ose -3*u + 0*u = -342. Let h = -8 + u. Suppose 0 = 2*g - 3*j - h, 0 = -3*g - 4*j + 36 + 106. Calculate the remainder when g is divided by 17.
16
Suppose -o - 2*o = 3*w - 30, 3*w - 5*o - 22 = 0. What is the remainder when 25 is divided by w?
7
Let b(x) = -6*x - 7. Suppose 2*r - 28 = 5*p - r, 2*p + 2*r = -8. What is the remainder when b(p) is divided by 8?
7
Suppose 4*r = -42 + 210. Let j = 104 - r. Calculate the remainder when j is divided by 16.
14
Let l(x) = -x + 30. What is the remainder when 87 is divided by l(0)?
27
Let u = -4 + 12. Suppose -2*j = -7*j + 180. Suppose -2*g - 4*q = -20, 4*g = -5*q + 10 + j. What is the remainder when g is divided by u?
6
Let y(m) = 19*m + 56. What is the remainder when y(10) is divided by 19?
18
Let n(o) = -3*o + 2. What is the remainder when n(-1) is divided by 2?
1
Let b(y) = 2*y + 2. What is the remainder when 18 is divided by b(4)?
8
Suppose c = 4*f + 48, -7*c + f + 61 = -5*c. What is the remainder when c is divided by 6?
4
Let w(n) = n**2 + 2*n - 7. Suppose 7 - 19 = -4*t. What is the remainder when 13 is divided by w(t)?
5
Suppose 15*b - 20*b + 515 = 0. Calculate the remainder when b is divided by 15.
13
Let z be (3 - 1) + 6/(-3). Let i = 4 + z. Suppose 0 = -s - 3*y - 2, 5*s - 45 = -0*s - i*y. What is the remainder when s is divided by 5?
3
Let j(i) = -23*i + 1. Let w(h) = -23*h + 1. Let f(z) = 6*j(z) - 5*w(z). What is the remainder when f(-1) is divided by 13?
11
Suppose 4*k + 57 = 189. What is the remainder when 129 is divided by k?
30
Suppose -53 - 32 = -17*t. What is the remainder when 12 is divided by t?
2
Suppose -p + 6*p - 130 = 5*m, -5*p = -m - 146. What is the remainder when p is divided by 11?
8
Suppose -4*t + d + 300 = 80, 0 = -t - 3*d + 42. What is the remainder when 214 is divided by t?
52
Let g = -15 - -22. Let c be 3/(-6) - g/(-2). Suppose -f - 4 = -5*f, -5*s - c*f = -93. Calculate the remainder when 34 is divided by s.
16
Let v = -24 - -57. What is the remainder when v is divided by 12?
9
Let s(f) = f - 4. Let l be s(6). What is the remainder when (2/4)/(l/104) is divided by 7*(-3 + 6)/3?
5
Suppose 5*h - 4*i = 304, -h + 3*h - i = 124. Let b = 130 - h. What is the remainder when b is divided by 17?
15
Suppose -8*q + 103 + 137 = 0. Let z = -2 - -1. Let p(n) = 15*n**2 - 2*n - 1. Calculate the remainder when q is divided by p(z).
14
Suppose 91 = 2*s - 4*g - 47, 180 = 3*s + 3*g. Suppose 2*q = -q + s. What is the remainder when q is divided by 6?
3
Let o(w) = -w**2 + 7*w - 1. Let z(b) = -1 - b - 20*b**3 + 4*b**2 + 0 - 3*b**2. Calculate the remainder when z(-1) is divided by o(3).
10
Let c(b) = -b**3 - 14*b**2 + 14*b - 13. Let v be c(-15). Let i = -1 - -7. Calculate the remainder when 12 + -1 - (-1 + v) is divided by i.
4
Let d(f) = f**2 + 7*f - 7. Let i be d(-5). Let r = i + 48. Suppose 2*k - 4*k = -22. What is the remainder when r is divided by k?
9
Suppose 3*w = 2*j + 18, 2*w + 2*w - 31 = 5*j. Let u = -19 + 4. Let d = -8 - u. Calculate the remainder when d is divided by w.
3
Let h(t) = -t**2 - 2*t + 9. Calculate the remainder when 35 is divided by h(0).
8
Suppose 4*r - 3 = 5. Suppose -p + 17 = y + 2*p, -3*p - 16 = -r*y. Calculate the remainder when 21 is divided by y.
10
Let j(h) = -h**2 - 7*h + 9. Let f be j(-9). Let u(l) = l**2 + 9*l + 4. What is the remainder when 13 is divided by u(f)?
1
Suppose 10*p = 144 + 376. Calculate the remainder when p is divided by 14.
10
Let d(b) = 9*b**2 - 2. Suppose -2*o = -o - 2. What is the remainder when d(o) is divided by 18?
16
Suppose 2*j - j = 6. What is the remainder when 35 is divided by (-8 + 6)/((-1)/j)?
11
Let u(m) = 11*m + 4. Let c = 14 - 12. Calculate the remainder when 75 is divided by u(c).
23
Let k(b) = b**3 - 10*b**2 + 8*b. Let v be 224/21 - (-2)/(-3). What is the remainder when k(v) is divided by 27?
26
Let j = -20 - -2. Suppose 5*n + 25 = 4*n. Let q = j - n. Calculate the remainder when 13 is divided by q.
6
Let a(w) = -w**3 + 7*w**2 - w - 6. Calculate the remainder when 167 is divided by a(6).
23
What is the remainder when 3 + 11/((-22)/(-36)) is divided by 2 + (0 + -1)*-9?
10
Let m(y) = y**3 - 19*y**2 - y + 46. Calculate the remainder when 107 is divided by m(19).
