, y + 3 = -3*c + 4*y. What is the remainder when 9 is divided by c?
0
Let q = -25 + 27. Suppose 1 = q*j - 69. What is the remainder when j is divided by 12?
11
Let t = -705 + 728. Let r = 81 + -14. Calculate the remainder when r is divided by t.
21
Let q(c) = -c**2 + 25*c + 154. What is the remainder when q(29) is divided by 10?
8
What is the remainder when (1/4)/(2/504) is divided by 6?
3
Let o be -1*(-4 + 2)/(-2). Calculate the remainder when 21 is divided by (14/(-42))/(o/36).
9
Suppose -4*x - 1 + 33 = 0. Suppose -3*p - 105 = -q, -x*q = -3*q - p - 567. Calculate the remainder when q is divided by 29.
27
Let j(h) = -4*h - 1 + h**3 + 161*h**2 - 32 - 143*h**2. What is the remainder when j(-18) is divided by 15?
9
Let s be 7 + -52 - (-2 - 1). Suppose -11 - 19 = -2*y. What is the remainder when s/(-10) + 17/(-85) - -25 is divided by y?
14
Let s be (-14)/4*(-4 + 6). Suppose 2*n - 26 = 4*p, 0 = 2*p - 0*p. Calculate the remainder when (-6)/(-21) + (-348)/s is divided by n.
11
Suppose 2*f - 4 = 0, 5*f = -w - 0*f + 5. Let p(r) = 4*r**2 + 15*r - 4. Calculate the remainder when 164 is divided by p(w).
17
Suppose 433 + 3547 = 20*l. What is the remainder when l is divided by 51?
46
Let h(i) = 3*i**2 - 29*i - 11. Calculate the remainder when h(-7) is divided by 69.
63
Let w be (0 + -7)/(-1*(1 - 0)). Suppose -w*g + 5*g + 286 = 0. Calculate the remainder when g is divided by 29.
27
Let p(k) = k**3 - 3*k - 6 - 2*k + 3*k**2 - 2*k. Let w be p(-4). Let g(r) = r**2 - 4*r - 1. Calculate the remainder when g(w) is divided by 4.
3
Suppose 11*w + 10 = 6*w, 443 = t - 4*w. Calculate the remainder when t is divided by 19.
17
Let v = 1461 + -827. What is the remainder when v is divided by 49?
46
Let t(k) = k**3 - 4*k**2 - 3*k. Let h be t(5). Let f = h + -8. Suppose 5*c + n = 25, 0 = c + 3*n - f*n - 5. What is the remainder when 9 is divided by c?
4
Let d(n) be the third derivative of n**4/4 + 2*n**3/3 + 4*n**2. Calculate the remainder when d(6) is divided by 7.
5
Suppose -j = -3*g + 4*g - 37, -4*j = -5*g - 193. Calculate the remainder when j is divided by (209/57)/(-1*(-2)/12).
20
Calculate the remainder when 62 is divided by 38/(-4)*((-6)/2 + 1).
5
Let h = 8 + -6. Suppose h - 7 = 5*p. Let v(k) = -13*k + 2. What is the remainder when 29 is divided by v(p)?
14
Let b(f) = 2*f**2 - 158*f + 169. What is the remainder when 2/(-2)*-2 + 19 is divided by b(78)?
8
Suppose 3*a - 103 = 128. Calculate the remainder when a is divided by 36.
5
Let y = -284 - -304. Calculate the remainder when 57 is divided by y.
17
Let s(y) be the third derivative of y**5/60 + y**4/6 - y**3/3 - 6*y**2. What is the remainder when -2 - -9 - (-2 + 2) is divided by s(-5)?
1
Suppose 0 = t + 66 - 126. What is the remainder when t is divided by 26?
8
Suppose 0*d - 136 = -4*d. Calculate the remainder when 65 is divided by d.
31
Suppose -2*x - 3*g + 23 = -29, -3*g = 3*x - 78. Calculate the remainder when 65 is divided by x.
13
Let g(v) = v**2 + v + 4. Suppose -3*w + 87 - 15 = 0. Suppose n = -3*a + 3*n + w, 4*n + 28 = 4*a. What is the remainder when a is divided by g(0)?
2
Let m(y) = y + 3. Suppose 4*p = 2*b + 3*p + 53, 4*p + 74 = -3*b. Let a = b + 45. Calculate the remainder when a is divided by m(4).
5
Let p = -253 + 509. Calculate the remainder when p is divided by 26.
22
Let g be (9/6 + -1)*6. Let b(p) = p - 2*p + g*p. Calculate the remainder when 8 is divided by b(3).
2
Suppose 0 = 12*p - p - 341. Let d = -49 - -110. What is the remainder when d is divided by p?
30
Let s(d) = 8*d - d**2 - d**3 + 1 - 6 - 8*d**2 + 2. Calculate the remainder when s(-10) is divided by 9.
8
Let b(z) = -2*z**2 - 12*z - 8. Let f be b(-6). Let l = 16 + f. What is the remainder when 30 is divided by l?
6
Let s = 1898 - 1128. What is the remainder when (-4)/(-14) + (s/49 - 1) is divided by 5?
0
Let l(f) = -f**3 + 3*f**2 - 1. Let h be l(2). Suppose -m = 3*j - 4*m - 54, 0 = 5*j + h*m - 122. What is the remainder when j is divided by 6?
4
Calculate the remainder when 314 is divided by (-1 - (-130)/4)*2.
62
Let q = 98 - 74. Calculate the remainder when 87 is divided by q.
