- 4. Let z be l(8). What is the remainder when (1 + 44)*z/12 is divided by 4?
3
Suppose 0 = 2*h - 4*h + 22. Suppose -2*o + 1 + h = 0. Calculate the remainder when 11 is divided by o.
5
Let v(t) be the second derivative of -t**5/20 - t**3/6 + 8*t**2 - 5*t. Calculate the remainder when 62 is divided by v(0).
14
Let w(q) = 3*q + 4. Let z be w(3). Let h be 2/(-14) - 36/(-7). Suppose h*p = z + 67. Calculate the remainder when p is divided by 9.
7
Let n(i) = -i**3 + 6*i**2 + 7*i + 4. Calculate the remainder when n(7) is divided by 4.
0
Let y = 14 + -2. Let i(m) = -4*m - 8. Calculate the remainder when 148/5 - y/(-30) is divided by i(-6).
14
Calculate the remainder when 15 is divided by -4*(-2 - (-1 + 0)).
3
Calculate the remainder when 78 is divided by (-3)/10*-2*(3 + 32).
15
Let h = -5 - -16. What is the remainder when 97 is divided by h?
9
Let f(k) = -k - 7. Let a be f(-7). Suppose a = -3*n + 4*t + 94, 2*n + 3 = -2*t + 47. Let d(s) = -6*s + 33. What is the remainder when n is divided by d(4)?
8
Suppose 0 = -b - 14 + 47. Calculate the remainder when 61 is divided by b.
28
Let c(i) be the second derivative of -i**4/12 + 5*i**3/3 + i**2/2 - 2*i. What is the remainder when c(7) is divided by 6?
4
Suppose 4*k - 3*k = 24. Let g(w) = w**3 - 3*w**2 - 3*w - 2. Let y be g(4). Calculate the remainder when k is divided by (-13)/y*(-4 + 2).
11
Let p(f) = 47*f - 1. Calculate the remainder when p(1) is divided by 16.
14
Let s(d) = -d**3 + 3*d**2 + 5*d - 2. Let y be s(4). Suppose -1 = -c - y. What is the remainder when 8 is divided by -1 + 3 - 1*c?
2
Suppose 21 = 5*g - 2*a, 4*a + a + 5 = 3*g. Suppose -36 = -3*m + 3*v, 4*m = 3*m + 5*v + 8. Calculate the remainder when m is divided by g.
3
Suppose -22 = -2*q + 2*k, -2*q + 4 = 2*k + 2. Suppose 0 = 2*g + q, 2*i + 0*g - 30 = 4*g. What is the remainder when i is divided by 3?
0
Suppose -2*q + 174 = 4*q. Calculate the remainder when q is divided by 15.
14
Let a = 65 + -56. What is the remainder when 29 is divided by a?
2
Let d be (-3 + 1)/((-4)/72). Suppose -d = -5*h + h. Calculate the remainder when 52 is divided by h.
7
Let o(m) = -m + 16. Suppose 0 = 4*w + 2 - 50. What is the remainder when w is divided by o(11)?
2
Let z(v) = -19*v**2 - 11*v - 19. Let p(a) = 6*a**2 + 4*a + 6. Let q(y) = 7*p(y) + 2*z(y). What is the remainder when q(-4) is divided by (-2)/4 + (-62)/(-4)?
14
What is the remainder when 60 is divided by 3*-1 - (-72)/3?
18
Suppose -p - 32 = 15. Let o = -21 - p. Let b(m) = m**3 + 7*m**2 + 4*m - 5. What is the remainder when o is divided by b(-6)?
5
Suppose -j - 2 = 2*r, r + 1 = 4*j - 0*r. Suppose j*s = s - 30. What is the remainder when s is divided by 2/(-7) + (-158)/(-14)?
8
Let j(b) = b**2. What is the remainder when (60/(-10))/((-3)/8) is divided by j(3)?
7
Let v be 24/(-56) + (-6)/(-14). Suppose v*a + 5*a = 140. What is the remainder when 111 is divided by a?
27
Let m be ((-7)/(-21))/(2/18). Suppose -2*l - 6 = -m*h - 5*l, -4*h = 3*l - 11. What is the remainder when 14 is divided by h?
4
Let d(a) = -a**2 - 8*a - 1. Let t be d(-6). Suppose t = -5*p + 81. Calculate the remainder when 25 is divided by p.
11
Suppose 0 = -p + 5*x - 50, -x + 3*x - 50 = p. Calculate the remainder when (p/(-6))/(4/24) is divided by 26.
24
Suppose 2*w = -2*w + 12. Let o = -163 + 235. What is the remainder when 35 is divided by o/16*8/w?
11
Let s(j) = -j**2 + 10*j - 2. Calculate the remainder when s(4) is divided by 12.
10
Let g be (4/4)/((-2)/4). What is the remainder when 148/(-3)*3/g is divided by 19?
17
Let k = 47 - 32. What is the remainder when 41 is divided by k?
11
Let k = -4 + 4. Suppose 125 + k = 5*j. Let m(u) = u**2 - u + 9. Calculate the remainder when j is divided by m(0).
7
Let r = -58 - -116. Calculate the remainder when r is divided by 20.
18
Let t be 4*(-4)/((-32)/6). Suppose -15 = 2*l - 5*l. Suppose -l*h + 15 = -t*g - 2*g, 0 = 3*h + 2*g - 19. Calculate the remainder when h is divided by 2.
1
Let z = 14 + -8. Suppose z = 4*q - 6. Calculate the remainder when 0/(-2) + (6 - 2) is divided by q.
1
Suppose 120 = -3*b + 561. Calculate the remainder when b is divided by 30.
