t is the remainder when q(a) is divided by 4?
1
Let p(g) = 5*g**3 - g**2 - g + 1. Let i(c) = c**3 - 15*c**2 - 14*c - 20. Calculate the remainder when i(16) is divided by p(1).
0
Suppose -i + 13 = -4. Let a = i + -13. What is the remainder when 13 is divided by a?
1
Suppose -14*h + 15*h - j - 46 = 0, -5*h + 4*j + 235 = 0. Calculate the remainder when h is divided by 22.
7
Let v(f) = 10*f**3 + 5*f**2 + 21*f - 74. What is the remainder when v(3) is divided by 51?
49
Let a(n) = 283*n - 12. Calculate the remainder when a(1) is divided by 16.
15
Let m(t) = 2 + 2*t**2 - 5*t - 3 + 4 + 4. Let u be m(-5). Suppose -2*p = 2*p + 5*z - u, -2*z + 22 = p. What is the remainder when p is divided by 7?
4
Let v = 1514 - 1510. Let k = 20 + -14. What is the remainder when k is divided by v?
2
Let c(l) = -l**3 + 7*l**2 - 13*l + 28. What is the remainder when 20 is divided by c(5)?
7
Let c = -994 - -1013. What is the remainder when 179 is divided by c?
8
Let y be (7153/46)/(2/4). Let g = -3 + y. Suppose 5*o = 3*v + g, 5*o - 302 = -v - 2*v. Calculate the remainder when o is divided by 31.
30
Let s = -2 - -2. Suppose s = -3*y + 18 + 24. Calculate the remainder when 40 is divided by y.
12
Suppose -15 + 37 = -s. Let m = -11 - s. Suppose -1 = 3*y - x - 12, -5*y - 2*x + m = 0. What is the remainder when 9 is divided by y?
0
Let p(x) = 5*x**3 - x**2 + 3*x - 6. Let t(o) = 3*o**3 - o**2 + 2*o - 4. Let c(z) = 5*p(z) - 8*t(z). Calculate the remainder when 29 is divided by c(-2).
5
Suppose -5 + 2 = -3*k. Suppose 6*z + k = 5*z. What is the remainder when ((-4)/(-8) + z)*-34 is divided by 5?
2
Let u(w) = -19*w - 2. Suppose 39 = 4*h - 4*j - 61, -4*h - 5*j = -136. Calculate the remainder when u(-3) is divided by h.
26
Let b(s) = 7*s - 46. Let m(u) = 4*u - 23. Let q(x) = -3*b(x) + 5*m(x). Calculate the remainder when 43 is divided by q(12).
10
Let n(m) = m**2 + 8*m - 146. Suppose -11 = 3*d - 86. Calculate the remainder when d is divided by n(9).
4
Suppose 3*g = -173 + 248. What is the remainder when g is divided by 24?
1
Suppose -3*d - 4*d = -49. What is the remainder when 18/45 - 63/(-5) is divided by d?
6
Let z = -5 - -12. Suppose 0 = 4*d - 105 - z. What is the remainder when d is divided by 15?
13
Let i(y) = -17*y - 101. What is the remainder when 112 is divided by i(-8)?
7
Suppose -18*x - 3*n + 167 = -16*x, x = -4*n + 81. Calculate the remainder when 1018 is divided by x.
83
Let q(y) be the first derivative of -3*y**2/2 - 11*y - 14. Calculate the remainder when 14 is divided by q(-5).
2
Suppose -5*m + 551 = 3*u, 7*m - 11*m = -3*u - 457. What is the remainder when m is divided by 23?
20
Suppose 3*m = -5*f, 3*f - 4*m = -9*m. Let z = -25 - -28. Suppose z*o - 21 = -f*o. What is the remainder when 26 is divided by o?
5
Suppose 2*l - 136 = -2*l. Calculate the remainder when 225 is divided by l.
21
Suppose 4*y = -25 - 179. Let a = -29 - y. Calculate the remainder when a is divided by 12.
10
Let i(q) = q + 11. Suppose -3*o + 3*p - 1 = -34, -3*p = -2*o + 27. What is the remainder when 83 is divided by i(o)?
15
Let b(n) = -n**2 - 10*n - 5. Let y = -2405 - -2422. What is the remainder when y is divided by b(-8)?
6
Suppose -20 = 8*g - 18*g. Suppose m - g*v - 29 = 0, 0*m - 2*v - 104 = -4*m. Calculate the remainder when 46 is divided by m.
21
Let l = 70 + -7. Let j = -45 + 78. Let c = j - 17. What is the remainder when l is divided by c?
15
Suppose -1136 = p - 9*p. Suppose -10*f + p = -58. Calculate the remainder when 34 is divided by f.
14
Let y(w) = w**2 - w. Let x be y(2). Suppose 0*h = h - 5. What is the remainder when -6*(1 - x)*2 is divided by h?
2
Suppose z - 2*z + o + 398 = 0, 0 = 3*z - 2*o - 1193. What is the remainder when z is divided by 40?
37
Suppose 2*s + 5 = 1. Let m = s - -17. Suppose -2*b + 54 = -0*b. What is the remainder when b is divided by m?
12
Suppose -12 = 2*d - 56. Calculate the remainder when d is divided by 6.
4
Suppose -3*b - 9*q = -5*q - 164, b - 53 = -3*q. What is the remainder when 120 is divided by b?
8
Let r(w) = -148*w - 881. Let j = 0 + -1. Calculate the remainder when r(-6) is divided by 2 + 0*j/2.
