f 19 and w?
171
Let j(b) = -b**2 - 9*b + 29. Let t be j(-11). Let w(k) = k**2 - 6*k - 1. Let h = 18 + -1. Calculate the lowest common multiple of h and w(t).
102
Let g be ((-4)/(-10))/((-9)/(-2160)). Let s = -94 + g. Suppose -5*y = 4*f + 30, 1 = -2*f + s*y - 5. What is the common denominator of f and -67/6?
6
Suppose -87*m + 96*m = -216. Calculate the least common multiple of 16 and ((-78)/(-9) - 7)/((-1)/m).
80
Let u = 14 - 131. Let q be u/(-6)*(-4)/(-3). What is the least common multiple of 13/q - (-2)/((-4)/(-11)) and 18?
18
Let x = 24144 + -23704. What is the lowest common multiple of x and 40?
440
Suppose 12 = -3*g, 3*w - 56 = -3*g + 88. Let b = 26 - 17. What is the least common multiple of w and b?
468
Let x(s) = -s**3 - 5*s**2 + 22*s + 119. What is the least common multiple of 35 and x(-8)?
945
Suppose 3*g + 2 - 14 = 0. Let u be -1*(2/1 - g). Calculate the common denominator of (103/u*(-4)/6)/(-4) and 41/16.
48
Let l(g) be the second derivative of -g**4/12 + 11*g**3/6 + g**2 + 6*g. Let b be l(11). Calculate the common denominator of -77/16 and (-2330)/(-1540) + b/(-7).
176
Suppose 156*m = 148*m + 2016. Calculate the least common multiple of m and 924.
2772
Let j = 1045 - 1033. Calculate the smallest common multiple of 9654 and j.
19308
Suppose 13*k + 2174 = 7478. Calculate the lowest common multiple of k and 306.
1224
Let j(h) = -3*h**2 - 2*h + 27. Let v(n) = 10*n**2 - 3*n - 4. Let b = -1 + 0. Calculate the smallest common multiple of j(0) and v(b).
27
Let w = -1 + 3. Suppose -2*n + i + 32 = -i, 1 = n + w*i. Let g(m) = 3013*m - 903899. Calculate the lowest common multiple of n and g(300).
11
Suppose 37*q + 35 = 32*q. What is the common denominator of 87/22 and 53/(-16) + (-5 - q)?
176
Let f(x) = 33*x**2 + 2*x - 2. Let r be f(-1). Suppose -419 = -14*t + r. Calculate the lowest common multiple of 7 and t.
224
Calculate the common denominator of -133/36 and 2*((-15)/1620*66)/(4/22).
36
Let x = 243 + -234. Let t(k) = 30*k + 30. What is the least common multiple of t(2) and x?
90
Let p = 2 - 8. What is the least common multiple of 41 and -9*(2 - p/(-2))?
369
Let j(r) = -10*r**2 + 156*r + 64. Let c(q) = 2*q**2 - 39*q - 16. Let z(o) = -9*c(o) - 2*j(o). Calculate the least common multiple of z(-20) and 54.
108
Let a be 3*1 - (-11)/(-33)*9. Suppose a = -55*p + 47*p + 240. What is the smallest common multiple of 30 and p?
30
Let w = -48 - -97. Find the common denominator of 85/18 and 58*w/(-672) + 2.
144
Let u = 223 - -88. Suppose 161 = -5*x + u. Calculate the smallest common multiple of x and 9.
90
Let y = -69568/5 - -16070023/1155. What is the common denominator of -73/48 and y?
3696
Find the common denominator of ((-1)/3)/((-910)/(-1001)) and -63/2260.
6780
Suppose 0 = -70*y + 59*y. Suppose y = -4*k + 755 - 715. Let x(t) = -3*t - 2. Calculate the smallest common multiple of x(-8) and k.
110
Let r(l) be the second derivative of 13*l**3/3 - 153*l**2 - l + 19. Let h(m) = 15*m. Calculate the lowest common multiple of r(12) and h(2).
30
Calculate the least common multiple of (-14 + 4644/(-48))/((-10)/240) and 886.
2658
Let c(i) = 13*i - 46. Let g be 6/(-3) - (-46 - 3). Let v = g + -41. Calculate the lowest common multiple of 4 and c(v).
32
Let r = -9 - -59. Let g = -655 - -663. Suppose 0 + g = s. What is the smallest common multiple of r and s?
200
Let l = -111 - -156. Let g = l + -42. Suppose -7*u + g*u = -8. Calculate the least common multiple of u and 6.
6
Let s(c) = c**2 - 9*c - 9. Let f(i) = -i + 17. Let p be f(15). Suppose -p*j = g - 6, 3*j + 22 = 5*j - 3*g. Calculate the lowest common multiple of j and s(10).
5
Suppose 1180 = -256*u + 251*u. Let i = u - -240. What is the smallest common multiple of 27 and i?
108
Let h(w) = -13*w**2 + w - 4. Let i be h(2). Let o = -44 - i. Calculate the least common multiple of (32/o)/(36/450) and 25.
200
Let j(b) = 22*b + 34. Let q be j(2). Let o = q - -228. What is the lowest common multiple of o and 22?
3366
Let u = -5737 + 229453/40. What is the common denominator of u and 31/2570?
10280
Calculate the common denominator of 48/151 and ((-8)/(-128))/(11/1804).
604
Let o(w) = w**2 + 5*w - 3. Let a be o(-7). Suppose -2*t + 17 = -a. Let k(s) = 2*s**2 + 47*s + 274. Calculate the lowest common multiple of t and k(-16).
