. What is the remainder when j is divided by 10?
6
Suppose 4*r = 4*q - 48, r - 11 = -3*q - r. Let g(c) = -4*c + 3 + 7*c - c - 1. Calculate the remainder when g(q) is divided by 6.
4
Suppose -k + 116 = 2*r + 13, 2*k = -3*r + 204. Suppose 0 = -2*x + 3*x - 10. What is the remainder when k is divided by x?
9
Suppose 10*a + 80 = 18*a. Calculate the remainder when 67 is divided by a.
7
Suppose -13 = 4*q + 3, -3*u + q + 31 = 0. Suppose 14*b - 520 = u*b. What is the remainder when b is divided by 27?
23
Let q(z) = z**3 + 6*z**2 - 6*z + 11. Let j = -12 - -5. Calculate the remainder when 19 is divided by q(j).
3
Suppose 2*s = 10, h - 22 = -0*h - 4*s. Suppose -h*d - 3*q + 12 = d, q - 10 = -2*d. Calculate the remainder when 5 is divided by 4 - (d - 4)/1.
1
Let y(n) = 2*n**2 - 4*n + 11. Calculate the remainder when 66 is divided by y(4).
12
Let b(l) = l**3 - 8*l**2 + 11*l - 7. Let n = -48 + 88. Suppose 0 = -3*s - 2*s + n. Calculate the remainder when b(7) is divided by s.
5
Let g be (-1)/(10/(-84)) + (-8)/20. Calculate the remainder when 55 is divided by ((-6)/g)/((-15)/420).
13
Let p(f) = f**3 + 7*f**2 + f + 4. Let s be p(-7). Let v = 89 - 19. What is the remainder when v is divided by (4/s)/((-7)/126)?
22
Let r(m) = m**3 + 9*m**2 + 11*m - 3. Let c(p) = -p**3 - 4*p**2 + 14*p + 5. Let j be c(-6). Calculate the remainder when 26 is divided by r(j).
8
Let p = -19 + 28. Let b(s) = -s**2 + 7*s + 2. Let m be b(7). Suppose 0 = -5*t - m*w + 42 - 9, -4*w = 5*t - 41. Calculate the remainder when p is divided by t.
4
Suppose -62*r + 11 = -60*r + 5*p, 2*r - 4*p = 56. Calculate the remainder when 89 is divided by r.
17
Let h(s) be the third derivative of s**4/12 + 10*s**3/3 - 2*s**2. What is the remainder when 38 is divided by h(0)?
18
Let h(w) = 8*w - 39. Let m be h(12). Let f = m + -21. What is the remainder when 105 is divided by f?
33
Let s(t) = -18*t - 82. What is the remainder when s(-12) is divided by 5?
4
Suppose 6*u - 2*u - 8 = -4*a, -1 = -2*u - 3*a. Suppose -u*c = 3*n - 122 - 22, c - 20 = -5*n. Let k = -103 - -114. What is the remainder when c is divided by k?
8
Let n(b) = 20*b - 1. Suppose -3*r + 3 = -0*r. Calculate the remainder when n(r) is divided by (-58)/(-6) + 0 + 2/(-6)*-4.
8
Suppose -4 = -2*h - 30. Suppose -35 = -5*m + 3*p, -5*m = p - 3*p - 35. Let v = m - h. What is the remainder when 39 is divided by v?
19
Suppose 11 = 2*r + 3, -5*r = -4*t + 28. Let k(g) = 95*g + 8. Let l be k(2). Suppose 0*f = -6*f + l. What is the remainder when f is divided by t?
9
Suppose 2*l = -n + 9, 4*n = l - 0*l + 45. Calculate the remainder when -1 - -3 - -39 - 0 is divided by n.
8
Let o(m) = -m**2 + 10*m - 6. Let h(d) = -3*d + 12. Let q be h(6). Let k(g) = -g**2 - 7*g - 3. What is the remainder when k(q) is divided by o(9)?
0
Suppose 5*l = w + 4*l - 16, 0 = 4*w - 3*l - 67. Let x = 291 - w. Calculate the remainder when x is divided by 55.
52
Let r(n) = -2*n**2 - 3*n - 2. Let i be r(-3). Let m = 5 - i. Calculate the remainder when 26 is divided by m.
10
Let k be (6/4)/(12/128). Suppose -k*o + 14*o = -82. What is the remainder when o is divided by 9?
5
Calculate the remainder when (-4959)/76*4/(-2 - -1) is divided by 22.
19
Let d(i) = i**2 + 19*i + 67. Let g be d(-7). Let y = g + 21. What is the remainder when 43 is divided by y?
3
Suppose -33*a + 3949 = 1408. What is the remainder when a is divided by 42?
35
Let g be 133 - ((-4)/(-10))/((-4)/(-30)). Suppose 2*y = g - 2. What is the remainder when y is divided by 18?
10
Let v = 19 + -14. Suppose 0*m + v*m = 45. Calculate the remainder when m is divided by 175/63 + (-4)/(-18).
0
Suppose -3*q + 2*o + 73 + 60 = 0, 230 = 5*q + 5*o. What is the remainder when 402 is divided by q?
42
Suppose 19*y - 207 = 18*y. What is the remainder when y is divided by 53?
48
Let t(z) = 9*z**2 - z - 1. Let g(p) = -3*p**2. Let u(b) = -7*g(b) - 2*t(b). What is the remainder when 41 is divided by u(-3)?
18
Suppose 5*t - 4*z - 15 = 1, 4*t = 4*z + 12. Let i(k) = 3*k**2 + 13*k - 30. Calculate the remainder when i(2) is divided by t.
0
Suppose 40*z = 32*z - 1024. Let j = -123 - z. Calculate the remainder when 48 is divided by j.
