ose 0 = -3*d + 3 + 57. What is the remainder when y(-31) is divided by d?
16
Suppose -269 = 3*t - 83. Let z = 89 + t. Calculate the remainder when z is divided by 5.
2
Let r(y) = 2*y - 3*y + 3*y - 6 + 0*y. Suppose 3*m - 5*m + 12 = 0. What is the remainder when 20 is divided by r(m)?
2
Suppose -203 = -0*l - 7*l. Let h(z) = z + 2. What is the remainder when l is divided by h(9)?
7
Suppose 0 = o - 1 - 16. Suppose 5*m + 67 - 217 = 0. What is the remainder when m is divided by o?
13
Let w = -52 - -53. Calculate the remainder when 19 is divided by w/(-8)*-4*22.
8
Suppose 0 = -6*v + 7*v + 80. Let t = -64 - v. What is the remainder when 79 is divided by t?
15
Let j(x) = 27*x + 178. Calculate the remainder when 411 is divided by j(-6).
11
Let u(z) be the second derivative of -z**4/12 - 4*z**3/3 + 15*z**2/2 + 8*z. What is the remainder when 27 is divided by u(-8)?
12
Let q(z) = -z + 2. Let m be q(2). Suppose 0*a - 3*a + 66 = m. Calculate the remainder when (-14)/77 + 2094/a is divided by 24.
23
Let k(f) = -4*f - 26. What is the remainder when 86 is divided by k(-11)?
14
Suppose -4*y = -2*y. Suppose 3*b + 0*v + v - 6 = y, b = -4*v - 9. What is the remainder when b is divided by ((-1)/(-4))/((-6)/(-24))?
0
Let t = 1453 - 1427. Suppose -4*b = -0*b - 276. Calculate the remainder when b is divided by t.
17
Let u(v) = -v**3 - 14*v**2 - 14*v - 2. Suppose 4*c + 4 = y, 4*c - 8*c = 5*y - 20. What is the remainder when u(-13) is divided by y?
3
Let z = 221 + -59. What is the remainder when z is divided by 41?
39
Suppose 0 = -19*n + 516 + 700. Calculate the remainder when n is divided by 52.
12
Let d be ((-75)/100)/(2/(-16)). Let f(r) = r**2 - r + 1. What is the remainder when 154 is divided by f(d)?
30
Let o = -12 - -2. Let p = 36 - o. What is the remainder when p is divided by 1 + -3 - -2*9?
14
Suppose -29 + 4 = -5*j. Let r(s) = -s**3 + 6*s**2 + 4. Calculate the remainder when 113 is divided by r(j).
26
Let r be -7 - (2 - (2 + 3)). Let d be 29 + r/((-16)/(-12)). Suppose -n - n = -d. Calculate the remainder when 48 is divided by n.
9
Suppose 2*t = -u + 27, 0 = -5*u + 3 + 2. Suppose 4*g + 4*l - 40 = 24, -4 = 4*l. Calculate the remainder when g is divided by t.
4
Suppose -6*x + 2 = -4. Let t be -1 + 7 - (x - -2). Suppose -i + 14 = -t. Calculate the remainder when 84 is divided by i.
16
Let l(r) = -1. Let a(f) = 2*f - 9. Let k(p) = -2*a(p) + 14*l(p). Calculate the remainder when 159 is divided by k(-9).
39
Let x(c) = c + 8. Let a be x(6). Let z = a - -31. Suppose -5*s = 3*q - 82 + 25, -2*s - 5*q + 19 = 0. Calculate the remainder when z is divided by s.
9
Suppose -4*i + 17 + 24 = 3*a, 3*a = i + 1. What is the remainder when i/(-16) + (-70)/(-4) is divided by (-1)/((-39)/18 - -2)?
5
Suppose -101 = -4*d + 59. Suppose 0*f = -4*q - f + 105, q + 3*f = d. What is the remainder when 73 is divided by q?
23
Suppose -4*y = 4*y - 1680. What is the remainder when y is divided by 27?
21
Suppose 5*z - 15 = -3*t - 2*t, 3*t = 0. Suppose 2*l - 2*q + 396 = 0, -6*l - 411 = -4*l + 3*q. Let f = l - -208. What is the remainder when f is divided by z?
1
Let g(o) = -43 + 2*o**2 + 44*o**3 + 42 - o**2. What is the remainder when g(1) is divided by 9?
8
Let s = 946 - 539. Suppose -145 = -12*u + s. What is the remainder when u is divided by 16?
14
Let f = 8 + 6. What is the remainder when 460 is divided by f?
12
Let j be (-3*(48/9)/2)/1. What is the remainder when ((-62)/j)/(5/60) is divided by 32?
29
Let v(k) = -5*k**2 - 7*k + 2. Let f(h) = 14*h**2 + 21*h - 8. Let i(x) = -6*f(x) - 17*v(x). Calculate the remainder when 18 is divided by i(6).
2
Let s = 12827 + -12812. Let f(m) = m**3 - 4*m**2 - 9*m + 7. Calculate the remainder when f(6) is divided by s.
10
Suppose -111 = -8*u + 121. Let d = 12 - -5. What is the remainder when u is divided by d?
12
Let n(j) = 3*j**2 + 3*j - 9. Calculate the remainder when 73 is divided by n(3).
19
Suppose -2*j - 256 = -3*t, -3*t + j = -6*t + 241. Calculate the remainder when t is divided by 18.
10
Suppose -4*f = f - 580. Let k = f - 84. What is the remainder when k is divided by 7?