238
Let f(x) = -x**2 + 25*x + 4. Let u be 0/(-6) - (-16 - 0). Suppose 3*t - 24 = -4*a, 2*a = -5*t + u + 24. What is the least common multiple of f(0) and t?
8
Let z = 804829 + -726760676/903. What is the common denominator of z and -26/231?
9933
Suppose -2204*c - 1557 = -5965. Suppose -2*f + 1308 = f. Calculate the smallest common multiple of c and f.
436
Suppose 34 = 5*u - 46. Suppose g - 1 = 14. Suppose -2*v + g = n, -3*n = 3*v - 14 - 1. What is the least common multiple of u and v?
80
Suppose 3*j = 15, -4*h - j + 0*j - 7 = 0. Let q be (-14170)/(-15) - (h + (-32)/(-12)). Find the common denominator of (-3)/(-2) - q/165 and 131/6.
66
Let d = 747 - 520. Suppose -8 = -4*w, 0 = -3*r + 9*w - 7*w + d. Calculate the least common multiple of 42 and r.
462
Suppose 0 = -2*n + 4, -2*b = 2*b - 2*n - 140. Let z be (b/(-8))/(((-4)/(-56))/1). Calculate the common denominator of (-3*2/16)/(z/1876) and 46/9.
18
Let i = 1672 + -13299/8. Find the common denominator of i and -55/469.
3752
Suppose -4*v = -29*v + 868 + 32. What is the smallest common multiple of v and 264?
792
What is the lowest common multiple of (-5955404)/(-793) + 20/610 and 10?
7510
Let g = -17568/222229 + -14/599. Find the common denominator of -13/318 and g.
2226
Let d = 5273 - 732975/139. Let k = d + -7977/1112. What is the common denominator of -79/142 and k?
568
Suppose 3*p + 26 = -4*w + 1, -p + 36 = -5*w. What is the common denominator of 1/w - 6559/(-294) and 13/19?
114
Find the common denominator of 59/12 and (9565/(-1400) + 7)/(2/(-10) - 1).
336
Let j(y) = y**3 + 36*y**2 + 238*y - 3. Suppose -4*r + 532 = 4. Calculate the least common multiple of r and j(-9).
924
Suppose 3*h - 18 = 3*d, -3*h + 2 = 2*d - 1. Let t be 44/(-15) - (-2)/d. Let b = -19/15 + t. Find the common denominator of b and -52/3.
15
Let c be 4 - ((-1340)/6)/(32/48). Suppose 0 = -19*m + 516 + c. What is the smallest common multiple of m and 55?
495
Calculate the smallest common multiple of (-8)/(-164) - 51/(31365/(-450150)) and 1464.
1464
What is the common denominator of 78/34*(519/(-54) + (59 - 49)) and -59/138?
2346
Suppose -q = -a - 70, -10*q - 140 = -12*q + 3*a. Let x(t) = -17*t - 178. What is the smallest common multiple of q and x(-14)?
420
Suppose 5*u - 4*u - 1 = 0, -5*u = p + 4. Let l(q) = 2*q**2 + 13*q - 4. Let f be l(p). Let b = 42 - f. What is the lowest common multiple of b and 18?
18
Let s be (-7)/(49/91)*36. Find the common denominator of (-1)/(-2) + (-1118)/s and 34/11.
99
Let z(p) = -p - 9. Let v be z(-14). Suppose -b + v*n = 18, -2*b + 0*n = -n - 9. Let y(h) = -122*h + 489. Calculate the least common multiple of b and y(4).
7
Let k = 59 + -44. Let q be (-5)/(k/(-144)) - 1/1. Find the common denominator of ((-1)/2)/(2/q) and 25/11.
44
Let n = -43/384 + -13073/4992. Let p = 1657/16 + -103. Calculate the common denominator of p and n.
208
Let d = 431137 - 431125. Let q(w) = 543*w - 1. What is the smallest common multiple of q(1) and d?
3252
Let t = 74 + -57. Suppose 3*p = t + 19. Suppose 0 = g - 3 - 1. What is the lowest common multiple of g and p?
12
Let r(f) = 7*f - 17. Let g be r(3). Suppose -g*d + s + 80 = 0, 60 = 3*d - s + 5*s. What is the least common multiple of 2*43/2 + 1 and d?
220
Suppose -13 = -2*s - d, -2*s + 13 = 5*d - 4. Let l = -1135 - -1143. Suppose c + 5*y = 17, -35 = -3*c + l*y - 7*y. What is the lowest common multiple of c and s?
12
Suppose -33*p + 31*p = 4*h - 856, 1670 = 4*p + h. What is the least common multiple of 8 and p?
416
Suppose -4*g - 148 = -0*s - 3*s, 2*g + 184 = 4*s. Suppose 2*l + 2*v + 719 = 761, v = 3*l - 59. Calculate the smallest common multiple of l and s.
220
Let u be 4/((-1)/((-21)/28)). Suppose u*g - 162 = 36. What is the lowest common multiple of 30 and g?
330
Suppose 10*p - 2883 = -21*p. What is the common denominator of -10/23 and 5 - (p/(-9) + -5)?
69
Let c(q) = -2*q**2 - 4*q + 72. Let z be c(-7). Suppose -7*p + 8*p - 13 = 3*b, -2*p - z*b + 34 = 0. Calculate the least common multiple of p and 144.
144
Let c = 