3
Let s(b) = 8*b - 12. What is the remainder when 339 is divided by s(4)?
19
Let a be (2/6)/((-1)/3). Let j be (a - 17)*1/2. Let x = j - -21. What is the remainder when 45 is divided by x?
9
Suppose -3*a - 51 + 249 = 0. Calculate the remainder when a is divided by 13.
1
Let s = -253 + 266. Calculate the remainder when 180 is divided by s.
11
Let i(q) = q**2 - 25. Let h be i(0). Let g = 39 + h. What is the remainder when g is divided by 10/30 - (-46)/6?
6
Suppose 3*n = 4 + 14. Let q be ((-2)/n)/((-2)/(-186)). Let g = q - -96. Calculate the remainder when g is divided by 17.
14
Let y = 15 - -31. Let a = y - 23. What is the remainder when a is divided by 6?
5
Suppose 4*r = 4*b + 128, -182 + 62 = -4*r - 4*b. Let z = -25 + r. Calculate the remainder when 14 is divided by z.
2
Suppose 0 = -62*h + 232 + 4542. What is the remainder when 223 is divided by h?
69
Suppose 44705 = 60*m + 13865. What is the remainder when m is divided by 130?
124
Let b(i) = 72*i**2. Let d be b(1). Suppose w = -3*w - d. Let s = -7 - w. What is the remainder when 30 is divided by s?
8
Suppose 0 = 4*p - 5*o - 425 - 86, 2*o - 118 = -p. Calculate the remainder when p is divided by (70/40)/(4 - -3*(-282)/216).
19
Suppose 0*i = 2*i - 58. Suppose 5*p = -4*z - 146, -13 = 2*z - 3*p + 49. Let v = -24 - z. What is the remainder when i is divided by v?
9
Let t(m) = 5*m - 8. Let b(v) = v + 13. Let o be b(-6). Calculate the remainder when t(o) is divided by (-1)/((-7)/48) - (-7)/49.
6
Let d(a) = -a**3 - 2*a**2 + 5*a + 2. Let k be d(-3). What is the remainder when 7 is divided by (k/(4/(-3)))/(24/16)?
1
Let g = -10 - -34. Suppose -4*i - 8 = 0, -y = -2*y - 3*i + 1. What is the remainder when g is divided by y?
3
Let k(l) = 3*l**2 - 5*l + 4. Let d be k(3). Let j = d - -6. Calculate the remainder when 87 is divided by j.
21
Suppose -7 = 5*i - 82. Let w(p) = p**3 + 5*p**2 + 2*p. Calculate the remainder when i is divided by w(-4).
7
Suppose 0 = 7*j + 11*j + 1152. Let t = -58 - j. Calculate the remainder when 10 is divided by t.
4
Let v be ((-1)/4 - (-6)/24) + 3. Suppose 4*l - 1 = -v*b + 8, 2*l - 17 = b. What is the remainder when 17 is divided by l?
5
Suppose -30 = -q - 4*f, -32 = -q - 3*f - 4. Calculate the remainder when 88 is divided by q.
0
Suppose 2*p + p = -18. Let d be ((-18)/(-12))/(p/(-8)). Suppose -r + 6 - 29 = -d*c, 2*r + 19 = c. Calculate the remainder when 34 is divided by c.
7
What is the remainder when 1361 is divided by ((-1040)/(-32))/(4*(-2)/(-16))?
61
Let a(p) = -12*p**2 - 25*p**3 + 24*p**3 + 19 + 17*p - 8*p**2 + 5*p**2. Calculate the remainder when a(-16) is divided by 1.
0
Let r(q) be the third derivative of q**4/24 + 5*q**3/6 + 18*q**2. Let l(h) = h**3 + 4*h**2 - 5*h + 7. What is the remainder when r(7) is divided by l(-5)?
5
Let o = 2298 + -2284. What is the remainder when 103 is divided by o?
5
Let n be 0*-2*(-3)/(-6) + 197. Let u = n - 132. What is the remainder when u is divided by 6?
5
Suppose 0*p - 2*b + 120 = -5*p, -3*p + b = 72. Calculate the remainder when 41 + ((-6)/p - 18/8) is divided by 21.
18
Let g be 66/14 + (-36)/(-126). Suppose -g*s + 5*b - 2*b = -410, s - b = 82. Let c = -20 - -41. Calculate the remainder when s is divided by c.
19
Let y(i) = -i**3 - 2*i**2 + 5*i - 2. Calculate the remainder when ((-361)/(-38) - (-1 - -10))/((-1)/(-96)) is divided by y(-4).
8
Let c(x) = 10*x**2 + 2*x - 7. Let n be c(-4). Suppose 9*m - 4*m - n = 0. Suppose -21 = -2*o - 5. Calculate the remainder when m is divided by o.
5
Let c(n) = -95*n - 619. Calculate the remainder when c(-21) is divided by 17.
16
Let u(z) = -79*z - 378. What is the remainder when u(-12) is divided by 82?
78
Suppose -8*c + 29*c - 1071 = 0. Calculate the remainder when 116 is divided by c.
14
Suppose -77 = 5*p - 52. Let h(t) = t**3 + 7*t**2 + 9*t + 11. Let j(o) = 6*o. What is the remainder when j(5) is divided by h(p)?
14
Suppose 0 = -a - p + 26, 3*a + 20 = 4*a - p. Calculate the remainder when 43 is divided by a.
20
Let o = 8 + -21. Suppose -2*y = -7*y - 20, -36 = i + 3*y. Let n = o - i. Calculate the remainder when 21 is divided by n.
10
Let v = 2 + 7. Let n = -5 + v. Suppose -h - 1