i + 169. Let p be g(-13). What is the least common multiple of p + 48 - 0/(-68) and 12?
48
Calculate the least common multiple of 120/(-55)*1914/(-116) and 20.
180
Let v(i) = -i**2 + 38*i - 96. Let f(q) = -q**3 + 7*q**2 + 8*q - 23. Let m be f(7). Calculate the lowest common multiple of 6 and v(m).
138
Let b(g) be the second derivative of -69*g**3 - 8*g**2 + 33*g. Let w be b(2). Calculate the common denominator of w/224 + 1 + 2 and 77/12.
168
Let d(i) = i + 1. Let y(h) = 7*h + 4. Let a(v) = 6*d(v) - y(v). Calculate the lowest common multiple of a(-5) and (-5 - (-60)/8)*28/10.
7
Let r be (-1)/(-1) + (0 - -1). Suppose 3*t + 2*l - 33 = -l, 5*l = r*t + 6. Calculate the least common multiple of 10 and t.
70
Let r = 23 + -23. Let j be (r + -1)*-1 - (-39599)/(-7644). Let s = j + 5/364. Find the common denominator of s and 67/20.
60
Let b = 695 + -675. Let h be -3 - -26*1/2. Suppose h = 5*u - 4*u. Calculate the lowest common multiple of u and b.
20
Let j = 20038 + -20016. Suppose -3 = -2*f - 5, 5*y = f + 91. Calculate the least common multiple of y and j.
198
Let j = -215 + 220. Suppose -t = -3*g - 3 - 4, -5*g = j*t - 135. Calculate the least common multiple of t and 78.
858
Let o(b) = -b**3 + 11*b**2 - 28*b + 156. What is the least common multiple of 308 and o(6)?
1848
Let v(d) = d**2 + 18*d + 1. Let b be v(15). Let p = -1999/4 + b. Calculate the common denominator of p and 63/2.
4
Let g = -2/89489 - 7964505/715912. Let x be 3189/2*(-7)/6. Let m = x - -1880. Calculate the common denominator of g and m.
8
Let m(f) = 2*f**3 - 43*f**2 - 19*f - 51. Let k = 15 - -7. Calculate the least common multiple of m(k) and 105.
105
Let f = -3077/261 + 155/29. Find the common denominator of f and 16/249.
747
Let c(d) = 2*d**2 - 7*d - 3. What is the lowest common multiple of c(6) and 8/((1 + 0)*-1 - 535/(-321))?
108
Let v(z) = 21*z**2 + 202*z - 195. What is the lowest common multiple of 940 and v(1)?
6580
Suppose 0*z + 2*y + 102 = -2*z, -3*y = 2*z + 105. Find the common denominator of -13/8 and (-2296)/z - 4/12*1.
8
Let j be 2/5 - 47/5. Let h(f) = 5*f**2 + 44*f + 198. Let a be h(-6). Find the common denominator of a/20 + (-8 - j) and 95/18.
90
Let p = 89378/7 + -12971. Let m = -12974/63 - p. Calculate the common denominator of m and -82/45.
45
Let j = 2166449/48 + -45137. Find the common denominator of j and 4/((-224)/87) + -1 + 3.
336
Find the common denominator of -31/10 and (-404)/42 + 4 + 24/18.
70
Let l be 34/(1 - 209/121). Let a = 157 - 110. Let g = l + a. Find the common denominator of g and -23/22.
44
Suppose -21 = -9*x + 8*x. What is the smallest common multiple of -3 + 142/6 - (-8)/24 and x?
21
Let o(f) = 7*f + 48. Let j be (-32)/(-96) + -2*38/12. Let m be o(j). What is the lowest common multiple of 9 and (m + -1)*(-3 - (-13 - -8))?
90
Find the common denominator of -133/6 and (-2 - -3)*-7 + (-112708)/(-8080) + -7.
6060
Let r = 5/7531181 + -30674509013/13254878560. Let a = r - -3/1760. Find the common denominator of a and (74*3/(-9))/(176/(-36)).
176
Let z = -641 + 661. Suppose -l - 196 = -3*u, -16*u + z*u - 5*l = 254. Calculate the lowest common multiple of 270 and u.
2970
Let r = -13350 - -240419/18. Find the common denominator of (-79422)/8568 - 18/(-51) and r.
36
Suppose 3*q - 5*g = 52, -5*q + 2*q + 2*g = -46. Suppose 0 = -5*u + 198 + 48 - 26. Calculate the lowest common multiple of u and q.
308
Suppose 27*l - 32*l = -40. Suppose 9*g = z + 11*g - 452, -3*z = -g - 1342. Suppose l*s + z = 12*s. What is the lowest common multiple of s and 4?
112
Let z = -486/55 - -13892/1485. Find the common denominator of z and -17/3228.
29052
Let j = 3937383/479 - 8220. Let k = -20609/1916 + j. Find the common denominator of k and (-2 - -2) + (-26)/6.
12
Suppose 0 = -3*u + 4*w + 22, -5*u + w + 8 = -3*u. Let y(g) = -g**2 - 103*g - 542. What is the lowest common multiple of u and y(-94)?
304
Let t(y) = y**3 - 22*y**2 - 25*y + 28. Let n be t(23). Let b = 7 - -13. Let f = n + b. What is the smallest common multiple of 20 and f?
20
Let u = -4417/4 + 984973/892. Calculate the common denominator of -4/1561 and u.
