-1 is divided by 8.
3
Let i(p) = 1. Let h(o) = 2*o - 12. Let w(f) = h(f) + 2*i(f). Let d be w(8). Let z = 4 + d. What is the remainder when 39 is divided by z?
9
Let h(r) be the first derivative of r**2/2 - r - 1. Let p(l) = 4*l - 10. Let v be p(6). What is the remainder when h(v) is divided by 4?
1
Suppose 5*z + 2*i = -i + 11, -2*z = i - 4. What is the remainder when 95 is divided by ((-25)/4)/(z/(0 + -4))?
20
Let s = 21 + -18. Suppose -s*x - 2*j + 31 = 0, 5*x + 0*j - 58 = 3*j. What is the remainder when 306/10 - (-10)/25 is divided by x?
9
Let q(g) = 2*g + 24*g**2 + 2 - 9*g**2 - 4. Calculate the remainder when q(2) is divided by 16.
14
Let b = 1588 + -1544. Calculate the remainder when b is divided by 12.
8
Let h(s) be the second derivative of -13*s**3/6 - s. Let r(p) = -10*p + 7. Calculate the remainder when h(-6) is divided by r(-2).
24
What is the remainder when 77 is divided by (-16*(-4)/(-2))/(-1 - 1)?
13
Suppose -5*s + 9*s = 12. Suppose 54 = s*n + 5*l + 19, 0 = -l + 4. Calculate the remainder when 16 is divided by n.
1
Let w(b) be the third derivative of -7/24*b**4 + 0*b + 2/3*b**3 + 0 + 3*b**2. Calculate the remainder when w(-7) is divided by 18.
17
Let b(z) = -10*z + 30. Let m be b(12). What is the remainder when 43 is divided by -3 - m/11 - 2/11?
3
Suppose 18 + 14 = 4*c. Let x(g) = g**3 + 21*g**2 - g + 10. Calculate the remainder when x(-21) is divided by c.
7
Suppose -19 = -3*z + 5*y, -3*y = 5*z - 11 + 2. Let q = -191 - -191. Suppose q = h + z*h - 212. Calculate the remainder when h is divided by 14.
11
Suppose 2*s + 3*m - 36 = 32, 2*s - 4*m - 68 = 0. What is the remainder when s is divided by 22?
12
Suppose 1174 = 4*c - 2*c + 2*i, c = i + 585. What is the remainder when c is divided by 19?
16
Let h = 50 - 49. Calculate the remainder when 11 is divided by ((-8)/(-8))/(h/5).
1
Let s = 46 + -70. Calculate the remainder when 4 is divided by (6/s)/((-2)/24).
1
Suppose 3*f - 534 = -5*u, -4*u + 0*f + 3*f + 438 = 0. What is the remainder when u is divided by 30?
18
What is the remainder when 4/6*(-3750)/(-20) is divided by 116?
9
Let b = 1579 + -1559. Calculate the remainder when 52 is divided by b.
12
Let f(u) = 2*u**2 + 46*u - 14. What is the remainder when f(6) is divided by 20?
14
Let g(j) = -24*j + 150. Calculate the remainder when g(-17) is divided by 80.
78
Suppose 3*o + 3 = -3*g, 4*g + 0*o = 2*o + 20. Suppose -5*x = 5*p - 70, -g*x + 27 = -2*p - 35. Calculate the remainder when 68 is divided by x.
14
Let m(q) = q**2 - 25*q + 34. Calculate the remainder when 134 is divided by m(0).
32
Suppose -u + 31 = 5*x, 5*u - 2*x - x - 15 = 0. Suppose u*k - 101 = 175. Calculate the remainder when k is divided by 24.
22
Suppose w + 5*l = 3*w - 43, -62 = -4*w + 2*l. Let n be (-8)/(0 + -2 + 4). What is the remainder when n/8 + 308/8 is divided by w?
10
Suppose -15*m = 380 - 1010. What is the remainder when 670 is divided by m?
40
Let s = 111 - 66. What is the remainder when s is divided by ((-10)/(-20))/((-2)/(-64))?
13
Let n(b) be the second derivative of -7*b**5/10 - b**4/12 - b**3/2 - b**2 + 9*b. Calculate the remainder when n(-2) is divided by 29.
25
Suppose -3*i + 128 = 2*j, i - j - 15 = 21. Let y = -17 - -15. Let z(a) = -7*a. What is the remainder when i is divided by z(y)?
12
Let k = 65 - 49. Calculate the remainder when 109 is divided by k.
13
Let m(y) = y + 11. Let r be m(-9). Let z(j) = 10*j + 14. Calculate the remainder when z(r) is divided by 2*(18/(-4))/(-1).
7
Let g(r) be the third derivative of -r**6/120 - 2*r**5/15 - r**4/2 + r**3 + 21*r**2. What is the remainder when 22 is divided by g(-6)?
4
Let f(p) = 1 - 2*p - 3 + 4. What is the remainder when 43 is divided by f(-10)?
21
Let h(t) = t**2 + t. What is the remainder when h(4) is divided by 7?
6
Let m(b) = -2*b**3 - 82*b**2 + 176*b + 185. Suppose -67 = -3*s + 5. Calculate the remainder when s is divided by m(-43).
11
Suppose 0 = -3*z + 3*h - 513, -2*h + h - 825 = 5*z. Let y = 168 + z. Suppose 0*p = 2*p - 6. Calculate the remainder when p is divided by y.
1
Suppose -i = 16*f - 14*f - 184, -2*f - 5*i + 192 = 0. What is the remainder when f is divided by (-23)/(1/(-1 + 0))?
