et n(x) = -x**2 - 30*x + 82. Calculate the remainder when n(-31) is divided by 11.
7
Let p = 1331 + -1207. What is the remainder when 365 is divided by p?
117
Let d = -3 + 5. Suppose -d*y = -5*y + 33. Let b = y - 7. Calculate the remainder when 7 is divided by b.
3
Let x(n) be the first derivative of 2*n**2 - 53*n + 25. What is the remainder when x(22) is divided by 6?
5
Suppose 21*u - 852 - 765 = 0. What is the remainder when u is divided by 46?
31
Let q(b) be the third derivative of b**5/60 + b**4/12 + 13*b**3/6 + 6*b**2. Calculate the remainder when q(0) is divided by 7.
6
Let g(h) = h**2 + 8*h + 9. Let q be g(-7). Suppose -q*x = -0*x - 68. Suppose 8 = 2*b - x. Calculate the remainder when b is divided by 12.
9
Calculate the remainder when 4 - 2895/(-27) - (-10)/(-45) is divided by 41.
29
Let h = -277 + 516. What is the remainder when h is divided by 48?
47
Let r(x) = x. Let m(t) = -t**3 - 8*t**2 - 13*t - 4. Suppose 0*d - 2*d = -6. Let k(c) = d*r(c) + m(c). Calculate the remainder when k(-7) is divided by 5.
2
Let y be (-2)/(6/(-1699)) - 2/(-3). Suppose 9*q - 135 - y = 0. What is the remainder when q is divided by 16?
14
Suppose -17*u + 15*u = -4*w - 152, 4*w = -5*u + 422. Calculate the remainder when 244 is divided by u.
80
What is the remainder when (-1335)/(-45) + 4/(-6) is divided by ((-12)/8)/(1/(-10))?
14
Suppose 5*d = d - 3*n + 26, -3*n + 11 = d. Calculate the remainder when (-8)/4*(-161)/14 is divided by d.
3
Suppose 5*u - 3*r = 29, 0 = -u + 4*r + 11 + 5. Suppose 24*o = 83*o - 34*o - 25. Calculate the remainder when u/(-10) + (-7)/(-5) is divided by o.
0
Let s = 41 + -35. What is the remainder when s is divided by 5?
1
Let i(n) = n - 11. Let l be i(11). Suppose l*s + 74 = 2*s. What is the remainder when s is divided by 19?
18
Calculate the remainder when (1 + 0)*100 - -1 is divided by 2*-14*-6*(-9)/(-72).
17
Suppose 24*j - 192 = 16*j. What is the remainder when 68 is divided by j?
20
Let f(w) = -7*w**3 - 1 - w - 37*w**2 + 37*w**2. Let d be f(-1). What is the remainder when 48 is divided by (-460)/(-35) + (-1)/d?
9
Let s = 280 + -193. What is the remainder when s is divided by 18?
15
What is the remainder when 57 is divided by ((-96)/50 - -2) + (-2694)/(-75)?
21
Let n(p) = 2*p**3 + 14*p**2 - 9*p - 37. Calculate the remainder when n(-7) is divided by 2.
0
Let v be 45/27*(3 - 0). Suppose i - 17 = -3*i + v*b, 2 = i + b. Suppose -i*j - 15 = 0, -4*j + 148 = 4*z - 0*j. What is the remainder when z is divided by 15?
12
Let r = -4 + 6. Let b be (-2)/4*(-4)/1. Suppose 0*a = a - b. Calculate the remainder when a is divided by r.
0
Let i(t) = -t**2 - 9*t + 2. Let c be i(-9). Let j(h) = h + c + 2*h + 0 + 5. Calculate the remainder when 47 is divided by j(6).
22
Let l = -55 - -108. Let j(y) = y**3 - 3*y**2 + 2*y + 3. Let t be j(4). Calculate the remainder when 31 is divided by l/7 + t/63.
7
Let y(p) = -p**3 + 12*p**2 - 15*p + 12. Let j be y(10). Suppose 21*s = 19*s + j. Calculate the remainder when 122 is divided by s.
29
Let z(k) = -9*k + 81. Calculate the remainder when 35 is divided by z(8).
8
Suppose -4*n + 1092 = 4*f, -4*f - 1104 = -8*f - n. What is the remainder when f is divided by 70?
67
Suppose 2*j - 5*k = 59, j - 12 = -0*k - k. Let g(f) = f**2 - 18*f + 36. What is the remainder when g(j) is divided by 6?
1
Suppose 2*k = 4*k - 10. Let p = -7 + 9. Calculate the remainder when k is divided by ((-4)/p - -1)*-2.
1
Let a = -103 + 193. Let t(y) = 8*y**2 + 10*y + 11. What is the remainder when a is divided by t(-2)?
21
Suppose -45*q + 240 = -40*q. Calculate the remainder when 79 is divided by q.
31
Let w = 11 + 6. Let d = 14 - 12. Let j(o) = o**2 - o + 4. Calculate the remainder when w is divided by j(d).
5
Let n(k) = -26*k + 1. Let g(i) = i - 4. Let b be g(3). Let q(u) = 3*u**2 + 24*u - 9. Calculate the remainder when q(-10) is divided by n(b).
24
Suppose 19*y - 946 = 1030. Let w = -32 - -67. Calculate the remainder when y is divided by w.
34
Let k = -10 + 1. Suppose 5*i - 46 = -5*n + 14, -2*n = -2*i + 40. Let z = i + k. What is the remainder when 12 is divided by z?
5
Suppose -15*o + 19*o = -3*j + 51, -2*j = -3*o + 17. Suppose 0 = -w + 2*w - 17. Let t = w - o. Calculate the remainder when 23 is divided by t.
