te the remainder when 1540/(-66)*(-108)/21 is divided by 43.
34
Let d(q) = -q**3 + 2*q**2 + 3*q + 1. Let a = 11 + 7. Let r be -2*3/a*9. What is the remainder when d(r) is divided by 20?
17
Suppose -26*p + 34*p - 656 = 0. Calculate the remainder when p is divided by 19.
6
Let s(i) be the second derivative of -i**3/2 + 17*i**2/2 + 16*i. Calculate the remainder when 2 is divided by s(5).
0
Let y(q) = q**3 + 10*q**2 + q - 2. Let a be y(-10). Let r = a - -12. Suppose -6 = -r*d - d. What is the remainder when d is divided by 4?
2
Calculate the remainder when 179 is divided by (-23 - (2 - -4))*-3 + 5.
87
Let b be (2 + -1)/((-9)/(-18)). Let s be b + (1 - 2/(-1)). Let x(n) = 4*n - 6. Calculate the remainder when x(s) is divided by 4.
2
Suppose -2*i = -3*m - 3*i + 21, -3*m + i = -15. Let x(a) = a**2 - 10*a + 2. What is the remainder when x(12) is divided by m?
2
Let b(v) = -v**2 + 2*v - 3. Let p be b(3). Calculate the remainder when 114 is divided by p/(-10) + (-112)/(-5).
22
Suppose -4*y + 32 + 22 = -2*u, 0 = -y - 5*u + 30. What is the remainder when 97 is divided by y?
7
Let g(i) = -i**3 + 6*i**2 + 7*i. Let w be g(7). Suppose w = k - 3*t - 23, -8 = 2*t + 2. What is the remainder when 23 is divided by k?
7
Let t = 80 + -81. Calculate the remainder when (-4)/56*-926 - t/(-7) is divided by 24.
18
Let h be (1 - (-2)/(-1))*-7. Let r = h - 2. Let v(a) = a**3 - 2*a**2 - 2*a + 1. Calculate the remainder when r is divided by v(3).
1
Let b(x) = -x**3 + 3*x**2 - x - 20. Calculate the remainder when b(-4) is divided by 65.
31
Let b(l) = l**2 + 1. Let t(j) = 14*j**2 + j. Let s(q) = -5*b(q) + t(q). What is the remainder when s(3) is divided by ((-81)/6)/(2/(-4))?
25
Let t(w) = 2*w**2 + 17*w - 6. Let b be t(-9). Let v = b + 30. What is the remainder when v is divided by 6?
3
Suppose -181 = 4*a - 1297. Let l = a - 160. Let s = 25 + 5. What is the remainder when l is divided by s?
29
Let f(w) = w + 211. What is the remainder when f(-17) is divided by 49?
47
Calculate the remainder when 83 is divided by (-2)/(-2) + 26/2.
13
Suppose -5*a - 23 = -l - 0*l, -5*a = -4*l + 77. Suppose 0 = -f + 63 - l. Calculate the remainder when f is divided by -3 + 24 - (1 - 3).
22
Let p = -3 - -5. Suppose -3*u + 4*a = -16, 0*a = p*u + 2*a + 8. Let v(w) = w + 16. Calculate the remainder when 47 is divided by v(u).
15
What is the remainder when 1076 is divided by -3 - (-42)/12*4?
9
Let d(l) = -4*l - 17. Let n be d(-5). Suppose n*h - 69 - 516 = 0. Calculate the remainder when h is divided by 33.
30
Let q = 115 + -68. Suppose -5*c = -c + 8. What is the remainder when q is divided by 15/c*(-80)/25?
23
Suppose -3*j = -5*k - 102, j + k - 34 = -0*j. Calculate the remainder when 405 is divided by j.
31
Suppose -30*s + 7321 = -4319. What is the remainder when s is divided by 3?
1
Let k(c) = c**2. Let v(g) = 5*g**2 - 4*g + 2. Let u(b) = -2*k(b) + v(b). Calculate the remainder when u(3) is divided by 3.
2
Suppose 31*y - 2569 = 4158. Calculate the remainder when y is divided by 11.
8
Let k = 8 + -11. Let b(g) = g**2 + 3. What is the remainder when 45 is divided by b(k)?
9
Suppose -11*c - 6*c = -2278. What is the remainder when c is divided by 34?
32
Suppose 0 = -2*l + 3*l + 13. Let b(d) = -d**2 - 12*d + 18. Calculate the remainder when 19 is divided by b(l).
4
Suppose -k + 94 = 31. Calculate the remainder when 107 is divided by (84/k)/((-2)/(-57)).
31
Calculate the remainder when 10863/34*(-4)/(-6) is divided by 5.
3
Suppose 7*b = 4*b + 51. Suppose 3*r + 3*v - 7 = 257, -2*r = -5*v - 197. Suppose -r = -3*p + 8. Calculate the remainder when p is divided by b.
16
Let u = 53 - 50. Calculate the remainder when 3*(-196)/8*(-2)/u is divided by 25.
24
Let b(w) be the first derivative of -w**4/4 + 5*w**3/3 - 3*w**2/2 + 3*w + 4. Calculate the remainder when 19 is divided by b(4).
5
Let v = -22 + 23. Suppose 3*z - 5*l - 38 = 0, -z = -5*l + l - v. Suppose -2*i + i = -11. Calculate the remainder when z is divided by i.
10
Let i(b) = -8*b - 42. Let c be i(-9). What is the remainder when 38 is divided by (-2)/(-3) + 0 + c/9?
2
Let u be 1*-4 - (12 + -6). Let p(v) = -v - 8. Let h be p(u). Suppose -h*d = -3*d + 31. Calculate the remainder when 90 is divided by d.