15
Suppose 5*d - 4*z + 26 = 7, -3*d - 33 = 3*z. Let n be 4/(-14) - 2067/d. Suppose -t = 4*t - n. Calculate the remainder when t is divided by 12.
11
Suppose -3*n - 5 = 7. Let y be 6/n + (-5)/2. What is the remainder when 3 + 124/(-8)*y is divided by 22?
21
Suppose 2*a = 7*a + 25, -5*k = -2*a - 16110. Calculate the remainder when k is divided by 18.
16
What is the remainder when 47 is divided by -3 - 145/(-50) - 122/(-20)?
5
Suppose -2*b = -0*n - 5*n - 110, 115 = 3*b + 5*n. Calculate the remainder when 537 is divided by b.
42
Let l(j) = 3*j**2 + 22*j + 30. Calculate the remainder when 80 is divided by l(-8).
34
Let q = -391 + 629. Let s = -158 + q. Let t(r) = -r**3 + 17*r**2 + 2*r - 6. Calculate the remainder when s is divided by t(17).
24
Suppose -m - c = 3, 11 = -5*m - 11*c + 10*c. What is the remainder when 13 + 247 + 3 + m + -2 is divided by 13?
12
Suppose 0 = -4*x + 3*t + 36 - 8, -3*x + 5*t + 21 = 0. What is the remainder when x/(-2)*(-160)/56 is divided by (-25)/(-9) + 2/9?
1
Let q(p) = -p**3 + p**2 + 2*p + 7. Calculate the remainder when 221 is divided by q(-3).
36
Let s = 612 - 607. What is the remainder when 44 is divided by s?
4
Let a = -17 + 19. Calculate the remainder when 8 is divided by (-8)/a - (-1 - 8).
3
Suppose -7 + 2 = -g. Suppose -i + g = -5. Let f = 69 - 31. Calculate the remainder when f is divided by i.
8
Suppose 7*z - 6*z = 4*g - 91, z - 5 = 0. What is the remainder when g is divided by 12?
0
Let b(a) = -a**3 - 15*a**2 - 14*a + 3. Let u be b(-14). Suppose 0 = -0*p + u*p - 36. Calculate the remainder when 33 is divided by p.
9
Suppose 4*f = 3*p + 1367, -9*f + 8*f - 4*p = -318. What is the remainder when f is divided by 20?
18
Let s = 35 + -8. Let k = s - 8. What is the remainder when 56 is divided by k?
18
Suppose -n - 6 = -5*z - 2, 3*n - 5*z = 38. Let a(d) = -d**3 + 4*d**2. Let t be a(-3). Let u = t + -22. Calculate the remainder when u is divided by n.
20
Suppose -8 = -q + 7. Suppose -5 + q = 2*h. Suppose -25 = -2*l - 5*m + 20, -3*l = h*m - 55. What is the remainder when 29 is divided by l?
9
Suppose 0*v + 6*v - 7*v = 0. What is the remainder when 138 + 5/20*v is divided by 35?
33
Let u(s) = -38*s - 12. Let b be u(-5). Suppose 3*c = b - 31. Suppose -a + 12 + 13 = 0. What is the remainder when c is divided by a?
24
Let x(w) = -14*w**2 - 9*w + 83. Let f(n) = 5*n**2 + 3*n - 28. Let q(m) = -11*f(m) - 4*x(m). Calculate the remainder when 125 is divided by q(-8).
13
Let u(k) = 3*k + 16. What is the remainder when 103 is divided by u(4)?
19
Suppose -12*v = -0*v - 684. What is the remainder when 226 is divided by v?
55
Suppose 0 = -z, x + 3*z - 150 = -x. Suppose 4*d = 2*h + 110 + 12, 5*h - 85 = -3*d. Let i = 49 - d. What is the remainder when x is divided by i?
18
Let a(m) = 2*m - 7*m**2 - 1 + 6*m**2 + 2 - m**3. Let i be a(2). Let l = -5 - i. What is the remainder when 2 is divided by l?
0
Let r be 33/6 + (-6)/(-4). Suppose r*p = 4*p + 33. Calculate the remainder when 37 is divided by p.
4
Let p(y) = 16*y. Let j be p(2). Suppose j = t + h, 4*h + 48 = 2*t - 16. Suppose -18 - t = -u. Calculate the remainder when u is divided by 26.
24
What is the remainder when (-85 - 8)*(-1)/3 is divided by 5?
1
Suppose 2*g + 2*g = 336. Let o = -48 + g. What is the remainder when 107 is divided by o?
35
Let o(k) = -53*k - 521. Calculate the remainder when 2*46/8*2 is divided by o(-10).
5
Let p(x) = 18*x - 100. Calculate the remainder when p(13) is divided by 34.
32
Let t be 30*(4 - 80/25). Suppose z = -5*z + t. Calculate the remainder when (-15)/10*40/(-6) is divided by z.
2
Suppose 4*d - 732 = -o, -4*d + 964 - 252 = -4*o. Calculate the remainder when d is divided by 75.
32
Let o(s) = 4*s - 19. Let t be o(5). Suppose 130 = 4*c + c. Let p = t + c. What is the remainder when 78 is divided by p?
24
Let w = -111 - -160. Suppose 6*i + 2*r - 191 = i, -w = -i + 5*r. Calculate the remainder when i is divided by 11.
6
Let u(l) = 3*l + 9. Suppose -4*t + 126 = 4*r - 2*r, r + 175 = 5*t. Calculate the remainder when t is divided by u(0).
7
Let g(d) = 4*d**2 - 18*d + 22. Let q(f) = -7*f**2 + 36*f - 43. Let o(u) = 5*g(u) + 3*q(u). Let v be o(17). What is the remainder when 3 is d