26
Suppose -x + 15 = 3. Calculate the remainder when 57 is divided by x.
9
Suppose 0 = d + d - 24. What is the remainder when 72/2 + (-4 - -2) is divided by d?
10
Suppose -k = 5*v + 17, k + k - 2 = -v. Let r(f) = -3*f - 2. Calculate the remainder when r(-4) is divided by k.
1
Let z(i) be the third derivative of -1/8*i**4 - 1/15*i**5 - 1/120*i**6 + 0 + i**2 + 1/2*i**3 + 0*i. What is the remainder when z(-3) is divided by 2?
1
Let a = -9 + 13. Let o = 14 + -2. Suppose a*j + o = 44. What is the remainder when 14 is divided by j?
6
Let l be 3 + -5 + 2/1. Suppose -c + 5 = 5*g, -2*c + l*c = 5*g. Let p(b) = -3*b - 4. What is the remainder when 20 is divided by p(c)?
9
Let b = 129 + -84. Calculate the remainder when b is divided by 13.
6
Calculate the remainder when (-6)/((-72)/260)*3 is divided by 33.
32
Suppose -2*w + 0*w + 10 = 0. Let i = w - 2. Suppose -i*d = -8*d + 215. What is the remainder when d is divided by 22?
21
Let x be 13/(1 + 0)*3. Suppose 4*s = s + x. Calculate the remainder when s is divided by 7.
6
Let k(n) = 4*n - 6. Suppose -5*y + 2*a = -50, 3*y - 30 = -0*a + 3*a. Calculate the remainder when k(6) is divided by y.
8
Suppose -2*w = -5 - 3. Suppose -2*p - w = -2*g + 22, 20 = -4*p. Calculate the remainder when g is divided by 5.
3
Let m = 6 + -4. Calculate the remainder when 14 is divided by m.
0
Let h = 53 - 32. Suppose -396 = -39*a + 3*a. What is the remainder when h is divided by a?
10
Suppose 2*a - b = 24, -a + 5*b = -0*a - 30. Let t be (-4)/a - 136/10. Calculate the remainder when 13 is divided by 2/2*t/(-2).
6
Let y be (6/(-9))/2*-27. Let s = 7 - 4. Suppose -s*z + 2*z = -y. Calculate the remainder when 17 is divided by z.
8
Let f(a) = -2*a**2 - 8*a - 6. Let o be f(-5). Let y = 24 + o. Calculate the remainder when 13 is divided by y.
5
Suppose 9 = 3*f, 2*y - 3*y - 4*f + 18 = 0. Suppose -14 + y = -l. Suppose -9 = -g + 6. What is the remainder when g is divided by l?
7
Suppose 4*k + 24 - 192 = 0. What is the remainder when k is divided by 11?
9
Suppose -2*p - 2*p + 148 = 0. Let v(d) = -d**2 + 16*d + 4. What is the remainder when p is divided by v(15)?
18
Suppose 16 = 4*o - 4*g, 5*o + 2*g - g = 8. Suppose -j - j + 32 = 0. Suppose 2*s + 3*s - j = n, -s = n - 8. Calculate the remainder when n is divided by o.
0
Let k(c) = 2*c - 6. Let i be k(4). What is the remainder when 9 is divided by i/(-16)*-10*4?
4
Let x(m) = 5*m**2 - m - 14. What is the remainder when x(5) is divided by 18?
16
Suppose 0 = 2*p - 0*p - 478. Suppose -3*n = -0*n - v - p, 0 = 2*n + 4*v - 164. Suppose -3*s - n = -7*s. Calculate the remainder when 37 is divided by s.
17
Suppose -3*i = 4*o - 4*i - 9, -o - 19 = 4*i. Let t(k) = 19*k**3 + 2*k**2 - 2*k + 1. Calculate the remainder when 59 is divided by t(o).
19
Suppose c + c - 2 = p, p = -3*c + 18. Suppose 5 - 2 = 3*x. Calculate the remainder when (-21 - x)/(2 - 4) is divided by p.
5
Let n = -138 + 66. What is the remainder when n/(-5) - 10/25 is divided by 8?
6
Let d(s) = 5*s + 2. Let v(i) = i**3 + 4*i**2 + 2*i + 2. Let p be v(-3). Let g(a) = a**2 - 2*a + 2. Calculate the remainder when d(6) is divided by g(p).
15
Let f(v) = v**2 - v + 8. Let u be f(0). What is the remainder when 18 is divided by ((-2)/u)/(5/(-220))?
7
Suppose 4*g - 4*l = 139 + 181, -3*g = 3*l - 252. Calculate the remainder when g is divided by 21.
19
Let q(t) = -t**3 + 6*t**2 - 5*t + 2. Suppose -4*n - 22 = -3*g, 2*g + 10*n + 16 = 5*n. Suppose 8 = g*i - 0*i. What is the remainder when 40 is divided by q(i)?
12
Let a = 61 + -51. What is the remainder when 36 is divided by a?
6
Let u = 22 + -8. Let r(d) be the third derivative of -d**5/60 - d**4/4 + d**2. What is the remainder when u is divided by r(-5)?
4
Let w = -14 - -28. Let p = 101 - 62. Calculate the remainder when p is divided by w.
11
Suppose -p + 20 = p. Suppose 4*l + 5 + 2 = 3*c, 0 = 2*c - p. Suppose -l*h = -31 - 27. Calculate the remainder when h is divided by 10.
9
What is the remainder when 24/60 - (-168)/5 is divided by 6?
4
Suppose 44 = 4*u - 24. What is the remainder when u is divided by (1/3)/(12/360)?
7
Let q = 4 - -12