(3). Let z = k + 30. Calculate the remainder when 26 is divided by z.
8
Let b(t) = t**3 + 5*t**2 + 2*t + 4. Calculate the remainder when b(-4) is divided by 7.
5
Suppose 20 = -4*u + 152. Calculate the remainder when u is divided by 17.
16
Suppose 2*n = -n - v + 93, 5*n - 159 = -3*v. Suppose -3*k + 0*k = -n. Calculate the remainder when 28 is divided by k.
8
Let l(v) = -v**3 + 3*v**2 + 4*v + 3. Let n be l(4). Let w = n + 3. Suppose w - 54 = -t. What is the remainder when t is divided by 17?
14
Suppose 3*h + 3*d + 6 = 5*d, 3*d - 9 = h. Let y = h + 15. What is the remainder when 58 is divided by y?
13
Let y = 87 - 53. Let s(x) = 4*x. Let l be s(1). Suppose -p - c = -2*c - 12, -2*p - l*c + 24 = 0. Calculate the remainder when y is divided by p.
10
Let f = -2 - 6. Let x = 34 + f. What is the remainder when x is divided by 14?
12
Let l be (-3)/(-2)*(-8)/6. Let f = l - -5. Suppose 2*z = f*y + 30 + 1, -z - 3*y = -38. Calculate the remainder when z is divided by 8.
7
Let b(t) = t**3 - 3*t - 3. Let z be b(3). Suppose 4*k - 96 + z = -3*m, 0 = -4*k + 5*m + 57. Calculate the remainder when 53 is divided by k.
17
Suppose 55 = 6*x + 7. Calculate the remainder when 37 is divided by x.
5
Let c = -3 - -8. Let t = c - -2. What is the remainder when 13 is divided by t?
6
Let l(n) = 4*n**3 - 2*n**2 - 2*n + 1. Let o(v) = v + 4. What is the remainder when l(2) is divided by o(8)?
9
Let j = -5 - -19. What is the remainder when 69 is divided by j?
13
Let o be (-2)/7 - 52/14. Let x = -5 + 15. Calculate the remainder when 17 + 2/o*0 is divided by x.
7
Suppose 0 = -4*k + o + 27, -2*k + 19 = -0*k + 5*o. Let g = 18 - k. Calculate the remainder when (-2)/(-5) + 412/20 is divided by g.
10
Let j be 3*(-3)/(36/128). Let n = 68 + j. Calculate the remainder when n is divided by 13.
10
Suppose 0*h + 2*h = 88. What is the remainder when h is divided by 12?
8
Suppose -4*l + l = -48. Suppose -s = 4, 4*s + l = 6*c - 2*c. Suppose -2*j + 7*j - 35 = c. Calculate the remainder when 11 is divided by j.
4
Let y = 18 - -15. What is the remainder when y is divided by 20?
13
Let j be 2/2 + 5*-77. Let y = -236 - j. Suppose -5*c + y = -c. Calculate the remainder when c is divided by 13.
11
Let m = 34 + -18. Calculate the remainder when 77 is divided by m.
13
Let n(w) = -w - 5. Let o be n(-9). Suppose 4 = -o*x + 12. Let f(v) = -2*v - 5. What is the remainder when f(-5) is divided by x?
1
Suppose 13*r - 35 = 6*r. Let y(h) be the third derivative of h**6/120 - h**5/15 - h**4/6 + 7*h**3/6 + h**2. What is the remainder when 22 is divided by y(r)?
10
Let c(p) = -p**3 - 11*p**2 - 11*p - 11. Let x be c(-10). Let b = 3 - 5. Let s = x - b. Calculate the remainder when 1 is divided by s.
0
Let r(b) = -13*b**3 + b**2 - 1. Calculate the remainder when (-223)/(-6) + 4/(-24) is divided by r(-1).
11
Suppose -87 = -3*m + 48. Let c(x) = -x**3 - 6*x**2 - 2*x + 4. Calculate the remainder when m is divided by c(-6).
13
Let y(o) = o**3 - 11*o**2 + 10*o + 7. Let a(h) = 2*h**2 - 6*h - 10. Calculate the remainder when a(6) is divided by y(10).
5
Suppose -2*p + 55 + 75 = 0. Calculate the remainder when p is divided by 17.
14
Suppose 5*p + 2*j = 194 - 6, 128 = 4*p - 4*j. Let m = p - 10. Calculate the remainder when m is divided by 14.
12
Suppose -8*h - 2 = -7*h. Let s be (-198)/(-42) - h/7. Suppose -4*v = -2*w - 80, -w - 3*w + 113 = s*v. Calculate the remainder when v is divided by 6.
3
Let r = -7 - 6. Let c be (-2 - r)*2*1. Suppose -3*o + 0*o + c = 4*s, -3*o - 20 = -2*s. Calculate the remainder when s is divided by 2.
1
Suppose -3520 + 520 = -4*f. Calculate the remainder when (-2)/(-9) - f/(-27) is divided by 15.
13
Suppose 8 = 4*u + 4. What is the remainder when u is divided by 1?
0
Let r be (5*29)/(-1) + -1. Let w be r/(-4) + 1/(-2). Suppose 12 = -3*k + w. Calculate the remainder when 23 is divided by k.
7
Let c(j) = j**2 - 2*j + 28. What is the remainder when c(14) is divided by 40?
36
Suppose 15 = 5*z, -4*i + z = -4 - 57. Calculate the remainder when -2 + (-33)/(-12) + (-452)/(-16) is divided by i.
13
Let u = 39 + -27. What is the remainder when 21 is divided by u?
