
Suppose 0 = 4*p - 30 - 2. Calculate the remainder when (-23)/(-4) - (-2)/p is divided by 2.
0
Let u(p) = -11*p + 97. What is the remainder when 194 is divided by u(8)?
5
Let n be 15/10 - 13/(-2). What is the remainder when 58 is divided by 0 - n/(-6)*9?
10
Let n(w) = 3*w**2 + 6*w + 3. Suppose -2*d - 2*d - 16 = 0. Suppose 65*c = 63*c + 2*q + 116, -30 = 5*q. What is the remainder when c is divided by n(d)?
25
Let x = 45 + -17. Let m(v) = 8*v + 40. Calculate the remainder when x is divided by m(-3).
12
Let a(m) = -4*m + 14. Let f be a(4). What is the remainder when f - 1 - (1 - 36) is divided by 11?
10
Let j be 1002/(-21) - 4/14. Let f = -18 - j. Suppose 25*k - 6*k - 1213 + 92 = 0. What is the remainder when k is divided by f?
29
Let o(g) = -g**3 - g**2 + 7*g + 5. What is the remainder when o(-4) is divided by 1/(123/30 - 4) - 4?
1
Let j(k) = 23*k**2 - 8*k + 24. Calculate the remainder when j(3) is divided by 10.
7
Suppose t = 6*z - z - 182, 0 = 4*z + t - 151. Let c(g) = -g**2 + 3*g + 2. Let s be c(6). What is the remainder when z is divided by -4 + 6 + 1 - s?
18
Let o = 200 - 195. What is the remainder when 78 is divided by o?
3
Suppose 3*c + 0*c = 21. Let r be -1*(-1 - c)/4. Let o(x) = x**2 + x - 4. What is the remainder when 6 is divided by o(r)?
0
Let x(s) = s - 2. Let o be x(6). Let q(k) = 4*k**2 - 5*k + 8. Calculate the remainder when q(o) is divided by 19.
14
Let q(v) = -8*v + 66. Let x be q(8). Suppose 3*i - 3*s - 63 = 0, -5*i = -i - x*s - 94. Calculate the remainder when 51 is divided by i.
25
Suppose -2*d = -4*d + 78. Let n(b) = b**3 - 5*b**2 + 11*b + 4. Let a be n(4). Suppose 9*m + a - 221 = 0. Calculate the remainder when d is divided by m.
18
Suppose 15*w = w + 5670. What is the remainder when w is divided by 11?
9
Let i(q) = 6*q + 37. Let v(p) = -3*p - 18. Let w(r) = -3*i(r) - 5*v(r). Calculate the remainder when 20 is divided by w(-8).
2
Let l = 3 + -4. Let a = l + 3. Suppose 35 - a = 3*c. Calculate the remainder when c is divided by 4.
3
Let z(w) be the third derivative of w**6/120 + 23*w**5/60 - 23*w**4/24 + 17*w**3/3 - 25*w**2. What is the remainder when z(-24) is divided by 3?
1
Let o be (-3)/(-1*(-6)/(-4)). Suppose -5 + 49 = o*j. Suppose -5*p + 3*p + 3*c = -4, 0 = -4*c + 16. Calculate the remainder when j is divided by p.
6
Suppose -o + 25 = 6. Let q(s) = -9*s + 11. Let b be q(-7). Let k = -64 + b. Calculate the remainder when o is divided by k.
9
Let y(z) = -z**3 - 3*z**2 + 66*z + 14. What is the remainder when y(-10) is divided by 4?
2
Let b(i) = i + 7. Let u be b(-6). Suppose 5 = c + u. Suppose 3*x + c - 19 = 0. Calculate the remainder when 22 is divided by x.
2
Let j be 1130/14 + 6/21. Suppose 36 = 9*o - j. Calculate the remainder when 129 is divided by o.
12
Let l(g) = 161*g**2 - 7*g + 10. Calculate the remainder when l(2) is divided by 129.
124
Let w(c) = 3*c**2 - 23*c - 2. Let j be 2 - 3/(-6)*2. What is the remainder when -2*(j + -4) + 8 is divided by w(8)?
4
Calculate the remainder when 17/3*(51 + 18) is divided by 33.
28
Suppose 2 = -2*i + 3*i. What is the remainder when (-716)/(-30) + i/15 is divided by 13?
11
Let t(s) = 7*s**2 - 26*s. Let f = 3 - -2. Calculate the remainder when t(4) is divided by f.
3
Suppose 133*l + 3799 = 162*l. Calculate the remainder when l is divided by 2/3 + (-192)/(-9).
21
Suppose 9*u = 919 + 359. Calculate the remainder when u is divided by 9.
7
Let j = -113 + 64. Let d = j - -112. Suppose -2*i - 99 = -3*v, 3*i = 3*v - i - 99. Calculate the remainder when d is divided by v.
30
Let o(q) be the first derivative of -3*q**2/2 - 14*q - 5. Let t be o(-8). Suppose -5*b + t + 420 = 0. Calculate the remainder when b is divided by 22.
20
Suppose 0 = -5*g + 189 - 79. What is the remainder when 107 is divided by g?
19
Suppose 8*n = -5*g + 3*n + 285, 2*g + n = 119. Let y = g + -48. What is the remainder when 165 is divided by y?
11
Let j(s) = s**2 + 15*s - 67. Calculate the remainder when 11 is divided by j(-19).
2
Suppose -4*b + 40 - 4 = 0. Let x(q) = -6 + 32*q - 20*q - 11*q. What is the remainder when x(b) is divided by 2?
1
Let z = -25 + 51. Calculate the remainder when 38/(-8 + (-12 - -21)) is divided by z.
