the remainder when s(-4) is divided by 15.
13
Suppose 0 = 15*x - 95 - 100. Let q = 92 - 54. What is the remainder when q is divided by x?
12
Let t = 207 + -182. Let a(n) = -n + 74. Let u(q) = q**2 - 5*q. Let g be u(5). What is the remainder when a(g) is divided by t?
24
Let c = 5 - 33. Let m = c + 94. What is the remainder when m is divided by 23?
20
Let q = 1081 - 697. Suppose -3*n = 5*j + n - 449, -4*j + 3*n = -q. Calculate the remainder when j is divided by 19.
17
Let j(d) = d**3 - d**2 - 2*d + 8. Suppose -17 = -3*p + 4*n - 4, -3*p = 2*n - 7. What is the remainder when j(p) is divided by 15?
5
Let i(r) = r**2 - 7*r - 10. Suppose 338*s - 332*s - 798 = 0. Calculate the remainder when s is divided by i(11).
31
Let f = 13 - -3. Suppose 0 = -5*q - 2*j + 4*j - 115, -j + 70 = -3*q. Let o = 71 + q. Calculate the remainder when o is divided by f.
14
Let q(w) = -w**2 + 23*w + 22. Calculate the remainder when q(16) is divided by 45.
44
Suppose -3*q = -2*n + 24 + 40, 3*n - 81 = -3*q. What is the remainder when 41 is divided by n?
12
Let o = -18 + 23. Suppose -2*l + y = -y - 22, o*y + 7 = l. What is the remainder when 18 is divided by (0 - l/9)*-3?
2
Suppose 9*n = 8*n + 4*f + 103, 5*f - 148 = -n. What is the remainder when n is divided by 25?
23
Let y(i) = i**3 - 2*i**2 - 6. Let j = -34 + 36. What is the remainder when y(3) is divided by j?
1
Let u(w) = -w**3 - 4*w**2 - 4*w - 3. Let o = 14 + -16. Let m be 9/o - (-4)/(-8). What is the remainder when u(m) is divided by 11?
9
Let z(k) = -k - 5. Let c be z(-9). Let a be (-2)/2 + c - 28. Let p = 52 + a. Calculate the remainder when p is divided by 14.
13
Let t(a) = 44*a + 371. Calculate the remainder when 312 is divided by t(-7).
60
Let b be (-4)/3*-13*15. Suppose 0 = -0*h + 5*h - b. Calculate the remainder when h is divided by 14.
10
Let p = 124 - 121. Suppose -13*r - p = -14*r. Suppose 4*i = 5*s - 44, 4*s + 3*i - 41 = 19. What is the remainder when s is divided by r?
0
Suppose 3*c - 13 = -3*g + 2*g, 0 = 4*g + 3*c - 79. Calculate the remainder when 216 is divided by g.
18
Suppose -4*v = -4*p + 16, p = -2*v + 1 + 6. Suppose p*r + 5*f - 20 = 0, r + f = -2*r + 12. Suppose r = k + k. Calculate the remainder when 6 is divided by k.
0
Suppose -14*f = -40 - 44. What is the remainder when 11 is divided by f?
5
Calculate the remainder when (74/(-4))/((-2)/16) is divided by ((-836)/143)/((-36)/234).
34
What is the remainder when 19 is divided by 42/9*2/(20/15)?
5
Let r = 151 - 108. Let a = 67 - r. What is the remainder when 93 is divided by a?
21
Suppose l - 2 - 38 = 0. Suppose 3*p + 1 = 5*d - 6*d, 3 = d - p. Suppose d*k - 229 = -201. What is the remainder when l is divided by k?
12
Suppose -9*i + 16*i = 14. Calculate the remainder when 33 is divided by (-32)/(-48)*i*3.
1
Suppose -152*k + 1706 = 642. What is the remainder when 62 is divided by k?
6
Let q = -450 + 616. Calculate the remainder when q is divided by 61.
44
Suppose -3*l - 2 = 4*f, 4*f - 2 = -l + 2*f. Suppose 10*c - 258 = 4*c. What is the remainder when c is divided by 25 + l*(-2)/(-4)?
21
What is the remainder when (-8)/28 - (4 + (-8622)/42) is divided by 52?
45
Let g = 21 + -13. Let t be 0 - ((g - -3) + 0). Let f = 3 - t. What is the remainder when 27 is divided by f?
13
Suppose -3*m + 1 = -4*p, 2*p = -3*m + 4*p + 11. Let o = -33 - -28. Calculate the remainder when (-112)/(-10) + 1/o is divided by m.
4
Suppose -48 = -o + 5*o. Let s = o + 8. Let h = s + 24. Calculate the remainder when h is divided by 7.
6
What is the remainder when (-7)/(42/(-54)) - -5 is divided by 6?
2
Let x = -19 + 27. Suppose -5*l - x = -38. Calculate the remainder when l is divided by 4.
2
Let z be (-2 - -1)/(2*3/6). Suppose 4*l + 4*v - 22 = -6, 5*v = 3*l + 4. What is the remainder when l is divided by ((-1)/4)/((z/(-4))/(-1))?
0
Suppose 0 = 4*w - 4*z - 32, z + 17 = w - 3*z. What is the remainder when 116 is divided by w/(-35) - 274/(-7)?
38
Suppose -4*b - 266 = -2*c, 129 = 5*b - 5*c + 464. Let n = -34 - b. Suppose -4*k + 8*k - n = 0. What is the remainder when k is divided by 5?
3
Suppose 0 = -5*z + 2239 - 734. What is the remainder when z is divided by 38?
