 = j - -269. What is the remainder when x is divided by 21?
19
Suppose 0 = 4*v - i - 17, -4*v = -3*v + 4*i + 17. Let a(r) = -r**3 + 5*r**2 - 2*r. Let l = 0 + 5. What is the remainder when a(v) is divided by l?
2
Let p(x) = 5*x**2 + 27*x - 5. Calculate the remainder when p(-8) is divided by 20.
19
Suppose 5*c - 52 - 28 = 0. Suppose 0 = 14*l - 6*l - 24. Calculate the remainder when c is divided by l.
1
Let t = -1014 - -1056. What is the remainder when 166 is divided by t?
40
Suppose b - 113 = f + 2*f, -2*f = 4*b - 452. Suppose 0 = 4*q - 3*c - b, q - 4*c + 0*c - 38 = 0. What is the remainder when 74 is divided by q?
22
Let z(k) = -k**2 - 32*k - 18. Calculate the remainder when z(-14) is divided by 50.
34
Let r(c) = 58*c**2 + 4*c - 2. Let d be r(-2). Suppose -3*q = 3*q - d. Calculate the remainder when q is divided by 5.
2
Let q(t) = t**3 + 6*t**2 - 19*t + 18. Calculate the remainder when 123 is divided by q(-8).
39
Let n(r) = -9*r + 477. What is the remainder when n(13) is divided by 91?
87
What is the remainder when ((-81)/36 + 1/4)*-106 is divided by 36?
32
Let j(y) = 14 + 3 + 3*y + 0 + 2. Calculate the remainder when j(6) is divided by 13.
11
Let p = 384 - 360. Calculate the remainder when p is divided by 7.
3
Let q be (0 - -10)*1/2. Suppose -4*f - 4*z - z = -17, q*z = 4*f - 7. Calculate the remainder when ((-224)/48)/(2/(-6)) is divided by f.
2
Suppose 14*g = 13*g + 135. Suppose -g = x - 4*x. Calculate the remainder when x is divided by 24.
21
Let o be ((-174)/(-18))/(1/3). Let x = o - 18. Let p = x - 8. What is the remainder when p is divided by 1?
0
Suppose -5*x + 6*j + 364 = 3*j, -x + 3*j + 80 = 0. What is the remainder when 418 is divided by x?
63
Let w = 47 + -33. Suppose -l = l - w. Let f(d) = -d**3 + 6*d**2 + 7*d + 5. What is the remainder when 19 is divided by f(l)?
4
Let s = 1176 - 983. Calculate the remainder when s is divided by 95.
3
What is the remainder when ((-126)/(-168))/((-6)/(-592)) is divided by 28?
18
Let t be 31/1 - 2/2. Suppose 0*g = 3*g - t. Suppose -190 = -4*r + n, -4*n + 9*n + g = 0. Calculate the remainder when r is divided by 12.
11
Suppose 4*a + 2*h = 296, -9*a + 3*h + 140 = -7*a. Calculate the remainder when a is divided by 25.
23
Suppose -5*i = 0, -i = a + 2*i. Let g = 31 - a. What is the remainder when g is divided by 16?
15
Suppose -1314 = -13*t + 4*t. What is the remainder when t is divided by 40?
26
Let u = 172 + -134. Let h(c) = c**2 - 1. Let j(p) = -9*p**2 - p + 2. Let x(i) = -2*h(i) - j(i). Calculate the remainder when u is divided by x(1).
6
Let z = -23 - 7. What is the remainder when 104/6 + 10/z is divided by 10?
7
Let x = -15 + 103. Let o = 245 + -227. What is the remainder when x is divided by o?
16
Suppose 4*r - 124 = -32. Calculate the remainder when r is divided by (-16)/(-88) - 97/(-11).
5
Let d(j) = -2*j + 25. Let b(z) be the first derivative of 9*z**2 + 3. Calculate the remainder when b(3) is divided by d(3).
16
Suppose -540 = -11*c - 9*c. Calculate the remainder when c is divided by 7/(2/((-4)/(-2))).
6
Suppose 4*y - 5*y + 3*x + 208 = 0, 2*y = x + 421. Calculate the remainder when y is divided by 45.
31
Let s be (34 + 16/4)*2/4. Suppose -21 - s = -5*m. What is the remainder when 15 is divided by m?
7
Let g(q) = q**2 + 8*q + 8. Let a be g(-7). What is the remainder when (-1 - 12)*-3*a is divided by 6?
3
Let h(s) = -5*s**2 + 36*s - 14. Calculate the remainder when h(6) is divided by 13.
9
Suppose 15 + 165 = 5*n. Calculate the remainder when 322 is divided by n.
34
Let i = 97 + 18. Calculate the remainder when i is divided by 60.
55
Suppose 20 = 5*i, 0 = 5*c - 2*i - 2*i - 169. What is the remainder when c is divided by 19?
18
Let s = 40 + -25. Calculate the remainder when s is divided by (2 - 5)/((-3)/7).
1
Let t = 700 - 668. Calculate the remainder when t is divided by 30.
2
Let u = -111 - -158. Suppose 0 = 45*m - u*m + 12. Calculate the remainder when m is divided by 4.
2
Let j(r) = -7*r - 2. Let k be j(6). Let q = -7 - k. Calculate the remainder when q is divided by 20.
17
Let c(q) = -25*q + 1. Let h(n) = 51*n - 2. Let o(w) = 9*c(w) + 4*h(w). Let m be o(-1). Suppose -t + m = t. Calculate the remainder when 18 is divided by t.