12
Let x(p) be the second derivative of p**3/3 + 3*p**2 + 2*p - 156. Suppose -i = m + 2 - 14, 2*i + 6 = 4*m. What is the remainder when 38 is divided by x(i)?
18
Let o(a) = 1 - 10*a + 10*a + a**2. Let n be o(2). Let y = n - -5. What is the remainder when 39 is divided by y?
9
Let d = -500 - -722. Calculate the remainder when d is divided by 8.
6
Suppose -3*t = 9 - 21. Suppose c + 155 = 3*r, -t*c - 41 = -r - c. Calculate the remainder when r is divided by 7.
4
What is the remainder when 191/(-3)*-2 + (-2)/(-3) is divided by 18?
2
Suppose 3*a - d = 84, 2*a + 6*d = d + 56. Let g = 45 - a. Suppose 0 = -2*f + 4 + 94. Calculate the remainder when f is divided by g.
15
Suppose -5*f + 27 = n - 30, -n - 3*f = -65. Calculate the remainder when n is divided by (1 + -2 + -49)*(-128)/160.
37
Let j = -3 + 7. Let h(s) = -s**2 - 7*s + 4. Let r be h(-4). Suppose 3*b - 23 - r = 0. What is the remainder when b is divided by j?
1
Suppose -2*h = 1 + 5. Let n = 9 + h. Suppose -n = 2*y, 4*w + 0*y + 2*y = 2. What is the remainder when 4 is divided by w?
0
Let z = -17 - -31. Suppose -5*j - 5*s + 15 = 0, 3*s - 2 + z = 0. Suppose 2*o + 0*o = 2*f - 34, 2*f - o = 35. Calculate the remainder when f is divided by j.
4
Let b = -278 + 531. Calculate the remainder when b is divided by 32.
29
Let c = 101 - 84. Suppose -c*p - 345 = -18*p. What is the remainder when p is divided by 58?
55
Let v be 16/(-40) - (-2)/5. Let o = 5 + -1. Let i = o - v. What is the remainder when 15 is divided by i?
3
Suppose 13*i - 8 = 148. What is the remainder when 46 is divided by i?
10
Let m = -98 + 190. What is the remainder when m is divided by 24?
20
Let b(x) = -3*x - 6. Let n(u) = 4*u + 5. Let w(c) = 5*b(c) + 4*n(c). Let q be w(4). Calculate the remainder when 14 is divided by (-27)/q + 5/(-10).
2
Suppose 9 = 5*j - 6. Let b = 128 + -121. Calculate the remainder when b is divided by j.
1
Let f = 467 + -451. What is the remainder when 159 is divided by f?
15
Suppose 0 = -c - 2*g + 106, 5*c + 3*g - 536 = -g. What is the remainder when 348 is divided by c?
24
Suppose -2*l = -4*u + 10, -3*u + 102*l - 99*l - 3 = 0. Suppose 9*k - 30 = h + 4*k, -5*h - 96 = 2*k. Let a = 3 - h. What is the remainder when a is divided by u?
5
Let l = -104 + 150. Suppose c = l + 2. Calculate the remainder when c is divided by 13.
9
Calculate the remainder when 85 is divided by 2*3*(-38)/171*-36.
37
Suppose 0 = -7*m + 4 + 17. Suppose x - 37 = -m*q, 4*q - x - 54 = -7. Calculate the remainder when 23 is divided by q.
11
Let p(x) = x**2 - 3*x + 9. Let j = -13 - -19. Let d be p(j). Let i = -21 + d. What is the remainder when 23 is divided by i?
5
Suppose -26 = -5*u + 54. Suppose -78 = -q + 4*f, q - 136 = -q + 4*f. Suppose -8*h = -6*h - q. What is the remainder when h is divided by u?
13
Suppose 0 = -w + 2 - 5, 4*y - w = 27. Suppose 3*k - y*k = -33. Let h = -14 - -34. Calculate the remainder when h is divided by k.
9
Let t(s) = -3*s + 28. Let i(u) = 6*u - 57. Let d(r) = 2*i(r) + 5*t(r). Let h(w) = 6*w**2 - 2*w - 2. What is the remainder when h(2) is divided by d(5)?
7
Let x = 515 + -97. What is the remainder when x is divided by 30?
28
Suppose 32 = g - 0*g. Let b(c) = -c**2 - 4*c + 15. Let m be b(-7). Calculate the remainder when (-6)/18 + (-560)/m is divided by g.
29
Let g(f) = -f**3 + 2*f + 25. Let h be g(0). Let b = h + -11. Suppose 2*d - b - 118 = 0. What is the remainder when d is divided by 17?
15
Suppose 3*y = -5*h + 185 + 77, -6*y - 5*h = -544. Calculate the remainder when y is divided by 54.
40
Let q(o) = 16*o + 2. Let j be q(-2). Suppose 6*u = 3*u - 5*i + 62, 0 = 3*u - 4*i - 80. What is the remainder when u is divided by ((-84)/j)/((-4)/(-10))?
3
Let f(u) = -u - 7. Let q be f(-12). Suppose 4*s + q*w - 183 = 0, -4*w - 285 = -5*s + w. What is the remainder when s is divided by 11?
8
Let c(a) = 2 + 25*a**2 - 6 + 50*a**2 - 3*a + a. Let z(o) = -o**2 + o + 1. Let s(t) = c(t) + 3*z(t). Calculate the remainder when s(-1) is divided by 18.
16
Suppose -3*j - 15 = 0, 0 = -3*l + 7*l + 5*j - 367. What is the remainder when 102 is divided by l?
4
Suppose 18 = 5*r - 2. Let y = 1 +