
Let z(k) = 6*k + 19. Let r(f) = f**3 - 16*f**2 + 10. Let x be r(16). Suppose -1 = 3*a - x. Calculate the lowest common multiple of 7 and z(a).
259
Let z(v) = v**3 + 2*v**2 - 14*v + 44. Let m be z(4). Suppose 3*a = -2*c + m, 2*a + 75 = 4*a - 5*c. What is the lowest common multiple of a and 39?
390
Let v = 52 - 8. Let m = v - 20. What is the smallest common multiple of (-6)/9 + 92/3 and m?
120
Let l(o) = 4*o**2 - 22*o - 18. Let y be l(12). Suppose -18*w + y = 114. What is the lowest common multiple of 20 and w?
20
Suppose 210 = 4*s + s. Suppose -5*g - 3*t = -s - 5, 0 = 4*g + 5*t - 35. Suppose -y + 95 - 93 = 0. Calculate the least common multiple of g and y.
10
Calculate the common denominator of -39/551 and ((-566)/41035)/((-7)/10).
3857
Let g = -12069 + 13319. Calculate the lowest common multiple of 30 and g.
3750
Let s(t) be the third derivative of -t**5/60 - 5*t**4/24 + t**3/3 + 8*t**2. Suppose -7*x = -12*x + 30. Calculate the least common multiple of x and s(-2).
24
Suppose -2*p + 16 + 14 = 4*d, -3*d + 18 = p. Calculate the least common multiple of (-164)/(-6) + (-3)/(p/(-2)) and 21.
84
Let a be 18*5/4*4/6. Let r be 36/2*a/(-6). Let f = 67 + r. What is the smallest common multiple of 12 and f?
132
Let a be (6 - 6)/(1*-2). Suppose a = 4*s + 16, -4*s - 10 + 3 = f. What is the common denominator of 61/16 and ((-915)/10)/(f/3)?
16
Let t = -74 - -75. Suppose -5 = -4*x + 4*j - t, 4*j - 2 = x. Calculate the common denominator of 97/8 and (-1)/(-2)*(78/11 + x).
88
Let q = -2437/7 + 349. Find the common denominator of q and (47/36)/((-370)/40 - -9).
63
Suppose -8*j - 10 + 2 = 0. Find the common denominator of 79/8 and 3*j/(-3) - (-522)/(-620).
1240
Suppose 153*f + 18 = 159*f. Let g(n) = n**3 - 3*n**2 + 3*n. What is the lowest common multiple of 27 and g(f)?
27
Let w = -336 + 496. Let z = -104 + w. What is the lowest common multiple of 12 and z?
168
Calculate the common denominator of 144*(24/(-45))/(-8) and (-4)/160*186 - 2/(-10).
20
Let q = -287315 + 137911117/480. Find the common denominator of q and -149/6.
480
Let u = -5732 + 280893/49. What is the common denominator of (-4028)/1855*(-6)/48 and u?
490
Suppose 0 = 2*g - 65 + 63. Let y(m) = 3543*m**2 + 3*m. Let d be y(g). Let a = 85075/24 - d. What is the common denominator of a and -35/36?
72
Let h = 4/1785 + -4169/1785. Let n be (29/(-4))/(3/(-2)). Let d = h + n. Calculate the common denominator of d and -29/10.
10
Let q(g) = g**3 + 6*g**2 + 2*g + 3. Let f(w) = 10 + 3 + 6 + 2*w + 8. Let y be f(-16). Calculate the least common multiple of q(y) and 26.
234
Let r = 388 + -665. Let f = r - -304. Calculate the least common multiple of f and 9.
27
Let t = 334 + -439. Calculate the common denominator of 46/11 and ((-49)/455)/(9/t).
429
Let y = 19 + 8. Calculate the least common multiple of -14 + 18 - (-3)/(21/161) and y.
27
What is the common denominator of (2/(-48))/((-8)/(-1) - 724/93) and 93/256?
1280
Let c = -1548/65 + 705/26. Calculate the common denominator of 48/665 and c.
1330
Let v = 248 + -262. Calculate the least common multiple of ((-4)/(-5))/(v/(-35)) and 2.
2
Let q = 36867714/125 - 200519596107/679750. Let z = q - 2/2719. What is the common denominator of -37/4 and z?
4
Let w = -6577/658 + 124/47. Calculate the common denominator of w and (321/408)/((-4)/80*-5).
238
Let a(q) = -1986*q**3 + q**2 + 5*q + 1. Let f be a(-2). Let b = f + -8773. Let j = 42785/6 - b. What is the common denominator of j and -53/30?
30
Suppose 3*a - 987 = -131*l + 128*l, 4*a - 5*l - 1343 = 0. What is the least common multiple of a and 36?
2988
Suppose 29*f - 16*f = 66625. Let u be 11/27*23*547. Let d = u - f. Find the common denominator of d and 71/18.
54
Find the common denominator of (-40)/(-200) + 1*(-73)/275 and 2/775.
8525
Let n(m) = m + 7. Let i(j) = -j**2 + 7*j - 10. Let f be i(3). What is the lowest common multiple of 42/21 - (-26)/f and n(-4)?
15
Let v = -38 + 12. Let g = v + 24. Calculate the common denominator of 41 and (3/(12/(-59)) - 1)*g.
2
Suppose 5*n = 563 + 77. Suppose 0 = 6*y - n - 124. What is the lowest common multiple of y and 24?