22
What is the remainder when (-2)/(-17) + (-629)/(-578)*78 is divided by 24?
13
Suppose 0*c = -13*c + 3276. What is the remainder when c is divided by 51?
48
Suppose 6*x = 8*x - 18. Suppose -20 + 119 = 3*z. What is the remainder when z is divided by x?
6
Let k = 71 - 51. Let c(h) = 9*h + 8. Let d(q) = q + 1. Let r(l) = c(l) - 6*d(l). Calculate the remainder when k is divided by r(3).
9
Calculate the remainder when 635 is divided by (-86)/(-4) + ((-135)/(-10) - 13).
19
Suppose a - 11 = -2*x + 5, -a - 3*x = -16. Suppose -b + 4*b - 81 = 0. Calculate the remainder when b is divided by a.
11
Let q = -348 - -368. Calculate the remainder when q is divided by 7.
6
Suppose -4*r + 10*h = 8*h - 50, -3*r = -h - 40. What is the remainder when 74 is divided by r?
14
Let d = 1441 - 1409. What is the remainder when d is divided by 9?
5
Let b = -18 + 27. Let j(u) be the third derivative of u**5/20 - u**4/3 + 3*u**3/2 + 3*u**2. Calculate the remainder when j(4) is divided by b.
7
Let u = -24 - -35. What is the remainder when -6 - ((-51)/255 - (-268)/(-10)) is divided by u?
10
Let a be 10*(-1 + 1 + 1). Suppose -3*l = -3*t + 27, 3*t = -2*l - 0*l + 57. Calculate the remainder when t is divided by ((-6)/5)/((-3)/a).
3
Suppose -6 = -75*s + 74*s. Let z be 3/2*1*-10. Let q = 25 + z. What is the remainder when q is divided by s?
4
Let x = 267 - 94. What is the remainder when x is divided by 44?
41
Suppose -3*b + 2*c = -0 - 4, 7 = 2*b + 3*c. Let l be (77/21 - 4)/((-2)/(-24)). Calculate the remainder when 36 is divided by b*-13*2/l.
10
Let m = -511 + 513. Calculate the remainder when 5 + 0 - (1 + -1) is divided by m.
1
Let b(v) = -v - 9. Let s(z) = -z**2 + 18*z + 1. Let q be s(19). Calculate the remainder when b(q) is divided by 4.
1
Let b(c) = 28*c**2 - 5*c + 43. What is the remainder when b(5) is divided by 16?
14
Suppose -4*x = -9*x - 1275. Suppose 4*t - 4*k = -1492, t - 3*t - 751 = -3*k. Let g = x - t. What is the remainder when g is divided by 29?
26
Suppose -29*b = -45*b + 176. Let w = 3 + 0. What is the remainder when b is divided by w?
2
Suppose 0 = 2*v + 3*q - 102, -7*v = -9*v + 2*q + 82. Let i = 227 + -404. Calculate the remainder when (i/(-12))/(2/24) is divided by v.
42
Let c(n) = -n**3 - 15*n**2 - 13*n + 15. Let s be c(-14). Calculate the remainder when 3*s - (-1 + -10) is divided by 4.
2
Let o = -14180 - -14195. What is the remainder when 4/10 + 406/10 is divided by o?
11
Let x(k) = 3*k - 8. Let p be x(-7). Suppose -5*b + 847 - 757 = 0. Calculate the remainder when p/(-9) + b/(-81) is divided by 2.
1
Suppose 5*k - 54 + 39 = 0. Suppose -q + 81 = p + 4*p, -51 = -k*p - 3*q. Calculate the remainder when 30 is divided by p.
14
Suppose 3*a + 3 = -2*o + 295, 4*o - 624 = 4*a. Calculate the remainder when o is divided by 31.
28
Suppose -5*g = -5*q - 305, -5*g - 8*q = -7*q - 335. What is the remainder when g is divided by 8?
2
Let p(m) = 37*m - 17. Let d be p(3). Suppose 4*j + r - 602 = 0, 2*r + d - 392 = -2*j. Calculate the remainder when j is divided by 26.
21
Calculate the remainder when (18/15)/(2/110) is divided by 30.
6
Suppose i - 524 = -g + 6*g, 5*g + 540 = 5*i. Let j = g + 115. Calculate the remainder when 73 is divided by j.
7
Let m be 2019/15 + (-2)/(-5). Suppose -t = -4*t - m. Let y = -17 - t. Calculate the remainder when y is divided by 10.
8
Suppose 0 = 4*w + 2*u - 657 + 167, 0 = 3*w + 3*u - 366. Calculate the remainder when w is divided by 43.
37
Let m(k) = 19*k + 2. Let x(o) be the third derivative of 5*o**4/24 + 2*o**3/3 + 2*o**2. What is the remainder when x(7) is divided by m(1)?
18
Let b = -144 + 89. Let t = -10 - b. Calculate the remainder when t is divided by 13.
6
Calculate the remainder when (-10740)/(-195) + 6/(-78) is divided by 20.
15
Suppose 0 = 12*i - 7*i - 105. Calculate the remainder when 225 is divided by i.
15
Let b = 27 - 2. Let i = -19 + 45. What is the remainder when b is divided by (-145)/(-11) + i/(-143)?
12
Let p(q) be the third derivative of -q**4/12 - q**3 - 12*q**2. What is the remainder when 15 is divided by p(-6)?
3
Let h be ((-30)/3)/((-2)/20). Suppose k = 6*k - h. What is the remainder wh