 7 = 5*o + 4*f, o + 3*f - 11 = q. Suppose -5*v - 15 = 0, -3 + o = 2*u + 2*v. Calculate the remainder when u is divided by 5.
3
Let z(h) = -10*h**3 + 2*h**2 - 4*h - 3. Let w be z(-2). Let a = -61 + w. Calculate the remainder when 95 is divided by a.
31
Let w(i) = -i**3 + 6*i**2 + 2*i - 3. Let f be w(6). Let h(d) = -d**2 - 7 + 10*d - 2*d**2 + 2*d**2. What is the remainder when h(f) is divided by 2?
0
Calculate the remainder when (0 - -1) + 3 + 4 is divided by 4.
0
Suppose 0 = -3*d - n - 34 + 90, -5*d - n = -94. Calculate the remainder when d is divided by 6.
1
Suppose -t + 5 = 0, 3*q - 2*q = -3*t + 15. Suppose q = -0*g + g - 17. Calculate the remainder when g is divided by 6.
5
Suppose -4*i + u + 116 = 0, -5*i + 145 = -0*i + 5*u. What is the remainder when i is divided by 11?
7
Let r(m) be the third derivative of m**6/120 - m**5/20 - m**4/3 + 5*m**3/6 - m**2. Calculate the remainder when 58 is divided by r(5).
13
Calculate the remainder when 9/(-3) + 76/4 is divided by 5.
1
Let s(p) = p**3 - p**2 + 228. Let k be s(0). Suppose -k = -3*h - h. Calculate the remainder when h is divided by 15.
12
Calculate the remainder when 32 + 4 - (2 - (4 + 0)) is divided by 13.
12
Let x(p) = 10*p + 5. Let r(z) = -10*z - 6. Let b(m) = -4*r(m) - 5*x(m). What is the remainder when b(-2) is divided by 10?
9
Calculate the remainder when 38 is divided by (45/12)/(6/16).
8
Let x(p) = 4*p + 5. Let i be x(11). Let u = i - 4. What is the remainder when u is divided by 12?
9
Suppose 0*v = 4*v - 172. Suppose -2*m + 7*m = 330. Let f = m - v. Calculate the remainder when f is divided by 12.
11
Suppose -2*f - 8 = n + 3*n, 19 = 5*f - 3*n. Suppose p - x - 31 = 0, 20 + 16 = p - f*x. Calculate the remainder when 76 is divided by p.
24
Let c(d) = 3*d**2 - 2*d - 1. What is the remainder when c(5) is divided by 33?
31
Let f(k) = -9*k**2 - k + 3. Let s(z) = -10*z**2 + 3. Let r(j) = -4*f(j) + 3*s(j). What is the remainder when r(2) is divided by 10?
9
Suppose 0 = 6*y - 3 - 189. Calculate the remainder when 126 is divided by y.
30
Let k(v) = -44*v - 2. What is the remainder when k(-1) is divided by 11?
9
Let b be 52/9 + 4/18. Let s = -4 + b. Suppose -5*j = -3*d - 8, 4*j = s*d + 3*d - 4. What is the remainder when 7 is divided by d?
3
Suppose 0 = -2*i - 2*b, -2*i = -i + 4*b + 9. Suppose -i*j = j. Suppose 3*t - 2 - 10 = j. What is the remainder when 7 is divided by t?
3
Let v(t) = t**2 - 13*t + 9. Let i be v(13). Let x = 11 + i. Let d(s) = s**2 + 2*s - 1. What is the remainder when x is divided by d(-4)?
6
Suppose -6*z + 8*z = 18. Let b(m) = -m**3 + 5*m**2 + 3*m + 4 - 2*m + 2*m**3. What is the remainder when b(-4) is divided by z?
7
Let l = 48 + -30. Let m = -14 + l. What is the remainder when 17 is divided by m?
1
Let v(b) = -b**3 + b - 4. What is the remainder when v(-3) is divided by 8/12 + (-124)/(-12)?
9
Suppose -1 = 2*o - 9. Suppose -34 = -o*n + 90. Calculate the remainder when n is divided by 8.
7
Suppose -2*t + 7 = -5. Suppose -11 = -y - 1. Calculate the remainder when y is divided by t.
4
Let z(w) = 2*w**2 - 4. What is the remainder when 40 is divided by z(3)?
12
Let w = -25 - -319. Calculate the remainder when w is divided by 37.
35
Let j = -105 - -147. Calculate the remainder when j is divided by 22.
20
Let r(m) = -3*m + m - 2 + 0. Calculate the remainder when 7 is divided by r(-3).
3
Suppose 3*s + 4*f = 7*f + 18, 3 = -s - 2*f. Suppose -2*j = -s*j + 3. Calculate the remainder when ((-24)/(-2))/2 + 2 is divided by j.
2
Suppose 2*b - 5*m = 6, 0*b + 5*m = b + 7. Calculate the remainder when 23 is divided by b.
10
Suppose v - 17 = h, 3*v + 2*h = 49 + 22. What is the remainder when 66 is divided by (-4)/(-14) - (-351)/v?
15
Suppose 5 = 4*v - 63. What is the remainder when (-2)/5 - 741/(-15) is divided by v?
15
Let s = -14 + 22. Let h(c) = 2*c**2 - 10*c + 4. Calculate the remainder when h(s) is divided by 18.
16
Calculate the remainder when 30 is divided by 1 - -21 - 4 - 1.
13
Let l = 50 - 36. Let k be (4 - -1) + 0 + 0. Suppose k*h = 230 - 25. Calculate the remainder when h is divided by l.