9
Let l = -1 - -6. Suppose -j - 2*w + 17 = -w, 0 = l*j + 3*w - 75. Let t(b) = b**3 + 5*b**2 - 5*b - 3. What is the remainder when t(-5) is divided by j?
10
Let x be -1*2/4*-2. Let g be ((1 - 3) + 0)*1. What is the remainder when 8 is divided by (x - (-7)/(-2))*g?
3
Suppose 9 = r - h, 0 = 5*r - 3*h - 44 + 7. Suppose -r*y = 5*n - 2*n - 16, 0 = -5*n + 5*y. Calculate the remainder when 5/2*(-4 - (-1 + -5)) is divided by n.
1
Let z = 25 - 17. Let m = 14 + -10. Suppose -3*y = -4*g + 136, g + 109 = 4*g - m*y. Calculate the remainder when g is divided by z.
7
Suppose -3*s = -s + 2, 2*s - 130 = -4*r. Calculate the remainder when 63 is divided by r.
30
Let f(r) = -r**2 - 2*r + 1. Let s be f(2). Let h(y) = -y**3 - 8*y**2 - 9*y + 2. What is the remainder when 31 is divided by h(s)?
15
Suppose -2*g + 3*g - 23 = 0. Let s = g + -12. What is the remainder when 31*1 + (-2 - -2) is divided by s?
9
Suppose u + 3*m - 9 = 0, u + 2*m - 14 = -0. Suppose -233 = -4*q + 51. What is the remainder when q is divided by u?
23
Suppose -5*c + 95 + 125 = 0. Calculate the remainder when c is divided by 12.
8
Let r be (1/(-2))/((-3)/(-30)). What is the remainder when (-6)/4*184/(-12) is divided by (-124)/(-10) + 2/r?
11
Suppose 0 = o - 2*o + 2. Suppose 0 = q - o, -4*q = -2*h + q + 4. Let m = 67 + -55. What is the remainder when m is divided by h?
5
Let d(q) = -q + 29. Calculate the remainder when 55 is divided by d(15).
13
Suppose 222 = 3*q + 3*x, 32 = 3*q - 5*x - 166. What is the remainder when q is divided by 15?
11
What is the remainder when 128 is divided by (-2 - (-74)/4)*(2 + 0)?
29
Let r = 17 - -7. Suppose -42 = -3*k + r. Let m = 19 - 7. What is the remainder when k is divided by m?
10
Suppose 3*t + 3*y = 63, 0 = -t + 4*y + y + 45. Suppose -104 = -3*c + 7. Let x = -24 + c. Calculate the remainder when t is divided by x.
12
Let w(h) = 2*h**2 + 7*h + 2. Suppose 0 = -5*i + 3*u + 20, -i - 5*u + 0 = -4. Suppose -i*m - 250 = -9*m. Calculate the remainder when m is divided by w(-5).
16
Suppose 0 = 4*a - 379 + 63. Calculate the remainder when a is divided by 27.
25
Let l(s) = 2*s + 17. Let w be l(-17). Let c = -12 - w. What is the remainder when c is divided by 3?
2
Suppose 12 + 2 = 2*b. Let z = -53 + 79. Calculate the remainder when z is divided by b.
5
Let l(o) = -4*o + 2. Suppose 5*a = -5 - 5. Let n = -208 - -226. What is the remainder when n is divided by l(a)?
8
Suppose 0 = -g - 2 + 6. Let z(o) = 12*o - 2 + 0 - 2. What is the remainder when z(g) is divided by 15?
14
Calculate the remainder when 1 - -23*4 - 3 is divided by 46.
44
Suppose -w + 15 = 3*x, -x - 2 = -w - w. Suppose x*i - 3*i = 5. Calculate the remainder when 17 is divided by i.
2
Suppose 4*h - 178 + 62 = 0. What is the remainder when h is divided by 16?
13
Suppose 5*g = 3*k - 174, -232 = -4*k - 0*g - 2*g. Suppose -y + 3*w + 21 = -k, w = 5*y - 409. What is the remainder when y is divided by 21?
19
Suppose 5*i = -5*z + 10, -4*i + 9 = -2*z + 25. Let g be (3 - 1)/((-1)/(-32)). What is the remainder when 2/(-3) + g/6 is divided by z?
2
Let q be ((-27)/(-12))/((-9)/(-24)). What is the remainder when 45 is divided by 15*4/30*q?
9
Suppose -21 = d - 5*x, d + 6 + 3 = 2*x. Let y(i) be the second derivative of -17*i**3/3 + i**2/2 + i. What is the remainder when y(d) is divided by 12?
11
What is the remainder when 13 is divided by 267/39 - ((-6)/39 - 0)?
6
Calculate the remainder when 276/2 - 40/20 - -4 is divided by 47.
46
Let x(c) = -c**3 - 2*c**2 - 17. What is the remainder when x(-5) is divided by 20?
18
Suppose 6 = h - 12. What is the remainder when 52 is divided by h?
16
Let i be (-2)/(-4)*6 - 2. Let o(r) = 6*r - 1. Calculate the remainder when o(i) is divided by 2.
1
Let b(s) = 3*s**2 - 2. Suppose -4*k - 3*g = -3, 4*k + g = 4*g + 21. Calculate the remainder when b(-2) is divided by k.
1
Let l = 23 - 2. Calculate the remainder when (-3)/((-3)/65) + -3 is divided by l.
20
Let w = -15 + 3. Let k(z) = -z**3 + 9*z**2 - 10*z - 1. Calculate the remainder when k(7) is divided by (w/(-15))/(2/35).
13
Let d(f) = -f**3 + 9*f**2 + 13*f - 5. Calculate the remainder when d(10) is divided by 9.
7
Calculate the remainder when 77 is divided b