b - 1. Let h be g(3). Suppose 29 = 2*c - w - 60, -h*c + 69 = -5*w. What is the remainder when c is divided by 16?
15
Suppose 6*m - 3*m - 105 = 0. Calculate the remainder when 101 is divided by m.
31
Let z(a) = -3*a - 2 + 2*a + 4 + 0. Calculate the remainder when z(-5) is divided by 3.
1
Let c(i) = -i**3 + 3*i**2 + 4*i + 1. What is the remainder when 1 is divided by c(4)?
0
Let r be (-42)/(-9) + 1/3. Let p(g) = -g**2 - g + 1. Let a(i) = -4*i**2 + 2*i + 5. Let v(d) = a(d) - 3*p(d). Calculate the remainder when v(r) is divided by 1.
0
Let d = -20 - -31. Let j = -23 - -43. What is the remainder when j is divided by d?
9
Let d(x) = 4*x - 5. Suppose 113 = -4*y + 781. Suppose 5*p + 12 - y = 0. What is the remainder when p is divided by d(4)?
9
Let y(u) = -u**3 - 5*u**2 + 2. Let b be y(-5). Suppose 0 = p - b*p + 23. What is the remainder when 45 is divided by p?
22
Let s = 48 + -48. Let d be -1*(0 - 0)/(-1). Suppose s*t - t + 31 = d. What is the remainder when t is divided by 16?
15
Let s(v) = -7*v + 2. Let c(f) = 15*f - 3. Let a(q) = 6*c(q) + 13*s(q). Let m be a(-6). What is the remainder when 43 is divided by m - (-1 + 1 + -1)?
13
Let j = 187 + -168. What is the remainder when 54 is divided by j?
16
Let t(n) = 33*n**3 + n. Calculate the remainder when t(1) is divided by 13.
8
What is the remainder when 4/6 + 82/3 is divided by 5?
3
Let c be (-2 + 21/9)*3. Suppose c = 2*u - 3. Suppose -44 = -u*z + 50. Calculate the remainder when z is divided by 24.
23
Suppose 3*s - 6 = 0, w = -0*s + 5*s + 19. Calculate the remainder when 83 is divided by w.
25
Suppose 0 = -2*c + 109 + 45. What is the remainder when c is divided by 35?
7
Suppose -q + 15 = -0*q + 3*k, 0 = q - k - 35. Suppose -2*w + q + 6 = 0. What is the remainder when 33 is divided by w?
15
Suppose 7*l - 364 = 3*l - 4*t, -3*t = -5*l + 495. Let a = l + -52. Calculate the remainder when a is divided by (-206)/(-14) + (-2)/(-7).
14
Suppose 0 = y + y + 10. Let t = y + 8. Suppose w = -t*w + 72. What is the remainder when 34 is divided by w?
16
Suppose x + 3 = 4*g, -x + 4 = -2*g + 7. Suppose g = -p + 4*p - 39. Calculate the remainder when -1*((-39 - 0) + 2) is divided by p.
11
Calculate the remainder when 51 is divided by (39/(-6))/(1 - 9/6).
12
Let s be ((1 + 2)*-2)/(-1). Let h be 1/3 + 88/s. Let a = -10 + h. What is the remainder when 14 is divided by a?
4
Let p(j) = -j**3 - 2*j**2 + j. Calculate the remainder when p(-3) is divided by 4.
2
Let l be ((-5)/(-10))/((-1)/14). Let c(q) = -q**3 - 7*q**2 - q - 3. Let r be c(l). What is the remainder when 1*20 + -3 + r is divided by 11?
10
Let l(r) = r + 11. Let t be l(-9). Suppose 0 = -t*k - 5*s + 41, -4*k = 2*s - 13 - 45. What is the remainder when 24 is divided by k?
11
Suppose -63 = -8*v + 89. What is the remainder when 89 is divided by v?
13
Let d(z) = z**2 + 2. Let m be d(-4). Suppose -3*y + 51 = -m. Suppose 4*p - 66 = -14. Calculate the remainder when y is divided by p.
10
Suppose -v = 2*c - 75, 5*v + 2*c + 2*c = 357. What is the remainder when v is divided by 18?
15
Let j = 12 - -1. Calculate the remainder when 35 is divided by j.
9
Suppose 0 = -d - d + 22. Suppose -15 = -3*i + 3. Suppose 0 = r - 2*r + i. Calculate the remainder when d is divided by r.
5
Let s be (-547)/(-9) - 4/(-18). What is the remainder when (s + 1)/(0 - -2) is divided by 16?
15
Suppose 45 + 10 = g. Suppose 4*m - g = 17. What is the remainder when 35 is divided by m?
17
Suppose 20 = -3*s + 3*r + 59, 105 = 5*s + 5*r. Calculate the remainder when 33 is divided by s.
16
Let b(w) = -w**2 - 7*w - 3. Calculate the remainder when 15 is divided by b(-3).
6
Suppose 0*t = -4*t + 156. Let a(o) = -2*o**2 - 15*o - 8. Calculate the remainder when t is divided by a(-6).
9
Suppose 2*p - 2*h - 26 = 0, -2*p - 2*h = -3*p + 15. Calculate the remainder when 21 is divided by p.
10
Calculate the remainder when 3/(-12) + (2 - 53/(-4)) is divided by 10.
5
Let h be ((-6)/(-2))/(-3) - -3. Let j = 6 + 2. Calculate the remainder when (-1)/((-62)/30 + h) is divided by j.
7
Let p = -20 - -49. Let y be 3/((-3)/14 - 0). Let c = y + p. What is the remainder when 29 is divided by c?
14
Suppose -2*a + 5*n - 32 = -11, 0 = -a - n. Let g be 1/(a/102*-2). Calculate the remainder when (2 - g)*30/(-9) is divided by 13.