27
Let c be ((-27)/(-6) + 3)*6. Suppose 3*w + 0*w = c. Calculate the remainder when w is divided by 4.
3
Let v be ((-4)/10)/((-2)/110). Suppose -5 = -3*t + v. Let b(g) = -3*g + 23. Calculate the remainder when t is divided by b(6).
4
Let o(h) = 2*h + 15. What is the remainder when o(13) is divided by 11?
8
Let p = 34 - 9. Suppose 5*y + n = 2*y + 22, 20 = -4*n. Calculate the remainder when p is divided by y.
7
Suppose 3*x + 4*w + 0*w + 2 = 0, 4*w = -2*x - 4. What is the remainder when 5 is divided by x?
1
Suppose -y = -20 - 3. What is the remainder when y is divided by 13?
10
Let n be 2/9 + 662/18. Let p be 2*n*(1 - -1). Suppose 2*r - p = -2*r. What is the remainder when r is divided by 13?
11
Let q be (-5)/(15/9)*1. Calculate the remainder when 29 is divided by 5 - q/(-2)*-2.
5
Let q(w) = -w**2 - 7*w - 4. Let k be q(-5). Let r be (k/(-9))/((-2)/21). Suppose 0 = 4*f, -3 = -x - r*f + 2*f. What is the remainder when 7 is divided by x?
1
Suppose -4*w - 5*j - 15 = -2*w, 0 = -4*w + 3*j + 35. What is the remainder when 34 is divided by w?
4
Let i(b) = b**3 - 4*b**2 - 5*b + 3. Let l be i(5). Suppose j - 16 = -l*j. Let k = 11 - 1. What is the remainder when k is divided by j?
2
Let c be (-256)/(-14) - 8/28. Suppose 2*v = -0*v - 4*p + c, 4*p - 12 = 0. Let x(r) = r**3 - 2*r - 1. What is the remainder when 38 is divided by x(v)?
18
Let x = -69 - -145. What is the remainder when x is divided by 28?
20
Suppose -5*m + 4 = -4*y, -2*y + 45 - 17 = 5*m. What is the remainder when 15 is divided by y?
3
Suppose 0*c + 127 = 3*c - 4*i, 5*c = 4*i + 201. Calculate the remainder when 108 is divided by c.
34
Suppose -3*i = -2*u - 15, 5 = -4*u - 7. Suppose 5*x - i*x = 16. What is the remainder when x is divided by 3?
2
Let g = 16 + -12. Let o = 11 + g. What is the remainder when 58 is divided by o?
13
Suppose 2*g = 6*g. Suppose 5*q = k + 3*k - 13, -2*k - 5*q = 1. Suppose -k*p + 5*p - 63 = g. Calculate the remainder when p is divided by 11.
10
Suppose -5*n + 3*z - 1 = -4*n, 5*n = 5*z - 5. Let b(i) = -10*i**3 + 2*i**2 + 2*i + 1. Calculate the remainder when 32 is divided by b(n).
10
Let x(t) = 4*t - 8. Suppose -2*m + l = m - 19, -10 = -2*l. What is the remainder when x(m) is divided by 9?
6
Suppose r - 4*r = -84. Let s = 41 - r. Calculate the remainder when 38 is divided by s.
12
Let f(j) = 3*j**2 + j. Let w be f(1). Let t be 4/w - (1 - 6). Calculate the remainder when 14 is divided by 66/14 + t/21.
4
Suppose 3*n - 2*n = 15. What is the remainder when n is divided by ((-96)/(-30))/(4/10)?
7
Let v = -129 - -313. Calculate the remainder when v is divided by 31.
29
Suppose -3*g - 85 = -133. What is the remainder when 46 is divided by g?
14
Let v(x) = -26*x - 5. Let s be v(-2). Let d = s + -24. Calculate the remainder when d is divided by -4*1*-1*2.
7
Suppose 2*x = 32 - 10. What is the remainder when 43 is divided by x?
10
Let q(s) = s**3 + s**2 + 5. Suppose -2*j + 4*m - 2 + 22 = 0, -5*j - 20 = 4*m. Let y(a) = a**2 + 7*a - 5. What is the remainder when q(j) is divided by y(-8)?
2
Let m be 2 - (-3 + 37)*-5. Let j = -99 + m. What is the remainder when j is divided by 19?
16
Let a(i) = i**3 - 2*i**2 + 2*i + 4. Suppose -2*w + 26 = -4*d, w - 4*d - 17 + 4 = 0. Let s = 28 - w. What is the remainder when a(4) is divided by s?
14
Suppose 3*z + r - 53 = 0, -9 - 48 = -3*z - 3*r. What is the remainder when 116 is divided by z?
14
Let a(p) = -4*p - 3. Calculate the remainder when 17 is divided by a(-3).
8
Suppose -2*r - 10 = 14. Let v = 21 + r. Calculate the remainder when v is divided by 5.
4
Let p be (-12)/(-2) - (-2 + 0). Let l = p - 2. What is the remainder when 16 is divided by l?
4
Let z = 6 + -3. Let d = 1 + z. Let g(t) = 3*t - 8. What is the remainder when g(6) is divided by d?
2
Suppose -5*d = 8 - 68. Calculate the remainder when d is divided by 5.
2
Let k = 116 - 66. Let o be 8 - -3 - (-2 + 1). Suppose -o = 2*d - 46. Calculate the remainder when k is divided by d.
16
Suppose 0 = y - 4*h - 20, -y = -3*y - 5*h + 27. Let u = y + 0. Calculate the remainder when u is divided by 9.
7
Suppose -36 = -7*f + 3*f. What is the remainder when (23 - 0) + (10 - f) is divided by 13?
11
Let t be (