 Calculate the remainder when n is divided by p.
12
Suppose 2*f + 0*t - 416 = 2*t, -9 = -3*t. Calculate the remainder when f is divided by 24.
19
Suppose f - 6 = -4*x, 0*f + 3*f + 4*x - 18 = 0. Suppose 50 = 4*a + f. Calculate the remainder when a is divided by 6.
5
Let a(s) be the second derivative of s**5/20 - 11*s**4/12 + s**3/2 - 10*s**2 - 6*s. Calculate the remainder when 23 is divided by a(11).
10
Let j = 5 + -2. Suppose 4*w = 8, -j*g = -g - w - 24. Let r = 37 - 0. What is the remainder when r is divided by g?
11
Let y(a) = 54*a**2 + 2*a + 1. Suppose 0 = 4*g + 4*x - 36, 227*g + 8 = 229*g - 3*x. What is the remainder when y(-1) is divided by g?
4
Let s be (-2)/(-10) - (-333)/(-15). Let k(x) = -x - 57. Let z be k(-19). Let j = s - z. Calculate the remainder when 62 is divided by j.
14
Let y(u) = u**2 - 15*u + 69. Calculate the remainder when 204 is divided by y(15).
66
Suppose 9*d = -12*d + 504. What is the remainder when 67 is divided by d?
19
Suppose -3 = -2*p + 13. Suppose -a - 26 = -3*r, -a - 10 = -0*r - r. Calculate the remainder when p is divided by r.
0
Suppose 40779 + 4371 = 25*p. What is the remainder when p is divided by 67?
64
Suppose 2*x = -3*r - 13, x - 2*x + 26 = -5*r. Let m = r + 28. Suppose 2*f - 39 = -f. What is the remainder when m is divided by f?
10
Let r(l) = -11*l. Let u be -1 + 16/(1 - -3). Suppose -9*y = -u*y - 186. Calculate the remainder when y is divided by r(-1).
9
Suppose -93 = -5*b + 87. Suppose -2*q - v + 10 = -13, -67 = -4*q + 5*v. Calculate the remainder when b is divided by q.
10
Let u(f) = -2*f**3 - 5*f**2 - 2*f - 1. Let i(l) = -3*l - l**2 + 3 - 3 + 4*l**3 + 0 + 3. Calculate the remainder when i(2) is divided by u(-3).
11
Suppose 0 = 2*d - 4*f - 258, -7*d + 5*f = -6*d - 144. What is the remainder when d is divided by 24?
23
Let b(i) = 2*i + 79. What is the remainder when b(-22) is divided by 20?
15
What is the remainder when 112 is divided by (-157)/(-9) + 224/(-504)?
10
Suppose 4 = -5*l - 2*m, 5 - 1 = 3*l - 2*m. Suppose l = 2*b + b - 24. Suppose -16*v + 66 = -10*v. What is the remainder when v is divided by b?
3
Let o = 88 - 81. Let m = 29 - o. Calculate the remainder when 103 is divided by m.
15
Let t be 16/12 - 1/(6/(-34)). Suppose 9*o = t*o + 30. Calculate the remainder when 44 is divided by o.
14
Let k(v) = 123*v + 6. Let p be k(2). Let m = p + -164. Suppose 5*s - 62 = -3*w, -s - 6*w = -w - 8. Calculate the remainder when m is divided by s.
10
Let g(j) = 2*j**2 - 7*j + 2. Calculate the remainder when 117 is divided by g(5).
15
Let d = -49 + 53. Suppose -2*y + 16 = -d*t, y - 5*y + 39 = -t. What is the remainder when y is divided by -1*5*8/(-10)?
2
Let y(a) = -a**2 - 8*a + 1. Suppose -90 = -4*r - 5*f, -5*r + 9*f + 135 = 4*f. Calculate the remainder when r is divided by y(-6).
12
Let n = 544 + -221. What is the remainder when n is divided by 33?
26
Calculate the remainder when (56/49)/(2/189) is divided by 35.
3
Suppose 25 = 2*q - 4*t + 5, 0 = 3*q + 4*t. Suppose m = 0, -78 - 45 = -3*k + 5*m. What is the remainder when k is divided by 17 - (-2)/q*-4?
11
Let s = 1 - -1. Let o(l) be the third derivative of -l**4/24 + 8*l**3/3 + 10*l**2. What is the remainder when o(5) is divided by s?
1
Suppose 10*s - 422 + 72 = 0. Calculate the remainder when 130 is divided by s.
25
Suppose -a = s - 5*a - 2, -3*s + 2*a + 16 = 0. Calculate the remainder when 6 is divided by s.
0
Let s(d) = d**3 - 4*d**2 + 2*d - 6. Let i be s(4). Suppose -i*v + 12 = -v. Suppose 0 = 4*g - v - 16. Calculate the remainder when 20 is divided by g.
6
Let m = 1 - 0. Let c = 201 + -199. What is the remainder when 28 is divided by 8/m + 1*c?
8
Suppose 2*x - 186 = -0*x + 2*t, -3*x = t - 279. Calculate the remainder when 354 is divided by x.
75
Calculate the remainder when 249 is divided by 645/18 - (-18)/108.
33
Let r(o) = 2*o + 2. Let h be r(-1). Let f(g) = g + 69. Calculate the remainder when f(h) is divided by 18.
15
Suppose 4*j + d = -5, 2*j - d - 10 = d. Suppose -q + 2*g + 23 = j, 2*q - 57 = -2*q + g. What is the remainder when 20 is divided by q?
7
Let m(p) = 2*p**3 - 4*p**2 - 6*p + 1. Let o = -1160 - -1321. Calculate the remainder when o is divided by m(4).
