d by 10.
7
Let u(j) = -2*j - 14. Let x be u(-10). Let q = -46 + 66. Suppose x = -z + q. Calculate the remainder when z is divided by 5.
4
Suppose -11 = -c + 3*w, -w = -5*c + w + 55. Let k be c/3 - (-8)/(-12). Suppose -k = -2*p + 13. Calculate the remainder when 23 is divided by p.
7
Let b(t) = 10*t + 1. Let q be b(1). Suppose -c + q - 2 = 0. Suppose 2*v = -4*i - 2*v + 44, -3*i + 13 = -v. What is the remainder when c is divided by i?
3
Suppose -56 = -4*s + 32. Calculate the remainder when 39 is divided by s.
17
Suppose -3*r - 54 = -12*r. What is the remainder when 20 is divided by r?
2
Suppose 169 = 7*b + 36. What is the remainder when 69 is divided by b?
12
Let z(v) = -v**3 + 8*v**2 + 10*v - 5. Let g be z(9). Suppose -g*j + 31 = -4*a - 1, -5*j - 4*a = -76. What is the remainder when 46 is divided by j?
10
Let p = -55 - -91. Let m = -8 - -17. Suppose -3*w = -p + m. Calculate the remainder when 16 is divided by w.
7
Let j(z) = -z - 4. Let s be j(5). Let l = -3 + 5. Let f = l - s. What is the remainder when 32 is divided by f?
10
Suppose 0*i + 232 = 4*i. What is the remainder when i is divided by 12?
10
Calculate the remainder when 39 is divided by (-2)/3*1*-15.
9
Let k = 18 - -4. Calculate the remainder when 85 is divided by k.
19
Let r = 16 + -11. Suppose 13 = c - 4*a, c - a + r - 18 = 0. Calculate the remainder when c is divided by 5.
3
Let c(r) = -47*r**3 + 2*r**2 - r - 3. Let h(o) = -o**3 - 2*o**2 + 5*o + 4. Calculate the remainder when c(-1) is divided by h(-4).
15
Let w(x) = -x**2 - 7*x + 12. Calculate the remainder when 71 is divided by w(-7).
11
Let s(d) = -d**3 - 14*d**2 - 56*d - 12. Suppose 0 = -v - 4*t - 19 + 61, 103 = 4*v + 3*t. Calculate the remainder when s(-9) is divided by v.
21
Let g be (-96)/(-15) + 2/(-5). Let n(t) = -t**3 + 7*t**2 + 2*t - 5. What is the remainder when n(g) is divided by 15?
13
Let l = -4 + 4. Suppose g + l*s - 16 = 4*s, 2*g - 14 = -s. What is the remainder when g is divided by 5?
3
Suppose -5*b + 6 = -5*v + 56, -3*b + 6 = 0. What is the remainder when 22 is divided by v?
10
Let b(a) = a**3 + 2*a**2 + a + 1. Let t be b(-2). Let h(o) = -3*o - 1. Let m be h(t). Suppose -4*n = -m*n - 36. What is the remainder when n is divided by 7?
4
Let w = 22 - 8. Calculate the remainder when 26 is divided by w.
12
Let p(d) = 2*d + 10. Let y(x) = -1. Let l(v) = -2*p(v) - 10*y(v). What is the remainder when 34 is divided by l(-7)?
16
Suppose 6*s - 350 = s + 5*k, 0 = -k - 4. Let v(d) = d + 7. Let h be v(-6). What is the remainder when s is divided by h/((-1 + 3)/34)?
15
Suppose -f + 3*r + 15 + 4 = 0, 5*f - 155 = -5*r. Calculate the remainder when (1*82)/(1 - 0) is divided by f.
26
Suppose 12*v - 2700 = -0*v. Calculate the remainder when v is divided by 38.
35
Suppose 2*g - 21 = 17. Calculate the remainder when g is divided by 11.
8
Suppose 2*v + 39 = 155. What is the remainder when (1 - 2)*v/(-2) is divided by 10?
9
Let c = 18 - 19. What is the remainder when 31/c*(-1)/1 is divided by 8?
7
Suppose -2*p = -4*t + 8, -3*p + 0*t - t = -9. Calculate the remainder when (3/(-3))/(1/(-5)) is divided by p.
1
Let o = 8 + 6. Let v = 9 - 13. Let n = o + v. What is the remainder when 28 is divided by n?
8
Suppose 7*z - 91 - 91 = 0. Calculate the remainder when 76 is divided by z.
24
Let u = 35 + -8. Let k = u - 16. Suppose -k - 33 = -4*i. What is the remainder when i is divided by 6?
5
Suppose -4 = 4*b + 2*z - 2, 35 = -5*b + 4*z. Suppose -5*w = 3*x - 28, 3*w - 24 = -3*x - 0*w. What is the remainder when x is divided by (-4 - b)/(4/(-16))?
2
Suppose -3*b + 3 = -3*c, 6 = -4*b + 3*c + 15. Calculate the remainder when 10 is divided by b.
4
Suppose -j + 18 = 5*j. Calculate the remainder when 8 is divided by j.
2
Let j(f) = 16*f. Let m(x) = x + 2. Suppose 0 = -2*c + 3*c. Let u be m(c). What is the remainder when j(u) is divided by 11?
10
What is the remainder when 25 is divided by (12/10)/(18/135)?
7
Suppose 9 = -3*u + 66. Calculate the remainder when 49 is divided by u.
11
What is the remainder when (57/4)/(5/(-60)*-3) is divided by 15?
12
Let i(o) = -13*o**3 - o**2. Calculate the remainder when 47 is divided by i(-1).
11
Let f = 174 - 110. Let p = 40 + -27. Calculate the remainder when f is divided by p.
