t z(n) = -n**2 - n + 1. Let g = -4 - -3. Let f(p) = g*m(p) + z(p). Calculate the remainder when f(5) is divided by 4.
3
Let y be 0 + -2 + (0 - -8). Suppose 5*a + 2 = y*a. Suppose 0 = 4*p - 4*k - 112, 0 = 4*p + p - a*k - 155. What is the remainder when p is divided by 9?
6
Calculate the remainder when 98 is divided by 687/(-42)*-2 - 32/(-112).
32
Let m(y) = -5*y - 22. Let i be m(-5). Suppose i*a - 63 = 4*z, -21 = -2*a + a - 2*z. What is the remainder when 82 is divided by a?
19
Suppose 108 = 4*v + 2*v. Calculate the remainder when 2448/30 - 2/(-5) is divided by v.
10
Let f be 83/3*(3 - 0). Suppose -4*z = z - 5, -4*t - 3*z = -f. Calculate the remainder when t is divided by 3.
2
Let y(x) = x. Suppose 5*z - 4*n = 5, -z - 2*n + 20 = n. Suppose 9*i = 7*i + 24. Calculate the remainder when i is divided by y(z).
2
Suppose 0*o - 2*o + 144 = 4*i, -4*i = 8. Let y be (-3 - (-9 - 0)) + 1. Suppose -3*g + 32 + y = 0. Calculate the remainder when o is divided by g.
11
Suppose -27*l - 377 = -40*l. What is the remainder when l is divided by 13?
3
Suppose 9*s - 2*y - 103 = 4*s, -2*y = s - 23. Calculate the remainder when s is divided by -2*(-3 - 44/(-16))*10.
1
Suppose -8*w = -119 - 9. Calculate the remainder when 78 is divided by w.
14
Let d(b) = 6*b + 5. Let p be d(-4). Suppose -3*q + 65 = 2*g - 44, -4*g - 46 = -2*q. What is the remainder when q is divided by (-36)/(-60)*(1 - p)?
9
Suppose 4*b - 92 = l, -4*l + l = -12. Let y be (-6)/(-24) - 910/(-8). Suppose y + 121 = 5*g. What is the remainder when g is divided by b?
23
Suppose 2*n = 13*n - 330. Suppose k = 3*v + 20, 22*k - 17*k - n = v. Suppose -w = -4*u + 71, w = -u + 14 - 0. Calculate the remainder when u is divided by k.
2
Let i be -1 + (-170*1)/(-2). Suppose -5*d + 9*d = i. Calculate the remainder when 59 is divided by d.
17
Let w(t) = -60*t + 6. Let g be w(3). What is the remainder when 47 is divided by (-27)/(-45) - (g/10 - -2)?
15
Suppose -45*a + 35*a + 50 = 0. Calculate the remainder when 69 is divided by a.
4
Let c = 815 - 674. What is the remainder when c is divided by 16?
13
Let n = 78 + -64. Let b(k) = -k**2 + 18*k - 35. What is the remainder when 40 is divided by b(n)?
19
Suppose 3*u + 4*k - 474 = 0, 4*k + 36 - 202 = -u. Calculate the remainder when u is divided by 27 - (-1)/(6 + -7).
24
Suppose o - 294 = -4*r, 3*r = 7*r - 2*o - 300. What is the remainder when r is divided by 21?
11
Let h(r) = 16*r - 5*r - 2 + 3*r. What is the remainder when h(2) is divided by 10?
6
Suppose 3*a - 3*r = 528, -171 = -7*a + 6*a - 4*r. What is the remainder when a is divided by 90?
85
Let p be (-26 + 30)*186/8. What is the remainder when (p/155)/(1/55) is divided by 19?
14
Let g(n) = 6*n**2 + 9*n. Let o be g(-2). Let d(k) = k**3 - 6*k**2 + 5*k - 12. Calculate the remainder when 35 is divided by d(o).
17
Calculate the remainder when 166 is divided by ((-26)/26)/((-4)/84).
19
Suppose 6*m = 4*m + 104. Let g be m/5 + 12/(-30). Let b(q) = -q**3 + 10*q**2 + q - 2. What is the remainder when 14 is divided by b(g)?
6
Let z(i) = i**3 + 19*i**2 - 10*i - 70. Calculate the remainder when z(-19) is divided by 53.
14
Suppose 2*c = 9*c. Suppose 2*l - 4*k - 26 = c, -2*l + 7 = 2*l + k. Suppose -l*w + 47 = d, -5 - 14 = -d + 4*w. Calculate the remainder when d is divided by 10.
5
Let m be (-1)/(-1)*(1 - (-2 + 1)). Let y(x) = 3*x**3 + x**2 + 2*x - 3. What is the remainder when 86 is divided by y(m)?
28
Let n be (-195)/(-21) + 12/(-42). Let r(c) = -c**3 + 10*c**2 - 3*c - 8. Calculate the remainder when 226 is divided by r(n).
42
Suppose x - 48 = -4*u, -119 = 2*x - 4*u - 155. Calculate the remainder when 130 is divided by x.
18
Let i = -30 - -30. Suppose 13*d - 19*d + 270 = i. Calculate the remainder when d is divided by 8.
5
Suppose -4*y = 14*z - 9*z - 2360, -2*z - 2917 = -5*y. What is the remainder when y is divided by 49?
46
Suppose -4*p = 2*c - 6, -p - 2*c + 1 = -c. Suppose -p*j + 0 = -12. Let d = 1 + 2. What is the remainder when j is divided by d?
0
Suppose -m - 2 + 7 = 0. Suppose -3*s + 24 = -4*r, 2*r - m = 4*s - 37. Calculate the remainder when 142 is divided by s.