38
Suppose q - 41 = 110. Let n = q + -119. Calculate the remainder when n is divided by 18.
14
Let n be 16/10 + (-2)/(-5). Suppose g - 181 = -3*g - k, 0 = -5*g + n*k + 223. Let c = 4 - -12. What is the remainder when g is divided by c?
13
Calculate the remainder when 307 is divided by 12320/504 + 1/((-18)/8).
19
Let s(h) = h**2 - 3*h - 1. Let l be s(3). Let g(t) = -15*t. Suppose -o = -3*u + 1 + 8, 0 = -u - o + 7. Calculate the remainder when g(l) is divided by u.
3
Let n = -35 - -45. Let w(k) be the first derivative of k**3/3 + 28*k - 1. What is the remainder when w(0) is divided by n?
8
Let w = 1 + 2. Suppose -5*o - 4*n + 64 = -0*n, 5*n - 5 = 0. What is the remainder when 23 - (w + -3)*1 is divided by o?
11
Suppose 0 = 14*s + 13*s - 945. What is the remainder when 91 is divided by s?
21
Let q = -823 - -1366. Calculate the remainder when q is divided by 39.
36
Calculate the remainder when 1148 is divided by (-49 + -7)*(-6)/21.
12
Suppose 4*r + k - 50 = 0, k - 10 - 16 = -2*r. Let u be ((-24)/(-6))/(6/51). Let h = u - r. What is the remainder when 43 is divided by h?
21
Let n(s) = s**3 + 3*s**2 - 18*s - 3. Let l = 2 + -8. Let i be n(l). Calculate the remainder when i/6 - (-213)/6 is divided by 19.
16
Let n be ((-14)/(-6) - 4)*(8 + -5). Suppose 2 = -3*k - 4*q + 4, -4*q - 22 = -k. Calculate the remainder when 45 is divided by k/(-15)*n*6.
9
Let j(y) = 3*y + 1. Suppose 2*o = -3 + 17. Suppose 2*w - 8 = 0, 3*m - 4*w - o - 1 = 0. Calculate the remainder when j(4) is divided by m.
5
Suppose 2*z - 6*z + 152 = 4*a, -5*a = z - 194. Suppose 0 = -3*m - 0*m - a. Calculate the remainder when 6 is divided by (-144)/(-78) + (-2)/m.
0
Let t(i) be the second derivative of -2*i**3/3 - 7*i**2/2 + 13*i. What is the remainder when 186 is divided by t(-6)?
16
Let a = 33 - 23. Suppose -635 = -a*m + 115. Let u = 25 - 6. Calculate the remainder when m is divided by u.
18
Calculate the remainder when 753 is divided by (-2974)/(-12) + 15/(-270)*-3.
9
Suppose -4*t + 15 + 29 = 4*a, 0 = -2*a + 4*t + 16. Calculate the remainder when 41 is divided by a.
1
Suppose 97 - 103 = -2*h. Suppose 0*f - b + 394 = 3*f, 5*b - 398 = -h*f. What is the remainder when f is divided by 15?
11
Let j(s) = -3*s**2 + 22*s - 3. Suppose 3*g - 21 = -3. Calculate the remainder when g is divided by j(7).
2
Suppose -3*n = -2*n - 9. What is the remainder when 70 is divided by -2*3/n*-36?
22
Let b(w) = -w**2 - 47*w - 21. What is the remainder when 403 is divided by b(-44)?
70
Let y(v) = 1. Let z(t) = -10*t + 17. Let a(n) = -102*y(n) + 6*z(n). Let h be a(-1). Suppose -j = -3*j + h. What is the remainder when j is divided by 16?
14
Let b = -49 + 73. Let z be (-8)/6*3/(-2). Suppose k - 2*m - 40 = -k, -z*m = 2*k - b. What is the remainder when 47 is divided by k?
15
Let u = 662 - 647. Calculate the remainder when 147 is divided by u.
12
Let p be (-3)/(0 + (-6)/(-64)). Suppose 5*b - 21 = 4. What is the remainder when (p/10)/((-2)/b) is divided by 5?
3
Suppose 0 = 2*a + a + 60. Let t = 33 + a. Calculate the remainder when t is divided by 4.
1
Let n = 60 + -5. Let t = -4 + n. What is the remainder when t is divided by 18?
15
Let c be 76 - (4 - (-2 - -5)). Suppose o = 4*o - c. Let q = 43 - o. Calculate the remainder when q is divided by 7.
4
Let w(i) = 72*i + 15. What is the remainder when w(2) is divided by 40?
39
Let u be (0 + -3)*(-26)/39. Suppose -u*o = 2*o - 12. Suppose 39 = 6*m - o*m. What is the remainder when 38 is divided by m?
12
Suppose -115 = -5*o - m, 5*m - 2*m - 37 = -o. What is the remainder when 40 is divided by o?
18
Suppose 0 = -2*g + 2*l + 119 + 77, -492 = -5*g + 3*l. What is the remainder when g is divided by 10?
9
Let x(k) be the first derivative of -k**3/3 + 6*k**2 - 17*k - 2. Calculate the remainder when 58 is divided by x(8).
13
Let p(k) = 167*k - 491. Calculate the remainder when 37 - (0 + 0/1) is divided by p(3).
7
Let l = -39 + 5. Let h = -14 - l. Suppose 3*a - h - 7 = 0. What is the remainder when a is divided by 4?
1
Let o(d) = d**2 + 9*d - 12. Suppose k + 1 = 9. Suppose -3*a = 5*b + a - k, b = -2*a - 2. What is the remainder wh