1
Suppose 3*i + 4*r - 452 = 0, 5*i - 2*r = -0*r + 788. Suppose -5*g + g = -i. Calculate the remainder when g is divided by 8.
7
Let z(b) = -b**2 - 6*b - 6. Let y be z(-4). Suppose 3*q + 0*q = -4*j + 163, 4*j - y*q = 178. What is the remainder when j is divided by 11?
10
Let r(j) be the third derivative of j**6/120 - 7*j**5/60 + j**4/24 + j**3 + j**2. Let g = 175 - 124. What is the remainder when g is divided by r(7)?
12
Let f be 10/40 + (-351)/(-4). Suppose -196*y = -200*y + f. What is the remainder when 35 is divided by y?
13
Suppose 47*q = 51*q - 64. What is the remainder when q is divided by 5?
1
Let b = 198 + -161. Calculate the remainder when b is divided by 8.
5
Suppose 0*f = -2*f + 44. Let u = 187 - 124. What is the remainder when u is divided by f?
19
Let t(y) = -3*y - 14. Let v be t(-6). Let j be -8*v/((-32)/74). Suppose -l + 64 = -5*o, o + 4*o - j = -l. Calculate the remainder when l is divided by 24.
21
Let z(d) = 2*d**2 + d + 1. Let l be z(7). Suppose 4 = 5*f - l. What is the remainder when 109 is divided by f?
21
Let b(y) = y + 7. Calculate the remainder when 108 is divided by b(3).
8
Let l(g) = -g**3 - 3*g**2 + 4. Let u be l(-4). Let o be (-1 - -11)*8/u. Suppose o*z - 12 = -0. Calculate the remainder when 5 is divided by z.
2
Let b(a) = a**3 - 4*a**2 + 12*a**2 + 6*a**2 + 29 - 36*a + 45*a. Calculate the remainder when b(-13) is divided by 28.
25
Let j(h) = 2*h**2 + 20*h + 4. Let c be j(-14). Suppose 3*v - 7 = c. What is the remainder when 78 is divided by v?
37
Let b = -297 + 535. Calculate the remainder when b is divided by 120.
118
Let p(i) = -i**2 - 2*i. Let w be p(-3). Calculate the remainder when 77 is divided by ((-2)/w)/((-2)/(-120)).
37
Suppose 5*p - 5 = -0. Let z be p - (-6)/(-3) - -2. Let g(f) = 15*f**2 - 1. What is the remainder when 26 is divided by g(z)?
12
Let u(c) = -85*c - 2. What is the remainder when u(-1) is divided by (6 - 7)/(5 - 106/21)?
20
Calculate the remainder when 33 is divided by 0 + (3/2 - 99/(-6)).
15
Suppose 0 = -6*n + 10*n - 4*r - 104, 57 = 3*n + 4*r. What is the remainder when 91 is divided by n?
22
Let u be (9/12)/((-1)/(-4)). What is the remainder when 30 is divided by (-273)/(-13) + (2/2 - u)?
11
Let g = 187 + -170. Suppose -3 = l + 9. What is the remainder when l/(66/(-21) - -3) is divided by g?
16
Suppose 3*o - 9*o = 84. What is the remainder when 13 is divided by (-4)/o + (-432)/(-56)?
5
Suppose -o - 30 = -s - 2*s, -4*o = -s + 10. Suppose 2*r - s = 26. Let v = -48 - -82. Calculate the remainder when v is divided by r.
16
Suppose -4*h + n = -90, -2*h + 16 + 20 = -5*n. Suppose 293 - 111 = 2*y. What is the remainder when y is divided by h?
22
Let n(y) = -12*y + 93. What is the remainder when n(5) is divided by 6?
3
Let y(t) = -5*t**3 - 4*t - 3. Let w be y(-2). Let z = w - 33. Calculate the remainder when 20 is divided by z.
8
Calculate the remainder when (-4924)/(-10) - 0 - (-22)/(-55) is divided by 162.
6
Let q be 7/((-42)/(-12)) - 9. Calculate the remainder when ((-21)/15)/q - (-1118)/10 is divided by 29.
25
Suppose 7*x = 3*x. Suppose -3*o = -5*v - o + 15, -o = v - 3. Let d = x + v. Calculate the remainder when 10 is divided by d.
1
Let j(w) = 11*w**2 + 10*w + 5. Let h be j(8). Let v = h - 415. Suppose 5*o - v = 61. What is the remainder when o is divided by 30?
27
Let d(u) = 4*u**3 - 52*u**2 + 9*u + 26. What is the remainder when d(13) is divided by 6?
5
Suppose 0 = -5*o + 3*a + 129, -163*a + 17 = o - 168*a. Suppose 2*m = 5*h + 148, 0 = 3*m - 4*h - 171 - 51. What is the remainder when m is divided by o?
20
Let x be (-2 - -9 - 3)*3. Let o be 345/4 - x/(-16). Suppose d + 4*d + 93 = 3*y, -o = -3*y + 3*d. What is the remainder when 49 is divided by y?
23
Suppose 0 = -4*i - 8, 4*w - 51 = 5*i - 13. What is the remainder when 7 is divided by w?
0
Let c = 15 + -7. Suppose -a - 4*a + 61 = -m, a + 4*m = c. Calculate the remainder when 57 is divided by a.
9
Let o(w) = w + 1. Let x be o(3). Suppose -x*i = 4*a + 116, 3*i - a + 9 + 62 = 0. Calculate the remainder when 15 is divided by (-160)/i + (-2)/5.
3
Let r(i) = 45*i + 111. What is the remainder when 77 is divided by r(-2)?
14
Let f = 361 + -147. Let q = -87 + f. Cal