6
Let i be (-3)/(-12)*-2 - (-1)/2. Let h(n) = 2*n + 12. What is the remainder when 31 is divided by h(i)?
7
Let s(q) be the third derivative of 11*q**4/24 + 13*q**3/6 + 9*q**2. What is the remainder when s(4) is divided by 30?
27
Suppose 5*p - 3*v = 36 - 3, 2*v = -2*p + 10. Let a = -55 - -77. Suppose -15*k = -17*k + a. Calculate the remainder when k is divided by p.
5
Suppose -2*t + 4*g + 80 = 0, 5*g + 9 = -2*t + 80. Let k = 15 + -11. What is the remainder when t is divided by 6/k*10 - 2?
12
Let z(f) = 3*f**2 - 11*f - 7. Let b(s) = 2*s**3 - 27*s**2 - 6*s - 39. What is the remainder when b(14) is divided by z(5)?
8
Let o = 1027 - 609. What is the remainder when o is divided by 15?
13
Let v = -16 - -27. Let o(k) = k**3 - 3*k**2 - 10 - k**2 + 14*k**2 + 6*k + 8*k. What is the remainder when v is divided by o(-8)?
5
Calculate the remainder when 177 is divided by (3/(-5) + 6)/(1/10).
15
Calculate the remainder when 800/60*(-6)/(-5) is divided by 7.
2
Suppose 0 = 5*k + u - 13, 3*u - 11 = k - 2*k. Suppose k*g - 5*z = 32, -6*z + 4*z + 46 = 2*g. Let l = 2 + g. What is the remainder when l is divided by 8?
7
Suppose d + 2 = 4*z + 29, 3*d = 4*z + 73. Let g(t) = t**3 + 7*t**2 + 17*t + 29. What is the remainder when d is divided by g(-4)?
5
Let l be ((-2)/(-3))/((-2)/(-48)). Suppose -4 = -4*f + l. Suppose -8 = f*g + 4*n - 105, 3*g - 3*n - 42 = 0. What is the remainder when 31 is divided by g?
14
Let a(d) = -d**2 - 12*d - 14. What is the remainder when 141 is divided by a(-9)?
11
Suppose 0 = -w - q - 3*q + 59, 5*q - 280 = -4*w. Let h(c) = 2*c**2 + 7*c - 26. Let x be h(-10). Calculate the remainder when w is divided by x/2*(4/(-8) + 1).
23
Suppose -5*b - 21 = 4. Let q be b/20 - (-3)/12. What is the remainder when 16 + 4 + q/(-1) is divided by 11?
9
Suppose 0*i - 2*i + 30 = 4*z, -4*i = -3*z - 115. Let w be 140/i + 2/5. Suppose -3*d + 4*d - w = 0. Calculate the remainder when 22 is divided by d.
4
Let q = 247 + -151. What is the remainder when q is divided by (34 - 42/(-7))*(-1)/(-2)?
16
Suppose 0 = -4*d + 158 + 62. Let w = -38 + d. Calculate the remainder when 49 is divided by w.
15
Let q(n) = n**3 - 16*n**2 - 57*n + 15. Let i = 3 - 3. Suppose i = 7*h - 2*h + 5*c - 295, 3*c = 6. Calculate the remainder when h is divided by q(19).
12
Suppose 172 = 51*o - 50*o. What is the remainder when o is divided by 44?
40
Suppose 0 = 3*v - 2*k + 178, 11 = v - 3*k + 68. Let c be -2 - 11/((-33)/v). Calculate the remainder when 29 is divided by (-8)/(-10)*(-165)/c.
5
Let q(p) = 2*p**2 - 5*p - 11. Let u be q(5). Let t = u - -35. Calculate the remainder when t is divided by 13.
10
Suppose -109*q = -105*q + 448. Let c(t) = -13*t**2. Let o be c(2). Let u = o - q. Calculate the remainder when u is divided by 31.
29
Let o = -1373 + 1432. Calculate the remainder when o is divided by 27.
5
Suppose -11 = -b - 7. Suppose q = -5*s - b, q - s = 2*s + 12. Calculate the remainder when 23 is divided by q.
5
Suppose 3*n + 3 = 3*x - 6, -4*x + 3 = 5*n. Let q(v) = 2*v + 3. Let f be q(x). Suppose f*t = 3*t + 36. What is the remainder when 16 is divided by t?
7
Calculate the remainder when 97 is divided by 0 + 42 + 20/((-8)/2).
23
Suppose 20*d = 3*d - 5*d. Suppose w = -2*q - d*q + 8, 0 = -q + 3*w - 3. What is the remainder when q is divided by 2?
1
Suppose 0*y - b = -3*y + 181, -4*y = 2*b - 258. Let f = y + 25. What is the remainder when f is divided by 18?
15
Let u = 247 + -233. What is the remainder when 19 is divided by u?
5
Calculate the remainder when (0 + (-7 - -6))*(-3 - 109) is divided by 12.
4
Let b be 6/33 - 10/55. Suppose b = 7*a - 71 + 15. Calculate the remainder when 30 is divided by a.
6
Suppose -8 = 4*b, 17*b = 5*j + 22*b - 1000. What is the remainder when j is divided by 7?
6
Let v(n) = -n**2 - 3*n + 83. Calculate the remainder when 231 is divided by v(-9).
28
Let q = 79 + -65. Let t = q + -6. Suppose -6*s + s = 3*p - 157, -3*s + 4*p = -71. What is the remainder when s is divided by t?
5
Suppose 141*c + 18 = 145*c - 2*a, -2*c + 21 = -5*a. Calculate the remainder when 9/((4 - 2) + -1) is divided by c.
0
Let j = -64 - -44. What is the remainder when (-122)/(-10) - (-4)/j is divided by 8?
4
Suppose r - 1 