 5.
4
Let z = 9 + -6. Suppose z*i - 4 - 1 = -4*t, t + 2*i = 5. What is the remainder when 41 is divided by 13 - (t - -2)/(-1)?
13
Let s = 42 + -33. What is the remainder when 15 is divided by s?
6
Let w = 14 - -11. Calculate the remainder when 97 is divided by w.
22
Let x be 3 - (-3)/(-6)*4. Suppose -m + 216 = 3*m. What is the remainder when m is divided by (-56)/16*(x - 5)?
12
Suppose -10 = -w - 4*x, 0 = -3*w - x - x + 10. Let l = -4 - -8. Calculate the remainder when 56 is divided by 1 - (w + l*-5).
18
Suppose 25 = 3*w - 0*x + 2*x, -x - 20 = -5*w. Let r = w - 4. What is the remainder when 3 is divided by r?
0
Let c = -100 + 144. Let q be (2/(-7))/((-2)/14). Suppose 4*i - p - 62 = 0, -8 - 20 = -q*i - p. Calculate the remainder when c is divided by i.
14
Let f(s) = -6*s**2 - s + 1. Let c be f(-2). Let w = 22 - c. Calculate the remainder when w is divided by 22.
21
Calculate the remainder when ((-56)/21)/((-4)/78) is divided by 9.
7
Let c = -21 + 33. What is the remainder when 45 is divided by c?
9
Suppose 5*f + u - 37 = 0, u + 10 = 2*f - 2. Suppose f = x - 10. Calculate the remainder when x is divided by 10.
7
Let l(p) = -9*p - 10. Calculate the remainder when l(-8) is divided by 16.
14
Suppose 2*y + 2*y = 3*r - 6, -4*r - 3*y = -8. Suppose -4*o = -r*o - 34. Calculate the remainder when o is divided by 10.
7
Let s be ((-48)/(-40))/((-2)/60). Let u = -25 - s. Calculate the remainder when 21 is divided by u.
10
Suppose 2*u = 2, -j = 2*j + u - 100. Calculate the remainder when 94 is divided by j.
28
Suppose -15 = 5*u - 35. Suppose -4 = -4*g + u. What is the remainder when g is divided by 1?
0
Suppose -2*q = q. Suppose k - 2*k + 14 = q. What is the remainder when 25 is divided by k?
11
Let t(z) = z + 39. What is the remainder when 62 is divided by t(-17)?
18
Let b(o) = -o. Suppose -6 = 3*j - 0. Let p be b(j). Suppose -4*u - n - p*n + 99 = 0, -2*n = -3*u + 70. What is the remainder when u is divided by 13?
11
Let p(z) = -3*z - 10. What is the remainder when 19 is divided by p(-5)?
4
Let g = 75 - 72. Calculate the remainder when 37 is divided by g.
1
Suppose f + 20 = 5*h - 0*f, h + 3*f - 20 = 0. Suppose -y - y + h*s + 62 = 0, -3*y + 139 = 4*s. What is the remainder when y is divided by 21?
20
Suppose 17 + 52 = 3*i. Suppose 5*y + l - 63 = 0, 2*y + 4*l - i - 13 = 0. Calculate the remainder when 22 is divided by y.
10
Let a(m) = -24*m + 1. Suppose 3*l + 2*h = 300, 0*l + 3*l - h - 291 = 0. Calculate the remainder when l is divided by a(-1).
23
Let r(c) = -2*c + 10. Calculate the remainder when 19 is divided by r(0).
9
Let l(u) = -1 + 0 + 5*u + 0. Let k be l(1). Suppose 3*r = 5*n - 99, -2*r + 4*r - k = 0. Calculate the remainder when n is divided by 11.
10
Suppose q - 4 = -3*j + 65, 0 = 3*j - 5*q - 69. What is the remainder when 89 is divided by j?
20
Suppose -7*z = 9*z - 128. Calculate the remainder when 36 is divided by z.
4
Let m(a) = 2*a. Let f be m(1). Let l = 4 - f. What is the remainder when l is divided by 1?
0
Suppose a - 34 = 4*g + 26, -3*g = 4*a - 183. What is the remainder when a is divided by 26?
22
Let i(q) = 4*q + 4. What is the remainder when 79 is divided by i(3)?
15
Suppose -5*z + 3*z = -24. Calculate the remainder when 4/3 - 411/(-9) is divided by z.
11
Suppose -152 = -2*g + w, 369 = 3*g + 2*g + 3*w. What is the remainder when g is divided by 19?
18
Let p = -4 - 1. Let y = -1 - p. Suppose y*k + 8 = 5*k. What is the remainder when 14 is divided by k?
6
Suppose 0 = -4*x + 50 + 14. Let m(t) = -t**3 + 8*t**2 - 10*t + 6. Let h be m(7). Let c = 21 + h. Calculate the remainder when x is divided by c.
4
Suppose -119 = -3*u + 16. Calculate the remainder when u is divided by 16.
13
Suppose 0 = u - 0*u - 3. Let v = -2 - -3. What is the remainder when 0 - 4*(-3 + v) is divided by u?
2
Let c = 7 - 5. Let n = 11 + -9. What is the remainder when n/(-10) + (-21)/(-5) is divided by c?
0
Suppose -3*y = -u - y + 38, 0 = 5*u + 3*y - 190. Let o(t) = -4*t - 2. Let q be o(-6). Let c = q + -9. Calculate the remainder when u is divided by c.
12
Let n = 361 + -252. Calculate the remainder when n is divided by 28.
