emainder when 455 is divided by a.
75
Let n(a) = -4*a**2 + 282*a - 91. Let p(f) = f + 10. Calculate the remainder when n(70) is divided by p(0).
9
Let k(r) = -54*r - 203. Calculate the remainder when k(-8) is divided by 13.
8
Suppose 2*w = -3*r + 217, -4*r - 323 + 71 = -2*w. Suppose -y + w = -22. What is the remainder when y is divided by 35?
33
Suppose -58*z + 22*z = -1296. What is the remainder when z is divided by 5?
1
Let a = -41 - -6. Let t = 20 - a. Calculate the remainder when 107 is divided by t.
52
Let x = 1852 + -1724. What is the remainder when x is divided by 119?
9
Let s(m) = 2*m**3 + m**2 - 4*m - 1. Let f be s(2). Suppose f = g - 11. Calculate the remainder when 129 is divided by g.
19
Let y(d) = d**2 + 20*d + 7. What is the remainder when 25 is divided by y(-20)?
4
Let b(a) = 13*a**2 + 1. Let u be (-1 + -1)/(-2) - 2. Let d = -22 - -47. What is the remainder when d is divided by b(u)?
11
Suppose -3*r = -218 + 5. Suppose -11*s - 3*g + 30 = -10*s, 5*g - 20 = 0. Calculate the remainder when r is divided by s.
17
Let z be (-272)/((-8)/2) - (1 + 0). Suppose u - 3*u + 60 = -2*s, -2*u = 5*s - z. Calculate the remainder when 90 is divided by u.
28
Let y = -214 - -212. Let v(c) = -2*c**3 + 4*c - 3*c + 3*c**2 + c**3. Calculate the remainder when 33 is divided by v(y).
15
Suppose 0 = g, 2*p - 60 = 6*g - 3*g. What is the remainder when p is divided by (2/4)/((-1)/(-22))?
8
Let t = -1 + 17. Suppose -3*p + t = -p. Suppose 63 = m + p. Calculate the remainder when m is divided by 28.
27
Let s = 1060 + -990. Let r = -31 - -55. Calculate the remainder when s is divided by r.
22
Let g = -68 - -122. Calculate the remainder when 213 is divided by g.
51
Suppose -4*u = -3*b + 18, 5*u = -5*b - 2 - 3. Suppose -13 = -b*k - 3. Suppose k*i - 5 = 70. Calculate the remainder when 58 is divided by i.
13
Let y be (10 + -9)/(-2 + 1). Calculate the remainder when 54 is divided by 18 + y + (-4)/(-2).
16
Suppose -5*f - 1 - 14 = 0. What is the remainder when 109 is divided by ((-16)/(-24))/(f/(-126))?
25
Suppose 24*u = 335 + 97. What is the remainder when 36 + (2 + 4)/(-3) is divided by u?
16
Calculate the remainder when (-1)/((2/696)/(1/(-3))) is divided by 56.
4
Suppose 0 = -3*h - 9, -r + h + 0*h + 31 = 0. What is the remainder when 48 is divided by r?
20
Suppose -418 = 3*n - p, 10*p - 5*p - 550 = 4*n. Let j = n - -198. Suppose 2 = 2*x, -t + 0*x - 3*x + 18 = 0. What is the remainder when j is divided by t?
13
Suppose -5*j = -21*j + 480. Let k(t) = 6*t**2 + 2*t + 7. Calculate the remainder when k(-5) is divided by j.
27
Let o(s) = 4*s + 138. What is the remainder when 152 is divided by o(-31)?
12
Let g(f) = 6*f + 4 - 6*f**2 - 6*f + f**3. Let u be g(6). What is the remainder when 47 is divided by 16/10*(6 + u)?
15
Let t(y) = -3*y**2 - 14 - 3*y**2 + y**2 + 4*y**2 - 18*y. What is the remainder when t(-11) is divided by 11?
8
Calculate the remainder when (-4)/6 + 38*10/12 is divided by 9.
4
Let j = 1069 + -1053. Calculate the remainder when 331 is divided by j.
11
What is the remainder when 49 is divided by 1/(3/(-15)) + 6 - -1?
1
Let w = 373 + -336. Calculate the remainder when 53 is divided by w.
16
Let t = 50 + -98. Let i be (t/10)/((-1)/10). Suppose -z = -i - 5. What is the remainder when z is divided by 18?
17
Let c(d) = -d**2 + 9*d - 1. Let q be 36/(-84)*(1 + -8). What is the remainder when 99 is divided by c(q)?
14
Let w be (195/(-20))/((-3)/4). Calculate the remainder when w - (-2 + 4 + -2) is divided by 7.
6
Let b = 21 + -16. Let h be (-238)/(-10) + b/25. Suppose 5*o = 26 + h. Calculate the remainder when 18 is divided by o.
8
Suppose 2*x - 636 = -10*x. Calculate the remainder when 207 is divided by x.
48
Suppose -2*c + 94 = -2*x, 5*c - 142 = x + 73. Let u = 125 - c. What is the remainder when u is divided by 21?
20
Let c(f) = -f**2 + 10*f + 1. Let n be c(10). Let u(w) = -38 + 20*w**2 + 37 + 3*w**2. Calculate the remainder when 63 is divided by u(n).
19
Suppose 0 = 336*a - 332*a - 72. Calculate the remainder when 51 is divided by a.
15
Let c(k) = 2*k + 12. Let u be c(-8). Let d(z) be the second derivative of z**4/12 + z**3/2 + 5*z**2/2 - 37*z. What is the remainder when d(u) is divided by 6?