13
Let s(o) = -o + 9. Let r be s(6). Let y(d) = 3*d**3 + 2 - 1 - 5*d**r. What is the remainder when 4 is divided by y(-1)?
1
Let o = -31 - -72. Calculate the remainder when o is divided by 14.
13
Let o be 18/(-4) + 1/2. Let z(m) = -m**3 + 5*m**2 + 8*m - 13. Let d be z(6). Calculate the remainder when 0 - d - (-16 + o) is divided by 12.
9
Suppose 7*s + 81 = 291. Calculate the remainder when 147 is divided by s.
27
Suppose -4*q + 2 = -10. Suppose 5*r = q*l - 12 + 2, -4*l + 44 = r. Calculate the remainder when 29 is divided by l.
9
Let b be 13 + -2 + 3 + -1. Suppose -4*v - j = -72, v + 3*j - b = 4*j. What is the remainder when 83 is divided by v?
15
Let m = 16 + -10. Calculate the remainder when 10 is divided by m.
4
Let p = -6 + 9. Suppose 2*n = 4*l - 20, -p*l = l + 2*n - 36. What is the remainder when 20 is divided by l?
6
Let b(v) = v**2 + 5*v + 5. Suppose 41 = 5*q + 2*t, -5*q = -t - 29 - 3. What is the remainder when q is divided by b(-5)?
2
What is the remainder when 41 is divided by (0 + -1 + 0)*-22?
19
Suppose -i = -5*i. Let u(j) = j**3 + j**2 - j + 81. Calculate the remainder when u(i) is divided by 21.
18
Let v(j) = j - 4. Let o be v(7). Suppose o*w - 1 - 23 = 0. What is the remainder when 39 is divided by w?
7
Suppose 2*q + 0 - 44 = 0. Calculate the remainder when q is divided by 0 + 0 + 5 + 1.
4
Calculate the remainder when (-3)/(-9)*(6/(-3) + 131) is divided by 5.
3
Let d = -10 + 18. Let a = d + 6. Suppose -o - o + a = 0. Calculate the remainder when o is divided by 3.
1
Suppose r - 400 = -3*r. Let d = r - 50. What is the remainder when d is divided by 26?
24
Let r(x) = 6*x + 6. What is the remainder when r(4) is divided by 8?
6
Let i be ((-18)/15)/(3/30). Let y = i + 24. Calculate the remainder when 47 is divided by y.
11
Suppose -2*b = 3*r - 79, 2*r = -b + 36 + 15. Calculate the remainder when 89 is divided by r.
20
Let m be 5 - (-3 + 2)/(-1). Suppose 5*n - 12 = -2*g, -m*n - 5*g = -3*n - 7. What is the remainder when (2/(-5))/((-1)/5) is divided by n?
0
Suppose -2*i + 5*i = 30. Let k(f) = -f**2 - 4*f - 2. Let q be k(-4). Calculate the remainder when q + (-2 + 0 - -33) is divided by i.
9
Suppose 5*f - 156 = f. Calculate the remainder when 75 is divided by f.
36
Suppose 10*n - 9*n - 27 = 0. What is the remainder when n is divided by 7?
6
Let d be (-2)/(3/9 - 1). Suppose 3 = l - d. What is the remainder when 22 is divided by l?
4
Let t(u) = -4*u + 1. Suppose 2*g = -2*g - 5*h + 51, 3*g + 5*h - 37 = 0. What is the remainder when t(-6) is divided by g?
11
Let n = -148 - -170. Calculate the remainder when 80 is divided by n.
14
Let j = -5 - -7. Suppose 4 = j*p + 2*p. Let i(f) = -f**3 + 3*f**2 + 4*f + 3. Calculate the remainder when i(4) is divided by p.
0
Let m be 6/(-15) + (-54)/(-10). Suppose -l + t = m*t - 13, 4*t - 8 = 0. What is the remainder when l is divided by ((-3)/2)/((-1)/2)?
2
What is the remainder when 29 is divided by (-21)/(-3)*(-24)/(-21)?
5
Suppose -2*i + 5*i = 0. Suppose -3*s = 5*k - 11, -5*k + s + 2 + 1 = i. Suppose -3*d + k = 13, -3*n + 3*d = -63. What is the remainder when 33 is divided by n?
16
Suppose -6 = 2*b, t + 4*b + 3 = 4*t. Let c be (-2)/t*-1*-3. Calculate the remainder when 16 - 1*(2 - c) is divided by 9.
7
Let d(g) = -g**3 + 4*g**2 + 10*g - 15. Calculate the remainder when 37 is divided by d(5).
7
Let p(r) = 293*r**2 + 2*r + 1. Let m be p(-1). Suppose -m = -4*v - y, 0*v + 365 = 5*v - 5*y. What is the remainder when v is divided by 19?
16
Let w = 1 + 16. Let b = -975 - -1008. Calculate the remainder when b is divided by w.
16
Suppose -2 + 10 = 4*o. What is the remainder when (o + -3)/((-1)/32) is divided by 11?
10
Let c(l) = -l**3 + 2*l**2 + 7*l. Let b be c(-5). Suppose b = -u + 5*u. Calculate the remainder when u is divided by 18.
17
Let n(w) = w**2 + 15*w + 18. Let x be n(-13). Let f = x + 16. Calculate the remainder when 15 is divided by f.
7
What is the remainder when 67 is divided by ((-50)/8)/(1*3/(-12))?
17
Suppose -4*k + 199 = -3*s, 0*s - 2*s = 10. Calculate the remainder when 88 is divided by k.
42
Let j = -15 + 57. Calculate the remainder when j is divided by 11.
9
Let g(h) be the second derivative of h**3/6 + 15*h**2/2 - 4*h. What is the remainder w