235/8. Let r = -909 + f. Calculate the common denominator of -115/12 and r.
24
Suppose 0 = d + 4*d - 3*c - 11, -4*d + 3*c = -10. Suppose x - 1 = d. What is the least common multiple of x and 1?
2
Let s(l) = -l**2 + 9*l - 4. Let m be s(8). What is the least common multiple of (18/8)/((-3)/(-12)) and (18/12)/(3/m)?
18
Let t(r) = r**2 - 5*r + 2. Let o be t(5). Suppose 2*c + 22 = n, 0 = 5*n - o*c + 3 - 73. Let d = -1 + 7. Calculate the smallest common multiple of d and n.
12
Let x(v) = v**3 - 6*v**2 - 4. Let p be x(6). What is the common denominator of 2/p + 36/(-56) and 85/2?
14
Let p = 181/20307 + -1174578635/162456. Let y = p - -7219. What is the common denominator of 38/7 and y?
56
Let c(s) = -11*s**3 - s**2 + s + 1. Let f be c(-1). Let v = 2039/658 + -55/47. What is the common denominator of ((-7)/f)/(18/105) and v?
84
Calculate the common denominator of 0 - 2 - 56/(-36) and 12/7.
63
Let w(f) = -f**2 + 7*f - 4. Let o(r) = -r**3 - 7*r**2 + 7*r - 2. Let l be o(-8). What is the lowest common multiple of w(l) and 16?
16
Let w = 67 + -55. What is the lowest common multiple of w and 51?
204
Suppose l + 5*g + 4 + 4 = 0, 2*l = 3*g - 3. Let o(i) = i**3 + 4*i**2 + 3*i + 3. Calculate the least common multiple of o(l) and 3.
3
Let n(u) = -u**3 - 8*u**2 - 7*u + 3. Calculate the least common multiple of 27 and n(-7).
27
Let x = 79 + -391/5. Let h = 84/17 + -1408/51. Find the common denominator of x and h.
15
Suppose 2*v - 3*l - 16 = l, 0 = 2*v + 4*l + 16. Suppose v = -5*t + 22 + 53. What is the least common multiple of 2 and 164/10 - 6/t?
16
Let z = 112195/84 + 4237/21. Let h = -1542 + z. Let d = -5/4 + 4. Find the common denominator of h and d.
12
What is the least common multiple of 3 and (-371)/(-21) + (-4)/6?
51
Let y = -7 - -12. Let c = 14 - y. What is the least common multiple of c and 2?
18
Let n(c) = 3*c**2 + c - 4. Calculate the smallest common multiple of n(-2) and 2.
6
Let a(p) = p + 9. Let j be a(-6). Suppose 10 - 28 = -j*w. Let o = 40 - 18. Calculate the lowest common multiple of o and w.
66
Let n be (391485/(-36))/(7054/6). Let k be 3/9 - (-3524)/(-10581). Let d = k - n. Calculate the common denominator of 47/22 and d.
44
Let b(h) = h**2 - 9*h. Let g = -16 + 26. Calculate the least common multiple of b(g) and 20.
20
Suppose 0 = -0*u - 2*u - 4*x + 20, 5*u - 36 = -3*x. What is the lowest common multiple of u and 7/3 + 3/(-9)?
6
Let k(y) = y**2 - 7*y + 2. Calculate the lowest common multiple of 22 and k(7).
22
Let s = 9 + 1. Suppose 1 = k - 9. Calculate the least common multiple of s and k.
10
Suppose -5*n + 2*n = -99. What is the smallest common multiple of n and 8?
264
Suppose 0 = -4*z - z + 155. Let b = z - 21. Calculate the smallest common multiple of 18 and b.
90
Let j(m) = -10*m + 1. Let p = 2 + -3. Calculate the smallest common multiple of (-1)/(-1*(2 - 1) + 0) and j(p).
11
Let r = 6 + 0. Calculate the smallest common multiple of (-5)/2*(-2 - 2) and r.
30
Let a = -5 + 9. Let d(x) = -x**3 + 6*x**2 - 5*x + 4. Calculate the least common multiple of d(a) and 7 + (1 - 1) - -1.
16
Suppose 10 = 2*r + 2. Calculate the smallest common multiple of r and 4.
4
Let y = -4819/110 - -429/10. What is the common denominator of 7/34 and y?
374
Let k(r) = -r**2 - 2*r. Let h be (2 + (-2 - 1))*2. Let z be k(h). Suppose z*n + 4*n - 48 = 0. Calculate the least common multiple of 20 and n.
60
Let s = -2888767/536 + 1398/67. Let m = -5377 - s. Find the common denominator of ((106/6)/1)/(-1) and m.
24
Let p = -4/1051 - -60978/5255. Find the common denominator of -31/29 and p.
145
Let z(b) = b**3 - 11*b**2 - 11*b - 15. Let t be z(12). Let c = 3 - t. Let l(w) = -5*w**3 - w**2 - w - 1. What is the least common multiple of c and l(-1)?
12
Let l(k) = -k - 1. Let i(j) = -j**2 + 10*j + 8. Let g be i(7). Let h = -19 + g. What is the smallest common multiple of h and l(-3)?
10
Let v(j) = -j + 3. Let n be v(6). What is the common denominator of (339/27)/(2/n) and 68/9?
18
Let s = -6920 + 55431/8. Find the common denominator of 37/8 and s.
8
Let n(d) = 5*d**2 - d. Let k = -3 - -10. Let b = 3 + k. What is th