3
Suppose -5*q - 4*s + 435 = s, -427 = -5*q + 3*s. Calculate the remainder when 1461 is divided by q.
85
Let y(g) = -g**2 - 14*g + 21. Let c be y(-15). Suppose -c*u = 17 - 59. What is the remainder when 3*1*19/3 is divided by u?
5
Suppose 0 = 2*m - 3*g + 22, g + 37 = -m - 4*g. Let k = 31 + m. Let l = 2562 + -2522. Calculate the remainder when l is divided by k.
12
Suppose 9*v - 2723 = -473. Calculate the remainder when v is divided by 17.
12
Suppose 2*k + 3*k - 85 = -4*a, 47 = 4*k - a. Calculate the remainder when k is divided by 10.
3
Let u(f) = 54*f**3 - 2*f**2 + 1. Let o be u(1). What is the remainder when (1 - -11)/3 + o is divided by 15?
12
Let n(p) = 2*p**2 + 7*p - 7. Let b be (6/15)/((-2)/30). Calculate the remainder when (-1)/(-1 + (-66)/(-67)) is divided by n(b).
21
Let h = 9 - -2. Let o = 42 - h. Calculate the remainder when o is divided by 8.
7
Let a(o) = 18*o - 91. Calculate the remainder when 210 is divided by a(9).
68
Let f = -3 + 8. Let a(k) = k**2 + 6*k - 11. Let x be a(-8). Suppose 4*g + 2*b - 41 = -3*b, 85 = 5*g - x*b. What is the remainder when g is divided by f?
4
Let y be 22/(-4) + 2/(-4). Let i be 124/y + 6/9. Let s = -6 - i. What is the remainder when 26 is divided by s?
12
Suppose 2*j = i + 13, i - 3*j + 27 = -i. Let o = -157 + 158. What is the remainder when (-57)/o*5/i is divided by 11?
8
Let w(h) = -3*h + 27. Let i be (-15)/25*(-4 + -1). Suppose -40 = -4*l + i*l. Calculate the remainder when l is divided by w(2).
19
Suppose 0 = 12*r + 48 - 564. Calculate the remainder when 67 is divided by r.
24
Let d(v) = -v**2 - 6*v - 1. Let w be d(-7). What is the remainder when 564/w*4/(-6) is divided by 12?
11
Let j(s) = -7*s - 166. What is the remainder when j(-28) is divided by 29?
1
Suppose 0 = -o - 5*t + 73, 0 = -2*o - 3*t + 101 + 52. Calculate the remainder when o is divided by 21.
15
Let q = -75 + 56. Calculate the remainder when 65 is divided by q/(-1) + 6/(-3).
14
Let u(v) = -2*v + 1. Let b be 4 + -2 + (-14)/2. Let y be u(b). Let f = y - 8. Calculate the remainder when f is divided by 2.
1
Suppose -1 = 3*m - 13. Suppose -m*h - 3*g = -36, 0 = -2*h - 3*g - 2 + 20. Calculate the remainder when h is divided by (3 + 1)/((-4)/(-6)).
3
Suppose z = -5*u + 39, 0 = -8*u + 10*u + 5*z - 34. Calculate the remainder when 55 is divided by u.
6
Let c be 1/3*(-8 + 20). Suppose -g - a = -29, 4*g - c*a = -3*a + 96. Let j = g - 13. Calculate the remainder when 47 is divided by j.
11
Suppose -2*f - f - 1374 = -4*s, -s + 332 = 5*f. Suppose 4*g + 106 = s. What is the remainder when g is divided by 12?
11
Let j = -300 + 312. Calculate the remainder when 44 is divided by j.
8
Let c(w) = -4*w + 15. Let l be c(3). Suppose -l*m + 48 + 0 = 0. Calculate the remainder when 45 is divided by m.
13
Let r = -89 + 89. Suppose r*c - 20 = -4*c, 3*k - 50 = -4*c. Calculate the remainder when k is divided by 8.
2
Let i = 55 + -20. Let l = i - 13. Calculate the remainder when l is divided by 12.
10
Let c be ((-8)/(-2))/(8/12). Suppose c*j + 29 = 101. What is the remainder when 56 is divided by j?
8
Let z = -59 + 51. What is the remainder when (17 - 0)*(3 - z/(-4)) is divided by 11?
6
Let g(h) = 45*h - 76. Calculate the remainder when g(5) is divided by 10.
9
Let a = 69 - 48. What is the remainder when 43 is divided by a?
1
Suppose -2*a + 25 = -49. What is the remainder when a is divided by 10?
7
Suppose -3*k - 127 = -2*v, 12*k - 5 = 11*k. Let n = 15 + -3. Calculate the remainder when v is divided by n.
11
Let f = 337 + -331. Suppose 0 = 2*g - 5*g + 4*n + 57, -2*n - 86 = -4*g. Calculate the remainder when g is divided by f.
5
Let a(i) = -i**3 + 5*i**2 + 7*i - 25. What is the remainder when 70 is divided by a(4)?
13
Suppose 3*t = -13*t + 208. Calculate the remainder when 128 is divided by t.
11
Let a(h) = 9*h**3 + 3*h**2 + 2*h. Let x be a(-4). Calculate the remainder when x/(-40) - (-4)/(-10) is divided by 5.
3
Let b(k) = k**2 + 28*k + 76. What is the remainder when b(-34) is divided by 47?
45
Let h(f) = 12*f**2 + 19*f - 8. What is the remainder when 214 is divided by h(2)?
58
Suppose 52 