q.
40
Let j be ((-30)/(-4))/((-2)/(-12)). Let t = j + -42. What is the lowest common multiple of t and 10?
30
What is the common denominator of 97*(2 - (-273)/(-140)) and -41/10?
20
Let m be 28/10*(-2251865)/2508. Let w = m + 2514. Let s = 125/38 - w. Calculate the common denominator of s and 99/10.
30
What is the common denominator of (38/(-48))/((-33)/9 - -6) and 63/32?
224
Suppose 1 = -l, 2*f - 3*l = 3*f - 215. Let v = f + -1063/5. Find the common denominator of v and -18/35.
35
Calculate the smallest common multiple of ((-772)/(-1 - -5) + -5)*-1 and 22.
198
Let l be (3 + (-14)/6)/(5/390). Suppose 4*c - l = 4*n - 2*n, -6 = 3*n. What is the lowest common multiple of c and 10?
60
Suppose z + 5*k + 6 = 14, -3*z + 4 = -5*k. Calculate the lowest common multiple of z and 6.
6
Suppose 3*v = -2*s - 15, 6*v = -4*s + v - 27. Calculate the common denominator of -28/5 and (-3)/s - 102/22.
55
Let g = -30753 - -117619/4. Let y = 1372 + g. Find the common denominator of y and (4/(-30))/((-12)/819).
20
Suppose 3*q - 15 = 0, q + 0*q - 6056 = s. Let a = -72667/12 - s. What is the common denominator of 9 + ((-28197)/162)/13 and a?
36
Suppose 0 = -3*t + 3*v - 6, -4*t - 5*v = -3*t - 28. Calculate the common denominator of ((-26)/(-124))/(-5*t/(-15)) and 95/4.
124
Suppose b + 2*b - 15 = 0. Let v be 2/b - (-16)/10. Suppose -v*k - 3*k + 100 = 0. What is the lowest common multiple of k and 2?
20
Suppose 13*g - 17*g - 80 = 0. Calculate the lowest common multiple of 8 and (-3 - -44 - 2)*g/(-6).
520
Let c be (-1)/2 + (-2334652)/(-312). Let g = -7483 + c. What is the common denominator of 37/10 and g?
390
Let t = 71 + -59. Find the common denominator of 12/5 and (3/(-34))/(t/176).
85
Let i = 100 + -84. What is the smallest common multiple of i and 84?
336
Suppose -20*y + 16*y = -136. What is the smallest common multiple of y and 18?
306
Suppose -2*w - 6 = -4*u, 4*w - 10 = 4*u - 7*u. What is the least common multiple of 19 and w?
19
Let g = -142941/34 + 4201. Calculate the common denominator of g and ((-11)/(-55))/(12/235) + -1.
204
Let a(y) = y**3 - 7*y**2 + 5*y + 8. Let o be a(6). Suppose -12 = b - 4*b, -o*h + 5*b + 20 = 0. What is the least common multiple of h and 10?
20
Let j = -17710 + 708319/40. What is the common denominator of j and -59/180?
360
Suppose 6*q - 599 = 4837. Calculate the lowest common multiple of 8 and q.
3624
Find the common denominator of ((-20)/(-50))/(108/425) and -131/48.
432
Find the common denominator of -95/18 and (-14*63/90)/(32/(-10)).
144
Let o(z) = -z**2 - 15*z + 42. Let x be o(-17). What is the least common multiple of 38/2 + -2*4/x and -3 + (3*4 - 1)?
72
Let c = 1368 + -6857/5. What is the common denominator of c and 4/9?
45
Let n = -87981/22 + 4002. Calculate the common denominator of n and ((-109)/18)/(4/6).
132
Suppose 5*a = 4*a. Suppose 0 = -a*x - 6*x + 60. What is the smallest common multiple of 30 and x?
30
Let u = 420 - 408. What is the least common multiple of u and 148?
444
Suppose 15 = 4*i - 17. Let c(s) = s**3 - 6*s**2 - 5*s - 5. Let m be c(-5). Calculate the least common multiple of 10 and m/(-12) + 6/i.
110
Suppose 5*f + 14 = 2*f - 5*x, -4*x - 12 = 2*f. Find the common denominator of 12/9 + (f/8)/1 and -119/12.
12
Suppose 323 - 365 = -7*c. Calculate the least common multiple of 11 and c.
66
Suppose -2*h - f - 2105 - 1132 = 0, -8070 = 5*h - 2*f. Let c = -14488/9 - h. Let a = 39/80 - -851/80. What is the common denominator of a and c?
72
Let u = 16 + -20. Find the common denominator of (-164)/504 + u/14 and (1/(-2))/((24/(-184))/3).
18
Let d(f) = -f**2 - 6*f + 7. Let m be d(-7). Let r = -8 - m. What is the smallest common multiple of r/28 + (-648)/(-14) and 2?
46
Let d(c) = -3*c**2 + 11*c - 2. Suppose 0 = u - 3*u + 40. What is the least common multiple of d(3) and u?
20
Let x be 26/(-12)*(-819)/135. Let r = x + 16/45. Find the common denominator of r and -76/3.
6
Suppose -5*w - 10 = -2*h - 54, -4*h - 88 = -5*w. Let d be -1 - ((-76146)/h)/(-1). Let u = -3465 + d. What is the common denominator of u and 93/10?
110
What is the common denominator of (4 + (-1593)/396)*25 and -17/8?
