ate the remainder when p(2) is divided by s.
12
Let f(s) = s**3 - 10*s**2 + 12*s + 8. Let v = -2 - -20. Suppose -6*k + v = -4*k. Calculate the remainder when f(k) is divided by 12.
11
Let u = 2 - 0. Let j(i) = 11*i + i**3 - 19*i + 7 - 9*i**2 + i**u. What is the remainder when 30 is divided by j(9)?
14
Let u = -9 + 71. Let a = -35 + 75. Let s = -24 + a. What is the remainder when u is divided by s?
14
Let y = 27 - -21. Calculate the remainder when y is divided by ((-50)/6)/((-1)/3).
23
Let u = -10 + 11. What is the remainder when -55*(0 + -1)*u is divided by 19?
17
Calculate the remainder when 58 is divided by (15/2)/(6/(-4) + 2).
13
Suppose 0 = -2*f + 6*f - 64. Let a(n) = -6*n + 5. Calculate the remainder when a(-7) is divided by f.
15
Let u be (-8)/36 - 2702/(-9). Suppose 0 = -2*d - d + 4*h + 206, -u = -5*d - 2*h. Let x = d + -29. Calculate the remainder when x is divided by 12.
9
Let b(v) = v + 21. What is the remainder when 23 is divided by b(-9)?
11
Suppose 2*k + t - 256 = -0*t, 2*k + 2*t - 258 = 0. Calculate the remainder when k is divided by 26.
23
Let y(n) = -n + 4. Let k be y(0). Suppose 27 = 5*z - q - 20, z = 2*q + k. Suppose -w + 0*w - 23 = -3*p, -5*w = 25. What is the remainder when z is divided by p?
4
Suppose 0 = -5*i - g + 267, 0*g = -2*i - 5*g + 93. What is the remainder when i is divided by 14?
12
Suppose 3*r = 8*r - 115. What is the remainder when 91 is divided by r?
22
Let f = 41 - 21. Let y = 724 + -645. What is the remainder when y is divided by f?
19
Let a(s) = s**2 - 7*s - 8. What is the remainder when a(10) is divided by 12?
10
Let c = 29 - 15. Let q = 45 - 19. Calculate the remainder when q is divided by c.
12
Suppose -3*v + h + 187 = 36, -3*v + 145 = 5*h. Calculate the remainder when v is divided by 17.
16
Let z = 113 - 74. Calculate the remainder when z is divided by 20.
19
Suppose -2*z + 7*z - 110 = 0. Calculate the remainder when 43 is divided by z.
21
Let f = 4 - -24. Suppose 0 = -h - 2*t + 13, -24 = -5*h + 3*t + f. What is the remainder when 42 is divided by h?
9
Let y be (-6)/(-15) - 46/(-10). Suppose -4*f + 17 = -j - 2*j, j - 45 = -y*f. What is the remainder when f is divided by 6?
2
Suppose -4*j + 2*n = -5*j + 134, 4*j - 3*n - 591 = 0. Calculate the remainder when 3 - 1/((-2)/j) is divided by 19.
18
Suppose -3*g + 5*r + 6 = -14, -r + 5 = 0. What is the remainder when g is divided by 4?
3
Suppose 2*j + 4 = 0, 3*j + 69 = 5*n - 177. Calculate the remainder when n is divided by 17.
14
Suppose -5*h - 14 + 494 = 0. Suppose -4*f = -v - 3*f + 36, -2*v - 4*f + h = 0. What is the remainder when v is divided by 14?
12
Suppose 2*o - 5*b = 7, o + 2*b - 6 = -7. Let f(j) = j - 1. What is the remainder when f(3) is divided by o?
0
Let q = 8 + -4. Suppose -o = 2*x - 20 - 6, -o + 52 = 4*x. What is the remainder when x is divided by q?
1
Let j = 26 - 8. What is the remainder when j is divided by 5?
3
Suppose 2 = -4*f + 38. Calculate the remainder when 26 is divided by f.
8
Let s(p) = -p**3 + 4*p**2 - 2*p + 4. Let o = -4 - -7. Calculate the remainder when s(o) is divided by 3.
1
Let k be 4/(-12) + (-7)/(-3). Suppose -3*v + 18 = -k*v - 5*r, 5*r + 9 = -2*v. Suppose -a - 2*a + 12 = 0. What is the remainder when a is divided by v?
1
Let n(o) = 2 + o**3 - 3 + 7 - 9*o**2. Calculate the remainder when n(9) is divided by 4.
2
Let g(c) be the third derivative of -5*c**4/8 - 5*c**3/6 + 5*c**2. What is the remainder when g(-3) is divided by 14?
12
Let h(t) be the first derivative of -t**4/4 + 2*t**3 + 4*t**2 + 5*t + 1. Suppose -i - 70 = -3*i. Calculate the remainder when i is divided by h(7).
11
Let a = 8 + -3. Suppose 4*p - 22 = -a*x, -7*p + 20 = -3*p + 4*x. Calculate the remainder when 7 is divided by p.
1
Suppose 3*j = 2*j + 7. Suppose -5*n = 2*t - 143, -j*n + 3*t + 123 = -2*n. Suppose -a + 7 = -7. Calculate the remainder when n is divided by a.
13
Suppose 0 = -3*v - 8 + 38. Suppose o = -5*q + 19, -2*q - 76 = 2*o - 6*o. Calculate the remainder when o is divided by v.
9
Let o = 40 - 25. What is the remainder when 59 is divided by o?
14
Let l(a) = a**2 + 1. Let r be l(-10). Suppose r = 7*j + 17. Calculate the remainder when 47 is divided by j.