7
Let y = -31 + 33. Suppose -3*u + 30 = 3*k, 4 + 9 = u - y*k. Calculate the remainder when u is divided by 6.
5
Suppose -10*g + 14*g + 12 = 0. Calculate the remainder when 23 is divided by ((-9)/4)/(g/8).
5
What is the remainder when -2 - (-1 + 22)*(-2 - 1) is divided by 9?
7
Suppose 0 = 5*s, -17 = -a - 5*s + 6*s. What is the remainder when a is divided by ((-3)/2)/(2/(-8))?
5
Let r(h) be the second derivative of -h**3/3 + 5*h**2 + 6*h. Suppose 5*f = 4*k + 4*f - 7, 0 = -5*k - 3*f + 30. What is the remainder when r(k) is divided by 3?
1
Let w = 63 + -28. Let j(x) = -2*x. What is the remainder when w is divided by j(-6)?
11
Let c(n) = 4*n**2 - 3 + 4*n + 3 - 3*n. What is the remainder when 81 is divided by c(-2)?
11
Let v(d) = d**2 - 5*d - 423. What is the remainder when v(-20) is divided by 27?
23
Let j(p) = 8*p + 1. Calculate the remainder when j(8) is divided by 48.
17
Let u = -257 - -842. Calculate the remainder when u is divided by 49.
46
Suppose 11 = 2*m + 5. Suppose m*j + 2*j - 160 = 0. What is the remainder when j is divided by 10 - (2/1)/(-2)?
10
What is the remainder when (3*2/(-15))/((-8)/2060) is divided by 18?
13
Calculate the remainder when 608 is divided by 141*(-7)/84*(-6 - -2).
44
Suppose -3*p - 76 - 44 = -3*d, 4*p = -5*d - 178. Calculate the remainder when (-298)/(-7) + (-18)/p is divided by 16.
11
Suppose 5*o - 203 = 112. Suppose -2*k - 42 = 5*z, 7*z - 2*z = 20. Calculate the remainder when o is divided by k/(-2) + (-1)/(-2).
15
Let h(q) = -q**3 + 23*q**2 + 24*q + 36. What is the remainder when 143 is divided by h(24)?
35
Let p be (-34)/5 + 44/55. Let v(x) = -x**2 - 10*x - 14. What is the remainder when 19 is divided by v(p)?
9
Let s(p) = p**2 + 7*p - 47. Calculate the remainder when 50 is divided by s(5).
11
Let x be ((-21)/14)/(2*3/8). Suppose 3*c + 22 = 2*f, 3*c + 11 = -4*f + 5*f. What is the remainder when (x*(-14)/16)/((-7)/(-84)) is divided by f?
10
Suppose 0 = 8*v + 7*v - 165. Let a be 3 - (-1 - 9/(-3)). What is the remainder when (3 + (a - 0))*5 is divided by v?
9
Suppose -2*v = -y - 2 - 5, -5*v - 2*y = -22. Suppose 0 = -4*a + 8 + v. Let l(u) = 7*u - 6. Calculate the remainder when l(a) is divided by 6.
3
Let h = 76 - 32. Let q = 686 - 674. Calculate the remainder when h is divided by q.
8
Let k be 5/((-15)/18) - -4. What is the remainder when 85 is divided by (-16)/k - -3*(-3 + 4)?
8
Let x(i) = i**2 + 15*i + 52. Let a be x(-10). Suppose -a*r + 19 - 1 = 0. What is the remainder when r is divided by 4?
1
Let c = -216 - -81. Let h be c/(-6)*(-20)/(-6). Suppose 0 = 4*f - f - h. What is the remainder when f is divided by 13?
12
Let f = -732 - -740. What is the remainder when 35 is divided by f?
3
Suppose o - 4*o = 201. Suppose -196 = 5*v - 6. Let c = v - o. What is the remainder when 86 is divided by c?
28
Let v = 59 - 53. What is the remainder when (-4 + v)/((-5)/(-170)) is divided by 10?
8
Let s be 1/8 + (-15180)/(-160). Let a = s - 82. What is the remainder when 35 is divided by a?
9
Suppose x + 4*h + 12 = 0, -2*x = 2*x + 3*h + 9. Calculate the remainder when 43 is divided by -3 + (-4 - -22) + x.
13
Suppose 4*r + 4*l = -24, -4*r + 0*r = -l + 39. Let x(y) be the second derivative of y**4/12 + 2*y**3/3 + 6*y. What is the remainder when x(r) is divided by 23?
22
Let u(o) = 3*o - 1. Suppose 4*h + t = 6*t - 26, -3*t = 3*h + 6. Let b be (3/h)/((-4)/48). What is the remainder when u(b) is divided by 7?
5
Suppose 12*z - 4620 = -1092. Suppose 34 = 2*l - 5*i, -5*l + 85 = 6*i - i. Calculate the remainder when ((-5)/(-10))/(3/z) is divided by l.
15
Let c(g) = g**2 + 21*g - 40. What is the remainder when 295 is divided by c(-25)?
55
Suppose 4*f = 4*v - 504, 0*f + f = -5*v + 660. Calculate the remainder when v is divided by 22.
21
Calculate the remainder when (0 + -3)/((-27)/1044) is divided by 30.
26
Let f = -1126 - -1490. Calculate the remainder when f is divided by 62.
54
Let t be (6/27)/(4/18). Let r(d) = d**3 - 8*d**2 - 6*d - 12. Calculate the remainder when (273/(-14))/(t/(-2)) is divided by r(9).
9
Let k be -8 + -2 + 