4
Let t(m) = -4*m**2 + 5*m**2 + 2*m**2 - 487*m + 491*m + 4. Let k = -5 + 9. Calculate the remainder when t(k) is divided by 23.
22
Let o(u) = -16*u - 4. Let s be o(-4). Let v = s + -36. Calculate the remainder when 69 is divided by v.
21
Let m = -145 - -194. Suppose 4*p - 2*p = 4. Suppose -4*f - p + 29 = 5*l, -4*f + 37 = 3*l. What is the remainder when m is divided by f?
10
Suppose -166 - 23 = 3*x - o, 3*x + 5*o = -171. Let f = -46 - x. What is the remainder when 44 is divided by f?
12
Let g = 116 - 122. Calculate the remainder when 15 is divided by -1 + 6 + (-7 + 1)/g.
3
Let v(d) = d**3 - 5*d**2 - d + 7. Suppose -23 = -5*w + 2. Let q be v(w). Let i = q + 36. What is the remainder when 73 is divided by i?
35
Suppose -1757 = -8*m - 165. Calculate the remainder when m is divided by 67.
65
Let v(n) = 41*n + 9. Let x be v(3). Let u = -452 + 655. Suppose 4*b + 5*h - u = 0, 0 = 5*b + 3*h - x - 138. Calculate the remainder when b is divided by 15.
12
Let n be (1 + 1)*(-34)/(-3)*6. Suppose -11*v - n = -15*v. What is the remainder when 135 is divided by v?
33
Let v(d) = 2*d**2 - 7*d + 5. Suppose -16*x + 348 = -20*x. Let p = x + 92. Calculate the remainder when v(4) is divided by p.
4
Let h(m) = -m**3 - 5*m**2 + 5*m - 22. Calculate the remainder when h(-7) is divided by 15.
11
Suppose -21*y + 4307 = -11044. Calculate the remainder when y is divided by 241.
8
Calculate the remainder when (-3871)/(-35) + (-3)/5 is divided by 40.
30
Suppose 4*i - 3*u + 65 = 0, 3*u = -4*i - 2*u - 73. Let g = i + 23. Let o(r) = -16*r - 3. What is the remainder when o(-2) is divided by g?
5
Let s(g) = 6*g - 10. Let i be 8 - (0 - (3 + -2 + -4)). Calculate the remainder when s(i) is divided by 12.
8
Suppose 0 = 26*f - 34*f + 184. What is the remainder when 206 is divided by f?
22
Suppose 11*m - 502 = -238. What is the remainder when 429 is divided by m?
21
Let t(f) = f**2 + 2. Let x be t(3). Let a = x - 10. Let n(c) = 101*c**2 + c. What is the remainder when n(a) is divided by 35?
32
Let p be -2 + 52 + 0 + -1. Suppose -3*h = -11 - p. What is the remainder when 55 is divided by h?
15
Let r be 4 - (0/(-5) + 3). Suppose 2*n - 4 - 14 = -4*t, 2*t = n - r. What is the remainder when n is divided by 2?
1
Let t(i) = -2*i**3 + 24*i**2 + 13*i - 130. Suppose 153 = 2*z + z. What is the remainder when z is divided by t(12)?
25
Suppose 0 = 2*i - i - 24. Let q = i + -22. Let l = 17 + q. What is the remainder when 55 is divided by l?
17
Let w = -142 - -513. What is the remainder when w is divided by 34?
31
Suppose 1 = -w, s + w + 0 = 10. Let g = s - 4. Calculate the remainder when g is divided by -5*((-18)/(-10))/(-3).
1
Let c(x) = -13*x - 150. Calculate the remainder when 165 is divided by c(-12).
3
Let q = -458 - -937. Calculate the remainder when q is divided by 40.
39
Let a(w) = w**2 + 4*w - 6. Let b be a(-7). Let v = b - -6. Let x(l) = 5*l**2 + 6*l + 6. What is the remainder when x(-4) is divided by v?
20
Let x = 44628 - 44613. Suppose 0 = 3*q - 47 - 79. What is the remainder when q is divided by x?
12
Suppose 0*k + 4*k = 12. Suppose -k*p + 10 = p + 2*o, -3*o + 7 = 4*p. Calculate the remainder when 231/12 - (-2)/(-8) is divided by p.
3
Suppose -67 = -2*d + 3. Calculate the remainder when 174 is divided by d.
34
Let l = 32 - -157. Calculate the remainder when l is divided by 48.
45
What is the remainder when 50 is divided by (-376)/470*-2*(-50)/(-4)?
10
Suppose 125*c - 7788 = -1663. What is the remainder when 734 is divided by c?
48
Let s(q) = 2*q**3 - 2*q - 3. Let y be s(2). Suppose 0 = y*k - 4*k - 80. What is the remainder when 30 is divided by k?
14
Suppose -2*d - 187 = -5*c + 106, 2*c = -3*d + 102. What is the remainder when c is divided by 15?
12
Let x(c) be the first derivative of c**4/4 - 5*c**3/3 + 3*c**2/2 - 9*c - 5. Let k = -17 - -29. What is the remainder when x(6) is divided by k?
9
Let r(u) = -92*u + 15. What is the remainder when r(-2) is divided by 25?
24
Let v be 8 + 12/7 + (-6)/(-21). Let x = 32 - v. What is the remainder when x is divided by 6?
4
Let p = -13 - -18. What is the remainder when 2/3 - (-85)/(-45)*-6 is divided by p?
2
Suppose 0 = -23*b + 15*b + 152. Let z = -196 - -431. Let n = z - 160. Calculate 