168
Let z = -7927587164 - -1276348122677/161. Let s = z - 40927. Calculate the common denominator of s and 54/77.
1771
Suppose -2*y + 5 = 2*w + 13, -y - 14 = -4*w. Let i = 3312/11 - 299. Calculate the common denominator of i and w.
11
Let s = 82/2269 - 92968/1191225. Calculate the common denominator of s and 67/225.
1575
Let l(k) = 3*k**2 + 109*k - 110. What is the lowest common multiple of l(1) and 174?
174
Let u be ((-114)/(-152))/((-3)/(-32)). Calculate the common denominator of -111/44 and (-87)/u - (2 + -5).
88
Calculate the common denominator of 47/158 and ((-79135)/102)/35 + 23.
474
Let l(p) = p**3 + 6*p**2 - p. Let m = -193 - -189. Calculate the lowest common multiple of l(m) and 40.
360
Let a be -4 - (-41880)/6966 - 2. Let k = a - 45587/25542. Calculate the common denominator of (1/(-4))/((-1)/(-73)) and k.
44
What is the common denominator of (-6909)/658 + (-18)/(-8) and (-273)/(-18)*(-9)/30?
20
Let g = -19 + 41. Suppose -3*k + 7*r = 11*r - 16, 4*k = 4*r + 12. Calculate the smallest common multiple of g and (k/(-3) - -2)*(3 - 0).
22
Let i = 10099/5910 + 366/197. What is the common denominator of -19/375 and i?
750
Suppose -5*i = 10*i + 6180. Let w = i - -368. What is the common denominator of -49/8 and w?
8
Suppose 5*y - 147 = f, -3*y + 54 = -y + 2*f. Suppose 2*w = -6, l - 5 = 2*w - y. Find the common denominator of -3 + 2 + (-193)/l and -47/16.
240
Suppose o - 13 + 75 = 0. Let c = o - -71. Suppose -17*s + 22*s = 135. Calculate the lowest common multiple of s and c.
27
Let d be 1918*3/2*1425772/(-3). Let y = 76567585201/56 + d. Let s = y - -37042. Calculate the common denominator of -97/10 and s.
280
Let f = -86 - -95. Suppose 3*d - 265 = 2*h, 0 = -5*d - f*h + 14*h + 435. Calculate the smallest common multiple of 7 and d.
91
Suppose 0 = 2*k + w - 681, w + 685 = 2*k + 6*w. Calculate the common denominator of (k/(-90))/(-17) + (-319)/(-36) and -27/28.
84
Let n(h) = h**2 - 12*h - 16. Let z be n(28). Let b = -14290/33 + z. What is the common denominator of -1*4/216*2 and b?
297
What is the smallest common multiple of ((-6)/(-4))/(1268/(-128) - -10) and 26 + (-2 - (1 - 1))?
48
What is the smallest common multiple of 473136/24 - (7 + 8) and 8?
157592
Suppose 0 = 5*t - w - 630, 129 = 2*t - 2*w - 139. Let g = 3 + 7. Calculate the least common multiple of t and g.
620
Let m = -1190095/6 - -198328. Let j(n) = -5*n**2 + n**3 + n**3 - 3*n**3 + 6*n. Calculate the common denominator of m and j(-5).
6
Let x be -5 + 5551/1267 + 0. Let r = 28261/3258 + x. What is the common denominator of r and -55/81?
162
Let w = 1/515495 + -1752689/3092970. What is the common denominator of w and (-2)/(-5) + (-53)/285?
570
Suppose 17*h + 474*h + 207940 = 1168336. Calculate the least common multiple of 6 and h.
1956
Let k = 5006433/3741020 - 1/55015. What is the common denominator of k and 15/238?
476
Let d(b) = b**2 - 4*b - 17. Let x be d(-3). What is the common denominator of x/108*138/4 and -91/24?
72
Let o(r) = -2*r**3 - 2*r**2 + 169*r + 11. Suppose -2*a = -1 + 7, -3*h = -a - 135. Calculate the least common multiple of h and o(-10).
484
Let p = -1347223/514860 + 1/85810. Calculate the common denominator of (224/(-11200))/((-12)/(-20)) and p.
60
Let q = -8009 - -120106/15. Let i = -1239239/345 + 3592. Let o = -5983/1035 + i. Calculate the common denominator of o and q.
45
Let v be (48/(-18))/(-4)*-195. Let l = -122 - v. Let k = 5 - 2. What is the least common multiple of l and k?
24
Suppose 214 + 8894 = 4*z. Calculate the common denominator of 16/9 and 2/(-16) + (z/(-648))/23.
18
Suppose -4*t = -2*w - 2746, -4*t + 1951 + 794 = -w. Calculate the smallest common multiple of 2 and t.
686
Suppose -9*n + 2360 - 578 = 0. What is the smallest common multiple of 198 and n?
198
Let t = 9 + 12. Suppose 0 = 21*p - 18*p + 9, 0 = 4*l + 4*p - 324. What is the least common multiple of l and t?
84
Suppose 0 = 2*y - 2 - 2. Let o = -100 + 15. Let c = o - -93. What is the lowest common multiple of y and c?
8
Let y = -473487/4300 - -2746/25. Calculate the common denominator of y and 707*6/264 + (-4)/(-22).
172
Let v(p) = -1190*p**3 + p**2 + 15*p + 13. What is the lowest common multiple of v(-1) and 11