28
Let d be (-1 - -1)*(-6)/(-18). Suppose 4*g - 5*g + 68 = d. Suppose 3*w + 2*n = 5 + 70, -5*n = 5*w - 130. Calculate the remainder when g is divided by w.
22
Let w = -17 + 23. Suppose -w*m + 11 = -31. Calculate the remainder when 25 is divided by m.
4
Suppose 3*j = 5*j - 3*x - 64, -3*x = 0. What is the remainder when 215 is divided by j?
23
Suppose -20*y + 15*y = 300. Let d = y - -83. Suppose 4 - 32 = -4*a. Calculate the remainder when d is divided by a.
2
Suppose 29*h - 4985 - 2323 = 0. Calculate the remainder when h is divided by 5.
2
Let j be -16*(0 - 2)/(-4). Let t = 19 - j. Suppose -3*s - 3*w + t = 0, 6*s - 3*w = 4*s + 38. Calculate the remainder when 37 is divided by s.
11
Suppose 4*y + 3151 = 5*s, 4*s - 527 = 5*y + 1992. Suppose 0 = -10*w + s + 329. What is the remainder when w is divided by 25?
21
Let c(n) = n**3 - 2*n**2 + 3*n - 13. Let j(t) = -3*t**3 + 6*t**2 - 10*t + 39. Let a(h) = -11*c(h) - 4*j(h). Calculate the remainder when a(5) is divided by 25.
22
Let v(g) = -g**2 + 21*g - 71. Suppose -2*j = 2*j - 112. Let n = j + -18. Calculate the remainder when v(11) is divided by n.
9
What is the remainder when 152 is divided by -2 - (-306)/14 - (-6)/42?
12
Suppose 11*w + 69 = 179. Let f(t) = 2*t + 7. What is the remainder when f(5) is divided by w?
7
Let s(a) = -a**3 - 12*a**2 - 11*a + 1. Let z be (-4)/((-4)/11)*-1. Let m be s(z). Suppose 8 + m = 3*j. What is the remainder when 4 is divided by j?
1
Let i = 10 + -5. Suppose -3*u = -3 - 12, i*a = 4*u + 75. Let o(s) = s**2 + 1. What is the remainder when a is divided by o(-3)?
9
Suppose 0*p - 3*p + c + 67 = 0, 2*c - 34 = -2*p. What is the remainder when 123 is divided by p?
18
Suppose -4*d = -2*x - 1586, -6*d + 10*d + 5*x = 1579. What is the remainder when d is divided by 21?
18
Let w = 385 + -360. Calculate the remainder when w is divided by ((-14)/(-3))/(4/6).
4
Let n(d) = 2*d**2 + 61*d - 15. Calculate the remainder when n(-32) is divided by 42.
39
Let t be 25/(-4) - (-1)/4. Suppose -13*c - 13 = -14*c. What is the remainder when (-18 + 1)/(2/t) is divided by c?
12
Let j(z) = -2*z**2 - 16*z - 5. Calculate the remainder when 73 is divided by j(-4).
19
Let i be -2*-3*(-1)/(-2). Calculate the remainder when 12 is divided by (i + 9/(-6))*24/9.
0
Let a be (3 + -2)/(4/20). Suppose 10 + 15 = -a*h. Let n = h - -15. Calculate the remainder when 28 is divided by n.
8
Let z(h) = -30*h - 1. Let c(j) = j**2 - j - 14. Let k be c(0). Let x = -16 - k. What is the remainder when z(x) is divided by 20?
19
Let g be (-24)/40 + 4/(-10). Let j be ((-12)/(-30))/(g/(-5)). Suppose -j*v + 193 - 39 = 0. What is the remainder when v is divided by 26?
25
Let q be 3 + (4 - -1*15). Suppose -4*z + 48 = l + 4*l, 5*z = 4*l - q. What is the remainder when 31 is divided by l?
7
Let h(y) = -y**2 + 16*y + 32. Let j = 1 + 16. Calculate the remainder when 59 is divided by h(j).
14
Let v(t) = 2*t + 10 - 7*t - 22. What is the remainder when 37 is divided by v(-5)?
11
Let m(g) = g**2 - 34. What is the remainder when 71 is divided by m(-7)?
11
Suppose 0*k = -6*k - 270. Let c = k - -52. Calculate the remainder when c is divided by 3.
1
Let c(m) = m**3 + 4*m**2 + 12. Let t be c(-4). Suppose 0 = -5*v - 3*h + 54, 3*v = -5*h + 10*h + t. Calculate the remainder when 44 is divided by v.
8
Suppose u = 4*a + 3*u + 178, -4*a = -5*u + 213. Let y = -20 - a. Suppose -2*i + 3*w = -2*w - 3, 3*w = 3*i - y. What is the remainder when 27 is divided by i?
13
Suppose -2*t + 109 = -87. What is the remainder when t is divided by ((-5)/4)/((-1)/20)?
23
Suppose t + 4*t = 25. Suppose 2*k = -4*r + 104, t*r - 4*k - 117 = -0*k. Calculate the remainder when 47 is divided by r.
22
Let a = 25 - 22. Calculate the remainder when a is divided by 3.
0
Suppose 0 = -5*b + 4*r - 65, 0 = -2*b + 2*r - 8 - 20. Let s = 16 + b. Suppose -47 = -2*c - 11. What is the remainder when c is divided by s?
4
Suppose -21*c = -0*c - 2457. What is the remainder when (-1*1)/(1/(-121)) is divided by (c + 6)*1/3?
39
Let g = 21 + -12. What is the remainder when 24 is divided by g/6 - (-161)/14?
11
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