35
Let o(f) = -4*f**2 + 5*f + 20. Let z(u) = -u**2 + u. Let n(s) = o(s) - 5*z(s). What is the remainder when 118 is divided by n(0)?
18
Let l = -378 + 705. What is the remainder when ((-7)/(-21))/(1/l) is divided by 14?
11
Suppose 0 = 31*o - 1417 - 1404. What is the remainder when o is divided by 87?
4
Suppose 28 = i + x, 76*x = 5*i + 79*x - 136. Calculate the remainder when 93 is divided by i.
15
Let u = 290 + -201. Suppose -h - 192 = 2*h. Let y = u + h. What is the remainder when y is divided by 10?
5
Let j = -3 - -11. Let g(d) = -d**3 + 8*d**2 + 2*d - 9. Let o be g(j). Suppose -t + 34 = o. Calculate the remainder when 53 is divided by t.
26
Let i be (45/6)/((-6)/40). What is the remainder when 2/(-8) - (-37)/4 is divided by 10/4*(-120)/i?
3
Let b be -12 + 15/5 - -4. Let w(x) = -x**2 - 5*x + 1. What is the remainder when 8 is divided by w(b)?
0
Let v(f) = -f**3 + 31*f**2 + 41*f + 16. Suppose -4*o = -4*y - 80 - 172, 4*o + 4*y = 236. What is the remainder when v(32) is divided by o?
60
Let k = 49 + -12. Let v(d) = 5*d + 20. Let p be v(6). Suppose -10 = 4*z - p. Calculate the remainder when k is divided by z.
7
Suppose 3*i + 16 = 4, c - 5*i = 30. What is the remainder when 63 is divided by c?
3
Calculate the remainder when 119 is divided by 3/(-15)*4*1705/(-22).
57
Suppose 101*q + 12 = 103*q. What is the remainder when 94 is divided by q?
4
Let j(n) be the third derivative of -n**4/24 + 11*n**3/3 - 4*n**2. What is the remainder when 14 is divided by j(13)?
5
Let j(i) = -i - 8. Let v be j(-10). Suppose 0 = v*o - 3*o - 8. Let n = o - -10. Calculate the remainder when n is divided by 2.
0
Let m(g) = -g**3 - 19*g**2 - 16*g - 10. What is the remainder when m(-19) is divided by 51?
39
Suppose -c + 17 = -7. Suppose -q = -2*p - 71, -4*q + 4*p + 430 = 146. What is the remainder when q is divided by c?
23
What is the remainder when 56 is divided by 1/(16/250) + 6/16?
8
Suppose 5*o + 43 = g, -4*o + 109 = 3*g + o. Let c = -30 + 44. Calculate the remainder when g is divided by c.
10
Suppose 2*s = -5*r + 37, 0 = 4*s + r - 3 - 80. Calculate the remainder when s is divided by ((-2)/8)/(7/(-308)).
10
Suppose 10 = -2*g, -68 = -t + 6*g - g. Let v be (-1)/4 - 250/(-8). Let r = -16 + v. Calculate the remainder when t is divided by r.
13
Let f be ((-108)/10*5/1)/(-1). Suppose -8*h = -f - 18. What is the remainder when (-102)/(-4) - (-2)/4 is divided by h?
8
Let m(f) = 3*f**2 + 1. Let p(x) = -9 - 2*x - 7*x - 7*x + 6. Calculate the remainder when p(-4) is divided by m(-2).
9
Let b(j) = -5*j + 0 + 1 - 1 - 15. Let g be b(7). Let s = g + 109. Calculate the remainder when s is divided by 20.
19
Let j(g) = -2*g**3 - 2*g**2 - 3*g - 9. What is the remainder when 57 is divided by j(-2)?
2
Let s be 18/10 + (-7)/(-35). Let d be 115/35 - s/7. Suppose -d*f + 8*f - 5*b - 25 = 0, -2*f + 2 = 2*b. Calculate the remainder when 3 is divided by f.
0
Suppose -7*u = -4*u + 3. Calculate the remainder when -53*(4 + -2 - 0)*u is divided by 18.
16
Calculate the remainder when (732/36)/(-2*(-3)/18) is divided by 25.
11
Let x(d) = -d**3 + 11*d**2 + d - 4. Let i be x(11). What is the remainder when 34 is divided by (-93)/(-7) - 2/i?
8
Let t = 60 - 38. Suppose 2*l - t = 18. What is the remainder when l is divided by 8?
4
Let d(g) = g**2 - 7*g + 17. Suppose -15 = -2*u - u. Calculate the remainder when 27 is divided by d(u).
6
What is the remainder when 84 is divided by 108/126 + 255/21?
6
Suppose -5*a + 2*u = -9, 4*a + 0*u = 5*u - 3. Suppose 0 = -2*m + 5*n + 2 - 24, -56 = 3*m + 4*n. Let f = -15 - m. What is the remainder when a is divided by f?
0
Let h(s) be the third derivative of s**6/120 + 7*s**5/60 + s**4/8 + s**3/6 + s**2. What is the remainder when 93 is divided by h(-6)?
17
Let l(k) = k**3 - 16*k**2 - 2*k + 34. Let y be l(16). Suppose -2*p = -y*b + 2, 5*b = -p - p + 33. What is the remainder when p is divided by 3?
1
Let t be (-7)/((-7)/(-4)) - -8. Suppose 0 = -t*l - l + 355. Calculate the remainder when l is divided by 19.
14
Calculate the remainder when 39 is divided by 3/(-1 + (-24)/(-20)).
9
Suppose 2*f = -2*x + 40, x + 4*x + 36 = 3*f. Suppose 13*z + 744 = 25*z. What