3122
Let h(i) = i**3 + 4*i**2 - 2*i - 4. Let j be h(3). Let o = j - 21. Find the common denominator of (47/2)/((-4)/(o/(-12))) and 31/11.
33
Let z = -628 + 904. Let k = -465 + z. Let m = 1111/6 + k. What is the common denominator of m and -39/10?
30
Suppose 0 = -2*a + 34 - 22. Suppose 4*y + 5*r = 59 + a, 0 = 2*r + 6. What is the least common multiple of y and 28?
140
Let w = 360/287 + -20397/4592. What is the common denominator of (-2)/12*(-15)/2 and w?
16
Suppose 109*w = 107*w - 6. Let f(h) = -2*h**2 - 2*h + 3. Let r be f(-3). What is the least common multiple of 4 and 11 - 1/w*r?
8
Let c(t) be the second derivative of -25*t**3/2 + t**2 - 24*t. Let m be c(6). What is the common denominator of 4/(-14) - (-4184)/m and -13/20?
40
Calculate the common denominator of (5738/4)/19*2/(-180) and -131/144.
720
Suppose -8*i - 7 - 17 = 0. Let n be (-150540)/2394*i/4. Let s = n + -930/19. Calculate the common denominator of s and -35/12.
84
Let s = -6287/41 + 2914339/19024. Find the common denominator of 67/82 and s.
19024
Suppose -5*h - 16 - 1 = 4*i, -i - 2*h - 5 = 0. Let t = -65027/16 - -4066. Calculate the common denominator of (i/(-96))/((-1)/106) and t.
16
Suppose 2*k = -5*t - 248, t = 5*t - k + 201. Let j = -110 - t. Find the common denominator of 2/(j/223) - -4 and -61/33.
330
Let t = 96 - 316/3. Let p = 306019/32439 + -188/983. Let m = t + p. Calculate the common denominator of -59/45 and m.
495
Let u(q) = 14*q - 122. Let m be u(9). Suppose -m*f = -4*g - 44, 6*g = -4*f + g + 17. Calculate the lowest common multiple of f and 19.
152
Let m(d) = 49*d**2 - 8*d - 5. Let r(v) = -v**2 - 1. Let p(q) = m(q) - r(q). Let a be p(-2). What is the common denominator of (1 - a/10)/((-108)/90) and -51/4?
12
Let j be 730536/(-1728) + 1/(-8). Let s = -15295/36 - j. Find the common denominator of -139/24 and s.
72
Let n = 575531069/23785460 + -1007/70580. Let g be (-20)/(-9)*180/25275. Let q = g - n. What is the common denominator of q and 42/13?
78
Let b(g) = -g**2 - 5*g + 30. Let t be b(-8). What is the common denominator of -95/162 and (94/t)/(47 + -46)?
162
Let z(d) = -4*d**3 + 37*d**2 + 3*d - 14. Calculate the smallest common multiple of 24 and z(5).
1704
Let u(a) be the first derivative of -a**4/4 + 7*a**3/3 + 2*a + 36. Calculate the smallest common multiple of u(7) and 82.
82
Let k = -178/9 - -1151/72. What is the common denominator of 129/10 - (2 - 0) and k?
120
Suppose -3*g = -7*g + 96. Suppose -3*t + 12 = -g. Let w = 14 - t. What is the lowest common multiple of w and 2?
2
Let v = -1349/3 - -465. Let x(f) = 1014*f**3 - 3*f + 2. Let k be x(1). Let g = k - 7129/7. What is the common denominator of g and v?
21
Let a(y) = -7*y + 41. Suppose 122 = 15*g + 17. Calculate the lowest common multiple of g and a(5).
42
Suppose 17 = -3*l - 1759. Let w = 993 + l. Let k = w + -1655/4. Calculate the common denominator of -17/20 and k.
20
Let h(i) = i**3 + 14*i**2 - 25*i + 2. Let y be h(-15). Let q = -88 + y. Let k = -3 - -7. Calculate the smallest common multiple of k and q.
64
Let m be 6/1 + (-5)/(-5). Suppose -l = -d - 4, m + 3 = l - 4*d. Suppose 68*y - 72*y = -60. Calculate the lowest common multiple of l and y.
30
Find the common denominator of 97/110 and ((-1274)/(-2145))/(3/12*(-192)/(-20)).
990
Let n be (-32)/(-16) - (-1 - -12). Let p(s) = -7*s - 51. Let t(k) = -k**3 - 2*k**2 + 6*k + 1. Calculate the least common multiple of p(n) and t(-4).
36
Let s = -133957 + 71935013/537. Let c = 7/25274365 - 153491246211/99530449370. Let m = s + c. Find the common denominator of m and 49/18.
198
Let a = 3755 + -150181/40. Calculate the common denominator of 47/634 and a.
12680
Let v = 9199703/690 - 39997/3. Find the common denominator of 43/25 and v.
1150
What is the common denominator of 19/37 and -10 + 2 + -2 + (-207555)/(-20276)?
148
Let x = -4443/4 + 139921/126. What is the common denominator of 145/2856 and x?
8568
Let b = 16 + -6. Let y(x) = -681*x + 4116. What is the lowest common multiple of b and y(6)?
30
Let q = -317/45 + 4021/360. Let v = 55/23 + -2205/874. Calculate the common denominator of v and q.
152
Let m = -24265 + 582245/24. What is the common denominator of m and -17/22?
264
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