12
Suppose 20 = 4*z - 0*g - g, -4*g = z + 12. Suppose -3*c = -0*k - z*k - 43, 4*c - 44 = 4*k. Let b = k + 29. Calculate the remainder when 56 is divided by b.
18
Suppose 5*a = -f + a - 12, -3*a = f + 8. Suppose 3*w - f = w. Calculate the remainder when 3 is divided by w.
1
Suppose -11 + 77 = 2*l. What is the remainder when l is divided by 7?
5
Suppose -3*v = -6*v. Let w(r) = r + 1. Let c(i) = i - 5. Let k(z) = -c(z) + 2*w(z). What is the remainder when 12 is divided by k(v)?
5
Let z = 7 + -5. What is the remainder when 12/(-32) - 134/(-16) is divided by (z - (0 + -4))/2?
2
Let p = -9 - -18. Let m be (-189)/6 + 2/(-4). What is the remainder when (-3)/((-6)/m)*-1 is divided by p?
7
Suppose 19 = -2*y + 3*o + 129, 4*y = -3*o + 202. Let w = 73 - y. What is the remainder when w is divided by 6?
3
Suppose 0 = o - 8 + 1. Calculate the remainder when (-24 - 2)/(-1*2) is divided by o.
6
Let k(h) = h**2 - 4*h - 12. Calculate the remainder when 12/9 + 101/3 is divided by k(7).
8
Suppose 0 = 3*z + 4*g - 30, -3*z + 6*z - 36 = -2*g. Calculate the remainder when z is divided by 3.
2
Suppose -83 = -o - 3*f, 2*o - 98 = f + 40. What is the remainder when o is divided by 24?
23
Let y = -8 - -11. Suppose -y*v = -5*o - 38 - 12, -4*o + 2*v = 38. Calculate the remainder when 11 is divided by (o - -5)/(1/(-2)).
3
Suppose -34 = -4*c + 22. Suppose 0 = 4*d - 16, -4*o - 2*d = -2*o - 12. What is the remainder when 6/(-21) + 60/c is divided by o?
0
Let q(r) = -r - 10. Let k be q(-7). Suppose -3*s - 49 = -4*w, 0 = 3*w + 2*s - 21 - 20. Let f = k + w. Calculate the remainder when f is divided by 4.
2
Let f(p) = -p**3 - 6*p**2 - 9. Let r be 4/(-1) + 2 + -5. Calculate the remainder when f(r) is divided by 14.
12
Let d = 34 + -21. Let x(b) = b**3 + 6*b**2 - 7*b + 8. Calculate the remainder when d is divided by x(-7).
5
Suppose -5*r + 4*r + 13 = 0. What is the remainder when r is divided by 8?
5
Let a be 1/(-4) - (-65)/4. Suppose 2 = -2*i, -3*i = 2*c - c - a. Suppose 4*m - c = 13. Calculate the remainder when 14 is divided by m.
6
Suppose -s - 11 = -5*d + 2*d, s - 5 = -5*d. Let i(h) = h**3 - 11*h**2 + 11*h - 8. Calculate the remainder when d is divided by i(10).
0
Let r = -3 - -4. Let u be (-28 + r)*(-2)/6. Let n(b) = b**2 - 5*b - 5. Calculate the remainder when n(u) is divided by 11.
9
Suppose s = -5*j + 38, -4*j + 17 = 5*s - 5. Let w = 19 - j. Let m = -44 + 65. Calculate the remainder when m is divided by w.
10
Suppose 24*c - 553 - 167 = 0. What is the remainder when 43 is divided by c?
13
Suppose 0 = 3*f + 9, 3*t + 314 = 7*t + 2*f. Calculate the remainder when t is divided by 27.
26
Suppose -3*k - t - t + 93 = 0, 0 = 3*k + 5*t - 102. What is the remainder when 115 is divided by k?
28
Let q(x) = x**3 + 3*x**2 + 2*x + 1. Let n be q(-2). Suppose 4 - 26 = -2*y. Calculate the remainder when y is divided by (-13)/(-2) - n/2.
5
Let i(a) = -7*a - 12. Let g(p) be the second derivative of -p**4/12 - 5*p**3/3 + 3*p**2/2 + 2*p. Calculate the remainder when i(-5) is divided by g(-9).
11
Suppose -4*p - 2*j = 16, 2*p - 2*j - 1 + 3 = 0. Calculate the remainder when 14 is divided by 5 + p*4/6.
2
Let n = 19 - -4. Let j(b) = 0*b - 2*b - 2*b. What is the remainder when n is divided by j(-2)?
7
Let l(i) = -79*i + 2. Let c be l(-2). Suppose -2*u + c = 3*u. What is the remainder when u is divided by 17?
15
Suppose -g - 5 = 0, -2*g + 4 = 9*k - 8*k. Calculate the remainder when k is divided by 5.
4
Let n = 25 - 11. Let y = -55 - -94. What is the remainder when y is divided by n?
11
Let j = 127 + -62. What is the remainder when j is divided by 6?
5
Suppose g = -3*g - d - 25, d - 38 = 5*g. Let f(x) = x**2 + 3*x - 8. What is the remainder when 37 is divided by f(g)?
17
Let z = -110 - -157. What is the remainder when 280 is divided by z?
45
Let v = 8 - 6. Suppose v + 6 = 2*u. Suppose 128 = -2*c + 6*c + u*w, -2*w = 8. What is the remainder when c is divided by 19?
17
Let c(d) be the second derivative of d**4/12 - 5*d**3/6 - d**2 - d. Suppose m + 2*m - 24 = 0. Calculate the remainder when c(-3) is divided