ppose 8 = -3*h + h + 4*b, -5*h = -b - 16. Suppose 5*i = 2*g - 0*g - 2, -h*g - 14 = -i. Let s = 0 - i. Calculate the remainder when 4 is divided by s.
0
What is the remainder when 720/(-480) - 2/(8/(-10958)) is divided by 20?
18
Suppose -142 = -4*j - 82. What is the remainder when 59 is divided by j?
14
Let k(y) = 4*y**2 + 8*y - 16. Let c be k(2). Let m(g) = g**2. Calculate the remainder when m(-1) is divided by (-2 + c/10)/(2/(-5)).
0
Suppose -3*o + 22 = n, -4*o = -n + 3*n - 42. Let h(c) = c**2 - 184*c + 6110. Calculate the remainder when h(43) is divided by n.
9
Suppose 5*l + 120 = 5*h, l + 4 = 5*h - 4. Let x = 25 - 26. Let a = x - l. What is the remainder when a is divided by 15?
12
Let s be (-132)/(-14)*(7 + 0). Let y = s - 39. Suppose -3*f = -2*u + 11, -5*u + 3*f + 17 = -15. Calculate the remainder when y is divided by u.
6
Suppose 92*k = 98*k - 438. Calculate the remainder when k is divided by 3.
1
Let i = -417 - -425. Calculate the remainder when (2 - 4)/((-6)/81) is divided by i.
3
Let k(n) = -15*n + 57. Calculate the remainder when k(-19) is divided by 112.
6
Let a be (-3)/6 + 8664/16. Suppose -5*h = 3*m - a, 3*m + 4*h + 189 = 725. Suppose 0 = 3*q - 7*q + m. Calculate the remainder when q is divided by 11.
10
Suppose -94 = 28*l - 30*l. Calculate the remainder when l is divided by 10.
7
Let d = -155 - -386. Calculate the remainder when d is divided by 13.
10
Let v(c) = -2*c**2 - 4. Suppose 2*j + 16 = j + 4*a, 5*j + 42 = a. Let q be v(j). Let n = 186 + q. Calculate the remainder when n is divided by 11.
10
Let r(x) = -x**2 - 44*x + 2. What is the remainder when r(-32) is divided by 26?
22
Suppose 2*u - 14 = -4*v + 88, v + 2*u - 18 = 0. Calculate the remainder when 103 is divided by v.
19
Let l(o) = -o**3 + 52*o**2 - 55*o + 250. Calculate the remainder when 61 is divided by l(51).
15
Suppose 0 = -3*u + 2*g + 15, -5*u + 17 + 24 = 2*g. Let m(z) = 2*z**3 + 23*z**2 + 8*z - 29. Calculate the remainder when u is divided by m(-11).
3
Let k(m) be the third derivative of m**5/60 + m**4/8 + 5*m**3/6 - 13*m**2. What is the remainder when k(-3) is divided by 2?
1
Suppose -7*n + 114 = -n. Calculate the remainder when 42 is divided by n.
4
Suppose 34 = -3*c + 94. Suppose -116 + c = -3*b. Calculate the remainder when 60 is divided by b.
28
Let i(v) = v**3 + 5*v**2 - 30*v + 3. Calculate the remainder when i(-8) is divided by 11.
7
Let u = 11 - 7. What is the remainder when 5 is divided by 6 - (-4)/((-4)/u)?
1
Let f = -21 + 33. Let b be 66/14 + f/42. Suppose -6 = x - 2, 0 = v + b*x - 46. Calculate the remainder when v is divided by 17.
15
Suppose 0 = -5*g - 20, 6*u - 64 = 5*u + 3*g. Calculate the remainder when 517 is divided by u.
49
Let d(x) = x**2 + 12*x + 30. Calculate the remainder when d(-13) is divided by 29.
14
Suppose -10 + 56 = 2*g. Calculate the remainder when 183 is divided by g.
22
Suppose -2*f + 580 = 3*l + 80, -f = 2*l - 332. What is the remainder when 336 is divided by l?
8
Suppose -5*b + 21 - 69 = -4*y, 4*y + 2*b = 76. Calculate the remainder when 1350/(-405) + 157/3 is divided by y.
15
Let v(f) = -f**3 - 5*f**2 + 11*f - 11. Calculate the remainder when 44 is divided by v(-7).
4
Suppose 29*f + 1026 = 35*f. What is the remainder when f is divided by 45?
36
Let f = -25 + 31. Suppose f*c = 23 - 5. What is the remainder when 3 + (-12)/(-3) + -1 is divided by c?
0
Let l = -60 + 54. Calculate the remainder when 18 is divided by (-19)/(-2) - (7 + 45/l).
8
Calculate the remainder when ((-1)/(-1))/(39/468) is divided by 1.
0
Suppose -4*p - j + 116 = 0, 2*p - 31*j = -33*j + 64. Calculate the remainder when p is divided by 5.
3
Let w(p) = 8*p**2 - 18*p. Suppose 2*v + 11*v - 39 = 0. What is the remainder when 29 is divided by w(v)?
11
Suppose 4*i + 126 = 7*i. Calculate the remainder when i is divided by (195/(-26))/((-1)/2).
12
Suppose 2*d + d = 3*i - 75, -96 = -4*i + 5*d. Let q = 2356 + -2350. Calculate the remainder when i is divided by q.
5
Let t = 85 - 65. Calculate the remainder when t is divided by 1.
0
Let o = 7875 + -7856. What is the remainder when ((-4)/(-3))/(4/282) is divided by o?
