the remainder when s(m) is divided by 17.
16
Suppose -32 = -4*q + 32. What is the remainder when 79 is divided by q?
15
Suppose -w = 4*w - 5. Suppose w = -n - 2*x, 2*n = -x + 2*x + 18. Calculate the remainder when 12 is divided by n.
5
Let j(w) = 2*w + 1. Let c be j(2). Suppose 5*f - 129 = 266. Suppose -c*a + q + 169 = 0, -6*a + 3*a - 5*q = -f. Calculate the remainder when a is divided by 17.
16
Suppose 2*y + k = -1 + 4, -4*y - 5*k = 3. Suppose w = -y*w + 44. What is the remainder when w is divided by 4?
3
Let u(t) = -30*t. Let d be u(-1). Calculate the remainder when -2 + d - (-6)/(-3) is divided by 9.
8
Suppose -14*o + 2*o + 1500 = 0. Calculate the remainder when o is divided by 21.
20
Suppose -5*z + 246 = 5*n - 59, -n - 3*z = -51. What is the remainder when n is divided by 7?
3
Let d(r) = -r**2 - 11*r + 22. Let k(j) = -j**2 - 7*j + 15. Let n(l) = 5*d(l) - 7*k(l). Calculate the remainder when 25 is divided by n(4).
12
Suppose 2*g = -c + 3*g + 46, -4*g + 176 = 4*c. What is the remainder when c is divided by 8?
5
Let a = 18 + -14. What is the remainder when 4 is divided by a?
0
Let b(o) = 2*o**2 + 2*o - 1. Let g be b(1). Let l = 37 + -31. Suppose 5*f = -c + 7 + l, -f + g*c - 7 = 0. What is the remainder when 4 is divided by f?
0
Suppose d - 21 = 4*d. Let x(l) = -l**3 - 8*l**2 - 6*l + 10. Let r be x(d). Suppose -r*y + 2*y = -12. Calculate the remainder when 35 is divided by y.
11
Let b be (-3)/(-6)*0/(-2). Suppose -y + 4*r + 8 = b, 7*y - 2*y = -3*r + 40. Suppose 0*l + 14 = l. What is the remainder when l is divided by y?
6
Let j = -2 - -6. Suppose -d - 5*c + 19 = 0, 4*d - 37 = -j*c + 23. Let b = 42 - 2. Calculate the remainder when b is divided by d.
12
Suppose -4*w + 3*w + 57 = 4*i, 29 = 3*i - 2*w. Calculate the remainder when i is divided by 4.
1
Suppose 3*v = c + 193, -2*v = -3*c - 33 - 91. Let d = v - -4. Calculate the remainder when d is divided by 18.
15
Let j = -11 + 16. Let t be ((-4)/(-6))/((-12)/(-54)). Suppose f = -t*f + 76. What is the remainder when f is divided by j?
4
Suppose -5*a + 7 = k, 0 = -2*k - 2*a + 8 - 2. Suppose 8*t - 21 = 19. What is the remainder when t is divided by k?
1
Let z = 18 - 25. Suppose 35 - 10 = 3*m - r, 0 = -2*m - 5*r + 28. Let x = m - z. What is the remainder when 30 is divided by x?
14
Let z(a) be the second derivative of a**4/6 - 5*a**3/3 + 7*a**2/2 + 4*a. Calculate the remainder when z(6) is divided by 5.
4
Let k = 100 - 57. Suppose -21*b + 20 = -17*b, z + 4*b - 43 = 0. Calculate the remainder when k is divided by z.
20
Let c(k) = -5*k + 0 + 1 - 3. Calculate the remainder when c(-8) is divided by 13.
12
Let m = -18 - -29. Suppose -3*h + k + 21 = 7, 0 = -2*h - 4*k - 14. Let d(w) = w**3 - 3*w**2 + w + 3. What is the remainder when m is divided by d(h)?
5
Suppose 17*q - 5*q - 1584 = 0. What is the remainder when q is divided by 15?
12
Let r(h) be the first derivative of 2 - 3*h + 3/2*h**2 + 1/3*h**3. What is the remainder when 13 is divided by r(-5)?
6
Let j = 10 + -26. Calculate the remainder when 33 is divided by 4/(-16)*-4 - j.
16
Suppose p = -v + 12, 0*v = -5*p - 3*v + 62. What is the remainder when 22 is divided by p?
9
Let n(v) = -v**3 + 8*v**2 + 12*v - 19. Let p = -64 + 94. What is the remainder when p is divided by n(9)?
6
Calculate the remainder when 2/5 + 93/5 is divided by (-2)/3*(-99)/6.
8
Suppose 10*j - 217 = 3*j. Calculate the remainder when j is divided by 17.
14
Calculate the remainder when 97 is divided by 50/(2*2*(-1)/(-2)).
22
Suppose 2*l - 4*h = 22, -6*h = -3*l - 5*h + 43. What is the remainder when 2*(26 + (-6)/(-3)) is divided by l?
11
Let h(b) = -3*b + 1. Let f be h(-3). Suppose 0 = 2*s - s - f. Suppose 4*n = 6*n - s. What is the remainder when 13 is divided by n?
3
Suppose 28 = 4*c + 5*k - 154, -4*k + 94 = 2*c. Suppose 5*y + 4*b = 55, 50 = y + 2*y - b. What is the remainder when c is divided by y?
13
What is the remainder when 60 is divided by 2 + 0 + 22 + 0 + -3?
18
Suppose -2*k + 20 = 3*a, 0*a + 5*a = 4*k + 4. Suppose -2*m - 5*n = -0*m - 67, -n = k*m - 89. Calculate the remainder when m is divided by (2 - 0)*(-11)/(-2).