25
Let v(y) = y**3 + 7*y**2 - y - 7. Let k be v(-7). Let u = -4 - 0. Let c = k - u. What is the remainder when 11 is divided by c?
3
Suppose l + 0*k = 3*k + 28, -4*l - 2*k + 112 = 0. Let u = -36 - -46. What is the remainder when l is divided by u?
8
Let s = 73 + 13. Suppose 2*l - s = -20. Let j(y) = -y**3 - 13*y**2 + 47*y - 7. Calculate the remainder when l is divided by j(-16).
6
Let g(s) = -s**2 + 10*s + 4. Suppose 2*h - 20 = -q - q, -4*q + 36 = 2*h. Calculate the remainder when 39 is divided by g(q).
19
Let w be (-2)/3 + (-17)/(-3). Suppose 2*b - 53 = -w*c, 5*b - 173 = c - 0*c. What is the remainder when b is divided by 12?
10
Let f = 13 + -9. Let v(n) = n**3 - n**2 + 3. Let y be v(0). Suppose 1 = d, 2*j + y*j = f*d + 41. Calculate the remainder when 25 is divided by j.
7
Let d be 6/24 + (-430)/(-8). Suppose 234 = -4*g + d. Let z = 86 + g. What is the remainder when z is divided by 11?
8
Let m = 79 - 24. Let o = 46 + -27. What is the remainder when m is divided by o?
17
Suppose 9 = -5*s + 2*s. Let r be s/(-2)*(119 - 1). Suppose -r = -4*b + 7. What is the remainder when b is divided by 16?
14
Let v = 7 + -2. Let g = 2 + 3. Suppose a = g + 9. Calculate the remainder when a is divided by v.
4
Suppose -83 = -5*v - 2*p, -4*v + p = -4*p - 73. Calculate the remainder when 99 is divided by v.
14
Let u be 6/(-3)*3/2. Calculate the remainder when (2 + u)/(2/(-90)) is divided by 12.
9
Let x(k) = -7*k - 4. What is the remainder when x(-6) is divided by 13?
12
Calculate the remainder when (1/2)/(7/2352) is divided by 34.
32
Suppose s = -0*s + 2*t + 18, -2*s + 5*t + 39 = 0. Calculate the remainder when s is divided by 2.
0
Suppose -9*b + 282 = -3*b. Calculate the remainder when b is divided by 7.
5
What is the remainder when 56 is divided by (1/(-3))/((-4)/240)?
16
Let p = 2 - 2. Let i(g) = g + 21. What is the remainder when 41 is divided by i(p)?
20
Let o(h) = -h**2 - 4*h + 12. Calculate the remainder when o(-5) is divided by 5.
2
Let u(y) = 12*y + 9. What is the remainder when u(4) is divided by 20?
17
Calculate the remainder when 32 is divided by (-19 - -2)*(8/4)/(-2).
15
Let n = 35 - 28. Calculate the remainder when 18 is divided by n.
4
Suppose -3*b + 6*b = 6. Suppose p - 9 = 4*p. Calculate the remainder when ((-1)/b)/(p/300) is divided by 17.
16
Let n = -14 + 51. Calculate the remainder when n is divided by 13.
11
Suppose 37 = 4*y - 4*u + 13, -2*u = -y + 9. Let l = y - 3. Suppose 2*t + 3*p + 13 = l, -2*p = 3*t - 0*p + 7. Calculate the remainder when 2 is divided by t.
0
Let c(t) be the first derivative of t**4/4 - 2*t**3 + 3*t**2 + 7*t - 3. What is the remainder when 21 is divided by c(5)?
9
Let a = 28 - 5. Let c(y) = -y**2 - 3*y + 12. What is the remainder when a is divided by c(-3)?
11
Suppose 2*m = 8*m - 126. Calculate the remainder when 123 is divided by m.
18
Suppose j = 3*u - 18, -2*j + 4 = -4*u + 26. Let n(w) = 30*w**2 - 4*w + 1. What is the remainder when n(1) is divided by u?
6
Let d(t) = -2*t - 5. Let r(y) = 6*y + 15. Let u(x) = 17*d(x) + 6*r(x). What is the remainder when 44 is divided by u(9)?
21
Let y(q) = -8*q + 1. Let b be y(1). Let l be (2 - (-1 - b))/(-1). Suppose -l*i - 3 + 11 = 0. What is the remainder when 3 is divided by i?
1
Suppose -2*a - 2*z = -22, -3*z = -5*a + 37 + 10. What is the remainder when a is divided by 4?
2
Let f = -6 - -19. Let w = 9 + -5. What is the remainder when f is divided by -3*w/(-12) - -3?
1
Suppose -3*s - 22 = 2*k, -k - 29 = s + 4*k. Calculate the remainder when 5 + s - (-1 - -1) is divided by 1.
0
Let v(x) = 13*x - 3. Let m be v(-3). Let c = 59 + m. What is the remainder when 32 is divided by c?
15
Let x = 47 - 37. What is the remainder when x is divided by 7?
3
Calculate the remainder when 10/25 - (-243)/5 is divided by 17.
15
Suppose -70 = -4*v + 18. What is the remainder when v is divided by 8?
6
What is the remainder when 18 is divided by (-2)/17 - (-106)/34?
0
Let k(a) = -2*a + 5. Let p(c) = 2*c + 19. Let o be p(-14). What is the remainder when 66 is divided by k(o)?
20
Suppose -83*a + 82*a = -1. Let j(z) = 2*z - 3. Let l be j(3). Suppose -3*d + 11 = 2*m - 0, -d = l*m - 6. What is the remainder when m 