18
Let s(y) = -76*y**3 - 2*y**2 - 2*y - 1. Let h be s(-1). Suppose 4*i - i = h. Calculate the remainder when 71 is divided by i.
21
Let o = 469 + -150. Calculate the remainder when o is divided by 14.
11
Let q(p) = p**3 - 7*p**2 + 12*p. Let o be (1*10)/(3 + -2 + 1). Calculate the remainder when 37 is divided by q(o).
7
Suppose 8*l = 15*l - 161. What is the remainder when 67 is divided by l?
21
Let h = -342 - -349. Calculate the remainder when 195 is divided by h.
6
What is the remainder when 254 is divided by -1 + -9*29/(-3)?
82
Let q(g) be the first derivative of g**3 - 6*g**2 - 6*g + 15. Let l(j) = -8*j**3 - j**2 + 1. What is the remainder when q(6) is divided by l(-1)?
6
Let b(p) = p**3 - 7*p**2 + 11*p + 12. Let t be b(6). Let k = t - 33. Calculate the remainder when 29 is divided by k.
2
Suppose 119 = -9*q + 596. Let l = 0 - 2. What is the remainder when q is divided by -1 - ((-30)/1 - l)?
26
Let c(b) = b**2 - 8*b - 9. Let z be c(9). Suppose 2*y - 4*w = 0, -4*y + 4*w = -z*w - 4. Let p(i) = 2*i + 1. Calculate the remainder when p(y) is divided by 4.
1
Let x = -33 + 50. Suppose -7*z + 3*z - 960 = 0. Let n = -209 - z. Calculate the remainder when n is divided by x.
14
Suppose -228 - 207 = -29*u. Let t(o) = -o**3 + 9*o**2 - 8*o + 12. Let q be t(8). Let y = q - 8. Calculate the remainder when u is divided by y.
3
Suppose -3*s = -25 + 7. Let i(m) = -m**3 + 6*m**2 + m + 2. Calculate the remainder when 14 is divided by i(s).
6
Let w = 3 - -15. Suppose -9 = 3*c - w. Suppose -c*b + 66 = 3*b. What is the remainder when 63 is divided by b?
8
Suppose 3*b - 1899 = -3*h, 61*h - 65*h + 2532 = 3*b. What is the remainder when h is divided by 6?
3
Let l be ((-3)/2)/(1/(-2)). Let v(c) = c**3 - 2*c**2 + 4 + 3 - 3 - l*c**2. What is the remainder when v(5) is divided by 2?
0
Suppose 5*p + 2*d + 3*d + 90 = 0, -5*p + 3*d - 66 = 0. Let o = -6 - p. Calculate the remainder when 35 is divided by o.
8
Suppose 802*y - 105 = 799*y. Let m(h) = 5*h + 4. Calculate the remainder when y is divided by m(3).
16
Let q(o) = 4*o**2. Let j(z) = -z**3 - 4*z**2 + 3*z - 3. Let x be j(-7). Let d = -78 + x. What is the remainder when d is divided by q(2)?
13
Let f = 1110 + -861. What is the remainder when f is divided by 5?
4
Let w be (1 + 12)/1*(4 - 5). What is the remainder when 0 + 45 + (-13 - w) is divided by 7?
3
Suppose -22*h = -4*r - 26*h + 400, -r + 104 = -3*h. Calculate the remainder when r is divided by 35.
31
Let s(r) = 2*r**3 + 35*r**2 + 13*r - 8. What is the remainder when s(-17) is divided by 16?
12
Let j(s) = s**2 - 12*s + 13. Let h be j(11). Suppose h*t = 4*t - 120. Let z(p) = -p**3 - 9*p**2 - 13*p - 9. What is the remainder when t is divided by z(-8)?
29
Let k = 17 + -15. Suppose -3*z + 3*s - 57 - 177 = 0, 3*s - 153 = k*z. Let b = -48 - z. Calculate the remainder when b is divided by 9.
6
Let o = -2 - -5. Let b = o - 0. Calculate the remainder when b/(-6) + 3/2 is divided by 1.
0
Let m = -165 + 225. Calculate the remainder when m is divided by 11.
5
Suppose -a - 3*f + 78 = 0, 4*a - a = 4*f + 247. Let w be (1/2)/((-12)/1104). Let u = a + w. What is the remainder when u is divided by 9?
8
Suppose 0 = j + 5*n - 76, -102 + 482 = 5*j + 3*n. What is the remainder when 224 is divided by j?
72
Suppose 2*i + 3*j + 31 = 0, -3*i + 0*j = j + 29. Let p(w) = -w + 5. Calculate the remainder when 24 is divided by p(i).
11
Let c = 186 - 147. Calculate the remainder when 140 is divided by c.
23
Let r = -566 + 729. Let f = 38 - 5. Calculate the remainder when r is divided by f.
31
Let v = -9 + 21. Let x(j) = 13*j**3 + v*j**3 + 5*j**3 + 1 - j**2. What is the remainder when x(1) is divided by 16?
14
Let q(v) = -2*v**3 + 7*v**2 - 4*v + 4. Let h be q(5). Let c be (-196)/h - (-4)/(-26). Suppose -10 = -c*t - 0. Calculate the remainder when 19 is divided by t.
4
What is the remainder when 40/30 + (-2643)/9*-1 is divided by 13?
9
Suppose 1995 = 112*r - 17*r. Calculate the remainder when 165 is divided by r.
18
Let r = 310 - 304. What is the remainder when -1*1*(-2 + -15) is divided by r?
5
Suppose -99 + 259 = 4*w. Let k = w + -19. Let f = k - -3. Calculate the remainder when f is divided by 13.
11
Suppose 183