11
Let x = 4 - 2. Suppose -v - 2*w = 9 + 25, -3*v = -5*w + 47. Calculate the remainder when 5 is divided by -1 + (v/x)/(-3).
2
Let c(w) be the second derivative of -3*w**3/2 - 4*w. Calculate the remainder when 17 is divided by c(-1).
8
Let u(z) = 2*z - 8. Let k be u(14). Suppose -h = 2*l - 5*h - 138, -5*h + k = 0. Calculate the remainder when l is divided by 20.
17
Let a(f) = 8*f**2 - 2*f + 1. Let w be a(1). Suppose 2*t = -3 + 9. Let j = t + w. What is the remainder when 29 is divided by j?
9
Suppose 2*h - 4*h = -84. Let u(g) = 2*g - 3. Let t be u(-3). Let p = 2 - t. Calculate the remainder when h is divided by p.
9
Let r(q) = -3*q + 7. Calculate the remainder when r(-6) is divided by 7.
4
Let p = -87 + 99. Calculate the remainder when 55 is divided by p.
7
Suppose -3*q + 8*q = 20. What is the remainder when 27 is divided by q?
3
Let a = 18 + -12. Suppose 2*q - 20 = -x, 3*q - a*x + x = 30. Calculate the remainder when q is divided by 3.
1
Suppose -2*u + 4*u + 12 = -4*x, 5 = -x. Suppose 3 = -3*y - 4*w, 6*w - w = -u*y - 3. Calculate the remainder when 9 is divided by y.
0
Let k = -12 - -18. Calculate the remainder when 9 is divided by k.
3
Suppose -22 = -a + 19. Suppose a = 3*d - 5*v, 4*d - v = -16 + 48. Calculate the remainder when 20 is divided by d.
6
Let a be 45/1*(0 + 1). Suppose 9*p = 4*p + a. Suppose 2*l - 19 = 15. What is the remainder when l is divided by p?
8
Let s(u) = 2*u - 6. Let t be s(5). Suppose t*z = -i + 51, 18 = 3*z + 4*i - 30. What is the remainder when z is divided by 5 + (-2 - (0 + -4))?
5
Let g be 1 + -2 - (-138)/(-3). Calculate the remainder when (-2 + (-2 - g))*1 is divided by ((-30)/4)/(1/(-2)).
13
Suppose -3*n = 3*n - 84. Let m = 99 - 58. Calculate the remainder when m is divided by n.
13
Suppose 9*d + 15 - 87 = 0. Calculate the remainder when d is divided by 5.
3
Calculate the remainder when 95 is divided by (1/3 + 1)*24.
31
Suppose -3*p + 4*s + 246 = 0, 2*p + 4*s - 3*s - 153 = 0. What is the remainder when p is divided by 16?
14
Let z(n) = n**3 - 8*n**2 + 6*n - 4. Let s be z(8). Suppose -k - 3*i + 68 = 4*k, 4*k + 5*i - s = 0. Calculate the remainder when 30 is divided by k.
14
Let p be (-1)/2 - 10/(-4). Suppose -5*a = 0, 5*b - p*a = -5*a + 70. Calculate the remainder when 26 is divided by b.
12
Let v = -113 - -238. Suppose 4*o + 4 = 0, 6*b + v = 2*b - o. Let n = -11 - b. What is the remainder when n is divided by 7?
6
Let y(g) = -g**3 - 6*g**2 - 3*g. Let u(n) = -n**2 - 6*n - 6. Let z be u(-6). Let m be y(z). Let h = m - 7. What is the remainder when 31 is divided by h?
9
Let n be ((-24)/(-36))/(2/15). Suppose 4*r - 5*v + 78 = n*r, 108 = 2*r - 2*v. Calculate the remainder when r is divided by 20.
18
Suppose 0 = 4*h - 12. Suppose 4*z + 4*l = 8, 0 = -4*z - 3*l + 3 + h. Suppose z = -f - f + 14. What is the remainder when 20 is divided by f?
6
Let v(r) = -r**2 - 9*r + 7. Calculate the remainder when 28 is divided by v(-8).
13
Suppose 3*a = 5*a - 36. Let d(y) = -y**2 - 12*y + 18. What is the remainder when d(-7) is divided by a?
17
Let q be 2/(-2)*(2 - -3). Let l(r) = -r - 4. Let m(o) = o**3 + o**2 - 3*o - 1. What is the remainder when l(q) is divided by m(-2)?
0
Let p = 46 - 15. Suppose -2*n - n = -5*b + 86, 0 = 5*b - 2*n - 84. What is the remainder when p is divided by b?
15
Let w(d) = d + 1. Let k be w(-6). What is the remainder when k*8*(3 - 4) is divided by 21?
19
Let s = 0 - -4. Suppose -s*c - 48 = 2*m + 2*m, -5*c - 28 = -3*m. Let p(k) = -3*k - 3. Calculate the remainder when 40 is divided by p(c).
19
Let b(n) = -n**3 + 5*n**2 - 2*n - 3. Calculate the remainder when 18 is divided by b(4).
3
Suppose 56 = 11*a - 9*a. What is the remainder when 80 is divided by a?
24
Let j = 17 - 3. Suppose 2*f = 5*i + 29, 4*i - j = 6. Calculate the remainder when f is divided by 14.
13
Suppose -4*q = 3*o - 118, 5*q + 2*o - 146 = -o. What is the remainder when q is divided by 10?
8
Let c = -81 - -99. What is the remainder when 105 is divided by c?
15
Let j be (-9)/(-6)*(-4)/3. Calculate the remainder when 22 is divided by 6*(-2 + 3) - j.
6
Suppose -2 = -u - 5*s + 1, -2*s + 38 = 2*u. Let h(