7
Let x = 14 - 13. Calculate the remainder when ((-256)/18)/(-8) - 4/(-18) is divided by x.
0
Suppose 5*t = 5*f + 6*t - 56, 2*t = -2*f + 24. What is the remainder when 19 is divided by f?
8
Let z be ((-6)/9)/(16/24). Calculate the remainder when 71 is divided by -25*(z + 0) + -1.
23
Suppose 42*w = -19*w + 18178. What is the remainder when w is divided by 51?
43
Let h(n) = n**2 - 22*n - 72. What is the remainder when h(-8) is divided by 83?
2
Let j(o) = o**3 + 23*o**2 - 77*o + 76. What is the remainder when 146 is divided by j(-26)?
46
Suppose -2*f + 228 = 4*m - 5*f, -5*f = 0. Let s = -1138 + 1153. What is the remainder when m is divided by s?
12
Suppose 52 = -2*j + 168. Let f = j - 39. Calculate the remainder when 150 is divided by f.
17
Suppose -12 = -4*p, -4*o + 2*o - 5*p + 71 = 0. Calculate the remainder when 189 is divided by o.
21
Suppose 0 = -2*d - 0*d. Suppose q + y - 5 = 2*y, 4*q + 3*y - 6 = d. Let x = -27 + 34. Calculate the remainder when x is divided by q.
1
Let j(z) = 2*z**3 + 7*z**2 - 3*z + 9. Let k be j(-4). Suppose -3*u = -2*u - k*q + 2, -3*u + 42 = q. Calculate the remainder when 20 is divided by u.
7
Suppose -3*s - u = -87, -u - 4*u = -2*s + 58. Calculate the remainder when s is divided by 14.
1
Calculate the remainder when 174 is divided by (24 - 23)/(1/33) + -5.
6
Let w(m) be the third derivative of 6*m**2 + 0 + 1/24*m**4 - 1/2*m**3 + 0*m. Calculate the remainder when 21 is divided by w(9).
3
Let n = -891 - -1139. Calculate the remainder when n is divided by 14.
10
Suppose 3*b - 2183 = -9*x + 5*x, 0 = 4*b - 4. Calculate the remainder when x is divided by 14.
13
Let q(y) = 49*y - 1. Let u be q(-2). Let m = 206 + u. What is the remainder when m is divided by 37?
33
Let y(h) = h**2 + 2 + 7 + 6. What is the remainder when y(0) is divided by 18/(-8)*108/(-81) + 1?
3
Let b(i) = 2*i - 9. Let m(g) = -2*g + 10. Let y(z) = -3*b(z) - 2*m(z). Let f be y(5). What is the remainder when 12 is divided by 5 - 6/(-6 - f)?
5
Let n = 534 + -504. What is the remainder when 1078 is divided by n?
28
Let j(m) = 3*m**3 - 8*m**2 - 2*m - 10. Let g(d) = -3*d**3 + 7*d**2 + 2*d + 9. Let v(w) = 5*g(w) + 4*j(w). What is the remainder when v(-3) is divided by 27?
26
Let c(h) = 3*h**3 - 10*h**2 + 21*h - 4. Calculate the remainder when c(3) is divided by 10.
0
Suppose 0 = 4*i + 21 - 33. Suppose 4*w - 4*j = 2*w + 28, 4*j + 38 = i*w. Calculate the remainder when (19/1)/(1 + 0) is divided by w.
9
Let t be (-1)/(-6) + -43*(-4)/(-24). What is the remainder when ((-39)/4)/((84/32)/t) is divided by 8?
2
Suppose -5*f + 4*u + 1679 = 0, -15*f + 10*f + 1687 = -2*u. Calculate the remainder when f is divided by 18.
15
Let q = -13 - -16. Suppose -b + 54 = -q*t - 9, 315 = 5*b - 5*t. Suppose -4*l + 87 = 23. What is the remainder when b is divided by l?
15
Suppose 0 = 138*t - 115*t - 1978. What is the remainder when t is divided by 17?
1
Let f(y) = 32*y**3 + 2*y**2 - 1. Let b be f(-1). Let q = b - -46. Calculate the remainder when q is divided by 120/16 - 2/(-4).
7
Let s be ((-3)/(-1) - 3) + -14. Let h = s - -7. What is the remainder when (-2 - (h - -1)) + 73 is divided by 16?
13
Calculate the remainder when 61 is divided by (-861)/(-18) - (-2)/(5 - -7).
13
Let k(r) = r**3 + 4*r**2 + 2*r + 2. Let h be k(-3). Suppose 0 = z - 4*z. Suppose h*l - 4*l - 5 = z. Calculate the remainder when 13 is divided by l.
3
Suppose 0 = -6*n - 11 + 209. Calculate the remainder when 52 is divided by n.
19
What is the remainder when 1033/15 + (5 - 438/90) is divided by 12?
9
Let g = 259 + -245. Calculate the remainder when 41 is divided by g.
13
Suppose 23*u - 1130 = 802. Calculate the remainder when u is divided by 20.
4
Let b(d) be the third derivative of d**5/30 + d**4/6 - 29*d**3/6 - 22*d**2. What is the remainder when b(-6) is divided by 5?
4
Let o(d) = -d**3 - d**2 + 5*d + 1. Calculate the remainder when o(-5) is divided by 17.
8
Let y = 956 - 939. What is the remainder when 2 - 77/(2 - 3) is divided by y?
11
Suppose -6*y = -10*y + 1832. Suppose 0 = 16*f - 582 - y. Calculate the remainder when f is divided by 24.
1