11
Let a(r) = -r**3 - 6*r**2 - 2*r - 8. Let d be a(-6). Suppose 3*m + 4*s - 21 = 0, -s = -d*m - 2*s + 28. Calculate the remainder when m is divided by 4.
3
Let s(a) = a**2 - 10*a - 12. Let b(f) = -f**3 - 7*f**2 - 7*f + 6. Let t be b(-6). Let r = -4 + 50. What is the remainder when r is divided by s(t)?
10
Let p = 16 + -4. Suppose 3*m + 106 = 2*a, 0*m + a - 36 = m. What is the remainder when (m/(-1))/2*2 is divided by p?
10
Suppose -2*b + 4*v = -46, 0 = -b - 0*v + v + 21. What is the remainder when (-22 + -2)*(-14)/6 is divided by b?
18
Let u = 147 - 33. What is the remainder when u is divided by 30?
24
Calculate the remainder when 30 is divided by (-6)/(-60) + 357/30.
6
Let a = 1 + 11. Let b(d) = 3*d**2 - 14*d + 5. Let k(v) = -2*v**2 + 9*v - 3. Let t(w) = -5*b(w) - 8*k(w). What is the remainder when t(-5) is divided by a?
10
What is the remainder when 5 is divided by 1*-2*(1 - 3)?
1
Let r(g) = 3*g**3 - 11*g**2 - 12*g - 25. Let v(x) = -x**3 + 4*x**2 + 4*x + 8. Let h(l) = 2*r(l) + 7*v(l). Calculate the remainder when h(6) is divided by 11.
8
Let n be 57/2 + (-6)/12. Suppose -4*d = -0*x - x - n, -3*x - 2*d = 56. Let b = 6 - x. What is the remainder when b is divided by 9?
8
Let y be ((-38)/4)/((-3)/(-6)). Let p = 0 - y. Calculate the remainder when p is divided by 11.
8
Calculate the remainder when 58 + 4 + -1 - -4 is divided by 18.
11
Let d(p) = -2*p + 18. What is the remainder when d(-10) is divided by 8?
6
Calculate the remainder when 34 is divided by (-310)/(-25) - 2/5.
10
Let y be ((-9)/12)/(2/(-8)). Suppose h = d + 43 + 11, -170 = -y*h - 5*d. Suppose j - 6*j = -h. What is the remainder when j is divided by 4?
3
Let g(m) = 3*m**2 + 5*m - 7. Let i be g(-6). Let h = -49 + i. Suppose 3*o - 3*t = -h + 70, -5*o = 5*t - 80. What is the remainder when o is divided by 6?
4
Suppose -c - 2*t = 3*t - 15, 3*c = -4*t + 12. Let q = -3 - c. Let u(v) = 2*v**2 + 3*v - 4. Calculate the remainder when u(q) is divided by 2.
1
Let m = -3 + 10. Calculate the remainder when 13 is divided by m.
6
Suppose -2*s - 35 = -3*n - 0*s, n = -4*s + 21. Suppose -4*v - d - 53 = -0*d, 5*v + d + 65 = 0. What is the remainder when (0 - -1)*-2*v is divided by n?
11
Suppose 203 = -4*j + s, j + 50 = -0*s + s. Let o = -32 - j. What is the remainder when 36 is divided by o?
17
Suppose 4*j + 12 = 3*f, -4*f + 16 = -j - j. Let m = j - -51. Calculate the remainder when m is divided by 18.
15
Let a = 27 + -6. What is the remainder when 103 is divided by a?
19
Let s = 5 - 1. Calculate the remainder when 14 is divided by s.
2
Calculate the remainder when 29 is divided by (-1 - -2)*21 - 1.
9
Suppose 0*f + 2*v = -3*f + 38, 0 = 4*f - 2*v - 74. What is the remainder when 31 is divided by f?
15
Suppose -3*u + 14 + 10 = 0. Calculate the remainder when u is divided by -4 + (-1 - -2) + -2 + 8.
2
Let w = -87 - -137. Calculate the remainder when 94 is divided by w.
44
Suppose -5*s - 5*q = -10*q - 40, -4*s - 3*q = -53. Calculate the remainder when 20 is divided by s.
9
Suppose 4*x + 38 = 2*k - 0, -4*x = -k + 23. Calculate the remainder when 102 is divided by k.
12
Let m = 75 + -22. Suppose 2*q + 2*k - 32 = 0, 2*q - 2*k - 15 = 25. Calculate the remainder when m is divided by q.
17
Let i = 26 + -37. What is the remainder when (-11)/(i/24) + 1 is divided by 7?
4
Suppose 0 = -4*l + l + 57. Calculate the remainder when 49 is divided by l.
11
Let b(f) = 17*f**2 + 1. Suppose 0 = 4*w + 4 + 4. Calculate the remainder when b(-1) is divided by 119/14 - 3/w.
8
Let q(p) = -8*p**3 - 5*p**2 - 3*p - 17. Let k(n) = -3*n**3 - 2*n**2 - n - 6. Let m(c) = -11*k(c) + 4*q(c). What is the remainder when 47 is divided by m(2)?
11
Let r = 24 + -11. Let n be 3/18*3*66. Suppose -4*h = -115 - n. What is the remainder when h is divided by r?
11
Calculate the remainder when 19 is divided by (-26)/(-5) - 12/(-15).
1
Suppose -v - 32 = -5*v. Suppose -36 = -3*f - 2*p + 49, -2*f + 53 = 5*p. What is the remainder when f is divided by v?
5
Suppose 3*l + 9 = 4*g - 3*g, 3*l + 15 = 0. Let d = g - -8. Wha