88
Let d(y) be the first derivative of 2*y**3/3 + 5*y**2 - 17*y + 20. Calculate the lowest common multiple of ((-3)/4)/(1/(-4)) and d(-7).
33
Let t = -15 + 29. Let d = -3 + t. Calculate the lowest common multiple of 9 and d.
99
Let b = -149 + 140. Suppose 2*n = -0*n - 14. Let h = n - b. Calculate the smallest common multiple of 4 and h.
4
Let g = -828920434 + 8200509890890/9893. Let r = 3/761 - g. What is the common denominator of ((-86)/2)/(2 - -8) and r?
130
Suppose -2*q + 0*k + 28 = -2*k, 3*q + 3*k = 18. Suppose -5*t - 5*m + q = 0, m - 5*m + 9 = 3*t. Find the common denominator of -91/8 and 0 + t/(-48)*249.
16
Find the common denominator of (-62)/(-341) - 267/440 and 47/116.
1160
What is the common denominator of -19/71 and (3*(-1 - (-59)/2))/6?
284
Calculate the smallest common multiple of 11 and (((-400)/(-70))/4)/(1/112).
1760
Calculate the least common multiple of 30 and -1 + (-8)/((-32)/404).
300
Suppose -205*g - 45 = -206*g. Calculate the least common multiple of g and 21.
315
Let l(k) = -k**3 - k**2 - 2. Let r be (-1 + 0)*0/(-1). Suppose r = 12*h - 10*h + 4. What is the smallest common multiple of 5 and l(h)?
10
Suppose 2*w = v + 99 + 242, -4*w - 5*v = -647. Calculate the lowest common multiple of w and 8.
168
Suppose -4*r + 7*r = 66. Suppose 1 = -3*j - 0*j - 2*k, 4*j - 2*k = r. Calculate the smallest common multiple of 7 and j.
21
Let i = -20 + 30. Suppose 0*x - i = -5*x. Suppose 0 = -2*k + x + 16. What is the smallest common multiple of k and 6?
18
Calculate the common denominator of (726/(-24) - -5)*-1 and (-4)/(-10) - 1772/(-120).
12
Let s = -103/19 - 313/114. What is the common denominator of 7/(-28) + (-194)/8 and s?
6
Let q = 3/254 - -5266/381. Let w be ((-37)/10 - -3)*(-3124)/178. Let g = w + 28/89. Find the common denominator of g and q.
30
Let x = 65 - 36. What is the common denominator of -25/6 and (195/48 - 4)*x?
48
Let o(g) = -2*g + 12. Let h be o(-12). Suppose 2*n + p = 6*n + 114, n = 4*p - h. What is the common denominator of (-1)/(n/300) + -4 and 79/6?
42
Let a be 11190/36*95558/140. Let v = -212165 + a. Let u = v + -37/21. What is the common denominator of u and -17/22?
44
Let w be (-6)/4*(5 + -3). Calculate the smallest common multiple of -3*1/((-9)/12) and 18/(w - (-4)/1).
36
Suppose 0 = -2*w - 2*j + 14, -2*j - 9 = 4*w - 35. Let q be w/(-21) - (-30)/7. Suppose -q*h + 33 = -11. Calculate the least common multiple of h and 2.
22
Let l(o) = 3*o - 26. Let w be l(12). Find the common denominator of 127/10 + w/(-25) and -111/22.
110
Let m(h) = 3*h**3 + 12*h**2 - h + 6. Let d(s) = 2*s**3 + 11*s**2 - s + 5. Let f(k) = -4*d(k) + 3*m(k). Calculate the least common multiple of 27 and f(8).
54
Suppose -z + 117 = 3*w, -4*z + 8*z + 12 = 0. Calculate the least common multiple of 645 and w.
5160
Find the common denominator of (-3)/(3/3)*(-34)/300 and ((-5)/25)/(16/(-410)).
200
Let r = 8624 + -198396/23. Let z = -30/17 - 215/119. What is the common denominator of r and z?
161
Suppose 112 = 5*d - 4*n, 5*n = n + 8. Calculate the smallest common multiple of d and 12.
24
Suppose 4*p = -4*g - 32, p + 2 = 2*g - 0. Let u = p + 11. What is the least common multiple of (-4 - 92/(-24)) + 469/42 and u?
55
Let t be (60/(-8))/((-2)/4). Let d(w) = -2*w + 4. Calculate the smallest common multiple of 3/(-15) - (-33)/t and d(-3).
10
Let y = 14/11 - -53/88. Let h be ((-12)/15)/((-42)/(-8385)). Let u = 9691/63 + h. Find the common denominator of u and y.
72
Suppose -5*a = 43 - 173. Let w be (-302)/12 + (-3)/(-22 + 4). Let f = 27 + w. What is the least common multiple of f and a?
26
Let l = -324 - -464. What is the lowest common multiple of l/60 - 1/3 and 2?
2
Let f(r) = 7*r**3 - r**2. Let s(o) = 2*o - 19. Let i(h) = 2*h - 20. Let u(q) = -3*i(q) + 4*s(q). Calculate the least common multiple of f(1) and u(12).
24
Let g = 3558 + -138772/39. Let i = g + 313/156. Calculate the common denominator of (3/(-60))/((-36)/2565) and i.
16
Suppose 4*r = -c + 2, 4*r - r = 2*c - 15. What is the smallest common multiple of c and 2?
6
Let r = -4/18093 + -315609/60310. Calculate the common denominator of r and 64/2400*785/4.
30
Calculate the smallest common multiple of (