10
Let d(n) = -2*n - 6. Let m(v) be the first derivative of -v**2/2 - 7*v + 2. Let p(l) = 3*d(l) - 2*m(l). What is the remainder when p(-3) is divided by 3?
2
Suppose 0 = w - 2*w + 21. Calculate the remainder when w is divided by 15 + (4/1)/(-1).
10
Let r = -9 + 49. What is the remainder when r is divided by 14?
12
Suppose 0 = -2*p + 195 - 29. Calculate the remainder when p is divided by 17.
15
Suppose -17 + 32 = 5*n. What is the remainder when -3*((-2)/6 - 1) is divided by n?
1
Let d(a) = a**2 - 2*a + 2. What is the remainder when d(5) is divided by 10?
7
Let s = -11 + 18. Suppose -2*n + 6 = 2. Let j = 2 + n. What is the remainder when s is divided by j?
3
Suppose -r = -4*r + 39. What is the remainder when 36 is divided by r?
10
Let l(j) = -j - 4. Let t(d) = -8*d**2 + 2*d + 1. Let s be t(-1). What is the remainder when 13 is divided by l(s)?
3
Let m be 200/(-2)*(-7)/14. Suppose 2*d + q - m = 5*q, 0 = 4*d + 5*q - 74. What is the remainder when d is divided by 11?
10
Suppose 0 = -v - 3*k + 1, 3*k - 5 = v. Calculate the remainder when 1*29 + 3 + -3 is divided by 145/10 + v/(-4).
14
Let m(n) = -n**3 - 9*n**2 - 18*n + 3. What is the remainder when 123 is divided by m(-7)?
30
Let o be 2/6 - 128/(-12). Suppose o = a + 4. Calculate the remainder when a is divided by 3.
1
Let x(g) = g**2 + 3*g - 5. Let v = -21 + 44. What is the remainder when v is divided by x(-6)?
10
Let d be 145/15 + 2/6. Suppose -4*g = -n - 8, -5*n + d = 5*g - 3*n. Calculate the remainder when (0 + 1)/(4/20) is divided by g.
1
Suppose -2*i - 25 = -7*i. Calculate the remainder when 14 is divided by i.
4
Let t = 70 - 51. Let v = -52 - -89. What is the remainder when v is divided by t?
18
Suppose -2*j = -10, -f - j + 8 = -18. Calculate the remainder when 83 is divided by f.
20
Let f(m) = -m**3 + 6*m**2 + 6*m - 7. Let z be f(6). Let c = z + 6. What is the remainder when c is divided by 12?
11
Calculate the remainder when 69 is divided by (18/10)/(6/60).
15
Suppose -2*g + 164 = 3*d, d - 92 = -d + 3*g. What is the remainder when d is divided by 27?
25
Suppose 2*i + 5*x = 39, 4*x = 3*i - 21 - 3. Let c(y) = 4*y - 1. Suppose 8*g - 28 = 4*g - 2*a, 4*a = -2*g + 20. What is the remainder when c(g) is divided by i?
11
Let z = 90 + -55. What is the remainder when z is divided by 12?
11
Suppose 5*k = -i - 2*i + 151, 2*k + 5*i - 68 = 0. Suppose -4*m = -3*w - 72, -4*w + 6*w + 8 = 0. What is the remainder when k is divided by m?
14
Let n(m) = m**3 + 2*m**2 - 3*m + 1. Calculate the remainder when 40 is divided by n(2).
7
Suppose -q + 3*k - 11 = 0, 16 = -q - 0*q + 4*k. What is the remainder when 19 is divided by q?
3
Let v = 20 - 18. Let m(f) = f**3 - f + 1. Let p be m(0). Let c = 4 + p. Calculate the remainder when c is divided by v.
1
Suppose 3*x = -0 + 3. What is the remainder when 10 is divided by x - (-2 - (2 + -1))?
2
Suppose 0 = 6*k - 2*k - 52. Let o(a) = a**3 + 5*a**2 - a. Let i be (8/(-12))/((-4)/(-30)). Calculate the remainder when k is divided by o(i).
3
Let q be 3 + 1/(1/(-10)). Calculate the remainder when 9 - 6 - 4*q is divided by 8.
7
Let s(z) = -z - 2. Let d be s(-9). Let q(g) = -g + 7. Let t(h) = -h + 8. Let i(p) = -6*q(p) + 4*t(p). Calculate the remainder when i(d) is divided by 2.
0
Suppose 0*n - 2*n = -120. What is the remainder when n is divided by 16?
12
Let n(w) = -w**3 - 9*w**2 - 2*w + 5. Calculate the remainder when n(-9) is divided by 9.
5
Suppose 8*y = x + 3*y - 15, 4*x = 3*y + 94. Calculate the remainder when 72 is divided by x.
22
Let s = 462 - 324. Calculate the remainder when s is divided by 1 + -3 + (3 - -34).
33
Let j(r) = -r**2 + 19*r - 14. Let h be 153/(-6)*(-4)/6. What is the remainder when 37 is divided by j(h)?
17
Suppose -22 - 56 = d. Let u = -52 - d. Calculate the remainder when 101 is divided by u.
23
What is the remainder when 3*(0 + (-4)/12)*-85 is divided by 22?
19
Let j(i) = 10*i - 7. Let m(b) = b - 1. Let q(t) = j(t) - 2*m(t). What is the remainder when q(5) is divided by 12?
11
Let y(a) = -a**3 - 4*a**2 - 2*a + 5. Let m = -154 - -177. Calculate the remainder when m is divided by y(-4).
10
Suppose -4*p + 4 + 6 = 2*y, 2*p + 7 = 3*y. Calculate the remainder when 1 is divided